{
"cells": [
{
"cell_type": "markdown",
"id": "conservative-grill",
"metadata": {},
"source": [
"# Degenerations between Jordan spaces"
]
},
{
"cell_type": "markdown",
"id": "e2f0e337",
"metadata": {},
"source": [
"First we define our costfunctional $f(P,Q)$ and $F(P)=\\min_Q f(P,Q)$ for two bases $X$, $Y$ of two Jordan algebras $J_1$ and $J_2$."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "c8e4b487",
"metadata": {},
"outputs": [],
"source": [
"#necessary libraries to solve optimization problem efficiently\n",
"using LinearAlgebra, TensorOperations, Optim\n",
"#library to save data\n",
"using DelimitedFiles\n",
"#library for plots and graphs\n",
"using Plots, GraphRecipes"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "bb3492e5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"F (generic function with 1 method)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#cost function\n",
"function f(P,Q,X,Y)\n",
" m=size(X)[3]\n",
" n=size(X)[1]\n",
" @tensor begin\n",
" y[a,b,c]:=X[a1,b1,c1]*P[a,a1]*P[b,b1]*Q[c,c1]\n",
" end\n",
" return norm(y-Y)^2,y\n",
"end\n",
"\n",
"# we can compute the optimal Q by solving a linear system of equations\n",
"function optimalQ(P,X,Y)\n",
" n=size(X)[1]\n",
" m=size(X)[3]\n",
" Idm=Diagonal(ones(m))\n",
" @tensor begin\n",
" x[a1,a2,b1]:=P[a1,a3]*P[a2,a4]*X[a3,a4,b1]\n",
" end\n",
" x2=conj(x)\n",
" @tensor begin\n",
" Op[b4,b3,b1,b2]:=x2[a1,a3,b3]*x[a1,a3,b2]*Idm[b1,b4]\n",
" rhs[b1,b3]:=x2[a1,a3,b3]*Y[a1,a3,b1]\n",
" end\n",
" Op=reshape(Op,m*m,m*m)\n",
" rhs=reshape(rhs,m*m)\n",
" \n",
" b=qr(Op, Val(true)) \\ rhs\n",
" return reshape(b,m,m)\n",
" \n",
"end\n",
"\n",
"#We can define the cost functional without Q\n",
"function F(P,X,Y)\n",
" m=size(X)[3]\n",
" n=size(X)[1]\n",
" Q=optimalQ(P,X,Y)\n",
" @tensor begin\n",
" y[a,b,c]:=X[a1,b1,c1]*P[a,a1]*P[b,b1]*Q[c,c1]\n",
" end\n",
" return norm(y-Y)^2,y\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "38744c63",
"metadata": {},
"source": [
"We need the gradient of $f$ and $F$ for efficient optimization methods. If $F$ is differentiable, the gradient is $\\nabla F(P)=\\nabla f(P,Q)$, where $Q$ is the minimizer in $\\min_Q f(P,Q)$."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "3ba785d1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"gradF (generic function with 1 method)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function gradf(P,Q,X,Y)\n",
" m=size(X)[3]\n",
" n=size(X)[1]\n",
" #we need res=B(AXA)-Y for everything\n",
" res=f(P,Q,X,Y)[2]-Y\n",
" \n",
" @tensor begin\n",
" #grad with respect to A\n",
" gradA[a,b] := 2*res[a,d,e]*conj(X[b,f,g]*P[d,f]*Q[e,g])\n",
" #grad with respect to B\n",
" gradB[a,b] := res[d,e,a]*conj(X[f,g,b]*P[d,f]*P[e,g])\n",
" end\n",
" return gradA,gradB\n",
"end\n",
"\n",
"function gradF(P,X,Y)\n",
" Q=optimalQ(P,X,Y)\n",
" return gradf(P,Q,X,Y)[1]\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "cb467cbf",
"metadata": {},
"source": [
"Now we define optimization methods. We will use $F$ since having less variables makes this optimization problem easier to handle."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "9a12f6b2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"finddegeneration (generic function with 2 methods)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#if we have a candidate P\n",
"function finddegeneration(P,X,Y)\n",
" #first define the specific function to be optimized\n",
" F1(P)=F(P,X,Y)[1]\n",
" #next the gradient\n",
" function g!(G,P)\n",
" G[:,:]=gradF(P,X,Y)\n",
" end\n",
" #we use the BFGS method\n",
" return optimize(F1,g!, P,LBFGS())\n",
"end\n",
"\n",
"\n",
"#if no candidate is known\n",
"function finddegeneration(X,Y)\n",
" n=size(X)[1]\n",
" P=randn(n,n)+im*randn(n,n)\n",
" return finddegeneration(P,X,Y)\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "eac09333",
"metadata": {},
"source": [
"Next we need to provide the bases of the Jordan Algebras."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "05dff9fc",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"JWF (generic function with 1 method)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#we need the antidiagonal a lot \n",
"function JMatrix(n)\n",
" J=zeros(n,n)\n",
" for i in 1:n\n",
" J[i,n+1-i]=1\n",
" end\n",
" return J\n",
"end\n",
"\n",
"function JMatrix(n,k)\n",
" J=zeros(n,n)\n",
" for i in 1:n-k\n",
" J[i,n+1-k-i]=1\n",
" end\n",
" return J\n",
"end\n",
"\n",
"#helpful function for degenerations of diagonal type\n",
"function Atype(d,k)\n",
" n=d*k\n",
" X=zeros(n,n,d)\n",
" for i in 1:d\n",
" X[:,:,i]=kron(Diagonal(ones(k)),JMatrix(d,i-1))\n",
" end\n",
" return X\n",
"end\n",
"\n",
"#we start with Jordan pencils\n",
"\n",
"#Diagonal type\n",
"function JPA1(k1,k2)\n",
" n=k1+2k2\n",
" X=zeros(n,n,2)\n",
" X[1:k1+k2,1:k1+k2,1]=Diagonal(ones(k1+k2))\n",
" X[1+k1+k2:k1+2k2,1+k1+k2:k1+2k2,2]=Diagonal(ones(k2))\n",
" return X\n",
"end\n",
"#degenerate type\n",
"function JPA2(k1,k2)\n",
" n=k1+2k2\n",
" X=zeros(n,n,2)\n",
" X[1:2k2,1:2k2,:]=Atype(2,k2)\n",
" X[2k2+1:n,2k2+1:n,1]=Diagonal(ones(k1))\n",
" return X\n",
"end\n",
"\n",
"#next Jordan nets\n",
"\n",
"#Diagonal type\n",
"function JNA1(k1,k2,k3)\n",
" n=k1+2k2+3k3\n",
" r=k1+k2+k3\n",
" X=zeros(n,n,3)\n",
" X[r+1:n,r+1:n,2:3]=JPA1(k2,k3)\n",
" X[1:r,1:r,1]=Diagonal(ones(r))\n",
" return X\n",
"end\n",
"#Degenerations\n",
"function JNA2(r,k1,k2)\n",
" n=r+k1+2k2\n",
" X=zeros(n,n,3)\n",
" X[1:r,1:r,1]=Diagonal(ones(r))\n",
" X[r+1:n,r+1:n,2:3]=JPA2(k1,k2)\n",
" return X\n",
"end\n",
"function JNA3(k1,k2,k3)\n",
" n=k1+2k2+3k3\n",
" X=zeros(n,n,3)\n",
" X[1:3k3,1:3k3,:]=Atype(3,k3) \n",
" X[3k3+1:n,3k3+1:n,1:2]=JPA2(k1,k2)\n",
"\n",
" return X\n",
"end\n",
"\n",
"#S^2 type\n",
"\n",
"function JNB1(k)\n",
" X=zeros(2k,2k,3)\n",
" X[:,:,1]=kron([1 0; 0 0],Diagonal(ones(k)))\n",
" X[:,:,2]=kron([0 0; 0 1],Diagonal(ones(k)))\n",
" X[:,:,3]=kron([0 1; 1 0],Diagonal(ones(k)))\n",
" \n",
" return X\n",
"end\n",
"#Degeneration\n",
"function JNB2(k,l1,l2)\n",
" n=l1+2l2\n",
" X=zeros(n,n,3) \n",
" X[1:l2,1:l2,1]=JMatrix(l2)\n",
" X[1+l2:2l2,1+l2:2l2,2]=JMatrix(l2)\n",
" X[2l2+1:n,2l2+1:n,2]=Diagonal(ones(l1))\n",
" X[1:k,l2+1:l2+k,3]=Diagonal(ones(k))\n",
" X[l2+1:l2+k,1:k,3]=Diagonal(ones(k))\n",
" return X\n",
"end\n",
"\n",
"function JNC(n,typ)\n",
" X=zeros(n,n,3)\n",
" X[:,:,1]=JMatrix(n)\n",
" if n==4 || n==5\n",
" if typ==1\n",
" X[1:2,1:2,2:3]=JPA1(0,1)\n",
" else\n",
" X[1:2,1:2,2:3]=JPA2(0,1)\n",
" end\n",
" \n",
" else\n",
" if typ==1\n",
" X[1:2,1:2,2:3]=JPA1(0,1)\n",
" X[3,3,2:3]=ones(2)\n",
" elseif typ==2\n",
" X[1:2,1:2,2:3]=JPA2(0,1)\n",
" X[3,3,3]=1\n",
" elseif typ==3\n",
" X[1:3,1:3,2]=JMatrix(3)\n",
" X[1:3,1:3,3]=JMatrix(3,1) \n",
" \n",
" elseif typ==4\n",
" X[1:3,1:3,2:3]=JPA1(1,1)\n",
" elseif typ==5\n",
" X[1:2,1:2,2:3]=JPA2(0,1)\n",
" X[3,3,2]=1\n",
" elseif typ==6\n",
" X[1:3,1:3,2]=JMatrix(3)\n",
" X[2,2,2]=0\n",
" X[1:3,1:3,3]=JMatrix(3,1) \n",
" elseif typ==7\n",
" X[1:2,1:2,2:3]=JPA1(0,1)\n",
" else\n",
" X[1:2,1:2,2:3]=JPA2(0,1)\n",
" end\n",
" \n",
" \n",
" end \n",
" \n",
" \n",
" return X\n",
"end\n",
"\n",
"#Jordan webs\n",
"\n",
"#Diagonal Type\n",
"function JWA1(k1,k2,k3,k4)\n",
" n=k1+2k2+3k3+4k4\n",
" n2=k1+k2+k3+k4\n",
" X=zeros(n,n,4)\n",
" X[n2+1:n,n2+1:n,2:4]=JNA1(k2,k3,k4)\n",
" X[1:n2,1:n2,1]=Diagonal(ones(n2))\n",
" return X\n",
"end\n",
"\n",
"#degenerations\n",
"function JWA2(k1,k2,l1,l2)\n",
" n1=k1+2k2\n",
" n=n1+l1+2l2\n",
" X=zeros(n,n,4)\n",
" \n",
" X[1:n1,1:n1,1:2]=JPA1(k1,k2)\n",
" X[n1+1:n,n1+1:n,3:4]=JPA2(l1,l2)\n",
" return X\n",
"end\n",
"\n",
"function JWA3(k1,k2,l1,l2)\n",
" n1=k1+2k2\n",
" n=n1+l1+2l2\n",
" X=zeros(n,n,4)\n",
" \n",
" X[1:n1,1:n1,1:2]=JPA2(k1,k2)\n",
" X[n1+1:n,n1+1:n,3:4]=JPA2(l1,l2)\n",
" return X\n",
"end\n",
"\n",
"function JWA4(r,k1,k2,k3)\n",
" n=r+k1+2k2+3k3\n",
" X=zeros(n,n,4)\n",
" X[1:r,1:r,1]=Diagonal(ones(r))\n",
" X[r+1:n,1+r:n,2:4]=JNA3(k1,k2,k3)\n",
" return X\n",
"end\n",
"\n",
"function JWA5(k1,k2,k3,k4)\n",
" n=k1+2k2+3k3+4k4\n",
" X=zeros(n,n,4)\n",
" X[1:4k4,1:4k4,1:4]=Atype(4,k4)\n",
" X[4k4+1:n,4k4+1:n,1:3]=JNA3(k1,k2,k3)\n",
" return X\n",
"end\n",
"\n",
"#other types\n",
"\n",
"function JWB1(k1,k2)\n",
" n=k1+2k2\n",
" X=zeros(n,n,4)\n",
" X[1:k1,1:k1,1]=Diagonal(ones(k1))\n",
" X[k1+1:n,k1+1:n,2:4]=JNB1(k2)\n",
" return X\n",
"end\n",
"\n",
"function JWB2(r,k,l1,l2)\n",
" n=r+l1+2l2\n",
" X=zeros(n,n,4)\n",
" X[1:r,1:r,1]=Diagonal(ones(r))\n",
" X[r+1:n,r+1:n,2:4]=JNB2(k,l1,l2)\n",
" return X\n",
"end\n",
"\n",
"function JWC1(k)\n",
" n=4k\n",
" X=zeros(n,n,4)\n",
" X[:,:,1:3]=JNB1(2k)\n",
" X[1:2k,2k+1:4k,4]= kron(Diagonal(ones(k)),[0 1; -1 0])\n",
" X[2k+1:4k,1:2k,4]=kron(Diagonal(ones(k)),[0 -1; 1 0])\n",
" return X\n",
"end\n",
"\n",
"\n",
"function JWC2(m,k)\n",
" n=2m\n",
" X=zeros(n,n,4)\n",
" X[:,:,1:3]=JNB2(k,0,m)\n",
" X[1:2k,1+m:m+2k,3]=kron(Diagonal(ones(k)),[0 1; -1 0])\n",
" X[1+m:m+2k,1:2k,3]=kron(Diagonal(ones(k)),[0 -1; 1 0])\n",
" \n",
" X[1:m,1+m:n,4]=JMatrix(m)\n",
" X[1+m:n,1:m,4]=JMatrix(m)\n",
" \n",
" return X\n",
"end\n",
"\n",
"function JWD(n,typ)\n",
" X=zeros(n,n,4)\n",
" if n==5\n",
" X[2:5,2:5,1:3]=JNC(4,typ)\n",
" X[1,1,4]=1\n",
" end\n",
" return X\n",
"end\n",
"\n",
"function JWE1(n,typ)\n",
" X=zeros(n,n,4)\n",
" X[1,1,3]=1\n",
" X[1:2,1:2,4]=[0 1; 1 0]\n",
" X[1:3,1:3,1]=[0 0 1; 0 0 0; 1 0 0 ]\n",
" X[2,2,2]=1\n",
" \n",
" if n==4\n",
" if typ ==1\n",
" X[4,4,1]=1\n",
" else\n",
" X[4,4,2]=1 \n",
" end\n",
" elseif n==5\n",
" if typ ==1\n",
" X[4,4,1]=1\n",
" X[5,5,1]=1 \n",
" elseif typ ==2\n",
" X[4,4,1]=1\n",
" X[5,5,2]=1\n",
" else\n",
" X[4,4,2]=1\n",
" X[5,5,2]=1\n",
" end\n",
" end\n",
" return X\n",
"end\n",
"\n",
"function JWE2(n,typ)\n",
" X=zeros(n,n,4)\n",
" X[1,1,3]=1\n",
" X[1,3,4]=1\n",
" X[3,1,4]=1\n",
" X[1:2,1:2,1]=[0 1; 1 0]\n",
" X[3:4,3:4,2]=[0 1; 1 0]\n",
" if n==5\n",
" if typ==1\n",
" X[5,5,1]=1\n",
" else\n",
" X[5,5,2]=1 \n",
" end\n",
" end\n",
" return X\n",
"end\n",
"\n",
"function JWE2(n)\n",
" return JWE2(n,1)\n",
"end\n",
"\n",
"function JWE3(n,typ)\n",
" X=zeros(n,n,4)\n",
" X[1:3,1:3,1]=JMatrix(3)\n",
" X[1:2,1:2,2]=JMatrix(2)\n",
" X[1,1,3]=1\n",
" if typ==1\n",
" X[4:n,4:n,1]=Diagonal(ones(n-3))\n",
" X[1,4,4]=1\n",
" X[4,1,4]=1\n",
" else\n",
" X[1,5,4]=1\n",
" X[5,1,4]=1\n",
" X[4:5,4:5,1:2]=JPA2(0,1)\n",
" end\n",
" return X \n",
" \n",
"end\n",
"\n",
"function JWE3(n)\n",
" return JWE3(n,1)\n",
"end\n",
"\n",
"function JWE4(n,typ)\n",
" X=zeros(n,n,4)\n",
" X[1:3,1:3,1]=JMatrix(3)\n",
" X[1:2,1:2,2]=JMatrix(2)\n",
" X[1,1,3]=1\n",
" X[4:5,4:5,1]=JMatrix(2)\n",
" if typ==1\n",
" X[4,4,4]=1\n",
" else\n",
" X[1,4,4]=1\n",
" X[4,1,4]=1\n",
" end\n",
" return X\n",
"end\n",
"function JWF(n)\n",
" X=zeros(n,n,4)\n",
" X[:,:,1]=JMatrix(n)\n",
" X[1:2,1:2,2:4]=JNB1(1)\n",
" return X\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "f80902d9",
"metadata": {},
"source": [
"For more stability of the results we will transform the bases into orthonormal bases (w.r.t. the inner product $\\langle A,B \\rangle= \\mathrm{tr} (AB)$)."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "e432f13c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"ONB (generic function with 1 method)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function ONB(X)\n",
" n=size(X)[1]\n",
" m=size(X)[3]\n",
" result=zeros(n,n,m)\n",
" \n",
" for i in 1:m\n",
" tmp=X[:,:,i]\n",
" for j in 1:i-1\n",
" tmp-=tr(tmp*result[:,:,j])*result[:,:,j]\n",
" end\n",
" result[:,:,i]=tmp/norm(tmp)\n",
" end\n",
" \n",
" return result\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "b2a0b452",
"metadata": {},
"source": [
"We collect the bases for the orbits of Jordan Algebras in $\\mathbb{S}^n$ for $n=5,6,7$.\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "5673425c",
"metadata": {},
"outputs": [],
"source": [
"#Jordan nets in S^5\n",
"JordanNetsS5=ONB.([\n",
" #codim 16\n",
" JNA1(0,1,1),\n",
" #codim 17\n",
" JNA1(2,0,1),JNA2(1,0,2),JNA2(2,1,1),\n",
" #codim 18\n",
" JNA2(3,0,1),JNA2(1,2,1),JNA3(0,1,1),JNB2(1,1,2),\n",
" #codim 19\n",
" JNA3(2,0,1),JNC(5,1),\n",
" #codim 20\n",
" JNC(5,2)\n",
"]);"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "41eaba6f",
"metadata": {},
"outputs": [],
"source": [
"#Jordan nets in S^6\n",
"JordanNetsS6=ONB.([\n",
" #codim 24\n",
" JNA1(0,0,2),\n",
" #codim 25\n",
" JNA1(1,1,1),JNA2(2,0,2),JNC(6,1),JNB1(3), \n",
" #codim 26\n",
" JNA2(3,1,1),JNA2(1,1,2),JNA2(2,2,1),JNA3(0,0,2),JNC(6,2),JNB2(1,0,3),\n",
" #codim 27\n",
" JNA1(3,0,1),JNA3(1,1,1),JNC(6,4),JNC(6,3),JNB2(1,2,2),\n",
" #codim 28\n",
" JNA2(4,0,1),JNA2(1,3,1),JNC(6,5),\n",
" #codim 29\n",
" JNA3(3,0,1),JNC(6,7),JNC(6,6),\n",
" #codim 30 \n",
" JNC(6,8)\n",
"]);"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "5491d1d6",
"metadata": {},
"outputs": [],
"source": [
"#Jordan nets in S^7\n",
"JordanNetsS7=ONB.([\n",
" #codim 34\n",
" JNA1(1,0,2),\n",
" #codim 35\n",
" JNA2(2,1,2), JNA2(3,0,2), JNA1(0,2,1),\n",
" #codim 36\n",
" JNB2(1,1,3),JNC(7,1),JNA3(1,0,2),JNA2(3,2,1),JNA1(2,1,1),JNA2(1,0,3),\n",
" #codim 37\n",
" JNC(7,2),JNA2(2,3,1),JNA2(1,2,2),JNA3(0,2,1),JNA2(4,1,1),\n",
" #codim 38\n",
" JNB2(1,3,2),JNC(7,3),JNC(7,4),JNA3(2,1,1),\n",
" #codim 39\n",
" JNC(7,5),JNA1(4,0,1),\n",
" #codim 40\n",
" JNC(7,6),JNA2(1,4,1),JNA2(5,0,1),\n",
" #codim 41\n",
" JNC(7,7),JNA3(4,0,1),\n",
" #codim 42\n",
" JNC(7,8)\n",
"]);"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "fd2164d3",
"metadata": {},
"outputs": [],
"source": [
"#Jordan webs in S^4\n",
"JordanWebsS4=ONB.([\n",
" #codim 12\n",
" JWA1(0,0,0,1),\n",
" #codim 13\n",
" JWA2(0,1,0,1),\n",
" #codim 14\n",
" JWE1(4,2), JWA3(0,1,0,1), JWA4(1,0,0,1), JWB1(2,1),\n",
" #codim 15\n",
" JWE2(4), JWA5(0,0,0,1), JWE1(4,1),\n",
" #codim 16\n",
" JWE3(4), JWC1(1),\n",
" #codim 17 \n",
" JWF(4)\n",
"]);"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "862fdbc9",
"metadata": {},
"outputs": [],
"source": [
"#Jordan webs in S^5\n",
"JordanWebsS5=ONB.([\n",
" #codim 24\n",
" JWA1(1,0,0,1),\n",
" #codim 25\n",
" JWA2(1,1,0,1),JWA2(0,1,1,1), JWE3(5,2), JWB1(1,2),\n",
" #codim 26\n",
" JWE1(5,3),JWA4(2,0,0,1), JWA4(1,1,0,1),JWA3(1,1,0,1),JWD(5,1),JWB2(1,1,0,2),JWE1(5,2),\n",
" #codim 27\n",
" JWB1(3,1),JWE2(5,2),JWA5(1,0,0,1),JWE4(5,1),JWD(5,2),JWE2(5,1),\n",
" #codim 28\n",
" JWE1(5,1),JWE3(5,1),\n",
" #codim 29\n",
" JWE4(5,2),\n",
" #codim 30\n",
" JWF(5)\n",
"]);"
]
},
{
"cell_type": "markdown",
"id": "3e9d26b1",
"metadata": {},
"source": [
"We would like to find all degenerations. Since there are many local minima, we will need multiple tries for some of the methods."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "59e6be38",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"recheckdegenerations! (generic function with 1 method)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function findminimum(X,Y,tries)\n",
" n=size(X)[1]\n",
" iterator=0\n",
" error=100.\n",
" P=0\n",
" #first define the specific function to be optimized\n",
" F1(P)=F(P,X,Y)[1]\n",
" #next the gradient\n",
" function g!(G,P)\n",
" G[:,:]=gradF(P,X,Y)\n",
" end\n",
" \n",
" while error>1e-6 && iteratorresult.minimum\n",
" error=result.minimum\n",
" P=result.minimizer\n",
" end\n",
" end\n",
" return error,P,iterator\n",
"end\n",
"\n",
"function finddistances(Data,tries)\n",
" L=length(Data)\n",
" n=size(Data[1])[1]\n",
" dist=zeros(L,L)\n",
" Ps=im*zeros(L,L,n,n)\n",
" \n",
" #first run\n",
" for i in 1:L\n",
" for j in 1:L\n",
" X=Data[i]\n",
" Y=Data[j]\n",
" @time begin\n",
" d,P,iterator=findminimum(X,Y,tries)\n",
" end\n",
" dist[i,j]=d\n",
" Ps[i,j,:,:]=P\n",
" println(\"distance squared from orbit of $i to $j is at most $d. $iterator tries \")\n",
" end\n",
" println()\n",
" end\n",
" \n",
" println(\"first run done\")\n",
" println()\n",
" println(\"second run\")\n",
" revisedistances!(Data,dist,Ps)\n",
" recheckdegenerations!(Data,dist,Ps)\n",
" println(\"third run\")\n",
" revisedistances!(Data,dist,Ps)\n",
" recheckdegenerations!(Data,dist,Ps)\n",
" #second run to check\n",
" \n",
" \n",
" return dist,Ps\n",
"end\n",
"\n",
"function distances(Data,Ps)\n",
" L=length(Data)\n",
" dist=zeros(L,L)\n",
" for i in 1:L\n",
" for j in 1:L\n",
" X=Data[i]\n",
" Y=Data[j]\n",
" P_0=Ps[i,j,:,:]\n",
" result=finddegeneration(P_0,X,Y)\n",
" dist[i,j]=result.minimum\n",
" end\n",
" end\n",
" return dist\n",
"end\n",
"\n",
"\n",
"function revisedistances!(Data,dist,Ps)\n",
" L=length(Data)\n",
" for i in 1:L\n",
" for j in 1:L\n",
" d=dist[i,j]\n",
" for k in 1:L\n",
" if d>dist[i,k]+dist[k,j]\n",
" println(\"distance squared from orbit of $i to $j will be revised since for $i $k $j: $(dist[i,k])+$(dist[k,j])<$d\")\n",
" P_0=Ps[k,j,:,:]*Ps[i,k,:,:]\n",
" X=Data[i]\n",
" Y=Data[j]\n",
" result=finddegeneration(P_0,X,Y)\n",
" if result.minimum\n",
"\n"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(datatograph1(D5s,3)[1],datatograph2(D5s,0.01)[1],size=(1000,500))"
]
},
{
"cell_type": "markdown",
"id": "9d1fd61e",
"metadata": {},
"source": [
"We calculate degenerations for nets in $\\mathbb S^6$."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "b14478e7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.584379 seconds (2.14 M allocations: 995.454 MiB, 23.83% gc time)\n",
"distance squared from orbit of 1 to 1 is at most 3.009921880722286e-13. 2 tries \n",
" 1.385249 seconds (4.99 M allocations: 2.266 GiB, 21.37% gc time)\n",
"distance squared from orbit of 1 to 2 is at most 0.3333333333368205. 10 tries \n",
" 0.193149 seconds (705.71 k allocations: 328.244 MiB, 21.73% gc time)\n",
"distance squared from orbit of 1 to 3 is at most 4.690370893413399e-11. 1 tries \n",
" 2.392815 seconds (8.62 M allocations: 3.920 GiB, 21.37% gc time)\n",
"distance squared from orbit of 1 to 4 is at most 2.417804599474063e-9. 4 tries \n",
" 3.331407 seconds (12.43 M allocations: 5.644 GiB, 21.78% gc time)\n",
"distance squared from orbit of 1 to 5 is at most 1.0000000000001528. 10 tries \n",
" 5.095222 seconds (18.55 M allocations: 8.424 GiB, 21.50% gc time)\n",
"distance squared from orbit of 1 to 6 is at most 0.33333333762932654. 10 tries \n",
" 5.469185 seconds (20.54 M allocations: 9.326 GiB, 21.76% gc time)\n",
"distance squared from orbit of 1 to 7 is at most 0.200000000217467. 10 tries \n",
" 0.479849 seconds (2.01 M allocations: 935.785 MiB, 22.17% gc time)\n",
"distance squared from orbit of 1 to 8 is at most 9.637461752532028e-7. 1 tries \n",
" 0.479665 seconds (2.03 M allocations: 943.757 MiB, 21.81% gc time)\n",
"distance squared from orbit of 1 to 9 is at most 2.9518683378598e-7. 1 tries \n",
" 5.034701 seconds (19.77 M allocations: 8.977 GiB, 21.61% gc time)\n",
"distance squared from orbit of 1 to 10 is at most 1.4787401119654567e-5. 10 tries \n",
" 1.323181 seconds (4.77 M allocations: 2.167 GiB, 21.14% gc time)\n",
"distance squared from orbit of 1 to 11 is at most 0.6666666666667319. 10 tries \n",
" 1.406026 seconds (4.88 M allocations: 2.218 GiB, 20.52% gc time)\n",
"distance squared from orbit of 1 to 12 is at most 0.5000000000125124. 10 tries \n",
" 6.129338 seconds (20.91 M allocations: 9.498 GiB, 20.98% gc time)\n",
"distance squared from orbit of 1 to 13 is at most 1.4084974200003334e-5. 10 tries \n",
" 5.982025 seconds (20.62 M allocations: 9.363 GiB, 20.78% gc time)\n",
"distance squared from orbit of 1 to 14 is at most 0.0002006839868991689. 10 tries \n",
" 5.415550 seconds (19.58 M allocations: 8.889 GiB, 20.89% gc time)\n",
"distance squared from orbit of 1 to 15 is at most 8.995628493529054e-5. 10 tries \n",
" 0.272795 seconds (905.89 k allocations: 421.350 MiB, 19.49% gc time)\n",
"distance squared from orbit of 1 to 16 is at most 0.500000000000024. 10 tries \n",
" 2.313218 seconds (8.09 M allocations: 3.673 GiB, 21.12% gc time)\n",
"distance squared from orbit of 1 to 17 is at most 0.4998212469641491. 10 tries \n",
" 5.467656 seconds (20.10 M allocations: 9.127 GiB, 20.70% gc time)\n",
"distance squared from orbit of 1 to 18 is at most 0.2000022225239855. 10 tries \n",
" 5.268749 seconds (19.89 M allocations: 9.030 GiB, 20.83% gc time)\n",
"distance squared from orbit of 1 to 19 is at most 0.000487451510789052. 10 tries \n",
" 5.855283 seconds (20.56 M allocations: 9.338 GiB, 20.89% gc time)\n",
"distance squared from orbit of 1 to 20 is at most 0.0006060750859037013. 10 tries \n",
" 5.178171 seconds (20.22 M allocations: 9.181 GiB, 21.09% gc time)\n",
"distance squared from orbit of 1 to 21 is at most 2.1416435886041514e-6. 10 tries \n",
" 0.636161 seconds (2.45 M allocations: 1.114 GiB, 21.40% gc time)\n",
"distance squared from orbit of 1 to 22 is at most 2.2283354733132625e-9. 1 tries \n",
" 5.263147 seconds (20.30 M allocations: 9.219 GiB, 20.95% gc time)\n",
"distance squared from orbit of 1 to 23 is at most 0.0004215796017670361. 10 tries \n",
"\n",
" 0.628122 seconds (2.38 M allocations: 1.080 GiB, 20.68% gc time)\n",
"distance squared from orbit of 2 to 1 is at most 0.5000000000002985. 10 tries \n",
" 0.304640 seconds (1.14 M allocations: 528.866 MiB, 21.27% gc time)\n",
"distance squared from orbit of 2 to 2 is at most 1.7280625606689348e-13. 10 tries \n",
" 2.817807 seconds (10.63 M allocations: 4.829 GiB, 21.01% gc time)\n",
"distance squared from orbit of 2 to 3 is at most 0.5000000000264259. 10 tries \n",
" 3.318404 seconds (11.55 M allocations: 5.247 GiB, 20.61% gc time)\n",
"distance squared from orbit of 2 to 4 is at most 0.3333333369387204. 10 tries \n",
" 0.671954 seconds (2.58 M allocations: 1.170 GiB, 21.60% gc time)\n",
"distance squared from orbit of 2 to 5 is at most 1.000000000000056. 10 tries \n",
" 1.181880 seconds (4.73 M allocations: 2.148 GiB, 21.14% gc time)\n",
"distance squared from orbit of 2 to 6 is at most 1.1712309280769558e-7. 4 tries \n",
" 0.601852 seconds (2.42 M allocations: 1.101 GiB, 20.73% gc time)\n",
"distance squared from orbit of 2 to 7 is at most 0.5889020455456393. 10 tries \n",
" 4.743305 seconds (18.17 M allocations: 8.249 GiB, 21.01% gc time)\n",
"distance squared from orbit of 2 to 8 is at most 4.403293018623685e-7. 10 tries \n",
" 0.890449 seconds (3.13 M allocations: 1.422 GiB, 20.17% gc time)\n",
"distance squared from orbit of 2 to 9 is at most 0.5419582998295409. 10 tries \n",
" 4.860690 seconds (18.33 M allocations: 8.326 GiB, 20.65% gc time)\n",
"distance squared from orbit of 2 to 10 is at most 0.33333333522365344. 10 tries \n",
" 0.339651 seconds (1.27 M allocations: 589.438 MiB, 21.70% gc time)\n",
"distance squared from orbit of 2 to 11 is at most 0.6666666666666917. 10 tries \n",
" 0.261313 seconds (1.01 M allocations: 469.951 MiB, 21.97% gc time)\n",
"distance squared from orbit of 2 to 12 is at most 0.25000000000020983. 10 tries \n",
" 5.291559 seconds (20.52 M allocations: 9.319 GiB, 20.85% gc time)\n",
"distance squared from orbit of 2 to 13 is at most 0.0001971287729131748. 10 tries \n",
" 0.548146 seconds (2.13 M allocations: 991.983 MiB, 20.78% gc time)\n",
"distance squared from orbit of 2 to 14 is at most 4.91061571098064e-9. 1 tries \n",
" 5.633651 seconds (19.38 M allocations: 8.803 GiB, 20.36% gc time)\n",
"distance squared from orbit of 2 to 15 is at most 0.3260768770997252. 10 tries \n",
" 0.727608 seconds (2.29 M allocations: 1.040 GiB, 20.70% gc time)\n",
"distance squared from orbit of 2 to 16 is at most 0.705954725405887. 10 tries \n",
" 2.616216 seconds (9.20 M allocations: 4.180 GiB, 20.60% gc time)\n",
"distance squared from orbit of 2 to 17 is at most 0.2500000000142433. 10 tries \n",
" 2.824656 seconds (10.36 M allocations: 4.703 GiB, 20.84% gc time)\n",
"distance squared from orbit of 2 to 18 is at most 7.872143435608598e-7. 5 tries \n",
" 5.535678 seconds (19.94 M allocations: 9.055 GiB, 20.45% gc time)\n",
"distance squared from orbit of 2 to 19 is at most 0.00022202008961776497. 10 tries \n",
" 5.625650 seconds (20.87 M allocations: 9.477 GiB, 20.72% gc time)\n",
"distance squared from orbit of 2 to 20 is at most 0.0002485143963994851. 10 tries \n",
" 3.890370 seconds (14.05 M allocations: 6.381 GiB, 20.26% gc time)\n",
"distance squared from orbit of 2 to 21 is at most 7.199030463236371e-7. 7 tries \n",
" 5.501235 seconds (19.71 M allocations: 8.952 GiB, 20.56% gc time)\n",
"distance squared from orbit of 2 to 22 is at most 0.5000000028194479. 10 tries \n",
" 5.901461 seconds (20.48 M allocations: 9.301 GiB, 20.09% gc time)\n",
"distance squared from orbit of 2 to 23 is at most 0.00011437630112138158. 10 tries \n",
"\n",
" 1.377144 seconds (4.83 M allocations: 2.195 GiB, 20.51% gc time)\n",
"distance squared from orbit of 3 to 1 is at most 0.5000000000000945. 10 tries \n",
" 1.607819 seconds (5.71 M allocations: 2.593 GiB, 20.61% gc time)\n",
"distance squared from orbit of 3 to 2 is at most 0.5833333333333873. 10 tries \n",
" 0.023032 seconds (56.61 k allocations: 26.325 MiB, 39.95% gc time)\n",
"distance squared from orbit of 3 to 3 is at most 5.063579063156662e-14. 1 tries \n",
" 3.800494 seconds (12.21 M allocations: 5.546 GiB, 19.76% gc time)\n",
"distance squared from orbit of 3 to 4 is at most 0.16666666985026424. 10 tries \n",
" 3.054566 seconds (10.61 M allocations: 4.820 GiB, 20.50% gc time)\n",
"distance squared from orbit of 3 to 5 is at most 1.0000000000000502. 10 tries \n",
" 2.285021 seconds (7.92 M allocations: 3.595 GiB, 20.02% gc time)\n",
"distance squared from orbit of 3 to 6 is at most 0.3333333334303624. 10 tries \n",
" 1.847489 seconds (6.96 M allocations: 3.162 GiB, 20.57% gc time)\n",
"distance squared from orbit of 3 to 7 is at most 0.20000000000807894. 10 tries \n",
" 1.277256 seconds (4.51 M allocations: 2.047 GiB, 20.66% gc time)\n",
"distance squared from orbit of 3 to 8 is at most 3.512082237424113e-10. 4 tries \n",
" 0.565963 seconds (1.98 M allocations: 918.829 MiB, 20.40% gc time)\n",
"distance squared from orbit of 3 to 9 is at most 3.540142875819456e-8. 1 tries \n",
" 0.617411 seconds (2.11 M allocations: 983.661 MiB, 20.52% gc time)\n",
"distance squared from orbit of 3 to 10 is at most 5.200381077407878e-9. 1 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 3.169597 seconds (11.86 M allocations: 5.386 GiB, 20.76% gc time)\n",
"distance squared from orbit of 3 to 11 is at most 0.6666666666667316. 10 tries \n",
" 0.827074 seconds (3.23 M allocations: 1.466 GiB, 20.59% gc time)\n",
"distance squared from orbit of 3 to 12 is at most 0.5000000000001374. 10 tries \n",
" 5.393714 seconds (20.46 M allocations: 9.293 GiB, 20.75% gc time)\n",
"distance squared from orbit of 3 to 13 is at most 1.5393051702464955e-5. 10 tries \n",
" 2.178327 seconds (7.08 M allocations: 3.215 GiB, 21.20% gc time)\n",
"distance squared from orbit of 3 to 14 is at most 9.741665047919257e-6. 10 tries \n",
" 5.383987 seconds (19.74 M allocations: 8.963 GiB, 20.58% gc time)\n",
"distance squared from orbit of 3 to 15 is at most 0.0003394721789445783. 10 tries \n",
" 2.830935 seconds (9.79 M allocations: 4.445 GiB, 20.57% gc time)\n",
"distance squared from orbit of 3 to 16 is at most 0.5000000000007083. 10 tries \n",
" 2.807508 seconds (10.06 M allocations: 4.569 GiB, 20.62% gc time)\n",
"distance squared from orbit of 3 to 17 is at most 0.2557849739854668. 10 tries \n",
" 5.398895 seconds (20.83 M allocations: 9.460 GiB, 20.72% gc time)\n",
"distance squared from orbit of 3 to 18 is at most 0.20000000051971098. 10 tries \n",
" 5.157013 seconds (20.27 M allocations: 9.206 GiB, 20.89% gc time)\n",
"distance squared from orbit of 3 to 19 is at most 0.0008553584625885956. 10 tries \n",
" 5.511944 seconds (20.73 M allocations: 9.413 GiB, 20.48% gc time)\n",
"distance squared from orbit of 3 to 20 is at most 0.00013501291486533946. 10 tries \n",
" 5.385816 seconds (20.63 M allocations: 9.368 GiB, 20.68% gc time)\n",
"distance squared from orbit of 3 to 21 is at most 1.3369413912519052e-5. 10 tries \n",
" 0.530122 seconds (2.05 M allocations: 953.391 MiB, 21.49% gc time)\n",
"distance squared from orbit of 3 to 22 is at most 6.630372161885599e-7. 1 tries \n",
" 4.498014 seconds (16.83 M allocations: 7.646 GiB, 20.33% gc time)\n",
"distance squared from orbit of 3 to 23 is at most 6.806574823606655e-8. 9 tries \n",
"\n",
" 0.733450 seconds (2.61 M allocations: 1.183 GiB, 20.22% gc time)\n",
"distance squared from orbit of 4 to 1 is at most 1.0000000000001168. 10 tries \n",
" 2.057245 seconds (7.58 M allocations: 3.443 GiB, 20.49% gc time)\n",
"distance squared from orbit of 4 to 2 is at most 1.000000000000143. 10 tries \n",
" 3.674623 seconds (12.50 M allocations: 5.677 GiB, 20.27% gc time)\n",
"distance squared from orbit of 4 to 3 is at most 0.5000000006319384. 10 tries \n",
" 0.011846 seconds (53.03 k allocations: 24.660 MiB)\n",
"distance squared from orbit of 4 to 4 is at most 8.944469810193513e-13. 1 tries \n",
" 2.943762 seconds (10.73 M allocations: 4.872 GiB, 20.47% gc time)\n",
"distance squared from orbit of 4 to 5 is at most 1.0000000000002869. 10 tries \n",
" 5.874898 seconds (19.35 M allocations: 8.788 GiB, 19.70% gc time)\n",
"distance squared from orbit of 4 to 6 is at most 0.6273220062527215. 10 tries \n",
" 4.942107 seconds (17.70 M allocations: 8.038 GiB, 20.30% gc time)\n",
"distance squared from orbit of 4 to 7 is at most 0.20000000015549102. 10 tries \n",
" 5.030330 seconds (19.32 M allocations: 8.777 GiB, 20.75% gc time)\n",
"distance squared from orbit of 4 to 8 is at most 0.5000000086868255. 10 tries \n",
" 2.502959 seconds (9.97 M allocations: 4.527 GiB, 20.65% gc time)\n",
"distance squared from orbit of 4 to 9 is at most 0.5001088176366681. 10 tries \n",
" 0.563874 seconds (2.16 M allocations: 1006.608 MiB, 20.69% gc time)\n",
"distance squared from orbit of 4 to 10 is at most 8.874732477996175e-7. 1 tries \n",
" 4.436502 seconds (16.58 M allocations: 7.529 GiB, 20.29% gc time)\n",
"distance squared from orbit of 4 to 11 is at most 0.6668422255187376. 10 tries \n",
" 4.336020 seconds (14.43 M allocations: 6.555 GiB, 19.43% gc time)\n",
"distance squared from orbit of 4 to 12 is at most 0.5000000002947357. 10 tries \n",
" 5.478930 seconds (20.71 M allocations: 9.403 GiB, 20.77% gc time)\n",
"distance squared from orbit of 4 to 13 is at most 0.16666691556824464. 10 tries \n",
" 0.542358 seconds (2.11 M allocations: 981.976 MiB, 20.06% gc time)\n",
"distance squared from orbit of 4 to 14 is at most 7.480394254751195e-9. 1 tries \n",
" 1.170467 seconds (4.17 M allocations: 1.892 GiB, 20.45% gc time)\n",
"distance squared from orbit of 4 to 15 is at most 9.746637820280875e-7. 2 tries \n",
" 5.177960 seconds (18.71 M allocations: 8.499 GiB, 20.36% gc time)\n",
"distance squared from orbit of 4 to 16 is at most 0.5001281732449445. 10 tries \n",
" 4.847565 seconds (17.41 M allocations: 7.905 GiB, 20.10% gc time)\n",
"distance squared from orbit of 4 to 17 is at most 0.5000003886968399. 10 tries \n",
" 5.043101 seconds (19.54 M allocations: 8.876 GiB, 20.62% gc time)\n",
"distance squared from orbit of 4 to 18 is at most 0.2000000016579928. 10 tries \n",
" 0.513885 seconds (2.05 M allocations: 951.396 MiB, 20.94% gc time)\n",
"distance squared from orbit of 4 to 19 is at most 6.647613473930702e-7. 1 tries \n",
" 5.834474 seconds (20.92 M allocations: 9.499 GiB, 19.87% gc time)\n",
"distance squared from orbit of 4 to 20 is at most 0.1666670403088053. 10 tries \n",
" 0.702100 seconds (2.12 M allocations: 984.310 MiB, 20.46% gc time)\n",
"distance squared from orbit of 4 to 21 is at most 7.862249340628232e-8. 1 tries \n",
" 4.922640 seconds (18.27 M allocations: 8.298 GiB, 20.54% gc time)\n",
"distance squared from orbit of 4 to 22 is at most 0.00011750332816364824. 10 tries \n",
" 4.911890 seconds (20.57 M allocations: 9.340 GiB, 20.85% gc time)\n",
"distance squared from orbit of 4 to 23 is at most 1.093612921713099e-6. 10 tries \n",
"\n",
" 1.272038 seconds (5.11 M allocations: 2.318 GiB, 21.08% gc time)\n",
"distance squared from orbit of 5 to 1 is at most 0.9770146437555324. 10 tries \n",
" 3.120051 seconds (12.54 M allocations: 5.695 GiB, 20.60% gc time)\n",
"distance squared from orbit of 5 to 2 is at most 0.7333333344521247. 10 tries \n",
" 3.848885 seconds (14.97 M allocations: 6.798 GiB, 20.41% gc time)\n",
"distance squared from orbit of 5 to 3 is at most 0.5000000000310778. 10 tries \n",
" 5.228431 seconds (20.08 M allocations: 9.122 GiB, 20.42% gc time)\n",
"distance squared from orbit of 5 to 4 is at most 0.3333333337026528. 10 tries \n",
" 0.046090 seconds (184.83 k allocations: 85.961 MiB, 17.68% gc time)\n",
"distance squared from orbit of 5 to 5 is at most 5.554355843806013e-13. 3 tries \n",
" 4.710378 seconds (18.40 M allocations: 8.356 GiB, 20.30% gc time)\n",
"distance squared from orbit of 5 to 6 is at most 0.616386948513329. 10 tries \n",
" 3.947491 seconds (15.53 M allocations: 7.053 GiB, 20.57% gc time)\n",
"distance squared from orbit of 5 to 7 is at most 0.20000000006284951. 10 tries \n",
" 3.783963 seconds (13.88 M allocations: 6.303 GiB, 20.12% gc time)\n",
"distance squared from orbit of 5 to 8 is at most 0.5000000000016392. 10 tries \n",
" 0.339166 seconds (1.04 M allocations: 482.926 MiB, 17.41% gc time)\n",
"distance squared from orbit of 5 to 9 is at most 0.4510909381693076. 10 tries \n",
" 5.808154 seconds (20.49 M allocations: 9.304 GiB, 19.97% gc time)\n",
"distance squared from orbit of 5 to 10 is at most 0.3333333335938715. 10 tries \n",
" 5.832919 seconds (20.42 M allocations: 9.272 GiB, 20.00% gc time)\n",
"distance squared from orbit of 5 to 11 is at most 7.225707873384549e-6. 10 tries \n",
" 3.212566 seconds (11.62 M allocations: 5.279 GiB, 20.05% gc time)\n",
"distance squared from orbit of 5 to 12 is at most 0.5000027884106348. 10 tries \n",
" 5.457245 seconds (20.77 M allocations: 9.432 GiB, 20.29% gc time)\n",
"distance squared from orbit of 5 to 13 is at most 0.16682682345060387. 10 tries \n",
" 0.574775 seconds (2.07 M allocations: 961.384 MiB, 20.54% gc time)\n",
"distance squared from orbit of 5 to 14 is at most 8.124410473104478e-10. 1 tries \n",
" 6.065917 seconds (20.10 M allocations: 9.130 GiB, 19.72% gc time)\n",
"distance squared from orbit of 5 to 15 is at most 0.32607688430872245. 10 tries \n",
" 5.796092 seconds (20.83 M allocations: 9.460 GiB, 20.07% gc time)\n",
"distance squared from orbit of 5 to 16 is at most 0.25000005755547305. 10 tries \n",
" 4.015418 seconds (14.44 M allocations: 6.559 GiB, 20.01% gc time)\n",
"distance squared from orbit of 5 to 17 is at most 0.5000000000057041. 10 tries \n",
" 5.589647 seconds (20.10 M allocations: 9.126 GiB, 20.01% gc time)\n",
"distance squared from orbit of 5 to 18 is at most 0.20000111221354214. 10 tries \n",
" 5.771222 seconds (20.86 M allocations: 9.475 GiB, 20.16% gc time)\n",
"distance squared from orbit of 5 to 19 is at most 0.00010685462246983684. 10 tries \n",
" 5.512743 seconds (20.58 M allocations: 9.347 GiB, 20.18% gc time)\n",
"distance squared from orbit of 5 to 20 is at most 0.16700419890967513. 10 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.548950 seconds (1.99 M allocations: 925.147 MiB, 19.77% gc time)\n",
"distance squared from orbit of 5 to 21 is at most 6.063847859563902e-7. 1 tries \n",
" 5.632015 seconds (20.70 M allocations: 9.399 GiB, 20.09% gc time)\n",
"distance squared from orbit of 5 to 22 is at most 0.4328163439834386. 10 tries \n",
" 5.744495 seconds (20.63 M allocations: 9.368 GiB, 20.00% gc time)\n",
"distance squared from orbit of 5 to 23 is at most 0.0005434283932713884. 10 tries \n",
"\n",
" 0.465060 seconds (1.83 M allocations: 849.400 MiB, 20.23% gc time)\n",
"distance squared from orbit of 6 to 1 is at most 0.8964466094260284. 10 tries \n",
" 0.308255 seconds (1.25 M allocations: 579.785 MiB, 19.12% gc time)\n",
"distance squared from orbit of 6 to 2 is at most 0.5000000000001337. 10 tries \n",
" 1.855133 seconds (7.19 M allocations: 3.268 GiB, 20.55% gc time)\n",
"distance squared from orbit of 6 to 3 is at most 0.6473671297286967. 10 tries \n",
" 4.877498 seconds (18.54 M allocations: 8.420 GiB, 20.11% gc time)\n",
"distance squared from orbit of 6 to 4 is at most 0.5000000079279346. 10 tries \n",
" 0.162462 seconds (581.76 k allocations: 270.562 MiB, 22.04% gc time)\n",
"distance squared from orbit of 6 to 5 is at most 1.000000000000028. 10 tries \n",
" 0.105954 seconds (367.92 k allocations: 171.147 MiB, 18.52% gc time)\n",
"distance squared from orbit of 6 to 6 is at most 4.6901323872161e-14. 2 tries \n",
" 0.388882 seconds (1.44 M allocations: 670.993 MiB, 20.19% gc time)\n",
"distance squared from orbit of 6 to 7 is at most 0.5889020455429128. 10 tries \n",
" 3.528043 seconds (12.97 M allocations: 5.890 GiB, 19.97% gc time)\n",
"distance squared from orbit of 6 to 8 is at most 0.25000000000065914. 10 tries \n",
" 1.702031 seconds (6.09 M allocations: 2.767 GiB, 19.93% gc time)\n",
"distance squared from orbit of 6 to 9 is at most 0.6594466049442754. 10 tries \n",
" 5.782714 seconds (20.58 M allocations: 9.345 GiB, 19.79% gc time)\n",
"distance squared from orbit of 6 to 10 is at most 0.45873413544184183. 10 tries \n",
" 0.474016 seconds (1.85 M allocations: 859.428 MiB, 21.54% gc time)\n",
"distance squared from orbit of 6 to 11 is at most 0.7777777777778195. 10 tries \n",
" 0.341752 seconds (1.39 M allocations: 646.033 MiB, 19.67% gc time)\n",
"distance squared from orbit of 6 to 12 is at most 0.250000000000005. 10 tries \n",
" 5.124068 seconds (20.50 M allocations: 9.308 GiB, 20.48% gc time)\n",
"distance squared from orbit of 6 to 13 is at most 8.346726741476915e-5. 10 tries \n",
" 1.518945 seconds (6.15 M allocations: 2.794 GiB, 20.39% gc time)\n",
"distance squared from orbit of 6 to 14 is at most 0.4262869158922584. 10 tries \n",
" 5.560748 seconds (20.28 M allocations: 9.210 GiB, 19.87% gc time)\n",
"distance squared from orbit of 6 to 15 is at most 0.414997291565078. 10 tries \n",
" 2.091109 seconds (8.37 M allocations: 3.802 GiB, 20.73% gc time)\n",
"distance squared from orbit of 6 to 16 is at most 0.8672932565278448. 10 tries \n",
" 2.215961 seconds (8.76 M allocations: 3.978 GiB, 20.41% gc time)\n",
"distance squared from orbit of 6 to 17 is at most 0.25000000002016587. 10 tries \n",
" 3.309189 seconds (12.08 M allocations: 5.485 GiB, 19.97% gc time)\n",
"distance squared from orbit of 6 to 18 is at most 0.20000017040567625. 10 tries \n",
" 0.596824 seconds (2.08 M allocations: 967.361 MiB, 18.86% gc time)\n",
"distance squared from orbit of 6 to 19 is at most 9.002154476570412e-8. 1 tries \n",
" 5.815957 seconds (21.04 M allocations: 9.556 GiB, 20.10% gc time)\n",
"distance squared from orbit of 6 to 20 is at most 0.0002485215197930173. 10 tries \n",
" 5.596612 seconds (20.65 M allocations: 9.380 GiB, 20.06% gc time)\n",
"distance squared from orbit of 6 to 21 is at most 5.5601720989234835e-6. 10 tries \n",
" 4.803377 seconds (17.92 M allocations: 8.140 GiB, 19.98% gc time)\n",
"distance squared from orbit of 6 to 22 is at most 0.675240476791285. 10 tries \n",
" 4.575504 seconds (16.34 M allocations: 7.420 GiB, 20.01% gc time)\n",
"distance squared from orbit of 6 to 23 is at most 5.966707200622681e-7. 8 tries \n",
"\n",
" 1.970417 seconds (8.21 M allocations: 3.726 GiB, 20.45% gc time)\n",
"distance squared from orbit of 7 to 1 is at most 0.8964466094067732. 10 tries \n",
" 2.217147 seconds (8.93 M allocations: 4.053 GiB, 20.18% gc time)\n",
"distance squared from orbit of 7 to 2 is at most 0.5000000011356924. 10 tries \n",
" 1.616651 seconds (6.42 M allocations: 2.916 GiB, 20.50% gc time)\n",
"distance squared from orbit of 7 to 3 is at most 0.5000000000070979. 10 tries \n",
" 5.253451 seconds (18.73 M allocations: 8.505 GiB, 19.64% gc time)\n",
"distance squared from orbit of 7 to 4 is at most 0.33333362552807405. 10 tries \n",
" 4.295651 seconds (14.68 M allocations: 6.666 GiB, 19.48% gc time)\n",
"distance squared from orbit of 7 to 5 is at most 1.000000062155797. 10 tries \n",
" 2.267737 seconds (8.24 M allocations: 3.744 GiB, 19.81% gc time)\n",
"distance squared from orbit of 7 to 6 is at most 0.3333334656011004. 10 tries \n",
" 0.025061 seconds (98.11 k allocations: 45.631 MiB)\n",
"distance squared from orbit of 7 to 7 is at most 7.145877521345389e-13. 1 tries \n",
" 5.630334 seconds (18.22 M allocations: 8.274 GiB, 19.53% gc time)\n",
"distance squared from orbit of 7 to 8 is at most 0.4873233523093018. 10 tries \n",
" 0.534545 seconds (1.77 M allocations: 822.477 MiB, 20.55% gc time)\n",
"distance squared from orbit of 7 to 9 is at most 0.5535514783851555. 10 tries \n",
" 5.743350 seconds (20.83 M allocations: 9.461 GiB, 20.08% gc time)\n",
"distance squared from orbit of 7 to 10 is at most 0.33333336593049273. 10 tries \n",
" 2.060604 seconds (7.53 M allocations: 3.419 GiB, 19.90% gc time)\n",
"distance squared from orbit of 7 to 11 is at most 0.6666666666667272. 10 tries \n",
" 2.131152 seconds (8.42 M allocations: 3.824 GiB, 20.32% gc time)\n",
"distance squared from orbit of 7 to 12 is at most 0.25000000145100554. 10 tries \n",
" 5.232921 seconds (20.43 M allocations: 9.277 GiB, 20.49% gc time)\n",
"distance squared from orbit of 7 to 13 is at most 0.00010906834857585077. 10 tries \n",
" 0.514629 seconds (2.10 M allocations: 978.670 MiB, 19.84% gc time)\n",
"distance squared from orbit of 7 to 14 is at most 6.866188359096149e-7. 1 tries \n",
" 5.058070 seconds (20.87 M allocations: 9.480 GiB, 20.53% gc time)\n",
"distance squared from orbit of 7 to 15 is at most 0.3260770184658947. 10 tries \n",
" 0.981666 seconds (4.00 M allocations: 1.818 GiB, 19.86% gc time)\n",
"distance squared from orbit of 7 to 16 is at most 0.7500000000002294. 10 tries \n",
" 2.412174 seconds (9.74 M allocations: 4.421 GiB, 20.59% gc time)\n",
"distance squared from orbit of 7 to 17 is at most 0.25000046906255247. 10 tries \n",
" 1.005152 seconds (4.01 M allocations: 1.821 GiB, 20.38% gc time)\n",
"distance squared from orbit of 7 to 18 is at most 2.3733382077127282e-9. 2 tries \n",
" 5.228686 seconds (20.44 M allocations: 9.281 GiB, 20.10% gc time)\n",
"distance squared from orbit of 7 to 19 is at most 0.0017968413500270093. 10 tries \n",
" 5.583119 seconds (21.04 M allocations: 9.555 GiB, 20.05% gc time)\n",
"distance squared from orbit of 7 to 20 is at most 5.332060397263414e-5. 10 tries \n",
" 0.685105 seconds (2.11 M allocations: 982.322 MiB, 19.12% gc time)\n",
"distance squared from orbit of 7 to 21 is at most 3.4356496764845524e-7. 1 tries \n",
" 5.375728 seconds (20.93 M allocations: 9.505 GiB, 20.13% gc time)\n",
"distance squared from orbit of 7 to 22 is at most 0.5000001754079236. 10 tries \n",
" 4.622667 seconds (18.70 M allocations: 8.495 GiB, 20.28% gc time)\n",
"distance squared from orbit of 7 to 23 is at most 0.00017869332500034964. 10 tries \n",
"\n",
" 0.277306 seconds (1.16 M allocations: 540.866 MiB, 18.04% gc time)\n",
"distance squared from orbit of 8 to 1 is at most 0.5000000000000103. 10 tries \n",
" 0.370384 seconds (1.47 M allocations: 681.645 MiB, 20.87% gc time)\n",
"distance squared from orbit of 8 to 2 is at most 0.33333333333340853. 10 tries \n",
" 0.967841 seconds (3.93 M allocations: 1.783 GiB, 20.19% gc time)\n",
"distance squared from orbit of 8 to 3 is at most 0.5000000000000816. 10 tries \n",
" 2.673034 seconds (10.73 M allocations: 4.875 GiB, 20.28% gc time)\n",
"distance squared from orbit of 8 to 4 is at most 0.33333333711365387. 10 tries \n",
" 2.185982 seconds (8.73 M allocations: 3.965 GiB, 20.15% gc time)\n",
"distance squared from orbit of 8 to 5 is at most 1.0000000708207324. 10 tries \n",
" 3.282496 seconds (13.09 M allocations: 5.942 GiB, 20.24% gc time)\n",
"distance squared from orbit of 8 to 6 is at most 0.33333333334176934. 10 tries \n",
" 2.370988 seconds (9.56 M allocations: 4.341 GiB, 20.51% gc time)\n",
"distance squared from orbit of 8 to 7 is at most 0.20000000000944446. 10 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.487267 seconds (2.01 M allocations: 935.520 MiB, 19.27% gc time)\n",
"distance squared from orbit of 8 to 8 is at most 3.1292942660853836e-13. 2 tries \n",
" 0.320774 seconds (1.25 M allocations: 582.787 MiB, 21.80% gc time)\n",
"distance squared from orbit of 8 to 9 is at most 0.5629971770848345. 10 tries \n",
" 4.200895 seconds (17.07 M allocations: 7.754 GiB, 20.24% gc time)\n",
"distance squared from orbit of 8 to 10 is at most 0.3333333505519895. 10 tries \n",
" 1.365429 seconds (5.56 M allocations: 2.524 GiB, 20.61% gc time)\n",
"distance squared from orbit of 8 to 11 is at most 0.8156829682957577. 10 tries \n",
" 0.288858 seconds (1.17 M allocations: 543.175 MiB, 20.75% gc time)\n",
"distance squared from orbit of 8 to 12 is at most 0.5000000000051011. 10 tries \n",
" 5.232430 seconds (20.19 M allocations: 9.166 GiB, 20.02% gc time)\n",
"distance squared from orbit of 8 to 13 is at most 5.615286448731454e-5. 10 tries \n",
" 0.596223 seconds (2.09 M allocations: 972.011 MiB, 20.60% gc time)\n",
"distance squared from orbit of 8 to 14 is at most 1.0759759688677524e-7. 1 tries \n",
" 5.106985 seconds (19.58 M allocations: 8.895 GiB, 19.93% gc time)\n",
"distance squared from orbit of 8 to 15 is at most 0.3260768804057029. 10 tries \n",
" 1.127654 seconds (4.32 M allocations: 1.961 GiB, 20.39% gc time)\n",
"distance squared from orbit of 8 to 16 is at most 0.7500000000000095. 10 tries \n",
" 1.012616 seconds (4.14 M allocations: 1.880 GiB, 20.33% gc time)\n",
"distance squared from orbit of 8 to 17 is at most 0.2547617221253965. 10 tries \n",
" 3.219801 seconds (12.86 M allocations: 5.842 GiB, 19.85% gc time)\n",
"distance squared from orbit of 8 to 18 is at most 0.20000000000025955. 10 tries \n",
" 5.045911 seconds (20.26 M allocations: 9.198 GiB, 20.10% gc time)\n",
"distance squared from orbit of 8 to 19 is at most 0.0015093225396690774. 10 tries \n",
" 5.188717 seconds (21.09 M allocations: 9.577 GiB, 20.27% gc time)\n",
"distance squared from orbit of 8 to 20 is at most 0.00021045762696099627. 10 tries \n",
" 5.747044 seconds (20.82 M allocations: 9.454 GiB, 19.74% gc time)\n",
"distance squared from orbit of 8 to 21 is at most 2.104035222611083e-6. 10 tries \n",
" 5.205309 seconds (20.63 M allocations: 9.367 GiB, 19.92% gc time)\n",
"distance squared from orbit of 8 to 22 is at most 0.5000000070290742. 10 tries \n",
" 5.599771 seconds (20.67 M allocations: 9.387 GiB, 19.63% gc time)\n",
"distance squared from orbit of 8 to 23 is at most 1.3422172205946463e-5. 10 tries \n",
"\n",
" 0.612729 seconds (2.04 M allocations: 949.669 MiB, 19.64% gc time)\n",
"distance squared from orbit of 9 to 1 is at most 1.0000000000000866. 10 tries \n",
" 2.065751 seconds (7.92 M allocations: 3.598 GiB, 19.76% gc time)\n",
"distance squared from orbit of 9 to 2 is at most 0.8340970907381584. 10 tries \n",
" 0.656397 seconds (2.56 M allocations: 1.161 GiB, 20.24% gc time)\n",
"distance squared from orbit of 9 to 3 is at most 0.6324643726007304. 10 tries \n",
" 4.096619 seconds (15.86 M allocations: 7.202 GiB, 19.89% gc time)\n",
"distance squared from orbit of 9 to 4 is at most 0.3333333353649726. 10 tries \n",
" 1.406044 seconds (5.45 M allocations: 2.475 GiB, 20.31% gc time)\n",
"distance squared from orbit of 9 to 5 is at most 1.0000000000000608. 10 tries \n",
" 4.673064 seconds (18.41 M allocations: 8.362 GiB, 19.87% gc time)\n",
"distance squared from orbit of 9 to 6 is at most 0.538367639656281. 10 tries \n",
" 0.884547 seconds (3.40 M allocations: 1.545 GiB, 20.32% gc time)\n",
"distance squared from orbit of 9 to 7 is at most 0.621419441119882. 10 tries \n",
" 2.407255 seconds (9.06 M allocations: 4.116 GiB, 19.91% gc time)\n",
"distance squared from orbit of 9 to 8 is at most 0.4475317424834284. 10 tries \n",
" 0.030674 seconds (138.94 k allocations: 64.608 MiB)\n",
"distance squared from orbit of 9 to 9 is at most 2.2528627164947238e-14. 1 tries \n",
" 5.434034 seconds (20.64 M allocations: 9.376 GiB, 19.81% gc time)\n",
"distance squared from orbit of 9 to 10 is at most 0.20833333902778844. 10 tries \n",
" 2.649625 seconds (9.49 M allocations: 4.311 GiB, 19.80% gc time)\n",
"distance squared from orbit of 9 to 11 is at most 0.6666666666721422. 10 tries \n",
" 5.681809 seconds (19.84 M allocations: 9.007 GiB, 19.44% gc time)\n",
"distance squared from orbit of 9 to 12 is at most 0.7500000723306584. 10 tries \n",
" 4.910341 seconds (18.21 M allocations: 8.271 GiB, 19.55% gc time)\n",
"distance squared from orbit of 9 to 13 is at most 1.6221437404151825e-6. 10 tries \n",
" 2.549594 seconds (9.81 M allocations: 4.455 GiB, 19.51% gc time)\n",
"distance squared from orbit of 9 to 14 is at most 0.33337354996683627. 10 tries \n",
" 0.560988 seconds (2.10 M allocations: 975.009 MiB, 19.52% gc time)\n",
"distance squared from orbit of 9 to 15 is at most 2.7516510900433383e-7. 1 tries \n",
" 1.886732 seconds (6.81 M allocations: 3.093 GiB, 19.51% gc time)\n",
"distance squared from orbit of 9 to 16 is at most 0.5000000000011934. 10 tries \n",
" 2.546103 seconds (8.91 M allocations: 4.046 GiB, 19.62% gc time)\n",
"distance squared from orbit of 9 to 17 is at most 0.25159639190434085. 10 tries \n",
" 5.849973 seconds (20.89 M allocations: 9.486 GiB, 19.47% gc time)\n",
"distance squared from orbit of 9 to 18 is at most 0.20289258795194892. 10 tries \n",
" 5.362033 seconds (20.35 M allocations: 9.242 GiB, 19.58% gc time)\n",
"distance squared from orbit of 9 to 19 is at most 0.0006769061504315461. 10 tries \n",
" 6.014474 seconds (21.06 M allocations: 9.566 GiB, 19.59% gc time)\n",
"distance squared from orbit of 9 to 20 is at most 2.2014626825724582e-5. 10 tries \n",
" 5.136207 seconds (18.44 M allocations: 8.374 GiB, 19.45% gc time)\n",
"distance squared from orbit of 9 to 21 is at most 0.0001845990348058072. 10 tries \n",
" 0.581322 seconds (2.11 M allocations: 982.993 MiB, 19.30% gc time)\n",
"distance squared from orbit of 9 to 22 is at most 4.8528821558873626e-8. 1 tries \n",
" 5.614882 seconds (20.65 M allocations: 9.377 GiB, 19.39% gc time)\n",
"distance squared from orbit of 9 to 23 is at most 2.1655566385951013e-5. 10 tries \n",
"\n",
" 1.497988 seconds (4.98 M allocations: 2.262 GiB, 19.11% gc time)\n",
"distance squared from orbit of 10 to 1 is at most 1.0000000000007483. 10 tries \n",
" 2.602340 seconds (8.93 M allocations: 4.053 GiB, 19.71% gc time)\n",
"distance squared from orbit of 10 to 2 is at most 0.7333341296919881. 10 tries \n",
" 2.554576 seconds (9.71 M allocations: 4.409 GiB, 19.95% gc time)\n",
"distance squared from orbit of 10 to 3 is at most 0.5000000265958809. 10 tries \n",
" 0.205506 seconds (771.99 k allocations: 359.096 MiB, 18.19% gc time)\n",
"distance squared from orbit of 10 to 4 is at most 0.16666666666675772. 10 tries \n",
" 1.492292 seconds (5.58 M allocations: 2.535 GiB, 20.14% gc time)\n",
"distance squared from orbit of 10 to 5 is at most 1.0000000000000213. 10 tries \n",
" 4.898339 seconds (17.53 M allocations: 7.961 GiB, 19.42% gc time)\n",
"distance squared from orbit of 10 to 6 is at most 0.6666667743923493. 10 tries \n",
" 1.517670 seconds (5.72 M allocations: 2.599 GiB, 19.50% gc time)\n",
"distance squared from orbit of 10 to 7 is at most 0.20000003238393804. 10 tries \n",
" 3.113311 seconds (13.11 M allocations: 5.953 GiB, 20.27% gc time)\n",
"distance squared from orbit of 10 to 8 is at most 0.5000000300323243. 10 tries \n",
" 3.838160 seconds (15.31 M allocations: 6.954 GiB, 20.06% gc time)\n",
"distance squared from orbit of 10 to 9 is at most 0.5000171371378833. 10 tries \n",
" 0.046584 seconds (184.01 k allocations: 85.599 MiB, 19.25% gc time)\n",
"distance squared from orbit of 10 to 10 is at most 2.4179816778428955e-13. 2 tries \n",
" 4.890639 seconds (18.73 M allocations: 8.507 GiB, 19.62% gc time)\n",
"distance squared from orbit of 10 to 11 is at most 0.6666666695970845. 10 tries \n",
" 5.741477 seconds (20.42 M allocations: 9.274 GiB, 19.57% gc time)\n",
"distance squared from orbit of 10 to 12 is at most 0.5000000043585543. 10 tries \n",
" 5.471832 seconds (20.76 M allocations: 9.430 GiB, 19.80% gc time)\n",
"distance squared from orbit of 10 to 13 is at most 0.1666683312525764. 10 tries \n",
" 0.546578 seconds (2.12 M allocations: 986.649 MiB, 19.86% gc time)\n",
"distance squared from orbit of 10 to 14 is at most 7.21911927373819e-8. 1 tries \n",
" 3.267396 seconds (13.11 M allocations: 5.955 GiB, 19.81% gc time)\n",
"distance squared from orbit of 10 to 15 is at most 6.7998419335423705e-6. 10 tries \n",
" 6.244674 seconds (20.97 M allocations: 9.526 GiB, 18.91% gc time)\n",
"distance squared from orbit of 10 to 16 is at most 0.5000004453613963. 10 tries \n",
" 2.778880 seconds (9.88 M allocations: 4.487 GiB, 19.29% gc time)\n",
"distance squared from orbit of 10 to 17 is at most 0.5000000010017449. 10 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 5.698430 seconds (20.54 M allocations: 9.326 GiB, 19.24% gc time)\n",
"distance squared from orbit of 10 to 18 is at most 0.20000000578967755. 10 tries \n",
" 5.506247 seconds (20.81 M allocations: 9.452 GiB, 19.60% gc time)\n",
"distance squared from orbit of 10 to 19 is at most 1.1911716501194083e-6. 10 tries \n",
" 5.690875 seconds (20.89 M allocations: 9.489 GiB, 19.61% gc time)\n",
"distance squared from orbit of 10 to 20 is at most 0.1666667696809195. 10 tries \n",
" 0.578401 seconds (2.00 M allocations: 928.471 MiB, 19.62% gc time)\n",
"distance squared from orbit of 10 to 21 is at most 2.7384698575935387e-8. 1 tries \n",
" 5.471962 seconds (20.97 M allocations: 9.523 GiB, 19.71% gc time)\n",
"distance squared from orbit of 10 to 22 is at most 3.461059854922562e-5. 10 tries \n",
" 5.290717 seconds (20.72 M allocations: 9.408 GiB, 19.83% gc time)\n",
"distance squared from orbit of 10 to 23 is at most 6.752967172356981e-6. 10 tries \n",
"\n",
" 0.785154 seconds (3.10 M allocations: 1.407 GiB, 19.61% gc time)\n",
"distance squared from orbit of 11 to 1 is at most 0.9770018541118775. 10 tries \n",
" 0.293891 seconds (1.20 M allocations: 559.485 MiB, 18.57% gc time)\n",
"distance squared from orbit of 11 to 2 is at most 0.6666666666667985. 10 tries \n",
" 2.730132 seconds (10.63 M allocations: 4.829 GiB, 19.94% gc time)\n",
"distance squared from orbit of 11 to 3 is at most 0.5000001875174792. 10 tries \n",
" 5.302325 seconds (20.90 M allocations: 9.492 GiB, 19.61% gc time)\n",
"distance squared from orbit of 11 to 4 is at most 0.3333336275517084. 10 tries \n",
" 0.151351 seconds (628.25 k allocations: 292.196 MiB, 17.58% gc time)\n",
"distance squared from orbit of 11 to 5 is at most 0.6666666666667013. 10 tries \n",
" 1.673256 seconds (6.44 M allocations: 2.925 GiB, 20.12% gc time)\n",
"distance squared from orbit of 11 to 6 is at most 0.5993389780077931. 10 tries \n",
" 4.152629 seconds (15.52 M allocations: 7.048 GiB, 19.53% gc time)\n",
"distance squared from orbit of 11 to 7 is at most 0.20005453696701123. 10 tries \n",
" 1.813153 seconds (6.57 M allocations: 2.983 GiB, 19.60% gc time)\n",
"distance squared from orbit of 11 to 8 is at most 0.5000000012336481. 10 tries \n",
" 0.344407 seconds (1.22 M allocations: 565.797 MiB, 20.28% gc time)\n",
"distance squared from orbit of 11 to 9 is at most 0.5435113756148318. 10 tries \n",
" 4.298974 seconds (16.42 M allocations: 7.459 GiB, 19.88% gc time)\n",
"distance squared from orbit of 11 to 10 is at most 0.33333334168319795. 10 tries \n",
" 0.012935 seconds (67.33 k allocations: 31.316 MiB)\n",
"distance squared from orbit of 11 to 11 is at most 5.255184661697187e-13. 1 tries \n",
" 1.359136 seconds (5.76 M allocations: 2.614 GiB, 20.12% gc time)\n",
"distance squared from orbit of 11 to 12 is at most 0.500000000000178. 10 tries \n",
" 5.102681 seconds (20.68 M allocations: 9.391 GiB, 19.81% gc time)\n",
"distance squared from orbit of 11 to 13 is at most 0.16666666751136447. 10 tries \n",
" 1.556820 seconds (6.24 M allocations: 2.836 GiB, 19.75% gc time)\n",
"distance squared from orbit of 11 to 14 is at most 8.110006571315815e-9. 3 tries \n",
" 5.431649 seconds (20.80 M allocations: 9.447 GiB, 19.24% gc time)\n",
"distance squared from orbit of 11 to 15 is at most 0.32607688201872626. 10 tries \n",
" 1.593591 seconds (6.09 M allocations: 2.767 GiB, 19.80% gc time)\n",
"distance squared from orbit of 11 to 16 is at most 0.25000000000178835. 10 tries \n",
" 3.360451 seconds (10.88 M allocations: 4.941 GiB, 18.62% gc time)\n",
"distance squared from orbit of 11 to 17 is at most 0.5000000145775693. 10 tries \n",
" 1.926326 seconds (7.19 M allocations: 3.268 GiB, 19.17% gc time)\n",
"distance squared from orbit of 11 to 18 is at most 0.40000000000244695. 10 tries \n",
" 0.558268 seconds (2.10 M allocations: 975.361 MiB, 20.15% gc time)\n",
"distance squared from orbit of 11 to 19 is at most 2.235975073395793e-8. 2 tries \n",
" 6.291543 seconds (20.21 M allocations: 9.175 GiB, 18.26% gc time)\n",
"distance squared from orbit of 11 to 20 is at most 0.1666694267881068. 10 tries \n",
" 5.306777 seconds (20.57 M allocations: 9.341 GiB, 19.49% gc time)\n",
"distance squared from orbit of 11 to 21 is at most 0.0006066717177827825. 10 tries \n",
" 0.431726 seconds (1.71 M allocations: 794.167 MiB, 19.04% gc time)\n",
"distance squared from orbit of 11 to 22 is at most 0.4328053960685582. 10 tries \n",
" 5.682371 seconds (20.31 M allocations: 9.222 GiB, 19.55% gc time)\n",
"distance squared from orbit of 11 to 23 is at most 1.32268314506516e-6. 10 tries \n",
"\n",
" 0.579439 seconds (2.32 M allocations: 1.053 GiB, 18.86% gc time)\n",
"distance squared from orbit of 12 to 1 is at most 1.0000000000000795. 10 tries \n",
" 0.364918 seconds (1.45 M allocations: 676.648 MiB, 19.72% gc time)\n",
"distance squared from orbit of 12 to 2 is at most 0.5000000000047347. 10 tries \n",
" 2.444234 seconds (9.82 M allocations: 4.460 GiB, 19.58% gc time)\n",
"distance squared from orbit of 12 to 3 is at most 1.0000000000009575. 10 tries \n",
" 5.106339 seconds (20.64 M allocations: 9.374 GiB, 19.77% gc time)\n",
"distance squared from orbit of 12 to 4 is at most 0.6666667654260181. 10 tries \n",
" 0.868478 seconds (3.53 M allocations: 1.603 GiB, 19.57% gc time)\n",
"distance squared from orbit of 12 to 5 is at most 1.3333333333335886. 10 tries \n",
" 2.286540 seconds (9.20 M allocations: 4.180 GiB, 19.69% gc time)\n",
"distance squared from orbit of 12 to 6 is at most 0.33333334023687244. 10 tries \n",
" 3.541988 seconds (14.17 M allocations: 6.437 GiB, 19.47% gc time)\n",
"distance squared from orbit of 12 to 7 is at most 0.5000003468675456. 10 tries \n",
" 3.885498 seconds (15.59 M allocations: 7.081 GiB, 19.67% gc time)\n",
"distance squared from orbit of 12 to 8 is at most 0.5000000000001724. 10 tries \n",
" 3.532023 seconds (14.00 M allocations: 6.359 GiB, 19.85% gc time)\n",
"distance squared from orbit of 12 to 9 is at most 1.000000000002275. 10 tries \n",
" 3.919240 seconds (15.65 M allocations: 7.106 GiB, 19.57% gc time)\n",
"distance squared from orbit of 12 to 10 is at most 0.5000251985393592. 10 tries \n",
" 2.366696 seconds (9.48 M allocations: 4.305 GiB, 19.63% gc time)\n",
"distance squared from orbit of 12 to 11 is at most 0.9791666677193425. 10 tries \n",
" 0.525640 seconds (2.09 M allocations: 970.581 MiB, 19.20% gc time)\n",
"distance squared from orbit of 12 to 12 is at most 0.7500000000003976. 10 tries \n",
" 4.200798 seconds (16.73 M allocations: 7.597 GiB, 19.69% gc time)\n",
"distance squared from orbit of 12 to 13 is at most 0.3333409379747572. 10 tries \n",
" 4.806865 seconds (18.75 M allocations: 8.517 GiB, 19.66% gc time)\n",
"distance squared from orbit of 12 to 14 is at most 0.5000002773641379. 10 tries \n",
" 5.240287 seconds (20.82 M allocations: 9.455 GiB, 19.54% gc time)\n",
"distance squared from orbit of 12 to 15 is at most 0.6458339629620691. 10 tries \n",
" 0.511533 seconds (2.03 M allocations: 945.264 MiB, 19.48% gc time)\n",
"distance squared from orbit of 12 to 16 is at most 1.00000000000037. 10 tries \n",
" 0.764585 seconds (3.07 M allocations: 1.397 GiB, 19.15% gc time)\n",
"distance squared from orbit of 12 to 17 is at most 6.84717979129814e-11. 2 tries \n",
" 0.510805 seconds (2.09 M allocations: 970.694 MiB, 21.02% gc time)\n",
"distance squared from orbit of 12 to 18 is at most 6.892281795963736e-7. 1 tries \n",
" 5.502189 seconds (20.87 M allocations: 9.479 GiB, 19.18% gc time)\n",
"distance squared from orbit of 12 to 19 is at most 0.3333492434612356. 10 tries \n",
" 5.888629 seconds (21.06 M allocations: 9.566 GiB, 19.35% gc time)\n",
"distance squared from orbit of 12 to 20 is at most 1.7633438208466508e-6. 10 tries \n",
" 1.055007 seconds (4.18 M allocations: 1.897 GiB, 19.21% gc time)\n",
"distance squared from orbit of 12 to 21 is at most 3.5602985316776254e-7. 2 tries \n",
" 1.649432 seconds (6.63 M allocations: 3.013 GiB, 19.45% gc time)\n",
"distance squared from orbit of 12 to 22 is at most 0.8750455540789642. 10 tries \n",
" 5.187766 seconds (20.84 M allocations: 9.465 GiB, 19.58% gc time)\n",
"distance squared from orbit of 12 to 23 is at most 3.0917675465206956e-5. 10 tries \n",
"\n",
" 3.223280 seconds (12.58 M allocations: 5.712 GiB, 19.64% gc time)\n",
"distance squared from orbit of 13 to 1 is at most 1.0000000084890992. 10 tries \n",
" 2.519546 seconds (9.02 M allocations: 4.096 GiB, 19.40% gc time)\n",
"distance squared from orbit of 13 to 2 is at most 0.6666668118827497. 10 tries \n",
" 4.406069 seconds (17.32 M allocations: 7.866 GiB, 19.64% gc time)\n",
"distance squared from orbit of 13 to 3 is at most 0.8964469622769567. 10 tries \n",
" 5.086228 seconds (21.08 M allocations: 9.573 GiB, 19.91% gc time)\n",
"distance squared from orbit of 13 to 4 is at most 0.5000003046212781. 10 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 1.680273 seconds (6.87 M allocations: 3.120 GiB, 19.59% gc time)\n",
"distance squared from orbit of 13 to 5 is at most 1.0000003937107163. 10 tries \n",
" 3.177001 seconds (11.77 M allocations: 5.347 GiB, 19.38% gc time)\n",
"distance squared from orbit of 13 to 6 is at most 0.3334250465377652. 10 tries \n",
" 3.599041 seconds (13.10 M allocations: 5.949 GiB, 19.14% gc time)\n",
"distance squared from orbit of 13 to 7 is at most 0.6301240222027034. 10 tries \n",
" 2.605209 seconds (10.52 M allocations: 4.779 GiB, 19.48% gc time)\n",
"distance squared from orbit of 13 to 8 is at most 0.48732272822881634. 10 tries \n",
" 0.758494 seconds (3.04 M allocations: 1.383 GiB, 19.60% gc time)\n",
"distance squared from orbit of 13 to 9 is at most 0.6623028564489924. 10 tries \n",
" 5.639878 seconds (20.80 M allocations: 9.447 GiB, 19.21% gc time)\n",
"distance squared from orbit of 13 to 10 is at most 0.4587344996108677. 10 tries \n",
" 4.787388 seconds (18.92 M allocations: 8.593 GiB, 19.41% gc time)\n",
"distance squared from orbit of 13 to 11 is at most 0.8301371427983814. 10 tries \n",
" 1.189257 seconds (4.59 M allocations: 2.085 GiB, 19.96% gc time)\n",
"distance squared from orbit of 13 to 12 is at most 0.5000724303719044. 10 tries \n",
" 0.014008 seconds (65.18 k allocations: 30.318 MiB)\n",
"distance squared from orbit of 13 to 13 is at most 3.3918253758854486e-12. 1 tries \n",
" 4.285584 seconds (16.87 M allocations: 7.661 GiB, 19.61% gc time)\n",
"distance squared from orbit of 13 to 14 is at most 0.5000002585758326. 10 tries \n",
" 5.526752 seconds (20.91 M allocations: 9.498 GiB, 19.52% gc time)\n",
"distance squared from orbit of 13 to 15 is at most 0.4149973705092607. 10 tries \n",
" 5.281985 seconds (19.40 M allocations: 8.811 GiB, 19.80% gc time)\n",
"distance squared from orbit of 13 to 16 is at most 0.8672935503889967. 10 tries \n",
" 4.754675 seconds (15.71 M allocations: 7.136 GiB, 19.76% gc time)\n",
"distance squared from orbit of 13 to 17 is at most 0.25012919239061054. 10 tries \n",
" 3.144368 seconds (12.74 M allocations: 5.788 GiB, 19.79% gc time)\n",
"distance squared from orbit of 13 to 18 is at most 0.20000006504030224. 10 tries \n",
" 0.506252 seconds (2.06 M allocations: 959.383 MiB, 20.03% gc time)\n",
"distance squared from orbit of 13 to 19 is at most 9.413790254886094e-7. 1 tries \n",
" 0.513950 seconds (2.11 M allocations: 979.664 MiB, 19.63% gc time)\n",
"distance squared from orbit of 13 to 20 is at most 2.3173178116386578e-7. 1 tries \n",
" 2.132899 seconds (8.77 M allocations: 3.983 GiB, 19.80% gc time)\n",
"distance squared from orbit of 13 to 21 is at most 6.644275465248012e-7. 8 tries \n",
" 5.374579 seconds (20.96 M allocations: 9.518 GiB, 19.47% gc time)\n",
"distance squared from orbit of 13 to 22 is at most 0.6752406217484334. 10 tries \n",
" 0.746760 seconds (2.08 M allocations: 969.359 MiB, 18.58% gc time)\n",
"distance squared from orbit of 13 to 23 is at most 2.1351873521118264e-8. 1 tries \n",
"\n",
" 1.230292 seconds (4.00 M allocations: 1.819 GiB, 18.43% gc time)\n",
"distance squared from orbit of 14 to 1 is at most 1.0000000000000293. 10 tries \n",
" 3.519729 seconds (13.22 M allocations: 6.005 GiB, 19.66% gc time)\n",
"distance squared from orbit of 14 to 2 is at most 0.6666666743803712. 10 tries \n",
" 0.369315 seconds (1.32 M allocations: 613.069 MiB, 19.48% gc time)\n",
"distance squared from orbit of 14 to 3 is at most 0.5000000000000376. 10 tries \n",
" 0.862868 seconds (2.96 M allocations: 1.343 GiB, 18.26% gc time)\n",
"distance squared from orbit of 14 to 4 is at most 0.33333333333337073. 10 tries \n",
" 0.983873 seconds (2.60 M allocations: 1.181 GiB, 17.50% gc time)\n",
"distance squared from orbit of 14 to 5 is at most 1.0000000000000377. 10 tries \n",
" 1.328353 seconds (4.78 M allocations: 2.170 GiB, 19.22% gc time)\n",
"distance squared from orbit of 14 to 6 is at most 0.6273220037501102. 10 tries \n",
" 2.109752 seconds (7.40 M allocations: 3.359 GiB, 19.33% gc time)\n",
"distance squared from orbit of 14 to 7 is at most 0.2000000000000981. 10 tries \n",
" 4.274098 seconds (17.49 M allocations: 7.944 GiB, 19.90% gc time)\n",
"distance squared from orbit of 14 to 8 is at most 0.5000000000444984. 10 tries \n",
" 0.243493 seconds (1.02 M allocations: 475.263 MiB, 18.87% gc time)\n",
"distance squared from orbit of 14 to 9 is at most 0.5960617835137192. 10 tries \n",
" 1.238002 seconds (5.19 M allocations: 2.355 GiB, 19.90% gc time)\n",
"distance squared from orbit of 14 to 10 is at most 0.3333333333336929. 10 tries \n",
" 0.354933 seconds (1.48 M allocations: 686.976 MiB, 20.62% gc time)\n",
"distance squared from orbit of 14 to 11 is at most 0.8333333333334838. 10 tries \n",
" 1.462844 seconds (5.43 M allocations: 2.467 GiB, 19.17% gc time)\n",
"distance squared from orbit of 14 to 12 is at most 0.5000000004384669. 10 tries \n",
" 5.008848 seconds (20.50 M allocations: 9.312 GiB, 19.96% gc time)\n",
"distance squared from orbit of 14 to 13 is at most 0.16670151499821056. 10 tries \n",
" 0.010172 seconds (48.72 k allocations: 22.662 MiB)\n",
"distance squared from orbit of 14 to 14 is at most 3.0948329354280836e-13. 1 tries \n",
" 1.172456 seconds (4.83 M allocations: 2.196 GiB, 19.71% gc time)\n",
"distance squared from orbit of 14 to 15 is at most 0.3260768737169596. 10 tries \n",
" 0.801699 seconds (3.34 M allocations: 1.517 GiB, 19.58% gc time)\n",
"distance squared from orbit of 14 to 16 is at most 0.7500000000000799. 10 tries \n",
" 0.269502 seconds (1.10 M allocations: 513.569 MiB, 20.46% gc time)\n",
"distance squared from orbit of 14 to 17 is at most 0.5000000000000202. 10 tries \n",
" 4.832139 seconds (19.19 M allocations: 8.715 GiB, 19.99% gc time)\n",
"distance squared from orbit of 14 to 18 is at most 0.20000000003896987. 10 tries \n",
" 5.357836 seconds (20.99 M allocations: 9.531 GiB, 19.34% gc time)\n",
"distance squared from orbit of 14 to 19 is at most 2.277784285424035e-5. 10 tries \n",
" 4.757098 seconds (18.93 M allocations: 8.597 GiB, 19.60% gc time)\n",
"distance squared from orbit of 14 to 20 is at most 0.1666679861468978. 10 tries \n",
" 0.505974 seconds (2.06 M allocations: 959.717 MiB, 20.09% gc time)\n",
"distance squared from orbit of 14 to 21 is at most 4.320819279485753e-8. 1 tries \n",
" 0.275911 seconds (1.12 M allocations: 519.221 MiB, 20.11% gc time)\n",
"distance squared from orbit of 14 to 22 is at most 0.5000000000000486. 10 tries \n",
" 4.825449 seconds (18.93 M allocations: 8.596 GiB, 19.56% gc time)\n",
"distance squared from orbit of 14 to 23 is at most 5.597286291004132e-7. 9 tries \n",
"\n",
" 0.518935 seconds (1.91 M allocations: 889.803 MiB, 19.22% gc time)\n",
"distance squared from orbit of 15 to 1 is at most 1.0000000000009432. 10 tries \n",
" 2.342239 seconds (8.88 M allocations: 4.030 GiB, 19.10% gc time)\n",
"distance squared from orbit of 15 to 2 is at most 0.9184221375521417. 10 tries \n",
" 1.482711 seconds (5.34 M allocations: 2.426 GiB, 19.66% gc time)\n",
"distance squared from orbit of 15 to 3 is at most 0.8075499102702888. 10 tries \n",
" 0.207659 seconds (729.12 k allocations: 339.129 MiB, 20.32% gc time)\n",
"distance squared from orbit of 15 to 4 is at most 0.3333333333333874. 10 tries \n",
" 0.243441 seconds (903.66 k allocations: 420.344 MiB, 17.07% gc time)\n",
"distance squared from orbit of 15 to 5 is at most 1.0000000000000173. 10 tries \n",
" 5.064671 seconds (19.26 M allocations: 8.745 GiB, 19.81% gc time)\n",
"distance squared from orbit of 15 to 6 is at most 0.6666670800842084. 10 tries \n",
" 2.610456 seconds (10.78 M allocations: 4.897 GiB, 19.70% gc time)\n",
"distance squared from orbit of 15 to 7 is at most 0.6166666666668006. 10 tries \n",
" 3.273037 seconds (12.88 M allocations: 5.849 GiB, 19.73% gc time)\n",
"distance squared from orbit of 15 to 8 is at most 0.5000000050751934. 10 tries \n",
" 5.213368 seconds (21.27 M allocations: 9.663 GiB, 19.66% gc time)\n",
"distance squared from orbit of 15 to 9 is at most 0.5000001154597059. 10 tries \n",
" 0.792949 seconds (2.99 M allocations: 1.356 GiB, 19.05% gc time)\n",
"distance squared from orbit of 15 to 10 is at most 0.208333333333367. 10 tries \n",
" 4.708331 seconds (17.04 M allocations: 7.741 GiB, 19.70% gc time)\n",
"distance squared from orbit of 15 to 11 is at most 0.6666667051262726. 10 tries \n",
" 4.467240 seconds (18.62 M allocations: 8.456 GiB, 19.60% gc time)\n",
"distance squared from orbit of 15 to 12 is at most 0.500000005709653. 10 tries \n",
" 5.339454 seconds (20.93 M allocations: 9.507 GiB, 19.48% gc time)\n",
"distance squared from orbit of 15 to 13 is at most 0.16667632576674768. 10 tries \n",
" 0.204575 seconds (734.10 k allocations: 341.456 MiB, 15.62% gc time)\n",
"distance squared from orbit of 15 to 14 is at most 0.41666666666676483. 10 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.124777 seconds (433.05 k allocations: 201.461 MiB, 24.71% gc time)\n",
"distance squared from orbit of 15 to 15 is at most 1.4978729795838508e-13. 3 tries \n",
" 3.926978 seconds (14.91 M allocations: 6.775 GiB, 19.38% gc time)\n",
"distance squared from orbit of 15 to 16 is at most 0.5000000076121053. 10 tries \n",
" 1.327856 seconds (5.12 M allocations: 2.323 GiB, 19.35% gc time)\n",
"distance squared from orbit of 15 to 17 is at most 0.500009521425657. 10 tries \n",
" 5.594357 seconds (19.96 M allocations: 9.064 GiB, 19.67% gc time)\n",
"distance squared from orbit of 15 to 18 is at most 0.20000000669850865. 10 tries \n",
" 5.109274 seconds (20.89 M allocations: 9.489 GiB, 19.74% gc time)\n",
"distance squared from orbit of 15 to 19 is at most 9.076673087669767e-6. 10 tries \n",
" 5.384284 seconds (20.88 M allocations: 9.483 GiB, 19.27% gc time)\n",
"distance squared from orbit of 15 to 20 is at most 0.16666668735135218. 10 tries \n",
" 1.084022 seconds (4.19 M allocations: 1.903 GiB, 19.04% gc time)\n",
"distance squared from orbit of 15 to 21 is at most 6.549007850755832e-7. 2 tries \n",
" 0.556512 seconds (2.13 M allocations: 990.291 MiB, 19.36% gc time)\n",
"distance squared from orbit of 15 to 22 is at most 3.724431103776777e-8. 1 tries \n",
" 2.766396 seconds (10.39 M allocations: 4.720 GiB, 19.14% gc time)\n",
"distance squared from orbit of 15 to 23 is at most 5.599027719705925e-7. 5 tries \n",
"\n",
" 0.247059 seconds (944.52 k allocations: 439.323 MiB, 19.76% gc time)\n",
"distance squared from orbit of 16 to 1 is at most 1.0000000000000502. 10 tries \n",
" 0.968845 seconds (3.42 M allocations: 1.552 GiB, 19.23% gc time)\n",
"distance squared from orbit of 16 to 2 is at most 0.8888888888889416. 10 tries \n",
" 1.750950 seconds (6.10 M allocations: 2.772 GiB, 19.15% gc time)\n",
"distance squared from orbit of 16 to 3 is at most 0.5000000000001086. 10 tries \n",
" 0.648804 seconds (2.31 M allocations: 1.049 GiB, 19.91% gc time)\n",
"distance squared from orbit of 16 to 4 is at most 0.6666666666667018. 10 tries \n",
" 0.466426 seconds (1.76 M allocations: 818.449 MiB, 20.20% gc time)\n",
"distance squared from orbit of 16 to 5 is at most 1.0000000000037907. 10 tries \n",
" 2.445991 seconds (8.46 M allocations: 3.845 GiB, 19.35% gc time)\n",
"distance squared from orbit of 16 to 6 is at most 0.6197265996041824. 10 tries \n",
" 1.067138 seconds (4.38 M allocations: 1.990 GiB, 19.46% gc time)\n",
"distance squared from orbit of 16 to 7 is at most 0.6000000000045379. 10 tries \n",
" 1.363730 seconds (5.57 M allocations: 2.532 GiB, 20.00% gc time)\n",
"distance squared from orbit of 16 to 8 is at most 0.5000000001372018. 10 tries \n",
" 5.240999 seconds (20.85 M allocations: 9.469 GiB, 19.41% gc time)\n",
"distance squared from orbit of 16 to 9 is at most 0.5000000368721741. 10 tries \n",
" 4.365331 seconds (18.98 M allocations: 8.621 GiB, 19.87% gc time)\n",
"distance squared from orbit of 16 to 10 is at most 0.37500007011911035. 10 tries \n",
" 0.713362 seconds (2.98 M allocations: 1.354 GiB, 19.41% gc time)\n",
"distance squared from orbit of 16 to 11 is at most 0.33333333333826404. 10 tries \n",
" 0.943292 seconds (3.37 M allocations: 1.530 GiB, 19.47% gc time)\n",
"distance squared from orbit of 16 to 12 is at most 0.9166666666667203. 10 tries \n",
" 1.167297 seconds (3.58 M allocations: 1.627 GiB, 18.74% gc time)\n",
"distance squared from orbit of 16 to 13 is at most 0.4055194377748304. 10 tries \n",
" 1.212312 seconds (4.37 M allocations: 1.985 GiB, 18.68% gc time)\n",
"distance squared from orbit of 16 to 14 is at most 0.6666666666794544. 10 tries \n",
" 4.517449 seconds (17.48 M allocations: 7.940 GiB, 19.59% gc time)\n",
"distance squared from orbit of 16 to 15 is at most 0.3333335077872865. 10 tries \n",
" 0.082545 seconds (327.91 k allocations: 152.512 MiB, 22.85% gc time)\n",
"distance squared from orbit of 16 to 16 is at most 5.927032809129082e-12. 2 tries \n",
" 0.441826 seconds (1.83 M allocations: 851.111 MiB, 19.37% gc time)\n",
"distance squared from orbit of 16 to 17 is at most 0.4841189103880403. 10 tries \n",
" 2.218456 seconds (8.81 M allocations: 4.003 GiB, 19.38% gc time)\n",
"distance squared from orbit of 16 to 18 is at most 0.6000000003181641. 10 tries \n",
" 5.206344 seconds (20.27 M allocations: 9.207 GiB, 19.53% gc time)\n",
"distance squared from orbit of 16 to 19 is at most 0.33333333627921985. 10 tries \n",
" 6.185534 seconds (20.49 M allocations: 9.305 GiB, 18.72% gc time)\n",
"distance squared from orbit of 16 to 20 is at most 0.1666667020613107. 10 tries \n",
" 1.580580 seconds (5.73 M allocations: 2.602 GiB, 19.09% gc time)\n",
"distance squared from orbit of 16 to 21 is at most 0.5000018935030033. 10 tries \n",
" 0.551326 seconds (2.04 M allocations: 949.070 MiB, 18.41% gc time)\n",
"distance squared from orbit of 16 to 22 is at most 9.576673164440107e-8. 1 tries \n",
" 0.616182 seconds (2.26 M allocations: 1.026 GiB, 18.07% gc time)\n",
"distance squared from orbit of 16 to 23 is at most 5.193532522333365e-7. 2 tries \n",
"\n",
" 0.571176 seconds (1.95 M allocations: 908.327 MiB, 19.16% gc time)\n",
"distance squared from orbit of 17 to 1 is at most 1.000000000000044. 10 tries \n",
" 0.584535 seconds (2.19 M allocations: 1017.499 MiB, 18.49% gc time)\n",
"distance squared from orbit of 17 to 2 is at most 0.8333333333334472. 10 tries \n",
" 0.700874 seconds (2.60 M allocations: 1.179 GiB, 18.68% gc time)\n",
"distance squared from orbit of 17 to 3 is at most 1.0000000000030727. 10 tries \n",
" 1.792455 seconds (7.39 M allocations: 3.357 GiB, 19.32% gc time)\n",
"distance squared from orbit of 17 to 4 is at most 0.8333339491799714. 10 tries \n",
" 0.329683 seconds (1.19 M allocations: 554.156 MiB, 19.17% gc time)\n",
"distance squared from orbit of 17 to 5 is at most 1.333333333333479. 10 tries \n",
" 1.011445 seconds (3.82 M allocations: 1.735 GiB, 19.07% gc time)\n",
"distance squared from orbit of 17 to 6 is at most 0.33333333333336546. 10 tries \n",
" 0.768698 seconds (2.92 M allocations: 1.328 GiB, 19.52% gc time)\n",
"distance squared from orbit of 17 to 7 is at most 0.8799795560894286. 10 tries \n",
" 0.975099 seconds (3.92 M allocations: 1.779 GiB, 19.50% gc time)\n",
"distance squared from orbit of 17 to 8 is at most 0.5000000000014072. 10 tries \n",
" 3.018798 seconds (10.95 M allocations: 4.976 GiB, 18.93% gc time)\n",
"distance squared from orbit of 17 to 9 is at most 1.0000000001914482. 10 tries \n",
" 4.235590 seconds (16.89 M allocations: 7.672 GiB, 19.13% gc time)\n",
"distance squared from orbit of 17 to 10 is at most 0.5000001344763224. 10 tries \n",
" 0.480585 seconds (1.76 M allocations: 819.433 MiB, 19.36% gc time)\n",
"distance squared from orbit of 17 to 11 is at most 0.9791666666669094. 10 tries \n",
" 1.021784 seconds (3.94 M allocations: 1.790 GiB, 19.55% gc time)\n",
"distance squared from orbit of 17 to 12 is at most 0.9500000000031346. 10 tries \n",
" 4.969714 seconds (19.07 M allocations: 8.661 GiB, 19.23% gc time)\n",
"distance squared from orbit of 17 to 13 is at most 0.3333906078025592. 10 tries \n",
" 0.886942 seconds (3.72 M allocations: 1.692 GiB, 20.01% gc time)\n",
"distance squared from orbit of 17 to 14 is at most 0.6666666666672746. 10 tries \n",
" 4.181621 seconds (17.29 M allocations: 7.852 GiB, 19.34% gc time)\n",
"distance squared from orbit of 17 to 15 is at most 0.6666671765784656. 10 tries \n",
" 0.442622 seconds (1.84 M allocations: 854.403 MiB, 21.15% gc time)\n",
"distance squared from orbit of 17 to 16 is at most 0.875000000000072. 10 tries \n",
" 0.010031 seconds (45.87 k allocations: 21.331 MiB)\n",
"distance squared from orbit of 17 to 17 is at most 6.179297924991388e-14. 1 tries \n",
" 0.659380 seconds (2.46 M allocations: 1.117 GiB, 18.99% gc time)\n",
"distance squared from orbit of 17 to 18 is at most 0.5615196053982421. 10 tries \n",
" 5.789063 seconds (20.78 M allocations: 9.439 GiB, 19.24% gc time)\n",
"distance squared from orbit of 17 to 19 is at most 0.33333388049947704. 10 tries \n",
" 4.866824 seconds (20.60 M allocations: 9.354 GiB, 19.49% gc time)\n",
"distance squared from orbit of 17 to 20 is at most 9.408404162705941e-5. 10 tries \n",
" 2.788619 seconds (11.64 M allocations: 5.285 GiB, 19.63% gc time)\n",
"distance squared from orbit of 17 to 21 is at most 0.5000000427075242. 10 tries \n",
" 1.127254 seconds (4.53 M allocations: 2.057 GiB, 20.01% gc time)\n",
"distance squared from orbit of 17 to 22 is at most 0.8750009264497159. 10 tries \n",
" 0.484474 seconds (2.03 M allocations: 941.768 MiB, 19.66% gc time)\n",
"distance squared from orbit of 17 to 23 is at most 4.443423706039265e-7. 1 tries \n",
"\n",
" 0.297678 seconds (1.14 M allocations: 531.187 MiB, 20.51% gc time)\n",
"distance squared from orbit of 18 to 1 is at most 1.0000000000002496. 10 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.232095 seconds (789.98 k allocations: 367.426 MiB, 19.20% gc time)\n",
"distance squared from orbit of 18 to 2 is at most 0.5000000000000184. 10 tries \n",
" 2.137594 seconds (7.94 M allocations: 3.606 GiB, 18.99% gc time)\n",
"distance squared from orbit of 18 to 3 is at most 1.0000000000111782. 10 tries \n",
" 5.357869 seconds (20.89 M allocations: 9.485 GiB, 19.51% gc time)\n",
"distance squared from orbit of 18 to 4 is at most 0.6666671269851395. 10 tries \n",
" 3.036883 seconds (12.38 M allocations: 5.620 GiB, 19.96% gc time)\n",
"distance squared from orbit of 18 to 5 is at most 1.333333333348542. 10 tries \n",
" 2.308765 seconds (7.79 M allocations: 3.541 GiB, 19.51% gc time)\n",
"distance squared from orbit of 18 to 6 is at most 0.3333333347333823. 10 tries \n",
" 0.513720 seconds (2.09 M allocations: 970.250 MiB, 19.15% gc time)\n",
"distance squared from orbit of 18 to 7 is at most 0.5000000000001745. 10 tries \n",
" 2.124533 seconds (9.17 M allocations: 4.163 GiB, 19.90% gc time)\n",
"distance squared from orbit of 18 to 8 is at most 0.5000000000004324. 10 tries \n",
" 2.434172 seconds (10.05 M allocations: 4.566 GiB, 19.25% gc time)\n",
"distance squared from orbit of 18 to 9 is at most 1.0000000001150302. 10 tries \n",
" 5.448871 seconds (20.96 M allocations: 9.520 GiB, 19.34% gc time)\n",
"distance squared from orbit of 18 to 10 is at most 0.5001622969736932. 10 tries \n",
" 2.789199 seconds (9.71 M allocations: 4.411 GiB, 19.36% gc time)\n",
"distance squared from orbit of 18 to 11 is at most 0.9791666666867674. 10 tries \n",
" 0.405482 seconds (1.63 M allocations: 759.216 MiB, 19.66% gc time)\n",
"distance squared from orbit of 18 to 12 is at most 0.2500000000000241. 10 tries \n",
" 5.300508 seconds (21.07 M allocations: 9.570 GiB, 19.47% gc time)\n",
"distance squared from orbit of 18 to 13 is at most 0.3333509871210373. 10 tries \n",
" 5.652109 seconds (20.71 M allocations: 9.407 GiB, 19.17% gc time)\n",
"distance squared from orbit of 18 to 14 is at most 0.5000000802253725. 10 tries \n",
" 4.516392 seconds (18.91 M allocations: 8.588 GiB, 19.67% gc time)\n",
"distance squared from orbit of 18 to 15 is at most 0.6458335712327132. 10 tries \n",
" 1.864215 seconds (7.91 M allocations: 3.595 GiB, 19.81% gc time)\n",
"distance squared from orbit of 18 to 16 is at most 0.8755491045349963. 10 tries \n",
" 2.101414 seconds (9.38 M allocations: 4.259 GiB, 19.82% gc time)\n",
"distance squared from orbit of 18 to 17 is at most 0.25000000017414514. 10 tries \n",
" 0.968559 seconds (4.25 M allocations: 1.932 GiB, 19.60% gc time)\n",
"distance squared from orbit of 18 to 18 is at most 8.973537030174333e-13. 3 tries \n",
" 4.786072 seconds (18.95 M allocations: 8.606 GiB, 19.49% gc time)\n",
"distance squared from orbit of 18 to 19 is at most 0.3334857411347989. 10 tries \n",
" 5.291950 seconds (21.17 M allocations: 9.616 GiB, 19.68% gc time)\n",
"distance squared from orbit of 18 to 20 is at most 2.0986109542195287e-5. 10 tries \n",
" 0.966085 seconds (4.25 M allocations: 1.928 GiB, 20.00% gc time)\n",
"distance squared from orbit of 18 to 21 is at most 8.212685945258158e-7. 2 tries \n",
" 3.602989 seconds (15.30 M allocations: 6.947 GiB, 19.57% gc time)\n",
"distance squared from orbit of 18 to 22 is at most 0.8750990717730496. 10 tries \n",
" 5.269214 seconds (20.90 M allocations: 9.490 GiB, 19.56% gc time)\n",
"distance squared from orbit of 18 to 23 is at most 0.00013964449151193507. 10 tries \n",
"\n",
" 1.112380 seconds (4.47 M allocations: 2.030 GiB, 18.83% gc time)\n",
"distance squared from orbit of 19 to 1 is at most 1.0000000000682951. 10 tries \n",
" 1.456903 seconds (5.94 M allocations: 2.700 GiB, 20.13% gc time)\n",
"distance squared from orbit of 19 to 2 is at most 0.6666742343371506. 10 tries \n",
" 0.258791 seconds (1.06 M allocations: 494.908 MiB, 18.93% gc time)\n",
"distance squared from orbit of 19 to 3 is at most 0.8964466094068256. 10 tries \n",
" 0.278475 seconds (1.16 M allocations: 538.840 MiB, 17.77% gc time)\n",
"distance squared from orbit of 19 to 4 is at most 0.5000000000001318. 10 tries \n",
" 0.186088 seconds (759.20 k allocations: 353.111 MiB, 20.76% gc time)\n",
"distance squared from orbit of 19 to 5 is at most 1.0000000000000662. 10 tries \n",
" 1.274367 seconds (5.24 M allocations: 2.379 GiB, 19.84% gc time)\n",
"distance squared from orbit of 19 to 6 is at most 0.6666819512276697. 10 tries \n",
" 2.675627 seconds (11.08 M allocations: 5.034 GiB, 19.60% gc time)\n",
"distance squared from orbit of 19 to 7 is at most 0.6301242851061222. 10 tries \n",
" 5.016494 seconds (19.09 M allocations: 8.671 GiB, 19.42% gc time)\n",
"distance squared from orbit of 19 to 8 is at most 0.500000018047071. 10 tries \n",
" 0.261442 seconds (925.13 k allocations: 430.331 MiB, 17.52% gc time)\n",
"distance squared from orbit of 19 to 9 is at most 0.696907664524159. 10 tries \n",
" 1.328354 seconds (3.88 M allocations: 1.764 GiB, 18.26% gc time)\n",
"distance squared from orbit of 19 to 10 is at most 0.45873412263481417. 10 tries \n",
" 0.321732 seconds (1.27 M allocations: 589.105 MiB, 18.95% gc time)\n",
"distance squared from orbit of 19 to 11 is at most 0.9318502616194986. 10 tries \n",
" 1.416111 seconds (5.75 M allocations: 2.610 GiB, 19.57% gc time)\n",
"distance squared from orbit of 19 to 12 is at most 0.7500006338232088. 10 tries \n",
" 1.452370 seconds (5.95 M allocations: 2.704 GiB, 19.49% gc time)\n",
"distance squared from orbit of 19 to 13 is at most 0.1666666666690595. 10 tries \n",
" 1.714725 seconds (6.93 M allocations: 3.147 GiB, 19.40% gc time)\n",
"distance squared from orbit of 19 to 14 is at most 0.5000000001102487. 10 tries \n",
" 0.265554 seconds (965.96 k allocations: 449.307 MiB, 19.88% gc time)\n",
"distance squared from orbit of 19 to 15 is at most 0.4149972878354282. 10 tries \n",
" 1.654464 seconds (6.52 M allocations: 2.961 GiB, 19.57% gc time)\n",
"distance squared from orbit of 19 to 16 is at most 0.8672932564788058. 10 tries \n",
" 1.116707 seconds (4.06 M allocations: 1.842 GiB, 18.30% gc time)\n",
"distance squared from orbit of 19 to 17 is at most 0.5000000050835096. 10 tries \n",
" 3.605467 seconds (13.13 M allocations: 5.965 GiB, 19.34% gc time)\n",
"distance squared from orbit of 19 to 18 is at most 0.20000000063020723. 10 tries \n",
" 0.014331 seconds (74.47 k allocations: 34.644 MiB)\n",
"distance squared from orbit of 19 to 19 is at most 1.2181830144988233e-12. 1 tries \n",
" 5.187829 seconds (20.06 M allocations: 9.113 GiB, 19.45% gc time)\n",
"distance squared from orbit of 19 to 20 is at most 0.16666666712385567. 10 tries \n",
" 0.595526 seconds (2.11 M allocations: 980.325 MiB, 18.44% gc time)\n",
"distance squared from orbit of 19 to 21 is at most 3.527290939866991e-7. 1 tries \n",
" 0.308345 seconds (1.05 M allocations: 489.266 MiB, 18.40% gc time)\n",
"distance squared from orbit of 19 to 22 is at most 0.6752404735809004. 10 tries \n",
" 1.225832 seconds (4.21 M allocations: 1.913 GiB, 19.10% gc time)\n",
"distance squared from orbit of 19 to 23 is at most 7.995887543055823e-7. 2 tries \n",
"\n",
" 1.878785 seconds (6.38 M allocations: 2.900 GiB, 19.35% gc time)\n",
"distance squared from orbit of 20 to 1 is at most 1.0000000000000457. 10 tries \n",
" 2.191700 seconds (8.79 M allocations: 3.991 GiB, 19.28% gc time)\n",
"distance squared from orbit of 20 to 2 is at most 0.8333333333372386. 10 tries \n",
" 2.351480 seconds (8.85 M allocations: 4.018 GiB, 19.67% gc time)\n",
"distance squared from orbit of 20 to 3 is at most 1.000000000000541. 10 tries \n",
" 1.980098 seconds (7.57 M allocations: 3.436 GiB, 19.65% gc time)\n",
"distance squared from orbit of 20 to 4 is at most 0.8333334606733845. 10 tries \n",
" 3.568734 seconds (14.73 M allocations: 6.689 GiB, 19.48% gc time)\n",
"distance squared from orbit of 20 to 5 is at most 1.3333333333338326. 10 tries \n",
" 1.209669 seconds (4.88 M allocations: 2.215 GiB, 19.63% gc time)\n",
"distance squared from orbit of 20 to 6 is at most 0.3333333333583463. 10 tries \n",
" 1.214054 seconds (5.03 M allocations: 2.287 GiB, 20.04% gc time)\n",
"distance squared from orbit of 20 to 7 is at most 0.8945037156075005. 10 tries \n",
" 1.535890 seconds (6.43 M allocations: 2.921 GiB, 19.65% gc time)\n",
"distance squared from orbit of 20 to 8 is at most 0.5000000000000204. 10 tries \n",
" 3.420354 seconds (13.83 M allocations: 6.280 GiB, 19.70% gc time)\n",
"distance squared from orbit of 20 to 9 is at most 1.0000000003706115. 10 tries \n",
" 5.194229 seconds (20.72 M allocations: 9.409 GiB, 19.62% gc time)\n",
"distance squared from orbit of 20 to 10 is at most 0.5000003607296684. 10 tries \n",
" 2.331473 seconds (8.97 M allocations: 4.076 GiB, 19.81% gc time)\n",
"distance squared from orbit of 20 to 11 is at most 0.9791666666667449. 10 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 2.057905 seconds (8.41 M allocations: 3.821 GiB, 19.34% gc time)\n",
"distance squared from orbit of 20 to 12 is at most 0.7500000000636526. 10 tries \n",
" 0.698351 seconds (2.95 M allocations: 1.339 GiB, 19.34% gc time)\n",
"distance squared from orbit of 20 to 13 is at most 0.33333333333341597. 10 tries \n",
" 1.721890 seconds (7.24 M allocations: 3.288 GiB, 19.70% gc time)\n",
"distance squared from orbit of 20 to 14 is at most 0.6666666666666987. 10 tries \n",
" 4.925728 seconds (20.88 M allocations: 9.485 GiB, 19.56% gc time)\n",
"distance squared from orbit of 20 to 15 is at most 0.6666671685829043. 10 tries \n",
" 3.185533 seconds (12.54 M allocations: 5.694 GiB, 19.48% gc time)\n",
"distance squared from orbit of 20 to 16 is at most 0.8750047644817286. 10 tries \n",
" 3.646108 seconds (14.27 M allocations: 6.480 GiB, 19.66% gc time)\n",
"distance squared from orbit of 20 to 17 is at most 0.2500000000111853. 10 tries \n",
" 3.192266 seconds (12.99 M allocations: 5.899 GiB, 19.56% gc time)\n",
"distance squared from orbit of 20 to 18 is at most 0.6000000000083376. 10 tries \n",
" 5.089747 seconds (19.31 M allocations: 8.769 GiB, 19.38% gc time)\n",
"distance squared from orbit of 20 to 19 is at most 0.3333340274866027. 10 tries \n",
" 0.035963 seconds (103.12 k allocations: 47.961 MiB, 32.60% gc time)\n",
"distance squared from orbit of 20 to 20 is at most 2.0269398467257518e-10. 1 tries \n",
" 4.741219 seconds (18.29 M allocations: 8.306 GiB, 19.44% gc time)\n",
"distance squared from orbit of 20 to 21 is at most 0.5000002569625042. 10 tries \n",
" 3.825551 seconds (14.82 M allocations: 6.733 GiB, 19.53% gc time)\n",
"distance squared from orbit of 20 to 22 is at most 0.8750003825182692. 10 tries \n",
" 1.483463 seconds (6.28 M allocations: 2.850 GiB, 19.70% gc time)\n",
"distance squared from orbit of 20 to 23 is at most 4.602198442564904e-7. 3 tries \n",
"\n",
" 0.364606 seconds (1.53 M allocations: 710.285 MiB, 18.96% gc time)\n",
"distance squared from orbit of 21 to 1 is at most 1.0000000000000204. 10 tries \n",
" 0.234437 seconds (975.30 k allocations: 453.638 MiB, 20.85% gc time)\n",
"distance squared from orbit of 21 to 2 is at most 0.6666666666668465. 10 tries \n",
" 0.600425 seconds (2.53 M allocations: 1.149 GiB, 19.56% gc time)\n",
"distance squared from orbit of 21 to 3 is at most 1.0000000000000333. 10 tries \n",
" 0.659391 seconds (2.70 M allocations: 1.228 GiB, 19.61% gc time)\n",
"distance squared from orbit of 21 to 4 is at most 0.6666666666667002. 10 tries \n",
" 2.586221 seconds (10.60 M allocations: 4.812 GiB, 19.30% gc time)\n",
"distance squared from orbit of 21 to 5 is at most 1.3333333333333721. 10 tries \n",
" 0.894755 seconds (3.67 M allocations: 1.669 GiB, 19.91% gc time)\n",
"distance squared from orbit of 21 to 6 is at most 0.6666666666672171. 10 tries \n",
" 0.676779 seconds (2.87 M allocations: 1.302 GiB, 18.71% gc time)\n",
"distance squared from orbit of 21 to 7 is at most 0.6301239602446094. 10 tries \n",
" 1.765554 seconds (7.38 M allocations: 3.353 GiB, 19.44% gc time)\n",
"distance squared from orbit of 21 to 8 is at most 0.5000000000002081. 10 tries \n",
" 2.076058 seconds (8.41 M allocations: 3.821 GiB, 19.46% gc time)\n",
"distance squared from orbit of 21 to 9 is at most 1.0000000000042024. 10 tries \n",
" 4.342202 seconds (17.13 M allocations: 7.780 GiB, 19.38% gc time)\n",
"distance squared from orbit of 21 to 10 is at most 0.5000000378069758. 10 tries \n",
" 2.205154 seconds (9.56 M allocations: 4.343 GiB, 19.18% gc time)\n",
"distance squared from orbit of 21 to 11 is at most 0.9791669787276617. 10 tries \n",
" 0.621438 seconds (2.71 M allocations: 1.231 GiB, 19.70% gc time)\n",
"distance squared from orbit of 21 to 12 is at most 0.5000000000000119. 10 tries \n",
" 1.941039 seconds (8.15 M allocations: 3.703 GiB, 19.66% gc time)\n",
"distance squared from orbit of 21 to 13 is at most 0.4404230663443451. 10 tries \n",
" 0.248051 seconds (1.06 M allocations: 492.587 MiB, 19.32% gc time)\n",
"distance squared from orbit of 21 to 14 is at most 0.5000000000000312. 10 tries \n",
" 0.213209 seconds (906.58 k allocations: 421.680 MiB, 18.29% gc time)\n",
"distance squared from orbit of 21 to 15 is at most 0.6458333333333848. 10 tries \n",
" 1.706359 seconds (7.20 M allocations: 3.270 GiB, 19.42% gc time)\n",
"distance squared from orbit of 21 to 16 is at most 0.8750000321235882. 10 tries \n",
" 1.797101 seconds (7.58 M allocations: 3.443 GiB, 19.54% gc time)\n",
"distance squared from orbit of 21 to 17 is at most 0.5000000006485721. 10 tries \n",
" 0.192911 seconds (808.73 k allocations: 376.093 MiB, 20.07% gc time)\n",
"distance squared from orbit of 21 to 18 is at most 0.20000000000003018. 10 tries \n",
" 4.958644 seconds (21.00 M allocations: 9.536 GiB, 19.43% gc time)\n",
"distance squared from orbit of 21 to 19 is at most 0.33333336289093407. 10 tries \n",
" 5.490507 seconds (21.16 M allocations: 9.612 GiB, 19.57% gc time)\n",
"distance squared from orbit of 21 to 20 is at most 0.16666674130396128. 10 tries \n",
" 0.017160 seconds (84.52 k allocations: 39.306 MiB)\n",
"distance squared from orbit of 21 to 21 is at most 3.5262171097919527e-12. 1 tries \n",
" 1.487441 seconds (6.27 M allocations: 2.849 GiB, 19.71% gc time)\n",
"distance squared from orbit of 21 to 22 is at most 0.8750000226205474. 10 tries \n",
" 0.484351 seconds (2.09 M allocations: 972.356 MiB, 18.10% gc time)\n",
"distance squared from orbit of 21 to 23 is at most 8.01134703598284e-8. 1 tries \n",
"\n",
" 0.177377 seconds (721.25 k allocations: 335.468 MiB, 22.15% gc time)\n",
"distance squared from orbit of 22 to 1 is at most 1.0000000000000142. 10 tries \n",
" 3.320933 seconds (14.11 M allocations: 6.407 GiB, 19.43% gc time)\n",
"distance squared from orbit of 22 to 2 is at most 0.9166862508514282. 10 tries \n",
" 0.189985 seconds (782.92 k allocations: 364.105 MiB, 20.70% gc time)\n",
"distance squared from orbit of 22 to 3 is at most 0.9370994204249926. 10 tries \n",
" 0.186389 seconds (770.12 k allocations: 358.121 MiB, 20.87% gc time)\n",
"distance squared from orbit of 22 to 4 is at most 0.666666666666679. 10 tries \n",
" 0.213546 seconds (901.58 k allocations: 419.351 MiB, 18.54% gc time)\n",
"distance squared from orbit of 22 to 5 is at most 1.3333333333334034. 10 tries \n",
" 5.617040 seconds (20.88 M allocations: 9.484 GiB, 18.97% gc time)\n",
"distance squared from orbit of 22 to 6 is at most 0.6666771699452932. 10 tries \n",
" 0.726343 seconds (2.86 M allocations: 1.299 GiB, 19.93% gc time)\n",
"distance squared from orbit of 22 to 7 is at most 0.9402229344514158. 10 tries \n",
" 4.490559 seconds (17.77 M allocations: 8.069 GiB, 19.10% gc time)\n",
"distance squared from orbit of 22 to 8 is at most 0.5000000046798673. 10 tries \n",
" 0.253779 seconds (1.10 M allocations: 510.888 MiB, 19.16% gc time)\n",
"distance squared from orbit of 22 to 9 is at most 0.5000000000001208. 10 tries \n",
" 1.164599 seconds (4.69 M allocations: 2.129 GiB, 19.61% gc time)\n",
"distance squared from orbit of 22 to 10 is at most 0.37500000000008465. 10 tries \n",
" 0.438017 seconds (1.76 M allocations: 817.440 MiB, 18.79% gc time)\n",
"distance squared from orbit of 22 to 11 is at most 0.6666666666671303. 10 tries \n",
" 2.722991 seconds (9.16 M allocations: 4.161 GiB, 19.23% gc time)\n",
"distance squared from orbit of 22 to 12 is at most 0.9500060016201058. 10 tries \n",
" 5.647768 seconds (20.83 M allocations: 9.462 GiB, 19.28% gc time)\n",
"distance squared from orbit of 22 to 13 is at most 0.4406335878339775. 10 tries \n",
" 2.307605 seconds (8.88 M allocations: 4.034 GiB, 19.26% gc time)\n",
"distance squared from orbit of 22 to 14 is at most 0.6666666697080686. 10 tries \n",
" 0.815829 seconds (3.04 M allocations: 1.382 GiB, 18.85% gc time)\n",
"distance squared from orbit of 22 to 15 is at most 0.33333333333338266. 10 tries \n",
" 0.729661 seconds (2.81 M allocations: 1.275 GiB, 19.06% gc time)\n",
"distance squared from orbit of 22 to 16 is at most 0.5000000000000282. 10 tries \n",
" 4.823143 seconds (19.69 M allocations: 8.942 GiB, 19.75% gc time)\n",
"distance squared from orbit of 22 to 17 is at most 0.5000000035244149. 10 tries \n",
" 5.513758 seconds (20.46 M allocations: 9.292 GiB, 19.20% gc time)\n",
"distance squared from orbit of 22 to 18 is at most 0.6000000867284392. 10 tries \n",
" 5.132957 seconds (19.66 M allocations: 8.931 GiB, 19.33% gc time)\n",
"distance squared from orbit of 22 to 19 is at most 0.33333333348044675. 10 tries \n",
" 5.373908 seconds (20.27 M allocations: 9.207 GiB, 18.94% gc time)\n",
"distance squared from orbit of 22 to 20 is at most 0.16666667291890438. 10 tries \n",
" 1.581987 seconds (4.72 M allocations: 2.143 GiB, 17.87% gc time)\n",
"distance squared from orbit of 22 to 21 is at most 0.5000003698317023. 10 tries \n",
" 0.021679 seconds (46.58 k allocations: 21.663 MiB, 50.69% gc time)\n",
"distance squared from orbit of 22 to 22 is at most 1.8459951740334306e-13. 1 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.992592 seconds (4.23 M allocations: 1.922 GiB, 18.80% gc time)\n",
"distance squared from orbit of 22 to 23 is at most 4.383850250277859e-7. 3 tries \n",
"\n",
" 0.212077 seconds (882.35 k allocations: 410.371 MiB, 22.75% gc time)\n",
"distance squared from orbit of 23 to 1 is at most 1.000000000000007. 10 tries \n",
" 0.613270 seconds (2.66 M allocations: 1.206 GiB, 19.16% gc time)\n",
"distance squared from orbit of 23 to 2 is at most 0.9166666666666813. 10 tries \n",
" 0.325164 seconds (1.34 M allocations: 623.744 MiB, 18.79% gc time)\n",
"distance squared from orbit of 23 to 3 is at most 1.0000000000000355. 10 tries \n",
" 0.294577 seconds (1.02 M allocations: 474.281 MiB, 19.06% gc time)\n",
"distance squared from orbit of 23 to 4 is at most 0.8333333333333628. 10 tries \n",
" 0.224782 seconds (775.68 k allocations: 360.769 MiB, 20.45% gc time)\n",
"distance squared from orbit of 23 to 5 is at most 1.3333333333333757. 10 tries \n",
" 1.378025 seconds (5.15 M allocations: 2.338 GiB, 18.93% gc time)\n",
"distance squared from orbit of 23 to 6 is at most 0.666666666774871. 10 tries \n",
" 0.480597 seconds (1.89 M allocations: 877.364 MiB, 17.48% gc time)\n",
"distance squared from orbit of 23 to 7 is at most 0.9321105255405562. 10 tries \n",
" 0.490435 seconds (1.82 M allocations: 847.396 MiB, 19.65% gc time)\n",
"distance squared from orbit of 23 to 8 is at most 0.5000000000000896. 10 tries \n",
" 1.225380 seconds (4.74 M allocations: 2.153 GiB, 19.24% gc time)\n",
"distance squared from orbit of 23 to 9 is at most 1.0000000000461644. 10 tries \n",
" 0.276770 seconds (1.01 M allocations: 470.619 MiB, 19.96% gc time)\n",
"distance squared from orbit of 23 to 10 is at most 0.5000000000000316. 10 tries \n",
" 0.603796 seconds (2.25 M allocations: 1.025 GiB, 18.24% gc time)\n",
"distance squared from orbit of 23 to 11 is at most 0.9791666666707864. 10 tries \n",
" 0.615042 seconds (2.25 M allocations: 1.020 GiB, 19.82% gc time)\n",
"distance squared from orbit of 23 to 12 is at most 0.9500000000002298. 10 tries \n",
" 0.257023 seconds (949.45 k allocations: 441.647 MiB, 17.47% gc time)\n",
"distance squared from orbit of 23 to 13 is at most 0.4406335061551001. 10 tries \n",
" 0.613709 seconds (2.03 M allocations: 941.966 MiB, 19.43% gc time)\n",
"distance squared from orbit of 23 to 14 is at most 0.6666666666667078. 10 tries \n",
" 0.279332 seconds (1.00 M allocations: 466.627 MiB, 16.64% gc time)\n",
"distance squared from orbit of 23 to 15 is at most 0.6666666666668012. 10 tries \n",
" 0.320364 seconds (1.13 M allocations: 527.199 MiB, 20.87% gc time)\n",
"distance squared from orbit of 23 to 16 is at most 0.875000000000126. 10 tries \n",
" 1.440807 seconds (4.51 M allocations: 2.048 GiB, 18.45% gc time)\n",
"distance squared from orbit of 23 to 17 is at most 0.5000000000000306. 10 tries \n",
" 0.200242 seconds (835.09 k allocations: 388.399 MiB, 15.43% gc time)\n",
"distance squared from orbit of 23 to 18 is at most 0.6000000016317334. 10 tries \n",
" 0.277887 seconds (1.09 M allocations: 506.894 MiB, 22.60% gc time)\n",
"distance squared from orbit of 23 to 19 is at most 0.33333333333349163. 10 tries \n",
" 0.232407 seconds (959.51 k allocations: 446.312 MiB, 17.60% gc time)\n",
"distance squared from orbit of 23 to 20 is at most 0.1666666666666969. 10 tries \n",
" 0.258741 seconds (1.04 M allocations: 484.267 MiB, 20.08% gc time)\n",
"distance squared from orbit of 23 to 21 is at most 0.5000000000000612. 10 tries \n",
" 0.532716 seconds (2.20 M allocations: 1023.151 MiB, 19.10% gc time)\n",
"distance squared from orbit of 23 to 22 is at most 0.8750000000000243. 10 tries \n",
" 0.012437 seconds (64.47 k allocations: 29.985 MiB)\n",
"distance squared from orbit of 23 to 23 is at most 4.618772910314479e-13. 1 tries \n",
"\n",
"first run done\n",
"\n",
"second run\n",
"distance squared from orbit of 1 to 6 will be revised since for 1 3 6: 4.690370893413399e-11+0.3333333334303624<0.33333333762932654\n",
"revised distance squared from orbit of 1 to 6 is at most 0.33333333345568233. \n",
"distance squared from orbit of 1 to 7 will be revised since for 1 3 7: 4.690370893413399e-11+0.20000000000807894<0.200000000217467\n",
"revised distance squared from orbit of 1 to 7 is at most 0.20000000002258708. \n",
"distance squared from orbit of 1 to 8 will be revised since for 1 3 8: 4.690370893413399e-11+3.512082237424113e-10<9.637461752532028e-7\n",
"revised distance squared from orbit of 1 to 8 is at most 3.7977719313231946e-10. \n",
"distance squared from orbit of 1 to 9 will be revised since for 1 3 9: 4.690370893413399e-11+3.540142875819456e-8<2.9518683378598e-7\n",
"revised distance squared from orbit of 1 to 9 is at most 2.3346096191740106e-8. \n",
"distance squared from orbit of 1 to 10 will be revised since for 1 3 10: 4.690370893413399e-11+5.200381077407878e-9<1.4787401119654567e-5\n",
"revised distance squared from orbit of 1 to 10 is at most 1.3725018937086242e-8. \n",
"distance squared from orbit of 1 to 12 will be revised since for 1 7 12: 0.20000000002258708+0.25000000145100554<0.5000000000125124\n",
"revised distance squared from orbit of 1 to 12 is at most 0.5000000000125124. \n",
"distance squared from orbit of 1 to 12 will be revised since for 1 18 12: 0.2000022225239855+0.2500000000000241<0.5000000000125124\n",
"revised distance squared from orbit of 1 to 12 is at most 0.5000000000125124. \n",
"distance squared from orbit of 1 to 13 will be revised since for 1 9 13: 2.3346096191740106e-8+1.6221437404151825e-6<1.4084974200003334e-5\n",
"revised distance squared from orbit of 1 to 13 is at most 1.4084974200003334e-5. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 3 14: 4.690370893413399e-11+9.741665047919257e-6<0.0002006839868991689\n",
"revised distance squared from orbit of 1 to 14 is at most 8.470474728131084e-5. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 4 14: 2.417804599474063e-9+7.480394254751195e-9<8.470474728131084e-5\n",
"revised distance squared from orbit of 1 to 14 is at most 2.2170912401241127e-6. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 8 14: 3.7977719313231946e-10+1.0759759688677524e-7<2.2170912401241127e-6\n",
"revised distance squared from orbit of 1 to 14 is at most 2.2170912401241127e-6. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 10 14: 1.3725018937086242e-8+7.21911927373819e-8<2.2170912401241127e-6\n",
"revised distance squared from orbit of 1 to 14 is at most 2.2170912401241127e-6. \n",
"distance squared from orbit of 1 to 15 will be revised since for 1 4 15: 2.417804599474063e-9+9.746637820280875e-7<8.995628493529054e-5\n",
"revised distance squared from orbit of 1 to 15 is at most 1.1273781340556828e-6. \n",
"distance squared from orbit of 1 to 15 will be revised since for 1 9 15: 2.3346096191740106e-8+2.7516510900433383e-7<1.1273781340556828e-6\n",
"revised distance squared from orbit of 1 to 15 is at most 1.1273781340556828e-6. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 3 17: 4.690370893413399e-11+0.2557849739854668<0.4998212469641491\n",
"revised distance squared from orbit of 1 to 17 is at most 0.2530192976627038. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 9 17: 2.3346096191740106e-8+0.25159639190434085<0.2530192976627038\n",
"revised distance squared from orbit of 1 to 17 is at most 0.2530192976627038. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 13 17: 1.4084974200003334e-5+0.25012919239061054<0.2530192976627038\n",
"revised distance squared from orbit of 1 to 17 is at most 0.2529937757679715. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 20 17: 0.0006060750859037013+0.2500000000111853<0.2529937757679715\n",
"revised distance squared from orbit of 1 to 17 is at most 0.25286324516027997. \n",
"distance squared from orbit of 1 to 18 will be revised since for 1 3 18: 4.690370893413399e-11+0.20000000051971098<0.2000022225239855\n",
"revised distance squared from orbit of 1 to 18 is at most 0.20000000053479255. \n",
"distance squared from orbit of 1 to 18 will be revised since for 1 8 18: 3.7977719313231946e-10+0.20000000000025955<0.20000000053479255\n",
"revised distance squared from orbit of 1 to 18 is at most 0.20000000007973753. \n",
"distance squared from orbit of 1 to 19 will be revised since for 1 4 19: 2.417804599474063e-9+6.647613473930702e-7<0.000487451510789052\n",
"revised distance squared from orbit of 1 to 19 is at most 8.704186067339618e-6. \n",
"distance squared from orbit of 1 to 19 will be revised since for 1 10 19: 1.3725018937086242e-8+1.1911716501194083e-6<8.704186067339618e-6\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 1 to 19 is at most 8.704186067339618e-6. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 3 20: 4.690370893413399e-11+0.00013501291486533946<0.0006060750859037013\n",
"revised distance squared from orbit of 1 to 20 is at most 8.23732357805451e-5. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 9 20: 2.3346096191740106e-8+2.2014626825724582e-5<8.23732357805451e-5\n",
"revised distance squared from orbit of 1 to 20 is at most 7.651276419173611e-5. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 13 20: 1.4084974200003334e-5+2.3173178116386578e-7<7.651276419173611e-5\n",
"revised distance squared from orbit of 1 to 20 is at most 7.651276419173611e-5. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 4 21: 2.417804599474063e-9+7.862249340628232e-8<2.1416435886041514e-6\n",
"revised distance squared from orbit of 1 to 21 is at most 2.1416435886041514e-6. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 8 21: 3.7977719313231946e-10+2.104035222611083e-6<2.1416435886041514e-6\n",
"revised distance squared from orbit of 1 to 21 is at most 2.1416435886041514e-6. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 10 21: 1.3725018937086242e-8+2.7384698575935387e-8<2.1416435886041514e-6\n",
"revised distance squared from orbit of 1 to 21 is at most 2.1416435886041514e-6. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 15 21: 1.1273781340556828e-6+6.549007850755832e-7<2.1416435886041514e-6\n",
"revised distance squared from orbit of 1 to 21 is at most 2.1416435886041514e-6. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 3 23: 4.690370893413399e-11+6.806574823606655e-8<0.0004215796017670361\n",
"revised distance squared from orbit of 1 to 23 is at most 3.6249636690242754e-6. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 4 23: 2.417804599474063e-9+1.093612921713099e-6<3.6249636690242754e-6\n",
"revised distance squared from orbit of 1 to 23 is at most 1.1071559622605078e-6. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 22 23: 2.2283354733132625e-9+4.383850250277859e-7<1.1071559622605078e-6\n",
"revised distance squared from orbit of 1 to 23 is at most 1.1071559622605078e-6. \n",
"\n",
"distance squared from orbit of 2 to 7 will be revised since for 2 4 7: 0.3333333369387204+0.20000000015549102<0.5889020455456393\n",
"revised distance squared from orbit of 2 to 7 is at most 0.5889020455456393. \n",
"distance squared from orbit of 2 to 7 will be revised since for 2 8 7: 4.403293018623685e-7+0.20000000000944446<0.5889020455456393\n",
"revised distance squared from orbit of 2 to 7 is at most 0.20000009080483144. \n",
"distance squared from orbit of 2 to 7 will be revised since for 2 14 7: 4.91061571098064e-9+0.2000000000000981<0.20000009080483144\n",
"revised distance squared from orbit of 2 to 7 is at most 0.2000000000879545. \n",
"distance squared from orbit of 2 to 9 will be revised since for 2 1 9: 0.5000000000002985+2.3346096191740106e-8<0.5419582998295409\n",
"revised distance squared from orbit of 2 to 9 is at most 0.5419582998295409. \n",
"distance squared from orbit of 2 to 9 will be revised since for 2 3 9: 0.5000000000264259+3.540142875819456e-8<0.5419582998295409\n",
"revised distance squared from orbit of 2 to 9 is at most 0.5419582998295409. \n",
"distance squared from orbit of 2 to 13 will be revised since for 2 6 13: 1.1712309280769558e-7+8.346726741476915e-5<0.0001971287729131748\n",
"revised distance squared from orbit of 2 to 13 is at most 6.593021357631542e-5. \n",
"distance squared from orbit of 2 to 13 will be revised since for 2 8 13: 4.403293018623685e-7+5.615286448731454e-5<6.593021357631542e-5\n",
"revised distance squared from orbit of 2 to 13 is at most 4.277864328332686e-5. \n",
"distance squared from orbit of 2 to 19 will be revised since for 2 6 19: 1.1712309280769558e-7+9.002154476570412e-8<0.00022202008961776497\n",
"revised distance squared from orbit of 2 to 19 is at most 1.4965608273233856e-6. \n",
"distance squared from orbit of 2 to 20 will be revised since for 2 8 20: 4.403293018623685e-7+0.00021045762696099627<0.0002485143963994851\n",
"revised distance squared from orbit of 2 to 20 is at most 0.00015731360177627949. \n",
"distance squared from orbit of 2 to 20 will be revised since for 2 13 20: 4.277864328332686e-5+2.3173178116386578e-7<0.00015731360177627949\n",
"revised distance squared from orbit of 2 to 20 is at most 0.00015731360177627949. \n",
"distance squared from orbit of 2 to 20 will be revised since for 2 18 20: 7.872143435608598e-7+2.0986109542195287e-5<0.00015731360177627949\n",
"revised distance squared from orbit of 2 to 20 is at most 1.6526810070182195e-5. \n",
"distance squared from orbit of 2 to 21 will be revised since for 2 14 21: 4.91061571098064e-9+4.320819279485753e-8<7.199030463236371e-7\n",
"revised distance squared from orbit of 2 to 21 is at most 7.199030463236371e-7. \n",
"distance squared from orbit of 2 to 22 will be revised since for 2 1 22: 0.5000000000002985+2.2283354733132625e-9<0.5000000028194479\n",
"revised distance squared from orbit of 2 to 22 is at most 0.5000000028194479. \n",
"distance squared from orbit of 2 to 22 will be revised since for 2 4 22: 0.3333333369387204+0.00011750332816364824<0.5000000028194479\n",
"revised distance squared from orbit of 2 to 22 is at most 0.5000000028194479. \n",
"distance squared from orbit of 2 to 22 will be revised since for 2 10 22: 0.33333333522365344+3.461059854922562e-5<0.5000000028194479\n",
"revised distance squared from orbit of 2 to 22 is at most 0.5000000028194479. \n",
"distance squared from orbit of 2 to 22 will be revised since for 2 15 22: 0.3260768770997252+3.724431103776777e-8<0.5000000028194479\n",
"revised distance squared from orbit of 2 to 22 is at most 0.5000000028194479. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 6 23: 1.1712309280769558e-7+5.966707200622681e-7<0.00011437630112138158\n",
"revised distance squared from orbit of 2 to 23 is at most 1.26568655463176e-5. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 14 23: 4.91061571098064e-9+5.597286291004132e-7<1.26568655463176e-5\n",
"revised distance squared from orbit of 2 to 23 is at most 1.26568655463176e-5. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 19 23: 1.4965608273233856e-6+7.995887543055823e-7<1.26568655463176e-5\n",
"revised distance squared from orbit of 2 to 23 is at most 1.26568655463176e-5. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 21 23: 7.199030463236371e-7+8.01134703598284e-8<1.26568655463176e-5\n",
"revised distance squared from orbit of 2 to 23 is at most 2.4580302794388205e-6. \n",
"\n",
"distance squared from orbit of 3 to 2 will be revised since for 3 8 2: 3.512082237424113e-10+0.33333333333340853<0.5833333333333873\n",
"revised distance squared from orbit of 3 to 2 is at most 0.3333333337021806. \n",
"distance squared from orbit of 3 to 12 will be revised since for 3 7 12: 0.20000000000807894+0.25000000145100554<0.5000000000001374\n",
"revised distance squared from orbit of 3 to 12 is at most 0.5000000000001374. \n",
"distance squared from orbit of 3 to 12 will be revised since for 3 18 12: 0.20000000051971098+0.2500000000000241<0.5000000000001374\n",
"revised distance squared from orbit of 3 to 12 is at most 0.5000000000001374. \n",
"distance squared from orbit of 3 to 13 will be revised since for 3 9 13: 3.540142875819456e-8+1.6221437404151825e-6<1.5393051702464955e-5\n",
"revised distance squared from orbit of 3 to 13 is at most 4.369592260257876e-6. \n",
"distance squared from orbit of 3 to 14 will be revised since for 3 8 14: 3.512082237424113e-10+1.0759759688677524e-7<9.741665047919257e-6\n",
"revised distance squared from orbit of 3 to 14 is at most 1.0973405704351779e-7. \n",
"distance squared from orbit of 3 to 14 will be revised since for 3 10 14: 5.200381077407878e-9+7.21911927373819e-8<1.0973405704351779e-7\n",
"revised distance squared from orbit of 3 to 14 is at most 1.0973405704351779e-7. \n",
"distance squared from orbit of 3 to 15 will be revised since for 3 9 15: 3.540142875819456e-8+2.7516510900433383e-7<0.0003394721789445783\n",
"revised distance squared from orbit of 3 to 15 is at most 4.552182558127568e-7. \n",
"distance squared from orbit of 3 to 17 will be revised since for 3 8 17: 3.512082237424113e-10+0.2547617221253965<0.2557849739854668\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 3 to 17 is at most 0.250829212798954. \n",
"distance squared from orbit of 3 to 17 will be revised since for 3 13 17: 4.369592260257876e-6+0.25012919239061054<0.250829212798954\n",
"revised distance squared from orbit of 3 to 17 is at most 0.250829212798954. \n",
"distance squared from orbit of 3 to 17 will be revised since for 3 20 17: 0.00013501291486533946+0.2500000000111853<0.250829212798954\n",
"revised distance squared from orbit of 3 to 17 is at most 0.250829212798954. \n",
"distance squared from orbit of 3 to 18 will be revised since for 3 8 18: 3.512082237424113e-10+0.20000000000025955<0.20000000051971098\n",
"revised distance squared from orbit of 3 to 18 is at most 0.20000000007983487. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 9 19: 3.540142875819456e-8+0.0006769061504315461<0.0008553584625885956\n",
"revised distance squared from orbit of 3 to 19 is at most 0.0006684320681996045. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 10 19: 5.200381077407878e-9+1.1911716501194083e-6<0.0006684320681996045\n",
"revised distance squared from orbit of 3 to 19 is at most 1.3146403873106354e-5. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 13 19: 4.369592260257876e-6+9.413790254886094e-7<1.3146403873106354e-5\n",
"revised distance squared from orbit of 3 to 19 is at most 1.3146403873106354e-5. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 15 19: 4.552182558127568e-7+9.076673087669767e-6<1.3146403873106354e-5\n",
"revised distance squared from orbit of 3 to 19 is at most 1.3146403873106354e-5. \n",
"distance squared from orbit of 3 to 20 will be revised since for 3 9 20: 3.540142875819456e-8+2.2014626825724582e-5<0.00013501291486533946\n",
"revised distance squared from orbit of 3 to 20 is at most 3.8410401003639115e-5. \n",
"distance squared from orbit of 3 to 20 will be revised since for 3 13 20: 4.369592260257876e-6+2.3173178116386578e-7<3.8410401003639115e-5\n",
"revised distance squared from orbit of 3 to 20 is at most 3.8410401003639115e-5. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 8 21: 3.512082237424113e-10+2.104035222611083e-6<1.3369413912519052e-5\n",
"revised distance squared from orbit of 3 to 21 is at most 2.101781147737596e-6. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 10 21: 5.200381077407878e-9+2.7384698575935387e-8<2.101781147737596e-6\n",
"revised distance squared from orbit of 3 to 21 is at most 2.101781147737596e-6. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 14 21: 1.0973405704351779e-7+4.320819279485753e-8<2.101781147737596e-6\n",
"revised distance squared from orbit of 3 to 21 is at most 2.101781147737596e-6. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 15 21: 4.552182558127568e-7+6.549007850755832e-7<2.101781147737596e-6\n",
"revised distance squared from orbit of 3 to 21 is at most 2.101781147737596e-6. \n",
"distance squared from orbit of 3 to 22 will be revised since for 3 9 22: 3.540142875819456e-8+4.8528821558873626e-8<6.630372161885599e-7\n",
"revised distance squared from orbit of 3 to 22 is at most 5.003340685607144e-8. \n",
"\n",
"distance squared from orbit of 4 to 2 will be revised since for 4 3 2: 0.5000000006319384+0.3333333337021806<1.000000000000143\n",
"revised distance squared from orbit of 4 to 2 is at most 0.8334618720594376. \n",
"distance squared from orbit of 4 to 2 will be revised since for 4 7 2: 0.20000000015549102+0.5000000011356924<0.8334618720594376\n",
"revised distance squared from orbit of 4 to 2 is at most 0.8333394932287641. \n",
"distance squared from orbit of 4 to 2 will be revised since for 4 8 2: 0.5000000086868255+0.33333333333340853<0.8333394932287641\n",
"revised distance squared from orbit of 4 to 2 is at most 0.8333394932287641. \n",
"distance squared from orbit of 4 to 2 will be revised since for 4 10 2: 8.874732477996175e-7+0.7333341296919881<0.8333394932287641\n",
"revised distance squared from orbit of 4 to 2 is at most 0.7333335544479099. \n",
"distance squared from orbit of 4 to 2 will be revised since for 4 14 2: 7.480394254751195e-9+0.6666666743803712<0.7333335544479099\n",
"revised distance squared from orbit of 4 to 2 is at most 0.6666668801141548. \n",
"distance squared from orbit of 4 to 2 will be revised since for 4 21 2: 7.862249340628232e-8+0.6666666666668465<0.6666668801141548\n",
"revised distance squared from orbit of 4 to 2 is at most 0.6666666746684983. \n",
"distance squared from orbit of 4 to 6 will be revised since for 4 7 6: 0.20000000015549102+0.3333334656011004<0.6273220062527215\n",
"revised distance squared from orbit of 4 to 6 is at most 0.6273220062527215. \n",
"distance squared from orbit of 4 to 6 will be revised since for 4 13 6: 0.16666691556824464+0.3334250465377652<0.6273220062527215\n",
"revised distance squared from orbit of 4 to 6 is at most 0.6273220062527215. \n",
"distance squared from orbit of 4 to 6 will be revised since for 4 18 6: 0.2000000016579928+0.3333333347333823<0.6273220062527215\n",
"revised distance squared from orbit of 4 to 6 is at most 0.6273220062527215. \n",
"distance squared from orbit of 4 to 6 will be revised since for 4 20 6: 0.1666670403088053+0.3333333333583463<0.6273220062527215\n",
"revised distance squared from orbit of 4 to 6 is at most 0.6273220062527215. \n",
"distance squared from orbit of 4 to 8 will be revised since for 4 3 8: 0.5000000006319384+3.512082237424113e-10<0.5000000086868255\n",
"revised distance squared from orbit of 4 to 8 is at most 0.5000000086868255. \n",
"distance squared from orbit of 4 to 8 will be revised since for 4 14 8: 7.480394254751195e-9+0.5000000000444984<0.5000000086868255\n",
"revised distance squared from orbit of 4 to 8 is at most 0.5000000013227978. \n",
"distance squared from orbit of 4 to 9 will be revised since for 4 3 9: 0.5000000006319384+3.540142875819456e-8<0.5001088176366681\n",
"revised distance squared from orbit of 4 to 9 is at most 0.5001088176366681. \n",
"distance squared from orbit of 4 to 9 will be revised since for 4 10 9: 8.874732477996175e-7+0.5000171371378833<0.5001088176366681\n",
"revised distance squared from orbit of 4 to 9 is at most 0.5001088176366681. \n",
"distance squared from orbit of 4 to 9 will be revised since for 4 15 9: 9.746637820280875e-7+0.5000001154597059<0.5001088176366681\n",
"revised distance squared from orbit of 4 to 9 is at most 0.5001088176366681. \n",
"distance squared from orbit of 4 to 11 will be revised since for 4 10 11: 8.874732477996175e-7+0.6666666695970845<0.6668422255187376\n",
"revised distance squared from orbit of 4 to 11 is at most 0.6667130018751901. \n",
"distance squared from orbit of 4 to 11 will be revised since for 4 15 11: 9.746637820280875e-7+0.6666667051262726<0.6667130018751901\n",
"revised distance squared from orbit of 4 to 11 is at most 0.6667130018751901. \n",
"distance squared from orbit of 4 to 12 will be revised since for 4 7 12: 0.20000000015549102+0.25000000145100554<0.5000000002947357\n",
"revised distance squared from orbit of 4 to 12 is at most 0.5000000002947357. \n",
"distance squared from orbit of 4 to 12 will be revised since for 4 18 12: 0.2000000016579928+0.2500000000000241<0.5000000002947357\n",
"revised distance squared from orbit of 4 to 12 is at most 0.5000000002947357. \n",
"distance squared from orbit of 4 to 16 will be revised since for 4 10 16: 8.874732477996175e-7+0.5000004453613963<0.5001281732449445\n",
"revised distance squared from orbit of 4 to 16 is at most 0.5000797668215231. \n",
"distance squared from orbit of 4 to 16 will be revised since for 4 15 16: 9.746637820280875e-7+0.5000000076121053<0.5000797668215231\n",
"revised distance squared from orbit of 4 to 16 is at most 0.5000101343540748. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 7 17: 0.20000000015549102+0.25000046906255247<0.5000003886968399\n",
"revised distance squared from orbit of 4 to 17 is at most 0.5000003886968399. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 12 17: 0.5000000002947357+6.84717979129814e-11<0.5000003886968399\n",
"revised distance squared from orbit of 4 to 17 is at most 0.5000000002429835. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 13 17: 0.16666691556824464+0.25012919239061054<0.5000000002429835\n",
"revised distance squared from orbit of 4 to 17 is at most 0.5000000002429835. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 18 17: 0.2000000016579928+0.25000000017414514<0.5000000002429835\n",
"revised distance squared from orbit of 4 to 17 is at most 0.5000000002429835. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 20 17: 0.1666670403088053+0.2500000000111853<0.5000000002429835\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 4 to 17 is at most 0.5000000002429835. \n",
"distance squared from orbit of 4 to 20 will be revised since for 4 21 20: 7.862249340628232e-8+0.16666674130396128<0.1666670403088053\n",
"revised distance squared from orbit of 4 to 20 is at most 0.16666672867437932. \n",
"distance squared from orbit of 4 to 21 will be revised since for 4 14 21: 7.480394254751195e-9+4.320819279485753e-8<7.862249340628232e-8\n",
"revised distance squared from orbit of 4 to 21 is at most 2.5702176668773888e-8. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 10 22: 8.874732477996175e-7+3.461059854922562e-5<0.00011750332816364824\n",
"revised distance squared from orbit of 4 to 22 is at most 0.00011750332816364824. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 15 22: 9.746637820280875e-7+3.724431103776777e-8<0.00011750332816364824\n",
"revised distance squared from orbit of 4 to 22 is at most 0.00011750332816364824. \n",
"distance squared from orbit of 4 to 23 will be revised since for 4 14 23: 7.480394254751195e-9+5.597286291004132e-7<1.093612921713099e-6\n",
"revised distance squared from orbit of 4 to 23 is at most 8.465816992659068e-7. \n",
"distance squared from orbit of 4 to 23 will be revised since for 4 21 23: 2.5702176668773888e-8+8.01134703598284e-8<8.465816992659068e-7\n",
"revised distance squared from orbit of 4 to 23 is at most 1.9850857119940633e-7. \n",
"\n",
"distance squared from orbit of 5 to 1 will be revised since for 5 11 1: 7.225707873384549e-6+0.9770018541118775<0.9770146437555324\n",
"revised distance squared from orbit of 5 to 1 is at most 0.9770023959943734. \n",
"distance squared from orbit of 5 to 2 will be revised since for 5 7 2: 0.20000000006284951+0.5000000011356924<0.7333333344521247\n",
"revised distance squared from orbit of 5 to 2 is at most 0.7333333344521247. \n",
"distance squared from orbit of 5 to 2 will be revised since for 5 11 2: 7.225707873384549e-6+0.6666666666667985<0.7333333344521247\n",
"revised distance squared from orbit of 5 to 2 is at most 0.6666680990783596. \n",
"distance squared from orbit of 5 to 2 will be revised since for 5 14 2: 8.124410473104478e-10+0.6666666743803712<0.6666680990783596\n",
"revised distance squared from orbit of 5 to 2 is at most 0.666666807883171. \n",
"distance squared from orbit of 5 to 6 will be revised since for 5 7 6: 0.20000000006284951+0.3333334656011004<0.616386948513329\n",
"revised distance squared from orbit of 5 to 6 is at most 0.616386948513329. \n",
"distance squared from orbit of 5 to 6 will be revised since for 5 11 6: 7.225707873384549e-6+0.5993389780077931<0.616386948513329\n",
"revised distance squared from orbit of 5 to 6 is at most 0.5993397040800931. \n",
"distance squared from orbit of 5 to 6 will be revised since for 5 13 6: 0.16682682345060387+0.3334250465377652<0.5993397040800931\n",
"revised distance squared from orbit of 5 to 6 is at most 0.5993397040800931. \n",
"distance squared from orbit of 5 to 6 will be revised since for 5 18 6: 0.20000111221354214+0.3333333347333823<0.5993397040800931\n",
"revised distance squared from orbit of 5 to 6 is at most 0.5993397040800931. \n",
"distance squared from orbit of 5 to 6 will be revised since for 5 20 6: 0.16700419890967513+0.3333333333583463<0.5993397040800931\n",
"revised distance squared from orbit of 5 to 6 is at most 0.5993397040800931. \n",
"distance squared from orbit of 5 to 12 will be revised since for 5 7 12: 0.20000000006284951+0.25000000145100554<0.5000027884106348\n",
"revised distance squared from orbit of 5 to 12 is at most 0.5000000035335257. \n",
"distance squared from orbit of 5 to 12 will be revised since for 5 14 12: 8.124410473104478e-10+0.5000000004384669<0.5000000035335257\n",
"revised distance squared from orbit of 5 to 12 is at most 0.5000000023800676. \n",
"distance squared from orbit of 5 to 12 will be revised since for 5 18 12: 0.20000111221354214+0.2500000000000241<0.5000000023800676\n",
"revised distance squared from orbit of 5 to 12 is at most 0.5000000023800676. \n",
"distance squared from orbit of 5 to 13 will be revised since for 5 11 13: 7.225707873384549e-6+0.16666666751136447<0.16682682345060387\n",
"revised distance squared from orbit of 5 to 13 is at most 0.1666710346927715. \n",
"distance squared from orbit of 5 to 15 will be revised since for 5 14 15: 8.124410473104478e-10+0.3260768737169596<0.32607688430872245\n",
"revised distance squared from orbit of 5 to 15 is at most 0.32607687380624495. \n",
"distance squared from orbit of 5 to 17 will be revised since for 5 7 17: 0.20000000006284951+0.25000046906255247<0.5000000000057041\n",
"revised distance squared from orbit of 5 to 17 is at most 0.5000000000057041. \n",
"distance squared from orbit of 5 to 17 will be revised since for 5 13 17: 0.1666710346927715+0.25012919239061054<0.5000000000057041\n",
"revised distance squared from orbit of 5 to 17 is at most 0.5000000000057041. \n",
"distance squared from orbit of 5 to 17 will be revised since for 5 18 17: 0.20000111221354214+0.25000000017414514<0.5000000000057041\n",
"revised distance squared from orbit of 5 to 17 is at most 0.5000000000057041. \n",
"distance squared from orbit of 5 to 17 will be revised since for 5 20 17: 0.16700419890967513+0.2500000000111853<0.5000000000057041\n",
"revised distance squared from orbit of 5 to 17 is at most 0.5000000000057041. \n",
"distance squared from orbit of 5 to 18 will be revised since for 5 7 18: 0.20000000006284951+2.3733382077127282e-9<0.20000111221354214\n",
"revised distance squared from orbit of 5 to 18 is at most 0.2000000028728502. \n",
"distance squared from orbit of 5 to 18 will be revised since for 5 14 18: 8.124410473104478e-10+0.20000000003896987<0.2000000028728502\n",
"revised distance squared from orbit of 5 to 18 is at most 0.2000000028728502. \n",
"distance squared from orbit of 5 to 19 will be revised since for 5 11 19: 7.225707873384549e-6+2.235975073395793e-8<0.00010685462246983684\n",
"revised distance squared from orbit of 5 to 19 is at most 1.801306029310787e-6. \n",
"distance squared from orbit of 5 to 20 will be revised since for 5 11 20: 7.225707873384549e-6+0.1666694267881068<0.16700419890967513\n",
"revised distance squared from orbit of 5 to 20 is at most 0.16666942569601825. \n",
"distance squared from orbit of 5 to 20 will be revised since for 5 14 20: 8.124410473104478e-10+0.1666679861468978<0.16666942569601825\n",
"revised distance squared from orbit of 5 to 20 is at most 0.16666787245463696. \n",
"distance squared from orbit of 5 to 20 will be revised since for 5 21 20: 6.063847859563902e-7+0.16666674130396128<0.16666787245463696\n",
"revised distance squared from orbit of 5 to 20 is at most 0.16666710624947956. \n",
"distance squared from orbit of 5 to 21 will be revised since for 5 14 21: 8.124410473104478e-10+4.320819279485753e-8<6.063847859563902e-7\n",
"revised distance squared from orbit of 5 to 21 is at most 6.68250588192159e-8. \n",
"distance squared from orbit of 5 to 22 will be revised since for 5 4 22: 0.3333333337026528+0.00011750332816364824<0.4328163439834386\n",
"revised distance squared from orbit of 5 to 22 is at most 0.4328163439834386. \n",
"distance squared from orbit of 5 to 22 will be revised since for 5 10 22: 0.3333333335938715+3.461059854922562e-5<0.4328163439834386\n",
"revised distance squared from orbit of 5 to 22 is at most 0.4328163439834386. \n",
"distance squared from orbit of 5 to 22 will be revised since for 5 11 22: 7.225707873384549e-6+0.4328053960685582<0.4328163439834386\n",
"revised distance squared from orbit of 5 to 22 is at most 0.4328060376071754. \n",
"distance squared from orbit of 5 to 22 will be revised since for 5 15 22: 0.32607687380624495+3.724431103776777e-8<0.4328060376071754\n",
"revised distance squared from orbit of 5 to 22 is at most 0.4328060376071754. \n",
"distance squared from orbit of 5 to 22 will be revised since for 5 16 22: 0.25000005755547305+9.576673164440107e-8<0.4328060376071754\n",
"revised distance squared from orbit of 5 to 22 is at most 0.4328060376071754. \n",
"distance squared from orbit of 5 to 23 will be revised since for 5 11 23: 7.225707873384549e-6+1.32268314506516e-6<0.0005434283932713884\n",
"revised distance squared from orbit of 5 to 23 is at most 4.042911198374179e-5. \n",
"distance squared from orbit of 5 to 23 will be revised since for 5 14 23: 8.124410473104478e-10+5.597286291004132e-7<4.042911198374179e-5\n",
"revised distance squared from orbit of 5 to 23 is at most 2.284551496473722e-5. \n",
"distance squared from orbit of 5 to 23 will be revised since for 5 19 23: 1.801306029310787e-6+7.995887543055823e-7<2.284551496473722e-5\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 5 to 23 is at most 2.284551496473722e-5. \n",
"distance squared from orbit of 5 to 23 will be revised since for 5 21 23: 6.68250588192159e-8+8.01134703598284e-8<2.284551496473722e-5\n",
"revised distance squared from orbit of 5 to 23 is at most 3.6250002589513987e-6. \n",
"\n",
"distance squared from orbit of 6 to 1 will be revised since for 6 8 1: 0.25000000000065914+0.5000000000000103<0.8964466094260284\n",
"revised distance squared from orbit of 6 to 1 is at most 0.8964466094260284. \n",
"distance squared from orbit of 6 to 7 will be revised since for 6 8 7: 0.25000000000065914+0.20000000000944446<0.5889020455429128\n",
"revised distance squared from orbit of 6 to 7 is at most 0.5889020455429128. \n",
"distance squared from orbit of 6 to 9 will be revised since for 6 3 9: 0.6473671297286967+3.540142875819456e-8<0.6594466049442754\n",
"revised distance squared from orbit of 6 to 9 is at most 0.6594466049442754. \n",
"distance squared from orbit of 6 to 14 will be revised since for 6 8 14: 0.25000000000065914+1.0759759688677524e-7<0.4262869158922584\n",
"revised distance squared from orbit of 6 to 14 is at most 0.4262869158922584. \n",
"distance squared from orbit of 6 to 18 will be revised since for 6 19 18: 9.002154476570412e-8+0.20000000063020723<0.20000017040567625\n",
"revised distance squared from orbit of 6 to 18 is at most 0.20000002834654027. \n",
"distance squared from orbit of 6 to 20 will be revised since for 6 13 20: 8.346726741476915e-5+2.3173178116386578e-7<0.0002485215197930173\n",
"revised distance squared from orbit of 6 to 20 is at most 0.0002485215197930173. \n",
"distance squared from orbit of 6 to 21 will be revised since for 6 19 21: 9.002154476570412e-8+3.527290939866991e-7<5.5601720989234835e-6\n",
"revised distance squared from orbit of 6 to 21 is at most 3.0796519508902654e-6. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 3 22: 0.6473671297286967+5.003340685607144e-8<0.675240476791285\n",
"revised distance squared from orbit of 6 to 22 is at most 0.675240476791285. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 4 22: 0.5000000079279346+0.00011750332816364824<0.675240476791285\n",
"revised distance squared from orbit of 6 to 22 is at most 0.675240476791285. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 9 22: 0.6594466049442754+4.8528821558873626e-8<0.675240476791285\n",
"revised distance squared from orbit of 6 to 22 is at most 0.675240476791285. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 10 22: 0.45873413544184183+3.461059854922562e-5<0.675240476791285\n",
"revised distance squared from orbit of 6 to 22 is at most 0.675240476791285. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 15 22: 0.414997291565078+3.724431103776777e-8<0.675240476791285\n",
"revised distance squared from orbit of 6 to 22 is at most 0.675240476791285. \n",
"\n",
"distance squared from orbit of 7 to 6 will be revised since for 7 18 6: 2.3733382077127282e-9+0.3333333347333823<0.3333334656011004\n",
"revised distance squared from orbit of 7 to 6 is at most 0.3333334656011004. \n",
"distance squared from orbit of 7 to 9 will be revised since for 7 3 9: 0.5000000000070979+3.540142875819456e-8<0.5535514783851555\n",
"revised distance squared from orbit of 7 to 9 is at most 0.5535514783851555. \n",
"distance squared from orbit of 7 to 17 will be revised since for 7 12 17: 0.25000000145100554+6.84717979129814e-11<0.25000046906255247\n",
"revised distance squared from orbit of 7 to 17 is at most 0.2500001236211174. \n",
"distance squared from orbit of 7 to 17 will be revised since for 7 18 17: 2.3733382077127282e-9+0.25000000017414514<0.2500001236211174\n",
"revised distance squared from orbit of 7 to 17 is at most 0.2500001236211174. \n",
"distance squared from orbit of 7 to 19 will be revised since for 7 13 19: 0.00010906834857585077+9.413790254886094e-7<0.0017968413500270093\n",
"revised distance squared from orbit of 7 to 19 is at most 0.0005562063880766925. \n",
"distance squared from orbit of 7 to 19 will be revised since for 7 14 19: 6.866188359096149e-7+2.277784285424035e-5<0.0005562063880766925\n",
"revised distance squared from orbit of 7 to 19 is at most 0.0005562063880766925. \n",
"distance squared from orbit of 7 to 20 will be revised since for 7 18 20: 2.3733382077127282e-9+2.0986109542195287e-5<5.332060397263414e-5\n",
"revised distance squared from orbit of 7 to 20 is at most 1.4345754900521579e-5. \n",
"distance squared from orbit of 7 to 22 will be revised since for 7 3 22: 0.5000000000070979+5.003340685607144e-8<0.5000001754079236\n",
"revised distance squared from orbit of 7 to 22 is at most 0.5000001754079236. \n",
"distance squared from orbit of 7 to 22 will be revised since for 7 4 22: 0.33333362552807405+0.00011750332816364824<0.5000001754079236\n",
"revised distance squared from orbit of 7 to 22 is at most 0.5000001754079236. \n",
"distance squared from orbit of 7 to 22 will be revised since for 7 10 22: 0.33333336593049273+3.461059854922562e-5<0.5000001754079236\n",
"revised distance squared from orbit of 7 to 22 is at most 0.5000001754079236. \n",
"distance squared from orbit of 7 to 22 will be revised since for 7 15 22: 0.3260770184658947+3.724431103776777e-8<0.5000001754079236\n",
"revised distance squared from orbit of 7 to 22 is at most 0.5000001754079236. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 13 23: 0.00010906834857585077+2.1351873521118264e-8<0.00017869332500034964\n",
"revised distance squared from orbit of 7 to 23 is at most 0.00017869332500034964. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 14 23: 6.866188359096149e-7+5.597286291004132e-7<0.00017869332500034964\n",
"revised distance squared from orbit of 7 to 23 is at most 0.00017869332500034964. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 18 23: 2.3733382077127282e-9+0.00013964449151193507<0.00017869332500034964\n",
"revised distance squared from orbit of 7 to 23 is at most 0.00012239333639787689. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 20 23: 1.4345754900521579e-5+4.602198442564904e-7<0.00012239333639787689\n",
"revised distance squared from orbit of 7 to 23 is at most 4.365277232555389e-5. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 21 23: 3.4356496764845524e-7+8.01134703598284e-8<4.365277232555389e-5\n",
"revised distance squared from orbit of 7 to 23 is at most 1.3373509479241153e-5. \n",
"\n",
"distance squared from orbit of 8 to 9 will be revised since for 8 1 9: 0.5000000000000103+2.3346096191740106e-8<0.5629971770848345\n",
"revised distance squared from orbit of 8 to 9 is at most 0.5629971770848345. \n",
"distance squared from orbit of 8 to 9 will be revised since for 8 3 9: 0.5000000000000816+3.540142875819456e-8<0.5629971770848345\n",
"revised distance squared from orbit of 8 to 9 is at most 0.5629971770848345. \n",
"distance squared from orbit of 8 to 12 will be revised since for 8 7 12: 0.20000000000944446+0.25000000145100554<0.5000000000051011\n",
"revised distance squared from orbit of 8 to 12 is at most 0.5000000000051011. \n",
"distance squared from orbit of 8 to 12 will be revised since for 8 18 12: 0.20000000000025955+0.2500000000000241<0.5000000000051011\n",
"revised distance squared from orbit of 8 to 12 is at most 0.5000000000051011. \n",
"distance squared from orbit of 8 to 17 will be revised since for 8 13 17: 5.615286448731454e-5+0.25012919239061054<0.2547617221253965\n",
"revised distance squared from orbit of 8 to 17 is at most 0.25043120207262737. \n",
"distance squared from orbit of 8 to 17 will be revised since for 8 20 17: 0.00021045762696099627+0.2500000000111853<0.25043120207262737\n",
"revised distance squared from orbit of 8 to 17 is at most 0.25043120207262737. \n",
"distance squared from orbit of 8 to 19 will be revised since for 8 13 19: 5.615286448731454e-5+9.413790254886094e-7<0.0015093225396690774\n",
"revised distance squared from orbit of 8 to 19 is at most 0.000400850001312636. \n",
"distance squared from orbit of 8 to 19 will be revised since for 8 14 19: 1.0759759688677524e-7+2.277784285424035e-5<0.000400850001312636\n",
"revised distance squared from orbit of 8 to 19 is at most 0.0002632199234028688. \n",
"distance squared from orbit of 8 to 20 will be revised since for 8 13 20: 5.615286448731454e-5+2.3173178116386578e-7<0.00021045762696099627\n",
"revised distance squared from orbit of 8 to 20 is at most 0.00021045762696099627. \n",
"distance squared from orbit of 8 to 21 will be revised since for 8 14 21: 1.0759759688677524e-7+4.320819279485753e-8<2.104035222611083e-6\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 8 to 21 is at most 1.1067870978388369e-7. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 1 22: 0.5000000000000103+2.2283354733132625e-9<0.5000000070290742\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000050783309. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 4 22: 0.33333333711365387+0.00011750332816364824<0.5000000050783309\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000050783309. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 10 22: 0.3333333505519895+3.461059854922562e-5<0.5000000050783309\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000050783309. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 15 22: 0.3260768804057029+3.724431103776777e-8<0.5000000050783309\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000050783309. \n",
"distance squared from orbit of 8 to 23 will be revised since for 8 14 23: 1.0759759688677524e-7+5.597286291004132e-7<1.3422172205946463e-5\n",
"revised distance squared from orbit of 8 to 23 is at most 1.3422172205946463e-5. \n",
"distance squared from orbit of 8 to 23 will be revised since for 8 21 23: 1.1067870978388369e-7+8.01134703598284e-8<1.3422172205946463e-5\n",
"revised distance squared from orbit of 8 to 23 is at most 7.7611642743229e-6. \n",
"\n",
"distance squared from orbit of 9 to 1 will be revised since for 9 8 1: 0.4475317424834284+0.5000000000000103<1.0000000000000866\n",
"revised distance squared from orbit of 9 to 1 is at most 1.0000000000000866. \n",
"distance squared from orbit of 9 to 2 will be revised since for 9 8 2: 0.4475317424834284+0.33333333333340853<0.8340970907381584\n",
"revised distance squared from orbit of 9 to 2 is at most 0.8340970907381584. \n",
"distance squared from orbit of 9 to 2 will be revised since for 9 13 2: 1.6221437404151825e-6+0.6666668118827497<0.8340970907381584\n",
"revised distance squared from orbit of 9 to 2 is at most 0.6671170895764302. \n",
"distance squared from orbit of 9 to 2 will be revised since for 9 21 2: 0.0001845990348058072+0.6666666666668465<0.6671170895764302\n",
"revised distance squared from orbit of 9 to 2 is at most 0.6667037927720919. \n",
"distance squared from orbit of 9 to 6 will be revised since for 9 13 6: 1.6221437404151825e-6+0.3334250465377652<0.538367639656281\n",
"revised distance squared from orbit of 9 to 6 is at most 0.3338121569142822. \n",
"distance squared from orbit of 9 to 6 will be revised since for 9 20 6: 2.2014626825724582e-5+0.3333333333583463<0.3338121569142822\n",
"revised distance squared from orbit of 9 to 6 is at most 0.3333972179959877. \n",
"distance squared from orbit of 9 to 7 will be revised since for 9 4 7: 0.3333333353649726+0.20000000015549102<0.621419441119882\n",
"revised distance squared from orbit of 9 to 7 is at most 0.621419441119882. \n",
"distance squared from orbit of 9 to 7 will be revised since for 9 10 7: 0.20833333902778844+0.20000003238393804<0.621419441119882\n",
"revised distance squared from orbit of 9 to 7 is at most 0.621419441119882. \n",
"distance squared from orbit of 9 to 7 will be revised since for 9 14 7: 0.33337354996683627+0.2000000000000981<0.621419441119882\n",
"revised distance squared from orbit of 9 to 7 is at most 0.600016927944438. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 6 12: 0.3333972179959877+0.250000000000005<0.7500000723306584\n",
"revised distance squared from orbit of 9 to 12 is at most 0.7500000723306584. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 10 12: 0.20833333902778844+0.5000000043585543<0.7500000723306584\n",
"revised distance squared from orbit of 9 to 12 is at most 0.7500000723306584. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 13 12: 1.6221437404151825e-6+0.5000724303719044<0.7500000723306584\n",
"revised distance squared from orbit of 9 to 12 is at most 0.5015641264561926. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 15 12: 2.7516510900433383e-7+0.500000005709653<0.5015641264561926\n",
"revised distance squared from orbit of 9 to 12 is at most 0.5015641264561926. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 18 12: 0.20289258795194892+0.2500000000000241<0.5015641264561926\n",
"revised distance squared from orbit of 9 to 12 is at most 0.500198257533106. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 21 12: 0.0001845990348058072+0.5000000000000119<0.500198257533106\n",
"revised distance squared from orbit of 9 to 12 is at most 0.5000034862662076. \n",
"distance squared from orbit of 9 to 14 will be revised since for 9 4 14: 0.3333333353649726+7.480394254751195e-9<0.33337354996683627\n",
"revised distance squared from orbit of 9 to 14 is at most 0.33337354996683627. \n",
"distance squared from orbit of 9 to 14 will be revised since for 9 10 14: 0.20833333902778844+7.21911927373819e-8<0.33337354996683627\n",
"revised distance squared from orbit of 9 to 14 is at most 0.33337354996683627. \n",
"distance squared from orbit of 9 to 17 will be revised since for 9 13 17: 1.6221437404151825e-6+0.25012919239061054<0.25159639190434085\n",
"revised distance squared from orbit of 9 to 17 is at most 0.2507195192074237. \n",
"distance squared from orbit of 9 to 17 will be revised since for 9 20 17: 2.2014626825724582e-5+0.2500000000111853<0.2507195192074237\n",
"revised distance squared from orbit of 9 to 17 is at most 0.2501263575194974. \n",
"distance squared from orbit of 9 to 18 will be revised since for 9 13 18: 1.6221437404151825e-6+0.20000006504030224<0.20289258795194892\n",
"revised distance squared from orbit of 9 to 18 is at most 0.2005968814872162. \n",
"distance squared from orbit of 9 to 18 will be revised since for 9 15 18: 2.7516510900433383e-7+0.20000000669850865<0.2005968814872162\n",
"revised distance squared from orbit of 9 to 18 is at most 0.20046874089386024. \n",
"distance squared from orbit of 9 to 18 will be revised since for 9 21 18: 0.0001845990348058072+0.20000000000003018<0.20046874089386024\n",
"revised distance squared from orbit of 9 to 18 is at most 0.20007064575567093. \n",
"distance squared from orbit of 9 to 19 will be revised since for 9 13 19: 1.6221437404151825e-6+9.413790254886094e-7<0.0006769061504315461\n",
"revised distance squared from orbit of 9 to 19 is at most 0.0004067430301469139. \n",
"distance squared from orbit of 9 to 19 will be revised since for 9 15 19: 2.7516510900433383e-7+9.076673087669767e-6<0.0004067430301469139\n",
"revised distance squared from orbit of 9 to 19 is at most 7.680235522709547e-5. \n",
"distance squared from orbit of 9 to 20 will be revised since for 9 13 20: 1.6221437404151825e-6+2.3173178116386578e-7<2.2014626825724582e-5\n",
"revised distance squared from orbit of 9 to 20 is at most 4.673745175942279e-6. \n",
"distance squared from orbit of 9 to 21 will be revised since for 9 13 21: 1.6221437404151825e-6+6.644275465248012e-7<0.0001845990348058072\n",
"revised distance squared from orbit of 9 to 21 is at most 0.0001845990348058072. \n",
"distance squared from orbit of 9 to 21 will be revised since for 9 15 21: 2.7516510900433383e-7+6.549007850755832e-7<0.0001845990348058072\n",
"revised distance squared from orbit of 9 to 21 is at most 1.3267940457314005e-6. \n",
"distance squared from orbit of 9 to 23 will be revised since for 9 13 23: 1.6221437404151825e-6+2.1351873521118264e-8<2.1655566385951013e-5\n",
"revised distance squared from orbit of 9 to 23 is at most 2.1655566385951013e-5. \n",
"distance squared from orbit of 9 to 23 will be revised since for 9 15 23: 2.7516510900433383e-7+5.599027719705925e-7<2.1655566385951013e-5\n",
"revised distance squared from orbit of 9 to 23 is at most 1.3053368743927711e-5. \n",
"distance squared from orbit of 9 to 23 will be revised since for 9 20 23: 4.673745175942279e-6+4.602198442564904e-7<1.3053368743927711e-5\n",
"revised distance squared from orbit of 9 to 23 is at most 1.3053368743927711e-5. \n",
"distance squared from orbit of 9 to 23 will be revised since for 9 21 23: 1.3267940457314005e-6+8.01134703598284e-8<1.3053368743927711e-5\n",
"revised distance squared from orbit of 9 to 23 is at most 1.3053368743927711e-5. \n",
"distance squared from orbit of 9 to 23 will be revised since for 9 22 23: 4.8528821558873626e-8+4.383850250277859e-7<1.3053368743927711e-5\n",
"revised distance squared from orbit of 9 to 23 is at most 4.598431100516353e-7. \n",
"\n",
"distance squared from orbit of 10 to 2 will be revised since for 10 7 2: 0.20000003238393804+0.5000000011356924<0.7333341296919881\n",
"revised distance squared from orbit of 10 to 2 is at most 0.7333341296919881. \n",
"distance squared from orbit of 10 to 2 will be revised since for 10 14 2: 7.21911927373819e-8+0.6666666743803712<0.7333341296919881\n",
"revised distance squared from orbit of 10 to 2 is at most 0.6666666746488673. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 7 6: 0.20000003238393804+0.3333334656011004<0.6666667743923493\n",
"revised distance squared from orbit of 10 to 6 is at most 0.6666667743923493. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 13 6: 0.1666683312525764+0.3334250465377652<0.6666667743923493\n",
"revised distance squared from orbit of 10 to 6 is at most 0.6666667743923493. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 14 6: 7.21911927373819e-8+0.6273220037501102<0.6666667743923493\n",
"revised distance squared from orbit of 10 to 6 is at most 0.6273220139241736. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 18 6: 0.20000000578967755+0.3333333347333823<0.6273220139241736\n",
"revised distance squared from orbit of 10 to 6 is at most 0.6273220139241736. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 20 6: 0.1666667696809195+0.3333333333583463<0.6273220139241736\n",
"revised distance squared from orbit of 10 to 6 is at most 0.6273220139241736. \n",
"distance squared from orbit of 10 to 8 will be revised since for 10 3 8: 0.5000000265958809+3.512082237424113e-10<0.5000000300323243\n",
"revised distance squared from orbit of 10 to 8 is at most 0.5000000300323243. \n",
"distance squared from orbit of 10 to 8 will be revised since for 10 21 8: 2.7384698575935387e-8+0.5000000000002081<0.5000000300323243\n",
"revised distance squared from orbit of 10 to 8 is at most 0.5000000041081631. \n",
"distance squared from orbit of 10 to 9 will be revised since for 10 3 9: 0.5000000265958809+3.540142875819456e-8<0.5000171371378833\n",
"revised distance squared from orbit of 10 to 9 is at most 0.5000171371378833. \n",
"distance squared from orbit of 10 to 9 will be revised since for 10 15 9: 6.7998419335423705e-6+0.5000001154597059<0.5000171371378833\n",
"revised distance squared from orbit of 10 to 9 is at most 0.5000171371378833. \n",
"distance squared from orbit of 10 to 12 will be revised since for 10 7 12: 0.20000003238393804+0.25000000145100554<0.5000000043585543\n",
"revised distance squared from orbit of 10 to 12 is at most 0.5000000043585543. \n",
"distance squared from orbit of 10 to 12 will be revised since for 10 18 12: 0.20000000578967755+0.2500000000000241<0.5000000043585543\n",
"revised distance squared from orbit of 10 to 12 is at most 0.5000000034648147. \n",
"distance squared from orbit of 10 to 13 will be revised since for 10 19 13: 1.1911716501194083e-6+0.1666666666690595<0.1666683312525764\n",
"revised distance squared from orbit of 10 to 13 is at most 0.16666692222156987. \n",
"distance squared from orbit of 10 to 17 will be revised since for 10 7 17: 0.20000003238393804+0.2500001236211174<0.5000000010017449\n",
"revised distance squared from orbit of 10 to 17 is at most 0.5000000010017449. \n",
"distance squared from orbit of 10 to 17 will be revised since for 10 13 17: 0.16666692222156987+0.25012919239061054<0.5000000010017449\n",
"revised distance squared from orbit of 10 to 17 is at most 0.5000000010017449. \n",
"distance squared from orbit of 10 to 17 will be revised since for 10 18 17: 0.20000000578967755+0.25000000017414514<0.5000000010017449\n",
"revised distance squared from orbit of 10 to 17 is at most 0.5000000010017449. \n",
"distance squared from orbit of 10 to 17 will be revised since for 10 20 17: 0.1666667696809195+0.2500000000111853<0.5000000010017449\n",
"revised distance squared from orbit of 10 to 17 is at most 0.5000000010017449. \n",
"distance squared from orbit of 10 to 20 will be revised since for 10 21 20: 2.7384698575935387e-8+0.16666674130396128<0.1666667696809195\n",
"revised distance squared from orbit of 10 to 20 is at most 0.16666675077400647. \n",
"distance squared from orbit of 10 to 22 will be revised since for 10 15 22: 6.7998419335423705e-6+3.724431103776777e-8<3.461059854922562e-5\n",
"revised distance squared from orbit of 10 to 22 is at most 1.8355004561615977e-5. \n",
"distance squared from orbit of 10 to 23 will be revised since for 10 14 23: 7.21911927373819e-8+5.597286291004132e-7<6.752967172356981e-6\n",
"revised distance squared from orbit of 10 to 23 is at most 3.817400697455099e-7. \n",
"distance squared from orbit of 10 to 23 will be revised since for 10 21 23: 2.7384698575935387e-8+8.01134703598284e-8<3.817400697455099e-7\n",
"revised distance squared from orbit of 10 to 23 is at most 3.817400697455099e-7. \n",
"\n",
"distance squared from orbit of 11 to 3 will be revised since for 11 14 3: 8.110006571315815e-9+0.5000000000000376<0.5000001875174792\n",
"revised distance squared from orbit of 11 to 3 is at most 0.5000000052961144. \n",
"distance squared from orbit of 11 to 4 will be revised since for 11 14 4: 8.110006571315815e-9+0.33333333333337073<0.3333336275517084\n",
"revised distance squared from orbit of 11 to 4 is at most 0.33333333378829355. \n",
"distance squared from orbit of 11 to 6 will be revised since for 11 7 6: 0.20005453696701123+0.3333334656011004<0.5993389780077931\n",
"revised distance squared from orbit of 11 to 6 is at most 0.5993389780077931. \n",
"distance squared from orbit of 11 to 6 will be revised since for 11 13 6: 0.16666666751136447+0.3334250465377652<0.5993389780077931\n",
"revised distance squared from orbit of 11 to 6 is at most 0.5993389780077931. \n",
"distance squared from orbit of 11 to 6 will be revised since for 11 20 6: 0.1666694267881068+0.3333333333583463<0.5993389780077931\n",
"revised distance squared from orbit of 11 to 6 is at most 0.5993389780077931. \n",
"distance squared from orbit of 11 to 7 will be revised since for 11 14 7: 8.110006571315815e-9+0.2000000000000981<0.20005453696701123\n",
"revised distance squared from orbit of 11 to 7 is at most 0.2000000058379133. \n",
"distance squared from orbit of 11 to 9 will be revised since for 11 3 9: 0.5000000052961144+3.540142875819456e-8<0.5435113756148318\n",
"revised distance squared from orbit of 11 to 9 is at most 0.5435113756148318. \n",
"distance squared from orbit of 11 to 10 will be revised since for 11 14 10: 8.110006571315815e-9+0.3333333333336929<0.33333334168319795\n",
"revised distance squared from orbit of 11 to 10 is at most 0.33333333418373545. \n",
"distance squared from orbit of 11 to 12 will be revised since for 11 7 12: 0.2000000058379133+0.25000000145100554<0.500000000000178\n",
"revised distance squared from orbit of 11 to 12 is at most 0.500000000000178. \n",
"distance squared from orbit of 11 to 15 will be revised since for 11 14 15: 8.110006571315815e-9+0.3260768737169596<0.32607688201872626\n",
"revised distance squared from orbit of 11 to 15 is at most 0.32607687470222246. \n",
"distance squared from orbit of 11 to 17 will be revised since for 11 7 17: 0.2000000058379133+0.2500001236211174<0.5000000145775693\n",
"revised distance squared from orbit of 11 to 17 is at most 0.5000000145775693. \n",
"distance squared from orbit of 11 to 17 will be revised since for 11 12 17: 0.500000000000178+6.84717979129814e-11<0.5000000145775693\n",
"revised distance squared from orbit of 11 to 17 is at most 0.5000000001313495. \n",
"distance squared from orbit of 11 to 17 will be revised since for 11 13 17: 0.16666666751136447+0.25012919239061054<0.5000000001313495\n",
"revised distance squared from orbit of 11 to 17 is at most 0.5000000001313495. \n",
"distance squared from orbit of 11 to 17 will be revised since for 11 20 17: 0.1666694267881068+0.2500000000111853<0.5000000001313495\n",
"revised distance squared from orbit of 11 to 17 is at most 0.5000000001313495. \n",
"distance squared from orbit of 11 to 18 will be revised since for 11 7 18: 0.2000000058379133+2.3733382077127282e-9<0.40000000000244695\n",
"revised distance squared from orbit of 11 to 18 is at most 0.20000021231924314. \n",
"distance squared from orbit of 11 to 18 will be revised since for 11 14 18: 8.110006571315815e-9+0.20000000003896987<0.20000021231924314\n",
"revised distance squared from orbit of 11 to 18 is at most 0.20000021231924314. \n",
"distance squared from orbit of 11 to 18 will be revised since for 11 19 18: 2.235975073395793e-8+0.20000000063020723<0.20000021231924314\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 11 to 18 is at most 0.20000021231924314. \n",
"distance squared from orbit of 11 to 20 will be revised since for 11 13 20: 0.16666666751136447+2.3173178116386578e-7<0.1666694267881068\n",
"revised distance squared from orbit of 11 to 20 is at most 0.1666680093536119. \n",
"distance squared from orbit of 11 to 20 will be revised since for 11 14 20: 8.110006571315815e-9+0.1666679861468978<0.1666680093536119\n",
"revised distance squared from orbit of 11 to 20 is at most 0.1666680093536119. \n",
"distance squared from orbit of 11 to 20 will be revised since for 11 19 20: 2.235975073395793e-8+0.16666666712385567<0.1666680093536119\n",
"revised distance squared from orbit of 11 to 20 is at most 0.1666666734862594. \n",
"distance squared from orbit of 11 to 21 will be revised since for 11 14 21: 8.110006571315815e-9+4.320819279485753e-8<0.0006066717177827825\n",
"revised distance squared from orbit of 11 to 21 is at most 2.943373469431737e-7. \n",
"distance squared from orbit of 11 to 22 will be revised since for 11 4 22: 0.33333333378829355+0.00011750332816364824<0.4328053960685582\n",
"revised distance squared from orbit of 11 to 22 is at most 0.4328053960685582. \n",
"distance squared from orbit of 11 to 22 will be revised since for 11 10 22: 0.33333333418373545+1.8355004561615977e-5<0.4328053960685582\n",
"revised distance squared from orbit of 11 to 22 is at most 0.4328053960685582. \n",
"distance squared from orbit of 11 to 22 will be revised since for 11 15 22: 0.32607687470222246+3.724431103776777e-8<0.4328053960685582\n",
"revised distance squared from orbit of 11 to 22 is at most 0.4328053960685582. \n",
"distance squared from orbit of 11 to 22 will be revised since for 11 16 22: 0.25000000000178835+9.576673164440107e-8<0.4328053960685582\n",
"revised distance squared from orbit of 11 to 22 is at most 0.4328053960685582. \n",
"distance squared from orbit of 11 to 23 will be revised since for 11 14 23: 8.110006571315815e-9+5.597286291004132e-7<1.32268314506516e-6\n",
"revised distance squared from orbit of 11 to 23 is at most 1.32268314506516e-6. \n",
"distance squared from orbit of 11 to 23 will be revised since for 11 19 23: 2.235975073395793e-8+7.995887543055823e-7<1.32268314506516e-6\n",
"revised distance squared from orbit of 11 to 23 is at most 8.010519299106068e-7. \n",
"distance squared from orbit of 11 to 23 will be revised since for 11 21 23: 2.943373469431737e-7+8.01134703598284e-8<8.010519299106068e-7\n",
"revised distance squared from orbit of 11 to 23 is at most 8.010519299106068e-7. \n",
"\n",
"distance squared from orbit of 12 to 3 will be revised since for 12 6 3: 0.33333334023687244+0.6473671297286967<1.0000000000009575\n",
"revised distance squared from orbit of 12 to 3 is at most 1.0000000000009575. \n",
"distance squared from orbit of 12 to 3 will be revised since for 12 8 3: 0.5000000000001724+0.5000000000000816<1.0000000000009575\n",
"revised distance squared from orbit of 12 to 3 is at most 1.000000000000187. \n",
"distance squared from orbit of 12 to 6 will be revised since for 12 17 6: 6.84717979129814e-11+0.33333333333336546<0.33333334023687244\n",
"revised distance squared from orbit of 12 to 6 is at most 0.33333333334512516. \n",
"distance squared from orbit of 12 to 9 will be revised since for 12 6 9: 0.33333333334512516+0.6594466049442754<1.000000000002275\n",
"revised distance squared from orbit of 12 to 9 is at most 1.000000000002275. \n",
"distance squared from orbit of 12 to 9 will be revised since for 12 13 9: 0.3333409379747572+0.6623028564489924<1.000000000002275\n",
"revised distance squared from orbit of 12 to 9 is at most 1.000000000002275. \n",
"distance squared from orbit of 12 to 10 will be revised since for 12 17 10: 6.84717979129814e-11+0.5000001344763224<0.5000251985393592\n",
"revised distance squared from orbit of 12 to 10 is at most 0.5000001355188998. \n",
"distance squared from orbit of 12 to 11 will be revised since for 12 17 11: 6.84717979129814e-11+0.9791666666669094<0.9791666677193425\n",
"revised distance squared from orbit of 12 to 11 is at most 0.9791666666857418. \n",
"distance squared from orbit of 12 to 12 will be revised since for 12 6 12: 0.33333333334512516+0.250000000000005<0.7500000000003976\n",
"revised distance squared from orbit of 12 to 12 is at most 0.7500000000003976. \n",
"distance squared from orbit of 12 to 12 will be revised since for 12 18 12: 6.892281795963736e-7+0.2500000000000241<0.7500000000003976\n",
"revised distance squared from orbit of 12 to 12 is at most 0.2500000000144589. \n",
"distance squared from orbit of 12 to 13 will be revised since for 12 20 13: 1.7633438208466508e-6+0.33333333333341597<0.3333409379747572\n",
"revised distance squared from orbit of 12 to 13 is at most 0.33333360984194443. \n",
"distance squared from orbit of 12 to 14 will be revised since for 12 2 14: 0.5000000000047347+4.91061571098064e-9<0.5000002773641379\n",
"revised distance squared from orbit of 12 to 14 is at most 0.5000002773641379. \n",
"distance squared from orbit of 12 to 14 will be revised since for 12 8 14: 0.5000000000001724+1.0759759688677524e-7<0.5000002773641379\n",
"revised distance squared from orbit of 12 to 14 is at most 0.5000001566294202. \n",
"distance squared from orbit of 12 to 15 will be revised since for 12 10 15: 0.5000001355188998+6.7998419335423705e-6<0.6458339629620691\n",
"revised distance squared from orbit of 12 to 15 is at most 0.6458339629620691. \n",
"distance squared from orbit of 12 to 15 will be revised since for 12 21 15: 3.5602985316776254e-7+0.6458333333333848<0.6458339629620691\n",
"revised distance squared from orbit of 12 to 15 is at most 0.6458333589465327. \n",
"distance squared from orbit of 12 to 16 will be revised since for 12 17 16: 6.84717979129814e-11+0.875000000000072<1.00000000000037\n",
"revised distance squared from orbit of 12 to 16 is at most 0.8750000000511565. \n",
"distance squared from orbit of 12 to 19 will be revised since for 12 6 19: 0.33333333334512516+9.002154476570412e-8<0.3333492434612356\n",
"revised distance squared from orbit of 12 to 19 is at most 0.3333492434612356. \n",
"distance squared from orbit of 12 to 19 will be revised since for 12 13 19: 0.33333360984194443+9.413790254886094e-7<0.3333492434612356\n",
"revised distance squared from orbit of 12 to 19 is at most 0.3333492434612356. \n",
"distance squared from orbit of 12 to 19 will be revised since for 12 17 19: 6.84717979129814e-11+0.33333388049947704<0.3333492434612356\n",
"revised distance squared from orbit of 12 to 19 is at most 0.3333338804430743. \n",
"distance squared from orbit of 12 to 19 will be revised since for 12 21 19: 3.5602985316776254e-7+0.33333336289093407<0.3333338804430743\n",
"revised distance squared from orbit of 12 to 19 is at most 0.3333338804430743. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 4 22: 0.6666667654260181+0.00011750332816364824<0.8750455540789642\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750455540789642. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 10 22: 0.5000001355188998+1.8355004561615977e-5<0.8750455540789642\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750455540789642. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 15 22: 0.6458333589465327+3.724431103776777e-8<0.8750455540789642\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750455540789642. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 16 22: 0.8750000000511565+9.576673164440107e-8<0.8750455540789642\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750455540789642. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 17 22: 6.84717979129814e-11+0.8750009264497159<0.8750455540789642\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750009265421119. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 21 22: 3.5602985316776254e-7+0.8750000226205474<0.8750009265421119\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750009265421119. \n",
"distance squared from orbit of 12 to 23 will be revised since for 12 17 23: 6.84717979129814e-11+4.443423706039265e-7<3.0917675465206956e-5\n",
"revised distance squared from orbit of 12 to 23 is at most 4.4434345685845287e-7. \n",
"distance squared from orbit of 12 to 23 will be revised since for 12 21 23: 3.5602985316776254e-7+8.01134703598284e-8<4.4434345685845287e-7\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 12 to 23 is at most 4.4434345685845287e-7. \n",
"\n",
"distance squared from orbit of 13 to 1 will be revised since for 13 8 1: 0.48732272822881634+0.5000000000000103<1.0000000084890992\n",
"revised distance squared from orbit of 13 to 1 is at most 1.0000000084890992. \n",
"distance squared from orbit of 13 to 6 will be revised since for 13 20 6: 2.3173178116386578e-7+0.3333333333583463<0.3334250465377652\n",
"revised distance squared from orbit of 13 to 6 is at most 0.333336025207328. \n",
"distance squared from orbit of 13 to 12 will be revised since for 13 18 12: 0.20000006504030224+0.2500000000000241<0.5000724303719044\n",
"revised distance squared from orbit of 13 to 12 is at most 0.5000000165821706. \n",
"distance squared from orbit of 13 to 14 will be revised since for 13 8 14: 0.48732272822881634+1.0759759688677524e-7<0.5000002585758326\n",
"revised distance squared from orbit of 13 to 14 is at most 0.5000002585758326. \n",
"distance squared from orbit of 13 to 14 will be revised since for 13 10 14: 0.4587344996108677+7.21911927373819e-8<0.5000002585758326\n",
"revised distance squared from orbit of 13 to 14 is at most 0.5000002585758326. \n",
"distance squared from orbit of 13 to 17 will be revised since for 13 20 17: 2.3173178116386578e-7+0.2500000000111853<0.25012919239061054\n",
"revised distance squared from orbit of 13 to 17 is at most 0.2500086743301103. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 4 22: 0.5000003046212781+0.00011750332816364824<0.6752406217484334\n",
"revised distance squared from orbit of 13 to 22 is at most 0.6752406217484334. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 9 22: 0.6623028564489924+4.8528821558873626e-8<0.6752406217484334\n",
"revised distance squared from orbit of 13 to 22 is at most 0.6752406217484334. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 10 22: 0.4587344996108677+1.8355004561615977e-5<0.6752406217484334\n",
"revised distance squared from orbit of 13 to 22 is at most 0.6752406217484334. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 15 22: 0.4149973705092607+3.724431103776777e-8<0.6752406217484334\n",
"revised distance squared from orbit of 13 to 22 is at most 0.6752406217484334. \n",
"\n",
"distance squared from orbit of 14 to 6 will be revised since for 14 7 6: 0.2000000000000981+0.3333334656011004<0.6273220037501102\n",
"revised distance squared from orbit of 14 to 6 is at most 0.6273220037501102. \n",
"distance squared from orbit of 14 to 6 will be revised since for 14 13 6: 0.16670151499821056+0.333336025207328<0.6273220037501102\n",
"revised distance squared from orbit of 14 to 6 is at most 0.6273220037501102. \n",
"distance squared from orbit of 14 to 6 will be revised since for 14 18 6: 0.20000000003896987+0.3333333347333823<0.6273220037501102\n",
"revised distance squared from orbit of 14 to 6 is at most 0.6273220037501102. \n",
"distance squared from orbit of 14 to 6 will be revised since for 14 20 6: 0.1666679861468978+0.3333333333583463<0.6273220037501102\n",
"revised distance squared from orbit of 14 to 6 is at most 0.6273220037501102. \n",
"distance squared from orbit of 14 to 9 will be revised since for 14 3 9: 0.5000000000000376+3.540142875819456e-8<0.5960617835137192\n",
"revised distance squared from orbit of 14 to 9 is at most 0.5960617835137192. \n",
"distance squared from orbit of 14 to 12 will be revised since for 14 7 12: 0.2000000000000981+0.25000000145100554<0.5000000004384669\n",
"revised distance squared from orbit of 14 to 12 is at most 0.5000000004384669. \n",
"distance squared from orbit of 14 to 12 will be revised since for 14 18 12: 0.20000000003896987+0.2500000000000241<0.5000000004384669\n",
"revised distance squared from orbit of 14 to 12 is at most 0.5000000000476131. \n",
"distance squared from orbit of 14 to 13 will be revised since for 14 19 13: 2.277784285424035e-5+0.1666666666690595<0.16670151499821056\n",
"revised distance squared from orbit of 14 to 13 is at most 0.16667119107896214. \n",
"distance squared from orbit of 14 to 17 will be revised since for 14 7 17: 0.2000000000000981+0.2500001236211174<0.5000000000000202\n",
"revised distance squared from orbit of 14 to 17 is at most 0.5000000000000202. \n",
"distance squared from orbit of 14 to 17 will be revised since for 14 13 17: 0.16667119107896214+0.2500086743301103<0.5000000000000202\n",
"revised distance squared from orbit of 14 to 17 is at most 0.5000000000000202. \n",
"distance squared from orbit of 14 to 17 will be revised since for 14 18 17: 0.20000000003896987+0.25000000017414514<0.5000000000000202\n",
"revised distance squared from orbit of 14 to 17 is at most 0.5000000000000202. \n",
"distance squared from orbit of 14 to 17 will be revised since for 14 20 17: 0.1666679861468978+0.2500000000111853<0.5000000000000202\n",
"revised distance squared from orbit of 14 to 17 is at most 0.5000000000000202. \n",
"distance squared from orbit of 14 to 20 will be revised since for 14 21 20: 4.320819279485753e-8+0.16666674130396128<0.1666679861468978\n",
"revised distance squared from orbit of 14 to 20 is at most 0.16666672233287752. \n",
"distance squared from orbit of 14 to 22 will be revised since for 14 4 22: 0.33333333333337073+0.00011750332816364824<0.5000000000000486\n",
"revised distance squared from orbit of 14 to 22 is at most 0.5000000000000486. \n",
"distance squared from orbit of 14 to 22 will be revised since for 14 10 22: 0.3333333333336929+1.8355004561615977e-5<0.5000000000000486\n",
"revised distance squared from orbit of 14 to 22 is at most 0.5000000000000486. \n",
"distance squared from orbit of 14 to 22 will be revised since for 14 15 22: 0.3260768737169596+3.724431103776777e-8<0.5000000000000486\n",
"revised distance squared from orbit of 14 to 22 is at most 0.5000000000000486. \n",
"distance squared from orbit of 14 to 23 will be revised since for 14 21 23: 4.320819279485753e-8+8.01134703598284e-8<5.597286291004132e-7\n",
"revised distance squared from orbit of 14 to 23 is at most 6.29218716654996e-8. \n",
"\n",
"distance squared from orbit of 15 to 2 will be revised since for 15 8 2: 0.5000000050751934+0.33333333333340853<0.9184221375521417\n",
"revised distance squared from orbit of 15 to 2 is at most 0.833333338111323. \n",
"distance squared from orbit of 15 to 2 will be revised since for 15 18 2: 0.20000000669850865+0.5000000000000184<0.833333338111323\n",
"revised distance squared from orbit of 15 to 2 is at most 0.8333333370982. \n",
"distance squared from orbit of 15 to 2 will be revised since for 15 19 2: 9.076673087669767e-6+0.6666742343371506<0.8333333370982\n",
"revised distance squared from orbit of 15 to 2 is at most 0.6667109609701244. \n",
"distance squared from orbit of 15 to 2 will be revised since for 15 21 2: 6.549007850755832e-7+0.6666666666668465<0.6667109609701244\n",
"revised distance squared from orbit of 15 to 2 is at most 0.666666684845163. \n",
"distance squared from orbit of 15 to 3 will be revised since for 15 10 3: 0.208333333333367+0.5000000265958809<0.8075499102702888\n",
"revised distance squared from orbit of 15 to 3 is at most 0.8075499102702888. \n",
"distance squared from orbit of 15 to 6 will be revised since for 15 2 6: 0.666666684845163+1.1712309280769558e-7<0.6666670800842084\n",
"revised distance squared from orbit of 15 to 6 is at most 0.6666670800842084. \n",
"distance squared from orbit of 15 to 6 will be revised since for 15 13 6: 0.16667632576674768+0.333336025207328<0.6666670800842084\n",
"revised distance squared from orbit of 15 to 6 is at most 0.6666670800842084. \n",
"distance squared from orbit of 15 to 6 will be revised since for 15 18 6: 0.20000000669850865+0.3333333347333823<0.6666670800842084\n",
"revised distance squared from orbit of 15 to 6 is at most 0.6666666679178453. \n",
"distance squared from orbit of 15 to 6 will be revised since for 15 20 6: 0.16666668735135218+0.3333333333583463<0.6666666679178453\n",
"revised distance squared from orbit of 15 to 6 is at most 0.6666666679178453. \n",
"distance squared from orbit of 15 to 7 will be revised since for 15 4 7: 0.3333333333333874+0.20000000015549102<0.6166666666668006\n",
"revised distance squared from orbit of 15 to 7 is at most 0.6166666666668006. \n",
"distance squared from orbit of 15 to 7 will be revised since for 15 10 7: 0.208333333333367+0.20000003238393804<0.6166666666668006\n",
"revised distance squared from orbit of 15 to 7 is at most 0.6166666666668006. \n",
"distance squared from orbit of 15 to 9 will be revised since for 15 22 9: 3.724431103776777e-8+0.5000000000001208<0.5000001154597059\n",
"revised distance squared from orbit of 15 to 9 is at most 0.5000000066004607. \n",
"distance squared from orbit of 15 to 11 will be revised since for 15 22 11: 3.724431103776777e-8+0.6666666666671303<0.6666667051262726\n",
"revised distance squared from orbit of 15 to 11 is at most 0.6666666801993986. \n",
"distance squared from orbit of 15 to 12 will be revised since for 15 18 12: 0.20000000669850865+0.2500000000000241<0.500000005709653\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 15 to 12 is at most 0.5000000023319603. \n",
"distance squared from orbit of 15 to 13 will be revised since for 15 19 13: 9.076673087669767e-6+0.1666666666690595<0.16667632576674768\n",
"revised distance squared from orbit of 15 to 13 is at most 0.1666693713160223. \n",
"distance squared from orbit of 15 to 14 will be revised since for 15 4 14: 0.3333333333333874+7.480394254751195e-9<0.41666666666676483\n",
"revised distance squared from orbit of 15 to 14 is at most 0.41666666666676483. \n",
"distance squared from orbit of 15 to 14 will be revised since for 15 10 14: 0.208333333333367+7.21911927373819e-8<0.41666666666676483\n",
"revised distance squared from orbit of 15 to 14 is at most 0.41666666666676483. \n",
"distance squared from orbit of 15 to 17 will be revised since for 15 12 17: 0.5000000023319603+6.84717979129814e-11<0.500009521425657\n",
"revised distance squared from orbit of 15 to 17 is at most 0.5000000008289308. \n",
"distance squared from orbit of 15 to 17 will be revised since for 15 13 17: 0.1666693713160223+0.2500086743301103<0.5000000008289308\n",
"revised distance squared from orbit of 15 to 17 is at most 0.5000000008289308. \n",
"distance squared from orbit of 15 to 17 will be revised since for 15 18 17: 0.20000000669850865+0.25000000017414514<0.5000000008289308\n",
"revised distance squared from orbit of 15 to 17 is at most 0.5000000008289308. \n",
"distance squared from orbit of 15 to 17 will be revised since for 15 20 17: 0.16666668735135218+0.2500000000111853<0.5000000008289308\n",
"revised distance squared from orbit of 15 to 17 is at most 0.5000000008289308. \n",
"distance squared from orbit of 15 to 23 will be revised since for 15 22 23: 3.724431103776777e-8+4.383850250277859e-7<5.599027719705925e-7\n",
"revised distance squared from orbit of 15 to 23 is at most 3.4377238879420667e-7. \n",
"\n",
"distance squared from orbit of 16 to 2 will be revised since for 16 3 2: 0.5000000000001086+0.3333333337021806<0.8888888888889416\n",
"revised distance squared from orbit of 16 to 2 is at most 0.8888888888889416. \n",
"distance squared from orbit of 16 to 2 will be revised since for 16 8 2: 0.5000000001372018+0.33333333333340853<0.8888888888889416\n",
"revised distance squared from orbit of 16 to 2 is at most 0.8888888888889416. \n",
"distance squared from orbit of 16 to 4 will be revised since for 16 10 4: 0.37500007011911035+0.16666666666675772<0.6666666666667018\n",
"revised distance squared from orbit of 16 to 4 is at most 0.6666666666667018. \n",
"distance squared from orbit of 16 to 6 will be revised since for 16 20 6: 0.1666667020613107+0.3333333333583463<0.6197265996041824\n",
"revised distance squared from orbit of 16 to 6 is at most 0.6197265996041824. \n",
"distance squared from orbit of 16 to 7 will be revised since for 16 10 7: 0.37500007011911035+0.20000003238393804<0.6000000000045379\n",
"revised distance squared from orbit of 16 to 7 is at most 0.6000000000045379. \n",
"distance squared from orbit of 16 to 7 will be revised since for 16 11 7: 0.33333333333826404+0.2000000058379133<0.6000000000045379\n",
"revised distance squared from orbit of 16 to 7 is at most 0.6000000000045379. \n",
"distance squared from orbit of 16 to 9 will be revised since for 16 3 9: 0.5000000000001086+3.540142875819456e-8<0.5000000368721741\n",
"revised distance squared from orbit of 16 to 9 is at most 0.5000000368721741. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 6 12: 0.6197265996041824+0.250000000000005<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 7 12: 0.6000000000045379+0.25000000145100554<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 10 12: 0.37500007011911035+0.5000000034648147<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 11 12: 0.33333333333826404+0.500000000000178<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 13 12: 0.4055194377748304+0.5000000165821706<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 15 12: 0.3333335077872865+0.5000000023319603<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 18 12: 0.6000000003181641+0.2500000000000241<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 3 14: 0.5000000000001086+1.0973405704351779e-7<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 7 14: 0.6000000000045379+6.866188359096149e-7<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 8 14: 0.5000000001372018+1.0759759688677524e-7<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 10 14: 0.37500007011911035+7.21911927373819e-8<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 11 14: 0.33333333333826404+8.110006571315815e-9<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 15 will be revised since for 16 22 15: 9.576673164440107e-8+0.33333333333338266<0.3333335077872865\n",
"revised distance squared from orbit of 16 to 15 is at most 0.33333334750670784. \n",
"distance squared from orbit of 16 to 17 will be revised since for 16 20 17: 0.1666667020613107+0.2500000000111853<0.4841189103880403\n",
"revised distance squared from orbit of 16 to 17 is at most 0.4841189103880403. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 10 18: 0.37500007011911035+0.20000000578967755<0.6000000003181641\n",
"revised distance squared from orbit of 16 to 18 is at most 0.6000000003181641. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 11 18: 0.33333333333826404+0.20000021231924314<0.6000000003181641\n",
"revised distance squared from orbit of 16 to 18 is at most 0.6000000003181641. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 15 18: 0.33333334750670784+0.20000000669850865<0.6000000003181641\n",
"revised distance squared from orbit of 16 to 18 is at most 0.6000000003181641. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 19 18: 0.33333333627921985+0.20000000063020723<0.6000000003181641\n",
"revised distance squared from orbit of 16 to 18 is at most 0.6000000003181641. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 8 21: 0.5000000001372018+1.1067870978388369e-7<0.5000018935030033\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000018935030033. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 9 21: 0.5000000368721741+1.3267940457314005e-6<0.5000018935030033\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000018935030033. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 10 21: 0.37500007011911035+2.7384698575935387e-8<0.5000018935030033\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000018935030033. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 11 21: 0.33333333333826404+2.943373469431737e-7<0.5000018935030033\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000018935030033. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 13 21: 0.4055194377748304+6.644275465248012e-7<0.5000018935030033\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000018935030033. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 15 21: 0.33333334750670784+6.549007850755832e-7<0.5000018935030033\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 16 to 21 is at most 0.5000018935030033. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 19 21: 0.33333333627921985+3.527290939866991e-7<0.5000018935030033\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000018935030033. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 22 21: 9.576673164440107e-8+0.5000003698317023<0.5000018935030033\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000018935030033. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 23 21: 5.193532522333365e-7+0.5000000000000612<0.5000018935030033\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000000290967263. \n",
"\n",
"distance squared from orbit of 17 to 3 will be revised since for 17 6 3: 0.33333333333336546+0.6473671297286967<1.0000000000030727\n",
"revised distance squared from orbit of 17 to 3 is at most 1.0000000000030727. \n",
"distance squared from orbit of 17 to 3 will be revised since for 17 8 3: 0.5000000000014072+0.5000000000000816<1.0000000000030727\n",
"revised distance squared from orbit of 17 to 3 is at most 1.0000000000030727. \n",
"distance squared from orbit of 17 to 4 will be revised since for 17 6 4: 0.33333333333336546+0.5000000079279346<0.8333339491799714\n",
"revised distance squared from orbit of 17 to 4 is at most 0.8333339491799714. \n",
"distance squared from orbit of 17 to 4 will be revised since for 17 8 4: 0.5000000000014072+0.33333333711365387<0.8333339491799714\n",
"revised distance squared from orbit of 17 to 4 is at most 0.8333339491799714. \n",
"distance squared from orbit of 17 to 4 will be revised since for 17 10 4: 0.5000001344763224+0.16666666666675772<0.8333339491799714\n",
"revised distance squared from orbit of 17 to 4 is at most 0.8333338087982535. \n",
"distance squared from orbit of 17 to 4 will be revised since for 17 23 4: 4.443423706039265e-7+0.8333333333333628<0.8333338087982535\n",
"revised distance squared from orbit of 17 to 4 is at most 0.8333334637149559. \n",
"distance squared from orbit of 17 to 5 will be revised since for 17 6 5: 0.33333333333336546+1.000000000000028<1.333333333333479\n",
"revised distance squared from orbit of 17 to 5 is at most 1.333333333333479. \n",
"distance squared from orbit of 17 to 7 will be revised since for 17 8 7: 0.5000000000014072+0.20000000000944446<0.8799795560894286\n",
"revised distance squared from orbit of 17 to 7 is at most 0.8799795560894286. \n",
"distance squared from orbit of 17 to 7 will be revised since for 17 10 7: 0.5000001344763224+0.20000003238393804<0.8799795560894286\n",
"revised distance squared from orbit of 17 to 7 is at most 0.8799795560894286. \n",
"distance squared from orbit of 17 to 7 will be revised since for 17 14 7: 0.6666666666672746+0.2000000000000981<0.8799795560894286\n",
"revised distance squared from orbit of 17 to 7 is at most 0.8799795560894286. \n",
"distance squared from orbit of 17 to 9 will be revised since for 17 6 9: 0.33333333333336546+0.6594466049442754<1.0000000001914482\n",
"revised distance squared from orbit of 17 to 9 is at most 1.0000000001914482. \n",
"distance squared from orbit of 17 to 9 will be revised since for 17 13 9: 0.3333906078025592+0.6623028564489924<1.0000000001914482\n",
"revised distance squared from orbit of 17 to 9 is at most 1.0000000001914482. \n",
"distance squared from orbit of 17 to 12 will be revised since for 17 6 12: 0.33333333333336546+0.250000000000005<0.9500000000031346\n",
"revised distance squared from orbit of 17 to 12 is at most 0.9500000000031346. \n",
"distance squared from orbit of 17 to 12 will be revised since for 17 13 12: 0.3333906078025592+0.5000000165821706<0.9500000000031346\n",
"revised distance squared from orbit of 17 to 12 is at most 0.9500000000031346. \n",
"distance squared from orbit of 17 to 12 will be revised since for 17 18 12: 0.5615196053982421+0.2500000000000241<0.9500000000031346\n",
"revised distance squared from orbit of 17 to 12 is at most 0.7500000001596057. \n",
"distance squared from orbit of 17 to 14 will be revised since for 17 8 14: 0.5000000000014072+1.0759759688677524e-7<0.6666666666672746\n",
"revised distance squared from orbit of 17 to 14 is at most 0.6666666666672746. \n",
"distance squared from orbit of 17 to 14 will be revised since for 17 10 14: 0.5000001344763224+7.21911927373819e-8<0.6666666666672746\n",
"revised distance squared from orbit of 17 to 14 is at most 0.6666666666672746. \n",
"distance squared from orbit of 17 to 15 will be revised since for 17 10 15: 0.5000001344763224+6.7998419335423705e-6<0.6666671765784656\n",
"revised distance squared from orbit of 17 to 15 is at most 0.6666671765784656. \n",
"distance squared from orbit of 17 to 15 will be revised since for 17 23 15: 4.443423706039265e-7+0.6666666666668012<0.6666671765784656\n",
"revised distance squared from orbit of 17 to 15 is at most 0.6666669119722374. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 6 18: 0.33333333333336546+0.20000002834654027<0.5615196053982421\n",
"revised distance squared from orbit of 17 to 18 is at most 0.5615196053982421. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 13 18: 0.3333906078025592+0.20000006504030224<0.5615196053982421\n",
"revised distance squared from orbit of 17 to 18 is at most 0.5615196053982421. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 19 18: 0.33333388049947704+0.20000000063020723<0.5615196053982421\n",
"revised distance squared from orbit of 17 to 18 is at most 0.5615196053982421. \n",
"distance squared from orbit of 17 to 19 will be revised since for 17 6 19: 0.33333333333336546+9.002154476570412e-8<0.33333388049947704\n",
"revised distance squared from orbit of 17 to 19 is at most 0.33333388049947704. \n",
"distance squared from orbit of 17 to 19 will be revised since for 17 23 19: 4.443423706039265e-7+0.33333333333349163<0.33333388049947704\n",
"revised distance squared from orbit of 17 to 19 is at most 0.3333335283415205. \n",
"distance squared from orbit of 17 to 21 will be revised since for 17 6 21: 0.33333333333336546+3.0796519508902654e-6<0.5000000427075242\n",
"revised distance squared from orbit of 17 to 21 is at most 0.5000000427075242. \n",
"distance squared from orbit of 17 to 21 will be revised since for 17 13 21: 0.3333906078025592+6.644275465248012e-7<0.5000000427075242\n",
"revised distance squared from orbit of 17 to 21 is at most 0.5000000427075242. \n",
"distance squared from orbit of 17 to 21 will be revised since for 17 19 21: 0.3333335283415205+3.527290939866991e-7<0.5000000427075242\n",
"revised distance squared from orbit of 17 to 21 is at most 0.5000000427075242. \n",
"distance squared from orbit of 17 to 22 will be revised since for 17 4 22: 0.8333334637149559+0.00011750332816364824<0.8750009264497159\n",
"revised distance squared from orbit of 17 to 22 is at most 0.8750009264497159. \n",
"distance squared from orbit of 17 to 22 will be revised since for 17 10 22: 0.5000001344763224+1.8355004561615977e-5<0.8750009264497159\n",
"revised distance squared from orbit of 17 to 22 is at most 0.8750009264497159. \n",
"distance squared from orbit of 17 to 22 will be revised since for 17 15 22: 0.6666669119722374+3.724431103776777e-8<0.8750009264497159\n",
"revised distance squared from orbit of 17 to 22 is at most 0.8750009264497159. \n",
"distance squared from orbit of 17 to 22 will be revised since for 17 16 22: 0.875000000000072+9.576673164440107e-8<0.8750009264497159\n",
"revised distance squared from orbit of 17 to 22 is at most 0.8750009264497159. \n",
"distance squared from orbit of 17 to 22 will be revised since for 17 23 22: 4.443423706039265e-7+0.8750000000000243<0.8750009264497159\n",
"revised distance squared from orbit of 17 to 22 is at most 0.8750000777138077. \n",
"\n",
"distance squared from orbit of 18 to 3 will be revised since for 18 6 3: 0.3333333347333823+0.6473671297286967<1.0000000000111782\n",
"revised distance squared from orbit of 18 to 3 is at most 1.0000000000111782. \n",
"distance squared from orbit of 18 to 3 will be revised since for 18 7 3: 0.5000000000001745+0.5000000000070979<1.0000000000111782\n",
"revised distance squared from orbit of 18 to 3 is at most 1.0000000000111782. \n",
"distance squared from orbit of 18 to 3 will be revised since for 18 8 3: 0.5000000000004324+0.5000000000000816<1.0000000000111782\n",
"revised distance squared from orbit of 18 to 3 is at most 1.0000000000003078. \n",
"distance squared from orbit of 18 to 9 will be revised since for 18 6 9: 0.3333333347333823+0.6594466049442754<1.0000000001150302\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 18 to 9 is at most 1.0000000001150302. \n",
"distance squared from orbit of 18 to 9 will be revised since for 18 13 9: 0.3333509871210373+0.6623028564489924<1.0000000001150302\n",
"revised distance squared from orbit of 18 to 9 is at most 1.0000000001150302. \n",
"distance squared from orbit of 18 to 10 will be revised since for 18 20 10: 2.0986109542195287e-5+0.5000003607296684<0.5001622969736932\n",
"revised distance squared from orbit of 18 to 10 is at most 0.5000304906010737. \n",
"distance squared from orbit of 18 to 10 will be revised since for 18 21 10: 8.212685945258158e-7+0.5000000378069758<0.5000304906010737\n",
"revised distance squared from orbit of 18 to 10 is at most 0.5000304906010737. \n",
"distance squared from orbit of 18 to 14 will be revised since for 18 2 14: 0.5000000000000184+4.91061571098064e-9<0.5000000802253725\n",
"revised distance squared from orbit of 18 to 14 is at most 0.5000000802253725. \n",
"distance squared from orbit of 18 to 15 will be revised since for 18 10 15: 0.5000304906010737+6.7998419335423705e-6<0.6458335712327132\n",
"revised distance squared from orbit of 18 to 15 is at most 0.6458335712327132. \n",
"distance squared from orbit of 18 to 16 will be revised since for 18 20 16: 2.0986109542195287e-5+0.8750047644817286<0.8755491045349963\n",
"revised distance squared from orbit of 18 to 16 is at most 0.8750071996492611. \n",
"distance squared from orbit of 18 to 16 will be revised since for 18 21 16: 8.212685945258158e-7+0.8750000321235882<0.8750071996492611\n",
"revised distance squared from orbit of 18 to 16 is at most 0.8750071996492611. \n",
"distance squared from orbit of 18 to 17 will be revised since for 18 12 17: 0.2500000000000241+6.84717979129814e-11<0.25000000017414514\n",
"revised distance squared from orbit of 18 to 17 is at most 0.25000000011543866. \n",
"distance squared from orbit of 18 to 19 will be revised since for 18 6 19: 0.3333333347333823+9.002154476570412e-8<0.3334857411347989\n",
"revised distance squared from orbit of 18 to 19 is at most 0.3334857411347989. \n",
"distance squared from orbit of 18 to 19 will be revised since for 18 13 19: 0.3333509871210373+9.413790254886094e-7<0.3334857411347989\n",
"revised distance squared from orbit of 18 to 19 is at most 0.3334857411347989. \n",
"distance squared from orbit of 18 to 19 will be revised since for 18 20 19: 2.0986109542195287e-5+0.3333340274866027<0.3334857411347989\n",
"revised distance squared from orbit of 18 to 19 is at most 0.33334051028901307. \n",
"distance squared from orbit of 18 to 19 will be revised since for 18 21 19: 8.212685945258158e-7+0.33333336289093407<0.33334051028901307\n",
"revised distance squared from orbit of 18 to 19 is at most 0.33334051028901307. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 4 22: 0.6666671269851395+0.00011750332816364824<0.8750990717730496\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750990717730496. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 10 22: 0.5000304906010737+1.8355004561615977e-5<0.8750990717730496\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750990717730496. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 15 22: 0.6458335712327132+3.724431103776777e-8<0.8750990717730496\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750990717730496. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 16 22: 0.8750071996492611+9.576673164440107e-8<0.8750990717730496\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750990717730496. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 20 22: 2.0986109542195287e-5+0.8750003825182692<0.8750990717730496\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750086555832395. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 21 22: 8.212685945258158e-7+0.8750000226205474<0.8750086555832395\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750086555832395. \n",
"distance squared from orbit of 18 to 23 will be revised since for 18 20 23: 2.0986109542195287e-5+4.602198442564904e-7<0.00013964449151193507\n",
"revised distance squared from orbit of 18 to 23 is at most 0.0001097106633798051. \n",
"distance squared from orbit of 18 to 23 will be revised since for 18 21 23: 8.212685945258158e-7+8.01134703598284e-8<0.0001097106633798051\n",
"revised distance squared from orbit of 18 to 23 is at most 0.0001097106633798051. \n",
"\n",
"distance squared from orbit of 19 to 2 will be revised since for 19 21 2: 3.527290939866991e-7+0.6666666666668465<0.6666742343371506\n",
"revised distance squared from orbit of 19 to 2 is at most 0.6666666758749727. \n",
"distance squared from orbit of 19 to 6 will be revised since for 19 2 6: 0.6666666758749727+1.1712309280769558e-7<0.6666819512276697\n",
"revised distance squared from orbit of 19 to 6 is at most 0.6666819512276697. \n",
"distance squared from orbit of 19 to 6 will be revised since for 19 13 6: 0.1666666666690595+0.333336025207328<0.6666819512276697\n",
"revised distance squared from orbit of 19 to 6 is at most 0.6666672470030576. \n",
"distance squared from orbit of 19 to 6 will be revised since for 19 18 6: 0.20000000063020723+0.3333333347333823<0.6666672470030576\n",
"revised distance squared from orbit of 19 to 6 is at most 0.6666666696648449. \n",
"distance squared from orbit of 19 to 6 will be revised since for 19 20 6: 0.16666666712385567+0.3333333333583463<0.6666666696648449\n",
"revised distance squared from orbit of 19 to 6 is at most 0.6666666696648449. \n",
"distance squared from orbit of 19 to 12 will be revised since for 19 13 12: 0.1666666666690595+0.5000000165821706<0.7500006338232088\n",
"revised distance squared from orbit of 19 to 12 is at most 0.50000047692242. \n",
"distance squared from orbit of 19 to 12 will be revised since for 19 18 12: 0.20000000063020723+0.2500000000000241<0.50000047692242\n",
"revised distance squared from orbit of 19 to 12 is at most 0.5000000005201435. \n",
"distance squared from orbit of 19 to 14 will be revised since for 19 10 14: 0.45873412263481417+7.21911927373819e-8<0.5000000001102487\n",
"revised distance squared from orbit of 19 to 14 is at most 0.5000000001102487. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 12 17: 0.5000000005201435+6.84717979129814e-11<0.5000000050835096\n",
"revised distance squared from orbit of 19 to 17 is at most 0.5000000050835096. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 13 17: 0.1666666666690595+0.2500086743301103<0.5000000050835096\n",
"revised distance squared from orbit of 19 to 17 is at most 0.5000000050835096. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 18 17: 0.20000000063020723+0.25000000011543866<0.5000000050835096\n",
"revised distance squared from orbit of 19 to 17 is at most 0.500000002404034. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 20 17: 0.16666666712385567+0.2500000000111853<0.500000002404034\n",
"revised distance squared from orbit of 19 to 17 is at most 0.500000002404034. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 4 22: 0.5000000000001318+0.00011750332816364824<0.6752404735809004\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752404735809004. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 10 22: 0.45873412263481417+1.8355004561615977e-5<0.6752404735809004\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752404735809004. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 15 22: 0.4149972878354282+3.724431103776777e-8<0.6752404735809004\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752404735809004. \n",
"distance squared from orbit of 19 to 23 will be revised since for 19 21 23: 3.527290939866991e-7+8.01134703598284e-8<7.995887543055823e-7\n",
"revised distance squared from orbit of 19 to 23 is at most 6.891974903570625e-8. \n",
"\n",
"distance squared from orbit of 20 to 1 will be revised since for 20 8 1: 0.5000000000000204+0.5000000000000103<1.0000000000000457\n",
"revised distance squared from orbit of 20 to 1 is at most 1.0000000000000457. \n",
"distance squared from orbit of 20 to 2 will be revised since for 20 8 2: 0.5000000000000204+0.33333333333340853<0.8333333333372386\n",
"revised distance squared from orbit of 20 to 2 is at most 0.8333333333372386. \n",
"distance squared from orbit of 20 to 3 will be revised since for 20 6 3: 0.3333333333583463+0.6473671297286967<1.000000000000541\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 20 to 3 is at most 1.000000000000541. \n",
"distance squared from orbit of 20 to 3 will be revised since for 20 8 3: 0.5000000000000204+0.5000000000000816<1.000000000000541\n",
"revised distance squared from orbit of 20 to 3 is at most 1.000000000000541. \n",
"distance squared from orbit of 20 to 4 will be revised since for 20 6 4: 0.3333333333583463+0.5000000079279346<0.8333334606733845\n",
"revised distance squared from orbit of 20 to 4 is at most 0.8333334606733845. \n",
"distance squared from orbit of 20 to 4 will be revised since for 20 8 4: 0.5000000000000204+0.33333333711365387<0.8333334606733845\n",
"revised distance squared from orbit of 20 to 4 is at most 0.8333334606733845. \n",
"distance squared from orbit of 20 to 4 will be revised since for 20 10 4: 0.5000003607296684+0.16666666666675772<0.8333334606733845\n",
"revised distance squared from orbit of 20 to 4 is at most 0.8333334606733845. \n",
"distance squared from orbit of 20 to 7 will be revised since for 20 8 7: 0.5000000000000204+0.20000000000944446<0.8945037156075005\n",
"revised distance squared from orbit of 20 to 7 is at most 0.8945037156075005. \n",
"distance squared from orbit of 20 to 7 will be revised since for 20 10 7: 0.5000003607296684+0.20000003238393804<0.8945037156075005\n",
"revised distance squared from orbit of 20 to 7 is at most 0.8945037156075005. \n",
"distance squared from orbit of 20 to 7 will be revised since for 20 14 7: 0.6666666666666987+0.2000000000000981<0.8945037156075005\n",
"revised distance squared from orbit of 20 to 7 is at most 0.8945037156075005. \n",
"distance squared from orbit of 20 to 9 will be revised since for 20 6 9: 0.3333333333583463+0.6594466049442754<1.0000000003706115\n",
"revised distance squared from orbit of 20 to 9 is at most 1.0000000003706115. \n",
"distance squared from orbit of 20 to 9 will be revised since for 20 13 9: 0.33333333333341597+0.6623028564489924<1.0000000003706115\n",
"revised distance squared from orbit of 20 to 9 is at most 1.0000000000745684. \n",
"distance squared from orbit of 20 to 12 will be revised since for 20 6 12: 0.3333333333583463+0.250000000000005<0.7500000000636526\n",
"revised distance squared from orbit of 20 to 12 is at most 0.7500000000636526. \n",
"distance squared from orbit of 20 to 14 will be revised since for 20 8 14: 0.5000000000000204+1.0759759688677524e-7<0.6666666666666987\n",
"revised distance squared from orbit of 20 to 14 is at most 0.6666666666666987. \n",
"distance squared from orbit of 20 to 14 will be revised since for 20 10 14: 0.5000003607296684+7.21911927373819e-8<0.6666666666666987\n",
"revised distance squared from orbit of 20 to 14 is at most 0.6666666666666987. \n",
"distance squared from orbit of 20 to 15 will be revised since for 20 10 15: 0.5000003607296684+6.7998419335423705e-6<0.6666671685829043\n",
"revised distance squared from orbit of 20 to 15 is at most 0.6666671685829043. \n",
"distance squared from orbit of 20 to 15 will be revised since for 20 23 15: 4.602198442564904e-7+0.6666666666668012<0.6666671685829043\n",
"revised distance squared from orbit of 20 to 15 is at most 0.6666669398484498. \n",
"distance squared from orbit of 20 to 16 will be revised since for 20 23 16: 4.602198442564904e-7+0.875000000000126<0.8750047644817286\n",
"revised distance squared from orbit of 20 to 16 is at most 0.8750001954806045. \n",
"distance squared from orbit of 20 to 18 will be revised since for 20 6 18: 0.3333333333583463+0.20000002834654027<0.6000000000083376\n",
"revised distance squared from orbit of 20 to 18 is at most 0.6000000000083376. \n",
"distance squared from orbit of 20 to 18 will be revised since for 20 13 18: 0.33333333333341597+0.20000006504030224<0.6000000000083376\n",
"revised distance squared from orbit of 20 to 18 is at most 0.6000000000083376. \n",
"distance squared from orbit of 20 to 18 will be revised since for 20 19 18: 0.3333340274866027+0.20000000063020723<0.6000000000083376\n",
"revised distance squared from orbit of 20 to 18 is at most 0.6000000000083376. \n",
"distance squared from orbit of 20 to 19 will be revised since for 20 6 19: 0.3333333333583463+9.002154476570412e-8<0.3333340274866027\n",
"revised distance squared from orbit of 20 to 19 is at most 0.3333340274866027. \n",
"distance squared from orbit of 20 to 19 will be revised since for 20 23 19: 4.602198442564904e-7+0.33333333333349163<0.3333340274866027\n",
"revised distance squared from orbit of 20 to 19 is at most 0.3333335365591562. \n",
"distance squared from orbit of 20 to 21 will be revised since for 20 6 21: 0.3333333333583463+3.0796519508902654e-6<0.5000002569625042\n",
"revised distance squared from orbit of 20 to 21 is at most 0.5000002569625042. \n",
"distance squared from orbit of 20 to 21 will be revised since for 20 8 21: 0.5000000000000204+1.1067870978388369e-7<0.5000002569625042\n",
"revised distance squared from orbit of 20 to 21 is at most 0.5000002569625042. \n",
"distance squared from orbit of 20 to 21 will be revised since for 20 13 21: 0.33333333333341597+6.644275465248012e-7<0.5000002569625042\n",
"revised distance squared from orbit of 20 to 21 is at most 0.5000002569625042. \n",
"distance squared from orbit of 20 to 21 will be revised since for 20 19 21: 0.3333335365591562+3.527290939866991e-7<0.5000002569625042\n",
"revised distance squared from orbit of 20 to 21 is at most 0.5000002569625042. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 4 22: 0.8333334606733845+0.00011750332816364824<0.8750003825182692\n",
"revised distance squared from orbit of 20 to 22 is at most 0.8750003825182692. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 10 22: 0.5000003607296684+1.8355004561615977e-5<0.8750003825182692\n",
"revised distance squared from orbit of 20 to 22 is at most 0.8750003825182692. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 15 22: 0.6666669398484498+3.724431103776777e-8<0.8750003825182692\n",
"revised distance squared from orbit of 20 to 22 is at most 0.8750003825182692. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 16 22: 0.8750001954806045+9.576673164440107e-8<0.8750003825182692\n",
"revised distance squared from orbit of 20 to 22 is at most 0.8750003825182692. \n",
"\n",
"distance squared from orbit of 21 to 6 will be revised since for 21 18 6: 0.20000000000003018+0.3333333347333823<0.6666666666672171\n",
"revised distance squared from orbit of 21 to 6 is at most 0.6666666666672171. \n",
"distance squared from orbit of 21 to 6 will be revised since for 21 20 6: 0.16666674130396128+0.3333333333583463<0.6666666666672171\n",
"revised distance squared from orbit of 21 to 6 is at most 0.6666666666672171. \n",
"distance squared from orbit of 21 to 11 will be revised since for 21 23 11: 8.01134703598284e-8+0.9791666666707864<0.9791669787276617\n",
"revised distance squared from orbit of 21 to 11 is at most 0.9791666924835818. \n",
"distance squared from orbit of 21 to 12 will be revised since for 21 18 12: 0.20000000000003018+0.2500000000000241<0.5000000000000119\n",
"revised distance squared from orbit of 21 to 12 is at most 0.5000000000000119. \n",
"distance squared from orbit of 21 to 15 will be revised since for 21 10 15: 0.5000000378069758+6.7998419335423705e-6<0.6458333333333848\n",
"revised distance squared from orbit of 21 to 15 is at most 0.6458333333333848. \n",
"distance squared from orbit of 21 to 17 will be revised since for 21 12 17: 0.5000000000000119+6.84717979129814e-11<0.5000000006485721\n",
"revised distance squared from orbit of 21 to 17 is at most 0.5000000005796487. \n",
"distance squared from orbit of 21 to 17 will be revised since for 21 18 17: 0.20000000000003018+0.25000000011543866<0.5000000005796487\n",
"revised distance squared from orbit of 21 to 17 is at most 0.5000000005796487. \n",
"distance squared from orbit of 21 to 17 will be revised since for 21 20 17: 0.16666674130396128+0.2500000000111853<0.5000000005796487\n",
"revised distance squared from orbit of 21 to 17 is at most 0.5000000005796487. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 4 22: 0.6666666666667002+0.00011750332816364824<0.8750000226205474\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750000226205474. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 10 22: 0.5000000378069758+1.8355004561615977e-5<0.8750000226205474\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750000226205474. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 15 22: 0.6458333333333848+3.724431103776777e-8<0.8750000226205474\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 21 to 22 is at most 0.8750000003968952. \n",
"\n",
"distance squared from orbit of 22 to 2 will be revised since for 22 8 2: 0.5000000046798673+0.33333333333340853<0.9166862508514282\n",
"revised distance squared from orbit of 22 to 2 is at most 0.9166862508514282. \n",
"distance squared from orbit of 22 to 2 will be revised since for 22 23 2: 4.383850250277859e-7+0.9166666666666813<0.9166862508514282\n",
"revised distance squared from orbit of 22 to 2 is at most 0.9166666845367609. \n",
"distance squared from orbit of 22 to 3 will be revised since for 22 10 3: 0.37500000000008465+0.5000000265958809<0.9370994204249926\n",
"revised distance squared from orbit of 22 to 3 is at most 0.9370994204249926. \n",
"distance squared from orbit of 22 to 4 will be revised since for 22 10 4: 0.37500000000008465+0.16666666666675772<0.666666666666679\n",
"revised distance squared from orbit of 22 to 4 is at most 0.666666666666679. \n",
"distance squared from orbit of 22 to 5 will be revised since for 22 15 5: 0.33333333333338266+1.0000000000000173<1.3333333333334034\n",
"revised distance squared from orbit of 22 to 5 is at most 1.3333333333334034. \n",
"distance squared from orbit of 22 to 6 will be revised since for 22 20 6: 0.16666667291890438+0.3333333333583463<0.6666771699452932\n",
"revised distance squared from orbit of 22 to 6 is at most 0.6666666687254745. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 4 7: 0.666666666666679+0.20000000015549102<0.9402229344514158\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9402229344514158. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 8 7: 0.5000000046798673+0.20000000000944446<0.9402229344514158\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9402229344514158. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 10 7: 0.37500000000008465+0.20000003238393804<0.9402229344514158\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9402229344514158. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 11 7: 0.6666666666671303+0.2000000058379133<0.9402229344514158\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9402229344514158. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 14 7: 0.6666666697080686+0.2000000000000981<0.9402229344514158\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9402229344514158. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 23 7: 4.383850250277859e-7+0.9321105255405562<0.9402229344514158\n",
"revised distance squared from orbit of 22 to 7 is at most 0.93211054610591. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 6 12: 0.6666666687254745+0.250000000000005<0.9500060016201058\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500060016201058. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 10 12: 0.37500000000008465+0.5000000034648147<0.9500060016201058\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500060016201058. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 13 12: 0.4406335878339775+0.5000000165821706<0.9500060016201058\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500060016201058. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 15 12: 0.33333333333338266+0.5000000023319603<0.9500060016201058\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500060016201058. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 18 12: 0.6000000867284392+0.2500000000000241<0.9500060016201058\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500060016201058. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 19 12: 0.33333333348044675+0.5000000005201435<0.9500060016201058\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500060016201058. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 20 12: 0.16666667291890438+0.7500000000636526<0.9500060016201058\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500060016201058. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 23 12: 4.383850250277859e-7+0.9500000000002298<0.9500060016201058\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500000100311986. \n",
"distance squared from orbit of 22 to 14 will be revised since for 22 8 14: 0.5000000046798673+1.0759759688677524e-7<0.6666666697080686\n",
"revised distance squared from orbit of 22 to 14 is at most 0.666666668267034. \n",
"distance squared from orbit of 22 to 14 will be revised since for 22 10 14: 0.37500000000008465+7.21911927373819e-8<0.666666668267034\n",
"revised distance squared from orbit of 22 to 14 is at most 0.666666668267034. \n",
"distance squared from orbit of 22 to 17 will be revised since for 22 20 17: 0.16666667291890438+0.2500000000111853<0.5000000035244149\n",
"revised distance squared from orbit of 22 to 17 is at most 0.5000000033224599. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 10 18: 0.37500000000008465+0.20000000578967755<0.6000000867284392\n",
"revised distance squared from orbit of 22 to 18 is at most 0.6000000867284392. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 15 18: 0.33333333333338266+0.20000000669850865<0.6000000867284392\n",
"revised distance squared from orbit of 22 to 18 is at most 0.6000000867284392. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 19 18: 0.33333333348044675+0.20000000063020723<0.6000000867284392\n",
"revised distance squared from orbit of 22 to 18 is at most 0.6000000867284392. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 8 21: 0.5000000046798673+1.1067870978388369e-7<0.5000003698317023\n",
"revised distance squared from orbit of 22 to 21 is at most 0.5000003698317023. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 10 21: 0.37500000000008465+2.7384698575935387e-8<0.5000003698317023\n",
"revised distance squared from orbit of 22 to 21 is at most 0.5000000061313584. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 13 21: 0.4406335878339775+6.644275465248012e-7<0.5000000061313584\n",
"revised distance squared from orbit of 22 to 21 is at most 0.5000000061313584. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 15 21: 0.33333333333338266+6.549007850755832e-7<0.5000000061313584\n",
"revised distance squared from orbit of 22 to 21 is at most 0.5000000061313584. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 19 21: 0.33333333348044675+3.527290939866991e-7<0.5000000061313584\n",
"revised distance squared from orbit of 22 to 21 is at most 0.5000000061313584. \n",
"\n",
"distance squared from orbit of 23 to 2 will be revised since for 23 8 2: 0.5000000000000896+0.33333333333340853<0.9166666666666813\n",
"revised distance squared from orbit of 23 to 2 is at most 0.9166666666666813. \n",
"distance squared from orbit of 23 to 4 will be revised since for 23 10 4: 0.5000000000000316+0.16666666666675772<0.8333333333333628\n",
"revised distance squared from orbit of 23 to 4 is at most 0.8333333333333628. \n",
"distance squared from orbit of 23 to 6 will be revised since for 23 20 6: 0.1666666666666969+0.3333333333583463<0.666666666774871\n",
"revised distance squared from orbit of 23 to 6 is at most 0.6666666667440505. \n",
"distance squared from orbit of 23 to 7 will be revised since for 23 8 7: 0.5000000000000896+0.20000000000944446<0.9321105255405562\n",
"revised distance squared from orbit of 23 to 7 is at most 0.9321105255405562. \n",
"distance squared from orbit of 23 to 7 will be revised since for 23 10 7: 0.5000000000000316+0.20000003238393804<0.9321105255405562\n",
"revised distance squared from orbit of 23 to 7 is at most 0.9321105255405562. \n",
"distance squared from orbit of 23 to 7 will be revised since for 23 14 7: 0.6666666666667078+0.2000000000000981<0.9321105255405562\n",
"revised distance squared from orbit of 23 to 7 is at most 0.9321105255405562. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 6 12: 0.6666666667440505+0.250000000000005<0.9500000000002298\n",
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 13 12: 0.4406335061551001+0.5000000165821706<0.9500000000002298\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 18 12: 0.6000000016317334+0.2500000000000241<0.9500000000002298\n",
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 19 12: 0.33333333333349163+0.5000000005201435<0.9500000000002298\n",
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 20 12: 0.1666666666666969+0.7500000000636526<0.9500000000002298\n",
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 14 will be revised since for 23 8 14: 0.5000000000000896+1.0759759688677524e-7<0.6666666666667078\n",
"revised distance squared from orbit of 23 to 14 is at most 0.6666666666667078. \n",
"distance squared from orbit of 23 to 14 will be revised since for 23 10 14: 0.5000000000000316+7.21911927373819e-8<0.6666666666667078\n",
"revised distance squared from orbit of 23 to 14 is at most 0.6666666666667078. \n",
"distance squared from orbit of 23 to 15 will be revised since for 23 10 15: 0.5000000000000316+6.7998419335423705e-6<0.6666666666668012\n",
"revised distance squared from orbit of 23 to 15 is at most 0.6666666666668012. \n",
"distance squared from orbit of 23 to 17 will be revised since for 23 20 17: 0.1666666666666969+0.2500000000111853<0.5000000000000306\n",
"revised distance squared from orbit of 23 to 17 is at most 0.5000000000000306. \n",
"distance squared from orbit of 23 to 18 will be revised since for 23 19 18: 0.33333333333349163+0.20000000063020723<0.6000000016317334\n",
"revised distance squared from orbit of 23 to 18 is at most 0.6000000016317334. \n",
"distance squared from orbit of 23 to 21 will be revised since for 23 13 21: 0.4406335061551001+6.644275465248012e-7<0.5000000000000612\n",
"revised distance squared from orbit of 23 to 21 is at most 0.5000000000000612. \n",
"distance squared from orbit of 23 to 21 will be revised since for 23 19 21: 0.33333333333349163+3.527290939866991e-7<0.5000000000000612\n",
"revised distance squared from orbit of 23 to 21 is at most 0.5000000000000612. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 4 22: 0.8333333333333628+0.00011750332816364824<0.8750000000000243\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8750000000000243. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 10 22: 0.5000000000000316+1.8355004561615977e-5<0.8750000000000243\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8750000000000243. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 15 22: 0.6666666666668012+3.724431103776777e-8<0.8750000000000243\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8750000000000243. \n",
"\n",
"rechecked new distance squared from orbit of 1 to 1 is at most 9.378649943907308e-14 old is 3.009921880722286e-13. \n",
"rechecked better distance squared from orbit of 1 to 4 is at most 2.4176147355364287e-9 old is 2.417804599474063e-9. \n",
"rechecked better distance squared from orbit of 1 to 6 is at most 0.33333333345568217 old is 0.33333333345568233. \n",
"rechecked better distance squared from orbit of 1 to 8 is at most 3.776276305090561e-10 old is 3.7977719313231946e-10. \n",
"rechecked better distance squared from orbit of 1 to 9 is at most 2.2670436007969343e-8 old is 2.3346096191740106e-8. \n",
"rechecked new distance squared from orbit of 1 to 12 is at most 0.5000000000004593 old is 0.5000000000125124. \n",
"rechecked better distance squared from orbit of 1 to 13 is at most 9.209745357143233e-6 old is 1.4084974200003334e-5. \n",
"rechecked better distance squared from orbit of 1 to 14 is at most 1.9503111558031707e-6 old is 2.2170912401241127e-6. \n",
"rechecked better distance squared from orbit of 1 to 15 is at most 1.127377481518247e-6 old is 1.1273781340556828e-6. \n",
"rechecked better distance squared from orbit of 1 to 17 is at most 0.2513740691259945 old is 0.25286324516027997. \n",
"rechecked better distance squared from orbit of 1 to 18 is at most 0.2000000000777092 old is 0.20000000007973753. \n",
"rechecked better distance squared from orbit of 1 to 19 is at most 8.683766512799532e-6 old is 8.704186067339618e-6. \n",
"rechecked better distance squared from orbit of 1 to 20 is at most 7.194970446946539e-5 old is 7.651276419173611e-5. \n",
"rechecked better distance squared from orbit of 1 to 21 is at most 9.243756284948837e-7 old is 2.1416435886041514e-6. \n",
"rechecked better distance squared from orbit of 1 to 22 is at most 2.2282859400903075e-9 old is 2.2283354733132625e-9. \n",
"rechecked better distance squared from orbit of 1 to 23 is at most 1.098259799409727e-6 old is 1.1071559622605078e-6. \n",
"rechecked better distance squared from orbit of 2 to 4 is at most 0.33333333693871875 old is 0.3333333369387204. \n",
"rechecked new distance squared from orbit of 2 to 5 is at most 1.0000000000000124 old is 1.000000000000056. \n",
"rechecked better distance squared from orbit of 2 to 6 is at most 8.28924211033605e-8 old is 1.1712309280769558e-7. \n",
"rechecked better distance squared from orbit of 2 to 7 is at most 0.20000000008795438 old is 0.2000000000879545. \n",
"rechecked better distance squared from orbit of 2 to 8 is at most 1.0409027038785674e-7 old is 4.403293018623685e-7. \n",
"rechecked better distance squared from orbit of 2 to 13 is at most 3.457739866945495e-5 old is 4.277864328332686e-5. \n",
"rechecked better distance squared from orbit of 2 to 14 is at most 4.907547612472421e-9 old is 4.91061571098064e-9. \n",
"rechecked better distance squared from orbit of 2 to 15 is at most 0.326076877099649 old is 0.3260768770997252. \n",
"rechecked better distance squared from orbit of 2 to 18 is at most 4.0320886287048636e-7 old is 7.872143435608598e-7. \n",
"rechecked better distance squared from orbit of 2 to 20 is at most 1.4363590804847188e-5 old is 1.6526810070182195e-5. \n",
"rechecked better distance squared from orbit of 2 to 21 is at most 1.9810642795323267e-7 old is 7.199030463236371e-7. \n",
"rechecked better distance squared from orbit of 2 to 22 is at most 0.5000000028194399 old is 0.5000000028194479. \n",
"rechecked better distance squared from orbit of 2 to 23 is at most 2.457295531960824e-6 old is 2.4580302794388205e-6. \n",
"rechecked better distance squared from orbit of 3 to 4 is at most 0.16666666984962883 old is 0.16666666985026424. \n",
"rechecked new distance squared from orbit of 3 to 9 is at most 2.7171120056237473e-8 old is 3.540142875819456e-8. \n",
"rechecked better distance squared from orbit of 3 to 9 is at most 1.9722253868198597e-8 old is 2.7171120056237473e-8. \n",
"rechecked better distance squared from orbit of 3 to 10 is at most 5.173509552772859e-9 old is 5.200381077407878e-9. \n",
"rechecked better distance squared from orbit of 3 to 13 is at most 4.360071481425021e-6 old is 4.369592260257876e-6. \n",
"rechecked better distance squared from orbit of 3 to 17 is at most 0.25078618004355785 old is 0.250829212798954. \n",
"rechecked better distance squared from orbit of 3 to 19 is at most 1.3146381948399978e-5 old is 1.3146403873106354e-5. \n",
"rechecked better distance squared from orbit of 3 to 20 is at most 2.4229019580073522e-5 old is 3.8410401003639115e-5. \n",
"rechecked better distance squared from orbit of 3 to 21 is at most 2.098438345139112e-6 old is 2.101781147737596e-6. \n",
"rechecked better distance squared from orbit of 3 to 22 is at most 4.850924697629413e-8 old is 5.003340685607144e-8. \n",
"rechecked better distance squared from orbit of 3 to 23 is at most 2.0467835325922772e-8 old is 6.806574823606655e-8. \n",
"rechecked better distance squared from orbit of 4 to 2 is at most 0.6666666731080083 old is 0.6666666746684983. \n",
"rechecked better distance squared from orbit of 4 to 3 is at most 0.5000000005659568 old is 0.5000000006319384. \n",
"rechecked new distance squared from orbit of 4 to 4 is at most 6.178997771670391e-13 old is 8.944469810193513e-13. \n",
"rechecked better distance squared from orbit of 4 to 6 is at most 0.627322006247406 old is 0.6273220062527215. \n",
"rechecked new distance squared from orbit of 4 to 7 is at most 0.20000000010011096 old is 0.20000000015549102. \n",
"rechecked better distance squared from orbit of 4 to 7 is at most 0.20000000009977675 old is 0.20000000010011096. \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"rechecked better distance squared from orbit of 4 to 8 is at most 0.5000000012027036 old is 0.5000000013227978. \n",
"rechecked better distance squared from orbit of 4 to 9 is at most 0.5000357884371017 old is 0.5001088176366681. \n",
"rechecked new distance squared from orbit of 4 to 10 is at most 9.920700983874293e-9 old is 8.874732477996175e-7. \n",
"rechecked better distance squared from orbit of 4 to 10 is at most 2.634810415920225e-10 old is 9.920700983874293e-9. \n",
"rechecked better distance squared from orbit of 4 to 11 is at most 0.6666844848224655 old is 0.6667130018751901. \n",
"rechecked better distance squared from orbit of 4 to 12 is at most 0.5000000002947355 old is 0.5000000002947357. \n",
"rechecked better distance squared from orbit of 4 to 13 is at most 0.16666680834971478 old is 0.16666691556824464. \n",
"rechecked new distance squared from orbit of 4 to 14 is at most 4.116173384270994e-9 old is 7.480394254751195e-9. \n",
"rechecked new distance squared from orbit of 4 to 15 is at most 4.3928484915676755e-7 old is 9.746637820280875e-7. \n",
"rechecked better distance squared from orbit of 4 to 15 is at most 9.658139519202517e-8 old is 4.3928484915676755e-7. \n",
"rechecked better distance squared from orbit of 4 to 16 is at most 0.5000039173641811 old is 0.5000101343540748. \n",
"rechecked better distance squared from orbit of 4 to 18 is at most 0.2000000016579927 old is 0.2000000016579928. \n",
"rechecked better distance squared from orbit of 4 to 19 is at most 5.488903531577799e-7 old is 6.647613473930702e-7. \n",
"rechecked better distance squared from orbit of 4 to 20 is at most 0.16666672352171216 old is 0.16666672867437932. \n",
"rechecked new distance squared from orbit of 4 to 21 is at most 1.902459265112532e-10 old is 2.5702176668773888e-8. \n",
"rechecked better distance squared from orbit of 4 to 22 is at most 2.0965672054605095e-5 old is 0.00011750332816364824. \n",
"rechecked better distance squared from orbit of 5 to 1 is at most 0.9770023791960686 old is 0.9770023959943734. \n",
"rechecked new distance squared from orbit of 5 to 3 is at most 0.5000000000294048 old is 0.5000000000310778. \n",
"rechecked better distance squared from orbit of 5 to 6 is at most 0.5993396901766623 old is 0.5993397040800931. \n",
"rechecked better distance squared from orbit of 5 to 8 is at most 0.5000000000005119 old is 0.5000000000016392. \n",
"rechecked better distance squared from orbit of 5 to 11 is at most 5.3610867906407185e-6 old is 7.225707873384549e-6. \n",
"rechecked better distance squared from orbit of 5 to 12 is at most 0.500000001066685 old is 0.5000000023800676. \n",
"rechecked better distance squared from orbit of 5 to 13 is at most 0.1666709968891756 old is 0.1666710346927715. \n",
"rechecked new distance squared from orbit of 5 to 14 is at most 3.2538867615592973e-10 old is 8.124410473104478e-10. \n",
"rechecked better distance squared from orbit of 5 to 16 is at most 0.2500000047033173 old is 0.25000005755547305. \n",
"rechecked better distance squared from orbit of 5 to 18 is at most 0.20000000287266162 old is 0.2000000028728502. \n",
"rechecked better distance squared from orbit of 5 to 19 is at most 1.7374351718086601e-6 old is 1.801306029310787e-6. \n",
"rechecked better distance squared from orbit of 5 to 20 is at most 0.16666710598822676 old is 0.16666710624947956. \n",
"rechecked better distance squared from orbit of 5 to 22 is at most 0.4328059301538463 old is 0.4328060376071754. \n",
"rechecked better distance squared from orbit of 5 to 23 is at most 3.6248203028158106e-6 old is 3.6250002589513987e-6. \n",
"rechecked better distance squared from orbit of 6 to 4 is at most 0.500000005804584 old is 0.5000000079279346. \n",
"rechecked better distance squared from orbit of 6 to 10 is at most 0.4587341280657109 old is 0.45873413544184183. \n",
"rechecked better distance squared from orbit of 6 to 13 is at most 4.0232162407384514e-5 old is 8.346726741476915e-5. \n",
"rechecked better distance squared from orbit of 6 to 15 is at most 0.41499729109128347 old is 0.414997291565078. \n",
"rechecked new distance squared from orbit of 6 to 16 is at most 0.8672932564847572 old is 0.8672932565278448. \n",
"rechecked new distance squared from orbit of 6 to 19 is at most 5.20214728083257e-9 old is 9.002154476570412e-8. \n",
"rechecked better distance squared from orbit of 6 to 19 is at most 5.1325540254316486e-9 old is 5.20214728083257e-9. \n",
"rechecked new distance squared from orbit of 6 to 20 is at most 0.00019697067969561563 old is 0.0002485215197930173. \n",
"rechecked better distance squared from orbit of 6 to 20 is at most 0.0001270838525064592 old is 0.00019697067969561563. \n",
"rechecked better distance squared from orbit of 6 to 22 is at most 0.6752404766731841 old is 0.675240476791285. \n",
"rechecked better distance squared from orbit of 6 to 23 is at most 4.3292749978242565e-7 old is 5.966707200622681e-7. \n",
"rechecked better distance squared from orbit of 7 to 2 is at most 0.5000000009673897 old is 0.5000000011356924. \n",
"rechecked better distance squared from orbit of 7 to 4 is at most 0.3333333698288172 old is 0.33333362552807405. \n",
"rechecked better distance squared from orbit of 7 to 5 is at most 1.0000000535677855 old is 1.000000062155797. \n",
"rechecked better distance squared from orbit of 7 to 6 is at most 0.33333343585878794 old is 0.3333334656011004. \n",
"rechecked better distance squared from orbit of 7 to 8 is at most 0.48732316407078213 old is 0.4873233523093018. \n",
"rechecked better distance squared from orbit of 7 to 10 is at most 0.33333333668347376 old is 0.33333336593049273. \n",
"rechecked better distance squared from orbit of 7 to 12 is at most 0.25000000125221766 old is 0.25000000145100554. \n",
"rechecked better distance squared from orbit of 7 to 13 is at most 6.661187614262568e-5 old is 0.00010906834857585077. \n",
"rechecked better distance squared from orbit of 7 to 14 is at most 4.250005782199664e-7 old is 6.866188359096149e-7. \n",
"rechecked better distance squared from orbit of 7 to 15 is at most 0.3260768903594441 old is 0.3260770184658947. \n",
"rechecked new distance squared from orbit of 7 to 17 is at most 0.25000005363963174 old is 0.2500001236211174. \n",
"rechecked better distance squared from orbit of 7 to 17 is at most 0.2500000219079454 old is 0.25000005363963174. \n",
"rechecked better distance squared from orbit of 7 to 18 is at most 2.193316703531932e-9 old is 2.3733382077127282e-9. \n",
"rechecked better distance squared from orbit of 7 to 19 is at most 0.0005562019263926902 old is 0.0005562063880766925. \n",
"rechecked better distance squared from orbit of 7 to 20 is at most 1.2430864213104924e-5 old is 1.4345754900521579e-5. \n",
"rechecked better distance squared from orbit of 7 to 21 is at most 1.07366489337324e-8 old is 3.4356496764845524e-7. \n",
"rechecked better distance squared from orbit of 7 to 22 is at most 0.5000001057114242 old is 0.5000001754079236. \n",
"rechecked better distance squared from orbit of 7 to 23 is at most 8.833018873557809e-6 old is 1.3373509479241153e-5. \n",
"rechecked new distance squared from orbit of 8 to 3 is at most 0.5000000000000809 old is 0.5000000000000816. \n",
"rechecked better distance squared from orbit of 8 to 5 is at most 1.0000000043606199 old is 1.0000000708207324. \n",
"rechecked better distance squared from orbit of 8 to 10 is at most 0.33333333907607 old is 0.3333333505519895. \n",
"rechecked better distance squared from orbit of 8 to 13 is at most 2.7720720658722173e-5 old is 5.615286448731454e-5. \n",
"rechecked better distance squared from orbit of 8 to 14 is at most 4.723764181146227e-9 old is 1.0759759688677524e-7. \n",
"rechecked better distance squared from orbit of 8 to 15 is at most 0.326076880399974 old is 0.3260768804057029. \n",
"rechecked better distance squared from orbit of 8 to 17 is at most 0.2503093827213933 old is 0.25043120207262737. \n",
"rechecked better distance squared from orbit of 8 to 19 is at most 0.00010395777665562894 old is 0.0002632199234028688. \n",
"rechecked better distance squared from orbit of 8 to 20 is at most 0.0001160716785896923 old is 0.00021045762696099627. \n",
"rechecked better distance squared from orbit of 8 to 21 is at most 1.1067735373398488e-7 old is 1.1067870978388369e-7. \n",
"rechecked new distance squared from orbit of 8 to 23 is at most 2.3905464385182973e-6 old is 7.7611642743229e-6. \n",
"rechecked better distance squared from orbit of 8 to 23 is at most 1.4197910266484361e-6 old is 2.3905464385182973e-6. \n",
"rechecked new distance squared from orbit of 9 to 1 is at most 1.0000000000000449 old is 1.0000000000000866. \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"rechecked better distance squared from orbit of 9 to 2 is at most 0.6667010429101614 old is 0.6667037927720919. \n",
"rechecked new distance squared from orbit of 9 to 3 is at most 0.6324643726006665 old is 0.6324643726007304. \n",
"rechecked better distance squared from orbit of 9 to 4 is at most 0.3333333353648525 old is 0.3333333353649726. \n",
"rechecked better distance squared from orbit of 9 to 6 is at most 0.33336822786304715 old is 0.3333972179959877. \n",
"rechecked better distance squared from orbit of 9 to 7 is at most 0.6000068254338897 old is 0.600016927944438. \n",
"rechecked better distance squared from orbit of 9 to 8 is at most 0.44753157273572397 old is 0.4475317424834284. \n",
"rechecked better distance squared from orbit of 9 to 10 is at most 0.20833333898512482 old is 0.20833333902778844. \n",
"rechecked better distance squared from orbit of 9 to 12 is at most 0.5000033614438647 old is 0.5000034862662076. \n",
"rechecked better distance squared from orbit of 9 to 13 is at most 1.0623115939692935e-6 old is 1.6221437404151825e-6. \n",
"rechecked better distance squared from orbit of 9 to 14 is at most 0.3333553056125684 old is 0.33337354996683627. \n",
"rechecked better distance squared from orbit of 9 to 15 is at most 3.272011150594233e-8 old is 2.7516510900433383e-7. \n",
"rechecked better distance squared from orbit of 9 to 17 is at most 0.2500528946323266 old is 0.2501263575194974. \n",
"rechecked better distance squared from orbit of 9 to 18 is at most 0.20003562231486371 old is 0.20007064575567093. \n",
"rechecked better distance squared from orbit of 9 to 19 is at most 4.8073307403380656e-5 old is 7.680235522709547e-5. \n",
"rechecked better distance squared from orbit of 9 to 20 is at most 4.673337261672436e-6 old is 4.673745175942279e-6. \n",
"rechecked better distance squared from orbit of 9 to 21 is at most 1.3265719647554995e-6 old is 1.3267940457314005e-6. \n",
"rechecked better distance squared from orbit of 9 to 22 is at most 3.3955921498699066e-8 old is 4.8528821558873626e-8. \n",
"rechecked better distance squared from orbit of 9 to 23 is at most 4.5984251528740986e-7 old is 4.598431100516353e-7. \n",
"rechecked new distance squared from orbit of 10 to 3 is at most 0.5000000226536402 old is 0.5000000265958809. \n",
"rechecked better distance squared from orbit of 10 to 3 is at most 0.5000000167385638 old is 0.5000000226536402. \n",
"rechecked better distance squared from orbit of 10 to 7 is at most 0.2000000296919511 old is 0.20000003238393804. \n",
"rechecked better distance squared from orbit of 10 to 9 is at most 0.500008735817819 old is 0.5000171371378833. \n",
"rechecked better distance squared from orbit of 10 to 11 is at most 0.6666666673883656 old is 0.6666666695970845. \n",
"rechecked better distance squared from orbit of 10 to 12 is at most 0.5000000034648143 old is 0.5000000034648147. \n",
"rechecked better distance squared from orbit of 10 to 14 is at most 3.166879682771498e-9 old is 7.21911927373819e-8. \n",
"rechecked better distance squared from orbit of 10 to 15 is at most 2.4926875643230267e-6 old is 6.7998419335423705e-6. \n",
"rechecked better distance squared from orbit of 10 to 16 is at most 0.5000000035035752 old is 0.5000004453613963. \n",
"rechecked better distance squared from orbit of 10 to 17 is at most 0.500000000110703 old is 0.5000000010017449. \n",
"rechecked better distance squared from orbit of 10 to 18 is at most 0.2000000044306651 old is 0.20000000578967755. \n",
"rechecked better distance squared from orbit of 10 to 19 is at most 1.1182321965368853e-6 old is 1.1911716501194083e-6. \n",
"rechecked better distance squared from orbit of 10 to 20 is at most 0.16666675071518042 old is 0.16666675077400647. \n",
"rechecked better distance squared from orbit of 10 to 21 is at most 2.8536567690080824e-9 old is 2.7384698575935387e-8. \n",
"rechecked better distance squared from orbit of 10 to 22 is at most 1.1516081427402227e-5 old is 1.8355004561615977e-5. \n",
"rechecked better distance squared from orbit of 10 to 23 is at most 2.404312232611709e-7 old is 3.817400697455099e-7. \n",
"rechecked better distance squared from orbit of 11 to 7 is at most 0.20000000566625722 old is 0.2000000058379133. \n",
"rechecked better distance squared from orbit of 11 to 8 is at most 0.5000000000144402 old is 0.5000000012336481. \n",
"rechecked better distance squared from orbit of 11 to 10 is at most 0.33333333418373495 old is 0.33333333418373545. \n",
"rechecked new distance squared from orbit of 11 to 11 is at most 4.224146789447372e-13 old is 5.255184661697187e-13. \n",
"rechecked better distance squared from orbit of 11 to 13 is at most 0.16666666733610536 old is 0.16666666751136447. \n",
"rechecked better distance squared from orbit of 11 to 14 is at most 7.986329472594663e-9 old is 8.110006571315815e-9. \n",
"rechecked better distance squared from orbit of 11 to 15 is at most 0.32607687470221536 old is 0.32607687470222246. \n",
"rechecked better distance squared from orbit of 11 to 19 is at most 3.5597700168491997e-9 old is 2.235975073395793e-8. \n",
"rechecked better distance squared from orbit of 11 to 21 is at most 2.9397122090028105e-7 old is 2.943373469431737e-7. \n",
"rechecked better distance squared from orbit of 11 to 23 is at most 7.943344658403435e-7 old is 8.010519299106068e-7. \n",
"rechecked better distance squared from orbit of 12 to 4 is at most 0.6666667022057142 old is 0.6666667654260181. \n",
"rechecked better distance squared from orbit of 12 to 7 is at most 0.5000002124648499 old is 0.5000003468675456. \n",
"rechecked new distance squared from orbit of 12 to 8 is at most 0.5000000000001029 old is 0.5000000000001724. \n",
"rechecked new distance squared from orbit of 12 to 12 is at most 2.27091311841711e-12 old is 0.2500000000144589. \n",
"rechecked better distance squared from orbit of 12 to 13 is at most 0.33333360217118535 old is 0.33333360984194443. \n",
"rechecked better distance squared from orbit of 12 to 14 is at most 0.5000000489300597 old is 0.5000001566294202. \n",
"rechecked better distance squared from orbit of 12 to 15 is at most 0.6458333580662908 old is 0.6458333589465327. \n",
"rechecked new distance squared from orbit of 12 to 17 is at most 8.760249092091713e-12 old is 6.84717979129814e-11. \n",
"rechecked better distance squared from orbit of 12 to 18 is at most 3.44827704419166e-7 old is 6.892281795963736e-7. \n",
"rechecked better distance squared from orbit of 12 to 20 is at most 1.1970633222408137e-6 old is 1.7633438208466508e-6. \n",
"rechecked better distance squared from orbit of 12 to 21 is at most 9.266357992818519e-8 old is 3.5602985316776254e-7. \n",
"rechecked better distance squared from orbit of 13 to 1 is at most 1.000000008218128 old is 1.0000000084890992. \n",
"rechecked better distance squared from orbit of 13 to 2 is at most 0.6666666819963827 old is 0.6666668118827497. \n",
"rechecked better distance squared from orbit of 13 to 3 is at most 0.8964466583632851 old is 0.8964469622769567. \n",
"rechecked new distance squared from orbit of 13 to 4 is at most 0.5000001851213123 old is 0.5000003046212781. \n",
"rechecked better distance squared from orbit of 13 to 4 is at most 0.5000000310595044 old is 0.5000001851213123. \n",
"rechecked better distance squared from orbit of 13 to 5 is at most 1.000000003621849 old is 1.0000003937107163. \n",
"rechecked better distance squared from orbit of 13 to 6 is at most 0.33333479295855734 old is 0.333336025207328. \n",
"rechecked better distance squared from orbit of 13 to 7 is at most 0.630123968992332 old is 0.6301240222027034. \n",
"rechecked better distance squared from orbit of 13 to 8 is at most 0.4873226940802534 old is 0.48732272822881634. \n",
"rechecked better distance squared from orbit of 13 to 10 is at most 0.45873414044733485 old is 0.4587344996108677. \n",
"rechecked better distance squared from orbit of 13 to 11 is at most 0.8301371412987845 old is 0.8301371427983814. \n",
"rechecked better distance squared from orbit of 13 to 12 is at most 0.5000000084964146 old is 0.5000000165821706. \n",
"rechecked new distance squared from orbit of 13 to 13 is at most 1.2549729341165172e-13 old is 3.3918253758854486e-12. \n",
"rechecked better distance squared from orbit of 13 to 14 is at most 0.5000000633860121 old is 0.5000002585758326. \n",
"rechecked better distance squared from orbit of 13 to 15 is at most 0.41499728953581444 old is 0.4149973705092607. \n",
"rechecked better distance squared from orbit of 13 to 16 is at most 0.867293299971946 old is 0.8672935503889967. \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"rechecked better distance squared from orbit of 13 to 17 is at most 0.25000222558417234 old is 0.2500086743301103. \n",
"rechecked better distance squared from orbit of 13 to 18 is at most 0.20000001566882905 old is 0.20000006504030224. \n",
"rechecked better distance squared from orbit of 13 to 19 is at most 1.706101532821378e-7 old is 9.413790254886094e-7. \n",
"rechecked better distance squared from orbit of 13 to 20 is at most 7.710790158074996e-8 old is 2.3173178116386578e-7. \n",
"rechecked new distance squared from orbit of 13 to 21 is at most 2.858624135730001e-7 old is 6.644275465248012e-7. \n",
"rechecked better distance squared from orbit of 13 to 21 is at most 2.7083759575971507e-8 old is 2.858624135730001e-7. \n",
"rechecked better distance squared from orbit of 13 to 22 is at most 0.6752404799788442 old is 0.6752406217484334. \n",
"rechecked better distance squared from orbit of 13 to 23 is at most 7.185035027392841e-9 old is 2.1351873521118264e-8. \n",
"rechecked better distance squared from orbit of 14 to 2 is at most 0.6666666726912007 old is 0.6666666743803712. \n",
"rechecked better distance squared from orbit of 14 to 8 is at most 0.5000000000407157 old is 0.5000000000444984. \n",
"rechecked better distance squared from orbit of 14 to 13 is at most 0.16666950126734462 old is 0.16667119107896214. \n",
"rechecked new distance squared from orbit of 14 to 14 is at most 7.616614967060971e-14 old is 3.0948329354280836e-13. \n",
"rechecked better distance squared from orbit of 14 to 19 is at most 7.852078263044236e-6 old is 2.277784285424035e-5. \n",
"rechecked new distance squared from orbit of 14 to 21 is at most 8.292159867064385e-9 old is 4.320819279485753e-8. \n",
"rechecked better distance squared from orbit of 14 to 21 is at most 7.175515286882254e-9 old is 8.292159867064385e-9. \n",
"rechecked better distance squared from orbit of 14 to 23 is at most 6.018944844387001e-8 old is 6.29218716654996e-8. \n",
"rechecked new distance squared from orbit of 15 to 2 is at most 0.6666666713335518 old is 0.666666684845163. \n",
"rechecked better distance squared from orbit of 15 to 2 is at most 0.6666666698198407 old is 0.6666666713335518. \n",
"rechecked better distance squared from orbit of 15 to 6 is at most 0.6666666679178408 old is 0.6666666679178453. \n",
"rechecked new distance squared from orbit of 15 to 7 is at most 0.616666666666741 old is 0.6166666666668006. \n",
"rechecked better distance squared from orbit of 15 to 8 is at most 0.5000000033173423 old is 0.5000000050751934. \n",
"rechecked better distance squared from orbit of 15 to 12 is at most 0.5000000023319491 old is 0.5000000023319603. \n",
"rechecked better distance squared from orbit of 15 to 13 is at most 0.16666876946332881 old is 0.1666693713160223. \n",
"rechecked better distance squared from orbit of 15 to 16 is at most 0.5000000013654952 old is 0.5000000076121053. \n",
"rechecked better distance squared from orbit of 15 to 18 is at most 0.20000000356407002 old is 0.20000000669850865. \n",
"rechecked better distance squared from orbit of 15 to 19 is at most 7.5126645517381815e-6 old is 9.076673087669767e-6. \n",
"rechecked better distance squared from orbit of 15 to 20 is at most 0.16666667912499902 old is 0.16666668735135218. \n",
"rechecked better distance squared from orbit of 15 to 21 is at most 2.8525644519544194e-9 old is 6.549007850755832e-7. \n",
"rechecked better distance squared from orbit of 15 to 22 is at most 3.2139880044953293e-9 old is 3.724431103776777e-8. \n",
"rechecked better distance squared from orbit of 15 to 23 is at most 3.4377042282758063e-7 old is 3.4377238879420667e-7. \n",
"rechecked new distance squared from orbit of 16 to 8 is at most 0.5000000001144169 old is 0.5000000001372018. \n",
"rechecked better distance squared from orbit of 16 to 9 is at most 0.5000000305460011 old is 0.5000000368721741. \n",
"rechecked better distance squared from orbit of 16 to 10 is at most 0.3750000100787866 old is 0.37500007011911035. \n",
"rechecked better distance squared from orbit of 16 to 15 is at most 0.33333334120513636 old is 0.33333334750670784. \n",
"rechecked better distance squared from orbit of 16 to 19 is at most 0.3333333357421066 old is 0.33333333627921985. \n",
"rechecked better distance squared from orbit of 16 to 20 is at most 0.16666668657583542 old is 0.1666667020613107. \n",
"rechecked better distance squared from orbit of 16 to 21 is at most 0.5000000247013434 old is 0.5000000290967263. \n",
"rechecked better distance squared from orbit of 16 to 22 is at most 3.2748047952444684e-8 old is 9.576673164440107e-8. \n",
"rechecked better distance squared from orbit of 16 to 23 is at most 9.921736832530353e-8 old is 5.193532522333365e-7. \n",
"rechecked better distance squared from orbit of 17 to 4 is at most 0.833333427412764 old is 0.8333334637149559. \n",
"rechecked new distance squared from orbit of 17 to 7 is at most 0.8799795560894188 old is 0.8799795560894286. \n",
"rechecked better distance squared from orbit of 17 to 10 is at most 0.500000053400999 old is 0.5000001344763224. \n",
"rechecked new distance squared from orbit of 17 to 12 is at most 0.5000000000000344 old is 0.7500000001596057. \n",
"rechecked better distance squared from orbit of 17 to 13 is at most 0.3333746210142735 old is 0.3333906078025592. \n",
"rechecked new distance squared from orbit of 17 to 14 is at most 0.6666666666667367 old is 0.6666666666672746. \n",
"rechecked better distance squared from orbit of 17 to 20 is at most 3.208806178694853e-5 old is 9.408404162705941e-5. \n",
"rechecked better distance squared from orbit of 17 to 21 is at most 0.5000000031745397 old is 0.5000000427075242. \n",
"rechecked better distance squared from orbit of 17 to 22 is at most 0.8750000777078595 old is 0.8750000777138077. \n",
"rechecked better distance squared from orbit of 17 to 23 is at most 2.9422981103079553e-7 old is 4.443423706039265e-7. \n",
"rechecked new distance squared from orbit of 18 to 4 is at most 0.6666670740207946 old is 0.6666671269851395. \n",
"rechecked better distance squared from orbit of 18 to 4 is at most 0.6666669885616493 old is 0.6666670740207946. \n",
"rechecked new distance squared from orbit of 18 to 5 is at most 1.3333333333387447 old is 1.333333333348542. \n",
"rechecked better distance squared from orbit of 18 to 6 is at most 0.33333333472725574 old is 0.3333333347333823. \n",
"rechecked better distance squared from orbit of 18 to 10 is at most 0.5000304905309422 old is 0.5000304906010737. \n",
"rechecked better distance squared from orbit of 18 to 13 is at most 0.33334797320017423 old is 0.3333509871210373. \n",
"rechecked better distance squared from orbit of 18 to 14 is at most 0.5000000035556638 old is 0.5000000802253725. \n",
"rechecked better distance squared from orbit of 18 to 15 is at most 0.6458333693693721 old is 0.6458335712327132. \n",
"rechecked better distance squared from orbit of 18 to 16 is at most 0.8750071247074017 old is 0.8750071996492611. \n",
"rechecked better distance squared from orbit of 18 to 19 is at most 0.333340491646294 old is 0.33334051028901307. \n",
"rechecked better distance squared from orbit of 18 to 20 is at most 1.2937342179550928e-5 old is 2.0986109542195287e-5. \n",
"rechecked new distance squared from orbit of 18 to 21 is at most 5.56489516520451e-7 old is 8.212685945258158e-7. \n",
"rechecked better distance squared from orbit of 18 to 21 is at most 3.32629958356056e-7 old is 5.56489516520451e-7. \n",
"rechecked better distance squared from orbit of 18 to 22 is at most 0.8750086548614647 old is 0.8750086555832395. \n",
"rechecked better distance squared from orbit of 18 to 23 is at most 1.6728247609268585e-5 old is 0.0001097106633798051. \n",
"rechecked better distance squared from orbit of 19 to 6 is at most 0.6666666696611716 old is 0.6666666696648449. \n",
"rechecked better distance squared from orbit of 19 to 8 is at most 0.5000000157604104 old is 0.500000018047071. \n",
"rechecked new distance squared from orbit of 19 to 10 is at most 0.4587341226348008 old is 0.45873412263481417. \n",
"rechecked better distance squared from orbit of 19 to 14 is at most 0.5000000000668622 old is 0.5000000001102487. \n",
"rechecked better distance squared from orbit of 19 to 18 is at most 0.2000000005431086 old is 0.20000000063020723. \n",
"rechecked better distance squared from orbit of 19 to 20 is at most 0.1666666670628261 old is 0.16666666712385567. \n",
"rechecked better distance squared from orbit of 19 to 21 is at most 1.6158962806054044e-7 old is 3.527290939866991e-7. \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"rechecked new distance squared from orbit of 19 to 23 is at most 2.934930933401749e-10 old is 6.891974903570625e-8. \n",
"rechecked better distance squared from orbit of 19 to 23 is at most 2.919540786442655e-10 old is 2.934930933401749e-10. \n",
"rechecked better distance squared from orbit of 20 to 4 is at most 0.8333333598487614 old is 0.8333334606733845. \n",
"rechecked new distance squared from orbit of 20 to 6 is at most 0.3333333333340647 old is 0.3333333333583463. \n",
"rechecked better distance squared from orbit of 20 to 10 is at most 0.5000002876722398 old is 0.5000003607296684. \n",
"rechecked better distance squared from orbit of 20 to 12 is at most 0.7500000000425259 old is 0.7500000000636526. \n",
"rechecked better distance squared from orbit of 20 to 15 is at most 0.6666668739366273 old is 0.6666669398484498. \n",
"rechecked better distance squared from orbit of 20 to 16 is at most 0.8750001912677756 old is 0.8750001954806045. \n",
"rechecked better distance squared from orbit of 20 to 19 is at most 0.333333530256218 old is 0.3333335365591562. \n",
"rechecked new distance squared from orbit of 20 to 20 is at most 2.41401018624766e-13 old is 2.0269398467257518e-10. \n",
"rechecked better distance squared from orbit of 20 to 21 is at most 0.5000001070845262 old is 0.5000002569625042. \n",
"rechecked better distance squared from orbit of 20 to 22 is at most 0.8750001814034217 old is 0.8750003825182692. \n",
"rechecked better distance squared from orbit of 20 to 23 is at most 3.599959375719813e-7 old is 4.602198442564904e-7. \n",
"rechecked new distance squared from orbit of 21 to 7 is at most 0.6301239602446058 old is 0.6301239602446094. \n",
"rechecked new distance squared from orbit of 21 to 8 is at most 0.5000000000000855 old is 0.5000000000002081. \n",
"rechecked new distance squared from orbit of 21 to 10 is at most 0.5000000276110789 old is 0.5000000378069758. \n",
"rechecked better distance squared from orbit of 21 to 10 is at most 0.5000000037798733 old is 0.5000000276110789. \n",
"rechecked better distance squared from orbit of 21 to 16 is at most 0.8750000071372495 old is 0.8750000321235882. \n",
"rechecked better distance squared from orbit of 21 to 19 is at most 0.333333333849954 old is 0.33333336289093407. \n",
"rechecked better distance squared from orbit of 21 to 20 is at most 0.16666671552771367 old is 0.16666674130396128. \n",
"rechecked new distance squared from orbit of 21 to 21 is at most 3.658999129400834e-13 old is 3.5262171097919527e-12. \n",
"rechecked better distance squared from orbit of 21 to 23 is at most 5.9041243580436216e-8 old is 8.01134703598284e-8. \n",
"rechecked better distance squared from orbit of 22 to 2 is at most 0.9166666839452471 old is 0.9166666845367609. \n",
"rechecked better distance squared from orbit of 22 to 6 is at most 0.6666666687249999 old is 0.6666666687254745. \n",
"rechecked better distance squared from orbit of 22 to 7 is at most 0.9321105348046365 old is 0.93211054610591. \n",
"rechecked better distance squared from orbit of 22 to 8 is at most 0.5000000035952726 old is 0.5000000046798673. \n",
"rechecked better distance squared from orbit of 22 to 12 is at most 0.9500000093378514 old is 0.9500000100311986. \n",
"rechecked better distance squared from orbit of 22 to 13 is at most 0.4406335123229996 old is 0.4406335878339775. \n",
"rechecked better distance squared from orbit of 22 to 14 is at most 0.6666666676661096 old is 0.666666668267034. \n",
"rechecked better distance squared from orbit of 22 to 18 is at most 0.6000000145003643 old is 0.6000000867284392. \n",
"rechecked better distance squared from orbit of 22 to 19 is at most 0.33333333347756267 old is 0.33333333348044675. \n",
"rechecked better distance squared from orbit of 22 to 20 is at most 0.16666666846581119 old is 0.16666667291890438. \n",
"rechecked better distance squared from orbit of 22 to 21 is at most 0.5000000061313583 old is 0.5000000061313584. \n",
"rechecked better distance squared from orbit of 22 to 23 is at most 2.0781808011397565e-8 old is 4.383850250277859e-7. \n",
"rechecked new distance squared from orbit of 23 to 19 is at most 0.33333333333345805 old is 0.33333333333349163. \n",
"rechecked new distance squared from orbit of 23 to 23 is at most 1.787415688704973e-14 old is 4.618772910314479e-13. \n",
"third run\n",
"distance squared from orbit of 1 to 9 will be revised since for 1 3 9: 4.690370893413399e-11+1.9722253868198597e-8<2.2670436007969343e-8\n",
"revised distance squared from orbit of 1 to 9 is at most 1.9238954566127248e-8. \n",
"distance squared from orbit of 1 to 10 will be revised since for 1 3 10: 4.690370893413399e-11+5.173509552772859e-9<1.3725018937086242e-8\n",
"revised distance squared from orbit of 1 to 10 is at most 8.062977790718892e-9. \n",
"distance squared from orbit of 1 to 10 will be revised since for 1 4 10: 2.4176147355364287e-9+2.634810415920225e-10<8.062977790718892e-9\n",
"revised distance squared from orbit of 1 to 10 is at most 8.062977790718892e-9. \n",
"distance squared from orbit of 1 to 12 will be revised since for 1 7 12: 0.20000000002258708+0.25000000125221766<0.5000000000004593\n",
"revised distance squared from orbit of 1 to 12 is at most 0.5000000000004593. \n",
"distance squared from orbit of 1 to 12 will be revised since for 1 18 12: 0.2000000000777092+0.2500000000000241<0.5000000000004593\n",
"revised distance squared from orbit of 1 to 12 is at most 0.5000000000004593. \n",
"distance squared from orbit of 1 to 13 will be revised since for 1 3 13: 4.690370893413399e-11+4.360071481425021e-6<9.209745357143233e-6\n",
"revised distance squared from orbit of 1 to 13 is at most 7.892373788358198e-6. \n",
"distance squared from orbit of 1 to 13 will be revised since for 1 9 13: 1.9238954566127248e-8+1.0623115939692935e-6<7.892373788358198e-6\n",
"revised distance squared from orbit of 1 to 13 is at most 7.892373788358198e-6. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 3 14: 4.690370893413399e-11+1.0973405704351779e-7<1.9503111558031707e-6\n",
"revised distance squared from orbit of 1 to 14 is at most 1.9503111558031707e-6. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 4 14: 2.4176147355364287e-9+4.116173384270994e-9<1.9503111558031707e-6\n",
"revised distance squared from orbit of 1 to 14 is at most 1.9503111558031707e-6. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 8 14: 3.776276305090561e-10+4.723764181146227e-9<1.9503111558031707e-6\n",
"revised distance squared from orbit of 1 to 14 is at most 1.9503111558031707e-6. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 10 14: 8.062977790718892e-9+3.166879682771498e-9<1.9503111558031707e-6\n",
"revised distance squared from orbit of 1 to 14 is at most 1.9503111558031707e-6. \n",
"distance squared from orbit of 1 to 15 will be revised since for 1 3 15: 4.690370893413399e-11+4.552182558127568e-7<1.127377481518247e-6\n",
"revised distance squared from orbit of 1 to 15 is at most 1.127377481518247e-6. \n",
"distance squared from orbit of 1 to 15 will be revised since for 1 4 15: 2.4176147355364287e-9+9.658139519202517e-8<1.127377481518247e-6\n",
"revised distance squared from orbit of 1 to 15 is at most 3.969727729320734e-7. \n",
"distance squared from orbit of 1 to 15 will be revised since for 1 9 15: 1.9238954566127248e-8+3.272011150594233e-8<3.969727729320734e-7\n",
"revised distance squared from orbit of 1 to 15 is at most 3.969727729320734e-7. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 3 17: 4.690370893413399e-11+0.25078618004355785<0.2513740691259945\n",
"revised distance squared from orbit of 1 to 17 is at most 0.2507736403149217. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 8 17: 3.776276305090561e-10+0.2503093827213933<0.2507736403149217\n",
"revised distance squared from orbit of 1 to 17 is at most 0.2507736403149217. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 9 17: 1.9238954566127248e-8+0.2500528946323266<0.2507736403149217\n",
"revised distance squared from orbit of 1 to 17 is at most 0.2507736403149217. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 13 17: 7.892373788358198e-6+0.25000222558417234<0.2507736403149217\n",
"revised distance squared from orbit of 1 to 17 is at most 0.2507736403149217. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 20 17: 7.194970446946539e-5+0.2500000000111853<0.2507736403149217\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 1 to 17 is at most 0.2507736403149217. \n",
"distance squared from orbit of 1 to 19 will be revised since for 1 4 19: 2.4176147355364287e-9+5.488903531577799e-7<8.683766512799532e-6\n",
"revised distance squared from orbit of 1 to 19 is at most 8.683766512799532e-6. \n",
"distance squared from orbit of 1 to 19 will be revised since for 1 10 19: 8.062977790718892e-9+1.1182321965368853e-6<8.683766512799532e-6\n",
"revised distance squared from orbit of 1 to 19 is at most 8.683766512799532e-6. \n",
"distance squared from orbit of 1 to 19 will be revised since for 1 13 19: 7.892373788358198e-6+1.706101532821378e-7<8.683766512799532e-6\n",
"revised distance squared from orbit of 1 to 19 is at most 8.683766512799532e-6. \n",
"distance squared from orbit of 1 to 19 will be revised since for 1 15 19: 3.969727729320734e-7+7.5126645517381815e-6<8.683766512799532e-6\n",
"revised distance squared from orbit of 1 to 19 is at most 8.683766512799532e-6. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 3 20: 4.690370893413399e-11+2.4229019580073522e-5<7.194970446946539e-5\n",
"revised distance squared from orbit of 1 to 20 is at most 2.8320338698210567e-5. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 9 20: 1.9238954566127248e-8+4.673337261672436e-6<2.8320338698210567e-5\n",
"revised distance squared from orbit of 1 to 20 is at most 2.8320338698210567e-5. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 13 20: 7.892373788358198e-6+7.710790158074996e-8<2.8320338698210567e-5\n",
"revised distance squared from orbit of 1 to 20 is at most 2.8320338698210567e-5. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 4 21: 2.4176147355364287e-9+1.902459265112532e-10<9.243756284948837e-7\n",
"revised distance squared from orbit of 1 to 21 is at most 9.243756284948837e-7. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 8 21: 3.776276305090561e-10+1.1067735373398488e-7<9.243756284948837e-7\n",
"revised distance squared from orbit of 1 to 21 is at most 9.243756284948837e-7. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 10 21: 8.062977790718892e-9+2.8536567690080824e-9<9.243756284948837e-7\n",
"revised distance squared from orbit of 1 to 21 is at most 9.243756284948837e-7. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 15 21: 3.969727729320734e-7+2.8525644519544194e-9<9.243756284948837e-7\n",
"revised distance squared from orbit of 1 to 21 is at most 9.243756284948837e-7. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 3 23: 4.690370893413399e-11+2.0467835325922772e-8<1.098259799409727e-6\n",
"revised distance squared from orbit of 1 to 23 is at most 1.098259799409727e-6. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 4 23: 2.4176147355364287e-9+1.9850857119940633e-7<1.098259799409727e-6\n",
"revised distance squared from orbit of 1 to 23 is at most 1.098259799409727e-6. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 9 23: 1.9238954566127248e-8+4.5984251528740986e-7<1.098259799409727e-6\n",
"revised distance squared from orbit of 1 to 23 is at most 1.098259799409727e-6. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 10 23: 8.062977790718892e-9+2.404312232611709e-7<1.098259799409727e-6\n",
"revised distance squared from orbit of 1 to 23 is at most 1.098259799409727e-6. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 15 23: 3.969727729320734e-7+3.4377042282758063e-7<1.098259799409727e-6\n",
"revised distance squared from orbit of 1 to 23 is at most 1.098259799409727e-6. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 21 23: 9.243756284948837e-7+5.9041243580436216e-8<1.098259799409727e-6\n",
"revised distance squared from orbit of 1 to 23 is at most 1.098259799409727e-6. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 22 23: 2.2282859400903075e-9+2.0781808011397565e-8<1.098259799409727e-6\n",
"revised distance squared from orbit of 1 to 23 is at most 1.098259799409727e-6. \n",
"\n",
"distance squared from orbit of 2 to 9 will be revised since for 2 1 9: 0.5000000000002985+1.9238954566127248e-8<0.5419582998295409\n",
"revised distance squared from orbit of 2 to 9 is at most 0.5419582998295409. \n",
"distance squared from orbit of 2 to 9 will be revised since for 2 3 9: 0.5000000000264259+1.9722253868198597e-8<0.5419582998295409\n",
"revised distance squared from orbit of 2 to 9 is at most 0.5419582998295409. \n",
"distance squared from orbit of 2 to 13 will be revised since for 2 8 13: 1.0409027038785674e-7+2.7720720658722173e-5<3.457739866945495e-5\n",
"revised distance squared from orbit of 2 to 13 is at most 2.7662937667134124e-5. \n",
"distance squared from orbit of 2 to 17 will be revised since for 2 12 17: 0.25000000000020983+8.760249092091713e-12<0.2500000000142433\n",
"revised distance squared from orbit of 2 to 17 is at most 0.2500000000099525. \n",
"distance squared from orbit of 2 to 19 will be revised since for 2 6 19: 8.28924211033605e-8+5.1325540254316486e-9<1.4965608273233856e-6\n",
"revised distance squared from orbit of 2 to 19 is at most 1.4965608273233856e-6. \n",
"distance squared from orbit of 2 to 20 will be revised since for 2 18 20: 4.0320886287048636e-7+1.2937342179550928e-5<1.4363590804847188e-5\n",
"revised distance squared from orbit of 2 to 20 is at most 1.417249468891884e-5. \n",
"distance squared from orbit of 2 to 21 will be revised since for 2 14 21: 4.907547612472421e-9+7.175515286882254e-9<1.9810642795323267e-7\n",
"revised distance squared from orbit of 2 to 21 is at most 1.9810642795323267e-7. \n",
"distance squared from orbit of 2 to 22 will be revised since for 2 1 22: 0.5000000000002985+2.2282859400903075e-9<0.5000000028194399\n",
"revised distance squared from orbit of 2 to 22 is at most 0.5000000028194399. \n",
"distance squared from orbit of 2 to 22 will be revised since for 2 4 22: 0.33333333693871875+2.0965672054605095e-5<0.5000000028194399\n",
"revised distance squared from orbit of 2 to 22 is at most 0.5000000028194399. \n",
"distance squared from orbit of 2 to 22 will be revised since for 2 10 22: 0.33333333522365344+1.1516081427402227e-5<0.5000000028194399\n",
"revised distance squared from orbit of 2 to 22 is at most 0.5000000028194399. \n",
"distance squared from orbit of 2 to 22 will be revised since for 2 15 22: 0.326076877099649+3.2139880044953293e-9<0.5000000028194399\n",
"revised distance squared from orbit of 2 to 22 is at most 0.5000000028194399. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 6 23: 8.28924211033605e-8+4.3292749978242565e-7<2.457295531960824e-6\n",
"revised distance squared from orbit of 2 to 23 is at most 2.457295531960824e-6. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 8 23: 1.0409027038785674e-7+1.4197910266484361e-6<2.457295531960824e-6\n",
"revised distance squared from orbit of 2 to 23 is at most 2.457295531960824e-6. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 14 23: 4.907547612472421e-9+6.018944844387001e-8<2.457295531960824e-6\n",
"revised distance squared from orbit of 2 to 23 is at most 2.457295531960824e-6. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 19 23: 1.4965608273233856e-6+2.919540786442655e-10<2.457295531960824e-6\n",
"revised distance squared from orbit of 2 to 23 is at most 2.457295531960824e-6. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 21 23: 1.9810642795323267e-7+5.9041243580436216e-8<2.457295531960824e-6\n",
"revised distance squared from orbit of 2 to 23 is at most 2.457295531960824e-6. \n",
"\n",
"distance squared from orbit of 3 to 2 will be revised since for 3 8 2: 3.512082237424113e-10+0.33333333333340853<0.3333333337021806\n",
"revised distance squared from orbit of 3 to 2 is at most 0.3333333337021806. \n",
"distance squared from orbit of 3 to 12 will be revised since for 3 7 12: 0.20000000000807894+0.25000000125221766<0.5000000000001374\n",
"revised distance squared from orbit of 3 to 12 is at most 0.5000000000001374. \n",
"distance squared from orbit of 3 to 12 will be revised since for 3 18 12: 0.20000000007983487+0.2500000000000241<0.5000000000001374\n",
"revised distance squared from orbit of 3 to 12 is at most 0.5000000000001374. \n",
"distance squared from orbit of 3 to 13 will be revised since for 3 9 13: 1.9722253868198597e-8+1.0623115939692935e-6<4.360071481425021e-6\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 3 to 13 is at most 4.360071481425021e-6. \n",
"distance squared from orbit of 3 to 14 will be revised since for 3 8 14: 3.512082237424113e-10+4.723764181146227e-9<1.0973405704351779e-7\n",
"revised distance squared from orbit of 3 to 14 is at most 7.433720757201747e-9. \n",
"distance squared from orbit of 3 to 15 will be revised since for 3 9 15: 1.9722253868198597e-8+3.272011150594233e-8<4.552182558127568e-7\n",
"revised distance squared from orbit of 3 to 15 is at most 2.3579150064921537e-7. \n",
"distance squared from orbit of 3 to 17 will be revised since for 3 8 17: 3.512082237424113e-10+0.2503093827213933<0.25078618004355785\n",
"revised distance squared from orbit of 3 to 17 is at most 0.2503110045717507. \n",
"distance squared from orbit of 3 to 17 will be revised since for 3 9 17: 1.9722253868198597e-8+0.2500528946323266<0.2503110045717507\n",
"revised distance squared from orbit of 3 to 17 is at most 0.2501277599504826. \n",
"distance squared from orbit of 3 to 17 will be revised since for 3 13 17: 4.360071481425021e-6+0.25000222558417234<0.2501277599504826\n",
"revised distance squared from orbit of 3 to 17 is at most 0.2501277599504826. \n",
"distance squared from orbit of 3 to 17 will be revised since for 3 20 17: 2.4229019580073522e-5+0.2500000000111853<0.2501277599504826\n",
"revised distance squared from orbit of 3 to 17 is at most 0.2501277599504826. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 10 19: 5.173509552772859e-9+1.1182321965368853e-6<1.3146381948399978e-5\n",
"revised distance squared from orbit of 3 to 19 is at most 1.3146381948399978e-5. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 13 19: 4.360071481425021e-6+1.706101532821378e-7<1.3146381948399978e-5\n",
"revised distance squared from orbit of 3 to 19 is at most 1.3146381948399978e-5. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 14 19: 7.433720757201747e-9+7.852078263044236e-6<1.3146381948399978e-5\n",
"revised distance squared from orbit of 3 to 19 is at most 1.3146381948399978e-5. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 15 19: 2.3579150064921537e-7+7.5126645517381815e-6<1.3146381948399978e-5\n",
"revised distance squared from orbit of 3 to 19 is at most 1.3146381948399978e-5. \n",
"distance squared from orbit of 3 to 20 will be revised since for 3 9 20: 1.9722253868198597e-8+4.673337261672436e-6<2.4229019580073522e-5\n",
"revised distance squared from orbit of 3 to 20 is at most 2.4229019580073522e-5. \n",
"distance squared from orbit of 3 to 20 will be revised since for 3 13 20: 4.360071481425021e-6+7.710790158074996e-8<2.4229019580073522e-5\n",
"revised distance squared from orbit of 3 to 20 is at most 2.4229019580073522e-5. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 8 21: 3.512082237424113e-10+1.1067735373398488e-7<2.098438345139112e-6\n",
"revised distance squared from orbit of 3 to 21 is at most 3.9919190211964444e-7. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 10 21: 5.173509552772859e-9+2.8536567690080824e-9<3.9919190211964444e-7\n",
"revised distance squared from orbit of 3 to 21 is at most 3.9919190211964444e-7. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 14 21: 7.433720757201747e-9+7.175515286882254e-9<3.9919190211964444e-7\n",
"revised distance squared from orbit of 3 to 21 is at most 3.9919190211964444e-7. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 15 21: 2.3579150064921537e-7+2.8525644519544194e-9<3.9919190211964444e-7\n",
"revised distance squared from orbit of 3 to 21 is at most 3.9919190211964444e-7. \n",
"\n",
"distance squared from orbit of 4 to 2 will be revised since for 4 21 2: 1.902459265112532e-10+0.6666666666668465<0.6666666731080083\n",
"revised distance squared from orbit of 4 to 2 is at most 0.6666666673799462. \n",
"distance squared from orbit of 4 to 6 will be revised since for 4 7 6: 0.20000000009977675+0.33333343585878794<0.627322006247406\n",
"revised distance squared from orbit of 4 to 6 is at most 0.627322006247406. \n",
"distance squared from orbit of 4 to 6 will be revised since for 4 13 6: 0.16666680834971478+0.33333479295855734<0.627322006247406\n",
"revised distance squared from orbit of 4 to 6 is at most 0.627322006247406. \n",
"distance squared from orbit of 4 to 6 will be revised since for 4 18 6: 0.2000000016579927+0.33333333472725574<0.627322006247406\n",
"revised distance squared from orbit of 4 to 6 is at most 0.627322006247406. \n",
"distance squared from orbit of 4 to 6 will be revised since for 4 20 6: 0.16666672352171216+0.3333333333340647<0.627322006247406\n",
"revised distance squared from orbit of 4 to 6 is at most 0.627322006247406. \n",
"distance squared from orbit of 4 to 8 will be revised since for 4 3 8: 0.5000000005659568+3.512082237424113e-10<0.5000000012027036\n",
"revised distance squared from orbit of 4 to 8 is at most 0.5000000012027036. \n",
"distance squared from orbit of 4 to 8 will be revised since for 4 21 8: 1.902459265112532e-10+0.5000000000000855<0.5000000012027036\n",
"revised distance squared from orbit of 4 to 8 is at most 0.5000000000799605. \n",
"distance squared from orbit of 4 to 9 will be revised since for 4 3 9: 0.5000000005659568+1.9722253868198597e-8<0.5000357884371017\n",
"revised distance squared from orbit of 4 to 9 is at most 0.5000357884371017. \n",
"distance squared from orbit of 4 to 9 will be revised since for 4 10 9: 2.634810415920225e-10+0.500008735817819<0.5000357884371017\n",
"revised distance squared from orbit of 4 to 9 is at most 0.5000082957648556. \n",
"distance squared from orbit of 4 to 9 will be revised since for 4 15 9: 9.658139519202517e-8+0.5000000066004607<0.5000082957648556\n",
"revised distance squared from orbit of 4 to 9 is at most 0.5000082957648556. \n",
"distance squared from orbit of 4 to 11 will be revised since for 4 10 11: 2.634810415920225e-10+0.6666666673883656<0.6666844848224655\n",
"revised distance squared from orbit of 4 to 11 is at most 0.6666721605058392. \n",
"distance squared from orbit of 4 to 11 will be revised since for 4 15 11: 9.658139519202517e-8+0.6666666801993986<0.6666721605058392\n",
"revised distance squared from orbit of 4 to 11 is at most 0.6666721605058392. \n",
"distance squared from orbit of 4 to 12 will be revised since for 4 7 12: 0.20000000009977675+0.25000000125221766<0.5000000002947355\n",
"revised distance squared from orbit of 4 to 12 is at most 0.5000000002947355. \n",
"distance squared from orbit of 4 to 12 will be revised since for 4 18 12: 0.2000000016579927+0.2500000000000241<0.5000000002947355\n",
"revised distance squared from orbit of 4 to 12 is at most 0.5000000002947355. \n",
"distance squared from orbit of 4 to 12 will be revised since for 4 21 12: 1.902459265112532e-10+0.5000000000000119<0.5000000002947355\n",
"revised distance squared from orbit of 4 to 12 is at most 0.5000000001063639. \n",
"distance squared from orbit of 4 to 14 will be revised since for 4 10 14: 2.634810415920225e-10+3.166879682771498e-9<4.116173384270994e-9\n",
"revised distance squared from orbit of 4 to 14 is at most 1.4939695369962261e-9. \n",
"distance squared from orbit of 4 to 16 will be revised since for 4 10 16: 2.634810415920225e-10+0.5000000035035752<0.5000039173641811\n",
"revised distance squared from orbit of 4 to 16 is at most 0.5000039173641811. \n",
"distance squared from orbit of 4 to 16 will be revised since for 4 15 16: 9.658139519202517e-8+0.5000000013654952<0.5000039173641811\n",
"revised distance squared from orbit of 4 to 16 is at most 0.5000039173641811. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 7 17: 0.20000000009977675+0.2500000219079454<0.5000000002429835\n",
"revised distance squared from orbit of 4 to 17 is at most 0.5000000002429835. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 12 17: 0.5000000001063639+8.760249092091713e-12<0.5000000002429835\n",
"revised distance squared from orbit of 4 to 17 is at most 0.5000000002429835. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 13 17: 0.16666680834971478+0.25000222558417234<0.5000000002429835\n",
"revised distance squared from orbit of 4 to 17 is at most 0.5000000002429835. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 18 17: 0.2000000016579927+0.25000000011543866<0.5000000002429835\n",
"revised distance squared from orbit of 4 to 17 is at most 0.5000000002429835. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 20 17: 0.16666672352171216+0.2500000000111853<0.5000000002429835\n",
"revised distance squared from orbit of 4 to 17 is at most 0.5000000002429835. \n",
"distance squared from orbit of 4 to 18 will be revised since for 4 14 18: 1.4939695369962261e-9+0.20000000003896987<0.2000000016579927\n",
"revised distance squared from orbit of 4 to 18 is at most 0.2000000016579927. \n",
"distance squared from orbit of 4 to 18 will be revised since for 4 21 18: 1.902459265112532e-10+0.20000000000003018<0.2000000016579927\n",
"revised distance squared from orbit of 4 to 18 is at most 0.20000000022791073. \n",
"distance squared from orbit of 4 to 20 will be revised since for 4 21 20: 1.902459265112532e-10+0.16666671552771367<0.16666672352171216\n",
"revised distance squared from orbit of 4 to 20 is at most 0.16666671178657796. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 10 22: 2.634810415920225e-10+1.1516081427402227e-5<2.0965672054605095e-5\n",
"revised distance squared from orbit of 4 to 22 is at most 1.0790470231772205e-5. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 15 22: 9.658139519202517e-8+3.2139880044953293e-9<1.0790470231772205e-5\n",
"revised distance squared from orbit of 4 to 22 is at most 1.0790470231772205e-5. \n",
"distance squared from orbit of 4 to 23 will be revised since for 4 14 23: 1.4939695369962261e-9+6.018944844387001e-8<1.9850857119940633e-7\n",
"revised distance squared from orbit of 4 to 23 is at most 1.9850857119940633e-7. \n",
"distance squared from orbit of 4 to 23 will be revised since for 4 21 23: 1.902459265112532e-10+5.9041243580436216e-8<1.9850857119940633e-7\n",
"revised distance squared from orbit of 4 to 23 is at most 6.018387874284289e-8. \n",
"\n",
"distance squared from orbit of 5 to 2 will be revised since for 5 14 2: 3.2538867615592973e-10+0.6666666726912007<0.666666807883171\n",
"revised distance squared from orbit of 5 to 2 is at most 0.6666667023615069. \n",
"distance squared from orbit of 5 to 4 will be revised since for 5 14 4: 3.2538867615592973e-10+0.33333333333337073<0.3333333337026528\n",
"revised distance squared from orbit of 5 to 4 is at most 0.33333333334951915. \n",
"distance squared from orbit of 5 to 6 will be revised since for 5 7 6: 0.20000000006284951+0.33333343585878794<0.5993396901766623\n",
"revised distance squared from orbit of 5 to 6 is at most 0.5993396901766623. \n",
"distance squared from orbit of 5 to 6 will be revised since for 5 13 6: 0.1666709968891756+0.33333479295855734<0.5993396901766623\n",
"revised distance squared from orbit of 5 to 6 is at most 0.5993396901766623. \n",
"distance squared from orbit of 5 to 6 will be revised since for 5 18 6: 0.20000000287266162+0.33333333472725574<0.5993396901766623\n",
"revised distance squared from orbit of 5 to 6 is at most 0.5993396901766623. \n",
"distance squared from orbit of 5 to 6 will be revised since for 5 20 6: 0.16666710598822676+0.3333333333340647<0.5993396901766623\n",
"revised distance squared from orbit of 5 to 6 is at most 0.5993396901766623. \n",
"distance squared from orbit of 5 to 12 will be revised since for 5 7 12: 0.20000000006284951+0.25000000125221766<0.500000001066685\n",
"revised distance squared from orbit of 5 to 12 is at most 0.500000001066685. \n",
"distance squared from orbit of 5 to 12 will be revised since for 5 14 12: 3.2538867615592973e-10+0.5000000000476131<0.500000001066685\n",
"revised distance squared from orbit of 5 to 12 is at most 0.500000001066685. \n",
"distance squared from orbit of 5 to 12 will be revised since for 5 18 12: 0.20000000287266162+0.2500000000000241<0.500000001066685\n",
"revised distance squared from orbit of 5 to 12 is at most 0.5000000010496645. \n",
"distance squared from orbit of 5 to 13 will be revised since for 5 14 13: 3.2538867615592973e-10+0.16666950126734462<0.1666709968891756\n",
"revised distance squared from orbit of 5 to 13 is at most 0.16666949968920558. \n",
"distance squared from orbit of 5 to 13 will be revised since for 5 19 13: 1.7374351718086601e-6+0.1666666666690595<0.16666949968920558\n",
"revised distance squared from orbit of 5 to 13 is at most 0.16666798255243095. \n",
"distance squared from orbit of 5 to 17 will be revised since for 5 7 17: 0.20000000006284951+0.2500000219079454<0.5000000000057041\n",
"revised distance squared from orbit of 5 to 17 is at most 0.5000000000057041. \n",
"distance squared from orbit of 5 to 17 will be revised since for 5 13 17: 0.16666798255243095+0.25000222558417234<0.5000000000057041\n",
"revised distance squared from orbit of 5 to 17 is at most 0.5000000000057041. \n",
"distance squared from orbit of 5 to 17 will be revised since for 5 18 17: 0.20000000287266162+0.25000000011543866<0.5000000000057041\n",
"revised distance squared from orbit of 5 to 17 is at most 0.5000000000057041. \n",
"distance squared from orbit of 5 to 17 will be revised since for 5 20 17: 0.16666710598822676+0.2500000000111853<0.5000000000057041\n",
"revised distance squared from orbit of 5 to 17 is at most 0.5000000000057041. \n",
"distance squared from orbit of 5 to 18 will be revised since for 5 7 18: 0.20000000006284951+2.193316703531932e-9<0.20000000287266162\n",
"revised distance squared from orbit of 5 to 18 is at most 0.20000000266761686. \n",
"distance squared from orbit of 5 to 18 will be revised since for 5 14 18: 3.2538867615592973e-10+0.20000000003896987<0.20000000266761686\n",
"revised distance squared from orbit of 5 to 18 is at most 0.20000000122053582. \n",
"distance squared from orbit of 5 to 20 will be revised since for 5 14 20: 3.2538867615592973e-10+0.16666672233287752<0.16666710598822676\n",
"revised distance squared from orbit of 5 to 20 is at most 0.16666709966791407. \n",
"distance squared from orbit of 5 to 20 will be revised since for 5 21 20: 6.68250588192159e-8+0.16666671552771367<0.16666709966791407\n",
"revised distance squared from orbit of 5 to 20 is at most 0.16666709966791407. \n",
"distance squared from orbit of 5 to 21 will be revised since for 5 14 21: 3.2538867615592973e-10+7.175515286882254e-9<6.68250588192159e-8\n",
"revised distance squared from orbit of 5 to 21 is at most 6.68250588192159e-8. \n",
"distance squared from orbit of 5 to 22 will be revised since for 5 4 22: 0.33333333334951915+1.0790470231772205e-5<0.4328059301538463\n",
"revised distance squared from orbit of 5 to 22 is at most 0.4328059301538463. \n",
"distance squared from orbit of 5 to 22 will be revised since for 5 10 22: 0.3333333335938715+1.1516081427402227e-5<0.4328059301538463\n",
"revised distance squared from orbit of 5 to 22 is at most 0.4328059301538463. \n",
"distance squared from orbit of 5 to 22 will be revised since for 5 15 22: 0.32607687380624495+3.2139880044953293e-9<0.4328059301538463\n",
"revised distance squared from orbit of 5 to 22 is at most 0.4328059301538463. \n",
"distance squared from orbit of 5 to 22 will be revised since for 5 16 22: 0.2500000047033173+3.2748047952444684e-8<0.4328059301538463\n",
"revised distance squared from orbit of 5 to 22 is at most 0.4328059301538463. \n",
"distance squared from orbit of 5 to 23 will be revised since for 5 14 23: 3.2538867615592973e-10+6.018944844387001e-8<3.6248203028158106e-6\n",
"revised distance squared from orbit of 5 to 23 is at most 1.2993508675230997e-7. \n",
"distance squared from orbit of 5 to 23 will be revised since for 5 21 23: 6.68250588192159e-8+5.9041243580436216e-8<1.2993508675230997e-7\n",
"revised distance squared from orbit of 5 to 23 is at most 1.2993508675230997e-7. \n",
"\n",
"distance squared from orbit of 6 to 1 will be revised since for 6 8 1: 0.25000000000065914+0.5000000000000103<0.8964466094260284\n",
"revised distance squared from orbit of 6 to 1 is at most 0.8964466094260284. \n",
"distance squared from orbit of 6 to 4 will be revised since for 6 19 4: 5.1325540254316486e-9+0.5000000000001318<0.500000005804584\n",
"revised distance squared from orbit of 6 to 4 is at most 0.5000000029505434. \n",
"distance squared from orbit of 6 to 7 will be revised since for 6 8 7: 0.25000000000065914+0.20000000000944446<0.5889020455429128\n",
"revised distance squared from orbit of 6 to 7 is at most 0.5889020455429128. \n",
"distance squared from orbit of 6 to 9 will be revised since for 6 3 9: 0.6473671297286967+1.9722253868198597e-8<0.6594466049442754\n",
"revised distance squared from orbit of 6 to 9 is at most 0.6594466049442754. \n",
"distance squared from orbit of 6 to 10 will be revised since for 6 19 10: 5.1325540254316486e-9+0.4587341226348008<0.4587341280657109\n",
"revised distance squared from orbit of 6 to 10 is at most 0.4587341246485763. \n",
"distance squared from orbit of 6 to 14 will be revised since for 6 8 14: 0.25000000000065914+4.723764181146227e-9<0.4262869158922584\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 6 to 14 is at most 0.4262869158922584. \n",
"distance squared from orbit of 6 to 17 will be revised since for 6 12 17: 0.250000000000005+8.760249092091713e-12<0.25000000002016587\n",
"revised distance squared from orbit of 6 to 17 is at most 0.25000000001018774. \n",
"distance squared from orbit of 6 to 18 will be revised since for 6 19 18: 5.1325540254316486e-9+0.2000000005431086<0.20000002834654027\n",
"revised distance squared from orbit of 6 to 18 is at most 0.20000002834654027. \n",
"distance squared from orbit of 6 to 20 will be revised since for 6 13 20: 4.0232162407384514e-5+7.710790158074996e-8<0.0001270838525064592\n",
"revised distance squared from orbit of 6 to 20 is at most 0.0001060795358567711. \n",
"distance squared from orbit of 6 to 21 will be revised since for 6 19 21: 5.1325540254316486e-9+1.6158962806054044e-7<3.0796519508902654e-6\n",
"revised distance squared from orbit of 6 to 21 is at most 3.0796519508902654e-6. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 3 22: 0.6473671297286967+4.850924697629413e-8<0.6752404766731841\n",
"revised distance squared from orbit of 6 to 22 is at most 0.6752404766731841. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 4 22: 0.5000000029505434+1.0790470231772205e-5<0.6752404766731841\n",
"revised distance squared from orbit of 6 to 22 is at most 0.6752404766731841. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 9 22: 0.6594466049442754+3.3955921498699066e-8<0.6752404766731841\n",
"revised distance squared from orbit of 6 to 22 is at most 0.6752404766731841. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 10 22: 0.4587341246485763+1.1516081427402227e-5<0.6752404766731841\n",
"revised distance squared from orbit of 6 to 22 is at most 0.6752404766731841. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 15 22: 0.41499729109128347+3.2139880044953293e-9<0.6752404766731841\n",
"revised distance squared from orbit of 6 to 22 is at most 0.6752404766731841. \n",
"distance squared from orbit of 6 to 23 will be revised since for 6 19 23: 5.1325540254316486e-9+2.919540786442655e-10<4.3292749978242565e-7\n",
"revised distance squared from orbit of 6 to 23 is at most 4.3292749978242565e-7. \n",
"\n",
"distance squared from orbit of 7 to 6 will be revised since for 7 18 6: 2.193316703531932e-9+0.33333333472725574<0.33333343585878794\n",
"revised distance squared from orbit of 7 to 6 is at most 0.33333343585878794. \n",
"distance squared from orbit of 7 to 9 will be revised since for 7 3 9: 0.5000000000070979+1.9722253868198597e-8<0.5535514783851555\n",
"revised distance squared from orbit of 7 to 9 is at most 0.5535514783851555. \n",
"distance squared from orbit of 7 to 17 will be revised since for 7 12 17: 0.25000000125221766+8.760249092091713e-12<0.2500000219079454\n",
"revised distance squared from orbit of 7 to 17 is at most 0.2500000219079454. \n",
"distance squared from orbit of 7 to 17 will be revised since for 7 18 17: 2.193316703531932e-9+0.25000000011543866<0.2500000219079454\n",
"revised distance squared from orbit of 7 to 17 is at most 0.2500000219079454. \n",
"distance squared from orbit of 7 to 19 will be revised since for 7 13 19: 6.661187614262568e-5+1.706101532821378e-7<0.0005562019263926902\n",
"revised distance squared from orbit of 7 to 19 is at most 0.0005302642529887246. \n",
"distance squared from orbit of 7 to 19 will be revised since for 7 14 19: 4.250005782199664e-7+7.852078263044236e-6<0.0005302642529887246\n",
"revised distance squared from orbit of 7 to 19 is at most 0.0005302642529887246. \n",
"distance squared from orbit of 7 to 22 will be revised since for 7 3 22: 0.5000000000070979+4.850924697629413e-8<0.5000001057114242\n",
"revised distance squared from orbit of 7 to 22 is at most 0.5000001057114242. \n",
"distance squared from orbit of 7 to 22 will be revised since for 7 4 22: 0.3333333698288172+1.0790470231772205e-5<0.5000001057114242\n",
"revised distance squared from orbit of 7 to 22 is at most 0.5000001057114242. \n",
"distance squared from orbit of 7 to 22 will be revised since for 7 10 22: 0.33333333668347376+1.1516081427402227e-5<0.5000001057114242\n",
"revised distance squared from orbit of 7 to 22 is at most 0.5000001057114242. \n",
"distance squared from orbit of 7 to 22 will be revised since for 7 15 22: 0.3260768903594441+3.2139880044953293e-9<0.5000001057114242\n",
"revised distance squared from orbit of 7 to 22 is at most 0.5000001057114242. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 14 23: 4.250005782199664e-7+6.018944844387001e-8<8.833018873557809e-6\n",
"revised distance squared from orbit of 7 to 23 is at most 4.445578508898339e-6. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 21 23: 1.07366489337324e-8+5.9041243580436216e-8<4.445578508898339e-6\n",
"revised distance squared from orbit of 7 to 23 is at most 2.9186990008394265e-6. \n",
"\n",
"distance squared from orbit of 8 to 9 will be revised since for 8 1 9: 0.5000000000000103+1.9238954566127248e-8<0.5629971770848345\n",
"revised distance squared from orbit of 8 to 9 is at most 0.5629971770848345. \n",
"distance squared from orbit of 8 to 9 will be revised since for 8 3 9: 0.5000000000000809+1.9722253868198597e-8<0.5629971770848345\n",
"revised distance squared from orbit of 8 to 9 is at most 0.5629971770848345. \n",
"distance squared from orbit of 8 to 10 will be revised since for 8 4 10: 0.33333333711365387+2.634810415920225e-10<0.33333333907607\n",
"revised distance squared from orbit of 8 to 10 is at most 0.33333333907607. \n",
"distance squared from orbit of 8 to 10 will be revised since for 8 14 10: 4.723764181146227e-9+0.3333333333336929<0.33333333907607\n",
"revised distance squared from orbit of 8 to 10 is at most 0.33333333510279833. \n",
"distance squared from orbit of 8 to 12 will be revised since for 8 7 12: 0.20000000000944446+0.25000000125221766<0.5000000000051011\n",
"revised distance squared from orbit of 8 to 12 is at most 0.5000000000051011. \n",
"distance squared from orbit of 8 to 12 will be revised since for 8 18 12: 0.20000000000025955+0.2500000000000241<0.5000000000051011\n",
"revised distance squared from orbit of 8 to 12 is at most 0.5000000000051011. \n",
"distance squared from orbit of 8 to 15 will be revised since for 8 14 15: 4.723764181146227e-9+0.3260768737169596<0.326076880399974\n",
"revised distance squared from orbit of 8 to 15 is at most 0.32607687912571637. \n",
"distance squared from orbit of 8 to 17 will be revised since for 8 13 17: 2.7720720658722173e-5+0.25000222558417234<0.2503093827213933\n",
"revised distance squared from orbit of 8 to 17 is at most 0.2503093827213933. \n",
"distance squared from orbit of 8 to 17 will be revised since for 8 20 17: 0.0001160716785896923+0.2500000000111853<0.2503093827213933\n",
"revised distance squared from orbit of 8 to 17 is at most 0.2503093827213933. \n",
"distance squared from orbit of 8 to 19 will be revised since for 8 13 19: 2.7720720658722173e-5+1.706101532821378e-7<0.00010395777665562894\n",
"revised distance squared from orbit of 8 to 19 is at most 0.00010395777665562894. \n",
"distance squared from orbit of 8 to 19 will be revised since for 8 14 19: 4.723764181146227e-9+7.852078263044236e-6<0.00010395777665562894\n",
"revised distance squared from orbit of 8 to 19 is at most 4.454481017191511e-5. \n",
"distance squared from orbit of 8 to 20 will be revised since for 8 13 20: 2.7720720658722173e-5+7.710790158074996e-8<0.0001160716785896923\n",
"revised distance squared from orbit of 8 to 20 is at most 0.00011260966982774193. \n",
"distance squared from orbit of 8 to 21 will be revised since for 8 14 21: 4.723764181146227e-9+7.175515286882254e-9<1.1067735373398488e-7\n",
"revised distance squared from orbit of 8 to 21 is at most 1.1067735373398488e-7. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 1 22: 0.5000000000000103+2.2282859400903075e-9<0.5000000050783309\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000050783309. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 4 22: 0.33333333711365387+1.0790470231772205e-5<0.5000000050783309\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000050783309. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 10 22: 0.33333333510279833+1.1516081427402227e-5<0.5000000050783309\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000050783309. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 14 22: 4.723764181146227e-9+0.5000000000000486<0.5000000050783309\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000027968222. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 15 22: 0.32607687912571637+3.2139880044953293e-9<0.5000000027968222\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000027968222. \n",
"distance squared from orbit of 8 to 23 will be revised since for 8 14 23: 4.723764181146227e-9+6.018944844387001e-8<1.4197910266484361e-6\n",
"revised distance squared from orbit of 8 to 23 is at most 1.4197910266484361e-6. \n",
"distance squared from orbit of 8 to 23 will be revised since for 8 21 23: 1.1067735373398488e-7+5.9041243580436216e-8<1.4197910266484361e-6\n",
"revised distance squared from orbit of 8 to 23 is at most 1.4197910266484361e-6. \n",
"\n",
"distance squared from orbit of 9 to 1 will be revised since for 9 8 1: 0.44753157273572397+0.5000000000000103<1.0000000000000449\n",
"revised distance squared from orbit of 9 to 1 is at most 1.0000000000000449. \n",
"distance squared from orbit of 9 to 2 will be revised since for 9 13 2: 1.0623115939692935e-6+0.6666666819963827<0.6667010429101614\n",
"revised distance squared from orbit of 9 to 2 is at most 0.6667010429101614. \n",
"distance squared from orbit of 9 to 2 will be revised since for 9 15 2: 3.272011150594233e-8+0.6666666698198407<0.6667010429101614\n",
"revised distance squared from orbit of 9 to 2 is at most 0.6667010429101614. \n",
"distance squared from orbit of 9 to 2 will be revised since for 9 21 2: 1.3265719647554995e-6+0.6666666666668465<0.6667010429101614\n",
"revised distance squared from orbit of 9 to 2 is at most 0.6666688733247365. \n",
"distance squared from orbit of 9 to 6 will be revised since for 9 13 6: 1.0623115939692935e-6+0.33333479295855734<0.33336822786304715\n",
"revised distance squared from orbit of 9 to 6 is at most 0.33336822786304715. \n",
"distance squared from orbit of 9 to 6 will be revised since for 9 20 6: 4.673337261672436e-6+0.3333333333340647<0.33336822786304715\n",
"revised distance squared from orbit of 9 to 6 is at most 0.33336822786304715. \n",
"distance squared from orbit of 9 to 7 will be revised since for 9 4 7: 0.3333333353648525+0.20000000009977675<0.6000068254338897\n",
"revised distance squared from orbit of 9 to 7 is at most 0.6000068254338897. \n",
"distance squared from orbit of 9 to 7 will be revised since for 9 10 7: 0.20833333898512482+0.2000000296919511<0.6000068254338897\n",
"revised distance squared from orbit of 9 to 7 is at most 0.6000068254338897. \n",
"distance squared from orbit of 9 to 7 will be revised since for 9 14 7: 0.3333553056125684+0.2000000000000981<0.6000068254338897\n",
"revised distance squared from orbit of 9 to 7 is at most 0.600004213879696. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 13 12: 1.0623115939692935e-6+0.5000000084964146<0.5000033614438647\n",
"revised distance squared from orbit of 9 to 12 is at most 0.5000033614438647. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 15 12: 3.272011150594233e-8+0.5000000023319491<0.5000033614438647\n",
"revised distance squared from orbit of 9 to 12 is at most 0.5000033614438647. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 18 12: 0.20003562231486371+0.2500000000000241<0.5000033614438647\n",
"revised distance squared from orbit of 9 to 12 is at most 0.5000033614438647. \n",
"distance squared from orbit of 9 to 12 will be revised since for 9 21 12: 1.3265719647554995e-6+0.5000000000000119<0.5000033614438647\n",
"revised distance squared from orbit of 9 to 12 is at most 0.5000015936665931. \n",
"distance squared from orbit of 9 to 14 will be revised since for 9 4 14: 0.3333333353648525+1.4939695369962261e-9<0.3333553056125684\n",
"revised distance squared from orbit of 9 to 14 is at most 0.3333553056125684. \n",
"distance squared from orbit of 9 to 14 will be revised since for 9 10 14: 0.20833333898512482+3.166879682771498e-9<0.3333553056125684\n",
"revised distance squared from orbit of 9 to 14 is at most 0.3333553056125684. \n",
"distance squared from orbit of 9 to 17 will be revised since for 9 13 17: 1.0623115939692935e-6+0.25000222558417234<0.2500528946323266\n",
"revised distance squared from orbit of 9 to 17 is at most 0.2500528946323266. \n",
"distance squared from orbit of 9 to 17 will be revised since for 9 20 17: 4.673337261672436e-6+0.2500000000111853<0.2500528946323266\n",
"revised distance squared from orbit of 9 to 17 is at most 0.2500528946323266. \n",
"distance squared from orbit of 9 to 18 will be revised since for 9 13 18: 1.0623115939692935e-6+0.20000001566882905<0.20003562231486371\n",
"revised distance squared from orbit of 9 to 18 is at most 0.20003562231486371. \n",
"distance squared from orbit of 9 to 18 will be revised since for 9 15 18: 3.272011150594233e-8+0.20000000356407002<0.20003562231486371\n",
"revised distance squared from orbit of 9 to 18 is at most 0.20003562231486371. \n",
"distance squared from orbit of 9 to 18 will be revised since for 9 21 18: 1.3265719647554995e-6+0.20000000000003018<0.20003562231486371\n",
"revised distance squared from orbit of 9 to 18 is at most 0.20000192473416392. \n",
"distance squared from orbit of 9 to 19 will be revised since for 9 13 19: 1.0623115939692935e-6+1.706101532821378e-7<4.8073307403380656e-5\n",
"revised distance squared from orbit of 9 to 19 is at most 1.9944618534732812e-5. \n",
"distance squared from orbit of 9 to 19 will be revised since for 9 15 19: 3.272011150594233e-8+7.5126645517381815e-6<1.9944618534732812e-5\n",
"revised distance squared from orbit of 9 to 19 is at most 1.9944618534732812e-5. \n",
"distance squared from orbit of 9 to 20 will be revised since for 9 13 20: 1.0623115939692935e-6+7.710790158074996e-8<4.673337261672436e-6\n",
"revised distance squared from orbit of 9 to 20 is at most 4.673337261672436e-6. \n",
"distance squared from orbit of 9 to 21 will be revised since for 9 13 21: 1.0623115939692935e-6+2.7083759575971507e-8<1.3265719647554995e-6\n",
"revised distance squared from orbit of 9 to 21 is at most 1.3265719647554995e-6. \n",
"distance squared from orbit of 9 to 21 will be revised since for 9 15 21: 3.272011150594233e-8+2.8525644519544194e-9<1.3265719647554995e-6\n",
"revised distance squared from orbit of 9 to 21 is at most 1.3265719647554995e-6. \n",
"distance squared from orbit of 9 to 23 will be revised since for 9 15 23: 3.272011150594233e-8+3.4377042282758063e-7<4.5984251528740986e-7\n",
"revised distance squared from orbit of 9 to 23 is at most 4.5984251528740986e-7. \n",
"distance squared from orbit of 9 to 23 will be revised since for 9 22 23: 3.3955921498699066e-8+2.0781808011397565e-8<4.5984251528740986e-7\n",
"revised distance squared from orbit of 9 to 23 is at most 2.502856284379666e-8. \n",
"\n",
"distance squared from orbit of 10 to 2 will be revised since for 10 21 2: 2.8536567690080824e-9+0.6666666666668465<0.6666666746488673\n",
"revised distance squared from orbit of 10 to 2 is at most 0.6666666671008371. \n",
"distance squared from orbit of 10 to 3 will be revised since for 10 14 3: 3.166879682771498e-9+0.5000000000000376<0.5000000167385638\n",
"revised distance squared from orbit of 10 to 3 is at most 0.5000000011257961. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 7 6: 0.2000000296919511+0.33333343585878794<0.6273220139241736\n",
"revised distance squared from orbit of 10 to 6 is at most 0.6273220139241736. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 13 6: 0.16666692222156987+0.33333479295855734<0.6273220139241736\n",
"revised distance squared from orbit of 10 to 6 is at most 0.6273220139241736. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 14 6: 3.166879682771498e-9+0.6273220037501102<0.6273220139241736\n",
"revised distance squared from orbit of 10 to 6 is at most 0.6273220039369519. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 18 6: 0.2000000044306651+0.33333333472725574<0.6273220039369519\n",
"revised distance squared from orbit of 10 to 6 is at most 0.6273220039369519. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 20 6: 0.16666675071518042+0.3333333333340647<0.6273220039369519\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 10 to 6 is at most 0.6273220039369519. \n",
"distance squared from orbit of 10 to 7 will be revised since for 10 14 7: 3.166879682771498e-9+0.2000000000000981<0.2000000296919511\n",
"revised distance squared from orbit of 10 to 7 is at most 0.20000000193131212. \n",
"distance squared from orbit of 10 to 8 will be revised since for 10 3 8: 0.5000000011257961+3.512082237424113e-10<0.5000000041081631\n",
"revised distance squared from orbit of 10 to 8 is at most 0.5000000041081631. \n",
"distance squared from orbit of 10 to 8 will be revised since for 10 14 8: 3.166879682771498e-9+0.5000000000407157<0.5000000041081631\n",
"revised distance squared from orbit of 10 to 8 is at most 0.5000000008623232. \n",
"distance squared from orbit of 10 to 9 will be revised since for 10 3 9: 0.5000000011257961+1.9722253868198597e-8<0.500008735817819\n",
"revised distance squared from orbit of 10 to 9 is at most 0.500008735817819. \n",
"distance squared from orbit of 10 to 9 will be revised since for 10 15 9: 2.4926875643230267e-6+0.5000000066004607<0.500008735817819\n",
"revised distance squared from orbit of 10 to 9 is at most 0.500008735817819. \n",
"distance squared from orbit of 10 to 12 will be revised since for 10 7 12: 0.20000000193131212+0.25000000125221766<0.5000000034648143\n",
"revised distance squared from orbit of 10 to 12 is at most 0.5000000034648143. \n",
"distance squared from orbit of 10 to 12 will be revised since for 10 14 12: 3.166879682771498e-9+0.5000000000476131<0.5000000034648143\n",
"revised distance squared from orbit of 10 to 12 is at most 0.5000000015381768. \n",
"distance squared from orbit of 10 to 12 will be revised since for 10 18 12: 0.2000000044306651+0.2500000000000241<0.5000000015381768\n",
"revised distance squared from orbit of 10 to 12 is at most 0.5000000015381768. \n",
"distance squared from orbit of 10 to 17 will be revised since for 10 7 17: 0.20000000193131212+0.2500000219079454<0.500000000110703\n",
"revised distance squared from orbit of 10 to 17 is at most 0.500000000110703. \n",
"distance squared from orbit of 10 to 17 will be revised since for 10 13 17: 0.16666692222156987+0.25000222558417234<0.500000000110703\n",
"revised distance squared from orbit of 10 to 17 is at most 0.500000000110703. \n",
"distance squared from orbit of 10 to 17 will be revised since for 10 18 17: 0.2000000044306651+0.25000000011543866<0.500000000110703\n",
"revised distance squared from orbit of 10 to 17 is at most 0.500000000110703. \n",
"distance squared from orbit of 10 to 17 will be revised since for 10 20 17: 0.16666675071518042+0.2500000000111853<0.500000000110703\n",
"revised distance squared from orbit of 10 to 17 is at most 0.500000000110703. \n",
"distance squared from orbit of 10 to 18 will be revised since for 10 7 18: 0.20000000193131212+2.193316703531932e-9<0.2000000044306651\n",
"revised distance squared from orbit of 10 to 18 is at most 0.2000000044306651. \n",
"distance squared from orbit of 10 to 18 will be revised since for 10 14 18: 3.166879682771498e-9+0.20000000003896987<0.2000000044306651\n",
"revised distance squared from orbit of 10 to 18 is at most 0.2000000020696252. \n",
"distance squared from orbit of 10 to 20 will be revised since for 10 14 20: 3.166879682771498e-9+0.16666672233287752<0.16666675071518042\n",
"revised distance squared from orbit of 10 to 20 is at most 0.16666674902116996. \n",
"distance squared from orbit of 10 to 20 will be revised since for 10 21 20: 2.8536567690080824e-9+0.16666671552771367<0.16666674902116996\n",
"revised distance squared from orbit of 10 to 20 is at most 0.16666671487562956. \n",
"distance squared from orbit of 10 to 22 will be revised since for 10 15 22: 2.4926875643230267e-6+3.2139880044953293e-9<1.1516081427402227e-5\n",
"revised distance squared from orbit of 10 to 22 is at most 1.1516081427402227e-5. \n",
"distance squared from orbit of 10 to 23 will be revised since for 10 14 23: 3.166879682771498e-9+6.018944844387001e-8<2.404312232611709e-7\n",
"revised distance squared from orbit of 10 to 23 is at most 7.278334152476215e-8. \n",
"distance squared from orbit of 10 to 23 will be revised since for 10 21 23: 2.8536567690080824e-9+5.9041243580436216e-8<7.278334152476215e-8\n",
"revised distance squared from orbit of 10 to 23 is at most 7.278334152476215e-8. \n",
"\n",
"distance squared from orbit of 11 to 6 will be revised since for 11 7 6: 0.20000000566625722+0.33333343585878794<0.5993389780077931\n",
"revised distance squared from orbit of 11 to 6 is at most 0.5993389780077931. \n",
"distance squared from orbit of 11 to 6 will be revised since for 11 13 6: 0.16666666733610536+0.33333479295855734<0.5993389780077931\n",
"revised distance squared from orbit of 11 to 6 is at most 0.5993389780077931. \n",
"distance squared from orbit of 11 to 6 will be revised since for 11 18 6: 0.20000021231924314+0.33333333472725574<0.5993389780077931\n",
"revised distance squared from orbit of 11 to 6 is at most 0.5993389780077931. \n",
"distance squared from orbit of 11 to 6 will be revised since for 11 20 6: 0.1666666734862594+0.3333333333340647<0.5993389780077931\n",
"revised distance squared from orbit of 11 to 6 is at most 0.5993389780077931. \n",
"distance squared from orbit of 11 to 9 will be revised since for 11 3 9: 0.5000000052961144+1.9722253868198597e-8<0.5435113756148318\n",
"revised distance squared from orbit of 11 to 9 is at most 0.5435113756148318. \n",
"distance squared from orbit of 11 to 10 will be revised since for 11 4 10: 0.33333333378829355+2.634810415920225e-10<0.33333333418373495\n",
"revised distance squared from orbit of 11 to 10 is at most 0.33333333418373495. \n",
"distance squared from orbit of 11 to 12 will be revised since for 11 7 12: 0.20000000566625722+0.25000000125221766<0.500000000000178\n",
"revised distance squared from orbit of 11 to 12 is at most 0.500000000000178. \n",
"distance squared from orbit of 11 to 12 will be revised since for 11 18 12: 0.20000021231924314+0.2500000000000241<0.500000000000178\n",
"revised distance squared from orbit of 11 to 12 is at most 0.500000000000178. \n",
"distance squared from orbit of 11 to 17 will be revised since for 11 7 17: 0.20000000566625722+0.2500000219079454<0.5000000001313495\n",
"revised distance squared from orbit of 11 to 17 is at most 0.5000000001313495. \n",
"distance squared from orbit of 11 to 17 will be revised since for 11 12 17: 0.500000000000178+8.760249092091713e-12<0.5000000001313495\n",
"revised distance squared from orbit of 11 to 17 is at most 0.5000000001313495. \n",
"distance squared from orbit of 11 to 17 will be revised since for 11 13 17: 0.16666666733610536+0.25000222558417234<0.5000000001313495\n",
"revised distance squared from orbit of 11 to 17 is at most 0.5000000001313495. \n",
"distance squared from orbit of 11 to 17 will be revised since for 11 18 17: 0.20000021231924314+0.25000000011543866<0.5000000001313495\n",
"revised distance squared from orbit of 11 to 17 is at most 0.5000000001313495. \n",
"distance squared from orbit of 11 to 17 will be revised since for 11 20 17: 0.1666666734862594+0.2500000000111853<0.5000000001313495\n",
"revised distance squared from orbit of 11 to 17 is at most 0.5000000001313495. \n",
"distance squared from orbit of 11 to 18 will be revised since for 11 7 18: 0.20000000566625722+2.193316703531932e-9<0.20000021231924314\n",
"revised distance squared from orbit of 11 to 18 is at most 0.20000007350329124. \n",
"distance squared from orbit of 11 to 18 will be revised since for 11 14 18: 7.986329472594663e-9+0.20000000003896987<0.20000007350329124\n",
"revised distance squared from orbit of 11 to 18 is at most 0.20000007350329124. \n",
"distance squared from orbit of 11 to 18 will be revised since for 11 19 18: 3.5597700168491997e-9+0.2000000005431086<0.20000007350329124\n",
"revised distance squared from orbit of 11 to 18 is at most 0.20000007350329124. \n",
"distance squared from orbit of 11 to 20 will be revised since for 11 19 20: 3.5597700168491997e-9+0.1666666670628261<0.1666666734862594\n",
"revised distance squared from orbit of 11 to 20 is at most 0.16666666808229358. \n",
"distance squared from orbit of 11 to 21 will be revised since for 11 14 21: 7.986329472594663e-9+7.175515286882254e-9<2.9397122090028105e-7\n",
"revised distance squared from orbit of 11 to 21 is at most 2.9397122090028105e-7. \n",
"distance squared from orbit of 11 to 21 will be revised since for 11 19 21: 3.5597700168491997e-9+1.6158962806054044e-7<2.9397122090028105e-7\n",
"revised distance squared from orbit of 11 to 21 is at most 2.9397122090028105e-7. \n",
"distance squared from orbit of 11 to 22 will be revised since for 11 4 22: 0.33333333378829355+1.0790470231772205e-5<0.4328053960685582\n",
"revised distance squared from orbit of 11 to 22 is at most 0.4328053960685582. \n",
"distance squared from orbit of 11 to 22 will be revised since for 11 10 22: 0.33333333418373495+1.1516081427402227e-5<0.4328053960685582\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 11 to 22 is at most 0.4328053960685582. \n",
"distance squared from orbit of 11 to 22 will be revised since for 11 15 22: 0.32607687470221536+3.2139880044953293e-9<0.4328053960685582\n",
"revised distance squared from orbit of 11 to 22 is at most 0.4328053960685582. \n",
"distance squared from orbit of 11 to 22 will be revised since for 11 16 22: 0.25000000000178835+3.2748047952444684e-8<0.4328053960685582\n",
"revised distance squared from orbit of 11 to 22 is at most 0.4328053960685582. \n",
"distance squared from orbit of 11 to 23 will be revised since for 11 14 23: 7.986329472594663e-9+6.018944844387001e-8<7.943344658403435e-7\n",
"revised distance squared from orbit of 11 to 23 is at most 7.943344658403435e-7. \n",
"distance squared from orbit of 11 to 23 will be revised since for 11 19 23: 3.5597700168491997e-9+2.919540786442655e-10<7.943344658403435e-7\n",
"revised distance squared from orbit of 11 to 23 is at most 1.5833516128200079e-9. \n",
"\n",
"distance squared from orbit of 12 to 3 will be revised since for 12 6 3: 0.33333333334512516+0.6473671297286967<1.000000000000187\n",
"revised distance squared from orbit of 12 to 3 is at most 1.000000000000187. \n",
"distance squared from orbit of 12 to 3 will be revised since for 12 8 3: 0.5000000000001029+0.5000000000000809<1.000000000000187\n",
"revised distance squared from orbit of 12 to 3 is at most 1.0000000000000844. \n",
"distance squared from orbit of 12 to 6 will be revised since for 12 17 6: 8.760249092091713e-12+0.33333333333336546<0.33333333334512516\n",
"revised distance squared from orbit of 12 to 6 is at most 0.3333333333350926. \n",
"distance squared from orbit of 12 to 9 will be revised since for 12 6 9: 0.3333333333350926+0.6594466049442754<1.000000000002275\n",
"revised distance squared from orbit of 12 to 9 is at most 1.000000000002275. \n",
"distance squared from orbit of 12 to 9 will be revised since for 12 13 9: 0.33333360217118535+0.6623028564489924<1.000000000002275\n",
"revised distance squared from orbit of 12 to 9 is at most 1.000000000002275. \n",
"distance squared from orbit of 12 to 10 will be revised since for 12 17 10: 8.760249092091713e-12+0.500000053400999<0.5000001355188998\n",
"revised distance squared from orbit of 12 to 10 is at most 0.5000000544162753. \n",
"distance squared from orbit of 12 to 11 will be revised since for 12 17 11: 8.760249092091713e-12+0.9791666666669094<0.9791666666857418\n",
"revised distance squared from orbit of 12 to 11 is at most 0.9791666666695912. \n",
"distance squared from orbit of 12 to 14 will be revised since for 12 2 14: 0.5000000000047347+4.907547612472421e-9<0.5000000489300597\n",
"revised distance squared from orbit of 12 to 14 is at most 0.5000000489300597. \n",
"distance squared from orbit of 12 to 14 will be revised since for 12 8 14: 0.5000000000001029+4.723764181146227e-9<0.5000000489300597\n",
"revised distance squared from orbit of 12 to 14 is at most 0.5000000489300597. \n",
"distance squared from orbit of 12 to 15 will be revised since for 12 10 15: 0.5000000544162753+2.4926875643230267e-6<0.6458333580662908\n",
"revised distance squared from orbit of 12 to 15 is at most 0.6458333580662908. \n",
"distance squared from orbit of 12 to 16 will be revised since for 12 17 16: 8.760249092091713e-12+0.875000000000072<0.8750000000511565\n",
"revised distance squared from orbit of 12 to 16 is at most 0.8750000000066926. \n",
"distance squared from orbit of 12 to 19 will be revised since for 12 6 19: 0.3333333333350926+5.1325540254316486e-9<0.3333338804430743\n",
"revised distance squared from orbit of 12 to 19 is at most 0.3333338804430743. \n",
"distance squared from orbit of 12 to 19 will be revised since for 12 13 19: 0.33333360217118535+1.706101532821378e-7<0.3333338804430743\n",
"revised distance squared from orbit of 12 to 19 is at most 0.3333338804430743. \n",
"distance squared from orbit of 12 to 19 will be revised since for 12 17 19: 8.760249092091713e-12+0.3333335283415205<0.3333338804430743\n",
"revised distance squared from orbit of 12 to 19 is at most 0.3333335284005497. \n",
"distance squared from orbit of 12 to 19 will be revised since for 12 21 19: 9.266357992818519e-8+0.333333333849954<0.3333335284005497\n",
"revised distance squared from orbit of 12 to 19 is at most 0.3333335284005497. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 4 22: 0.6666667022057142+1.0790470231772205e-5<0.8750009265421119\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750009265421119. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 10 22: 0.5000000544162753+1.1516081427402227e-5<0.8750009265421119\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750009265421119. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 15 22: 0.6458333580662908+3.2139880044953293e-9<0.8750009265421119\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750009265421119. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 16 22: 0.8750000000066926+3.2748047952444684e-8<0.8750009265421119\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750009265421119. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 17 22: 8.760249092091713e-12+0.8750000777078595<0.8750009265421119\n",
"revised distance squared from orbit of 12 to 22 is at most 0.8750000792974852. \n",
"distance squared from orbit of 12 to 23 will be revised since for 12 17 23: 8.760249092091713e-12+2.9422981103079553e-7<4.4434345685845287e-7\n",
"revised distance squared from orbit of 12 to 23 is at most 3.087718973885913e-7. \n",
"distance squared from orbit of 12 to 23 will be revised since for 12 21 23: 9.266357992818519e-8+5.9041243580436216e-8<3.087718973885913e-7\n",
"revised distance squared from orbit of 12 to 23 is at most 3.087718973885913e-7. \n",
"\n",
"distance squared from orbit of 13 to 1 will be revised since for 13 8 1: 0.4873226940802534+0.5000000000000103<1.000000008218128\n",
"revised distance squared from orbit of 13 to 1 is at most 1.000000008218128. \n",
"distance squared from orbit of 13 to 1 will be revised since for 13 23 1: 7.185035027392841e-9+1.000000000000007<1.000000008218128\n",
"revised distance squared from orbit of 13 to 1 is at most 1.000000001476057. \n",
"distance squared from orbit of 13 to 6 will be revised since for 13 20 6: 7.710790158074996e-8+0.3333333333340647<0.33333479295855734\n",
"revised distance squared from orbit of 13 to 6 is at most 0.33333479295855734. \n",
"distance squared from orbit of 13 to 12 will be revised since for 13 18 12: 0.20000001566882905+0.2500000000000241<0.5000000084964146\n",
"revised distance squared from orbit of 13 to 12 is at most 0.5000000084964146. \n",
"distance squared from orbit of 13 to 14 will be revised since for 13 4 14: 0.5000000310595044+1.4939695369962261e-9<0.5000000633860121\n",
"revised distance squared from orbit of 13 to 14 is at most 0.5000000633860121. \n",
"distance squared from orbit of 13 to 14 will be revised since for 13 8 14: 0.4873226940802534+4.723764181146227e-9<0.5000000633860121\n",
"revised distance squared from orbit of 13 to 14 is at most 0.5000000633860121. \n",
"distance squared from orbit of 13 to 14 will be revised since for 13 10 14: 0.45873414044733485+3.166879682771498e-9<0.5000000633860121\n",
"revised distance squared from orbit of 13 to 14 is at most 0.5000000633860121. \n",
"distance squared from orbit of 13 to 14 will be revised since for 13 21 14: 2.7083759575971507e-8+0.5000000000000312<0.5000000633860121\n",
"revised distance squared from orbit of 13 to 14 is at most 0.5000000034244202. \n",
"distance squared from orbit of 13 to 17 will be revised since for 13 20 17: 7.710790158074996e-8+0.2500000000111853<0.25000222558417234\n",
"revised distance squared from orbit of 13 to 17 is at most 0.25000222558417234. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 4 22: 0.5000000310595044+1.0790470231772205e-5<0.6752404799788442\n",
"revised distance squared from orbit of 13 to 22 is at most 0.6752404799788442. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 9 22: 0.6623028564489924+3.3955921498699066e-8<0.6752404799788442\n",
"revised distance squared from orbit of 13 to 22 is at most 0.6752404799788442. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 10 22: 0.45873414044733485+1.1516081427402227e-5<0.6752404799788442\n",
"revised distance squared from orbit of 13 to 22 is at most 0.6752404799788442. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 15 22: 0.41499728953581444+3.2139880044953293e-9<0.6752404799788442\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 13 to 22 is at most 0.6752404799788442. \n",
"\n",
"distance squared from orbit of 14 to 6 will be revised since for 14 7 6: 0.2000000000000981+0.33333343585878794<0.6273220037501102\n",
"revised distance squared from orbit of 14 to 6 is at most 0.6273220037501102. \n",
"distance squared from orbit of 14 to 6 will be revised since for 14 13 6: 0.16666950126734462+0.33333479295855734<0.6273220037501102\n",
"revised distance squared from orbit of 14 to 6 is at most 0.6273220037501102. \n",
"distance squared from orbit of 14 to 6 will be revised since for 14 18 6: 0.20000000003896987+0.33333333472725574<0.6273220037501102\n",
"revised distance squared from orbit of 14 to 6 is at most 0.6273220037501102. \n",
"distance squared from orbit of 14 to 6 will be revised since for 14 20 6: 0.16666672233287752+0.3333333333340647<0.6273220037501102\n",
"revised distance squared from orbit of 14 to 6 is at most 0.6273220037501102. \n",
"distance squared from orbit of 14 to 9 will be revised since for 14 3 9: 0.5000000000000376+1.9722253868198597e-8<0.5960617835137192\n",
"revised distance squared from orbit of 14 to 9 is at most 0.5960617835137192. \n",
"distance squared from orbit of 14 to 12 will be revised since for 14 7 12: 0.2000000000000981+0.25000000125221766<0.5000000000476131\n",
"revised distance squared from orbit of 14 to 12 is at most 0.5000000000476131. \n",
"distance squared from orbit of 14 to 12 will be revised since for 14 18 12: 0.20000000003896987+0.2500000000000241<0.5000000000476131\n",
"revised distance squared from orbit of 14 to 12 is at most 0.5000000000476131. \n",
"distance squared from orbit of 14 to 17 will be revised since for 14 7 17: 0.2000000000000981+0.2500000219079454<0.5000000000000202\n",
"revised distance squared from orbit of 14 to 17 is at most 0.5000000000000202. \n",
"distance squared from orbit of 14 to 17 will be revised since for 14 13 17: 0.16666950126734462+0.25000222558417234<0.5000000000000202\n",
"revised distance squared from orbit of 14 to 17 is at most 0.5000000000000202. \n",
"distance squared from orbit of 14 to 17 will be revised since for 14 18 17: 0.20000000003896987+0.25000000011543866<0.5000000000000202\n",
"revised distance squared from orbit of 14 to 17 is at most 0.5000000000000202. \n",
"distance squared from orbit of 14 to 17 will be revised since for 14 20 17: 0.16666672233287752+0.2500000000111853<0.5000000000000202\n",
"revised distance squared from orbit of 14 to 17 is at most 0.5000000000000202. \n",
"distance squared from orbit of 14 to 22 will be revised since for 14 4 22: 0.33333333333337073+1.0790470231772205e-5<0.5000000000000486\n",
"revised distance squared from orbit of 14 to 22 is at most 0.5000000000000486. \n",
"distance squared from orbit of 14 to 22 will be revised since for 14 10 22: 0.3333333333336929+1.1516081427402227e-5<0.5000000000000486\n",
"revised distance squared from orbit of 14 to 22 is at most 0.5000000000000486. \n",
"distance squared from orbit of 14 to 22 will be revised since for 14 15 22: 0.3260768737169596+3.2139880044953293e-9<0.5000000000000486\n",
"revised distance squared from orbit of 14 to 22 is at most 0.5000000000000486. \n",
"\n",
"distance squared from orbit of 15 to 2 will be revised since for 15 21 2: 2.8525644519544194e-9+0.6666666666668465<0.6666666698198407\n",
"revised distance squared from orbit of 15 to 2 is at most 0.6666666698198407. \n",
"distance squared from orbit of 15 to 3 will be revised since for 15 10 3: 0.208333333333367+0.5000000011257961<0.8075499102702888\n",
"revised distance squared from orbit of 15 to 3 is at most 0.8075499102702888. \n",
"distance squared from orbit of 15 to 6 will be revised since for 15 13 6: 0.16666876946332881+0.33333479295855734<0.6666666679178408\n",
"revised distance squared from orbit of 15 to 6 is at most 0.6666666679178408. \n",
"distance squared from orbit of 15 to 6 will be revised since for 15 18 6: 0.20000000356407002+0.33333333472725574<0.6666666679178408\n",
"revised distance squared from orbit of 15 to 6 is at most 0.6666666674962604. \n",
"distance squared from orbit of 15 to 6 will be revised since for 15 20 6: 0.16666667912499902+0.3333333333340647<0.6666666674962604\n",
"revised distance squared from orbit of 15 to 6 is at most 0.6666666674962604. \n",
"distance squared from orbit of 15 to 7 will be revised since for 15 4 7: 0.3333333333333874+0.20000000009977675<0.616666666666741\n",
"revised distance squared from orbit of 15 to 7 is at most 0.616666666666741. \n",
"distance squared from orbit of 15 to 7 will be revised since for 15 10 7: 0.208333333333367+0.20000000193131212<0.616666666666741\n",
"revised distance squared from orbit of 15 to 7 is at most 0.616666666666741. \n",
"distance squared from orbit of 15 to 8 will be revised since for 15 21 8: 2.8525644519544194e-9+0.5000000000000855<0.5000000033173423\n",
"revised distance squared from orbit of 15 to 8 is at most 0.5000000025003724. \n",
"distance squared from orbit of 15 to 9 will be revised since for 15 22 9: 3.2139880044953293e-9+0.5000000000001208<0.5000000066004607\n",
"revised distance squared from orbit of 15 to 9 is at most 0.5000000011570213. \n",
"distance squared from orbit of 15 to 11 will be revised since for 15 22 11: 3.2139880044953293e-9+0.6666666666671303<0.6666666801993986\n",
"revised distance squared from orbit of 15 to 11 is at most 0.6666666679693829. \n",
"distance squared from orbit of 15 to 12 will be revised since for 15 18 12: 0.20000000356407002+0.2500000000000241<0.5000000023319491\n",
"revised distance squared from orbit of 15 to 12 is at most 0.5000000013682033. \n",
"distance squared from orbit of 15 to 14 will be revised since for 15 4 14: 0.3333333333333874+1.4939695369962261e-9<0.41666666666676483\n",
"revised distance squared from orbit of 15 to 14 is at most 0.41666666666676483. \n",
"distance squared from orbit of 15 to 14 will be revised since for 15 10 14: 0.208333333333367+3.166879682771498e-9<0.41666666666676483\n",
"revised distance squared from orbit of 15 to 14 is at most 0.41666666666676483. \n",
"distance squared from orbit of 15 to 17 will be revised since for 15 13 17: 0.16666876946332881+0.25000222558417234<0.5000000008289308\n",
"revised distance squared from orbit of 15 to 17 is at most 0.5000000008289308. \n",
"distance squared from orbit of 15 to 17 will be revised since for 15 18 17: 0.20000000356407002+0.25000000011543866<0.5000000008289308\n",
"revised distance squared from orbit of 15 to 17 is at most 0.5000000005222656. \n",
"distance squared from orbit of 15 to 17 will be revised since for 15 20 17: 0.16666667912499902+0.2500000000111853<0.5000000005222656\n",
"revised distance squared from orbit of 15 to 17 is at most 0.5000000005222656. \n",
"distance squared from orbit of 15 to 18 will be revised since for 15 21 18: 2.8525644519544194e-9+0.20000000000003018<0.20000000356407002\n",
"revised distance squared from orbit of 15 to 18 is at most 0.20000000356407002. \n",
"distance squared from orbit of 15 to 20 will be revised since for 15 22 20: 3.2139880044953293e-9+0.16666666846581119<0.16666667912499902\n",
"revised distance squared from orbit of 15 to 20 is at most 0.16666667221855716. \n",
"distance squared from orbit of 15 to 23 will be revised since for 15 21 23: 2.8525644519544194e-9+5.9041243580436216e-8<3.4377042282758063e-7\n",
"revised distance squared from orbit of 15 to 23 is at most 9.238051766337849e-8. \n",
"distance squared from orbit of 15 to 23 will be revised since for 15 22 23: 3.2139880044953293e-9+2.0781808011397565e-8<9.238051766337849e-8\n",
"revised distance squared from orbit of 15 to 23 is at most 2.0991786143972786e-8. \n",
"\n",
"distance squared from orbit of 16 to 2 will be revised since for 16 3 2: 0.5000000000001086+0.3333333337021806<0.8888888888889416\n",
"revised distance squared from orbit of 16 to 2 is at most 0.8888888888889416. \n",
"distance squared from orbit of 16 to 2 will be revised since for 16 8 2: 0.5000000001144169+0.33333333333340853<0.8888888888889416\n",
"revised distance squared from orbit of 16 to 2 is at most 0.8888888888889416. \n",
"distance squared from orbit of 16 to 4 will be revised since for 16 10 4: 0.3750000100787866+0.16666666666675772<0.6666666666667018\n",
"revised distance squared from orbit of 16 to 4 is at most 0.6666666666667018. \n",
"distance squared from orbit of 16 to 6 will be revised since for 16 20 6: 0.16666668657583542+0.3333333333340647<0.6197265996041824\n",
"revised distance squared from orbit of 16 to 6 is at most 0.6197265996041824. \n",
"distance squared from orbit of 16 to 7 will be revised since for 16 10 7: 0.3750000100787866+0.20000000193131212<0.6000000000045379\n",
"revised distance squared from orbit of 16 to 7 is at most 0.6000000000045379. \n",
"distance squared from orbit of 16 to 7 will be revised since for 16 11 7: 0.33333333333826404+0.20000000566625722<0.6000000000045379\n",
"revised distance squared from orbit of 16 to 7 is at most 0.6000000000045379. \n",
"distance squared from orbit of 16 to 9 will be revised since for 16 3 9: 0.5000000000001086+1.9722253868198597e-8<0.5000000305460011\n",
"revised distance squared from orbit of 16 to 9 is at most 0.5000000305460011. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 6 12: 0.6197265996041824+0.250000000000005<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 7 12: 0.6000000000045379+0.25000000125221766<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 10 12: 0.3750000100787866+0.5000000015381768<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 11 12: 0.33333333333826404+0.500000000000178<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 13 12: 0.4055194377748304+0.5000000084964146<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 15 12: 0.33333334120513636+0.5000000013682033<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 18 12: 0.6000000003181641+0.2500000000000241<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 12 will be revised since for 16 19 12: 0.3333333357421066+0.5000000005201435<0.9166666666667203\n",
"revised distance squared from orbit of 16 to 12 is at most 0.9166666666667203. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 3 14: 0.5000000000001086+7.433720757201747e-9<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 7 14: 0.6000000000045379+4.250005782199664e-7<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 8 14: 0.5000000001144169+4.723764181146227e-9<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 10 14: 0.3750000100787866+3.166879682771498e-9<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 11 14: 0.33333333333826404+7.986329472594663e-9<0.6666666666794544\n",
"revised distance squared from orbit of 16 to 14 is at most 0.6666666666794544. \n",
"distance squared from orbit of 16 to 17 will be revised since for 16 20 17: 0.16666668657583542+0.2500000000111853<0.4841189103880403\n",
"revised distance squared from orbit of 16 to 17 is at most 0.4841189103880403. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 10 18: 0.3750000100787866+0.2000000020696252<0.6000000003181641\n",
"revised distance squared from orbit of 16 to 18 is at most 0.6000000003181641. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 11 18: 0.33333333333826404+0.20000007350329124<0.6000000003181641\n",
"revised distance squared from orbit of 16 to 18 is at most 0.6000000003181641. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 15 18: 0.33333334120513636+0.20000000356407002<0.6000000003181641\n",
"revised distance squared from orbit of 16 to 18 is at most 0.6000000003181641. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 19 18: 0.3333333357421066+0.2000000005431086<0.6000000003181641\n",
"revised distance squared from orbit of 16 to 18 is at most 0.6000000003181641. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 10 21: 0.3750000100787866+2.8536567690080824e-9<0.5000000247013434\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000000247013434. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 11 21: 0.33333333333826404+2.9397122090028105e-7<0.5000000247013434\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000000247013434. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 13 21: 0.4055194377748304+2.7083759575971507e-8<0.5000000247013434\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000000247013434. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 15 21: 0.33333334120513636+2.8525644519544194e-9<0.5000000247013434\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000000247013434. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 19 21: 0.3333333357421066+1.6158962806054044e-7<0.5000000247013434\n",
"revised distance squared from orbit of 16 to 21 is at most 0.5000000247013434. \n",
"distance squared from orbit of 16 to 23 will be revised since for 16 22 23: 3.2748047952444684e-8+2.0781808011397565e-8<9.921736832530353e-8\n",
"revised distance squared from orbit of 16 to 23 is at most 9.921736832530353e-8. \n",
"\n",
"distance squared from orbit of 17 to 3 will be revised since for 17 6 3: 0.33333333333336546+0.6473671297286967<1.0000000000030727\n",
"revised distance squared from orbit of 17 to 3 is at most 1.0000000000030727. \n",
"distance squared from orbit of 17 to 3 will be revised since for 17 8 3: 0.5000000000014072+0.5000000000000809<1.0000000000030727\n",
"revised distance squared from orbit of 17 to 3 is at most 1.0000000000030727. \n",
"distance squared from orbit of 17 to 4 will be revised since for 17 6 4: 0.33333333333336546+0.5000000029505434<0.833333427412764\n",
"revised distance squared from orbit of 17 to 4 is at most 0.833333427412764. \n",
"distance squared from orbit of 17 to 4 will be revised since for 17 8 4: 0.5000000000014072+0.33333333711365387<0.833333427412764\n",
"revised distance squared from orbit of 17 to 4 is at most 0.833333427412764. \n",
"distance squared from orbit of 17 to 4 will be revised since for 17 10 4: 0.500000053400999+0.16666666666675772<0.833333427412764\n",
"revised distance squared from orbit of 17 to 4 is at most 0.833333427412764. \n",
"distance squared from orbit of 17 to 5 will be revised since for 17 6 5: 0.33333333333336546+1.000000000000028<1.333333333333479\n",
"revised distance squared from orbit of 17 to 5 is at most 1.333333333333479. \n",
"distance squared from orbit of 17 to 7 will be revised since for 17 8 7: 0.5000000000014072+0.20000000000944446<0.8799795560894188\n",
"revised distance squared from orbit of 17 to 7 is at most 0.8799795560894188. \n",
"distance squared from orbit of 17 to 7 will be revised since for 17 10 7: 0.500000053400999+0.20000000193131212<0.8799795560894188\n",
"revised distance squared from orbit of 17 to 7 is at most 0.8799795560894188. \n",
"distance squared from orbit of 17 to 7 will be revised since for 17 14 7: 0.6666666666667367+0.2000000000000981<0.8799795560894188\n",
"revised distance squared from orbit of 17 to 7 is at most 0.8799795560894188. \n",
"distance squared from orbit of 17 to 9 will be revised since for 17 6 9: 0.33333333333336546+0.6594466049442754<1.0000000001914482\n",
"revised distance squared from orbit of 17 to 9 is at most 1.0000000001914482. \n",
"distance squared from orbit of 17 to 9 will be revised since for 17 13 9: 0.3333746210142735+0.6623028564489924<1.0000000001914482\n",
"revised distance squared from orbit of 17 to 9 is at most 1.0000000001914482. \n",
"distance squared from orbit of 17 to 13 will be revised since for 17 6 13: 0.33333333333336546+4.0232162407384514e-5<0.3333746210142735\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 17 to 13 is at most 0.3333746210142735. \n",
"distance squared from orbit of 17 to 13 will be revised since for 17 20 13: 3.208806178694853e-5+0.33333333333341597<0.3333746210142735\n",
"revised distance squared from orbit of 17 to 13 is at most 0.3333417818475816. \n",
"distance squared from orbit of 17 to 14 will be revised since for 17 8 14: 0.5000000000014072+4.723764181146227e-9<0.6666666666667367\n",
"revised distance squared from orbit of 17 to 14 is at most 0.6666666666667367. \n",
"distance squared from orbit of 17 to 14 will be revised since for 17 10 14: 0.500000053400999+3.166879682771498e-9<0.6666666666667367\n",
"revised distance squared from orbit of 17 to 14 is at most 0.6666666666667367. \n",
"distance squared from orbit of 17 to 15 will be revised since for 17 10 15: 0.500000053400999+2.4926875643230267e-6<0.6666669119722374\n",
"revised distance squared from orbit of 17 to 15 is at most 0.6666669119722374. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 6 18: 0.33333333333336546+0.20000002834654027<0.5615196053982421\n",
"revised distance squared from orbit of 17 to 18 is at most 0.5615196053982421. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 12 18: 0.5000000000000344+3.44827704419166e-7<0.5615196053982421\n",
"revised distance squared from orbit of 17 to 18 is at most 0.5615196053982421. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 13 18: 0.3333417818475816+0.20000001566882905<0.5615196053982421\n",
"revised distance squared from orbit of 17 to 18 is at most 0.5615196053982421. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 19 18: 0.3333335283415205+0.2000000005431086<0.5615196053982421\n",
"revised distance squared from orbit of 17 to 18 is at most 0.5615196053982421. \n",
"distance squared from orbit of 17 to 19 will be revised since for 17 6 19: 0.33333333333336546+5.1325540254316486e-9<0.3333335283415205\n",
"revised distance squared from orbit of 17 to 19 is at most 0.3333335283415205. \n",
"distance squared from orbit of 17 to 21 will be revised since for 17 6 21: 0.33333333333336546+3.0796519508902654e-6<0.5000000031745397\n",
"revised distance squared from orbit of 17 to 21 is at most 0.5000000031745397. \n",
"distance squared from orbit of 17 to 21 will be revised since for 17 13 21: 0.3333417818475816+2.7083759575971507e-8<0.5000000031745397\n",
"revised distance squared from orbit of 17 to 21 is at most 0.5000000031745397. \n",
"distance squared from orbit of 17 to 21 will be revised since for 17 19 21: 0.3333335283415205+1.6158962806054044e-7<0.5000000031745397\n",
"revised distance squared from orbit of 17 to 21 is at most 0.5000000031745397. \n",
"distance squared from orbit of 17 to 22 will be revised since for 17 4 22: 0.833333427412764+1.0790470231772205e-5<0.8750000777078595\n",
"revised distance squared from orbit of 17 to 22 is at most 0.8750000777078595. \n",
"distance squared from orbit of 17 to 22 will be revised since for 17 10 22: 0.500000053400999+1.1516081427402227e-5<0.8750000777078595\n",
"revised distance squared from orbit of 17 to 22 is at most 0.8750000777078595. \n",
"distance squared from orbit of 17 to 22 will be revised since for 17 15 22: 0.6666669119722374+3.2139880044953293e-9<0.8750000777078595\n",
"revised distance squared from orbit of 17 to 22 is at most 0.8750000777078595. \n",
"distance squared from orbit of 17 to 22 will be revised since for 17 16 22: 0.875000000000072+3.2748047952444684e-8<0.8750000777078595\n",
"revised distance squared from orbit of 17 to 22 is at most 0.8750000777078595. \n",
"\n",
"distance squared from orbit of 18 to 3 will be revised since for 18 6 3: 0.33333333472725574+0.6473671297286967<1.0000000000003078\n",
"revised distance squared from orbit of 18 to 3 is at most 1.0000000000003078. \n",
"distance squared from orbit of 18 to 9 will be revised since for 18 6 9: 0.33333333472725574+0.6594466049442754<1.0000000001150302\n",
"revised distance squared from orbit of 18 to 9 is at most 1.0000000001150302. \n",
"distance squared from orbit of 18 to 9 will be revised since for 18 13 9: 0.33334797320017423+0.6623028564489924<1.0000000001150302\n",
"revised distance squared from orbit of 18 to 9 is at most 1.0000000001150302. \n",
"distance squared from orbit of 18 to 10 will be revised since for 18 20 10: 1.2937342179550928e-5+0.5000002876722398<0.5000304905309422\n",
"revised distance squared from orbit of 18 to 10 is at most 0.5000184827123825. \n",
"distance squared from orbit of 18 to 10 will be revised since for 18 21 10: 3.32629958356056e-7+0.5000000037798733<0.5000184827123825\n",
"revised distance squared from orbit of 18 to 10 is at most 0.5000184827123825. \n",
"distance squared from orbit of 18 to 10 will be revised since for 18 23 10: 1.6728247609268585e-5+0.5000000000000316<0.5000184827123825\n",
"revised distance squared from orbit of 18 to 10 is at most 0.5000104180856833. \n",
"distance squared from orbit of 18 to 13 will be revised since for 18 20 13: 1.2937342179550928e-5+0.33333333333341597<0.33334797320017423\n",
"revised distance squared from orbit of 18 to 13 is at most 0.33333640020393235. \n",
"distance squared from orbit of 18 to 15 will be revised since for 18 10 15: 0.5000104180856833+2.4926875643230267e-6<0.6458333693693721\n",
"revised distance squared from orbit of 18 to 15 is at most 0.6458333693693721. \n",
"distance squared from orbit of 18 to 16 will be revised since for 18 21 16: 3.32629958356056e-7+0.8750000071372495<0.8750071247074017\n",
"revised distance squared from orbit of 18 to 16 is at most 0.8750071247074017. \n",
"distance squared from orbit of 18 to 17 will be revised since for 18 12 17: 0.2500000000000241+8.760249092091713e-12<0.25000000011543866\n",
"revised distance squared from orbit of 18 to 17 is at most 0.25000000011543866. \n",
"distance squared from orbit of 18 to 19 will be revised since for 18 6 19: 0.33333333472725574+5.1325540254316486e-9<0.333340491646294\n",
"revised distance squared from orbit of 18 to 19 is at most 0.333340491646294. \n",
"distance squared from orbit of 18 to 19 will be revised since for 18 13 19: 0.33333640020393235+1.706101532821378e-7<0.333340491646294\n",
"revised distance squared from orbit of 18 to 19 is at most 0.333340491646294. \n",
"distance squared from orbit of 18 to 19 will be revised since for 18 21 19: 3.32629958356056e-7+0.333333333849954<0.333340491646294\n",
"revised distance squared from orbit of 18 to 19 is at most 0.333340491646294. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 4 22: 0.6666669885616493+1.0790470231772205e-5<0.8750086548614647\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750086548614647. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 10 22: 0.5000104180856833+1.1516081427402227e-5<0.8750086548614647\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750086548614647. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 15 22: 0.6458333693693721+3.2139880044953293e-9<0.8750086548614647\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750086548614647. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 16 22: 0.8750071247074017+3.2748047952444684e-8<0.8750086548614647\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750086548614647. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 21 22: 3.32629958356056e-7+0.8750000003968952<0.8750086548614647\n",
"revised distance squared from orbit of 18 to 22 is at most 0.8750086548614647. \n",
"distance squared from orbit of 18 to 23 will be revised since for 18 20 23: 1.2937342179550928e-5+3.599959375719813e-7<1.6728247609268585e-5\n",
"revised distance squared from orbit of 18 to 23 is at most 1.6728247609268585e-5. \n",
"distance squared from orbit of 18 to 23 will be revised since for 18 21 23: 3.32629958356056e-7+5.9041243580436216e-8<1.6728247609268585e-5\n",
"revised distance squared from orbit of 18 to 23 is at most 1.6728247609268585e-5. \n",
"\n",
"distance squared from orbit of 19 to 6 will be revised since for 19 13 6: 0.1666666666690595+0.33333479295855734<0.6666666696611716\n",
"revised distance squared from orbit of 19 to 6 is at most 0.6666666696611716. \n",
"distance squared from orbit of 19 to 6 will be revised since for 19 18 6: 0.2000000005431086+0.33333333472725574<0.6666666696611716\n",
"revised distance squared from orbit of 19 to 6 is at most 0.6666666696611716. \n",
"distance squared from orbit of 19 to 6 will be revised since for 19 20 6: 0.1666666670628261+0.3333333333340647<0.6666666696611716\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 19 to 6 is at most 0.6666666696611716. \n",
"distance squared from orbit of 19 to 6 will be revised since for 19 23 6: 2.919540786442655e-10+0.6666666667440505<0.6666666696611716\n",
"revised distance squared from orbit of 19 to 6 is at most 0.6666666696611716. \n",
"distance squared from orbit of 19 to 7 will be revised since for 19 21 7: 1.6158962806054044e-7+0.6301239602446058<0.6301242851061222\n",
"revised distance squared from orbit of 19 to 7 is at most 0.6301239793587722. \n",
"distance squared from orbit of 19 to 8 will be revised since for 19 23 8: 2.919540786442655e-10+0.5000000000000896<0.5000000157604104\n",
"revised distance squared from orbit of 19 to 8 is at most 0.5000000002117881. \n",
"distance squared from orbit of 19 to 12 will be revised since for 19 18 12: 0.2000000005431086+0.2500000000000241<0.5000000005201435\n",
"revised distance squared from orbit of 19 to 12 is at most 0.5000000003553317. \n",
"distance squared from orbit of 19 to 14 will be revised since for 19 10 14: 0.4587341226348008+3.166879682771498e-9<0.5000000000668622\n",
"revised distance squared from orbit of 19 to 14 is at most 0.5000000000668622. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 12 17: 0.5000000003553317+8.760249092091713e-12<0.500000002404034\n",
"revised distance squared from orbit of 19 to 17 is at most 0.500000002404034. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 13 17: 0.1666666666690595+0.25000222558417234<0.500000002404034\n",
"revised distance squared from orbit of 19 to 17 is at most 0.500000002404034. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 18 17: 0.2000000005431086+0.25000000011543866<0.500000002404034\n",
"revised distance squared from orbit of 19 to 17 is at most 0.500000002404034. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 20 17: 0.1666666670628261+0.2500000000111853<0.500000002404034\n",
"revised distance squared from orbit of 19 to 17 is at most 0.500000002404034. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 23 17: 2.919540786442655e-10+0.5000000000000306<0.500000002404034\n",
"revised distance squared from orbit of 19 to 17 is at most 0.5000000001528135. \n",
"distance squared from orbit of 19 to 20 will be revised since for 19 23 20: 2.919540786442655e-10+0.1666666666666969<0.1666666670628261\n",
"revised distance squared from orbit of 19 to 20 is at most 0.16666666679540965. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 4 22: 0.5000000000001318+1.0790470231772205e-5<0.6752404735809004\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752404735809004. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 10 22: 0.4587341226348008+1.1516081427402227e-5<0.6752404735809004\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752404735809004. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 15 22: 0.4149972878354282+3.2139880044953293e-9<0.6752404735809004\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752404735809004. \n",
"\n",
"distance squared from orbit of 20 to 1 will be revised since for 20 8 1: 0.5000000000000204+0.5000000000000103<1.0000000000000457\n",
"revised distance squared from orbit of 20 to 1 is at most 1.0000000000000457. \n",
"distance squared from orbit of 20 to 2 will be revised since for 20 6 2: 0.3333333333340647+0.5000000000001337<0.8333333333372386\n",
"revised distance squared from orbit of 20 to 2 is at most 0.8333333333372386. \n",
"distance squared from orbit of 20 to 2 will be revised since for 20 8 2: 0.5000000000000204+0.33333333333340853<0.8333333333372386\n",
"revised distance squared from orbit of 20 to 2 is at most 0.8333333333372386. \n",
"distance squared from orbit of 20 to 3 will be revised since for 20 6 3: 0.3333333333340647+0.6473671297286967<1.000000000000541\n",
"revised distance squared from orbit of 20 to 3 is at most 1.000000000000541. \n",
"distance squared from orbit of 20 to 3 will be revised since for 20 8 3: 0.5000000000000204+0.5000000000000809<1.000000000000541\n",
"revised distance squared from orbit of 20 to 3 is at most 1.000000000000541. \n",
"distance squared from orbit of 20 to 4 will be revised since for 20 6 4: 0.3333333333340647+0.5000000029505434<0.8333333598487614\n",
"revised distance squared from orbit of 20 to 4 is at most 0.8333333598487614. \n",
"distance squared from orbit of 20 to 4 will be revised since for 20 8 4: 0.5000000000000204+0.33333333711365387<0.8333333598487614\n",
"revised distance squared from orbit of 20 to 4 is at most 0.8333333598487614. \n",
"distance squared from orbit of 20 to 4 will be revised since for 20 10 4: 0.5000002876722398+0.16666666666675772<0.8333333598487614\n",
"revised distance squared from orbit of 20 to 4 is at most 0.8333333598487614. \n",
"distance squared from orbit of 20 to 7 will be revised since for 20 8 7: 0.5000000000000204+0.20000000000944446<0.8945037156075005\n",
"revised distance squared from orbit of 20 to 7 is at most 0.8945037156075005. \n",
"distance squared from orbit of 20 to 7 will be revised since for 20 10 7: 0.5000002876722398+0.20000000193131212<0.8945037156075005\n",
"revised distance squared from orbit of 20 to 7 is at most 0.8945037156075005. \n",
"distance squared from orbit of 20 to 7 will be revised since for 20 14 7: 0.6666666666666987+0.2000000000000981<0.8945037156075005\n",
"revised distance squared from orbit of 20 to 7 is at most 0.8945037156075005. \n",
"distance squared from orbit of 20 to 9 will be revised since for 20 6 9: 0.3333333333340647+0.6594466049442754<1.0000000000745684\n",
"revised distance squared from orbit of 20 to 9 is at most 1.0000000000745684. \n",
"distance squared from orbit of 20 to 9 will be revised since for 20 13 9: 0.33333333333341597+0.6623028564489924<1.0000000000745684\n",
"revised distance squared from orbit of 20 to 9 is at most 1.0000000000745684. \n",
"distance squared from orbit of 20 to 12 will be revised since for 20 6 12: 0.3333333333340647+0.250000000000005<0.7500000000425259\n",
"revised distance squared from orbit of 20 to 12 is at most 0.7500000000425259. \n",
"distance squared from orbit of 20 to 12 will be revised since for 20 17 12: 0.2500000000111853+0.5000000000000344<0.7500000000425259\n",
"revised distance squared from orbit of 20 to 12 is at most 0.7500000000096592. \n",
"distance squared from orbit of 20 to 14 will be revised since for 20 8 14: 0.5000000000000204+4.723764181146227e-9<0.6666666666666987\n",
"revised distance squared from orbit of 20 to 14 is at most 0.6666666666666987. \n",
"distance squared from orbit of 20 to 14 will be revised since for 20 10 14: 0.5000002876722398+3.166879682771498e-9<0.6666666666666987\n",
"revised distance squared from orbit of 20 to 14 is at most 0.6666666666666987. \n",
"distance squared from orbit of 20 to 15 will be revised since for 20 10 15: 0.5000002876722398+2.4926875643230267e-6<0.6666668739366273\n",
"revised distance squared from orbit of 20 to 15 is at most 0.6666668739366273. \n",
"distance squared from orbit of 20 to 18 will be revised since for 20 6 18: 0.3333333333340647+0.20000002834654027<0.6000000000083376\n",
"revised distance squared from orbit of 20 to 18 is at most 0.6000000000083376. \n",
"distance squared from orbit of 20 to 18 will be revised since for 20 13 18: 0.33333333333341597+0.20000001566882905<0.6000000000083376\n",
"revised distance squared from orbit of 20 to 18 is at most 0.6000000000083376. \n",
"distance squared from orbit of 20 to 18 will be revised since for 20 19 18: 0.333333530256218+0.2000000005431086<0.6000000000083376\n",
"revised distance squared from orbit of 20 to 18 is at most 0.6000000000083376. \n",
"distance squared from orbit of 20 to 19 will be revised since for 20 6 19: 0.3333333333340647+5.1325540254316486e-9<0.333333530256218\n",
"revised distance squared from orbit of 20 to 19 is at most 0.333333530256218. \n",
"distance squared from orbit of 20 to 19 will be revised since for 20 13 19: 0.33333333333341597+1.706101532821378e-7<0.333333530256218\n",
"revised distance squared from orbit of 20 to 19 is at most 0.333333530256218. \n",
"distance squared from orbit of 20 to 21 will be revised since for 20 6 21: 0.3333333333340647+3.0796519508902654e-6<0.5000001070845262\n",
"revised distance squared from orbit of 20 to 21 is at most 0.5000001070845262. \n",
"distance squared from orbit of 20 to 21 will be revised since for 20 13 21: 0.33333333333341597+2.7083759575971507e-8<0.5000001070845262\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 20 to 21 is at most 0.5000001070845262. \n",
"distance squared from orbit of 20 to 21 will be revised since for 20 19 21: 0.333333530256218+1.6158962806054044e-7<0.5000001070845262\n",
"revised distance squared from orbit of 20 to 21 is at most 0.5000001070845262. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 4 22: 0.8333333598487614+1.0790470231772205e-5<0.8750001814034217\n",
"revised distance squared from orbit of 20 to 22 is at most 0.8750001814034217. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 10 22: 0.5000002876722398+1.1516081427402227e-5<0.8750001814034217\n",
"revised distance squared from orbit of 20 to 22 is at most 0.8750001814034217. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 15 22: 0.6666668739366273+3.2139880044953293e-9<0.8750001814034217\n",
"revised distance squared from orbit of 20 to 22 is at most 0.8750001814034217. \n",
"\n",
"distance squared from orbit of 21 to 6 will be revised since for 21 18 6: 0.20000000000003018+0.33333333472725574<0.6666666666672171\n",
"revised distance squared from orbit of 21 to 6 is at most 0.6666666666672171. \n",
"distance squared from orbit of 21 to 6 will be revised since for 21 20 6: 0.16666671552771367+0.3333333333340647<0.6666666666672171\n",
"revised distance squared from orbit of 21 to 6 is at most 0.6666666666672171. \n",
"distance squared from orbit of 21 to 12 will be revised since for 21 18 12: 0.20000000000003018+0.2500000000000241<0.5000000000000119\n",
"revised distance squared from orbit of 21 to 12 is at most 0.5000000000000119. \n",
"distance squared from orbit of 21 to 15 will be revised since for 21 10 15: 0.5000000037798733+2.4926875643230267e-6<0.6458333333333848\n",
"revised distance squared from orbit of 21 to 15 is at most 0.6458333333333848. \n",
"distance squared from orbit of 21 to 17 will be revised since for 21 12 17: 0.5000000000000119+8.760249092091713e-12<0.5000000005796487\n",
"revised distance squared from orbit of 21 to 17 is at most 0.5000000005796487. \n",
"distance squared from orbit of 21 to 17 will be revised since for 21 18 17: 0.20000000000003018+0.25000000011543866<0.5000000005796487\n",
"revised distance squared from orbit of 21 to 17 is at most 0.5000000005796487. \n",
"distance squared from orbit of 21 to 17 will be revised since for 21 20 17: 0.16666671552771367+0.2500000000111853<0.5000000005796487\n",
"revised distance squared from orbit of 21 to 17 is at most 0.5000000005796487. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 4 22: 0.6666666666667002+1.0790470231772205e-5<0.8750000003968952\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750000003968952. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 10 22: 0.5000000037798733+1.1516081427402227e-5<0.8750000003968952\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750000003968952. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 15 22: 0.6458333333333848+3.2139880044953293e-9<0.8750000003968952\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750000003968952. \n",
"\n",
"distance squared from orbit of 22 to 2 will be revised since for 22 8 2: 0.5000000035952726+0.33333333333340853<0.9166666839452471\n",
"revised distance squared from orbit of 22 to 2 is at most 0.9166666839452471. \n",
"distance squared from orbit of 22 to 3 will be revised since for 22 10 3: 0.37500000000008465+0.5000000011257961<0.9370994204249926\n",
"revised distance squared from orbit of 22 to 3 is at most 0.9370994204249926. \n",
"distance squared from orbit of 22 to 4 will be revised since for 22 10 4: 0.37500000000008465+0.16666666666675772<0.666666666666679\n",
"revised distance squared from orbit of 22 to 4 is at most 0.666666666666679. \n",
"distance squared from orbit of 22 to 5 will be revised since for 22 15 5: 0.33333333333338266+1.0000000000000173<1.3333333333334034\n",
"revised distance squared from orbit of 22 to 5 is at most 1.3333333333334034. \n",
"distance squared from orbit of 22 to 6 will be revised since for 22 20 6: 0.16666666846581119+0.3333333333340647<0.6666666687249999\n",
"revised distance squared from orbit of 22 to 6 is at most 0.6666666677427292. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 4 7: 0.666666666666679+0.20000000009977675<0.9321105348046365\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9321105348046365. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 8 7: 0.5000000035952726+0.20000000000944446<0.9321105348046365\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9321105348046365. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 10 7: 0.37500000000008465+0.20000000193131212<0.9321105348046365\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9321105348046365. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 11 7: 0.6666666666671303+0.20000000566625722<0.9321105348046365\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9321105348046365. \n",
"distance squared from orbit of 22 to 7 will be revised since for 22 14 7: 0.6666666676661096+0.2000000000000981<0.9321105348046365\n",
"revised distance squared from orbit of 22 to 7 is at most 0.9321105348046365. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 6 12: 0.6666666677427292+0.250000000000005<0.9500000093378514\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500000093378514. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 10 12: 0.37500000000008465+0.5000000015381768<0.9500000093378514\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500000093378514. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 13 12: 0.4406335123229996+0.5000000084964146<0.9500000093378514\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500000093378514. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 15 12: 0.33333333333338266+0.5000000013682033<0.9500000093378514\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500000093378514. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 18 12: 0.6000000145003643+0.2500000000000241<0.9500000093378514\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500000093378514. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 19 12: 0.33333333347756267+0.5000000003553317<0.9500000093378514\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500000093378514. \n",
"distance squared from orbit of 22 to 12 will be revised since for 22 20 12: 0.16666666846581119+0.7500000000096592<0.9500000093378514\n",
"revised distance squared from orbit of 22 to 12 is at most 0.9500000093378514. \n",
"distance squared from orbit of 22 to 14 will be revised since for 22 8 14: 0.5000000035952726+4.723764181146227e-9<0.6666666676661096\n",
"revised distance squared from orbit of 22 to 14 is at most 0.6666666674584547. \n",
"distance squared from orbit of 22 to 14 will be revised since for 22 10 14: 0.37500000000008465+3.166879682771498e-9<0.6666666674584547\n",
"revised distance squared from orbit of 22 to 14 is at most 0.6666666674584547. \n",
"distance squared from orbit of 22 to 17 will be revised since for 22 20 17: 0.16666666846581119+0.2500000000111853<0.5000000033224599\n",
"revised distance squared from orbit of 22 to 17 is at most 0.5000000027215986. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 10 18: 0.37500000000008465+0.2000000020696252<0.6000000145003643\n",
"revised distance squared from orbit of 22 to 18 is at most 0.6000000145003643. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 15 18: 0.33333333333338266+0.20000000356407002<0.6000000145003643\n",
"revised distance squared from orbit of 22 to 18 is at most 0.6000000145003643. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 19 18: 0.33333333347756267+0.2000000005431086<0.6000000145003643\n",
"revised distance squared from orbit of 22 to 18 is at most 0.6000000145003643. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 10 21: 0.37500000000008465+2.8536567690080824e-9<0.5000000061313583\n",
"revised distance squared from orbit of 22 to 21 is at most 0.5000000061313583. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 13 21: 0.4406335123229996+2.7083759575971507e-8<0.5000000061313583\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 22 to 21 is at most 0.5000000061313583. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 15 21: 0.33333333333338266+2.8525644519544194e-9<0.5000000061313583\n",
"revised distance squared from orbit of 22 to 21 is at most 0.5000000061313583. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 19 21: 0.33333333347756267+1.6158962806054044e-7<0.5000000061313583\n",
"revised distance squared from orbit of 22 to 21 is at most 0.5000000061313583. \n",
"\n",
"distance squared from orbit of 23 to 2 will be revised since for 23 8 2: 0.5000000000000896+0.33333333333340853<0.9166666666666813\n",
"revised distance squared from orbit of 23 to 2 is at most 0.9166666666666813. \n",
"distance squared from orbit of 23 to 4 will be revised since for 23 10 4: 0.5000000000000316+0.16666666666675772<0.8333333333333628\n",
"revised distance squared from orbit of 23 to 4 is at most 0.8333333333333628. \n",
"distance squared from orbit of 23 to 6 will be revised since for 23 20 6: 0.1666666666666969+0.3333333333340647<0.6666666667440505\n",
"revised distance squared from orbit of 23 to 6 is at most 0.6666666667134974. \n",
"distance squared from orbit of 23 to 7 will be revised since for 23 8 7: 0.5000000000000896+0.20000000000944446<0.9321105255405562\n",
"revised distance squared from orbit of 23 to 7 is at most 0.9321105255405562. \n",
"distance squared from orbit of 23 to 7 will be revised since for 23 10 7: 0.5000000000000316+0.20000000193131212<0.9321105255405562\n",
"revised distance squared from orbit of 23 to 7 is at most 0.9321105255405562. \n",
"distance squared from orbit of 23 to 7 will be revised since for 23 14 7: 0.6666666666667078+0.2000000000000981<0.9321105255405562\n",
"revised distance squared from orbit of 23 to 7 is at most 0.9321105255405562. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 6 12: 0.6666666667134974+0.250000000000005<0.9500000000002298\n",
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 13 12: 0.4406335061551001+0.5000000084964146<0.9500000000002298\n",
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 18 12: 0.6000000016317334+0.2500000000000241<0.9500000000002298\n",
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 19 12: 0.33333333333345805+0.5000000003553317<0.9500000000002298\n",
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 12 will be revised since for 23 20 12: 0.1666666666666969+0.7500000000096592<0.9500000000002298\n",
"revised distance squared from orbit of 23 to 12 is at most 0.9500000000002298. \n",
"distance squared from orbit of 23 to 14 will be revised since for 23 8 14: 0.5000000000000896+4.723764181146227e-9<0.6666666666667078\n",
"revised distance squared from orbit of 23 to 14 is at most 0.6666666666667078. \n",
"distance squared from orbit of 23 to 14 will be revised since for 23 10 14: 0.5000000000000316+3.166879682771498e-9<0.6666666666667078\n",
"revised distance squared from orbit of 23 to 14 is at most 0.6666666666667078. \n",
"distance squared from orbit of 23 to 15 will be revised since for 23 10 15: 0.5000000000000316+2.4926875643230267e-6<0.6666666666668012\n",
"revised distance squared from orbit of 23 to 15 is at most 0.6666666666668012. \n",
"distance squared from orbit of 23 to 17 will be revised since for 23 20 17: 0.1666666666666969+0.2500000000111853<0.5000000000000306\n",
"revised distance squared from orbit of 23 to 17 is at most 0.5000000000000306. \n",
"distance squared from orbit of 23 to 18 will be revised since for 23 19 18: 0.33333333333345805+0.2000000005431086<0.6000000016317334\n",
"revised distance squared from orbit of 23 to 18 is at most 0.6000000016317334. \n",
"distance squared from orbit of 23 to 21 will be revised since for 23 13 21: 0.4406335061551001+2.7083759575971507e-8<0.5000000000000612\n",
"revised distance squared from orbit of 23 to 21 is at most 0.5000000000000612. \n",
"distance squared from orbit of 23 to 21 will be revised since for 23 19 21: 0.33333333333345805+1.6158962806054044e-7<0.5000000000000612\n",
"revised distance squared from orbit of 23 to 21 is at most 0.5000000000000612. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 4 22: 0.8333333333333628+1.0790470231772205e-5<0.8750000000000243\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8750000000000243. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 10 22: 0.5000000000000316+1.1516081427402227e-5<0.8750000000000243\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8750000000000243. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 15 22: 0.6666666666668012+3.2139880044953293e-9<0.8750000000000243\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8750000000000243. \n",
"\n",
"rechecked new distance squared from orbit of 1 to 2 is at most 0.33333333333520226 old is 0.3333333333368205. \n",
"rechecked new distance squared from orbit of 1 to 3 is at most 2.7314210438901294e-11 old is 4.690370893413399e-11. \n",
"rechecked better distance squared from orbit of 1 to 4 is at most 2.4147806923170952e-9 old is 2.4176147355364287e-9. \n",
"rechecked better distance squared from orbit of 1 to 10 is at most 6.678441572840528e-9 old is 8.062977790718892e-9. \n",
"rechecked better distance squared from orbit of 1 to 13 is at most 7.448135558873593e-6 old is 7.892373788358198e-6. \n",
"rechecked better distance squared from orbit of 1 to 14 is at most 1.8179286182097718e-6 old is 1.9503111558031707e-6. \n",
"rechecked better distance squared from orbit of 1 to 15 is at most 3.969689036976099e-7 old is 3.969727729320734e-7. \n",
"rechecked better distance squared from orbit of 1 to 17 is at most 0.2507696728878357 old is 0.2507736403149217. \n",
"rechecked better distance squared from orbit of 1 to 21 is at most 5.61211412387732e-7 old is 9.243756284948837e-7. \n",
"rechecked better distance squared from orbit of 1 to 22 is at most 2.2282765611965834e-9 old is 2.2282859400903075e-9. \n",
"rechecked better distance squared from orbit of 1 to 23 is at most 1.0982109135694327e-6 old is 1.098259799409727e-6. \n",
"rechecked better distance squared from orbit of 2 to 6 is at most 5.577394125280622e-8 old is 8.28924211033605e-8. \n",
"rechecked better distance squared from orbit of 2 to 8 is at most 1.966624898937996e-8 old is 1.0409027038785674e-7. \n",
"rechecked better distance squared from orbit of 2 to 13 is at most 2.7662802155507305e-5 old is 2.7662937667134124e-5. \n",
"rechecked better distance squared from orbit of 2 to 14 is at most 4.907517112142354e-9 old is 4.907547612472421e-9. \n",
"rechecked better distance squared from orbit of 2 to 15 is at most 0.32607687594584733 old is 0.326076877099649. \n",
"rechecked better distance squared from orbit of 2 to 18 is at most 1.671426098787387e-7 old is 4.0320886287048636e-7. \n",
"rechecked better distance squared from orbit of 2 to 20 is at most 1.4172158016590068e-5 old is 1.417249468891884e-5. \n",
"rechecked better distance squared from orbit of 2 to 21 is at most 1.947592630285994e-7 old is 1.9810642795323267e-7. \n",
"rechecked better distance squared from orbit of 2 to 22 is at most 0.5000000022792529 old is 0.5000000028194399. \n",
"rechecked better distance squared from orbit of 2 to 23 is at most 2.4557808469185594e-6 old is 2.457295531960824e-6. \n",
"rechecked better distance squared from orbit of 3 to 4 is at most 0.16666666962845383 old is 0.16666666984962883. \n",
"rechecked better distance squared from orbit of 3 to 9 is at most 1.800257987474434e-8 old is 1.9722253868198597e-8. \n",
"rechecked better distance squared from orbit of 3 to 10 is at most 5.173480749241928e-9 old is 5.173509552772859e-9. \n",
"rechecked better distance squared from orbit of 3 to 13 is at most 4.360071424365338e-6 old is 4.360071481425021e-6. \n",
"rechecked better distance squared from orbit of 3 to 14 is at most 7.350540857219997e-9 old is 7.433720757201747e-9. \n",
"rechecked better distance squared from orbit of 3 to 17 is at most 0.25011119980551566 old is 0.2501277599504826. \n",
"rechecked better distance squared from orbit of 3 to 20 is at most 2.422901958007077e-5 old is 2.4229019580073522e-5. \n",
"rechecked better distance squared from orbit of 3 to 21 is at most 1.1912938308354424e-7 old is 3.9919190211964444e-7. \n",
"rechecked better distance squared from orbit of 3 to 22 is at most 4.839566023576752e-8 old is 4.850924697629413e-8. \n",
"rechecked better distance squared from orbit of 3 to 23 is at most 2.046782754479001e-8 old is 2.0467835325922772e-8. \n",
"rechecked new distance squared from orbit of 4 to 4 is at most 3.31565485445439e-13 old is 6.178997771670391e-13. \n",
"rechecked new distance squared from orbit of 4 to 5 is at most 1.0000000000000164 old is 1.0000000000002869. \n",
"rechecked better distance squared from orbit of 4 to 6 is at most 0.6273220062474058 old is 0.627322006247406. \n",
"rechecked better distance squared from orbit of 4 to 7 is at most 0.20000000009971827 old is 0.20000000009977675. \n",
"rechecked better distance squared from orbit of 4 to 9 is at most 0.5000082783628345 old is 0.5000082957648556. \n",
"rechecked better distance squared from orbit of 4 to 10 is at most 1.4525405527293937e-10 old is 2.634810415920225e-10. \n",
"rechecked better distance squared from orbit of 4 to 11 is at most 0.666669392204448 old is 0.6666721605058392. \n",
"rechecked better distance squared from orbit of 4 to 13 is at most 0.16666674538717807 old is 0.16666680834971478. \n",
"rechecked better distance squared from orbit of 4 to 14 is at most 1.4028625986901122e-9 old is 1.4939695369962261e-9. \n",
"rechecked better distance squared from orbit of 4 to 15 is at most 9.245743975141394e-8 old is 9.658139519202517e-8. \n",
"rechecked better distance squared from orbit of 4 to 16 is at most 0.5000023184919129 old is 0.5000039173641811. \n",
"rechecked better distance squared from orbit of 4 to 19 is at most 1.1309432810376179e-7 old is 5.488903531577799e-7. \n",
"rechecked better distance squared from orbit of 4 to 20 is at most 0.1666667117862243 old is 0.16666671178657796. \n",
"rechecked better distance squared from orbit of 4 to 22 is at most 1.0786707253793806e-5 old is 1.0790470231772205e-5. \n",
"rechecked better distance squared from orbit of 5 to 1 is at most 0.9770023115309865 old is 0.9770023791960686. \n",
"rechecked better distance squared from orbit of 5 to 2 is at most 0.6666667021044255 old is 0.6666667023615069. \n",
"rechecked new distance squared from orbit of 5 to 5 is at most 4.269277570504112e-14 old is 5.554355843806013e-13. \n",
"rechecked better distance squared from orbit of 5 to 6 is at most 0.599339673253565 old is 0.5993396901766623. \n",
"rechecked better distance squared from orbit of 5 to 11 is at most 3.6468838386133313e-6 old is 5.3610867906407185e-6. \n",
"rechecked better distance squared from orbit of 5 to 13 is at most 0.16666791882515983 old is 0.16666798255243095. \n",
"rechecked better distance squared from orbit of 5 to 16 is at most 0.25000000360878805 old is 0.2500000047033173. \n",
"rechecked better distance squared from orbit of 5 to 18 is at most 0.2000000012197644 old is 0.20000000122053582. \n",
"rechecked better distance squared from orbit of 5 to 19 is at most 1.6229664288177732e-6 old is 1.7374351718086601e-6. \n",
"rechecked better distance squared from orbit of 5 to 20 is at most 0.16666709753269773 old is 0.16666709966791407. \n",
"rechecked better distance squared from orbit of 5 to 22 is at most 0.43280591560191733 old is 0.4328059301538463. \n",
"rechecked better distance squared from orbit of 6 to 4 is at most 0.5000000029504963 old is 0.5000000029505434. \n",
"rechecked better distance squared from orbit of 6 to 10 is at most 0.45873412464857466 old is 0.4587341246485763. \n",
"rechecked better distance squared from orbit of 6 to 13 is at most 3.589539782266763e-5 old is 4.0232162407384514e-5. \n",
"rechecked better distance squared from orbit of 6 to 15 is at most 0.41499729109128175 old is 0.41499729109128347. \n",
"rechecked new distance squared from orbit of 6 to 19 is at most 4.266142414167917e-9 old is 5.1325540254316486e-9. \n",
"rechecked better distance squared from orbit of 6 to 19 is at most 3.6569577167701624e-9 old is 4.266142414167917e-9. \n",
"rechecked better distance squared from orbit of 6 to 20 is at most 8.722253156610595e-5 old is 0.0001060795358567711. \n",
"rechecked better distance squared from orbit of 6 to 23 is at most 1.7487714564731587e-7 old is 4.3292749978242565e-7. \n",
"rechecked new distance squared from orbit of 7 to 3 is at most 0.5000000000031071 old is 0.5000000000070979. \n",
"rechecked better distance squared from orbit of 7 to 4 is at most 0.33333334802803244 old is 0.3333333698288172. \n",
"rechecked better distance squared from orbit of 7 to 5 is at most 1.0000000428236513 old is 1.0000000535677855. \n",
"rechecked better distance squared from orbit of 7 to 6 is at most 0.3333333662061935 old is 0.33333343585878794. \n",
"rechecked better distance squared from orbit of 7 to 8 is at most 0.487323074523461 old is 0.48732316407078213. \n",
"rechecked better distance squared from orbit of 7 to 13 is at most 5.619195834595338e-5 old is 6.661187614262568e-5. \n",
"rechecked better distance squared from orbit of 7 to 14 is at most 3.47322521785142e-7 old is 4.250005782199664e-7. \n",
"rechecked better distance squared from orbit of 7 to 15 is at most 0.3260768817664231 old is 0.3260768903594441. \n",
"rechecked better distance squared from orbit of 7 to 17 is at most 0.25000001851816833 old is 0.2500000219079454. \n",
"rechecked better distance squared from orbit of 7 to 19 is at most 0.00041280036521289 old is 0.0005302642529887246. \n",
"rechecked better distance squared from orbit of 7 to 20 is at most 1.1245917695699978e-5 old is 1.2430864213104924e-5. \n",
"rechecked better distance squared from orbit of 7 to 21 is at most 8.310536279409827e-9 old is 1.07366489337324e-8. \n",
"rechecked better distance squared from orbit of 7 to 22 is at most 0.5000000539547463 old is 0.5000001057114242. \n",
"rechecked better distance squared from orbit of 8 to 5 is at most 1.0000000020456765 old is 1.0000000043606199. \n",
"rechecked new distance squared from orbit of 8 to 6 is at most 0.3333333333389104 old is 0.33333333334176934. \n",
"rechecked new distance squared from orbit of 8 to 8 is at most 6.831783804321579e-14 old is 3.1292942660853836e-13. \n",
"rechecked better distance squared from orbit of 8 to 10 is at most 0.33333333478398225 old is 0.33333333510279833. \n",
"rechecked new distance squared from orbit of 8 to 12 is at most 0.5000000000032613 old is 0.5000000000051011. \n",
"rechecked better distance squared from orbit of 8 to 13 is at most 2.630324208350005e-5 old is 2.7720720658722173e-5. \n",
"rechecked better distance squared from orbit of 8 to 14 is at most 3.800495449324395e-9 old is 4.723764181146227e-9. \n",
"rechecked better distance squared from orbit of 8 to 15 is at most 0.32607687905843236 old is 0.32607687912571637. \n",
"rechecked better distance squared from orbit of 8 to 17 is at most 0.2503090626114378 old is 0.2503093827213933. \n",
"rechecked better distance squared from orbit of 8 to 19 is at most 4.454292429989167e-5 old is 4.454481017191511e-5. \n",
"rechecked better distance squared from orbit of 8 to 22 is at most 0.500000002796822 old is 0.5000000027968222. \n",
"rechecked better distance squared from orbit of 8 to 23 is at most 1.6910205678601163e-7 old is 1.4197910266484361e-6. \n",
"rechecked better distance squared from orbit of 9 to 4 is at most 0.3333333353648522 old is 0.3333333353648525. \n",
"rechecked better distance squared from orbit of 9 to 6 is at most 0.3333452210997207 old is 0.33336822786304715. \n",
"rechecked better distance squared from orbit of 9 to 7 is at most 0.6000017942928104 old is 0.600004213879696. \n",
"rechecked better distance squared from orbit of 9 to 8 is at most 0.4475311063894121 old is 0.44753157273572397. \n",
"rechecked better distance squared from orbit of 9 to 10 is at most 0.20833333898512463 old is 0.20833333898512482. \n",
"rechecked better distance squared from orbit of 9 to 12 is at most 0.5000011589012874 old is 0.5000015936665931. \n",
"rechecked better distance squared from orbit of 9 to 13 is at most 3.9091374770947404e-7 old is 1.0623115939692935e-6. \n",
"rechecked better distance squared from orbit of 9 to 14 is at most 0.33334917797277996 old is 0.3333553056125684. \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"rechecked better distance squared from orbit of 9 to 15 is at most 4.668014922252196e-9 old is 3.272011150594233e-8. \n",
"rechecked better distance squared from orbit of 9 to 17 is at most 0.2500363623651248 old is 0.2500528946323266. \n",
"rechecked better distance squared from orbit of 9 to 22 is at most 3.295409203774916e-8 old is 3.3955921498699066e-8. \n",
"rechecked better distance squared from orbit of 9 to 23 is at most 2.502856109910413e-8 old is 2.502856284379666e-8. \n",
"rechecked new distance squared from orbit of 10 to 1 is at most 1.0000000000000493 old is 1.0000000000007483. \n",
"rechecked better distance squared from orbit of 10 to 2 is at most 0.6666666671008369 old is 0.6666666671008371. \n",
"rechecked better distance squared from orbit of 10 to 3 is at most 0.5000000011202032 old is 0.5000000011257961. \n",
"rechecked better distance squared from orbit of 10 to 9 is at most 0.50000648619468 old is 0.500008735817819. \n",
"rechecked better distance squared from orbit of 10 to 12 is at most 0.500000001492129 old is 0.5000000015381768. \n",
"rechecked better distance squared from orbit of 10 to 14 is at most 9.017673424157965e-10 old is 3.166879682771498e-9. \n",
"rechecked better distance squared from orbit of 10 to 15 is at most 1.6525197360559062e-6 old is 2.4926875643230267e-6. \n",
"rechecked better distance squared from orbit of 10 to 16 is at most 0.5000000015321814 old is 0.5000000035035752. \n",
"rechecked better distance squared from orbit of 10 to 19 is at most 1.0103161300368236e-6 old is 1.1182321965368853e-6. \n",
"rechecked better distance squared from orbit of 10 to 20 is at most 0.16666671477345624 old is 0.16666671487562956. \n",
"rechecked better distance squared from orbit of 10 to 21 is at most 2.6272551537721396e-9 old is 2.8536567690080824e-9. \n",
"rechecked better distance squared from orbit of 10 to 22 is at most 8.46383059277098e-6 old is 1.1516081427402227e-5. \n",
"rechecked better distance squared from orbit of 10 to 23 is at most 7.277576951955456e-8 old is 7.278334152476215e-8. \n",
"rechecked better distance squared from orbit of 11 to 7 is at most 0.20000000566625187 old is 0.20000000566625722. \n",
"rechecked better distance squared from orbit of 11 to 8 is at most 0.5000000000138505 old is 0.5000000000144402. \n",
"rechecked new distance squared from orbit of 11 to 9 is at most 0.5435113756143579 old is 0.5435113756148318. \n",
"rechecked better distance squared from orbit of 11 to 13 is at most 0.16666666733488258 old is 0.16666666733610536. \n",
"rechecked better distance squared from orbit of 11 to 14 is at most 7.875855095269935e-9 old is 7.986329472594663e-9. \n",
"rechecked better distance squared from orbit of 11 to 15 is at most 0.32607687470221447 old is 0.32607687470221536. \n",
"rechecked new distance squared from orbit of 11 to 19 is at most 3.103836607683505e-10 old is 3.5597700168491997e-9. \n",
"rechecked better distance squared from orbit of 11 to 21 is at most 2.9397122018513457e-7 old is 2.9397122090028105e-7. \n",
"rechecked better distance squared from orbit of 11 to 23 is at most 1.5817915293430823e-9 old is 1.5833516128200079e-9. \n",
"rechecked new distance squared from orbit of 12 to 2 is at most 0.500000000003183 old is 0.5000000000047347. \n",
"rechecked better distance squared from orbit of 12 to 4 is at most 0.6666666962136018 old is 0.6666667022057142. \n",
"rechecked better distance squared from orbit of 12 to 7 is at most 0.5000001893967371 old is 0.5000002124648499. \n",
"rechecked better distance squared from orbit of 12 to 10 is at most 0.5000000541207785 old is 0.5000000544162753. \n",
"rechecked better distance squared from orbit of 12 to 13 is at most 0.3333335948538007 old is 0.33333360217118535. \n",
"rechecked better distance squared from orbit of 12 to 14 is at most 0.5000000258725864 old is 0.5000000489300597. \n",
"rechecked better distance squared from orbit of 12 to 15 is at most 0.645833357984888 old is 0.6458333580662908. \n",
"rechecked better distance squared from orbit of 12 to 18 is at most 2.630120771349057e-7 old is 3.44827704419166e-7. \n",
"rechecked better distance squared from orbit of 12 to 20 is at most 1.0979718825314028e-6 old is 1.1970633222408137e-6. \n",
"rechecked better distance squared from orbit of 12 to 21 is at most 8.546018602150234e-8 old is 9.266357992818519e-8. \n",
"rechecked better distance squared from orbit of 12 to 23 is at most 3.0876753872299164e-7 old is 3.087718973885913e-7. \n",
"rechecked better distance squared from orbit of 13 to 2 is at most 0.6666666819963825 old is 0.6666666819963827. \n",
"rechecked better distance squared from orbit of 13 to 3 is at most 0.8964466267782812 old is 0.8964466583632851. \n",
"rechecked better distance squared from orbit of 13 to 4 is at most 0.5000000220919438 old is 0.5000000310595044. \n",
"rechecked better distance squared from orbit of 13 to 5 is at most 1.000000001752848 old is 1.000000003621849. \n",
"rechecked better distance squared from orbit of 13 to 6 is at most 0.33333451708115214 old is 0.33333479295855734. \n",
"rechecked better distance squared from orbit of 13 to 8 is at most 0.4873226521563156 old is 0.4873226940802534. \n",
"rechecked better distance squared from orbit of 13 to 10 is at most 0.45873412437139766 old is 0.45873414044733485. \n",
"rechecked better distance squared from orbit of 13 to 15 is at most 0.41499728953377296 old is 0.41499728953581444. \n",
"rechecked better distance squared from orbit of 13 to 16 is at most 0.8672932633081284 old is 0.867293299971946. \n",
"rechecked better distance squared from orbit of 13 to 17 is at most 0.2500013196682186 old is 0.25000222558417234. \n",
"rechecked better distance squared from orbit of 13 to 18 is at most 0.200000015668829 old is 0.20000001566882905. \n",
"rechecked better distance squared from orbit of 13 to 19 is at most 2.6079207447659667e-8 old is 1.706101532821378e-7. \n",
"rechecked better distance squared from orbit of 13 to 20 is at most 7.530670432120127e-8 old is 7.710790158074996e-8. \n",
"rechecked better distance squared from orbit of 13 to 21 is at most 1.7770338193290945e-8 old is 2.7083759575971507e-8. \n",
"rechecked better distance squared from orbit of 13 to 22 is at most 0.6752404786501834 old is 0.6752404799788442. \n",
"rechecked new distance squared from orbit of 14 to 10 is at most 0.3333333333336747 old is 0.3333333333336929. \n",
"rechecked better distance squared from orbit of 14 to 13 is at most 0.16666925176735845 old is 0.16666950126734462. \n",
"rechecked better distance squared from orbit of 14 to 19 is at most 7.686917792307484e-6 old is 7.852078263044236e-6. \n",
"rechecked new distance squared from orbit of 14 to 21 is at most 4.927992458084891e-9 old is 7.175515286882254e-9. \n",
"rechecked better distance squared from orbit of 14 to 21 is at most 3.817563048304465e-10 old is 4.927992458084891e-9. \n",
"rechecked better distance squared from orbit of 14 to 23 is at most 6.001265009101547e-8 old is 6.018944844387001e-8. \n",
"rechecked better distance squared from orbit of 15 to 2 is at most 0.6666666698198398 old is 0.6666666698198407. \n",
"rechecked better distance squared from orbit of 15 to 6 is at most 0.6666666674962315 old is 0.6666666674962604. \n",
"rechecked better distance squared from orbit of 15 to 13 is at most 0.16666828509339685 old is 0.16666876946332881. \n",
"rechecked new distance squared from orbit of 15 to 15 is at most 7.994289883242816e-14 old is 1.4978729795838508e-13. \n",
"rechecked better distance squared from orbit of 15 to 16 is at most 0.5000000013630649 old is 0.5000000013654952. \n",
"rechecked better distance squared from orbit of 15 to 18 is at most 0.20000000303051063 old is 0.20000000356407002. \n",
"rechecked new distance squared from orbit of 15 to 19 is at most 5.363815465838951e-6 old is 7.5126645517381815e-6. \n",
"rechecked better distance squared from orbit of 15 to 19 is at most 2.637610812372042e-6 old is 5.363815465838951e-6. \n",
"rechecked better distance squared from orbit of 15 to 21 is at most 2.843933189194318e-9 old is 2.8525644519544194e-9. \n",
"rechecked better distance squared from orbit of 15 to 22 is at most 7.74843368400758e-10 old is 3.2139880044953293e-9. \n",
"rechecked better distance squared from orbit of 15 to 23 is at most 2.0938780346013686e-8 old is 2.0991786143972786e-8. \n",
"rechecked new distance squared from orbit of 16 to 8 is at most 0.5000000000001313 old is 0.5000000001144169. \n",
"rechecked better distance squared from orbit of 16 to 9 is at most 0.5000000250860478 old is 0.5000000305460011. \n",
"rechecked better distance squared from orbit of 16 to 10 is at most 0.3750000096695768 old is 0.3750000100787866. \n",
"rechecked new distance squared from orbit of 16 to 13 is at most 0.40551943777480154 old is 0.4055194377748304. \n",
"rechecked new distance squared from orbit of 16 to 16 is at most 3.916495316612001e-13 old is 5.927032809129082e-12. \n",
"rechecked new distance squared from orbit of 16 to 18 is at most 0.6000000000149522 old is 0.6000000003181641. \n",
"rechecked better distance squared from orbit of 16 to 20 is at most 0.16666667702460586 old is 0.16666668657583542. \n",
"rechecked better distance squared from orbit of 16 to 21 is at most 0.5000000243274227 old is 0.5000000247013434. \n",
"rechecked better distance squared from orbit of 16 to 22 is at most 1.1161545685567793e-8 old is 3.2748047952444684e-8. \n",
"rechecked better distance squared from orbit of 16 to 23 is at most 7.932211357215203e-8 old is 9.921736832530353e-8. \n",
"rechecked better distance squared from orbit of 17 to 4 is at most 0.8333333968347229 old is 0.833333427412764. \n",
"rechecked better distance squared from orbit of 17 to 10 is at most 0.500000043025703 old is 0.500000053400999. \n",
"rechecked better distance squared from orbit of 17 to 13 is at most 0.3333406086013735 old is 0.3333417818475816. \n",
"rechecked new distance squared from orbit of 17 to 17 is at most 1.156654166538431e-14 old is 6.179297924991388e-14. \n",
"rechecked better distance squared from orbit of 17 to 20 is at most 2.437165880175737e-5 old is 3.208806178694853e-5. \n",
"rechecked better distance squared from orbit of 17 to 21 is at most 0.5000000019852425 old is 0.5000000031745397. \n",
"rechecked better distance squared from orbit of 17 to 23 is at most 1.5473942688770755e-7 old is 2.9422981103079553e-7. \n",
"rechecked new distance squared from orbit of 18 to 4 is at most 0.6666669451942615 old is 0.6666669885616493. \n",
"rechecked better distance squared from orbit of 18 to 4 is at most 0.6666668302906357 old is 0.6666669451942615. \n",
"rechecked new distance squared from orbit of 18 to 5 is at most 1.3333333333343593 old is 1.3333333333387447. \n",
"rechecked better distance squared from orbit of 18 to 6 is at most 0.33333333384559066 old is 0.33333333472725574. \n",
"rechecked better distance squared from orbit of 18 to 10 is at most 0.5000103115741134 old is 0.5000104180856833. \n",
"rechecked better distance squared from orbit of 18 to 13 is at most 0.33333629870331766 old is 0.33333640020393235. \n",
"rechecked better distance squared from orbit of 18 to 14 is at most 0.5000000014292864 old is 0.5000000035556638. \n",
"rechecked better distance squared from orbit of 18 to 15 is at most 0.6458333616585448 old is 0.6458333693693721. \n",
"rechecked better distance squared from orbit of 18 to 20 is at most 1.2776994401644118e-5 old is 1.2937342179550928e-5. \n",
"rechecked better distance squared from orbit of 18 to 21 is at most 2.9998791257896504e-7 old is 3.32629958356056e-7. \n",
"rechecked better distance squared from orbit of 18 to 22 is at most 0.875008636661387 old is 0.8750086548614647. \n",
"rechecked better distance squared from orbit of 18 to 23 is at most 1.6727087405968288e-5 old is 1.6728247609268585e-5. \n",
"rechecked better distance squared from orbit of 19 to 6 is at most 0.6666666696603637 old is 0.6666666696611716. \n",
"rechecked better distance squared from orbit of 19 to 7 is at most 0.6301239762702685 old is 0.6301239793587722. \n",
"rechecked new distance squared from orbit of 19 to 19 is at most 5.138494988755186e-13 old is 1.2181830144988233e-12. \n",
"rechecked better distance squared from orbit of 19 to 21 is at most 8.680661607513714e-8 old is 1.6158962806054044e-7. \n",
"rechecked better distance squared from orbit of 20 to 4 is at most 0.8333333519350204 old is 0.8333333598487614. \n",
"rechecked new distance squared from orbit of 20 to 5 is at most 1.3333333333335389 old is 1.3333333333338326. \n",
"rechecked better distance squared from orbit of 20 to 10 is at most 0.5000002712498997 old is 0.5000002876722398. \n",
"rechecked better distance squared from orbit of 20 to 15 is at most 0.6666668396294523 old is 0.6666668739366273. \n",
"rechecked better distance squared from orbit of 20 to 16 is at most 0.8750001815469486 old is 0.8750001912677756. \n",
"rechecked better distance squared from orbit of 20 to 19 is at most 0.3333335299162674 old is 0.333333530256218. \n",
"rechecked new distance squared from orbit of 20 to 20 is at most 1.4321476864532475e-13 old is 2.41401018624766e-13. \n",
"rechecked better distance squared from orbit of 20 to 21 is at most 0.5000000339607652 old is 0.5000001070845262. \n",
"rechecked better distance squared from orbit of 20 to 22 is at most 0.8750000067230941 old is 0.8750001814034217. \n",
"rechecked new distance squared from orbit of 20 to 23 is at most 3.386591470554432e-7 old is 3.599959375719813e-7. \n",
"rechecked better distance squared from orbit of 20 to 23 is at most 2.4044216570675383e-7 old is 3.386591470554432e-7. \n",
"rechecked new distance squared from orbit of 21 to 2 is at most 0.6666666666667073 old is 0.6666666666668465. \n",
"rechecked better distance squared from orbit of 21 to 10 is at most 0.5000000034611984 old is 0.5000000037798733. \n",
"rechecked better distance squared from orbit of 21 to 16 is at most 0.8750000056643383 old is 0.8750000071372495. \n",
"rechecked new distance squared from orbit of 21 to 18 is at most 0.20000000000002138 old is 0.20000000000003018. \n",
"rechecked better distance squared from orbit of 21 to 19 is at most 0.33333333382531777 old is 0.333333333849954. \n",
"rechecked better distance squared from orbit of 21 to 20 is at most 0.16666671122304555 old is 0.16666671552771367. \n",
"rechecked better distance squared from orbit of 21 to 23 is at most 5.6649959218554675e-8 old is 5.9041243580436216e-8. \n",
"rechecked better distance squared from orbit of 22 to 2 is at most 0.9166666836928681 old is 0.9166666839452471. \n",
"rechecked new distance squared from orbit of 22 to 5 is at most 1.3333333333333932 old is 1.3333333333334034. \n",
"rechecked better distance squared from orbit of 22 to 6 is at most 0.6666666677427187 old is 0.6666666677427292. \n",
"rechecked better distance squared from orbit of 22 to 7 is at most 0.9321105343542581 old is 0.9321105348046365. \n",
"rechecked better distance squared from orbit of 22 to 8 is at most 0.5000000033858186 old is 0.5000000035952726. \n",
"rechecked better distance squared from orbit of 22 to 12 is at most 0.9500000087477115 old is 0.9500000093378514. \n",
"rechecked better distance squared from orbit of 22 to 13 is at most 0.44063351082206187 old is 0.4406335123229996. \n",
"rechecked better distance squared from orbit of 22 to 17 is at most 0.5000000027184189 old is 0.5000000027215986. \n",
"rechecked better distance squared from orbit of 22 to 18 is at most 0.6000000101747793 old is 0.6000000145003643. \n",
"rechecked better distance squared from orbit of 22 to 19 is at most 0.33333333347756255 old is 0.33333333347756267. \n",
"rechecked better distance squared from orbit of 22 to 20 is at most 0.16666666846560219 old is 0.16666666846581119. \n",
"rechecked better distance squared from orbit of 22 to 21 is at most 0.5000000061313581 old is 0.5000000061313583. \n",
"rechecked better distance squared from orbit of 22 to 23 is at most 8.631952186318468e-9 old is 2.0781808011397565e-8. \n",
"rechecked new distance squared from orbit of 23 to 18 is at most 0.6000000000011956 old is 0.6000000016317334. \n"
]
}
],
"source": [
"D6s,P6s=finddistances(JordanNetsS6,10)\n",
"#save P6s\n",
"\n",
"open(\"JNS6Ps.csv\", \"w\") do io\n",
" writedlm(io,P6s)\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "6cfc3b4f",
"metadata": {},
"source": [
"The following is the calculated Hasse Diagram for nets in $\\mathbb{S}^6$."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "d8e36b5c",
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/svg+xml": [
"\n",
"\n"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#P6s[13,19,:,:]=PA4i(0.5)\n",
"#D6s=distances(JordanNetsS6,P6s)\n",
"#revisedistances!(JordanNetsS6,D6s,P6s)\n",
"\n",
"plot(datatograph1(D6s,3)[1],datatograph2(D6s,0.01)[1],size=(1000,500))"
]
},
{
"cell_type": "markdown",
"id": "b6100fae",
"metadata": {},
"source": [
"We calculate degenerations for nets in $\\mathbb S^7$."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "b8d99768",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.024880 seconds (44.49 k allocations: 21.186 MiB, 57.39% gc time)\n",
"distance squared from orbit of 1 to 1 is at most 2.8143940956213166e-14. 1 tries \n",
" 1.802193 seconds (6.23 M allocations: 2.884 GiB, 18.82% gc time)\n",
"distance squared from orbit of 1 to 2 is at most 4.7390670297129574e-7. 3 tries \n",
" 0.302997 seconds (1.02 M allocations: 482.204 MiB, 18.78% gc time)\n",
"distance squared from orbit of 1 to 3 is at most 7.805776850455649e-12. 1 tries \n",
" 6.849903 seconds (21.52 M allocations: 9.958 GiB, 18.20% gc time)\n",
"distance squared from orbit of 1 to 4 is at most 0.3333333333343722. 50 tries \n",
" 4.273116 seconds (14.17 M allocations: 6.555 GiB, 18.37% gc time)\n",
"distance squared from orbit of 1 to 5 is at most 0.500000000000046. 50 tries \n",
" 8.638812 seconds (29.27 M allocations: 13.540 GiB, 18.33% gc time)\n",
"distance squared from orbit of 1 to 6 is at most 8.148479490541145e-8. 14 tries \n",
" 31.340521 seconds (103.96 M allocations: 48.095 GiB, 18.36% gc time)\n",
"distance squared from orbit of 1 to 7 is at most 3.737521804908807e-6. 50 tries \n",
" 2.581620 seconds (8.65 M allocations: 4.001 GiB, 18.29% gc time)\n",
"distance squared from orbit of 1 to 8 is at most 5.410448469651386e-7. 5 tries \n",
" 4.536337 seconds (16.45 M allocations: 7.610 GiB, 18.54% gc time)\n",
"distance squared from orbit of 1 to 9 is at most 0.2500000000004434. 50 tries \n",
" 12.184847 seconds (38.20 M allocations: 17.676 GiB, 18.02% gc time)\n",
"distance squared from orbit of 1 to 10 is at most 0.3942196641432804. 50 tries \n",
" 31.310227 seconds (102.03 M allocations: 47.200 GiB, 18.00% gc time)\n",
"distance squared from orbit of 1 to 11 is at most 8.350928642683803e-5. 50 tries \n",
" 4.627031 seconds (14.43 M allocations: 6.674 GiB, 17.83% gc time)\n",
"distance squared from orbit of 1 to 12 is at most 9.62225531811283e-7. 7 tries \n",
" 29.886453 seconds (102.45 M allocations: 47.388 GiB, 18.36% gc time)\n",
"distance squared from orbit of 1 to 13 is at most 0.16666711871675594. 50 tries \n",
" 30.770582 seconds (102.15 M allocations: 47.254 GiB, 18.44% gc time)\n",
"distance squared from orbit of 1 to 14 is at most 0.0003726112051801606. 50 tries \n",
" 21.480383 seconds (80.23 M allocations: 37.112 GiB, 18.72% gc time)\n",
"distance squared from orbit of 1 to 15 is at most 0.2500000022194745. 50 tries \n",
" 7.509177 seconds (27.33 M allocations: 12.647 GiB, 18.40% gc time)\n",
"distance squared from orbit of 1 to 16 is at most 0.4000000000000229. 50 tries \n",
" 27.498741 seconds (101.67 M allocations: 47.032 GiB, 18.62% gc time)\n",
"distance squared from orbit of 1 to 17 is at most 0.00036744372859709646. 50 tries \n",
" 9.521838 seconds (35.34 M allocations: 16.351 GiB, 18.86% gc time)\n",
"distance squared from orbit of 1 to 18 is at most 7.938912410528549e-7. 17 tries \n",
" 28.155918 seconds (104.16 M allocations: 48.187 GiB, 18.64% gc time)\n",
"distance squared from orbit of 1 to 19 is at most 8.640753862370657e-6. 50 tries \n",
" 27.176541 seconds (102.18 M allocations: 47.269 GiB, 18.65% gc time)\n",
"distance squared from orbit of 1 to 20 is at most 0.00031223105077953753. 50 tries \n",
" 3.629362 seconds (13.91 M allocations: 6.434 GiB, 18.80% gc time)\n",
"distance squared from orbit of 1 to 21 is at most 0.4000000000000103. 50 tries \n",
" 9.866944 seconds (37.47 M allocations: 17.333 GiB, 18.42% gc time)\n",
"distance squared from orbit of 1 to 22 is at most 8.55337840172618e-7. 18 tries \n",
" 26.652516 seconds (100.75 M allocations: 46.604 GiB, 18.46% gc time)\n",
"distance squared from orbit of 1 to 23 is at most 0.16666770927205513. 50 tries \n",
" 11.691102 seconds (44.51 M allocations: 20.596 GiB, 18.38% gc time)\n",
"distance squared from orbit of 1 to 24 is at most 0.21121996582310948. 50 tries \n",
" 27.410758 seconds (103.82 M allocations: 48.029 GiB, 18.37% gc time)\n",
"distance squared from orbit of 1 to 25 is at most 1.3959149443160941e-6. 50 tries \n",
" 27.623223 seconds (104.01 M allocations: 48.115 GiB, 18.29% gc time)\n",
"distance squared from orbit of 1 to 26 is at most 0.00044474303138166847. 50 tries \n",
" 28.281689 seconds (104.46 M allocations: 48.329 GiB, 18.12% gc time)\n",
"distance squared from orbit of 1 to 27 is at most 0.00021989289730720625. 50 tries \n",
"\n",
" 4.690046 seconds (17.22 M allocations: 7.968 GiB, 17.91% gc time)\n",
"distance squared from orbit of 2 to 1 is at most 0.5000000601835838. 50 tries \n",
" 0.634263 seconds (2.29 M allocations: 1.060 GiB, 18.40% gc time)\n",
"distance squared from orbit of 2 to 2 is at most 7.206917790524841e-13. 3 tries \n",
" 7.995367 seconds (28.77 M allocations: 13.314 GiB, 17.74% gc time)\n",
"distance squared from orbit of 2 to 3 is at most 0.33333333333536636. 50 tries \n",
" 15.355163 seconds (55.74 M allocations: 25.782 GiB, 17.74% gc time)\n",
"distance squared from orbit of 2 to 4 is at most 0.3333333346237438. 50 tries \n",
" 9.153632 seconds (33.68 M allocations: 15.584 GiB, 17.86% gc time)\n",
"distance squared from orbit of 2 to 5 is at most 0.500000000000212. 50 tries \n",
" 28.931224 seconds (104.93 M allocations: 48.546 GiB, 17.65% gc time)\n",
"distance squared from orbit of 2 to 6 is at most 0.0001425417457495989. 50 tries \n",
" 28.166066 seconds (103.37 M allocations: 47.825 GiB, 17.94% gc time)\n",
"distance squared from orbit of 2 to 7 is at most 1.3363366098697689e-5. 50 tries \n",
" 19.147398 seconds (71.26 M allocations: 32.965 GiB, 18.06% gc time)\n",
"distance squared from orbit of 2 to 8 is at most 0.250001567276096. 50 tries \n",
" 10.446747 seconds (38.47 M allocations: 17.791 GiB, 17.95% gc time)\n",
"distance squared from orbit of 2 to 9 is at most 0.2500000016163185. 50 tries \n",
" 21.071121 seconds (77.48 M allocations: 35.841 GiB, 17.89% gc time)\n",
"distance squared from orbit of 2 to 10 is at most 0.39421966954999277. 50 tries \n",
" 28.233087 seconds (102.18 M allocations: 47.273 GiB, 17.69% gc time)\n",
"distance squared from orbit of 2 to 11 is at most 1.850992574903488e-6. 50 tries \n",
" 0.566820 seconds (2.07 M allocations: 979.981 MiB, 17.23% gc time)\n",
"distance squared from orbit of 2 to 12 is at most 1.663348421524005e-8. 1 tries \n",
" 15.551225 seconds (56.81 M allocations: 26.282 GiB, 17.75% gc time)\n",
"distance squared from orbit of 2 to 13 is at most 0.16666666666896607. 50 tries \n",
" 28.511663 seconds (103.90 M allocations: 48.064 GiB, 17.63% gc time)\n",
"distance squared from orbit of 2 to 14 is at most 0.0003906755587302728. 50 tries \n",
" 20.188485 seconds (74.00 M allocations: 34.233 GiB, 17.69% gc time)\n",
"distance squared from orbit of 2 to 15 is at most 0.25000226401921616. 50 tries \n",
" 9.009067 seconds (33.29 M allocations: 15.401 GiB, 17.91% gc time)\n",
"distance squared from orbit of 2 to 16 is at most 0.4000000000000781. 50 tries \n",
" 28.191365 seconds (103.22 M allocations: 47.751 GiB, 17.59% gc time)\n",
"distance squared from orbit of 2 to 17 is at most 0.00042695654043090487. 50 tries \n",
" 28.381345 seconds (103.88 M allocations: 48.059 GiB, 17.61% gc time)\n",
"distance squared from orbit of 2 to 18 is at most 2.417674794233547e-6. 50 tries \n",
" 28.454473 seconds (103.72 M allocations: 47.983 GiB, 17.60% gc time)\n",
"distance squared from orbit of 2 to 19 is at most 4.9930462426849286e-5. 50 tries \n",
" 28.334004 seconds (104.09 M allocations: 48.158 GiB, 17.64% gc time)\n",
"distance squared from orbit of 2 to 20 is at most 0.00031191552493080755. 50 tries \n",
" 20.039665 seconds (74.28 M allocations: 34.357 GiB, 17.66% gc time)\n",
"distance squared from orbit of 2 to 21 is at most 0.40000000223562954. 50 tries \n",
" 26.858499 seconds (104.63 M allocations: 48.408 GiB, 18.04% gc time)\n",
"distance squared from orbit of 2 to 22 is at most 1.6213807088124096e-6. 50 tries \n",
" 26.409229 seconds (101.44 M allocations: 46.926 GiB, 17.91% gc time)\n",
"distance squared from orbit of 2 to 23 is at most 0.166666671582948. 50 tries \n",
" 19.812688 seconds (75.74 M allocations: 35.042 GiB, 17.93% gc time)\n",
"distance squared from orbit of 2 to 24 is at most 0.2023893220195253. 50 tries \n",
" 27.207903 seconds (104.59 M allocations: 48.387 GiB, 17.91% gc time)\n",
"distance squared from orbit of 2 to 25 is at most 4.6590551267635266e-6. 50 tries \n",
" 27.215719 seconds (105.17 M allocations: 48.654 GiB, 17.99% gc time)\n",
"distance squared from orbit of 2 to 26 is at most 0.00023162929264318807. 50 tries \n",
" 27.121641 seconds (104.36 M allocations: 48.282 GiB, 17.85% gc time)\n",
"distance squared from orbit of 2 to 27 is at most 7.503518275235685e-6. 50 tries \n",
"\n",
" 6.205042 seconds (23.85 M allocations: 11.034 GiB, 17.79% gc time)\n",
"distance squared from orbit of 3 to 1 is at most 0.5000000000000299. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 4.449796 seconds (17.06 M allocations: 7.895 GiB, 17.91% gc time)\n",
"distance squared from orbit of 3 to 2 is at most 0.2000000000037295. 50 tries \n",
" 0.013457 seconds (60.19 k allocations: 28.517 MiB)\n",
"distance squared from orbit of 3 to 3 is at most 3.5223529778181723e-13. 1 tries \n",
" 7.419543 seconds (28.45 M allocations: 13.161 GiB, 17.74% gc time)\n",
"distance squared from orbit of 3 to 4 is at most 0.3333333333498546. 50 tries \n",
" 5.476402 seconds (20.96 M allocations: 9.701 GiB, 17.82% gc time)\n",
"distance squared from orbit of 3 to 5 is at most 0.5000000000003058. 50 tries \n",
" 15.815955 seconds (61.58 M allocations: 28.490 GiB, 17.82% gc time)\n",
"distance squared from orbit of 3 to 6 is at most 0.16666702878448095. 50 tries \n",
" 22.328024 seconds (89.77 M allocations: 41.523 GiB, 17.94% gc time)\n",
"distance squared from orbit of 3 to 7 is at most 3.527170575322729e-5. 50 tries \n",
" 1.024178 seconds (4.12 M allocations: 1.904 GiB, 18.14% gc time)\n",
"distance squared from orbit of 3 to 8 is at most 7.380034948204456e-11. 4 tries \n",
" 3.931482 seconds (15.28 M allocations: 7.071 GiB, 17.63% gc time)\n",
"distance squared from orbit of 3 to 9 is at most 0.25000000003904743. 50 tries \n",
" 13.338803 seconds (51.18 M allocations: 23.678 GiB, 17.72% gc time)\n",
"distance squared from orbit of 3 to 10 is at most 0.39421966419748256. 50 tries \n",
" 9.695089 seconds (37.15 M allocations: 17.187 GiB, 17.83% gc time)\n",
"distance squared from orbit of 3 to 11 is at most 6.601126894990639e-7. 19 tries \n",
" 13.777293 seconds (52.80 M allocations: 24.427 GiB, 17.79% gc time)\n",
"distance squared from orbit of 3 to 12 is at most 0.20000000057118705. 50 tries \n",
" 6.310066 seconds (24.13 M allocations: 11.164 GiB, 17.92% gc time)\n",
"distance squared from orbit of 3 to 13 is at most 0.16671933149237647. 50 tries \n",
" 27.112244 seconds (103.95 M allocations: 48.089 GiB, 17.77% gc time)\n",
"distance squared from orbit of 3 to 14 is at most 9.813609736224402e-5. 50 tries \n",
" 18.841140 seconds (74.55 M allocations: 34.484 GiB, 17.80% gc time)\n",
"distance squared from orbit of 3 to 15 is at most 0.25000000004115075. 50 tries \n",
" 16.245467 seconds (62.35 M allocations: 28.848 GiB, 17.74% gc time)\n",
"distance squared from orbit of 3 to 16 is at most 0.40000000000006025. 50 tries \n",
" 26.693015 seconds (102.25 M allocations: 47.301 GiB, 17.70% gc time)\n",
"distance squared from orbit of 3 to 17 is at most 0.0001376936905319114. 50 tries \n",
" 22.501718 seconds (87.68 M allocations: 40.567 GiB, 17.69% gc time)\n",
"distance squared from orbit of 3 to 18 is at most 5.866148221156106e-5. 50 tries \n",
" 27.035331 seconds (103.83 M allocations: 48.034 GiB, 17.61% gc time)\n",
"distance squared from orbit of 3 to 19 is at most 9.955414290933667e-5. 50 tries \n",
" 26.408290 seconds (101.62 M allocations: 47.009 GiB, 17.63% gc time)\n",
"distance squared from orbit of 3 to 20 is at most 7.592315713179691e-5. 50 tries \n",
" 7.773456 seconds (29.72 M allocations: 13.753 GiB, 17.62% gc time)\n",
"distance squared from orbit of 3 to 21 is at most 0.4000000000000358. 50 tries \n",
" 27.239262 seconds (104.90 M allocations: 48.531 GiB, 17.59% gc time)\n",
"distance squared from orbit of 3 to 22 is at most 3.160152534958536e-6. 50 tries \n",
" 27.324505 seconds (105.22 M allocations: 48.680 GiB, 17.63% gc time)\n",
"distance squared from orbit of 3 to 23 is at most 0.16667864580991185. 50 tries \n",
" 13.092069 seconds (50.96 M allocations: 23.575 GiB, 17.58% gc time)\n",
"distance squared from orbit of 3 to 24 is at most 0.20510246659205997. 50 tries \n",
" 26.912121 seconds (104.07 M allocations: 48.143 GiB, 17.49% gc time)\n",
"distance squared from orbit of 3 to 25 is at most 1.027198853320242e-5. 50 tries \n",
" 26.698918 seconds (104.53 M allocations: 48.360 GiB, 17.56% gc time)\n",
"distance squared from orbit of 3 to 26 is at most 0.00019614727095628774. 50 tries \n",
" 26.728347 seconds (104.71 M allocations: 48.444 GiB, 17.57% gc time)\n",
"distance squared from orbit of 3 to 27 is at most 4.6711044303272285e-6. 50 tries \n",
"\n",
" 3.426531 seconds (13.27 M allocations: 6.141 GiB, 17.51% gc time)\n",
"distance squared from orbit of 4 to 1 is at most 0.5000000000002175. 50 tries \n",
" 12.122956 seconds (47.67 M allocations: 22.057 GiB, 17.53% gc time)\n",
"distance squared from orbit of 4 to 2 is at most 0.5000000353950327. 50 tries \n",
" 22.420297 seconds (87.90 M allocations: 40.654 GiB, 17.51% gc time)\n",
"distance squared from orbit of 4 to 3 is at most 0.5000000005038238. 50 tries \n",
" 0.035338 seconds (116.80 k allocations: 55.340 MiB, 28.32% gc time)\n",
"distance squared from orbit of 4 to 4 is at most 1.69348555034752e-13. 2 tries \n",
" 5.435819 seconds (21.37 M allocations: 9.890 GiB, 17.61% gc time)\n",
"distance squared from orbit of 4 to 5 is at most 0.6666686162417194. 50 tries \n",
" 27.446159 seconds (101.78 M allocations: 47.080 GiB, 20.06% gc time)\n",
"distance squared from orbit of 4 to 6 is at most 0.33333410505284267. 50 tries \n",
" 10.792963 seconds (43.33 M allocations: 20.052 GiB, 19.99% gc time)\n",
"distance squared from orbit of 4 to 7 is at most 0.5572454878309517. 50 tries \n",
" 0.498071 seconds (1.99 M allocations: 941.391 MiB, 20.25% gc time)\n",
"distance squared from orbit of 4 to 8 is at most 2.399943510470258e-7. 1 tries \n",
" 2.635608 seconds (9.90 M allocations: 4.582 GiB, 19.45% gc time)\n",
"distance squared from orbit of 4 to 9 is at most 0.2500000000004303. 50 tries \n",
" 0.248490 seconds (924.11 k allocations: 438.070 MiB, 20.31% gc time)\n",
"distance squared from orbit of 4 to 10 is at most 5.234815624435434e-12. 1 tries \n",
" 27.154339 seconds (102.73 M allocations: 47.524 GiB, 19.54% gc time)\n",
"distance squared from orbit of 4 to 11 is at most 0.3333339511341054. 50 tries \n",
" 25.287270 seconds (96.97 M allocations: 44.851 GiB, 19.57% gc time)\n",
"distance squared from orbit of 4 to 12 is at most 0.20000034723523388. 50 tries \n",
" 0.583536 seconds (2.41 M allocations: 1.116 GiB, 19.43% gc time)\n",
"distance squared from orbit of 4 to 13 is at most 3.489813157140084e-7. 2 tries \n",
" 27.166695 seconds (104.39 M allocations: 48.292 GiB, 19.53% gc time)\n",
"distance squared from orbit of 4 to 14 is at most 5.228921576876884e-6. 50 tries \n",
" 6.696088 seconds (25.27 M allocations: 11.694 GiB, 19.38% gc time)\n",
"distance squared from orbit of 4 to 15 is at most 0.250000000000014. 50 tries \n",
" 6.714470 seconds (25.68 M allocations: 11.885 GiB, 19.50% gc time)\n",
"distance squared from orbit of 4 to 16 is at most 0.7000016827447004. 50 tries \n",
" 27.293814 seconds (103.40 M allocations: 47.835 GiB, 19.32% gc time)\n",
"distance squared from orbit of 4 to 17 is at most 0.3260784564094249. 50 tries \n",
" 2.089766 seconds (8.09 M allocations: 3.744 GiB, 19.23% gc time)\n",
"distance squared from orbit of 4 to 18 is at most 6.295813137326553e-7. 4 tries \n",
" 27.462794 seconds (103.83 M allocations: 48.034 GiB, 19.25% gc time)\n",
"distance squared from orbit of 4 to 19 is at most 0.0002657372119160947. 50 tries \n",
" 26.771223 seconds (102.17 M allocations: 47.263 GiB, 19.22% gc time)\n",
"distance squared from orbit of 4 to 20 is at most 3.730956424811539e-5. 50 tries \n",
" 2.151478 seconds (8.15 M allocations: 3.772 GiB, 19.28% gc time)\n",
"distance squared from orbit of 4 to 21 is at most 0.4000000000003281. 50 tries \n",
" 26.529689 seconds (101.12 M allocations: 46.781 GiB, 19.12% gc time)\n",
"distance squared from orbit of 4 to 22 is at most 0.5000018624922389. 50 tries \n",
" 0.543590 seconds (2.06 M allocations: 976.939 MiB, 19.72% gc time)\n",
"distance squared from orbit of 4 to 23 is at most 6.758762993170398e-7. 1 tries \n",
" 9.148383 seconds (34.75 M allocations: 16.078 GiB, 19.05% gc time)\n",
"distance squared from orbit of 4 to 24 is at most 0.20105533739113451. 50 tries \n",
" 27.122999 seconds (103.75 M allocations: 47.998 GiB, 19.03% gc time)\n",
"distance squared from orbit of 4 to 25 is at most 1.8771333721754764e-6. 50 tries \n",
" 27.306261 seconds (104.36 M allocations: 48.280 GiB, 19.06% gc time)\n",
"distance squared from orbit of 4 to 26 is at most 0.00030059311779385555. 50 tries \n",
" 25.986787 seconds (104.38 M allocations: 48.289 GiB, 19.17% gc time)\n",
"distance squared from orbit of 4 to 27 is at most 0.00012553756363439317. 50 tries \n",
"\n",
" 3.921179 seconds (16.27 M allocations: 7.528 GiB, 19.23% gc time)\n",
"distance squared from orbit of 5 to 1 is at most 0.6666666666667524. 50 tries \n",
" 7.585428 seconds (29.50 M allocations: 13.652 GiB, 19.08% gc time)\n",
"distance squared from orbit of 5 to 2 is at most 0.4000000000002914. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 9.833741 seconds (37.69 M allocations: 17.440 GiB, 18.89% gc time)\n",
"distance squared from orbit of 5 to 3 is at most 0.5833333333334517. 50 tries \n",
" 4.404431 seconds (16.71 M allocations: 7.733 GiB, 18.99% gc time)\n",
"distance squared from orbit of 5 to 4 is at most 0.666666666669446. 50 tries \n",
" 0.014385 seconds (65.89 k allocations: 31.228 MiB)\n",
"distance squared from orbit of 5 to 5 is at most 1.9479150376976526e-13. 1 tries \n",
" 27.160797 seconds (103.76 M allocations: 48.003 GiB, 18.85% gc time)\n",
"distance squared from orbit of 5 to 6 is at most 0.16677340639336152. 50 tries \n",
" 2.438462 seconds (9.49 M allocations: 4.394 GiB, 18.93% gc time)\n",
"distance squared from orbit of 5 to 7 is at most 0.4021790995729492. 50 tries \n",
" 9.704723 seconds (37.30 M allocations: 17.259 GiB, 18.69% gc time)\n",
"distance squared from orbit of 5 to 8 is at most 0.5000165996930699. 50 tries \n",
" 5.130397 seconds (19.48 M allocations: 9.016 GiB, 18.83% gc time)\n",
"distance squared from orbit of 5 to 9 is at most 0.5000000000001434. 50 tries \n",
" 10.761208 seconds (41.17 M allocations: 19.049 GiB, 18.96% gc time)\n",
"distance squared from orbit of 5 to 10 is at most 0.460808308928975. 50 tries \n",
" 23.907215 seconds (92.07 M allocations: 42.593 GiB, 18.68% gc time)\n",
"distance squared from orbit of 5 to 11 is at most 0.0001315547549988315. 50 tries \n",
" 11.956606 seconds (45.63 M allocations: 21.113 GiB, 18.82% gc time)\n",
"distance squared from orbit of 5 to 12 is at most 0.4000000000008102. 50 tries \n",
" 14.484828 seconds (55.76 M allocations: 25.803 GiB, 18.68% gc time)\n",
"distance squared from orbit of 5 to 13 is at most 0.16677546720789996. 50 tries \n",
" 4.419744 seconds (16.78 M allocations: 7.767 GiB, 18.59% gc time)\n",
"distance squared from orbit of 5 to 14 is at most 0.29932317780688084. 50 tries \n",
" 6.972264 seconds (26.67 M allocations: 12.337 GiB, 18.71% gc time)\n",
"distance squared from orbit of 5 to 15 is at most 0.4768107655602449. 50 tries \n",
" 4.134104 seconds (15.97 M allocations: 7.390 GiB, 18.73% gc time)\n",
"distance squared from orbit of 5 to 16 is at most 0.2000000000016829. 50 tries \n",
" 26.561229 seconds (102.39 M allocations: 47.365 GiB, 18.60% gc time)\n",
"distance squared from orbit of 5 to 17 is at most 0.00020741243174856168. 50 tries \n",
" 26.537777 seconds (104.27 M allocations: 48.242 GiB, 18.69% gc time)\n",
"distance squared from orbit of 5 to 18 is at most 1.8503968767362432e-6. 50 tries \n",
" 27.134535 seconds (104.29 M allocations: 48.249 GiB, 18.73% gc time)\n",
"distance squared from orbit of 5 to 19 is at most 0.14285772146888634. 50 tries \n",
" 26.888601 seconds (104.50 M allocations: 48.349 GiB, 18.78% gc time)\n",
"distance squared from orbit of 5 to 20 is at most 1.168420505571088e-6. 50 tries \n",
" 7.446700 seconds (28.44 M allocations: 13.161 GiB, 18.79% gc time)\n",
"distance squared from orbit of 5 to 21 is at most 0.5600000000001714. 50 tries \n",
" 17.478438 seconds (67.19 M allocations: 31.087 GiB, 18.71% gc time)\n",
"distance squared from orbit of 5 to 22 is at most 1.3586072713425558e-6. 50 tries \n",
" 18.404364 seconds (70.24 M allocations: 32.499 GiB, 18.75% gc time)\n",
"distance squared from orbit of 5 to 23 is at most 0.16779626601156186. 50 tries \n",
" 21.661106 seconds (85.54 M allocations: 39.574 GiB, 18.83% gc time)\n",
"distance squared from orbit of 5 to 24 is at most 0.40000445853354255. 50 tries \n",
" 27.286460 seconds (104.94 M allocations: 48.551 GiB, 18.74% gc time)\n",
"distance squared from orbit of 5 to 25 is at most 9.969997063816935e-5. 50 tries \n",
" 27.218665 seconds (104.67 M allocations: 48.423 GiB, 18.61% gc time)\n",
"distance squared from orbit of 5 to 26 is at most 0.14285937586572744. 50 tries \n",
" 27.191311 seconds (104.91 M allocations: 48.536 GiB, 18.53% gc time)\n",
"distance squared from orbit of 5 to 27 is at most 1.8305959496926984e-6. 50 tries \n",
"\n",
" 16.816560 seconds (65.04 M allocations: 30.094 GiB, 18.61% gc time)\n",
"distance squared from orbit of 6 to 1 is at most 0.9656655010670664. 50 tries \n",
" 25.269129 seconds (97.62 M allocations: 45.163 GiB, 18.54% gc time)\n",
"distance squared from orbit of 6 to 2 is at most 0.5000000073290595. 50 tries \n",
" 21.016119 seconds (80.95 M allocations: 37.453 GiB, 18.57% gc time)\n",
"distance squared from orbit of 6 to 3 is at most 0.6666667051158413. 50 tries \n",
" 21.035047 seconds (81.36 M allocations: 37.641 GiB, 18.41% gc time)\n",
"distance squared from orbit of 6 to 4 is at most 0.6666666714957541. 50 tries \n",
" 24.015154 seconds (93.02 M allocations: 43.038 GiB, 18.45% gc time)\n",
"distance squared from orbit of 6 to 5 is at most 0.500035137038767. 50 tries \n",
" 0.022787 seconds (69.48 k allocations: 32.925 MiB, 34.33% gc time)\n",
"distance squared from orbit of 6 to 6 is at most 1.4254386935606446e-12. 1 tries \n",
" 16.479855 seconds (63.71 M allocations: 29.480 GiB, 18.43% gc time)\n",
"distance squared from orbit of 6 to 7 is at most 0.5000450155087698. 50 tries \n",
" 25.484787 seconds (98.73 M allocations: 45.669 GiB, 18.39% gc time)\n",
"distance squared from orbit of 6 to 8 is at most 0.500002441762611. 50 tries \n",
" 18.113704 seconds (70.45 M allocations: 32.595 GiB, 18.31% gc time)\n",
"distance squared from orbit of 6 to 9 is at most 0.7268408756027565. 50 tries \n",
" 23.878989 seconds (92.23 M allocations: 42.674 GiB, 18.24% gc time)\n",
"distance squared from orbit of 6 to 10 is at most 0.460784731205184. 50 tries \n",
" 0.536969 seconds (2.12 M allocations: 1003.351 MiB, 17.36% gc time)\n",
"distance squared from orbit of 6 to 11 is at most 2.686787244106156e-7. 1 tries \n",
" 25.004108 seconds (99.70 M allocations: 46.124 GiB, 18.23% gc time)\n",
"distance squared from orbit of 6 to 12 is at most 0.40000001310406164. 50 tries \n",
" 24.652275 seconds (96.87 M allocations: 44.823 GiB, 18.14% gc time)\n",
"distance squared from orbit of 6 to 13 is at most 0.16666667635466953. 50 tries \n",
" 27.346005 seconds (106.07 M allocations: 49.078 GiB, 18.24% gc time)\n",
"distance squared from orbit of 6 to 14 is at most 0.35237724918879826. 50 tries \n",
" 21.140800 seconds (81.97 M allocations: 37.919 GiB, 18.26% gc time)\n",
"distance squared from orbit of 6 to 15 is at most 0.5000000048715286. 50 tries \n",
" 27.058304 seconds (104.99 M allocations: 48.571 GiB, 18.29% gc time)\n",
"distance squared from orbit of 6 to 16 is at most 0.4001737557589586. 50 tries \n",
" 8.107743 seconds (31.42 M allocations: 14.537 GiB, 18.35% gc time)\n",
"distance squared from orbit of 6 to 17 is at most 7.605329686152696e-7. 15 tries \n",
" 0.540926 seconds (2.12 M allocations: 1002.642 MiB, 18.07% gc time)\n",
"distance squared from orbit of 6 to 18 is at most 2.1870722712205967e-7. 1 tries \n",
" 26.918966 seconds (104.71 M allocations: 48.443 GiB, 18.13% gc time)\n",
"distance squared from orbit of 6 to 19 is at most 0.14285733001712395. 50 tries \n",
" 3.229627 seconds (12.57 M allocations: 5.814 GiB, 18.22% gc time)\n",
"distance squared from orbit of 6 to 20 is at most 4.78249754699229e-7. 6 tries \n",
" 25.221107 seconds (98.12 M allocations: 45.388 GiB, 18.14% gc time)\n",
"distance squared from orbit of 6 to 21 is at most 0.4000000024690921. 50 tries \n",
" 27.100919 seconds (105.76 M allocations: 48.932 GiB, 18.04% gc time)\n",
"distance squared from orbit of 6 to 22 is at most 5.8062241766333415e-5. 50 tries \n",
" 26.137147 seconds (101.59 M allocations: 46.998 GiB, 18.08% gc time)\n",
"distance squared from orbit of 6 to 23 is at most 0.16666667024741744. 50 tries \n",
" 25.377460 seconds (98.77 M allocations: 45.690 GiB, 18.02% gc time)\n",
"distance squared from orbit of 6 to 24 is at most 0.4000023160470167. 50 tries \n",
" 0.516915 seconds (2.05 M allocations: 970.835 MiB, 17.25% gc time)\n",
"distance squared from orbit of 6 to 25 is at most 1.2486974959020576e-8. 1 tries \n",
" 27.159744 seconds (105.56 M allocations: 48.838 GiB, 17.90% gc time)\n",
"distance squared from orbit of 6 to 26 is at most 0.1428575949754177. 50 tries \n",
" 24.544464 seconds (97.15 M allocations: 44.944 GiB, 17.89% gc time)\n",
"distance squared from orbit of 6 to 27 is at most 6.783155364472417e-7. 46 tries \n",
"\n",
" 8.085532 seconds (31.72 M allocations: 14.675 GiB, 17.90% gc time)\n",
"distance squared from orbit of 7 to 1 is at most 0.965750809195094. 50 tries \n",
" 6.255707 seconds (24.65 M allocations: 11.405 GiB, 17.93% gc time)\n",
"distance squared from orbit of 7 to 2 is at most 0.6581447469112336. 50 tries \n",
" 8.687696 seconds (34.01 M allocations: 15.737 GiB, 17.91% gc time)\n",
"distance squared from orbit of 7 to 3 is at most 0.6666666668821771. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 18.237085 seconds (71.36 M allocations: 33.016 GiB, 17.85% gc time)\n",
"distance squared from orbit of 7 to 4 is at most 0.6672132063510803. 50 tries \n",
" 14.011014 seconds (55.09 M allocations: 25.492 GiB, 17.85% gc time)\n",
"distance squared from orbit of 7 to 5 is at most 0.5000000000001166. 50 tries \n",
" 26.256549 seconds (102.83 M allocations: 47.576 GiB, 17.78% gc time)\n",
"distance squared from orbit of 7 to 6 is at most 0.16694033793526805. 50 tries \n",
" 0.157512 seconds (622.66 k allocations: 295.061 MiB, 16.98% gc time)\n",
"distance squared from orbit of 7 to 7 is at most 2.7682962667153666e-13. 2 tries \n",
" 25.574506 seconds (100.46 M allocations: 46.476 GiB, 17.76% gc time)\n",
"distance squared from orbit of 7 to 8 is at most 0.4573530652113512. 50 tries \n",
" 10.906789 seconds (43.92 M allocations: 20.317 GiB, 17.72% gc time)\n",
"distance squared from orbit of 7 to 9 is at most 0.750002001507617. 50 tries \n",
" 24.513035 seconds (97.01 M allocations: 44.875 GiB, 17.83% gc time)\n",
"distance squared from orbit of 7 to 10 is at most 0.47197405589179087. 50 tries \n",
" 26.542564 seconds (103.62 M allocations: 47.940 GiB, 17.46% gc time)\n",
"distance squared from orbit of 7 to 11 is at most 0.0003164591535334058. 50 tries \n",
" 15.229641 seconds (57.00 M allocations: 26.372 GiB, 16.96% gc time)\n",
"distance squared from orbit of 7 to 12 is at most 0.4000273511887505. 50 tries \n",
" 7.188990 seconds (25.77 M allocations: 11.924 GiB, 16.79% gc time)\n",
"distance squared from orbit of 7 to 13 is at most 0.3333333385874029. 50 tries \n",
" 28.149032 seconds (105.68 M allocations: 48.897 GiB, 16.93% gc time)\n",
"distance squared from orbit of 7 to 14 is at most 1.4710941048008673e-5. 50 tries \n",
" 22.003261 seconds (82.78 M allocations: 38.298 GiB, 16.91% gc time)\n",
"distance squared from orbit of 7 to 15 is at most 0.3341689293955073. 50 tries \n",
" 15.113970 seconds (58.84 M allocations: 27.223 GiB, 17.40% gc time)\n",
"distance squared from orbit of 7 to 16 is at most 0.4000000000000576. 50 tries \n",
" 27.461151 seconds (104.63 M allocations: 48.407 GiB, 17.11% gc time)\n",
"distance squared from orbit of 7 to 17 is at most 1.263027595839269e-6. 50 tries \n",
" 27.268856 seconds (104.22 M allocations: 48.216 GiB, 17.15% gc time)\n",
"distance squared from orbit of 7 to 18 is at most 0.14287523465596075. 50 tries \n",
" 27.211635 seconds (103.86 M allocations: 48.051 GiB, 16.98% gc time)\n",
"distance squared from orbit of 7 to 19 is at most 4.6786606460233565e-6. 50 tries \n",
" 27.801922 seconds (104.06 M allocations: 48.142 GiB, 16.68% gc time)\n",
"distance squared from orbit of 7 to 20 is at most 0.00036452536926646613. 50 tries \n",
" 26.204849 seconds (98.17 M allocations: 45.409 GiB, 16.66% gc time)\n",
"distance squared from orbit of 7 to 21 is at most 0.40024849027647497. 50 tries \n",
" 0.549345 seconds (2.08 M allocations: 983.701 MiB, 16.08% gc time)\n",
"distance squared from orbit of 7 to 22 is at most 4.0395610234185855e-7. 1 tries \n",
" 26.720553 seconds (100.72 M allocations: 46.588 GiB, 16.69% gc time)\n",
"distance squared from orbit of 7 to 23 is at most 0.16704960052435328. 50 tries \n",
" 27.509508 seconds (104.22 M allocations: 48.212 GiB, 16.88% gc time)\n",
"distance squared from orbit of 7 to 24 is at most 0.20051249941186536. 50 tries \n",
" 26.421455 seconds (99.07 M allocations: 45.829 GiB, 16.59% gc time)\n",
"distance squared from orbit of 7 to 25 is at most 0.000348225454484231. 50 tries \n",
" 28.023742 seconds (104.92 M allocations: 48.539 GiB, 16.53% gc time)\n",
"distance squared from orbit of 7 to 26 is at most 1.3595408774010883e-5. 50 tries \n",
" 27.037474 seconds (102.77 M allocations: 47.545 GiB, 16.71% gc time)\n",
"distance squared from orbit of 7 to 27 is at most 1.6116919434028126e-5. 50 tries \n",
"\n",
" 3.109879 seconds (11.85 M allocations: 5.483 GiB, 17.02% gc time)\n",
"distance squared from orbit of 8 to 1 is at most 0.5000000000000856. 50 tries \n",
" 7.624489 seconds (28.84 M allocations: 13.341 GiB, 16.56% gc time)\n",
"distance squared from orbit of 8 to 2 is at most 0.5000005450292522. 50 tries \n",
" 14.847273 seconds (56.75 M allocations: 26.252 GiB, 16.83% gc time)\n",
"distance squared from orbit of 8 to 3 is at most 0.5000000000000409. 50 tries \n",
" 2.857877 seconds (10.87 M allocations: 5.030 GiB, 16.73% gc time)\n",
"distance squared from orbit of 8 to 4 is at most 0.33333333333335075. 50 tries \n",
" 5.005099 seconds (18.98 M allocations: 8.782 GiB, 16.64% gc time)\n",
"distance squared from orbit of 8 to 5 is at most 0.7187500000006197. 50 tries \n",
" 27.114321 seconds (103.49 M allocations: 47.879 GiB, 16.69% gc time)\n",
"distance squared from orbit of 8 to 6 is at most 0.33333469488461986. 50 tries \n",
" 7.933539 seconds (30.26 M allocations: 14.006 GiB, 16.82% gc time)\n",
"distance squared from orbit of 8 to 7 is at most 0.5941322384156831. 50 tries \n",
" 0.014434 seconds (65.18 k allocations: 30.890 MiB)\n",
"distance squared from orbit of 8 to 8 is at most 1.1343903069217088e-12. 1 tries \n",
" 4.039418 seconds (13.47 M allocations: 6.231 GiB, 25.76% gc time)\n",
"distance squared from orbit of 8 to 9 is at most 0.25000000000004585. 50 tries \n",
" 4.034227 seconds (14.70 M allocations: 6.803 GiB, 19.40% gc time)\n",
"distance squared from orbit of 8 to 10 is at most 0.39421966414260984. 50 tries \n",
" 27.719875 seconds (100.49 M allocations: 46.486 GiB, 19.45% gc time)\n",
"distance squared from orbit of 8 to 11 is at most 0.33333498896412356. 50 tries \n",
" 17.425178 seconds (63.20 M allocations: 29.234 GiB, 19.37% gc time)\n",
"distance squared from orbit of 8 to 12 is at most 0.20000000000018708. 50 tries \n",
" 12.853776 seconds (46.33 M allocations: 21.435 GiB, 19.33% gc time)\n",
"distance squared from orbit of 8 to 13 is at most 0.16666720871693394. 50 tries \n",
" 28.981047 seconds (101.72 M allocations: 47.051 GiB, 19.11% gc time)\n",
"distance squared from orbit of 8 to 14 is at most 2.7021844120461495e-5. 50 tries \n",
" 8.281726 seconds (29.91 M allocations: 13.838 GiB, 19.26% gc time)\n",
"distance squared from orbit of 8 to 15 is at most 0.25000000000201095. 50 tries \n",
" 7.412645 seconds (27.11 M allocations: 12.544 GiB, 19.34% gc time)\n",
"distance squared from orbit of 8 to 16 is at most 0.8000000000002945. 50 tries \n",
" 28.640436 seconds (104.13 M allocations: 48.175 GiB, 19.27% gc time)\n",
"distance squared from orbit of 8 to 17 is at most 0.3260805082740401. 50 tries \n",
" 12.177702 seconds (44.30 M allocations: 20.493 GiB, 19.25% gc time)\n",
"distance squared from orbit of 8 to 18 is at most 6.06350248588218e-7. 23 tries \n",
" 29.583780 seconds (103.61 M allocations: 47.930 GiB, 18.98% gc time)\n",
"distance squared from orbit of 8 to 19 is at most 0.0001400925454269904. 50 tries \n",
" 30.582513 seconds (103.91 M allocations: 48.074 GiB, 18.89% gc time)\n",
"distance squared from orbit of 8 to 20 is at most 1.5817583094188067e-6. 50 tries \n",
" 4.848277 seconds (17.01 M allocations: 7.870 GiB, 19.03% gc time)\n",
"distance squared from orbit of 8 to 21 is at most 0.40000000000043157. 50 tries \n",
" 29.868445 seconds (103.60 M allocations: 47.927 GiB, 18.70% gc time)\n",
"distance squared from orbit of 8 to 22 is at most 0.5000008984852868. 50 tries \n",
" 18.469470 seconds (68.04 M allocations: 31.476 GiB, 18.95% gc time)\n",
"distance squared from orbit of 8 to 23 is at most 0.1666680786297943. 50 tries \n",
" 15.869424 seconds (55.84 M allocations: 25.833 GiB, 18.69% gc time)\n",
"distance squared from orbit of 8 to 24 is at most 0.20643622130016534. 50 tries \n",
" 27.982808 seconds (104.38 M allocations: 48.289 GiB, 19.00% gc time)\n",
"distance squared from orbit of 8 to 25 is at most 2.313516512584589e-6. 50 tries \n",
" 27.361073 seconds (105.22 M allocations: 48.677 GiB, 19.17% gc time)\n",
"distance squared from orbit of 8 to 26 is at most 0.0002165076757744574. 50 tries \n",
" 30.700533 seconds (104.63 M allocations: 48.407 GiB, 18.58% gc time)\n",
"distance squared from orbit of 8 to 27 is at most 5.114882964073646e-6. 50 tries \n",
"\n",
" 2.961819 seconds (8.76 M allocations: 4.053 GiB, 16.13% gc time)\n",
"distance squared from orbit of 9 to 1 is at most 0.5000000000001593. 50 tries \n",
" 24.198943 seconds (73.24 M allocations: 33.885 GiB, 17.68% gc time)\n",
"distance squared from orbit of 9 to 2 is at most 0.50000020740378. 50 tries \n",
" 15.709485 seconds (57.56 M allocations: 26.630 GiB, 18.55% gc time)\n",
"distance squared from orbit of 9 to 3 is at most 0.5669872981090082. 50 tries \n",
" 3.764879 seconds (14.47 M allocations: 6.698 GiB, 19.01% gc time)\n",
"distance squared from orbit of 9 to 4 is at most 0.3333333333333543. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 3.124933 seconds (10.40 M allocations: 4.812 GiB, 16.66% gc time)\n",
"distance squared from orbit of 9 to 5 is at most 0.6666666666668035. 50 tries \n",
" 33.151630 seconds (86.39 M allocations: 39.963 GiB, 16.42% gc time)\n",
"distance squared from orbit of 9 to 6 is at most 0.3333335519650089. 50 tries \n",
" 7.305532 seconds (22.30 M allocations: 10.321 GiB, 17.10% gc time)\n",
"distance squared from orbit of 9 to 7 is at most 0.5494262597416593. 50 tries \n",
" 21.923187 seconds (57.36 M allocations: 26.534 GiB, 16.49% gc time)\n",
"distance squared from orbit of 9 to 8 is at most 0.25000062794329564. 50 tries \n",
" 1.426439 seconds (5.31 M allocations: 2.456 GiB, 18.86% gc time)\n",
"distance squared from orbit of 9 to 9 is at most 1.0162201993057261e-13. 32 tries \n",
" 12.744352 seconds (46.17 M allocations: 21.359 GiB, 18.54% gc time)\n",
"distance squared from orbit of 9 to 10 is at most 0.33333333340210947. 50 tries \n",
" 28.973592 seconds (103.38 M allocations: 47.824 GiB, 19.11% gc time)\n",
"distance squared from orbit of 9 to 11 is at most 0.3333335728668139. 50 tries \n",
" 1.825778 seconds (6.14 M allocations: 2.838 GiB, 18.33% gc time)\n",
"distance squared from orbit of 9 to 12 is at most 3.627459783330791e-7. 4 tries \n",
" 1.831587 seconds (6.44 M allocations: 2.977 GiB, 18.07% gc time)\n",
"distance squared from orbit of 9 to 13 is at most 8.205210976586141e-7. 7 tries \n",
" 30.200225 seconds (103.79 M allocations: 48.015 GiB, 18.21% gc time)\n",
"distance squared from orbit of 9 to 14 is at most 0.25008800443359147. 50 tries \n",
" 0.572745 seconds (2.03 M allocations: 963.184 MiB, 18.71% gc time)\n",
"distance squared from orbit of 9 to 15 is at most 1.5626980557001169e-7. 2 tries \n",
" 4.995786 seconds (17.75 M allocations: 8.214 GiB, 18.12% gc time)\n",
"distance squared from orbit of 9 to 16 is at most 0.6665527338479017. 50 tries \n",
" 27.657323 seconds (104.36 M allocations: 48.282 GiB, 18.54% gc time)\n",
"distance squared from orbit of 9 to 17 is at most 0.32607727590922786. 50 tries \n",
" 1.903828 seconds (6.71 M allocations: 3.104 GiB, 18.10% gc time)\n",
"distance squared from orbit of 9 to 18 is at most 8.380347914419087e-7. 4 tries \n",
" 29.552899 seconds (103.13 M allocations: 47.708 GiB, 18.15% gc time)\n",
"distance squared from orbit of 9 to 19 is at most 0.00020692670696793178. 50 tries \n",
" 29.263070 seconds (103.27 M allocations: 47.771 GiB, 18.14% gc time)\n",
"distance squared from orbit of 9 to 20 is at most 0.00015347763063687313. 50 tries \n",
" 3.359490 seconds (12.69 M allocations: 5.872 GiB, 18.68% gc time)\n",
"distance squared from orbit of 9 to 21 is at most 0.20000000000012713. 50 tries \n",
" 28.813744 seconds (103.96 M allocations: 48.094 GiB, 18.42% gc time)\n",
"distance squared from orbit of 9 to 22 is at most 0.5000004716709037. 50 tries \n",
" 5.573076 seconds (20.53 M allocations: 9.498 GiB, 18.73% gc time)\n",
"distance squared from orbit of 9 to 23 is at most 9.616406833534977e-7. 11 tries \n",
" 11.543382 seconds (43.41 M allocations: 20.087 GiB, 18.59% gc time)\n",
"distance squared from orbit of 9 to 24 is at most 0.20000000000016405. 50 tries \n",
" 29.741837 seconds (104.36 M allocations: 48.280 GiB, 18.29% gc time)\n",
"distance squared from orbit of 9 to 25 is at most 1.5841012458733496e-6. 50 tries \n",
" 29.283830 seconds (104.56 M allocations: 48.374 GiB, 18.18% gc time)\n",
"distance squared from orbit of 9 to 26 is at most 0.00022158840544416112. 50 tries \n",
" 30.211139 seconds (103.97 M allocations: 48.101 GiB, 17.94% gc time)\n",
"distance squared from orbit of 9 to 27 is at most 7.450473630159455e-5. 50 tries \n",
"\n",
" 4.516494 seconds (15.08 M allocations: 6.975 GiB, 17.67% gc time)\n",
"distance squared from orbit of 10 to 1 is at most 0.6666666667160943. 50 tries \n",
" 15.219926 seconds (52.31 M allocations: 24.200 GiB, 17.85% gc time)\n",
"distance squared from orbit of 10 to 2 is at most 0.5000000015327628. 50 tries \n",
" 6.664938 seconds (21.99 M allocations: 10.174 GiB, 17.66% gc time)\n",
"distance squared from orbit of 10 to 3 is at most 0.6666666666673273. 50 tries \n",
" 11.473752 seconds (41.01 M allocations: 18.972 GiB, 18.01% gc time)\n",
"distance squared from orbit of 10 to 4 is at most 0.5000000000000194. 50 tries \n",
" 11.118298 seconds (38.88 M allocations: 17.990 GiB, 17.89% gc time)\n",
"distance squared from orbit of 10 to 5 is at most 0.6666666666756451. 50 tries \n",
" 26.237035 seconds (100.09 M allocations: 46.301 GiB, 18.39% gc time)\n",
"distance squared from orbit of 10 to 6 is at most 0.33333706503559646. 50 tries \n",
" 8.459181 seconds (27.23 M allocations: 12.602 GiB, 17.46% gc time)\n",
"distance squared from orbit of 10 to 7 is at most 0.5588006533942114. 50 tries \n",
" 11.030794 seconds (37.87 M allocations: 17.520 GiB, 17.76% gc time)\n",
"distance squared from orbit of 10 to 8 is at most 0.48652147143479696. 50 tries \n",
" 5.115649 seconds (17.75 M allocations: 8.214 GiB, 17.83% gc time)\n",
"distance squared from orbit of 10 to 9 is at most 0.5000000000056746. 50 tries \n",
" 0.669451 seconds (2.36 M allocations: 1.090 GiB, 17.68% gc time)\n",
"distance squared from orbit of 10 to 10 is at most 1.2999355279435612e-13. 3 tries \n",
" 28.854682 seconds (101.05 M allocations: 46.748 GiB, 17.97% gc time)\n",
"distance squared from orbit of 10 to 11 is at most 0.3333365197032112. 50 tries \n",
" 25.838623 seconds (98.10 M allocations: 45.383 GiB, 18.32% gc time)\n",
"distance squared from orbit of 10 to 12 is at most 0.4000058448779489. 50 tries \n",
" 0.672174 seconds (2.53 M allocations: 1.170 GiB, 18.69% gc time)\n",
"distance squared from orbit of 10 to 13 is at most 1.4204618059276604e-10. 5 tries \n",
" 27.764545 seconds (103.17 M allocations: 47.727 GiB, 18.16% gc time)\n",
"distance squared from orbit of 10 to 14 is at most 0.0001335380686589406. 50 tries \n",
" 13.498458 seconds (49.72 M allocations: 23.005 GiB, 18.18% gc time)\n",
"distance squared from orbit of 10 to 15 is at most 0.33334115263219355. 50 tries \n",
" 9.398169 seconds (33.84 M allocations: 15.658 GiB, 18.02% gc time)\n",
"distance squared from orbit of 10 to 16 is at most 0.7000000000322955. 50 tries \n",
" 29.052623 seconds (103.13 M allocations: 47.718 GiB, 17.87% gc time)\n",
"distance squared from orbit of 10 to 17 is at most 0.3260827945349805. 50 tries \n",
" 28.941235 seconds (101.01 M allocations: 46.727 GiB, 17.70% gc time)\n",
"distance squared from orbit of 10 to 18 is at most 3.741276907243004e-6. 50 tries \n",
" 29.178406 seconds (101.98 M allocations: 47.178 GiB, 17.91% gc time)\n",
"distance squared from orbit of 10 to 19 is at most 0.00015499658637500342. 50 tries \n",
" 26.042744 seconds (93.82 M allocations: 43.403 GiB, 17.81% gc time)\n",
"distance squared from orbit of 10 to 20 is at most 0.00046491331215565605. 50 tries \n",
" 11.678403 seconds (42.44 M allocations: 19.634 GiB, 17.87% gc time)\n",
"distance squared from orbit of 10 to 21 is at most 0.20000000003043522. 50 tries \n",
" 27.308017 seconds (104.00 M allocations: 48.114 GiB, 18.34% gc time)\n",
"distance squared from orbit of 10 to 22 is at most 0.5000028926686826. 50 tries \n",
" 0.943517 seconds (3.57 M allocations: 1.654 GiB, 17.89% gc time)\n",
"distance squared from orbit of 10 to 23 is at most 1.943331398265633e-10. 2 tries \n",
" 12.408616 seconds (47.10 M allocations: 21.792 GiB, 18.15% gc time)\n",
"distance squared from orbit of 10 to 24 is at most 0.20000008817164525. 50 tries \n",
" 27.496953 seconds (104.70 M allocations: 48.438 GiB, 18.14% gc time)\n",
"distance squared from orbit of 10 to 25 is at most 3.974033574189082e-6. 50 tries \n",
" 27.257139 seconds (103.90 M allocations: 48.067 GiB, 18.11% gc time)\n",
"distance squared from orbit of 10 to 26 is at most 2.593119713740453e-5. 50 tries \n",
" 27.222820 seconds (103.84 M allocations: 48.041 GiB, 18.15% gc time)\n",
"distance squared from orbit of 10 to 27 is at most 0.00011879476687348792. 50 tries \n",
"\n",
" 10.556138 seconds (40.36 M allocations: 18.675 GiB, 18.15% gc time)\n",
"distance squared from orbit of 11 to 1 is at most 0.9656654775749461. 50 tries \n",
" 12.078690 seconds (45.96 M allocations: 21.267 GiB, 18.00% gc time)\n",
"distance squared from orbit of 11 to 2 is at most 0.5000000675766444. 50 tries \n",
" 15.796797 seconds (60.03 M allocations: 27.778 GiB, 18.04% gc time)\n",
"distance squared from orbit of 11 to 3 is at most 0.6666668021018932. 50 tries \n",
" 13.756259 seconds (52.41 M allocations: 24.245 GiB, 17.90% gc time)\n",
"distance squared from orbit of 11 to 4 is at most 0.6666671730709346. 50 tries \n",
" 24.550581 seconds (92.67 M allocations: 42.875 GiB, 17.81% gc time)\n",
"distance squared from orbit of 11 to 5 is at most 0.5000000067626225. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 2.321080 seconds (8.94 M allocations: 4.135 GiB, 17.47% gc time)\n",
"distance squared from orbit of 11 to 6 is at most 0.16666666666674113. 50 tries \n",
" 30.623346 seconds (104.49 M allocations: 48.343 GiB, 16.72% gc time)\n",
"distance squared from orbit of 11 to 7 is at most 0.5000168471779197. 50 tries \n",
" 26.730955 seconds (98.27 M allocations: 45.464 GiB, 17.60% gc time)\n",
"distance squared from orbit of 11 to 8 is at most 0.5000002170686592. 50 tries \n",
" 13.744389 seconds (49.56 M allocations: 22.928 GiB, 17.47% gc time)\n",
"distance squared from orbit of 11 to 9 is at most 0.7268409429801785. 50 tries \n",
" 15.059107 seconds (56.41 M allocations: 26.100 GiB, 17.76% gc time)\n",
"distance squared from orbit of 11 to 10 is at most 0.460784766899273. 50 tries \n",
" 0.018761 seconds (89.50 k allocations: 42.417 MiB)\n",
"distance squared from orbit of 11 to 11 is at most 4.595068364263424e-13. 1 tries \n",
" 25.284216 seconds (89.99 M allocations: 41.633 GiB, 17.40% gc time)\n",
"distance squared from orbit of 11 to 12 is at most 0.40000001924218953. 50 tries \n",
" 14.707140 seconds (50.77 M allocations: 23.487 GiB, 17.45% gc time)\n",
"distance squared from orbit of 11 to 13 is at most 0.16666679187421402. 50 tries \n",
" 20.259820 seconds (78.62 M allocations: 36.379 GiB, 17.66% gc time)\n",
"distance squared from orbit of 11 to 14 is at most 0.3523805396127157. 50 tries \n",
" 16.393541 seconds (63.57 M allocations: 29.412 GiB, 17.73% gc time)\n",
"distance squared from orbit of 11 to 15 is at most 0.5000000009940508. 50 tries \n",
" 26.664861 seconds (102.34 M allocations: 47.349 GiB, 17.82% gc time)\n",
"distance squared from orbit of 11 to 16 is at most 0.4000000832701194. 50 tries \n",
" 18.854756 seconds (72.96 M allocations: 33.754 GiB, 17.72% gc time)\n",
"distance squared from orbit of 11 to 17 is at most 1.1476213308831052e-6. 50 tries \n",
" 1.076345 seconds (4.18 M allocations: 1.936 GiB, 17.57% gc time)\n",
"distance squared from orbit of 11 to 18 is at most 3.1807084935053145e-7. 2 tries \n",
" 29.040376 seconds (103.53 M allocations: 47.895 GiB, 17.34% gc time)\n",
"distance squared from orbit of 11 to 19 is at most 0.14285764945558704. 50 tries \n",
" 29.026779 seconds (104.67 M allocations: 48.425 GiB, 17.28% gc time)\n",
"distance squared from orbit of 11 to 20 is at most 1.3610424828204714e-6. 50 tries \n",
" 24.920541 seconds (92.45 M allocations: 42.772 GiB, 17.43% gc time)\n",
"distance squared from orbit of 11 to 21 is at most 0.40000030187178515. 50 tries \n",
" 27.265000 seconds (105.73 M allocations: 48.918 GiB, 17.63% gc time)\n",
"distance squared from orbit of 11 to 22 is at most 1.235564730351733e-5. 50 tries \n",
" 27.229692 seconds (103.85 M allocations: 48.046 GiB, 17.57% gc time)\n",
"distance squared from orbit of 11 to 23 is at most 0.1666670423896691. 50 tries \n",
" 21.821213 seconds (81.25 M allocations: 37.588 GiB, 17.38% gc time)\n",
"distance squared from orbit of 11 to 24 is at most 0.400000024519607. 50 tries \n",
" 6.278484 seconds (23.18 M allocations: 10.724 GiB, 17.36% gc time)\n",
"distance squared from orbit of 11 to 25 is at most 7.599419494807388e-7. 11 tries \n",
" 27.778000 seconds (104.93 M allocations: 48.546 GiB, 17.44% gc time)\n",
"distance squared from orbit of 11 to 26 is at most 0.1428571562857499. 50 tries \n",
" 0.555436 seconds (2.08 M allocations: 986.736 MiB, 16.44% gc time)\n",
"distance squared from orbit of 11 to 27 is at most 2.4085920933492915e-8. 1 tries \n",
"\n",
" 1.727838 seconds (6.11 M allocations: 2.829 GiB, 17.33% gc time)\n",
"distance squared from orbit of 12 to 1 is at most 0.5000000000000222. 50 tries \n",
" 7.972845 seconds (29.85 M allocations: 13.812 GiB, 17.56% gc time)\n",
"distance squared from orbit of 12 to 2 is at most 0.5000000000000526. 50 tries \n",
" 11.335739 seconds (40.83 M allocations: 18.892 GiB, 17.27% gc time)\n",
"distance squared from orbit of 12 to 3 is at most 0.5669872981079116. 50 tries \n",
" 3.743936 seconds (13.39 M allocations: 6.198 GiB, 16.98% gc time)\n",
"distance squared from orbit of 12 to 4 is at most 0.33333333333337867. 50 tries \n",
" 3.745633 seconds (14.23 M allocations: 6.586 GiB, 17.56% gc time)\n",
"distance squared from orbit of 12 to 5 is at most 0.7500000000002189. 50 tries \n",
" 20.194822 seconds (75.04 M allocations: 34.718 GiB, 17.31% gc time)\n",
"distance squared from orbit of 12 to 6 is at most 0.3333338359033596. 50 tries \n",
" 13.172110 seconds (50.61 M allocations: 23.420 GiB, 17.34% gc time)\n",
"distance squared from orbit of 12 to 7 is at most 0.574427077456487. 50 tries \n",
" 14.033320 seconds (54.09 M allocations: 25.018 GiB, 17.58% gc time)\n",
"distance squared from orbit of 12 to 8 is at most 0.2500001573519962. 50 tries \n",
" 2.905439 seconds (11.20 M allocations: 5.184 GiB, 17.65% gc time)\n",
"distance squared from orbit of 12 to 9 is at most 0.2500000000000293. 50 tries \n",
" 3.005022 seconds (11.58 M allocations: 5.357 GiB, 17.30% gc time)\n",
"distance squared from orbit of 12 to 10 is at most 0.394219664142602. 50 tries \n",
" 26.998552 seconds (102.96 M allocations: 47.637 GiB, 17.33% gc time)\n",
"distance squared from orbit of 12 to 11 is at most 0.33333390787683137. 50 tries \n",
" 2.720153 seconds (10.02 M allocations: 4.633 GiB, 16.88% gc time)\n",
"distance squared from orbit of 12 to 12 is at most 1.4055459779151946e-12. 6 tries \n",
" 15.204541 seconds (55.46 M allocations: 25.657 GiB, 17.18% gc time)\n",
"distance squared from orbit of 12 to 13 is at most 0.16666685980954538. 50 tries \n",
" 26.987317 seconds (100.35 M allocations: 46.419 GiB, 17.10% gc time)\n",
"distance squared from orbit of 12 to 14 is at most 0.2500423638177051. 50 tries \n",
" 15.461802 seconds (59.12 M allocations: 27.349 GiB, 17.20% gc time)\n",
"distance squared from orbit of 12 to 15 is at most 0.2500002812521955. 50 tries \n",
" 9.018813 seconds (35.30 M allocations: 16.334 GiB, 17.31% gc time)\n",
"distance squared from orbit of 12 to 16 is at most 0.6800000000002708. 50 tries \n",
" 27.226207 seconds (104.97 M allocations: 48.568 GiB, 17.30% gc time)\n",
"distance squared from orbit of 12 to 17 is at most 0.3260776262585117. 50 tries \n",
" 5.530439 seconds (19.87 M allocations: 9.191 GiB, 16.73% gc time)\n",
"distance squared from orbit of 12 to 18 is at most 9.84594644457221e-7. 12 tries \n",
" 28.320041 seconds (102.11 M allocations: 47.235 GiB, 16.94% gc time)\n",
"distance squared from orbit of 12 to 19 is at most 6.792441490591883e-5. 50 tries \n",
" 29.781758 seconds (104.06 M allocations: 48.143 GiB, 16.63% gc time)\n",
"distance squared from orbit of 12 to 20 is at most 0.0015028219113744526. 50 tries \n",
" 2.496820 seconds (7.76 M allocations: 3.593 GiB, 16.11% gc time)\n",
"distance squared from orbit of 12 to 21 is at most 0.4000000000000575. 50 tries \n",
" 29.102539 seconds (104.33 M allocations: 48.267 GiB, 20.26% gc time)\n",
"distance squared from orbit of 12 to 22 is at most 0.5000004393227095. 50 tries \n",
" 19.040265 seconds (69.76 M allocations: 32.270 GiB, 19.64% gc time)\n",
"distance squared from orbit of 12 to 23 is at most 0.16666666666693666. 50 tries \n",
" 10.379824 seconds (37.91 M allocations: 17.541 GiB, 19.62% gc time)\n",
"distance squared from orbit of 12 to 24 is at most 0.20472442739582336. 50 tries \n",
" 28.496179 seconds (104.59 M allocations: 48.389 GiB, 19.55% gc time)\n",
"distance squared from orbit of 12 to 25 is at most 2.6347902930353763e-6. 50 tries \n",
" 28.528423 seconds (106.03 M allocations: 49.055 GiB, 19.65% gc time)\n",
"distance squared from orbit of 12 to 26 is at most 0.00017821694368675138. 50 tries \n",
" 29.872675 seconds (104.98 M allocations: 48.567 GiB, 19.38% gc time)\n",
"distance squared from orbit of 12 to 27 is at most 1.2316670853102038e-5. 50 tries \n",
"\n",
" 10.251832 seconds (34.61 M allocations: 16.011 GiB, 18.94% gc time)\n",
"distance squared from orbit of 13 to 1 is at most 0.6666666666668133. 50 tries \n",
" 12.671713 seconds (44.58 M allocations: 20.625 GiB, 19.10% gc time)\n",
"distance squared from orbit of 13 to 2 is at most 0.5000000000056285. 50 tries \n",
" 10.068993 seconds (32.67 M allocations: 15.117 GiB, 18.72% gc time)\n",
"distance squared from orbit of 13 to 3 is at most 0.6666666666672385. 50 tries \n",
" 14.984132 seconds (51.09 M allocations: 23.627 GiB, 18.85% gc time)\n",
"distance squared from orbit of 13 to 4 is at most 0.6273220037501249. 50 tries \n",
" 10.689727 seconds (33.70 M allocations: 15.592 GiB, 18.70% gc time)\n",
"distance squared from orbit of 13 to 5 is at most 0.6666666666669774. 50 tries \n",
" 25.562757 seconds (89.66 M allocations: 41.480 GiB, 18.89% gc time)\n",
"distance squared from orbit of 13 to 6 is at most 0.33333407108394236. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 2.463836 seconds (8.81 M allocations: 4.076 GiB, 18.88% gc time)\n",
"distance squared from orbit of 13 to 7 is at most 0.5609503356752914. 50 tries \n",
" 20.271169 seconds (71.63 M allocations: 33.140 GiB, 18.85% gc time)\n",
"distance squared from orbit of 13 to 8 is at most 0.48651951039500657. 50 tries \n",
" 12.088974 seconds (43.14 M allocations: 19.958 GiB, 18.83% gc time)\n",
"distance squared from orbit of 13 to 9 is at most 0.5000000000001109. 50 tries \n",
" 17.554191 seconds (62.56 M allocations: 28.943 GiB, 18.78% gc time)\n",
"distance squared from orbit of 13 to 10 is at most 0.33333333333340814. 50 tries \n",
" 29.285632 seconds (104.64 M allocations: 48.409 GiB, 18.72% gc time)\n",
"distance squared from orbit of 13 to 11 is at most 0.33333438266905774. 50 tries \n",
" 24.687138 seconds (87.97 M allocations: 40.690 GiB, 18.65% gc time)\n",
"distance squared from orbit of 13 to 12 is at most 0.40000010433417926. 50 tries \n",
" 0.015678 seconds (70.18 k allocations: 33.263 MiB)\n",
"distance squared from orbit of 13 to 13 is at most 1.4547037682119705e-12. 1 tries \n",
" 30.082097 seconds (100.46 M allocations: 46.477 GiB, 18.45% gc time)\n",
"distance squared from orbit of 13 to 14 is at most 0.2501408277584667. 50 tries \n",
" 21.005924 seconds (62.98 M allocations: 29.134 GiB, 18.42% gc time)\n",
"distance squared from orbit of 13 to 15 is at most 0.33333349125856765. 50 tries \n",
" 11.392570 seconds (33.99 M allocations: 15.729 GiB, 18.38% gc time)\n",
"distance squared from orbit of 13 to 16 is at most 0.7000000000004797. 50 tries \n",
" 35.718416 seconds (105.20 M allocations: 48.673 GiB, 18.18% gc time)\n",
"distance squared from orbit of 13 to 17 is at most 0.3260778430985924. 50 tries \n",
" 14.002194 seconds (39.41 M allocations: 18.233 GiB, 17.93% gc time)\n",
"distance squared from orbit of 13 to 18 is at most 6.70577031519286e-7. 20 tries \n",
" 36.916782 seconds (102.83 M allocations: 47.570 GiB, 17.95% gc time)\n",
"distance squared from orbit of 13 to 19 is at most 0.00013169016679439327. 50 tries \n",
" 34.938504 seconds (104.24 M allocations: 48.226 GiB, 18.30% gc time)\n",
"distance squared from orbit of 13 to 20 is at most 0.0013380421314302356. 50 tries \n",
" 20.690029 seconds (52.35 M allocations: 24.216 GiB, 17.62% gc time)\n",
"distance squared from orbit of 13 to 21 is at most 0.20000000147282754. 50 tries \n",
" 39.261454 seconds (105.23 M allocations: 48.683 GiB, 17.56% gc time)\n",
"distance squared from orbit of 13 to 22 is at most 0.5000009608537564. 50 tries \n",
" 0.716748 seconds (1.98 M allocations: 939.010 MiB, 16.82% gc time)\n",
"distance squared from orbit of 13 to 23 is at most 3.613115657003716e-9. 1 tries \n",
" 26.084837 seconds (73.51 M allocations: 34.007 GiB, 17.72% gc time)\n",
"distance squared from orbit of 13 to 24 is at most 0.20000008120173104. 50 tries \n",
" 23.871180 seconds (66.90 M allocations: 30.953 GiB, 17.63% gc time)\n",
"distance squared from orbit of 13 to 25 is at most 4.825120953945364e-7. 32 tries \n",
" 38.631237 seconds (105.90 M allocations: 48.997 GiB, 17.61% gc time)\n",
"distance squared from orbit of 13 to 26 is at most 2.916569317815408e-5. 50 tries \n",
" 38.669593 seconds (104.29 M allocations: 48.249 GiB, 17.35% gc time)\n",
"distance squared from orbit of 13 to 27 is at most 0.00012852355615701453. 50 tries \n",
"\n",
" 9.868911 seconds (27.95 M allocations: 12.930 GiB, 17.65% gc time)\n",
"distance squared from orbit of 14 to 1 is at most 1.0000000000000768. 50 tries \n",
" 14.067227 seconds (39.54 M allocations: 18.297 GiB, 17.46% gc time)\n",
"distance squared from orbit of 14 to 2 is at most 0.5000000308592726. 50 tries \n",
" 12.971384 seconds (36.17 M allocations: 16.736 GiB, 17.33% gc time)\n",
"distance squared from orbit of 14 to 3 is at most 0.6666666666667155. 50 tries \n",
" 19.891783 seconds (55.58 M allocations: 25.726 GiB, 17.51% gc time)\n",
"distance squared from orbit of 14 to 4 is at most 0.6666676241545804. 50 tries \n",
" 33.371309 seconds (95.56 M allocations: 44.211 GiB, 17.52% gc time)\n",
"distance squared from orbit of 14 to 5 is at most 0.7500002842699722. 50 tries \n",
" 22.753138 seconds (62.77 M allocations: 29.043 GiB, 17.35% gc time)\n",
"distance squared from orbit of 14 to 6 is at most 0.3333335823463945. 50 tries \n",
" 26.549663 seconds (76.68 M allocations: 35.477 GiB, 17.53% gc time)\n",
"distance squared from orbit of 14 to 7 is at most 0.605466805398357. 50 tries \n",
" 33.459122 seconds (93.05 M allocations: 43.047 GiB, 17.33% gc time)\n",
"distance squared from orbit of 14 to 8 is at most 0.4865505027031861. 50 tries \n",
" 23.832403 seconds (61.81 M allocations: 28.600 GiB, 16.77% gc time)\n",
"distance squared from orbit of 14 to 9 is at most 0.7268408375253317. 50 tries \n",
" 34.956718 seconds (94.92 M allocations: 43.932 GiB, 17.20% gc time)\n",
"distance squared from orbit of 14 to 10 is at most 0.4607847497730677. 50 tries \n",
" 35.045413 seconds (89.76 M allocations: 41.533 GiB, 16.57% gc time)\n",
"distance squared from orbit of 14 to 11 is at most 0.333333977708501. 50 tries \n",
" 38.418134 seconds (99.53 M allocations: 46.040 GiB, 16.78% gc time)\n",
"distance squared from orbit of 14 to 12 is at most 0.4000860788803925. 50 tries \n",
" 29.290310 seconds (79.05 M allocations: 36.589 GiB, 17.25% gc time)\n",
"distance squared from orbit of 14 to 13 is at most 0.16666670501096717. 50 tries \n",
" 0.024491 seconds (70.89 k allocations: 33.601 MiB)\n",
"distance squared from orbit of 14 to 14 is at most 8.009804883804076e-13. 1 tries \n",
" 34.642495 seconds (95.90 M allocations: 44.365 GiB, 17.17% gc time)\n",
"distance squared from orbit of 14 to 15 is at most 0.5000011254048706. 50 tries \n",
" 8.096959 seconds (21.67 M allocations: 10.027 GiB, 16.94% gc time)\n",
"distance squared from orbit of 14 to 16 is at most 0.800000000000152. 50 tries \n",
" 36.368138 seconds (99.97 M allocations: 46.256 GiB, 17.05% gc time)\n",
"distance squared from orbit of 14 to 17 is at most 0.3260774909408134. 50 tries \n",
" 5.664293 seconds (15.23 M allocations: 7.048 GiB, 16.74% gc time)\n",
"distance squared from orbit of 14 to 18 is at most 8.589828039503053e-7. 13 tries \n",
" 0.761016 seconds (2.11 M allocations: 999.266 MiB, 17.13% gc time)\n",
"distance squared from orbit of 14 to 19 is at most 7.23677262424707e-7. 1 tries \n",
" 38.155350 seconds (103.97 M allocations: 48.099 GiB, 16.82% gc time)\n",
"distance squared from orbit of 14 to 20 is at most 2.7703186720002404e-5. 50 tries \n",
" 22.211821 seconds (56.79 M allocations: 26.278 GiB, 16.39% gc time)\n",
"distance squared from orbit of 14 to 21 is at most 0.4000000940194731. 50 tries \n",
" 32.424902 seconds (88.20 M allocations: 40.812 GiB, 16.93% gc time)\n",
"distance squared from orbit of 14 to 22 is at most 0.5000003481361103. 50 tries \n",
" 37.970057 seconds (102.06 M allocations: 47.219 GiB, 16.80% gc time)\n",
"distance squared from orbit of 14 to 23 is at most 0.16666691853069346. 50 tries \n",
" 18.982574 seconds (51.10 M allocations: 23.639 GiB, 16.58% gc time)\n",
"distance squared from orbit of 14 to 24 is at most 0.2001726770740916. 50 tries \n",
" 38.739275 seconds (104.63 M allocations: 48.410 GiB, 16.80% gc time)\n",
"distance squared from orbit of 14 to 25 is at most 1.221372786969346e-6. 50 tries \n",
" 13.023875 seconds (35.54 M allocations: 16.441 GiB, 16.90% gc time)\n",
"distance squared from orbit of 14 to 26 is at most 6.606043966159685e-7. 18 tries \n",
" 36.626210 seconds (102.24 M allocations: 47.301 GiB, 16.93% gc time)\n",
"distance squared from orbit of 14 to 27 is at most 9.196021435595674e-6. 50 tries \n",
"\n",
" 4.866803 seconds (13.49 M allocations: 6.244 GiB, 16.89% gc time)\n",
"distance squared from orbit of 15 to 1 is at most 0.8964466094928326. 50 tries \n",
" 11.686292 seconds (31.01 M allocations: 14.349 GiB, 16.66% gc time)\n",
"distance squared from orbit of 15 to 2 is at most 0.7692257017757711. 50 tries \n",
" 13.756518 seconds (35.98 M allocations: 16.648 GiB, 16.45% gc time)\n",
"distance squared from orbit of 15 to 3 is at most 0.6473671297244358. 50 tries \n",
" 8.097566 seconds (16.06 M allocations: 7.430 GiB, 15.06% gc time)\n",
"distance squared from orbit of 15 to 4 is at most 0.666666666666749. 50 tries \n",
" 6.540937 seconds (13.30 M allocations: 6.155 GiB, 15.14% gc time)\n",
"distance squared from orbit of 15 to 5 is at most 0.806283837161994. 50 tries \n",
" 40.077092 seconds (104.68 M allocations: 48.431 GiB, 16.30% gc time)\n",
"distance squared from orbit of 15 to 6 is at most 0.500000289568463. 50 tries \n",
" 40.775239 seconds (104.74 M allocations: 48.456 GiB, 16.25% gc time)\n",
"distance squared from orbit of 15 to 7 is at most 0.6606500560504187. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 10.733165 seconds (28.64 M allocations: 13.251 GiB, 16.56% gc time)\n",
"distance squared from orbit of 15 to 8 is at most 0.2500000000002711. 50 tries \n",
" 5.483850 seconds (14.77 M allocations: 6.834 GiB, 16.36% gc time)\n",
"distance squared from orbit of 15 to 9 is at most 0.5000000000000145. 50 tries \n",
" 7.829100 seconds (21.64 M allocations: 10.013 GiB, 16.52% gc time)\n",
"distance squared from orbit of 15 to 10 is at most 0.7113248654052632. 50 tries \n",
" 36.978834 seconds (103.69 M allocations: 47.969 GiB, 16.47% gc time)\n",
"distance squared from orbit of 15 to 11 is at most 0.4587348501075406. 50 tries \n",
" 23.045578 seconds (59.58 M allocations: 27.566 GiB, 16.03% gc time)\n",
"distance squared from orbit of 15 to 12 is at most 0.40000000000028285. 50 tries \n",
" 6.489343 seconds (17.11 M allocations: 7.917 GiB, 16.16% gc time)\n",
"distance squared from orbit of 15 to 13 is at most 0.5929535825587424. 50 tries \n",
" 36.816167 seconds (96.98 M allocations: 44.867 GiB, 16.30% gc time)\n",
"distance squared from orbit of 15 to 14 is at most 0.2500408702528596. 50 tries \n",
" 0.029806 seconds (63.73 k allocations: 30.210 MiB, 35.66% gc time)\n",
"distance squared from orbit of 15 to 15 is at most 3.8396114956714096e-14. 1 tries \n",
" 10.887727 seconds (26.36 M allocations: 12.198 GiB, 15.47% gc time)\n",
"distance squared from orbit of 15 to 16 is at most 0.8534387353709587. 50 tries \n",
" 39.802017 seconds (104.77 M allocations: 48.472 GiB, 16.16% gc time)\n",
"distance squared from orbit of 15 to 17 is at most 0.41499770085894705. 50 tries \n",
" 24.708265 seconds (65.53 M allocations: 30.315 GiB, 16.16% gc time)\n",
"distance squared from orbit of 15 to 18 is at most 0.48384604060668723. 50 tries \n",
" 39.677904 seconds (104.00 M allocations: 48.113 GiB, 16.16% gc time)\n",
"distance squared from orbit of 15 to 19 is at most 8.896104882139321e-5. 50 tries \n",
" 1.568906 seconds (4.14 M allocations: 1.917 GiB, 15.62% gc time)\n",
"distance squared from orbit of 15 to 20 is at most 6.453630671211461e-7. 2 tries \n",
" 8.232971 seconds (20.31 M allocations: 9.398 GiB, 15.76% gc time)\n",
"distance squared from orbit of 15 to 21 is at most 0.20000000000006235. 50 tries \n",
" 40.757623 seconds (104.17 M allocations: 48.193 GiB, 15.92% gc time)\n",
"distance squared from orbit of 15 to 22 is at most 0.6752407509666554. 50 tries \n",
" 23.745437 seconds (62.08 M allocations: 28.719 GiB, 16.08% gc time)\n",
"distance squared from orbit of 15 to 23 is at most 0.16666689102718332. 50 tries \n",
" 22.870236 seconds (61.46 M allocations: 28.436 GiB, 16.17% gc time)\n",
"distance squared from orbit of 15 to 24 is at most 0.20000000000017318. 50 tries \n",
" 40.120707 seconds (104.93 M allocations: 48.543 GiB, 16.01% gc time)\n",
"distance squared from orbit of 15 to 25 is at most 2.5452125986484096e-6. 50 tries \n",
" 39.464695 seconds (105.50 M allocations: 48.807 GiB, 16.01% gc time)\n",
"distance squared from orbit of 15 to 26 is at most 0.0001571628786448057. 50 tries \n",
" 39.308647 seconds (103.76 M allocations: 48.003 GiB, 16.07% gc time)\n",
"distance squared from orbit of 15 to 27 is at most 1.179155506353581e-6. 50 tries \n",
"\n",
" 3.756454 seconds (9.96 M allocations: 4.609 GiB, 15.93% gc time)\n",
"distance squared from orbit of 16 to 1 is at most 1.000000000000068. 50 tries \n",
" 5.920985 seconds (15.88 M allocations: 7.348 GiB, 16.32% gc time)\n",
"distance squared from orbit of 16 to 2 is at most 0.6000000000012072. 50 tries \n",
" 9.215700 seconds (24.18 M allocations: 11.187 GiB, 15.84% gc time)\n",
"distance squared from orbit of 16 to 3 is at most 0.5000000000000384. 50 tries \n",
" 7.200994 seconds (19.01 M allocations: 8.796 GiB, 16.17% gc time)\n",
"distance squared from orbit of 16 to 4 is at most 0.8888888888890311. 50 tries \n",
" 4.719809 seconds (12.56 M allocations: 5.813 GiB, 15.78% gc time)\n",
"distance squared from orbit of 16 to 5 is at most 0.33333333333743037. 50 tries \n",
" 8.507104 seconds (22.79 M allocations: 10.547 GiB, 16.28% gc time)\n",
"distance squared from orbit of 16 to 6 is at most 0.6666675990648894. 50 tries \n",
" 39.243144 seconds (105.07 M allocations: 48.614 GiB, 15.94% gc time)\n",
"distance squared from orbit of 16 to 7 is at most 0.5000007827618808. 50 tries \n",
" 10.824946 seconds (27.81 M allocations: 12.867 GiB, 15.39% gc time)\n",
"distance squared from orbit of 16 to 8 is at most 0.5000000000002398. 50 tries \n",
" 8.141809 seconds (21.83 M allocations: 10.103 GiB, 15.35% gc time)\n",
"distance squared from orbit of 16 to 9 is at most 0.9375000000026696. 50 tries \n",
" 4.952764 seconds (13.13 M allocations: 6.077 GiB, 15.84% gc time)\n",
"distance squared from orbit of 16 to 10 is at most 0.9239074288061877. 50 tries \n",
" 39.176726 seconds (97.57 M allocations: 45.144 GiB, 15.06% gc time)\n",
"distance squared from orbit of 16 to 11 is at most 0.375000510093986. 50 tries \n",
" 10.767574 seconds (26.40 M allocations: 12.217 GiB, 15.12% gc time)\n",
"distance squared from orbit of 16 to 12 is at most 0.6000000000064633. 50 tries \n",
" 10.274039 seconds (25.54 M allocations: 11.817 GiB, 15.22% gc time)\n",
"distance squared from orbit of 16 to 13 is at most 0.6666666666691661. 50 tries \n",
" 4.721336 seconds (11.50 M allocations: 5.321 GiB, 15.53% gc time)\n",
"distance squared from orbit of 16 to 14 is at most 0.5529582073577366. 50 tries \n",
" 10.809698 seconds (26.79 M allocations: 12.397 GiB, 15.59% gc time)\n",
"distance squared from orbit of 16 to 15 is at most 0.5660880769416338. 50 tries \n",
" 0.091414 seconds (224.80 k allocations: 106.536 MiB, 16.79% gc time)\n",
"distance squared from orbit of 16 to 16 is at most 2.087065364191889e-13. 2 tries \n",
" 35.164718 seconds (85.90 M allocations: 39.747 GiB, 15.62% gc time)\n",
"distance squared from orbit of 16 to 17 is at most 0.3333342639670397. 50 tries \n",
" 19.019639 seconds (43.60 M allocations: 20.177 GiB, 15.22% gc time)\n",
"distance squared from orbit of 16 to 18 is at most 0.7142857142865391. 50 tries \n",
" 8.390632 seconds (19.16 M allocations: 8.866 GiB, 15.82% gc time)\n",
"distance squared from orbit of 16 to 19 is at most 0.40970296308438264. 50 tries \n",
" 42.419366 seconds (104.63 M allocations: 48.409 GiB, 15.02% gc time)\n",
"distance squared from orbit of 16 to 20 is at most 0.3333353667438409. 50 tries \n",
" 9.149282 seconds (22.70 M allocations: 10.505 GiB, 14.69% gc time)\n",
"distance squared from orbit of 16 to 21 is at most 0.8540207561978264. 50 tries \n",
" 3.148752 seconds (7.76 M allocations: 3.589 GiB, 15.25% gc time)\n",
"distance squared from orbit of 16 to 22 is at most 6.371313431564292e-7. 7 tries \n",
" 19.263136 seconds (49.15 M allocations: 22.741 GiB, 15.12% gc time)\n",
"distance squared from orbit of 16 to 23 is at most 0.6666666666668132. 50 tries \n",
" 6.757701 seconds (17.53 M allocations: 8.111 GiB, 15.43% gc time)\n",
"distance squared from orbit of 16 to 24 is at most 0.39726443732950906. 50 tries \n",
" 22.887605 seconds (47.07 M allocations: 21.779 GiB, 14.28% gc time)\n",
"distance squared from orbit of 16 to 25 is at most 0.500007812163765. 50 tries \n",
" 41.810656 seconds (104.64 M allocations: 48.411 GiB, 14.68% gc time)\n",
"distance squared from orbit of 16 to 26 is at most 0.14285720517019726. 50 tries \n",
" 38.576301 seconds (101.14 M allocations: 46.790 GiB, 14.79% gc time)\n",
"distance squared from orbit of 16 to 27 is at most 3.1819785362965833e-6. 50 tries \n",
"\n",
" 13.952798 seconds (38.44 M allocations: 17.781 GiB, 15.29% gc time)\n",
"distance squared from orbit of 17 to 1 is at most 1.0000000000007017. 50 tries \n",
" 7.834915 seconds (21.41 M allocations: 9.904 GiB, 15.45% gc time)\n",
"distance squared from orbit of 17 to 2 is at most 0.807549910270205. 50 tries \n",
" 16.904358 seconds (45.15 M allocations: 20.893 GiB, 15.60% gc time)\n",
"distance squared from orbit of 17 to 3 is at most 0.9078048539038761. 50 tries \n",
" 28.079226 seconds (75.63 M allocations: 34.989 GiB, 15.48% gc time)\n",
"distance squared from orbit of 17 to 4 is at most 0.6666678300960925. 50 tries \n",
" 28.435254 seconds (76.29 M allocations: 35.300 GiB, 15.18% gc time)\n",
"distance squared from orbit of 17 to 5 is at most 0.500000000567791. 50 tries \n",
" 1.988673 seconds (5.19 M allocations: 2.401 GiB, 15.06% gc time)\n",
"distance squared from orbit of 17 to 6 is at most 0.3333333333335324. 50 tries \n",
" 41.324945 seconds (104.10 M allocations: 48.166 GiB, 14.98% gc time)\n",
"distance squared from orbit of 17 to 7 is at most 0.5000000640379387. 50 tries \n",
" 36.540740 seconds (96.52 M allocations: 44.648 GiB, 15.01% gc time)\n",
"distance squared from orbit of 17 to 8 is at most 0.5000001822252076. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 22.188762 seconds (58.37 M allocations: 27.002 GiB, 14.90% gc time)\n",
"distance squared from orbit of 17 to 9 is at most 0.7500007170827269. 50 tries \n",
" 22.310952 seconds (59.34 M allocations: 27.452 GiB, 15.05% gc time)\n",
"distance squared from orbit of 17 to 10 is at most 0.7275542039827162. 50 tries \n",
" 2.361186 seconds (5.94 M allocations: 2.750 GiB, 14.70% gc time)\n",
"distance squared from orbit of 17 to 11 is at most 0.20833333333342846. 50 tries \n",
" 37.920239 seconds (94.45 M allocations: 43.698 GiB, 16.83% gc time)\n",
"distance squared from orbit of 17 to 12 is at most 0.5000008406002721. 50 tries \n",
" 25.907269 seconds (68.90 M allocations: 31.875 GiB, 18.67% gc time)\n",
"distance squared from orbit of 17 to 13 is at most 0.5833333333335727. 50 tries \n",
" 7.001707 seconds (20.64 M allocations: 9.551 GiB, 19.01% gc time)\n",
"distance squared from orbit of 17 to 14 is at most 0.35358904945503555. 50 tries \n",
" 20.675276 seconds (54.83 M allocations: 25.364 GiB, 18.40% gc time)\n",
"distance squared from orbit of 17 to 15 is at most 0.5833362809999534. 50 tries \n",
" 38.501109 seconds (98.15 M allocations: 45.411 GiB, 18.10% gc time)\n",
"distance squared from orbit of 17 to 16 is at most 0.4000000064121565. 50 tries \n",
" 0.347257 seconds (861.87 k allocations: 408.416 MiB, 17.93% gc time)\n",
"distance squared from orbit of 17 to 17 is at most 1.6519752119275584e-12. 5 tries \n",
" 12.013669 seconds (30.59 M allocations: 14.152 GiB, 18.18% gc time)\n",
"distance squared from orbit of 17 to 18 is at most 0.41666666666687474. 50 tries \n",
" 39.141433 seconds (105.11 M allocations: 48.631 GiB, 18.34% gc time)\n",
"distance squared from orbit of 17 to 19 is at most 0.14286252357548077. 50 tries \n",
" 38.555910 seconds (104.42 M allocations: 48.309 GiB, 18.26% gc time)\n",
"distance squared from orbit of 17 to 20 is at most 6.397895702854957e-6. 50 tries \n",
" 29.956854 seconds (79.93 M allocations: 36.977 GiB, 18.13% gc time)\n",
"distance squared from orbit of 17 to 21 is at most 0.40000050723038166. 50 tries \n",
" 2.349038 seconds (6.37 M allocations: 2.947 GiB, 18.26% gc time)\n",
"distance squared from orbit of 17 to 22 is at most 9.750836732961828e-7. 3 tries \n",
" 36.064311 seconds (102.06 M allocations: 47.219 GiB, 18.32% gc time)\n",
"distance squared from orbit of 17 to 23 is at most 0.16666729282721915. 50 tries \n",
" 30.383565 seconds (80.88 M allocations: 37.415 GiB, 18.02% gc time)\n",
"distance squared from orbit of 17 to 24 is at most 0.4000000738446258. 50 tries \n",
" 39.699228 seconds (104.78 M allocations: 48.477 GiB, 17.91% gc time)\n",
"distance squared from orbit of 17 to 25 is at most 1.7858696746781515e-6. 50 tries \n",
" 39.036852 seconds (102.44 M allocations: 47.393 GiB, 17.81% gc time)\n",
"distance squared from orbit of 17 to 26 is at most 0.1428573840705767. 50 tries \n",
" 21.250342 seconds (54.81 M allocations: 25.360 GiB, 17.68% gc time)\n",
"distance squared from orbit of 17 to 27 is at most 3.78833898929077e-7. 27 tries \n",
"\n",
" 16.707538 seconds (40.80 M allocations: 18.871 GiB, 17.25% gc time)\n",
"distance squared from orbit of 18 to 1 is at most 0.9656654756058254. 50 tries \n",
" 8.856627 seconds (22.08 M allocations: 10.219 GiB, 17.27% gc time)\n",
"distance squared from orbit of 18 to 2 is at most 0.5000000000001644. 50 tries \n",
" 7.000065 seconds (17.21 M allocations: 7.962 GiB, 17.08% gc time)\n",
"distance squared from orbit of 18 to 3 is at most 0.666666666671239. 50 tries \n",
" 22.805343 seconds (56.81 M allocations: 26.278 GiB, 17.43% gc time)\n",
"distance squared from orbit of 18 to 4 is at most 0.6666666706541337. 50 tries \n",
" 7.716568 seconds (20.12 M allocations: 9.307 GiB, 17.65% gc time)\n",
"distance squared from orbit of 18 to 5 is at most 0.7500000000002028. 50 tries \n",
" 1.477129 seconds (3.92 M allocations: 1.813 GiB, 17.79% gc time)\n",
"distance squared from orbit of 18 to 6 is at most 0.3333333333333851. 50 tries \n",
" 3.080476 seconds (7.93 M allocations: 3.672 GiB, 17.73% gc time)\n",
"distance squared from orbit of 18 to 7 is at most 0.6054643041586888. 50 tries \n",
" 25.771364 seconds (66.60 M allocations: 30.809 GiB, 17.59% gc time)\n",
"distance squared from orbit of 18 to 8 is at most 0.5000009538810276. 50 tries \n",
" 18.676579 seconds (48.17 M allocations: 22.283 GiB, 17.58% gc time)\n",
"distance squared from orbit of 18 to 9 is at most 0.7268408058052478. 50 tries \n",
" 18.715194 seconds (48.77 M allocations: 22.565 GiB, 17.50% gc time)\n",
"distance squared from orbit of 18 to 10 is at most 0.46078472443212115. 50 tries \n",
" 7.359386 seconds (19.02 M allocations: 8.799 GiB, 17.50% gc time)\n",
"distance squared from orbit of 18 to 11 is at most 0.3333333333334648. 50 tries \n",
" 24.624947 seconds (62.89 M allocations: 29.093 GiB, 17.37% gc time)\n",
"distance squared from orbit of 18 to 12 is at most 0.40000000000013763. 50 tries \n",
" 26.284508 seconds (65.85 M allocations: 30.466 GiB, 17.21% gc time)\n",
"distance squared from orbit of 18 to 13 is at most 0.16666666666682453. 50 tries \n",
" 20.079705 seconds (50.90 M allocations: 23.549 GiB, 17.21% gc time)\n",
"distance squared from orbit of 18 to 14 is at most 0.3523818116314326. 50 tries \n",
" 17.252057 seconds (47.89 M allocations: 22.156 GiB, 17.71% gc time)\n",
"distance squared from orbit of 18 to 15 is at most 0.500000000000154. 50 tries \n",
" 12.865038 seconds (33.60 M allocations: 15.547 GiB, 17.32% gc time)\n",
"distance squared from orbit of 18 to 16 is at most 0.800000000007334. 50 tries \n",
" 2.670733 seconds (6.70 M allocations: 3.103 GiB, 17.38% gc time)\n",
"distance squared from orbit of 18 to 17 is at most 0.32607687371707106. 50 tries \n",
" 0.022879 seconds (62.33 k allocations: 29.534 MiB)\n",
"distance squared from orbit of 18 to 18 is at most 1.3026862443528937e-12. 1 tries \n",
" 40.324173 seconds (103.33 M allocations: 47.799 GiB, 17.29% gc time)\n",
"distance squared from orbit of 18 to 19 is at most 0.142871239099267. 50 tries \n",
" 42.828465 seconds (101.79 M allocations: 47.092 GiB, 16.64% gc time)\n",
"distance squared from orbit of 18 to 20 is at most 1.1327787210726066e-5. 50 tries \n",
" 24.856007 seconds (66.13 M allocations: 30.589 GiB, 17.23% gc time)\n",
"distance squared from orbit of 18 to 21 is at most 0.4000000011321646. 50 tries \n",
" 2.850010 seconds (7.21 M allocations: 3.336 GiB, 16.88% gc time)\n",
"distance squared from orbit of 18 to 22 is at most 0.500000000000104. 50 tries \n",
" 37.133703 seconds (97.04 M allocations: 44.894 GiB, 17.20% gc time)\n",
"distance squared from orbit of 18 to 23 is at most 0.16666666960961546. 50 tries \n",
" 22.936203 seconds (59.23 M allocations: 27.401 GiB, 17.20% gc time)\n",
"distance squared from orbit of 18 to 24 is at most 0.4000012916451674. 50 tries \n",
" 0.784109 seconds (2.09 M allocations: 991.138 MiB, 16.94% gc time)\n",
"distance squared from orbit of 18 to 25 is at most 2.2542424581964638e-8. 1 tries \n",
" 40.385182 seconds (105.67 M allocations: 48.888 GiB, 17.11% gc time)\n",
"distance squared from orbit of 18 to 26 is at most 0.14285847807506027. 50 tries \n",
" 42.798870 seconds (105.80 M allocations: 48.950 GiB, 16.65% gc time)\n",
"distance squared from orbit of 18 to 27 is at most 1.6852438882707318e-6. 50 tries \n",
"\n",
" 30.378275 seconds (79.19 M allocations: 36.633 GiB, 17.20% gc time)\n",
"distance squared from orbit of 19 to 1 is at most 0.9656654787732917. 50 tries \n",
" 27.817428 seconds (73.21 M allocations: 33.870 GiB, 17.20% gc time)\n",
"distance squared from orbit of 19 to 2 is at most 0.7692257052321999. 50 tries \n",
" 18.496147 seconds (48.31 M allocations: 22.352 GiB, 17.08% gc time)\n",
"distance squared from orbit of 19 to 3 is at most 0.945712162295899. 50 tries \n",
" 26.653394 seconds (69.11 M allocations: 31.980 GiB, 17.10% gc time)\n",
"distance squared from orbit of 19 to 4 is at most 0.6666667671993534. 50 tries \n",
" 33.847507 seconds (89.19 M allocations: 41.266 GiB, 16.96% gc time)\n",
"distance squared from orbit of 19 to 5 is at most 0.8285249821027831. 50 tries \n",
" 37.595056 seconds (105.14 M allocations: 48.645 GiB, 17.10% gc time)\n",
"distance squared from orbit of 19 to 6 is at most 0.5000006275276936. 50 tries \n",
" 12.912196 seconds (33.78 M allocations: 15.633 GiB, 16.84% gc time)\n",
"distance squared from orbit of 19 to 7 is at most 0.6611185183610793. 50 tries \n",
" 26.190880 seconds (67.77 M allocations: 31.352 GiB, 17.00% gc time)\n",
"distance squared from orbit of 19 to 8 is at most 0.4865189739360442. 50 tries \n",
" 13.721093 seconds (38.83 M allocations: 17.969 GiB, 17.02% gc time)\n",
"distance squared from orbit of 19 to 9 is at most 0.7500000000001447. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 31.997677 seconds (88.74 M allocations: 41.063 GiB, 17.00% gc time)\n",
"distance squared from orbit of 19 to 10 is at most 0.7275530212949703. 50 tries \n",
" 39.679019 seconds (104.50 M allocations: 48.349 GiB, 16.83% gc time)\n",
"distance squared from orbit of 19 to 11 is at most 0.4587352502309134. 50 tries \n",
" 34.517367 seconds (91.50 M allocations: 42.328 GiB, 16.75% gc time)\n",
"distance squared from orbit of 19 to 12 is at most 0.40000000327445356. 50 tries \n",
" 27.668681 seconds (73.56 M allocations: 34.039 GiB, 16.74% gc time)\n",
"distance squared from orbit of 19 to 13 is at most 0.6145184472614486. 50 tries \n",
" 6.555880 seconds (17.19 M allocations: 7.952 GiB, 16.85% gc time)\n",
"distance squared from orbit of 19 to 14 is at most 0.2500000000000806. 50 tries \n",
" 27.660290 seconds (72.97 M allocations: 33.754 GiB, 16.81% gc time)\n",
"distance squared from orbit of 19 to 15 is at most 0.3334064953056072. 50 tries \n",
" 13.502795 seconds (35.60 M allocations: 16.473 GiB, 16.82% gc time)\n",
"distance squared from orbit of 19 to 16 is at most 0.8750040127330613. 50 tries \n",
" 40.741086 seconds (105.43 M allocations: 48.778 GiB, 16.53% gc time)\n",
"distance squared from orbit of 19 to 17 is at most 0.4149981207879089. 50 tries \n",
" 37.405775 seconds (97.75 M allocations: 45.223 GiB, 16.64% gc time)\n",
"distance squared from orbit of 19 to 18 is at most 0.5000007083702281. 50 tries \n",
" 0.040869 seconds (122.43 k allocations: 58.016 MiB)\n",
"distance squared from orbit of 19 to 19 is at most 7.987535608287634e-13. 1 tries \n",
" 21.277405 seconds (54.82 M allocations: 25.362 GiB, 16.49% gc time)\n",
"distance squared from orbit of 19 to 20 is at most 7.246916594675523e-7. 26 tries \n",
" 16.832716 seconds (45.73 M allocations: 21.179 GiB, 16.72% gc time)\n",
"distance squared from orbit of 19 to 21 is at most 0.40000005246270715. 50 tries \n",
" 38.080544 seconds (105.33 M allocations: 48.734 GiB, 16.83% gc time)\n",
"distance squared from orbit of 19 to 22 is at most 0.6752413585987581. 50 tries \n",
" 18.655712 seconds (49.59 M allocations: 22.963 GiB, 16.42% gc time)\n",
"distance squared from orbit of 19 to 23 is at most 0.1666667237341603. 50 tries \n",
" 32.420392 seconds (92.18 M allocations: 42.648 GiB, 16.57% gc time)\n",
"distance squared from orbit of 19 to 24 is at most 0.20003145517115023. 50 tries \n",
" 3.657610 seconds (10.97 M allocations: 5.076 GiB, 17.13% gc time)\n",
"distance squared from orbit of 19 to 25 is at most 4.431671039716268e-7. 8 tries \n",
" 6.732152 seconds (18.91 M allocations: 8.750 GiB, 16.57% gc time)\n",
"distance squared from orbit of 19 to 26 is at most 3.769987491983651e-7. 9 tries \n",
" 39.033830 seconds (102.92 M allocations: 47.618 GiB, 16.47% gc time)\n",
"distance squared from orbit of 19 to 27 is at most 1.9008265974862912e-6. 50 tries \n",
"\n",
" 31.236702 seconds (81.55 M allocations: 37.722 GiB, 16.45% gc time)\n",
"distance squared from orbit of 20 to 1 is at most 1.0000000000204396. 50 tries \n",
" 13.221306 seconds (34.79 M allocations: 16.097 GiB, 16.45% gc time)\n",
"distance squared from orbit of 20 to 2 is at most 0.8964466094068897. 50 tries \n",
" 14.746724 seconds (38.83 M allocations: 17.969 GiB, 16.51% gc time)\n",
"distance squared from orbit of 20 to 3 is at most 0.965665475619419. 50 tries \n",
" 25.737607 seconds (66.93 M allocations: 30.970 GiB, 16.25% gc time)\n",
"distance squared from orbit of 20 to 4 is at most 0.6666667014110746. 50 tries \n",
" 4.987103 seconds (13.27 M allocations: 6.142 GiB, 16.56% gc time)\n",
"distance squared from orbit of 20 to 5 is at most 0.8672932564790735. 50 tries \n",
" 3.206842 seconds (8.42 M allocations: 3.895 GiB, 16.53% gc time)\n",
"distance squared from orbit of 20 to 6 is at most 0.5000000000001285. 50 tries \n",
" 2.736949 seconds (7.13 M allocations: 3.300 GiB, 16.28% gc time)\n",
"distance squared from orbit of 20 to 7 is at most 0.7049876882149518. 50 tries \n",
" 28.122533 seconds (74.49 M allocations: 34.462 GiB, 16.50% gc time)\n",
"distance squared from orbit of 20 to 8 is at most 0.5000003508622973. 50 tries \n",
" 19.722937 seconds (52.41 M allocations: 24.250 GiB, 16.35% gc time)\n",
"distance squared from orbit of 20 to 9 is at most 0.7500000491079883. 50 tries \n",
" 32.525151 seconds (87.07 M allocations: 40.293 GiB, 16.47% gc time)\n",
"distance squared from orbit of 20 to 10 is at most 0.7275530567425718. 50 tries \n",
" 14.187790 seconds (38.31 M allocations: 17.727 GiB, 16.45% gc time)\n",
"distance squared from orbit of 20 to 11 is at most 0.45873412263480484. 50 tries \n",
" 19.897939 seconds (52.08 M allocations: 24.095 GiB, 16.28% gc time)\n",
"distance squared from orbit of 20 to 12 is at most 0.5000000399376234. 50 tries \n",
" 24.774037 seconds (58.74 M allocations: 27.183 GiB, 16.04% gc time)\n",
"distance squared from orbit of 20 to 13 is at most 0.6145184180835792. 50 tries \n",
" 6.538799 seconds (16.48 M allocations: 7.627 GiB, 15.80% gc time)\n",
"distance squared from orbit of 20 to 14 is at most 0.3588307783100731. 50 tries \n",
" 10.443254 seconds (27.15 M allocations: 12.561 GiB, 16.44% gc time)\n",
"distance squared from orbit of 20 to 15 is at most 0.5833333837915388. 50 tries \n",
" 17.384663 seconds (46.34 M allocations: 21.446 GiB, 16.25% gc time)\n",
"distance squared from orbit of 20 to 16 is at most 0.8748399336009769. 50 tries \n",
" 2.445600 seconds (6.42 M allocations: 2.971 GiB, 15.98% gc time)\n",
"distance squared from orbit of 20 to 17 is at most 0.414997287835605. 50 tries \n",
" 19.471145 seconds (51.32 M allocations: 23.745 GiB, 16.27% gc time)\n",
"distance squared from orbit of 20 to 18 is at most 0.500000031662764. 50 tries \n",
" 7.218148 seconds (19.11 M allocations: 8.844 GiB, 16.15% gc time)\n",
"distance squared from orbit of 20 to 19 is at most 0.14285714285737597. 50 tries \n",
" 0.828182 seconds (2.20 M allocations: 1.019 GiB, 16.69% gc time)\n",
"distance squared from orbit of 20 to 20 is at most 6.305206063495516e-13. 2 tries \n",
" 26.419358 seconds (70.30 M allocations: 32.556 GiB, 16.16% gc time)\n",
"distance squared from orbit of 20 to 21 is at most 0.4000000177020901. 50 tries \n",
" 2.819953 seconds (7.14 M allocations: 3.303 GiB, 16.23% gc time)\n",
"distance squared from orbit of 20 to 22 is at most 0.6752404735809641. 50 tries \n",
" 33.380454 seconds (89.29 M allocations: 41.314 GiB, 16.23% gc time)\n",
"distance squared from orbit of 20 to 23 is at most 0.16666669472601414. 50 tries \n",
" 34.146538 seconds (86.00 M allocations: 39.782 GiB, 15.73% gc time)\n",
"distance squared from orbit of 20 to 24 is at most 0.4000000057795004. 50 tries \n",
" 0.789331 seconds (2.11 M allocations: 999.272 MiB, 16.74% gc time)\n",
"distance squared from orbit of 20 to 25 is at most 3.613705994822693e-7. 1 tries \n",
" 38.221090 seconds (100.32 M allocations: 46.415 GiB, 16.09% gc time)\n",
"distance squared from orbit of 20 to 26 is at most 0.1428571508483234. 50 tries \n",
" 1.577704 seconds (4.16 M allocations: 1.925 GiB, 15.95% gc time)\n",
"distance squared from orbit of 20 to 27 is at most 2.8689681112330136e-8. 2 tries \n",
"\n",
" 4.371360 seconds (11.18 M allocations: 5.173 GiB, 15.94% gc time)\n",
"distance squared from orbit of 21 to 1 is at most 1.0000000000001856. 50 tries \n",
" 9.793999 seconds (26.18 M allocations: 12.115 GiB, 16.31% gc time)\n",
"distance squared from orbit of 21 to 2 is at most 1.0000000000000737. 50 tries \n",
" 18.799058 seconds (50.10 M allocations: 23.179 GiB, 16.16% gc time)\n",
"distance squared from orbit of 21 to 3 is at most 1.0000000000017923. 50 tries \n",
" 5.059010 seconds (13.11 M allocations: 6.069 GiB, 15.63% gc time)\n",
"distance squared from orbit of 21 to 4 is at most 0.6666666666671912. 50 tries \n",
" 18.214116 seconds (48.69 M allocations: 22.531 GiB, 16.16% gc time)\n",
"distance squared from orbit of 21 to 5 is at most 0.9791666669974983. 50 tries \n",
" 35.619012 seconds (97.83 M allocations: 45.262 GiB, 16.18% gc time)\n",
"distance squared from orbit of 21 to 6 is at most 0.6666673548460059. 50 tries \n",
" 26.415086 seconds (73.13 M allocations: 33.834 GiB, 16.03% gc time)\n",
"distance squared from orbit of 21 to 7 is at most 1.0000000000057092. 50 tries \n",
" 20.201040 seconds (55.44 M allocations: 25.651 GiB, 16.13% gc time)\n",
"distance squared from orbit of 21 to 8 is at most 0.5000000003053272. 50 tries \n",
" 4.014360 seconds (10.18 M allocations: 4.712 GiB, 16.15% gc time)\n",
"distance squared from orbit of 21 to 9 is at most 0.500000000000047. 50 tries \n",
" 28.575423 seconds (77.52 M allocations: 35.859 GiB, 15.97% gc time)\n",
"distance squared from orbit of 21 to 10 is at most 0.666666667410122. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 35.483922 seconds (96.34 M allocations: 44.570 GiB, 16.03% gc time)\n",
"distance squared from orbit of 21 to 11 is at most 0.5000253421980629. 50 tries \n",
" 20.354790 seconds (52.95 M allocations: 24.496 GiB, 15.76% gc time)\n",
"distance squared from orbit of 21 to 12 is at most 0.5000000000000336. 50 tries \n",
" 28.118715 seconds (71.20 M allocations: 32.940 GiB, 15.47% gc time)\n",
"distance squared from orbit of 21 to 13 is at most 0.5000002295950677. 50 tries \n",
" 29.324298 seconds (80.14 M allocations: 37.076 GiB, 15.76% gc time)\n",
"distance squared from orbit of 21 to 14 is at most 0.5000060962986014. 50 tries \n",
" 19.922702 seconds (51.82 M allocations: 23.977 GiB, 15.71% gc time)\n",
"distance squared from orbit of 21 to 15 is at most 0.3333333333768747. 50 tries \n",
" 11.228371 seconds (28.40 M allocations: 13.139 GiB, 15.48% gc time)\n",
"distance squared from orbit of 21 to 16 is at most 0.8750000000050625. 50 tries \n",
" 39.396030 seconds (105.61 M allocations: 48.860 GiB, 15.75% gc time)\n",
"distance squared from orbit of 21 to 17 is at most 0.6458343620704624. 50 tries \n",
" 29.429200 seconds (77.29 M allocations: 35.761 GiB, 15.63% gc time)\n",
"distance squared from orbit of 21 to 18 is at most 0.5000005847152946. 50 tries \n",
" 33.915070 seconds (91.20 M allocations: 42.194 GiB, 15.81% gc time)\n",
"distance squared from orbit of 21 to 19 is at most 0.33333662169357375. 50 tries \n",
" 39.057361 seconds (105.06 M allocations: 48.604 GiB, 15.73% gc time)\n",
"distance squared from orbit of 21 to 20 is at most 0.3333583232646791. 50 tries \n",
" 0.180176 seconds (503.22 k allocations: 238.468 MiB, 13.28% gc time)\n",
"distance squared from orbit of 21 to 21 is at most 2.245574917548533e-13. 3 tries \n",
" 12.998111 seconds (35.39 M allocations: 16.377 GiB, 15.99% gc time)\n",
"distance squared from orbit of 21 to 22 is at most 0.8750194604774518. 50 tries \n",
" 0.774618 seconds (2.10 M allocations: 995.220 MiB, 16.77% gc time)\n",
"distance squared from orbit of 21 to 23 is at most 5.902143258015339e-7. 1 tries \n",
" 0.271734 seconds (782.17 k allocations: 370.636 MiB, 14.77% gc time)\n",
"distance squared from orbit of 21 to 24 is at most 1.8704434396067724e-9. 1 tries \n",
" 0.753414 seconds (2.06 M allocations: 976.259 MiB, 15.57% gc time)\n",
"distance squared from orbit of 21 to 25 is at most 4.359523553186725e-7. 1 tries \n",
" 38.745694 seconds (105.11 M allocations: 48.626 GiB, 15.72% gc time)\n",
"distance squared from orbit of 21 to 26 is at most 2.205820617031517e-6. 50 tries \n",
" 39.003172 seconds (104.78 M allocations: 48.474 GiB, 15.68% gc time)\n",
"distance squared from orbit of 21 to 27 is at most 2.1942272863579636e-5. 50 tries \n",
"\n",
" 1.828650 seconds (4.98 M allocations: 2.307 GiB, 15.89% gc time)\n",
"distance squared from orbit of 22 to 1 is at most 1.0000000000000093. 50 tries \n",
" 2.733904 seconds (7.31 M allocations: 3.385 GiB, 15.80% gc time)\n",
"distance squared from orbit of 22 to 2 is at most 0.919058356455122. 50 tries \n",
" 5.932930 seconds (15.75 M allocations: 7.288 GiB, 15.65% gc time)\n",
"distance squared from orbit of 22 to 3 is at most 0.9490377182733583. 50 tries \n",
" 19.885322 seconds (53.57 M allocations: 24.785 GiB, 15.65% gc time)\n",
"distance squared from orbit of 22 to 4 is at most 0.9166714017293709. 50 tries \n",
" 1.794718 seconds (4.79 M allocations: 2.217 GiB, 16.20% gc time)\n",
"distance squared from orbit of 22 to 5 is at most 0.5000000000000431. 50 tries \n",
" 2.090209 seconds (5.66 M allocations: 2.618 GiB, 16.30% gc time)\n",
"distance squared from orbit of 22 to 6 is at most 0.6666666666667657. 50 tries \n",
" 2.650737 seconds (7.12 M allocations: 3.293 GiB, 15.42% gc time)\n",
"distance squared from orbit of 22 to 7 is at most 0.5000000000001192. 50 tries \n",
" 34.999852 seconds (92.88 M allocations: 42.973 GiB, 15.63% gc time)\n",
"distance squared from orbit of 22 to 8 is at most 0.5000002076439427. 50 tries \n",
" 20.166432 seconds (53.81 M allocations: 24.895 GiB, 15.67% gc time)\n",
"distance squared from orbit of 22 to 9 is at most 0.9500028595056531. 50 tries \n",
" 17.302508 seconds (46.64 M allocations: 21.580 GiB, 15.67% gc time)\n",
"distance squared from orbit of 22 to 10 is at most 0.9494792373860058. 50 tries \n",
" 1.714930 seconds (4.56 M allocations: 2.109 GiB, 16.31% gc time)\n",
"distance squared from orbit of 22 to 11 is at most 0.3750000000000357. 50 tries \n",
" 33.018553 seconds (85.69 M allocations: 39.640 GiB, 17.53% gc time)\n",
"distance squared from orbit of 22 to 12 is at most 0.600001057508305. 50 tries \n",
" 15.496026 seconds (44.09 M allocations: 20.401 GiB, 19.06% gc time)\n",
"distance squared from orbit of 22 to 13 is at most 0.666666666666847. 50 tries \n",
" 11.320230 seconds (33.58 M allocations: 15.539 GiB, 19.23% gc time)\n",
"distance squared from orbit of 22 to 14 is at most 0.578191861043256. 50 tries \n",
" 20.362230 seconds (58.52 M allocations: 27.074 GiB, 18.87% gc time)\n",
"distance squared from orbit of 22 to 15 is at most 0.5833342617999137. 50 tries \n",
" 7.177173 seconds (18.82 M allocations: 8.709 GiB, 18.41% gc time)\n",
"distance squared from orbit of 22 to 16 is at most 0.4000000000000854. 50 tries \n",
" 9.832837 seconds (25.73 M allocations: 11.907 GiB, 18.28% gc time)\n",
"distance squared from orbit of 22 to 17 is at most 0.3333333333334784. 50 tries \n",
" 27.681034 seconds (72.41 M allocations: 33.501 GiB, 18.39% gc time)\n",
"distance squared from orbit of 22 to 18 is at most 0.7142857142858835. 50 tries \n",
" 40.834576 seconds (105.38 M allocations: 48.759 GiB, 18.29% gc time)\n",
"distance squared from orbit of 22 to 19 is at most 0.4359422137872347. 50 tries \n",
" 41.680332 seconds (105.38 M allocations: 48.760 GiB, 18.06% gc time)\n",
"distance squared from orbit of 22 to 20 is at most 0.33333336731801805. 50 tries \n",
" 23.702780 seconds (60.49 M allocations: 27.985 GiB, 18.03% gc time)\n",
"distance squared from orbit of 22 to 21 is at most 0.9000020348278731. 50 tries \n",
" 0.036805 seconds (65.18 k allocations: 30.890 MiB)\n",
"distance squared from orbit of 22 to 22 is at most 8.864435035333729e-14. 1 tries \n",
" 28.363413 seconds (72.76 M allocations: 33.663 GiB, 18.05% gc time)\n",
"distance squared from orbit of 22 to 23 is at most 0.6666666666667036. 50 tries \n",
" 37.340166 seconds (99.77 M allocations: 46.155 GiB, 18.16% gc time)\n",
"distance squared from orbit of 22 to 24 is at most 0.40000063830427923. 50 tries \n",
" 10.009999 seconds (25.14 M allocations: 11.634 GiB, 17.62% gc time)\n",
"distance squared from orbit of 22 to 25 is at most 0.5000031929900258. 50 tries \n",
" 40.844067 seconds (104.67 M allocations: 48.426 GiB, 17.86% gc time)\n",
"distance squared from orbit of 22 to 26 is at most 0.14285815506627544. 50 tries \n",
" 37.286616 seconds (95.67 M allocations: 44.266 GiB, 17.85% gc time)\n",
"distance squared from orbit of 22 to 27 is at most 1.5291924275042733e-6. 50 tries \n",
"\n",
" 2.931823 seconds (7.48 M allocations: 3.460 GiB, 18.04% gc time)\n",
"distance squared from orbit of 23 to 1 is at most 1.000000000000044. 50 tries \n",
" 14.386438 seconds (37.50 M allocations: 17.351 GiB, 17.89% gc time)\n",
"distance squared from orbit of 23 to 2 is at most 1.000000000000624. 50 tries \n",
" 18.378467 seconds (47.46 M allocations: 21.960 GiB, 17.77% gc time)\n",
"distance squared from orbit of 23 to 3 is at most 1.0000000000018856. 50 tries \n",
" 5.687543 seconds (14.58 M allocations: 6.745 GiB, 17.74% gc time)\n",
"distance squared from orbit of 23 to 4 is at most 0.6666666666667294. 50 tries \n",
" 15.934205 seconds (40.90 M allocations: 18.924 GiB, 17.97% gc time)\n",
"distance squared from orbit of 23 to 5 is at most 0.9791666666676538. 50 tries \n",
" 39.382597 seconds (101.13 M allocations: 46.786 GiB, 17.74% gc time)\n",
"distance squared from orbit of 23 to 6 is at most 0.6666671565805014. 50 tries \n",
" 27.942241 seconds (72.81 M allocations: 33.691 GiB, 17.79% gc time)\n",
"distance squared from orbit of 23 to 7 is at most 1.0000000000040905. 50 tries \n",
" 17.191782 seconds (43.19 M allocations: 19.984 GiB, 17.72% gc time)\n",
"distance squared from orbit of 23 to 8 is at most 0.5000000004443093. 50 tries \n",
" 3.229953 seconds (8.12 M allocations: 3.758 GiB, 17.05% gc time)\n",
"distance squared from orbit of 23 to 9 is at most 0.5000000000000189. 50 tries \n",
" 8.307782 seconds (21.47 M allocations: 9.934 GiB, 17.56% gc time)\n",
"distance squared from orbit of 23 to 10 is at most 0.6666666666672068. 50 tries \n",
" 37.425321 seconds (96.79 M allocations: 44.781 GiB, 17.57% gc time)\n",
"distance squared from orbit of 23 to 11 is at most 0.500169728151893. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 22.792576 seconds (64.37 M allocations: 29.782 GiB, 17.99% gc time)\n",
"distance squared from orbit of 23 to 12 is at most 0.5000000000001849. 50 tries \n",
" 3.952129 seconds (9.93 M allocations: 4.595 GiB, 17.50% gc time)\n",
"distance squared from orbit of 23 to 13 is at most 0.5000000000000431. 50 tries \n",
" 25.611524 seconds (65.51 M allocations: 30.310 GiB, 17.44% gc time)\n",
"distance squared from orbit of 23 to 14 is at most 0.5000085439339349. 50 tries \n",
" 13.704818 seconds (35.51 M allocations: 16.430 GiB, 17.54% gc time)\n",
"distance squared from orbit of 23 to 15 is at most 0.333333333536027. 50 tries \n",
" 10.759208 seconds (28.00 M allocations: 12.958 GiB, 17.62% gc time)\n",
"distance squared from orbit of 23 to 16 is at most 0.8751566662498197. 50 tries \n",
" 40.305622 seconds (105.19 M allocations: 48.663 GiB, 17.47% gc time)\n",
"distance squared from orbit of 23 to 17 is at most 0.6458341624494645. 50 tries \n",
" 35.223801 seconds (91.44 M allocations: 42.303 GiB, 17.35% gc time)\n",
"distance squared from orbit of 23 to 18 is at most 0.5000004687800261. 50 tries \n",
" 38.133388 seconds (101.85 M allocations: 47.118 GiB, 17.54% gc time)\n",
"distance squared from orbit of 23 to 19 is at most 0.3333494352208143. 50 tries \n",
" 39.530925 seconds (102.88 M allocations: 47.595 GiB, 17.26% gc time)\n",
"distance squared from orbit of 23 to 20 is at most 0.33345967112582126. 50 tries \n",
" 5.533724 seconds (13.01 M allocations: 6.022 GiB, 17.39% gc time)\n",
"distance squared from orbit of 23 to 21 is at most 0.20000000000001478. 50 tries \n",
" 22.232694 seconds (36.09 M allocations: 16.700 GiB, 15.05% gc time)\n",
"distance squared from orbit of 23 to 22 is at most 0.8751298589758962. 50 tries \n",
" 2.281762 seconds (4.19 M allocations: 1.937 GiB, 14.95% gc time)\n",
"distance squared from orbit of 23 to 23 is at most 5.307779821162698e-12. 3 tries \n",
" 21.283174 seconds (51.65 M allocations: 23.896 GiB, 16.88% gc time)\n",
"distance squared from orbit of 23 to 24 is at most 0.20000000010320002. 50 tries \n",
" 0.837662 seconds (2.09 M allocations: 991.832 MiB, 16.70% gc time)\n",
"distance squared from orbit of 23 to 25 is at most 9.665251415174035e-7. 1 tries \n",
" 38.530615 seconds (101.72 M allocations: 47.060 GiB, 17.28% gc time)\n",
"distance squared from orbit of 23 to 26 is at most 1.612706232522123e-5. 50 tries \n",
" 37.483523 seconds (104.88 M allocations: 48.521 GiB, 17.44% gc time)\n",
"distance squared from orbit of 23 to 27 is at most 0.00014634467672095257. 50 tries \n",
"\n",
" 5.547163 seconds (14.53 M allocations: 6.723 GiB, 16.97% gc time)\n",
"distance squared from orbit of 24 to 1 is at most 1.0000000000000862. 50 tries \n",
" 7.158766 seconds (18.52 M allocations: 8.572 GiB, 17.11% gc time)\n",
"distance squared from orbit of 24 to 2 is at most 1.0000000000000546. 50 tries \n",
" 8.811236 seconds (23.07 M allocations: 10.674 GiB, 17.14% gc time)\n",
"distance squared from orbit of 24 to 3 is at most 1.0000000000027462. 50 tries \n",
" 5.038026 seconds (12.54 M allocations: 5.801 GiB, 16.74% gc time)\n",
"distance squared from orbit of 24 to 4 is at most 0.9166666666671216. 50 tries \n",
" 7.024192 seconds (17.07 M allocations: 7.902 GiB, 16.37% gc time)\n",
"distance squared from orbit of 24 to 5 is at most 0.979166666668633. 50 tries \n",
" 17.145548 seconds (44.13 M allocations: 20.421 GiB, 16.94% gc time)\n",
"distance squared from orbit of 24 to 6 is at most 0.8333348193397502. 50 tries \n",
" 28.880396 seconds (74.51 M allocations: 34.475 GiB, 16.90% gc time)\n",
"distance squared from orbit of 24 to 7 is at most 1.0000000000973466. 50 tries \n",
" 9.329463 seconds (24.59 M allocations: 11.379 GiB, 17.07% gc time)\n",
"distance squared from orbit of 24 to 8 is at most 0.5000000000011836. 50 tries \n",
" 5.694292 seconds (14.39 M allocations: 6.660 GiB, 16.48% gc time)\n",
"distance squared from orbit of 24 to 9 is at most 0.8333333333336892. 50 tries \n",
" 6.705953 seconds (16.73 M allocations: 7.743 GiB, 16.87% gc time)\n",
"distance squared from orbit of 24 to 10 is at most 0.9389449363085561. 50 tries \n",
" 36.622556 seconds (95.18 M allocations: 44.036 GiB, 16.82% gc time)\n",
"distance squared from orbit of 24 to 11 is at most 0.5000004032008448. 50 tries \n",
" 5.459058 seconds (14.03 M allocations: 6.492 GiB, 16.96% gc time)\n",
"distance squared from orbit of 24 to 12 is at most 0.6000000000064735. 50 tries \n",
" 7.424995 seconds (19.10 M allocations: 8.835 GiB, 16.89% gc time)\n",
"distance squared from orbit of 24 to 13 is at most 0.8833708286981434. 50 tries \n",
" 28.858921 seconds (75.70 M allocations: 35.022 GiB, 16.96% gc time)\n",
"distance squared from orbit of 24 to 14 is at most 0.5000244085621793. 50 tries \n",
" 7.823583 seconds (20.52 M allocations: 9.493 GiB, 16.75% gc time)\n",
"distance squared from orbit of 24 to 15 is at most 0.33333333333341547. 50 tries \n",
" 4.901598 seconds (13.07 M allocations: 6.051 GiB, 17.09% gc time)\n",
"distance squared from orbit of 24 to 16 is at most 0.8750000000000571. 50 tries \n",
" 36.657941 seconds (101.81 M allocations: 47.106 GiB, 16.89% gc time)\n",
"distance squared from orbit of 24 to 17 is at most 0.6666671185349972. 50 tries \n",
" 9.958784 seconds (26.24 M allocations: 12.141 GiB, 16.78% gc time)\n",
"distance squared from orbit of 24 to 18 is at most 0.7142857142867813. 50 tries \n",
" 29.742889 seconds (78.76 M allocations: 36.440 GiB, 16.91% gc time)\n",
"distance squared from orbit of 24 to 19 is at most 0.33338112414868026. 50 tries \n",
" 40.071529 seconds (105.27 M allocations: 48.703 GiB, 16.73% gc time)\n",
"distance squared from orbit of 24 to 20 is at most 0.3333340747217656. 50 tries \n",
" 5.466260 seconds (14.05 M allocations: 6.501 GiB, 16.23% gc time)\n",
"distance squared from orbit of 24 to 21 is at most 0.5000000000000285. 50 tries \n",
" 19.987983 seconds (52.58 M allocations: 24.327 GiB, 16.60% gc time)\n",
"distance squared from orbit of 24 to 22 is at most 0.8750003744244457. 50 tries \n",
" 4.828125 seconds (12.67 M allocations: 5.865 GiB, 16.72% gc time)\n",
"distance squared from orbit of 24 to 23 is at most 0.554403500951791. 50 tries \n",
" 0.052611 seconds (130.30 k allocations: 61.745 MiB, 21.39% gc time)\n",
"distance squared from orbit of 24 to 24 is at most 2.1878594864832117e-12. 1 tries \n",
" 15.984709 seconds (41.66 M allocations: 19.274 GiB, 16.50% gc time)\n",
"distance squared from orbit of 24 to 25 is at most 0.5000004400994519. 50 tries \n",
" 39.068189 seconds (102.91 M allocations: 47.609 GiB, 16.69% gc time)\n",
"distance squared from orbit of 24 to 26 is at most 5.8737453487402385e-5. 50 tries \n",
" 3.952623 seconds (10.45 M allocations: 4.836 GiB, 16.59% gc time)\n",
"distance squared from orbit of 24 to 27 is at most 6.757875266745599e-7. 5 tries \n",
"\n",
" 2.156089 seconds (5.69 M allocations: 2.634 GiB, 17.03% gc time)\n",
"distance squared from orbit of 25 to 1 is at most 1.0000000000000493. 50 tries \n",
" 3.969608 seconds (10.36 M allocations: 4.793 GiB, 16.66% gc time)\n",
"distance squared from orbit of 25 to 2 is at most 1.0000000000000622. 50 tries \n",
" 7.994851 seconds (21.17 M allocations: 9.796 GiB, 16.65% gc time)\n",
"distance squared from orbit of 25 to 3 is at most 1.0000000000001164. 50 tries \n",
" 2.575275 seconds (6.72 M allocations: 3.112 GiB, 16.52% gc time)\n",
"distance squared from orbit of 25 to 4 is at most 0.666666666666702. 50 tries \n",
" 9.632520 seconds (25.57 M allocations: 11.829 GiB, 16.54% gc time)\n",
"distance squared from orbit of 25 to 5 is at most 0.9791667170388548. 50 tries \n",
" 1.716612 seconds (4.57 M allocations: 2.113 GiB, 16.40% gc time)\n",
"distance squared from orbit of 25 to 6 is at most 0.666666666666706. 50 tries \n",
" 11.380190 seconds (29.79 M allocations: 13.789 GiB, 16.39% gc time)\n",
"distance squared from orbit of 25 to 7 is at most 1.0000000000033413. 50 tries \n",
" 13.845005 seconds (35.60 M allocations: 16.470 GiB, 16.44% gc time)\n",
"distance squared from orbit of 25 to 8 is at most 0.5000000001644399. 50 tries \n",
" 3.676214 seconds (9.57 M allocations: 4.427 GiB, 16.77% gc time)\n",
"distance squared from orbit of 25 to 9 is at most 0.7500000000000603. 50 tries \n",
" 2.358584 seconds (6.12 M allocations: 2.830 GiB, 16.12% gc time)\n",
"distance squared from orbit of 25 to 10 is at most 0.727552997475871. 50 tries \n",
" 24.118704 seconds (63.01 M allocations: 29.152 GiB, 16.53% gc time)\n",
"distance squared from orbit of 25 to 11 is at most 0.5000000190581585. 50 tries \n",
" 10.516615 seconds (27.60 M allocations: 12.769 GiB, 16.50% gc time)\n",
"distance squared from orbit of 25 to 12 is at most 0.500000000000048. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 2.963104 seconds (8.08 M allocations: 3.738 GiB, 16.20% gc time)\n",
"distance squared from orbit of 25 to 13 is at most 0.614518333054956. 50 tries \n",
" 9.927552 seconds (26.63 M allocations: 12.326 GiB, 16.63% gc time)\n",
"distance squared from orbit of 25 to 14 is at most 0.5793156242931875. 50 tries \n",
" 9.462548 seconds (22.22 M allocations: 10.280 GiB, 15.80% gc time)\n",
"distance squared from orbit of 25 to 15 is at most 0.5833333335923028. 50 tries \n",
" 11.805651 seconds (30.29 M allocations: 14.018 GiB, 16.23% gc time)\n",
"distance squared from orbit of 25 to 16 is at most 0.8750000235067725. 50 tries \n",
" 1.910907 seconds (4.94 M allocations: 2.286 GiB, 16.04% gc time)\n",
"distance squared from orbit of 25 to 17 is at most 0.6458333333335508. 50 tries \n",
" 5.811252 seconds (15.10 M allocations: 6.985 GiB, 16.55% gc time)\n",
"distance squared from orbit of 25 to 18 is at most 0.5000000000000911. 50 tries \n",
" 25.461326 seconds (68.91 M allocations: 31.885 GiB, 16.61% gc time)\n",
"distance squared from orbit of 25 to 19 is at most 0.43586738999273505. 50 tries \n",
" 39.558058 seconds (105.27 M allocations: 48.700 GiB, 16.56% gc time)\n",
"distance squared from orbit of 25 to 20 is at most 0.333333345609604. 50 tries \n",
" 3.241049 seconds (8.83 M allocations: 4.086 GiB, 16.57% gc time)\n",
"distance squared from orbit of 25 to 21 is at most 0.40000000000002134. 50 tries \n",
" 10.352246 seconds (26.79 M allocations: 12.397 GiB, 16.69% gc time)\n",
"distance squared from orbit of 25 to 22 is at most 0.8750000298910977. 50 tries \n",
" 4.300136 seconds (11.28 M allocations: 5.221 GiB, 16.56% gc time)\n",
"distance squared from orbit of 25 to 23 is at most 0.16666666666667862. 50 tries \n",
" 15.733757 seconds (41.72 M allocations: 19.304 GiB, 16.42% gc time)\n",
"distance squared from orbit of 25 to 24 is at most 0.40000000013698894. 50 tries \n",
" 0.025135 seconds (71.65 k allocations: 33.945 MiB)\n",
"distance squared from orbit of 25 to 25 is at most 4.596212360502337e-14. 1 tries \n",
" 40.005278 seconds (105.52 M allocations: 48.816 GiB, 16.40% gc time)\n",
"distance squared from orbit of 25 to 26 is at most 0.14285717914878926. 50 tries \n",
" 0.805089 seconds (2.08 M allocations: 986.749 MiB, 16.47% gc time)\n",
"distance squared from orbit of 25 to 27 is at most 4.14283971197918e-8. 1 tries \n",
"\n",
" 17.525082 seconds (46.37 M allocations: 21.457 GiB, 16.47% gc time)\n",
"distance squared from orbit of 26 to 1 is at most 1.0000000000000187. 50 tries \n",
" 23.300551 seconds (61.87 M allocations: 28.624 GiB, 16.32% gc time)\n",
"distance squared from orbit of 26 to 2 is at most 1.0000000000007674. 50 tries \n",
" 15.662375 seconds (42.31 M allocations: 19.579 GiB, 16.55% gc time)\n",
"distance squared from orbit of 26 to 3 is at most 1.0000000000002927. 50 tries \n",
" 13.395650 seconds (35.63 M allocations: 16.484 GiB, 16.23% gc time)\n",
"distance squared from orbit of 26 to 4 is at most 0.9166666666670219. 50 tries \n",
" 10.435440 seconds (28.74 M allocations: 13.297 GiB, 16.48% gc time)\n",
"distance squared from orbit of 26 to 5 is at most 0.9791666666667054. 50 tries \n",
" 21.553842 seconds (56.50 M allocations: 26.139 GiB, 16.21% gc time)\n",
"distance squared from orbit of 26 to 6 is at most 0.8333342183695799. 50 tries \n",
" 21.504389 seconds (56.96 M allocations: 26.360 GiB, 16.44% gc time)\n",
"distance squared from orbit of 26 to 7 is at most 1.0000000000002882. 50 tries \n",
" 12.326508 seconds (32.50 M allocations: 15.037 GiB, 16.21% gc time)\n",
"distance squared from orbit of 26 to 8 is at most 0.5000000000003536. 50 tries \n",
" 10.941771 seconds (28.80 M allocations: 13.326 GiB, 16.24% gc time)\n",
"distance squared from orbit of 26 to 9 is at most 0.8333333333707799. 50 tries \n",
" 8.120454 seconds (21.31 M allocations: 9.861 GiB, 16.16% gc time)\n",
"distance squared from orbit of 26 to 10 is at most 0.943387697049285. 50 tries \n",
" 34.842206 seconds (93.26 M allocations: 43.147 GiB, 16.27% gc time)\n",
"distance squared from orbit of 26 to 11 is at most 0.5000006130047416. 50 tries \n",
" 18.015676 seconds (48.06 M allocations: 22.239 GiB, 16.12% gc time)\n",
"distance squared from orbit of 26 to 12 is at most 0.6000000000053151. 50 tries \n",
" 11.443748 seconds (29.98 M allocations: 13.872 GiB, 16.05% gc time)\n",
"distance squared from orbit of 26 to 13 is at most 0.8995526772384297. 50 tries \n",
" 4.967027 seconds (13.18 M allocations: 6.098 GiB, 15.95% gc time)\n",
"distance squared from orbit of 26 to 14 is at most 0.5000000000000738. 50 tries \n",
" 19.901822 seconds (52.90 M allocations: 24.476 GiB, 16.21% gc time)\n",
"distance squared from orbit of 26 to 15 is at most 0.33333333333655313. 50 tries \n",
" 22.297243 seconds (59.24 M allocations: 27.412 GiB, 16.18% gc time)\n",
"distance squared from orbit of 26 to 16 is at most 0.8750005265432401. 50 tries \n",
" 33.741776 seconds (91.98 M allocations: 42.555 GiB, 16.19% gc time)\n",
"distance squared from orbit of 26 to 17 is at most 0.6666676666680721. 50 tries \n",
" 19.656630 seconds (52.40 M allocations: 24.249 GiB, 16.27% gc time)\n",
"distance squared from orbit of 26 to 18 is at most 0.714285714286068. 50 tries \n",
" 7.080600 seconds (19.21 M allocations: 8.888 GiB, 16.04% gc time)\n",
"distance squared from orbit of 26 to 19 is at most 0.3333333333333942. 50 tries \n",
" 37.968747 seconds (98.76 M allocations: 45.690 GiB, 15.93% gc time)\n",
"distance squared from orbit of 26 to 20 is at most 0.33333426680742284. 50 tries \n",
" 19.413507 seconds (50.05 M allocations: 23.157 GiB, 15.89% gc time)\n",
"distance squared from orbit of 26 to 21 is at most 0.7000000000042998. 50 tries \n",
" 29.736489 seconds (77.54 M allocations: 35.878 GiB, 15.89% gc time)\n",
"distance squared from orbit of 26 to 22 is at most 0.8750006895570985. 50 tries \n",
" 20.124165 seconds (53.39 M allocations: 24.700 GiB, 16.21% gc time)\n",
"distance squared from orbit of 26 to 23 is at most 0.6483268859519268. 50 tries \n",
" 27.875161 seconds (74.47 M allocations: 34.455 GiB, 16.11% gc time)\n",
"distance squared from orbit of 26 to 24 is at most 0.2000000000043958. 50 tries \n",
" 35.114336 seconds (94.69 M allocations: 43.807 GiB, 16.01% gc time)\n",
"distance squared from orbit of 26 to 25 is at most 0.5000003358035481. 50 tries \n",
" 0.041056 seconds (88.82 k allocations: 42.082 MiB, 30.88% gc time)\n",
"distance squared from orbit of 26 to 26 is at most 3.016244677953642e-13. 1 tries \n",
" 0.784116 seconds (2.09 M allocations: 989.790 MiB, 14.80% gc time)\n",
"distance squared from orbit of 26 to 27 is at most 8.322754772760513e-7. 1 tries \n",
"\n",
" 2.654983 seconds (6.99 M allocations: 3.233 GiB, 15.61% gc time)\n",
"distance squared from orbit of 27 to 1 is at most 1.0000000000000164. 50 tries \n",
" 4.982201 seconds (13.30 M allocations: 6.153 GiB, 15.88% gc time)\n",
"distance squared from orbit of 27 to 2 is at most 1.0000000000001186. 50 tries \n",
" 8.290214 seconds (22.00 M allocations: 10.183 GiB, 16.17% gc time)\n",
"distance squared from orbit of 27 to 3 is at most 1.0000000000000289. 50 tries \n",
" 4.720312 seconds (12.24 M allocations: 5.667 GiB, 15.90% gc time)\n",
"distance squared from orbit of 27 to 4 is at most 0.9166666666667459. 50 tries \n",
" 3.842694 seconds (9.86 M allocations: 4.563 GiB, 16.00% gc time)\n",
"distance squared from orbit of 27 to 5 is at most 0.9791666666688913. 50 tries \n",
" 2.639544 seconds (6.76 M allocations: 3.127 GiB, 15.73% gc time)\n",
"distance squared from orbit of 27 to 6 is at most 0.8333333333333859. 50 tries \n",
" 10.094764 seconds (25.61 M allocations: 11.853 GiB, 15.43% gc time)\n",
"distance squared from orbit of 27 to 7 is at most 1.0000000000007239. 50 tries \n",
" 4.388359 seconds (9.75 M allocations: 4.512 GiB, 15.25% gc time)\n",
"distance squared from orbit of 27 to 8 is at most 0.5000000000000453. 50 tries \n",
" 7.810950 seconds (17.39 M allocations: 8.047 GiB, 15.13% gc time)\n",
"distance squared from orbit of 27 to 9 is at most 0.9500000000062987. 50 tries \n",
" 3.479458 seconds (8.17 M allocations: 3.783 GiB, 15.23% gc time)\n",
"distance squared from orbit of 27 to 10 is at most 0.9495241293736061. 50 tries \n",
" 3.723719 seconds (9.71 M allocations: 4.494 GiB, 16.26% gc time)\n",
"distance squared from orbit of 27 to 11 is at most 0.5000000000000749. 50 tries \n",
" 4.709180 seconds (12.50 M allocations: 5.787 GiB, 15.70% gc time)\n",
"distance squared from orbit of 27 to 12 is at most 0.6000000000005886. 50 tries \n",
" 3.908587 seconds (10.51 M allocations: 4.863 GiB, 15.49% gc time)\n",
"distance squared from orbit of 27 to 13 is at most 0.922917982937698. 50 tries \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 1.817855 seconds (4.94 M allocations: 2.286 GiB, 15.54% gc time)\n",
"distance squared from orbit of 27 to 14 is at most 0.5799193475827998. 50 tries \n",
" 7.072844 seconds (19.01 M allocations: 8.799 GiB, 15.73% gc time)\n",
"distance squared from orbit of 27 to 15 is at most 0.5833333333333404. 50 tries \n",
" 5.196654 seconds (14.00 M allocations: 6.481 GiB, 16.03% gc time)\n",
"distance squared from orbit of 27 to 16 is at most 0.8750000000000969. 50 tries \n",
" 3.362271 seconds (9.03 M allocations: 4.179 GiB, 15.69% gc time)\n",
"distance squared from orbit of 27 to 17 is at most 0.6666666666668272. 50 tries \n",
" 10.147303 seconds (27.30 M allocations: 12.636 GiB, 15.69% gc time)\n",
"distance squared from orbit of 27 to 18 is at most 0.7142857142909251. 50 tries \n",
" 2.036495 seconds (5.47 M allocations: 2.529 GiB, 16.09% gc time)\n",
"distance squared from orbit of 27 to 19 is at most 0.4359405000379309. 50 tries \n",
" 2.063794 seconds (5.59 M allocations: 2.588 GiB, 15.19% gc time)\n",
"distance squared from orbit of 27 to 20 is at most 0.3333333333334052. 50 tries \n",
" 7.967742 seconds (21.61 M allocations: 10.001 GiB, 15.60% gc time)\n",
"distance squared from orbit of 27 to 21 is at most 0.9000000000014206. 50 tries \n",
" 3.550408 seconds (9.62 M allocations: 4.451 GiB, 15.88% gc time)\n",
"distance squared from orbit of 27 to 22 is at most 0.8750000000000718. 50 tries \n",
" 3.096230 seconds (8.45 M allocations: 3.911 GiB, 15.57% gc time)\n",
"distance squared from orbit of 27 to 23 is at most 0.6666666666667234. 50 tries \n",
" 12.630228 seconds (34.20 M allocations: 15.826 GiB, 15.89% gc time)\n",
"distance squared from orbit of 27 to 24 is at most 0.4000000000000207. 50 tries \n",
" 2.284710 seconds (6.22 M allocations: 2.877 GiB, 15.42% gc time)\n",
"distance squared from orbit of 27 to 25 is at most 0.5000000000000377. 50 tries \n",
" 2.236744 seconds (6.11 M allocations: 2.825 GiB, 16.27% gc time)\n",
"distance squared from orbit of 27 to 26 is at most 0.1428571428571731. 50 tries \n",
" 0.019180 seconds (56.61 k allocations: 26.823 MiB)\n",
"distance squared from orbit of 27 to 27 is at most 6.352787916295063e-13. 1 tries \n",
"\n",
"first run done\n",
"\n",
"second run\n",
"distance squared from orbit of 1 to 8 will be revised since for 1 3 8: 7.805776850455649e-12+7.380034948204456e-11<5.410448469651386e-7\n",
"revised distance squared from orbit of 1 to 8 is at most 8.425392242492257e-9. \n",
"distance squared from orbit of 1 to 10 will be revised since for 1 4 10: 0.3333333333343722+5.234815624435434e-12<0.3942196641432804\n",
"revised distance squared from orbit of 1 to 10 is at most 0.3942196641432804. \n",
"distance squared from orbit of 1 to 11 will be revised since for 1 2 11: 4.7390670297129574e-7+1.850992574903488e-6<8.350928642683803e-5\n",
"revised distance squared from orbit of 1 to 11 is at most 2.950352826796469e-6. \n",
"distance squared from orbit of 1 to 11 will be revised since for 1 3 11: 7.805776850455649e-12+6.601126894990639e-7<2.950352826796469e-6\n",
"revised distance squared from orbit of 1 to 11 is at most 6.611280926608643e-7. \n",
"distance squared from orbit of 1 to 11 will be revised since for 1 6 11: 8.148479490541145e-8+2.686787244106156e-7<6.611280926608643e-7\n",
"revised distance squared from orbit of 1 to 11 is at most 6.611280926608643e-7. \n",
"distance squared from orbit of 1 to 12 will be revised since for 1 2 12: 4.7390670297129574e-7+1.663348421524005e-8<9.62225531811283e-7\n",
"revised distance squared from orbit of 1 to 12 is at most 9.396703098072487e-8. \n",
"distance squared from orbit of 1 to 13 will be revised since for 1 6 13: 8.148479490541145e-8+0.16666667635466953<0.16666711871675594\n",
"revised distance squared from orbit of 1 to 13 is at most 0.16666711871675594. \n",
"distance squared from orbit of 1 to 13 will be revised since for 1 12 13: 9.396703098072487e-8+0.16666685980954538<0.16666711871675594\n",
"revised distance squared from orbit of 1 to 13 is at most 0.16666711871675594. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 3 14: 7.805776850455649e-12+9.813609736224402e-5<0.0003726112051801606\n",
"revised distance squared from orbit of 1 to 14 is at most 8.163137727217267e-5. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 7 14: 3.737521804908807e-6+1.4710941048008673e-5<8.163137727217267e-5\n",
"revised distance squared from orbit of 1 to 14 is at most 5.430329683370956e-5. \n",
"distance squared from orbit of 1 to 14 will be revised since for 1 8 14: 8.425392242492257e-9+2.7021844120461495e-5<5.430329683370956e-5\n",
"revised distance squared from orbit of 1 to 14 is at most 5.430329683370956e-5. \n",
"distance squared from orbit of 1 to 15 will be revised since for 1 3 15: 7.805776850455649e-12+0.25000000004115075<0.2500000022194745\n",
"revised distance squared from orbit of 1 to 15 is at most 0.25000000008047096. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 3 17: 7.805776850455649e-12+0.0001376936905319114<0.00036744372859709646\n",
"revised distance squared from orbit of 1 to 17 is at most 0.00036744372859709646. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 6 17: 8.148479490541145e-8+7.605329686152696e-7<0.00036744372859709646\n",
"revised distance squared from orbit of 1 to 17 is at most 5.9080205466477006e-5. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 7 17: 3.737521804908807e-6+1.263027595839269e-6<5.9080205466477006e-5\n",
"revised distance squared from orbit of 1 to 17 is at most 6.854838725053073e-6. \n",
"distance squared from orbit of 1 to 17 will be revised since for 1 11 17: 6.611280926608643e-7+1.1476213308831052e-6<6.854838725053073e-6\n",
"revised distance squared from orbit of 1 to 17 is at most 6.854838725053073e-6. \n",
"distance squared from orbit of 1 to 18 will be revised since for 1 6 18: 8.148479490541145e-8+2.1870722712205967e-7<7.938912410528549e-7\n",
"revised distance squared from orbit of 1 to 18 is at most 7.938912410528549e-7. \n",
"distance squared from orbit of 1 to 18 will be revised since for 1 8 18: 8.425392242492257e-9+6.06350248588218e-7<7.938912410528549e-7\n",
"revised distance squared from orbit of 1 to 18 is at most 7.938912410528549e-7. \n",
"distance squared from orbit of 1 to 19 will be revised since for 1 7 19: 3.737521804908807e-6+4.6786606460233565e-6<8.640753862370657e-6\n",
"revised distance squared from orbit of 1 to 19 is at most 8.640753862370657e-6. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 3 20: 7.805776850455649e-12+7.592315713179691e-5<0.00031223105077953753\n",
"revised distance squared from orbit of 1 to 20 is at most 7.594380009572036e-5. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 6 20: 8.148479490541145e-8+4.78249754699229e-7<7.594380009572036e-5\n",
"revised distance squared from orbit of 1 to 20 is at most 2.429470540936448e-6. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 8 20: 8.425392242492257e-9+1.5817583094188067e-6<2.429470540936448e-6\n",
"revised distance squared from orbit of 1 to 20 is at most 2.429470540936448e-6. \n",
"distance squared from orbit of 1 to 20 will be revised since for 1 11 20: 6.611280926608643e-7+1.3610424828204714e-6<2.429470540936448e-6\n",
"revised distance squared from orbit of 1 to 20 is at most 2.429470540936448e-6. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 13 21: 0.16666711871675594+0.20000000147282754<0.4000000000000103\n",
"revised distance squared from orbit of 1 to 21 is at most 0.4000000000000103. \n",
"distance squared from orbit of 1 to 21 will be revised since for 1 23 21: 0.16666770927205513+0.20000000000001478<0.4000000000000103\n",
"revised distance squared from orbit of 1 to 21 is at most 0.4000000000000103. \n",
"distance squared from orbit of 1 to 23 will be revised since for 1 2 23: 4.7390670297129574e-7+0.166666671582948<0.16666770927205513\n",
"revised distance squared from orbit of 1 to 23 is at most 0.16666673560929537. \n",
"distance squared from orbit of 1 to 24 will be revised since for 1 2 24: 4.7390670297129574e-7+0.2023893220195253<0.21121996582310948\n",
"revised distance squared from orbit of 1 to 24 is at most 0.20212125217430663. \n",
"distance squared from orbit of 1 to 24 will be revised since for 1 7 24: 3.737521804908807e-6+0.20051249941186536<0.20212125217430663\n",
"revised distance squared from orbit of 1 to 24 is at most 0.20041302631016614. \n",
"distance squared from orbit of 1 to 24 will be revised since for 1 14 24: 5.430329683370956e-5+0.2001726770740916<0.20041302631016614\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 1 to 24 is at most 0.20041302631016614. \n",
"distance squared from orbit of 1 to 24 will be revised since for 1 19 24: 8.640753862370657e-6+0.20003145517115023<0.20041302631016614\n",
"revised distance squared from orbit of 1 to 24 is at most 0.20041302631016614. \n",
"distance squared from orbit of 1 to 25 will be revised since for 1 6 25: 8.148479490541145e-8+1.2486974959020576e-8<1.3959149443160941e-6\n",
"revised distance squared from orbit of 1 to 25 is at most 1.3959149443160941e-6. \n",
"distance squared from orbit of 1 to 25 will be revised since for 1 18 25: 7.938912410528549e-7+2.2542424581964638e-8<1.3959149443160941e-6\n",
"revised distance squared from orbit of 1 to 25 is at most 8.681864911463366e-7. \n",
"distance squared from orbit of 1 to 26 will be revised since for 1 2 26: 4.7390670297129574e-7+0.00023162929264318807<0.00044474303138166847\n",
"revised distance squared from orbit of 1 to 26 is at most 0.00018448701835671653. \n",
"distance squared from orbit of 1 to 26 will be revised since for 1 7 26: 3.737521804908807e-6+1.3595408774010883e-5<0.00018448701835671653\n",
"revised distance squared from orbit of 1 to 26 is at most 1.208901973347645e-5. \n",
"distance squared from orbit of 1 to 26 will be revised since for 1 19 26: 8.640753862370657e-6+3.769987491983651e-7<1.208901973347645e-5\n",
"revised distance squared from orbit of 1 to 26 is at most 1.208901973347645e-5. \n",
"distance squared from orbit of 1 to 27 will be revised since for 1 2 27: 4.7390670297129574e-7+7.503518275235685e-6<0.00021989289730720625\n",
"revised distance squared from orbit of 1 to 27 is at most 1.8436150258365474e-5. \n",
"distance squared from orbit of 1 to 27 will be revised since for 1 3 27: 7.805776850455649e-12+4.6711044303272285e-6<1.8436150258365474e-5\n",
"revised distance squared from orbit of 1 to 27 is at most 4.374215109378073e-6. \n",
"distance squared from orbit of 1 to 27 will be revised since for 1 6 27: 8.148479490541145e-8+6.783155364472417e-7<4.374215109378073e-6\n",
"revised distance squared from orbit of 1 to 27 is at most 4.374215109378073e-6. \n",
"distance squared from orbit of 1 to 27 will be revised since for 1 11 27: 6.611280926608643e-7+2.4085920933492915e-8<4.374215109378073e-6\n",
"revised distance squared from orbit of 1 to 27 is at most 4.374215109378073e-6. \n",
"distance squared from orbit of 1 to 27 will be revised since for 1 18 27: 7.938912410528549e-7+1.6852438882707318e-6<4.374215109378073e-6\n",
"revised distance squared from orbit of 1 to 27 is at most 4.374215109378073e-6. \n",
"distance squared from orbit of 1 to 27 will be revised since for 1 20 27: 2.429470540936448e-6+2.8689681112330136e-8<4.374215109378073e-6\n",
"revised distance squared from orbit of 1 to 27 is at most 4.374215109378073e-6. \n",
"distance squared from orbit of 1 to 27 will be revised since for 1 22 27: 8.55337840172618e-7+1.5291924275042733e-6<4.374215109378073e-6\n",
"revised distance squared from orbit of 1 to 27 is at most 4.374215109378073e-6. \n",
"distance squared from orbit of 1 to 27 will be revised since for 1 25 27: 8.681864911463366e-7+4.14283971197918e-8<4.374215109378073e-6\n",
"revised distance squared from orbit of 1 to 27 is at most 4.374215109378073e-6. \n",
"\n",
"distance squared from orbit of 2 to 1 will be revised since for 2 12 1: 1.663348421524005e-8+0.5000000000000222<0.5000000601835838\n",
"revised distance squared from orbit of 2 to 1 is at most 0.500000013645862. \n",
"distance squared from orbit of 2 to 8 will be revised since for 2 12 8: 1.663348421524005e-8+0.2500001573519962<0.250001567276096\n",
"revised distance squared from orbit of 2 to 8 is at most 0.250001567276096. \n",
"distance squared from orbit of 2 to 10 will be revised since for 2 4 10: 0.3333333346237438+5.234815624435434e-12<0.39421966954999277\n",
"revised distance squared from orbit of 2 to 10 is at most 0.39421966954999277. \n",
"distance squared from orbit of 2 to 14 will be revised since for 2 7 14: 1.3363366098697689e-5+1.4710941048008673e-5<0.0003906755587302728\n",
"revised distance squared from orbit of 2 to 14 is at most 0.0003906755587302728. \n",
"distance squared from orbit of 2 to 15 will be revised since for 2 9 15: 0.2500000016163185+1.5626980557001169e-7<0.25000226401921616\n",
"revised distance squared from orbit of 2 to 15 is at most 0.2500013992428328. \n",
"distance squared from orbit of 2 to 15 will be revised since for 2 12 15: 1.663348421524005e-8+0.2500002812521955<0.2500013992428328\n",
"revised distance squared from orbit of 2 to 15 is at most 0.2500013992428328. \n",
"distance squared from orbit of 2 to 17 will be revised since for 2 6 17: 0.0001425417457495989+7.605329686152696e-7<0.00042695654043090487\n",
"revised distance squared from orbit of 2 to 17 is at most 0.00042695654043090487. \n",
"distance squared from orbit of 2 to 17 will be revised since for 2 7 17: 1.3363366098697689e-5+1.263027595839269e-6<0.00042695654043090487\n",
"revised distance squared from orbit of 2 to 17 is at most 0.00042695654043090487. \n",
"distance squared from orbit of 2 to 17 will be revised since for 2 11 17: 1.850992574903488e-6+1.1476213308831052e-6<0.00042695654043090487\n",
"revised distance squared from orbit of 2 to 17 is at most 4.452957210829497e-6. \n",
"distance squared from orbit of 2 to 18 will be revised since for 2 11 18: 1.850992574903488e-6+3.1807084935053145e-7<2.417674794233547e-6\n",
"revised distance squared from orbit of 2 to 18 is at most 2.417674794233547e-6. \n",
"distance squared from orbit of 2 to 18 will be revised since for 2 12 18: 1.663348421524005e-8+9.84594644457221e-7<2.417674794233547e-6\n",
"revised distance squared from orbit of 2 to 18 is at most 7.061251228349591e-7. \n",
"distance squared from orbit of 2 to 19 will be revised since for 2 7 19: 1.3363366098697689e-5+4.6786606460233565e-6<4.9930462426849286e-5\n",
"revised distance squared from orbit of 2 to 19 is at most 1.393949732556095e-5. \n",
"distance squared from orbit of 2 to 20 will be revised since for 2 6 20: 0.0001425417457495989+4.78249754699229e-7<0.00031191552493080755\n",
"revised distance squared from orbit of 2 to 20 is at most 0.00031191552493080755. \n",
"distance squared from orbit of 2 to 20 will be revised since for 2 11 20: 1.850992574903488e-6+1.3610424828204714e-6<0.00031191552493080755\n",
"revised distance squared from orbit of 2 to 20 is at most 0.0001309494222162627. \n",
"distance squared from orbit of 2 to 20 will be revised since for 2 17 20: 4.452957210829497e-6+6.397895702854957e-6<0.0001309494222162627\n",
"revised distance squared from orbit of 2 to 20 is at most 0.0001309494222162627. \n",
"distance squared from orbit of 2 to 20 will be revised since for 2 18 20: 7.061251228349591e-7+1.1327787210726066e-5<0.0001309494222162627\n",
"revised distance squared from orbit of 2 to 20 is at most 0.0001309494222162627. \n",
"distance squared from orbit of 2 to 20 will be revised since for 2 19 20: 1.393949732556095e-5+7.246916594675523e-7<0.0001309494222162627\n",
"revised distance squared from orbit of 2 to 20 is at most 0.0001309494222162627. \n",
"distance squared from orbit of 2 to 21 will be revised since for 2 13 21: 0.16666666666896607+0.20000000147282754<0.40000000223562954\n",
"revised distance squared from orbit of 2 to 21 is at most 0.4000000021099896. \n",
"distance squared from orbit of 2 to 21 will be revised since for 2 23 21: 0.166666671582948+0.20000000000001478<0.4000000021099896\n",
"revised distance squared from orbit of 2 to 21 is at most 0.4000000014666653. \n",
"distance squared from orbit of 2 to 23 will be revised since for 2 13 23: 0.16666666666896607+3.613115657003716e-9<0.166666671582948\n",
"revised distance squared from orbit of 2 to 23 is at most 0.16666667096005303. \n",
"distance squared from orbit of 2 to 24 will be revised since for 2 7 24: 1.3363366098697689e-5+0.20051249941186536<0.2023893220195253\n",
"revised distance squared from orbit of 2 to 24 is at most 0.20080579311542868. \n",
"distance squared from orbit of 2 to 24 will be revised since for 2 14 24: 0.0003906755587302728+0.2001726770740916<0.20080579311542868\n",
"revised distance squared from orbit of 2 to 24 is at most 0.20029817027027005. \n",
"distance squared from orbit of 2 to 24 will be revised since for 2 19 24: 1.393949732556095e-5+0.20003145517115023<0.20029817027027005\n",
"revised distance squared from orbit of 2 to 24 is at most 0.20029817027027005. \n",
"distance squared from orbit of 2 to 24 will be revised since for 2 26 24: 0.00023162929264318807+0.2000000000043958<0.20029817027027005\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 2 to 24 is at most 0.20029817027027005. \n",
"distance squared from orbit of 2 to 25 will be revised since for 2 11 25: 1.850992574903488e-6+7.599419494807388e-7<4.6590551267635266e-6\n",
"revised distance squared from orbit of 2 to 25 is at most 1.604607221764158e-6. \n",
"distance squared from orbit of 2 to 25 will be revised since for 2 18 25: 7.061251228349591e-7+2.2542424581964638e-8<1.604607221764158e-6\n",
"revised distance squared from orbit of 2 to 25 is at most 1.604607221764158e-6. \n",
"distance squared from orbit of 2 to 26 will be revised since for 2 7 26: 1.3363366098697689e-5+1.3595408774010883e-5<0.00023162929264318807\n",
"revised distance squared from orbit of 2 to 26 is at most 0.00023162929264318807. \n",
"distance squared from orbit of 2 to 26 will be revised since for 2 12 26: 1.663348421524005e-8+0.00017821694368675138<0.00023162929264318807\n",
"revised distance squared from orbit of 2 to 26 is at most 9.58163236080022e-5. \n",
"distance squared from orbit of 2 to 26 will be revised since for 2 19 26: 1.393949732556095e-5+3.769987491983651e-7<9.58163236080022e-5\n",
"revised distance squared from orbit of 2 to 26 is at most 9.58163236080022e-5. \n",
"distance squared from orbit of 2 to 27 will be revised since for 2 11 27: 1.850992574903488e-6+2.4085920933492915e-8<7.503518275235685e-6\n",
"revised distance squared from orbit of 2 to 27 is at most 4.6171432435163126e-8. \n",
"\n",
"distance squared from orbit of 3 to 10 will be revised since for 3 4 10: 0.3333333333498546+5.234815624435434e-12<0.39421966419748256\n",
"revised distance squared from orbit of 3 to 10 is at most 0.39421966419748256. \n",
"distance squared from orbit of 3 to 12 will be revised since for 3 8 12: 7.380034948204456e-11+0.20000000000018708<0.20000000057118705\n",
"revised distance squared from orbit of 3 to 12 is at most 0.20000000004748356. \n",
"distance squared from orbit of 3 to 13 will be revised since for 3 8 13: 7.380034948204456e-11+0.16666720871693394<0.16671933149237647\n",
"revised distance squared from orbit of 3 to 13 is at most 0.1666672092816753. \n",
"distance squared from orbit of 3 to 14 will be revised since for 3 7 14: 3.527170575322729e-5+1.4710941048008673e-5<9.813609736224402e-5\n",
"revised distance squared from orbit of 3 to 14 is at most 9.813609736224402e-5. \n",
"distance squared from orbit of 3 to 14 will be revised since for 3 8 14: 7.380034948204456e-11+2.7021844120461495e-5<9.813609736224402e-5\n",
"revised distance squared from orbit of 3 to 14 is at most 2.4616826769190398e-5. \n",
"distance squared from orbit of 3 to 17 will be revised since for 3 7 17: 3.527170575322729e-5+1.263027595839269e-6<0.0001376936905319114\n",
"revised distance squared from orbit of 3 to 17 is at most 0.0001376936905319114. \n",
"distance squared from orbit of 3 to 17 will be revised since for 3 11 17: 6.601126894990639e-7+1.1476213308831052e-6<0.0001376936905319114\n",
"revised distance squared from orbit of 3 to 17 is at most 2.238828496653235e-6. \n",
"distance squared from orbit of 3 to 18 will be revised since for 3 8 18: 7.380034948204456e-11+6.06350248588218e-7<5.866148221156106e-5\n",
"revised distance squared from orbit of 3 to 18 is at most 6.045534248864916e-7. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 7 19: 3.527170575322729e-5+4.6786606460233565e-6<9.955414290933667e-5\n",
"revised distance squared from orbit of 3 to 19 is at most 9.955414290933667e-5. \n",
"distance squared from orbit of 3 to 19 will be revised since for 3 14 19: 2.4616826769190398e-5+7.23677262424707e-7<9.955414290933667e-5\n",
"revised distance squared from orbit of 3 to 19 is at most 1.4660810773147276e-5. \n",
"distance squared from orbit of 3 to 20 will be revised since for 3 8 20: 7.380034948204456e-11+1.5817583094188067e-6<7.592315713179691e-5\n",
"revised distance squared from orbit of 3 to 20 is at most 1.5810956780928575e-6. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 13 21: 0.1666672092816753+0.20000000147282754<0.4000000000000358\n",
"revised distance squared from orbit of 3 to 21 is at most 0.4000000000000358. \n",
"distance squared from orbit of 3 to 21 will be revised since for 3 23 21: 0.16667864580991185+0.20000000000001478<0.4000000000000358\n",
"revised distance squared from orbit of 3 to 21 is at most 0.4000000000000358. \n",
"distance squared from orbit of 3 to 23 will be revised since for 3 8 23: 7.380034948204456e-11+0.1666680786297943<0.16667864580991185\n",
"revised distance squared from orbit of 3 to 23 is at most 0.16666769005907942. \n",
"distance squared from orbit of 3 to 23 will be revised since for 3 13 23: 0.1666672092816753+3.613115657003716e-9<0.16666769005907942\n",
"revised distance squared from orbit of 3 to 23 is at most 0.16666769005907942. \n",
"distance squared from orbit of 3 to 23 will be revised since for 3 18 23: 6.045534248864916e-7+0.16666666960961546<0.16666769005907942\n",
"revised distance squared from orbit of 3 to 23 is at most 0.16666769005907942. \n",
"distance squared from orbit of 3 to 24 will be revised since for 3 7 24: 3.527170575322729e-5+0.20051249941186536<0.20510246659205997\n",
"revised distance squared from orbit of 3 to 24 is at most 0.20510246659205997. \n",
"distance squared from orbit of 3 to 24 will be revised since for 3 14 24: 2.4616826769190398e-5+0.2001726770740916<0.20510246659205997\n",
"revised distance squared from orbit of 3 to 24 is at most 0.20092240254358745. \n",
"distance squared from orbit of 3 to 24 will be revised since for 3 19 24: 1.4660810773147276e-5+0.20003145517115023<0.20092240254358745\n",
"revised distance squared from orbit of 3 to 24 is at most 0.20092240254358745. \n",
"distance squared from orbit of 3 to 24 will be revised since for 3 26 24: 0.00019614727095628774+0.2000000000043958<0.20092240254358745\n",
"revised distance squared from orbit of 3 to 24 is at most 0.20089458152857734. \n",
"distance squared from orbit of 3 to 25 will be revised since for 3 8 25: 7.380034948204456e-11+2.313516512584589e-6<1.027198853320242e-5\n",
"revised distance squared from orbit of 3 to 25 is at most 2.1748892904508227e-6. \n",
"distance squared from orbit of 3 to 25 will be revised since for 3 11 25: 6.601126894990639e-7+7.599419494807388e-7<2.1748892904508227e-6\n",
"revised distance squared from orbit of 3 to 25 is at most 1.4239090463950962e-6. \n",
"distance squared from orbit of 3 to 25 will be revised since for 3 18 25: 6.045534248864916e-7+2.2542424581964638e-8<1.4239090463950962e-6\n",
"revised distance squared from orbit of 3 to 25 is at most 1.4239090463950962e-6. \n",
"distance squared from orbit of 3 to 26 will be revised since for 3 7 26: 3.527170575322729e-5+1.3595408774010883e-5<0.00019614727095628774\n",
"revised distance squared from orbit of 3 to 26 is at most 0.00019614727095628774. \n",
"distance squared from orbit of 3 to 26 will be revised since for 3 14 26: 2.4616826769190398e-5+6.606043966159685e-7<0.00019614727095628774\n",
"revised distance squared from orbit of 3 to 26 is at most 0.00019614727095628774. \n",
"distance squared from orbit of 3 to 26 will be revised since for 3 19 26: 1.4660810773147276e-5+3.769987491983651e-7<0.00019614727095628774\n",
"revised distance squared from orbit of 3 to 26 is at most 0.00019614727095628774. \n",
"distance squared from orbit of 3 to 27 will be revised since for 3 11 27: 6.601126894990639e-7+2.4085920933492915e-8<4.6711044303272285e-6\n",
"revised distance squared from orbit of 3 to 27 is at most 8.598922428719407e-8. \n",
"\n",
"distance squared from orbit of 4 to 2 will be revised since for 4 10 2: 5.234815624435434e-12+0.5000000015327628<0.5000000353950327\n",
"revised distance squared from orbit of 4 to 2 is at most 0.5000000014725496. \n",
"distance squared from orbit of 4 to 3 will be revised since for 4 1 3: 0.5000000000002175+7.805776850455649e-12<0.5000000005038238\n",
"revised distance squared from orbit of 4 to 3 is at most 0.5000000005038238. \n",
"distance squared from orbit of 4 to 5 will be revised since for 4 10 5: 5.234815624435434e-12+0.6666666666756451<0.6666686162417194\n",
"revised distance squared from orbit of 4 to 5 is at most 0.6666666667043218. \n",
"distance squared from orbit of 4 to 6 will be revised since for 4 18 6: 6.295813137326553e-7+0.3333333333333851<0.33333410505284267\n",
"revised distance squared from orbit of 4 to 6 is at most 0.3333333378743082. \n",
"distance squared from orbit of 4 to 7 will be revised since for 4 1 7: 0.5000000000002175+3.737521804908807e-6<0.5572454878309517\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 4 to 7 is at most 0.5572454878309517. \n",
"distance squared from orbit of 4 to 7 will be revised since for 4 2 7: 0.5000000014725496+1.3363366098697689e-5<0.5572454878309517\n",
"revised distance squared from orbit of 4 to 7 is at most 0.5572454878309517. \n",
"distance squared from orbit of 4 to 7 will be revised since for 4 3 7: 0.5000000005038238+3.527170575322729e-5<0.5572454878309517\n",
"revised distance squared from orbit of 4 to 7 is at most 0.5572454878309517. \n",
"distance squared from orbit of 4 to 11 will be revised since for 4 6 11: 0.3333333378743082+2.686787244106156e-7<0.3333339511341054\n",
"revised distance squared from orbit of 4 to 11 is at most 0.3333339511341054. \n",
"distance squared from orbit of 4 to 12 will be revised since for 4 8 12: 2.399943510470258e-7+0.20000000000018708<0.20000034723523388\n",
"revised distance squared from orbit of 4 to 12 is at most 0.20000001888187613. \n",
"distance squared from orbit of 4 to 13 will be revised since for 4 10 13: 5.234815624435434e-12+1.4204618059276604e-10<3.489813157140084e-7\n",
"revised distance squared from orbit of 4 to 13 is at most 1.2549473829021392e-10. \n",
"distance squared from orbit of 4 to 16 will be revised since for 4 10 16: 5.234815624435434e-12+0.7000000000322955<0.7000016827447004\n",
"revised distance squared from orbit of 4 to 16 is at most 0.7000000000459008. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 13 17: 1.2549473829021392e-10+0.3260778430985924<0.3260784564094249\n",
"revised distance squared from orbit of 4 to 17 is at most 0.3260784564094249. \n",
"distance squared from orbit of 4 to 17 will be revised since for 4 18 17: 6.295813137326553e-7+0.32607687371707106<0.3260784564094249\n",
"revised distance squared from orbit of 4 to 17 is at most 0.3260768772187913. \n",
"distance squared from orbit of 4 to 19 will be revised since for 4 8 19: 2.399943510470258e-7+0.0001400925454269904<0.0002657372119160947\n",
"revised distance squared from orbit of 4 to 19 is at most 0.0001082125591093311. \n",
"distance squared from orbit of 4 to 19 will be revised since for 4 14 19: 5.228921576876884e-6+7.23677262424707e-7<0.0001082125591093311\n",
"revised distance squared from orbit of 4 to 19 is at most 0.0001082125591093311. \n",
"distance squared from orbit of 4 to 20 will be revised since for 4 8 20: 2.399943510470258e-7+1.5817583094188067e-6<3.730956424811539e-5\n",
"revised distance squared from orbit of 4 to 20 is at most 3.7516346748002733e-6. \n",
"distance squared from orbit of 4 to 21 will be revised since for 4 10 21: 5.234815624435434e-12+0.20000000003043522<0.4000000000003281\n",
"revised distance squared from orbit of 4 to 21 is at most 0.20000000006842075. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 1 22: 0.5000000000002175+8.55337840172618e-7<0.5000018624922389\n",
"revised distance squared from orbit of 4 to 22 is at most 0.5000018624922389. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 2 22: 0.5000000014725496+1.6213807088124096e-6<0.5000018624922389\n",
"revised distance squared from orbit of 4 to 22 is at most 0.5000018624922389. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 6 22: 0.3333333378743082+5.8062241766333415e-5<0.5000018624922389\n",
"revised distance squared from orbit of 4 to 22 is at most 0.5000018624922389. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 8 22: 2.399943510470258e-7+0.5000008984852868<0.5000018624922389\n",
"revised distance squared from orbit of 4 to 22 is at most 0.500001129404724. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 11 22: 0.3333339511341054+1.235564730351733e-5<0.500001129404724\n",
"revised distance squared from orbit of 4 to 22 is at most 0.500001129404724. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 13 22: 1.2549473829021392e-10+0.5000009608537564<0.500001129404724\n",
"revised distance squared from orbit of 4 to 22 is at most 0.500001129404724. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 17 22: 0.3260768772187913+9.750836732961828e-7<0.500001129404724\n",
"revised distance squared from orbit of 4 to 22 is at most 0.500001129404724. \n",
"distance squared from orbit of 4 to 22 will be revised since for 4 18 22: 6.295813137326553e-7+0.500000000000104<0.500001129404724\n",
"revised distance squared from orbit of 4 to 22 is at most 0.5000000674433864. \n",
"distance squared from orbit of 4 to 23 will be revised since for 4 10 23: 5.234815624435434e-12+1.943331398265633e-10<6.758762993170398e-7\n",
"revised distance squared from orbit of 4 to 23 is at most 3.9186891123329705e-8. \n",
"distance squared from orbit of 4 to 23 will be revised since for 4 13 23: 1.2549473829021392e-10+3.613115657003716e-9<3.9186891123329705e-8\n",
"revised distance squared from orbit of 4 to 23 is at most 3.9186891123329705e-8. \n",
"distance squared from orbit of 4 to 24 will be revised since for 4 10 24: 5.234815624435434e-12+0.20000008817164525<0.20105533739113451\n",
"revised distance squared from orbit of 4 to 24 is at most 0.2000000380459536. \n",
"distance squared from orbit of 4 to 24 will be revised since for 4 21 24: 0.20000000006842075+1.8704434396067724e-9<0.2000000380459536\n",
"revised distance squared from orbit of 4 to 24 is at most 0.20000002437226833. \n",
"distance squared from orbit of 4 to 25 will be revised since for 4 13 25: 1.2549473829021392e-10+4.825120953945364e-7<1.8771333721754764e-6\n",
"revised distance squared from orbit of 4 to 25 is at most 1.8771333721754764e-6. \n",
"distance squared from orbit of 4 to 25 will be revised since for 4 18 25: 6.295813137326553e-7+2.2542424581964638e-8<1.8771333721754764e-6\n",
"revised distance squared from orbit of 4 to 25 is at most 1.8771333721754764e-6. \n",
"distance squared from orbit of 4 to 25 will be revised since for 4 23 25: 3.9186891123329705e-8+9.665251415174035e-7<1.8771333721754764e-6\n",
"revised distance squared from orbit of 4 to 25 is at most 1.8771333721754764e-6. \n",
"distance squared from orbit of 4 to 26 will be revised since for 4 8 26: 2.399943510470258e-7+0.0002165076757744574<0.00030059311779385555\n",
"revised distance squared from orbit of 4 to 26 is at most 0.00017704146984867395. \n",
"distance squared from orbit of 4 to 26 will be revised since for 4 10 26: 5.234815624435434e-12+2.593119713740453e-5<0.00017704146984867395\n",
"revised distance squared from orbit of 4 to 26 is at most 2.3536344560586534e-5. \n",
"distance squared from orbit of 4 to 26 will be revised since for 4 14 26: 5.228921576876884e-6+6.606043966159685e-7<2.3536344560586534e-5\n",
"revised distance squared from orbit of 4 to 26 is at most 2.3536344560586534e-5. \n",
"distance squared from orbit of 4 to 26 will be revised since for 4 23 26: 3.9186891123329705e-8+1.612706232522123e-5<2.3536344560586534e-5\n",
"revised distance squared from orbit of 4 to 26 is at most 2.3536344560586534e-5. \n",
"distance squared from orbit of 4 to 27 will be revised since for 4 8 27: 2.399943510470258e-7+5.114882964073646e-6<0.00012553756363439317\n",
"revised distance squared from orbit of 4 to 27 is at most 1.6067224450061832e-5. \n",
"distance squared from orbit of 4 to 27 will be revised since for 4 14 27: 5.228921576876884e-6+9.196021435595674e-6<1.6067224450061832e-5\n",
"revised distance squared from orbit of 4 to 27 is at most 1.2490883388787412e-5. \n",
"distance squared from orbit of 4 to 27 will be revised since for 4 18 27: 6.295813137326553e-7+1.6852438882707318e-6<1.2490883388787412e-5\n",
"revised distance squared from orbit of 4 to 27 is at most 1.2490883388787412e-5. \n",
"distance squared from orbit of 4 to 27 will be revised since for 4 20 27: 3.7516346748002733e-6+2.8689681112330136e-8<1.2490883388787412e-5\n",
"revised distance squared from orbit of 4 to 27 is at most 1.2490883388787412e-5. \n",
"distance squared from orbit of 4 to 27 will be revised since for 4 25 27: 1.8771333721754764e-6+4.14283971197918e-8<1.2490883388787412e-5\n",
"revised distance squared from orbit of 4 to 27 is at most 1.2490883388787412e-5. \n",
"\n",
"distance squared from orbit of 5 to 7 will be revised since for 5 2 7: 0.4000000000002914+1.3363366098697689e-5<0.4021790995729492\n",
"revised distance squared from orbit of 5 to 7 is at most 0.4021790995729492. \n",
"distance squared from orbit of 5 to 8 will be revised since for 5 18 8: 1.8503968767362432e-6+0.5000009538810276<0.5000165996930699\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 5 to 8 is at most 0.5000165996930699. \n",
"distance squared from orbit of 5 to 8 will be revised since for 5 20 8: 1.168420505571088e-6+0.5000003508622973<0.5000165996930699\n",
"revised distance squared from orbit of 5 to 8 is at most 0.5000003665132761. \n",
"distance squared from orbit of 5 to 10 will be revised since for 5 18 10: 1.8503968767362432e-6+0.46078472443212115<0.460808308928975\n",
"revised distance squared from orbit of 5 to 10 is at most 0.46078601053001045. \n",
"distance squared from orbit of 5 to 13 will be revised since for 5 18 13: 1.8503968767362432e-6+0.16666666666682453<0.16677546720789996\n",
"revised distance squared from orbit of 5 to 13 is at most 0.16666726670568827. \n",
"distance squared from orbit of 5 to 15 will be revised since for 5 19 15: 0.14285772146888634+0.3334064953056072<0.4768107655602449\n",
"revised distance squared from orbit of 5 to 15 is at most 0.4768107655602449. \n",
"distance squared from orbit of 5 to 15 will be revised since for 5 26 15: 0.14285937586572744+0.33333333333655313<0.4768107655602449\n",
"revised distance squared from orbit of 5 to 15 is at most 0.4768107655602449. \n",
"distance squared from orbit of 5 to 17 will be revised since for 5 11 17: 0.0001315547549988315+1.1476213308831052e-6<0.00020741243174856168\n",
"revised distance squared from orbit of 5 to 17 is at most 0.00020741243174856168. \n",
"distance squared from orbit of 5 to 21 will be revised since for 5 11 21: 0.0001315547549988315+0.40000030187178515<0.5600000000001714\n",
"revised distance squared from orbit of 5 to 21 is at most 0.4290229358783498. \n",
"distance squared from orbit of 5 to 21 will be revised since for 5 13 21: 0.16666726670568827+0.20000000147282754<0.4290229358783498\n",
"revised distance squared from orbit of 5 to 21 is at most 0.4000009674265151. \n",
"distance squared from orbit of 5 to 21 will be revised since for 5 23 21: 0.16779626601156186+0.20000000000001478<0.4000009674265151\n",
"revised distance squared from orbit of 5 to 21 is at most 0.4000009674265151. \n",
"distance squared from orbit of 5 to 23 will be revised since for 5 11 23: 0.0001315547549988315+0.1666670423896691<0.16779626601156186\n",
"revised distance squared from orbit of 5 to 23 is at most 0.16779626601156186. \n",
"distance squared from orbit of 5 to 23 will be revised since for 5 13 23: 0.16666726670568827+3.613115657003716e-9<0.16779626601156186\n",
"revised distance squared from orbit of 5 to 23 is at most 0.16666745478470435. \n",
"distance squared from orbit of 5 to 24 will be revised since for 5 13 24: 0.16666726670568827+0.20000008120173104<0.40000445853354255\n",
"revised distance squared from orbit of 5 to 24 is at most 0.40000445853354255. \n",
"distance squared from orbit of 5 to 24 will be revised since for 5 18 24: 1.8503968767362432e-6+0.4000012916451674<0.40000445853354255\n",
"revised distance squared from orbit of 5 to 24 is at most 0.40000445853354255. \n",
"distance squared from orbit of 5 to 24 will be revised since for 5 19 24: 0.14285772146888634+0.20003145517115023<0.40000445853354255\n",
"revised distance squared from orbit of 5 to 24 is at most 0.40000445853354255. \n",
"distance squared from orbit of 5 to 24 will be revised since for 5 20 24: 1.168420505571088e-6+0.4000000057795004<0.40000445853354255\n",
"revised distance squared from orbit of 5 to 24 is at most 0.40000001809067837. \n",
"distance squared from orbit of 5 to 24 will be revised since for 5 23 24: 0.16666745478470435+0.20000000010320002<0.40000001809067837\n",
"revised distance squared from orbit of 5 to 24 is at most 0.40000001809067837. \n",
"distance squared from orbit of 5 to 24 will be revised since for 5 26 24: 0.14285937586572744+0.2000000000043958<0.40000001809067837\n",
"revised distance squared from orbit of 5 to 24 is at most 0.40000001809067837. \n",
"distance squared from orbit of 5 to 25 will be revised since for 5 18 25: 1.8503968767362432e-6+2.2542424581964638e-8<9.969997063816935e-5\n",
"revised distance squared from orbit of 5 to 25 is at most 1.1717577263504741e-5. \n",
"distance squared from orbit of 5 to 25 will be revised since for 5 20 25: 1.168420505571088e-6+3.613705994822693e-7<1.1717577263504741e-5\n",
"revised distance squared from orbit of 5 to 25 is at most 1.1717577263504741e-5. \n",
"distance squared from orbit of 5 to 26 will be revised since for 5 19 26: 0.14285772146888634+3.769987491983651e-7<0.14285937586572744\n",
"revised distance squared from orbit of 5 to 26 is at most 0.14285937586572744. \n",
"distance squared from orbit of 5 to 26 will be revised since for 5 20 26: 1.168420505571088e-6+0.1428571508483234<0.14285937586572744\n",
"revised distance squared from orbit of 5 to 26 is at most 0.1428571643108602. \n",
"distance squared from orbit of 5 to 27 will be revised since for 5 20 27: 1.168420505571088e-6+2.8689681112330136e-8<1.8305959496926984e-6\n",
"revised distance squared from orbit of 5 to 27 is at most 5.9787753633449e-8. \n",
"\n",
"distance squared from orbit of 6 to 1 will be revised since for 6 12 1: 0.40000001310406164+0.5000000000000222<0.9656655010670664\n",
"revised distance squared from orbit of 6 to 1 is at most 0.9656655010670664. \n",
"distance squared from orbit of 6 to 1 will be revised since for 6 13 1: 0.16666667635466953+0.6666666666668133<0.9656655010670664\n",
"revised distance squared from orbit of 6 to 1 is at most 0.9656655010670664. \n",
"distance squared from orbit of 6 to 5 will be revised since for 6 11 5: 2.686787244106156e-7+0.5000000067626225<0.500035137038767\n",
"revised distance squared from orbit of 6 to 5 is at most 0.500035137038767. \n",
"distance squared from orbit of 6 to 5 will be revised since for 6 17 5: 7.605329686152696e-7+0.500000000567791<0.500035137038767\n",
"revised distance squared from orbit of 6 to 5 is at most 0.500035137038767. \n",
"distance squared from orbit of 6 to 7 will be revised since for 6 2 7: 0.5000000073290595+1.3363366098697689e-5<0.5000450155087698\n",
"revised distance squared from orbit of 6 to 7 is at most 0.5000450155087698. \n",
"distance squared from orbit of 6 to 7 will be revised since for 6 11 7: 2.686787244106156e-7+0.5000168471779197<0.5000450155087698\n",
"revised distance squared from orbit of 6 to 7 is at most 0.5000450155087698. \n",
"distance squared from orbit of 6 to 7 will be revised since for 6 17 7: 7.605329686152696e-7+0.5000000640379387<0.5000450155087698\n",
"revised distance squared from orbit of 6 to 7 is at most 0.5000450155087698. \n",
"distance squared from orbit of 6 to 8 will be revised since for 6 11 8: 2.686787244106156e-7+0.5000002170686592<0.500002441762611\n",
"revised distance squared from orbit of 6 to 8 is at most 0.5000002629894226. \n",
"distance squared from orbit of 6 to 8 will be revised since for 6 25 8: 1.2486974959020576e-8+0.5000000001644399<0.5000002629894226\n",
"revised distance squared from orbit of 6 to 8 is at most 0.5000002629894226. \n",
"distance squared from orbit of 6 to 9 will be revised since for 6 12 9: 0.40000001310406164+0.2500000000000293<0.7268408756027565\n",
"revised distance squared from orbit of 6 to 9 is at most 0.7268408756027565. \n",
"distance squared from orbit of 6 to 9 will be revised since for 6 13 9: 0.16666667635466953+0.5000000000001109<0.7268408756027565\n",
"revised distance squared from orbit of 6 to 9 is at most 0.7268408756027565. \n",
"distance squared from orbit of 6 to 9 will be revised since for 6 23 9: 0.16666667024741744+0.5000000000000189<0.7268408756027565\n",
"revised distance squared from orbit of 6 to 9 is at most 0.7268408756027565. \n",
"distance squared from orbit of 6 to 15 will be revised since for 6 19 15: 0.14285733001712395+0.3334064953056072<0.5000000048715286\n",
"revised distance squared from orbit of 6 to 15 is at most 0.5000000048715286. \n",
"distance squared from orbit of 6 to 15 will be revised since for 6 23 15: 0.16666667024741744+0.333333333536027<0.5000000048715286\n",
"revised distance squared from orbit of 6 to 15 is at most 0.5000000048715286. \n",
"distance squared from orbit of 6 to 15 will be revised since for 6 26 15: 0.1428575949754177+0.33333333333655313<0.5000000048715286\n",
"revised distance squared from orbit of 6 to 15 is at most 0.5000000048715286. \n",
"distance squared from orbit of 6 to 16 will be revised since for 6 11 16: 2.686787244106156e-7+0.4000000832701194<0.4001737557589586\n",
"revised distance squared from orbit of 6 to 16 is at most 0.4001640645247151. \n",
"distance squared from orbit of 6 to 16 will be revised since for 6 17 16: 7.605329686152696e-7+0.4000000064121565<0.4001640645247151\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 6 to 16 is at most 0.400014388943892. \n",
"distance squared from orbit of 6 to 21 will be revised since for 6 13 21: 0.16666667635466953+0.20000000147282754<0.4000000024690921\n",
"revised distance squared from orbit of 6 to 21 is at most 0.4000000024690921. \n",
"distance squared from orbit of 6 to 21 will be revised since for 6 23 21: 0.16666667024741744+0.20000000000001478<0.4000000024690921\n",
"revised distance squared from orbit of 6 to 21 is at most 0.4000000016244594. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 11 22: 2.686787244106156e-7+1.235564730351733e-5<5.8062241766333415e-5\n",
"revised distance squared from orbit of 6 to 22 is at most 5.8062241766333415e-5. \n",
"distance squared from orbit of 6 to 22 will be revised since for 6 17 22: 7.605329686152696e-7+9.750836732961828e-7<5.8062241766333415e-5\n",
"revised distance squared from orbit of 6 to 22 is at most 5.8062241766333415e-5. \n",
"distance squared from orbit of 6 to 24 will be revised since for 6 11 24: 2.686787244106156e-7+0.400000024519607<0.4000023160470167\n",
"revised distance squared from orbit of 6 to 24 is at most 0.4000000871024199. \n",
"distance squared from orbit of 6 to 24 will be revised since for 6 13 24: 0.16666667635466953+0.20000008120173104<0.4000000871024199\n",
"revised distance squared from orbit of 6 to 24 is at most 0.4000000871024199. \n",
"distance squared from orbit of 6 to 24 will be revised since for 6 19 24: 0.14285733001712395+0.20003145517115023<0.4000000871024199\n",
"revised distance squared from orbit of 6 to 24 is at most 0.4000000871024199. \n",
"distance squared from orbit of 6 to 24 will be revised since for 6 21 24: 0.4000000016244594+1.8704434396067724e-9<0.4000000871024199\n",
"revised distance squared from orbit of 6 to 24 is at most 0.4000000871024199. \n",
"distance squared from orbit of 6 to 24 will be revised since for 6 23 24: 0.16666667024741744+0.20000000010320002<0.4000000871024199\n",
"revised distance squared from orbit of 6 to 24 is at most 0.4000000871024199. \n",
"distance squared from orbit of 6 to 24 will be revised since for 6 25 24: 1.2486974959020576e-8+0.40000000013698894<0.4000000871024199\n",
"revised distance squared from orbit of 6 to 24 is at most 0.4000000871024199. \n",
"distance squared from orbit of 6 to 24 will be revised since for 6 26 24: 0.1428575949754177+0.2000000000043958<0.4000000871024199\n",
"revised distance squared from orbit of 6 to 24 is at most 0.4000000871024199. \n",
"distance squared from orbit of 6 to 26 will be revised since for 6 11 26: 2.686787244106156e-7+0.1428571562857499<0.1428575949754177\n",
"revised distance squared from orbit of 6 to 26 is at most 0.1428571696931863. \n",
"distance squared from orbit of 6 to 27 will be revised since for 6 11 27: 2.686787244106156e-7+2.4085920933492915e-8<6.783155364472417e-7\n",
"revised distance squared from orbit of 6 to 27 is at most 3.0285994281009614e-8. \n",
"\n",
"distance squared from orbit of 7 to 1 will be revised since for 7 8 1: 0.4573530652113512+0.5000000000000856<0.965750809195094\n",
"revised distance squared from orbit of 7 to 1 is at most 0.965750809195094. \n",
"distance squared from orbit of 7 to 1 will be revised since for 7 12 1: 0.4000273511887505+0.5000000000000222<0.965750809195094\n",
"revised distance squared from orbit of 7 to 1 is at most 0.965750809195094. \n",
"distance squared from orbit of 7 to 1 will be revised since for 7 19 1: 4.6786606460233565e-6+0.9656654787732917<0.965750809195094\n",
"revised distance squared from orbit of 7 to 1 is at most 0.965750809195094. \n",
"distance squared from orbit of 7 to 2 will be revised since for 7 11 2: 0.0003164591535334058+0.5000000675766444<0.6581447469112336\n",
"revised distance squared from orbit of 7 to 2 is at most 0.5104765336224075. \n",
"distance squared from orbit of 7 to 2 will be revised since for 7 14 2: 1.4710941048008673e-5+0.5000000308592726<0.5104765336224075\n",
"revised distance squared from orbit of 7 to 2 is at most 0.5104765336224075. \n",
"distance squared from orbit of 7 to 4 will be revised since for 7 11 4: 0.0003164591535334058+0.6666671730709346<0.6672132063510803\n",
"revised distance squared from orbit of 7 to 4 is at most 0.6667172947764898. \n",
"distance squared from orbit of 7 to 4 will be revised since for 7 14 4: 1.4710941048008673e-5+0.6666676241545804<0.6667172947764898\n",
"revised distance squared from orbit of 7 to 4 is at most 0.6667172947764898. \n",
"distance squared from orbit of 7 to 4 will be revised since for 7 17 4: 1.263027595839269e-6+0.6666678300960925<0.6667172947764898\n",
"revised distance squared from orbit of 7 to 4 is at most 0.6666683152727878. \n",
"distance squared from orbit of 7 to 9 will be revised since for 7 8 9: 0.4573530652113512+0.25000000000004585<0.750002001507617\n",
"revised distance squared from orbit of 7 to 9 is at most 0.750002001507617. \n",
"distance squared from orbit of 7 to 9 will be revised since for 7 11 9: 0.0003164591535334058+0.7268409429801785<0.750002001507617\n",
"revised distance squared from orbit of 7 to 9 is at most 0.731705726838949. \n",
"distance squared from orbit of 7 to 9 will be revised since for 7 12 9: 0.4000273511887505+0.2500000000000293<0.731705726838949\n",
"revised distance squared from orbit of 7 to 9 is at most 0.731705726838949. \n",
"distance squared from orbit of 7 to 9 will be revised since for 7 14 9: 1.4710941048008673e-5+0.7268408375253317<0.731705726838949\n",
"revised distance squared from orbit of 7 to 9 is at most 0.731705726838949. \n",
"distance squared from orbit of 7 to 9 will be revised since for 7 23 9: 0.16704960052435328+0.5000000000000189<0.731705726838949\n",
"revised distance squared from orbit of 7 to 9 is at most 0.731705726838949. \n",
"distance squared from orbit of 7 to 10 will be revised since for 7 11 10: 0.0003164591535334058+0.460784766899273<0.47197405589179087\n",
"revised distance squared from orbit of 7 to 10 is at most 0.47197405589179087. \n",
"distance squared from orbit of 7 to 10 will be revised since for 7 14 10: 1.4710941048008673e-5+0.4607847497730677<0.47197405589179087\n",
"revised distance squared from orbit of 7 to 10 is at most 0.47197405589179087. \n",
"distance squared from orbit of 7 to 12 will be revised since for 7 19 12: 4.6786606460233565e-6+0.40000000327445356<0.4000273511887505\n",
"revised distance squared from orbit of 7 to 12 is at most 0.4000273511887505. \n",
"distance squared from orbit of 7 to 13 will be revised since for 7 11 13: 0.0003164591535334058+0.16666679187421402<0.3333333385874029\n",
"revised distance squared from orbit of 7 to 13 is at most 0.1950300971310746. \n",
"distance squared from orbit of 7 to 13 will be revised since for 7 14 13: 1.4710941048008673e-5+0.16666670501096717<0.1950300971310746\n",
"revised distance squared from orbit of 7 to 13 is at most 0.1950300971310746. \n",
"distance squared from orbit of 7 to 15 will be revised since for 7 19 15: 4.6786606460233565e-6+0.3334064953056072<0.3341689293955073\n",
"revised distance squared from orbit of 7 to 15 is at most 0.33343568032807536. \n",
"distance squared from orbit of 7 to 15 will be revised since for 7 26 15: 1.3595408774010883e-5+0.33333333333655313<0.33343568032807536\n",
"revised distance squared from orbit of 7 to 15 is at most 0.33343568032807536. \n",
"distance squared from orbit of 7 to 18 will be revised since for 7 11 18: 0.0003164591535334058+3.1807084935053145e-7<0.14287523465596075\n",
"revised distance squared from orbit of 7 to 18 is at most 0.010592570464317544. \n",
"distance squared from orbit of 7 to 18 will be revised since for 7 14 18: 1.4710941048008673e-5+8.589828039503053e-7<0.010592570464317544\n",
"revised distance squared from orbit of 7 to 18 is at most 0.010592570464317544. \n",
"distance squared from orbit of 7 to 20 will be revised since for 7 11 20: 0.0003164591535334058+1.3610424828204714e-6<0.00036452536926646613\n",
"revised distance squared from orbit of 7 to 20 is at most 0.00036452536926646613. \n",
"distance squared from orbit of 7 to 20 will be revised since for 7 14 20: 1.4710941048008673e-5+2.7703186720002404e-5<0.00036452536926646613\n",
"revised distance squared from orbit of 7 to 20 is at most 4.4924332853407474e-5. \n",
"distance squared from orbit of 7 to 20 will be revised since for 7 17 20: 1.263027595839269e-6+6.397895702854957e-6<4.4924332853407474e-5\n",
"revised distance squared from orbit of 7 to 20 is at most 4.4924332853407474e-5. \n",
"distance squared from orbit of 7 to 20 will be revised since for 7 19 20: 4.6786606460233565e-6+7.246916594675523e-7<4.4924332853407474e-5\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 7 to 20 is at most 1.306905443653108e-5. \n",
"distance squared from orbit of 7 to 21 will be revised since for 7 13 21: 0.1950300971310746+0.20000000147282754<0.40024849027647497\n",
"revised distance squared from orbit of 7 to 21 is at most 0.40024849027647497. \n",
"distance squared from orbit of 7 to 21 will be revised since for 7 14 21: 1.4710941048008673e-5+0.4000000940194731<0.40024849027647497\n",
"revised distance squared from orbit of 7 to 21 is at most 0.40024849027647497. \n",
"distance squared from orbit of 7 to 21 will be revised since for 7 17 21: 1.263027595839269e-6+0.40000050723038166<0.40024849027647497\n",
"revised distance squared from orbit of 7 to 21 is at most 0.4000013943126086. \n",
"distance squared from orbit of 7 to 21 will be revised since for 7 23 21: 0.16704960052435328+0.20000000000001478<0.4000013943126086\n",
"revised distance squared from orbit of 7 to 21 is at most 0.4000013943126086. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 11 23: 0.0003164591535334058+0.1666670423896691<0.16704960052435328\n",
"revised distance squared from orbit of 7 to 23 is at most 0.16681441672234057. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 14 23: 1.4710941048008673e-5+0.16666691853069346<0.16681441672234057\n",
"revised distance squared from orbit of 7 to 23 is at most 0.16681441672234057. \n",
"distance squared from orbit of 7 to 23 will be revised since for 7 17 23: 1.263027595839269e-6+0.16666729282721915<0.16681441672234057\n",
"revised distance squared from orbit of 7 to 23 is at most 0.1666679955210553. \n",
"distance squared from orbit of 7 to 24 will be revised since for 7 14 24: 1.4710941048008673e-5+0.2001726770740916<0.20051249941186536\n",
"revised distance squared from orbit of 7 to 24 is at most 0.2001302026871585. \n",
"distance squared from orbit of 7 to 24 will be revised since for 7 19 24: 4.6786606460233565e-6+0.20003145517115023<0.2001302026871585\n",
"revised distance squared from orbit of 7 to 24 is at most 0.20009785545474057. \n",
"distance squared from orbit of 7 to 24 will be revised since for 7 26 24: 1.3595408774010883e-5+0.2000000000043958<0.20009785545474057\n",
"revised distance squared from orbit of 7 to 24 is at most 0.20009785545474057. \n",
"distance squared from orbit of 7 to 25 will be revised since for 7 11 25: 0.0003164591535334058+7.599419494807388e-7<0.000348225454484231\n",
"revised distance squared from orbit of 7 to 25 is at most 0.000348225454484231. \n",
"distance squared from orbit of 7 to 25 will be revised since for 7 14 25: 1.4710941048008673e-5+1.221372786969346e-6<0.000348225454484231\n",
"revised distance squared from orbit of 7 to 25 is at most 0.000348225454484231. \n",
"distance squared from orbit of 7 to 25 will be revised since for 7 17 25: 1.263027595839269e-6+1.7858696746781515e-6<0.000348225454484231\n",
"revised distance squared from orbit of 7 to 25 is at most 3.161600266375427e-6. \n",
"distance squared from orbit of 7 to 26 will be revised since for 7 19 26: 4.6786606460233565e-6+3.769987491983651e-7<1.3595408774010883e-5\n",
"revised distance squared from orbit of 7 to 26 is at most 3.945052916295837e-6. \n",
"distance squared from orbit of 7 to 27 will be revised since for 7 17 27: 1.263027595839269e-6+3.78833898929077e-7<1.6116919434028126e-5\n",
"revised distance squared from orbit of 7 to 27 is at most 9.367349159776999e-7. \n",
"\n",
"distance squared from orbit of 8 to 2 will be revised since for 8 1 2: 0.5000000000000856+4.7390670297129574e-7<0.5000005450292522\n",
"revised distance squared from orbit of 8 to 2 is at most 0.5000005450292522. \n",
"distance squared from orbit of 8 to 6 will be revised since for 8 18 6: 6.06350248588218e-7+0.3333333333333851<0.33333469488461986\n",
"revised distance squared from orbit of 8 to 6 is at most 0.3333334121541456. \n",
"distance squared from orbit of 8 to 7 will be revised since for 8 1 7: 0.5000000000000856+3.737521804908807e-6<0.5941322384156831\n",
"revised distance squared from orbit of 8 to 7 is at most 0.5941322384156831. \n",
"distance squared from orbit of 8 to 7 will be revised since for 8 2 7: 0.5000005450292522+1.3363366098697689e-5<0.5941322384156831\n",
"revised distance squared from orbit of 8 to 7 is at most 0.5941322384156831. \n",
"distance squared from orbit of 8 to 7 will be revised since for 8 3 7: 0.5000000000000409+3.527170575322729e-5<0.5941322384156831\n",
"revised distance squared from orbit of 8 to 7 is at most 0.5941322384156831. \n",
"distance squared from orbit of 8 to 10 will be revised since for 8 4 10: 0.33333333333335075+5.234815624435434e-12<0.39421966414260984\n",
"revised distance squared from orbit of 8 to 10 is at most 0.39421966414260984. \n",
"distance squared from orbit of 8 to 11 will be revised since for 8 6 11: 0.3333334121541456+2.686787244106156e-7<0.33333498896412356\n",
"revised distance squared from orbit of 8 to 11 is at most 0.33333498896412356. \n",
"distance squared from orbit of 8 to 11 will be revised since for 8 18 11: 6.06350248588218e-7+0.3333333333334648<0.33333498896412356\n",
"revised distance squared from orbit of 8 to 11 is at most 0.3333333773733917. \n",
"distance squared from orbit of 8 to 16 will be revised since for 8 6 16: 0.3333334121541456+0.400014388943892<0.8000000000002945\n",
"revised distance squared from orbit of 8 to 16 is at most 0.8000000000002945. \n",
"distance squared from orbit of 8 to 16 will be revised since for 8 11 16: 0.3333333773733917+0.4000000832701194<0.8000000000002945\n",
"revised distance squared from orbit of 8 to 16 is at most 0.8000000000002945. \n",
"distance squared from orbit of 8 to 16 will be revised since for 8 17 16: 0.3260805082740401+0.4000000064121565<0.8000000000002945\n",
"revised distance squared from orbit of 8 to 16 is at most 0.8000000000002945. \n",
"distance squared from orbit of 8 to 17 will be revised since for 8 18 17: 6.06350248588218e-7+0.32607687371707106<0.3260805082740401\n",
"revised distance squared from orbit of 8 to 17 is at most 0.3260769682961188. \n",
"distance squared from orbit of 8 to 19 will be revised since for 8 14 19: 2.7021844120461495e-5+7.23677262424707e-7<0.0001400925454269904\n",
"revised distance squared from orbit of 8 to 19 is at most 2.5821646947793584e-5. \n",
"distance squared from orbit of 8 to 21 will be revised since for 8 13 21: 0.16666720871693394+0.20000000147282754<0.40000000000043157\n",
"revised distance squared from orbit of 8 to 21 is at most 0.40000000000043157. \n",
"distance squared from orbit of 8 to 21 will be revised since for 8 23 21: 0.1666680786297943+0.20000000000001478<0.40000000000043157\n",
"revised distance squared from orbit of 8 to 21 is at most 0.40000000000043157. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 1 22: 0.5000000000000856+8.55337840172618e-7<0.5000008984852868\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000008984852868. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 6 22: 0.3333334121541456+5.8062241766333415e-5<0.5000008984852868\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000008984852868. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 11 22: 0.3333333773733917+1.235564730351733e-5<0.5000008984852868\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000008984852868. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 17 22: 0.3260769682961188+9.750836732961828e-7<0.5000008984852868\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000008984852868. \n",
"distance squared from orbit of 8 to 22 will be revised since for 8 18 22: 6.06350248588218e-7+0.500000000000104<0.5000008984852868\n",
"revised distance squared from orbit of 8 to 22 is at most 0.5000000953140501. \n",
"distance squared from orbit of 8 to 23 will be revised since for 8 13 23: 0.16666720871693394+3.613115657003716e-9<0.1666680786297943\n",
"revised distance squared from orbit of 8 to 23 is at most 0.1666680786297943. \n",
"distance squared from orbit of 8 to 23 will be revised since for 8 18 23: 6.06350248588218e-7+0.16666666960961546<0.1666680786297943\n",
"revised distance squared from orbit of 8 to 23 is at most 0.16666681770436975. \n",
"distance squared from orbit of 8 to 24 will be revised since for 8 14 24: 2.7021844120461495e-5+0.2001726770740916<0.20643622130016534\n",
"revised distance squared from orbit of 8 to 24 is at most 0.2001419260164852. \n",
"distance squared from orbit of 8 to 24 will be revised since for 8 19 24: 2.5821646947793584e-5+0.20003145517115023<0.2001419260164852\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 8 to 24 is at most 0.2001419260164852. \n",
"distance squared from orbit of 8 to 25 will be revised since for 8 18 25: 6.06350248588218e-7+2.2542424581964638e-8<2.313516512584589e-6\n",
"revised distance squared from orbit of 8 to 25 is at most 2.953228993195046e-7. \n",
"distance squared from orbit of 8 to 26 will be revised since for 8 14 26: 2.7021844120461495e-5+6.606043966159685e-7<0.0002165076757744574\n",
"revised distance squared from orbit of 8 to 26 is at most 4.065639360660219e-5. \n",
"distance squared from orbit of 8 to 26 will be revised since for 8 19 26: 2.5821646947793584e-5+3.769987491983651e-7<4.065639360660219e-5\n",
"revised distance squared from orbit of 8 to 26 is at most 4.065639360660219e-5. \n",
"distance squared from orbit of 8 to 27 will be revised since for 8 18 27: 6.06350248588218e-7+1.6852438882707318e-6<5.114882964073646e-6\n",
"revised distance squared from orbit of 8 to 27 is at most 5.114882964073646e-6. \n",
"distance squared from orbit of 8 to 27 will be revised since for 8 20 27: 1.5817583094188067e-6+2.8689681112330136e-8<5.114882964073646e-6\n",
"revised distance squared from orbit of 8 to 27 is at most 1.0921697109832985e-7. \n",
"\n",
"distance squared from orbit of 9 to 3 will be revised since for 9 1 3: 0.5000000000001593+7.805776850455649e-12<0.5669872981090082\n",
"revised distance squared from orbit of 9 to 3 is at most 0.5669872981090082. \n",
"distance squared from orbit of 9 to 7 will be revised since for 9 1 7: 0.5000000000001593+3.737521804908807e-6<0.5494262597416593\n",
"revised distance squared from orbit of 9 to 7 is at most 0.5494262597416593. \n",
"distance squared from orbit of 9 to 7 will be revised since for 9 2 7: 0.50000020740378+1.3363366098697689e-5<0.5494262597416593\n",
"revised distance squared from orbit of 9 to 7 is at most 0.5494262597416593. \n",
"distance squared from orbit of 9 to 8 will be revised since for 9 12 8: 3.627459783330791e-7+0.2500001573519962<0.25000062794329564\n",
"revised distance squared from orbit of 9 to 8 is at most 0.25000013397789084. \n",
"distance squared from orbit of 9 to 10 will be revised since for 9 4 10: 0.3333333333333543+5.234815624435434e-12<0.33333333340210947\n",
"revised distance squared from orbit of 9 to 10 is at most 0.33333333340210947. \n",
"distance squared from orbit of 9 to 14 will be revised since for 9 8 14: 0.25000013397789084+2.7021844120461495e-5<0.25008800443359147\n",
"revised distance squared from orbit of 9 to 14 is at most 0.25008800443359147. \n",
"distance squared from orbit of 9 to 14 will be revised since for 9 12 14: 3.627459783330791e-7+0.2500423638177051<0.25008800443359147\n",
"revised distance squared from orbit of 9 to 14 is at most 0.2500364793918919. \n",
"distance squared from orbit of 9 to 19 will be revised since for 9 12 19: 3.627459783330791e-7+6.792441490591883e-5<0.00020692670696793178\n",
"revised distance squared from orbit of 9 to 19 is at most 5.1009640556405667e-5. \n",
"distance squared from orbit of 9 to 20 will be revised since for 9 15 20: 1.5626980557001169e-7+6.453630671211461e-7<0.00015347763063687313\n",
"revised distance squared from orbit of 9 to 20 is at most 8.77880131741515e-7. \n",
"distance squared from orbit of 9 to 22 will be revised since for 9 6 22: 0.3333335519650089+5.8062241766333415e-5<0.5000004716709037\n",
"revised distance squared from orbit of 9 to 22 is at most 0.5000004716709037. \n",
"distance squared from orbit of 9 to 22 will be revised since for 9 11 22: 0.3333335728668139+1.235564730351733e-5<0.5000004716709037\n",
"revised distance squared from orbit of 9 to 22 is at most 0.5000004716709037. \n",
"distance squared from orbit of 9 to 22 will be revised since for 9 17 22: 0.32607727590922786+9.750836732961828e-7<0.5000004716709037\n",
"revised distance squared from orbit of 9 to 22 is at most 0.5000004716709037. \n",
"distance squared from orbit of 9 to 23 will be revised since for 9 13 23: 8.205210976586141e-7+3.613115657003716e-9<9.616406833534977e-7\n",
"revised distance squared from orbit of 9 to 23 is at most 1.3369142430949293e-8. \n",
"distance squared from orbit of 9 to 25 will be revised since for 9 13 25: 8.205210976586141e-7+4.825120953945364e-7<1.5841012458733496e-6\n",
"revised distance squared from orbit of 9 to 25 is at most 1.5841012458733496e-6. \n",
"distance squared from orbit of 9 to 25 will be revised since for 9 18 25: 8.380347914419087e-7+2.2542424581964638e-8<1.5841012458733496e-6\n",
"revised distance squared from orbit of 9 to 25 is at most 3.518527372864606e-7. \n",
"distance squared from orbit of 9 to 26 will be revised since for 9 12 26: 3.627459783330791e-7+0.00017821694368675138<0.00022158840544416112\n",
"revised distance squared from orbit of 9 to 26 is at most 0.00014527287601858368. \n",
"distance squared from orbit of 9 to 26 will be revised since for 9 13 26: 8.205210976586141e-7+2.916569317815408e-5<0.00014527287601858368\n",
"revised distance squared from orbit of 9 to 26 is at most 2.4713629701279583e-5. \n",
"distance squared from orbit of 9 to 26 will be revised since for 9 23 26: 1.3369142430949293e-8+1.612706232522123e-5<2.4713629701279583e-5\n",
"revised distance squared from orbit of 9 to 26 is at most 2.1885470879687152e-5. \n",
"distance squared from orbit of 9 to 27 will be revised since for 9 12 27: 3.627459783330791e-7+1.2316670853102038e-5<7.450473630159455e-5\n",
"revised distance squared from orbit of 9 to 27 is at most 7.450473630159455e-5. \n",
"distance squared from orbit of 9 to 27 will be revised since for 9 15 27: 1.5626980557001169e-7+1.179155506353581e-6<7.450473630159455e-5\n",
"revised distance squared from orbit of 9 to 27 is at most 2.3148498232927704e-6. \n",
"distance squared from orbit of 9 to 27 will be revised since for 9 20 27: 8.77880131741515e-7+2.8689681112330136e-8<2.3148498232927704e-6\n",
"revised distance squared from orbit of 9 to 27 is at most 2.3148498232927704e-6. \n",
"distance squared from orbit of 9 to 27 will be revised since for 9 25 27: 3.518527372864606e-7+4.14283971197918e-8<2.3148498232927704e-6\n",
"revised distance squared from orbit of 9 to 27 is at most 2.0902216184975084e-6. \n",
"\n",
"distance squared from orbit of 10 to 2 will be revised since for 10 13 2: 1.4204618059276604e-10+0.5000000000056285<0.5000000015327628\n",
"revised distance squared from orbit of 10 to 2 is at most 0.500000000023353. \n",
"distance squared from orbit of 10 to 6 will be revised since for 10 13 6: 1.4204618059276604e-10+0.33333407108394236<0.33333706503559646\n",
"revised distance squared from orbit of 10 to 6 is at most 0.33333390969484816. \n",
"distance squared from orbit of 10 to 7 will be revised since for 10 2 7: 0.500000000023353+1.3363366098697689e-5<0.5588006533942114\n",
"revised distance squared from orbit of 10 to 7 is at most 0.5588006533942114. \n",
"distance squared from orbit of 10 to 8 will be revised since for 10 13 8: 1.4204618059276604e-10+0.48651951039500657<0.48652147143479696\n",
"revised distance squared from orbit of 10 to 8 is at most 0.48651936803288376. \n",
"distance squared from orbit of 10 to 11 will be revised since for 10 6 11: 0.33333390969484816+2.686787244106156e-7<0.3333365197032112\n",
"revised distance squared from orbit of 10 to 11 is at most 0.3333365197032112. \n",
"distance squared from orbit of 10 to 11 will be revised since for 10 13 11: 1.4204618059276604e-10+0.33333438266905774<0.3333365197032112\n",
"revised distance squared from orbit of 10 to 11 is at most 0.33333418957930755. \n",
"distance squared from orbit of 10 to 12 will be revised since for 10 13 12: 1.4204618059276604e-10+0.40000010433417926<0.4000058448779489\n",
"revised distance squared from orbit of 10 to 12 is at most 0.4000001041691904. \n",
"distance squared from orbit of 10 to 15 will be revised since for 10 13 15: 1.4204618059276604e-10+0.33333349125856765<0.33334115263219355\n",
"revised distance squared from orbit of 10 to 15 is at most 0.33333348706219323. \n",
"distance squared from orbit of 10 to 15 will be revised since for 10 23 15: 1.943331398265633e-10+0.333333333536027<0.33333348706219323\n",
"revised distance squared from orbit of 10 to 15 is at most 0.33333348706219323. \n",
"distance squared from orbit of 10 to 17 will be revised since for 10 13 17: 1.4204618059276604e-10+0.3260778430985924<0.3260827945349805\n",
"revised distance squared from orbit of 10 to 17 is at most 0.32607761623778936. \n",
"distance squared from orbit of 10 to 18 will be revised since for 10 13 18: 1.4204618059276604e-10+6.70577031519286e-7<3.741276907243004e-6\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 10 to 18 is at most 6.2497385953656e-7. \n",
"distance squared from orbit of 10 to 19 will be revised since for 10 13 19: 1.4204618059276604e-10+0.00013169016679439327<0.00015499658637500342\n",
"revised distance squared from orbit of 10 to 19 is at most 0.00010405578206829336. \n",
"distance squared from orbit of 10 to 20 will be revised since for 10 14 20: 0.0001335380686589406+2.7703186720002404e-5<0.00046491331215565605\n",
"revised distance squared from orbit of 10 to 20 is at most 0.00046491331215565605. \n",
"distance squared from orbit of 10 to 20 will be revised since for 10 18 20: 6.2497385953656e-7+1.1327787210726066e-5<0.00046491331215565605\n",
"revised distance squared from orbit of 10 to 20 is at most 0.00046491331215565605. \n",
"distance squared from orbit of 10 to 20 will be revised since for 10 19 20: 0.00010405578206829336+7.246916594675523e-7<0.00046491331215565605\n",
"revised distance squared from orbit of 10 to 20 is at most 0.0003215790401518447. \n",
"distance squared from orbit of 10 to 22 will be revised since for 10 2 22: 0.500000000023353+1.6213807088124096e-6<0.5000028926686826\n",
"revised distance squared from orbit of 10 to 22 is at most 0.5000028926686826. \n",
"distance squared from orbit of 10 to 22 will be revised since for 10 6 22: 0.33333390969484816+5.8062241766333415e-5<0.5000028926686826\n",
"revised distance squared from orbit of 10 to 22 is at most 0.5000028926686826. \n",
"distance squared from orbit of 10 to 22 will be revised since for 10 11 22: 0.33333418957930755+1.235564730351733e-5<0.5000028926686826\n",
"revised distance squared from orbit of 10 to 22 is at most 0.5000028926686826. \n",
"distance squared from orbit of 10 to 22 will be revised since for 10 13 22: 1.4204618059276604e-10+0.5000009608537564<0.5000028926686826\n",
"revised distance squared from orbit of 10 to 22 is at most 0.5000009421230195. \n",
"distance squared from orbit of 10 to 22 will be revised since for 10 17 22: 0.32607761623778936+9.750836732961828e-7<0.5000009421230195\n",
"revised distance squared from orbit of 10 to 22 is at most 0.5000009421230195. \n",
"distance squared from orbit of 10 to 22 will be revised since for 10 18 22: 6.2497385953656e-7+0.500000000000104<0.5000009421230195\n",
"revised distance squared from orbit of 10 to 22 is at most 0.5000004029091097. \n",
"distance squared from orbit of 10 to 24 will be revised since for 10 13 24: 1.4204618059276604e-10+0.20000008120173104<0.20000008817164525\n",
"revised distance squared from orbit of 10 to 24 is at most 0.20000007514498166. \n",
"distance squared from orbit of 10 to 24 will be revised since for 10 21 24: 0.20000000003043522+1.8704434396067724e-9<0.20000007514498166\n",
"revised distance squared from orbit of 10 to 24 is at most 0.20000001112810134. \n",
"distance squared from orbit of 10 to 24 will be revised since for 10 23 24: 1.943331398265633e-10+0.20000000010320002<0.20000001112810134\n",
"revised distance squared from orbit of 10 to 24 is at most 0.20000001112810134. \n",
"distance squared from orbit of 10 to 25 will be revised since for 10 13 25: 1.4204618059276604e-10+4.825120953945364e-7<3.974033574189082e-6\n",
"revised distance squared from orbit of 10 to 25 is at most 4.714169674554711e-7. \n",
"distance squared from orbit of 10 to 26 will be revised since for 10 23 26: 1.943331398265633e-10+1.612706232522123e-5<2.593119713740453e-5\n",
"revised distance squared from orbit of 10 to 26 is at most 1.3337431663780173e-5. \n",
"distance squared from orbit of 10 to 27 will be revised since for 10 18 27: 6.2497385953656e-7+1.6852438882707318e-6<0.00011879476687348792\n",
"revised distance squared from orbit of 10 to 27 is at most 8.609522018356173e-5. \n",
"distance squared from orbit of 10 to 27 will be revised since for 10 25 27: 4.714169674554711e-7+4.14283971197918e-8<8.609522018356173e-5\n",
"revised distance squared from orbit of 10 to 27 is at most 8.609522018356173e-5. \n",
"distance squared from orbit of 10 to 27 will be revised since for 10 26 27: 1.3337431663780173e-5+8.322754772760513e-7<8.609522018356173e-5\n",
"revised distance squared from orbit of 10 to 27 is at most 4.344292823082422e-5. \n",
"\n",
"distance squared from orbit of 11 to 1 will be revised since for 11 12 1: 0.40000001924218953+0.5000000000000222<0.9656654775749461\n",
"revised distance squared from orbit of 11 to 1 is at most 0.9656654775749461. \n",
"distance squared from orbit of 11 to 1 will be revised since for 11 13 1: 0.16666679187421402+0.6666666666668133<0.9656654775749461\n",
"revised distance squared from orbit of 11 to 1 is at most 0.9656654775749461. \n",
"distance squared from orbit of 11 to 4 will be revised since for 11 18 4: 3.1807084935053145e-7+0.6666666706541337<0.6666671730709346\n",
"revised distance squared from orbit of 11 to 4 is at most 0.6666666714253566. \n",
"distance squared from orbit of 11 to 7 will be revised since for 11 2 7: 0.5000000675766444+1.3363366098697689e-5<0.5000168471779197\n",
"revised distance squared from orbit of 11 to 7 is at most 0.5000168471779197. \n",
"distance squared from orbit of 11 to 7 will be revised since for 11 17 7: 1.1476213308831052e-6+0.5000000640379387<0.5000168471779197\n",
"revised distance squared from orbit of 11 to 7 is at most 0.5000027589764414. \n",
"distance squared from orbit of 11 to 8 will be revised since for 11 27 8: 2.4085920933492915e-8+0.5000000000000453<0.5000002170686592\n",
"revised distance squared from orbit of 11 to 8 is at most 0.5000000304567919. \n",
"distance squared from orbit of 11 to 9 will be revised since for 11 12 9: 0.40000001924218953+0.2500000000000293<0.7268409429801785\n",
"revised distance squared from orbit of 11 to 9 is at most 0.7268409429801785. \n",
"distance squared from orbit of 11 to 9 will be revised since for 11 13 9: 0.16666679187421402+0.5000000000001109<0.7268409429801785\n",
"revised distance squared from orbit of 11 to 9 is at most 0.7268409429801785. \n",
"distance squared from orbit of 11 to 9 will be revised since for 11 23 9: 0.1666670423896691+0.5000000000000189<0.7268409429801785\n",
"revised distance squared from orbit of 11 to 9 is at most 0.7268409429801785. \n",
"distance squared from orbit of 11 to 15 will be revised since for 11 19 15: 0.14285764945558704+0.3334064953056072<0.5000000009940508\n",
"revised distance squared from orbit of 11 to 15 is at most 0.5000000009940508. \n",
"distance squared from orbit of 11 to 15 will be revised since for 11 26 15: 0.1428571562857499+0.33333333333655313<0.5000000009940508\n",
"revised distance squared from orbit of 11 to 15 is at most 0.5000000009940508. \n",
"distance squared from orbit of 11 to 21 will be revised since for 11 13 21: 0.16666679187421402+0.20000000147282754<0.40000030187178515\n",
"revised distance squared from orbit of 11 to 21 is at most 0.4000000108851653. \n",
"distance squared from orbit of 11 to 21 will be revised since for 11 23 21: 0.1666670423896691+0.20000000000001478<0.4000000108851653\n",
"revised distance squared from orbit of 11 to 21 is at most 0.4000000108851653. \n",
"distance squared from orbit of 11 to 22 will be revised since for 11 17 22: 1.1476213308831052e-6+9.750836732961828e-7<1.235564730351733e-5\n",
"revised distance squared from orbit of 11 to 22 is at most 1.235564730351733e-5. \n",
"distance squared from orbit of 11 to 23 will be revised since for 11 13 23: 0.16666679187421402+3.613115657003716e-9<0.1666670423896691\n",
"revised distance squared from orbit of 11 to 23 is at most 0.16666675155217792. \n",
"distance squared from orbit of 11 to 24 will be revised since for 11 13 24: 0.16666679187421402+0.20000008120173104<0.400000024519607\n",
"revised distance squared from orbit of 11 to 24 is at most 0.400000024519607. \n",
"distance squared from orbit of 11 to 24 will be revised since for 11 19 24: 0.14285764945558704+0.20003145517115023<0.400000024519607\n",
"revised distance squared from orbit of 11 to 24 is at most 0.400000024519607. \n",
"distance squared from orbit of 11 to 24 will be revised since for 11 21 24: 0.4000000108851653+1.8704434396067724e-9<0.400000024519607\n",
"revised distance squared from orbit of 11 to 24 is at most 0.400000024519607. \n",
"distance squared from orbit of 11 to 24 will be revised since for 11 23 24: 0.16666675155217792+0.20000000010320002<0.400000024519607\n",
"revised distance squared from orbit of 11 to 24 is at most 0.400000024519607. \n",
"distance squared from orbit of 11 to 24 will be revised since for 11 26 24: 0.1428571562857499+0.2000000000043958<0.400000024519607\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 11 to 24 is at most 0.400000024519607. \n",
"distance squared from orbit of 11 to 24 will be revised since for 11 27 24: 2.4085920933492915e-8+0.4000000000000207<0.400000024519607\n",
"revised distance squared from orbit of 11 to 24 is at most 0.4000000120961839. \n",
"distance squared from orbit of 11 to 25 will be revised since for 11 18 25: 3.1807084935053145e-7+2.2542424581964638e-8<7.599419494807388e-7\n",
"revised distance squared from orbit of 11 to 25 is at most 2.3583944455157915e-8. \n",
"\n",
"distance squared from orbit of 12 to 3 will be revised since for 12 1 3: 0.5000000000000222+7.805776850455649e-12<0.5669872981079116\n",
"revised distance squared from orbit of 12 to 3 is at most 0.5669872981079116. \n",
"distance squared from orbit of 12 to 7 will be revised since for 12 1 7: 0.5000000000000222+3.737521804908807e-6<0.574427077456487\n",
"revised distance squared from orbit of 12 to 7 is at most 0.574427077456487. \n",
"distance squared from orbit of 12 to 7 will be revised since for 12 2 7: 0.5000000000000526+1.3363366098697689e-5<0.574427077456487\n",
"revised distance squared from orbit of 12 to 7 is at most 0.574427077456487. \n",
"distance squared from orbit of 12 to 7 will be revised since for 12 3 7: 0.5669872981079116+3.527170575322729e-5<0.574427077456487\n",
"revised distance squared from orbit of 12 to 7 is at most 0.574427077456487. \n",
"distance squared from orbit of 12 to 10 will be revised since for 12 4 10: 0.33333333333337867+5.234815624435434e-12<0.394219664142602\n",
"revised distance squared from orbit of 12 to 10 is at most 0.394219664142602. \n",
"distance squared from orbit of 12 to 14 will be revised since for 12 8 14: 0.2500001573519962+2.7021844120461495e-5<0.2500423638177051\n",
"revised distance squared from orbit of 12 to 14 is at most 0.2500423638177051. \n",
"distance squared from orbit of 12 to 15 will be revised since for 12 9 15: 0.2500000000000293+1.5626980557001169e-7<0.2500002812521955\n",
"revised distance squared from orbit of 12 to 15 is at most 0.2500001084284096. \n",
"distance squared from orbit of 12 to 20 will be revised since for 12 18 20: 9.84594644457221e-7+1.1327787210726066e-5<0.0015028219113744526\n",
"revised distance squared from orbit of 12 to 20 is at most 0.0006148910167245095. \n",
"distance squared from orbit of 12 to 20 will be revised since for 12 19 20: 6.792441490591883e-5+7.246916594675523e-7<0.0006148910167245095\n",
"revised distance squared from orbit of 12 to 20 is at most 0.00030689558663228345. \n",
"distance squared from orbit of 12 to 21 will be revised since for 12 13 21: 0.16666685980954538+0.20000000147282754<0.4000000000000575\n",
"revised distance squared from orbit of 12 to 21 is at most 0.4000000000000575. \n",
"distance squared from orbit of 12 to 21 will be revised since for 12 23 21: 0.16666666666693666+0.20000000000001478<0.4000000000000575\n",
"revised distance squared from orbit of 12 to 21 is at most 0.4000000000000575. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 6 22: 0.3333338359033596+5.8062241766333415e-5<0.5000004393227095\n",
"revised distance squared from orbit of 12 to 22 is at most 0.5000004393227095. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 11 22: 0.33333390787683137+1.235564730351733e-5<0.5000004393227095\n",
"revised distance squared from orbit of 12 to 22 is at most 0.5000004393227095. \n",
"distance squared from orbit of 12 to 22 will be revised since for 12 17 22: 0.3260776262585117+9.750836732961828e-7<0.5000004393227095\n",
"revised distance squared from orbit of 12 to 22 is at most 0.5000004393227095. \n",
"distance squared from orbit of 12 to 24 will be revised since for 12 19 24: 6.792441490591883e-5+0.20003145517115023<0.20472442739582336\n",
"revised distance squared from orbit of 12 to 24 is at most 0.20068539256248133. \n",
"distance squared from orbit of 12 to 24 will be revised since for 12 26 24: 0.00017821694368675138+0.2000000000043958<0.20068539256248133\n",
"revised distance squared from orbit of 12 to 24 is at most 0.20068539256248133. \n",
"distance squared from orbit of 12 to 25 will be revised since for 12 18 25: 9.84594644457221e-7+2.2542424581964638e-8<2.6347902930353763e-6\n",
"revised distance squared from orbit of 12 to 25 is at most 8.559533468642625e-8. \n",
"distance squared from orbit of 12 to 26 will be revised since for 12 19 26: 6.792441490591883e-5+3.769987491983651e-7<0.00017821694368675138\n",
"revised distance squared from orbit of 12 to 26 is at most 0.00017821694368675138. \n",
"distance squared from orbit of 12 to 27 will be revised since for 12 18 27: 9.84594644457221e-7+1.6852438882707318e-6<1.2316670853102038e-5\n",
"revised distance squared from orbit of 12 to 27 is at most 8.028773783475152e-6. \n",
"distance squared from orbit of 12 to 27 will be revised since for 12 25 27: 8.559533468642625e-8+4.14283971197918e-8<8.028773783475152e-6\n",
"revised distance squared from orbit of 12 to 27 is at most 9.635940918830785e-7. \n",
"\n",
"distance squared from orbit of 13 to 6 will be revised since for 13 18 6: 6.70577031519286e-7+0.3333333333333851<0.33333407108394236\n",
"revised distance squared from orbit of 13 to 6 is at most 0.3333335996964774. \n",
"distance squared from orbit of 13 to 7 will be revised since for 13 2 7: 0.5000000000056285+1.3363366098697689e-5<0.5609503356752914\n",
"revised distance squared from orbit of 13 to 7 is at most 0.5609503356752914. \n",
"distance squared from orbit of 13 to 11 will be revised since for 13 6 11: 0.3333335996964774+2.686787244106156e-7<0.33333438266905774\n",
"revised distance squared from orbit of 13 to 11 is at most 0.33333438266905774. \n",
"distance squared from orbit of 13 to 11 will be revised since for 13 18 11: 6.70577031519286e-7+0.3333333333334648<0.33333438266905774\n",
"revised distance squared from orbit of 13 to 11 is at most 0.33333353406707567. \n",
"distance squared from orbit of 13 to 14 will be revised since for 13 19 14: 0.00013169016679439327+0.2500000000000806<0.2501408277584667\n",
"revised distance squared from orbit of 13 to 14 is at most 0.2500337879511011. \n",
"distance squared from orbit of 13 to 15 will be revised since for 13 23 15: 3.613115657003716e-9+0.333333333536027<0.33333349125856765\n",
"revised distance squared from orbit of 13 to 15 is at most 0.33333349125856765. \n",
"distance squared from orbit of 13 to 17 will be revised since for 13 18 17: 6.70577031519286e-7+0.32607687371707106<0.3260778430985924\n",
"revised distance squared from orbit of 13 to 17 is at most 0.32607710170643484. \n",
"distance squared from orbit of 13 to 20 will be revised since for 13 18 20: 6.70577031519286e-7+1.1327787210726066e-5<0.0013380421314302356\n",
"revised distance squared from orbit of 13 to 20 is at most 0.0013380421314302356. \n",
"distance squared from orbit of 13 to 20 will be revised since for 13 19 20: 0.00013169016679439327+7.246916594675523e-7<0.0013380421314302356\n",
"revised distance squared from orbit of 13 to 20 is at most 0.0003309244455305999. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 6 22: 0.3333335996964774+5.8062241766333415e-5<0.5000009608537564\n",
"revised distance squared from orbit of 13 to 22 is at most 0.5000009608537564. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 11 22: 0.33333353406707567+1.235564730351733e-5<0.5000009608537564\n",
"revised distance squared from orbit of 13 to 22 is at most 0.5000009608537564. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 17 22: 0.32607710170643484+9.750836732961828e-7<0.5000009608537564\n",
"revised distance squared from orbit of 13 to 22 is at most 0.5000009608537564. \n",
"distance squared from orbit of 13 to 22 will be revised since for 13 18 22: 6.70577031519286e-7+0.500000000000104<0.5000009608537564\n",
"revised distance squared from orbit of 13 to 22 is at most 0.500000255106739. \n",
"distance squared from orbit of 13 to 24 will be revised since for 13 21 24: 0.20000000147282754+1.8704434396067724e-9<0.20000008120173104\n",
"revised distance squared from orbit of 13 to 24 is at most 0.20000008120173104. \n",
"distance squared from orbit of 13 to 24 will be revised since for 13 23 24: 3.613115657003716e-9+0.20000000010320002<0.20000008120173104\n",
"revised distance squared from orbit of 13 to 24 is at most 0.20000008120173104. \n",
"distance squared from orbit of 13 to 26 will be revised since for 13 23 26: 3.613115657003716e-9+1.612706232522123e-5<2.916569317815408e-5\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 13 to 26 is at most 1.1454464931328675e-5. \n",
"distance squared from orbit of 13 to 27 will be revised since for 13 18 27: 6.70577031519286e-7+1.6852438882707318e-6<0.00012852355615701453\n",
"revised distance squared from orbit of 13 to 27 is at most 6.396495350900023e-5. \n",
"distance squared from orbit of 13 to 27 will be revised since for 13 25 27: 4.825120953945364e-7+4.14283971197918e-8<6.396495350900023e-5\n",
"revised distance squared from orbit of 13 to 27 is at most 6.396495350900023e-5. \n",
"distance squared from orbit of 13 to 27 will be revised since for 13 26 27: 1.1454464931328675e-5+8.322754772760513e-7<6.396495350900023e-5\n",
"revised distance squared from orbit of 13 to 27 is at most 1.5255923450780328e-5. \n",
"\n",
"distance squared from orbit of 14 to 1 will be revised since for 14 8 1: 0.4865505027031861+0.5000000000000856<1.0000000000000768\n",
"revised distance squared from orbit of 14 to 1 is at most 1.0000000000000768. \n",
"distance squared from orbit of 14 to 1 will be revised since for 14 12 1: 0.4000860788803925+0.5000000000000222<1.0000000000000768\n",
"revised distance squared from orbit of 14 to 1 is at most 1.0000000000000768. \n",
"distance squared from orbit of 14 to 1 will be revised since for 14 13 1: 0.16666670501096717+0.6666666666668133<1.0000000000000768\n",
"revised distance squared from orbit of 14 to 1 is at most 1.0000000000000768. \n",
"distance squared from orbit of 14 to 1 will be revised since for 14 18 1: 8.589828039503053e-7+0.9656654756058254<1.0000000000000768\n",
"revised distance squared from orbit of 14 to 1 is at most 0.965665609134506. \n",
"distance squared from orbit of 14 to 4 will be revised since for 14 18 4: 8.589828039503053e-7+0.6666666706541337<0.6666676241545804\n",
"revised distance squared from orbit of 14 to 4 is at most 0.6666666730347803. \n",
"distance squared from orbit of 14 to 7 will be revised since for 14 2 7: 0.5000000308592726+1.3363366098697689e-5<0.605466805398357\n",
"revised distance squared from orbit of 14 to 7 is at most 0.605466805398357. \n",
"distance squared from orbit of 14 to 7 will be revised since for 14 18 7: 8.589828039503053e-7+0.6054643041586888<0.605466805398357\n",
"revised distance squared from orbit of 14 to 7 is at most 0.6054644909187415. \n",
"distance squared from orbit of 14 to 8 will be revised since for 14 19 8: 7.23677262424707e-7+0.4865189739360442<0.4865505027031861\n",
"revised distance squared from orbit of 14 to 8 is at most 0.4865347778025396. \n",
"distance squared from orbit of 14 to 9 will be revised since for 14 12 9: 0.4000860788803925+0.2500000000000293<0.7268408375253317\n",
"revised distance squared from orbit of 14 to 9 is at most 0.7268408375253317. \n",
"distance squared from orbit of 14 to 9 will be revised since for 14 13 9: 0.16666670501096717+0.5000000000001109<0.7268408375253317\n",
"revised distance squared from orbit of 14 to 9 is at most 0.7268408375253317. \n",
"distance squared from orbit of 14 to 9 will be revised since for 14 23 9: 0.16666691853069346+0.5000000000000189<0.7268408375253317\n",
"revised distance squared from orbit of 14 to 9 is at most 0.7268408375253317. \n",
"distance squared from orbit of 14 to 11 will be revised since for 14 6 11: 0.3333335823463945+2.686787244106156e-7<0.333333977708501\n",
"revised distance squared from orbit of 14 to 11 is at most 0.333333977708501. \n",
"distance squared from orbit of 14 to 12 will be revised since for 14 18 12: 8.589828039503053e-7+0.40000000000013763<0.4000860788803925\n",
"revised distance squared from orbit of 14 to 12 is at most 0.4000000917745049. \n",
"distance squared from orbit of 14 to 15 will be revised since for 14 13 15: 0.16666670501096717+0.33333349125856765<0.5000011254048706\n",
"revised distance squared from orbit of 14 to 15 is at most 0.5000011254048706. \n",
"distance squared from orbit of 14 to 15 will be revised since for 14 18 15: 8.589828039503053e-7+0.500000000000154<0.5000011254048706\n",
"revised distance squared from orbit of 14 to 15 is at most 0.500000337529801. \n",
"distance squared from orbit of 14 to 15 will be revised since for 14 19 15: 7.23677262424707e-7+0.3334064953056072<0.500000337529801\n",
"revised distance squared from orbit of 14 to 15 is at most 0.33335859692048947. \n",
"distance squared from orbit of 14 to 15 will be revised since for 14 26 15: 6.606043966159685e-7+0.33333333333655313<0.33335859692048947\n",
"revised distance squared from orbit of 14 to 15 is at most 0.33333423854668864. \n",
"distance squared from orbit of 14 to 16 will be revised since for 14 6 16: 0.3333335823463945+0.400014388943892<0.800000000000152\n",
"revised distance squared from orbit of 14 to 16 is at most 0.800000000000152. \n",
"distance squared from orbit of 14 to 16 will be revised since for 14 11 16: 0.333333977708501+0.4000000832701194<0.800000000000152\n",
"revised distance squared from orbit of 14 to 16 is at most 0.800000000000152. \n",
"distance squared from orbit of 14 to 16 will be revised since for 14 17 16: 0.3260774909408134+0.4000000064121565<0.800000000000152\n",
"revised distance squared from orbit of 14 to 16 is at most 0.800000000000152. \n",
"distance squared from orbit of 14 to 20 will be revised since for 14 18 20: 8.589828039503053e-7+1.1327787210726066e-5<2.7703186720002404e-5\n",
"revised distance squared from orbit of 14 to 20 is at most 1.1304295484696944e-5. \n",
"distance squared from orbit of 14 to 20 will be revised since for 14 19 20: 7.23677262424707e-7+7.246916594675523e-7<1.1304295484696944e-5\n",
"revised distance squared from orbit of 14 to 20 is at most 9.70363462246461e-7. \n",
"distance squared from orbit of 14 to 21 will be revised since for 14 13 21: 0.16666670501096717+0.20000000147282754<0.4000000940194731\n",
"revised distance squared from orbit of 14 to 21 is at most 0.4000000940194731. \n",
"distance squared from orbit of 14 to 21 will be revised since for 14 23 21: 0.16666691853069346+0.20000000000001478<0.4000000940194731\n",
"revised distance squared from orbit of 14 to 21 is at most 0.40000003536929435. \n",
"distance squared from orbit of 14 to 22 will be revised since for 14 6 22: 0.3333335823463945+5.8062241766333415e-5<0.5000003481361103\n",
"revised distance squared from orbit of 14 to 22 is at most 0.5000003481361103. \n",
"distance squared from orbit of 14 to 22 will be revised since for 14 11 22: 0.333333977708501+1.235564730351733e-5<0.5000003481361103\n",
"revised distance squared from orbit of 14 to 22 is at most 0.5000003481361103. \n",
"distance squared from orbit of 14 to 22 will be revised since for 14 17 22: 0.3260774909408134+9.750836732961828e-7<0.5000003481361103\n",
"revised distance squared from orbit of 14 to 22 is at most 0.5000003481361103. \n",
"distance squared from orbit of 14 to 23 will be revised since for 14 13 23: 0.16666670501096717+3.613115657003716e-9<0.16666691853069346\n",
"revised distance squared from orbit of 14 to 23 is at most 0.16666691853069346. \n",
"distance squared from orbit of 14 to 24 will be revised since for 14 19 24: 7.23677262424707e-7+0.20003145517115023<0.2001726770740916\n",
"revised distance squared from orbit of 14 to 24 is at most 0.20000557545170547. \n",
"distance squared from orbit of 14 to 24 will be revised since for 14 26 24: 6.606043966159685e-7+0.2000000000043958<0.20000557545170547\n",
"revised distance squared from orbit of 14 to 24 is at most 0.2000008470764712. \n",
"distance squared from orbit of 14 to 25 will be revised since for 14 18 25: 8.589828039503053e-7+2.2542424581964638e-8<1.221372786969346e-6\n",
"revised distance squared from orbit of 14 to 25 is at most 2.78612801023391e-8. \n",
"distance squared from orbit of 14 to 27 will be revised since for 14 18 27: 8.589828039503053e-7+1.6852438882707318e-6<9.196021435595674e-6\n",
"revised distance squared from orbit of 14 to 27 is at most 1.424115185978717e-6. \n",
"distance squared from orbit of 14 to 27 will be revised since for 14 20 27: 9.70363462246461e-7+2.8689681112330136e-8<1.424115185978717e-6\n",
"revised distance squared from orbit of 14 to 27 is at most 3.4130544751450124e-7. \n",
"distance squared from orbit of 14 to 27 will be revised since for 14 25 27: 2.78612801023391e-8+4.14283971197918e-8<3.4130544751450124e-7\n",
"revised distance squared from orbit of 14 to 27 is at most 5.31936047136792e-8. \n",
"\n",
"distance squared from orbit of 15 to 1 will be revised since for 15 8 1: 0.2500000000002711+0.5000000000000856<0.8964466094928326\n",
"revised distance squared from orbit of 15 to 1 is at most 0.8964466094928326. \n",
"distance squared from orbit of 15 to 2 will be revised since for 15 8 2: 0.2500000000002711+0.5000005450292522<0.7692257017757711\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 15 to 2 is at most 0.7692257017757711. \n",
"distance squared from orbit of 15 to 2 will be revised since for 15 14 2: 0.2500408702528596+0.5000000308592726<0.7692257017757711\n",
"revised distance squared from orbit of 15 to 2 is at most 0.7692257017757711. \n",
"distance squared from orbit of 15 to 4 will be revised since for 15 8 4: 0.2500000000002711+0.33333333333335075<0.666666666666749\n",
"revised distance squared from orbit of 15 to 4 is at most 0.666666666666749. \n",
"distance squared from orbit of 15 to 7 will be revised since for 15 3 7: 0.6473671297244358+3.527170575322729e-5<0.6606500560504187\n",
"revised distance squared from orbit of 15 to 7 is at most 0.6606500560504187. \n",
"distance squared from orbit of 15 to 10 will be revised since for 15 4 10: 0.666666666666749+5.234815624435434e-12<0.7113248654052632\n",
"revised distance squared from orbit of 15 to 10 is at most 0.7113248654052632. \n",
"distance squared from orbit of 15 to 10 will be revised since for 15 8 10: 0.2500000000002711+0.39421966414260984<0.7113248654052632\n",
"revised distance squared from orbit of 15 to 10 is at most 0.7113248654052632. \n",
"distance squared from orbit of 15 to 10 will be revised since for 15 14 10: 0.2500408702528596+0.4607847497730677<0.7113248654052632\n",
"revised distance squared from orbit of 15 to 10 is at most 0.7113248654052632. \n",
"distance squared from orbit of 15 to 11 will be revised since for 15 20 11: 6.453630671211461e-7+0.45873412263480484<0.4587348501075406\n",
"revised distance squared from orbit of 15 to 11 is at most 0.45873430780087243. \n",
"distance squared from orbit of 15 to 13 will be revised since for 15 8 13: 0.2500000000002711+0.16666720871693394<0.5929535825587424\n",
"revised distance squared from orbit of 15 to 13 is at most 0.5929535825587424. \n",
"distance squared from orbit of 15 to 13 will be revised since for 15 9 13: 0.5000000000000145+8.205210976586141e-7<0.5929535825587424\n",
"revised distance squared from orbit of 15 to 13 is at most 0.5929535825587424. \n",
"distance squared from orbit of 15 to 13 will be revised since for 15 12 13: 0.40000000000028285+0.16666685980954538<0.5929535825587424\n",
"revised distance squared from orbit of 15 to 13 is at most 0.5929535825587424. \n",
"distance squared from orbit of 15 to 13 will be revised since for 15 14 13: 0.2500408702528596+0.16666670501096717<0.5929535825587424\n",
"revised distance squared from orbit of 15 to 13 is at most 0.5929535825587424. \n",
"distance squared from orbit of 15 to 14 will be revised since for 15 8 14: 0.2500000000002711+2.7021844120461495e-5<0.2500408702528596\n",
"revised distance squared from orbit of 15 to 14 is at most 0.2500408702528596. \n",
"distance squared from orbit of 15 to 16 will be revised since for 15 17 16: 0.41499770085894705+0.4000000064121565<0.8534387353709587\n",
"revised distance squared from orbit of 15 to 16 is at most 0.8534387353709587. \n",
"distance squared from orbit of 15 to 18 will be revised since for 15 8 18: 0.2500000000002711+6.06350248588218e-7<0.48384604060668723\n",
"revised distance squared from orbit of 15 to 18 is at most 0.48384604060668723. \n",
"distance squared from orbit of 15 to 18 will be revised since for 15 11 18: 0.45873430780087243+3.1807084935053145e-7<0.48384604060668723\n",
"revised distance squared from orbit of 15 to 18 is at most 0.48384604060668723. \n",
"distance squared from orbit of 15 to 18 will be revised since for 15 12 18: 0.40000000000028285+9.84594644457221e-7<0.48384604060668723\n",
"revised distance squared from orbit of 15 to 18 is at most 0.48384604060668723. \n",
"distance squared from orbit of 15 to 18 will be revised since for 15 14 18: 0.2500408702528596+8.589828039503053e-7<0.48384604060668723\n",
"revised distance squared from orbit of 15 to 18 is at most 0.48384604060668723. \n",
"distance squared from orbit of 15 to 22 will be revised since for 15 3 22: 0.6473671297244358+3.160152534958536e-6<0.6752407509666554\n",
"revised distance squared from orbit of 15 to 22 is at most 0.6752407509666554. \n",
"distance squared from orbit of 15 to 22 will be revised since for 15 6 22: 0.500000289568463+5.8062241766333415e-5<0.6752407509666554\n",
"revised distance squared from orbit of 15 to 22 is at most 0.6752407509666554. \n",
"distance squared from orbit of 15 to 22 will be revised since for 15 7 22: 0.6606500560504187+4.0395610234185855e-7<0.6752407509666554\n",
"revised distance squared from orbit of 15 to 22 is at most 0.6752407509666554. \n",
"distance squared from orbit of 15 to 22 will be revised since for 15 11 22: 0.45873430780087243+1.235564730351733e-5<0.6752407509666554\n",
"revised distance squared from orbit of 15 to 22 is at most 0.6752407509666554. \n",
"distance squared from orbit of 15 to 22 will be revised since for 15 17 22: 0.41499770085894705+9.750836732961828e-7<0.6752407509666554\n",
"revised distance squared from orbit of 15 to 22 is at most 0.6752407509666554. \n",
"distance squared from orbit of 15 to 25 will be revised since for 15 20 25: 6.453630671211461e-7+3.613705994822693e-7<2.5452125986484096e-6\n",
"revised distance squared from orbit of 15 to 25 is at most 2.5452125986484096e-6. \n",
"distance squared from orbit of 15 to 26 will be revised since for 15 19 26: 8.896104882139321e-5+3.769987491983651e-7<0.0001571628786448057\n",
"revised distance squared from orbit of 15 to 26 is at most 2.3173895817376563e-5. \n",
"distance squared from orbit of 15 to 27 will be revised since for 15 20 27: 6.453630671211461e-7+2.8689681112330136e-8<1.179155506353581e-6\n",
"revised distance squared from orbit of 15 to 27 is at most 2.0640578253098235e-7. \n",
"\n",
"distance squared from orbit of 16 to 4 will be revised since for 16 3 4: 0.5000000000000384+0.3333333333498546<0.8888888888890311\n",
"revised distance squared from orbit of 16 to 4 is at most 0.8888888888890311. \n",
"distance squared from orbit of 16 to 4 will be revised since for 16 8 4: 0.5000000000002398+0.33333333333335075<0.8888888888890311\n",
"revised distance squared from orbit of 16 to 4 is at most 0.8888888888890311. \n",
"distance squared from orbit of 16 to 6 will be revised since for 16 2 6: 0.6000000000012072+0.0001425417457495989<0.6666675990648894\n",
"revised distance squared from orbit of 16 to 6 is at most 0.6666675990648894. \n",
"distance squared from orbit of 16 to 6 will be revised since for 16 3 6: 0.5000000000000384+0.16666702878448095<0.6666675990648894\n",
"revised distance squared from orbit of 16 to 6 is at most 0.6666675990648894. \n",
"distance squared from orbit of 16 to 6 will be revised since for 16 5 6: 0.33333333333743037+0.16677340639336152<0.6666675990648894\n",
"revised distance squared from orbit of 16 to 6 is at most 0.6666675990648894. \n",
"distance squared from orbit of 16 to 6 will be revised since for 16 11 6: 0.375000510093986+0.16666666666674113<0.6666675990648894\n",
"revised distance squared from orbit of 16 to 6 is at most 0.6666668682281917. \n",
"distance squared from orbit of 16 to 7 will be revised since for 16 22 7: 6.371313431564292e-7+0.5000000000001192<0.5000007827618808\n",
"revised distance squared from orbit of 16 to 7 is at most 0.5000001118341932. \n",
"distance squared from orbit of 16 to 9 will be revised since for 16 2 9: 0.6000000000012072+0.2500000016163185<0.9375000000026696\n",
"revised distance squared from orbit of 16 to 9 is at most 0.9375000000026696. \n",
"distance squared from orbit of 16 to 9 will be revised since for 16 3 9: 0.5000000000000384+0.25000000003904743<0.9375000000026696\n",
"revised distance squared from orbit of 16 to 9 is at most 0.9375000000026696. \n",
"distance squared from orbit of 16 to 9 will be revised since for 16 5 9: 0.33333333333743037+0.5000000000001434<0.9375000000026696\n",
"revised distance squared from orbit of 16 to 9 is at most 0.9375000000026696. \n",
"distance squared from orbit of 16 to 9 will be revised since for 16 8 9: 0.5000000000002398+0.25000000000004585<0.9375000000026696\n",
"revised distance squared from orbit of 16 to 9 is at most 0.9375000000026696. \n",
"distance squared from orbit of 16 to 9 will be revised since for 16 12 9: 0.6000000000064633+0.2500000000000293<0.9375000000026696\n",
"revised distance squared from orbit of 16 to 9 is at most 0.9375000000026696. \n",
"distance squared from orbit of 16 to 10 will be revised since for 16 3 10: 0.5000000000000384+0.39421966419748256<0.9239074288061877\n",
"revised distance squared from orbit of 16 to 10 is at most 0.9239074288061877. \n",
"distance squared from orbit of 16 to 10 will be revised since for 16 4 10: 0.8888888888890311+5.234815624435434e-12<0.9239074288061877\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 16 to 10 is at most 0.9239074288061877. \n",
"distance squared from orbit of 16 to 10 will be revised since for 16 5 10: 0.33333333333743037+0.46078601053001045<0.9239074288061877\n",
"revised distance squared from orbit of 16 to 10 is at most 0.9239074288061877. \n",
"distance squared from orbit of 16 to 10 will be revised since for 16 8 10: 0.5000000000002398+0.39421966414260984<0.9239074288061877\n",
"revised distance squared from orbit of 16 to 10 is at most 0.9239074288061877. \n",
"distance squared from orbit of 16 to 10 will be revised since for 16 11 10: 0.375000510093986+0.460784766899273<0.9239074288061877\n",
"revised distance squared from orbit of 16 to 10 is at most 0.9239074288061877. \n",
"distance squared from orbit of 16 to 11 will be revised since for 16 5 11: 0.33333333333743037+0.0001315547549988315<0.375000510093986\n",
"revised distance squared from orbit of 16 to 11 is at most 0.375000510093986. \n",
"distance squared from orbit of 16 to 13 will be revised since for 16 5 13: 0.33333333333743037+0.16666726670568827<0.6666666666691661\n",
"revised distance squared from orbit of 16 to 13 is at most 0.6666666666691661. \n",
"distance squared from orbit of 16 to 13 will be revised since for 16 11 13: 0.375000510093986+0.16666679187421402<0.6666666666691661\n",
"revised distance squared from orbit of 16 to 13 is at most 0.6666666666691661. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 3 14: 0.5000000000000384+2.4616826769190398e-5<0.5529582073577366\n",
"revised distance squared from orbit of 16 to 14 is at most 0.5529582073577366. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 7 14: 0.5000001118341932+1.4710941048008673e-5<0.5529582073577366\n",
"revised distance squared from orbit of 16 to 14 is at most 0.5529582073577366. \n",
"distance squared from orbit of 16 to 14 will be revised since for 16 8 14: 0.5000000000002398+2.7021844120461495e-5<0.5529582073577366\n",
"revised distance squared from orbit of 16 to 14 is at most 0.5529582073577366. \n",
"distance squared from orbit of 16 to 15 will be revised since for 16 26 15: 0.14285720517019726+0.33333333333655313<0.5660880769416338\n",
"revised distance squared from orbit of 16 to 15 is at most 0.5660880769416338. \n",
"distance squared from orbit of 16 to 17 will be revised since for 16 22 17: 6.371313431564292e-7+0.3333333333334784<0.3333342639670397\n",
"revised distance squared from orbit of 16 to 17 is at most 0.333333468643318. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 2 18: 0.6000000000012072+7.061251228349591e-7<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 3 18: 0.5000000000000384+6.045534248864916e-7<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 5 18: 0.33333333333743037+1.8503968767362432e-6<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 6 18: 0.6666668682281917+2.1870722712205967e-7<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 7 18: 0.5000001118341932+0.010592570464317544<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 8 18: 0.5000000000002398+6.06350248588218e-7<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 11 18: 0.375000510093986+3.1807084935053145e-7<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 12 18: 0.6000000000064633+9.84594644457221e-7<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 13 18: 0.6666666666691661+6.70577031519286e-7<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 18 will be revised since for 16 14 18: 0.5529582073577366+8.589828039503053e-7<0.7142857142865391\n",
"revised distance squared from orbit of 16 to 18 is at most 0.7142857142865391. \n",
"distance squared from orbit of 16 to 20 will be revised since for 16 5 20: 0.33333333333743037+1.168420505571088e-6<0.3333353667438409\n",
"revised distance squared from orbit of 16 to 20 is at most 0.3333353667438409. \n",
"distance squared from orbit of 16 to 20 will be revised since for 16 22 20: 6.371313431564292e-7+0.33333336731801805<0.3333353667438409\n",
"revised distance squared from orbit of 16 to 20 is at most 0.3333334666625278. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 5 21: 0.33333333333743037+0.4000009674265151<0.8540207561978264\n",
"revised distance squared from orbit of 16 to 21 is at most 0.8540207561978264. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 11 21: 0.375000510093986+0.4000000108851653<0.8540207561978264\n",
"revised distance squared from orbit of 16 to 21 is at most 0.8540207561978264. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 15 21: 0.5660880769416338+0.20000000000006235<0.8540207561978264\n",
"revised distance squared from orbit of 16 to 21 is at most 0.8540207561978264. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 17 21: 0.333333468643318+0.40000050723038166<0.8540207561978264\n",
"revised distance squared from orbit of 16 to 21 is at most 0.8540207561978264. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 19 21: 0.40970296308438264+0.40000005246270715<0.8540207561978264\n",
"revised distance squared from orbit of 16 to 21 is at most 0.8540207561978264. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 20 21: 0.3333334666625278+0.4000000177020901<0.8540207561978264\n",
"revised distance squared from orbit of 16 to 21 is at most 0.8540207561978264. \n",
"distance squared from orbit of 16 to 21 will be revised since for 16 26 21: 0.14285720517019726+0.7000000000042998<0.8540207561978264\n",
"revised distance squared from orbit of 16 to 21 is at most 0.8540207561978264. \n",
"distance squared from orbit of 16 to 23 will be revised since for 16 5 23: 0.33333333333743037+0.16666745478470435<0.6666666666668132\n",
"revised distance squared from orbit of 16 to 23 is at most 0.6666666666668132. \n",
"distance squared from orbit of 16 to 23 will be revised since for 16 11 23: 0.375000510093986+0.16666675155217792<0.6666666666668132\n",
"revised distance squared from orbit of 16 to 23 is at most 0.6666666666668132. \n",
"distance squared from orbit of 16 to 23 will be revised since for 16 17 23: 0.333333468643318+0.16666729282721915<0.6666666666668132\n",
"revised distance squared from orbit of 16 to 23 is at most 0.6666666666668132. \n",
"distance squared from orbit of 16 to 23 will be revised since for 16 19 23: 0.40970296308438264+0.1666667237341603<0.6666666666668132\n",
"revised distance squared from orbit of 16 to 23 is at most 0.6666666666668132. \n",
"distance squared from orbit of 16 to 23 will be revised since for 16 20 23: 0.3333334666625278+0.16666669472601414<0.6666666666668132\n",
"revised distance squared from orbit of 16 to 23 is at most 0.6666666666668132. \n",
"distance squared from orbit of 16 to 24 will be revised since for 16 26 24: 0.14285720517019726+0.2000000000043958<0.39726443732950906\n",
"revised distance squared from orbit of 16 to 24 is at most 0.39726443732950906. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 3 25: 0.5000000000000384+1.4239090463950962e-6<0.500007812163765\n",
"revised distance squared from orbit of 16 to 25 is at most 0.500007812163765. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 5 25: 0.33333333333743037+1.1717577263504741e-5<0.500007812163765\n",
"revised distance squared from orbit of 16 to 25 is at most 0.500007812163765. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 7 25: 0.5000001118341932+3.161600266375427e-6<0.500007812163765\n",
"revised distance squared from orbit of 16 to 25 is at most 0.500007812163765. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 8 25: 0.5000000000002398+2.953228993195046e-7<0.500007812163765\n",
"revised distance squared from orbit of 16 to 25 is at most 0.500007812163765. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 11 25: 0.375000510093986+2.3583944455157915e-8<0.500007812163765\n",
"revised distance squared from orbit of 16 to 25 is at most 0.500007812163765. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 17 25: 0.333333468643318+1.7858696746781515e-6<0.500007812163765\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 16 to 25 is at most 0.500007812163765. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 19 25: 0.40970296308438264+4.431671039716268e-7<0.500007812163765\n",
"revised distance squared from orbit of 16 to 25 is at most 0.500007812163765. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 20 25: 0.3333334666625278+3.613705994822693e-7<0.500007812163765\n",
"revised distance squared from orbit of 16 to 25 is at most 0.500007812163765. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 22 25: 6.371313431564292e-7+0.5000031929900258<0.500007812163765\n",
"revised distance squared from orbit of 16 to 25 is at most 0.5000040097229032. \n",
"distance squared from orbit of 16 to 25 will be revised since for 16 27 25: 3.1819785362965833e-6+0.5000000000000377<0.5000040097229032\n",
"revised distance squared from orbit of 16 to 25 is at most 0.5000008963508851. \n",
"distance squared from orbit of 16 to 27 will be revised since for 16 22 27: 6.371313431564292e-7+1.5291924275042733e-6<3.1819785362965833e-6\n",
"revised distance squared from orbit of 16 to 27 is at most 2.321057655045171e-6. \n",
"\n",
"distance squared from orbit of 17 to 2 will be revised since for 17 11 2: 0.20833333333342846+0.5000000675766444<0.807549910270205\n",
"revised distance squared from orbit of 17 to 2 is at most 0.807549910270205. \n",
"distance squared from orbit of 17 to 3 will be revised since for 17 11 3: 0.20833333333342846+0.6666668021018932<0.9078048539038761\n",
"revised distance squared from orbit of 17 to 3 is at most 0.9078048539038761. \n",
"distance squared from orbit of 17 to 3 will be revised since for 17 16 3: 0.4000000064121565+0.5000000000000384<0.9078048539038761\n",
"revised distance squared from orbit of 17 to 3 is at most 0.9078048539038761. \n",
"distance squared from orbit of 17 to 9 will be revised since for 17 8 9: 0.5000001822252076+0.25000000000004585<0.7500007170827269\n",
"revised distance squared from orbit of 17 to 9 is at most 0.7500007170827269. \n",
"distance squared from orbit of 17 to 9 will be revised since for 17 23 9: 0.16666729282721915+0.5000000000000189<0.7500007170827269\n",
"revised distance squared from orbit of 17 to 9 is at most 0.7500001662089897. \n",
"distance squared from orbit of 17 to 10 will be revised since for 17 4 10: 0.6666678300960925+5.234815624435434e-12<0.7275542039827162\n",
"revised distance squared from orbit of 17 to 10 is at most 0.7275542039827162. \n",
"distance squared from orbit of 17 to 10 will be revised since for 17 11 10: 0.20833333333342846+0.460784766899273<0.7275542039827162\n",
"revised distance squared from orbit of 17 to 10 is at most 0.7275542039827162. \n",
"distance squared from orbit of 17 to 13 will be revised since for 17 6 13: 0.3333333333335324+0.16666667635466953<0.5833333333335727\n",
"revised distance squared from orbit of 17 to 13 is at most 0.5833333333335727. \n",
"distance squared from orbit of 17 to 13 will be revised since for 17 11 13: 0.20833333333342846+0.16666679187421402<0.5833333333335727\n",
"revised distance squared from orbit of 17 to 13 is at most 0.5833333333335727. \n",
"distance squared from orbit of 17 to 13 will be revised since for 17 14 13: 0.35358904945503555+0.16666670501096717<0.5833333333335727\n",
"revised distance squared from orbit of 17 to 13 is at most 0.5833333333335727. \n",
"distance squared from orbit of 17 to 15 will be revised since for 17 19 15: 0.14286252357548077+0.3334064953056072<0.5833362809999534\n",
"revised distance squared from orbit of 17 to 15 is at most 0.5833362809999534. \n",
"distance squared from orbit of 17 to 15 will be revised since for 17 22 15: 9.750836732961828e-7+0.5833342617999137<0.5833362809999534\n",
"revised distance squared from orbit of 17 to 15 is at most 0.583334296429927. \n",
"distance squared from orbit of 17 to 15 will be revised since for 17 23 15: 0.16666729282721915+0.333333333536027<0.583334296429927\n",
"revised distance squared from orbit of 17 to 15 is at most 0.5833334061252144. \n",
"distance squared from orbit of 17 to 15 will be revised since for 17 26 15: 0.1428573840705767+0.33333333333655313<0.5833334061252144\n",
"revised distance squared from orbit of 17 to 15 is at most 0.5833334029735991. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 6 18: 0.3333333333335324+2.1870722712205967e-7<0.41666666666687474\n",
"revised distance squared from orbit of 17 to 18 is at most 0.41666666666687474. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 11 18: 0.20833333333342846+3.1807084935053145e-7<0.41666666666687474\n",
"revised distance squared from orbit of 17 to 18 is at most 0.41666666666687474. \n",
"distance squared from orbit of 17 to 18 will be revised since for 17 14 18: 0.35358904945503555+8.589828039503053e-7<0.41666666666687474\n",
"revised distance squared from orbit of 17 to 18 is at most 0.41666666666687474. \n",
"distance squared from orbit of 17 to 21 will be revised since for 17 23 21: 0.16666729282721915+0.20000000000001478<0.40000050723038166\n",
"revised distance squared from orbit of 17 to 21 is at most 0.4000002160437883. \n",
"distance squared from orbit of 17 to 24 will be revised since for 17 19 24: 0.14286252357548077+0.20003145517115023<0.4000000738446258\n",
"revised distance squared from orbit of 17 to 24 is at most 0.4000000738446258. \n",
"distance squared from orbit of 17 to 24 will be revised since for 17 23 24: 0.16666729282721915+0.20000000010320002<0.4000000738446258\n",
"revised distance squared from orbit of 17 to 24 is at most 0.4000000738446258. \n",
"distance squared from orbit of 17 to 24 will be revised since for 17 26 24: 0.1428573840705767+0.2000000000043958<0.4000000738446258\n",
"revised distance squared from orbit of 17 to 24 is at most 0.4000000712507751. \n",
"\n",
"distance squared from orbit of 18 to 1 will be revised since for 18 12 1: 0.40000000000013763+0.5000000000000222<0.9656654756058254\n",
"revised distance squared from orbit of 18 to 1 is at most 0.9656654756058254. \n",
"distance squared from orbit of 18 to 1 will be revised since for 18 13 1: 0.16666666666682453+0.6666666666668133<0.9656654756058254\n",
"revised distance squared from orbit of 18 to 1 is at most 0.9656654756058254. \n",
"distance squared from orbit of 18 to 7 will be revised since for 18 2 7: 0.5000000000001644+1.3363366098697689e-5<0.6054643041586888\n",
"revised distance squared from orbit of 18 to 7 is at most 0.6054643041586888. \n",
"distance squared from orbit of 18 to 8 will be revised since for 18 25 8: 2.2542424581964638e-8+0.5000000001644399<0.5000009538810276\n",
"revised distance squared from orbit of 18 to 8 is at most 0.5000009538810276. \n",
"distance squared from orbit of 18 to 9 will be revised since for 18 12 9: 0.40000000000013763+0.2500000000000293<0.7268408058052478\n",
"revised distance squared from orbit of 18 to 9 is at most 0.7268408058052478. \n",
"distance squared from orbit of 18 to 9 will be revised since for 18 13 9: 0.16666666666682453+0.5000000000001109<0.7268408058052478\n",
"revised distance squared from orbit of 18 to 9 is at most 0.7268408058052478. \n",
"distance squared from orbit of 18 to 9 will be revised since for 18 23 9: 0.16666666960961546+0.5000000000000189<0.7268408058052478\n",
"revised distance squared from orbit of 18 to 9 is at most 0.7268408058052478. \n",
"distance squared from orbit of 18 to 15 will be revised since for 18 19 15: 0.142871239099267+0.3334064953056072<0.500000000000154\n",
"revised distance squared from orbit of 18 to 15 is at most 0.500000000000154. \n",
"distance squared from orbit of 18 to 15 will be revised since for 18 26 15: 0.14285847807506027+0.33333333333655313<0.500000000000154\n",
"revised distance squared from orbit of 18 to 15 is at most 0.500000000000154. \n",
"distance squared from orbit of 18 to 16 will be revised since for 18 6 16: 0.3333333333333851+0.400014388943892<0.800000000007334\n",
"revised distance squared from orbit of 18 to 16 is at most 0.800000000007334. \n",
"distance squared from orbit of 18 to 16 will be revised since for 18 11 16: 0.3333333333334648+0.4000000832701194<0.800000000007334\n",
"revised distance squared from orbit of 18 to 16 is at most 0.800000000007334. \n",
"distance squared from orbit of 18 to 16 will be revised since for 18 17 16: 0.32607687371707106+0.4000000064121565<0.800000000007334\n",
"revised distance squared from orbit of 18 to 16 is at most 0.800000000007334. \n",
"distance squared from orbit of 18 to 19 will be revised since for 18 20 19: 1.1327787210726066e-5+0.14285714285737597<0.142871239099267\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 18 to 19 is at most 0.142860280597937. \n",
"distance squared from orbit of 18 to 21 will be revised since for 18 13 21: 0.16666666666682453+0.20000000147282754<0.4000000011321646\n",
"revised distance squared from orbit of 18 to 21 is at most 0.4000000011321646. \n",
"distance squared from orbit of 18 to 21 will be revised since for 18 23 21: 0.16666666960961546+0.20000000000001478<0.4000000011321646\n",
"revised distance squared from orbit of 18 to 21 is at most 0.4000000006617907. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 6 22: 0.3333333333333851+5.8062241766333415e-5<0.500000000000104\n",
"revised distance squared from orbit of 18 to 22 is at most 0.500000000000104. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 11 22: 0.3333333333334648+1.235564730351733e-5<0.500000000000104\n",
"revised distance squared from orbit of 18 to 22 is at most 0.500000000000104. \n",
"distance squared from orbit of 18 to 22 will be revised since for 18 17 22: 0.32607687371707106+9.750836732961828e-7<0.500000000000104\n",
"revised distance squared from orbit of 18 to 22 is at most 0.500000000000104. \n",
"distance squared from orbit of 18 to 24 will be revised since for 18 13 24: 0.16666666666682453+0.20000008120173104<0.4000012916451674\n",
"revised distance squared from orbit of 18 to 24 is at most 0.4000000659150651. \n",
"distance squared from orbit of 18 to 24 will be revised since for 18 19 24: 0.142860280597937+0.20003145517115023<0.4000000659150651\n",
"revised distance squared from orbit of 18 to 24 is at most 0.4000000659150651. \n",
"distance squared from orbit of 18 to 24 will be revised since for 18 21 24: 0.4000000006617907+1.8704434396067724e-9<0.4000000659150651\n",
"revised distance squared from orbit of 18 to 24 is at most 0.4000000659150651. \n",
"distance squared from orbit of 18 to 24 will be revised since for 18 23 24: 0.16666666960961546+0.20000000010320002<0.4000000659150651\n",
"revised distance squared from orbit of 18 to 24 is at most 0.4000000659150651. \n",
"distance squared from orbit of 18 to 24 will be revised since for 18 25 24: 2.2542424581964638e-8+0.40000000013698894<0.4000000659150651\n",
"revised distance squared from orbit of 18 to 24 is at most 0.4000000659150651. \n",
"distance squared from orbit of 18 to 24 will be revised since for 18 26 24: 0.14285847807506027+0.2000000000043958<0.4000000659150651\n",
"revised distance squared from orbit of 18 to 24 is at most 0.4000000659150651. \n",
"distance squared from orbit of 18 to 26 will be revised since for 18 25 26: 2.2542424581964638e-8+0.14285717914878926<0.14285847807506027\n",
"revised distance squared from orbit of 18 to 26 is at most 0.14285719620168952. \n",
"distance squared from orbit of 18 to 27 will be revised since for 18 25 27: 2.2542424581964638e-8+4.14283971197918e-8<1.6852438882707318e-6\n",
"revised distance squared from orbit of 18 to 27 is at most 4.109011660725096e-8. \n",
"\n",
"distance squared from orbit of 19 to 1 will be revised since for 19 12 1: 0.40000000327445356+0.5000000000000222<0.9656654787732917\n",
"revised distance squared from orbit of 19 to 1 is at most 0.9656654787732917. \n",
"distance squared from orbit of 19 to 2 will be revised since for 19 14 2: 0.2500000000000806+0.5000000308592726<0.7692257052321999\n",
"revised distance squared from orbit of 19 to 2 is at most 0.7692257052321999. \n",
"distance squared from orbit of 19 to 3 will be revised since for 19 14 3: 0.2500000000000806+0.6666666666667155<0.945712162295899\n",
"revised distance squared from orbit of 19 to 3 is at most 0.945712162295899. \n",
"distance squared from orbit of 19 to 9 will be revised since for 19 8 9: 0.4865189739360442+0.25000000000004585<0.7500000000001447\n",
"revised distance squared from orbit of 19 to 9 is at most 0.7500000000001447. \n",
"distance squared from orbit of 19 to 9 will be revised since for 19 12 9: 0.40000000327445356+0.2500000000000293<0.7500000000001447\n",
"revised distance squared from orbit of 19 to 9 is at most 0.7500000000001447. \n",
"distance squared from orbit of 19 to 9 will be revised since for 19 23 9: 0.1666667237341603+0.5000000000000189<0.7500000000001447\n",
"revised distance squared from orbit of 19 to 9 is at most 0.7500000000001447. \n",
"distance squared from orbit of 19 to 10 will be revised since for 19 4 10: 0.6666667671993534+5.234815624435434e-12<0.7275530212949703\n",
"revised distance squared from orbit of 19 to 10 is at most 0.7275530212949703. \n",
"distance squared from orbit of 19 to 10 will be revised since for 19 14 10: 0.2500000000000806+0.4607847497730677<0.7275530212949703\n",
"revised distance squared from orbit of 19 to 10 is at most 0.7275530212949703. \n",
"distance squared from orbit of 19 to 11 will be revised since for 19 20 11: 7.246916594675523e-7+0.45873412263480484<0.4587352502309134\n",
"revised distance squared from orbit of 19 to 11 is at most 0.4587342940275721. \n",
"distance squared from orbit of 19 to 13 will be revised since for 19 12 13: 0.40000000327445356+0.16666685980954538<0.6145184472614486\n",
"revised distance squared from orbit of 19 to 13 is at most 0.6145184472614486. \n",
"distance squared from orbit of 19 to 13 will be revised since for 19 14 13: 0.2500000000000806+0.16666670501096717<0.6145184472614486\n",
"revised distance squared from orbit of 19 to 13 is at most 0.6145184472614486. \n",
"distance squared from orbit of 19 to 15 will be revised since for 19 26 15: 3.769987491983651e-7+0.33333333333655313<0.3334064953056072\n",
"revised distance squared from orbit of 19 to 15 is at most 0.3333353416068786. \n",
"distance squared from orbit of 19 to 16 will be revised since for 19 11 16: 0.4587342940275721+0.4000000832701194<0.8750040127330613\n",
"revised distance squared from orbit of 19 to 16 is at most 0.8750040127330613. \n",
"distance squared from orbit of 19 to 16 will be revised since for 19 17 16: 0.4149981207879089+0.4000000064121565<0.8750040127330613\n",
"revised distance squared from orbit of 19 to 16 is at most 0.8750040127330613. \n",
"distance squared from orbit of 19 to 16 will be revised since for 19 20 16: 7.246916594675523e-7+0.8748399336009769<0.8750040127330613\n",
"revised distance squared from orbit of 19 to 16 is at most 0.8748399506478317. \n",
"distance squared from orbit of 19 to 17 will be revised since for 19 20 17: 7.246916594675523e-7+0.414997287835605<0.4149981207879089\n",
"revised distance squared from orbit of 19 to 17 is at most 0.41499738627117067. \n",
"distance squared from orbit of 19 to 18 will be revised since for 19 8 18: 0.4865189739360442+6.06350248588218e-7<0.5000007083702281\n",
"revised distance squared from orbit of 19 to 18 is at most 0.5000007083702281. \n",
"distance squared from orbit of 19 to 18 will be revised since for 19 11 18: 0.4587342940275721+3.1807084935053145e-7<0.5000007083702281\n",
"revised distance squared from orbit of 19 to 18 is at most 0.5000007083702281. \n",
"distance squared from orbit of 19 to 18 will be revised since for 19 12 18: 0.40000000327445356+9.84594644457221e-7<0.5000007083702281\n",
"revised distance squared from orbit of 19 to 18 is at most 0.5000007083702281. \n",
"distance squared from orbit of 19 to 18 will be revised since for 19 14 18: 0.2500000000000806+8.589828039503053e-7<0.5000007083702281\n",
"revised distance squared from orbit of 19 to 18 is at most 0.5000007083702281. \n",
"distance squared from orbit of 19 to 18 will be revised since for 19 25 18: 4.431671039716268e-7+0.5000000000000911<0.5000007083702281\n",
"revised distance squared from orbit of 19 to 18 is at most 0.5000001516268214. \n",
"distance squared from orbit of 19 to 21 will be revised since for 19 23 21: 0.1666667237341603+0.20000000000001478<0.40000005246270715\n",
"revised distance squared from orbit of 19 to 21 is at most 0.40000001376112604. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 6 22: 0.5000006275276936+5.8062241766333415e-5<0.6752413585987581\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752413585987581. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 7 22: 0.6611185183610793+4.0395610234185855e-7<0.6752413585987581\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752413585987581. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 11 22: 0.4587342940275721+1.235564730351733e-5<0.6752413585987581\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752413585987581. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 17 22: 0.41499738627117067+9.750836732961828e-7<0.6752413585987581\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 19 to 22 is at most 0.6752413585987581. \n",
"distance squared from orbit of 19 to 22 will be revised since for 19 20 22: 7.246916594675523e-7+0.6752404735809641<0.6752413585987581\n",
"revised distance squared from orbit of 19 to 22 is at most 0.6752405342491549. \n",
"distance squared from orbit of 19 to 24 will be revised since for 19 26 24: 3.769987491983651e-7+0.2000000000043958<0.20003145517115023\n",
"revised distance squared from orbit of 19 to 24 is at most 0.2000042811163801. \n",
"distance squared from orbit of 19 to 27 will be revised since for 19 20 27: 7.246916594675523e-7+2.8689681112330136e-8<1.9008265974862912e-6\n",
"revised distance squared from orbit of 19 to 27 is at most 1.3746435994308026e-7. \n",
"\n",
"distance squared from orbit of 20 to 2 will be revised since for 20 14 2: 0.3588307783100731+0.5000000308592726<0.8964466094068897\n",
"revised distance squared from orbit of 20 to 2 is at most 0.8964466094068897. \n",
"distance squared from orbit of 20 to 8 will be revised since for 20 27 8: 2.8689681112330136e-8+0.5000000000000453<0.5000003508622973\n",
"revised distance squared from orbit of 20 to 8 is at most 0.500000009923328. \n",
"distance squared from orbit of 20 to 9 will be revised since for 20 8 9: 0.500000009923328+0.25000000000004585<0.7500000491079883\n",
"revised distance squared from orbit of 20 to 9 is at most 0.7500000491079883. \n",
"distance squared from orbit of 20 to 9 will be revised since for 20 12 9: 0.5000000399376234+0.2500000000000293<0.7500000491079883\n",
"revised distance squared from orbit of 20 to 9 is at most 0.750000019768772. \n",
"distance squared from orbit of 20 to 9 will be revised since for 20 23 9: 0.16666669472601414+0.5000000000000189<0.750000019768772\n",
"revised distance squared from orbit of 20 to 9 is at most 0.7500000078251314. \n",
"distance squared from orbit of 20 to 10 will be revised since for 20 4 10: 0.6666667014110746+5.234815624435434e-12<0.7275530567425718\n",
"revised distance squared from orbit of 20 to 10 is at most 0.7275530567425718. \n",
"distance squared from orbit of 20 to 13 will be revised since for 20 14 13: 0.3588307783100731+0.16666670501096717<0.6145184180835792\n",
"revised distance squared from orbit of 20 to 13 is at most 0.6145184180835792. \n",
"distance squared from orbit of 20 to 15 will be revised since for 20 19 15: 0.14285714285737597+0.3333353416068786<0.5833333837915388\n",
"revised distance squared from orbit of 20 to 15 is at most 0.5833333837915388. \n",
"distance squared from orbit of 20 to 15 will be revised since for 20 23 15: 0.16666669472601414+0.333333333536027<0.5833333837915388\n",
"revised distance squared from orbit of 20 to 15 is at most 0.5833333837915388. \n",
"distance squared from orbit of 20 to 15 will be revised since for 20 26 15: 0.1428571508483234+0.33333333333655313<0.5833333837915388\n",
"revised distance squared from orbit of 20 to 15 is at most 0.5833333837915388. \n",
"distance squared from orbit of 20 to 15 will be revised since for 20 27 15: 2.8689681112330136e-8+0.5833333333333404<0.5833333837915388\n",
"revised distance squared from orbit of 20 to 15 is at most 0.5833333502822303. \n",
"distance squared from orbit of 20 to 16 will be revised since for 20 11 16: 0.45873412263480484+0.4000000832701194<0.8748399336009769\n",
"revised distance squared from orbit of 20 to 16 is at most 0.8748399336009769. \n",
"distance squared from orbit of 20 to 16 will be revised since for 20 17 16: 0.414997287835605+0.4000000064121565<0.8748399336009769\n",
"revised distance squared from orbit of 20 to 16 is at most 0.8748399336009769. \n",
"distance squared from orbit of 20 to 18 will be revised since for 20 11 18: 0.45873412263480484+3.1807084935053145e-7<0.500000031662764\n",
"revised distance squared from orbit of 20 to 18 is at most 0.500000031662764. \n",
"distance squared from orbit of 20 to 18 will be revised since for 20 14 18: 0.3588307783100731+8.589828039503053e-7<0.500000031662764\n",
"revised distance squared from orbit of 20 to 18 is at most 0.500000031662764. \n",
"distance squared from orbit of 20 to 21 will be revised since for 20 23 21: 0.16666669472601414+0.20000000000001478<0.4000000177020901\n",
"revised distance squared from orbit of 20 to 21 is at most 0.40000000896464255. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 6 22: 0.5000000000001285+5.8062241766333415e-5<0.6752404735809641\n",
"revised distance squared from orbit of 20 to 22 is at most 0.6752404735809641. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 11 22: 0.45873412263480484+1.235564730351733e-5<0.6752404735809641\n",
"revised distance squared from orbit of 20 to 22 is at most 0.6752404735809641. \n",
"distance squared from orbit of 20 to 22 will be revised since for 20 17 22: 0.414997287835605+9.750836732961828e-7<0.6752404735809641\n",
"revised distance squared from orbit of 20 to 22 is at most 0.6752404735809641. \n",
"distance squared from orbit of 20 to 24 will be revised since for 20 19 24: 0.14285714285737597+0.2000042811163801<0.4000000057795004\n",
"revised distance squared from orbit of 20 to 24 is at most 0.4000000057795004. \n",
"distance squared from orbit of 20 to 24 will be revised since for 20 23 24: 0.16666669472601414+0.20000000010320002<0.4000000057795004\n",
"revised distance squared from orbit of 20 to 24 is at most 0.4000000057795004. \n",
"distance squared from orbit of 20 to 24 will be revised since for 20 26 24: 0.1428571508483234+0.2000000000043958<0.4000000057795004\n",
"revised distance squared from orbit of 20 to 24 is at most 0.4000000057795004. \n",
"\n",
"distance squared from orbit of 21 to 1 will be revised since for 21 12 1: 0.5000000000000336+0.5000000000000222<1.0000000000001856\n",
"revised distance squared from orbit of 21 to 1 is at most 1.0000000000001856. \n",
"distance squared from orbit of 21 to 3 will be revised since for 21 15 3: 0.3333333333768747+0.6473671297244358<1.0000000000017923\n",
"revised distance squared from orbit of 21 to 3 is at most 1.0000000000017923. \n",
"distance squared from orbit of 21 to 6 will be revised since for 21 25 6: 4.359523553186725e-7+0.666666666666706<0.6666673548460059\n",
"revised distance squared from orbit of 21 to 6 is at most 0.666666759470491. \n",
"distance squared from orbit of 21 to 7 will be revised since for 21 15 7: 0.3333333333768747+0.6606500560504187<1.0000000000057092\n",
"revised distance squared from orbit of 21 to 7 is at most 1.0000000000057092. \n",
"distance squared from orbit of 21 to 7 will be revised since for 21 19 7: 0.33333662169357375+0.6611185183610793<1.0000000000057092\n",
"revised distance squared from orbit of 21 to 7 is at most 1.0000000000057092. \n",
"distance squared from orbit of 21 to 10 will be revised since for 21 4 10: 0.6666666666671912+5.234815624435434e-12<0.666666667410122\n",
"revised distance squared from orbit of 21 to 10 is at most 0.666666667410122. \n",
"distance squared from orbit of 21 to 11 will be revised since for 21 24 11: 1.8704434396067724e-9+0.5000004032008448<0.5000253421980629\n",
"revised distance squared from orbit of 21 to 11 is at most 0.5000003946925087. \n",
"distance squared from orbit of 21 to 14 will be revised since for 21 26 14: 2.205820617031517e-6+0.5000000000000738<0.5000060962986014\n",
"revised distance squared from orbit of 21 to 14 is at most 0.5000003536071089. \n",
"distance squared from orbit of 21 to 17 will be revised since for 21 11 17: 0.5000003946925087+1.1476213308831052e-6<0.6458343620704624\n",
"revised distance squared from orbit of 21 to 17 is at most 0.6458343620704624. \n",
"distance squared from orbit of 21 to 17 will be revised since for 21 25 17: 4.359523553186725e-7+0.6458333333335508<0.6458343620704624\n",
"revised distance squared from orbit of 21 to 17 is at most 0.6458334774782098. \n",
"distance squared from orbit of 21 to 18 will be revised since for 21 25 18: 4.359523553186725e-7+0.5000000000000911<0.5000005847152946\n",
"revised distance squared from orbit of 21 to 18 is at most 0.5000000584926472. \n",
"distance squared from orbit of 21 to 19 will be revised since for 21 26 19: 2.205820617031517e-6+0.3333333333333942<0.33333662169357375\n",
"revised distance squared from orbit of 21 to 19 is at most 0.333333811054428. \n",
"distance squared from orbit of 21 to 20 will be revised since for 21 15 20: 0.3333333333768747+6.453630671211461e-7<0.3333583232646791\n",
"revised distance squared from orbit of 21 to 20 is at most 0.3333583232646791. \n",
"distance squared from orbit of 21 to 20 will be revised since for 21 19 20: 0.333333811054428+7.246916594675523e-7<0.3333583232646791\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 21 to 20 is at most 0.3333583232646791. \n",
"distance squared from orbit of 21 to 20 will be revised since for 21 24 20: 1.8704434396067724e-9+0.3333340747217656<0.3333583232646791\n",
"revised distance squared from orbit of 21 to 20 is at most 0.3333340746301301. \n",
"distance squared from orbit of 21 to 20 will be revised since for 21 25 20: 4.359523553186725e-7+0.333333345609604<0.3333340746301301\n",
"revised distance squared from orbit of 21 to 20 is at most 0.3333340746301301. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 6 22: 0.666666759470491+5.8062241766333415e-5<0.8750194604774518\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750194604774518. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 11 22: 0.5000003946925087+1.235564730351733e-5<0.8750194604774518\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750194604774518. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 16 22: 0.8750000000050625+6.371313431564292e-7<0.8750194604774518\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750194604774518. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 17 22: 0.6458334774782098+9.750836732961828e-7<0.8750194604774518\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750194604774518. \n",
"distance squared from orbit of 21 to 22 will be revised since for 21 24 22: 1.8704434396067724e-9+0.8750003744244457<0.8750194604774518\n",
"revised distance squared from orbit of 21 to 22 is at most 0.8750003471208884. \n",
"distance squared from orbit of 21 to 27 will be revised since for 21 24 27: 1.8704434396067724e-9+6.757875266745599e-7<2.1942272863579636e-5\n",
"revised distance squared from orbit of 21 to 27 is at most 6.504275927939305e-7. \n",
"distance squared from orbit of 21 to 27 will be revised since for 21 25 27: 4.359523553186725e-7+4.14283971197918e-8<6.504275927939305e-7\n",
"revised distance squared from orbit of 21 to 27 is at most 6.504275927939305e-7. \n",
"\n",
"distance squared from orbit of 22 to 2 will be revised since for 22 5 2: 0.5000000000000431+0.4000000000002914<0.919058356455122\n",
"revised distance squared from orbit of 22 to 2 is at most 0.919058356455122. \n",
"distance squared from orbit of 22 to 2 will be revised since for 22 11 2: 0.3750000000000357+0.5000000675766444<0.919058356455122\n",
"revised distance squared from orbit of 22 to 2 is at most 0.919058356455122. \n",
"distance squared from orbit of 22 to 3 will be revised since for 22 16 3: 0.4000000000000854+0.5000000000000384<0.9490377182733583\n",
"revised distance squared from orbit of 22 to 3 is at most 0.9490377182733583. \n",
"distance squared from orbit of 22 to 4 will be revised since for 22 8 4: 0.5000002076439427+0.33333333333335075<0.9166714017293709\n",
"revised distance squared from orbit of 22 to 4 is at most 0.9166714017293709. \n",
"distance squared from orbit of 22 to 4 will be revised since for 22 27 4: 1.5291924275042733e-6+0.9166666666667459<0.9166714017293709\n",
"revised distance squared from orbit of 22 to 4 is at most 0.9166668901370033. \n",
"distance squared from orbit of 22 to 6 will be revised since for 22 11 6: 0.3750000000000357+0.16666666666674113<0.6666666666667657\n",
"revised distance squared from orbit of 22 to 6 is at most 0.6666666666667657. \n",
"distance squared from orbit of 22 to 9 will be revised since for 22 8 9: 0.5000002076439427+0.25000000000004585<0.9500028595056531\n",
"revised distance squared from orbit of 22 to 9 is at most 0.9500028595056531. \n",
"distance squared from orbit of 22 to 9 will be revised since for 22 12 9: 0.600001057508305+0.2500000000000293<0.9500028595056531\n",
"revised distance squared from orbit of 22 to 9 is at most 0.9500028595056531. \n",
"distance squared from orbit of 22 to 9 will be revised since for 22 27 9: 1.5291924275042733e-6+0.9500000000062987<0.9500028595056531\n",
"revised distance squared from orbit of 22 to 9 is at most 0.9500001576188514. \n",
"distance squared from orbit of 22 to 10 will be revised since for 22 4 10: 0.9166668901370033+5.234815624435434e-12<0.9494792373860058\n",
"revised distance squared from orbit of 22 to 10 is at most 0.9494792373860058. \n",
"distance squared from orbit of 22 to 10 will be revised since for 22 8 10: 0.5000002076439427+0.39421966414260984<0.9494792373860058\n",
"revised distance squared from orbit of 22 to 10 is at most 0.9494792373860058. \n",
"distance squared from orbit of 22 to 10 will be revised since for 22 11 10: 0.3750000000000357+0.460784766899273<0.9494792373860058\n",
"revised distance squared from orbit of 22 to 10 is at most 0.9494792373860058. \n",
"distance squared from orbit of 22 to 13 will be revised since for 22 11 13: 0.3750000000000357+0.16666679187421402<0.666666666666847\n",
"revised distance squared from orbit of 22 to 13 is at most 0.666666666666847. \n",
"distance squared from orbit of 22 to 14 will be revised since for 22 7 14: 0.5000000000001192+1.4710941048008673e-5<0.578191861043256\n",
"revised distance squared from orbit of 22 to 14 is at most 0.578191861043256. \n",
"distance squared from orbit of 22 to 14 will be revised since for 22 8 14: 0.5000002076439427+2.7021844120461495e-5<0.578191861043256\n",
"revised distance squared from orbit of 22 to 14 is at most 0.578191861043256. \n",
"distance squared from orbit of 22 to 15 will be revised since for 22 26 15: 0.14285815506627544+0.33333333333655313<0.5833342617999137\n",
"revised distance squared from orbit of 22 to 15 is at most 0.5833333730936663. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 5 18: 0.5000000000000431+1.8503968767362432e-6<0.7142857142858835\n",
"revised distance squared from orbit of 22 to 18 is at most 0.7142857142858835. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 6 18: 0.6666666666667657+2.1870722712205967e-7<0.7142857142858835\n",
"revised distance squared from orbit of 22 to 18 is at most 0.7142857142858835. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 7 18: 0.5000000000001192+0.010592570464317544<0.7142857142858835\n",
"revised distance squared from orbit of 22 to 18 is at most 0.7142857142858835. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 8 18: 0.5000002076439427+6.06350248588218e-7<0.7142857142858835\n",
"revised distance squared from orbit of 22 to 18 is at most 0.7142857142858835. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 11 18: 0.3750000000000357+3.1807084935053145e-7<0.7142857142858835\n",
"revised distance squared from orbit of 22 to 18 is at most 0.7142857142858835. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 12 18: 0.600001057508305+9.84594644457221e-7<0.7142857142858835\n",
"revised distance squared from orbit of 22 to 18 is at most 0.7142857142858835. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 13 18: 0.666666666666847+6.70577031519286e-7<0.7142857142858835\n",
"revised distance squared from orbit of 22 to 18 is at most 0.7142857142858835. \n",
"distance squared from orbit of 22 to 18 will be revised since for 22 14 18: 0.578191861043256+8.589828039503053e-7<0.7142857142858835\n",
"revised distance squared from orbit of 22 to 18 is at most 0.7142857142858835. \n",
"distance squared from orbit of 22 to 19 will be revised since for 22 27 19: 1.5291924275042733e-6+0.4359405000379309<0.4359422137872347\n",
"revised distance squared from orbit of 22 to 19 is at most 0.43594064769560137. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 5 21: 0.5000000000000431+0.4000009674265151<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 7 21: 0.5000000000001192+0.4000013943126086<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 8 21: 0.5000002076439427+0.40000000000043157<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 11 21: 0.3750000000000357+0.4000000108851653<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 13 21: 0.666666666666847+0.20000000147282754<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 15 21: 0.5833333730936663+0.20000000000006235<0.9000020348278731\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 17 21: 0.3333333333334784+0.4000002160437883<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 19 21: 0.43594064769560137+0.40000001376112604<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 20 21: 0.33333336731801805+0.40000000896464255<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 23 21: 0.6666666666667036+0.20000000000001478<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000020348278731. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 24 21: 0.40000063830427923+0.5000000000000285<0.9000020348278731\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000001096644247. \n",
"distance squared from orbit of 22 to 21 will be revised since for 22 26 21: 0.14285815506627544+0.7000000000042998<0.9000001096644247\n",
"revised distance squared from orbit of 22 to 21 is at most 0.9000000642547227. \n",
"distance squared from orbit of 22 to 23 will be revised since for 22 11 23: 0.3750000000000357+0.16666675155217792<0.6666666666667036\n",
"revised distance squared from orbit of 22 to 23 is at most 0.6666666666667036. \n",
"distance squared from orbit of 22 to 23 will be revised since for 22 17 23: 0.3333333333334784+0.16666729282721915<0.6666666666667036\n",
"revised distance squared from orbit of 22 to 23 is at most 0.6666666666667036. \n",
"distance squared from orbit of 22 to 23 will be revised since for 22 19 23: 0.43594064769560137+0.1666667237341603<0.6666666666667036\n",
"revised distance squared from orbit of 22 to 23 is at most 0.6666666666667036. \n",
"distance squared from orbit of 22 to 23 will be revised since for 22 20 23: 0.33333336731801805+0.16666669472601414<0.6666666666667036\n",
"revised distance squared from orbit of 22 to 23 is at most 0.6666666666667036. \n",
"distance squared from orbit of 22 to 24 will be revised since for 22 26 24: 0.14285815506627544+0.2000000000043958<0.40000063830427923\n",
"revised distance squared from orbit of 22 to 24 is at most 0.40000006387546827. \n",
"distance squared from orbit of 22 to 25 will be revised since for 22 7 25: 0.5000000000001192+3.161600266375427e-6<0.5000031929900258\n",
"revised distance squared from orbit of 22 to 25 is at most 0.5000031929900258. \n",
"distance squared from orbit of 22 to 25 will be revised since for 22 8 25: 0.5000002076439427+2.953228993195046e-7<0.5000031929900258\n",
"revised distance squared from orbit of 22 to 25 is at most 0.5000031929900258. \n",
"distance squared from orbit of 22 to 25 will be revised since for 22 11 25: 0.3750000000000357+2.3583944455157915e-8<0.5000031929900258\n",
"revised distance squared from orbit of 22 to 25 is at most 0.5000031929900258. \n",
"distance squared from orbit of 22 to 25 will be revised since for 22 17 25: 0.3333333333334784+1.7858696746781515e-6<0.5000031929900258\n",
"revised distance squared from orbit of 22 to 25 is at most 0.5000008468628016. \n",
"distance squared from orbit of 22 to 25 will be revised since for 22 19 25: 0.43594064769560137+4.431671039716268e-7<0.5000008468628016\n",
"revised distance squared from orbit of 22 to 25 is at most 0.5000008468628016. \n",
"distance squared from orbit of 22 to 25 will be revised since for 22 20 25: 0.33333336731801805+3.613705994822693e-7<0.5000008468628016\n",
"revised distance squared from orbit of 22 to 25 is at most 0.5000008468628016. \n",
"\n",
"distance squared from orbit of 23 to 2 will be revised since for 23 12 2: 0.5000000000001849+0.5000000000000526<1.000000000000624\n",
"revised distance squared from orbit of 23 to 2 is at most 1.000000000000624. \n",
"distance squared from orbit of 23 to 3 will be revised since for 23 15 3: 0.333333333536027+0.6473671297244358<1.0000000000018856\n",
"revised distance squared from orbit of 23 to 3 is at most 1.0000000000018856. \n",
"distance squared from orbit of 23 to 7 will be revised since for 23 15 7: 0.333333333536027+0.6606500560504187<1.0000000000040905\n",
"revised distance squared from orbit of 23 to 7 is at most 1.0000000000040905. \n",
"distance squared from orbit of 23 to 7 will be revised since for 23 19 7: 0.3333494352208143+0.6611185183610793<1.0000000000040905\n",
"revised distance squared from orbit of 23 to 7 is at most 1.0000000000040905. \n",
"distance squared from orbit of 23 to 11 will be revised since for 23 25 11: 9.665251415174035e-7+0.5000000190581585<0.500169728151893\n",
"revised distance squared from orbit of 23 to 11 is at most 0.500169728151893. \n",
"distance squared from orbit of 23 to 11 will be revised since for 23 26 11: 1.612706232522123e-5+0.5000006130047416<0.500169728151893\n",
"revised distance squared from orbit of 23 to 11 is at most 0.5000558119600829. \n",
"distance squared from orbit of 23 to 16 will be revised since for 23 25 16: 9.665251415174035e-7+0.8750000235067725<0.8751566662498197\n",
"revised distance squared from orbit of 23 to 16 is at most 0.8751374859437953. \n",
"distance squared from orbit of 23 to 16 will be revised since for 23 26 16: 1.612706232522123e-5+0.8750005265432401<0.8751374859437953\n",
"revised distance squared from orbit of 23 to 16 is at most 0.8750140762835413. \n",
"distance squared from orbit of 23 to 17 will be revised since for 23 11 17: 0.5000558119600829+1.1476213308831052e-6<0.6458341624494645\n",
"revised distance squared from orbit of 23 to 17 is at most 0.6458341624494645. \n",
"distance squared from orbit of 23 to 20 will be revised since for 23 15 20: 0.333333333536027+6.453630671211461e-7<0.33345967112582126\n",
"revised distance squared from orbit of 23 to 20 is at most 0.33345967112582126. \n",
"distance squared from orbit of 23 to 20 will be revised since for 23 19 20: 0.3333494352208143+7.246916594675523e-7<0.33345967112582126\n",
"revised distance squared from orbit of 23 to 20 is at most 0.33345967112582126. \n",
"distance squared from orbit of 23 to 20 will be revised since for 23 25 20: 9.665251415174035e-7+0.333333345609604<0.33345967112582126\n",
"revised distance squared from orbit of 23 to 20 is at most 0.33345967112582126. \n",
"distance squared from orbit of 23 to 20 will be revised since for 23 26 20: 1.612706232522123e-5+0.33333426680742284<0.33345967112582126\n",
"revised distance squared from orbit of 23 to 20 is at most 0.3333469511726687. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 6 22: 0.6666671565805014+5.8062241766333415e-5<0.8751298589758962\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8751298589758962. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 11 22: 0.5000558119600829+1.235564730351733e-5<0.8751298589758962\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8751298589758962. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 16 22: 0.8750140762835413+6.371313431564292e-7<0.8751298589758962\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8751298589758962. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 17 22: 0.6458341624494645+9.750836732961828e-7<0.8751298589758962\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8751298589758962. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 25 22: 9.665251415174035e-7+0.8750000298910977<0.8751298589758962\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8751298589758962. \n",
"distance squared from orbit of 23 to 22 will be revised since for 23 26 22: 1.612706232522123e-5+0.8750006895570985<0.8751298589758962\n",
"revised distance squared from orbit of 23 to 22 is at most 0.8750264604016397. \n",
"distance squared from orbit of 23 to 27 will be revised since for 23 25 27: 9.665251415174035e-7+4.14283971197918e-8<0.00014634467672095257\n",
"revised distance squared from orbit of 23 to 27 is at most 0.00014634467672095257. \n",
"distance squared from orbit of 23 to 27 will be revised since for 23 26 27: 1.612706232522123e-5+8.322754772760513e-7<0.00014634467672095257\n",
"revised distance squared from orbit of 23 to 27 is at most 1.9634101526870165e-5. \n",
"\n",
"distance squared from orbit of 24 to 3 will be revised since for 24 8 3: 0.5000000000011836+0.5000000000000409<1.0000000000027462\n",
"revised distance squared from orbit of 24 to 3 is at most 1.0000000000027462. \n",
"distance squared from orbit of 24 to 3 will be revised since for 24 15 3: 0.33333333333341547+0.6473671297244358<1.0000000000027462\n",
"revised distance squared from orbit of 24 to 3 is at most 1.0000000000027462. \n",
"distance squared from orbit of 24 to 4 will be revised since for 24 8 4: 0.5000000000011836+0.33333333333335075<0.9166666666671216\n",
"revised distance squared from orbit of 24 to 4 is at most 0.9166666666671216. \n",
"distance squared from orbit of 24 to 6 will be revised since for 24 8 6: 0.5000000000011836+0.3333334121541456<0.8333348193397502\n",
"revised distance squared from orbit of 24 to 6 is at most 0.8333348193397502. \n",
"distance squared from orbit of 24 to 6 will be revised since for 24 11 6: 0.5000004032008448+0.16666666666674113<0.8333348193397502\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 24 to 6 is at most 0.8333334745845482. \n",
"distance squared from orbit of 24 to 7 will be revised since for 24 15 7: 0.33333333333341547+0.6606500560504187<1.0000000000973466\n",
"revised distance squared from orbit of 24 to 7 is at most 1.0000000000973466. \n",
"distance squared from orbit of 24 to 7 will be revised since for 24 19 7: 0.33338112414868026+0.6611185183610793<1.0000000000973466\n",
"revised distance squared from orbit of 24 to 7 is at most 1.0000000000973466. \n",
"distance squared from orbit of 24 to 9 will be revised since for 24 8 9: 0.5000000000011836+0.25000000000004585<0.8333333333336892\n",
"revised distance squared from orbit of 24 to 9 is at most 0.8333333333336892. \n",
"distance squared from orbit of 24 to 9 will be revised since for 24 15 9: 0.33333333333341547+0.5000000000000145<0.8333333333336892\n",
"revised distance squared from orbit of 24 to 9 is at most 0.8333333333336892. \n",
"distance squared from orbit of 24 to 10 will be revised since for 24 4 10: 0.9166666666671216+5.234815624435434e-12<0.9389449363085561\n",
"revised distance squared from orbit of 24 to 10 is at most 0.9389449363085561. \n",
"distance squared from orbit of 24 to 10 will be revised since for 24 8 10: 0.5000000000011836+0.39421966414260984<0.9389449363085561\n",
"revised distance squared from orbit of 24 to 10 is at most 0.9389449363085561. \n",
"distance squared from orbit of 24 to 13 will be revised since for 24 8 13: 0.5000000000011836+0.16666720871693394<0.8833708286981434\n",
"revised distance squared from orbit of 24 to 13 is at most 0.8833708286981434. \n",
"distance squared from orbit of 24 to 13 will be revised since for 24 9 13: 0.8333333333336892+8.205210976586141e-7<0.8833708286981434\n",
"revised distance squared from orbit of 24 to 13 is at most 0.8833708286981434. \n",
"distance squared from orbit of 24 to 13 will be revised since for 24 11 13: 0.5000004032008448+0.16666679187421402<0.8833708286981434\n",
"revised distance squared from orbit of 24 to 13 is at most 0.8833708286981434. \n",
"distance squared from orbit of 24 to 13 will be revised since for 24 12 13: 0.6000000000064735+0.16666685980954538<0.8833708286981434\n",
"revised distance squared from orbit of 24 to 13 is at most 0.8833708286981434. \n",
"distance squared from orbit of 24 to 13 will be revised since for 24 14 13: 0.5000244085621793+0.16666670501096717<0.8833708286981434\n",
"revised distance squared from orbit of 24 to 13 is at most 0.8833708286981434. \n",
"distance squared from orbit of 24 to 13 will be revised since for 24 18 13: 0.7142857142867813+0.16666666666682453<0.8833708286981434\n",
"revised distance squared from orbit of 24 to 13 is at most 0.8833708286981434. \n",
"distance squared from orbit of 24 to 17 will be revised since for 24 11 17: 0.5000004032008448+1.1476213308831052e-6<0.6666671185349972\n",
"revised distance squared from orbit of 24 to 17 is at most 0.6666671185349972. \n",
"distance squared from orbit of 24 to 18 will be revised since for 24 8 18: 0.5000000000011836+6.06350248588218e-7<0.7142857142867813\n",
"revised distance squared from orbit of 24 to 18 is at most 0.7142857142867813. \n",
"distance squared from orbit of 24 to 18 will be revised since for 24 11 18: 0.5000004032008448+3.1807084935053145e-7<0.7142857142867813\n",
"revised distance squared from orbit of 24 to 18 is at most 0.7142857142867813. \n",
"distance squared from orbit of 24 to 18 will be revised since for 24 12 18: 0.6000000000064735+9.84594644457221e-7<0.7142857142867813\n",
"revised distance squared from orbit of 24 to 18 is at most 0.7142857142867813. \n",
"distance squared from orbit of 24 to 18 will be revised since for 24 14 18: 0.5000244085621793+8.589828039503053e-7<0.7142857142867813\n",
"revised distance squared from orbit of 24 to 18 is at most 0.7142857142867813. \n",
"distance squared from orbit of 24 to 20 will be revised since for 24 15 20: 0.33333333333341547+6.453630671211461e-7<0.3333340747217656\n",
"revised distance squared from orbit of 24 to 20 is at most 0.3333340747217656. \n",
"distance squared from orbit of 24 to 20 will be revised since for 24 27 20: 6.757875266745599e-7+0.3333333333334052<0.3333340747217656\n",
"revised distance squared from orbit of 24 to 20 is at most 0.3333335236184651. \n",
"distance squared from orbit of 24 to 22 will be revised since for 24 6 22: 0.8333334745845482+5.8062241766333415e-5<0.8750003744244457\n",
"revised distance squared from orbit of 24 to 22 is at most 0.8750003744244457. \n",
"distance squared from orbit of 24 to 22 will be revised since for 24 11 22: 0.5000004032008448+1.235564730351733e-5<0.8750003744244457\n",
"revised distance squared from orbit of 24 to 22 is at most 0.8750003744244457. \n",
"distance squared from orbit of 24 to 22 will be revised since for 24 17 22: 0.6666671185349972+9.750836732961828e-7<0.8750003744244457\n",
"revised distance squared from orbit of 24 to 22 is at most 0.8750003744244457. \n",
"distance squared from orbit of 24 to 23 will be revised since for 24 15 23: 0.33333333333341547+0.16666689102718332<0.554403500951791\n",
"revised distance squared from orbit of 24 to 23 is at most 0.554403500951791. \n",
"distance squared from orbit of 24 to 23 will be revised since for 24 19 23: 0.33338112414868026+0.1666667237341603<0.554403500951791\n",
"revised distance squared from orbit of 24 to 23 is at most 0.554403500951791. \n",
"distance squared from orbit of 24 to 23 will be revised since for 24 20 23: 0.3333335236184651+0.16666669472601414<0.554403500951791\n",
"revised distance squared from orbit of 24 to 23 is at most 0.554403500951791. \n",
"distance squared from orbit of 24 to 23 will be revised since for 24 21 23: 0.5000000000000285+5.902143258015339e-7<0.554403500951791\n",
"revised distance squared from orbit of 24 to 23 is at most 0.554403500951791. \n",
"distance squared from orbit of 24 to 25 will be revised since for 24 8 25: 0.5000000000011836+2.953228993195046e-7<0.5000004400994519\n",
"revised distance squared from orbit of 24 to 25 is at most 0.5000004400994519. \n",
"distance squared from orbit of 24 to 25 will be revised since for 24 11 25: 0.5000004032008448+2.3583944455157915e-8<0.5000004400994519\n",
"revised distance squared from orbit of 24 to 25 is at most 0.5000004400994519. \n",
"distance squared from orbit of 24 to 25 will be revised since for 24 15 25: 0.33333333333341547+2.5452125986484096e-6<0.5000004400994519\n",
"revised distance squared from orbit of 24 to 25 is at most 0.5000004400994519. \n",
"distance squared from orbit of 24 to 25 will be revised since for 24 19 25: 0.33338112414868026+4.431671039716268e-7<0.5000004400994519\n",
"revised distance squared from orbit of 24 to 25 is at most 0.5000004400994519. \n",
"distance squared from orbit of 24 to 25 will be revised since for 24 20 25: 0.3333335236184651+3.613705994822693e-7<0.5000004400994519\n",
"revised distance squared from orbit of 24 to 25 is at most 0.5000004400994519. \n",
"distance squared from orbit of 24 to 25 will be revised since for 24 21 25: 0.5000000000000285+4.359523553186725e-7<0.5000004400994519\n",
"revised distance squared from orbit of 24 to 25 is at most 0.5000002456793137. \n",
"\n",
"distance squared from orbit of 25 to 5 will be revised since for 25 27 5: 4.14283971197918e-8+0.9791666666688913<0.9791667170388548\n",
"revised distance squared from orbit of 25 to 5 is at most 0.9791666742895015. \n",
"distance squared from orbit of 25 to 9 will be revised since for 25 23 9: 0.16666666666667862+0.5000000000000189<0.7500000000000603\n",
"revised distance squared from orbit of 25 to 9 is at most 0.7500000000000603. \n",
"distance squared from orbit of 25 to 10 will be revised since for 25 4 10: 0.666666666666702+5.234815624435434e-12<0.727552997475871\n",
"revised distance squared from orbit of 25 to 10 is at most 0.727552997475871. \n",
"distance squared from orbit of 25 to 14 will be revised since for 25 8 14: 0.5000000001644399+2.7021844120461495e-5<0.5793156242931875\n",
"revised distance squared from orbit of 25 to 14 is at most 0.5793156242931875. \n",
"distance squared from orbit of 25 to 15 will be revised since for 25 23 15: 0.16666666666667862+0.333333333536027<0.5833333335923028\n",
"revised distance squared from orbit of 25 to 15 is at most 0.5833333335782216. \n",
"distance squared from orbit of 25 to 15 will be revised since for 25 26 15: 0.14285717914878926+0.33333333333655313<0.5833333335782216\n",
"revised distance squared from orbit of 25 to 15 is at most 0.5833333335782216. \n",
"distance squared from orbit of 25 to 17 will be revised since for 25 11 17: 0.5000000190581585+1.1476213308831052e-6<0.6458333333335508\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 25 to 17 is at most 0.6458333333335508. \n",
"distance squared from orbit of 25 to 21 will be revised since for 25 23 21: 0.16666666666667862+0.20000000000001478<0.40000000000002134\n",
"revised distance squared from orbit of 25 to 21 is at most 0.40000000000002134. \n",
"distance squared from orbit of 25 to 22 will be revised since for 25 6 22: 0.666666666666706+5.8062241766333415e-5<0.8750000298910977\n",
"revised distance squared from orbit of 25 to 22 is at most 0.8750000298910977. \n",
"distance squared from orbit of 25 to 22 will be revised since for 25 11 22: 0.5000000190581585+1.235564730351733e-5<0.8750000298910977\n",
"revised distance squared from orbit of 25 to 22 is at most 0.8750000298910977. \n",
"distance squared from orbit of 25 to 22 will be revised since for 25 17 22: 0.6458333333335508+9.750836732961828e-7<0.8750000298910977\n",
"revised distance squared from orbit of 25 to 22 is at most 0.8750000298910977. \n",
"distance squared from orbit of 25 to 24 will be revised since for 25 23 24: 0.16666666666667862+0.20000000010320002<0.40000000013698894\n",
"revised distance squared from orbit of 25 to 24 is at most 0.40000000013698894. \n",
"distance squared from orbit of 25 to 24 will be revised since for 25 26 24: 0.14285717914878926+0.2000000000043958<0.40000000013698894\n",
"revised distance squared from orbit of 25 to 24 is at most 0.40000000013698894. \n",
"\n",
"distance squared from orbit of 26 to 3 will be revised since for 26 15 3: 0.33333333333655313+0.6473671297244358<1.0000000000002927\n",
"revised distance squared from orbit of 26 to 3 is at most 1.0000000000002927. \n",
"distance squared from orbit of 26 to 4 will be revised since for 26 8 4: 0.5000000000003536+0.33333333333335075<0.9166666666670219\n",
"revised distance squared from orbit of 26 to 4 is at most 0.9166666666670219. \n",
"distance squared from orbit of 26 to 6 will be revised since for 26 8 6: 0.5000000000003536+0.3333334121541456<0.8333342183695799\n",
"revised distance squared from orbit of 26 to 6 is at most 0.8333342183695799. \n",
"distance squared from orbit of 26 to 6 will be revised since for 26 11 6: 0.5000006130047416+0.16666666666674113<0.8333342183695799\n",
"revised distance squared from orbit of 26 to 6 is at most 0.8333334982019219. \n",
"distance squared from orbit of 26 to 7 will be revised since for 26 15 7: 0.33333333333655313+0.6606500560504187<1.0000000000002882\n",
"revised distance squared from orbit of 26 to 7 is at most 1.0000000000002882. \n",
"distance squared from orbit of 26 to 7 will be revised since for 26 19 7: 0.3333333333333942+0.6611185183610793<1.0000000000002882\n",
"revised distance squared from orbit of 26 to 7 is at most 1.0000000000002882. \n",
"distance squared from orbit of 26 to 9 will be revised since for 26 8 9: 0.5000000000003536+0.25000000000004585<0.8333333333707799\n",
"revised distance squared from orbit of 26 to 9 is at most 0.8333333333707799. \n",
"distance squared from orbit of 26 to 9 will be revised since for 26 15 9: 0.33333333333655313+0.5000000000000145<0.8333333333707799\n",
"revised distance squared from orbit of 26 to 9 is at most 0.8333333333707799. \n",
"distance squared from orbit of 26 to 10 will be revised since for 26 4 10: 0.9166666666670219+5.234815624435434e-12<0.943387697049285\n",
"revised distance squared from orbit of 26 to 10 is at most 0.943387697049285. \n",
"distance squared from orbit of 26 to 10 will be revised since for 26 8 10: 0.5000000000003536+0.39421966414260984<0.943387697049285\n",
"revised distance squared from orbit of 26 to 10 is at most 0.943387697049285. \n",
"distance squared from orbit of 26 to 13 will be revised since for 26 8 13: 0.5000000000003536+0.16666720871693394<0.8995526772384297\n",
"revised distance squared from orbit of 26 to 13 is at most 0.8995526772384297. \n",
"distance squared from orbit of 26 to 13 will be revised since for 26 9 13: 0.8333333333707799+8.205210976586141e-7<0.8995526772384297\n",
"revised distance squared from orbit of 26 to 13 is at most 0.8995526772384297. \n",
"distance squared from orbit of 26 to 13 will be revised since for 26 11 13: 0.5000006130047416+0.16666679187421402<0.8995526772384297\n",
"revised distance squared from orbit of 26 to 13 is at most 0.8995526772384297. \n",
"distance squared from orbit of 26 to 13 will be revised since for 26 12 13: 0.6000000000053151+0.16666685980954538<0.8995526772384297\n",
"revised distance squared from orbit of 26 to 13 is at most 0.8995526772384297. \n",
"distance squared from orbit of 26 to 13 will be revised since for 26 14 13: 0.5000000000000738+0.16666670501096717<0.8995526772384297\n",
"revised distance squared from orbit of 26 to 13 is at most 0.8995526772384297. \n",
"distance squared from orbit of 26 to 13 will be revised since for 26 18 13: 0.714285714286068+0.16666666666682453<0.8995526772384297\n",
"revised distance squared from orbit of 26 to 13 is at most 0.8995526772384297. \n",
"distance squared from orbit of 26 to 17 will be revised since for 26 11 17: 0.5000006130047416+1.1476213308831052e-6<0.6666676666680721\n",
"revised distance squared from orbit of 26 to 17 is at most 0.6666676666680721. \n",
"distance squared from orbit of 26 to 17 will be revised since for 26 27 17: 8.322754772760513e-7+0.6666666666668272<0.6666676666680721\n",
"revised distance squared from orbit of 26 to 17 is at most 0.6666670138403918. \n",
"distance squared from orbit of 26 to 18 will be revised since for 26 8 18: 0.5000000000003536+6.06350248588218e-7<0.714285714286068\n",
"revised distance squared from orbit of 26 to 18 is at most 0.714285714286068. \n",
"distance squared from orbit of 26 to 18 will be revised since for 26 11 18: 0.5000006130047416+3.1807084935053145e-7<0.714285714286068\n",
"revised distance squared from orbit of 26 to 18 is at most 0.714285714286068. \n",
"distance squared from orbit of 26 to 18 will be revised since for 26 12 18: 0.6000000000053151+9.84594644457221e-7<0.714285714286068\n",
"revised distance squared from orbit of 26 to 18 is at most 0.714285714286068. \n",
"distance squared from orbit of 26 to 18 will be revised since for 26 14 18: 0.5000000000000738+8.589828039503053e-7<0.714285714286068\n",
"revised distance squared from orbit of 26 to 18 is at most 0.714285714286068. \n",
"distance squared from orbit of 26 to 20 will be revised since for 26 15 20: 0.33333333333655313+6.453630671211461e-7<0.33333426680742284\n",
"revised distance squared from orbit of 26 to 20 is at most 0.33333426680742284. \n",
"distance squared from orbit of 26 to 20 will be revised since for 26 19 20: 0.3333333333333942+7.246916594675523e-7<0.33333426680742284\n",
"revised distance squared from orbit of 26 to 20 is at most 0.33333426680742284. \n",
"distance squared from orbit of 26 to 20 will be revised since for 26 27 20: 8.322754772760513e-7+0.3333333333334052<0.33333426680742284\n",
"revised distance squared from orbit of 26 to 20 is at most 0.3333334932953352. \n",
"distance squared from orbit of 26 to 21 will be revised since for 26 15 21: 0.33333333333655313+0.20000000000006235<0.7000000000042998\n",
"revised distance squared from orbit of 26 to 21 is at most 0.7000000000042998. \n",
"distance squared from orbit of 26 to 22 will be revised since for 26 6 22: 0.8333334982019219+5.8062241766333415e-5<0.8750006895570985\n",
"revised distance squared from orbit of 26 to 22 is at most 0.8750006895570985. \n",
"distance squared from orbit of 26 to 22 will be revised since for 26 11 22: 0.5000006130047416+1.235564730351733e-5<0.8750006895570985\n",
"revised distance squared from orbit of 26 to 22 is at most 0.8750006895570985. \n",
"distance squared from orbit of 26 to 22 will be revised since for 26 17 22: 0.6666670138403918+9.750836732961828e-7<0.8750006895570985\n",
"revised distance squared from orbit of 26 to 22 is at most 0.8750006895570985. \n",
"distance squared from orbit of 26 to 23 will be revised since for 26 15 23: 0.33333333333655313+0.16666689102718332<0.6483268859519268\n",
"revised distance squared from orbit of 26 to 23 is at most 0.6483268859519268. \n",
"distance squared from orbit of 26 to 23 will be revised since for 26 19 23: 0.3333333333333942+0.1666667237341603<0.6483268859519268\n",
"revised distance squared from orbit of 26 to 23 is at most 0.6483268859519268. \n",
"distance squared from orbit of 26 to 23 will be revised since for 26 20 23: 0.3333334932953352+0.16666669472601414<0.6483268859519268\n",
"revised distance squared from orbit of 26 to 23 is at most 0.6483268859519268. \n",
"distance squared from orbit of 26 to 25 will be revised since for 26 8 25: 0.5000000000003536+2.953228993195046e-7<0.5000003358035481\n",
"revised distance squared from orbit of 26 to 25 is at most 0.5000003358035481. \n",
"distance squared from orbit of 26 to 25 will be revised since for 26 14 25: 0.5000000000000738+2.78612801023391e-8<0.5000003358035481\n",
"revised distance squared from orbit of 26 to 25 is at most 0.5000003358035481. \n",
"distance squared from orbit of 26 to 25 will be revised since for 26 15 25: 0.33333333333655313+2.5452125986484096e-6<0.5000003358035481\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"revised distance squared from orbit of 26 to 25 is at most 0.5000003358035481. \n",
"distance squared from orbit of 26 to 25 will be revised since for 26 19 25: 0.3333333333333942+4.431671039716268e-7<0.5000003358035481\n",
"revised distance squared from orbit of 26 to 25 is at most 0.5000003358035481. \n",
"distance squared from orbit of 26 to 25 will be revised since for 26 20 25: 0.3333334932953352+3.613705994822693e-7<0.5000003358035481\n",
"revised distance squared from orbit of 26 to 25 is at most 0.5000003358035481. \n",
"\n",
"distance squared from orbit of 27 to 4 will be revised since for 27 8 4: 0.5000000000000453+0.33333333333335075<0.9166666666667459\n",
"revised distance squared from orbit of 27 to 4 is at most 0.9166666666667459. \n",
"distance squared from orbit of 27 to 6 will be revised since for 27 11 6: 0.5000000000000749+0.16666666666674113<0.8333333333333859\n",
"revised distance squared from orbit of 27 to 6 is at most 0.8333333333333859. \n",
"distance squared from orbit of 27 to 9 will be revised since for 27 8 9: 0.5000000000000453+0.25000000000004585<0.9500000000062987\n",
"revised distance squared from orbit of 27 to 9 is at most 0.9500000000062987. \n",
"distance squared from orbit of 27 to 9 will be revised since for 27 12 9: 0.6000000000005886+0.2500000000000293<0.9500000000062987\n",
"revised distance squared from orbit of 27 to 9 is at most 0.9500000000062987. \n",
"distance squared from orbit of 27 to 10 will be revised since for 27 4 10: 0.9166666666667459+5.234815624435434e-12<0.9495241293736061\n",
"revised distance squared from orbit of 27 to 10 is at most 0.9495241293736061. \n",
"distance squared from orbit of 27 to 10 will be revised since for 27 8 10: 0.5000000000000453+0.39421966414260984<0.9495241293736061\n",
"revised distance squared from orbit of 27 to 10 is at most 0.9495241293736061. \n",
"distance squared from orbit of 27 to 13 will be revised since for 27 4 13: 0.9166666666667459+1.2549473829021392e-10<0.922917982937698\n",
"revised distance squared from orbit of 27 to 13 is at most 0.922917982937698. \n",
"distance squared from orbit of 27 to 13 will be revised since for 27 8 13: 0.5000000000000453+0.16666720871693394<0.922917982937698\n",
"revised distance squared from orbit of 27 to 13 is at most 0.922917982937698. \n",
"distance squared from orbit of 27 to 13 will be revised since for 27 11 13: 0.5000000000000749+0.16666679187421402<0.922917982937698\n",
"revised distance squared from orbit of 27 to 13 is at most 0.922917982937698. \n",
"distance squared from orbit of 27 to 13 will be revised since for 27 12 13: 0.6000000000005886+0.16666685980954538<0.922917982937698\n",
"revised distance squared from orbit of 27 to 13 is at most 0.922917982937698. \n",
"distance squared from orbit of 27 to 13 will be revised since for 27 14 13: 0.5799193475827998+0.16666670501096717<0.922917982937698\n",
"revised distance squared from orbit of 27 to 13 is at most 0.922917982937698. \n",
"distance squared from orbit of 27 to 13 will be revised since for 27 18 13: 0.7142857142909251+0.16666666666682453<0.922917982937698\n",
"revised distance squared from orbit of 27 to 13 is at most 0.922917982937698. \n",
"distance squared from orbit of 27 to 14 will be revised since for 27 8 14: 0.5000000000000453+2.7021844120461495e-5<0.5799193475827998\n",
"revised distance squared from orbit of 27 to 14 is at most 0.5799193475827998. \n",
"distance squared from orbit of 27 to 15 will be revised since for 27 26 15: 0.1428571428571731+0.33333333333655313<0.5833333333333404\n",
"revised distance squared from orbit of 27 to 15 is at most 0.5833333333333404. \n",
"distance squared from orbit of 27 to 17 will be revised since for 27 11 17: 0.5000000000000749+1.1476213308831052e-6<0.6666666666668272\n",
"revised distance squared from orbit of 27 to 17 is at most 0.6666666666668272. \n",
"distance squared from orbit of 27 to 18 will be revised since for 27 8 18: 0.5000000000000453+6.06350248588218e-7<0.7142857142909251\n",
"revised distance squared from orbit of 27 to 18 is at most 0.7142857142909251. \n",
"distance squared from orbit of 27 to 18 will be revised since for 27 11 18: 0.5000000000000749+3.1807084935053145e-7<0.7142857142909251\n",
"revised distance squared from orbit of 27 to 18 is at most 0.7142857142909251. \n",
"distance squared from orbit of 27 to 18 will be revised since for 27 12 18: 0.6000000000005886+9.84594644457221e-7<0.7142857142909251\n",
"revised distance squared from orbit of 27 to 18 is at most 0.7142857142909251. \n",
"distance squared from orbit of 27 to 18 will be revised since for 27 14 18: 0.5799193475827998+8.589828039503053e-7<0.7142857142909251\n",
"revised distance squared from orbit of 27 to 18 is at most 0.7142857142909251. \n",
"distance squared from orbit of 27 to 21 will be revised since for 27 8 21: 0.5000000000000453+0.40000000000043157<0.9000000000014206\n",
"revised distance squared from orbit of 27 to 21 is at most 0.9000000000014206. \n",
"distance squared from orbit of 27 to 21 will be revised since for 27 15 21: 0.5833333333333404+0.20000000000006235<0.9000000000014206\n",
"revised distance squared from orbit of 27 to 21 is at most 0.9000000000014206. \n",
"distance squared from orbit of 27 to 21 will be revised since for 27 19 21: 0.4359405000379309+0.40000001376112604<0.9000000000014206\n",
"revised distance squared from orbit of 27 to 21 is at most 0.9000000000014206. \n",
"distance squared from orbit of 27 to 21 will be revised since for 27 20 21: 0.3333333333334052+0.40000000896464255<0.9000000000014206\n",
"revised distance squared from orbit of 27 to 21 is at most 0.9000000000014206. \n",
"distance squared from orbit of 27 to 21 will be revised since for 27 23 21: 0.6666666666667234+0.20000000000001478<0.9000000000014206\n",
"revised distance squared from orbit of 27 to 21 is at most 0.9000000000014206. \n",
"distance squared from orbit of 27 to 21 will be revised since for 27 24 21: 0.4000000000000207+0.5000000000000285<0.9000000000014206\n",
"revised distance squared from orbit of 27 to 21 is at most 0.9000000000014206. \n",
"distance squared from orbit of 27 to 21 will be revised since for 27 25 21: 0.5000000000000377+0.40000000000002134<0.9000000000014206\n",
"revised distance squared from orbit of 27 to 21 is at most 0.900000000000817. \n",
"distance squared from orbit of 27 to 21 will be revised since for 27 26 21: 0.1428571428571731+0.7000000000042998<0.900000000000817\n",
"revised distance squared from orbit of 27 to 21 is at most 0.900000000000817. \n",
"distance squared from orbit of 27 to 22 will be revised since for 27 6 22: 0.8333333333333859+5.8062241766333415e-5<0.8750000000000718\n",
"revised distance squared from orbit of 27 to 22 is at most 0.8750000000000718. \n",
"distance squared from orbit of 27 to 22 will be revised since for 27 11 22: 0.5000000000000749+1.235564730351733e-5<0.8750000000000718\n",
"revised distance squared from orbit of 27 to 22 is at most 0.8750000000000718. \n",
"distance squared from orbit of 27 to 22 will be revised since for 27 17 22: 0.6666666666668272+9.750836732961828e-7<0.8750000000000718\n",
"revised distance squared from orbit of 27 to 22 is at most 0.8750000000000718. \n",
"distance squared from orbit of 27 to 23 will be revised since for 27 19 23: 0.4359405000379309+0.1666667237341603<0.6666666666667234\n",
"revised distance squared from orbit of 27 to 23 is at most 0.6666666666667234. \n",
"distance squared from orbit of 27 to 23 will be revised since for 27 20 23: 0.3333333333334052+0.16666669472601414<0.6666666666667234\n",
"revised distance squared from orbit of 27 to 23 is at most 0.6666666666667234. \n",
"distance squared from orbit of 27 to 23 will be revised since for 27 25 23: 0.5000000000000377+0.16666666666667862<0.6666666666667234\n",
"revised distance squared from orbit of 27 to 23 is at most 0.6666666666667234. \n",
"distance squared from orbit of 27 to 24 will be revised since for 27 26 24: 0.1428571428571731+0.2000000000043958<0.4000000000000207\n",
"revised distance squared from orbit of 27 to 24 is at most 0.4000000000000207. \n",
"distance squared from orbit of 27 to 25 will be revised since for 27 19 25: 0.4359405000379309+4.431671039716268e-7<0.5000000000000377\n",
"revised distance squared from orbit of 27 to 25 is at most 0.5000000000000377. \n",
"distance squared from orbit of 27 to 25 will be revised since for 27 20 25: 0.3333333333334052+3.613705994822693e-7<0.5000000000000377\n",
"revised distance squared from orbit of 27 to 25 is at most 0.5000000000000377. \n",
"\n",
"rechecked new distance squared from orbit of 1 to 2 is at most 1.7008562971759573e-7 old is 4.7390670297129574e-7. \n",
"rechecked better distance squared from orbit of 1 to 2 is at most 9.50627875362481e-8 old is 1.7008562971759573e-7. \n",
"rechecked better distance squared from orbit of 1 to 6 is at most 2.4332039892151664e-8 old is 8.148479490541145e-8. \n",
"rechecked better distance squared from orbit of 1 to 7 is at most 1.3187990789414354e-6 old is 3.737521804908807e-6. \n",
"rechecked better distance squared from orbit of 1 to 8 is at most 1.0706428109095072e-10 old is 8.425392242492257e-9. \n",
"rechecked better distance squared from orbit of 1 to 12 is at most 9.15131479148756e-8 old is 9.396703098072487e-8. \n",
"rechecked better distance squared from orbit of 1 to 13 is at most 0.16666691453363697 old is 0.16666711871675594. \n",
"rechecked better distance squared from orbit of 1 to 14 is at most 5.1159061894718174e-5 old is 5.430329683370956e-5. \n",
"rechecked better distance squared from orbit of 1 to 15 is at most 0.25000000004328216 old is 0.25000000008047096. \n",
"rechecked better distance squared from orbit of 1 to 18 is at most 4.4752289927850894e-7 old is 7.938912410528549e-7. \n",
"rechecked better distance squared from orbit of 1 to 19 is at most 5.152170933290126e-6 old is 8.640753862370657e-6. \n",
"rechecked better distance squared from orbit of 1 to 20 is at most 2.4283042547305935e-6 old is 2.429470540936448e-6. \n",
"rechecked better distance squared from orbit of 1 to 22 is at most 2.463731087313878e-7 old is 8.55337840172618e-7. \n",
"rechecked better distance squared from orbit of 1 to 23 is at most 0.16666673414224267 old is 0.16666673560929537. \n",
"rechecked better distance squared from orbit of 1 to 24 is at most 0.20040033686824213 old is 0.20041302631016614. \n",
"rechecked better distance squared from orbit of 1 to 25 is at most 8.600286510232418e-7 old is 8.681864911463366e-7. \n",
"rechecked better distance squared from orbit of 1 to 26 is at most 1.2076242803984705e-5 old is 1.208901973347645e-5. \n",
"rechecked new distance squared from orbit of 2 to 2 is at most 1.6372909723363362e-13 old is 7.206917790524841e-13. \n",
"rechecked better distance squared from orbit of 2 to 4 is at most 0.3333333344578147 old is 0.3333333346237438. \n",
"rechecked better distance squared from orbit of 2 to 6 is at most 1.4932804943220126e-5 old is 0.0001425417457495989. \n",
"rechecked better distance squared from orbit of 2 to 7 is at most 1.1069157192829281e-5 old is 1.3363366098697689e-5. \n",
"rechecked better distance squared from orbit of 2 to 8 is at most 0.25000046747653953 old is 0.250001567276096. \n",
"rechecked better distance squared from orbit of 2 to 9 is at most 0.250000001518603 old is 0.2500000016163185. \n",
"rechecked better distance squared from orbit of 2 to 10 is at most 0.3942196684827926 old is 0.39421966954999277. \n",
"rechecked better distance squared from orbit of 2 to 11 is at most 5.21683326665092e-7 old is 1.850992574903488e-6. \n",
"rechecked new distance squared from orbit of 2 to 12 is at most 4.499253269282601e-9 old is 1.663348421524005e-8. \n",
"rechecked better distance squared from orbit of 2 to 12 is at most 4.291735162883579e-9 old is 4.499253269282601e-9. \n",
"rechecked better distance squared from orbit of 2 to 14 is at most 0.00032123902337875435 old is 0.0003906755587302728. \n",
"rechecked better distance squared from orbit of 2 to 15 is at most 0.2500012751098838 old is 0.2500013992428328. \n",
"rechecked better distance squared from orbit of 2 to 17 is at most 4.302261093654905e-6 old is 4.452957210829497e-6. \n",
"rechecked better distance squared from orbit of 2 to 18 is at most 6.4898030972232e-7 old is 7.061251228349591e-7. \n",
"rechecked better distance squared from orbit of 2 to 19 is at most 1.3939457763825845e-5 old is 1.393949732556095e-5. \n",
"rechecked better distance squared from orbit of 2 to 20 is at most 0.00011388478029962671 old is 0.0001309494222162627. \n",
"rechecked better distance squared from orbit of 2 to 22 is at most 1.4589941864075296e-6 old is 1.6213807088124096e-6. \n",
"rechecked better distance squared from orbit of 2 to 24 is at most 0.2002235004255652 old is 0.20029817027027005. \n",
"rechecked better distance squared from orbit of 2 to 25 is at most 1.604607221764146e-6 old is 1.604607221764158e-6. \n",
"rechecked better distance squared from orbit of 2 to 26 is at most 7.05347477701615e-5 old is 9.58163236080022e-5. \n",
"rechecked better distance squared from orbit of 2 to 27 is at most 4.112183911804052e-8 old is 4.6171432435163126e-8. \n",
"rechecked new distance squared from orbit of 3 to 3 is at most 7.220395909631345e-14 old is 3.5223529778181723e-13. \n",
"rechecked better distance squared from orbit of 3 to 6 is at most 0.1666669012667211 old is 0.16666702878448095. \n",
"rechecked better distance squared from orbit of 3 to 7 is at most 1.1222367461176276e-5 old is 3.527170575322729e-5. \n",
"rechecked better distance squared from orbit of 3 to 10 is at most 0.3942196641946166 old is 0.39421966419748256. \n",
"rechecked better distance squared from orbit of 3 to 11 is at most 2.73771142128751e-7 old is 6.601126894990639e-7. \n",
"rechecked better distance squared from orbit of 3 to 13 is at most 0.1666672052011367 old is 0.1666672092816753. \n",
"rechecked better distance squared from orbit of 3 to 14 is at most 2.4116046893480727e-5 old is 2.4616826769190398e-5. \n",
"rechecked better distance squared from orbit of 3 to 15 is at most 0.2500000000339655 old is 0.25000000004115075. \n",
"rechecked better distance squared from orbit of 3 to 17 is at most 2.2323347568765936e-6 old is 2.238828496653235e-6. \n",
"rechecked better distance squared from orbit of 3 to 18 is at most 6.045473436357119e-7 old is 6.045534248864916e-7. \n",
"rechecked better distance squared from orbit of 3 to 20 is at most 1.5810924472234808e-6 old is 1.5810956780928575e-6. \n",
"rechecked better distance squared from orbit of 3 to 22 is at most 2.5828633625457918e-6 old is 3.160152534958536e-6. \n",
"rechecked better distance squared from orbit of 3 to 23 is at most 0.1666676436614952 old is 0.16666769005907942. \n",
"rechecked better distance squared from orbit of 3 to 24 is at most 0.200434542122506 old is 0.20089458152857734. \n",
"rechecked better distance squared from orbit of 3 to 25 is at most 1.4238284602127397e-6 old is 1.4239090463950962e-6. \n",
"rechecked better distance squared from orbit of 3 to 26 is at most 6.649309764543217e-5 old is 0.00019614727095628774. \n",
"rechecked better distance squared from orbit of 3 to 27 is at most 8.598922428715553e-8 old is 8.598922428719407e-8. \n",
"rechecked better distance squared from orbit of 4 to 2 is at most 0.5000000014725472 old is 0.5000000014725496. \n",
"rechecked better distance squared from orbit of 4 to 3 is at most 0.500000000417561 old is 0.5000000005038238. \n",
"rechecked better distance squared from orbit of 4 to 6 is at most 0.3333333368612826 old is 0.3333333378743082. \n",
"rechecked better distance squared from orbit of 4 to 8 is at most 1.0389382486310245e-7 old is 2.399943510470258e-7. \n",
"rechecked better distance squared from orbit of 4 to 11 is at most 0.33333366298956335 old is 0.3333339511341054. \n",
"rechecked better distance squared from orbit of 4 to 12 is at most 0.20000001558552905 old is 0.20000001888187613. \n",
"rechecked better distance squared from orbit of 4 to 13 is at most 1.2171007595831845e-10 old is 1.2549473829021392e-10. \n",
"rechecked better distance squared from orbit of 4 to 14 is at most 3.7423228337356285e-6 old is 5.228921576876884e-6. \n",
"rechecked better distance squared from orbit of 4 to 18 is at most 4.492765105004568e-9 old is 6.295813137326553e-7. \n",
"rechecked better distance squared from orbit of 4 to 19 is at most 0.00010615602580794898 old is 0.0001082125591093311. \n",
"rechecked better distance squared from orbit of 4 to 21 is at most 0.20000000006654253 old is 0.20000000006842075. \n",
"rechecked better distance squared from orbit of 4 to 22 is at most 0.5000000034666215 old is 0.5000000674433864. \n",
"rechecked better distance squared from orbit of 4 to 23 is at most 8.22900265996761e-9 old is 3.9186891123329705e-8. \n",
"rechecked better distance squared from orbit of 4 to 24 is at most 0.2000000185360304 old is 0.20000002437226833. \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"rechecked better distance squared from orbit of 4 to 25 is at most 2.133579459222375e-7 old is 1.8771333721754764e-6. \n",
"rechecked better distance squared from orbit of 4 to 26 is at most 2.353075064261303e-5 old is 2.3536344560586534e-5. \n",
"rechecked better distance squared from orbit of 4 to 27 is at most 1.230208533408735e-5 old is 1.2490883388787412e-5. \n",
"rechecked better distance squared from orbit of 5 to 6 is at most 0.16669274129487496 old is 0.16677340639336152. \n",
"rechecked better distance squared from orbit of 5 to 8 is at most 0.5000003664533484 old is 0.5000003665132761. \n",
"rechecked better distance squared from orbit of 5 to 10 is at most 0.4607856989096745 old is 0.46078601053001045. \n",
"rechecked better distance squared from orbit of 5 to 11 is at most 1.060564274287302e-5 old is 0.0001315547549988315. \n",
"rechecked better distance squared from orbit of 5 to 13 is at most 0.16666725516526026 old is 0.16666726670568827. \n",
"rechecked new distance squared from orbit of 5 to 17 is at most 0.00014706196845462005 old is 0.00020741243174856168. \n",
"rechecked better distance squared from orbit of 5 to 17 is at most 6.0257843647261706e-5 old is 0.00014706196845462005. \n",
"rechecked better distance squared from orbit of 5 to 18 is at most 6.426445213062951e-7 old is 1.8503968767362432e-6. \n",
"rechecked better distance squared from orbit of 5 to 19 is at most 0.14285739753023458 old is 0.14285772146888634. \n",
"rechecked new distance squared from orbit of 5 to 20 is at most 1.0198035967198273e-6 old is 1.168420505571088e-6. \n",
"rechecked better distance squared from orbit of 5 to 20 is at most 9.482788010052418e-7 old is 1.0198035967198273e-6. \n",
"rechecked better distance squared from orbit of 5 to 21 is at most 0.40000096740391455 old is 0.4000009674265151. \n",
"rechecked better distance squared from orbit of 5 to 22 is at most 6.328653187047761e-7 old is 1.3586072713425558e-6. \n",
"rechecked better distance squared from orbit of 5 to 23 is at most 0.1666674546674645 old is 0.16666745478470435. \n",
"rechecked better distance squared from orbit of 5 to 24 is at most 0.40000001802964646 old is 0.40000001809067837. \n",
"rechecked better distance squared from orbit of 5 to 25 is at most 7.870043256654237e-6 old is 1.1717577263504741e-5. \n",
"rechecked better distance squared from orbit of 5 to 26 is at most 0.1428571642827109 old is 0.1428571643108602. \n",
"rechecked better distance squared from orbit of 5 to 27 is at most 3.253734085753105e-8 old is 5.9787753633449e-8. \n",
"rechecked better distance squared from orbit of 6 to 1 is at most 0.9656654874304416 old is 0.9656655010670664. \n",
"rechecked better distance squared from orbit of 6 to 2 is at most 0.5000000073286489 old is 0.5000000073290595. \n",
"rechecked better distance squared from orbit of 6 to 3 is at most 0.6666666878837344 old is 0.6666667051158413. \n",
"rechecked better distance squared from orbit of 6 to 4 is at most 0.6666666710835034 old is 0.6666666714957541. \n",
"rechecked better distance squared from orbit of 6 to 5 is at most 0.5000187171133592 old is 0.500035137038767. \n",
"rechecked better distance squared from orbit of 6 to 7 is at most 0.5000268038408079 old is 0.5000450155087698. \n",
"rechecked better distance squared from orbit of 6 to 8 is at most 0.5000002621845455 old is 0.5000002629894226. \n",
"rechecked better distance squared from orbit of 6 to 9 is at most 0.7268408143109197 old is 0.7268408756027565. \n",
"rechecked better distance squared from orbit of 6 to 10 is at most 0.4607847311074144 old is 0.460784731205184. \n",
"rechecked new distance squared from orbit of 6 to 11 is at most 1.461757935512269e-7 old is 2.686787244106156e-7. \n",
"rechecked better distance squared from orbit of 6 to 11 is at most 7.083323759597627e-8 old is 1.461757935512269e-7. \n",
"rechecked better distance squared from orbit of 6 to 12 is at most 0.400000002490587 old is 0.40000001310406164. \n",
"rechecked better distance squared from orbit of 6 to 13 is at most 0.16666667614055578 old is 0.16666667635466953. \n",
"rechecked better distance squared from orbit of 6 to 14 is at most 0.3523772405690041 old is 0.35237724918879826. \n",
"rechecked better distance squared from orbit of 6 to 15 is at most 0.5000000039755794 old is 0.5000000048715286. \n",
"rechecked better distance squared from orbit of 6 to 16 is at most 0.40000959596381636 old is 0.400014388943892. \n",
"rechecked better distance squared from orbit of 6 to 17 is at most 6.346211791452075e-8 old is 7.605329686152696e-7. \n",
"rechecked new distance squared from orbit of 6 to 18 is at most 7.811045006711682e-8 old is 2.1870722712205967e-7. \n",
"rechecked better distance squared from orbit of 6 to 18 is at most 7.769022529946462e-9 old is 7.811045006711682e-8. \n",
"rechecked better distance squared from orbit of 6 to 19 is at most 0.14285729138519407 old is 0.14285733001712395. \n",
"rechecked better distance squared from orbit of 6 to 20 is at most 9.999968392142173e-8 old is 4.78249754699229e-7. \n",
"rechecked better distance squared from orbit of 6 to 22 is at most 2.6897877106518282e-5 old is 5.8062241766333415e-5. \n",
"rechecked better distance squared from orbit of 6 to 23 is at most 0.16666666990122353 old is 0.16666667024741744. \n",
"rechecked better distance squared from orbit of 6 to 24 is at most 0.4000000859348694 old is 0.4000000871024199. \n",
"rechecked better distance squared from orbit of 6 to 25 is at most 7.082724688022664e-9 old is 1.2486974959020576e-8. \n",
"rechecked better distance squared from orbit of 6 to 26 is at most 0.1428571693365083 old is 0.1428571696931863. \n",
"rechecked better distance squared from orbit of 6 to 27 is at most 2.9329328490441582e-8 old is 3.0285994281009614e-8. \n",
"rechecked better distance squared from orbit of 7 to 1 is at most 0.9657213448278102 old is 0.965750809195094. \n",
"rechecked better distance squared from orbit of 7 to 2 is at most 0.5104644523506352 old is 0.5104765336224075. \n",
"rechecked better distance squared from orbit of 7 to 3 is at most 0.6666666667343559 old is 0.6666666668821771. \n",
"rechecked better distance squared from orbit of 7 to 4 is at most 0.6666683151492309 old is 0.6666683152727878. \n",
"rechecked better distance squared from orbit of 7 to 6 is at most 0.166775285647908 old is 0.16694033793526805. \n",
"rechecked new distance squared from orbit of 7 to 7 is at most 1.7980362262226034e-13 old is 2.7682962667153666e-13. \n",
"rechecked better distance squared from orbit of 7 to 8 is at most 0.4573529554616996 old is 0.4573530652113512. \n",
"rechecked better distance squared from orbit of 7 to 9 is at most 0.7289934948036517 old is 0.731705726838949. \n",
"rechecked better distance squared from orbit of 7 to 10 is at most 0.46753680744312587 old is 0.47197405589179087. \n",
"rechecked better distance squared from orbit of 7 to 11 is at most 0.00014757610102239776 old is 0.0003164591535334058. \n",
"rechecked better distance squared from orbit of 7 to 12 is at most 0.4000067584635277 old is 0.4000273511887505. \n",
"rechecked better distance squared from orbit of 7 to 13 is at most 0.1815274277800422 old is 0.1950300971310746. \n",
"rechecked better distance squared from orbit of 7 to 14 is at most 6.455847406885758e-6 old is 1.4710941048008673e-5. \n",
"rechecked better distance squared from orbit of 7 to 15 is at most 0.3334027756334904 old is 0.33343568032807536. \n",
"rechecked better distance squared from orbit of 7 to 17 is at most 4.5249568226267144e-7 old is 1.263027595839269e-6. \n",
"rechecked better distance squared from orbit of 7 to 18 is at most 0.0040463009733342084 old is 0.010592570464317544. \n",
"rechecked better distance squared from orbit of 7 to 19 is at most 3.146354551219097e-6 old is 4.6786606460233565e-6. \n",
"rechecked better distance squared from orbit of 7 to 21 is at most 0.40000138825534476 old is 0.4000013943126086. \n",
"rechecked better distance squared from orbit of 7 to 22 is at most 8.237002389511424e-8 old is 4.0395610234185855e-7. \n",
"rechecked better distance squared from orbit of 7 to 24 is at most 0.20003012263001446 old is 0.20009785545474057. \n",
"rechecked better distance squared from orbit of 7 to 25 is at most 3.1615697406401916e-6 old is 3.161600266375427e-6. \n",
"rechecked better distance squared from orbit of 7 to 26 is at most 7.885394129427329e-7 old is 3.945052916295837e-6. \n",
"rechecked better distance squared from orbit of 7 to 27 is at most 7.432003183768931e-7 old is 9.367349159776999e-7. \n",
"rechecked better distance squared from orbit of 8 to 2 is at most 0.5000004475008849 old is 0.5000005450292522. \n",
"rechecked better distance squared from orbit of 8 to 6 is at most 0.33333338302431037 old is 0.3333334121541456. \n",
"rechecked new distance squared from orbit of 8 to 8 is at most 4.605790100790353e-13 old is 1.1343903069217088e-12. \n",
"rechecked better distance squared from orbit of 8 to 11 is at most 0.33333336266408614 old is 0.3333333773733917. \n",
"rechecked better distance squared from orbit of 8 to 13 is at most 0.1666669217670516 old is 0.16666720871693394. \n",
"rechecked better distance squared from orbit of 8 to 14 is at most 2.1432235162653193e-5 old is 2.7021844120461495e-5. \n",
"rechecked better distance squared from orbit of 8 to 17 is at most 0.32607690751765533 old is 0.3260769682961188. \n",
"rechecked better distance squared from orbit of 8 to 18 is at most 9.329262937935668e-8 old is 6.06350248588218e-7. \n",
"rechecked better distance squared from orbit of 8 to 19 is at most 5.26817781665533e-6 old is 2.5821646947793584e-5. \n",
"rechecked better distance squared from orbit of 8 to 20 is at most 1.2639781511905269e-6 old is 1.5817583094188067e-6. \n",
"rechecked better distance squared from orbit of 8 to 22 is at most 0.5000000839144878 old is 0.5000000953140501. \n",
"rechecked better distance squared from orbit of 8 to 24 is at most 0.20013566233505306 old is 0.2001419260164852. \n",
"rechecked better distance squared from orbit of 8 to 25 is at most 2.953203341918309e-7 old is 2.953228993195046e-7. \n",
"rechecked better distance squared from orbit of 8 to 26 is at most 3.5253783381994686e-5 old is 4.065639360660219e-5. \n",
"rechecked better distance squared from orbit of 8 to 27 is at most 1.091110255996825e-7 old is 1.0921697109832985e-7. \n",
"rechecked better distance squared from orbit of 9 to 2 is at most 0.5000000959847004 old is 0.50000020740378. \n",
"rechecked better distance squared from orbit of 9 to 6 is at most 0.3333334313946213 old is 0.3333335519650089. \n",
"rechecked better distance squared from orbit of 9 to 8 is at most 0.2500001323908414 old is 0.25000013397789084. \n",
"rechecked better distance squared from orbit of 9 to 10 is at most 0.33333333339794496 old is 0.33333333340210947. \n",
"rechecked better distance squared from orbit of 9 to 11 is at most 0.33333344355588934 old is 0.3333335728668139. \n",
"rechecked better distance squared from orbit of 9 to 12 is at most 2.1119642490826436e-7 old is 3.627459783330791e-7. \n",
"rechecked new distance squared from orbit of 9 to 13 is at most 5.643062922036535e-7 old is 8.205210976586141e-7. \n",
"rechecked better distance squared from orbit of 9 to 13 is at most 3.1632085539932494e-7 old is 5.643062922036535e-7. \n",
"rechecked better distance squared from orbit of 9 to 14 is at most 0.2500346115131016 old is 0.2500364793918919. \n",
"rechecked better distance squared from orbit of 9 to 15 is at most 1.045447260598514e-7 old is 1.5626980557001169e-7. \n",
"rechecked better distance squared from orbit of 9 to 17 is at most 0.3260771507762574 old is 0.32607727590922786. \n",
"rechecked better distance squared from orbit of 9 to 18 is at most 1.8593336335519942e-7 old is 8.380347914419087e-7. \n",
"rechecked better distance squared from orbit of 9 to 19 is at most 4.677850836867305e-5 old is 5.1009640556405667e-5. \n",
"rechecked better distance squared from orbit of 9 to 22 is at most 0.5000001978710288 old is 0.5000004716709037. \n",
"rechecked better distance squared from orbit of 9 to 23 is at most 1.3343401754220498e-8 old is 1.3369142430949293e-8. \n",
"rechecked better distance squared from orbit of 9 to 25 is at most 3.518330116313674e-7 old is 3.518527372864606e-7. \n",
"rechecked better distance squared from orbit of 9 to 27 is at most 1.3635722117754632e-6 old is 2.0902216184975084e-6. \n",
"rechecked better distance squared from orbit of 10 to 1 is at most 0.6666666667084995 old is 0.6666666667160943. \n",
"rechecked new distance squared from orbit of 10 to 3 is at most 0.6666666666668613 old is 0.6666666666673273. \n",
"rechecked better distance squared from orbit of 10 to 6 is at most 0.33333390002822966 old is 0.33333390969484816. \n",
"rechecked better distance squared from orbit of 10 to 8 is at most 0.4865193233763158 old is 0.48651936803288376. \n",
"rechecked better distance squared from orbit of 10 to 11 is at most 0.333334159661506 old is 0.33333418957930755. \n",
"rechecked better distance squared from orbit of 10 to 12 is at most 0.40000010404816144 old is 0.4000001041691904. \n",
"rechecked new distance squared from orbit of 10 to 13 is at most 7.765053019426896e-11 old is 1.4204618059276604e-10. \n",
"rechecked better distance squared from orbit of 10 to 13 is at most 7.233817603796804e-11 old is 7.765053019426896e-11. \n",
"rechecked better distance squared from orbit of 10 to 14 is at most 7.897488584343614e-5 old is 0.0001335380686589406. \n",
"rechecked better distance squared from orbit of 10 to 15 is at most 0.3333334868676445 old is 0.33333348706219323. \n",
"rechecked better distance squared from orbit of 10 to 17 is at most 0.3260776107211479 old is 0.32607761623778936. \n",
"rechecked better distance squared from orbit of 10 to 18 is at most 6.156253236748765e-7 old is 6.2497385953656e-7. \n",
"rechecked better distance squared from orbit of 10 to 19 is at most 9.826079534476745e-5 old is 0.00010405578206829336. \n",
"rechecked better distance squared from orbit of 10 to 20 is at most 0.0003212448822806036 old is 0.0003215790401518447. \n",
"rechecked better distance squared from orbit of 10 to 22 is at most 0.5000003718987097 old is 0.5000004029091097. \n",
"rechecked better distance squared from orbit of 10 to 24 is at most 0.20000001101836415 old is 0.20000001112810134. \n",
"rechecked better distance squared from orbit of 10 to 25 is at most 4.698873601595989e-7 old is 4.714169674554711e-7. \n",
"rechecked better distance squared from orbit of 10 to 26 is at most 1.2992302790973969e-5 old is 1.3337431663780173e-5. \n",
"rechecked better distance squared from orbit of 11 to 1 is at most 0.9656654768173633 old is 0.9656654775749461. \n",
"rechecked better distance squared from orbit of 11 to 2 is at most 0.5000000246784221 old is 0.5000000675766444. \n",
"rechecked better distance squared from orbit of 11 to 3 is at most 0.6666667175118205 old is 0.6666668021018932. \n",
"rechecked better distance squared from orbit of 11 to 4 is at most 0.6666666708948233 old is 0.6666666714253566. \n",
"rechecked better distance squared from orbit of 11 to 5 is at most 0.5000000005319053 old is 0.5000000067626225. \n",
"rechecked better distance squared from orbit of 11 to 7 is at most 0.5000022719939625 old is 0.5000027589764414. \n",
"rechecked better distance squared from orbit of 11 to 9 is at most 0.7268408485272501 old is 0.7268409429801785. \n",
"rechecked better distance squared from orbit of 11 to 10 is at most 0.4607847283463777 old is 0.460784766899273. \n",
"rechecked better distance squared from orbit of 11 to 12 is at most 0.4000000010565354 old is 0.40000001924218953. \n",
"rechecked better distance squared from orbit of 11 to 13 is at most 0.16666671778728231 old is 0.16666679187421402. \n",
"rechecked better distance squared from orbit of 11 to 14 is at most 0.35238046653798444 old is 0.3523805396127157. \n",
"rechecked better distance squared from orbit of 11 to 15 is at most 0.5000000004650971 old is 0.5000000009940508. \n",
"rechecked better distance squared from orbit of 11 to 16 is at most 0.4000000036172602 old is 0.4000000832701194. \n",
"rechecked better distance squared from orbit of 11 to 17 is at most 9.68401850109104e-7 old is 1.1476213308831052e-6. \n",
"rechecked better distance squared from orbit of 11 to 18 is at most 5.399713188097772e-8 old is 3.1807084935053145e-7. \n",
"rechecked better distance squared from orbit of 11 to 19 is at most 0.1428575735359527 old is 0.14285764945558704. \n",
"rechecked new distance squared from orbit of 11 to 20 is at most 7.530835278656881e-7 old is 1.3610424828204714e-6. \n",
"rechecked better distance squared from orbit of 11 to 20 is at most 6.088521590462608e-7 old is 7.530835278656881e-7. \n",
"rechecked better distance squared from orbit of 11 to 21 is at most 0.40000000320409435 old is 0.4000000108851653. \n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"rechecked better distance squared from orbit of 11 to 22 is at most 2.0415412651758296e-6 old is 1.235564730351733e-5. \n",
"rechecked better distance squared from orbit of 11 to 23 is at most 0.166666677469554 old is 0.16666675155217792. \n",
"rechecked better distance squared from orbit of 11 to 26 is at most 0.14285714557043194 old is 0.1428571562857499. \n",
"rechecked better distance squared from orbit of 11 to 27 is at most 5.8374675951773705e-9 old is 2.4085920933492915e-8. \n",
"rechecked better distance squared from orbit of 12 to 6 is at most 0.33333369953695485 old is 0.3333338359033596. \n",
"rechecked better distance squared from orbit of 12 to 8 is at most 0.2500001310520578 old is 0.2500001573519962. \n",
"rechecked better distance squared from orbit of 12 to 11 is at most 0.33333359825237874 old is 0.33333390787683137. \n",
"rechecked better distance squared from orbit of 12 to 13 is at most 0.1666667317070736 old is 0.16666685980954538. \n",
"rechecked better distance squared from orbit of 12 to 14 is at most 0.2500249583120809 old is 0.2500423638177051. \n",
"rechecked better distance squared from orbit of 12 to 15 is at most 0.2500000909989846 old is 0.2500001084284096. \n",
"rechecked better distance squared from orbit of 12 to 17 is at most 0.3260770529754658 old is 0.3260776262585117. \n",
"rechecked better distance squared from orbit of 12 to 18 is at most 2.3889869873413335e-7 old is 9.84594644457221e-7. \n",
"rechecked better distance squared from orbit of 12 to 19 is at most 4.332661331130642e-5 old is 6.792441490591883e-5. \n",
"rechecked better distance squared from orbit of 12 to 20 is at most 0.00028268636876854417 old is 0.00030689558663228345. \n",
"rechecked better distance squared from orbit of 12 to 22 is at most 0.5000003429545988 old is 0.5000004393227095. \n",
"rechecked better distance squared from orbit of 12 to 24 is at most 0.20058993980318904 old is 0.20068539256248133. \n",
"rechecked better distance squared from orbit of 12 to 25 is at most 3.288845820157399e-8 old is 8.559533468642625e-8. \n",
"rechecked better distance squared from orbit of 12 to 26 is at most 0.00011187682333367387 old is 0.00017821694368675138. \n",
"rechecked better distance squared from orbit of 12 to 27 is at most 8.87983969669861e-7 old is 9.635940918830785e-7. \n",
"rechecked new distance squared from orbit of 13 to 4 is at most 0.6273220037501215 old is 0.6273220037501249. \n",
"rechecked better distance squared from orbit of 13 to 6 is at most 0.3333335900903462 old is 0.3333335996964774. \n",
"rechecked better distance squared from orbit of 13 to 8 is at most 0.4865193506704366 old is 0.48651951039500657. \n",
"rechecked better distance squared from orbit of 13 to 11 is at most 0.33333353299084656 old is 0.33333353406707567. \n",
"rechecked better distance squared from orbit of 13 to 12 is at most 0.40000009795146985 old is 0.40000010433417926. \n",
"rechecked better distance squared from orbit of 13 to 14 is at most 0.250030165099871 old is 0.2500337879511011. \n",
"rechecked better distance squared from orbit of 13 to 15 is at most 0.3333334368174438 old is 0.33333349125856765. \n",
"rechecked better distance squared from orbit of 13 to 17 is at most 0.3260771010746663 old is 0.32607710170643484. \n",
"rechecked better distance squared from orbit of 13 to 18 is at most 4.982223443887015e-7 old is 6.70577031519286e-7. \n",
"rechecked better distance squared from orbit of 13 to 19 is at most 8.547603329365403e-5 old is 0.00013169016679439327. \n",
"rechecked better distance squared from orbit of 13 to 20 is at most 0.00033077099973391645 old is 0.0003309244455305999. \n",
"rechecked better distance squared from orbit of 13 to 21 is at most 0.20000000139296326 old is 0.20000000147282754. \n",
"rechecked better distance squared from orbit of 13 to 22 is at most 0.5000002532079619 old is 0.500000255106739. \n",
"rechecked better distance squared from orbit of 13 to 23 is at most 2.8547248059946984e-9 old is 3.613115657003716e-9. \n",
"rechecked better distance squared from orbit of 13 to 24 is at most 0.2000000666145442 old is 0.20000008120173104. \n",
"rechecked better distance squared from orbit of 13 to 25 is at most 4.105964711556116e-7 old is 4.825120953945364e-7. \n",
"rechecked better distance squared from orbit of 13 to 26 is at most 9.94358309095874e-6 old is 1.1454464931328675e-5. \n",
"rechecked better distance squared from orbit of 14 to 1 is at most 0.9656654931288748 old is 0.965665609134506. \n",
"rechecked better distance squared from orbit of 14 to 2 is at most 0.5000000280227 old is 0.5000000308592726. \n",
"rechecked better distance squared from orbit of 14 to 4 is at most 0.6666666728848536 old is 0.6666666730347803. \n",
"rechecked better distance squared from orbit of 14 to 5 is at most 0.7500001362792383 old is 0.7500002842699722. \n",
"rechecked better distance squared from orbit of 14 to 6 is at most 0.33333345048235136 old is 0.3333335823463945. \n",
"rechecked better distance squared from orbit of 14 to 8 is at most 0.48652168448562644 old is 0.4865347778025396. \n",
"rechecked better distance squared from orbit of 14 to 9 is at most 0.726840811216165 old is 0.7268408375253317. \n",
"rechecked better distance squared from orbit of 14 to 10 is at most 0.4607847322843414 old is 0.4607847497730677. \n",
"rechecked better distance squared from orbit of 14 to 11 is at most 0.3333334332059733 old is 0.333333977708501. \n",
"rechecked better distance squared from orbit of 14 to 12 is at most 0.40000008901306305 old is 0.4000000917745049. \n",
"rechecked better distance squared from orbit of 14 to 13 is at most 0.16666667890877537 old is 0.16666670501096717. \n",
"rechecked better distance squared from orbit of 14 to 15 is at most 0.3333339261370917 old is 0.33333423854668864. \n",
"rechecked better distance squared from orbit of 14 to 17 is at most 0.3260772897337687 old is 0.3260774909408134. \n",
"rechecked better distance squared from orbit of 14 to 18 is at most 6.385757853854215e-7 old is 8.589828039503053e-7. \n",
"rechecked better distance squared from orbit of 14 to 19 is at most 1.8151616060839324e-7 old is 7.23677262424707e-7. \n",
"rechecked better distance squared from orbit of 14 to 20 is at most 8.671092520614462e-7 old is 9.70363462246461e-7. \n",
"rechecked better distance squared from orbit of 14 to 22 is at most 0.500000034906428 old is 0.5000003481361103. \n",
"rechecked better distance squared from orbit of 14 to 23 is at most 0.16666673351071712 old is 0.16666691853069346. \n",
"rechecked better distance squared from orbit of 14 to 24 is at most 0.20000017788120608 old is 0.2000008470764712. \n",
"rechecked better distance squared from orbit of 14 to 25 is at most 2.7580270468549112e-8 old is 2.78612801023391e-8. \n",
"rechecked better distance squared from orbit of 14 to 26 is at most 3.414246390164187e-7 old is 6.606043966159685e-7. \n",
"rechecked better distance squared from orbit of 15 to 6 is at most 0.500000218791593 old is 0.500000289568463. \n",
"rechecked better distance squared from orbit of 15 to 7 is at most 0.6606500537073193 old is 0.6606500560504187. \n",
"rechecked better distance squared from orbit of 15 to 11 is at most 0.4587342867839139 old is 0.45873430780087243. \n",
"rechecked better distance squared from orbit of 15 to 14 is at most 0.25003096158989113 old is 0.2500408702528596. \n",
"rechecked better distance squared from orbit of 15 to 17 is at most 0.4149976165047326 old is 0.41499770085894705. \n",
"rechecked better distance squared from orbit of 15 to 19 is at most 6.712588750279206e-5 old is 8.896104882139321e-5. \n",
"rechecked better distance squared from orbit of 15 to 20 is at most 3.82322577213619e-7 old is 6.453630671211461e-7. \n",
"rechecked better distance squared from orbit of 15 to 22 is at most 0.6752405698714656 old is 0.6752407509666554. \n",
"rechecked better distance squared from orbit of 15 to 23 is at most 0.16666679200417564 old is 0.16666689102718332. \n",
"rechecked better distance squared from orbit of 15 to 25 is at most 1.789803145677555e-6 old is 2.5452125986484096e-6. \n",
"rechecked better distance squared from orbit of 15 to 26 is at most 7.693171291891994e-6 old is 2.3173895817376563e-5. \n",
"rechecked better distance squared from orbit of 15 to 27 is at most 2.0293834941342342e-7 old is 2.0640578253098235e-7. \n",
"rechecked better distance squared from orbit of 16 to 6 is at most 0.6666667998910412 old is 0.6666668682281917. \n",
"rechecked better distance squared from orbit of 16 to 7 is at most 0.5000001108490579 old is 0.5000001118341932. \n",
"rechecked better distance squared from orbit of 16 to 11 is at most 0.37500047138930864 old is 0.375000510093986. \n",
"rechecked better distance squared from orbit of 16 to 20 is at most 0.3333334186510599 old is 0.3333334666625278. \n",
"rechecked better distance squared from orbit of 16 to 22 is at most 4.4020751687599553e-7 old is 6.371313431564292e-7. \n",
"rechecked better distance squared from orbit of 16 to 25 is at most 0.5000008152119811 old is 0.5000008963508851. \n",
"rechecked better distance squared from orbit of 16 to 26 is at most 0.14285717961628983 old is 0.14285720517019726. \n",
"rechecked better distance squared from orbit of 16 to 27 is at most 2.321008601784854e-6 old is 2.321057655045171e-6. \n",
"rechecked better distance squared from orbit of 17 to 4 is at most 0.6666669206617324 old is 0.6666678300960925. \n",
"rechecked better distance squared from orbit of 17 to 5 is at most 0.5000000003010934 old is 0.500000000567791. \n",
"rechecked better distance squared from orbit of 17 to 7 is at most 0.5000000274414701 old is 0.5000000640379387. \n",
"rechecked better distance squared from orbit of 17 to 8 is at most 0.5000000134914658 old is 0.5000001822252076. \n",
"rechecked better distance squared from orbit of 17 to 9 is at most 0.7500001553091378 old is 0.7500001662089897. \n",
"rechecked better distance squared from orbit of 17 to 10 is at most 0.7275539835973349 old is 0.7275542039827162. \n",
"rechecked better distance squared from orbit of 17 to 12 is at most 0.5000004847257982 old is 0.5000008406002721. \n",
"rechecked better distance squared from orbit of 17 to 15 is at most 0.5833334002971672 old is 0.5833334029735991. \n",
"rechecked better distance squared from orbit of 17 to 16 is at most 0.4000000010856813 old is 0.4000000064121565. \n",
"rechecked better distance squared from orbit of 17 to 19 is at most 0.14286200432487628 old is 0.14286252357548077. \n",
"rechecked better distance squared from orbit of 17 to 20 is at most 2.696387494458071e-6 old is 6.397895702854957e-6. \n",
"rechecked better distance squared from orbit of 17 to 21 is at most 0.40000018780235763 old is 0.4000002160437883. \n",
"rechecked better distance squared from orbit of 17 to 22 is at most 4.532257240262915e-7 old is 9.750836732961828e-7. \n",
"rechecked better distance squared from orbit of 17 to 23 is at most 0.16666697262058824 old is 0.16666729282721915. \n",
"rechecked better distance squared from orbit of 17 to 24 is at most 0.4000000672297623 old is 0.4000000712507751. \n",
"rechecked better distance squared from orbit of 17 to 25 is at most 2.800372403173916e-7 old is 1.7858696746781515e-6. \n",
"rechecked better distance squared from orbit of 17 to 26 is at most 0.14285723990689905 old is 0.1428573840705767. \n",
"rechecked better distance squared from orbit of 17 to 27 is at most 2.7635072886104213e-7 old is 3.78833898929077e-7. \n",
"rechecked better distance squared from orbit of 18 to 4 is at most 0.666666670606042 old is 0.6666666706541337. \n",
"rechecked better distance squared from orbit of 18 to 8 is at most 0.5000006794797461 old is 0.5000009538810276. \n",
"rechecked better distance squared from orbit of 18 to 19 is at most 0.1428602294176253 old is 0.142860280597937. \n",
"rechecked better distance squared from orbit of 18 to 20 is at most 1.0340022678018923e-5 old is 1.1327787210726066e-5. \n",
"rechecked better distance squared from orbit of 18 to 23 is at most 0.16666666960210222 old is 0.16666666960961546. \n",
"rechecked better distance squared from orbit of 18 to 24 is at most 0.4000000655453388 old is 0.4000000659150651. \n",
"rechecked better distance squared from orbit of 18 to 25 is at most 2.2218616339020502e-8 old is 2.2542424581964638e-8. \n",
"rechecked better distance squared from orbit of 19 to 1 is at most 0.9656654763774245 old is 0.9656654787732917. \n",
"rechecked better distance squared from orbit of 19 to 2 is at most 0.76922