matrix {{(p_1+p_2+p_3+p_4)*l_(1,1)*l_(2,1)*l_(3,1)*l_(4,1)*l_(5,1)}, {0}, {0}, {0}, {0}, {((p_1+p_2+p_3+p_4)/(p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4))*l_(1,1)*l_(2,1)*l_(3,2)*l_(4,2)*l_(5,1)}, {0}, {0}, {0}, {0}, {((p_3+p_4)/(p_3*p_4))*l_(1,1)*l_(2,1)*l_(3,3)*l_(4,3)*l_(5,1)}, {0}, {0}, {0}, {0}, {((p_1+p_2)/(p_1*p_2))*l_(1,1)*l_(2,1)*l_(3,4)*l_(4,4)*l_(5,1)}, {0}, {((p_1+p_2+p_3+p_4)/(p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4))*l_(1,1)*l_(2,2)*l_(3,1)*l_(4,2)*l_(5,2)}, {0}, {0}, {((p_1+p_2+p_3+p_4)/(p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4))*l_(1,1)*l_(2,2)*l_(3,2)*l_(4,1)*l_(5,2)}, {((-p_1^2-2*p_1*p_2-p_2^2+p_3^2+2*p_3*p_4+p_4^2)/(p_1^2*p_3^2+2*p_1*p_2*p_3^2+p_2^2*p_3^2+2*p_1^2*p_3*p_4+4*p_1*p_2*p_3*p_4+2*p_2^2*p_3*p_4+p_1^2*p_4^2+2*p_1*p_2*p_4^2+p_2^2*p_4^2))*l_(1,1)*l_(2,2)*l_(3,2)*l_(4,2)*l_(5,2)}, {0}, {0}, {0}, {0}, {((-1)/(p_3*p_4))*l_(1,1)*l_(2,2)*l_(3,3)*l_(4,3)*l_(5,2)}, {0}, {0}, {0}, {0}, {(1/(p_1*p_2))*l_(1,1)*l_(2,2)*l_(3,4)*l_(4,4)*l_(5,2)}, {0}, {0}, {((p_3+p_4)/(p_3*p_4))*l_(1,1)*l_(2,3)*l_(3,1)*l_(4,3)*l_(5,3)}, {0}, {0}, {0}, {((-1)/(p_3*p_4))*l_(1,1)*l_(2,3)*l_(3,2)*l_(4,3)*l_(5,3)}, {0}, {((p_3+p_4)/(p_3*p_4))*l_(1,1)*l_(2,3)*l_(3,3)*l_(4,1)*l_(5,3)}, {((-1)/(p_3*p_4))*l_(1,1)*l_(2,3)*l_(3,3)*l_(4,2)*l_(5,3)}, {((-p_3^2+p_4^2)/(p_3^2*p_4^2))*l_(1,1)*l_(2,3)*l_(3,3)*l_(4,3)*l_(5,3)}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {((p_1+p_2)/(p_1*p_2))*l_(1,1)*l_(2,4)*l_(3,1)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {(1/(p_1*p_2))*l_(1,1)*l_(2,4)*l_(3,2)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {0}, {((p_1+p_2)/(p_1*p_2))*l_(1,1)*l_(2,4)*l_(3,4)*l_(4,1)*l_(5,4)}, {(1/(p_1*p_2))*l_(1,1)*l_(2,4)*l_(3,4)*l_(4,2)*l_(5,4)}, {0}, {((-p_1^2+p_2^2)/(p_1^2*p_2^2))*l_(1,1)*l_(2,4)*l_(3,4)*l_(4,4)*l_(5,4)}, {0}, {((p_1+p_2+p_3+p_4)/(p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4))*l_(1,2)*l_(2,1)*l_(3,1)*l_(4,2)*l_(5,2)}, {0}, {0}, {((p_1+p_2+p_3+p_4)/(p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4))*l_(1,2)*l_(2,1)*l_(3,2)*l_(4,1)*l_(5,2)}, {((-p_1^2-2*p_1*p_2-p_2^2+p_3^2+2*p_3*p_4+p_4^2)/(p_1^2*p_3^2+2*p_1*p_2*p_3^2+p_2^2*p_3^2+2*p_1^2*p_3*p_4+4*p_1*p_2*p_3*p_4+2*p_2^2*p_3*p_4+p_1^2*p_4^2+2*p_1*p_2*p_4^2+p_2^2*p_4^2))*l_(1,2)*l_(2,1)*l_(3,2)*l_(4,2)*l_(5,2)}, {0}, {0}, {0}, {0}, {((-1)/(p_3*p_4))*l_(1,2)*l_(2,1)*l_(3,3)*l_(4,3)*l_(5,2)}, {0}, {0}, {0}, {0}, {(1/(p_1*p_2))*l_(1,2)*l_(2,1)*l_(3,4)*l_(4,4)*l_(5,2)}, {((p_1+p_2+p_3+p_4)/(p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4))*l_(1,2)*l_(2,2)*l_(3,1)*l_(4,1)*l_(5,1)}, {((-p_1^2-2*p_1*p_2-p_2^2+p_3^2+2*p_3*p_4+p_4^2)/(p_1^2*p_3^2+2*p_1*p_2*p_3^2+p_2^2*p_3^2+2*p_1^2*p_3*p_4+4*p_1*p_2*p_3*p_4+2*p_2^2*p_3*p_4+p_1^2*p_4^2+2*p_1*p_2*p_4^2+p_2^2*p_4^2))*l_(1,2)*l_(2,2)*l_(3,1)*l_(4,2)*l_(5,2)}, {0}, {0}, {((-p_1^2-2*p_1*p_2-p_2^2+p_3^2+2*p_3*p_4+p_4^2)/(p_1^2*p_3^2+2*p_1*p_2*p_3^2+p_2^2*p_3^2+2*p_1^2*p_3*p_4+4*p_1*p_2*p_3*p_4+2*p_2^2*p_3*p_4+p_1^2*p_4^2+2*p_1*p_2*p_4^2+p_2^2*p_4^2))*l_(1,2)*l_(2,2)*l_(3,2)*l_(4,1)*l_(5,2)}, {((p_1+p_2+p_3+p_4)/(p_1^2*p_3^2+2*p_1*p_2*p_3^2+p_2^2*p_3^2+2*p_1^2*p_3*p_4+4*p_1*p_2*p_3*p_4+2*p_2^2*p_3*p_4+p_1^2*p_4^2+2*p_1*p_2*p_4^2+p_2^2*p_4^2))*l_(1,2)*l_(2,2)*l_(3,2)*l_(4,2)*l_(5,1)+((p_1^3+3*p_1^2*p_2+3*p_1*p_2^2+p_2^3-p_1^2*p_3-2*p_1*p_2*p_3-p_2^2*p_3-p_1*p_3^2-p_2*p_3^2+p_3^3-p_1^2*p_4-2*p_1*p_2*p_4-p_2^2*p_4-2*p_1*p_3*p_4-2*p_2*p_3*p_4+3*p_3^2*p_4-p_1*p_4^2-p_2*p_4^2+3*p_3*p_4^2+p_4^3)/(p_1^3*p_3^3+3*p_1^2*p_2*p_3^3+3*p_1*p_2^2*p_3^3+p_2^3*p_3^3+3*p_1^3*p_3^2*p_4+9*p_1^2*p_2*p_3^2*p_4+9*p_1*p_2^2*p_3^2*p_4+3*p_2^3*p_3^2*p_4+3*p_1^3*p_3*p_4^2+9*p_1^2*p_2*p_3*p_4^2+9*p_1*p_2^2*p_3*p_4^2+3*p_2^3*p_3*p_4^2+p_1^3*p_4^3+3*p_1^2*p_2*p_4^3+3*p_1*p_2^2*p_4^3+p_2^3*p_4^3))*l_(1,2)*l_(2,2)*l_(3,2)*l_(4,2)*l_(5,2)}, {0}, {0}, {0}, {0}, {(1/(p_1*p_3*p_4+p_2*p_3*p_4))*l_(1,2)*l_(2,2)*l_(3,3)*l_(4,3)*l_(5,1)+((p_1+p_2-p_3-p_4)/(p_1*p_3^2*p_4+p_2*p_3^2*p_4+p_1*p_3*p_4^2+p_2*p_3*p_4^2))*l_(1,2)*l_(2,2)*l_(3,3)*l_(4,3)*l_(5,2)}, {0}, {0}, {0}, {0}, {(1/(p_1*p_2*p_3+p_1*p_2*p_4))*l_(1,2)*l_(2,2)*l_(3,4)*l_(4,4)*l_(5,1)+((-p_1-p_2+p_3+p_4)/(p_1^2*p_2*p_3+p_1*p_2^2*p_3+p_1^2*p_2*p_4+p_1*p_2^2*p_4))*l_(1,2)*l_(2,2)*l_(3,4)*l_(4,4)*l_(5,2)}, {0}, {0}, {((-1)/(p_3*p_4))*l_(1,2)*l_(2,3)*l_(3,1)*l_(4,3)*l_(5,3)}, {0}, {0}, {0}, {(1/(p_3^2*p_4+p_3*p_4^2))*l_(1,2)*l_(2,3)*l_(3,2)*l_(4,3)*l_(5,3)}, {0}, {((-1)/(p_3*p_4))*l_(1,2)*l_(2,3)*l_(3,3)*l_(4,1)*l_(5,3)}, {(1/(p_3^2*p_4+p_3*p_4^2))*l_(1,2)*l_(2,3)*l_(3,3)*l_(4,2)*l_(5,3)}, {((p_3-p_4)/(p_3^2*p_4^2))*l_(1,2)*l_(2,3)*l_(3,3)*l_(4,3)*l_(5,3)}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {(1/(p_1*p_2))*l_(1,2)*l_(2,4)*l_(3,1)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {(1/(p_1^2*p_2+p_1*p_2^2))*l_(1,2)*l_(2,4)*l_(3,2)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {0}, {(1/(p_1*p_2))*l_(1,2)*l_(2,4)*l_(3,4)*l_(4,1)*l_(5,4)}, {(1/(p_1^2*p_2+p_1*p_2^2))*l_(1,2)*l_(2,4)*l_(3,4)*l_(4,2)*l_(5,4)}, {0}, {((-p_1+p_2)/(p_1^2*p_2^2))*l_(1,2)*l_(2,4)*l_(3,4)*l_(4,4)*l_(5,4)}, {0}, {0}, {((p_3+p_4)/(p_3*p_4))*l_(1,3)*l_(2,1)*l_(3,1)*l_(4,3)*l_(5,3)}, {0}, {0}, {0}, {((-1)/(p_3*p_4))*l_(1,3)*l_(2,1)*l_(3,2)*l_(4,3)*l_(5,3)}, {0}, {((p_3+p_4)/(p_3*p_4))*l_(1,3)*l_(2,1)*l_(3,3)*l_(4,1)*l_(5,3)}, {((-1)/(p_3*p_4))*l_(1,3)*l_(2,1)*l_(3,3)*l_(4,2)*l_(5,3)}, {((-p_3^2+p_4^2)/(p_3^2*p_4^2))*l_(1,3)*l_(2,1)*l_(3,3)*l_(4,3)*l_(5,3)}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {((-1)/(p_3*p_4))*l_(1,3)*l_(2,2)*l_(3,1)*l_(4,3)*l_(5,3)}, {0}, {0}, {0}, {(1/(p_3^2*p_4+p_3*p_4^2))*l_(1,3)*l_(2,2)*l_(3,2)*l_(4,3)*l_(5,3)}, {0}, {((-1)/(p_3*p_4))*l_(1,3)*l_(2,2)*l_(3,3)*l_(4,1)*l_(5,3)}, {(1/(p_3^2*p_4+p_3*p_4^2))*l_(1,3)*l_(2,2)*l_(3,3)*l_(4,2)*l_(5,3)}, {((p_3-p_4)/(p_3^2*p_4^2))*l_(1,3)*l_(2,2)*l_(3,3)*l_(4,3)*l_(5,3)}, {0}, {0}, {0}, {0}, {0}, {((p_3+p_4)/(p_3*p_4))*l_(1,3)*l_(2,3)*l_(3,1)*l_(4,1)*l_(5,1)}, {((-1)/(p_3*p_4))*l_(1,3)*l_(2,3)*l_(3,1)*l_(4,2)*l_(5,2)}, {((-p_3^2+p_4^2)/(p_3^2*p_4^2))*l_(1,3)*l_(2,3)*l_(3,1)*l_(4,3)*l_(5,3)}, {0}, {((-1)/(p_3*p_4))*l_(1,3)*l_(2,3)*l_(3,2)*l_(4,1)*l_(5,2)}, {(1/(p_1*p_3*p_4+p_2*p_3*p_4))*l_(1,3)*l_(2,3)*l_(3,2)*l_(4,2)*l_(5,1)+((p_1+p_2-p_3-p_4)/(p_1*p_3^2*p_4+p_2*p_3^2*p_4+p_1*p_3*p_4^2+p_2*p_3*p_4^2))*l_(1,3)*l_(2,3)*l_(3,2)*l_(4,2)*l_(5,2)}, {((p_3-p_4)/(p_3^2*p_4^2))*l_(1,3)*l_(2,3)*l_(3,2)*l_(4,3)*l_(5,3)}, {0}, {((-p_3^2+p_4^2)/(p_3^2*p_4^2))*l_(1,3)*l_(2,3)*l_(3,3)*l_(4,1)*l_(5,3)}, {((p_3-p_4)/(p_3^2*p_4^2))*l_(1,3)*l_(2,3)*l_(3,3)*l_(4,2)*l_(5,3)}, {((p_3^2+2*p_3*p_4+p_4^2)/(p_1*p_3^2*p_4^2+p_2*p_3^2*p_4^2+p_3^3*p_4^2+p_3^2*p_4^3))*l_(1,3)*l_(2,3)*l_(3,3)*l_(4,3)*l_(5,1)+((p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4)/(p_1*p_3^2*p_4^2+p_2*p_3^2*p_4^2+p_3^3*p_4^2+p_3^2*p_4^3))*l_(1,3)*l_(2,3)*l_(3,3)*l_(4,3)*l_(5,2)+((p_3^3-p_3^2*p_4-p_3*p_4^2+p_4^3)/(p_3^3*p_4^3))*l_(1,3)*l_(2,3)*l_(3,3)*l_(4,3)*l_(5,3)}, {0}, {0}, {0}, {0}, {((p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4)/(p_1^2*p_2*p_3*p_4+p_1*p_2^2*p_3*p_4+p_1*p_2*p_3^2*p_4+p_1*p_2*p_3*p_4^2))*l_(1,3)*l_(2,3)*l_(3,4)*l_(4,4)*l_(5,1)+((-p_1*p_3-p_2*p_3-p_1*p_4-p_2*p_4)/(p_1^2*p_2*p_3*p_4+p_1*p_2^2*p_3*p_4+p_1*p_2*p_3^2*p_4+p_1*p_2*p_3*p_4^2))*l_(1,3)*l_(2,3)*l_(3,4)*l_(4,4)*l_(5,2)}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {((p_1+p_2)/(p_1*p_2))*l_(1,4)*l_(2,1)*l_(3,1)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {(1/(p_1*p_2))*l_(1,4)*l_(2,1)*l_(3,2)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {0}, {((p_1+p_2)/(p_1*p_2))*l_(1,4)*l_(2,1)*l_(3,4)*l_(4,1)*l_(5,4)}, {(1/(p_1*p_2))*l_(1,4)*l_(2,1)*l_(3,4)*l_(4,2)*l_(5,4)}, {0}, {((-p_1^2+p_2^2)/(p_1^2*p_2^2))*l_(1,4)*l_(2,1)*l_(3,4)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {(1/(p_1*p_2))*l_(1,4)*l_(2,2)*l_(3,1)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {(1/(p_1^2*p_2+p_1*p_2^2))*l_(1,4)*l_(2,2)*l_(3,2)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {0}, {(1/(p_1*p_2))*l_(1,4)*l_(2,2)*l_(3,4)*l_(4,1)*l_(5,4)}, {(1/(p_1^2*p_2+p_1*p_2^2))*l_(1,4)*l_(2,2)*l_(3,4)*l_(4,2)*l_(5,4)}, {0}, {((-p_1+p_2)/(p_1^2*p_2^2))*l_(1,4)*l_(2,2)*l_(3,4)*l_(4,4)*l_(5,4)}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {0}, {((p_1+p_2)/(p_1*p_2))*l_(1,4)*l_(2,4)*l_(3,1)*l_(4,1)*l_(5,1)}, {(1/(p_1*p_2))*l_(1,4)*l_(2,4)*l_(3,1)*l_(4,2)*l_(5,2)}, {0}, {((-p_1^2+p_2^2)/(p_1^2*p_2^2))*l_(1,4)*l_(2,4)*l_(3,1)*l_(4,4)*l_(5,4)}, {(1/(p_1*p_2))*l_(1,4)*l_(2,4)*l_(3,2)*l_(4,1)*l_(5,2)}, {(1/(p_1*p_2*p_3+p_1*p_2*p_4))*l_(1,4)*l_(2,4)*l_(3,2)*l_(4,2)*l_(5,1)+((-p_1-p_2+p_3+p_4)/(p_1^2*p_2*p_3+p_1*p_2^2*p_3+p_1^2*p_2*p_4+p_1*p_2^2*p_4))*l_(1,4)*l_(2,4)*l_(3,2)*l_(4,2)*l_(5,2)}, {0}, {((-p_1+p_2)/(p_1^2*p_2^2))*l_(1,4)*l_(2,4)*l_(3,2)*l_(4,4)*l_(5,4)}, {0}, {0}, {((p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4)/(p_1^2*p_2*p_3*p_4+p_1*p_2^2*p_3*p_4+p_1*p_2*p_3^2*p_4+p_1*p_2*p_3*p_4^2))*l_(1,4)*l_(2,4)*l_(3,3)*l_(4,3)*l_(5,1)+((-p_1*p_3-p_2*p_3-p_1*p_4-p_2*p_4)/(p_1^2*p_2*p_3*p_4+p_1*p_2^2*p_3*p_4+p_1*p_2*p_3^2*p_4+p_1*p_2*p_3*p_4^2))*l_(1,4)*l_(2,4)*l_(3,3)*l_(4,3)*l_(5,2)}, {0}, {((-p_1^2+p_2^2)/(p_1^2*p_2^2))*l_(1,4)*l_(2,4)*l_(3,4)*l_(4,1)*l_(5,4)}, {((-p_1+p_2)/(p_1^2*p_2^2))*l_(1,4)*l_(2,4)*l_(3,4)*l_(4,2)*l_(5,4)}, {0}, {((p_1^2+2*p_1*p_2+p_2^2)/(p_1^3*p_2^2+p_1^2*p_2^3+p_1^2*p_2^2*p_3+p_1^2*p_2^2*p_4))*l_(1,4)*l_(2,4)*l_(3,4)*l_(4,4)*l_(5,1)+((p_1*p_3+p_2*p_3+p_1*p_4+p_2*p_4)/(p_1^3*p_2^2+p_1^2*p_2^3+p_1^2*p_2^2*p_3+p_1^2*p_2^2*p_4))*l_(1,4)*l_(2,4)*l_(3,4)*l_(4,4)*l_(5,2)+((p_1^3-p_1^2*p_2-p_1*p_2^2+p_2^3)/(p_1^3*p_2^3))*l_(1,4)*l_(2,4)*l_(3,4)*l_(4,4)*l_(5,4)}}