Files of Maple
30
> Typesetting[delayDotProduct](Permanent, Matrix(6, 6, {(1, 1) = .8, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (2, 1) = 2, (2, 2) = .6, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .6, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .2, (4, 5) = 0, (4, 6) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .2, (5, 6) = 1, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = .8}), true); %; Error, (in rtable/Product) invalid input: LinearAlgebra:-LA_Main:- Multiply expects its 1st argument, MV1, to be of type {Matrix, Vector, scalar}, but received LinearAlgebra:-Permanent > with(linalg); > Typesetting[delayDotProduct](Permanent, Matrix(6, 6, {(1, 1) = .8, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (2, 1) = 2, (2, 2) = .6, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .6, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .2, (4, 5) = 0, (4, 6) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .2, (5, 6) = 1, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = .8}), true); Error, (in rtable/Product) invalid input: LinearAlgebra:-LA_Main:- Multiply expects its 1st argument, MV1, to be of type {Matrix, Vector, scalar}, but received LinearAlgebra:-Permanent > > A := Matrix(6, 6, {(1, 1) = .8, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (2, 1) = 2, (2, 2) = .6, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .6, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .2, (4, 5) = 0, (4, 6) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .2, (5, 6) = 1, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = .8}); A:=Matrix(%id = 153467868)
description
maple
Transcript of Files of Maple
> Typesetting[delayDotProduct](Permanent, Matrix(6, 6, {(1, 1) = .8, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (2, 1) = 2, (2, 2) = .6, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .6, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .2, (4, 5) = 0, (4, 6) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .2, (5, 6) = 1, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = .8}), true);%;Error, (in rtable/Product) invalid input: LinearAlgebra:-LA_Main:-Multiply expects its 1st argument, MV1, to be of type {Matrix, Vector, scalar}, but received LinearAlgebra:-Permanent> with(linalg);> Typesetting[delayDotProduct](Permanent, Matrix(6, 6, {(1, 1) = .8, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (2, 1) = 2, (2, 2) = .6, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .6, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .2, (4, 5) = 0, (4, 6) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .2, (5, 6) = 1, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = .8}), true);Error, (in rtable/Product) invalid input: LinearAlgebra:-LA_Main:-Multiply expects its 1st argument, MV1, to be of type {Matrix, Vector, scalar}, but received LinearAlgebra:-Permanent> > A := Matrix(6, 6, {(1, 1) = .8, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (2, 1) = 2, (2, 2) = .6, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .6, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .2, (4, 5) = 0, (4, 6) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .2, (5, 6) = 1, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = .8}); A:=Matrix(%id = 153467868)> permanent(A); permanentApplyFunction(Matrix(%id = 172936632))> B := Matrix(6, 6, {(1, 1) = 1, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (2, 1) = 2, (2, 2) = 1, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = 1, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = 1, (4, 5) = 0, (4, 6) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = 1, (5, 6) = 1, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1}); B:=Matrix(%id = 172936868)> permanent(B); 716> NULL;> NULL;> NULL;> #;> with(linalg);> M := Matrix(7, 7, {(1, 1) = R[1], (1, 2) = f[1, 2], (1, 3) = f[1, 3], (1, 4) = m[1, 4], (1, 5) = m[1, 5], (1, 6) = m[1, 6], (1, 7) = m[1, 7], (2, 1) = m[2, 1], (2, 2) = R[2], (2, 3) = m[2, 3], (2, 4) = m[2, 4], (2, 5) = m[2, 5], (2, 6) = m[2, 6], (2, 7) = m[2, 7], (3, 1) = m[3, 1], (3, 2) = m[3, 2], (3, 3) = R[3], (3, 4) = m[3, 4], (3, 5) = m[3, 5], (3, 6) = m[3, 6], (3, 7) = m[3, 7], (4, 1) = m[4, 1], (4, 2) = m[4, 2], (4, 3) = m[4, 3], (4, 4) = R[4], (4, 5) = m[4, 5], (4, 6) = m[4, 6], (4, 7) = m[4, 7], (5, 1) = m[5, 1], (5, 2) = m[5, 2], (5, 3) = m[5, 3], (5, 4) = m[5, 4], (5, 5) = R[5], (5, 6) = m[5, 6], (5, 7) = m[5, 7], (6, 1) = m[6, 1], (6, 2) = m[6, 2], (6, 3) = m[6, 3], (6, 4) = m[6, 4], (6, 5) = m[6, 5], (6, 6) = R[6], (6, 7) = m[6, 7], (7, 1) = m[7, 1], (7, 2) = m[7, 2], (7, 3) = m[7, 3], (7, 4) = m[7, 4], (7, 5) = m[7, 5], (7, 6) = m[7, 6], (7, 7) = R[7]}); M:=Matrix(%id = 172937232)> permanent(M);R[1] m[4, 2] m[6, 3] m[7, 4] m[3, 5] m[2, 7] m[5, 6]
+ R[1] m[4, 2] m[7, 3] m[3, 4] m[2, 5] m[5, 6] m[6, 7]
+ R[1] m[4, 2] m[7, 3] m[2, 4] m[6, 5] m[3, 7] m[5, 6]
+ R[1] m[4, 2] m[7, 3] m[2, 4] m[6, 5] m[3, 6] m[5, 7]
+ R[1] m[4, 2] m[7, 3] m[2, 4] R[5] m[3, 7] R[6]
+ R[1] m[4, 2] m[7, 3] m[2, 4] R[5] m[3, 6] m[6, 7]
+ R[1] m[4, 2] m[7, 3] m[2, 4] m[3, 5] m[5, 7] R[6]
+ R[1] m[4, 2] m[7, 3] m[2, 4] m[3, 5] m[5, 6] m[6, 7]
+ R[1] m[4, 2] m[6, 3] m[7, 4] R[5] m[2, 7] m[3, 6]
+ R[1] m[4, 2] m[6, 3] m[7, 4] R[5] m[2, 6] m[3, 7]
+ R[1] m[4, 2] m[7, 3] m[5, 4] m[2, 5] m[3, 7] R[6]
+ R[1] m[4, 2] m[7, 3] m[5, 4] m[2, 5] m[3, 6] m[6, 7]
+ R[1] m[4, 2] m[7, 3] m[3, 4] m[6, 5] m[2, 7] m[5, 6]
+ R[1] m[4, 2] m[7, 3] m[3, 4] m[6, 5] m[2, 6] m[5, 7]
+ R[1] m[4, 2] m[7, 3] m[3, 4] R[5] m[2, 7] R[6]
+ R[1] m[4, 2] m[7, 3] m[3, 4] R[5] m[2, 6] m[6, 7]
+ R[1] m[4, 2] m[7, 3] m[3, 4] m[2, 5] m[5, 7] R[6]
+ R[1] m[4, 2] m[7, 3] m[6, 4] m[2, 5] m[3, 6] m[5, 7]
+ R[1] m[4, 2] m[7, 3] m[5, 4] m[6, 5] m[2, 7] m[3, 6]
+ R[1] m[4, 2] m[7, 3] m[5, 4] m[6, 5] m[2, 6] m[3, 7]
+ R[1] m[4, 2] m[7, 3] m[5, 4] m[3, 5] m[2, 7] R[6]
+ R[1] m[4, 2] m[7, 3] m[5, 4] m[3, 5] m[2, 6] m[6, 7]
+ R[1] m[4, 2] m[7, 3] m[6, 4] m[3, 5] m[2, 7] m[5, 6]
+ R[1] m[4, 2] m[7, 3] m[6, 4] m[3, 5] m[2, 6] m[5, 7]
+ R[1] m[4, 2] m[7, 3] m[6, 4] m[2, 5] m[3, 7] m[5, 6]
+ R[1] m[4, 2] m[7, 3] m[6, 4] R[5] m[2, 6] m[3, 7]
+ R[1] m[5, 2] m[2, 3] m[3, 4] m[6, 5] m[4, 6] R[7]
+ R[1] m[5, 2] m[2, 3] m[3, 4] m[4, 5] m[6, 7] m[7, 6]
+ R[1] m[5, 2] m[2, 3] m[3, 4] m[4, 5] R[6] R[7]
+ R[1] m[4, 2] m[7, 3] m[6, 4] R[5] m[2, 7] m[3, 6]
+ R[1] m[5, 2] m[2, 3] m[3, 4] m[6, 5] m[4, 7] m[7, 6]
+ R[1] m[5, 2] m[2, 3] m[3, 4] m[7, 5] m[4, 6] m[6, 7]
+ R[1] m[5, 2] m[2, 3] m[3, 4] m[7, 5] m[4, 7] R[6]
+ R[1] m[5, 2] m[2, 3] R[4] m[3, 5] R[6] R[7]
+ R[1] m[5, 2] m[2, 3] R[4] m[6, 5] m[3, 6] R[7]
+ R[1] m[5, 2] m[2, 3] R[4] m[3, 5] m[6, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[1, 3] m[2, 4] m[7, 5] m[4, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[1, 3] R[4] m[2, 5] m[5, 6] R[7]
+ m[3, 1] m[6, 2] m[1, 3] R[4] m[2, 5] m[5, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[1, 3] R[4] R[5] m[2, 6] R[7]
+ m[3, 1] m[6, 2] m[1, 3] R[4] R[5] m[2, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[1, 3] R[4] m[7, 5] m[2, 6] m[5, 7]
+ m[3, 1] m[6, 2] m[1, 3] R[4] m[7, 5] m[2, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[1, 3] m[5, 4] m[2, 5] m[4, 6] R[7]
+ m[3, 1] m[6, 2] m[1, 3] m[5, 4] m[2, 5] m[4, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[1, 3] m[5, 4] m[4, 5] m[2, 6] R[7]
+ m[3, 1] m[6, 2] m[1, 3] m[5, 4] m[4, 5] m[2, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[1, 3] m[5, 4] m[7, 5] m[2, 6] m[4, 7]
+ m[3, 1] m[6, 2] m[1, 3] m[5, 4] m[7, 5] m[2, 7] m[4, 6]
+ m[3, 1] m[6, 2] m[1, 3] m[7, 4] m[2, 5] m[4, 6] m[5, 7]
+ m[3, 1] m[6, 2] m[1, 3] m[7, 4] m[2, 5] m[4, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[1, 3] m[7, 4] m[4, 5] m[2, 6] m[5, 7]
+ m[3, 1] m[6, 2] m[1, 3] m[7, 4] m[4, 5] m[2, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[1, 3] m[7, 4] R[5] m[2, 6] m[4, 7]
+ m[3, 1] m[6, 2] m[1, 3] m[7, 4] R[5] m[2, 7] m[4, 6]
+ m[3, 1] m[6, 2] m[2, 3] m[1, 4] m[4, 5] m[5, 6] R[7]
+ m[3, 1] m[6, 2] m[2, 3] m[1, 4] m[4, 5] m[5, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[2, 3] m[1, 4] R[5] m[4, 6] R[7]
+ m[3, 1] m[6, 2] m[2, 3] m[1, 4] R[5] m[4, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[2, 3] m[1, 4] m[7, 5] m[4, 6] m[5, 7]
+ m[3, 1] m[6, 2] m[2, 3] m[1, 4] m[7, 5] m[4, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[2, 3] R[4] m[1, 5] m[5, 6] R[7]
+ m[3, 1] m[6, 2] m[2, 3] R[4] m[1, 5] m[5, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[2, 3] R[4] R[5] m[1, 6] R[7]
+ m[3, 1] m[6, 2] m[2, 3] R[4] R[5] m[1, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[2, 3] R[4] m[7, 5] m[1, 6] m[5, 7]
+ m[3, 1] m[6, 2] m[2, 3] R[4] m[7, 5] m[1, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[2, 3] m[5, 4] m[1, 5] m[4, 6] R[7]
+ m[3, 1] m[6, 2] m[2, 3] m[5, 4] m[1, 5] m[4, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[2, 3] m[5, 4] m[4, 5] m[1, 6] R[7]
+ m[3, 1] m[6, 2] m[2, 3] m[5, 4] m[4, 5] m[1, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[2, 3] m[5, 4] m[7, 5] m[1, 6] m[4, 7]
+ m[3, 1] m[6, 2] m[2, 3] m[5, 4] m[7, 5] m[1, 7] m[4, 6]
+ m[3, 1] m[6, 2] m[2, 3] m[7, 4] m[1, 5] m[4, 6] m[5, 7]
+ m[3, 1] m[6, 2] m[2, 3] m[7, 4] m[1, 5] m[4, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[2, 3] m[7, 4] m[4, 5] m[1, 6] m[5, 7]
+ m[3, 1] m[6, 2] m[2, 3] m[7, 4] m[4, 5] m[1, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[2, 3] m[7, 4] R[5] m[1, 6] m[4, 7]
+ m[3, 1] m[6, 2] m[2, 3] m[7, 4] R[5] m[1, 7] m[4, 6]
+ m[3, 1] m[6, 2] m[4, 3] m[1, 4] m[2, 5] m[5, 6] R[7]
+ m[3, 1] m[6, 2] m[4, 3] m[1, 4] m[2, 5] m[5, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[4, 3] m[1, 4] R[5] m[2, 6] R[7]
+ m[3, 1] m[6, 2] m[4, 3] m[1, 4] R[5] m[2, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[4, 3] m[1, 4] m[7, 5] m[2, 6] m[5, 7]
+ m[3, 1] m[6, 2] m[4, 3] m[1, 4] m[7, 5] m[2, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[4, 3] m[2, 4] m[1, 5] m[5, 6] R[7]
+ m[3, 1] m[6, 2] m[4, 3] m[2, 4] m[1, 5] m[5, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[4, 3] m[2, 4] R[5] m[1, 6] R[7]
+ m[3, 1] m[6, 2] m[4, 3] m[2, 4] R[5] m[1, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[4, 3] m[2, 4] m[7, 5] m[1, 6] m[5, 7]
+ m[3, 1] m[6, 2] m[4, 3] m[2, 4] m[7, 5] m[1, 7] m[5, 6]
+ m[3, 1] m[6, 2] m[4, 3] m[5, 4] m[1, 5] m[2, 6] R[7]
+ m[3, 1] m[6, 2] m[4, 3] m[5, 4] m[1, 5] m[2, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[4, 3] m[5, 4] m[2, 5] m[1, 6] R[7]
+ m[3, 1] m[6, 2] m[4, 3] m[5, 4] m[2, 5] m[1, 7] m[7, 6]
+ m[3, 1] m[6, 2] m[4, 3] m[5, 4] m[7, 5] m[1, 6] m[2, 7]
+ m[3, 1] R[2] m[6, 3] m[7, 4] m[4, 5] m[1, 7] m[5, 6]
+ m[3, 1] R[2] m[6, 3] m[7, 4] R[5] m[1, 6] m[4, 7]
+ m[3, 1] R[2] m[6, 3] m[7, 4] R[5] m[1, 7] m[4, 6]
+ m[3, 1] R[2] m[7, 3] m[1, 4] m[4, 5] m[5, 6] m[6, 7] + [...4840 terms...]
+ m[2, 1] m[7, 2] m[1, 3] m[6, 4] m[4, 5] m[3, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[1, 3] m[6, 4] m[4, 5] m[3, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[1, 3] m[6, 4] R[5] m[3, 6] m[4, 7]
+ m[2, 1] m[7, 2] m[1, 3] m[6, 4] R[5] m[3, 7] m[4, 6]
+ m[2, 1] m[7, 2] R[3] m[1, 4] m[4, 5] m[5, 6] m[6, 7]
+ m[2, 1] m[7, 2] R[3] m[1, 4] m[4, 5] m[5, 7] R[6]
+ m[2, 1] m[7, 2] R[3] m[1, 4] R[5] m[4, 6] m[6, 7]
+ m[2, 1] m[7, 2] R[3] m[1, 4] R[5] m[4, 7] R[6]
+ m[2, 1] m[7, 2] R[3] m[1, 4] m[6, 5] m[4, 6] m[5, 7]
+ m[2, 1] m[7, 2] R[3] m[1, 4] m[6, 5] m[4, 7] m[5, 6]
+ m[2, 1] m[7, 2] R[3] R[4] m[1, 5] m[5, 6] m[6, 7]
+ m[2, 1] m[7, 2] R[3] R[4] m[1, 5] m[5, 7] R[6]
+ m[2, 1] m[7, 2] R[3] R[4] R[5] m[1, 6] m[6, 7]
+ m[2, 1] m[7, 2] R[3] R[4] R[5] m[1, 7] R[6]
+ m[2, 1] m[7, 2] R[3] R[4] m[6, 5] m[1, 6] m[5, 7]
+ m[2, 1] m[7, 2] R[3] R[4] m[6, 5] m[1, 7] m[5, 6]
+ m[2, 1] m[7, 2] R[3] m[5, 4] m[1, 5] m[4, 6] m[6, 7]
+ m[2, 1] m[7, 2] R[3] m[5, 4] m[1, 5] m[4, 7] R[6]
+ m[2, 1] m[7, 2] R[3] m[5, 4] m[4, 5] m[1, 6] m[6, 7]
+ m[2, 1] m[7, 2] R[3] m[5, 4] m[4, 5] m[1, 7] R[6]
+ m[2, 1] m[7, 2] R[3] m[5, 4] m[6, 5] m[1, 6] m[4, 7]
+ m[2, 1] m[7, 2] R[3] m[5, 4] m[6, 5] m[1, 7] m[4, 6]
+ m[2, 1] m[7, 2] R[3] m[6, 4] m[1, 5] m[4, 6] m[5, 7]
+ m[2, 1] m[7, 2] R[3] m[6, 4] m[1, 5] m[4, 7] m[5, 6]
+ m[2, 1] m[7, 2] R[3] m[6, 4] m[4, 5] m[1, 6] m[5, 7]
+ m[2, 1] m[7, 2] R[3] m[6, 4] m[4, 5] m[1, 7] m[5, 6]
+ m[2, 1] m[7, 2] R[3] m[6, 4] R[5] m[1, 6] m[4, 7]
+ m[2, 1] m[7, 2] R[3] m[6, 4] R[5] m[1, 7] m[4, 6]
+ m[2, 1] m[7, 2] m[4, 3] m[1, 4] m[3, 5] m[5, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[1, 4] m[3, 5] m[5, 7] R[6]
+ m[2, 1] m[7, 2] m[4, 3] m[1, 4] R[5] m[3, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[1, 4] R[5] m[3, 7] R[6]
+ m[2, 1] m[7, 2] m[4, 3] m[1, 4] m[6, 5] m[3, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[1, 4] m[6, 5] m[3, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[4, 3] m[3, 4] m[1, 5] m[5, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[3, 4] m[1, 5] m[5, 7] R[6]
+ m[2, 1] m[7, 2] m[4, 3] m[3, 4] R[5] m[1, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[3, 4] R[5] m[1, 7] R[6]
+ m[2, 1] m[7, 2] m[4, 3] m[3, 4] m[6, 5] m[1, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[3, 4] m[6, 5] m[1, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[4, 3] m[5, 4] m[1, 5] m[3, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[5, 4] m[1, 5] m[3, 7] R[6]
+ m[2, 1] m[7, 2] m[4, 3] m[5, 4] m[3, 5] m[1, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[5, 4] m[3, 5] m[1, 7] R[6]
+ m[2, 1] m[7, 2] m[4, 3] m[5, 4] m[6, 5] m[1, 6] m[3, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[5, 4] m[6, 5] m[1, 7] m[3, 6]
+ m[2, 1] m[7, 2] m[4, 3] m[6, 4] m[1, 5] m[3, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[6, 4] m[1, 5] m[3, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[4, 3] m[6, 4] m[3, 5] m[1, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[6, 4] m[3, 5] m[1, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[4, 3] m[6, 4] R[5] m[1, 6] m[3, 7]
+ m[2, 1] m[7, 2] m[4, 3] m[6, 4] R[5] m[1, 7] m[3, 6]
+ m[2, 1] m[7, 2] m[5, 3] m[1, 4] m[3, 5] m[4, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[5, 3] m[1, 4] m[3, 5] m[4, 7] R[6]
+ m[2, 1] m[7, 2] m[5, 3] m[1, 4] m[4, 5] m[3, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[5, 3] m[1, 4] m[4, 5] m[3, 7] R[6]
+ m[2, 1] m[7, 2] m[5, 3] m[1, 4] m[6, 5] m[3, 6] m[4, 7]
+ m[2, 1] m[7, 2] m[5, 3] m[1, 4] m[6, 5] m[3, 7] m[4, 6]
+ m[2, 1] m[7, 2] m[5, 3] m[3, 4] m[1, 5] m[4, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[5, 3] m[3, 4] m[1, 5] m[4, 7] R[6]
+ m[2, 1] m[7, 2] m[5, 3] m[3, 4] m[4, 5] m[1, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[5, 3] m[3, 4] m[4, 5] m[1, 7] R[6]
+ m[2, 1] m[7, 2] m[5, 3] m[3, 4] m[6, 5] m[1, 6] m[4, 7]
+ m[2, 1] m[7, 2] m[5, 3] m[3, 4] m[6, 5] m[1, 7] m[4, 6]
+ m[2, 1] m[7, 2] m[5, 3] R[4] m[1, 5] m[3, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[5, 3] R[4] m[1, 5] m[3, 7] R[6]
+ m[2, 1] m[7, 2] m[5, 3] R[4] m[3, 5] m[1, 6] m[6, 7]
+ m[2, 1] m[7, 2] m[5, 3] R[4] m[3, 5] m[1, 7] R[6]
+ m[2, 1] m[7, 2] m[5, 3] R[4] m[6, 5] m[1, 6] m[3, 7]
+ m[2, 1] m[7, 2] m[5, 3] R[4] m[6, 5] m[1, 7] m[3, 6]
+ m[2, 1] m[7, 2] m[5, 3] m[6, 4] m[1, 5] m[3, 6] m[4, 7]
+ m[2, 1] m[7, 2] m[5, 3] m[6, 4] m[1, 5] m[3, 7] m[4, 6]
+ m[2, 1] m[7, 2] m[5, 3] m[6, 4] m[3, 5] m[1, 6] m[4, 7]
+ m[2, 1] m[7, 2] m[5, 3] m[6, 4] m[3, 5] m[1, 7] m[4, 6]
+ m[2, 1] m[7, 2] m[5, 3] m[6, 4] m[4, 5] m[1, 6] m[3, 7]
+ m[2, 1] m[7, 2] m[5, 3] m[6, 4] m[4, 5] m[1, 7] m[3, 6]
+ m[2, 1] m[7, 2] m[6, 3] m[1, 4] m[3, 5] m[4, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[6, 3] m[1, 4] m[3, 5] m[4, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[6, 3] m[1, 4] m[4, 5] m[3, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[6, 3] m[1, 4] m[4, 5] m[3, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[6, 3] m[1, 4] R[5] m[3, 6] m[4, 7]
+ m[2, 1] m[7, 2] m[6, 3] m[1, 4] R[5] m[3, 7] m[4, 6]
+ m[2, 1] m[7, 2] m[6, 3] m[3, 4] m[1, 5] m[4, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[6, 3] m[3, 4] m[1, 5] m[4, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[6, 3] m[3, 4] m[4, 5] m[1, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[6, 3] m[3, 4] m[4, 5] m[1, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[6, 3] m[3, 4] R[5] m[1, 6] m[4, 7]
+ m[2, 1] m[7, 2] m[6, 3] m[3, 4] R[5] m[1, 7] m[4, 6]
+ m[2, 1] m[7, 2] m[6, 3] R[4] m[1, 5] m[3, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[6, 3] R[4] m[1, 5] m[3, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[6, 3] R[4] m[3, 5] m[1, 6] m[5, 7]
+ m[2, 1] m[7, 2] m[6, 3] R[4] m[3, 5] m[1, 7] m[5, 6]
+ m[2, 1] m[7, 2] m[6, 3] R[4] R[5] m[1, 6] m[3, 7]
+ m[2, 1] m[7, 2] m[6, 3] R[4] R[5] m[1, 7] m[3, 6]
+ m[2, 1] m[7, 2] m[6, 3] m[5, 4] m[1, 5] m[3, 6] m[4, 7]
+ m[2, 1] m[7, 2] m[6, 3] m[5, 4] m[1, 5] m[3, 7] m[4, 6]
+ m[2, 1] m[7, 2] m[6, 3] m[5, 4] m[3, 5] m[1, 6] m[4, 7]
+ m[2, 1] m[7, 2] m[6, 3] m[5, 4] m[3, 5] m[1, 7] m[4, 6]
+ m[2, 1] m[7, 2] m[6, 3] m[5, 4] m[4, 5] m[1, 6] m[3, 7]
+ m[2, 1] m[7, 2] m[6, 3] m[5, 4] m[4, 5] m[1, 7] m[3, 6]> A := Matrix(6, 6, {(1, 1) = .8, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (2, 1) = 2, (2, 2) = .6, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .6, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .2, (4, 5) = 0, (4, 6) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .2, (5, 6) = 1, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = .8}); A:=Matrix(%id = 172955628)> permanent(A); 312.969216> B := Matrix(6, 6, {(1, 1) = 1, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (2, 1) = 2, (2, 2) = 1, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = 1, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = 1, (4, 5) = 0, (4, 6) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = 1, (5, 6) = 1, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1}); B := Matrix(%id = 172971060)> permanent(B); 716> NULL;> NULL;> with(linalg);> M := Matrix(7, 7, {(1, 1) = .50, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .75, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .75, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .63}); Matrix(%id = 189399040)> permanent(M); 1114.985995> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .13}); Matrix(%id = 173122916)> permanent(M); 744.9625830> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .50, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .63, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .50}); Matrix(%id = 199884800)> permanent(M); 882.4042969> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .50, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .50}); Matrix(%id = 202398820)> permanent(M); 964.0289062> M := Matrix(7, 7, {(1, 1) = .63, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .63, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .50, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .63, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .50, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .25}); Matrix(%id = 202400484)> permanent(M); 865.6570218> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .63, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .50, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .63, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .13}); Matrix(%id = 202402212)> permanent(M); 735.5526154> M := Matrix(7, 7, {(1, 1) = .50, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .50, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .50, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .63}); Matrix(%id = 202403940)> permanent(M); 1047.056719> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .75, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .13, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .50}); Matrix(%id = 186678372)> permanent(M); 876.5486134> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .63, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 153024832)> permanent(M); 829.4237989> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .75, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .25, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 172633476)> permanent(M); 838.1407616> M := Matrix(7, 7, {(1, 1) = .63, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .63, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .50, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .88, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .75, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 189923328)> permanent(M); 1030.012321> M := Matrix(7, 7, {(1, 1) = .50, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .63, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .75, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 184019040)> permanent(M); 977.4818707> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .63, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .50, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .50, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .13}); Matrix(%id = 184285008)> permanent(M); 778.0537186> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .50, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 184232248)> permanent(M); 911.8969688> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .50, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 215381036)> permanent(M); 911.8969688> M := Matrix(7, 7, {(1, 1) = .50, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .75, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .50, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .75, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 153056288)> permanent(M); 959.2669437> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .63, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .50, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 171705144)> permanent(M); 912.0465581> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .63, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 173121188)> permanent(M); 844.0639792> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .50, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .13}); Matrix(%id = 184023264)> permanent(M); 721.4853344> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .63, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 194499304)> permanent(M); 829.4237989> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .63, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .25, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .75, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .25, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 203579740)> permanent(M); 838.0953398> M := Matrix(7, 7, {(1, 1) = .25, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .63, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .63, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .50, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .25}); Matrix(%id = 184299452)> permanent(M); 841.6764503> M := Matrix(7, 7, {(1, 1) = .75, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .50, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .38, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = 1, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .50, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .38}); Matrix(%id = 184385552)> permanent(M); 973.5402250> M := Matrix(7, 7, {(1, 1) = .75, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = .63, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = .25, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = .50, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = .75, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = .50}); Matrix(%id = 215835756)> permanent(M); 1015.780430> M := Matrix(7, 7, {(1, 1) = 0, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = 0, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = 0, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = 0, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = 0, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 0, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = 0}); Matrix(%id = 172753260)> permanent(M); 324> M := Matrix(7, 7, {(1, 1) = 1, (1, 2) = 1, (1, 3) = 0, (1, 4) = 3, (1, 5) = 0, (1, 6) = 3, (1, 7) = 0, (2, 1) = 2, (2, 2) = 1, (2, 3) = 1, (2, 4) = 3, (2, 5) = 1, (2, 6) = 0, (2, 7) = 0, (3, 1) = 3, (3, 2) = 3, (3, 3) = 1, (3, 4) = 1, (3, 5) = 0, (3, 6) = 0, (3, 7) = 2, (4, 1) = 3, (4, 2) = 3, (4, 3) = 0, (4, 4) = 1, (4, 5) = 0, (4, 6) = 0, (4, 7) = 0, (5, 1) = 3, (5, 2) = 2, (5, 3) = 3, (5, 4) = 0, (5, 5) = 1, (5, 6) = 1, (5, 7) = 0, (6, 1) = 3, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 0, (6, 6) = 1, (6, 7) = 0, (7, 1) = 3, (7, 2) = 1, (7, 3) = 0, (7, 4) = 2, (7, 5) = 0, (7, 6) = 0, (7, 7) = 1}); Matrix(%id = 184109836)> permanent(M); 1636>
