Magma V2.19-8 Tue Aug 20 2013 23:56:07 on localhost [Seed = 3769010371] Type ? for help. Type -D to quit. Loading file "L14n15024__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15024 geometric_solution 11.25006599 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 1 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 -10 1 0 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.066878361765 0.788501456265 0 4 6 5 0132 0321 0132 0132 1 0 1 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 0 -10 -1 0 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717794681293 0.741783142625 7 0 9 8 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 0 1 10 -1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.048565522126 0.854424045812 10 8 6 0 0132 2310 0213 0132 1 0 1 1 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 -9 -2 0 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.048565522126 0.854424045812 7 11 0 1 1230 0132 0132 0321 1 0 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717794681293 0.741783142625 11 8 1 9 3201 2103 0132 3201 1 0 1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 -10 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562133587619 0.609426118657 7 3 10 1 3201 0213 0132 0132 1 0 0 1 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 2 -2 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739997592110 0.470408159646 2 4 9 6 0132 3012 2103 2310 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900020174100 1.628357357067 11 5 2 3 2103 2103 0132 3201 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326312599667 0.696201810894 7 5 10 2 2103 2310 2310 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777562193381 1.082217535138 3 9 11 6 0132 3201 3201 0132 1 0 1 1 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 -9 2 0 0 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777562193381 1.082217535138 10 4 8 5 2310 0132 2103 2310 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562133587619 0.609426118657 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_1001_3']), 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : negation(d['c_1001_3']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_0']), 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0110_5, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 9501816/25*c_1001_3^3 + 474525*c_1001_3^2 - 36089941/200*c_1001_3 + 2993601/200, c_0011_0 - 1, c_0011_10 - 32/5*c_1001_3^3 + 4*c_1001_3^2 + 1/5*c_1001_3 - 1/5, c_0011_11 + 2*c_1001_3 - 1, c_0011_5 - 96/5*c_1001_3^3 + 16*c_1001_3^2 - 17/5*c_1001_3 + 2/5, c_0011_6 - 64/5*c_1001_3^3 + 8*c_1001_3^2 - 3/5*c_1001_3 - 2/5, c_0011_8 - 64/5*c_1001_3^3 + 12*c_1001_3^2 - 18/5*c_1001_3 + 3/5, c_0101_0 - 192/5*c_1001_3^3 + 40*c_1001_3^2 - 59/5*c_1001_3 + 4/5, c_0101_1 - 1, c_0101_11 + 96/5*c_1001_3^3 - 16*c_1001_3^2 + 22/5*c_1001_3 - 2/5, c_0110_5 + 128/5*c_1001_3^3 - 32*c_1001_3^2 + 66/5*c_1001_3 - 11/5, c_1001_1 + 128/5*c_1001_3^3 - 16*c_1001_3^2 - 4/5*c_1001_3 + 4/5, c_1001_3^4 - 11/8*c_1001_3^3 + 43/64*c_1001_3^2 - 9/64*c_1001_3 + 1/64 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0110_5, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3171410841/290816*c_1001_3^6 + 43495439609/290816*c_1001_3^5 - 44710345601/145408*c_1001_3^4 + 21705557115/290816*c_1001_3^3 + 25036391207/290816*c_1001_3^2 - 8214092849/72704*c_1001_3 + 17742265973/290816, c_0011_0 - 1, c_0011_10 - 917/71*c_1001_3^6 - 12589/71*c_1001_3^5 + 25675/71*c_1001_3^4 - 6062/71*c_1001_3^3 - 7129/71*c_1001_3^2 + 9428/71*c_1001_3 - 5068/71, c_0011_11 + 2463/71*c_1001_3^6 + 33782/71*c_1001_3^5 - 69410/71*c_1001_3^4 + 16855/71*c_1001_3^3 + 19300/71*c_1001_3^2 - 25505/71*c_1001_3 + 13731/71, c_0011_5 - 1763/71*c_1001_3^6 - 24184/71*c_1001_3^5 + 49646/71*c_1001_3^4 - 11911/71*c_1001_3^3 - 13903/71*c_1001_3^2 + 18217/71*c_1001_3 - 9852/71, c_0011_6 + 2939/71*c_1001_3^6 + 40320/71*c_1001_3^5 - 82699/71*c_1001_3^4 + 19825/71*c_1001_3^3 + 23200/71*c_1001_3^2 - 30387/71*c_1001_3 + 16346/71, c_0011_8 + 1196/71*c_1001_3^6 + 16394/71*c_1001_3^5 - 33853/71*c_1001_3^4 + 8321/71*c_1001_3^3 + 9437/71*c_1001_3^2 - 12433/71*c_1001_3 + 6688/71, c_0101_0 + 1267/71*c_1001_3^6 + 17388/71*c_1001_3^5 - 35557/71*c_1001_3^4 + 8534/71*c_1001_3^3 + 9863/71*c_1001_3^2 - 13072/71*c_1001_3 + 7043/71, c_0101_1 - 1, c_0101_11 - c_1001_3, c_0110_5 + 1267/71*c_1001_3^6 + 17388/71*c_1001_3^5 - 35557/71*c_1001_3^4 + 8534/71*c_1001_3^3 + 9863/71*c_1001_3^2 - 13072/71*c_1001_3 + 7043/71, c_1001_1 + 1, c_1001_3^7 + 13*c_1001_3^6 - 38*c_1001_3^5 + 27*c_1001_3^4 + 3*c_1001_3^3 - 16*c_1001_3^2 + 13*c_1001_3 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB