Magma V2.19-8 Wed Aug 21 2013 00:54:47 on localhost [Seed = 964633458] Type ? for help. Type -D to quit. Loading file "L12n637__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n637 geometric_solution 12.28998717 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 1 0 -1 1 0 -1 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 0.829547114571 0.498121852522 0 5 6 2 0132 0132 0132 3120 1 1 1 1 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 1 -2 1 -1 0 0 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 0.817111866510 0.509942672635 1 0 5 7 3120 0132 1302 0132 0 1 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 0 0 0 -1 0 1 -1 0 1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398071874448 0.423590999480 7 8 9 0 0132 0132 0132 0132 0 1 1 1 0 0 1 -1 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 0 0 0 -1 1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622043838524 0.814609933170 10 11 0 12 0132 0132 0132 0132 0 1 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 1 -1 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 0.710663661823 0.680256585605 2 1 6 11 2031 0132 0321 1023 1 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 0 0 0 0 0 0 0 0 -1 0 1 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 1.111087545010 0.781898475451 10 8 5 1 3120 2310 0321 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 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 0.829547114571 0.498121852522 3 12 2 10 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250678319484 0.918301987504 11 3 12 6 0213 0132 0132 3201 0 1 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622043838524 0.814609933170 12 11 10 3 0132 0213 0213 0132 0 1 1 1 0 0 1 -1 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 -1 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622043838524 0.814609933170 4 9 7 6 0132 0213 0132 3120 0 1 1 1 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 0 0 0 0 0 0 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 0.265685433652 0.702895541870 8 4 9 5 0213 0132 0213 1023 0 1 1 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 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 0 0 0 0 0.723349193826 1.013446179458 9 7 4 8 0132 0132 0132 0132 0 1 1 1 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 -1 1 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 0 0 0.622043838524 0.814609933170 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_0110_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0110_5'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_10'], '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_12' : 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_1100_9' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0011_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], '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'], 'c_1100_12' : negation(d['c_0011_6']), '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' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0110_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_11, c_0110_5, c_1001_0, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2336/85*c_1001_3^5 - 54086/425*c_1001_3^4 - 105533/425*c_1001_3^3 - 23747/85*c_1001_3^2 - 73713/425*c_1001_3 - 23571/425, c_0011_0 - 1, c_0011_10 - 5*c_1001_3^5 - 11*c_1001_3^4 + 5*c_1001_3^3 + 26*c_1001_3^2 + 29*c_1001_3 + 10, c_0011_12 - 5*c_1001_3^5 - 21*c_1001_3^4 - 32*c_1001_3^3 - 22*c_1001_3^2 - 4*c_1001_3 + 2, c_0011_6 + 5*c_1001_3^5 + 16*c_1001_3^4 + 16*c_1001_3^3 + 6*c_1001_3^2 - 3*c_1001_3 - 1, c_0101_0 - 15*c_1001_3^5 - 68*c_1001_3^4 - 122*c_1001_3^3 - 119*c_1001_3^2 - 61*c_1001_3 - 13, c_0101_1 + 20*c_1001_3^5 + 89*c_1001_3^4 + 154*c_1001_3^3 + 141*c_1001_3^2 + 65*c_1001_3 + 12, c_0101_10 + 10*c_1001_3^5 + 57*c_1001_3^4 + 127*c_1001_3^3 + 145*c_1001_3^2 + 90*c_1001_3 + 23, c_0101_5 + 15*c_1001_3^5 + 73*c_1001_3^4 + 138*c_1001_3^3 + 135*c_1001_3^2 + 68*c_1001_3 + 12, c_0110_11 - 15*c_1001_3^5 - 68*c_1001_3^4 - 122*c_1001_3^3 - 119*c_1001_3^2 - 61*c_1001_3 - 13, c_0110_5 - 20*c_1001_3^5 - 94*c_1001_3^4 - 175*c_1001_3^3 - 173*c_1001_3^2 - 90*c_1001_3 - 19, c_1001_0 - 1, c_1001_10 - c_1001_3 - 1, c_1001_3^6 + 26/5*c_1001_3^5 + 58/5*c_1001_3^4 + 15*c_1001_3^3 + 58/5*c_1001_3^2 + 26/5*c_1001_3 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_11, c_0110_5, c_1001_0, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 893/1856*c_1001_10^10 + 1071/1856*c_1001_10^9 - 509/232*c_1001_10^8 + 1545/1856*c_1001_10^7 - 3891/928*c_1001_10^6 - 129/928*c_1001_10^5 - 4483/928*c_1001_10^4 + 41/232*c_1001_10^3 - 5929/1856*c_1001_10^2 - 289/464*c_1001_10 - 675/464, c_0011_0 - 1, c_0011_10 - 5/16*c_1001_10^10 + 7/16*c_1001_10^9 - 3/4*c_1001_10^8 - 7/16*c_1001_10^7 + 5/8*c_1001_10^6 - 15/8*c_1001_10^5 + 19/8*c_1001_10^4 - 3/4*c_1001_10^3 + 27/16*c_1001_10^2 - c_1001_10 + 7/4, c_0011_12 + 5/8*c_1001_10^10 - 13/8*c_1001_10^9 + 15/4*c_1001_10^8 - 37/8*c_1001_10^7 + 13/2*c_1001_10^6 - 27/4*c_1001_10^5 + 21/4*c_1001_10^4 - 11/2*c_1001_10^3 + 25/8*c_1001_10^2 - 9/4*c_1001_10, c_0011_6 - 3/8*c_1001_10^10 + 9/8*c_1001_10^9 - 5/2*c_1001_10^8 + 23/8*c_1001_10^7 - 13/4*c_1001_10^6 + 11/4*c_1001_10^5 - 7/4*c_1001_10^4 + 3/2*c_1001_10^3 - 3/8*c_1001_10^2 + c_1001_10 + 3/2, c_0101_0 - 3/16*c_1001_10^10 + 13/16*c_1001_10^9 - 2*c_1001_10^8 + 55/16*c_1001_10^7 - 35/8*c_1001_10^6 + 39/8*c_1001_10^5 - 31/8*c_1001_10^4 + 13/4*c_1001_10^3 - 51/16*c_1001_10^2 + 7/4*c_1001_10 - 5/4, c_0101_1 - 5/8*c_1001_10^10 + 17/8*c_1001_10^9 - 5*c_1001_10^8 + 57/8*c_1001_10^7 - 9*c_1001_10^6 + 19/2*c_1001_10^5 - 8*c_1001_10^4 + 27/4*c_1001_10^3 - 39/8*c_1001_10^2 + 7/2*c_1001_10 + 1/2, c_0101_10 + 5/16*c_1001_10^10 - 7/16*c_1001_10^9 + 3/4*c_1001_10^8 + 7/16*c_1001_10^7 - 5/8*c_1001_10^6 + 15/8*c_1001_10^5 - 19/8*c_1001_10^4 + 3/4*c_1001_10^3 - 27/16*c_1001_10^2 + c_1001_10 - 7/4, c_0101_5 - 1/4*c_1001_10^10 + c_1001_10^9 - 5/2*c_1001_10^8 + 17/4*c_1001_10^7 - 23/4*c_1001_10^6 + 27/4*c_1001_10^5 - 25/4*c_1001_10^4 + 21/4*c_1001_10^3 - 9/2*c_1001_10^2 + 5/2*c_1001_10 - 2, c_0110_11 - 3/16*c_1001_10^10 + 13/16*c_1001_10^9 - 2*c_1001_10^8 + 55/16*c_1001_10^7 - 35/8*c_1001_10^6 + 39/8*c_1001_10^5 - 31/8*c_1001_10^4 + 13/4*c_1001_10^3 - 51/16*c_1001_10^2 + 7/4*c_1001_10 - 5/4, c_0110_5 - 1/4*c_1001_10^10 + c_1001_10^9 - 5/2*c_1001_10^8 + 17/4*c_1001_10^7 - 23/4*c_1001_10^6 + 27/4*c_1001_10^5 - 25/4*c_1001_10^4 + 21/4*c_1001_10^3 - 9/2*c_1001_10^2 + 5/2*c_1001_10 - 2, c_1001_0 - 1, c_1001_10^11 - 2*c_1001_10^10 + 5*c_1001_10^9 - 5*c_1001_10^8 + 9*c_1001_10^7 - 8*c_1001_10^6 + 8*c_1001_10^5 - 10*c_1001_10^4 + 5*c_1001_10^3 - 7*c_1001_10^2 - 4, c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB