Magma V2.19-8 Tue Aug 20 2013 23:40:26 on localhost [Seed = 778586786] Type ? for help. Type -D to quit. Loading file "L12n203__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n203 geometric_solution 9.65949854 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 1 0132 0132 0132 3201 1 1 1 1 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 0 1 -2 0 3 -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 1.033155686520 0.765885817710 0 0 3 2 0132 2310 3120 3120 1 1 1 1 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 0 0 0 0 0 0 0 2 0 0 -2 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375356206402 0.463052983087 1 0 5 4 3120 0132 0132 0132 1 1 1 1 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 0 -1 2 0 -2 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 0.568225904983 0.840182307463 4 5 1 0 0132 0132 3120 0132 1 1 1 1 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 0 0 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568225904983 0.840182307463 3 6 2 7 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 0 1 -1 -3 0 0 3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101573880329 1.170963572440 8 3 9 2 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 -2 0 0 2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101573880329 1.170963572440 8 4 9 9 1023 0132 1302 0321 1 0 1 1 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 1 0 -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 0.330177858940 0.777591397992 8 8 4 9 2103 1302 0132 0132 1 1 0 1 0 0 0 0 -1 0 1 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 3 0 -3 0 -2 1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330177858940 0.777591397992 5 6 7 7 0132 1023 2103 2031 0 1 1 1 0 -2 3 -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 2 -1 2 0 -3 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 0.330177858940 0.777591397992 6 6 7 5 2031 0321 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330177858940 0.777591397992 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0011_7'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_0_8' : negation(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' : negation(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' : d['c_1100_2'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1100_2'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0011_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(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_7']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0011_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_7, c_0101_0, c_0101_2, c_0101_5, c_0101_9, c_1001_0, c_1001_1, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 16026/967525*c_1100_2^7 - 372809/7740200*c_1100_2^6 - 100787/1548040*c_1100_2^5 - 396511/7740200*c_1100_2^4 - 76681/774020*c_1100_2^3 - 46089/7740200*c_1100_2^2 + 798867/7740200*c_1100_2 + 3998441/7740200, c_0011_0 - 1, c_0011_3 - c_1100_2, c_0011_7 - 1, c_0101_0 - 43/458*c_1100_2^7 - 70/229*c_1100_2^6 - 453/916*c_1100_2^5 - 615/916*c_1100_2^4 - 300/229*c_1100_2^3 - 635/458*c_1100_2^2 - 1039/916*c_1100_2 + 115/916, c_0101_2 - 8/229*c_1100_2^7 - 58/229*c_1100_2^6 - 138/229*c_1100_2^5 - 201/229*c_1100_2^4 - 314/229*c_1100_2^3 - 443/229*c_1100_2^2 - 315/229*c_1100_2 + 32/229, c_0101_5 + 21/229*c_1100_2^7 + 95/229*c_1100_2^6 + 381/458*c_1100_2^5 + 270/229*c_1100_2^4 + 538/229*c_1100_2^3 + 619/229*c_1100_2^2 + 795/458*c_1100_2 - 84/229, c_0101_9 - 4/229*c_1100_2^7 - 29/229*c_1100_2^6 - 69/229*c_1100_2^5 - 201/458*c_1100_2^4 - 157/229*c_1100_2^3 - 336/229*c_1100_2^2 - 272/229*c_1100_2 - 197/458, c_1001_0 + 8/229*c_1100_2^7 + 58/229*c_1100_2^6 + 138/229*c_1100_2^5 + 201/229*c_1100_2^4 + 314/229*c_1100_2^3 + 443/229*c_1100_2^2 + 315/229*c_1100_2 - 32/229, c_1001_1 - 43/458*c_1100_2^7 - 70/229*c_1100_2^6 - 453/916*c_1100_2^5 - 615/916*c_1100_2^4 - 300/229*c_1100_2^3 - 635/458*c_1100_2^2 - 1039/916*c_1100_2 + 115/916, c_1100_2^8 + 4*c_1100_2^7 + 8*c_1100_2^6 + 12*c_1100_2^5 + 22*c_1100_2^4 + 28*c_1100_2^3 + 24*c_1100_2^2 + 4*c_1100_2 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB