Magma V2.19-8 Tue Aug 20 2013 23:40:21 on localhost [Seed = 3869278819] Type ? for help. Type -D to quit. Loading file "L10n47__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n47 geometric_solution 10.31188377 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 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 0 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 0.083850787489 1.147290924783 0 5 6 4 0132 0132 0132 0213 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 0 0 0 -1 0 0 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 0.936635443752 0.866987448931 7 0 5 8 0132 0132 0132 0132 0 1 1 1 0 -1 0 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 1 0 -1 -3 0 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023255366949 0.669502998154 9 10 5 0 0132 0132 0321 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 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 0.634797344250 0.682885220601 8 6 0 1 0321 0132 0132 0213 0 1 1 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 1 -1 0 -1 0 1 0 0 1 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.063364556248 0.866987448931 7 1 3 2 1023 0132 0321 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 0 0 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 0 0 0 0.608970295975 1.138701508216 7 4 9 1 2310 0132 0132 0132 0 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 0 3 -4 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850015520555 1.064471899708 2 5 6 10 0132 1023 3201 1230 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 -1 0 3 0 -3 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 0.116127317455 0.778742756363 4 9 2 10 0321 0213 0132 0213 0 1 1 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 1 0 4 0 -4 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 0.129789744324 0.921145549290 3 10 8 6 0132 0213 0213 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 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 0.696548149509 0.477444214869 7 3 9 8 3012 0132 0213 0213 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 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 0.636946765804 0.561186797436 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], '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_10' : d['c_0011_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_10' : 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' : d['c_1001_6'], 'c_1100_8' : d['c_1001_3'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_1001_6'], 'c_1100_1' : d['c_1001_6'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1001_3'], 'c_1100_10' : d['c_1001_6'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : d['c_1001_6'], '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_10' : d['c_0011_4'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0101_1']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_8, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_3, c_1001_5, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - c_1001_6 - 1, c_0011_0 - 1, c_0011_10 + c_1001_6^2 + 2*c_1001_6 + 2, c_0011_4 + c_1001_6^3 + 3*c_1001_6^2 + 5*c_1001_6 + 2, c_0011_8 - c_1001_6^3 - 2*c_1001_6^2 - 3*c_1001_6, c_0101_1 + c_1001_6^3 + 3*c_1001_6^2 + 5*c_1001_6 + 3, c_0101_3 + c_1001_6 + 1, c_1001_0 - 1, c_1001_1 - c_1001_6^3 - 2*c_1001_6^2 - 3*c_1001_6 - 1, c_1001_3 - c_1001_6^3 - 3*c_1001_6^2 - 5*c_1001_6 - 2, c_1001_5 - c_1001_6 - 1, c_1001_6^4 + 3*c_1001_6^3 + 5*c_1001_6^2 + 3*c_1001_6 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_8, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_3, c_1001_5, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 11/192*c_1001_5^5 - 1/16*c_1001_5^4 - 19/192*c_1001_5^3 + 7/96*c_1001_5^2 + 5/48*c_1001_5 - 11/48, c_0011_0 - 1, c_0011_10 + 1/4*c_1001_5^4 + 3/4*c_1001_5^3 + 3/2*c_1001_5^2 + c_1001_5, c_0011_4 + 1/4*c_1001_5^5 + 1/2*c_1001_5^4 + 5/4*c_1001_5^3 - 2, c_0011_8 + 1/2*c_1001_5^3 + 1/2*c_1001_5^2 + c_1001_5 - 1, c_0101_1 - 1, c_0101_3 - 1/4*c_1001_5^4 - 1/4*c_1001_5^3 - c_1001_5^2 - 1, c_1001_0 - 1, c_1001_1 - 1/2*c_1001_5^3 - 1/2*c_1001_5^2 - c_1001_5 + 1, c_1001_3 - 1/4*c_1001_5^4 - 1/4*c_1001_5^3 - c_1001_5^2 - 1, c_1001_5^6 + 2*c_1001_5^5 + 5*c_1001_5^4 - 4*c_1001_5 + 8, c_1001_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB