Magma V2.19-8 Tue Aug 20 2013 23:42:32 on localhost [Seed = 2699478471] Type ? for help. Type -D to quit. Loading file "L13n3925__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3925 geometric_solution 10.31188377 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 -1 0 1 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883872682545 0.778742756363 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 1 0 -1 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 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 0.363053234196 0.561186797436 4 0 8 7 0213 0132 0132 3012 1 1 1 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 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 0.730239759053 0.785557695647 9 5 6 0 0132 1230 0213 0132 1 1 1 1 0 -1 1 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 4 -1 0 0 1 -1 -4 0 0 4 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.870210255676 0.921145549290 2 10 0 6 0213 0132 0132 2103 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 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 0.303451850491 0.477444214869 7 1 3 8 0321 0132 3012 3120 1 1 0 1 0 -1 0 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 -4 0 4 0 0 3 -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 0.976744633051 0.669502998154 9 3 1 4 2103 0213 0132 2103 1 1 1 1 0 -1 1 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 -4 4 0 0 0 0 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149984479445 1.064471899708 5 10 2 1 0321 1023 1230 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391029704025 1.138701508216 5 10 9 2 3120 0321 0213 0132 1 1 0 1 0 0 0 0 1 0 -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 3 0 -3 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063364556248 0.866987448931 3 8 6 10 0132 0213 2103 3012 1 1 1 1 0 0 0 0 0 0 0 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 -3 3 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063364556248 0.866987448931 7 4 9 8 1023 0132 1230 0321 1 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 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 0.916149212511 1.147290924783 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0110_6'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_1001_2'], '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_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_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' : negation(d['c_0110_6']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0011_6'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_2'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0011_10']), '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_0110_2'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0110_2']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6']})} 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_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_5, c_0110_2, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + c_1001_2^3 + c_1001_2^2, c_0011_0 - 1, c_0011_10 + c_1001_2^3 + c_1001_2^2, c_0011_3 + c_1001_2^2 + c_1001_2 - 1, c_0011_6 + c_1001_2^3 + c_1001_2^2 - 1, c_0011_8 + c_1001_2^3 + c_1001_2^2 - c_1001_2 - 1, c_0101_0 - 1, c_0101_10 - 1, c_0101_5 - c_1001_2^2, c_0110_2 - c_1001_2^3 - 2*c_1001_2^2 + 2, c_0110_6 + c_1001_2^2 + c_1001_2, c_1001_2^4 + c_1001_2^3 - c_1001_2^2 - c_1001_2 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_5, c_0110_2, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 32762/13*c_1001_2^5 - 11263/13*c_1001_2^4 - 77451/26*c_1001_2^3 - 85621/52*c_1001_2^2 + 465577/52*c_1001_2 - 11329/13, c_0011_0 - 1, c_0011_10 - 5/13*c_1001_2^5 - 1/26*c_1001_2^4 - 1/26*c_1001_2^3 + 10/13*c_1001_2^2 - 23/26*c_1001_2 + 17/26, c_0011_3 + 7/39*c_1001_2^5 - 3/26*c_1001_2^4 - 35/78*c_1001_2^3 - 1/39*c_1001_2^2 + 9/26*c_1001_2 - 29/78, c_0011_6 + 22/39*c_1001_2^5 - 1/13*c_1001_2^4 - 16/39*c_1001_2^3 - 31/39*c_1001_2^2 + 16/13*c_1001_2 - 1/39, c_0011_8 + c_1001_2, c_0101_0 - 1, c_0101_10 - 2/39*c_1001_2^5 - 7/13*c_1001_2^4 + 5/39*c_1001_2^3 + 17/39*c_1001_2^2 + 8/13*c_1001_2 - 7/39, c_0101_5 + 7/39*c_1001_2^5 - 3/26*c_1001_2^4 - 35/78*c_1001_2^3 - 1/39*c_1001_2^2 + 35/26*c_1001_2 - 29/78, c_0110_2 - 7/39*c_1001_2^5 + 3/26*c_1001_2^4 + 35/78*c_1001_2^3 + 1/39*c_1001_2^2 - 35/26*c_1001_2 + 29/78, c_0110_6 - 7/39*c_1001_2^5 + 3/26*c_1001_2^4 + 35/78*c_1001_2^3 + 1/39*c_1001_2^2 - 9/26*c_1001_2 + 29/78, c_1001_2^6 - 1/2*c_1001_2^5 - c_1001_2^4 - 1/2*c_1001_2^3 + 7/2*c_1001_2^2 - c_1001_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB