Magma V2.19-8 Wed Aug 21 2013 00:43:53 on localhost [Seed = 1141003254] Type ? for help. Type -D to quit. Loading file "K14n6025__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6025 geometric_solution 11.67141734 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 1 0 -1 -13 0 14 -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 0.529250220806 1.153723230842 0 0 5 4 0132 1302 0132 0132 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 0 0 0 0 1 -1 0 13 0 0 -13 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671514538466 0.716072082858 3 0 6 5 2103 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303184800707 0.743051538788 7 8 2 0 0132 0132 2103 0132 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 0 0 0 0 0 0 0 14 0 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343029076932 1.432144165717 9 5 1 10 0132 1023 0132 0132 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 0 0 0 0 13 -13 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264625110403 0.576861615421 4 11 2 1 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.470749779194 1.153723230842 12 8 10 2 0132 0321 0132 0132 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 0 0 0 0 -14 13 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403784169857 0.502938926654 3 10 9 12 0132 1023 0132 0132 0 0 0 0 0 -1 1 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 13 -13 0 -14 0 0 14 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.958252580453 0.934327113626 9 3 11 6 2103 0132 0132 0321 0 0 0 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 0 0 0 0 0 0 0 13 0 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.086687916548 0.614533799605 4 11 8 7 0132 1023 2103 0132 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 -13 13 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 0.277454730424 0.808502032144 7 11 4 6 1023 0213 0132 0132 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 -13 0 13 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 0.769779537334 1.086181472448 9 5 10 8 1023 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.539440361360 1.377448911894 6 12 7 12 0132 1302 0132 2031 0 0 0 0 0 1 0 -1 0 0 1 -1 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 -14 0 14 0 0 -14 14 0 -14 0 14 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531991034609 0.477134513141 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_1'], 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_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' : d['c_0011_10'], '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_12']), 'c_1100_8' : d['c_1001_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_6'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_0']), '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_12']), '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_10'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0101_10'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0011_12'], '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_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], '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_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0101_6, c_1001_0, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 32737/43264*c_1100_1^5 - 10551/43264*c_1100_1^4 + 2169/832*c_1100_1^3 - 10475/43264*c_1100_1^2 + 108639/43264*c_1100_1 + 18233/43264, c_0011_0 - 1, c_0011_10 - c_1100_1^2 - 1, c_0011_11 + c_1100_1^5 + c_1100_1^4 + 2*c_1100_1^3 + 3*c_1100_1^2 + c_1100_1, c_0011_12 - c_1100_1^5 - 3*c_1100_1^3 - c_1100_1^2 - 2*c_1100_1 - 2, c_0101_0 + c_1100_1^5 - c_1100_1^4 + 2*c_1100_1^3 - c_1100_1^2 + 1, c_0101_1 + 1, c_0101_10 + c_1100_1^2 + 1, c_0101_12 + c_1100_1^5 + c_1100_1^4 + 2*c_1100_1^3 + 3*c_1100_1^2 + c_1100_1, c_0101_5 + c_1100_1^5 - c_1100_1^4 + 2*c_1100_1^3 - c_1100_1^2 - c_1100_1 + 1, c_0101_6 - c_1100_1^3 - c_1100_1^2 - c_1100_1 - 2, c_1001_0 + c_1100_1, c_1001_6 - 1/2*c_1100_1^5 - 1/2*c_1100_1^4 - c_1100_1^3 - 3/2*c_1100_1^2 - 1/2*c_1100_1 - 3/2, c_1100_1^6 + 3*c_1100_1^4 + c_1100_1^3 + 2*c_1100_1^2 + 2*c_1100_1 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0101_6, c_1001_0, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 71302819/168691*c_1100_1^9 + 324348911/337382*c_1100_1^8 + 10998242/9923*c_1100_1^7 + 1243110695/337382*c_1100_1^6 + 3236500418/168691*c_1100_1^5 + 11186259901/337382*c_1100_1^4 + 4595689121/168691*c_1100_1^3 + 2226961515/337382*c_1100_1^2 + 181004095/337382*c_1100_1 - 520365795/337382, c_0011_0 - 1, c_0011_10 + 29909/19846*c_1100_1^9 + 69825/19846*c_1100_1^8 + 81867/19846*c_1100_1^7 + 264577/19846*c_1100_1^6 + 1371403/19846*c_1100_1^5 + 2423731/19846*c_1100_1^4 + 2043731/19846*c_1100_1^3 + 274605/9923*c_1100_1^2 + 15708/9923*c_1100_1 - 102771/19846, c_0011_11 - 22841/9923*c_1100_1^9 - 104881/19846*c_1100_1^8 - 122539/19846*c_1100_1^7 - 200636/9923*c_1100_1^6 - 1041022/9923*c_1100_1^5 - 3631151/19846*c_1100_1^4 - 3039579/19846*c_1100_1^3 - 390880/9923*c_1100_1^2 - 64089/19846*c_1100_1 + 90991/9923, c_0011_12 - 59360/9923*c_1100_1^9 - 134490/9923*c_1100_1^8 - 309521/19846*c_1100_1^7 - 517129/9923*c_1100_1^6 - 5382179/19846*c_1100_1^5 - 9270749/19846*c_1100_1^4 - 7603187/19846*c_1100_1^3 - 1859599/19846*c_1100_1^2 - 93025/9923*c_1100_1 + 211394/9923, c_0101_0 - 59355/19846*c_1100_1^9 - 134477/19846*c_1100_1^8 - 155735/19846*c_1100_1^7 - 259333/9923*c_1100_1^6 - 2692789/19846*c_1100_1^5 - 2321009/9923*c_1100_1^4 - 1921536/9923*c_1100_1^3 - 982481/19846*c_1100_1^2 - 131595/19846*c_1100_1 + 218001/19846, c_0101_1 - 22841/9923*c_1100_1^9 - 104881/19846*c_1100_1^8 - 122539/19846*c_1100_1^7 - 200636/9923*c_1100_1^6 - 1041022/9923*c_1100_1^5 - 3631151/19846*c_1100_1^4 - 3039579/19846*c_1100_1^3 - 390880/9923*c_1100_1^2 - 64089/19846*c_1100_1 + 81068/9923, c_0101_10 - 29909/19846*c_1100_1^9 - 69825/19846*c_1100_1^8 - 81867/19846*c_1100_1^7 - 264577/19846*c_1100_1^6 - 1371403/19846*c_1100_1^5 - 2423731/19846*c_1100_1^4 - 2043731/19846*c_1100_1^3 - 274605/9923*c_1100_1^2 - 15708/9923*c_1100_1 + 102771/19846, c_0101_12 - 22841/9923*c_1100_1^9 - 104881/19846*c_1100_1^8 - 122539/19846*c_1100_1^7 - 200636/9923*c_1100_1^6 - 1041022/9923*c_1100_1^5 - 3631151/19846*c_1100_1^4 - 3039579/19846*c_1100_1^3 - 390880/9923*c_1100_1^2 - 64089/19846*c_1100_1 + 90991/9923, c_0101_5 - 59360/9923*c_1100_1^9 - 134490/9923*c_1100_1^8 - 309521/19846*c_1100_1^7 - 517129/9923*c_1100_1^6 - 5382179/19846*c_1100_1^5 - 9270749/19846*c_1100_1^4 - 7603187/19846*c_1100_1^3 - 1859599/19846*c_1100_1^2 - 93025/9923*c_1100_1 + 211394/9923, c_0101_6 - 144963/19846*c_1100_1^9 - 165629/9923*c_1100_1^8 - 383497/19846*c_1100_1^7 - 1266757/19846*c_1100_1^6 - 3296287/9923*c_1100_1^5 - 11441257/19846*c_1100_1^4 - 9452453/19846*c_1100_1^3 - 2329231/19846*c_1100_1^2 - 186671/19846*c_1100_1 + 519449/19846, c_1001_0 - 178085/19846*c_1100_1^9 - 403483/19846*c_1100_1^8 - 463307/19846*c_1100_1^7 - 774925/9923*c_1100_1^6 - 8071569/19846*c_1100_1^5 - 6949740/9923*c_1100_1^4 - 5681651/9923*c_1100_1^3 - 2736717/19846*c_1100_1^2 - 260351/19846*c_1100_1 + 627575/19846, c_1001_6 - 119189/19846*c_1100_1^9 - 136092/9923*c_1100_1^8 - 157183/9923*c_1100_1^7 - 1040917/19846*c_1100_1^6 - 5418249/19846*c_1100_1^5 - 4696403/9923*c_1100_1^4 - 3871117/9923*c_1100_1^3 - 949214/9923*c_1100_1^2 - 130541/19846*c_1100_1 + 430185/19846, c_1100_1^10 + 2*c_1100_1^9 + 2*c_1100_1^8 + 8*c_1100_1^7 + 43*c_1100_1^6 + 66*c_1100_1^5 + 43*c_1100_1^4 - 2*c_1100_1^3 - 3*c_1100_1^2 - 4*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.140 Total time: 1.360 seconds, Total memory usage: 32.09MB