Magma V2.19-8 Wed Aug 21 2013 00:52:22 on localhost [Seed = 879894936] Type ? for help. Type -D to quit. Loading file "L12a1574__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1574 geometric_solution 11.32877367 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2310 0 2 2 0 0 0 0 0 1 0 -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 1 0 -1 5 0 -4 -1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816022232779 0.538989169614 0 2 5 4 0132 0321 0132 0132 0 2 0 2 0 0 0 0 -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 -1 0 1 -5 0 5 0 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442833966262 0.398122416374 0 0 3 1 3201 0132 0321 0321 0 2 0 2 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 -1 0 1 0 0 0 0 1 1 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567207384643 1.661715118439 4 5 2 0 0132 0132 0321 0132 0 2 0 2 0 0 0 0 -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 0 0 0 -4 0 0 4 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442833966262 0.398122416374 3 6 1 7 0132 0132 0132 0132 0 2 2 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 0 -1 1 4 0 0 -4 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751454269965 2.308639368151 8 3 9 1 0132 0132 0132 0132 0 2 2 0 0 0 0 0 1 0 0 -1 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 4 0 1 -5 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751454269965 2.308639368151 10 4 10 9 0132 0132 3120 0321 0 1 0 2 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 0 0 0 -4 0 3 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423641547666 0.573869809379 11 8 4 12 0132 2310 0132 0132 0 2 2 2 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 1 -1 0 -4 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219016155675 0.515321524810 5 10 11 7 0132 0132 0132 3201 2 2 0 2 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 0 0 0 -4 0 0 4 -1 2 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219016155675 0.515321524810 12 6 12 5 1302 0321 0132 0132 0 2 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 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423641547666 0.573869809379 6 8 6 12 0132 0132 3120 1230 2 1 2 0 0 0 0 0 1 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 0 0 0 0 4 0 -3 -1 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423641547666 0.573869809379 7 11 11 8 0132 3201 2310 0132 2 2 2 2 0 0 0 0 1 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 0 0 0 0 4 0 -4 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.698561867396 1.643641153189 10 9 7 9 3012 2031 0132 0132 0 2 1 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 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 0.423641547666 0.573869809379 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_5']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : d['1'], 'c_1100_12' : d['c_1100_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_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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_1'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : 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_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : negation(d['c_0011_9'])})} 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_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_1001_0, c_1001_1, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 65770711/2067947*c_1100_1^8 + 12172523/2067947*c_1100_1^7 - 55976269/2067947*c_1100_1^6 + 349362252/2067947*c_1100_1^5 + 941092310/2067947*c_1100_1^4 + 109758465/295421*c_1100_1^3 - 32271600/2067947*c_1100_1^2 - 879430343/2067947*c_1100_1 - 573198502/2067947, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 - 5200/6029*c_1100_1^8 + 5613/6029*c_1100_1^7 - 9749/6029*c_1100_1^6 + 35623/6029*c_1100_1^5 + 42482/6029*c_1100_1^4 + 23935/6029*c_1100_1^3 - 15298/6029*c_1100_1^2 - 42160/6029*c_1100_1 + 2247/6029, c_0011_12 - 1, c_0011_9 - 768/6029*c_1100_1^8 + 2109/6029*c_1100_1^7 - 2590/6029*c_1100_1^6 + 6634/6029*c_1100_1^5 - 1313/6029*c_1100_1^4 - 8894/6029*c_1100_1^3 - 5951/6029*c_1100_1^2 + 4811/6029*c_1100_1 + 8420/6029, c_0101_0 + 1249/6029*c_1100_1^8 - 2794/6029*c_1100_1^7 + 3537/6029*c_1100_1^6 - 11150/6029*c_1100_1^5 - 416/6029*c_1100_1^4 + 7509/6029*c_1100_1^3 + 16500/6029*c_1100_1^2 + 3912/6029*c_1100_1 - 17807/6029, c_0101_1 - 1, c_0101_11 - 3892/6029*c_1100_1^8 + 4753/6029*c_1100_1^7 - 8164/6029*c_1100_1^6 + 28281/6029*c_1100_1^5 + 26537/6029*c_1100_1^4 + 15155/6029*c_1100_1^3 - 14112/6029*c_1100_1^2 - 28216/6029*c_1100_1 + 9385/6029, c_0101_5 + 296/6029*c_1100_1^8 + 506/6029*c_1100_1^7 + 119/6029*c_1100_1^6 - 924/6029*c_1100_1^5 - 7093/6029*c_1100_1^4 - 11519/6029*c_1100_1^3 - 4175/6029*c_1100_1^2 + 5368/6029*c_1100_1 + 9064/6029, c_1001_0 - 1249/6029*c_1100_1^8 + 2794/6029*c_1100_1^7 - 3537/6029*c_1100_1^6 + 11150/6029*c_1100_1^5 + 416/6029*c_1100_1^4 - 7509/6029*c_1100_1^3 - 16500/6029*c_1100_1^2 - 3912/6029*c_1100_1 + 11778/6029, c_1001_1 - 1249/6029*c_1100_1^8 + 2794/6029*c_1100_1^7 - 3537/6029*c_1100_1^6 + 11150/6029*c_1100_1^5 + 416/6029*c_1100_1^4 - 7509/6029*c_1100_1^3 - 16500/6029*c_1100_1^2 - 3912/6029*c_1100_1 + 17807/6029, c_1001_10 - 296/6029*c_1100_1^8 - 506/6029*c_1100_1^7 - 119/6029*c_1100_1^6 + 924/6029*c_1100_1^5 + 7093/6029*c_1100_1^4 + 11519/6029*c_1100_1^3 + 4175/6029*c_1100_1^2 - 5368/6029*c_1100_1 - 9064/6029, c_1100_1^9 - c_1100_1^8 + c_1100_1^7 - 6*c_1100_1^6 - 10*c_1100_1^5 + 10*c_1100_1^3 + 13*c_1100_1^2 - 2*c_1100_1 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB