Magma V2.19-8 Tue Aug 20 2013 23:47:30 on localhost [Seed = 3769010872] Type ? for help. Type -D to quit. Loading file "L10n53__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n53 geometric_solution 11.45958725 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 1 -1 -1 0 0 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 0.851408018869 0.554910228939 0 5 7 6 0132 0132 0132 0132 1 0 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 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 0.675648018375 0.537276296102 8 0 9 9 0132 0132 2103 0132 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 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 0.826552048042 0.922810494919 7 5 4 0 0132 3012 2103 0132 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 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724524083093 0.757127023495 3 10 0 9 2103 0132 0132 2103 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 0 0 0 -1 1 0 0 0 -1 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 0.826552048042 0.922810494919 3 1 9 10 1230 0132 2310 0213 1 1 1 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 -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 0.594774161753 0.684849407904 7 10 1 11 2103 0213 0132 0132 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 0 0 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 0.823500037922 1.364095412636 3 11 6 1 0132 0132 2103 0132 1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604451995605 0.586485535914 2 10 11 11 0132 1023 0132 3120 1 0 1 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 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 0.730208021342 0.643079893120 2 5 2 4 2103 3201 0132 2103 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 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 0.461448037371 0.601270548359 8 4 6 5 1023 0132 0213 0213 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 1 -1 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 0.862677590585 0.673642601559 8 7 6 8 3120 0132 0132 0132 1 0 1 1 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 1 -1 0 0 1 -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 0.554740053951 1.322286067875 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], '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' : negation(d['1']), 's_2_7' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0011_10' : d['c_0011_0'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : negation(d['c_0110_4']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_1001_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0110_4'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0110_4, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 7/2*c_1001_1^4 + 27/2*c_1001_1^3 + 39/2*c_1001_1^2 + 21/2*c_1001_1 - 1, c_0011_0 - 1, c_0011_11 + c_1001_1^4 + 4*c_1001_1^3 + 5*c_1001_1^2 + 2*c_1001_1 + 1, c_0011_6 - c_1001_1^4 - 3*c_1001_1^3 - 3*c_1001_1^2 - c_1001_1 - 1, c_0011_9 - c_1001_1^3 - 3*c_1001_1^2 - 2*c_1001_1 - 1, c_0101_0 - 1, c_0101_1 - c_1001_1^2 - 2*c_1001_1, c_0101_11 + c_1001_1^2 + c_1001_1, c_0101_2 - c_1001_1^4 - 3*c_1001_1^3 - 3*c_1001_1^2 - c_1001_1, c_0101_5 + c_1001_1^3 + 3*c_1001_1^2 + 2*c_1001_1, c_0110_4 - c_1001_1^4 - 3*c_1001_1^3 - 3*c_1001_1^2 - c_1001_1, c_1001_1^5 + 4*c_1001_1^4 + 6*c_1001_1^3 + 4*c_1001_1^2 + c_1001_1 + 1, c_1001_10 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0110_4, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 8255/333*c_1001_10^5 + 57127/2997*c_1001_10^4 - 73298/2997*c_1001_10^3 - 2372/2997*c_1001_10^2 + 133009/2997*c_1001_10 + 32755/2997, c_0011_0 - 1, c_0011_11 + 135/37*c_1001_10^5 + 183/37*c_1001_10^4 - 68/37*c_1001_10^3 - 85/37*c_1001_10^2 + 218/37*c_1001_10 + 156/37, c_0011_6 - 117/37*c_1001_10^5 - 260/37*c_1001_10^4 + 13/37*c_1001_10^3 + 144/37*c_1001_10^2 - 225/37*c_1001_10 - 244/37, c_0011_9 + 81/37*c_1001_10^5 + 108/37*c_1001_10^4 - 16/37*c_1001_10^3 - 48/37*c_1001_10^2 + 89/37*c_1001_10 + 77/37, c_0101_0 - 1, c_0101_1 - 909/407*c_1001_10^5 - 922/407*c_1001_10^4 + 291/407*c_1001_10^3 + 413/407*c_1001_10^2 - 1097/407*c_1001_10 - 718/407, c_0101_11 - 1197/407*c_1001_10^5 - 824/407*c_1001_10^4 + 811/407*c_1001_10^3 - 195/407*c_1001_10^2 - 1456/407*c_1001_10 - 10/11, c_0101_2 - 171/407*c_1001_10^5 - 443/407*c_1001_10^4 - 112/407*c_1001_10^3 - 9/407*c_1001_10^2 - 87/407*c_1001_10 - 320/407, c_0101_5 + c_1001_10 + 1, c_0110_4 + 1080/407*c_1001_10^5 + 1365/407*c_1001_10^4 - 179/407*c_1001_10^3 - 404/407*c_1001_10^2 + 32/11*c_1001_10 + 1038/407, c_1001_1 - 9/37*c_1001_10^5 + 25/37*c_1001_10^4 + 47/37*c_1001_10^3 - 44/37*c_1001_10^2 - 14/37*c_1001_10 + 49/37, c_1001_10^6 + 20/9*c_1001_10^5 + 8/9*c_1001_10^4 - 7/9*c_1001_10^3 + 8/9*c_1001_10^2 + 20/9*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB