Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 1208604024] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2679 geometric_solution 5.94061303 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170121287251 1.342529987475 0 1 5 1 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562885322408 0.668301284146 5 0 2 2 2310 0132 2031 1302 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 0 -1 1 0 0 -1 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451031548734 0.350404913758 4 6 6 0 0213 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009818675561 1.353366530751 3 5 0 6 0213 1023 0132 3120 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.635044014338 0.668384265334 4 6 2 1 1023 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170121287251 1.342529987475 4 3 3 5 3120 0132 3120 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009818675561 1.353366530751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 9990616976/443832263*c_0101_6^13 + 66816822337/443832263*c_0101_6^12 - 144290331541/443832263*c_0101_6^11 + 39859044378/63404609*c_0101_6^10 - 272154005023/443832263*c_0101_6^9 - 1160156480116/443832263*c_0101_6^8 + 20217223422/63404609*c_0101_6^7 + 43253882810/63404609*c_0101_6^6 + 26079308667/443832263*c_0101_6^5 + 97992990843/443832263*c_0101_6^4 + 7981935763/443832263*c_0101_6^3 + 3060470795/63404609*c_0101_6^2 - 85064506852/443832263*c_0101_6 + 31755267953/443832263, c_0011_0 - 1, c_0011_3 - 25686491/126809218*c_0101_6^13 + 64814729/63404609*c_0101_6^12 - 93808749/126809218*c_0101_6^11 + 66878406/63404609*c_0101_6^10 + 231201833/63404609*c_0101_6^9 - 4151835535/126809218*c_0101_6^8 - 4342876027/126809218*c_0101_6^7 + 169284095/63404609*c_0101_6^6 + 979879233/126809218*c_0101_6^5 + 631358220/63404609*c_0101_6^4 + 883190555/126809218*c_0101_6^3 + 518174577/126809218*c_0101_6^2 - 52111916/63404609*c_0101_6 - 202820689/126809218, c_0011_4 + c_0101_6, c_0101_0 + 23563377/126809218*c_0101_6^13 - 129752653/126809218*c_0101_6^12 + 84882922/63404609*c_0101_6^11 - 178113328/63404609*c_0101_6^10 + 34486968/63404609*c_0101_6^9 + 3072456313/126809218*c_0101_6^8 + 1658483662/63404609*c_0101_6^7 + 291016820/63404609*c_0101_6^6 - 405075615/126809218*c_0101_6^5 - 277315843/126809218*c_0101_6^4 - 401078370/63404609*c_0101_6^3 - 449329707/126809218*c_0101_6^2 - 92376979/126809218*c_0101_6 + 34230617/63404609, c_0101_2 - 38400264/63404609*c_0101_6^13 + 201641465/63404609*c_0101_6^12 - 209139306/63404609*c_0101_6^11 + 420699229/63404609*c_0101_6^10 + 235888328/63404609*c_0101_6^9 - 5472333736/63404609*c_0101_6^8 - 6168857340/63404609*c_0101_6^7 - 1130981533/63404609*c_0101_6^6 + 701551197/63404609*c_0101_6^5 + 965303636/63404609*c_0101_6^4 + 809714121/63404609*c_0101_6^3 + 668227516/63404609*c_0101_6^2 + 8767805/63404609*c_0101_6 - 174978581/63404609, c_0101_5 + 62613943/63404609*c_0101_6^13 - 334145559/63404609*c_0101_6^12 + 380006918/63404609*c_0101_6^11 - 778503775/63404609*c_0101_6^10 - 222629226/63404609*c_0101_6^9 + 8742580230/63404609*c_0101_6^8 + 9400665687/63404609*c_0101_6^7 + 2342144769/63404609*c_0101_6^6 - 387391318/63404609*c_0101_6^5 - 1088460918/63404609*c_0101_6^4 - 1031643760/63404609*c_0101_6^3 - 960932757/63404609*c_0101_6^2 + 14739578/63404609*c_0101_6 + 185156522/63404609, c_0101_6^14 - 6*c_0101_6^13 + 10*c_0101_6^12 - 19*c_0101_6^11 + 10*c_0101_6^10 + 131*c_0101_6^9 + 69*c_0101_6^8 - 21*c_0101_6^7 - 19*c_0101_6^6 - 14*c_0101_6^5 - 10*c_0101_6^4 - 6*c_0101_6^3 + 6*c_0101_6^2 + 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB