Magma V2.19-8 Tue Aug 20 2013 16:14:24 on localhost [Seed = 2446331283] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s402 geometric_solution 4.65344163 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505195976927 0.635017913387 0 3 3 4 0132 0321 1302 0132 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 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -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 0.758064564512 0.792481115967 2 0 0 2 3201 0132 1023 2310 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 0 0 0 0 0 0 1.383529077856 0.545756179808 1 4 0 1 2031 2310 0132 0321 0 0 0 0 0 0 -1 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 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758064564512 0.792481115967 5 5 1 3 0132 3201 0132 3201 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 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 0.407016227557 0.406739711126 4 5 4 5 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.218025282753 0.504280158387 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : 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_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_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 56832275/27681629*c_0101_5^17 + 350019990/27681629*c_0101_5^16 - 561037825/27681629*c_0101_5^15 - 1016624528/27681629*c_0101_5^14 + 4761819192/27681629*c_0101_5^13 - 4491135991/27681629*c_0101_5^12 - 6788531526/27681629*c_0101_5^11 + 19418023656/27681629*c_0101_5^10 - 10648277913/27681629*c_0101_5^9 - 18271254261/27681629*c_0101_5^8 + 30536275654/27681629*c_0101_5^7 - 6704220991/27681629*c_0101_5^6 - 19960460698/27681629*c_0101_5^5 + 16266064120/27681629*c_0101_5^4 + 1856256681/27681629*c_0101_5^3 - 6321204050/27681629*c_0101_5^2 + 984149942/27681629*c_0101_5 + 935690922/27681629, c_0011_0 - 1, c_0011_3 - 32000717/55363258*c_0101_5^17 + 197367275/55363258*c_0101_5^16 - 312394797/55363258*c_0101_5^15 - 296387813/27681629*c_0101_5^14 + 1347718352/27681629*c_0101_5^13 - 1220034697/27681629*c_0101_5^12 - 2005007815/27681629*c_0101_5^11 + 10937420473/55363258*c_0101_5^10 - 5607569697/55363258*c_0101_5^9 - 10721728347/55363258*c_0101_5^8 + 8570400843/27681629*c_0101_5^7 - 3367823919/55363258*c_0101_5^6 - 5741586059/27681629*c_0101_5^5 + 9309737977/55363258*c_0101_5^4 + 382369333/27681629*c_0101_5^3 - 3525638361/55363258*c_0101_5^2 + 889001303/55363258*c_0101_5 + 220024783/55363258, c_0011_4 + 3484609/55363258*c_0101_5^17 - 26419787/55363258*c_0101_5^16 + 52593703/55363258*c_0101_5^15 + 42962862/27681629*c_0101_5^14 - 244027318/27681629*c_0101_5^13 + 242160557/27681629*c_0101_5^12 + 451287366/27681629*c_0101_5^11 - 2562983785/55363258*c_0101_5^10 + 1223697231/55363258*c_0101_5^9 + 3250763961/55363258*c_0101_5^8 - 2562393329/27681629*c_0101_5^7 + 717508001/55363258*c_0101_5^6 + 2192639091/27681629*c_0101_5^5 - 3533628139/55363258*c_0101_5^4 - 252216839/27681629*c_0101_5^3 + 1687160695/55363258*c_0101_5^2 - 383937279/55363258*c_0101_5 - 162578481/55363258, c_0101_0 + 5362973/55363258*c_0101_5^17 - 29751317/55363258*c_0101_5^16 + 39626341/55363258*c_0101_5^15 + 44070315/27681629*c_0101_5^14 - 167699274/27681629*c_0101_5^13 + 143047675/27681629*c_0101_5^12 + 193554934/27681629*c_0101_5^11 - 1088643859/55363258*c_0101_5^10 + 741972561/55363258*c_0101_5^9 + 533917715/55363258*c_0101_5^8 - 638097344/27681629*c_0101_5^7 + 780851127/55363258*c_0101_5^6 + 44223098/27681629*c_0101_5^5 - 480818627/55363258*c_0101_5^4 + 174863469/27681629*c_0101_5^3 - 97461433/55363258*c_0101_5^2 - 60962897/55363258*c_0101_5 + 35980953/55363258, c_0101_2 + 24953021/55363258*c_0101_5^17 - 158290719/55363258*c_0101_5^16 + 260608121/55363258*c_0101_5^15 + 239798021/27681629*c_0101_5^14 - 1136637864/27681629*c_0101_5^13 + 1047966443/27681629*c_0101_5^12 + 1767545552/27681629*c_0101_5^11 - 9708118365/55363258*c_0101_5^10 + 4868914649/55363258*c_0101_5^9 + 10141941587/55363258*c_0101_5^8 - 8038030714/27681629*c_0101_5^7 + 2901705325/55363258*c_0101_5^6 + 5745876263/27681629*c_0101_5^5 - 9286392101/55363258*c_0101_5^4 - 416086764/27681629*c_0101_5^3 + 3682668657/55363258*c_0101_5^2 - 943854249/55363258*c_0101_5 - 231500509/55363258, c_0101_5^18 - 7*c_0101_5^17 + 15*c_0101_5^16 + 10*c_0101_5^15 - 100*c_0101_5^14 + 150*c_0101_5^13 + 58*c_0101_5^12 - 455*c_0101_5^11 + 483*c_0101_5^10 + 183*c_0101_5^9 - 854*c_0101_5^8 + 601*c_0101_5^7 + 278*c_0101_5^6 - 647*c_0101_5^5 + 252*c_0101_5^4 + 145*c_0101_5^3 - 141*c_0101_5^2 + 19*c_0101_5 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB