Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 1848636186] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2908 geometric_solution 6.11352720 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 1 0 -1 0 0 0 0 2 -1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042549070586 0.813395148027 0 2 4 2 0132 3012 0132 1302 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 1 0 -1 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790860088178 0.562509499845 1 0 1 5 1230 0132 2031 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 -1 1 0 -1 0 1 0 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790860088178 0.562509499845 0 6 6 0 3201 0132 3201 0132 0 0 0 0 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 0 0 0 1 0 -1 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.693914770504 0.840463725924 5 5 6 1 1023 3012 1023 0132 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562197591391 0.533450803515 4 4 2 6 1230 1023 0132 1023 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562197591391 0.533450803515 3 3 4 5 2310 0132 1023 1023 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289515327423 0.566988864938 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(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_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' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 4279037893/1983689*c_0101_4^14 - 159888558717/9918445*c_0101_4^13 - 81568645233/1983689*c_0101_4^12 - 234393898079/9918445*c_0101_4^11 + 187310974032/1983689*c_0101_4^10 + 504652729258/1983689*c_0101_4^9 + 2542910839672/9918445*c_0101_4^8 - 848006019759/9918445*c_0101_4^7 - 4666779682384/9918445*c_0101_4^6 - 3617022908427/9918445*c_0101_4^5 - 554027668883/9918445*c_0101_4^4 + 206506792656/9918445*c_0101_4^3 + 40567866687/9918445*c_0101_4^2 + 85370558147/9918445*c_0101_4 + 40622573832/9918445, c_0011_0 - 1, c_0011_3 + 8699967/1983689*c_0101_4^14 + 64697790/1983689*c_0101_4^13 + 163583568/1983689*c_0101_4^12 + 90011404/1983689*c_0101_4^11 - 382989156/1983689*c_0101_4^10 - 1013028913/1983689*c_0101_4^9 - 1002143119/1983689*c_0101_4^8 + 375190574/1983689*c_0101_4^7 + 1884315273/1983689*c_0101_4^6 + 1416316031/1983689*c_0101_4^5 + 185987312/1983689*c_0101_4^4 - 99600250/1983689*c_0101_4^3 - 20251143/1983689*c_0101_4^2 - 33615574/1983689*c_0101_4 - 15320335/1983689, c_0011_4 - 26301229/1983689*c_0101_4^14 - 195563987/1983689*c_0101_4^13 - 494295092/1983689*c_0101_4^12 - 271631543/1983689*c_0101_4^11 + 1156490761/1983689*c_0101_4^10 + 3056550452/1983689*c_0101_4^9 + 3024832250/1983689*c_0101_4^8 - 1125147322/1983689*c_0101_4^7 - 5669018682/1983689*c_0101_4^6 - 4254005372/1983689*c_0101_4^5 - 582776809/1983689*c_0101_4^4 + 244738171/1983689*c_0101_4^3 + 46972161/1983689*c_0101_4^2 + 104445747/1983689*c_0101_4 + 47268575/1983689, c_0101_0 - 17814960/1983689*c_0101_4^14 - 134224343/1983689*c_0101_4^13 - 347128670/1983689*c_0101_4^12 - 211724730/1983689*c_0101_4^11 + 777119714/1983689*c_0101_4^10 + 2150356913/1983689*c_0101_4^9 + 2219162083/1983689*c_0101_4^8 - 632199200/1983689*c_0101_4^7 - 3970477355/1983689*c_0101_4^6 - 3205899043/1983689*c_0101_4^5 - 544128380/1983689*c_0101_4^4 + 186927732/1983689*c_0101_4^3 + 41835330/1983689*c_0101_4^2 + 75765514/1983689*c_0101_4 + 37472645/1983689, c_0101_1 + c_0101_4, c_0101_2 - 32962436/1983689*c_0101_4^14 - 248552012/1983689*c_0101_4^13 - 643808359/1983689*c_0101_4^12 - 395531467/1983689*c_0101_4^11 + 1436379305/1983689*c_0101_4^10 + 3988443885/1983689*c_0101_4^9 + 4128113944/1983689*c_0101_4^8 - 1150815833/1983689*c_0101_4^7 - 7359405571/1983689*c_0101_4^6 - 5972403608/1983689*c_0101_4^5 - 1024175575/1983689*c_0101_4^4 + 348197451/1983689*c_0101_4^3 + 69467333/1983689*c_0101_4^2 + 137180177/1983689*c_0101_4 + 70435081/1983689, c_0101_4^15 + 8*c_0101_4^14 + 23*c_0101_4^13 + 21*c_0101_4^12 - 38*c_0101_4^11 - 141*c_0101_4^10 - 181*c_0101_4^9 - 23*c_0101_4^8 + 239*c_0101_4^7 + 284*c_0101_4^6 + 115*c_0101_4^5 + 4*c_0101_4^4 - 7*c_0101_4^3 - 5*c_0101_4^2 - 4*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB