Magma V2.19-8 Tue Aug 20 2013 16:14:19 on localhost [Seed = 458917695] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s303 geometric_solution 4.46683251 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 0 -1 0 0 1 -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 -1 0 1 0 0 -1 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 0.407920114156 0.221383702585 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 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 -1 0 0 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 0.698384416150 0.806350160249 1 3 4 3 0132 0213 0132 1230 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 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 0.769270631803 0.741315203567 2 4 2 1 3012 1023 0213 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769270631803 0.741315203567 3 5 5 2 1023 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.145216694004 0.428163108145 5 4 4 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.549399146348 0.260672446273 ==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_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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 1017796545/792763*c_0101_5^16 + 1540362446/792763*c_0101_5^15 + 313327486/792763*c_0101_5^14 + 3791688817/792763*c_0101_5^13 - 10111493509/792763*c_0101_5^12 + 9915699500/792763*c_0101_5^11 + 31354766704/792763*c_0101_5^10 - 95291558666/792763*c_0101_5^9 + 7722498274/792763*c_0101_5^8 + 156106434210/792763*c_0101_5^7 - 93431264450/792763*c_0101_5^6 - 121025596866/792763*c_0101_5^5 + 89795209406/792763*c_0101_5^4 + 51317953702/792763*c_0101_5^3 - 26241001617/792763*c_0101_5^2 - 6861443228/792763*c_0101_5 + 2744963637/792763, c_0011_0 - 1, c_0011_1 - 536224/792763*c_0101_5^16 - 1010527/792763*c_0101_5^15 + 3664850/792763*c_0101_5^14 + 218893/792763*c_0101_5^13 + 4008978/792763*c_0101_5^12 - 17699319/792763*c_0101_5^11 + 48308605/792763*c_0101_5^10 - 18760079/792763*c_0101_5^9 - 162659021/792763*c_0101_5^8 + 178921134/792763*c_0101_5^7 + 105272522/792763*c_0101_5^6 - 238092052/792763*c_0101_5^5 - 24120543/792763*c_0101_5^4 + 119628088/792763*c_0101_5^3 + 15051229/792763*c_0101_5^2 - 12782283/792763*c_0101_5 - 195777/792763, c_0011_3 + 30978551/792763*c_0101_5^16 - 53779907/792763*c_0101_5^15 + 10780066/792763*c_0101_5^14 - 135502337/792763*c_0101_5^13 + 348262843/792763*c_0101_5^12 - 421096698/792763*c_0101_5^11 - 750171951/792763*c_0101_5^10 + 2908610826/792763*c_0101_5^9 - 1015581130/792763*c_0101_5^8 - 3701293235/792763*c_0101_5^7 + 3064902308/792763*c_0101_5^6 + 2299827397/792763*c_0101_5^5 - 2188912695/792763*c_0101_5^4 - 927766114/792763*c_0101_5^3 + 440439350/792763*c_0101_5^2 + 101766472/792763*c_0101_5 - 33626420/792763, c_0101_0 + 11580076/792763*c_0101_5^16 - 17493935/792763*c_0101_5^15 - 2118099/792763*c_0101_5^14 - 45976176/792763*c_0101_5^13 + 116075157/792763*c_0101_5^12 - 119527555/792763*c_0101_5^11 - 339083415/792763*c_0101_5^10 + 1059250404/792763*c_0101_5^9 - 115331831/792763*c_0101_5^8 - 1633886508/792763*c_0101_5^7 + 982523094/792763*c_0101_5^6 + 1229917914/792763*c_0101_5^5 - 852437001/792763*c_0101_5^4 - 522159259/792763*c_0101_5^3 + 198596242/792763*c_0101_5^2 + 61711730/792763*c_0101_5 - 18052146/792763, c_0101_4 + 31178990/792763*c_0101_5^16 - 56331445/792763*c_0101_5^15 + 16691720/792763*c_0101_5^14 - 141454090/792763*c_0101_5^13 + 362698367/792763*c_0101_5^12 - 458646924/792763*c_0101_5^11 - 698362722/792763*c_0101_5^10 + 2942197014/792763*c_0101_5^9 - 1261140590/792763*c_0101_5^8 - 3452284890/792763*c_0101_5^7 + 3198534290/792763*c_0101_5^6 + 1927587283/792763*c_0101_5^5 - 2103440285/792763*c_0101_5^4 - 749322652/792763*c_0101_5^3 + 369458766/792763*c_0101_5^2 + 74086955/792763*c_0101_5 - 23162147/792763, c_0101_5^17 - c_0101_5^16 - c_0101_5^15 - 4*c_0101_5^14 + 8*c_0101_5^13 - 5*c_0101_5^12 - 35*c_0101_5^11 + 77*c_0101_5^10 + 38*c_0101_5^9 - 150*c_0101_5^8 + 13*c_0101_5^7 + 155*c_0101_5^6 - 22*c_0101_5^5 - 87*c_0101_5^4 - 4*c_0101_5^3 + 16*c_0101_5^2 + c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB