Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 3718005238] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0026 geometric_solution 3.59541638 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 1023 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 -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 0.308614555199 0.145574727716 0 0 1 1 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543428134040 0.025768423916 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 1 -1 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 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 -3.694080006488 10.118055550149 2 4 5 6 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 -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 0.274326716038 0.503977153184 6 5 3 2 0132 0213 2310 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 1 0 0 -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 0.214518555257 0.101057890967 6 6 4 3 3201 3120 0213 0132 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 1 -1 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 0.795462458098 0.413184584243 4 5 3 5 0132 3120 0132 2310 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 -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 0.795462458098 0.413184584243 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : d['c_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_5'], '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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1109823810375/9142872064*c_1001_4^13 + 4065930682115/4571436032*c_1001_4^12 + 6925808570415/2285718016*c_1001_4^11 + 31058660360483/4571436032*c_1001_4^10 + 101982903470023/9142872064*c_1001_4^9 + 60916385887419/4571436032*c_1001_4^8 + 15583693234595/1142859008*c_1001_4^7 + 2836800700063/285714752*c_1001_4^6 + 7395808500861/1142859008*c_1001_4^5 + 26603454342929/9142872064*c_1001_4^4 + 9423934307569/9142872064*c_1001_4^3 + 665825570305/2285718016*c_1001_4^2 - 282990167009/9142872064*c_1001_4 + 150676309231/9142872064, c_0011_0 - 1, c_0011_4 + 1785317849/571429504*c_1001_4^13 + 5528758885/285714752*c_1001_4^12 + 7937784957/142857376*c_1001_4^11 + 31271753845/285714752*c_1001_4^10 + 90149616105/571429504*c_1001_4^9 + 44583217077/285714752*c_1001_4^8 + 11893097717/71428688*c_1001_4^7 + 1209515111/17857172*c_1001_4^6 + 6497424267/71428688*c_1001_4^5 - 1854814193/571429504*c_1001_4^4 + 19446806303/571429504*c_1001_4^3 - 985394457/142857376*c_1001_4^2 + 3867386209/571429504*c_1001_4 - 275917279/571429504, c_0011_5 - 575317729/285714752*c_1001_4^13 - 1627902933/142857376*c_1001_4^12 - 2059739681/71428688*c_1001_4^11 - 7175307253/142857376*c_1001_4^10 - 17914135873/285714752*c_1001_4^9 - 6502149549/142857376*c_1001_4^8 - 1898312725/35714344*c_1001_4^7 + 127062691/8928586*c_1001_4^6 - 815580435/35714344*c_1001_4^5 + 9598751929/285714752*c_1001_4^4 - 1399531143/285714752*c_1001_4^3 + 1005343337/71428688*c_1001_4^2 - 34691017/285714752*c_1001_4 + 459296679/285714752, c_0101_0 - 2804412051/571429504*c_1001_4^13 - 9982755643/285714752*c_1001_4^12 - 16661460421/142857376*c_1001_4^11 - 74454015011/285714752*c_1001_4^10 - 246372413515/571429504*c_1001_4^9 - 150023334703/285714752*c_1001_4^8 - 40278740267/71428688*c_1001_4^7 - 1890779663/4464293*c_1001_4^6 - 22013004053/71428688*c_1001_4^5 - 81021988869/571429504*c_1001_4^4 - 36268593325/571429504*c_1001_4^3 - 2439469745/142857376*c_1001_4^2 - 687667163/571429504*c_1001_4 - 834237475/571429504, c_0101_1 + 5109278153/1142859008*c_1001_4^13 + 19510795789/571429504*c_1001_4^12 + 34974567969/285714752*c_1001_4^11 + 165620119405/571429504*c_1001_4^10 + 577609013321/1142859008*c_1001_4^9 + 373911662229/571429504*c_1001_4^8 + 101336475469/142857376*c_1001_4^7 + 20704020753/35714344*c_1001_4^6 + 57487139859/142857376*c_1001_4^5 + 245746663775/1142859008*c_1001_4^4 + 95424148735/1142859008*c_1001_4^3 + 8901066703/285714752*c_1001_4^2 + 1472789233/1142859008*c_1001_4 + 1903156897/1142859008, c_0101_2 - 342912661/142857376*c_1001_4^13 - 1476013857/71428688*c_1001_4^12 - 2858613417/35714344*c_1001_4^11 - 13940805585/71428688*c_1001_4^10 - 49158437253/142857376*c_1001_4^9 - 31918922721/71428688*c_1001_4^8 - 8186174841/17857172*c_1001_4^7 - 1719627651/4464293*c_1001_4^6 - 3938658727/17857172*c_1001_4^5 - 19185137171/142857376*c_1001_4^4 - 3634008803/142857376*c_1001_4^3 - 600533283/35714344*c_1001_4^2 + 657706627/142857376*c_1001_4 - 91004989/142857376, c_1001_4^14 + 47/7*c_1001_4^13 + 150/7*c_1001_4^12 + 330/7*c_1001_4^11 + 545/7*c_1001_4^10 + 671/7*c_1001_4^9 + 110*c_1001_4^8 + 584/7*c_1001_4^7 + 520/7*c_1001_4^6 + 233/7*c_1001_4^5 + 176/7*c_1001_4^4 + 5*c_1001_4^3 + 27/7*c_1001_4^2 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB