Magma V2.19-8 Tue Aug 20 2013 16:16:13 on localhost [Seed = 3313785092] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0474 geometric_solution 4.50184212 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 -1 0 1 -1 0 -1 2 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.430513915156 1.681316156532 0 3 0 2 0132 1302 2310 1302 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 -1 1 1 0 -1 0 1 -1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706452504914 0.345013173915 4 4 1 0 0132 3201 2031 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 -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 -0.242785446097 0.435028097807 5 5 0 1 0132 2310 0132 2031 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 -1 1 2 0 -2 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.322886028893 0.255744370140 2 4 2 4 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138407523843 2.153111185692 3 6 6 3 0132 0132 1023 3201 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.028359985181 0.961931089199 6 5 5 6 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 2.116657118790 0.465081297750 ==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' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : negation(d['c_1010_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : negation(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_2, c_0011_3, c_0101_0, c_0101_5, c_0101_6, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1311398745329/32448517641878*c_1010_1^8 - 9752665052957/64897035283756*c_1010_1^7 - 31161881558761/64897035283756*c_1010_1^6 - 753594577377/377308344673*c_1010_1^5 - 131402388384935/32448517641878*c_1010_1^4 - 624435372979049/64897035283756*c_1010_1^3 - 481448433628127/64897035283756*c_1010_1^2 - 1061667845503987/64897035283756*c_1010_1 + 833805650008631/64897035283756, c_0011_0 - 1, c_0011_2 - 3670059/707895581*c_1010_1^8 - 28082785/1415791162*c_1010_1^7 - 85707331/1415791162*c_1010_1^6 - 170078926/707895581*c_1010_1^5 - 700898767/1415791162*c_1010_1^4 - 1541263695/1415791162*c_1010_1^3 - 414886768/707895581*c_1010_1^2 - 879830422/707895581*c_1010_1 + 1890077841/1415791162, c_0011_3 + 1996885/2831582324*c_1010_1^8 + 5103181/1415791162*c_1010_1^7 + 11584194/707895581*c_1010_1^6 + 81148161/1415791162*c_1010_1^5 + 416497351/2831582324*c_1010_1^4 + 620719417/1415791162*c_1010_1^3 + 2028224169/2831582324*c_1010_1^2 + 2156734877/1415791162*c_1010_1 + 456967980/707895581, c_0101_0 - 17140697/2831582324*c_1010_1^8 - 78459241/2831582324*c_1010_1^7 - 243744553/2831582324*c_1010_1^6 - 463145897/1415791162*c_1010_1^5 - 2261566381/2831582324*c_1010_1^4 - 4825557303/2831582324*c_1010_1^3 - 1241978598/707895581*c_1010_1^2 - 7361675623/2831582324*c_1010_1 + 1382377545/2831582324, c_0101_5 - 14690351/2831582324*c_1010_1^8 - 13116665/707895581*c_1010_1^7 - 177776907/2831582324*c_1010_1^6 - 199558167/707895581*c_1010_1^5 - 1652691757/2831582324*c_1010_1^4 - 2072504645/1415791162*c_1010_1^3 - 2322174959/1415791162*c_1010_1^2 - 4405282157/1415791162*c_1010_1 + 1418507975/2831582324, c_0101_6 + 2015357/707895581*c_1010_1^8 + 8000425/707895581*c_1010_1^7 + 111098333/2831582324*c_1010_1^6 + 228217231/1415791162*c_1010_1^5 + 536734637/1415791162*c_1010_1^4 + 1299038577/1415791162*c_1010_1^3 + 2220300707/2831582324*c_1010_1^2 + 1292856986/707895581*c_1010_1 - 1363074861/2831582324, c_1010_1^9 + 4*c_1010_1^8 + 13*c_1010_1^7 + 53*c_1010_1^6 + 115*c_1010_1^5 + 270*c_1010_1^4 + 258*c_1010_1^3 + 477*c_1010_1^2 - 183*c_1010_1 - 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB