Magma V2.19-8 Tue Aug 20 2013 16:17:25 on localhost [Seed = 1014866165] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1650 geometric_solution 5.39201053 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 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 0.492562687375 0.390426311319 3 4 2 0 0132 0132 2031 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 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 0.563993397476 0.655742030496 4 3 0 1 2310 3201 0132 1302 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 -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 0.563993397476 0.655742030496 1 5 2 5 0132 0132 2310 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.172736680942 1.259165304823 4 1 2 4 3012 0132 3201 1230 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 -1 0 1 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.246084976030 0.876559496710 6 3 6 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682767573851 0.265515206772 5 6 5 6 0132 2310 1023 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 0.771774553534 0.104228845252 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 92314476/2809091*c_0101_4*c_0101_6^10 + 363421524/2809091*c_0101_4*c_0101_6^9 + 1235436011/2809091*c_0101_4*c_0101_6^8 - 8652130426/2809091*c_0101_4*c_0101_6^7 + 16469659769/2809091*c_0101_4*c_0101_6^6 - 13981870852/2809091*c_0101_4*c_0101_6^5 + 6754538950/2809091*c_0101_4*c_0101_6^4 - 1170842449/2809091*c_0101_4*c_0101_6^3 - 3490258541/2809091*c_0101_4*c_0101_6^2 + 3073905886/2809091*c_0101_4*c_0101_6 - 502860519/2809091*c_0101_4, c_0011_0 - 1, c_0011_1 - 573746/2809091*c_0101_4*c_0101_6^10 + 1332412/2809091*c_0101_4*c_0101_6^9 + 10272150/2809091*c_0101_4*c_0101_6^8 - 38492112/2809091*c_0101_4*c_0101_6^7 + 33012602/2809091*c_0101_4*c_0101_6^6 + 472157/2809091*c_0101_4*c_0101_6^5 - 2319879/2809091*c_0101_4*c_0101_6^4 + 15498884/2809091*c_0101_4*c_0101_6^3 - 14078160/2809091*c_0101_4*c_0101_6^2 - 691468/2809091*c_0101_4*c_0101_6 - 1024783/2809091*c_0101_4, c_0101_1 - 573746/2809091*c_0101_6^10 + 1332412/2809091*c_0101_6^9 + 10272150/2809091*c_0101_6^8 - 38492112/2809091*c_0101_6^7 + 33012602/2809091*c_0101_6^6 + 472157/2809091*c_0101_6^5 - 2319879/2809091*c_0101_6^4 + 15498884/2809091*c_0101_6^3 - 14078160/2809091*c_0101_6^2 - 691468/2809091*c_0101_6 - 1024783/2809091, c_0101_2 - 1220374/2809091*c_0101_4*c_0101_6^10 + 3972998/2809091*c_0101_4*c_0101_6^9 + 18591144/2809091*c_0101_4*c_0101_6^8 - 100345731/2809091*c_0101_4*c_0101_6^7 + 156537276/2809091*c_0101_4*c_0101_6^6 - 113709043/2809091*c_0101_4*c_0101_6^5 + 60702101/2809091*c_0101_4*c_0101_6^4 - 1474134/2809091*c_0101_4*c_0101_6^3 - 31954387/2809091*c_0101_4*c_0101_6^2 + 15160935/2809091*c_0101_4*c_0101_6 - 4714772/2809091*c_0101_4, c_0101_4^2 - 751601/2809091*c_0101_6^10 + 2179118/2809091*c_0101_6^9 + 12275682/2809091*c_0101_6^8 - 57475435/2809091*c_0101_6^7 + 74881331/2809091*c_0101_6^6 - 41202475/2809091*c_0101_6^5 + 24866211/2809091*c_0101_6^4 + 3687672/2809091*c_0101_6^3 - 23396474/2809091*c_0101_6^2 + 3499193/2809091*c_0101_6 - 4169470/2809091, c_0101_5 + 577220/2809091*c_0101_6^10 - 1617469/2809091*c_0101_6^9 - 9588649/2809091*c_0101_6^8 + 43159868/2809091*c_0101_6^7 - 53514094/2809091*c_0101_6^6 + 27291511/2809091*c_0101_6^5 - 12884418/2809091*c_0101_6^4 - 12279080/2809091*c_0101_6^3 + 16577098/2809091*c_0101_6^2 - 3948947/2809091*c_0101_6 + 2741953/2809091, c_0101_6^11 - 3*c_0101_6^10 - 16*c_0101_6^9 + 78*c_0101_6^8 - 108*c_0101_6^7 + 68*c_0101_6^6 - 42*c_0101_6^5 + 25*c_0101_6^3 - 8*c_0101_6^2 + 5*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB