Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 3204391538] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0371 geometric_solution 4.42616234 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 -1 1 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 1 0 -1 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 2.175189033702 0.413026157518 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 0 0 0 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 -1 0 1 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 -0.213317694536 0.983861797978 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 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 -0.364078867980 0.257001033040 4 4 5 2 1230 3012 0132 0132 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 0 0 0 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 1.359158673352 1.630144949469 3 3 2 5 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 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 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 1.359158673352 1.630144949469 6 6 4 3 0132 3201 0132 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209402459691 0.451978041202 5 6 5 6 0132 1302 2310 2031 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 -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 0.013602095190 2.199977202664 ==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' : negation(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' : negation(d['1']), 's_1_1' : negation(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' : negation(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_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], '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_3'], 'c_0011_6' : negation(d['c_0011_5']), '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_0'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_1'], '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_5, c_0101_0, c_0101_1, c_0101_3, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 28205513/10828898*c_1100_2^9 + 1183092777/86631184*c_1100_2^8 + 1672642627/86631184*c_1100_2^7 + 58046423/86631184*c_1100_2^6 - 6355100215/86631184*c_1100_2^5 - 12789851747/86631184*c_1100_2^4 - 784533011/10828898*c_1100_2^3 + 82806944/5414449*c_1100_2^2 + 1093726333/21657796*c_1100_2 + 48355231/5414449, c_0011_0 - 1, c_0011_3 + 19535285/4559536*c_1100_2^9 + 11941855/1139884*c_1100_2^8 + 2416359/284971*c_1100_2^7 - 39049837/2279768*c_1100_2^6 - 83965935/1139884*c_1100_2^5 - 301779981/4559536*c_1100_2^4 + 9277641/2279768*c_1100_2^3 + 19933819/569942*c_1100_2^2 + 17202043/1139884*c_1100_2 - 4952843/569942, c_0011_5 + 10251577/4559536*c_1100_2^9 + 24090867/4559536*c_1100_2^8 + 16852743/4559536*c_1100_2^7 - 45530023/4559536*c_1100_2^6 - 175492939/4559536*c_1100_2^5 - 17467719/569942*c_1100_2^4 + 2609957/284971*c_1100_2^3 + 26073633/1139884*c_1100_2^2 + 2510826/284971*c_1100_2 - 1347492/284971, c_0101_0 + 9613919/4559536*c_1100_2^9 + 24386941/4559536*c_1100_2^8 + 22306515/4559536*c_1100_2^7 - 34687699/4559536*c_1100_2^6 - 167666127/4559536*c_1100_2^5 - 84060515/2279768*c_1100_2^4 - 9550407/2279768*c_1100_2^3 + 17776827/1139884*c_1100_2^2 + 5442869/569942*c_1100_2 - 1840587/569942, c_0101_1 + 53333/134104*c_1100_2^9 + 363121/268208*c_1100_2^8 + 439641/268208*c_1100_2^7 - 199239/268208*c_1100_2^6 - 2151217/268208*c_1100_2^5 - 3218059/268208*c_1100_2^4 - 705685/134104*c_1100_2^3 + 68687/67052*c_1100_2^2 + 130573/67052*c_1100_2 + 4933/33526, c_0101_3 - 24088113/4559536*c_1100_2^9 - 29974625/2279768*c_1100_2^8 - 25279361/2279768*c_1100_2^7 + 11757797/569942*c_1100_2^6 + 209398683/2279768*c_1100_2^5 + 390941659/4559536*c_1100_2^4 - 1489509/2279768*c_1100_2^3 - 24908539/569942*c_1100_2^2 - 24222769/1139884*c_1100_2 + 5588587/569942, c_1100_2^10 + 25/7*c_1100_2^9 + 33/7*c_1100_2^8 - 13/7*c_1100_2^7 - 153/7*c_1100_2^6 - 244/7*c_1100_2^5 - 16*c_1100_2^4 + 72/7*c_1100_2^3 + 96/7*c_1100_2^2 + 16/7*c_1100_2 - 16/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB