Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 896838103] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0577 geometric_solution 4.59753524 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 0.504589120770 0.425387045055 2 0 3 0 0132 2310 0132 0132 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 1 -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 1.336938757261 0.551247235111 1 3 3 4 0132 1230 3012 0132 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.156124296719 0.666127141897 4 2 2 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 1 0 -1 0 -1 0 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 1 0 0 -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 1.156124296719 0.666127141897 5 5 2 3 0132 3201 0132 2310 0 0 0 0 0 -1 0 1 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 -1 0 1 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 0.414363059917 0.764299732762 4 6 4 6 0132 0132 2310 2310 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 -1.433511777077 0.971792105602 5 5 6 6 3201 0132 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 0.380848657289 0.044953069733 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], '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' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 14914172378919/1589356014700*c_0110_6^15 - 281027420659354/397339003675*c_0110_6^13 + 7859668380441059/794678007350*c_0110_6^11 - 29344944506851803/1589356014700*c_0110_6^9 + 2517954062522624/397339003675*c_0110_6^7 - 687092709380031/397339003675*c_0110_6^5 + 312316757933337/794678007350*c_0110_6^3 - 32101338694329/1589356014700*c_0110_6, c_0011_0 - 1, c_0011_1 - 5441075653/397339003675*c_0110_6^14 + 404934078442/397339003675*c_0110_6^12 - 5347619284366/397339003675*c_0110_6^10 + 5443145637236/397339003675*c_0110_6^8 + 3933151860298/397339003675*c_0110_6^6 + 1616949736863/397339003675*c_0110_6^4 + 728908944587/397339003675*c_0110_6^2 - 129651638602/397339003675, c_0011_4 - 3382991177/79467800735*c_0110_6^14 + 254600693493/79467800735*c_0110_6^12 - 3537216595554/79467800735*c_0110_6^10 + 6281328880369/79467800735*c_0110_6^8 - 1898760403293/79467800735*c_0110_6^6 + 789528515432/79467800735*c_0110_6^4 + 91580388563/79467800735*c_0110_6^2 + 13459742407/79467800735, c_0101_0 + 20815857546/397339003675*c_0110_6^15 - 1560242367569/397339003675*c_0110_6^13 + 21294175319637/397339003675*c_0110_6^11 - 32505935609527/397339003675*c_0110_6^9 + 6638447512639/397339003675*c_0110_6^7 - 13047230024091/397339003675*c_0110_6^5 - 104458854659/397339003675*c_0110_6^3 - 94295590236/397339003675*c_0110_6, c_0101_1 + 5876640809/397339003675*c_0110_6^14 - 442051779826/397339003675*c_0110_6^12 + 6126166475673/397339003675*c_0110_6^10 - 10538927683283/397339003675*c_0110_6^8 + 973337725356/397339003675*c_0110_6^6 + 974928405436/397339003675*c_0110_6^4 + 1016740865664/397339003675*c_0110_6^2 + 184491546856/397339003675, c_0101_3 + 106736804292/397339003675*c_0110_6^15 - 8019308083638/397339003675*c_0110_6^13 + 110566074506074/397339003675*c_0110_6^11 - 182989053393929/397339003675*c_0110_6^9 + 21676187585753/397339003675*c_0110_6^7 - 1656387900057/397339003675*c_0110_6^5 - 859224561318/397339003675*c_0110_6^3 - 76355954872/397339003675*c_0110_6, c_0110_6^16 - 75*c_0110_6^14 + 1026*c_0110_6^12 - 1579*c_0110_6^10 - 9*c_0110_6^8 - 20*c_0110_6^6 + 2*c_0110_6^4 + 3*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB