Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 3987501524] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0226 geometric_solution 4.08834857 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 0 0 0 0 0 -1 0 1 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 0.843188531174 0.713698898511 0 1 3 1 0132 2310 0321 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 -1 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 -0.701306744520 1.219937673620 4 0 4 0 0132 0132 1023 1023 0 0 0 0 0 1 0 -1 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 0.761329511363 0.185705098012 5 5 1 0 0132 2310 0321 0132 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 1 -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 0.293678659273 1.336625039028 2 6 2 6 0132 0132 1023 1023 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 0 0 0 0.816183157923 0.087989928050 3 6 6 3 0132 2031 3120 3201 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 0 0 0 0 0 0 0 0 -0.239730245075 0.302397612642 5 4 5 4 1302 0132 3120 1023 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 0.816183157923 0.087989928050 ==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' : negation(d['c_0101_0']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_4']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1080723/1641385*c_0110_6^8 - 2350656/1641385*c_0110_6^7 + 5115808/1641385*c_0110_6^6 - 19337674/1641385*c_0110_6^5 + 20723667/1641385*c_0110_6^4 + 15553538/1641385*c_0110_6^3 - 20309873/1641385*c_0110_6^2 + 5475738/1641385*c_0110_6 - 14484827/1641385, c_0011_0 - 1, c_0011_3 + 978/328277*c_0110_6^8 + 173337/328277*c_0110_6^7 + 36935/328277*c_0110_6^6 + 884886/328277*c_0110_6^5 - 1406465/328277*c_0110_6^4 - 240347/328277*c_0110_6^3 - 257772/328277*c_0110_6^2 - 764291/328277*c_0110_6 + 70717/328277, c_0101_0 - 173337/328277*c_0110_6^8 - 31719/328277*c_0110_6^7 - 894014/328277*c_0110_6^6 + 1407769/328277*c_0110_6^5 + 236109/328277*c_0110_6^4 + 255490/328277*c_0110_6^3 + 1093220/328277*c_0110_6^2 - 71043/328277*c_0110_6 + 326/328277, c_0101_1 + 8256/328277*c_0110_6^8 - 307017/328277*c_0110_6^7 - 26552/328277*c_0110_6^6 - 1663393/328277*c_0110_6^5 + 2530928/328277*c_0110_6^4 + 430115/328277*c_0110_6^3 + 812692/328277*c_0110_6^2 + 643285/328277*c_0110_6 - 128056/328277, c_0101_2 + c_0110_6, c_0101_4 - 978/328277*c_0110_6^8 - 173337/328277*c_0110_6^7 - 36935/328277*c_0110_6^6 - 884886/328277*c_0110_6^5 + 1406465/328277*c_0110_6^4 + 240347/328277*c_0110_6^3 + 257772/328277*c_0110_6^2 + 764291/328277*c_0110_6 - 70717/328277, c_0110_6^9 + 16/3*c_0110_6^7 - 28/3*c_0110_6^6 + 4/3*c_0110_6^5 - 13/3*c_0110_6^4 - 7/3*c_0110_6^3 + 2/3*c_0110_6^2 - 1/3*c_0110_6 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB