Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 981181982] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s277 geometric_solution 4.44589221 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2031 0 0 0 0 0 -1 0 1 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 -1 1 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 0.693803629011 1.118349071155 0 3 4 4 0132 2031 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064837549734 0.372739515754 2 0 3 2 3012 0132 3120 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693803629011 1.118349071155 1 0 2 0 1302 1302 3120 0132 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 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 0.599436291929 0.645672683347 5 1 1 5 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.574790895622 0.627249225266 4 4 5 5 0132 2310 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 3.529416325609 0.936830933672 ==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' : negation(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_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_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_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_0']), '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_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_0101_0']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 8301/449*c_0101_5^10 + 35127/449*c_0101_5^9 - 76128/449*c_0101_5^8 - 141165/449*c_0101_5^7 + 152917/449*c_0101_5^6 + 132013/449*c_0101_5^5 - 128384/449*c_0101_5^4 - 59237/449*c_0101_5^3 + 54059/449*c_0101_5^2 + 17144/449*c_0101_5 - 14332/449, c_0011_0 - 1, c_0011_3 + 498/449*c_0101_5^10 + 2330/449*c_0101_5^9 - 3514/449*c_0101_5^8 - 9916/449*c_0101_5^7 + 4976/449*c_0101_5^6 + 9285/449*c_0101_5^5 - 5043/449*c_0101_5^4 - 3909/449*c_0101_5^3 + 2732/449*c_0101_5^2 + 943/449*c_0101_5 - 484/449, c_0011_4 - 359/449*c_0101_5^10 - 1310/449*c_0101_5^9 + 4450/449*c_0101_5^8 + 5419/449*c_0101_5^7 - 12165/449*c_0101_5^6 - 6523/449*c_0101_5^5 + 10979/449*c_0101_5^4 + 2799/449*c_0101_5^3 - 4521/449*c_0101_5^2 - 403/449*c_0101_5 + 1411/449, c_0101_0 + 425/449*c_0101_2*c_0101_5^10 + 2295/449*c_0101_2*c_0101_5^9 - 1486/449*c_0101_2*c_0101_5^8 - 10006/449*c_0101_2*c_0101_5^7 - 1246/449*c_0101_2*c_0101_5^6 + 7786/449*c_0101_2*c_0101_5^5 - 1910/449*c_0101_2*c_0101_5^4 - 3620/449*c_0101_2*c_0101_5^3 + 1475/449*c_0101_2*c_0101_5^2 + 766/449*c_0101_2*c_0101_5 - 496/449*c_0101_2, c_0101_2^2 + 498/449*c_0101_5^10 + 2330/449*c_0101_5^9 - 3514/449*c_0101_5^8 - 9916/449*c_0101_5^7 + 4976/449*c_0101_5^6 + 9285/449*c_0101_5^5 - 5043/449*c_0101_5^4 - 3909/449*c_0101_5^3 + 2732/449*c_0101_5^2 + 943/449*c_0101_5 - 933/449, c_0101_5^11 + 4*c_0101_5^10 - 10*c_0101_5^9 - 14*c_0101_5^8 + 22*c_0101_5^7 + 7*c_0101_5^6 - 20*c_0101_5^5 + 2*c_0101_5^4 + 8*c_0101_5^3 - 2*c_0101_5^2 - 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB