Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 3920131364] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0362 geometric_solution 4.40768637 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 2.969985839669 0.383650294393 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 1 0 -1 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 -0.280153031151 0.154910192704 1 1 3 4 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.071693478621 2.514970933909 4 4 5 2 1302 1023 0132 0132 0 0 0 0 0 0 1 -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 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 0.177951046215 0.849301480337 3 3 2 5 1023 2031 0132 2310 0 0 0 0 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 -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 0.177951046215 0.849301480337 4 6 6 3 3201 0132 3201 0132 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 0 1 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 0.290181914636 0.295973148088 5 5 6 6 2310 0132 2031 1302 0 0 0 0 0 -1 1 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 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 1.113193233325 2.094956157466 ==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' : d['c_0101_6'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), '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' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 6023/5*c_0101_6^13 - 14706/5*c_0101_6^12 - 49902/5*c_0101_6^11 + 133379/5*c_0101_6^10 + 28705*c_0101_6^9 - 407759/5*c_0101_6^8 - 240413/5*c_0101_6^7 + 111994*c_0101_6^6 + 365107/5*c_0101_6^5 - 251187/5*c_0101_6^4 - 224277/5*c_0101_6^3 + 8391/5*c_0101_6^2 + 40732/5*c_0101_6 + 8443/5, c_0011_0 - 1, c_0011_1 + 46*c_0101_6^13 - 157*c_0101_6^12 - 251*c_0101_6^11 + 1328*c_0101_6^10 - 40*c_0101_6^9 - 3646*c_0101_6^8 + 1448*c_0101_6^7 + 4513*c_0101_6^6 - 1498*c_0101_6^5 - 2597*c_0101_6^4 + 490*c_0101_6^3 + 680*c_0101_6^2 - 49*c_0101_6 - 64, c_0011_3 + 13*c_0101_6^13 - 42*c_0101_6^12 - 81*c_0101_6^11 + 369*c_0101_6^10 + 68*c_0101_6^9 - 1088*c_0101_6^8 + 222*c_0101_6^7 + 1499*c_0101_6^6 - 249*c_0101_6^5 - 985*c_0101_6^4 + 63*c_0101_6^3 + 300*c_0101_6^2 - c_0101_6 - 34, c_0011_5 + c_0101_6^13 - 3*c_0101_6^12 - 7*c_0101_6^11 + 27*c_0101_6^10 + 12*c_0101_6^9 - 83*c_0101_6^8 - 3*c_0101_6^7 + 121*c_0101_6^6 + 9*c_0101_6^5 - 83*c_0101_6^4 - 15*c_0101_6^3 + 26*c_0101_6^2 + 6*c_0101_6 - 3, c_0101_0 - 24*c_0101_6^13 + 91*c_0101_6^12 + 99*c_0101_6^11 - 737*c_0101_6^10 + 280*c_0101_6^9 + 1858*c_0101_6^8 - 1409*c_0101_6^7 - 2018*c_0101_6^6 + 1486*c_0101_6^5 + 1080*c_0101_6^4 - 582*c_0101_6^3 - 302*c_0101_6^2 + 80*c_0101_6 + 35, c_0101_2 - 18*c_0101_6^13 + 63*c_0101_6^12 + 97*c_0101_6^11 - 542*c_0101_6^10 + 38*c_0101_6^9 + 1541*c_0101_6^8 - 690*c_0101_6^7 - 2027*c_0101_6^6 + 850*c_0101_6^5 + 1330*c_0101_6^4 - 374*c_0101_6^3 - 429*c_0101_6^2 + 56*c_0101_6 + 54, c_0101_6^14 - 3*c_0101_6^13 - 7*c_0101_6^12 + 27*c_0101_6^11 + 12*c_0101_6^10 - 83*c_0101_6^9 - 3*c_0101_6^8 + 121*c_0101_6^7 + 9*c_0101_6^6 - 83*c_0101_6^5 - 15*c_0101_6^4 + 26*c_0101_6^3 + 7*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB