Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 3987501344] 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' : 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' : 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 + 3021419/18491*c_0101_6^13 - 16739798/18491*c_0101_6^12 + 12110270/18491*c_0101_6^11 + 80870293/18491*c_0101_6^10 - 140383339/18491*c_0101_6^9 - 95115621/18491*c_0101_6^8 + 295011983/18491*c_0101_6^7 + 28252882/18491*c_0101_6^6 - 275189725/18491*c_0101_6^5 - 32295345/18491*c_0101_6^4 + 114010595/18491*c_0101_6^3 + 25973125/18491*c_0101_6^2 - 16307140/18491*c_0101_6 - 5080059/18491, c_0011_0 - 1, c_0011_1 + 182*c_0101_6^13 - 999*c_0101_6^12 + 669*c_0101_6^11 + 4960*c_0101_6^10 - 8260*c_0101_6^9 - 6370*c_0101_6^8 + 17944*c_0101_6^7 + 2695*c_0101_6^6 - 17298*c_0101_6^5 - 2583*c_0101_6^4 + 7370*c_0101_6^3 + 1820*c_0101_6^2 - 1105*c_0101_6 - 364, c_0011_3 + 21*c_0101_6^13 - 110*c_0101_6^12 + 47*c_0101_6^11 + 599*c_0101_6^10 - 816*c_0101_6^9 - 1008*c_0101_6^8 + 1954*c_0101_6^7 + 861*c_0101_6^6 - 2061*c_0101_6^5 - 783*c_0101_6^4 + 911*c_0101_6^3 + 404*c_0101_6^2 - 137*c_0101_6 - 70, c_0011_5 + c_0101_6^13 - 5*c_0101_6^12 + c_0101_6^11 + 29*c_0101_6^10 - 32*c_0101_6^9 - 57*c_0101_6^8 + 81*c_0101_6^7 + 63*c_0101_6^6 - 87*c_0101_6^5 - 61*c_0101_6^4 + 33*c_0101_6^3 + 30*c_0101_6^2 - 2*c_0101_6 - 5, c_0101_0 - 50*c_0101_6^13 + 275*c_0101_6^12 - 189*c_0101_6^11 - 1347*c_0101_6^10 + 2266*c_0101_6^9 + 1680*c_0101_6^8 - 4817*c_0101_6^7 - 714*c_0101_6^6 + 4574*c_0101_6^5 + 778*c_0101_6^4 - 1938*c_0101_6^3 - 532*c_0101_6^2 + 288*c_0101_6 + 103, c_0101_2 - 44*c_0101_6^13 + 235*c_0101_6^12 - 123*c_0101_6^11 - 1240*c_0101_6^10 + 1834*c_0101_6^9 + 1913*c_0101_6^8 - 4262*c_0101_6^7 - 1361*c_0101_6^6 + 4392*c_0101_6^5 + 1208*c_0101_6^4 - 1956*c_0101_6^3 - 669*c_0101_6^2 + 302*c_0101_6 + 122, c_0101_6^14 - 5*c_0101_6^13 + c_0101_6^12 + 29*c_0101_6^11 - 32*c_0101_6^10 - 57*c_0101_6^9 + 81*c_0101_6^8 + 63*c_0101_6^7 - 87*c_0101_6^6 - 61*c_0101_6^5 + 33*c_0101_6^4 + 30*c_0101_6^3 - c_0101_6^2 - 5*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB