Magma V2.19-8 Tue Aug 20 2013 16:17:23 on localhost [Seed = 3616951066] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1614 geometric_solution 5.37198125 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.542573029529 0.667970943036 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621907202345 0.391376187354 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590586283479 0.451498072273 2 5 4 1 2031 1023 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590586283479 0.451498072273 2 4 3 4 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.937053864475 1.341056083204 3 6 2 6 1023 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 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 -1 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 0.939674864171 0.497026014003 6 5 6 5 2031 0132 1302 1023 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 1 -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 0.597527853182 0.183297810536 ==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_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_1']), '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_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], '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' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], '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_0101_0, c_0101_4, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 34*c_0110_5^4 - 86*c_0110_5^3 - 123*c_0110_5^2 + 131*c_0110_5 + 59, c_0011_0 - 1, c_0011_1 + 2*c_0110_5^4 - 5*c_0110_5^3 - 7*c_0110_5^2 + 7*c_0110_5 + 4, c_0011_3 - 2*c_0110_5^4 + 5*c_0110_5^3 + 8*c_0110_5^2 - 8*c_0110_5 - 5, c_0101_0 + c_0110_5^4 - 2*c_0110_5^3 - 5*c_0110_5^2 + 3*c_0110_5 + 3, c_0101_4 + c_0110_5^4 - 2*c_0110_5^3 - 5*c_0110_5^2 + 3*c_0110_5 + 3, c_0110_5^5 - 2*c_0110_5^4 - 5*c_0110_5^3 + 2*c_0110_5^2 + 4*c_0110_5 + 1, c_0110_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_4, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 24782/7679*c_0110_6^9 - 11574/7679*c_0110_6^8 - 50601/7679*c_0110_6^7 + 178008/7679*c_0110_6^6 + 195613/7679*c_0110_6^5 + 314688/7679*c_0110_6^4 - 83056/7679*c_0110_6^3 - 391894/7679*c_0110_6^2 - 293756/7679*c_0110_6 - 64343/7679, c_0011_0 - 1, c_0011_1 - 283/1097*c_0110_6^9 + 217/1097*c_0110_6^8 - 682/1097*c_0110_6^7 + 2942/1097*c_0110_6^6 - 744/1097*c_0110_6^5 + 3071/1097*c_0110_6^4 - 5584/1097*c_0110_6^3 - 1316/1097*c_0110_6^2 - 464/1097*c_0110_6 + 1825/1097, c_0011_3 - 424/1097*c_0110_6^9 - 16/1097*c_0110_6^8 - 890/1097*c_0110_6^7 + 3524/1097*c_0110_6^6 + 1622/1097*c_0110_6^5 + 4384/1097*c_0110_6^4 - 3951/1097*c_0110_6^3 - 4751/1097*c_0110_6^2 - 168/1097*c_0110_6 + 1928/1097, c_0101_0 - 831/1097*c_0110_6^9 + 424/1097*c_0110_6^8 - 1646/1097*c_0110_6^7 + 7538/1097*c_0110_6^6 - 200/1097*c_0110_6^5 + 6688/1097*c_0110_6^4 - 11032/1097*c_0110_6^3 - 5190/1097*c_0110_6^2 + 2258/1097*c_0110_6 + 2661/1097, c_0101_4 - 212/1097*c_0110_6^9 - 8/1097*c_0110_6^8 - 445/1097*c_0110_6^7 + 1762/1097*c_0110_6^6 + 811/1097*c_0110_6^5 + 2192/1097*c_0110_6^4 - 1427/1097*c_0110_6^3 - 2924/1097*c_0110_6^2 + 1013/1097*c_0110_6 - 133/1097, c_0110_5 + 453/1097*c_0110_6^9 - 45/1097*c_0110_6^8 + 925/1097*c_0110_6^7 - 3527/1097*c_0110_6^6 - 1883/1097*c_0110_6^5 - 4125/1097*c_0110_6^4 + 2806/1097*c_0110_6^3 + 6041/1097*c_0110_6^2 + 1173/1097*c_0110_6 - 1708/1097, c_0110_6^10 + 2*c_0110_6^8 - 8*c_0110_6^7 - 4*c_0110_6^6 - 10*c_0110_6^5 + 8*c_0110_6^4 + 11*c_0110_6^3 + 3*c_0110_6^2 - 3*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB