Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 1646526228] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3040 geometric_solution 6.21225316 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 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 0.074690515022 0.744959892537 0 3 5 4 0132 0132 0132 0132 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 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 0.451477409687 0.853673413555 3 0 4 5 2310 0132 3201 3201 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 -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 0.451477409687 0.853673413555 3 1 2 3 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294877266682 1.159848981713 2 6 1 6 2310 0132 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 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 0.866840829251 0.570424687135 5 2 5 1 2031 2310 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833758511907 0.659017373778 4 4 6 6 3201 0132 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 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574373426944 0.170820354466 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 291414935/54701*c_0101_3*c_0110_6^8 - 41721923/54701*c_0101_3*c_0110_6^7 + 1618827993/54701*c_0101_3*c_0110_6^6 - 2242480010/54701*c_0101_3*c_0110_6^5 + 156364162/54701*c_0101_3*c_0110_6^4 + 3505051025/54701*c_0101_3*c_0110_6^3 + 75219556/2879*c_0101_3*c_0110_6^2 - 337283988/54701*c_0101_3*c_0110_6 - 173805527/54701*c_0101_3, c_0011_0 - 1, c_0011_4 + 3551535/54701*c_0101_3*c_0110_6^8 + 301363/54701*c_0101_3*c_0110_6^7 - 19672520/54701*c_0101_3*c_0110_6^6 + 28453587/54701*c_0101_3*c_0110_6^5 - 3961003/54701*c_0101_3*c_0110_6^4 - 41735587/54701*c_0101_3*c_0110_6^3 - 808450/2879*c_0101_3*c_0110_6^2 + 4289917/54701*c_0101_3*c_0110_6 + 1820823/54701*c_0101_3, c_0101_0 - 499405/54701*c_0110_6^8 - 155744/54701*c_0110_6^7 + 2791023/54701*c_0110_6^6 - 3380139/54701*c_0110_6^5 - 538551/54701*c_0110_6^4 + 6324135/54701*c_0110_6^3 + 177803/2879*c_0110_6^2 - 490400/54701*c_0110_6 - 409031/54701, c_0101_1 - 4050940/54701*c_0110_6^8 - 457107/54701*c_0110_6^7 + 22463543/54701*c_0110_6^6 - 31833726/54701*c_0110_6^5 + 3422452/54701*c_0110_6^4 + 48059722/54701*c_0110_6^3 + 986253/2879*c_0110_6^2 - 4780317/54701*c_0110_6 - 2284555/54701, c_0101_2 + 3090865/54701*c_0101_3*c_0110_6^8 + 178102/54701*c_0101_3*c_0110_6^7 - 17097439/54701*c_0101_3*c_0110_6^6 + 25222002/54701*c_0101_3*c_0110_6^5 - 4302743/54701*c_0101_3*c_0110_6^4 - 35937743/54701*c_0101_3*c_0110_6^3 - 657402/2879*c_0101_3*c_0110_6^2 + 3735436/54701*c_0101_3*c_0110_6 + 1462415/54701*c_0101_3, c_0101_3^2 - 1043200/54701*c_0110_6^8 - 70195/54701*c_0110_6^7 + 5771127/54701*c_0110_6^6 - 8456852/54701*c_0110_6^5 + 1368644/54701*c_0110_6^4 + 12154678/54701*c_0110_6^3 + 226133/2879*c_0110_6^2 - 1223785/54701*c_0110_6 - 559047/54701, c_0110_6^9 - 1/5*c_0110_6^8 - 28/5*c_0110_6^7 + 48/5*c_0110_6^6 - 16/5*c_0110_6^5 - 59/5*c_0110_6^4 - 4/5*c_0110_6^3 + 14/5*c_0110_6^2 + 1/5*c_0110_6 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB