Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 3920131378] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1721 geometric_solution 5.43030812 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1230 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341935069813 0.440110879775 0 4 4 3 0132 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873278439951 1.129583420636 5 0 3 0 0132 0132 2310 3012 0 0 0 0 0 1 -1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.491481717945 1.013948399633 1 2 0 6 3012 3201 0132 0132 0 0 0 0 0 1 -1 0 0 0 1 -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 -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 0.883245854939 0.689509923646 5 1 1 5 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.010627928999 1.015736256063 2 4 4 6 0132 1023 0132 3120 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 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 -0.192572660743 0.456113600575 5 6 3 6 3120 1302 0132 2031 0 0 0 0 0 1 0 -1 0 0 1 -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 -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 1.280307544071 0.953472370509 ==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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_4'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_3, c_0011_6, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 15883/117*c_0101_6^11 - 108140/117*c_0101_6^10 - 408572/117*c_0101_6^9 - 1004299/117*c_0101_6^8 - 584653/39*c_0101_6^7 - 767761/39*c_0101_6^6 - 2414833/117*c_0101_6^5 - 772844/39*c_0101_6^4 - 720313/39*c_0101_6^3 - 1792826/117*c_0101_6^2 - 120203/13*c_0101_6 - 96737/39, c_0011_0 - 1, c_0011_3 + 1/117*c_0101_6^11 + 23/117*c_0101_6^10 + 107/117*c_0101_6^9 + 331/117*c_0101_6^8 + 73/13*c_0101_6^7 + 25/3*c_0101_6^6 + 1063/117*c_0101_6^5 + 107/13*c_0101_6^4 + 101/13*c_0101_6^3 + 839/117*c_0101_6^2 + 238/39*c_0101_6 + 53/39, c_0011_6 - 38/39*c_0101_6^11 - 227/39*c_0101_6^10 - 799/39*c_0101_6^9 - 1786/39*c_0101_6^8 - 953/13*c_0101_6^7 - 1137/13*c_0101_6^6 - 3335/39*c_0101_6^5 - 3199/39*c_0101_6^4 - 2902/39*c_0101_6^3 - 2264/39*c_0101_6^2 - 333/13*c_0101_6 - 31/13, c_0101_1 + 116/117*c_0101_6^11 + 664/117*c_0101_6^10 + 2305/117*c_0101_6^9 + 5048/117*c_0101_6^8 + 890/13*c_0101_6^7 + 3155/39*c_0101_6^6 + 9278/117*c_0101_6^5 + 2995/39*c_0101_6^4 + 2701/39*c_0101_6^3 + 493/9*c_0101_6^2 + 911/39*c_0101_6 + 112/39, c_0101_2 - 8/9*c_0101_6^11 - 625/117*c_0101_6^10 - 2200/117*c_0101_6^9 - 4961/117*c_0101_6^8 - 890/13*c_0101_6^7 - 3239/39*c_0101_6^6 - 9617/117*c_0101_6^5 - 3074/39*c_0101_6^4 - 2801/39*c_0101_6^3 - 6568/117*c_0101_6^2 - 1070/39*c_0101_6 - 145/39, c_0101_4 - 19/39*c_0101_6^11 - 38/13*c_0101_6^10 - 401/39*c_0101_6^9 - 23*c_0101_6^8 - 479/13*c_0101_6^7 - 576/13*c_0101_6^6 - 1705/39*c_0101_6^5 - 1654/39*c_0101_6^4 - 1486/39*c_0101_6^3 - 393/13*c_0101_6^2 - 188/13*c_0101_6 - 23/13, c_0101_6^12 + 7*c_0101_6^11 + 27*c_0101_6^10 + 68*c_0101_6^9 + 122*c_0101_6^8 + 165*c_0101_6^7 + 178*c_0101_6^6 + 173*c_0101_6^5 + 162*c_0101_6^4 + 137*c_0101_6^3 + 88*c_0101_6^2 + 30*c_0101_6 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB