Magma V2.19-8 Tue Aug 20 2013 16:18:16 on localhost [Seed = 2412647099] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2478 geometric_solution 5.80951498 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 0 1 -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 0.704481940906 0.896842458166 3 0 4 3 0132 0132 0132 0213 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 0 -0.166609500739 0.949123112534 4 4 3 0 1302 1230 2310 0132 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 1 0 -1 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 0.663779698085 0.641805629549 1 2 5 1 0132 3201 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.584809446523 0.864427036858 5 2 2 1 1302 2031 3012 0132 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 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 -0.673649923676 1.074462568298 6 4 6 3 0132 2031 2310 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.700665591004 1.447623254253 5 5 6 6 0132 3201 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 -1 0 1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423111784895 0.271632537154 ==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_0101_1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_1001_2']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0011_5, c_0101_1, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 43403/4725*c_1001_2^11 + 34576/675*c_1001_2^10 - 289043/4725*c_1001_2^9 + 6169/525*c_1001_2^8 + 181796/1575*c_1001_2^7 - 873119/4725*c_1001_2^6 + 667766/4725*c_1001_2^5 + 5027/315*c_1001_2^4 - 13873/105*c_1001_2^3 + 618287/4725*c_1001_2^2 - 79249/4725*c_1001_2 - 62444/4725, c_0011_0 - 1, c_0011_2 + 17/25*c_1001_2^11 - 88/25*c_1001_2^10 + 82/25*c_1001_2^9 - 22/75*c_1001_2^8 - 212/25*c_1001_2^7 + 838/75*c_1001_2^6 - 602/75*c_1001_2^5 - 46/15*c_1001_2^4 + 131/15*c_1001_2^3 - 559/75*c_1001_2^2 - 22/75*c_1001_2 + 53/75, c_0011_4 + 194/75*c_1001_2^11 - 352/25*c_1001_2^10 + 1154/75*c_1001_2^9 - 41/25*c_1001_2^8 - 788/25*c_1001_2^7 + 3502/75*c_1001_2^6 - 2473/75*c_1001_2^5 - 107/15*c_1001_2^4 + 503/15*c_1001_2^3 - 752/25*c_1001_2^2 - 26/25*c_1001_2 + 317/75, c_0011_5 - 56/75*c_1001_2^11 + 319/75*c_1001_2^10 - 132/25*c_1001_2^9 + 52/75*c_1001_2^8 + 237/25*c_1001_2^7 - 391/25*c_1001_2^6 + 827/75*c_1001_2^5 + 38/15*c_1001_2^4 - 59/5*c_1001_2^3 + 794/75*c_1001_2^2 + 22/75*c_1001_2 - 61/25, c_0101_1 - 51/25*c_1001_2^11 + 279/25*c_1001_2^10 - 928/75*c_1001_2^9 + 27/25*c_1001_2^8 + 1948/75*c_1001_2^7 - 2804/75*c_1001_2^6 + 1936/75*c_1001_2^5 + 122/15*c_1001_2^4 - 85/3*c_1001_2^3 + 1832/75*c_1001_2^2 + 146/75*c_1001_2 - 113/25, c_0101_5 + 241/75*c_1001_2^11 - 1324/75*c_1001_2^10 + 1511/75*c_1001_2^9 - 277/75*c_1001_2^8 - 967/25*c_1001_2^7 + 4483/75*c_1001_2^6 - 1119/25*c_1001_2^5 - 91/15*c_1001_2^4 + 626/15*c_1001_2^3 - 2894/75*c_1001_2^2 + 98/75*c_1001_2 + 398/75, c_1001_2^12 - 6*c_1001_2^11 + 9*c_1001_2^10 - 4*c_1001_2^9 - 12*c_1001_2^8 + 25*c_1001_2^7 - 23*c_1001_2^6 + 4*c_1001_2^5 + 15*c_1001_2^4 - 19*c_1001_2^3 + 6*c_1001_2^2 + 2*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB