Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 3970789431] 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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(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: 13 Groebner basis: [ t - 584999/30731*c_0101_6^12 - 3853896/30731*c_0101_6^11 - 15394499/30731*c_0101_6^10 - 38204760/30731*c_0101_6^9 - 67639857/30731*c_0101_6^8 - 82119726/30731*c_0101_6^7 - 73499607/30731*c_0101_6^6 - 52837808/30731*c_0101_6^5 - 39535712/30731*c_0101_6^4 - 25440270/30731*c_0101_6^3 + 11332122/30731*c_0101_6^2 + 26968375/30731*c_0101_6 + 11113220/30731, c_0011_0 - 1, c_0011_3 - 55617/61462*c_0101_6^12 - 346721/61462*c_0101_6^11 - 1334983/61462*c_0101_6^10 - 1575305/30731*c_0101_6^9 - 2660500/30731*c_0101_6^8 - 6045005/61462*c_0101_6^7 - 2557682/30731*c_0101_6^6 - 3555415/61462*c_0101_6^5 - 1354021/30731*c_0101_6^4 - 1534629/61462*c_0101_6^3 + 732474/30731*c_0101_6^2 + 1000721/30731*c_0101_6 + 577207/61462, c_0011_6 - 35609/61462*c_0101_6^12 - 228115/61462*c_0101_6^11 - 906179/61462*c_0101_6^10 - 1103915/30731*c_0101_6^9 - 1928287/30731*c_0101_6^8 - 4542341/61462*c_0101_6^7 - 1984920/30731*c_0101_6^6 - 2818083/61462*c_0101_6^5 - 1085213/30731*c_0101_6^4 - 1419735/61462*c_0101_6^3 + 435175/30731*c_0101_6^2 + 730348/30731*c_0101_6 + 430127/61462, c_0101_1 - 23517/61462*c_0101_6^12 - 154063/61462*c_0101_6^11 - 615965/61462*c_0101_6^10 - 756643/30731*c_0101_6^9 - 1319033/30731*c_0101_6^8 - 3084771/61462*c_0101_6^7 - 1305788/30731*c_0101_6^6 - 1772497/61462*c_0101_6^5 - 669315/30731*c_0101_6^4 - 858565/61462*c_0101_6^3 + 348424/30731*c_0101_6^2 + 537290/30731*c_0101_6 + 310593/61462, c_0101_2 - 6641/61462*c_0101_6^12 - 42215/61462*c_0101_6^11 - 177955/61462*c_0101_6^10 - 222136/30731*c_0101_6^9 - 406066/30731*c_0101_6^8 - 951259/61462*c_0101_6^7 - 415588/30731*c_0101_6^6 - 513995/61462*c_0101_6^5 - 208128/30731*c_0101_6^4 - 285381/61462*c_0101_6^3 + 119615/30731*c_0101_6^2 + 177021/30731*c_0101_6 + 140311/61462, c_0101_4 + 37131/61462*c_0101_6^12 + 228063/61462*c_0101_6^11 + 876783/61462*c_0101_6^10 + 1030679/30731*c_0101_6^9 + 1749630/30731*c_0101_6^8 + 4007279/61462*c_0101_6^7 + 1734739/30731*c_0101_6^6 + 2458105/61462*c_0101_6^5 + 939350/30731*c_0101_6^4 + 1136469/61462*c_0101_6^3 - 394986/30731*c_0101_6^2 - 601613/30731*c_0101_6 - 369753/61462, c_0101_6^13 + 7*c_0101_6^12 + 29*c_0101_6^11 + 76*c_0101_6^10 + 142*c_0101_6^9 + 187*c_0101_6^8 + 182*c_0101_6^7 + 141*c_0101_6^6 + 104*c_0101_6^5 + 71*c_0101_6^4 - 2*c_0101_6^3 - 54*c_0101_6^2 - 37*c_0101_6 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB