Magma V2.19-8 Tue Aug 20 2013 16:16:42 on localhost [Seed = 3137021555] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0997 geometric_solution 4.88659421 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2103 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 0 1 1 0 0 -1 1 1 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557830670575 1.267195283532 0 0 2 3 0132 2103 3201 1023 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 -1 0 1 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557830670575 1.267195283532 1 4 4 0 2310 0132 3201 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 0.436353454241 0.713619579149 5 5 0 1 0132 3201 0132 1023 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 2 -1 -1 0 0 1 -1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.061180139829 0.308845043288 2 2 4 4 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.016716771049 1.241301710798 3 6 3 6 0132 0132 2310 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 0 0 0 0 0 0 2 0 0 -2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.331514522987 4.338757614250 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 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290441732986 0.096954191627 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_3, c_0101_0, c_0101_4, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + c_0110_6^3 - 1, c_0011_0 - 1, c_0011_2 + c_0101_4*c_0110_6^2 + c_0101_4*c_0110_6, c_0011_3 + c_0101_4*c_0110_6, c_0101_0 + c_0101_4*c_0110_6^3 + c_0101_4*c_0110_6^2, c_0101_4^2 - c_0110_6^3 + 2*c_0110_6 - 1, c_0101_5 - c_0110_6^3 - c_0110_6^2 + c_0110_6, c_0110_6^4 + c_0110_6^3 - c_0110_6^2 - c_0110_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_4, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 226758/44395*c_0110_6^11 - 844511/44395*c_0110_6^10 - 140323/44395*c_0110_6^9 + 646482/44395*c_0110_6^8 + 953794/44395*c_0110_6^7 - 666857/44395*c_0110_6^6 - 115617/44395*c_0110_6^5 + 1058597/44395*c_0110_6^4 + 41794/44395*c_0110_6^3 - 93039/8879*c_0110_6^2 + 72601/44395*c_0110_6 + 262007/44395, c_0011_0 - 1, c_0011_2 - 151/683*c_0101_4*c_0110_6^11 - 823/683*c_0101_4*c_0110_6^10 - 715/683*c_0101_4*c_0110_6^9 + 1528/683*c_0101_4*c_0110_6^8 + 1391/683*c_0101_4*c_0110_6^7 - 700/683*c_0101_4*c_0110_6^6 - 2734/683*c_0101_4*c_0110_6^5 + 1804/683*c_0101_4*c_0110_6^4 + 1353/683*c_0101_4*c_0110_6^3 - 1338/683*c_0101_4*c_0110_6^2 - 724/683*c_0101_4*c_0110_6 + 1507/683*c_0101_4, c_0011_3 - 1090/683*c_0101_4*c_0110_6^11 - 3236/683*c_0101_4*c_0110_6^10 + 1524/683*c_0101_4*c_0110_6^9 + 993/683*c_0101_4*c_0110_6^8 + 3505/683*c_0101_4*c_0110_6^7 - 5252/683*c_0101_4*c_0110_6^6 + 4364/683*c_0101_4*c_0110_6^5 + 1167/683*c_0101_4*c_0110_6^4 - 1003/683*c_0101_4*c_0110_6^3 - 309/683*c_0101_4*c_0110_6^2 + 672/683*c_0101_4*c_0110_6 + 371/683*c_0101_4, c_0101_0 + 414/683*c_0101_4*c_0110_6^11 + 610/683*c_0101_4*c_0110_6^10 - 2495/683*c_0101_4*c_0110_6^9 + 465/683*c_0101_4*c_0110_6^8 + 135/683*c_0101_4*c_0110_6^7 + 4416/683*c_0101_4*c_0110_6^6 - 4382/683*c_0101_4*c_0110_6^5 + 726/683*c_0101_4*c_0110_6^4 + 1569/683*c_0101_4*c_0110_6^3 - 805/683*c_0101_4*c_0110_6^2 - 1041/683*c_0101_4*c_0110_6 + 215/683*c_0101_4, c_0101_4^2 - 246/683*c_0110_6^11 - 798/683*c_0110_6^10 + 364/683*c_0110_6^9 + 1060/683*c_0110_6^8 + 484/683*c_0110_6^7 - 2624/683*c_0110_6^6 - 831/683*c_0110_6^5 + 2360/683*c_0110_6^4 + 404/683*c_0110_6^3 - 1343/683*c_0110_6^2 - 302/683*c_0110_6 + 189/683, c_0101_5 - 532/683*c_0110_6^11 - 1909/683*c_0110_6^10 + 32/683*c_0110_6^9 + 1887/683*c_0110_6^8 + 2024/683*c_0110_6^7 - 2032/683*c_0110_6^6 + 2/683*c_0110_6^5 + 2977/683*c_0110_6^4 + 13/683*c_0110_6^3 - 2077/683*c_0110_6^2 + 724/683*c_0110_6 + 542/683, c_0110_6^12 + 3*c_0110_6^11 - 2*c_0110_6^10 - 3*c_0110_6^9 - 2*c_0110_6^8 + 6*c_0110_6^7 - 2*c_0110_6^6 - 5*c_0110_6^5 + 3*c_0110_6^4 + 2*c_0110_6^3 - 2*c_0110_6^2 - c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB