Magma V2.19-8 Tue Aug 20 2013 16:14:24 on localhost [Seed = 2311591307] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s401 geometric_solution 4.65050342 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 1023 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 -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 0.602267200468 0.395960813955 0 1 0 1 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574466215388 0.097048047130 4 0 3 3 0132 0132 2310 1230 0 0 0 0 0 1 -1 0 -1 0 0 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 1 -1 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 0.631320470324 1.119460960785 2 2 0 4 3012 3201 0132 1023 0 0 0 0 0 1 -1 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 -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 0.631320470324 1.119460960785 2 5 5 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 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 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 0.549530469377 0.634297466865 5 4 4 5 3201 0132 1023 2310 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 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 1.361833020101 0.522482408338 ==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' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : 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_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_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], '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_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], '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_0011_3'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1460/9*c_0101_5^15 + 8/9*c_0101_5^14 - 4144/3*c_0101_5^13 + 11537/9*c_0101_5^12 + 4536*c_0101_5^11 - 8371*c_0101_5^10 - 54775/9*c_0101_5^9 + 61318/3*c_0101_5^8 + 9706/3*c_0101_5^7 - 23832*c_0101_5^6 - 9914/9*c_0101_5^5 + 120835/9*c_0101_5^4 + 3230/9*c_0101_5^3 - 3594*c_0101_5^2 - 545/9*c_0101_5 + 3406/9, c_0011_0 - 1, c_0011_3 + c_0101_5^15 - c_0101_5^14 - 8*c_0101_5^13 + 16*c_0101_5^12 + 16*c_0101_5^11 - 72*c_0101_5^10 + 22*c_0101_5^9 + 130*c_0101_5^8 - 96*c_0101_5^7 - 111*c_0101_5^6 + 101*c_0101_5^5 + 49*c_0101_5^4 - 48*c_0101_5^3 - 11*c_0101_5^2 + 10*c_0101_5 + 1, c_0101_0 - 87*c_0101_5^15 + 34*c_0101_5^14 + 712*c_0101_5^13 - 955*c_0101_5^12 - 1936*c_0101_5^11 + 5021*c_0101_5^10 + 1058*c_0101_5^9 - 10362*c_0101_5^8 + 2002*c_0101_5^7 + 10312*c_0101_5^6 - 2199*c_0101_5^5 - 5134*c_0101_5^4 + 746*c_0101_5^3 + 1246*c_0101_5^2 - 88*c_0101_5 - 120, c_0101_1 + 54*c_0101_5^15 - 33*c_0101_5^14 - 432*c_0101_5^13 + 683*c_0101_5^12 + 1032*c_0101_5^11 - 3285*c_0101_5^10 + 76*c_0101_5^9 + 6200*c_0101_5^8 - 2416*c_0101_5^7 - 5593*c_0101_5^6 + 2163*c_0101_5^5 + 2589*c_0101_5^4 - 698*c_0101_5^3 - 595*c_0101_5^2 + 79*c_0101_5 + 54, c_0101_2 - 9*c_0101_5^15 + 8*c_0101_5^14 + 72*c_0101_5^13 - 135*c_0101_5^12 - 152*c_0101_5^11 + 616*c_0101_5^10 - 142*c_0101_5^9 - 1120*c_0101_5^8 + 712*c_0101_5^7 + 965*c_0101_5^6 - 702*c_0101_5^5 - 431*c_0101_5^4 + 282*c_0101_5^3 + 98*c_0101_5^2 - 41*c_0101_5 - 9, c_0101_5^16 - c_0101_5^15 - 8*c_0101_5^14 + 16*c_0101_5^13 + 16*c_0101_5^12 - 72*c_0101_5^11 + 22*c_0101_5^10 + 130*c_0101_5^9 - 96*c_0101_5^8 - 111*c_0101_5^7 + 101*c_0101_5^6 + 49*c_0101_5^5 - 48*c_0101_5^4 - 11*c_0101_5^3 + 11*c_0101_5^2 + c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB