Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 4223297322] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1420 geometric_solution 5.25627619 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 0 -1 1 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 -1 0 1 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 -0.702732772389 0.530975582254 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 -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 0.352097743309 1.240025346175 4 5 1 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771841556156 0.538585487882 5 6 4 1 3201 1023 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.771841556156 0.538585487882 2 6 3 5 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 1.128663800760 0.608012134399 6 2 4 3 3201 0132 0132 2310 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 0 0 0 0 0 0 0 0.580095848287 0.171710039148 3 4 2 5 1023 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.128663800760 0.608012134399 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(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' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_6' : negation(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_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_1001_5'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 35849/884*c_1001_5^13 + 52457/52*c_1001_5^11 - 1944204/221*c_1001_5^9 + 13185927/442*c_1001_5^7 - 6082164/221*c_1001_5^5 + 7262293/884*c_1001_5^3 - 122888/221*c_1001_5, c_0011_0 - 1, c_0011_2 + 11/34*c_1001_5^12 - 273/34*c_1001_5^10 + 1186/17*c_1001_5^8 - 7983/34*c_1001_5^6 + 3584/17*c_1001_5^4 - 1051/17*c_1001_5^2 + 117/34, c_0101_0 - 124/221*c_1001_5^13 + 6189/442*c_1001_5^11 - 54289/442*c_1001_5^9 + 186651/442*c_1001_5^7 - 5355/13*c_1001_5^5 + 60653/442*c_1001_5^3 - 2317/221*c_1001_5, c_0101_1 - 7/26*c_1001_5^13 + 2927/442*c_1001_5^11 - 25001/442*c_1001_5^9 + 40323/221*c_1001_5^7 - 59017/442*c_1001_5^5 + 5013/221*c_1001_5^3 + 332/221*c_1001_5, c_0101_3 + c_1001_5, c_0101_4 - 214/221*c_1001_5^13 + 5323/221*c_1001_5^11 - 46416/221*c_1001_5^9 + 157399/221*c_1001_5^7 - 145461/221*c_1001_5^5 + 44768/221*c_1001_5^3 - 3234/221*c_1001_5, c_1001_5^14 - 25*c_1001_5^12 + 220*c_1001_5^10 - 762*c_1001_5^8 + 765*c_1001_5^6 - 271*c_1001_5^4 + 29*c_1001_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB