Magma V2.19-8 Tue Aug 20 2013 16:18:08 on localhost [Seed = 1579139941] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2349 geometric_solution 5.72541931 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 1 0 -1 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 0.819662865773 0.862158344510 0 5 5 4 0132 0132 1023 1230 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 1.088424731457 0.332206495477 6 0 3 4 0132 0132 3201 2103 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537457587095 0.352192991128 2 6 6 0 2310 0132 3120 0132 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 0 0 0 -1 0 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 0.267502803714 0.933515163953 1 6 0 2 3012 0321 0132 2103 0 0 0 0 0 0 1 -1 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 1 -1 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 0.232441591718 1.111260078354 5 1 1 5 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.168124637158 0.191973356639 2 3 3 4 0132 0132 3120 0321 0 0 0 0 0 0 0 0 -1 0 0 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 -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 0.267502803714 0.933515163953 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_3'])})} 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_4, c_0101_1, c_0101_3, c_0101_5, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 3962800/874627*c_1001_0^12 - 6741834/874627*c_1001_0^11 - 25837550/874627*c_1001_0^10 - 28940708/874627*c_1001_0^9 - 32417020/874627*c_1001_0^8 + 2638076/874627*c_1001_0^7 + 25700759/874627*c_1001_0^6 + 50267006/874627*c_1001_0^5 + 36551615/874627*c_1001_0^4 + 23782451/874627*c_1001_0^3 - 130369/67279*c_1001_0^2 - 5323047/874627*c_1001_0 - 5857919/874627, c_0011_0 - 1, c_0011_4 - 6276/46033*c_1001_0^12 + 19830/46033*c_1001_0^11 - 33850/46033*c_1001_0^10 + 85692/46033*c_1001_0^9 - 99670/46033*c_1001_0^8 + 5290/46033*c_1001_0^7 - 238115/46033*c_1001_0^6 + 60226/46033*c_1001_0^5 - 5035/46033*c_1001_0^4 + 207874/46033*c_1001_0^3 + 2292/3541*c_1001_0^2 + 108470/46033*c_1001_0 - 35843/46033, c_0101_1 - 118538/46033*c_1001_0^12 - 204878/46033*c_1001_0^11 - 734078/46033*c_1001_0^10 - 807598/46033*c_1001_0^9 - 730402/46033*c_1001_0^8 + 369717/46033*c_1001_0^7 + 1004190/46033*c_1001_0^6 + 1452650/46033*c_1001_0^5 + 820119/46033*c_1001_0^4 + 375725/46033*c_1001_0^3 - 17374/3541*c_1001_0^2 - 266506/46033*c_1001_0 - 116330/46033, c_0101_3 + 85974/46033*c_1001_0^12 + 118356/46033*c_1001_0^11 + 493544/46033*c_1001_0^10 + 422398/46033*c_1001_0^9 + 400432/46033*c_1001_0^8 - 349017/46033*c_1001_0^7 - 580973/46033*c_1001_0^6 - 788676/46033*c_1001_0^5 - 369484/46033*c_1001_0^4 - 206767/46033*c_1001_0^3 + 11101/3541*c_1001_0^2 + 102532/46033*c_1001_0 + 46125/46033, c_0101_5 - 97056/46033*c_1001_0^12 - 141168/46033*c_1001_0^11 - 545834/46033*c_1001_0^10 - 510140/46033*c_1001_0^9 - 368090/46033*c_1001_0^8 + 399550/46033*c_1001_0^7 + 817080/46033*c_1001_0^6 + 923011/46033*c_1001_0^5 + 471451/46033*c_1001_0^4 + 59365/46033*c_1001_0^3 - 18469/3541*c_1001_0^2 - 246256/46033*c_1001_0 - 29364/46033, c_0101_6 + 85974/46033*c_1001_0^12 + 118356/46033*c_1001_0^11 + 493544/46033*c_1001_0^10 + 422398/46033*c_1001_0^9 + 400432/46033*c_1001_0^8 - 349017/46033*c_1001_0^7 - 580973/46033*c_1001_0^6 - 788676/46033*c_1001_0^5 - 369484/46033*c_1001_0^4 - 206767/46033*c_1001_0^3 + 11101/3541*c_1001_0^2 + 102532/46033*c_1001_0 + 46125/46033, c_1001_0^13 + 2*c_1001_0^12 + 7*c_1001_0^11 + 9*c_1001_0^10 + 10*c_1001_0^9 + 1/2*c_1001_0^8 - 15/2*c_1001_0^7 - 31/2*c_1001_0^6 - 25/2*c_1001_0^5 - 17/2*c_1001_0^4 - c_1001_0^3 + 3/2*c_1001_0^2 + 2*c_1001_0 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB