Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 610646046] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0099 geometric_solution 3.63178944 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 0 0 0 0 0 -1 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 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 -0.005442370752 1.968566860633 0 3 0 2 0132 1302 0213 1302 0 0 0 0 0 0 1 -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 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 1.001404379447 0.507979879599 4 4 1 0 0132 2310 2031 0132 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 1 0 -1 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 0.001087170438 0.131077929925 3 3 0 1 1230 3012 0132 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 -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 -0.005442370752 1.968566860633 2 5 5 2 0132 0132 3201 3201 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 -0.847797431780 1.031875818667 4 4 6 6 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 4.189065935917 0.864586853455 5 6 5 6 2310 1302 0132 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 -0.608798526715 0.076899568412 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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' : 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_0011_6']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : negation(d['c_1010_1']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : negation(d['c_0011_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_2, c_0011_3, c_0011_6, c_0101_0, c_0101_5, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 3*c_1010_1^2 - c_1010_1 - 8, c_0011_0 - 1, c_0011_2 - 1, c_0011_3 + c_1010_1^2 - 1, c_0011_6 + c_1010_1^2 - 1, c_0101_0 + c_1010_1, c_0101_5 + 1, c_1010_1^3 - c_1010_1^2 - 2*c_1010_1 + 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_0011_6, c_0101_0, c_0101_5, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 252751/3479*c_1010_1^11 + 2017126/3479*c_1010_1^10 + 10199394/3479*c_1010_1^9 - 13824504/3479*c_1010_1^8 - 47484376/3479*c_1010_1^7 + 4712745/497*c_1010_1^6 + 10873099/497*c_1010_1^5 - 28727533/3479*c_1010_1^4 - 42940906/3479*c_1010_1^3 + 3406069/3479*c_1010_1^2 + 6003073/3479*c_1010_1 + 635703/3479, c_0011_0 - 1, c_0011_2 - 221/497*c_1010_1^11 + 1989/497*c_1010_1^10 + 1008/71*c_1010_1^9 - 20637/497*c_1010_1^8 - 26833/497*c_1010_1^7 + 9515/71*c_1010_1^6 + 3835/71*c_1010_1^5 - 80014/497*c_1010_1^4 + 3312/497*c_1010_1^3 + 3930/71*c_1010_1^2 - 4600/497*c_1010_1 - 1262/497, c_0011_3 - 241/497*c_1010_1^11 + 2160/497*c_1010_1^10 + 7773/497*c_1010_1^9 - 22195/497*c_1010_1^8 - 30013/497*c_1010_1^7 + 71313/497*c_1010_1^6 + 31636/497*c_1010_1^5 - 85434/497*c_1010_1^4 + 25/71*c_1010_1^3 + 4177/71*c_1010_1^2 - 3754/497*c_1010_1 - 179/71, c_0011_6 + 10/71*c_1010_1^11 - 747/497*c_1010_1^10 - 1360/497*c_1010_1^9 + 11700/497*c_1010_1^8 + 645/71*c_1010_1^7 - 6256/71*c_1010_1^6 + 136/71*c_1010_1^5 + 8085/71*c_1010_1^4 - 12255/497*c_1010_1^3 - 20295/497*c_1010_1^2 + 4007/497*c_1010_1 + 176/71, c_0101_0 - 9/497*c_1010_1^11 + 61/497*c_1010_1^10 + 459/497*c_1010_1^9 - 129/497*c_1010_1^8 - 382/71*c_1010_1^7 - 417/497*c_1010_1^6 + 5905/497*c_1010_1^5 + 1380/497*c_1010_1^4 - 5465/497*c_1010_1^3 - 263/71*c_1010_1^2 + 1639/497*c_1010_1 + 738/497, c_0101_5 - 8/497*c_1010_1^11 + 72/497*c_1010_1^10 + 240/497*c_1010_1^9 - 615/497*c_1010_1^8 - 492/497*c_1010_1^7 + 1782/497*c_1010_1^6 + 1214/497*c_1010_1^5 - 1985/497*c_1010_1^4 - 2865/497*c_1010_1^3 + 601/497*c_1010_1^2 + 1719/497*c_1010_1 + 16/497, c_1010_1^12 - 9*c_1010_1^11 - 32*c_1010_1^10 + 94*c_1010_1^9 + 124*c_1010_1^8 - 307*c_1010_1^7 - 133*c_1010_1^6 + 379*c_1010_1^5 + 5*c_1010_1^4 - 144*c_1010_1^3 + 10*c_1010_1^2 + 12*c_1010_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB