Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 2378961329] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0167 geometric_solution 3.92575144 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 1 -1 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 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.221800481175 0.171735674932 0 0 2 2 0132 3201 3201 0132 0 0 0 0 0 0 0 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 -1 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 0.631451221255 0.181090751938 1 3 1 4 2310 0132 0132 0132 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 -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 0.969308581233 0.172645039889 5 2 6 4 0132 0132 0132 1230 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 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 0.726889338167 0.147990993098 3 6 2 5 3012 0132 0132 0321 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 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 0.963929837551 0.885762777622 3 4 6 6 0132 0321 1302 3012 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 -1 0 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 1.511541743536 0.910823944063 5 4 5 3 2031 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008138908963 1.617128476191 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(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_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], '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_0011_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_3'], '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_0011_4, c_0101_0, c_0101_1, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 142265/52668*c_1001_3^7 + 10000/1881*c_1001_3^6 - 2840927/52668*c_1001_3^5 + 33771/2926*c_1001_3^4 + 3977243/17556*c_1001_3^3 - 2303563/8778*c_1001_3^2 + 20323/1197*c_1001_3 + 2452831/52668, c_0011_0 - 1, c_0011_2 + 397/399*c_1001_3^7 + 81/19*c_1001_3^6 - 1510/133*c_1001_3^5 - 10835/399*c_1001_3^4 + 15527/399*c_1001_3^3 + 8458/399*c_1001_3^2 - 1942/133*c_1001_3 - 3323/399, c_0011_4 - 2066/1197*c_1001_3^7 - 1282/171*c_1001_3^6 + 22991/1197*c_1001_3^5 + 19172/399*c_1001_3^4 - 25495/399*c_1001_3^3 - 15269/399*c_1001_3^2 + 25129/1197*c_1001_3 + 15632/1197, c_0101_0 - 79/133*c_1001_3^7 - 151/57*c_1001_3^6 + 2510/399*c_1001_3^5 + 6884/399*c_1001_3^4 - 7886/399*c_1001_3^3 - 6133/399*c_1001_3^2 + 2017/399*c_1001_3 + 1966/399, c_0101_1 - 176/1197*c_1001_3^7 - 124/171*c_1001_3^6 + 1424/1197*c_1001_3^5 + 1861/399*c_1001_3^4 - 362/133*c_1001_3^3 - 528/133*c_1001_3^2 - 239/1197*c_1001_3 - 223/1197, c_0101_6 - 1726/1197*c_1001_3^7 - 1058/171*c_1001_3^6 + 19696/1197*c_1001_3^5 + 5286/133*c_1001_3^4 - 22327/399*c_1001_3^3 - 13007/399*c_1001_3^2 + 23768/1197*c_1001_3 + 14893/1197, c_1001_3^8 + 3*c_1001_3^7 - 17*c_1001_3^6 - 13*c_1001_3^5 + 75*c_1001_3^4 - 27*c_1001_3^3 - 44*c_1001_3^2 + 9*c_1001_3 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB