Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 3414840999] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3136 geometric_solution 6.29580640 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 -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 1.523884519726 1.321956139980 0 5 4 2 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593242508732 0.317626736717 3 0 1 6 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 -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 0.689903204887 0.701436197997 2 5 5 0 0132 3012 2031 0132 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 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 0.241162223052 0.669597807051 6 5 0 1 0321 0213 0132 3012 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.316875259084 0.592456565534 3 1 4 3 1230 0132 0213 1302 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785625995487 0.708078028194 4 6 2 6 0321 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 -1 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 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 0.337757257196 1.188723631086 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(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_6']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1001_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), '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_0'], 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2']})} 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_0011_6, c_0101_0, c_0101_1, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 110513/52800*c_1001_1*c_1001_2^8 + 33637/3300*c_1001_1*c_1001_2^7 - 17341/2640*c_1001_1*c_1001_2^6 - 197123/26400*c_1001_1*c_1001_2^5 - 1086113/26400*c_1001_1*c_1001_2^4 + 132889/10560*c_1001_1*c_1001_2^3 + 59282/825*c_1001_1*c_1001_2^2 + 5140667/52800*c_1001_1*c_1001_2 + 504547/17600*c_1001_1, c_0011_0 - 1, c_0011_4 + 71/440*c_1001_1*c_1001_2^8 - 48/55*c_1001_1*c_1001_2^7 + 25/22*c_1001_1*c_1001_2^6 - 9/20*c_1001_1*c_1001_2^5 + 651/220*c_1001_1*c_1001_2^4 - 21/8*c_1001_1*c_1001_2^3 - 137/55*c_1001_1*c_1001_2^2 - 1349/440*c_1001_1*c_1001_2 + 113/440*c_1001_1, c_0011_6 + 7/44*c_1001_2^8 - 21/22*c_1001_2^7 + 25/22*c_1001_2^6 + 3/11*c_1001_2^5 + 42/11*c_1001_2^4 - 145/44*c_1001_2^3 - 71/11*c_1001_2^2 - 337/44*c_1001_2 - 73/44, c_0101_0 - 1/40*c_1001_1*c_1001_2^8 + 1/10*c_1001_1*c_1001_2^7 - 1/20*c_1001_1*c_1001_2^5 - 11/20*c_1001_1*c_1001_2^4 - 3/8*c_1001_1*c_1001_2^3 + 2/5*c_1001_1*c_1001_2^2 + 59/40*c_1001_1*c_1001_2 + 77/40*c_1001_1, c_0101_1 + 1/11*c_1001_2^8 - 13/22*c_1001_2^7 + 17/22*c_1001_2^6 + 7/22*c_1001_2^5 + 45/22*c_1001_2^4 - 47/22*c_1001_2^3 - 58/11*c_1001_2^2 - 51/11*c_1001_2 - 31/22, c_1001_1^2 - 5/22*c_1001_2^8 + 19/22*c_1001_2^7 - 9/22*c_1001_2^6 + 15/22*c_1001_2^5 - 87/22*c_1001_2^4 - 4/11*c_1001_2^3 + 4/11*c_1001_2^2 + 71/22*c_1001_2 + 8/11, c_1001_2^9 - 5*c_1001_2^8 + 4*c_1001_2^7 + 2*c_1001_2^6 + 20*c_1001_2^5 - 7*c_1001_2^4 - 31*c_1001_2^3 - 43*c_1001_2^2 - 18*c_1001_2 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB