Magma V2.19-8 Tue Aug 20 2013 16:17:24 on localhost [Seed = 2884253536] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1640 geometric_solution 5.38210839 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 0 -1 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 0.520908473343 0.953593974710 2 3 4 0 1302 0132 0132 0132 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477580275511 0.307903645555 3 1 0 5 0132 2031 0132 0132 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 1 0 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 0.477580275511 0.307903645555 2 1 6 6 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.132936029451 0.665872880068 5 6 5 1 1023 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.753628276819 1.510722767926 6 4 2 4 0132 1023 0132 0132 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.753628276819 1.510722767926 5 3 4 3 0132 2310 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343959775740 0.385581694123 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : 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' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_1']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), '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_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0101_0, c_0101_3, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 6*c_1001_1*c_1100_0 + 4*c_1001_1 + 17/5*c_1100_0 + 31/5, c_0011_0 - 1, c_0011_1 - c_1001_1*c_1100_0 + c_1001_1, c_0011_4 + c_1001_1*c_1100_0 - c_1001_1 + 1, c_0101_0 - c_1100_0, c_0101_3 + c_1001_1, c_1001_1^2 + 2/5*c_1001_1*c_1100_0 + 1/5*c_1001_1 - 3/5*c_1100_0 - 4/5, c_1100_0^2 + c_1100_0 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_3, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 91/80*c_1100_0^7 - 469/80*c_1100_0^6 - 59/8*c_1100_0^5 - 257/40*c_1100_0^4 - 807/80*c_1100_0^3 + 41/20*c_1100_0^2 - 639/40*c_1100_0 + 809/80, c_0011_0 - 1, c_0011_1 + 7/80*c_1100_0^7 + 41/80*c_1100_0^6 + 39/40*c_1100_0^5 + 49/40*c_1100_0^4 + 91/80*c_1100_0^3 + 9/20*c_1100_0^2 + 51/40*c_1100_0 - 1/16, c_0011_4 - 1, c_0101_0 - 3/40*c_1100_0^7 - 13/40*c_1100_0^6 - 3/20*c_1100_0^5 + 3/20*c_1100_0^4 + 1/40*c_1100_0^3 + 11/10*c_1100_0^2 - 3/20*c_1100_0 + 5/8, c_0101_3 - 3/80*c_1100_0^7 - 17/80*c_1100_0^6 - 19/40*c_1100_0^5 - 41/40*c_1100_0^4 - 119/80*c_1100_0^3 - 11/10*c_1100_0^2 - 49/40*c_1100_0 - 7/16, c_1001_1 + 3/80*c_1100_0^7 + 17/80*c_1100_0^6 + 19/40*c_1100_0^5 + 41/40*c_1100_0^4 + 119/80*c_1100_0^3 + 11/10*c_1100_0^2 + 49/40*c_1100_0 + 7/16, c_1100_0^8 + 6*c_1100_0^7 + 11*c_1100_0^6 + 12*c_1100_0^5 + 15*c_1100_0^4 + 7*c_1100_0^3 + 14*c_1100_0^2 + 3*c_1100_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB