Magma V2.19-8 Tue Aug 20 2013 16:17:53 on localhost [Seed = 880126199] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2119 geometric_solution 5.61462643 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 3201 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455744671121 0.151519063998 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479283262176 1.282010558566 1 3 4 5 0132 3201 0132 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.206642512093 1.033832682678 4 6 2 1 2310 0132 2310 0132 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 0 0 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.206642512093 1.033832682678 6 5 3 2 2031 3120 3201 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 -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 0.185911327374 0.930114545996 6 4 2 6 3120 3120 0132 2310 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 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.363691853530 0.728960752093 5 3 4 5 3201 0132 1302 3120 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 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389597436263 0.473797144254 ==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' : negation(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' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_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_3, c_0011_4, c_0011_5, c_0101_1, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 2437033/97776*c_0110_0^13 - 951241/13968*c_0110_0^12 - 4606165/24444*c_0110_0^11 + 55263965/97776*c_0110_0^10 + 7474321/13968*c_0110_0^9 - 60067447/32592*c_0110_0^8 - 24011137/48888*c_0110_0^7 + 18637195/6984*c_0110_0^6 - 2550305/5432*c_0110_0^5 - 25705241/24444*c_0110_0^4 + 78417149/97776*c_0110_0^3 - 19414991/24444*c_0110_0^2 + 8156147/32592*c_0110_0 - 1736341/48888, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_3 - 2*c_0110_0^13 + 11/2*c_0110_0^12 + 29/2*c_0110_0^11 - 45*c_0110_0^10 - 75/2*c_0110_0^9 + 289/2*c_0110_0^8 + 41/2*c_0110_0^7 - 204*c_0110_0^6 + 67*c_0110_0^5 + 71*c_0110_0^4 - 78*c_0110_0^3 + 139/2*c_0110_0^2 - 27*c_0110_0 + 11/2, c_0011_4 - 1/2*c_0110_0^13 + 5/4*c_0110_0^12 + 15/4*c_0110_0^11 - 10*c_0110_0^10 - 41/4*c_0110_0^9 + 125/4*c_0110_0^8 + 31/4*c_0110_0^7 - 85/2*c_0110_0^6 + 12*c_0110_0^5 + 25/2*c_0110_0^4 - 15*c_0110_0^3 + 65/4*c_0110_0^2 - 15/2*c_0110_0 + 7/4, c_0011_5 - 1/4*c_0110_0^13 + 3/4*c_0110_0^12 + 2*c_0110_0^11 - 25/4*c_0110_0^10 - 27/4*c_0110_0^9 + 81/4*c_0110_0^8 + 21/2*c_0110_0^7 - 57/2*c_0110_0^6 - 9/2*c_0110_0^5 + 10*c_0110_0^4 - 13/4*c_0110_0^3 + 9*c_0110_0^2 - 5/4*c_0110_0 + 1/2, c_0101_1 + c_0110_0^3 - 2*c_0110_0, c_0110_0^14 - 4*c_0110_0^13 - 4*c_0110_0^12 + 32*c_0110_0^11 - 8*c_0110_0^10 - 99*c_0110_0^9 + 76*c_0110_0^8 + 125*c_0110_0^7 - 156*c_0110_0^6 - 8*c_0110_0^5 + 83*c_0110_0^4 - 77*c_0110_0^3 + 54*c_0110_0^2 - 17*c_0110_0 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB