Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 3297073580] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3157 geometric_solution 6.31068277 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 1 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974316588610 0.569244770026 3 0 2 4 0132 0132 1302 0132 0 0 0 0 0 1 -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 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 0 0 0 0 0.703703667726 0.803741777141 1 5 3 0 2031 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -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 1 -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 0.703703667726 0.803741777141 1 5 2 4 0132 3201 1023 3201 0 0 0 0 0 0 1 -1 -1 0 0 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 0 0 0 1 0 -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 0.638889078309 0.255735175827 6 3 1 5 0132 2310 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703703667726 0.803741777141 4 2 3 6 3120 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703703667726 0.803741777141 4 6 6 5 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974316588610 0.569244770026 ==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_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_1001_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : 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_2, c_0101_0, c_0101_2, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 27/65*c_1001_0^3 + 18/65*c_1001_0^2 - 99/65*c_1001_0 - 216/65, c_0011_0 - 1, c_0011_2 - 9/13*c_1001_0^3 - 6/13*c_1001_0^2 + 7/13*c_1001_0 + 7/13, c_0101_0 + 12/13*c_1001_0^3 + 21/13*c_1001_0^2 - 5/13*c_1001_0 - 18/13, c_0101_2 + 9/13*c_1001_0^3 + 6/13*c_1001_0^2 - 7/13*c_1001_0 - 7/13, c_0101_3 + 9/13*c_1001_0^3 + 6/13*c_1001_0^2 - 20/13*c_1001_0 - 7/13, c_0101_6 - 12/13*c_1001_0^3 - 21/13*c_1001_0^2 + 5/13*c_1001_0 + 31/13, c_1001_0^4 + c_1001_0^3 - 2*c_1001_0^2 - 2*c_1001_0 + 5/3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_2, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 535/1024*c_1001_0^7 + 785/512*c_1001_0^6 + 813/256*c_1001_0^5 + 1011/256*c_1001_0^4 + 8221/2048*c_1001_0^3 + 2673/1024*c_1001_0^2 + 39/2048*c_1001_0 - 1157/512, c_0011_0 - 1, c_0011_2 - 75/2944*c_1001_0^7 + 195/1472*c_1001_0^6 - 41/736*c_1001_0^5 + 73/736*c_1001_0^4 - 1497/5888*c_1001_0^3 - 285/2944*c_1001_0^2 + 485/5888*c_1001_0 - 287/1472, c_0101_0 + 13/128*c_1001_0^7 + 11/64*c_1001_0^6 + 15/32*c_1001_0^5 + 17/32*c_1001_0^4 + 111/256*c_1001_0^3 + 43/128*c_1001_0^2 + 125/256*c_1001_0 + 25/64, c_0101_2 + 75/2944*c_1001_0^7 - 195/1472*c_1001_0^6 + 41/736*c_1001_0^5 - 73/736*c_1001_0^4 + 1497/5888*c_1001_0^3 + 285/2944*c_1001_0^2 - 485/5888*c_1001_0 + 287/1472, c_0101_3 + 123/1472*c_1001_0^7 + 269/736*c_1001_0^6 + 185/368*c_1001_0^5 + 263/368*c_1001_0^4 + 1513/2944*c_1001_0^3 + 1645/1472*c_1001_0^2 + 971/2944*c_1001_0 + 559/736, c_0101_6 - 465/5888*c_1001_0^7 - 263/2944*c_1001_0^6 - 107/1472*c_1001_0^5 + 11/1472*c_1001_0^4 + 1317/11776*c_1001_0^3 - 3239/5888*c_1001_0^2 + 63/11776*c_1001_0 - 1485/2944, c_1001_0^8 + 2*c_1001_0^7 + 4*c_1001_0^6 + 4*c_1001_0^5 + 11/2*c_1001_0^4 + 5*c_1001_0^3 + 9/2*c_1001_0^2 + 4*c_1001_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB