Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 341150073] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3130 geometric_solution 6.29102621 oriented_manifold CS_known -0.0000000000000001 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 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 -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 0.854435801243 0.666740506545 0 5 4 6 0132 0132 3012 0132 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 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 0.746518386460 0.736690537940 6 0 3 6 3012 0132 3012 0321 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 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 0.719966357214 1.249151951247 6 2 5 0 0132 1230 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613908640012 0.304761691218 4 1 0 4 3201 1230 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 -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 0.905740366758 0.699814340191 5 1 3 5 3201 0132 3120 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281649652931 0.676370800704 3 2 1 2 0132 0321 0132 1230 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 -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 1.170877311906 0.762236013743 ==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' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_1001_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 12331897/64859730*c_1001_3^7 + 14377717/21619910*c_1001_3^6 - 9422912/10809955*c_1001_3^5 + 2153009/6485973*c_1001_3^4 - 175213496/32429865*c_1001_3^3 - 23728418/10809955*c_1001_3^2 - 33476983/64859730*c_1001_3 - 92517148/32429865, c_0011_0 - 1, c_0011_3 - 21391/1593046*c_0101_2*c_1001_3^7 - 109573/1593046*c_0101_2*c_1001_3^6 - 7731/1593046*c_0101_2*c_1001_3^5 + 76968/796523*c_0101_2*c_1001_3^4 + 213242/796523*c_0101_2*c_1001_3^3 + 778125/796523*c_0101_2*c_1001_3^2 - 317791/1593046*c_0101_2*c_1001_3 + 326539/1593046*c_0101_2, c_0011_4 + 118/8753*c_1001_3^7 + 843/8753*c_1001_3^6 + 931/8753*c_1001_3^5 - 1857/8753*c_1001_3^4 - 2378/8753*c_1001_3^3 - 11817/8753*c_1001_3^2 - 3823/8753*c_1001_3 - 1877/8753, c_0101_0 + 17331/1593046*c_0101_2*c_1001_3^7 + 14841/796523*c_0101_2*c_1001_3^6 - 86403/796523*c_0101_2*c_1001_3^5 + 101406/796523*c_0101_2*c_1001_3^4 - 734099/1593046*c_0101_2*c_1001_3^3 + 739351/1593046*c_0101_2*c_1001_3^2 + 96241/1593046*c_0101_2*c_1001_3 - 75029/1593046*c_0101_2, c_0101_1 + 1005/1593046*c_0101_2*c_1001_3^7 + 1550/796523*c_0101_2*c_1001_3^6 + 37823/1593046*c_0101_2*c_1001_3^5 + 83368/796523*c_0101_2*c_1001_3^4 - 215193/1593046*c_0101_2*c_1001_3^3 - 141/796523*c_0101_2*c_1001_3^2 - 1394987/1593046*c_0101_2*c_1001_3 - 112547/796523*c_0101_2, c_0101_2^2 + 351320/10354799*c_1001_3^7 + 956864/10354799*c_1001_3^6 - 2011140/10354799*c_1001_3^5 + 3250880/10354799*c_1001_3^4 - 12407156/10354799*c_1001_3^3 + 3658156/10354799*c_1001_3^2 - 24508112/10354799*c_1001_3 + 3850628/10354799, c_1001_3^8 + 3*c_1001_3^7 - 6*c_1001_3^6 + 5*c_1001_3^5 - 31*c_1001_3^4 + 6*c_1001_3^3 - 4*c_1001_3^2 - 8*c_1001_3 + 15 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB