Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 3229703674] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2388 geometric_solution 5.75615351 oriented_manifold CS_known 0.0000000000000002 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 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744489387697 0.423854499663 0 2 4 4 0132 2310 1302 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908971539744 1.053879859891 5 0 5 1 0132 0132 1023 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985594690965 0.577523685121 6 4 6 0 0132 2310 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985594690965 0.577523685121 1 1 0 3 2031 2310 0132 3201 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 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 0.908971539744 1.053879859891 2 6 2 6 0132 0132 1023 1023 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 0.752433775942 0.276739984170 3 5 3 5 0132 0132 1023 1023 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752433775942 0.276739984170 ==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' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(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_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), '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_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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_5']})} 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_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 4/15*c_0110_4 - 7/15, c_0011_0 - 1, c_0011_4 - c_0110_4, c_0101_0 - c_0101_5 + 1, c_0101_2 + c_0101_5*c_0110_4 + c_0101_5 - c_0110_4, c_0101_3 + c_0101_5*c_0110_4 + c_0101_5 - 1, c_0101_5^2 - c_0101_5 - c_0110_4 + 2, c_0110_4^2 + c_0110_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 49/3008*c_0110_4^9 - 393/6016*c_0110_4^8 + 389/6016*c_0110_4^7 + 2495/6016*c_0110_4^6 - 587/6016*c_0110_4^5 - 3725/3008*c_0110_4^4 + 569/1504*c_0110_4^3 + 1627/752*c_0110_4^2 - 253/376*c_0110_4 - 353/188, c_0011_0 - 1, c_0011_4 + 37/376*c_0110_4^9 - 85/752*c_0110_4^8 - 33/94*c_0110_4^7 + 161/752*c_0110_4^6 + 295/376*c_0110_4^5 - 295/376*c_0110_4^4 + 191/376*c_0110_4^3 - 133/188*c_0110_4^2 - 39/94*c_0110_4 + 136/47, c_0101_0 + 81/752*c_0110_4^9 - 87/1504*c_0110_4^8 - 597/1504*c_0110_4^7 + 73/1504*c_0110_4^6 + 1331/1504*c_0110_4^5 - 219/752*c_0110_4^4 + 103/376*c_0110_4^3 - 117/188*c_0110_4^2 - 117/94*c_0110_4 + 126/47, c_0101_2 - 121/752*c_0110_4^9 + 123/1504*c_0110_4^8 + 951/1504*c_0110_4^7 + 7/1504*c_0110_4^6 - 2073/1504*c_0110_4^5 + 355/752*c_0110_4^4 - 97/376*c_0110_4^3 + 45/47*c_0110_4^2 + 133/94*c_0110_4 - 183/47, c_0101_3 + 121/752*c_0110_4^9 - 123/1504*c_0110_4^8 - 951/1504*c_0110_4^7 - 7/1504*c_0110_4^6 + 2073/1504*c_0110_4^5 - 355/752*c_0110_4^4 + 97/376*c_0110_4^3 - 45/47*c_0110_4^2 - 133/94*c_0110_4 + 183/47, c_0101_5 - 81/752*c_0110_4^9 + 87/1504*c_0110_4^8 + 597/1504*c_0110_4^7 - 73/1504*c_0110_4^6 - 1331/1504*c_0110_4^5 + 219/752*c_0110_4^4 - 103/376*c_0110_4^3 + 117/188*c_0110_4^2 + 117/94*c_0110_4 - 126/47, c_0110_4^10 + 1/2*c_0110_4^9 - 9/2*c_0110_4^8 - 7/2*c_0110_4^7 + 19/2*c_0110_4^6 + 5*c_0110_4^5 - 4*c_0110_4^4 - 4*c_0110_4^3 - 16*c_0110_4^2 + 16*c_0110_4 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB