Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 1326371741] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1320 geometric_solution 5.20567262 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 -1 1 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 1 0 -1 0 0 1 -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 0.535270232619 0.146217910898 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 1 -1 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 -1 0 1 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 0.680160863133 0.701412758081 4 1 5 3 0132 0132 0132 1230 0 0 0 0 0 -1 1 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 1 -1 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 0.921397422910 1.203823277554 2 5 1 4 3012 1023 0132 3201 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 -1 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 0.921397422910 1.203823277554 2 3 6 6 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.695278953566 0.437514223886 3 5 5 2 1023 1230 3012 0132 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 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 1.251199464817 0.870850230918 6 4 4 6 3201 3201 0132 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 -0.305788416726 1.060097454872 ==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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_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_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 159670/857*c_0101_5^9 + 191417/857*c_0101_5^8 - 419877/857*c_0101_5^7 - 1054750/857*c_0101_5^6 - 1504942/857*c_0101_5^5 - 1370686/857*c_0101_5^4 - 737849/857*c_0101_5^3 - 417269/857*c_0101_5^2 - 99984/857*c_0101_5 - 35642/857, c_0011_0 - 1, c_0011_3 - 7485/857*c_0101_2*c_0101_5^9 - 5841/857*c_0101_2*c_0101_5^8 + 25883/857*c_0101_2*c_0101_5^7 + 41909/857*c_0101_2*c_0101_5^6 + 41183/857*c_0101_2*c_0101_5^5 + 25124/857*c_0101_2*c_0101_5^4 - 1089/857*c_0101_2*c_0101_5^3 + 1458/857*c_0101_2*c_0101_5^2 - 2239/857*c_0101_2*c_0101_5 - 1325/857*c_0101_2, c_0011_6 + 400/857*c_0101_5^9 + 1480/857*c_0101_5^8 + 514/857*c_0101_5^7 - 4703/857*c_0101_5^6 - 12111/857*c_0101_5^5 - 15567/857*c_0101_5^4 - 11969/857*c_0101_5^3 - 6824/857*c_0101_5^2 - 2184/857*c_0101_5 - 370/857, c_0101_0 - 1350/857*c_0101_5^9 + 3575/857*c_0101_5^8 + 10906/857*c_0101_5^7 - 5231/857*c_0101_5^6 - 26507/857*c_0101_5^5 - 38839/857*c_0101_5^4 - 37056/857*c_0101_5^3 - 17248/857*c_0101_5^2 - 8055/857*c_0101_5 - 2822/857, c_0101_1 - 25370/857*c_0101_5^9 - 37307/857*c_0101_5^8 + 67540/857*c_0101_5^7 + 195812/857*c_0101_5^6 + 257561/857*c_0101_5^5 + 223600/857*c_0101_5^4 + 103336/857*c_0101_5^3 + 38078/857*c_0101_5^2 + 10313/857*c_0101_5 - 2457/857, c_0101_2^2 - 14650/857*c_0101_5^9 - 28495/857*c_0101_5^8 + 27667/857*c_0101_5^7 + 129076/857*c_0101_5^6 + 204998/857*c_0101_5^5 + 210737/857*c_0101_5^4 + 136165/857*c_0101_5^3 + 64817/857*c_0101_5^2 + 24284/857*c_0101_5 + 3910/857, c_0101_5^10 + 8/5*c_0101_5^9 - 11/5*c_0101_5^8 - 38/5*c_0101_5^7 - 59/5*c_0101_5^6 - 62/5*c_0101_5^5 - 42/5*c_0101_5^4 - 5*c_0101_5^3 - 11/5*c_0101_5^2 - 3/5*c_0101_5 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB