Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 1141233815] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1289 geometric_solution 5.18325433 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 1 0 -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 1 1 -2 -1 0 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 0.246827683070 0.955397576567 0 4 0 4 0132 0132 2310 1023 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -1 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 -1.295605763536 1.694205098093 5 3 6 0 0132 3012 0132 0132 0 0 0 1 0 0 0 0 -1 0 0 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 1 -1 1 0 0 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.238240385682 0.689929428964 2 6 0 5 1230 1023 0132 1023 0 0 1 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 -1 2 -1 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 1.238240385682 0.689929428964 4 1 4 1 2031 0132 1302 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368799217660 0.074760395755 2 6 6 3 0132 3120 0321 1023 0 0 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 0 0 0 0 0 -1 1 -1 0 0 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721171828044 0.653168871328 3 5 5 2 1023 3120 0321 0132 0 0 1 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 1 -1 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 0.721171828044 0.653168871328 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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_1001_5'], 'c_1100_5' : negation(d['c_1001_5']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1001_5'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], '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_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0110_4'], '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_2, c_0101_0, c_0101_1, c_0101_2, c_0110_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 234841/218463*c_1001_5^8 + 391063/873852*c_1001_5^7 + 9363245/873852*c_1001_5^6 - 5765/1442*c_1001_5^5 + 1179353/41612*c_1001_5^4 - 14203433/873852*c_1001_5^3 - 2768089/291284*c_1001_5^2 - 4710269/873852*c_1001_5 - 8880733/873852, c_0011_0 - 1, c_0011_2 - 1, c_0101_0 + 1429/10403*c_1001_5^8 + 91/10403*c_1001_5^7 + 13859/10403*c_1001_5^6 - 110/103*c_1001_5^5 + 37416/10403*c_1001_5^4 - 42145/10403*c_1001_5^3 - 5192/10403*c_1001_5^2 - 22223/10403*c_1001_5 + 881/10403, c_0101_1 - 1175/20806*c_1001_5^8 + 1221/20806*c_1001_5^7 - 6080/10403*c_1001_5^6 + 223/206*c_1001_5^5 - 47269/20806*c_1001_5^4 + 82017/20806*c_1001_5^3 - 39141/20806*c_1001_5^2 + 40433/20806*c_1001_5 + 2881/10403, c_0101_2 - 881/10403*c_1001_5^8 + 1429/10403*c_1001_5^7 - 8719/10403*c_1001_5^6 + 207/103*c_1001_5^5 - 37540/10403*c_1001_5^4 + 62965/10403*c_1001_5^3 - 46550/10403*c_1001_5^2 + 4499/10403*c_1001_5 - 10058/10403, c_0110_4 - 3897/20806*c_1001_5^8 - 317/10403*c_1001_5^7 - 40197/20806*c_1001_5^6 + 231/206*c_1001_5^5 - 62091/10403*c_1001_5^4 + 46441/10403*c_1001_5^3 - 15066/10403*c_1001_5^2 + 24256/10403*c_1001_5 + 15011/20806, c_1001_5^9 + 10*c_1001_5^7 - 8*c_1001_5^6 + 30*c_1001_5^5 - 29*c_1001_5^4 + 5*c_1001_5^3 - 11*c_1001_5^2 - 2*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB