Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 3086363478] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0567 geometric_solution 4.58848230 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 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 1 0 -1 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 1.128251164609 1.351903264543 0 4 5 2 0132 0132 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.367143603440 1.087742427771 5 0 1 4 0213 0132 2031 2103 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 -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 0.552088857231 0.356372185508 0 6 6 0 3201 0132 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.326695200552 0.263709287150 6 1 6 2 2103 0132 1230 2103 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 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 0.636117633514 0.436014404056 2 5 5 1 0213 1230 3012 0132 0 0 0 0 0 1 0 -1 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 1 -1 0 1 0 -1 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 -0.123783258870 0.255895089507 3 3 4 4 2310 0132 2103 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.853354851292 1.496033262334 ==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_0110_4']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0011_5']), 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 727/49*c_0110_4^10 - 107/49*c_0110_4^9 + 1990/49*c_0110_4^8 - 253/49*c_0110_4^7 + 4451/49*c_0110_4^6 + 229/49*c_0110_4^5 + 4091/49*c_0110_4^4 + 157/7*c_0110_4^3 - 942/49*c_0110_4^2 + 167/7*c_0110_4 - 1534/49, c_0011_0 - 1, c_0011_3 + 13/7*c_0110_4^10 - 2/7*c_0110_4^9 + 37/7*c_0110_4^8 - 1/7*c_0110_4^7 + 83/7*c_0110_4^6 + 12/7*c_0110_4^5 + 80/7*c_0110_4^4 + 6*c_0110_4^3 - 4/7*c_0110_4^2 + 6*c_0110_4 - 22/7, c_0011_5 - 15/7*c_0110_4^10 - 2/7*c_0110_4^9 - 40/7*c_0110_4^8 - 8/7*c_0110_4^7 - 92/7*c_0110_4^6 - 37/7*c_0110_4^5 - 88/7*c_0110_4^4 - 9*c_0110_4^3 + 3/7*c_0110_4^2 - 6*c_0110_4 + 13/7, c_0101_0 + c_0110_4, c_0101_1 - 13/7*c_0110_4^10 + 2/7*c_0110_4^9 - 37/7*c_0110_4^8 + 1/7*c_0110_4^7 - 83/7*c_0110_4^6 - 12/7*c_0110_4^5 - 80/7*c_0110_4^4 - 6*c_0110_4^3 + 11/7*c_0110_4^2 - 6*c_0110_4 + 22/7, c_0101_4 + 13/7*c_0110_4^10 - 2/7*c_0110_4^9 + 37/7*c_0110_4^8 - 1/7*c_0110_4^7 + 83/7*c_0110_4^6 + 12/7*c_0110_4^5 + 80/7*c_0110_4^4 + 6*c_0110_4^3 - 4/7*c_0110_4^2 + 6*c_0110_4 - 22/7, c_0110_4^11 + c_0110_4^10 + 3*c_0110_4^9 + 3*c_0110_4^8 + 7*c_0110_4^7 + 8*c_0110_4^6 + 9*c_0110_4^5 + 10*c_0110_4^4 + 4*c_0110_4^3 + 3*c_0110_4^2 + c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB