Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 913812192] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1528 geometric_solution 5.32350086 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 -1 1 -1 0 0 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 0.412234230979 0.498448323379 0 3 2 4 0132 0132 1230 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 0 0 0 1 0 0 -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 0.602679063049 0.871973330759 3 0 4 1 3201 0132 0132 3012 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 0.602679063049 0.871973330759 3 1 3 2 2310 0132 3201 2310 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.192532909877 1.157116379003 5 5 1 2 0132 2310 0132 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 -1 0 1 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 0.098807428513 1.806970687117 4 6 6 4 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.298123814409 0.341005402053 5 5 6 6 2310 0132 1230 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 -1 1 0 0 0 1 -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 2.645643613138 0.505007126882 ==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_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 848495993346/2318648695*c_0110_2^15 + 11734675080263/6955946085*c_0110_2^13 - 640820397906/463729739*c_0110_2^11 + 2187615277187/463729739*c_0110_2^9 - 2027159289074/632358735*c_0110_2^7 + 399364209662/632358735*c_0110_2^5 - 1840209830854/6955946085*c_0110_2^3 + 113517616211/2318648695*c_0110_2, c_0011_0 - 1, c_0011_4 - 385945758/42157249*c_0110_2^15 - 4873506890/126471747*c_0110_2^13 + 2192416147/42157249*c_0110_2^11 - 5430204216/42157249*c_0110_2^9 + 16324740976/126471747*c_0110_2^7 - 5300839945/126471747*c_0110_2^5 + 2070714622/126471747*c_0110_2^3 - 180599779/42157249*c_0110_2, c_0101_0 - 3279929814/463729739*c_0110_2^14 - 14629246969/463729739*c_0110_2^12 + 14646832126/463729739*c_0110_2^10 - 44258455151/463729739*c_0110_2^8 + 3135103602/42157249*c_0110_2^6 - 921765254/42157249*c_0110_2^4 + 1849660180/463729739*c_0110_2^2 - 638605081/463729739, c_0101_1 + 7657253397/463729739*c_0110_2^14 + 106471521976/1391189217*c_0110_2^12 - 27766141088/463729739*c_0110_2^10 + 99345167131/463729739*c_0110_2^8 - 17754278710/126471747*c_0110_2^6 + 4039752382/126471747*c_0110_2^4 - 18974558711/1391189217*c_0110_2^2 + 1132456862/463729739, c_0101_2 + 13811868/373073*c_0110_2^15 + 187796089/1119219*c_0110_2^13 - 57251498/373073*c_0110_2^11 + 181517683/373073*c_0110_2^9 - 401631050/1119219*c_0110_2^7 + 94221239/1119219*c_0110_2^5 - 28795901/1119219*c_0110_2^3 + 2291799/373073*c_0110_2, c_0101_6 - 3205744551/463729739*c_0110_2^14 - 45243921904/1391189217*c_0110_2^12 + 10396374688/463729739*c_0110_2^10 - 41861836466/463729739*c_0110_2^8 + 6599009581/126471747*c_0110_2^6 - 1743638902/126471747*c_0110_2^4 + 4707005360/1391189217*c_0110_2^2 + 121619914/463729739, c_0110_2^16 + 116/27*c_0110_2^14 - 47/9*c_0110_2^12 + 380/27*c_0110_2^10 - 346/27*c_0110_2^8 + 121/27*c_0110_2^6 - 35/27*c_0110_2^4 + 10/27*c_0110_2^2 - 1/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB