Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 3869735679] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s651 geometric_solution 5.14525647 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.518853216745 0.251570724872 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 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 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920669508661 0.505040945725 1 4 5 3 0132 0132 0132 2310 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467342957143 1.088732834049 2 5 4 1 3201 1023 1023 0132 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 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 0.467342957143 1.088732834049 4 2 3 4 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878575658767 0.888414275734 3 5 5 2 1023 3201 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 -0.332924961998 0.775589600447 ==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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 1527104037/15484127*c_0101_4^19 - 40255471605/15484127*c_0101_4^17 + 233727085927/15484127*c_0101_4^15 + 32574295859/15484127*c_0101_4^13 + 67641176219/15484127*c_0101_4^11 - 3235223781/910831*c_0101_4^9 - 144061920757/15484127*c_0101_4^7 + 97650339487/15484127*c_0101_4^5 - 17107112462/15484127*c_0101_4^3 + 72183882/15484127*c_0101_4, c_0011_0 - 1, c_0011_1 - 7428384/170325397*c_0101_4^18 + 258026239/170325397*c_0101_4^16 - 251755976/15484127*c_0101_4^14 + 9170218566/170325397*c_0101_4^12 + 2019211767/170325397*c_0101_4^10 + 226199762/10019141*c_0101_4^8 - 636121857/170325397*c_0101_4^6 - 6262029205/170325397*c_0101_4^4 + 3520980244/170325397*c_0101_4^2 - 600239864/170325397, c_0011_3 - 1585590881/170325397*c_0101_4^19 + 42229071107/170325397*c_0101_4^17 - 23097679141/15484127*c_0101_4^15 + 32580983678/170325397*c_0101_4^13 - 62608117755/170325397*c_0101_4^11 + 4388062821/10019141*c_0101_4^9 + 132597547974/170325397*c_0101_4^7 - 142545610769/170325397*c_0101_4^5 + 46364533461/170325397*c_0101_4^3 - 4916844201/170325397*c_0101_4, c_0101_0 + 1749107817/170325397*c_0101_4^19 - 46502729551/170325397*c_0101_4^17 + 25281178201/15484127*c_0101_4^15 - 22451969585/170325397*c_0101_4^13 + 65136679373/170325397*c_0101_4^11 - 4852835591/10019141*c_0101_4^9 - 152706422408/170325397*c_0101_4^7 + 149247110310/170325397*c_0101_4^5 - 42447603136/170325397*c_0101_4^3 + 3700011144/170325397*c_0101_4, c_0101_1 - 176751947/170325397*c_0101_4^18 + 4792694730/170325397*c_0101_4^16 - 2778785140/15484127*c_0101_4^14 + 16590478087/170325397*c_0101_4^12 - 4652321943/170325397*c_0101_4^10 + 720584957/10019141*c_0101_4^8 + 12146344206/170325397*c_0101_4^6 - 24047093484/170325397*c_0101_4^4 + 10407588285/170325397*c_0101_4^2 - 1333763884/170325397, c_0101_4^20 - 27*c_0101_4^18 + 170*c_0101_4^16 - 79*c_0101_4^14 + 45*c_0101_4^12 - 62*c_0101_4^10 - 67*c_0101_4^8 + 121*c_0101_4^6 - 61*c_0101_4^4 + 13*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB