Magma V2.19-8 Tue Aug 20 2013 16:18:54 on localhost [Seed = 661043793] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3071 geometric_solution 6.23619090 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 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 -1 1 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 0.590595107470 0.742229237660 3 2 4 0 0132 3012 0132 0132 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 1 -1 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 0.952396832325 0.869045645356 1 3 0 4 1230 3201 0132 3201 0 0 0 0 0 1 -1 0 1 0 0 -1 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 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 0.952396832325 0.869045645356 1 5 2 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.458140875201 0.438568358425 6 2 5 1 1023 2310 1023 0132 0 0 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 0 0 0 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 0.351180710996 0.927687783460 6 3 4 6 3201 0132 1023 2310 0 0 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 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 0.590892284934 0.543528509922 5 4 3 5 3201 1023 0132 2310 0 0 0 0 0 1 0 -1 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 0.590892284934 0.543528509922 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_5']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 38376375080/678758069*c_0101_5^11 - 159416101002/678758069*c_0101_5^10 + 164722700466/678758069*c_0101_5^9 + 434116109794/678758069*c_0101_5^8 - 892301325054/678758069*c_0101_5^7 + 266596465418/678758069*c_0101_5^6 + 183870539229/678758069*c_0101_5^5 + 431075487142/678758069*c_0101_5^4 - 793735728908/678758069*c_0101_5^3 + 40052682414/61705279*c_0101_5^2 - 90154721549/678758069*c_0101_5 + 23671432255/678758069, c_0011_0 - 1, c_0011_1 + 48725944/61705279*c_0101_5^11 + 203841900/61705279*c_0101_5^10 - 202860964/61705279*c_0101_5^9 - 557410514/61705279*c_0101_5^8 + 1107585862/61705279*c_0101_5^7 - 313085168/61705279*c_0101_5^6 - 229847850/61705279*c_0101_5^5 - 582413892/61705279*c_0101_5^4 + 1008711935/61705279*c_0101_5^3 - 464360746/61705279*c_0101_5^2 + 97635840/61705279*c_0101_5 - 55903483/61705279, c_0011_4 + 46457774/61705279*c_0101_5^11 + 217892954/61705279*c_0101_5^10 - 70615010/61705279*c_0101_5^9 - 505893532/61705279*c_0101_5^8 + 798040318/61705279*c_0101_5^7 - 23826173/61705279*c_0101_5^6 - 63157876/61705279*c_0101_5^5 - 598486370/61705279*c_0101_5^4 + 636452837/61705279*c_0101_5^3 - 289840470/61705279*c_0101_5^2 + 77290072/61705279*c_0101_5 - 67471709/61705279, c_0101_0 + 51117574/61705279*c_0101_5^11 + 238136808/61705279*c_0101_5^10 - 100955598/61705279*c_0101_5^9 - 641409442/61705279*c_0101_5^8 + 842153650/61705279*c_0101_5^7 + 70991437/61705279*c_0101_5^6 - 164393833/61705279*c_0101_5^5 - 618552795/61705279*c_0101_5^4 + 666300258/61705279*c_0101_5^3 - 265392119/61705279*c_0101_5^2 + 65685892/61705279*c_0101_5 + 6035811/61705279, c_0101_1 - c_0101_5, c_0101_4 + 66688922/61705279*c_0101_5^11 + 289064326/61705279*c_0101_5^10 - 252452554/61705279*c_0101_5^9 - 895086834/61705279*c_0101_5^8 + 1381158230/61705279*c_0101_5^7 + 42975719/61705279*c_0101_5^6 - 452467148/61705279*c_0101_5^5 - 971295292/61705279*c_0101_5^4 + 1208887136/61705279*c_0101_5^3 - 281858103/61705279*c_0101_5^2 + 16200918/61705279*c_0101_5 - 75471522/61705279, c_0101_5^12 + 4*c_0101_5^11 - 5*c_0101_5^10 - 11*c_0101_5^9 + 25*c_0101_5^8 - 19/2*c_0101_5^7 - 9/2*c_0101_5^6 - 23/2*c_0101_5^5 + 23*c_0101_5^4 - 27/2*c_0101_5^3 + 7/2*c_0101_5^2 - 3/2*c_0101_5 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB