Magma V2.19-8 Tue Aug 20 2013 16:17:51 on localhost [Seed = 3600239157] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2092 geometric_solution 5.60031881 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 2.097078956105 0.543538336755 0 2 3 0 3201 0132 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 -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 0.064198152339 0.833553444225 4 1 5 5 0132 0132 0132 1230 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 1 0 -1 0 0 1 -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 0.366075798906 0.277374987872 5 4 4 1 1023 0213 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 0.040566466354 0.811659525276 2 3 3 6 0132 3201 0213 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 1.137645422459 1.355197862031 2 3 6 2 3012 1023 0213 0132 0 0 0 0 0 0 1 -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 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 0.592128298744 0.941913456307 6 5 4 6 3201 0213 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259507523911 0.518816674395 ==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_6'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], '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_3, c_0011_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 72222327011/8981993152*c_0101_3^13 + 1126604174893/17963986304*c_0101_3^11 - 1562527895389/35927972608*c_0101_3^9 - 1235435397273/1633089664*c_0101_3^7 + 7575553721793/4490996576*c_0101_3^5 - 6052981124793/4490996576*c_0101_3^3 + 4243622441527/17963986304*c_0101_3, c_0011_0 - 1, c_0011_1 - 6777218/140343643*c_0101_3^12 - 59148599/140343643*c_0101_3^10 - 35569233/280687286*c_0101_3^8 + 56444303/12758513*c_0101_3^6 - 869809843/140343643*c_0101_3^4 + 278092484/140343643*c_0101_3^2 + 91286872/140343643, c_0011_3 - 31239741/280687286*c_0101_3^13 - 481966787/561374572*c_0101_3^11 + 753497651/1122749144*c_0101_3^9 + 530621859/51034052*c_0101_3^7 - 3376144872/140343643*c_0101_3^5 + 3017759073/140343643*c_0101_3^3 - 2965614397/561374572*c_0101_3, c_0011_6 + 16997850/140343643*c_0101_3^12 + 132992151/140343643*c_0101_3^10 - 171810535/280687286*c_0101_3^8 - 142615280/12758513*c_0101_3^6 + 3605616186/140343643*c_0101_3^4 - 2871516168/140343643*c_0101_3^2 + 517976175/140343643, c_0101_0 + 12101730/140343643*c_0101_3^12 + 94146631/140343643*c_0101_3^10 - 143479871/280687286*c_0101_3^8 - 107683819/12758513*c_0101_3^6 + 2467424057/140343643*c_0101_3^4 - 1775569291/140343643*c_0101_3^2 + 306074599/140343643, c_0101_2 - 64254457/280687286*c_0101_3^13 - 985114903/561374572*c_0101_3^11 + 1711903911/1122749144*c_0101_3^9 + 1113197523/51034052*c_0101_3^7 - 7082645707/140343643*c_0101_3^5 + 5791648341/140343643*c_0101_3^3 - 4098042521/561374572*c_0101_3, c_0101_3^14 + 15/2*c_0101_3^12 - 31/4*c_0101_3^10 - 185/2*c_0101_3^8 + 238*c_0101_3^6 - 230*c_0101_3^4 + 157/2*c_0101_3^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB