Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 1747580077] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0269 geometric_solution 4.31563348 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.935832081657 0.076401429776 0 0 1 1 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744742942799 0.099010274209 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.940855318811 0.138536789373 2 5 4 6 0132 0132 3012 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679487016598 0.385657603330 5 3 6 2 0213 1230 3012 0132 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 -1 1 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 0.679487016598 0.385657603330 4 3 6 6 0213 0132 0132 2310 0 0 0 0 0 0 -1 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 0 -1 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 1.096444007275 0.823629034065 5 4 3 5 3201 1230 0132 0132 0 0 0 0 0 0 -1 1 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 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.140248281427 1.197716269006 ==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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], '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_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0011_0']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_3']})} 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_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 62287166412099/10629122191421*c_0101_3^12 - 139241782478601/10629122191421*c_0101_3^11 - 229584858948274/10629122191421*c_0101_3^10 + 2032693604946/83693875523*c_0101_3^9 + 1499230017939180/10629122191421*c_0101_3^8 - 286042906229280/10629122191421*c_0101_3^7 - 4544178130794968/10629122191421*c_0101_3^6 - 31752851842137/10629122191421*c_0101_3^5 + 5498412772021486/10629122191421*c_0101_3^4 + 28752654362829/10629122191421*c_0101_3^3 - 2406721836398203/10629122191421*c_0101_3^2 - 93754890174268/559427483759*c_0101_3 + 1625204467975428/10629122191421, c_0011_0 - 1, c_0011_4 - 676518009/5767293647*c_0101_3^12 + 1209242421/5767293647*c_0101_3^11 + 3095721753/5767293647*c_0101_3^10 - 11595810/45411761*c_0101_3^9 - 17338398977/5767293647*c_0101_3^8 - 4489935658/5767293647*c_0101_3^7 + 48572812958/5767293647*c_0101_3^6 + 23259578513/5767293647*c_0101_3^5 - 53106764184/5767293647*c_0101_3^4 - 24717714678/5767293647*c_0101_3^3 + 17212653507/5767293647*c_0101_3^2 + 21650339977/5767293647*c_0101_3 - 8385236411/5767293647, c_0011_6 - 676518009/5767293647*c_0101_3^12 + 1209242421/5767293647*c_0101_3^11 + 3095721753/5767293647*c_0101_3^10 - 11595810/45411761*c_0101_3^9 - 17338398977/5767293647*c_0101_3^8 - 4489935658/5767293647*c_0101_3^7 + 48572812958/5767293647*c_0101_3^6 + 23259578513/5767293647*c_0101_3^5 - 53106764184/5767293647*c_0101_3^4 - 24717714678/5767293647*c_0101_3^3 + 17212653507/5767293647*c_0101_3^2 + 21650339977/5767293647*c_0101_3 - 8385236411/5767293647, c_0101_0 - 10980814/45411761*c_0101_3^12 + 25726576/45411761*c_0101_3^11 + 39009657/45411761*c_0101_3^10 - 51734457/45411761*c_0101_3^9 - 265356375/45411761*c_0101_3^8 + 79490569/45411761*c_0101_3^7 + 828684055/45411761*c_0101_3^6 - 62188239/45411761*c_0101_3^5 - 1058729757/45411761*c_0101_3^4 + 24941812/45411761*c_0101_3^3 + 498181322/45411761*c_0101_3^2 + 347529273/45411761*c_0101_3 - 321267952/45411761, c_0101_1 - 862468823/5767293647*c_0101_3^12 + 2183366234/5767293647*c_0101_3^11 + 2855878429/5767293647*c_0101_3^10 - 38849209/45411761*c_0101_3^9 - 20703026156/5767293647*c_0101_3^8 + 10380111642/5767293647*c_0101_3^7 + 67347764965/5767293647*c_0101_3^6 - 15947743419/5767293647*c_0101_3^5 - 89959734802/5767293647*c_0101_3^4 + 13927664459/5767293647*c_0101_3^3 + 42030051614/5767293647*c_0101_3^2 + 21822314862/5767293647*c_0101_3 - 28160130529/5767293647, c_0101_2 - 61958284/5767293647*c_0101_3^12 - 382186190/5767293647*c_0101_3^11 + 993021915/5767293647*c_0101_3^10 + 18228692/45411761*c_0101_3^9 - 1885475602/5767293647*c_0101_3^8 - 12316341612/5767293647*c_0101_3^7 - 2834018637/5767293647*c_0101_3^6 + 32817391641/5767293647*c_0101_3^5 + 18223320707/5767293647*c_0101_3^4 - 26061980831/5767293647*c_0101_3^3 - 14738293367/5767293647*c_0101_3^2 + 4646733451/5767293647*c_0101_3 + 6710328251/5767293647, c_0101_3^13 - 3*c_0101_3^12 - 2*c_0101_3^11 + 7*c_0101_3^10 + 21*c_0101_3^9 - 23*c_0101_3^8 - 70*c_0101_3^7 + 55*c_0101_3^6 + 90*c_0101_3^5 - 66*c_0101_3^4 - 40*c_0101_3^3 + 48*c_0101_3 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB