Magma V2.19-8 Tue Aug 20 2013 16:19:10 on localhost [Seed = 105356159] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3299 geometric_solution 6.42951643 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 -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 1 0 -1 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 0.353134323635 2.260240515638 0 5 3 6 0132 0132 1023 0132 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 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 0.276911681905 0.516235391714 4 0 2 2 1302 0132 1230 3012 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 -1 0 1 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 0.151804082707 0.535702531853 5 4 1 0 2310 3012 1023 0132 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 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 0.077942063499 0.904749509069 3 2 0 6 1230 2031 0132 1023 0 0 0 0 0 -1 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 0 0 -1 1 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 0.281100117503 0.744219529009 6 1 3 6 0321 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 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 1.040108108243 0.866366730195 5 5 1 4 0321 2310 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 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 0.473650692902 0.917885297862 ==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_1100_0']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_3, c_0011_4, c_0101_0, c_0101_3, c_0110_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 148057770583324835/686264571775168*c_1100_0^13 + 160492045311572973/343132285887584*c_1100_0^12 - 4503610788294303167/343132285887584*c_1100_0^11 + 37528610802482811667/686264571775168*c_1100_0^10 - 38081680813968706439/343132285887584*c_1100_0^9 + 21725959284167262789/171566142943792*c_1100_0^8 - 21340110348703772645/343132285887584*c_1100_0^7 - 31307598072878394505/686264571775168*c_1100_0^6 + 37543711971138033853/343132285887584*c_1100_0^5 - 31582052901221123155/343132285887584*c_1100_0^4 + 27457516248834489017/686264571775168*c_1100_0^3 - 2508765222149942073/343132285887584*c_1100_0^2 - 348203908108653599/686264571775168*c_1100_0 + 91191096778640325/343132285887584, c_0011_0 - 1, c_0011_3 + 1133709994870295/171566142943792*c_1100_0^13 + 1387018631556001/85783071471896*c_1100_0^12 - 34101231969786531/85783071471896*c_1100_0^11 + 268200326435978327/171566142943792*c_1100_0^10 - 254246119778552331/85783071471896*c_1100_0^9 + 132368459405667885/42891535735948*c_1100_0^8 - 99401818534692137/85783071471896*c_1100_0^7 - 266857731672532757/171566142943792*c_1100_0^6 + 241161327247824257/85783071471896*c_1100_0^5 - 178011108441807687/85783071471896*c_1100_0^4 + 136044189846334501/171566142943792*c_1100_0^3 - 10448564474756085/85783071471896*c_1100_0^2 - 1826640195334083/171566142943792*c_1100_0 + 435361455832129/85783071471896, c_0011_4 - 98164831326505/85783071471896*c_1100_0^13 - 91089951742659/42891535735948*c_1100_0^12 + 3040362477233417/42891535735948*c_1100_0^11 - 26583656294689313/85783071471896*c_1100_0^10 + 27961505800287261/42891535735948*c_1100_0^9 - 16666912874508185/21445767867974*c_1100_0^8 + 18761926797285515/42891535735948*c_1100_0^7 + 16965170655918123/85783071471896*c_1100_0^6 - 26821029005171527/42891535735948*c_1100_0^5 + 24936497457909525/42891535735948*c_1100_0^4 - 25362707015242459/85783071471896*c_1100_0^3 + 3411955148843875/42891535735948*c_1100_0^2 - 418678119456915/85783071471896*c_1100_0 - 111639748814647/42891535735948, c_0101_0 - 2027114614233745/85783071471896*c_1100_0^13 - 2213699380202351/42891535735948*c_1100_0^12 + 61656618516328657/42891535735948*c_1100_0^11 - 511560490963451233/85783071471896*c_1100_0^10 + 515552410392707305/42891535735948*c_1100_0^9 - 291194351211226401/21445767867974*c_1100_0^8 + 279111424419083431/42891535735948*c_1100_0^7 + 436090993012043563/85783071471896*c_1100_0^6 - 505150171414449743/42891535735948*c_1100_0^5 + 419031857244828837/42891535735948*c_1100_0^4 - 361277056169718955/85783071471896*c_1100_0^3 + 33485245206390987/42891535735948*c_1100_0^2 + 3532432850831917/85783071471896*c_1100_0 - 1156541827501887/42891535735948, c_0101_3 + 215655124702835/21445767867974*c_1100_0^13 + 195296313185113/10722883933987*c_1100_0^12 - 6668430744572018/10722883933987*c_1100_0^11 + 59204617996376855/21445767867974*c_1100_0^10 - 63720067290139799/10722883933987*c_1100_0^9 + 77565564273312290/10722883933987*c_1100_0^8 - 44089480473082881/10722883933987*c_1100_0^7 - 40692676082573241/21445767867974*c_1100_0^6 + 64247823858803252/10722883933987*c_1100_0^5 - 58864232057180214/10722883933987*c_1100_0^4 + 55465104667703181/21445767867974*c_1100_0^3 - 5798750205711603/10722883933987*c_1100_0^2 - 352855741167439/21445767867974*c_1100_0 + 200045932607092/10722883933987, c_0110_2 + 279408450070715/42891535735948*c_1100_0^13 + 282882265387087/21445767867974*c_1100_0^12 - 8580154322893571/21445767867974*c_1100_0^11 + 73018454115661887/42891535735948*c_1100_0^10 - 74740208529967529/21445767867974*c_1100_0^9 + 42419796146407801/10722883933987*c_1100_0^8 - 40170251734109005/21445767867974*c_1100_0^7 - 66322396058342125/42891535735948*c_1100_0^6 + 74907611212057985/21445767867974*c_1100_0^5 - 60564872730015635/21445767867974*c_1100_0^4 + 49005472535240569/42891535735948*c_1100_0^3 - 3623679219237831/21445767867974*c_1100_0^2 - 1006675632091743/42891535735948*c_1100_0 + 138540205528825/21445767867974, c_1100_0^14 + 8/5*c_1100_0^13 - 62*c_1100_0^12 + 1441/5*c_1100_0^11 - 3312/5*c_1100_0^10 + 4472/5*c_1100_0^9 - 3246/5*c_1100_0^8 - 107/5*c_1100_0^7 + 3104/5*c_1100_0^6 - 3662/5*c_1100_0^5 + 2267/5*c_1100_0^4 - 776/5*c_1100_0^3 + 107/5*c_1100_0^2 + 12/5*c_1100_0 - 4/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB