Magma V2.19-8 Tue Aug 20 2013 16:18:19 on localhost [Seed = 2412647078] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2528 geometric_solution 5.84272875 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421909335493 0.635478907211 3 3 4 0 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.705521989691 2.026693795283 5 6 0 4 0132 0132 0132 1302 0 0 0 0 0 -1 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 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 -0.162943072374 1.073458955006 1 5 1 5 0132 1302 2310 2031 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 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 -0.384672565501 0.675924368798 6 6 2 1 2310 0321 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -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 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 0.447448699304 0.236161955055 2 3 6 3 0132 1302 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164016757539 0.992932198954 5 2 4 4 2310 0132 3201 0321 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383657257173 1.347637315273 ==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_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_2']), '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_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1262029881727/317614599211*c_0101_4^13 + 131964155639/317614599211*c_0101_4^12 + 1084085233206/45373514173*c_0101_4^11 + 7295715137370/317614599211*c_0101_4^10 + 5634610615180/317614599211*c_0101_4^9 - 2422834709402/45373514173*c_0101_4^8 + 23109073913808/317614599211*c_0101_4^7 + 5377407431806/45373514173*c_0101_4^6 + 5101117627366/45373514173*c_0101_4^5 + 48786537457642/317614599211*c_0101_4^4 + 36048375371838/317614599211*c_0101_4^3 + 8054425987025/317614599211*c_0101_4^2 + 2055143472194/45373514173*c_0101_4 + 1391772654483/317614599211, c_0011_0 - 1, c_0011_1 - 12848031895/45373514173*c_0101_4^13 + 3648630525/45373514173*c_0101_4^12 - 75939101910/45373514173*c_0101_4^11 - 42620151619/45373514173*c_0101_4^10 - 25761186739/45373514173*c_0101_4^9 + 210799437730/45373514173*c_0101_4^8 - 306353993336/45373514173*c_0101_4^7 - 293243478822/45373514173*c_0101_4^6 - 239824076197/45373514173*c_0101_4^5 - 268253398978/45373514173*c_0101_4^4 - 183643093518/45373514173*c_0101_4^3 + 175274623494/45373514173*c_0101_4^2 - 108939865363/45373514173*c_0101_4 + 18540865842/45373514173, c_0011_2 - 7091704169/45373514173*c_0101_4^13 + 797738599/45373514173*c_0101_4^12 - 44855428385/45373514173*c_0101_4^11 - 32136535215/45373514173*c_0101_4^10 - 38052702161/45373514173*c_0101_4^9 + 90153651426/45373514173*c_0101_4^8 - 168658506981/45373514173*c_0101_4^7 - 140157628791/45373514173*c_0101_4^6 - 193291097115/45373514173*c_0101_4^5 - 273324890766/45373514173*c_0101_4^4 - 284291688294/45373514173*c_0101_4^3 - 78335528114/45373514173*c_0101_4^2 - 124614737233/45373514173*c_0101_4 + 21765132222/45373514173, c_0011_4 - 3816448098/45373514173*c_0101_4^13 - 355206836/45373514173*c_0101_4^12 - 21432104657/45373514173*c_0101_4^11 - 18393773473/45373514173*c_0101_4^10 - 9053554366/45373514173*c_0101_4^9 + 78846875277/45373514173*c_0101_4^8 - 56509667363/45373514173*c_0101_4^7 - 130343293297/45373514173*c_0101_4^6 - 141707524346/45373514173*c_0101_4^5 - 15867009844/45373514173*c_0101_4^4 + 28624933474/45373514173*c_0101_4^3 + 57562328345/45373514173*c_0101_4^2 + 5942228450/45373514173*c_0101_4 + 22059910851/45373514173, c_0101_1 - 12339772350/45373514173*c_0101_4^13 - 2990540522/45373514173*c_0101_4^12 - 74260911191/45373514173*c_0101_4^11 - 76977162868/45373514173*c_0101_4^10 - 65985325179/45373514173*c_0101_4^9 + 186270649155/45373514173*c_0101_4^8 - 191247835087/45373514173*c_0101_4^7 - 392074368402/45373514173*c_0101_4^6 - 477458696040/45373514173*c_0101_4^5 - 410052910405/45373514173*c_0101_4^4 - 317054313417/45373514173*c_0101_4^3 - 15351444889/45373514173*c_0101_4^2 - 83076042414/45373514173*c_0101_4 + 9401200430/45373514173, c_0101_2 - 749122/2270833*c_0101_4^13 + 151079/2270833*c_0101_4^12 - 4361585/2270833*c_0101_4^11 - 2839243/2270833*c_0101_4^10 - 1591170/2270833*c_0101_4^9 + 12501805/2270833*c_0101_4^8 - 17586036/2270833*c_0101_4^7 - 19966483/2270833*c_0101_4^6 - 14716136/2270833*c_0101_4^5 - 12349978/2270833*c_0101_4^4 - 13682948/2270833*c_0101_4^3 + 4695982/2270833*c_0101_4^2 - 6580591/2270833*c_0101_4 - 282641/2270833, c_0101_4^14 + 6*c_0101_4^12 + 5*c_0101_4^11 + 4*c_0101_4^10 - 15*c_0101_4^9 + 20*c_0101_4^8 + 27*c_0101_4^7 + 28*c_0101_4^6 + 30*c_0101_4^5 + 26*c_0101_4^4 - 2*c_0101_4^3 + 9*c_0101_4^2 - c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB