Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 3920131558] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s561 geometric_solution 5.00189068 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 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 0 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034109172655 0.973054482001 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899240896313 0.793773488862 4 3 0 1 2310 3201 0132 3012 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 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 0.899240896313 0.793773488862 1 5 2 5 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 0 0 0 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797077244934 0.423284663522 4 1 2 4 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 0.539747847983 0.835015856557 5 3 5 3 2031 0132 1302 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 0 1 -1 -1 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 0.600910216516 0.138845697075 ==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_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_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_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0011_1']), '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' : negation(d['c_0011_1']), '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_0110_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], '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' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 40088680290317455/37949172753771216*c_0110_5^12 + 41079617729270579/37949172753771216*c_0110_5^11 + 360400891623609637/9487293188442804*c_0110_5^10 - 1354899220662745987/37949172753771216*c_0110_5^9 - 529089228250691179/2710655196697944*c_0110_5^8 - 283535249001748323/4216574750419024*c_0110_5^7 + 7316986909266282877/18974586376885608*c_0110_5^6 + 11978254212399256865/18974586376885608*c_0110_5^5 - 399250692908820143/9487293188442804*c_0110_5^4 - 407924905287147859/6324862125628536*c_0110_5^3 - 91283475320544331/4743646594221402*c_0110_5^2 + 84066981039566621/37949172753771216*c_0110_5 + 140881728954103031/18974586376885608, c_0011_0 - 1, c_0011_1 - 44769316159933/527071843802378*c_0110_5^12 + 51126386096887/527071843802378*c_0110_5^11 + 797930603713762/263535921901189*c_0110_5^10 - 1701431956147023/527071843802378*c_0110_5^9 - 556010251564164/37647988843027*c_0110_5^8 - 1889364956752415/527071843802378*c_0110_5^7 + 7561338052007356/263535921901189*c_0110_5^6 + 11680864626874220/263535921901189*c_0110_5^5 - 1532184679220666/263535921901189*c_0110_5^4 + 1310507404411925/263535921901189*c_0110_5^3 + 352700330382655/263535921901189*c_0110_5^2 - 991920487037121/527071843802378*c_0110_5 + 239881950317752/263535921901189, c_0101_0 + 14199349130241/263535921901189*c_0110_5^12 - 20957476970247/263535921901189*c_0110_5^11 - 507269779652591/263535921901189*c_0110_5^10 + 698786038505258/263535921901189*c_0110_5^9 + 357860876032844/37647988843027*c_0110_5^8 + 102241854044859/263535921901189*c_0110_5^7 - 5596431691323470/263535921901189*c_0110_5^6 - 7720485960260392/263535921901189*c_0110_5^5 + 1770603999825494/263535921901189*c_0110_5^4 - 413767436669072/263535921901189*c_0110_5^3 + 997756592514621/263535921901189*c_0110_5^2 + 437070356183744/263535921901189*c_0110_5 - 152536125278436/263535921901189, c_0101_1 - 41589710419485/527071843802378*c_0110_5^12 + 34125779031279/527071843802378*c_0110_5^11 + 747775309256385/263535921901189*c_0110_5^10 - 1111124958803329/527071843802378*c_0110_5^9 - 547948002200076/37647988843027*c_0110_5^8 - 3848016355705831/527071843802378*c_0110_5^7 + 6735374281250255/263535921901189*c_0110_5^6 + 12675691006502255/263535921901189*c_0110_5^5 + 1332801324530108/263535921901189*c_0110_5^4 + 111115257444096/263535921901189*c_0110_5^3 + 443865017517262/263535921901189*c_0110_5^2 - 802444579572705/527071843802378*c_0110_5 + 189751878605300/263535921901189, c_0101_4 + 6988599766455/263535921901189*c_0110_5^12 - 14495981410369/263535921901189*c_0110_5^11 - 245422474750542/263535921901189*c_0110_5^10 + 498004097480426/263535921901189*c_0110_5^9 + 156844233005858/37647988843027*c_0110_5^8 - 842898460534048/263535921901189*c_0110_5^7 - 3188496683495583/263535921901189*c_0110_5^6 - 2022364972493234/263535921901189*c_0110_5^5 + 4378186125802828/263535921901189*c_0110_5^4 + 664443404684197/263535921901189*c_0110_5^3 + 318115671814156/263535921901189*c_0110_5^2 + 31271451312152/263535921901189*c_0110_5 - 213089636752221/263535921901189, c_0110_5^13 - c_0110_5^12 - 36*c_0110_5^11 + 33*c_0110_5^10 + 186*c_0110_5^9 + 65*c_0110_5^8 - 362*c_0110_5^7 - 594*c_0110_5^6 + 28*c_0110_5^5 + 38*c_0110_5^4 - 16*c_0110_5^3 + 21*c_0110_5^2 - 6*c_0110_5 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB