Magma V2.19-8 Tue Aug 20 2013 16:15:54 on localhost [Seed = 3600239343] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0131 geometric_solution 3.63938669 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.893898541543 0.153740604735 0 0 3 3 0132 2310 3201 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330833851108 0.091407764004 2 0 0 2 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.445935881693 0.064620888669 1 4 1 5 2310 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 0 1 -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 0.487559377945 0.373951243300 6 3 6 5 0132 0132 3120 1230 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 2 0 -1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.004835681431 1.976109350689 4 6 3 6 3012 1302 0132 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 -1 1 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 0.004835681431 1.976109350689 4 5 4 5 0132 2310 3120 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 -1 1 -2 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 0.004835681431 1.976109350689 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_0101_4']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0101_4'], 'c_1001_4' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 900815623297/29624582512*c_0101_2*c_0101_4^10 - 27395276796595/59249165024*c_0101_2*c_0101_4^9 - 108470820628843/118498330048*c_0101_2*c_0101_4^8 - 139446242932597/29624582512*c_0101_2*c_0101_4^7 + 78283137142139/29624582512*c_0101_2*c_0101_4^6 - 4765676570409/502111568*c_0101_2*c_0101_4^5 - 1369972759851/59249165024*c_0101_2*c_0101_4^4 - 73894495148295/29624582512*c_0101_2*c_0101_4^3 + 156517715845/510768664*c_0101_2*c_0101_4^2 - 84711930954207/59249165024*c_0101_2*c_0101_4 - 3143805616895/118498330048*c_0101_2, c_0011_0 - 1, c_0011_3 + 146486/9120869*c_0101_4^10 + 17760597/72966952*c_0101_4^9 + 70989007/145933904*c_0101_4^8 + 98245177/36483476*c_0101_4^7 - 19640405/18241738*c_0101_4^6 + 2282799/309182*c_0101_4^5 - 127290999/72966952*c_0101_4^4 + 214252915/36483476*c_0101_4^3 - 4701953/18241738*c_0101_4^2 + 44679063/72966952*c_0101_4 - 52077041/145933904, c_0011_5 + 16802913/291867808*c_0101_2*c_0101_4^10 + 31824667/36483476*c_0101_2*c_0101_4^9 + 489590323/291867808*c_0101_2*c_0101_4^8 + 633542527/72966952*c_0101_2*c_0101_4^7 - 853473117/145933904*c_0101_2*c_0101_4^6 + 20568883/1236728*c_0101_2*c_0101_4^5 - 182932655/145933904*c_0101_2*c_0101_4^4 + 162451881/72966952*c_0101_2*c_0101_4^3 - 119057079/291867808*c_0101_2*c_0101_4^2 + 105776145/72966952*c_0101_2*c_0101_4 - 42747429/291867808*c_0101_2, c_0101_0 - 2246509/145933904*c_0101_4^10 - 35160247/145933904*c_0101_4^9 - 85370623/145933904*c_0101_4^8 - 104128055/36483476*c_0101_4^7 - 18287461/72966952*c_0101_4^6 - 8406257/1236728*c_0101_4^5 - 30779003/72966952*c_0101_4^4 - 186575669/36483476*c_0101_4^3 - 44518761/145933904*c_0101_4^2 - 22546243/145933904*c_0101_4 + 100577701/145933904, c_0101_1 + 2246509/145933904*c_0101_2*c_0101_4^10 + 35160247/145933904*c_0101_2*c_0101_4^9 + 85370623/145933904*c_0101_2*c_0101_4^8 + 104128055/36483476*c_0101_2*c_0101_4^7 + 18287461/72966952*c_0101_2*c_0101_4^6 + 8406257/1236728*c_0101_2*c_0101_4^5 + 30779003/72966952*c_0101_2*c_0101_4^4 + 186575669/36483476*c_0101_2*c_0101_4^3 + 44518761/145933904*c_0101_2*c_0101_4^2 + 22546243/145933904*c_0101_2*c_0101_4 + 45356203/145933904*c_0101_2, c_0101_2^2 + 2246509/145933904*c_0101_4^10 + 35160247/145933904*c_0101_4^9 + 85370623/145933904*c_0101_4^8 + 104128055/36483476*c_0101_4^7 + 18287461/72966952*c_0101_4^6 + 8406257/1236728*c_0101_4^5 + 30779003/72966952*c_0101_4^4 + 186575669/36483476*c_0101_4^3 + 44518761/145933904*c_0101_4^2 + 22546243/145933904*c_0101_4 - 246511605/145933904, c_0101_4^11 + 15*c_0101_4^10 + 27*c_0101_4^9 + 149*c_0101_4^8 - 118*c_0101_4^7 + 334*c_0101_4^6 - 66*c_0101_4^5 + 90*c_0101_4^4 - 27*c_0101_4^3 + 51*c_0101_4^2 - 9*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB