Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 3204391518] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0647 geometric_solution 4.63361527 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 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 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 -0.669128066490 0.115756946672 0 0 2 2 0132 3201 2310 0132 0 0 0 0 0 1 -1 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 1 -2 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 2.042546390841 0.728510319381 3 1 1 3 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.091289657966 0.533889190753 2 4 5 2 0132 0132 0132 1023 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 1 -1 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390075534871 0.244931699476 5 3 5 6 2031 0132 2103 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 -1 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651129343670 0.719542736014 4 6 4 3 2103 2310 1302 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 0 0 1 0 0 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651129343670 0.719542736014 6 6 4 5 1230 3012 0132 3201 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 -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 1.308567888302 0.764080068355 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : negation(d['1']), 's_0_6' : 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_0011_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 50*c_0101_1^2 - 15, c_0011_0 - 1, c_0011_2 - 5*c_0101_1^2 + 3, c_0011_5 + 5*c_0101_1^3 - 4*c_0101_1, c_0011_6 - c_0101_1, c_0101_0 - 5*c_0101_1^3 + 4*c_0101_1, c_0101_1^4 - c_0101_1^2 + 1/5, c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 559/4*c_0101_6^2 + 2289/2*c_0101_6 - 5899/4, c_0011_0 - 1, c_0011_2 + 1/4*c_0101_6^2 - 5/4*c_0101_6 - 1/2, c_0011_5 - 1/4*c_0101_1*c_0101_6^2 + 1/4*c_0101_1*c_0101_6 + 1/2*c_0101_1, c_0011_6 + 1/2*c_0101_1*c_0101_6^2 - 1/2*c_0101_1*c_0101_6, c_0101_0 + 1/4*c_0101_1*c_0101_6^2 - 5/4*c_0101_1*c_0101_6 + 1/2*c_0101_1, c_0101_1^2 + 3/4*c_0101_6^2 - 19/4*c_0101_6 - 3/2, c_0101_6^3 - 8*c_0101_6^2 + 9*c_0101_6 + 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1509483879/228821228*c_0101_6^9 - 5207983435/114410614*c_0101_6^8 - 25806215015/114410614*c_0101_6^7 - 105243432411/228821228*c_0101_6^6 - 38003544029/57205307*c_0101_6^5 - 228662446361/228821228*c_0101_6^4 - 147103011045/228821228*c_0101_6^3 + 49135758089/228821228*c_0101_6^2 + 58996710839/228821228*c_0101_6 + 1911903027/114410614, c_0011_0 - 1, c_0011_2 - 7874228/286026535*c_0101_6^9 - 77073973/572053070*c_0101_6^8 - 362449243/572053070*c_0101_6^7 - 244142107/572053070*c_0101_6^6 - 233861197/286026535*c_0101_6^5 - 44964571/57205307*c_0101_6^4 + 1105409689/572053070*c_0101_6^3 + 286677986/286026535*c_0101_6^2 + 87665509/114410614*c_0101_6 - 40568794/286026535, c_0011_5 + 134580657/1144106140*c_0101_1*c_0101_6^9 + 820963761/1144106140*c_0101_1*c_0101_6^8 + 3985391961/1144106140*c_0101_1*c_0101_6^7 + 1617423991/286026535*c_0101_1*c_0101_6^6 + 2439925522/286026535*c_0101_1*c_0101_6^5 + 3073043735/228821228*c_0101_1*c_0101_6^4 + 1285753533/286026535*c_0101_1*c_0101_6^3 - 2558410479/1144106140*c_0101_1*c_0101_6^2 + 59498863/114410614*c_0101_1*c_0101_6 - 172156606/286026535*c_0101_1, c_0011_6 + 8278935/228821228*c_0101_1*c_0101_6^9 + 44902319/228821228*c_0101_1*c_0101_6^8 + 213890039/228821228*c_0101_1*c_0101_6^7 + 61778878/57205307*c_0101_1*c_0101_6^6 + 102496191/57205307*c_0101_1*c_0101_6^5 + 647110505/228821228*c_0101_1*c_0101_6^4 - 2398177/57205307*c_0101_1*c_0101_6^3 - 72440113/228821228*c_0101_1*c_0101_6^2 + 89476609/114410614*c_0101_1*c_0101_6 - 15908086/57205307*c_0101_1, c_0101_0 - 7874228/286026535*c_0101_1*c_0101_6^9 - 77073973/572053070*c_0101_1*c_0101_6^8 - 362449243/572053070*c_0101_1*c_0101_6^7 - 244142107/572053070*c_0101_1*c_0101_6^6 - 233861197/286026535*c_0101_1*c_0101_6^5 - 44964571/57205307*c_0101_1*c_0101_6^4 + 1105409689/572053070*c_0101_1*c_0101_6^3 + 286677986/286026535*c_0101_1*c_0101_6^2 + 87665509/114410614*c_0101_1*c_0101_6 + 245457741/286026535*c_0101_1, c_0101_1^2 - 515205221/1144106140*c_0101_6^9 - 606087447/228821228*c_0101_6^8 - 14637303091/1144106140*c_0101_6^7 - 10859588103/572053070*c_0101_6^6 - 8304188893/286026535*c_0101_6^5 - 50625124731/1144106140*c_0101_6^4 - 3883806231/572053070*c_0101_6^3 + 10995452319/1144106140*c_0101_6^2 + 612710079/286026535*c_0101_6 + 754670687/286026535, c_0101_6^10 + 7*c_0101_6^9 + 35*c_0101_6^8 + 74*c_0101_6^7 + 112*c_0101_6^6 + 171*c_0101_6^5 + 126*c_0101_6^4 - 3*c_0101_6^3 - 28*c_0101_6^2 - 12*c_0101_6 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB