Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 3852761950] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m277 geometric_solution 4.32771057 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 2103 0132 0132 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 0 1 -1 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780991128241 1.166081930939 0 0 2 3 0132 2103 3201 2310 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 1 0 -1 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 0.780991128241 1.166081930939 1 2 2 0 2310 3201 2310 0132 0 0 0 0 0 0 1 -1 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 1 -1 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 0.258687897621 1.058307003902 1 4 0 4 3201 0132 0132 2310 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 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 0.732547722294 0.539469422485 3 3 4 4 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.477952281683 0.196592650466 ==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_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_2'], '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_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 218933/27858*c_0110_4^11 - 71629/27858*c_0110_4^10 + 1968103/27858*c_0110_4^9 - 39099/4643*c_0110_4^8 - 7279717/27858*c_0110_4^7 + 4752701/27858*c_0110_4^6 + 9880288/13929*c_0110_4^5 - 3632909/27858*c_0110_4^4 - 8202165/9286*c_0110_4^3 - 3744911/9286*c_0110_4^2 + 1718635/27858*c_0110_4 + 714326/13929, c_0011_0 - 1, c_0011_2 + 50/4643*c_0110_4^11 + 348/4643*c_0110_4^10 - 628/4643*c_0110_4^9 - 3428/4643*c_0110_4^8 + 6342/4643*c_0110_4^7 + 8925/4643*c_0110_4^6 - 30099/4643*c_0110_4^5 - 6440/4643*c_0110_4^4 + 42823/4643*c_0110_4^3 - 654/4643*c_0110_4^2 - 1316/4643*c_0110_4 + 2341/4643, c_0101_0 - 5410/4643*c_0110_4^11 + 5062/4643*c_0110_4^10 + 43806/4643*c_0110_4^9 - 61818/4643*c_0110_4^8 - 116044/4643*c_0110_4^7 + 278639/4643*c_0110_4^6 + 180260/4643*c_0110_4^5 - 398940/4643*c_0110_4^4 - 179883/4643*c_0110_4^3 + 67977/4643*c_0110_4^2 + 19816/4643*c_0110_4 - 717/4643, c_0101_4 - 7979/4643*c_0110_4^11 + 4268/4643*c_0110_4^10 + 69201/4643*c_0110_4^9 - 68993/4643*c_0110_4^8 - 215689/4643*c_0110_4^7 + 370268/4643*c_0110_4^6 + 429771/4643*c_0110_4^5 - 557425/4643*c_0110_4^4 - 471020/4643*c_0110_4^3 + 75393/4643*c_0110_4^2 + 66260/4643*c_0110_4 - 9287/4643, c_0110_4^12 - 9*c_0110_4^10 + 4*c_0110_4^9 + 32*c_0110_4^8 - 32*c_0110_4^7 - 80*c_0110_4^6 + 42*c_0110_4^5 + 100*c_0110_4^4 + 21*c_0110_4^3 - 17*c_0110_4^2 - 4*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB