Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 4021187552] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s512 geometric_solution 4.90436820 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 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.664439669929 0.783212064321 3 4 4 0 0132 0132 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 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 0.768899980424 0.539173040521 4 3 0 4 2310 3201 0132 1023 0 0 0 0 0 -1 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768899980424 0.539173040521 1 5 2 5 0132 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816724282623 0.505220571222 1 1 2 2 2310 0132 3201 1023 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 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 1.128147043027 0.611366395716 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584470173527 0.153690492391 ==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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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' : 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' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], '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' : negation(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_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(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: 16 Groebner basis: [ t + 3680067311/63566640960*c_0110_5^15 - 463400805521/190699922880*c_0110_5^13 + 1027552799737/95349961440*c_0110_5^11 + 391978198591/95349961440*c_0110_5^9 + 2533883718263/95349961440*c_0110_5^7 - 965033233619/47674980720*c_0110_5^5 - 193720773331/63566640960*c_0110_5^3 + 345022769899/190699922880*c_0110_5, c_0011_0 - 1, c_0011_1 - 27997067/1059444016*c_0110_5^14 + 644647007/595937259*c_0110_5^12 - 18064545547/4767498072*c_0110_5^1\ 0 - 3595598465/595937259*c_0110_5^8 - 84709473905/4767498072*c_0110_5^6 - 35971188659/4767498072*c_0110_5^4 - 2152601455/1059444016*c_0110_5^2 + 298834129/1191874518, c_0101_0 - 245217907/9534996144*c_0110_5^15 + 834132845/794583012*c_0110_5^13 - 16955481125/4767498072*c_0110_5^1\ 1 - 5325983497/794583012*c_0110_5^9 - 78582413455/4767498072*c_0110_5^7 - 34317844589/4767498072*c_0110_5^5 + 32866541453/9534996144*c_0110_5^3 + 1583460979/1191874518*c_0110_5, c_0101_1 - 126783037/9534996144*c_0110_5^14 + 1269257989/2383749036*c_0110_5^12 - 6768285859/4767498072*c_0110_5^10 - 11549948749/2383749036*c_0110_5^8 - 54175191041/4767498072*c_0110_5^6 - 5502389443/529722008*c_0110_5^4 - 22887794941/9534996144*c_0110_5^2 + 68282983/132430502, c_0101_4 - 193658743/3178332048*c_0110_5^15 + 1970713045/794583012*c_0110_5^13 - 12960398377/1589166024*c_0110_5^11 - 12938634559/794583012*c_0110_5^9 - 67985183459/1589166024*c_0110_5^7 - 13177706915/529722008*c_0110_5^5 - 11971943815/3178332048*c_0110_5^3 + 16776771/66215251*c_0110_5, c_0110_5^16 - 41*c_0110_5^14 + 146*c_0110_5^12 + 222*c_0110_5^10 + 646*c_0110_5^8 + 220*c_0110_5^6 + 27*c_0110_5^4 - 13*c_0110_5^2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB