Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 610646294] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2761 geometric_solution 5.99703449 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 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 1 0 -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 -0.109124685635 0.557234613237 0 5 6 4 0132 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167521701350 0.770044261762 4 0 5 3 3012 0132 1230 1230 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 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 0.502492409983 1.233793358904 2 3 3 0 3012 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.638186205582 1.111713347521 5 1 0 2 0321 0321 0132 1230 0 0 0 0 0 -1 0 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 0 1 -1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.352654833806 0.598795706045 4 1 6 2 0321 0132 2310 3012 0 0 0 0 0 1 0 -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 0 0 0 1 0 0 -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 0.167521701350 0.770044261762 6 5 6 1 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635363910542 0.732504329735 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(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_6']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_6'])})} 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_4, c_0011_6, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 960534505/85527012*c_0101_3^8 + 3691472785/57018008*c_0101_3^7 - 10949097737/171054024*c_0101_3^6 - 19432422707/171054024*c_0101_3^5 + 4792364371/57018008*c_0101_3^4 + 3251101921/42763506*c_0101_3^3 - 3211255709/85527012*c_0101_3^2 - 1655882659/21381753*c_0101_3 - 182660200/21381753, c_0011_0 - 1, c_0011_3 + 3559521/14254502*c_0101_2*c_0101_3^8 - 9812133/7127251*c_0101_2*c_0101_3^7 + 7842515/7127251*c_0101_2*c_0101_3^6 + 17278167/7127251*c_0101_2*c_0101_3^5 + 2658567/14254502*c_0101_2*c_0101_3^4 - 19634341/7127251*c_0101_2*c_0101_3^3 - 9665013/7127251*c_0101_2*c_0101_3^2 + 18489840/7127251*c_0101_2*c_0101_3 + 14028874/7127251*c_0101_2, c_0011_4 - 8142533/28509004*c_0101_2*c_0101_3^8 + 9908728/7127251*c_0101_2*c_0101_3^7 - 6910653/28509004*c_0101_2*c_0101_3^6 - 28423709/7127251*c_0101_2*c_0101_3^5 - 3329305/7127251*c_0101_2*c_0101_3^4 + 46558667/14254502*c_0101_2*c_0101_3^3 + 11493540/7127251*c_0101_2*c_0101_3^2 - 27720721/7127251*c_0101_2*c_0101_3 - 12734997/7127251*c_0101_2, c_0011_6 + 10676449/28509004*c_0101_3^8 - 30471943/14254502*c_0101_3^7 + 56540969/28509004*c_0101_3^6 + 29689982/7127251*c_0101_3^5 - 22433969/7127251*c_0101_3^4 - 17610849/7127251*c_0101_3^3 + 5678947/7127251*c_0101_3^2 + 15897598/7127251*c_0101_3 + 4642626/7127251, c_0101_1 - 1038513/7127251*c_0101_2*c_0101_3^8 + 3841441/7127251*c_0101_2*c_0101_3^7 + 14423761/14254502*c_0101_2*c_0101_3^6 - 28396099/7127251*c_0101_2*c_0101_3^5 - 4760878/7127251*c_0101_2*c_0101_3^4 + 62095977/14254502*c_0101_2*c_0101_3^3 + 573033/7127251*c_0101_2*c_0101_3^2 - 17537789/7127251*c_0101_2*c_0101_3 - 7966114/7127251*c_0101_2, c_0101_2^2 + 1369319/7127251*c_0101_3^8 - 17992829/14254502*c_0101_3^7 + 28569365/14254502*c_0101_3^6 + 14264751/14254502*c_0101_3^5 - 23156674/7127251*c_0101_3^4 + 7330237/14254502*c_0101_3^3 + 12244789/7127251*c_0101_3^2 + 7490593/7127251*c_0101_3 - 2937550/7127251, c_0101_3^9 - 37/7*c_0101_3^8 + 19/7*c_0101_3^7 + 99/7*c_0101_3^6 - 4*c_0101_3^5 - 86/7*c_0101_3^4 + 10/7*c_0101_3^3 + 68/7*c_0101_3^2 + 24/7*c_0101_3 - 4/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB