Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 3002281582] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1169 geometric_solution 5.04397682 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.191609153469 1.114945308336 3 2 4 0 0132 3012 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.094385684958 1.291349472783 1 3 0 4 1230 2310 0132 2310 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 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 1.094385684958 1.291349472783 1 3 3 2 0132 1230 3012 3201 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998486889352 0.555429737240 2 5 5 1 3201 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 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 0.144393705592 0.210803231966 4 4 6 6 2310 0132 2310 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 -1 0 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 1.683231280814 4.415356503004 6 5 5 6 3012 3201 0132 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 1 0 -1 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 -0.094198544247 0.166395628546 ==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' : 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' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : 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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_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' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4499768009/67810718647*c_0101_5^8 + 18024073194/67810718647*c_0101_5^7 - 18810832727/67810718647*c_0101_5^6 - 38724817114/67810718647*c_0101_5^5 - 10328379333/67810718647*c_0101_5^4 - 17557838195/67810718647*c_0101_5^3 - 47712248379/67810718647*c_0101_5^2 + 5592388752/2338300643*c_0101_5 + 22840235073/67810718647, c_0011_0 - 1, c_0011_1 + 405575/10775579*c_0101_5^8 - 2058782/10775579*c_0101_5^7 + 3457217/10775579*c_0101_5^6 + 1519261/10775579*c_0101_5^5 - 2911434/10775579*c_0101_5^4 + 2025207/10775579*c_0101_5^3 + 224181/10775579*c_0101_5^2 - 19140802/10775579*c_0101_5 + 8047055/10775579, c_0011_4 - 93934/10775579*c_0101_5^8 + 633663/10775579*c_0101_5^7 - 890863/10775579*c_0101_5^6 - 1368627/10775579*c_0101_5^5 + 2543705/10775579*c_0101_5^4 + 6511116/10775579*c_0101_5^3 + 1817209/10775579*c_0101_5^2 + 12849639/10775579*c_0101_5 - 8358327/10775579, c_0011_6 + 974143/10775579*c_0101_5^8 - 4166648/10775579*c_0101_5^7 + 4745911/10775579*c_0101_5^6 + 8842272/10775579*c_0101_5^5 - 647582/10775579*c_0101_5^4 - 2839113/10775579*c_0101_5^3 + 5005921/10775579*c_0101_5^2 - 26447732/10775579*c_0101_5 + 8877692/10775579, c_0101_0 - 484715/10775579*c_0101_5^8 + 1724030/10775579*c_0101_5^7 - 1311696/10775579*c_0101_5^6 - 4481613/10775579*c_0101_5^5 - 4013878/10775579*c_0101_5^4 - 1433494/10775579*c_0101_5^3 - 8413607/10775579*c_0101_5^2 + 9191705/10775579*c_0101_5 + 4838721/10775579, c_0101_1 - 1023144/10775579*c_0101_5^8 + 4358052/10775579*c_0101_5^7 - 5712967/10775579*c_0101_5^6 - 6288353/10775579*c_0101_5^5 - 1054977/10775579*c_0101_5^4 - 9022498/10775579*c_0101_5^3 - 8930919/10775579*c_0101_5^2 + 27185759/10775579*c_0101_5 - 12219982/10775579, c_0101_5^9 - 4*c_0101_5^8 + 4*c_0101_5^7 + 9*c_0101_5^6 + 3*c_0101_5^5 + c_0101_5^4 + 6*c_0101_5^3 - 31*c_0101_5^2 + c_0101_5 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB