Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 2547387046] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2817 geometric_solution 6.04343114 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982557851332 0.560570338886 0 3 5 4 0132 0132 0132 0132 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 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 0.944219981769 0.594802674240 4 5 3 0 1023 1023 1023 0132 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 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 0.944219981769 0.594802674240 3 1 2 3 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768866083349 0.347264922905 6 2 1 6 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0.653958506166 0.463860155593 2 6 6 1 1023 3201 2310 0132 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216293819770 0.682056318412 4 5 5 4 0132 3201 2310 1023 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 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 1.195895470367 1.004822968683 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(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' : 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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/10*c_0101_6, c_0011_0 - 1, c_0011_2 - 2, c_0101_0 - 1/2*c_0101_6 - 1/2, c_0101_1 + 1/2*c_0101_6 + 1/2, c_0101_2 - 1/2*c_0101_6 + 1/2, c_0101_3 - 1/2*c_0101_6 + 1/2, c_0101_6^2 - 5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 13479087992026/1375579782005*c_0101_6^6 - 51551979746039/250105414910*c_0101_6^5 + 3147144647343221/2751159564010*c_0101_6^4 - 3897120447305158/1375579782005*c_0101_6^3 + 9415044185791809/2751159564010*c_0101_6^2 - 446021012659432/275115956401*c_0101_6 + 727611133055207/2751159564010, c_0011_0 - 1, c_0011_2 + 67836/192139*c_0101_6^6 - 1400588/192139*c_0101_6^5 + 7383588/192139*c_0101_6^4 - 16891016/192139*c_0101_6^3 + 17543718/192139*c_0101_6^2 - 4747112/192139*c_0101_6 - 44876/192139, c_0101_0 - 71188/192139*c_0101_6^6 + 1472832/192139*c_0101_6^5 - 7786197/192139*c_0101_6^4 + 17606775/192139*c_0101_6^3 - 17672067/192139*c_0101_6^2 + 4032453/192139*c_0101_6 + 330130/192139, c_0101_1 - 37512/192139*c_0101_6^6 + 765831/192139*c_0101_6^5 - 3908517/192139*c_0101_6^4 + 8496089/192139*c_0101_6^3 - 8120856/192139*c_0101_6^2 + 1577151/192139*c_0101_6 - 13116/192139, c_0101_2 - 50367/192139*c_0101_6^6 + 1034405/192139*c_0101_6^5 - 5357781/192139*c_0101_6^4 + 11751712/192139*c_0101_6^3 - 11032871/192139*c_0101_6^2 + 1611140/192139*c_0101_6 + 4701/192139, c_0101_3 + 51990/192139*c_0101_6^6 - 1069614/192139*c_0101_6^5 + 5579947/192139*c_0101_6^4 - 12532364/192139*c_0101_6^3 + 12570623/192139*c_0101_6^2 - 2777861/192139*c_0101_6 - 273165/192139, c_0101_6^7 - 21*c_0101_6^6 + 116*c_0101_6^5 - 285*c_0101_6^4 + 339*c_0101_6^3 - 153*c_0101_6^2 + 21*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB