Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 442205981] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3347 geometric_solution 6.49444153 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 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 -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 0.546628488266 0.533405296822 0 3 0 4 0132 0132 1023 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062907461293 0.914423844509 3 0 4 0 2310 0132 2310 1023 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 -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 1.062907461293 0.914423844509 5 1 2 6 0132 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429427277489 0.819279470353 5 2 1 6 2031 3201 0132 3120 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592587311075 0.344488007051 3 6 4 6 0132 2310 1302 0321 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508478628510 0.720989738949 4 5 3 5 3120 0321 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0.508478628510 0.720989738949 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0110_4'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 77/806*c_0110_4^9 - 51/31*c_0110_4^8 + 1943/806*c_0110_4^7 - 4423/806*c_0110_4^6 - 14/13*c_0110_4^5 + 15661/806*c_0110_4^4 - 6153/403*c_0110_4^3 + 771/806*c_0110_4^2 + 290/13*c_0110_4 - 2588/403, c_0011_0 - 1, c_0011_4 - 18/65*c_0110_4^9 + 37/65*c_0110_4^8 - 81/65*c_0110_4^7 + 7/13*c_0110_4^6 + 30/13*c_0110_4^5 - 231/65*c_0110_4^4 + 154/65*c_0110_4^3 + 69/65*c_0110_4^2 - 5/13*c_0110_4 + 44/65, c_0011_6 - 31/130*c_0110_4^9 + 29/130*c_0110_4^8 - 77/130*c_0110_4^7 - 8/13*c_0110_4^6 + 29/13*c_0110_4^5 - 2/5*c_0110_4^4 - 46/65*c_0110_4^3 + 373/130*c_0110_4^2 + 31/26*c_0110_4 - 67/130, c_0101_0 + 31/130*c_0110_4^9 - 29/130*c_0110_4^8 + 77/130*c_0110_4^7 + 8/13*c_0110_4^6 - 29/13*c_0110_4^5 + 2/5*c_0110_4^4 + 46/65*c_0110_4^3 - 373/130*c_0110_4^2 - 31/26*c_0110_4 + 67/130, c_0101_1 + 67/65*c_0110_4^9 - 113/65*c_0110_4^8 + 244/65*c_0110_4^7 - 4/13*c_0110_4^6 - 122/13*c_0110_4^5 + 43/5*c_0110_4^4 - 166/65*c_0110_4^3 - 456/65*c_0110_4^2 - 2/13*c_0110_4 + 84/65, c_0101_2 - 68/65*c_0110_4^9 + 122/65*c_0110_4^8 - 261/65*c_0110_4^7 + 10/13*c_0110_4^6 + 125/13*c_0110_4^5 - 641/65*c_0110_4^4 + 259/65*c_0110_4^3 + 474/65*c_0110_4^2 - 14/13*c_0110_4 - 131/65, c_0110_4^10 - 2*c_0110_4^9 + 4*c_0110_4^8 - c_0110_4^7 - 10*c_0110_4^6 + 12*c_0110_4^5 - 4*c_0110_4^4 - 9*c_0110_4^3 + 4*c_0110_4^2 + 2*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB