Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 526287395] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3547 geometric_solution 6.96235955 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 0 0 0 0 0 -1 -1 2 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 0 1 -1 -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 0.537986587725 0.670283825439 3 0 5 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776634305224 0.854960196635 4 5 0 6 1023 1023 0132 0132 0 0 0 0 0 1 -2 1 0 0 0 0 0 1 0 -1 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776634305224 0.854960196635 1 6 6 6 0132 2310 2103 2031 1 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 -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 0.543266517769 0.728631606597 4 2 1 4 3012 1023 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626664956538 0.807515581777 2 5 5 1 1023 3201 2310 0132 0 0 0 0 0 0 -1 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 0 0 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 0.598597948704 0.682615587584 3 3 2 3 2103 1302 0132 3201 0 0 1 0 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543266517769 0.728631606597 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], '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_0']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_5']})} 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_0011_6, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 10567067797/1456560728*c_0101_5^10 + 50118566195/728280364*c_0101_5^9 - 19323822201/104040052*c_0101_5^8 + 133984566757/728280364*c_0101_5^7 - 264410213379/1456560728*c_0101_5^6 + 39786925819/1456560728*c_0101_5^5 + 478098371105/1456560728*c_0101_5^4 + 90998637147/728280364*c_0101_5^3 + 713998636375/1456560728*c_0101_5^2 - 70312863193/1456560728*c_0101_5 - 22203555513/182070091, c_0011_0 - 1, c_0011_2 - 6717/896897*c_0101_5^10 + 59439/1793794*c_0101_5^9 + 188107/896897*c_0101_5^8 - 1119428/896897*c_0101_5^7 + 2264236/896897*c_0101_5^6 - 7216027/1793794*c_0101_5^5 + 8543491/1793794*c_0101_5^4 - 6116667/1793794*c_0101_5^3 + 3530849/896897*c_0101_5^2 - 566559/1793794*c_0101_5 - 785137/1793794, c_0011_6 - 1, c_0101_1 + 551865/896897*c_0101_5^10 - 5769550/896897*c_0101_5^9 + 19710886/896897*c_0101_5^8 - 33073643/896897*c_0101_5^7 + 46132952/896897*c_0101_5^6 - 47785181/896897*c_0101_5^5 + 22666662/896897*c_0101_5^4 - 32908164/896897*c_0101_5^3 - 5493841/896897*c_0101_5^2 + 8516546/896897*c_0101_5 + 1635935/896897, c_0101_2 - 423302/896897*c_0101_5^10 + 8598033/1793794*c_0101_5^9 - 13802426/896897*c_0101_5^8 + 20851440/896897*c_0101_5^7 - 27458359/896897*c_0101_5^6 + 49729627/1793794*c_0101_5^5 - 9565199/1793794*c_0101_5^4 + 36341867/1793794*c_0101_5^3 + 12553661/896897*c_0101_5^2 - 12208289/1793794*c_0101_5 - 3907309/1793794, c_0101_3 + 551865/896897*c_0101_5^10 - 5769550/896897*c_0101_5^9 + 19710886/896897*c_0101_5^8 - 33073643/896897*c_0101_5^7 + 46132952/896897*c_0101_5^6 - 47785181/896897*c_0101_5^5 + 22666662/896897*c_0101_5^4 - 32908164/896897*c_0101_5^3 - 5493841/896897*c_0101_5^2 + 8516546/896897*c_0101_5 + 739038/896897, c_0101_5^11 - 10*c_0101_5^10 + 31*c_0101_5^9 - 44*c_0101_5^8 + 57*c_0101_5^7 - 49*c_0101_5^6 + 2*c_0101_5^5 - 41*c_0101_5^4 - 36*c_0101_5^3 + 11*c_0101_5^2 + 9*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB