Magma V2.19-8 Tue Aug 20 2013 16:18:05 on localhost [Seed = 2118116022] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2305 geometric_solution 5.70500330 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.010781744959 0.616723945494 0 0 3 2 3201 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 1 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 1.047206400891 1.074136058254 4 3 1 5 0132 2031 0132 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812007565825 0.570520447027 2 4 6 1 1302 2310 0132 0132 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 1 -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 0.812007565825 0.570520447027 2 6 5 3 0132 1230 1230 3201 0 0 0 0 0 -1 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 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 0.367819144757 0.297028251633 6 6 2 4 0321 2103 0132 3012 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 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 0.295775411467 0.608816135106 5 5 4 3 0321 2103 3012 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 0.295775411467 0.608816135106 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(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' : 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' : negation(d['c_1001_4']), 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_1001_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_3, c_0101_1, c_0101_2, c_0101_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2/3, c_0011_0 - 1, c_0011_2 - c_0011_3 + 1, c_0011_3^2 - c_0011_3 + 3/2, c_0101_1 + 2*c_0101_4, c_0101_2 - 1, c_0101_4^2 - 1/2, c_1001_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_1, c_0101_2, c_0101_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 5382000/1239763*c_1001_4^7 + 222850441/4959052*c_1001_4^6 + 1873760779/9918104*c_1001_4^5 + 2757107055/9918104*c_1001_4^4 + 4481705339/9918104*c_1001_4^3 + 179906919/9918104*c_1001_4^2 + 2926556901/4959052*c_1001_4 - 9232449/1239763, c_0011_0 - 1, c_0011_2 - 3773/354218*c_1001_4^7 - 154497/1416872*c_1001_4^6 - 644323/1416872*c_1001_4^5 - 928589/1416872*c_1001_4^4 - 1461213/1416872*c_1001_4^3 + 337145/708436*c_1001_4^2 - 506087/354218*c_1001_4 + 52141/177109, c_0011_3 + 3773/354218*c_1001_4^7 + 154497/1416872*c_1001_4^6 + 644323/1416872*c_1001_4^5 + 928589/1416872*c_1001_4^4 + 1461213/1416872*c_1001_4^3 - 337145/708436*c_1001_4^2 + 506087/354218*c_1001_4 - 52141/177109, c_0101_1 - 55451/1416872*c_0101_4*c_1001_4^7 - 268013/708436*c_0101_4*c_1001_4^6 - 1004059/708436*c_0101_4*c_1001_4^5 - 223922/177109*c_0101_4*c_1001_4^4 - 3017703/1416872*c_0101_4*c_1001_4^3 + 1801433/708436*c_0101_4*c_1001_4^2 - 929022/177109*c_0101_4*c_1001_4 + 511586/177109*c_0101_4, c_0101_2 - 547/354218*c_1001_4^7 - 5449/708436*c_1001_4^6 + 1913/354218*c_1001_4^5 + 21916/177109*c_1001_4^4 - 35851/177109*c_1001_4^3 + 102673/708436*c_1001_4^2 - 92616/177109*c_1001_4 + 113083/177109, c_0101_4^2 - 14559/2833744*c_1001_4^7 - 135815/2833744*c_1001_4^6 - 458717/2833744*c_1001_4^5 - 51757/2833744*c_1001_4^4 + 9953/177109*c_1001_4^3 + 156593/708436*c_1001_4^2 - 69183/177109*c_1001_4 + 12904/177109, c_1001_4^8 + 10*c_1001_4^7 + 40*c_1001_4^6 + 50*c_1001_4^5 + 87*c_1001_4^4 - 24*c_1001_4^3 + 148*c_1001_4^2 - 48*c_1001_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB