Magma V2.19-8 Tue Aug 20 2013 16:17:56 on localhost [Seed = 2378961226] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2163 geometric_solution 5.63824767 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -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 1.304139985319 1.730482265729 0 4 0 2 0132 0132 2310 2031 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722248609213 0.368552349786 5 1 5 0 0132 1302 1023 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 1 0 -1 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 0.065603888153 0.595499915932 5 6 0 4 1230 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021184065045 0.833741813656 5 1 3 6 3120 0132 2031 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 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 0.592071349552 0.504318149266 2 3 2 4 0132 3012 1023 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065603888153 0.595499915932 4 3 6 6 3012 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429166232015 0.180822190846 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : 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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0110_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_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_2, c_0011_3, c_0101_0, c_0101_4, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 76/75*c_0110_6^3 - 29/25*c_0110_6^2 - 434/75*c_0110_6 + 13/15, c_0011_0 - 1, c_0011_2 + 1/3*c_0110_6^2 - 1/3*c_0110_6 + 2/3, c_0011_3 - c_0110_6, c_0101_0 - c_0110_6 + 1, c_0101_4 + 1/3*c_0110_6^2 - 1/3*c_0110_6 + 2/3, c_0101_6 + 1/3*c_0110_6^3 - 1/3*c_0110_6^2 - 4/3*c_0110_6, c_0110_6^4 - 2*c_0110_6^3 - 4*c_0110_6^2 + 5*c_0110_6 - 5 ], 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_0, c_0101_4, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 21164449/1427464*c_0110_6^10 + 19757011/535299*c_0110_6^9 + 43129543/1070598*c_0110_6^8 + 373476709/4282392*c_0110_6^7 - 70387201/535299*c_0110_6^6 + 870900107/4282392*c_0110_6^5 + 2122371905/4282392*c_0110_6^4 - 12544697/1070598*c_0110_6^3 + 1036004029/4282392*c_0110_6^2 + 718084595/1070598*c_0110_6 + 155376367/535299, c_0011_0 - 1, c_0011_2 + 473/2141196*c_0110_6^10 - 94759/1070598*c_0110_6^9 + 158615/535299*c_0110_6^8 - 6167/2141196*c_0110_6^7 + 504167/1070598*c_0110_6^6 - 897483/713732*c_0110_6^5 + 1513617/713732*c_0110_6^4 + 1376381/1070598*c_0110_6^3 - 4079999/2141196*c_0110_6^2 + 790363/356866*c_0110_6 + 632030/535299, c_0011_3 - 132157/2141196*c_0110_6^10 + 11856/178433*c_0110_6^9 + 240401/535299*c_0110_6^8 + 787523/2141196*c_0110_6^7 + 630/178433*c_0110_6^6 - 329183/2141196*c_0110_6^5 + 2924525/713732*c_0110_6^4 + 510740/535299*c_0110_6^3 - 145243/713732*c_0110_6^2 + 3216694/535299*c_0110_6 + 1672238/535299, c_0101_0 + 132157/2141196*c_0110_6^10 - 11856/178433*c_0110_6^9 - 240401/535299*c_0110_6^8 - 787523/2141196*c_0110_6^7 - 630/178433*c_0110_6^6 + 329183/2141196*c_0110_6^5 - 2924525/713732*c_0110_6^4 - 510740/535299*c_0110_6^3 + 145243/713732*c_0110_6^2 - 3216694/535299*c_0110_6 - 1672238/535299, c_0101_4 + 473/2141196*c_0110_6^10 - 94759/1070598*c_0110_6^9 + 158615/535299*c_0110_6^8 - 6167/2141196*c_0110_6^7 + 504167/1070598*c_0110_6^6 - 897483/713732*c_0110_6^5 + 1513617/713732*c_0110_6^4 + 1376381/1070598*c_0110_6^3 - 4079999/2141196*c_0110_6^2 + 790363/356866*c_0110_6 + 632030/535299, c_0101_6 - 277775/713732*c_0110_6^10 + 576853/535299*c_0110_6^9 + 384715/535299*c_0110_6^8 + 4788407/2141196*c_0110_6^7 - 737377/178433*c_0110_6^6 + 4706911/713732*c_0110_6^5 + 22663007/2141196*c_0110_6^4 - 1116076/535299*c_0110_6^3 + 5342181/713732*c_0110_6^2 + 2582150/178433*c_0110_6 + 2711570/535299, c_0110_6^11 - 2*c_0110_6^10 - 4*c_0110_6^9 - 7*c_0110_6^8 + 6*c_0110_6^7 - 9*c_0110_6^6 - 41*c_0110_6^5 - 14*c_0110_6^4 - 15*c_0110_6^3 - 54*c_0110_6^2 - 40*c_0110_6 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB