Magma V2.19-8 Tue Aug 20 2013 16:18:04 on localhost [Seed = 2547387231] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2290 geometric_solution 5.69905559 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 1 0 -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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149564479179 0.867923778999 0 3 5 2 0132 3012 0132 1230 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 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 0.575968126911 0.587812269187 1 0 6 6 3012 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007787028472 0.963110190438 1 4 5 0 1230 3120 0321 0132 0 0 0 0 0 1 0 -1 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 1 0 -1 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 -0.768790038594 0.531134710611 5 3 0 5 0213 3120 0132 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 -1 1 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 0.807178088317 1.118946979797 4 4 3 1 0213 0321 0321 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 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 0.575968126911 0.587812269187 6 2 2 6 3201 3201 0132 2310 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 -0.717591256228 0.723416646874 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_1001_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0011_4'], '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_3, c_0011_4, c_0011_5, c_0011_6, c_0101_6, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 11520/167*c_1001_5^11 - 5622/167*c_1001_5^10 + 14427/167*c_1001_5^9 - 18467/167*c_1001_5^8 - 82890/167*c_1001_5^7 + 29086/167*c_1001_5^6 - 3810/167*c_1001_5^5 + 58914/167*c_1001_5^4 + 97462/167*c_1001_5^3 - 48033/167*c_1001_5^2 - 21538/167*c_1001_5 - 23687/167, c_0011_0 - 1, c_0011_3 - c_1001_5, c_0011_4 + 55/167*c_1001_5^11 + 31/167*c_1001_5^10 + 33/167*c_1001_5^9 - 3/167*c_1001_5^8 - 551/167*c_1001_5^7 - 235/167*c_1001_5^6 + 44/167*c_1001_5^5 + 233/167*c_1001_5^4 + 876/167*c_1001_5^3 + 181/167*c_1001_5^2 - 203/167*c_1001_5 - 161/167, c_0011_5 + 94/167*c_1001_5^11 - 29/167*c_1001_5^10 + 190/167*c_1001_5^9 - 245/167*c_1001_5^8 - 465/167*c_1001_5^7 - 265/167*c_1001_5^6 - 192/167*c_1001_5^5 + 714/167*c_1001_5^4 + 398/167*c_1001_5^3 + 531/167*c_1001_5^2 - 268/167*c_1001_5 - 178/167, c_0011_6 + 112/167*c_1001_5^11 - 31/167*c_1001_5^10 + 134/167*c_1001_5^9 - 164/167*c_1001_5^8 - 785/167*c_1001_5^7 + 68/167*c_1001_5^6 + 123/167*c_1001_5^5 + 602/167*c_1001_5^4 + 961/167*c_1001_5^3 - 181/167*c_1001_5^2 - 465/167*c_1001_5 - 173/167, c_0101_6 - 34/167*c_1001_5^11 + 78/167*c_1001_5^10 + 13/167*c_1001_5^9 + 181/167*c_1001_5^8 + 289/167*c_1001_5^7 - 462/167*c_1001_5^6 - 428/167*c_1001_5^5 - 475/167*c_1001_5^4 - 247/167*c_1001_5^3 + 547/167*c_1001_5^2 + 502/167*c_1001_5 + 139/167, c_1001_5^12 + c_1001_5^10 - c_1001_5^9 - 8*c_1001_5^8 - c_1001_5^7 + c_1001_5^6 + 5*c_1001_5^5 + 11*c_1001_5^4 - 4*c_1001_5^2 - 3*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB