Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 559987730] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2715 geometric_solution 5.96599157 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 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 0.714790878129 0.888304364312 0 4 0 5 0132 0132 2310 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 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 0.450165364479 0.683305455242 6 3 3 0 0132 3012 2031 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 1 -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 1.118404020353 0.865675457886 2 6 0 2 1230 2310 0132 1302 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 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 1.118404020353 0.865675457886 5 1 5 6 3201 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155098146335 1.133953546889 6 4 1 4 2103 1230 0132 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 -0.155098146335 1.133953546889 2 4 5 3 0132 0321 2103 3201 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 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 1.261795211506 0.351748186305 ==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' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_1001_1'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 121158511485577/309239231492*c_1001_1^13 + 1234306445103411/14225004648632*c_1001_1^12 + 2339950776805462/1778125581079*c_1001_1^11 + 15840653973233193/14225004648632*c_1001_1^10 - 30601538792894057/14225004648632*c_1001_1^9 - 39626491295222067/14225004648632*c_1001_1^8 + 5332651947626347/3556251162158*c_1001_1^7 + 48251119956652715/14225004648632*c_1001_1^6 - 3740904766670483/14225004648632*c_1001_1^5 - 37197141722797347/14225004648632*c_1001_1^4 - 23108570953141/7112502324316*c_1001_1^3 + 1959513760614601/1778125581079*c_1001_1^2 - 171859546685585/7112502324316*c_1001_1 - 1341919171529351/7112502324316, c_0011_0 - 1, c_0011_2 - 825030649055/77309807873*c_1001_1^13 - 77815799201/77309807873*c_1001_1^12 + 2592996631757/77309807873*c_1001_1^11 + 3217741734356/77309807873*c_1001_1^10 - 3175782580555/77309807873*c_1001_1^9 - 6425716029116/77309807873*c_1001_1^8 + 676756264678/77309807873*c_1001_1^7 + 6746339418709/77309807873*c_1001_1^6 + 1626390989585/77309807873*c_1001_1^5 - 4320458109137/77309807873*c_1001_1^4 - 1240149983172/77309807873*c_1001_1^3 + 1593188085847/77309807873*c_1001_1^2 + 321406342137/77309807873*c_1001_1 - 262291857641/77309807873, c_0011_5 + 326279240965/77309807873*c_1001_1^13 - 398604169879/77309807873*c_1001_1^12 - 747304621946/77309807873*c_1001_1^11 + 42732600341/77309807873*c_1001_1^10 + 1982103636074/77309807873*c_1001_1^9 - 41424605463/77309807873*c_1001_1^8 - 2285484177977/77309807873*c_1001_1^7 - 619767497252/77309807873*c_1001_1^6 + 1910442847514/77309807873*c_1001_1^5 + 706767764658/77309807873*c_1001_1^4 - 1372641318914/77309807873*c_1001_1^3 + 129367903043/77309807873*c_1001_1^2 + 341139286474/77309807873*c_1001_1 - 147188533983/77309807873, c_0101_0 - c_1001_1, c_0101_1 - 4095374429998/77309807873*c_1001_1^13 + 1676625556760/77309807873*c_1001_1^12 + 13359857068628/77309807873*c_1001_1^11 + 9729769325806/77309807873*c_1001_1^10 - 24117189687508/77309807873*c_1001_1^9 - 25899270587342/77309807873*c_1001_1^8 + 18154876986447/77309807873*c_1001_1^7 + 33419506844181/77309807873*c_1001_1^6 - 5630195014604/77309807873*c_1001_1^5 - 25937371295302/77309807873*c_1001_1^4 + 1825425621176/77309807873*c_1001_1^3 + 10273211570898/77309807873*c_1001_1^2 - 581230539834/77309807873*c_1001_1 - 1713127329319/77309807873, c_0101_2 - 5271259894308/77309807873*c_1001_1^13 + 2020988803020/77309807873*c_1001_1^12 + 17339307512295/77309807873*c_1001_1^11 + 12752620869263/77309807873*c_1001_1^10 - 31105568067878/77309807873*c_1001_1^9 - 33877653574301/77309807873*c_1001_1^8 + 23854423175983/77309807873*c_1001_1^7 + 43945087946985/77309807873*c_1001_1^6 - 7452457613974/77309807873*c_1001_1^5 - 34421173826364/77309807873*c_1001_1^4 + 2332886312222/77309807873*c_1001_1^3 + 13944227026575/77309807873*c_1001_1^2 - 769220858548/77309807873*c_1001_1 - 2328366795145/77309807873, c_1001_1^14 - 26/23*c_1001_1^13 - 3*c_1001_1^12 + 1/23*c_1001_1^11 + 177/23*c_1001_1^10 + 2*c_1001_1^9 - 215/23*c_1001_1^8 - 113/23*c_1001_1^7 + 177/23*c_1001_1^6 + 126/23*c_1001_1^5 - 124/23*c_1001_1^4 - 54/23*c_1001_1^3 + 50/23*c_1001_1^2 + 8/23*c_1001_1 - 8/23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB