Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 1309659767] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s067 geometric_solution 3.60604200 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.669596868062 0.072325285417 0 0 2 2 0132 3201 2310 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 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 2.153780798750 0.470765767734 3 1 1 3 0132 3201 0132 1023 0 0 0 0 0 0 0 0 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 1 -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 0 0 0 1.350758220915 0.494485564300 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 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 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 0.200472442337 0.426607190621 5 3 5 5 2310 0132 2103 3201 0 0 0 0 0 0 0 0 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 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 0.019096368310 0.993138128880 4 4 4 3 2103 2310 3201 0132 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 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.019096368310 0.993138128880 ==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' : 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_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_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_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], '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_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : 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_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 2083442/42499*c_0101_4^17 - 1747293/42499*c_0101_4^16 + 8716983/42499*c_0101_4^15 + 9124482/42499*c_0101_4^14 - 22636134/42499*c_0101_4^13 - 25933602/42499*c_0101_4^12 + 52916508/42499*c_0101_4^11 + 59191907/42499*c_0101_4^10 - 80221751/42499*c_0101_4^9 - 97711427/42499*c_0101_4^8 + 89036078/42499*c_0101_4^7 + 111514642/42499*c_0101_4^6 - 89523899/42499*c_0101_4^5 - 96845916/42499*c_0101_4^4 + 47678986/42499*c_0101_4^3 + 56883856/42499*c_0101_4^2 - 3865034/42499*c_0101_4 - 12096643/42499, c_0011_0 - 1, c_0011_2 + 2938/42499*c_0101_4^17 - 23965/42499*c_0101_4^16 - 31953/42499*c_0101_4^15 + 68834/42499*c_0101_4^14 + 114179/42499*c_0101_4^13 - 170775/42499*c_0101_4^12 - 283047/42499*c_0101_4^11 + 386308/42499*c_0101_4^10 + 571397/42499*c_0101_4^9 - 429604/42499*c_0101_4^8 - 762217/42499*c_0101_4^7 + 482842/42499*c_0101_4^6 + 752378/42499*c_0101_4^5 - 431091/42499*c_0101_4^4 - 556167/42499*c_0101_4^3 + 41983/42499*c_0101_4^2 + 187142/42499*c_0101_4 + 14216/42499, c_0011_5 - 2938/42499*c_0101_4^17 + 23965/42499*c_0101_4^16 + 31953/42499*c_0101_4^15 - 68834/42499*c_0101_4^14 - 114179/42499*c_0101_4^13 + 170775/42499*c_0101_4^12 + 283047/42499*c_0101_4^11 - 386308/42499*c_0101_4^10 - 571397/42499*c_0101_4^9 + 429604/42499*c_0101_4^8 + 762217/42499*c_0101_4^7 - 482842/42499*c_0101_4^6 - 752378/42499*c_0101_4^5 + 431091/42499*c_0101_4^4 + 513668/42499*c_0101_4^3 - 41983/42499*c_0101_4^2 - 144643/42499*c_0101_4 - 14216/42499, c_0101_0 - 7528/42499*c_0101_4^17 + 246/42499*c_0101_4^16 + 35526/42499*c_0101_4^15 + 23422/42499*c_0101_4^14 - 93980/42499*c_0101_4^13 - 64660/42499*c_0101_4^12 + 206812/42499*c_0101_4^11 + 161778/42499*c_0101_4^10 - 330468/42499*c_0101_4^9 - 342172/42499*c_0101_4^8 + 339272/42499*c_0101_4^7 + 357820/42499*c_0101_4^6 - 305585/42499*c_0101_4^5 - 369144/42499*c_0101_4^4 + 194932/42499*c_0101_4^3 + 252208/42499*c_0101_4^2 + 14825/42499*c_0101_4 - 25374/42499, c_0101_1 - 10645/42499*c_0101_4^17 - 6167/42499*c_0101_4^16 + 53702/42499*c_0101_4^15 + 43406/42499*c_0101_4^14 - 143845/42499*c_0101_4^13 - 136348/42499*c_0101_4^12 + 346843/42499*c_0101_4^11 + 301036/42499*c_0101_4^10 - 575986/42499*c_0101_4^9 - 551392/42499*c_0101_4^8 + 659681/42499*c_0101_4^7 + 632819/42499*c_0101_4^6 - 693075/42499*c_0101_4^5 - 511331/42499*c_0101_4^4 + 415584/42499*c_0101_4^3 + 358352/42499*c_0101_4^2 - 61545/42499*c_0101_4 - 52173/42499, c_0101_4^18 + c_0101_4^17 - 4*c_0101_4^16 - 5*c_0101_4^15 + 10*c_0101_4^14 + 14*c_0101_4^13 - 23*c_0101_4^12 - 32*c_0101_4^11 + 33*c_0101_4^10 + 52*c_0101_4^9 - 34*c_0101_4^8 - 59*c_0101_4^7 + 33*c_0101_4^6 + 52*c_0101_4^5 - 14*c_0101_4^4 - 30*c_0101_4^3 - 3*c_0101_4^2 + 6*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB