Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 1612840002] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s366 geometric_solution 4.58609711 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0.570105480011 0.124135393618 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755230935607 0.240507695273 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 -1 0 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034461657332 0.935562500638 5 2 4 4 0132 0132 2310 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392463125722 0.730269444572 3 3 2 5 3120 3201 0132 1023 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 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 0.392463125722 0.730269444572 3 5 5 4 0132 1230 3012 1023 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.428995681898 1.062487094707 ==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_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 171114085/38519*c_0101_5^15 - 616998166/38519*c_0101_5^14 + 6637843796/38519*c_0101_5^13 - 3179300659/38519*c_0101_5^12 - 48991573833/38519*c_0101_5^11 + 82621768434/38519*c_0101_5^10 + 54910813830/38519*c_0101_5^9 - 200241524525/38519*c_0101_5^8 + 54888434990/38519*c_0101_5^7 + 140588945811/38519*c_0101_5^6 - 77900901620/38519*c_0101_5^5 - 29997523245/38519*c_0101_5^4 + 1591928636/2963*c_0101_5^3 + 3187947883/38519*c_0101_5^2 - 133016866/2963*c_0101_5 - 246867301/38519, c_0011_0 - 1, c_0011_1 + 979996/38519*c_0101_5^15 + 3503350/38519*c_0101_5^14 - 38137857/38519*c_0101_5^13 + 19327976/38519*c_0101_5^12 + 280476922/38519*c_0101_5^11 - 481720407/38519*c_0101_5^10 - 303593672/38519*c_0101_5^9 + 1159749072/38519*c_0101_5^8 - 341781002/38519*c_0101_5^7 - 805616349/38519*c_0101_5^6 + 465104942/38519*c_0101_5^5 + 167722278/38519*c_0101_5^4 - 9402417/2963*c_0101_5^3 - 18071561/38519*c_0101_5^2 + 792229/2963*c_0101_5 + 1509969/38519, c_0011_4 + 2478787/38519*c_0101_5^15 + 8935152/38519*c_0101_5^14 - 96198465/38519*c_0101_5^13 + 46048446/38519*c_0101_5^12 + 710865682/38519*c_0101_5^11 - 1198174299/38519*c_0101_5^10 - 803211437/38519*c_0101_5^9 + 2916150721/38519*c_0101_5^8 - 786833813/38519*c_0101_5^7 - 2071137083/38519*c_0101_5^6 + 1136423869/38519*c_0101_5^5 + 458143245/38519*c_0101_5^4 - 23803499/2963*c_0101_5^3 - 50880781/38519*c_0101_5^2 + 2049473/2963*c_0101_5 + 3950237/38519, c_0101_0 - 1631952/38519*c_0101_5^15 - 6051827/38519*c_0101_5^14 + 62574015/38519*c_0101_5^13 - 24495841/38519*c_0101_5^12 - 466361241/38519*c_0101_5^11 + 744053561/38519*c_0101_5^10 + 572623265/38519*c_0101_5^9 - 1843611753/38519*c_0101_5^8 + 397609703/38519*c_0101_5^7 + 1341259432/38519*c_0101_5^6 - 660136621/38519*c_0101_5^5 - 312531768/38519*c_0101_5^4 + 14191445/2963*c_0101_5^3 + 34692303/38519*c_0101_5^2 - 1214361/2963*c_0101_5 - 2399893/38519, c_0101_3 - 1581877/38519*c_0101_5^15 - 5699405/38519*c_0101_5^14 + 61394916/38519*c_0101_5^13 - 29518597/38519*c_0101_5^12 - 453437726/38519*c_0101_5^11 + 765497363/38519*c_0101_5^10 + 510110397/38519*c_0101_5^9 - 1860691839/38519*c_0101_5^8 + 506792596/38519*c_0101_5^7 + 1317668616/38519*c_0101_5^6 - 726890702/38519*c_0101_5^5 - 289121081/38519*c_0101_5^4 + 15157936/2963*c_0101_5^3 + 32024349/38519*c_0101_5^2 - 1303080/2963*c_0101_5 - 2528484/38519, c_0101_5^16 + 3*c_0101_5^15 - 41*c_0101_5^14 + 42*c_0101_5^13 + 276*c_0101_5^12 - 657*c_0101_5^11 - 35*c_0101_5^10 + 1378*c_0101_5^9 - 1026*c_0101_5^8 - 656*c_0101_5^7 + 969*c_0101_5^6 - 86*c_0101_5^5 - 242*c_0101_5^4 + 55*c_0101_5^3 + 24*c_0101_5^2 - 5*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB