Magma V2.19-8 Tue Aug 20 2013 16:17:21 on localhost [Seed = 1326371719] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1580 geometric_solution 5.35854533 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.370440933380 0.511725172469 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 1.071783973069 1.282232776315 3 0 4 1 2310 0132 2310 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.071783973069 1.282232776315 5 1 2 5 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029270299149 0.480089437364 6 2 1 6 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627202531294 0.321498408106 3 3 5 5 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2.320568620327 0.785733980781 4 4 6 6 0132 2310 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.263791935601 1.035091500560 ==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_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_0101_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 15277534111727/833380038635*c_0101_6^12 + 59319295284454/833380038635*c_0101_6^11 + 495708588924242/833380038635*c_0101_6^10 - 781657471658051/833380038635*c_0101_6^9 - 2776831177242669/833380038635*c_0101_6^8 + 2190838660677537/833380038635*c_0101_6^7 + 882804560228103/166676007727*c_0101_6^6 - 511269169330661/166676007727*c_0101_6^5 - 1856325885636563/833380038635*c_0101_6^4 + 1134816651499769/833380038635*c_0101_6^3 + 274623403053939/833380038635*c_0101_6^2 - 75665051695311/833380038635*c_0101_6 - 101154342939466/833380038635, c_0011_0 - 1, c_0011_4 + 16963894102/4166900193175*c_0101_6^12 - 277555037614/4166900193175*c_0101_6^11 + 230301051453/4166900193175*c_0101_6^10 + 7835148813051/4166900193175*c_0101_6^9 - 6148082030876/4166900193175*c_0101_6^8 - 41050344539377/4166900193175*c_0101_6^7 + 2763988340587/833380038635*c_0101_6^6 + 11582750582019/833380038635*c_0101_6^5 - 6520287189602/4166900193175*c_0101_6^4 - 11783778080789/4166900193175*c_0101_6^3 - 3018972065309/4166900193175*c_0101_6^2 - 215669339884/4166900193175*c_0101_6 + 2005320595691/4166900193175, c_0101_0 + 18333804187/4166900193175*c_0101_6^12 + 216422079891/4166900193175*c_0101_6^11 - 1740353111607/4166900193175*c_0101_6^10 - 8095285748444/4166900193175*c_0101_6^9 + 18138049543619/4166900193175*c_0101_6^8 + 42851486002838/4166900193175*c_0101_6^7 - 7969767691338/833380038635*c_0101_6^6 - 11130043777501/833380038635*c_0101_6^5 + 32037195206238/4166900193175*c_0101_6^4 + 15018732518191/4166900193175*c_0101_6^3 - 7914430941904/4166900193175*c_0101_6^2 - 3807737746529/4166900193175*c_0101_6 - 561666296479/4166900193175, c_0101_1 + 737102099819/4166900193175*c_0101_6^12 - 2651677973783/4166900193175*c_0101_6^11 - 24666965921234/4166900193175*c_0101_6^10 + 30587894188272/4166900193175*c_0101_6^9 + 142847354020128/4166900193175*c_0101_6^8 - 63221822273944/4166900193175*c_0101_6^7 - 47121870744531/833380038635*c_0101_6^6 + 10843639706618/833380038635*c_0101_6^5 + 116433586708206/4166900193175*c_0101_6^4 - 28774181230158/4166900193175*c_0101_6^3 - 24979321762198/4166900193175*c_0101_6^2 - 442214060673/4166900193175*c_0101_6 + 3018402361977/4166900193175, c_0101_2 - 1206488094988/4166900193175*c_0101_6^12 + 4402774402991/4166900193175*c_0101_6^11 + 40045950417368/4166900193175*c_0101_6^10 - 51939393887694/4166900193175*c_0101_6^9 - 227017711889431/4166900193175*c_0101_6^8 + 115580471101838/4166900193175*c_0101_6^7 + 69979744463547/833380038635*c_0101_6^6 - 22872060436676/833380038635*c_0101_6^5 - 131593546643037/4166900193175*c_0101_6^4 + 56956820769491/4166900193175*c_0101_6^3 + 11511785465621/4166900193175*c_0101_6^2 - 3172070770029/4166900193175*c_0101_6 - 3930731991029/4166900193175, c_0101_5 - 605129300561/4166900193175*c_0101_6^12 + 2360390267927/4166900193175*c_0101_6^11 + 19623234441671/4166900193175*c_0101_6^10 - 31461370002043/4166900193175*c_0101_6^9 - 110278852272357/4166900193175*c_0101_6^8 + 91175469659136/4166900193175*c_0101_6^7 + 35314791906549/833380038635*c_0101_6^6 - 22534159770722/833380038635*c_0101_6^5 - 76262967132814/4166900193175*c_0101_6^4 + 59268544428552/4166900193175*c_0101_6^3 + 15730980277637/4166900193175*c_0101_6^2 - 6291459694413/4166900193175*c_0101_6 - 2944446206163/4166900193175, c_0101_6^13 - 4*c_0101_6^12 - 32*c_0101_6^11 + 55*c_0101_6^10 + 176*c_0101_6^9 - 165*c_0101_6^8 - 273*c_0101_6^7 + 200*c_0101_6^6 + 104*c_0101_6^5 - 85*c_0101_6^4 - 13*c_0101_6^3 + 7*c_0101_6^2 + 7*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB