Magma V2.19-8 Tue Aug 20 2013 16:14:54 on localhost [Seed = 2715827658] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s877 geometric_solution 5.56566823 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 -1 -1 2 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 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 1.432068437426 1.041186669125 0 3 4 0 0132 0132 0132 3201 0 0 0 0 0 1 0 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152352267503 0.751357617246 0 4 3 0 3201 1023 1023 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600490096424 0.641566065173 4 1 2 5 2310 0132 1023 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111771199199 0.973882926289 2 5 3 1 1023 2310 3201 0132 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 -1 1 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 0.111771199199 0.973882926289 5 5 3 4 1230 3012 0132 3201 0 0 0 0 0 0 -1 1 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 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 0.342150606708 0.679903254937 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), '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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 34124358987720815/463209345484079*c_0101_3^15 + 136461294899173507/926418690968158*c_0101_3^14 + 731121044798304841/926418690968158*c_0101_3^13 + 460496918078641307/463209345484079*c_0101_3^12 + 346767809247407551/463209345484079*c_0101_3^11 - 121014076321639515/463209345484079*c_0101_3^10 - 975993932769701613/926418690968158*c_0101_3^9 - 95135113879187313/54495217115774*c_0101_3^8 - 656394135868052239/463209345484079*c_0101_3^7 - 307424254747500483/926418690968158*c_0101_3^6 + 384374589024057571/926418690968158*c_0101_3^5 + 490459995229969815/926418690968158*c_0101_3^4 + 209626182209698895/926418690968158*c_0101_3^3 + 133945002352189523/926418690968158*c_0101_3^2 - 30795573809554018/463209345484079*c_0101_3 - 25006796171388767/463209345484079, c_0011_0 - 1, c_0011_2 + 535085264338865/81742825673661*c_0101_3^15 + 1001483306074166/81742825673661*c_0101_3^14 + 1885270084716455/27247608557887*c_0101_3^13 + 2201966626060539/27247608557887*c_0101_3^12 + 5149761854182376/81742825673661*c_0101_3^11 - 1810312025468393/81742825673661*c_0101_3^10 - 2296266311263220/27247608557887*c_0101_3^9 - 3978583832930680/27247608557887*c_0101_3^8 - 9532703750667247/81742825673661*c_0101_3^7 - 2488983345463931/81742825673661*c_0101_3^6 + 771352161586016/27247608557887*c_0101_3^5 + 3273319097749382/81742825673661*c_0101_3^4 + 1461723757342037/81742825673661*c_0101_3^3 + 1145172779611321/81742825673661*c_0101_3^2 - 456390837192958/81742825673661*c_0101_3 - 274889562450773/81742825673661, c_0011_5 - 625063986900290/81742825673661*c_0101_3^15 - 1245453686501396/81742825673661*c_0101_3^14 - 2256849555059578/27247608557887*c_0101_3^13 - 2851051253753412/27247608557887*c_0101_3^12 - 7198437624902639/81742825673661*c_0101_3^11 + 1115995625208377/81742825673661*c_0101_3^10 + 2636884013600501/27247608557887*c_0101_3^9 + 4920485849384167/27247608557887*c_0101_3^8 + 12902329377605947/81742825673661*c_0101_3^7 + 4547867433968477/81742825673661*c_0101_3^6 - 621753927592695/27247608557887*c_0101_3^5 - 3751705994350757/81742825673661*c_0101_3^4 - 1891480312847354/81742825673661*c_0101_3^3 - 1507870854520648/81742825673661*c_0101_3^2 + 435044489318587/81742825673661*c_0101_3 + 310835816320955/81742825673661, c_0101_0 + 16388310801770/81742825673661*c_0101_3^15 - 17910313732507/81742825673661*c_0101_3^14 + 29170241342845/27247608557887*c_0101_3^13 - 104732290464794/27247608557887*c_0101_3^12 - 424718503827214/81742825673661*c_0101_3^11 - 600199448441999/81742825673661*c_0101_3^10 - 90493716979669/27247608557887*c_0101_3^9 + 45276545168157/27247608557887*c_0101_3^8 + 804025534608239/81742825673661*c_0101_3^7 + 960179337650713/81742825673661*c_0101_3^6 + 190585023068379/27247608557887*c_0101_3^5 + 222954494165390/81742825673661*c_0101_3^4 - 233049394852393/81742825673661*c_0101_3^3 - 179818729236767/81742825673661*c_0101_3^2 - 194391752895937/81742825673661*c_0101_3 + 23289757120648/81742825673661, c_0101_1 - 749383825353575/81742825673661*c_0101_3^15 - 1518135798569015/81742825673661*c_0101_3^14 - 2723854216963978/27247608557887*c_0101_3^13 - 3510365535053323/27247608557887*c_0101_3^12 - 9011496180329903/81742825673661*c_0101_3^11 + 1009981042015496/81742825673661*c_0101_3^10 + 3173768435094738/27247608557887*c_0101_3^9 + 5977946836989717/27247608557887*c_0101_3^8 + 15845574366316417/81742825673661*c_0101_3^7 + 5986366874270705/81742825673661*c_0101_3^6 - 666056458313237/27247608557887*c_0101_3^5 - 4380040894020569/81742825673661*c_0101_3^4 - 2257218775574135/81742825673661*c_0101_3^3 - 1703527949800456/81742825673661*c_0101_3^2 + 435238727841961/81742825673661*c_0101_3 + 332331596289179/81742825673661, c_0101_3^16 + 12/5*c_0101_3^15 + 58/5*c_0101_3^14 + 18*c_0101_3^13 + 83/5*c_0101_3^12 + 11/5*c_0101_3^11 - 14*c_0101_3^10 - 144/5*c_0101_3^9 - 148/5*c_0101_3^8 - 73/5*c_0101_3^7 + c_0101_3^6 + 38/5*c_0101_3^5 + 27/5*c_0101_3^4 + 17/5*c_0101_3^3 + 1/5*c_0101_3^2 - 4/5*c_0101_3 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB