Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 4139215605] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s406 geometric_solution 4.65955286 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277201171428 0.159100007385 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.009218684138 1.398363183675 1 3 4 3 0132 3201 0132 1230 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 -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 0.317756983737 1.224341451994 2 4 2 1 3012 3201 2310 0132 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 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 0.317756983737 1.224341451994 5 5 3 2 0132 3201 2310 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 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 0.339991589970 0.803414570780 4 5 4 5 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.892468892057 0.591415147452 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : 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' : 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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_0']), '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_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : 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_3, c_0011_4, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 290144908142540/3538632268137*c_0101_3^17 + 991568988265603/3538632268137*c_0101_3^16 + 3769609504822450/3538632268137*c_0101_3^15 - 2361399408406793/1179544089379*c_0101_3^14 - 2256624884997851/1179544089379*c_0101_3^13 + 6214263319304503/1179544089379*c_0101_3^12 - 8493606814073834/1179544089379*c_0101_3^11 - 34349700398777837/3538632268137*c_0101_3^10 + 28507231369207608/1179544089379*c_0101_3^9 + 65301918415641536/3538632268137*c_0101_3^8 - 77899246712747377/3538632268137*c_0101_3^7 - 80832536678399992/3538632268137*c_0101_3^6 + 11573759500990048/3538632268137*c_0101_3^5 + 13301409154000454/1179544089379*c_0101_3^4 + 13630860829020509/3538632268137*c_0101_3^3 - 3607654083955013/3538632268137*c_0101_3^2 - 1051898332843596/1179544089379*c_0101_3 - 544348135152563/3538632268137, c_0011_0 - 1, c_0011_1 + 860838683618/3538632268137*c_0101_3^17 - 4495451891818/3538632268137*c_0101_3^16 - 5714479957702/3538632268137*c_0101_3^15 + 13577357616147/1179544089379*c_0101_3^14 - 6769040786346/1179544089379*c_0101_3^13 - 29416532281349/1179544089379*c_0101_3^12 + 60825492721037/1179544089379*c_0101_3^11 - 46552880676580/3538632268137*c_0101_3^10 - 143779711007185/1179544089379*c_0101_3^9 + 300128283352852/3538632268137*c_0101_3^8 + 530092842055414/3538632268137*c_0101_3^7 - 248858399906879/3538632268137*c_0101_3^6 - 392717130310357/3538632268137*c_0101_3^5 + 8203335961941/1179544089379*c_0101_3^4 + 140848633902058/3538632268137*c_0101_3^3 + 33503428993184/3538632268137*c_0101_3^2 - 6211848988087/1179544089379*c_0101_3 - 5147534625952/3538632268137, c_0011_3 + 2338450584973/3538632268137*c_0101_3^17 - 10194096093358/3538632268137*c_0101_3^16 - 7615977002896/1179544089379*c_0101_3^15 + 28771186371900/1179544089379*c_0101_3^14 - 619642877124/1179544089379*c_0101_3^13 - 69333276224520/1179544089379*c_0101_3^12 + 122335279709943/1179544089379*c_0101_3^11 + 85354661279653/3538632268137*c_0101_3^10 - 992995452116231/3538632268137*c_0101_3^9 + 69469566113835/1179544089379*c_0101_3^8 + 1144048492282895/3538632268137*c_0101_3^7 - 153883817181011/3538632268137*c_0101_3^6 - 710023842350233/3538632268137*c_0101_3^5 - 46861221629764/3538632268137*c_0101_3^4 + 230738506305214/3538632268137*c_0101_3^3 + 70872198173609/3538632268137*c_0101_3^2 - 29548986627985/3538632268137*c_0101_3 - 4635272287026/1179544089379, c_0011_4 - 717736710253/1179544089379*c_0101_3^17 + 9189760461737/3538632268137*c_0101_3^16 + 20974814264497/3538632268137*c_0101_3^15 - 24441677708068/1179544089379*c_0101_3^14 + 825611016557/1179544089379*c_0101_3^13 + 52113382237824/1179544089379*c_0101_3^12 - 104508007342693/1179544089379*c_0101_3^11 - 11761104373106/1179544089379*c_0101_3^10 + 758917947104684/3538632268137*c_0101_3^9 - 101057114428690/3538632268137*c_0101_3^8 - 236700826476032/1179544089379*c_0101_3^7 - 63197426489876/3538632268137*c_0101_3^6 + 279137501966609/3538632268137*c_0101_3^5 + 109974758821009/3538632268137*c_0101_3^4 - 4375730985188/3538632268137*c_0101_3^3 - 19978313421946/3538632268137*c_0101_3^2 - 7698322880438/3538632268137*c_0101_3 - 3525877647389/3538632268137, c_0101_0 - 1237640850922/1179544089379*c_0101_3^17 + 12576797820920/3538632268137*c_0101_3^16 + 49158555910774/3538632268137*c_0101_3^15 - 30622213872095/1179544089379*c_0101_3^14 - 31101784174893/1179544089379*c_0101_3^13 + 86294334860470/1179544089379*c_0101_3^12 - 109338575904642/1179544089379*c_0101_3^11 - 164444813535576/1179544089379*c_0101_3^10 + 1179591279318965/3538632268137*c_0101_3^9 + 836090985792860/3538632268137*c_0101_3^8 - 397220065745903/1179544089379*c_0101_3^7 - 947944411228811/3538632268137*c_0101_3^6 + 335687902483424/3538632268137*c_0101_3^5 + 488167458060601/3538632268137*c_0101_3^4 + 84589300416355/3538632268137*c_0101_3^3 - 74221438768270/3538632268137*c_0101_3^2 - 32106356408663/3538632268137*c_0101_3 - 730295146373/3538632268137, c_0101_3^18 - 4*c_0101_3^17 - 11*c_0101_3^16 + 32*c_0101_3^15 + 9*c_0101_3^14 - 78*c_0101_3^13 + 126*c_0101_3^12 + 67*c_0101_3^11 - 365*c_0101_3^10 - 50*c_0101_3^9 + 399*c_0101_3^8 + 115*c_0101_3^7 - 200*c_0101_3^6 - 108*c_0101_3^5 + 33*c_0101_3^4 + 37*c_0101_3^3 + 3*c_0101_3^2 - 4*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB