Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 526287869] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0556 geometric_solution 4.57476479 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 1 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 2.172532374105 1.132553330809 0 3 4 0 0132 0132 0132 3201 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 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.131458799524 0.862934287185 0 4 3 0 3201 2031 1230 0132 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 1 0 -1 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 -0.131458799524 0.862934287185 4 1 5 2 2310 0132 0132 3012 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 1 -1 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 0.620266221123 0.377841543722 2 5 3 1 1302 3120 3201 0132 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 -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 -0.175872579623 0.716294867551 6 4 6 3 0132 3120 2310 0132 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 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 0.914079933198 0.156762519717 5 5 6 6 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715395629836 0.113021768226 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), '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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 1132783415895724628/14836743034441437695*c_0101_5^14 - 5153961300907379363/29673486068882875390*c_0101_5^13 - 133589621727297041/129015156821229893*c_0101_5^12 + 88711115083152910049/29673486068882875390*c_0101_5^11 - 70000267468650306586/14836743034441437695*c_0101_5^10 + 16366362040223266093/2967348606888287539*c_0101_5^9 - 67296030272750241739/14836743034441437695*c_0101_5^8 + 60217916497184311933/5934697213776575078*c_0101_5^7 + 13654385487869314678/645075784106149465*c_0101_5^6 - 63919172543387148393/2967348606888287539*c_0101_5^5 - 726227519633394484687/29673486068882875390*c_0101_5^4 - 553129029420264084647/29673486068882875390*c_0101_5^3 - 201079882284339050461/29673486068882875390*c_0101_5^2 + 14526029325857447632/14836743034441437695*c_0101_5 + 54445250776300637351/29673486068882875390, c_0011_0 - 1, c_0011_2 + 1, c_0011_4 + 15439299551041326/129015156821229893*c_0101_5^14 - 28505551864645068/129015156821229893*c_0101_5^13 - 196288041786630191/129015156821229893*c_0101_5^12 + 477342544142359132/129015156821229893*c_0101_5^11 - 1080191012525869716/129015156821229893*c_0101_5^10 + 1389031807891207608/129015156821229893*c_0101_5^9 - 1946950273063816928/129015156821229893*c_0101_5^8 + 3213853169937745908/129015156821229893*c_0101_5^7 + 2832923812224295349/129015156821229893*c_0101_5^6 + 1720206927241765940/129015156821229893*c_0101_5^5 + 1138765083425287414/129015156821229893*c_0101_5^4 + 221770031567894408/129015156821229893*c_0101_5^3 - 121187301391518061/129015156821229893*c_0101_5^2 + 204242831851753136/129015156821229893*c_0101_5 - 20555517414966420/129015156821229893, c_0011_5 - 14097270533582196/129015156821229893*c_0101_5^14 + 26230557203091292/129015156821229893*c_0101_5^13 + 175750247316161417/129015156821229893*c_0101_5^12 - 430657271114879710/129015156821229893*c_0101_5^11 + 1026741093172455506/129015156821229893*c_0101_5^10 - 1401142555411979344/129015156821229893*c_0101_5^9 + 2093549326427038146/129015156821229893*c_0101_5^8 - 3434147233658719746/129015156821229893*c_0101_5^7 - 1843108332458482001/129015156821229893*c_0101_5^6 - 2610899577170141119/129015156821229893*c_0101_5^5 - 904465603661899540/129015156821229893*c_0101_5^4 - 529632001986292350/129015156821229893*c_0101_5^3 - 45590255000585188/129015156821229893*c_0101_5^2 - 105463260976112864/129015156821229893*c_0101_5 - 61653524934694217/129015156821229893, c_0101_0 - 5241736267127768/129015156821229893*c_0101_5^14 + 19230668410443674/129015156821229893*c_0101_5^13 + 46421921857830479/129015156821229893*c_0101_5^12 - 274611919799105177/129015156821229893*c_0101_5^11 + 685202814162984902/129015156821229893*c_0101_5^10 - 1268976332649624528/129015156821229893*c_0101_5^9 + 1856888341316948225/129015156821229893*c_0101_5^8 - 2877320965249054545/129015156821229893*c_0101_5^7 + 1843874943062967913/129015156821229893*c_0101_5^6 - 2236497032930396/129015156821229893*c_0101_5^5 + 1204557409073120102/129015156821229893*c_0101_5^4 + 837158377037498103/129015156821229893*c_0101_5^3 - 175696022074503984/129015156821229893*c_0101_5^2 + 137964564621427857/129015156821229893*c_0101_5 + 8058215621912817/129015156821229893, c_0101_3 - 7490655484080630/129015156821229893*c_0101_5^14 + 14302094913730176/129015156821229893*c_0101_5^13 + 91630937614653097/129015156821229893*c_0101_5^12 - 230758489987397850/129015156821229893*c_0101_5^11 + 568908350205274266/129015156821229893*c_0101_5^10 - 812250448017651871/129015156821229893*c_0101_5^9 + 1247980184281237506/129015156821229893*c_0101_5^8 - 2021503358549472336/129015156821229893*c_0101_5^7 - 687984763966200014/129015156821229893*c_0101_5^6 - 1655407394949762943/129015156821229893*c_0101_5^5 - 438338615588066781/129015156821229893*c_0101_5^4 - 341217436175177434/129015156821229893*c_0101_5^3 - 79501942226130161/129015156821229893*c_0101_5^2 - 181561695187890744/129015156821229893*c_0101_5 - 56070990708043837/129015156821229893, c_0101_5^15 - 2*c_0101_5^14 - 12*c_0101_5^13 + 32*c_0101_5^12 - 80*c_0101_5^11 + 115*c_0101_5^10 - 173*c_0101_5^9 + 272*c_0101_5^8 + 90*c_0101_5^7 + 180*c_0101_5^6 + 123*c_0101_5^5 + 31*c_0101_5^4 + 40*c_0101_5^3 + 14*c_0101_5^2 + 5*c_0101_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB