Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 880126002] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s635 geometric_solution 5.12205651 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 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 1 -1 1 0 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 0.965897002346 1.623248782340 0 1 0 1 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.632507487354 0.359647893709 3 4 5 0 1302 0132 0132 0132 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 1 0 -1 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 0.572169422371 0.739336714398 4 2 0 5 0132 2031 0132 2310 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0.572169422371 0.739336714398 3 2 4 4 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357775275322 0.555894973447 3 5 5 2 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357343408721 0.593260598573 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : d['c_0011_5'], 'c_1100_4' : d['c_0101_4'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 37970354410260616421/499679774582690743*c_0101_4^18 + 135143435379177952029/499679774582690743*c_0101_4^17 + 286000617252908849919/499679774582690743*c_0101_4^16 - 552187980265980128883/499679774582690743*c_0101_4^15 - 1410983261589632865310/499679774582690743*c_0101_4^14 - 301760409074136270744/499679774582690743*c_0101_4^13 + 1793894192273337089351/499679774582690743*c_0101_4^12 + 520341600876546968473/499679774582690743*c_0101_4^11 - 1529628100410921708172/499679774582690743*c_0101_4^10 + 1574479051489182656936/499679774582690743*c_0101_4^9 + 7627455907906558087259/499679774582690743*c_0101_4^8 + 4985483425401639861450/499679774582690743*c_0101_4^7 - 8206850707021093696800/499679774582690743*c_0101_4^6 - 7574904898772437603485/499679774582690743*c_0101_4^5 + 1403459850102741767512/499679774582690743*c_0101_4^4 + 2260263064467238333054/499679774582690743*c_0101_4^3 + 720498698362643770732/499679774582690743*c_0101_4^2 - 417900038274528237055/499679774582690743*c_0101_4 - 47440074263107341198/499679774582690743, c_0011_0 - 1, c_0011_2 + 528350472613758178/499679774582690743*c_0101_4^18 - 1927022579013446363/499679774582690743*c_0101_4^17 - 3849091962095676180/499679774582690743*c_0101_4^16 + 8144522077926197800/499679774582690743*c_0101_4^15 + 19266540438026304694/499679774582690743*c_0101_4^14 + 2072386611684199448/499679774582690743*c_0101_4^13 - 26749169334367847507/499679774582690743*c_0101_4^12 - 5859342010609090519/499679774582690743*c_0101_4^11 + 23094440147019370553/499679774582690743*c_0101_4^10 - 23014948414211811905/499679774582690743*c_0101_4^9 - 105259039272802504582/499679774582690743*c_0101_4^8 - 58769459396413972068/499679774582690743*c_0101_4^7 + 127621940113166429615/499679774582690743*c_0101_4^6 + 102923369456373271067/499679774582690743*c_0101_4^5 - 32829041337023633541/499679774582690743*c_0101_4^4 - 37138617016880359121/499679774582690743*c_0101_4^3 - 8696258898462293941/499679774582690743*c_0101_4^2 + 6809883699462224440/499679774582690743*c_0101_4 + 947065871554314206/499679774582690743, c_0011_5 - 223317031461903771/499679774582690743*c_0101_4^18 + 833281875672894019/499679774582690743*c_0101_4^17 + 1565905056779935719/499679774582690743*c_0101_4^16 - 3595914601757119102/499679774582690743*c_0101_4^15 - 7942842677115757373/499679774582690743*c_0101_4^14 - 169002229829355084/499679774582690743*c_0101_4^13 + 11760379067176255159/499679774582690743*c_0101_4^12 + 2004288439196112299/499679774582690743*c_0101_4^11 - 10051653177822911538/499679774582690743*c_0101_4^10 + 10160090949229092032/499679774582690743*c_0101_4^9 + 43733674810128230822/499679774582690743*c_0101_4^8 + 21036208863245994708/499679774582690743*c_0101_4^7 - 57858233250937192192/499679774582690743*c_0101_4^6 - 42179995552970450100/499679774582690743*c_0101_4^5 + 16899760727340299760/499679774582690743*c_0101_4^4 + 16806205882435635563/499679774582690743*c_0101_4^3 + 4119291610619528633/499679774582690743*c_0101_4^2 - 3348719007120293001/499679774582690743*c_0101_4 - 305502874747466497/499679774582690743, c_0101_0 + 818099862084274356/499679774582690743*c_0101_4^18 - 2850827509609311467/499679774582690743*c_0101_4^17 - 6358736135049072140/499679774582690743*c_0101_4^16 + 11364314590622616744/499679774582690743*c_0101_4^15 + 31153821957883633941/499679774582690743*c_0101_4^14 + 9019355505574700461/499679774582690743*c_0101_4^13 - 37490262209473977309/499679774582690743*c_0101_4^12 - 13793292603859186195/499679774582690743*c_0101_4^11 + 31469209359882616600/499679774582690743*c_0101_4^10 - 31742100469581581633/499679774582690743*c_0101_4^9 - 166547933601100640560/499679774582690743*c_0101_4^8 - 120427922060985903810/499679774582690743*c_0101_4^7 + 165151544700197778844/499679774582690743*c_0101_4^6 + 173408676777195887121/499679774582690743*c_0101_4^5 - 15615370279421279164/499679774582690743*c_0101_4^4 - 47474454404889180965/499679774582690743*c_0101_4^3 - 17710166761520949185/499679774582690743*c_0101_4^2 + 7496917949528946260/499679774582690743*c_0101_4 + 1104890409294870977/499679774582690743, c_0101_1 + 15651240119630149/499679774582690743*c_0101_4^18 - 85455503948048368/499679774582690743*c_0101_4^17 - 22662893075492268/499679774582690743*c_0101_4^16 + 484141571488187401/499679774582690743*c_0101_4^15 + 250635416175234194/499679774582690743*c_0101_4^14 - 1104657481404408416/499679774582690743*c_0101_4^13 - 1443123832364818290/499679774582690743*c_0101_4^12 + 904167507444783577/499679774582690743*c_0101_4^11 + 1499045157127156213/499679774582690743*c_0101_4^10 - 1400243274022014499/499679774582690743*c_0101_4^9 - 2201552429201840375/499679774582690743*c_0101_4^8 + 4237798464178470985/499679774582690743*c_0101_4^7 + 9615397750829039228/499679774582690743*c_0101_4^6 - 831383821395208595/499679774582690743*c_0101_4^5 - 8249337671234355320/499679774582690743*c_0101_4^4 - 3018737522432165510/499679774582690743*c_0101_4^3 + 233434755720406926/499679774582690743*c_0101_4^2 + 965187356198396193/499679774582690743*c_0101_4 + 315479004165975466/499679774582690743, c_0101_4^19 - 4*c_0101_4^18 - 6*c_0101_4^17 + 18*c_0101_4^16 + 31*c_0101_4^15 - 9*c_0101_4^14 - 52*c_0101_4^13 + 7*c_0101_4^12 + 48*c_0101_4^11 - 59*c_0101_4^10 - 184*c_0101_4^9 - 41*c_0101_4^8 + 281*c_0101_4^7 + 108*c_0101_4^6 - 133*c_0101_4^5 - 49*c_0101_4^4 + 9*c_0101_4^3 + 21*c_0101_4^2 - 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB