Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 3381155271] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s565 geometric_solution 5.00800192 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 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 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 0.252803585285 0.932891174971 3 2 4 0 0132 3012 0132 0132 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 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 0.972967799536 1.215448960418 1 3 0 4 1230 2310 0132 3201 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 0 1 -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 0.972967799536 1.215448960418 1 3 3 2 0132 1230 3012 3201 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 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 0.985651044388 0.653162183138 5 2 5 1 0132 2310 1023 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307485252084 0.907808366281 4 5 4 5 0132 1302 1023 2031 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482525493107 0.116821074111 ==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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], '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' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 244740174574517068/442947455930381*c_0101_4^13 + 1895054331196686032/442947455930381*c_0101_4^12 - 6564749900403756117/885894911860762*c_0101_4^11 - 553431646848884843/1771789823721524*c_0101_4^10 + 24161166561980482601/1771789823721524*c_0101_4^9 - 3833201077716758424/442947455930381*c_0101_4^8 - 13482559474823799437/1771789823721524*c_0101_4^7 - 1221314730219960759/885894911860762*c_0101_4^6 + 1760518512641621959/1771789823721524*c_0101_4^5 + 3811994765406357019/885894911860762*c_0101_4^4 - 3177813253543533699/1771789823721524*c_0101_4^3 - 753013286766491249/1771789823721524*c_0101_4^2 + 877789002566921795/1771789823721524*c_0101_4 - 59425242874307030/442947455930381, c_0011_0 - 1, c_0011_1 + 10687114471875520/442947455930381*c_0101_4^13 - 80247114154385904/442947455930381*c_0101_4^12 + 125355486478136680/442947455930381*c_0101_4^11 + 29254666191704090/442947455930381*c_0101_4^10 - 247606817872517847/442947455930381*c_0101_4^9 + 111901069128728197/442947455930381*c_0101_4^8 + 155478380209344867/442947455930381*c_0101_4^7 + 69778045485469867/442947455930381*c_0101_4^6 + 8313605635647950/442947455930381*c_0101_4^5 - 72908851502335452/442947455930381*c_0101_4^4 + 18843447042663164/442947455930381*c_0101_4^3 + 6507759571859955/442947455930381*c_0101_4^2 - 7573404088162492/442947455930381*c_0101_4 + 1148024295841604/442947455930381, c_0011_4 + 9874577859246624/442947455930381*c_0101_4^13 - 73907562129880736/442947455930381*c_0101_4^12 + 113544721208393212/442947455930381*c_0101_4^11 + 33421967960078534/442947455930381*c_0101_4^10 - 233379281801743956/442947455930381*c_0101_4^9 + 96593377881323042/442947455930381*c_0101_4^8 + 155276917366896191/442947455930381*c_0101_4^7 + 65407680896741904/442947455930381*c_0101_4^6 + 3693715182020974/442947455930381*c_0101_4^5 - 73615720003424192/442947455930381*c_0101_4^4 + 13865839333229914/442947455930381*c_0101_4^3 + 9170875811966710/442947455930381*c_0101_4^2 - 6637120751913402/442947455930381*c_0101_4 + 781474281192618/442947455930381, c_0101_0 - 34735389617615344/442947455930381*c_0101_4^13 + 262333034844549728/442947455930381*c_0101_4^12 - 417722571276236562/442947455930381*c_0101_4^11 - 85143050303344523/442947455930381*c_0101_4^10 + 819946735194160087/442947455930381*c_0101_4^9 - 394487300235780104/442947455930381*c_0101_4^8 - 511702246231724560/442947455930381*c_0101_4^7 - 197851526437304962/442947455930381*c_0101_4^6 - 4585070397935353/442947455930381*c_0101_4^5 + 251514864812596936/442947455930381*c_0101_4^4 - 66744104219734400/442947455930381*c_0101_4^3 - 26401824102998532/442947455930381*c_0101_4^2 + 26082650691097141/442947455930381*c_0101_4 - 4670545945935310/442947455930381, c_0101_1 - 28422977078378352/442947455930381*c_0101_4^13 + 214080811403359920/442947455930381*c_0101_4^12 - 337569800356776354/442947455930381*c_0101_4^11 - 75553239176299277/442947455930381*c_0101_4^10 + 667339518713395436/442947455930381*c_0101_4^9 - 308846955867215005/442947455930381*c_0101_4^8 - 421629247275330017/442947455930381*c_0101_4^7 - 173030453358652580/442947455930381*c_0101_4^6 - 9542906047813260/442947455930381*c_0101_4^5 + 205787382576080548/442947455930381*c_0101_4^4 - 48498798335881726/442947455930381*c_0101_4^3 - 19928477515148408/442947455930381*c_0101_4^2 + 20605990397472379/442947455930381*c_0101_4 - 3808802160700589/442947455930381, c_0101_4^14 - 7*c_0101_4^13 + 63/8*c_0101_4^12 + 143/16*c_0101_4^11 - 22*c_0101_4^10 - 13/8*c_0101_4^9 + 41/2*c_0101_4^8 + 225/16*c_0101_4^7 + 29/8*c_0101_4^6 - 113/16*c_0101_4^5 - 17/8*c_0101_4^4 + 13/8*c_0101_4^3 - 5/16*c_0101_4^2 - 1/4*c_0101_4 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB