Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 3819077377] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0531 geometric_solution 4.54954956 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 -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 2.110144575181 0.648944559564 0 1 1 0 0132 3201 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 -0.665551654770 0.100028703244 0 3 4 0 3201 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902607147005 0.797345577721 5 2 4 4 0132 0132 1302 3201 0 0 0 0 0 0 0 0 -1 0 0 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 -1 0 1 1 0 0 -1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274291428577 0.567648804338 3 3 5 2 2031 2310 2310 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 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 0.274291428577 0.567648804338 3 4 6 6 0132 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 1 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.521370866121 0.587808071506 6 5 5 6 3201 3201 0132 2310 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 -1 0 0 1 0 -1 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.462705251407 1.028898529778 ==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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : 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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 9062248310394198540/7553928724531319*c_0101_5^15 - 106531279147838248960/7553928724531319*c_0101_5^14 + 216500816646470684846/7553928724531319*c_0101_5^13 + 293096856899489959390/7553928724531319*c_0101_5^12 - 341692721410667320274/7553928724531319*c_0101_5^11 - 1071483570245100358733/7553928724531319*c_0101_5^10 + 452410673584262696696/7553928724531319*c_0101_5^9 + 414452975792518778404/7553928724531319*c_0101_5^8 - 1267997511706316712572/7553928724531319*c_0101_5^7 - 388284204958998770811/7553928724531319*c_0101_5^6 + 629438916841339106355/7553928724531319*c_0101_5^5 + 269840802838321276954/7553928724531319*c_0101_5^4 - 7108556459271694392/581071440348563*c_0101_5^3 - 19292292286395504398/7553928724531319*c_0101_5^2 + 31007872948342844214/7553928724531319*c_0101_5 - 5489360314024112326/7553928724531319, c_0011_0 - 1, c_0011_2 + 96421653593541118/581071440348563*c_0101_5^15 - 1134354695431703914/581071440348563*c_0101_5^14 + 2313561648304351670/581071440348563*c_0101_5^13 + 3100578442592865931/581071440348563*c_0101_5^12 - 3672492218374615445/581071440348563*c_0101_5^11 - 11365804390979158142/581071440348563*c_0101_5^10 + 4929763381530559502/581071440348563*c_0101_5^9 + 4378339878484694769/581071440348563*c_0101_5^8 - 13570946468648112437/581071440348563*c_0101_5^7 - 3990630878884222044/581071440348563*c_0101_5^6 + 6764376625927774974/581071440348563*c_0101_5^5 + 2780474911428979864/581071440348563*c_0101_5^4 - 1019211604630413952/581071440348563*c_0101_5^3 - 184527040877835577/581071440348563*c_0101_5^2 + 334707359610490955/581071440348563*c_0101_5 - 63356883363839298/581071440348563, c_0011_4 - 208452863452758408/581071440348563*c_0101_5^15 + 2455055898436869736/581071440348563*c_0101_5^14 - 5035469553304587302/581071440348563*c_0101_5^13 - 6613515221803454362/581071440348563*c_0101_5^12 + 7959249067159082810/581071440348563*c_0101_5^11 + 24460373312431741805/581071440348563*c_0101_5^10 - 10891961850950709091/581071440348563*c_0101_5^9 - 9165485939854596868/581071440348563*c_0101_5^8 + 29222283653270942694/581071440348563*c_0101_5^7 + 8345947877182027673/581071440348563*c_0101_5^6 - 14533223002798103663/581071440348563*c_0101_5^5 - 5911797759098642278/581071440348563*c_0101_5^4 + 2204435544299611644/581071440348563*c_0101_5^3 + 377627723219751538/581071440348563*c_0101_5^2 - 709669138157871887/581071440348563*c_0101_5 + 134465164049907835/581071440348563, c_0011_6 + 119433206370599944/581071440348563*c_0101_5^15 - 1406143308036153296/581071440348563*c_0101_5^14 + 2878984708351520938/581071440348563*c_0101_5^13 + 3806023566739511808/581071440348563*c_0101_5^12 - 4559189694419453596/581071440348563*c_0101_5^11 - 14034233150036656861/581071440348563*c_0101_5^10 + 6202043354547895090/581071440348563*c_0101_5^9 + 5309743724985945061/581071440348563*c_0101_5^8 - 16773697421970750294/581071440348563*c_0101_5^7 - 4827766005869937971/581071440348563*c_0101_5^6 + 8349715750047401449/581071440348563*c_0101_5^5 + 3400194296254626395/581071440348563*c_0101_5^4 - 1266321389840964958/581071440348563*c_0101_5^3 - 219230110012395359/581071440348563*c_0101_5^2 + 410041973463567200/581071440348563*c_0101_5 - 77870372622383179/581071440348563, c_0101_0 + 29461082859325604/581071440348563*c_0101_5^15 - 347693583934582678/581071440348563*c_0101_5^14 + 720743599191772420/581071440348563*c_0101_5^13 + 909340692312977514/581071440348563*c_0101_5^12 - 1125903151522104793/581071440348563*c_0101_5^11 - 3425958670084297908/581071440348563*c_0101_5^10 + 1596565331762903913/581071440348563*c_0101_5^9 + 1203661635701519940/581071440348563*c_0101_5^8 - 4087562064888462555/581071440348563*c_0101_5^7 - 1110577538551299523/581071440348563*c_0101_5^6 + 2015791608357521419/581071440348563*c_0101_5^5 + 810646882336495492/581071440348563*c_0101_5^4 - 309407591162987085/581071440348563*c_0101_5^3 - 47027830151091656/581071440348563*c_0101_5^2 + 96250978410811963/581071440348563*c_0101_5 - 17785448621381547/581071440348563, c_0101_1 - 206524182301701044/581071440348563*c_0101_5^15 + 2432113438621363206/581071440348563*c_0101_5^14 - 4986137818577293012/581071440348563*c_0101_5^13 - 6558668347652331208/581071440348563*c_0101_5^12 + 7881187067489726687/581071440348563*c_0101_5^11 + 24241550809883343342/581071440348563*c_0101_5^10 - 10768178709294058558/581071440348563*c_0101_5^9 - 9095634800866823561/581071440348563*c_0101_5^8 + 28954488944153120049/581071440348563*c_0101_5^7 + 8292899777784602352/581071440348563*c_0101_5^6 - 14396066823639387860/581071440348563*c_0101_5^5 - 5863363995596816878/581071440348563*c_0101_5^4 + 2178616906179612446/581071440348563*c_0101_5^3 + 373566056723783939/581071440348563*c_0101_5^2 - 703193031459280910/581071440348563*c_0101_5 + 133358362585196179/581071440348563, c_0101_5^16 - 11*c_0101_5^15 + 15*c_0101_5^14 + 101/2*c_0101_5^13 - 27/2*c_0101_5^12 - 147*c_0101_5^11 - 39*c_0101_5^10 + 169/2*c_0101_5^9 - 106*c_0101_5^8 - 149*c_0101_5^7 + 77/2*c_0101_5^6 + 165/2*c_0101_5^5 + 23/2*c_0101_5^4 - 10*c_0101_5^3 + 2*c_0101_5^2 + 2*c_0101_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB