Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 2463305396] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s104 geometric_solution 3.96785173 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 3201 0 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 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.696584686809 0.115765561271 0 0 2 2 0132 3201 2310 0132 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 1 -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 0 0 0 1.897684994251 0.648669081260 3 1 1 3 0132 3201 0132 1023 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 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.092427783734 0.409274367432 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.506395582698 0.308263702521 5 3 5 5 2031 0132 2103 3201 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520005971075 0.843343412224 4 4 4 3 2103 2310 1302 0132 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 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 0.520005971075 0.843343412224 ==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' : 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' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], '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_0110_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 227924590897684005587/6939611701224343059*c_0110_4^15 - 589301340606704063033/6939611701224343059*c_0110_4^14 - 396945081014246665265/2313203900408114353*c_0110_4^13 - 157598135700890507848/6939611701224343059*c_0110_4^12 + 14421381340841024107567/6939611701224343059*c_0110_4^11 - 18453142280122800241325/6939611701224343059*c_0110_4^10 - 45849661951355729291288/6939611701224343059*c_0110_4^9 + 57811455535670396780831/2313203900408114353*c_0110_4^8 + 41135788455821187045280/6939611701224343059*c_0110_4^7 - 324594316957907516231524/6939611701224343059*c_0110_4^6 - 5237943476775081134836/2313203900408114353*c_0110_4^5 + 72346830708687370015861/2313203900408114353*c_0110_4^4 + 6023451922950651649468/6939611701224343059*c_0110_4^3 - 52399909068987831782710/6939611701224343059*c_0110_4^2 - 2817728735457454747048/6939611701224343059*c_0110_4 + 3130790897370682327615/6939611701224343059, c_0011_0 - 1, c_0011_2 - 217692917288679651/2313203900408114353*c_0110_4^15 + 301222007284467709/2313203900408114353*c_0110_4^14 + 1769559624233364910/2313203900408114353*c_0110_4^13 + 1488092166581278060/2313203900408114353*c_0110_4^12 - 13014862571304405436/2313203900408114353*c_0110_4^11 + 1825291396489780495/2313203900408114353*c_0110_4^10 + 62627001688020711580/2313203900408114353*c_0110_4^9 - 118084333220937321489/2313203900408114353*c_0110_4^8 - 219089416432282855187/2313203900408114353*c_0110_4^7 + 254582330377218407371/2313203900408114353*c_0110_4^6 + 282151325762836231017/2313203900408114353*c_0110_4^5 - 156011827080640305944/2313203900408114353*c_0110_4^4 - 112760162141609962366/2313203900408114353*c_0110_4^3 + 32311475577915361548/2313203900408114353*c_0110_4^2 + 6576558858247844033/2313203900408114353*c_0110_4 - 1859402472898810626/2313203900408114353, c_0011_5 + 276690573901392148/2313203900408114353*c_0110_4^15 - 569955313814815759/2313203900408114353*c_0110_4^14 - 1850763499460798156/2313203900408114353*c_0110_4^13 - 750351971230940089/2313203900408114353*c_0110_4^12 + 17180266364261997858/2313203900408114353*c_0110_4^11 - 13591525853920169568/2313203900408114353*c_0110_4^10 - 69403061723135829561/2313203900408114353*c_0110_4^9 + 191299966768567512591/2313203900408114353*c_0110_4^8 + 152808438612086015260/2313203900408114353*c_0110_4^7 - 404499749737634962040/2313203900408114353*c_0110_4^6 - 136912640024429154368/2313203900408114353*c_0110_4^5 + 265255583352553377974/2313203900408114353*c_0110_4^4 + 39094608153602330530/2313203900408114353*c_0110_4^3 - 49112430701575399565/2313203900408114353*c_0110_4^2 - 2416560480335007146/2313203900408114353*c_0110_4 + 1436651124438059981/2313203900408114353, c_0101_0 - 274181503105438668/2313203900408114353*c_0110_4^15 + 764895127184362331/2313203900408114353*c_0110_4^14 + 1317968038765080967/2313203900408114353*c_0110_4^13 - 143644445013603087/2313203900408114353*c_0110_4^12 - 17607528222740932961/2313203900408114353*c_0110_4^11 + 25480292044549292856/2313203900408114353*c_0110_4^10 + 52243916420975023310/2313203900408114353*c_0110_4^9 - 220249464593744193266/2313203900408114353*c_0110_4^8 - 14120072212989754950/2313203900408114353*c_0110_4^7 + 415754334713246712581/2313203900408114353*c_0110_4^6 - 35851754320186394482/2313203900408114353*c_0110_4^5 - 283474155548089651447/2313203900408114353*c_0110_4^4 + 21992160719173148853/2313203900408114353*c_0110_4^3 + 63240649311815408436/2313203900408114353*c_0110_4^2 - 2674112798739938974/2313203900408114353*c_0110_4 - 1853817060820771319/2313203900408114353, c_0101_1 - 282021056151637283/2313203900408114353*c_0110_4^15 + 942777038223827398/2313203900408114353*c_0110_4^14 + 949568568672691485/2313203900408114353*c_0110_4^13 - 936395806434196947/2313203900408114353*c_0110_4^12 - 18269820468796161008/2313203900408114353*c_0110_4^11 + 35980183681716321235/2313203900408114353*c_0110_4^10 + 41065590698290624668/2313203900408114353*c_0110_4^9 - 256260068474890062635/2313203900408114353*c_0110_4^8 + 102557684688227598190/2313203900408114353*c_0110_4^7 + 449046347583747972595/2313203900408114353*c_0110_4^6 - 240090631709568042851/2313203900408114353*c_0110_4^5 - 299938458214544962365/2313203900408114353*c_0110_4^4 + 121299843386566831962/2313203900408114353*c_0110_4^3 + 66980713713184508919/2313203900408114353*c_0110_4^2 - 9499594393777713939/2313203900408114353*c_0110_4 - 1829992929553732292/2313203900408114353, c_0110_4^16 - 3*c_0110_4^15 - 4*c_0110_4^14 + c_0110_4^13 + 63*c_0110_4^12 - 107*c_0110_4^11 - 158*c_0110_4^10 + 827*c_0110_4^9 - 157*c_0110_4^8 - 1371*c_0110_4^7 + 484*c_0110_4^6 + 780*c_0110_4^5 - 277*c_0110_4^4 - 138*c_0110_4^3 + 35*c_0110_4^2 + 6*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB