Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 1764291613] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2907 geometric_solution 6.11308841 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.707496261214 1.039047399945 0 5 5 2 0132 0132 3201 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 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 0.279724077314 0.537538854176 1 0 5 3 3201 0132 3120 1302 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 -0.215317317446 1.444750721645 5 4 2 0 3012 3120 2031 0132 0 0 0 0 0 0 1 -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 0 0 0 1 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 0.552265860180 0.657553996185 6 3 0 6 0132 3120 0132 1023 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 0 0 0 0 0 0 0.834009069671 0.532070446269 1 1 2 3 2310 0132 3120 1230 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 1 -1 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 0.238210869754 1.463911366259 4 6 6 4 0132 3201 2310 1023 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 1.231943491195 0.371385781832 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0110_2']})} 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_3, c_0011_4, c_0101_0, c_0101_3, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 34032590320849524889631/117903653336963864260*c_0110_2^19 + 190859609693375401539127/117903653336963864260*c_0110_2^18 - 388085157848570758267067/117903653336963864260*c_0110_2^17 + 575180222804929258906969/117903653336963864260*c_0110_2^16 - 620242843633904750232151/117903653336963864260*c_0110_2^15 + 272280468674709826244762/29475913334240966065*c_0110_2^14 - 2361538256329650441651461/117903653336963864260*c_0110_2^13 + 1667979252576490366497269/117903653336963864260*c_0110_2^12 - 1478730378279335989942187/117903653336963864260*c_0110_2^11 + 21361017780040571245631/3467754509910701890*c_0110_2^10 - 99738914606402837780805/23580730667392772852*c_0110_2^9 + 5376820593636625499892709/117903653336963864260*c_0110_2^8 + 212595806930186645115977/6935509019821403780*c_0110_2^7 - 769981741845123080329141/5895182666848193213*c_0110_2^6 + 57515336709918048880653/117903653336963864260*c_0110_2^5 + 6172063763852734735663493/58951826668481932130*c_0110_2^4 - 177698235745189378890193/11790365333696386426*c_0110_2^3 - 846069234751437386131843/23580730667392772852*c_0110_2^2 + 614756720241570189045383/117903653336963864260*c_0110_2 + 155493046170604947133557/29475913334240966065, c_0011_0 - 1, c_0011_3 + 447148090920952562/31525040999188199*c_0110_2^19 - 2477090394362163402/31525040999188199*c_0110_2^18 + 4916528124050868662/31525040999188199*c_0110_2^17 - 7136017190348210280/31525040999188199*c_0110_2^16 + 7444295073176142461/31525040999188199*c_0110_2^15 - 13428582230477523428/31525040999188199*c_0110_2^14 + 29620294376244264353/31525040999188199*c_0110_2^13 - 19165741161685872418/31525040999188199*c_0110_2^12 + 16707862384352584406/31525040999188199*c_0110_2^11 - 6775624123092118020/31525040999188199*c_0110_2^10 + 4611069751565120155/31525040999188199*c_0110_2^9 - 69078936232548450142/31525040999188199*c_0110_2^8 - 53001855014868648015/31525040999188199*c_0110_2^7 + 201322418719810344464/31525040999188199*c_0110_2^6 + 12398380495477621987/31525040999188199*c_0110_2^5 - 167934748953442090258/31525040999188199*c_0110_2^4 + 16677308008666138737/31525040999188199*c_0110_2^3 + 59820249266568140244/31525040999188199*c_0110_2^2 - 7163520592196779743/31525040999188199*c_0110_2 - 8960157597708588448/31525040999188199, c_0011_4 + 311940529723615311/63050081998376398*c_0110_2^19 - 865053315572592039/31525040999188199*c_0110_2^18 + 1719954069402498886/31525040999188199*c_0110_2^17 - 2497920893904712611/31525040999188199*c_0110_2^16 + 2611891500677911682/31525040999188199*c_0110_2^15 - 9407054362455693779/63050081998376398*c_0110_2^14 + 20746771571946091141/63050081998376398*c_0110_2^13 - 6760868104186143059/31525040999188199*c_0110_2^12 + 5877240314288665129/31525040999188199*c_0110_2^11 - 4926499389373367203/63050081998376398*c_0110_2^10 + 3358918585783416047/63050081998376398*c_0110_2^9 - 24198909446248367773/31525040999188199*c_0110_2^8 - 18267537481970864477/31525040999188199*c_0110_2^7 + 140723494990763247335/63050081998376398*c_0110_2^6 + 8290578749045104747/63050081998376398*c_0110_2^5 - 117624598254544565013/63050081998376398*c_0110_2^4 + 5863838458971438653/31525040999188199*c_0110_2^3 + 42198984326711770571/63050081998376398*c_0110_2^2 - 2507776951314356796/31525040999188199*c_0110_2 - 6411457262675539351/63050081998376398, c_0101_0 - 241349939757400592/31525040999188199*c_0110_2^19 + 1339343396683248166/31525040999188199*c_0110_2^18 - 2664536281138684660/31525040999188199*c_0110_2^17 + 3867110345808521965/31525040999188199*c_0110_2^16 - 4038472321137519626/31525040999188199*c_0110_2^15 + 7262889830196636253/31525040999188199*c_0110_2^14 - 16035704525239204484/31525040999188199*c_0110_2^13 + 10447789111459248538/31525040999188199*c_0110_2^12 - 9011364577696880830/31525040999188199*c_0110_2^11 + 3716773569723215031/31525040999188199*c_0110_2^10 - 2453870685326518404/31525040999188199*c_0110_2^9 + 37322059351163769509/31525040999188199*c_0110_2^8 + 28276107533401702970/31525040999188199*c_0110_2^7 - 109225900235021474877/31525040999188199*c_0110_2^6 - 6067140040057262814/31525040999188199*c_0110_2^5 + 91351039192465216591/31525040999188199*c_0110_2^4 - 9487704826179506866/31525040999188199*c_0110_2^3 - 32650961774691075777/31525040999188199*c_0110_2^2 + 4007137038999035850/31525040999188199*c_0110_2 + 4887103959131289983/31525040999188199, c_0101_3 + 1, c_0101_6 + 892337341901851539/31525040999188199*c_0110_2^19 - 4962177653204346429/31525040999188199*c_0110_2^18 + 9922650133996089489/31525040999188199*c_0110_2^17 - 14494302758045085306/31525040999188199*c_0110_2^16 + 15282424690246362178/31525040999188199*c_0110_2^15 - 27331836250104826465/31525040999188199*c_0110_2^14 + 59973996591526386937/31525040999188199*c_0110_2^13 - 39921275577087851469/31525040999188199*c_0110_2^12 + 34969309879837329867/31525040999188199*c_0110_2^11 - 15246067208063481054/31525040999188199*c_0110_2^10 + 10379211555146859913/31525040999188199*c_0110_2^9 - 138860498710665935671/31525040999188199*c_0110_2^8 - 102376995428993848098/31525040999188199*c_0110_2^7 + 402581527343288673228/31525040999188199*c_0110_2^6 + 16983568532488786136/31525040999188199*c_0110_2^5 - 331908637838345628308/31525040999188199*c_0110_2^4 + 36957172088327889744/31525040999188199*c_0110_2^3 + 117112607502929366589/31525040999188199*c_0110_2^2 - 14750643957280068421/31525040999188199*c_0110_2 - 17485052790276489972/31525040999188199, c_0110_2^20 - 5*c_0110_2^19 + 8*c_0110_2^18 - 10*c_0110_2^17 + 8*c_0110_2^16 - 21*c_0110_2^15 + 50*c_0110_2^14 - 7*c_0110_2^13 + 14*c_0110_2^12 + 5*c_0110_2^11 + 2*c_0110_2^10 - 149*c_0110_2^9 - 202*c_0110_2^8 + 387*c_0110_2^7 + 272*c_0110_2^6 - 362*c_0110_2^5 - 167*c_0110_2^4 + 155*c_0110_2^3 + 57*c_0110_2^2 - 29*c_0110_2 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB