Magma V2.19-8 Wed Aug 21 2013 00:57:11 on localhost [Seed = 2328662111] Type ? for help. Type -D to quit. Loading file "L13n3926__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3926 geometric_solution 12.32611840 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 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 1 -1 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 0.682754225787 0.536054365047 0 0 5 4 0132 1302 0132 0132 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 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 0.093898705082 0.711412007381 6 0 6 7 0132 0132 3012 0132 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 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 0.881360791030 0.741078300425 8 9 8 0 0132 0132 2031 0132 1 1 1 1 0 -1 1 0 -1 0 1 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 -2 3 -1 -3 0 3 0 0 -1 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416568160921 0.827684201704 10 6 1 11 0132 0213 0132 0132 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 0 0 0 0 0 0 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 0.403711163490 1.359405778589 12 12 10 1 0132 1230 3012 0132 1 1 0 1 0 0 0 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 0 0 0 0 0 -1 1 0 -2 0 2 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 0.313865331730 1.256508576976 2 2 4 12 0132 1230 0213 2031 1 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 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 0.210624962417 1.315666132054 12 9 2 8 3120 0213 0132 2031 1 1 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 0 0 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549150026584 0.682713327297 3 7 10 3 0132 1302 0132 1302 1 1 1 1 0 1 0 -1 1 0 0 -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 3 0 -3 3 0 0 -3 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441964318788 0.639992668906 11 3 7 11 1023 0132 0213 2310 1 1 1 1 0 1 0 -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 2 0 -2 0 0 0 0 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404100774909 0.711492691511 4 5 11 8 0132 1230 1230 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 -2 2 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 0.993995410722 0.497349637878 9 9 4 10 3201 1023 0132 3012 1 1 1 1 0 0 0 0 1 0 0 -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 0 0 0 0 2 0 0 -2 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744003817813 1.523658737753 5 6 5 7 0132 1302 3012 3120 1 1 1 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 0 0 0 2 0 1 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812877477615 0.749114446718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_0101_3'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : 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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0011_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 146621832298549340410778913/13152008442247289252*c_1001_4^11 - 3114933599262158229941768979/85488054874607380138*c_1001_4^10 + 16023813232941975377124719585/170976109749214760276*c_1001_4^9 - 6455926566663048935074128199/42744027437303690069*c_1001_4^8 + 33242860036585062168726687125/170976109749214760276*c_1001_4^7 - 31709415127376275331338898087/170976109749214760276*c_1001_4^6 + 22974702577603616868202892689/170976109749214760276*c_1001_4^5 - 12995712397479163110470197729/170976109749214760276*c_1001_4^4 + 2069076069994456659403177607/85488054874607380138*c_1001_4^3 - 1417847332558976326721735039/170976109749214760276*c_1001_4^2 - 142205077141917987895156817/85488054874607380138*c_1001_4 - 24066594203161838375964656/42744027437303690069, c_0011_0 - 1, c_0011_10 - 5821056584028/18857440084433*c_1001_4^11 + 299142516893894/245146721097629*c_1001_4^10 - 179293120167965/245146721097629*c_1001_4^9 - 981319550999261/245146721097629*c_1001_4^8 + 3832996971406147/245146721097629*c_1001_4^7 - 6770835418685914/245146721097629*c_1001_4^6 + 7755071664245030/245146721097629*c_1001_4^5 - 5861111375031369/245146721097629*c_1001_4^4 + 2602367576588174/245146721097629*c_1001_4^3 - 310737943161884/245146721097629*c_1001_4^2 - 190634079405659/245146721097629*c_1001_4 + 141885161277975/245146721097629, c_0011_11 - 98317718204661/18857440084433*c_1001_4^11 + 3287303967131739/245146721097629*c_1001_4^10 - 7884498540126763/245146721097629*c_1001_4^9 + 9719111443523587/245146721097629*c_1001_4^8 - 9299856866922403/245146721097629*c_1001_4^7 + 3773033802902980/245146721097629*c_1001_4^6 + 2593272379503042/245146721097629*c_1001_4^5 - 5074537258283731/245146721097629*c_1001_4^4 + 5456410227881285/245146721097629*c_1001_4^3 - 2108859684349296/245146721097629*c_1001_4^2 + 1037676735119831/245146721097629*c_1001_4 - 98164743544404/245146721097629, c_0011_12 + 55013249812923/18857440084433*c_1001_4^11 - 697666247098413/245146721097629*c_1001_4^10 - 105552399140791/245146721097629*c_1001_4^9 + 4412495179177672/245146721097629*c_1001_4^8 - 8678511109892173/245146721097629*c_1001_4^7 + 10648106600256811/245146721097629*c_1001_4^6 - 7735797738565592/245146721097629*c_1001_4^5 + 2305381009198467/245146721097629*c_1001_4^4 + 1158260478287088/245146721097629*c_1001_4^3 - 2090656459281887/245146721097629*c_1001_4^2 + 1001225037340686/245146721097629*c_1001_4 - 164175973310877/245146721097629, c_0011_7 - 116875801835856/18857440084433*c_1001_4^11 + 4316672055197466/245146721097629*c_1001_4^10 - 8518342277004199/245146721097629*c_1001_4^9 + 9059309606459758/245146721097629*c_1001_4^8 - 4090531656045489/245146721097629*c_1001_4^7 - 4733622321302141/245146721097629*c_1001_4^6 + 11942329809035718/245146721097629*c_1001_4^5 - 11979545631787666/245146721097629*c_1001_4^4 + 8191136338110569/245146721097629*c_1001_4^3 - 3216697231837083/245146721097629*c_1001_4^2 + 980381690947486/245146721097629*c_1001_4 - 169126574527973/245146721097629, c_0101_0 - 1, c_0101_1 + 161486393482197/18857440084433*c_1001_4^11 - 7053882266295040/245146721097629*c_1001_4^10 + 17382653272112798/245146721097629*c_1001_4^9 - 27651199806206933/245146721097629*c_1001_4^8 + 34545914464179446/245146721097629*c_1001_4^7 - 33141574252668948/245146721097629*c_1001_4^6 + 24521295415617444/245146721097629*c_1001_4^5 - 15122376794639420/245146721097629*c_1001_4^4 + 6431040837439697/245146721097629*c_1001_4^3 - 2954899593141731/245146721097629*c_1001_4^2 + 950854079408173/245146721097629*c_1001_4 - 321471833745563/245146721097629, c_0101_10 - 134090543459214/18857440084433*c_1001_4^11 + 6700442148010202/245146721097629*c_1001_4^10 - 19197495225317234/245146721097629*c_1001_4^9 + 36053389156273302/245146721097629*c_1001_4^8 - 53470322346281987/245146721097629*c_1001_4^7 + 60278499661834780/245146721097629*c_1001_4^6 - 52597285305912505/245146721097629*c_1001_4^5 + 35328935412480509/245146721097629*c_1001_4^4 - 15919981708522968/245146721097629*c_1001_4^3 + 5185900379631089/245146721097629*c_1001_4^2 - 202037030414107/245146721097629*c_1001_4 - 51384157862563/245146721097629, c_0101_3 - 175119442593651/18857440084433*c_1001_4^11 + 8428726159917776/245146721097629*c_1001_4^10 - 21863054138427409/245146721097629*c_1001_4^9 + 37631183519546598/245146721097629*c_1001_4^8 - 49732950587017387/245146721097629*c_1001_4^7 + 50062819416261453/245146721097629*c_1001_4^6 - 38541540696238442/245146721097629*c_1001_4^5 + 22665810048156000/245146721097629*c_1001_4^4 - 8967178298932056/245146721097629*c_1001_4^3 + 2609810577138020/245146721097629*c_1001_4^2 - 102149443092963/245146721097629*c_1001_4 + 137962663008519/245146721097629, c_0101_5 + 95565030678522/18857440084433*c_1001_4^11 - 6510333895801083/245146721097629*c_1001_4^10 + 16421275491951574/245146721097629*c_1001_4^9 - 27861813934504203/245146721097629*c_1001_4^8 + 31612502933929276/245146721097629*c_1001_4^7 - 24260003793796232/245146721097629*c_1001_4^6 + 10079650807016454/245146721097629*c_1001_4^5 + 1510997188345362/245146721097629*c_1001_4^4 - 4793807601086518/245146721097629*c_1001_4^3 + 3329268440033893/245146721097629*c_1001_4^2 - 974766931245904/245146721097629*c_1001_4 + 10065645407808/245146721097629, c_1001_0 + 76456324686015/18857440084433*c_1001_4^11 - 4988884839035245/245146721097629*c_1001_4^10 + 12870068551884822/245146721097629*c_1001_4^9 - 23387610924093405/245146721097629*c_1001_4^8 + 30345778751296233/245146721097629*c_1001_4^7 - 30199689831124057/245146721097629*c_1001_4^6 + 22474645133190985/245146721097629*c_1001_4^5 - 12273514119804579/245146721097629*c_1001_4^4 + 4848005520411319/245146721097629*c_1001_4^3 - 1022614390309509/245146721097629*c_1001_4^2 + 288991541389406/245146721097629*c_1001_4 + 111303835795537/245146721097629, c_1001_10 - 121637524654575/18857440084433*c_1001_4^11 + 4466051544442809/245146721097629*c_1001_4^10 - 10619308334002637/245146721097629*c_1001_4^9 + 15958176936650638/245146721097629*c_1001_4^8 - 20371975426564673/245146721097629*c_1001_4^7 + 20538942099990215/245146721097629*c_1001_4^6 - 16766433133612289/245146721097629*c_1001_4^5 + 12151320944893425/245146721097629*c_1001_4^4 - 6281813089201419/245146721097629*c_1001_4^3 + 3690438481240308/245146721097629*c_1001_4^2 - 1272325913153736/245146721097629*c_1001_4 + 285585968527297/245146721097629, c_1001_4^12 - 422/117*c_1001_4^11 + 371/39*c_1001_4^10 - 1918/117*c_1001_4^9 + 859/39*c_1001_4^8 - 293/13*c_1001_4^7 + 2069/117*c_1001_4^6 - 425/39*c_1001_4^5 + 524/117*c_1001_4^4 - 173/117*c_1001_4^3 + 4/39*c_1001_4^2 + 2/117 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.510 Total time: 0.720 seconds, Total memory usage: 32.09MB