Magma V2.19-8 Tue Aug 20 2013 23:57:19 on localhost [Seed = 3002391122] Type ? for help. Type -D to quit. Loading file "L14n32008__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32008 geometric_solution 11.56931097 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 1 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 0 -1 6 0 -5 -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 0.245627402063 0.755164482126 0 5 7 6 0132 0132 0132 0132 0 1 1 0 0 0 0 0 -1 0 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -6 0 0 6 0 -6 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389231765754 1.199277706444 6 0 9 8 3012 0132 0132 0132 0 0 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 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686432074308 1.259542551131 8 10 7 0 0321 0132 3120 0132 0 1 1 0 0 0 0 0 -1 0 0 1 -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 -5 0 0 5 -5 5 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610490039673 1.197521469523 10 11 0 5 0132 0132 0132 0132 0 1 1 0 0 0 0 0 1 0 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 1 -1 5 0 1 -6 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610490039673 1.197521469523 6 1 4 9 0321 0132 0132 1302 0 1 0 1 0 0 0 0 -1 0 1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -6 0 6 0 0 -1 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337197922916 0.662107046402 5 11 1 2 0321 0213 0132 1230 0 1 0 1 0 0 0 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 0 0 0 6 0 -6 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531592684236 0.485421197008 9 11 3 1 0321 2310 3120 0132 0 1 0 0 0 1 -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 0 0 0 0 1 -2 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167341168087 1.052847027071 3 10 2 11 0321 0213 0132 1230 0 0 1 1 0 0 -1 1 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 -2 2 0 0 0 0 5 -5 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553624945682 0.533099980598 7 10 5 2 0321 0321 2031 0132 0 0 0 1 0 0 -1 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 0 -1 1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462124166449 0.584328221999 4 3 8 9 0132 0132 0213 0321 0 1 0 1 0 0 0 0 -1 0 1 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 -5 0 5 0 0 2 0 -2 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245627402063 0.755164482126 8 4 6 7 3012 0132 0213 3201 0 0 0 1 0 0 0 0 -1 0 0 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 0 0 0 -2 0 0 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186118877321 0.747604032004 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_11'], 'c_1100_8' : d['c_0110_11'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0110_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_0011_6'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0011_8, c_0011_9, c_0101_3, c_0101_7, c_0110_11, c_1001_0, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 886317970183660/2495442428637*c_1001_2^9 + 12323484207498380/2495442428637*c_1001_2^8 - 33264177194610803/2495442428637*c_1001_2^7 - 127240734531028184/2495442428637*c_1001_2^6 + 139836333045192677/831814142879*c_1001_2^5 + 78092666150866228/2495442428637*c_1001_2^4 - 214220562265320464/831814142879*c_1001_2^3 - 285185431700145370/2495442428637*c_1001_2^2 + 33954354520950575/2495442428637*c_1001_2 - 1851669686708286/831814142879, c_0011_0 - 1, c_0011_10 + 57529531802/831814142879*c_1001_2^9 - 811401357852/831814142879*c_1001_2^8 + 2333808251384/831814142879*c_1001_2^7 + 7613602879192/831814142879*c_1001_2^6 - 28203231406831/831814142879*c_1001_2^5 + 2128393758509/831814142879*c_1001_2^4 + 34603176050112/831814142879*c_1001_2^3 + 13079638243693/831814142879*c_1001_2^2 + 3590542283417/831814142879*c_1001_2 + 592165148062/831814142879, c_0011_6 + 22230291874/831814142879*c_1001_2^9 - 298230409486/831814142879*c_1001_2^8 + 688532602863/831814142879*c_1001_2^7 + 3526385170061/831814142879*c_1001_2^6 - 8761075417728/831814142879*c_1001_2^5 - 6438800615359/831814142879*c_1001_2^4 + 12891498273433/831814142879*c_1001_2^3 + 15698804104892/831814142879*c_1001_2^2 + 4757757938492/831814142879*c_1001_2 - 156837390213/831814142879, c_0011_7 - 31018621418/831814142879*c_1001_2^9 + 442969751448/831814142879*c_1001_2^8 - 1334735795277/831814142879*c_1001_2^7 - 3894791945464/831814142879*c_1001_2^6 + 15964288200630/831814142879*c_1001_2^5 - 3710602125004/831814142879*c_1001_2^4 - 18870390780042/831814142879*c_1001_2^3 - 4271900455026/831814142879*c_1001_2^2 - 647610941947/831814142879*c_1001_2 - 110279274558/831814142879, c_0011_8 + 1, c_0011_9 - 111238566498/831814142879*c_1001_2^9 + 1558890374934/831814142879*c_1001_2^8 - 4360813069431/831814142879*c_1001_2^7 - 15281043627625/831814142879*c_1001_2^6 + 53707592393082/831814142879*c_1001_2^5 + 2034827678545/831814142879*c_1001_2^4 - 73374121913315/831814142879*c_1001_2^3 - 29740305788929/831814142879*c_1001_2^2 - 2911404049618/831814142879*c_1001_2 + 34767058664/831814142879, c_0101_3 + 54500115547/831814142879*c_1001_2^9 - 760054802539/831814142879*c_1001_2^8 + 2081475655922/831814142879*c_1001_2^7 + 7670651040577/831814142879*c_1001_2^6 - 25867628457712/831814142879*c_1001_2^5 - 3288104622617/831814142879*c_1001_2^4 + 36651025486714/831814142879*c_1001_2^3 + 17731844517388/831814142879*c_1001_2^2 + 1124147674755/831814142879*c_1001_2 - 502586322116/831814142879, c_0101_7 - 49365849980/831814142879*c_1001_2^9 + 679875948527/831814142879*c_1001_2^8 - 1763469474558/831814142879*c_1001_2^7 - 7308674853709/831814142879*c_1001_2^6 + 22316613770795/831814142879*c_1001_2^5 + 7399558216653/831814142879*c_1001_2^4 - 33831125721566/831814142879*c_1001_2^3 - 22253529669684/831814142879*c_1001_2^2 - 2385173079099/831814142879*c_1001_2 + 434805648436/831814142879, c_0110_11 - 5134265567/831814142879*c_1001_2^9 + 80178854012/831814142879*c_1001_2^8 - 318006181364/831814142879*c_1001_2^7 - 361976186868/831814142879*c_1001_2^6 + 3551014686917/831814142879*c_1001_2^5 - 4111453594036/831814142879*c_1001_2^4 - 2819899765148/831814142879*c_1001_2^3 + 4521685152296/831814142879*c_1001_2^2 + 1261025404344/831814142879*c_1001_2 + 67780673680/831814142879, c_1001_0 + 62159597901/831814142879*c_1001_2^9 - 884306009598/831814142879*c_1001_2^8 + 2620530467010/831814142879*c_1001_2^7 + 8041761908877/831814142879*c_1001_2^6 - 31903064991152/831814142879*c_1001_2^5 + 5120017321535/831814142879*c_1001_2^4 + 42175425380203/831814142879*c_1001_2^3 + 7080296661043/831814142879*c_1001_2^2 - 3312708208067/831814142879*c_1001_2 - 471731547942/831814142879, c_1001_11 - 54213234164/831814142879*c_1001_2^9 + 754763219348/831814142879*c_1001_2^8 - 2058288783785/831814142879*c_1001_2^7 - 7601257905616/831814142879*c_1001_2^6 + 25355542088847/831814142879*c_1001_2^5 + 3043391406044/831814142879*c_1001_2^4 - 34018596298260/831814142879*c_1001_2^3 - 18138323975590/831814142879*c_1001_2^2 - 4131272710462/831814142879*c_1001_2 - 369183815598/831814142879, c_1001_2^10 - 14*c_1001_2^9 + 39*c_1001_2^8 + 138*c_1001_2^7 - 481*c_1001_2^6 - 26*c_1001_2^5 + 660*c_1001_2^4 + 276*c_1001_2^3 + 25*c_1001_2^2 - 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB