Magma V2.19-8 Tue Aug 20 2013 18:11:22 on localhost [Seed = 1309668757] Type ? for help. Type -D to quit. Loading file "11_289__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_289 geometric_solution 13.12897618 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008526276163 0.923005943893 0 5 7 6 0132 0132 0132 0132 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 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416601075413 0.741413760729 7 0 9 8 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008526276163 0.923005943893 10 6 9 0 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193784032174 0.512009886805 8 5 0 11 0213 1302 0132 0132 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 1 -1 0 0 0 0 0 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349962686048 0.698979843878 7 1 8 4 0132 0132 0213 2031 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 1 -1 -1 -3 0 4 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818212942936 1.401430546383 12 3 1 8 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650704948215 0.594028609349 5 2 11 1 0132 1023 3012 0132 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 0 0 0 0 0 0 0 -3 0 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416601075413 0.741413760729 4 5 2 6 0213 0213 0132 0213 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 -1 1 0 0 0 0 0 0 -1 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349962686048 0.698979843878 13 11 3 2 0132 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193784032174 0.512009886805 3 13 12 13 0132 2310 0132 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 -1 1 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 -0.184086207342 1.408286094035 12 7 4 9 2103 1230 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735548438136 1.250910408214 6 13 11 10 0132 3201 2103 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 0 1 -1 -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 0.612169937409 0.825581092854 9 10 12 10 0132 2310 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 1 -1 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 -0.184086207342 1.408286094035 ==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_0101_3'], 'c_1001_13' : negation(d['c_0101_3']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : negation(d['c_0101_3']), 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 'c_0101_13' : negation(d['c_0011_11']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_13' : 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_1100_8' : d['c_1001_3'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : negation(d['c_0011_13']), 'c_1100_13' : negation(d['c_0011_10']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_4'], '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_0'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_1001_11']), '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' : negation(d['c_0011_13']), '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' : negation(d['c_0011_13']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_10'], '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_0011_13'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : negation(d['c_0101_3']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0011_8'], 's_3_12' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_2_8' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_4, c_0011_8, c_0101_0, c_0101_11, c_0101_3, c_0101_7, c_1001_0, c_1001_11, c_1001_3, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 185389206200770682/40481028361*c_1001_9^8 + 1066828812530847712/40481028361*c_1001_9^7 - 5376173186061166523/40481028361*c_1001_9^6 + 3445977772523215007/40481028361*c_1001_9^5 - 2207771148033741620/40481028361*c_1001_9^4 + 1189194918384190383/40481028361*c_1001_9^3 - 481381225119298747/40481028361*c_1001_9^2 + 87843342356475224/40481028361*c_1001_9 - 43659769906835947/40481028361, c_0011_0 - 1, c_0011_10 + 159451896831/40481028361*c_1001_9^8 - 968214427858/40481028361*c_1001_9^7 + 4922614398818/40481028361*c_1001_9^6 - 4471693620133/40481028361*c_1001_9^5 + 3031282779821/40481028361*c_1001_9^4 - 1669827630093/40481028361*c_1001_9^3 + 638544119690/40481028361*c_1001_9^2 - 135547669791/40481028361*c_1001_9 + 23356694181/40481028361, c_0011_11 - 342986501418/40481028361*c_1001_9^8 + 2072788700173/40481028361*c_1001_9^7 - 10491743865913/40481028361*c_1001_9^6 + 9081549575591/40481028361*c_1001_9^5 - 5074425917411/40481028361*c_1001_9^4 + 2247669279450/40481028361*c_1001_9^3 - 948710443050/40481028361*c_1001_9^2 + 175987473678/40481028361*c_1001_9 - 30240539933/40481028361, c_0011_13 - 159451896831/40481028361*c_1001_9^8 + 968214427858/40481028361*c_1001_9^7 - 4922614398818/40481028361*c_1001_9^6 + 4471693620133/40481028361*c_1001_9^5 - 3031282779821/40481028361*c_1001_9^4 + 1669827630093/40481028361*c_1001_9^3 - 638544119690/40481028361*c_1001_9^2 + 135547669791/40481028361*c_1001_9 - 23356694181/40481028361, c_0011_4 + 121038487374/40481028361*c_1001_9^8 - 736683868808/40481028361*c_1001_9^7 + 3734004423746/40481028361*c_1001_9^6 - 3372653775680/40481028361*c_1001_9^5 + 1977175092444/40481028361*c_1001_9^4 - 1104927212335/40481028361*c_1001_9^3 + 496313246807/40481028361*c_1001_9^2 - 90724455700/40481028361*c_1001_9 + 22697979535/40481028361, c_0011_8 - 121038487374/40481028361*c_1001_9^8 + 736683868808/40481028361*c_1001_9^7 - 3734004423746/40481028361*c_1001_9^6 + 3372653775680/40481028361*c_1001_9^5 - 1977175092444/40481028361*c_1001_9^4 + 1104927212335/40481028361*c_1001_9^3 - 496313246807/40481028361*c_1001_9^2 + 90724455700/40481028361*c_1001_9 - 22697979535/40481028361, c_0101_0 - 342986501418/40481028361*c_1001_9^8 + 2072788700173/40481028361*c_1001_9^7 - 10491743865913/40481028361*c_1001_9^6 + 9081549575591/40481028361*c_1001_9^5 - 5074425917411/40481028361*c_1001_9^4 + 2247669279450/40481028361*c_1001_9^3 - 948710443050/40481028361*c_1001_9^2 + 175987473678/40481028361*c_1001_9 - 30240539933/40481028361, c_0101_11 + 181317471727/40481028361*c_1001_9^8 - 1141383721334/40481028361*c_1001_9^7 + 5769000405809/40481028361*c_1001_9^6 - 5888959353832/40481028361*c_1001_9^5 + 2345118425393/40481028361*c_1001_9^4 - 851119558454/40481028361*c_1001_9^3 + 291604886455/40481028361*c_1001_9^2 - 1621246993/40481028361*c_1001_9 - 43016166477/40481028361, c_0101_3 - 107770057448/40481028361*c_1001_9^8 + 535765251068/40481028361*c_1001_9^7 - 2606553909371/40481028361*c_1001_9^6 - 627993870668/40481028361*c_1001_9^5 + 1195993596840/40481028361*c_1001_9^4 - 684582665683/40481028361*c_1001_9^3 + 253744227792/40481028361*c_1001_9^2 - 158719484309/40481028361*c_1001_9 + 18454809693/40481028361, c_0101_7 + 132236636356/40481028361*c_1001_9^8 - 765459353243/40481028361*c_1001_9^7 + 3843029336678/40481028361*c_1001_9^6 - 2471902100910/40481028361*c_1001_9^5 + 1062575348871/40481028361*c_1001_9^4 - 155555153672/40481028361*c_1001_9^3 - 21818431085/40481028361*c_1001_9^2 + 38990838909/40481028361*c_1001_9 - 18172946680/40481028361, c_1001_0 - 132236636356/40481028361*c_1001_9^8 + 765459353243/40481028361*c_1001_9^7 - 3843029336678/40481028361*c_1001_9^6 + 2471902100910/40481028361*c_1001_9^5 - 1062575348871/40481028361*c_1001_9^4 + 155555153672/40481028361*c_1001_9^3 + 21818431085/40481028361*c_1001_9^2 - 38990838909/40481028361*c_1001_9 + 18172946680/40481028361, c_1001_11 + 132414293054/40481028361*c_1001_9^8 - 848776924800/40481028361*c_1001_9^7 + 4307901456540/40481028361*c_1001_9^6 - 4782346391380/40481028361*c_1001_9^5 + 2194234417979/40481028361*c_1001_9^4 - 887201585893/40481028361*c_1001_9^3 + 334103936065/40481028361*c_1001_9^2 - 54794881021/40481028361*c_1001_9 - 4974459674/40481028361, c_1001_3 + c_1001_9, c_1001_9^9 - 6*c_1001_9^8 + 517/17*c_1001_9^7 - 437/17*c_1001_9^6 + 280/17*c_1001_9^5 - 159/17*c_1001_9^4 + 71/17*c_1001_9^3 - 19/17*c_1001_9^2 + 6/17*c_1001_9 - 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 29.740 Total time: 29.949 seconds, Total memory usage: 139.28MB