Magma V2.19-8 Tue Aug 20 2013 23:38:37 on localhost [Seed = 307525153] Type ? for help. Type -D to quit. Loading file "L10a75__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a75 geometric_solution 8.69338342 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 1230 1 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 0 0 0 0 1 0 -1 -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 0 0 0 0.233278076289 0.687228089238 0 4 3 5 0132 0132 2103 0132 1 1 1 0 0 0 0 0 -1 0 1 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 2 0 -3 1 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765161425408 0.492029908585 0 0 7 6 3012 0132 0132 0132 1 1 1 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 -1 0 1 1 0 -1 0 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723223668745 0.648239739327 1 8 6 0 2103 0132 1302 0132 1 1 1 0 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 3 0 -3 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.688313201879 0.672464036431 6 1 8 8 1023 0132 1023 3120 1 1 0 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 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 0.869217314693 0.557117514411 9 8 1 7 0132 0321 0132 3120 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 -1 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481689166236 0.710227075561 3 4 2 9 2031 1023 0132 2031 1 1 0 1 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 -1 1 0 0 0 0 -1 1 0 0 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927991315372 0.501692569486 5 9 9 2 3120 1230 0132 0132 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 -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 -0.276776331255 0.648239739327 4 3 4 5 3120 0132 1023 0321 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422938583132 0.897644242069 5 6 7 7 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.065608647423 0.988621086164 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0101_4'], 's_2_8' : d['1'], 's_2_9' : 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_2_6' : d['1'], 's_2_7' : 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_1100_9' : negation(d['c_1001_7']), 'c_1100_8' : d['c_0101_8'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_1001_7']), 'c_1100_6' : negation(d['c_1001_7']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_1001_7']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : negation(d['c_0011_7']), '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'], '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_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_2, c_0101_4, c_0101_6, c_0101_8, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 141532/429*c_1001_7^8 - 70015/39*c_1001_7^7 - 584871/143*c_1001_7^6 - 172927/39*c_1001_7^5 - 119671/429*c_1001_7^4 + 318405/143*c_1001_7^3 + 51656/13*c_1001_7^2 - 1513024/429*c_1001_7 + 28346/39, c_0011_0 - 1, c_0011_3 + 5*c_1001_7^8 + 26*c_1001_7^7 + 55*c_1001_7^6 + 50*c_1001_7^5 - 17*c_1001_7^4 - 40*c_1001_7^3 - 52*c_1001_7^2 + 71*c_1001_7 - 18, c_0011_5 + c_1001_7^8 + 2*c_1001_7^7 - 8*c_1001_7^6 - 39*c_1001_7^5 - 70*c_1001_7^4 - 42*c_1001_7^3 - 4*c_1001_7^2 + 56*c_1001_7 - 18, c_0011_7 - 11*c_1001_7^8 - 62*c_1001_7^7 - 149*c_1001_7^6 - 180*c_1001_7^5 - 52*c_1001_7^4 + 54*c_1001_7^3 + 138*c_1001_7^2 - 90*c_1001_7 + 14, c_0101_0 - 1, c_0101_2 + 15*c_1001_7^8 + 83*c_1001_7^7 + 194*c_1001_7^6 + 222*c_1001_7^5 + 40*c_1001_7^4 - 88*c_1001_7^3 - 184*c_1001_7^2 + 142*c_1001_7 - 26, c_0101_4 - 23*c_1001_7^8 - 127*c_1001_7^7 - 296*c_1001_7^6 - 337*c_1001_7^5 - 57*c_1001_7^4 + 137*c_1001_7^3 + 282*c_1001_7^2 - 221*c_1001_7 + 41, c_0101_6 - 8*c_1001_7^8 - 44*c_1001_7^7 - 102*c_1001_7^6 - 115*c_1001_7^5 - 17*c_1001_7^4 + 49*c_1001_7^3 + 98*c_1001_7^2 - 79*c_1001_7 + 15, c_0101_8 - 5*c_1001_7^8 - 26*c_1001_7^7 - 55*c_1001_7^6 - 50*c_1001_7^5 + 17*c_1001_7^4 + 40*c_1001_7^3 + 52*c_1001_7^2 - 71*c_1001_7 + 19, c_1001_7^9 + 5*c_1001_7^8 + 10*c_1001_7^7 + 8*c_1001_7^6 - 5*c_1001_7^5 - 7*c_1001_7^4 - 9*c_1001_7^3 + 16*c_1001_7^2 - 7*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB