Magma V2.19-8 Tue Aug 20 2013 17:59:59 on localhost [Seed = 3103329346] Type ? for help. Type -D to quit. Loading file "10^3_34__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_34 geometric_solution 12.97693797 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 0 0 2 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 0 0 0 0 1 0 -1 0 0 -1 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894448724536 2.345791362613 0 4 6 5 0132 1023 0132 0132 0 0 1 2 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 2 -1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151387818866 0.529015468612 3 0 8 7 1023 0132 0132 0132 0 0 1 2 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 -1 0 1 0 0 0 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 0.555310898114 0.831642835859 4 2 9 0 1023 1023 0132 0132 0 0 1 2 0 0 0 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 1 0 -2 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 0.213971154718 0.506943766783 1 3 0 5 1023 1023 0132 1230 0 0 1 2 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 -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 0 0 0 0 -0.079330128302 1.313173514015 4 10 1 9 3012 0132 0132 3012 0 0 0 1 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 1 -1 0 0 0 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708816332075 0.717081089657 11 10 12 1 0132 3012 0132 0132 0 0 2 1 0 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 2 0 -2 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 -0.000000000000 1.517489913552 11 13 2 8 3012 0132 0132 1302 0 0 0 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.151387818866 0.988474444940 13 9 7 2 2310 1023 2031 0132 0 0 2 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737990384906 0.674811226778 8 12 5 3 1023 1230 1230 0132 0 0 2 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -2 2 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319522430182 0.641703674035 6 5 11 12 1230 0132 0321 0321 0 2 1 0 0 0 0 0 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 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.582406467239 6 13 10 7 0132 0321 0321 1230 0 0 1 2 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348612181134 0.559220969810 13 10 9 6 0321 0321 3012 0132 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197224362268 0.888712451457 12 7 8 11 0321 0132 3201 0321 0 2 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 0 0 0 0 0 -1 1 0 0 0 -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 0.383795939622 0.988474444940 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_13' : negation(d['c_0101_8']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_9'], 'c_1010_13' : d['c_0101_7'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_10']), '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_1'], 'c_0101_10' : negation(d['c_0101_1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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_0101_8'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_9']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_5'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0011_8']), 'c_1100_13' : negation(d['c_0011_8']), 's_0_11' : negation(d['1']), 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_9']), 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_3'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_9']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0101_13' : negation(d['c_0101_12']), 'c_0110_6' : d['c_0101_1'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_13']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_13' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_13']), 'c_1010_4' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : negation(d['c_0011_13']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_13']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : negation(d['c_0101_9']), 'c_0011_10' : d['c_0011_10']})} 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_8, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_0101_8, c_0101_9, c_0110_5, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 330444320604829/6245696702*c_1001_9^7 + 8186458180011513/78071208775*c_1001_9^6 - 25513609449240231/156142417550*c_1001_9^5 + 38222004732672281/156142417550*c_1001_9^4 - 7699037414268111/31228483510*c_1001_9^3 + 10692249686904017/78071208775*c_1001_9^2 - 7638299516835699/156142417550*c_1001_9 + 209476185927919/11153029825, c_0011_0 - 1, c_0011_10 - c_1001_9 + 1, c_0011_11 + 11876550/1202483*c_1001_9^7 - 45734831/2404966*c_1001_9^6 + 33525864/1202483*c_1001_9^5 - 100075217/2404966*c_1001_9^4 + 96344699/2404966*c_1001_9^3 - 43948927/2404966*c_1001_9^2 + 5538072/1202483*c_1001_9 - 5074961/2404966, c_0011_13 - 19823725/2404966*c_1001_9^7 + 21581328/1202483*c_1001_9^6 - 67146607/2404966*c_1001_9^5 + 100330969/2404966*c_1001_9^4 - 104270417/2404966*c_1001_9^3 + 29616516/1202483*c_1001_9^2 - 18173421/2404966*c_1001_9 + 2122951/1202483, c_0011_8 - 99478975/16834762*c_1001_9^7 + 177060371/16834762*c_1001_9^6 - 263565653/16834762*c_1001_9^5 + 195431440/8417381*c_1001_9^4 - 178186950/8417381*c_1001_9^3 + 159269205/16834762*c_1001_9^2 - 30371839/16834762*c_1001_9 + 22699885/16834762, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 - 4672725/16834762*c_1001_9^7 + 20263123/8417381*c_1001_9^6 - 30216383/16834762*c_1001_9^5 + 51634417/16834762*c_1001_9^4 - 64108185/16834762*c_1001_9^3 + 2877072/8417381*c_1001_9^2 + 43112089/16834762*c_1001_9 - 3177644/8417381, c_0101_3 - 175233925/16834762*c_1001_9^7 + 375204433/16834762*c_1001_9^6 - 580964425/16834762*c_1001_9^5 + 429239425/8417381*c_1001_9^4 - 451060844/8417381*c_1001_9^3 + 509376997/16834762*c_1001_9^2 - 157688705/16834762*c_1001_9 + 61890341/16834762, c_0101_7 - 7745800/1202483*c_1001_9^7 + 33160141/2404966*c_1001_9^6 - 26797713/1202483*c_1001_9^5 + 78402173/2404966*c_1001_9^4 - 83440385/2404966*c_1001_9^3 + 51571959/2404966*c_1001_9^2 - 9097307/1202483*c_1001_9 + 4604391/2404966, c_0101_8 - 25633675/16834762*c_1001_9^7 + 71920393/16834762*c_1001_9^6 - 122134429/16834762*c_1001_9^5 + 95331408/8417381*c_1001_9^4 - 110246747/8417381*c_1001_9^3 + 175612201/16834762*c_1001_9^2 - 93127157/16834762*c_1001_9 + 27610827/16834762, c_0101_9 - 12764125/8417381*c_1001_9^7 + 38961645/16834762*c_1001_9^6 - 22619649/8417381*c_1001_9^5 + 74658869/16834762*c_1001_9^4 - 49625673/16834762*c_1001_9^3 - 2172013/16834762*c_1001_9^2 - 2342315/8417381*c_1001_9 + 10957641/16834762, c_0110_5 - 66792725/16834762*c_1001_9^7 + 71541723/8417381*c_1001_9^6 - 205796443/16834762*c_1001_9^5 + 309663639/16834762*c_1001_9^4 - 318038993/16834762*c_1001_9^3 + 74186642/8417381*c_1001_9^2 - 30326407/16834762*c_1001_9 + 14829802/8417381, c_1001_9^8 - 69/25*c_1001_9^7 + 116/25*c_1001_9^6 - 176/25*c_1001_9^5 + 207/25*c_1001_9^4 - 156/25*c_1001_9^3 + 74/25*c_1001_9^2 - 27/25*c_1001_9 + 7/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB