Magma V2.19-8 Tue Aug 20 2013 23:44:04 on localhost [Seed = 2851064901] Type ? for help. Type -D to quit. Loading file "L14n17888__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17888 geometric_solution 9.22528534 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -5 4 1 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.574645858922 0.413929520528 0 5 4 6 0132 0132 2031 0132 1 1 1 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 0 0 0 1 0 -1 0 0 0 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.416151698153 0.622597604435 7 0 8 6 0132 0132 0132 2103 1 1 1 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 5 0 -5 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082875994748 0.815539704518 6 8 5 0 0132 3012 1023 0132 1 1 1 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 4 0 -4 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851106820261 0.440015430959 5 7 0 1 3012 1230 0132 1302 1 1 1 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 0 -1 1 0 0 -1 1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652021234617 0.996081982648 9 1 3 4 0132 0132 1023 1230 1 1 1 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 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533036385340 0.291544164988 3 8 1 2 0132 1230 0132 2103 1 1 1 1 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 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.291637102860 1.383773596472 2 10 4 8 0132 0132 3012 2031 1 1 1 1 0 0 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 -5 5 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739690117963 0.769579452529 3 7 6 2 1230 1302 3012 0132 1 1 1 1 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 0 0 0 0 0 0 0 5 -5 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723113093550 0.758817891717 5 10 10 10 0132 1023 1230 1302 0 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 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 0.555949212084 0.789823345538 9 7 9 9 1023 0132 2031 3012 1 0 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 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 0.555949212084 0.789823345538 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_2'], '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_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0110_10' : d['c_0101_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_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' : d['c_0101_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 258190260794362/1036665869511*c_1001_2^8 - 8203318524029299/6219995217066*c_1001_2^7 - 11471917586180079/2764442318696*c_1001_2^6 - 237107458229953681/24879980868264*c_1001_2^5 - 21319096776494231/1382221159348*c_1001_2^4 - 205807284414568051/12439990434132*c_1001_2^3 - 3866449016141488/345555289837*c_1001_2^2 - 36835309774121965/8293326956088*c_1001_2 - 10277654714319049/12439990434132, c_0011_0 - 1, c_0011_3 + 80433731176/16994522451*c_1001_2^8 + 946316720246/50983567353*c_1001_2^7 + 1713948697957/33989044902*c_1001_2^6 + 10158525112255/101967134706*c_1001_2^5 + 2069545755145/16994522451*c_1001_2^4 + 3864212386753/50983567353*c_1001_2^3 + 210473347751/16994522451*c_1001_2^2 - 338653820155/33989044902*c_1001_2 - 307573425884/50983567353, c_0011_4 - 63778353856/16994522451*c_1001_2^8 - 722292776960/50983567353*c_1001_2^7 - 223233276192/5664840817*c_1001_2^6 - 3935827586423/50983567353*c_1001_2^5 - 540706909993/5664840817*c_1001_2^4 - 3205953922924/50983567353*c_1001_2^3 - 74498617104/5664840817*c_1001_2^2 + 142323215236/16994522451*c_1001_2 + 310948033661/50983567353, c_0011_8 + 63778353856/16994522451*c_1001_2^8 + 722292776960/50983567353*c_1001_2^7 + 223233276192/5664840817*c_1001_2^6 + 3935827586423/50983567353*c_1001_2^5 + 540706909993/5664840817*c_1001_2^4 + 3205953922924/50983567353*c_1001_2^3 + 74498617104/5664840817*c_1001_2^2 - 142323215236/16994522451*c_1001_2 - 259964466308/50983567353, c_0101_0 + 10177210504/16994522451*c_1001_2^8 + 49858217894/50983567353*c_1001_2^7 + 25956051951/11329681634*c_1001_2^6 + 105717288761/50983567353*c_1001_2^5 - 29016710647/11329681634*c_1001_2^4 - 319908284240/50983567353*c_1001_2^3 - 2624477338/5664840817*c_1001_2^2 + 96665886655/33989044902*c_1001_2 + 105895932209/101967134706, c_0101_1 - 35223458720/16994522451*c_1001_2^8 - 365981952376/50983567353*c_1001_2^7 - 325090197298/16994522451*c_1001_2^6 - 1817474518348/50983567353*c_1001_2^5 - 662395458947/16994522451*c_1001_2^4 - 944115227450/50983567353*c_1001_2^3 + 22312279436/16994522451*c_1001_2^2 + 69313133176/16994522451*c_1001_2 + 57356029705/50983567353, c_0101_10 - 1, c_0101_3 + 70992644584/16994522451*c_1001_2^8 + 892264856750/50983567353*c_1001_2^7 + 1640277929609/33989044902*c_1001_2^6 + 4958616090365/50983567353*c_1001_2^5 + 4230131218987/33989044902*c_1001_2^4 + 4221442928992/50983567353*c_1001_2^3 + 244955595610/16994522451*c_1001_2^2 - 134263278725/11329681634*c_1001_2 - 646926184681/101967134706, c_0101_7 - 63778353856/16994522451*c_1001_2^8 - 722292776960/50983567353*c_1001_2^7 - 223233276192/5664840817*c_1001_2^6 - 3935827586423/50983567353*c_1001_2^5 - 540706909993/5664840817*c_1001_2^4 - 3205953922924/50983567353*c_1001_2^3 - 74498617104/5664840817*c_1001_2^2 + 159317737687/16994522451*c_1001_2 + 310948033661/50983567353, c_0101_8 - 116237097112/16994522451*c_1001_2^8 - 1406131371818/50983567353*c_1001_2^7 - 2574124192459/33989044902*c_1001_2^6 - 15441134910061/101967134706*c_1001_2^5 - 3228068302177/16994522451*c_1001_2^4 - 6385607762383/50983567353*c_1001_2^3 - 413940515252/16994522451*c_1001_2^2 + 553459256341/33989044902*c_1001_2 + 500385185501/50983567353, c_1001_2^9 + 59/12*c_1001_2^8 + 703/48*c_1001_2^7 + 383/12*c_1001_2^6 + 142/3*c_1001_2^5 + 2053/48*c_1001_2^4 + 469/24*c_1001_2^3 + 11/16*c_1001_2^2 - 167/48*c_1001_2 - 61/48 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB