Magma V2.19-8 Wed Aug 21 2013 01:08:23 on localhost [Seed = 1377061650] Type ? for help. Type -D to quit. Loading file "L14n40724__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n40724 geometric_solution 12.17755534 oriented_manifold CS_known -0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 2 2 0 0 1 -1 0 0 -1 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 1 -1 0 0 0 0 -9 8 0 1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359595410324 0.838206191895 0 5 7 6 0132 0132 0132 0132 2 1 2 2 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 0 1 0 0 0 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049748914643 1.017025255916 8 0 7 9 0132 0132 1302 0132 1 2 2 2 0 0 0 0 0 0 0 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 0 0 0 0 0 8 0 -8 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379523227792 1.440603565833 10 10 11 0 0132 1302 0132 0132 1 1 2 0 0 1 0 -1 -1 0 0 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 1 0 -1 0 0 0 0 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432258766292 1.007582310576 9 9 0 12 3012 0132 0132 0132 1 1 2 2 0 -1 1 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 0 1 -1 0 0 0 0 9 0 0 -9 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390436098060 0.592260242645 8 1 7 9 1023 0132 0213 2310 2 2 2 2 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 1 0 -1 0 0 -8 8 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631642109238 0.443266963127 11 10 1 11 1023 3120 0132 3120 2 1 0 2 0 0 0 0 0 0 0 0 -1 -1 0 2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424462854443 0.753303156862 2 5 12 1 2031 0213 2103 0132 2 1 2 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194814197386 1.505329648062 2 5 8 8 0132 1023 2031 1302 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677397953267 0.646860840711 5 4 2 4 3201 0132 0132 1230 1 2 2 2 0 1 0 -1 -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 0 0 0 9 0 0 -9 1 -1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224112942908 1.176958429256 3 6 12 3 0132 3120 3012 2031 2 1 0 2 0 0 -1 1 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 9 -9 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 0.424462854443 0.753303156862 6 6 12 3 3120 1023 0132 0132 1 1 0 2 0 0 0 0 0 0 0 0 -2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432258766292 1.007582310576 7 10 4 11 2103 1230 0132 0132 1 1 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707528418346 1.073582184769 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(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' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_12' : negation(d['1']), 's_2_10' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_12'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0101_8']), 'c_1100_8' : d['c_0101_8'], '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' : negation(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' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0011_7']), '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_8'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 15158187393024/3800741*c_1100_0^7 + 7194900168704/3800741*c_1100_0^6 + 468611629056/542963*c_1100_0^5 - 1869803208704/3800741*c_1100_0^4 - 8495755264/31939*c_1100_0^3 + 138858169344/3800741*c_1100_0^2 + 5171226880/542963*c_1100_0 - 2383894848/3800741, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 1032192/323*c_1100_0^7 + 630784/323*c_1100_0^6 + 141824/323*c_1100_0^5 - 149376/323*c_1100_0^4 - 2784/19*c_1100_0^3 + 16200/323*c_1100_0^2 + 894/323*c_1100_0 - 262/323, c_0011_4 - 950272/323*c_1100_0^7 + 286720/323*c_1100_0^6 + 274944/323*c_1100_0^5 - 94208/323*c_1100_0^4 - 4416/19*c_1100_0^3 - 1328/323*c_1100_0^2 + 1992/323*c_1100_0 - 1031/646, c_0011_7 - 491520/323*c_1100_0^7 + 79872/323*c_1100_0^6 + 193536/323*c_1100_0^5 - 41600/323*c_1100_0^4 - 2976/19*c_1100_0^3 - 776/323*c_1100_0^2 + 2456/323*c_1100_0 - 1157/646, c_0101_0 - 1, c_0101_1 + 516096/323*c_1100_0^7 - 315392/323*c_1100_0^6 - 70912/323*c_1100_0^5 + 74688/323*c_1100_0^4 + 1392/19*c_1100_0^3 - 8100/323*c_1100_0^2 - 447/323*c_1100_0 + 131/323, c_0101_11 - 475136/323*c_1100_0^7 + 143360/323*c_1100_0^6 + 137472/323*c_1100_0^5 - 47104/323*c_1100_0^4 - 2208/19*c_1100_0^3 - 664/323*c_1100_0^2 + 996/323*c_1100_0 - 1677/1292, c_0101_12 - 720896/323*c_1100_0^7 + 183296/323*c_1100_0^6 + 234240/323*c_1100_0^5 - 67904/323*c_1100_0^4 - 3696/19*c_1100_0^3 - 1052/323*c_1100_0^2 + 2224/323*c_1100_0 - 547/323, c_0101_3 + 516096/323*c_1100_0^7 - 315392/323*c_1100_0^6 - 70912/323*c_1100_0^5 + 74688/323*c_1100_0^4 + 1392/19*c_1100_0^3 - 8100/323*c_1100_0^2 - 447/323*c_1100_0 + 131/323, c_0101_8 - 1785856/323*c_1100_0^7 + 1017856/323*c_1100_0^6 + 240128/323*c_1100_0^5 - 226944/323*c_1100_0^4 - 5280/19*c_1100_0^3 + 21384/323*c_1100_0^2 - 1068/323*c_1100_0 - 320/323, c_1001_0 + 475136/323*c_1100_0^7 - 143360/323*c_1100_0^6 - 137472/323*c_1100_0^5 + 47104/323*c_1100_0^4 + 2208/19*c_1100_0^3 + 664/323*c_1100_0^2 - 996/323*c_1100_0 + 1677/1292, c_1100_0^8 - 1/2*c_1100_0^7 - 3/16*c_1100_0^6 + 1/8*c_1100_0^5 + 15/256*c_1100_0^4 - 5/512*c_1100_0^3 - 3/4096*c_1100_0^2 + 3/8192*c_1100_0 - 1/65536 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB