Magma V2.19-8 Wed Aug 21 2013 01:05:26 on localhost [Seed = 3230062671] Type ? for help. Type -D to quit. Loading file "L14n25896__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25896 geometric_solution 12.02019403 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 0 1 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 0.647478498258 1.085431540835 0 5 6 3 0132 0132 0132 2031 1 1 1 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 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 0.594664744458 0.679503137419 5 0 8 7 3201 0132 0132 0132 1 0 1 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 1 -1 0 1 0 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281709122823 1.081803614328 3 1 3 0 2031 1302 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449719792485 0.360911117991 5 6 0 5 0321 1023 0132 3012 1 1 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 -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 0.462670831633 1.012386168329 4 1 4 2 0321 0132 1230 2310 1 0 0 1 0 1 -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 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 0.409035760913 0.770667536918 4 9 10 1 1023 0132 0132 0132 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 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 0.425971698909 0.641547509683 11 10 2 12 0132 1230 0132 0132 1 0 1 1 0 0 0 0 1 0 0 -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 1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152680327881 0.550469855268 9 10 12 2 0321 1023 0132 0132 1 0 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 -1 1 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 0.340209289445 0.877253361035 8 6 11 11 0321 0132 2031 3012 1 1 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 -1 0 1 -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 0.615719857556 0.990893126663 8 12 7 6 1023 3012 3012 0132 1 1 0 1 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 0 0 0 0 0 -1 1 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 0.555384263781 0.532524120907 7 12 9 9 0132 0132 1230 1302 1 0 1 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 0 0 0 0 0 1 -1 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 0.615719857556 0.990893126663 10 11 7 8 1230 0132 0132 0132 1 0 1 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 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 -1.298768158406 1.040694963617 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_11']), '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_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : 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_1100_12'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_1100_12'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_1100_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_6'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : d['c_1100_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_4'], '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_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_1001_0, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 292503/11456*c_1100_12^9 - 59325/1432*c_1100_12^8 + 1819081/11456*c_1100_12^7 + 1091731/2864*c_1100_12^6 - 369591/716*c_1100_12^5 - 7874427/11456*c_1100_12^4 + 5777509/11456*c_1100_12^3 + 619327/2864*c_1100_12^2 - 246227/5728*c_1100_12 - 617857/11456, c_0011_0 - 1, c_0011_10 - 524/179*c_1100_12^9 - 767/179*c_1100_12^8 + 3327/179*c_1100_12^7 + 7340/179*c_1100_12^6 - 11331/179*c_1100_12^5 - 12343/179*c_1100_12^4 + 10049/179*c_1100_12^3 + 4599/179*c_1100_12^2 - 739/179*c_1100_12 - 1113/179, c_0011_11 + 346/179*c_1100_12^9 + 529/179*c_1100_12^8 - 2121/179*c_1100_12^7 - 4889/179*c_1100_12^6 + 6962/179*c_1100_12^5 + 7786/179*c_1100_12^4 - 5875/179*c_1100_12^3 - 1932/179*c_1100_12^2 + 751/179*c_1100_12 + 394/179, c_0011_3 + 2150/179*c_1100_12^9 + 3462/179*c_1100_12^8 - 12982/179*c_1100_12^7 - 31614/179*c_1100_12^6 + 41203/179*c_1100_12^5 + 53536/179*c_1100_12^4 - 33001/179*c_1100_12^3 - 18294/179*c_1100_12^2 + 2709/179*c_1100_12 + 3574/179, c_0011_4 - 3235/179*c_1100_12^9 - 5319/179*c_1100_12^8 + 19227/179*c_1100_12^7 + 47971/179*c_1100_12^6 - 59732/179*c_1100_12^5 - 80558/179*c_1100_12^4 + 45441/179*c_1100_12^3 + 25831/179*c_1100_12^2 - 2841/179*c_1100_12 - 4973/179, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1983/179*c_1100_12^9 - 3112/179*c_1100_12^8 + 12114/179*c_1100_12^7 + 28694/179*c_1100_12^6 - 39253/179*c_1100_12^5 - 48077/179*c_1100_12^4 + 32496/179*c_1100_12^3 + 16183/179*c_1100_12^2 - 3032/179*c_1100_12 - 3359/179, c_0101_11 + c_1100_12, c_0101_6 - 227/179*c_1100_12^9 - 211/179*c_1100_12^8 + 1719/179*c_1100_12^7 + 2640/179*c_1100_12^6 - 7057/179*c_1100_12^5 - 4477/179*c_1100_12^4 + 8004/179*c_1100_12^3 + 2654/179*c_1100_12^2 - 1292/179*c_1100_12 - 930/179, c_0101_7 + 227/179*c_1100_12^9 + 211/179*c_1100_12^8 - 1719/179*c_1100_12^7 - 2640/179*c_1100_12^6 + 7057/179*c_1100_12^5 + 4477/179*c_1100_12^4 - 8004/179*c_1100_12^3 - 2654/179*c_1100_12^2 + 1292/179*c_1100_12 + 930/179, c_1001_0 - 2377/179*c_1100_12^9 - 3673/179*c_1100_12^8 + 14701/179*c_1100_12^7 + 34254/179*c_1100_12^6 - 48260/179*c_1100_12^5 - 58013/179*c_1100_12^4 + 41005/179*c_1100_12^3 + 20948/179*c_1100_12^2 - 4001/179*c_1100_12 - 4504/179, c_1100_12^10 + c_1100_12^9 - 7*c_1100_12^8 - 11*c_1100_12^7 + 28*c_1100_12^6 + 13*c_1100_12^5 - 30*c_1100_12^4 + c_1100_12^3 + 6*c_1100_12^2 + c_1100_12 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.580 seconds, Total memory usage: 32.09MB