Magma V2.19-8 Wed Aug 21 2013 01:05:54 on localhost [Seed = 3448493409] Type ? for help. Type -D to quit. Loading file "L14n29639__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n29639 geometric_solution 12.23527687 oriented_manifold CS_known -0.0000000000000010 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 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 0 -1 1 1 0 1 -2 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240726813171 1.223252041358 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 -1 1 0 0 0 0 0 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 2 -1 -1 -1 0 0 1 0 -7 0 7 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456287090714 0.732688078765 8 0 3 6 0132 0132 2310 2031 1 0 1 1 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 -1 0 0 1 8 0 0 -8 -8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240726813171 1.223252041358 9 2 10 0 0132 3201 0132 0132 1 0 1 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 -1 0 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 -0.125898517673 0.831518271452 8 11 0 10 3012 0132 0132 0132 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 0 0 0 0 0 1 -1 0 -2 0 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 -0.140707041288 1.257869206338 8 1 7 12 1023 0132 3012 0132 0 0 1 1 0 1 0 -1 0 0 0 0 1 0 0 -1 0 1 -1 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 8 0 0 -8 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058855142178 0.861552936475 11 2 1 9 3120 1302 0132 2031 0 0 1 1 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 -1 1 0 0 0 0 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.087830278856 0.785170394783 12 5 10 1 0132 1230 1302 0132 0 0 1 0 0 0 1 -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 0 -1 1 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703609167783 0.773609172341 2 5 12 4 0132 1023 0213 1230 0 0 1 1 0 0 1 -1 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 -2 2 1 0 -1 0 8 -8 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456287090714 0.732688078765 3 6 11 12 0132 1302 3120 2103 0 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 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 0.050716403508 0.751827217251 7 11 4 3 2031 2031 0132 0132 1 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 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 0.050716403508 0.751827217251 10 4 9 6 1302 0132 3120 3120 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 -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 0.464279444295 0.630467089693 7 8 5 9 0132 0213 0132 2103 0 0 0 1 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 2 -2 0 0 0 0 0 0 1 0 -1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356574894377 0.707437575029 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : negation(d['c_0110_11']), 'c_1001_12' : d['c_0101_5'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0011_11'], 's_3_11' : 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' : negation(d['c_0011_10']), '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_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' : 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_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0110_11']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_1'], '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'], 'c_1100_12' : negation(d['c_0101_3']), '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_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], '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_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_12'], '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' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_11']), '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_0011_12'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_11']})} 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_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 44199/2353*c_1100_0^7 + 845485/9412*c_1100_0^6 + 208943/2353*c_1100_0^5 - 629797/9412*c_1100_0^4 - 172923/4706*c_1100_0^3 - 1276495/9412*c_1100_0^2 + 14426/2353*c_1100_0 - 389401/4706, c_0011_0 - 1, c_0011_10 - 369/4706*c_1100_0^7 - 1685/4706*c_1100_0^6 - 1317/4706*c_1100_0^5 + 2195/4706*c_1100_0^4 - 1767/4706*c_1100_0^3 - 1471/4706*c_1100_0^2 - 972/2353*c_1100_0 - 1354/2353, c_0011_11 - 477/2353*c_1100_0^7 - 2006/2353*c_1100_0^6 - 899/2353*c_1100_0^5 + 3067/2353*c_1100_0^4 - 2112/2353*c_1100_0^3 - 2705/2353*c_1100_0^2 - 3546/2353*c_1100_0 + 115/2353, c_0011_12 - 483/4706*c_1100_0^7 - 1208/2353*c_1100_0^6 - 2183/4706*c_1100_0^5 + 1427/2353*c_1100_0^4 - 1739/4706*c_1100_0^3 - 2694/2353*c_1100_0^2 - 641/2353*c_1100_0 - 2021/2353, c_0011_3 + 251/2353*c_1100_0^7 + 1465/2353*c_1100_0^6 + 1948/2353*c_1100_0^5 - 1678/2353*c_1100_0^4 - 1878/2353*c_1100_0^3 + 4393/2353*c_1100_0^2 + 3331/2353*c_1100_0 + 1740/2353, c_0011_6 - 1055/4706*c_1100_0^7 - 4639/4706*c_1100_0^6 - 2235/4706*c_1100_0^5 + 8431/4706*c_1100_0^4 - 2259/4706*c_1100_0^3 - 6259/4706*c_1100_0^2 - 1746/2353*c_1100_0 + 618/2353, c_0101_0 - 1, c_0101_1 - 667/4706*c_1100_0^7 - 1220/2353*c_1100_0^6 + 795/4706*c_1100_0^5 + 2867/2353*c_1100_0^4 - 5987/4706*c_1100_0^3 - 695/2353*c_1100_0^2 - 437/2353*c_1100_0 + 1691/2353, c_0101_10 + 121/4706*c_1100_0^7 + 425/4706*c_1100_0^6 + 11/4706*c_1100_0^5 - 1587/4706*c_1100_0^4 - 71/4706*c_1100_0^3 + 1949/4706*c_1100_0^2 - 83/2353*c_1100_0 - 1418/2353, c_0101_3 + 605/4706*c_1100_0^7 + 2125/4706*c_1100_0^6 + 55/4706*c_1100_0^5 - 3229/4706*c_1100_0^4 + 4351/4706*c_1100_0^3 + 333/4706*c_1100_0^2 + 1938/2353*c_1100_0 - 31/2353, c_0101_5 + 153/4706*c_1100_0^7 + 1043/4706*c_1100_0^6 + 2153/4706*c_1100_0^5 - 451/4706*c_1100_0^4 - 3629/4706*c_1100_0^3 + 3709/4706*c_1100_0^2 + 1723/2353*c_1100_0 - 529/2353, c_0110_11 + 801/4706*c_1100_0^7 + 2969/4706*c_1100_0^6 - 355/4706*c_1100_0^5 - 5683/4706*c_1100_0^4 + 7853/4706*c_1100_0^3 + 1701/4706*c_1100_0^2 + 1823/2353*c_1100_0 - 1939/2353, c_1100_0^8 + 4*c_1100_0^7 + c_1100_0^6 - 6*c_1100_0^5 + 7*c_1100_0^4 + 2*c_1100_0^3 + 6*c_1100_0^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.420 Total time: 0.630 seconds, Total memory usage: 32.09MB