Magma V2.19-8 Wed Aug 21 2013 01:11:45 on localhost [Seed = 1798141251] Type ? for help. Type -D to quit. Loading file "L14n57__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57 geometric_solution 12.12112015 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 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 0 0 -0.094205230267 1.147321751893 0 5 2 5 0132 0132 1023 0213 1 1 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 0 0 0 2 -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 0.503389231666 0.467230565166 4 0 1 4 1302 0132 1023 2310 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 -1 0 1 -1 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 0.801040689944 0.962698786680 6 7 8 0 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194339973534 0.987911712838 2 2 0 9 3201 2031 0132 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 1 -1 0 0 0 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 0.489280458780 0.613787899714 6 1 10 1 2310 0132 0132 0213 1 1 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 0 0 0 -2 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 0.503389231666 0.467230565166 3 11 5 9 0132 0132 3201 0321 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 -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 0.803679221611 0.762232196345 10 3 9 8 1023 0132 3201 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025283066933 0.917656708306 7 10 9 3 3012 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372345991728 0.587199602471 7 6 4 8 2310 0321 0132 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 -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 0.345543285270 1.542594413184 12 7 8 5 0132 1023 2310 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 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 0.483425794760 0.388879103917 12 6 12 12 1023 0132 2031 3012 1 0 1 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 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 0.744111944747 1.010265953616 10 11 11 11 0132 1023 1230 1302 0 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 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 0.744111944747 1.010265953616 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0011_8'], 's_3_11' : d['1'], 's_0_11' : 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' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0011_8'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_11'], '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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], '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_10'], '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_11'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : negation(d['c_0011_9'])})} 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_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 429053140091115/378339200792*c_1100_0^5 - 859268098252311/15133568031680*c_1100_0^4 + 27088842751473495/3026713606336*c_1100_0^3 - 60480594582206559/15133568031680*c_1100_0^2 + 22982942752169731/7566784015840*c_1100_0 + 3260154111506987/15133568031680, c_0011_0 - 1, c_0011_10 - 901615/221942*c_1100_0^5 + 9231/158530*c_1100_0^4 - 17857793/554855*c_1100_0^3 + 1049324/79265*c_1100_0^2 - 5287272/554855*c_1100_0 - 246713/1109710, c_0011_4 + 77230/110971*c_1100_0^5 - 133934/554855*c_1100_0^4 + 3026627/554855*c_1100_0^3 - 2137722/554855*c_1100_0^2 + 1457173/554855*c_1100_0 - 26974/554855, c_0011_8 - 36455/110971*c_1100_0^5 + 285939/554855*c_1100_0^4 - 1393352/554855*c_1100_0^3 + 3036452/554855*c_1100_0^2 - 1182948/554855*c_1100_0 + 459749/554855, c_0011_9 - 194960/110971*c_1100_0^5 + 125393/554855*c_1100_0^4 - 15396273/1109710*c_1100_0^3 + 4023359/554855*c_1100_0^2 - 6486047/1109710*c_1100_0 + 93263/158530, c_0101_0 + 2140/15853*c_1100_0^5 + 50741/554855*c_1100_0^4 + 415447/554855*c_1100_0^3 - 22467/554855*c_1100_0^2 - 729462/554855*c_1100_0 + 871086/554855, c_0101_1 - 79115/110971*c_1100_0^5 - 75508/554855*c_1100_0^4 - 3158196/554855*c_1100_0^3 + 816776/554855*c_1100_0^2 - 1057264/554855*c_1100_0 + 8532/554855, c_0101_10 + 349145/221942*c_1100_0^5 - 402791/1109710*c_1100_0^4 + 6881499/554855*c_1100_0^3 - 4472724/554855*c_1100_0^2 + 2551056/554855*c_1100_0 - 75823/158530, c_0101_11 - 1, c_0101_12 + 89340/15853*c_1100_0^5 - 233704/554855*c_1100_0^4 + 24739292/554855*c_1100_0^3 - 11817992/554855*c_1100_0^2 + 7838328/554855*c_1100_0 - 142024/554855, c_0101_7 + 349145/221942*c_1100_0^5 - 402791/1109710*c_1100_0^4 + 6881499/554855*c_1100_0^3 - 4472724/554855*c_1100_0^2 + 2551056/554855*c_1100_0 - 75823/158530, c_0101_9 - 77230/110971*c_1100_0^5 + 133934/554855*c_1100_0^4 - 3026627/554855*c_1100_0^3 + 2137722/554855*c_1100_0^2 - 902318/554855*c_1100_0 + 581829/554855, c_1100_0^6 - 4/25*c_1100_0^5 + 198/25*c_1100_0^4 - 22/5*c_1100_0^3 + 81/25*c_1100_0^2 - 6/25*c_1100_0 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.420 Total time: 1.629 seconds, Total memory usage: 32.09MB