Magma V2.19-8 Tue Aug 20 2013 23:38:26 on localhost [Seed = 1495219552] Type ? for help. Type -D to quit. Loading file "K11n132__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n132 geometric_solution 10.26682776 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 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 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 0.590573361573 0.590062913073 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 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 0.715899887129 0.816206009777 4 0 5 8 3012 0132 0132 0132 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 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 0.823644159725 1.205273774648 9 5 10 0 0132 1230 0132 0132 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 1 -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 0 0 0 0.828848891754 0.682423391549 7 6 0 2 0132 2310 0132 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 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 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 1.010437449226 1.345394510473 8 1 3 2 1023 0132 3012 0132 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 -1 0 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 0.421245957626 0.715956463733 8 10 1 4 3201 3120 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321070612531 0.823336309876 4 10 9 1 0132 2031 2031 0132 0 0 0 0 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 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 0.400041034614 0.285907814474 9 5 2 6 2310 1023 0132 2310 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 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 0.562982871301 0.689818394841 3 10 8 7 0132 1230 3201 1302 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 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 0.665820842437 0.527218770379 7 6 9 3 1302 3120 3012 0132 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 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 0.694263813284 0.545443359931 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_6']), '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_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : d['c_0011_6'], 'c_1100_10' : d['c_0101_8'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0011_6'], '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_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0011_0']), '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' : d['c_0101_2'], '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_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_0']), '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' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_2'])})} 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_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 38136479800/16077971*c_0101_8^8 - 58835871697/16077971*c_0101_8^7 - 354457046448/16077971*c_0101_8^6 - 1935499778/120887*c_0101_8^5 - 301736655496/16077971*c_0101_8^4 - 357743379811/16077971*c_0101_8^3 + 7035274899/2296853*c_0101_8^2 + 15721854560/16077971*c_0101_8 - 83442179921/16077971, c_0011_0 - 1, c_0011_10 - 36/547*c_0101_8^8 + 138/547*c_0101_8^7 - 71/547*c_0101_8^6 + 1568/547*c_0101_8^5 + 668/547*c_0101_8^4 + 1470/547*c_0101_8^3 + 1163/547*c_0101_8^2 - 93/547*c_0101_8 + 197/547, c_0011_3 + 1250/547*c_0101_8^8 + 1590/547*c_0101_8^7 + 11430/547*c_0101_8^6 + 5604/547*c_0101_8^5 + 10598/547*c_0101_8^4 + 9493/547*c_0101_8^3 - 1940/547*c_0101_8^2 + 950/547*c_0101_8 + 1699/547, c_0011_4 + 288/547*c_0101_8^8 + 537/547*c_0101_8^7 + 2756/547*c_0101_8^6 + 2772/547*c_0101_8^5 + 2314/547*c_0101_8^4 + 3556/547*c_0101_8^3 - 552/547*c_0101_8^2 - 350/547*c_0101_8 + 612/547, c_0011_6 + 747/547*c_0101_8^8 + 692/547*c_0101_8^7 + 6533/547*c_0101_8^6 + 831/547*c_0101_8^5 + 5284/547*c_0101_8^4 + 2044/547*c_0101_8^3 - 2936/547*c_0101_8^2 + 152/547*c_0101_8 + 425/547, c_0101_0 - 612/547*c_0101_8^8 - 936/547*c_0101_8^7 - 5583/547*c_0101_8^6 - 3976/547*c_0101_8^5 - 3960/547*c_0101_8^4 - 5642/547*c_0101_8^3 + 1720/547*c_0101_8^2 + 607/547*c_0101_8 - 1027/547, c_0101_1 + 1123/547*c_0101_8^8 + 1621/547*c_0101_8^7 + 10435/547*c_0101_8^6 + 6638/547*c_0101_8^5 + 9551/547*c_0101_8^4 + 9300/547*c_0101_8^3 - 1651/547*c_0101_8^2 - 153/547*c_0101_8 + 1771/547, c_0101_2 + 864/547*c_0101_8^8 + 1064/547*c_0101_8^7 + 7721/547*c_0101_8^6 + 3393/547*c_0101_8^5 + 5848/547*c_0101_8^4 + 5745/547*c_0101_8^3 - 3297/547*c_0101_8^2 + 44/547*c_0101_8 + 1289/547, c_0101_3 - 864/547*c_0101_8^8 - 1064/547*c_0101_8^7 - 7721/547*c_0101_8^6 - 3393/547*c_0101_8^5 - 5848/547*c_0101_8^4 - 5745/547*c_0101_8^3 + 3297/547*c_0101_8^2 - 591/547*c_0101_8 - 1289/547, c_0101_5 - 835/547*c_0101_8^8 - 1084/547*c_0101_8^7 - 7679/547*c_0101_8^6 - 3866/547*c_0101_8^5 - 7237/547*c_0101_8^4 - 5744/547*c_0101_8^3 + 1099/547*c_0101_8^2 - 197/547*c_0101_8 - 612/547, c_0101_8^9 + 2*c_0101_8^8 + 10*c_0101_8^7 + 11*c_0101_8^6 + 11*c_0101_8^5 + 13*c_0101_8^4 + 3*c_0101_8^3 - c_0101_8^2 + 2*c_0101_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB