Magma V2.19-8 Tue Aug 20 2013 23:56:23 on localhost [Seed = 374373899] Type ? for help. Type -D to quit. Loading file "L14n20349__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20349 geometric_solution 10.95665782 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 1 0 1 0 0 0 0 0 0 0 -1 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 -4 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982165513522 0.698342463560 0 0 3 2 0132 2310 3120 3120 1 0 0 1 0 -1 1 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 -5 5 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 0.323731769269 0.480842399549 1 0 5 4 3120 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 0 0 -2 0 0 2 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 -1 0 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712814289710 0.950186460862 6 7 1 0 0132 0132 3120 0132 1 0 0 1 0 0 0 0 -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 0 0 0 0 0 0 0 0 -1 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712814289710 0.950186460862 6 8 2 9 2103 0132 0132 0132 1 0 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.346648529770 0.910234589498 10 7 9 2 0132 0321 0132 0132 1 0 1 1 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 -1 1 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.346648529770 0.910234589498 3 11 4 10 0132 0132 2103 0132 1 0 1 0 0 0 0 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 0 0 0 0 0 0 -5 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340441716488 0.583175372846 9 3 8 5 0321 0132 0132 0321 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340441716488 0.583175372846 11 4 11 7 3120 0132 0321 0132 1 1 0 1 0 0 0 0 0 0 0 0 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 1 0 -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 0 0.074571283102 0.884257346967 7 10 4 5 0321 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 0.074571283102 0.884257346967 5 9 6 11 0132 0132 0132 1230 1 0 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074571283102 0.884257346967 10 6 8 8 3012 0132 0321 3120 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 0 0 0 0 0 0 0 0 0 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 0.905302931979 1.122906494968 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : negation(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' : negation(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_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_0'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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'], 's_1_7' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_7, c_1001_0, c_1001_1, c_1001_10, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 41287332511621/73580604033024*c_1100_2^12 + 45114677589271/36790302016512*c_1100_2^11 + 90532062565199/73580604033024*c_1100_2^10 - 38955435685973/24526868011008*c_1100_2^9 - 14064249270403/9197575504128*c_1100_2^8 + 169810184589083/24526868011008*c_1100_2^7 + 185626790533603/18395151008256*c_1100_2^6 + 19405759416203/4328270825472*c_1100_2^5 - 81660132330647/18395151008256*c_1100_2^4 + 19954964836879/2299393876032*c_1100_2^3 + 11490115431989/1599578348544*c_1100_2^2 + 1281923792123/371619212288*c_1100_2 + 197366279264695/73580604033024, c_0011_0 - 1, c_0011_10 + 515877/928157*c_1100_2^12 + 1343793/928157*c_1100_2^11 + 1477762/928157*c_1100_2^10 - 1299520/928157*c_1100_2^9 - 2351815/928157*c_1100_2^8 + 6038016/928157*c_1100_2^7 + 12299043/928157*c_1100_2^6 + 6337434/928157*c_1100_2^5 - 4959979/928157*c_1100_2^4 + 4947842/928157*c_1100_2^3 + 10620875/928157*c_1100_2^2 + 3676668/928157*c_1100_2 + 1620712/928157, c_0011_11 + c_1100_2, c_0011_4 + 58089/928157*c_1100_2^12 + 115534/928157*c_1100_2^11 + 69492/928157*c_1100_2^10 - 220961/928157*c_1100_2^9 - 154451/928157*c_1100_2^8 + 868410/928157*c_1100_2^7 + 674779/928157*c_1100_2^6 - 308723/928157*c_1100_2^5 - 643598/928157*c_1100_2^4 + 1503340/928157*c_1100_2^3 + 978550/928157*c_1100_2^2 - 2421271/928157*c_1100_2 + 207368/928157, c_0101_0 - 1, c_0101_10 + 242643/1856314*c_1100_2^12 + 650319/1856314*c_1100_2^11 + 420713/928157*c_1100_2^10 - 358209/1856314*c_1100_2^9 - 951937/1856314*c_1100_2^8 + 1285906/928157*c_1100_2^7 + 2970703/928157*c_1100_2^6 + 4753451/1856314*c_1100_2^5 - 861341/1856314*c_1100_2^4 + 3296571/1856314*c_1100_2^3 + 5881347/1856314*c_1100_2^2 + 4405033/1856314*c_1100_2 + 1274397/928157, c_0101_11 + 325720/928157*c_1100_2^12 + 838241/928157*c_1100_2^11 + 821550/928157*c_1100_2^10 - 977678/928157*c_1100_2^9 - 1571196/928157*c_1100_2^8 + 4222378/928157*c_1100_2^7 + 7910794/928157*c_1100_2^6 + 2995802/928157*c_1100_2^5 - 4178698/928157*c_1100_2^4 + 2659939/928157*c_1100_2^3 + 7890629/928157*c_1100_2^2 + 1969192/928157*c_1100_2 + 1108440/928157, c_0101_7 + 138919/928157*c_1100_2^12 + 481330/928157*c_1100_2^11 + 651958/928157*c_1100_2^10 - 57404/928157*c_1100_2^9 - 965178/928157*c_1100_2^8 + 1209366/928157*c_1100_2^7 + 4495758/928157*c_1100_2^6 + 3852978/928157*c_1100_2^5 + 271541/928157*c_1100_2^4 + 252371/928157*c_1100_2^3 + 3568048/928157*c_1100_2^2 + 2148760/928157*c_1100_2 + 1302880/928157, c_1001_0 - 242643/1856314*c_1100_2^12 - 650319/1856314*c_1100_2^11 - 420713/928157*c_1100_2^10 + 358209/1856314*c_1100_2^9 + 951937/1856314*c_1100_2^8 - 1285906/928157*c_1100_2^7 - 2970703/928157*c_1100_2^6 - 4753451/1856314*c_1100_2^5 + 861341/1856314*c_1100_2^4 - 3296571/1856314*c_1100_2^3 - 5881347/1856314*c_1100_2^2 - 4405033/1856314*c_1100_2 - 1274397/928157, c_1001_1 + 242643/1856314*c_1100_2^12 + 650319/1856314*c_1100_2^11 + 420713/928157*c_1100_2^10 - 358209/1856314*c_1100_2^9 - 951937/1856314*c_1100_2^8 + 1285906/928157*c_1100_2^7 + 2970703/928157*c_1100_2^6 + 4753451/1856314*c_1100_2^5 - 861341/1856314*c_1100_2^4 + 3296571/1856314*c_1100_2^3 + 5881347/1856314*c_1100_2^2 + 4405033/1856314*c_1100_2 + 346240/928157, c_1001_10 - 51842/928157*c_1100_2^12 - 97437/928157*c_1100_2^11 - 91834/928157*c_1100_2^10 + 121334/928157*c_1100_2^9 + 38249/928157*c_1100_2^8 - 672871/928157*c_1100_2^7 - 583166/928157*c_1100_2^6 - 517587/928157*c_1100_2^5 - 256881/928157*c_1100_2^4 - 1110176/928157*c_1100_2^3 + 207290/928157*c_1100_2^2 + 97236/928157*c_1100_2 - 2011534/928157, c_1100_2^13 + 3*c_1100_2^12 + 4*c_1100_2^11 - c_1100_2^10 - 5*c_1100_2^9 + 10*c_1100_2^8 + 28*c_1100_2^7 + 23*c_1100_2^6 - c_1100_2^5 + 9*c_1100_2^4 + 25*c_1100_2^3 + 17*c_1100_2^2 + 10*c_1100_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB