Magma V2.19-8 Tue Aug 20 2013 23:57:59 on localhost [Seed = 1916017366] Type ? for help. Type -D to quit. Loading file "L14n38556__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38556 geometric_solution 10.72985423 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -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 0.824778955083 0.779547704509 0 2 6 5 0132 0213 0132 0132 1 1 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317843539563 0.628307804301 7 0 1 8 0132 0132 0213 0132 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 1 0 -1 1 0 3 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586309356154 0.365827725585 7 7 8 0 3012 0132 2031 0132 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402161886003 0.647158258169 9 6 0 10 0132 0132 0132 0132 1 1 1 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 -5 -1 6 0 0 0 0 -6 6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421591752376 0.763044909798 7 8 1 11 2031 2031 0132 0132 1 1 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 -1 0 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.125195634146 1.895241437596 11 4 11 1 1230 0132 0132 0132 1 1 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 5 -5 0 -1 0 1 0 -1 1 0 0 5 -6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172796074498 0.847266887020 2 3 5 3 0132 0132 1302 1230 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 -1 0 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307271938947 1.114736878304 5 9 2 3 1302 0132 0132 1302 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 0 0 0 0 0 -1 1 0 -3 0 4 -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 1.231097406507 1.133134423210 4 8 10 11 0132 0132 1230 1230 1 1 0 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630903428384 0.832297346347 10 10 4 9 1230 3012 0132 3012 1 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 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.445257323985 1.004036660574 9 6 5 6 3012 3012 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 -5 0 5 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 -0.172796074498 0.847266887020 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : 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' : 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_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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_9']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1001_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_9'], 'c_1100_8' : d['c_0101_3'], '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_4']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0011_10'], 'c_0110_0' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0011_11']})} 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_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_1001_1, c_1001_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2735561494752/338652661*c_1100_1^8 - 7175395216/8259821*c_1100_1^7 - 110642511383520/338652661*c_1100_1^6 + 553185579352712/338652661*c_1100_1^5 - 1123211404199886/338652661*c_1100_1^4 + 1233907543119763/338652661*c_1100_1^3 - 780542508970715/338652661*c_1100_1^2 + 270379916350823/338652661*c_1100_1 - 39990702031358/338652661, c_0011_0 - 1, c_0011_10 - 45672184/8259821*c_1100_1^8 - 31022784/8259821*c_1100_1^7 - 1871838538/8259821*c_1100_1^6 + 8159307762/8259821*c_1100_1^5 - 14369941149/8259821*c_1100_1^4 + 13537576074/8259821*c_1100_1^3 - 7139167306/8259821*c_1100_1^2 + 1943700485/8259821*c_1100_1 - 187532107/8259821, c_0011_11 - 34395528/8259821*c_1100_1^8 - 36989812/8259821*c_1100_1^7 - 1428932778/8259821*c_1100_1^6 + 5573175221/8259821*c_1100_1^5 - 8805130047/8259821*c_1100_1^4 + 7433381515/8259821*c_1100_1^3 - 3499147643/8259821*c_1100_1^2 + 860293288/8259821*c_1100_1 - 82329289/8259821, c_0011_4 - 34395528/8259821*c_1100_1^8 - 36989812/8259821*c_1100_1^7 - 1428932778/8259821*c_1100_1^6 + 5573175221/8259821*c_1100_1^5 - 8805130047/8259821*c_1100_1^4 + 7433381515/8259821*c_1100_1^3 - 3499147643/8259821*c_1100_1^2 + 860293288/8259821*c_1100_1 - 82329289/8259821, c_0011_5 - 16526816/8259821*c_1100_1^8 - 24654024/8259821*c_1100_1^7 - 701293056/8259821*c_1100_1^6 + 2379072506/8259821*c_1100_1^5 - 3426842472/8259821*c_1100_1^4 + 2779455557/8259821*c_1100_1^3 - 1324207097/8259821*c_1100_1^2 + 347075022/8259821*c_1100_1 - 30133790/8259821, c_0101_0 - 1, c_0101_10 - 97875456/8259821*c_1100_1^8 - 52593704/8259821*c_1100_1^7 - 3986649052/8259821*c_1100_1^6 + 18075940298/8259821*c_1100_1^5 - 32637792573/8259821*c_1100_1^4 + 31106852866/8259821*c_1100_1^3 - 16376896090/8259821*c_1100_1^2 + 4367522136/8259821*c_1100_1 - 413431017/8259821, c_0101_11 - 14543996/8259821*c_1100_1^8 - 20270114/8259821*c_1100_1^7 - 610240833/8259821*c_1100_1^6 + 4328623729/16519642*c_1100_1^5 - 3013574441/8259821*c_1100_1^4 + 4356914501/16519642*c_1100_1^3 - 1721394675/16519642*c_1100_1^2 + 361772935/16519642*c_1100_1 - 40345481/16519642, c_0101_3 - 92584/42797*c_1100_1^8 - 63916/42797*c_1100_1^7 - 3770154/42797*c_1100_1^6 + 16549755/42797*c_1100_1^5 - 27866775/42797*c_1100_1^4 + 24113606/42797*c_1100_1^3 - 11269122/42797*c_1100_1^2 + 2659162/42797*c_1100_1 - 270443/42797, c_1001_1 - 14543996/8259821*c_1100_1^8 - 20270114/8259821*c_1100_1^7 - 610240833/8259821*c_1100_1^6 + 4328623729/16519642*c_1100_1^5 - 3013574441/8259821*c_1100_1^4 + 4356914501/16519642*c_1100_1^3 - 1721394675/16519642*c_1100_1^2 + 361772935/16519642*c_1100_1 - 40345481/16519642, c_1001_9 + 8127208/8259821*c_1100_1^8 + 7302984/8259821*c_1100_1^7 + 332421942/8259821*c_1100_1^6 - 1384282908/8259821*c_1100_1^5 + 2154205015/8259821*c_1100_1^4 - 1690019280/8259821*c_1100_1^3 + 693085495/8259821*c_1100_1^2 - 134089558/8259821*c_1100_1 + 12216176/8259821, c_1100_1^9 + 81/2*c_1100_1^7 - 413/2*c_1100_1^6 + 6961/16*c_1100_1^5 - 4047/8*c_1100_1^4 + 5609/16*c_1100_1^3 - 2289/16*c_1100_1^2 + 495/16*c_1100_1 - 41/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB