Magma V2.19-8 Wed Aug 21 2013 01:07:54 on localhost [Seed = 357764158] Type ? for help. Type -D to quit. Loading file "L14n35813__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n35813 geometric_solution 11.38806287 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 -1 0 1 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 9 1 -10 1 0 -1 0 -10 0 0 10 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102268252463 0.690297688290 0 5 7 6 0132 0132 0132 0132 1 0 0 1 0 0 0 0 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 1 -1 -1 0 1 0 6 -5 0 -1 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.210009480549 1.417537265476 5 0 7 8 0132 0132 2310 0132 1 0 0 1 0 1 -1 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 -9 9 0 0 0 0 0 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.210009480549 1.417537265476 8 6 9 0 0321 0132 0132 0132 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 -1 -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 -0.553941701377 0.510722606148 10 11 0 9 0132 0132 0132 0132 1 0 0 1 0 1 -1 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 -10 10 0 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102791260934 1.108339244214 2 1 8 12 0132 0132 0213 0132 1 0 1 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 1 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102268252463 0.690297688290 9 3 1 12 0132 0132 0132 0213 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 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 -0.078432018320 0.671775272065 11 2 10 1 2103 3201 0321 0132 1 0 1 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 1 0 -1 1 0 0 -1 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340904100297 0.877096156127 3 5 2 9 0321 0213 0132 0321 1 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 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394995259726 0.708768632738 6 8 4 3 0132 0321 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945540892498 1.423217310697 4 12 7 11 0132 0132 0321 2103 1 0 1 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 0 0 0 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.082964294294 0.894556428236 12 4 7 10 0132 0132 2103 2103 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 0 0 0 0 0 0 0 0 10 0 -10 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 -0.082964294294 0.894556428236 11 10 5 6 0132 0132 0132 0213 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 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 0.102791260934 1.108339244214 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0101_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_10'], 'c_1100_8' : d['c_0011_7'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_7'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0101_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_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'], 'c_1100_12' : d['c_1001_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' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_12'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_8'], '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' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_8']), 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : d['c_0011_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10'], 's_2_9' : d['1']})} 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_3, c_0011_7, c_0011_8, c_0101_1, c_0101_10, c_0101_12, c_1001_0, c_1001_1, c_1001_10, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 14957194303148915105772653676500/22334133568158058241509*c_1100_0^8 - 43150085998286709195501125133224/22334133568158058241509*c_1100_0\ ^7 + 221845675827067939978592337564970/22334133568158058241509*c_11\ 00_0^6 - 59186982376243849843280086533319/22334133568158058241509*c\ _1100_0^5 - 737974843278724259352421439684047/446682671363161164830\ 18*c_1100_0^4 + 208867337307263022638049027808894/22334133568158058\ 241509*c_1100_0^3 + 166664716681510441338316659552337/2233413356815\ 8058241509*c_1100_0^2 - 583477320998947354007257271578519/178673068\ 545264465932072*c_1100_0 - 617288852841403301568236961910831/357346\ 137090528931864144, c_0011_0 - 1, c_0011_10 + 2035989312/3642781309*c_1100_0^8 + 2743060032/3642781309*c_1100_0^7 - 40296925472/3642781309*c_1100_0^6 + 50202863808/3642781309*c_1100_0^5 + 47883929352/3642781309*c_1100_0^4 - 97531903968/3642781309*c_1100_0^3 + 26465032460/3642781309*c_1100_0^2 + 6252383190/3642781309*c_1100_0 - 571897055/3642781309, c_0011_3 + 8298367808/3642781309*c_1100_0^8 + 25342843072/3642781309*c_1100_0^7 - 114590753632/3642781309*c_1100_0^6 + 28100652448/3642781309*c_1100_0^5 + 156840046104/3642781309*c_1100_0^4 - 99825877816/3642781309*c_1100_0^3 - 24073907476/3642781309*c_1100_0^2 + 19843897904/3642781309*c_1100_0 - 363172461/3642781309, c_0011_7 + 6268040576/3642781309*c_1100_0^8 + 16236230304/3642781309*c_1100_0^7 - 96816934736/3642781309*c_1100_0^6 + 55043130144/3642781309*c_1100_0^5 + 121031488352/3642781309*c_1100_0^4 - 109018640892/3642781309*c_1100_0^3 - 14568958694/3642781309*c_1100_0^2 + 16859753709/3642781309*c_1100_0 + 1800397326/3642781309, c_0011_8 + 1, c_0101_1 + 3298166720/3642781309*c_1100_0^8 + 5717564064/3642781309*c_1100_0^7 - 62094494624/3642781309*c_1100_0^6 + 58840734136/3642781309*c_1100_0^5 + 82695925400/3642781309*c_1100_0^4 - 106579917844/3642781309*c_1100_0^3 - 8985084230/3642781309*c_1100_0^2 + 26274335889/3642781309*c_1100_0 + 3637598678/3642781309, c_0101_10 + 2233871552/3642781309*c_1100_0^8 + 13417394880/3642781309*c_1100_0^7 - 10419327616/3642781309*c_1100_0^6 - 82361398864/3642781309*c_1100_0^5 + 59512707816/3642781309*c_1100_0^4 + 88673131384/3642781309*c_1100_0^3 - 55770221104/3642781309*c_1100_0^2 - 16519344210/3642781309*c_1100_0 - 2549727306/3642781309, c_0101_12 + 3298166720/3642781309*c_1100_0^8 + 5717564064/3642781309*c_1100_0^7 - 62094494624/3642781309*c_1100_0^6 + 58840734136/3642781309*c_1100_0^5 + 82695925400/3642781309*c_1100_0^4 - 106579917844/3642781309*c_1100_0^3 - 8985084230/3642781309*c_1100_0^2 + 26274335889/3642781309*c_1100_0 + 3637598678/3642781309, c_1001_0 + 447739648/3642781309*c_1100_0^8 + 5735579584/3642781309*c_1100_0^7 + 9429324880/3642781309*c_1100_0^6 - 51656445072/3642781309*c_1100_0^5 - 7506535952/3642781309*c_1100_0^4 + 81730282076/3642781309*c_1100_0^3 - 9978361406/3642781309*c_1100_0^2 - 30068015167/3642781309*c_1100_0 - 2463577943/3642781309, c_1001_1 + 3134020288/3642781309*c_1100_0^8 + 8118115152/3642781309*c_1100_0^7 - 48408467368/3642781309*c_1100_0^6 + 27521565072/3642781309*c_1100_0^5 + 60515744176/3642781309*c_1100_0^4 - 54509320446/3642781309*c_1100_0^3 - 7284479347/3642781309*c_1100_0^2 + 10251267509/3642781309*c_1100_0 + 900198663/3642781309, c_1001_10 + 6268040576/3642781309*c_1100_0^8 + 16236230304/3642781309*c_1100_0^7 - 96816934736/3642781309*c_1100_0^6 + 55043130144/3642781309*c_1100_0^5 + 121031488352/3642781309*c_1100_0^4 - 109018640892/3642781309*c_1100_0^3 - 14568958694/3642781309*c_1100_0^2 + 16859753709/3642781309*c_1100_0 + 1800397326/3642781309, c_1001_3 - c_1100_0, c_1100_0^9 + 3*c_1100_0^8 - 29/2*c_1100_0^7 + 9/4*c_1100_0^6 + 201/8*c_1100_0^5 - 89/8*c_1100_0^4 - 51/4*c_1100_0^3 + 115/32*c_1100_0^2 + 201/64*c_1100_0 + 19/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB