Magma V2.19-8 Wed Aug 21 2013 00:25:40 on localhost [Seed = 3920624283] Type ? for help. Type -D to quit. Loading file "K14n14269__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14269 geometric_solution 11.62556610 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 1 0 0 -1 -16 -1 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307118091429 1.318978467787 0 5 7 6 0132 0132 0132 0132 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 -1 1 -1 0 0 1 0 0 0 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832544283330 0.719171194272 3 0 8 6 1023 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183876044828 1.198306238857 9 2 10 0 0132 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309492435574 0.588811491236 9 7 0 11 3120 0132 0132 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175191483965 1.180883527021 9 1 11 8 1023 0132 2103 0321 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 -17 0 1 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397537356226 0.569156726945 12 11 1 2 0132 2103 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.407629768901 0.177999182669 8 4 10 1 0132 0132 3012 0132 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 -1 0 1 0 0 0 0 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781430018045 0.779783120556 7 5 12 2 0132 0321 3120 0132 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 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173006637090 0.504023505767 3 5 12 4 0132 1023 0132 3120 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 17 0 -17 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 0.867147557137 0.827811631137 12 7 11 3 1023 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.455559936575 2.040268910850 5 6 4 10 2103 2103 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.209776005713 0.392221907448 6 10 8 9 0132 1023 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.663211671011 0.832861988111 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0110_2'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0110_2'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : 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' : 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_11'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_2']), 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_1001_1'], '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' : negation(d['c_0101_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' : d['c_0011_0'], 'c_0011_8' : d['c_0011_4'], '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' : negation(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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_2, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3212255028/925594565*c_1100_0^7 - 933660058/21525455*c_1100_0^6 - 39508507604/925594565*c_1100_0^5 + 88273081104/925594565*c_1100_0^4 - 4273548247/925594565*c_1100_0^3 - 7628497749/185118913*c_1100_0^2 + 46747886228/925594565*c_1100_0 + 8112679858/132227795, c_0011_0 - 1, c_0011_10 + 20250/36679*c_1100_0^7 + 5153/853*c_1100_0^6 - 78241/36679*c_1100_0^5 - 265324/36679*c_1100_0^4 + 151549/36679*c_1100_0^3 + 42987/36679*c_1100_0^2 - 238731/36679*c_1100_0 - 102435/36679, c_0011_11 - 5002/36679*c_1100_0^7 - 1317/853*c_1100_0^6 - 69/36679*c_1100_0^5 + 82724/36679*c_1100_0^4 - 74454/36679*c_1100_0^3 - 21747/36679*c_1100_0^2 + 75130/36679*c_1100_0 + 15739/36679, c_0011_4 + 8416/36679*c_1100_0^7 + 2162/853*c_1100_0^6 - 19360/36679*c_1100_0^5 - 76768/36679*c_1100_0^4 + 18343/36679*c_1100_0^3 + 30005/36679*c_1100_0^2 - 41303/36679*c_1100_0 - 62515/36679, c_0101_0 - 23/36679*c_1100_0^7 + 92/853*c_1100_0^6 + 42171/36679*c_1100_0^5 - 56552/36679*c_1100_0^4 - 11107/36679*c_1100_0^3 + 62838/36679*c_1100_0^2 - 44825/36679*c_1100_0 - 41263/36679, c_0101_1 + 24434/36679*c_1100_0^7 + 6330/853*c_1100_0^6 - 40727/36679*c_1100_0^5 - 330824/36679*c_1100_0^4 + 106870/36679*c_1100_0^3 + 117978/36679*c_1100_0^2 - 275059/36679*c_1100_0 - 164789/36679, c_0101_10 - 9209/36679*c_1100_0^7 - 2402/853*c_1100_0^6 + 4588/36679*c_1100_0^5 + 91672/36679*c_1100_0^4 - 40882/36679*c_1100_0^3 - 33900/36679*c_1100_0^2 + 103312/36679*c_1100_0 + 73509/36679, c_0101_11 + 24434/36679*c_1100_0^7 + 6330/853*c_1100_0^6 - 40727/36679*c_1100_0^5 - 330824/36679*c_1100_0^4 + 106870/36679*c_1100_0^3 + 117978/36679*c_1100_0^2 - 275059/36679*c_1100_0 - 201468/36679, c_0101_12 + 3345/36679*c_1100_0^7 + 1121/853*c_1100_0^6 + 107084/36679*c_1100_0^5 - 163700/36679*c_1100_0^4 - 89432/36679*c_1100_0^3 + 196772/36679*c_1100_0^2 - 63969/36679*c_1100_0 - 170565/36679, c_0101_2 + 355/36679*c_1100_0^7 + 286/853*c_1100_0^6 + 87464/36679*c_1100_0^5 - 69623/36679*c_1100_0^4 - 66182/36679*c_1100_0^3 + 76258/36679*c_1100_0^2 - 22579/36679*c_1100_0 - 106263/36679, c_0110_2 + 8370/36679*c_1100_0^7 + 2346/853*c_1100_0^6 + 64982/36679*c_1100_0^5 - 189872/36679*c_1100_0^4 - 3871/36679*c_1100_0^3 + 155681/36679*c_1100_0^2 - 130953/36679*c_1100_0 - 145041/36679, c_1001_1 + 16751/36679*c_1100_0^7 + 4648/853*c_1100_0^6 + 111390/36679*c_1100_0^5 - 336750/36679*c_1100_0^4 - 32730/36679*c_1100_0^3 + 177651/36679*c_1100_0^2 - 234089/36679*c_1100_0 - 236858/36679, c_1100_0^8 + 12*c_1100_0^7 + 8*c_1100_0^6 - 14*c_1100_0^5 - 7*c_1100_0^4 + 8*c_1100_0^3 - 7*c_1100_0^2 - 17*c_1100_0 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.240 Total time: 6.450 seconds, Total memory usage: 100.94MB