Magma V2.19-8 Tue Aug 20 2013 23:47:53 on localhost [Seed = 2496855793] Type ? for help. Type -D to quit. Loading file "L11n267__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n267 geometric_solution 11.51710111 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 0 1 2 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 1 0 -1 0 0 1 -1 1 -1 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814955465251 0.822693511258 0 5 7 6 0132 0132 0132 0132 2 0 2 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 0 0 0 0 -9 9 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520260903990 0.592733467351 8 0 7 6 0132 0132 3012 0321 2 2 2 1 0 0 0 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 -1 0 1 0 0 0 0 0 9 0 -9 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484007203494 1.159821505897 6 9 10 0 0132 0132 0132 0132 2 0 2 2 0 0 0 0 1 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 0 0 0 0 1 0 0 -1 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684041206292 0.478780441431 8 5 0 9 3012 1302 0132 2103 2 0 2 1 0 -1 0 1 1 0 0 -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 -10 1 9 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 0.698257858315 0.906014124204 11 1 10 4 0132 0132 0213 2031 2 2 1 2 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 0 0 0 0 0 0 -10 10 0 0 0 0 10 -9 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250838516765 0.813598494263 3 2 1 9 0132 0321 0132 0132 2 0 2 2 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 -1 1 0 -1 0 0 1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.320207119309 0.719744744172 11 2 10 1 2031 1230 3120 0132 2 0 1 2 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 1 -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 0.466337373460 0.692446023268 2 11 10 4 0132 0132 1302 1230 0 2 1 2 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401545241659 0.830083365917 11 3 6 4 3012 0132 0132 2103 2 0 2 2 0 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 -1 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 0.693559440935 0.734320373988 8 5 7 3 2031 0213 3120 0132 2 0 2 2 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 0 0 0 0 -10 10 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612467627610 0.665147302363 5 8 7 9 0132 0132 1302 1230 0 2 2 1 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 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527747718399 0.976250551130 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : 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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : 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_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 8628366440685/2111647514624*c_1001_3^5 + 27159852339861/2111647514624*c_1001_3^4 + 348079260856319/4223295029248*c_1001_3^3 + 1058470506645699/4223295029248*c_1001_3^2 + 1141098847391583/4223295029248*c_1001_3 + 199496923448497/2111647514624, c_0011_0 - 1, c_0011_10 - 239210/15733*c_1001_3^5 - 411276/15733*c_1001_3^4 - 4397467/15733*c_1001_3^3 - 8639768/15733*c_1001_3^2 - 6331388/15733*c_1001_3 - 1742760/15733, c_0011_4 + 152255/15733*c_1001_3^5 + 268413/15733*c_1001_3^4 + 5612789/31466*c_1001_3^3 + 11233011/31466*c_1001_3^2 + 8422897/31466*c_1001_3 + 1182188/15733, c_0011_7 + 34365/15733*c_1001_3^5 + 53339/15733*c_1001_3^4 + 1256675/31466*c_1001_3^3 + 2275121/31466*c_1001_3^2 + 1630165/31466*c_1001_3 + 226404/15733, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 152255/15733*c_1001_3^5 + 268413/15733*c_1001_3^4 + 5612789/31466*c_1001_3^3 + 11233011/31466*c_1001_3^2 + 8391431/31466*c_1001_3 + 1182188/15733, c_0101_3 - 150610/15733*c_1001_3^5 - 266226/15733*c_1001_3^4 - 2775003/15733*c_1001_3^3 - 5565669/15733*c_1001_3^2 - 4138434/15733*c_1001_3 - 1141457/15733, c_0101_7 - 86955/15733*c_1001_3^5 - 142863/15733*c_1001_3^4 - 3182145/31466*c_1001_3^3 - 6046525/31466*c_1001_3^2 - 4271345/31466*c_1001_3 - 560572/15733, c_1001_0 - 121320/15733*c_1001_3^5 - 196202/15733*c_1001_3^4 - 2219410/15733*c_1001_3^3 - 4160823/15733*c_1001_3^2 - 2950755/15733*c_1001_3 - 786976/15733, c_1001_10 - c_1001_3, c_1001_3^6 + 13/5*c_1001_3^5 + 199/10*c_1001_3^4 + 523/10*c_1001_3^3 + 583/10*c_1001_3^2 + 153/5*c_1001_3 + 32/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB