Magma V2.19-8 Wed Aug 21 2013 01:09:24 on localhost [Seed = 3835886953] Type ? for help. Type -D to quit. Loading file "L14n4616__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n4616 geometric_solution 12.17755534 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1302 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432258766292 1.007582310576 0 4 4 5 0132 0132 3201 0132 0 1 0 1 0 0 0 0 0 0 0 0 -2 0 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 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 0.640404589676 0.838206191895 5 0 0 4 3201 0132 2031 2103 1 1 0 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 1 -1 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 0.640404589676 0.838206191895 6 7 8 0 0132 0132 0132 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491383443576 0.476065624346 1 1 7 2 2310 0132 1023 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424462854443 0.753303156862 6 9 1 2 2103 0132 0132 2310 0 1 1 0 0 -1 0 1 0 0 0 0 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 -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 0.236222640223 0.867107897279 3 10 5 8 0132 0132 2103 0132 1 1 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 0 0 0 0 0 1 -1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.084555877064 0.653363411756 9 3 4 10 3012 0132 1023 1230 1 0 1 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.432258766292 1.007582310576 11 12 6 3 0132 0132 0132 0132 1 1 1 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 0 0 -1 0 1 0 -5 4 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.060768003260 0.744414288583 11 5 11 7 2103 0132 0132 1230 0 1 0 1 0 1 -1 0 0 0 0 0 1 -2 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 1 -1 0 -1 0 1 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224112942908 1.176958429256 7 6 12 11 3012 0132 1023 3201 1 1 0 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828995564591 0.649102825291 8 10 9 9 0132 2310 2103 0132 0 1 1 1 0 0 -1 1 0 0 0 0 1 0 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 1 0 0 -1 -4 0 0 4 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390436098060 0.592260242645 12 8 10 12 3012 0132 1023 1230 1 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617418970620 1.238008743126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0011_5'], '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' : negation(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' : 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_0101_2'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0110_10']), 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : negation(d['c_0110_10']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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_0011_11'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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_11'], 'c_0101_8' : d['c_0101_11'], '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_10']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_10'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_11']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_0101_7, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2436967939/24960*c_0110_10^10 - 1072000469/3328*c_0110_10^9 + 13895186519/19968*c_0110_10^8 - 31330373453/33280*c_0110_10^7 + 124894725419/133120*c_0110_10^6 - 19463379311/30720*c_0110_10^5 + 235719071303/798720*c_0110_10^4 - 166751537/2560*c_0110_10^3 - 10115568287/2129920*c_0110_10^2 + 29591580601/3194880*c_0110_10 - 7925733293/6389760, c_0011_0 - 1, c_0011_10 - 32*c_0110_10^10 + 208*c_0110_10^9 - 488*c_0110_10^8 + 792*c_0110_10^7 - 822*c_0110_10^6 + 622*c_0110_10^5 - 293*c_0110_10^4 + 82*c_0110_10^3 + 15/8*c_0110_10^2 - 13/2*c_0110_10 + 13/8, c_0011_11 + 8*c_0110_10^10 - 20*c_0110_10^9 + 42*c_0110_10^8 - 46*c_0110_10^7 + 91/2*c_0110_10^6 - 43/2*c_0110_10^5 + 53/4*c_0110_10^4 - 3/2*c_0110_10^3 + 113/32*c_0110_10^2 - 3/4*c_0110_10 + 31/32, c_0011_5 + 2*c_0110_10^2 - 2*c_0110_10 + 1, c_0101_0 - c_0110_10, c_0101_1 - 1, c_0101_10 - 296*c_0110_10^10 + 804*c_0110_10^9 - 1522*c_0110_10^8 + 1686*c_0110_10^7 - 2727/2*c_0110_10^6 + 1295/2*c_0110_10^5 - 681/4*c_0110_10^4 - 53/2*c_0110_10^3 + 747/32*c_0110_10^2 - 5*c_0110_10 - 19/32, c_0101_11 + 104*c_0110_10^10 - 324*c_0110_10^9 + 642*c_0110_10^8 - 774*c_0110_10^7 + 1311/2*c_0110_10^6 - 679/2*c_0110_10^5 + 369/4*c_0110_10^4 + 29/2*c_0110_10^3 - 515/32*c_0110_10^2 + 4*c_0110_10 + 11/32, c_0101_12 - 168*c_0110_10^10 + 484*c_0110_10^9 - 978*c_0110_10^8 + 1206*c_0110_10^7 - 2231/2*c_0110_10^6 + 1375/2*c_0110_10^5 - 1177/4*c_0110_10^4 + 123/2*c_0110_10^3 + 59/32*c_0110_10^2 - 5*c_0110_10 + 29/32, c_0101_2 - c_0110_10 + 1, c_0101_4 + 1, c_0101_7 + c_0110_10 - 1, c_0110_10^11 - 7/2*c_0110_10^10 + 31/4*c_0110_10^9 - 11*c_0110_10^8 + 183/16*c_0110_10^7 - 67/8*c_0110_10^6 + 139/32*c_0110_10^5 - 43/32*c_0110_10^4 + 33/256*c_0110_10^3 + 23/256*c_0110_10^2 - 9/256*c_0110_10 + 1/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.520 seconds, Total memory usage: 32.09MB