Magma V2.19-8 Tue Aug 20 2013 23:56:06 on localhost [Seed = 121728804] Type ? for help. Type -D to quit. Loading file "L14n14358__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14358 geometric_solution 11.36989281 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 0 0 0 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 0 0 0 0 1 -1 -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 0.367512706216 0.826623593427 0 0 5 4 0132 1230 0132 0132 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 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 0.583827198863 0.763027718988 6 0 7 6 0132 0132 0132 2031 0 0 1 0 0 1 -1 0 0 0 -1 1 -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 1 -1 -14 1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249921307374 1.205113835081 4 7 0 8 3201 1023 0132 0132 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 -1 1 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 0.401712465622 1.431288469040 9 9 1 3 0132 1302 0132 2310 0 0 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 0 0 0 0 0 1 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417131535434 0.824907613403 9 8 7 1 2310 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530867122525 1.183975332568 2 2 9 10 0132 1302 3012 0132 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 14 -13 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835009305213 0.795580701130 3 5 10 2 1023 3201 3012 0132 0 0 0 0 0 -1 0 1 -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 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 -0.141947057924 0.566220840565 11 11 3 5 0132 2310 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.087008847822 1.043185118821 4 6 5 4 0132 1230 3201 2031 0 0 1 0 0 0 1 -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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571323044150 0.808567897360 11 7 6 11 1230 1230 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447295329488 0.421592180908 8 10 10 8 0132 3012 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036811135081 0.918333563618 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_11']), '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' : negation(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' : 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_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : negation(d['c_1001_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_5']), 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : negation(d['c_0011_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_5']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} 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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1115802118213485/66670674863*c_1001_10^5 + 3961816168414955/66670674863*c_1001_10^4 - 220939148478063/5128513451*c_1001_10^3 + 1060741869231432/66670674863*c_1001_10^2 - 160093036221886/66670674863*c_1001_10 + 819181293787/66670674863, c_0011_0 - 1, c_0011_10 - 28185819/268607*c_1001_10^5 + 89618453/268607*c_1001_10^4 - 36791812/268607*c_1001_10^3 + 5136624/268607*c_1001_10^2 + 1513149/268607*c_1001_10 - 608100/268607, c_0011_11 - 25037880/268607*c_1001_10^5 + 83578022/268607*c_1001_10^4 - 44958686/268607*c_1001_10^3 + 8578543/268607*c_1001_10^2 + 924129/268607*c_1001_10 - 642917/268607, c_0011_3 + 12628656/268607*c_1001_10^5 - 37775631/268607*c_1001_10^4 + 9549160/268607*c_1001_10^3 - 1077705/268607*c_1001_10^2 - 539977/268607*c_1001_10 + 107300/268607, c_0011_4 + 63334668/268607*c_1001_10^5 - 207508126/268607*c_1001_10^4 + 101025562/268607*c_1001_10^3 - 15639519/268607*c_1001_10^2 - 4225204/268607*c_1001_10 + 1596899/268607, c_0011_5 - 43649502/268607*c_1001_10^5 + 142213949/268607*c_1001_10^4 - 67733779/268607*c_1001_10^3 + 11949923/268607*c_1001_10^2 + 1947768/268607*c_1001_10 - 878218/268607, c_0101_0 + 74414016/268607*c_1001_10^5 - 241065120/268607*c_1001_10^4 + 109562108/268607*c_1001_10^3 - 14399893/268607*c_1001_10^2 - 3404195/268607*c_1001_10 + 1562278/268607, c_0101_1 - 1, c_0101_10 + 15557163/268607*c_1001_10^5 - 51842822/268607*c_1001_10^4 + 27242652/268607*c_1001_10^3 - 4058919/268607*c_1001_10^2 - 1241779/268607*c_1001_10 + 500800/268607, c_0101_11 + 53223699/268607*c_1001_10^5 - 173196475/268607*c_1001_10^4 + 81750498/268607*c_1001_10^3 - 13715167/268607*c_1001_10^2 - 2437278/268607*c_1001_10 + 1251017/268607, c_1001_1 - 47240733/268607*c_1001_10^5 + 152336179/268607*c_1001_10^4 - 68524565/268607*c_1001_10^3 + 11421492/268607*c_1001_10^2 + 2490830/268607*c_1001_10 - 1391623/268607, c_1001_10^6 - 440/123*c_1001_10^5 + 106/41*c_1001_10^4 - 92/123*c_1001_10^3 + 4/123*c_1001_10^2 + 5/123*c_1001_10 - 1/123 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB