Magma V2.19-8 Tue Aug 20 2013 23:58:03 on localhost [Seed = 728580995] Type ? for help. Type -D to quit. Loading file "L14n38620__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38620 geometric_solution 11.14184496 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 1 0 -1 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 -3 -1 4 -1 0 1 0 -1 5 0 -4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615951631722 1.033789504398 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 0 0 0 0 -1 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 1 0 3 -4 -4 4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910032596056 0.654442797092 6 0 7 8 0132 0132 1023 0132 0 0 1 1 0 -1 1 0 -1 0 1 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 3 -3 0 4 0 -4 0 -5 4 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720741727954 0.663957711133 8 9 10 0 0132 0132 0132 0132 0 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 -1 1 1 0 0 -1 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395725176907 1.119652927387 11 10 0 8 0132 2103 0132 0213 0 0 0 1 0 -1 1 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 4 -4 0 0 0 0 0 0 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447435794010 0.538031154129 9 1 10 8 2031 0132 1023 2031 0 0 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 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615951631722 1.033789504398 2 11 1 9 0132 3120 0132 0213 0 0 1 1 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 -4 0 4 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615815083700 0.319618940435 11 9 2 1 3120 2031 1023 0132 0 0 1 1 0 1 -1 0 0 0 -1 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 -4 4 0 0 0 3 -3 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615815083700 0.319618940435 3 5 2 4 0132 1302 0132 0213 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719387847234 0.793955595042 7 3 5 6 1302 0132 1302 0213 0 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 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 0 0 0 0 0.249468537950 0.691400445331 11 4 5 3 2310 2103 1023 0132 0 0 0 1 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 -1 0 1 0 0 0 0 0 -4 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447435794010 0.538031154129 4 6 10 7 0132 3120 3201 3120 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691082574983 0.683839779070 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_0110_5'], 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_8']), 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1010_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : negation(d['c_1001_3']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0110_5, c_1001_3, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 5466218122949/4338237833216*c_1010_8^6 + 580429814242483/17352951332864*c_1010_8^5 + 1777618807901865/8676475666432*c_1010_8^4 - 14519702015565/542279729152*c_1010_8^3 - 258455664834803/2169118916608*c_1010_8^2 + 2633437782461/33892483072*c_1010_8 + 17583641352239/271139864576, c_0011_0 - 1, c_0011_10 + 138459/33098128*c_1010_8^6 + 15323725/132392512*c_1010_8^5 + 53488515/66196256*c_1010_8^4 + 3153469/4137266*c_1010_8^3 + 677029/16549064*c_1010_8^2 - 1878598/2068633*c_1010_8 + 505310/2068633, c_0011_11 - 138459/33098128*c_1010_8^6 - 15323725/132392512*c_1010_8^5 - 53488515/66196256*c_1010_8^4 - 3153469/4137266*c_1010_8^3 - 677029/16549064*c_1010_8^2 + 1878598/2068633*c_1010_8 - 505310/2068633, c_0011_3 - 1, c_0101_0 - 1, c_0101_1 - 118033/8274532*c_1010_8^6 - 12632127/33098128*c_1010_8^5 - 19852985/8274532*c_1010_8^4 - 3090431/16549064*c_1010_8^3 + 12729025/8274532*c_1010_8^2 + 666289/4137266*c_1010_8 - 1256959/2068633, c_0101_10 - 118033/8274532*c_1010_8^6 - 12632127/33098128*c_1010_8^5 - 19852985/8274532*c_1010_8^4 - 3090431/16549064*c_1010_8^3 + 12729025/8274532*c_1010_8^2 + 666289/4137266*c_1010_8 - 1256959/2068633, c_0101_11 + 146317/33098128*c_1010_8^6 + 15034875/132392512*c_1010_8^5 + 40616567/66196256*c_1010_8^4 - 13396081/16549064*c_1010_8^3 - 13372795/16549064*c_1010_8^2 - 1042360/2068633*c_1010_8 + 991589/2068633, c_0101_2 - 1391/4728304*c_1010_8^6 - 328553/18913216*c_1010_8^5 - 2706157/9456608*c_1010_8^4 - 334597/295519*c_1010_8^3 + 6552043/2364152*c_1010_8^2 - 73797/591038*c_1010_8 - 433008/295519, c_0110_5 - 13021/675472*c_1010_8^6 - 1364011/2701888*c_1010_8^5 - 3991511/1350944*c_1010_8^4 + 35051/24124*c_1010_8^3 + 461599/337736*c_1010_8^2 - 29737/84434*c_1010_8 - 49572/42217, c_1001_3 - 42697/16549064*c_1010_8^6 - 4578271/66196256*c_1010_8^5 - 14446091/33098128*c_1010_8^4 - 298219/16549064*c_1010_8^3 + 6013285/8274532*c_1010_8^2 + 1251060/2068633*c_1010_8 - 1792916/2068633, c_1010_8^7 + 103/4*c_1010_8^6 + 283/2*c_1010_8^5 - 150*c_1010_8^4 - 78*c_1010_8^3 + 104*c_1010_8^2 + 48*c_1010_8 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB