Magma V2.19-8 Tue Aug 20 2013 23:56:32 on localhost [Seed = 1410481247] Type ? for help. Type -D to quit. Loading file "L14n23791__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23791 geometric_solution 10.57310469 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 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 -1 -2 3 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 0.078673900451 0.713055098802 0 3 6 5 0132 1023 0132 0132 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 0 0 0 0 0 -3 3 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 0.169045453423 0.743957655387 7 0 8 6 0132 0132 0132 3120 0 0 1 1 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 1 -1 0 2 0 0 -2 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.217530993869 0.700170234629 1 4 7 0 1023 1023 1023 0132 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 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 0 0 0 0 0 0 0 0.751454537939 1.352859336586 3 7 0 6 1023 0132 0132 0321 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751454537939 1.352859336586 9 9 1 8 0132 1302 0132 1302 0 0 0 1 0 1 -1 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 3 -3 0 0 0 0 0 0 -3 0 3 13 -12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316223352985 0.519422794500 2 4 10 1 3120 0321 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 -3 0 3 2 0 -2 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 0.179270263027 0.675278761369 2 4 3 10 0132 0132 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 -2 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 0.368400936889 0.399180215876 10 11 5 2 2031 0132 2031 0132 0 0 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 0 0 0 0 0 2 -3 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 0.825649496969 0.252229382809 5 11 11 5 0132 2031 1230 2031 0 0 1 0 0 -1 0 1 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 -3 0 3 0 0 3 -3 -13 1 0 12 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927342705606 0.704444853020 11 7 8 6 2103 1302 1302 0132 0 0 0 1 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 -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 -0.060319796516 0.944031761547 9 8 10 9 1302 0132 2103 3012 0 0 0 1 0 -1 0 1 -1 0 1 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 -2 0 2 -2 0 2 0 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927342705606 0.704444853020 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_1001_6'], '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_0011_11'], 'c_0101_10' : d['c_0011_11'], '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' : 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_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_6']), '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'], '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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_2'], '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_0101_1'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0101_8, c_0101_9, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 40353384087/198931672*c_1001_6^6 + 1166947284789/795726688*c_1001_6^5 - 1863683615853/397863344*c_1001_6^4 + 6604164761391/795726688*c_1001_6^3 - 172752264579/20940176*c_1001_6^2 + 3292827391145/795726688*c_1001_6 - 39185314393/49732918, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 7425/233*c_1001_6^6 - 204363/932*c_1001_6^5 + 154323/233*c_1001_6^4 - 508227/466*c_1001_6^3 + 449109/466*c_1001_6^2 - 357379/932*c_1001_6 + 37327/932, c_0011_6 - 873/466*c_1001_6^6 + 21771/1864*c_1001_6^5 - 30771/932*c_1001_6^4 + 94781/1864*c_1001_6^3 - 38399/932*c_1001_6^2 + 26871/1864*c_1001_6 - 261/466, c_0101_0 - 1, c_0101_1 + 873/466*c_1001_6^6 - 21771/1864*c_1001_6^5 + 30771/932*c_1001_6^4 - 94781/1864*c_1001_6^3 + 38399/932*c_1001_6^2 - 26871/1864*c_1001_6 + 261/466, c_0101_2 - 9063/932*c_1001_6^6 + 254205/3728*c_1001_6^5 - 196659/932*c_1001_6^4 + 1336519/3728*c_1001_6^3 - 309853/932*c_1001_6^2 + 535769/3728*c_1001_6 - 32781/1864, c_0101_3 + 2898/233*c_1001_6^6 - 18900/233*c_1001_6^5 + 437103/1864*c_1001_6^4 - 343019/932*c_1001_6^3 + 569545/1864*c_1001_6^2 - 104999/932*c_1001_6 + 20563/1864, c_0101_6 - 5787/932*c_1001_6^6 + 162909/3728*c_1001_6^5 - 504567/3728*c_1001_6^4 + 855761/3728*c_1001_6^3 - 790257/3728*c_1001_6^2 + 337895/3728*c_1001_6 - 39149/3728, c_0101_8 + 4923/466*c_1001_6^6 - 129429/1864*c_1001_6^5 + 375561/1864*c_1001_6^4 - 591257/1864*c_1001_6^3 + 492747/1864*c_1001_6^2 - 183127/1864*c_1001_6 + 19519/1864, c_0101_9 + 31707/932*c_1001_6^6 - 882117/3728*c_1001_6^5 + 2684565/3728*c_1001_6^4 - 4454285/3728*c_1001_6^3 + 3969311/3728*c_1001_6^2 - 1594047/3728*c_1001_6 + 172767/3728, c_1001_6^7 - 31/4*c_1001_6^6 + 107/4*c_1001_6^5 - 470/9*c_1001_6^4 + 2155/36*c_1001_6^3 - 344/9*c_1001_6^2 + 47/4*c_1001_6 - 41/36 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB