Magma V2.19-8 Tue Aug 20 2013 20:13:38 on localhost [Seed = 998076246] Type ? for help. Type -D to quit. Loading file "11_380__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_380 geometric_solution 14.00652209 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 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 0.205808178657 0.581910317612 0 3 6 5 0132 1230 0132 0132 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 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 0.867386514065 1.023083100207 7 0 9 8 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396206694751 0.831885662257 10 11 1 0 0132 0132 3012 0132 0 0 0 0 0 0 0 0 -1 0 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 1 0 -1 1 0 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 0.664672576163 1.683952656243 8 11 0 12 1230 1230 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 -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 0.652011288875 1.834946647911 8 13 1 14 0213 0132 0132 0132 0 0 0 0 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 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 0.292101932791 1.085562490561 8 12 9 1 3201 1302 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.056614751583 1.290211159454 2 11 13 14 0132 1302 1302 2310 0 0 0 0 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 1 -1 0 1 0 0 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.024361990535 1.305945559993 5 4 2 6 0213 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964067125711 1.068442351214 6 14 12 2 2310 2310 0213 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 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 -0.011942178642 0.512901729039 3 13 12 13 0132 1230 2103 1023 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 -1 1 -1 0 0 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 0.359172333115 0.629254263418 14 3 4 7 1230 0132 3012 2031 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 -1 0 1 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 1.011421993416 1.200767889315 10 9 4 6 2103 0213 0132 2031 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.610472435940 0.787499970325 7 5 10 10 2031 0132 3012 1023 0 0 0 0 0 0 -1 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 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 0.794459412404 0.780111406235 7 11 5 9 3201 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 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 0.623027108418 0.783416471044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0011_10']), 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0110_14']), 'c_1001_7' : d['c_0011_14'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0110_14']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_13' : d['c_0101_3'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : d['c_0011_14'], 'c_1010_14' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 'c_0101_14' : d['c_0101_14'], '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0011_14'], 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0011_6'], 'c_1100_14' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_1100_11' : d['c_0110_14'], 'c_1100_10' : d['c_0011_12'], 'c_1100_13' : negation(d['c_0011_12']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0110_14']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_10']), 's_0_13' : d['1'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0110_14']), 'c_1010_9' : negation(d['c_0110_14']), 'c_1010_8' : negation(d['c_0101_1']), 'c_1100_8' : d['c_0011_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'], 'c_1100_12' : negation(d['c_1001_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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_13']), 'c_0011_4' : d['c_0011_4'], 'c_0101_13' : d['c_0011_14'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_14'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0011_14'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0110_14' : d['c_0110_14'], 'c_1010_4' : d['c_0101_11'], 'c_0101_12' : d['c_0011_8'], 'c_0011_7' : d['c_0011_0'], 's_0_8' : d['1'], 'c_0101_7' : negation(d['c_0011_13']), 'c_0101_6' : d['c_0101_14'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_14']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : negation(d['c_0011_13']), 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_14']), 'c_0110_8' : negation(d['c_0101_14']), 'c_0110_1' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : negation(d['c_0011_13']), 'c_0110_5' : d['c_0101_14'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0101_14']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_4, c_0011_6, c_0011_8, c_0011_9, c_0101_1, c_0101_11, c_0101_14, c_0101_3, c_0110_14, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 53664922/748297585*c_1001_1^9 - 445680078/748297585*c_1001_1^8 - 27975554/21379931*c_1001_1^7 - 1055575166/748297585*c_1001_1^6 - 1007162559/748297585*c_1001_1^5 - 329067821/149659517*c_1001_1^4 - 3614214666/748297585*c_1001_1^3 - 3365645622/748297585*c_1001_1^2 + 474618239/748297585*c_1001_1 + 241911748/149659517, c_0011_0 - 1, c_0011_10 - 518/2551*c_1001_1^9 - 198/2551*c_1001_1^8 - 939/2551*c_1001_1^7 - 1741/2551*c_1001_1^6 - 1483/2551*c_1001_1^5 - 4114/2551*c_1001_1^4 - 1556/2551*c_1001_1^3 - 3024/2551*c_1001_1^2 - 1866/2551*c_1001_1 + 1512/2551, c_0011_12 + 977/2551*c_1001_1^9 + 2038/2551*c_1001_1^8 + 3017/2551*c_1001_1^7 + 6273/2551*c_1001_1^6 + 8101/2551*c_1001_1^5 + 12300/2551*c_1001_1^4 + 15217/2551*c_1001_1^3 + 15356/2551*c_1001_1^2 + 16501/2551*c_1001_1 + 7628/2551, c_0011_13 - 216/2551*c_1001_1^9 - 1166/2551*c_1001_1^8 - 1278/2551*c_1001_1^7 - 2883/2551*c_1001_1^6 - 4765/2551*c_1001_1^5 - 5803/2551*c_1001_1^4 - 9730/2551*c_1001_1^3 - 7604/2551*c_1001_1^2 - 9288/2551*c_1001_1 - 6402/2551, c_0011_14 + 1490/2551*c_1001_1^9 + 2894/2551*c_1001_1^8 + 4139/2551*c_1001_1^7 + 8337/2551*c_1001_1^6 + 11446/2551*c_1001_1^5 + 16197/2551*c_1001_1^4 + 19831/2551*c_1001_1^3 + 19385/2551*c_1001_1^2 + 20703/2551*c_1001_1 + 9440/2551, c_0011_4 - 511/2551*c_1001_1^9 - 609/2551*c_1001_1^8 - 685/2551*c_1001_1^7 - 1683/2551*c_1001_1^6 - 2049/2551*c_1001_1^5 - 3300/2551*c_1001_1^4 - 2776/2551*c_1001_1^3 - 1880/2551*c_1001_1^2 - 4116/2551*c_1001_1 + 940/2551, c_0011_6 + 1, c_0011_8 + 1063/2551*c_1001_1^9 + 2455/2551*c_1001_1^8 + 3951/2551*c_1001_1^7 + 7350/2551*c_1001_1^6 + 10258/2551*c_1001_1^5 + 15012/2551*c_1001_1^4 + 17721/2551*c_1001_1^3 + 18478/2551*c_1001_1^2 + 17648/2551*c_1001_1 + 8618/2551, c_0011_9 + 1333/2551*c_1001_1^9 + 2637/2551*c_1001_1^8 + 4273/2551*c_1001_1^7 + 7765/2551*c_1001_1^6 + 11750/2551*c_1001_1^5 + 16526/2551*c_1001_1^4 + 18404/2551*c_1001_1^3 + 20330/2551*c_1001_1^2 + 19054/2551*c_1001_1 + 10243/2551, c_0101_1 + 55/2551*c_1001_1^9 + 415/2551*c_1001_1^8 + 538/2551*c_1001_1^7 + 1549/2551*c_1001_1^6 + 2477/2551*c_1001_1^5 + 2387/2551*c_1001_1^4 + 4627/2551*c_1001_1^3 + 4251/2551*c_1001_1^2 + 4916/2551*c_1001_1 + 4252/2551, c_0101_11 + 243/2551*c_1001_1^9 + 674/2551*c_1001_1^8 + 800/2551*c_1001_1^7 + 1649/2551*c_1001_1^6 + 1853/2551*c_1001_1^5 + 2383/2551*c_1001_1^4 + 3931/2551*c_1001_1^3 + 2177/2551*c_1001_1^2 + 5347/2551*c_1001_1 + 187/2551, c_0101_14 - 1490/2551*c_1001_1^9 - 2894/2551*c_1001_1^8 - 4139/2551*c_1001_1^7 - 8337/2551*c_1001_1^6 - 11446/2551*c_1001_1^5 - 16197/2551*c_1001_1^4 - 19831/2551*c_1001_1^3 - 19385/2551*c_1001_1^2 - 20703/2551*c_1001_1 - 9440/2551, c_0101_3 + 1254/2551*c_1001_1^9 + 1809/2551*c_1001_1^8 + 3593/2551*c_1001_1^7 + 6746/2551*c_1001_1^6 + 9027/2551*c_1001_1^5 + 14628/2551*c_1001_1^4 + 14680/2551*c_1001_1^3 + 15801/2551*c_1001_1^2 + 15657/2551*c_1001_1 + 6130/2551, c_0110_14 - 838/2551*c_1001_1^9 - 1453/2551*c_1001_1^8 - 1982/2551*c_1001_1^7 - 4028/2551*c_1001_1^6 - 4763/2551*c_1001_1^5 - 7798/2551*c_1001_1^4 - 7373/2551*c_1001_1^3 - 7581/2551*c_1001_1^2 - 7973/2551*c_1001_1 - 36/2551, c_1001_1^10 + 3*c_1001_1^9 + 5*c_1001_1^8 + 9*c_1001_1^7 + 14*c_1001_1^6 + 20*c_1001_1^5 + 26*c_1001_1^4 + 28*c_1001_1^3 + 29*c_1001_1^2 + 21*c_1001_1 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 218.340 Total time: 218.550 seconds, Total memory usage: 1694.59MB