Magma V2.19-8 Wed Aug 21 2013 01:03:45 on localhost [Seed = 2050777695] Type ? for help. Type -D to quit. Loading file "L14n22108__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n22108 geometric_solution 10.72522683 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 0 0 -1 0 2 -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 1 -1 -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 0.622169603545 0.870099676499 0 5 6 2 0132 0132 0132 3120 0 0 1 0 0 0 0 0 1 0 0 -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 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 0 0 0 0.238543871740 0.512384651396 1 0 7 7 3120 0132 3201 0132 1 0 1 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 1.357496503004 0.679630934254 4 8 9 0 1302 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 1 -2 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 1 0 -1 0 0 1 -1 1 0 0 -1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.693923218104 1.959246572303 10 3 0 9 0132 2031 0132 0132 1 0 1 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 -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 -0.638048714273 0.499515158535 11 1 11 6 0132 0132 3012 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120937872512 0.940826797388 5 12 7 1 3201 0132 1230 0132 0 0 0 1 0 -1 1 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 -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 -0.383412101454 0.613995920057 2 8 2 6 2310 0213 0132 3012 1 0 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 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 -0.029474281575 0.647184463596 12 3 7 10 3012 0132 0213 0132 1 0 1 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 -1 0 1 0 0 0 0 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391141736490 0.596677539707 10 11 4 3 1230 0321 0132 0132 1 0 1 1 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 0 0 0 1 0 0 -1 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325316205551 0.449745005611 4 9 8 12 0132 3012 0132 1302 1 0 0 1 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 0 -1 1 0 0 0 0 0 -1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502956465923 2.129415911682 5 5 12 9 0132 1230 2103 0321 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 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 0.530224575889 0.567479219081 11 6 10 8 2103 0132 2031 1230 0 1 1 0 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 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 0 0 0 0 0 0 0.457413360010 1.465600305017 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : negation(d['c_0101_1']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0101_10']), '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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : negation(d['c_0011_9']), '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' : d['c_0101_10'], '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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_9']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], '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_10'], 'c_0101_8' : d['c_0011_7'], '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' : d['c_0011_10'], 'c_0110_8' : d['c_0101_10'], '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_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 48866634132858277/11681654048064*c_1100_0^10 + 362004296124839383/11681654048064*c_1100_0^9 + 202604492094055349/1668807721152*c_1100_0^8 + 7047680542393883/18963724104*c_1100_0^7 + 2545092135972677933/3893884682688*c_1100_0^6 + 601663423943405575/973471170672*c_1100_0^5 + 1088726583325771417/11681654048064*c_1100_0^4 - 674040030326639519/265492137456*c_1100_0^3 + 177003953827152301/265492137456*c_1100_0^2 + 2976585034374932467/1061968549824*c_1100_0 - 329338611807249125/324490390224, c_0011_0 - 1, c_0011_10 - 2154575/39095424*c_1100_0^10 - 1976929/4886928*c_1100_0^9 - 30708983/19547712*c_1100_0^8 - 186933793/39095424*c_1100_0^7 - 35809489/4343936*c_1100_0^6 - 96647063/13031808*c_1100_0^5 - 12309611/39095424*c_1100_0^4 + 1334308061/39095424*c_1100_0^3 - 102516403/9773856*c_1100_0^2 - 1435132591/39095424*c_1100_0 + 189943855/13031808, c_0011_12 - 563009/1085984*c_1100_0^10 - 2084069/542992*c_1100_0^9 - 4079375/271496*c_1100_0^8 - 49919111/1085984*c_1100_0^7 - 87640441/1085984*c_1100_0^6 - 82488309/1085984*c_1100_0^5 - 11653915/1085984*c_1100_0^4 + 342225491/1085984*c_1100_0^3 - 45780519/542992*c_1100_0^2 - 378760637/1085984*c_1100_0 + 138970767/1085984, c_0011_3 + 1443991/39095424*c_1100_0^10 + 1325903/4886928*c_1100_0^9 + 20612371/19547712*c_1100_0^8 + 125335097/39095424*c_1100_0^7 + 23957905/4343936*c_1100_0^6 + 64020775/13031808*c_1100_0^5 + 2609875/39095424*c_1100_0^4 - 900577237/39095424*c_1100_0^3 + 67710041/9773856*c_1100_0^2 + 988530863/39095424*c_1100_0 - 130522415/13031808, c_0011_7 + 458273/19547712*c_1100_0^10 + 3395189/19547712*c_1100_0^9 + 13246033/19547712*c_1100_0^8 + 20176985/9773856*c_1100_0^7 + 7813811/2171968*c_1100_0^6 + 10684981/3257952*c_1100_0^5 + 5421857/19547712*c_1100_0^4 - 140129407/9773856*c_1100_0^3 + 19693291/4886928*c_1100_0^2 + 327005881/19547712*c_1100_0 - 20079335/3257952, c_0011_9 + 2054125/39095424*c_1100_0^10 + 3787657/9773856*c_1100_0^9 + 29563399/19547712*c_1100_0^8 + 180586991/39095424*c_1100_0^7 + 34994699/4343936*c_1100_0^6 + 97658305/13031808*c_1100_0^5 + 36934585/39095424*c_1100_0^4 - 1244515555/39095424*c_1100_0^3 + 97076387/9773856*c_1100_0^2 + 1386467981/39095424*c_1100_0 - 181621217/13031808, c_0101_0 - 1294247/39095424*c_1100_0^10 - 4750579/19547712*c_1100_0^9 - 1153025/1221732*c_1100_0^8 - 112262755/39095424*c_1100_0^7 - 21490417/4343936*c_1100_0^6 - 57823805/13031808*c_1100_0^5 - 5353763/39095424*c_1100_0^4 + 809018255/39095424*c_1100_0^3 - 59989603/9773856*c_1100_0^2 - 861561295/39095424*c_1100_0 + 112779109/13031808, c_0101_1 - 1, c_0101_10 + 1003271/19547712*c_1100_0^10 + 928525/2443464*c_1100_0^9 + 14540675/9773856*c_1100_0^8 + 88984333/19547712*c_1100_0^7 + 17367741/2171968*c_1100_0^6 + 48992711/6515904*c_1100_0^5 + 20926367/19547712*c_1100_0^4 - 609465929/19547712*c_1100_0^3 + 10080277/1221732*c_1100_0^2 + 685928479/19547712*c_1100_0 - 86715691/6515904, c_0101_11 - 18214199/39095424*c_1100_0^10 - 33725585/9773856*c_1100_0^9 - 264151601/19547712*c_1100_0^8 - 1616501005/39095424*c_1100_0^7 - 315567065/4343936*c_1100_0^6 - 892201403/13031808*c_1100_0^5 - 382606355/39095424*c_1100_0^4 + 11075602121/39095424*c_1100_0^3 - 726972955/9773856*c_1100_0^2 - 12248914951/39095424*c_1100_0 + 1486027987/13031808, c_0101_2 - 1294247/39095424*c_1100_0^10 - 4750579/19547712*c_1100_0^9 - 1153025/1221732*c_1100_0^8 - 112262755/39095424*c_1100_0^7 - 21490417/4343936*c_1100_0^6 - 57823805/13031808*c_1100_0^5 - 5353763/39095424*c_1100_0^4 + 809018255/39095424*c_1100_0^3 - 59989603/9773856*c_1100_0^2 - 861561295/39095424*c_1100_0 + 99747301/13031808, c_1001_0 - 645551/39095424*c_1100_0^10 - 1181531/9773856*c_1100_0^9 - 9156491/19547712*c_1100_0^8 - 55685509/39095424*c_1100_0^7 - 10659917/4343936*c_1100_0^6 - 28982039/13031808*c_1100_0^5 - 7459211/39095424*c_1100_0^4 + 388002761/39095424*c_1100_0^3 - 16065485/4886928*c_1100_0^2 - 423451027/39095424*c_1100_0 + 61797583/13031808, c_1100_0^11 + 7*c_1100_0^10 + 26*c_1100_0^9 + 77*c_1100_0^8 + 120*c_1100_0^7 + 84*c_1100_0^6 - 38*c_1100_0^5 - 616*c_1100_0^4 + 407*c_1100_0^3 + 605*c_1100_0^2 - 516*c_1100_0 + 99 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.550 Total time: 0.760 seconds, Total memory usage: 32.09MB