Magma V2.19-8 Wed Aug 21 2013 00:00:23 on localhost [Seed = 1443905390] Type ? for help. Type -D to quit. Loading file "L14n4802__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n4802 geometric_solution 10.31877867 oriented_manifold CS_known 0.0000000000000000 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 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 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 0 0 0 1.047717530387 0.903268822606 0 2 4 5 0132 3012 3012 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0.452490634070 0.472024306157 1 0 5 4 1230 0132 1230 1230 0 1 1 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 0 0 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 0.047717530387 0.903268822606 6 7 8 0 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 0 -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 0.357471902209 1.416072918471 2 1 0 7 3012 1230 0132 0132 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 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 0 0 0 0.552773153294 0.524322111638 6 9 1 2 2103 0132 0132 3012 1 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 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 0 0 0.105546306587 1.048644223277 3 10 5 11 0132 0132 2103 0132 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931534202167 0.941684071345 11 3 4 8 3120 0132 0132 0132 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 -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 -0.952282469613 0.903268822606 9 9 7 3 3120 1230 0132 0132 0 0 1 1 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 -1 0 1 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221608455847 0.442581843076 11 5 8 8 0132 0132 3012 3120 1 0 1 1 0 0 1 -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 1 -3 2 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 0.221608455847 0.442581843076 11 6 10 10 1302 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507806345867 0.301974611094 9 10 6 7 0132 2031 0132 3120 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526617611821 1.423511177511 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_0101_8'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : d['c_1100_0'], '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' : 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' : negation(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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_11']})} 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 121479997322500917389/7141349332656*c_1100_0^5 + 95342351442106832617/3570674666328*c_1100_0^4 - 6848982471591361625/446334333291*c_1100_0^3 + 1045785890782800323/297556222194*c_1100_0^2 - 32083942978705094/446334333291*c_1100_0 - 28426585511050696/446334333291, c_0011_0 - 1, c_0011_10 + 4122718399659/2289994976*c_1100_0^5 - 2936633020605/1144997488*c_1100_0^4 + 1682163312727/1144997488*c_1100_0^3 - 248099150337/572498744*c_1100_0^2 + 19191007093/286249372*c_1100_0 - 330869608/71562343, c_0011_11 - 13303037926645/4579989952*c_1100_0^5 + 5431109457623/1144997488*c_1100_0^4 - 3498171772267/1144997488*c_1100_0^3 + 277677894443/286249372*c_1100_0^2 - 42789496869/286249372*c_1100_0 + 691323782/71562343, c_0011_8 - 15749224416569/4579989952*c_1100_0^5 + 12179682661395/2289994976*c_1100_0^4 - 1877572164115/572498744*c_1100_0^3 + 143009581239/143124686*c_1100_0^2 - 42983675241/286249372*c_1100_0 + 1335759801/143124686, c_0101_0 - 1, c_0101_1 + 105292852930/71562343*c_1100_0^5 - 161336325923/71562343*c_1100_0^4 + 98750388338/71562343*c_1100_0^3 - 29853393095/71562343*c_1100_0^2 + 4504444889/71562343*c_1100_0 - 347279232/71562343, c_0101_11 + 198663753466/71562343*c_1100_0^5 - 4628664299283/1144997488*c_1100_0^4 + 668730091069/286249372*c_1100_0^3 - 48908635957/71562343*c_1100_0^2 + 14728861555/143124686*c_1100_0 - 490493778/71562343, c_0101_7 + 210585705860/71562343*c_1100_0^5 - 322672651846/71562343*c_1100_0^4 + 197500776676/71562343*c_1100_0^3 - 59706786190/71562343*c_1100_0^2 + 9008889778/71562343*c_1100_0 - 622996121/71562343, c_0101_8 + 53179651/64496*c_1100_0^5 - 70106559/64496*c_1100_0^4 + 19416613/32248*c_1100_0^3 - 2955253/16124*c_1100_0^2 + 125673/4031*c_1100_0 - 9646/4031, c_0110_10 + 20780337793623/4579989952*c_1100_0^5 - 15787523083259/2289994976*c_1100_0^4 + 4675936284263/1144997488*c_1100_0^3 - 338439923913/286249372*c_1100_0^2 + 11844132318/71562343*c_1100_0 - 1366726211/143124686, c_1001_2 + 105292852930/71562343*c_1100_0^5 - 161336325923/71562343*c_1100_0^4 + 98750388338/71562343*c_1100_0^3 - 29853393095/71562343*c_1100_0^2 + 4504444889/71562343*c_1100_0 - 347279232/71562343, c_1100_0^6 - 112790/57121*c_1100_0^5 + 91928/57121*c_1100_0^4 - 39520/57121*c_1100_0^3 + 9424/57121*c_1100_0^2 - 1184/57121*c_1100_0 + 64/57121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB