Magma V2.19-8 Tue Aug 20 2013 23:26:33 on localhost [Seed = 4256931038] Type ? for help. Type -D to quit. Loading file "K13n3523__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3523 geometric_solution 6.08444991 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 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 0 0 0 0 0 0 0 -1 1 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 0.365746830729 0.508934867517 0 4 0 2 0132 0132 1230 3012 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 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 0.448537728184 0.977139591934 4 0 1 3 3201 0132 1230 3012 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 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655459885770 0.337206191787 5 5 2 0 0132 2310 1230 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 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 0.811794313417 2.413026012399 6 1 6 2 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660021431092 1.034608136162 3 6 6 3 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049067343956 0.539826038568 4 4 5 5 0132 3201 2310 0132 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.190827583671 1.323134358679 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : 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_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], '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_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_1']), '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_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 82252286782658177/55953228806275968*c_0110_2^9 + 1056045147610687751/181847993620396896*c_0110_2^8 - 23681840156774746565/727391974481587584*c_0110_2^7 + 1391623220382886363/55953228806275968*c_0110_2^6 - 29035922586529799437/727391974481587584*c_0110_2^5 + 3716702441872909897/90923996810198448*c_0110_2^4 - 12457595865501412577/181847993620396896*c_0110_2^3 - 1135462017908861375/90923996810198448*c_0110_2^2 - 66788182049538928/1894249933545801*c_0110_2 - 257381814995907071/11365499601274806, c_0011_0 - 1, c_0011_3 - 5877193690771/18954345801584*c_0110_2^9 + 23798545870061/18954345801584*c_0110_2^8 - 132120677692923/18954345801584*c_0110_2^7 + 55361493002095/9477172900792*c_0110_2^6 - 80610569633257/9477172900792*c_0110_2^5 + 170003569312537/18954345801584*c_0110_2^4 - 71337320743269/4738586450396*c_0110_2^3 - 1138479373351/1184646612599*c_0110_2^2 - 7307940339088/1184646612599*c_0110_2 - 4867870679168/1184646612599, c_0101_0 + 3106907117093/28431518702376*c_0110_2^9 - 28323148029229/56863037404752*c_0110_2^8 + 19076092250597/7107879675594*c_0110_2^7 - 187848233570831/56863037404752*c_0110_2^6 + 229647658383299/56863037404752*c_0110_2^5 - 251070762361015/56863037404752*c_0110_2^4 + 190913133756971/28431518702376*c_0110_2^3 - 6857038639162/3553939837797*c_0110_2^2 + 2520789549959/1184646612599*c_0110_2 + 3445462931068/3553939837797, c_0101_1 - 1317363601905/75817383206336*c_0110_2^9 + 799519124275/9477172900792*c_0110_2^8 - 32289719829001/75817383206336*c_0110_2^7 + 42125842376631/75817383206336*c_0110_2^6 - 19642726906533/75817383206336*c_0110_2^5 + 9892737966377/18954345801584*c_0110_2^4 - 15293072391041/18954345801584*c_0110_2^3 + 7196427121023/9477172900792*c_0110_2^2 + 723527508841/2369293225198*c_0110_2 + 229100766437/1184646612599, c_0101_2 + 22309864147597/113726074809504*c_0110_2^9 - 45517931572421/56863037404752*c_0110_2^8 + 506315937346225/113726074809504*c_0110_2^7 - 445696146202253/113726074809504*c_0110_2^6 + 677896622395499/113726074809504*c_0110_2^5 - 370817476126337/56863037404752*c_0110_2^4 + 150332958054299/14215759351188*c_0110_2^3 + 660725255908/3553939837797*c_0110_2^2 + 5958596458861/1184646612599*c_0110_2 + 9299893847966/3553939837797, c_0101_3 - 26792105492165/113726074809504*c_0110_2^9 + 54261738008941/56863037404752*c_0110_2^8 - 598397492255837/113726074809504*c_0110_2^7 + 488788413018973/113726074809504*c_0110_2^6 - 648340063115143/113726074809504*c_0110_2^5 + 352982552658235/56863037404752*c_0110_2^4 - 320119971438857/28431518702376*c_0110_2^3 - 26815639747535/14215759351188*c_0110_2^2 - 9091233932509/2369293225198*c_0110_2 - 10486569901051/3553939837797, c_0110_2^10 - 48/13*c_0110_2^9 + 21*c_0110_2^8 - 139/13*c_0110_2^7 + 261/13*c_0110_2^6 - 248/13*c_0110_2^5 + 504/13*c_0110_2^4 + 288/13*c_0110_2^3 + 272/13*c_0110_2^2 + 256/13*c_0110_2 + 64/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB