Magma V2.19-8 Tue Aug 20 2013 23:39:14 on localhost [Seed = 3035812064] Type ? for help. Type -D to quit. Loading file "K11n42__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n42 geometric_solution 11.21911773 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286039878118 0.461018801231 0 5 6 5 0132 0132 0132 1302 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284545069693 0.705622416040 7 0 4 6 0132 0132 2103 3201 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 1 -1 0 0 0 0 0 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590242665654 1.361942922892 8 9 10 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943143766292 1.645106195839 2 10 0 8 2103 0132 0132 2031 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 -1 1 0 0 0 0 1 0 0 -1 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741070737885 0.848338916393 11 1 1 7 0132 0132 2031 3012 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.064744384369 0.700875493003 7 2 9 1 3120 2310 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441421450209 1.280975411465 2 8 5 6 0132 3201 1230 3120 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 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.016798859628 1.286471244952 3 4 7 11 0132 1302 2310 3201 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 2 -2 -1 0 1 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 0.641537829335 0.648966807904 11 3 6 10 3201 0132 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221719332588 0.675972107918 9 4 11 3 3120 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620154084984 0.664442919927 5 8 10 9 0132 2310 0321 2310 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 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684702687586 0.513112485723 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), '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' : negation(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_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : negation(d['c_0011_6']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_1001_11']), 's_3_1' : negation(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' : negation(d['1']), 's_1_4' : 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_3']), '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_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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_0']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 27108096467236385682428/48871019858509311041*c_1001_11^10 - 361913161579704621912719/97742039717018622082*c_1001_11^9 - 1021379281082159790538623/97742039717018622082*c_1001_11^8 + 3065119347489232200918945/48871019858509311041*c_1001_11^7 - 4468860516524972613085872/48871019858509311041*c_1001_11^6 + 1524361651772502650263013/97742039717018622082*c_1001_11^5 + 4704983259951043183821281/48871019858509311041*c_1001_11^4 - 4576357892679481336042371/48871019858509311041*c_1001_11^3 + 1051012940942199105284477/97742039717018622082*c_1001_11^2 + 1722602259321683183033740/48871019858509311041*c_1001_11 - 2810879279148830048575929/97742039717018622082, c_0011_0 - 1, c_0011_10 + 16512852162/1663434542443*c_1001_11^10 + 114410864717/1663434542443*c_1001_11^9 + 354889254645/1663434542443*c_1001_11^8 - 1687116092278/1663434542443*c_1001_11^7 + 2532864140802/1663434542443*c_1001_11^6 - 1520591145728/1663434542443*c_1001_11^5 + 774186441064/1663434542443*c_1001_11^4 + 4529225814/1663434542443*c_1001_11^3 - 1676557842336/1663434542443*c_1001_11^2 + 2086841767450/1663434542443*c_1001_11 + 115767968734/1663434542443, c_0011_3 + 1973167860/1663434542443*c_1001_11^10 + 49409679823/1663434542443*c_1001_11^9 + 309857921121/1663434542443*c_1001_11^8 + 689858574874/1663434542443*c_1001_11^7 - 3019606305630/1663434542443*c_1001_11^6 + 2943268385365/1663434542443*c_1001_11^5 + 967483961288/1663434542443*c_1001_11^4 - 3882320633890/1663434542443*c_1001_11^3 + 1461646079332/1663434542443*c_1001_11^2 - 415081029922/1663434542443*c_1001_11 - 30235063219/1663434542443, c_0011_6 - 39524052398/1663434542443*c_1001_11^10 - 263802248271/1663434542443*c_1001_11^9 - 789664140193/1663434542443*c_1001_11^8 + 4129085953148/1663434542443*c_1001_11^7 - 7685486692053/1663434542443*c_1001_11^6 + 5078414045503/1663434542443*c_1001_11^5 + 2136750032129/1663434542443*c_1001_11^4 - 6932007825016/1663434542443*c_1001_11^3 + 4266502120519/1663434542443*c_1001_11^2 + 1159230586464/1663434542443*c_1001_11 - 807710055316/1663434542443, c_0101_0 - 59310304116/1663434542443*c_1001_11^10 - 410387519773/1663434542443*c_1001_11^9 - 1247475489702/1663434542443*c_1001_11^8 + 6203717395707/1663434542443*c_1001_11^7 - 8847980813398/1663434542443*c_1001_11^6 + 2693994455063/1663434542443*c_1001_11^5 + 4882351610522/1663434542443*c_1001_11^4 - 4978896096032/1663434542443*c_1001_11^3 + 1260239358020/1663434542443*c_1001_11^2 + 414255985046/1663434542443*c_1001_11 - 1770798542711/1663434542443, c_0101_1 + 59310304116/1663434542443*c_1001_11^10 + 410387519773/1663434542443*c_1001_11^9 + 1247475489702/1663434542443*c_1001_11^8 - 6203717395707/1663434542443*c_1001_11^7 + 8847980813398/1663434542443*c_1001_11^6 - 2693994455063/1663434542443*c_1001_11^5 - 4882351610522/1663434542443*c_1001_11^4 + 4978896096032/1663434542443*c_1001_11^3 - 1260239358020/1663434542443*c_1001_11^2 - 414255985046/1663434542443*c_1001_11 + 107364000268/1663434542443, c_0101_10 + 46828283998/1663434542443*c_1001_11^10 + 341216469263/1663434542443*c_1001_11^9 + 1124618794132/1663434542443*c_1001_11^8 - 4372941753936/1663434542443*c_1001_11^7 + 5790943125702/1663434542443*c_1001_11^6 - 1106251492109/1663434542443*c_1001_11^5 - 3126236578536/1663434542443*c_1001_11^4 + 1319357271566/1663434542443*c_1001_11^3 + 966287861485/1663434542443*c_1001_11^2 + 422349528188/1663434542443*c_1001_11 - 226929200144/1663434542443, c_0101_3 - 1973167860/1663434542443*c_1001_11^10 - 49409679823/1663434542443*c_1001_11^9 - 309857921121/1663434542443*c_1001_11^8 - 689858574874/1663434542443*c_1001_11^7 + 3019606305630/1663434542443*c_1001_11^6 - 2943268385365/1663434542443*c_1001_11^5 - 967483961288/1663434542443*c_1001_11^4 + 3882320633890/1663434542443*c_1001_11^3 - 1461646079332/1663434542443*c_1001_11^2 + 415081029922/1663434542443*c_1001_11 + 30235063219/1663434542443, c_0101_5 - 19892010479/1663434542443*c_1001_11^10 - 116646380456/1663434542443*c_1001_11^9 - 322515731646/1663434542443*c_1001_11^8 + 2133913404936/1663434542443*c_1001_11^7 - 6566929245295/1663434542443*c_1001_11^6 + 7900970516600/1663434542443*c_1001_11^5 - 2890044919974/1663434542443*c_1001_11^4 - 4277132748369/1663434542443*c_1001_11^3 + 4608506833858/1663434542443*c_1001_11^2 - 800407886377/1663434542443*c_1001_11 + 611224191376/1663434542443, c_0101_7 - 78394956757/1663434542443*c_1001_11^10 - 564398051117/1663434542443*c_1001_11^9 - 1793573770951/1663434542443*c_1001_11^8 + 7788773095139/1663434542443*c_1001_11^7 - 9207082693601/1663434542443*c_1001_11^6 - 155170370333/1663434542443*c_1001_11^5 + 9759853485796/1663434542443*c_1001_11^4 - 6364978906590/1663434542443*c_1001_11^3 + 1524075337849/1663434542443*c_1001_11^2 + 929066476932/1663434542443*c_1001_11 - 1621486720357/1663434542443, c_1001_0 + 23011200236/1663434542443*c_1001_11^10 + 149391383554/1663434542443*c_1001_11^9 + 434774885548/1663434542443*c_1001_11^8 - 2441969860870/1663434542443*c_1001_11^7 + 5152622551251/1663434542443*c_1001_11^6 - 3557822899775/1663434542443*c_1001_11^5 - 2910936473193/1663434542443*c_1001_11^4 + 6927478599202/1663434542443*c_1001_11^3 - 2589944278183/1663434542443*c_1001_11^2 - 1582637811471/1663434542443*c_1001_11 + 2355376629025/1663434542443, c_1001_11^11 + 7*c_1001_11^10 + 21*c_1001_11^9 - 107*c_1001_11^8 + 128*c_1001_11^7 + 26*c_1001_11^6 - 183*c_1001_11^5 + 112*c_1001_11^4 + 36*c_1001_11^3 - 70*c_1001_11^2 + 31*c_1001_11 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.990 Total time: 1.199 seconds, Total memory usage: 32.09MB