Magma V2.19-8 Wed Aug 21 2013 01:07:45 on localhost [Seed = 2050777947] Type ? for help. Type -D to quit. Loading file "L14n33841__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33841 geometric_solution 11.77289197 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 1 1 1 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 1 -4 3 1 0 0 -1 4 -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179027776211 0.987259274124 0 5 7 6 0132 0132 0132 0132 0 1 1 1 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 -1 1 -1 0 0 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013313996277 0.769366131816 8 0 8 6 0132 0132 3120 2031 1 0 1 1 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 -1 1 0 0 0 1 -1 -1 0 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849268952988 0.786448480232 9 4 9 0 0132 2310 2310 0132 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704193590957 1.238084781594 6 10 0 3 0321 0132 0132 3201 1 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 3 -3 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 0.226926082882 0.874725491622 11 1 6 7 0132 0132 0132 0132 0 1 1 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 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743632100525 0.806630390807 4 2 1 5 0321 1302 0132 0132 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 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 -0.088474371501 0.610213656255 9 12 5 1 2310 0132 0132 0132 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 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 0 0 0 0 0 -1.113265539367 1.565673150014 2 11 2 10 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 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 0.849268952988 0.786448480232 3 3 7 11 0132 3201 3201 0132 1 1 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 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.056050580538 0.540729470087 12 4 8 12 2031 0132 0132 1023 1 0 1 1 0 1 -1 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 -3 3 0 3 0 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460063342861 0.479883332104 5 8 9 12 0132 0132 0132 2310 1 1 1 1 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 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462499372468 0.750060687204 11 7 10 10 3201 0132 1302 1023 0 1 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 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040993784353 1.085840838414 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0110_12'], 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_0110_12'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0110_12']), 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : negation(d['c_0110_12']), 'c_1010_10' : d['c_0110_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : 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_9' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0101_8']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0110_12'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(d['c_0101_10']), '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_3_7' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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_0011_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], '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_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0011_10'], 's_2_9' : negation(d['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_6, c_0101_0, c_0101_10, c_0101_11, c_0101_8, c_0110_10, c_0110_12, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4451014431/1483254451*c_1100_1^11 - 33882104353/1483254451*c_1100_1^10 + 125496881311/1483254451*c_1100_1^9 - 301569326482/1483254451*c_1100_1^8 + 522568503931/1483254451*c_1100_1^7 - 692347732457/1483254451*c_1100_1^6 + 733847443176/1483254451*c_1100_1^5 - 624849042551/1483254451*c_1100_1^4 + 409778211828/1483254451*c_1100_1^3 - 201601711333/1483254451*c_1100_1^2 + 68581314469/1483254451*c_1100_1 - 6576706590/1483254451, c_0011_0 - 1, c_0011_10 + 1941/2045*c_1100_1^11 - 12273/2045*c_1100_1^10 + 41107/2045*c_1100_1^9 - 92029/2045*c_1100_1^8 + 148369/2045*c_1100_1^7 - 182558/2045*c_1100_1^6 + 175776/2045*c_1100_1^5 - 132738/2045*c_1100_1^4 + 79201/2045*c_1100_1^3 - 30047/2045*c_1100_1^2 + 4571/2045*c_1100_1 - 4253/2045, c_0011_12 - 1601/4090*c_1100_1^11 + 11103/4090*c_1100_1^10 - 38087/4090*c_1100_1^9 + 86379/4090*c_1100_1^8 - 69777/2045*c_1100_1^7 + 85694/2045*c_1100_1^6 - 83723/2045*c_1100_1^5 + 66024/2045*c_1100_1^4 - 86671/4090*c_1100_1^3 + 21941/2045*c_1100_1^2 - 13301/4090*c_1100_1 + 10213/4090, c_0011_3 + 997/4090*c_1100_1^11 - 7581/4090*c_1100_1^10 + 28199/4090*c_1100_1^9 - 69413/4090*c_1100_1^8 + 61454/2045*c_1100_1^7 - 82148/2045*c_1100_1^6 + 85731/2045*c_1100_1^5 - 69453/2045*c_1100_1^4 + 86757/4090*c_1100_1^3 - 20432/2045*c_1100_1^2 + 8937/4090*c_1100_1 - 6991/4090, c_0011_6 + 669/4090*c_1100_1^11 - 4287/4090*c_1100_1^10 + 13593/4090*c_1100_1^9 - 28211/4090*c_1100_1^8 + 20368/2045*c_1100_1^7 - 21906/2045*c_1100_1^6 + 18727/2045*c_1100_1^5 - 12606/2045*c_1100_1^4 + 16109/4090*c_1100_1^3 - 3239/2045*c_1100_1^2 + 4319/4090*c_1100_1 - 3887/4090, c_0101_0 + 717/4090*c_1100_1^11 - 3971/4090*c_1100_1^10 + 12239/4090*c_1100_1^9 - 25063/4090*c_1100_1^8 + 18849/2045*c_1100_1^7 - 22093/2045*c_1100_1^6 + 20951/2045*c_1100_1^5 - 15638/2045*c_1100_1^4 + 18567/4090*c_1100_1^3 - 2912/2045*c_1100_1^2 + 7/4090*c_1100_1 - 351/4090, c_0101_10 - 36/409*c_1100_1^11 + 172/409*c_1100_1^10 - 416/409*c_1100_1^9 + 502/409*c_1100_1^8 + 29/409*c_1100_1^7 - 1151/409*c_1100_1^6 + 2390/409*c_1100_1^5 - 2814/409*c_1100_1^4 + 2042/409*c_1100_1^3 - 1104/409*c_1100_1^2 - 38/409*c_1100_1 + 211/409, c_0101_11 + 1211/2045*c_1100_1^11 - 8558/2045*c_1100_1^10 + 30172/2045*c_1100_1^9 - 70034/2045*c_1100_1^8 + 115669/2045*c_1100_1^7 - 143298/2045*c_1100_1^6 + 137441/2045*c_1100_1^5 - 101183/2045*c_1100_1^4 + 56986/2045*c_1100_1^3 - 21077/2045*c_1100_1^2 + 1301/2045*c_1100_1 - 4178/2045, c_0101_8 + 243/409*c_1100_1^11 - 1570/409*c_1100_1^10 + 5262/409*c_1100_1^9 - 11773/409*c_1100_1^8 + 18925/409*c_1100_1^7 - 23008/409*c_1100_1^6 + 21700/409*c_1100_1^5 - 15566/409*c_1100_1^4 + 8507/409*c_1100_1^3 - 2773/409*c_1100_1^2 + 52/409*c_1100_1 - 504/409, c_0110_10 - 1, c_0110_12 - 1121/4090*c_1100_1^11 + 6083/4090*c_1100_1^10 - 18907/4090*c_1100_1^9 + 40149/4090*c_1100_1^8 - 31797/2045*c_1100_1^7 + 40879/2045*c_1100_1^6 - 43078/2045*c_1100_1^5 + 37749/2045*c_1100_1^4 - 53911/4090*c_1100_1^3 + 12941/2045*c_1100_1^2 - 11431/4090*c_1100_1 + 4673/4090, c_1001_10 + 3251/4090*c_1100_1^11 - 21713/4090*c_1100_1^10 + 74877/4090*c_1100_1^9 - 171419/4090*c_1100_1^8 + 140517/2045*c_1100_1^7 - 174689/2045*c_1100_1^6 + 170398/2045*c_1100_1^5 - 131394/2045*c_1100_1^4 + 165541/4090*c_1100_1^3 - 37541/2045*c_1100_1^2 + 22541/4090*c_1100_1 - 15453/4090, c_1100_1^12 - 8*c_1100_1^11 + 32*c_1100_1^10 - 84*c_1100_1^9 + 159*c_1100_1^8 - 228*c_1100_1^7 + 256*c_1100_1^6 - 228*c_1100_1^5 + 161*c_1100_1^4 - 87*c_1100_1^3 + 31*c_1100_1^2 - 8*c_1100_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.560 seconds, Total memory usage: 32.09MB