Magma V2.19-8 Tue Aug 20 2013 23:39:59 on localhost [Seed = 1562065389] Type ? for help. Type -D to quit. Loading file "K12n103__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n103 geometric_solution 11.38217498 oriented_manifold CS_known -0.0000000000000003 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 1 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 1 0 0 -1 14 -14 0 0 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810792033759 0.643114068275 0 5 6 2 0132 0132 0132 2310 0 0 0 0 0 -1 1 0 0 0 1 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 -13 0 -1 0 -13 14 -14 14 0 0 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633922269758 0.487530609243 1 0 8 7 3201 0132 0132 0132 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 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754398519970 0.716173959167 8 5 4 0 0213 3012 2103 0132 0 0 0 0 0 1 -1 0 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 -14 13 1 0 0 0 0 0 -14 0 14 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607310565969 0.637187558839 3 6 0 7 2103 3201 0132 0213 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 1 -1 0 0 0 1 -1 -13 13 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900439671574 1.093229994530 3 1 9 10 1230 0132 0132 0132 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 -13 13 0 14 0 -14 0 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665373973847 0.557068806961 8 11 4 1 1230 0132 2310 0132 0 0 0 0 0 0 1 -1 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 0 -13 13 0 0 -13 13 0 14 0 -14 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.106905714354 0.840556269143 9 9 2 4 1230 2031 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.839295770674 0.931770355961 3 6 11 2 0213 3012 2031 0132 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 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811313845979 0.975084330023 7 7 11 5 1302 3012 1302 0132 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 0 13 -13 0 0 -14 14 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.839295770674 0.931770355961 10 11 5 10 3012 0213 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460365526300 0.770566323136 9 6 10 8 2031 0132 0213 1302 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 -13 0 0 13 1 -1 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.966742461289 0.918317826641 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : d['c_0011_3'], '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_0011_10'], 'c_0101_10' : d['c_0011_3'], '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_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' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_6']), 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : negation(d['c_1001_6']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_6']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_6']), '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'], '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_11']), '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_11']), 'c_0110_10' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0011_8']})} 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_3, c_0011_8, c_0011_9, c_0101_0, c_0101_5, c_0101_6, c_0101_7, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 33402414628222/3118428729*c_1001_6^5 + 11803180265861/1039476243*c_1001_6^4 + 436361319581899/3118428729*c_1001_6^3 + 93026954132377/3118428729*c_1001_6^2 + 480640626725785/1039476243*c_1001_6 + 554273310902801/3118428729, c_0011_0 - 1, c_0011_10 + 412/5711*c_1001_6^5 + 754/5711*c_1001_6^4 + 5871/5711*c_1001_6^3 + 2842/5711*c_1001_6^2 + 16582/5711*c_1001_6 - 539/5711, c_0011_11 - 64/5711*c_1001_6^5 + 271/5711*c_1001_6^4 - 912/5711*c_1001_6^3 + 3218/5711*c_1001_6^2 - 6568/5711*c_1001_6 + 1359/5711, c_0011_3 - 68/5711*c_1001_6^5 - 69/5711*c_1001_6^4 - 969/5711*c_1001_6^3 - 1578/5711*c_1001_6^2 - 4123/5711*c_1001_6 + 1087/5711, c_0011_8 - 272/5711*c_1001_6^5 - 276/5711*c_1001_6^4 - 3876/5711*c_1001_6^3 - 601/5711*c_1001_6^2 - 10781/5711*c_1001_6 - 1363/5711, c_0011_9 + 68/5711*c_1001_6^5 + 69/5711*c_1001_6^4 + 969/5711*c_1001_6^3 + 1578/5711*c_1001_6^2 + 4123/5711*c_1001_6 - 1087/5711, c_0101_0 - 68/5711*c_1001_6^5 - 69/5711*c_1001_6^4 - 969/5711*c_1001_6^3 - 1578/5711*c_1001_6^2 - 4123/5711*c_1001_6 - 4624/5711, c_0101_5 - 1087/5711*c_1001_6^5 - 1019/5711*c_1001_6^4 - 14062/5711*c_1001_6^3 - 1205/5711*c_1001_6^2 - 50874/5711*c_1001_6 - 11095/5711, c_0101_6 - 68/5711*c_1001_6^5 - 69/5711*c_1001_6^4 - 969/5711*c_1001_6^3 - 1578/5711*c_1001_6^2 - 4123/5711*c_1001_6 - 4624/5711, c_0101_7 + 752/5711*c_1001_6^5 + 1099/5711*c_1001_6^4 + 10716/5711*c_1001_6^3 + 5021/5711*c_1001_6^2 + 42908/5711*c_1001_6 + 11159/5711, c_1001_1 - 479/5711*c_1001_6^5 - 738/5711*c_1001_6^4 - 5398/5711*c_1001_6^3 - 3221/5711*c_1001_6^2 - 11322/5711*c_1001_6 + 1694/5711, c_1001_6^6 + c_1001_6^5 + 13*c_1001_6^4 + 2*c_1001_6^3 + 43*c_1001_6^2 + 14*c_1001_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.380 Total time: 1.580 seconds, Total memory usage: 32.09MB