Magma V2.19-8 Wed Aug 21 2013 00:57:47 on localhost [Seed = 1982885068] Type ? for help. Type -D to quit. Loading file "L13n4456__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4456 geometric_solution 12.62249178 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 1 -1 0 0 1 -1 -6 6 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357315987533 0.502061376474 0 3 6 5 0132 1023 0132 0132 1 1 0 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 -1 0 1 0 0 0 0 -1 0 0 1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095731792632 1.033941673251 7 0 9 8 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792841103144 0.991906256334 1 4 10 0 1023 1023 0132 0132 1 1 0 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 0 -1 1 0 0 -1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754450499506 1.108964754806 3 7 0 8 1023 0132 0132 2031 1 1 0 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 6 1 -7 -1 0 1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428645818103 0.759295143868 11 12 1 10 0132 0132 0132 3120 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 -1 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 7 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095731792632 1.033941673251 10 11 9 1 1023 1230 1302 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 -6 0 6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349121923010 0.965796477408 2 4 11 12 0132 0132 3012 3012 1 1 1 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 -6 6 0 0 0 0 0 0 7 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632746600040 0.840881953667 12 4 2 9 0132 1302 0132 3201 1 1 1 0 0 0 0 0 -1 0 0 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 0 0 0 7 0 0 -7 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792841103144 0.991906256334 6 8 10 2 2031 2310 0321 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 -1 7 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274073499307 0.875258933976 5 6 9 3 3120 1023 0321 0132 1 1 1 1 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 0 0 7 0 0 -7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668968596564 0.915751610763 5 7 6 12 0132 1230 3012 1023 1 1 0 1 0 0 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754450499506 1.108964754806 8 5 7 11 0132 0132 1230 1023 1 1 0 1 0 0 0 0 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 0 0 0 -7 0 7 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357315987533 0.502061376474 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_12']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0110_4'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0101_1'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : 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' : 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_0011_9']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : negation(d['c_0011_9']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : d['c_1001_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_12']), 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : negation(d['c_1001_9']), 'c_1100_8' : negation(d['c_0011_9']), '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'], 'c_1100_12' : d['c_0101_2'], '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' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), '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_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_12'], '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_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_11, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_7, c_0110_4, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 698204103/76449836*c_1001_9^9 - 6117191/139507*c_1001_9^8 + 9436550867/152899672*c_1001_9^7 - 3325789787/305799344*c_1001_9^6 - 27600163229/305799344*c_1001_9^5 + 42583061803/305799344*c_1001_9^4 - 33242499337/305799344*c_1001_9^3 + 3104118997/76449836*c_1001_9^2 - 186528505/76449836*c_1001_9 - 54097172/19112459, c_0011_0 - 1, c_0011_10 + 146803/139507*c_1001_9^9 - 609861/139507*c_1001_9^8 + 1482287/279014*c_1001_9^7 - 1027313/558028*c_1001_9^6 - 1153161/139507*c_1001_9^5 + 3349007/279014*c_1001_9^4 - 3326211/279014*c_1001_9^3 + 4145423/558028*c_1001_9^2 - 824560/139507*c_1001_9 + 389597/139507, c_0011_11 - 257093/279014*c_1001_9^9 + 1426627/279014*c_1001_9^8 - 5240737/558028*c_1001_9^7 + 6370119/1116056*c_1001_9^6 + 2017433/279014*c_1001_9^5 - 11113927/558028*c_1001_9^4 + 11146853/558028*c_1001_9^3 - 17590785/1116056*c_1001_9^2 + 1437168/139507*c_1001_9 - 2152203/279014, c_0011_9 - 135798/139507*c_1001_9^9 + 579844/139507*c_1001_9^8 - 683005/139507*c_1001_9^7 + 213375/279014*c_1001_9^6 + 2210257/279014*c_1001_9^5 - 1562290/139507*c_1001_9^4 + 2660361/279014*c_1001_9^3 - 1829775/279014*c_1001_9^2 + 697188/139507*c_1001_9 - 179833/139507, c_0101_0 - 429923/279014*c_1001_9^9 + 1584413/279014*c_1001_9^8 - 2549871/558028*c_1001_9^7 - 1504959/1116056*c_1001_9^6 + 3521531/279014*c_1001_9^5 - 6014147/558028*c_1001_9^4 + 4679669/558028*c_1001_9^3 - 3998707/1116056*c_1001_9^2 + 1471551/279014*c_1001_9 + 313049/279014, c_0101_1 - 1, c_0101_10 + 238841/139507*c_1001_9^9 - 1117757/139507*c_1001_9^8 + 3149073/279014*c_1001_9^7 - 2146943/558028*c_1001_9^6 - 3824897/279014*c_1001_9^5 + 6929601/279014*c_1001_9^4 - 6372499/279014*c_1001_9^3 + 9490381/558028*c_1001_9^2 - 3473463/279014*c_1001_9 + 692737/139507, c_0101_11 - 63679/139507*c_1001_9^9 + 227895/139507*c_1001_9^8 - 335571/279014*c_1001_9^7 - 36567/558028*c_1001_9^6 + 809655/279014*c_1001_9^5 - 526478/139507*c_1001_9^4 + 798849/279014*c_1001_9^3 - 1329713/558028*c_1001_9^2 + 144727/279014*c_1001_9 - 121637/139507, c_0101_12 + 12592/139507*c_1001_9^9 - 76914/139507*c_1001_9^8 + 199932/139507*c_1001_9^7 - 243707/139507*c_1001_9^6 - 120123/279014*c_1001_9^5 + 824111/279014*c_1001_9^4 - 623060/139507*c_1001_9^3 + 919423/279014*c_1001_9^2 - 640989/279014*c_1001_9 + 222976/139507, c_0101_2 - 210708/139507*c_1001_9^9 + 901046/139507*c_1001_9^8 - 1061508/139507*c_1001_9^7 + 177676/139507*c_1001_9^6 + 3297325/279014*c_1001_9^5 - 2387979/139507*c_1001_9^4 + 2017963/139507*c_1001_9^3 - 1551053/139507*c_1001_9^2 + 2455579/279014*c_1001_9 - 342226/139507, c_0101_7 + 1432481/279014*c_1001_9^9 - 6269303/279014*c_1001_9^8 + 16178445/558028*c_1001_9^7 - 10233595/1116056*c_1001_9^6 - 11387513/279014*c_1001_9^5 + 35829627/558028*c_1001_9^4 - 33993605/558028*c_1001_9^3 + 46609669/1116056*c_1001_9^2 - 4796612/139507*c_1001_9 + 3323379/279014, c_0110_4 - 62247/279014*c_1001_9^9 - 101523/279014*c_1001_9^8 + 2131333/558028*c_1001_9^7 - 4489339/1116056*c_1001_9^6 + 135826/139507*c_1001_9^5 + 4357541/558028*c_1001_9^4 - 4303073/558028*c_1001_9^3 + 7475129/1116056*c_1001_9^2 - 712361/279014*c_1001_9 + 1311199/279014, c_1001_9^10 - 5*c_1001_9^9 + 17/2*c_1001_9^8 - 23/4*c_1001_9^7 - 13/2*c_1001_9^6 + 35/2*c_1001_9^5 - 41/2*c_1001_9^4 + 65/4*c_1001_9^3 - 25/2*c_1001_9^2 + 7*c_1001_9 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.360 seconds, Total memory usage: 32.09MB