Magma V2.19-8 Wed Aug 21 2013 01:14:03 on localhost [Seed = 2799745043] Type ? for help. Type -D to quit. Loading file "L9a21__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a21 geometric_solution 11.94287245 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 0 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 -1 1 0 -1 0 1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885021395740 0.608509377661 0 5 6 2 0132 0132 0132 3120 1 0 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 1 0 0 -1 -2 1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528072318357 0.738866364532 1 0 8 7 3120 0132 0132 0132 1 0 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 1 0 -1 1 0 -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 0.748563475829 0.497527379277 9 4 10 0 0132 0321 0132 0132 1 0 1 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 1 -1 0 0 1 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197892344357 1.362639925004 11 8 0 3 0132 0132 0132 0321 1 0 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533644877303 0.248911777331 12 1 12 8 0132 0132 3012 3120 1 0 1 1 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 -1 1 0 0 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 0.668044589282 0.703881452153 10 11 12 1 1302 3120 3120 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813472173552 0.838397827400 9 8 2 12 2103 0213 0132 2103 1 0 0 1 0 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 1 -1 0 0 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506124509289 0.555079918404 5 4 7 2 3120 0132 0213 0132 1 0 1 1 0 0 0 0 -1 0 1 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 1 0 -2 1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701294410716 0.848011128886 3 11 7 10 0132 0213 2103 2310 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.105341324486 1.005530895833 9 6 11 3 3201 2031 2031 0132 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 1 0 -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 0.528213758993 0.409604172487 4 6 9 10 0132 3120 0213 1302 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 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 0.289955315186 1.028469159770 5 5 6 7 0132 1230 3120 2103 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 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548103652299 1.162204266760 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), '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' : negation(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' : negation(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_0101_5']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_0011_10'], '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' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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_1'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), '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_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_10']), '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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1092842927033/885117614*c_1001_2^11 - 276763572370/442558807*c_1001_2^10 + 2656060521610/442558807*c_1001_2^9 + 1919986802697/442558807*c_1001_2^8 - 18344447853013/885117614*c_1001_2^7 + 5591820390421/885117614*c_1001_2^6 + 28716742089435/442558807*c_1001_2^5 - 11037307058581/885117614*c_1001_2^4 - 45960931328459/442558807*c_1001_2^3 - 27986143264843/442558807*c_1001_2^2 - 10223032948919/885117614*c_1001_2 - 39575159395/885117614, c_0011_0 - 1, c_0011_10 + 80631012/130164355*c_1001_2^11 - 53067242/130164355*c_1001_2^10 - 364908556/130164355*c_1001_2^9 + 152230703/130164355*c_1001_2^8 + 1346904739/130164355*c_1001_2^7 - 1993353751/130164355*c_1001_2^6 - 2533140078/130164355*c_1001_2^5 + 884340996/26032871*c_1001_2^4 + 3050969283/130164355*c_1001_2^3 - 1087953482/130164355*c_1001_2^2 + 5150709/130164355*c_1001_2 + 112036564/130164355, c_0011_11 + 10151289/26032871*c_1001_2^11 - 8163423/26032871*c_1001_2^10 - 44454525/26032871*c_1001_2^9 + 24545276/26032871*c_1001_2^8 + 165482449/26032871*c_1001_2^7 - 270744720/26032871*c_1001_2^6 - 275916920/26032871*c_1001_2^5 + 575023760/26032871*c_1001_2^4 + 316829195/26032871*c_1001_2^3 - 144343045/26032871*c_1001_2^2 - 9135567/26032871*c_1001_2 - 8815936/26032871, c_0011_3 - 26615514/130164355*c_1001_2^11 + 3853981/130164355*c_1001_2^10 + 142137001/130164355*c_1001_2^9 - 939614/26032871*c_1001_2^8 - 511466437/130164355*c_1001_2^7 + 478993234/130164355*c_1001_2^6 + 1341564311/130164355*c_1001_2^5 - 1438426628/130164355*c_1001_2^4 - 364639257/26032871*c_1001_2^3 + 89456153/26032871*c_1001_2^2 + 202865943/130164355*c_1001_2 - 5430401/130164355, c_0011_6 - 70030581/130164355*c_1001_2^11 + 31575344/130164355*c_1001_2^10 + 325364139/130164355*c_1001_2^9 - 13138684/26032871*c_1001_2^8 - 1189192208/130164355*c_1001_2^7 + 1490263601/130164355*c_1001_2^6 + 2537784694/130164355*c_1001_2^5 - 3358667932/130164355*c_1001_2^4 - 682890391/26032871*c_1001_2^3 + 67437768/26032871*c_1001_2^2 + 85908897/130164355*c_1001_2 - 138897629/130164355, c_0011_7 + 50104021/130164355*c_1001_2^11 - 10860714/130164355*c_1001_2^10 - 261967499/130164355*c_1001_2^9 + 5704508/26032871*c_1001_2^8 + 942961658/130164355*c_1001_2^7 - 970280156/130164355*c_1001_2^6 - 2381667144/130164355*c_1001_2^5 + 2819479882/130164355*c_1001_2^4 + 618870353/26032871*c_1001_2^3 - 192652372/26032871*c_1001_2^2 - 93725347/130164355*c_1001_2 + 248000299/130164355, c_0101_0 - 1, c_0101_1 + 73945658/130164355*c_1001_2^11 - 43944122/130164355*c_1001_2^10 - 341371442/130164355*c_1001_2^9 + 24368734/26032871*c_1001_2^8 + 1263944479/130164355*c_1001_2^7 - 1758343798/130164355*c_1001_2^6 - 2504960512/130164355*c_1001_2^5 + 4011391946/130164355*c_1001_2^4 + 643917030/26032871*c_1001_2^3 - 208372780/26032871*c_1001_2^2 - 276702656/130164355*c_1001_2 + 160951717/130164355, c_0101_10 + 37558062/130164355*c_1001_2^11 - 23113454/130164355*c_1001_2^10 - 34596779/26032871*c_1001_2^9 + 61397512/130164355*c_1001_2^8 + 635107313/130164355*c_1001_2^7 - 896087843/130164355*c_1001_2^6 - 1235895613/130164355*c_1001_2^5 + 2012914958/130164355*c_1001_2^4 + 1585652652/130164355*c_1001_2^3 - 390659788/130164355*c_1001_2^2 - 28694007/130164355*c_1001_2 + 30234957/130164355, c_0101_12 - 23189213/130164355*c_1001_2^11 + 3127007/130164355*c_1001_2^10 + 119098817/130164355*c_1001_2^9 + 176542/26032871*c_1001_2^8 - 436532234/130164355*c_1001_2^7 + 404620198/130164355*c_1001_2^6 + 1125375912/130164355*c_1001_2^5 - 1136273146/130164355*c_1001_2^4 - 327087835/26032871*c_1001_2^3 + 64029735/26032871*c_1001_2^2 + 231024821/130164355*c_1001_2 - 205031397/130164355, c_0101_5 + 16054094/130164355*c_1001_2^11 - 19181101/130164355*c_1001_2^10 - 64242121/130164355*c_1001_2^9 + 14098906/26032871*c_1001_2^8 + 237605562/130164355*c_1001_2^7 - 542334094/130164355*c_1001_2^6 - 240556106/130164355*c_1001_2^5 + 1119964968/130164355*c_1001_2^4 - 1077896/26032871*c_1001_2^3 - 77222077/26032871*c_1001_2^2 + 205031397/130164355*c_1001_2 - 7135119/130164355, c_1001_0 + 8163423/26032871*c_1001_2^11 - 6301920/26032871*c_1001_2^10 - 34696565/26032871*c_1001_2^9 + 17240753/26032871*c_1001_2^8 + 128626674/26032871*c_1001_2^7 - 211344952/26032871*c_1001_2^6 - 209577356/26032871*c_1001_2^5 + 424214902/26032871*c_1001_2^4 + 245855935/26032871*c_1001_2^3 - 61923456/26032871*c_1001_2^2 + 45000096/26032871*c_1001_2 + 10151289/26032871, c_1001_2^12 - 5*c_1001_2^10 - c_1001_2^9 + 18*c_1001_2^8 - 14*c_1001_2^7 - 48*c_1001_2^6 + 36*c_1001_2^5 + 73*c_1001_2^4 + 10*c_1001_2^3 - 7*c_1001_2^2 + c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB