Magma V2.19-8 Tue Aug 20 2013 18:03:23 on localhost [Seed = 2884247084] Type ? for help. Type -D to quit. Loading file "9^2_34__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_34 geometric_solution 11.94287245 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2103 1 0 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 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493875490711 0.555079918404 0 4 5 0 0132 0132 0132 2103 0 0 1 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 -1 1 0 -1 0 1 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 0.493875490711 0.555079918404 6 0 8 7 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 1 0 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.105341324486 1.005530895833 4 7 9 0 0132 0132 0132 0132 1 0 1 0 0 0 0 0 -1 0 1 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 0 0 0 -1 0 0 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.223884781047 0.780337647319 3 1 9 10 0132 0132 3120 0132 0 0 0 1 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 0 0 0 0 1 -1 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 0 0 0 0.758918185996 0.654438071742 6 8 6 1 1023 2031 2031 0132 0 0 0 1 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 1 -1 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679178016576 0.545020160770 2 5 11 5 0132 1023 0132 1302 0 1 0 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 0 0 1 -1 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679178016576 0.545020160770 8 3 2 11 2031 0132 0132 1230 1 1 0 1 0 0 0 0 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 0 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 0.640738841960 0.644224759766 5 10 7 2 1302 2103 1302 0132 1 1 0 0 0 0 0 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 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 0.251267820804 0.350535723225 12 10 4 3 0132 2310 3120 0132 1 0 0 0 0 0 0 0 1 0 0 -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 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692978161705 0.507766195017 12 8 4 9 2103 2103 0132 3201 0 0 1 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 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 0.494487517954 0.480126116356 7 12 12 6 3012 2103 2031 0132 0 1 1 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 0 -1 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 0.319879078438 0.911063715717 9 11 10 11 0132 2103 2103 1302 1 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 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 0.526164397084 0.704829502355 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0101_5']), 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(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' : negation(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' : 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' : negation(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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_0']), 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_6'], 's_3_1' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_11'], '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_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_6'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], '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_0011_12']), 'c_0101_8' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_2']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0101_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 152716015/315247*c_1001_2^11 + 1383470455/630494*c_1001_2^10 + 3753808273/630494*c_1001_2^9 + 6835383683/630494*c_1001_2^8 + 9796364101/630494*c_1001_2^7 + 10804167275/630494*c_1001_2^6 + 4760228177/315247*c_1001_2^5 + 3443992865/315247*c_1001_2^4 + 1775430976/315247*c_1001_2^3 + 1876285141/630494*c_1001_2^2 + 222841215/315247*c_1001_2 + 286432357/630494, c_0011_0 - 1, c_0011_10 - 167850/315247*c_1001_2^11 - 863090/315247*c_1001_2^10 - 2565120/315247*c_1001_2^9 - 5194509/315247*c_1001_2^8 - 8204771/315247*c_1001_2^7 - 10101947/315247*c_1001_2^6 - 10063078/315247*c_1001_2^5 - 8025838/315247*c_1001_2^4 - 4944158/315247*c_1001_2^3 - 2016396/315247*c_1001_2^2 - 636054/315247*c_1001_2 + 64213/315247, c_0011_12 + 163160/315247*c_1001_2^11 + 841885/315247*c_1001_2^10 + 2525281/315247*c_1001_2^9 + 5025476/315247*c_1001_2^8 + 7897517/315247*c_1001_2^7 + 9522165/315247*c_1001_2^6 + 9301582/315247*c_1001_2^5 + 6895302/315247*c_1001_2^4 + 4501957/315247*c_1001_2^3 + 2099169/315247*c_1001_2^2 + 1084588/315247*c_1001_2 + 547209/315247, c_0011_8 + 228895/630494*c_1001_2^11 + 2898495/630494*c_1001_2^10 + 11594997/630494*c_1001_2^9 + 27506257/630494*c_1001_2^8 + 44632753/630494*c_1001_2^7 + 27442586/315247*c_1001_2^6 + 25918416/315247*c_1001_2^5 + 18192280/315247*c_1001_2^4 + 20398897/630494*c_1001_2^3 + 4078216/315247*c_1001_2^2 + 2761791/630494*c_1001_2 + 882148/315247, c_0101_0 + 1347625/630494*c_1001_2^11 + 5049505/630494*c_1001_2^10 + 10662585/630494*c_1001_2^9 + 13431343/630494*c_1001_2^8 + 12413361/630494*c_1001_2^7 + 2878736/315247*c_1001_2^6 - 1043195/315247*c_1001_2^5 - 2575049/315247*c_1001_2^4 - 6339501/630494*c_1001_2^3 - 1874170/315247*c_1001_2^2 - 1718283/630494*c_1001_2 - 747807/315247, c_0101_1 - 1, c_0101_10 - 579905/630494*c_1001_2^11 - 2573205/630494*c_1001_2^10 - 6782843/630494*c_1001_2^9 - 11766683/630494*c_1001_2^8 - 16044773/630494*c_1001_2^7 - 7991880/315247*c_1001_2^6 - 6135270/315247*c_1001_2^5 - 3340347/315247*c_1001_2^4 - 2330755/630494*c_1001_2^3 + 210660/315247*c_1001_2^2 + 602927/630494*c_1001_2 + 189436/315247, c_0101_11 - 253585/630494*c_1001_2^11 - 889435/630494*c_1001_2^10 - 1732281/630494*c_1001_2^9 - 1715731/630494*c_1001_2^8 - 249739/630494*c_1001_2^7 + 1530285/315247*c_1001_2^6 + 3166312/315247*c_1001_2^5 + 3554955/315247*c_1001_2^4 + 6673159/630494*c_1001_2^3 + 2309829/315247*c_1001_2^2 + 2141609/630494*c_1001_2 + 736645/315247, c_0101_2 + 627585/630494*c_1001_2^11 + 2802225/630494*c_1001_2^10 + 7436561/630494*c_1001_2^9 + 13069725/630494*c_1001_2^8 + 17852307/630494*c_1001_2^7 + 8991058/315247*c_1001_2^6 + 6842848/315247*c_1001_2^5 + 3618275/315247*c_1001_2^4 + 1395187/630494*c_1001_2^3 - 300029/315247*c_1001_2^2 - 772259/630494*c_1001_2 - 8469/315247, c_0101_5 + 788260/315247*c_1001_2^11 + 3974000/315247*c_1001_2^10 + 11128791/315247*c_1001_2^9 + 20468800/315247*c_1001_2^8 + 28523057/315247*c_1001_2^7 + 30321322/315247*c_1001_2^6 + 24875221/315247*c_1001_2^5 + 15617231/315247*c_1001_2^4 + 7029698/315247*c_1001_2^3 + 2204046/315247*c_1001_2^2 + 521754/315247*c_1001_2 + 134341/315247, c_0101_6 + 294295/630494*c_1001_2^11 + 2138885/630494*c_1001_2^10 + 6813517/630494*c_1001_2^9 + 13608971/630494*c_1001_2^8 + 18882101/630494*c_1001_2^7 + 9751767/315247*c_1001_2^6 + 7167511/315247*c_1001_2^5 + 3308350/315247*c_1001_2^4 + 1474493/630494*c_1001_2^3 - 287242/315247*c_1001_2^2 - 122567/630494*c_1001_2 + 251540/315247, c_1001_0 - 340995/630494*c_1001_2^11 - 3963235/630494*c_1001_2^10 - 14987197/630494*c_1001_2^9 - 34798421/630494*c_1001_2^8 - 55679017/630494*c_1001_2^7 - 34550334/315247*c_1001_2^6 - 32996469/315247*c_1001_2^5 - 24476787/315247*c_1001_2^4 - 30032691/630494*c_1001_2^3 - 6910949/315247*c_1001_2^2 - 5909147/630494*c_1001_2 - 1286857/315247, c_1001_2^12 + 5*c_1001_2^11 + 73/5*c_1001_2^10 + 29*c_1001_2^9 + 45*c_1001_2^8 + 274/5*c_1001_2^7 + 54*c_1001_2^6 + 218/5*c_1001_2^5 + 139/5*c_1001_2^4 + 74/5*c_1001_2^3 + 31/5*c_1001_2^2 + 2*c_1001_2 + 4/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.330 seconds, Total memory usage: 32.09MB