Magma V2.19-8 Wed Aug 21 2013 01:09:06 on localhost [Seed = 1074157882] Type ? for help. Type -D to quit. Loading file "L14n44194__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n44194 geometric_solution 12.26377704 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 2 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 1 0 -1 0 0 -1 1 3 0 0 -3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327485117148 1.179169456580 0 5 3 6 0132 0132 1302 0132 2 2 2 2 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 0 1 -1 0 0 0 0 0 -2 0 2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199249188285 0.557364962846 4 0 8 7 1302 0132 0132 0132 2 2 2 2 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 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278791052858 1.574025871851 1 8 7 0 2031 0132 3201 0132 2 2 2 2 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164816584954 0.904513109378 9 2 0 5 0132 2031 0132 3120 2 2 2 2 0 -1 0 1 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 -3 1 2 1 0 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.015433336894 0.957473262039 4 1 7 6 3120 0132 0213 1230 2 2 2 2 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040367279047 1.204621067414 5 8 1 10 3012 0213 0132 0132 2 2 2 2 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 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.130868153837 1.247419433543 3 5 2 11 2310 0213 0132 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606969595180 1.346806364544 12 3 6 2 0132 0132 0213 0132 2 2 2 2 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 1 -1 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 0.360109270937 1.017696733863 4 12 12 12 0132 0213 0132 0321 0 2 2 2 0 0 1 -1 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 -1 0 -1 0 0 1 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307752571806 1.236493962104 11 11 6 11 1023 0321 0132 3120 2 2 1 2 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 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796415322545 1.054419830313 10 10 7 10 3120 1023 0132 0321 2 2 1 2 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 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543883449553 0.603878808092 8 9 9 9 0132 0321 0213 0132 0 2 2 2 0 1 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 0 0 -1 1 0 0 0 0 -2 3 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810453879136 0.761561902192 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_12'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(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' : 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' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_12'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_0101_7']), '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1001_12'], '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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : negation(d['c_0011_4']), 'c_0110_0' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_12']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], '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_0011_12']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10']})} 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_4, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_7, c_1001_0, c_1001_10, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 10433067511984248331201/357652140827856*c_1001_10^7 + 44055005056765689726143/715304281655712*c_1001_10^6 + 24857738141447125386659/476869521103808*c_1001_10^5 - 9601833893942527538841/56102296600448*c_1001_10^4 + 2149862694174028957051/29804345068988*c_1001_10^3 + 371663445067373442809347/2861217126622848*c_1001_10^2 - 8832714179864578894039/84153444900672*c_1001_10 + 5659847884512535293053/238434760551904, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + 314544316/480415629*c_1001_10^7 - 76066138/160138543*c_1001_10^6 - 1770061081/480415629*c_1001_10^5 + 4882505183/960831258*c_1001_10^4 + 640958545/960831258*c_1001_10^3 - 3457239763/480415629*c_1001_10^2 + 1685169434/480415629*c_1001_10 - 75144596/160138543, c_0011_4 + 503004746/480415629*c_1001_10^7 - 696770687/480415629*c_1001_10^6 - 1107478459/320277086*c_1001_10^5 + 11443094555/1921662516*c_1001_10^4 - 738214495/960831258*c_1001_10^3 - 13767647759/1921662516*c_1001_10^2 + 2339039687/480415629*c_1001_10 - 444391204/480415629, c_0011_6 - 188460430/480415629*c_1001_10^7 + 468572273/480415629*c_1001_10^6 - 217686785/960831258*c_1001_10^5 - 1678084189/1921662516*c_1001_10^4 + 689586520/480415629*c_1001_10^3 - 61311293/1921662516*c_1001_10^2 - 217956751/160138543*c_1001_10 + 218957416/480415629, c_0011_7 + 367959244/160138543*c_1001_10^7 - 2494898314/480415629*c_1001_10^6 - 379108245/160138543*c_1001_10^5 + 10346889113/960831258*c_1001_10^4 - 4823880101/960831258*c_1001_10^3 - 6940582813/960831258*c_1001_10^2 + 3221022419/960831258*c_1001_10 + 211912795/480415629, c_0101_0 - 1940549002/480415629*c_1001_10^7 + 3821433767/480415629*c_1001_10^6 + 7619386273/960831258*c_1001_10^5 - 39663193099/1921662516*c_1001_10^4 + 4762107275/960831258*c_1001_10^3 + 31641182317/1921662516*c_1001_10^2 - 2371025447/320277086*c_1001_10 + 67665712/480415629, c_0101_10 - 337784318/160138543*c_1001_10^7 + 337590289/160138543*c_1001_10^6 + 8319571541/960831258*c_1001_10^5 - 18452988527/1921662516*c_1001_10^4 - 2065813534/480415629*c_1001_10^3 + 28283047291/1921662516*c_1001_10^2 - 3755893625/960831258*c_1001_10 - 62210242/480415629, c_0101_11 - 337784318/160138543*c_1001_10^7 + 337590289/160138543*c_1001_10^6 + 8319571541/960831258*c_1001_10^5 - 18452988527/1921662516*c_1001_10^4 - 2065813534/480415629*c_1001_10^3 + 28283047291/1921662516*c_1001_10^2 - 2795062367/960831258*c_1001_10 - 62210242/480415629, c_0101_7 - 181131142/480415629*c_1001_10^7 + 596756873/480415629*c_1001_10^6 + 509532935/960831258*c_1001_10^5 - 8183513965/1921662516*c_1001_10^4 + 1672322705/960831258*c_1001_10^3 + 7414528045/1921662516*c_1001_10^2 - 634224515/160138543*c_1001_10 + 54374576/160138543, c_1001_0 + 730340012/480415629*c_1001_10^7 - 315654054/160138543*c_1001_10^6 - 831077225/160138543*c_1001_10^5 + 6407215657/960831258*c_1001_10^4 + 881089480/480415629*c_1001_10^3 - 3546632798/480415629*c_1001_10^2 + 493940579/960831258*c_1001_10 + 124008791/480415629, c_1001_10^8 - 79/38*c_1001_10^7 - 141/76*c_1001_10^6 + 883/152*c_1001_10^5 - 347/152*c_1001_10^4 - 689/152*c_1001_10^3 + 525/152*c_1001_10^2 - 53/76*c_1001_10 - 1/38, c_1001_12 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB