Magma V2.19-8 Tue Aug 20 2013 23:38:20 on localhost [Seed = 1157833068] Type ? for help. Type -D to quit. Loading file "K13n3393__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3393 geometric_solution 9.29137513 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 10 1 2 2 3 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547131420769 0.804628037128 0 3 4 2 0132 1302 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102863209340 1.164946426884 1 0 5 0 3201 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377252021517 0.380888408202 6 4 0 1 0132 0213 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.507772445854 0.686288628315 7 5 3 1 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.973478159576 0.673603333890 8 4 8 2 0132 0132 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667095078134 0.761205098459 3 9 8 7 0132 0132 2310 0132 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 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.100105556721 0.578997570242 4 9 6 9 0132 0321 0132 1230 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 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 0 0 0 0 0 0 0.834702451866 0.905680984824 5 6 5 9 0132 3201 3120 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667095078134 0.761205098459 7 6 8 7 3012 0132 1230 0321 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 8 -1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733126393342 1.641595079161 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['c_0101_5'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_0101_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'], '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_3'], 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_0']), 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6, c_0101_9, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 202760395351462/13636853027171*c_1001_2^12 + 31815036586113/1239713911561*c_1001_2^11 + 619316688152605/13636853027171*c_1001_2^10 + 2830789790135698/13636853027171*c_1001_2^9 - 19374354524139026/13636853027171*c_1001_2^8 + 31612949269477935/13636853027171*c_1001_2^7 - 17696365935095629/13636853027171*c_1001_2^6 + 1581022831011946/13636853027171*c_1001_2^5 - 2475739016086934/13636853027171*c_1001_2^4 + 2387588254580006/13636853027171*c_1001_2^3 + 619850864761954/13636853027171*c_1001_2^2 + 227625243127771/13636853027171*c_1001_2 + 140052265317207/13636853027171, c_0011_0 - 1, c_0011_3 + 3477121/5181689*c_1001_2^12 - 6710518/5181689*c_1001_2^11 - 8883646/5181689*c_1001_2^10 - 47462761/5181689*c_1001_2^9 + 339450592/5181689*c_1001_2^8 - 616841900/5181689*c_1001_2^7 + 470924586/5181689*c_1001_2^6 - 156398949/5181689*c_1001_2^5 + 41909788/5181689*c_1001_2^4 - 35018489/5181689*c_1001_2^3 + 22080315/5181689*c_1001_2^2 - 507194/5181689*c_1001_2 - 9116481/5181689, c_0011_4 - 4885799/5181689*c_1001_2^12 + 9370852/5181689*c_1001_2^11 + 13567315/5181689*c_1001_2^10 + 65571709/5181689*c_1001_2^9 - 481017213/5181689*c_1001_2^8 + 845608147/5181689*c_1001_2^7 - 560898421/5181689*c_1001_2^6 + 124257738/5181689*c_1001_2^5 - 92829542/5181689*c_1001_2^4 + 104120997/5181689*c_1001_2^3 - 15872664/5181689*c_1001_2^2 - 530623/5181689*c_1001_2 - 2755690/5181689, c_0101_0 - 336783/5181689*c_1001_2^12 - 1622383/5181689*c_1001_2^11 + 3948648/5181689*c_1001_2^10 + 12179760/5181689*c_1001_2^9 + 1771735/5181689*c_1001_2^8 - 142916994/5181689*c_1001_2^7 + 243490191/5181689*c_1001_2^6 - 111058515/5181689*c_1001_2^5 - 5069324/5181689*c_1001_2^4 - 20633899/5181689*c_1001_2^3 + 14863371/5181689*c_1001_2^2 + 5158516/5181689*c_1001_2 + 1908229/5181689, c_0101_1 - 2632732/5181689*c_1001_2^12 + 3611865/5181689*c_1001_2^11 + 8811930/5181689*c_1001_2^10 + 40164997/5181689*c_1001_2^9 - 235532319/5181689*c_1001_2^8 + 336105516/5181689*c_1001_2^7 - 148778211/5181689*c_1001_2^6 + 5034166/5181689*c_1001_2^5 - 32421304/5181689*c_1001_2^4 + 18904767/5181689*c_1001_2^3 + 11350554/5181689*c_1001_2^2 + 2245012/5181689*c_1001_2 - 4844906/5181689, c_0101_5 - 369271/5181689*c_1001_2^12 + 3142181/5181689*c_1001_2^11 - 2375607/5181689*c_1001_2^10 - 3855326/5181689*c_1001_2^9 - 73069488/5181689*c_1001_2^8 + 285306988/5181689*c_1001_2^7 - 344789168/5181689*c_1001_2^6 + 102742651/5181689*c_1001_2^5 + 25529871/5181689*c_1001_2^4 + 48614811/5181689*c_1001_2^3 - 29979981/5181689*c_1001_2^2 - 10272531/5181689*c_1001_2 - 5540284/5181689, c_0101_6 + 786911/5181689*c_1001_2^12 - 2233066/5181689*c_1001_2^11 - 572841/5181689*c_1001_2^10 - 8802372/5181689*c_1001_2^9 + 86722121/5181689*c_1001_2^8 - 211302261/5181689*c_1001_2^7 + 233910317/5181689*c_1001_2^6 - 132506330/5181689*c_1001_2^5 + 65944180/5181689*c_1001_2^4 - 65551761/5181689*c_1001_2^3 + 37692289/5181689*c_1001_2^2 - 5145884/5181689*c_1001_2 + 4760703/5181689, c_0101_9 + 1646648/5181689*c_1001_2^12 - 2898534/5181689*c_1001_2^11 - 2970600/5181689*c_1001_2^10 - 26018295/5181689*c_1001_2^9 + 151811755/5181689*c_1001_2^8 - 290751843/5181689*c_1001_2^7 + 336795866/5181689*c_1001_2^6 - 304511157/5181689*c_1001_2^5 + 176643731/5181689*c_1001_2^4 - 47728754/5181689*c_1001_2^3 + 30855112/5181689*c_1001_2^2 - 22404890/5181689*c_1001_2 - 4452462/5181689, c_0110_2 - 2639774/5181689*c_1001_2^12 + 2190939/5181689*c_1001_2^11 + 10815709/5181689*c_1001_2^10 + 45098520/5181689*c_1001_2^9 - 213851213/5181689*c_1001_2^8 + 208898207/5181689*c_1001_2^7 + 32692669/5181689*c_1001_2^6 - 85602124/5181689*c_1001_2^5 - 6634904/5181689*c_1001_2^4 - 17739298/5181689*c_1001_2^3 + 29530670/5181689*c_1001_2^2 - 2008580/5181689*c_1001_2 + 7534391/5181689, c_1001_2^13 - 3*c_1001_2^12 - c_1001_2^11 - 10*c_1001_2^10 + 114*c_1001_2^9 - 275*c_1001_2^8 + 275*c_1001_2^7 - 112*c_1001_2^6 + 30*c_1001_2^5 - 35*c_1001_2^4 + 12*c_1001_2^3 + 3*c_1001_2^2 + c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.340 seconds, Total memory usage: 32.09MB