Magma V2.19-8 Wed Aug 21 2013 00:52:26 on localhost [Seed = 4173262168] Type ? for help. Type -D to quit. Loading file "L12a1829__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1829 geometric_solution 12.87441766 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 2 2 1 2 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 4 -3 -1 0 0 0 0 -1 3 0 -2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491918497534 0.963604724766 0 4 4 5 0132 0132 1302 0132 2 2 2 1 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 0 0 0 0 0 -3 3 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579742856951 0.823229398140 0 0 4 6 3012 0132 0132 0132 2 2 2 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 -4 0 4 1 0 -1 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428153441729 0.812016728364 7 8 7 0 0132 0132 2031 0132 2 2 2 2 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 -3 0 3 0 0 0 0 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444018934530 0.915158326536 1 1 9 2 2031 0132 0132 0132 2 2 1 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 -1 1 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428153441729 0.812016728364 10 11 1 10 0132 0132 0132 2031 2 2 0 2 0 0 0 0 -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 0 0 0 3 0 -3 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 0.484882836798 0.798128916702 9 11 2 12 1302 1302 0132 0132 2 2 2 2 0 -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 4 -4 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370713255242 0.645408445072 3 9 10 3 0132 2031 0132 1302 2 2 2 2 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 4 -4 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 0.570858366044 0.884495027208 11 3 11 10 2310 0132 1302 1302 2 0 2 2 0 -1 0 1 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 3 0 -3 0 0 -1 1 -4 0 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570858366044 0.884495027208 7 6 12 4 1302 2031 2310 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 0 0 0 -1 0 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370713255242 0.645408445072 5 5 8 7 0132 1302 2031 0132 2 2 2 0 0 0 1 -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 0 -4 4 -3 0 3 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 0.444018934530 0.915158326536 8 5 8 6 2031 0132 3201 2031 2 2 2 0 0 0 0 0 0 0 -1 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 0 4 -4 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570858366044 0.884495027208 12 9 6 12 3012 3201 0132 1230 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 1.330818798691 1.165038456279 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_11'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0110_11'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : negation(d['c_0101_4']), 's_0_10' : d['1'], 's_3_10' : 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_10'], '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' : negation(d['1']), 's_2_5' : negation(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' : negation(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' : negation(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' : d['c_0101_4'], 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0101_3']), 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_4, c_0110_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 398613789/51289408*c_0110_11^10 + 1619689979/115401168*c_0110_11^9 - 195549295/9616764*c_0110_11^8 - 7657208909/230802336*c_0110_11^7 + 1396858429/9616764*c_0110_11^6 + 10460533327/76934112*c_0110_11^5 - 128924628119/461604672*c_0110_11^4 - 5282353897/38467056*c_0110_11^3 + 89005817705/230802336*c_0110_11^2 + 5041800307/38467056*c_0110_11 - 67049860847/461604672, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 2216/8319*c_0110_11^10 - 2332/8319*c_0110_11^9 + 2320/2773*c_0110_11^8 + 3565/8319*c_0110_11^7 - 42664/8319*c_0110_11^6 - 2125/2773*c_0110_11^5 + 72857/8319*c_0110_11^4 - 5193/2773*c_0110_11^3 - 26810/2773*c_0110_11^2 + 15725/8319*c_0110_11 + 17618/8319, c_0011_3 - 1, c_0011_6 + 547/16638*c_0110_11^10 + 921/5546*c_0110_11^9 + 24/2773*c_0110_11^8 - 4027/8319*c_0110_11^7 + 2823/5546*c_0110_11^6 + 7293/2773*c_0110_11^5 - 10214/8319*c_0110_11^4 - 32873/8319*c_0110_11^3 + 28906/8319*c_0110_11^2 + 24785/8319*c_0110_11 - 13667/5546, c_0011_9 - 547/16638*c_0110_11^10 - 921/5546*c_0110_11^9 - 24/2773*c_0110_11^8 + 4027/8319*c_0110_11^7 - 2823/5546*c_0110_11^6 - 7293/2773*c_0110_11^5 + 10214/8319*c_0110_11^4 + 32873/8319*c_0110_11^3 - 28906/8319*c_0110_11^2 - 24785/8319*c_0110_11 + 13667/5546, c_0101_0 - 1, c_0101_10 - 1471/5546*c_0110_11^10 - 4639/16638*c_0110_11^9 + 2260/2773*c_0110_11^8 + 1309/2773*c_0110_11^7 - 41465/8319*c_0110_11^6 - 2333/2773*c_0110_11^5 + 23554/2773*c_0110_11^4 - 16535/16638*c_0110_11^3 - 77824/8319*c_0110_11^2 + 18445/16638*c_0110_11 + 44843/16638, c_0101_12 - 1621/5546*c_0110_11^10 - 1841/5546*c_0110_11^9 + 4881/5546*c_0110_11^8 + 1516/2773*c_0110_11^7 - 15309/2773*c_0110_11^6 - 6927/5546*c_0110_11^5 + 26872/2773*c_0110_11^4 - 3729/2773*c_0110_11^3 - 30850/2773*c_0110_11^2 + 8213/5546*c_0110_11 + 18401/5546, c_0101_2 + 547/16638*c_0110_11^10 + 921/5546*c_0110_11^9 + 24/2773*c_0110_11^8 - 4027/8319*c_0110_11^7 + 2823/5546*c_0110_11^6 + 7293/2773*c_0110_11^5 - 10214/8319*c_0110_11^4 - 32873/8319*c_0110_11^3 + 28906/8319*c_0110_11^2 + 33104/8319*c_0110_11 - 13667/5546, c_0101_3 - 4187/16638*c_0110_11^10 - 547/16638*c_0110_11^9 + 2422/2773*c_0110_11^8 - 3151/8319*c_0110_11^7 - 38879/8319*c_0110_11^6 + 20305/5546*c_0110_11^5 + 50245/8319*c_0110_11^4 - 44831/5546*c_0110_11^3 - 19785/5546*c_0110_11^2 + 110405/16638*c_0110_11 - 15089/8319, c_0101_4 + c_0110_11, c_0110_11^11 + c_0110_11^10 - 4*c_0110_11^9 - 2*c_0110_11^8 + 22*c_0110_11^7 + 2*c_0110_11^6 - 49*c_0110_11^5 + 13*c_0110_11^4 + 62*c_0110_11^3 - 26*c_0110_11^2 - 31*c_0110_11 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB