Magma V2.19-8 Wed Aug 21 2013 01:10:51 on localhost [Seed = 2631566704] Type ? for help. Type -D to quit. Loading file "L14n55090__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55090 geometric_solution 12.21130731 oriented_manifold CS_known 0.0000000000000006 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 1 2 0 0 0 0 0 1 0 0 -1 1 0 0 -1 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 -2 4 0 0 -4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743874254353 1.035066934890 0 5 7 6 0132 0132 0132 0132 2 1 0 2 0 0 0 0 -1 0 1 0 -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 0 0 0 -1 0 1 0 0 1 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443319725971 0.717736605388 7 0 9 8 0132 0132 0132 0132 2 1 0 2 0 0 1 -1 -1 0 0 1 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 3 -4 -1 0 -1 2 0 -1 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488056970528 0.532784263043 10 7 6 0 0132 0132 0132 0132 2 1 0 2 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 1 0 0 -1 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443319725971 0.717736605388 8 11 0 7 0132 0132 0132 0132 2 1 0 2 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 -2 0 2 0 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488056970528 0.532784263043 10 1 11 12 1023 0132 2103 0132 2 2 2 0 0 0 0 0 0 0 0 0 1 -1 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 4 -4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573197059388 0.757124699077 10 12 1 3 2103 0132 0132 0132 2 1 2 0 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 0 0 0 0 -3 0 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.056322016804 1.195635603635 2 3 4 1 0132 0132 0132 0132 2 1 2 0 0 0 0 0 1 0 0 -1 1 -1 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 0 -1 3 -3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743874254353 1.035066934890 4 12 2 9 0132 1302 0132 3120 2 1 2 0 0 0 1 -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 0 4 -4 2 0 -2 0 4 -1 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.354689710511 0.914360748686 8 11 10 2 3120 0321 0132 0132 2 1 2 2 0 0 1 -1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 -1 1 3 0 0 -3 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403606446186 0.570731692475 3 5 6 9 0132 1023 2103 0132 2 1 2 0 0 0 1 -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 0 3 -3 -1 0 0 1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.039627935570 0.712682678798 5 4 12 9 2103 0132 1302 0321 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 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 0.544598001377 1.097343173933 11 6 5 8 2031 0132 0132 2031 2 2 0 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 -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 -0.060079232009 1.522224776717 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_12'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_12'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_12'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_0110_12'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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_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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_3']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0101_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_12'], 'c_1010_3' : d['c_0110_12'], 'c_1010_2' : d['c_0110_12'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : d['c_0011_9'], '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' : d['c_0011_9'], '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_0'], 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_11, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_0110_12, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 29168945743/20345580000*c_1100_0^9 + 16267192373/2260620000*c_1100_0^8 - 313528921801/20345580000*c_1100_0^7 + 7662835001/508639500*c_1100_0^6 - 124045574141/10172790000*c_1100_0\ ^5 + 93171194597/3390930000*c_1100_0^4 - 48002476057/4069116000*c_1100_0^3 + 28462969949/1695465000*c_1100_0^2 - 222154894151/20345580000*c_1100_0 + 31652080481/10172790000, c_0011_0 - 1, c_0011_11 - 271/1322*c_1100_0^9 + 286/661*c_1100_0^8 - 520/661*c_1100_0^7 + 191/1322*c_1100_0^6 - 1610/661*c_1100_0^5 - 615/661*c_1100_0^4 - 2261/1322*c_1100_0^3 + 1775/1322*c_1100_0^2 + 1273/1322*c_1100_0 + 2419/1322, c_0011_12 + 659/1322*c_1100_0^9 - 354/661*c_1100_0^8 + 884/661*c_1100_0^7 + 799/1322*c_1100_0^6 + 5381/661*c_1100_0^5 + 4681/661*c_1100_0^4 + 19245/1322*c_1100_0^3 + 7889/1322*c_1100_0^2 + 7817/1322*c_1100_0 - 3253/1322, c_0011_9 + 1/661*c_1100_0^9 - 307/661*c_1100_0^8 + 438/661*c_1100_0^7 - 730/661*c_1100_0^6 - 754/661*c_1100_0^5 - 3359/661*c_1100_0^4 - 4004/661*c_1100_0^3 - 4275/661*c_1100_0^2 - 2917/661*c_1100_0 - 687/661, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 - 1301/1322*c_1100_0^9 + 1073/661*c_1100_0^8 - 2011/661*c_1100_0^7 - 1449/1322*c_1100_0^6 - 7917/661*c_1100_0^5 - 6516/661*c_1100_0^4 - 21289/1322*c_1100_0^3 - 7811/1322*c_1100_0^2 - 4411/1322*c_1100_0 + 4081/1322, c_0101_3 - 15/661*c_1100_0^9 - 22/661*c_1100_0^8 + 40/661*c_1100_0^7 - 287/661*c_1100_0^6 + 73/661*c_1100_0^5 - 1173/661*c_1100_0^4 - 752/661*c_1100_0^3 - 1314/661*c_1100_0^2 - 532/661*c_1100_0 - 271/661, c_0101_7 - 414/3305*c_1100_0^9 + 186/3305*c_1100_0^8 - 218/3305*c_1100_0^7 - 368/661*c_1100_0^6 - 6446/3305*c_1100_0^5 - 7389/3305*c_1100_0^4 - 1745/661*c_1100_0^3 - 5596/3305*c_1100_0^2 + 652/3305*c_1100_0 + 2171/3305, c_0110_12 + 1/2*c_1100_0^9 - c_1100_0^8 + 2*c_1100_0^7 - 1/2*c_1100_0^6 + 7*c_1100_0^5 + 2*c_1100_0^4 + 17/2*c_1100_0^3 - 1/2*c_1100_0^2 + 5/2*c_1100_0 - 5/2, c_1001_1 - 271/1322*c_1100_0^9 + 286/661*c_1100_0^8 - 520/661*c_1100_0^7 + 191/1322*c_1100_0^6 - 1610/661*c_1100_0^5 - 615/661*c_1100_0^4 - 2261/1322*c_1100_0^3 + 1775/1322*c_1100_0^2 + 2595/1322*c_1100_0 + 2419/1322, c_1001_2 - 1/2*c_1100_0^9 + c_1100_0^8 - 2*c_1100_0^7 + 1/2*c_1100_0^6 - 7*c_1100_0^5 - 2*c_1100_0^4 - 17/2*c_1100_0^3 + 1/2*c_1100_0^2 - 3/2*c_1100_0 + 5/2, c_1100_0^10 - 2*c_1100_0^9 + 4*c_1100_0^8 - c_1100_0^7 + 14*c_1100_0^6 + 4*c_1100_0^5 + 17*c_1100_0^4 - c_1100_0^3 + 5*c_1100_0^2 - 5*c_1100_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB