Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 1309659794] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1788 geometric_solution 5.46423542 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 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 0.190753871924 0.665796937875 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 1 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 -0.440913275140 1.599631703162 3 0 6 5 0132 0132 0132 2310 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 -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 -0.440913275140 1.599631703162 2 1 3 3 0132 0132 2031 1302 0 0 0 0 0 1 0 -1 0 0 1 -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 -1 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 0.134253171890 0.506952218634 6 5 1 6 1230 3120 0132 1302 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.502668089292 1.131519210361 2 4 6 1 3201 3120 1302 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 1 0 -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 -0.093663345228 0.385474111848 5 4 4 2 2031 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.502668089292 1.131519210361 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : 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_6' : d['c_0011_5'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 84486433152/8910553*c_0101_6^7 - 223887189592/8910553*c_0101_6^6 - 200419196020/8910553*c_0101_6^5 + 49883364833/8910553*c_0101_6^4 + 251640975059/8910553*c_0101_6^3 + 220040017799/8910553*c_0101_6^2 + 86246180797/8910553*c_0101_6 + 13029332524/8910553, c_0011_0 - 1, c_0011_4 - 4015824736/8910553*c_0101_6^7 - 6250041094/8910553*c_0101_6^6 - 1536054275/8910553*c_0101_6^5 + 5286121001/8910553*c_0101_6^4 + 5889607438/8910553*c_0101_6^3 + 2474590607/8910553*c_0101_6^2 + 456036291/8910553*c_0101_6 + 48494207/8910553, c_0011_5 - c_0101_6, c_0101_0 + 3511201232/8910553*c_0101_6^7 + 5116631949/8910553*c_0101_6^6 + 986699098/8910553*c_0101_6^5 - 4592182663/8910553*c_0101_6^4 - 4729604816/8910553*c_0101_6^3 - 1851733895/8910553*c_0101_6^2 - 310163603/8910553*c_0101_6 - 33985139/8910553, c_0101_1 - 4803741184/8910553*c_0101_6^7 - 7750318048/8910553*c_0101_6^6 - 2208537160/8910553*c_0101_6^5 + 6323751353/8910553*c_0101_6^4 + 7428873749/8910553*c_0101_6^3 + 3260096668/8910553*c_0101_6^2 + 613382537/8910553*c_0101_6 + 60911689/8910553, c_0101_2 - 3187435328/8910553*c_0101_6^7 - 4856262004/8910553*c_0101_6^6 - 1051058700/8910553*c_0101_6^5 + 4245943114/8910553*c_0101_6^4 + 4539091581/8910553*c_0101_6^3 + 1790537365/8910553*c_0101_6^2 + 290375821/8910553*c_0101_6 + 27361004/8910553, c_0101_6^8 + 33/16*c_0101_6^7 + 207/176*c_0101_6^6 - 197/176*c_0101_6^5 - 47/22*c_0101_6^4 - 15/11*c_0101_6^3 - 75/176*c_0101_6^2 - 3/44*c_0101_6 - 1/176 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB