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Loading file "K12n439__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n439 geometric_solution 8.24597548 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 -2 3 -1 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 0.883843705021 0.719667211948 0 5 4 6 0132 0132 1230 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 -3 3 0 0 0 0 0 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218580003606 1.354251715855 5 0 7 6 3201 0132 0132 3201 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 2 0 -2 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 0 0 0.266871957561 0.985768543848 5 5 8 0 0132 3201 0132 0132 0 0 0 0 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 3 0 -3 1 0 -1 0 -3 3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774391322611 0.805537628792 7 8 0 1 0321 3012 0132 3012 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 0 0 1 -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 0 0 0 0.727656046010 0.522828123721 3 1 3 2 0132 0132 2310 2310 0 0 0 0 0 1 -1 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 3 -3 0 -1 0 1 0 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379778794145 0.645166732765 8 2 1 7 1230 2310 0132 3201 0 0 0 0 0 1 0 -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 2 0 -2 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 -0.313457376933 0.614732133620 4 6 8 2 0321 2310 0321 0132 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 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269617194712 1.582908246337 4 6 7 3 1230 3012 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563917947240 0.515502374300 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0110_2'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_8' : negation(d['c_0011_6']), 's_2_8' : 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_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_8' : d['c_0110_2'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0011_6']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0101_0']), '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_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_8' : d['1'], 'c_0011_8' : d['c_0011_8'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_1'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0011_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2434168/572985*c_1001_0^7 - 545504/81855*c_1001_0^6 + 1740482/190995*c_1001_0^5 - 2864714/114597*c_1001_0^4 - 11509331/572985*c_1001_0^3 + 1284953/63665*c_1001_0^2 + 25428913/572985*c_1001_0 - 16894/572985, c_0011_0 - 1, c_0011_4 - 613/1819*c_1001_0^7 + 1018/1819*c_1001_0^6 - 1728/1819*c_1001_0^5 + 3856/1819*c_1001_0^4 + 1843/1819*c_1001_0^3 - 1474/1819*c_1001_0^2 - 4441/1819*c_1001_0 + 1773/1819, c_0011_6 + 120/1819*c_1001_0^7 - 134/1819*c_1001_0^6 + 181/1819*c_1001_0^5 - 286/1819*c_1001_0^4 - 432/1819*c_1001_0^3 + 1066/1819*c_1001_0^2 - 98/1819*c_1001_0 - 991/1819, c_0011_7 - 32/1819*c_1001_0^7 + 157/1819*c_1001_0^6 + 73/1819*c_1001_0^5 - 45/1819*c_1001_0^4 + 479/1819*c_1001_0^3 - 1982/1819*c_1001_0^2 - 944/1819*c_1001_0 + 143/1819, c_0011_8 + 32/1819*c_1001_0^7 - 157/1819*c_1001_0^6 - 73/1819*c_1001_0^5 + 45/1819*c_1001_0^4 - 479/1819*c_1001_0^3 + 1982/1819*c_1001_0^2 + 944/1819*c_1001_0 - 143/1819, c_0101_0 + 1, c_0101_1 + 41/1819*c_1001_0^7 - 258/1819*c_1001_0^6 + 77/1819*c_1001_0^5 - 795/1819*c_1001_0^4 + 580/1819*c_1001_0^3 + 1971/1819*c_1001_0^2 + 2119/1819*c_1001_0 + 101/1819, c_0110_2 + 208/1819*c_1001_0^7 - 111/1819*c_1001_0^6 + 435/1819*c_1001_0^5 - 617/1819*c_1001_0^4 - 2204/1819*c_1001_0^3 + 150/1819*c_1001_0^2 + 679/1819*c_1001_0 - 20/1819, c_1001_0^8 - 2*c_1001_0^7 + 3*c_1001_0^6 - 7*c_1001_0^5 - 2*c_1001_0^4 + 6*c_1001_0^3 + 7*c_1001_0^2 - 4*c_1001_0 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB