Magma V2.19-8 Tue Aug 20 2013 23:45:28 on localhost [Seed = 1613104549] Type ? for help. Type -D to quit. Loading file "K13n2999__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2999 geometric_solution 11.22956273 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 2031 0132 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 1 -1 -1 0 0 1 0 -13 0 13 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331386854501 1.240125336616 0 4 5 0 0132 0132 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 1 0 0 -1 1 0 0 -1 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798882561429 0.752627413608 5 0 7 6 0213 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 14 0 0 -14 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482793775190 0.539118342615 6 8 0 9 0321 0132 0132 0132 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 -1 1 -14 0 0 14 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214432458363 0.716430282458 6 1 9 7 3120 0132 1230 3120 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 1 0 -1 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694953455595 0.633791079822 2 8 6 1 0213 1023 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 -14 0 0 14 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.926642339936 0.965900753973 3 5 2 4 0321 1230 0132 3120 0 0 0 0 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 -13 0 14 -1 14 0 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589334267950 0.900812152462 4 8 10 2 3120 0321 0132 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 0.363089587698 1.755681060846 5 3 11 7 1023 0132 0132 0321 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 1 -1 0 0 0 0 0 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887037541069 0.546217948549 11 10 3 4 0132 0213 0132 3012 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 1 0 -1 0 -1 0 0 1 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488481551949 0.969031651937 11 11 9 7 2310 0132 0213 0132 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 -1 1 0 0 1 13 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352838080082 0.424290550083 9 10 10 8 0132 0132 3201 0132 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 -1 1 -1 0 1 0 0 -13 0 13 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.080690695365 0.708519514967 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], '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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_4']), 'c_1010_8' : d['c_1001_2'], '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_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0011_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_4']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_1001_10, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2720/603*c_1001_4^5 - 1588/603*c_1001_4^4 + 30460/603*c_1001_4^3 + 17801/603*c_1001_4^2 - 125674/603*c_1001_4 - 73508/603, c_0011_0 - 1, c_0011_10 - 2/201*c_1001_4^5 + 49/201*c_1001_4^3 - 247/201*c_1001_4, c_0011_3 + 7/201*c_1001_4^5 - 71/201*c_1001_4^3 + 161/201*c_1001_4 + 1, c_0011_6 + 7/201*c_1001_4^5 - 71/201*c_1001_4^3 + 161/201*c_1001_4, c_0011_7 - 7/201*c_1001_4^5 + 3/67*c_1001_4^4 + 71/201*c_1001_4^3 - 40/67*c_1001_4^2 - 161/201*c_1001_4 + 69/67, c_0101_0 - 7/201*c_1001_4^5 + 71/201*c_1001_4^3 - 161/201*c_1001_4 + 1, c_0101_1 - 1, c_0101_11 - 1/67*c_1001_4^4 - 9/67*c_1001_4^2 - 23/67, c_0101_4 - 7/201*c_1001_4^5 + 71/201*c_1001_4^3 - 161/201*c_1001_4, c_1001_10 + 1/67*c_1001_4^4 + 9/67*c_1001_4^2 + 23/67, c_1001_2 - 7/201*c_1001_4^5 + 3/67*c_1001_4^4 + 71/201*c_1001_4^3 - 40/67*c_1001_4^2 - 161/201*c_1001_4 + 69/67, c_1001_4^6 - 11*c_1001_4^4 + 44*c_1001_4^2 + 9 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_1001_10, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + c_1001_4^2 - 2*c_1001_4, c_0011_0 - 1, c_0011_10 + 2*c_1001_4^5 - 9*c_1001_4^3 + 3*c_1001_4, c_0011_3 + c_1001_4^5 - 5*c_1001_4^3 + 3*c_1001_4 - 1, c_0011_6 - c_1001_4^5 + 5*c_1001_4^3 - 3*c_1001_4, c_0011_7 + c_1001_4^5 - c_1001_4^4 - 5*c_1001_4^3 + 4*c_1001_4^2 + 3*c_1001_4 - 1, c_0101_0 - c_1001_4^5 + 5*c_1001_4^3 - 3*c_1001_4 - 1, c_0101_1 - 1, c_0101_11 + c_1001_4^4 - 5*c_1001_4^2 + 3, c_0101_4 + c_1001_4^5 - 5*c_1001_4^3 + 3*c_1001_4, c_1001_10 - c_1001_4^4 + 5*c_1001_4^2 - 3, c_1001_2 + c_1001_4^5 - c_1001_4^4 - 5*c_1001_4^3 + 4*c_1001_4^2 + 3*c_1001_4 - 1, c_1001_4^6 - 5*c_1001_4^4 + 4*c_1001_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.500 Total time: 0.710 seconds, Total memory usage: 32.09MB