Magma V2.19-8 Tue Aug 20 2013 23:29:32 on localhost [Seed = 1916015646] Type ? for help. Type -D to quit. Loading file "K10n10__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n10 geometric_solution 7.37434389 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 0 0 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347202240549 0.960075211200 0 5 6 3 0132 0132 0132 3012 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864194759548 1.080203832247 6 0 5 7 0132 0132 0321 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 -1 0 1 0 0 0 0 0 1 0 -1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272255299204 0.559580701960 7 5 1 0 3120 0321 1230 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 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 0.544510598409 1.119161403920 5 6 0 7 0321 1230 0132 1230 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 1 -1 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 1.096820821561 1.128932568702 4 1 2 3 0321 0132 0321 0321 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 0 0 0 0 0 0.462293165103 0.439662391738 2 7 4 1 0132 0132 3012 0132 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 -2 2 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 0.924586330206 0.879324783476 4 6 2 3 3012 0132 0132 3120 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 2 -1 -1 1 0 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 1.296958472400 1.444998399191 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), '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_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], '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_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 5271/170*c_1001_2^4 + 31344/85*c_1001_2^3 + 10905/17*c_1001_2^2 + 18299/34*c_1001_2 + 35349/170, c_0011_0 - 1, c_0011_3 + 5/17*c_1001_2^4 + 62/17*c_1001_2^3 + 128/17*c_1001_2^2 + 90/17*c_1001_2 + 30/17, c_0101_0 - 8/17*c_1001_2^4 - 89/17*c_1001_2^3 - 96/17*c_1001_2^2 - 59/17*c_1001_2 - 14/17, c_0101_1 - 8/17*c_1001_2^4 - 89/17*c_1001_2^3 - 96/17*c_1001_2^2 - 59/17*c_1001_2 - 14/17, c_0101_3 - 8/17*c_1001_2^4 - 89/17*c_1001_2^3 - 96/17*c_1001_2^2 - 42/17*c_1001_2 + 3/17, c_0101_6 - 3/17*c_1001_2^4 - 27/17*c_1001_2^3 + 32/17*c_1001_2^2 + 31/17*c_1001_2 + 16/17, c_1001_0 + c_1001_2 + 1, c_1001_2^5 + 12*c_1001_2^4 + 22*c_1001_2^3 + 20*c_1001_2^2 + 9*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB