Magma V2.19-8 Tue Aug 20 2013 23:29:34 on localhost [Seed = 829904734] Type ? for help. Type -D to quit. Loading file "K13n1021__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1021 geometric_solution 6.77819889 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 8 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 0 -1 -1 2 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677086297983 1.780512838317 3 0 5 4 0132 0132 0132 0132 0 0 0 0 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 1 0 -1 0 0 0 0 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.186593423472 0.490678938602 5 4 3 0 1023 2031 2310 0132 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 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202012486858 0.450266964880 1 2 5 6 0132 3201 1302 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 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 0.752382582603 0.751963005196 2 6 1 7 1302 2310 0132 0132 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 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849065450036 1.229274410765 3 2 7 1 2031 1023 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 0 0 0 0 0 0 0 0 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037929406636 0.811387458121 7 7 3 4 1230 1023 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486537767597 0.336454891465 6 6 4 5 1023 3012 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.303172691070 1.540163101637 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_7']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0011_6'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_0']})} 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 98/5*c_1100_1^7 + 106/5*c_1100_1^6 + 476/5*c_1100_1^5 + 403/5*c_1100_1^4 + 599/5*c_1100_1^3 + 311/5*c_1100_1^2 + 22/5*c_1100_1 - 158/5, c_0011_0 - 1, c_0011_2 - 2/5*c_1100_1^7 - 1/5*c_1100_1^6 - 7/5*c_1100_1^5 - 2/5*c_1100_1^4 - 3/5*c_1100_1^3 + 1/5*c_1100_1^2 + 3/5*c_1100_1 + 1/5, c_0011_4 - 1/5*c_1100_1^7 - 3/5*c_1100_1^6 - 6/5*c_1100_1^5 - 11/5*c_1100_1^4 - 9/5*c_1100_1^3 - 12/5*c_1100_1^2 - 1/5*c_1100_1 - 2/5, c_0011_6 + 1/5*c_1100_1^7 - 2/5*c_1100_1^6 + 6/5*c_1100_1^5 - 4/5*c_1100_1^4 + 9/5*c_1100_1^3 + 2/5*c_1100_1^2 + 1/5*c_1100_1 + 2/5, c_0101_0 + 1/5*c_1100_1^7 + 3/5*c_1100_1^6 + 6/5*c_1100_1^5 + 11/5*c_1100_1^4 + 9/5*c_1100_1^3 + 7/5*c_1100_1^2 + 1/5*c_1100_1 - 3/5, c_0101_1 - 2/5*c_1100_1^7 - 1/5*c_1100_1^6 - 7/5*c_1100_1^5 - 2/5*c_1100_1^4 - 3/5*c_1100_1^3 + 1/5*c_1100_1^2 + 3/5*c_1100_1 + 1/5, c_0101_7 + 2/5*c_1100_1^7 + 1/5*c_1100_1^6 + 7/5*c_1100_1^5 + 2/5*c_1100_1^4 + 8/5*c_1100_1^3 - 1/5*c_1100_1^2 + 7/5*c_1100_1 - 1/5, c_1100_1^8 + c_1100_1^7 + 5*c_1100_1^6 + 4*c_1100_1^5 + 7*c_1100_1^4 + 4*c_1100_1^3 + 2*c_1100_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB