Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 3229703392] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s249 geometric_solution 4.41456144 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 0213 0132 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 1 0 -1 1 0 -1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301067317631 1.505710766790 0 3 0 2 0132 1302 0213 1302 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 0 1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872310418640 0.638606604574 4 4 1 0 0132 3201 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 -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 0.064577070053 0.263688040558 5 5 0 1 0132 2310 0132 2031 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 -2 1 1 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 -0.926531768411 1.257854010370 2 4 2 4 0132 1302 2310 2031 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 -1.749095007432 3.751213418144 3 5 5 3 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 -1 -1 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.051780008504 0.574912991658 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : negation(d['c_1010_1']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_2, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3/32*c_1010_1^3 - 7/8*c_1010_1^2 - 13/8*c_1010_1 - 7/2, c_0011_0 - 1, c_0011_2 + 3/16*c_1010_1^3 + 1/4*c_1010_1^2 + 1/4*c_1010_1 - 1, c_0011_3 - 3/16*c_1010_1^3 - 1/4*c_1010_1^2 - 1/4*c_1010_1 + 1, c_0101_0 - 1, c_0101_2 + 1/2*c_1010_1, c_1010_1^4 + 4/3*c_1010_1^3 + 8/3*c_1010_1^2 - 16/3*c_1010_1 - 16/3 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_2, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 53893/5247*c_1010_1^6 + 7156/477*c_1010_1^5 + 93563/1749*c_1010_1^4 + 57203/1749*c_1010_1^3 - 39284/5247*c_1010_1^2 - 734729/5247*c_1010_1 - 298271/1749, c_0011_0 - 1, c_0011_2 - 158/1749*c_1010_1^6 - 20/159*c_1010_1^5 - 360/583*c_1010_1^4 - 267/583*c_1010_1^3 - 734/1749*c_1010_1^2 + 2503/1749*c_1010_1 + 853/583, c_0011_3 - 23/159*c_1010_1^6 - 28/159*c_1010_1^5 - 41/53*c_1010_1^4 - 7/53*c_1010_1^3 + 28/159*c_1010_1^2 + 466/159*c_1010_1 + 150/53, c_0101_0 + 71/583*c_1010_1^6 + 11/53*c_1010_1^5 + 382/583*c_1010_1^4 + 157/583*c_1010_1^3 + 197/583*c_1010_1^2 - 1003/583*c_1010_1 - 578/583, c_0101_2 + 103/583*c_1010_1^6 + 7/53*c_1010_1^5 + 431/583*c_1010_1^4 - 35/583*c_1010_1^3 - 289/583*c_1010_1^2 - 1414/583*c_1010_1 - 1052/583, c_1010_1^7 + 2*c_1010_1^6 + 6*c_1010_1^5 + 6*c_1010_1^4 + c_1010_1^3 - 14*c_1010_1^2 - 24*c_1010_1 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB