Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 1848636187] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3198 geometric_solution 6.34557931 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 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 0.609885980477 0.559511743239 0 4 0 5 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109674089324 0.816788413374 6 3 3 0 0132 3012 1230 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 1 0 -1 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 0.823460520933 0.728666107704 2 6 0 2 1230 0132 0132 3012 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 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 0.823460520933 0.728666107704 5 1 5 6 3201 0132 2310 2103 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 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 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 0.314059857332 1.296281007726 6 4 1 4 2103 3201 0132 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 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 0.314059857332 1.296281007726 2 3 5 4 0132 0132 2103 2103 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 0 0 0 0 0 0 1 -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 1.580931728503 0.813129111913 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_0_6' : 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' : d['c_0101_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_1001_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + c_1001_1^6 - 15/2*c_1001_1^4 + 2*c_1001_1^3 + 14*c_1001_1^2 - 9/2*c_1001_1 - 9, c_0011_0 - 1, c_0011_2 + c_1001_1^2 - 1, c_0011_5 + c_1001_1^4 - c_1001_1^3 - 2*c_1001_1^2 + c_1001_1 + 1, c_0101_0 - c_1001_1, c_0101_1 - 1, c_0101_4 - c_1001_1^2 + 1, c_1001_1^7 - 2*c_1001_1^6 - 3*c_1001_1^5 + 6*c_1001_1^4 + 3*c_1001_1^3 - 6*c_1001_1^2 - 2*c_1001_1 + 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 6780035050/14443*c_1001_1^11 - 358203505981/447733*c_1001_1^10 + 513863257832/447733*c_1001_1^9 + 1212333402244/447733*c_1001_1^8 - 182415765580/447733*c_1001_1^7 - 1456270473309/447733*c_1001_1^6 - 354949596294/447733*c_1001_1^5 + 640568147885/447733*c_1001_1^4 + 246812331043/447733*c_1001_1^3 - 102059334170/447733*c_1001_1^2 - 62560163007/447733*c_1001_1 - 9479917426/447733, c_0011_0 - 1, c_0011_2 + 2633830649/14443*c_1001_1^11 + 4537764711/14443*c_1001_1^10 - 6388954306/14443*c_1001_1^9 - 15346346890/14443*c_1001_1^8 + 2106999634/14443*c_1001_1^7 + 18413318775/14443*c_1001_1^6 + 4677921916/14443*c_1001_1^5 - 8100400065/14443*c_1001_1^4 - 3194294933/14443*c_1001_1^3 + 1289898958/14443*c_1001_1^2 + 800797193/14443*c_1001_1 + 122013175/14443, c_0011_5 + 892560804/14443*c_1001_1^11 + 1537273310/14443*c_1001_1^10 - 2165564407/14443*c_1001_1^9 - 5199039036/14443*c_1001_1^8 + 715631996/14443*c_1001_1^7 + 6238241522/14443*c_1001_1^6 + 1583238886/14443*c_1001_1^5 - 2744252624/14443*c_1001_1^4 - 1081684996/14443*c_1001_1^3 + 436994119/14443*c_1001_1^2 + 271256101/14443*c_1001_1 + 41312728/14443, c_0101_0 - c_1001_1, c_0101_1 - 1587283669/14443*c_1001_1^11 - 2737375162/14443*c_1001_1^10 + 3847697983/14443*c_1001_1^9 + 9257036534/14443*c_1001_1^8 - 1260477129/14443*c_1001_1^7 - 11106159011/14443*c_1001_1^6 - 2831121998/14443*c_1001_1^5 + 4886194383/14443*c_1001_1^4 + 1930200549/14443*c_1001_1^3 - 778141578/14443*c_1001_1^2 - 483417855/14443*c_1001_1 - 73678206/14443, c_0101_4 - 186045198/14443*c_1001_1^11 - 315974706/14443*c_1001_1^10 + 456108935/14443*c_1001_1^9 + 1069813856/14443*c_1001_1^8 - 165859689/14443*c_1001_1^7 - 1285869672/14443*c_1001_1^6 - 308649808/14443*c_1001_1^5 + 565994020/14443*c_1001_1^4 + 216034224/14443*c_1001_1^3 - 90343784/14443*c_1001_1^2 - 54959494/14443*c_1001_1 - 8287880/14443, c_1001_1^12 + 75/31*c_1001_1^11 - 38/31*c_1001_1^10 - 233/31*c_1001_1^9 - 101/31*c_1001_1^8 + 234/31*c_1001_1^7 + 206/31*c_1001_1^6 - 57/31*c_1001_1^5 - 104/31*c_1001_1^4 - 11/31*c_1001_1^3 + 20/31*c_1001_1^2 + 8/31*c_1001_1 + 1/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB