Magma V2.19-8 Tue Aug 20 2013 16:16:41 on localhost [Seed = 2050746032] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0975 geometric_solution 4.87027223 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 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 1 -2 1 0 0 -1 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.922940568130 0.594273578864 0 0 3 2 0132 3201 0132 0132 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 0 1 -1 0 -1 0 0 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109372042250 1.248673705173 4 3 1 3 0132 2031 0132 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770079596538 0.648914929178 2 4 2 1 1302 2310 1230 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770079596538 0.648914929178 2 5 5 3 0132 0132 3201 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 0 0 0 0 -1 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 0.343808081411 0.221174122720 4 4 6 6 2310 0132 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 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804815324615 2.678195734692 6 5 6 5 2310 2310 3201 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 -1 0 1 0 -1 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 -0.479843858059 0.356845375982 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_3_0' : d['1'], 's_2_0' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} 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_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 113704794/31138375*c_0101_1*c_0101_5^11 - 190836531/31138375*c_0101_1*c_0101_5^10 - 371003151/31138375*c_0101_1*c_0101_5^9 - 2242783021/31138375*c_0101_1*c_0101_5^8 + 168751267/6227675*c_0101_1*c_0101_5^7 + 208099699/31138375*c_0101_1*c_0101_5^6 + 1511503714/6227675*c_0101_1*c_0101_5^5 + 1937272568/6227675*c_0101_1*c_0101_5^4 - 11566721477/31138375*c_0101_1*c_0101_5^3 - 4176130838/31138375*c_0101_1*c_0101_5^2 + 324852926/31138375*c_0101_1*c_0101_5 - 128486972/31138375*c_0101_1, c_0011_0 - 1, c_0011_2 - 6333594/31138375*c_0101_1*c_0101_5^11 - 17587416/31138375*c_0101_1*c_0101_5^10 - 37262846/31138375*c_0101_1*c_0101_5^9 - 161250571/31138375*c_0101_1*c_0101_5^8 - 24242826/6227675*c_0101_1*c_0101_5^7 - 66582621/31138375*c_0101_1*c_0101_5^6 + 65938244/6227675*c_0101_1*c_0101_5^5 + 180255068/6227675*c_0101_1*c_0101_5^4 + 187338598/31138375*c_0101_1*c_0101_5^3 - 280137618/31138375*c_0101_1*c_0101_5^2 + 32309841/31138375*c_0101_1*c_0101_5 + 13503138/31138375*c_0101_1, c_0011_6 - 4049558/31138375*c_0101_1*c_0101_5^11 - 8619842/31138375*c_0101_1*c_0101_5^10 - 20733332/31138375*c_0101_1*c_0101_5^9 - 96987022/31138375*c_0101_1*c_0101_5^8 - 6224731/6227675*c_0101_1*c_0101_5^7 - 90758457/31138375*c_0101_1*c_0101_5^6 + 41427678/6227675*c_0101_1*c_0101_5^5 + 78060991/6227675*c_0101_1*c_0101_5^4 - 27643489/31138375*c_0101_1*c_0101_5^3 + 209835059/31138375*c_0101_1*c_0101_5^2 + 42155307/31138375*c_0101_1*c_0101_5 + 7991021/31138375*c_0101_1, c_0101_0 - 10568731/31138375*c_0101_5^11 - 15964509/31138375*c_0101_5^10 - 33621104/31138375*c_0101_5^9 - 208005854/31138375*c_0101_5^8 + 20363401/6227675*c_0101_5^7 - 46316154/31138375*c_0101_5^6 + 133922336/6227675*c_0101_5^5 + 150775797/6227675*c_0101_5^4 - 1123466098/31138375*c_0101_5^3 + 69517018/31138375*c_0101_5^2 + 91736409/31138375*c_0101_5 - 33795163/31138375, c_0101_1^2 - 10568731/31138375*c_0101_5^11 - 15964509/31138375*c_0101_5^10 - 33621104/31138375*c_0101_5^9 - 208005854/31138375*c_0101_5^8 + 20363401/6227675*c_0101_5^7 - 46316154/31138375*c_0101_5^6 + 133922336/6227675*c_0101_5^5 + 150775797/6227675*c_0101_5^4 - 1123466098/31138375*c_0101_5^3 + 69517018/31138375*c_0101_5^2 + 91736409/31138375*c_0101_5 - 64933538/31138375, c_0101_4 - 842892/6227675*c_0101_5^11 - 245279/1245535*c_0101_5^10 - 2736737/6227675*c_0101_5^9 - 16547348/6227675*c_0101_5^8 + 8822387/6227675*c_0101_5^7 - 6156772/6227675*c_0101_5^6 + 11365662/1245535*c_0101_5^5 + 11487571/1245535*c_0101_5^4 - 81768936/6227675*c_0101_5^3 + 2838304/1245535*c_0101_5^2 - 13501054/6227675*c_0101_5 - 1304234/6227675, c_0101_5^12 + c_0101_5^11 + 2*c_0101_5^10 + 17*c_0101_5^9 - 22*c_0101_5^8 - c_0101_5^7 - 72*c_0101_5^6 - 45*c_0101_5^5 + 163*c_0101_5^4 - 7*c_0101_5^3 + 5*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB