Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 3120047542] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s555 geometric_solution 4.98502948 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502790316970 0.320136534582 2 0 3 0 0132 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 0 1 -1 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 1.639555928222 0.748197843399 1 3 4 5 0132 1230 0132 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 -1 1 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 0.837077391819 0.885667586463 5 4 2 1 3201 1023 3012 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837077391819 0.885667586463 3 4 4 2 1023 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 -1 0 1 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023565022236 0.785204569688 5 5 2 3 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.544236591645 0.414483909073 ==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_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_1_5' : negation(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' : negation(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' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_0']})} 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_1, c_0011_3, c_0011_5, c_0101_3, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 83791/90698*c_0110_0^18 + 661164/45349*c_0110_0^17 + 756174/45349*c_0110_0^16 - 8549938/45349*c_0110_0^15 - 8083203/90698*c_0110_0^14 + 44900888/45349*c_0110_0^13 + 6502951/45349*c_0110_0^12 - 256953253/90698*c_0110_0^11 + 20943131/90698*c_0110_0^10 + 225174748/45349*c_0110_0^9 - 52287469/45349*c_0110_0^8 - 258060877/45349*c_0110_0^7 + 147961565/90698*c_0110_0^6 + 405560713/90698*c_0110_0^5 - 92573617/90698*c_0110_0^4 - 106820097/45349*c_0110_0^3 + 29910817/90698*c_0110_0^2 + 56063815/90698*c_0110_0 - 6593680/45349, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_3 + 22511/45349*c_0110_0^18 + 24664/45349*c_0110_0^17 - 280469/45349*c_0110_0^16 - 251810/45349*c_0110_0^15 + 1440725/45349*c_0110_0^14 + 979335/45349*c_0110_0^13 - 4130187/45349*c_0110_0^12 - 1939919/45349*c_0110_0^11 + 7451462/45349*c_0110_0^10 + 2326204/45349*c_0110_0^9 - 8954740/45349*c_0110_0^8 - 2294988/45349*c_0110_0^7 + 7248848/45349*c_0110_0^6 + 2318343/45349*c_0110_0^5 - 3612538/45349*c_0110_0^4 - 1513914/45349*c_0110_0^3 + 771556/45349*c_0110_0^2 + 263648/45349*c_0110_0 - 10017/45349, c_0011_5 + c_0110_0^3 - 2*c_0110_0, c_0101_3 - 36838/45349*c_0110_0^18 + 864/45349*c_0110_0^17 + 472157/45349*c_0110_0^16 - 98563/45349*c_0110_0^15 - 2429869/45349*c_0110_0^14 + 930299/45349*c_0110_0^13 + 6693307/45349*c_0110_0^12 - 3578908/45349*c_0110_0^11 - 11088428/45349*c_0110_0^10 + 7173790/45349*c_0110_0^9 + 12001202/45349*c_0110_0^8 - 8170095/45349*c_0110_0^7 - 9267077/45349*c_0110_0^6 + 5417892/45349*c_0110_0^5 + 5083010/45349*c_0110_0^4 - 2084104/45349*c_0110_0^3 - 1417447/45349*c_0110_0^2 + 431336/45349*c_0110_0 + 37158/45349, c_0110_0^19 - c_0110_0^18 - 13*c_0110_0^17 + 15*c_0110_0^16 + 66*c_0110_0^15 - 88*c_0110_0^14 - 171*c_0110_0^13 + 270*c_0110_0^12 + 246*c_0110_0^11 - 485*c_0110_0^10 - 205*c_0110_0^9 + 543*c_0110_0^8 + 115*c_0110_0^7 - 399*c_0110_0^6 - 58*c_0110_0^5 + 194*c_0110_0^4 + 14*c_0110_0^3 - 49*c_0110_0^2 + 5*c_0110_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB