Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 4088557521] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s378 geometric_solution 4.59786363 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385100009183 0.192915338499 2 0 3 0 0132 2310 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539094445069 0.846956694651 1 4 3 3 0132 0132 3012 1230 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.298391052126 1.460129558238 2 2 4 1 3012 1230 3201 0132 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 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 1.298391052126 1.460129558238 3 2 5 5 2310 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 0 -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 -0.316443184045 0.513677207578 5 4 4 5 3012 3201 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.178888650122 1.039344920129 ==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' : 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_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' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], '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_0101_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], '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' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 629005409617/53855030090*c_0101_3^14 + 3081550203217/5385503009*c_0101_3^12 - 125499748595713/53855030090*c_0101_3^10 + 76967912940421/26927515045*c_0101_3^8 - 160232427950707/26927515045*c_0101_3^6 + 350683536372888/26927515045*c_0101_3^4 - 95852472558363/10771006018*c_0101_3^2 + 21901319180133/53855030090, c_0011_0 - 1, c_0011_1 - 4793521416/26927515045*c_0101_3^14 + 228911777212/26927515045*c_0101_3^12 - 673380126456/26927515045*c_0101_3^10 + 340677364451/26927515045*c_0101_3^8 - 2016125476874/26927515045*c_0101_3^6 + 2833073888249/26927515045*c_0101_3^4 - 137088159022/26927515045*c_0101_3^2 - 11299879919/26927515045, c_0011_3 + 4429641503/26927515045*c_0101_3^14 - 212045811606/26927515045*c_0101_3^12 + 646648598648/26927515045*c_0101_3^10 - 386111534228/26927515045*c_0101_3^8 + 1903546918452/26927515045*c_0101_3^6 - 2839623903552/26927515045*c_0101_3^4 + 411994431746/26927515045*c_0101_3^2 - 12345945293/26927515045, c_0011_5 + 3334949817/26927515045*c_0101_3^14 - 159408943699/26927515045*c_0101_3^12 + 475607808447/26927515045*c_0101_3^10 - 255588799032/26927515045*c_0101_3^8 + 1415566305018/26927515045*c_0101_3^6 - 2050198220348/26927515045*c_0101_3^4 + 165673183429/26927515045*c_0101_3^2 - 9778278047/26927515045, c_0101_0 - 1356307562/26927515045*c_0101_3^15 + 64045968644/26927515045*c_0101_3^13 - 155852878517/26927515045*c_0101_3^11 - 10832029638/26927515045*c_0101_3^9 - 505058328733/26927515045*c_0101_3^7 + 492716292213/26927515045*c_0101_3^5 + 454984442001/26927515045*c_0101_3^3 - 94269937338/26927515045*c_0101_3, c_0101_3^16 - 49*c_0101_3^14 + 200*c_0101_3^12 - 248*c_0101_3^10 + 516*c_0101_3^8 - 1122*c_0101_3^6 + 785*c_0101_3^4 - 60*c_0101_3^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB