Magma V2.19-8 Tue Aug 20 2013 16:14:56 on localhost [Seed = 4155927532] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s911 geometric_solution 5.69302109 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 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 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 0.500000000000 1.377642564566 0 5 1 1 0132 0132 2031 1302 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391621714024 0.558751881412 2 0 5 2 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0.108378285976 0.818890683154 5 3 3 0 3201 3201 2310 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 0 -1 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 0.108378285976 0.818890683154 4 4 0 5 1302 2031 0132 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 -1 1 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391621714024 0.558751881412 2 1 4 3 2310 0132 0132 2310 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.377642564566 ==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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + c_0101_5^5 - c_0101_5^4 + 3*c_0101_5^3 - 3*c_0101_5^2 - 5, c_0011_0 - 1, c_0011_3 + 1, c_0011_4 + 1/3*c_0101_5^5 - 1/3*c_0101_5^4 + 2/3*c_0101_5^3 - 1/3*c_0101_5^2 - 1/3*c_0101_5 - 2/3, c_0101_0 - c_0101_5, c_0101_2 + 2/3*c_0101_5^5 - 2/3*c_0101_5^4 + 7/3*c_0101_5^3 - 5/3*c_0101_5^2 + 4/3*c_0101_5 - 4/3, c_0101_5^6 + 4*c_0101_5^4 + c_0101_5^3 + 4*c_0101_5^2 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 779336363314/69641889455*c_0101_5^11 + 4557105969573/181068912583*c_0101_5^10 - 1097600915758/69641889455*c_0101_5^9 - 364707450868/181068912583*c_0101_5^8 + 47493512414454/905344562915*c_0101_5^7 - 48026262648791/905344562915*c_0101_5^6 - 1636541831968/181068912583*c_0101_5^5 + 4033369456781/69641889455*c_0101_5^4 - 56371743827156/905344562915*c_0101_5^3 - 18323662263967/905344562915*c_0101_5^2 + 6412100269030/181068912583*c_0101_5 - 5986584004122/181068912583, c_0011_0 - 1, c_0011_3 + 30879657952/208925668365*c_0101_5^11 - 103478504504/208925668365*c_0101_5^10 + 27559421320/41785133673*c_0101_5^9 - 72391746668/208925668365*c_0101_5^8 - 138619308787/208925668365*c_0101_5^7 + 78590340603/69641889455*c_0101_5^6 - 192771938909/208925668365*c_0101_5^5 - 23736863467/41785133673*c_0101_5^4 + 453744029477/208925668365*c_0101_5^3 + 69918120031/208925668365*c_0101_5^2 + 2663203063/69641889455*c_0101_5 + 117947736211/208925668365, c_0011_4 + 7095348247/208925668365*c_0101_5^11 + 125163093557/208925668365*c_0101_5^10 - 184207418902/208925668365*c_0101_5^9 - 11963482412/69641889455*c_0101_5^8 - 61794419351/208925668365*c_0101_5^7 - 117396513191/69641889455*c_0101_5^6 + 69114224818/208925668365*c_0101_5^5 + 509743502054/208925668365*c_0101_5^4 + 29910100223/208925668365*c_0101_5^3 + 8861519124/69641889455*c_0101_5^2 + 347047378799/208925668365*c_0101_5 + 183919817699/208925668365, c_0101_0 - 240577112672/208925668365*c_0101_5^11 + 400301735674/208925668365*c_0101_5^10 - 4380038948/41785133673*c_0101_5^9 - 47539888262/208925668365*c_0101_5^8 + 778404722327/208925668365*c_0101_5^7 - 152374507658/69641889455*c_0101_5^6 - 851755129511/208925668365*c_0101_5^5 + 95593047260/41785133673*c_0101_5^4 - 242974265797/208925668365*c_0101_5^3 - 525607648766/208925668365*c_0101_5^2 + 85097074147/69641889455*c_0101_5 + 42966065704/208925668365, c_0101_2 + 65969852/223928905*c_0101_5^11 - 424103591/671786715*c_0101_5^10 + 7106155/44785781*c_0101_5^9 + 252719123/671786715*c_0101_5^8 - 987267811/671786715*c_0101_5^7 + 46842885/44785781*c_0101_5^6 + 296182387/223928905*c_0101_5^5 - 215527123/134357343*c_0101_5^4 + 252473499/223928905*c_0101_5^3 + 1212788771/671786715*c_0101_5^2 - 752084947/671786715*c_0101_5 + 107168293/671786715, c_0101_5^12 - 22/13*c_0101_5^11 + 3/13*c_0101_5^10 + 9/13*c_0101_5^9 - 57/13*c_0101_5^8 + 29/13*c_0101_5^7 + 40/13*c_0101_5^6 - 4*c_0101_5^5 + 36/13*c_0101_5^4 + 54/13*c_0101_5^3 - 23/13*c_0101_5^2 + 16/13*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB