Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 1157945753] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1787 geometric_solution 5.46294192 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.445746532978 0.715103094061 3 2 4 0 0132 3012 0132 0132 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 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 0.850127117918 0.974145013540 1 3 0 4 1230 2310 0132 3201 0 0 0 0 0 0 -1 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 -1 1 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 0.850127117918 0.974145013540 1 5 5 2 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755451741233 0.429243336522 4 2 4 1 2031 2310 1302 0132 0 0 0 0 0 0 0 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 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 0.194956822042 0.907213571587 6 3 3 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.292666781226 0.356124560217 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.558910372646 0.177208871218 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 19/2*c_0101_5^7 - 99/2*c_0101_5^6 + 37*c_0101_5^5 + 367/2*c_0101_5^4 - 57*c_0101_5^3 - 184*c_0101_5^2 + 37*c_0101_5 + 51/2, c_0011_0 - 1, c_0011_1 - 3/2*c_0101_5^6 - 9*c_0101_5^5 - 2*c_0101_5^4 + 47/2*c_0101_5^3 + 21/2*c_0101_5^2 - 27/2*c_0101_5 - 9/2, c_0011_4 + c_0101_5^7 + 11/2*c_0101_5^6 - 2*c_0101_5^5 - 18*c_0101_5^4 + 3/2*c_0101_5^3 + 29/2*c_0101_5^2 - 3/2*c_0101_5 - 3/2, c_0101_0 - 3/2*c_0101_5^7 - 9*c_0101_5^6 - 2*c_0101_5^5 + 47/2*c_0101_5^4 + 21/2*c_0101_5^3 - 29/2*c_0101_5^2 - 9/2*c_0101_5 + 1, c_0101_1 - 3/2*c_0101_5^7 - 8*c_0101_5^6 + 4*c_0101_5^5 + 49/2*c_0101_5^4 - 13/2*c_0101_5^3 - 39/2*c_0101_5^2 + 11/2*c_0101_5 + 3, c_0101_5^8 + 5*c_0101_5^7 - 5*c_0101_5^6 - 19*c_0101_5^5 + 8*c_0101_5^4 + 21*c_0101_5^3 - 3*c_0101_5^2 - 6*c_0101_5 - 1, c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 7168/11*c_0101_6^11 - 75199/11*c_0101_6^10 - 313068/11*c_0101_6^9 - 59907*c_0101_6^8 - 572497/11*c_0101_6^7 + 296251/11*c_0101_6^6 + 1110796/11*c_0101_6^5 + 816542/11*c_0101_6^4 + 51142/11*c_0101_6^3 - 210734/11*c_0101_6^2 - 100867/11*c_0101_6 - 14885/11, c_0011_0 - 1, c_0011_1 + 200*c_0101_6^11 + 2129*c_0101_6^10 + 9041*c_0101_6^9 + 19558*c_0101_6^8 + 18129*c_0101_6^7 - 7082*c_0101_6^6 - 33046*c_0101_6^5 - 26468*c_0101_6^4 - 2777*c_0101_6^3 + 6584*c_0101_6^2 + 3399*c_0101_6 + 520, c_0011_4 - 7*c_0101_6^11 - 71*c_0101_6^10 - 282*c_0101_6^9 - 555*c_0101_6^8 - 402*c_0101_6^7 + 365*c_0101_6^6 + 927*c_0101_6^5 + 541*c_0101_6^4 - 32*c_0101_6^3 - 162*c_0101_6^2 - 63*c_0101_6 - 7, c_0101_0 - c_0101_6^11 - 10*c_0101_6^10 - 39*c_0101_6^9 - 75*c_0101_6^8 - 51*c_0101_6^7 + 53*c_0101_6^6 + 124*c_0101_6^5 + 68*c_0101_6^4 - 5*c_0101_6^3 - 22*c_0101_6^2 - 7*c_0101_6 - 1, c_0101_1 - 88*c_0101_6^11 - 914*c_0101_6^10 - 3747*c_0101_6^9 - 7691*c_0101_6^8 - 6205*c_0101_6^7 + 4296*c_0101_6^6 + 13138*c_0101_6^5 + 8573*c_0101_6^4 - 257*c_0101_6^3 - 2461*c_0101_6^2 - 958*c_0101_6 - 113, c_0101_5 - 95*c_0101_6^11 - 1021*c_0101_6^10 - 4393*c_0101_6^9 - 9679*c_0101_6^8 - 9362*c_0101_6^7 + 2870*c_0101_6^6 + 16299*c_0101_6^5 + 13873*c_0101_6^4 + 1935*c_0101_6^3 - 3316*c_0101_6^2 - 1840*c_0101_6 - 295, c_0101_6^12 + 11*c_0101_6^11 + 49*c_0101_6^10 + 114*c_0101_6^9 + 126*c_0101_6^8 - 2*c_0101_6^7 - 177*c_0101_6^6 - 192*c_0101_6^5 - 63*c_0101_6^4 + 27*c_0101_6^3 + 29*c_0101_6^2 + 9*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB