Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 3734979087] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1417 geometric_solution 5.25294205 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.856852800621 0.857483466916 0 1 1 0 0132 3201 2310 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 -0.682940506940 0.150074294957 0 3 4 0 3201 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759073594495 0.496015814934 5 2 4 6 0132 0132 1302 0132 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 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 0.494075773235 0.527515260760 3 6 5 2 2031 1023 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 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 0.494075773235 0.527515260760 3 5 5 4 0132 3201 2310 0132 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 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 0.045253940750 1.065964033040 4 6 3 6 1023 1302 0132 2031 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 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531031285720 0.478260604963 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 268632041/3076364*c_0110_6^11 + 161725533/1538182*c_0110_6^10 + 589735865/1538182*c_0110_6^9 - 523625265/3076364*c_0110_6^8 + 1506199963/1538182*c_0110_6^7 - 1365377601/3076364*c_0110_6^6 + 646280017/769091*c_0110_6^5 + 873336039/769091*c_0110_6^4 - 2398234233/1538182*c_0110_6^3 + 814981483/3076364*c_0110_6^2 - 1665389369/3076364*c_0110_6 - 146029889/3076364, c_0011_0 - 1, c_0011_2 + 59110/769091*c_0110_6^11 + 115743/1538182*c_0110_6^10 + 497915/1538182*c_0110_6^9 - 240543/1538182*c_0110_6^8 + 762411/769091*c_0110_6^7 - 244875/769091*c_0110_6^6 + 1363415/1538182*c_0110_6^5 + 2692525/1538182*c_0110_6^4 - 2414629/1538182*c_0110_6^3 + 1691285/1538182*c_0110_6^2 + 130436/769091*c_0110_6 - 774661/1538182, c_0011_4 - 890549/1538182*c_0101_5*c_0110_6^11 - 1339271/1538182*c_0101_5*c_0110_6^10 - 4138615/1538182*c_0101_5*c_0110_6^9 + 349069/769091*c_0101_5*c_0110_6^8 - 4540155/769091*c_0101_5*c_0110_6^7 + 1402497/1538182*c_0101_5*c_0110_6^6 - 6456969/1538182*c_0101_5*c_0110_6^5 - 14273297/1538182*c_0101_5*c_0110_6^4 + 12465273/1538182*c_0101_5*c_0110_6^3 + 2260873/769091*c_0101_5*c_0110_6^2 + 2643339/1538182*c_0101_5*c_0110_6 + 1237037/769091*c_0101_5, c_0101_0 - 392463/1538182*c_0110_6^11 - 324395/1538182*c_0110_6^10 - 1585597/1538182*c_0110_6^9 + 635755/769091*c_0110_6^8 - 2496919/769091*c_0110_6^7 + 3368249/1538182*c_0110_6^6 - 4668987/1538182*c_0110_6^5 - 4024463/1538182*c_0110_6^4 + 9019971/1538182*c_0110_6^3 - 2563166/769091*c_0110_6^2 + 2663613/1538182*c_0110_6 + 267485/769091, c_0101_1 + 364951/3076364*c_0110_6^11 + 100185/1538182*c_0110_6^10 + 684313/1538182*c_0110_6^9 - 1636547/3076364*c_0110_6^8 + 2355871/1538182*c_0110_6^7 - 4664427/3076364*c_0110_6^6 + 1113263/769091*c_0110_6^5 + 744693/769091*c_0110_6^4 - 5652145/1538182*c_0110_6^3 + 5910901/3076364*c_0110_6^2 - 4083575/3076364*c_0110_6 - 537447/3076364, c_0101_5^2 + 186473/63065462*c_0110_6^11 - 3408579/63065462*c_0110_6^10 - 7681809/63065462*c_0110_6^9 - 12551409/31532731*c_0110_6^8 - 3742404/31532731*c_0110_6^7 - 33684353/63065462*c_0110_6^6 + 7323651/63065462*c_0110_6^5 - 60772945/63065462*c_0110_6^4 - 76841321/63065462*c_0110_6^3 + 35055158/31532731*c_0110_6^2 + 11278189/63065462*c_0110_6 - 5251445/31532731, c_0110_6^12 + c_0110_6^11 + 4*c_0110_6^10 - 3*c_0110_6^9 + 11*c_0110_6^8 - 7*c_0110_6^7 + 9*c_0110_6^6 + 12*c_0110_6^5 - 22*c_0110_6^4 + 5*c_0110_6^3 - 4*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB