Magma V2.19-8 Tue Aug 20 2013 16:16:14 on localhost [Seed = 21011906] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0495 geometric_solution 4.51135819 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 1.733566802223 0.276095317433 0 2 2 0 3201 0132 1023 0132 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 -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 1.186197968048 0.892927366307 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 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 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 0.250638057526 0.210708653544 2 4 5 4 0132 2310 0132 3201 0 0 0 0 0 1 0 -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 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.228158956494 1.535649486801 5 3 2 3 0132 2310 0132 3201 0 0 0 0 0 0 1 -1 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 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 -0.228158956494 1.535649486801 4 6 6 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359761779944 0.202562944427 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.507907053045 1.169829455087 ==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_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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], '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_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 3*c_0101_3 - 5, c_0011_0 - 1, c_0011_1 + c_0101_3, c_0011_4 + c_0101_3, c_0101_0 + c_0101_3, c_0101_2 - 1, c_0101_3^2 - c_0101_3 - 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_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 128461644062364/3944187179881*c_0101_6^9 - 2589709342015389/3944187179881*c_0101_6^8 - 29393449602623742/3944187179881*c_0101_6^7 - 113308207447295142/3944187179881*c_0101_6^6 - 210514602090276456/3944187179881*c_0101_6^5 - 187827791913823077/3944187179881*c_0101_6^4 - 4246563304742892/303399013837*c_0101_6^3 + 13116852252469080/3944187179881*c_0101_6^2 + 3686867690604107/3944187179881*c_0101_6 + 2150598478655010/3944187179881, c_0011_0 - 1, c_0011_1 + 71676225/4273225547*c_0101_6^9 - 1363015655/4273225547*c_0101_6^8 - 18293060670/4273225547*c_0101_6^7 - 76416397126/4273225547*c_0101_6^6 - 150172850186/4273225547*c_0101_6^5 - 149345219385/4273225547*c_0101_6^4 - 76290418641/4273225547*c_0101_6^3 - 28579608017/4273225547*c_0101_6^2 - 7852061676/4273225547*c_0101_6 + 2191634316/4273225547, c_0011_4 + 263162301/4273225547*c_0101_6^9 - 5452643028/4273225547*c_0101_6^8 - 56808565244/4273225547*c_0101_6^7 - 208074857963/4273225547*c_0101_6^6 - 379140531969/4273225547*c_0101_6^5 - 349303274903/4273225547*c_0101_6^4 - 127212084940/4273225547*c_0101_6^3 + 9993666464/4273225547*c_0101_6^2 + 6601506753/4273225547*c_0101_6 + 2513398788/4273225547, c_0101_0 - 870021056/4273225547*c_0101_6^9 + 17567739448/4273225547*c_0101_6^8 + 198373990202/4273225547*c_0101_6^7 + 763355840277/4273225547*c_0101_6^6 + 1425323178242/4273225547*c_0101_6^5 + 1306242317600/4273225547*c_0101_6^4 + 445560683614/4273225547*c_0101_6^3 - 44423971673/4273225547*c_0101_6^2 - 20574323210/4273225547*c_0101_6 - 6560901631/4273225547, c_0101_2 - 364698427/4273225547*c_0101_6^9 + 7424447560/4273225547*c_0101_6^8 + 81882536692/4273225547*c_0101_6^7 + 307350059246/4273225547*c_0101_6^6 + 556319307801/4273225547*c_0101_6^5 + 487806566775/4273225547*c_0101_6^4 + 156492414878/4273225547*c_0101_6^3 - 10794087564/4273225547*c_0101_6^2 - 3598258270/4273225547*c_0101_6 - 2236190996/4273225547, c_0101_3 - 123412936/4273225547*c_0101_6^9 + 2872129227/4273225547*c_0101_6^8 + 19937152377/4273225547*c_0101_6^7 + 33052528228/4273225547*c_0101_6^6 - 29142057504/4273225547*c_0101_6^5 - 130624154214/4273225547*c_0101_6^4 - 103939968508/4273225547*c_0101_6^3 - 10600974283/4273225547*c_0101_6^2 + 2375694718/4273225547*c_0101_6 - 424168008/4273225547, c_0101_6^10 - 20*c_0101_6^9 - 232*c_0101_6^8 - 919*c_0101_6^7 - 1785*c_0101_6^6 - 1746*c_0101_6^5 - 708*c_0101_6^4 - 14*c_0101_6^3 + 20*c_0101_6^2 + 15*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB