Magma V2.19-8 Tue Aug 20 2013 16:16:27 on localhost [Seed = 2328565348] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0730 geometric_solution 4.67945986 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 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 1 -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 -2.087866337506 1.221903736059 0 2 4 3 0132 2310 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 0 -2 2 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 0.356763951910 0.208792678869 5 3 0 1 0132 1023 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 -1 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 0.356763951910 0.208792678869 2 5 1 4 1023 3201 0132 3201 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 1 -2 1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763248926303 0.234409121577 5 3 6 1 3201 2310 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 -2 0 2 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 1.037445297756 1.008746150469 2 6 3 4 0132 1023 2310 2310 0 0 0 0 0 -1 1 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 -1 2 -1 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 1.037445297756 1.008746150469 5 6 6 4 1023 3201 2310 0132 0 0 0 0 0 0 0 0 1 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 0 0 0 0 1 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 1.037445297756 1.008746150469 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0110_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0110_3']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : 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_0101_0, c_0101_1, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 328966358224/10027548677*c_0110_3^15 - 1528337744552/10027548677*c_0110_3^13 - 8274166756764/10027548677*c_0110_3^11 - 6989127735097/10027548677*c_0110_3^9 + 3929436645444/10027548677*c_0110_3^7 + 3284125125244/10027548677*c_0110_3^5 + 894156306565/10027548677*c_0110_3^3 - 113691185461/10027548677*c_0110_3, c_0011_0 - 1, c_0011_2 + 18523974240/10027548677*c_0110_3^14 - 83904609104/10027548677*c_0110_3^12 - 473089917368/10027548677*c_0110_3^10 - 462602239974/10027548677*c_0110_3^8 + 114596614210/10027548677*c_0110_3^6 + 174502376576/10027548677*c_0110_3^4 + 91642099267/10027548677*c_0110_3^2 - 3976580129/10027548677, c_0101_0 + 14466186000/10027548677*c_0110_3^15 - 74828187160/10027548677*c_0110_3^13 - 328282006052/10027548677*c_0110_3^11 - 118060839537/10027548677*c_0110_3^9 + 337792396629/10027548677*c_0110_3^7 + 90652573996/10027548677*c_0110_3^5 - 8069066851/10027548677*c_0110_3^3 - 52678806852/10027548677*c_0110_3, c_0101_1 - 49159096064/10027548677*c_0110_3^15 + 230009556368/10027548677*c_0110_3^13 + 1226164397992/10027548677*c_0110_3^11 + 1019364195340/10027548677*c_0110_3^9 - 570186817793/10027548677*c_0110_3^7 - 466792853595/10027548677*c_0110_3^5 - 139763360208/10027548677*c_0110_3^3 + 66799353318/10027548677*c_0110_3, c_0101_5 + c_0110_3, c_0101_6 - 37149257200/10027548677*c_0110_3^15 + 166476398008/10027548677*c_0110_3^13 + 959662536788/10027548677*c_0110_3^11 + 959099341491/10027548677*c_0110_3^9 - 244810970356/10027548677*c_0110_3^7 - 402748509434/10027548677*c_0110_3^5 - 186295455877/10027548677*c_0110_3^3 + 14802235463/10027548677*c_0110_3, c_0110_3^16 - 9/2*c_0110_3^14 - 103/4*c_0110_3^12 - 405/16*c_0110_3^10 + 7*c_0110_3^8 + 169/16*c_0110_3^6 + 77/16*c_0110_3^4 - 7/16*c_0110_3^2 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB