Magma V2.19-8 Tue Aug 20 2013 16:18:56 on localhost [Seed = 762097732] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3093 geometric_solution 6.25865905 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553546882609 0.374392640858 3 2 4 0 0132 3012 0132 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 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 0.760486534116 0.838347634954 1 3 0 4 1230 3201 0132 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 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 0.760486534116 0.838347634954 1 5 2 6 0132 0132 2310 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.745274192501 0.899327716857 2 6 5 1 3201 3120 3120 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 0 0 0 0 0 -1 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 0.338106606198 0.740950716241 6 3 4 6 3012 0132 3120 1230 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 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 0.512614794579 0.574778294366 5 4 3 5 3012 3120 0132 1230 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 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 0.512614794579 0.574778294366 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_2'], '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_2'], 'c_1001_5' : negation(d['c_1001_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_1, c_0101_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 19256837835335/13036195435088*c_1001_4^7 + 236515644356441/26072390870176*c_1001_4^6 - 2759162609713901/26072390870176*c_1001_4^5 + 1117694711994801/6518097717544*c_1001_4^4 - 3976104844677487/26072390870176*c_1001_4^3 + 967066047051675/26072390870176*c_1001_4^2 + 671355652199453/26072390870176*c_1001_4 - 126242730111991/13036195435088, c_0011_0 - 1, c_0011_1 + 19949337365/1862313633584*c_1001_4^7 - 29035026907/1862313633584*c_1001_4^6 + 458045270543/931156816792*c_1001_4^5 + 4032849591585/1862313633584*c_1001_4^4 - 4591706411897/1862313633584*c_1001_4^3 + 4028098379779/1862313633584*c_1001_4^2 + 40579162043/931156816792*c_1001_4 - 11613326040/116394602099, c_0011_2 + 19949337365/1862313633584*c_1001_4^7 - 29035026907/1862313633584*c_1001_4^6 + 458045270543/931156816792*c_1001_4^5 + 4032849591585/1862313633584*c_1001_4^4 - 4591706411897/1862313633584*c_1001_4^3 + 4028098379779/1862313633584*c_1001_4^2 + 40579162043/931156816792*c_1001_4 - 11613326040/116394602099, c_0011_4 + 6867332520/116394602099*c_1001_4^7 - 38321873441/116394602099*c_1001_4^6 + 469713523477/116394602099*c_1001_4^5 - 528572118926/116394602099*c_1001_4^4 + 354996571969/116394602099*c_1001_4^3 + 138049532002/116394602099*c_1001_4^2 - 39688880724/116394602099*c_1001_4 - 26566767591/116394602099, c_0101_1 - 16472189025/931156816792*c_1001_4^7 + 97866342135/931156816792*c_1001_4^6 - 597894511391/465578408396*c_1001_4^5 + 1863485355387/931156816792*c_1001_4^4 - 3707680465611/931156816792*c_1001_4^3 + 1939926187505/931156816792*c_1001_4^2 - 331303171935/465578408396*c_1001_4 - 82818526103/116394602099, c_0101_2 + 27005731885/931156816792*c_1001_4^7 - 175670136003/931156816792*c_1001_4^6 + 992732097851/465578408396*c_1001_4^5 - 3773173370375/931156816792*c_1001_4^4 + 3192924317863/931156816792*c_1001_4^3 - 112772498197/931156816792*c_1001_4^2 - 1062838862045/465578408396*c_1001_4 + 27142568708/116394602099, c_1001_4^8 - 29/5*c_1001_4^7 + 348/5*c_1001_4^6 - 459/5*c_1001_4^5 + 333/5*c_1001_4^4 + 77/5*c_1001_4^3 - 136/5*c_1001_4^2 + 4*c_1001_4 + 32/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB