Magma V2.19-8 Tue Aug 20 2013 16:17:20 on localhost [Seed = 3684321043] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1564 geometric_solution 5.34914632 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 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 0.403618484677 0.652317460940 0 3 2 4 0132 0132 1230 0132 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 0 0 0 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 0.767698061342 0.982047149162 3 0 4 1 3201 0132 2310 3012 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 -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 0.767698061342 0.982047149162 3 1 3 2 2310 0132 3201 2310 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 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 -0.141542706531 0.904970914629 5 2 1 5 0132 3201 0132 1023 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774000112406 0.486126373946 4 6 6 4 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 1.321980903945 0.338916141179 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.562473301276 0.161757567910 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], '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' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 38214265823/105930668*c_0101_5*c_0101_6^10 - 119864254689/105930668*c_0101_5*c_0101_6^9 - 418715426741/52965334*c_0101_5*c_0101_6^8 - 1567431805/26482667*c_0101_5*c_0101_6^7 + 572271516569/105930668*c_0101_5*c_0101_6^6 - 1805229676377/105930668*c_0101_5*c_0101_6^5 + 1574861415631/105930668*c_0101_5*c_0101_6^4 + 524132451639/52965334*c_0101_5*c_0101_6^3 + 71171654432/26482667*c_0101_5*c_0101_6^2 + 77831180701/26482667*c_0101_5*c_0101_6 + 71934456471/105930668*c_0101_5, c_0011_0 - 1, c_0011_4 - 101456423/105930668*c_0101_5*c_0101_6^10 + 344775133/105930668*c_0101_5*c_0101_6^9 + 1061545709/52965334*c_0101_5*c_0101_6^8 - 125703242/26482667*c_0101_5*c_0101_6^7 - 1183616257/105930668*c_0101_5*c_0101_6^6 + 5008354065/105930668*c_0101_5*c_0101_6^5 - 5607369763/105930668*c_0101_5*c_0101_6^4 - 368783883/52965334*c_0101_5*c_0101_6^3 - 288137256/26482667*c_0101_5*c_0101_6^2 - 125968345/26482667*c_0101_5*c_0101_6 - 43734239/105930668*c_0101_5, c_0101_0 + 17885199/105930668*c_0101_6^10 - 72639443/105930668*c_0101_6^9 - 167670665/52965334*c_0101_6^8 + 85205761/26482667*c_0101_6^7 + 184257193/105930668*c_0101_6^6 - 1022429347/105930668*c_0101_6^5 + 1484391615/105930668*c_0101_6^4 - 119922749/26482667*c_0101_6^3 + 57567241/52965334*c_0101_6^2 - 101728795/52965334*c_0101_6 - 31135227/105930668, c_0101_1 - 1713439/52965334*c_0101_6^10 + 4484624/26482667*c_0101_6^9 + 10636239/26482667*c_0101_6^8 - 30896722/26482667*c_0101_6^7 + 79116895/52965334*c_0101_6^6 + 57934947/26482667*c_0101_6^5 - 290164949/52965334*c_0101_6^4 + 360479491/52965334*c_0101_6^3 - 187365539/52965334*c_0101_6^2 - 22087185/52965334*c_0101_6 + 5443978/26482667, c_0101_2 + 66295825/52965334*c_0101_5*c_0101_6^10 - 121800310/26482667*c_0101_5*c_0101_6^9 - 660505322/26482667*c_0101_5*c_0101_6^8 + 349647096/26482667*c_0101_5*c_0101_6^7 + 592640355/52965334*c_0101_5*c_0101_6^6 - 1749613606/26482667*c_0101_5*c_0101_6^5 + 4622579089/52965334*c_0101_5*c_0101_6^4 - 669196581/52965334*c_0101_5*c_0101_6^3 + 784984783/52965334*c_0101_5*c_0101_6^2 + 194369449/52965334*c_0101_5*c_0101_6 + 38446537/26482667*c_0101_5, c_0101_5^2 - 8524345/52965334*c_0101_6^10 + 64893741/105930668*c_0101_6^9 + 85724461/26482667*c_0101_6^8 - 66583464/26482667*c_0101_6^7 - 90371827/26482667*c_0101_6^6 + 1044205463/105930668*c_0101_6^5 - 567404221/52965334*c_0101_6^4 - 295858577/105930668*c_0101_6^3 + 411870935/105930668*c_0101_6^2 + 63128967/105930668*c_0101_6 - 5819637/105930668, c_0101_6^11 - 4*c_0101_6^10 - 19*c_0101_6^9 + 18*c_0101_6^8 + 11*c_0101_6^7 - 58*c_0101_6^6 + 84*c_0101_6^5 - 19*c_0101_6^4 - 2*c_0101_6^3 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB