Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 2564359243] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1369 geometric_solution 5.22882748 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 1 -1 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508281444743 0.795747397466 0 3 2 4 0132 0132 1230 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 -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 0 0 0 0.949662129272 0.961327996238 3 0 4 1 2310 0132 0132 3012 0 0 0 0 0 1 -1 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 -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 0.949662129272 0.961327996238 3 1 2 3 3201 0132 3201 2310 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 -0.209078846693 0.732308858067 5 5 1 2 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 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 0.421282640313 1.082614607094 4 6 6 4 0132 0132 3201 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 -0.452770540951 0.355444549425 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.575553830168 0.340433383029 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : d['1'], 's_0_5' : 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' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_3'], '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_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], '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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 1306344739449/133132266217*c_0101_3*c_0101_6^11 + 5911872925189/133132266217*c_0101_3*c_0101_6^10 + 16236090536525/133132266217*c_0101_3*c_0101_6^9 + 36819479464647/133132266217*c_0101_3*c_0101_6^8 + 28141775804989/133132266217*c_0101_3*c_0101_6^7 + 17724578523135/133132266217*c_0101_3*c_0101_6^6 + 24037949797990/133132266217*c_0101_3*c_0101_6^5 + 8279419446193/133132266217*c_0101_3*c_0101_6^4 + 22290872701112/133132266217*c_0101_3*c_0101_6^3 - 2197008596890/133132266217*c_0101_3*c_0101_6^2 - 3406569334844/133132266217*c_0101_3*c_0101_6 - 4378203379537/133132266217*c_0101_3, c_0011_0 - 1, c_0011_4 - 118799525961/133132266217*c_0101_3*c_0101_6^11 - 544682335188/133132266217*c_0101_3*c_0101_6^10 - 1539482694283/133132266217*c_0101_3*c_0101_6^9 - 3574319868177/133132266217*c_0101_3*c_0101_6^8 - 3135397586957/133132266217*c_0101_3*c_0101_6^7 - 2619815714310/133132266217*c_0101_3*c_0101_6^6 - 2922059973543/133132266217*c_0101_3*c_0101_6^5 - 1344151707985/133132266217*c_0101_3*c_0101_6^4 - 2775680808983/133132266217*c_0101_3*c_0101_6^3 - 340934130444/133132266217*c_0101_3*c_0101_6^2 - 321987821899/133132266217*c_0101_3*c_0101_6 + 262661580283/133132266217*c_0101_3, c_0101_0 - 99267691905/133132266217*c_0101_6^11 - 463733929683/133132266217*c_0101_6^10 - 1308324334666/133132266217*c_0101_6^9 - 3029693044574/133132266217*c_0101_6^8 - 2699787823867/133132266217*c_0101_6^7 - 2017241755274/133132266217*c_0101_6^6 - 2455926547768/133132266217*c_0101_6^5 - 1110725859020/133132266217*c_0101_6^4 - 2140071308745/133132266217*c_0101_6^3 - 439386929326/133132266217*c_0101_6^2 + 56367539464/133132266217*c_0101_6 + 82539740538/133132266217, c_0101_1 + 43714300086/133132266217*c_0101_6^11 + 197157744792/133132266217*c_0101_6^10 + 523718108552/133132266217*c_0101_6^9 + 1156022605154/133132266217*c_0101_6^8 + 748171739165/133132266217*c_0101_6^7 + 191452735378/133132266217*c_0101_6^6 + 601931192406/133132266217*c_0101_6^5 + 102007052992/133132266217*c_0101_6^4 + 396716305083/133132266217*c_0101_6^3 - 156502994465/133132266217*c_0101_6^2 - 259684688582/133132266217*c_0101_6 - 95417658898/133132266217, c_0101_2 + 73854489033/133132266217*c_0101_3*c_0101_6^11 + 329848475085/133132266217*c_0101_3*c_0101_6^10 + 927847928068/133132266217*c_0101_3*c_0101_6^9 + 2157955416886/133132266217*c_0101_3*c_0101_6^8 + 1816575385806/133132266217*c_0101_3*c_0101_6^7 + 1693844039466/133132266217*c_0101_3*c_0101_6^6 + 1833181112789/133132266217*c_0101_3*c_0101_6^5 + 726901834180/133132266217*c_0101_3*c_0101_6^4 + 1886205000152/133132266217*c_0101_3*c_0101_6^3 - 53840037123/133132266217*c_0101_3*c_0101_6^2 + 274695666223/133132266217*c_0101_3*c_0101_6 - 236829419134/133132266217*c_0101_3, c_0101_3^2 - 40280557605/266264532434*c_0101_6^11 - 89823606322/133132266217*c_0101_6^10 - 512204103659/266264532434*c_0101_6^9 - 605948408337/133132266217*c_0101_6^8 - 1089813625297/266264532434*c_0101_6^7 - 578546434264/133132266217*c_0101_6^6 - 609396856647/133132266217*c_0101_6^5 - 439827440995/266264532434*c_0101_6^4 - 1149014995111/266264532434*c_0101_6^3 - 67829884279/133132266217*c_0101_6^2 - 95894626793/133132266217*c_0101_6 - 62524343935/266264532434, c_0101_6^12 + 13/3*c_0101_6^11 + 35/3*c_0101_6^10 + 79/3*c_0101_6^9 + 53/3*c_0101_6^8 + 13*c_0101_6^7 + 58/3*c_0101_6^6 + 5*c_0101_6^5 + 56/3*c_0101_6^4 - 3*c_0101_6^3 - 5/3*c_0101_6 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB