Magma V2.19-8 Tue Aug 20 2013 23:40:37 on localhost [Seed = 2766323764] Type ? for help. Type -D to quit. Loading file "L11n158__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n158 geometric_solution 9.79457402 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 1 -1 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 4 -5 -1 0 0 1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.372743613230 1.125610803734 0 5 5 6 0132 0132 1302 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 1 0 -1 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 0.291396169186 0.521787755247 4 0 8 7 0213 0132 0132 0132 1 1 1 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 -1 0 1 0 0 0 0 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275794386965 0.707138924601 8 9 10 0 2310 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152424280836 0.675450485920 2 9 0 5 0213 0321 0132 0132 1 1 1 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 0 5 -5 -4 0 -1 5 0 -1 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306837383034 0.574018659389 1 1 4 10 2031 0132 0132 0132 1 1 0 1 0 -1 1 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 -5 5 0 5 0 -5 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184162298936 1.460877553308 8 10 1 7 0321 0132 0132 3120 1 1 0 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605973810819 0.715133028996 6 10 2 9 3120 2031 0132 2310 1 1 0 1 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 -1 1 0 0 0 0 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549628754199 0.422219876034 6 9 3 2 0321 0213 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.725254399494 1.640202268477 7 3 8 4 3201 0132 0213 0321 1 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 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703554374437 1.359508283025 7 6 5 3 1302 0132 0132 0132 1 1 1 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 4 0 -4 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 -0.128061880280 0.839128476149 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0101_0']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_3, c_0101_5, c_1001_2, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 40259236692113/72875573316*c_1100_0^8 - 159208379527933/16194571848*c_1100_0^7 + 3203589352300541/48583715544*c_1100_0^6 - 4078537028019955/20821592376*c_1100_0^5 + 11496423178492151/48583715544*c_1100_0^4 - 877246762087279/5025901608*c_1100_0^3 + 9863600266020695/72875573316*c_1100_0^2 - 12696224418748645/145751146632*c_1100_0 + 3503986897581631/145751146632, c_0011_0 - 1, c_0011_10 - 2009963/9886796*c_1100_0^8 + 8807534/2471699*c_1100_0^7 - 57631603/2471699*c_1100_0^6 + 325977711/4943398*c_1100_0^5 - 346945419/4943398*c_1100_0^4 + 16332847/340924*c_1100_0^3 - 394155135/9886796*c_1100_0^2 + 108651415/4943398*c_1100_0 - 42023603/9886796, c_0011_3 + 387305/9886796*c_1100_0^8 - 6431631/9886796*c_1100_0^7 + 38407313/9886796*c_1100_0^6 - 88646569/9886796*c_1100_0^5 + 41240273/9886796*c_1100_0^4 - 182998/85231*c_1100_0^3 + 16873473/9886796*c_1100_0^2 - 1268697/9886796*c_1100_0 - 1951194/2471699, c_0011_7 + 281141/4943398*c_1100_0^8 - 5008911/4943398*c_1100_0^7 + 33647095/4943398*c_1100_0^6 - 100094743/4943398*c_1100_0^5 + 120240527/4943398*c_1100_0^4 - 1436510/85231*c_1100_0^3 + 59661275/4943398*c_1100_0^2 - 41537273/4943398*c_1100_0 + 4430166/2471699, c_0011_8 - 114757/2471699*c_1100_0^8 + 4075663/4943398*c_1100_0^7 - 27189399/4943398*c_1100_0^6 + 79483629/4943398*c_1100_0^5 - 89977143/4943398*c_1100_0^4 + 1925005/170462*c_1100_0^3 - 21360610/2471699*c_1100_0^2 + 19144093/4943398*c_1100_0 - 1386665/4943398, c_0101_0 - 1, c_0101_3 + 791233/4943398*c_1100_0^8 - 27225611/9886796*c_1100_0^7 + 173091521/9886796*c_1100_0^6 - 463889703/9886796*c_1100_0^5 + 435749307/9886796*c_1100_0^4 - 11260849/340924*c_1100_0^3 + 132068521/4943398*c_1100_0^2 - 137347535/9886796*c_1100_0 + 23845909/9886796, c_0101_5 + 2999005/9886796*c_1100_0^8 - 13010385/2471699*c_1100_0^7 + 83815196/2471699*c_1100_0^6 - 460244765/4943398*c_1100_0^5 + 455347587/4943398*c_1100_0^4 - 21653421/340924*c_1100_0^3 + 518971829/9886796*c_1100_0^2 - 143426293/4943398*c_1100_0 + 45492637/9886796, c_1001_2 + 791233/4943398*c_1100_0^8 - 27225611/9886796*c_1100_0^7 + 173091521/9886796*c_1100_0^6 - 463889703/9886796*c_1100_0^5 + 435749307/9886796*c_1100_0^4 - 11260849/340924*c_1100_0^3 + 132068521/4943398*c_1100_0^2 - 127460739/9886796*c_1100_0 + 23845909/9886796, c_1001_3 + 2436723/9886796*c_1100_0^8 - 21011859/4943398*c_1100_0^7 + 133983297/4943398*c_1100_0^6 - 180075011/2471699*c_1100_0^5 + 167553530/2471699*c_1100_0^4 - 15907381/340924*c_1100_0^3 + 399649279/9886796*c_1100_0^2 - 50944510/2471699*c_1100_0 + 27771973/9886796, c_1100_0^9 - 18*c_1100_0^8 + 123*c_1100_0^7 - 379*c_1100_0^6 + 501*c_1100_0^5 - 404*c_1100_0^4 + 310*c_1100_0^3 - 208*c_1100_0^2 + 76*c_1100_0 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB