Magma V2.19-8 Tue Aug 20 2013 23:48:52 on localhost [Seed = 2985810734] Type ? for help. Type -D to quit. Loading file "L12n1098__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1098 geometric_solution 11.57741084 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 0 1 0 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 0.356981386987 0.684988716418 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614410344443 1.254168685681 3 0 8 7 0213 0132 0132 0132 1 0 0 1 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 1 -1 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 0.401685699122 1.148066985878 2 9 5 0 0213 0132 1302 0132 1 0 0 1 0 0 0 0 1 0 -1 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 -1 0 2 -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 0.939693457493 1.048826363010 10 5 0 8 0132 1302 0132 3120 1 0 1 1 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 0 -1 1 -1 0 1 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 0.821270327165 0.970350569871 3 1 11 4 2031 0132 0132 2031 1 1 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 0.190972636357 0.777558314978 11 10 1 8 0213 3120 0132 0132 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 -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 0 0 0.223969283115 0.728482357836 10 9 2 1 3120 0213 0132 0132 1 0 1 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 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223969283115 0.728482357836 4 9 6 2 3120 0321 0132 0132 1 0 1 1 0 0 0 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 -1 1 0 0 0 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 0.183590313706 0.996739728225 11 3 7 8 2103 0132 0213 0321 1 1 1 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 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642532836209 0.617539989243 4 6 11 7 0132 3120 2310 3120 0 0 1 1 0 0 1 -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 -2 2 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 0.684988716418 0.643018613013 6 10 9 5 0213 3201 2103 0132 1 1 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 0 0 0 0 0 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.006833330609 1.136850908331 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_5']), 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0011_3'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : 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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0110_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : d['1'], 's_1_9' : 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' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], '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_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1100_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_1, c_0101_5, c_0110_5, c_1001_0, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1895830967815048619/132615725947756*c_1100_1^9 - 1069578871001097249703/338965795522464336*c_1100_1^8 + 499074208764223579897/169482897761232168*c_1100_1^7 + 4369640670042264911891/169482897761232168*c_1100_1^6 - 843215217259585838633/42370724440308042*c_1100_1^5 + 7055984622019644451661/338965795522464336*c_1100_1^4 - 136233306455274007949/4707858271145338*c_1100_1^3 + 654697746444797622361/21185362220154021*c_1100_1^2 - 157482873681417864305/5844237853835592*c_1100_1 + 3130272258195606489775/338965795522464336, c_0011_0 - 1, c_0011_10 + 755588566861/36878677961*c_1100_1^9 + 158933544903/73757355922*c_1100_1^8 - 241218624109/36878677961*c_1100_1^7 - 2764235317661/73757355922*c_1100_1^6 + 1220380651678/36878677961*c_1100_1^5 - 1097320814156/36878677961*c_1100_1^4 + 1600190966524/36878677961*c_1100_1^3 - 3505054035543/73757355922*c_1100_1^2 + 1533585072904/36878677961*c_1100_1 - 1082725834563/73757355922, c_0011_11 - 1, c_0011_3 + 3533121665935/73757355922*c_1100_1^9 + 303330149010/36878677961*c_1100_1^8 - 835724870271/73757355922*c_1100_1^7 - 6348505159789/73757355922*c_1100_1^6 + 2615083509454/36878677961*c_1100_1^5 - 2648721570969/36878677961*c_1100_1^4 + 7280692487695/73757355922*c_1100_1^3 - 3947876616326/36878677961*c_1100_1^2 + 6909985934997/73757355922*c_1100_1 - 2442840197413/73757355922, c_0011_6 + 529372948917/73757355922*c_1100_1^9 + 238119398491/36878677961*c_1100_1^8 + 81329378449/36878677961*c_1100_1^7 - 413403333264/36878677961*c_1100_1^6 + 111129900392/36878677961*c_1100_1^5 - 261675915455/36878677961*c_1100_1^4 + 570417954039/73757355922*c_1100_1^3 - 368089531509/36878677961*c_1100_1^2 + 182042228571/36878677961*c_1100_1 + 40519873973/36878677961, c_0011_8 + 687492650822/36878677961*c_1100_1^9 + 268794198911/36878677961*c_1100_1^8 - 26987330242/36878677961*c_1100_1^7 - 2440971112087/73757355922*c_1100_1^6 + 732682446710/36878677961*c_1100_1^5 - 998376005829/36878677961*c_1100_1^4 + 1325371143257/36878677961*c_1100_1^3 - 1310081369490/36878677961*c_1100_1^2 + 1176252229370/36878677961*c_1100_1 - 821898909005/73757355922, c_0101_1 - 2065172599633/36878677961*c_1100_1^9 - 577888944005/36878677961*c_1100_1^8 + 276282313439/36878677961*c_1100_1^7 + 3601180753763/36878677961*c_1100_1^6 - 2760234672210/36878677961*c_1100_1^5 + 2980775333459/36878677961*c_1100_1^4 - 4017828095696/36878677961*c_1100_1^3 + 4335954441749/36878677961*c_1100_1^2 - 3747779040191/36878677961*c_1100_1 + 1267038882274/36878677961, c_0101_5 - 1702677439903/36878677961*c_1100_1^9 - 371130456521/73757355922*c_1100_1^8 + 552463816815/36878677961*c_1100_1^7 + 6339122899649/73757355922*c_1100_1^6 - 2666204983863/36878677961*c_1100_1^5 + 2494365051685/36878677961*c_1100_1^4 - 3644112685587/36878677961*c_1100_1^3 + 7781987185713/73757355922*c_1100_1^2 - 3431872930577/36878677961*c_1100_1 + 2491993757193/73757355922, c_0110_5 - 1304503583965/36878677961*c_1100_1^9 - 561254594191/73757355922*c_1100_1^8 + 284747061377/36878677961*c_1100_1^7 + 4731979831199/73757355922*c_1100_1^6 - 1817904764025/36878677961*c_1100_1^5 + 1905894683885/36878677961*c_1100_1^4 - 2607826815929/36878677961*c_1100_1^3 + 5679910508427/73757355922*c_1100_1^2 - 2445812809482/36878677961*c_1100_1 + 1640402590467/73757355922, c_1001_0 + 2964859483454/36878677961*c_1100_1^9 + 597718416749/36878677961*c_1100_1^8 - 671335994392/36878677961*c_1100_1^7 - 5402363032375/36878677961*c_1100_1^6 + 4160648631269/36878677961*c_1100_1^5 - 4360606718496/36878677961*c_1100_1^4 + 6077788883339/36878677961*c_1100_1^3 - 6442253881244/36878677961*c_1100_1^2 + 5653506443264/36878677961*c_1100_1 - 1963040550155/36878677961, c_1001_10 + 5297932979915/73757355922*c_1100_1^9 + 1136973042653/73757355922*c_1100_1^8 - 1171022645459/73757355922*c_1100_1^7 - 9654346604607/73757355922*c_1100_1^6 + 3697334649615/36878677961*c_1100_1^5 - 3802093728039/36878677961*c_1100_1^4 + 10874833863125/73757355922*c_1100_1^3 - 11466887884297/73757355922*c_1100_1^2 + 9962720073753/73757355922*c_1100_1 - 3487119141761/73757355922, c_1100_1^10 - 32/71*c_1100_1^9 - 25/71*c_1100_1^8 - 118/71*c_1100_1^7 + 185/71*c_1100_1^6 - 170/71*c_1100_1^5 + 3*c_1100_1^4 - 250/71*c_1100_1^3 + 237/71*c_1100_1^2 - 136/71*c_1100_1 + 31/71 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB