Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 3616950947] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2916 geometric_solution 6.11649474 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.710378919190 0.953208836274 3 4 3 0 0132 0132 0213 0132 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 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 0.501460601447 0.370648932043 4 3 0 4 2310 3201 0132 2103 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 0 0 0 0 0 0 0 0 0 0 1.154760815912 0.900507682235 1 1 2 5 0132 0213 2310 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 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 0.731352907256 0.565775119252 5 1 2 2 1302 0132 3201 2103 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 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 0.817251009390 0.715567014146 6 4 3 6 0132 2031 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565187496421 0.382622562883 5 6 6 5 0132 3201 2310 1023 0 0 0 0 0 -1 1 0 0 0 1 -1 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1.155329424407 0.626681675391 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_1']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(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_0110_4']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_1']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_1001_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_2, c_0101_0, c_0101_6, c_0110_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 6686098097366815868/1217146270649713*c_1001_1^11 - 55965990130698593721/1217146270649713*c_1001_1^10 - 47482614758079083694/1217146270649713*c_1001_1^9 - 799888487035027083754/1217146270649713*c_1001_1^8 + 1682710319776738089361/1217146270649713*c_1001_1^7 + 2916447618612356081535/1217146270649713*c_1001_1^6 - 3191107667976497189469/1217146270649713*c_1001_1^5 + 2021375571525014281761/1217146270649713*c_1001_1^4 + 373002461153922464260/1217146270649713*c_1001_1^3 - 3274308287094825863/9291192905723*c_1001_1^2 - 5284330116468260133/1217146270649713*c_1001_1 + 18000172150209661273/1217146270649713, c_0011_0 - 1, c_0011_1 - 105127669134619/13675800793817*c_1001_1^11 - 879267857640898/13675800793817*c_1001_1^10 - 740469515861127/13675800793817*c_1001_1^9 - 12569852412496373/13675800793817*c_1001_1^8 + 26544905493198765/13675800793817*c_1001_1^7 + 45707994129001790/13675800793817*c_1001_1^6 - 50519397837941324/13675800793817*c_1001_1^5 + 31987465556762756/13675800793817*c_1001_1^4 + 5687284163390716/13675800793817*c_1001_1^3 - 52009457299764/104395425907*c_1001_1^2 - 97818505158603/13675800793817*c_1001_1 + 286766598574228/13675800793817, c_0011_2 + 72929533518338/13675800793817*c_1001_1^11 + 612009974615676/13675800793817*c_1001_1^10 + 530984838440962/13675800793817*c_1001_1^9 + 8736465745025987/13675800793817*c_1001_1^8 - 18167806049022505/13675800793817*c_1001_1^7 - 32194800141689956/13675800793817*c_1001_1^6 + 34119276246594356/13675800793817*c_1001_1^5 - 21340032344840004/13675800793817*c_1001_1^4 - 4535084391946563/13675800793817*c_1001_1^3 + 34990534581445/104395425907*c_1001_1^2 + 146588641141693/13675800793817*c_1001_1 - 193911166507488/13675800793817, c_0101_0 + 82286047627793/13675800793817*c_1001_1^11 + 688736695823187/13675800793817*c_1001_1^10 + 583961087185459/13675800793817*c_1001_1^9 + 9843260769734052/13675800793817*c_1001_1^8 - 20714510295484996/13675800793817*c_1001_1^7 - 35893442657549330/13675800793817*c_1001_1^6 + 39309942387113929/13675800793817*c_1001_1^5 - 24857698127823835/13675800793817*c_1001_1^4 - 4612990569293898/13675800793817*c_1001_1^3 + 40599339799429/104395425907*c_1001_1^2 + 67110584540342/13675800793817*c_1001_1 - 230820691855221/13675800793817, c_0101_6 - 196501755628894/13675800793817*c_1001_1^11 - 1643299869055880/13675800793817*c_1001_1^10 - 1381432249403249/13675800793817*c_1001_1^9 - 23486051991767477/13675800793817*c_1001_1^8 + 49647537814834871/13675800793817*c_1001_1^7 + 85496117067107164/13675800793817*c_1001_1^6 - 94759014200696610/13675800793817*c_1001_1^5 + 59500750708741112/13675800793817*c_1001_1^4 + 11018297426400515/13675800793817*c_1001_1^3 - 99810944915755/104395425907*c_1001_1^2 - 157264731122290/13675800793817*c_1001_1 + 572177330650978/13675800793817, c_0110_4 + 110859754096765/13675800793817*c_1001_1^11 + 928003400190797/13675800793817*c_1001_1^10 + 787671410565900/13675800793817*c_1001_1^9 + 13262596642139595/13675800793817*c_1001_1^8 - 27894480440385018/13675800793817*c_1001_1^7 - 48376138329172956/13675800793817*c_1001_1^6 + 52903156597557827/13675800793817*c_1001_1^5 - 33476836396797326/13675800793817*c_1001_1^4 - 6228240888183333/13675800793817*c_1001_1^3 + 54522758975486/104395425907*c_1001_1^2 + 91988018587868/13675800793817*c_1001_1 - 290074424579742/13675800793817, c_1001_1^12 + 8*c_1001_1^11 + 4*c_1001_1^10 + 117*c_1001_1^9 - 296*c_1001_1^8 - 343*c_1001_1^7 + 639*c_1001_1^6 - 479*c_1001_1^5 + 56*c_1001_1^4 + 85*c_1001_1^3 - 23*c_1001_1^2 - 3*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB