Magma V2.19-8 Tue Aug 20 2013 17:55:37 on localhost [Seed = 1343350659] Type ? for help. Type -D to quit. Loading file "9_7__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_7 geometric_solution 8.01486146 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 1 3 0132 0132 3120 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 1 -1 0 0 1 -1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206938565592 0.681444967073 0 4 0 5 0132 0132 3120 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 -1 1 0 0 -1 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 0.206938565592 0.681444967073 6 0 3 4 0132 0132 0132 2103 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 10 -10 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.717737218789 0.798629826465 7 8 0 2 0132 0132 0132 0132 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 0 0 0 -1 1 0 9 0 1 -10 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239430404272 0.486362685325 7 1 5 2 3120 0132 3012 2103 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 0 0 0 0 0 0 -9 0 -1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.196295940681 1.997932978361 8 4 1 8 2031 1230 0132 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 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 0.658793391977 0.746814037101 2 7 8 7 0132 3120 2103 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412492925860 0.668360180404 3 6 6 4 0132 3120 0132 3120 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 0 0 0 0 0 0 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440759635533 1.665869927879 6 3 5 5 2103 0132 1302 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 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 0.335719611710 0.753034144829 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_8' : d['c_0110_5'], 's_2_8' : d['1'], 's_2_0' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_0101_0'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_1']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0110_5'], 'c_1010_8' : d['c_0110_5'], 's_3_1' : d['1'], 's_3_0' : negation(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_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_5']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 604722899817/44788677101*c_1001_0^13 - 18792501611301/44788677101*c_1001_0^12 + 94691654724720/44788677101*c_1001_0^11 - 189236802186049/44788677101*c_1001_0^10 + 146093358159159/44788677101*c_1001_0^9 + 35727020376125/44788677101*c_1001_0^8 - 113544339764789/44788677101*c_1001_0^7 + 16678402762017/44788677101*c_1001_0^6 + 54889938195780/44788677101*c_1001_0^5 - 23000696883649/44788677101*c_1001_0^4 - 8136400144203/44788677101*c_1001_0^3 + 1808470247162/44788677101*c_1001_0^2 + 2370328010769/44788677101*c_1001_0 - 533361703384/44788677101, c_0011_0 - 1, c_0011_3 + 25334506767/278190541*c_1001_0^13 - 176549807623/278190541*c_1001_0^12 + 488811632798/278190541*c_1001_0^11 - 645827546127/278190541*c_1001_0^10 + 299445593555/278190541*c_1001_0^9 + 216803945498/278190541*c_1001_0^8 - 278248125462/278190541*c_1001_0^7 - 16670671570/278190541*c_1001_0^6 + 146056647636/278190541*c_1001_0^5 - 50769374309/278190541*c_1001_0^4 - 13094544421/278190541*c_1001_0^3 + 3197316690/278190541*c_1001_0^2 + 5308371304/278190541*c_1001_0 - 1497416786/278190541, c_0011_5 - 9273040820/278190541*c_1001_0^13 + 63324108539/278190541*c_1001_0^12 - 169978911520/278190541*c_1001_0^11 + 212254843714/278190541*c_1001_0^10 - 79351448374/278190541*c_1001_0^9 - 90842821413/278190541*c_1001_0^8 + 88555839691/278190541*c_1001_0^7 + 21759559607/278190541*c_1001_0^6 - 55674927855/278190541*c_1001_0^5 + 13523046603/278190541*c_1001_0^4 + 7772653982/278190541*c_1001_0^3 - 1354125312/278190541*c_1001_0^2 - 2220164960/278190541*c_1001_0 + 637778988/278190541, c_0101_0 - 2543445469/278190541*c_1001_0^13 + 21968125644/278190541*c_1001_0^12 - 76891982831/278190541*c_1001_0^11 + 135355970257/278190541*c_1001_0^10 - 109867456704/278190541*c_1001_0^9 - 3411458954/278190541*c_1001_0^8 + 72545571733/278190541*c_1001_0^7 - 30408078749/278190541*c_1001_0^6 - 26478082251/278190541*c_1001_0^5 + 23197315032/278190541*c_1001_0^4 - 257311177/278190541*c_1001_0^3 - 2616206992/278190541*c_1001_0^2 - 896258248/278190541*c_1001_0 + 719664490/278190541, c_0101_1 + 3578824496/278190541*c_1001_0^13 - 23347186978/278190541*c_1001_0^12 + 60047110066/278190541*c_1001_0^11 - 73376388888/278190541*c_1001_0^10 + 31122022577/278190541*c_1001_0^9 + 22528399346/278190541*c_1001_0^8 - 27498692978/278190541*c_1001_0^7 - 890640554/278190541*c_1001_0^6 + 14641806079/278190541*c_1001_0^5 - 6530009633/278190541*c_1001_0^4 - 692391779/278190541*c_1001_0^3 + 618564626/278190541*c_1001_0^2 + 989421657/278190541*c_1001_0 - 385427567/278190541, c_0101_2 - 2037503494/278190541*c_1001_0^13 + 11756070222/278190541*c_1001_0^12 - 24051578514/278190541*c_1001_0^11 + 14911571108/278190541*c_1001_0^10 + 17613135368/278190541*c_1001_0^9 - 32194392837/278190541*c_1001_0^8 + 8999286298/278190541*c_1001_0^7 + 14951960936/278190541*c_1001_0^6 - 11012669332/278190541*c_1001_0^5 - 3274681323/278190541*c_1001_0^4 + 4814217217/278190541*c_1001_0^3 - 272741455/278190541*c_1001_0^2 - 1111229219/278190541*c_1001_0 - 4092471/278190541, c_0101_4 + 23247980613/278190541*c_1001_0^13 - 160329805421/278190541*c_1001_0^12 + 437805800262/278190541*c_1001_0^11 - 566626126514/278190541*c_1001_0^10 + 248392337885/278190541*c_1001_0^9 + 199381880904/278190541*c_1001_0^8 - 232288530432/278190541*c_1001_0^7 - 32688603247/278190541*c_1001_0^6 + 132846662949/278190541*c_1001_0^5 - 38538683530/278190541*c_1001_0^4 - 15258577164/278190541*c_1001_0^3 + 2085441505/278190541*c_1001_0^2 + 5788961012/278190541*c_1001_0 - 1593686214/278190541, c_0110_5 - 4400584490/278190541*c_1001_0^13 + 37044468062/278190541*c_1001_0^12 - 126144667416/278190541*c_1001_0^11 + 213898651965/278190541*c_1001_0^10 - 159518116169/278190541*c_1001_0^9 - 26221280191/278190541*c_1001_0^8 + 119614061415/278190541*c_1001_0^7 - 33414733204/278190541*c_1001_0^6 - 54615909284/278190541*c_1001_0^5 + 36283307086/278190541*c_1001_0^4 + 3910029210/278190541*c_1001_0^3 - 5380166275/278190541*c_1001_0^2 - 1835371012/278190541*c_1001_0 + 1344620724/278190541, c_1001_0^14 - 143/19*c_1001_0^13 + 442/19*c_1001_0^12 - 699/19*c_1001_0^11 + 520/19*c_1001_0^10 + 10/19*c_1001_0^9 - 294/19*c_1001_0^8 + 117/19*c_1001_0^7 + 111/19*c_1001_0^6 - 106/19*c_1001_0^5 + 16/19*c_1001_0^4 + 9/19*c_1001_0^3 + 2/19*c_1001_0^2 - 4/19*c_1001_0 + 1/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB