Magma V2.19-8 Tue Aug 20 2013 16:18:42 on localhost [Seed = 3650634966] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2861 geometric_solution 6.08444991 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125243955186 0.372282629683 0 4 0 4 0132 0132 2310 2310 0 0 0 0 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 1 -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 -0.166998109990 1.837269370941 5 3 5 0 0132 3012 2031 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931161876600 1.295707047850 2 5 0 6 1230 3201 0132 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 -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 -0.482429150490 1.450873984727 1 1 6 6 3201 0132 0213 3120 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 -1 1 -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 -0.106780603178 0.740380830629 2 6 3 2 0132 1302 2310 1302 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388012484907 0.845285329068 4 4 3 5 3120 0213 0132 2031 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 1 -1 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339978568908 1.034608136162 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1010_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : negation(d['c_1010_5']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0110_4'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0011_6']})} 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_2, c_0011_3, c_0011_6, c_0101_1, c_0110_4, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 440829565482303/168353678889344*c_1010_5^9 + 1077941686938057/168353678889344*c_1010_5^8 - 3199006094499627/168353678889344*c_1010_5^7 - 2479290286199053/84176839444672*c_1010_5^6 + 11339739163819023/168353678889344*c_1010_5^5 + 5986077339312439/84176839444672*c_1010_5^4 - 2136465719326451/42088419722336*c_1010_5^3 - 206424024355834/1315263116323*c_1010_5^2 + 2245786918929981/10522104930584*c_1010_5 - 24215925080543/1315263116323, c_0011_0 - 1, c_0011_2 - 280614933/9870642524*c_1010_5^9 - 1538807727/19741285048*c_1010_5^8 + 4848169093/19741285048*c_1010_5^7 + 7690503441/19741285048*c_1010_5^6 - 4813593255/4935321262*c_1010_5^5 - 16014923903/19741285048*c_1010_5^4 + 1308075960/2467660631*c_1010_5^3 + 27736149633/9870642524*c_1010_5^2 - 7026854305/2467660631*c_1010_5 + 344944533/2467660631, c_0011_3 + 596912535/19741285048*c_1010_5^9 + 5838233379/78965140192*c_1010_5^8 - 13460229815/78965140192*c_1010_5^7 - 25056879383/78965140192*c_1010_5^6 + 18872086087/39482570096*c_1010_5^5 + 64703174599/78965140192*c_1010_5^4 - 1915679915/39482570096*c_1010_5^3 - 17455689547/19741285048*c_1010_5^2 + 4211395019/4935321262*c_1010_5 - 510363077/4935321262, c_0011_6 + 1820898963/78965140192*c_1010_5^9 + 6088860219/78965140192*c_1010_5^8 - 12821799085/78965140192*c_1010_5^7 - 904058999/2467660631*c_1010_5^6 + 55411255167/78965140192*c_1010_5^5 + 12620834257/19741285048*c_1010_5^4 - 4992858449/9870642524*c_1010_5^3 - 3227121707/2467660631*c_1010_5^2 + 6525070947/2467660631*c_1010_5 - 1292962357/2467660631, c_0101_1 + 318164967/9870642524*c_1010_5^9 + 4016362263/39482570096*c_1010_5^8 - 8324682215/39482570096*c_1010_5^7 - 23052430211/39482570096*c_1010_5^6 + 13390471771/19741285048*c_1010_5^5 + 61551127959/39482570096*c_1010_5^4 - 1474678257/19741285048*c_1010_5^3 - 13446859209/4935321262*c_1010_5^2 + 8150300333/4935321262*c_1010_5 + 1059277621/2467660631, c_0110_4 + 229857219/78965140192*c_1010_5^9 - 154931721/78965140192*c_1010_5^8 - 2318085925/78965140192*c_1010_5^7 + 621602321/9870642524*c_1010_5^6 + 11774203723/78965140192*c_1010_5^5 - 737449923/4935321262*c_1010_5^4 - 8806256455/19741285048*c_1010_5^3 + 8987895/2467660631*c_1010_5^2 + 3702917538/2467660631*c_1010_5 - 1690849945/2467660631, c_1010_5^10 + 7/3*c_1010_5^9 - 67/9*c_1010_5^8 - 92/9*c_1010_5^7 + 79/3*c_1010_5^6 + 208/9*c_1010_5^5 - 184/9*c_1010_5^4 - 496/9*c_1010_5^3 + 784/9*c_1010_5^2 - 64/3*c_1010_5 + 64/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB