Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 3330759401] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s194 geometric_solution 4.30791720 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.473448445019 0.089454475712 2 0 3 0 0132 2310 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 0 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487192689583 0.295866840711 1 4 3 5 0132 0132 3012 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.207668827994 1.524305460787 4 2 5 1 2031 1230 2103 0132 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 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.207668827994 1.524305460787 5 2 3 5 3012 0132 1302 0321 0 0 0 0 0 1 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 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 1.149040842517 1.174275454589 3 4 2 4 2103 0321 0132 1230 0 0 0 0 0 1 0 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.106371430622 0.838088123629 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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' : 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' : d['1'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 729355161/44115620*c_0101_1^8 + 675374343/4411562*c_0101_1^7 - 3087579493/4411562*c_0101_1^6 + 12504506067/22057810*c_0101_1^5 - 367701389/44115620*c_0101_1^4 - 62536714093/44115620*c_0101_1^3 - 11520459341/22057810*c_0101_1^2 - 4903991373/22057810*c_0101_1 - 2886860601/44115620, c_0011_0 - 1, c_0011_1 + 33035/2205781*c_0101_1^8 - 336507/2205781*c_0101_1^7 + 1675287/2205781*c_0101_1^6 - 2417530/2205781*c_0101_1^5 + 1270691/2205781*c_0101_1^4 + 748776/2205781*c_0101_1^3 + 850605/2205781*c_0101_1^2 - 801280/2205781*c_0101_1 - 1330394/2205781, c_0011_3 - 2832907/8823124*c_0101_1^8 + 6530046/2205781*c_0101_1^7 - 29732792/2205781*c_0101_1^6 + 23213089/2205781*c_0101_1^5 - 198937/8823124*c_0101_1^4 - 236860459/8823124*c_0101_1^3 - 27662331/2205781*c_0101_1^2 - 11133868/2205781*c_0101_1 - 5309261/8823124, c_0011_5 + 2832907/8823124*c_0101_1^8 - 6530046/2205781*c_0101_1^7 + 29732792/2205781*c_0101_1^6 - 23213089/2205781*c_0101_1^5 + 198937/8823124*c_0101_1^4 + 236860459/8823124*c_0101_1^3 + 27662331/2205781*c_0101_1^2 + 11133868/2205781*c_0101_1 + 5309261/8823124, c_0101_0 + 499559/4411562*c_0101_1^8 - 2037790/2205781*c_0101_1^7 + 8039607/2205781*c_0101_1^6 + 2947096/2205781*c_0101_1^5 - 17255739/4411562*c_0101_1^4 + 40883345/4411562*c_0101_1^3 + 32936400/2205781*c_0101_1^2 + 10743405/2205781*c_0101_1 + 6313011/4411562, c_0101_1^9 - 9*c_0101_1^8 + 40*c_0101_1^7 - 24*c_0101_1^6 - 5*c_0101_1^5 + 82*c_0101_1^4 + 55*c_0101_1^3 + 28*c_0101_1^2 + 7*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB