Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 273779773] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s199 geometric_solution 4.31624960 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 0 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 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 0.578979696854 0.397823162825 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 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 0 -1 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 1.247763418909 0.408334232727 1 3 3 4 0132 1230 3012 0132 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 1.065557412141 0.624628073042 4 2 2 1 0132 1230 3012 0132 0 0 0 0 0 -1 0 1 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 -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 1.065557412141 0.624628073042 3 5 2 5 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 0 1 -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 1.358660636702 0.405497970383 4 4 5 5 3201 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606868680704 0.312618525359 ==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' : negation(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' : negation(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_0101_3']), 'c_1100_4' : negation(d['c_0011_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_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], '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' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], '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_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 20819871499/3914651925*c_0110_5^9 - 218964335941/2609767950*c_0110_5^8 + 930230584094/3914651925*c_0110_5^7 + 1792814870558/1304883975*c_0110_5^6 - 51334421436503/7829303850*c_0110_5^5 + 83164379754023/7829303850*c_0110_5^4 - 3560413713143/434961325*c_0110_5^3 + 24551663370763/7829303850*c_0110_5^2 - 4860804354113/7829303850*c_0110_5 + 309984922418/3914651925, c_0011_0 - 1, c_0011_1 + 111634978/469758231*c_0110_5^9 + 207896242/52195359*c_0110_5^8 - 3157720283/469758231*c_0110_5^7 - 10721621231/156586077*c_0110_5^6 + 106272293050/469758231*c_0110_5^5 - 114702259495/469758231*c_0110_5^4 + 15711622214/156586077*c_0110_5^3 - 5568038984/469758231*c_0110_5^2 - 73460045/469758231*c_0110_5 + 564068323/469758231, c_0101_0 + 117847585/469758231*c_0110_5^9 + 653316017/156586077*c_0110_5^8 - 3598876055/469758231*c_0110_5^7 - 11235114088/156586077*c_0110_5^6 + 116577528628/469758231*c_0110_5^5 - 132676797331/469758231*c_0110_5^4 + 6721276619/52195359*c_0110_5^3 - 11307292676/469758231*c_0110_5^2 + 1191897283/469758231*c_0110_5 + 922408888/469758231, c_0101_1 + 30425033/156586077*c_0110_5^9 + 517035589/156586077*c_0110_5^8 - 733527695/156586077*c_0110_5^7 - 8818177813/156586077*c_0110_5^6 + 8968341737/52195359*c_0110_5^5 - 26848414523/156586077*c_0110_5^4 + 9982732460/156586077*c_0110_5^3 - 339509830/52195359*c_0110_5^2 - 6998635/156586077*c_0110_5 + 79828580/52195359, c_0101_3 + 75655342/469758231*c_0110_5^9 + 140494678/52195359*c_0110_5^8 - 2195123792/469758231*c_0110_5^7 - 7201435175/156586077*c_0110_5^6 + 73146507874/469758231*c_0110_5^5 - 82500350527/469758231*c_0110_5^4 + 12170329046/156586077*c_0110_5^3 - 4219303685/469758231*c_0110_5^2 - 380713208/469758231*c_0110_5 + 523375828/469758231, c_0110_5^10 + 16*c_0110_5^9 - 41*c_0110_5^8 - 266*c_0110_5^7 + 1171*c_0110_5^6 - 1761*c_0110_5^5 + 1223*c_0110_5^4 - 386*c_0110_5^3 + 41*c_0110_5^2 + 8*c_0110_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB