Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 2884253591] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0171 geometric_solution 3.95799750 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 1.793423783007 0.129759098459 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 1 -1 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 2.012953618360 1.070141534794 4 1 3 5 0132 0132 1302 0132 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.277949732570 0.481077727502 2 6 4 1 2031 0132 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 1 0 -1 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 -0.277949732570 0.481077727502 2 3 5 6 0132 3201 1230 1230 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 0.174196626848 0.299701634244 6 6 2 4 3012 3201 0132 3012 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 0 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 -0.472141498414 0.847090162325 4 3 5 5 3012 0132 2310 1230 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 -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 -0.472141498414 0.847090162325 ==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_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' : d['c_0011_5'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), '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_4'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], '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_3, c_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1742576/21327*c_0101_4^9 + 11877694/21327*c_0101_4^8 - 13551235/21327*c_0101_4^7 - 15805366/7109*c_0101_4^6 + 23024005/7109*c_0101_4^5 + 14341707/7109*c_0101_4^4 - 60853912/21327*c_0101_4^3 - 23676652/21327*c_0101_4^2 + 13083593/21327*c_0101_4 + 7971253/21327, c_0011_0 - 1, c_0011_1 + 823/21327*c_0101_4^9 - 3695/21327*c_0101_4^8 - 4771/21327*c_0101_4^7 + 7969/7109*c_0101_4^6 + 12307/7109*c_0101_4^5 - 15013/7109*c_0101_4^4 - 105052/21327*c_0101_4^3 + 40028/21327*c_0101_4^2 + 69326/21327*c_0101_4 + 2449/21327, c_0011_3 + 1705/21327*c_0101_4^9 - 5219/21327*c_0101_4^8 - 28516/21327*c_0101_4^7 + 29112/7109*c_0101_4^6 + 32588/7109*c_0101_4^5 - 76840/7109*c_0101_4^4 - 67465/21327*c_0101_4^3 + 123947/21327*c_0101_4^2 + 27347/21327*c_0101_4 - 3167/21327, c_0011_5 - 4049/21327*c_0101_4^9 + 21988/21327*c_0101_4^8 + 461/21327*c_0101_4^7 - 39085/7109*c_0101_4^6 - 1888/7109*c_0101_4^5 + 48241/7109*c_0101_4^4 + 63086/21327*c_0101_4^3 - 59950/21327*c_0101_4^2 - 25804/21327*c_0101_4 + 9097/21327, c_0101_0 + 14435/21327*c_0101_4^9 - 93469/21327*c_0101_4^8 + 83359/21327*c_0101_4^7 + 134123/7109*c_0101_4^6 - 139842/7109*c_0101_4^5 - 140973/7109*c_0101_4^4 + 302917/21327*c_0101_4^3 + 219868/21327*c_0101_4^2 - 32840/21327*c_0101_4 - 33880/21327, c_0101_3 - 1705/21327*c_0101_4^9 + 5219/21327*c_0101_4^8 + 28516/21327*c_0101_4^7 - 29112/7109*c_0101_4^6 - 32588/7109*c_0101_4^5 + 76840/7109*c_0101_4^4 + 67465/21327*c_0101_4^3 - 123947/21327*c_0101_4^2 - 27347/21327*c_0101_4 + 3167/21327, c_0101_4^10 - 7*c_0101_4^9 + 9*c_0101_4^8 + 26*c_0101_4^7 - 45*c_0101_4^6 - 18*c_0101_4^5 + 41*c_0101_4^4 + 7*c_0101_4^3 - 11*c_0101_4^2 - 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB