Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 3280101136] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1256 geometric_solution 5.15492631 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 -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 0.488080119599 1.252740829258 0 4 5 5 0132 1302 2310 0132 0 0 0 0 0 1 0 -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 -1 0 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 -1.331137382143 1.222875787543 6 0 6 4 0132 0132 2310 2031 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 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 0.642715523416 0.431893902599 3 3 4 0 1230 3012 1302 0132 0 0 0 0 0 -1 0 1 1 0 0 -1 1 -1 0 0 1 -1 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 1.488080119599 1.252740829258 3 2 0 1 2031 1302 0132 2031 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 -1 0 0 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 0.729981723250 0.693047936901 5 1 1 5 3201 3201 0132 2310 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 0 -0.270018276750 0.693047936901 2 2 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487214497011 0.152167000218 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_3_0' : d['1'], 's_2_0' : negation(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_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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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' : d['c_0101_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 214/173*c_0101_6^11 + 473/173*c_0101_6^10 + 2814/173*c_0101_6^9 - 6092/173*c_0101_6^8 - 5466/173*c_0101_6^7 + 10256/173*c_0101_6^6 + 4360/173*c_0101_6^5 - 4733/173*c_0101_6^4 - 1242/173*c_0101_6^3 - 385/173*c_0101_6^2 + 1244/173*c_0101_6 - 963/173, c_0011_0 - 1, c_0011_3 - 154/173*c_0101_1*c_0101_6^11 + 2080/173*c_0101_1*c_0101_6^9 - 4522/173*c_0101_1*c_0101_6^7 + 2929/173*c_0101_1*c_0101_6^5 - 454/173*c_0101_1*c_0101_6^3 + 567/173*c_0101_1*c_0101_6, c_0011_4 + 76/173*c_0101_6^10 - 1022/173*c_0101_6^8 + 2153/173*c_0101_6^6 - 1086/173*c_0101_6^4 - 259/173*c_0101_6^2 + 19/173, c_0011_5 + 121/173*c_0101_6^11 + 78/173*c_0101_6^10 - 1659/173*c_0101_6^9 - 1058/173*c_0101_6^8 + 3899/173*c_0101_6^7 + 2369/173*c_0101_6^6 - 3154/173*c_0101_6^5 - 1843/173*c_0101_6^4 + 678/173*c_0101_6^3 + 540/173*c_0101_6^2 - 13/173*c_0101_6 - 240/173, c_0101_1^2 - 45/173*c_0101_6^11 + 42/173*c_0101_6^10 + 637/173*c_0101_6^9 - 583/173*c_0101_6^8 - 1746/173*c_0101_6^7 + 1422/173*c_0101_6^6 + 2068/173*c_0101_6^5 - 1019/173*c_0101_6^4 - 1110/173*c_0101_6^3 - 2/173*c_0101_6^2 + 205/173*c_0101_6 + 97/173, c_0101_2 - 43/173*c_0101_6^10 + 601/173*c_0101_6^8 - 1530/173*c_0101_6^6 + 1311/173*c_0101_6^4 - 138/173*c_0101_6^2 - 54/173, c_0101_6^12 - 14*c_0101_6^10 + 36*c_0101_6^8 - 33*c_0101_6^6 + 10*c_0101_6^4 - 2*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB