Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 2715827591] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s103 geometric_solution 3.96040563 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 3201 2310 1023 0 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 1 0 -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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.269689395075 0.093558653855 0 2 2 0 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 1.433772533901 0.309898449335 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 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 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 0.246241688843 0.880941921135 2 4 4 5 0132 2310 3201 0132 0 0 0 0 0 -1 1 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 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 0.008111180025 0.585338059967 3 5 2 3 2310 1023 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008111180025 0.585338059967 4 5 3 5 1023 1302 0132 2031 0 0 0 0 0 1 0 -1 0 0 1 -1 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 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.479330804189 0.930287018791 ==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' : 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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 4511284/486455*c_0101_3^11 + 15188613/486455*c_0101_3^10 - 6989872/486455*c_0101_3^9 + 7594183/486455*c_0101_3^8 + 111628017/486455*c_0101_3^7 + 123744966/486455*c_0101_3^6 + 25822426/97291*c_0101_3^5 + 2839358/28615*c_0101_3^4 - 33627929/486455*c_0101_3^3 - 36396648/486455*c_0101_3^2 - 25368434/486455*c_0101_3 - 5185409/486455, c_0011_0 - 1, c_0011_4 + 160580/97291*c_0101_3^11 - 607205/97291*c_0101_3^10 + 471761/97291*c_0101_3^9 - 359089/97291*c_0101_3^8 - 3902752/97291*c_0101_3^7 - 2719352/97291*c_0101_3^6 - 2786930/97291*c_0101_3^5 - 1042/5723*c_0101_3^4 + 1764971/97291*c_0101_3^3 + 447011/97291*c_0101_3^2 + 234293/97291*c_0101_3 - 182880/97291, c_0101_0 - 253088/97291*c_0101_3^11 + 993663/97291*c_0101_3^10 - 882361/97291*c_0101_3^9 + 681488/97291*c_0101_3^8 + 6032545/97291*c_0101_3^7 + 3465731/97291*c_0101_3^6 + 3673721/97291*c_0101_3^5 - 40328/5723*c_0101_3^4 - 2701016/97291*c_0101_3^3 - 614636/97291*c_0101_3^2 - 272421/97291*c_0101_3 + 333142/97291, c_0101_1 - 435968/97291*c_0101_3^11 + 1702883/97291*c_0101_3^10 - 1489566/97291*c_0101_3^9 + 1153249/97291*c_0101_3^8 + 10428336/97291*c_0101_3^7 + 6146659/97291*c_0101_3^6 + 6623649/97291*c_0101_3^5 - 53658/5723*c_0101_3^4 - 4547530/97291*c_0101_3^3 - 958636/97291*c_0101_3^2 - 459639/97291*c_0101_3 + 567435/97291, c_0101_2 - 182880/97291*c_0101_3^11 + 709220/97291*c_0101_3^10 - 607205/97291*c_0101_3^9 + 471761/97291*c_0101_3^8 + 4395791/97291*c_0101_3^7 + 2680928/97291*c_0101_3^6 + 2949928/97291*c_0101_3^5 - 13330/5723*c_0101_3^4 - 1846514/97291*c_0101_3^3 - 246709/97291*c_0101_3^2 - 187218/97291*c_0101_3 + 234293/97291, c_0101_3^12 - 3*c_0101_3^11 - 26*c_0101_3^8 - 36*c_0101_3^7 - 31*c_0101_3^6 - 14*c_0101_3^5 + 10*c_0101_3^4 + 11*c_0101_3^3 + 4*c_0101_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB