Magma V2.19-8 Tue Aug 20 2013 16:19:20 on localhost [Seed = 1511769948] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3445 geometric_solution 6.61515556 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 1 -1 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 -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 0.810783268797 0.710242946646 0 2 2 4 0132 2031 1230 0132 0 0 0 0 0 1 -1 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 -1 1 0 0 0 1 -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 0.886302534795 0.902503696847 1 0 4 1 1302 0132 2310 3012 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 1 0 -1 1 0 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 0.886302534795 0.902503696847 5 0 6 0 0132 2310 0132 0132 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 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 0.780070347108 0.517156630206 5 2 1 6 2103 3201 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992683891220 0.542752285406 3 6 4 6 0132 0213 2103 1230 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534627443475 0.977123831734 5 4 5 3 3012 0321 0213 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 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 0.534627443475 0.977123831734 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_1001_2']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_6, c_0101_0, c_0101_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 60250764537/1009668128*c_1001_2^13 + 492189918883/1009668128*c_1001_2^12 - 305746314777/252417032*c_1001_2^11 - 36604482197/144238304*c_1001_2^10 + 5451277233009/1009668128*c_1001_2^9 - 2595887992361/504834064*c_1001_2^8 - 4243822426591/504834064*c_1001_2^7 + 1106502782039/63104258*c_1001_2^6 - 5194607472135/1009668128*c_1001_2^5 - 11015310944231/1009668128*c_1001_2^4 + 6581725602079/504834064*c_1001_2^3 - 583564230379/72119152*c_1001_2^2 + 2660392964959/1009668128*c_1001_2 + 515849060597/1009668128, c_0011_0 - 1, c_0011_3 - 295312/643921*c_1001_2^13 + 1762988/643921*c_1001_2^12 - 2082293/643921*c_1001_2^11 - 6011814/643921*c_1001_2^10 + 13498725/643921*c_1001_2^9 + 5462524/643921*c_1001_2^8 - 30834527/643921*c_1001_2^7 + 16033644/643921*c_1001_2^6 + 14760533/643921*c_1001_2^5 - 19813050/643921*c_1001_2^4 + 13299551/643921*c_1001_2^3 - 6974268/643921*c_1001_2^2 - 554991/643921*c_1001_2 - 1120919/643921, c_0011_4 + 256687/643921*c_1001_2^13 - 1545509/643921*c_1001_2^12 + 1836572/643921*c_1001_2^11 + 5302097/643921*c_1001_2^10 - 11799437/643921*c_1001_2^9 - 5088519/643921*c_1001_2^8 + 26618886/643921*c_1001_2^7 - 13070901/643921*c_1001_2^6 - 11602854/643921*c_1001_2^5 + 15990706/643921*c_1001_2^4 - 12969300/643921*c_1001_2^3 + 6813338/643921*c_1001_2^2 + 216137/643921*c_1001_2 + 953811/643921, c_0011_6 - 213231/643921*c_1001_2^13 + 1214456/643921*c_1001_2^12 - 1185118/643921*c_1001_2^11 - 4547991/643921*c_1001_2^10 + 8316661/643921*c_1001_2^9 + 5743938/643921*c_1001_2^8 - 19498278/643921*c_1001_2^7 + 6978912/643921*c_1001_2^6 + 9611378/643921*c_1001_2^5 - 11449954/643921*c_1001_2^4 + 8823174/643921*c_1001_2^3 - 3749931/643921*c_1001_2^2 - 265332/643921*c_1001_2 - 666409/643921, c_0101_0 + c_1001_2, c_0101_1 - 251300/643921*c_1001_2^13 + 1494972/643921*c_1001_2^12 - 1668716/643921*c_1001_2^11 - 5486922/643921*c_1001_2^10 + 11513859/643921*c_1001_2^9 + 6282271/643921*c_1001_2^8 - 27562207/643921*c_1001_2^7 + 10596242/643921*c_1001_2^6 + 16556604/643921*c_1001_2^5 - 16473593/643921*c_1001_2^4 + 8966306/643921*c_1001_2^3 - 3926966/643921*c_1001_2^2 - 1251048/643921*c_1001_2 - 842998/643921, c_1001_2^14 - 8*c_1001_2^13 + 19*c_1001_2^12 + 7*c_1001_2^11 - 88*c_1001_2^10 + 71*c_1001_2^9 + 148*c_1001_2^8 - 262*c_1001_2^7 + 47*c_1001_2^6 + 172*c_1001_2^5 - 177*c_1001_2^4 + 112*c_1001_2^3 - 41*c_1001_2^2 - 2*c_1001_2 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB