Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1124261783] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1222 geometric_solution 5.11852154 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 1 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 0 0 0 -1.715030526436 1.170056495768 0 0 3 3 0132 3201 3201 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 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 0.397885505275 0.271452031228 0 0 4 4 3201 0132 3201 0132 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 -1 0 1 0 0 1 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397885505275 0.271452031228 1 5 1 6 2310 0132 0132 0132 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 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 1.042452703837 0.634587445470 2 5 2 6 2310 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -1 1 -1 0 1 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 1.042452703837 0.634587445470 5 3 4 5 3012 0132 2310 1230 0 0 0 0 0 0 -1 1 -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 -1 1 -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 1.088543934534 0.937396203774 6 6 3 4 1230 3012 0132 1023 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 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 1.088543934534 0.937396203774 ==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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), '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' : negation(d['c_0011_3']), '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' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 704728711168/23779517*c_0101_5^16 - 10170655571968/118897585*c_0101_5^14 + 15676529348608/118897585*c_0101_5^12 - 15175686207232/118897585*c_0101_5^10 + 10103659551936/118897585*c_0101_5^8 - 907873776464/23779517*c_0101_5^6 + 1412082423096/118897585*c_0101_5^4 - 263506084087/118897585*c_0101_5^2 + 27103096612/118897585, c_0011_0 - 1, c_0011_3 - 8637710336/23779517*c_0101_5^16 + 23847157760/23779517*c_0101_5^14 - 35446171648/23779517*c_0101_5^12 + 32670715392/23779517*c_0101_5^10 - 20417974912/23779517*c_0101_5^8 + 8267228608/23779517*c_0101_5^6 - 2251976808/23779517*c_0101_5^4 + 336212702/23779517*c_0101_5^2 - 31631947/23779517, c_0011_6 - 22139584512/23779517*c_0101_5^16 + 60624568320/23779517*c_0101_5^14 - 87677243392/23779517*c_0101_5^12 + 78383497472/23779517*c_0101_5^10 - 47041422272/23779517*c_0101_5^8 + 18224881904/23779517*c_0101_5^6 - 4744688344/23779517*c_0101_5^4 + 698686483/23779517*c_0101_5^2 - 42024997/23779517, c_0101_0 - 10048684032/23779517*c_0101_5^16 + 34681069568/23779517*c_0101_5^14 - 57743448064/23779517*c_0101_5^12 + 59574943488/23779517*c_0101_5^10 - 40618520896/23779517*c_0101_5^8 + 18375125040/23779517*c_0101_5^6 - 5216188480/23779517*c_0101_5^4 + 914957065/23779517*c_0101_5^2 - 56088763/23779517, c_0101_1 + 12865421312/118897585*c_0101_5^17 - 17001988096/118897585*c_0101_5^15 + 1492856832/118897585*c_0101_5^13 + 5460731136/23779517*c_0101_5^11 - 39009824832/118897585*c_0101_5^9 + 30402469296/118897585*c_0101_5^7 - 13512937304/118897585*c_0101_5^5 + 3939313841/118897585*c_0101_5^3 - 583757294/118897585*c_0101_5, c_0101_4 + 10048684032/23779517*c_0101_5^16 - 34681069568/23779517*c_0101_5^14 + 57743448064/23779517*c_0101_5^12 - 59574943488/23779517*c_0101_5^10 + 40618520896/23779517*c_0101_5^8 - 18375125040/23779517*c_0101_5^6 + 5216188480/23779517*c_0101_5^4 - 914957065/23779517*c_0101_5^2 + 56088763/23779517, c_0101_5^18 - 3*c_0101_5^16 + 19/4*c_0101_5^14 - 305/64*c_0101_5^12 + 849/256*c_0101_5^10 - 1643/1024*c_0101_5^8 + 1139/2048*c_0101_5^6 - 2153/16384*c_0101_5^4 + 327/16384*c_0101_5^2 - 25/16384 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB