Magma V2.19-8 Tue Jan 14 2014 03:01:48 on localhost [Seed = 817269945] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s955 geometric_solution 6.08964964 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 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 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 0.500000000000 0.866025403784 0 5 1 1 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.500000000000 0.866025403784 2 0 2 5 2031 0132 1302 2310 0 0 0 0 0 1 -1 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 3 3 5 0 1302 2031 0132 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 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 0.500000000000 0.866025403784 5 4 0 4 2310 1302 0132 2031 0 0 0 0 0 0 -1 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 -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 0.500000000000 0.866025403784 2 1 4 3 3201 0132 3201 0132 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 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 0.500000000000 0.866025403784 ==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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE DECOMPOSITION=TYPE: Primary Decomposition of Radical IDEAL=DECOMPOSITION=TIME: 0.100 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 11200316/4821281*c_0101_5^26 - 419180899/9642562*c_0101_5^24 + 1801238230/4821281*c_0101_5^22 - 9514002053/4821281*c_0101_5^20 + 69024331759/9642562*c_0101_5^18 - 90244544654/4821281*c_0101_5^16 + 173341581522/4821281*c_0101_5^14 - 245236415260/4821281*c_0101_5^12 + 506641930815/9642562*c_0101_5^10 - 187371812541/4821281*c_0101_5^8 + 95957093160/4821281*c_0101_5^6 - 32092660140/4821281*c_0101_5^4 + 12349007481/9642562*c_0101_5^2 - 1008791923/9642562, c_0011_0 - 1, c_0011_3 - c_0101_5^2 + 1, c_0011_4 + 7626089/4821281*c_0101_5^26 - 133406264/4821281*c_0101_5^24 + 1060626581/4821281*c_0101_5^22 - 5136737496/4821281*c_0101_5^20 + 16911930854/4821281*c_0101_5^18 - 39541053724/4821281*c_0101_5^16 + 66544112897/4821281*c_0101_5^14 - 80607915590/4821281*c_0101_5^12 + 69795002210/4821281*c_0101_5^10 - 42665975979/4821281*c_0101_5^8 + 17931118566/4821281*c_0101_5^6 - 4858694983/4821281*c_0101_5^4 + 739625559/4821281*c_0101_5^2 - 35818263/4821281, c_0101_0 + 1147143/4821281*c_0101_5^27 - 19477219/4821281*c_0101_5^25 + 150805626/4821281*c_0101_5^23 - 717399715/4821281*c_0101_5^21 + 2350744210/4821281*c_0101_5^19 - 5581712849/4821281*c_0101_5^17 + 9876531020/4821281*c_0101_5^15 - 13321638434/4821281*c_0101_5^13 + 13896495246/4821281*c_0101_5^11 - 11102465663/4821281*c_0101_5^9 + 6454778470/4821281*c_0101_5^7 - 2498175690/4821281*c_0101_5^5 + 556627005/4821281*c_0101_5^3 - 40817078/4821281*c_0101_5, c_0101_1 - 6145528/4821281*c_0101_5^26 + 110928710/4821281*c_0101_5^24 - 913044160/4821281*c_0101_5^22 + 4588778961/4821281*c_0101_5^20 - 15724558655/4821281*c_0101_5^18 + 38458845948/4821281*c_0101_5^16 - 68170253506/4821281*c_0101_5^14 + 87575980510/4821281*c_0101_5^12 - 80764573546/4821281*c_0101_5^10 + 52485978817/4821281*c_0101_5^8 - 23226183832/4821281*c_0101_5^6 + 6515101679/4821281*c_0101_5^4 - 984546854/4821281*c_0101_5^2 + 45815033/4821281, c_0101_5^28 - 18*c_0101_5^26 + 148*c_0101_5^24 - 745*c_0101_5^22 + 2566*c_0101_5^20 - 6340*c_0101_5^18 + 11446*c_0101_5^16 - 15181*c_0101_5^14 + 14772*c_0101_5^12 - 10474*c_0101_5^10 + 5320*c_0101_5^8 - 1863*c_0101_5^6 + 417*c_0101_5^4 - 50*c_0101_5^2 + 2 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.100 Total time: 0.370 seconds, Total memory usage: 32.09MB