Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 3600239156] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0534 geometric_solution 4.55346814 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 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 -1 1 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 0.717040941738 0.115772023879 0 2 0 2 0132 0132 1023 1023 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 1 -1 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 0.559954695539 0.377100924407 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 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 1 -1 -1 0 0 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.445694718682 1.928625655220 2 4 4 5 0132 3201 2310 0132 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 1 -1 0 1 0 -1 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 -0.098041525937 0.647395838930 5 3 3 2 0132 3201 2310 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 1 0 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.098041525937 0.647395838930 4 6 3 6 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.040089516813 1.179162250297 6 5 6 5 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420599778118 0.317113113018 ==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_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_4']), '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_3'], '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' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 4254362400954418/31056364145023*c_0110_6^13 + 60452838704974091/31056364145023*c_0110_6^12 + 280645630553879508/31056364145023*c_0110_6^11 + 223993556585622710/31056364145023*c_0110_6^10 - 1377820450589397477/31056364145023*c_0110_6^9 - 1553147140912552775/31056364145023*c_0110_6^8 + 2903913366616029895/31056364145023*c_0110_6^7 + 2205061481987217079/31056364145023*c_0110_6^6 - 467030780653827242/4436623449289*c_0110_6^5 - 164394721828249088/31056364145023*c_0110_6^4 + 234798260628970716/4436623449289*c_0110_6^3 - 1001955764438851070/31056364145023*c_0110_6^2 + 254875441903824645/31056364145023*c_0110_6 - 18855840225530440/31056364145023, c_0011_0 - 1, c_0011_4 - 5877337304472/4436623449289*c_0110_6^13 - 84644433989552/4436623449289*c_0110_6^12 - 404422206484898/4436623449289*c_0110_6^11 - 393753960390256/4436623449289*c_0110_6^10 + 1794657473891573/4436623449289*c_0110_6^9 + 2448735970051916/4436623449289*c_0110_6^8 - 3417775590862586/4436623449289*c_0110_6^7 - 3467700301116426/4436623449289*c_0110_6^6 + 3663389131582510/4436623449289*c_0110_6^5 + 587903312328998/4436623449289*c_0110_6^4 - 1979202160789112/4436623449289*c_0110_6^3 + 1115351392075685/4436623449289*c_0110_6^2 - 265013019376933/4436623449289*c_0110_6 + 22014823989334/4436623449289, c_0101_0 + 11601724773545/4436623449289*c_0110_6^13 + 165749173738735/4436623449289*c_0110_6^12 + 778585618280744/4436623449289*c_0110_6^11 + 678182853025099/4436623449289*c_0110_6^10 - 3667582660724111/4436623449289*c_0110_6^9 - 4468283447210200/4436623449289*c_0110_6^8 + 7443573496538917/4436623449289*c_0110_6^7 + 6322076543007216/4436623449289*c_0110_6^6 - 8250022881665311/4436623449289*c_0110_6^5 - 715662638083616/4436623449289*c_0110_6^4 + 4269917861018254/4436623449289*c_0110_6^3 - 2512056827118711/4436623449289*c_0110_6^2 + 622453763714511/4436623449289*c_0110_6 - 51454141835492/4436623449289, c_0101_1 + 36865196567/4436623449289*c_0110_6^13 + 971389208441/4436623449289*c_0110_6^12 + 8758254147787/4436623449289*c_0110_6^11 + 30916245580056/4436623449289*c_0110_6^10 + 8287236344738/4436623449289*c_0110_6^9 - 166047040966112/4436623449289*c_0110_6^8 - 135757416705403/4436623449289*c_0110_6^7 + 355365670607301/4436623449289*c_0110_6^6 + 221601305302487/4436623449289*c_0110_6^5 - 383722404625864/4436623449289*c_0110_6^4 - 29265690900135/4436623449289*c_0110_6^3 + 183841407287973/4436623449289*c_0110_6^2 - 102476127447732/4436623449289*c_0110_6 + 18704149482333/4436623449289, c_0101_2 - 9361899019481/4436623449289*c_0110_6^13 - 134794328444947/4436623449289*c_0110_6^12 - 643675291105823/4436623449289*c_0110_6^11 - 624445808583253/4436623449289*c_0110_6^10 + 2862656443171253/4436623449289*c_0110_6^9 + 3889244856380263/4436623449289*c_0110_6^8 - 5477831759127179/4436623449289*c_0110_6^7 - 5523813171096933/4436623449289*c_0110_6^6 + 5910782180101928/4436623449289*c_0110_6^5 + 973735292412319/4436623449289*c_0110_6^4 - 3223060940573526/4436623449289*c_0110_6^3 + 1751259851398578/4436623449289*c_0110_6^2 - 390134635128690/4436623449289*c_0110_6 + 27125066764774/4436623449289, c_0101_3 - 22033514248/4436623449289*c_0110_6^13 - 126900879320/4436623449289*c_0110_6^12 + 1211726389682/4436623449289*c_0110_6^11 + 11466464318727/4436623449289*c_0110_6^10 + 19191163993183/4436623449289*c_0110_6^9 - 46495298814575/4436623449289*c_0110_6^8 - 83340492024157/4436623449289*c_0110_6^7 + 94226191962127/4436623449289*c_0110_6^6 + 102839090317410/4436623449289*c_0110_6^5 - 117629945785305/4436623449289*c_0110_6^4 - 10460612931143/4436623449289*c_0110_6^3 + 72454708118525/4436623449289*c_0110_6^2 - 33891510114665/4436623449289*c_0110_6 + 6469448483857/4436623449289, c_0110_6^14 + 14*c_0110_6^13 + 63*c_0110_6^12 + 39*c_0110_6^11 - 334*c_0110_6^10 - 296*c_0110_6^9 + 756*c_0110_6^8 + 369*c_0110_6^7 - 873*c_0110_6^6 + 131*c_0110_6^5 + 391*c_0110_6^4 - 319*c_0110_6^3 + 112*c_0110_6^2 - 18*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB