Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 2968595596] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0172 geometric_solution 3.96582612 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.366597377897 0.399735806114 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.542157830455 0.032074134552 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.761512908428 0.479939937365 2 2 4 4 2310 0132 0132 3201 0 0 0 0 0 -1 0 1 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 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 0.194685092001 0.307611969460 5 3 6 3 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 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 1.448490658324 0.901019866807 4 6 6 6 0132 1230 0213 2310 0 0 0 0 0 0 0 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 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 0.524799307063 0.847441952387 5 5 5 4 3201 0213 3012 0132 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 1 0 0 -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 0.524799307063 0.847441952387 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], '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_4']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 8*c_0101_4^2 - 5*c_0101_4 + 17, c_0011_0 - 1, c_0011_2 + c_0101_4, c_0011_4 - c_0101_4^2 + 1, c_0011_6 + 1, c_0101_0 + c_0101_4, c_0101_1 + c_0101_4^2 - 1, c_0101_4^3 + c_0101_4^2 - 2*c_0101_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 6464075248124281/106498498815527*c_0101_4^11 - 35207052007388553/106498498815527*c_0101_4^10 + 482640195127798914/106498498815527*c_0101_4^9 - 1093462225711516814/106498498815527*c_0101_4^8 + 2831427502481634633/106498498815527*c_0101_4^7 - 3544916469867373236/106498498815527*c_0101_4^6 + 1952150672256662523/106498498815527*c_0101_4^5 - 255817197485153910/15214071259361*c_0101_4^4 + 671625174371373485/106498498815527*c_0101_4^3 + 53061061458875593/8192192216579*c_0101_4^2 - 103769958107209503/106498498815527*c_0101_4 - 42721817339981785/106498498815527, c_0011_0 - 1, c_0011_2 + 25650452999286/15214071259361*c_0101_4^11 + 140252759148013/15214071259361*c_0101_4^10 - 1907282999128254/15214071259361*c_0101_4^9 + 4328715120429145/15214071259361*c_0101_4^8 - 11488119434669854/15214071259361*c_0101_4^7 + 14425377411336434/15214071259361*c_0101_4^6 - 9302825567042476/15214071259361*c_0101_4^5 + 8533311538881817/15214071259361*c_0101_4^4 - 3532404236263379/15214071259361*c_0101_4^3 - 119830722988565/1170313173797*c_0101_4^2 + 336817592661461/15214071259361*c_0101_4 + 79527410443938/15214071259361, c_0011_4 + 10178287929363/15214071259361*c_0101_4^11 + 54399238648891/15214071259361*c_0101_4^10 - 764899908639553/15214071259361*c_0101_4^9 + 1803277571597447/15214071259361*c_0101_4^8 - 4685742732920410/15214071259361*c_0101_4^7 + 6147092695367961/15214071259361*c_0101_4^6 - 3956767503306068/15214071259361*c_0101_4^5 + 3499315985217264/15214071259361*c_0101_4^4 - 1627798934386004/15214071259361*c_0101_4^3 - 55265909361520/1170313173797*c_0101_4^2 + 163503746237941/15214071259361*c_0101_4 + 38446717908448/15214071259361, c_0011_6 + 5052453309117/15214071259361*c_0101_4^11 + 26970276762609/15214071259361*c_0101_4^10 - 380330418698703/15214071259361*c_0101_4^9 + 894740951338326/15214071259361*c_0101_4^8 - 2300120418955184/15214071259361*c_0101_4^7 + 3014943646583579/15214071259361*c_0101_4^6 - 1815364752483474/15214071259361*c_0101_4^5 + 1614623710170383/15214071259361*c_0101_4^4 - 724048812764354/15214071259361*c_0101_4^3 - 36949910249244/1170313173797*c_0101_4^2 + 78435701285923/15214071259361*c_0101_4 + 22505635389322/15214071259361, c_0101_0 - 17087578345228/15214071259361*c_0101_4^11 - 93247543496280/15214071259361*c_0101_4^10 + 1269739933449887/15214071259361*c_0101_4^9 - 2908892424912563/15214071259361*c_0101_4^8 + 7812504492844947/15214071259361*c_0101_4^7 - 9908377396999908/15214071259361*c_0101_4^6 + 6982324776381571/15214071259361*c_0101_4^5 - 6302682694057939/15214071259361*c_0101_4^4 + 2762083667382691/15214071259361*c_0101_4^3 + 44973355142138/1170313173797*c_0101_4^2 - 256712085427836/15214071259361*c_0101_4 - 21927365121804/15214071259361, c_0101_1 - 16761565556598/15214071259361*c_0101_4^11 - 85889627160032/15214071259361*c_0101_4^10 + 1281915158325193/15214071259361*c_0101_4^9 - 3230657656782442/15214071259361*c_0101_4^8 + 8200505757691762/15214071259361*c_0101_4^7 - 11587433223097044/15214071259361*c_0101_4^6 + 7907280557377751/15214071259361*c_0101_4^5 - 6745768261884128/15214071259361*c_0101_4^4 + 3688746627959325/15214071259361*c_0101_4^3 + 81020873914275/1170313173797*c_0101_4^2 - 342094902110372/15214071259361*c_0101_4 - 48681847283818/15214071259361, c_0101_4^12 + 5*c_0101_4^11 - 77*c_0101_4^10 + 203*c_0101_4^9 - 521*c_0101_4^8 + 763*c_0101_4^7 - 596*c_0101_4^6 + 482*c_0101_4^5 - 281*c_0101_4^4 - 15*c_0101_4^3 + 38*c_0101_4^2 - 2*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB