Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 880126190] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1702 geometric_solution 5.41494038 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.279992511530 0.163562540736 2 0 3 0 0132 2310 0132 0132 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 0 1 -1 -1 0 1 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.057178426841 1.391975800217 1 4 5 3 0132 0132 0132 1230 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 1 0 -1 1 0 0 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992504488884 1.252695380109 2 5 4 1 3012 1023 3201 0132 0 0 0 0 0 1 0 -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 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992504488884 1.252695380109 3 2 4 4 2310 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 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 0.389853450131 0.484734284680 3 6 6 2 1023 0132 1023 0132 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -1 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 0.776350295139 0.491160793210 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 -1 1 -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 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 1.577740785523 0.503662331431 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 33146852171396358010275790852/1011490353836960933461583421*c_0101_6\ ^23 - 344435465288131450430817674192/144498621976708704780226203*c_\ 0101_6^21 + 6738153340735470566442999827071/14449862197670870478022\ 6203*c_0101_6^19 - 258576319736927317638352747052156/10114903538369\ 60933461583421*c_0101_6^17 + 784796201774919463785159359497583/1011\ 490353836960933461583421*c_0101_6^15 - 1752854007788344337133661074147772/1011490353836960933461583421*c_0\ 101_6^13 + 2089466996064281166916642986084815/101149035383696093346\ 1583421*c_0101_6^11 - 1385050976025483361616225713123736/1011490353\ 836960933461583421*c_0101_6^9 + 4026911021143443929917766724937/864\ 5216699461204559500713*c_0101_6^7 - 89903497330752776869266676490642/1011490353836960933461583421*c_010\ 1_6^5 + 14615161550623661221912039191412/10114903538369609334615834\ 21*c_0101_6^3 - 1712922497524932944823753311000/1011490353836960933\ 461583421*c_0101_6, c_0011_0 - 1, c_0011_1 + 2395070797751595880655822/5985150022703910848885109*c_0101_6\ ^22 - 24856753497933590596752355/855021431814844406983587*c_0101_6^\ 20 + 484636099315044703181333186/855021431814844406983587*c_0101_6^\ 18 - 18380663162636255181030029521/5985150022703910848885109*c_0101\ _6^16 + 55108875958830510133552824550/5985150022703910848885109*c_0\ 101_6^14 - 121997999534355785876694172499/5985150022703910848885109\ *c_0101_6^12 + 140866946354843388888890637355/598515002270391084888\ 5109*c_0101_6^10 - 89288041343502135642090036256/598515002270391084\ 8885109*c_0101_6^8 + 3096350895331974537778196065/66501666918932342\ 7653901*c_0101_6^6 - 4923982152287717272008022582/59851500227039108\ 48885109*c_0101_6^4 + 787974988382710181858481071/59851500227039108\ 48885109*c_0101_6^2 - 89091380124015864729060694/598515002270391084\ 8885109, c_0011_3 + 2088267305728805856899744/1995050007567970282961703*c_0101_6\ ^22 - 21677807611232932437167185/285007143938281468994529*c_0101_6^\ 20 + 422927667033124420031801039/285007143938281468994529*c_0101_6^\ 18 - 16076295728802872495969427067/1995050007567970282961703*c_0101\ _6^16 + 48308699634791165767296558835/1995050007567970282961703*c_0\ 101_6^14 - 107111648628308170177812330734/1995050007567970282961703\ *c_0101_6^12 + 124413402063001397371397724097/199505000756797028296\ 1703*c_0101_6^10 - 79453713069306399842795011444/199505000756797028\ 2961703*c_0101_6^8 + 8389235100695955482126488538/66501666918932342\ 7653901*c_0101_6^6 - 4480548517575899715613992568/19950500075679702\ 82961703*c_0101_6^4 + 712490557835403328312944947/19950500075679702\ 82961703*c_0101_6^2 - 79513383526477493373639634/199505000756797028\ 2961703, c_0101_0 + 17874105781906475770195763/5985150022703910848885109*c_0101_\ 6^23 - 185581212370761537700238053/855021431814844406983587*c_0101_\ 6^21 + 3622454652950432440987903049/855021431814844406983587*c_0101\ _6^19 - 137939372416532996604388576867/5985150022703910848885109*c_\ 0101_6^17 + 415273321475547540644934400468/598515002270391084888510\ 9*c_0101_6^15 - 922004413633249148598448549250/59851500227039108488\ 85109*c_0101_6^13 + 1076160222644008199661243552274/598515002270391\ 0848885109*c_0101_6^11 - 692063364023261482381761466999/59851500227\ 03910848885109*c_0101_6^9 + 24663511604146066323947814080/665016669\ 189323427653901*c_0101_6^7 - 39776868253325743036149246523/59851500\ 22703910848885109*c_0101_6^5 + 6273194978401573304598494936/5985150\ 022703910848885109*c_0101_6^3 - 710778939508252036896984625/5985150\ 022703910848885109*c_0101_6, c_0101_3 - 11481318851036325471720718/5985150022703910848885109*c_0101_\ 6^23 + 119255730205651626856234844/855021431814844406983587*c_0101_\ 6^21 - 2330397298689115070098796134/855021431814844406983587*c_0101\ _6^19 + 89083577525736571137221366384/5985150022703910848885109*c_0\ 101_6^17 - 269276254284719621201275597904/5985150022703910848885109\ *c_0101_6^15 + 599612828537266413456751491505/598515002270391084888\ 5109*c_0101_6^13 - 707243328182983403817442069133/59851500227039108\ 48885109*c_0101_6^11 + 461560531989996100131639790214/5985150022703\ 910848885109*c_0101_6^9 - 5633748708770531143595708063/221672223063\ 107809217967*c_0101_6^7 + 27759428649614646163967205353/59851500227\ 03910848885109*c_0101_6^5 - 4337716753865619306342794233/5985150022\ 703910848885109*c_0101_6^3 + 514264740536959072790308766/5985150022\ 703910848885109*c_0101_6, c_0101_4 + 783107360279281023396215/855021431814844406983587*c_0101_6^2\ 2 - 56943984839220233005318804/855021431814844406983587*c_0101_6^20 + 1113036272182854705076308074/855021431814844406983587*c_0101_6^18 - 6083613905351216085274595722/855021431814844406983587*c_0101_6^16 + 18405156543383681339924270563/855021431814844406983587*c_0101_6^1\ 4 - 41007255924155622975514149677/855021431814844406983587*c_0101_6\ ^12 + 48470763019014002893084694407/855021431814844406983587*c_0101\ _6^10 - 31706465024603713373293805086/855021431814844406983587*c_01\ 01_6^8 + 1163990250908690897221459103/95002381312760489664843*c_010\ 1_6^6 - 1903961572124845823768309896/855021431814844406983587*c_010\ 1_6^4 + 296620976222831553844933055/855021431814844406983587*c_0101\ _6^2 - 35685233579026853415584638/855021431814844406983587, c_0101_6^24 - 73*c_0101_6^22 + 1442*c_0101_6^20 - 8173*c_0101_6^18 + 25713*c_0101_6^16 - 59051*c_0101_6^14 + 76792*c_0101_6^12 - 58092*c_0101_6^10 + 24895*c_0101_6^8 - 6239*c_0101_6^6 + 1073*c_0101_6^4 - 154*c_0101_6^2 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB