Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 1932717941] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s641 geometric_solution 5.13399608 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 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 1 0 -1 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 0.377119977254 0.697789256578 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 -1 1 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 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800536961133 1.031132367020 3 0 4 1 3201 0132 2310 3012 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 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 0.800536961133 1.031132367020 3 1 3 2 2310 0132 3201 2310 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 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 -0.105108698419 0.853692087893 5 2 1 5 0132 3201 0132 1023 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825374259111 0.554065200927 4 5 5 4 0132 1230 3012 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 1.612036559853 0.458031216382 ==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' : negation(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' : 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' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 7821021429126802788/28773750363165569*c_0101_5^14 - 53328643816920726736/28773750363165569*c_0101_5^13 - 5330107689981726205/28773750363165569*c_0101_5^12 + 314604514094944771509/28773750363165569*c_0101_5^11 + 421025159848844596533/28773750363165569*c_0101_5^10 + 265960020045857408542/28773750363165569*c_0101_5^9 - 201921305799085977961/28773750363165569*c_0101_5^8 - 1345680404444381456804/28773750363165569*c_0101_5^7 - 1615991307418881264069/28773750363165569*c_0101_5^6 - 1206475899684497822361/28773750363165569*c_0101_5^5 - 578415647116416401171/28773750363165569*c_0101_5^4 + 407290532423303296798/28773750363165569*c_0101_5^3 + 170383814937798684959/28773750363165569*c_0101_5^2 - 34834021381507858719/28773750363165569*c_0101_5 - 11218665663140891014/28773750363165569, c_0011_0 - 1, c_0011_4 + 5860174945822720/28773750363165569*c_0101_5^14 + 32219811617512306/28773750363165569*c_0101_5^13 - 48756296652616345/28773750363165569*c_0101_5^12 - 240887019991524068/28773750363165569*c_0101_5^11 - 4711236327080053/28773750363165569*c_0101_5^10 + 213372431371633345/28773750363165569*c_0101_5^9 + 416822281161511169/28773750363165569*c_0101_5^8 + 828150598004390593/28773750363165569*c_0101_5^7 - 114616814606070874/28773750363165569*c_0101_5^6 - 688872047777810960/28773750363165569*c_0101_5^5 - 768888884078383331/28773750363165569*c_0101_5^4 - 938089200795052663/28773750363165569*c_0101_5^3 + 248534308249757325/28773750363165569*c_0101_5^2 + 153971057818315631/28773750363165569*c_0101_5 - 35728348121538855/28773750363165569, c_0101_0 - 48475175629174642/28773750363165569*c_0101_5^14 - 321808087156575023/28773750363165569*c_0101_5^13 + 26832649089977374/28773750363165569*c_0101_5^12 + 1958262923471234924/28773750363165569*c_0101_5^11 + 2258390008661135562/28773750363165569*c_0101_5^10 + 1167097957650427668/28773750363165569*c_0101_5^9 - 1563963563742249466/28773750363165569*c_0101_5^8 - 8139349095582195027/28773750363165569*c_0101_5^7 - 8521188529052181146/28773750363165569*c_0101_5^6 - 5634401856371619548/28773750363165569*c_0101_5^5 - 2155070237972868094/28773750363165569*c_0101_5^4 + 3280841644828091573/28773750363165569*c_0101_5^3 + 676693831059430493/28773750363165569*c_0101_5^2 - 360380112125053233/28773750363165569*c_0101_5 - 29291294756632909/28773750363165569, c_0101_1 + 66456774715973430/28773750363165569*c_0101_5^14 + 435760746435299443/28773750363165569*c_0101_5^13 - 69869463934796441/28773750363165569*c_0101_5^12 - 2663664315144853322/28773750363165569*c_0101_5^11 - 2885688419424489713/28773750363165569*c_0101_5^10 - 1456014891201519042/28773750363165569*c_0101_5^9 + 2183686874338181964/28773750363165569*c_0101_5^8 + 10924232004498442590/28773750363165569*c_0101_5^7 + 10861332461692242702/28773750363165569*c_0101_5^6 + 7195497634438963903/28773750363165569*c_0101_5^5 + 2704357925843732318/28773750363165569*c_0101_5^4 - 4437925844255956744/28773750363165569*c_0101_5^3 - 463039620875396494/28773750363165569*c_0101_5^2 + 424723321662151198/28773750363165569*c_0101_5 - 395127429183934/28773750363165569, c_0101_2 + 99613641018284778/28773750363165569*c_0101_5^14 + 681716911773634059/28773750363165569*c_0101_5^13 + 84910181293174868/28773750363165569*c_0101_5^12 - 4004658081286715417/28773750363165569*c_0101_5^11 - 5461164950663610791/28773750363165569*c_0101_5^10 - 3526936184253965616/28773750363165569*c_0101_5^9 + 2475138745907624796/28773750363165569*c_0101_5^8 + 17209853719576395586/28773750363165569*c_0101_5^7 + 21017212827152653829/28773750363165569*c_0101_5^6 + 15895795588562970157/28773750363165569*c_0101_5^5 + 7783729449626138383/28773750363165569*c_0101_5^4 - 5009444511034781500/28773750363165569*c_0101_5^3 - 2296171215254045252/28773750363165569*c_0101_5^2 + 365495670753324038/28773750363165569*c_0101_5 + 146897347271878684/28773750363165569, c_0101_5^15 + 13/2*c_0101_5^14 - 3/2*c_0101_5^13 - 81/2*c_0101_5^12 - 41*c_0101_5^11 - 33/2*c_0101_5^10 + 37*c_0101_5^9 + 164*c_0101_5^8 + 303/2*c_0101_5^7 + 87*c_0101_5^6 + 47/2*c_0101_5^5 - 153/2*c_0101_5^4 - 11/2*c_0101_5^3 + 12*c_0101_5^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB