Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 896838120] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1450 geometric_solution 5.27097603 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.849567656337 0.851642911158 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 -0.684541323659 0.150029970691 0 3 4 0 3201 0132 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 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 0.764510997114 0.491460449117 5 2 6 4 0132 0132 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 -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 0.240866072203 0.708089590214 6 3 5 2 1023 2310 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0.240866072203 0.708089590214 3 5 4 5 0132 2310 1023 3201 0 0 0 0 0 0 1 -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 1 0 -1 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 0.456941571118 0.924136616092 6 4 6 3 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.430573677187 1.265785321475 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], '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_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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' : d['c_0011_2'], '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_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_3'], '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_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), '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_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 90580736077806590819983453476832/18721197864158414303860179572285*c\ _0101_5^20 + 459416552578751988721154506749204/18721197864158414303\ 860179572285*c_0101_5^18 - 21086431020188189737437911372865292/1872\ 1197864158414303860179572285*c_0101_5^16 + 3066020873895513989426916891982051/18721197864158414303860179572285\ *c_0101_5^14 + 1497053587047456187286677079288967979/18721197864158\ 414303860179572285*c_0101_5^12 - 1436645358987309711471107928061217\ 691/3744239572831682860772035914457*c_0101_5^10 + 8543945084677895823731861769761770603/18721197864158414303860179572\ 285*c_0101_5^8 - 2986605456640931240263574870088981966/187211978641\ 58414303860179572285*c_0101_5^6 + 562895077358540076994336960747881\ 169/18721197864158414303860179572285*c_0101_5^4 - 173415294332154713335234500070094812/187211978641584143038601795722\ 85*c_0101_5^2 + 13337740728869992810071187145773104/187211978641584\ 14303860179572285, c_0011_0 - 1, c_0011_2 - 710451109138687997685666048/3352049751863637297020623021*c_0\ 101_5^20 - 3885066919945440914143047520/335204975186363729702062302\ 1*c_0101_5^18 + 163839638719262017917772180096/33520497518636372970\ 20623021*c_0101_5^16 + 40884936450214532049219087508/33520497518636\ 37297020623021*c_0101_5^14 - 11724063387472656159925134024456/33520\ 49751863637297020623021*c_0101_5^12 + 51691526143078385734977381451968/3352049751863637297020623021*c_010\ 1_5^10 - 46625438882472066528381557205435/3352049751863637297020623\ 021*c_0101_5^8 + 5416222019500985398743046611268/335204975186363729\ 7020623021*c_0101_5^6 - 2678134703585760838302418055841/33520497518\ 63637297020623021*c_0101_5^4 + 329117607005336804933444437353/33520\ 49751863637297020623021*c_0101_5^2 - 3161501659093247012806888682/3352049751863637297020623021, c_0011_4 + 386239039411153433250010904808/37442395728316828607720359144\ 57*c_0101_5^20 + 2114985721760004488046282290279/374423957283168286\ 0772035914457*c_0101_5^18 - 89055745170232377004684589367450/374423\ 9572831682860772035914457*c_0101_5^16 - 22883041117407430838874771292945/3744239572831682860772035914457*c_\ 0101_5^14 + 6373521588347244720753278561692670/37442395728316828607\ 72035914457*c_0101_5^12 - 28055145211532943050233916180818350/37442\ 39572831682860772035914457*c_0101_5^10 + 25150312618429342851459887696109945/3744239572831682860772035914457\ *c_0101_5^8 - 2799942277186917005288395693634514/374423957283168286\ 0772035914457*c_0101_5^6 + 1461400996198602635503369928505058/37442\ 39572831682860772035914457*c_0101_5^4 - 159331567163144440355603680687989/3744239572831682860772035914457*c\ _0101_5^2 + 75432974235974320702105236545/3744239572831682860772035\ 914457, c_0101_0 - 6432394055009139343716192/3352049751863637297020623021*c_010\ 1_5^21 - 203572762380328666289056012/3352049751863637297020623021*c\ _0101_5^19 + 560101259949370106231440709/33520497518636372970206230\ 21*c_0101_5^17 + 39191743414030668198147355676/33520497518636372970\ 20623021*c_0101_5^15 - 95899576093535711848196653211/33520497518636\ 37297020623021*c_0101_5^13 - 2310810683308203222096193010173/335204\ 9751863637297020623021*c_0101_5^11 + 11790313019459979823153865003669/3352049751863637297020623021*c_010\ 1_5^9 - 10824886906831265264838924036730/33520497518636372970206230\ 21*c_0101_5^7 + 1092787541541863692190998823476/3352049751863637297\ 020623021*c_0101_5^5 - 603053527724224075711687117853/3352049751863\ 637297020623021*c_0101_5^3 + 64166149973344144645336816151/33520497\ 51863637297020623021*c_0101_5, c_0101_1 - 2146062209306806339878574632/3352049751863637297020623021*c_\ 0101_5^21 - 11635775999591074769425253951/3352049751863637297020623\ 021*c_0101_5^19 + 495459042973122023005854896934/335204975186363729\ 7020623021*c_0101_5^17 + 100484682770654026013187369607/33520497518\ 63637297020623021*c_0101_5^15 - 35421105069310894961596826700813/33\ 52049751863637297020623021*c_0101_5^13 + 157792350738378903718022932438283/3352049751863637297020623021*c_01\ 01_5^11 - 148076255938177248123565953892044/33520497518636372970206\ 23021*c_0101_5^9 + 22784330562221677606011169774386/335204975186363\ 7297020623021*c_0101_5^7 - 8730833906657384209783825446374/33520497\ 51863637297020623021*c_0101_5^5 + 1340866967329013368345133278420/3\ 352049751863637297020623021*c_0101_5^3 - 41564682976195793878549822630/3352049751863637297020623021*c_0101_5\ , c_0101_3 - 3507842428498767303469586466280/3744239572831682860772035914\ 457*c_0101_5^21 - 19095271352585422557631682132191/3744239572831682\ 860772035914457*c_0101_5^19 + 809433039336310339638964867571673/374\ 4239572831682860772035914457*c_0101_5^17 + 181765818266430360623490643235986/3744239572831682860772035914457*c\ _0101_5^15 - 57892450716400374409955830253680034/374423957283168286\ 0772035914457*c_0101_5^13 + 256664571943170809743344955100897603/37\ 44239572831682860772035914457*c_0101_5^11 - 236554548152885219958480968178420735/374423957283168286077203591445\ 7*c_0101_5^9 + 32472942901196158178096832799829154/3744239572831682\ 860772035914457*c_0101_5^7 - 13904282335876433412988449582907961/37\ 44239572831682860772035914457*c_0101_5^5 + 1941736537337119738181381313067473/3744239572831682860772035914457*\ c_0101_5^3 - 48878615107878214739564041944392/374423957283168286077\ 2035914457*c_0101_5, c_0101_5^22 + 43/8*c_0101_5^20 - 1849/8*c_0101_5^18 - 36*c_0101_5^16 + 66031/4*c_0101_5^14 - 297203/4*c_0101_5^12 + 579367/8*c_0101_5^10 - 13732*c_0101_5^8 + 4460*c_0101_5^6 - 6459/8*c_0101_5^4 + 177/4*c_0101_5^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB