/* Data is in the following format
   Note, if the class group has not been computed, it, the class number, the fundamental units, regulator and whether grh was assumed are all 0.
[polynomial,
degree,
t-number of Galois group,
signature [r,s],
discriminant,
list of ramifying primes,
integral basis as polynomials in a,
1 if it is a cm field otherwise 0,
class number,
class group structure,
1 if grh was assumed and 0 if not,
fundamental units,
regulator,
list of subfields each as a pair [polynomial, number of subfields isomorphic to one defined by this polynomial]
]
*/

[x^12 - 2*x^11 + 41*x^10 - 6*x^9 + 1878*x^8 - 4406*x^7 + 63987*x^6 - 136784*x^5 + 1352954*x^4 - 3084580*x^3 + 19917769*x^2 - 31791008*x + 115888143, 12, 18, [0, 6], 51924135650907635776859701504, [2, 37, 59], [1, a, a^2, a^3, a^4, a^5, 1/2*a^6 - 1/2*a^5 - 1/2*a^3 - 1/2*a - 1/2, 1/2*a^7 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2, 1/2*a^8 - 1/2*a^4 - 1/2, 1/6*a^9 - 1/6*a^8 - 1/6*a^7 + 1/3*a^4 - 1/6*a^3 - 1/6*a^2 + 1/6*a, 1/18*a^10 + 1/18*a^9 + 1/6*a^8 - 1/9*a^7 + 1/6*a^6 + 5/18*a^5 - 1/6*a^4 - 1/18*a^2 + 5/18*a - 1/6, 1/106626886492688545779323976546*a^11 + 36864997680822936002513735/15232412356098363682760568078*a^10 - 7123073121169483207262114219/106626886492688545779323976546*a^9 + 12553532610742729258232596901/53313443246344272889661988273*a^8 + 504908895556306667561093947/2176058908014051954680081154*a^7 - 12142711459543724392047339691/106626886492688545779323976546*a^6 + 15424930699425908273949080711/106626886492688545779323976546*a^5 - 1025869743742512279073182067/17771147748781424296553996091*a^4 + 41194022528724365969035444571/106626886492688545779323976546*a^3 + 2716978742063861480294645065/106626886492688545779323976546*a^2 - 24789031992433071319435070401/106626886492688545779323976546*a - 970380317059505029357410860/2538735392683060613793428013], 1, 5844636, [3, 18, 108234], 1, [ -(13154567326016899410646)/(53313443246344272889661988273)*a^(11) + (39391022975812676710879)/(7616206178049181841380284039)*a^(10) + (317231166792286501660217)/(53313443246344272889661988273)*a^(9) + (18032619522838738948214995)/(106626886492688545779323976546)*a^(8) + (143594071928751032250098)/(1088029454007025977340040577)*a^(7) + (503114955863464725449077708)/(53313443246344272889661988273)*a^(6) - (52827590588540794925222279)/(53313443246344272889661988273)*a^(5) + (8059867605739733648289133117)/(35542295497562848593107992182)*a^(4) - (4940947385703245374342228052)/(53313443246344272889661988273)*a^(3) + (217043849643350616164928081947)/(53313443246344272889661988273)*a^(2) - (141246534963338242935950577839)/(53313443246344272889661988273)*a + (178809946294242682752481827335)/(5077470785366121227586856026) , -(7717209127856200006121)/(53313443246344272889661988273)*a^(11) - (26100282026129713670123)/(15232412356098363682760568078)*a^(10) - (842980217921937313177765)/(106626886492688545779323976546)*a^(9) - (3838511191741467597183335)/(53313443246344272889661988273)*a^(8) - (401346414588135139880054)/(1088029454007025977340040577)*a^(7) - (244333543635202404710969771)/(106626886492688545779323976546)*a^(6) - (609258915535113008838535127)/(106626886492688545779323976546)*a^(5) - (1003060610046614307525046127)/(17771147748781424296553996091)*a^(4) - (1492491682280129862930051808)/(53313443246344272889661988273)*a^(3) - (83460181770860063630615274079)/(106626886492688545779323976546)*a^(2) + (786851566828945654890271357)/(106626886492688545779323976546)*a - (12366984728894479513475576500)/(2538735392683060613793428013) , (39210220602674287645819)/(53313443246344272889661988273)*a^(11) + (35311960464639370578925)/(15232412356098363682760568078)*a^(10) + (3582131371794844213523597)/(106626886492688545779323976546)*a^(9) + (6871396343549045593470013)/(53313443246344272889661988273)*a^(8) + (1630172115146504862203563)/(1088029454007025977340040577)*a^(7) + (103158872081436016395736034)/(53313443246344272889661988273)*a^(6) + (1847681347349197922662383917)/(53313443246344272889661988273)*a^(5) + (413612391926839935034778092)/(17771147748781424296553996091)*a^(4) + (59062796065184804083255428571)/(106626886492688545779323976546)*a^(3) - (32261304233667335157767583547)/(106626886492688545779323976546)*a^(2) + (252535756359337825755502349243)/(53313443246344272889661988273)*a - (11481318815916937821160964027)/(5077470785366121227586856026) , -(11102421636566205434831)/(17771147748781424296553996091)*a^(11) + (73629758084034056443675)/(5077470785366121227586856026)*a^(10) + (770477061097930685457635)/(35542295497562848593107992182)*a^(9) + (16632535238581237530831155)/(35542295497562848593107992182)*a^(8) + (169951819771101312593671)/(362676484669008659113346859)*a^(7) + (457171095138965877810828881)/(17771147748781424296553996091)*a^(6) - (40040613369095355164977471)/(17771147748781424296553996091)*a^(5) + (2313038692391551951094542587)/(3949143944173649843678665798)*a^(4) - (10140289588818382552905829391)/(35542295497562848593107992182)*a^(3) + (373187267721055527915494947577)/(35542295497562848593107992182)*a^(2) - (140050516276780352237958603799)/(17771147748781424296553996091)*a + (79071386529928070244979149026)/(846245130894353537931142671) , -(1808356878667769610556)/(7616206178049181841380284039)*a^(11) - (6447314838335374178552)/(1088029454007025977340040577)*a^(10) - (205584152638585813798015)/(7616206178049181841380284039)*a^(9) - (3416715828759102326818421)/(15232412356098363682760568078)*a^(8) - (1132935789027747868805335)/(1088029454007025977340040577)*a^(7) - (143370797168315257050043735)/(15232412356098363682760568078)*a^(6) - (310256528253348915867427963)/(15232412356098363682760568078)*a^(5) - (1038965439311262252069059729)/(5077470785366121227586856026)*a^(4) - (3908056290377358336566708917)/(15232412356098363682760568078)*a^(3) - (24759821777794226572119185482)/(7616206178049181841380284039)*a^(2) - (7075802895182221687290224455)/(15232412356098363682760568078)*a - (10104990332597402364245451020)/(362676484669008659113346859) ], 12302.579850899174, [[x^2 - x + 546, 1], [x^2 - x + 15, 1], [x^2 - x - 9, 1], [x^4 + 11*x^2 + 576, 1], [x^6 - 2*x^5 - 23*x^4 + 2*x^3 + 129*x^2 + 116*x - 27, 1]]]