/* 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 - 42*x^10 + 43*x^9 + 811*x^8 - 349*x^7 - 8317*x^6 + 2578*x^5 + 56193*x^4 - 7783*x^3 - 209160*x^2 + 78428*x + 578536, 12, 7, [0, 6], 125049841902709607569, [7, 167], [1, a, a^2, a^3, a^4, a^5, a^6, 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^8 - 1/2*a, 1/42*a^9 + 3/14*a^8 - 3/14*a^7 - 1/6*a^6 + 17/42*a^5 + 5/14*a^4 + 1/42*a^3 + 1/3*a^2 - 1/3*a + 1/3, 1/42*a^10 - 1/7*a^8 - 5/21*a^7 - 2/21*a^6 - 2/7*a^5 - 4/21*a^4 + 5/42*a^3 - 1/3*a^2 + 1/3*a, 1/6387095928009296418492*a^11 + 3998928757592960365/1596773982002324104623*a^10 + 5736397409028813845/3193547964004648209246*a^9 - 1174258988171680207171/6387095928009296418492*a^8 + 71490119086612107985/6387095928009296418492*a^7 - 2574771805883895436367/6387095928009296418492*a^6 - 271503386914877174153/2129031976003098806164*a^5 + 19834574498079760743/76036856285824957363*a^4 + 3152082140536454529193/6387095928009296418492*a^3 + 440193050986425205157/912442275429899488356*a^2 - 21343710562862196491/76036856285824957363*a - 84854378393536696873/228110568857474872089], 1, 66, [66], 1, [ (1300863933856)/(70807236131538473)*a^(11) - (15444921535895)/(141614472263076946)*a^(10) - (196839193387307)/(424843416789230838)*a^(9) + (424933635359035)/(141614472263076946)*a^(8) + (476588192492201)/(70807236131538473)*a^(7) - (8355822863790278)/(212421708394615419)*a^(6) - (11741535493048301)/(212421708394615419)*a^(5) + (21075020886781949)/(70807236131538473)*a^(4) + (124463405688554125)/(424843416789230838)*a^(3) - (76906703016561721)/(60691916684175834)*a^(2) - (47989440548072945)/(60691916684175834)*a + (102758260311101161)/(30345958342087917) , (1300863933856)/(70807236131538473)*a^(11) - (15444921535895)/(141614472263076946)*a^(10) - (196839193387307)/(424843416789230838)*a^(9) + (424933635359035)/(141614472263076946)*a^(8) + (476588192492201)/(70807236131538473)*a^(7) - (8355822863790278)/(212421708394615419)*a^(6) - (11741535493048301)/(212421708394615419)*a^(5) + (21075020886781949)/(70807236131538473)*a^(4) + (124463405688554125)/(424843416789230838)*a^(3) - (76906703016561721)/(60691916684175834)*a^(2) - (47989440548072945)/(60691916684175834)*a + (72412301969013244)/(30345958342087917) , (252520077757318783)/(6387095928009296418492)*a^(11) - (305868058611377800)/(1596773982002324104623)*a^(10) - (2939080806703100305)/(3193547964004648209246)*a^(9) + (25609069831167905171)/(6387095928009296418492)*a^(8) + (23784777165588832335)/(2129031976003098806164)*a^(7) - (77675270202998785085)/(2129031976003098806164)*a^(6) - (116691572370864008061)/(2129031976003098806164)*a^(5) + (711625236658258120613)/(3193547964004648209246)*a^(4) + (394087241627895390271)/(2129031976003098806164)*a^(3) - (237997317388876092881)/(304147425143299829452)*a^(2) + (7273950965071842817)/(456221137714949744178)*a + (224523643359405217421)/(228110568857474872089) , (165672343914208787)/(3193547964004648209246)*a^(11) - (1191170173904625809)/(3193547964004648209246)*a^(10) - (314599935144316462)/(532257994000774701541)*a^(9) + (13095382366752615929)/(1596773982002324104623)*a^(8) + (125640892184290243)/(152073712571649914726)*a^(7) - (263133098885162883133)/(3193547964004648209246)*a^(6) + (152850097580487697181)/(3193547964004648209246)*a^(5) + (716381848941076304239)/(1596773982002324104623)*a^(4) - (507897112634487811891)/(1596773982002324104623)*a^(3) - (620124077579111169037)/(456221137714949744178)*a^(2) + (632879851868910149555)/(456221137714949744178)*a + (177451960750215093372)/(76036856285824957363) , (4300311119085292)/(1596773982002324104623)*a^(11) + (188264308573610467)/(1596773982002324104623)*a^(10) - (351415281227573453)/(3193547964004648209246)*a^(9) - (15487275475442215685)/(3193547964004648209246)*a^(8) - (5032757971964773105)/(3193547964004648209246)*a^(7) + (86188454537278235101)/(1064515988001549403082)*a^(6) + (229825961674162016869)/(3193547964004648209246)*a^(5) - (690054943894282719299)/(1064515988001549403082)*a^(4) - (2193282706957939890785)/(3193547964004648209246)*a^(3) + (638267534338532631091)/(228110568857474872089)*a^(2) + (859933720979171542702)/(228110568857474872089)*a - (272010512555282509289)/(228110568857474872089) ], 2950.17006547, [[x^2 - x + 42, 1], [x^3 - x^2 - 2*x + 1, 1], [x^6 - 2*x^5 + 5*x^4 - 7*x^3 + 10*x^2 - 8*x + 8, 1], [x^6 - x^5 + 121*x^4 - 81*x^3 + 5255*x^2 - 1681*x + 81269, 1], [x^6 - x^5 - 26*x^4 + 17*x^3 + 194*x^2 - 64*x - 344, 1]]]