/* 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^22 - 3*x^20 - 5*x^18 + 58*x^16 - 141*x^14 + 140*x^12 - 16*x^10 - 89*x^8 + 13*x^6 + 49*x^4 + 21*x^2 - 1, 22, 39, [2, 10], 529866739430089519756710630129664, [2, 1831], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, a^18, a^19, 1/5357835031*a^20 - 650472014/5357835031*a^18 + 2352287723/5357835031*a^16 + 1615213444/5357835031*a^14 + 913581454/5357835031*a^12 + 850896603/5357835031*a^10 - 711987554/5357835031*a^8 + 330585008/5357835031*a^6 + 1455676538/5357835031*a^4 - 1018975059/5357835031*a^2 + 562686123/5357835031, 1/5357835031*a^21 - 650472014/5357835031*a^19 + 2352287723/5357835031*a^17 + 1615213444/5357835031*a^15 + 913581454/5357835031*a^13 + 850896603/5357835031*a^11 - 711987554/5357835031*a^9 + 330585008/5357835031*a^7 + 1455676538/5357835031*a^5 - 1018975059/5357835031*a^3 + 562686123/5357835031*a], 0, 1, [], 1, [ (6972989)/(5357835031)*a^(20) - (16751455)/(5357835031)*a^(18) + (253410647)/(5357835031)*a^(16) - (176051914)/(5357835031)*a^(14) - (2770657591)/(5357835031)*a^(12) + (15423856905)/(5357835031)*a^(10) - (25717093810)/(5357835031)*a^(8) + (16038446503)/(5357835031)*a^(6) + (8736472644)/(5357835031)*a^(4) - (14309155732)/(5357835031)*a^(2) - (8098925056)/(5357835031) , (251115977)/(5357835031)*a^(20) - (554298003)/(5357835031)*a^(18) - (1511309860)/(5357835031)*a^(16) + (12910261930)/(5357835031)*a^(14) - (26016230639)/(5357835031)*a^(12) + (23904017345)/(5357835031)*a^(10) - (7687092437)/(5357835031)*a^(8) + (2610213732)/(5357835031)*a^(6) - (22146993405)/(5357835031)*a^(4) + (9188703696)/(5357835031)*a^(2) + (3313449857)/(5357835031) , (6972989)/(5357835031)*a^(21) - (16751455)/(5357835031)*a^(19) + (253410647)/(5357835031)*a^(17) - (176051914)/(5357835031)*a^(15) - (2770657591)/(5357835031)*a^(13) + (15423856905)/(5357835031)*a^(11) - (25717093810)/(5357835031)*a^(9) + (16038446503)/(5357835031)*a^(7) + (8736472644)/(5357835031)*a^(5) - (14309155732)/(5357835031)*a^(3) - (8098925056)/(5357835031)*a , (1778978193)/(5357835031)*a^(21) - (5033146750)/(5357835031)*a^(19) - (9594394250)/(5357835031)*a^(17) + (101388841709)/(5357835031)*a^(15) - (234668219469)/(5357835031)*a^(13) + (215734920563)/(5357835031)*a^(11) - (11265018)/(5357835031)*a^(9) - (152844939726)/(5357835031)*a^(7) - (945727556)/(5357835031)*a^(5) + (85284931734)/(5357835031)*a^(3) + (41080024269)/(5357835031)*a , (490248280)/(5357835031)*a^(21) - (1081443067)/(5357835031)*a^(19) - (3388694466)/(5357835031)*a^(17) + (26147518963)/(5357835031)*a^(15) - (48193173649)/(5357835031)*a^(13) + (24416748383)/(5357835031)*a^(11) + (30528862014)/(5357835031)*a^(9) - (39880645559)/(5357835031)*a^(7) - (25895125700)/(5357835031)*a^(5) + (25405936965)/(5357835031)*a^(3) + (19980128614)/(5357835031)*a , (2039872636)/(5357835031)*a^(21) - (5909223255)/(5357835031)*a^(19) - (10018397540)/(5357835031)*a^(17) + (115734465953)/(5357835031)*a^(15) - (280673403735)/(5357835031)*a^(13) + (296092177704)/(5357835031)*a^(11) - (75791587599)/(5357835031)*a^(9) - (126803656775)/(5357835031)*a^(7) + (9031056520)/(5357835031)*a^(5) + (79458516822)/(5357835031)*a^(3) + (28188651025)/(5357835031)*a , (1360920255)/(5357835031)*a^(21) - (595640311)/(5357835031)*a^(20) - (4311393458)/(5357835031)*a^(19) + (2314747332)/(5357835031)*a^(18) - (6774499648)/(5357835031)*a^(17) + (2126925022)/(5357835031)*a^(16) + (81284451199)/(5357835031)*a^(15) - (38141783171)/(5357835031)*a^(14) - (200901365169)/(5357835031)*a^(13) + (108935008546)/(5357835031)*a^(12) + (190316301544)/(5357835031)*a^(11) - (124492951616)/(5357835031)*a^(10) + (4226052987)/(5357835031)*a^(9) + (39775697844)/(5357835031)*a^(8) - (162000852933)/(5357835031)*a^(7) + (56623496762)/(5357835031)*a^(6) + (27203011291)/(5357835031)*a^(5) - (25450626622)/(5357835031)*a^(4) + (88982862882)/(5357835031)*a^(3) - (41114762788)/(5357835031)*a^(2) + (39534207880)/(5357835031)*a - (13472834151)/(5357835031) , (7264732784)/(5357835031)*a^(21) - (1994019990)/(5357835031)*a^(20) - (20708625382)/(5357835031)*a^(19) + (5023069236)/(5357835031)*a^(18) - (38615041483)/(5357835031)*a^(17) + (11757356381)/(5357835031)*a^(16) + (414277871640)/(5357835031)*a^(15) - (109163948733)/(5357835031)*a^(14) - (968032899546)/(5357835031)*a^(13) + (233422142860)/(5357835031)*a^(12) + (910628528268)/(5357835031)*a^(11) - (195425793197)/(5357835031)*a^(10) - (41691521567)/(5357835031)*a^(9) - (23489140775)/(5357835031)*a^(8) - (613038462526)/(5357835031)*a^(7) + (151592083983)/(5357835031)*a^(6) + (12919472690)/(5357835031)*a^(5) + (31883252716)/(5357835031)*a^(4) + (337081045428)/(5357835031)*a^(3) - (76414764141)/(5357835031)*a^(2) + (171381098771)/(5357835031)*a - (35173400067)/(5357835031) , (533554284)/(5357835031)*a^(21) - (146039246)/(5357835031)*a^(20) - (1978299585)/(5357835031)*a^(19) + (579856289)/(5357835031)*a^(18) - (1748101621)/(5357835031)*a^(17) + (841688672)/(5357835031)*a^(16) + (33010930765)/(5357835031)*a^(15) - (10137359341)/(5357835031)*a^(14) - (95493090676)/(5357835031)*a^(13) + (25262906536)/(5357835031)*a^(12) + (118856213404)/(5357835031)*a^(11) - (14378593245)/(5357835031)*a^(10) - (52369718495)/(5357835031)*a^(9) - (23366809873)/(5357835031)*a^(8) - (41571080581)/(5357835031)*a^(7) + (48168461142)/(5357835031)*a^(6) + (30140552133)/(5357835031)*a^(5) - (13464950585)/(5357835031)*a^(4) + (16817822201)/(5357835031)*a^(3) - (25368419274)/(5357835031)*a^(2) + (11218606587)/(5357835031)*a - (48274655)/(5357835031) , (2377301886)/(5357835031)*a^(21) + (2616474518)/(5357835031)*a^(20) - (7461036312)/(5357835031)*a^(19) - (8913722206)/(5357835031)*a^(18) - (12067961310)/(5357835031)*a^(17) - (9002988904)/(5357835031)*a^(16) + (142848414976)/(5357835031)*a^(15) + (155470348187)/(5357835031)*a^(14) - (349065969730)/(5357835031)*a^(13) - (437541982933)/(5357835031)*a^(12) + (315163742503)/(5357835031)*a^(11) + (561012613799)/(5357835031)*a^(10) + (77818979389)/(5357835031)*a^(9) - (260121652467)/(5357835031)*a^(8) - (407878808187)/(5357835031)*a^(7) - (202040025548)/(5357835031)*a^(6) + (175756985869)/(5357835031)*a^(5) + (198978695064)/(5357835031)*a^(4) + (149955480555)/(5357835031)*a^(3) + (27218536377)/(5357835031)*a^(2) - (20848480200)/(5357835031)*a - (2044503261)/(5357835031) , (13549852823)/(5357835031)*a^(21) + (1867025798)/(5357835031)*a^(20) - (40478591740)/(5357835031)*a^(19) - (5431189154)/(5357835031)*a^(18) - (67932364626)/(5357835031)*a^(17) - (10736106640)/(5357835031)*a^(16) + (784565054574)/(5357835031)*a^(15) + (109340669984)/(5357835031)*a^(14) - (1903435546918)/(5357835031)*a^(13) - (247827478448)/(5357835031)*a^(12) + (1889036489675)/(5357835031)*a^(11) + (191386638604)/(5357835031)*a^(10) - (212363940187)/(5357835031)*a^(9) + (83717794615)/(5357835031)*a^(8) - (1218796389340)/(5357835031)*a^(7) - (241416816408)/(5357835031)*a^(6) + (210197686150)/(5357835031)*a^(5) - (1135640564)/(5357835031)*a^(4) + (625683137569)/(5357835031)*a^(3) + (149921296316)/(5357835031)*a^(2) + (277558822015)/(5357835031)*a + (56142157024)/(5357835031) ], 82012645.5743, [[x^11 - 2*x^10 + 3*x^9 + 2*x^8 - 5*x^7 + 16*x^6 - 10*x^5 + 10*x^4 + 2*x^3 - 3*x^2 + 4*x - 1, 1]]]