/* 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 - 6*x^20 + 14*x^18 - 15*x^16 - 6*x^14 + 47*x^12 - 75*x^10 + 21*x^8 + 101*x^6 - 110*x^4 + 55*x^2 - 11, 22, 52, [6, 8], 31524414620673611592542191616, [2, 11, 19, 547], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^5 - 1/2*a^3 - 1/2, 1/2*a^11 - 1/2*a^8 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a - 1/2, 1/2*a^12 - 1/2*a^9 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^2 - 1/2*a, 1/2*a^13 - 1/2*a^9 - 1/2*a^7 - 1/2*a^6 - 1/2*a^2 - 1/2, 1/2*a^14 - 1/2*a^9 - 1/2*a^7 - 1/2*a^5 - 1/2*a - 1/2, 1/2*a^15 - 1/2*a^9 - 1/2*a^6 - 1/2*a^5 - 1/2*a^3 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^16 - 1/2*a^9 - 1/2*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^17 - 1/2*a^7 - 1/2*a^6 - 1/2*a^2 - 1/2*a - 1/2, 1/10*a^18 - 1/5*a^16 + 1/5*a^14 + 1/10*a^12 - 1/2*a^9 + 3/10*a^8 - 3/10*a^6 - 1/2*a^5 - 3/10*a^4 - 1/2*a^3 - 2/5*a^2 - 2/5, 1/10*a^19 - 1/5*a^17 + 1/5*a^15 + 1/10*a^13 - 1/5*a^9 - 1/2*a^8 - 3/10*a^7 - 1/2*a^6 + 1/5*a^5 - 1/2*a^4 + 1/10*a^3 - 2/5*a - 1/2, 1/15568100*a^20 - 420129/15568100*a^18 + 2522131/15568100*a^16 - 717939/7784050*a^14 - 733478/3892025*a^12 - 406277/15568100*a^10 - 1/2*a^9 + 2723823/7784050*a^8 - 1/2*a^7 + 568663/15568100*a^6 - 1/2*a^5 - 85712/3892025*a^4 + 1134497/7784050*a^2 - 1/2*a - 6235107/15568100, 1/31136200*a^21 - 1/31136200*a^20 - 420129/31136200*a^19 + 420129/31136200*a^18 - 5261919/31136200*a^17 + 5261919/31136200*a^16 - 717939/15568100*a^15 + 717939/15568100*a^14 - 366739/3892025*a^13 + 366739/3892025*a^12 - 406277/31136200*a^11 + 406277/31136200*a^10 - 584101/7784050*a^9 - 1653962/3892025*a^8 + 8352713/31136200*a^7 + 7215387/31136200*a^6 - 4063449/15568100*a^5 - 3720601/15568100*a^4 + 2513261/7784050*a^3 - 2513261/7784050*a^2 - 14019157/31136200*a - 1548943/31136200], 0, 1, [], 1, [ (262611)/(3113620)*a^(20) - (1551653)/(3113620)*a^(18) + (3559039)/(3113620)*a^(16) - (1826403)/(1556810)*a^(14) - (1010143)/(1556810)*a^(12) + (12504963)/(3113620)*a^(10) - (4774289)/(778405)*a^(8) + (716965)/(622724)*a^(6) + (6917636)/(778405)*a^(4) - (1355271)/(155681)*a^(2) + (10201079)/(3113620) , (262611)/(3113620)*a^(20) - (1551653)/(3113620)*a^(18) + (3559039)/(3113620)*a^(16) - (1826403)/(1556810)*a^(14) - (1010143)/(1556810)*a^(12) + (12504963)/(3113620)*a^(10) - (4774289)/(778405)*a^(8) + (716965)/(622724)*a^(6) + (6917636)/(778405)*a^(4) - (1510952)/(155681)*a^(2) + (10201079)/(3113620) , (4508597)/(31136200)*a^(21) + (93233)/(1245448)*a^(20) - (24735633)/(31136200)*a^(19) - (547457)/(1245448)*a^(18) + (50237597)/(31136200)*a^(17) + (1209417)/(1245448)*a^(16) - (20303453)/(15568100)*a^(15) - (560837)/(622724)*a^(14) - (12822971)/(7784050)*a^(13) - (114838)/(155681)*a^(12) + (190199831)/(31136200)*a^(11) + (4368275)/(1245448)*a^(10) - (60288037)/(7784050)*a^(9) - (1520181)/(311362)*a^(8) - (36536379)/(31136200)*a^(7) + (370205)/(1245448)*a^(6) + (223108227)/(15568100)*a^(5) + (5286503)/(622724)*a^(4) - (66443263)/(7784050)*a^(3) - (1029561)/(155681)*a^(2) + (80623751)/(31136200)*a + (2284395)/(1245448) , (4508597)/(31136200)*a^(21) - (93233)/(1245448)*a^(20) - (24735633)/(31136200)*a^(19) + (547457)/(1245448)*a^(18) + (50237597)/(31136200)*a^(17) - (1209417)/(1245448)*a^(16) - (20303453)/(15568100)*a^(15) + (560837)/(622724)*a^(14) - (12822971)/(7784050)*a^(13) + (114838)/(155681)*a^(12) + (190199831)/(31136200)*a^(11) - (4368275)/(1245448)*a^(10) - (60288037)/(7784050)*a^(9) + (1520181)/(311362)*a^(8) - (36536379)/(31136200)*a^(7) - (370205)/(1245448)*a^(6) + (223108227)/(15568100)*a^(5) - (5286503)/(622724)*a^(4) - (66443263)/(7784050)*a^(3) + (1029561)/(155681)*a^(2) + (80623751)/(31136200)*a - (2284395)/(1245448) , (4508597)/(31136200)*a^(21) + (4883019)/(31136200)*a^(20) - (24735633)/(31136200)*a^(19) - (27080051)/(31136200)*a^(18) + (50237597)/(31136200)*a^(17) + (55533839)/(31136200)*a^(16) - (20303453)/(15568100)*a^(15) - (22747441)/(15568100)*a^(14) - (12822971)/(7784050)*a^(13) - (6638116)/(3892025)*a^(12) + (190199831)/(31136200)*a^(11) + (202626137)/(31136200)*a^(10) - (60288037)/(7784050)*a^(9) - (32666347)/(3892025)*a^(8) - (36536379)/(31136200)*a^(7) - (35275053)/(31136200)*a^(6) + (223108227)/(15568100)*a^(5) + (244149319)/(15568100)*a^(4) - (66443263)/(7784050)*a^(3) - (70935291)/(7784050)*a^(2) + (80623751)/(31136200)*a + (83644017)/(31136200) , (676917)/(31136200)*a^(21) + (793881)/(31136200)*a^(20) - (3752353)/(31136200)*a^(19) - (4569869)/(31136200)*a^(18) + (8561297)/(31136200)*a^(17) + (10278301)/(31136200)*a^(16) - (5077223)/(15568100)*a^(15) - (5319829)/(15568100)*a^(14) - (433291)/(7784050)*a^(13) - (1382223)/(7784050)*a^(12) + (25814691)/(31136200)*a^(11) + (35440963)/(31136200)*a^(10) - (5933281)/(3892025)*a^(9) - (6581348)/(3892025)*a^(8) + (21049901)/(31136200)*a^(7) + (8544113)/(31136200)*a^(6) + (22700907)/(15568100)*a^(5) + (37988261)/(15568100)*a^(4) - (7603439)/(3892025)*a^(3) - (21130739)/(7784050)*a^(2) + (78381471)/(31136200)*a + (42493763)/(31136200) , (1203639)/(15568100)*a^(21) + (216591)/(7784050)*a^(20) - (6852471)/(15568100)*a^(19) - (697072)/(3892025)*a^(18) + (14893489)/(15568100)*a^(17) + (3371331)/(7784050)*a^(16) - (7080561)/(7784050)*a^(15) - (1829529)/(3892025)*a^(14) - (5260829)/(7784050)*a^(13) - (1006597)/(7784050)*a^(12) + (53235447)/(15568100)*a^(11) + (10527593)/(7784050)*a^(10) - (19370119)/(3892025)*a^(9) - (8499777)/(3892025)*a^(8) + (8777727)/(15568100)*a^(7) + (6491923)/(7784050)*a^(6) + (59138599)/(7784050)*a^(5) + (11920586)/(3892025)*a^(4) - (26815331)/(3892025)*a^(3) - (11277913)/(3892025)*a^(2) + (50865137)/(15568100)*a + (4674004)/(3892025) , (27354)/(3892025)*a^(21) + (185479)/(15568100)*a^(20) - (452897)/(7784050)*a^(19) - (539051)/(15568100)*a^(18) + (1450853)/(7784050)*a^(17) - (387531)/(15568100)*a^(16) - (1025727)/(3892025)*a^(15) + (735392)/(3892025)*a^(14) + (105057)/(3892025)*a^(13) - (1367302)/(3892025)*a^(12) + (2322342)/(3892025)*a^(11) + (1536367)/(15568100)*a^(10) - (4501326)/(3892025)*a^(9) + (5325877)/(7784050)*a^(8) + (4573199)/(7784050)*a^(7) - (25298693)/(15568100)*a^(6) + (10037761)/(7784050)*a^(5) + (4627369)/(7784050)*a^(4) - (10958469)/(3892025)*a^(3) + (17827133)/(7784050)*a^(2) + (7854179)/(7784050)*a - (22227663)/(15568100) , (4508597)/(31136200)*a^(21) - (1093503)/(31136200)*a^(20) - (24735633)/(31136200)*a^(19) + (7031747)/(31136200)*a^(18) + (50237597)/(31136200)*a^(17) - (17525163)/(31136200)*a^(16) - (20303453)/(15568100)*a^(15) + (9644377)/(15568100)*a^(14) - (12822971)/(7784050)*a^(13) + (2000699)/(7784050)*a^(12) + (190199831)/(31136200)*a^(11) - (64023769)/(31136200)*a^(10) - (60288037)/(7784050)*a^(9) + (13165424)/(3892025)*a^(8) - (36536379)/(31136200)*a^(7) - (33884819)/(31136200)*a^(6) + (223108227)/(15568100)*a^(5) - (75225493)/(15568100)*a^(4) - (66443263)/(7784050)*a^(3) + (46749357)/(7784050)*a^(2) + (80623751)/(31136200)*a - (64173169)/(31136200) , (152627)/(3113620)*a^(21) + (636414)/(3892025)*a^(20) - (827241)/(3113620)*a^(19) - (7179937)/(7784050)*a^(18) + (1597573)/(3113620)*a^(17) + (15003943)/(7784050)*a^(16) - (492541)/(1556810)*a^(15) - (12515509)/(7784050)*a^(14) - (1193961)/(1556810)*a^(13) - (7029968)/(3892025)*a^(12) + (6686671)/(3113620)*a^(11) + (55432669)/(7784050)*a^(10) - (3477551)/(1556810)*a^(9) - (72564837)/(7784050)*a^(8) - (886863)/(622724)*a^(7) - (2634193)/(3892025)*a^(6) + (8691829)/(1556810)*a^(5) + (131313781)/(7784050)*a^(4) - (271976)/(155681)*a^(3) - (88652543)/(7784050)*a^(2) - (3218357)/(3113620)*a + (12486502)/(3892025) , (152627)/(3113620)*a^(21) - (636414)/(3892025)*a^(20) - (827241)/(3113620)*a^(19) + (7179937)/(7784050)*a^(18) + (1597573)/(3113620)*a^(17) - (15003943)/(7784050)*a^(16) - (492541)/(1556810)*a^(15) + (12515509)/(7784050)*a^(14) - (1193961)/(1556810)*a^(13) + (7029968)/(3892025)*a^(12) + (6686671)/(3113620)*a^(11) - (55432669)/(7784050)*a^(10) - (3477551)/(1556810)*a^(9) + (72564837)/(7784050)*a^(8) - (886863)/(622724)*a^(7) + (2634193)/(3892025)*a^(6) + (8691829)/(1556810)*a^(5) - (131313781)/(7784050)*a^(4) - (271976)/(155681)*a^(3) + (88652543)/(7784050)*a^(2) - (3218357)/(3113620)*a - (12486502)/(3892025) , (739951)/(6227240)*a^(21) + (739951)/(6227240)*a^(20) - (840583)/(1245448)*a^(19) - (840583)/(1245448)*a^(18) + (8997723)/(6227240)*a^(17) + (8997723)/(6227240)*a^(16) - (822307)/(622724)*a^(15) - (822307)/(622724)*a^(14) - (871646)/(778405)*a^(13) - (871646)/(778405)*a^(12) + (32302013)/(6227240)*a^(11) + (32302013)/(6227240)*a^(10) - (11065453)/(1556810)*a^(9) - (11065453)/(1556810)*a^(8) + (1610111)/(6227240)*a^(7) + (1610111)/(6227240)*a^(6) + (7522543)/(622724)*a^(5) + (7522543)/(622724)*a^(4) - (7182259)/(778405)*a^(3) - (7182259)/(778405)*a^(2) + (22136137)/(6227240)*a + (22136137)/(6227240) , (1342017)/(15568100)*a^(21) + (546227)/(3113620)*a^(20) - (7507403)/(15568100)*a^(19) - (595957)/(622724)*a^(18) + (15114397)/(15568100)*a^(17) + (5924071)/(3113620)*a^(16) - (2717474)/(3892025)*a^(15) - (441789)/(311362)*a^(14) - (8799107)/(7784050)*a^(13) - (1679454)/(778405)*a^(12) + (57629891)/(15568100)*a^(11) + (22480341)/(3113620)*a^(10) - (33824599)/(7784050)*a^(9) - (6723896)/(778405)*a^(8) - (19314499)/(15568100)*a^(7) - (7167093)/(3113620)*a^(6) + (36087591)/(3892025)*a^(5) + (2718823)/(155681)*a^(4) - (35021881)/(7784050)*a^(3) - (7082541)/(778405)*a^(2) - (919129)/(15568100)*a + (5543669)/(3113620) ], 496007.27434, [[x^11 - x^9 + x^7 - x^6 + 2*x^5 + x^4 - 2*x^3 - x - 1, 1]]]