/* 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^21 - 3*x^20 - 4*x^19 + 16*x^18 - 9*x^17 - 33*x^16 + 52*x^15 + 12*x^14 - 136*x^13 + 96*x^12 + 180*x^11 - 260*x^10 - 144*x^9 + 312*x^8 + 44*x^7 - 220*x^6 + 15*x^5 + 59*x^4 - 16*x^3 + 36*x^2 - 31*x + 1, 21, 20, [3, 9], -7146646609494406531041460224, [2, 3], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/2*a^8 - 1/2, 1/2*a^9 - 1/2*a, 1/2*a^10 - 1/2*a^2, 1/2*a^11 - 1/2*a^3, 1/4*a^12 - 1/4*a^8 + 1/4*a^4 - 1/4, 1/4*a^13 - 1/4*a^9 + 1/4*a^5 - 1/4*a, 1/8*a^14 - 1/8*a^12 + 1/8*a^10 - 1/8*a^8 + 1/8*a^6 - 1/8*a^4 + 1/8*a^2 - 1/8, 1/8*a^15 - 1/8*a^13 + 1/8*a^11 - 1/8*a^9 + 1/8*a^7 - 1/8*a^5 + 1/8*a^3 - 1/8*a, 1/8*a^16 - 1/8, 1/64*a^17 - 3/64*a^16 + 1/32*a^15 - 1/32*a^14 + 1/16*a^13 + 7/32*a^11 + 5/32*a^10 - 1/4*a^9 - 1/16*a^8 - 15/32*a^7 - 9/32*a^6 + 3/16*a^5 - 3/8*a^4 + 11/32*a^3 + 1/32*a^2 - 1/64*a + 15/64, 1/64*a^18 + 1/64*a^16 - 1/16*a^15 - 1/32*a^14 + 1/16*a^13 - 1/32*a^12 + 3/16*a^11 + 7/32*a^10 + 1/16*a^9 + 3/32*a^8 + 3/16*a^7 + 11/32*a^6 + 1/16*a^5 - 1/32*a^4 + 7/16*a^3 + 5/64*a^2 + 1/16*a + 21/64, 1/128*a^19 - 1/128*a^18 - 1/128*a^17 - 7/128*a^16 + 3/64*a^15 + 1/64*a^14 + 5/64*a^13 - 5/64*a^12 + 7/64*a^11 - 3/64*a^10 - 3/64*a^9 - 5/64*a^8 - 25/64*a^7 - 27/64*a^6 + 29/64*a^5 + 27/64*a^4 + 37/128*a^3 + 19/128*a^2 - 21/128*a - 3/128, 1/1157298870656*a^20 - 1048673419/1157298870656*a^19 - 779216257/1157298870656*a^18 + 2580505063/1157298870656*a^17 - 27905486493/578649435328*a^16 - 9131520381/578649435328*a^15 + 8596105857/578649435328*a^14 + 11920676885/578649435328*a^13 + 3984972003/578649435328*a^12 - 50090446817/578649435328*a^11 + 128354582921/578649435328*a^10 + 66215511389/578649435328*a^9 + 2597510291/578649435328*a^8 - 59552884241/578649435328*a^7 + 83339962201/578649435328*a^6 - 243029498667/578649435328*a^5 - 330362936963/1157298870656*a^4 - 191820525839/1157298870656*a^3 - 513957271741/1157298870656*a^2 - 401219358285/1157298870656*a - 53116372489/144662358832], 0, 1, [], 1, [ (129427364769)/(1157298870656)*a^(20) - (158973451327)/(578649435328)*a^(19) - (351863426395)/(578649435328)*a^(18) + (213741308075)/(144662358832)*a^(17) - (147170050183)/(1157298870656)*a^(16) - (139141792923)/(36165589708)*a^(15) + (133303594185)/(36165589708)*a^(14) + (1065014444933)/(289324717664)*a^(13) - (3862091276047)/(289324717664)*a^(12) + (448956981469)/(144662358832)*a^(11) + (1651205609303)/(72331179416)*a^(10) - (4704181620609)/(289324717664)*a^(9) - (7740895406949)/(289324717664)*a^(8) + (750934815771)/(36165589708)*a^(7) + (2688136179979)/(144662358832)*a^(6) - (4202981530531)/(289324717664)*a^(5) - (8711131285301)/(1157298870656)*a^(4) + (2051237676699)/(578649435328)*a^(3) + (375446281071)/(578649435328)*a^(2) + (1194438179365)/(289324717664)*a - (748174762069)/(1157298870656) , (83285702587)/(578649435328)*a^(20) - (471299973371)/(1157298870656)*a^(19) - (731066570167)/(1157298870656)*a^(18) + (2508421152449)/(1157298870656)*a^(17) - (1162863783073)/(1157298870656)*a^(16) - (2769265833775)/(578649435328)*a^(15) + (3859091009665)/(578649435328)*a^(14) + (1424314263809)/(578649435328)*a^(13) - (10898906902719)/(578649435328)*a^(12) + (6343032261785)/(578649435328)*a^(11) + (15341905437881)/(578649435328)*a^(10) - (18913369187827)/(578649435328)*a^(9) - (14048401201219)/(578649435328)*a^(8) + (23118287100389)/(578649435328)*a^(7) + (6319577821861)/(578649435328)*a^(6) - (16834079217695)/(578649435328)*a^(5) - (262813125261)/(289324717664)*a^(4) + (9502578675477)/(1157298870656)*a^(3) - (2070075445679)/(1157298870656)*a^(2) + (5355361971721)/(1157298870656)*a - (3708346015125)/(1157298870656) , (16089452013)/(578649435328)*a^(20) - (17548746351)/(289324717664)*a^(19) - (21856414013)/(144662358832)*a^(18) + (169017638937)/(578649435328)*a^(17) - (5242378001)/(144662358832)*a^(16) - (247523631651)/(289324717664)*a^(15) + (194248956357)/(289324717664)*a^(14) + (14750844585)/(18082794854)*a^(13) - (27158031835)/(9041397427)*a^(12) + (58938698615)/(289324717664)*a^(11) + (1391455292931)/(289324717664)*a^(10) - (435926288707)/(144662358832)*a^(9) - (915434320323)/(144662358832)*a^(8) + (1187941773949)/(289324717664)*a^(7) + (979254130849)/(289324717664)*a^(6) - (374257690087)/(72331179416)*a^(5) - (884382196413)/(578649435328)*a^(4) + (376067881649)/(144662358832)*a^(3) - (161403691203)/(289324717664)*a^(2) - (661133074917)/(578649435328)*a + (4901810997)/(9041397427) , (596854485)/(578649435328)*a^(20) + (54738701309)/(1157298870656)*a^(19) - (86242213247)/(1157298870656)*a^(18) - (372447403255)/(1157298870656)*a^(17) + (284018345067)/(1157298870656)*a^(16) + (107102601553)/(578649435328)*a^(15) - (672805223615)/(578649435328)*a^(14) + (7284441729)/(578649435328)*a^(13) + (799000775169)/(578649435328)*a^(12) - (1809294548679)/(578649435328)*a^(11) - (1664278463639)/(578649435328)*a^(10) + (3411423357325)/(578649435328)*a^(9) + (1236688604861)/(578649435328)*a^(8) - (5569920789019)/(578649435328)*a^(7) - (2939011913259)/(578649435328)*a^(6) + (2985599791105)/(578649435328)*a^(5) + (121812064719)/(144662358832)*a^(4) - (3024670686115)/(1157298870656)*a^(3) - (515121661671)/(1157298870656)*a^(2) - (1938633392639)/(1157298870656)*a + (698342925247)/(1157298870656) , (175280861911)/(1157298870656)*a^(20) - (474345335353)/(1157298870656)*a^(19) - (842727929861)/(1157298870656)*a^(18) + (2545962503109)/(1157298870656)*a^(17) - (200299827153)/(289324717664)*a^(16) - (2963218437203)/(578649435328)*a^(15) + (3676671911565)/(578649435328)*a^(14) + (2075541487619)/(578649435328)*a^(13) - (11162835527285)/(578649435328)*a^(12) + (5290248244545)/(578649435328)*a^(11) + (17010187305589)/(578649435328)*a^(10) - (17399443180533)/(578649435328)*a^(9) - (16924064124733)/(578649435328)*a^(8) + (21301089653217)/(578649435328)*a^(7) + (9141061001485)/(578649435328)*a^(6) - (14444410115453)/(578649435328)*a^(5) - (3611798241913)/(1157298870656)*a^(4) + (6744952422995)/(1157298870656)*a^(3) - (2045579758673)/(1157298870656)*a^(2) + (5565662366129)/(1157298870656)*a - (1770253298615)/(578649435328) , (150829193581)/(1157298870656)*a^(20) - (27030032205)/(72331179416)*a^(19) - (155989835767)/(289324717664)*a^(18) + (1113139812617)/(578649435328)*a^(17) - (1213518456829)/(1157298870656)*a^(16) - (1158648299527)/(289324717664)*a^(15) + (1750259688207)/(289324717664)*a^(14) + (54258396817)/(36165589708)*a^(13) - (2367945883271)/(144662358832)*a^(12) + (3143193015583)/(289324717664)*a^(11) + (6217762521895)/(289324717664)*a^(10) - (4227533373839)/(144662358832)*a^(9) - (1268707592147)/(72331179416)*a^(8) + (9675108434837)/(289324717664)*a^(7) + (1317275909569)/(289324717664)*a^(6) - (815099808675)/(36165589708)*a^(5) + (3364234441443)/(1157298870656)*a^(4) + (1248927194331)/(289324717664)*a^(3) - (79071756327)/(36165589708)*a^(2) + (2966272951331)/(578649435328)*a - (4418522544091)/(1157298870656) , (3359282503)/(144662358832)*a^(20) - (66654576101)/(1157298870656)*a^(19) - (151532555141)/(1157298870656)*a^(18) + (338261364355)/(1157298870656)*a^(17) + (87861959335)/(1157298870656)*a^(16) - (426144093597)/(578649435328)*a^(15) + (276532168247)/(578649435328)*a^(14) + (649253579135)/(578649435328)*a^(13) - (1331297534653)/(578649435328)*a^(12) - (59851945197)/(578649435328)*a^(11) + (2957563553807)/(578649435328)*a^(10) - (638342218053)/(578649435328)*a^(9) - (4048852935457)/(578649435328)*a^(8) + (1024368592895)/(578649435328)*a^(7) + (4303583226683)/(578649435328)*a^(6) + (581903411775)/(578649435328)*a^(5) - (2196665477569)/(578649435328)*a^(4) - (2259113796893)/(1157298870656)*a^(3) + (3071011350219)/(1157298870656)*a^(2) + (2215155328163)/(1157298870656)*a + (87945479831)/(1157298870656) , (48263755047)/(578649435328)*a^(20) - (263242917151)/(1157298870656)*a^(19) - (442129772493)/(1157298870656)*a^(18) + (1402219910317)/(1157298870656)*a^(17) - (623484547327)/(1157298870656)*a^(16) - (1587754015015)/(578649435328)*a^(15) + (2137511821311)/(578649435328)*a^(14) + (764403052657)/(578649435328)*a^(13) - (6092355161441)/(578649435328)*a^(12) + (3401115447985)/(578649435328)*a^(11) + (8398381718951)/(578649435328)*a^(10) - (10321679352147)/(578649435328)*a^(9) - (7516351947837)/(578649435328)*a^(8) + (11460785465485)/(578649435328)*a^(7) + (3257201988475)/(578649435328)*a^(6) - (7872140844655)/(578649435328)*a^(5) - (123910516381)/(72331179416)*a^(4) + (1704601063209)/(1157298870656)*a^(3) + (263322172723)/(1157298870656)*a^(2) + (4197240082333)/(1157298870656)*a - (2685712297355)/(1157298870656) , (39316738907)/(289324717664)*a^(20) - (209022228451)/(578649435328)*a^(19) - (390454918837)/(578649435328)*a^(18) + (572530078401)/(289324717664)*a^(17) - (162322627653)/(289324717664)*a^(16) - (698664710397)/(144662358832)*a^(15) + (828641734339)/(144662358832)*a^(14) + (1066380406143)/(289324717664)*a^(13) - (5231200325489)/(289324717664)*a^(12) + (542450349773)/(72331179416)*a^(11) + (2054130684897)/(72331179416)*a^(10) - (8204460044927)/(289324717664)*a^(9) - (8504501869023)/(289324717664)*a^(8) + (5423249163725)/(144662358832)*a^(7) + (2273792544077)/(144662358832)*a^(6) - (8858615353949)/(289324717664)*a^(5) - (67969170667)/(36165589708)*a^(4) + (7018655491867)/(578649435328)*a^(3) - (2668113096115)/(578649435328)*a^(2) + (10269039948)/(9041397427)*a - (61247657997)/(144662358832) , (55984860469)/(1157298870656)*a^(20) - (8847417263)/(72331179416)*a^(19) - (78366406115)/(289324717664)*a^(18) + (94586205003)/(144662358832)*a^(17) + (94267975449)/(1157298870656)*a^(16) - (58879832119)/(36165589708)*a^(15) + (47495410085)/(36165589708)*a^(14) + (296535077493)/(144662358832)*a^(13) - (767776510765)/(144662358832)*a^(12) + (3111103409)/(9041397427)*a^(11) + (1549189302641)/(144662358832)*a^(10) - (649646319205)/(144662358832)*a^(9) - (2116162921503)/(144662358832)*a^(8) + (436543789581)/(72331179416)*a^(7) + (1933482851545)/(144662358832)*a^(6) - (429233354709)/(144662358832)*a^(5) - (6966646160741)/(1157298870656)*a^(4) - (1472824249)/(18082794854)*a^(3) + (79756044051)/(289324717664)*a^(2) + (127959377307)/(72331179416)*a - (145589222425)/(1157298870656) , (99512973441)/(1157298870656)*a^(20) - (302722324513)/(1157298870656)*a^(19) - (376806790615)/(1157298870656)*a^(18) + (1606020582627)/(1157298870656)*a^(17) - (507199169487)/(578649435328)*a^(16) - (1648988284889)/(578649435328)*a^(15) + (2636552399185)/(578649435328)*a^(14) + (472755449139)/(578649435328)*a^(13) - (6877599018147)/(578649435328)*a^(12) + (4981376767183)/(578649435328)*a^(11) + (8757130585205)/(578649435328)*a^(10) - (13600648825681)/(578649435328)*a^(9) - (6961348706863)/(578649435328)*a^(8) + (16452205934651)/(578649435328)*a^(7) + (2221781600529)/(578649435328)*a^(6) - (12097830568133)/(578649435328)*a^(5) + (20480587745)/(1157298870656)*a^(4) + (5765033739335)/(1157298870656)*a^(3) - (893216980847)/(1157298870656)*a^(2) + (3482133593755)/(1157298870656)*a - (426409143305)/(144662358832) ], 3668230.07566, []]