/* 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^24 - 4*x^23 + 8*x^22 - 12*x^21 + 24*x^20 - 56*x^19 + 104*x^18 - 152*x^17 + 224*x^16 - 376*x^15 + 608*x^14 - 848*x^13 + 1156*x^12 - 1696*x^11 + 2432*x^10 - 3008*x^9 + 3584*x^8 - 4864*x^7 + 6656*x^6 - 7168*x^5 + 6144*x^4 - 6144*x^3 + 8192*x^2 - 8192*x + 4096, 24, 400, [0, 12], 2243572222946525052726785077149696, [2, 3, 23, 37], [1, a, a^2, a^3, a^4, a^5, 1/2*a^6, 1/2*a^7, 1/4*a^8 - 1/2*a^5 - 1/2*a^2, 1/8*a^9 - 1/4*a^6 + 1/4*a^3, 1/8*a^10 - 1/4*a^7 + 1/4*a^4, 1/8*a^11 - 1/4*a^5 - 1/2*a^2, 1/8*a^12 - 1/4*a^6 - 1/2*a^3, 1/16*a^13 - 1/8*a^7 - 1/4*a^4, 1/16*a^14 - 1/8*a^8 - 1/4*a^5, 1/16*a^15 + 1/4*a^3, 1/32*a^16 + 1/8*a^4, 1/64*a^17 + 1/16*a^5, 1/256*a^18 - 1/64*a^15 - 1/32*a^14 - 1/32*a^13 + 1/32*a^12 + 1/32*a^11 + 1/32*a^9 - 1/8*a^8 + 1/16*a^7 + 1/64*a^6 + 3/16*a^5 - 1/8*a^4 + 3/8*a^3 - 1/2, 1/512*a^19 - 1/128*a^16 + 1/64*a^15 + 1/64*a^14 + 1/64*a^13 + 1/64*a^12 + 1/64*a^10 - 1/32*a^8 - 31/128*a^7 + 7/32*a^6 - 3/16*a^5 + 3/16*a^4 + 1/4*a^3 + 1/4*a, 1/1024*a^20 - 1/256*a^17 + 1/128*a^16 + 1/128*a^15 + 1/128*a^14 + 1/128*a^13 + 1/128*a^11 - 1/16*a^10 - 1/64*a^9 - 31/256*a^8 + 15/64*a^7 - 3/32*a^6 + 3/32*a^5 - 1/2*a^4 + 1/8*a^2 - 1/2*a, 1/2048*a^21 - 1/512*a^18 + 1/256*a^17 + 1/256*a^16 + 1/256*a^15 + 1/256*a^14 + 1/256*a^12 - 1/32*a^11 + 7/128*a^10 - 31/512*a^9 + 15/128*a^8 + 5/64*a^7 + 3/64*a^6 - 1/4*a^5 - 3/8*a^4 - 7/16*a^3 + 1/4*a^2 - 1/2*a, 1/4096*a^22 - 1/1024*a^19 - 1/512*a^18 + 1/512*a^17 + 1/512*a^16 + 9/512*a^15 - 1/32*a^14 - 15/512*a^13 - 3/64*a^12 - 1/256*a^11 - 31/1024*a^10 + 7/256*a^9 + 5/128*a^8 - 21/128*a^7 - 9/64*a^6 - 1/8*a^5 - 11/32*a^4 + 1/4*a^3 + 1/4*a^2 - 1/2*a - 1/2, 1/1564672*a^23 - 69/782336*a^22 + 41/391168*a^21 - 149/391168*a^20 + 27/97792*a^19 - 367/195584*a^18 + 1059/195584*a^17 + 1707/195584*a^16 + 1773/97792*a^15 - 4587/195584*a^14 - 2817/97792*a^13 - 1519/97792*a^12 - 22871/391168*a^11 - 8079/195584*a^10 + 5117/97792*a^9 - 5627/48896*a^8 + 1559/24448*a^7 + 283/3056*a^6 - 5139/12224*a^5 + 1249/6112*a^4 - 777/3056*a^3 + 73/382*a^2 - 39/382*a + 67/382], 1, 2, [2], 1, [ (975)/(1564672)*a^(23) - (881)/(391168)*a^(22) + (1393)/(391168)*a^(21) - (879)/(391168)*a^(20) - (257)/(195584)*a^(19) - (655)/(195584)*a^(18) + (2271)/(195584)*a^(17) - (1577)/(195584)*a^(16) - (247)/(12224)*a^(15) + (6243)/(195584)*a^(14) - (2003)/(48896)*a^(13) + (6483)/(97792)*a^(12) - (56129)/(391168)*a^(11) + (4537)/(24448)*a^(10) - (21237)/(97792)*a^(9) + (22879)/(48896)*a^(8) - (25165)/(24448)*a^(7) + (15573)/(12224)*a^(6) - (13201)/(12224)*a^(5) + (2749)/(3056)*a^(4) - (6945)/(3056)*a^(3) + (1269)/(382)*a^(2) - (2133)/(764)*a - (94)/(191) , (89)/(48896)*a^(23) - (4093)/(391168)*a^(22) + (9617)/(391168)*a^(21) - (3139)/(97792)*a^(20) + (1585)/(48896)*a^(19) - (5953)/(97792)*a^(18) + (3599)/(24448)*a^(17) - (5609)/(24448)*a^(16) + (1399)/(6112)*a^(15) - (11495)/(48896)*a^(14) + (18883)/(48896)*a^(13) - (27867)/(48896)*a^(12) + (15025)/(24448)*a^(11) - (73337)/(97792)*a^(10) + (123493)/(97792)*a^(9) - (15097)/(12224)*a^(8) - (10459)/(24448)*a^(7) + (12725)/(6112)*a^(6) - (154)/(191)*a^(5) - (192)/(191)*a^(4) - (8565)/(3056)*a^(3) + (4489)/(382)*a^(2) - (10325)/(764)*a + (2299)/(382) , (105)/(1564672)*a^(23) + (293)/(391168)*a^(22) - (213)/(97792)*a^(21) + (17)/(391168)*a^(20) + (1277)/(195584)*a^(19) - (1863)/(195584)*a^(18) + (1561)/(195584)*a^(17) - (2979)/(195584)*a^(16) + (2835)/(48896)*a^(15) - (20943)/(195584)*a^(14) + (6913)/(48896)*a^(13) - (17009)/(97792)*a^(12) + (130441)/(391168)*a^(11) - (11659)/(24448)*a^(10) + (28269)/(48896)*a^(9) - (9377)/(12224)*a^(8) + (36107)/(24448)*a^(7) - (25345)/(12224)*a^(6) + (23855)/(12224)*a^(5) - (4047)/(3056)*a^(4) + (2285)/(764)*a^(3) - (6585)/(1528)*a^(2) + (3079)/(764)*a - (223)/(382) , (4835)/(1564672)*a^(23) - (3327)/(195584)*a^(22) + (3671)/(97792)*a^(21) - (17153)/(391168)*a^(20) + (8015)/(195584)*a^(19) - (18009)/(195584)*a^(18) + (44631)/(195584)*a^(17) - (65469)/(195584)*a^(16) + (3843)/(12224)*a^(15) - (64165)/(195584)*a^(14) + (13899)/(24448)*a^(13) - (79107)/(97792)*a^(12) + (322483)/(391168)*a^(11) - (108097)/(97792)*a^(10) + (94109)/(48896)*a^(9) - (38739)/(24448)*a^(8) - (14923)/(12224)*a^(7) + (40225)/(12224)*a^(6) - (7515)/(12224)*a^(5) - (5887)/(3056)*a^(4) - (4015)/(764)*a^(3) + (27643)/(1528)*a^(2) - (3653)/(191)*a + (3065)/(382) , (1459)/(1564672)*a^(23) - (3643)/(782336)*a^(22) + (4811)/(391168)*a^(21) - (10347)/(391168)*a^(20) + (4631)/(97792)*a^(19) - (16697)/(195584)*a^(18) + (29305)/(195584)*a^(17) - (50551)/(195584)*a^(16) + (40395)/(97792)*a^(15) - (125089)/(195584)*a^(14) + (89705)/(97792)*a^(13) - (128973)/(97792)*a^(12) + (723947)/(391168)*a^(11) - (517497)/(195584)*a^(10) + (352863)/(97792)*a^(9) - (235543)/(48896)*a^(8) + (143021)/(24448)*a^(7) - (86321)/(12224)*a^(6) + (96359)/(12224)*a^(5) - (56385)/(6112)*a^(4) + (30311)/(3056)*a^(3) - (7591)/(764)*a^(2) + (2691)/(382)*a - (688)/(191) , (2095)/(782336)*a^(23) - (4361)/(391168)*a^(22) + (4529)/(195584)*a^(21) - (891)/(24448)*a^(20) + (3085)/(48896)*a^(19) - (12123)/(97792)*a^(18) + (21723)/(97792)*a^(17) - (32971)/(97792)*a^(16) + (24315)/(48896)*a^(15) - (72753)/(97792)*a^(14) + (53001)/(48896)*a^(13) - (72061)/(48896)*a^(12) + (399087)/(195584)*a^(11) - (289023)/(97792)*a^(10) + (197925)/(48896)*a^(9) - (232919)/(48896)*a^(8) + (64181)/(12224)*a^(7) - (76423)/(12224)*a^(6) + (11815)/(1528)*a^(5) - (24875)/(3056)*a^(4) + (1299)/(191)*a^(3) - (6369)/(1528)*a^(2) + (425)/(191)*a - (231)/(382) , (2133)/(1564672)*a^(23) - (1635)/(782336)*a^(22) + (137)/(97792)*a^(21) + (7)/(391168)*a^(20) + (27)/(3056)*a^(19) - (4677)/(195584)*a^(18) + (5047)/(195584)*a^(17) - (3249)/(195584)*a^(16) + (3829)/(97792)*a^(15) - (22443)/(195584)*a^(14) + (16625)/(97792)*a^(13) - (18621)/(97792)*a^(12) + (109101)/(391168)*a^(11) - (97133)/(195584)*a^(10) + (15151)/(24448)*a^(9) - (25545)/(48896)*a^(8) + (21047)/(24448)*a^(7) - (21649)/(12224)*a^(6) + (28653)/(12224)*a^(5) - (8737)/(6112)*a^(4) + (1129)/(1528)*a^(3) - (2395)/(764)*a^(2) + (1095)/(191)*a - (1867)/(382) , (2305)/(782336)*a^(23) - (3189)/(391168)*a^(22) + (3549)/(391168)*a^(21) + (29)/(6112)*a^(20) - (1399)/(97792)*a^(19) + (1)/(24448)*a^(18) + (1543)/(97792)*a^(17) + (5001)/(97792)*a^(16) - (4615)/(24448)*a^(15) + (27847)/(97792)*a^(14) - (17139)/(48896)*a^(13) + (893)/(1528)*a^(12) - (186543)/(195584)*a^(11) + (118061)/(97792)*a^(10) - (159379)/(97792)*a^(9) + (156433)/(48896)*a^(8) - (128883)/(24448)*a^(7) + (17481)/(3056)*a^(6) - (13635)/(3056)*a^(5) + (9169)/(1528)*a^(4) - (35673)/(3056)*a^(3) + (22299)/(1528)*a^(2) - (7185)/(764)*a + (405)/(382) , (2365)/(1564672)*a^(23) - (1307)/(195584)*a^(22) + (6431)/(391168)*a^(21) - (10495)/(391168)*a^(20) + (7571)/(195584)*a^(19) - (13421)/(195584)*a^(18) + (26501)/(195584)*a^(17) - (43087)/(195584)*a^(16) + (14959)/(48896)*a^(15) - (78911)/(195584)*a^(14) + (14437)/(24448)*a^(13) - (81855)/(97792)*a^(12) + (445933)/(391168)*a^(11) - (150583)/(97792)*a^(10) + (212337)/(97792)*a^(9) - (16083)/(6112)*a^(8) + (63001)/(24448)*a^(7) - (13881)/(6112)*a^(6) + (33975)/(12224)*a^(5) - (5999)/(1528)*a^(4) + (9747)/(3056)*a^(3) + (879)/(1528)*a^(2) - (2829)/(764)*a + (1453)/(382) , (1825)/(1564672)*a^(23) - (4831)/(782336)*a^(22) + (8357)/(391168)*a^(21) - (18659)/(391168)*a^(20) + (8401)/(97792)*a^(19) - (27251)/(195584)*a^(18) + (48651)/(195584)*a^(17) - (86649)/(195584)*a^(16) + (70855)/(97792)*a^(15) - (207171)/(195584)*a^(14) + (148529)/(97792)*a^(13) - (214303)/(97792)*a^(12) + (1221673)/(391168)*a^(11) - (843577)/(195584)*a^(10) + (578501)/(97792)*a^(9) - (196619)/(24448)*a^(8) + (30923)/(3056)*a^(7) - (68547)/(6112)*a^(6) + (148787)/(12224)*a^(5) - (88211)/(6112)*a^(4) + (51911)/(3056)*a^(3) - (23483)/(1528)*a^(2) + (6821)/(764)*a - (729)/(382) , (139)/(195584)*a^(23) - (4339)/(782336)*a^(22) + (3887)/(195584)*a^(21) - (4559)/(97792)*a^(20) + (16691)/(195584)*a^(19) - (14389)/(97792)*a^(18) + (25545)/(97792)*a^(17) - (45827)/(97792)*a^(16) + (75137)/(97792)*a^(15) - (1757)/(1528)*a^(14) + (162437)/(97792)*a^(13) - (58809)/(24448)*a^(12) + (83721)/(24448)*a^(11) - (938355)/(195584)*a^(10) + (161353)/(24448)*a^(9) - (109841)/(12224)*a^(8) + (278379)/(24448)*a^(7) - (80937)/(6112)*a^(6) + (22557)/(1528)*a^(5) - (104923)/(6112)*a^(4) + (14913)/(764)*a^(3) - (7257)/(382)*a^(2) + (4955)/(382)*a - (948)/(191) ], 25169728.518406376, [[x^2 - x + 1, 1], [x^2 - 3, 1], [x^2 + 1, 1], [x^3 - x^2 - 3*x + 1, 1], [x^4 - x^2 + 1, 1], [x^6 - 2*x^5 - 10*x^4 + 6*x^3 + 12*x^2 - 4*x - 2, 1], [x^6 - 3*x^5 + 9*x^4 - 13*x^3 + 14*x^2 - 8*x + 2, 1], [x^6 - x^5 + 4*x^4 + x^3 + 10*x^2 - 3*x + 1, 1], [x^6 - 2*x^5 - 7*x^4 + 14*x^3 + 7*x^2 - 16*x + 5, 1], [x^6 - 2*x^5 + 17*x^4 - 30*x^3 + 111*x^2 - 148*x + 313, 1], [x^6 - 2*x^5 + 2*x^4 + 2*x^3 + 4*x^2 - 4*x + 2, 1], [x^6 - x^5 - 12*x^4 + 15*x^3 + 32*x^2 - 53*x + 19, 1], [x^12 - 4*x^11 + 8*x^10 - 4*x^9 + 64*x^8 - 256*x^7 + 520*x^6 - 248*x^5 + 32*x^4 - 72*x^3 + 512*x^2 - 64*x + 4, 1], [x^12 - 4*x^11 + 8*x^10 - 14*x^9 + 80*x^8 - 168*x^7 + 78*x^6 + 336*x^5 + 320*x^4 + 112*x^3 + 128*x^2 + 128*x + 64, 1], [x^12 - 2*x^11 + 11*x^10 - 14*x^9 + 70*x^8 - 86*x^7 + 223*x^6 - 136*x^5 + 308*x^4 - 252*x^3 + 221*x^2 - 80*x + 25, 1], [x^12 - 2*x^11 + 2*x^10 - 8*x^9 + 4*x^8 + 16*x^7 - 8*x^6 + 20*x^5 + 20*x^4 - 24*x^3 + 8*x^2 - 8*x + 4, 1], [x^12 - 4*x^11 + 8*x^10 - 10*x^9 + 24*x^7 - 46*x^6 + 48*x^5 - 80*x^3 + 128*x^2 - 128*x + 64, 1], [x^12 - 15*x^10 + 70*x^8 - 127*x^6 + 94*x^4 - 23*x^2 + 1, 1], [x^12 - 3*x^11 - x^9 + 28*x^8 - 41*x^7 + 23*x^6 - 44*x^5 + 74*x^4 - 60*x^3 + 36*x^2 - 16*x + 4, 1]]]