/* 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 + 9*x^22 + 42*x^20 + 139*x^18 + 376*x^16 + 896*x^14 + 1905*x^12 + 3584*x^10 + 6016*x^8 + 8896*x^6 + 10752*x^4 + 9216*x^2 + 4096, 24, 135, [0, 12], 1041229780068396944496497143054336, [2, 7, 167], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/2*a^9 - 1/2*a^7 - 1/2*a^5 - 1/2*a, 1/4*a^10 - 1/4*a^8 - 1/4*a^6 - 1/2*a^4 + 1/4*a^2, 1/4*a^11 - 1/4*a^9 - 1/4*a^7 - 1/2*a^5 + 1/4*a^3, 1/4*a^12 - 1/2*a^8 + 1/4*a^6 - 1/4*a^4 + 1/4*a^2, 1/8*a^13 - 1/4*a^9 - 3/8*a^7 + 3/8*a^5 + 1/8*a^3 - 1/2*a, 1/16*a^14 - 1/8*a^10 - 3/16*a^8 - 5/16*a^6 + 1/16*a^4 + 1/4*a^2, 1/16*a^15 - 1/8*a^11 - 3/16*a^9 - 5/16*a^7 + 1/16*a^5 + 1/4*a^3, 1/16*a^16 - 1/8*a^12 + 1/16*a^10 + 7/16*a^8 - 3/16*a^6 - 1/4*a^4 + 1/4*a^2, 1/32*a^17 - 1/32*a^15 - 1/16*a^13 - 1/32*a^11 - 1/16*a^9 + 3/16*a^7 - 13/32*a^5 + 3/8*a^3, 1/64*a^18 + 1/64*a^16 - 1/32*a^14 - 5/64*a^12 - 1/8*a^10 + 7/16*a^8 + 21/64*a^6 - 3/16*a^4, 1/128*a^19 + 1/128*a^17 + 1/64*a^15 - 5/128*a^13 + 49/128*a^7 - 5/16*a^5 - 1/4*a^3, 1/1024*a^20 + 1/1024*a^18 + 9/512*a^16 - 21/1024*a^14 - 3/64*a^10 - 15/1024*a^8 + 47/128*a^6 - 5/64*a^4 - 1/16*a^2 + 1/4, 1/2048*a^21 + 1/2048*a^19 + 9/1024*a^17 - 21/2048*a^15 + 13/128*a^11 - 271/2048*a^9 + 15/256*a^7 + 27/128*a^5 + 3/32*a^3 - 3/8*a, 1/1851392*a^22 - 667/1851392*a^20 - 5957/925696*a^18 - 45837/1851392*a^16 - 6157/462848*a^14 - 819/115712*a^12 - 165327/1851392*a^10 + 228135/462848*a^8 - 7879/115712*a^6 + 4117/14464*a^4 + 77/226*a^2 - 567/1808, 1/3702784*a^23 - 667/3702784*a^21 - 5957/1851392*a^19 - 45837/3702784*a^17 - 6157/925696*a^15 - 819/231424*a^13 + 297521/3702784*a^11 + 112423/925696*a^9 + 78905/231424*a^7 + 11349/28928*a^5 + 267/904*a^3 - 567/3616*a], 1, 4, [4], 1, [ (6757)/(1851392)*a^(22) + (61897)/(1851392)*a^(20) + (145599)/(925696)*a^(18) + (904639)/(1851392)*a^(16) + (583667)/(462848)*a^(14) + (340209)/(115712)*a^(12) + (11279957)/(1851392)*a^(10) + (5047647)/(462848)*a^(8) + (2027637)/(115712)*a^(6) + (359795)/(14464)*a^(4) + (48773)/(1808)*a^(2) + (28409)/(1808) , (10997)/(1851392)*a^(22) + (70569)/(1851392)*a^(20) + (128503)/(925696)*a^(18) + (724111)/(1851392)*a^(16) + (445839)/(462848)*a^(14) + (246801)/(115712)*a^(12) + (7602917)/(1851392)*a^(10) + (3259731)/(462848)*a^(8) + (1263213)/(115712)*a^(6) + (200305)/(14464)*a^(4) + (2659)/(226)*a^(2) + (7725)/(1808) , (2121)/(3702784)*a^(23) - (6275)/(3702784)*a^(21) - (41173)/(1851392)*a^(19) - (300629)/(3702784)*a^(17) - (203665)/(925696)*a^(15) - (127979)/(231424)*a^(13) - (4592903)/(3702784)*a^(11) - (2190645)/(925696)*a^(9) - (901303)/(231424)*a^(7) - (178345)/(28928)*a^(5) - (27203)/(3616)*a^(3) - (17011)/(3616)*a - 1 , (153)/(1851392)*a^(23) + (1909)/(1851392)*a^(21) + (8399)/(925696)*a^(19) + (65259)/(1851392)*a^(17) + (45373)/(462848)*a^(15) + (26565)/(115712)*a^(13) + (957129)/(1851392)*a^(11) + (466549)/(462848)*a^(9) + (196165)/(115712)*a^(7) + (18043)/(7232)*a^(5) + (12329)/(3616)*a^(3) + (5231)/(1808)*a - 1 , (5449)/(3702784)*a^(23) + (23101)/(3702784)*a^(21) + (32779)/(1851392)*a^(19) + (168491)/(3702784)*a^(17) + (99647)/(925696)*a^(15) + (50037)/(231424)*a^(13) + (1426425)/(3702784)*a^(11) + (588091)/(925696)*a^(9) + (207113)/(231424)*a^(7) + (27215)/(28928)*a^(5) + (1953)/(3616)*a^(3) + (1645)/(3616)*a - 1 , (4061)/(1851392)*a^(22) + (6929)/(1851392)*a^(20) - (23841)/(925696)*a^(18) - (231033)/(1851392)*a^(16) - (164369)/(462848)*a^(14) - (109527)/(115712)*a^(12) - (4255411)/(1851392)*a^(10) - (2104541)/(462848)*a^(8) - (888171)/(115712)*a^(6) - (182499)/(14464)*a^(4) - (15377)/(904)*a^(2) - (19987)/(1808) , (1387)/(462848)*a^(22) + (11867)/(462848)*a^(20) + (23931)/(231424)*a^(18) + (138905)/(462848)*a^(16) + (21637)/(28928)*a^(14) + (49191)/(28928)*a^(12) + (1544123)/(462848)*a^(10) + (333955)/(57856)*a^(8) + (264025)/(28928)*a^(6) + (86545)/(7232)*a^(4) + (19319)/(1808)*a^(2) + (380)/(113) , (7085)/(3702784)*a^(23) + (4613)/(1851392)*a^(22) + (79969)/(3702784)*a^(21) + (31081)/(1851392)*a^(20) + (175983)/(1851392)*a^(19) + (51679)/(925696)*a^(18) + (1039223)/(3702784)*a^(17) + (245407)/(1851392)*a^(16) + (661903)/(925696)*a^(15) + (148339)/(462848)*a^(14) + (380745)/(231424)*a^(13) + (76609)/(115712)*a^(12) + (12334109)/(3702784)*a^(11) + (2173941)/(1851392)*a^(10) + (5423843)/(925696)*a^(9) + (828191)/(462848)*a^(8) + (2139957)/(231424)*a^(7) + (277925)/(115712)*a^(6) + (369765)/(28928)*a^(5) + (36875)/(14464)*a^(4) + (22863)/(1808)*a^(3) - (455)/(1808)*a^(2) + (20973)/(3616)*a - (5271)/(1808) , (12637)/(1851392)*a^(23) + (14655)/(1851392)*a^(22) + (101265)/(1851392)*a^(21) + (96795)/(1851392)*a^(20) + (207199)/(925696)*a^(19) + (167589)/(925696)*a^(18) + (1219847)/(1851392)*a^(17) + (907085)/(1851392)*a^(16) + (774191)/(462848)*a^(15) + (557885)/(462848)*a^(14) + (440441)/(115712)*a^(13) + (302803)/(115712)*a^(12) + (14059725)/(1851392)*a^(11) + (9167631)/(1851392)*a^(10) + (6174435)/(462848)*a^(9) + (3821289)/(462848)*a^(8) + (2427781)/(115712)*a^(7) + (1445767)/(115712)*a^(6) + (410841)/(14464)*a^(5) + (218635)/(14464)*a^(4) + (6221)/(226)*a^(3) + (4667)/(452)*a^(2) + (24333)/(1808)*a + (3799)/(1808) , (1745)/(1851392)*a^(23) - (15491)/(1851392)*a^(22) + (14901)/(1851392)*a^(21) - (88815)/(1851392)*a^(20) + (22731)/(925696)*a^(19) - (148689)/(925696)*a^(18) + (116067)/(1851392)*a^(17) - (830169)/(1851392)*a^(16) + (69683)/(462848)*a^(15) - (509193)/(462848)*a^(14) + (36229)/(115712)*a^(13) - (276231)/(115712)*a^(12) + (1015809)/(1851392)*a^(11) - (8420115)/(1851392)*a^(10) + (398855)/(462848)*a^(9) - (3581189)/(462848)*a^(8) + (132065)/(115712)*a^(7) - (1374955)/(115712)*a^(6) + (17253)/(14464)*a^(5) - (208975)/(14464)*a^(4) - (307)/(904)*a^(3) - (5269)/(452)*a^(2) - (2247)/(1808)*a - (12523)/(1808) , (11901)/(1851392)*a^(23) + (8877)/(925696)*a^(22) + (78705)/(1851392)*a^(21) + (66233)/(925696)*a^(20) + (147487)/(925696)*a^(19) + (137051)/(462848)*a^(18) + (849767)/(1851392)*a^(17) + (814375)/(925696)*a^(16) + (530815)/(462848)*a^(15) + (514753)/(231424)*a^(14) + (297425)/(115712)*a^(13) + (293505)/(57856)*a^(12) + (9325037)/(1851392)*a^(11) + (9441437)/(925696)*a^(10) + (4069715)/(462848)*a^(9) + (4153689)/(231424)*a^(8) + (1603117)/(115712)*a^(7) + (1645425)/(57856)*a^(6) + (263133)/(14464)*a^(5) + (140025)/(3616)*a^(4) + (7691)/(452)*a^(3) + (70045)/(1808)*a^(2) + (17669)/(1808)*a + (18067)/(904) ], 18217606.15517919, [[x^2 - 7, 1], [x^2 + 1, 1], [x^2 - x + 2, 1], [x^3 - x^2 - 2*x + 1, 1], [x^4 - 3*x^2 + 4, 1], [x^6 - 2*x^5 + 5*x^4 - 7*x^3 + 10*x^2 - 8*x + 8, 1], [x^6 + 35*x^4 + 371*x^2 + 1169, 1], [x^6 - 18*x^4 + 101*x^2 - 167, 1], [x^6 - 3*x^5 - 5*x^4 + 15*x^3 + 11*x^2 - 19*x - 13, 1], [x^6 - 7*x^4 + 14*x^2 - 7, 1], [x^6 + 5*x^4 + 6*x^2 + 1, 1], [x^6 - x^5 + x^4 - x^3 + x^2 - x + 1, 1], [x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1, 1], [x^12 - 4*x^11 + 8*x^9 + 31*x^8 - 98*x^7 + 162*x^6 - 42*x^5 + 600*x^4 - 384*x^3 + 672*x^2 + 642*x + 1933, 1], [x^12 - 15*x^10 + 78*x^8 - 169*x^6 + 148*x^4 - 36*x^2 + 1, 1], [x^12 - 6*x^10 + 17*x^8 - 35*x^6 + 68*x^4 - 96*x^2 + 64, 1], [x^12 + 19*x^10 + 137*x^8 + 475*x^6 + 821*x^4 + 647*x^2 + 169, 1], [x^12 + 13*x^10 + 106*x^8 + 531*x^6 + 1016*x^4 - 3340*x^2 + 27889, 1], [x^12 - 3*x^11 + 13*x^9 - 18*x^8 - 14*x^7 + 57*x^6 - 28*x^5 - 72*x^4 + 104*x^3 - 96*x + 64, 1]]]