/* 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 + 7*x^22 + 35*x^20 + 154*x^18 + 637*x^16 + 1666*x^14 + 3822*x^12 + 7889*x^10 + 13377*x^8 + 9947*x^6 + 7203*x^4 + 4802*x^2 + 2401, 24, 2, [0, 12], 5106705043047168064000000000000000000, [2, 5, 7], [1, a, a^2, a^3, a^4, a^5, 1/7*a^6, 1/7*a^7, 1/7*a^8, 1/7*a^9, 1/7*a^10, 1/7*a^11, 1/49*a^12, 1/49*a^13, 1/49*a^14, 1/49*a^15, 1/49*a^16, 1/49*a^17, 1/998473*a^18 - 661/142639*a^16 - 1014/142639*a^14 - 754/142639*a^12 + 613/20377*a^10 + 928/20377*a^8 - 131/20377*a^6 - 739/2911*a^4 - 1072/2911*a^2 - 200/2911, 1/998473*a^19 - 661/142639*a^17 - 1014/142639*a^15 - 754/142639*a^13 + 613/20377*a^11 + 928/20377*a^9 - 131/20377*a^7 - 739/2911*a^5 - 1072/2911*a^3 - 200/2911*a, 1/998473*a^20 - 946/20377*a^10 + 298/2911, 1/998473*a^21 - 946/20377*a^11 + 298/2911*a, 1/998473*a^22 - 800/142639*a^12 + 298/2911*a^2, 1/998473*a^23 - 800/142639*a^13 + 298/2911*a^3], 1, 26, [26], 1, [ (13)/(998473)*a^(22) - (1667)/(142639)*a^(12) + (3874)/(2911)*a^(2) + 1 , (26)/(998473)*a^(22) - (3334)/(142639)*a^(12) + (4837)/(2911)*a^(2) , (116)/(998473)*a^(22) + (580)/(998473)*a^(20) + (2552)/(998473)*a^(18) + (1508)/(142639)*a^(16) + (5973)/(142639)*a^(14) + (9048)/(142639)*a^(12) + (2668)/(20377)*a^(10) + (4524)/(20377)*a^(8) + (3364)/(20377)*a^(6) - (2511)/(2911)*a^(4) + (232)/(2911)*a^(2) + (116)/(2911) , (298)/(998473)*a^(22) + (30)/(14063)*a^(20) + (10907)/(998473)*a^(18) + (6842)/(142639)*a^(16) + (4043)/(20377)*a^(14) + (75685)/(142639)*a^(12) + (25055)/(20377)*a^(10) + (49636)/(20377)*a^(8) + (12129)/(2911)*a^(6) + (9019)/(2911)*a^(4) + (2657)/(2911)*a^(2) - (919)/(2911) , (583)/(998473)*a^(22) + (3874)/(998473)*a^(20) + (2682)/(142639)*a^(18) + (11623)/(142639)*a^(16) + (47680)/(142639)*a^(14) + (116397)/(142639)*a^(12) + (36356)/(20377)*a^(10) + (72712)/(20377)*a^(8) + (113930)/(20377)*a^(6) + (5662)/(2911)*a^(4) - (825)/(2911) , (458)/(998473)*a^(23) + (4)/(998473)*a^(22) + (2977)/(998473)*a^(21) + (2061)/(142639)*a^(19) + (8922)/(142639)*a^(17) + (36640)/(142639)*a^(15) + (12595)/(20377)*a^(13) - (289)/(142639)*a^(12) + (27938)/(20377)*a^(11) + (55876)/(20377)*a^(9) + (89543)/(20377)*a^(7) + (4351)/(2911)*a^(5) + (2977)/(2911)*a^(3) - (1719)/(2911)*a^(2) + (1603)/(2911)*a , (39)/(998473)*a^(23) - (704)/(998473)*a^(22) - (704)/(142639)*a^(20) - (24643)/(998473)*a^(18) - (15488)/(142639)*a^(16) - (9152)/(20377)*a^(14) - (5001)/(142639)*a^(13) - (23936)/(20377)*a^(12) - (54912)/(20377)*a^(10) - (113417)/(20377)*a^(8) - (27456)/(2911)*a^(6) - (20416)/(2911)*a^(4) + (8711)/(2911)*a^(3) - (14784)/(2911)*a^(2) - (9856)/(2911) , (345)/(998473)*a^(23) + (1725)/(998473)*a^(21) + (25)/(998473)*a^(20) + (7590)/(998473)*a^(19) + (4485)/(142639)*a^(17) + (17890)/(142639)*a^(15) + (26910)/(142639)*a^(13) + (7935)/(20377)*a^(11) - (362)/(20377)*a^(10) + (13455)/(20377)*a^(9) + (10005)/(20377)*a^(7) - (8246)/(2911)*a^(5) + (690)/(2911)*a^(3) + (345)/(2911)*a - (1283)/(2911) , (872)/(998473)*a^(23) + (3)/(20377)*a^(22) + (5668)/(998473)*a^(21) + (800)/(998473)*a^(20) + (3924)/(142639)*a^(19) + (3520)/(998473)*a^(18) + (17025)/(142639)*a^(17) + (2080)/(142639)*a^(16) + (69760)/(142639)*a^(15) + (8339)/(142639)*a^(14) + (23980)/(20377)*a^(13) + (2021)/(20377)*a^(12) + (53192)/(20377)*a^(11) + (3680)/(20377)*a^(10) + (106384)/(20377)*a^(9) + (6240)/(20377)*a^(8) + (165615)/(20377)*a^(7) + (4640)/(20377)*a^(6) + (8284)/(2911)*a^(5) - (4668)/(2911)*a^(4) + (5668)/(2911)*a^(3) - (3554)/(2911)*a^(2) + (3052)/(2911)*a - (2751)/(2911) , (39)/(998473)*a^(23) + (3)/(20377)*a^(22) + (800)/(998473)*a^(20) + (3520)/(998473)*a^(18) + (2080)/(142639)*a^(16) + (8339)/(142639)*a^(14) - (5001)/(142639)*a^(13) + (2021)/(20377)*a^(12) + (3680)/(20377)*a^(10) + (6240)/(20377)*a^(8) + (4640)/(20377)*a^(6) - (4668)/(2911)*a^(4) + (8711)/(2911)*a^(3) - (3554)/(2911)*a^(2) + (160)/(2911) , (458)/(998473)*a^(23) - (3)/(20377)*a^(22) + (2977)/(998473)*a^(21) - (800)/(998473)*a^(20) + (2061)/(142639)*a^(19) - (3520)/(998473)*a^(18) + (8922)/(142639)*a^(17) - (2080)/(142639)*a^(16) + (36640)/(142639)*a^(15) - (8339)/(142639)*a^(14) + (12595)/(20377)*a^(13) - (2021)/(20377)*a^(12) + (27938)/(20377)*a^(11) - (3680)/(20377)*a^(10) + (55876)/(20377)*a^(9) - (6240)/(20377)*a^(8) + (89543)/(20377)*a^(7) - (4640)/(20377)*a^(6) + (4351)/(2911)*a^(5) + (4668)/(2911)*a^(4) + (2977)/(2911)*a^(3) + (3554)/(2911)*a^(2) + (1603)/(2911)*a + (2751)/(2911) ], 24838443.50460296, [[x^2 - 35, 1], [x^2 - x - 1, 1], [x^2 - 7, 1], [x^3 - x^2 - 2*x + 1, 1], [x^4 - 2*x^3 - 15*x^2 + 16*x + 29, 1], [x^4 + 35*x^2 + 245, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^6 - 35*x^4 + 350*x^2 - 875, 1], [x^6 - x^5 - 7*x^4 + 2*x^3 + 7*x^2 - 2*x - 1, 1], [x^6 - 7*x^4 + 14*x^2 - 7, 1], [x^8 + 7*x^6 + 49*x^4 + 343*x^2 + 2401, 1], [x^12 - 21*x^10 + 147*x^8 - 420*x^6 + 539*x^4 - 294*x^2 + 49, 1], [x^12 + 35*x^10 + 455*x^8 + 2800*x^6 + 8575*x^4 + 12250*x^2 + 6125, 1], [x^12 - x^11 + 3*x^10 - 4*x^9 + 9*x^8 + 2*x^7 + 12*x^6 + x^5 + 25*x^4 - 11*x^3 + 5*x^2 - 2*x + 1, 1]]]