/* 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^28 - x^27 + 30*x^26 - 30*x^25 + 407*x^24 - 407*x^23 + 3307*x^22 - 3307*x^21 + 17981*x^20 - 17981*x^19 + 69340*x^18 - 69340*x^17 + 196621*x^16 - 196621*x^15 + 421429*x^14 - 421429*x^13 + 702439*x^12 - 702439*x^11 + 945981*x^10 - 945981*x^9 + 1086979*x^8 - 1086979*x^7 + 1138251*x^6 - 1138251*x^5 + 1148807*x^4 - 1148807*x^3 + 1149822*x^2 - 1149822*x + 1149851, 28, 1, [0, 14], 18634854406558377293367533932433545897882080078125, [5, 29], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, 1/514229*a^15 - 196418/514229*a^14 + 15/514229*a^13 - 178707/514229*a^12 + 90/514229*a^11 - 211545/514229*a^10 + 275/514229*a^9 - 109460/514229*a^8 + 450/514229*a^7 - 153244/514229*a^6 + 378/514229*a^5 + 69247/514229*a^4 + 140/514229*a^3 + 145869/514229*a^2 + 15/514229*a + 121393/514229, 1/514229*a^16 + 16/514229*a^14 + 196418/514229*a^13 + 104/514229*a^12 - 17711/514229*a^11 + 352/514229*a^10 - 88555/514229*a^9 + 660/514229*a^8 - 212532/514229*a^7 + 672/514229*a^6 - 247954/514229*a^5 + 336/514229*a^4 - 123977/514229*a^3 + 64/514229*a^2 - 17711/514229*a + 2/514229, 1/514229*a^17 + 253732/514229*a^14 - 136/514229*a^13 - 243773/514229*a^12 - 1088/514229*a^11 + 210791/514229*a^10 - 3740/514229*a^9 - 3859/514229*a^8 - 6528/514229*a^7 + 147034/514229*a^6 - 5712/514229*a^5 - 203471/514229*a^4 - 2176/514229*a^3 + 219530/514229*a^2 - 238/514229*a + 114628/514229, 1/514229*a^18 - 153/514229*a^14 + 64079/514229*a^13 - 1326/514229*a^12 + 987/514229*a^11 - 5049/514229*a^10 + 154985/514229*a^9 - 10098/514229*a^8 + 126472/514229*a^7 - 10710/514229*a^6 + 46656/514229*a^5 - 5508/514229*a^4 + 178851/514229*a^3 - 1071/514229*a^2 - 91749/514229*a - 34/514229, 1/514229*a^19 - 162593/514229*a^14 + 969/514229*a^13 - 87047/514229*a^12 + 8721/514229*a^11 + 185027/514229*a^10 + 31977/514229*a^9 - 165580/514229*a^8 + 58140/514229*a^7 + 254858/514229*a^6 + 52326/514229*a^5 - 25167/514229*a^4 + 20349/514229*a^3 + 114361/514229*a^2 + 2261/514229*a + 60885/514229, 1/514229*a^20 + 1140/514229*a^14 - 219297/514229*a^13 + 11115/514229*a^12 - 94244/514229*a^11 + 45144/514229*a^10 - 190428/514229*a^9 + 94050/514229*a^8 - 113039/514229*a^7 + 102600/514229*a^6 + 241736/514229*a^5 + 53865/514229*a^4 + 251305/514229*a^3 + 10640/514229*a^2 - 71365/514229*a + 342/514229, 1/514229*a^21 + 7608/514229*a^14 - 5985/514229*a^13 - 2948/514229*a^12 - 57456/514229*a^11 - 202529/514229*a^10 - 219450/514229*a^9 + 227943/514229*a^8 + 103829/514229*a^7 + 102036/514229*a^6 + 137174/514229*a^5 - 13238/514229*a^4 - 148960/514229*a^3 + 248171/514229*a^2 - 16758/514229*a - 60419/514229, 1/514229*a^22 - 7315/514229*a^14 - 117068/514229*a^13 - 76076/514229*a^12 + 141209/514229*a^11 + 192369/514229*a^10 + 192659/514229*a^9 - 175471/514229*a^8 - 236190/514229*a^7 - 253846/514229*a^6 + 196312/514229*a^5 + 104589/514229*a^4 + 211509/514229*a^3 - 81928/514229*a^2 - 174539/514229*a - 2660/514229, 1/514229*a^23 - 158912/514229*a^14 + 33649/514229*a^13 + 69622/514229*a^12 - 177739/514229*a^11 + 56045/514229*a^10 - 220762/514229*a^9 + 232692/514229*a^8 - 47470/514229*a^7 + 235672/514229*a^6 - 215715/514229*a^5 + 237749/514229*a^4 - 86286/514229*a^3 - 167979/514229*a^2 + 107065/514229*a - 83688/514229, 1/514229*a^24 + 42504/514229*a^14 - 117843/514229*a^13 - 53769/514229*a^12 - 40287/514229*a^11 - 53156/514229*a^10 + 224027/514229*a^9 - 244836/514229*a^8 - 245988/514229*a^7 - 183490/514229*a^6 + 141692/514229*a^5 + 106607/514229*a^4 - 32146/514229*a^3 + 26731/514229*a^2 + 243076/514229*a + 17710/514229, 1/514229*a^25 - 74986/514229*a^14 - 177100/514229*a^13 + 45482/514229*a^12 + 235316/514229*a^11 - 75587/514229*a^10 - 106169/514229*a^9 + 12089/514229*a^8 + 230412/514229*a^7 - 114075/514229*a^6 - 18806/514229*a^5 + 140162/514229*a^4 + 246919/514229*a^3 - 228076/514229*a^2 - 105621/514229*a + 85714/514229, 1/514229*a^26 - 230230/514229*a^14 + 141814/514229*a^13 + 5725/514229*a^12 - 11824/514229*a^11 - 83347/514229*a^10 + 64079/514229*a^9 - 128079/514229*a^8 + 204740/514229*a^7 - 212156/514229*a^6 + 202275/514229*a^5 + 118019/514229*a^4 - 14616/514229*a^3 - 137846/514229*a^2 + 182046/514229*a - 106260/514229, 1/514229*a^27 + 123934/514229*a^14 - 140428/514229*a^13 + 252085/514229*a^12 + 68193/514229*a^11 + 230006/514229*a^10 - 64996/514229*a^9 + 49543/514229*a^8 + 31315/514229*a^7 + 87845/514229*a^6 + 240258/514229*a^5 + 80507/514229*a^4 + 212156/514229*a^3 - 179845/514229*a^2 - 252413/514229*a - 35760/514229], 1, 24224, [2, 2, 2, 2, 1514], 1, [ (89)/(514229)*a^(18) + (1602)/(514229)*a^(16) + (12015)/(514229)*a^(14) + (48594)/(514229)*a^(12) - (2584)/(514229)*a^(11) + (114543)/(514229)*a^(10) - (28424)/(514229)*a^(9) + (158598)/(514229)*a^(8) - (113696)/(514229)*a^(7) + (123354)/(514229)*a^(6) - (198968)/(514229)*a^(5) + (48060)/(514229)*a^(4) - (142120)/(514229)*a^(3) + (7209)/(514229)*a^(2) - (28424)/(514229)*a + (178)/(514229) , (13)/(514229)*a^(22) + (286)/(514229)*a^(20) + (2717)/(514229)*a^(18) + (14586)/(514229)*a^(16) + (48620)/(514229)*a^(14) + (104104)/(514229)*a^(12) + (143143)/(514229)*a^(10) + (122694)/(514229)*a^(8) - (17711)/(514229)*a^(7) + (61347)/(514229)*a^(6) - (123977)/(514229)*a^(5) + (15730)/(514229)*a^(4) - (247954)/(514229)*a^(3) + (1573)/(514229)*a^(2) - (123977)/(514229)*a + (26)/(514229) , (8)/(514229)*a^(23) + (184)/(514229)*a^(21) + (1840)/(514229)*a^(19) + (10488)/(514229)*a^(17) + (37536)/(514229)*a^(15) + (87584)/(514229)*a^(13) + (133952)/(514229)*a^(11) + (131560)/(514229)*a^(9) + (78936)/(514229)*a^(7) - (28657)/(514229)*a^(6) + (26312)/(514229)*a^(5) - (171942)/(514229)*a^(4) + (4048)/(514229)*a^(3) - (257913)/(514229)*a^(2) + (184)/(514229)*a - (57314)/(514229) , (5)/(514229)*a^(24) + (120)/(514229)*a^(22) + (1260)/(514229)*a^(20) + (7600)/(514229)*a^(18) + (29070)/(514229)*a^(16) + (73440)/(514229)*a^(14) + (123760)/(514229)*a^(12) + (137280)/(514229)*a^(10) + (96525)/(514229)*a^(8) + (40040)/(514229)*a^(6) - (46368)/(514229)*a^(5) + (8580)/(514229)*a^(4) - (231840)/(514229)*a^(3) + (720)/(514229)*a^(2) - (231840)/(514229)*a + (514239)/(514229) , (8)/(514229)*a^(23) - (13)/(514229)*a^(22) + (205)/(514229)*a^(21) - (286)/(514229)*a^(20) + (2281)/(514229)*a^(19) - (2717)/(514229)*a^(18) + (14457)/(514229)*a^(17) - (14586)/(514229)*a^(16) + (57528)/(514229)*a^(15) - (48620)/(514229)*a^(14) + (149324)/(514229)*a^(13) - (104104)/(514229)*a^(12) + (254345)/(514229)*a^(11) - (143143)/(514229)*a^(10) + (278707)/(514229)*a^(9) - (133640)/(514229)*a^(8) + (204755)/(514229)*a^(7) - (177572)/(514229)*a^(6) + (193948)/(514229)*a^(5) - (406592)/(514229)*a^(4) + (260087)/(514229)*a^(3) - (434622)/(514229)*a^(2) + (124602)/(514229)*a - (79232)/(514229) , (377)/(514229)*a^(15) - (610)/(514229)*a^(14) + (5655)/(514229)*a^(13) - (8540)/(514229)*a^(12) + (33930)/(514229)*a^(11) - (46970)/(514229)*a^(10) + (103675)/(514229)*a^(9) - (128100)/(514229)*a^(8) + (169650)/(514229)*a^(7) - (179340)/(514229)*a^(6) + (142506)/(514229)*a^(5) - (119560)/(514229)*a^(4) + (52780)/(514229)*a^(3) - (29890)/(514229)*a^(2) + (5655)/(514229)*a - (515449)/(514229) , (13)/(514229)*a^(22) + (286)/(514229)*a^(20) + (2717)/(514229)*a^(18) + (14586)/(514229)*a^(16) + (48620)/(514229)*a^(14) + (104104)/(514229)*a^(12) + (143143)/(514229)*a^(10) + (122694)/(514229)*a^(8) - (17711)/(514229)*a^(7) + (61347)/(514229)*a^(6) - (123977)/(514229)*a^(5) + (15730)/(514229)*a^(4) - (247954)/(514229)*a^(3) + (1573)/(514229)*a^(2) - (123977)/(514229)*a + (514255)/(514229) , (3)/(514229)*a^(25) + (75)/(514229)*a^(23) + (846)/(514229)*a^(21) + (5691)/(514229)*a^(19) + (25488)/(514229)*a^(17) - (233)/(514229)*a^(16) + (80580)/(514229)*a^(15) - (3728)/(514229)*a^(14) + (186963)/(514229)*a^(13) - (25829)/(514229)*a^(12) + (329472)/(514229)*a^(11) - (101180)/(514229)*a^(10) + (453192)/(514229)*a^(9) - (250964)/(514229)*a^(8) + (477273)/(514229)*a^(7) - (423008)/(514229)*a^(6) + (341124)/(514229)*a^(5) - (539918)/(514229)*a^(4) + (129228)/(514229)*a^(3) - (547640)/(514229)*a^(2) + (15795)/(514229)*a - (689831)/(514229) , (377)/(514229)*a^(15) - (610)/(514229)*a^(14) + (5655)/(514229)*a^(13) - (8540)/(514229)*a^(12) + (33930)/(514229)*a^(11) - (46970)/(514229)*a^(10) + (103675)/(514229)*a^(9) - (128100)/(514229)*a^(8) + (169650)/(514229)*a^(7) - (179340)/(514229)*a^(6) + (142506)/(514229)*a^(5) - (119560)/(514229)*a^(4) + (52780)/(514229)*a^(3) - (29890)/(514229)*a^(2) + (5655)/(514229)*a - (1220)/(514229) , (34)/(514229)*a^(20) + (680)/(514229)*a^(18) + (5780)/(514229)*a^(16) + (27200)/(514229)*a^(14) + (77350)/(514229)*a^(12) + (136136)/(514229)*a^(10) - (6765)/(514229)*a^(9) + (145860)/(514229)*a^(8) - (60885)/(514229)*a^(7) + (89760)/(514229)*a^(6) - (182655)/(514229)*a^(5) + (28050)/(514229)*a^(4) - (202950)/(514229)*a^(3) + (3400)/(514229)*a^(2) - (60885)/(514229)*a + (68)/(514229) , (1)/(514229)*a^(27) - (2)/(514229)*a^(26) + (30)/(514229)*a^(25) - (57)/(514229)*a^(24) + (407)/(514229)*a^(23) - (731)/(514229)*a^(22) + (3307)/(514229)*a^(21) - (5584)/(514229)*a^(20) + (17926)/(514229)*a^(19) - (28376)/(514229)*a^(18) + (68295)/(514229)*a^(17) - (101659)/(514229)*a^(16) + (188261)/(514229)*a^(15) - (266389)/(514229)*a^(14) + (384854)/(514229)*a^(13) - (526081)/(514229)*a^(12) + (607344)/(514229)*a^(11) - (805664)/(514229)*a^(10) + (796546)/(514229)*a^(9) - (977101)/(514229)*a^(8) + (949039)/(514229)*a^(7) - (971532)/(514229)*a^(6) + (1069281)/(514229)*a^(5) - (936572)/(514229)*a^(4) + (1133132)/(514229)*a^(3) - (1045101)/(514229)*a^(2) + (830966)/(514229)*a - (1141487)/(514229) , (144)/(514229)*a^(17) + (2448)/(514229)*a^(15) + (17136)/(514229)*a^(13) - (1597)/(514229)*a^(12) + (63648)/(514229)*a^(11) - (19164)/(514229)*a^(10) + (134640)/(514229)*a^(9) - (86238)/(514229)*a^(8) + (161568)/(514229)*a^(7) - (178864)/(514229)*a^(6) + (102816)/(514229)*a^(5) - (167685)/(514229)*a^(4) + (29376)/(514229)*a^(3) - (57492)/(514229)*a^(2) + (2448)/(514229)*a - (3194)/(514229) , (2)/(514229)*a^(26) + (52)/(514229)*a^(24) + (598)/(514229)*a^(22) + (4004)/(514229)*a^(20) + (17290)/(514229)*a^(18) + (50388)/(514229)*a^(16) + (100776)/(514229)*a^(14) + (137904)/(514229)*a^(12) + (126412)/(514229)*a^(10) + (74360)/(514229)*a^(8) + (26026)/(514229)*a^(6) + (4732)/(514229)*a^(4) - (121393)/(514229)*a^(3) + (338)/(514229)*a^(2) - (364179)/(514229)*a + (4)/(514229) ], 487075979.1876791, [[x^2 - x - 7, 1], [x^4 - x^3 + 33*x^2 - 107*x + 139, 1], [x^7 - x^6 - 12*x^5 + 7*x^4 + 28*x^3 - 14*x^2 - 9*x - 1, 1], [x^14 - x^13 - 13*x^12 + 12*x^11 + 66*x^10 - 55*x^9 - 165*x^8 + 120*x^7 + 210*x^6 - 126*x^5 - 126*x^4 + 56*x^3 + 28*x^2 - 7*x - 1, 1]]]