/* 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^32 + 13*x^28 + 78*x^24 + 356*x^20 + 1505*x^16 + 5696*x^12 + 19968*x^8 + 53248*x^4 + 65536, 32, 262, [0, 16], 8779518136340480467664896000000000000000000000000, [2, 5, 41], [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, a^15, 1/15*a^16 - 1/15*a^12 + 1/15*a^8 - 1/15*a^4 + 1/15, 1/30*a^17 - 1/30*a^13 - 7/15*a^9 + 7/15*a^5 + 1/30*a, 1/60*a^18 + 29/60*a^14 - 7/30*a^10 - 4/15*a^6 + 1/60*a^2, 1/120*a^19 + 29/120*a^15 + 23/60*a^11 + 11/30*a^7 + 1/120*a^3, 1/240*a^20 - 1/80*a^16 + 13/40*a^12 - 9/20*a^8 + 11/80*a^4 - 2/15, 1/480*a^21 - 1/160*a^17 - 27/80*a^13 + 11/40*a^9 + 11/160*a^5 + 13/30*a, 1/960*a^22 - 1/320*a^18 + 53/160*a^14 + 11/80*a^10 + 11/320*a^6 - 17/60*a^2, 1/1920*a^23 - 1/640*a^19 - 107/320*a^15 + 11/160*a^11 + 11/640*a^7 + 43/120*a^3, 1/3840*a^24 - 1/1280*a^20 + 21/640*a^16 - 53/320*a^12 - 373/1280*a^8 + 23/48*a^4 + 1/5, 1/7680*a^25 - 1/2560*a^21 + 21/1280*a^17 - 53/640*a^13 - 373/2560*a^9 - 25/96*a^5 + 1/10*a, 1/15360*a^26 - 1/5120*a^22 + 21/2560*a^18 - 53/1280*a^14 + 2187/5120*a^10 - 25/192*a^6 + 1/20*a^2, 1/30720*a^27 - 1/10240*a^23 + 21/5120*a^19 + 1227/2560*a^15 - 2933/10240*a^11 + 167/384*a^7 + 1/40*a^3, 1/5836800*a^28 + 397/5836800*a^24 + 1101/972800*a^20 - 6907/291840*a^16 - 511187/1167360*a^12 - 4801/91200*a^8 - 829/1900*a^4 - 479/1425, 1/11673600*a^29 + 397/11673600*a^25 + 1101/1945600*a^21 - 6907/583680*a^17 + 656173/2334720*a^13 + 86399/182400*a^9 + 1071/3800*a^5 - 479/2850*a, 1/23347200*a^30 + 397/23347200*a^26 + 1101/3891200*a^22 - 6907/1167360*a^18 + 656173/4669440*a^14 - 96001/364800*a^10 + 1071/7600*a^6 + 2371/5700*a^2, 1/46694400*a^31 + 397/46694400*a^27 + 1101/7782400*a^23 - 6907/2334720*a^19 + 656173/9338880*a^15 + 268799/729600*a^11 - 6529/15200*a^7 - 3329/11400*a^3], 1, 32, [2, 2, 8], 1, [ (71)/(77824)*a^(28) + (10277)/(1167360)*a^(24) + (4795)/(116736)*a^(20) + (3575)/(19456)*a^(16) + (59175)/(77824)*a^(12) + (12971)/(4864)*a^(8) + (21151)/(2280)*a^(4) + (953)/(57) , (11557)/(23347200)*a^(30) + (613)/(389120)*a^(28) + (34203)/(7782400)*a^(26) + (3319)/(233472)*a^(24) + (237371)/(11673600)*a^(22) + (2543)/(38912)*a^(20) + (105761)/(1167360)*a^(18) + (5745)/(19456)*a^(16) + (1661761)/(4669440)*a^(14) + (91905)/(77824)*a^(12) + (1896947)/(1459200)*a^(10) + (101713)/(24320)*a^(8) + (201097)/(45600)*a^(6) + (13039)/(912)*a^(4) + (43547)/(5700)*a^(2) + (471)/(19) , (2867)/(5836800)*a^(30) + (8773)/(1945600)*a^(26) + (62801)/(2918400)*a^(22) + (27779)/(291840)*a^(18) + (449239)/(1167360)*a^(14) + (338453)/(243200)*a^(10) + (435701)/(91200)*a^(6) + (49793)/(5700)*a^(2) - 1 , (191)/(729600)*a^(29) + (721)/(364800)*a^(25) + (5941)/(729600)*a^(21) + (937)/(24320)*a^(17) + (7381)/(48640)*a^(13) + (393551)/(729600)*a^(9) + (42301)/(22800)*a^(5) + (6871)/(2850)*a + 1 , (4099)/(15564800)*a^(31) + (99989)/(46694400)*a^(27) + (232111)/(23347200)*a^(23) + (104669)/(2334720)*a^(19) + (1623829)/(9338880)*a^(15) + (930611)/(1459200)*a^(11) + (380089)/(182400)*a^(7) + (1513)/(475)*a^(3) + 1 , (4099)/(15564800)*a^(31) + (343)/(1167360)*a^(28) + (99989)/(46694400)*a^(27) + (3019)/(1167360)*a^(24) + (232111)/(23347200)*a^(23) + (7217)/(583680)*a^(20) + (104669)/(2334720)*a^(19) + (3011)/(58368)*a^(16) + (1623829)/(9338880)*a^(15) + (51403)/(233472)*a^(12) + (930611)/(1459200)*a^(11) + (29329)/(36480)*a^(8) + (380089)/(182400)*a^(7) + (4113)/(1520)*a^(4) + (1513)/(475)*a^(3) + (1364)/(285) , (2427)/(3891200)*a^(30) - (191)/(729600)*a^(29) + (67157)/(11673600)*a^(26) - (721)/(364800)*a^(25) + (52721)/(1945600)*a^(22) - (5941)/(729600)*a^(21) + (23667)/(194560)*a^(18) - (937)/(24320)*a^(17) + (378687)/(778240)*a^(14) - (7381)/(48640)*a^(13) + (838249)/(486400)*a^(10) - (393551)/(729600)*a^(9) + (546979)/(91200)*a^(6) - (42301)/(22800)*a^(5) + (20009)/(1900)*a^(2) - (6871)/(2850)*a , (6139)/(5836800)*a^(28) + (59903)/(5836800)*a^(24) + (143197)/(2918400)*a^(20) + (21229)/(97280)*a^(16) + (341429)/(389120)*a^(12) + (70759)/(22800)*a^(8) + (241373)/(22800)*a^(4) + (28454)/(1425) , (9833)/(46694400)*a^(31) + (3251)/(2918400)*a^(29) + (109781)/(46694400)*a^(27) + (33607)/(2918400)*a^(25) + (278719)/(23347200)*a^(23) + (77533)/(1459200)*a^(21) + (116237)/(2334720)*a^(19) + (34807)/(145920)*a^(17) + (2057077)/(9338880)*a^(15) + (572087)/(583680)*a^(13) + (181869)/(243200)*a^(11) + (616351)/(182400)*a^(9) + (7549)/(2850)*a^(7) + (556403)/(45600)*a^(5) + (11653)/(1900)*a^(3) + (65119)/(2850)*a , (3567)/(7782400)*a^(30) - (3301)/(5836800)*a^(28) + (31379)/(7782400)*a^(26) - (32177)/(5836800)*a^(24) + (69441)/(3891200)*a^(22) - (77003)/(2918400)*a^(20) + (93497)/(1167360)*a^(18) - (32977)/(291840)*a^(16) + (1519177)/(4669440)*a^(14) - (524417)/(1167360)*a^(12) + (1721401)/(1459200)*a^(10) - (198567)/(121600)*a^(8) + (362837)/(91200)*a^(6) - (44909)/(7600)*a^(4) + (38041)/(5700)*a^(2) - (5067)/(475) , (337)/(15564800)*a^(31) - (9157)/(23347200)*a^(30) + (11777)/(11673600)*a^(29) - (5623)/(5836800)*a^(28) + (3127)/(46694400)*a^(27) - (77009)/(23347200)*a^(26) + (36463)/(3891200)*a^(25) - (52651)/(5836800)*a^(24) - (1049)/(7782400)*a^(23) - (173131)/(11673600)*a^(22) + (85997)/(1945600)*a^(21) - (124529)/(2918400)*a^(20) - (445)/(466944)*a^(19) - (77777)/(1167360)*a^(18) + (38903)/(194560)*a^(17) - (56003)/(291840)*a^(16) - (20981)/(1867776)*a^(15) - (1257697)/(4669440)*a^(14) + (634383)/(778240)*a^(13) - (868843)/(1167360)*a^(12) - (110627)/(1459200)*a^(11) - (1435217)/(1459200)*a^(10) + (264319)/(91200)*a^(9) - (468319)/(182400)*a^(8) - (19079)/(91200)*a^(7) - (322099)/(91200)*a^(6) + (150263)/(15200)*a^(5) - (16903)/(1900)*a^(4) - (458)/(1425)*a^(3) - (12079)/(1900)*a^(2) + (8362)/(475)*a - (23108)/(1425) , (4099)/(15564800)*a^(31) - (871)/(2918400)*a^(30) - (2561)/(3891200)*a^(29) + (781)/(364800)*a^(28) + (99989)/(46694400)*a^(27) - (6827)/(2918400)*a^(26) - (25677)/(3891200)*a^(25) + (2399)/(121600)*a^(24) + (232111)/(23347200)*a^(23) - (5171)/(486400)*a^(22) - (59463)/(1945600)*a^(21) + (16733)/(182400)*a^(20) + (104669)/(2334720)*a^(19) - (477)/(9728)*a^(18) - (26469)/(194560)*a^(17) + (7447)/(18240)*a^(16) + (1623829)/(9338880)*a^(15) - (7093)/(38912)*a^(14) - (428589)/(778240)*a^(13) + (118937)/(72960)*a^(12) + (930611)/(1459200)*a^(11) - (120331)/(182400)*a^(10) - (59097)/(30400)*a^(9) + (176783)/(30400)*a^(8) + (380089)/(182400)*a^(7) - (208561)/(91200)*a^(6) - (101637)/(15200)*a^(5) + (230351)/(11400)*a^(4) + (1513)/(475)*a^(3) - (1604)/(475)*a^(2) - (11511)/(950)*a + (16842)/(475) , (2161)/(7782400)*a^(31) - (469)/(2918400)*a^(30) - (343)/(1167360)*a^(29) + (71)/(77824)*a^(28) + (64231)/(23347200)*a^(27) - (4553)/(2918400)*a^(26) - (3019)/(1167360)*a^(25) + (10277)/(1167360)*a^(24) + (146269)/(11673600)*a^(23) - (9727)/(1459200)*a^(22) - (7217)/(583680)*a^(21) + (4795)/(116736)*a^(20) + (4361)/(77824)*a^(19) - (4829)/(145920)*a^(18) - (3011)/(58368)*a^(17) + (3575)/(19456)*a^(16) + (72249)/(311296)*a^(15) - (78289)/(583680)*a^(14) - (51403)/(233472)*a^(13) + (59175)/(77824)*a^(12) + (395821)/(486400)*a^(11) - (170503)/(364800)*a^(10) - (29329)/(36480)*a^(9) + (12971)/(4864)*a^(8) + (529727)/(182400)*a^(7) - (37391)/(22800)*a^(6) - (4113)/(1520)*a^(5) + (21151)/(2280)*a^(4) + (15439)/(2850)*a^(3) - (5669)/(1900)*a^(2) - (1364)/(285)*a + (953)/(57) , (8421)/(15564800)*a^(31) - (2561)/(7782400)*a^(30) + (2999)/(11673600)*a^(29) + (1849)/(972800)*a^(28) + (228451)/(46694400)*a^(27) - (25677)/(7782400)*a^(26) + (36923)/(11673600)*a^(25) + (49079)/(2918400)*a^(24) + (174883)/(7782400)*a^(23) - (59463)/(3891200)*a^(22) + (84217)/(5836800)*a^(21) + (113281)/(1459200)*a^(20) + (235499)/(2334720)*a^(19) - (26469)/(389120)*a^(18) + (2453)/(38912)*a^(17) + (17249)/(48640)*a^(16) + (3791299)/(9338880)*a^(15) - (428589)/(1556480)*a^(14) + (43877)/(155648)*a^(13) + (272869)/(194560)*a^(12) + (1059037)/(729600)*a^(11) - (59097)/(60800)*a^(10) + (706139)/(729600)*a^(9) + (612563)/(121600)*a^(8) + (37909)/(7600)*a^(7) - (101637)/(30400)*a^(6) + (160583)/(45600)*a^(5) + (396913)/(22800)*a^(4) + (24517)/(2850)*a^(3) - (11511)/(1900)*a^(2) + (10627)/(1425)*a + (41599)/(1425) , (871)/(2918400)*a^(31) - (11557)/(23347200)*a^(30) - (2427)/(1945600)*a^(29) + (613)/(389120)*a^(28) + (6827)/(2918400)*a^(27) - (34203)/(7782400)*a^(26) - (67157)/(5836800)*a^(25) + (3319)/(233472)*a^(24) + (5171)/(486400)*a^(23) - (237371)/(11673600)*a^(22) - (52721)/(972800)*a^(21) + (2543)/(38912)*a^(20) + (477)/(9728)*a^(19) - (105761)/(1167360)*a^(18) - (23667)/(97280)*a^(17) + (5745)/(19456)*a^(16) + (7093)/(38912)*a^(15) - (1661761)/(4669440)*a^(14) - (378687)/(389120)*a^(13) + (91905)/(77824)*a^(12) + (120331)/(182400)*a^(11) - (1896947)/(1459200)*a^(10) - (838249)/(243200)*a^(9) + (101713)/(24320)*a^(8) + (208561)/(91200)*a^(7) - (201097)/(45600)*a^(6) - (546979)/(45600)*a^(5) + (13039)/(912)*a^(4) + (1604)/(475)*a^(3) - (43547)/(5700)*a^(2) - (20009)/(950)*a + (452)/(19) ], 150821321458.18454, [[x^2 - 10, 1], [x^2 - x - 1, 1], [x^2 + 5, 1], [x^2 + 10, 1], [x^2 - 2, 1], [x^2 + 2, 1], [x^2 + 1, 1], [x^4 - 13*x^2 + 41, 1], [x^4 + 10*x^2 + 20, 1], [x^4 - 26*x^2 + 164, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 + 26*x^2 + 164, 1], [x^4 - 5*x^2 + 5, 1], [x^4 - x^3 + 3*x^2 - 2*x + 4, 1], [x^4 - 10*x^2 + 20, 1], [x^4 + 1, 1], [x^4 + 60*x^2 + 820, 1], [x^4 - 6*x^2 + 4, 1], [x^4 + 4*x^2 + 9, 1], [x^4 - 4*x^2 + 9, 1], [x^4 + 6*x^2 + 4, 1], [x^4 - 60*x^2 + 820, 1], [x^4 + 25, 1], [x^4 + 3*x^2 + 1, 1], [x^4 - 2*x^3 - 6*x^2 + 7*x + 11, 1], [x^4 + 30*x^2 + 205, 1], [x^8 + 28*x^6 + 314*x^4 + 1612*x^2 + 3481, 1], [x^8 - 4*x^7 + 14*x^5 + 54*x^4 - 136*x^3 - 75*x^2 + 146*x + 971, 1], [x^8 + 490*x^4 + 42025, 1], [x^8 + 7*x^4 + 1, 1], [x^8 - 4*x^7 - 16*x^6 + 62*x^5 + 54*x^4 - 216*x^3 + 101*x^2 + 18*x - 9, 1], [x^8 - 28*x^6 + 314*x^4 - 1612*x^2 + 3481, 1], [x^8 + 16*x^6 + 86*x^4 + 181*x^2 + 121, 1], [x^8 + 40*x^6 + 490*x^4 + 1800*x^2 + 25, 1], [x^8 + 8*x^6 + 184*x^4 + 2952*x^2 + 26896, 1], [x^8 + 52*x^6 + 819*x^4 + 3608*x^2 + 1681, 1], [x^8 - 2*x^7 - 13*x^6 + 30*x^5 + 111*x^4 - 280*x^3 - 82*x^2 + 104*x + 1276, 1], [x^8 - 16*x^6 + 79*x^4 - 120*x^2 + 25, 1], [x^8 + 2*x^6 + 4*x^4 + 8*x^2 + 16, 1], [x^8 + 10*x^6 + 52*x^4 + 160*x^2 + 256, 1], [x^8 - 8*x^6 + 19*x^4 - 12*x^2 + 1, 1], [x^8 + 16*x^6 + 79*x^4 + 120*x^2 + 25, 1], [x^8 + 8*x^6 + 19*x^4 + 12*x^2 + 1, 1], [x^8 - 2*x^7 + 15*x^6 - 22*x^5 + 63*x^4 - 52*x^3 - 12*x^2 + 16*x + 4, 1], [x^8 - 2*x^6 + 4*x^4 - 8*x^2 + 16, 1], [x^8 - 8*x^6 + 184*x^4 - 2952*x^2 + 26896, 1], [x^8 - 52*x^6 + 819*x^4 - 3608*x^2 + 1681, 1], [x^8 - 2*x^7 + 27*x^6 - 30*x^5 + 201*x^4 - 120*x^3 + 318*x^2 + 224*x + 76, 1], [x^8 - 40*x^6 + 490*x^4 - 1800*x^2 + 25, 1], [x^8 + 87*x^4 + 1681, 1], [x^8 - x^6 + x^4 - x^2 + 1, 1], [x^8 - 5*x^6 + 13*x^4 - 20*x^2 + 16, 1], [x^8 + 15*x^4 + 25, 1], [x^8 + 18*x^6 + 84*x^4 + 72*x^2 + 16, 1], [x^8 - 9*x^6 + 21*x^4 - 9*x^2 + 1, 1], [x^8 - 3*x^7 + 2*x^6 + x^4 + 8*x^2 - 24*x + 16, 1], [x^8 - 18*x^6 + 84*x^4 - 72*x^2 + 16, 1], [x^8 - 8*x^6 + 59*x^4 - 172*x^2 + 361, 1], [x^8 + 4*x^6 + 46*x^4 + 369*x^2 + 1681, 1], [x^8 - 2*x^7 - 3*x^6 + 10*x^5 + 31*x^4 - 90*x^3 + 98*x^2 - 76*x + 236, 1], [x^8 + 8*x^6 + 59*x^4 + 172*x^2 + 361, 1], [x^16 + 84*x^12 + 1846*x^8 + 11949*x^4 + 14641, 1], [x^16 + 8*x^14 + 69*x^12 + 592*x^10 + 3606*x^8 + 8840*x^6 + 9100*x^4 - 1000*x^2 + 625, 1], [x^16 + 20*x^14 + 219*x^12 + 1480*x^10 + 5841*x^8 + 10640*x^6 + 8224*x^4 + 1280*x^2 + 256, 1], [x^16 + 32*x^14 + 429*x^12 + 3128*x^10 + 13446*x^8 + 34400*x^6 + 49940*x^4 + 36000*x^2 + 9025, 1], [x^16 - 4*x^15 + 4*x^14 - 14*x^13 + 104*x^12 - 276*x^11 + 193*x^10 - 882*x^9 + 4771*x^8 - 8760*x^7 + 11598*x^6 - 10512*x^5 + 7364*x^4 - 3520*x^3 + 1080*x^2 - 192*x + 16, 1], [x^16 - 11*x^12 + 2526*x^8 - 127756*x^4 + 2825761, 1], [x^16 - 10*x^14 + 81*x^12 - 40*x^11 + 30*x^10 + 80*x^9 - 869*x^8 + 3800*x^7 + 4370*x^6 + 8880*x^5 + 18046*x^4 - 4760*x^3 + 14460*x^2 - 11160*x + 2036, 1], [x^16 - x^12 + x^8 - 16*x^4 + 256, 1], [x^16 - x^12 + x^8 - x^4 + 1, 1], [x^16 - 6*x^15 - 3*x^14 + 72*x^13 - 48*x^12 - 366*x^11 + 432*x^10 + 876*x^9 - 855*x^8 - 4176*x^7 + 8024*x^6 - 5328*x^5 + 5272*x^4 - 672*x^3 + 992*x^2 + 16, 1], [x^16 - 32*x^14 + 429*x^12 - 3128*x^10 + 13446*x^8 - 34400*x^6 + 49940*x^4 - 36000*x^2 + 9025, 1], [x^16 - 4*x^15 + 34*x^14 - 104*x^13 + 429*x^12 - 996*x^11 + 2438*x^10 - 4032*x^9 + 6211*x^8 - 6020*x^7 + 4838*x^6 - 1712*x^5 + 1614*x^4 - 760*x^3 + 900*x^2 + 328*x + 236, 1], [x^16 - 8*x^14 + 69*x^12 - 592*x^10 + 3606*x^8 - 8840*x^6 + 9100*x^4 + 1000*x^2 + 625, 1], [x^16 + 39*x^12 + 281*x^8 + 39*x^4 + 1, 1], [x^16 + 5*x^14 + 6*x^12 - 20*x^10 - 79*x^8 - 80*x^6 + 96*x^4 + 320*x^2 + 256, 1]]]