/* 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^21 + 21*x^19 + 189*x^17 + 952*x^15 + 2940*x^13 + 5733*x^11 + 7007*x^9 + 5144*x^7 + 2051*x^5 + 329*x^3 - 7*x - 1, 21, 87, [1, 10], 39987268032456435383175526376221, [7, 23, 101], [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, a^16, a^17, a^18, a^19, 1/7*a^20 - 2/7*a^19 - 3/7*a^18 - 1/7*a^17 + 2/7*a^16 + 3/7*a^15 + 1/7*a^14 - 2/7*a^13 - 3/7*a^12 - 1/7*a^11 + 2/7*a^10 + 3/7*a^9 + 1/7*a^8 - 2/7*a^7 + 3/7*a^6 + 1/7*a^5 - 2/7*a^4 - 3/7*a^3 - 1/7*a^2 + 2/7*a + 3/7], 0, 1, [], 1, [ a^(14) + 14*a^(12) + 77*a^(10) + 210*a^(8) + 294*a^(6) + 196*a^(4) + 49*a^(2) - 1 , a , (1)/(7)*a^(20) - (2)/(7)*a^(19) + (25)/(7)*a^(18) - (36)/(7)*a^(17) + (261)/(7)*a^(16) - (270)/(7)*a^(15) + (1492)/(7)*a^(14) - (1094)/(7)*a^(13) + (5128)/(7)*a^(12) - (2605)/(7)*a^(11) + (10929)/(7)*a^(10) - (3749)/(7)*a^(9) + (14351)/(7)*a^(8) - (3306)/(7)*a^(7) + (11140)/(7)*a^(6) - (1840)/(7)*a^(5) + (4646)/(7)*a^(4) - (640)/(7)*a^(3) + (797)/(7)*a^(2) - (110)/(7)*a + (3)/(7) , (5)/(7)*a^(20) - (3)/(7)*a^(19) + (90)/(7)*a^(18) - (54)/(7)*a^(17) + (668)/(7)*a^(16) - (405)/(7)*a^(15) + (2630)/(7)*a^(14) - (1641)/(7)*a^(13) + (5872)/(7)*a^(12) - (3897)/(7)*a^(11) + (7325)/(7)*a^(10) - (5508)/(7)*a^(9) + (4583)/(7)*a^(8) - (4497)/(7)*a^(7) + (897)/(7)*a^(6) - (1948)/(7)*a^(5) - (325)/(7)*a^(4) - (358)/(7)*a^(3) - (117)/(7)*a^(2) - (11)/(7)*a + (1)/(7) , (1)/(7)*a^(20) - (2)/(7)*a^(19) + (18)/(7)*a^(18) - (36)/(7)*a^(17) + (135)/(7)*a^(16) - (270)/(7)*a^(15) + (540)/(7)*a^(14) - (1087)/(7)*a^(13) + (1201)/(7)*a^(12) - (2507)/(7)*a^(11) + (1290)/(7)*a^(10) - (3217)/(7)*a^(9) - (41)/(7)*a^(8) - (1906)/(7)*a^(7) - (1649)/(7)*a^(6) - (27)/(7)*a^(5) - (1570)/(7)*a^(4) + (389)/(7)*a^(3) - (456)/(7)*a^(2) + (86)/(7)*a - (4)/(7) , (1)/(7)*a^(20) + (5)/(7)*a^(19) + (18)/(7)*a^(18) + (90)/(7)*a^(17) + (135)/(7)*a^(16) + (675)/(7)*a^(15) + (547)/(7)*a^(14) + (2728)/(7)*a^(13) + (1299)/(7)*a^(12) + (6411)/(7)*a^(11) + (1836)/(7)*a^(10) + (8795)/(7)*a^(9) + (1499)/(7)*a^(8) + (6641)/(7)*a^(7) + (647)/(7)*a^(6) + (2269)/(7)*a^(5) + (103)/(7)*a^(4) + (18)/(7)*a^(3) - (29)/(7)*a^(2) - (124)/(7)*a - (18)/(7) , (4)/(7)*a^(20) - (8)/(7)*a^(19) + (79)/(7)*a^(18) - (144)/(7)*a^(17) + (659)/(7)*a^(16) - (1080)/(7)*a^(15) + (3028)/(7)*a^(14) - (4369)/(7)*a^(13) + (8395)/(7)*a^(12) - (10315)/(7)*a^(11) + (14505)/(7)*a^(10) - (14373)/(7)*a^(9) + (15628)/(7)*a^(8) - (11390)/(7)*a^(7) + (10197)/(7)*a^(6) - (4609)/(7)*a^(5) + (3681)/(7)*a^(4) - (621)/(7)*a^(3) + (570)/(7)*a^(2) + (64)/(7)*a + (12)/(7) , (4)/(7)*a^(20) + (6)/(7)*a^(19) + (72)/(7)*a^(18) + (108)/(7)*a^(17) + (540)/(7)*a^(16) + (817)/(7)*a^(15) + (2181)/(7)*a^(14) + (3373)/(7)*a^(13) + (5112)/(7)*a^(12) + (8256)/(7)*a^(11) + (6959)/(7)*a^(10) + (12185)/(7)*a^(9) + (5142)/(7)*a^(8) + (10562)/(7)*a^(7) + (1622)/(7)*a^(6) + (4981)/(7)*a^(5) - (92)/(7)*a^(4) + (1031)/(7)*a^(3) - (123)/(7)*a^(2) + (22)/(7)*a - (2)/(7) , (2)/(7)*a^(20) - (4)/(7)*a^(19) + (36)/(7)*a^(18) - (86)/(7)*a^(17) + (263)/(7)*a^(16) - (778)/(7)*a^(15) + (975)/(7)*a^(14) - (3847)/(7)*a^(13) + (1779)/(7)*a^(12) - (11286)/(7)*a^(11) + (753)/(7)*a^(10) - (19902)/(7)*a^(9) - (2714)/(7)*a^(8) - (20297)/(7)*a^(7) - (4677)/(7)*a^(6) - (10736)/(7)*a^(5) - (2741)/(7)*a^(4) - (2204)/(7)*a^(3) - (513)/(7)*a^(2) + (46)/(7)*a + (41)/(7) , (10)/(7)*a^(20) + (1)/(7)*a^(19) + (208)/(7)*a^(18) + (32)/(7)*a^(17) + (1854)/(7)*a^(16) + (366)/(7)*a^(15) + (9236)/(7)*a^(14) + (2122)/(7)*a^(13) + (28117)/(7)*a^(12) + (7032)/(7)*a^(11) + (53731)/(7)*a^(10) + (13848)/(7)*a^(9) + (63780)/(7)*a^(8) + (16073)/(7)*a^(7) + (44977)/(7)*a^(6) + (10496)/(7)*a^(5) + (17158)/(7)*a^(4) + (3533)/(7)*a^(3) + (2769)/(7)*a^(2) + (475)/(7)*a + (37)/(7) ], 28539748.2764, [[x^3 - x^2 + 1, 1]]]