/* 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^29 + 4*x - 1, 29, 8, [1, 14], 56529861506972062159162236492963947280952164588608535237, [3, 258439534144219859900797151, 72911782755634284235524422729], [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, a^20, a^21, a^22, a^23, a^24, a^25, a^26, a^27, 1/13*a^28 + 2/13*a^27 + 4/13*a^26 - 5/13*a^25 + 3/13*a^24 + 6/13*a^23 - 1/13*a^22 - 2/13*a^21 - 4/13*a^20 + 5/13*a^19 - 3/13*a^18 - 6/13*a^17 + 1/13*a^16 + 2/13*a^15 + 4/13*a^14 - 5/13*a^13 + 3/13*a^12 + 6/13*a^11 - 1/13*a^10 - 2/13*a^9 - 4/13*a^8 + 5/13*a^7 - 3/13*a^6 - 6/13*a^5 + 1/13*a^4 + 2/13*a^3 + 4/13*a^2 - 5/13*a - 6/13], 0, 2, [2], 1, [ a , a^(15) - 2*a^(8) + 2*a , (3)/(13)*a^(28) - (7)/(13)*a^(27) - (1)/(13)*a^(26) - (2)/(13)*a^(25) - (17)/(13)*a^(24) - (21)/(13)*a^(23) - (3)/(13)*a^(22) + (20)/(13)*a^(21) + (27)/(13)*a^(20) + (15)/(13)*a^(19) + (4)/(13)*a^(18) - (5)/(13)*a^(17) - (10)/(13)*a^(16) - (7)/(13)*a^(15) - (14)/(13)*a^(14) - (28)/(13)*a^(13) - (17)/(13)*a^(12) + (18)/(13)*a^(11) + (36)/(13)*a^(10) + (20)/(13)*a^(9) - (12)/(13)*a^(8) + (2)/(13)*a^(7) + (17)/(13)*a^(6) + (8)/(13)*a^(5) - (10)/(13)*a^(4) - (33)/(13)*a^(3) - (40)/(13)*a^(2) - (15)/(13)*a + (21)/(13) , (25)/(13)*a^(28) + (11)/(13)*a^(27) + (9)/(13)*a^(26) + (5)/(13)*a^(25) - (16)/(13)*a^(24) - (19)/(13)*a^(23) - (12)/(13)*a^(22) - (11)/(13)*a^(21) - (9)/(13)*a^(20) + (8)/(13)*a^(19) + (16)/(13)*a^(18) + (6)/(13)*a^(17) + (12)/(13)*a^(16) + (11)/(13)*a^(15) - (17)/(13)*a^(14) - (21)/(13)*a^(13) - (3)/(13)*a^(12) - (19)/(13)*a^(11) - (12)/(13)*a^(10) + (15)/(13)*a^(9) + (17)/(13)*a^(8) + (21)/(13)*a^(7) + (42)/(13)*a^(6) + (45)/(13)*a^(5) - (1)/(13)*a^(4) - (15)/(13)*a^(3) - (17)/(13)*a^(2) - (60)/(13)*a + (32)/(13) , a^(27) + 2*a^(26) + 2*a^(25) + a^(24) + a^(21) + 2*a^(20) + 2*a^(19) + a^(18) + a^(15) + 2*a^(14) + 2*a^(13) + a^(12) + a^(9) + 2*a^(8) + 2*a^(7) + a^(6) + a^(3) + 2*a^(2) + 2*a , 7*a^(28) + 7*a^(27) + 5*a^(26) + 2*a^(25) - a^(24) - 3*a^(23) - 4*a^(22) - 4*a^(21) - 3*a^(20) - 3*a^(19) - 5*a^(18) - 7*a^(17) - 8*a^(16) - 7*a^(15) - 2*a^(14) + 5*a^(13) + 10*a^(12) + 12*a^(11) + 11*a^(10) + 8*a^(9) + 5*a^(8) + 2*a^(7) + a^(6) + 3*a^(5) + 3*a^(4) - a^(3) - 7*a^(2) - 16*a + 5 , (32)/(13)*a^(28) + (12)/(13)*a^(27) + (50)/(13)*a^(26) + (9)/(13)*a^(25) + (5)/(13)*a^(24) - (3)/(13)*a^(23) - (6)/(13)*a^(22) + (40)/(13)*a^(21) + (2)/(13)*a^(20) + (43)/(13)*a^(19) - (44)/(13)*a^(18) + (3)/(13)*a^(17) - (46)/(13)*a^(16) + (12)/(13)*a^(15) + (11)/(13)*a^(14) - (17)/(13)*a^(13) - (8)/(13)*a^(12) - (107)/(13)*a^(11) - (19)/(13)*a^(10) - (90)/(13)*a^(9) + (41)/(13)*a^(8) - (61)/(13)*a^(7) - (31)/(13)*a^(6) - (114)/(13)*a^(5) - (111)/(13)*a^(4) - (14)/(13)*a^(3) - (67)/(13)*a^(2) + (74)/(13)*a - (23)/(13) , (9)/(13)*a^(28) - (8)/(13)*a^(27) + (36)/(13)*a^(26) - (32)/(13)*a^(25) + (53)/(13)*a^(24) - (50)/(13)*a^(23) + (69)/(13)*a^(22) - (83)/(13)*a^(21) + (94)/(13)*a^(20) - (111)/(13)*a^(19) + (103)/(13)*a^(18) - (132)/(13)*a^(17) + (126)/(13)*a^(16) - (164)/(13)*a^(15) + (140)/(13)*a^(14) - (162)/(13)*a^(13) + (157)/(13)*a^(12) - (154)/(13)*a^(11) + (186)/(13)*a^(10) - (148)/(13)*a^(9) + (159)/(13)*a^(8) - (124)/(13)*a^(7) + (142)/(13)*a^(6) - (106)/(13)*a^(5) + (113)/(13)*a^(4) - (47)/(13)*a^(3) + (23)/(13)*a^(2) - (19)/(13)*a - (15)/(13) , (18)/(13)*a^(28) + (23)/(13)*a^(27) + (20)/(13)*a^(26) - (38)/(13)*a^(25) - (24)/(13)*a^(24) - (22)/(13)*a^(23) - (31)/(13)*a^(22) + (42)/(13)*a^(21) + (32)/(13)*a^(20) + (25)/(13)*a^(19) + (24)/(13)*a^(18) - (56)/(13)*a^(17) - (34)/(13)*a^(16) - (42)/(13)*a^(15) - (45)/(13)*a^(14) + (66)/(13)*a^(13) + (28)/(13)*a^(12) + (30)/(13)*a^(11) + (34)/(13)*a^(10) - (88)/(13)*a^(9) - (46)/(13)*a^(8) - (53)/(13)*a^(7) - (54)/(13)*a^(6) + (100)/(13)*a^(5) + (44)/(13)*a^(4) + (36)/(13)*a^(3) + (46)/(13)*a^(2) - (129)/(13)*a + (9)/(13) , (25)/(13)*a^(28) + (50)/(13)*a^(27) + (35)/(13)*a^(26) + (31)/(13)*a^(25) + (62)/(13)*a^(24) + (72)/(13)*a^(23) + (53)/(13)*a^(22) + (2)/(13)*a^(21) - (22)/(13)*a^(20) - (57)/(13)*a^(19) - (75)/(13)*a^(18) - (33)/(13)*a^(17) - (53)/(13)*a^(16) - (93)/(13)*a^(15) - (95)/(13)*a^(14) - (73)/(13)*a^(13) - (42)/(13)*a^(12) + (20)/(13)*a^(11) + (105)/(13)*a^(10) + (80)/(13)*a^(9) + (56)/(13)*a^(8) + (99)/(13)*a^(7) + (107)/(13)*a^(6) + (110)/(13)*a^(5) + (142)/(13)*a^(4) + (115)/(13)*a^(3) - (69)/(13)*a^(2) - (112)/(13)*a + (19)/(13) , (89)/(13)*a^(28) - (17)/(13)*a^(27) - (47)/(13)*a^(26) - (146)/(13)*a^(25) - (71)/(13)*a^(24) - (64)/(13)*a^(23) + (93)/(13)*a^(22) + (69)/(13)*a^(21) + (125)/(13)*a^(20) - (49)/(13)*a^(19) - (72)/(13)*a^(18) - (222)/(13)*a^(17) - (106)/(13)*a^(16) - (82)/(13)*a^(15) + (135)/(13)*a^(14) + (127)/(13)*a^(13) + (163)/(13)*a^(12) - (38)/(13)*a^(11) - (141)/(13)*a^(10) - (256)/(13)*a^(9) - (174)/(13)*a^(8) - (10)/(13)*a^(7) + (162)/(13)*a^(6) + (285)/(13)*a^(5) + (154)/(13)*a^(4) + (48)/(13)*a^(3) - (268)/(13)*a^(2) - (211)/(13)*a + (77)/(13) , (71)/(13)*a^(28) - (66)/(13)*a^(27) + (63)/(13)*a^(26) - (30)/(13)*a^(25) - (34)/(13)*a^(24) + (62)/(13)*a^(23) - (97)/(13)*a^(22) + (105)/(13)*a^(21) - (63)/(13)*a^(20) + (4)/(13)*a^(19) + (47)/(13)*a^(18) - (114)/(13)*a^(17) + (149)/(13)*a^(16) - (105)/(13)*a^(15) + (76)/(13)*a^(14) + (9)/(13)*a^(13) - (125)/(13)*a^(12) + (153)/(13)*a^(11) - (188)/(13)*a^(10) + (170)/(13)*a^(9) - (37)/(13)*a^(8) - (61)/(13)*a^(7) + (177)/(13)*a^(6) - (270)/(13)*a^(5) + (253)/(13)*a^(4) - (157)/(13)*a^(3) + (24)/(13)*a^(2) + (152)/(13)*a - (49)/(13) , (16)/(13)*a^(28) - (7)/(13)*a^(27) - (53)/(13)*a^(26) - (54)/(13)*a^(25) - (56)/(13)*a^(24) - (60)/(13)*a^(23) - (81)/(13)*a^(22) - (84)/(13)*a^(21) - (103)/(13)*a^(20) - (154)/(13)*a^(19) - (126)/(13)*a^(18) - (83)/(13)*a^(17) - (140)/(13)*a^(16) - (189)/(13)*a^(15) - (196)/(13)*a^(14) - (93)/(13)*a^(13) - (134)/(13)*a^(12) - (190)/(13)*a^(11) - (146)/(13)*a^(10) - (162)/(13)*a^(9) - (103)/(13)*a^(8) - (141)/(13)*a^(7) - (35)/(13)*a^(6) - (96)/(13)*a^(5) - (166)/(13)*a^(4) - (7)/(13)*a^(3) + (51)/(13)*a^(2) + (76)/(13)*a - (31)/(13) , (4)/(13)*a^(28) + (8)/(13)*a^(27) + (29)/(13)*a^(26) - (20)/(13)*a^(25) - (14)/(13)*a^(24) + (24)/(13)*a^(23) - (56)/(13)*a^(22) - (8)/(13)*a^(21) + (36)/(13)*a^(20) - (45)/(13)*a^(19) + (27)/(13)*a^(18) + (54)/(13)*a^(17) - (22)/(13)*a^(16) + (21)/(13)*a^(15) + (42)/(13)*a^(14) - (59)/(13)*a^(13) - (14)/(13)*a^(12) + (24)/(13)*a^(11) - (95)/(13)*a^(10) + (5)/(13)*a^(9) + (62)/(13)*a^(8) - (84)/(13)*a^(7) + (92)/(13)*a^(6) + (54)/(13)*a^(5) - (48)/(13)*a^(4) + (60)/(13)*a^(3) + (3)/(13)*a^(2) - (98)/(13)*a + (41)/(13) ], 20099249152408180, []]