/* 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^25 - 5*x - 3, 25, 211, [3, 11], -15898366049400615492894758682139527797698974609375, [3, 5, 409, 11545399656835619219], [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, 1/5*a^24 - 2/5*a^23 - 1/5*a^22 + 2/5*a^21 + 1/5*a^20 - 2/5*a^19 - 1/5*a^18 + 2/5*a^17 + 1/5*a^16 - 2/5*a^15 - 1/5*a^14 + 2/5*a^13 + 1/5*a^12 - 2/5*a^11 - 1/5*a^10 + 2/5*a^9 + 1/5*a^8 - 2/5*a^7 - 1/5*a^6 + 2/5*a^5 + 1/5*a^4 - 2/5*a^3 - 1/5*a^2 + 2/5*a + 1/5], 0, 1, [], 1, [ a + 1 , a^(23) - a^(22) - a^(21) + a^(20) - a^(18) + a^(16) + a^(13) + a^(12) - a^(11) + a^(10) + 3*a^(9) - a^(8) - 2*a^(7) + 4*a^(6) - 6*a^(4) + 2*a^(3) + 5*a^(2) - 7*a - 5 , (7)/(5)*a^(24) - (19)/(5)*a^(23) + (18)/(5)*a^(22) - (6)/(5)*a^(21) - (13)/(5)*a^(20) + (26)/(5)*a^(19) - (22)/(5)*a^(18) - (1)/(5)*a^(17) + (22)/(5)*a^(16) - (29)/(5)*a^(15) + (18)/(5)*a^(14) + (4)/(5)*a^(13) - (28)/(5)*a^(12) + (31)/(5)*a^(11) - (17)/(5)*a^(10) - (6)/(5)*a^(9) + (22)/(5)*a^(8) - (34)/(5)*a^(7) + (23)/(5)*a^(6) + (4)/(5)*a^(5) - (33)/(5)*a^(4) + (41)/(5)*a^(3) - (37)/(5)*a^(2) - (6)/(5)*a + (22)/(5) , (33)/(5)*a^(24) + (14)/(5)*a^(23) - (43)/(5)*a^(22) + (6)/(5)*a^(21) + (43)/(5)*a^(20) - (31)/(5)*a^(19) - (33)/(5)*a^(18) + (56)/(5)*a^(17) + (18)/(5)*a^(16) - (71)/(5)*a^(15) + (12)/(5)*a^(14) + (71)/(5)*a^(13) - (57)/(5)*a^(12) - (51)/(5)*a^(11) + (97)/(5)*a^(10) + (6)/(5)*a^(9) - (117)/(5)*a^(8) + (44)/(5)*a^(7) + (107)/(5)*a^(6) - (89)/(5)*a^(5) - (62)/(5)*a^(4) + (144)/(5)*a^(3) - (3)/(5)*a^(2) - (184)/(5)*a - (82)/(5) , (63)/(5)*a^(24) + (69)/(5)*a^(23) + (62)/(5)*a^(22) + (26)/(5)*a^(21) - (17)/(5)*a^(20) - (56)/(5)*a^(19) - (98)/(5)*a^(18) - (124)/(5)*a^(17) - (102)/(5)*a^(16) - (51)/(5)*a^(15) + (17)/(5)*a^(14) + (96)/(5)*a^(13) + (163)/(5)*a^(12) + (194)/(5)*a^(11) + (177)/(5)*a^(10) + (96)/(5)*a^(9) - (17)/(5)*a^(8) - (141)/(5)*a^(7) - (268)/(5)*a^(6) - (334)/(5)*a^(5) - (287)/(5)*a^(4) - (176)/(5)*a^(3) - (3)/(5)*a^(2) + (231)/(5)*a + (118)/(5) , (22)/(5)*a^(24) - (9)/(5)*a^(23) + (3)/(5)*a^(22) - (16)/(5)*a^(21) + (22)/(5)*a^(20) - (14)/(5)*a^(19) - (2)/(5)*a^(18) - (21)/(5)*a^(17) + (27)/(5)*a^(16) - (9)/(5)*a^(15) + (3)/(5)*a^(14) - (16)/(5)*a^(13) + (42)/(5)*a^(12) - (4)/(5)*a^(11) - (2)/(5)*a^(10) - (31)/(5)*a^(9) + (37)/(5)*a^(8) - (14)/(5)*a^(7) - (17)/(5)*a^(6) - (46)/(5)*a^(5) + (47)/(5)*a^(4) + (1)/(5)*a^(3) - (2)/(5)*a^(2) - (31)/(5)*a - (28)/(5) , 15*a^(24) + 6*a^(23) - 22*a^(22) + 18*a^(21) + 8*a^(20) - 28*a^(19) + 18*a^(18) + 12*a^(17) - 33*a^(16) + 21*a^(15) + 18*a^(14) - 39*a^(13) + 22*a^(12) + 24*a^(11) - 51*a^(10) + 22*a^(9) + 32*a^(8) - 56*a^(7) + 26*a^(6) + 44*a^(5) - 69*a^(4) + 22*a^(3) + 54*a^(2) - 83*a - 56 , (4)/(5)*a^(24) - (8)/(5)*a^(23) - (14)/(5)*a^(22) + (13)/(5)*a^(21) + (19)/(5)*a^(20) - (18)/(5)*a^(19) - (9)/(5)*a^(18) + (3)/(5)*a^(17) + (4)/(5)*a^(16) + (17)/(5)*a^(15) + (1)/(5)*a^(14) - (42)/(5)*a^(13) + (9)/(5)*a^(12) + (42)/(5)*a^(11) - (4)/(5)*a^(10) - (22)/(5)*a^(9) - (11)/(5)*a^(8) - (18)/(5)*a^(7) + (51)/(5)*a^(6) + (43)/(5)*a^(5) - (66)/(5)*a^(4) - (53)/(5)*a^(3) + (51)/(5)*a^(2) + (33)/(5)*a - (1)/(5) , (33)/(5)*a^(24) - (21)/(5)*a^(23) + (17)/(5)*a^(22) - (9)/(5)*a^(21) - (7)/(5)*a^(20) - (11)/(5)*a^(19) - (3)/(5)*a^(18) - (9)/(5)*a^(17) + (23)/(5)*a^(16) - (6)/(5)*a^(15) + (12)/(5)*a^(14) + (1)/(5)*a^(13) - (2)/(5)*a^(12) + (9)/(5)*a^(11) + (12)/(5)*a^(10) - (19)/(5)*a^(9) + (3)/(5)*a^(8) - (46)/(5)*a^(7) - (13)/(5)*a^(6) + (6)/(5)*a^(5) + (13)/(5)*a^(4) + (29)/(5)*a^(3) + (27)/(5)*a^(2) - (19)/(5)*a - (127)/(5) , (18)/(5)*a^(24) - (6)/(5)*a^(23) + (2)/(5)*a^(22) + (1)/(5)*a^(21) + (18)/(5)*a^(20) - (16)/(5)*a^(19) + (17)/(5)*a^(18) + (11)/(5)*a^(17) - (17)/(5)*a^(16) + (19)/(5)*a^(15) - (3)/(5)*a^(14) - (9)/(5)*a^(13) - (12)/(5)*a^(12) + (19)/(5)*a^(11) - (53)/(5)*a^(10) + (11)/(5)*a^(9) - (12)/(5)*a^(8) - (41)/(5)*a^(7) - (8)/(5)*a^(6) + (1)/(5)*a^(5) - (42)/(5)*a^(4) - (16)/(5)*a^(3) + (42)/(5)*a^(2) - (69)/(5)*a - (52)/(5) , (9)/(5)*a^(24) - (23)/(5)*a^(23) - (9)/(5)*a^(22) - (12)/(5)*a^(21) - (31)/(5)*a^(20) - (3)/(5)*a^(19) - (34)/(5)*a^(18) - (7)/(5)*a^(17) - (11)/(5)*a^(16) - (18)/(5)*a^(15) + (21)/(5)*a^(14) - (17)/(5)*a^(13) + (39)/(5)*a^(12) + (12)/(5)*a^(11) + (41)/(5)*a^(10) + (58)/(5)*a^(9) + (29)/(5)*a^(8) + (82)/(5)*a^(7) + (26)/(5)*a^(6) + (63)/(5)*a^(5) + (49)/(5)*a^(4) - (3)/(5)*a^(3) + (46)/(5)*a^(2) - (72)/(5)*a - (61)/(5) , (17)/(5)*a^(24) - (19)/(5)*a^(23) + (3)/(5)*a^(22) + (19)/(5)*a^(21) - (13)/(5)*a^(20) - (4)/(5)*a^(19) + (28)/(5)*a^(18) - (26)/(5)*a^(17) + (2)/(5)*a^(16) + (11)/(5)*a^(15) - (12)/(5)*a^(14) - (21)/(5)*a^(13) + (27)/(5)*a^(12) - (9)/(5)*a^(11) - (27)/(5)*a^(10) + (54)/(5)*a^(9) - (13)/(5)*a^(8) - (24)/(5)*a^(7) + (53)/(5)*a^(6) - (6)/(5)*a^(5) - (68)/(5)*a^(4) + (81)/(5)*a^(3) - (47)/(5)*a^(2) - (66)/(5)*a + (2)/(5) , (78)/(5)*a^(24) - (6)/(5)*a^(23) - (73)/(5)*a^(22) + (101)/(5)*a^(21) - (77)/(5)*a^(20) - (1)/(5)*a^(19) + (107)/(5)*a^(18) - (149)/(5)*a^(17) + (83)/(5)*a^(16) + (29)/(5)*a^(15) - (118)/(5)*a^(14) + (166)/(5)*a^(13) - (112)/(5)*a^(12) - (51)/(5)*a^(11) + (177)/(5)*a^(10) - (184)/(5)*a^(9) + (98)/(5)*a^(8) + (64)/(5)*a^(7) - (248)/(5)*a^(6) + (266)/(5)*a^(5) - (72)/(5)*a^(4) - (136)/(5)*a^(3) + (262)/(5)*a^(2) - (294)/(5)*a - (262)/(5) ], 1137438749492350.0, []]