/* 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^31 + 5*x - 2, 31, 12, [1, 15], -239688824045687079876938299861083526337958758407586397043384385536, [2, 13, 17, 27768997, 113656553679773909591, 320037570123859568648600917], [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, a^28, a^29, 1/2*a^30 - 1/2*a^29 - 1/2*a^28 - 1/2*a^27 - 1/2*a^26 - 1/2*a^25 - 1/2*a^24 - 1/2*a^23 - 1/2*a^22 - 1/2*a^21 - 1/2*a^20 - 1/2*a^19 - 1/2*a^18 - 1/2*a^17 - 1/2*a^16 - 1/2*a^15 - 1/2*a^14 - 1/2*a^13 - 1/2*a^12 - 1/2*a^11 - 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a], 0, 1, [], 1, [ 3*a^(30) + a^(29) + a^(28) - a^(27) - a^(26) + a^(24) + a^(23) + a^(22) - 2*a^(20) - a^(19) + a^(17) + a^(16) + a^(15) - 3*a^(14) - a^(13) - 2*a^(12) + 2*a^(11) + 4*a^(9) - 3*a^(8) - 2*a^(7) - 4*a^(6) + a^(5) - a^(4) + 5*a^(3) - a^(2) - a + 9 , 3*a^(30) - 2*a^(29) + a^(28) - a^(26) + 2*a^(25) - 3*a^(24) + 4*a^(23) - 5*a^(22) + 6*a^(21) - 7*a^(20) + 8*a^(19) - 9*a^(18) + 10*a^(17) - 11*a^(16) + 12*a^(15) - 13*a^(14) + 14*a^(13) - 15*a^(12) + 16*a^(11) - 17*a^(10) + 18*a^(9) - 19*a^(8) + 20*a^(7) - 21*a^(6) + 22*a^(5) - 23*a^(4) + 24*a^(3) - 25*a^(2) + 25*a - 7 , (7)/(2)*a^(30) - (13)/(2)*a^(29) - (31)/(2)*a^(28) + (59)/(2)*a^(27) + (95)/(2)*a^(26) + (5)/(2)*a^(25) + (7)/(2)*a^(24) + (69)/(2)*a^(23) - (19)/(2)*a^(22) - (123)/(2)*a^(21) - (37)/(2)*a^(20) + (3)/(2)*a^(19) - (97)/(2)*a^(18) - (39)/(2)*a^(17) + (139)/(2)*a^(16) + (85)/(2)*a^(15) - (15)/(2)*a^(14) + (121)/(2)*a^(13) + (145)/(2)*a^(12) - (99)/(2)*a^(11) - (137)/(2)*a^(10) + (21)/(2)*a^(9) - (121)/(2)*a^(8) - (269)/(2)*a^(7) - (3)/(2)*a^(6) + (163)/(2)*a^(5) - (63)/(2)*a^(4) + (29)/(2)*a^(3) + (361)/(2)*a^(2) + (177)/(2)*a - 64 , (39)/(2)*a^(30) + (63)/(2)*a^(29) + (39)/(2)*a^(28) + (1)/(2)*a^(27) + (37)/(2)*a^(26) + (29)/(2)*a^(25) - (27)/(2)*a^(24) - (5)/(2)*a^(23) + (21)/(2)*a^(22) - (69)/(2)*a^(21) - (43)/(2)*a^(20) + (17)/(2)*a^(19) - (83)/(2)*a^(18) - (55)/(2)*a^(17) + (29)/(2)*a^(16) - (35)/(2)*a^(15) - (51)/(2)*a^(14) + (73)/(2)*a^(13) + (41)/(2)*a^(12) - (43)/(2)*a^(11) + (125)/(2)*a^(10) + (77)/(2)*a^(9) - (33)/(2)*a^(8) + (111)/(2)*a^(7) + (69)/(2)*a^(6) - (59)/(2)*a^(5) + (17)/(2)*a^(4) + (59)/(2)*a^(3) - (155)/(2)*a^(2) - (61)/(2)*a + 124 , 31*a^(30) + 37*a^(29) + 10*a^(28) + 3*a^(27) - 47*a^(26) - 22*a^(25) + 47*a^(24) + 4*a^(23) - 10*a^(22) - 7*a^(21) - 41*a^(20) + 43*a^(19) + 66*a^(18) - 39*a^(17) - 30*a^(16) - 36*a^(15) - 31*a^(14) + 102*a^(13) + 36*a^(12) - 75*a^(11) - 3*a^(10) - 26*a^(9) + 30*a^(8) + 122*a^(7) - 91*a^(6) - 131*a^(5) + 28*a^(4) + 14*a^(3) + 163*a^(2) + 125*a - 73 , (45)/(2)*a^(30) + (81)/(2)*a^(29) + (107)/(2)*a^(28) + (97)/(2)*a^(27) + (115)/(2)*a^(26) + (105)/(2)*a^(25) + (61)/(2)*a^(24) + (45)/(2)*a^(23) + (15)/(2)*a^(22) - (53)/(2)*a^(21) - (93)/(2)*a^(20) - (95)/(2)*a^(19) - (163)/(2)*a^(18) - (161)/(2)*a^(17) - (145)/(2)*a^(16) - (133)/(2)*a^(15) - (127)/(2)*a^(14) - (5)/(2)*a^(13) - (7)/(2)*a^(12) + (65)/(2)*a^(11) + (145)/(2)*a^(10) + (221)/(2)*a^(9) + (167)/(2)*a^(8) + (281)/(2)*a^(7) + (221)/(2)*a^(6) + (177)/(2)*a^(5) + (129)/(2)*a^(4) + (115)/(2)*a^(3) - (113)/(2)*a^(2) - (101)/(2)*a + 22 , 20*a^(30) + 23*a^(29) + 21*a^(28) + 6*a^(27) + 12*a^(26) - 7*a^(25) - 16*a^(24) - 13*a^(23) - 36*a^(22) - 29*a^(21) - 32*a^(20) - 35*a^(19) - 24*a^(18) - 14*a^(17) - 7*a^(16) + 6*a^(15) + 33*a^(14) + 21*a^(13) + 51*a^(12) + 55*a^(11) + 31*a^(10) + 66*a^(9) + 23*a^(8) + 15*a^(7) + 18*a^(6) - 32*a^(5) - 31*a^(4) - 49*a^(3) - 68*a^(2) - 80*a + 47 , (47)/(2)*a^(30) - (5)/(2)*a^(29) + (73)/(2)*a^(28) + (119)/(2)*a^(27) - (25)/(2)*a^(26) + (7)/(2)*a^(25) - (1)/(2)*a^(24) - (147)/(2)*a^(23) + (43)/(2)*a^(22) + (55)/(2)*a^(21) + (3)/(2)*a^(20) + (195)/(2)*a^(19) + (59)/(2)*a^(18) - (89)/(2)*a^(17) + (43)/(2)*a^(16) - (157)/(2)*a^(15) - (167)/(2)*a^(14) + (165)/(2)*a^(13) - (43)/(2)*a^(12) + (127)/(2)*a^(11) + (281)/(2)*a^(10) - (139)/(2)*a^(9) - (43)/(2)*a^(8) - (27)/(2)*a^(7) - (405)/(2)*a^(6) + (5)/(2)*a^(5) + (159)/(2)*a^(4) - (165)/(2)*a^(3) + (427)/(2)*a^(2) + (89)/(2)*a - 48 , 152*a^(30) + 125*a^(29) + 185*a^(28) + 146*a^(27) + 202*a^(26) + 177*a^(25) + 216*a^(24) + 188*a^(23) + 223*a^(22) + 209*a^(21) + 204*a^(20) + 206*a^(19) + 191*a^(18) + 203*a^(17) + 139*a^(16) + 193*a^(15) + 95*a^(14) + 152*a^(13) + 13*a^(12) + 130*a^(11) - 68*a^(10) + 60*a^(9) - 158*a^(8) + 17*a^(7) - 283*a^(6) - 68*a^(5) - 365*a^(4) - 138*a^(3) - 501*a^(2) - 211*a + 189 , 26*a^(30) + 23*a^(29) + 14*a^(28) + 32*a^(27) + a^(26) + 22*a^(25) - 13*a^(24) + 13*a^(23) - 23*a^(22) - 11*a^(21) - 21*a^(20) - 30*a^(19) - 26*a^(18) - 68*a^(17) - 25*a^(16) - 84*a^(15) - 39*a^(14) - 105*a^(13) - 50*a^(12) - 91*a^(11) - 88*a^(10) - 96*a^(9) - 119*a^(8) - 56*a^(7) - 146*a^(6) - 46*a^(5) - 151*a^(4) - 39*a^(3) - 151*a^(2) - 63*a + 57 , (27)/(2)*a^(30) - (11)/(2)*a^(29) - (19)/(2)*a^(28) - (85)/(2)*a^(27) - (7)/(2)*a^(26) - (41)/(2)*a^(25) + (57)/(2)*a^(24) + (67)/(2)*a^(23) + (39)/(2)*a^(22) + (57)/(2)*a^(21) - (85)/(2)*a^(20) - (23)/(2)*a^(19) - (113)/(2)*a^(18) - (27)/(2)*a^(17) + (43)/(2)*a^(16) + (47)/(2)*a^(15) + (145)/(2)*a^(14) + (15)/(2)*a^(13) + (1)/(2)*a^(12) - (63)/(2)*a^(11) - (189)/(2)*a^(10) + (23)/(2)*a^(9) - (139)/(2)*a^(8) + (227)/(2)*a^(7) + (39)/(2)*a^(6) + (169)/(2)*a^(5) + (35)/(2)*a^(4) - (147)/(2)*a^(3) - (63)/(2)*a^(2) - (259)/(2)*a + 60 , 10*a^(30) - 30*a^(29) + 13*a^(28) - 13*a^(27) - a^(26) + 22*a^(25) - 7*a^(24) + 39*a^(23) - 32*a^(22) - a^(21) - 11*a^(20) - 23*a^(19) + 27*a^(18) - 34*a^(17) + 66*a^(16) - 6*a^(15) - 5*a^(14) + 12*a^(13) - 61*a^(12) + 39*a^(11) - 73*a^(10) + 48*a^(9) + 29*a^(8) - 4*a^(7) + 71*a^(6) - 103*a^(5) + 76*a^(4) - 84*a^(3) - 37*a^(2) + 47*a + 9 , 20*a^(30) - a^(29) - 15*a^(28) + 10*a^(27) - 12*a^(26) + 28*a^(24) - 21*a^(23) - 10*a^(22) + 17*a^(21) - 18*a^(20) + 18*a^(19) + 19*a^(18) - 41*a^(17) + 11*a^(16) + 9*a^(15) - 22*a^(14) + 46*a^(13) - 13*a^(12) - 56*a^(11) + 47*a^(10) - 3*a^(9) - 12*a^(8) + 57*a^(7) - 62*a^(6) - 29*a^(5) + 72*a^(4) - 42*a^(3) + 24*a^(2) + 41*a - 21 , (43)/(2)*a^(30) - (21)/(2)*a^(29) - (3)/(2)*a^(28) - (35)/(2)*a^(27) + (63)/(2)*a^(26) - (5)/(2)*a^(25) - (7)/(2)*a^(24) - (57)/(2)*a^(23) + (37)/(2)*a^(22) + (41)/(2)*a^(21) - (15)/(2)*a^(20) - (21)/(2)*a^(19) - (65)/(2)*a^(18) + (103)/(2)*a^(17) - (7)/(2)*a^(16) + (3)/(2)*a^(15) - (105)/(2)*a^(14) + (65)/(2)*a^(13) + (35)/(2)*a^(12) + (31)/(2)*a^(11) - (67)/(2)*a^(10) - (97)/(2)*a^(9) + (157)/(2)*a^(8) - (23)/(2)*a^(7) + (53)/(2)*a^(6) - (197)/(2)*a^(5) + (95)/(2)*a^(4) + (27)/(2)*a^(3) + (129)/(2)*a^(2) - (161)/(2)*a + 48 , (3151)/(2)*a^(30) - (1731)/(2)*a^(29) - (3907)/(2)*a^(28) - (809)/(2)*a^(27) + (2307)/(2)*a^(26) + (1017)/(2)*a^(25) - (1279)/(2)*a^(24) + (309)/(2)*a^(23) + (2981)/(2)*a^(22) + (449)/(2)*a^(21) - (5233)/(2)*a^(20) - (4723)/(2)*a^(19) + (3687)/(2)*a^(18) + (8821)/(2)*a^(17) + (2217)/(2)*a^(16) - (7899)/(2)*a^(15) - (7465)/(2)*a^(14) + (2503)/(2)*a^(13) + (7359)/(2)*a^(12) + (1383)/(2)*a^(11) - (4071)/(2)*a^(10) - (163)/(2)*a^(9) + (4259)/(2)*a^(8) - (1673)/(2)*a^(7) - (9575)/(2)*a^(6) - (3139)/(2)*a^(5) + (12657)/(2)*a^(4) + (13853)/(2)*a^(3) - (5765)/(2)*a^(2) - (20301)/(2)*a + 3950 ], 1487371382989533200000, []]