/* 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^20 - 36*x^15 + 2486*x^10 - 47916*x^5 + 1771561, 20, 26, [0, 10], 23383113568432629108428955078125, [5, 11], [1, a, a^2, a^3, a^4, 1/2*a^5 - 1/2, 1/2*a^6 - 1/2*a, 1/10*a^7 + 1/5*a^6 + 1/10*a^5 + 1/10*a^2 + 1/5*a + 1/10, 1/10*a^8 + 1/5*a^6 - 1/5*a^5 + 1/10*a^3 + 1/5*a - 1/5, 1/10*a^9 - 1/10*a^6 - 1/5*a^5 + 1/10*a^4 - 1/10*a - 1/5, 1/660*a^10 + 27/110*a^5 + 11/60, 1/660*a^11 + 27/110*a^6 + 11/60*a, 1/660*a^12 + 1/22*a^7 + 1/10*a^6 - 1/5*a^5 - 1/60*a^2 + 1/10*a - 1/5, 1/7260*a^13 - 3/605*a^8 - 1/10*a^6 + 1/10*a^5 - 247/660*a^3 - 1/10*a + 1/10, 1/36300*a^14 - 1/36300*a^13 + 1/3300*a^12 - 1/3300*a^11 + 1/3300*a^10 - 124/3025*a^9 + 124/3025*a^8 + 27/550*a^7 - 27/550*a^6 + 27/550*a^5 + 1601/3300*a^4 - 1601/3300*a^3 - 49/300*a^2 + 49/300*a - 49/300, 1/798600*a^15 - 157/798600*a^10 - 10147/72600*a^5 - 89/600, 1/798600*a^16 - 157/798600*a^11 - 10147/72600*a^6 - 89/600*a, 1/8784600*a^17 - 1367/8784600*a^12 - 20707/798600*a^7 + 1/5*a^6 + 1/10*a^5 - 1939/6600*a^2 + 1/5*a + 1/10, 1/8784600*a^18 - 157/8784600*a^13 - 24667/798600*a^8 + 1/10*a^6 - 1/10*a^5 + 2191/6600*a^3 + 1/10*a - 1/10, 1/96630600*a^19 + 259/19326120*a^14 - 1/36300*a^13 + 1/3300*a^12 - 1/3300*a^11 + 1/3300*a^10 + 98357/8784600*a^9 + 124/3025*a^8 + 27/550*a^7 - 137/550*a^6 + 41/275*a^5 + 30643/72600*a^4 - 1601/3300*a^3 - 49/300*a^2 - 11/300*a - 19/300], 0, 5, [5], 1, [ (1)/(26620)*a^(15) - (9)/(6655)*a^(10) + (21)/(484)*a^(5) - (2)/(5) , (161)/(96630600)*a^(19) - (1)/(732050)*a^(18) - (8)/(1098075)*a^(17) - (1)/(199650)*a^(16) - (1)/(72600)*a^(15) + (859)/(96630600)*a^(14) + (193)/(1464100)*a^(13) + (96)/(366025)*a^(12) - (49)/(399300)*a^(11) + (1)/(24200)*a^(10) - (7)/(1756920)*a^(9) - (212)/(33275)*a^(8) - (457)/(39930)*a^(7) + (107)/(9075)*a^(6) - (41)/(6600)*a^(5) + (8207)/(72600)*a^(4) + (67)/(1100)*a^(3) - (39)/(550)*a^(2) - (19)/(60)*a - (17)/(40) , (9)/(8052550)*a^(19) - (3)/(585640)*a^(18) + (8)/(1098075)*a^(17) - (1)/(72600)*a^(16) + (7)/(798600)*a^(15) - (2303)/(24157650)*a^(14) + (1741)/(8784600)*a^(13) - (96)/(366025)*a^(12) + (1)/(24200)*a^(11) - (41)/(53240)*a^(10) + (1743)/(366025)*a^(9) - (2191)/(266200)*a^(8) + (457)/(39930)*a^(7) - (41)/(6600)*a^(6) + (1439)/(72600)*a^(5) - (761)/(9075)*a^(4) + (581)/(6600)*a^(3) + (39)/(550)*a^(2) - (17)/(40)*a - (93)/(200) , (71)/(48315300)*a^(19) + (13)/(2196150)*a^(18) - (3)/(292820)*a^(17) + (1)/(159720)*a^(16) - (1)/(14520)*a^(15) - (213)/(4026275)*a^(14) - (191)/(1464100)*a^(13) + (2951)/(4392300)*a^(12) + (61)/(266200)*a^(11) + (49)/(24200)*a^(10) + (281)/(878460)*a^(9) + (1013)/(199650)*a^(8) - (3511)/(133100)*a^(7) - (179)/(72600)*a^(6) - (241)/(6600)*a^(5) - (63)/(6050)*a^(4) + (29)/(220)*a^(3) + (1411)/(3300)*a^(2) + (21)/(200)*a - (81)/(200) , (83)/(48315300)*a^(19) + (1)/(732050)*a^(18) - (17)/(1756920)*a^(17) - (7)/(798600)*a^(16) + (7)/(798600)*a^(15) - (4319)/(48315300)*a^(14) - (193)/(1464100)*a^(13) + (1729)/(8784600)*a^(12) + (41)/(53240)*a^(11) - (41)/(53240)*a^(10) + (8473)/(4392300)*a^(9) + (212)/(33275)*a^(8) - (5537)/(798600)*a^(7) - (1439)/(72600)*a^(6) + (1439)/(72600)*a^(5) + (91)/(7260)*a^(4) - (67)/(1100)*a^(3) - (691)/(6600)*a^(2) + (93)/(200)*a - (93)/(200) , (629)/(96630600)*a^(19) - (101)/(8784600)*a^(18) + (29)/(1756920)*a^(17) + (1)/(798600)*a^(16) - (1)/(19965)*a^(15) - (8003)/(96630600)*a^(14) + (127)/(8784600)*a^(13) + (287)/(1756920)*a^(12) - (1367)/(798600)*a^(11) + (53)/(15972)*a^(10) + (79597)/(8784600)*a^(9) - (12673)/(798600)*a^(8) + (3529)/(159720)*a^(7) + (1073)/(72600)*a^(6) - (83)/(1815)*a^(5) - (8971)/(72600)*a^(4) + (899)/(6600)*a^(3) + (331)/(1320)*a^(2) - (1159)/(600)*a + (269)/(60) , (169)/(32210200)*a^(19) + (101)/(8784600)*a^(18) + (1)/(585640)*a^(17) - (17)/(798600)*a^(16) - (19)/(266200)*a^(15) - (4753)/(32210200)*a^(14) - (127)/(8784600)*a^(13) + (1223)/(1756920)*a^(12) + (83)/(266200)*a^(11) - (731)/(798600)*a^(10) + (19197)/(2928200)*a^(9) + (12673)/(798600)*a^(8) + (21)/(10648)*a^(7) - (1081)/(72600)*a^(6) - (2347)/(24200)*a^(5) - (6381)/(24200)*a^(4) - (899)/(6600)*a^(3) + (227)/(264)*a^(2) + (251)/(200)*a - (667)/(600) , (79)/(96630600)*a^(19) - (1)/(8784600)*a^(18) + (37)/(2928200)*a^(17) + (13)/(266200)*a^(16) + (1)/(133100)*a^(15) + (3811)/(96630600)*a^(14) + (1101)/(2928200)*a^(13) - (1)/(2928200)*a^(12) - (557)/(798600)*a^(11) + (94)/(99825)*a^(10) + (2143)/(1756920)*a^(9) - (1601)/(798600)*a^(8) + (5337)/(266200)*a^(7) + (1893)/(24200)*a^(6) + (61)/(12100)*a^(5) - (457)/(72600)*a^(4) + (19)/(40)*a^(3) + (79)/(440)*a^(2) - (137)/(120)*a - (8)/(15) , (29)/(8052550)*a^(19) - (1)/(2196150)*a^(18) - (43)/(1756920)*a^(17) - (1)/(399300)*a^(16) + (13)/(798600)*a^(15) - (757)/(16105100)*a^(14) + (677)/(4392300)*a^(13) + (6409)/(8784600)*a^(12) - (17)/(79860)*a^(11) - (519)/(266200)*a^(10) + (2188)/(366025)*a^(9) + (23)/(39930)*a^(8) - (21607)/(798600)*a^(7) - (677)/(36300)*a^(6) - (1363)/(72600)*a^(5) + (277)/(12100)*a^(4) + (421)/(3300)*a^(3) + (3329)/(6600)*a^(2) + (127)/(300)*a - (311)/(200) ], 45537996.331, [[x^2 - x - 1, 1], [x^4 - x^3 + x^2 - x + 1, 1]]]