/* 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^18 - 4*x^17 + 11*x^16 - 20*x^15 + 31*x^14 - 41*x^13 + 56*x^12 - 69*x^11 + 64*x^10 - 59*x^9 + 49*x^8 - 48*x^7 + 28*x^6 - 5*x^5 + 17*x^4 - 5*x^3 - 2*x^2 - x + 1, 18, 52, [0, 9], -10490638424730354432, [2, 3, 113], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/3*a^12 + 1/3*a^11 + 1/3*a^10 - 1/3*a^8 + 1/3*a^7 - 1/3*a^6 + 1/3*a^5 + 1/3*a^4 - 1/3*a^2 + 1/3, 1/3*a^13 - 1/3*a^10 - 1/3*a^9 - 1/3*a^8 + 1/3*a^7 - 1/3*a^6 - 1/3*a^4 - 1/3*a^3 + 1/3*a^2 + 1/3*a - 1/3, 1/3*a^14 - 1/3*a^11 - 1/3*a^10 - 1/3*a^9 + 1/3*a^8 - 1/3*a^7 - 1/3*a^5 - 1/3*a^4 + 1/3*a^3 + 1/3*a^2 - 1/3*a, 1/42*a^15 + 1/14*a^14 - 1/14*a^13 + 1/14*a^12 - 2/7*a^11 + 3/14*a^10 - 4/21*a^9 - 1/21*a^8 + 19/42*a^7 + 8/21*a^6 - 3/7*a^5 + 11/42*a^4 - 17/42*a^3 + 1/42*a^2 + 3/7*a - 11/42, 1/42*a^16 + 1/21*a^14 - 1/21*a^13 - 1/6*a^12 + 1/14*a^11 - 1/2*a^10 - 10/21*a^9 - 1/14*a^8 - 13/42*a^7 + 3/7*a^6 - 19/42*a^5 + 1/7*a^4 - 2/21*a^3 + 1/42*a^2 - 3/14*a + 19/42, 1/32298*a^17 - 3/10766*a^16 + 4/2307*a^15 + 719/5383*a^14 + 1023/10766*a^13 + 1535/16149*a^12 + 4657/16149*a^11 - 5113/32298*a^10 + 853/10766*a^9 + 2032/16149*a^8 + 933/10766*a^7 + 3009/10766*a^6 - 14347/32298*a^5 - 1887/5383*a^4 + 10487/32298*a^3 + 4540/16149*a^2 - 1415/5383*a - 4819/10766], 0, 1, [], 0, [ (13772)/(16149)*a^(17) - (18246)/(5383)*a^(16) + (144497)/(16149)*a^(15) - (245074)/(16149)*a^(14) + (113719)/(5383)*a^(13) - (56846)/(2307)*a^(12) + (72964)/(2307)*a^(11) - (608723)/(16149)*a^(10) + (442991)/(16149)*a^(9) - (281404)/(16149)*a^(8) + (143968)/(16149)*a^(7) - (228934)/(16149)*a^(6) + (79183)/(16149)*a^(5) + (198872)/(16149)*a^(4) + (43369)/(16149)*a^(3) - (2365)/(2307)*a^(2) - (34742)/(16149)*a + (5122)/(5383) , (15149)/(16149)*a^(17) - (8162)/(2307)*a^(16) + (7074)/(769)*a^(15) - (80715)/(5383)*a^(14) + (330749)/(16149)*a^(13) - (122578)/(5383)*a^(12) + (473063)/(16149)*a^(11) - (539150)/(16149)*a^(10) + (346282)/(16149)*a^(9) - (199775)/(16149)*a^(8) + (22867)/(5383)*a^(7) - (178117)/(16149)*a^(6) + (1285)/(2307)*a^(5) + (207643)/(16149)*a^(4) + (13052)/(2307)*a^(3) - (11183)/(16149)*a^(2) - (12993)/(5383)*a - (9428)/(16149) , (357)/(1538)*a^(17) - (22871)/(32298)*a^(16) + (3842)/(2307)*a^(15) - (30263)/(16149)*a^(14) + (52105)/(32298)*a^(13) + (632)/(2307)*a^(12) - (9068)/(16149)*a^(11) + (11561)/(4614)*a^(10) - (224737)/(32298)*a^(9) + (153814)/(16149)*a^(8) - (363337)/(32298)*a^(7) + (178751)/(32298)*a^(6) - (230129)/(32298)*a^(5) + (95180)/(16149)*a^(4) - (6659)/(10766)*a^(3) + (7324)/(5383)*a^(2) + (10097)/(5383)*a + (15649)/(32298) , (5315)/(32298)*a^(17) - (18919)/(16149)*a^(16) + (60385)/(16149)*a^(15) - (44278)/(5383)*a^(14) + (59281)/(4614)*a^(13) - (540199)/(32298)*a^(12) + (625501)/(32298)*a^(11) - (390604)/(16149)*a^(10) + (809539)/(32298)*a^(9) - (79357)/(4614)*a^(8) + (51330)/(5383)*a^(7) - (56195)/(10766)*a^(6) + (41610)/(5383)*a^(5) + (7369)/(16149)*a^(4) - (184813)/(32298)*a^(3) - (10231)/(10766)*a^(2) - (4813)/(32298)*a + (3894)/(5383) , (6751)/(32298)*a^(17) - (25385)/(32298)*a^(16) + (18615)/(10766)*a^(15) - (65119)/(32298)*a^(14) + (14437)/(16149)*a^(13) + (46391)/(32298)*a^(12) - (45760)/(16149)*a^(11) + (16958)/(5383)*a^(10) - (254315)/(32298)*a^(9) + (59929)/(5383)*a^(8) - (52390)/(5383)*a^(7) + (94921)/(32298)*a^(6) + (2727)/(10766)*a^(5) + (42529)/(10766)*a^(4) + (41402)/(16149)*a^(3) - (39035)/(10766)*a^(2) + (1475)/(2307)*a - (3338)/(5383) , (1235)/(4614)*a^(17) - (33203)/(32298)*a^(16) + (92699)/(32298)*a^(15) - (56281)/(10766)*a^(14) + (45154)/(5383)*a^(13) - (364853)/(32298)*a^(12) + (85718)/(5383)*a^(11) - (317095)/(16149)*a^(10) + (88979)/(4614)*a^(9) - (303382)/(16149)*a^(8) + (252617)/(16149)*a^(7) - (490327)/(32298)*a^(6) + (292877)/(32298)*a^(5) - (113413)/(32298)*a^(4) + (3708)/(769)*a^(3) - (3793)/(10766)*a^(2) - (5959)/(16149)*a - (2147)/(5383) , (7137)/(10766)*a^(17) - (11738)/(5383)*a^(16) + (26811)/(5383)*a^(15) - (32400)/(5383)*a^(14) + (8243)/(1538)*a^(13) - (18983)/(10766)*a^(12) + (27035)/(10766)*a^(11) - (6983)/(5383)*a^(10) - (120131)/(10766)*a^(9) + (183417)/(10766)*a^(8) - (93743)/(5383)*a^(7) + (43481)/(10766)*a^(6) - (49926)/(5383)*a^(5) + (11965)/(769)*a^(4) + (3585)/(1538)*a^(3) - (439)/(10766)*a^(2) - (19769)/(10766)*a + (3559)/(5383) , (6899)/(16149)*a^(17) - (20631)/(10766)*a^(16) + (26563)/(4614)*a^(15) - (125561)/(10766)*a^(14) + (627043)/(32298)*a^(13) - (432815)/(16149)*a^(12) + (381957)/(10766)*a^(11) - (699578)/(16149)*a^(10) + (102254)/(2307)*a^(9) - (1343851)/(32298)*a^(8) + (530552)/(16149)*a^(7) - (150019)/(5383)*a^(6) + (202989)/(10766)*a^(5) - (294671)/(32298)*a^(4) + (92527)/(10766)*a^(3) - (35194)/(16149)*a^(2) + (42121)/(32298)*a - (27227)/(16149) ], 327.87771807, [[x^2 - x + 1, 1], [x^3 - x^2 - x + 4, 1], [x^6 - 4*x^4 + 4*x^2 + 3, 1], [x^9 - 4*x^8 + 5*x^7 - 6*x^5 + 7*x^4 - x^3 - 3*x^2 + x - 1, 1]]]