/* 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 - 6*x^17 + 15*x^16 - 23*x^15 + 37*x^14 - 78*x^13 + 152*x^12 - 240*x^11 + 302*x^10 - 308*x^9 + 300*x^8 - 298*x^7 + 220*x^6 - 85*x^5 + 25*x^4 - 26*x^3 + 12*x^2 + 1, 18, 85, [0, 9], -13415474159898041623, [7, 41], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/7*a^12 - 2/7*a^11 - 2/7*a^10 + 2/7*a^9 + 1/7*a^8 + 1/7*a^6 + 1/7*a^4 - 2/7*a^3 - 2/7*a^2 + 2/7*a + 1/7, 1/7*a^13 + 1/7*a^11 - 2/7*a^10 - 2/7*a^9 + 2/7*a^8 + 1/7*a^7 + 2/7*a^6 + 1/7*a^5 + 1/7*a^3 - 2/7*a^2 - 2/7*a + 2/7, 1/7*a^14 + 2/7*a^7 - 1/7, 1/7*a^15 + 2/7*a^8 - 1/7*a, 1/91*a^16 - 2/91*a^15 - 4/91*a^14 - 4/91*a^13 + 31/91*a^11 + 29/91*a^10 + 3/91*a^9 - 5/91*a^8 + 16/91*a^7 - 36/91*a^6 + 45/91*a^5 + 6/13*a^4 + 17/91*a^3 + 3/13*a^2 - 25/91*a + 45/91, 1/294931*a^17 - 899/294931*a^16 - 17151/294931*a^15 + 18300/294931*a^14 - 57/22687*a^13 - 18975/294931*a^12 - 119038/294931*a^11 - 140228/294931*a^10 - 298/637*a^9 - 129022/294931*a^8 - 3845/294931*a^7 + 88575/294931*a^6 + 54447/294931*a^5 - 116450/294931*a^4 - 10574/294931*a^3 + 11246/294931*a^2 + 40085/294931*a - 6659/22687], 0, 1, [], 0, [ (156918)/(294931)*a^(17) - (876586)/(294931)*a^(16) + (1934731)/(294931)*a^(15) - (2652281)/(294931)*a^(14) + (4664918)/(294931)*a^(13) - (10386791)/(294931)*a^(12) + (19164477)/(294931)*a^(11) - (28939879)/(294931)*a^(10) + (75149)/(637)*a^(9) - (34123126)/(294931)*a^(8) + (35055988)/(294931)*a^(7) - (34996763)/(294931)*a^(6) + (21316868)/(294931)*a^(5) - (7807123)/(294931)*a^(4) + (5741516)/(294931)*a^(3) - (3281877)/(294931)*a^(2) + (80798)/(294931)*a - (649672)/(294931) , (115119)/(294931)*a^(17) - (690702)/(294931)*a^(16) + (1680346)/(294931)*a^(15) - (188091)/(22687)*a^(14) + (3947479)/(294931)*a^(13) - (8634905)/(294931)*a^(12) + (16638393)/(294931)*a^(11) - (1979864)/(22687)*a^(10) + (68493)/(637)*a^(9) - (31236407)/(294931)*a^(8) + (2337301)/(22687)*a^(7) - (30750851)/(294931)*a^(6) + (20973369)/(294931)*a^(5) - (6396347)/(294931)*a^(4) + (2300548)/(294931)*a^(3) - (2251394)/(294931)*a^(2) + (430645)/(294931)*a - (60227)/(294931) , (28540)/(294931)*a^(17) - (27632)/(294931)*a^(16) - (20544)/(22687)*a^(15) + (581471)/(294931)*a^(14) - (302028)/(294931)*a^(13) + (620944)/(294931)*a^(12) - (2497491)/(294931)*a^(11) + (4822205)/(294931)*a^(10) - (15810)/(637)*a^(9) + (572675)/(22687)*a^(8) - (4701972)/(294931)*a^(7) + (514503)/(22687)*a^(6) - (8085811)/(294931)*a^(5) + (723193)/(294931)*a^(4) + (177048)/(22687)*a^(3) + (1485747)/(294931)*a^(2) - (925411)/(294931)*a - (370872)/(294931) , (15674)/(294931)*a^(17) - (177313)/(294931)*a^(16) + (596315)/(294931)*a^(15) - (888816)/(294931)*a^(14) + (1028707)/(294931)*a^(13) - (2398884)/(294931)*a^(12) + (5373533)/(294931)*a^(11) - (8547424)/(294931)*a^(10) + (22536)/(637)*a^(9) - (9014038)/(294931)*a^(8) + (6585577)/(294931)*a^(7) - (7554704)/(294931)*a^(6) + (5618257)/(294931)*a^(5) + (2057946)/(294931)*a^(4) - (3528067)/(294931)*a^(3) - (400347)/(294931)*a^(2) + (730978)/(294931)*a + (479642)/(294931) , (12927)/(42133)*a^(17) - (57485)/(42133)*a^(16) + (98433)/(42133)*a^(15) - (16365)/(6019)*a^(14) + (33218)/(6019)*a^(13) - (527190)/(42133)*a^(12) + (923109)/(42133)*a^(11) - (1244949)/(42133)*a^(10) + (366)/(13)*a^(9) - (864137)/(42133)*a^(8) + (115900)/(6019)*a^(7) - (583078)/(42133)*a^(6) - (26527)/(6019)*a^(5) + (596779)/(42133)*a^(4) - (49739)/(6019)*a^(3) + (173760)/(42133)*a^(2) - (91830)/(42133)*a + (3186)/(42133) , (136770)/(294931)*a^(17) - (582552)/(294931)*a^(16) + (1026938)/(294931)*a^(15) - (1445905)/(294931)*a^(14) + (2981220)/(294931)*a^(13) - (6095767)/(294931)*a^(12) + (10752814)/(294931)*a^(11) - (15699231)/(294931)*a^(10) + (38148)/(637)*a^(9) - (17525507)/(294931)*a^(8) + (18578181)/(294931)*a^(7) - (15418947)/(294931)*a^(6) + (8546647)/(294931)*a^(5) - (3989068)/(294931)*a^(4) + (1519551)/(294931)*a^(3) + (79424)/(294931)*a^(2) + (436000)/(294931)*a - (152515)/(294931) , (159195)/(294931)*a^(17) - (810477)/(294931)*a^(16) + (1462768)/(294931)*a^(15) - (1414656)/(294931)*a^(14) + (2825334)/(294931)*a^(13) - (7541497)/(294931)*a^(12) + (12953266)/(294931)*a^(11) - (16675012)/(294931)*a^(10) + (33281)/(637)*a^(9) - (9708081)/(294931)*a^(8) + (10646893)/(294931)*a^(7) - (11598898)/(294931)*a^(6) - (2597384)/(294931)*a^(5) + (9304640)/(294931)*a^(4) + (439631)/(294931)*a^(3) - (145499)/(22687)*a^(2) - (1921637)/(294931)*a - (372867)/(294931) , (77771)/(294931)*a^(17) - (351305)/(294931)*a^(16) + (621606)/(294931)*a^(15) - (814798)/(294931)*a^(14) + (1766255)/(294931)*a^(13) - (3788370)/(294931)*a^(12) + (6473814)/(294931)*a^(11) - (9436270)/(294931)*a^(10) + (1796)/(49)*a^(9) - (10956132)/(294931)*a^(8) + (12722295)/(294931)*a^(7) - (11587495)/(294931)*a^(6) + (503005)/(22687)*a^(5) - (4358842)/(294931)*a^(4) + (3511343)/(294931)*a^(3) - (1011545)/(294931)*a^(2) + (496569)/(294931)*a - (203439)/(294931) ], 765.05787444, [[x^2 - x + 2, 1], [x^3 - x^2 - 2*x + 1, 1], [x^6 - x^5 + x^4 - x^3 + x^2 - x + 1, 1], [x^9 - 4*x^8 + 10*x^7 - 15*x^6 + 17*x^5 - 16*x^4 + 13*x^3 - 8*x^2 + 1, 3]]]