/* 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^17 - 5*x^15 - x^14 + 5*x^13 + 6*x^12 + 9*x^11 - 16*x^10 - 21*x^9 + 19*x^8 + 13*x^7 - 5*x^6 - 4*x^5 - 5*x^4 + 3*x^3 - x + 1, 17, 10, [5, 6], 3621113810274499901, [55954279, 64715583419], [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, 1/1018643*a^16 + 36148/1018643*a^15 - 241070/1018643*a^14 + 292504/1018643*a^13 - 79743/1018643*a^12 + 209732/1018643*a^11 - 367504/1018643*a^10 - 411245/1018643*a^9 + 391661/1018643*a^8 - 357210/1018643*a^7 - 108399/1018643*a^6 + 312564/1018643*a^5 - 224688/1018643*a^4 - 381190/1018643*a^3 - 72256/1018643*a^2 - 109236/1018643*a - 402661/1018643], 0, 1, [], 0, [ a , (170896)/(1018643)*a^(16) - (521187)/(1018643)*a^(15) - (919871)/(1018643)*a^(14) + (1932931)/(1018643)*a^(13) + (1683612)/(1018643)*a^(12) + (387274)/(1018643)*a^(11) - (1548062)/(1018643)*a^(10) - (8019522)/(1018643)*a^(9) + (2341298)/(1018643)*a^(8) + (10682617)/(1018643)*a^(7) - (932549)/(1018643)*a^(6) - (4757505)/(1018643)*a^(5) - (3588492)/(1018643)*a^(4) + (1429539)/(1018643)*a^(3) + (2784999)/(1018643)*a^(2) - (343838)/(1018643)*a + (254966)/(1018643) , (294536)/(1018643)*a^(16) + (30692)/(1018643)*a^(15) - (1320491)/(1018643)*a^(14) - (810867)/(1018643)*a^(13) + (686046)/(1018643)*a^(12) + (3112832)/(1018643)*a^(11) + (3958894)/(1018643)*a^(10) - (3692762)/(1018643)*a^(9) - (7130026)/(1018643)*a^(8) - (662305)/(1018643)*a^(7) + (5012900)/(1018643)*a^(6) + (5563751)/(1018643)*a^(5) - (1543630)/(1018643)*a^(4) - (3420952)/(1018643)*a^(3) - (503660)/(1018643)*a^(2) - (95341)/(1018643)*a + (406908)/(1018643) , (528514)/(1018643)*a^(16) + (74607)/(1018643)*a^(15) - (2096755)/(1018643)*a^(14) - (877196)/(1018643)*a^(13) + (43580)/(1018643)*a^(12) + (2660203)/(1018643)*a^(11) + (6894113)/(1018643)*a^(10) - (3938949)/(1018643)*a^(9) - (6234134)/(1018643)*a^(8) + (1751751)/(1018643)*a^(7) - (1906766)/(1018643)*a^(6) + (3151872)/(1018643)*a^(5) + (2647308)/(1018643)*a^(4) - (2132335)/(1018643)*a^(3) - (400157)/(1018643)*a^(2) - (1163279)/(1018643)*a - (136123)/(1018643) , (470725)/(1018643)*a^(16) + (354628)/(1018643)*a^(15) - (1864193)/(1018643)*a^(14) - (2047553)/(1018643)*a^(13) - (29125)/(1018643)*a^(12) + (3290712)/(1018643)*a^(11) + (6894862)/(1018643)*a^(10) - (1405548)/(1018643)*a^(9) - (9758775)/(1018643)*a^(8) - (2314526)/(1018643)*a^(7) + (4839096)/(1018643)*a^(6) + (3987195)/(1018643)*a^(5) + (462533)/(1018643)*a^(4) - (2716943)/(1018643)*a^(3) - (2253116)/(1018643)*a^(2) - (36103)/(1018643)*a - (640286)/(1018643) , (18707)/(1018643)*a^(16) - (158316)/(1018643)*a^(15) - (163929)/(1018643)*a^(14) + (740775)/(1018643)*a^(13) + (559694)/(1018643)*a^(12) - (356312)/(1018643)*a^(11) - (1094364)/(1018643)*a^(10) - (2405565)/(1018643)*a^(9) + (1740514)/(1018643)*a^(8) + (4045182)/(1018643)*a^(7) - (720523)/(1018643)*a^(6) - (2932001)/(1018643)*a^(5) - (2354684)/(1018643)*a^(4) + (1616956)/(1018643)*a^(3) + (2083555)/(1018643)*a^(2) - (79994)/(1018643)*a + (285658)/(1018643) , (48090)/(1018643)*a^(16) - (466281)/(1018643)*a^(15) + (119683)/(1018643)*a^(14) + (2113459)/(1018643)*a^(13) - (668618)/(1018643)*a^(12) - (1609749)/(1018643)*a^(11) - (1848596)/(1018643)*a^(10) - (3892777)/(1018643)*a^(9) + (8417564)/(1018643)*a^(8) + (5259867)/(1018643)*a^(7) - (9679466)/(1018643)*a^(6) + (106652)/(1018643)*a^(5) + (1537667)/(1018643)*a^(4) + (72328)/(1018643)*a^(3) + (1837519)/(1018643)*a^(2) - (1035932)/(1018643)*a + (435940)/(1018643) , (313243)/(1018643)*a^(16) + (891019)/(1018643)*a^(15) - (1484420)/(1018643)*a^(14) - (4144664)/(1018643)*a^(13) + (227097)/(1018643)*a^(12) + (3775163)/(1018643)*a^(11) + (7957745)/(1018643)*a^(10) + (4088103)/(1018643)*a^(9) - (16594585)/(1018643)*a^(8) - (7822196)/(1018643)*a^(7) + (12441521)/(1018643)*a^(6) + (4669036)/(1018643)*a^(5) - (842385)/(1018643)*a^(4) - (3841282)/(1018643)*a^(3) - (1476034)/(1018643)*a^(2) + (843308)/(1018643)*a - (326077)/(1018643) , (299438)/(1018643)*a^(16) - (15694)/(1018643)*a^(15) - (1419751)/(1018643)*a^(14) - (186960)/(1018643)*a^(13) + (944772)/(1018643)*a^(12) + (1371023)/(1018643)*a^(11) + (3415110)/(1018643)*a^(10) - (3721255)/(1018643)*a^(9) - (4293930)/(1018643)*a^(8) + (4434807)/(1018643)*a^(7) - (739210)/(1018643)*a^(6) - (1417094)/(1018643)*a^(5) + (1244806)/(1018643)*a^(4) + (251502)/(1018643)*a^(3) + (803835)/(1018643)*a^(2) - (1801281)/(1018643)*a - (325823)/(1018643) , (236287)/(1018643)*a^(16) - (19079)/(1018643)*a^(15) - (1227816)/(1018643)*a^(14) - (34902)/(1018643)*a^(13) + (1642616)/(1018643)*a^(12) + (981777)/(1018643)*a^(11) + (860816)/(1018643)*a^(10) - (4510188)/(1018643)*a^(9) - (4407058)/(1018643)*a^(8) + (7810211)/(1018643)*a^(7) + (4578294)/(1018643)*a^(6) - (4956776)/(1018643)*a^(5) - (3254868)/(1018643)*a^(4) + (209816)/(1018643)*a^(3) + (2359137)/(1018643)*a^(2) - (670398)/(1018643)*a - (266221)/(1018643) ], 284.067800863, []]