/* 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 + 78*x^18 + 2331*x^16 + 34488*x^14 + 274536*x^12 + 1203552*x^10 + 2835648*x^8 + 3302208*x^6 + 1586304*x^4 + 279936*x^2 + 15552, 20, 157, [0, 10], 148184566209122179801351864839045120000, [2, 3, 5, 173], [1, a, a^2, a^3, 1/3*a^4, 1/3*a^5, 1/3*a^6, 1/6*a^7 - 1/2*a^3, 1/18*a^8 - 1/6*a^4, 1/18*a^9 - 1/6*a^5, 1/36*a^10 + 1/12*a^6 - 1/6*a^4, 1/36*a^11 - 1/12*a^7 - 1/6*a^5 - 1/2*a^3, 1/864*a^12 - 1/144*a^10 + 5/288*a^8 + 1/24*a^6 + 1/24*a^4 - 1/2*a^2 - 1/4, 1/1728*a^13 + 1/96*a^11 - 11/576*a^9 - 1/36*a^8 + 1/16*a^7 + 1/48*a^5 - 1/12*a^4 - 1/4*a^3 - 1/2*a^2 - 1/8*a, 1/1728*a^14 - 7/576*a^10 - 1/36*a^9 + 5/288*a^8 + 7/48*a^6 - 1/12*a^5 + 1/24*a^4 - 1/2*a^3 + 3/8*a^2 + 1/4, 1/1728*a^15 - 7/576*a^11 + 5/288*a^9 - 1/48*a^7 + 1/24*a^5 - 1/8*a^3 + 1/4*a, 1/51840*a^16 - 1/8640*a^14 - 1/5760*a^12 - 1/72*a^11 + 13/1440*a^10 - 5/288*a^8 - 1/24*a^7 + 1/8*a^6 - 1/12*a^5 - 37/240*a^4 - 1/2*a^3 - 1/10*a^2 - 3/10, 1/51840*a^17 - 1/8640*a^15 - 1/5760*a^13 + 13/1440*a^11 - 5/288*a^9 - 1/24*a^7 - 37/240*a^5 + 2/5*a^3 - 3/10*a, 1/12621585265920*a^18 - 10556197/1577698158240*a^16 - 73008181/1402398362880*a^14 + 374646151/701199181440*a^12 - 649574467/70119918144*a^10 - 180849059/8764989768*a^8 + 1279182043/58433265120*a^6 - 1/6*a^5 - 3865135997/29216632560*a^4 - 730280243/2434719380*a^2 - 1/2*a - 52967555/486943876, 1/12621585265920*a^19 - 10556197/1577698158240*a^17 - 73008181/1402398362880*a^15 - 93421237/2103597544320*a^13 + 63087247/7791102016*a^11 - 107696813/70119918144*a^9 - 1/36*a^8 + 2496541733/58433265120*a^7 - 1/6*a^6 + 65937153/4869438760*a^5 - 1/12*a^4 - 60800199/1217359690*a^3 + 15800859/973887752*a], 1, 1968, [2, 2, 492], 1, [ (5175623)/(87649897680)*a^(18) + (7272657271)/(1577698158240)*a^(16) + (36279943849)/(262949693040)*a^(14) + (538375006787)/(262949693040)*a^(12) + (71830329317)/(4382494884)*a^(10) + (2544089074759)/(35059959072)*a^(8) + (844170875883)/(4869438760)*a^(6) + (2975673860093)/(14608316280)*a^(4) + (57163696256)/(608679845)*a^(2) + (6486237445)/(486943876) , (372104101)/(6310792632960)*a^(18) + (3570447007)/(788849079120)*a^(16) + (92603562751)/(701199181440)*a^(14) + (396810431323)/(210359754432)*a^(12) + (2504959485061)/(175299795360)*a^(10) + (2058804198323)/(35059959072)*a^(8) + (1241699182291)/(9738877520)*a^(6) + (321408022871)/(2434719380)*a^(4) + (12147584677)/(243471938)*a^(2) + (11424282723)/(2434719380) , (1076405)/(26854436736)*a^(18) + (207923363)/(67136091840)*a^(16) + (1361610431)/(14919131520)*a^(14) + (7401798949)/(5594674320)*a^(12) + (38166318463)/(3729782880)*a^(10) + (4022088665)/(93244572)*a^(8) + (3974954885)/(41442032)*a^(6) + (15630911167)/(155407620)*a^(4) + (945361349)/(25901270)*a^(2) + (35507451)/(12950635) , (164744489)/(2103597544320)*a^(18) + (958137197)/(157769815824)*a^(16) + (75677938111)/(420719508864)*a^(14) + (2761547515753)/(1051798772160)*a^(12) + (1197070836667)/(58433265120)*a^(10) + (1020732155387)/(11686653024)*a^(8) + (5798942623171)/(29216632560)*a^(6) + (1616540839147)/(7304158140)*a^(4) + (60078973261)/(608679845)*a^(2) + (28718392953)/(2434719380) , (58825673)/(1051798772160)*a^(18) + (13709637251)/(3155396316480)*a^(16) + (135675213493)/(1051798772160)*a^(14) + (1985416849849)/(1051798772160)*a^(12) + (32305019885)/(2191247442)*a^(10) + (45607999075)/(730415814)*a^(8) + (669514232379)/(4869438760)*a^(6) + (2015386582969)/(14608316280)*a^(4) + (27908284273)/(608679845)*a^(2) + (2196797879)/(243471938) , (958033)/(7459565760)*a^(18) + (222805157)/(22378697280)*a^(16) + (6595689353)/(22378697280)*a^(14) + (32053334591)/(7459565760)*a^(12) + (41553912341)/(1243260960)*a^(10) + (26313513787)/(186489144)*a^(8) + (12034493792)/(38851905)*a^(6) + (94816243661)/(310815240)*a^(4) + (4447432229)/(51802540)*a^(2) + (161054027)/(25901270) , (319921)/(29216632560)*a^(18) + (2549399089)/(3155396316480)*a^(16) + (11626104331)/(525899386080)*a^(14) + (99393104099)/(350599590720)*a^(12) + (78056009723)/(43824948840)*a^(10) + (5068149193)/(973887752)*a^(8) + (3173917066)/(608679845)*a^(6) - (46701650071)/(14608316280)*a^(4) - (7384988017)/(1217359690)*a^(2) - (844172407)/(1217359690) , (496403683)/(1262158526592)*a^(18) + (96597040007)/(3155396316480)*a^(16) + (213132109363)/(233733060480)*a^(14) + (7057756673417)/(525899386080)*a^(12) + (2063084526543)/(19477755040)*a^(10) + (8025922963963)/(17529979536)*a^(8) + (2049675094015)/(1947775504)*a^(6) + (8513776360613)/(7304158140)*a^(4) + (297246889753)/(608679845)*a^(2) + (67568682953)/(1217359690) , (900086149)/(6310792632960)*a^(18) + (17557803713)/(1577698158240)*a^(16) + (699629298581)/(2103597544320)*a^(14) + (1723268350031)/(350599590720)*a^(12) + (2276415780551)/(58433265120)*a^(10) + (5917364816651)/(35059959072)*a^(8) + (11312082370717)/(29216632560)*a^(6) + (1560883489439)/(3652079070)*a^(4) + (221681635377)/(1217359690)*a^(2) + (51086027799)/(2434719380) ], 255930231.626, [[x^2 - 6, 1], [x^4 + 6*x^2 + 3, 1], [x^10 - 24*x^8 - 32*x^7 + 118*x^6 + 216*x^5 - 152*x^4 - 400*x^3 + x^2 + 216*x + 48, 1]]]