/* 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 - 5*x^18 - 2*x^17 + 5*x^16 + 8*x^15 + 2*x^14 - 16*x^13 + 21*x^12 + 28*x^11 - 119*x^10 - 150*x^9 + 61*x^8 + 164*x^7 + 62*x^6 - 4*x^5 + 149*x^4 + 396*x^3 + 327*x^2 + 58*x - 31, 20, 32, [4, 8], 28888165452349440000000000, [2, 3, 5], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/2*a^12 - 1/2*a^10 - 1/2*a^6 - 1/2*a^2 - 1/2, 1/2*a^13 - 1/2*a^11 - 1/2*a^7 - 1/2*a^3 - 1/2*a, 1/10*a^14 + 1/10*a^13 - 1/2*a^11 + 1/10*a^10 + 2/5*a^9 + 1/10*a^8 + 3/10*a^7 + 3/10*a^6 - 3/10*a^4 + 3/10*a^3 - 2/5*a^2 + 1/10*a - 1/10, 1/30*a^15 + 1/30*a^14 - 1/6*a^13 - 7/15*a^11 - 1/30*a^10 - 3/10*a^9 + 13/30*a^8 - 2/5*a^7 - 1/6*a^6 - 13/30*a^5 - 7/30*a^4 + 11/30*a^3 - 7/15*a^2 - 1/5*a + 1/6, 1/30*a^16 - 2/15*a^13 + 1/30*a^12 - 1/15*a^11 + 13/30*a^10 - 7/15*a^9 + 11/30*a^8 + 1/3*a^7 - 1/6*a^6 + 1/5*a^5 + 4/15*a^3 - 1/30*a^2 + 1/15*a + 2/15, 1/30*a^17 - 1/30*a^14 + 2/15*a^13 - 1/15*a^12 - 1/15*a^11 - 11/30*a^10 - 7/30*a^9 + 13/30*a^8 + 2/15*a^7 - 1/2*a^6 - 1/30*a^4 + 4/15*a^3 - 1/3*a^2 + 7/30*a - 1/10, 1/30*a^18 - 1/30*a^14 + 1/15*a^13 - 1/15*a^12 - 1/3*a^11 - 7/15*a^10 + 1/3*a^9 + 11/30*a^8 + 7/30*a^6 - 7/15*a^5 - 11/30*a^4 - 1/15*a^3 - 13/30*a^2 + 11/30, 1/16161150287147490*a^19 - 13233815721611/3232230057429498*a^18 + 814429034923/8080575143573745*a^17 - 284275116197/950655899243970*a^16 + 19620830308289/2693525047857915*a^15 - 9372384948193/190131179848794*a^14 - 585834654182948/2693525047857915*a^13 - 2697074332119661/16161150287147490*a^12 + 3709842647358247/16161150287147490*a^11 + 43497074773771/114618087142890*a^10 - 626435324286352/8080575143573745*a^9 + 3833432886069589/8080575143573745*a^8 + 40556800168939/8080575143573745*a^7 + 286985649999458/2693525047857915*a^6 + 265406458596749/1616115028714749*a^5 - 403204547641405/1077410019143166*a^4 + 1598553130143121/3232230057429498*a^3 + 81072122327407/475327949621985*a^2 + 2270531879009167/8080575143573745*a + 2387197663651487/16161150287147490], 0, 1, [], 0, [ (87399392803888)/(8080575143573745)*a^(19) - (25846295206342)/(8080575143573745)*a^(18) - (393460344925468)/(8080575143573745)*a^(17) - (1540225341763)/(95065589924397)*a^(16) + (44133658305712)/(897841682619305)*a^(15) + (42560921693464)/(475327949621985)*a^(14) + (3299070081568)/(2693525047857915)*a^(13) - (256001197752116)/(1616115028714749)*a^(12) + (368960127388496)/(1616115028714749)*a^(11) + (12815492261366)/(57309043571445)*a^(10) - (9615026534612996)/(8080575143573745)*a^(9) - (11431242837622132)/(8080575143573745)*a^(8) + (1059783092236384)/(1616115028714749)*a^(7) + (4742520733494164)/(2693525047857915)*a^(6) + (5506370174255672)/(8080575143573745)*a^(5) - (747105639499112)/(2693525047857915)*a^(4) + (2021817907169968)/(1616115028714749)*a^(3) + (1892474900157974)/(475327949621985)*a^(2) + (30360352736252492)/(8080575143573745)*a - (2970637566176194)/(8080575143573745) , (357842278915121)/(8080575143573745)*a^(19) - (279102541250459)/(8080575143573745)*a^(18) - (3249266263501237)/(16161150287147490)*a^(17) + (41894497020968)/(475327949621985)*a^(16) + (869212709092847)/(5387050095715830)*a^(15) + (160072596689941)/(950655899243970)*a^(14) - (28703824839146)/(2693525047857915)*a^(13) - (5835720121331639)/(8080575143573745)*a^(12) + (5007089582159129)/(3232230057429498)*a^(11) + (2831780552249)/(38206029047630)*a^(10) - (46110139165024402)/(8080575143573745)*a^(9) - (25432071099129103)/(16161150287147490)*a^(8) + (13894047093498961)/(3232230057429498)*a^(7) + (14483013144935837)/(5387050095715830)*a^(6) + (3557496480192293)/(16161150287147490)*a^(5) + (169223563148077)/(1077410019143166)*a^(4) + (52449307316013664)/(8080575143573745)*a^(3) + (1136691327531971)/(95065589924397)*a^(2) + (39584208245993287)/(8080575143573745)*a - (9377573400725329)/(16161150287147490) , (267318394777111)/(16161150287147490)*a^(19) - (387719464435471)/(16161150287147490)*a^(18) - (434471255792693)/(8080575143573745)*a^(17) + (11267879216063)/(190131179848794)*a^(16) + (4760883930646)/(538705009571583)*a^(15) + (14097706909313)/(190131179848794)*a^(14) - (111163261954947)/(1795683365238610)*a^(13) - (3026280042715471)/(16161150287147490)*a^(12) + (5548823606967497)/(8080575143573745)*a^(11) - (55320360089561)/(114618087142890)*a^(10) - (12805203008204413)/(8080575143573745)*a^(9) + (1789210664643892)/(8080575143573745)*a^(8) + (17934788086772231)/(16161150287147490)*a^(7) + (1010551913342269)/(2693525047857915)*a^(6) - (250598054584726)/(1616115028714749)*a^(5) + (3324421628990821)/(5387050095715830)*a^(4) + (20782523779678201)/(8080575143573745)*a^(3) + (1325774056927621)/(475327949621985)*a^(2) + (13805214703603133)/(16161150287147490)*a + (7446793596716897)/(16161150287147490) , (14842055501986)/(475327949621985)*a^(19) - (9906933476899)/(475327949621985)*a^(18) - (73280909362168)/(475327949621985)*a^(17) + (56545427922289)/(950655899243970)*a^(16) + (7758575305802)/(52814216624665)*a^(15) + (55415056989233)/(475327949621985)*a^(14) - (369095484854)/(31688529974799)*a^(13) - (265103175793729)/(475327949621985)*a^(12) + (523175737068592)/(475327949621985)*a^(11) + (679852709921)/(3371120210085)*a^(10) - (2045359388432822)/(475327949621985)*a^(9) - (1321780085032643)/(950655899243970)*a^(8) + (1810261478795837)/(475327949621985)*a^(7) + (132298592197672)/(52814216624665)*a^(6) - (49205866912172)/(95065589924397)*a^(5) - (4162793695382)/(52814216624665)*a^(4) + (2356034320454606)/(475327949621985)*a^(3) + (4199986204609189)/(475327949621985)*a^(2) + (226291444545178)/(95065589924397)*a - (1706016753545789)/(950655899243970) , (67899970172657)/(5387050095715830)*a^(19) - (18922171284522)/(897841682619305)*a^(18) - (93401404272247)/(2693525047857915)*a^(17) + (962793611829)/(21125686649866)*a^(16) + (51445319816297)/(2693525047857915)*a^(15) + (2822742918479)/(105628433249330)*a^(14) - (172243196306847)/(1795683365238610)*a^(13) - (76003216877954)/(2693525047857915)*a^(12) + (406395052247621)/(897841682619305)*a^(11) - (11746032728091)/(38206029047630)*a^(10) - (1150276659859302)/(897841682619305)*a^(9) + (506054263368011)/(2693525047857915)*a^(8) + (534478461983045)/(359136673047722)*a^(7) - (3312129238159723)/(5387050095715830)*a^(6) - (2088034008315971)/(2693525047857915)*a^(5) + (6012529583663491)/(5387050095715830)*a^(4) + (2461184942346431)/(897841682619305)*a^(3) + (49781702701573)/(31688529974799)*a^(2) + (739169355816821)/(5387050095715830)*a - (672949687907678)/(897841682619305) , (44553502204631)/(16161150287147490)*a^(19) - (26281514640439)/(8080575143573745)*a^(18) - (23617675684901)/(16161150287147490)*a^(17) - (3337619239313)/(475327949621985)*a^(16) - (40503421074781)/(2693525047857915)*a^(15) + (3748717897796)/(95065589924397)*a^(14) - (18941515924925)/(1077410019143166)*a^(13) + (145683857744483)/(8080575143573745)*a^(12) + (367910797703026)/(8080575143573745)*a^(11) - (4882043938157)/(57309043571445)*a^(10) + (792593032182317)/(16161150287147490)*a^(9) - (3300836052907402)/(8080575143573745)*a^(8) - (1436957706051745)/(3232230057429498)*a^(7) + (913026874092557)/(2693525047857915)*a^(6) + (2751654078669617)/(8080575143573745)*a^(5) - (11125943921482)/(538705009571583)*a^(4) + (4217873599853498)/(8080575143573745)*a^(3) + (91422682297126)/(95065589924397)*a^(2) + (8323791070291007)/(8080575143573745)*a + (6545421068049659)/(8080575143573745) , (147654225639251)/(8080575143573745)*a^(19) - (1538813972470)/(1616115028714749)*a^(18) - (824939818933142)/(8080575143573745)*a^(17) - (12719476835093)/(950655899243970)*a^(16) + (695609959247579)/(5387050095715830)*a^(15) + (38858456295191)/(475327949621985)*a^(14) + (157340895904007)/(5387050095715830)*a^(13) - (2633343745098299)/(8080575143573745)*a^(12) + (3596664290492873)/(8080575143573745)*a^(11) + (36221470370782)/(57309043571445)*a^(10) - (44255387569457849)/(16161150287147490)*a^(9) - (34411129029752209)/(16161150287147490)*a^(8) + (18843767715627103)/(8080575143573745)*a^(7) + (6087152898616268)/(2693525047857915)*a^(6) - (93603390688997)/(3232230057429498)*a^(5) - (461510589095839)/(2693525047857915)*a^(4) + (51863441547606059)/(16161150287147490)*a^(3) + (3137922963584353)/(475327949621985)*a^(2) + (6647757196557542)/(1616115028714749)*a + (4633705123460501)/(16161150287147490) , (157622739492529)/(5387050095715830)*a^(19) - (198617271940909)/(5387050095715830)*a^(18) - (327201155676431)/(2693525047857915)*a^(17) + (3481199305693)/(31688529974799)*a^(16) + (297384788212829)/(2693525047857915)*a^(15) + (6090123800197)/(105628433249330)*a^(14) - (575169777337823)/(5387050095715830)*a^(13) - (2305969651834123)/(5387050095715830)*a^(12) + (625858812441812)/(538705009571583)*a^(11) - (28571019500669)/(114618087142890)*a^(10) - (10593082097461183)/(2693525047857915)*a^(9) + (763001920810429)/(1795683365238610)*a^(8) + (22139891102614139)/(5387050095715830)*a^(7) + (1688865039601892)/(2693525047857915)*a^(6) - (3150043672443787)/(2693525047857915)*a^(5) - (3095738071002949)/(5387050095715830)*a^(4) + (2579519549328796)/(538705009571583)*a^(3) + (185995959584356)/(31688529974799)*a^(2) - (5109127016088511)/(5387050095715830)*a - (8641226714200612)/(2693525047857915) , (30585415354739)/(16161150287147490)*a^(19) + (217110866982169)/(16161150287147490)*a^(18) - (736038156720857)/(16161150287147490)*a^(17) - (13688123716033)/(950655899243970)*a^(16) + (150466155790851)/(1795683365238610)*a^(15) - (17236110551117)/(475327949621985)*a^(14) + (649456121441443)/(5387050095715830)*a^(13) - (720040687293583)/(3232230057429498)*a^(12) + (350718051728903)/(16161150287147490)*a^(11) + (12336533169418)/(19103014523815)*a^(10) - (10329768632639894)/(8080575143573745)*a^(9) - (9548847176864741)/(16161150287147490)*a^(8) + (8385521661692279)/(8080575143573745)*a^(7) + (4386795600845657)/(5387050095715830)*a^(6) + (1168975122549881)/(3232230057429498)*a^(5) - (112602796433819)/(179568336523861)*a^(4) + (4619992680555749)/(8080575143573745)*a^(3) + (160003652404711)/(95065589924397)*a^(2) + (5830729903677733)/(16161150287147490)*a - (3569501344907686)/(8080575143573745) , (162951825174464)/(8080575143573745)*a^(19) - (117711349929649)/(16161150287147490)*a^(18) - (819708026482748)/(8080575143573745)*a^(17) + (300924909565)/(95065589924397)*a^(16) + (598940376806429)/(5387050095715830)*a^(15) + (17325234171149)/(190131179848794)*a^(14) + (49106379392821)/(2693525047857915)*a^(13) - (540019350276043)/(1616115028714749)*a^(12) + (1784027953125053)/(3232230057429498)*a^(11) + (24782126991083)/(57309043571445)*a^(10) - (45487395905096339)/(16161150287147490)*a^(9) - (28943236643219383)/(16161150287147490)*a^(8) + (37207077090328499)/(16161150287147490)*a^(7) + (3606944081643463)/(1795683365238610)*a^(6) + (6095971165234283)/(16161150287147490)*a^(5) - (2189105744670001)/(5387050095715830)*a^(4) + (26122751783991379)/(8080575143573745)*a^(3) + (6528311063157923)/(950655899243970)*a^(2) + (9771357548787577)/(3232230057429498)*a - (2050258269796001)/(3232230057429498) , (47448326061913)/(8080575143573745)*a^(19) + (9070401361651)/(16161150287147490)*a^(18) - (400374130166747)/(16161150287147490)*a^(17) - (12298871981012)/(475327949621985)*a^(16) + (164039471210063)/(5387050095715830)*a^(15) + (48971472289661)/(950655899243970)*a^(14) + (3033020320846)/(897841682619305)*a^(13) - (490993415405291)/(16161150287147490)*a^(12) + (676119904563851)/(16161150287147490)*a^(11) + (28121176171093)/(114618087142890)*a^(10) - (4963739261217296)/(8080575143573745)*a^(9) - (19922765762740439)/(16161150287147490)*a^(8) + (4955366927091661)/(16161150287147490)*a^(7) + (135305295298937)/(179568336523861)*a^(6) + (7559482055800657)/(16161150287147490)*a^(5) + (512262024489143)/(1795683365238610)*a^(4) + (9480329927846741)/(8080575143573745)*a^(3) + (1217887640736971)/(475327949621985)*a^(2) + (4400165966170294)/(1616115028714749)*a + (1525985828714198)/(8080575143573745) ], 110122.225791, [[x^2 - x - 1, 1], [x^10 - 4*x^9 + 11*x^8 - 16*x^7 + 12*x^6 + 8*x^5 - 30*x^4 + 32*x^3 - 17*x^2 - 4*x - 1, 1]]]