/* 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^30 + 6*x^28 - x^27 + 14*x^26 - x^25 + 8*x^24 + 13*x^23 - 39*x^22 + 37*x^21 - 93*x^20 + 30*x^19 + 10*x^18 - 13*x^17 + 349*x^16 + 77*x^15 + 721*x^14 + 575*x^13 + 1026*x^12 + 1233*x^11 + 1137*x^10 + 993*x^9 + 501*x^8 - 41*x^7 - 253*x^6 - 186*x^5 - 58*x^4 + 6*x^3 + 14*x^2 + 6*x + 1, 30, 15, [0, 15], -45711723244122563996456104229882472771, [3, 11], [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, a^16, a^17, a^18, a^19, a^20, a^21, a^22, a^23, a^24, 1/445*a^25 + 11/445*a^24 - 219/445*a^23 + 86/445*a^22 + 39/89*a^21 + 186/445*a^20 + 82/445*a^19 - 26/89*a^18 + 203/445*a^17 + 153/445*a^16 + 167/445*a^15 + 169/445*a^14 + 23/89*a^13 - 34/89*a^12 + 51/445*a^11 - 167/445*a^10 - 164/445*a^9 - 25/89*a^8 - 10/89*a^7 + 84/445*a^6 - 4/445*a^5 + 212/445*a^4 + 18/89*a^3 - 32/89*a^2 + 18/445*a + 152/445, 1/445*a^26 + 21/89*a^24 - 35/89*a^23 + 139/445*a^22 - 179/445*a^21 - 184/445*a^20 - 142/445*a^19 - 147/445*a^18 + 29/89*a^17 - 181/445*a^16 + 112/445*a^15 + 36/445*a^14 - 20/89*a^13 + 141/445*a^12 + 162/445*a^11 - 107/445*a^10 - 101/445*a^9 - 2/89*a^8 + 189/445*a^7 - 38/445*a^6 - 189/445*a^5 - 17/445*a^4 + 37/89*a^3 - 2/445*a^2 - 46/445*a + 108/445, 1/445*a^27 + 1/89*a^24 - 6/445*a^23 + 136/445*a^22 - 189/445*a^21 - 92/445*a^20 + 143/445*a^19 - 136/445*a^17 + 67/445*a^16 - 144/445*a^15 - 9/89*a^14 + 81/445*a^13 + 212/445*a^12 - 122/445*a^11 + 79/445*a^10 - 29/89*a^9 - 36/445*a^8 - 128/445*a^7 - 109/445*a^6 - 42/445*a^5 + 35/89*a^4 - 107/445*a^3 - 156/445*a^2 - 2/445*a + 12/89, 1/13387012429555*a^28 + 11292184506/13387012429555*a^27 + 239979340/2677402485911*a^26 - 11621511658/13387012429555*a^25 - 4902792104044/13387012429555*a^24 - 6166493836393/13387012429555*a^23 - 5758271901301/13387012429555*a^22 - 1341906105356/13387012429555*a^21 - 5466840494667/13387012429555*a^20 + 6444606444167/13387012429555*a^19 + 6175612326114/13387012429555*a^18 - 1231175297543/13387012429555*a^17 + 1579876048774/13387012429555*a^16 - 896338943675/2677402485911*a^15 + 4836948846369/13387012429555*a^14 + 4601689343788/13387012429555*a^13 - 511854111159/2677402485911*a^12 - 5347110096196/13387012429555*a^11 - 991991156498/2677402485911*a^10 - 2241961602974/13387012429555*a^9 + 2053307832501/13387012429555*a^8 - 759610988112/13387012429555*a^7 + 4602001636602/13387012429555*a^6 - 848191643384/2677402485911*a^5 - 606966174518/13387012429555*a^4 - 1820764963473/13387012429555*a^3 + 589929716967/13387012429555*a^2 - 3254376689291/13387012429555*a - 2112461484861/13387012429555, 1/13387012429555*a^29 + 1002026522/2677402485911*a^27 + 14689278362/13387012429555*a^26 + 13605534833/13387012429555*a^25 + 324983930549/2677402485911*a^24 + 682285836191/2677402485911*a^23 - 1164366560091/2677402485911*a^22 - 1045981908/2677402485911*a^21 + 4249606413601/13387012429555*a^20 + 3656525880493/13387012429555*a^19 + 1039894128888/13387012429555*a^18 - 5903150631877/13387012429555*a^17 - 326707186607/2677402485911*a^16 - 3339284003187/13387012429555*a^15 + 1170255526547/2677402485911*a^14 - 6669905464812/13387012429555*a^13 + 6663867702186/13387012429555*a^12 + 3666619169923/13387012429555*a^11 - 2379384253328/13387012429555*a^10 - 4240524289601/13387012429555*a^9 - 1682088816724/13387012429555*a^8 + 293229730896/13387012429555*a^7 + 451143399178/2677402485911*a^6 + 2876129479224/13387012429555*a^5 + 1849453151018/13387012429555*a^4 + 604978445978/13387012429555*a^3 - 2196819749374/13387012429555*a^2 + 883452233921/2677402485911*a - 2116054177081/13387012429555], 0, 1, [], 1, [ (10789396149643)/(2677402485911)*a^(29) - (6209009900155)/(2677402485911)*a^(28) + (68069252536155)/(2677402485911)*a^(27) - (49752505208909)/(2677402485911)*a^(26) + (178218159148945)/(2677402485911)*a^(25) - (111778223935115)/(2677402485911)*a^(24) + (2191710381284)/(39961231133)*a^(23) + (59462656799041)/(2677402485911)*a^(22) - (458068295311766)/(2677402485911)*a^(21) + (662896898215296)/(2677402485911)*a^(20) - (1374442827381488)/(2677402485911)*a^(19) + (1098867303539426)/(2677402485911)*a^(18) - (493537286062922)/(2677402485911)*a^(17) + (572177848391)/(13590875563)*a^(16) + (3713417678405143)/(2677402485911)*a^(15) - (1314499103337380)/(2677402485911)*a^(14) + (8462173263876327)/(2677402485911)*a^(13) + (1380614583577882)/(2677402485911)*a^(12) + (150928106925311)/(39961231133)*a^(11) + (7522223197419836)/(2677402485911)*a^(10) + (7770641279920278)/(2677402485911)*a^(9) + (6216867952647112)/(2677402485911)*a^(8) + (1768002402270601)/(2677402485911)*a^(7) - (1417380611351609)/(2677402485911)*a^(6) - (1826363882285911)/(2677402485911)*a^(5) - (831819137188284)/(2677402485911)*a^(4) - (71618559635646)/(2677402485911)*a^(3) + (97771517789218)/(2677402485911)*a^(2) + (71078602571932)/(2677402485911)*a + (13261190527233)/(2677402485911) , (42007054911324)/(13387012429555)*a^(29) - (22675878196668)/(13387012429555)*a^(28) + (262773843399943)/(13387012429555)*a^(27) - (182763378244703)/(13387012429555)*a^(26) + (135359689497363)/(2677402485911)*a^(25) - (398783921543694)/(13387012429555)*a^(24) + (523240508501217)/(13387012429555)*a^(23) + (284537300105769)/(13387012429555)*a^(22) - (1820742584425942)/(13387012429555)*a^(21) + (2535581416599931)/(13387012429555)*a^(20) - (5216023911757886)/(13387012429555)*a^(19) + (3972141825515817)/(13387012429555)*a^(18) - (1504853338091323)/(13387012429555)*a^(17) + (61737431159688)/(13387012429555)*a^(16) + (14765872481576689)/(13387012429555)*a^(15) - (4800770934932367)/(13387012429555)*a^(14) + (32386877971309334)/(13387012429555)*a^(13) + (1385425125049438)/(2677402485911)*a^(12) + (7606569880318699)/(2677402485911)*a^(11) + (31296653120037216)/(13387012429555)*a^(10) + (29190976744842248)/(13387012429555)*a^(9) + (5015050533771692)/(2677402485911)*a^(8) + (6216538466247168)/(13387012429555)*a^(7) - (6065255670238211)/(13387012429555)*a^(6) - (7780650065489043)/(13387012429555)*a^(5) - (3675269347609894)/(13387012429555)*a^(4) - (365815902811211)/(13387012429555)*a^(3) + (498389740604109)/(13387012429555)*a^(2) + (336963092467679)/(13387012429555)*a + (81064847986459)/(13387012429555) , (67219901717457)/(13387012429555)*a^(29) - (7126288002627)/(13387012429555)*a^(28) + (391563042616521)/(13387012429555)*a^(27) - (19259994968910)/(2677402485911)*a^(26) + (867080398279693)/(13387012429555)*a^(25) - (66465290753786)/(13387012429555)*a^(24) + (299380846041724)/(13387012429555)*a^(23) + (214535402800339)/(2677402485911)*a^(22) - (3000011437075199)/(13387012429555)*a^(21) + (2841017632300532)/(13387012429555)*a^(20) - (6029322681327749)/(13387012429555)*a^(19) + (1659317309299596)/(13387012429555)*a^(18) + (2513029201636387)/(13387012429555)*a^(17) - (649992573395986)/(2677402485911)*a^(16) + (25237252518421438)/(13387012429555)*a^(15) + (1821370934720737)/(13387012429555)*a^(14) + (44182480829693573)/(13387012429555)*a^(13) + (37256032665472554)/(13387012429555)*a^(12) + (10756413080601123)/(2677402485911)*a^(11) + (80194834051618402)/(13387012429555)*a^(10) + (55018838855966181)/(13387012429555)*a^(9) + (57291156278197837)/(13387012429555)*a^(8) + (20237197000026096)/(13387012429555)*a^(7) - (28004243922717)/(39961231133)*a^(6) - (16197610826633761)/(13387012429555)*a^(5) - (9206850624092213)/(13387012429555)*a^(4) - (1523830231209689)/(13387012429555)*a^(3) + (981454440044648)/(13387012429555)*a^(2) + (778788840691258)/(13387012429555)*a + (46634290305740)/(2677402485911) , (11826100080436)/(13387012429555)*a^(29) + (52085378911)/(67954377815)*a^(28) + (57535011508638)/(13387012429555)*a^(27) + (60027700972756)/(13387012429555)*a^(26) + (69186180630498)/(13387012429555)*a^(25) + (209392128100773)/(13387012429555)*a^(24) - (148195811715041)/(13387012429555)*a^(23) + (413622750710206)/(13387012429555)*a^(22) - (5967710218223)/(150415869995)*a^(21) - (2620153184796)/(2677402485911)*a^(20) - (122006526574176)/(13387012429555)*a^(19) - (1546735017500522)/(13387012429555)*a^(18) + (2297796389223949)/(13387012429555)*a^(17) - (1721834154710711)/(13387012429555)*a^(16) + (4814593947771109)/(13387012429555)*a^(15) + (4334070594821286)/(13387012429555)*a^(14) + (920627911524680)/(2677402485911)*a^(13) + (16806245571155247)/(13387012429555)*a^(12) + (7161571461266368)/(13387012429555)*a^(11) + (25248505495146946)/(13387012429555)*a^(10) + (210329843377249)/(199806155665)*a^(9) + (15980126087252927)/(13387012429555)*a^(8) + (1721374572980303)/(2677402485911)*a^(7) - (1705450122276713)/(13387012429555)*a^(6) - (3986637520832398)/(13387012429555)*a^(5) - (2733159163499204)/(13387012429555)*a^(4) - (129044171625233)/(2677402485911)*a^(3) + (178393670765071)/(13387012429555)*a^(2) + (41194870441408)/(2677402485911)*a + (80767532630006)/(13387012429555) , (17094875756948)/(13387012429555)*a^(29) - (2739024913921)/(13387012429555)*a^(28) + (98592172321184)/(13387012429555)*a^(27) - (5771217172283)/(2677402485911)*a^(26) + (43023798939345)/(2677402485911)*a^(25) - (21681521184888)/(13387012429555)*a^(24) + (59737850088856)/(13387012429555)*a^(23) + (56739012195392)/(2677402485911)*a^(22) - (157865090286762)/(2677402485911)*a^(21) + (756030101485417)/(13387012429555)*a^(20) - (303169999120818)/(2677402485911)*a^(19) + (419374969792167)/(13387012429555)*a^(18) + (764430592013586)/(13387012429555)*a^(17) - (993227911331254)/(13387012429555)*a^(16) + (6493050675745188)/(13387012429555)*a^(15) + (151951262184567)/(13387012429555)*a^(14) + (10794394402792241)/(13387012429555)*a^(13) + (9162230472395597)/(13387012429555)*a^(12) + (139079969292229)/(150415869995)*a^(11) + (19728738972534627)/(13387012429555)*a^(10) + (2450807650906114)/(2677402485911)*a^(9) + (13318013336642547)/(13387012429555)*a^(8) + (4244179285686961)/(13387012429555)*a^(7) - (2932767185552122)/(13387012429555)*a^(6) - (3721429402274106)/(13387012429555)*a^(5) - (360570498321059)/(2677402485911)*a^(4) - (133436459907038)/(13387012429555)*a^(3) + (242526276439653)/(13387012429555)*a^(2) + (132265553158686)/(13387012429555)*a + (33417111869476)/(13387012429555) , (97529897696703)/(13387012429555)*a^(29) - (7713177825590)/(2677402485911)*a^(28) + (593063089563429)/(13387012429555)*a^(27) - (326521477051892)/(13387012429555)*a^(26) + (1447396875333906)/(13387012429555)*a^(25) - (627895524810778)/(13387012429555)*a^(24) + (901406368708288)/(13387012429555)*a^(23) + (1008342665627934)/(13387012429555)*a^(22) - (21901724960437)/(67954377815)*a^(21) + (5290135433582294)/(13387012429555)*a^(20) - (10841207532744849)/(13387012429555)*a^(19) + (1341136867825745)/(2677402485911)*a^(18) - (662887492532534)/(13387012429555)*a^(17) - (1912959406337773)/(13387012429555)*a^(16) + (35250247768489196)/(13387012429555)*a^(15) - (1310428866277042)/(2677402485911)*a^(14) + (70382429100443243)/(13387012429555)*a^(13) + (29588381110064878)/(13387012429555)*a^(12) + (82459628730058942)/(13387012429555)*a^(11) + (87683956349425339)/(13387012429555)*a^(10) + (69538049352153317)/(13387012429555)*a^(9) + (65389712468175084)/(13387012429555)*a^(8) + (18639323365509519)/(13387012429555)*a^(7) - (14681452663588064)/(13387012429555)*a^(6) - (19349135887601232)/(13387012429555)*a^(5) - (9314641899843131)/(13387012429555)*a^(4) - (937845151994079)/(13387012429555)*a^(3) + (253103972378841)/(2677402485911)*a^(2) + (797713953147521)/(13387012429555)*a + (194519865294752)/(13387012429555) , (40258899005446)/(13387012429555)*a^(29) - (20974745794573)/(13387012429555)*a^(28) + (253048149132137)/(13387012429555)*a^(27) - (172267683297982)/(13387012429555)*a^(26) + (656613260855748)/(13387012429555)*a^(25) - (383896269083752)/(13387012429555)*a^(24) + (105836065042937)/(2677402485911)*a^(23) + (245173198019878)/(13387012429555)*a^(22) - (1695541474463976)/(13387012429555)*a^(21) + (2379792585984379)/(13387012429555)*a^(20) - (5009605230622313)/(13387012429555)*a^(19) + (3843326438653589)/(13387012429555)*a^(18) - (330267097910695)/(2677402485911)*a^(17) + (72243652126591)/(2677402485911)*a^(16) + (13880249647042922)/(13387012429555)*a^(15) - (4149589603383997)/(13387012429555)*a^(14) + (31386459259948894)/(13387012429555)*a^(13) + (6786722769772542)/(13387012429555)*a^(12) + (38103297528780334)/(13387012429555)*a^(11) + (29996152012435318)/(13387012429555)*a^(10) + (30516365829483006)/(13387012429555)*a^(9) + (24531644471191473)/(13387012429555)*a^(8) + (7689246970018436)/(13387012429555)*a^(7) - (1091942833497030)/(2677402485911)*a^(6) - (7360293253539859)/(13387012429555)*a^(5) - (3875304088811663)/(13387012429555)*a^(4) - (7682110786774)/(199806155665)*a^(3) + (480326197183558)/(13387012429555)*a^(2) + (67252228826568)/(2677402485911)*a + (81169188417917)/(13387012429555) , (27563838967856)/(13387012429555)*a^(29) - (18861847106534)/(13387012429555)*a^(28) + (177839134539321)/(13387012429555)*a^(27) - (29277780461155)/(2677402485911)*a^(26) + (480987399724706)/(13387012429555)*a^(25) - (338076317379993)/(13387012429555)*a^(24) + (428295290219153)/(13387012429555)*a^(23) + (113972280820947)/(13387012429555)*a^(22) - (1194476576079063)/(13387012429555)*a^(21) + (1870178334632163)/(13387012429555)*a^(20) - (3810279671438029)/(13387012429555)*a^(19) + (3282616726274591)/(13387012429555)*a^(18) - (1719023763082487)/(13387012429555)*a^(17) + (411045151357959)/(13387012429555)*a^(16) + (9681097663503631)/(13387012429555)*a^(15) - (4632627620133289)/(13387012429555)*a^(14) + (22867629557037981)/(13387012429555)*a^(13) + (1202950523120259)/(13387012429555)*a^(12) + (26514445584205339)/(13387012429555)*a^(11) + (17801147731243209)/(13387012429555)*a^(10) + (18661254388920203)/(13387012429555)*a^(9) + (16299859780445217)/(13387012429555)*a^(8) + (3686078441145836)/(13387012429555)*a^(7) - (2861291732349148)/(13387012429555)*a^(6) - (4072928725443967)/(13387012429555)*a^(5) - (2328858458324964)/(13387012429555)*a^(4) - (85227254697025)/(2677402485911)*a^(3) + (238376568121197)/(13387012429555)*a^(2) + (200172586426084)/(13387012429555)*a + (56597877082394)/(13387012429555) , (94130203183329)/(13387012429555)*a^(29) - (56224789005017)/(13387012429555)*a^(28) + (119442524672796)/(2677402485911)*a^(27) - (449876979177703)/(13387012429555)*a^(26) + (1578413224173754)/(13387012429555)*a^(25) - (1029077642512956)/(13387012429555)*a^(24) + (268538425221723)/(2677402485911)*a^(23) + (443260029326641)/(13387012429555)*a^(22) - (3968022936543582)/(13387012429555)*a^(21) + (5862194912195324)/(13387012429555)*a^(20) - (12219662479887857)/(13387012429555)*a^(19) + (10040395949508341)/(13387012429555)*a^(18) - (4863419751301786)/(13387012429555)*a^(17) + (294759510579908)/(2677402485911)*a^(16) + (32162093464897939)/(13387012429555)*a^(15) - (2419408355731909)/(2677402485911)*a^(14) + (74778558741773048)/(13387012429555)*a^(13) + (9665410281004677)/(13387012429555)*a^(12) + (89645388375659289)/(13387012429555)*a^(11) + (62761995842504986)/(13387012429555)*a^(10) + (67874628673304746)/(13387012429555)*a^(9) + (10505070403496369)/(2677402485911)*a^(8) + (14403966108679843)/(13387012429555)*a^(7) - (2637944962693454)/(2677402485911)*a^(6) - (16469639181729738)/(13387012429555)*a^(5) - (7837143856562983)/(13387012429555)*a^(4) - (739884115261486)/(13387012429555)*a^(3) + (1063276950858)/(13590875563)*a^(2) + (724996230900102)/(13387012429555)*a + (154541359039872)/(13387012429555) , (26405723044562)/(13387012429555)*a^(29) - (4969019976201)/(13387012429555)*a^(28) + (30994702533268)/(2677402485911)*a^(27) - (10336187832034)/(2677402485911)*a^(26) + (350849671469396)/(13387012429555)*a^(25) - (63608065196429)/(13387012429555)*a^(24) + (144199118522349)/(13387012429555)*a^(23) + (384112599667378)/(13387012429555)*a^(22) - (1176205451737067)/(13387012429555)*a^(21) + (238575219159747)/(2677402485911)*a^(20) - (12621908333203)/(67954377815)*a^(19) + (186744035022434)/(2677402485911)*a^(18) + (730503554814264)/(13387012429555)*a^(17) - (1098320795438672)/(13387012429555)*a^(16) + (9760150482529288)/(13387012429555)*a^(15) + (17499424076961)/(2677402485911)*a^(14) + (17527051403513434)/(13387012429555)*a^(13) + (2574175896977608)/(2677402485911)*a^(12) + (21071331266482359)/(13387012429555)*a^(11) + (29067895836334132)/(13387012429555)*a^(10) + (20608873295610273)/(13387012429555)*a^(9) + (4110437500096735)/(2677402485911)*a^(8) + (1417723887184901)/(2677402485911)*a^(7) - (3907660524882446)/(13387012429555)*a^(6) - (88908195713943)/(199806155665)*a^(5) - (2897353789071724)/(13387012429555)*a^(4) - (419135941140363)/(13387012429555)*a^(3) + (395537519555392)/(13387012429555)*a^(2) + (249467793872279)/(13387012429555)*a + (52302911946176)/(13387012429555) , (95759169505053)/(13387012429555)*a^(29) - (17593080557021)/(2677402485911)*a^(28) + (636340653827757)/(13387012429555)*a^(27) - (7419409133422)/(150415869995)*a^(26) + (1818872758164901)/(13387012429555)*a^(25) - (1619015430357593)/(13387012429555)*a^(24) + (375454538585191)/(2677402485911)*a^(23) - (112412788647457)/(13387012429555)*a^(22) - (4039106391651292)/(13387012429555)*a^(21) + (7319699236154472)/(13387012429555)*a^(20) - (14821501539307908)/(13387012429555)*a^(19) + (14928034127750512)/(13387012429555)*a^(18) - (9632950197849767)/(13387012429555)*a^(17) + (4276585024781329)/(13387012429555)*a^(16) + (31737890467184892)/(13387012429555)*a^(15) - (22829030566714406)/(13387012429555)*a^(14) + (83775739318399921)/(13387012429555)*a^(13) - (16506883308284272)/(13387012429555)*a^(12) + (96293877093533979)/(13387012429555)*a^(11) + (35028583696269023)/(13387012429555)*a^(10) + (57505108436656548)/(13387012429555)*a^(9) + (37827283645888386)/(13387012429555)*a^(8) + (36146482168589)/(150415869995)*a^(7) - (12619244931636633)/(13387012429555)*a^(6) - (11852047528037399)/(13387012429555)*a^(5) - (3977016254157689)/(13387012429555)*a^(4) + (65143108357098)/(2677402485911)*a^(3) + (841698333178224)/(13387012429555)*a^(2) + (400557995544531)/(13387012429555)*a + (20164710183359)/(13387012429555) , (37024752893528)/(13387012429555)*a^(29) - (14278148072644)/(13387012429555)*a^(28) + (224579673235431)/(13387012429555)*a^(27) - (122842578711847)/(13387012429555)*a^(26) + (547762141182457)/(13387012429555)*a^(25) - (241005889364278)/(13387012429555)*a^(24) + (348414508435953)/(13387012429555)*a^(23) + (357319150820083)/(13387012429555)*a^(22) - (1598815259855579)/(13387012429555)*a^(21) + (1944742920543684)/(13387012429555)*a^(20) - (4056810917241201)/(13387012429555)*a^(19) + (2533439184951394)/(13387012429555)*a^(18) - (317799628009506)/(13387012429555)*a^(17) - (96289217828993)/(2677402485911)*a^(16) + (2605490665948515)/(2677402485911)*a^(15) - (411024674237814)/(2677402485911)*a^(14) + (26382118748622767)/(13387012429555)*a^(13) + (2227653803393603)/(2677402485911)*a^(12) + (31726386551886733)/(13387012429555)*a^(11) + (6410650949948929)/(2677402485911)*a^(10) + (27405579919810902)/(13387012429555)*a^(9) + (23127518607060704)/(13387012429555)*a^(8) + (7389533190199244)/(13387012429555)*a^(7) - (1269900385116759)/(2677402485911)*a^(6) - (1532172822209816)/(2677402485911)*a^(5) - (3312594223923576)/(13387012429555)*a^(4) - (247194113126379)/(13387012429555)*a^(3) + (564409621277436)/(13387012429555)*a^(2) + (63821167308660)/(2677402485911)*a + (57750682630384)/(13387012429555) , (12980134134192)/(2677402485911)*a^(29) - (4862789174310)/(2677402485911)*a^(28) + (395732483611212)/(13387012429555)*a^(27) - (210514480464804)/(13387012429555)*a^(26) + (969408995591541)/(13387012429555)*a^(25) - (408651373022329)/(13387012429555)*a^(24) + (622154027148774)/(13387012429555)*a^(23) + (656574557989727)/(13387012429555)*a^(22) - (2823800664236827)/(13387012429555)*a^(21) + (3457308760152053)/(13387012429555)*a^(20) - (7203999881312649)/(13387012429555)*a^(19) + (4429742914812653)/(13387012429555)*a^(18) - (592733022942399)/(13387012429555)*a^(17) - (1034710331387374)/(13387012429555)*a^(16) + (23257597588908091)/(13387012429555)*a^(15) - (755890068179878)/(2677402485911)*a^(14) + (47242555544093532)/(13387012429555)*a^(13) + (4067121920753160)/(2677402485911)*a^(12) + (56680706116640844)/(13387012429555)*a^(11) + (59256539198498769)/(13387012429555)*a^(10) + (9847019351987382)/(2677402485911)*a^(9) + (45054587350891428)/(13387012429555)*a^(8) + (14565402158415943)/(13387012429555)*a^(7) - (8859310238374107)/(13387012429555)*a^(6) - (12743423570597702)/(13387012429555)*a^(5) - (1313890719035173)/(2677402485911)*a^(4) - (859337515699214)/(13387012429555)*a^(3) + (826355987558006)/(13387012429555)*a^(2) + (541040162736538)/(13387012429555)*a + (25352819131906)/(2677402485911) , (29492351076456)/(13387012429555)*a^(29) - (13342198239206)/(13387012429555)*a^(28) + (182784547773298)/(13387012429555)*a^(27) - (112146806455206)/(13387012429555)*a^(26) + (92381558452263)/(2677402485911)*a^(25) - (237872005673042)/(13387012429555)*a^(24) + (337661341141038)/(13387012429555)*a^(23) + (232816761417372)/(13387012429555)*a^(22) - (1264643927671433)/(13387012429555)*a^(21) + (1663882220954586)/(13387012429555)*a^(20) - (3492489888240353)/(13387012429555)*a^(19) + (490267922225700)/(2677402485911)*a^(18) - (774209428621736)/(13387012429555)*a^(17) - (67037680467141)/(13387012429555)*a^(16) + (10375621538259019)/(13387012429555)*a^(15) - (2453426475026941)/(13387012429555)*a^(14) + (22312208858134824)/(13387012429555)*a^(13) + (6861297184113276)/(13387012429555)*a^(12) + (26845209843965594)/(13387012429555)*a^(11) + (24141797574856986)/(13387012429555)*a^(10) + (65844946893910)/(39961231133)*a^(9) + (18929240625241156)/(13387012429555)*a^(8) + (5545781951780639)/(13387012429555)*a^(7) - (4337539966685523)/(13387012429555)*a^(6) - (6023418548523338)/(13387012429555)*a^(5) - (623083553916764)/(2677402485911)*a^(4) - (446930265670927)/(13387012429555)*a^(3) + (417739633289371)/(13387012429555)*a^(2) + (287138392178128)/(13387012429555)*a + (76334083611404)/(13387012429555) ], 27376181.549941503, [[x^2 - x + 3, 1], [x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, 1], [x^6 - x^4 - 2*x^3 + 3*x^2 + x + 1, 1], [x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1, 1]]]