/* 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 - 4*x^17 + 17*x^16 - 51*x^15 + 170*x^14 - 408*x^13 + 918*x^12 - 1445*x^11 + 1870*x^10 - 1887*x^9 + 3672*x^8 - 5797*x^7 + 8058*x^6 - 8143*x^5 + 9044*x^4 - 6851*x^3 + 5916*x^2 - 2826*x + 1971, 18, 13, [0, 9], -33382128422738312451250336439, [7, 17], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/3*a^8 + 1/3*a^7 + 1/3*a^6 + 1/3*a^5 + 1/3*a^4 + 1/3*a^3 + 1/3*a^2 + 1/3*a, 1/3*a^9 - 1/3*a, 1/15*a^10 + 1/15*a^9 + 2/15*a^8 - 4/15*a^7 - 4/15*a^6 + 2/15*a^5 + 1/3*a^4 + 2/15*a^3 - 2/15*a^2 - 2/15*a - 2/5, 1/15*a^11 + 1/15*a^9 - 1/15*a^8 + 1/3*a^7 - 4/15*a^6 - 7/15*a^5 + 2/15*a^4 + 1/15*a^3 + 1/3*a^2 + 1/15*a + 2/5, 1/15*a^12 - 2/15*a^9 - 2/15*a^8 - 1/3*a^7 + 7/15*a^6 - 1/3*a^5 + 2/5*a^4 - 2/15*a^3 - 2/15*a^2 + 1/5*a + 2/5, 1/45*a^13 + 1/45*a^12 + 1/45*a^11 + 1/45*a^10 + 1/9*a^9 - 7/45*a^8 + 4/9*a^7 - 19/45*a^6 - 4/9*a^5 + 1/45*a^4 - 17/45*a^3 - 4/9*a^2 - 2/15*a + 1/5, 1/45*a^14 + 1/45*a^10 + 2/15*a^8 + 1/15*a^7 - 4/45*a^6 - 1/15*a^4 + 7/15*a^3 + 1/9*a^2 - 1/5*a + 1/5, 1/405*a^15 + 2/405*a^14 - 1/405*a^13 - 2/81*a^12 + 4/135*a^11 + 2/81*a^10 + 5/81*a^9 + 31/405*a^8 - 7/15*a^7 - 106/405*a^6 - 199/405*a^5 - 76/405*a^4 + 97/405*a^3 + 22/135*a^2 - 14/45*a + 4/15, 1/710775*a^16 + 76/236925*a^15 - 2906/710775*a^14 - 1363/142155*a^13 - 6046/710775*a^12 + 476/142155*a^11 + 21752/710775*a^10 + 8939/710775*a^9 - 20287/142155*a^8 + 313652/710775*a^7 + 254296/710775*a^6 + 2182/710775*a^5 + 84391/236925*a^4 - 12562/142155*a^3 - 57281/236925*a^2 - 10643/78975*a + 10432/26325, 1/1849517177664098475*a^17 + 90506097206/369903435532819695*a^16 - 85100821688737/369903435532819695*a^15 + 953453907851417/97343009350742025*a^14 - 2043569804045974/205501908629344275*a^13 + 9316541651117951/616505725888032825*a^12 + 10174648711176034/616505725888032825*a^11 + 32086016597163448/1849517177664098475*a^10 + 9879548168617211/616505725888032825*a^9 + 38086734990871574/616505725888032825*a^8 - 21561100825771321/123301145177606565*a^7 - 55900389910013767/142270552128007575*a^6 - 548114351618466398/1849517177664098475*a^5 + 405263534218173796/1849517177664098475*a^4 - 898598524016898788/1849517177664098475*a^3 - 152200228790276111/616505725888032825*a^2 - 5713728458187901/41100381725868855*a - 21263061224111066/68500636209781425], 0, 10, [10], 1, [ (2556840411328769)/(616505725888032825)*a^(17) - (758685499132756)/(47423517376002525)*a^(16) + (40010404909110296)/(616505725888032825)*a^(15) - (1224350874120586)/(6489533956716135)*a^(14) + (128061630398771432)/(205501908629344275)*a^(13) - (59182419527326301)/(41100381725868855)*a^(12) + (630254493008284321)/(205501908629344275)*a^(11) - (203191139349397138)/(47423517376002525)*a^(10) + (13956892244642107)/(3161567825066835)*a^(9) - (72657594019473821)/(22833545403260475)*a^(8) + (712857024867692491)/(68500636209781425)*a^(7) - (11792353009044601232)/(616505725888032825)*a^(6) + (13368969450873304937)/(616505725888032825)*a^(5) - (1662312825561886847)/(123301145177606565)*a^(4) + (9170544360005724638)/(616505725888032825)*a^(3) - (2319360630091093891)/(205501908629344275)*a^(2) + (527474821062185459)/(68500636209781425)*a + (1522912832034446)/(913341816130419) , (7313349147139)/(47423517376002525)*a^(17) - (354911483101322)/(616505725888032825)*a^(16) + (1561622200794979)/(616505725888032825)*a^(15) - (251376905405578)/(32447669783580675)*a^(14) + (1779765861450197)/(68500636209781425)*a^(13) - (12993176468644219)/(205501908629344275)*a^(12) + (29817872088128218)/(205501908629344275)*a^(11) - (151468051351166393)/(616505725888032825)*a^(10) + (71742280606844651)/(205501908629344275)*a^(9) - (92618020135271632)/(205501908629344275)*a^(8) + (151846671300354787)/(205501908629344275)*a^(7) - (613441624667973919)/(616505725888032825)*a^(6) + (159463163263619747)/(123301145177606565)*a^(5) - (955500253305974264)/(616505725888032825)*a^(4) + (1151812183848704224)/(616505725888032825)*a^(3) - (72593615381096077)/(41100381725868855)*a^(2) + (100236898519946146)/(68500636209781425)*a - (12027325802639756)/(22833545403260475) , (131175682867781)/(123301145177606565)*a^(17) - (491444261106571)/(123301145177606565)*a^(16) + (428099336687638)/(24660229035521313)*a^(15) - (324752515951694)/(6489533956716135)*a^(14) + (6966726812372308)/(41100381725868855)*a^(13) - (5360702772227914)/(13700127241956285)*a^(12) + (4037768725087951)/(4566709080652095)*a^(11) - (159236358838397833)/(123301145177606565)*a^(10) + (4410834803352658)/(2740025448391257)*a^(9) - (55210512054439648)/(41100381725868855)*a^(8) + (129653134885925134)/(41100381725868855)*a^(7) - (46904166321715958)/(9484703475200505)*a^(6) + (940002436275526409)/(123301145177606565)*a^(5) - (148301412484280975)/(24660229035521313)*a^(4) + (724207988338636616)/(123301145177606565)*a^(3) - (148276213311537823)/(41100381725868855)*a^(2) + (63883345813082231)/(13700127241956285)*a - (544057558201823)/(913341816130419) , (233997945597004)/(1849517177664098475)*a^(17) - (849659891921138)/(1849517177664098475)*a^(16) + (3936887715678181)/(1849517177664098475)*a^(15) - (123381754289909)/(19468601870148405)*a^(14) + (456654757977136)/(22833545403260475)*a^(13) - (5919553056958181)/(123301145177606565)*a^(12) + (63711829993827361)/(616505725888032825)*a^(11) - (286585633845640139)/(1849517177664098475)*a^(10) + (15807700544277997)/(123301145177606565)*a^(9) - (1566711097028998)/(47423517376002525)*a^(8) - (59980240422582407)/(616505725888032825)*a^(7) - (114245773405730692)/(1849517177664098475)*a^(6) + (1446998462479270162)/(1849517177664098475)*a^(5) - (17642180590951753)/(28454110425601515)*a^(4) - (979325371198827227)/(1849517177664098475)*a^(3) + (715939881253261534)/(616505725888032825)*a^(2) - (132010387918453106)/(205501908629344275)*a + (5662326084136388)/(13700127241956285) , (33318939380522)/(41100381725868855)*a^(17) - (658337343734878)/(205501908629344275)*a^(16) + (2583267777150376)/(205501908629344275)*a^(15) - (134206103682206)/(3605296642620075)*a^(14) + (4980604872466292)/(41100381725868855)*a^(13) - (58268464468752637)/(205501908629344275)*a^(12) + (24268693839081521)/(41100381725868855)*a^(11) - (57313676400416932)/(68500636209781425)*a^(10) + (168838468987993568)/(205501908629344275)*a^(9) - (5263755275878700)/(8220076345173771)*a^(8) + (427279063835608754)/(205501908629344275)*a^(7) - (6835446351323089)/(1756426569481575)*a^(6) + (778588295370879554)/(205501908629344275)*a^(5) - (534783646056453854)/(205501908629344275)*a^(4) + (27595729852215119)/(8220076345173771)*a^(3) - (156482382902337082)/(68500636209781425)*a^(2) + (29745637906232519)/(22833545403260475)*a - (1225295944735816)/(7611181801086825) , (423246104756647)/(1849517177664098475)*a^(17) - (1563963138109763)/(1849517177664098475)*a^(16) + (6611374977647356)/(1849517177664098475)*a^(15) - (995939009746594)/(97343009350742025)*a^(14) + (256656096703091)/(7611181801086825)*a^(13) - (47151797843561992)/(616505725888032825)*a^(12) + (7843369901542501)/(47423517376002525)*a^(11) - (83382023094268819)/(369903435532819695)*a^(10) + (138136251201657338)/(616505725888032825)*a^(9) - (89254041076437547)/(616505725888032825)*a^(8) + (27102686214762406)/(47423517376002525)*a^(7) - (502186857081236669)/(369903435532819695)*a^(6) + (4736853168930490243)/(1849517177664098475)*a^(5) - (5595078595092106292)/(1849517177664098475)*a^(4) + (3760022585667465244)/(1849517177664098475)*a^(3) - (104819887023618704)/(616505725888032825)*a^(2) + (45601979134450549)/(205501908629344275)*a + (13158556448691652)/(68500636209781425) , (4367124769219)/(19468601870148405)*a^(17) - (47898275732842)/(97343009350742025)*a^(16) + (211363013647679)/(97343009350742025)*a^(15) - (473127555565043)/(97343009350742025)*a^(14) + (41646977805076)/(2163177985572045)*a^(13) - (980562908606981)/(32447669783580675)*a^(12) + (432987151774591)/(6489533956716135)*a^(11) - (3760772867719939)/(97343009350742025)*a^(10) + (2361829820317564)/(32447669783580675)*a^(9) - (1464694882494013)/(6489533956716135)*a^(8) + (36647256657568937)/(32447669783580675)*a^(7) - (134411207937202337)/(97343009350742025)*a^(6) + (125093155862727101)/(97343009350742025)*a^(5) - (91671995711264071)/(97343009350742025)*a^(4) + (30253385576409436)/(19468601870148405)*a^(3) - (26568927945358198)/(32447669783580675)*a^(2) + (93069500418077)/(831991532912325)*a - (1395948280880719)/(3605296642620075) , (4126729951048)/(1849517177664098475)*a^(17) - (432337674706967)/(1849517177664098475)*a^(16) + (1921288776912394)/(1849517177664098475)*a^(15) - (419877495454891)/(97343009350742025)*a^(14) + (2775319325452283)/(205501908629344275)*a^(13) - (26687696241506473)/(616505725888032825)*a^(12) + (66574725384343717)/(616505725888032825)*a^(11) - (88698617274271258)/(369903435532819695)*a^(10) + (243476652284506997)/(616505725888032825)*a^(9) - (297112029823210828)/(616505725888032825)*a^(8) + (276417267659811832)/(616505725888032825)*a^(7) - (21034322535835916)/(28454110425601515)*a^(6) + (2647662935704908787)/(1849517177664098475)*a^(5) - (3922929191636299298)/(1849517177664098475)*a^(4) + (4573175285404462696)/(1849517177664098475)*a^(3) - (1135293373063610081)/(616505725888032825)*a^(2) + (250971614560874386)/(205501908629344275)*a - (23284200345725957)/(68500636209781425) ], 5250337.35027, [[x^2 - x + 30, 1], [x^3 - x^2 + 6*x + 5, 1], [x^6 - 3*x^5 + 25*x^4 - 45*x^3 + 155*x^2 - 133*x + 123, 1], [x^9 - 4*x^8 + 9*x^7 + 2*x^6 - 41*x^5 + 107*x^4 - 123*x^3 + 89*x^2 - 42*x + 9, 1]]]