/* 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^42 + 42*x^40 + 819*x^38 + 9842*x^36 + 81585*x^34 + 494802*x^32 + 2272424*x^30 + 8069423*x^28 + 22428224*x^26 + 49085050*x^24 + 84669739*x^22 + 114704933*x^20 + 121049551*x^18 + 98190708*x^16 + 60019861*x^14 + 26865216*x^12 + 8444436*x^10 + 1749188*x^8 + 215453*x^6 + 13181*x^4 + 294*x^2 + 1, 42, 1, [0, 21], -74252462132603256348231837398371002884673933378885582779211491265789772693504, [2, 7], [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, a^25, a^26, a^27, a^28, a^29, a^30, a^31, a^32, a^33, a^34, a^35, a^36, a^37, a^38, a^39, a^40, a^41], 1, 1923461, [1923461], 1, [ a^(14) + 14*a^(12) + 77*a^(10) + 210*a^(8) + 294*a^(6) + 196*a^(4) + 49*a^(2) + 1 , a^(35) + 35*a^(33) + 560*a^(31) + 5425*a^(29) + 35525*a^(27) + 166257*a^(25) + 573300*a^(23) + 1480049*a^(21) + 2877854*a^(19) + 4205936*a^(17) + 4575312*a^(15) + 3637270*a^(13) + 2051777*a^(11) + 784343*a^(9) + 188652*a^(7) + 25053*a^(5) + 1400*a^(3) + 14*a , a^(11) + 11*a^(9) + 44*a^(7) + 77*a^(5) + 55*a^(3) + 11*a , a^(10) + 10*a^(8) + 35*a^(6) + 50*a^(4) + 25*a^(2) + 2 , a^(5) + 5*a^(3) + 5*a , a^(27) + 27*a^(25) + 324*a^(23) + 2277*a^(21) + 10395*a^(19) + 32319*a^(17) + 69768*a^(15) + 104652*a^(13) + 107406*a^(11) + 72930*a^(9) + 30888*a^(7) + 7371*a^(5) + 819*a^(3) + 27*a , a^(30) + 30*a^(28) + 405*a^(26) + 3250*a^(24) + 17250*a^(22) + 63756*a^(20) + 168245*a^(18) + 319770*a^(16) + 436050*a^(14) + 419900*a^(12) + 277134*a^(10) + 119340*a^(8) + 30940*a^(6) + 4200*a^(4) + 225*a^(2) + 2 , a^(34) + 34*a^(32) + 527*a^(30) + 4930*a^(28) + 31059*a^(26) + 139230*a^(24) + 457470*a^(22) + 1118260*a^(20) + 2042975*a^(18) + 2778446*a^(16) + 2778446*a^(14) + 1998724*a^(12) + 999362*a^(10) + 329460*a^(8) + 65892*a^(6) + 6936*a^(4) + 289*a^(2) + 2 , a^(17) + 17*a^(15) + 119*a^(13) + 442*a^(11) + 935*a^(9) + 1122*a^(7) + 714*a^(5) + 204*a^(3) + 17*a , a^(33) + 33*a^(31) + 495*a^(29) + 4466*a^(27) + 27027*a^(25) + 115830*a^(23) + 361790*a^(21) + 834900*a^(19) + 1427679*a^(17) + 1797818*a^(15) + 1641486*a^(13) + 1058148*a^(11) + 461890*a^(9) + 127908*a^(7) + 20196*a^(5) + 1496*a^(3) + 33*a , a^(8) + 8*a^(6) + 20*a^(4) + 16*a^(2) + 2 , a^(4) + 4*a^(2) + 2 , a^(24) + 24*a^(22) + 252*a^(20) + 1520*a^(18) + 5814*a^(16) + 14688*a^(14) + 24752*a^(12) + 27456*a^(10) + 19305*a^(8) + 8008*a^(6) + 1716*a^(4) + 144*a^(2) + 2 , a^(31) + 31*a^(29) + 434*a^(27) + 3627*a^(25) + 20150*a^(23) + 78430*a^(21) + 219604*a^(19) + 447051*a^(17) + 660858*a^(15) + 700910*a^(13) + 520676*a^(11) + 260338*a^(9) + 82212*a^(7) + 14756*a^(5) + 1240*a^(3) + 31*a , a^(36) + 35*a^(34) + 560*a^(32) + 5425*a^(30) + 35525*a^(28) + 166257*a^(26) + 573300*a^(24) + 1480049*a^(22) + 2877854*a^(20) + 4205936*a^(18) + 4575312*a^(16) + 3637270*a^(14) + 2051777*a^(12) + 784343*a^(10) + 188653*a^(8) + 25060*a^(6) + 1414*a^(4) + 21*a^(2) , a^(35) + 35*a^(33) + 560*a^(31) + 5425*a^(29) + 35525*a^(27) + 166258*a^(25) + 573325*a^(23) + 1480324*a^(21) + 2879604*a^(19) + 4213061*a^(17) + 4594692*a^(15) + 3672970*a^(13) + 2095977*a^(11) + 820093*a^(9) + 206528*a^(7) + 30065*a^(5) + 2064*a^(3) + 47*a , a^(40) + 40*a^(38) + 740*a^(36) + 8400*a^(34) + 65450*a^(32) + 371008*a^(30) + 1582240*a^(28) + 5178240*a^(26) + 13147875*a^(24) + 26013000*a^(22) + 40060020*a^(20) + 47720400*a^(18) + 43459650*a^(16) + 29716000*a^(14) + 14858000*a^(12) + 5230016*a^(10) + 1225785*a^(8) + 175560*a^(6) + 13300*a^(4) + 400*a^(2) + 2 , a^(20) + 20*a^(18) + 170*a^(16) + 800*a^(14) + 2275*a^(12) + 4004*a^(10) + 4290*a^(8) + 2640*a^(6) + 825*a^(4) + 100*a^(2) + 2 , a^(6) + 6*a^(4) + 9*a^(2) + 2 , a^(2) + 2 ], 1776855897760068.5, [[x^2 + 1, 1], [x^3 - x^2 - 2*x + 1, 1], [x^6 + 5*x^4 + 6*x^2 + 1, 1], [x^7 - 21*x^5 - 21*x^4 + 91*x^3 + 112*x^2 - 84*x - 97, 1], [x^14 + 42*x^12 + 623*x^10 + 4431*x^8 + 16513*x^6 + 31906*x^4 + 28784*x^2 + 9409, 1], [x^21 - 21*x^19 + 189*x^17 - 952*x^15 - x^14 + 2940*x^13 + 14*x^12 - 5733*x^11 - 77*x^10 + 7007*x^9 + 210*x^8 - 5147*x^7 - 294*x^6 + 2072*x^5 + 196*x^4 - 371*x^3 - 49*x^2 + 14*x + 1, 1]]]