/* 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^19 - 2*x^18 - 18*x^17 + 32*x^16 + 132*x^15 - 202*x^14 - 502*x^13 + 645*x^12 + 1045*x^11 - 1122*x^10 - 1176*x^9 + 1078*x^8 + 700*x^7 - 557*x^6 - 220*x^5 + 151*x^4 + 34*x^3 - 20*x^2 - 2*x + 1, 19, 8, [13, 3], -801631882964189735135508990628664, [2, 13, 17, 3229, 34365587, 85132367, 3692009831], [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], 0, 1, [], 1, [ a , a^(17) - 2*a^(16) - 18*a^(15) + 32*a^(14) + 132*a^(13) - 202*a^(12) - 502*a^(11) + 645*a^(10) + 1045*a^(9) - 1122*a^(8) - 1176*a^(7) + 1078*a^(6) + 700*a^(5) - 557*a^(4) - 219*a^(3) + 150*a^(2) + 29*a - 17 , 51*a^(18) - 78*a^(17) - 955*a^(16) + 1184*a^(15) + 7293*a^(14) - 6894*a^(13) - 28863*a^(12) + 19476*a^(11) + 62481*a^(10) - 28386*a^(9) - 73289*a^(8) + 21531*a^(7) + 45679*a^(6) - 7882*a^(5) - 14779*a^(4) + 1164*a^(3) + 2231*a^(2) - 48*a - 119 , 2*a^(18) - 3*a^(17) - 38*a^(16) + 46*a^(15) + 296*a^(14) - 272*a^(13) - 1206*a^(12) + 788*a^(11) + 2735*a^(10) - 1199*a^(9) - 3474*a^(8) + 980*a^(7) + 2478*a^(6) - 414*a^(5) - 996*a^(4) + 82*a^(3) + 213*a^(2) - 7*a - 18 , 14*a^(18) - 49*a^(17) - 205*a^(16) + 810*a^(15) + 1100*a^(14) - 5338*a^(13) - 2349*a^(12) + 17867*a^(11) - 28*a^(10) - 32037*a^(9) + 7939*a^(8) + 29913*a^(7) - 11415*a^(6) - 13498*a^(5) + 5791*a^(4) + 2813*a^(3) - 1180*a^(2) - 214*a + 81 , 36*a^(18) - 50*a^(17) - 685*a^(16) + 747*a^(15) + 5321*a^(14) - 4235*a^(13) - 21452*a^(12) + 11436*a^(11) + 47450*a^(10) - 15467*a^(9) - 57184*a^(8) + 10452*a^(7) + 36759*a^(6) - 3084*a^(5) - 12132*a^(4) + 173*a^(3) + 1836*a^(2) + 29*a - 97 , 37*a^(18) - 88*a^(17) - 628*a^(16) + 1412*a^(15) + 4267*a^(14) - 8937*a^(13) - 14605*a^(12) + 28457*a^(11) + 25769*a^(10) - 48391*a^(9) - 21110*a^(8) + 43175*a^(7) + 5575*a^(6) - 18663*a^(5) + 746*a^(4) + 3590*a^(3) - 475*a^(2) - 239*a + 43 , 83*a^(18) - 128*a^(17) - 1560*a^(16) + 1955*a^(15) + 11983*a^(14) - 11481*a^(13) - 47870*a^(12) + 32798*a^(11) + 105202*a^(10) - 48332*a^(9) - 126315*a^(8) + 36627*a^(7) + 81059*a^(6) - 12924*a^(5) - 26779*a^(4) + 1657*a^(3) + 4052*a^(2) - 36*a - 212 , 142*a^(18) - 188*a^(17) - 2718*a^(16) + 2778*a^(15) + 21238*a^(14) - 15455*a^(13) - 86129*a^(12) + 40343*a^(11) + 191738*a^(10) - 51236*a^(9) - 233022*a^(8) + 30800*a^(7) + 151717*a^(6) - 6790*a^(5) - 50997*a^(4) - 480*a^(3) + 7876*a^(2) + 196*a - 424 , 105*a^(18) - 180*a^(17) - 1927*a^(16) + 2780*a^(15) + 14399*a^(14) - 16631*a^(13) - 55633*a^(12) + 48951*a^(11) + 116991*a^(10) - 75483*a^(9) - 131816*a^(8) + 60898*a^(7) + 77439*a^(6) - 23702*a^(5) - 23241*a^(4) + 3881*a^(3) + 3170*a^(2) - 199*a - 143 , 98*a^(18) - 239*a^(17) - 1646*a^(16) + 3830*a^(15) + 11027*a^(14) - 24188*a^(13) - 36980*a^(12) + 76670*a^(11) + 63037*a^(10) - 129072*a^(9) - 47762*a^(8) + 112671*a^(7) + 8811*a^(6) - 46711*a^(5) + 3511*a^(4) + 8593*a^(3) - 1373*a^(2) - 552*a + 116 , 4*a^(18) - 14*a^(17) - 58*a^(16) + 231*a^(15) + 303*a^(14) - 1520*a^(13) - 581*a^(12) + 5086*a^(11) - 376*a^(10) - 9141*a^(9) + 3075*a^(8) + 8587*a^(7) - 4199*a^(6) - 3890*a^(5) + 2213*a^(4) + 792*a^(3) - 480*a^(2) - 56*a + 35 , 117*a^(18) - 302*a^(17) - 1936*a^(16) + 4883*a^(15) + 12701*a^(14) - 31241*a^(13) - 41241*a^(12) + 100886*a^(11) + 66039*a^(10) - 174352*a^(9) - 41026*a^(8) + 157987*a^(7) - 4958*a^(6) - 69302*a^(5) + 12070*a^(4) + 13596*a^(3) - 3358*a^(2) - 926*a + 258 , 4*a^(18) + 20*a^(17) - 128*a^(16) - 369*a^(15) + 1410*a^(14) + 2764*a^(13) - 7444*a^(12) - 10587*a^(11) + 20888*a^(10) + 21506*a^(9) - 31980*a^(8) - 22203*a^(7) + 26257*a^(6) + 10899*a^(5) - 10722*a^(4) - 2427*a^(3) + 1964*a^(2) + 189*a - 124 , 47*a^(18) - 91*a^(17) - 841*a^(16) + 1428*a^(15) + 6105*a^(14) - 8752*a^(13) - 22801*a^(12) + 26681*a^(11) + 45906*a^(10) - 43079*a^(9) - 48518*a^(8) + 36546*a^(7) + 25849*a^(6) - 15047*a^(5) - 6905*a^(4) + 2715*a^(3) + 837*a^(2) - 166*a - 35 ], 23798894722.8, []]