/* 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 - 16*x^39 + 1066*x^36 + 13384*x^33 + 639480*x^30 + 581064*x^27 + 10535858*x^24 - 25402305*x^21 + 171805922*x^18 - 184669454*x^15 + 198189968*x^12 + 3751640*x^9 + 57337*x^6 + 267*x^3 + 1, 42, 1, [0, 21], -50695215285987529776146634789549734025587976443244441326301426824919673222871754267, [3, 29], [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, 1/171721640178611*a^36 - 83285078158257/171721640178611*a^33 - 41211870895966/171721640178611*a^30 - 55415557325085/171721640178611*a^27 + 67310111522949/171721640178611*a^24 - 34080177541187/171721640178611*a^21 + 48573519142526/171721640178611*a^18 + 77963249104841/171721640178611*a^15 - 48617152457367/171721640178611*a^12 - 22823869911138/171721640178611*a^9 + 34054536605198/171721640178611*a^6 - 54873007010306/171721640178611*a^3 + 17212569281587/171721640178611, 1/171721640178611*a^37 - 83285078158257/171721640178611*a^34 - 41211870895966/171721640178611*a^31 - 55415557325085/171721640178611*a^28 + 67310111522949/171721640178611*a^25 - 34080177541187/171721640178611*a^22 + 48573519142526/171721640178611*a^19 + 77963249104841/171721640178611*a^16 - 48617152457367/171721640178611*a^13 - 22823869911138/171721640178611*a^10 + 34054536605198/171721640178611*a^7 - 54873007010306/171721640178611*a^4 + 17212569281587/171721640178611*a, 1/171721640178611*a^38 - 83285078158257/171721640178611*a^35 - 41211870895966/171721640178611*a^32 - 55415557325085/171721640178611*a^29 + 67310111522949/171721640178611*a^26 - 34080177541187/171721640178611*a^23 + 48573519142526/171721640178611*a^20 + 77963249104841/171721640178611*a^17 - 48617152457367/171721640178611*a^14 - 22823869911138/171721640178611*a^11 + 34054536605198/171721640178611*a^8 - 54873007010306/171721640178611*a^5 + 17212569281587/171721640178611*a^2, 1/2676106971224551374446759534886634335460916386021997*a^39 - 2733600406176698800082013841193351995/2676106971224551374446759534886634335460916386021997*a^36 + 697481714756157566936323746025851258017886698456933/2676106971224551374446759534886634335460916386021997*a^33 + 540510634217631627085731956652564434292061826463848/2676106971224551374446759534886634335460916386021997*a^30 + 596618160069694753052241832560344202265855799802264/2676106971224551374446759534886634335460916386021997*a^27 + 664305371317999207334906519793259490916118455337018/2676106971224551374446759534886634335460916386021997*a^24 + 174831254994100485180084623317309736643308061807121/2676106971224551374446759534886634335460916386021997*a^21 + 190323854239706666721449514804126997978700975373557/2676106971224551374446759534886634335460916386021997*a^18 - 1063887725464180880181211218507818742216832958127012/2676106971224551374446759534886634335460916386021997*a^15 + 646676432853899666234832341348358426472506778396256/2676106971224551374446759534886634335460916386021997*a^12 + 26863433736037598637849655274943817258327057688034/157418057130855963202750560875684372674171552118941*a^9 - 436339076642108033816185817726200765408402804815822/2676106971224551374446759534886634335460916386021997*a^6 + 1269362859785224150078525564452420187918037269915645/2676106971224551374446759534886634335460916386021997*a^3 + 152220266972783025633111445818642166975900797034703/2676106971224551374446759534886634335460916386021997, 1/2676106971224551374446759534886634335460916386021997*a^40 - 2733600406176698800082013841193351995/2676106971224551374446759534886634335460916386021997*a^37 + 697481714756157566936323746025851258017886698456933/2676106971224551374446759534886634335460916386021997*a^34 + 540510634217631627085731956652564434292061826463848/2676106971224551374446759534886634335460916386021997*a^31 + 596618160069694753052241832560344202265855799802264/2676106971224551374446759534886634335460916386021997*a^28 + 664305371317999207334906519793259490916118455337018/2676106971224551374446759534886634335460916386021997*a^25 + 174831254994100485180084623317309736643308061807121/2676106971224551374446759534886634335460916386021997*a^22 + 190323854239706666721449514804126997978700975373557/2676106971224551374446759534886634335460916386021997*a^19 - 1063887725464180880181211218507818742216832958127012/2676106971224551374446759534886634335460916386021997*a^16 + 646676432853899666234832341348358426472506778396256/2676106971224551374446759534886634335460916386021997*a^13 + 26863433736037598637849655274943817258327057688034/157418057130855963202750560875684372674171552118941*a^10 - 436339076642108033816185817726200765408402804815822/2676106971224551374446759534886634335460916386021997*a^7 + 1269362859785224150078525564452420187918037269915645/2676106971224551374446759534886634335460916386021997*a^4 + 152220266972783025633111445818642166975900797034703/2676106971224551374446759534886634335460916386021997*a, 1/2676106971224551374446759534886634335460916386021997*a^41 - 2733600406176698800082013841193351995/2676106971224551374446759534886634335460916386021997*a^38 + 697481714756157566936323746025851258017886698456933/2676106971224551374446759534886634335460916386021997*a^35 + 540510634217631627085731956652564434292061826463848/2676106971224551374446759534886634335460916386021997*a^32 + 596618160069694753052241832560344202265855799802264/2676106971224551374446759534886634335460916386021997*a^29 + 664305371317999207334906519793259490916118455337018/2676106971224551374446759534886634335460916386021997*a^26 + 174831254994100485180084623317309736643308061807121/2676106971224551374446759534886634335460916386021997*a^23 + 190323854239706666721449514804126997978700975373557/2676106971224551374446759534886634335460916386021997*a^20 - 1063887725464180880181211218507818742216832958127012/2676106971224551374446759534886634335460916386021997*a^17 + 646676432853899666234832341348358426472506778396256/2676106971224551374446759534886634335460916386021997*a^14 + 26863433736037598637849655274943817258327057688034/157418057130855963202750560875684372674171552118941*a^11 - 436339076642108033816185817726200765408402804815822/2676106971224551374446759534886634335460916386021997*a^8 + 1269362859785224150078525564452420187918037269915645/2676106971224551374446759534886634335460916386021997*a^5 + 152220266972783025633111445818642166975900797034703/2676106971224551374446759534886634335460916386021997*a^2], 1, 0,0,0,0,0, [[x^2 - x + 1, 1], [x^3 - 3*x - 1, 1], [x^6 - x^3 + 1, 1], [x^7 - x^6 - 12*x^5 + 7*x^4 + 28*x^3 - 14*x^2 - 9*x - 1, 1], [x^14 - x^13 + 13*x^12 - 2*x^11 + 123*x^10 - 42*x^9 + 353*x^8 - 132*x^7 + 776*x^6 - 254*x^5 + 455*x^4 + 182*x^3 + 67*x^2 + 9*x + 1, 1], [x^21 - 3*x^20 - 54*x^19 + 142*x^18 + 1131*x^17 - 2619*x^16 - 12066*x^15 + 24246*x^14 + 72072*x^13 - 121339*x^12 - 250395*x^11 + 331947*x^10 + 508726*x^9 - 470445*x^8 - 589995*x^7 + 290104*x^6 + 363423*x^5 - 39813*x^4 - 91517*x^3 - 11880*x^2 + 3264*x + 289, 1]]]