Global number field search results

Further refine search

Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying matches 1-50 of 159)

Label	Polynomial	Discriminant	Galois group	Class group
32.0.47330370277129322496000000000000000000000000.1	x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1	\( 2^{64}\cdot 3^{16}\cdot 5^{24} \)	$C_2^3\times C_4$ (as 32T34)	$[4]$ (GRH)
32.0.366225584701948244050176000000000000000000000000.1	x^32 - 3x^30 + 4x^28 - 9x^26 + 27x^24 - 93x^22 + 188x^20 - 279x^18 + 581x^16 - 1116x^14 + 3008x^12 - 5952x^10 + 6912x^8 - 9216x^6 + 16384x^4 - 49152x^2 + 65536	\( 2^{32}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.520402924666472696020370152488960000000000000000.1	x^32 - 47x^24 + 2208x^16 - 47x^8 + 1	\( 2^{96}\cdot 3^{16}\cdot 5^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[20]$ (GRH)
32.0.36539993586348786372837376000000000000000000000000.1	x^32 - x^28 - 15x^24 + 31x^20 + 209x^16 + 496x^12 - 3840x^8 - 4096x^4 + 65536	\( 2^{64}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.113341328678310292663197722067951895712000278265856.1	x^32 + 31x^24 + 705x^16 + 7936x^8 + 65536	\( 2^{96}\cdot 3^{16}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[4, 4, 4]$ (GRH)
32.0.506364211574415072751124736000000000000000000000000.1	x^32 - 5x^30 + 9x^28 - 10x^26 + 50x^24 - 565x^22 + 1746x^20 - 1130x^18 - 911x^16 - 10170x^14 + 141426x^12 - 411885x^10 + 328050x^8 - 590490x^6 + 4782969x^4 - 23914845x^2 + 43046721	\( 2^{32}\cdot 3^{16}\cdot 5^{24}\cdot 11^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.7332864799814241410137948416000000000000000000000000.1	x^32 + 7x^30 + 9x^28 - 154x^26 - 1078x^24 - 5593x^22 - 6462x^20 + 123046x^18 + 854761x^16 + 1107414x^14 - 523422x^12 - 4077297x^10 - 7072758x^8 - 9093546x^6 + 4782969x^4 + 33480783x^2 + 43046721	\( 2^{32}\cdot 3^{16}\cdot 5^{24}\cdot 13^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.24000959919026880122072334336000000000000000000000000.1	x^32 - 2x^31 + 9x^30 - 30x^29 + 46x^28 + 64x^27 - 323x^26 + 2264x^25 - 7635x^24 + 21504x^23 - 30305x^22 + 57880x^21 + 39466x^20 - 694266x^19 + 2319339x^18 - 3485698x^17 + 14846451x^16 - 12810752x^15 + 2519526x^14 + 3448824x^13 - 3068744x^12 + 1256816x^11 - 39944x^10 - 329952x^9 + 240720x^8 - 70592x^7 - 12128x^6 + 24320x^5 - 13184x^4 + 3072x^3 + 1152x^2 - 1024x + 256	\( 2^{48}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.24000959919026880122072334336000000000000000000000000.2	x^32 - 2x^31 + x^30 - 10x^29 - 20x^28 - 136x^27 + 489x^26 + 412x^25 + 1455x^24 - 380x^23 + 20765x^22 - 113020x^21 + 22444x^20 - 71630x^19 + 273805x^18 - 1917530x^17 + 8820755x^16 - 6803856x^15 - 3050102x^14 + 14422848x^13 - 16249472x^12 + 4718368x^11 + 18224552x^10 - 33044576x^9 + 20240880x^8 + 9340480x^7 + 2473504x^6 + 461696x^5 - 5632x^4 + 15872x^3 + 6272x^2 + 1536x + 256	\( 2^{48}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.50522262278163705147147943936000000000000000000000000.1	x^32 - 7x^28 - 32x^24 + 791x^20 - 2945x^16 + 64071x^12 - 209952x^8 - 3720087x^4 + 43046721	\( 2^{64}\cdot 5^{24}\cdot 11^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.156712132992285501115475016655592096377279059345801216.1	x^32 + 113x^24 + 6208x^16 + 741393x^8 + 43046721	\( 2^{96}\cdot 3^{16}\cdot 11^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.203282392447840896882957090816000000000000000000000000.8	x^32 - 175x^24 + 30000x^16 - 109375x^8 + 390625	\( 2^{96}\cdot 3^{16}\cdot 5^{24} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.401761478270509541172805101174925557760000000000000000.1	x^32 - 1457x^24 + 565953x^16 - 372992x^8 + 65536	\( 2^{96}\cdot 5^{16}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 8, 8]$ (GRH)
32.0.431022809469660770170681990696218941342911988389380096.1	x^32 + 27x^28 + 363x^24 + 9266x^20 + 125559x^16 + 108354x^12 + 65218x^8 + 24948x^4 + 6561	\( 2^{64}\cdot 3^{16}\cdot 13^{24} \)	$C_2^3\times C_4$ (as 32T34)	$[4, 4, 12]$ (GRH)
32.0.731633299112184496737658863616000000000000000000000000.1	x^32 - 31x^28 + 880x^24 - 24769x^20 + 696559x^16 - 2006289x^12 + 5773680x^8 - 16474671x^4 + 43046721	\( 2^{64}\cdot 5^{24}\cdot 13^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.2269411734589106044097671648260059368198723646622007296.1	x^32 - 799x^24 + 631840x^16 - 5242239x^8 + 43046721	\( 2^{96}\cdot 3^{16}\cdot 13^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.15313006310778859037593306549361889116160000000000000000.1	x^32 + 9x^30 - 54x^28 + 1035x^26 + 16752x^24 + 486x^22 - 81535x^20 - 2988x^18 + 257994x^16 - 41841x^14 - 657960x^12 + 460998x^10 + 1297957x^8 - 167940x^6 - 81486x^4 - 8748x^2 + 6561	\( 2^{32}\cdot 3^{16}\cdot 5^{16}\cdot 13^{24} \)	$C_2^3\times C_4$ (as 32T34)	$[4, 4, 4, 8]$ (GRH)
32.0.53503546288734745169056818528256000000000000000000000000.1	x^32 - 49x^28 + 2145x^24 - 92561x^20 + 3986369x^16 - 23695616x^12 + 140574720x^8 - 822083584x^4 + 4294967296	\( 2^{64}\cdot 5^{24}\cdot 17^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.165959608368191494870637405649052436842728987849325019136.1	x^32 - 1889x^24 + 3502785x^16 - 123797504x^8 + 4294967296	\( 2^{96}\cdot 3^{16}\cdot 17^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.269546632883105820058091127981737482106510848676862099456.1	x^32 - 89x^28 + 6657x^24 - 112318x^20 + 1589774x^16 - 112318x^12 + 6657x^8 - 89x^4 + 1	\( 2^{64}\cdot 3^{16}\cdot 17^{24} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 4, 4, 4, 20]$ (GRH)
32.0.317144688149745561525050153107456000000000000000000000000.1	x^32 - 31x^28 + 336x^24 + 8959x^20 - 487729x^16 + 5599375x^12 + 131250000x^8 - 7568359375x^4 + 152587890625	\( 2^{64}\cdot 5^{24}\cdot 19^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.555498148363897775465439454409629483663360000000000000000.1	x^32 - 16x^31 + 168x^30 - 1280x^29 + 7940x^28 - 41328x^27 + 186928x^26 - 745264x^25 + 2661064x^24 - 8576968x^23 + 25163388x^22 - 67485584x^21 + 166198466x^20 - 376678008x^19 + 787966480x^18 - 1523844232x^17 + 2732603853x^16 - 4553339576x^15 + 7076120604x^14 - 10275000064x^13 + 13969080118x^12 - 17739551640x^11 + 20941585712x^10 - 22729087880x^9 + 22339693138x^8 - 19475722016x^7 + 14623867272x^6 - 9105819856x^5 + 4388439484x^4 - 1453633536x^3 + 226590728x^2 + 29361904x + 22688836	\( 2^{96}\cdot 5^{16}\cdot 11^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.983733077380442711194506053245519508393843121594707214336.1	x^32 + 289x^24 - 307104x^16 + 112890625x^8 + 152587890625	\( 2^{96}\cdot 3^{16}\cdot 19^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.1527848341996520753686611488433972088668160000000000000000.1	x^32 - 189x^28 + 17931x^24 - 168350x^20 + 703575x^16 - 1493310x^12 + 1488226x^8 - 174636x^4 + 6561	\( 2^{64}\cdot 5^{16}\cdot 13^{24} \)	$C_2^3\times C_4$ (as 32T34)	$[4, 408]$ (GRH)
32.32.1572926909253345615680132503044096000000000000000000000000.1	x^32 - 64x^30 + 1857x^28 - 32312x^26 + 375816x^24 - 3083136x^22 + 18349567x^20 - 80265176x^18 + 258638727x^16 - 609791200x^14 + 1035373423x^12 - 1232817768x^10 + 987632472x^8 - 498130816x^6 + 140204289x^4 - 16422920x^2 + 3481	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	Trivial (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.1	x^32 - 71x^28 + 4416x^24 - 269161x^20 + 16350431x^16 - 168225625x^12 + 1725000000x^8 - 17333984375x^4 + 152587890625	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.1572926909253345615680132503044096000000000000000000000000.2	x^32 - 76x^28 + 5170x^24 - 45134x^20 + 332199x^16 - 279214x^12 + 211915x^8 - 461x^4 + 1	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 4, 4, 16]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.3	x^32 - 23x^28 + 528x^24 - 12121x^20 + 278255x^16 - 12121x^12 + 528x^8 - 23x^4 + 1	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[4, 4, 4, 80]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.4	x^32 + 49x^28 - 117649x^20 - 5764801x^16 - 282475249x^12 + 678223072849x^4 + 33232930569601	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.1572926909253345615680132503044096000000000000000000000000.5	x^32 + 236x^28 + 10506x^24 + 137746x^20 + 691751x^16 + 1498330x^12 + 1339275x^8 + 393875x^4 + 625	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[4, 4, 4, 160]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.6	x^32 + 169x^28 + 10576x^24 + 298319x^20 + 3693351x^16 + 17806495x^12 + 27249400x^8 + 913625x^4 + 625	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[4, 4, 4, 80]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.7	x^32 + 64x^30 + 1857x^28 + 32312x^26 + 375816x^24 + 3083136x^22 + 18349567x^20 + 80265176x^18 + 258638727x^16 + 609791200x^14 + 1035373423x^12 + 1232817768x^10 + 987632472x^8 + 498130816x^6 + 140204289x^4 + 16422920x^2 + 3481	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[4, 4, 20, 160]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.8	x^32 - 16x^30 + 177x^28 - 1688x^26 + 14936x^24 - 91304x^22 + 481887x^20 - 2274304x^18 + 9141847x^16 - 23604240x^14 + 56712663x^12 - 119220552x^10 + 177460632x^8 - 14027904x^6 + 1108809x^4 - 87480x^2 + 6561	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[4, 4, 4, 16]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.9	x^32 + 16x^30 + 177x^28 + 1688x^26 + 14936x^24 + 91304x^22 + 481887x^20 + 2274304x^18 + 9141847x^16 + 23604240x^14 + 56712663x^12 + 119220552x^10 + 177460632x^8 + 14027904x^6 + 1108809x^4 + 87480x^2 + 6561	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 2, 2, 2, 10, 20]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.10	x^32 - 16x^31 + 184x^30 - 1520x^29 + 10334x^28 - 58604x^27 + 287602x^26 - 1233388x^25 + 4688282x^24 - 15889444x^23 + 48314366x^22 - 132207604x^21 + 326361852x^20 - 727469324x^19 + 1464404298x^18 - 2660057452x^17 + 4353318135x^16 - 6403659660x^15 + 8440471994x^14 - 9930099548x^13 + 10378954300x^12 - 9583863764x^11 + 7766700502x^10 - 5480415412x^9 + 3335315605x^8 - 1730268776x^7 + 753847668x^6 - 270487448x^5 + 77802183x^4 - 17245236x^3 + 2765566x^2 - 285676x + 14281	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 4, 4, 8]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.11	x^32 + 21x^28 + 4390x^24 + 27204x^20 + 1518849x^16 + 776784x^12 + 4625920x^8 + 147456x^4 + 65536	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 4, 4, 40]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.12	x^32 + 12x^30 + 79x^28 + 216x^26 - 1983x^24 + 7032x^22 + 222383x^20 + 2112876x^18 + 11268881x^16 + 8451504x^14 + 3558128x^12 + 450048x^10 - 507648x^8 + 221184x^6 + 323584x^4 + 196608x^2 + 65536	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 4, 20, 40]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.13	x^32 + 48x^30 + 1129x^28 + 16884x^26 + 177562x^24 + 1378608x^22 + 8103128x^20 + 36449184x^18 + 125568321x^16 + 328468416x^14 + 640424848x^12 + 900463872x^10 + 864389632x^8 + 511819776x^6 + 152797184x^4 + 4718592x^2 + 65536	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 4, 8, 40, 80]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.14	x^32 - 8x^31 + 4x^30 + 80x^29 + 236x^28 - 2284x^27 + 1252x^26 + 10276x^25 + 22235x^24 - 160544x^23 + 129290x^22 + 123100x^21 + 915936x^20 - 3519844x^19 + 4137624x^18 - 5005052x^17 + 15048996x^16 - 29635068x^15 + 39573806x^14 - 54449344x^13 + 76409356x^12 - 89459536x^11 + 92328106x^10 - 90665588x^9 + 79406215x^8 - 60196108x^7 + 41428692x^6 - 25509340x^5 + 13175136x^4 - 5760912x^3 + 2169322x^2 - 594596x + 78961	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 2, 2, 4, 20]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.15	x^32 - 32x^30 + 609x^28 - 7696x^26 + 72552x^24 - 517992x^22 + 2894263x^20 - 12535456x^18 + 42422151x^16 - 108450824x^14 + 207480103x^12 - 270080808x^10 + 234944832x^8 - 85434344x^6 + 22080969x^4 - 1937848x^2 + 130321	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 4, 4, 80]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.16	x^32 + 32x^30 + 609x^28 + 7696x^26 + 72552x^24 + 517992x^22 + 2894263x^20 + 12535456x^18 + 42422151x^16 + 108450824x^14 + 207480103x^12 + 270080808x^10 + 234944832x^8 + 85434344x^6 + 22080969x^4 + 1937848x^2 + 130321	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 4, 4, 8, 80]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.17	x^32 - 16x^31 + 168x^30 - 1280x^29 + 7918x^28 - 41020x^27 + 183466x^26 - 718276x^25 + 2489518x^24 - 7687636x^23 + 21235254x^22 - 52567076x^21 + 116610362x^20 - 231450216x^19 + 409713728x^18 - 643690432x^17 + 891439082x^16 - 1078291980x^15 + 1125846650x^14 - 999898964x^13 + 743691738x^12 - 460538212x^11 + 247885630x^10 - 137310532x^9 + 93434649x^8 - 66186296x^7 + 36347776x^6 - 12030544x^5 + 1478892x^4 - 229664x^3 + 694048x^2 - 416736x + 413596	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 2, 2, 4, 40]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.18	x^32 - 16x^31 + 160x^30 - 1160x^29 + 6758x^28 - 32900x^27 + 137922x^26 - 506220x^25 + 1645758x^24 - 4772316x^23 + 12374350x^22 - 28669532x^21 + 59055416x^20 - 107169676x^19 + 168599986x^18 - 223250556x^17 + 233244785x^16 - 155507284x^15 - 27458046x^14 + 274978956x^13 - 481999064x^12 + 526514548x^11 - 347796254x^10 + 4847964x^9 + 351155703x^8 - 567444664x^7 + 586114096x^6 - 455539424x^5 + 280011493x^4 - 136583632x^3 + 53725576x^2 - 15682728x + 3489481	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 4, 4, 8, 8]$ (GRH)
32.0.1572926909253345615680132503044096000000000000000000000000.19	x^32 + 12x^30 - 20x^29 + 134x^28 + 160x^27 + 806x^26 + 1660x^25 - 4368x^24 + 14920x^23 - 18238x^22 + 72540x^21 + 51278x^20 - 604520x^19 + 778586x^18 - 4167900x^17 + 6106776x^16 + 2072120x^15 - 7073306x^14 + 52233500x^13 - 159058772x^12 + 187842120x^11 - 109316122x^10 - 115761180x^9 + 821797637x^8 - 1733801640x^7 + 1884896234x^6 - 1217828880x^5 + 571687194x^4 - 291053480x^3 + 149005988x^2 - 41560600x + 4354996	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.1572926909253345615680132503044096000000000000000000000000.20	x^32 + 6x^30 - 12x^29 + 91x^28 - 192x^27 + 270x^26 - 120x^25 + 3594x^24 + 984x^23 + 2994x^22 - 74580x^21 - 95044x^20 - 641568x^19 + 624744x^18 - 4926492x^17 + 18733574x^16 + 5648256x^15 + 40514058x^14 + 25660788x^13 - 357832945x^12 - 114096144x^11 - 92609202x^10 + 76338312x^9 + 1766268390x^8 + 189665064x^7 - 790864434x^6 + 999542892x^5 - 722556206x^4 - 481122960x^3 + 716221644x^2 - 267857268x + 33573121	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.1572926909253345615680132503044096000000000000000000000000.21	x^32 - 8x^30 + 9x^28 + 296x^26 - 2368x^24 + 15632x^22 - 16857x^20 - 578384x^18 + 4620511x^16 - 5205456x^14 - 1365417x^12 + 11395728x^10 - 15536448x^8 + 17478504x^6 + 4782969x^4 - 38263752x^2 + 43046721	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.1572926909253345615680132503044096000000000000000000000000.22	x^32 + 8x^30 + 9x^28 - 296x^26 - 2368x^24 - 15632x^22 - 16857x^20 + 578384x^18 + 4620511x^16 + 5205456x^14 - 1365417x^12 - 11395728x^10 - 15536448x^8 - 17478504x^6 + 4782969x^4 + 38263752x^2 + 43046721	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.1572926909253345615680132503044096000000000000000000000000.23	x^32 - 119x^28 + 9880x^24 - 412321x^20 + 12533799x^16 - 204396521x^12 + 2295298360x^8 - 710952319x^4 + 214358881	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a
32.0.1572926909253345615680132503044096000000000000000000000000.24	x^32 - 84x^28 + 5930x^24 - 162606x^20 + 2174199x^16 - 17206446x^12 + 89094515x^8 - 280197189x^4 + 519885601	\( 2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16} \)	$C_2^3\times C_4$ (as 32T34)	$[2, 2, 2, 2, 2, 40]$ (GRH)
32.0.6742876460661466820072365921140736000000000000000000000000.1	x^32 - 49x^28 + 1105x^24 + 9359x^20 - 1890671x^16 + 12129264x^12 + 1855975680x^8 - 106662334464x^4 + 2821109907456	\( 2^{64}\cdot 5^{24}\cdot 23^{16} \)	$C_2^3\times C_4$ (as 32T34)	n/a