Global number field search results

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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 1258)

Label	Polynomial	Discriminant	Galois group	Class group
32.0.352701833122210710593389803720131611763844129.1	x^32 - x^31 + x^29 - x^28 + x^26 - x^25 + x^23 - x^22 + x^20 - x^19 + x^17 - x^16 + x^15 - x^13 + x^12 - x^10 + x^9 - x^7 + x^6 - x^4 + x^3 - x + 1	\( 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[5]$ (GRH)
32.0.35190667333271321019306672876612934335729762304.1	x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1	\( 2^{32}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[8]$ (GRH)
32.0.1250223652010309685753479160887484565582275390625.1	x^32 - x^31 + 2x^30 - 3x^29 + 5x^28 - 8x^27 + 13x^26 - 21x^25 + 34x^24 - 55x^23 + 89x^22 - 144x^21 + 233x^20 - 377x^19 + 610x^18 - 987x^17 + 1597x^16 + 987x^15 + 610x^14 + 377x^13 + 233x^12 + 144x^11 + 89x^10 + 55x^9 + 34x^8 + 21x^7 + 13x^6 + 8x^5 + 5x^4 + 3x^3 + 2x^2 + x + 1	\( 5^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[17]$ (GRH)
32.0.1461501637330902918203684832716283019655932542976.1	x^32 + 1	\( 2^{160} \)	$C_2\times C_{16}$ (as 32T32)	$[17]$ (GRH)
32.0.272292877590407567597186433188495333554574218609249.1	x^32 - x^31 - x^30 + 3x^29 - x^28 - 5x^27 + 7x^26 + 3x^25 - 17x^24 + 11x^23 + 23x^22 - 45x^21 - x^20 + 91x^19 - 89x^18 - 93x^17 + 271x^16 - 186x^15 - 356x^14 + 728x^13 - 16x^12 - 1440x^11 + 1472x^10 + 1408x^9 - 4352x^8 + 1536x^7 + 7168x^6 - 10240x^5 - 4096x^4 + 24576x^3 - 16384x^2 - 32768x + 65536	\( 7^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[3, 15]$ (GRH)
32.0.2306255574353269294321282113641705264626385702354944.1	x^32 - 2x^30 + 4x^28 - 8x^26 + 16x^24 - 32x^22 + 64x^20 - 128x^18 + 256x^16 - 512x^14 + 1024x^12 - 2048x^10 + 4096x^8 - 8192x^6 + 16384x^4 - 32768x^2 + 65536	\( 2^{48}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[3, 24]$ (GRH)
32.0.2306255574353269294321282113641705264626385702354944.2	x^32 + 2x^30 + 4x^28 + 8x^26 + 16x^24 + 32x^22 + 64x^20 + 128x^18 + 256x^16 + 512x^14 + 1024x^12 + 2048x^10 + 4096x^8 + 8192x^6 + 16384x^4 + 32768x^2 + 65536	\( 2^{48}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.376487536747625684443481098520430035050561572415862689.1	x^32 - x^31 - 2x^30 + 5x^29 + x^28 - 16x^27 + 13x^26 + 35x^25 - 74x^24 - 31x^23 + 253x^22 - 160x^21 - 599x^20 + 1079x^19 + 718x^18 - 3955x^17 + 1801x^16 - 11865x^15 + 6462x^14 + 29133x^13 - 48519x^12 - 38880x^11 + 184437x^10 - 67797x^9 - 485514x^8 + 688905x^7 + 767637x^6 - 2834352x^5 + 531441x^4 + 7971615x^3 - 9565938x^2 - 14348907x + 43046721	\( 11^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.32.488368614066527220997452797221673658430576324462890625.1	x^32 - x^31 - 32x^30 + 31x^29 + 464x^28 - 433x^27 - 4033x^26 + 3600x^25 + 23426x^24 - 19826x^23 - 95978x^22 + 76152x^21 + 285340x^20 - 209188x^19 - 623732x^18 + 414544x^17 + 1004699x^16 - 590154x^15 - 1183593x^14 + 593422x^13 + 1001431x^12 - 407890x^11 - 589403x^10 + 181071x^9 + 228888x^8 - 46882x^7 - 53690x^6 + 5686x^5 + 6516x^4 - 116x^3 - 304x^2 - 16x + 1	\( 5^{24}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	Trivial (GRH)
32.0.1514842838499144573219529960757824409341479409296605184.1	x^32 + 33x^30 + 494x^28 + 4436x^26 + 26623x^24 + 112607x^22 + 344863x^20 + 773397x^18 + 1269578x^16 + 1508868x^14 + 1269578x^12 + 729146x^10 + 270216x^8 + 59244x^6 + 6648x^4 + 288x^2 + 1	\( 2^{32}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[2, 3088]$ (GRH)
32.32.1514842838499144573219529960757824409341479409296605184.1	x^32 - 31x^30 + 434x^28 - 3628x^26 + 20175x^24 - 78705x^22 + 221355x^20 - 454195x^18 + 680390x^16 - 737276x^14 + 566618x^12 - 298870x^10 + 102752x^8 - 21204x^6 + 2280x^4 - 96x^2 + 1	\( 2^{32}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	Trivial (GRH)
32.0.1514842838499144573219529960757824409341479409296605184.2	x^32 + 17x^30 + 170x^28 + 1139x^26 + 5712x^24 + 21930x^22 + 66453x^20 + 158576x^18 + 300254x^16 + 442459x^14 + 505172x^12 + 427142x^10 + 265013x^8 + 107508x^6 + 29478x^4 + 3468x^2 + 289	\( 2^{32}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[2, 1930]$ (GRH)
32.0.1514842838499144573219529960757824409341479409296605184.3	x^32 + 3x^30 + 9x^28 + 27x^26 + 81x^24 + 243x^22 + 729x^20 + 2187x^18 + 6561x^16 + 19683x^14 + 59049x^12 + 177147x^10 + 531441x^8 + 1594323x^6 + 4782969x^4 + 14348907x^2 + 43046721	\( 2^{32}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.5452068180730262807665859440063268048455458111797023009.1	x^32 - x^31 + 4x^30 - 7x^29 + 19x^28 - 40x^27 + 97x^26 - 217x^25 + 508x^24 - 1159x^23 + 2683x^22 - 6160x^21 + 14209x^20 - 32689x^19 + 75316x^18 - 173383x^17 + 399331x^16 + 520149x^15 + 677844x^14 + 882603x^13 + 1150929x^12 + 1496880x^11 + 1955907x^10 + 2534733x^9 + 3332988x^8 + 4271211x^7 + 5727753x^6 + 7085880x^5 + 10097379x^4 + 11160261x^3 + 19131876x^2 + 14348907x + 43046721	\( 13^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.15728213305806640649499960541467376826041611043077095424.1	x^32 - 16x^30 + 152x^28 - 960x^26 + 4524x^24 - 16160x^22 + 45184x^20 - 97984x^18 + 166158x^16 - 213664x^14 + 207712x^12 - 142016x^10 + 68568x^8 - 18816x^6 + 3424x^4 - 128x^2 + 4	\( 2^{158}\cdot 3^{16} \)	$C_2\times C_{16}$ (as 32T32)	$[3, 51]$ (GRH)
32.0.15728213305806640649499960541467376826041611043077095424.2	x^32 + 16x^30 + 152x^28 + 960x^26 + 4524x^24 + 16160x^22 + 45184x^20 + 97984x^18 + 166158x^16 + 213664x^14 + 207712x^12 + 142016x^10 + 68568x^8 + 18816x^6 + 3424x^4 + 128x^2 + 4	\( 2^{158}\cdot 3^{16} \)	$C_2\times C_{16}$ (as 32T32)	$[3, 1203]$ (GRH)
32.32.53818028735688890166227692218037660486426411285400390625.1	x^32 - x^31 - 49x^30 + 48x^29 + 1025x^28 - 977x^27 - 12023x^26 + 11046x^25 + 87635x^24 - 76589x^23 - 417686x^22 + 341097x^21 + 1341822x^20 - 1000725x^19 - 2965533x^18 + 1964808x^17 + 4562969x^16 - 2594590x^15 - 4899810x^14 + 2282032x^13 + 3639474x^12 - 1295443x^11 - 1825949x^10 + 442548x^9 + 590580x^8 - 76972x^7 - 112748x^6 + 3238x^5 + 10596x^4 + 496x^3 - 304x^2 - 16x + 1	\( 3^{16}\cdot 5^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	Trivial (GRH)
32.0.53818028735688890166227692218037660486426411285400390625.1	x^32 - x^31 + 31x^30 - 27x^29 + 430x^28 - 322x^27 + 3532x^26 - 2244x^25 + 19175x^24 - 10199x^23 + 72729x^22 - 31933x^21 + 198487x^20 - 70755x^19 + 395067x^18 - 112047x^17 + 574754x^16 - 122995x^15 + 602425x^14 - 49738x^13 + 418484x^12 + 205417x^11 + 119371x^10 + 637343x^9 - 115465x^8 + 904978x^7 - 113658x^6 + 500408x^5 + 20116x^4 + 527946x^3 - 601474x^2 - 781826x + 3188011	\( 3^{16}\cdot 5^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[17, 816]$ (GRH)
32.0.53818028735688890166227692218037660486426411285400390625.2	x^32 - x^31 - 17x^30 + 18x^29 + 169x^28 - 187x^27 - 1121x^26 + 1308x^25 + 5525x^24 - 6833x^23 - 20622x^22 + 27455x^21 + 59620x^20 - 87075x^19 - 131121x^18 + 218196x^17 + 213179x^16 - 427804x^15 - 227834x^14 + 534224x^13 + 198782x^12 - 308057x^11 - 317867x^10 + 2204306x^9 - 1621426x^8 - 7260650x^7 + 8774568x^6 + 2492744x^5 - 11237834x^4 + 11294784x^3 - 60418x^2 - 12691334x + 12752041	\( 3^{16}\cdot 5^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[2, 170]$ (GRH)
32.0.53818028735688890166227692218037660486426411285400390625.3	x^32 - x^31 - 3x^30 + 7x^29 + 5x^28 - 33x^27 + 13x^26 + 119x^25 - 171x^24 - 305x^23 + 989x^22 + 231x^21 - 4187x^20 + 3263x^19 + 13485x^18 - 26537x^17 - 27403x^16 - 106148x^15 + 215760x^14 + 208832x^13 - 1071872x^12 + 236544x^11 + 4050944x^10 - 4997120x^9 - 11206656x^8 + 31195136x^7 + 13631488x^6 - 138412032x^5 + 83886080x^4 + 469762048x^3 - 805306368x^2 - 1073741824x + 4294967296	\( 3^{16}\cdot 5^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.32.62912853223226562597999842165869507304166444172308381696.1	x^32 - 32x^30 + 464x^28 - 4032x^26 + 23400x^24 - 95680x^22 + 283360x^20 - 615296x^18 + 980628x^16 - 1136960x^14 + 940576x^12 - 537472x^10 + 201552x^8 - 45696x^6 + 5440x^4 - 256x^2 + 1	\( 2^{160}\cdot 3^{16} \)	$C_2\times C_{16}$ (as 32T32)	Trivial (GRH)
32.0.62912853223226562597999842165869507304166444172308381696.1	x^32 + 32x^30 + 464x^28 + 4032x^26 + 23400x^24 + 95680x^22 + 283360x^20 + 615296x^18 + 980628x^16 + 1136960x^14 + 940576x^12 + 537472x^10 + 201552x^8 + 45696x^6 + 5440x^4 + 256x^2 + 1	\( 2^{160}\cdot 3^{16} \)	$C_2\times C_{16}$ (as 32T32)	$[13634]$ (GRH)
32.0.62912853223226562597999842165869507304166444172308381696.2	x^32 + 43046721	\( 2^{160}\cdot 3^{16} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.151142765320815856472639544599622796222554813389533609984.1	x^32 + 32x^30 + 463x^28 + 4004x^26 + 23051x^24 + 93128x^22 + 271214x^20 + 575832x^18 + 891311x^16 + 995824x^14 + 786798x^12 + 425128x^10 + 149106x^8 + 31248x^6 + 3396x^4 + 144x^2 + 1	\( 2^{64}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[2, 6, 2328]$ (GRH)
32.32.151142765320815856472639544599622796222554813389533609984.1	x^32 - 32x^30 + 463x^28 - 4004x^26 + 23051x^24 - 93128x^22 + 271214x^20 - 575832x^18 + 891311x^16 - 995824x^14 + 786798x^12 - 425128x^10 + 149106x^8 - 31248x^6 + 3396x^4 - 144x^2 + 1	\( 2^{64}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[2]$ (GRH)
32.0.151142765320815856472639544599622796222554813389533609984.2	x^32 + 51x^28 + 1003x^24 + 9554x^20 + 45407x^16 + 99994x^12 + 83810x^8 + 17340x^4 + 289	\( 2^{64}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[2, 2, 776]$ (GRH)
32.0.2363334835971866136037396877870723194706308201196277819169.1	x^32 - x^31 - 4x^30 + 9x^29 + 11x^28 - 56x^27 + x^26 + 279x^25 - 284x^24 - 1111x^23 + 2531x^22 + 3024x^21 - 15679x^20 + 559x^19 + 77836x^18 - 80631x^17 - 308549x^16 - 403155x^15 + 1945900x^14 + 69875x^13 - 9799375x^12 + 9450000x^11 + 39546875x^10 - 86796875x^9 - 110937500x^8 + 544921875x^7 + 9765625x^6 - 2734375000x^5 + 2685546875x^4 + 10986328125x^3 - 24414062500x^2 - 30517578125x + 152587890625	\( 17^{30}\cdot 19^{16} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.32.5369669698069964755143230114229268544880640000000000000000.1	x^32 - 51x^30 + 1122x^28 - 14025x^26 + 110704x^24 - 581910x^22 + 2100605x^20 - 5308080x^18 + 9493310x^16 - 12057369x^14 + 10821316x^12 - 6760866x^10 + 2859077x^8 - 780300x^6 + 126582x^4 - 10404x^2 + 289	\( 2^{32}\cdot 5^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	Trivial (GRH)
32.0.5369669698069964755143230114229268544880640000000000000000.1	x^32 - 5x^30 + 25x^28 - 125x^26 + 625x^24 - 3125x^22 + 15625x^20 - 78125x^18 + 390625x^16 - 1953125x^14 + 9765625x^12 - 48828125x^10 + 244140625x^8 - 1220703125x^6 + 6103515625x^4 - 30517578125x^2 + 152587890625	\( 2^{32}\cdot 5^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.5369669698069964755143230114229268544880640000000000000000.2	x^32 + 29x^30 + 382x^28 + 3020x^26 + 15959x^24 + 59435x^22 + 160295x^20 + 316785x^18 + 459050x^16 + 483196x^14 + 362466x^12 + 186394x^10 + 67392x^8 - 7500x^6 + 103392x^4 - 510024x^2 + 2550409	\( 2^{32}\cdot 5^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[40, 1360]$ (GRH)
32.0.5369669698069964755143230114229268544880640000000000000000.3	x^32 - 35x^30 + 562x^28 - 5492x^26 + 36551x^24 - 175781x^22 + 633251x^20 - 1751511x^18 + 3794486x^16 - 6572932x^14 + 9351378x^12 - 11350102x^10 + 12349464x^8 - 12678924x^6 + 12744816x^4 - 12751752x^2 + 12752041	\( 2^{32}\cdot 5^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[2, 2, 136]$ (GRH)
32.32.11721315531921426838644724774450299033325694662265349722529.1	x^32 - x^31 - 62x^30 + 57x^29 + 1741x^28 - 1456x^27 - 29279x^26 + 21999x^25 + 328550x^24 - 218555x^23 - 2594055x^22 + 1501280x^21 + 14806525x^20 - 7300125x^19 - 61804530x^18 + 25303905x^17 + 188675045x^16 - 62155621x^15 - 417033506x^14 + 106258835x^13 + 653702339x^12 - 122456240x^11 - 702418817x^10 + 90494753x^9 + 490797914x^8 - 39835109x^7 - 205111641x^6 + 9562400x^5 + 44453923x^4 - 1257219x^3 - 3752014x^2 + 103231x + 76603	\( 3^{16}\cdot 7^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	Trivial (GRH)
32.0.11721315531921426838644724774450299033325694662265349722529.1	x^32 - x^31 + 34x^30 - 33x^29 + 679x^28 - 646x^27 + 9079x^26 - 8433x^25 + 90746x^24 - 82313x^23 + 693327x^22 - 611014x^21 + 4170679x^20 - 3559665x^19 + 19686714x^18 - 16127049x^17 + 73305359x^16 - 57178411x^15 + 210412060x^14 - 153240517x^13 + 460124585x^12 - 306932144x^11 + 721594375x^10 - 414305095x^9 + 778203968x^8 - 360876953x^7 + 463378521x^6 - 98875264x^5 + 118464295x^4 - 24204327x^3 + 19379456x^2 - 449753x + 10201	\( 3^{16}\cdot 7^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.11721315531921426838644724774450299033325694662265349722529.2	x^32 - 14x^31 + 90x^30 - 354x^29 + 1060x^28 - 3122x^27 + 9718x^26 - 27548x^25 + 68323x^24 - 162420x^23 + 388682x^22 - 885302x^21 + 1883356x^20 - 3859590x^19 + 7747823x^18 - 14894504x^17 + 27483236x^16 - 48703184x^15 + 83847191x^14 - 137630031x^13 + 219099037x^12 - 329935717x^11 + 485458653x^10 - 661629418x^9 + 894648443x^8 - 1078358227x^7 + 1337537651x^6 - 1342929253x^5 + 1540908056x^4 - 1158250822x^3 + 1251370063x^2 - 517957627x + 555187123	\( 3^{16}\cdot 7^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.11721315531921426838644724774450299033325694662265349722529.3	x^32 - x^31 + 6x^30 - 11x^29 + 41x^28 - 96x^27 + 301x^26 - 781x^25 + 2286x^24 - 6191x^23 + 17621x^22 - 48576x^21 + 136681x^20 - 379561x^19 + 1062966x^18 - 2960771x^17 + 8275601x^16 + 14803855x^15 + 26574150x^14 + 47445125x^13 + 85425625x^12 + 151800000x^11 + 275328125x^10 + 483671875x^9 + 892968750x^8 + 1525390625x^7 + 2939453125x^6 + 4687500000x^5 + 10009765625x^4 + 13427734375x^3 + 36621093750x^2 + 30517578125x + 152587890625	\( 3^{16}\cdot 7^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.50247333250656904702494452824050108123783217432758438465889.1	x^32 - x^31 - 5x^30 + 11x^29 + 19x^28 - 85x^27 - 29x^26 + 539x^25 - 365x^24 - 2869x^23 + 5059x^22 + 12155x^21 - 42509x^20 - 30421x^19 + 285475x^18 - 102949x^17 - 1609901x^16 - 617694x^15 + 10277100x^14 - 6570936x^13 - 55091664x^12 + 94517280x^11 + 236032704x^10 - 803136384x^9 - 613059840x^8 + 5431878144x^7 - 1753519104x^6 - 30837749760x^5 + 41358864384x^4 + 143667634176x^3 - 391820820480x^2 - 470184984576x + 2821109907456	\( 17^{30}\cdot 23^{16} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.55751862996326557853839295681620903764951040000000000000000.1	x^32 + 48x^30 + 984x^28 + 11328x^26 + 81260x^24 + 382560x^22 + 1217920x^20 + 2670144x^18 + 4067918x^16 + 4305120x^14 + 3129696x^12 + 1524288x^10 + 475992x^8 + 88704x^6 + 8800x^4 + 384x^2 + 4	\( 2^{158}\cdot 5^{16} \)	$C_2\times C_{16}$ (as 32T32)	$[17, 5729]$ (GRH)
32.32.55751862996326557853839295681620903764951040000000000000000.1	x^32 - 48x^30 + 984x^28 - 11328x^26 + 81260x^24 - 382560x^22 + 1217920x^20 - 2670144x^18 + 4067918x^16 - 4305120x^14 + 3129696x^12 - 1524288x^10 + 475992x^8 - 88704x^6 + 8800x^4 - 384x^2 + 4	\( 2^{158}\cdot 5^{16} \)	$C_2\times C_{16}$ (as 32T32)	Trivial (GRH)
32.0.99276740263879938750515115508224780490603194567662317338624.1	x^32 - 6x^30 + 36x^28 - 216x^26 + 1296x^24 - 7776x^22 + 46656x^20 - 279936x^18 + 1679616x^16 - 10077696x^14 + 60466176x^12 - 362797056x^10 + 2176782336x^8 - 13060694016x^6 + 78364164096x^4 - 470184984576x^2 + 2821109907456	\( 2^{48}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.32.99276740263879938750515115508224780490603194567662317338624.1	x^32 - 2x^31 - 63x^30 + 124x^29 + 1712x^28 - 3300x^27 - 26300x^26 + 49300x^25 + 251803x^24 - 454306x^23 - 1565501x^22 + 2676696x^21 + 6411521x^20 - 10146346x^19 - 17289475x^18 + 24432604x^17 + 30419036x^16 - 36405466x^15 - 34405772x^14 + 32406588x^13 + 24527010x^12 - 16635294x^11 - 10672826x^10 + 4758978x^9 + 2732732x^8 - 704616x^7 - 385884x^6 + 43964x^5 + 26192x^4 - 328x^3 - 624x^2 - 32x + 1	\( 2^{48}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[2]$ (GRH)
32.0.99276740263879938750515115508224780490603194567662317338624.2	x^32 + 6x^30 + 36x^28 + 216x^26 + 1296x^24 + 7776x^22 + 46656x^20 + 279936x^18 + 1679616x^16 + 10077696x^14 + 60466176x^12 + 362797056x^10 + 2176782336x^8 + 13060694016x^6 + 78364164096x^4 + 470184984576x^2 + 2821109907456	\( 2^{48}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.32.99276740263879938750515115508224780490603194567662317338624.2	x^32 - 62x^30 + 1736x^28 - 29024x^26 + 322800x^24 - 2518560x^22 + 14166720x^20 - 58136960x^18 + 174179840x^16 - 377485312x^14 + 580216832x^12 - 612085760x^10 + 420872192x^8 - 173703168x^6 + 37355520x^4 - 3145728x^2 + 65536	\( 2^{48}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.99276740263879938750515115508224780490603194567662317338624.3	x^32 + 62x^30 + 1736x^28 + 29024x^26 + 322800x^24 + 2518560x^22 + 14166720x^20 + 58136960x^18 + 174179840x^16 + 377485312x^14 + 580216832x^12 + 612085760x^10 + 420872192x^8 + 173703168x^6 + 37355520x^4 + 3145728x^2 + 65536	\( 2^{48}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.99276740263879938750515115508224780490603194567662317338624.4	x^32 - 34x^30 + 680x^28 - 9112x^26 + 91392x^24 - 701760x^22 + 4252992x^20 - 20297728x^18 + 76865024x^16 - 226539008x^14 + 517296128x^12 - 874786816x^10 + 1085493248x^8 - 880705536x^6 + 482967552x^4 - 113639424x^2 + 18939904	\( 2^{48}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.99276740263879938750515115508224780490603194567662317338624.5	x^32 + 34x^30 + 680x^28 + 9112x^26 + 91392x^24 + 701760x^22 + 4252992x^20 + 20297728x^18 + 76865024x^16 + 226539008x^14 + 517296128x^12 + 874786816x^10 + 1085493248x^8 + 880705536x^6 + 482967552x^4 + 113639424x^2 + 18939904	\( 2^{48}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.99276740263879938750515115508224780490603194567662317338624.6	x^32 - 2x^31 + x^30 + 4x^29 + 108x^28 - 228x^27 + 404x^26 - 124x^25 + 5275x^24 - 10178x^23 + 29827x^22 - 29120x^21 + 181429x^20 - 275498x^19 + 1000869x^18 - 1175244x^17 + 4552448x^16 - 5579162x^15 + 19519380x^14 - 22301852x^13 + 72254162x^12 - 77576350x^11 + 231999798x^10 - 231692214x^9 + 641213764x^8 - 584431816x^7 + 1459356196x^6 - 1174733284x^5 + 2600147168x^4 - 1662828840x^3 + 3077744976x^2 - 1174279296x + 1761923521	\( 2^{48}\cdot 3^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	$[6, 99888]$ (GRH)
32.0.223007451985306231415357182726483615059804160000000000000000.1	x^32 + 152587890625	\( 2^{160}\cdot 5^{16} \)	$C_2\times C_{16}$ (as 32T32)	n/a
32.0.223007451985306231415357182726483615059804160000000000000000.2	x^32 - 32x^30 + 464x^28 - 4032x^26 + 23400x^24 - 95680x^22 + 283360x^20 - 615296x^18 + 980628x^16 - 1136960x^14 + 940576x^12 - 537472x^10 + 201552x^8 - 45696x^6 + 5440x^4 - 256x^2 + 4870849	\( 2^{160}\cdot 5^{16} \)	$C_2\times C_{16}$ (as 32T32)	$[17, 34]$ (GRH)
32.0.223007451985306231415357182726483615059804160000000000000000.3	x^32 + 32x^30 + 464x^28 + 4032x^26 + 23400x^24 + 95680x^22 + 283360x^20 + 615296x^18 + 980628x^16 + 1136960x^14 + 940576x^12 + 537472x^10 + 201552x^8 + 45696x^6 + 5440x^4 + 256x^2 + 4870849	\( 2^{160}\cdot 5^{16} \)	$C_2\times C_{16}$ (as 32T32)	$[17, 11458]$ (GRH)
32.32.1169489004184531786140825032159476461065507700131479058120704.1	x^32 - 61x^30 + 1681x^28 - 27673x^26 + 303233x^24 - 2332729x^22 + 12948977x^20 - 52494441x^18 + 155540513x^16 - 333780761x^14 + 508663377x^12 - 532743113x^10 + 364184961x^8 - 149641593x^6 + 32083377x^4 - 2695209x^2 + 73441	\( 2^{32}\cdot 7^{16}\cdot 17^{30} \)	$C_2\times C_{16}$ (as 32T32)	Trivial (GRH)