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Label Polynomial Discriminant Galois group Class group
16.8.43104723599206637824.1 x16 - 5x15 + 4x14 + 20x13 - 53x12 + 34x11 + 55x10 - 59x9 - 185x8 + 535x7 - 642x6 + 357x5 - 2x4 - 105x3 + 55x2 - 12x + 1 \( 2^{8}\cdot 17^{14} \) $C_2^2 : C_8$ (as 16T24) Trivial
16.8.73786976294838206464.2 x16 - 8x14 + 12x12 - 8x10 + 42x8 - 72x6 + 36x4 - 8x2 + 1 \( 2^{66} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.0.73786976294838206464.5 x16 + 8x14 + 12x12 + 8x10 + 42x8 + 72x6 + 36x4 + 8x2 + 1 \( 2^{66} \) $C_2^2 : C_8$ (as 16T24) Trivial
16.0.689675577587306205184.1 x16 - 4x15 + 10x14 - 26x13 + 91x12 - 270x11 + 616x10 - 1088x9 + 1602x8 - 2040x7 + 2320x6 - 2302x5 + 2098x4 - 1620x3 + 1066x2 - 420x + 67 \( 2^{12}\cdot 17^{14} \) $C_2^2 : C_8$ (as 16T24) Trivial
16.0.4809039104363049933169.2 x16 - 3x15 + 11x14 - 11x13 + 59x12 + 28x11 + 249x10 + 217x9 + 546x8 + 150x7 + 462x6 + 117x5 + 393x4 + 220x3 + 192x2 + 72x + 16 \( 13^{4}\cdot 17^{14} \) $C_2^2 : C_8$ (as 16T24) $[4]$
16.0.11034809241396899282944.2 x16 + 18x14 + 129x12 + 419x10 + 678x8 + 673x6 + 415x4 + 47x2 + 1 \( 2^{16}\cdot 17^{14} \) $C_2^2 : C_8$ (as 16T24) $[2, 2]$
16.8.21943166735047688468209.1 x16 - 3x15 - 2x14 + 38x13 - 191x11 - 165x10 + 348x9 + 357x8 - 551x7 - 227x6 + 669x5 + 153x4 - 258x3 - 64x2 + 16x + 16 \( 17^{14}\cdot 19^{4} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.16.176556947862350388527104.1 x16 - 23x14 + 190x12 - 744x10 + 1505x8 - 1600x6 + 872x4 - 216x2 + 16 \( 2^{20}\cdot 17^{14} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.0.177162530083906533720064.1 x16 + 24x14 + 172x12 + 568x10 + 970x8 + 856x6 + 356x4 + 56x2 + 1 \( 2^{66}\cdot 7^{4} \) $C_2^2 : C_8$ (as 16T24) $[10]$
16.16.177162530083906533720064.1 x16 - 24x14 + 172x12 - 568x10 + 970x8 - 856x6 + 356x4 - 56x2 + 1 \( 2^{66}\cdot 7^{4} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.0.385172627945073865129984.1 x16 - 8x15 + 60x14 - 280x13 + 1118x12 - 3432x11 + 8804x10 - 18280x9 + 31113x8 - 42800x7 + 47208x6 - 41040x5 + 27432x4 - 13568x3 + 4648x2 - 976x + 94 \( 2^{62}\cdot 17^{4} \) $C_2^2 : C_8$ (as 16T24) $[2]$
16.8.575650281819106455466129.1 x16 - x15 + 7x14 + 15x13 - 62x12 + 43x11 - 310x10 - 629x9 - 268x8 - 1921x7 + 1573x6 - 776x5 + 7x4 + 1618x3 - 556x2 - 184x + 16 \( 17^{14}\cdot 43^{4} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.8.821630081083204084623649.2 x16 - 3x15 + x14 - 40x13 - 136x12 - 203x11 - 694x10 + 178x9 + 427x8 + 2206x7 + 2572x6 + 2059x5 + 1224x4 + 116x3 - 115x2 - 11x + 1 \( 17^{14}\cdot 47^{4} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.16.1328582041288248401656849.1 x16 - x15 - 36x14 + 8x13 + 481x12 + 140x11 - 2935x10 - 1689x9 + 8381x8 + 5551x7 - 10875x6 - 6618x5 + 5375x4 + 2400x3 - 936x2 - 216x + 16 \( 17^{14}\cdot 53^{4} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.0.1540690511780295460519936.3 x16 + 32x14 + 432x12 + 3200x10 + 14144x8 + 37888x6 + 59376x4 + 49024x2 + 16129 \( 2^{64}\cdot 17^{4} \) $C_2^2 : C_8$ (as 16T24) $[2, 10]$ (GRH)
16.8.2040294908815649000428369.1 x16 - x15 - 6x14 - 14x13 - 27x12 + 16x11 - 29x10 + 465x9 + 1927x8 + 2351x7 + 3x6 - 7778x5 - 8065x4 + 4528x3 + 5600x2 + 1216x + 256 \( 17^{14}\cdot 59^{4} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.0.2824911165797606216433664.2 x16 - 6x14 + 54x12 - 64x10 + 587x8 - 240x6 + 5870x4 - 6030x2 + 2209 \( 2^{24}\cdot 17^{14} \) $C_2^2 : C_8$ (as 16T24) $[2, 2]$ (GRH)
16.8.3393001956715501807791409.2 x16 - 6x15 + 4x14 + 54x13 - 119x12 - 138x11 + 532x10 + 463x9 - 2582x8 + 196x7 + 8673x6 - 14128x5 - 2278x4 + 22735x3 - 14330x2 + 2077x - 67 \( 17^{14}\cdot 67^{4} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.8.7990928942138374856180209.1 x16 - 3x15 - 15x14 + 87x13 - 11x12 - 994x11 + 99x10 + 4303x9 + 3872x8 - 8624x7 - 8914x6 + 19675x5 - 27x4 - 26064x3 + 6272x2 + 6656x + 4096 \( 17^{14}\cdot 83^{4} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.0.10564402173046133902941889.2 x16 - 3x15 + 34x14 - 31x13 + 473x12 + 101x11 + 3660x10 + 2113x9 + 15141x8 + 6850x7 + 32800x6 + 14640x5 + 41808x4 + 19840x3 + 26112x2 + 9216x + 4096 \( 17^{14}\cdot 89^{4} \) $C_2^2 : C_8$ (as 16T24) $[140]$ (GRH)
16.0.23705766996822224251350625.1 x16 - 5x15 + 27x14 - 99x13 + 347x12 - 1044x11 + 2589x10 - 5723x9 + 11360x8 - 20192x7 + 32032x6 - 44891x5 + 52463x4 - 53128x3 + 54312x2 - 46472x + 21904 \( 5^{4}\cdot 41^{14} \) $C_2^2 : C_8$ (as 16T24) $[3]$ (GRH)
16.0.137350965859713069141239809.11 x16 - 2x15 + 34x14 - 86x13 + 539x12 - 1176x11 + 4498x10 - 8465x9 + 22378x8 - 36402x7 + 69763x6 - 83044x5 + 129016x4 - 87451x3 + 105638x2 - 40729x + 17407 \( 13^{8}\cdot 17^{14} \) $C_2^2 : C_8$ (as 16T24) $[2, 2, 4]$ (GRH)
16.0.2859655432078149808865465089.3 x16 - 2x15 - 8x14 + 30x13 - 39x12 - 110x11 + 1336x10 - 5341x9 + 18122x8 - 41394x7 + 94489x6 - 151578x5 + 256578x4 - 246727x3 + 388080x2 - 78291x + 242827 \( 17^{14}\cdot 19^{8} \) $C_2^2 : C_8$ (as 16T24) $[10, 10]$ (GRH)
16.0.9885646137219473682569328129.1 x16 - 3x15 + 12x14 - 11x13 - 70x12 + 243x11 - 1544x10 + 2471x9 - 4787x8 - 4508x7 + 70900x6 - 163440x5 + 642304x4 - 1005056x3 + 2335744x2 - 1929216x + 2916352 \( 3^{4}\cdot 73^{14} \) $C_2^2 : C_8$ (as 16T24) $[89]$ (GRH)
16.0.10614152867452364890755536401.2 x16 - 2x15 + 6x14 - 16x13 + 102x12 - 104x11 + 967x10 - 3083x9 + 10279x8 - 13606x7 + 67069x6 - 182893x5 + 423774x4 - 115408x3 + 333897x2 + 960577x + 385867 \( 23^{4}\cdot 41^{14} \) $C_2^2 : C_8$ (as 16T24) $[6]$ (GRH)
16.0.14816104373013890157094140625.2 x16 - 6x15 - 8x14 + 160x13 - 441x12 - 134x11 + 4342x10 - 16579x9 + 43548x8 - 89962x7 + 151269x6 - 210738x5 + 244446x4 - 223845x3 + 154504x2 - 70325x + 18419 \( 5^{8}\cdot 41^{14} \) $C_2^2 : C_8$ (as 16T24) $[3, 3, 6]$ (GRH)
16.0.35028437828275611780530528881.3 x16 - 5x15 + 5x14 + 28x13 + 30x12 - 611x11 + 468x10 + 5496x9 - 10545x8 - 31116x7 + 150416x6 - 219357x5 + 89578x4 - 68160x3 + 648725x2 - 1271875x + 855625 \( 31^{4}\cdot 41^{14} \) $C_2^2 : C_8$ (as 16T24) $[8]$ (GRH)
16.0.71085478368850138600216861921.4 x16 - 2x15 + 38x14 - 72x13 + 670x12 - 480x11 + 7039x10 + 3597x9 + 43027x8 + 81298x7 + 254629x6 + 796163x5 + 1565210x4 + 2128832x3 + 2066545x2 + 1302809x + 546239 \( 37^{4}\cdot 41^{14} \) $C_2^2 : C_8$ (as 16T24) $[24]$ (GRH)
16.0.129672479863204507348386828961.1 x16 - 6x15 + 118x13 - 454x12 - 450x11 + 9075x10 - 36523x9 + 80287x8 - 79156x7 - 58067x6 + 350155x5 - 455538x4 + 197266x3 + 619715x2 - 823177x + 636931 \( 41^{14}\cdot 43^{4} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.0.459602138371809190522512417121.1 x16 - 2x15 - 2x14 - 84x13 - 146x12 + 108x11 + 3511x10 + 8153x9 + 24141x8 - 27890x7 + 107105x6 + 473927x5 + 371280x4 + 129812x3 + 81805x2 - 11559x + 12113 \( 41^{14}\cdot 59^{4} \) $C_2^2 : C_8$ (as 16T24) $[2]$ (GRH)
16.0.525162048993676835600871662401.1 x16 - 6x15 - 8x14 + 160x13 - 400x12 - 1282x11 + 11189x10 - 35603x9 + 58718x8 - 16818x7 - 136633x6 + 401269x5 - 424715x4 + 202432x3 + 912840x2 - 1240424x + 1871824 \( 41^{14}\cdot 61^{4} \) $C_2^2 : C_8$ (as 16T24) $[41]$ (GRH)
16.8.528797384743092167726859302289.1 x16 - 7x15 - 13x14 + 109x13 + 293x12 - 688x11 - 4351x10 + 211x9 + 25804x8 + 39690x7 - 63521x6 - 216222x5 - 40253x4 + 354256x3 + 302724x2 - 65579x - 102043 \( 3^{4}\cdot 97^{14} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.8.800737337114777368288115578449.1 x16 - 3x15 - 47x14 + 80x13 + 1033x12 - 1001x11 - 15701x10 - 212x9 + 181451x8 + 353057x7 - 570157x6 - 3438310x5 - 6547056x4 - 7290744x3 - 5355776x2 - 2001824x + 25408 \( 3^{8}\cdot 73^{14} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
16.0.1077123334824966013513439398801.1 x16 - 5x15 + 20x14 - 53x13 + 425x12 - 1761x11 + 8234x10 - 26439x9 + 85127x8 - 227294x7 + 576600x6 - 1117344x5 + 2015984x4 - 2860288x3 + 4678656x2 - 5948416x + 5607424 \( 41^{14}\cdot 73^{4} \) $C_2^2 : C_8$ (as 16T24) $[33]$ (GRH)
16.0.1222756866650275883340118650625.1 x16 - 2x15 + 32x14 - 26x13 + 554x12 - 36x11 + 4361x10 + 4546x9 + 28477x8 + 54742x7 + 126202x6 + 190602x5 + 367768x4 + 305600x3 + 365021x2 + 304734x + 229888 \( 5^{4}\cdot 89^{14} \) $C_2^2 : C_8$ (as 16T24) $[7345]$ (GRH)
16.0.1800057439498232157527332231681.1 x16 - 6x15 + 40x14 - 92x13 + 116x12 - 70x11 + 545x10 - 13523x9 + 54152x8 - 97086x7 + 176183x6 - 418415x5 + 678907x4 - 641024x3 + 340920x2 - 82952x + 16336 \( 41^{14}\cdot 83^{4} \) $C_2^2 : C_8$ (as 16T24) $[2]$ (GRH)
16.0.1968033759133442969054057291329.4 x16 - 6x15 + 12x14 + 12x13 + 19x12 - 318x11 + 2100x10 - 5213x9 + 14622x8 - 4630x7 + 927x6 + 121358x5 + 476036x4 + 432383x3 + 2307490x2 + 427097x + 1543193 \( 17^{14}\cdot 43^{8} \) $C_2^2 : C_8$ (as 16T24) $[2, 178]$ (GRH)
16.0.3922880935919264967742950184849.7 x16 - 2x15 + 12x14 - 22x13 + 865x12 + 68x11 + 5879x10 + 75224x9 - 163742x8 + 335966x7 + 4327649x6 - 4700058x5 - 33955384x4 - 22705032x3 + 79867792x2 + 138718144x + 66232832 \( 13^{12}\cdot 17^{14} \) $C_2^2 : C_8$ (as 16T24) $[2, 12, 408]$ (GRH)
16.0.3922880935919264967742950184849.8 x16 - 2x15 + 12x14 - 22x13 + 423x12 - 4352x11 - 7823x10 + 38096x9 + 236931x8 + 455748x7 + 1365365x6 - 4398172x5 + 3318918x4 - 18237738x3 + 58180841x2 - 184744970x + 202696796 \( 13^{12}\cdot 17^{14} \) $C_2^2 : C_8$ (as 16T24) $[2, 4, 8]$ (GRH)
16.0.4009292695690170390860412175969.16 x16 - 2x15 + 20x14 - 70x13 + 359x12 - 902x11 + 2062x10 + 7163x9 - 33118x8 + 13874x7 + 167137x6 - 248076x5 - 123004x4 + 2291467x3 - 3802366x2 - 9958815x + 21067657 \( 17^{14}\cdot 47^{8} \) $C_2^2 : C_8$ (as 16T24) $[2, 2, 2, 82]$ (GRH)
16.0.9260065233133681348183837890625.6 x16 - x15 + 46x14 - 310x13 + 1475x12 - 10599x11 + 52755x10 - 194525x9 + 964626x8 - 3202300x7 + 6850515x6 - 19834849x5 + 48482750x4 - 22659160x3 + 18758616x2 - 58027856x + 68181376 \( 5^{12}\cdot 41^{14} \) $C_2^2 : C_8$ (as 16T24) $[2, 300]$ (GRH)
16.0.9260065233133681348183837890625.7 x16 - x15 + 46x14 - 105x13 + 1270x12 - 4449x11 + 16060x10 - 63735x9 + 211046x8 - 1759715x7 + 8594450x6 - 26273899x5 + 43579355x4 - 18892900x3 - 620444x2 - 73814496x + 155285056 \( 5^{12}\cdot 41^{14} \) $C_2^2 : C_8$ (as 16T24) $[2, 300]$ (GRH)
16.16.10483151353726139536553735554369.2 x16 - 6x15 - 54x14 + 316x13 + 1129x12 - 5904x11 - 12476x10 + 49215x9 + 76870x8 - 187170x7 - 241469x6 + 304908x5 + 315322x4 - 220035x3 - 165824x2 + 54341x + 30259 \( 17^{14}\cdot 53^{8} \) $C_2^2 : C_8$ (as 16T24) $[2]$ (GRH)
16.0.15905028274673815182544659396289.1 x16 - 3x15 + 15x14 - 101x13 + 163x12 + 173x11 + 164x10 - 7010x9 + 61895x8 - 434233x7 + 2003583x6 - 5981569x5 + 11891245x4 - 15825337x3 + 13679510x2 - 6972784x + 1600672 \( 19^{4}\cdot 73^{14} \) $C_2^2 : C_8$ (as 16T24) $[89]$ (GRH)
16.0.24722989956581301387479701814209.3 x16 - 6x15 + 30x14 - 108x13 + 411x12 - 1060x11 + 796x10 + 5577x9 + 18564x8 - 64314x7 - 50075x6 - 50668x5 + 836728x4 + 2574663x3 + 5459082x2 + 3924023x + 4936153 \( 17^{14}\cdot 59^{8} \) $C_2^2 : C_8$ (as 16T24) $[2, 626]$ (GRH)
16.0.28643813255402702732772283462081.2 x16 - 4x15 - 21x14 + 2x13 + 879x12 + 716x11 - 5620x10 - 41278x9 + 22417x8 + 112522x7 + 1007165x6 - 743188x5 - 438001x4 - 10586538x3 + 60329180x2 - 91102296x + 50324192 \( 11^{4}\cdot 89^{14} \) $C_2^2 : C_8$ (as 16T24) $[226]$ (GRH)
16.0.34153198773896725121035596949969.1 x16 - 3x15 - 44x14 + 209x13 + 1029x12 - 6688x11 - 4322x10 + 83350x9 - 98968x8 - 306130x7 + 776806x6 - 425376x5 + 39313x4 - 397603x3 + 294148x2 - 10639x + 137861 \( 23^{4}\cdot 73^{14} \) $C_2^2 : C_8$ (as 16T24) $[89]$ (GRH)
16.0.42832588164190465585875603485409.4 x16 - 5x15 - 3x14 + 139x13 - 825x12 + 2322x11 + 1617x10 - 46309x9 + 182354x8 - 452696x7 + 1527356x6 - 2049201x5 - 1662839x4 + 8808112x3 - 11939112x2 - 7607472x + 27618832 \( 3^{8}\cdot 97^{14} \) $C_2^2 : C_8$ (as 16T24) $[2, 34]$ (GRH)
16.0.68372792983010839504523425519489.14 x16 - 6x15 - 30x14 + 224x13 + 357x12 - 3436x11 + 1144x10 + 10255x9 + 19212x8 - 8134x7 - 227593x6 + 274328x5 + 2443546x4 + 2922833x3 + 5300006x2 - 2133395x + 5248717 \( 17^{14}\cdot 67^{8} \) $C_2^2 : C_8$ (as 16T24) $[2, 2, 2, 12, 12]$ (GRH)
16.8.95581759383007560835666012898929.1 x16 - x15 - 22x14 - 104x13 - 55x12 + 6168x11 - 19527x10 - 54968x9 + 507772x8 - 931559x7 - 1648945x6 + 9020278x5 - 12369897x4 + 2459585x3 + 6802389x2 - 2647585x - 364019 \( 11^{4}\cdot 97^{14} \) $C_2^2 : C_8$ (as 16T24) Trivial (GRH)
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