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Label Polynomial Discriminant Galois group Class group
16.0.102400000000000000.2 x16 - 2x15 + 2x14 + 4x13 - 19x12 + 38x11 - 30x10 - 28x9 + 114x8 - 154x7 + 120x6 - 54x5 + 16x4 - 8x3 + 8x2 - 4x + 1 \( 2^{24}\cdot 5^{14} \) $C_2^3.C_4$ (as 16T36) Trivial
16.0.1308342779541015625.1 x16 - 5x15 + 8x14 - 10x13 + 28x12 - 25x11 + 36x10 - 50x9 + 35x8 - 50x7 + 36x6 - 25x5 + 28x4 - 10x3 + 8x2 - 5x + 1 \( 5^{14}\cdot 11^{8} \) $C_2^3.C_4$ (as 16T36) $[2]$
16.0.18446744073709551616.10 x16 + 12x8 + 4 \( 2^{64} \) $C_2^3.C_4$ (as 16T36) Trivial
16.0.25833126466573035129.1 x16 - 4x15 + 9x14 - 14x13 + 15x12 - 6x11 - 17x10 + 40x9 - 20x8 - 42x7 + 107x6 - 59x5 + 6x4 + 22x3 + 22x2 + 12x + 9 \( 3^{8}\cdot 13^{14} \) $C_2^3.C_4$ (as 16T36) $[2]$
16.0.26214400000000000000.6 x16 + 10x8 + 25x4 + 25 \( 2^{32}\cdot 5^{14} \) $C_2^3.C_4$ (as 16T36) Trivial
16.0.5205633773443603515625.1 x16 + 8x14 - 2x12 - 84x10 + 275x8 + 2471x6 + 8088x4 + 17303x2 + 14641 \( 5^{14}\cdot 31^{8} \) $C_2^3.C_4$ (as 16T36) $[6]$ (GRH)
16.0.3941366767857427978515625.1 x16 + 25x14 + 475x12 + 4495x10 + 21060x8 - 8825x6 + 9375x4 - 775x2 + 25 \( 5^{14}\cdot 71^{8} \) $C_2^3.C_4$ (as 16T36) $[14]$ (GRH)
16.8.137350965859713069141239809.1 x16 - 4x15 + x14 + 14x13 - 124x12 - 44x11 + 486x10 + 864x9 + 334x8 - 3096x7 - 2096x6 + 2780x5 + 3369x4 + 2116x3 - 6815x2 + 2522x - 52 \( 13^{8}\cdot 17^{14} \) $C_2^3.C_4$ (as 16T36) $[2]$ (GRH)
16.0.1622628503115275885009765625.1 x16 - 3x14 + 43x12 - 156x10 + 2595x8 + 20244x6 - 2597x4 + 170097x2 + 923521 \( 3^{12}\cdot 5^{14}\cdot 29^{8} \) $C_2^3.C_4$ (as 16T36) $[2, 2, 4, 4]$ (GRH)
16.16.1622628503115275885009765625.1 x16 - 52x14 + 778x12 - 4009x10 + 6565x8 - 4009x6 + 778x4 - 52x2 + 1 \( 3^{12}\cdot 5^{14}\cdot 29^{8} \) $C_2^3.C_4$ (as 16T36) $[2]$ (GRH)
16.0.1715363997287681422874732281.1 x16 - 4x15 + 11x14 - 21x13 + 36x12 + 25x11 - 79x10 + 700x9 - 1641x8 + 2467x7 - 665x6 - 5728x5 + 18236x4 - 15783x3 + 19427x2 - 3780x + 4025 \( 7^{8}\cdot 29^{14} \) $C_2^3.C_4$ (as 16T36) $[2]$ (GRH)
16.0.1739116855398400000000000000.1 x16 + 10x14 + 155x12 - 120x10 - 215x8 - 24500x6 + 142175x4 - 264950x2 + 429025 \( 2^{24}\cdot 5^{14}\cdot 19^{8} \) $C_2^3.C_4$ (as 16T36) $[2, 2, 2, 4]$ (GRH)
16.16.1739116855398400000000000000.1 x16 - 50x14 + 905x12 - 7380x10 + 29210x8 - 57850x6 + 55300x4 - 22800x2 + 3025 \( 2^{24}\cdot 5^{14}\cdot 19^{8} \) $C_2^3.C_4$ (as 16T36) Trivial (GRH)
16.8.1739116855398400000000000000.1 x16 - 30x14 + 125x12 - 60x10 + 8510x8 - 41150x6 + 77600x4 - 66400x2 + 21025 \( 2^{24}\cdot 5^{14}\cdot 19^{8} \) $C_2^3.C_4$ (as 16T36) $[2, 2]$ (GRH)
16.0.51952739971213319841055446889.1 x16 - 6x15 + 54x14 - 162x13 + 800x12 - 1524x11 + 5317x10 - 5127x9 + 20353x8 - 1644x7 + 49532x6 + 15954x5 + 43350x4 - 5499x3 + 2977x2 - 438x + 963 \( 7^{8}\cdot 37^{14} \) $C_2^3.C_4$ (as 16T36) $[2]$ (GRH)
16.0.4009292695690170390860412175969.1 x16 - 2x14 + 499x12 - 3216x10 + 64721x8 - 216560x6 + 1770675x4 + 478x2 + 1 \( 17^{14}\cdot 47^{8} \) $C_2^3.C_4$ (as 16T36) $[2, 4, 160]$ (GRH)
16.0.5973428402662444840532734135129.1 x16 + 52x14 - 130x12 - 7683x10 + 26429x8 + 166803x6 + 1114217x4 + 671437x2 + 48841 \( 13^{14}\cdot 79^{8} \) $C_2^3.C_4$ (as 16T36) $[10]$ (GRH)
16.0.23302078379314905029568288023161.1 x16 - 6x15 + 52x14 - 194x13 + 1215x12 - 3600x11 + 11703x10 - 54366x9 + 49958x8 - 372244x7 + 594500x6 - 41789x5 + 5779990x4 + 5086513x3 + 14900229x2 + 6921894x + 9032369 \( 23^{8}\cdot 29^{14} \) $C_2^3.C_4$ (as 16T36) $[6]$ (GRH)
16.0.68372792983010839504523425519489.15 x16 - 26x14 + 793x12 + 14523x10 + 30602x8 + 76947x6 + 5593912x4 + 11927344x2 + 7311616 \( 17^{14}\cdot 67^{8} \) $C_2^3.C_4$ (as 16T36) $[2, 2, 2, 4, 80]$ (GRH)
16.8.662834267162184237456650608633249.3 x16 - 2x14 - 113x12 + 7188x10 - 25787x8 - 3268060x6 + 34575031x4 - 113047482x2 + 104060401 \( 17^{14}\cdot 89^{8} \) $C_2^3.C_4$ (as 16T36) $[2]$ (GRH)
16.0.2970275152580737243393920061992241.29 x16 - 6x15 + 68x14 - 444x13 + 1922x12 - 9518x11 + 46905x10 + 40593x9 + 619392x8 + 556314x7 + 7635373x6 + 13465847x5 + 31633951x4 + 112760966x3 + 149722596x2 + 125046840x + 534849200 \( 23^{8}\cdot 41^{14} \) $C_2^3.C_4$ (as 16T36) $[2, 4, 48]$ (GRH)
16.0.32349497931606921267167334562710001.14 x16 + 36x14 + 198x12 + 1618x10 + 142751x8 - 1171590x6 + 18391859x4 + 45558669x2 + 198274561 \( 31^{8}\cdot 41^{14} \) $C_2^3.C_4$ (as 16T36) $[2, 2, 120]$ (GRH)
16.0.43690605516556003276152578767301401.1 x16 - 4x15 - 36x14 + 274x13 - 16x12 - 6092x11 + 67960x10 - 468046x9 + 2156282x8 - 6421886x7 + 10535912x6 - 5431518x5 - 7791049x4 - 1515286x3 + 45995976x2 - 27672790x + 15280961 \( 29^{14}\cdot 59^{8} \) $C_2^3.C_4$ (as 16T36) $[42]$ (GRH)
16.0.60283401692879138764114019775390625.5 x16 - 5x15 + 37x14 - 30x13 + 518x12 + 4690x11 - 3876x10 + 111440x9 + 195560x8 + 389090x7 + 4876594x6 + 5719110x5 + 26373403x4 + 92075725x3 + 174226747x2 + 228573380x + 913931536 \( 5^{14}\cdot 61^{14} \) $C_2^3.C_4$ (as 16T36) $[2, 110, 220]$ (GRH)
16.8.133225631225242544609121034154723281.3 x16 + 84x14 + 2636x12 - 26685x10 - 1228640x8 - 3008x6 + 118782528x4 - 258515968x2 + 40960000 \( 37^{8}\cdot 41^{14} \) $C_2^3.C_4$ (as 16T36) $[2]$ (GRH)
16.0.214588774932298492495221177464492329.1 x16 - 74x14 + 777x12 + 74037x10 + 1059384x8 + 9339318x6 + 55276113x4 + 60835622x2 + 6901129 \( 37^{14}\cdot 47^{8} \) $C_2^3.C_4$ (as 16T36) $[5, 5, 10]$ (GRH)
16.0.419374069872350970710519002168327921.21 x16 + 50x14 + 1917x12 - 5630x10 - 240908x8 - 707030x6 + 57802141x4 - 1883834854x2 + 21028770169 \( 11^{8}\cdot 89^{14} \) $C_2^3.C_4$ (as 16T36) $[2, 2, 8]$ (GRH)
16.0.670188096064724500217499812793861721.1 x16 - 4x15 + 49x14 - 154x13 + 848x12 - 1754x11 + 6979x10 + 35819x9 + 284435x8 - 556257x7 + 7200689x6 - 31438382x5 - 11440997x4 + 76161103x3 + 106278189x2 - 64246320x + 31088575 \( 29^{14}\cdot 83^{8} \) $C_2^3.C_4$ (as 16T36) $[30]$ (GRH)
16.16.1171598758708107367475386427203165009.2 x16 - 5x15 - 146x14 + 723x13 + 7442x12 - 35545x11 - 159987x10 + 700390x9 + 1461579x8 - 5189481x7 - 6310742x6 + 14524949x5 + 10383990x4 - 12357337x3 - 1117197x2 + 2153042x - 297452 \( 13^{14}\cdot 29^{14} \) $C_2^3.C_4$ (as 16T36) $[4]$ (GRH)
16.0.5569165027023164184679061585237737681.25 x16 - 32x14 + 366x12 - 35236x10 + 388601x8 - 4143076x6 + 647985536x4 - 4660210752x2 + 16429086976 \( 41^{14}\cdot 59^{8} \) $C_2^3.C_4$ (as 16T36) $[12, 12, 12]$ (GRH)
16.0.5819570405692025964063507186598868329.1 x16 + 74x14 - 555x12 - 29785x10 + 1970546x8 + 56172808x6 + 421389152x4 + 1308165747x2 + 165649 \( 37^{14}\cdot 71^{8} \) $C_2^3.C_4$ (as 16T36) $[42]$ (GRH)
16.0.20297795652530455918821504664845058249.1 x16 + 60x14 + 58x12 - 12672x10 - 42617x8 + 535839x6 + 3647932x4 + 7455375x2 + 4879681 \( 37^{14}\cdot 83^{8} \) $C_2^3.C_4$ (as 16T36) $[114]$ (GRH)
16.0.32858296023668216937367870328998288009.1 x16 + 424x12 + 130963x10 + 1892100x8 + 7036545x6 + 5578674x4 + 1806187x2 + 339889 \( 47^{8}\cdot 53^{14} \) $C_2^3.C_4$ (as 16T36) $[30]$ (GRH)
16.0.85427703782145180664454699324763267601.18 x16 + 144x14 + 7268x12 + 171366x10 + 3528596x8 + 28345324x6 + 207136809x4 - 3524738708x2 + 16200198400 \( 41^{14}\cdot 83^{8} \) $C_2^3.C_4$ (as 16T36) $[4, 4, 444]$ (GRH)
16.0.203962831252212947906041415777587890625.3 x16 - 5x15 + 58x14 - 45x13 + 4163x12 - 2040x11 + 57631x10 + 894085x9 + 1684350x8 + 16307885x7 + 68749501x6 + 369834880x5 + 1907077408x4 + 5468731520x3 + 13905624448x2 + 12151056320x + 9814341056 \( 5^{14}\cdot 109^{14} \) $C_2^3.C_4$ (as 16T36) $[2, 366, 732]$ (GRH)
16.0.235180090762073460609416758748830068601.1 x16 + 54x14 - 4199x12 - 70442x10 + 2952056x8 + 71800669x6 + 642125261x4 + 2526369250x2 + 1426950625 \( 47^{8}\cdot 61^{14} \) $C_2^3.C_4$ (as 16T36) $[30]$ (GRH)
16.8.428680604268109875973804253861404748689.2 x16 + 18x14 - 8235x12 - 486190x10 + 4768268x8 - 12030478x6 + 14819405x4 - 9404606x2 + 1585081 \( 37^{8}\cdot 73^{14} \) $C_2^3.C_4$ (as 16T36) $[2]$ (GRH)
16.8.974520311694399191366085457215090805489.1 x16 - 2x15 - 144x14 + 788x13 + 2366x12 - 20048x11 - 50700x10 + 41572x9 + 8653049x8 - 46338526x7 - 98745148x6 + 1035976504x5 - 1437895264x4 + 12970627968x3 - 28941778432x2 + 21852549120x - 5383323648 \( 41^{8}\cdot 73^{14} \) $C_2^3.C_4$ (as 16T36) $[6]$ (GRH)
16.16.16225116300501260546649351778570556640625.3 x16 - 5x15 - 297x14 + 1060x13 + 35573x12 - 76475x11 - 2207799x10 + 1841560x9 + 75196675x8 + 21744135x7 - 1351490139x6 - 1541936250x5 + 10995877008x4 + 17851139640x3 - 27965699712x2 - 36379432800x + 35867779776 \( 5^{14}\cdot 149^{14} \) $C_2^3.C_4$ (as 16T36) $[4]$ (GRH)
16.0.22245513193027862267173879060120840909081.1 x16 + 194x14 + 3183x12 - 109236x10 - 2269931x8 - 11265729x6 + 426352493x4 + 8629333501x2 + 41151773881 \( 61^{14}\cdot 83^{8} \) $C_2^3.C_4$ (as 16T36) $[3, 18]$ (GRH)
16.0.76304811594430773788792663582199493515169.12 x16 - 6x15 + 18x14 + 686x13 - 5921x12 + 7562x11 + 434923x10 - 5247324x9 + 37570315x8 - 186139766x7 + 764759651x6 - 2968080528x5 + 10962296202x4 - 31677700420x3 + 58389670393x2 - 58470158494x + 23997286772 \( 43^{8}\cdot 97^{14} \) $C_2^3.C_4$ (as 16T36) $[4, 4, 2720]$ (GRH)
16.0.78810998787104838676665578559275236411249.14 x16 + 72x14 + 1392x12 - 108753x10 - 3371040x8 + 74158208x6 + 2825382976x4 + 24471001088x2 + 259398713344 \( 71^{8}\cdot 73^{14} \) $C_2^3.C_4$ (as 16T36) $[8, 40, 280]$ (GRH)
16.0.155448717458114694507131268341456449334209.6 x16 - 122x14 + 7991x12 - 330492x10 + 11771701x8 - 185395116x6 + 1342090511x4 - 1443329186x2 + 8882874001 \( 47^{8}\cdot 97^{14} \) $C_2^3.C_4$ (as 16T36) $[4, 16, 720]$ (GRH)
16.0.794435265691380646985793918947192534284081.12 x16 - 6x15 - 16x14 - 530x13 - 1072x12 + 16860x11 + 1126568x10 + 8435040x9 + 74703292x8 + 340919290x7 + 1738428696x6 + 2031622908x5 + 15687125679x4 - 34355491586x3 + 116964971452x2 - 231648299712x + 240631555264 \( 67^{8}\cdot 89^{14} \) $C_2^3.C_4$ (as 16T36) $[2, 8, 48]$ (GRH)
16.8.1251534885791204872804259841565797642149089.5 x16 + 18x14 - 2259x12 - 134374x10 - 11466300x8 - 309207550x6 + 7300822245x4 - 35054114934x2 + 22898045041 \( 61^{8}\cdot 97^{14} \) $C_2^3.C_4$ (as 16T36) $[4, 8]$ (GRH)
16.0.410614370925299326221754150224933859206386689.5 x16 - 5x15 + 146x14 - 1265x13 + 2855x12 + 46132x11 - 283221x10 + 11221001x9 + 76707714x8 - 1902825239x7 + 20717625413x6 - 188022386120x5 + 1304389721708x4 - 8627965710464x3 + 49990424556304x2 - 169299154243200x + 231877632771072 \( 29^{14}\cdot 53^{14} \) $C_2^3.C_4$ (as 16T36) $[2, 3118, 6236]$ (GRH)
16.0.12436160298838170417198712919084997051554477041.5 x16 - 7x15 + 204x14 + 361x13 + 20832x12 + 258957x11 + 5855078x10 + 19722151x9 + 872048656x8 + 3574509683x7 + 58434692944x6 + 125714438271x5 + 3345800137369x4 + 5667181894124x3 + 5952716972260x2 + 173922414925936x + 367571482355344 \( 37^{14}\cdot 53^{14} \) $C_2^3.C_4$ (as 16T36) $[2, 4374, 8748]$ (GRH)
16.16.21767174858780577201904716993499183222663790161.1 x16 - 5x15 - 826x14 + 3919x13 + 163389x12 - 1327426x11 - 5307893x10 + 66746609x9 + 35529210x8 - 1329168051x7 + 432751103x6 + 12242227394x5 - 4542410360x4 - 48328678280x3 + 7339560560x2 + 60542675904x + 12486085888 \( 13^{14}\cdot 157^{14} \) $C_2^3.C_4$ (as 16T36) $[4]$ (GRH)
16.16.103591320678630890586725126366901805607295040854289.2 x16 - 5x15 - 1520x14 + 16523x13 + 655405x12 - 10799728x11 - 58356778x10 + 1864600258x9 - 4621996848x8 - 98875841022x7 + 638807569630x6 + 400115166704x5 - 14975139902151x4 + 55925689327219x3 - 94914904681696x2 + 78330056885859x - 25448748825979 \( 37^{14}\cdot 101^{14} \) $C_2^3.C_4$ (as 16T36) $[20]$ (GRH)
16.0.791005910030165719912925444172568170567213001250881.5 x16 - 5x15 + 404x14 - 7911x13 + 85309x12 - 1712558x11 + 42103059x10 - 763954787x9 + 20065856528x8 - 378903900861x7 + 3069805875379x6 - 16152690635942x5 + 158678336760608x4 - 1395404638505784x3 + 4213301148768960x2 + 9966977583135840x + 414401005855515456 \( 29^{14}\cdot 149^{14} \) $C_2^3.C_4$ (as 16T36) $[2, 24222, 242220]$ (GRH)

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