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Label Polynomial Discriminant Galois group Class group
16.0.41943040000000000.1 x16 - 8x15 + 28x14 - 56x13 + 72x12 - 68x11 + 70x10 - 108x9 + 155x8 - 148x7 + 78x6 - 4x5 - 6x4 - 20x3 + 22x2 - 8x + 1 \( 2^{32}\cdot 5^{10} \) $C_4\wr C_2$ (as 16T42) Trivial
16.0.73263654766724409.1 x16 - 3x15 + 3x14 - 6x13 + 13x12 + 6x11 - 30x10 - 9x9 + 51x8 - 9x7 - 30x6 + 6x5 + 13x4 - 6x3 + 3x2 - 3x + 1 \( 3^{12}\cdot 13^{10} \) $C_4\wr C_2$ (as 16T42) Trivial
16.0.99038527051792384.1 x16 - 2x15 + x14 + 4x13 - 11x12 + 24x11 - 23x10 - 12x9 + 86x8 - 176x7 + 233x6 - 228x5 + 167x4 - 90x3 + 34x2 - 8x + 1 \( 2^{34}\cdot 7^{8} \) $C_4\wr C_2$ (as 16T42) Trivial
16.0.132120176259825664.1 x16 - 2x15 + 4x14 - 2x13 + 8x12 - 24x11 + 50x10 - 54x9 + 19x8 + 16x7 - 24x6 + 6x5 + 9x4 - 12x3 + 7x2 - 2x + 1 \( 2^{16}\cdot 17^{10} \) $C_4\wr C_2$ (as 16T42) Trivial
16.0.169561224228515625.1 x16 - 3x15 + 5x14 - 7x13 + x12 + 11x11 - 24x10 + 35x9 - 12x8 - 10x7 + 14x6 - 14x5 + 32x4 - 36x3 + 22x2 - 7x + 1 \( 3^{4}\cdot 5^{10}\cdot 11^{8} \) $C_4\wr C_2$ (as 16T42) Trivial
16.0.169561224228515625.2 x16 - 4x15 + 9x14 - 10x13 + 5x12 - 6x11 + 5x10 + 19x9 - 33x8 + 6x7 + 14x6 - 9x5 + 21x4 - 31x3 + 18x2 - 5x + 1 \( 3^{4}\cdot 5^{10}\cdot 11^{8} \) $C_4\wr C_2$ (as 16T42) Trivial
16.0.288230376151711744.2 x16 - 8x14 + 24x12 - 40x10 + 54x8 - 40x6 + 24x4 - 8x2 + 1 \( 2^{58} \) $C_4\wr C_2$ (as 16T42) Trivial
16.0.671088640000000000.2 x16 + 6x12 + 39x8 + 30x4 + 25 \( 2^{36}\cdot 5^{10} \) $C_4\wr C_2$ (as 16T42) Trivial
16.0.1584616432828678144.5 x16 - 2x14 + 9x12 - 14x10 - 9x8 + 18x4 + 16x2 + 4 \( 2^{38}\cdot 7^{8} \) $C_4\wr C_2$ (as 16T42) Trivial
16.8.4885218876572265625.1 x16 - 2x15 - 3x14 + 3x13 + x12 + 5x11 - 31x10 + 6x9 + 89x8 + 6x7 - 31x6 + 5x5 + x4 + 3x3 - 3x2 - 2x + 1 \( 5^{10}\cdot 29^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.18446744073709551616.5 x16 - 4x12 + 8x8 - 4x4 + 1 \( 2^{64} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.26214400000000000000.7 x16 - 8x15 + 32x14 - 84x13 + 156x12 - 208x11 + 200x10 - 112x9 - 36x8 + 144x7 - 160x6 + 104x5 + 16x4 - 112x3 + 128x2 - 96x + 36 \( 2^{32}\cdot 5^{14} \) $C_4\wr C_2$ (as 16T42) $[2]$
16.0.30648714616416015625.1 x16 - 2x15 - 3x13 + 23x12 + 5x11 - 26x10 - 67x9 - 59x8 - 7x7 + 123x6 + 210x5 + 236x4 + 174x3 + 104x2 + 30x + 9 \( 5^{10}\cdot 11^{12} \) $C_4\wr C_2$ (as 16T42) Trivial
16.8.164338763007891015625.1 x16 - 3x15 - 9x14 + 14x13 + 49x12 - 22x11 - 148x10 + x9 + 224x8 + 32x7 - 162x6 + 24x5 + 134x4 + 28x3 - 21x2 - 4x + 1 \( 5^{8}\cdot 29^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.419430400000000000000.2 x16 - 10x12 + 95x8 - 250x4 + 625 \( 2^{36}\cdot 5^{14} \) $C_4\wr C_2$ (as 16T42) $[2]$
16.0.2092483243792415845449.1 x16 - 6x15 + 14x14 - 12x13 - 8x12 - 3x11 + 29x10 - 36x9 + 298x8 - 36x7 + 29x6 - 3x5 - 8x4 - 12x3 + 14x2 - 6x + 1 \( 3^{12}\cdot 13^{14} \) $C_4\wr C_2$ (as 16T42) $[4]$
16.0.2555478887462114090409.4 x16 - x15 + 15x14 - 31x13 + 124x12 - 279x11 + 693x10 - 1296x9 + 2397x8 - 3348x7 + 4419x6 - 4131x5 + 3186x4 - 324x3 - 972x2 - 729x + 729 \( 3^{12}\cdot 37^{10} \) $C_4\wr C_2$ (as 16T42) $[4]$
16.16.11729410522650009765625.1 x16 - x15 - 24x14 + 18x13 + 216x12 - 111x11 - 933x10 + 284x9 + 2065x8 - 233x7 - 2289x6 - 145x5 + 1118x4 + 225x3 - 154x2 - 37x - 1 \( 5^{10}\cdot 7^{4}\cdot 29^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.19155446635260009765625.1 x16 - 4x15 + 7x14 - 7x13 - 10x12 + 7x11 + 182x10 - 411x9 + 346x8 - 235x7 - 390x6 + 585x5 + 365x4 - 225x3 + 1555x2 - 110x + 20 \( 5^{14}\cdot 11^{12} \) $C_4\wr C_2$ (as 16T42) $[4]$ (GRH)
16.0.21614403506505478515625.3 x16 - 2x15 - 7x13 + 55x12 - 233x11 + 674x10 - 1375x9 + 2279x8 - 3141x7 + 3627x6 - 3420x5 + 2736x4 - 1756x3 + 832x2 - 224x + 49 \( 5^{10}\cdot 19^{12} \) $C_4\wr C_2$ (as 16T42) $[4]$ (GRH)
16.0.28196723068685041735089.1 x16 - 4x15 + 27x14 - 78x13 + 280x12 - 578x11 + 1404x10 - 2304x9 + 3384x8 - 5082x7 + 5100x6 - 3542x5 + 6427x4 + 36x3 + 2469x2 - 1600x + 268 \( 3^{8}\cdot 73^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.34238759498547069705409.1 x16 - 6x15 + 21x14 - 46x13 + 85x12 - 190x11 + 391x10 - 647x9 + 1451x8 - 3449x7 + 4380x6 - 3738x5 + 3570x4 - 1681x3 + 1212x2 - 195x + 169 \( 17^{10}\cdot 19^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.8.38443250055684384765625.1 x16 - 14x14 + 93x12 - 340x10 + 724x8 - 1261x6 + 1498x4 - 701x2 + 64 \( 5^{10}\cdot 89^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.8.102711726879931884765625.1 x16 - 2x15 - 15x14 + 30x13 + 79x12 - 162x11 - 272x10 + 555x9 + 561x8 - 597x7 - 1582x6 + 2064x5 + 769x4 - 3099x3 + 814x2 + 1246x - 499 \( 5^{12}\cdot 29^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.8.105747725158992197265625.4 x16 - 20x14 + 46x12 + 15x10 - 79x8 + 15x6 + 46x4 - 20x2 + 1 \( 5^{10}\cdot 101^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.16.137179970880320007307264.1 x16 - 8x15 + 2x14 + 98x13 - 75x12 - 508x11 + 251x10 + 1324x9 - 152x8 - 1692x7 - 333x6 + 888x5 + 365x4 - 92x3 - 47x2 + 2x + 1 \( 2^{34}\cdot 41^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.320157704295040000000000.1 x16 + 27x14 + 265x12 + 1179x10 + 2564x8 + 2865x6 + 1615x4 + 400x2 + 25 \( 2^{16}\cdot 5^{10}\cdot 29^{8} \) $C_4\wr C_2$ (as 16T42) $[2, 10]$ (GRH)
16.0.379099670317033992358041.3 x16 - 2x15 - 16x14 + 42x13 + 85x12 - 256x11 + 244x10 + 1253x9 - 1877x8 - 2124x7 + 7286x6 - 1283x5 - 17162x4 + 2622x3 + 16878x2 + 375x + 813 \( 3^{12}\cdot 61^{10} \) $C_4\wr C_2$ (as 16T42) $[4]$ (GRH)
16.0.483823969655762431707489.1 x16 - 2x15 - 18x14 + 18x13 + 163x12 - 172x11 - 552x10 + 1347x9 + 1266x8 - 6786x7 + 2547x6 + 11246x5 - 11672x4 - 9291x3 + 33042x2 - 29141x + 16381 \( 3^{8}\cdot 97^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.1661590760669764013522944.1 x16 + 24x14 + 200x12 + 696x10 + 1046x8 + 696x6 + 200x4 + 24x2 + 1 \( 2^{58}\cdot 7^{8} \) $C_4\wr C_2$ (as 16T42) $[2, 10]$ (GRH)
16.8.3455222492240908603515625.1 x16 - 12x14 - 10x12 + 120x10 + 759x8 + 4199x6 - 16828x4 - 50637x2 + 124609 \( 5^{10}\cdot 29^{12} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.5823129643646193092027401.1 x16 - 2x15 - 10x14 + 42x13 + 122x12 - 708x11 + 749x10 + 2585x9 - 6198x8 + 2352x7 + 10883x6 - 13571x5 + 429x4 + 4438x3 + 1024x2 - 2584x + 848 \( 7^{12}\cdot 29^{10} \) $C_4\wr C_2$ (as 16T42) $[5]$ (GRH)
16.0.7692019372935056259765625.1 x16 - 2x15 - 10x14 + 6x13 + 55x12 + 16x11 + 395x10 - 940x9 - 3716x8 + 7692x7 + 14333x6 - 32172x5 - 24511x4 + 66066x3 + 8379x2 - 64942x + 31769 \( 5^{10}\cdot 31^{12} \) $C_4\wr C_2$ (as 16T42) $[3]$ (GRH)
16.8.8583027023095873875496489.3 x16 - 2x15 - 19x14 + 35x13 + 90x12 - 265x11 - 5x10 + 1444x9 + 1264x8 - 3145x7 - 7994x6 + 493x5 + 2574x4 - 1223x3 + 431x2 + 143x + 121 \( 13^{10}\cdot 53^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.12180359347643040469140625.1 x16 - 2x15 - 13x14 + 20x13 + 117x12 - 202x11 - 299x10 + 768x9 + 431x8 - 3542x7 + 3069x6 + 1512x5 - 2068x4 + 3888x3 + 1008x2 + 8704x + 16384 \( 5^{8}\cdot 89^{10} \) $C_4\wr C_2$ (as 16T42) $[37]$ (GRH)
16.0.23563340466869924558542849.1 x16 - 2x15 + 11x14 - 44x13 + 94x12 - 168x11 + 187x10 + 14x9 - 59x8 + 162x7 - 209x6 - 540x5 + 3602x4 - 6308x3 + 5911x2 - 9958x + 8957 \( 17^{10}\cdot 43^{8} \) $C_4\wr C_2$ (as 16T42) $[3]$ (GRH)
16.8.26428481046229354497662569.4 x16 - 2x15 - 23x14 + 36x13 + 122x12 + 112x11 - 825x10 - 1766x9 + 6976x8 - 2594x7 - 13113x6 + 21674x5 - 14124x4 + 3262x3 + 342x2 - 78x + 13 \( 13^{10}\cdot 61^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.8.27466182620559501230159449.1 x16 - 3x15 - 15x14 - 9x13 + 67x12 + 28x11 + 318x10 - 337x9 - 1061x8 + 899x7 - 457x6 + 1394x5 - 683x4 - 197x3 + 80x2 - 33x + 9 \( 13^{14}\cdot 17^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.8.43149301773875176172265625.4 x16 - 22x14 + 89x12 - 361x10 + 4554x8 - 9692x6 + 33196x4 - 60065x2 + 25 \( 5^{8}\cdot 101^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.48003408671952806969030689.8 x16 - 6x15 + 21x14 - 56x13 + 81x12 - 74x11 + 75x10 + 222x9 - 131x8 + 2056x7 + 336x6 + 3352x5 + 3101x4 + 1602x3 + 5492x2 - 3816x + 16336 \( 17^{10}\cdot 47^{8} \) $C_4\wr C_2$ (as 16T42) $[20]$ (GRH)
16.0.66556997328875790787650649.1 x16 - 18x14 + 192x12 - 252x11 - 135x10 + 987x9 - 2123x8 - 4788x7 + 15615x6 + 14679x5 - 24042x4 - 11592x3 + 25749x2 - 11193x + 1681 \( 7^{12}\cdot 37^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.8.81925410828566900634765625.1 x16 - 6x15 - 2x14 + 38x13 + 36x12 - 136x11 - 915x10 + 5189x9 - 12971x8 + 1763x7 + 85710x6 - 211713x5 + 140331x4 + 193541x3 - 397128x2 + 240872x - 42209 \( 5^{14}\cdot 41^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.8.81925410828566900634765625.2 x16 - 7x14 - 45x13 - 7x12 + 715x11 - 1559x10 + 1450x9 + 1680x8 - 4760x7 + 896x6 + 2230x5 - 1432x4 + 450x3 + 738x2 + 270x + 81 \( 5^{14}\cdot 41^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.8.121616372173473638916015625.1 x16 - 2x15 - 33x14 + 99x13 + 446x12 - 1762x11 - 2240x10 + 13297x9 - 3421x8 - 31124x7 + 29095x6 + 7636x5 - 16064x4 + 3272x3 + 1168x2 - 704x + 256 \( 5^{14}\cdot 109^{8} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.125515156113146867692601089.1 x16 - 6x15 + 13x14 - 58x13 + 287x12 - 646x11 + 1511x10 - 4583x9 + 6745x8 - 4461x7 + 8534x6 - 8942x5 + 6562x4 - 3277x3 + 4714x2 - 235x + 2209 \( 17^{10}\cdot 53^{8} \) $C_4\wr C_2$ (as 16T42) $[5]$ (GRH)
16.8.142661082295126092995678329.4 x16 - 4x15 - 27x14 + 124x13 + 150x12 - 1002x11 - 284x10 + 3913x9 - 973x8 - 6413x7 + 4219x6 + 2351x5 - 4826x4 + 1377x3 + 1890x2 - 184x + 211 \( 13^{8}\cdot 53^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.296009266610568616126240129.1 x16 - 8x15 + 24x14 - 28x13 - 30x12 + 180x11 - 426x10 + 766x9 - 623x8 - 696x7 + 2946x6 - 4546x5 + 6157x4 - 6406x3 + 3509x2 - 820x + 1787 \( 17^{10}\cdot 59^{8} \) $C_4\wr C_2$ (as 16T42) $[3]$ (GRH)
16.8.581895727651002533052085321.4 x16 - 10x14 + 109x12 - 1429x10 + 9162x8 - 26388x6 + 29604x4 - 4329x2 + 169 \( 13^{8}\cdot 61^{10} \) $C_4\wr C_2$ (as 16T42) Trivial (GRH)
16.0.818629961123679547712831809.2 x16 - 8x15 + 32x14 - 84x13 + 146x12 - 148x11 - 126x10 + 938x9 - 2071x8 + 2744x7 - 1370x6 - 1710x5 + 8085x4 - 11910x3 + 8237x2 - 2756x + 1283 \( 17^{10}\cdot 67^{8} \) $C_4\wr C_2$ (as 16T42) $[20]$ (GRH)
16.0.1051141675669222288577809681.12 x16 + 2x14 - 55x12 + 177x10 + 3274x8 - 17469x6 + 49627x4 - 50607x2 + 431649 \( 23^{8}\cdot 41^{10} \) $C_4\wr C_2$ (as 16T42) $[12]$ (GRH)

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