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Results (1-50 of 307 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
16.0.538...000.1 $x^{16} + 692 x^{14} + 195021 x^{12} + 29476446 x^{10} + 2631730033 x^{8} + 142943828127 x^{6} + 4635153016019 x^{4} + 82392759879901 x^{2} + 617051226286141$ $2^{16}\cdot 5^{8}\cdot 101^{8}\cdot 181^{5}$ $C_8^2:D_4$ (as 16T1022) $[2, 2, 2, 2, 2, 5542900]$ $6824.94222592$
16.0.538...000.2 $x^{16} + 905 x^{14} + 292559 x^{12} + 46835215 x^{10} + 4188988837 x^{8} + 217813282150 x^{6} + 6476220131501 x^{4} + 100585999361780 x^{2} + 617051226286141$ $2^{16}\cdot 5^{8}\cdot 101^{8}\cdot 181^{5}$ $C_8^2:D_4$ (as 16T1022) $[2, 2, 2, 2, 2, 5542900]$ $6824.94222592$
16.0.124...728.1 $x^{16} + 784 x^{14} + 233444 x^{12} + 35068304 x^{10} + 2901858458 x^{8} + 133415695888 x^{6} + 3219023669900 x^{4} + 35156129966736 x^{2} + 131686311606833$ $2^{66}\cdot 113^{3}\cdot 1039^{4}$ $(C_2\times D_4^2).C_4$ (as 16T859) $[2, 2, 2, 2, 6505842]$ $32531.4048639$
16.0.124...728.2 $x^{16} + 768 x^{14} - 1344 x^{13} + 234516 x^{12} - 810080 x^{11} + 36832344 x^{10} - 180550016 x^{9} + 3247513764 x^{8} - 18268415520 x^{7} + 164442964472 x^{6} - 823975640832 x^{5} + 4372884625864 x^{4} - 13639981873744 x^{3} + 39461593881600 x^{2} - 57260669617984 x + 76525609115134$ $2^{66}\cdot 113^{3}\cdot 1039^{4}$ $(C_2\times D_4^2).C_4$ (as 16T859) $[2, 2, 2, 2, 6505842]$ $32531.404863900207$
16.0.464...000.1 $x^{16} - 8 x^{15} + 984 x^{14} - 5720 x^{13} + 382454 x^{12} - 1514544 x^{11} + 75142184 x^{10} - 171000432 x^{9} + 7935098902 x^{8} - 5266671808 x^{7} + 442834270608 x^{6} + 394055458624 x^{5} + 12103859349286 x^{4} + 26979610070088 x^{3} + 147946145179392 x^{2} + 397967245968856 x + 795234841581409$ $2^{44}\cdot 5^{8}\cdot 11^{6}\cdot 151^{4}\cdot 271^{2}$ $(C_2^2\times C_4^2):C_2^3$ (as 16T796) $[2, 2, 2, 2, 2, 2, 3868312]$ $17367.305933381453$
16.0.593...000.1 $x^{16} + 966 x^{14} + 336865 x^{12} + 54096892 x^{10} + 4564529155 x^{8} + 213414926004 x^{6} + 5474328578946 x^{4} + 70645633332048 x^{2} + 352375894935684$ $2^{38}\cdot 3^{4}\cdot 5^{8}\cdot 31^{2}\cdot 89^{4}\cdot 33641^{2}$ $C_2^2.C_2^2\wr C_2^2$ (as 16T1605) $[2, 2, 2, 2, 20522460]$ $21348.0660855$
16.0.656...000.74 $x^{16} + 780 x^{14} + 188370 x^{12} + 19164600 x^{10} + 930852000 x^{8} + 22422582000 x^{6} + 257859693000 x^{4} + 1249258140000 x^{2} + 1873887210000$ $2^{44}\cdot 3^{8}\cdot 5^{12}\cdot 13^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 2, 4, 4, 20, 40, 680]$ $57386.413931756586$
16.0.324...912.1 $x^{16} + 1040 x^{14} + 413632 x^{12} + 81233056 x^{10} + 8399650146 x^{8} + 453293070296 x^{6} + 12271932633428 x^{4} + 147376666008656 x^{2} + 526630603644098$ $2^{67}\cdot 17^{6}\cdot 977^{4}$ $(C_4\times \OD_{16}).D_4$ (as 16T937) $[2, 2, 2, 2, 2, 17397908]$ $42439.7060581$
16.0.324...912.2 $x^{16} + 1080 x^{14} + 445108 x^{12} + 89721256 x^{10} + 9481842342 x^{8} + 527214969352 x^{6} + 14588368338164 x^{4} + 174011003239136 x^{2} + 526630603644098$ $2^{67}\cdot 17^{6}\cdot 977^{4}$ $(C_4\times \OD_{16}).D_4$ (as 16T937) $[2, 2, 2, 2, 2, 13352508]$ $42439.7060581$
16.0.437...536.1 $x^{16} + 492 x^{14} + 87822 x^{12} + 7199928 x^{10} + 282271716 x^{8} + 5280868224 x^{6} + 42978947328 x^{4} + 105408221184 x^{2} + 45174951936$ $2^{44}\cdot 3^{8}\cdot 41^{14}$ $C_8\times C_2$ (as 16T5) $[2, 2, 2, 2, 8006728]$ $533954.940478744$
16.0.611...000.1 $x^{16} + 924 x^{14} - 340 x^{13} + 272760 x^{12} - 31440 x^{11} + 33633576 x^{10} - 5455480 x^{9} + 2023819954 x^{8} - 364995040 x^{7} + 63031672656 x^{6} - 23051035280 x^{5} + 1004385747460 x^{4} - 766557135840 x^{3} + 6946284261904 x^{2} - 9033027884240 x + 11940059568116$ $2^{40}\cdot 5^{12}\cdot 11^{8}\cdot 571^{4}$ $C_4^2.(C_2^2\times C_4)$ (as 16T467) $[2, 2, 2, 2, 2, 2, 2, 1661828]$ $130320.792052$
16.0.611...000.2 $x^{16} + 884 x^{14} - 460 x^{13} + 279960 x^{12} - 283240 x^{11} + 37499896 x^{10} - 58510080 x^{9} + 2032000719 x^{8} - 3943978960 x^{7} + 53612475676 x^{6} - 98903155760 x^{5} + 744323000990 x^{4} - 1183776575800 x^{3} + 5126676453884 x^{2} - 5348496829980 x + 10362339067001$ $2^{40}\cdot 5^{12}\cdot 11^{8}\cdot 571^{4}$ $C_4^2.(C_2^2\times C_4)$ (as 16T467) $[2, 2, 2, 2, 2, 2, 2, 1455270]$ $130320.792052$
16.0.638...569.2 $x^{16} - x^{15} + 64 x^{14} + 320 x^{13} - 2278 x^{12} - 14002 x^{11} - 143032 x^{10} - 1270944 x^{9} - 2564467 x^{8} + 11757259 x^{7} + 259046624 x^{6} + 2375245912 x^{5} + 13322733808 x^{4} + 53673234160 x^{3} + 167744328448 x^{2} + 361157329920 x + 401292214272$ $17^{14}\cdot 41^{14}$ $C_8\times C_2$ (as 16T5) $[17, 22055052]$ $3288669416.54$
16.0.759...000.24 $x^{16} + 1020 x^{14} + 313650 x^{12} + 42687000 x^{10} + 2809080000 x^{8} + 87783750000 x^{6} + 1290421125000 x^{4} + 7900537500000 x^{2} + 11850806250000$ $2^{44}\cdot 3^{8}\cdot 5^{8}\cdot 17^{14}$ $C_8\times C_2$ (as 16T5) $[2, 2, 2, 2, 2, 2, 2423618]$ $103646.40189541418$
16.0.105...000.29 $x^{16} + 520 x^{14} + 72280 x^{12} + 4123600 x^{10} + 108831775 x^{8} + 1340170000 x^{6} + 7634575000 x^{4} + 17850625000 x^{2} + 11156640625$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 13^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 4, 4, 40, 47560]$ $3096919.8109767493$
16.0.105...000.63 $x^{16} + 520 x^{14} + 98020 x^{12} + 8382400 x^{10} + 342457375 x^{8} + 7034794000 x^{6} + 72361490500 x^{4} + 337876630000 x^{2} + 509831700625$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 13^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 2, 4, 4, 808520]$ $3395404.6678926502$
16.0.105...000.66 $x^{16} + 624 x^{14} + 148356 x^{12} + 17010864 x^{10} + 991343691 x^{8} + 27910775880 x^{6} + 314044277040 x^{4} + 936943605000 x^{2} + 566850881025$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 13^{12}$ $C_4^2$ (as 16T4) $[2, 2, 4, 8, 408, 4080]$ $833353.4796729003$
16.0.105...000.111 $x^{16} + 520 x^{14} + 109460 x^{12} + 11965200 x^{10} + 725842325 x^{8} + 24327381000 x^{6} + 426030156500 x^{4} + 3372768490000 x^{2} + 8400432722500$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 13^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 8, 24, 83640]$ $5519632.427467192$
16.0.107...328.1 $x^{16} + 748 x^{14} + 218042 x^{12} + 32039832 x^{10} + 2528793520 x^{8} + 103688499024 x^{6} + 1891077591304 x^{4} + 9615126068768 x^{2} + 9853649041808$ $2^{44}\cdot 11^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 65218052]$ $308865.41107064753$
16.0.230...944.9 $x^{16} + 1144 x^{14} + 446732 x^{12} + 71980480 x^{10} + 5062477134 x^{8} + 169837942560 x^{6} + 2708915183832 x^{4} + 17810338909792 x^{2} + 24489216000964$ $2^{62}\cdot 11^{8}\cdot 13^{12}$ $C_8\times C_2$ (as 16T5) $[3, 6, 6, 1579782]$ $108889.88555195347$
16.0.234...000.1 $x^{16} - 8 x^{15} + 412 x^{14} - 1764 x^{13} + 63806 x^{12} - 47388 x^{11} + 4670180 x^{10} + 16709548 x^{9} + 173831769 x^{8} + 1709712244 x^{7} + 5006084840 x^{6} + 60097040484 x^{5} + 247939978456 x^{4} + 656088145268 x^{3} + 8329269294588 x^{2} - 1393015120376 x + 75558851901361$ $2^{40}\cdot 3^{8}\cdot 5^{14}\cdot 41^{2}\cdot 563021^{2}$ $C_2^6:\OD_{16}$ (as 16T1162) $[2, 2, 4, 31435684]$ $114709.055882$
16.0.243...000.20 $x^{16} + 192 x^{14} + 17916 x^{12} + 1013056 x^{10} + 38045364 x^{8} + 973354368 x^{6} + 17044358464 x^{4} + 186876209664 x^{2} + 1092493210176$ $2^{48}\cdot 5^{12}\cdot 29^{12}$ $C_4^2$ (as 16T4) $[2, 4, 8, 1927120]$ $394683673.28410536$
16.0.282...000.19 $x^{16} + 740 x^{14} + 210530 x^{12} + 29844200 x^{10} + 2305396000 x^{8} + 99381186000 x^{6} + 2334546117000 x^{4} + 27325267380000 x^{2} + 122963703210000$ $2^{44}\cdot 5^{12}\cdot 37^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 10, 10, 10, 59170]$ $1116781.2621991208$
16.0.316...000.1 $x^{16} + 880 x^{14} + 314600 x^{12} + 58564000 x^{10} + 6039412500 x^{8} + 338207100000 x^{6} + 9300695250000 x^{4} + 97435855000000 x^{2} + 77437145761250$ $2^{79}\cdot 5^{12}\cdot 11^{8}$ $C_{16}$ (as 16T1) $[2, 306799748]$ $320942.0117381313$
16.0.316...000.2 $x^{16} + 880 x^{14} + 314600 x^{12} + 58564000 x^{10} + 6039412500 x^{8} + 338207100000 x^{6} + 9300695250000 x^{4} + 97435855000000 x^{2} + 257498605801250$ $2^{79}\cdot 5^{12}\cdot 11^{8}$ $C_{16}$ (as 16T1) $[2, 90566276]$ $320942.0117381313$
16.0.366...936.7 $x^{16} + 32 x^{14} - 328 x^{13} + 4356 x^{12} - 16400 x^{11} + 294176 x^{10} - 556944 x^{9} - 2998808 x^{8} - 63183296 x^{7} + 314280384 x^{6} - 3101634256 x^{5} + 33449145528 x^{4} - 43796710368 x^{3} + 499235025024 x^{2} - 291056903424 x + 1694656660932$ $2^{48}\cdot 7^{8}\cdot 41^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 4, 4, 8, 24, 24, 840]$ $411276342.2126948$
16.0.410...248.1 $x^{16} + 884 x^{14} + 304538 x^{12} + 52886184 x^{10} + 4933055920 x^{8} + 239047344432 x^{6} + 5152444842376 x^{4} + 30960620275936 x^{2} + 37497509782928$ $2^{44}\cdot 13^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 528068]$ $308865.41107064753$
16.0.410...248.2 $x^{16} + 884 x^{14} + 304538 x^{12} + 52886184 x^{10} + 5041816208 x^{8} + 267325019312 x^{6} + 7394864460360 x^{4} + 83938440196832 x^{2} + 37497509782928$ $2^{44}\cdot 13^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 2, 2, 2, 2, 2, 2, 28, 34972]$ $308865.41107064753$
16.0.969...000.9 $x^{16} + 288 x^{14} + 32916 x^{12} + 1621984 x^{10} + 17935164 x^{8} - 768301248 x^{6} + 6889679824 x^{4} - 24932542464 x^{2} + 35571468816$ $2^{44}\cdot 5^{12}\cdot 41^{12}$ $C_4^2$ (as 16T4) $[4, 20, 20, 40, 7400]$ $52989569.66560047$
16.0.969...000.20 $x^{16} + 820 x^{14} + 214430 x^{12} + 24542600 x^{10} + 1390691300 x^{8} + 40249864000 x^{6} + 576730928000 x^{4} + 3616974080000 x^{2} + 7233948160000$ $2^{44}\cdot 5^{12}\cdot 41^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 2, 2, 2, 52, 53300]$ $727356.6173138123$
16.0.969...000.22 $x^{16} - 288 x^{14} + 39396 x^{12} - 3310304 x^{10} + 185330844 x^{8} - 7050027072 x^{6} + 177390624784 x^{4} - 2681723402496 x^{2} + 18451182794256$ $2^{44}\cdot 5^{12}\cdot 41^{12}$ $C_4^2$ (as 16T4) $[2, 2, 2, 4, 40, 156880]$ $546895017.4404038$
16.0.101...000.1 $x^{16} + 1168 x^{14} - 1716 x^{13} + 511010 x^{12} - 1113408 x^{11} + 112405248 x^{10} - 267407364 x^{9} + 13586028503 x^{8} - 29544777456 x^{7} + 903868150860 x^{6} - 1458109683324 x^{5} + 30925819337576 x^{4} - 25388246588088 x^{3} + 490041878843476 x^{2} - 119034342218376 x + 3136651030534129$ $2^{40}\cdot 3^{4}\cdot 5^{8}\cdot 13^{8}\cdot 1249^{2}\cdot 1511^{2}$ $(C_2^2\times D_4^2).C_2^4$ (as 16T1547) $[2, 2, 2, 2, 2, 31008660]$ $113414.110194$
16.0.101...000.2 $x^{16} - 4 x^{15} + 516 x^{14} - 2936 x^{13} + 107194 x^{12} - 641420 x^{11} + 11627920 x^{10} - 66371504 x^{9} + 728118680 x^{8} - 3717247748 x^{7} + 27035672060 x^{6} - 114044064440 x^{5} + 572310574986 x^{4} - 1784176112812 x^{3} + 6210498313016 x^{2} - 11384486485632 x + 25628389555519$ $2^{40}\cdot 3^{4}\cdot 5^{8}\cdot 13^{8}\cdot 1249^{2}\cdot 1511^{2}$ $(C_2^2\times D_4^2).C_2^4$ (as 16T1547) $[2, 2, 2, 2, 2, 29994700]$ $113414.110194$
16.0.129...000.1 $x^{16} + 1020 x^{14} + 405450 x^{12} + 81243000 x^{10} + 8743950000 x^{8} + 488903850000 x^{6} + 12159082125000 x^{4} + 84303382500000 x^{2} + 117810956250000$ $2^{44}\cdot 3^{8}\cdot 5^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 2, 90180868]$ $308865.41107064753$
16.0.138...872.1 $x^{16} + 560 x^{14} + 118048 x^{12} + 12132848 x^{10} + 644338394 x^{8} + 16821430696 x^{6} + 178643373076 x^{4} + 563622068800 x^{2} + 135973824098$ $2^{67}\cdot 7^{14}\cdot 193^{4}$ $D_4^2:C_2^2:C_4$ (as 16T1188) $[2, 2, 2, 2, 2, 2, 2408144]$ $1200202.11347$
16.0.138...872.2 $x^{16} + 784 x^{14} + 194516 x^{12} + 21761432 x^{10} + 1214654686 x^{8} + 33084444456 x^{6} + 362054171164 x^{4} + 467806317104 x^{2} + 135973824098$ $2^{67}\cdot 7^{14}\cdot 193^{4}$ $D_4^2:C_2^2:C_4$ (as 16T1188) $[2, 2, 2, 2, 2, 2, 2583840]$ $1200202.11347$
16.0.138...872.3 $x^{16} + 448 x^{14} + 73388 x^{12} + 5577768 x^{10} + 217602126 x^{8} + 4457348896 x^{6} + 45900154748 x^{4} + 197267724080 x^{2} + 135973824098$ $2^{67}\cdot 7^{14}\cdot 193^{4}$ $(C_2\times C_4^3).D_4$ (as 16T1230) $[2, 2, 2, 2, 2, 4, 1486716]$ $1200202.11347$
16.0.138...872.4 $x^{16} + 560 x^{14} + 123928 x^{12} + 13756064 x^{10} + 800459128 x^{8} + 23105342400 x^{6} + 282979163040 x^{4} + 1397782730624 x^{2} + 2175581185568$ $2^{67}\cdot 7^{14}\cdot 193^{4}$ $(C_2\times C_4^3).D_4$ (as 16T1230) $[2, 2, 2, 2, 2, 4, 933928]$ $1200202.11347$
16.0.238...056.22 $x^{16} + 88 x^{14} - 208 x^{13} + 8368 x^{12} - 20800 x^{11} + 638672 x^{10} - 1465568 x^{9} + 36424504 x^{8} - 70097664 x^{7} + 1387466400 x^{6} - 2216400576 x^{5} + 35413540288 x^{4} - 40748008704 x^{3} + 535089365184 x^{2} - 352153340032 x + 4121239940624$ $2^{44}\cdot 13^{12}\cdot 17^{12}$ $C_4^2$ (as 16T4) $[2, 2, 2, 2, 4, 120, 15600]$ $27023332.036477774$
16.0.238...056.28 $x^{16} + 884 x^{14} + 259454 x^{12} + 31648968 x^{10} + 1869438116 x^{8} + 55955375424 x^{6} + 811007540096 x^{4} + 4885387839488 x^{2} + 9770775678976$ $2^{44}\cdot 13^{12}\cdot 17^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 4, 4, 8, 312, 1560]$ $897048.5749561078$
16.0.260...000.3 $x^{16} + 820 x^{14} + 243950 x^{12} + 33333000 x^{10} + 2178022500 x^{8} + 67912400000 x^{6} + 921188000000 x^{4} + 3765440000000 x^{2} + 2689600000000$ $2^{44}\cdot 5^{8}\cdot 41^{14}$ $C_8\times C_2$ (as 16T5) $[2, 2, 4, 4, 4, 8, 112712]$ $533954.940478744$
16.0.262...000.33 $x^{16} + 680 x^{14} + 146540 x^{12} + 10635200 x^{10} + 129406975 x^{8} + 599386000 x^{6} + 1176663500 x^{4} + 835210000 x^{2} + 52200625$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 17^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 4, 156, 22620]$ $1711984.1457441703$
16.0.262...000.35 $x^{16} + 680 x^{14} + 175100 x^{12} + 21732800 x^{10} + 1371644575 x^{8} + 41396938000 x^{6} + 452278497500 x^{4} + 10857730000 x^{2} + 52200625$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 17^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 2, 10, 30, 45240]$ $2478557.1657538777$
16.0.262...000.56 $x^{16} + 488 x^{14} + 71756 x^{12} + 2873344 x^{10} + 14583259 x^{8} - 687937848 x^{6} + 3865158504 x^{4} - 409240944 x^{2} + 89663714721$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 17^{12}$ $C_4^2$ (as 16T4) $[2, 2, 2, 2, 20, 120, 6960]$ $6183243.81077213$
16.0.262...000.63 $x^{16} + 328 x^{14} + 39116 x^{12} + 2154304 x^{10} + 64573714 x^{8} + 1108555112 x^{6} + 10689323324 x^{4} + 57170356256 x^{2} + 244628170801$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 17^{12}$ $C_4^2$ (as 16T4) $[2, 2, 8, 8, 40, 19720]$ $6814399.346097333$
16.0.262...000.76 $x^{16} + 680 x^{14} + 151640 x^{12} + 13814200 x^{10} + 615403825 x^{8} + 14090484000 x^{6} + 157766256000 x^{4} + 721621440000 x^{2} + 1082432160000$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 17^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 4, 156, 22620]$ $4424425.500726906$
16.0.262...000.77 $x^{16} + 680 x^{14} + 179180 x^{12} + 23004400 x^{10} + 1481016625 x^{8} + 44275956000 x^{6} + 526005432000 x^{4} + 1443242880000 x^{2} + 1082432160000$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 17^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 4, 580, 7540]$ $5997651.461690898$
16.0.262...000.91 $x^{16} + 680 x^{14} + 146540 x^{12} + 13640800 x^{10} + 619088575 x^{8} + 14709522000 x^{6} + 184097479500 x^{4} + 1127533500000 x^{2} + 2642656640625$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 17^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 2, 10, 30, 26520]$ $3083829.668996395$
16.0.262...000.104 $x^{16} + 816 x^{14} + 236232 x^{12} + 30712608 x^{10} + 2042084115 x^{8} + 71545582152 x^{6} + 1241503524972 x^{4} + 8539740283104 x^{2} + 8022993935121$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 17^{12}$ $C_4^2$ (as 16T4) $[2, 4, 60, 60, 120, 120]$ $1671686.3034391652$
16.0.262...000.110 $x^{16} + 680 x^{14} + 175100 x^{12} + 21964000 x^{10} + 1449674575 x^{8} + 49994688000 x^{6} + 828516037500 x^{4} + 5524914150000 x^{2} + 10152029750625$ $2^{48}\cdot 3^{8}\cdot 5^{12}\cdot 17^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2, 4, 348, 29580]$ $4050761.4811952463$
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