Learn more

Refine search


Results (1-50 of 92 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
16.8.755...281.2 $x^{16} - 7 x^{15} + 17 x^{14} - 11 x^{13} - 31 x^{12} + 76 x^{11} - 65 x^{10} + 7 x^{9} + 28 x^{8} - 8 x^{7} + 40 x^{6} - 96 x^{5} + 63 x^{4} - 25 x^{3} + 17 x^{2} - 4 x - 1$ $17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $22944.6161536$
16.8.755...281.3 $x^{16} - 3 x^{15} + x^{14} + 11 x^{13} - 17 x^{12} + 35 x^{11} - 48 x^{10} - 43 x^{9} + 240 x^{8} - 55 x^{7} - 182 x^{6} + 2 x^{5} - 20 x^{3} + 4 x^{2} + 6 x + 1$ $17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $24763.5557435$
16.4.171...729.1 $x^{16} - 5 x^{15} + 9 x^{14} - 4 x^{13} + 3 x^{12} - 69 x^{11} + 269 x^{10} - 579 x^{9} + 839 x^{8} - 907 x^{7} + 725 x^{6} - 420 x^{5} + 165 x^{4} - 45 x^{3} + 38 x^{2} - 2 x - 1$ $17^{14}\cdot 101^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $13147.8809644$
16.8.171...729.1 $x^{16} - x^{15} - 12 x^{14} + 21 x^{13} + 32 x^{12} - 93 x^{11} + 3 x^{10} + 148 x^{9} - 70 x^{8} - 118 x^{7} + 45 x^{6} + 109 x^{5} - 25 x^{4} - 61 x^{3} - 6 x^{2} + 29 x - 1$ $17^{14}\cdot 101^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $37017.9300368$
16.4.316...401.1 $x^{16} - 3 x^{15} + 20 x^{13} - 37 x^{12} + 50 x^{11} - 29 x^{10} + 56 x^{9} - 40 x^{8} - x^{7} + 75 x^{6} - 48 x^{5} - 29 x^{4} + x^{3} + 17 x^{2} - 15 x - 1$ $17^{14}\cdot 137^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $26612.6038919$
16.8.316...401.1 $x^{16} - 2 x^{15} - 11 x^{14} + 31 x^{13} + 19 x^{12} - 133 x^{11} + 125 x^{10} + 53 x^{9} - 271 x^{8} + 459 x^{7} - 425 x^{6} + 17 x^{5} + 425 x^{4} - 459 x^{3} + 187 x^{2} - 17$ $17^{14}\cdot 137^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $58047.590611$
16.12.110...944.1 $x^{16} - 4 x^{14} - 10 x^{12} + 78 x^{10} - 155 x^{8} + 130 x^{6} - 41 x^{4} + x^{2} + 1$ $2^{16}\cdot 17^{14}$ $C_2^7:C_8$ (as 16T1194) trivial $236656.076559$
16.4.110...944.1 $x^{16} + 4 x^{14} - 10 x^{12} - 44 x^{10} - 2 x^{8} + 74 x^{6} + 61 x^{4} + 16 x^{2} + 1$ $2^{16}\cdot 17^{14}$ $C_2^7:C_8$ (as 16T1194) trivial $40029.5161668$
16.12.110...944.2 $x^{16} - 4 x^{14} - 10 x^{12} + 44 x^{10} - 2 x^{8} - 74 x^{6} + 61 x^{4} - 16 x^{2} + 1$ $2^{16}\cdot 17^{14}$ $C_2^7:C_8$ (as 16T1194) trivial $235111.959136$
16.4.110...944.2 $x^{16} + 4 x^{14} - 10 x^{12} - 78 x^{10} - 155 x^{8} - 130 x^{6} - 41 x^{4} - x^{2} + 1$ $2^{16}\cdot 17^{14}$ $C_2^7:C_8$ (as 16T1194) $[2]$ $20636.6708344$
16.12.755...136.1 $x^{16} - 8 x^{14} + 12 x^{12} + 40 x^{10} - 130 x^{8} + 104 x^{6} - 4 x^{4} - 8 x^{2} + 1$ $2^{76}$ $C_2^7:C_8$ (as 16T1194) trivial $1132015.6444865253$
16.12.755...136.2 $x^{16} - 8 x^{14} + 4 x^{12} + 104 x^{10} - 294 x^{8} + 280 x^{6} - 100 x^{4} + 8 x^{2} + 1$ $2^{76}$ $C_2^7:C_8$ (as 16T1194) trivial $1123691.9764526493$
16.4.755...136.5 $x^{16} + 8 x^{14} + 4 x^{12} - 104 x^{10} - 294 x^{8} - 280 x^{6} - 100 x^{4} - 8 x^{2} + 1$ $2^{76}$ $C_2^7:C_8$ (as 16T1194) trivial $203574.95451565288$
16.8.755...136.6 $x^{16} + 8 x^{14} + 4 x^{12} - 56 x^{10} - 2 x^{8} + 56 x^{6} - 12 x^{4} - 8 x^{2} + 1$ $2^{76}$ $C_2^7:C_8$ (as 16T1194) trivial $439690.4763423809$
16.8.755...136.8 $x^{16} + 8 x^{14} + 4 x^{12} - 40 x^{10} - 6 x^{8} + 40 x^{6} - 4 x^{4} - 8 x^{2} + 1$ $2^{76}$ $C_2^7:C_8$ (as 16T1194) trivial $423312.66719107865$
16.8.755...136.10 $x^{16} - 8 x^{14} + 4 x^{12} + 56 x^{10} - 2 x^{8} - 56 x^{6} - 12 x^{4} + 8 x^{2} + 1$ $2^{76}$ $C_2^7:C_8$ (as 16T1194) trivial $541815.0729966994$
16.8.755...136.11 $x^{16} - 8 x^{14} + 4 x^{12} + 40 x^{10} - 6 x^{8} - 40 x^{6} - 4 x^{4} + 8 x^{2} + 1$ $2^{76}$ $C_2^7:C_8$ (as 16T1194) trivial $521756.1496560464$
16.4.755...136.13 $x^{16} + 8 x^{14} + 12 x^{12} - 40 x^{10} - 130 x^{8} - 104 x^{6} - 4 x^{4} + 8 x^{2} + 1$ $2^{76}$ $C_2^7:C_8$ (as 16T1194) trivial $173892.4280591192$
16.12.339...409.1 $x^{16} - 4 x^{15} - 16 x^{14} + 65 x^{13} + 97 x^{12} - 333 x^{11} - 211 x^{10} - 3 x^{9} - 601 x^{8} + 5676 x^{7} + 4109 x^{6} - 16107 x^{5} - 9109 x^{4} + 12503 x^{3} + 6343 x^{2} - 1082 x - 307$ $17^{14}\cdot 67^{4}$ $C_2^7:C_8$ (as 16T1194) trivial $4112173.95016$
16.4.339...409.1 $x^{16} - 3 x^{15} + 11 x^{14} - 11 x^{13} - 60 x^{12} + 300 x^{11} - 1213 x^{10} + 2461 x^{9} - 4741 x^{8} + 5556 x^{7} - 4672 x^{6} + 491 x^{5} + 4456 x^{4} - 7090 x^{3} + 3779 x^{2} - 1713 x - 2789$ $17^{14}\cdot 67^{4}$ $C_2^7:C_8$ (as 16T1194) $[2]$ $296551.660021$
16.4.339...409.2 $x^{16} - 5 x^{15} + 10 x^{14} - 19 x^{13} + 30 x^{12} - 199 x^{11} + 503 x^{10} - 773 x^{9} - 657 x^{8} + 3402 x^{7} - 5195 x^{6} + 9313 x^{5} - 7926 x^{4} + 7472 x^{3} - 2560 x^{2} + 2145 x + 1021$ $17^{14}\cdot 67^{4}$ $C_2^7:C_8$ (as 16T1194) $[2]$ $295231.718761$
16.12.339...409.3 $x^{16} - 4 x^{15} - 10 x^{14} + 61 x^{13} - 155 x^{12} + 419 x^{11} - 228 x^{10} - 934 x^{9} + 1157 x^{8} - 1343 x^{7} - 612 x^{6} + 4063 x^{5} + 34 x^{4} - 2856 x^{3} - 187 x^{2} + 510 x + 17$ $17^{14}\cdot 67^{4}$ $C_2^7:C_8$ (as 16T1194) trivial $3731014.34737$
16.12.175...529.1 $x^{16} - 2 x^{15} - 4 x^{14} + 23 x^{13} - 182 x^{12} - 46 x^{11} + 1179 x^{10} - 1502 x^{9} + 776 x^{8} + 12647 x^{7} - 11064 x^{6} - 26215 x^{5} + 10486 x^{4} + 15687 x^{3} - 1182 x^{2} - 2572 x - 239$ $17^{14}\cdot 101^{4}$ $C_2^7:C_8$ (as 16T1194) trivial $7947040.59106$
16.8.175...529.1 $x^{16} - 4 x^{15} - 16 x^{14} + 48 x^{13} + 97 x^{12} - 231 x^{11} - 568 x^{10} + 1136 x^{9} + 2901 x^{8} - 3249 x^{7} - 5156 x^{6} - 2558 x^{5} + 479 x^{4} + 28908 x^{3} - 9246 x^{2} - 37700 x + 25261$ $17^{14}\cdot 101^{4}$ $C_2^7:C_8$ (as 16T1194) trivial $3632124.57127$
16.12.175...529.2 $x^{16} - 3 x^{15} - 23 x^{14} + 91 x^{13} + 59 x^{12} - 703 x^{11} + 1473 x^{10} - 718 x^{9} - 6339 x^{8} + 15450 x^{7} - 8871 x^{6} - 4354 x^{5} + 10882 x^{4} - 9742 x^{3} - 6353 x^{2} + 3234 x + 1427$ $17^{14}\cdot 101^{4}$ $C_2^7:C_8$ (as 16T1194) trivial $8827615.96286$
16.8.175...529.2 $x^{16} - 6 x^{15} + 11 x^{14} - 55 x^{13} + 140 x^{12} - 125 x^{11} + 295 x^{10} + 424 x^{9} - 1932 x^{8} + 3263 x^{7} - 8562 x^{6} + 5689 x^{5} + 10442 x^{4} - 27935 x^{3} + 31002 x^{2} - 5990 x - 3229$ $17^{14}\cdot 101^{4}$ $C_2^7:C_8$ (as 16T1194) trivial $3421001.30832$
16.12.495...616.1 $x^{16} - 16 x^{14} - 75 x^{12} + 1405 x^{10} - 2008 x^{8} - 12179 x^{6} + 30777 x^{4} - 21373 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $17688593.9364$
16.4.495...616.1 $x^{16} + 16 x^{14} - 41 x^{12} - 1116 x^{10} - 4422 x^{8} - 5552 x^{6} + 2064 x^{4} + 8844 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) $[2]$ $1487022.71956$
16.0.495...616.1 $x^{16} + 35 x^{14} + 486 x^{12} + 3428 x^{10} + 13207 x^{8} + 28366 x^{6} + 33276 x^{4} + 19631 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) $[2, 2, 78]$ $3640.01221338$
16.8.495...616.1 $x^{16} + x^{14} - 75 x^{12} + 11 x^{10} + 1222 x^{8} - 143 x^{6} - 4413 x^{4} + 268 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $6352417.68051$
16.16.495...616.1 $x^{16} - 35 x^{14} + 486 x^{12} - 3428 x^{10} + 13207 x^{8} - 28366 x^{6} + 33276 x^{4} - 19631 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $40729869.2956$
16.16.495...616.2 $x^{16} - 33 x^{14} + 435 x^{12} - 2981 x^{10} + 11592 x^{8} - 26051 x^{6} + 32613 x^{4} - 20234 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $41428899.6077$
16.12.495...616.2 $x^{16} - 13 x^{14} - 10 x^{12} + 687 x^{10} - 2399 x^{8} - 1405 x^{6} + 15412 x^{4} - 15879 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $16731955.8348$
16.4.495...616.2 $x^{16} + 21 x^{14} + 109 x^{12} - 248 x^{10} - 2637 x^{8} - 2034 x^{6} + 9564 x^{4} + 14874 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) $[2]$ $1331501.66618$
16.0.495...616.2 $x^{16} + 33 x^{14} + 435 x^{12} + 2981 x^{10} + 11592 x^{8} + 26051 x^{6} + 32613 x^{4} + 20234 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) $[2, 2, 72]$ $3640.01221338$
16.8.495...616.2 $x^{16} + 18 x^{14} + 44 x^{12} - 482 x^{10} - 784 x^{8} + 5042 x^{6} - 2271 x^{4} - 6566 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $7356442.00155$
16.12.495...616.3 $x^{16} - 16 x^{14} + 10 x^{12} + 640 x^{10} - 1515 x^{8} - 5362 x^{6} + 18809 x^{4} - 16817 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $17285547.376068655$
16.8.495...616.3 $x^{16} + 16 x^{14} - 24 x^{12} - 674 x^{10} + 610 x^{8} + 7232 x^{6} - 13899 x^{4} + 2010 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) $[2]$ $2978158.73271$
16.12.495...616.4 $x^{16} - 16 x^{14} - 41 x^{12} + 1116 x^{10} - 4422 x^{8} + 5552 x^{6} + 2064 x^{4} - 8844 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $17620504.134954706$
16.8.495...616.4 $x^{16} + 4 x^{14} - 95 x^{12} - 299 x^{10} + 1936 x^{8} + 1791 x^{6} - 12281 x^{4} + 6901 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $6948108.28735$
16.8.495...616.5 $x^{16} + 4 x^{14} - 61 x^{12} - 95 x^{10} + 1222 x^{8} - 589 x^{6} - 4563 x^{4} + 2345 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) $[2]$ $3251239.75498$
16.12.495...616.5 $x^{16} - 36 x^{14} + 482 x^{12} - 2859 x^{10} + 6360 x^{8} + 2060 x^{6} - 18116 x^{4} + 3283 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $16027855.287100071$
16.8.495...616.6 $x^{16} + 13 x^{14} + 7 x^{12} - 313 x^{10} - 342 x^{8} + 2663 x^{6} + 1251 x^{4} - 8040 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $7566380.79357$
16.8.495...616.10 $x^{16} - 4 x^{14} - 95 x^{12} + 299 x^{10} + 1936 x^{8} - 1791 x^{6} - 12281 x^{4} - 6901 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $7250495.657853184$
16.8.495...616.11 $x^{16} + x^{14} - 75 x^{12} - 91 x^{10} + 1630 x^{8} + 1591 x^{6} - 11349 x^{4} - 6566 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $6482758.438236217$
16.8.495...616.12 $x^{16} - 4 x^{14} - 129 x^{12} - 177 x^{10} + 2174 x^{8} + 3819 x^{6} - 7249 x^{4} - 4623 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) $[2]$ $3594818.074799628$
16.8.495...616.13 $x^{16} + 16 x^{14} - 7 x^{12} - 623 x^{10} + 236 x^{8} + 6229 x^{6} - 7575 x^{4} - 3685 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) $[2]$ $3866320.744736807$
16.8.495...616.15 $x^{16} - x^{14} - 75 x^{12} - 11 x^{10} + 1222 x^{8} + 143 x^{6} - 4413 x^{4} - 268 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $6480934.198591608$
16.8.495...616.16 $x^{16} + 4 x^{14} - 112 x^{12} - 78 x^{10} + 2650 x^{8} - 164 x^{6} - 16463 x^{4} + 1206 x^{2} + 4489$ $2^{16}\cdot 17^{14}\cdot 67^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $7477743.895676143$
16.0.166...424.1 $x^{16} - 8 x^{14} + 28 x^{12} - 120 x^{10} + 410 x^{8} - 872 x^{6} + 1956 x^{4} - 1880 x^{2} + 2209$ $2^{76}\cdot 47^{2}$ $C_2^7:C_8$ (as 16T1194) trivial $3390054.05054$
Next   displayed columns for results