Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Results (1-50 of 219 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
17.1.133094720815439153.1	$x^{17} - 2 x^{16} + 7 x^{15} - 12 x^{14} + 22 x^{13} - 34 x^{12} + 46 x^{11} - 61 x^{10} + 65 x^{9} - 65 x^{8} + 53 x^{7} - 36 x^{6} + 20 x^{5} - 5 x^{4} - x^{3} + 4 x^{2} - 2 x + 1$	$17$	[1,8]	$316968877\cdot 419898389$	$2$	$10.1695931395$	$364821491.7126445$			?	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$23.323533439$
17.1.231494845017984433.1	$x^{17} - x^{16} + 2 x^{13} + x^{12} - 5 x^{11} + x^{10} + 3 x^{9} + 3 x^{8} - x^{7} - 7 x^{6} + 2 x^{5} + 6 x^{4} + x^{3} - 3 x^{2} - 3 x - 1$	$17$	[1,8]	$59^{2}\cdot 1217\cdot 1579\cdot 34607051$	$4$	$10.5061502476$	$62638977.010985635$			?	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$32.0498639783$
17.3.158...023.1	$x^{17} - x^{15} - x^{14} - 5 x^{13} + 4 x^{12} + x^{11} + 15 x^{9} - 13 x^{8} - 2 x^{7} + 7 x^{6} - 18 x^{5} + 20 x^{4} - 10 x^{3} + 6 x^{2} - 4 x + 1$	$17$	[3,7]	$-\,2131\cdot 546781\cdot 1361451193$	$3$	$11.7655356049$	$1259503766.9586349$			?	$S_{17}$ (as 17T10)	trivial	$2$	$9$	$130.579387289$
17.3.191...491.1	$x^{17} - 3 x^{16} + 4 x^{15} - 3 x^{14} + x^{13} + 4 x^{12} - 8 x^{11} + 9 x^{10} - 2 x^{9} - 9 x^{8} + 12 x^{7} - x^{6} - 4 x^{5} + 2 x^{4} - 3 x^{3} + x^{2} - x - 1$	$17$	[3,7]	$-\,227\cdot 2411\cdot 3533\cdot 988994191$	$4$	$11.895587848$	$1382866394.632848$			?	$S_{17}$ (as 17T10)	trivial	$2$	$9$	$144.902374432$
17.3.215...383.1	$x^{17} - 2 x^{15} - 4 x^{14} + 4 x^{13} + 7 x^{12} - 3 x^{11} - 3 x^{10} - 3 x^{9} + 5 x^{8} - 5 x^{7} - 4 x^{6} + 14 x^{5} - 2 x^{4} - 7 x^{3} + 2 x + 1$	$17$	[3,7]	$-\,37^{5}\cdot 433\cdot 5531\cdot 12953$	$4$	$11.978222741$	$3569979.5655382182$			?	$S_{17}$ (as 17T10)	trivial	$2$	$9$	$154.682742806$
17.3.231...203.1	$x^{17} - x^{16} + x^{15} - 3 x^{14} + 4 x^{13} - 4 x^{12} - x^{11} + 4 x^{10} - 5 x^{9} + 17 x^{8} - 42 x^{7} + 59 x^{6} - 45 x^{5} + 9 x^{4} + 15 x^{3} - 15 x^{2} + 6 x - 1$	$17$	[3,7]	$-\,16843\cdot 137239279050521$	$2$	$12.0289934072$	$1520368763.5070398$			?	$S_{17}$ (as 17T10)	trivial	$2$	$9$	$161.12597366$
17.3.275...423.1	$x^{17} - 3 x^{16} + 7 x^{15} - 10 x^{14} + 12 x^{13} - 11 x^{12} + 10 x^{11} - 7 x^{10} + 2 x^{9} + 5 x^{8} - 13 x^{7} + 11 x^{6} - 5 x^{5} - 6 x^{4} + 11 x^{3} - 9 x^{2} + 5 x - 1$	$17$	[3,7]	$-\,75653\cdot 3119681\cdot 11682611$	$3$	$12.1544104314$	$1660497129.8707912$			?	$S_{17}$ (as 17T10)	trivial	$2$	$9$	$178.334436956$
17.5.362...901.1	$x^{17} - 5 x^{15} - x^{14} + 5 x^{13} + 6 x^{12} + 9 x^{11} - 16 x^{10} - 21 x^{9} + 19 x^{8} + 13 x^{7} - 5 x^{6} - 4 x^{5} - 5 x^{4} + 3 x^{3} - x + 1$	$17$	[5,6]	$55954279\cdot 64715583419$	$2$	$12.3508429254$	$1902922439.3743691$			?	$S_{17}$ (as 17T10)	trivial	$2$	$10$	$284.067800863$
17.3.377...359.1	$x^{17} - 4 x^{16} + 12 x^{15} - 26 x^{14} + 48 x^{13} - 75 x^{12} + 105 x^{11} - 126 x^{10} + 136 x^{9} - 129 x^{8} + 107 x^{7} - 80 x^{6} + 47 x^{5} - 23 x^{4} + 11 x^{3} - 2 x^{2} - 2 x + 1$	$17$	[3,7]	$-\,137\cdot 1926157\cdot 14323744651$	$3$	$12.3820423069$	$1944170774.5272431$			?	$S_{17}$ (as 17T10)	trivial	$2$	$9$	$206.585713852$
17.5.475...701.1	$x^{17} - 6 x^{15} - 2 x^{14} + 17 x^{13} + 13 x^{12} - 27 x^{11} - 34 x^{10} + 20 x^{9} + 47 x^{8} - 38 x^{6} - 13 x^{5} + 17 x^{4} + 12 x^{3} - 2 x^{2} - 3 x - 1$	$17$	[5,6]	$97\cdot 2927\cdot 2315407\cdot 7234597$	$4$	$12.5504977321$	$2180811211.971046$			?	$S_{17}$ (as 17T10)	trivial	$2$	$10$	$331.845168707$
17.5.145...793.1	$x^{17} - 2 x^{16} + 4 x^{15} - 2 x^{14} + 6 x^{12} - 5 x^{11} + x^{10} + 3 x^{9} - 6 x^{8} - 7 x^{7} - x^{6} - 5 x^{5} - 9 x^{4} - 3 x^{3} - 2 x^{2} - 3 x - 1$	$17$	[5,6]	$10170343\cdot 1427427651151$	$2$	$13.4020113891$	$3810174381.821653$			?	$S_{17}$ (as 17T10)	trivial	$2$	$10$	$621.862699097$
17.5.890...861.1	$x^{17} - 2 x^{16} - 5 x^{15} + 8 x^{14} + 14 x^{13} - 6 x^{12} - 34 x^{11} - 12 x^{10} + 42 x^{9} + 47 x^{8} - 33 x^{7} - 52 x^{6} + 13 x^{5} + 21 x^{4} + 3 x^{3} - 5 x^{2} - 2 x + 1$	$17$	[5,6]	$946391\cdot 3063653\cdot 30715207$	$3$	$14.9110980105$	$9436953412.576094$			?	$S_{17}$ (as 17T10)	trivial	$2$	$10$	$1603.54336024$
17.1.142...644.1	$x^{17} - 2 x^{16} - x^{15} + 5 x^{14} - x^{13} - 8 x^{12} + 6 x^{11} + 8 x^{10} - 11 x^{9} - 3 x^{8} + 13 x^{7} - 3 x^{6} - 8 x^{5} + 5 x^{4} + 3 x^{3} - 3 x^{2} + 1$	$17$	[1,8]	$2^{2}\cdot 1697\cdot 20928611178427313$	$3$	$15.3263991543$	$9460144926.331247$			✓	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$1990.43257715$
17.1.463...841.1	$x^{17} - x^{16} - x^{15} - x^{14} + x^{12} + 13 x^{11} + 7 x^{10} + 11 x^{9} + 4 x^{8} + x^{7} + 7 x^{6} + 23 x^{5} + 31 x^{4} + 42 x^{3} + 24 x^{2} + 6 x - 1$	$17$	[1,8]	$383^{8}$	$1$	$16.4294472544$	$19.570385790780925$			?	$D_{17}$ (as 17T2)	trivial	$2$	$8$	$2610.31631075$
17.1.808...561.1	$x^{17} - x - 1$	$17$	[1,8]	$808793517812627212561$	$1$	$16.9774634294$	$28439295311.463455$			✓	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$3677.70492523$
17.1.103...032.1	$x^{17} - 2 x^{16} - x^{15} + 5 x^{14} - x^{13} - 8 x^{12} + 6 x^{11} + 8 x^{10} - 11 x^{9} - 3 x^{8} + 12 x^{7} - 3 x^{6} - 7 x^{5} + 5 x^{4} + 3 x^{3} - 3 x^{2} + 1$	$17$	[1,8]	$2^{3}\cdot 3^{2}\cdot 373\cdot 38369969405192597$	$4$	$17.2210945759$				✓	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$7633.46863529$
17.3.207...144.1	$x^{17} - 2 x^{16} + x^{15} + 2 x^{14} - 3 x^{13} + 3 x^{11} - 3 x^{10} - x^{9} + 6 x^{8} - 5 x^{7} - 4 x^{6} + 8 x^{5} - 3 x^{4} - 4 x^{3} + 3 x^{2} - 1$	$17$	[3,7]	$-\,2^{3}\cdot 17\cdot 20759\cdot 9318913\cdot 78851137$	$5$	$17.9447075771$				✓	$S_{17}$ (as 17T10)	trivial	$2$	$9$	$12720.6080668$
17.3.855...476.1	$x^{17} - 3 x^{16} + 4 x^{15} + x^{14} - 13 x^{13} + 26 x^{12} - 25 x^{11} + 2 x^{10} + 35 x^{9} - 62 x^{8} + 59 x^{7} - 25 x^{6} - 13 x^{5} + 33 x^{4} - 30 x^{3} + 17 x^{2} - 6 x + 1$	$17$	[3,7]	$-\,2^{2}\cdot 11\cdot 53\cdot 34759\cdot 105529138935877$	$5$	$19.5041730705$				?	$S_{17}$ (as 17T10)	trivial	$2$	$9$	$30334.8896134$
17.1.175...952.1	$x^{17} - 4 x - 4$	$17$	[1,8]	$2^{16}\cdot 63535033\cdot 4221738529$	$3$	$20.348317308$	$994430978.0542748$			?	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$38635.7554956$
17.1.124...441.1	$x^{17} - 4 x^{16} + 6 x^{15} - 5 x^{14} + 7 x^{13} - 17 x^{12} + 24 x^{11} - 16 x^{10} + 42 x^{9} - 83 x^{8} + 82 x^{7} - 72 x^{6} + 37 x^{5} + 24 x^{4} - 10 x^{3} + 14 x^{2} - 2 x + 1$	$17$	[1,8]	$11^{8}\cdot 17^{12}$	$2$	$22.8359627415$	$27.767260433656443$			?	$C_{17}:C_{4}$ (as 17T3)	trivial	$2$	$8$	$83428.2679357$
17.1.239...153.1	$x^{17} - 34 x^{12} + 17 x^{11} + 85 x^{10} + 102 x^{9} - 170 x^{8} - 272 x^{7} - 68 x^{6} + 255 x^{5} + 255 x^{4} + 68 x^{3} + 17 x^{2} + 17 x + 4$	$17$	[1,8]	$17^{19}$	$1$	$23.7250763118$	$27.737240813400426$			?	$F_{17}$ (as 17T5)	trivial	$2$	$8$	$195995.113671$
17.1.604...088.1	$x^{17} - 2 x^{16} + 8 x^{13} + 16 x^{12} - 16 x^{11} + 64 x^{9} - 32 x^{8} - 80 x^{7} + 32 x^{6} + 40 x^{5} + 80 x^{4} + 16 x^{3} - 128 x^{2} - 2 x + 68$	$17$	[1,8]	$2^{79}$	$1$	$25.0555590588$	$30.64330498235436$			?	$F_{17}$ (as 17T5)	trivial	$2$	$8$	$600164.932841$
17.1.930...721.1	$x^{17} - x^{16} + 4 x^{15} - 18 x^{14} + 11 x^{13} + 14 x^{12} + 21 x^{11} - 62 x^{10} + 14 x^{9} + 50 x^{8} + 54 x^{7} - 121 x^{6} - 7 x^{5} + 36 x^{4} + 64 x^{3} - 23 x^{2} + 43 x + 1$	$17$	[1,8]	$991^{8}$	$1$	$25.6990467175$	$31.480152477394387$				$D_{17}$ (as 17T2)	trivial	$2$	$8$	$323467.453718$
17.1.183...561.1	$x^{17} - x^{16} + 5 x^{15} - 19 x^{14} + 26 x^{13} - 30 x^{12} + 44 x^{11} - 48 x^{10} + 39 x^{9} - 62 x^{8} + 30 x^{7} + 112 x^{6} - 4 x^{5} + 16 x^{4} - 62 x^{3} + 180 x^{2} + 35 x + 49$	$17$	[1,8]	$13^{8}\cdot 83^{8}$	$2$	$26.7487941926$	$32.848135411313685$			?	$D_{17}$ (as 17T2)	trivial	$2$	$8$	$257874.899874$
17.1.186...536.1	$x^{17} - 7 x^{16} + 22 x^{15} - 34 x^{14} + 16 x^{13} + 8 x^{12} - 48 x^{11} + 12 x^{10} - 76 x^{8} + 46 x^{7} - 34 x^{6} - 32 x^{5} + 32 x^{4} - 20 x^{3} + 9 x - 3$	$17$	[1,8]	$2^{41}\cdot 3^{25}$	$2$	$26.770866167774575$				?	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$1860535.6396997238$
17.1.200...521.1	$x^{17} - 2 x^{16} + 4 x^{15} - 18 x^{14} + 10 x^{13} - 16 x^{12} + 44 x^{11} + 10 x^{10} + 72 x^{9} + 18 x^{8} + 134 x^{7} + 88 x^{6} + 275 x^{5} + 200 x^{4} + 220 x^{3} + 240 x^{2} + 80 x + 64$	$17$	[1,8]	$1091^{8}$	$1$	$26.8883769874$	$33.03028912982749$				$D_{17}$ (as 17T2)	trivial	$2$	$8$	$1757145.67579$
17.1.241...529.1	$x^{17} + 2 x - 1$	$17$	[1,8]	$71437\cdot 234281\cdot 144516666425357$	$3$	$27.1849244342$	$1555210236428.228$			✓	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$452764.206499$
17.1.656...064.1	$x^{17} + 4 x - 4$	$17$	[1,8]	$2^{16}\cdot 3\cdot 33371379191895369283$	$3$	$28.8285021943$	$19211888352.29255$			?	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$745858.628066$
17.1.105...401.1	$x^{17} - 3 x^{16} - 2 x^{15} + 24 x^{14} - 20 x^{13} - 80 x^{12} + 115 x^{11} + 27 x^{10} + 132 x^{9} - 302 x^{8} - 219 x^{7} - 172 x^{6} + 41 x^{5} - 25 x^{4} + 44 x^{3} + 39 x^{2} - 2 x - 23$	$17$	[1,8]	$17^{8}\cdot 79^{8}$	$2$	$29.6507559794$	$36.64696440361739$			?	$D_{17}$ (as 17T2)	trivial	$2$	$8$	$663161.006215$
17.1.160...625.1	$x^{17} - 4 x^{16} + x^{15} + 16 x^{14} - 30 x^{13} - 2 x^{12} + 88 x^{11} + 143 x^{10} + 133 x^{9} - 515 x^{8} - 803 x^{7} - 68 x^{6} + 1252 x^{5} + 2972 x^{4} + 2855 x^{3} + 1505 x^{2} + 550 x + 125$	$17$	[1,8]	$5^{8}\cdot 283^{8}$	$2$	$30.3884754664$	$37.61648574760805$				$D_{17}$ (as 17T2)	trivial	$2$	$8$	$2534195.05633$
17.1.348...321.1	$x^{17} - 2 x^{16} - 3 x^{14} + 24 x^{13} + 18 x^{12} - 138 x^{10} - 203 x^{9} - 75 x^{8} + 352 x^{7} + 588 x^{6} + 384 x^{5} + 132 x^{4} + 493 x^{3} + 1015 x^{2} + 874 x + 337$	$17$	[1,8]	$1559^{8}$	$1$	$31.8064953944$	$39.48417404479927$			?	$D_{17}$ (as 17T2)	trivial	$2$	$8$	$432952.23952$
17.1.371...761.1	$x^{17} - x^{16} + 5 x^{15} + 9 x^{14} - 13 x^{13} + 17 x^{12} + 56 x^{11} - 62 x^{10} + 55 x^{9} - 535 x^{8} + 181 x^{7} - 1027 x^{6} + 661 x^{5} - 1041 x^{4} + 166 x^{3} - 416 x^{2} - 88 x - 16$	$17$	[1,8]	$1571^{8}$	$1$	$31.921472057$	$39.63584236521283$				$D_{17}$ (as 17T2)	trivial	$2$	$8$	$8867681.2165$
17.5.374...388.1	$x^{17} - x^{16} - 4 x^{15} + 4 x^{14} + 6 x^{13} - 6 x^{12} - 8 x^{11} + 8 x^{10} + 9 x^{9} - 7 x^{8} - 9 x^{7} + 3 x^{6} + 9 x^{5} - 2 x^{4} - 6 x^{3} + 4 x^{2} + 2 x - 1$	$17$	[5,6]	$2^{2}\cdot 9368869340728638677625097$	$2$	$31.9402321982$	$4858813784474.296$			?	$S_{17}$ (as 17T10)	trivial	$2$	$10$	$3367432.32884$
17.1.445...464.1	$x^{17} - 4 x^{9} - 18 x^{6} - 12 x^{3} + 4 x - 2$	$17$	[1,8]	$2^{16}\cdot 3\cdot 271\cdot 835997920414096373$	$4$	$32.2664740609$	$50057622659.30103$			?	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$1877308.99113$
17.5.478...988.1	$x^{17} - 2 x^{16} - 2 x^{15} + 9 x^{14} - 8 x^{13} - 6 x^{12} + 22 x^{11} - 20 x^{10} - 4 x^{9} + 23 x^{8} - 20 x^{7} + 7 x^{6} + x^{5} - 11 x^{4} + 11 x^{3} - x^{2} - 3 x + 1$	$17$	[5,6]	$2^{2}\cdot 71\cdot 113\cdot 398023\cdot 3743302227733793$	$5$	$32.4012931788$	$5488284177909.384$			?	$S_{17}$ (as 17T10)	trivial	$2$	$10$	$4697339.96204$
17.1.517...520.1	$x^{17} - 2 x - 2$	$17$	[1,8]	$2^{16}\cdot 3\cdot 5\cdot 379\cdot 139023179197698797$	$5$	$32.5541036629$	$53979790073.92283$			✓	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$2311817.81868$
17.1.542...256.1	$x^{17} - x - 2$	$17$	[1,8]	$2^{16}\cdot 2387563\cdot 346478807223667$	$3$	$32.6415866997$				✓	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$3196176.23159$
17.1.542...216.1	$x^{17} - x - 4$	$17$	[1,8]	$2^{16}\cdot 67\cdot 12346869580328982043$	$3$	$32.6415873531$				?	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$1828919.01859$
17.1.542...872.1	$x^{17} - 2$	$17$	[1,8]	$2^{16}\cdot 17^{17}$	$2$	$32.6415873531$	$38.16162936825564$			✓	$F_{17}$ (as 17T5)	trivial	$2$	$8$	$2966240.41128$
17.1.566...224.1	$x^{17} + 2 x - 2$	$17$	[1,8]	$2^{16}\cdot 23\cdot 37\cdot 67\cdot 15155721101316377$	$5$	$32.7254732116$	$56443356590.24881$			✓	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$1744681.36197$
17.1.584...121.1	$x^{17} - 2 x^{16} + 9 x^{15} - 23 x^{14} + 59 x^{13} - 112 x^{12} + 156 x^{11} - 49 x^{10} + 221 x^{9} - 25 x^{8} - 162 x^{7} - 4 x^{6} + 553 x^{5} + 1435 x^{4} + 1716 x^{3} + 1462 x^{2} + 615 x + 225$	$17$	[1,8]	$1663^{8}$	$1$	$32.7879300307$	$40.779897008207364$				$D_{17}$ (as 17T2)	trivial	$2$	$8$	$3798575.81941$
17.1.638...280.1	$x^{17} + 4 x^{9} - 18 x^{6} + 12 x^{3} + 4 x - 2$	$17$	[1,8]	$2^{16}\cdot 5\cdot 7\cdot 27851834699314662203$	$4$	$32.9583006276$	$59949183925.2028$			?	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$2034427.1525$
17.1.922...049.1	$x^{17} - 34 x^{14} - 68 x^{13} + 17 x^{12} + 323 x^{11} + 884 x^{10} + 1241 x^{9} + 1394 x^{8} + 1003 x^{7} + 935 x^{6} + 663 x^{5} + 901 x^{4} + 578 x^{3} + 493 x^{2} + 136 x + 57$	$17$	[1,8]	$3^{8}\cdot 17^{18}$	$2$	$33.6787464993$	$40.245824295791174$				$C_{17}:C_{8}$ (as 17T4)	trivial	$2$	$8$	$4992205.48619$
17.1.102...241.1	$x^{17} - 7 x^{16} + 30 x^{15} - 61 x^{14} + 115 x^{13} - 158 x^{12} + 94 x^{11} - 111 x^{10} + 268 x^{9} - 411 x^{8} + 465 x^{7} - 473 x^{6} + 314 x^{5} - 109 x^{4} + 446 x^{3} - 498 x^{2} + 175 x + 1$	$17$	[1,8]	$1783^{8}$	$1$	$33.8807935119$	$42.22558466143482$				$D_{17}$ (as 17T2)	trivial	$2$	$8$	$4818947.77807$
17.1.133...504.1	$x^{17} - 3 x^{16} - 4 x^{14} + 12 x^{13} + 24 x^{12} + 12 x^{11} - 28 x^{10} - 90 x^{9} - 74 x^{8} + 116 x^{6} + 132 x^{5} + 72 x^{4} + 28 x^{3} + 12 x^{2} + 5 x + 1$	$17$	[1,8]	$2^{30}\cdot 137^{8}$	$2$	$34.4147774247$				?	$\PSL(2,16)$ (as 17T6)	$[15]$	$2$	$8$	$810656.541895$
17.1.323...625.1	$x^{17} + 17 x^{15} + 119 x^{13} + 442 x^{11} + 935 x^{9} + 1122 x^{7} + 714 x^{5} + 204 x^{3} + 17 x - 1$	$17$	[1,8]	$5^{8}\cdot 17^{17}$	$2$	$36.2556739236$	$44.44158735609407$			✓	$F_{17}$ (as 17T5)	trivial	$2$	$8$	$7413165.64743$
17.3.725...168.1	$x^{17} - 3 x^{16} + 3 x^{15} - 17 x^{14} + 27 x^{13} + 27 x^{12} + 85 x^{11} - 303 x^{10} + 141 x^{9} - 35 x^{8} + 609 x^{7} - 1599 x^{6} + 985 x^{5} + 513 x^{4} + 1935 x^{3} - 3869 x^{2} + 1272 x - 48$	$17$	[3,7]	$-\,2^{29}\cdot 3^{38}$	$2$	$38.021398883521194$					$S_{17}$ (as 17T10)	trivial	$2$	$9$	$111003394.88977265$
17.1.861...144.1	$x^{17} - x^{16} - 4 x^{15} + 2 x^{14} + 54 x^{13} - 6 x^{12} - 36 x^{11} + 16 x^{10} + 714 x^{9} + 1238 x^{8} + 484 x^{7} - 764 x^{6} - 1084 x^{5} + 520 x^{4} + 668 x^{3} - 776 x^{2} + 382 x - 74$	$17$	[1,8]	$2^{30}\cdot 173^{8}$	$2$	$38.408519781$				?	$\PSL(2,16)$ (as 17T6)	$[15]$	$2$	$8$	$781146.759847$
17.1.151...681.1	$x^{17} + 3 x - 3$	$17$	[1,8]	$3^{16}\cdot 35388253\cdot 997597133837$	$3$	$39.712454379$	$16709461602.49277$			?	$S_{17}$ (as 17T10)	trivial	$2$	$8$	$10106858.0011$
17.13.223...557.1	$x^{17} - x^{16} - 17 x^{15} + 17 x^{14} + 112 x^{13} - 115 x^{12} - 356 x^{11} + 389 x^{10} + 547 x^{9} - 675 x^{8} - 342 x^{7} + 560 x^{6} + 27 x^{5} - 205 x^{4} + 42 x^{3} + 24 x^{2} - 10 x + 1$	$17$	[13,2]	$3^{3}\cdot 205542871\cdot 402308340646912121$	$3$	$40.6213567441$	$20728681017507.81$			?	$S_{17}$ (as 17T10)	trivial	$2$	$14$	$129255854.893$