Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(136,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.et (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 145.1 | ||
Character | \(\chi\) | \(=\) | 819.145 |
Dual form | 819.2.et.c.514.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.92842 | + | 1.92842i | −1.36360 | + | 1.36360i | −0.494319 | + | 0.869281i | \(0.664583\pi\) |
−0.869281 | + | 0.494319i | \(0.835417\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | − | 5.43762i | − | 2.71881i | ||||||
\(5\) | 3.41458 | − | 0.914933i | 1.52704 | − | 0.409170i | 0.604991 | − | 0.796232i | \(-0.293177\pi\) |
0.922054 | + | 0.387062i | \(0.126510\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.45097 | − | 0.996354i | 0.926381 | − | 0.376587i | ||||
\(8\) | 6.62917 | + | 6.62917i | 2.34377 | + | 2.34377i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.82036 | + | 8.34912i | −1.52433 | + | 2.64022i | ||||
\(11\) | 0.426935 | − | 0.114397i | 0.128726 | − | 0.0344920i | −0.193881 | − | 0.981025i | \(-0.562108\pi\) |
0.322607 | + | 0.946533i | \(0.395441\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.60449 | − | 0.0874303i | 0.999706 | − | 0.0242488i | ||||
\(14\) | −2.80512 | + | 6.64790i | −0.749700 | + | 1.77673i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −14.6924 | −3.67311 | ||||||||
\(17\) | −1.43104 | −0.347078 | −0.173539 | − | 0.984827i | \(-0.555520\pi\) | ||||
−0.173539 | + | 0.984827i | \(0.555520\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.340943 | − | 1.27242i | 0.0782176 | − | 0.291912i | −0.915726 | − | 0.401803i | \(-0.868384\pi\) |
0.993944 | + | 0.109891i | \(0.0350502\pi\) | |||||||
\(20\) | −4.97505 | − | 18.5671i | −1.11246 | − | 4.15174i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.602706 | + | 1.04392i | −0.128497 | + | 0.222564i | ||||
\(23\) | 7.18790i | 1.49878i | 0.662129 | + | 0.749390i | \(0.269653\pi\) | ||||
−0.662129 | + | 0.749390i | \(0.730347\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.49210 | − | 3.74822i | 1.29842 | − | 0.749643i | ||||
\(26\) | −6.78237 | + | 7.11958i | −1.33013 | + | 1.39626i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.41779 | − | 13.3275i | −1.02387 | − | 2.51865i | ||||
\(29\) | −3.82097 | − | 6.61812i | −0.709537 | − | 1.22895i | −0.965029 | − | 0.262143i | \(-0.915571\pi\) |
0.255492 | − | 0.966811i | \(-0.417762\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.187215 | − | 0.698697i | 0.0336249 | − | 0.125490i | −0.947073 | − | 0.321017i | \(-0.895975\pi\) |
0.980698 | + | 0.195528i | \(0.0626419\pi\) | |||||||
\(32\) | 15.0748 | − | 15.0748i | 2.66488 | − | 2.66488i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.75965 | − | 2.75965i | 0.473276 | − | 0.473276i | ||||
\(35\) | 7.45744 | − | 5.64460i | 1.26054 | − | 0.954112i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.719109 | + | 0.719109i | 0.118221 | + | 0.118221i | 0.763742 | − | 0.645521i | \(-0.223360\pi\) |
−0.645521 | + | 0.763742i | \(0.723360\pi\) | |||||||
\(38\) | 1.79627 | + | 3.11123i | 0.291394 | + | 0.504709i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 28.7010 | + | 16.5706i | 4.53803 | + | 2.62003i | ||||
\(41\) | 0.748673 | − | 2.79409i | 0.116923 | − | 0.436363i | −0.882500 | − | 0.470312i | \(-0.844142\pi\) |
0.999424 | + | 0.0339485i | \(0.0108082\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.20261 | + | 4.15843i | 1.09839 | + | 0.634155i | 0.935797 | − | 0.352539i | \(-0.114682\pi\) |
0.162591 | + | 0.986694i | \(0.448015\pi\) | |||||||
\(44\) | −0.622047 | − | 2.32151i | −0.0937771 | − | 0.349981i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −13.8613 | − | 13.8613i | −2.04374 | − | 2.04374i | ||||
\(47\) | −0.242840 | − | 0.906290i | −0.0354218 | − | 0.132196i | 0.945951 | − | 0.324310i | \(-0.105132\pi\) |
−0.981373 | + | 0.192114i | \(0.938466\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.01456 | − | 4.88408i | 0.716365 | − | 0.697726i | ||||
\(50\) | −5.29136 | + | 19.7476i | −0.748312 | + | 2.79274i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.475412 | − | 19.5998i | −0.0659278 | − | 2.71801i | ||||
\(53\) | −2.48381 | − | 4.30208i | −0.341177 | − | 0.590936i | 0.643474 | − | 0.765468i | \(-0.277492\pi\) |
−0.984652 | + | 0.174531i | \(0.944159\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.35314 | − | 0.781234i | 0.182457 | − | 0.105342i | ||||
\(56\) | 22.8529 | + | 9.64293i | 3.05385 | + | 1.28859i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 20.1310 | + | 5.39408i | 2.64332 | + | 0.708277i | ||||
\(59\) | 2.29996 | − | 2.29996i | 0.299429 | − | 0.299429i | −0.541361 | − | 0.840790i | \(-0.682091\pi\) |
0.840790 | + | 0.541361i | \(0.182091\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −11.2736 | + | 6.50883i | −1.44344 | + | 0.833370i | −0.998077 | − | 0.0619805i | \(-0.980258\pi\) |
−0.445362 | + | 0.895351i | \(0.646925\pi\) | |||||||
\(62\) | 0.986352 | + | 1.70841i | 0.125267 | + | 0.216969i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 28.7565i | 3.59456i | ||||||||
\(65\) | 12.2278 | − | 3.59640i | 1.51667 | − | 0.446079i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.64481 | + | 6.13851i | 0.200945 | + | 0.749939i | 0.990647 | + | 0.136448i | \(0.0435686\pi\) |
−0.789702 | + | 0.613491i | \(0.789765\pi\) | |||||||
\(68\) | 7.78144i | 0.943639i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.49591 | + | 25.2663i | −0.417842 | + | 3.01990i | ||||
\(71\) | −0.487730 | − | 1.82023i | −0.0578829 | − | 0.216022i | 0.930926 | − | 0.365207i | \(-0.119002\pi\) |
−0.988809 | + | 0.149185i | \(0.952335\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.2890 | − | 3.29282i | −1.43832 | − | 0.385396i | −0.546373 | − | 0.837542i | \(-0.683992\pi\) |
−0.891944 | + | 0.452146i | \(0.850659\pi\) | |||||||
\(74\) | −2.77349 | −0.322412 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.91890 | − | 1.85391i | −0.793653 | − | 0.212659i | ||||
\(77\) | 0.932428 | − | 0.705763i | 0.106260 | − | 0.0804292i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.77054 | + | 3.06666i | −0.199201 | + | 0.345026i | −0.948270 | − | 0.317466i | \(-0.897168\pi\) |
0.749069 | + | 0.662493i | \(0.230501\pi\) | |||||||
\(80\) | −50.1684 | + | 13.4426i | −5.60900 | + | 1.50293i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.94442 | + | 6.83193i | 0.435588 | + | 0.754461i | ||||
\(83\) | −2.33307 | − | 2.33307i | −0.256087 | − | 0.256087i | 0.567373 | − | 0.823461i | \(-0.307960\pi\) |
−0.823461 | + | 0.567373i | \(0.807960\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.88639 | + | 1.30931i | −0.530004 | + | 0.142014i | ||||
\(86\) | −21.9089 | + | 5.87046i | −2.36249 | + | 0.633028i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.58858 | + | 2.07187i | 0.382544 | + | 0.220862i | ||||
\(89\) | −7.39789 | + | 7.39789i | −0.784175 | + | 0.784175i | −0.980532 | − | 0.196357i | \(-0.937089\pi\) |
0.196357 | + | 0.980532i | \(0.437089\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.74741 | − | 3.80564i | 0.916977 | − | 0.398939i | ||||
\(92\) | 39.0850 | 4.07489 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.21601 | + | 1.27941i | 0.228563 | + | 0.131961i | ||||
\(95\) | − | 4.65670i | − | 0.477767i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.51514 | + | 0.673929i | −0.255373 | + | 0.0684271i | −0.384234 | − | 0.923236i | \(-0.625535\pi\) |
0.128861 | + | 0.991663i | \(0.458868\pi\) | |||||||
\(98\) | −0.251615 | + | 19.0887i | −0.0254170 | + | 1.92825i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −20.3814 | − | 35.3015i | −2.03814 | − | 3.53015i | ||||
\(101\) | −0.722867 | + | 1.25204i | −0.0719279 | + | 0.124583i | −0.899746 | − | 0.436413i | \(-0.856248\pi\) |
0.827818 | + | 0.560996i | \(0.189582\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.70272 | − | 11.6095i | 0.660439 | − | 1.14391i | −0.320061 | − | 0.947397i | \(-0.603704\pi\) |
0.980500 | − | 0.196517i | \(-0.0629631\pi\) | |||||||
\(104\) | 24.4744 | + | 23.3152i | 2.39991 | + | 2.28624i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.0860 | + | 3.50640i | 1.27103 | + | 0.340571i | ||||
\(107\) | −1.88975 | −0.182689 | −0.0913447 | − | 0.995819i | \(-0.529117\pi\) | ||||
−0.0913447 | + | 0.995819i | \(0.529117\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.12442 | + | 1.90898i | 0.682396 | + | 0.182847i | 0.583332 | − | 0.812234i | \(-0.301749\pi\) |
0.0990637 | + | 0.995081i | \(0.468415\pi\) | |||||||
\(110\) | −1.10287 | + | 4.11597i | −0.105155 | + | 0.392442i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −36.0108 | + | 14.6389i | −3.40270 | + | 1.38324i | ||||
\(113\) | 3.09382 | − | 5.35865i | 0.291042 | − | 0.504100i | −0.683014 | − | 0.730405i | \(-0.739331\pi\) |
0.974056 | + | 0.226305i | \(0.0726647\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.57644 | + | 24.5436i | 0.613256 | + | 2.28870i | ||||
\(116\) | −35.9868 | + | 20.7770i | −3.34129 | + | 1.92909i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.87058i | 0.816603i | ||||||||
\(119\) | −3.50744 | + | 1.42582i | −0.321527 | + | 0.130705i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.35709 | + | 5.40232i | −0.850645 | + | 0.491120i | ||||
\(122\) | 9.18853 | − | 34.2921i | 0.831890 | − | 3.10466i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.79925 | − | 1.01800i | −0.341182 | − | 0.0914195i | ||||
\(125\) | 6.24018 | − | 6.24018i | 0.558139 | − | 0.558139i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.90231 | − | 3.40770i | 0.523745 | − | 0.302384i | −0.214721 | − | 0.976676i | \(-0.568884\pi\) |
0.738466 | + | 0.674291i | \(0.235551\pi\) | |||||||
\(128\) | −25.3048 | − | 25.3048i | −2.23665 | − | 2.23665i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −16.6450 | + | 30.5158i | −1.45986 | + | 2.67641i | ||||
\(131\) | 3.17967 | + | 1.83578i | 0.277809 | + | 0.160393i | 0.632431 | − | 0.774617i | \(-0.282057\pi\) |
−0.354622 | + | 0.935010i | \(0.615390\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.432135 | − | 3.45836i | −0.0374708 | − | 0.299878i | ||||
\(134\) | −15.0095 | − | 8.66575i | −1.29662 | − | 0.748607i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.48660 | − | 9.48660i | −0.813470 | − | 0.813470i | ||||
\(137\) | 5.57408 | + | 5.57408i | 0.476225 | + | 0.476225i | 0.903922 | − | 0.427697i | \(-0.140675\pi\) |
−0.427697 | + | 0.903922i | \(0.640675\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.3222 | + | 5.95952i | 0.875517 | + | 0.505480i | 0.869178 | − | 0.494500i | \(-0.164649\pi\) |
0.00633943 | + | 0.999980i | \(0.497982\pi\) | |||||||
\(140\) | −30.6932 | − | 40.5507i | −2.59405 | − | 3.42716i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.45073 | + | 2.56963i | 0.373497 | + | 0.215638i | ||||
\(143\) | 1.52888 | − | 0.449670i | 0.127852 | − | 0.0376033i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −19.1021 | − | 19.1021i | −1.58635 | − | 1.58635i | ||||
\(146\) | 30.0483 | − | 17.3484i | 2.48681 | − | 1.43576i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.91024 | − | 3.91024i | 0.321420 | − | 0.321420i | ||||
\(149\) | 21.0304 | + | 5.63507i | 1.72287 | + | 0.461643i | 0.978522 | − | 0.206144i | \(-0.0660914\pi\) |
0.744353 | + | 0.667787i | \(0.232758\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.61340 | + | 13.4854i | −0.294054 | + | 1.09742i | 0.647912 | + | 0.761715i | \(0.275643\pi\) |
−0.941966 | + | 0.335709i | \(0.891024\pi\) | |||||||
\(152\) | 10.6952 | − | 6.17489i | 0.867497 | − | 0.500850i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.437105 | + | 3.15912i | −0.0352230 | + | 0.254569i | ||||
\(155\) | − | 2.55704i | − | 0.205387i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.9689 | − | 7.48759i | 1.03503 | − | 0.597574i | 0.116608 | − | 0.993178i | \(-0.462798\pi\) |
0.918421 | + | 0.395604i | \(0.129465\pi\) | |||||||
\(158\) | −2.49947 | − | 9.32816i | −0.198847 | − | 0.742108i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 37.6817 | − | 65.2667i | 2.97900 | − | 5.15978i | ||||
\(161\) | 7.16169 | + | 17.6174i | 0.564420 | + | 1.38844i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.28941 | + | 8.54420i | −0.179320 | + | 0.669233i | 0.816455 | + | 0.577409i | \(0.195936\pi\) |
−0.995775 | + | 0.0918237i | \(0.970730\pi\) | |||||||
\(164\) | −15.1932 | − | 4.07100i | −1.18639 | − | 0.317891i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.99827 | 0.698401 | ||||||||
\(167\) | 0.331336 | + | 0.0887813i | 0.0256396 | + | 0.00687010i | 0.271616 | − | 0.962406i | \(-0.412442\pi\) |
−0.245976 | + | 0.969276i | \(0.579109\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.9847 | − | 0.630284i | 0.998824 | − | 0.0484833i | ||||
\(170\) | 6.89813 | − | 11.9479i | 0.529063 | − | 0.916363i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 22.6119 | − | 39.1650i | 1.72414 | − | 2.98631i | ||||
\(173\) | −4.62536 | − | 8.01137i | −0.351660 | − | 0.609093i | 0.634880 | − | 0.772610i | \(-0.281049\pi\) |
−0.986540 | + | 0.163517i | \(0.947716\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.1774 | − | 15.6552i | 0.920527 | − | 1.18342i | ||||
\(176\) | −6.27272 | + | 1.68077i | −0.472824 | + | 0.126693i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 28.5325i | − | 2.13860i | ||||||
\(179\) | 12.6486 | + | 7.30269i | 0.945403 | + | 0.545829i | 0.891650 | − | 0.452725i | \(-0.149548\pi\) |
0.0537533 | + | 0.998554i | \(0.482882\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.63806 | −0.642062 | −0.321031 | − | 0.947069i | \(-0.604029\pi\) | ||||
−0.321031 | + | 0.947069i | \(0.604029\pi\) | |||||||
\(182\) | −9.52981 | + | 24.2076i | −0.706396 | + | 1.79438i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −47.6498 | + | 47.6498i | −3.51279 | + | 3.51279i | ||||
\(185\) | 3.11339 | + | 1.79752i | 0.228901 | + | 0.132156i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.610962 | + | 0.163707i | −0.0446779 | + | 0.0119714i | ||||
\(188\) | −4.92806 | + | 1.32047i | −0.359415 | + | 0.0963051i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.98007 | + | 8.98007i | 0.651483 | + | 0.651483i | ||||
\(191\) | −3.52411 | − | 6.10394i | −0.254996 | − | 0.441666i | 0.709899 | − | 0.704304i | \(-0.248741\pi\) |
−0.964894 | + | 0.262638i | \(0.915407\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −22.3236 | + | 5.98160i | −1.60689 | + | 0.430565i | −0.947114 | − | 0.320897i | \(-0.896016\pi\) |
−0.659776 | + | 0.751462i | \(0.729349\pi\) | |||||||
\(194\) | 3.55062 | − | 6.14986i | 0.254920 | − | 0.441534i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −26.5577 | − | 27.2672i | −1.89698 | − | 1.94766i | ||||
\(197\) | 18.7705 | + | 5.02954i | 1.33734 | + | 0.358340i | 0.855448 | − | 0.517889i | \(-0.173282\pi\) |
0.481895 | + | 0.876229i | \(0.339949\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.8108 | 1.26257 | 0.631285 | − | 0.775551i | \(-0.282528\pi\) | ||||
0.631285 | + | 0.775551i | \(0.282528\pi\) | |||||||
\(200\) | 67.8848 | + | 18.1897i | 4.80018 | + | 1.28620i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.02047 | − | 3.80846i | −0.0718002 | − | 0.267962i | ||||
\(203\) | −15.9591 | − | 12.4138i | −1.12011 | − | 0.871278i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 10.2256i | − | 0.714187i | ||||||
\(206\) | 9.46225 | + | 35.3136i | 0.659266 | + | 2.46041i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −52.9587 | + | 1.28456i | −3.67203 | + | 0.0890685i | ||||
\(209\) | − | 0.582242i | − | 0.0402745i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.03848 | − | 8.72690i | −0.346863 | − | 0.600785i | 0.638827 | − | 0.769350i | \(-0.279420\pi\) |
−0.985690 | + | 0.168565i | \(0.946087\pi\) | |||||||
\(212\) | −23.3931 | + | 13.5060i | −1.60664 | + | 0.927595i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.64424 | − | 3.64424i | 0.249115 | − | 0.249115i | ||||
\(215\) | 28.3985 | + | 7.60937i | 1.93676 | + | 0.518955i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.237290 | − | 1.89902i | −0.0161083 | − | 0.128914i | ||||
\(218\) | −17.4202 | + | 10.0576i | −1.17985 | + | 0.681184i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.24805 | − | 7.35784i | −0.286404 | − | 0.496066i | ||||
\(221\) | −5.15817 | + | 0.125116i | −0.346976 | + | 0.00841623i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.246185 | − | 0.918774i | 0.0164857 | − | 0.0615256i | −0.957193 | − | 0.289451i | \(-0.906527\pi\) |
0.973679 | + | 0.227925i | \(0.0731941\pi\) | |||||||
\(224\) | 21.9282 | − | 51.9680i | 1.46514 | − | 3.47226i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.36755 | + | 16.2999i | 0.290525 | + | 1.08425i | ||||
\(227\) | −17.3431 | − | 17.3431i | −1.15110 | − | 1.15110i | −0.986333 | − | 0.164766i | \(-0.947313\pi\) |
−0.164766 | − | 0.986333i | \(-0.552687\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.33978 | − | 19.9283i | −0.352863 | − | 1.31690i | −0.883153 | − | 0.469085i | \(-0.844584\pi\) |
0.530290 | − | 0.847816i | \(-0.322083\pi\) | |||||||
\(230\) | −60.0126 | − | 34.6483i | −3.95711 | − | 2.28464i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.5428 | − | 69.2025i | 1.21739 | − | 4.54337i | ||||
\(233\) | −19.6906 | − | 11.3684i | −1.28998 | − | 0.744768i | −0.311326 | − | 0.950303i | \(-0.600773\pi\) |
−0.978650 | + | 0.205536i | \(0.934106\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.65839 | − | 2.87241i | −0.108181 | − | 0.187376i | ||||
\(236\) | −12.5063 | − | 12.5063i | −0.814091 | − | 0.814091i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.01424 | − | 9.51341i | 0.260205 | − | 0.616663i | ||||
\(239\) | −20.7640 | + | 20.7640i | −1.34311 | + | 1.34311i | −0.450171 | + | 0.892943i | \(0.648637\pi\) |
−0.892943 | + | 0.450171i | \(0.851363\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.79541 | + | 4.79541i | −0.308900 | + | 0.308900i | −0.844483 | − | 0.535583i | \(-0.820092\pi\) |
0.535583 | + | 0.844483i | \(0.320092\pi\) | |||||||
\(242\) | 7.62647 | − | 28.4624i | 0.490248 | − | 1.82963i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 35.3925 | + | 61.3016i | 2.26577 | + | 3.92443i | ||||
\(245\) | 12.6540 | − | 21.2650i | 0.808433 | − | 1.35857i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.11768 | − | 4.61622i | 0.0711161 | − | 0.293723i | ||||
\(248\) | 5.87286 | − | 3.39070i | 0.372927 | − | 0.215310i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 24.0674i | 1.52216i | ||||||||
\(251\) | −2.83547 | + | 4.91118i | −0.178973 | + | 0.309991i | −0.941529 | − | 0.336932i | \(-0.890611\pi\) |
0.762556 | + | 0.646922i | \(0.223944\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.822274 | + | 3.06877i | 0.0516959 | + | 0.192932i | ||||
\(254\) | −4.81065 | + | 17.9536i | −0.301847 | + | 1.12651i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 40.0839 | 2.50524 | ||||||||
\(257\) | −1.19397 | −0.0744781 | −0.0372390 | − | 0.999306i | \(-0.511856\pi\) | ||||
−0.0372390 | + | 0.999306i | \(0.511856\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.47901 | + | 1.04603i | 0.154038 | + | 0.0649972i | ||||
\(260\) | −19.5559 | − | 66.4902i | −1.21280 | − | 4.12354i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.67191 | + | 2.59158i | −0.597533 | + | 0.160108i | ||||
\(263\) | −12.0587 | + | 20.8862i | −0.743569 | + | 1.28790i | 0.207292 | + | 0.978279i | \(0.433535\pi\) |
−0.950861 | + | 0.309619i | \(0.899798\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.4173 | − | 12.4173i | −0.762786 | − | 0.762786i | ||||
\(266\) | 7.50251 | + | 5.83583i | 0.460008 | + | 0.357818i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 33.3789 | − | 8.94384i | 2.03894 | − | 0.546332i | ||||
\(269\) | 18.4510i | 1.12498i | 0.826804 | + | 0.562490i | \(0.190156\pi\) | ||||
−0.826804 | + | 0.562490i | \(0.809844\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.695084 | − | 0.695084i | 0.0422234 | − | 0.0422234i | −0.685680 | − | 0.727903i | \(-0.740495\pi\) |
0.727903 | + | 0.685680i | \(0.240495\pi\) | |||||||
\(272\) | 21.0254 | 1.27486 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −21.4983 | −1.29876 | ||||||||
\(275\) | 2.34292 | − | 2.34292i | 0.141284 | − | 0.141284i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 18.0478i | − | 1.08439i | −0.840254 | − | 0.542194i | \(-0.817594\pi\) | ||
0.840254 | − | 0.542194i | \(-0.182406\pi\) | |||||||
\(278\) | −31.3980 | + | 8.41307i | −1.88313 | + | 0.504582i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 86.8557 | + | 12.0176i | 5.19062 | + | 0.718189i | ||||
\(281\) | −15.4188 | − | 15.4188i | −0.919807 | − | 0.919807i | 0.0772077 | − | 0.997015i | \(-0.475400\pi\) |
−0.997015 | + | 0.0772077i | \(0.975400\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.7360 | + | 23.7915i | −0.816521 | + | 1.41426i | 0.0917093 | + | 0.995786i | \(0.470767\pi\) |
−0.908230 | + | 0.418470i | \(0.862566\pi\) | |||||||
\(284\) | −9.89773 | + | 2.65209i | −0.587323 | + | 0.157373i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.08118 | + | 3.81548i | −0.123063 | + | 0.225614i | ||||
\(287\) | −0.948921 | − | 7.59418i | −0.0560130 | − | 0.448270i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.9521 | −0.879537 | ||||||||
\(290\) | 73.6739 | 4.32628 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −17.9051 | + | 66.8228i | −1.04782 | + | 3.91051i | ||||
\(293\) | −2.03171 | − | 7.58244i | −0.118694 | − | 0.442971i | 0.880843 | − | 0.473409i | \(-0.156977\pi\) |
−0.999537 | + | 0.0304377i | \(0.990310\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.74908 | − | 9.95770i | 0.334724 | − | 0.579760i | ||||
\(296\) | 9.53419i | 0.554163i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −51.4222 | + | 29.6886i | −2.97881 | + | 1.71982i | ||||
\(299\) | 0.628440 | + | 25.9087i | 0.0363436 | + | 1.49834i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 21.7967 | + | 3.01585i | 1.25634 | + | 0.173831i | ||||
\(302\) | −19.0373 | − | 32.9736i | −1.09548 | − | 1.89742i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.00927 | + | 18.6949i | −0.287302 | + | 1.07222i | ||||
\(305\) | −32.5395 | + | 32.5395i | −1.86321 | + | 1.86321i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −16.1223 | + | 16.1223i | −0.920147 | + | 0.920147i | −0.997039 | − | 0.0768923i | \(-0.975500\pi\) |
0.0768923 | + | 0.997039i | \(0.475500\pi\) | |||||||
\(308\) | −3.83767 | − | 5.07019i | −0.218671 | − | 0.288901i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.93106 | + | 4.93106i | 0.280065 | + | 0.280065i | ||||
\(311\) | 2.75580 | + | 4.77319i | 0.156267 | + | 0.270663i | 0.933520 | − | 0.358526i | \(-0.116721\pi\) |
−0.777253 | + | 0.629189i | \(0.783387\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 16.8101 | + | 9.70534i | 0.950165 | + | 0.548578i | 0.893132 | − | 0.449794i | \(-0.148503\pi\) |
0.0570329 | + | 0.998372i | \(0.481836\pi\) | |||||||
\(314\) | −10.5702 | + | 39.4487i | −0.596513 | + | 2.22622i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 16.6753 | + | 9.62750i | 0.938060 | + | 0.541589i | ||||
\(317\) | −7.26716 | − | 27.1214i | −0.408164 | − | 1.52329i | −0.798144 | − | 0.602467i | \(-0.794185\pi\) |
0.389980 | − | 0.920823i | \(-0.372482\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.38840 | − | 2.38840i | −0.133725 | − | 0.133725i | ||||
\(320\) | 26.3102 | + | 98.1911i | 1.47079 | + | 5.48905i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −47.7844 | − | 20.1629i | −2.66292 | − | 1.12364i | ||||
\(323\) | −0.487902 | + | 1.82088i | −0.0271476 | + | 0.101316i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 23.0730 | − | 14.0780i | 1.27986 | − | 0.780908i | ||||
\(326\) | −12.0619 | − | 20.8918i | −0.668045 | − | 1.15709i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 23.4856 | − | 13.5594i | 1.29677 | − | 0.748692i | ||||
\(329\) | −1.49818 | − | 1.97934i | −0.0825973 | − | 0.109125i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.33428 | − | 1.96521i | −0.403129 | − | 0.108018i | 0.0515569 | − | 0.998670i | \(-0.483582\pi\) |
−0.454685 | + | 0.890652i | \(0.650248\pi\) | |||||||
\(332\) | −12.6863 | + | 12.6863i | −0.696252 | + | 0.696252i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.810163 | + | 0.467748i | −0.0443302 | + | 0.0255940i | ||||
\(335\) | 11.2327 | + | 19.4555i | 0.613705 | + | 1.06297i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.26189i | 0.177686i | 0.996046 | + | 0.0888431i | \(0.0283170\pi\) | ||||
−0.996046 | + | 0.0888431i | \(0.971683\pi\) | |||||||
\(338\) | −23.8245 | + | 26.2554i | −1.29588 | + | 1.42811i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 7.11950 | + | 26.5703i | 0.386109 | + | 1.44098i | ||||
\(341\) | − | 0.319715i | − | 0.0173136i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.42428 | − | 16.9670i | 0.400873 | − | 0.916133i | ||||
\(344\) | 20.1804 | + | 75.3143i | 1.08805 | + | 4.06067i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 24.3689 | + | 6.52964i | 1.31008 | + | 0.351035i | ||||
\(347\) | 30.9665 | 1.66237 | 0.831185 | − | 0.555996i | \(-0.187663\pi\) | ||||
0.831185 | + | 0.555996i | \(0.187663\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.7105 | − | 3.13781i | −0.626847 | − | 0.167963i | −0.0686086 | − | 0.997644i | \(-0.521856\pi\) |
−0.558239 | + | 0.829680i | \(0.688523\pi\) | |||||||
\(350\) | 6.70664 | + | 53.6730i | 0.358485 | + | 2.86894i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.71147 | − | 8.16050i | 0.251122 | − | 0.434956i | ||||
\(353\) | 28.4026 | − | 7.61046i | 1.51172 | − | 0.405064i | 0.594713 | − | 0.803938i | \(-0.297266\pi\) |
0.917006 | + | 0.398874i | \(0.130599\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.33078 | − | 5.76909i | −0.176780 | − | 0.306191i | ||||
\(356\) | 40.2269 | + | 40.2269i | 2.13202 | + | 2.13202i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −38.4746 | + | 10.3092i | −2.03344 | + | 0.544860i | ||||
\(359\) | −8.99331 | + | 2.40975i | −0.474649 | + | 0.127182i | −0.488210 | − | 0.872726i | \(-0.662350\pi\) |
0.0135610 | + | 0.999908i | \(0.495683\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.9517 | + | 8.63236i | 0.786931 | + | 0.454335i | ||||
\(362\) | 16.6578 | − | 16.6578i | 0.875516 | − | 0.875516i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −20.6936 | − | 47.5650i | −1.08464 | − | 2.49308i | ||||
\(365\) | −44.9744 | −2.35407 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 21.8442 | + | 12.6118i | 1.14026 | + | 0.658329i | 0.946495 | − | 0.322720i | \(-0.104597\pi\) |
0.193764 | + | 0.981048i | \(0.437930\pi\) | |||||||
\(368\) | − | 105.608i | − | 5.50518i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.47029 | + | 2.53756i | −0.492337 | + | 0.131921i | ||||
\(371\) | −10.3741 | − | 8.06954i | −0.538599 | − | 0.418950i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.524168 | + | 0.907886i | 0.0271404 | + | 0.0470086i | 0.879277 | − | 0.476312i | \(-0.158027\pi\) |
−0.852136 | + | 0.523320i | \(0.824693\pi\) | |||||||
\(374\) | 0.862496 | − | 1.49389i | 0.0445986 | − | 0.0772470i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.39812 | − | 7.61777i | 0.226816 | − | 0.392857i | ||||
\(377\) | −14.3513 | − | 23.5209i | −0.739129 | − | 1.21139i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.3006 | − | 4.09979i | −0.785941 | − | 0.210592i | −0.156539 | − | 0.987672i | \(-0.550034\pi\) |
−0.629402 | + | 0.777080i | \(0.716700\pi\) | |||||||
\(380\) | −25.3213 | −1.29896 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 18.5669 | + | 4.97500i | 0.949968 | + | 0.254543i | ||||
\(383\) | 6.72323 | − | 25.0914i | 0.343541 | − | 1.28211i | −0.550767 | − | 0.834659i | \(-0.685665\pi\) |
0.894308 | − | 0.447453i | \(-0.147669\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.53812 | − | 3.26299i | 0.129355 | − | 0.166297i | ||||
\(386\) | 31.5143 | − | 54.5844i | 1.60404 | − | 2.77827i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.66457 | + | 13.6763i | 0.186040 | + | 0.694311i | ||||
\(389\) | −20.0494 | + | 11.5755i | −1.01655 | + | 0.586903i | −0.913102 | − | 0.407732i | \(-0.866320\pi\) |
−0.103444 | + | 0.994635i | \(0.532986\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 10.2862i | − | 0.520194i | ||||||
\(392\) | 65.6197 | + | 0.864956i | 3.31430 | + | 0.0436869i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −45.8965 | + | 26.4984i | −2.31223 | + | 1.33497i | ||||
\(395\) | −3.23985 | + | 12.0913i | −0.163014 | + | 0.608378i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.4194 | − | 3.05983i | −0.573125 | − | 0.153569i | −0.0393958 | − | 0.999224i | \(-0.512543\pi\) |
−0.533730 | + | 0.845655i | \(0.679210\pi\) | |||||||
\(398\) | −34.3466 | + | 34.3466i | −1.72164 | + | 1.72164i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −95.3847 | + | 55.0704i | −4.76923 | + | 2.75352i | ||||
\(401\) | −14.7302 | − | 14.7302i | −0.735592 | − | 0.735592i | 0.236129 | − | 0.971722i | \(-0.424121\pi\) |
−0.971722 | + | 0.236129i | \(0.924121\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.613729 | − | 2.53482i | 0.0305720 | − | 0.126268i | ||||
\(404\) | 6.80812 | + | 3.93067i | 0.338717 | + | 0.195558i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 54.7149 | − | 6.83683i | 2.71545 | − | 0.339306i | ||||
\(407\) | 0.389277 | + | 0.224749i | 0.0192957 | + | 0.0111404i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.2439 | − | 11.2439i | −0.555974 | − | 0.555974i | 0.372185 | − | 0.928159i | \(-0.378609\pi\) |
−0.928159 | + | 0.372185i | \(0.878609\pi\) | |||||||
\(410\) | 19.7193 | + | 19.7193i | 0.973865 | + | 0.973865i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −63.1278 | − | 36.4468i | −3.11008 | − | 1.79561i | ||||
\(413\) | 3.34557 | − | 7.92872i | 0.164625 | − | 0.390147i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.1010 | − | 5.83183i | −0.495840 | − | 0.286274i | ||||
\(416\) | 53.0192 | − | 55.6552i | 2.59948 | − | 2.72872i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.12281 | + | 1.12281i | 0.0549183 | + | 0.0549183i | ||||
\(419\) | 4.29128 | − | 2.47757i | 0.209643 | − | 0.121037i | −0.391503 | − | 0.920177i | \(-0.628045\pi\) |
0.601145 | + | 0.799140i | \(0.294711\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.811225 | − | 0.811225i | 0.0395367 | − | 0.0395367i | −0.687062 | − | 0.726599i | \(-0.741100\pi\) |
0.726599 | + | 0.687062i | \(0.241100\pi\) | |||||||
\(422\) | 26.5455 | + | 7.11283i | 1.29221 | + | 0.346247i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.0536 | − | 44.9848i | 0.585376 | − | 2.18465i | ||||
\(425\) | −9.29045 | + | 5.36385i | −0.450653 | + | 0.260185i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −21.1463 | + | 27.1855i | −1.02334 | + | 1.31560i | ||||
\(428\) | 10.2758i | 0.496697i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −69.4384 | + | 40.0903i | −3.34862 | + | 1.93333i | ||||
\(431\) | 5.30567 | + | 19.8010i | 0.255565 | + | 0.953783i | 0.967775 | + | 0.251816i | \(0.0810278\pi\) |
−0.712210 | + | 0.701967i | \(0.752306\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.246122 | + | 0.426295i | −0.0118279 | + | 0.0204864i | −0.871879 | − | 0.489722i | \(-0.837098\pi\) |
0.860051 | + | 0.510208i | \(0.170432\pi\) | |||||||
\(434\) | 4.11971 | + | 3.20452i | 0.197752 | + | 0.153822i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 10.3803 | − | 38.7399i | 0.497127 | − | 1.85530i | ||||
\(437\) | 9.14599 | + | 2.45066i | 0.437512 | + | 0.117231i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 22.3782 | 1.06806 | 0.534028 | − | 0.845467i | \(-0.320678\pi\) | ||||
0.534028 | + | 0.845467i | \(0.320678\pi\) | |||||||
\(440\) | 14.1491 | + | 3.79124i | 0.674533 | + | 0.180740i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.70585 | − | 10.1884i | 0.461660 | − | 0.484613i | ||||
\(443\) | −4.77420 | + | 8.26916i | −0.226829 | + | 0.392880i | −0.956867 | − | 0.290527i | \(-0.906169\pi\) |
0.730038 | + | 0.683407i | \(0.239503\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −18.4921 | + | 32.0292i | −0.876609 | + | 1.51833i | ||||
\(446\) | 1.29703 | + | 2.24653i | 0.0614164 | + | 0.106376i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 28.6516 | + | 70.4813i | 1.35366 | + | 3.32993i | ||||
\(449\) | 17.1874 | − | 4.60535i | 0.811124 | − | 0.217340i | 0.170662 | − | 0.985330i | \(-0.445409\pi\) |
0.640462 | + | 0.767990i | \(0.278743\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 1.27854i | − | 0.0602041i | ||||||
\(452\) | −29.1383 | − | 16.8230i | −1.37055 | − | 0.791287i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 66.8894 | 3.13928 | ||||||||
\(455\) | 26.3868 | − | 20.9979i | 1.23703 | − | 0.984398i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.4797 | + | 19.4797i | −0.911220 | + | 0.911220i | −0.996368 | − | 0.0851486i | \(-0.972864\pi\) |
0.0851486 | + | 0.996368i | \(0.472864\pi\) | |||||||
\(458\) | 48.7276 | + | 28.1329i | 2.27689 | + | 1.31456i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 133.459 | − | 35.7602i | 6.22255 | − | 1.66733i | ||||
\(461\) | 10.0918 | − | 2.70408i | 0.470021 | − | 0.125942i | −0.0160314 | − | 0.999871i | \(-0.505103\pi\) |
0.486052 | + | 0.873930i | \(0.338437\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.7292 | − | 10.7292i | −0.498628 | − | 0.498628i | 0.412382 | − | 0.911011i | \(-0.364697\pi\) |
−0.911011 | + | 0.412382i | \(0.864697\pi\) | |||||||
\(464\) | 56.1394 | + | 97.2362i | 2.60620 | + | 4.51408i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 59.8948 | − | 16.0488i | 2.77457 | − | 0.743445i | ||||
\(467\) | 7.08987 | − | 12.2800i | 0.328080 | − | 0.568251i | −0.654051 | − | 0.756451i | \(-0.726932\pi\) |
0.982131 | + | 0.188199i | \(0.0602651\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.1475 | + | 13.4065i | 0.468569 | + | 0.619056i | ||||
\(470\) | 8.73729 | + | 2.34115i | 0.403021 | + | 0.107989i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 30.4937 | 1.40358 | ||||||||
\(473\) | 3.55076 | + | 0.951424i | 0.163264 | + | 0.0437465i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.55585 | − | 9.53857i | −0.117271 | − | 0.437660i | ||||
\(476\) | 7.75308 | + | 19.0721i | 0.355362 | + | 0.874169i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | − | 80.0836i | − | 3.66294i | ||||||
\(479\) | 6.49544 | + | 24.2413i | 0.296784 | + | 1.10761i | 0.939790 | + | 0.341752i | \(0.111020\pi\) |
−0.643006 | + | 0.765861i | \(0.722313\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.65489 | + | 2.52915i | 0.121053 | + | 0.115319i | ||||
\(482\) | − | 18.4951i | − | 0.842431i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 29.3757 | + | 50.8803i | 1.33526 | + | 2.31274i | ||||
\(485\) | −7.97153 | + | 4.60236i | −0.361968 | + | 0.208983i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.1606 | + | 17.1606i | −0.777620 | + | 0.777620i | −0.979426 | − | 0.201805i | \(-0.935319\pi\) |
0.201805 | + | 0.979426i | \(0.435319\pi\) | |||||||
\(488\) | −117.883 | − | 31.5866i | −5.33631 | − | 1.42986i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 16.6058 | + | 65.4101i | 0.750171 | + | 2.95493i | ||||
\(491\) | 9.68019 | − | 5.58886i | 0.436861 | − | 0.252222i | −0.265404 | − | 0.964137i | \(-0.585505\pi\) |
0.702265 | + | 0.711915i | \(0.252172\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.46796 | + | 9.47079i | 0.246265 | + | 0.426543i | ||||
\(494\) | 6.74666 | + | 11.0574i | 0.303547 | + | 0.497494i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.75065 | + | 10.2656i | −0.123508 | + | 0.460937i | ||||
\(497\) | −3.00901 | − | 3.97540i | −0.134973 | − | 0.178321i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.2127 | − | 38.1144i | −0.457184 | − | 1.70623i | −0.681587 | − | 0.731737i | \(-0.738710\pi\) |
0.224403 | − | 0.974496i | \(-0.427957\pi\) | |||||||
\(500\) | −33.9317 | − | 33.9317i | −1.51747 | − | 1.51747i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4.00284 | − | 14.9388i | −0.178655 | − | 0.666751i | ||||
\(503\) | 7.48538 | + | 4.32169i | 0.333757 | + | 0.192694i | 0.657508 | − | 0.753448i | \(-0.271611\pi\) |
−0.323751 | + | 0.946142i | \(0.604944\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.32275 | + | 4.93657i | −0.0588616 | + | 0.219674i | ||||
\(506\) | −7.50357 | − | 4.33219i | −0.333574 | − | 0.192589i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −18.5297 | − | 32.0945i | −0.822125 | − | 1.42396i | ||||
\(509\) | −3.95593 | − | 3.95593i | −0.175343 | − | 0.175343i | 0.613979 | − | 0.789322i | \(-0.289568\pi\) |
−0.789322 | + | 0.613979i | \(0.789568\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −33.4008 | + | 4.17355i | −1.47756 | + | 0.184627i | ||||
\(512\) | −26.6889 | + | 26.6889i | −1.17950 | + | 1.17950i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.30249 | − | 2.30249i | 0.101558 | − | 0.101558i | ||||
\(515\) | 12.2651 | − | 45.7739i | 0.540464 | − | 2.01704i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.207354 | − | 0.359147i | −0.00911940 | − | 0.0157953i | ||||
\(518\) | −6.79775 | + | 2.76338i | −0.298676 | + | 0.121416i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 104.901 | + | 57.2191i | 4.60023 | + | 2.50922i | ||||
\(521\) | −5.55782 | + | 3.20881i | −0.243493 | + | 0.140581i | −0.616781 | − | 0.787135i | \(-0.711564\pi\) |
0.373288 | + | 0.927715i | \(0.378230\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 31.6355i | 1.38333i | 0.722221 | + | 0.691663i | \(0.243121\pi\) | ||||
−0.722221 | + | 0.691663i | \(0.756879\pi\) | |||||||
\(524\) | 9.98229 | − | 17.2898i | 0.436078 | − | 0.755310i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.0232 | − | 63.5316i | −0.742248 | − | 2.77011i | ||||
\(527\) | −0.267913 | + | 0.999863i | −0.0116705 | + | 0.0435547i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −28.6659 | −1.24634 | ||||||||
\(530\) | 47.8914 | 2.08027 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −18.8052 | + | 2.34978i | −0.815310 | + | 0.101876i | ||||
\(533\) | 2.45430 | − | 10.1367i | 0.106307 | − | 0.439070i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.45271 | + | 1.72900i | −0.278975 | + | 0.0747511i | ||||
\(536\) | −29.7895 | + | 51.5969i | −1.28671 | + | 2.22865i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −35.5814 | − | 35.5814i | −1.53402 | − | 1.53402i | ||||
\(539\) | 1.58217 | − | 2.65884i | 0.0681488 | − | 0.114524i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.2900 | + | 4.90078i | −0.786347 | + | 0.210701i | −0.629581 | − | 0.776935i | \(-0.716773\pi\) |
−0.156766 | + | 0.987636i | \(0.550107\pi\) | |||||||
\(542\) | 2.68083i | 0.115152i | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −21.5727 | + | 21.5727i | −0.924922 | + | 0.924922i | ||||
\(545\) | 26.0735 | 1.11686 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.7543 | −0.588091 | −0.294046 | − | 0.955791i | \(-0.595002\pi\) | ||||
−0.294046 | + | 0.955791i | \(0.595002\pi\) | |||||||
\(548\) | 30.3097 | − | 30.3097i | 1.29477 | − | 1.29477i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 9.03628i | 0.385308i | ||||||||
\(551\) | −9.72373 | + | 2.60546i | −0.414245 | + | 0.110997i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.28406 | + | 9.28039i | −0.0546039 | + | 0.394643i | ||||
\(554\) | 34.8038 | + | 34.8038i | 1.47867 | + | 1.47867i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 32.4056 | − | 56.1281i | 1.37430 | − | 2.38036i | ||||
\(557\) | −16.6591 | + | 4.46378i | −0.705867 | + | 0.189137i | −0.593857 | − | 0.804571i | \(-0.702396\pi\) |
−0.112010 | + | 0.993707i | \(0.535729\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 26.3253 | + | 14.3593i | 1.11344 | + | 0.607334i | ||||
\(560\) | −109.568 | + | 82.9329i | −4.63009 | + | 3.50456i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 59.4678 | 2.50850 | ||||||||
\(563\) | −33.0554 | −1.39312 | −0.696559 | − | 0.717499i | \(-0.745287\pi\) | ||||
−0.696559 | + | 0.717499i | \(0.745287\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.66127 | − | 21.1282i | 0.238172 | − | 0.888868i | ||||
\(566\) | −19.3912 | − | 72.3688i | −0.815071 | − | 3.04189i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 8.83340 | − | 15.2999i | 0.370641 | − | 0.641969i | ||||
\(569\) | − | 32.9428i | − | 1.38104i | −0.723316 | − | 0.690518i | \(-0.757383\pi\) | ||
0.723316 | − | 0.690518i | \(-0.242617\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.40074 | − | 3.69547i | 0.267862 | − | 0.154650i | −0.360053 | − | 0.932932i | \(-0.617242\pi\) |
0.627916 | + | 0.778281i | \(0.283908\pi\) | |||||||
\(572\) | −2.44513 | − | 8.31348i | −0.102236 | − | 0.347604i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 16.4747 | + | 12.8149i | 0.687640 | + | 0.534882i | ||||
\(575\) | 26.9418 | + | 46.6645i | 1.12355 | + | 1.94605i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.1455 | + | 37.8634i | −0.422362 | + | 1.57627i | 0.347257 | + | 0.937770i | \(0.387113\pi\) |
−0.769618 | + | 0.638505i | \(0.779553\pi\) | |||||||
\(578\) | 28.8340 | − | 28.8340i | 1.19934 | − | 1.19934i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −103.870 | + | 103.870i | −4.31297 | + | 4.31297i | ||||
\(581\) | −8.04285 | − | 3.39373i | −0.333674 | − | 0.140796i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.55257 | − | 1.55257i | −0.0643009 | − | 0.0643009i | ||||
\(584\) | −59.6371 | − | 103.294i | −2.46780 | − | 4.27435i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.5401 | + | 10.7041i | 0.765886 | + | 0.442184i | ||||
\(587\) | −5.58839 | + | 20.8562i | −0.230658 | + | 0.860826i | 0.749401 | + | 0.662117i | \(0.230342\pi\) |
−0.980058 | + | 0.198709i | \(0.936325\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.825203 | − | 0.476431i | −0.0340019 | − | 0.0196310i | ||||
\(590\) | 8.11599 | + | 30.2893i | 0.334130 | + | 1.24699i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −10.5655 | − | 10.5655i | −0.434238 | − | 0.434238i | ||||
\(593\) | 7.82600 | + | 29.2070i | 0.321375 | + | 1.19939i | 0.917906 | + | 0.396799i | \(0.129879\pi\) |
−0.596530 | + | 0.802591i | \(0.703454\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.6719 | + | 8.07765i | −0.437505 | + | 0.331152i | ||||
\(596\) | 30.6413 | − | 114.355i | 1.25512 | − | 4.68416i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −51.1748 | − | 48.7510i | −2.09269 | − | 1.99358i | ||||
\(599\) | −9.06280 | − | 15.6972i | −0.370296 | − | 0.641371i | 0.619315 | − | 0.785143i | \(-0.287410\pi\) |
−0.989611 | + | 0.143771i | \(0.954077\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −30.9648 | + | 17.8775i | −1.26308 | + | 0.729240i | −0.973669 | − | 0.227965i | \(-0.926793\pi\) |
−0.289411 | + | 0.957205i | \(0.593459\pi\) | |||||||
\(602\) | −47.8490 | + | 36.2174i | −1.95018 | + | 1.47611i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 73.3283 | + | 19.6483i | 2.98369 | + | 0.799476i | ||||
\(605\) | −27.0077 | + | 27.0077i | −1.09802 | + | 1.09802i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.30264 | − | 1.90678i | 0.134050 | − | 0.0773937i | −0.431475 | − | 0.902125i | \(-0.642007\pi\) |
0.565525 | + | 0.824731i | \(0.308673\pi\) | |||||||
\(608\) | −14.0418 | − | 24.3211i | −0.569470 | − | 0.986352i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | − | 125.500i | − | 5.08133i | ||||||
\(611\) | −0.954550 | − | 3.24548i | −0.0386170 | − | 0.131298i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.06673 | + | 3.98111i | 0.0430850 | + | 0.160795i | 0.984117 | − | 0.177523i | \(-0.0568085\pi\) |
−0.941032 | + | 0.338319i | \(0.890142\pi\) | |||||||
\(614\) | − | 62.1811i | − | 2.50942i | ||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 10.8598 | + | 1.50260i | 0.437556 | + | 0.0605415i | ||||
\(617\) | −4.26184 | − | 15.9054i | −0.171575 | − | 0.640327i | −0.997110 | − | 0.0759754i | \(-0.975793\pi\) |
0.825535 | − | 0.564351i | \(-0.190874\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.82581 | + | 2.63282i | 0.394933 | + | 0.105822i | 0.450819 | − | 0.892615i | \(-0.351132\pi\) |
−0.0558866 | + | 0.998437i | \(0.517799\pi\) | |||||||
\(620\) | −13.9042 | −0.558407 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −14.5191 | − | 3.89037i | −0.582161 | − | 0.155990i | ||||
\(623\) | −10.7611 | + | 25.5030i | −0.431135 | + | 1.02176i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.14284 | + | 5.44356i | −0.125714 | + | 0.217743i | ||||
\(626\) | −51.1330 | + | 13.7010i | −2.04369 | + | 0.547604i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −40.7146 | − | 70.5198i | −1.62469 | − | 2.81405i | ||||
\(629\) | −1.02907 | − | 1.02907i | −0.0410318 | − | 0.0410318i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.7618 | + | 9.58236i | −1.42366 | + | 0.381468i | −0.886779 | − | 0.462193i | \(-0.847063\pi\) |
−0.536877 | + | 0.843661i | \(0.680396\pi\) | |||||||
\(632\) | −32.0666 | + | 8.59222i | −1.27554 | + | 0.341780i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 66.3156 | + | 38.2873i | 2.63373 | + | 1.52058i | ||||
\(635\) | 17.0361 | − | 17.0361i | 0.676055 | − | 0.676055i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 17.6479 | − | 18.0430i | 0.699236 | − | 0.714891i | ||||
\(638\) | 9.21169 | 0.364694 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −109.558 | − | 63.2531i | −4.33064 | − | 2.50030i | ||||
\(641\) | 30.1425i | 1.19056i | 0.803520 | + | 0.595278i | \(0.202958\pi\) | ||||
−0.803520 | + | 0.595278i | \(0.797042\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 36.7921 | − | 9.85840i | 1.45094 | − | 0.388778i | 0.554588 | − | 0.832125i | \(-0.312876\pi\) |
0.896350 | + | 0.443348i | \(0.146209\pi\) | |||||||
\(644\) | 95.7964 | − | 38.9425i | 3.77491 | − | 1.53455i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.57054 | − | 4.45230i | −0.101136 | − | 0.175173i | ||||
\(647\) | 19.3901 | − | 33.5847i | 0.762305 | − | 1.32035i | −0.179354 | − | 0.983785i | \(-0.557401\pi\) |
0.941660 | − | 0.336567i | \(-0.109266\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.718826 | − | 1.24504i | 0.0282164 | − | 0.0488722i | ||||
\(650\) | −17.3461 | + | 71.6428i | −0.680371 | + | 2.81006i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 46.4600 | + | 12.4489i | 1.81952 | + | 0.487538i | ||||
\(653\) | 13.0170 | 0.509396 | 0.254698 | − | 0.967021i | \(-0.418024\pi\) | ||||
0.254698 | + | 0.967021i | \(0.418024\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.5368 | + | 3.35924i | 0.489855 | + | 0.131256i | ||||
\(656\) | −10.9998 | + | 41.0519i | −0.429471 | + | 1.60281i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.70612 | + | 0.927878i | 0.261432 | + | 0.0361725i | ||||
\(659\) | −25.0015 | + | 43.3039i | −0.973921 | + | 1.68688i | −0.290470 | + | 0.956884i | \(0.593812\pi\) |
−0.683451 | + | 0.729996i | \(0.739522\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.33584 | + | 12.4495i | 0.129749 | + | 0.484231i | 0.999964 | − | 0.00844118i | \(-0.00268694\pi\) |
−0.870215 | + | 0.492672i | \(0.836020\pi\) | |||||||
\(662\) | 17.9333 | − | 10.3538i | 0.696999 | − | 0.402413i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 30.9326i | − | 1.20042i | ||||||
\(665\) | −4.63972 | − | 11.4134i | −0.179921 | − | 0.442595i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 47.5704 | − | 27.4648i | 1.84193 | − | 1.06344i | ||||
\(668\) | 0.482758 | − | 1.80168i | 0.0186785 | − | 0.0697090i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −59.1797 | − | 15.8572i | −2.28631 | − | 0.612615i | ||||
\(671\) | −4.06852 | + | 4.06852i | −0.157063 | + | 0.157063i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 34.5128 | − | 19.9259i | 1.33037 | − | 0.768089i | 0.345013 | − | 0.938598i | \(-0.387875\pi\) |
0.985356 | + | 0.170509i | \(0.0545413\pi\) | |||||||
\(674\) | −6.29029 | − | 6.29029i | −0.242293 | − | 0.242293i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.42724 | − | 70.6059i | −0.131817 | − | 2.71561i | ||||
\(677\) | 3.61272 | + | 2.08580i | 0.138848 | + | 0.0801640i | 0.567815 | − | 0.823156i | \(-0.307789\pi\) |
−0.428967 | + | 0.903320i | \(0.641122\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.49307 | + | 4.15775i | −0.210805 | + | 0.159560i | ||||
\(680\) | −41.0723 | − | 23.7131i | −1.57505 | − | 0.909357i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.616546 | + | 0.616546i | 0.0236088 | + | 0.0236088i | ||||
\(683\) | −4.99136 | − | 4.99136i | −0.190989 | − | 0.190989i | 0.605134 | − | 0.796123i | \(-0.293119\pi\) |
−0.796123 | + | 0.605134i | \(0.793119\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 24.1330 | + | 13.9332i | 0.922075 | + | 0.532360i | ||||
\(686\) | 18.4024 | + | 47.0367i | 0.702609 | + | 1.79587i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −105.824 | − | 61.0974i | −4.03450 | − | 2.32932i | ||||
\(689\) | −9.32899 | − | 15.2896i | −0.355406 | − | 0.582489i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.9631 | − | 15.9631i | −0.607264 | − | 0.607264i | 0.334966 | − | 0.942230i | \(-0.391275\pi\) |
−0.942230 | + | 0.334966i | \(0.891275\pi\) | |||||||
\(692\) | −43.5627 | + | 25.1510i | −1.65601 | + | 0.956096i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −59.7165 | + | 59.7165i | −2.26681 | + | 2.26681i | ||||
\(695\) | 40.6985 | + | 10.9051i | 1.54378 | + | 0.413655i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.07138 | + | 3.99845i | −0.0405815 | + | 0.151452i | ||||
\(698\) | 28.6337 | − | 16.5317i | 1.08380 | − | 0.625734i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −85.1270 | − | 66.2161i | −3.21750 | − | 2.50273i | ||||
\(701\) | 38.0674i | 1.43779i | 0.695120 | + | 0.718894i | \(0.255351\pi\) | ||||
−0.695120 | + | 0.718894i | \(0.744649\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.16018 | − | 0.669830i | 0.0437570 | − | 0.0252631i | ||||
\(704\) | 3.28965 | + | 12.2771i | 0.123983 | + | 0.462712i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −40.0960 | + | 69.4484i | −1.50903 | + | 2.61372i | ||||
\(707\) | −0.524251 | + | 3.78896i | −0.0197165 | + | 0.142498i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.469956 | + | 1.75390i | −0.0176496 | + | 0.0658691i | −0.974189 | − | 0.225734i | \(-0.927522\pi\) |
0.956539 | + | 0.291603i | \(0.0941886\pi\) | |||||||
\(710\) | 17.5484 | + | 4.70208i | 0.658579 | + | 0.176466i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −98.0838 | −3.67584 | ||||||||
\(713\) | 5.02216 | + | 1.34568i | 0.188081 | + | 0.0503963i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.80907 | − | 2.93426i | 0.179849 | − | 0.109735i | ||||
\(716\) | 39.7092 | − | 68.7784i | 1.48400 | − | 2.57037i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.6959 | − | 21.9899i | 0.473806 | − | 0.820656i | ||||
\(719\) | −13.7958 | − | 23.8950i | −0.514496 | − | 0.891133i | −0.999859 | − | 0.0168198i | \(-0.994646\pi\) |
0.485363 | − | 0.874313i | \(-0.338688\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.86107 | − | 35.1328i | 0.181036 | − | 1.30841i | ||||
\(722\) | −45.4800 | + | 12.1863i | −1.69259 | + | 0.453528i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 46.9705i | 1.74564i | ||||||||
\(725\) | −49.6123 | − | 28.6437i | −1.84255 | − | 1.06380i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.57479 | 0.0584058 | 0.0292029 | − | 0.999574i | \(-0.490703\pi\) | ||||
0.0292029 | + | 0.999574i | \(0.490703\pi\) | |||||||
\(728\) | 83.2163 | + | 32.7598i | 3.08420 | + | 1.21416i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 86.7295 | − | 86.7295i | 3.21000 | − | 3.21000i | ||||
\(731\) | −10.3072 | − | 5.95088i | −0.381226 | − | 0.220101i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −37.5443 | + | 10.0600i | −1.38673 | + | 0.371574i | −0.873562 | − | 0.486713i | \(-0.838196\pi\) |
−0.513170 | + | 0.858287i | \(0.671529\pi\) | |||||||
\(734\) | −66.4456 | + | 17.8040i | −2.45255 | + | 0.657159i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 108.356 | + | 108.356i | 3.99407 | + | 3.99407i | ||||
\(737\) | 1.40445 | + | 2.43259i | 0.0517337 | + | 0.0896055i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −42.2979 | + | 11.3337i | −1.55595 | + | 0.416917i | −0.931380 | − | 0.364049i | \(-0.881394\pi\) |
−0.624574 | + | 0.780966i | \(0.714727\pi\) | |||||||
\(740\) | 9.77420 | − | 16.9294i | 0.359307 | − | 0.622337i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 35.5672 | − | 4.44425i | 1.30571 | − | 0.163154i | ||||
\(743\) | −18.3147 | − | 4.90740i | −0.671900 | − | 0.180035i | −0.0932893 | − | 0.995639i | \(-0.529738\pi\) |
−0.578610 | + | 0.815604i | \(0.696405\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 76.9655 | 2.81980 | ||||||||
\(746\) | −2.76160 | − | 0.739970i | −0.101110 | − | 0.0270922i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.890174 | + | 3.32217i | 0.0325480 | + | 0.121471i | ||||
\(749\) | −4.63174 | + | 1.88286i | −0.169240 | + | 0.0687984i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 11.4855i | − | 0.419110i | −0.977797 | − | 0.209555i | \(-0.932798\pi\) | ||
0.977797 | − | 0.209555i | \(-0.0672016\pi\) | |||||||
\(752\) | 3.56790 | + | 13.3156i | 0.130108 | + | 0.485570i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 73.0335 | + | 17.6828i | 2.65972 | + | 0.643971i | ||||
\(755\) | 49.3529i | 1.79613i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.505532 | + | 0.875607i | 0.0183739 | + | 0.0318245i | 0.875066 | − | 0.484003i | \(-0.160818\pi\) |
−0.856692 | + | 0.515828i | \(0.827484\pi\) | |||||||
\(758\) | 37.4122 | − | 21.5999i | 1.35887 | − | 0.784545i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 30.8700 | − | 30.8700i | 1.11977 | − | 1.11977i | ||||
\(761\) | −44.9154 | − | 12.0351i | −1.62818 | − | 0.436270i | −0.674792 | − | 0.738008i | \(-0.735767\pi\) |
−0.953391 | + | 0.301737i | \(0.902433\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 19.3638 | − | 2.41958i | 0.701017 | − | 0.0875946i | ||||
\(764\) | −33.1909 | + | 19.1628i | −1.20080 | + | 0.693285i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 35.4216 | + | 61.3520i | 1.27983 | + | 2.21674i | ||||
\(767\) | 8.08910 | − | 8.49127i | 0.292080 | − | 0.306602i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.0112 | − | 37.3624i | 0.361014 | − | 1.34732i | −0.511730 | − | 0.859146i | \(-0.670995\pi\) |
0.872745 | − | 0.488177i | \(-0.162338\pi\) | |||||||
\(770\) | 1.39786 | + | 11.1870i | 0.0503752 | + | 0.403151i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 32.5256 | + | 121.387i | 1.17062 | + | 4.36882i | ||||
\(773\) | 21.0972 | + | 21.0972i | 0.758814 | + | 0.758814i | 0.976107 | − | 0.217293i | \(-0.0697226\pi\) |
−0.217293 | + | 0.976107i | \(0.569723\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.40345 | − | 5.23773i | −0.0504133 | − | 0.188145i | ||||
\(776\) | −21.1409 | − | 12.2057i | −0.758913 | − | 0.438158i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 16.3412 | − | 60.9862i | 0.585861 | − | 2.18646i | ||||
\(779\) | −3.29998 | − | 1.90525i | −0.118234 | − | 0.0682625i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.416459 | − | 0.721328i | −0.0149021 | − | 0.0258111i | ||||
\(782\) | 19.8361 | + | 19.8361i | 0.709336 | + | 0.709336i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −73.6760 | + | 71.7590i | −2.63129 | + | 2.56282i | ||||
\(785\) | 37.4326 | − | 37.4326i | 1.33603 | − | 1.33603i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.12615 | − | 3.12615i | 0.111435 | − | 0.111435i | −0.649191 | − | 0.760626i | \(-0.724892\pi\) |
0.760626 | + | 0.649191i | \(0.224892\pi\) | |||||||
\(788\) | 27.3487 | − | 102.067i | 0.974258 | − | 3.63598i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −17.0693 | − | 29.5649i | −0.607298 | − | 1.05187i | ||||
\(791\) | 2.24376 | − | 16.2165i | 0.0797788 | − | 0.576591i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −40.0666 | + | 24.4467i | −1.42281 | + | 0.868127i | ||||
\(794\) | 27.9221 | − | 16.1209i | 0.990920 | − | 0.572108i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | − | 96.8480i | − | 3.43269i | ||||||
\(797\) | 8.62284 | − | 14.9352i | 0.305437 | − | 0.529032i | −0.671922 | − | 0.740622i | \(-0.734531\pi\) |
0.977358 | + | 0.211590i | \(0.0678642\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.347513 | + | 1.29694i | 0.0122941 | + | 0.0458823i | ||||
\(800\) | 41.3636 | − | 154.371i | 1.46243 | − | 5.45785i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 56.8121 | 2.00611 | ||||||||
\(803\) | −5.62329 | −0.198442 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 40.5728 | + | 53.6033i | 1.43000 | + | 1.88927i | ||||
\(806\) | 3.70466 | + | 6.07172i | 0.130491 | + | 0.213867i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −13.0920 | + | 3.50799i | −0.460575 | + | 0.123411i | ||||
\(809\) | 11.7999 | − | 20.4380i | 0.414862 | − | 0.718562i | −0.580552 | − | 0.814223i | \(-0.697163\pi\) |
0.995414 | + | 0.0956610i | \(0.0304965\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 16.8186 | + | 16.8186i | 0.590582 | + | 0.590582i | 0.937789 | − | 0.347207i | \(-0.112870\pi\) |
−0.347207 | + | 0.937789i | \(0.612870\pi\) | |||||||
\(812\) | −67.5015 | + | 86.7794i | −2.36884 | + | 3.04536i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.18410 | + | 0.317279i | −0.0415027 | + | 0.0111206i | ||||
\(815\) | 31.2695i | 1.09532i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.74693 | − | 7.74693i | 0.271031 | − | 0.271031i | ||||
\(818\) | 43.3659 | 1.51625 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −55.6029 | −1.94174 | ||||||||
\(821\) | −12.7007 | + | 12.7007i | −0.443259 | + | 0.443259i | −0.893106 | − | 0.449847i | \(-0.851479\pi\) |
0.449847 | + | 0.893106i | \(0.351479\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 27.7997i | 0.969035i | 0.874782 | + | 0.484518i | \(0.161005\pi\) | ||||
−0.874782 | + | 0.484518i | \(0.838995\pi\) | |||||||
\(824\) | 121.395 | − | 32.5276i | 4.22898 | − | 1.13315i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.83824 | + | 21.7416i | 0.307522 | + | 0.756486i | ||||
\(827\) | 19.2095 | + | 19.2095i | 0.667980 | + | 0.667980i | 0.957248 | − | 0.289268i | \(-0.0934119\pi\) |
−0.289268 | + | 0.957248i | \(0.593412\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.1884 | − | 34.9673i | 0.701170 | − | 1.21446i | −0.266885 | − | 0.963728i | \(-0.585995\pi\) |
0.968056 | − | 0.250735i | \(-0.0806722\pi\) | |||||||
\(830\) | 30.7253 | − | 8.23281i | 1.06649 | − | 0.285765i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.51419 | + | 103.652i | 0.0871637 | + | 3.59350i | ||||
\(833\) | −7.17603 | + | 6.98931i | −0.248635 | + | 0.242165i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.21260 | 0.0419638 | ||||||||
\(836\) | −3.16601 | −0.109499 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.49759 | + | 13.0532i | −0.120822 | + | 0.450915i | ||||
\(839\) | 3.20470 | + | 11.9601i | 0.110638 | + | 0.412908i | 0.998924 | − | 0.0463840i | \(-0.0147698\pi\) |
−0.888285 | + | 0.459292i | \(0.848103\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.6997 | + | 25.4606i | −0.506885 | + | 0.877951i | ||||
\(842\) | 3.12877i | 0.107824i | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −47.4535 | + | 27.3973i | −1.63342 | + | 0.943055i | ||||
\(845\) | 43.7606 | − | 14.0323i | 1.50541 | − | 0.482725i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −17.5514 | + | 22.5639i | −0.603072 | + | 0.775306i | ||||
\(848\) | 36.4932 | + | 63.2080i | 1.25318 | + | 2.17057i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 7.57215 | − | 28.2597i | 0.259723 | − | 0.969298i | ||||
\(851\) | −5.16888 | + | 5.16888i | −0.177187 | + | 0.177187i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 30.9345 | − | 30.9345i | 1.05918 | − | 1.05918i | 0.0610421 | − | 0.998135i | \(-0.480558\pi\) |
0.998135 | − | 0.0610421i | \(-0.0194424\pi\) | |||||||
\(854\) | −11.6462 | − | 93.2040i | −0.398524 | − | 3.18937i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −12.5275 | − | 12.5275i | −0.428181 | − | 0.428181i | ||||
\(857\) | −4.46536 | − | 7.73423i | −0.152534 | − | 0.264196i | 0.779624 | − | 0.626247i | \(-0.215410\pi\) |
−0.932158 | + | 0.362051i | \(0.882077\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 21.5650 | + | 12.4506i | 0.735789 | + | 0.424808i | 0.820536 | − | 0.571594i | \(-0.193675\pi\) |
−0.0847471 | + | 0.996402i | \(0.527008\pi\) | |||||||
\(860\) | 41.3768 | − | 154.420i | 1.41094 | − | 5.26569i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −48.4163 | − | 27.9532i | −1.64907 | − | 0.952089i | ||||
\(863\) | −4.57987 | − | 17.0923i | −0.155900 | − | 0.581829i | −0.999027 | − | 0.0441126i | \(-0.985954\pi\) |
0.843126 | − | 0.537716i | \(-0.180713\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −23.1235 | − | 23.1235i | −0.786223 | − | 0.786223i | ||||
\(866\) | −0.347450 | − | 1.29670i | −0.0118068 | − | 0.0440638i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −10.3261 | + | 1.29029i | −0.350492 | + | 0.0437953i | ||||
\(869\) | −0.405088 | + | 1.51181i | −0.0137417 | + | 0.0512847i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.46539 | + | 21.9824i | 0.219071 | + | 0.744845i | ||||
\(872\) | 34.5740 | + | 59.8840i | 1.17082 | + | 2.02793i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −22.3632 | + | 12.9114i | −0.756447 | + | 0.436735i | ||||
\(875\) | 9.07710 | − | 21.5120i | 0.306862 | − | 0.727237i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.49405 | − | 0.668278i | −0.0842180 | − | 0.0225662i | 0.216464 | − | 0.976291i | \(-0.430548\pi\) |
−0.300682 | + | 0.953724i | \(0.597214\pi\) | |||||||
\(878\) | −43.1547 | + | 43.1547i | −1.45640 | + | 1.45640i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −19.8809 | + | 11.4782i | −0.670184 | + | 0.386931i | ||||
\(881\) | 5.24887 | + | 9.09131i | 0.176839 | + | 0.306294i | 0.940796 | − | 0.338973i | \(-0.110079\pi\) |
−0.763957 | + | 0.645267i | \(0.776746\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.987737i | 0.0332400i | 0.999862 | + | 0.0166200i | \(0.00529056\pi\) | ||||
−0.999862 | + | 0.0166200i | \(0.994709\pi\) | |||||||
\(884\) | 0.680334 | + | 28.0481i | 0.0228821 | + | 0.943361i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6.73975 | − | 25.1531i | −0.226426 | − | 0.845035i | ||||
\(887\) | 39.8664i | 1.33858i | 0.743001 | + | 0.669291i | \(0.233402\pi\) | ||||
−0.743001 | + | 0.669291i | \(0.766598\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11.0711 | − | 14.2330i | 0.371314 | − | 0.477358i | ||||
\(890\) | −26.1053 | − | 97.4264i | −0.875052 | − | 3.26574i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.99594 | − | 1.33866i | −0.167276 | − | 0.0448216i | ||||
\(893\) | −1.23597 | −0.0413602 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 49.8712 | + | 13.3629i | 1.66701 | + | 0.446674i | ||||
\(896\) | −87.2341 | − | 36.8090i | −2.91429 | − | 1.22970i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −24.2635 | + | 42.0256i | −0.809684 | + | 1.40241i | ||||
\(899\) | −5.33940 | + | 1.43069i | −0.178079 | + | 0.0477162i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.55443 | + | 6.15645i | 0.118415 | + | 0.205101i | ||||
\(902\) | 2.46556 | + | 2.46556i | 0.0820943 | + | 0.0820943i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 56.0329 | − | 15.0140i | 1.86362 | − | 0.499357i | ||||
\(905\) | −29.4953 | + | 7.90325i | −0.980458 | + | 0.262713i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.90175 | + | 4.56208i | 0.262373 | + | 0.151481i | 0.625417 | − | 0.780291i | \(-0.284929\pi\) |
−0.363043 | + | 0.931772i | \(0.618262\pi\) | |||||||
\(908\) | −94.3048 | + | 94.3048i | −3.12962 | + | 3.12962i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −10.3920 | + | 91.3777i | −0.344490 | + | 3.02914i | ||||
\(911\) | −28.0053 | −0.927856 | −0.463928 | − | 0.885873i | \(-0.653560\pi\) | ||||
−0.463928 | + | 0.885873i | \(0.653560\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.26296 | − | 0.729173i | −0.0417980 | − | 0.0241321i | ||||
\(914\) | − | 75.1299i | − | 2.48508i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −108.363 | + | 29.0357i | −3.58040 | + | 0.959366i | ||||
\(917\) | 9.62239 | + | 1.33138i | 0.317759 | + | 0.0439661i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.25029 | − | 10.8258i | −0.206178 | − | 0.357111i | 0.744329 | − | 0.667813i | \(-0.232769\pi\) |
−0.950507 | + | 0.310702i | \(0.899436\pi\) | |||||||
\(920\) | −119.107 | + | 206.300i | −3.92686 | + | 6.80151i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −14.2466 | + | 24.6758i | −0.469186 | + | 0.812654i | ||||
\(923\) | −1.91716 | − | 6.51838i | −0.0631042 | − | 0.214555i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.36390 | + | 1.97315i | 0.242124 | + | 0.0648768i | ||||
\(926\) | 41.3808 | 1.35986 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −157.368 | − | 42.1666i | −5.16585 | − | 1.38418i | ||||
\(929\) | 6.56236 | − | 24.4911i | 0.215304 | − | 0.803525i | −0.770755 | − | 0.637131i | \(-0.780121\pi\) |
0.986059 | − | 0.166394i | \(-0.0532124\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.50490 | − | 8.04579i | −0.147642 | − | 0.263690i | ||||
\(932\) | −61.8169 | + | 107.070i | −2.02488 | + | 3.50719i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 10.0088 | + | 37.3533i | 0.327497 | + | 1.22224i | ||||
\(935\) | −1.93639 | + | 1.11798i | −0.0633269 | + | 0.0365618i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 27.8676i | − | 0.910396i | −0.890390 | − | 0.455198i | \(-0.849569\pi\) | ||
0.890390 | − | 0.455198i | \(-0.150431\pi\) | |||||||
\(938\) | −45.4221 | − | 6.28474i | −1.48308 | − | 0.205204i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −15.6191 | + | 9.01768i | −0.509438 | + | 0.294124i | ||||
\(941\) | 3.72461 | − | 13.9004i | 0.121419 | − | 0.453141i | −0.878268 | − | 0.478169i | \(-0.841301\pi\) |
0.999687 | + | 0.0250276i | \(0.00796737\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 20.0836 | + | 5.38139i | 0.654012 | + | 0.175242i | ||||
\(944\) | −33.7920 | + | 33.7920i | −1.09984 | + | 1.09984i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −8.68211 | + | 5.01262i | −0.282280 | + | 0.162974i | ||||
\(947\) | 9.13292 | + | 9.13292i | 0.296780 | + | 0.296780i | 0.839751 | − | 0.542971i | \(-0.182701\pi\) |
−0.542971 | + | 0.839751i | \(0.682701\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −44.5834 | − | 10.7945i | −1.44724 | − | 0.350405i | ||||
\(950\) | 23.3231 | + | 13.4656i | 0.756703 | + | 0.436882i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −32.7035 | − | 13.7994i | −1.05992 | − | 0.447241i | ||||
\(953\) | 52.8130 | + | 30.4916i | 1.71078 | + | 0.987720i | 0.933507 | + | 0.358559i | \(0.116732\pi\) |
0.777275 | + | 0.629161i | \(0.216601\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.6181 | − | 17.6181i | −0.570107 | − | 0.570107i | ||||
\(956\) | 112.907 | + | 112.907i | 3.65167 | + | 3.65167i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −59.2734 | − | 34.2215i | −1.91504 | − | 1.10565i | ||||
\(959\) | 19.2157 | + | 8.10817i | 0.620507 | + | 0.261826i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 26.3937 | + | 15.2384i | 0.851408 | + | 0.491561i | ||||
\(962\) | −9.99702 | + | 0.242487i | −0.322317 | + | 0.00781810i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 26.0756 | + | 26.0756i | 0.839838 | + | 0.839838i | ||||
\(965\) | −70.7530 | + | 40.8492i | −2.27762 | + | 1.31498i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 33.5388 | − | 33.5388i | 1.07853 | − | 1.07853i | 0.0818928 | − | 0.996641i | \(-0.473903\pi\) |
0.996641 | − | 0.0818928i | \(-0.0260965\pi\) | |||||||
\(968\) | −97.8426 | − | 26.2169i | −3.14478 | − | 0.842642i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.49717 | − | 24.2478i | 0.208611 | − | 0.778548i | ||||
\(971\) | −11.8250 | + | 6.82715i | −0.379481 | + | 0.219094i | −0.677593 | − | 0.735437i | \(-0.736977\pi\) |
0.298111 | + | 0.954531i | \(0.403643\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 31.2372 | + | 4.32208i | 1.00142 | + | 0.138559i | ||||
\(974\) | − | 66.1857i | − | 2.12073i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 165.637 | − | 95.6305i | 5.30191 | − | 3.06106i | ||||
\(977\) | 7.88141 | + | 29.4138i | 0.252149 | + | 0.941032i | 0.969654 | + | 0.244479i | \(0.0786170\pi\) |
−0.717506 | + | 0.696553i | \(0.754716\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.31213 | + | 4.00472i | −0.0738959 | + | 0.127991i | ||||
\(980\) | −115.631 | − | 68.8075i | −3.69370 | − | 2.19797i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −7.88981 | + | 29.4452i | −0.251774 | + | 0.939633i | ||||
\(983\) | 3.36354 | + | 0.901257i | 0.107280 | + | 0.0287456i | 0.312060 | − | 0.950062i | \(-0.398981\pi\) |
−0.204780 | + | 0.978808i | \(0.565648\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 68.6950 | 2.18881 | ||||||||
\(986\) | −28.8082 | − | 7.71914i | −0.917440 | − | 0.245827i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −25.1012 | − | 6.07750i | −0.798576 | − | 0.193351i | ||||
\(989\) | −29.8904 | + | 51.7716i | −0.950458 | + | 1.64624i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.5061 | − | 23.3933i | 0.429036 | − | 0.743113i | −0.567751 | − | 0.823200i | \(-0.692187\pi\) |
0.996788 | + | 0.0800871i | \(0.0255199\pi\) | |||||||
\(992\) | −7.71051 | − | 13.3550i | −0.244809 | − | 0.424021i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 13.4689 | + | 1.86359i | 0.427207 | + | 0.0591096i | ||||
\(995\) | 60.8162 | − | 16.2956i | 1.92800 | − | 0.516607i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.9195i | 0.662526i | 0.943538 | + | 0.331263i | \(0.107475\pi\) | ||||
−0.943538 | + | 0.331263i | \(0.892525\pi\) | |||||||
\(998\) | 93.1950 | + | 53.8061i | 2.95004 | + | 1.70320i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.et.c.145.1 | 36 | ||
3.2 | odd | 2 | 273.2.bt.a.145.9 | ✓ | 36 | ||
7.3 | odd | 6 | 819.2.gh.c.262.1 | 36 | |||
13.7 | odd | 12 | 819.2.gh.c.397.1 | 36 | |||
21.17 | even | 6 | 273.2.cg.a.262.9 | yes | 36 | ||
39.20 | even | 12 | 273.2.cg.a.124.9 | yes | 36 | ||
91.59 | even | 12 | inner | 819.2.et.c.514.1 | 36 | ||
273.59 | odd | 12 | 273.2.bt.a.241.9 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.145.9 | ✓ | 36 | 3.2 | odd | 2 | ||
273.2.bt.a.241.9 | yes | 36 | 273.59 | odd | 12 | ||
273.2.cg.a.124.9 | yes | 36 | 39.20 | even | 12 | ||
273.2.cg.a.262.9 | yes | 36 | 21.17 | even | 6 | ||
819.2.et.c.145.1 | 36 | 1.1 | even | 1 | trivial | ||
819.2.et.c.514.1 | 36 | 91.59 | even | 12 | inner | ||
819.2.gh.c.262.1 | 36 | 7.3 | odd | 6 | |||
819.2.gh.c.397.1 | 36 | 13.7 | odd | 12 |