Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(179,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 15, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bo (of order \(30\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 179.11 | ||
Character | \(\chi\) | \(=\) | 930.179 |
Dual form | 930.2.bo.b.239.11 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | −0.955557 | + | 1.44461i | −0.551691 | + | 0.834048i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | −1.43804 | − | 1.71232i | −0.643110 | − | 0.765774i | ||||
\(6\) | 1.66919 | + | 0.462379i | 0.681445 | + | 0.188765i | ||||
\(7\) | 0.429946 | − | 0.965674i | 0.162504 | − | 0.364991i | −0.813880 | − | 0.581034i | \(-0.802648\pi\) |
0.976384 | + | 0.216043i | \(0.0693151\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | −1.17382 | − | 2.76082i | −0.391274 | − | 0.920274i | ||||
\(10\) | −1.18414 | + | 1.89679i | −0.374457 | + | 0.599818i | ||||
\(11\) | 0.584057 | + | 5.55693i | 0.176100 | + | 1.67548i | 0.624023 | + | 0.781406i | \(0.285497\pi\) |
−0.447923 | + | 0.894072i | \(0.647836\pi\) | |||||||
\(12\) | −0.0760609 | − | 1.73038i | −0.0219569 | − | 0.499518i | ||||
\(13\) | −2.93994 | − | 3.26513i | −0.815392 | − | 0.905585i | 0.181577 | − | 0.983377i | \(-0.441880\pi\) |
−0.996970 | + | 0.0777917i | \(0.975213\pi\) | |||||||
\(14\) | −1.05127 | − | 0.110493i | −0.280964 | − | 0.0295305i | ||||
\(15\) | 3.84777 | − | 0.441189i | 0.993491 | − | 0.113915i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 0.0324214 | + | 0.00340762i | 0.00786334 | + | 0.000826470i | 0.108459 | − | 0.994101i | \(-0.465408\pi\) |
−0.100596 | + | 0.994927i | \(0.532075\pi\) | |||||||
\(18\) | −2.26297 | + | 1.96951i | −0.533387 | + | 0.464218i | ||||
\(19\) | 1.05030 | − | 1.16647i | 0.240955 | − | 0.267607i | −0.610523 | − | 0.791999i | \(-0.709041\pi\) |
0.851477 | + | 0.524392i | \(0.175707\pi\) | |||||||
\(20\) | 2.16987 | + | 0.540040i | 0.485199 | + | 0.120757i | ||||
\(21\) | 0.984189 | + | 1.54386i | 0.214768 | + | 0.336899i | ||||
\(22\) | 5.10447 | − | 2.27266i | 1.08828 | − | 0.484532i | ||||
\(23\) | 0.578782 | − | 0.796625i | 0.120684 | − | 0.166108i | −0.744400 | − | 0.667734i | \(-0.767265\pi\) |
0.865085 | + | 0.501626i | \(0.167265\pi\) | |||||||
\(24\) | −1.62219 | + | 0.607055i | −0.331127 | + | 0.123915i | ||||
\(25\) | −0.864091 | + | 4.92477i | −0.172818 | + | 0.984954i | ||||
\(26\) | −2.19684 | + | 3.80503i | −0.430835 | + | 0.746228i | ||||
\(27\) | 5.10998 | + | 0.942407i | 0.983416 | + | 0.181366i | ||||
\(28\) | 0.219776 | + | 1.03396i | 0.0415337 | + | 0.195401i | ||||
\(29\) | 1.00735 | + | 3.10030i | 0.187060 | + | 0.575711i | 0.999978 | − | 0.00666727i | \(-0.00212227\pi\) |
−0.812918 | + | 0.582378i | \(0.802122\pi\) | |||||||
\(30\) | −1.60862 | − | 3.52311i | −0.293693 | − | 0.643230i | ||||
\(31\) | 3.07211 | + | 4.64350i | 0.551767 | + | 0.833998i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −8.58573 | − | 4.46623i | −1.49458 | − | 0.777471i | ||||
\(34\) | −0.00677791 | − | 0.0318876i | −0.00116240 | − | 0.00546867i | ||||
\(35\) | −2.27182 | + | 0.652471i | −0.384008 | + | 0.110288i | ||||
\(36\) | 2.57241 | + | 1.54360i | 0.428735 | + | 0.257266i | ||||
\(37\) | −1.42036 | − | 2.46013i | −0.233505 | − | 0.404443i | 0.725332 | − | 0.688399i | \(-0.241686\pi\) |
−0.958837 | + | 0.283956i | \(0.908353\pi\) | |||||||
\(38\) | −1.43394 | − | 0.638432i | −0.232616 | − | 0.103567i | ||||
\(39\) | 7.52614 | − | 1.12706i | 1.20515 | − | 0.180473i | ||||
\(40\) | −0.156920 | − | 2.23056i | −0.0248112 | − | 0.352682i | ||||
\(41\) | −1.80242 | + | 8.47972i | −0.281491 | + | 1.32431i | 0.579202 | + | 0.815184i | \(0.303364\pi\) |
−0.860693 | + | 0.509125i | \(0.829969\pi\) | |||||||
\(42\) | 1.16417 | − | 1.41310i | 0.179635 | − | 0.218046i | ||||
\(43\) | 5.69234 | − | 6.32198i | 0.868073 | − | 0.964093i | −0.131556 | − | 0.991309i | \(-0.541997\pi\) |
0.999630 | + | 0.0272157i | \(0.00866409\pi\) | |||||||
\(44\) | −3.73880 | − | 4.15235i | −0.563645 | − | 0.625991i | ||||
\(45\) | −3.03942 | + | 5.98013i | −0.453090 | + | 0.891465i | ||||
\(46\) | −0.936489 | − | 0.304284i | −0.138078 | − | 0.0448642i | ||||
\(47\) | −3.53808 | + | 10.8891i | −0.516082 | + | 1.58834i | 0.265223 | + | 0.964187i | \(0.414554\pi\) |
−0.781305 | + | 0.624149i | \(0.785446\pi\) | |||||||
\(48\) | 1.07863 | + | 1.35520i | 0.155686 | + | 0.195606i | ||||
\(49\) | 3.93624 | + | 4.37164i | 0.562320 | + | 0.624520i | ||||
\(50\) | 4.95075 | − | 0.700037i | 0.700142 | − | 0.0990002i | ||||
\(51\) | −0.0359032 | + | 0.0435802i | −0.00502745 | + | 0.00610245i | ||||
\(52\) | 4.29766 | + | 0.913495i | 0.595978 | + | 0.126679i | ||||
\(53\) | 1.08215 | + | 2.43056i | 0.148645 | + | 0.333863i | 0.972487 | − | 0.232957i | \(-0.0748402\pi\) |
−0.823842 | + | 0.566820i | \(0.808174\pi\) | |||||||
\(54\) | −0.682788 | − | 5.15110i | −0.0929156 | − | 0.700976i | ||||
\(55\) | 8.67536 | − | 8.99118i | 1.16979 | − | 1.21237i | ||||
\(56\) | 0.915443 | − | 0.528531i | 0.122331 | − | 0.0706279i | ||||
\(57\) | 0.681485 | + | 2.63191i | 0.0902648 | + | 0.348604i | ||||
\(58\) | 2.63727 | − | 1.91609i | 0.346291 | − | 0.251595i | ||||
\(59\) | 1.84893 | + | 8.69853i | 0.240710 | + | 1.13245i | 0.917952 | + | 0.396691i | \(0.129842\pi\) |
−0.677242 | + | 0.735760i | \(0.736825\pi\) | |||||||
\(60\) | −2.85359 | + | 2.61859i | −0.368397 | + | 0.338059i | ||||
\(61\) | 0.250467i | 0.0320690i | 0.999871 | + | 0.0160345i | \(0.00510417\pi\) | ||||
−0.999871 | + | 0.0160345i | \(0.994896\pi\) | |||||||
\(62\) | 3.46690 | − | 4.35667i | 0.440297 | − | 0.553298i | ||||
\(63\) | −3.17074 | − | 0.0534763i | −0.399475 | − | 0.00673738i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −1.36321 | + | 9.72951i | −0.169086 | + | 1.20680i | ||||
\(66\) | −1.59450 | + | 9.54565i | −0.196270 | + | 1.17499i | ||||
\(67\) | 5.05661 | + | 2.91944i | 0.617764 | + | 0.356666i | 0.775998 | − | 0.630736i | \(-0.217247\pi\) |
−0.158234 | + | 0.987402i | \(0.550580\pi\) | |||||||
\(68\) | −0.0282324 | + | 0.0163000i | −0.00342368 | + | 0.00197666i | ||||
\(69\) | 0.597756 | + | 1.59734i | 0.0719614 | + | 0.192297i | ||||
\(70\) | 1.32257 | + | 1.95901i | 0.158077 | + | 0.234146i | ||||
\(71\) | 1.96994 | + | 4.42456i | 0.233789 | + | 0.525098i | 0.991899 | − | 0.127028i | \(-0.0405439\pi\) |
−0.758110 | + | 0.652126i | \(0.773877\pi\) | |||||||
\(72\) | 0.673130 | − | 2.92351i | 0.0793292 | − | 0.344539i | ||||
\(73\) | 0.618634 | + | 5.88591i | 0.0724056 | + | 0.688893i | 0.969171 | + | 0.246388i | \(0.0792436\pi\) |
−0.896766 | + | 0.442506i | \(0.854090\pi\) | |||||||
\(74\) | −1.90081 | + | 2.11106i | −0.220965 | + | 0.245406i | ||||
\(75\) | −6.28870 | − | 5.95418i | −0.726157 | − | 0.687529i | ||||
\(76\) | −0.164073 | + | 1.56105i | −0.0188204 | + | 0.179064i | ||||
\(77\) | 5.61730 | + | 1.82517i | 0.640151 | + | 0.207998i | ||||
\(78\) | −3.39760 | − | 6.80950i | −0.384702 | − | 0.771024i | ||||
\(79\) | 1.25402 | + | 0.131803i | 0.141088 | + | 0.0148290i | 0.174809 | − | 0.984602i | \(-0.444069\pi\) |
−0.0337210 | + | 0.999431i | \(0.510736\pi\) | |||||||
\(80\) | −2.07289 | + | 0.838519i | −0.231756 | + | 0.0937493i | ||||
\(81\) | −6.24429 | + | 6.48142i | −0.693810 | + | 0.720158i | ||||
\(82\) | 8.62167 | − | 0.906174i | 0.952104 | − | 0.100070i | ||||
\(83\) | −1.73950 | + | 8.18370i | −0.190935 | + | 0.898277i | 0.773467 | + | 0.633836i | \(0.218521\pi\) |
−0.964402 | + | 0.264441i | \(0.914813\pi\) | |||||||
\(84\) | −1.70369 | − | 0.670520i | −0.185887 | − | 0.0731597i | ||||
\(85\) | −0.0407882 | − | 0.0604161i | −0.00442410 | − | 0.00655305i | ||||
\(86\) | −7.77159 | − | 3.46013i | −0.838032 | − | 0.373116i | ||||
\(87\) | −5.44131 | − | 1.50728i | −0.583370 | − | 0.161598i | ||||
\(88\) | −2.79377 | + | 4.83895i | −0.297817 | + | 0.515834i | ||||
\(89\) | −3.24086 | + | 2.35462i | −0.343531 | + | 0.249590i | −0.746150 | − | 0.665778i | \(-0.768100\pi\) |
0.402619 | + | 0.915368i | \(0.368100\pi\) | |||||||
\(90\) | 6.62667 | + | 1.04270i | 0.698513 | + | 0.109910i | ||||
\(91\) | −4.41707 | + | 1.43519i | −0.463035 | + | 0.150449i | ||||
\(92\) | 0.984682i | 0.102660i | ||||||||
\(93\) | −9.64365 | 0.000879429i | −1.00000 | 9.11925e-5i | ||||||
\(94\) | 11.4495 | 1.18092 | ||||||||
\(95\) | −3.50775 | − | 0.121014i | −0.359887 | − | 0.0124157i | ||||
\(96\) | 0.955557 | − | 1.44461i | 0.0975262 | − | 0.147440i | ||||
\(97\) | 3.22614 | + | 4.44041i | 0.327565 | + | 0.450855i | 0.940758 | − | 0.339078i | \(-0.110115\pi\) |
−0.613193 | + | 0.789933i | \(0.710115\pi\) | |||||||
\(98\) | 2.94131 | − | 5.09450i | 0.297117 | − | 0.514622i | ||||
\(99\) | 14.6561 | − | 8.13532i | 1.47300 | − | 0.817631i | ||||
\(100\) | −2.19564 | − | 4.49212i | −0.219564 | − | 0.449212i | ||||
\(101\) | 7.01075 | − | 9.64948i | 0.697596 | − | 0.960159i | −0.302380 | − | 0.953188i | \(-0.597781\pi\) |
0.999976 | − | 0.00697110i | \(-0.00221899\pi\) | |||||||
\(102\) | 0.0525419 | + | 0.0206789i | 0.00520243 | + | 0.00204752i | ||||
\(103\) | −2.89831 | + | 13.6355i | −0.285579 | + | 1.34354i | 0.568192 | + | 0.822896i | \(0.307643\pi\) |
−0.853771 | + | 0.520648i | \(0.825690\pi\) | |||||||
\(104\) | −0.459264 | − | 4.36960i | −0.0450345 | − | 0.428475i | ||||
\(105\) | 1.22829 | − | 3.90538i | 0.119869 | − | 0.381126i | ||||
\(106\) | 1.97719 | − | 1.78027i | 0.192042 | − | 0.172915i | ||||
\(107\) | 1.89383 | − | 18.0186i | 0.183083 | − | 1.74192i | −0.388564 | − | 0.921422i | \(-0.627029\pi\) |
0.571647 | − | 0.820500i | \(-0.306305\pi\) | |||||||
\(108\) | −4.68799 | + | 2.24115i | −0.451102 | + | 0.215654i | ||||
\(109\) | 3.70649 | − | 11.4074i | 0.355017 | − | 1.09263i | −0.600982 | − | 0.799262i | \(-0.705224\pi\) |
0.956000 | − | 0.293368i | \(-0.0947761\pi\) | |||||||
\(110\) | −11.2320 | − | 5.47233i | −1.07092 | − | 0.521766i | ||||
\(111\) | 4.91118 | + | 0.298928i | 0.466148 | + | 0.0283730i | ||||
\(112\) | −0.785550 | − | 0.707313i | −0.0742275 | − | 0.0668348i | ||||
\(113\) | 0.172416 | + | 1.64043i | 0.0162196 | + | 0.154319i | 0.999634 | − | 0.0270539i | \(-0.00861257\pi\) |
−0.983414 | + | 0.181373i | \(0.941946\pi\) | |||||||
\(114\) | 2.29250 | − | 1.46143i | 0.214712 | − | 0.136876i | ||||
\(115\) | −2.19639 | + | 0.154516i | −0.204814 | + | 0.0144087i | ||||
\(116\) | −2.63727 | − | 1.91609i | −0.244865 | − | 0.177904i | ||||
\(117\) | −5.56349 | + | 11.9493i | −0.514345 | + | 1.10472i | ||||
\(118\) | 7.70144 | − | 4.44643i | 0.708975 | − | 0.409327i | ||||
\(119\) | 0.0172301 | − | 0.0298434i | 0.00157948 | − | 0.00273574i | ||||
\(120\) | 3.37224 | + | 1.90473i | 0.307842 | + | 0.173878i | ||||
\(121\) | −19.7788 | + | 4.20411i | −1.79807 | + | 0.382191i | ||||
\(122\) | 0.238209 | − | 0.0773986i | 0.0215664 | − | 0.00700734i | ||||
\(123\) | −10.5276 | − | 10.7067i | −0.949242 | − | 0.965387i | ||||
\(124\) | −5.21477 | − | 1.95093i | −0.468300 | − | 0.175199i | ||||
\(125\) | 9.67538 | − | 5.60240i | 0.865393 | − | 0.501094i | ||||
\(126\) | 0.928952 | + | 3.03207i | 0.0827576 | + | 0.270119i | ||||
\(127\) | 3.68423 | − | 0.783108i | 0.326923 | − | 0.0694896i | −0.0415266 | − | 0.999137i | \(-0.513222\pi\) |
0.368449 | + | 0.929648i | \(0.379889\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | 3.69347 | + | 14.2642i | 0.325192 | + | 1.25590i | ||||
\(130\) | 9.67457 | − | 1.71009i | 0.848516 | − | 0.149985i | ||||
\(131\) | −2.93056 | + | 6.58214i | −0.256044 | + | 0.575085i | −0.995135 | − | 0.0985213i | \(-0.968589\pi\) |
0.739091 | + | 0.673606i | \(0.235255\pi\) | |||||||
\(132\) | 9.57118 | − | 1.43331i | 0.833065 | − | 0.124753i | ||||
\(133\) | −0.674862 | − | 1.51577i | −0.0585180 | − | 0.131434i | ||||
\(134\) | 1.21397 | − | 5.71128i | 0.104871 | − | 0.493380i | ||||
\(135\) | −5.73464 | − | 10.1051i | −0.493559 | − | 0.869712i | ||||
\(136\) | 0.0242265 | + | 0.0218136i | 0.00207740 | + | 0.00187050i | ||||
\(137\) | 5.97740 | − | 5.38208i | 0.510684 | − | 0.459822i | −0.373050 | − | 0.927811i | \(-0.621688\pi\) |
0.883734 | + | 0.467989i | \(0.155021\pi\) | |||||||
\(138\) | 1.33444 | − | 1.06210i | 0.113595 | − | 0.0904123i | ||||
\(139\) | −19.2937 | − | 6.26889i | −1.63647 | − | 0.531721i | −0.660723 | − | 0.750630i | \(-0.729750\pi\) |
−0.975745 | + | 0.218910i | \(0.929750\pi\) | |||||||
\(140\) | 1.45443 | − | 1.86320i | 0.122922 | − | 0.157470i | ||||
\(141\) | −12.3497 | − | 15.5163i | −1.04003 | − | 1.30671i | ||||
\(142\) | 3.59926 | − | 3.24079i | 0.302043 | − | 0.271961i | ||||
\(143\) | 16.4270 | − | 18.2441i | 1.37370 | − | 1.52565i | ||||
\(144\) | −2.98843 | + | 0.263228i | −0.249036 | + | 0.0219357i | ||||
\(145\) | 3.86010 | − | 6.18325i | 0.320564 | − | 0.513491i | ||||
\(146\) | 5.40666 | − | 2.40720i | 0.447458 | − | 0.199221i | ||||
\(147\) | −10.0766 | + | 1.50900i | −0.831107 | + | 0.124460i | ||||
\(148\) | 2.59512 | + | 1.15542i | 0.213318 | + | 0.0949752i | ||||
\(149\) | 6.41978 | − | 3.70646i | 0.525929 | − | 0.303645i | −0.213428 | − | 0.976959i | \(-0.568463\pi\) |
0.739357 | + | 0.673314i | \(0.235130\pi\) | |||||||
\(150\) | −3.71944 | + | 7.82085i | −0.303691 | + | 0.638570i | ||||
\(151\) | −8.27762 | − | 11.3932i | −0.673623 | − | 0.927163i | 0.326213 | − | 0.945296i | \(-0.394227\pi\) |
−0.999836 | + | 0.0181339i | \(0.994227\pi\) | |||||||
\(152\) | 1.53534 | − | 0.326347i | 0.124533 | − | 0.0264703i | ||||
\(153\) | −0.0286490 | − | 0.0935096i | −0.00231614 | − | 0.00755981i | ||||
\(154\) | − | 5.90638i | − | 0.475950i | ||||||
\(155\) | 3.53336 | − | 11.9380i | 0.283806 | − | 0.958882i | ||||
\(156\) | −5.42631 | + | 5.33556i | −0.434452 | + | 0.427187i | ||||
\(157\) | 5.38023 | − | 1.74814i | 0.429389 | − | 0.139517i | −0.0863458 | − | 0.996265i | \(-0.527519\pi\) |
0.515735 | + | 0.856748i | \(0.327519\pi\) | |||||||
\(158\) | −0.262162 | − | 1.23337i | −0.0208565 | − | 0.0981220i | ||||
\(159\) | −4.54528 | − | 0.759241i | −0.360464 | − | 0.0602118i | ||||
\(160\) | 1.43804 | + | 1.71232i | 0.113687 | + | 0.135371i | ||||
\(161\) | −0.520435 | − | 0.901420i | −0.0410161 | − | 0.0710419i | ||||
\(162\) | 8.09379 | + | 3.93580i | 0.635908 | + | 0.309226i | ||||
\(163\) | 0.0603807 | − | 0.0831069i | 0.00472938 | − | 0.00650944i | −0.806646 | − | 0.591035i | \(-0.798719\pi\) |
0.811375 | + | 0.584526i | \(0.198719\pi\) | |||||||
\(164\) | −3.52606 | − | 7.91967i | −0.275339 | − | 0.618422i | ||||
\(165\) | 4.69898 | + | 21.1241i | 0.365815 | + | 1.64451i | ||||
\(166\) | 8.32069 | − | 0.874540i | 0.645811 | − | 0.0678775i | ||||
\(167\) | −12.9391 | − | 11.6504i | −1.00126 | − | 0.901535i | −0.00611368 | − | 0.999981i | \(-0.501946\pi\) |
−0.995142 | + | 0.0984463i | \(0.968613\pi\) | |||||||
\(168\) | −0.111234 | + | 1.82750i | −0.00858192 | + | 0.140995i | ||||
\(169\) | −0.658983 | + | 6.26980i | −0.0506910 | + | 0.482292i | ||||
\(170\) | −0.0448549 | + | 0.0574615i | −0.00344021 | + | 0.00440710i | ||||
\(171\) | −4.45329 | − | 1.53045i | −0.340551 | − | 0.117037i | ||||
\(172\) | −0.889230 | + | 8.46046i | −0.0678032 | + | 0.645104i | ||||
\(173\) | 4.76607 | + | 5.29326i | 0.362358 | + | 0.402439i | 0.896563 | − | 0.442916i | \(-0.146056\pi\) |
−0.534206 | + | 0.845355i | \(0.679389\pi\) | |||||||
\(174\) | 0.247947 | + | 5.64077i | 0.0187968 | + | 0.427626i | ||||
\(175\) | 4.38421 | + | 2.95182i | 0.331415 | + | 0.223136i | ||||
\(176\) | 5.46544 | + | 1.16172i | 0.411973 | + | 0.0875676i | ||||
\(177\) | −14.3328 | − | 5.64095i | −1.07732 | − | 0.424000i | ||||
\(178\) | 3.24086 | + | 2.35462i | 0.242913 | + | 0.176487i | ||||
\(179\) | −19.2074 | − | 8.55171i | −1.43563 | − | 0.639185i | −0.466230 | − | 0.884664i | \(-0.654388\pi\) |
−0.969402 | + | 0.245479i | \(0.921055\pi\) | |||||||
\(180\) | −1.05609 | − | 6.62455i | −0.0787163 | − | 0.493765i | ||||
\(181\) | 1.82850 | + | 1.05568i | 0.135911 | + | 0.0784684i | 0.566414 | − | 0.824121i | \(-0.308330\pi\) |
−0.430503 | + | 0.902589i | \(0.641664\pi\) | |||||||
\(182\) | 2.72990 | + | 3.75738i | 0.202354 | + | 0.278516i | ||||
\(183\) | −0.361829 | − | 0.239336i | −0.0267471 | − | 0.0176922i | ||||
\(184\) | 0.936489 | − | 0.304284i | 0.0690389 | − | 0.0224321i | ||||
\(185\) | −2.17001 | + | 5.96988i | −0.159542 | + | 0.438914i | ||||
\(186\) | 2.98089 | + | 9.17139i | 0.218569 | + | 0.672479i | ||||
\(187\) | 0.182154i | 0.0133204i | ||||||||
\(188\) | −3.53808 | − | 10.8891i | −0.258041 | − | 0.794168i | ||||
\(189\) | 3.10707 | − | 4.52939i | 0.226006 | − | 0.329465i | ||||
\(190\) | 0.968862 | + | 3.37346i | 0.0702886 | + | 0.244736i | ||||
\(191\) | 22.5667 | + | 13.0289i | 1.63287 | + | 0.942739i | 0.983201 | + | 0.182523i | \(0.0584265\pi\) |
0.649671 | + | 0.760216i | \(0.274907\pi\) | |||||||
\(192\) | −1.66919 | − | 0.462379i | −0.120464 | − | 0.0333693i | ||||
\(193\) | −3.70784 | + | 8.32794i | −0.266896 | + | 0.599458i | −0.996424 | − | 0.0844926i | \(-0.973073\pi\) |
0.729528 | + | 0.683951i | \(0.239740\pi\) | |||||||
\(194\) | 3.22614 | − | 4.44041i | 0.231624 | − | 0.318803i | ||||
\(195\) | −12.7528 | − | 11.2664i | −0.913244 | − | 0.806805i | ||||
\(196\) | −5.75407 | − | 1.22307i | −0.411005 | − | 0.0873618i | ||||
\(197\) | −5.96949 | + | 0.627419i | −0.425309 | + | 0.0447018i | −0.314765 | − | 0.949170i | \(-0.601926\pi\) |
−0.110543 | + | 0.993871i | \(0.535259\pi\) | |||||||
\(198\) | −12.2661 | − | 11.4249i | −0.871717 | − | 0.811929i | ||||
\(199\) | −0.869990 | + | 0.783342i | −0.0616720 | + | 0.0555297i | −0.699390 | − | 0.714740i | \(-0.746545\pi\) |
0.637718 | + | 0.770270i | \(0.279878\pi\) | |||||||
\(200\) | −3.59377 | + | 3.47632i | −0.254118 | + | 0.245813i | ||||
\(201\) | −9.04935 | + | 4.51517i | −0.638292 | + | 0.318475i | ||||
\(202\) | −11.3436 | − | 3.68577i | −0.798136 | − | 0.259330i | ||||
\(203\) | 3.42698 | + | 0.360191i | 0.240527 | + | 0.0252804i | ||||
\(204\) | 0.00343049 | − | 0.0563605i | 0.000240182 | − | 0.00394602i | ||||
\(205\) | 17.1119 | − | 9.10783i | 1.19515 | − | 0.636119i | ||||
\(206\) | 13.8637 | − | 1.45714i | 0.965933 | − | 0.101524i | ||||
\(207\) | −2.87873 | − | 0.662820i | −0.200085 | − | 0.0460692i | ||||
\(208\) | −4.01382 | + | 1.78707i | −0.278308 | + | 0.123911i | ||||
\(209\) | 7.09545 | + | 5.15514i | 0.490802 | + | 0.356589i | ||||
\(210\) | −4.09380 | + | 0.0386574i | −0.282499 | + | 0.00266761i | ||||
\(211\) | 7.46370 | + | 12.9275i | 0.513822 | + | 0.889966i | 0.999871 | + | 0.0160349i | \(0.00510428\pi\) |
−0.486049 | + | 0.873931i | \(0.661562\pi\) | |||||||
\(212\) | −2.30413 | − | 1.33029i | −0.158248 | − | 0.0913645i | ||||
\(213\) | −8.27416 | − | 1.38211i | −0.566936 | − | 0.0947009i | ||||
\(214\) | −17.7219 | + | 3.76691i | −1.21144 | + | 0.257501i | ||||
\(215\) | −19.0111 | − | 0.655862i | −1.29654 | − | 0.0447294i | ||||
\(216\) | 3.58013 | + | 3.76599i | 0.243597 | + | 0.256243i | ||||
\(217\) | 5.80496 | − | 0.970202i | 0.394066 | − | 0.0658616i | ||||
\(218\) | −11.9944 | −0.812366 | ||||||||
\(219\) | −9.09400 | − | 4.73063i | −0.614516 | − | 0.319667i | ||||
\(220\) | −1.73363 | + | 12.3733i | −0.116882 | + | 0.834205i | ||||
\(221\) | −0.0841905 | − | 0.115878i | −0.00566327 | − | 0.00779482i | ||||
\(222\) | −1.23334 | − | 4.76318i | −0.0827763 | − | 0.319684i | ||||
\(223\) | −1.52543 | − | 2.64212i | −0.102150 | − | 0.176929i | 0.810420 | − | 0.585849i | \(-0.199239\pi\) |
−0.912570 | + | 0.408920i | \(0.865906\pi\) | |||||||
\(224\) | −0.429946 | + | 0.965674i | −0.0287270 | + | 0.0645218i | ||||
\(225\) | 14.6107 | − | 3.39519i | 0.974047 | − | 0.226346i | ||||
\(226\) | 1.50687 | − | 0.670900i | 0.100235 | − | 0.0446276i | ||||
\(227\) | −22.7842 | − | 4.84292i | −1.51224 | − | 0.321436i | −0.624221 | − | 0.781248i | \(-0.714584\pi\) |
−0.888016 | + | 0.459812i | \(0.847917\pi\) | |||||||
\(228\) | −2.09833 | − | 1.72869i | −0.138965 | − | 0.114485i | ||||
\(229\) | 9.28677 | + | 8.36184i | 0.613687 | + | 0.552566i | 0.916272 | − | 0.400556i | \(-0.131183\pi\) |
−0.302585 | + | 0.953122i | \(0.597850\pi\) | |||||||
\(230\) | 0.825675 | + | 2.04114i | 0.0544434 | + | 0.134589i | ||||
\(231\) | −8.00432 | + | 6.37078i | −0.526646 | + | 0.419166i | ||||
\(232\) | −1.00735 | + | 3.10030i | −0.0661356 | + | 0.203545i | ||||
\(233\) | −7.76743 | + | 23.9057i | −0.508861 | + | 1.56611i | 0.285319 | + | 0.958433i | \(0.407900\pi\) |
−0.794180 | + | 0.607682i | \(0.792100\pi\) | |||||||
\(234\) | 13.0837 | + | 1.59865i | 0.855309 | + | 0.104507i | ||||
\(235\) | 23.7335 | − | 9.60059i | 1.54820 | − | 0.626274i | ||||
\(236\) | −6.60868 | − | 5.95048i | −0.430188 | − | 0.387343i | ||||
\(237\) | −1.38869 | + | 1.68563i | −0.0902053 | + | 0.109494i | ||||
\(238\) | −0.0337072 | − | 0.00716468i | −0.00218491 | − | 0.000464417i | ||||
\(239\) | 6.77508 | − | 3.01646i | 0.438244 | − | 0.195119i | −0.175741 | − | 0.984436i | \(-0.556232\pi\) |
0.613985 | + | 0.789318i | \(0.289566\pi\) | |||||||
\(240\) | 0.769431 | − | 3.79578i | 0.0496666 | − | 0.245017i | ||||
\(241\) | −5.75747 | + | 12.9315i | −0.370871 | + | 0.832991i | 0.627643 | + | 0.778501i | \(0.284020\pi\) |
−0.998514 | + | 0.0544894i | \(0.982647\pi\) | |||||||
\(242\) | 10.1103 | + | 17.5116i | 0.649916 | + | 1.12569i | ||||
\(243\) | −3.39638 | − | 15.2140i | −0.217878 | − | 0.975976i | ||||
\(244\) | −0.147221 | − | 0.202632i | −0.00942486 | − | 0.0129722i | ||||
\(245\) | 1.82519 | − | 13.0267i | 0.116607 | − | 0.832245i | ||||
\(246\) | −6.92943 | + | 13.3209i | −0.441804 | + | 0.849309i | ||||
\(247\) | −6.89650 | −0.438814 | ||||||||
\(248\) | −0.243994 | + | 5.56242i | −0.0154936 | + | 0.353214i | ||||
\(249\) | −10.1601 | − | 10.3329i | −0.643870 | − | 0.654821i | ||||
\(250\) | −8.31806 | − | 7.47060i | −0.526080 | − | 0.472482i | ||||
\(251\) | 27.3650 | − | 5.81662i | 1.72727 | − | 0.367142i | 0.766016 | − | 0.642821i | \(-0.222236\pi\) |
0.961250 | + | 0.275679i | \(0.0889028\pi\) | |||||||
\(252\) | 2.59661 | − | 1.82045i | 0.163571 | − | 0.114677i | ||||
\(253\) | 4.76483 | + | 2.75098i | 0.299562 | + | 0.172952i | ||||
\(254\) | −1.88327 | − | 3.26192i | −0.118167 | − | 0.204671i | ||||
\(255\) | 0.126253 | − | 0.00119220i | 0.00790630 | − | 7.46584e-5i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −18.0237 | + | 8.02467i | −1.12429 | + | 0.500565i | −0.882758 | − | 0.469828i | \(-0.844316\pi\) |
−0.241530 | + | 0.970393i | \(0.577649\pi\) | |||||||
\(258\) | 12.4248 | − | 7.92059i | 0.773532 | − | 0.493115i | ||||
\(259\) | −2.98636 | + | 0.313880i | −0.185564 | + | 0.0195035i | ||||
\(260\) | −4.61600 | − | 8.67261i | −0.286272 | − | 0.537853i | ||||
\(261\) | 7.37693 | − | 6.42030i | 0.456621 | − | 0.397407i | ||||
\(262\) | 7.16558 | + | 0.753133i | 0.442691 | + | 0.0465287i | ||||
\(263\) | 21.7415 | + | 7.06423i | 1.34064 | + | 0.435599i | 0.889532 | − | 0.456873i | \(-0.151030\pi\) |
0.451104 | + | 0.892472i | \(0.351030\pi\) | |||||||
\(264\) | −4.32081 | − | 8.65982i | −0.265928 | − | 0.532975i | ||||
\(265\) | 2.60572 | − | 5.34823i | 0.160068 | − | 0.328539i | ||||
\(266\) | −1.23303 | + | 1.11023i | −0.0756022 | + | 0.0680725i | ||||
\(267\) | −0.304694 | − | 6.93178i | −0.0186470 | − | 0.424218i | ||||
\(268\) | −5.80689 | + | 0.610329i | −0.354712 | + | 0.0372818i | ||||
\(269\) | 5.41121 | + | 1.15019i | 0.329927 | + | 0.0701282i | 0.369897 | − | 0.929073i | \(-0.379393\pi\) |
−0.0399700 | + | 0.999201i | \(0.512726\pi\) | |||||||
\(270\) | −7.83846 | + | 8.57663i | −0.477034 | + | 0.521957i | ||||
\(271\) | 6.06162 | − | 8.34311i | 0.368217 | − | 0.506808i | −0.584198 | − | 0.811611i | \(-0.698591\pi\) |
0.952415 | + | 0.304803i | \(0.0985908\pi\) | |||||||
\(272\) | 0.0132596 | − | 0.0297815i | 0.000803981 | − | 0.00180577i | ||||
\(273\) | 2.14746 | − | 7.75237i | 0.129970 | − | 0.469195i | ||||
\(274\) | −6.96578 | − | 4.02169i | −0.420818 | − | 0.242959i | ||||
\(275\) | −27.8713 | − | 1.92535i | −1.68070 | − | 0.116103i | ||||
\(276\) | −1.42249 | − | 0.940921i | −0.0856236 | − | 0.0566368i | ||||
\(277\) | −4.69118 | − | 14.4380i | −0.281866 | − | 0.867493i | −0.987321 | − | 0.158738i | \(-0.949257\pi\) |
0.705455 | − | 0.708755i | \(-0.250743\pi\) | |||||||
\(278\) | 20.2866i | 1.21671i | ||||||||
\(279\) | 9.21379 | − | 13.9322i | 0.551615 | − | 0.834099i | ||||
\(280\) | −2.22146 | − | 0.807485i | −0.132757 | − | 0.0482564i | ||||
\(281\) | 8.59698 | − | 2.79333i | 0.512853 | − | 0.166636i | −0.0411463 | − | 0.999153i | \(-0.513101\pi\) |
0.553999 | + | 0.832517i | \(0.313101\pi\) | |||||||
\(282\) | −10.9406 | + | 16.5401i | −0.651504 | + | 0.984946i | ||||
\(283\) | −12.3794 | − | 17.0388i | −0.735880 | − | 1.01285i | −0.998845 | − | 0.0480464i | \(-0.984700\pi\) |
0.262965 | − | 0.964805i | \(-0.415300\pi\) | |||||||
\(284\) | −4.19440 | − | 2.42164i | −0.248892 | − | 0.143698i | ||||
\(285\) | 3.52667 | − | 4.95170i | 0.208902 | − | 0.293314i | ||||
\(286\) | −22.4274 | − | 9.98531i | −1.32616 | − | 0.590444i | ||||
\(287\) | 7.41370 | + | 5.38637i | 0.437617 | + | 0.317947i | ||||
\(288\) | 1.17382 | + | 2.76082i | 0.0691680 | + | 0.162683i | ||||
\(289\) | −16.6275 | − | 3.53428i | −0.978086 | − | 0.207899i | ||||
\(290\) | −7.07346 | − | 1.76045i | −0.415368 | − | 0.103377i | ||||
\(291\) | −9.49744 | + | 0.417471i | −0.556750 | + | 0.0244726i | ||||
\(292\) | −3.96013 | − | 4.39817i | −0.231749 | − | 0.257384i | ||||
\(293\) | −1.50723 | + | 14.3404i | −0.0880536 | + | 0.837774i | 0.857975 | + | 0.513691i | \(0.171722\pi\) |
−0.946029 | + | 0.324083i | \(0.894944\pi\) | |||||||
\(294\) | 4.54899 | + | 9.11714i | 0.265303 | + | 0.531723i | ||||
\(295\) | 12.2358 | − | 15.6748i | 0.712398 | − | 0.912621i | ||||
\(296\) | 0.296936 | − | 2.82515i | 0.0172590 | − | 0.164209i | ||||
\(297\) | −2.25237 | + | 28.9462i | −0.130696 | + | 1.67963i | ||||
\(298\) | −5.50888 | − | 4.96021i | −0.319121 | − | 0.287337i | ||||
\(299\) | −4.30267 | + | 0.452229i | −0.248830 | + | 0.0261531i | ||||
\(300\) | 8.58744 | + | 1.12062i | 0.495796 | + | 0.0646993i | ||||
\(301\) | −3.65758 | − | 8.21505i | −0.210819 | − | 0.473508i | ||||
\(302\) | −8.27762 | + | 11.3932i | −0.476323 | + | 0.655603i | ||||
\(303\) | 7.24059 | + | 19.3485i | 0.415961 | + | 1.11154i | ||||
\(304\) | −0.784822 | − | 1.35935i | −0.0450126 | − | 0.0779642i | ||||
\(305\) | 0.428881 | − | 0.360182i | 0.0245576 | − | 0.0206239i | ||||
\(306\) | −0.0800799 | + | 0.0561429i | −0.00457786 | + | 0.00320948i | ||||
\(307\) | 6.92495 | + | 32.5793i | 0.395228 | + | 1.85940i | 0.501636 | + | 0.865079i | \(0.332732\pi\) |
−0.106408 | + | 0.994323i | \(0.533935\pi\) | |||||||
\(308\) | −5.61730 | + | 1.82517i | −0.320075 | + | 0.103999i | ||||
\(309\) | −16.9285 | − | 17.2164i | −0.963029 | − | 0.979408i | ||||
\(310\) | −12.4456 | + | 0.328612i | −0.706860 | + | 0.0186639i | ||||
\(311\) | 24.6367i | 1.39702i | 0.715601 | + | 0.698510i | \(0.246153\pi\) | ||||
−0.715601 | + | 0.698510i | \(0.753847\pi\) | |||||||
\(312\) | 6.75124 | + | 3.51195i | 0.382214 | + | 0.198825i | ||||
\(313\) | 0.403659 | − | 0.0858003i | 0.0228161 | − | 0.00484972i | −0.196489 | − | 0.980506i | \(-0.562954\pi\) |
0.219306 | + | 0.975656i | \(0.429621\pi\) | |||||||
\(314\) | −3.32516 | − | 4.57670i | −0.187650 | − | 0.258278i | ||||
\(315\) | 4.46807 | + | 5.50622i | 0.251747 | + | 0.310240i | ||||
\(316\) | −1.09200 | + | 0.630464i | −0.0614296 | + | 0.0354664i | ||||
\(317\) | −18.3189 | − | 8.15610i | −1.02889 | − | 0.458092i | −0.178332 | − | 0.983970i | \(-0.557070\pi\) |
−0.850560 | + | 0.525878i | \(0.823737\pi\) | |||||||
\(318\) | 0.682486 | + | 4.55743i | 0.0382719 | + | 0.255568i | ||||
\(319\) | −16.6398 | + | 7.40852i | −0.931650 | + | 0.414797i | ||||
\(320\) | 1.18414 | − | 1.89679i | 0.0661952 | − | 0.106034i | ||||
\(321\) | 24.2202 | + | 19.9536i | 1.35184 | + | 1.11370i | ||||
\(322\) | −0.696478 | + | 0.773518i | −0.0388132 | + | 0.0431065i | ||||
\(323\) | 0.0380270 | − | 0.0342396i | 0.00211588 | − | 0.00190514i | ||||
\(324\) | 1.24205 | − | 8.91388i | 0.0690029 | − | 0.495216i | ||||
\(325\) | 18.6204 | − | 11.6571i | 1.03287 | − | 0.646622i | ||||
\(326\) | −0.0976980 | − | 0.0317440i | −0.00541099 | − | 0.00175814i | ||||
\(327\) | 12.9375 | + | 16.2549i | 0.715447 | + | 0.898896i | ||||
\(328\) | −6.44244 | + | 5.80080i | −0.355724 | + | 0.320296i | ||||
\(329\) | 8.99413 | + | 8.09835i | 0.495862 | + | 0.446477i | ||||
\(330\) | 18.6382 | − | 10.9967i | 1.02600 | − | 0.605349i | ||||
\(331\) | −1.41565 | + | 6.66013i | −0.0778114 | + | 0.366074i | −0.999775 | − | 0.0212022i | \(-0.993251\pi\) |
0.921964 | + | 0.387276i | \(0.126584\pi\) | |||||||
\(332\) | −3.40297 | − | 7.64320i | −0.186762 | − | 0.419475i | ||||
\(333\) | −5.12475 | + | 6.80911i | −0.280834 | + | 0.373137i | ||||
\(334\) | −7.08179 | + | 15.9060i | −0.387498 | + | 0.870336i | ||||
\(335\) | −2.27259 | − | 12.8568i | −0.124165 | − | 0.702443i | ||||
\(336\) | 1.77243 | − | 0.458939i | 0.0966941 | − | 0.0250372i | ||||
\(337\) | −29.1904 | + | 21.2081i | −1.59010 | + | 1.15528i | −0.686310 | + | 0.727309i | \(0.740771\pi\) |
−0.903794 | + | 0.427968i | \(0.859229\pi\) | |||||||
\(338\) | 6.16657 | − | 1.31075i | 0.335417 | − | 0.0712952i | ||||
\(339\) | −2.53455 | − | 1.31845i | −0.137658 | − | 0.0716085i | ||||
\(340\) | 0.0685101 | + | 0.0249029i | 0.00371548 | + | 0.00135055i | ||||
\(341\) | −24.0094 | + | 19.7836i | −1.30018 | + | 1.07134i | ||||
\(342\) | −0.0794076 | + | 4.70826i | −0.00429387 | + | 0.254594i | ||||
\(343\) | 12.9512 | − | 4.20811i | 0.699301 | − | 0.227217i | ||||
\(344\) | 8.32116 | − | 1.76872i | 0.448647 | − | 0.0953629i | ||||
\(345\) | 1.87556 | − | 3.32058i | 0.100977 | − | 0.178774i | ||||
\(346\) | 3.56139 | − | 6.16851i | 0.191462 | − | 0.331621i | ||||
\(347\) | 22.6568 | − | 13.0809i | 1.21628 | − | 0.702220i | 0.252160 | − | 0.967686i | \(-0.418859\pi\) |
0.964120 | + | 0.265466i | \(0.0855258\pi\) | |||||||
\(348\) | 5.28807 | − | 1.97891i | 0.283471 | − | 0.106081i | ||||
\(349\) | −8.15708 | − | 5.92647i | −0.436639 | − | 0.317237i | 0.347659 | − | 0.937621i | \(-0.386977\pi\) |
−0.784298 | + | 0.620384i | \(0.786977\pi\) | |||||||
\(350\) | 1.45255 | − | 5.08179i | 0.0776419 | − | 0.271633i | ||||
\(351\) | −11.9459 | − | 19.4554i | −0.637627 | − | 1.03845i | ||||
\(352\) | −0.584057 | − | 5.55693i | −0.0311304 | − | 0.296186i | ||||
\(353\) | −16.9214 | − | 15.2361i | −0.900635 | − | 0.810935i | 0.0819720 | − | 0.996635i | \(-0.473878\pi\) |
−0.982607 | + | 0.185700i | \(0.940545\pi\) | |||||||
\(354\) | −0.935793 | + | 15.3744i | −0.0497368 | + | 0.817142i | ||||
\(355\) | 4.74341 | − | 9.73585i | 0.251754 | − | 0.516725i | ||||
\(356\) | 1.23790 | − | 3.80986i | 0.0656085 | − | 0.201922i | ||||
\(357\) | 0.0266479 | + | 0.0534079i | 0.00141035 | + | 0.00282665i | ||||
\(358\) | −2.19773 | + | 20.9100i | −0.116154 | + | 1.10513i | ||||
\(359\) | −12.3573 | + | 11.1266i | −0.652193 | + | 0.587237i | −0.927365 | − | 0.374158i | \(-0.877932\pi\) |
0.275172 | + | 0.961395i | \(0.411265\pi\) | |||||||
\(360\) | −5.97397 | + | 3.05150i | −0.314856 | + | 0.160828i | ||||
\(361\) | 1.72851 | + | 16.4456i | 0.0909740 | + | 0.865559i | ||||
\(362\) | 0.438978 | − | 2.06523i | 0.0230722 | − | 0.108546i | ||||
\(363\) | 12.8264 | − | 32.5899i | 0.673213 | − | 1.71053i | ||||
\(364\) | 2.72990 | − | 3.75738i | 0.143086 | − | 0.196940i | ||||
\(365\) | 9.18895 | − | 9.52346i | 0.480971 | − | 0.498481i | ||||
\(366\) | −0.115811 | + | 0.418078i | −0.00605352 | + | 0.0218533i | ||||
\(367\) | 5.60684 | − | 9.71134i | 0.292675 | − | 0.506928i | −0.681766 | − | 0.731570i | \(-0.738788\pi\) |
0.974441 | + | 0.224642i | \(0.0721213\pi\) | |||||||
\(368\) | −0.578782 | − | 0.796625i | −0.0301711 | − | 0.0415269i | ||||
\(369\) | 25.5267 | − | 4.97750i | 1.32887 | − | 0.259119i | ||||
\(370\) | 6.34826 | + | 0.219008i | 0.330030 | + | 0.0113857i | ||||
\(371\) | 2.81239 | 0.146012 | ||||||||
\(372\) | 7.80136 | − | 5.66911i | 0.404482 | − | 0.293930i | ||||
\(373\) | 12.0487i | 0.623857i | 0.950106 | + | 0.311929i | \(0.100975\pi\) | ||||
−0.950106 | + | 0.311929i | \(0.899025\pi\) | |||||||
\(374\) | 0.173238 | − | 0.0562886i | 0.00895795 | − | 0.00291061i | ||||
\(375\) | −1.15207 | + | 19.3306i | −0.0594928 | + | 0.998229i | ||||
\(376\) | −9.26281 | + | 6.72983i | −0.477693 | + | 0.347064i | ||||
\(377\) | 7.16135 | − | 12.4038i | 0.368828 | − | 0.638829i | ||||
\(378\) | −5.26784 | − | 1.55534i | −0.270949 | − | 0.0799982i | ||||
\(379\) | 27.5295 | + | 12.2569i | 1.41409 | + | 0.629595i | 0.964607 | − | 0.263692i | \(-0.0849401\pi\) |
0.449487 | + | 0.893287i | \(0.351607\pi\) | |||||||
\(380\) | 2.90896 | − | 1.96390i | 0.149226 | − | 0.100746i | ||||
\(381\) | −2.38921 | + | 6.07060i | −0.122403 | + | 0.311006i | ||||
\(382\) | 5.41773 | − | 25.4884i | 0.277195 | − | 1.30410i | ||||
\(383\) | 17.0610 | − | 1.79318i | 0.871776 | − | 0.0916274i | 0.341934 | − | 0.939724i | \(-0.388918\pi\) |
0.529842 | + | 0.848097i | \(0.322251\pi\) | |||||||
\(384\) | 0.0760609 | + | 1.73038i | 0.00388147 | + | 0.0883031i | ||||
\(385\) | −4.95261 | − | 12.2433i | −0.252409 | − | 0.623976i | ||||
\(386\) | 9.06613 | + | 0.952888i | 0.461454 | + | 0.0485007i | ||||
\(387\) | −24.1357 | − | 8.29467i | −1.22688 | − | 0.421642i | ||||
\(388\) | −5.22001 | − | 1.69608i | −0.265006 | − | 0.0861056i | ||||
\(389\) | 1.62176 | − | 15.4300i | 0.0822266 | − | 0.782334i | −0.873251 | − | 0.487271i | \(-0.837993\pi\) |
0.955478 | − | 0.295064i | \(-0.0953408\pi\) | |||||||
\(390\) | −6.77418 | + | 15.6101i | −0.343024 | + | 0.790449i | ||||
\(391\) | 0.0214795 | − | 0.0238554i | 0.00108627 | − | 0.00120642i | ||||
\(392\) | 0.614901 | + | 5.85039i | 0.0310572 | + | 0.295490i | ||||
\(393\) | −6.70834 | − | 10.5231i | −0.338391 | − | 0.530822i | ||||
\(394\) | 2.44139 | + | 5.48344i | 0.122995 | + | 0.276252i | ||||
\(395\) | −1.57764 | − | 2.33682i | −0.0793797 | − | 0.117578i | ||||
\(396\) | −7.07524 | + | 15.1963i | −0.355544 | + | 0.763641i | ||||
\(397\) | −29.4881 | + | 17.0249i | −1.47996 | + | 0.854457i | −0.999743 | − | 0.0226910i | \(-0.992777\pi\) |
−0.480220 | + | 0.877148i | \(0.659443\pi\) | |||||||
\(398\) | 1.01384 | + | 0.585343i | 0.0508194 | + | 0.0293406i | ||||
\(399\) | 2.83457 | + | 0.473485i | 0.141906 | + | 0.0237039i | ||||
\(400\) | 4.41671 | + | 2.34364i | 0.220836 | + | 0.117182i | ||||
\(401\) | −8.53165 | − | 26.2577i | −0.426050 | − | 1.31125i | −0.901985 | − | 0.431767i | \(-0.857890\pi\) |
0.475935 | − | 0.879481i | \(-0.342110\pi\) | |||||||
\(402\) | 7.09058 | + | 7.21118i | 0.353646 | + | 0.359661i | ||||
\(403\) | 6.12984 | − | 23.6825i | 0.305349 | − | 1.17971i | ||||
\(404\) | 11.9274i | 0.593411i | ||||||||
\(405\) | 20.0778 | + | 1.37170i | 0.997674 | + | 0.0681603i | ||||
\(406\) | −0.716435 | − | 3.37056i | −0.0355561 | − | 0.167278i | ||||
\(407\) | 12.8412 | − | 9.32969i | 0.636516 | − | 0.462456i | ||||
\(408\) | −0.0546621 | + | 0.0141538i | −0.00270618 | + | 0.000700716i | ||||
\(409\) | 20.4569 | − | 11.8108i | 1.01153 | − | 0.584007i | 0.0998902 | − | 0.994998i | \(-0.468151\pi\) |
0.911639 | + | 0.410992i | \(0.134818\pi\) | |||||||
\(410\) | −13.9499 | − | 13.4600i | −0.688939 | − | 0.664740i | ||||
\(411\) | 2.06327 | + | 13.7779i | 0.101774 | + | 0.679615i | ||||
\(412\) | −5.66995 | − | 12.7349i | −0.279339 | − | 0.627405i | ||||
\(413\) | 9.19488 | + | 1.95443i | 0.452451 | + | 0.0961714i | ||||
\(414\) | 0.259196 | + | 2.94265i | 0.0127388 | + | 0.144624i | ||||
\(415\) | 16.5146 | − | 8.78989i | 0.810669 | − | 0.431479i | ||||
\(416\) | 2.93994 | + | 3.26513i | 0.144142 | + | 0.160086i | ||||
\(417\) | 27.4923 | − | 21.8816i | 1.34631 | − | 1.07155i | ||||
\(418\) | 2.71022 | − | 8.34120i | 0.132561 | − | 0.407981i | ||||
\(419\) | 22.2323 | + | 7.22371i | 1.08612 | + | 0.352901i | 0.796745 | − | 0.604315i | \(-0.206553\pi\) |
0.289373 | + | 0.957216i | \(0.406553\pi\) | |||||||
\(420\) | 1.30182 | + | 3.88149i | 0.0635223 | + | 0.189397i | ||||
\(421\) | 25.5911 | + | 28.4218i | 1.24723 | + | 1.38519i | 0.893013 | + | 0.450032i | \(0.148587\pi\) |
0.354221 | + | 0.935162i | \(0.384746\pi\) | |||||||
\(422\) | 9.98838 | − | 11.0932i | 0.486227 | − | 0.540010i | ||||
\(423\) | 34.2159 | − | 3.01382i | 1.66363 | − | 0.146537i | ||||
\(424\) | −0.553165 | + | 2.60243i | −0.0268640 | + | 0.126385i | ||||
\(425\) | −0.0447968 | + | 0.156723i | −0.00217296 | + | 0.00760220i | ||||
\(426\) | 1.24239 | + | 8.29629i | 0.0601939 | + | 0.401957i | ||||
\(427\) | 0.241870 | + | 0.107687i | 0.0117049 | + | 0.00521136i | ||||
\(428\) | 9.05891 | + | 15.6905i | 0.437879 | + | 0.758429i | ||||
\(429\) | 10.6587 | + | 41.1640i | 0.514606 | + | 1.98742i | ||||
\(430\) | 5.25098 | + | 18.2833i | 0.253225 | + | 0.881697i | ||||
\(431\) | −2.99142 | − | 14.0735i | −0.144091 | − | 0.677897i | −0.989590 | − | 0.143919i | \(-0.954030\pi\) |
0.845498 | − | 0.533979i | \(-0.179304\pi\) | |||||||
\(432\) | 2.47535 | − | 4.56866i | 0.119095 | − | 0.219810i | ||||
\(433\) | 26.6621 | 1.28130 | 0.640649 | − | 0.767834i | \(-0.278665\pi\) | ||||
0.640649 | + | 0.767834i | \(0.278665\pi\) | |||||||
\(434\) | −2.71655 | − | 5.22103i | −0.130398 | − | 0.250618i | ||||
\(435\) | 5.24386 | + | 11.4848i | 0.251424 | + | 0.550655i | ||||
\(436\) | 3.70649 | + | 11.4074i | 0.177509 | + | 0.546315i | ||||
\(437\) | −0.321349 | − | 1.51183i | −0.0153722 | − | 0.0723205i | ||||
\(438\) | −1.68890 | + | 10.1108i | −0.0806987 | + | 0.483111i | ||||
\(439\) | 17.6766 | − | 30.6167i | 0.843657 | − | 1.46126i | −0.0431248 | − | 0.999070i | \(-0.513731\pi\) |
0.886782 | − | 0.462188i | \(-0.152935\pi\) | |||||||
\(440\) | 12.3034 | − | 2.17477i | 0.586541 | − | 0.103678i | ||||
\(441\) | 7.44888 | − | 15.9988i | 0.354709 | − | 0.761847i | ||||
\(442\) | −0.0841905 | + | 0.115878i | −0.00400453 | + | 0.00551177i | ||||
\(443\) | −6.80144 | + | 3.02820i | −0.323146 | + | 0.143874i | −0.561898 | − | 0.827207i | \(-0.689929\pi\) |
0.238751 | + | 0.971081i | \(0.423262\pi\) | |||||||
\(444\) | −4.14893 | + | 2.64488i | −0.196900 | + | 0.125520i | ||||
\(445\) | 8.69236 | + | 2.16336i | 0.412057 | + | 0.102553i | ||||
\(446\) | −2.04142 | + | 2.26723i | −0.0966640 | + | 0.107356i | ||||
\(447\) | −0.780060 | + | 12.8158i | −0.0368956 | + | 0.606169i | ||||
\(448\) | 1.05127 | + | 0.110493i | 0.0496679 | + | 0.00522031i | ||||
\(449\) | 4.56163 | − | 14.0393i | 0.215277 | − | 0.662553i | −0.783857 | − | 0.620941i | \(-0.786751\pi\) |
0.999134 | − | 0.0416121i | \(-0.0132494\pi\) | |||||||
\(450\) | −7.74397 | − | 12.8464i | −0.365054 | − | 0.605587i | ||||
\(451\) | −48.1739 | − | 5.06328i | −2.26842 | − | 0.238421i | ||||
\(452\) | −1.10371 | − | 1.22579i | −0.0519142 | − | 0.0576565i | ||||
\(453\) | 24.3685 | − | 1.07114i | 1.14493 | − | 0.0503268i | ||||
\(454\) | 2.43480 | + | 23.1656i | 0.114271 | + | 1.08721i | ||||
\(455\) | 8.80943 | + | 5.49958i | 0.412992 | + | 0.257824i | ||||
\(456\) | −0.995663 | + | 2.52982i | −0.0466262 | + | 0.118470i | ||||
\(457\) | 24.9107 | + | 18.0987i | 1.16527 | + | 0.846621i | 0.990436 | − | 0.137976i | \(-0.0440598\pi\) |
0.174838 | + | 0.984597i | \(0.444060\pi\) | |||||||
\(458\) | 5.08282 | − | 11.4162i | 0.237504 | − | 0.533444i | ||||
\(459\) | 0.162461 | + | 0.0479670i | 0.00758304 | + | 0.00223891i | ||||
\(460\) | 1.68609 | − | 1.41601i | 0.0786145 | − | 0.0660219i | ||||
\(461\) | −26.0934 | + | 18.9580i | −1.21529 | + | 0.882961i | −0.995700 | − | 0.0926313i | \(-0.970472\pi\) |
−0.219591 | + | 0.975592i | \(0.570472\pi\) | |||||||
\(462\) | 8.53244 | + | 5.64388i | 0.396965 | + | 0.262577i | ||||
\(463\) | −1.70472 | − | 5.24660i | −0.0792253 | − | 0.243830i | 0.903597 | − | 0.428383i | \(-0.140916\pi\) |
−0.982823 | + | 0.184552i | \(0.940916\pi\) | |||||||
\(464\) | 3.25985 | 0.151335 | ||||||||
\(465\) | 13.8694 | + | 16.5118i | 0.643180 | + | 0.765715i | ||||
\(466\) | 25.1359 | 1.16440 | ||||||||
\(467\) | −7.27928 | − | 22.4033i | −0.336845 | − | 1.03670i | −0.965806 | − | 0.259265i | \(-0.916520\pi\) |
0.628962 | − | 0.777436i | \(-0.283480\pi\) | |||||||
\(468\) | −2.52268 | − | 12.9374i | −0.116611 | − | 0.598029i | ||||
\(469\) | 4.99330 | − | 3.62784i | 0.230569 | − | 0.167518i | ||||
\(470\) | −16.4648 | − | 19.6052i | −0.759463 | − | 0.904319i | ||||
\(471\) | −2.61573 | + | 9.44280i | −0.120526 | + | 0.435101i | ||||
\(472\) | −3.61705 | + | 8.12403i | −0.166488 | + | 0.373939i | ||||
\(473\) | 38.4555 | + | 27.9395i | 1.76818 | + | 1.28466i | ||||
\(474\) | 2.03226 | + | 0.799837i | 0.0933448 | + | 0.0367377i | ||||
\(475\) | 4.83706 | + | 6.18041i | 0.221939 | + | 0.283577i | ||||
\(476\) | 0.00360207 | + | 0.0342714i | 0.000165101 | + | 0.00157083i | ||||
\(477\) | 5.44008 | − | 5.84067i | 0.249084 | − | 0.267426i | ||||
\(478\) | −4.96244 | − | 5.51135i | −0.226977 | − | 0.252083i | ||||
\(479\) | −35.0065 | − | 3.67933i | −1.59949 | − | 0.168113i | −0.737608 | − | 0.675229i | \(-0.764045\pi\) |
−0.861878 | + | 0.507116i | \(0.830711\pi\) | |||||||
\(480\) | −3.84777 | + | 0.441189i | −0.175626 | + | 0.0201374i | ||||
\(481\) | −3.85689 | + | 11.8703i | −0.175859 | + | 0.541239i | ||||
\(482\) | 14.0777 | + | 1.47963i | 0.641223 | + | 0.0673953i | ||||
\(483\) | 1.79951 | + | 0.109531i | 0.0818806 | + | 0.00498381i | ||||
\(484\) | 13.5302 | − | 15.0269i | 0.615011 | − | 0.683039i | ||||
\(485\) | 2.96409 | − | 11.9097i | 0.134592 | − | 0.540790i | ||||
\(486\) | −13.4198 | + | 7.93152i | −0.608734 | + | 0.359781i | ||||
\(487\) | −12.5147 | + | 5.57192i | −0.567097 | + | 0.252488i | −0.670197 | − | 0.742183i | \(-0.733790\pi\) |
0.103100 | + | 0.994671i | \(0.467124\pi\) | |||||||
\(488\) | −0.147221 | + | 0.202632i | −0.00666438 | + | 0.00917273i | ||||
\(489\) | 0.0623602 | + | 0.166640i | 0.00282003 | + | 0.00753573i | ||||
\(490\) | −12.9531 | + | 2.28961i | −0.585163 | + | 0.103434i | ||||
\(491\) | −13.6742 | + | 23.6845i | −0.617109 | + | 1.06886i | 0.372901 | + | 0.927871i | \(0.378363\pi\) |
−0.990010 | + | 0.140994i | \(0.954970\pi\) | |||||||
\(492\) | 14.8102 | + | 2.47390i | 0.667696 | + | 0.111532i | ||||
\(493\) | 0.0220950 | + | 0.103949i | 0.000995107 | + | 0.00468161i | ||||
\(494\) | 2.13114 | + | 6.55896i | 0.0958843 | + | 0.295102i | ||||
\(495\) | −35.0064 | − | 13.3971i | −1.57342 | − | 0.602155i | ||||
\(496\) | 5.36557 | − | 1.48683i | 0.240921 | − | 0.0667606i | ||||
\(497\) | 5.11965 | 0.229648 | ||||||||
\(498\) | −6.68752 | + | 12.8559i | −0.299675 | + | 0.576085i | ||||
\(499\) | −0.469667 | − | 2.20961i | −0.0210252 | − | 0.0989158i | 0.966384 | − | 0.257104i | \(-0.0827682\pi\) |
−0.987409 | + | 0.158188i | \(0.949435\pi\) | |||||||
\(500\) | −4.53454 | + | 10.2195i | −0.202791 | + | 0.457029i | ||||
\(501\) | 29.1944 | − | 7.55935i | 1.30431 | − | 0.337727i | ||||
\(502\) | −13.9882 | − | 24.2283i | −0.624324 | − | 1.08136i | ||||
\(503\) | 12.4633 | + | 5.54902i | 0.555711 | + | 0.247419i | 0.665323 | − | 0.746556i | \(-0.268294\pi\) |
−0.109611 | + | 0.993975i | \(0.534961\pi\) | |||||||
\(504\) | −2.53375 | − | 1.90697i | −0.112862 | − | 0.0849434i | ||||
\(505\) | −26.6047 | + | 1.87165i | −1.18390 | + | 0.0832873i | ||||
\(506\) | 1.14392 | − | 5.38172i | 0.0508535 | − | 0.239247i | ||||
\(507\) | −8.42775 | − | 6.94313i | −0.374290 | − | 0.308355i | ||||
\(508\) | −2.52031 | + | 2.79909i | −0.111821 | + | 0.124189i | ||||
\(509\) | 13.1644 | + | 14.6205i | 0.583500 | + | 0.648042i | 0.960536 | − | 0.278156i | \(-0.0897233\pi\) |
−0.377036 | + | 0.926199i | \(0.623057\pi\) | |||||||
\(510\) | −0.0401483 | − | 0.119706i | −0.00177780 | − | 0.00530066i | ||||
\(511\) | 5.94985 | + | 1.93322i | 0.263206 | + | 0.0855207i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 6.46629 | − | 4.97084i | 0.285494 | − | 0.219468i | ||||
\(514\) | 13.2015 | + | 14.6618i | 0.582295 | + | 0.646704i | ||||
\(515\) | 27.5162 | − | 14.6455i | 1.21251 | − | 0.645358i | ||||
\(516\) | −11.3724 | − | 9.36905i | −0.500642 | − | 0.412449i | ||||
\(517\) | −62.5764 | − | 13.3010i | −2.75211 | − | 0.584978i | ||||
\(518\) | 1.22135 | + | 2.74321i | 0.0536632 | + | 0.120530i | ||||
\(519\) | −12.2010 | + | 1.82712i | −0.535563 | + | 0.0802018i | ||||
\(520\) | −6.82172 | + | 7.07006i | −0.299152 | + | 0.310043i | ||||
\(521\) | −24.3487 | + | 14.0578i | −1.06674 | + | 0.615881i | −0.927288 | − | 0.374348i | \(-0.877867\pi\) |
−0.139449 | + | 0.990229i | \(0.544533\pi\) | |||||||
\(522\) | −8.38567 | − | 5.03189i | −0.367031 | − | 0.220240i | ||||
\(523\) | 29.2824 | − | 21.2749i | 1.28043 | − | 0.930286i | 0.280862 | − | 0.959748i | \(-0.409380\pi\) |
0.999566 | + | 0.0294624i | \(0.00937952\pi\) | |||||||
\(524\) | −1.49801 | − | 7.04761i | −0.0654411 | − | 0.307876i | ||||
\(525\) | −8.45360 | + | 3.51286i | −0.368945 | + | 0.153314i | ||||
\(526\) | − | 22.8603i | − | 0.996757i | ||||||
\(527\) | 0.0837787 | + | 0.161017i | 0.00364946 | + | 0.00701403i | ||||
\(528\) | −6.90077 | + | 6.78537i | −0.300318 | + | 0.295295i | ||||
\(529\) | 6.80777 | + | 20.9522i | 0.295990 | + | 0.910963i | ||||
\(530\) | −5.89168 | − | 0.825490i | −0.255918 | − | 0.0358570i | ||||
\(531\) | 21.8448 | − | 15.3151i | 0.947983 | − | 0.664618i | ||||
\(532\) | 1.43692 | + | 0.829606i | 0.0622984 | + | 0.0359680i | ||||
\(533\) | 32.9864 | − | 19.0447i | 1.42880 | − | 0.824918i | ||||
\(534\) | −6.49835 | + | 2.43182i | −0.281211 | + | 0.105235i | ||||
\(535\) | −33.5770 | + | 22.6686i | −1.45166 | + | 0.980047i | ||||
\(536\) | 2.37488 | + | 5.33408i | 0.102579 | + | 0.230397i | ||||
\(537\) | 30.7077 | − | 19.5757i | 1.32514 | − | 0.844754i | ||||
\(538\) | −0.578262 | − | 5.50179i | −0.0249306 | − | 0.237199i | ||||
\(539\) | −21.9939 | + | 24.4267i | −0.947345 | + | 1.05213i | ||||
\(540\) | 10.5791 | + | 4.80450i | 0.455251 | + | 0.206753i | ||||
\(541\) | 4.31246 | − | 41.0303i | 0.185407 | − | 1.76403i | −0.366778 | − | 0.930309i | \(-0.619539\pi\) |
0.552185 | − | 0.833722i | \(-0.313794\pi\) | |||||||
\(542\) | −9.80791 | − | 3.18678i | −0.421286 | − | 0.136884i | ||||
\(543\) | −3.27229 | + | 1.63271i | −0.140428 | + | 0.0700663i | ||||
\(544\) | −0.0324214 | − | 0.00340762i | −0.00139005 | − | 0.000146101i | ||||
\(545\) | −24.8632 | + | 10.0576i | −1.06502 | + | 0.430819i | ||||
\(546\) | −8.03655 | + | 0.353256i | −0.343932 | + | 0.0151180i | ||||
\(547\) | −3.53557 | + | 0.371603i | −0.151170 | + | 0.0158886i | −0.179811 | − | 0.983701i | \(-0.557549\pi\) |
0.0286412 | + | 0.999590i | \(0.490882\pi\) | |||||||
\(548\) | −1.67231 | + | 7.86762i | −0.0714377 | + | 0.336088i | ||||
\(549\) | 0.691496 | − | 0.294004i | 0.0295123 | − | 0.0125478i | ||||
\(550\) | 6.78158 | + | 27.1021i | 0.289168 | + | 1.15564i | ||||
\(551\) | 4.67443 | + | 2.08119i | 0.199137 | + | 0.0886617i | ||||
\(552\) | −0.455296 | + | 1.64363i | −0.0193787 | + | 0.0699573i | ||||
\(553\) | 0.666440 | − | 1.15431i | 0.0283399 | − | 0.0490862i | ||||
\(554\) | −12.2817 | + | 8.92315i | −0.521798 | + | 0.379108i | ||||
\(555\) | −6.55060 | − | 8.83938i | −0.278057 | − | 0.375211i | ||||
\(556\) | 19.2937 | − | 6.26889i | 0.818234 | − | 0.265860i | ||||
\(557\) | 23.7867i | 1.00788i | 0.863740 | + | 0.503938i | \(0.168116\pi\) | ||||
−0.863740 | + | 0.503938i | \(0.831884\pi\) | |||||||
\(558\) | −16.0975 | − | 4.45755i | −0.681462 | − | 0.188703i | ||||
\(559\) | −37.3772 | −1.58089 | ||||||||
\(560\) | −0.0814954 | + | 2.36226i | −0.00344381 | + | 0.0998236i | ||||
\(561\) | −0.263142 | − | 0.174058i | −0.0111099 | − | 0.00734875i | ||||
\(562\) | −5.31323 | − | 7.31303i | −0.224125 | − | 0.308482i | ||||
\(563\) | −7.09326 | + | 12.2859i | −0.298945 | + | 0.517789i | −0.975895 | − | 0.218241i | \(-0.929968\pi\) |
0.676950 | + | 0.736029i | \(0.263302\pi\) | |||||||
\(564\) | 19.1114 | + | 5.29399i | 0.804734 | + | 0.222917i | ||||
\(565\) | 2.56101 | − | 2.65424i | 0.107742 | − | 0.111665i | ||||
\(566\) | −12.3794 | + | 17.0388i | −0.520346 | + | 0.716194i | ||||
\(567\) | 3.57424 | + | 8.81661i | 0.150104 | + | 0.370263i | ||||
\(568\) | −1.00697 | + | 4.73744i | −0.0422517 | + | 0.198779i | ||||
\(569\) | −3.54985 | − | 33.7746i | −0.148818 | − | 1.41590i | −0.772891 | − | 0.634539i | \(-0.781190\pi\) |
0.624074 | − | 0.781366i | \(-0.285477\pi\) | |||||||
\(570\) | −5.79915 | − | 1.82390i | −0.242900 | − | 0.0763948i | ||||
\(571\) | −24.5893 | + | 22.1403i | −1.02903 | + | 0.926544i | −0.997335 | − | 0.0729531i | \(-0.976758\pi\) |
−0.0316965 | + | 0.999498i | \(0.510091\pi\) | |||||||
\(572\) | −2.56615 | + | 24.4153i | −0.107296 | + | 1.02086i | ||||
\(573\) | −40.3856 | + | 20.1504i | −1.68713 | + | 0.841794i | ||||
\(574\) | 2.83178 | − | 8.71533i | 0.118196 | − | 0.363771i | ||||
\(575\) | 3.42307 | + | 3.53872i | 0.142752 | + | 0.147575i | ||||
\(576\) | 2.26297 | − | 1.96951i | 0.0942904 | − | 0.0820630i | ||||
\(577\) | 11.3119 | + | 10.1853i | 0.470921 | + | 0.424019i | 0.870116 | − | 0.492847i | \(-0.164044\pi\) |
−0.399195 | + | 0.916866i | \(0.630710\pi\) | |||||||
\(578\) | 1.77687 | + | 16.9058i | 0.0739082 | + | 0.703189i | ||||
\(579\) | −8.48761 | − | 13.3142i | −0.352733 | − | 0.553320i | ||||
\(580\) | 0.511535 | + | 7.27127i | 0.0212403 | + | 0.301923i | ||||
\(581\) | 7.15490 | + | 5.19834i | 0.296835 | + | 0.215663i | ||||
\(582\) | 3.33191 | + | 8.90360i | 0.138112 | + | 0.369066i | ||||
\(583\) | −12.8744 | + | 7.43304i | −0.533203 | + | 0.307845i | ||||
\(584\) | −2.95916 | + | 5.12542i | −0.122451 | + | 0.212091i | ||||
\(585\) | 28.4616 | − | 7.65711i | 1.17674 | − | 0.316582i | ||||
\(586\) | 14.1043 | − | 2.99796i | 0.582642 | − | 0.123844i | ||||
\(587\) | −42.8092 | + | 13.9096i | −1.76693 | + | 0.574109i | −0.997880 | − | 0.0650850i | \(-0.979268\pi\) |
−0.769046 | + | 0.639194i | \(0.779268\pi\) | |||||||
\(588\) | 7.26520 | − | 7.14370i | 0.299612 | − | 0.294601i | ||||
\(589\) | 8.64315 | + | 1.29353i | 0.356135 | + | 0.0532988i | ||||
\(590\) | −18.6887 | − | 6.79321i | −0.769401 | − | 0.279672i | ||||
\(591\) | 4.79781 | − | 9.22315i | 0.197356 | − | 0.379390i | ||||
\(592\) | −2.77864 | + | 0.590618i | −0.114201 | + | 0.0242743i | ||||
\(593\) | −26.3837 | + | 19.1689i | −1.08345 | + | 0.787171i | −0.978281 | − | 0.207284i | \(-0.933538\pi\) |
−0.105166 | + | 0.994455i | \(0.533538\pi\) | |||||||
\(594\) | 28.2255 | − | 6.80274i | 1.15811 | − | 0.279120i | ||||
\(595\) | −0.0758790 | + | 0.0134125i | −0.00311074 | + | 0.000549858i | ||||
\(596\) | −3.01511 | + | 6.77204i | −0.123504 | + | 0.277394i | ||||
\(597\) | −0.300302 | − | 2.00533i | −0.0122906 | − | 0.0820726i | ||||
\(598\) | 1.75969 | + | 3.95234i | 0.0719592 | + | 0.161623i | ||||
\(599\) | 6.81897 | − | 32.0808i | 0.278616 | − | 1.31078i | −0.586801 | − | 0.809731i | \(-0.699613\pi\) |
0.865417 | − | 0.501053i | \(-0.167054\pi\) | |||||||
\(600\) | −1.58789 | − | 8.51344i | −0.0648253 | − | 0.347560i | ||||
\(601\) | 3.52757 | + | 3.17624i | 0.143892 | + | 0.129561i | 0.737934 | − | 0.674873i | \(-0.235802\pi\) |
−0.594041 | + | 0.804435i | \(0.702468\pi\) | |||||||
\(602\) | −6.68273 | + | 6.01715i | −0.272368 | + | 0.245241i | ||||
\(603\) | 2.12449 | − | 17.3873i | 0.0865161 | − | 0.708066i | ||||
\(604\) | 13.3935 | + | 4.35180i | 0.544972 | + | 0.177072i | ||||
\(605\) | 35.6414 | + | 27.8219i | 1.44903 | + | 1.13112i | ||||
\(606\) | 16.1640 | − | 12.8652i | 0.656618 | − | 0.522614i | ||||
\(607\) | −0.675670 | + | 0.608376i | −0.0274246 | + | 0.0246932i | −0.682729 | − | 0.730672i | \(-0.739207\pi\) |
0.655304 | + | 0.755365i | \(0.272540\pi\) | |||||||
\(608\) | −1.05030 | + | 1.16647i | −0.0425952 | + | 0.0473067i | ||||
\(609\) | −3.79502 | + | 4.60649i | −0.153782 | + | 0.186664i | ||||
\(610\) | −0.475084 | − | 0.296587i | −0.0192356 | − | 0.0120085i | ||||
\(611\) | 45.9561 | − | 20.4610i | 1.85918 | − | 0.827762i | ||||
\(612\) | 0.0781411 | + | 0.0588114i | 0.00315867 | + | 0.00237731i | ||||
\(613\) | 13.9137 | + | 6.19479i | 0.561970 | + | 0.250205i | 0.668004 | − | 0.744157i | \(-0.267149\pi\) |
−0.106035 | + | 0.994362i | \(0.533815\pi\) | |||||||
\(614\) | 28.8449 | − | 16.6536i | 1.16408 | − | 0.672084i | ||||
\(615\) | −3.19414 | + | 33.4232i | −0.128800 | + | 1.34775i | ||||
\(616\) | 3.47168 | + | 4.77836i | 0.139878 | + | 0.192526i | ||||
\(617\) | 25.6220 | − | 5.44612i | 1.03150 | − | 0.219252i | 0.339089 | − | 0.940754i | \(-0.389881\pi\) |
0.692412 | + | 0.721502i | \(0.256548\pi\) | |||||||
\(618\) | −11.1426 | + | 21.4201i | −0.448221 | + | 0.861644i | ||||
\(619\) | 39.5108i | 1.58807i | 0.607869 | + | 0.794037i | \(0.292025\pi\) | ||||
−0.607869 | + | 0.794037i | \(0.707975\pi\) | |||||||
\(620\) | 4.15842 | + | 11.7349i | 0.167006 | + | 0.471284i | ||||
\(621\) | 3.70831 | − | 3.52529i | 0.148809 | − | 0.141465i | ||||
\(622\) | 23.4309 | − | 7.61316i | 0.939493 | − | 0.305260i | ||||
\(623\) | 0.880405 | + | 4.14198i | 0.0352727 | + | 0.165945i | ||||
\(624\) | 1.25381 | − | 7.50606i | 0.0501926 | − | 0.300483i | ||||
\(625\) | −23.5067 | − | 8.51090i | −0.940268 | − | 0.340436i | ||||
\(626\) | −0.206338 | − | 0.357389i | −0.00824694 | − | 0.0142841i | ||||
\(627\) | −14.2273 | + | 5.32415i | −0.568184 | + | 0.212626i | ||||
\(628\) | −3.32516 | + | 4.57670i | −0.132688 | + | 0.182630i | ||||
\(629\) | −0.0376668 | − | 0.0846009i | −0.00150187 | − | 0.00337326i | ||||
\(630\) | 3.85602 | − | 5.95090i | 0.153627 | − | 0.237090i | ||||
\(631\) | 33.8981 | − | 3.56284i | 1.34946 | − | 0.141834i | 0.597940 | − | 0.801541i | \(-0.295986\pi\) |
0.751523 | + | 0.659707i | \(0.229320\pi\) | |||||||
\(632\) | 0.937052 | + | 0.843726i | 0.0372739 | + | 0.0335616i | ||||
\(633\) | −25.8073 | − | 1.57081i | −1.02575 | − | 0.0624340i | ||||
\(634\) | −2.09606 | + | 19.9427i | −0.0832452 | + | 0.792025i | ||||
\(635\) | −6.63900 | − | 5.18245i | −0.263461 | − | 0.205659i | ||||
\(636\) | 4.12348 | − | 2.05741i | 0.163506 | − | 0.0815815i | ||||
\(637\) | 2.70167 | − | 25.7047i | 0.107044 | − | 1.01846i | ||||
\(638\) | 12.1879 | + | 13.5360i | 0.482524 | + | 0.535897i | ||||
\(639\) | 9.90306 | − | 10.6323i | 0.391759 | − | 0.420607i | ||||
\(640\) | −2.16987 | − | 0.540040i | −0.0857718 | − | 0.0213469i | ||||
\(641\) | −29.3208 | − | 6.23232i | −1.15810 | − | 0.246162i | −0.411485 | − | 0.911417i | \(-0.634990\pi\) |
−0.746616 | + | 0.665255i | \(0.768323\pi\) | |||||||
\(642\) | 11.4926 | − | 29.2008i | 0.453576 | − | 1.15246i | ||||
\(643\) | −22.8555 | − | 16.6055i | −0.901332 | − | 0.654856i | 0.0374759 | − | 0.999298i | \(-0.488068\pi\) |
−0.938808 | + | 0.344442i | \(0.888068\pi\) | |||||||
\(644\) | 0.950883 | + | 0.423360i | 0.0374700 | + | 0.0166827i | ||||
\(645\) | 19.1136 | − | 26.8369i | 0.752598 | − | 1.05670i | ||||
\(646\) | −0.0443148 | − | 0.0255852i | −0.00174354 | − | 0.00100664i | ||||
\(647\) | −6.56067 | − | 9.02998i | −0.257926 | − | 0.355005i | 0.660341 | − | 0.750966i | \(-0.270412\pi\) |
−0.918268 | + | 0.395960i | \(0.870412\pi\) | |||||||
\(648\) | −8.86142 | + | 1.57328i | −0.348110 | + | 0.0618042i | ||||
\(649\) | −47.2573 | + | 15.3548i | −1.85501 | + | 0.602729i | ||||
\(650\) | −16.8406 | − | 14.1068i | −0.660544 | − | 0.553314i | ||||
\(651\) | −4.14540 | + | 9.31301i | −0.162471 | + | 0.365005i | ||||
\(652\) | 0.102726i | 0.00402305i | ||||||||
\(653\) | 3.17369 | + | 9.76761i | 0.124196 | + | 0.382236i | 0.993754 | − | 0.111595i | \(-0.0355960\pi\) |
−0.869558 | + | 0.493831i | \(0.835596\pi\) | |||||||
\(654\) | 11.4614 | − | 17.3273i | 0.448175 | − | 0.677553i | ||||
\(655\) | 15.4850 | − | 4.44731i | 0.605049 | − | 0.173771i | ||||
\(656\) | 7.50771 | + | 4.33458i | 0.293127 | + | 0.169237i | ||||
\(657\) | 15.5238 | − | 8.61694i | 0.605640 | − | 0.336179i | ||||
\(658\) | 4.92265 | − | 11.0565i | 0.191905 | − | 0.431025i | ||||
\(659\) | −17.1561 | + | 23.6134i | −0.668308 | + | 0.919847i | −0.999721 | − | 0.0236387i | \(-0.992475\pi\) |
0.331412 | + | 0.943486i | \(0.392475\pi\) | |||||||
\(660\) | −16.2180 | − | 14.3278i | −0.631285 | − | 0.557709i | ||||
\(661\) | 22.7086 | + | 4.82686i | 0.883261 | + | 0.187743i | 0.627145 | − | 0.778903i | \(-0.284224\pi\) |
0.256117 | + | 0.966646i | \(0.417557\pi\) | |||||||
\(662\) | 6.77162 | − | 0.711726i | 0.263187 | − | 0.0276620i | ||||
\(663\) | 0.247848 | − | 0.0108945i | 0.00962563 | − | 0.000423106i | ||||
\(664\) | −6.21754 | + | 5.59830i | −0.241287 | + | 0.217256i | ||||
\(665\) | −1.62500 | + | 3.33531i | −0.0630148 | + | 0.129338i | ||||
\(666\) | 8.05948 | + | 2.76979i | 0.312299 | + | 0.107327i | ||||
\(667\) | 3.05281 | + | 0.991918i | 0.118205 | + | 0.0384072i | ||||
\(668\) | 17.3159 | + | 1.81997i | 0.669971 | + | 0.0704168i | ||||
\(669\) | 5.27447 | + | 0.321041i | 0.203923 | + | 0.0124121i | ||||
\(670\) | −11.5253 | + | 6.13433i | −0.445261 | + | 0.236990i | ||||
\(671\) | −1.39183 | + | 0.146287i | −0.0537310 | + | 0.00564736i | ||||
\(672\) | −0.984189 | − | 1.54386i | −0.0379659 | − | 0.0595558i | ||||
\(673\) | −6.95102 | + | 3.09479i | −0.267942 | + | 0.119295i | −0.536310 | − | 0.844021i | \(-0.680182\pi\) |
0.268368 | + | 0.963316i | \(0.413516\pi\) | |||||||
\(674\) | 29.1904 | + | 21.2081i | 1.12437 | + | 0.816905i | ||||
\(675\) | −9.05662 | + | 24.3511i | −0.348590 | + | 0.937275i | ||||
\(676\) | −3.15217 | − | 5.45972i | −0.121237 | − | 0.209989i | ||||
\(677\) | −35.8294 | − | 20.6861i | −1.37704 | − | 0.795032i | −0.385234 | − | 0.922819i | \(-0.625879\pi\) |
−0.991802 | + | 0.127787i | \(0.959213\pi\) | |||||||
\(678\) | −0.470705 | + | 2.81792i | −0.0180773 | + | 0.108222i | ||||
\(679\) | 5.67506 | − | 1.20627i | 0.217789 | − | 0.0462924i | ||||
\(680\) | 0.00251333 | − | 0.0728524i | 9.63818e−5 | − | 0.00279376i | ||||
\(681\) | 28.7677 | − | 28.2866i | 1.10238 | − | 1.08395i | ||||
\(682\) | 26.2346 | + | 16.7208i | 1.00458 | + | 0.640272i | ||||
\(683\) | 23.9923 | 0.918040 | 0.459020 | − | 0.888426i | \(-0.348201\pi\) | ||||
0.459020 | + | 0.888426i | \(0.348201\pi\) | |||||||
\(684\) | 4.50236 | − | 1.37941i | 0.172152 | − | 0.0527432i | ||||
\(685\) | −17.8116 | − | 2.49560i | −0.680545 | − | 0.0953520i | ||||
\(686\) | −8.00430 | − | 11.0170i | −0.305606 | − | 0.420630i | ||||
\(687\) | −20.9537 | + | 5.42558i | −0.799433 | + | 0.206999i | ||||
\(688\) | −4.25353 | − | 7.36733i | −0.162164 | − | 0.280877i | ||||
\(689\) | 4.75462 | − | 10.6791i | 0.181137 | − | 0.406840i | ||||
\(690\) | −3.73764 | − | 0.757645i | −0.142290 | − | 0.0288431i | ||||
\(691\) | −2.00585 | + | 0.893063i | −0.0763062 | + | 0.0339737i | −0.444535 | − | 0.895762i | \(-0.646631\pi\) |
0.368229 | + | 0.929735i | \(0.379964\pi\) | |||||||
\(692\) | −6.96713 | − | 1.48091i | −0.264851 | − | 0.0562957i | ||||
\(693\) | −1.55473 | − | 17.6508i | −0.0590592 | − | 0.670499i | ||||
\(694\) | −19.4420 | − | 17.5057i | −0.738009 | − | 0.664506i | ||||
\(695\) | 17.0107 | + | 42.0519i | 0.645252 | + | 1.59512i | ||||
\(696\) | −3.51616 | − | 4.41774i | −0.133280 | − | 0.167454i | ||||
\(697\) | −0.0873326 | + | 0.268782i | −0.00330796 | + | 0.0101808i | ||||
\(698\) | −3.11573 | + | 9.58923i | −0.117932 | + | 0.362958i | ||||
\(699\) | −27.1123 | − | 34.0642i | −1.02548 | − | 1.28843i | ||||
\(700\) | −5.28193 | + | 0.188905i | −0.199638 | + | 0.00713996i | ||||
\(701\) | −32.2964 | − | 29.0798i | −1.21982 | − | 1.09833i | −0.992210 | − | 0.124578i | \(-0.960242\pi\) |
−0.227609 | − | 0.973753i | \(-0.573091\pi\) | |||||||
\(702\) | −14.8117 | + | 17.3733i | −0.559030 | + | 0.655713i | ||||
\(703\) | −4.36148 | − | 0.927061i | −0.164496 | − | 0.0349648i | ||||
\(704\) | −5.10447 | + | 2.27266i | −0.192382 | + | 0.0856540i | ||||
\(705\) | −8.80957 | + | 43.4597i | −0.331788 | + | 1.63679i | ||||
\(706\) | −9.26138 | + | 20.8014i | −0.348557 | + | 0.782871i | ||||
\(707\) | −6.30401 | − | 10.9189i | −0.237087 | − | 0.410646i | ||||
\(708\) | 14.9111 | − | 3.86097i | 0.560394 | − | 0.145104i | ||||
\(709\) | −2.81846 | − | 3.87927i | −0.105849 | − | 0.145689i | 0.752806 | − | 0.658242i | \(-0.228700\pi\) |
−0.858656 | + | 0.512553i | \(0.828700\pi\) | |||||||
\(710\) | −10.7251 | − | 1.50271i | −0.402507 | − | 0.0563958i | ||||
\(711\) | −1.10811 | − | 3.61684i | −0.0415574 | − | 0.135642i | ||||
\(712\) | −4.00593 | −0.150128 | ||||||||
\(713\) | 5.47721 | + | 0.240257i | 0.205123 | + | 0.00899769i | ||||
\(714\) | 0.0425593 | − | 0.0418476i | 0.00159274 | − | 0.00156611i | ||||
\(715\) | −54.8624 | − | 1.89270i | −2.05174 | − | 0.0707828i | ||||
\(716\) | 20.5657 | − | 4.37138i | 0.768577 | − | 0.163366i | ||||
\(717\) | −2.11636 | + | 12.6698i | −0.0790368 | + | 0.473162i | ||||
\(718\) | 14.4006 | + | 8.31419i | 0.537426 | + | 0.310283i | ||||
\(719\) | 6.78818 | + | 11.7575i | 0.253156 | + | 0.438480i | 0.964393 | − | 0.264473i | \(-0.0851979\pi\) |
−0.711237 | + | 0.702953i | \(0.751865\pi\) | |||||||
\(720\) | 4.74821 | + | 4.73862i | 0.176955 | + | 0.176598i | ||||
\(721\) | 11.9213 | + | 8.66135i | 0.443973 | + | 0.322565i | ||||
\(722\) | 15.1066 | − | 6.72589i | 0.562209 | − | 0.250312i | ||||
\(723\) | −13.1794 | − | 20.6741i | −0.490148 | − | 0.768878i | ||||
\(724\) | −2.09980 | + | 0.220698i | −0.0780386 | + | 0.00820218i | ||||
\(725\) | −16.1387 | + | 2.28201i | −0.599376 | + | 0.0847519i | ||||
\(726\) | −34.9585 | − | 2.12781i | −1.29743 | − | 0.0789705i | ||||
\(727\) | 10.8327 | + | 1.13857i | 0.401764 | + | 0.0422271i | 0.303256 | − | 0.952909i | \(-0.401926\pi\) |
0.0985079 | + | 0.995136i | \(0.468593\pi\) | |||||||
\(728\) | −4.41707 | − | 1.43519i | −0.163708 | − | 0.0531918i | ||||
\(729\) | 25.2237 | + | 9.63136i | 0.934213 | + | 0.356717i | ||||
\(730\) | −11.8969 | − | 5.79630i | −0.440324 | − | 0.214531i | ||||
\(731\) | 0.206096 | − | 0.185570i | 0.00762275 | − | 0.00686355i | ||||
\(732\) | 0.433404 | − | 0.0190508i | 0.0160191 | − | 0.000704136i | ||||
\(733\) | −14.9338 | + | 1.56960i | −0.551591 | + | 0.0579746i | −0.376224 | − | 0.926529i | \(-0.622778\pi\) |
−0.175367 | + | 0.984503i | \(0.556111\pi\) | |||||||
\(734\) | −10.9686 | − | 2.33146i | −0.404860 | − | 0.0860556i | ||||
\(735\) | 17.0745 | + | 15.0844i | 0.629802 | + | 0.556398i | ||||
\(736\) | −0.578782 | + | 0.796625i | −0.0213342 | + | 0.0293640i | ||||
\(737\) | −13.2698 | + | 29.8044i | −0.488798 | + | 1.09786i | ||||
\(738\) | −12.6221 | − | 22.7392i | −0.464625 | − | 0.837042i | ||||
\(739\) | 15.8027 | + | 9.12371i | 0.581313 | + | 0.335621i | 0.761655 | − | 0.647983i | \(-0.224387\pi\) |
−0.180342 | + | 0.983604i | \(0.557721\pi\) | |||||||
\(740\) | −1.75343 | − | 6.10523i | −0.0644574 | − | 0.224433i | ||||
\(741\) | 6.59000 | − | 9.96278i | 0.242090 | − | 0.365992i | ||||
\(742\) | −0.869077 | − | 2.67474i | −0.0319048 | − | 0.0981930i | ||||
\(743\) | 2.07548i | 0.0761419i | 0.999275 | + | 0.0380710i | \(0.0121213\pi\) | ||||
−0.999275 | + | 0.0380710i | \(0.987879\pi\) | |||||||
\(744\) | −7.80239 | − | 5.66768i | −0.286050 | − | 0.207787i | ||||
\(745\) | −15.5785 | − | 5.66269i | −0.570754 | − | 0.207465i | ||||
\(746\) | 11.4590 | − | 3.72325i | 0.419543 | − | 0.136318i | ||||
\(747\) | 24.6356 | − | 4.80374i | 0.901369 | − | 0.175760i | ||||
\(748\) | −0.107067 | − | 0.147365i | −0.00391477 | − | 0.00538821i | ||||
\(749\) | −16.5858 | − | 9.57584i | −0.606033 | − | 0.349893i | ||||
\(750\) | 18.7405 | − | 4.87780i | 0.684307 | − | 0.178112i | ||||
\(751\) | −14.9351 | − | 6.64954i | −0.544990 | − | 0.242645i | 0.115726 | − | 0.993281i | \(-0.463081\pi\) |
−0.660716 | + | 0.750636i | \(0.729747\pi\) | |||||||
\(752\) | 9.26281 | + | 6.72983i | 0.337780 | + | 0.245411i | ||||
\(753\) | −17.7461 | + | 45.0900i | −0.646704 | + | 1.64317i | ||||
\(754\) | −14.0097 | − | 2.97786i | −0.510203 | − | 0.108447i | ||||
\(755\) | −7.60523 | + | 30.5578i | −0.276783 | + | 1.11211i | ||||
\(756\) | 0.148635 | + | 5.49065i | 0.00540579 | + | 0.199693i | ||||
\(757\) | 10.0909 | + | 11.2071i | 0.366759 | + | 0.407327i | 0.898072 | − | 0.439848i | \(-0.144968\pi\) |
−0.531313 | + | 0.847176i | \(0.678301\pi\) | |||||||
\(758\) | 3.14994 | − | 29.9697i | 0.114411 | − | 1.08855i | ||||
\(759\) | −8.52717 | + | 4.25463i | −0.309517 | + | 0.154433i | ||||
\(760\) | −2.76670 | − | 2.15970i | −0.100359 | − | 0.0783407i | ||||
\(761\) | 1.45062 | − | 13.8017i | 0.0525849 | − | 0.500312i | −0.936254 | − | 0.351324i | \(-0.885732\pi\) |
0.988839 | − | 0.148988i | \(-0.0476016\pi\) | |||||||
\(762\) | 6.51179 | + | 0.396352i | 0.235897 | + | 0.0143583i | ||||
\(763\) | −9.42224 | − | 8.48382i | −0.341108 | − | 0.307135i | ||||
\(764\) | −25.9151 | + | 2.72378i | −0.937575 | + | 0.0985431i | ||||
\(765\) | −0.118920 | + | 0.183527i | −0.00429957 | + | 0.00663542i | ||||
\(766\) | −6.97756 | − | 15.6718i | −0.252109 | − | 0.566247i | ||||
\(767\) | 22.9661 | − | 31.6101i | 0.829258 | − | 1.14138i | ||||
\(768\) | 1.62219 | − | 0.607055i | 0.0585356 | − | 0.0219052i | ||||
\(769\) | −21.8809 | − | 37.8988i | −0.789044 | − | 1.36666i | −0.926553 | − | 0.376164i | \(-0.877243\pi\) |
0.137509 | − | 0.990500i | \(-0.456090\pi\) | |||||||
\(770\) | −10.1136 | + | 8.49360i | −0.364470 | + | 0.306088i | ||||
\(771\) | 5.63013 | − | 33.7053i | 0.202764 | − | 1.21387i | ||||
\(772\) | −1.89534 | − | 8.91686i | −0.0682146 | − | 0.320925i | ||||
\(773\) | −1.37625 | + | 0.447171i | −0.0495003 | + | 0.0160836i | −0.333662 | − | 0.942693i | \(-0.608285\pi\) |
0.284162 | + | 0.958776i | \(0.408285\pi\) | |||||||
\(774\) | −0.430368 | + | 25.5176i | −0.0154693 | + | 0.917210i | ||||
\(775\) | −25.5228 | + | 11.1170i | −0.916805 | + | 0.399335i | ||||
\(776\) | 5.48864i | 0.197031i | ||||||||
\(777\) | 2.40021 | − | 4.61407i | 0.0861070 | − | 0.165529i | ||||
\(778\) | −15.1760 | + | 3.22576i | −0.544086 | + | 0.115649i | ||||
\(779\) | 7.99829 | + | 11.0087i | 0.286568 | + | 0.394427i | ||||
\(780\) | 16.9394 | + | 1.61884i | 0.606529 | + | 0.0579638i | ||||
\(781\) | −23.4364 | + | 13.5310i | −0.838620 | + | 0.484178i | ||||
\(782\) | −0.0293254 | − | 0.0130565i | −0.00104867 | − | 0.000466899i | ||||
\(783\) | 2.22578 | + | 16.7918i | 0.0795430 | + | 0.600090i | ||||
\(784\) | 5.37404 | − | 2.39268i | 0.191930 | − | 0.0854527i | ||||
\(785\) | −10.7304 | − | 6.69879i | −0.382983 | − | 0.239090i | ||||
\(786\) | −7.93511 | + | 9.63184i | −0.283036 | + | 0.343556i | ||||
\(787\) | 8.53965 | − | 9.48424i | 0.304405 | − | 0.338077i | −0.571462 | − | 0.820629i | \(-0.693623\pi\) |
0.875867 | + | 0.482552i | \(0.160290\pi\) | |||||||
\(788\) | 4.46063 | − | 4.01637i | 0.158904 | − | 0.143077i | ||||
\(789\) | −30.9803 | + | 24.6577i | −1.10293 | + | 0.877839i | ||||
\(790\) | −1.73493 | + | 2.22254i | −0.0617262 | + | 0.0790746i | ||||
\(791\) | 1.65825 | + | 0.538799i | 0.0589607 | + | 0.0191575i | ||||
\(792\) | 16.6389 | + | 2.03305i | 0.591237 | + | 0.0722411i | ||||
\(793\) | 0.817809 | − | 0.736358i | 0.0290412 | − | 0.0261489i | ||||
\(794\) | 25.3040 | + | 22.7838i | 0.898005 | + | 0.808567i | ||||
\(795\) | 5.23621 | + | 8.87479i | 0.185709 | + | 0.314756i | ||||
\(796\) | 0.243400 | − | 1.14510i | 0.00862707 | − | 0.0405872i | ||||
\(797\) | 4.01693 | + | 9.02218i | 0.142287 | + | 0.319582i | 0.970606 | − | 0.240675i | \(-0.0773689\pi\) |
−0.828319 | + | 0.560257i | \(0.810702\pi\) | |||||||
\(798\) | −0.425618 | − | 2.84215i | −0.0150667 | − | 0.100611i | ||||
\(799\) | −0.151815 | + | 0.340983i | −0.00537084 | + | 0.0120631i | ||||
\(800\) | 0.864091 | − | 4.92477i | 0.0305502 | − | 0.174117i | ||||
\(801\) | 10.3049 | + | 6.18354i | 0.364106 | + | 0.218485i | ||||
\(802\) | −22.3362 | + | 16.2282i | −0.788717 | + | 0.573036i | ||||
\(803\) | −32.3463 | + | 6.87541i | −1.14148 | + | 0.242628i | ||||
\(804\) | 4.66713 | − | 8.97192i | 0.164597 | − | 0.316415i | ||||
\(805\) | −0.795116 | + | 2.18743i | −0.0280242 | + | 0.0770968i | ||||
\(806\) | −24.4176 | + | 1.48846i | −0.860073 | + | 0.0524287i | ||||
\(807\) | −6.83230 | + | 6.71804i | −0.240508 | + | 0.236486i | ||||
\(808\) | 11.3436 | − | 3.68577i | 0.399068 | − | 0.129665i | ||||
\(809\) | 24.6775 | − | 5.24537i | 0.867616 | − | 0.184417i | 0.247462 | − | 0.968898i | \(-0.420404\pi\) |
0.620154 | + | 0.784480i | \(0.287070\pi\) | |||||||
\(810\) | −4.89982 | − | 19.5190i | −0.172162 | − | 0.685828i | ||||
\(811\) | 20.3669 | − | 35.2765i | 0.715179 | − | 1.23873i | −0.247712 | − | 0.968834i | \(-0.579679\pi\) |
0.962891 | − | 0.269892i | \(-0.0869880\pi\) | |||||||
\(812\) | −2.98420 | + | 1.72293i | −0.104725 | + | 0.0604630i | ||||
\(813\) | 6.26035 | + | 16.7290i | 0.219560 | + | 0.586713i | ||||
\(814\) | −12.8412 | − | 9.32969i | −0.450085 | − | 0.327006i | ||||
\(815\) | −0.229136 | + | 0.0161197i | −0.00802627 | + | 0.000564650i | ||||
\(816\) | 0.0303525 | + | 0.0476130i | 0.00106255 | + | 0.00166679i | ||||
\(817\) | −1.39578 | − | 13.2799i | −0.0488320 | − | 0.464605i | ||||
\(818\) | −17.5543 | − | 15.8059i | −0.613771 | − | 0.552642i | ||||
\(819\) | 9.14716 | + | 10.5101i | 0.319628 | + | 0.367252i | ||||
\(820\) | −8.49041 | + | 17.4265i | −0.296498 | + | 0.608561i | ||||
\(821\) | 9.15029 | − | 28.1617i | 0.319347 | − | 0.982850i | −0.654580 | − | 0.755992i | \(-0.727155\pi\) |
0.973928 | − | 0.226858i | \(-0.0728453\pi\) | |||||||
\(822\) | 12.4660 | − | 6.21990i | 0.434801 | − | 0.216944i | ||||
\(823\) | −2.61305 | + | 24.8615i | −0.0910853 | + | 0.866619i | 0.849620 | + | 0.527395i | \(0.176831\pi\) |
−0.940706 | + | 0.339224i | \(0.889836\pi\) | |||||||
\(824\) | −10.3595 | + | 9.32775i | −0.360891 | + | 0.324948i | ||||
\(825\) | 29.4140 | − | 38.4235i | 1.02406 | − | 1.33773i | ||||
\(826\) | −0.982599 | − | 9.34881i | −0.0341890 | − | 0.325287i | ||||
\(827\) | −7.92081 | + | 37.2645i | −0.275434 | + | 1.29581i | 0.595079 | + | 0.803667i | \(0.297121\pi\) |
−0.870513 | + | 0.492146i | \(0.836213\pi\) | |||||||
\(828\) | 2.71853 | − | 1.15584i | 0.0944756 | − | 0.0401682i | ||||
\(829\) | 16.6094 | − | 22.8609i | 0.576870 | − | 0.793993i | −0.416478 | − | 0.909146i | \(-0.636736\pi\) |
0.993348 | + | 0.115153i | \(0.0367358\pi\) | |||||||
\(830\) | −13.4630 | − | 12.9901i | −0.467306 | − | 0.450892i | ||||
\(831\) | 25.3400 | + | 7.01936i | 0.879034 | + | 0.243499i | ||||
\(832\) | 2.19684 | − | 3.80503i | 0.0761616 | − | 0.131916i | ||||
\(833\) | 0.112721 | + | 0.155148i | 0.00390557 | + | 0.00537555i | ||||
\(834\) | −29.3063 | − | 19.3850i | −1.01479 | − | 0.671247i | ||||
\(835\) | −1.34234 | + | 38.9096i | −0.0464536 | + | 1.34652i | ||||
\(836\) | −8.77046 | −0.303333 | ||||||||
\(837\) | 11.3223 | + | 26.6234i | 0.391357 | + | 0.920239i | ||||
\(838\) | − | 23.3764i | − | 0.807525i | ||||||
\(839\) | 2.63350 | − | 0.855677i | 0.0909187 | − | 0.0295413i | −0.263204 | − | 0.964740i | \(-0.584779\pi\) |
0.354123 | + | 0.935199i | \(0.384779\pi\) | |||||||
\(840\) | 3.28923 | − | 2.43755i | 0.113489 | − | 0.0841035i | ||||
\(841\) | 14.8644 | − | 10.7996i | 0.512565 | − | 0.372400i | ||||
\(842\) | 19.1226 | − | 33.1214i | 0.659010 | − | 1.14144i | ||||
\(843\) | −4.17963 | + | 15.0885i | −0.143954 | + | 0.519676i | ||||
\(844\) | −13.6369 | − | 6.07152i | −0.469400 | − | 0.208990i | ||||
\(845\) | 11.6836 | − | 7.88783i | 0.401927 | − | 0.271349i | ||||
\(846\) | −13.4396 | − | 31.6099i | −0.462063 | − | 1.08677i | ||||
\(847\) | −4.44400 | + | 20.9074i | −0.152698 | + | 0.718386i | ||||
\(848\) | 2.64600 | − | 0.278106i | 0.0908640 | − | 0.00955019i | ||||
\(849\) | 36.4437 | − | 1.60193i | 1.25075 | − | 0.0549780i | ||||
\(850\) | 0.162896 | − | 0.00582587i | 0.00558728 | − | 0.000199826i | ||||
\(851\) | −2.78188 | − | 0.292387i | −0.0953616 | − | 0.0100229i | ||||
\(852\) | 7.50633 | − | 3.74528i | 0.257162 | − | 0.128311i | ||||
\(853\) | 11.7355 | + | 3.81311i | 0.401818 | + | 0.130558i | 0.502952 | − | 0.864314i | \(-0.332247\pi\) |
−0.101135 | + | 0.994873i | \(0.532247\pi\) | |||||||
\(854\) | 0.0276749 | − | 0.263309i | 0.000947016 | − | 0.00901025i | ||||
\(855\) | 3.78337 | + | 9.82631i | 0.129388 | + | 0.336053i | ||||
\(856\) | 12.1232 | − | 13.4642i | 0.414362 | − | 0.460196i | ||||
\(857\) | 0.132213 | + | 1.25792i | 0.00451630 | + | 0.0429697i | 0.996548 | − | 0.0830192i | \(-0.0264563\pi\) |
−0.992032 | + | 0.125989i | \(0.959790\pi\) | |||||||
\(858\) | 35.8556 | − | 22.8574i | 1.22409 | − | 0.780338i | ||||
\(859\) | 14.9730 | + | 33.6299i | 0.510872 | + | 1.14744i | 0.966360 | + | 0.257195i | \(0.0827982\pi\) |
−0.455488 | + | 0.890242i | \(0.650535\pi\) | |||||||
\(860\) | 15.7658 | − | 10.6438i | 0.537609 | − | 0.362951i | ||||
\(861\) | −14.8654 | + | 5.56295i | −0.506613 | + | 0.189585i | ||||
\(862\) | −12.4603 | + | 7.19396i | −0.424400 | + | 0.245027i | ||||
\(863\) | 22.2948 | + | 12.8719i | 0.758923 | + | 0.438165i | 0.828909 | − | 0.559383i | \(-0.188962\pi\) |
−0.0699858 | + | 0.997548i | \(0.522295\pi\) | |||||||
\(864\) | −5.10998 | − | 0.942407i | −0.173845 | − | 0.0320613i | ||||
\(865\) | 2.20997 | − | 15.7730i | 0.0751412 | − | 0.536296i | ||||
\(866\) | −8.23904 | − | 25.3572i | −0.279974 | − | 0.861671i | ||||
\(867\) | 20.9942 | − | 20.6431i | 0.712999 | − | 0.701076i | ||||
\(868\) | −4.12604 | + | 4.19698i | −0.140047 | + | 0.142455i | ||||
\(869\) | 7.04549i | 0.239002i | ||||||||
\(870\) | 9.30226 | − | 8.53621i | 0.315376 | − | 0.289405i | ||||
\(871\) | −5.33379 | − | 25.0935i | −0.180728 | − | 0.850260i | ||||
\(872\) | 9.70371 | − | 7.05016i | 0.328609 | − | 0.238748i | ||||
\(873\) | 8.47226 | − | 14.1191i | 0.286743 | − | 0.477858i | ||||
\(874\) | −1.33853 | + | 0.772801i | −0.0452765 | + | 0.0261404i | ||||
\(875\) | −1.25021 | − | 11.7520i | −0.0422646 | − | 0.397290i | ||||
\(876\) | 10.1378 | − | 1.51816i | 0.342525 | − | 0.0512938i | ||||
\(877\) | 2.39384 | + | 5.37665i | 0.0808342 | + | 0.181557i | 0.949441 | − | 0.313945i | \(-0.101651\pi\) |
−0.868607 | + | 0.495502i | \(0.834984\pi\) | |||||||
\(878\) | −34.5806 | − | 7.35034i | −1.16704 | − | 0.248062i | ||||
\(879\) | −19.2761 | − | 15.8804i | −0.650166 | − | 0.535633i | ||||
\(880\) | −5.87028 | − | 11.0292i | −0.197887 | − | 0.371794i | ||||
\(881\) | −18.7047 | − | 20.7737i | −0.630178 | − | 0.699884i | 0.340506 | − | 0.940242i | \(-0.389402\pi\) |
−0.970684 | + | 0.240359i | \(0.922735\pi\) | |||||||
\(882\) | −17.5176 | − | 2.14041i | −0.589848 | − | 0.0720713i | ||||
\(883\) | 8.94576 | − | 27.5322i | 0.301049 | − | 0.926533i | −0.680073 | − | 0.733144i | \(-0.738052\pi\) |
0.981122 | − | 0.193389i | \(-0.0619479\pi\) | |||||||
\(884\) | 0.136223 | + | 0.0442616i | 0.00458168 | + | 0.00148868i | ||||
\(885\) | 10.9520 | + | 32.6542i | 0.368146 | + | 1.09766i | ||||
\(886\) | 4.98175 | + | 5.53279i | 0.167365 | + | 0.185878i | ||||
\(887\) | −16.9225 | + | 18.7943i | −0.568201 | + | 0.631052i | −0.956936 | − | 0.290298i | \(-0.906246\pi\) |
0.388735 | + | 0.921350i | \(0.372912\pi\) | |||||||
\(888\) | 3.79752 | + | 3.12855i | 0.127436 | + | 0.104987i | ||||
\(889\) | 0.827794 | − | 3.89446i | 0.0277633 | − | 0.130616i | ||||
\(890\) | −0.628610 | − | 8.93544i | −0.0210711 | − | 0.299517i | ||||
\(891\) | −39.6639 | − | 30.9136i | −1.32879 | − | 1.03564i | ||||
\(892\) | 2.78709 | + | 1.24089i | 0.0933188 | + | 0.0415482i | ||||
\(893\) | 8.98579 | + | 15.5639i | 0.300698 | + | 0.520824i | ||||
\(894\) | 12.4296 | − | 3.21843i | 0.415709 | − | 0.107640i | ||||
\(895\) | 12.9778 | + | 45.1870i | 0.433799 | + | 1.51044i | ||||
\(896\) | −0.219776 | − | 1.03396i | −0.00734219 | − | 0.0345423i | ||||
\(897\) | 3.45815 | − | 6.64783i | 0.115464 | − | 0.221965i | ||||
\(898\) | −14.7617 | −0.492606 | ||||||||
\(899\) | −11.3016 | + | 14.2021i | −0.376928 | + | 0.473666i | ||||
\(900\) | −9.82466 | + | 11.3347i | −0.327489 | + | 0.377824i | ||||
\(901\) | 0.0268025 | + | 0.0824895i | 0.000892920 | + | 0.00274813i | ||||
\(902\) | 10.0711 | + | 47.3808i | 0.335331 | + | 1.57761i | ||||
\(903\) | 15.3626 | + | 2.56617i | 0.511236 | + | 0.0853967i | ||||
\(904\) | −0.824735 | + | 1.42848i | −0.0274303 | + | 0.0475106i | ||||
\(905\) | −0.821781 | − | 4.64909i | −0.0273169 | − | 0.154541i | ||||
\(906\) | −8.54899 | − | 22.8448i | −0.284021 | − | 0.758967i | ||||
\(907\) | 20.8652 | − | 28.7184i | 0.692816 | − | 0.953579i | −0.307182 | − | 0.951651i | \(-0.599386\pi\) |
0.999998 | − | 0.00192861i | \(-0.000613897\pi\) | |||||||
\(908\) | 21.2794 | − | 9.47418i | 0.706181 | − | 0.314412i | ||||
\(909\) | −34.8699 | − | 8.02870i | −1.15656 | − | 0.266295i | ||||
\(910\) | 2.50815 | − | 10.0777i | 0.0831444 | − | 0.334074i | ||||
\(911\) | 18.2839 | − | 20.3063i | 0.605772 | − | 0.672778i | −0.359765 | − | 0.933043i | \(-0.617143\pi\) |
0.965537 | + | 0.260265i | \(0.0838098\pi\) | |||||||
\(912\) | 2.71368 | + | 0.165173i | 0.0898590 | + | 0.00546943i | ||||
\(913\) | −46.4922 | − | 4.88653i | −1.53867 | − | 0.161721i | ||||
\(914\) | 9.51504 | − | 29.2843i | 0.314730 | − | 0.968638i | ||||
\(915\) | 0.110503 | + | 0.963741i | 0.00365313 | + | 0.0318603i | ||||
\(916\) | −12.4281 | − | 1.30625i | −0.410637 | − | 0.0431597i | ||||
\(917\) | 5.09623 | + | 5.65993i | 0.168292 | + | 0.186907i | ||||
\(918\) | −0.00458392 | − | 0.169332i | −0.000151292 | − | 0.00558880i | ||||
\(919\) | 0.224075 | + | 2.13193i | 0.00739155 | + | 0.0703259i | 0.997596 | − | 0.0693002i | \(-0.0220766\pi\) |
−0.990204 | + | 0.139626i | \(0.955410\pi\) | |||||||
\(920\) | −1.86774 | − | 1.16600i | −0.0615775 | − | 0.0384418i | ||||
\(921\) | −53.6818 | − | 21.1275i | −1.76887 | − | 0.696176i | ||||
\(922\) | 26.0934 | + | 18.9580i | 0.859341 | + | 0.624348i | ||||
\(923\) | 8.65526 | − | 19.4400i | 0.284891 | − | 0.639877i | ||||
\(924\) | 2.73098 | − | 9.85889i | 0.0898428 | − | 0.324334i | ||||
\(925\) | 13.3429 | − | 4.86916i | 0.438712 | − | 0.160097i | ||||
\(926\) | −4.46303 | + | 3.24258i | −0.146664 | + | 0.106558i | ||||
\(927\) | 41.0473 | − | 8.00388i | 1.34817 | − | 0.262882i | ||||
\(928\) | −1.00735 | − | 3.10030i | −0.0330678 | − | 0.101772i | ||||
\(929\) | −1.54371 | −0.0506473 | −0.0253237 | − | 0.999679i | \(-0.508062\pi\) | ||||
−0.0253237 | + | 0.999679i | \(0.508062\pi\) | |||||||
\(930\) | 11.4177 | − | 18.2930i | 0.374402 | − | 0.599853i | ||||
\(931\) | 9.23362 | 0.302620 | ||||||||
\(932\) | −7.76743 | − | 23.9057i | −0.254431 | − | 0.783057i | ||||
\(933\) | −35.5905 | − | 23.5418i | −1.16518 | − | 0.770723i | ||||
\(934\) | −19.0574 | + | 13.8460i | −0.623577 | + | 0.453055i | ||||
\(935\) | 0.311906 | − | 0.261944i | 0.0102004 | − | 0.00856648i | ||||
\(936\) | −11.5246 | + | 6.39707i | −0.376693 | + | 0.209095i | ||||
\(937\) | −0.799364 | + | 1.79540i | −0.0261141 | + | 0.0586532i | −0.926132 | − | 0.377200i | \(-0.876887\pi\) |
0.900018 | + | 0.435854i | \(0.143553\pi\) | |||||||
\(938\) | −4.99330 | − | 3.62784i | −0.163037 | − | 0.118453i | ||||
\(939\) | −0.261771 | + | 0.665119i | −0.00854257 | + | 0.0217053i | ||||
\(940\) | −13.5577 | + | 21.7173i | −0.442204 | + | 0.708339i | ||||
\(941\) | 0.0669443 | + | 0.636933i | 0.00218232 | + | 0.0207634i | 0.995559 | − | 0.0941411i | \(-0.0300105\pi\) |
−0.993377 | + | 0.114904i | \(0.963344\pi\) | |||||||
\(942\) | 9.78894 | − | 0.430284i | 0.318941 | − | 0.0140194i | ||||
\(943\) | 5.71194 | + | 6.34376i | 0.186007 | + | 0.206581i | ||||
\(944\) | 8.84414 | + | 0.929557i | 0.287852 | + | 0.0302545i | ||||
\(945\) | −12.2239 | + | 1.19313i | −0.397642 | + | 0.0388125i | ||||
\(946\) | 14.6887 | − | 45.2071i | 0.477570 | − | 1.46981i | ||||
\(947\) | −25.9758 | − | 2.73016i | −0.844098 | − | 0.0887183i | −0.327400 | − | 0.944886i | \(-0.606172\pi\) |
−0.516698 | + | 0.856167i | \(0.672839\pi\) | |||||||
\(948\) | 0.132687 | − | 2.17996i | 0.00430948 | − | 0.0708017i | ||||
\(949\) | 17.3995 | − | 19.3241i | 0.564812 | − | 0.627288i | ||||
\(950\) | 4.38319 | − | 6.51017i | 0.142209 | − | 0.211218i | ||||
\(951\) | 29.2872 | − | 18.6701i | 0.949701 | − | 0.605420i | ||||
\(952\) | 0.0314809 | − | 0.0140162i | 0.00102030 | − | 0.000454268i | ||||
\(953\) | −6.11182 | + | 8.41220i | −0.197981 | + | 0.272498i | −0.896452 | − | 0.443141i | \(-0.853864\pi\) |
0.698471 | + | 0.715639i | \(0.253864\pi\) | |||||||
\(954\) | −7.23589 | − | 3.36896i | −0.234270 | − | 0.109074i | ||||
\(955\) | −10.1421 | − | 57.3776i | −0.328192 | − | 1.85670i | ||||
\(956\) | −3.70813 | + | 6.42266i | −0.119929 | + | 0.207724i | ||||
\(957\) | 5.19784 | − | 31.1174i | 0.168022 | − | 1.00588i | ||||
\(958\) | 7.31834 | + | 34.4301i | 0.236445 | + | 1.11239i | ||||
\(959\) | −2.62737 | − | 8.08622i | −0.0848423 | − | 0.261118i | ||||
\(960\) | 1.60862 | + | 3.52311i | 0.0519181 | + | 0.113708i | ||||
\(961\) | −12.1243 | + | 28.5307i | −0.391106 | + | 0.920346i | ||||
\(962\) | 12.4812 | 0.402409 | ||||||||
\(963\) | −51.9691 | + | 15.9220i | −1.67468 | + | 0.513081i | ||||
\(964\) | −2.94305 | − | 13.8460i | −0.0947892 | − | 0.445948i | ||||
\(965\) | 19.5921 | − | 5.62688i | 0.630693 | − | 0.181136i | ||||
\(966\) | −0.451910 | − | 1.74528i | −0.0145400 | − | 0.0561536i | ||||
\(967\) | −3.52860 | − | 6.11172i | −0.113472 | − | 0.196540i | 0.803696 | − | 0.595040i | \(-0.202864\pi\) |
−0.917168 | + | 0.398501i | \(0.869531\pi\) | |||||||
\(968\) | −18.4725 | − | 8.22447i | −0.593728 | − | 0.264345i | ||||
\(969\) | 0.0131261 | + | 0.0876523i | 0.000421672 | + | 0.00281580i | ||||
\(970\) | −12.2427 | + | 0.861278i | −0.393090 | + | 0.0276540i | ||||
\(971\) | 3.22904 | − | 15.1914i | 0.103625 | − | 0.487516i | −0.895476 | − | 0.445110i | \(-0.853164\pi\) |
0.999100 | − | 0.0424056i | \(-0.0135022\pi\) | |||||||
\(972\) | 11.6903 | + | 10.3120i | 0.374966 | + | 0.330758i | ||||
\(973\) | −14.3489 | + | 15.9361i | −0.460006 | + | 0.510889i | ||||
\(974\) | 9.16648 | + | 10.1804i | 0.293713 | + | 0.326201i | ||||
\(975\) | −0.952781 | + | 38.0384i | −0.0305134 | + | 1.21820i | ||||
\(976\) | 0.238209 | + | 0.0773986i | 0.00762487 | + | 0.00247747i | ||||
\(977\) | 13.7068 | − | 42.1853i | 0.438520 | − | 1.34963i | −0.450915 | − | 0.892567i | \(-0.648902\pi\) |
0.889436 | − | 0.457060i | \(-0.151098\pi\) | |||||||
\(978\) | 0.139214 | − | 0.110803i | 0.00445157 | − | 0.00354308i | ||||
\(979\) | −14.9773 | − | 16.6340i | −0.478678 | − | 0.531626i | ||||
\(980\) | 6.18029 | + | 11.6116i | 0.197422 | + | 0.370920i | ||||
\(981\) | −35.8446 | + | 3.15728i | −1.14443 | + | 0.100804i | ||||
\(982\) | 26.7508 | + | 5.68606i | 0.853653 | + | 0.181450i | ||||
\(983\) | 24.0439 | + | 54.0035i | 0.766882 | + | 1.72245i | 0.688172 | + | 0.725547i | \(0.258413\pi\) |
0.0787098 | + | 0.996898i | \(0.474920\pi\) | |||||||
\(984\) | −2.22380 | − | 14.8498i | −0.0708920 | − | 0.473395i | ||||
\(985\) | 9.65870 | + | 9.31944i | 0.307752 | + | 0.296942i | ||||
\(986\) | 0.0920333 | − | 0.0531354i | 0.00293094 | − | 0.00169218i | ||||
\(987\) | −20.2934 | + | 5.25461i | −0.645946 | + | 0.167256i | ||||
\(988\) | 5.57939 | − | 4.05366i | 0.177504 | − | 0.128964i | ||||
\(989\) | −1.74163 | − | 8.19370i | −0.0553805 | − | 0.260545i | ||||
\(990\) | −1.92385 | + | 37.4330i | −0.0611438 | + | 1.18970i | ||||
\(991\) | 50.2400i | 1.59593i | 0.602705 | + | 0.797964i | \(0.294089\pi\) | ||||
−0.602705 | + | 0.797964i | \(0.705911\pi\) | |||||||
\(992\) | −3.07211 | − | 4.64350i | −0.0975396 | − | 0.147431i | ||||
\(993\) | −8.26858 | − | 8.40921i | −0.262395 | − | 0.266858i | ||||
\(994\) | −1.58206 | − | 4.86907i | −0.0501798 | − | 0.154438i | ||||
\(995\) | 2.59241 | + | 0.363226i | 0.0821850 | + | 0.0115150i | ||||
\(996\) | 14.2932 | + | 2.38753i | 0.452898 | + | 0.0756519i | ||||
\(997\) | −22.5205 | − | 13.0022i | −0.713232 | − | 0.411785i | 0.0990244 | − | 0.995085i | \(-0.468428\pi\) |
−0.812257 | + | 0.583300i | \(0.801761\pi\) | |||||||
\(998\) | −1.95633 | + | 1.12949i | −0.0619266 | + | 0.0357533i | ||||
\(999\) | −4.93955 | − | 13.9098i | −0.156281 | − | 0.440086i |
(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 | 930.2.bo.b.179.11 | yes | 256 | |
3.2 | odd | 2 | 930.2.bo.a.179.6 | ✓ | 256 | ||
5.4 | even | 2 | 930.2.bo.a.179.22 | yes | 256 | ||
15.14 | odd | 2 | inner | 930.2.bo.b.179.27 | yes | 256 | |
31.22 | odd | 30 | inner | 930.2.bo.b.239.27 | yes | 256 | |
93.53 | even | 30 | 930.2.bo.a.239.22 | yes | 256 | ||
155.84 | odd | 30 | 930.2.bo.a.239.6 | yes | 256 | ||
465.239 | even | 30 | inner | 930.2.bo.b.239.11 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bo.a.179.6 | ✓ | 256 | 3.2 | odd | 2 | ||
930.2.bo.a.179.22 | yes | 256 | 5.4 | even | 2 | ||
930.2.bo.a.239.6 | yes | 256 | 155.84 | odd | 30 | ||
930.2.bo.a.239.22 | yes | 256 | 93.53 | even | 30 | ||
930.2.bo.b.179.11 | yes | 256 | 1.1 | even | 1 | trivial | |
930.2.bo.b.179.27 | yes | 256 | 15.14 | odd | 2 | inner | |
930.2.bo.b.239.11 | yes | 256 | 465.239 | even | 30 | inner | |
930.2.bo.b.239.27 | yes | 256 | 31.22 | odd | 30 | inner |