Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [760,2,Mod(267,760)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(760, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("760.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 760 = 2^{3} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 760.w (of order \(4\), degree \(2\), 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: | \(6.06863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(54\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 723.40 | ||
Character | \(\chi\) | \(=\) | 760.723 |
Dual form | 760.2.w.d.267.40 |
$q$-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 \(\left(\mathbb{Z}/760\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(381\) | \(401\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.922945 | + | 1.07153i | 0.652620 | + | 0.757685i | ||||
\(3\) | 0.0817665 | + | 0.0817665i | 0.0472079 | + | 0.0472079i | 0.730317 | − | 0.683109i | \(-0.239373\pi\) |
−0.683109 | + | 0.730317i | \(0.739373\pi\) | |||||||
\(4\) | −0.296346 | + | 1.97792i | −0.148173 | + | 0.988961i | ||||
\(5\) | −1.80920 | − | 1.31408i | −0.809098 | − | 0.587674i | ||||
\(6\) | −0.0121492 | + | 0.163081i | −0.00495987 | + | 0.0665776i | ||||
\(7\) | −1.71397 | − | 1.71397i | −0.647821 | − | 0.647821i | 0.304645 | − | 0.952466i | \(-0.401462\pi\) |
−0.952466 | + | 0.304645i | \(0.901462\pi\) | |||||||
\(8\) | −2.39291 | + | 1.50797i | −0.846022 | + | 0.533148i | ||||
\(9\) | − | 2.98663i | − | 0.995543i | ||||||
\(10\) | −0.261716 | − | 3.15143i | −0.0827619 | − | 0.996569i | ||||
\(11\) | 1.68163 | 0.507031 | 0.253515 | − | 0.967331i | \(-0.418413\pi\) | ||||
0.253515 | + | 0.967331i | \(0.418413\pi\) | |||||||
\(12\) | −0.185959 | + | 0.137497i | −0.0536817 | + | 0.0396919i | ||||
\(13\) | 1.43476 | − | 1.43476i | 0.397932 | − | 0.397932i | −0.479571 | − | 0.877503i | \(-0.659208\pi\) |
0.877503 | + | 0.479571i | \(0.159208\pi\) | |||||||
\(14\) | 0.254668 | − | 3.41847i | 0.0680629 | − | 0.913625i | ||||
\(15\) | −0.0404841 | − | 0.255379i | −0.0104529 | − | 0.0659387i | ||||
\(16\) | −3.82436 | − | 1.17230i | −0.956090 | − | 0.293075i | ||||
\(17\) | 4.55456 | − | 4.55456i | 1.10464 | − | 1.10464i | 0.110800 | − | 0.993843i | \(-0.464659\pi\) |
0.993843 | − | 0.110800i | \(-0.0353413\pi\) | |||||||
\(18\) | 3.20026 | − | 2.75649i | 0.754308 | − | 0.649712i | ||||
\(19\) | − | 1.00000i | − | 0.229416i | ||||||
\(20\) | 3.13530 | − | 3.18903i | 0.701073 | − | 0.713089i | ||||
\(21\) | − | 0.280291i | − | 0.0611645i | ||||||
\(22\) | 1.55205 | + | 1.80192i | 0.330899 | + | 0.384170i | ||||
\(23\) | 0.291416 | − | 0.291416i | 0.0607645 | − | 0.0607645i | −0.676071 | − | 0.736836i | \(-0.736319\pi\) |
0.736836 | + | 0.676071i | \(0.236319\pi\) | |||||||
\(24\) | −0.318961 | − | 0.0723585i | −0.0651077 | − | 0.0147701i | ||||
\(25\) | 1.54639 | + | 4.75486i | 0.309278 | + | 0.950972i | ||||
\(26\) | 2.86160 | + | 0.213182i | 0.561206 | + | 0.0418085i | ||||
\(27\) | 0.489506 | − | 0.489506i | 0.0942054 | − | 0.0942054i | ||||
\(28\) | 3.89803 | − | 2.88218i | 0.736659 | − | 0.544680i | ||||
\(29\) | 0.499068 | 0.0926747 | 0.0463373 | − | 0.998926i | \(-0.485245\pi\) | ||||
0.0463373 | + | 0.998926i | \(0.485245\pi\) | |||||||
\(30\) | 0.236282 | − | 0.279081i | 0.0431389 | − | 0.0509530i | ||||
\(31\) | − | 2.05973i | − | 0.369938i | −0.982744 | − | 0.184969i | \(-0.940781\pi\) | ||
0.982744 | − | 0.184969i | \(-0.0592185\pi\) | |||||||
\(32\) | −2.27352 | − | 5.17988i | −0.401905 | − | 0.915681i | ||||
\(33\) | 0.137501 | + | 0.137501i | 0.0239359 | + | 0.0239359i | ||||
\(34\) | 9.08395 | + | 0.676733i | 1.55788 | + | 0.116059i | ||||
\(35\) | 0.848619 | + | 5.35321i | 0.143443 | + | 0.904858i | ||||
\(36\) | 5.90732 | + | 0.885075i | 0.984553 | + | 0.147513i | ||||
\(37\) | −4.25853 | − | 4.25853i | −0.700098 | − | 0.700098i | 0.264333 | − | 0.964431i | \(-0.414848\pi\) |
−0.964431 | + | 0.264333i | \(0.914848\pi\) | |||||||
\(38\) | 1.07153 | − | 0.922945i | 0.173825 | − | 0.149721i | ||||
\(39\) | 0.234631 | 0.0375711 | ||||||||
\(40\) | 6.31084 | + | 0.416259i | 0.997832 | + | 0.0658163i | ||||
\(41\) | −5.19926 | −0.811989 | −0.405994 | − | 0.913876i | \(-0.633075\pi\) | ||||
−0.405994 | + | 0.913876i | \(0.633075\pi\) | |||||||
\(42\) | 0.300340 | − | 0.258693i | 0.0463434 | − | 0.0399172i | ||||
\(43\) | 2.30445 | + | 2.30445i | 0.351425 | + | 0.351425i | 0.860639 | − | 0.509215i | \(-0.170064\pi\) |
−0.509215 | + | 0.860639i | \(0.670064\pi\) | |||||||
\(44\) | −0.498345 | + | 3.32614i | −0.0751283 | + | 0.501434i | ||||
\(45\) | −3.92467 | + | 5.40340i | −0.585055 | + | 0.805491i | ||||
\(46\) | 0.581222 | + | 0.0432997i | 0.0856966 | + | 0.00638419i | ||||
\(47\) | −8.59240 | − | 8.59240i | −1.25333 | − | 1.25333i | −0.954218 | − | 0.299113i | \(-0.903309\pi\) |
−0.299113 | − | 0.954218i | \(-0.596691\pi\) | |||||||
\(48\) | −0.216850 | − | 0.408559i | −0.0312995 | − | 0.0589704i | ||||
\(49\) | − | 1.12460i | − | 0.160656i | ||||||
\(50\) | −3.66773 | + | 6.04547i | −0.518696 | + | 0.854959i | ||||
\(51\) | 0.744821 | 0.104296 | ||||||||
\(52\) | 2.41267 | + | 3.26304i | 0.334577 | + | 0.452502i | ||||
\(53\) | 2.04150 | − | 2.04150i | 0.280421 | − | 0.280421i | −0.552856 | − | 0.833277i | \(-0.686462\pi\) |
0.833277 | + | 0.552856i | \(0.186462\pi\) | |||||||
\(54\) | 0.976306 | + | 0.0727325i | 0.132858 | + | 0.00989764i | ||||
\(55\) | −3.04240 | − | 2.20980i | −0.410237 | − | 0.297969i | ||||
\(56\) | 6.68600 | + | 1.51676i | 0.893455 | + | 0.202686i | ||||
\(57\) | 0.0817665 | − | 0.0817665i | 0.0108302 | − | 0.0108302i | ||||
\(58\) | 0.460613 | + | 0.534766i | 0.0604814 | + | 0.0702182i | ||||
\(59\) | 5.44632i | 0.709051i | 0.935046 | + | 0.354525i | \(0.115358\pi\) | ||||
−0.935046 | + | 0.354525i | \(0.884642\pi\) | |||||||
\(60\) | 0.517118 | − | 0.00439373i | 0.0667596 | − | 0.000567228i | ||||
\(61\) | 6.54656i | 0.838201i | 0.907940 | + | 0.419101i | \(0.137655\pi\) | ||||
−0.907940 | + | 0.419101i | \(0.862345\pi\) | |||||||
\(62\) | 2.20706 | − | 1.90102i | 0.280297 | − | 0.241429i | ||||
\(63\) | −5.11900 | + | 5.11900i | −0.644933 | + | 0.644933i | ||||
\(64\) | 3.45205 | − | 7.21688i | 0.431506 | − | 0.902110i | ||||
\(65\) | −4.48117 | + | 0.710378i | −0.555820 | + | 0.0881115i | ||||
\(66\) | −0.0204304 | + | 0.274242i | −0.00251481 | + | 0.0337569i | ||||
\(67\) | 2.56407 | − | 2.56407i | 0.313252 | − | 0.313252i | −0.532916 | − | 0.846168i | \(-0.678904\pi\) |
0.846168 | + | 0.532916i | \(0.178904\pi\) | |||||||
\(68\) | 7.65884 | + | 10.3583i | 0.928771 | + | 1.25613i | ||||
\(69\) | 0.0476562 | 0.00573713 | ||||||||
\(70\) | −4.95289 | + | 5.85004i | −0.591983 | + | 0.699213i | ||||
\(71\) | 8.51554i | 1.01061i | 0.862941 | + | 0.505304i | \(0.168620\pi\) | ||||
−0.862941 | + | 0.505304i | \(0.831380\pi\) | |||||||
\(72\) | 4.50375 | + | 7.14674i | 0.530772 | + | 0.842251i | ||||
\(73\) | −8.77306 | − | 8.77306i | −1.02681 | − | 1.02681i | −0.999631 | − | 0.0271788i | \(-0.991348\pi\) |
−0.0271788 | − | 0.999631i | \(-0.508652\pi\) | |||||||
\(74\) | 0.632748 | − | 8.49352i | 0.0735554 | − | 0.987352i | ||||
\(75\) | −0.262345 | + | 0.515231i | −0.0302930 | + | 0.0594937i | ||||
\(76\) | 1.97792 | + | 0.296346i | 0.226883 | + | 0.0339932i | ||||
\(77\) | −2.88227 | − | 2.88227i | −0.328465 | − | 0.328465i | ||||
\(78\) | 0.216552 | + | 0.251414i | 0.0245196 | + | 0.0284670i | ||||
\(79\) | −0.712885 | −0.0802058 | −0.0401029 | − | 0.999196i | \(-0.512769\pi\) | ||||
−0.0401029 | + | 0.999196i | \(0.512769\pi\) | |||||||
\(80\) | 5.37853 | + | 7.14643i | 0.601337 | + | 0.798995i | ||||
\(81\) | −8.87984 | −0.986648 | ||||||||
\(82\) | −4.79863 | − | 5.57116i | −0.529920 | − | 0.615232i | ||||
\(83\) | 12.4110 | + | 12.4110i | 1.36228 | + | 1.36228i | 0.871004 | + | 0.491276i | \(0.163469\pi\) |
0.491276 | + | 0.871004i | \(0.336531\pi\) | |||||||
\(84\) | 0.554394 | + | 0.0830631i | 0.0604894 | + | 0.00906293i | ||||
\(85\) | −14.2251 | + | 2.25505i | −1.54293 | + | 0.244594i | ||||
\(86\) | −0.342403 | + | 4.59615i | −0.0369222 | + | 0.495616i | ||||
\(87\) | 0.0408071 | + | 0.0408071i | 0.00437498 | + | 0.00437498i | ||||
\(88\) | −4.02399 | + | 2.53585i | −0.428959 | + | 0.270322i | ||||
\(89\) | − | 11.2344i | − | 1.19085i | −0.803411 | − | 0.595424i | \(-0.796984\pi\) | ||
0.803411 | − | 0.595424i | \(-0.203016\pi\) | |||||||
\(90\) | −9.41215 | + | 0.781649i | −0.992127 | + | 0.0823930i | ||||
\(91\) | −4.91829 | −0.515577 | ||||||||
\(92\) | 0.490039 | + | 0.662759i | 0.0510901 | + | 0.0690974i | ||||
\(93\) | 0.168417 | − | 0.168417i | 0.0174640 | − | 0.0174640i | ||||
\(94\) | 1.27669 | − | 17.1373i | 0.131681 | − | 1.76758i | ||||
\(95\) | −1.31408 | + | 1.80920i | −0.134822 | + | 0.185620i | ||||
\(96\) | 0.237642 | − | 0.609438i | 0.0242543 | − | 0.0622005i | ||||
\(97\) | 9.74041 | − | 9.74041i | 0.988989 | − | 0.988989i | −0.0109510 | − | 0.999940i | \(-0.503486\pi\) |
0.999940 | + | 0.0109510i | \(0.00348589\pi\) | |||||||
\(98\) | 1.20504 | − | 1.03794i | 0.121727 | − | 0.104848i | ||||
\(99\) | − | 5.02241i | − | 0.504771i | ||||||
\(100\) | −9.86301 | + | 1.64956i | −0.986301 | + | 0.164956i | ||||
\(101\) | 1.46784i | 0.146056i | 0.997330 | + | 0.0730280i | \(0.0232662\pi\) | ||||
−0.997330 | + | 0.0730280i | \(0.976734\pi\) | |||||||
\(102\) | 0.687428 | + | 0.798096i | 0.0680655 | + | 0.0790233i | ||||
\(103\) | 8.41368 | − | 8.41368i | 0.829024 | − | 0.829024i | −0.158357 | − | 0.987382i | \(-0.550620\pi\) |
0.987382 | + | 0.158357i | \(0.0506198\pi\) | |||||||
\(104\) | −1.26968 | + | 5.59685i | −0.124503 | + | 0.548816i | ||||
\(105\) | −0.368325 | + | 0.507102i | −0.0359448 | + | 0.0494881i | ||||
\(106\) | 4.07171 | + | 0.303333i | 0.395479 | + | 0.0294623i | ||||
\(107\) | −9.42506 | + | 9.42506i | −0.911155 | + | 0.911155i | −0.996363 | − | 0.0852081i | \(-0.972844\pi\) |
0.0852081 | + | 0.996363i | \(0.472844\pi\) | |||||||
\(108\) | 0.823141 | + | 1.11327i | 0.0792068 | + | 0.107124i | ||||
\(109\) | 11.3511 | 1.08724 | 0.543618 | − | 0.839333i | \(-0.317054\pi\) | ||||
0.543618 | + | 0.839333i | \(0.317054\pi\) | |||||||
\(110\) | −0.440110 | − | 5.29954i | −0.0419628 | − | 0.505291i | ||||
\(111\) | − | 0.696410i | − | 0.0661003i | ||||||
\(112\) | 4.54556 | + | 8.56413i | 0.429515 | + | 0.809235i | ||||
\(113\) | 11.3207 | + | 11.3207i | 1.06497 | + | 1.06497i | 0.997738 | + | 0.0672281i | \(0.0214155\pi\) |
0.0672281 | + | 0.997738i | \(0.478584\pi\) | |||||||
\(114\) | 0.163081 | + | 0.0121492i | 0.0152739 | + | 0.00113787i | ||||
\(115\) | −0.910174 | + | 0.144286i | −0.0848742 | + | 0.0134547i | ||||
\(116\) | −0.147897 | + | 0.987119i | −0.0137319 | + | 0.0916517i | ||||
\(117\) | −4.28511 | − | 4.28511i | −0.396158 | − | 0.396158i | ||||
\(118\) | −5.83589 | + | 5.02665i | −0.537237 | + | 0.462741i | ||||
\(119\) | −15.6128 | −1.43122 | ||||||||
\(120\) | 0.481979 | + | 0.550051i | 0.0439985 | + | 0.0502126i | ||||
\(121\) | −8.17212 | −0.742920 | ||||||||
\(122\) | −7.01483 | + | 6.04212i | −0.635093 | + | 0.547027i | ||||
\(123\) | −0.425126 | − | 0.425126i | −0.0383323 | − | 0.0383323i | ||||
\(124\) | 4.07399 | + | 0.610393i | 0.365855 | + | 0.0548149i | ||||
\(125\) | 3.45053 | − | 10.6346i | 0.308625 | − | 0.951184i | ||||
\(126\) | −10.2097 | − | 0.760599i | −0.909553 | − | 0.0677596i | ||||
\(127\) | 7.06753 | + | 7.06753i | 0.627142 | + | 0.627142i | 0.947348 | − | 0.320206i | \(-0.103752\pi\) |
−0.320206 | + | 0.947348i | \(0.603752\pi\) | |||||||
\(128\) | 10.9191 | − | 2.96181i | 0.965125 | − | 0.261790i | ||||
\(129\) | 0.376853i | 0.0331800i | ||||||||
\(130\) | −4.89706 | − | 4.14606i | −0.429500 | − | 0.363633i | ||||
\(131\) | 9.57540 | 0.836607 | 0.418303 | − | 0.908307i | \(-0.362625\pi\) | ||||
0.418303 | + | 0.908307i | \(0.362625\pi\) | |||||||
\(132\) | −0.312714 | + | 0.231219i | −0.0272183 | + | 0.0201250i | ||||
\(133\) | −1.71397 | + | 1.71397i | −0.148620 | + | 0.148620i | ||||
\(134\) | 5.11398 | + | 0.380979i | 0.441780 | + | 0.0329116i | ||||
\(135\) | −1.52886 | + | 0.242363i | −0.131583 | + | 0.0208593i | ||||
\(136\) | −4.03052 | + | 17.7668i | −0.345614 | + | 1.52349i | ||||
\(137\) | 4.06617 | − | 4.06617i | 0.347397 | − | 0.347397i | −0.511742 | − | 0.859139i | \(-0.671000\pi\) |
0.859139 | + | 0.511742i | \(0.171000\pi\) | |||||||
\(138\) | 0.0439840 | + | 0.0510650i | 0.00374417 | + | 0.00434694i | ||||
\(139\) | 12.6520i | 1.07313i | 0.843860 | + | 0.536564i | \(0.180278\pi\) | ||||
−0.843860 | + | 0.536564i | \(0.819722\pi\) | |||||||
\(140\) | −10.8397 | + | 0.0921004i | −0.916124 | + | 0.00778391i | ||||
\(141\) | − | 1.40514i | − | 0.118334i | ||||||
\(142\) | −9.12464 | + | 7.85937i | −0.765723 | + | 0.659544i | ||||
\(143\) | 2.41274 | − | 2.41274i | 0.201764 | − | 0.201764i | ||||
\(144\) | −3.50122 | + | 11.4219i | −0.291768 | + | 0.951828i | ||||
\(145\) | −0.902913 | − | 0.655816i | −0.0749829 | − | 0.0544625i | ||||
\(146\) | 1.30353 | − | 17.4976i | 0.107881 | − | 1.44811i | ||||
\(147\) | 0.0919542 | − | 0.0919542i | 0.00758426 | − | 0.00758426i | ||||
\(148\) | 9.68504 | − | 7.16105i | 0.796106 | − | 0.588634i | ||||
\(149\) | −6.93839 | −0.568415 | −0.284207 | − | 0.958763i | \(-0.591730\pi\) | ||||
−0.284207 | + | 0.958763i | \(0.591730\pi\) | |||||||
\(150\) | −0.794215 | + | 0.194420i | −0.0648473 | + | 0.0158743i | ||||
\(151\) | − | 4.74419i | − | 0.386076i | −0.981191 | − | 0.193038i | \(-0.938166\pi\) | ||
0.981191 | − | 0.193038i | \(-0.0618341\pi\) | |||||||
\(152\) | 1.50797 | + | 2.39291i | 0.122313 | + | 0.194091i | ||||
\(153\) | −13.6028 | − | 13.6028i | −1.09972 | − | 1.09972i | ||||
\(154\) | 0.428258 | − | 5.74861i | 0.0345100 | − | 0.463236i | ||||
\(155\) | −2.70665 | + | 3.72646i | −0.217403 | + | 0.299316i | ||||
\(156\) | −0.0695320 | + | 0.464082i | −0.00556702 | + | 0.0371563i | ||||
\(157\) | −7.78145 | − | 7.78145i | −0.621027 | − | 0.621027i | 0.324767 | − | 0.945794i | \(-0.394714\pi\) |
−0.945794 | + | 0.324767i | \(0.894714\pi\) | |||||||
\(158\) | −0.657953 | − | 0.763876i | −0.0523439 | − | 0.0607707i | ||||
\(159\) | 0.333852 | 0.0264762 | ||||||||
\(160\) | −2.69352 | + | 12.3590i | −0.212942 | + | 0.977065i | ||||
\(161\) | −0.998960 | −0.0787291 | ||||||||
\(162\) | −8.19560 | − | 9.51500i | −0.643907 | − | 0.747569i | ||||
\(163\) | −4.91686 | − | 4.91686i | −0.385118 | − | 0.385118i | 0.487824 | − | 0.872942i | \(-0.337791\pi\) |
−0.872942 | + | 0.487824i | \(0.837791\pi\) | |||||||
\(164\) | 1.54078 | − | 10.2837i | 0.120315 | − | 0.803025i | ||||
\(165\) | −0.0680793 | − | 0.429454i | −0.00529996 | − | 0.0334329i | ||||
\(166\) | −1.84407 | + | 24.7533i | −0.143127 | + | 1.92123i | ||||
\(167\) | 14.3698 | + | 14.3698i | 1.11197 | + | 1.11197i | 0.992884 | + | 0.119088i | \(0.0379970\pi\) |
0.119088 | + | 0.992884i | \(0.462003\pi\) | |||||||
\(168\) | 0.422671 | + | 0.670712i | 0.0326097 | + | 0.0517465i | ||||
\(169\) | 8.88290i | 0.683300i | ||||||||
\(170\) | −15.5454 | − | 13.1614i | −1.19228 | − | 1.00943i | ||||
\(171\) | −2.98663 | −0.228393 | ||||||||
\(172\) | −5.24093 | + | 3.87510i | −0.399617 | + | 0.295474i | ||||
\(173\) | 1.79071 | − | 1.79071i | 0.136145 | − | 0.136145i | −0.635750 | − | 0.771895i | \(-0.719309\pi\) |
0.771895 | + | 0.635750i | \(0.219309\pi\) | |||||||
\(174\) | −0.00606326 | + | 0.0813886i | −0.000459655 | + | 0.00617005i | ||||
\(175\) | 5.49922 | − | 10.8002i | 0.415702 | − | 0.816416i | ||||
\(176\) | −6.43116 | − | 1.97137i | −0.484767 | − | 0.148598i | ||||
\(177\) | −0.445326 | + | 0.445326i | −0.0334728 | + | 0.0334728i | ||||
\(178\) | 12.0380 | − | 10.3688i | 0.902288 | − | 0.777172i | ||||
\(179\) | 10.4499i | 0.781061i | 0.920590 | + | 0.390530i | \(0.127708\pi\) | ||||
−0.920590 | + | 0.390530i | \(0.872292\pi\) | |||||||
\(180\) | −9.52445 | − | 9.36396i | −0.709911 | − | 0.697949i | ||||
\(181\) | 18.8451i | 1.40074i | 0.713778 | + | 0.700372i | \(0.246983\pi\) | ||||
−0.713778 | + | 0.700372i | \(0.753017\pi\) | |||||||
\(182\) | −4.53931 | − | 5.27009i | −0.336476 | − | 0.390645i | ||||
\(183\) | −0.535289 | + | 0.535289i | −0.0395697 | + | 0.0395697i | ||||
\(184\) | −0.257886 | + | 1.13678i | −0.0190116 | + | 0.0838046i | ||||
\(185\) | 2.10848 | + | 13.3006i | 0.155018 | + | 0.977877i | ||||
\(186\) | 0.335903 | + | 0.0250240i | 0.0246296 | + | 0.00183485i | ||||
\(187\) | 7.65909 | − | 7.65909i | 0.560088 | − | 0.560088i | ||||
\(188\) | 19.5414 | − | 14.4488i | 1.42521 | − | 1.05379i | ||||
\(189\) | −1.67800 | −0.122056 | ||||||||
\(190\) | −3.15143 | + | 0.261716i | −0.228629 | + | 0.0189869i | ||||
\(191\) | 20.8497i | 1.50863i | 0.656512 | + | 0.754316i | \(0.272031\pi\) | ||||
−0.656512 | + | 0.754316i | \(0.727969\pi\) | |||||||
\(192\) | 0.872361 | − | 0.307837i | 0.0629572 | − | 0.0222162i | ||||
\(193\) | −15.9285 | − | 15.9285i | −1.14656 | − | 1.14656i | −0.987225 | − | 0.159334i | \(-0.949065\pi\) |
−0.159334 | − | 0.987225i | \(-0.550935\pi\) | |||||||
\(194\) | 19.4270 | + | 1.44727i | 1.39478 | + | 0.103908i | ||||
\(195\) | −0.424494 | − | 0.308324i | −0.0303987 | − | 0.0220795i | ||||
\(196\) | 2.22436 | + | 0.333269i | 0.158883 | + | 0.0238050i | ||||
\(197\) | −2.47527 | − | 2.47527i | −0.176356 | − | 0.176356i | 0.613409 | − | 0.789765i | \(-0.289798\pi\) |
−0.789765 | + | 0.613409i | \(0.789798\pi\) | |||||||
\(198\) | 5.38165 | − | 4.63540i | 0.382457 | − | 0.329424i | ||||
\(199\) | 14.9416 | 1.05918 | 0.529591 | − | 0.848253i | \(-0.322345\pi\) | ||||
0.529591 | + | 0.848253i | \(0.322345\pi\) | |||||||
\(200\) | −10.8706 | − | 9.04604i | −0.768665 | − | 0.639652i | ||||
\(201\) | 0.419311 | 0.0295759 | ||||||||
\(202\) | −1.57284 | + | 1.35474i | −0.110664 | + | 0.0953191i | ||||
\(203\) | −0.855390 | − | 0.855390i | −0.0600366 | − | 0.0600366i | ||||
\(204\) | −0.220725 | + | 1.47320i | −0.0154538 | + | 0.103144i | ||||
\(205\) | 9.40650 | + | 6.83225i | 0.656978 | + | 0.477185i | ||||
\(206\) | 16.7809 | + | 1.25013i | 1.16918 | + | 0.0871010i | ||||
\(207\) | −0.870353 | − | 0.870353i | −0.0604937 | − | 0.0604937i | ||||
\(208\) | −7.16902 | + | 3.80508i | −0.497082 | + | 0.263835i | ||||
\(209\) | − | 1.68163i | − | 0.116321i | ||||||
\(210\) | −0.883317 | + | 0.0733567i | −0.0609547 | + | 0.00506209i | ||||
\(211\) | −2.53428 | −0.174467 | −0.0872337 | − | 0.996188i | \(-0.527803\pi\) | ||||
−0.0872337 | + | 0.996188i | \(0.527803\pi\) | |||||||
\(212\) | 3.43293 | + | 4.64291i | 0.235775 | + | 0.318876i | ||||
\(213\) | −0.696286 | + | 0.696286i | −0.0477087 | + | 0.0477087i | ||||
\(214\) | −18.7980 | − | 1.40041i | −1.28501 | − | 0.0957300i | ||||
\(215\) | −1.14097 | − | 7.19742i | −0.0778137 | − | 0.490860i | ||||
\(216\) | −0.433184 | + | 1.90950i | −0.0294744 | + | 0.129925i | ||||
\(217\) | −3.53032 | + | 3.53032i | −0.239654 | + | 0.239654i | ||||
\(218\) | 10.4764 | + | 12.1630i | 0.709553 | + | 0.823783i | ||||
\(219\) | − | 1.43469i | − | 0.0969470i | ||||||
\(220\) | 5.27241 | − | 5.36277i | 0.355466 | − | 0.361558i | ||||
\(221\) | − | 13.0694i | − | 0.879145i | ||||||
\(222\) | 0.746223 | − | 0.642748i | 0.0500832 | − | 0.0431384i | ||||
\(223\) | 16.3266 | − | 16.3266i | 1.09331 | − | 1.09331i | 0.0981371 | − | 0.995173i | \(-0.468712\pi\) |
0.995173 | − | 0.0981371i | \(-0.0312884\pi\) | |||||||
\(224\) | −4.98141 | + | 12.7749i | −0.332835 | + | 0.853560i | ||||
\(225\) | 14.2010 | − | 4.61850i | 0.946733 | − | 0.307900i | ||||
\(226\) | −1.68208 | + | 22.5789i | −0.111890 | + | 1.50193i | ||||
\(227\) | −6.11132 | + | 6.11132i | −0.405623 | + | 0.405623i | −0.880209 | − | 0.474586i | \(-0.842598\pi\) |
0.474586 | + | 0.880209i | \(0.342598\pi\) | |||||||
\(228\) | 0.137497 | + | 0.185959i | 0.00910594 | + | 0.0123154i | ||||
\(229\) | 9.79993 | 0.647597 | 0.323799 | − | 0.946126i | \(-0.395040\pi\) | ||||
0.323799 | + | 0.946126i | \(0.395040\pi\) | |||||||
\(230\) | −0.994647 | − | 0.842110i | −0.0655851 | − | 0.0555271i | ||||
\(231\) | − | 0.471346i | − | 0.0310123i | ||||||
\(232\) | −1.19423 | + | 0.752581i | −0.0784048 | + | 0.0494093i | ||||
\(233\) | −8.84565 | − | 8.84565i | −0.579498 | − | 0.579498i | 0.355267 | − | 0.934765i | \(-0.384390\pi\) |
−0.934765 | + | 0.355267i | \(0.884390\pi\) | |||||||
\(234\) | 0.636697 | − | 8.54653i | 0.0416222 | − | 0.558704i | ||||
\(235\) | 4.25425 | + | 26.8364i | 0.277517 | + | 1.75062i | ||||
\(236\) | −10.7724 | − | 1.61400i | −0.701224 | − | 0.105062i | ||||
\(237\) | −0.0582901 | − | 0.0582901i | −0.00378635 | − | 0.00378635i | ||||
\(238\) | −14.4097 | − | 16.7295i | −0.934044 | − | 1.08441i | ||||
\(239\) | −14.0518 | −0.908938 | −0.454469 | − | 0.890762i | \(-0.650171\pi\) | ||||
−0.454469 | + | 0.890762i | \(0.650171\pi\) | |||||||
\(240\) | −0.144555 | + | 1.02412i | −0.00933101 | + | 0.0661068i | ||||
\(241\) | −5.93439 | −0.382268 | −0.191134 | − | 0.981564i | \(-0.561216\pi\) | ||||
−0.191134 | + | 0.981564i | \(0.561216\pi\) | |||||||
\(242\) | −7.54241 | − | 8.75666i | −0.484845 | − | 0.562899i | ||||
\(243\) | −2.19459 | − | 2.19459i | −0.140783 | − | 0.140783i | ||||
\(244\) | −12.9486 | − | 1.94005i | −0.828949 | − | 0.124199i | ||||
\(245\) | −1.47781 | + | 2.03462i | −0.0944137 | + | 0.129987i | ||||
\(246\) | 0.0631667 | − | 0.847901i | 0.00402736 | − | 0.0540602i | ||||
\(247\) | −1.43476 | − | 1.43476i | −0.0912918 | − | 0.0912918i | ||||
\(248\) | 3.10601 | + | 4.92875i | 0.197232 | + | 0.312976i | ||||
\(249\) | 2.02960i | 0.128621i | ||||||||
\(250\) | 14.5799 | − | 6.11776i | 0.922113 | − | 0.386921i | ||||
\(251\) | −14.3718 | −0.907143 | −0.453572 | − | 0.891220i | \(-0.649850\pi\) | ||||
−0.453572 | + | 0.891220i | \(0.649850\pi\) | |||||||
\(252\) | −8.60799 | − | 11.6420i | −0.542253 | − | 0.733376i | ||||
\(253\) | 0.490055 | − | 0.490055i | 0.0308095 | − | 0.0308095i | ||||
\(254\) | −1.05012 | + | 14.0960i | −0.0658903 | + | 0.884462i | ||||
\(255\) | −1.34753 | − | 0.978753i | −0.0843854 | − | 0.0612919i | ||||
\(256\) | 13.2514 | + | 8.96658i | 0.828214 | + | 0.560411i | ||||
\(257\) | 0.519722 | − | 0.519722i | 0.0324193 | − | 0.0324193i | −0.690711 | − | 0.723131i | \(-0.742702\pi\) |
0.723131 | + | 0.690711i | \(0.242702\pi\) | |||||||
\(258\) | −0.403808 | + | 0.347814i | −0.0251400 | + | 0.0216540i | ||||
\(259\) | 14.5980i | 0.907076i | ||||||||
\(260\) | −0.0770971 | − | 9.07392i | −0.00478136 | − | 0.562740i | ||||
\(261\) | − | 1.49053i | − | 0.0922616i | ||||||
\(262\) | 8.83757 | + | 10.2603i | 0.545987 | + | 0.633884i | ||||
\(263\) | 7.30132 | − | 7.30132i | 0.450219 | − | 0.450219i | −0.445208 | − | 0.895427i | \(-0.646870\pi\) |
0.895427 | + | 0.445208i | \(0.146870\pi\) | |||||||
\(264\) | −0.536375 | − | 0.121680i | −0.0330116 | − | 0.00748891i | ||||
\(265\) | −6.37616 | + | 1.01078i | −0.391684 | + | 0.0620918i | ||||
\(266\) | −3.41847 | − | 0.254668i | −0.209600 | − | 0.0156147i | ||||
\(267\) | 0.918601 | − | 0.918601i | 0.0562175 | − | 0.0562175i | ||||
\(268\) | 4.31169 | + | 5.83140i | 0.263378 | + | 0.356209i | ||||
\(269\) | 31.3080 | 1.90888 | 0.954441 | − | 0.298399i | \(-0.0964525\pi\) | ||||
0.954441 | + | 0.298399i | \(0.0964525\pi\) | |||||||
\(270\) | −1.67075 | − | 1.41453i | −0.101679 | − | 0.0860856i | ||||
\(271\) | 5.69225i | 0.345779i | 0.984941 | + | 0.172890i | \(0.0553104\pi\) | ||||
−0.984941 | + | 0.172890i | \(0.944690\pi\) | |||||||
\(272\) | −22.7576 | + | 12.0790i | −1.37988 | + | 0.732395i | ||||
\(273\) | −0.402151 | − | 0.402151i | −0.0243393 | − | 0.0243393i | ||||
\(274\) | 8.10987 | + | 0.604167i | 0.489935 | + | 0.0364990i | ||||
\(275\) | 2.60046 | + | 7.99592i | 0.156814 | + | 0.482172i | ||||
\(276\) | −0.0141227 | + | 0.0942603i | −0.000850088 | + | 0.00567380i | ||||
\(277\) | −2.91549 | − | 2.91549i | −0.175175 | − | 0.175175i | 0.614074 | − | 0.789249i | \(-0.289530\pi\) |
−0.789249 | + | 0.614074i | \(0.789530\pi\) | |||||||
\(278\) | −13.5570 | + | 11.6771i | −0.813092 | + | 0.700345i | ||||
\(279\) | −6.15165 | −0.368289 | ||||||||
\(280\) | −10.1032 | − | 11.5301i | −0.603779 | − | 0.689053i | ||||
\(281\) | 4.42798 | 0.264151 | 0.132076 | − | 0.991240i | \(-0.457836\pi\) | ||||
0.132076 | + | 0.991240i | \(0.457836\pi\) | |||||||
\(282\) | 1.50565 | − | 1.29687i | 0.0896600 | − | 0.0772273i | ||||
\(283\) | −13.5718 | − | 13.5718i | −0.806757 | − | 0.806757i | 0.177385 | − | 0.984142i | \(-0.443236\pi\) |
−0.984142 | + | 0.177385i | \(0.943236\pi\) | |||||||
\(284\) | −16.8431 | − | 2.52355i | −0.999453 | − | 0.149745i | ||||
\(285\) | −0.255379 | + | 0.0404841i | −0.0151274 | + | 0.00239807i | ||||
\(286\) | 4.81215 | + | 0.358494i | 0.284549 | + | 0.0211982i | ||||
\(287\) | 8.91140 | + | 8.91140i | 0.526023 | + | 0.526023i | ||||
\(288\) | −15.4704 | + | 6.79016i | −0.911600 | + | 0.400114i | ||||
\(289\) | − | 24.4880i | − | 1.44047i | ||||||
\(290\) | −0.130614 | − | 1.57278i | −0.00766993 | − | 0.0923568i | ||||
\(291\) | 1.59288 | 0.0933762 | ||||||||
\(292\) | 19.9523 | − | 14.7526i | 1.16762 | − | 0.863330i | ||||
\(293\) | −19.6405 | + | 19.6405i | −1.14741 | + | 1.14741i | −0.160349 | + | 0.987060i | \(0.551262\pi\) |
−0.987060 | + | 0.160349i | \(0.948738\pi\) | |||||||
\(294\) | 0.183400 | + | 0.0136629i | 0.0106961 | + | 0.000796836i | ||||
\(295\) | 7.15690 | − | 9.85347i | 0.416691 | − | 0.573691i | ||||
\(296\) | 16.6120 | + | 3.76855i | 0.965554 | + | 0.219042i | ||||
\(297\) | 0.823168 | − | 0.823168i | 0.0477650 | − | 0.0477650i | ||||
\(298\) | −6.40375 | − | 7.43468i | −0.370959 | − | 0.430679i | ||||
\(299\) | − | 0.836228i | − | 0.0483603i | ||||||
\(300\) | −0.941342 | − | 0.671585i | −0.0543484 | − | 0.0387740i | ||||
\(301\) | − | 7.89951i | − | 0.455320i | ||||||
\(302\) | 5.08353 | − | 4.37862i | 0.292524 | − | 0.251961i | ||||
\(303\) | −0.120020 | + | 0.120020i | −0.00689500 | + | 0.00689500i | ||||
\(304\) | −1.17230 | + | 3.82436i | −0.0672360 | + | 0.219342i | ||||
\(305\) | 8.60270 | − | 11.8440i | 0.492589 | − | 0.678187i | ||||
\(306\) | 2.02115 | − | 27.1304i | 0.115541 | − | 1.55094i | ||||
\(307\) | 24.5418 | − | 24.5418i | 1.40068 | − | 1.40068i | 0.602731 | − | 0.797944i | \(-0.294079\pi\) |
0.797944 | − | 0.602731i | \(-0.205921\pi\) | |||||||
\(308\) | 6.55506 | − | 4.84676i | 0.373509 | − | 0.276170i | ||||
\(309\) | 1.37591 | 0.0782730 | ||||||||
\(310\) | −6.49109 | + | 0.539064i | −0.368669 | + | 0.0306168i | ||||
\(311\) | 21.7682i | 1.23436i | 0.786821 | + | 0.617181i | \(0.211725\pi\) | ||||
−0.786821 | + | 0.617181i | \(0.788275\pi\) | |||||||
\(312\) | −0.561452 | + | 0.353817i | −0.0317859 | + | 0.0200309i | ||||
\(313\) | −14.2831 | − | 14.2831i | −0.807326 | − | 0.807326i | 0.176902 | − | 0.984228i | \(-0.443392\pi\) |
−0.984228 | + | 0.176902i | \(0.943392\pi\) | |||||||
\(314\) | 1.15620 | − | 15.5199i | 0.0652479 | − | 0.875838i | ||||
\(315\) | 15.9881 | − | 2.53451i | 0.900825 | − | 0.142803i | ||||
\(316\) | 0.211261 | − | 1.41003i | 0.0118843 | − | 0.0793204i | ||||
\(317\) | 14.6113 | + | 14.6113i | 0.820651 | + | 0.820651i | 0.986201 | − | 0.165550i | \(-0.0529400\pi\) |
−0.165550 | + | 0.986201i | \(0.552940\pi\) | |||||||
\(318\) | 0.308127 | + | 0.357732i | 0.0172789 | + | 0.0200606i | ||||
\(319\) | 0.839249 | 0.0469889 | ||||||||
\(320\) | −15.7290 | + | 8.52049i | −0.879277 | + | 0.476310i | ||||
\(321\) | −1.54131 | −0.0860274 | ||||||||
\(322\) | −0.921985 | − | 1.07041i | −0.0513802 | − | 0.0596518i | ||||
\(323\) | −4.55456 | − | 4.55456i | −0.253422 | − | 0.253422i | ||||
\(324\) | 2.63150 | − | 17.5636i | 0.146195 | − | 0.975757i | ||||
\(325\) | 9.04081 | + | 4.60339i | 0.501494 | + | 0.255350i | ||||
\(326\) | 0.730564 | − | 9.80654i | 0.0404622 | − | 0.543134i | ||||
\(327\) | 0.928138 | + | 0.928138i | 0.0513261 | + | 0.0513261i | ||||
\(328\) | 12.4414 | − | 7.84034i | 0.686960 | − | 0.432910i | ||||
\(329\) | 29.4543i | 1.62387i | ||||||||
\(330\) | 0.397339 | − | 0.469311i | 0.0218728 | − | 0.0258347i | ||||
\(331\) | 14.0460 | 0.772037 | 0.386019 | − | 0.922491i | \(-0.373850\pi\) | ||||
0.386019 | + | 0.922491i | \(0.373850\pi\) | |||||||
\(332\) | −28.2259 | + | 20.8700i | −1.54910 | + | 1.14539i | ||||
\(333\) | −12.7186 | + | 12.7186i | −0.696978 | + | 0.696978i | ||||
\(334\) | −2.13512 | + | 28.6603i | −0.116829 | + | 1.56822i | ||||
\(335\) | −8.00832 | + | 1.26952i | −0.437541 | + | 0.0693613i | ||||
\(336\) | −0.328585 | + | 1.07193i | −0.0179258 | + | 0.0584788i | ||||
\(337\) | 7.29058 | − | 7.29058i | 0.397143 | − | 0.397143i | −0.480081 | − | 0.877224i | \(-0.659393\pi\) |
0.877224 | + | 0.480081i | \(0.159393\pi\) | |||||||
\(338\) | −9.51828 | + | 8.19843i | −0.517726 | + | 0.445936i | ||||
\(339\) | 1.85131i | 0.100550i | ||||||||
\(340\) | −0.244739 | − | 28.8045i | −0.0132729 | − | 1.56214i | ||||
\(341\) | − | 3.46370i | − | 0.187570i | ||||||
\(342\) | −2.75649 | − | 3.20026i | −0.149054 | − | 0.173050i | ||||
\(343\) | −13.9253 | + | 13.9253i | −0.751897 | + | 0.751897i | ||||
\(344\) | −8.98937 | − | 2.03930i | −0.484674 | − | 0.109952i | ||||
\(345\) | −0.0862195 | − | 0.0626240i | −0.00464190 | − | 0.00337156i | ||||
\(346\) | 3.57152 | + | 0.266070i | 0.192006 | + | 0.0143040i | ||||
\(347\) | 10.3952 | − | 10.3952i | 0.558042 | − | 0.558042i | −0.370708 | − | 0.928749i | \(-0.620885\pi\) |
0.928749 | + | 0.370708i | \(0.120885\pi\) | |||||||
\(348\) | −0.0928063 | + | 0.0686202i | −0.00497494 | + | 0.00367843i | ||||
\(349\) | 27.2478 | 1.45854 | 0.729269 | − | 0.684227i | \(-0.239860\pi\) | ||||
0.729269 | + | 0.684227i | \(0.239860\pi\) | |||||||
\(350\) | 16.6482 | − | 4.07538i | 0.889882 | − | 0.217838i | ||||
\(351\) | − | 1.40465i | − | 0.0749747i | ||||||
\(352\) | −3.82322 | − | 8.71064i | −0.203778 | − | 0.464279i | ||||
\(353\) | 14.4723 | + | 14.4723i | 0.770280 | + | 0.770280i | 0.978155 | − | 0.207875i | \(-0.0666548\pi\) |
−0.207875 | + | 0.978155i | \(0.566655\pi\) | |||||||
\(354\) | −0.888192 | − | 0.0661682i | −0.0472069 | − | 0.00351680i | ||||
\(355\) | 11.1901 | − | 15.4063i | 0.593908 | − | 0.817681i | ||||
\(356\) | 22.2209 | + | 3.32928i | 1.17770 | + | 0.176452i | ||||
\(357\) | −1.27660 | − | 1.27660i | −0.0675649 | − | 0.0675649i | ||||
\(358\) | −11.1973 | + | 9.64466i | −0.591798 | + | 0.509736i | ||||
\(359\) | 0.139983 | 0.00738804 | 0.00369402 | − | 0.999993i | \(-0.498824\pi\) | ||||
0.00369402 | + | 0.999993i | \(0.498824\pi\) | |||||||
\(360\) | 1.24321 | − | 18.8481i | 0.0655230 | − | 0.993384i | ||||
\(361\) | −1.00000 | −0.0526316 | ||||||||
\(362\) | −20.1931 | + | 17.3930i | −1.06132 | + | 0.914155i | ||||
\(363\) | −0.668205 | − | 0.668205i | −0.0350717 | − | 0.0350717i | ||||
\(364\) | 1.45752 | − | 9.72800i | 0.0763946 | − | 0.509886i | ||||
\(365\) | 4.34370 | + | 27.4007i | 0.227360 | + | 1.43422i | ||||
\(366\) | −1.06762 | − | 0.0795352i | −0.0558054 | − | 0.00415737i | ||||
\(367\) | 6.97245 | + | 6.97245i | 0.363959 | + | 0.363959i | 0.865268 | − | 0.501309i | \(-0.167148\pi\) |
−0.501309 | + | 0.865268i | \(0.667148\pi\) | |||||||
\(368\) | −1.45611 | + | 0.772854i | −0.0759049 | + | 0.0402878i | ||||
\(369\) | 15.5283i | 0.808369i | ||||||||
\(370\) | −12.3059 | + | 14.5350i | −0.639755 | + | 0.755638i | ||||
\(371\) | −6.99814 | −0.363325 | ||||||||
\(372\) | 0.283206 | + | 0.383025i | 0.0146835 | + | 0.0198589i | ||||
\(373\) | 9.67996 | − | 9.67996i | 0.501209 | − | 0.501209i | −0.410604 | − | 0.911814i | \(-0.634682\pi\) |
0.911814 | + | 0.410604i | \(0.134682\pi\) | |||||||
\(374\) | 15.2758 | + | 1.13801i | 0.789895 | + | 0.0588453i | ||||
\(375\) | 1.15169 | − | 0.587412i | 0.0594729 | − | 0.0303338i | ||||
\(376\) | 33.5179 | + | 7.60377i | 1.72856 | + | 0.392134i | ||||
\(377\) | 0.716045 | − | 0.716045i | 0.0368782 | − | 0.0368782i | ||||
\(378\) | −1.54870 | − | 1.79802i | −0.0796565 | − | 0.0924803i | ||||
\(379\) | − | 8.50054i | − | 0.436643i | −0.975877 | − | 0.218322i | \(-0.929942\pi\) | ||
0.975877 | − | 0.218322i | \(-0.0700582\pi\) | |||||||
\(380\) | −3.18903 | − | 3.13530i | −0.163594 | − | 0.160837i | ||||
\(381\) | 1.15577i | 0.0592121i | ||||||||
\(382\) | −22.3410 | + | 19.2431i | −1.14307 | + | 0.984564i | ||||
\(383\) | 8.55363 | − | 8.55363i | 0.437070 | − | 0.437070i | −0.453955 | − | 0.891025i | \(-0.649987\pi\) |
0.891025 | + | 0.453955i | \(0.149987\pi\) | |||||||
\(384\) | 1.13500 | + | 0.650643i | 0.0579201 | + | 0.0332030i | ||||
\(385\) | 1.42706 | + | 9.00213i | 0.0727299 | + | 0.458791i | ||||
\(386\) | 2.36671 | − | 31.7690i | 0.120463 | − | 1.61700i | ||||
\(387\) | 6.88252 | − | 6.88252i | 0.349858 | − | 0.349858i | ||||
\(388\) | 16.3793 | + | 22.1523i | 0.831531 | + | 1.12461i | ||||
\(389\) | 11.0464 | 0.560072 | 0.280036 | − | 0.959989i | \(-0.409654\pi\) | ||||
0.280036 | + | 0.959989i | \(0.409654\pi\) | |||||||
\(390\) | −0.0614068 | − | 0.739424i | −0.00310945 | − | 0.0374422i | ||||
\(391\) | − | 2.65455i | − | 0.134246i | ||||||
\(392\) | 1.69586 | + | 2.69106i | 0.0856537 | + | 0.135919i | ||||
\(393\) | 0.782947 | + | 0.782947i | 0.0394945 | + | 0.0394945i | ||||
\(394\) | 0.367785 | − | 4.93686i | 0.0185287 | − | 0.248715i | ||||
\(395\) | 1.28975 | + | 0.936787i | 0.0648943 | + | 0.0471349i | ||||
\(396\) | 9.93393 | + | 1.48837i | 0.499199 | + | 0.0747934i | ||||
\(397\) | 5.91962 | + | 5.91962i | 0.297097 | + | 0.297097i | 0.839876 | − | 0.542779i | \(-0.182628\pi\) |
−0.542779 | + | 0.839876i | \(0.682628\pi\) | |||||||
\(398\) | 13.7903 | + | 16.0103i | 0.691244 | + | 0.802526i | ||||
\(399\) | −0.280291 | −0.0140321 | ||||||||
\(400\) | −0.339838 | − | 19.9971i | −0.0169919 | − | 0.999856i | ||||
\(401\) | 12.0790 | 0.603197 | 0.301599 | − | 0.953435i | \(-0.402480\pi\) | ||||
0.301599 | + | 0.953435i | \(0.402480\pi\) | |||||||
\(402\) | 0.387001 | + | 0.449303i | 0.0193018 | + | 0.0224092i | ||||
\(403\) | −2.95523 | − | 2.95523i | −0.147210 | − | 0.147210i | ||||
\(404\) | −2.90328 | − | 0.434990i | −0.144444 | − | 0.0216415i | ||||
\(405\) | 16.0654 | + | 11.6688i | 0.798295 | + | 0.579828i | ||||
\(406\) | 0.127097 | − | 1.70605i | 0.00630771 | − | 0.0846699i | ||||
\(407\) | −7.16128 | − | 7.16128i | −0.354971 | − | 0.354971i | ||||
\(408\) | −1.78229 | + | 1.12317i | −0.0882365 | + | 0.0556051i | ||||
\(409\) | − | 4.33801i | − | 0.214501i | −0.994232 | − | 0.107250i | \(-0.965795\pi\) | ||
0.994232 | − | 0.107250i | \(-0.0342047\pi\) | |||||||
\(410\) | 1.36073 | + | 16.3851i | 0.0672017 | + | 0.809203i | ||||
\(411\) | 0.664953 | 0.0327997 | ||||||||
\(412\) | 14.1482 | + | 19.1350i | 0.697034 | + | 0.942712i | ||||
\(413\) | 9.33484 | − | 9.33484i | 0.459338 | − | 0.459338i | ||||
\(414\) | 0.129320 | − | 1.73590i | 0.00635574 | − | 0.0853146i | ||||
\(415\) | −6.14489 | − | 38.7629i | −0.301641 | − | 1.90279i | ||||
\(416\) | −10.6939 | − | 4.16993i | −0.524310 | − | 0.204448i | ||||
\(417\) | −1.03451 | + | 1.03451i | −0.0506601 | + | 0.0506601i | ||||
\(418\) | 1.80192 | − | 1.55205i | 0.0881346 | − | 0.0759134i | ||||
\(419\) | 10.9004i | 0.532519i | 0.963901 | + | 0.266260i | \(0.0857879\pi\) | ||||
−0.963901 | + | 0.266260i | \(0.914212\pi\) | |||||||
\(420\) | −0.893857 | − | 0.878795i | −0.0436157 | − | 0.0428808i | ||||
\(421\) | − | 27.0805i | − | 1.31982i | −0.751343 | − | 0.659912i | \(-0.770594\pi\) | ||
0.751343 | − | 0.659912i | \(-0.229406\pi\) | |||||||
\(422\) | −2.33900 | − | 2.71556i | −0.113861 | − | 0.132191i | ||||
\(423\) | −25.6623 | + | 25.6623i | −1.24774 | + | 1.24774i | ||||
\(424\) | −1.80660 | + | 7.96364i | −0.0877364 | + | 0.386748i | ||||
\(425\) | 28.6994 | + | 14.6132i | 1.39213 | + | 0.708842i | ||||
\(426\) | −1.38872 | − | 0.103457i | −0.0672838 | − | 0.00501249i | ||||
\(427\) | 11.2206 | − | 11.2206i | 0.543004 | − | 0.543004i | ||||
\(428\) | −15.8490 | − | 21.4351i | −0.766089 | − | 1.03611i | ||||
\(429\) | 0.394563 | 0.0190497 | ||||||||
\(430\) | 6.65919 | − | 7.86541i | 0.321134 | − | 0.379304i | ||||
\(431\) | 23.8909i | 1.15078i | 0.817878 | + | 0.575392i | \(0.195151\pi\) | ||||
−0.817878 | + | 0.575392i | \(0.804849\pi\) | |||||||
\(432\) | −2.44589 | + | 1.29820i | −0.117678 | + | 0.0624596i | ||||
\(433\) | 23.7413 | + | 23.7413i | 1.14093 | + | 1.14093i | 0.988280 | + | 0.152653i | \(0.0487818\pi\) |
0.152653 | + | 0.988280i | \(0.451218\pi\) | |||||||
\(434\) | −7.04113 | − | 0.524548i | −0.337985 | − | 0.0251791i | ||||
\(435\) | −0.0202043 | − | 0.127452i | −0.000968723 | − | 0.00611085i | ||||
\(436\) | −3.36385 | + | 22.4516i | −0.161099 | + | 1.07523i | ||||
\(437\) | −0.291416 | − | 0.291416i | −0.0139403 | − | 0.0139403i | ||||
\(438\) | 1.53731 | − | 1.32414i | 0.0734553 | − | 0.0632696i | ||||
\(439\) | −15.6214 | −0.745570 | −0.372785 | − | 0.927918i | \(-0.621597\pi\) | ||||
−0.372785 | + | 0.927918i | \(0.621597\pi\) | |||||||
\(440\) | 10.6125 | + | 0.699994i | 0.505931 | + | 0.0333709i | ||||
\(441\) | −3.35875 | −0.159940 | ||||||||
\(442\) | 14.0043 | − | 12.0624i | 0.666115 | − | 0.573748i | ||||
\(443\) | 6.06453 | + | 6.06453i | 0.288135 | + | 0.288135i | 0.836342 | − | 0.548208i | \(-0.184690\pi\) |
−0.548208 | + | 0.836342i | \(0.684690\pi\) | |||||||
\(444\) | 1.37745 | + | 0.206378i | 0.0653707 | + | 0.00979428i | ||||
\(445\) | −14.7630 | + | 20.3253i | −0.699831 | + | 0.963513i | ||||
\(446\) | 32.5630 | + | 2.42586i | 1.54190 | + | 0.114868i | ||||
\(447\) | −0.567327 | − | 0.567327i | −0.0268337 | − | 0.0268337i | ||||
\(448\) | −18.2863 | + | 6.45281i | −0.863944 | + | 0.304867i | ||||
\(449\) | − | 6.33217i | − | 0.298833i | −0.988774 | − | 0.149417i | \(-0.952260\pi\) | ||
0.988774 | − | 0.149417i | \(-0.0477396\pi\) | |||||||
\(450\) | 18.0556 | + | 10.9542i | 0.851148 | + | 0.516384i | ||||
\(451\) | −8.74324 | −0.411703 | ||||||||
\(452\) | −25.7464 | + | 19.0367i | −1.21101 | + | 0.895411i | ||||
\(453\) | 0.387915 | − | 0.387915i | 0.0182259 | − | 0.0182259i | ||||
\(454\) | −12.1889 | − | 0.908042i | −0.572052 | − | 0.0426165i | ||||
\(455\) | 8.89816 | + | 6.46303i | 0.417152 | + | 0.302991i | ||||
\(456\) | −0.0723585 | + | 0.318961i | −0.00338850 | + | 0.0149367i | ||||
\(457\) | 6.32435 | − | 6.32435i | 0.295840 | − | 0.295840i | −0.543542 | − | 0.839382i | \(-0.682917\pi\) |
0.839382 | + | 0.543542i | \(0.182917\pi\) | |||||||
\(458\) | 9.04479 | + | 10.5009i | 0.422635 | + | 0.490675i | ||||
\(459\) | − | 4.45896i | − | 0.208127i | ||||||
\(460\) | −0.0156593 | − | 1.84301i | −0.000730118 | − | 0.0859309i | ||||
\(461\) | − | 23.1523i | − | 1.07831i | −0.842207 | − | 0.539154i | \(-0.818744\pi\) | ||
0.842207 | − | 0.539154i | \(-0.181256\pi\) | |||||||
\(462\) | 0.505061 | − | 0.435026i | 0.0234975 | − | 0.0202393i | ||||
\(463\) | 19.9330 | − | 19.9330i | 0.926363 | − | 0.926363i | −0.0711059 | − | 0.997469i | \(-0.522653\pi\) |
0.997469 | + | 0.0711059i | \(0.0226528\pi\) | |||||||
\(464\) | −1.90862 | − | 0.585057i | −0.0886053 | − | 0.0271606i | ||||
\(465\) | −0.526012 | + | 0.0833862i | −0.0243932 | + | 0.00386694i | ||||
\(466\) | 1.31432 | − | 17.6424i | 0.0608846 | − | 0.817269i | ||||
\(467\) | −11.5957 | + | 11.5957i | −0.536585 | + | 0.536585i | −0.922524 | − | 0.385939i | \(-0.873878\pi\) |
0.385939 | + | 0.922524i | \(0.373878\pi\) | |||||||
\(468\) | 9.74549 | − | 7.20574i | 0.450485 | − | 0.333085i | ||||
\(469\) | −8.78951 | −0.405862 | ||||||||
\(470\) | −24.8296 | + | 29.3271i | −1.14530 | + | 1.35276i | ||||
\(471\) | − | 1.27252i | − | 0.0586348i | ||||||
\(472\) | −8.21289 | − | 13.0326i | −0.378029 | − | 0.599872i | ||||
\(473\) | 3.87523 | + | 3.87523i | 0.178183 | + | 0.178183i | ||||
\(474\) | 0.00866095 | − | 0.116258i | 0.000397811 | − | 0.00533991i | ||||
\(475\) | 4.75486 | − | 1.54639i | 0.218168 | − | 0.0709533i | ||||
\(476\) | 4.62678 | − | 30.8809i | 0.212068 | − | 1.41542i | ||||
\(477\) | −6.09719 | − | 6.09719i | −0.279171 | − | 0.279171i | ||||
\(478\) | −12.9691 | − | 15.0570i | −0.593192 | − | 0.688689i | ||||
\(479\) | 25.2035 | 1.15158 | 0.575788 | − | 0.817599i | \(-0.304695\pi\) | ||||
0.575788 | + | 0.817599i | \(0.304695\pi\) | |||||||
\(480\) | −1.23079 | + | 0.790312i | −0.0561777 | + | 0.0360727i | ||||
\(481\) | −12.2200 | −0.557183 | ||||||||
\(482\) | −5.47711 | − | 6.35887i | −0.249476 | − | 0.289638i | ||||
\(483\) | −0.0816814 | − | 0.0816814i | −0.00371663 | − | 0.00371663i | ||||
\(484\) | 2.42177 | − | 16.1638i | 0.110081 | − | 0.734719i | ||||
\(485\) | −30.4220 | + | 4.82266i | −1.38139 | + | 0.218985i | ||||
\(486\) | 0.326080 | − | 4.37705i | 0.0147913 | − | 0.198547i | ||||
\(487\) | −11.7968 | − | 11.7968i | −0.534566 | − | 0.534566i | 0.387362 | − | 0.921928i | \(-0.373386\pi\) |
−0.921928 | + | 0.387362i | \(0.873386\pi\) | |||||||
\(488\) | −9.87202 | − | 15.6653i | −0.446885 | − | 0.709137i | ||||
\(489\) | − | 0.804068i | − | 0.0363612i | ||||||
\(490\) | −3.54408 | + | 0.294325i | −0.160105 | + | 0.0132962i | ||||
\(491\) | −26.2767 | −1.18585 | −0.592926 | − | 0.805257i | \(-0.702027\pi\) | ||||
−0.592926 | + | 0.805257i | \(0.702027\pi\) | |||||||
\(492\) | 0.966850 | − | 0.714881i | 0.0435890 | − | 0.0322293i | ||||
\(493\) | 2.27304 | − | 2.27304i | 0.102372 | − | 0.102372i | ||||
\(494\) | 0.213182 | − | 2.86160i | 0.00959153 | − | 0.128749i | ||||
\(495\) | −6.59984 | + | 9.08653i | −0.296641 | + | 0.408409i | ||||
\(496\) | −2.41462 | + | 7.87714i | −0.108420 | + | 0.353694i | ||||
\(497\) | 14.5954 | − | 14.5954i | 0.654693 | − | 0.654693i | ||||
\(498\) | −2.17478 | + | 1.87321i | −0.0974540 | + | 0.0839405i | ||||
\(499\) | − | 28.6015i | − | 1.28038i | −0.768217 | − | 0.640190i | \(-0.778856\pi\) | ||
0.768217 | − | 0.640190i | \(-0.221144\pi\) | |||||||
\(500\) | 20.0118 | + | 9.97640i | 0.894954 | + | 0.446158i | ||||
\(501\) | 2.34994i | 0.104988i | ||||||||
\(502\) | −13.2644 | − | 15.3998i | −0.592020 | − | 0.687329i | ||||
\(503\) | 26.7711 | − | 26.7711i | 1.19366 | − | 1.19366i | 0.217632 | − | 0.976031i | \(-0.430167\pi\) |
0.976031 | − | 0.217632i | \(-0.0698333\pi\) | |||||||
\(504\) | 4.53001 | − | 19.9686i | 0.201783 | − | 0.889473i | ||||
\(505\) | 1.92886 | − | 2.65562i | 0.0858333 | − | 0.118174i | ||||
\(506\) | 0.977401 | + | 0.0728141i | 0.0434508 | + | 0.00323698i | ||||
\(507\) | −0.726324 | + | 0.726324i | −0.0322572 | + | 0.0322572i | ||||
\(508\) | −16.0735 | + | 11.8846i | −0.713145 | + | 0.527294i | ||||
\(509\) | 10.8890 | 0.482645 | 0.241323 | − | 0.970445i | \(-0.422419\pi\) | ||||
0.241323 | + | 0.970445i | \(0.422419\pi\) | |||||||
\(510\) | −0.194932 | − | 2.34725i | −0.00863171 | − | 0.103938i | ||||
\(511\) | 30.0736i | 1.33038i | ||||||||
\(512\) | 2.62239 | + | 22.4749i | 0.115894 | + | 0.993262i | ||||
\(513\) | −0.489506 | − | 0.489506i | −0.0216122 | − | 0.0216122i | ||||
\(514\) | 1.03657 | + | 0.0772221i | 0.0457212 | + | 0.00340612i | ||||
\(515\) | −26.2783 | + | 4.16577i | −1.15796 | + | 0.183566i | ||||
\(516\) | −0.745386 | − | 0.111679i | −0.0328138 | − | 0.00491639i | ||||
\(517\) | −14.4492 | − | 14.4492i | −0.635477 | − | 0.635477i | ||||
\(518\) | −15.6422 | + | 13.4732i | −0.687278 | + | 0.591976i | ||||
\(519\) | 0.292840 | 0.0128543 | ||||||||
\(520\) | 9.65180 | − | 8.45734i | 0.423260 | − | 0.370879i | ||||
\(521\) | 18.3820 | 0.805332 | 0.402666 | − | 0.915347i | \(-0.368084\pi\) | ||||
0.402666 | + | 0.915347i | \(0.368084\pi\) | |||||||
\(522\) | 1.59715 | − | 1.37568i | 0.0699052 | − | 0.0602118i | ||||
\(523\) | −25.6420 | − | 25.6420i | −1.12125 | − | 1.12125i | −0.991555 | − | 0.129691i | \(-0.958602\pi\) |
−0.129691 | − | 0.991555i | \(-0.541398\pi\) | |||||||
\(524\) | −2.83763 | + | 18.9394i | −0.123963 | + | 0.827372i | ||||
\(525\) | 1.33274 | − | 0.433440i | 0.0581657 | − | 0.0189169i | ||||
\(526\) | 14.5623 | + | 1.08486i | 0.634946 | + | 0.0473020i | ||||
\(527\) | −9.38116 | − | 9.38116i | −0.408650 | − | 0.408650i | ||||
\(528\) | −0.364661 | − | 0.687046i | −0.0158698 | − | 0.0298998i | ||||
\(529\) | 22.8302i | 0.992615i | ||||||||
\(530\) | −6.96792 | − | 5.89934i | −0.302667 | − | 0.256251i | ||||
\(531\) | 16.2661 | 0.705890 | ||||||||
\(532\) | −2.88218 | − | 3.89803i | −0.124958 | − | 0.169001i | ||||
\(533\) | −7.45972 | + | 7.45972i | −0.323116 | + | 0.323116i | ||||
\(534\) | 1.83213 | + | 0.136489i | 0.0792838 | + | 0.00590646i | ||||
\(535\) | 29.4371 | − | 4.66652i | 1.27268 | − | 0.201751i | ||||
\(536\) | −2.26905 | + | 10.0022i | −0.0980082 | + | 0.432027i | ||||
\(537\) | −0.854450 | + | 0.854450i | −0.0368722 | + | 0.0368722i | ||||
\(538\) | 28.8956 | + | 33.5474i | 1.24578 | + | 1.44633i | ||||
\(539\) | − | 1.89115i | − | 0.0814578i | ||||||
\(540\) | −0.0263036 | − | 3.09579i | −0.00113193 | − | 0.133222i | ||||
\(541\) | 28.0784i | 1.20719i | 0.797293 | + | 0.603593i | \(0.206265\pi\) | ||||
−0.797293 | + | 0.603593i | \(0.793735\pi\) | |||||||
\(542\) | −6.09941 | + | 5.25363i | −0.261992 | + | 0.225663i | ||||
\(543\) | −1.54090 | + | 1.54090i | −0.0661262 | + | 0.0661262i | ||||
\(544\) | −33.9469 | − | 13.2372i | −1.45546 | − | 0.567539i | ||||
\(545\) | −20.5363 | − | 14.9162i | −0.879680 | − | 0.638941i | ||||
\(546\) | 0.0597531 | − | 0.802080i | 0.00255720 | − | 0.0343259i | ||||
\(547\) | −1.79355 | + | 1.79355i | −0.0766867 | + | 0.0766867i | −0.744410 | − | 0.667723i | \(-0.767269\pi\) |
0.667723 | + | 0.744410i | \(0.267269\pi\) | |||||||
\(548\) | 6.83758 | + | 9.24757i | 0.292087 | + | 0.395037i | ||||
\(549\) | 19.5521 | 0.834465 | ||||||||
\(550\) | −6.16777 | + | 10.1663i | −0.262995 | + | 0.433491i | ||||
\(551\) | − | 0.499068i | − | 0.0212610i | ||||||
\(552\) | −0.114037 | + | 0.0718641i | −0.00485374 | + | 0.00305874i | ||||
\(553\) | 1.22186 | + | 1.22186i | 0.0519590 | + | 0.0519590i | ||||
\(554\) | 0.433194 | − | 5.81486i | 0.0184046 | − | 0.247050i | ||||
\(555\) | −0.915138 | + | 1.25994i | −0.0388454 | + | 0.0534816i | ||||
\(556\) | −25.0246 | − | 3.74936i | −1.06128 | − | 0.159008i | ||||
\(557\) | −0.959844 | − | 0.959844i | −0.0406699 | − | 0.0406699i | 0.686479 | − | 0.727149i | \(-0.259155\pi\) |
−0.727149 | + | 0.686479i | \(0.759155\pi\) | |||||||
\(558\) | −5.67763 | − | 6.59166i | −0.240353 | − | 0.279047i | ||||
\(559\) | 6.61267 | 0.279686 | ||||||||
\(560\) | 3.03014 | − | 21.4674i | 0.128047 | − | 0.907165i | ||||
\(561\) | 1.25251 | 0.0528812 | ||||||||
\(562\) | 4.08678 | + | 4.74471i | 0.172390 | + | 0.200143i | ||||
\(563\) | −6.16317 | − | 6.16317i | −0.259747 | − | 0.259747i | 0.565204 | − | 0.824951i | \(-0.308797\pi\) |
−0.824951 | + | 0.565204i | \(0.808797\pi\) | |||||||
\(564\) | 2.77926 | + | 0.416408i | 0.117028 | + | 0.0175339i | ||||
\(565\) | −5.60510 | − | 35.3578i | −0.235809 | − | 1.48751i | ||||
\(566\) | 2.01654 | − | 27.0685i | 0.0847615 | − | 1.13777i | ||||
\(567\) | 15.2198 | + | 15.2198i | 0.639171 | + | 0.639171i | ||||
\(568\) | −12.8412 | − | 20.3769i | −0.538804 | − | 0.854997i | ||||
\(569\) | − | 10.4809i | − | 0.439382i | −0.975570 | − | 0.219691i | \(-0.929495\pi\) | ||
0.975570 | − | 0.219691i | \(-0.0705049\pi\) | |||||||
\(570\) | −0.279081 | − | 0.236282i | −0.0116894 | − | 0.00989675i | ||||
\(571\) | −10.5243 | −0.440429 | −0.220214 | − | 0.975451i | \(-0.570676\pi\) | ||||
−0.220214 | + | 0.975451i | \(0.570676\pi\) | |||||||
\(572\) | 4.05721 | + | 5.48723i | 0.169641 | + | 0.229433i | ||||
\(573\) | −1.70481 | + | 1.70481i | −0.0712193 | + | 0.0712193i | ||||
\(574\) | −1.32409 | + | 17.7735i | −0.0552663 | + | 0.741853i | ||||
\(575\) | 1.83629 | + | 0.935000i | 0.0765785 | + | 0.0389922i | ||||
\(576\) | −21.5541 | − | 10.3100i | −0.898089 | − | 0.429583i | ||||
\(577\) | 1.18895 | − | 1.18895i | 0.0494965 | − | 0.0494965i | −0.681925 | − | 0.731422i | \(-0.738857\pi\) |
0.731422 | + | 0.681925i | \(0.238857\pi\) | |||||||
\(578\) | 26.2396 | − | 22.6011i | 1.09142 | − | 0.940081i | ||||
\(579\) | − | 2.60484i | − | 0.108253i | ||||||
\(580\) | 1.56473 | − | 1.59154i | 0.0649718 | − | 0.0660853i | ||||
\(581\) | − | 42.5441i | − | 1.76503i | ||||||
\(582\) | 1.47014 | + | 1.70681i | 0.0609392 | + | 0.0707497i | ||||
\(583\) | 3.43304 | − | 3.43304i | 0.142182 | − | 0.142182i | ||||
\(584\) | 34.2227 | + | 7.76364i | 1.41614 | + | 0.321262i | ||||
\(585\) | 2.12163 | + | 13.3836i | 0.0877188 | + | 0.553343i | ||||
\(586\) | −39.1724 | − | 2.91825i | −1.61820 | − | 0.120552i | ||||
\(587\) | 13.0363 | − | 13.0363i | 0.538067 | − | 0.538067i | −0.384894 | − | 0.922961i | \(-0.625762\pi\) |
0.922961 | + | 0.384894i | \(0.125762\pi\) | |||||||
\(588\) | 0.154628 | + | 0.209129i | 0.00637675 | + | 0.00862432i | ||||
\(589\) | −2.05973 | −0.0848697 | ||||||||
\(590\) | 17.1637 | − | 1.42539i | 0.706618 | − | 0.0586824i | ||||
\(591\) | − | 0.404788i | − | 0.0166508i | ||||||
\(592\) | 11.2939 | + | 21.2784i | 0.464175 | + | 0.874537i | ||||
\(593\) | −1.09556 | − | 1.09556i | −0.0449894 | − | 0.0449894i | 0.684254 | − | 0.729244i | \(-0.260128\pi\) |
−0.729244 | + | 0.684254i | \(0.760128\pi\) | |||||||
\(594\) | 1.64179 | + | 0.122309i | 0.0673633 | + | 0.00501841i | ||||
\(595\) | 28.2466 | + | 20.5164i | 1.15800 | + | 0.841092i | ||||
\(596\) | 2.05616 | − | 13.7236i | 0.0842237 | − | 0.562140i | ||||
\(597\) | 1.22172 | + | 1.22172i | 0.0500018 | + | 0.0500018i | ||||
\(598\) | 0.896042 | − | 0.771792i | 0.0366419 | − | 0.0315609i | ||||
\(599\) | −38.0368 | −1.55414 | −0.777072 | − | 0.629412i | \(-0.783296\pi\) | ||||
−0.777072 | + | 0.629412i | \(0.783296\pi\) | |||||||
\(600\) | −0.149185 | − | 1.62851i | −0.00609044 | − | 0.0664837i | ||||
\(601\) | 8.12072 | 0.331251 | 0.165626 | − | 0.986189i | \(-0.447036\pi\) | ||||
0.165626 | + | 0.986189i | \(0.447036\pi\) | |||||||
\(602\) | 8.46455 | − | 7.29081i | 0.344989 | − | 0.297151i | ||||
\(603\) | −7.65794 | − | 7.65794i | −0.311855 | − | 0.311855i | ||||
\(604\) | 9.38363 | + | 1.40592i | 0.381815 | + | 0.0572061i | ||||
\(605\) | 14.7850 | + | 10.7388i | 0.601095 | + | 0.436595i | ||||
\(606\) | −0.239378 | − | 0.0178331i | −0.00972405 | − | 0.000724419i | ||||
\(607\) | 1.42181 | + | 1.42181i | 0.0577096 | + | 0.0577096i | 0.735373 | − | 0.677663i | \(-0.237007\pi\) |
−0.677663 | + | 0.735373i | \(0.737007\pi\) | |||||||
\(608\) | −5.17988 | + | 2.27352i | −0.210072 | + | 0.0922034i | ||||
\(609\) | − | 0.139884i | − | 0.00566840i | ||||||
\(610\) | 20.6310 | − | 1.71334i | 0.835326 | − | 0.0693711i | ||||
\(611\) | −24.6561 | −0.997480 | ||||||||
\(612\) | 30.9364 | − | 22.8741i | 1.25053 | − | 0.924631i | ||||
\(613\) | 7.70428 | − | 7.70428i | 0.311173 | − | 0.311173i | −0.534191 | − | 0.845364i | \(-0.679384\pi\) |
0.845364 | + | 0.534191i | \(0.179384\pi\) | |||||||
\(614\) | 48.9480 | + | 3.64651i | 1.97538 | + | 0.147161i | ||||
\(615\) | 0.210487 | + | 1.32778i | 0.00848767 | + | 0.0535415i | ||||
\(616\) | 11.2434 | + | 2.55064i | 0.453009 | + | 0.102768i | ||||
\(617\) | −21.5196 | + | 21.5196i | −0.866345 | + | 0.866345i | −0.992066 | − | 0.125721i | \(-0.959876\pi\) |
0.125721 | + | 0.992066i | \(0.459876\pi\) | |||||||
\(618\) | 1.26989 | + | 1.47433i | 0.0510826 | + | 0.0593063i | ||||
\(619\) | 38.7238i | 1.55644i | 0.627990 | + | 0.778221i | \(0.283878\pi\) | ||||
−0.627990 | + | 0.778221i | \(0.716122\pi\) | |||||||
\(620\) | −6.56854 | − | 6.45786i | −0.263799 | − | 0.259354i | ||||
\(621\) | − | 0.285300i | − | 0.0114487i | ||||||
\(622\) | −23.3253 | + | 20.0909i | −0.935257 | + | 0.805570i | ||||
\(623\) | −19.2555 | + | 19.2555i | −0.771457 | + | 0.771457i | ||||
\(624\) | −0.897314 | − | 0.275058i | −0.0359213 | − | 0.0110111i | ||||
\(625\) | −20.2173 | + | 14.7057i | −0.808694 | + | 0.588230i | ||||
\(626\) | 2.12223 | − | 28.4872i | 0.0848213 | − | 1.13858i | ||||
\(627\) | 0.137501 | − | 0.137501i | 0.00549126 | − | 0.00549126i | ||||
\(628\) | 17.6971 | − | 13.0851i | 0.706192 | − | 0.522153i | ||||
\(629\) | −38.7915 | −1.54672 | ||||||||
\(630\) | 17.4719 | + | 14.7924i | 0.696097 | + | 0.589345i | ||||
\(631\) | − | 39.3146i | − | 1.56509i | −0.622595 | − | 0.782545i | \(-0.713921\pi\) | ||
0.622595 | − | 0.782545i | \(-0.286079\pi\) | |||||||
\(632\) | 1.70587 | − | 1.07501i | 0.0678559 | − | 0.0427616i | ||||
\(633\) | −0.207220 | − | 0.207220i | −0.00823624 | − | 0.00823624i | ||||
\(634\) | −2.17100 | + | 29.1418i | −0.0862213 | + | 1.15737i | ||||
\(635\) | −3.49926 | − | 22.0739i | −0.138864 | − | 0.875974i | ||||
\(636\) | −0.0989357 | + | 0.660333i | −0.00392305 | + | 0.0261839i | ||||
\(637\) | −1.61353 | − | 1.61353i | −0.0639303 | − | 0.0639303i | ||||
\(638\) | 0.774580 | + | 0.899279i | 0.0306659 | + | 0.0356028i | ||||
\(639\) | 25.4327 | 1.00610 | ||||||||
\(640\) | −23.6469 | − | 8.99012i | −0.934727 | − | 0.355366i | ||||
\(641\) | −6.95367 | −0.274653 | −0.137327 | − | 0.990526i | \(-0.543851\pi\) | ||||
−0.137327 | + | 0.990526i | \(0.543851\pi\) | |||||||
\(642\) | −1.42254 | − | 1.65156i | −0.0561433 | − | 0.0651817i | ||||
\(643\) | −29.8072 | − | 29.8072i | −1.17548 | − | 1.17548i | −0.980883 | − | 0.194600i | \(-0.937659\pi\) |
−0.194600 | − | 0.980883i | \(-0.562341\pi\) | |||||||
\(644\) | 0.296038 | − | 1.97587i | 0.0116655 | − | 0.0778600i | ||||
\(645\) | 0.495215 | − | 0.681801i | 0.0194991 | − | 0.0268459i | ||||
\(646\) | 0.676733 | − | 9.08395i | 0.0266257 | − | 0.357403i | ||||
\(647\) | 26.6464 | + | 26.6464i | 1.04758 | + | 1.04758i | 0.998810 | + | 0.0487659i | \(0.0155288\pi\) |
0.0487659 | + | 0.998810i | \(0.484471\pi\) | |||||||
\(648\) | 21.2487 | − | 13.3905i | 0.834726 | − | 0.526030i | ||||
\(649\) | 9.15870i | 0.359510i | ||||||||
\(650\) | 3.41150 | + | 13.9362i | 0.133810 | + | 0.546621i | ||||
\(651\) | −0.577324 | −0.0226271 | ||||||||
\(652\) | 11.1823 | − | 8.26807i | 0.437931 | − | 0.323803i | ||||
\(653\) | −32.3188 | + | 32.3188i | −1.26473 | + | 1.26473i | −0.315958 | + | 0.948773i | \(0.602326\pi\) |
−0.948773 | + | 0.315958i | \(0.897674\pi\) | |||||||
\(654\) | −0.137906 | + | 1.85115i | −0.00539255 | + | 0.0723855i | ||||
\(655\) | −17.3238 | − | 12.5828i | −0.676897 | − | 0.491652i | ||||
\(656\) | 19.8838 | + | 6.09509i | 0.776334 | + | 0.237973i | ||||
\(657\) | −26.2019 | + | 26.2019i | −1.02223 | + | 1.02223i | ||||
\(658\) | −31.5611 | + | 27.1847i | −1.23038 | + | 1.05977i | ||||
\(659\) | − | 38.2660i | − | 1.49063i | −0.666711 | − | 0.745316i | \(-0.732298\pi\) | ||
0.666711 | − | 0.745316i | \(-0.267702\pi\) | |||||||
\(660\) | 0.869602 | − | 0.00738863i | 0.0338492 | − | 0.000287602i | ||||
\(661\) | − | 39.1924i | − | 1.52441i | −0.647336 | − | 0.762204i | \(-0.724117\pi\) | ||
0.647336 | − | 0.762204i | \(-0.275883\pi\) | |||||||
\(662\) | 12.9637 | + | 15.0507i | 0.503847 | + | 0.584961i | ||||
\(663\) | 1.06864 | − | 1.06864i | 0.0415026 | − | 0.0415026i | ||||
\(664\) | −48.4137 | − | 10.9830i | −1.87882 | − | 0.426222i | ||||
\(665\) | 5.35321 | − | 0.848619i | 0.207589 | − | 0.0329080i | ||||
\(666\) | −25.3670 | − | 1.88978i | −0.982951 | − | 0.0732276i | ||||
\(667\) | 0.145437 | − | 0.145437i | 0.00563133 | − | 0.00563133i | ||||
\(668\) | −32.6809 | + | 24.1640i | −1.26446 | + | 0.934933i | ||||
\(669\) | 2.66994 | 0.103226 | ||||||||
\(670\) | −8.75156 | − | 7.40944i | −0.338102 | − | 0.286252i | ||||
\(671\) | 11.0089i | 0.424994i | ||||||||
\(672\) | −1.45187 | + | 0.637247i | −0.0560072 | + | 0.0245823i | ||||
\(673\) | 23.4605 | + | 23.4605i | 0.904336 | + | 0.904336i | 0.995808 | − | 0.0914717i | \(-0.0291571\pi\) |
−0.0914717 | + | 0.995808i | \(0.529157\pi\) | |||||||
\(674\) | 14.5409 | + | 1.08326i | 0.560093 | + | 0.0417256i | ||||
\(675\) | 3.08450 | + | 1.57056i | 0.118722 | + | 0.0604510i | ||||
\(676\) | −17.5697 | − | 2.63241i | −0.675758 | − | 0.101247i | ||||
\(677\) | −29.4622 | − | 29.4622i | −1.13232 | − | 1.13232i | −0.989790 | − | 0.142533i | \(-0.954475\pi\) |
−0.142533 | − | 0.989790i | \(-0.545525\pi\) | |||||||
\(678\) | −1.98374 | + | 1.70866i | −0.0761849 | + | 0.0656207i | ||||
\(679\) | −33.3896 | −1.28138 | ||||||||
\(680\) | 30.6390 | − | 26.8472i | 1.17495 | − | 1.02954i | ||||
\(681\) | −0.999403 | −0.0382972 | ||||||||
\(682\) | 3.71146 | − | 3.19681i | 0.142119 | − | 0.122412i | ||||
\(683\) | 8.73981 | + | 8.73981i | 0.334419 | + | 0.334419i | 0.854262 | − | 0.519843i | \(-0.174009\pi\) |
−0.519843 | + | 0.854262i | \(0.674009\pi\) | |||||||
\(684\) | 0.885075 | − | 5.90732i | 0.0338417 | − | 0.225872i | ||||
\(685\) | −12.6998 | + | 2.01324i | −0.485234 | + | 0.0769218i | ||||
\(686\) | −27.7737 | − | 2.06908i | −1.06040 | − | 0.0789977i | ||||
\(687\) | 0.801306 | + | 0.801306i | 0.0305717 | + | 0.0305717i | ||||
\(688\) | −6.11153 | − | 11.5145i | −0.233000 | − | 0.438987i | ||||
\(689\) | − | 5.85813i | − | 0.223177i | ||||||
\(690\) | −0.0124724 | − | 0.150185i | −0.000474816 | − | 0.00571745i | ||||
\(691\) | −33.2858 | −1.26625 | −0.633126 | − | 0.774049i | \(-0.718229\pi\) | ||||
−0.633126 | + | 0.774049i | \(0.718229\pi\) | |||||||
\(692\) | 3.01122 | + | 4.07256i | 0.114469 | + | 0.154815i | ||||
\(693\) | −8.60827 | + | 8.60827i | −0.327001 | + | 0.327001i | ||||
\(694\) | 20.7329 | + | 1.54455i | 0.787009 | + | 0.0586303i | ||||
\(695\) | 16.6257 | − | 22.8899i | 0.630649 | − | 0.868265i | ||||
\(696\) | −0.159184 | − | 0.0361119i | −0.00603384 | − | 0.00136882i | ||||
\(697\) | −23.6804 | + | 23.6804i | −0.896957 | + | 0.896957i | ||||
\(698\) | 25.1482 | + | 29.1967i | 0.951872 | + | 1.10511i | ||||
\(699\) | − | 1.44655i | − | 0.0547137i | ||||||
\(700\) | 19.7322 | + | 14.0776i | 0.745808 | + | 0.532084i | ||||
\(701\) | 16.1577i | 0.610268i | 0.952309 | + | 0.305134i | \(0.0987012\pi\) | ||||
−0.952309 | + | 0.305134i | \(0.901299\pi\) | |||||||
\(702\) | 1.50512 | − | 1.29641i | 0.0568072 | − | 0.0489300i | ||||
\(703\) | −4.25853 | + | 4.25853i | −0.160613 | + | 0.160613i | ||||
\(704\) | 5.80507 | − | 12.1361i | 0.218787 | − | 0.457398i | ||||
\(705\) | −1.84647 | + | 2.54218i | −0.0695420 | + | 0.0957439i | ||||
\(706\) | −2.15034 | + | 28.8645i | −0.0809291 | + | 1.08633i | ||||
\(707\) | 2.51584 | − | 2.51584i | 0.0946181 | − | 0.0946181i | ||||
\(708\) | −0.748851 | − | 1.01279i | −0.0281435 | − | 0.0380631i | ||||
\(709\) | −34.4178 | −1.29259 | −0.646294 | − | 0.763089i | \(-0.723682\pi\) | ||||
−0.646294 | + | 0.763089i | \(0.723682\pi\) | |||||||
\(710\) | 26.8361 | − | 2.22865i | 1.00714 | − | 0.0836399i | ||||
\(711\) | 2.12912i | 0.0798483i | ||||||||
\(712\) | 16.9412 | + | 26.8830i | 0.634899 | + | 1.00748i | ||||
\(713\) | −0.600239 | − | 0.600239i | −0.0224791 | − | 0.0224791i | ||||
\(714\) | 0.189682 | − | 2.54615i | 0.00709868 | − | 0.0952872i | ||||
\(715\) | −7.53567 | + | 1.19459i | −0.281818 | + | 0.0446753i | ||||
\(716\) | −20.6691 | − | 3.09678i | −0.772439 | − | 0.115732i | ||||
\(717\) | −1.14897 | − | 1.14897i | −0.0429091 | − | 0.0429091i | ||||
\(718\) | 0.129197 | + | 0.149996i | 0.00482159 | + | 0.00559781i | ||||
\(719\) | −24.1031 | −0.898893 | −0.449446 | − | 0.893307i | \(-0.648379\pi\) | ||||
−0.449446 | + | 0.893307i | \(0.648379\pi\) | |||||||
\(720\) | 21.3437 | − | 16.0637i | 0.795434 | − | 0.598657i | ||||
\(721\) | −28.8416 | −1.07412 | ||||||||
\(722\) | −0.922945 | − | 1.07153i | −0.0343484 | − | 0.0398782i | ||||
\(723\) | −0.485234 | − | 0.485234i | −0.0180461 | − | 0.0180461i | ||||
\(724\) | −37.2741 | − | 5.58467i | −1.38528 | − | 0.207553i | ||||
\(725\) | 0.771755 | + | 2.37300i | 0.0286623 | + | 0.0881310i | ||||
\(726\) | 0.0992843 | − | 1.33272i | 0.00368479 | − | 0.0494618i | ||||
\(727\) | 8.09087 | + | 8.09087i | 0.300074 | + | 0.300074i | 0.841043 | − | 0.540969i | \(-0.181942\pi\) |
−0.540969 | + | 0.841043i | \(0.681942\pi\) | |||||||
\(728\) | 11.7690 | − | 7.41664i | 0.436190 | − | 0.274879i | ||||
\(729\) | 26.2806i | 0.973356i | ||||||||
\(730\) | −25.3516 | + | 29.9437i | −0.938306 | + | 1.10827i | ||||
\(731\) | 20.9915 | 0.776398 | ||||||||
\(732\) | −0.900130 | − | 1.21739i | −0.0332698 | − | 0.0449961i | ||||
\(733\) | 15.1974 | − | 15.1974i | 0.561330 | − | 0.561330i | −0.368355 | − | 0.929685i | \(-0.620079\pi\) |
0.929685 | + | 0.368355i | \(0.120079\pi\) | |||||||
\(734\) | −1.03599 | + | 13.9064i | −0.0382391 | + | 0.513293i | ||||
\(735\) | −0.287198 | + | 0.0455282i | −0.0105935 | + | 0.00167933i | ||||
\(736\) | −2.17204 | − | 0.846960i | −0.0800625 | − | 0.0312194i | ||||
\(737\) | 4.31183 | − | 4.31183i | 0.158828 | − | 0.158828i | ||||
\(738\) | −16.6390 | + | 14.3317i | −0.612489 | + | 0.527558i | ||||
\(739\) | 21.5559i | 0.792948i | 0.918046 | + | 0.396474i | \(0.129766\pi\) | ||||
−0.918046 | + | 0.396474i | \(0.870234\pi\) | |||||||
\(740\) | −26.9323 | + | 0.228832i | −0.990052 | + | 0.00841204i | ||||
\(741\) | − | 0.234631i | − | 0.00861939i | ||||||
\(742\) | −6.45889 | − | 7.49870i | −0.237113 | − | 0.275286i | ||||
\(743\) | −24.2464 | + | 24.2464i | −0.889515 | + | 0.889515i | −0.994476 | − | 0.104961i | \(-0.966528\pi\) |
0.104961 | + | 0.994476i | \(0.466528\pi\) | |||||||
\(744\) | −0.149039 | + | 0.656974i | −0.00546403 | + | 0.0240858i | ||||
\(745\) | 12.5529 | + | 9.11759i | 0.459903 | + | 0.334043i | ||||
\(746\) | 19.3064 | + | 1.43828i | 0.706858 | + | 0.0526593i | ||||
\(747\) | 37.0669 | − | 37.0669i | 1.35621 | − | 1.35621i | ||||
\(748\) | 12.8793 | + | 17.4188i | 0.470915 | + | 0.636895i | ||||
\(749\) | 32.3086 | 1.18053 | ||||||||
\(750\) | 1.69237 | + | 0.691918i | 0.0617968 | + | 0.0252653i | ||||
\(751\) | 10.2768i | 0.375007i | 0.982264 | + | 0.187504i | \(0.0600396\pi\) | ||||
−0.982264 | + | 0.187504i | \(0.939960\pi\) | |||||||
\(752\) | 22.7876 | + | 42.9333i | 0.830977 | + | 1.56562i | ||||
\(753\) | −1.17514 | − | 1.17514i | −0.0428243 | − | 0.0428243i | ||||
\(754\) | 1.42813 | + | 0.106393i | 0.0520096 | + | 0.00387459i | ||||
\(755\) | −6.23424 | + | 8.58317i | −0.226887 | + | 0.312373i | ||||
\(756\) | 0.497268 | − | 3.31895i | 0.0180855 | − | 0.120709i | ||||
\(757\) | −28.3840 | − | 28.3840i | −1.03163 | − | 1.03163i | −0.999483 | − | 0.0321496i | \(-0.989765\pi\) |
−0.0321496 | − | 0.999483i | \(-0.510235\pi\) | |||||||
\(758\) | 9.10857 | − | 7.84553i | 0.330838 | − | 0.284962i | ||||
\(759\) | 0.0801401 | 0.00290890 | ||||||||
\(760\) | 0.416259 | − | 6.31084i | 0.0150993 | − | 0.228918i | ||||
\(761\) | 39.8010 | 1.44279 | 0.721393 | − | 0.692526i | \(-0.243502\pi\) | ||||
0.721393 | + | 0.692526i | \(0.243502\pi\) | |||||||
\(762\) | −1.23844 | + | 1.06672i | −0.0448641 | + | 0.0386430i | ||||
\(763\) | −19.4554 | − | 19.4554i | −0.704334 | − | 0.704334i | ||||
\(764\) | −41.2391 | − | 6.17872i | −1.49198 | − | 0.223538i | ||||
\(765\) | 6.73498 | + | 42.4852i | 0.243504 | + | 1.53606i | ||||
\(766\) | 17.0600 | + | 1.27093i | 0.616403 | + | 0.0459206i | ||||
\(767\) | 7.81418 | + | 7.81418i | 0.282154 | + | 0.282154i | ||||
\(768\) | 0.350357 | + | 1.81669i | 0.0126424 | + | 0.0655541i | ||||
\(769\) | 33.1667i | 1.19602i | 0.801488 | + | 0.598011i | \(0.204042\pi\) | ||||
−0.801488 | + | 0.598011i | \(0.795958\pi\) | |||||||
\(770\) | −8.32893 | + | 9.83760i | −0.300154 | + | 0.354523i | ||||
\(771\) | 0.0849916 | 0.00306090 | ||||||||
\(772\) | 36.2257 | − | 26.7850i | 1.30379 | − | 0.964013i | ||||
\(773\) | −8.28210 | + | 8.28210i | −0.297886 | + | 0.297886i | −0.840186 | − | 0.542299i | \(-0.817554\pi\) |
0.542299 | + | 0.840186i | \(0.317554\pi\) | |||||||
\(774\) | 13.7270 | + | 1.02263i | 0.493407 | + | 0.0367577i | ||||
\(775\) | 9.79372 | − | 3.18515i | 0.351801 | − | 0.114414i | ||||
\(776\) | −8.61969 | + | 37.9962i | −0.309429 | + | 1.36398i | ||||
\(777\) | −1.19363 | + | 1.19363i | −0.0428212 | + | 0.0428212i | ||||
\(778\) | 10.1952 | + | 11.8365i | 0.365515 | + | 0.424358i | ||||
\(779\) | 5.19926i | 0.186283i | ||||||||
\(780\) | 0.735638 | − | 0.748246i | 0.0263401 | − | 0.0267915i | ||||
\(781\) | 14.3200i | 0.512410i | ||||||||
\(782\) | 2.84442 | − | 2.45000i | 0.101716 | − | 0.0876118i | ||||
\(783\) | 0.244297 | − | 0.244297i | 0.00873046 | − | 0.00873046i | ||||
\(784\) | −1.31836 | + | 4.30086i | −0.0470844 | + | 0.153602i | ||||
\(785\) | 3.85274 | + | 24.3036i | 0.137510 | + | 0.867433i | ||||
\(786\) | −0.116333 | + | 1.56157i | −0.00414946 | + | 0.0556992i | ||||
\(787\) | −31.5765 | + | 31.5765i | −1.12558 | + | 1.12558i | −0.134694 | + | 0.990887i | \(0.543005\pi\) |
−0.990887 | + | 0.134694i | \(0.956995\pi\) | |||||||
\(788\) | 5.62943 | − | 4.16236i | 0.200540 | − | 0.148278i | ||||
\(789\) | 1.19401 | 0.0425078 | ||||||||
\(790\) | 0.186573 | + | 2.24661i | 0.00663798 | + | 0.0799306i | ||||
\(791\) | − | 38.8069i | − | 1.37981i | ||||||
\(792\) | 7.57364 | + | 12.0182i | 0.269118 | + | 0.427047i | ||||
\(793\) | 9.39277 | + | 9.39277i | 0.333547 | + | 0.333547i | ||||
\(794\) | −0.879558 | + | 11.8065i | −0.0312143 | + | 0.418998i | ||||
\(795\) | −0.604004 | − | 0.438708i | −0.0214218 | − | 0.0155594i | ||||
\(796\) | −4.42788 | + | 29.5533i | −0.156942 | + | 1.04749i | ||||
\(797\) | 24.0274 | + | 24.0274i | 0.851096 | + | 0.851096i | 0.990268 | − | 0.139172i | \(-0.0444442\pi\) |
−0.139172 | + | 0.990268i | \(0.544444\pi\) | |||||||
\(798\) | −0.258693 | − | 0.300340i | −0.00915764 | − | 0.0106319i | ||||
\(799\) | −78.2692 | −2.76897 | ||||||||
\(800\) | 21.1138 | − | 18.8204i | 0.746486 | − | 0.665401i | ||||
\(801\) | −33.5531 | −1.18554 | ||||||||
\(802\) | 11.1483 | + | 12.9430i | 0.393659 | + | 0.457034i | ||||
\(803\) | −14.7531 | − | 14.7531i | −0.520624 | − | 0.520624i | ||||
\(804\) | −0.124261 | + | 0.829364i | −0.00438235 | + | 0.0292494i | ||||
\(805\) | 1.80732 | + | 1.31271i | 0.0636995 | + | 0.0462670i | ||||
\(806\) | 0.439098 | − | 5.89412i | 0.0154666 | − | 0.207611i | ||||
\(807\) | 2.55995 | + | 2.55995i | 0.0901143 | + | 0.0901143i | ||||
\(808\) | −2.21347 | − | 3.51242i | −0.0778694 | − | 0.123567i | ||||
\(809\) | 28.8766i | 1.01525i | 0.861579 | + | 0.507624i | \(0.169476\pi\) | ||||
−0.861579 | + | 0.507624i | \(0.830524\pi\) | |||||||
\(810\) | 2.32400 | + | 27.9842i | 0.0816569 | + | 0.983264i | ||||
\(811\) | 38.5975 | 1.35534 | 0.677670 | − | 0.735366i | \(-0.262990\pi\) | ||||
0.677670 | + | 0.735366i | \(0.262990\pi\) | |||||||
\(812\) | 1.94539 | − | 1.43840i | 0.0682697 | − | 0.0504781i | ||||
\(813\) | −0.465435 | + | 0.465435i | −0.0163235 | + | 0.0163235i | ||||
\(814\) | 1.06405 | − | 14.2830i | 0.0372949 | − | 0.500618i | ||||
\(815\) | 2.43442 | + | 15.3567i | 0.0852742 | + | 0.537922i | ||||
\(816\) | −2.84846 | − | 0.873152i | −0.0997161 | − | 0.0305664i | ||||
\(817\) | 2.30445 | − | 2.30445i | 0.0806223 | − | 0.0806223i | ||||
\(818\) | 4.64830 | − | 4.00375i | 0.162524 | − | 0.139988i | ||||
\(819\) | 14.6891i | 0.513279i | ||||||||
\(820\) | −16.3012 | + | 16.5806i | −0.569264 | + | 0.579020i | ||||
\(821\) | 26.9264i | 0.939739i | 0.882736 | + | 0.469870i | \(0.155699\pi\) | ||||
−0.882736 | + | 0.469870i | \(0.844301\pi\) | |||||||
\(822\) | 0.613715 | + | 0.712516i | 0.0214058 | + | 0.0248519i | ||||
\(823\) | −27.4545 | + | 27.4545i | −0.957005 | + | 0.957005i | −0.999113 | − | 0.0421084i | \(-0.986593\pi\) |
0.0421084 | + | 0.999113i | \(0.486593\pi\) | |||||||
\(824\) | −7.44561 | + | 32.8208i | −0.259380 | + | 1.14337i | ||||
\(825\) | −0.441168 | + | 0.866428i | −0.0153595 | + | 0.0301652i | ||||
\(826\) | 18.6181 | + | 1.38700i | 0.647806 | + | 0.0482601i | ||||
\(827\) | −5.55262 | + | 5.55262i | −0.193083 | + | 0.193083i | −0.797027 | − | 0.603944i | \(-0.793595\pi\) |
0.603944 | + | 0.797027i | \(0.293595\pi\) | |||||||
\(828\) | 1.97942 | − | 1.46357i | 0.0687895 | − | 0.0508624i | ||||
\(829\) | 38.8189 | 1.34824 | 0.674118 | − | 0.738624i | \(-0.264524\pi\) | ||||
0.674118 | + | 0.738624i | \(0.264524\pi\) | |||||||
\(830\) | 35.8641 | − | 42.3604i | 1.24486 | − | 1.47035i | ||||
\(831\) | − | 0.476778i | − | 0.0165393i | ||||||
\(832\) | −5.40164 | − | 15.3074i | −0.187268 | − | 0.530688i | ||||
\(833\) | −5.12204 | − | 5.12204i | −0.177468 | − | 0.177468i | ||||
\(834\) | −2.06330 | − | 0.153711i | −0.0714462 | − | 0.00532257i | ||||
\(835\) | −7.11477 | − | 44.8810i | −0.246217 | − | 1.55317i | ||||
\(836\) | 3.32614 | + | 0.498345i | 0.115037 | + | 0.0172356i | ||||
\(837\) | −1.00825 | − | 1.00825i | −0.0348502 | − | 0.0348502i | ||||
\(838\) | −11.6801 | + | 10.0605i | −0.403482 | + | 0.347533i | ||||
\(839\) | −26.9953 | −0.931982 | −0.465991 | − | 0.884789i | \(-0.654302\pi\) | ||||
−0.465991 | + | 0.884789i | \(0.654302\pi\) | |||||||
\(840\) | 0.116674 | − | 1.76887i | 0.00402562 | − | 0.0610319i | ||||
\(841\) | −28.7509 | −0.991411 | ||||||||
\(842\) | 29.0175 | − | 24.9938i | 1.00001 | − | 0.861344i | ||||
\(843\) | 0.362060 | + | 0.362060i | 0.0124700 | + | 0.0124700i | ||||
\(844\) | 0.751025 | − | 5.01262i | 0.0258513 | − | 0.172541i | ||||
\(845\) | 11.6728 | − | 16.0709i | 0.401558 | − | 0.552857i | ||||
\(846\) | −51.1828 | − | 3.81300i | −1.75970 | − | 0.131094i | ||||
\(847\) | 14.0068 | + | 14.0068i | 0.481279 | + | 0.481279i | ||||
\(848\) | −10.2007 | + | 5.41417i | −0.350292 | + | 0.185923i | ||||
\(849\) | − | 2.21943i | − | 0.0761706i | ||||||
\(850\) | 10.8296 | + | 44.2394i | 0.371451 | + | 1.51740i | ||||
\(851\) | −2.48201 | −0.0850823 | ||||||||
\(852\) | −1.17086 | − | 1.58354i | −0.0401129 | − | 0.0542512i | ||||
\(853\) | −10.6243 | + | 10.6243i | −0.363770 | + | 0.363770i | −0.865199 | − | 0.501429i | \(-0.832808\pi\) |
0.501429 | + | 0.865199i | \(0.332808\pi\) | |||||||
\(854\) | 22.3792 | + | 1.66720i | 0.765802 | + | 0.0570505i | ||||
\(855\) | 5.40340 | + | 3.92467i | 0.184792 | + | 0.134221i | ||||
\(856\) | 8.34062 | − | 36.7661i | 0.285077 | − | 1.25664i | ||||
\(857\) | 26.6560 | − | 26.6560i | 0.910552 | − | 0.910552i | −0.0857639 | − | 0.996315i | \(-0.527333\pi\) |
0.996315 | + | 0.0857639i | \(0.0273331\pi\) | |||||||
\(858\) | 0.364160 | + | 0.422786i | 0.0124322 | + | 0.0144337i | ||||
\(859\) | − | 18.8892i | − | 0.644491i | −0.946656 | − | 0.322246i | \(-0.895562\pi\) | ||
0.946656 | − | 0.322246i | \(-0.104438\pi\) | |||||||
\(860\) | 14.5741 | − | 0.123830i | 0.496972 | − | 0.00422255i | ||||
\(861\) | 1.45731i | 0.0496649i | ||||||||
\(862\) | −25.5998 | + | 22.0500i | −0.871932 | + | 0.751026i | ||||
\(863\) | 25.1352 | − | 25.1352i | 0.855611 | − | 0.855611i | −0.135207 | − | 0.990817i | \(-0.543170\pi\) |
0.990817 | + | 0.135207i | \(0.0431699\pi\) | |||||||
\(864\) | −3.64848 | − | 1.42268i | −0.124124 | − | 0.0484005i | ||||
\(865\) | −5.59288 | + | 0.886613i | −0.190164 | + | 0.0301457i | ||||
\(866\) | −3.52757 | + | 47.3513i | −0.119872 | + | 1.60906i | ||||
\(867\) | 2.00230 | − | 2.00230i | 0.0680016 | − | 0.0680016i | ||||
\(868\) | −5.93650 | − | 8.02890i | −0.201498 | − | 0.272519i | ||||
\(869\) | −1.19881 | −0.0406668 | ||||||||
\(870\) | 0.117921 | − | 0.139280i | 0.00399789 | − | 0.00472205i | ||||
\(871\) | − | 7.35768i | − | 0.249306i | ||||||
\(872\) | −27.1621 | + | 17.1171i | −0.919826 | + | 0.579658i | ||||
\(873\) | −29.0910 | − | 29.0910i | −0.984581 | − | 0.984581i | ||||
\(874\) | 0.0432997 | − | 0.581222i | 0.00146463 | − | 0.0196601i | ||||
\(875\) | −24.1415 | + | 12.3132i | −0.816130 | + | 0.416263i | ||||
\(876\) | 2.83770 | + | 0.425163i | 0.0958769 | + | 0.0143649i | ||||
\(877\) | −9.15127 | − | 9.15127i | −0.309016 | − | 0.309016i | 0.535512 | − | 0.844528i | \(-0.320119\pi\) |
−0.844528 | + | 0.535512i | \(0.820119\pi\) | |||||||
\(878\) | −14.4177 | − | 16.7388i | −0.486575 | − | 0.564908i | ||||
\(879\) | −3.21187 | −0.108334 | ||||||||
\(880\) | 9.04469 | + | 12.0177i | 0.304897 | + | 0.405115i | ||||
\(881\) | 22.3071 | 0.751545 | 0.375773 | − | 0.926712i | \(-0.377377\pi\) | ||||
0.375773 | + | 0.926712i | \(0.377377\pi\) | |||||||
\(882\) | −3.09994 | − | 3.59899i | −0.104380 | − | 0.121184i | ||||
\(883\) | 23.4882 | + | 23.4882i | 0.790440 | + | 0.790440i | 0.981566 | − | 0.191125i | \(-0.0612137\pi\) |
−0.191125 | + | 0.981566i | \(0.561214\pi\) | |||||||
\(884\) | 25.8503 | + | 3.87307i | 0.869441 | + | 0.130266i | ||||
\(885\) | 1.39088 | − | 0.220489i | 0.0467538 | − | 0.00741166i | ||||
\(886\) | −0.901090 | + | 12.0955i | −0.0302727 | + | 0.406358i | ||||
\(887\) | −5.01730 | − | 5.01730i | −0.168464 | − | 0.168464i | 0.617840 | − | 0.786304i | \(-0.288008\pi\) |
−0.786304 | + | 0.617840i | \(0.788008\pi\) | |||||||
\(888\) | 1.05017 | + | 1.66645i | 0.0352413 | + | 0.0559223i | ||||
\(889\) | − | 24.2271i | − | 0.812551i | ||||||
\(890\) | −35.4046 | + | 2.94024i | −1.18676 | + | 0.0985569i | ||||
\(891\) | −14.9326 | −0.500261 | ||||||||
\(892\) | 27.4544 | + | 37.1311i | 0.919242 | + | 1.24324i | ||||
\(893\) | −8.59240 | + | 8.59240i | −0.287534 | + | 0.287534i | ||||
\(894\) | 0.0842955 | − | 1.13152i | 0.00281926 | − | 0.0378437i | ||||
\(895\) | 13.7320 | − | 18.9059i | 0.459009 | − | 0.631955i | ||||
\(896\) | −23.7916 | − | 13.6386i | −0.794821 | − | 0.455635i | ||||
\(897\) | 0.0683754 | − | 0.0683754i | 0.00228299 | − | 0.00228299i | ||||
\(898\) | 6.78510 | − | 5.84424i | 0.226422 | − | 0.195025i | ||||
\(899\) | − | 1.02795i | − | 0.0342839i | ||||||
\(900\) | 4.92662 | + | 29.4571i | 0.164221 | + | 0.981905i | ||||
\(901\) | − | 18.5962i | − | 0.619530i | ||||||
\(902\) | −8.06953 | − | 9.36863i | −0.268686 | − | 0.311941i | ||||
\(903\) | 0.645915 | − | 0.645915i | 0.0214947 | − | 0.0214947i | ||||
\(904\) | −44.1609 | − | 10.0182i | −1.46877 | − | 0.333200i | ||||
\(905\) | 24.7639 | − | 34.0945i | 0.823181 | − | 1.13334i | ||||
\(906\) | 0.773687 | + | 0.0576379i | 0.0257040 | + | 0.00191489i | ||||
\(907\) | −15.1970 | + | 15.1970i | −0.504608 | + | 0.504608i | −0.912866 | − | 0.408259i | \(-0.866136\pi\) |
0.408259 | + | 0.912866i | \(0.366136\pi\) | |||||||
\(908\) | −10.2767 | − | 13.8988i | −0.341043 | − | 0.461248i | ||||
\(909\) | 4.38391 | 0.145405 | ||||||||
\(910\) | 1.28720 | + | 15.4997i | 0.0426701 | + | 0.513808i | ||||
\(911\) | − | 60.0386i | − | 1.98917i | −0.103942 | − | 0.994583i | \(-0.533145\pi\) | ||
0.103942 | − | 0.994583i | \(-0.466855\pi\) | |||||||
\(912\) | −0.408559 | + | 0.216850i | −0.0135287 | + | 0.00718061i | ||||
\(913\) | 20.8707 | + | 20.8707i | 0.690718 | + | 0.690718i | ||||
\(914\) | 12.6137 | + | 0.939694i | 0.417225 | + | 0.0310823i | ||||
\(915\) | 1.67186 | − | 0.265031i | 0.0552699 | − | 0.00876167i | ||||
\(916\) | −2.90417 | + | 19.3835i | −0.0959565 | + | 0.640449i | ||||
\(917\) | −16.4120 | − | 16.4120i | −0.541971 | − | 0.541971i | ||||
\(918\) | 4.77791 | − | 4.11538i | 0.157694 | − | 0.135828i | ||||
\(919\) | −35.6594 | −1.17630 | −0.588148 | − | 0.808753i | \(-0.700143\pi\) | ||||
−0.588148 | + | 0.808753i | \(0.700143\pi\) | |||||||
\(920\) | 1.96039 | − | 1.71778i | 0.0646321 | − | 0.0566335i | ||||
\(921\) | 4.01340 | 0.132246 | ||||||||
\(922\) | 24.8083 | − | 21.3683i | 0.817018 | − | 0.703726i | ||||
\(923\) | 12.2178 | + | 12.2178i | 0.402153 | + | 0.402153i | ||||
\(924\) | 0.932286 | + | 0.139682i | 0.0306700 | + | 0.00459518i | ||||
\(925\) | 13.6634 | − | 26.8341i | 0.449248 | − | 0.882298i | ||||
\(926\) | 39.7557 | + | 2.96171i | 1.30645 | + | 0.0973278i | ||||
\(927\) | −25.1285 | − | 25.1285i | −0.825329 | − | 0.825329i | ||||
\(928\) | −1.13464 | − | 2.58511i | −0.0372464 | − | 0.0848605i | ||||
\(929\) | − | 33.2135i | − | 1.08970i | −0.838533 | − | 0.544850i | \(-0.816586\pi\) | ||
0.838533 | − | 0.544850i | \(-0.183414\pi\) | |||||||
\(930\) | −0.574831 | − | 0.486676i | −0.0188495 | − | 0.0159587i | ||||
\(931\) | −1.12460 | −0.0368571 | ||||||||
\(932\) | 20.1174 | − | 14.8746i | 0.658967 | − | 0.487235i | ||||
\(933\) | −1.77991 | + | 1.77991i | −0.0582716 | + | 0.0582716i | ||||
\(934\) | −23.1273 | − | 1.72293i | −0.756749 | − | 0.0563760i | ||||
\(935\) | −23.9215 | + | 3.79215i | −0.782315 | + | 0.124017i | ||||
\(936\) | 16.7157 | + | 3.79207i | 0.546370 | + | 0.123948i | ||||
\(937\) | 0.950228 | − | 0.950228i | 0.0310426 | − | 0.0310426i | −0.691415 | − | 0.722458i | \(-0.743012\pi\) |
0.722458 | + | 0.691415i | \(0.243012\pi\) | |||||||
\(938\) | −8.11223 | − | 9.41821i | −0.264874 | − | 0.307515i | ||||
\(939\) | − | 2.33575i | − | 0.0762243i | ||||||
\(940\) | −54.3412 | + | 0.461713i | −1.77241 | + | 0.0150594i | ||||
\(941\) | 35.6587i | 1.16244i | 0.813746 | + | 0.581221i | \(0.197425\pi\) | ||||
−0.813746 | + | 0.581221i | \(0.802575\pi\) | |||||||
\(942\) | 1.36355 | − | 1.17447i | 0.0444267 | − | 0.0382663i | ||||
\(943\) | −1.51515 | + | 1.51515i | −0.0493401 | + | 0.0493401i | ||||
\(944\) | 6.38472 | − | 20.8287i | 0.207805 | − | 0.677916i | ||||
\(945\) | 3.03583 | + | 2.20502i | 0.0987556 | + | 0.0717294i | ||||
\(946\) | −0.575795 | + | 7.72904i | −0.0187207 | + | 0.251293i | ||||
\(947\) | −15.3043 | + | 15.3043i | −0.497321 | + | 0.497321i | −0.910603 | − | 0.413282i | \(-0.864382\pi\) |
0.413282 | + | 0.910603i | \(0.364382\pi\) | |||||||
\(948\) | 0.132567 | − | 0.0980192i | 0.00430559 | − | 0.00318352i | ||||
\(949\) | −25.1746 | −0.817201 | ||||||||
\(950\) | 6.04547 | + | 3.66773i | 0.196141 | + | 0.118997i | ||||
\(951\) | 2.38943i | 0.0774825i | ||||||||
\(952\) | 37.3600 | − | 23.5436i | 1.21084 | − | 0.763053i | ||||
\(953\) | 17.6358 | + | 17.6358i | 0.571280 | + | 0.571280i | 0.932486 | − | 0.361206i | \(-0.117635\pi\) |
−0.361206 | + | 0.932486i | \(0.617635\pi\) | |||||||
\(954\) | 0.905943 | − | 12.1607i | 0.0293310 | − | 0.393717i | ||||
\(955\) | 27.3982 | − | 37.7212i | 0.886584 | − | 1.22063i | ||||
\(956\) | 4.16421 | − | 27.7935i | 0.134680 | − | 0.898905i | ||||
\(957\) | 0.0686224 | + | 0.0686224i | 0.00221825 | + | 0.00221825i | ||||
\(958\) | 23.2614 | + | 27.0062i | 0.751542 | + | 0.872532i | ||||
\(959\) | −13.9386 | −0.450102 | ||||||||
\(960\) | −1.98280 | − | 0.589414i | −0.0639944 | − | 0.0190232i | ||||
\(961\) | 26.7575 | 0.863146 | ||||||||
\(962\) | −11.2784 | − | 13.0940i | −0.363629 | − | 0.422169i | ||||
\(963\) | 28.1492 | + | 28.1492i | 0.907094 | + | 0.907094i | ||||
\(964\) | 1.75863 | − | 11.7378i | 0.0566417 | − | 0.378048i | ||||
\(965\) | 7.88649 | + | 49.7491i | 0.253875 | + | 1.60148i | ||||
\(966\) | 0.0121365 | − | 0.162911i | 0.000390486 | − | 0.00524159i | ||||
\(967\) | 5.06230 | + | 5.06230i | 0.162793 | + | 0.162793i | 0.783803 | − | 0.621010i | \(-0.213277\pi\) |
−0.621010 | + | 0.783803i | \(0.713277\pi\) | |||||||
\(968\) | 19.5552 | − | 12.3233i | 0.628526 | − | 0.396086i | ||||
\(969\) | − | 0.744821i | − | 0.0239271i | ||||||
\(970\) | −33.2454 | − | 28.1470i | −1.06745 | − | 0.903746i | ||||
\(971\) | −47.9083 | −1.53745 | −0.768725 | − | 0.639579i | \(-0.779109\pi\) | ||||
−0.768725 | + | 0.639579i | \(0.779109\pi\) | |||||||
\(972\) | 4.99109 | − | 3.69037i | 0.160089 | − | 0.118369i | ||||
\(973\) | 21.6851 | − | 21.6851i | 0.695194 | − | 0.695194i | ||||
\(974\) | 1.75282 | − | 23.5285i | 0.0561638 | − | 0.753901i | ||||
\(975\) | 0.362832 | + | 1.11564i | 0.0116199 | + | 0.0357290i | ||||
\(976\) | 7.67453 | − | 25.0364i | 0.245656 | − | 0.801396i | ||||
\(977\) | −8.23886 | + | 8.23886i | −0.263584 | + | 0.263584i | −0.826509 | − | 0.562924i | \(-0.809676\pi\) |
0.562924 | + | 0.826509i | \(0.309676\pi\) | |||||||
\(978\) | 0.861582 | − | 0.742110i | 0.0275503 | − | 0.0237301i | ||||
\(979\) | − | 18.8922i | − | 0.603797i | ||||||
\(980\) | −3.58637 | − | 3.52594i | −0.114562 | − | 0.112632i | ||||
\(981\) | − | 33.9015i | − | 1.08239i | ||||||
\(982\) | −24.2520 | − | 28.1562i | −0.773911 | − | 0.898502i | ||||
\(983\) | 17.5737 | − | 17.5737i | 0.560513 | − | 0.560513i | −0.368940 | − | 0.929453i | \(-0.620279\pi\) |
0.929453 | + | 0.368940i | \(0.120279\pi\) | |||||||
\(984\) | 1.65836 | + | 0.376211i | 0.0528667 | + | 0.0119932i | ||||
\(985\) | 1.22555 | + | 7.73095i | 0.0390493 | + | 0.246329i | ||||
\(986\) | 4.53351 | + | 0.337736i | 0.144376 | + | 0.0107557i | ||||
\(987\) | −2.40837 | + | 2.40837i | −0.0766594 | + | 0.0766594i | ||||
\(988\) | 3.26304 | − | 2.41267i | 0.103811 | − | 0.0767571i | ||||
\(989\) | 1.34311 | 0.0427083 | ||||||||
\(990\) | −15.8278 | + | 1.31444i | −0.503039 | + | 0.0417758i | ||||
\(991\) | − | 37.6241i | − | 1.19517i | −0.801806 | − | 0.597585i | \(-0.796127\pi\) | ||
0.801806 | − | 0.597585i | \(-0.203873\pi\) | |||||||
\(992\) | −10.6691 | + | 4.68284i | −0.338746 | + | 0.148680i | ||||
\(993\) | 1.14849 | + | 1.14849i | 0.0364463 | + | 0.0364463i | ||||
\(994\) | 29.1101 | + | 2.16864i | 0.923317 | + | 0.0687850i | ||||
\(995\) | −27.0323 | − | 19.6344i | −0.856982 | − | 0.622454i | ||||
\(996\) | −4.01439 | − | 0.601464i | −0.127201 | − | 0.0190581i | ||||
\(997\) | −1.69631 | − | 1.69631i | −0.0537228 | − | 0.0537228i | 0.679735 | − | 0.733458i | \(-0.262095\pi\) |
−0.733458 | + | 0.679735i | \(0.762095\pi\) | |||||||
\(998\) | 30.6473 | − | 26.3976i | 0.970125 | − | 0.835602i | ||||
\(999\) | −4.16915 | −0.131906 |
(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 | 760.2.w.d.723.40 | yes | 108 | |
5.2 | odd | 4 | inner | 760.2.w.d.267.12 | ✓ | 108 | |
8.3 | odd | 2 | inner | 760.2.w.d.723.12 | yes | 108 | |
40.27 | even | 4 | inner | 760.2.w.d.267.40 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
760.2.w.d.267.12 | ✓ | 108 | 5.2 | odd | 4 | inner | |
760.2.w.d.267.40 | yes | 108 | 40.27 | even | 4 | inner | |
760.2.w.d.723.12 | yes | 108 | 8.3 | odd | 2 | inner | |
760.2.w.d.723.40 | yes | 108 | 1.1 | even | 1 | trivial |