Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.12 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.a.184.12 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.701743 | − | 1.82810i | 0.496207 | − | 1.29266i | −0.425563 | − | 0.904929i | \(-0.639924\pi\) |
0.921771 | − | 0.387736i | \(-0.126743\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | −1.36323 | − | 1.22746i | −0.681614 | − | 0.613728i | ||||
\(5\) | 2.43001 | + | 0.384875i | 1.08673 | + | 0.172122i | 0.674000 | − | 0.738731i | \(-0.264575\pi\) |
0.412732 | + | 0.910853i | \(0.364575\pi\) | |||||||
\(6\) | −1.82810 | + | 0.701743i | −0.746320 | + | 0.286485i | ||||
\(7\) | 1.54304 | − | 0.0808673i | 0.583215 | − | 0.0305650i | 0.241552 | − | 0.970388i | \(-0.422343\pi\) |
0.341662 | + | 0.939823i | \(0.389010\pi\) | |||||||
\(8\) | 0.288919 | − | 0.147212i | 0.102148 | − | 0.0520472i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 2.40883 | − | 4.17222i | 0.761740 | − | 1.31937i | ||||
\(11\) | 0.776064 | − | 3.22455i | 0.233992 | − | 0.972238i | ||||
\(12\) | 1.83441i | 0.529547i | ||||||||
\(13\) | −0.441468 | + | 3.57842i | −0.122441 | + | 0.992476i | ||||
\(14\) | 0.934984 | − | 2.87759i | 0.249885 | − | 0.769067i | ||||
\(15\) | −1.33997 | − | 2.06338i | −0.345980 | − | 0.532762i | ||||
\(16\) | −0.449866 | − | 4.28019i | −0.112467 | − | 1.07005i | ||||
\(17\) | 1.13369 | + | 0.504749i | 0.274959 | + | 0.122420i | 0.539584 | − | 0.841932i | \(-0.318582\pi\) |
−0.264625 | + | 0.964351i | \(0.585248\pi\) | |||||||
\(18\) | 1.74474 | + | 0.888988i | 0.411238 | + | 0.209536i | ||||
\(19\) | −0.969577 | + | 1.49302i | −0.222436 | + | 0.342522i | −0.932216 | − | 0.361901i | \(-0.882128\pi\) |
0.709780 | + | 0.704423i | \(0.248794\pi\) | |||||||
\(20\) | −2.84024 | − | 3.50740i | −0.635097 | − | 0.784279i | ||||
\(21\) | −1.09259 | − | 1.09259i | −0.238423 | − | 0.238423i | ||||
\(22\) | −5.35021 | − | 3.68153i | −1.14067 | − | 0.784905i | ||||
\(23\) | −3.90794 | − | 2.25625i | −0.814861 | − | 0.470460i | 0.0337799 | − | 0.999429i | \(-0.489245\pi\) |
−0.848641 | + | 0.528969i | \(0.822579\pi\) | |||||||
\(24\) | −0.302725 | − | 0.116205i | −0.0617934 | − | 0.0237203i | ||||
\(25\) | 1.00152 | + | 0.325415i | 0.200305 | + | 0.0650830i | ||||
\(26\) | 6.23193 | + | 3.31818i | 1.22218 | + | 0.650749i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | −2.20278 | − | 1.78377i | −0.416286 | − | 0.337102i | ||||
\(29\) | −0.884413 | + | 4.16084i | −0.164231 | + | 0.772648i | 0.816509 | + | 0.577333i | \(0.195906\pi\) |
−0.980740 | + | 0.195315i | \(0.937427\pi\) | |||||||
\(30\) | −4.71239 | + | 1.00165i | −0.860360 | + | 0.182875i | ||||
\(31\) | 0.00795757 | + | 0.0502421i | 0.00142922 | + | 0.00902375i | 0.988393 | − | 0.151921i | \(-0.0485459\pi\) |
−0.986963 | + | 0.160945i | \(0.948546\pi\) | |||||||
\(32\) | −7.51390 | − | 2.01334i | −1.32828 | − | 0.355912i | ||||
\(33\) | −2.91560 | + | 1.58092i | −0.507540 | + | 0.275202i | ||||
\(34\) | 1.71829 | − | 1.71829i | 0.294684 | − | 0.294684i | ||||
\(35\) | 3.78072 | + | 0.397370i | 0.639059 | + | 0.0671678i | ||||
\(36\) | 1.36323 | − | 1.22746i | 0.227205 | − | 0.204576i | ||||
\(37\) | −7.52985 | + | 4.88994i | −1.23790 | + | 0.803902i | −0.986465 | − | 0.163973i | \(-0.947569\pi\) |
−0.251435 | + | 0.967874i | \(0.580902\pi\) | |||||||
\(38\) | 2.04900 | + | 2.82020i | 0.332391 | + | 0.457497i | ||||
\(39\) | 2.95469 | − | 2.06636i | 0.473128 | − | 0.330882i | ||||
\(40\) | 0.758735 | − | 0.246528i | 0.119966 | − | 0.0389795i | ||||
\(41\) | 0.828749 | + | 0.0434329i | 0.129429 | + | 0.00678308i | 0.116940 | − | 0.993139i | \(-0.462691\pi\) |
0.0124885 | + | 0.999922i | \(0.496025\pi\) | |||||||
\(42\) | −2.76409 | + | 1.23065i | −0.426508 | + | 0.189894i | ||||
\(43\) | −3.64607 | − | 6.31518i | −0.556021 | − | 0.963056i | −0.997823 | − | 0.0659440i | \(-0.978994\pi\) |
0.441802 | − | 0.897112i | \(-0.354339\pi\) | |||||||
\(44\) | −5.01595 | + | 3.44321i | −0.756183 | + | 0.519084i | ||||
\(45\) | −0.636772 | + | 2.37647i | −0.0949244 | + | 0.354263i | ||||
\(46\) | −6.86702 | + | 5.56081i | −1.01249 | + | 0.819896i | ||||
\(47\) | 4.77296 | + | 9.36746i | 0.696208 | + | 1.36638i | 0.920066 | + | 0.391763i | \(0.128135\pi\) |
−0.223859 | + | 0.974622i | \(0.571865\pi\) | |||||||
\(48\) | −2.87978 | + | 3.19832i | −0.415661 | + | 0.461638i | ||||
\(49\) | −4.58722 | + | 0.482136i | −0.655317 | + | 0.0688766i | ||||
\(50\) | 1.29771 | − | 1.60253i | 0.183523 | − | 0.226632i | ||||
\(51\) | −0.383482 | − | 1.18024i | −0.0536982 | − | 0.165266i | ||||
\(52\) | 4.99418 | − | 4.33633i | 0.692568 | − | 0.601340i | ||||
\(53\) | 5.80214 | + | 4.21550i | 0.796985 | + | 0.579043i | 0.910028 | − | 0.414547i | \(-0.136060\pi\) |
−0.113043 | + | 0.993590i | \(0.536060\pi\) | |||||||
\(54\) | −0.506810 | − | 1.89144i | −0.0689681 | − | 0.257393i | ||||
\(55\) | 3.12689 | − | 7.53699i | 0.421630 | − | 1.01629i | ||||
\(56\) | 0.433910 | − | 0.250518i | 0.0579836 | − | 0.0334769i | ||||
\(57\) | 1.75830 | − | 0.278488i | 0.232893 | − | 0.0368866i | ||||
\(58\) | 6.98581 | + | 4.53664i | 0.917282 | + | 0.595690i | ||||
\(59\) | 0.234131 | + | 4.46748i | 0.0304812 | + | 0.581616i | 0.970590 | + | 0.240740i | \(0.0773902\pi\) |
−0.940108 | + | 0.340876i | \(0.889276\pi\) | |||||||
\(60\) | −0.706017 | + | 4.45762i | −0.0911464 | + | 0.575476i | ||||
\(61\) | 5.00378 | − | 11.2387i | 0.640669 | − | 1.43897i | −0.242613 | − | 0.970123i | \(-0.578005\pi\) |
0.883282 | − | 0.468842i | \(-0.155329\pi\) | |||||||
\(62\) | 0.0974320 | + | 0.0207098i | 0.0123739 | + | 0.00263015i | ||||
\(63\) | −0.0808673 | + | 1.54304i | −0.0101883 | + | 0.194405i | ||||
\(64\) | −3.89404 | + | 5.35969i | −0.486755 | + | 0.669961i | ||||
\(65\) | −2.45002 | + | 8.52568i | −0.303887 | + | 1.05748i | ||||
\(66\) | 0.844080 | + | 6.43941i | 0.103899 | + | 0.792636i | ||||
\(67\) | 9.31700 | − | 2.49648i | 1.13825 | − | 0.304994i | 0.360005 | − | 0.932950i | \(-0.382775\pi\) |
0.778248 | + | 0.627956i | \(0.216108\pi\) | |||||||
\(68\) | −0.925914 | − | 2.07964i | −0.112284 | − | 0.252193i | ||||
\(69\) | 0.938201 | + | 4.41389i | 0.112946 | + | 0.531370i | ||||
\(70\) | 3.37953 | − | 6.63270i | 0.403931 | − | 0.792760i | ||||
\(71\) | 2.07919 | + | 5.41647i | 0.246754 | + | 0.642817i | 0.999887 | − | 0.0150521i | \(-0.00479141\pi\) |
−0.753132 | + | 0.657869i | \(0.771458\pi\) | |||||||
\(72\) | 0.116205 | + | 0.302725i | 0.0136949 | + | 0.0356764i | ||||
\(73\) | 2.27685 | − | 4.46857i | 0.266485 | − | 0.523006i | −0.718525 | − | 0.695501i | \(-0.755183\pi\) |
0.985011 | + | 0.172494i | \(0.0551826\pi\) | |||||||
\(74\) | 3.65530 | + | 17.1968i | 0.424920 | + | 1.99909i | ||||
\(75\) | −0.428320 | − | 0.962023i | −0.0494582 | − | 0.111085i | ||||
\(76\) | 3.15437 | − | 0.845211i | 0.361831 | − | 0.0969524i | ||||
\(77\) | 0.936738 | − | 5.03837i | 0.106751 | − | 0.574176i | ||||
\(78\) | −1.70408 | − | 6.85152i | −0.192950 | − | 0.775782i | ||||
\(79\) | −4.22370 | + | 5.81342i | −0.475203 | + | 0.654061i | −0.977574 | − | 0.210591i | \(-0.932461\pi\) |
0.502371 | + | 0.864652i | \(0.332461\pi\) | |||||||
\(80\) | 0.554162 | − | 10.5740i | 0.0619572 | − | 1.18221i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 0.660969 | − | 1.48456i | 0.0729918 | − | 0.163942i | ||||
\(83\) | 2.24274 | − | 14.1601i | 0.246172 | − | 1.55427i | −0.486494 | − | 0.873684i | \(-0.661724\pi\) |
0.732666 | − | 0.680588i | \(-0.238276\pi\) | |||||||
\(84\) | 0.148343 | + | 2.83056i | 0.0161856 | + | 0.308840i | ||||
\(85\) | 2.56060 | + | 1.66287i | 0.277736 | + | 0.180364i | ||||
\(86\) | −14.1034 | + | 2.23376i | −1.52081 | + | 0.240873i | ||||
\(87\) | 3.68389 | − | 2.12690i | 0.394955 | − | 0.228027i | ||||
\(88\) | −0.250472 | − | 1.04588i | −0.0267004 | − | 0.111491i | ||||
\(89\) | 2.43463 | + | 9.08617i | 0.258070 | + | 0.963132i | 0.966357 | + | 0.257206i | \(0.0828020\pi\) |
−0.708286 | + | 0.705925i | \(0.750531\pi\) | |||||||
\(90\) | 3.89757 | + | 2.83175i | 0.410840 | + | 0.298493i | ||||
\(91\) | −0.391825 | + | 5.55735i | −0.0410744 | + | 0.582569i | ||||
\(92\) | 2.55796 | + | 7.87261i | 0.266686 | + | 0.820776i | ||||
\(93\) | 0.0320125 | − | 0.0395322i | 0.00331954 | − | 0.00409930i | ||||
\(94\) | 20.4741 | − | 2.15191i | 2.11174 | − | 0.221953i | ||||
\(95\) | −2.93071 | + | 3.25488i | −0.300684 | + | 0.333944i | ||||
\(96\) | 3.53157 | + | 6.93110i | 0.360440 | + | 0.707403i | ||||
\(97\) | −6.12344 | + | 4.95866i | −0.621741 | + | 0.503476i | −0.887648 | − | 0.460523i | \(-0.847662\pi\) |
0.265907 | + | 0.963999i | \(0.414329\pi\) | |||||||
\(98\) | −2.33765 | + | 8.72424i | −0.236139 | + | 0.881282i | ||||
\(99\) | 3.12577 | + | 1.10887i | 0.314151 | + | 0.111446i | ||||
\(100\) | −0.965874 | − | 1.67294i | −0.0965874 | − | 0.167294i | ||||
\(101\) | 0.595758 | − | 0.265248i | 0.0592801 | − | 0.0263932i | −0.376882 | − | 0.926261i | \(-0.623004\pi\) |
0.436163 | + | 0.899868i | \(0.356337\pi\) | |||||||
\(102\) | −2.42670 | − | 0.127178i | −0.240279 | − | 0.0125925i | ||||
\(103\) | 2.30486 | − | 0.748894i | 0.227105 | − | 0.0737907i | −0.193254 | − | 0.981149i | \(-0.561904\pi\) |
0.420359 | + | 0.907358i | \(0.361904\pi\) | |||||||
\(104\) | 0.399237 | + | 1.09887i | 0.0391485 | + | 0.107753i | ||||
\(105\) | −2.23449 | − | 3.07552i | −0.218064 | − | 0.300140i | ||||
\(106\) | 11.7780 | − | 7.64871i | 1.14398 | − | 0.742908i | ||||
\(107\) | −4.89733 | + | 4.40957i | −0.473442 | + | 0.426289i | −0.870996 | − | 0.491289i | \(-0.836526\pi\) |
0.397554 | + | 0.917579i | \(0.369859\pi\) | |||||||
\(108\) | −1.82436 | − | 0.191748i | −0.175549 | − | 0.0184509i | ||||
\(109\) | −10.7491 | + | 10.7491i | −1.02958 | + | 1.02958i | −0.0300289 | + | 0.999549i | \(0.509560\pi\) |
−0.999549 | + | 0.0300289i | \(0.990440\pi\) | |||||||
\(110\) | −11.5841 | − | 11.0053i | −1.10450 | − | 1.04932i | ||||
\(111\) | 8.67239 | + | 2.32376i | 0.823147 | + | 0.220562i | ||||
\(112\) | −1.04029 | − | 6.56813i | −0.0982981 | − | 0.620630i | ||||
\(113\) | 13.4595 | − | 2.86090i | 1.26616 | − | 0.269131i | 0.474591 | − | 0.880207i | \(-0.342596\pi\) |
0.791572 | + | 0.611075i | \(0.209263\pi\) | |||||||
\(114\) | 0.724772 | − | 3.40979i | 0.0678812 | − | 0.319356i | ||||
\(115\) | −8.62794 | − | 6.98677i | −0.804560 | − | 0.651520i | ||||
\(116\) | 6.31290 | − | 4.58659i | 0.586138 | − | 0.425854i | ||||
\(117\) | −3.51267 | − | 0.813096i | −0.324747 | − | 0.0751708i | ||||
\(118\) | 8.33131 | + | 2.70701i | 0.766959 | + | 0.249200i | ||||
\(119\) | 1.79014 | + | 0.687170i | 0.164102 | + | 0.0629928i | ||||
\(120\) | −0.690898 | − | 0.398890i | −0.0630701 | − | 0.0364135i | ||||
\(121\) | −9.79545 | − | 5.00492i | −0.890495 | − | 0.454992i | ||||
\(122\) | −17.0341 | − | 17.0341i | −1.54219 | − | 1.54219i | ||||
\(123\) | −0.522265 | − | 0.644943i | −0.0470910 | − | 0.0581526i | ||||
\(124\) | 0.0508220 | − | 0.0782591i | 0.00456395 | − | 0.00702787i | ||||
\(125\) | −8.65224 | − | 4.40854i | −0.773880 | − | 0.394311i | ||||
\(126\) | 2.76409 | + | 1.23065i | 0.246245 | + | 0.109635i | ||||
\(127\) | −1.32125 | − | 12.5709i | −0.117242 | − | 1.11549i | −0.882027 | − | 0.471199i | \(-0.843821\pi\) |
0.764785 | − | 0.644286i | \(-0.222845\pi\) | |||||||
\(128\) | −1.40800 | − | 2.16813i | −0.124451 | − | 0.191638i | ||||
\(129\) | −2.25340 | + | 6.93524i | −0.198401 | + | 0.610614i | ||||
\(130\) | 13.8665 | + | 10.4617i | 1.21618 | + | 0.917554i | ||||
\(131\) | 6.47894i | 0.566068i | 0.959110 | + | 0.283034i | \(0.0913409\pi\) | ||||
−0.959110 | + | 0.283034i | \(0.908659\pi\) | |||||||
\(132\) | 5.91513 | + | 1.42362i | 0.514846 | + | 0.123910i | ||||
\(133\) | −1.37536 | + | 2.38220i | −0.119259 | + | 0.206563i | ||||
\(134\) | 1.97431 | − | 18.7843i | 0.170555 | − | 1.62272i | ||||
\(135\) | 2.19214 | − | 1.11695i | 0.188669 | − | 0.0961319i | ||||
\(136\) | 0.401849 | − | 0.0210600i | 0.0344582 | − | 0.00180588i | ||||
\(137\) | 7.41810 | − | 2.84754i | 0.633771 | − | 0.243282i | −0.0202065 | − | 0.999796i | \(-0.506432\pi\) |
0.653978 | + | 0.756514i | \(0.273099\pi\) | |||||||
\(138\) | 8.72742 | + | 1.38229i | 0.742927 | + | 0.117668i | ||||
\(139\) | 6.81635 | + | 6.13747i | 0.578156 | + | 0.520574i | 0.905508 | − | 0.424329i | \(-0.139490\pi\) |
−0.327353 | + | 0.944902i | \(0.606156\pi\) | |||||||
\(140\) | −4.66624 | − | 5.18238i | −0.394369 | − | 0.437991i | ||||
\(141\) | 3.76765 | − | 9.81505i | 0.317293 | − | 0.826577i | ||||
\(142\) | 11.3609 | 0.953388 | ||||||||
\(143\) | 11.1962 | + | 4.20062i | 0.936273 | + | 0.351273i | ||||
\(144\) | 4.30377 | 0.358647 | ||||||||
\(145\) | −3.75053 | + | 9.77047i | −0.311465 | + | 0.811394i | ||||
\(146\) | −6.57124 | − | 7.29810i | −0.543840 | − | 0.603995i | ||||
\(147\) | 3.42774 | + | 3.08636i | 0.282716 | + | 0.254558i | ||||
\(148\) | 16.2671 | + | 2.57646i | 1.33715 | + | 0.211783i | ||||
\(149\) | −11.0167 | + | 4.22891i | −0.902521 | + | 0.346445i | −0.764983 | − | 0.644051i | \(-0.777252\pi\) |
−0.137539 | + | 0.990496i | \(0.543919\pi\) | |||||||
\(150\) | −2.05925 | + | 0.107921i | −0.168137 | + | 0.00881168i | ||||
\(151\) | −4.26190 | + | 2.17155i | −0.346829 | + | 0.176718i | −0.618723 | − | 0.785609i | \(-0.712350\pi\) |
0.271895 | + | 0.962327i | \(0.412350\pi\) | |||||||
\(152\) | −0.0603399 | + | 0.574095i | −0.00489421 | + | 0.0465653i | ||||
\(153\) | −0.620486 | + | 1.07471i | −0.0501634 | + | 0.0868855i | ||||
\(154\) | −8.55331 | − | 5.24810i | −0.689246 | − | 0.422904i | ||||
\(155\) | 0.125151i | 0.0100524i | ||||||||
\(156\) | −6.56428 | − | 0.809830i | −0.525563 | − | 0.0648383i | ||||
\(157\) | −7.47085 | + | 22.9929i | −0.596239 | + | 1.83503i | −0.0477769 | + | 0.998858i | \(0.515214\pi\) |
−0.548462 | + | 0.836176i | \(0.684786\pi\) | |||||||
\(158\) | 7.66359 | + | 11.8009i | 0.609682 | + | 0.938828i | ||||
\(159\) | −0.749661 | − | 7.13255i | −0.0594520 | − | 0.565648i | ||||
\(160\) | −17.4839 | − | 7.78435i | −1.38223 | − | 0.615407i | ||||
\(161\) | −6.21256 | − | 3.16546i | −0.489619 | − | 0.249473i | ||||
\(162\) | −1.06649 | + | 1.64225i | −0.0837916 | + | 0.129028i | ||||
\(163\) | 12.1355 | + | 14.9861i | 0.950526 | + | 1.17380i | 0.984678 | + | 0.174385i | \(0.0557937\pi\) |
−0.0341519 | + | 0.999417i | \(0.510873\pi\) | |||||||
\(164\) | −1.07646 | − | 1.07646i | −0.0840576 | − | 0.0840576i | ||||
\(165\) | −7.69338 | + | 2.71950i | −0.598929 | + | 0.211713i | ||||
\(166\) | −24.3123 | − | 14.0367i | −1.88700 | − | 1.08946i | ||||
\(167\) | 3.39250 | + | 1.30226i | 0.262520 | + | 0.100772i | 0.486068 | − | 0.873921i | \(-0.338431\pi\) |
−0.223548 | + | 0.974693i | \(0.571764\pi\) | |||||||
\(168\) | −0.476514 | − | 0.154829i | −0.0367638 | − | 0.0119453i | ||||
\(169\) | −12.6102 | − | 3.15952i | −0.970016 | − | 0.243040i | ||||
\(170\) | 4.83678 | − | 3.51413i | 0.370964 | − | 0.269521i | ||||
\(171\) | −1.38349 | − | 1.12033i | −0.105798 | − | 0.0856737i | ||||
\(172\) | −2.78118 | + | 13.0844i | −0.212063 | + | 0.997679i | ||||
\(173\) | −15.3387 | + | 3.26034i | −1.16618 | + | 0.247879i | −0.750021 | − | 0.661414i | \(-0.769957\pi\) |
−0.416157 | + | 0.909293i | \(0.636623\pi\) | |||||||
\(174\) | −1.30304 | − | 8.22707i | −0.0987832 | − | 0.623693i | ||||
\(175\) | 1.57171 | + | 0.421138i | 0.118810 | + | 0.0318351i | ||||
\(176\) | −14.1508 | − | 1.87109i | −1.06666 | − | 0.141038i | ||||
\(177\) | 3.16332 | − | 3.16332i | 0.237770 | − | 0.237770i | ||||
\(178\) | 18.3189 | + | 1.92540i | 1.37306 | + | 0.144315i | ||||
\(179\) | 9.61791 | − | 8.66000i | 0.718876 | − | 0.647279i | −0.226218 | − | 0.974077i | \(-0.572636\pi\) |
0.945094 | + | 0.326798i | \(0.105970\pi\) | |||||||
\(180\) | 3.78507 | − | 2.45806i | 0.282123 | − | 0.183213i | ||||
\(181\) | 4.32044 | + | 5.94657i | 0.321136 | + | 0.442005i | 0.938813 | − | 0.344426i | \(-0.111926\pi\) |
−0.617678 | + | 0.786431i | \(0.711926\pi\) | |||||||
\(182\) | 9.88445 | + | 4.61613i | 0.732684 | + | 0.342170i | ||||
\(183\) | −11.7002 | + | 3.80161i | −0.864900 | + | 0.281023i | ||||
\(184\) | −1.46123 | − | 0.0765796i | −0.107723 | − | 0.00564552i | ||||
\(185\) | −20.1796 | + | 8.98454i | −1.48363 | + | 0.660557i | ||||
\(186\) | −0.0498043 | − | 0.0862636i | −0.00365183 | − | 0.00632516i | ||||
\(187\) | 2.50740 | − | 3.26391i | 0.183359 | − | 0.238681i | ||||
\(188\) | 4.99152 | − | 18.6286i | 0.364044 | − | 1.35863i | ||||
\(189\) | 1.20081 | − | 0.972400i | 0.0873463 | − | 0.0707317i | ||||
\(190\) | 3.89365 | + | 7.64172i | 0.282475 | + | 0.554389i | ||||
\(191\) | −5.04096 | + | 5.59856i | −0.364751 | + | 0.405097i | −0.897385 | − | 0.441249i | \(-0.854536\pi\) |
0.532634 | + | 0.846346i | \(0.321202\pi\) | |||||||
\(192\) | 6.58865 | − | 0.692495i | 0.475495 | − | 0.0499765i | ||||
\(193\) | 6.20460 | − | 7.66204i | 0.446617 | − | 0.551526i | −0.503266 | − | 0.864131i | \(-0.667869\pi\) |
0.949883 | + | 0.312606i | \(0.101202\pi\) | |||||||
\(194\) | 4.76787 | + | 14.6740i | 0.342313 | + | 1.05353i | ||||
\(195\) | 7.97520 | − | 3.88408i | 0.571116 | − | 0.278145i | ||||
\(196\) | 6.84523 | + | 4.97335i | 0.488945 | + | 0.355239i | ||||
\(197\) | 1.93965 | + | 7.23888i | 0.138195 | + | 0.515749i | 0.999964 | + | 0.00844938i | \(0.00268955\pi\) |
−0.861770 | + | 0.507300i | \(0.830644\pi\) | |||||||
\(198\) | 4.22061 | − | 4.93608i | 0.299946 | − | 0.350792i | ||||
\(199\) | −7.74324 | + | 4.47056i | −0.548904 | + | 0.316910i | −0.748680 | − | 0.662932i | \(-0.769312\pi\) |
0.199776 | + | 0.979842i | \(0.435979\pi\) | |||||||
\(200\) | 0.337265 | − | 0.0534175i | 0.0238482 | − | 0.00377719i | ||||
\(201\) | −8.08954 | − | 5.25341i | −0.570592 | − | 0.370547i | ||||
\(202\) | −0.0668326 | − | 1.27524i | −0.00470233 | − | 0.0897258i | ||||
\(203\) | −1.02821 | + | 6.49186i | −0.0721662 | + | 0.455639i | ||||
\(204\) | −0.925914 | + | 2.07964i | −0.0648270 | + | 0.145604i | ||||
\(205\) | 1.99715 | + | 0.424507i | 0.139487 | + | 0.0296489i | ||||
\(206\) | 0.248363 | − | 4.73905i | 0.0173043 | − | 0.330185i | ||||
\(207\) | 2.65238 | − | 3.65069i | 0.184353 | − | 0.253740i | ||||
\(208\) | 15.5149 | + | 0.279755i | 1.07577 | + | 0.0193975i | ||||
\(209\) | 4.06186 | + | 4.28513i | 0.280965 | + | 0.296409i | ||||
\(210\) | −7.19041 | + | 1.92666i | −0.496185 | + | 0.132952i | ||||
\(211\) | −0.864078 | − | 1.94075i | −0.0594856 | − | 0.133607i | 0.881357 | − | 0.472451i | \(-0.156631\pi\) |
−0.940842 | + | 0.338844i | \(0.889964\pi\) | |||||||
\(212\) | −2.73530 | − | 12.8686i | −0.187861 | − | 0.883817i | ||||
\(213\) | 2.63397 | − | 5.16946i | 0.180477 | − | 0.354206i | ||||
\(214\) | 4.62449 | + | 12.0472i | 0.316124 | + | 0.823530i | ||||
\(215\) | −6.42943 | − | 16.7492i | −0.438483 | − | 1.14229i | ||||
\(216\) | 0.147212 | − | 0.288919i | 0.0100165 | − | 0.0196585i | ||||
\(217\) | 0.0163418 | + | 0.0768821i | 0.00110935 | + | 0.00521910i | ||||
\(218\) | 12.1074 | + | 27.1936i | 0.820015 | + | 1.84178i | ||||
\(219\) | −4.84430 | + | 1.29803i | −0.327348 | + | 0.0877125i | ||||
\(220\) | −13.5140 | + | 6.43652i | −0.911114 | + | 0.433950i | ||||
\(221\) | −2.30669 | + | 3.83397i | −0.155165 | + | 0.257901i | ||||
\(222\) | 10.3339 | − | 14.2233i | 0.693563 | − | 0.954608i | ||||
\(223\) | 0.269726 | − | 5.14668i | 0.0180622 | − | 0.344647i | −0.974618 | − | 0.223875i | \(-0.928129\pi\) |
0.992680 | − | 0.120773i | \(-0.0385373\pi\) | |||||||
\(224\) | −11.7571 | − | 2.49904i | −0.785552 | − | 0.166974i | ||||
\(225\) | −0.428320 | + | 0.962023i | −0.0285547 | + | 0.0641349i | ||||
\(226\) | 4.21508 | − | 26.6130i | 0.280383 | − | 1.77027i | ||||
\(227\) | −1.46414 | − | 27.9375i | −0.0971785 | − | 1.85428i | −0.419636 | − | 0.907693i | \(-0.637842\pi\) |
0.322457 | − | 0.946584i | \(-0.395491\pi\) | |||||||
\(228\) | −2.73880 | − | 1.77860i | −0.181382 | − | 0.117791i | ||||
\(229\) | −19.0450 | + | 3.01643i | −1.25853 | + | 0.199331i | −0.749840 | − | 0.661619i | \(-0.769869\pi\) |
−0.508688 | + | 0.860951i | \(0.669869\pi\) | |||||||
\(230\) | −18.8271 | + | 10.8699i | −1.24142 | + | 0.716737i | ||||
\(231\) | −4.37104 | + | 2.67520i | −0.287593 | + | 0.176015i | ||||
\(232\) | 0.357000 | + | 1.33234i | 0.0234382 | + | 0.0874726i | ||||
\(233\) | 3.55822 | + | 2.58520i | 0.233107 | + | 0.169362i | 0.698207 | − | 0.715896i | \(-0.253982\pi\) |
−0.465100 | + | 0.885258i | \(0.653982\pi\) | |||||||
\(234\) | −3.95142 | + | 5.85095i | −0.258312 | + | 0.382488i | ||||
\(235\) | 7.99302 | + | 24.6000i | 0.521407 | + | 1.60473i | ||||
\(236\) | 5.16446 | − | 6.37758i | 0.336178 | − | 0.415145i | ||||
\(237\) | 7.14642 | − | 0.751119i | 0.464210 | − | 0.0487904i | ||||
\(238\) | 2.51244 | − | 2.79034i | 0.162857 | − | 0.180871i | ||||
\(239\) | −11.6732 | − | 22.9100i | −0.755078 | − | 1.48192i | −0.872381 | − | 0.488827i | \(-0.837425\pi\) |
0.117303 | − | 0.993096i | \(-0.462575\pi\) | |||||||
\(240\) | −8.22885 | + | 6.66359i | −0.531170 | + | 0.430133i | ||||
\(241\) | 7.62373 | − | 28.4521i | 0.491087 | − | 1.83276i | −0.0598371 | − | 0.998208i | \(-0.519058\pi\) |
0.550925 | − | 0.834555i | \(-0.314275\pi\) | |||||||
\(242\) | −16.0234 | + | 14.3949i | −1.03002 | + | 0.925341i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −20.6163 | + | 9.17896i | −1.31982 | + | 0.587623i | ||||
\(245\) | −11.3325 | − | 0.593913i | −0.724009 | − | 0.0379437i | ||||
\(246\) | −1.54552 | + | 0.502169i | −0.0985386 | + | 0.0320171i | ||||
\(247\) | −4.91461 | − | 4.12868i | −0.312709 | − | 0.262701i | ||||
\(248\) | 0.00969533 | + | 0.0133445i | 0.000615654 | + | 0.000847375i | ||||
\(249\) | −12.0237 | + | 7.80827i | −0.761970 | + | 0.494829i | ||||
\(250\) | −14.1309 | + | 12.7235i | −0.893717 | + | 0.804706i | ||||
\(251\) | 2.07607 | + | 0.218204i | 0.131040 | + | 0.0137729i | 0.169822 | − | 0.985475i | \(-0.445681\pi\) |
−0.0387812 | + | 0.999248i | \(0.512348\pi\) | |||||||
\(252\) | 2.00426 | − | 2.00426i | 0.126256 | − | 0.126256i | ||||
\(253\) | −10.3082 | + | 10.8503i | −0.648071 | + | 0.682155i | ||||
\(254\) | −23.9080 | − | 6.40614i | −1.50012 | − | 0.401957i | ||||
\(255\) | −0.477620 | − | 3.01557i | −0.0299097 | − | 0.188843i | ||||
\(256\) | −17.9120 | + | 3.80731i | −1.11950 | + | 0.237957i | ||||
\(257\) | 2.33998 | − | 11.0087i | 0.145964 | − | 0.686706i | −0.842923 | − | 0.538034i | \(-0.819167\pi\) |
0.988887 | − | 0.148671i | \(-0.0474996\pi\) | |||||||
\(258\) | 11.0970 | + | 8.98620i | 0.690871 | + | 0.559456i | ||||
\(259\) | −11.2234 | + | 8.15430i | −0.697390 | + | 0.506684i | ||||
\(260\) | 13.8048 | − | 8.61517i | 0.856140 | − | 0.534290i | ||||
\(261\) | −4.04560 | − | 1.31449i | −0.250416 | − | 0.0813651i | ||||
\(262\) | 11.8442 | + | 4.54655i | 0.731736 | + | 0.280887i | ||||
\(263\) | 18.0352 | + | 10.4126i | 1.11210 | + | 0.642071i | 0.939373 | − | 0.342898i | \(-0.111409\pi\) |
0.172728 | + | 0.984970i | \(0.444742\pi\) | |||||||
\(264\) | −0.609643 | + | 0.885968i | −0.0375209 | + | 0.0545276i | ||||
\(265\) | 12.4768 | + | 12.4768i | 0.766444 | + | 0.766444i | ||||
\(266\) | 3.38975 | + | 4.18599i | 0.207839 | + | 0.256660i | ||||
\(267\) | 5.12325 | − | 7.88911i | 0.313538 | − | 0.482806i | ||||
\(268\) | −15.7655 | − | 8.03294i | −0.963033 | − | 0.490690i | ||||
\(269\) | 14.7928 | + | 6.58618i | 0.901933 | + | 0.401566i | 0.804691 | − | 0.593694i | \(-0.202331\pi\) |
0.0972421 | + | 0.995261i | \(0.468998\pi\) | |||||||
\(270\) | −0.503583 | − | 4.79127i | −0.0306471 | − | 0.291588i | ||||
\(271\) | −13.1003 | − | 20.1727i | −0.795788 | − | 1.22541i | −0.970575 | − | 0.240800i | \(-0.922590\pi\) |
0.174786 | − | 0.984606i | \(-0.444077\pi\) | |||||||
\(272\) | 1.65042 | − | 5.07946i | 0.100071 | − | 0.307987i | ||||
\(273\) | 4.39210 | − | 3.42741i | 0.265822 | − | 0.207436i | ||||
\(274\) | − | 15.5593i | − | 0.939972i | ||||||
\(275\) | 1.82656 | − | 2.97692i | 0.110146 | − | 0.179515i | ||||
\(276\) | 4.13887 | − | 7.16874i | 0.249131 | − | 0.431507i | ||||
\(277\) | 0.970838 | − | 9.23691i | 0.0583320 | − | 0.554992i | −0.925857 | − | 0.377873i | \(-0.876656\pi\) |
0.984189 | − | 0.177119i | \(-0.0566778\pi\) | |||||||
\(278\) | 16.0033 | − | 8.15407i | 0.959812 | − | 0.489049i | ||||
\(279\) | −0.0507987 | + | 0.00266225i | −0.00304124 | + | 0.000159385i | ||||
\(280\) | 1.15082 | − | 0.441759i | 0.0687748 | − | 0.0264002i | ||||
\(281\) | 28.2853 | + | 4.47995i | 1.68736 | + | 0.267251i | 0.925018 | − | 0.379923i | \(-0.124050\pi\) |
0.762341 | + | 0.647175i | \(0.224050\pi\) | |||||||
\(282\) | −15.2990 | − | 13.7753i | −0.911043 | − | 0.820307i | ||||
\(283\) | −12.4179 | − | 13.7914i | −0.738165 | − | 0.819815i | 0.250789 | − | 0.968042i | \(-0.419310\pi\) |
−0.988953 | + | 0.148227i | \(0.952643\pi\) | |||||||
\(284\) | 3.81407 | − | 9.93600i | 0.226324 | − | 0.589593i | ||||
\(285\) | 4.37987 | 0.259441 | ||||||||
\(286\) | 15.5360 | − | 17.5200i | 0.918664 | − | 1.03598i | ||||
\(287\) | 1.28231 | 0.0756921 | ||||||||
\(288\) | 2.78773 | − | 7.26228i | 0.164269 | − | 0.427934i | ||||
\(289\) | −10.3447 | − | 11.4890i | −0.608515 | − | 0.675824i | ||||
\(290\) | 15.2295 | + | 13.7127i | 0.894309 | + | 0.805239i | ||||
\(291\) | 7.78238 | + | 1.23261i | 0.456211 | + | 0.0722568i | ||||
\(292\) | −8.58884 | + | 3.29695i | −0.502624 | + | 0.192939i | ||||
\(293\) | 8.58081 | − | 0.449701i | 0.501296 | − | 0.0262718i | 0.199987 | − | 0.979798i | \(-0.435910\pi\) |
0.301309 | + | 0.953527i | \(0.402577\pi\) | |||||||
\(294\) | 8.04757 | − | 4.10044i | 0.469344 | − | 0.239143i | ||||
\(295\) | −1.15048 | + | 10.9461i | −0.0669837 | + | 0.637307i | ||||
\(296\) | −1.45566 | + | 2.52128i | −0.0846087 | + | 0.146547i | ||||
\(297\) | −1.26749 | − | 3.06488i | −0.0735475 | − | 0.177842i | ||||
\(298\) | 23.1072i | 1.33857i | ||||||||
\(299\) | 9.79904 | − | 12.9882i | 0.566693 | − | 0.751126i | ||||
\(300\) | −0.596943 | + | 1.83720i | −0.0344645 | + | 0.106071i | ||||
\(301\) | −6.13673 | − | 9.44974i | −0.353715 | − | 0.544674i | ||||
\(302\) | 0.979052 | + | 9.31506i | 0.0563381 | + | 0.536022i | ||||
\(303\) | −0.595758 | − | 0.265248i | −0.0342254 | − | 0.0152381i | ||||
\(304\) | 6.82659 | + | 3.47832i | 0.391532 | + | 0.199495i | ||||
\(305\) | 16.4847 | − | 25.3842i | 0.943912 | − | 1.45350i | ||||
\(306\) | 1.52927 | + | 1.88849i | 0.0874223 | + | 0.107958i | ||||
\(307\) | −17.5870 | − | 17.5870i | −1.00374 | − | 1.00374i | −0.999993 | − | 0.00375052i | \(-0.998806\pi\) |
−0.00375052 | − | 0.999993i | \(-0.501194\pi\) | |||||||
\(308\) | −7.46137 | + | 5.71865i | −0.425151 | + | 0.325850i | ||||
\(309\) | −2.09879 | − | 1.21174i | −0.119396 | − | 0.0689333i | ||||
\(310\) | 0.228790 | + | 0.0878241i | 0.0129944 | + | 0.00498808i | ||||
\(311\) | −12.7674 | − | 4.14839i | −0.723974 | − | 0.235234i | −0.0762289 | − | 0.997090i | \(-0.524288\pi\) |
−0.647745 | + | 0.761857i | \(0.724288\pi\) | |||||||
\(312\) | 0.549474 | − | 1.03198i | 0.0311078 | − | 0.0584241i | ||||
\(313\) | 16.2001 | − | 11.7701i | 0.915684 | − | 0.665284i | −0.0267617 | − | 0.999642i | \(-0.508520\pi\) |
0.942446 | + | 0.334358i | \(0.108520\pi\) | |||||||
\(314\) | 36.7908 | + | 29.7926i | 2.07622 | + | 1.68129i | ||||
\(315\) | −0.790387 | + | 3.71848i | −0.0445332 | + | 0.209512i | ||||
\(316\) | 12.8936 | − | 2.74062i | 0.725321 | − | 0.154172i | ||||
\(317\) | −4.69408 | − | 29.6373i | −0.263646 | − | 1.66459i | −0.663621 | − | 0.748069i | \(-0.730981\pi\) |
0.399975 | − | 0.916526i | \(-0.369019\pi\) | |||||||
\(318\) | −13.5651 | − | 3.63476i | −0.760693 | − | 0.203827i | ||||
\(319\) | 12.7305 | + | 6.08091i | 0.712769 | + | 0.340466i | ||||
\(320\) | −11.5254 | + | 11.5254i | −0.644287 | + | 0.644287i | ||||
\(321\) | 6.55390 | + | 0.688843i | 0.365803 | + | 0.0384475i | ||||
\(322\) | −10.1464 | + | 9.13587i | −0.565437 | + | 0.509122i | ||||
\(323\) | −1.85280 | + | 1.20322i | −0.103092 | + | 0.0669489i | ||||
\(324\) | 1.07824 | + | 1.48406i | 0.0599020 | + | 0.0824481i | ||||
\(325\) | −1.60661 | + | 3.44022i | −0.0891189 | + | 0.190829i | ||||
\(326\) | 35.9121 | − | 11.6686i | 1.98899 | − | 0.646262i | ||||
\(327\) | 15.1807 | + | 0.795587i | 0.839495 | + | 0.0439961i | ||||
\(328\) | 0.245836 | − | 0.109453i | 0.0135740 | − | 0.00604353i | ||||
\(329\) | 8.12239 | + | 14.0684i | 0.447802 | + | 0.775616i | ||||
\(330\) | −0.427248 | + | 15.9727i | −0.0235192 | + | 0.879267i | ||||
\(331\) | 5.39569 | − | 20.1370i | 0.296574 | − | 1.10683i | −0.643385 | − | 0.765543i | \(-0.722471\pi\) |
0.939959 | − | 0.341287i | \(-0.110863\pi\) | |||||||
\(332\) | −20.4383 | + | 16.5506i | −1.12170 | + | 0.908331i | ||||
\(333\) | −4.07607 | − | 7.99974i | −0.223367 | − | 0.438383i | ||||
\(334\) | 4.76133 | − | 5.28799i | 0.260528 | − | 0.289346i | ||||
\(335\) | 23.6012 | − | 2.48059i | 1.28947 | − | 0.135529i | ||||
\(336\) | −4.18498 | + | 5.16802i | −0.228310 | + | 0.281939i | ||||
\(337\) | 8.24232 | + | 25.3672i | 0.448988 | + | 1.38184i | 0.878051 | + | 0.478567i | \(0.158844\pi\) |
−0.429063 | + | 0.903274i | \(0.641156\pi\) | |||||||
\(338\) | −14.6251 | + | 20.8356i | −0.795498 | + | 1.13331i | ||||
\(339\) | −11.1322 | − | 8.08804i | −0.604620 | − | 0.439282i | ||||
\(340\) | −1.44958 | − | 5.40990i | −0.0786144 | − | 0.293393i | ||||
\(341\) | 0.168184 | + | 0.0133315i | 0.00910767 | + | 0.000721943i | ||||
\(342\) | −3.01893 | + | 1.74298i | −0.163245 | + | 0.0942496i | ||||
\(343\) | −17.7222 | + | 2.80692i | −0.956910 | + | 0.151560i | ||||
\(344\) | −1.98309 | − | 1.28783i | −0.106921 | − | 0.0694354i | ||||
\(345\) | 0.581038 | + | 11.0869i | 0.0312821 | + | 0.596897i | ||||
\(346\) | −4.80358 | + | 30.3286i | −0.258242 | + | 1.63048i | ||||
\(347\) | 6.86967 | − | 15.4295i | 0.368783 | − | 0.828300i | −0.629884 | − | 0.776689i | \(-0.716898\pi\) |
0.998667 | − | 0.0516112i | \(-0.0164356\pi\) | |||||||
\(348\) | −7.63266 | − | 1.62237i | −0.409153 | − | 0.0869683i | ||||
\(349\) | −0.289510 | + | 5.52418i | −0.0154971 | + | 0.295703i | 0.979875 | + | 0.199611i | \(0.0639677\pi\) |
−0.995372 | + | 0.0960922i | \(0.969366\pi\) | |||||||
\(350\) | 1.87282 | − | 2.57772i | 0.100106 | − | 0.137785i | ||||
\(351\) | 1.74619 | + | 3.15449i | 0.0932047 | + | 0.168374i | ||||
\(352\) | −12.3234 | + | 22.6665i | −0.656839 | + | 1.20813i | ||||
\(353\) | 15.4595 | − | 4.14237i | 0.822829 | − | 0.220476i | 0.177246 | − | 0.984167i | \(-0.443281\pi\) |
0.645583 | + | 0.763690i | \(0.276615\pi\) | |||||||
\(354\) | −3.56304 | − | 8.00271i | −0.189373 | − | 0.425339i | ||||
\(355\) | 2.96778 | + | 13.9623i | 0.157513 | + | 0.741042i | ||||
\(356\) | 7.83392 | − | 15.3749i | 0.415197 | − | 0.814869i | ||||
\(357\) | −0.687170 | − | 1.79014i | −0.0363689 | − | 0.0947443i | ||||
\(358\) | −9.08208 | − | 23.6596i | −0.480003 | − | 1.25045i | ||||
\(359\) | 4.46325 | − | 8.75962i | 0.235561 | − | 0.462315i | −0.742719 | − | 0.669604i | \(-0.766464\pi\) |
0.978280 | + | 0.207289i | \(0.0664639\pi\) | |||||||
\(360\) | 0.165868 | + | 0.780347i | 0.00874201 | + | 0.0411279i | ||||
\(361\) | 6.43897 | + | 14.4622i | 0.338893 | + | 0.761167i | ||||
\(362\) | 13.9028 | − | 3.72524i | 0.730714 | − | 0.195794i | ||||
\(363\) | 2.83506 | + | 10.6284i | 0.148802 | + | 0.557845i | ||||
\(364\) | 7.35556 | − | 7.09499i | 0.385536 | − | 0.371879i | ||||
\(365\) | 7.25260 | − | 9.98235i | 0.379619 | − | 0.522500i | ||||
\(366\) | −1.26077 | + | 24.0568i | −0.0659013 | + | 1.25747i | ||||
\(367\) | 4.21839 | + | 0.896646i | 0.220198 | + | 0.0468045i | 0.316689 | − | 0.948529i | \(-0.397429\pi\) |
−0.0964914 | + | 0.995334i | \(0.530762\pi\) | |||||||
\(368\) | −7.89913 | + | 17.7417i | −0.411770 | + | 0.924852i | ||||
\(369\) | −0.129823 | + | 0.819669i | −0.00675831 | + | 0.0426703i | ||||
\(370\) | 2.26377 | + | 43.1953i | 0.117688 | + | 2.24561i | ||||
\(371\) | 9.29383 | + | 6.03548i | 0.482512 | + | 0.313347i | ||||
\(372\) | −0.0921644 | + | 0.0145974i | −0.00477850 | + | 0.000756840i | ||||
\(373\) | −11.6699 | + | 6.73764i | −0.604246 | + | 0.348862i | −0.770710 | − | 0.637186i | \(-0.780098\pi\) |
0.166464 | + | 0.986048i | \(0.446765\pi\) | |||||||
\(374\) | −4.20721 | − | 6.87421i | −0.217550 | − | 0.355457i | ||||
\(375\) | 2.51330 | + | 9.37975i | 0.129786 | + | 0.484368i | ||||
\(376\) | 2.75800 | + | 2.00381i | 0.142233 | + | 0.103338i | ||||
\(377\) | −14.4988 | − | 5.00168i | −0.746726 | − | 0.257600i | ||||
\(378\) | −0.934984 | − | 2.87759i | −0.0480904 | − | 0.148007i | ||||
\(379\) | −9.53197 | + | 11.7710i | −0.489624 | + | 0.604636i | −0.960745 | − | 0.277433i | \(-0.910516\pi\) |
0.471121 | + | 0.882069i | \(0.343850\pi\) | |||||||
\(380\) | 7.99045 | − | 0.839830i | 0.409901 | − | 0.0430824i | ||||
\(381\) | −8.45789 | + | 9.39344i | −0.433311 | + | 0.481241i | ||||
\(382\) | 6.69728 | + | 13.1441i | 0.342663 | + | 0.672513i | ||||
\(383\) | 8.72440 | − | 7.06488i | 0.445796 | − | 0.360999i | −0.379982 | − | 0.924994i | \(-0.624070\pi\) |
0.825778 | + | 0.563995i | \(0.190736\pi\) | |||||||
\(384\) | −0.669100 | + | 2.49711i | −0.0341449 | + | 0.127430i | ||||
\(385\) | 4.21542 | − | 11.8828i | 0.214838 | − | 0.605601i | ||||
\(386\) | −9.65296 | − | 16.7194i | −0.491323 | − | 0.850996i | ||||
\(387\) | 6.66171 | − | 2.96598i | 0.338634 | − | 0.150769i | ||||
\(388\) | 14.4342 | + | 0.756464i | 0.732785 | + | 0.0384036i | ||||
\(389\) | −20.8653 | + | 6.77953i | −1.05791 | + | 0.343736i | −0.785768 | − | 0.618521i | \(-0.787732\pi\) |
−0.272142 | + | 0.962257i | \(0.587732\pi\) | |||||||
\(390\) | −1.50396 | − | 17.3051i | −0.0761558 | − | 0.876278i | ||||
\(391\) | −3.29153 | − | 4.53040i | −0.166460 | − | 0.229112i | ||||
\(392\) | −1.25436 | + | 0.814591i | −0.0633548 | + | 0.0411431i | ||||
\(393\) | 4.81479 | − | 4.33526i | 0.242874 | − | 0.218685i | ||||
\(394\) | 14.5946 | + | 1.53395i | 0.735263 | + | 0.0772793i | ||||
\(395\) | −12.5011 | + | 12.5011i | −0.628997 | + | 0.628997i | ||||
\(396\) | −2.90004 | − | 5.34838i | −0.145733 | − | 0.268766i | ||||
\(397\) | 34.4466 | + | 9.22995i | 1.72883 | + | 0.463238i | 0.979912 | − | 0.199429i | \(-0.0639086\pi\) |
0.748915 | + | 0.662666i | \(0.230575\pi\) | |||||||
\(398\) | 2.73888 | + | 17.2926i | 0.137288 | + | 0.866801i | ||||
\(399\) | 2.69061 | − | 0.571907i | 0.134699 | − | 0.0286312i | ||||
\(400\) | 0.942287 | − | 4.43311i | 0.0471143 | − | 0.221656i | ||||
\(401\) | −20.2315 | − | 16.3831i | −1.01031 | − | 0.818135i | −0.0269217 | − | 0.999638i | \(-0.508570\pi\) |
−0.983390 | + | 0.181503i | \(0.941904\pi\) | |||||||
\(402\) | −15.2806 | + | 11.1020i | −0.762125 | + | 0.553716i | ||||
\(403\) | −0.183301 | + | 0.00629528i | −0.00913085 | + | 0.000313590i | ||||
\(404\) | −1.13773 | − | 0.369672i | −0.0566044 | − | 0.0183919i | ||||
\(405\) | −2.29689 | − | 0.881692i | −0.114133 | − | 0.0438116i | ||||
\(406\) | 11.1463 | + | 6.43529i | 0.553179 | + | 0.319378i | ||||
\(407\) | 9.92422 | + | 28.0753i | 0.491925 | + | 1.39164i | ||||
\(408\) | −0.284540 | − | 0.284540i | −0.0140868 | − | 0.0140868i | ||||
\(409\) | 9.30314 | + | 11.4884i | 0.460011 | + | 0.568066i | 0.953387 | − | 0.301750i | \(-0.0975708\pi\) |
−0.493376 | + | 0.869816i | \(0.664237\pi\) | |||||||
\(410\) | 2.17753 | − | 3.35310i | 0.107541 | − | 0.165598i | ||||
\(411\) | −7.07982 | − | 3.60735i | −0.349222 | − | 0.177937i | ||||
\(412\) | −4.06129 | − | 1.80820i | −0.200085 | − | 0.0890837i | ||||
\(413\) | 0.722546 | + | 6.87457i | 0.0355542 | + | 0.338275i | ||||
\(414\) | −4.81254 | − | 7.41067i | −0.236524 | − | 0.364214i | ||||
\(415\) | 10.8997 | − | 33.5460i | 0.535047 | − | 1.64671i | ||||
\(416\) | 10.5217 | − | 25.9991i | 0.515870 | − | 1.27471i | ||||
\(417\) | − | 9.17231i | − | 0.449170i | ||||||
\(418\) | 10.6840 | − | 4.41844i | 0.522574 | − | 0.216113i | ||||
\(419\) | 1.39499 | − | 2.41620i | 0.0681499 | − | 0.118039i | −0.829937 | − | 0.557857i | \(-0.811624\pi\) |
0.898087 | + | 0.439818i | \(0.144957\pi\) | |||||||
\(420\) | −0.728938 | + | 6.93538i | −0.0355685 | + | 0.338412i | ||||
\(421\) | −29.8948 | + | 15.2322i | −1.45698 | + | 0.742370i | −0.989890 | − | 0.141838i | \(-0.954699\pi\) |
−0.467093 | + | 0.884208i | \(0.654699\pi\) | |||||||
\(422\) | −4.15426 | + | 0.217715i | −0.202226 | + | 0.0105982i | ||||
\(423\) | −9.81505 | + | 3.76765i | −0.477224 | + | 0.183189i | ||||
\(424\) | 2.29692 | + | 0.363797i | 0.111548 | + | 0.0176675i | ||||
\(425\) | 0.971161 | + | 0.874437i | 0.0471082 | + | 0.0424164i | ||||
\(426\) | −7.60194 | − | 8.44281i | −0.368315 | − | 0.409056i | ||||
\(427\) | 6.81220 | − | 17.7464i | 0.329665 | − | 0.858808i | ||||
\(428\) | 12.0887 | 0.584331 | ||||||||
\(429\) | −4.37005 | − | 11.1312i | −0.210988 | − | 0.537417i | ||||
\(430\) | −35.1311 | −1.69417 | ||||||||
\(431\) | −2.59470 | + | 6.75943i | −0.124982 | + | 0.325590i | −0.981768 | − | 0.190082i | \(-0.939125\pi\) |
0.856786 | + | 0.515673i | \(0.172458\pi\) | |||||||
\(432\) | −2.87978 | − | 3.19832i | −0.138554 | − | 0.153879i | ||||
\(433\) | −3.60755 | − | 3.24825i | −0.173368 | − | 0.156101i | 0.577879 | − | 0.816122i | \(-0.303881\pi\) |
−0.751247 | + | 0.660021i | \(0.770547\pi\) | |||||||
\(434\) | 0.152016 | + | 0.0240770i | 0.00729701 | + | 0.00115573i | ||||
\(435\) | 9.77047 | − | 3.75053i | 0.468458 | − | 0.179824i | ||||
\(436\) | 27.8476 | − | 1.45943i | 1.33366 | − | 0.0698940i | ||||
\(437\) | 7.15767 | − | 3.64701i | 0.342398 | − | 0.174460i | ||||
\(438\) | −1.02653 | + | 9.76677i | −0.0490494 | + | 0.466674i | ||||
\(439\) | −4.28700 | + | 7.42530i | −0.204607 | + | 0.354390i | −0.950008 | − | 0.312227i | \(-0.898925\pi\) |
0.745400 | + | 0.666617i | \(0.232258\pi\) | |||||||
\(440\) | −0.206115 | − | 2.63790i | −0.00982613 | − | 0.125757i | ||||
\(441\) | − | 4.61249i | − | 0.219642i | ||||||
\(442\) | 5.39020 | + | 6.90733i | 0.256385 | + | 0.328548i | ||||
\(443\) | −5.31484 | + | 16.3574i | −0.252516 | + | 0.777163i | 0.741793 | + | 0.670628i | \(0.233975\pi\) |
−0.994309 | + | 0.106535i | \(0.966025\pi\) | |||||||
\(444\) | −8.97014 | − | 13.8128i | −0.425704 | − | 0.655526i | ||||
\(445\) | 2.41913 | + | 23.0165i | 0.114678 | + | 1.09109i | ||||
\(446\) | −9.21939 | − | 4.10474i | −0.436551 | − | 0.194365i | ||||
\(447\) | 10.5143 | + | 5.35730i | 0.497309 | + | 0.253391i | ||||
\(448\) | −5.57524 | + | 8.58512i | −0.263405 | + | 0.405609i | ||||
\(449\) | −9.06878 | − | 11.1990i | −0.427982 | − | 0.528514i | 0.516847 | − | 0.856078i | \(-0.327106\pi\) |
−0.944829 | + | 0.327564i | \(0.893772\pi\) | |||||||
\(450\) | 1.45811 | + | 1.45811i | 0.0687358 | + | 0.0687358i | ||||
\(451\) | 0.783214 | − | 2.63864i | 0.0368801 | − | 0.124249i | ||||
\(452\) | −21.8600 | − | 12.6209i | −1.02821 | − | 0.593636i | ||||
\(453\) | 4.46554 | + | 1.71416i | 0.209809 | + | 0.0805383i | ||||
\(454\) | −52.1001 | − | 16.9283i | −2.44518 | − | 0.794487i | ||||
\(455\) | −3.09103 | + | 13.3536i | −0.144910 | + | 0.626027i | ||||
\(456\) | 0.467011 | − | 0.339304i | 0.0218698 | − | 0.0158893i | ||||
\(457\) | 1.65764 | + | 1.34233i | 0.0775412 | + | 0.0627916i | 0.667307 | − | 0.744782i | \(-0.267447\pi\) |
−0.589766 | + | 0.807574i | \(0.700780\pi\) | |||||||
\(458\) | −7.85034 | + | 36.9330i | −0.366823 | + | 1.72576i | ||||
\(459\) | 1.21385 | − | 0.258013i | 0.0566579 | − | 0.0120430i | ||||
\(460\) | 3.18590 | + | 20.1150i | 0.148543 | + | 0.937866i | ||||
\(461\) | 7.10537 | + | 1.90388i | 0.330930 | + | 0.0886724i | 0.420458 | − | 0.907312i | \(-0.361869\pi\) |
−0.0895283 | + | 0.995984i | \(0.528536\pi\) | |||||||
\(462\) | 1.82319 | + | 9.86801i | 0.0848224 | + | 0.459101i | ||||
\(463\) | −4.56430 | + | 4.56430i | −0.212121 | + | 0.212121i | −0.805168 | − | 0.593047i | \(-0.797925\pi\) |
0.593047 | + | 0.805168i | \(0.297925\pi\) | |||||||
\(464\) | 18.2070 | + | 1.91364i | 0.845241 | + | 0.0888384i | ||||
\(465\) | 0.0930056 | − | 0.0837426i | 0.00431303 | − | 0.00388347i | ||||
\(466\) | 7.22297 | − | 4.69065i | 0.334598 | − | 0.217290i | ||||
\(467\) | −18.0180 | − | 24.7996i | −0.833773 | − | 1.14759i | −0.987209 | − | 0.159431i | \(-0.949034\pi\) |
0.153436 | − | 0.988159i | \(-0.450966\pi\) | |||||||
\(468\) | 3.79054 | + | 5.42009i | 0.175218 | + | 0.250544i | ||||
\(469\) | 14.1746 | − | 4.60562i | 0.654524 | − | 0.212668i | ||||
\(470\) | 50.5804 | + | 2.65080i | 2.33310 | + | 0.122273i | ||||
\(471\) | 22.0860 | − | 9.83334i | 1.01767 | − | 0.453096i | ||||
\(472\) | 0.725310 | + | 1.25627i | 0.0333851 | + | 0.0578247i | ||||
\(473\) | −23.1932 | + | 6.85596i | −1.06642 | + | 0.315237i | ||||
\(474\) | 3.64183 | − | 13.5915i | 0.167275 | − | 0.624278i | ||||
\(475\) | −1.45691 | + | 1.17978i | −0.0668475 | + | 0.0541320i | ||||
\(476\) | −1.59690 | − | 3.13409i | −0.0731937 | − | 0.143651i | ||||
\(477\) | −4.79890 | + | 5.32971i | −0.219726 | + | 0.244031i | ||||
\(478\) | −50.0734 | + | 5.26293i | −2.29030 | + | 0.240721i | ||||
\(479\) | −8.19525 | + | 10.1203i | −0.374451 | + | 0.462408i | −0.929183 | − | 0.369621i | \(-0.879487\pi\) |
0.554732 | + | 0.832029i | \(0.312821\pi\) | |||||||
\(480\) | 5.91414 | + | 18.2018i | 0.269942 | + | 0.830797i | ||||
\(481\) | −14.1741 | − | 29.1037i | −0.646283 | − | 1.32702i | ||||
\(482\) | −46.6635 | − | 33.9031i | −2.12547 | − | 1.54424i | ||||
\(483\) | 1.80462 | + | 6.73494i | 0.0821131 | + | 0.306450i | ||||
\(484\) | 7.21012 | + | 18.8463i | 0.327733 | + | 0.856652i | ||||
\(485\) | −16.7885 | + | 9.69282i | −0.762325 | + | 0.440128i | ||||
\(486\) | 1.93406 | − | 0.306324i | 0.0877305 | − | 0.0138952i | ||||
\(487\) | 22.4041 | + | 14.5494i | 1.01522 | + | 0.659294i | 0.941161 | − | 0.337959i | \(-0.109737\pi\) |
0.0740637 | + | 0.997254i | \(0.476403\pi\) | |||||||
\(488\) | −0.208776 | − | 3.98369i | −0.00945086 | − | 0.180333i | ||||
\(489\) | 3.01660 | − | 19.0461i | 0.136416 | − | 0.861294i | ||||
\(490\) | −9.03826 | + | 20.3003i | −0.408307 | + | 0.917073i | ||||
\(491\) | 23.6729 | + | 5.03184i | 1.06834 | + | 0.227084i | 0.708343 | − | 0.705868i | \(-0.249443\pi\) |
0.360001 | + | 0.932952i | \(0.382776\pi\) | |||||||
\(492\) | −0.0796735 | + | 1.52026i | −0.00359196 | + | 0.0685387i | ||||
\(493\) | −3.10282 | + | 4.27067i | −0.139744 | + | 0.192341i | ||||
\(494\) | −10.9964 | + | 6.08715i | −0.494753 | + | 0.273874i | ||||
\(495\) | 7.16886 | + | 3.89759i | 0.322216 | + | 0.175184i | ||||
\(496\) | 0.211466 | − | 0.0566622i | 0.00949511 | − | 0.00254421i | ||||
\(497\) | 3.64629 | + | 8.18970i | 0.163558 | + | 0.367358i | ||||
\(498\) | 5.83679 | + | 27.4599i | 0.261553 | + | 1.23051i | ||||
\(499\) | −16.4834 | + | 32.3505i | −0.737898 | + | 1.44821i | 0.150249 | + | 0.988648i | \(0.451993\pi\) |
−0.888147 | + | 0.459559i | \(0.848007\pi\) | |||||||
\(500\) | 6.38369 | + | 16.6301i | 0.285487 | + | 0.743720i | ||||
\(501\) | −1.30226 | − | 3.39250i | −0.0581807 | − | 0.151566i | ||||
\(502\) | 1.85577 | − | 3.64215i | 0.0828269 | − | 0.162557i | ||||
\(503\) | 2.13064 | + | 10.0239i | 0.0950004 | + | 0.446942i | 0.999778 | + | 0.0210578i | \(0.00670341\pi\) |
−0.904778 | + | 0.425884i | \(0.859963\pi\) | |||||||
\(504\) | 0.203790 | + | 0.457719i | 0.00907751 | + | 0.0203884i | ||||
\(505\) | 1.54978 | − | 0.415263i | 0.0689644 | − | 0.0184790i | ||||
\(506\) | 12.6018 | + | 26.4586i | 0.560220 | + | 1.17623i | ||||
\(507\) | 6.08990 | + | 11.4853i | 0.270462 | + | 0.510082i | ||||
\(508\) | −13.6290 | + | 18.7588i | −0.604691 | + | 0.832286i | ||||
\(509\) | 2.05525 | − | 39.2165i | 0.0910973 | − | 1.73824i | −0.446276 | − | 0.894896i | \(-0.647250\pi\) |
0.537373 | − | 0.843345i | \(-0.319417\pi\) | |||||||
\(510\) | −5.84795 | − | 1.24302i | −0.258951 | − | 0.0550418i | ||||
\(511\) | 3.15191 | − | 7.07931i | 0.139432 | − | 0.313170i | ||||
\(512\) | −4.80062 | + | 30.3099i | −0.212159 | + | 1.33952i | ||||
\(513\) | 0.0931695 | + | 1.77778i | 0.00411354 | + | 0.0784909i | ||||
\(514\) | −18.4830 | − | 12.0030i | −0.815251 | − | 0.529430i | ||||
\(515\) | 5.88906 | − | 0.932735i | 0.259503 | − | 0.0411012i | ||||
\(516\) | 11.5846 | − | 6.68837i | 0.509984 | − | 0.294439i | ||||
\(517\) | 33.9100 | − | 8.12090i | 1.49136 | − | 0.357157i | ||||
\(518\) | 7.03094 | + | 26.2398i | 0.308922 | + | 1.15291i | ||||
\(519\) | 12.6865 | + | 9.21727i | 0.556875 | + | 0.404593i | ||||
\(520\) | 0.547224 | + | 2.82391i | 0.0239974 | + | 0.123837i | ||||
\(521\) | 10.9763 | + | 33.7815i | 0.480879 | + | 1.47999i | 0.837861 | + | 0.545883i | \(0.183806\pi\) |
−0.356982 | + | 0.934111i | \(0.616194\pi\) | |||||||
\(522\) | −5.24200 | + | 6.47333i | −0.229436 | + | 0.283330i | ||||
\(523\) | 21.7491 | − | 2.28592i | 0.951022 | − | 0.0999564i | 0.383705 | − | 0.923456i | \(-0.374648\pi\) |
0.567317 | + | 0.823499i | \(0.307981\pi\) | |||||||
\(524\) | 7.95262 | − | 8.83228i | 0.347412 | − | 0.385840i | ||||
\(525\) | −0.738712 | − | 1.44980i | −0.0322400 | − | 0.0632746i | ||||
\(526\) | 31.6915 | − | 25.6633i | 1.38181 | − | 1.11897i | ||||
\(527\) | −0.0163383 | + | 0.0609753i | −0.000711707 | + | 0.00265613i | ||||
\(528\) | 8.07826 | + | 11.7681i | 0.351561 | + | 0.512141i | ||||
\(529\) | −1.31868 | − | 2.28403i | −0.0573341 | − | 0.0993055i | ||||
\(530\) | 31.5644 | − | 14.0534i | 1.37107 | − | 0.610439i | ||||
\(531\) | −4.46748 | − | 0.234131i | −0.193872 | − | 0.0101604i | ||||
\(532\) | 4.79897 | − | 1.55928i | 0.208062 | − | 0.0676034i | ||||
\(533\) | −0.521287 | + | 2.94644i | −0.0225795 | + | 0.127625i | ||||
\(534\) | −10.8269 | − | 14.9020i | −0.468526 | − | 0.644871i | ||||
\(535\) | −13.5977 | + | 8.83043i | −0.587879 | + | 0.381773i | ||||
\(536\) | 2.32435 | − | 2.09286i | 0.100397 | − | 0.0903976i | ||||
\(537\) | −12.8713 | − | 1.35283i | −0.555436 | − | 0.0583787i | ||||
\(538\) | 22.4210 | − | 22.4210i | 0.966636 | − | 0.966636i | ||||
\(539\) | −2.00530 | + | 15.1659i | −0.0863745 | + | 0.653241i | ||||
\(540\) | −4.35940 | − | 1.16810i | −0.187599 | − | 0.0502669i | ||||
\(541\) | −2.27047 | − | 14.3352i | −0.0976151 | − | 0.616318i | −0.987193 | − | 0.159533i | \(-0.949001\pi\) |
0.889577 | − | 0.456784i | \(-0.150999\pi\) | |||||||
\(542\) | −46.0709 | + | 9.79268i | −1.97892 | + | 0.420631i | ||||
\(543\) | 1.52823 | − | 7.18974i | 0.0655825 | − | 0.308541i | ||||
\(544\) | −7.50216 | − | 6.07513i | −0.321653 | − | 0.260469i | ||||
\(545\) | −30.2575 | + | 21.9833i | −1.29609 | + | 0.941663i | ||||
\(546\) | −3.18354 | − | 10.4344i | −0.136243 | − | 0.446550i | ||||
\(547\) | −25.0925 | − | 8.15306i | −1.07288 | − | 0.348600i | −0.281271 | − | 0.959628i | \(-0.590756\pi\) |
−0.791609 | + | 0.611028i | \(0.790756\pi\) | |||||||
\(548\) | −13.6078 | − | 5.22355i | −0.581297 | − | 0.223139i | ||||
\(549\) | 10.6541 | + | 6.15113i | 0.454705 | + | 0.262524i | ||||
\(550\) | −4.16035 | − | 5.42819i | −0.177398 | − | 0.231459i | ||||
\(551\) | −5.35470 | − | 5.35470i | −0.228118 | − | 0.228118i | ||||
\(552\) | 0.920841 | + | 1.13714i | 0.0391936 | + | 0.0484001i | ||||
\(553\) | −6.04723 | + | 9.31191i | −0.257154 | + | 0.395983i | ||||
\(554\) | −16.2047 | − | 8.25673i | −0.688474 | − | 0.350795i | ||||
\(555\) | 20.1796 | + | 8.98454i | 0.856577 | + | 0.381373i | ||||
\(556\) | −1.75877 | − | 16.7336i | −0.0745884 | − | 0.709661i | ||||
\(557\) | −1.73528 | − | 2.67209i | −0.0735260 | − | 0.113220i | 0.799995 | − | 0.600007i | \(-0.204836\pi\) |
−0.873521 | + | 0.486787i | \(0.838169\pi\) | |||||||
\(558\) | −0.0307808 | + | 0.0947335i | −0.00130305 | + | 0.00401039i | ||||
\(559\) | 24.2080 | − | 10.2592i | 1.02389 | − | 0.433920i | ||||
\(560\) | − | 16.3610i | − | 0.691378i | ||||||
\(561\) | −4.10333 | + | 0.320618i | −0.173243 | + | 0.0135365i | ||||
\(562\) | 28.0388 | − | 48.5647i | 1.18275 | − | 2.04858i | ||||
\(563\) | 2.30725 | − | 21.9520i | 0.0972391 | − | 0.925168i | −0.831772 | − | 0.555117i | \(-0.812673\pi\) |
0.929011 | − | 0.370051i | \(-0.120660\pi\) | |||||||
\(564\) | −17.1837 | + | 8.75554i | −0.723565 | + | 0.368675i | ||||
\(565\) | 33.8078 | − | 1.77179i | 1.42230 | − | 0.0745398i | ||||
\(566\) | −33.9263 | + | 13.0231i | −1.42603 | + | 0.547401i | ||||
\(567\) | −1.52613 | − | 0.241716i | −0.0640916 | − | 0.0101511i | ||||
\(568\) | 1.39809 | + | 1.25884i | 0.0586624 | + | 0.0528199i | ||||
\(569\) | 22.3681 | + | 24.8423i | 0.937721 | + | 1.04144i | 0.999061 | + | 0.0433273i | \(0.0137958\pi\) |
−0.0613404 | + | 0.998117i | \(0.519538\pi\) | |||||||
\(570\) | 3.07355 | − | 8.00686i | 0.128737 | − | 0.335370i | ||||
\(571\) | −27.0706 | −1.13287 | −0.566434 | − | 0.824107i | \(-0.691678\pi\) | ||||
−0.566434 | + | 0.824107i | \(0.691678\pi\) | |||||||
\(572\) | −10.1069 | − | 19.4692i | −0.422591 | − | 0.814050i | ||||
\(573\) | 7.53360 | 0.314721 | ||||||||
\(574\) | 0.899850 | − | 2.34419i | 0.0375590 | − | 0.0978445i | ||||
\(575\) | −3.17968 | − | 3.53139i | −0.132602 | − | 0.147269i | ||||
\(576\) | −4.92329 | − | 4.43295i | −0.205137 | − | 0.184706i | ||||
\(577\) | 23.5452 | + | 3.72920i | 0.980200 | + | 0.155248i | 0.625917 | − | 0.779890i | \(-0.284725\pi\) |
0.354283 | + | 0.935138i | \(0.384725\pi\) | |||||||
\(578\) | −28.2625 | + | 10.8489i | −1.17556 | + | 0.451256i | ||||
\(579\) | −9.84569 | + | 0.515991i | −0.409173 | + | 0.0214438i | ||||
\(580\) | 17.1057 | − | 8.71577i | 0.710274 | − | 0.361903i | ||||
\(581\) | 2.31555 | − | 22.0310i | 0.0960651 | − | 0.913998i | ||||
\(582\) | 7.71457 | − | 13.3620i | 0.319779 | − | 0.553874i | ||||
\(583\) | 18.0959 | − | 15.4378i | 0.749457 | − | 0.639368i | ||||
\(584\) | − | 1.62624i | − | 0.0672941i | ||||||
\(585\) | −8.22288 | − | 3.32777i | −0.339974 | − | 0.137586i | ||||
\(586\) | 5.19942 | − | 16.0022i | 0.214786 | − | 0.661044i | ||||
\(587\) | 14.4474 | + | 22.2471i | 0.596309 | + | 0.918235i | 0.999994 | + | 0.00333730i | \(0.00106230\pi\) |
−0.403686 | + | 0.914898i | \(0.632271\pi\) | |||||||
\(588\) | −0.884433 | − | 8.41482i | −0.0364734 | − | 0.347021i | ||||
\(589\) | −0.0827279 | − | 0.0368328i | −0.00340874 | − | 0.00151767i | ||||
\(590\) | 19.2033 | + | 9.78456i | 0.790587 | + | 0.402824i | ||||
\(591\) | 4.08166 | − | 6.28520i | 0.167897 | − | 0.258539i | ||||
\(592\) | 24.3173 | + | 30.0294i | 0.999436 | + | 1.23420i | ||||
\(593\) | −25.4446 | − | 25.4446i | −1.04489 | − | 1.04489i | −0.998944 | − | 0.0459424i | \(-0.985371\pi\) |
−0.0459424 | − | 0.998944i | \(-0.514629\pi\) | |||||||
\(594\) | −6.49236 | + | 0.166355i | −0.266385 | + | 0.00682563i | ||||
\(595\) | 4.08558 | + | 2.35881i | 0.167492 | + | 0.0967018i | ||||
\(596\) | 20.2090 | + | 7.75753i | 0.827795 | + | 0.317761i | ||||
\(597\) | 8.50352 | + | 2.76296i | 0.348026 | + | 0.113080i | ||||
\(598\) | −16.8673 | − | 27.0280i | −0.689757 | − | 1.10526i | ||||
\(599\) | 33.9622 | − | 24.6750i | 1.38766 | − | 1.00819i | 0.391539 | − | 0.920161i | \(-0.371943\pi\) |
0.996118 | − | 0.0880307i | \(-0.0280574\pi\) | |||||||
\(600\) | −0.265371 | − | 0.214893i | −0.0108337 | − | 0.00877299i | ||||
\(601\) | 3.09085 | − | 14.5413i | 0.126079 | − | 0.593153i | −0.869063 | − | 0.494701i | \(-0.835278\pi\) |
0.995142 | − | 0.0984519i | \(-0.0313891\pi\) | |||||||
\(602\) | −21.5815 | + | 4.58729i | −0.879596 | + | 0.186964i | ||||
\(603\) | 1.50892 | + | 9.52692i | 0.0614478 | + | 0.387966i | ||||
\(604\) | 8.47542 | + | 2.27098i | 0.344860 | + | 0.0924050i | ||||
\(605\) | −21.8767 | − | 15.9320i | −0.889416 | − | 0.647728i | ||||
\(606\) | −0.902970 | + | 0.902970i | −0.0366807 | + | 0.0366807i | ||||
\(607\) | 32.7634 | + | 3.44357i | 1.32982 | + | 0.139770i | 0.742644 | − | 0.669687i | \(-0.233572\pi\) |
0.587180 | + | 0.809457i | \(0.300238\pi\) | |||||||
\(608\) | 10.2913 | − | 9.26630i | 0.417366 | − | 0.375798i | ||||
\(609\) | 5.51240 | − | 3.57979i | 0.223374 | − | 0.145061i | ||||
\(610\) | −34.8370 | − | 47.9490i | −1.41051 | − | 1.94140i | ||||
\(611\) | −35.6278 | + | 12.9442i | −1.44135 | + | 0.523668i | ||||
\(612\) | 2.16503 | − | 0.703461i | 0.0875161 | − | 0.0284357i | ||||
\(613\) | 12.8759 | + | 0.674799i | 0.520054 | + | 0.0272549i | 0.310558 | − | 0.950555i | \(-0.399484\pi\) |
0.209496 | + | 0.977809i | \(0.432818\pi\) | |||||||
\(614\) | −44.4924 | + | 19.8093i | −1.79557 | + | 0.799438i | ||||
\(615\) | −1.02088 | − | 1.76822i | −0.0411660 | − | 0.0713016i | ||||
\(616\) | −0.471066 | − | 1.59358i | −0.0189798 | − | 0.0642073i | ||||
\(617\) | −1.84803 | + | 6.89693i | −0.0743988 | + | 0.277660i | −0.993096 | − | 0.117302i | \(-0.962576\pi\) |
0.918698 | + | 0.394962i | \(0.129242\pi\) | |||||||
\(618\) | −3.68799 | + | 2.98648i | −0.148353 | + | 0.120134i | ||||
\(619\) | −1.83535 | − | 3.60208i | −0.0737691 | − | 0.144780i | 0.851176 | − | 0.524880i | \(-0.175890\pi\) |
−0.924946 | + | 0.380100i | \(0.875890\pi\) | |||||||
\(620\) | 0.153618 | − | 0.170610i | 0.00616944 | − | 0.00685186i | ||||
\(621\) | −4.48778 | + | 0.471684i | −0.180088 | + | 0.0189280i | ||||
\(622\) | −16.5431 | + | 20.4291i | −0.663319 | + | 0.819131i | ||||
\(623\) | 4.49151 | + | 13.8234i | 0.179948 | + | 0.553825i | ||||
\(624\) | −10.1736 | − | 11.7170i | −0.407271 | − | 0.469057i | ||||
\(625\) | −23.5880 | − | 17.1377i | −0.943520 | − | 0.685508i | ||||
\(626\) | −10.1486 | − | 37.8750i | −0.405619 | − | 1.51379i | ||||
\(627\) | 0.466558 | − | 5.88586i | 0.0186325 | − | 0.235059i | ||||
\(628\) | 38.4073 | − | 22.1744i | 1.53262 | − | 0.884857i | ||||
\(629\) | −11.0047 | + | 1.74297i | −0.438785 | + | 0.0694967i | ||||
\(630\) | 6.24311 | + | 4.05432i | 0.248732 | + | 0.161528i | ||||
\(631\) | −0.931292 | − | 17.7701i | −0.0370742 | − | 0.707417i | −0.952427 | − | 0.304765i | \(-0.901422\pi\) |
0.915353 | − | 0.402652i | \(-0.131911\pi\) | |||||||
\(632\) | −0.364504 | + | 2.30139i | −0.0144992 | + | 0.0915444i | ||||
\(633\) | −0.864078 | + | 1.94075i | −0.0343440 | + | 0.0771379i | ||||
\(634\) | −57.4740 | − | 12.2165i | −2.28258 | − | 0.485178i | ||||
\(635\) | 1.62757 | − | 31.0559i | 0.0645881 | − | 1.23241i | ||||
\(636\) | −7.73293 | + | 10.6435i | −0.306631 | + | 0.422041i | ||||
\(637\) | 0.299822 | − | 16.6278i | 0.0118794 | − | 0.658819i | ||||
\(638\) | 20.0500 | − | 19.0054i | 0.793789 | − | 0.752430i | ||||
\(639\) | −5.60413 | + | 1.50162i | −0.221696 | + | 0.0594033i | ||||
\(640\) | −2.58700 | − | 5.81049i | −0.102260 | − | 0.229680i | ||||
\(641\) | 0.567720 | + | 2.67091i | 0.0224236 | + | 0.105495i | 0.987936 | − | 0.154862i | \(-0.0494932\pi\) |
−0.965513 | + | 0.260357i | \(0.916160\pi\) | |||||||
\(642\) | 5.85843 | − | 11.4978i | 0.231214 | − | 0.453783i | ||||
\(643\) | 0.922634 | + | 2.40354i | 0.0363851 | + | 0.0947865i | 0.950569 | − | 0.310513i | \(-0.100501\pi\) |
−0.914184 | + | 0.405299i | \(0.867167\pi\) | |||||||
\(644\) | 4.58368 | + | 11.9409i | 0.180622 | + | 0.470537i | ||||
\(645\) | −8.14497 | + | 15.9854i | −0.320708 | + | 0.629425i | ||||
\(646\) | 0.899423 | + | 4.23145i | 0.0353873 | + | 0.166484i | ||||
\(647\) | −18.2573 | − | 41.0067i | −0.717770 | − | 1.61214i | −0.788789 | − | 0.614664i | \(-0.789292\pi\) |
0.0710192 | − | 0.997475i | \(-0.477375\pi\) | |||||||
\(648\) | −0.313213 | + | 0.0839252i | −0.0123042 | + | 0.00329689i | ||||
\(649\) | 14.5873 | + | 2.71208i | 0.572602 | + | 0.106459i | ||||
\(650\) | 5.16164 | + | 5.35121i | 0.202456 | + | 0.209892i | ||||
\(651\) | 0.0461998 | − | 0.0635885i | 0.00181071 | − | 0.00249223i | ||||
\(652\) | 1.85132 | − | 35.3253i | 0.0725032 | − | 1.38344i | ||||
\(653\) | −31.0222 | − | 6.59396i | −1.21399 | − | 0.258042i | −0.443959 | − | 0.896047i | \(-0.646426\pi\) |
−0.770032 | + | 0.638005i | \(0.779760\pi\) | |||||||
\(654\) | 12.1074 | − | 27.1936i | 0.473436 | − | 1.06335i | ||||
\(655\) | −2.49359 | + | 15.7439i | −0.0974325 | + | 0.615164i | ||||
\(656\) | −0.186925 | − | 3.56674i | −0.00729820 | − | 0.139258i | ||||
\(657\) | 4.20609 | + | 2.73147i | 0.164095 | + | 0.106565i | ||||
\(658\) | 31.4183 | − | 4.97617i | 1.22481 | − | 0.193991i | ||||
\(659\) | −11.4305 | + | 6.59942i | −0.445270 | + | 0.257077i | −0.705831 | − | 0.708381i | \(-0.749426\pi\) |
0.260560 | + | 0.965458i | \(0.416093\pi\) | |||||||
\(660\) | 13.8259 | + | 5.73599i | 0.538172 | + | 0.223273i | ||||
\(661\) | −0.427010 | − | 1.59362i | −0.0166087 | − | 0.0619847i | 0.957124 | − | 0.289678i | \(-0.0935483\pi\) |
−0.973733 | + | 0.227693i | \(0.926882\pi\) | |||||||
\(662\) | −33.0261 | − | 23.9949i | −1.28360 | − | 0.932587i | ||||
\(663\) | 4.39268 | − | 0.851224i | 0.170597 | − | 0.0330588i | ||||
\(664\) | −1.43656 | − | 4.42128i | −0.0557494 | − | 0.171579i | ||||
\(665\) | −4.25899 | + | 5.25941i | −0.165156 | + | 0.203951i | ||||
\(666\) | −17.4847 | + | 1.83772i | −0.677519 | + | 0.0712101i | ||||
\(667\) | 12.8441 | − | 14.2648i | 0.497326 | − | 0.552337i | ||||
\(668\) | −3.02629 | − | 5.93943i | −0.117091 | − | 0.229803i | ||||
\(669\) | −4.00521 | + | 3.24336i | −0.154851 | + | 0.125395i | ||||
\(670\) | 12.0272 | − | 44.8862i | 0.464652 | − | 1.73411i | ||||
\(671\) | −32.3564 | − | 24.8569i | −1.24911 | − | 0.959589i | ||||
\(672\) | 6.00986 | + | 10.4094i | 0.231835 | + | 0.401551i | ||||
\(673\) | 4.82681 | − | 2.14903i | 0.186060 | − | 0.0828392i | −0.311592 | − | 0.950216i | \(-0.600862\pi\) |
0.497652 | + | 0.867377i | \(0.334196\pi\) | |||||||
\(674\) | 52.1579 | + | 2.73348i | 2.00905 | + | 0.105290i | ||||
\(675\) | 1.00152 | − | 0.325415i | 0.0385487 | − | 0.0125252i | ||||
\(676\) | 13.3124 | + | 19.7856i | 0.512017 | + | 0.760986i | ||||
\(677\) | −20.4306 | − | 28.1203i | −0.785211 | − | 1.08075i | −0.994688 | − | 0.102937i | \(-0.967176\pi\) |
0.209476 | − | 0.977814i | \(-0.432824\pi\) | |||||||
\(678\) | −22.5977 | + | 14.6751i | −0.867861 | + | 0.563595i | ||||
\(679\) | −9.04772 | + | 8.14660i | −0.347220 | + | 0.312638i | ||||
\(680\) | 0.984601 | + | 0.103486i | 0.0377577 | + | 0.00396850i | ||||
\(681\) | −19.7819 | + | 19.7819i | −0.758044 | + | 0.758044i | ||||
\(682\) | 0.142393 | − | 0.298102i | 0.00545252 | − | 0.0114149i | ||||
\(683\) | 16.9080 | + | 4.53048i | 0.646966 | + | 0.173354i | 0.567357 | − | 0.823472i | \(-0.307966\pi\) |
0.0796093 | + | 0.996826i | \(0.474633\pi\) | |||||||
\(684\) | 0.510859 | + | 3.22544i | 0.0195332 | + | 0.123328i | ||||
\(685\) | 19.1220 | − | 4.06450i | 0.730614 | − | 0.155297i | ||||
\(686\) | −7.30510 | + | 34.3678i | −0.278910 | + | 1.31217i | ||||
\(687\) | 14.9852 | + | 12.1348i | 0.571722 | + | 0.462971i | ||||
\(688\) | −25.3899 | + | 18.4469i | −0.967983 | + | 0.703281i | ||||
\(689\) | −17.6463 | + | 18.9015i | −0.672270 | + | 0.720090i | ||||
\(690\) | 20.6757 | + | 6.71794i | 0.787110 | + | 0.255748i | ||||
\(691\) | −18.8611 | − | 7.24008i | −0.717508 | − | 0.275426i | −0.0279025 | − | 0.999611i | \(-0.508883\pi\) |
−0.689606 | + | 0.724185i | \(0.742216\pi\) | |||||||
\(692\) | 24.9120 | + | 14.3830i | 0.947014 | + | 0.546759i | ||||
\(693\) | 4.91285 | + | 1.45826i | 0.186624 | + | 0.0553947i | ||||
\(694\) | −23.3860 | − | 23.3860i | −0.887721 | − | 0.887721i | ||||
\(695\) | 14.2016 | + | 17.5376i | 0.538699 | + | 0.665237i | ||||
\(696\) | 0.751244 | − | 1.15681i | 0.0284758 | − | 0.0438489i | ||||
\(697\) | 0.917618 | + | 0.467550i | 0.0347573 | + | 0.0177097i | ||||
\(698\) | 9.89561 | + | 4.40581i | 0.374555 | + | 0.166762i | ||||
\(699\) | −0.459737 | − | 4.37411i | −0.0173889 | − | 0.165444i | ||||
\(700\) | −1.62567 | − | 2.50331i | −0.0614446 | − | 0.0946163i | ||||
\(701\) | 1.15365 | − | 3.55057i | 0.0435727 | − | 0.134103i | −0.926904 | − | 0.375300i | \(-0.877540\pi\) |
0.970476 | + | 0.241197i | \(0.0775398\pi\) | |||||||
\(702\) | 6.99211 | − | 0.978571i | 0.263900 | − | 0.0369338i | ||||
\(703\) | − | 15.9834i | − | 0.602825i | ||||||
\(704\) | 14.2606 | + | 16.7160i | 0.537465 | + | 0.630008i | ||||
\(705\) | 12.9330 | − | 22.4006i | 0.487084 | − | 0.843655i | ||||
\(706\) | 3.27595 | − | 31.1685i | 0.123292 | − | 1.17304i | ||||
\(707\) | 0.897828 | − | 0.457466i | 0.0337663 | − | 0.0172048i | ||||
\(708\) | −8.19516 | + | 0.429490i | −0.307993 | + | 0.0161412i | ||||
\(709\) | −0.430921 | + | 0.165415i | −0.0161836 | + | 0.00621229i | −0.366446 | − | 0.930439i | \(-0.619426\pi\) |
0.350263 | + | 0.936652i | \(0.386092\pi\) | |||||||
\(710\) | 27.6071 | + | 4.37254i | 1.03608 | + | 0.164099i | ||||
\(711\) | −5.34008 | − | 4.80823i | −0.200269 | − | 0.180323i | ||||
\(712\) | 2.04100 | + | 2.26676i | 0.0764898 | + | 0.0849506i | ||||
\(713\) | 0.0822610 | − | 0.214297i | 0.00308070 | − | 0.00802550i | ||||
\(714\) | −3.75478 | −0.140519 | ||||||||
\(715\) | 25.5901 | + | 14.5167i | 0.957016 | + | 0.542893i | ||||
\(716\) | −23.7412 | −0.887250 | ||||||||
\(717\) | −9.21453 | + | 24.0047i | −0.344123 | + | 0.896471i | ||||
\(718\) | −12.8814 | − | 14.3063i | −0.480731 | − | 0.533906i | ||||
\(719\) | 19.6445 | + | 17.6880i | 0.732616 | + | 0.659651i | 0.948503 | − | 0.316768i | \(-0.102598\pi\) |
−0.215887 | + | 0.976418i | \(0.569264\pi\) | |||||||
\(720\) | 10.4582 | + | 1.65641i | 0.389754 | + | 0.0617309i | ||||
\(721\) | 3.49593 | − | 1.34196i | 0.130195 | − | 0.0499773i | ||||
\(722\) | 30.9568 | − | 1.62238i | 1.15209 | − | 0.0603787i | ||||
\(723\) | −26.2453 | + | 13.3727i | −0.976074 | + | 0.497335i | ||||
\(724\) | 1.40941 | − | 13.4097i | 0.0523805 | − | 0.498367i | ||||
\(725\) | −2.23976 | + | 3.87938i | −0.0831826 | + | 0.144077i | ||||
\(726\) | 21.4193 | + | 2.27561i | 0.794943 | + | 0.0844560i | ||||
\(727\) | − | 8.52149i | − | 0.316045i | −0.987436 | − | 0.158022i | \(-0.949488\pi\) | ||
0.987436 | − | 0.158022i | \(-0.0505118\pi\) | |||||||
\(728\) | 0.704902 | + | 1.66331i | 0.0261254 | + | 0.0616463i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −13.1593 | − | 20.2636i | −0.487048 | − | 0.749988i | ||||
\(731\) | −0.945915 | − | 8.99978i | −0.0349859 | − | 0.332869i | ||||
\(732\) | 20.6163 | + | 9.17896i | 0.762000 | + | 0.339264i | ||||
\(733\) | 22.1346 | + | 11.2782i | 0.817561 | + | 0.416568i | 0.812172 | − | 0.583417i | \(-0.198285\pi\) |
0.00538840 | + | 0.999985i | \(0.498285\pi\) | |||||||
\(734\) | 4.59939 | − | 7.08243i | 0.169766 | − | 0.261417i | ||||
\(735\) | 7.14158 | + | 8.81912i | 0.263421 | + | 0.325298i | ||||
\(736\) | 24.8212 | + | 24.8212i | 0.914923 | + | 0.914923i | ||||
\(737\) | −0.819444 | − | 31.9806i | −0.0301846 | − | 1.17802i | ||||
\(738\) | 1.40734 | + | 0.812527i | 0.0518048 | + | 0.0299095i | ||||
\(739\) | −42.0110 | − | 16.1265i | −1.54540 | − | 0.593224i | −0.571581 | − | 0.820546i | \(-0.693670\pi\) |
−0.973820 | + | 0.227322i | \(0.927003\pi\) | |||||||
\(740\) | 38.5376 | + | 12.5216i | 1.41667 | + | 0.460304i | ||||
\(741\) | 0.220313 | + | 6.41489i | 0.00809341 | + | 0.235657i | ||||
\(742\) | 17.5554 | − | 12.7547i | 0.644478 | − | 0.468241i | ||||
\(743\) | −7.91874 | − | 6.41247i | −0.290510 | − | 0.235251i | 0.472975 | − | 0.881076i | \(-0.343180\pi\) |
−0.763485 | + | 0.645825i | \(0.776513\pi\) | |||||||
\(744\) | 0.00342944 | − | 0.0161342i | 0.000125729 | − | 0.000591510i | ||||
\(745\) | −28.3982 | + | 6.03623i | −1.04043 | + | 0.221150i | ||||
\(746\) | 4.12780 | + | 26.0619i | 0.151130 | + | 0.954195i | ||||
\(747\) | 13.8481 | + | 3.71058i | 0.506675 | + | 0.135763i | ||||
\(748\) | −7.42447 | + | 1.37173i | −0.271465 | + | 0.0501552i | ||||
\(749\) | −7.20018 | + | 7.20018i | −0.263089 | + | 0.263089i | ||||
\(750\) | 18.9108 | + | 1.98761i | 0.690526 | + | 0.0725773i | ||||
\(751\) | −28.5105 | + | 25.6709i | −1.04036 | + | 0.936746i | −0.998054 | − | 0.0623591i | \(-0.980138\pi\) |
−0.0423075 | + | 0.999105i | \(0.513471\pi\) | |||||||
\(752\) | 37.9473 | − | 24.6433i | 1.38380 | − | 0.898648i | ||||
\(753\) | −1.22700 | − | 1.68883i | −0.0447145 | − | 0.0615443i | ||||
\(754\) | −19.3180 | + | 22.9954i | −0.703520 | + | 0.837443i | ||||
\(755\) | −11.1922 | + | 3.63657i | −0.407327 | + | 0.132348i | ||||
\(756\) | −2.83056 | − | 0.148343i | −0.102947 | − | 0.00539520i | ||||
\(757\) | 1.94849 | − | 0.867523i | 0.0708190 | − | 0.0315307i | −0.371021 | − | 0.928624i | \(-0.620992\pi\) |
0.441840 | + | 0.897094i | \(0.354326\pi\) | |||||||
\(758\) | 14.8296 | + | 25.6856i | 0.538636 | + | 0.932945i | ||||
\(759\) | 14.9609 | + | 0.400185i | 0.543047 | + | 0.0145258i | ||||
\(760\) | −0.367581 | + | 1.37183i | −0.0133336 | + | 0.0497616i | ||||
\(761\) | −39.6340 | + | 32.0950i | −1.43673 | + | 1.16344i | −0.478274 | + | 0.878210i | \(0.658738\pi\) |
−0.958458 | + | 0.285233i | \(0.907929\pi\) | |||||||
\(762\) | 11.2369 | + | 22.0537i | 0.407070 | + | 0.798921i | ||||
\(763\) | −15.7171 | + | 17.4556i | −0.568996 | + | 0.631934i | ||||
\(764\) | 13.7440 | − | 1.44455i | 0.497239 | − | 0.0522620i | ||||
\(765\) | −1.92142 | + | 2.37275i | −0.0694690 | + | 0.0857871i | ||||
\(766\) | −6.79304 | − | 20.9068i | −0.245443 | − | 0.755395i | ||||
\(767\) | −16.0899 | − | 1.13443i | −0.580972 | − | 0.0409618i | ||||
\(768\) | 14.8148 | + | 10.7636i | 0.534584 | + | 0.388398i | ||||
\(769\) | 9.27576 | + | 34.6176i | 0.334493 | + | 1.24834i | 0.904418 | + | 0.426647i | \(0.140305\pi\) |
−0.569926 | + | 0.821696i | \(0.693028\pi\) | |||||||
\(770\) | −18.7648 | − | 16.0449i | −0.676235 | − | 0.578217i | ||||
\(771\) | −9.74683 | + | 5.62733i | −0.351023 | + | 0.202663i | ||||
\(772\) | −17.8631 | + | 2.82924i | −0.642907 | + | 0.101826i | ||||
\(773\) | −25.3697 | − | 16.4753i | −0.912486 | − | 0.592575i | 0.000752988 | − | 1.00000i | \(-0.499760\pi\) |
−0.913239 | + | 0.407424i | \(0.866427\pi\) | |||||||
\(774\) | −0.747316 | − | 14.2596i | −0.0268617 | − | 0.512552i | ||||
\(775\) | −0.00837984 | + | 0.0529082i | −0.000301013 | + | 0.00190052i | ||||
\(776\) | −1.03921 | + | 2.33410i | −0.0373053 | + | 0.0837892i | ||||
\(777\) | 13.5698 | + | 2.88434i | 0.486813 | + | 0.103475i | ||||
\(778\) | −2.24836 | + | 42.9013i | −0.0806078 | + | 1.53809i | ||||
\(779\) | −0.868383 | + | 1.19523i | −0.0311130 | + | 0.0428234i | ||||
\(780\) | −15.6396 | − | 4.49432i | −0.559986 | − | 0.160923i | ||||
\(781\) | 19.0793 | − | 2.50092i | 0.682710 | − | 0.0894899i | ||||
\(782\) | −10.5919 | + | 2.83808i | −0.378764 | + | 0.101490i | ||||
\(783\) | 1.73017 | + | 3.88603i | 0.0618313 | + | 0.138875i | ||||
\(784\) | 4.12727 | + | 19.4173i | 0.147402 | + | 0.693474i | ||||
\(785\) | −27.0036 | + | 52.9976i | −0.963801 | + | 1.89157i | ||||
\(786\) | −4.54655 | − | 11.8442i | −0.162170 | − | 0.422468i | ||||
\(787\) | −2.96515 | − | 7.72447i | −0.105696 | − | 0.275348i | 0.870525 | − | 0.492124i | \(-0.163779\pi\) |
−0.976221 | + | 0.216776i | \(0.930446\pi\) | |||||||
\(788\) | 6.24122 | − | 12.2491i | 0.222334 | − | 0.436356i | ||||
\(789\) | −4.32982 | − | 20.3702i | −0.154146 | − | 0.725199i | ||||
\(790\) | 14.0807 | + | 31.6258i | 0.500969 | + | 1.12519i | ||||
\(791\) | 20.5372 | − | 5.50293i | 0.730219 | − | 0.195662i | ||||
\(792\) | 1.06633 | − | 0.139775i | 0.0378905 | − | 0.00496670i | ||||
\(793\) | 38.0077 | + | 22.8672i | 1.34969 | + | 0.812037i | ||||
\(794\) | 41.0460 | − | 56.4950i | 1.45667 | − | 2.00493i | ||||
\(795\) | 0.923460 | − | 17.6207i | 0.0327518 | − | 0.624941i | ||||
\(796\) | 16.0432 | + | 3.41009i | 0.568637 | + | 0.120868i | ||||
\(797\) | −18.3297 | + | 41.1691i | −0.649270 | + | 1.45828i | 0.225745 | + | 0.974186i | \(0.427518\pi\) |
−0.875014 | + | 0.484097i | \(0.839148\pi\) | |||||||
\(798\) | 0.842613 | − | 5.32005i | 0.0298282 | − | 0.188328i | ||||
\(799\) | 0.682816 | + | 13.0289i | 0.0241563 | + | 0.460929i | ||||
\(800\) | −6.87018 | − | 4.46155i | −0.242898 | − | 0.157740i | ||||
\(801\) | −9.29088 | + | 1.47153i | −0.328277 | + | 0.0519940i | ||||
\(802\) | −44.1474 | + | 25.4885i | −1.55890 | + | 0.900030i | ||||
\(803\) | −12.6421 | − | 10.8097i | −0.446132 | − | 0.381466i | ||||
\(804\) | 4.57956 | + | 17.0912i | 0.161509 | + | 0.602759i | ||||
\(805\) | −13.8783 | − | 10.0832i | −0.489145 | − | 0.355384i | ||||
\(806\) | −0.117121 | + | 0.339510i | −0.00412543 | + | 0.0119587i | ||||
\(807\) | −5.00383 | − | 15.4002i | −0.176143 | − | 0.542113i | ||||
\(808\) | 0.133078 | − | 0.164338i | 0.00468168 | − | 0.00578139i | ||||
\(809\) | 32.6502 | − | 3.43167i | 1.14792 | − | 0.120651i | 0.488595 | − | 0.872511i | \(-0.337510\pi\) |
0.659323 | + | 0.751860i | \(0.270843\pi\) | |||||||
\(810\) | −3.22365 | + | 3.58022i | −0.113267 | + | 0.125796i | ||||
\(811\) | −17.0658 | − | 33.4935i | −0.599260 | − | 1.17611i | −0.969019 | − | 0.246986i | \(-0.920560\pi\) |
0.369759 | − | 0.929128i | \(-0.379440\pi\) | |||||||
\(812\) | 9.37016 | − | 7.58781i | 0.328828 | − | 0.266280i | ||||
\(813\) | −6.22544 | + | 23.2336i | −0.218336 | + | 0.814839i | ||||
\(814\) | 58.2888 | + | 1.55915i | 2.04302 | + | 0.0546481i | ||||
\(815\) | 23.7216 | + | 41.0870i | 0.830931 | + | 1.43921i | ||||
\(816\) | −4.87912 | + | 2.17232i | −0.170803 | + | 0.0760465i | ||||
\(817\) | 12.9638 | + | 0.679406i | 0.453547 | + | 0.0237694i | ||||
\(818\) | 27.5304 | − | 8.94518i | 0.962579 | − | 0.312761i | ||||
\(819\) | −5.48595 | − | 0.970580i | −0.191695 | − | 0.0339148i | ||||
\(820\) | −2.20151 | − | 3.03012i | −0.0768800 | − | 0.105816i | ||||
\(821\) | −14.5130 | + | 9.42483i | −0.506506 | + | 0.328929i | −0.772467 | − | 0.635055i | \(-0.780977\pi\) |
0.265961 | + | 0.963984i | \(0.414311\pi\) | |||||||
\(822\) | −11.5628 | + | 10.4112i | −0.403299 | + | 0.363132i | ||||
\(823\) | −3.22303 | − | 0.338754i | −0.112348 | − | 0.0118082i | 0.0481877 | − | 0.998838i | \(-0.484655\pi\) |
−0.160535 | + | 0.987030i | \(0.551322\pi\) | |||||||
\(824\) | 0.555673 | − | 0.555673i | 0.0193578 | − | 0.0193578i | ||||
\(825\) | −3.43450 | + | 0.634549i | −0.119574 | + | 0.0220921i | ||||
\(826\) | 13.0745 | + | 3.50329i | 0.454919 | + | 0.121895i | ||||
\(827\) | 2.19948 | + | 13.8869i | 0.0764833 | + | 0.482896i | 0.995963 | + | 0.0897600i | \(0.0286100\pi\) |
−0.919480 | + | 0.393136i | \(0.871390\pi\) | |||||||
\(828\) | −8.09686 | + | 1.72104i | −0.281385 | + | 0.0598103i | ||||
\(829\) | −1.28697 | + | 6.05472i | −0.0446983 | + | 0.210289i | −0.994829 | − | 0.101562i | \(-0.967616\pi\) |
0.950131 | + | 0.311852i | \(0.100949\pi\) | |||||||
\(830\) | −53.6766 | − | 43.4665i | −1.86314 | − | 1.50874i | ||||
\(831\) | −7.51398 | + | 5.45923i | −0.260657 | + | 0.189378i | ||||
\(832\) | −17.4601 | − | 16.3007i | −0.605321 | − | 0.565123i | ||||
\(833\) | −5.44382 | − | 1.76880i | −0.188617 | − | 0.0612854i | ||||
\(834\) | −16.7679 | − | 6.43661i | −0.580626 | − | 0.222881i | ||||
\(835\) | 7.74260 | + | 4.47019i | 0.267944 | + | 0.154697i | ||||
\(836\) | −0.277432 | − | 10.8274i | −0.00959517 | − | 0.374472i | ||||
\(837\) | 0.0359694 | + | 0.0359694i | 0.00124328 | + | 0.00124328i | ||||
\(838\) | −3.43814 | − | 4.24575i | −0.118768 | − | 0.146667i | ||||
\(839\) | 16.5944 | − | 25.5531i | 0.572902 | − | 0.882192i | −0.426853 | − | 0.904321i | \(-0.640378\pi\) |
0.999755 | + | 0.0221290i | \(0.00704447\pi\) | |||||||
\(840\) | −1.09834 | − | 0.559633i | −0.0378964 | − | 0.0193092i | ||||
\(841\) | 9.96245 | + | 4.43557i | 0.343533 | + | 0.152951i | ||||
\(842\) | 6.86749 | + | 65.3398i | 0.236669 | + | 2.25176i | ||||
\(843\) | −15.5973 | − | 24.0177i | −0.537200 | − | 0.827215i | ||||
\(844\) | −1.20425 | + | 3.70631i | −0.0414521 | + | 0.127576i | ||||
\(845\) | −29.4269 | − | 12.5310i | −1.01232 | − | 0.431080i | ||||
\(846\) | 20.5869i | 0.707790i | ||||||||
\(847\) | −15.5195 | − | 6.93066i | −0.533257 | − | 0.238140i | ||||
\(848\) | 15.4330 | − | 26.7307i | 0.529970 | − | 0.917935i | ||||
\(849\) | −1.93986 | + | 18.4565i | −0.0665758 | + | 0.633426i | ||||
\(850\) | 2.28007 | − | 1.16175i | 0.0782056 | − | 0.0398478i | ||||
\(851\) | 40.4591 | − | 2.12037i | 1.38692 | − | 0.0726854i | ||||
\(852\) | −9.93600 | + | 3.81407i | −0.340402 | + | 0.130668i | ||||
\(853\) | 30.4882 | + | 4.82885i | 1.04390 | + | 0.165337i | 0.654755 | − | 0.755842i | \(-0.272772\pi\) |
0.389141 | + | 0.921178i | \(0.372772\pi\) | |||||||
\(854\) | −27.6618 | − | 24.9068i | −0.946568 | − | 0.852293i | ||||
\(855\) | −2.93071 | − | 3.25488i | −0.100228 | − | 0.111315i | ||||
\(856\) | −0.765792 | + | 1.99496i | −0.0261742 | + | 0.0681862i | ||||
\(857\) | 23.5017 | 0.802803 | 0.401402 | − | 0.915902i | \(-0.368523\pi\) | ||||
0.401402 | + | 0.915902i | \(0.368523\pi\) | |||||||
\(858\) | −23.4156 | + | 0.177686i | −0.799394 | + | 0.00606610i | ||||
\(859\) | −45.9563 | −1.56801 | −0.784004 | − | 0.620756i | \(-0.786826\pi\) | ||||
−0.784004 | + | 0.620756i | \(0.786826\pi\) | |||||||
\(860\) | −11.7942 | + | 30.7249i | −0.402178 | + | 1.04771i | ||||
\(861\) | −0.858030 | − | 0.952939i | −0.0292416 | − | 0.0324761i | ||||
\(862\) | 10.5361 | + | 9.48677i | 0.358862 | + | 0.323121i | ||||
\(863\) | −13.2705 | − | 2.10185i | −0.451735 | − | 0.0715477i | −0.0735782 | − | 0.997289i | \(-0.523442\pi\) |
−0.378156 | + | 0.925742i | \(0.623442\pi\) | |||||||
\(864\) | −7.26228 | + | 2.78773i | −0.247068 | + | 0.0948405i | ||||
\(865\) | −38.5279 | + | 2.01916i | −1.30999 | + | 0.0686536i | ||||
\(866\) | −8.46972 | + | 4.31554i | −0.287813 | + | 0.146648i | ||||
\(867\) | −1.61601 | + | 15.3753i | −0.0548825 | + | 0.522172i | ||||
\(868\) | 0.0720919 | − | 0.124867i | 0.00244696 | − | 0.00423826i | ||||
\(869\) | 15.4678 | + | 18.1311i | 0.524710 | + | 0.615056i | ||||
\(870\) | − | 20.4933i | − | 0.694790i | ||||||
\(871\) | 4.82032 | + | 34.4423i | 0.163330 | + | 1.16703i | ||||
\(872\) | −1.52323 | + | 4.68802i | −0.0515831 | + | 0.158756i | ||||
\(873\) | −4.29142 | − | 6.60821i | −0.145243 | − | 0.223654i | ||||
\(874\) | −1.64427 | − | 15.6442i | −0.0556184 | − | 0.529174i | ||||
\(875\) | −13.7073 | − | 6.10287i | −0.463390 | − | 0.206315i | ||||
\(876\) | 8.19716 | + | 4.17666i | 0.276957 | + | 0.141116i | ||||
\(877\) | −12.9783 | + | 19.9849i | −0.438248 | + | 0.674842i | −0.986923 | − | 0.161193i | \(-0.948466\pi\) |
0.548675 | + | 0.836036i | \(0.315132\pi\) | |||||||
\(878\) | 10.5658 | + | 13.0477i | 0.356580 | + | 0.440340i | ||||
\(879\) | −6.07587 | − | 6.07587i | −0.204934 | − | 0.204934i | ||||
\(880\) | −33.6665 | − | 9.99306i | −1.13490 | − | 0.336866i | ||||
\(881\) | −4.20732 | − | 2.42910i | −0.141748 | − | 0.0818383i | 0.427449 | − | 0.904040i | \(-0.359412\pi\) |
−0.569197 | + | 0.822201i | \(0.692746\pi\) | |||||||
\(882\) | −8.43210 | − | 3.23678i | −0.283924 | − | 0.108988i | ||||
\(883\) | 8.07589 | + | 2.62401i | 0.271775 | + | 0.0883051i | 0.441734 | − | 0.897146i | \(-0.354363\pi\) |
−0.169959 | + | 0.985451i | \(0.554363\pi\) | |||||||
\(884\) | 7.85058 | − | 2.39522i | 0.264044 | − | 0.0805600i | ||||
\(885\) | 8.90437 | − | 6.46940i | 0.299317 | − | 0.217467i | ||||
\(886\) | 26.1733 | + | 21.1948i | 0.879311 | + | 0.712052i | ||||
\(887\) | −0.253101 | + | 1.19075i | −0.00849831 | + | 0.0399814i | −0.982192 | − | 0.187878i | \(-0.939839\pi\) |
0.973694 | + | 0.227859i | \(0.0731725\pi\) | |||||||
\(888\) | 2.84771 | − | 0.605299i | 0.0955628 | − | 0.0203125i | ||||
\(889\) | −3.05532 | − | 19.2905i | −0.102472 | − | 0.646984i | ||||
\(890\) | 43.7741 | + | 11.7292i | 1.46731 | + | 0.393165i | ||||
\(891\) | −1.42953 | + | 2.99273i | −0.0478910 | + | 0.100260i | ||||
\(892\) | −6.68503 | + | 6.68503i | −0.223831 | + | 0.223831i | ||||
\(893\) | −18.6135 | − | 1.95636i | −0.622878 | − | 0.0654672i | ||||
\(894\) | 17.1720 | − | 15.4618i | 0.574318 | − | 0.517118i | ||||
\(895\) | 26.7046 | − | 17.3422i | 0.892637 | − | 0.579685i | ||||
\(896\) | −2.34794 | − | 3.23166i | −0.0784391 | − | 0.107962i | ||||
\(897\) | −16.2089 | + | 1.40869i | −0.541201 | + | 0.0470348i | ||||
\(898\) | −26.8369 | + | 8.71984i | −0.895559 | + | 0.290985i | ||||
\(899\) | −0.216087 | − | 0.0113246i | −0.00720691 | − | 0.000377698i | ||||
\(900\) | 1.76474 | − | 0.785713i | 0.0588247 | − | 0.0261904i | ||||
\(901\) | 4.45003 | + | 7.70767i | 0.148252 | + | 0.256780i | ||||
\(902\) | −4.27409 | − | 3.28344i | −0.142311 | − | 0.109327i | ||||
\(903\) | −2.91625 | + | 10.8836i | −0.0970467 | + | 0.362183i | ||||
\(904\) | 3.46755 | − | 2.80797i | 0.115329 | − | 0.0933916i | ||||
\(905\) | 8.21001 | + | 16.1130i | 0.272910 | + | 0.535616i | ||||
\(906\) | 6.26733 | − | 6.96057i | 0.208218 | − | 0.231249i | ||||
\(907\) | −43.6870 | + | 4.59169i | −1.45060 | + | 0.152465i | −0.796820 | − | 0.604217i | \(-0.793486\pi\) |
−0.653784 | + | 0.756681i | \(0.726819\pi\) | |||||||
\(908\) | −32.2961 | + | 39.8824i | −1.07178 | + | 1.32354i | ||||
\(909\) | 0.201522 | + | 0.620220i | 0.00668405 | + | 0.0205714i | ||||
\(910\) | 22.2427 | + | 15.0215i | 0.737337 | + | 0.497958i | ||||
\(911\) | 39.6190 | + | 28.7849i | 1.31264 | + | 0.953685i | 0.999993 | + | 0.00381441i | \(0.00121417\pi\) |
0.312642 | + | 0.949871i | \(0.398786\pi\) | |||||||
\(912\) | −1.98298 | − | 7.40059i | −0.0656631 | − | 0.245058i | ||||
\(913\) | −43.9194 | − | 18.2210i | −1.45352 | − | 0.603026i | ||||
\(914\) | 3.61716 | − | 2.08837i | 0.119645 | − | 0.0690770i | ||||
\(915\) | −29.8946 | + | 4.73484i | −0.988285 | + | 0.156529i | ||||
\(916\) | 29.6652 | + | 19.2648i | 0.980166 | + | 0.636527i | ||||
\(917\) | 0.523935 | + | 9.99728i | 0.0173019 | + | 0.330139i | ||||
\(918\) | 0.380140 | − | 2.40011i | 0.0125465 | − | 0.0792155i | ||||
\(919\) | 14.9369 | − | 33.5489i | 0.492724 | − | 1.10668i | −0.480538 | − | 0.876974i | \(-0.659558\pi\) |
0.973261 | − | 0.229701i | \(-0.0737749\pi\) | |||||||
\(920\) | −3.52132 | − | 0.748479i | −0.116094 | − | 0.0246766i | ||||
\(921\) | −1.30169 | + | 24.8377i | −0.0428921 | + | 0.818430i | ||||
\(922\) | 8.46663 | − | 11.6533i | 0.278834 | − | 0.383781i | ||||
\(923\) | −20.3003 | + | 5.04902i | −0.668193 | + | 0.166190i | ||||
\(924\) | 9.24241 | + | 1.71836i | 0.304053 | + | 0.0565298i | ||||
\(925\) | −9.13259 | + | 2.44707i | −0.300278 | + | 0.0804592i | ||||
\(926\) | 5.14105 | + | 11.5470i | 0.168945 | + | 0.379457i | ||||
\(927\) | 0.503868 | + | 2.37051i | 0.0165492 | + | 0.0778579i | ||||
\(928\) | 15.0226 | − | 29.4835i | 0.493140 | − | 0.967842i | ||||
\(929\) | −5.24585 | − | 13.6659i | −0.172111 | − | 0.448364i | 0.820209 | − | 0.572064i | \(-0.193857\pi\) |
−0.992320 | + | 0.123700i | \(0.960524\pi\) | |||||||
\(930\) | −0.0878241 | − | 0.228790i | −0.00287987 | − | 0.00750231i | ||||
\(931\) | 3.72783 | − | 7.31627i | 0.122175 | − | 0.239781i | ||||
\(932\) | −1.67745 | − | 7.89178i | −0.0549467 | − | 0.258504i | ||||
\(933\) | 5.46022 | + | 12.2639i | 0.178760 | + | 0.401501i | ||||
\(934\) | −57.9803 | + | 15.5358i | −1.89717 | + | 0.508346i | ||||
\(935\) | 7.34920 | − | 6.96628i | 0.240345 | − | 0.227822i | ||||
\(936\) | −1.13458 | + | 0.282188i | −0.0370848 | + | 0.00922359i | ||||
\(937\) | 14.2294 | − | 19.5852i | 0.464856 | − | 0.639819i | −0.510651 | − | 0.859788i | \(-0.670596\pi\) |
0.975507 | + | 0.219969i | \(0.0705956\pi\) | |||||||
\(938\) | 1.52741 | − | 29.1447i | 0.0498716 | − | 0.951607i | ||||
\(939\) | −19.5869 | − | 4.16331i | −0.639193 | − | 0.135865i | ||||
\(940\) | 19.2991 | − | 43.3465i | 0.629467 | − | 1.41381i | ||||
\(941\) | 3.88437 | − | 24.5249i | 0.126627 | − | 0.799490i | −0.839866 | − | 0.542794i | \(-0.817366\pi\) |
0.966492 | − | 0.256695i | \(-0.0826337\pi\) | |||||||
\(942\) | −2.47763 | − | 47.2760i | −0.0807256 | − | 1.54034i | ||||
\(943\) | −3.14070 | − | 2.03960i | −0.102275 | − | 0.0664184i | ||||
\(944\) | 19.0163 | − | 3.01189i | 0.618929 | − | 0.0980287i | ||||
\(945\) | 3.29224 | − | 1.90077i | 0.107097 | − | 0.0618322i | ||||
\(946\) | −3.74228 | + | 47.2107i | −0.121672 | + | 1.53495i | ||||
\(947\) | 7.04139 | + | 26.2788i | 0.228815 | + | 0.853948i | 0.980840 | + | 0.194814i | \(0.0624103\pi\) |
−0.752026 | + | 0.659134i | \(0.770923\pi\) | |||||||
\(948\) | −10.6642 | − | 7.74798i | −0.346356 | − | 0.251643i | ||||
\(949\) | 14.9853 | + | 10.1203i | 0.486442 | + | 0.328517i | ||||
\(950\) | 1.13439 | + | 3.49128i | 0.0368043 | + | 0.113272i | ||||
\(951\) | −18.8838 | + | 23.3196i | −0.612350 | + | 0.756189i | ||||
\(952\) | 0.618366 | − | 0.0649929i | 0.0200414 | − | 0.00210643i | ||||
\(953\) | 39.1820 | − | 43.5160i | 1.26923 | − | 1.40962i | 0.399018 | − | 0.916943i | \(-0.369351\pi\) |
0.870211 | − | 0.492678i | \(-0.163982\pi\) | |||||||
\(954\) | 6.37567 | + | 12.5130i | 0.206420 | + | 0.405122i | ||||
\(955\) | −14.4043 | + | 11.6644i | −0.466113 | + | 0.377451i | ||||
\(956\) | −12.2077 | + | 45.5599i | −0.394827 | + | 1.47351i | ||||
\(957\) | −3.99935 | − | 13.5295i | −0.129281 | − | 0.437347i | ||||
\(958\) | 12.7500 | + | 22.0836i | 0.411933 | + | 0.713489i | ||||
\(959\) | 11.2162 | − | 4.99376i | 0.362189 | − | 0.161257i | ||||
\(960\) | 16.2770 | + | 0.853041i | 0.525337 | + | 0.0275318i | ||||
\(961\) | 29.4803 | − | 9.57873i | 0.950977 | − | 0.308991i | ||||
\(962\) | −63.1512 | + | 5.48836i | −2.03608 | + | 0.176952i | ||||
\(963\) | −3.87351 | − | 5.33142i | −0.124822 | − | 0.171803i | ||||
\(964\) | −45.3166 | + | 29.4290i | −1.45955 | + | 0.947843i | ||||
\(965\) | 18.0261 | − | 16.2308i | 0.580282 | − | 0.522488i | ||||
\(966\) | 13.5785 | + | 1.42716i | 0.436883 | + | 0.0459182i | ||||
\(967\) | 2.80337 | − | 2.80337i | 0.0901504 | − | 0.0901504i | −0.660593 | − | 0.750744i | \(-0.729695\pi\) |
0.750744 | + | 0.660593i | \(0.229695\pi\) | |||||||
\(968\) | −3.56688 | − | 0.00401175i | −0.114644 | − | 0.000128943i | ||||
\(969\) | 2.13393 | + | 0.571784i | 0.0685517 | + | 0.0183684i | ||||
\(970\) | 5.93830 | + | 37.4929i | 0.190667 | + | 1.20383i | ||||
\(971\) | 1.56957 | − | 0.333623i | 0.0503700 | − | 0.0107065i | −0.182658 | − | 0.983177i | \(-0.558470\pi\) |
0.233028 | + | 0.972470i | \(0.425137\pi\) | |||||||
\(972\) | 0.381394 | − | 1.79432i | 0.0122332 | − | 0.0575528i | ||||
\(973\) | 11.0142 | + | 8.91915i | 0.353100 | + | 0.285935i | ||||
\(974\) | 42.3196 | − | 30.7470i | 1.35601 | − | 0.985198i | ||||
\(975\) | 3.63161 | − | 1.10801i | 0.116305 | − | 0.0354847i | ||||
\(976\) | −50.3547 | − | 16.3612i | −1.61182 | − | 0.523711i | ||||
\(977\) | 11.6031 | + | 4.45402i | 0.371217 | + | 0.142497i | 0.536822 | − | 0.843695i | \(-0.319625\pi\) |
−0.165606 | + | 0.986192i | \(0.552958\pi\) | |||||||
\(978\) | −32.7013 | − | 18.8801i | −1.04567 | − | 0.603720i | ||||
\(979\) | 31.1882 | − | 0.799142i | 0.996780 | − | 0.0255407i | ||||
\(980\) | 14.7198 | + | 14.7198i | 0.470208 | + | 0.470208i | ||||
\(981\) | −9.56664 | − | 11.8138i | −0.305439 | − | 0.377186i | ||||
\(982\) | 25.8110 | − | 39.7455i | 0.823663 | − | 1.26833i | ||||
\(983\) | 29.4622 | + | 15.0117i | 0.939698 | + | 0.478800i | 0.855589 | − | 0.517656i | \(-0.173195\pi\) |
0.0841096 | + | 0.996457i | \(0.473195\pi\) | |||||||
\(984\) | −0.245836 | − | 0.109453i | −0.00783695 | − | 0.00348924i | ||||
\(985\) | 1.92730 | + | 18.3371i | 0.0614090 | + | 0.584267i | ||||
\(986\) | 5.62984 | + | 8.66920i | 0.179291 | + | 0.276084i | ||||
\(987\) | 5.01991 | − | 15.4497i | 0.159786 | − | 0.491770i | ||||
\(988\) | 1.63197 | + | 11.6608i | 0.0519199 | + | 0.370980i | ||||
\(989\) | 32.9058i | 1.04634i | ||||||||
\(990\) | 12.1559 | − | 10.3703i | 0.386340 | − | 0.329590i | ||||
\(991\) | −8.65910 | + | 14.9980i | −0.275065 | + | 0.476427i | −0.970152 | − | 0.242499i | \(-0.922033\pi\) |
0.695086 | + | 0.718926i | \(0.255366\pi\) | |||||||
\(992\) | 0.0413622 | − | 0.393535i | 0.00131325 | − | 0.0124948i | ||||
\(993\) | −18.5751 | + | 9.46450i | −0.589464 | + | 0.300347i | ||||
\(994\) | 17.5304 | − | 0.918728i | 0.556030 | − | 0.0291403i | ||||
\(995\) | −20.5367 | + | 7.88332i | −0.651059 | + | 0.249918i | ||||
\(996\) | 25.9753 | + | 4.11409i | 0.823060 | + | 0.130360i | ||||
\(997\) | 15.4588 | + | 13.9191i | 0.489584 | + | 0.440823i | 0.876579 | − | 0.481259i | \(-0.159820\pi\) |
−0.386995 | + | 0.922082i | \(0.626487\pi\) | |||||||
\(998\) | 47.5729 | + | 52.8351i | 1.50590 | + | 1.67247i | ||||
\(999\) | −3.21754 | + | 8.38198i | −0.101799 | + | 0.265194i |
(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 | 429.2.bs.a.7.12 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.a.85.12 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.a.106.12 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.a.184.12 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.a.7.12 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.a.85.12 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.a.106.12 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.a.184.12 | yes | 224 | 143.41 | even | 60 | inner |