Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.30 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.30 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0806237 | − | 0.205426i | 0.0570096 | − | 0.145258i | −0.899531 | − | 0.436856i | \(-0.856092\pi\) |
0.956541 | + | 0.291598i | \(0.0941871\pi\) | |||||||
\(3\) | 1.34036 | + | 1.09702i | 0.773855 | + | 0.633362i | ||||
\(4\) | 1.43040 | + | 1.32722i | 0.715202 | + | 0.663611i | ||||
\(5\) | −1.38173 | + | 0.665407i | −0.617929 | + | 0.297579i | −0.716539 | − | 0.697547i | \(-0.754275\pi\) |
0.0986098 | + | 0.995126i | \(0.468560\pi\) | |||||||
\(6\) | 0.333420 | − | 0.186898i | 0.136118 | − | 0.0763010i | ||||
\(7\) | 1.96729 | − | 1.76912i | 0.743564 | − | 0.668665i | ||||
\(8\) | 0.785623 | − | 0.378336i | 0.277760 | − | 0.133762i | ||||
\(9\) | 0.593112 | + | 2.94079i | 0.197704 | + | 0.980262i | ||||
\(10\) | 0.0252914 | + | 0.337491i | 0.00799786 | + | 0.106724i | ||||
\(11\) | 0.0398701 | + | 0.0499956i | 0.0120213 | + | 0.0150742i | 0.787806 | − | 0.615924i | \(-0.211217\pi\) |
−0.775785 | + | 0.630998i | \(0.782646\pi\) | |||||||
\(12\) | 0.461269 | + | 3.34813i | 0.133157 | + | 0.966521i | ||||
\(13\) | 1.11271 | − | 2.83515i | 0.308611 | − | 0.786329i | −0.689464 | − | 0.724320i | \(-0.742154\pi\) |
0.998076 | − | 0.0620090i | \(-0.0197508\pi\) | |||||||
\(14\) | −0.204813 | − | 0.546764i | −0.0547386 | − | 0.146129i | ||||
\(15\) | −2.58197 | − | 0.623899i | −0.666663 | − | 0.161090i | ||||
\(16\) | 0.277262 | + | 3.69980i | 0.0693154 | + | 0.924949i | ||||
\(17\) | −0.801577 | + | 0.743755i | −0.194411 | + | 0.180387i | −0.771372 | − | 0.636385i | \(-0.780429\pi\) |
0.576961 | + | 0.816772i | \(0.304239\pi\) | |||||||
\(18\) | 0.651932 | + | 0.115256i | 0.153662 | + | 0.0271662i | ||||
\(19\) | 1.21732 | − | 2.10846i | 0.279272 | − | 0.483714i | −0.691932 | − | 0.721963i | \(-0.743240\pi\) |
0.971204 | + | 0.238249i | \(0.0765734\pi\) | |||||||
\(20\) | −2.85958 | − | 0.882062i | −0.639421 | − | 0.197235i | ||||
\(21\) | 4.57762 | − | 0.213109i | 0.998918 | − | 0.0465043i | ||||
\(22\) | 0.0134849 | − | 0.00415953i | 0.00287498 | − | 0.000886814i | ||||
\(23\) | −0.970419 | + | 4.25168i | −0.202346 | + | 0.886537i | 0.767157 | + | 0.641459i | \(0.221671\pi\) |
−0.969503 | + | 0.245078i | \(0.921186\pi\) | |||||||
\(24\) | 1.46806 | + | 0.354735i | 0.299666 | + | 0.0724101i | ||||
\(25\) | −1.65103 | + | 2.07033i | −0.330207 | + | 0.414066i | ||||
\(26\) | −0.492702 | − | 0.457160i | −0.0966267 | − | 0.0896565i | ||||
\(27\) | −2.43111 | + | 4.59235i | −0.467867 | + | 0.883799i | ||||
\(28\) | 5.16203 | + | 0.0804652i | 0.975532 | + | 0.0152065i | ||||
\(29\) | −6.56487 | − | 2.02500i | −1.21907 | − | 0.376032i | −0.382530 | − | 0.923943i | \(-0.624947\pi\) |
−0.836537 | + | 0.547911i | \(0.815423\pi\) | |||||||
\(30\) | −0.336333 | + | 0.480103i | −0.0614058 | + | 0.0876544i | ||||
\(31\) | 2.22792 | − | 3.85887i | 0.400146 | − | 0.693074i | −0.593597 | − | 0.804762i | \(-0.702293\pi\) |
0.993743 | + | 0.111689i | \(0.0356260\pi\) | |||||||
\(32\) | 2.44886 | + | 0.755373i | 0.432901 | + | 0.133532i | ||||
\(33\) | −0.00140573 | + | 0.110750i | −0.000244706 | + | 0.0192791i | ||||
\(34\) | 0.0881603 | + | 0.224629i | 0.0151194 | + | 0.0385235i | ||||
\(35\) | −1.54108 | + | 3.75349i | −0.260489 | + | 0.634456i | ||||
\(36\) | −3.05468 | + | 4.99370i | −0.509114 | + | 0.832284i | ||||
\(37\) | −5.70557 | − | 1.75994i | −0.937990 | − | 0.289332i | −0.212183 | − | 0.977230i | \(-0.568057\pi\) |
−0.725807 | + | 0.687898i | \(0.758534\pi\) | |||||||
\(38\) | −0.334987 | − | 0.420061i | −0.0543421 | − | 0.0681429i | ||||
\(39\) | 4.60164 | − | 2.57945i | 0.736851 | − | 0.413042i | ||||
\(40\) | −0.833772 | + | 1.04552i | −0.131831 | + | 0.165311i | ||||
\(41\) | −0.558435 | − | 0.380734i | −0.0872128 | − | 0.0594607i | 0.518929 | − | 0.854818i | \(-0.326331\pi\) |
−0.606141 | + | 0.795357i | \(0.707283\pi\) | |||||||
\(42\) | 0.325286 | − | 0.957543i | 0.0501928 | − | 0.147752i | ||||
\(43\) | −2.01428 | + | 1.37332i | −0.307175 | + | 0.209429i | −0.707090 | − | 0.707124i | \(-0.749992\pi\) |
0.399914 | + | 0.916553i | \(0.369040\pi\) | |||||||
\(44\) | −0.00932477 | + | 0.124430i | −0.00140576 | + | 0.0187586i | ||||
\(45\) | −2.77634 | − | 3.66871i | −0.413872 | − | 0.546900i | ||||
\(46\) | 0.795167 | + | 0.542136i | 0.117241 | + | 0.0799335i | ||||
\(47\) | 2.11660 | − | 5.39301i | 0.308738 | − | 0.786651i | −0.689326 | − | 0.724451i | \(-0.742093\pi\) |
0.998064 | − | 0.0621999i | \(-0.0198116\pi\) | |||||||
\(48\) | −3.68711 | + | 5.26321i | −0.532188 | + | 0.759679i | ||||
\(49\) | 0.740424 | − | 6.96073i | 0.105775 | − | 0.994390i | ||||
\(50\) | 0.292187 | + | 0.506083i | 0.0413215 | + | 0.0715709i | ||||
\(51\) | −1.89031 | + | 0.117554i | −0.264696 | + | 0.0164609i | ||||
\(52\) | 5.35450 | − | 2.57859i | 0.742535 | − | 0.357586i | ||||
\(53\) | 1.62876 | − | 0.502405i | 0.223727 | − | 0.0690106i | −0.180865 | − | 0.983508i | \(-0.557890\pi\) |
0.404592 | + | 0.914497i | \(0.367414\pi\) | |||||||
\(54\) | 0.747384 | + | 0.869665i | 0.101706 | + | 0.118346i | ||||
\(55\) | −0.0883572 | − | 0.0425506i | −0.0119141 | − | 0.00573752i | ||||
\(56\) | 0.876222 | − | 2.13416i | 0.117090 | − | 0.285189i | ||||
\(57\) | 3.94466 | − | 1.49067i | 0.522483 | − | 0.197444i | ||||
\(58\) | −0.945271 | + | 1.18533i | −0.124120 | + | 0.155642i | ||||
\(59\) | 5.64984 | − | 3.85200i | 0.735547 | − | 0.501488i | −0.136664 | − | 0.990617i | \(-0.543638\pi\) |
0.872211 | + | 0.489130i | \(0.162686\pi\) | |||||||
\(60\) | −2.86522 | − | 4.31928i | −0.369898 | − | 0.557616i | ||||
\(61\) | 5.96717 | − | 5.53673i | 0.764018 | − | 0.708906i | −0.198506 | − | 0.980100i | \(-0.563609\pi\) |
0.962525 | + | 0.271194i | \(0.0874185\pi\) | |||||||
\(62\) | −0.613088 | − | 0.768789i | −0.0778623 | − | 0.0976363i | ||||
\(63\) | 6.36943 | + | 4.73608i | 0.802472 | + | 0.596690i | ||||
\(64\) | −4.27390 | + | 5.35930i | −0.534237 | + | 0.669913i | ||||
\(65\) | 0.349055 | + | 4.65782i | 0.0432950 | + | 0.577731i | ||||
\(66\) | 0.0226376 | + | 0.00921785i | 0.00278649 | + | 0.00113464i | ||||
\(67\) | 1.86458 | − | 3.22955i | 0.227795 | − | 0.394552i | −0.729359 | − | 0.684131i | \(-0.760182\pi\) |
0.957154 | + | 0.289578i | \(0.0935151\pi\) | |||||||
\(68\) | −2.13371 | −0.258750 | ||||||||
\(69\) | −5.96487 | + | 4.63421i | −0.718086 | + | 0.557893i | ||||
\(70\) | 0.646817 | + | 0.619197i | 0.0773095 | + | 0.0740082i | ||||
\(71\) | 3.60578 | − | 15.7980i | 0.427928 | − | 1.87487i | −0.0537965 | − | 0.998552i | \(-0.517132\pi\) |
0.481724 | − | 0.876323i | \(-0.340011\pi\) | |||||||
\(72\) | 1.57857 | + | 2.08595i | 0.186036 | + | 0.245832i | ||||
\(73\) | 5.25791 | + | 0.792503i | 0.615392 | + | 0.0927554i | 0.449339 | − | 0.893361i | \(-0.351660\pi\) |
0.166053 | + | 0.986117i | \(0.446898\pi\) | |||||||
\(74\) | −0.821541 | + | 1.03018i | −0.0955022 | + | 0.119756i | ||||
\(75\) | −4.48416 | + | 0.963772i | −0.517786 | + | 0.111287i | ||||
\(76\) | 4.53965 | − | 1.40030i | 0.520734 | − | 0.160625i | ||||
\(77\) | 0.166884 | + | 0.0278205i | 0.0190182 | + | 0.00317044i | ||||
\(78\) | −0.158884 | − | 1.15326i | −0.0179900 | − | 0.130581i | ||||
\(79\) | 1.27141 | + | 2.20214i | 0.143044 | + | 0.247760i | 0.928642 | − | 0.370978i | \(-0.120978\pi\) |
−0.785597 | + | 0.618738i | \(0.787644\pi\) | |||||||
\(80\) | −2.84497 | − | 4.92763i | −0.318077 | − | 0.550926i | ||||
\(81\) | −8.29644 | + | 3.48843i | −0.921826 | + | 0.387604i | ||||
\(82\) | −0.123236 | + | 0.0840207i | −0.0136091 | + | 0.00927853i | ||||
\(83\) | 2.30249 | + | 5.86665i | 0.252731 | + | 0.643948i | 0.999783 | − | 0.0208173i | \(-0.00662682\pi\) |
−0.747052 | + | 0.664765i | \(0.768532\pi\) | |||||||
\(84\) | 6.83069 | + | 5.77068i | 0.745289 | + | 0.629633i | ||||
\(85\) | 0.612665 | − | 1.56104i | 0.0664528 | − | 0.169319i | ||||
\(86\) | 0.119715 | + | 0.524508i | 0.0129093 | + | 0.0565591i | ||||
\(87\) | −6.57782 | − | 9.91599i | −0.705217 | − | 1.06311i | ||||
\(88\) | 0.0502380 | + | 0.0241934i | 0.00535539 | + | 0.00257902i | ||||
\(89\) | −3.26015 | − | 8.30672i | −0.345575 | − | 0.880511i | −0.992971 | − | 0.118357i | \(-0.962237\pi\) |
0.647396 | − | 0.762154i | \(-0.275858\pi\) | |||||||
\(90\) | −0.977487 | + | 0.274547i | −0.103036 | + | 0.0289398i | ||||
\(91\) | −2.82669 | − | 7.54607i | −0.296318 | − | 0.791043i | ||||
\(92\) | −7.03102 | + | 4.79367i | −0.733034 | + | 0.499774i | ||||
\(93\) | 7.21945 | − | 2.72820i | 0.748622 | − | 0.282901i | ||||
\(94\) | −0.937215 | − | 0.869609i | −0.0966664 | − | 0.0896933i | ||||
\(95\) | −0.279026 | + | 3.72334i | −0.0286274 | + | 0.382007i | ||||
\(96\) | 2.45369 | + | 3.69891i | 0.250429 | + | 0.377518i | ||||
\(97\) | −5.13497 | + | 8.89402i | −0.521377 | + | 0.903051i | 0.478314 | + | 0.878189i | \(0.341248\pi\) |
−0.999691 | + | 0.0248622i | \(0.992085\pi\) | |||||||
\(98\) | −1.37022 | − | 0.713302i | −0.138413 | − | 0.0720544i | ||||
\(99\) | −0.123379 | + | 0.146903i | −0.0124000 | + | 0.0147643i | ||||
\(100\) | −5.10943 | + | 0.770123i | −0.510943 | + | 0.0770123i | ||||
\(101\) | −1.70839 | + | 0.822716i | −0.169991 | + | 0.0818633i | −0.516944 | − | 0.856019i | \(-0.672931\pi\) |
0.346953 | + | 0.937882i | \(0.387216\pi\) | |||||||
\(102\) | −0.128255 | + | 0.397796i | −0.0126991 | + | 0.0393877i | ||||
\(103\) | −3.19745 | + | 1.53981i | −0.315054 | + | 0.151722i | −0.584727 | − | 0.811230i | \(-0.698799\pi\) |
0.269673 | + | 0.962952i | \(0.413084\pi\) | |||||||
\(104\) | −0.198465 | − | 2.64834i | −0.0194611 | − | 0.259691i | ||||
\(105\) | −6.18323 | + | 3.34044i | −0.603422 | + | 0.325993i | ||||
\(106\) | 0.0281094 | − | 0.375094i | 0.00273023 | − | 0.0364324i | ||||
\(107\) | 1.57829 | + | 4.02141i | 0.152579 | + | 0.388765i | 0.986642 | − | 0.162905i | \(-0.0520863\pi\) |
−0.834063 | + | 0.551669i | \(0.813991\pi\) | |||||||
\(108\) | −9.57253 | + | 3.34231i | −0.921118 | + | 0.321614i | ||||
\(109\) | −5.00369 | + | 12.7492i | −0.479267 | + | 1.22115i | 0.463021 | + | 0.886347i | \(0.346765\pi\) |
−0.942288 | + | 0.334804i | \(0.891330\pi\) | |||||||
\(110\) | −0.0158647 | + | 0.0147203i | −0.00151264 | + | 0.00140352i | ||||
\(111\) | −5.71682 | − | 8.61805i | −0.542617 | − | 0.817989i | ||||
\(112\) | 7.09084 | + | 6.78805i | 0.670021 | + | 0.641410i | ||||
\(113\) | −15.8568 | − | 2.39003i | −1.49168 | − | 0.224835i | −0.647984 | − | 0.761654i | \(-0.724388\pi\) |
−0.843697 | + | 0.536819i | \(0.819626\pi\) | |||||||
\(114\) | 0.0118109 | − | 0.930518i | 0.00110619 | − | 0.0871510i | ||||
\(115\) | −1.48824 | − | 6.52041i | −0.138779 | − | 0.608031i | ||||
\(116\) | −6.70281 | − | 11.6096i | −0.622340 | − | 1.07792i | ||||
\(117\) | 8.99753 | + | 1.59069i | 0.831822 | + | 0.147059i | ||||
\(118\) | −0.335789 | − | 1.47119i | −0.0309119 | − | 0.135434i | ||||
\(119\) | −0.261139 | + | 2.88126i | −0.0239386 | + | 0.264125i | ||||
\(120\) | −2.26450 | + | 0.486705i | −0.206720 | + | 0.0444299i | ||||
\(121\) | 2.44682 | − | 10.7202i | 0.222438 | − | 0.974565i | ||||
\(122\) | −0.656291 | − | 1.67220i | −0.0594178 | − | 0.151394i | ||||
\(123\) | −0.330830 | − | 1.12293i | −0.0298299 | − | 0.101251i | ||||
\(124\) | 8.30840 | − | 2.56280i | 0.746116 | − | 0.230146i | ||||
\(125\) | 2.60997 | − | 11.4350i | 0.233443 | − | 1.02278i | ||||
\(126\) | 1.48644 | − | 0.926604i | 0.132423 | − | 0.0825485i | ||||
\(127\) | −3.74694 | − | 16.4164i | −0.332487 | − | 1.45672i | −0.814299 | − | 0.580445i | \(-0.802879\pi\) |
0.481812 | − | 0.876274i | \(-0.339979\pi\) | |||||||
\(128\) | 3.31908 | + | 5.74881i | 0.293368 | + | 0.508128i | ||||
\(129\) | −4.20641 | − | 0.368969i | −0.370354 | − | 0.0324859i | ||||
\(130\) | 0.984979 | + | 0.303826i | 0.0863883 | + | 0.0266473i | ||||
\(131\) | −16.2408 | − | 7.82115i | −1.41896 | − | 0.683337i | −0.442054 | − | 0.896988i | \(-0.645750\pi\) |
−0.976910 | + | 0.213651i | \(0.931464\pi\) | |||||||
\(132\) | −0.149001 | + | 0.156552i | −0.0129688 | + | 0.0136261i | ||||
\(133\) | −1.33531 | − | 6.30153i | −0.115786 | − | 0.546412i | ||||
\(134\) | −0.513104 | − | 0.643411i | −0.0443254 | − | 0.0555823i | ||||
\(135\) | 0.303351 | − | 7.96307i | 0.0261083 | − | 0.685352i | ||||
\(136\) | −0.348348 | + | 0.887576i | −0.0298706 | + | 0.0761090i | ||||
\(137\) | 5.49942 | + | 2.64838i | 0.469848 | + | 0.226267i | 0.653798 | − | 0.756669i | \(-0.273174\pi\) |
−0.183951 | + | 0.982935i | \(0.558889\pi\) | |||||||
\(138\) | 0.471076 | + | 1.59897i | 0.0401006 | + | 0.136113i | ||||
\(139\) | 11.0043 | + | 7.50259i | 0.933371 | + | 0.636362i | 0.931541 | − | 0.363637i | \(-0.118465\pi\) |
0.00183033 | + | 0.999998i | \(0.499417\pi\) | |||||||
\(140\) | −7.18608 | + | 3.32367i | −0.607334 | + | 0.280901i | ||||
\(141\) | 8.75322 | − | 4.90661i | 0.737154 | − | 0.413211i | ||||
\(142\) | −2.95460 | − | 2.01441i | −0.247945 | − | 0.169046i | ||||
\(143\) | 0.186109 | − | 0.0574070i | 0.0155632 | − | 0.00480061i | ||||
\(144\) | −10.7159 | + | 3.00976i | −0.892989 | + | 0.250814i | ||||
\(145\) | 10.4183 | − | 1.57031i | 0.865196 | − | 0.130407i | ||||
\(146\) | 0.586713 | − | 1.01622i | 0.0485567 | − | 0.0841027i | ||||
\(147\) | 8.62846 | − | 8.51761i | 0.711664 | − | 0.702520i | ||||
\(148\) | −5.82545 | − | 10.0900i | −0.478849 | − | 0.829391i | ||||
\(149\) | 1.73934 | + | 2.18106i | 0.142492 | + | 0.178680i | 0.847956 | − | 0.530066i | \(-0.177833\pi\) |
−0.705464 | + | 0.708746i | \(0.749261\pi\) | |||||||
\(150\) | −0.163546 | + | 0.998865i | −0.0133535 | + | 0.0815570i | ||||
\(151\) | −2.65240 | + | 11.6209i | −0.215850 | + | 0.945699i | 0.744658 | + | 0.667446i | \(0.232613\pi\) |
−0.960508 | + | 0.278253i | \(0.910245\pi\) | |||||||
\(152\) | 0.158648 | − | 2.11701i | 0.0128681 | − | 0.171712i | ||||
\(153\) | −2.66265 | − | 1.91614i | −0.215262 | − | 0.154910i | ||||
\(154\) | 0.0191699 | − | 0.0320393i | 0.00154475 | − | 0.00258180i | ||||
\(155\) | −0.510668 | + | 6.81439i | −0.0410179 | + | 0.547345i | ||||
\(156\) | 10.0057 | + | 2.41774i | 0.801097 | + | 0.193574i | ||||
\(157\) | −9.47472 | + | 6.45975i | −0.756165 | + | 0.515544i | −0.878965 | − | 0.476887i | \(-0.841765\pi\) |
0.122800 | + | 0.992431i | \(0.460813\pi\) | |||||||
\(158\) | 0.554881 | − | 0.0836349i | 0.0441440 | − | 0.00665364i | ||||
\(159\) | 2.73426 | + | 1.11337i | 0.216841 | + | 0.0882960i | ||||
\(160\) | −3.88630 | + | 0.585765i | −0.307239 | + | 0.0463088i | ||||
\(161\) | 5.61265 | + | 10.0811i | 0.442339 | + | 0.794499i | ||||
\(162\) | 0.0477248 | + | 1.98555i | 0.00374961 | + | 0.156000i | ||||
\(163\) | −6.02981 | + | 4.11106i | −0.472292 | + | 0.322003i | −0.775968 | − | 0.630772i | \(-0.782738\pi\) |
0.303676 | + | 0.952775i | \(0.401786\pi\) | |||||||
\(164\) | −0.293469 | − | 1.28577i | −0.0229161 | − | 0.100402i | ||||
\(165\) | −0.0717515 | − | 0.153962i | −0.00558585 | − | 0.0119859i | ||||
\(166\) | 1.39080 | 0.107947 | ||||||||
\(167\) | −18.6299 | + | 17.2861i | −1.44163 | + | 1.33764i | −0.597049 | + | 0.802205i | \(0.703660\pi\) |
−0.844579 | + | 0.535430i | \(0.820149\pi\) | |||||||
\(168\) | 3.51565 | − | 1.89930i | 0.271239 | − | 0.146534i | ||||
\(169\) | 2.72974 | + | 2.53283i | 0.209980 | + | 0.194833i | ||||
\(170\) | −0.271283 | − | 0.251714i | −0.0208065 | − | 0.0193056i | ||||
\(171\) | 6.92254 | + | 2.32932i | 0.529380 | + | 0.178128i | ||||
\(172\) | −4.70393 | − | 0.709004i | −0.358672 | − | 0.0540610i | ||||
\(173\) | 22.0655 | − | 6.80630i | 1.67761 | − | 0.517473i | 0.697609 | − | 0.716478i | \(-0.254247\pi\) |
0.979998 | + | 0.199005i | \(0.0637710\pi\) | |||||||
\(174\) | −2.56733 | + | 0.551791i | −0.194629 | + | 0.0418312i | ||||
\(175\) | 0.414610 | + | 6.99381i | 0.0313416 | + | 0.528682i | ||||
\(176\) | −0.173919 | + | 0.161373i | −0.0131096 | + | 0.0121640i | ||||
\(177\) | 11.7985 | + | 1.03492i | 0.886830 | + | 0.0777891i | ||||
\(178\) | −1.96926 | −0.147602 | ||||||||
\(179\) | −5.83807 | + | 5.41694i | −0.436358 | + | 0.404881i | −0.867527 | − | 0.497390i | \(-0.834292\pi\) |
0.431169 | + | 0.902271i | \(0.358101\pi\) | |||||||
\(180\) | 0.897906 | − | 8.93256i | 0.0669260 | − | 0.665794i | ||||
\(181\) | −0.0211404 | + | 0.0265092i | −0.00157135 | + | 0.00197041i | −0.782617 | − | 0.622504i | \(-0.786115\pi\) |
0.781045 | + | 0.624475i | \(0.214687\pi\) | |||||||
\(182\) | −1.77806 | − | 0.0277162i | −0.131798 | − | 0.00205446i | ||||
\(183\) | 14.0720 | − | 0.875107i | 1.04023 | − | 0.0646897i | ||||
\(184\) | 0.846182 | + | 3.70736i | 0.0623813 | + | 0.273310i | ||||
\(185\) | 9.05464 | − | 1.36477i | 0.665710 | − | 0.100340i | ||||
\(186\) | 0.0216161 | − | 1.70302i | 0.00158497 | − | 0.124871i | ||||
\(187\) | −0.0691434 | − | 0.0104217i | −0.00505627 | − | 0.000762110i | ||||
\(188\) | 10.1853 | − | 4.90499i | 0.742840 | − | 0.357733i | ||||
\(189\) | 3.34175 | + | 13.3354i | 0.243077 | + | 0.970007i | ||||
\(190\) | 0.742374 | + | 0.357509i | 0.0538575 | + | 0.0259364i | ||||
\(191\) | 15.8792 | + | 10.8262i | 1.14898 | + | 0.783360i | 0.979355 | − | 0.202150i | \(-0.0647927\pi\) |
0.169623 | + | 0.985509i | \(0.445745\pi\) | |||||||
\(192\) | −11.6078 | + | 2.49484i | −0.837720 | + | 0.180049i | ||||
\(193\) | −1.75737 | + | 23.4504i | −0.126498 | + | 1.68800i | 0.467864 | + | 0.883801i | \(0.345024\pi\) |
−0.594362 | + | 0.804198i | \(0.702595\pi\) | |||||||
\(194\) | 1.41306 | + | 1.77192i | 0.101452 | + | 0.127217i | ||||
\(195\) | −4.64184 | + | 6.62606i | −0.332409 | + | 0.474502i | ||||
\(196\) | 10.2975 | − | 8.97395i | 0.735538 | − | 0.640997i | ||||
\(197\) | 9.68250 | 0.689849 | 0.344925 | − | 0.938630i | \(-0.387904\pi\) | ||||
0.344925 | + | 0.938630i | \(0.387904\pi\) | |||||||
\(198\) | 0.0202303 | + | 0.0371890i | 0.00143771 | + | 0.00264291i | ||||
\(199\) | 0.223680 | + | 0.152502i | 0.0158563 | + | 0.0108106i | 0.571222 | − | 0.820795i | \(-0.306469\pi\) |
−0.555366 | + | 0.831606i | \(0.687422\pi\) | |||||||
\(200\) | −0.513809 | + | 2.25114i | −0.0363318 | + | 0.159180i | ||||
\(201\) | 6.04207 | − | 2.28327i | 0.426175 | − | 0.161050i | ||||
\(202\) | 0.0312706 | + | 0.417277i | 0.00220019 | + | 0.0293595i | ||||
\(203\) | −16.4974 | + | 7.63031i | −1.15789 | + | 0.535543i | ||||
\(204\) | −2.85993 | − | 2.34071i | −0.200235 | − | 0.163882i | ||||
\(205\) | 1.02495 | + | 0.154486i | 0.0715856 | + | 0.0107898i | ||||
\(206\) | 0.0585266 | + | 0.780984i | 0.00407774 | + | 0.0544137i | ||||
\(207\) | −13.0789 | − | 0.332068i | −0.909043 | − | 0.0230803i | ||||
\(208\) | 10.7980 | + | 3.33074i | 0.748706 | + | 0.230945i | ||||
\(209\) | 0.153948 | − | 0.0232040i | 0.0106488 | − | 0.00160505i | ||||
\(210\) | 0.187697 | + | 1.53951i | 0.0129523 | + | 0.106237i | ||||
\(211\) | −0.121643 | − | 0.0183348i | −0.00837427 | − | 0.00126222i | 0.144854 | − | 0.989453i | \(-0.453729\pi\) |
−0.153228 | + | 0.988191i | \(0.548967\pi\) | |||||||
\(212\) | 2.99658 | + | 1.44308i | 0.205806 | + | 0.0991110i | ||||
\(213\) | 22.1637 | − | 17.2193i | 1.51863 | − | 1.17985i | ||||
\(214\) | 0.953350 | 0.0651696 | ||||||||
\(215\) | 1.86939 | − | 3.23787i | 0.127491 | − | 0.220821i | ||||
\(216\) | −0.172479 | + | 4.52763i | −0.0117357 | + | 0.308066i | ||||
\(217\) | −2.44385 | − | 11.5330i | −0.165900 | − | 0.782908i | ||||
\(218\) | 2.21560 | + | 2.05577i | 0.150059 | + | 0.139235i | ||||
\(219\) | 6.17809 | + | 6.83025i | 0.417477 | + | 0.461545i | ||||
\(220\) | −0.0699125 | − | 0.178134i | −0.00471350 | − | 0.0120098i | ||||
\(221\) | 1.21673 | + | 3.10018i | 0.0818461 | + | 0.208540i | ||||
\(222\) | −2.23128 | + | 0.479565i | −0.149754 | + | 0.0321863i | ||||
\(223\) | −13.6951 | − | 12.7072i | −0.917089 | − | 0.850934i | 0.0721276 | − | 0.997395i | \(-0.477021\pi\) |
−0.989216 | + | 0.146461i | \(0.953212\pi\) | |||||||
\(224\) | 6.15395 | − | 2.84629i | 0.411178 | − | 0.190176i | ||||
\(225\) | −7.06765 | − | 3.62740i | −0.471176 | − | 0.241826i | ||||
\(226\) | −1.76941 | + | 3.06470i | −0.117699 | + | 0.203861i | ||||
\(227\) | −12.1711 | −0.807824 | −0.403912 | − | 0.914798i | \(-0.632350\pi\) | ||||
−0.403912 | + | 0.914798i | \(0.632350\pi\) | |||||||
\(228\) | 7.62091 | + | 3.10317i | 0.504707 | + | 0.205513i | ||||
\(229\) | −8.17445 | − | 3.93661i | −0.540183 | − | 0.260138i | 0.143837 | − | 0.989601i | \(-0.454056\pi\) |
−0.684020 | + | 0.729463i | \(0.739770\pi\) | |||||||
\(230\) | −1.45945 | − | 0.219976i | −0.0962331 | − | 0.0145048i | ||||
\(231\) | 0.193165 | + | 0.220364i | 0.0127093 | + | 0.0144989i | ||||
\(232\) | −5.92364 | + | 0.892846i | −0.388906 | + | 0.0586182i | ||||
\(233\) | 24.0708 | + | 7.42486i | 1.57693 | + | 0.486419i | 0.954988 | − | 0.296644i | \(-0.0958674\pi\) |
0.621943 | + | 0.783063i | \(0.286344\pi\) | |||||||
\(234\) | 1.05218 | − | 1.72008i | 0.0687833 | − | 0.112445i | ||||
\(235\) | 0.663972 | + | 8.86009i | 0.0433128 | + | 0.577969i | ||||
\(236\) | 13.1940 | + | 1.98868i | 0.858857 | + | 0.129452i | ||||
\(237\) | −0.711644 | + | 4.34640i | −0.0462263 | + | 0.282329i | ||||
\(238\) | 0.570832 | + | 0.285943i | 0.0370015 | + | 0.0185349i | ||||
\(239\) | 1.49851 | + | 19.9963i | 0.0969309 | + | 1.29345i | 0.807518 | + | 0.589843i | \(0.200810\pi\) |
−0.710587 | + | 0.703609i | \(0.751571\pi\) | |||||||
\(240\) | 1.59242 | − | 9.72577i | 0.102790 | − | 0.627796i | ||||
\(241\) | 0.944796 | − | 4.13942i | 0.0608596 | − | 0.266644i | −0.935339 | − | 0.353752i | \(-0.884906\pi\) |
0.996199 | + | 0.0871087i | \(0.0277627\pi\) | |||||||
\(242\) | −2.00494 | − | 1.36694i | −0.128882 | − | 0.0878705i | ||||
\(243\) | −14.9470 | − | 4.42558i | −0.958854 | − | 0.283901i | ||||
\(244\) | 15.8839 | 1.01686 | ||||||||
\(245\) | 3.60865 | + | 10.1105i | 0.230548 | + | 0.645939i | ||||
\(246\) | −0.257352 | − | 0.0225738i | −0.0164082 | − | 0.00143926i | ||||
\(247\) | −4.62327 | − | 5.79740i | −0.294172 | − | 0.368880i | ||||
\(248\) | 0.290355 | − | 3.87452i | 0.0184376 | − | 0.246032i | ||||
\(249\) | −3.34965 | + | 10.3893i | −0.212275 | + | 0.658393i | ||||
\(250\) | −2.13862 | − | 1.45809i | −0.135258 | − | 0.0922177i | ||||
\(251\) | −8.11443 | − | 3.90770i | −0.512178 | − | 0.246652i | 0.159899 | − | 0.987133i | \(-0.448883\pi\) |
−0.672077 | + | 0.740481i | \(0.734598\pi\) | |||||||
\(252\) | 2.82503 | + | 15.2281i | 0.177960 | + | 0.959283i | ||||
\(253\) | −0.251256 | + | 0.120999i | −0.0157963 | + | 0.00760711i | ||||
\(254\) | −3.67444 | − | 0.553833i | −0.230555 | − | 0.0347506i | ||||
\(255\) | 2.53368 | − | 1.42025i | 0.158665 | − | 0.0889397i | ||||
\(256\) | −12.1079 | + | 1.82498i | −0.756746 | + | 0.114061i | ||||
\(257\) | −2.95882 | − | 12.9635i | −0.184566 | − | 0.808638i | −0.979419 | − | 0.201836i | \(-0.935309\pi\) |
0.794853 | − | 0.606802i | \(-0.207548\pi\) | |||||||
\(258\) | −0.414932 | + | 0.834357i | −0.0258325 | + | 0.0519448i | ||||
\(259\) | −14.3380 | + | 6.63155i | −0.890922 | + | 0.412064i | ||||
\(260\) | −5.68267 | + | 7.12584i | −0.352424 | + | 0.441926i | ||||
\(261\) | 2.06137 | − | 20.5069i | 0.127596 | − | 1.26935i | ||||
\(262\) | −2.91606 | + | 2.70571i | −0.180155 | + | 0.167159i | ||||
\(263\) | 29.8155 | 1.83850 | 0.919250 | − | 0.393675i | \(-0.128796\pi\) | ||||
0.919250 | + | 0.393675i | \(0.128796\pi\) | |||||||
\(264\) | 0.0407964 | + | 0.0875396i | 0.00251084 | + | 0.00538769i | ||||
\(265\) | −1.91620 | + | 1.77797i | −0.117711 | + | 0.109220i | ||||
\(266\) | −1.40215 | − | 0.233747i | −0.0859716 | − | 0.0143319i | ||||
\(267\) | 4.74284 | − | 14.7104i | 0.290257 | − | 0.900262i | ||||
\(268\) | 6.95343 | − | 2.14485i | 0.424748 | − | 0.131018i | ||||
\(269\) | 18.1620 | + | 2.73749i | 1.10736 | + | 0.166907i | 0.677166 | − | 0.735830i | \(-0.263208\pi\) |
0.430192 | + | 0.902737i | \(0.358446\pi\) | |||||||
\(270\) | −1.61136 | − | 0.704329i | −0.0980645 | − | 0.0428641i | ||||
\(271\) | 10.2319 | + | 9.49383i | 0.621545 | + | 0.576709i | 0.926797 | − | 0.375562i | \(-0.122550\pi\) |
−0.305252 | + | 0.952272i | \(0.598741\pi\) | |||||||
\(272\) | −2.97399 | − | 2.75946i | −0.180325 | − | 0.167317i | ||||
\(273\) | 4.48938 | − | 13.2154i | 0.271710 | − | 0.799830i | ||||
\(274\) | 0.987430 | − | 0.916201i | 0.0596528 | − | 0.0553497i | ||||
\(275\) | −0.169334 | −0.0102112 | ||||||||
\(276\) | −14.6828 | − | 1.28791i | −0.883800 | − | 0.0775233i | ||||
\(277\) | −1.80118 | − | 7.89148i | −0.108222 | − | 0.474153i | −0.999775 | − | 0.0212350i | \(-0.993240\pi\) |
0.891552 | − | 0.452918i | \(-0.149617\pi\) | |||||||
\(278\) | 2.42843 | − | 1.65568i | 0.145648 | − | 0.0993009i | ||||
\(279\) | 12.6695 | + | 4.26309i | 0.758504 | + | 0.255225i | ||||
\(280\) | 0.209378 | + | 3.53187i | 0.0125127 | + | 0.211070i | ||||
\(281\) | 9.24875 | − | 1.39403i | 0.551734 | − | 0.0831606i | 0.132743 | − | 0.991151i | \(-0.457622\pi\) |
0.418992 | + | 0.907990i | \(0.362384\pi\) | |||||||
\(282\) | −0.302228 | − | 2.19373i | −0.0179974 | − | 0.130634i | ||||
\(283\) | −31.0801 | + | 4.68457i | −1.84752 | + | 0.278469i | −0.976933 | − | 0.213546i | \(-0.931499\pi\) |
−0.870587 | + | 0.492015i | \(0.836261\pi\) | |||||||
\(284\) | 26.1251 | − | 17.8118i | 1.55024 | − | 1.05694i | ||||
\(285\) | −4.45856 | + | 4.68451i | −0.264102 | + | 0.277486i | ||||
\(286\) | 0.00321191 | − | 0.0428599i | 0.000189924 | − | 0.00253436i | ||||
\(287\) | −1.77217 | + | 0.238925i | −0.104608 | + | 0.0141033i | ||||
\(288\) | −0.768941 | + | 7.64959i | −0.0453103 | + | 0.450757i | ||||
\(289\) | −1.18106 | + | 15.7601i | −0.0694739 | + | 0.927065i | ||||
\(290\) | 0.517382 | − | 2.26680i | 0.0303817 | − | 0.133111i | ||||
\(291\) | −16.6396 | + | 6.28802i | −0.975429 | + | 0.368610i | ||||
\(292\) | 6.46911 | + | 8.11201i | 0.378576 | + | 0.474720i | ||||
\(293\) | −14.9848 | − | 25.9544i | −0.875419 | − | 1.51627i | −0.856316 | − | 0.516452i | \(-0.827252\pi\) |
−0.0191029 | − | 0.999818i | \(-0.506081\pi\) | |||||||
\(294\) | −1.05408 | − | 2.45923i | −0.0614750 | − | 0.143425i | ||||
\(295\) | −5.24342 | + | 9.08187i | −0.305284 | + | 0.528767i | ||||
\(296\) | −5.14827 | + | 0.775978i | −0.299237 | + | 0.0451028i | ||||
\(297\) | −0.326526 | + | 0.0615533i | −0.0189470 | + | 0.00357168i | ||||
\(298\) | 0.588278 | − | 0.181460i | 0.0340781 | − | 0.0105117i | ||||
\(299\) | 10.9744 | + | 7.48219i | 0.634663 | + | 0.432706i | ||||
\(300\) | −7.69330 | − | 4.57289i | −0.444173 | − | 0.264016i | ||||
\(301\) | −1.53311 | + | 6.26522i | −0.0883670 | + | 0.361121i | ||||
\(302\) | 2.17340 | + | 1.48180i | 0.125065 | + | 0.0852678i | ||||
\(303\) | −3.19238 | − | 0.771395i | −0.183397 | − | 0.0443155i | ||||
\(304\) | 8.13840 | + | 3.91924i | 0.466769 | + | 0.224784i | ||||
\(305\) | −4.56086 | + | 11.6209i | −0.261154 | + | 0.665409i | ||||
\(306\) | −0.608296 | + | 0.392491i | −0.0347740 | + | 0.0224372i | ||||
\(307\) | −3.37882 | − | 4.23690i | −0.192839 | − | 0.241813i | 0.676007 | − | 0.736896i | \(-0.263709\pi\) |
−0.868846 | + | 0.495083i | \(0.835138\pi\) | |||||||
\(308\) | 0.201788 | + | 0.261287i | 0.0114979 | + | 0.0148882i | ||||
\(309\) | −5.97492 | − | 1.44376i | −0.339901 | − | 0.0821325i | ||||
\(310\) | 1.35868 | + | 0.654306i | 0.0771679 | + | 0.0371621i | ||||
\(311\) | 26.8561 | + | 8.28402i | 1.52287 | + | 0.469744i | 0.939525 | − | 0.342480i | \(-0.111267\pi\) |
0.583346 | + | 0.812224i | \(0.301743\pi\) | |||||||
\(312\) | 2.63925 | − | 3.76744i | 0.149418 | − | 0.213289i | ||||
\(313\) | 2.51029 | + | 4.34795i | 0.141890 | + | 0.245761i | 0.928208 | − | 0.372061i | \(-0.121349\pi\) |
−0.786318 | + | 0.617822i | \(0.788015\pi\) | |||||||
\(314\) | 0.563113 | + | 2.46716i | 0.0317783 | + | 0.139230i | ||||
\(315\) | −11.9523 | − | 2.30573i | −0.673433 | − | 0.129913i | ||||
\(316\) | −1.10410 | + | 4.83738i | −0.0621106 | + | 0.272124i | ||||
\(317\) | −32.7445 | + | 10.1003i | −1.83911 | + | 0.567291i | −0.839394 | + | 0.543523i | \(0.817090\pi\) |
−0.999718 | + | 0.0237679i | \(0.992434\pi\) | |||||||
\(318\) | 0.449161 | − | 0.471924i | 0.0251877 | − | 0.0264642i | ||||
\(319\) | −0.160502 | − | 0.408952i | −0.00898637 | − | 0.0228969i | ||||
\(320\) | 2.33927 | − | 10.2490i | 0.130769 | − | 0.572936i | ||||
\(321\) | −2.29609 | + | 7.12154i | −0.128155 | + | 0.397485i | ||||
\(322\) | 2.52342 | − | 0.340211i | 0.140625 | − | 0.0189592i | ||||
\(323\) | 0.592402 | + | 2.59548i | 0.0329621 | + | 0.144416i | ||||
\(324\) | −16.4972 | − | 6.02134i | −0.916510 | − | 0.334519i | ||||
\(325\) | 4.03257 | + | 6.98461i | 0.223687 | + | 0.387437i | ||||
\(326\) | 0.358372 | + | 1.57013i | 0.0198484 | + | 0.0869614i | ||||
\(327\) | −20.6928 | + | 11.5993i | −1.14431 | + | 0.641445i | ||||
\(328\) | −0.582764 | − | 0.0878376i | −0.0321778 | − | 0.00485002i | ||||
\(329\) | −5.37693 | − | 14.3541i | −0.296440 | − | 0.791368i | ||||
\(330\) | −0.0374127 | + | 0.00232661i | −0.00205950 | + | 0.000128076i | ||||
\(331\) | −9.10260 | + | 8.44598i | −0.500324 | + | 0.464233i | −0.889503 | − | 0.456929i | \(-0.848949\pi\) |
0.389179 | + | 0.921162i | \(0.372759\pi\) | |||||||
\(332\) | −4.49285 | + | 11.4476i | −0.246577 | + | 0.628268i | ||||
\(333\) | 1.79155 | − | 17.8227i | 0.0981762 | − | 0.976678i | ||||
\(334\) | 2.04899 | + | 5.22074i | 0.112116 | + | 0.285666i | ||||
\(335\) | −0.427386 | + | 5.70308i | −0.0233506 | + | 0.311592i | ||||
\(336\) | 2.05766 | + | 16.8772i | 0.112255 | + | 0.920725i | ||||
\(337\) | 0.289495 | + | 3.86305i | 0.0157698 | + | 0.210433i | 0.999522 | + | 0.0309038i | \(0.00983855\pi\) |
−0.983753 | + | 0.179530i | \(0.942542\pi\) | |||||||
\(338\) | 0.740390 | − | 0.356553i | 0.0402719 | − | 0.0193939i | ||||
\(339\) | −18.6319 | − | 20.5986i | −1.01194 | − | 1.11876i | ||||
\(340\) | 2.94821 | − | 1.41978i | 0.159889 | − | 0.0769985i | ||||
\(341\) | 0.281754 | − | 0.0424676i | 0.0152578 | − | 0.00229975i | ||||
\(342\) | 1.03662 | − | 1.23427i | 0.0560542 | − | 0.0667417i | ||||
\(343\) | −10.8577 | − | 15.0036i | −0.586263 | − | 0.810121i | ||||
\(344\) | −1.06289 | + | 1.84098i | −0.0573073 | + | 0.0992592i | ||||
\(345\) | 5.15822 | − | 10.3723i | 0.277709 | − | 0.558426i | ||||
\(346\) | 0.380811 | − | 5.08157i | 0.0204725 | − | 0.273187i | ||||
\(347\) | 8.30681 | + | 7.70759i | 0.445933 | + | 0.413765i | 0.870913 | − | 0.491438i | \(-0.163528\pi\) |
−0.424980 | + | 0.905203i | \(0.639719\pi\) | |||||||
\(348\) | 3.75177 | − | 22.9141i | 0.201116 | − | 1.22832i | ||||
\(349\) | 18.0059 | − | 12.2762i | 0.963836 | − | 0.657132i | 0.0243444 | − | 0.999704i | \(-0.492250\pi\) |
0.939492 | + | 0.342571i | \(0.111298\pi\) | |||||||
\(350\) | 1.47014 | + | 0.478695i | 0.0785821 | + | 0.0255873i | ||||
\(351\) | 10.3149 | + | 12.0025i | 0.550568 | + | 0.640647i | ||||
\(352\) | 0.0598711 | + | 0.152549i | 0.00319114 | + | 0.00813089i | ||||
\(353\) | 15.1586 | + | 7.29999i | 0.806810 | + | 0.388539i | 0.791367 | − | 0.611341i | \(-0.209370\pi\) |
0.0154432 | + | 0.999881i | \(0.495084\pi\) | |||||||
\(354\) | 1.16384 | − | 2.34028i | 0.0618573 | − | 0.124384i | ||||
\(355\) | 5.52985 | + | 24.2279i | 0.293494 | + | 1.28588i | ||||
\(356\) | 6.36153 | − | 16.2089i | 0.337160 | − | 0.859070i | ||||
\(357\) | −3.51081 | + | 3.57545i | −0.185812 | + | 0.189233i | ||||
\(358\) | 0.642092 | + | 1.63602i | 0.0339356 | + | 0.0864666i | ||||
\(359\) | 15.1639 | − | 10.3386i | 0.800319 | − | 0.545648i | −0.0926861 | − | 0.995695i | \(-0.529545\pi\) |
0.893005 | + | 0.450047i | \(0.148593\pi\) | |||||||
\(360\) | −3.56916 | − | 1.83184i | −0.188111 | − | 0.0965462i | ||||
\(361\) | 6.53626 | + | 11.3211i | 0.344014 | + | 0.595849i | ||||
\(362\) | 0.00374126 | + | 0.00648005i | 0.000196636 | + | 0.000340584i | ||||
\(363\) | 15.0399 | − | 11.6847i | 0.789388 | − | 0.613289i | ||||
\(364\) | 5.97199 | − | 14.5456i | 0.313017 | − | 0.762395i | ||||
\(365\) | −7.79236 | + | 2.40362i | −0.407871 | + | 0.125811i | ||||
\(366\) | 0.954769 | − | 2.96131i | 0.0499066 | − | 0.154790i | ||||
\(367\) | −20.2665 | + | 25.4134i | −1.05790 | + | 1.32657i | −0.115052 | + | 0.993360i | \(0.536703\pi\) |
−0.942853 | + | 0.333210i | \(0.891868\pi\) | |||||||
\(368\) | −15.9994 | − | 2.41153i | −0.834028 | − | 0.125709i | ||||
\(369\) | 0.788443 | − | 1.86805i | 0.0410447 | − | 0.0972470i | ||||
\(370\) | 0.449660 | − | 1.97009i | 0.0233767 | − | 0.102420i | ||||
\(371\) | 2.31541 | − | 3.86984i | 0.120210 | − | 0.200912i | ||||
\(372\) | 13.9477 | + | 5.67938i | 0.723152 | + | 0.294462i | ||||
\(373\) | −3.59268 | −0.186022 | −0.0930109 | − | 0.995665i | \(-0.529649\pi\) | ||||
−0.0930109 | + | 0.995665i | \(0.529649\pi\) | |||||||
\(374\) | −0.00771548 | + | 0.0133636i | −0.000398958 | + | 0.000691016i | ||||
\(375\) | 16.0427 | − | 12.4638i | 0.828441 | − | 0.643630i | ||||
\(376\) | −0.377520 | − | 5.03766i | −0.0194691 | − | 0.259797i | ||||
\(377\) | −13.0460 | + | 16.3592i | −0.671903 | + | 0.842539i | ||||
\(378\) | 3.00886 | + | 0.388667i | 0.154759 | + | 0.0199909i | ||||
\(379\) | −17.7950 | − | 22.3143i | −0.914069 | − | 1.14621i | −0.988836 | − | 0.149005i | \(-0.952393\pi\) |
0.0747672 | − | 0.997201i | \(-0.476179\pi\) | |||||||
\(380\) | −5.34081 | + | 4.95555i | −0.273978 | + | 0.254214i | ||||
\(381\) | 12.9868 | − | 26.1143i | 0.665335 | − | 1.33787i | ||||
\(382\) | 3.50423 | − | 2.38914i | 0.179292 | − | 0.122239i | ||||
\(383\) | −19.0881 | + | 23.9357i | −0.975354 | + | 1.22306i | −0.000548767 | 1.00000i | \(0.500175\pi\) | |
−0.974806 | + | 0.223056i | \(0.928397\pi\) | |||||||
\(384\) | −1.85779 | + | 11.3465i | −0.0948048 | + | 0.579025i | ||||
\(385\) | −0.249101 | + | 0.0726054i | −0.0126954 | + | 0.00370031i | ||||
\(386\) | 4.67564 | + | 2.25167i | 0.237984 | + | 0.114607i | ||||
\(387\) | −5.23332 | − | 5.10905i | −0.266025 | − | 0.259707i | ||||
\(388\) | −19.1494 | + | 5.90681i | −0.972164 | + | 0.299873i | ||||
\(389\) | 29.0175 | − | 13.9741i | 1.47124 | − | 0.708514i | 0.485109 | − | 0.874454i | \(-0.338780\pi\) |
0.986136 | + | 0.165940i | \(0.0530657\pi\) | |||||||
\(390\) | 0.986921 | + | 1.48777i | 0.0499747 | + | 0.0753363i | ||||
\(391\) | −2.38434 | − | 4.12981i | −0.120581 | − | 0.208853i | ||||
\(392\) | −2.05180 | − | 5.74864i | −0.103632 | − | 0.290350i | ||||
\(393\) | −13.1885 | − | 28.2995i | −0.665273 | − | 1.42752i | ||||
\(394\) | 0.780639 | − | 1.98903i | 0.0393280 | − | 0.100206i | ||||
\(395\) | −3.22206 | − | 2.19676i | −0.162119 | − | 0.110531i | ||||
\(396\) | −0.371454 | + | 0.0463791i | −0.0186662 | + | 0.00233064i | ||||
\(397\) | 1.55502 | − | 20.7504i | 0.0780444 | − | 1.04143i | −0.811431 | − | 0.584448i | \(-0.801311\pi\) |
0.889476 | − | 0.456983i | \(-0.151070\pi\) | |||||||
\(398\) | 0.0493618 | − | 0.0336543i | 0.00247429 | − | 0.00168694i | ||||
\(399\) | 5.12310 | − | 9.91115i | 0.256476 | − | 0.496178i | ||||
\(400\) | −8.11757 | − | 5.53447i | −0.405879 | − | 0.276723i | ||||
\(401\) | −0.0705793 | + | 0.0885037i | −0.00352456 | + | 0.00441966i | −0.783591 | − | 0.621277i | \(-0.786614\pi\) |
0.780066 | + | 0.625697i | \(0.215185\pi\) | |||||||
\(402\) | 0.0180908 | − | 1.42528i | 0.000902288 | − | 0.0710867i | ||||
\(403\) | −8.46143 | − | 10.6103i | −0.421494 | − | 0.528537i | ||||
\(404\) | −3.53561 | − | 1.09059i | −0.175903 | − | 0.0542589i | ||||
\(405\) | 9.14222 | − | 10.3406i | 0.454280 | − | 0.513828i | ||||
\(406\) | 0.237378 | + | 4.00418i | 0.0117809 | + | 0.198724i | ||||
\(407\) | −0.139493 | − | 0.355422i | −0.00691441 | − | 0.0176176i | ||||
\(408\) | −1.44060 | + | 0.807525i | −0.0713201 | + | 0.0399785i | ||||
\(409\) | −3.35783 | − | 1.03575i | −0.166034 | − | 0.0512148i | 0.210624 | − | 0.977567i | \(-0.432451\pi\) |
−0.376658 | + | 0.926352i | \(0.622927\pi\) | |||||||
\(410\) | 0.114371 | − | 0.198096i | 0.00564837 | − | 0.00978326i | ||||
\(411\) | 4.46587 | + | 9.58273i | 0.220285 | + | 0.472681i | ||||
\(412\) | −6.61731 | − | 2.04117i | −0.326012 | − | 0.100561i | ||||
\(413\) | 4.30021 | − | 17.5732i | 0.211599 | − | 0.864723i | ||||
\(414\) | −1.12268 | + | 2.65996i | −0.0551768 | + | 0.130730i | ||||
\(415\) | −7.08513 | − | 6.57404i | −0.347795 | − | 0.322707i | ||||
\(416\) | 4.86647 | − | 6.10237i | 0.238599 | − | 0.299193i | ||||
\(417\) | 6.51920 | + | 22.1280i | 0.319247 | + | 1.08361i | ||||
\(418\) | 0.00764519 | − | 0.0334958i | 0.000373939 | − | 0.00163833i | ||||
\(419\) | −31.2817 | + | 9.64913i | −1.52821 | + | 0.471391i | −0.941104 | − | 0.338118i | \(-0.890210\pi\) |
−0.587107 | + | 0.809509i | \(0.699733\pi\) | |||||||
\(420\) | −13.2780 | − | 3.42834i | −0.647901 | − | 0.167286i | ||||
\(421\) | −37.1099 | − | 11.4469i | −1.80862 | − | 0.557887i | −0.809069 | − | 0.587714i | \(-0.800028\pi\) |
−0.999555 | + | 0.0298277i | \(0.990504\pi\) | |||||||
\(422\) | −0.0135738 | + | 0.0235104i | −0.000660760 | + | 0.00114447i | ||||
\(423\) | 17.1151 | + | 3.02581i | 0.832163 | + | 0.147120i | ||||
\(424\) | 1.08951 | − | 1.01092i | 0.0529113 | − | 0.0490945i | ||||
\(425\) | −0.216388 | − | 2.88749i | −0.0104963 | − | 0.140064i | ||||
\(426\) | −1.75038 | − | 5.94127i | −0.0848060 | − | 0.287856i | ||||
\(427\) | 1.94399 | − | 21.4490i | 0.0940765 | − | 1.03799i | ||||
\(428\) | −3.07971 | + | 7.84699i | −0.148864 | + | 0.379298i | ||||
\(429\) | 0.312429 | + | 0.127219i | 0.0150842 | + | 0.00614217i | ||||
\(430\) | −0.514426 | − | 0.645069i | −0.0248078 | − | 0.0311080i | ||||
\(431\) | 0.234286 | + | 3.12633i | 0.0112852 | + | 0.150590i | 1.00000 | 0.000778312i | \(0.000247744\pi\) | |
−0.988715 | + | 0.149812i | \(0.952133\pi\) | |||||||
\(432\) | −17.6648 | − | 7.72132i | −0.849900 | − | 0.371492i | ||||
\(433\) | 25.5970 | − | 12.3269i | 1.23011 | − | 0.592391i | 0.298003 | − | 0.954565i | \(-0.403680\pi\) |
0.932111 | + | 0.362174i | \(0.117965\pi\) | |||||||
\(434\) | −2.56620 | − | 0.427799i | −0.123182 | − | 0.0205350i | ||||
\(435\) | 15.6869 | + | 9.32430i | 0.752132 | + | 0.447066i | ||||
\(436\) | −24.0783 | + | 11.5955i | −1.15314 | + | 0.555324i | ||||
\(437\) | 7.78320 | + | 7.22175i | 0.372321 | + | 0.345463i | ||||
\(438\) | 1.90121 | − | 0.718459i | 0.0908433 | − | 0.0343293i | ||||
\(439\) | −9.93071 | + | 25.3030i | −0.473967 | + | 1.20765i | 0.471481 | + | 0.881876i | \(0.343720\pi\) |
−0.945448 | + | 0.325772i | \(0.894376\pi\) | |||||||
\(440\) | −0.0855139 | −0.00407671 | ||||||||
\(441\) | 20.9092 | − | 1.95107i | 0.995675 | − | 0.0929080i | ||||
\(442\) | 0.734953 | 0.0349582 | ||||||||
\(443\) | −13.4391 | + | 34.2424i | −0.638513 | + | 1.62691i | 0.133315 | + | 0.991074i | \(0.457438\pi\) |
−0.771828 | + | 0.635831i | \(0.780657\pi\) | |||||||
\(444\) | 3.26068 | − | 19.9148i | 0.154745 | − | 0.945114i | ||||
\(445\) | 10.0320 | + | 9.30833i | 0.475562 | + | 0.441257i | ||||
\(446\) | −3.71452 | + | 1.78882i | −0.175888 | + | 0.0847031i | ||||
\(447\) | −0.0613250 | + | 4.83148i | −0.00290057 | + | 0.228521i | ||||
\(448\) | 1.07327 | + | 18.1043i | 0.0507072 | + | 0.855349i | ||||
\(449\) | −10.4368 | + | 5.02612i | −0.492545 | + | 0.237197i | −0.663633 | − | 0.748059i | \(-0.730986\pi\) |
0.171088 | + | 0.985256i | \(0.445272\pi\) | |||||||
\(450\) | −1.31498 | + | 1.15942i | −0.0619888 | + | 0.0546557i | ||||
\(451\) | −0.00322984 | − | 0.0430992i | −0.000152087 | − | 0.00202946i | ||||
\(452\) | −19.5095 | − | 24.4642i | −0.917651 | − | 1.15070i | ||||
\(453\) | −16.3035 | + | 12.6665i | −0.766007 | + | 0.595123i | ||||
\(454\) | −0.981278 | + | 2.50026i | −0.0460537 | + | 0.117343i | ||||
\(455\) | 8.92694 | + | 8.54574i | 0.418501 | + | 0.400631i | ||||
\(456\) | 2.53504 | − | 2.66351i | 0.118714 | − | 0.124730i | ||||
\(457\) | −0.555825 | − | 7.41697i | −0.0260004 | − | 0.346951i | −0.994999 | − | 0.0998849i | \(-0.968153\pi\) |
0.968999 | − | 0.247066i | \(-0.0794665\pi\) | |||||||
\(458\) | −1.46774 | + | 1.36186i | −0.0685828 | + | 0.0636355i | ||||
\(459\) | −1.46687 | − | 5.48927i | −0.0684675 | − | 0.256217i | ||||
\(460\) | 6.52524 | − | 11.3020i | 0.304241 | − | 0.526960i | ||||
\(461\) | 0.261683 | + | 0.0807184i | 0.0121878 | + | 0.00375943i | 0.300843 | − | 0.953674i | \(-0.402732\pi\) |
−0.288655 | + | 0.957433i | \(0.593208\pi\) | |||||||
\(462\) | 0.0608421 | − | 0.0219145i | 0.00283063 | − | 0.00101955i | ||||
\(463\) | 35.7987 | − | 11.0425i | 1.66371 | − | 0.513186i | 0.686801 | − | 0.726846i | \(-0.259015\pi\) |
0.976908 | + | 0.213660i | \(0.0685383\pi\) | |||||||
\(464\) | 5.67189 | − | 24.8502i | 0.263311 | − | 1.15364i | ||||
\(465\) | −8.15998 | + | 8.57351i | −0.378410 | + | 0.397587i | ||||
\(466\) | 3.46594 | − | 4.34615i | 0.160556 | − | 0.201331i | ||||
\(467\) | −25.9699 | − | 24.0965i | −1.20174 | − | 1.11506i | −0.990484 | − | 0.137625i | \(-0.956053\pi\) |
−0.211259 | − | 0.977430i | \(-0.567756\pi\) | |||||||
\(468\) | 10.7589 | + | 14.2170i | 0.497330 | + | 0.657183i | ||||
\(469\) | −2.04530 | − | 9.65212i | −0.0944432 | − | 0.445693i | ||||
\(470\) | 1.87362 | + | 0.577936i | 0.0864238 | + | 0.0266582i | ||||
\(471\) | −19.7860 | − | 1.73554i | −0.911689 | − | 0.0799696i | ||||
\(472\) | 2.98130 | − | 5.16376i | 0.137225 | − | 0.237681i | ||||
\(473\) | −0.148970 | − | 0.0459510i | −0.00684963 | − | 0.00211283i | ||||
\(474\) | 0.835488 | + | 0.496613i | 0.0383752 | + | 0.0228102i | ||||
\(475\) | 2.35537 | + | 6.00140i | 0.108072 | + | 0.275363i | ||||
\(476\) | −4.19761 | + | 3.77478i | −0.192397 | + | 0.173017i | ||||
\(477\) | 2.44350 | + | 4.49184i | 0.111880 | + | 0.205667i | ||||
\(478\) | 4.22857 | + | 1.30434i | 0.193410 | + | 0.0596592i | ||||
\(479\) | 5.35046 | + | 6.70926i | 0.244469 | + | 0.306554i | 0.888894 | − | 0.458113i | \(-0.151475\pi\) |
−0.644425 | + | 0.764667i | \(0.722903\pi\) | |||||||
\(480\) | −5.85162 | − | 3.47819i | −0.267089 | − | 0.158757i | ||||
\(481\) | −11.3383 | + | 14.2178i | −0.516984 | + | 0.648278i | ||||
\(482\) | −0.774171 | − | 0.527821i | −0.0352625 | − | 0.0240416i | ||||
\(483\) | −3.53613 | + | 19.6694i | −0.160900 | + | 0.894988i | ||||
\(484\) | 17.7280 | − | 12.0868i | 0.805820 | − | 0.549399i | ||||
\(485\) | 1.17700 | − | 15.7060i | 0.0534449 | − | 0.713172i | ||||
\(486\) | −2.11421 | + | 2.71370i | −0.0959027 | + | 0.123096i | ||||
\(487\) | 8.88112 | + | 6.05505i | 0.402442 | + | 0.274380i | 0.747580 | − | 0.664172i | \(-0.231216\pi\) |
−0.345138 | + | 0.938552i | \(0.612168\pi\) | |||||||
\(488\) | 2.59320 | − | 6.60738i | 0.117389 | − | 0.299102i | ||||
\(489\) | −12.5920 | − | 1.10452i | −0.569430 | − | 0.0499480i | ||||
\(490\) | 2.36791 | + | 0.0738394i | 0.106971 | + | 0.00333572i | ||||
\(491\) | 17.7334 | + | 30.7152i | 0.800299 | + | 1.38616i | 0.919419 | + | 0.393279i | \(0.128659\pi\) |
−0.119120 | + | 0.992880i | \(0.538007\pi\) | |||||||
\(492\) | 1.01716 | − | 2.04533i | 0.0458570 | − | 0.0922106i | ||||
\(493\) | 6.76835 | − | 3.25947i | 0.304831 | − | 0.146799i | ||||
\(494\) | −1.56368 | + | 0.482332i | −0.0703533 | + | 0.0217011i | ||||
\(495\) | 0.0727264 | − | 0.285077i | 0.00326881 | − | 0.0128133i | ||||
\(496\) | 14.8948 | + | 7.17294i | 0.668794 | + | 0.322074i | ||||
\(497\) | −20.8549 | − | 37.4582i | −0.935471 | − | 1.68023i | ||||
\(498\) | 1.86416 | + | 1.52572i | 0.0835351 | + | 0.0683694i | ||||
\(499\) | 15.6631 | − | 19.6409i | 0.701178 | − | 0.879249i | −0.295933 | − | 0.955209i | \(-0.595631\pi\) |
0.997111 | + | 0.0759594i | \(0.0242019\pi\) | |||||||
\(500\) | 18.9101 | − | 12.8927i | 0.845686 | − | 0.576579i | ||||
\(501\) | −43.9338 | + | 2.73214i | −1.96282 | + | 0.122063i | ||||
\(502\) | −1.45696 | + | 1.35186i | −0.0650272 | + | 0.0603364i | ||||
\(503\) | 10.0660 | + | 12.6224i | 0.448823 | + | 0.562806i | 0.953845 | − | 0.300301i | \(-0.0970871\pi\) |
−0.505022 | + | 0.863106i | \(0.668516\pi\) | |||||||
\(504\) | 6.79579 | + | 1.31099i | 0.302709 | + | 0.0583960i | ||||
\(505\) | 1.81309 | − | 2.27354i | 0.0806815 | − | 0.101171i | ||||
\(506\) | 0.00459903 | + | 0.0613698i | 0.000204452 | + | 0.00272822i | ||||
\(507\) | 0.880272 | + | 6.38946i | 0.0390943 | + | 0.283766i | ||||
\(508\) | 16.4286 | − | 28.4551i | 0.728899 | − | 1.26249i | ||||
\(509\) | 5.11317 | 0.226637 | 0.113319 | − | 0.993559i | \(-0.463852\pi\) | ||||
0.113319 | + | 0.993559i | \(0.463852\pi\) | |||||||
\(510\) | −0.0874821 | − | 0.634989i | −0.00387377 | − | 0.0281178i | ||||
\(511\) | 11.7458 | − | 7.74280i | 0.519606 | − | 0.342521i | ||||
\(512\) | −3.55554 | + | 15.5779i | −0.157134 | + | 0.688450i | ||||
\(513\) | 6.72337 | + | 10.7163i | 0.296844 | + | 0.473134i | ||||
\(514\) | −2.90158 | − | 0.437343i | −0.127983 | − | 0.0192904i | ||||
\(515\) | 3.39341 | − | 4.25521i | 0.149532 | − | 0.187507i | ||||
\(516\) | −5.52716 | − | 6.11061i | −0.243320 | − | 0.269005i | ||||
\(517\) | 0.354016 | − | 0.109199i | 0.0155696 | − | 0.00480258i | ||||
\(518\) | 0.206307 | + | 3.48006i | 0.00906460 | + | 0.152905i | ||||
\(519\) | 37.0422 | + | 15.0833i | 1.62597 | + | 0.662084i | ||||
\(520\) | 2.03645 | + | 3.52723i | 0.0893041 | + | 0.154679i | ||||
\(521\) | 7.81330 | + | 13.5330i | 0.342307 | + | 0.592893i | 0.984861 | − | 0.173348i | \(-0.0554584\pi\) |
−0.642554 | + | 0.766241i | \(0.722125\pi\) | |||||||
\(522\) | −4.04646 | − | 2.07680i | −0.177109 | − | 0.0908992i | ||||
\(523\) | −19.2591 | + | 13.1306i | −0.842140 | + | 0.574161i | −0.905749 | − | 0.423814i | \(-0.860691\pi\) |
0.0636096 | + | 0.997975i | \(0.479739\pi\) | |||||||
\(524\) | −12.8505 | − | 32.7425i | −0.561376 | − | 1.43036i | ||||
\(525\) | −7.11659 | + | 9.82903i | −0.310594 | + | 0.428974i | ||||
\(526\) | 2.40383 | − | 6.12486i | 0.104812 | − | 0.267057i | ||||
\(527\) | 1.08420 | + | 4.75021i | 0.0472287 | + | 0.206922i | ||||
\(528\) | −0.410143 | + | 0.0255058i | −0.0178492 | + | 0.00111000i | ||||
\(529\) | 3.58718 | + | 1.72750i | 0.155965 | + | 0.0751086i | ||||
\(530\) | 0.210751 | + | 0.536984i | 0.00915442 | + | 0.0233251i | ||||
\(531\) | 14.6789 | + | 14.3303i | 0.637010 | + | 0.621883i | ||||
\(532\) | 6.45350 | − | 10.7860i | 0.279795 | − | 0.467632i | ||||
\(533\) | −1.70082 | + | 1.15960i | −0.0736705 | + | 0.0502277i | ||||
\(534\) | −2.63951 | − | 2.16031i | −0.114223 | − | 0.0934857i | ||||
\(535\) | −4.85665 | − | 4.50631i | −0.209971 | − | 0.194825i | ||||
\(536\) | 0.243003 | − | 3.24265i | 0.0104961 | − | 0.140061i | ||||
\(537\) | −13.7676 | + | 0.856173i | −0.594114 | + | 0.0369466i | ||||
\(538\) | 2.02664 | − | 3.51024i | 0.0873747 | − | 0.151337i | ||||
\(539\) | 0.377527 | − | 0.240507i | 0.0162612 | − | 0.0103594i | ||||
\(540\) | 11.0027 | − | 10.9878i | 0.473480 | − | 0.472840i | ||||
\(541\) | −6.29551 | + | 0.948896i | −0.270665 | + | 0.0407962i | −0.282972 | − | 0.959128i | \(-0.591321\pi\) |
0.0123072 | + | 0.999924i | \(0.496082\pi\) | |||||||
\(542\) | 2.77521 | − | 1.33647i | 0.119206 | − | 0.0574064i | ||||
\(543\) | −0.0574167 | + | 0.0123405i | −0.00246399 | + | 0.000529580i | ||||
\(544\) | −2.52476 | + | 1.21586i | −0.108248 | + | 0.0521296i | ||||
\(545\) | −1.56965 | − | 20.9455i | −0.0672362 | − | 0.897205i | ||||
\(546\) | −2.35282 | − | 1.98771i | −0.100692 | − | 0.0850659i | ||||
\(547\) | −0.260017 | + | 3.46968i | −0.0111175 | + | 0.148353i | −1.00000 | 0.000346578i | \(-0.999890\pi\) | |
0.988882 | + | 0.148700i | \(0.0475087\pi\) | |||||||
\(548\) | 4.35141 | + | 11.0872i | 0.185883 | + | 0.473622i | ||||
\(549\) | 19.8215 | + | 14.2643i | 0.845963 | + | 0.608785i | ||||
\(550\) | −0.0136524 | + | 0.0347856i | −0.000582139 | + | 0.00148326i | ||||
\(551\) | −12.2612 | + | 11.3767i | −0.522344 | + | 0.484664i | ||||
\(552\) | −2.93285 | + | 5.89746i | −0.124830 | + | 0.251013i | ||||
\(553\) | 6.39707 | + | 2.08297i | 0.272031 | + | 0.0885767i | ||||
\(554\) | −1.76633 | − | 0.266232i | −0.0750442 | − | 0.0113111i | ||||
\(555\) | 13.6336 | + | 8.10381i | 0.578715 | + | 0.343988i | ||||
\(556\) | 5.78297 | + | 25.3369i | 0.245253 | + | 1.07452i | ||||
\(557\) | −15.3989 | − | 26.6717i | −0.652474 | − | 1.13012i | −0.982521 | − | 0.186153i | \(-0.940398\pi\) |
0.330047 | − | 0.943965i | \(-0.392935\pi\) | |||||||
\(558\) | 1.89721 | − | 2.25894i | 0.0803154 | − | 0.0956285i | ||||
\(559\) | 1.65223 | + | 7.23890i | 0.0698820 | + | 0.306173i | ||||
\(560\) | −14.3144 | − | 4.66097i | −0.604896 | − | 0.196962i | ||||
\(561\) | −0.0812441 | − | 0.0898202i | −0.00343013 | − | 0.00379221i | ||||
\(562\) | 0.459300 | − | 2.01232i | 0.0193744 | − | 0.0848848i | ||||
\(563\) | −2.29054 | − | 5.83621i | −0.0965349 | − | 0.245967i | 0.874446 | − | 0.485122i | \(-0.161225\pi\) |
−0.970981 | + | 0.239155i | \(0.923130\pi\) | |||||||
\(564\) | 19.0328 | + | 4.59902i | 0.801425 | + | 0.193653i | ||||
\(565\) | 23.5002 | − | 7.24884i | 0.988659 | − | 0.304961i | ||||
\(566\) | −1.54346 | + | 6.76234i | −0.0648765 | + | 0.284242i | ||||
\(567\) | −10.1500 | + | 21.5401i | −0.426260 | + | 0.904601i | ||||
\(568\) | −3.14416 | − | 13.7754i | −0.131926 | − | 0.578005i | ||||
\(569\) | −9.66582 | − | 16.7417i | −0.405212 | − | 0.701848i | 0.589134 | − | 0.808035i | \(-0.299469\pi\) |
−0.994346 | + | 0.106187i | \(0.966136\pi\) | |||||||
\(570\) | 0.602854 | + | 1.29359i | 0.0252508 | + | 0.0541823i | ||||
\(571\) | −38.6697 | − | 11.9280i | −1.61828 | − | 0.499172i | −0.652334 | − | 0.757932i | \(-0.726210\pi\) |
−0.965942 | + | 0.258760i | \(0.916686\pi\) | |||||||
\(572\) | 0.342403 | + | 0.164892i | 0.0143166 | + | 0.00689450i | ||||
\(573\) | 9.40721 | + | 31.9307i | 0.392992 | + | 1.33393i | ||||
\(574\) | −0.0937971 | + | 0.383312i | −0.00391502 | + | 0.0159991i | ||||
\(575\) | −7.20020 | − | 9.02876i | −0.300269 | − | 0.376525i | ||||
\(576\) | −18.2955 | − | 9.38995i | −0.762311 | − | 0.391248i | ||||
\(577\) | −11.9572 | + | 30.4665i | −0.497786 | + | 1.26834i | 0.432544 | + | 0.901613i | \(0.357616\pi\) |
−0.930330 | + | 0.366725i | \(0.880479\pi\) | |||||||
\(578\) | 3.14231 | + | 1.51326i | 0.130703 | + | 0.0629432i | ||||
\(579\) | −28.0810 | + | 29.5041i | −1.16701 | + | 1.22615i | ||||
\(580\) | 16.9866 | + | 11.5813i | 0.705330 | + | 0.480886i | ||||
\(581\) | 14.9085 | + | 7.46799i | 0.618507 | + | 0.309824i | ||||
\(582\) | −0.0498212 | + | 3.92516i | −0.00206516 | + | 0.162703i | ||||
\(583\) | 0.0900568 | + | 0.0613997i | 0.00372977 | + | 0.00254291i | ||||
\(584\) | 4.43057 | − | 1.36665i | 0.183338 | − | 0.0565523i | ||||
\(585\) | −13.4906 | + | 3.78911i | −0.557768 | + | 0.156660i | ||||
\(586\) | −6.53982 | + | 0.985720i | −0.270158 | + | 0.0407197i | ||||
\(587\) | −4.58583 | + | 7.94289i | −0.189277 | + | 0.327838i | −0.945010 | − | 0.327043i | \(-0.893948\pi\) |
0.755732 | + | 0.654881i | \(0.227281\pi\) | |||||||
\(588\) | 23.6469 | − | 0.731738i | 0.975183 | − | 0.0301764i | ||||
\(589\) | −5.42419 | − | 9.39496i | −0.223500 | − | 0.387113i | ||||
\(590\) | 1.44291 | + | 1.80935i | 0.0594035 | + | 0.0744897i | ||||
\(591\) | 12.9780 | + | 10.6219i | 0.533844 | + | 0.436925i | ||||
\(592\) | 4.92947 | − | 21.5974i | 0.202600 | − | 0.887649i | ||||
\(593\) | −0.629177 | + | 8.39579i | −0.0258372 | + | 0.344774i | 0.969272 | + | 0.245992i | \(0.0791136\pi\) |
−0.995109 | + | 0.0987818i | \(0.968505\pi\) | |||||||
\(594\) | −0.0136811 | + | 0.0720395i | −0.000561342 | + | 0.00295582i | ||||
\(595\) | −1.55639 | − | 4.15490i | −0.0638057 | − | 0.170334i | ||||
\(596\) | −0.406794 | + | 5.42829i | −0.0166629 | + | 0.222351i | ||||
\(597\) | 0.132513 | + | 0.449788i | 0.00542341 | + | 0.0184086i | ||||
\(598\) | 2.42183 | − | 1.65117i | 0.0990359 | − | 0.0675215i | ||||
\(599\) | −10.1064 | + | 1.52330i | −0.412938 | + | 0.0622403i | −0.352226 | − | 0.935915i | \(-0.614575\pi\) |
−0.0607117 | + | 0.998155i | \(0.519337\pi\) | |||||||
\(600\) | −3.15823 | + | 2.45368i | −0.128934 | + | 0.100171i | ||||
\(601\) | 4.70222 | − | 0.708746i | 0.191808 | − | 0.0289103i | −0.0524358 | − | 0.998624i | \(-0.516698\pi\) |
0.244243 | + | 0.969714i | \(0.421460\pi\) | |||||||
\(602\) | 1.16343 | + | 0.820065i | 0.0474179 | + | 0.0334234i | ||||
\(603\) | 10.6033 | + | 3.56785i | 0.431801 | + | 0.145294i | ||||
\(604\) | −19.2176 | + | 13.1023i | −0.781952 | + | 0.533126i | ||||
\(605\) | 3.75246 | + | 16.4406i | 0.152559 | + | 0.668405i | ||||
\(606\) | −0.415846 | + | 0.593605i | −0.0168926 | + | 0.0241135i | ||||
\(607\) | 15.2971 | 0.620891 | 0.310446 | − | 0.950591i | \(-0.399522\pi\) | ||||
0.310446 | + | 0.950591i | \(0.399522\pi\) | |||||||
\(608\) | 4.57372 | − | 4.24379i | 0.185489 | − | 0.172109i | ||||
\(609\) | −30.4830 | − | 7.87062i | −1.23523 | − | 0.318934i | ||||
\(610\) | 2.01951 | + | 1.87383i | 0.0817677 | + | 0.0758694i | ||||
\(611\) | −12.9348 | − | 12.0018i | −0.523287 | − | 0.485539i | ||||
\(612\) | −1.26553 | − | 6.27477i | −0.0511559 | − | 0.253643i | ||||
\(613\) | 35.7094 | + | 5.38232i | 1.44229 | + | 0.217390i | 0.823120 | − | 0.567868i | \(-0.192232\pi\) |
0.619169 | + | 0.785258i | \(0.287470\pi\) | |||||||
\(614\) | −1.14278 | + | 0.352501i | −0.0461189 | + | 0.0142258i | ||||
\(615\) | 1.20432 | + | 1.33145i | 0.0485631 | + | 0.0536894i | ||||
\(616\) | 0.141633 | − | 0.0412819i | 0.00570658 | − | 0.00166329i | ||||
\(617\) | −10.0236 | + | 9.30055i | −0.403535 | + | 0.374426i | −0.855668 | − | 0.517524i | \(-0.826854\pi\) |
0.452133 | + | 0.891950i | \(0.350663\pi\) | |||||||
\(618\) | −0.778305 | + | 1.11100i | −0.0313080 | + | 0.0446910i | ||||
\(619\) | 23.8355 | 0.958031 | 0.479015 | − | 0.877807i | \(-0.340994\pi\) | ||||
0.479015 | + | 0.877807i | \(0.340994\pi\) | |||||||
\(620\) | −9.77467 | + | 9.06957i | −0.392560 | + | 0.364243i | ||||
\(621\) | −17.1660 | − | 14.7928i | −0.688850 | − | 0.593615i | ||||
\(622\) | 3.86699 | − | 4.84905i | 0.155052 | − | 0.194429i | ||||
\(623\) | −21.1092 | − | 10.5741i | −0.845724 | − | 0.423642i | ||||
\(624\) | 10.8193 | + | 16.3099i | 0.433118 | + | 0.652920i | ||||
\(625\) | 1.05643 | + | 4.62852i | 0.0422572 | + | 0.185141i | ||||
\(626\) | 1.09557 | − | 0.165131i | 0.0437878 | − | 0.00659995i | ||||
\(627\) | 0.231801 | + | 0.137782i | 0.00925724 | + | 0.00550249i | ||||
\(628\) | −22.1262 | − | 3.33499i | −0.882931 | − | 0.133080i | ||||
\(629\) | 5.88242 | − | 2.83282i | 0.234547 | − | 0.112952i | ||||
\(630\) | −1.43729 | + | 2.26940i | −0.0572630 | + | 0.0904152i | ||||
\(631\) | −1.95047 | − | 0.939299i | −0.0776471 | − | 0.0373929i | 0.394657 | − | 0.918828i | \(-0.370863\pi\) |
−0.472304 | + | 0.881436i | \(0.656578\pi\) | |||||||
\(632\) | 1.83199 | + | 1.24903i | 0.0728728 | + | 0.0496838i | ||||
\(633\) | −0.142932 | − | 0.158020i | −0.00568103 | − | 0.00628072i | ||||
\(634\) | −0.565111 | + | 7.54088i | −0.0224434 | + | 0.299487i | ||||
\(635\) | 16.1008 | + | 20.1898i | 0.638942 | + | 0.801208i | ||||
\(636\) | 2.43341 | + | 5.22154i | 0.0964910 | + | 0.207047i | ||||
\(637\) | −18.9108 | − | 9.84451i | −0.749274 | − | 0.390054i | ||||
\(638\) | −0.0969494 | −0.00383827 | ||||||||
\(639\) | 48.5971 | + | 1.23386i | 1.92247 | + | 0.0488109i | ||||
\(640\) | −8.41136 | − | 5.73477i | −0.332488 | − | 0.226687i | ||||
\(641\) | 7.53177 | − | 32.9988i | 0.297487 | − | 1.30338i | −0.576369 | − | 0.817190i | \(-0.695531\pi\) |
0.873856 | − | 0.486186i | \(-0.161612\pi\) | |||||||
\(642\) | 1.27783 | + | 1.04584i | 0.0504319 | + | 0.0412760i | ||||
\(643\) | −1.48178 | − | 19.7730i | −0.0584358 | − | 0.779771i | −0.947044 | − | 0.321104i | \(-0.895946\pi\) |
0.888608 | − | 0.458667i | \(-0.151673\pi\) | |||||||
\(644\) | −5.35144 | + | 21.8692i | −0.210876 | + | 0.861768i | ||||
\(645\) | 6.05764 | − | 2.28916i | 0.238519 | − | 0.0901355i | ||||
\(646\) | 0.580941 | + | 0.0875627i | 0.0228568 | + | 0.00344511i | ||||
\(647\) | 0.440855 | + | 5.88281i | 0.0173318 | + | 0.231277i | 0.999142 | + | 0.0414126i | \(0.0131858\pi\) |
−0.981810 | + | 0.189864i | \(0.939195\pi\) | |||||||
\(648\) | −5.19807 | + | 5.87943i | −0.204199 | + | 0.230966i | ||||
\(649\) | 0.417843 | + | 0.128887i | 0.0164018 | + | 0.00505928i | ||||
\(650\) | 1.75994 | − | 0.265268i | 0.0690305 | − | 0.0104047i | ||||
\(651\) | 9.37620 | − | 18.1392i | 0.367482 | − | 0.710932i | ||||
\(652\) | −14.0814 | − | 2.12242i | −0.551468 | − | 0.0831205i | ||||
\(653\) | 19.7541 | + | 9.51307i | 0.773038 | + | 0.372275i | 0.778447 | − | 0.627710i | \(-0.216008\pi\) |
−0.00540952 | + | 0.999985i | \(0.501722\pi\) | |||||||
\(654\) | 0.714475 | + | 5.18602i | 0.0279382 | + | 0.202789i | ||||
\(655\) | 27.6446 | 1.08017 | ||||||||
\(656\) | 1.25381 | − | 2.17166i | 0.0489530 | − | 0.0847890i | ||||
\(657\) | 0.787952 | + | 15.9324i | 0.0307409 | + | 0.621583i | ||||
\(658\) | −3.38221 | − | 0.0527216i | −0.131852 | − | 0.00205530i | ||||
\(659\) | −6.80881 | − | 6.31765i | −0.265233 | − | 0.246101i | 0.536333 | − | 0.844007i | \(-0.319809\pi\) |
−0.801566 | + | 0.597906i | \(0.796000\pi\) | |||||||
\(660\) | 0.101708 | − | 0.315458i | 0.00395899 | − | 0.0122792i | ||||
\(661\) | 16.7940 | + | 42.7904i | 0.653211 | + | 1.66436i | 0.743746 | + | 0.668462i | \(0.233047\pi\) |
−0.0905346 | + | 0.995893i | \(0.528858\pi\) | |||||||
\(662\) | 1.00114 | + | 2.55085i | 0.0389103 | + | 0.0991418i | ||||
\(663\) | −1.77009 | + | 5.49011i | −0.0687446 | + | 0.213218i | ||||
\(664\) | 4.02845 | + | 3.73786i | 0.156334 | + | 0.145057i | ||||
\(665\) | 6.03811 | + | 7.81850i | 0.234148 | + | 0.303189i | ||||
\(666\) | −3.51680 | − | 1.80496i | −0.136273 | − | 0.0699409i | ||||
\(667\) | 14.9803 | − | 25.9467i | 0.580040 | − | 1.00466i | ||||
\(668\) | −49.5908 | −1.91872 | ||||||||
\(669\) | −4.41631 | − | 32.0558i | −0.170744 | − | 1.23935i | ||||
\(670\) | 1.13710 | + | 0.547599i | 0.0439301 | + | 0.0211556i | ||||
\(671\) | 0.514724 | + | 0.0775822i | 0.0198707 | + | 0.00299503i | ||||
\(672\) | 11.3709 | + | 2.93593i | 0.438643 | + | 0.113256i | ||||
\(673\) | 24.8713 | − | 3.74875i | 0.958719 | − | 0.144504i | 0.349001 | − | 0.937122i | \(-0.386521\pi\) |
0.609718 | + | 0.792619i | \(0.291283\pi\) | |||||||
\(674\) | 0.816909 | + | 0.251983i | 0.0314662 | + | 0.00970603i | ||||
\(675\) | −5.49386 | − | 12.6153i | −0.211459 | − | 0.485564i | ||||
\(676\) | 0.543008 | + | 7.24594i | 0.0208849 | + | 0.278690i | ||||
\(677\) | −8.71624 | − | 1.31376i | −0.334992 | − | 0.0504920i | −0.0206076 | − | 0.999788i | \(-0.506560\pi\) |
−0.314385 | + | 0.949296i | \(0.601798\pi\) | |||||||
\(678\) | −5.73366 | + | 2.16673i | −0.220200 | + | 0.0832126i | ||||
\(679\) | 5.63265 | + | 26.5815i | 0.216161 | + | 1.02010i | ||||
\(680\) | −0.109276 | − | 1.45818i | −0.00419054 | − | 0.0559188i | ||||
\(681\) | −16.3136 | − | 13.3519i | −0.625139 | − | 0.511645i | ||||
\(682\) | 0.0139921 | − | 0.0613034i | 0.000535785 | − | 0.00234743i | ||||
\(683\) | −7.60033 | − | 5.18182i | −0.290819 | − | 0.198277i | 0.409118 | − | 0.912481i | \(-0.365836\pi\) |
−0.699937 | + | 0.714204i | \(0.746789\pi\) | |||||||
\(684\) | 6.81050 | + | 12.5196i | 0.260406 | + | 0.478699i | ||||
\(685\) | −9.36098 | −0.357665 | ||||||||
\(686\) | −3.95753 | + | 1.02081i | −0.151099 | + | 0.0389748i | ||||
\(687\) | −6.63816 | − | 14.2440i | −0.253262 | − | 0.543441i | ||||
\(688\) | −5.63947 | − | 7.07168i | −0.215003 | − | 0.269605i | ||||
\(689\) | 0.387947 | − | 5.17680i | 0.0147796 | − | 0.197220i | ||||
\(690\) | −1.71486 | − | 1.89588i | −0.0652837 | − | 0.0721751i | ||||
\(691\) | 11.7390 | + | 8.00352i | 0.446573 | + | 0.304468i | 0.765646 | − | 0.643262i | \(-0.222419\pi\) |
−0.319074 | + | 0.947730i | \(0.603372\pi\) | |||||||
\(692\) | 40.5960 | + | 19.5500i | 1.54323 | + | 0.743180i | ||||
\(693\) | 0.0171670 | + | 0.507271i | 0.000652121 | + | 0.0192696i | ||||
\(694\) | 2.25306 | − | 1.08502i | 0.0855251 | − | 0.0411867i | ||||
\(695\) | −20.1972 | − | 3.04424i | −0.766125 | − | 0.115475i | ||||
\(696\) | −8.91926 | − | 5.30160i | −0.338084 | − | 0.200957i | ||||
\(697\) | 0.730801 | − | 0.110151i | 0.0276811 | − | 0.00417225i | ||||
\(698\) | −1.07015 | − | 4.68864i | −0.0405059 | − | 0.177468i | ||||
\(699\) | 24.1183 | + | 36.3580i | 0.912237 | + | 1.37519i | ||||
\(700\) | −8.68927 | + | 10.5543i | −0.328424 | + | 0.398913i | ||||
\(701\) | 6.36489 | − | 7.98132i | 0.240399 | − | 0.301450i | −0.646966 | − | 0.762519i | \(-0.723962\pi\) |
0.887365 | + | 0.461069i | \(0.152534\pi\) | |||||||
\(702\) | 3.29725 | − | 1.15126i | 0.124447 | − | 0.0434513i | ||||
\(703\) | −10.6563 | + | 9.88757i | −0.401909 | + | 0.372917i | ||||
\(704\) | −0.438342 | −0.0165206 | ||||||||
\(705\) | −8.82970 | + | 12.6041i | −0.332546 | + | 0.474697i | ||||
\(706\) | 2.72175 | − | 2.52541i | 0.102434 | − | 0.0950452i | ||||
\(707\) | −1.90540 | + | 4.64086i | −0.0716600 | + | 0.174537i | ||||
\(708\) | 15.5031 | + | 17.1396i | 0.582641 | + | 0.644145i | ||||
\(709\) | 27.0435 | − | 8.34180i | 1.01564 | − | 0.313283i | 0.258131 | − | 0.966110i | \(-0.416893\pi\) |
0.757507 | + | 0.652827i | \(0.226417\pi\) | |||||||
\(710\) | 5.42287 | + | 0.817366i | 0.203517 | + | 0.0306752i | ||||
\(711\) | −5.72193 | + | 5.04505i | −0.214589 | + | 0.189204i | ||||
\(712\) | −5.70398 | − | 5.29252i | −0.213766 | − | 0.198346i | ||||
\(713\) | 14.2447 | + | 13.2171i | 0.533467 | + | 0.494985i | ||||
\(714\) | 0.451435 | + | 1.00948i | 0.0168945 | + | 0.0377787i | ||||
\(715\) | −0.218954 | + | 0.203159i | −0.00818840 | + | 0.00759772i | ||||
\(716\) | −15.5403 | −0.580768 | ||||||||
\(717\) | −19.9277 | + | 28.4461i | −0.744214 | + | 1.06234i | ||||
\(718\) | −0.901238 | − | 3.94858i | −0.0336339 | − | 0.147360i | ||||
\(719\) | 30.7936 | − | 20.9947i | 1.14841 | − | 0.782970i | 0.169149 | − | 0.985591i | \(-0.445898\pi\) |
0.979257 | + | 0.202620i | \(0.0649458\pi\) | |||||||
\(720\) | 12.8037 | − | 11.2891i | 0.477167 | − | 0.420720i | ||||
\(721\) | −3.56618 | + | 8.68592i | −0.132812 | + | 0.323480i | ||||
\(722\) | 2.85263 | − | 0.429965i | 0.106164 | − | 0.0160016i | ||||
\(723\) | 5.80737 | − | 4.51184i | 0.215979 | − | 0.167797i | ||||
\(724\) | −0.0654229 | + | 0.00986091i | −0.00243142 | + | 0.000366478i | ||||
\(725\) | 15.0312 | − | 10.2481i | 0.558246 | − | 0.380606i | ||||
\(726\) | −1.18777 | − | 4.03164i | −0.0440824 | − | 0.149628i | ||||
\(727\) | 2.04914 | − | 27.3439i | 0.0759984 | − | 1.01413i | −0.820663 | − | 0.571412i | \(-0.806396\pi\) |
0.896662 | − | 0.442716i | \(-0.145985\pi\) | |||||||
\(728\) | −5.07566 | − | 4.85892i | −0.188117 | − | 0.180084i | ||||
\(729\) | −15.1794 | − | 22.3290i | −0.562202 | − | 0.827000i | ||||
\(730\) | −0.134482 | + | 1.79454i | −0.00497741 | + | 0.0664189i | ||||
\(731\) | 0.593194 | − | 2.59895i | 0.0219401 | − | 0.0961257i | ||||
\(732\) | 21.2901 | + | 17.4249i | 0.786906 | + | 0.644044i | ||||
\(733\) | 17.4201 | + | 21.8441i | 0.643426 | + | 0.806831i | 0.991427 | − | 0.130663i | \(-0.0417107\pi\) |
−0.348000 | + | 0.937494i | \(0.613139\pi\) | |||||||
\(734\) | 3.58661 | + | 6.21219i | 0.132384 | + | 0.229296i | ||||
\(735\) | −6.25455 | + | 17.5105i | −0.230702 | + | 0.645884i | ||||
\(736\) | −5.58803 | + | 9.67875i | −0.205977 | + | 0.356763i | ||||
\(737\) | 0.235804 | − | 0.0355418i | 0.00868597 | − | 0.00130920i | ||||
\(738\) | −0.320179 | − | 0.312576i | −0.0117860 | − | 0.0115061i | ||||
\(739\) | 26.8906 | − | 8.29466i | 0.989188 | − | 0.305124i | 0.242393 | − | 0.970178i | \(-0.422068\pi\) |
0.746795 | + | 0.665054i | \(0.231592\pi\) | |||||||
\(740\) | 14.7631 | + | 10.0653i | 0.542704 | + | 0.370009i | ||||
\(741\) | 0.163006 | − | 12.8424i | 0.00598816 | − | 0.471777i | ||||
\(742\) | −0.608288 | − | 0.787647i | −0.0223309 | − | 0.0289154i | ||||
\(743\) | −16.5112 | − | 11.2572i | −0.605738 | − | 0.412985i | 0.221240 | − | 0.975219i | \(-0.428990\pi\) |
−0.826978 | + | 0.562234i | \(0.809942\pi\) | |||||||
\(744\) | 4.63959 | − | 4.87471i | 0.170096 | − | 0.178716i | ||||
\(745\) | −3.85459 | − | 1.85627i | −0.141221 | − | 0.0680086i | ||||
\(746\) | −0.289655 | + | 0.738029i | −0.0106050 | + | 0.0270212i | ||||
\(747\) | −15.8869 | + | 10.2507i | −0.581272 | + | 0.375054i | ||||
\(748\) | −0.0850712 | − | 0.106676i | −0.00311051 | − | 0.00390046i | ||||
\(749\) | 10.2193 | + | 5.11909i | 0.373406 | + | 0.187047i | ||||
\(750\) | −1.26697 | − | 4.30046i | −0.0462633 | − | 0.157031i | ||||
\(751\) | −16.6302 | − | 8.00867i | −0.606844 | − | 0.292241i | 0.105117 | − | 0.994460i | \(-0.466478\pi\) |
−0.711961 | + | 0.702219i | \(0.752193\pi\) | |||||||
\(752\) | 20.5399 | + | 6.33572i | 0.749013 | + | 0.231040i | ||||
\(753\) | −6.58942 | − | 14.1394i | −0.240132 | − | 0.515267i | ||||
\(754\) | 2.30878 | + | 3.99892i | 0.0840807 | + | 0.145632i | ||||
\(755\) | −4.06774 | − | 17.8219i | −0.148040 | − | 0.648607i | ||||
\(756\) | −12.9190 | + | 23.5102i | −0.469858 | + | 0.855059i | ||||
\(757\) | −7.09241 | + | 31.0739i | −0.257778 | + | 1.12940i | 0.665843 | + | 0.746092i | \(0.268072\pi\) |
−0.923621 | + | 0.383307i | \(0.874785\pi\) | |||||||
\(758\) | −6.01863 | + | 1.85650i | −0.218606 | + | 0.0674311i | ||||
\(759\) | −0.469510 | − | 0.113451i | −0.0170421 | − | 0.00411800i | ||||
\(760\) | 1.18946 | + | 3.03071i | 0.0431464 | + | 0.109935i | ||||
\(761\) | 11.1632 | − | 48.9091i | 0.404665 | − | 1.77295i | −0.203432 | − | 0.979089i | \(-0.565210\pi\) |
0.608097 | − | 0.793863i | \(-0.291933\pi\) | |||||||
\(762\) | −4.31750 | − | 4.77326i | −0.156407 | − | 0.172917i | ||||
\(763\) | 12.7112 | + | 33.9334i | 0.460176 | + | 1.22847i | ||||
\(764\) | 8.34483 | + | 36.5611i | 0.301905 | + | 1.32273i | ||||
\(765\) | 4.95407 | + | 0.875840i | 0.179115 | + | 0.0316661i | ||||
\(766\) | 3.37806 | + | 5.85096i | 0.122054 | + | 0.211404i | ||||
\(767\) | −4.63433 | − | 20.3043i | −0.167336 | − | 0.733146i | ||||
\(768\) | −18.2310 | − | 10.8365i | −0.657854 | − | 0.391028i | ||||
\(769\) | 29.0304 | + | 4.37563i | 1.04686 | + | 0.157789i | 0.649880 | − | 0.760037i | \(-0.274819\pi\) |
0.396983 | + | 0.917826i | \(0.370057\pi\) | |||||||
\(770\) | −0.00516841 | + | 0.0570255i | −0.000186257 | + | 0.00205506i | ||||
\(771\) | 10.2552 | − | 20.6215i | 0.369333 | − | 0.742666i | ||||
\(772\) | −33.6376 | + | 31.2112i | −1.21065 | + | 1.12331i | ||||
\(773\) | −13.3977 | + | 34.1368i | −0.481882 | + | 1.22781i | 0.458805 | + | 0.888537i | \(0.348278\pi\) |
−0.940686 | + | 0.339277i | \(0.889817\pi\) | |||||||
\(774\) | −1.47146 | + | 0.663150i | −0.0528905 | + | 0.0238364i | ||||
\(775\) | 4.31077 | + | 10.9837i | 0.154847 | + | 0.394545i | ||||
\(776\) | −0.669217 | + | 8.93009i | −0.0240235 | + | 0.320571i | ||||
\(777\) | −26.4930 | − | 6.84040i | −0.950431 | − | 0.245398i | ||||
\(778\) | −0.531141 | − | 7.08758i | −0.0190423 | − | 0.254102i | ||||
\(779\) | −1.48256 | + | 0.713962i | −0.0531181 | + | 0.0255803i | ||||
\(780\) | −15.4340 | + | 3.31719i | −0.552624 | + | 0.118774i | ||||
\(781\) | 0.933592 | − | 0.449594i | 0.0334065 | − | 0.0160877i | ||||
\(782\) | −1.04060 | + | 0.156846i | −0.0372119 | + | 0.00560879i | ||||
\(783\) | 25.2594 | − | 25.2253i | 0.902698 | − | 0.901477i | ||||
\(784\) | 25.9586 | + | 0.809476i | 0.927092 | + | 0.0289099i | ||||
\(785\) | 8.79315 | − | 15.2302i | 0.313841 | − | 0.543589i | ||||
\(786\) | −6.87676 | + | 0.427650i | −0.245286 | + | 0.0152538i | ||||
\(787\) | 2.27657 | − | 30.3787i | 0.0811509 | − | 1.08288i | −0.796835 | − | 0.604197i | \(-0.793494\pi\) |
0.877986 | − | 0.478687i | \(-0.158887\pi\) | |||||||
\(788\) | 13.8499 | + | 12.8508i | 0.493382 | + | 0.457791i | ||||
\(789\) | 39.9633 | + | 32.7080i | 1.42273 | + | 1.16444i | ||||
\(790\) | −0.711046 | + | 0.484783i | −0.0252979 | + | 0.0172478i | ||||
\(791\) | −35.4231 | + | 23.3507i | −1.25950 | + | 0.830256i | ||||
\(792\) | −0.0413507 | + | 0.162089i | −0.00146933 | + | 0.00575957i | ||||
\(793\) | −9.05769 | − | 23.0786i | −0.321648 | − | 0.819546i | ||||
\(794\) | −4.13729 | − | 1.99241i | −0.146827 | − | 0.0707081i | ||||
\(795\) | −4.51886 | + | 0.281017i | −0.160267 | + | 0.00996666i | ||||
\(796\) | 0.117548 | + | 0.515013i | 0.00416639 | + | 0.0182541i | ||||
\(797\) | 7.90257 | − | 20.1354i | 0.279923 | − | 0.713233i | −0.719893 | − | 0.694085i | \(-0.755809\pi\) |
0.999817 | − | 0.0191484i | \(-0.00609549\pi\) | |||||||
\(798\) | −1.62296 | − | 1.85149i | −0.0574523 | − | 0.0655420i | ||||
\(799\) | 2.31446 | + | 5.89714i | 0.0818797 | + | 0.208626i | ||||
\(800\) | −5.60702 | + | 3.82280i | −0.198238 | + | 0.135157i | ||||
\(801\) | 22.4947 | − | 14.5142i | 0.794809 | − | 0.512835i | ||||
\(802\) | 0.0124906 | + | 0.0216343i | 0.000441057 | + | 0.000763934i | ||||
\(803\) | 0.170012 | + | 0.294470i | 0.00599960 | + | 0.0103916i | ||||
\(804\) | 11.6730 | + | 4.75316i | 0.411675 | + | 0.167631i | ||||
\(805\) | −14.4632 | − | 10.1946i | −0.509760 | − | 0.359313i | ||||
\(806\) | −2.86182 | + | 0.882755i | −0.100803 | + | 0.0310937i | ||||
\(807\) | 21.3405 | + | 23.5932i | 0.751222 | + | 0.830521i | ||||
\(808\) | −1.03088 | + | 1.29269i | −0.0362664 | + | 0.0454766i | ||||
\(809\) | 5.40217 | + | 0.814246i | 0.189930 | + | 0.0286274i | 0.243318 | − | 0.969946i | \(-0.421764\pi\) |
−0.0533883 | + | 0.998574i | \(0.517002\pi\) | |||||||
\(810\) | −1.38714 | − | 2.71174i | −0.0487392 | − | 0.0952809i | ||||
\(811\) | 1.25616 | − | 5.50359i | 0.0441097 | − | 0.193257i | −0.948073 | − | 0.318054i | \(-0.896971\pi\) |
0.992182 | + | 0.124797i | \(0.0398279\pi\) | |||||||
\(812\) | −33.7251 | − | 10.9813i | −1.18352 | − | 0.385369i | ||||
\(813\) | 3.29954 | + | 23.9497i | 0.115720 | + | 0.839953i | ||||
\(814\) | −0.0842593 | −0.00295329 | ||||||||
\(815\) | 5.59606 | − | 9.69266i | 0.196021 | − | 0.339519i | ||||
\(816\) | −0.959036 | − | 6.96117i | −0.0335730 | − | 0.243690i | ||||
\(817\) | 0.443553 | + | 5.91881i | 0.0155180 | + | 0.207073i | ||||
\(818\) | −0.483492 | + | 0.606279i | −0.0169049 | + | 0.0211981i | ||||
\(819\) | 20.5148 | − | 12.7884i | 0.716846 | − | 0.446862i | ||||
\(820\) | 1.26106 | + | 1.58131i | 0.0440380 | + | 0.0552218i | ||||
\(821\) | 16.2421 | − | 15.0705i | 0.566855 | − | 0.525964i | −0.343849 | − | 0.939025i | \(-0.611731\pi\) |
0.910703 | + | 0.413061i | \(0.135540\pi\) | |||||||
\(822\) | 2.32860 | − | 0.144810i | 0.0812191 | − | 0.00505083i | ||||
\(823\) | −19.2909 | + | 13.1523i | −0.672438 | + | 0.458461i | −0.850790 | − | 0.525506i | \(-0.823876\pi\) |
0.178351 | + | 0.983967i | \(0.442924\pi\) | |||||||
\(824\) | −1.92942 | + | 2.41942i | −0.0672146 | + | 0.0842845i | ||||
\(825\) | −0.226968 | − | 0.185762i | −0.00790203 | − | 0.00646742i | ||||
\(826\) | −3.26330 | − | 2.30019i | −0.113545 | − | 0.0800339i | ||||
\(827\) | −30.0636 | − | 14.4779i | −1.04542 | − | 0.503445i | −0.169309 | − | 0.985563i | \(-0.554153\pi\) |
−0.876106 | + | 0.482118i | \(0.839868\pi\) | |||||||
\(828\) | −18.2673 | − | 17.8335i | −0.634833 | − | 0.619758i | ||||
\(829\) | 12.5400 | − | 3.86809i | 0.435534 | − | 0.134344i | −0.0692323 | − | 0.997601i | \(-0.522055\pi\) |
0.504766 | + | 0.863256i | \(0.331579\pi\) | |||||||
\(830\) | −1.92171 | + | 0.925445i | −0.0667034 | + | 0.0321227i | ||||
\(831\) | 6.24286 | − | 12.5533i | 0.216562 | − | 0.435470i | ||||
\(832\) | 10.4388 | + | 18.0805i | 0.361900 | + | 0.626829i | ||||
\(833\) | 4.58357 | + | 6.13026i | 0.158811 | + | 0.212401i | ||||
\(834\) | 5.07127 | + | 0.444831i | 0.175604 | + | 0.0154032i | ||||
\(835\) | 14.2393 | − | 36.2812i | 0.492772 | − | 1.25556i | ||||
\(836\) | 0.251005 | + | 0.171133i | 0.00868120 | + | 0.00591874i | ||||
\(837\) | 12.3050 | + | 19.6127i | 0.425323 | + | 0.677915i | ||||
\(838\) | −0.539866 | + | 7.20402i | −0.0186494 | + | 0.248859i | ||||
\(839\) | −22.7052 | + | 15.4801i | −0.783870 | + | 0.534434i | −0.887843 | − | 0.460147i | \(-0.847797\pi\) |
0.103973 | + | 0.994580i | \(0.466844\pi\) | |||||||
\(840\) | −3.59388 | + | 4.96366i | −0.124001 | + | 0.171263i | ||||
\(841\) | 15.0361 | + | 10.2514i | 0.518485 | + | 0.353497i | ||||
\(842\) | −5.34342 | + | 6.70043i | −0.184146 | + | 0.230912i | ||||
\(843\) | 13.9259 | + | 8.27754i | 0.479633 | + | 0.285094i | ||||
\(844\) | −0.149665 | − | 0.187674i | −0.00515167 | − | 0.00645999i | ||||
\(845\) | −5.45713 | − | 1.68330i | −0.187731 | − | 0.0579073i | ||||
\(846\) | 2.00146 | − | 3.27192i | 0.0688116 | − | 0.112491i | ||||
\(847\) | −14.1518 | − | 25.4185i | −0.486261 | − | 0.873388i | ||||
\(848\) | 2.31039 | + | 5.88677i | 0.0793390 | + | 0.202153i | ||||
\(849\) | −46.7975 | − | 27.8164i | −1.60608 | − | 0.954655i | ||||
\(850\) | −0.610612 | − | 0.188349i | −0.0209438 | − | 0.00646031i | ||||
\(851\) | 13.0195 | − | 22.5504i | 0.446302 | − | 0.773018i | ||||
\(852\) | 54.5568 | + | 4.78550i | 1.86909 | + | 0.163949i | ||||
\(853\) | 24.2416 | + | 7.47755i | 0.830017 | + | 0.256026i | 0.680514 | − | 0.732735i | \(-0.261757\pi\) |
0.149503 | + | 0.988761i | \(0.452233\pi\) | |||||||
\(854\) | −4.24944 | − | 2.12864i | −0.145413 | − | 0.0728406i | ||||
\(855\) | −11.1150 | + | 1.38780i | −0.380126 | + | 0.0474619i | ||||
\(856\) | 2.76139 | + | 2.56219i | 0.0943822 | + | 0.0875739i | ||||
\(857\) | −14.5911 | + | 18.2966i | −0.498422 | + | 0.625001i | −0.965872 | − | 0.259018i | \(-0.916601\pi\) |
0.467451 | + | 0.884019i | \(0.345172\pi\) | |||||||
\(858\) | 0.0513231 | − | 0.0539241i | 0.00175214 | − | 0.00184094i | ||||
\(859\) | 12.3324 | − | 54.0320i | 0.420778 | − | 1.84355i | −0.107129 | − | 0.994245i | \(-0.534166\pi\) |
0.527907 | − | 0.849302i | \(-0.322977\pi\) | |||||||
\(860\) | 6.97135 | − | 2.15038i | 0.237721 | − | 0.0733272i | ||||
\(861\) | −2.63744 | − | 1.62385i | −0.0898837 | − | 0.0553406i | ||||
\(862\) | 0.661118 | + | 0.203928i | 0.0225178 | + | 0.00694582i | ||||
\(863\) | 18.3399 | − | 31.7656i | 0.624297 | − | 1.08131i | −0.364380 | − | 0.931250i | \(-0.618719\pi\) |
0.988676 | − | 0.150063i | \(-0.0479477\pi\) | |||||||
\(864\) | −9.42238 | + | 9.40964i | −0.320556 | + | 0.320122i | ||||
\(865\) | −25.9596 | + | 24.0870i | −0.882653 | + | 0.818983i | ||||
\(866\) | −0.468532 | − | 6.25212i | −0.0159214 | − | 0.212456i | ||||
\(867\) | −18.8721 | + | 19.8285i | −0.640931 | + | 0.673412i | ||||
\(868\) | 11.8111 | − | 19.7403i | 0.400894 | − | 0.670030i | ||||
\(869\) | −0.0594061 | + | 0.151364i | −0.00201521 | + | 0.00513468i | ||||
\(870\) | 3.18019 | − | 2.47074i | 0.107819 | − | 0.0837661i | ||||
\(871\) | −7.08151 | − | 8.87993i | −0.239948 | − | 0.300885i | ||||
\(872\) | 0.892466 | + | 11.9091i | 0.0302227 | + | 0.403294i | ||||
\(873\) | −29.2010 | − | 9.82568i | −0.988305 | − | 0.332549i | ||||
\(874\) | 2.11104 | − | 1.01663i | 0.0714071 | − | 0.0343879i | ||||
\(875\) | −15.0954 | − | 27.1133i | −0.510317 | − | 0.916597i | ||||
\(876\) | −0.228086 | + | 17.9697i | −0.00770630 | + | 0.607140i | ||||
\(877\) | 25.0810 | − | 12.0783i | 0.846924 | − | 0.407857i | 0.0404888 | − | 0.999180i | \(-0.487108\pi\) |
0.806435 | + | 0.591323i | \(0.201394\pi\) | |||||||
\(878\) | 4.39725 | + | 4.08005i | 0.148400 | + | 0.137695i | ||||
\(879\) | 8.38742 | − | 51.2266i | 0.282901 | − | 1.72783i | ||||
\(880\) | 0.132931 | − | 0.338701i | 0.00448109 | − | 0.0114176i | ||||
\(881\) | 2.25556 | 0.0759919 | 0.0379959 | − | 0.999278i | \(-0.487903\pi\) | ||||
0.0379959 | + | 0.999278i | \(0.487903\pi\) | |||||||
\(882\) | 1.28497 | − | 4.45259i | 0.0432674 | − | 0.149926i | ||||
\(883\) | −26.2176 | −0.882293 | −0.441146 | − | 0.897435i | \(-0.645428\pi\) | ||||
−0.441146 | + | 0.897435i | \(0.645428\pi\) | |||||||
\(884\) | −2.37420 | + | 6.04937i | −0.0798531 | + | 0.203462i | ||||
\(885\) | −16.9910 | + | 6.42083i | −0.571147 | + | 0.215834i | ||||
\(886\) | 5.95076 | + | 5.52150i | 0.199920 | + | 0.185498i | ||||
\(887\) | −33.2173 | + | 15.9966i | −1.11533 | + | 0.537113i | −0.898445 | − | 0.439085i | \(-0.855303\pi\) |
−0.216881 | + | 0.976198i | \(0.569588\pi\) | |||||||
\(888\) | −7.75178 | − | 4.60765i | −0.260133 | − | 0.154623i | ||||
\(889\) | −36.4139 | − | 25.6670i | −1.22128 | − | 0.860842i | ||||
\(890\) | 2.72099 | − | 1.31036i | 0.0912077 | − | 0.0439233i | ||||
\(891\) | −0.505186 | − | 0.275701i | −0.0169244 | − | 0.00923632i | ||||
\(892\) | −2.72426 | − | 36.3527i | −0.0912150 | − | 1.21718i | ||||
\(893\) | −8.79437 | − | 11.0278i | −0.294292 | − | 0.369031i | ||||
\(894\) | 0.987567 | + | 0.402130i | 0.0330292 | + | 0.0134492i | ||||
\(895\) | 4.46218 | − | 11.3694i | 0.149154 | − | 0.380039i | ||||
\(896\) | 16.6999 | + | 5.43770i | 0.557905 | + | 0.181661i | ||||
\(897\) | 6.50147 | + | 22.0678i | 0.217078 | + | 0.736824i | ||||
\(898\) | 0.191038 | + | 2.54922i | 0.00637501 | + | 0.0850686i | ||||
\(899\) | −22.4402 | + | 20.8215i | −0.748423 | + | 0.694435i | ||||
\(900\) | −5.29523 | − | 14.5690i | −0.176508 | − | 0.485632i | ||||
\(901\) | −0.931908 | + | 1.61411i | −0.0310463 | + | 0.0537738i | ||||
\(902\) | −0.00911409 | − | 0.00281132i | −0.000303466 | − | 9.36069e-5i | ||||
\(903\) | −8.92796 | + | 6.71578i | −0.297104 | + | 0.223487i | ||||
\(904\) | −13.3617 | + | 4.12153i | −0.444403 | + | 0.137080i | ||||
\(905\) | 0.0115709 | − | 0.0506956i | 0.000384631 | − | 0.00168518i | ||||
\(906\) | 1.28757 | + | 4.37038i | 0.0427767 | + | 0.145196i | ||||
\(907\) | −15.8299 | + | 19.8501i | −0.525624 | + | 0.659112i | −0.971793 | − | 0.235837i | \(-0.924217\pi\) |
0.446169 | + | 0.894949i | \(0.352788\pi\) | |||||||
\(908\) | −17.4096 | − | 16.1537i | −0.577757 | − | 0.536080i | ||||
\(909\) | −3.43270 | − | 4.53604i | −0.113855 | − | 0.150451i | ||||
\(910\) | 2.47524 | − | 1.14483i | 0.0820534 | − | 0.0379509i | ||||
\(911\) | 29.2317 | + | 9.01678i | 0.968489 | + | 0.298739i | 0.738350 | − | 0.674418i | \(-0.235606\pi\) |
0.230140 | + | 0.973158i | \(0.426082\pi\) | |||||||
\(912\) | 6.60888 | + | 14.1811i | 0.218842 | + | 0.469584i | ||||
\(913\) | −0.201506 | + | 0.349018i | −0.00666887 | + | 0.0115508i | ||||
\(914\) | −1.56845 | − | 0.483802i | −0.0518797 | − | 0.0160028i | ||||
\(915\) | −18.8615 | + | 10.5728i | −0.623540 | + | 0.349525i | ||||
\(916\) | −6.46802 | − | 16.4802i | −0.213709 | − | 0.544523i | ||||
\(917\) | −45.7868 | + | 13.3455i | −1.51201 | + | 0.440706i | ||||
\(918\) | −1.24590 | − | 0.141233i | −0.0411209 | − | 0.00466138i | ||||
\(919\) | −10.9196 | − | 3.36825i | −0.360205 | − | 0.111108i | 0.109370 | − | 0.994001i | \(-0.465117\pi\) |
−0.469575 | + | 0.882893i | \(0.655593\pi\) | |||||||
\(920\) | −3.63610 | − | 4.55953i | −0.119879 | − | 0.150323i | ||||
\(921\) | 0.119129 | − | 9.38557i | 0.00392544 | − | 0.309265i | ||||
\(922\) | 0.0376795 | − | 0.0472485i | 0.00124091 | − | 0.00155605i | ||||
\(923\) | −40.7774 | − | 27.8016i | −1.34220 | − | 0.915099i | ||||
\(924\) | −0.0161679 | + | 0.571582i | −0.000531886 | + | 0.0188037i | ||||
\(925\) | 13.0637 | − | 8.90671i | 0.429533 | − | 0.292851i | ||||
\(926\) | 0.617823 | − | 8.24427i | 0.0203029 | − | 0.270924i | ||||
\(927\) | −6.42470 | − | 8.48973i | −0.211015 | − | 0.278839i | ||||
\(928\) | −14.5468 | − | 9.91786i | −0.477523 | − | 0.325570i | ||||
\(929\) | −1.50944 | + | 3.84598i | −0.0495230 | + | 0.126182i | −0.953495 | − | 0.301410i | \(-0.902543\pi\) |
0.903972 | + | 0.427592i | \(0.140638\pi\) | |||||||
\(930\) | 1.10333 | + | 2.36750i | 0.0361797 | + | 0.0776333i | ||||
\(931\) | −13.7751 | − | 10.0346i | −0.451461 | − | 0.328871i | ||||
\(932\) | 24.5766 | + | 42.5678i | 0.805032 | + | 1.39436i | ||||
\(933\) | 26.9091 | + | 40.5651i | 0.880964 | + | 1.32804i | ||||
\(934\) | −7.04384 | + | 3.39214i | −0.230482 | + | 0.110994i | ||||
\(935\) | 0.102472 | − | 0.0316085i | 0.00335120 | − | 0.00103371i | ||||
\(936\) | 7.67048 | − | 2.15441i | 0.250717 | − | 0.0704189i | ||||
\(937\) | −24.4352 | − | 11.7674i | −0.798263 | − | 0.384423i | −0.0101458 | − | 0.999949i | \(-0.503230\pi\) |
−0.788117 | + | 0.615525i | \(0.788944\pi\) | |||||||
\(938\) | −2.14769 | − | 0.358032i | −0.0701247 | − | 0.0116902i | ||||
\(939\) | −1.40509 | + | 8.58164i | −0.0458533 | + | 0.280051i | ||||
\(940\) | −10.8096 | + | 13.5547i | −0.352569 | + | 0.442107i | ||||
\(941\) | 35.0688 | − | 23.9095i | 1.14321 | − | 0.779427i | 0.164846 | − | 0.986319i | \(-0.447287\pi\) |
0.978364 | + | 0.206892i | \(0.0663350\pi\) | |||||||
\(942\) | −1.95174 | + | 3.92462i | −0.0635912 | + | 0.127871i | ||||
\(943\) | 2.16068 | − | 2.00482i | 0.0703613 | − | 0.0652858i | ||||
\(944\) | 15.8181 | + | 19.8353i | 0.514835 | + | 0.645583i | ||||
\(945\) | −13.4909 | − | 16.2023i | −0.438858 | − | 0.527061i | ||||
\(946\) | −0.0214500 | + | 0.0268974i | −0.000697399 | + | 0.000874511i | ||||
\(947\) | −1.10646 | − | 14.7647i | −0.0359551 | − | 0.479787i | −0.985896 | − | 0.167358i | \(-0.946476\pi\) |
0.949941 | − | 0.312429i | \(-0.101143\pi\) | |||||||
\(948\) | −6.78658 | + | 5.27260i | −0.220418 | + | 0.171246i | ||||
\(949\) | 8.09741 | − | 14.0251i | 0.262853 | − | 0.455275i | ||||
\(950\) | 1.42274 | 0.0461598 | ||||||||
\(951\) | −54.9695 | − | 22.3831i | −1.78251 | − | 0.725823i | ||||
\(952\) | 0.884929 | + | 2.36238i | 0.0286807 | + | 0.0765653i | ||||
\(953\) | 11.2722 | − | 49.3867i | 0.365142 | − | 1.59979i | −0.374790 | − | 0.927110i | \(-0.622285\pi\) |
0.739932 | − | 0.672682i | \(-0.234858\pi\) | |||||||
\(954\) | 1.11974 | − | 0.139809i | 0.0362530 | − | 0.00452649i | ||||
\(955\) | −29.1446 | − | 4.39284i | −0.943098 | − | 0.142149i | ||||
\(956\) | −24.3960 | + | 30.5916i | −0.789024 | + | 0.989404i | ||||
\(957\) | 0.233497 | − | 0.724214i | 0.00754788 | − | 0.0234105i | ||||
\(958\) | 1.80963 | − | 0.558197i | 0.0584665 | − | 0.0180345i | ||||
\(959\) | 15.5042 | − | 4.51902i | 0.500658 | − | 0.145927i | ||||
\(960\) | 14.3788 | − | 11.1711i | 0.464073 | − | 0.360546i | ||||
\(961\) | 5.57275 | + | 9.65228i | 0.179766 | + | 0.311364i | ||||
\(962\) | 2.00657 | + | 3.47548i | 0.0646945 | + | 0.112054i | ||||
\(963\) | −10.8900 | + | 7.02656i | −0.350926 | + | 0.226428i | ||||
\(964\) | 6.84537 | − | 4.66709i | 0.220474 | − | 0.150317i | ||||
\(965\) | −13.1759 | − | 33.5716i | −0.424146 | − | 1.08071i | ||||
\(966\) | 3.75550 | + | 2.31223i | 0.120831 | + | 0.0743948i | ||||
\(967\) | 1.48348 | − | 3.77983i | 0.0477054 | − | 0.121551i | −0.905035 | − | 0.425337i | \(-0.860156\pi\) |
0.952740 | + | 0.303786i | \(0.0982508\pi\) | |||||||
\(968\) | −2.13357 | − | 9.34777i | −0.0685754 | − | 0.300449i | ||||
\(969\) | −2.05326 | + | 4.12875i | −0.0659601 | + | 0.132634i | ||||
\(970\) | −3.13152 | − | 1.50806i | −0.100547 | − | 0.0484209i | ||||
\(971\) | 0.810658 | + | 2.06552i | 0.0260153 | + | 0.0662858i | 0.943291 | − | 0.331967i | \(-0.107712\pi\) |
−0.917276 | + | 0.398252i | \(0.869617\pi\) | |||||||
\(972\) | −15.5066 | − | 26.1684i | −0.497374 | − | 0.839352i | ||||
\(973\) | 34.9216 | − | 4.70816i | 1.11953 | − | 0.150937i | ||||
\(974\) | 1.95989 | − | 1.33623i | 0.0627990 | − | 0.0428156i | ||||
\(975\) | −2.25715 | + | 13.7857i | −0.0722867 | + | 0.441494i | ||||
\(976\) | 22.1392 | + | 20.5422i | 0.708660 | + | 0.657540i | ||||
\(977\) | −1.82625 | + | 24.3696i | −0.0584269 | + | 0.779652i | 0.888638 | + | 0.458610i | \(0.151652\pi\) |
−0.947065 | + | 0.321043i | \(0.895967\pi\) | |||||||
\(978\) | −1.24211 | + | 2.49767i | −0.0397183 | + | 0.0798667i | ||||
\(979\) | 0.285317 | − | 0.494183i | 0.00911876 | − | 0.0157942i | ||||
\(980\) | −8.25710 | + | 19.2516i | −0.263763 | + | 0.614971i | ||||
\(981\) | −40.4604 | − | 7.15308i | −1.29180 | − | 0.228380i | ||||
\(982\) | 7.73944 | − | 1.16653i | 0.246975 | − | 0.0372255i | ||||
\(983\) | −13.0444 | + | 6.28187i | −0.416053 | + | 0.200361i | −0.630186 | − | 0.776444i | \(-0.717022\pi\) |
0.214133 | + | 0.976804i | \(0.431307\pi\) | |||||||
\(984\) | −0.684753 | − | 0.757036i | −0.0218291 | − | 0.0241334i | ||||
\(985\) | −13.3786 | + | 6.44280i | −0.426278 | + | 0.205285i | ||||
\(986\) | −0.123889 | − | 1.65318i | −0.00394543 | − | 0.0526481i | ||||
\(987\) | 8.53969 | − | 25.1382i | 0.271821 | − | 0.800158i | ||||
\(988\) | 1.08128 | − | 14.4287i | 0.0344002 | − | 0.459039i | ||||
\(989\) | −3.88420 | − | 9.89679i | −0.123511 | − | 0.314700i | ||||
\(990\) | −0.0526987 | − | 0.0379238i | −0.00167487 | − | 0.00120530i | ||||
\(991\) | 4.12700 | − | 10.5154i | 0.131098 | − | 0.334033i | −0.850219 | − | 0.526429i | \(-0.823531\pi\) |
0.981317 | + | 0.192396i | \(0.0616258\pi\) | |||||||
\(992\) | 8.37075 | − | 7.76692i | 0.265772 | − | 0.246600i | ||||
\(993\) | −21.4661 | + | 1.33493i | −0.681206 | + | 0.0423626i | ||||
\(994\) | −9.37628 | + | 1.26412i | −0.297398 | + | 0.0400955i | ||||
\(995\) | −0.410542 | − | 0.0618792i | −0.0130150 | − | 0.00196170i | ||||
\(996\) | −18.5802 | + | 10.4151i | −0.588736 | + | 0.330016i | ||||
\(997\) | 0.784555 | + | 3.43736i | 0.0248471 | + | 0.108862i | 0.985831 | − | 0.167743i | \(-0.0536478\pi\) |
−0.960984 | + | 0.276605i | \(0.910791\pi\) | |||||||
\(998\) | −2.77194 | − | 4.80114i | −0.0877441 | − | 0.151977i | ||||
\(999\) | 21.9531 | − | 21.9234i | 0.694565 | − | 0.693626i |
(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 | 441.2.z.a.142.30 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.30 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.30 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.30 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.30 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.30 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.30 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.30 | yes | 648 | 441.382 | even | 21 | inner |