Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(31,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.q (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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 81.2 | ||
Character | \(\chi\) | \(=\) | 430.81 |
Dual form | 430.2.q.c.361.2 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.222521 | − | 0.974928i | 0.157346 | − | 0.689378i | ||||
\(3\) | −1.23079 | − | 0.379647i | −0.710594 | − | 0.219189i | −0.0816740 | − | 0.996659i | \(-0.526027\pi\) |
−0.628920 | + | 0.777470i | \(0.716503\pi\) | |||||||
\(4\) | −0.900969 | − | 0.433884i | −0.450484 | − | 0.216942i | ||||
\(5\) | 0.365341 | + | 0.930874i | 0.163385 | + | 0.416299i | ||||
\(6\) | −0.644004 | + | 1.11545i | −0.262914 | + | 0.455380i | ||||
\(7\) | 1.26969 | + | 2.19916i | 0.479896 | + | 0.831204i | 0.999734 | − | 0.0230605i | \(-0.00734105\pi\) |
−0.519838 | + | 0.854265i | \(0.674008\pi\) | |||||||
\(8\) | −0.623490 | + | 0.781831i | −0.220437 | + | 0.276419i | ||||
\(9\) | −1.10802 | − | 0.755432i | −0.369339 | − | 0.251811i | ||||
\(10\) | 0.988831 | − | 0.149042i | 0.312696 | − | 0.0471313i | ||||
\(11\) | 3.56146 | − | 1.71511i | 1.07382 | − | 0.517124i | 0.188484 | − | 0.982076i | \(-0.439643\pi\) |
0.885336 | + | 0.464952i | \(0.153928\pi\) | |||||||
\(12\) | 0.944177 | + | 0.876068i | 0.272560 | + | 0.252899i | ||||
\(13\) | 4.90826 | + | 0.739801i | 1.36131 | + | 0.205184i | 0.788767 | − | 0.614693i | \(-0.210720\pi\) |
0.572540 | + | 0.819877i | \(0.305958\pi\) | |||||||
\(14\) | 2.42655 | − | 0.748493i | 0.648524 | − | 0.200043i | ||||
\(15\) | −0.0962529 | − | 1.28441i | −0.0248524 | − | 0.331632i | ||||
\(16\) | 0.623490 | + | 0.781831i | 0.155872 | + | 0.195458i | ||||
\(17\) | 2.18157 | − | 5.55856i | 0.529109 | − | 1.34815i | −0.377434 | − | 0.926036i | \(-0.623194\pi\) |
0.906544 | − | 0.422112i | \(-0.138711\pi\) | |||||||
\(18\) | −0.983049 | + | 0.912136i | −0.231707 | + | 0.214992i | ||||
\(19\) | −0.208331 | + | 0.142038i | −0.0477945 | + | 0.0325857i | −0.586982 | − | 0.809600i | \(-0.699684\pi\) |
0.539187 | + | 0.842186i | \(0.318732\pi\) | |||||||
\(20\) | 0.0747301 | − | 0.997204i | 0.0167102 | − | 0.222982i | ||||
\(21\) | −0.727806 | − | 3.18873i | −0.158820 | − | 0.695837i | ||||
\(22\) | −0.879607 | − | 3.85381i | −0.187533 | − | 0.821635i | ||||
\(23\) | 0.224135 | − | 2.99088i | 0.0467355 | − | 0.623641i | −0.923830 | − | 0.382803i | \(-0.874959\pi\) |
0.970565 | − | 0.240838i | \(-0.0774223\pi\) | |||||||
\(24\) | 1.06420 | − | 0.725561i | 0.217229 | − | 0.148104i | ||||
\(25\) | −0.733052 | + | 0.680173i | −0.146610 | + | 0.136035i | ||||
\(26\) | 1.81344 | − | 4.62058i | 0.355646 | − | 0.906170i | ||||
\(27\) | 3.48611 | + | 4.37145i | 0.670902 | + | 0.841285i | ||||
\(28\) | −0.189767 | − | 2.53227i | −0.0358627 | − | 0.478554i | ||||
\(29\) | −7.51871 | + | 2.31922i | −1.39619 | + | 0.430668i | −0.899371 | − | 0.437187i | \(-0.855975\pi\) |
−0.496819 | + | 0.867854i | \(0.665499\pi\) | |||||||
\(30\) | −1.27362 | − | 0.191968i | −0.232530 | − | 0.0350483i | ||||
\(31\) | 5.66401 | + | 5.25544i | 1.01729 | + | 0.943904i | 0.998435 | − | 0.0559182i | \(-0.0178086\pi\) |
0.0188513 | + | 0.999822i | \(0.493999\pi\) | |||||||
\(32\) | 0.900969 | − | 0.433884i | 0.159270 | − | 0.0767005i | ||||
\(33\) | −5.03452 | + | 0.758832i | −0.876398 | + | 0.132096i | ||||
\(34\) | −4.93375 | − | 3.36377i | −0.846131 | − | 0.576882i | ||||
\(35\) | −1.58327 | + | 1.98536i | −0.267622 | + | 0.335587i | ||||
\(36\) | 0.670518 | + | 1.16137i | 0.111753 | + | 0.193562i | ||||
\(37\) | 4.06894 | − | 7.04762i | 0.668930 | − | 1.15862i | −0.309273 | − | 0.950973i | \(-0.600086\pi\) |
0.978204 | − | 0.207648i | \(-0.0665809\pi\) | |||||||
\(38\) | 0.0921186 | + | 0.234714i | 0.0149436 | + | 0.0380757i | ||||
\(39\) | −5.76015 | − | 2.77394i | −0.922363 | − | 0.444186i | ||||
\(40\) | −0.955573 | − | 0.294755i | −0.151089 | − | 0.0466049i | ||||
\(41\) | 0.0476591 | − | 0.208808i | 0.00744310 | − | 0.0326104i | −0.971070 | − | 0.238795i | \(-0.923248\pi\) |
0.978513 | + | 0.206185i | \(0.0661048\pi\) | |||||||
\(42\) | −3.27073 | −0.504685 | ||||||||
\(43\) | 0.105251 | − | 6.55659i | 0.0160506 | − | 0.999871i | ||||
\(44\) | −3.95292 | −0.595925 | ||||||||
\(45\) | 0.298409 | − | 1.30741i | 0.0444841 | − | 0.194898i | ||||
\(46\) | −2.86602 | − | 0.884049i | −0.422571 | − | 0.130346i | ||||
\(47\) | 6.56203 | + | 3.16011i | 0.957170 | + | 0.460949i | 0.846195 | − | 0.532874i | \(-0.178888\pi\) |
0.110976 | + | 0.993823i | \(0.464602\pi\) | |||||||
\(48\) | −0.470562 | − | 1.19897i | −0.0679198 | − | 0.173057i | ||||
\(49\) | 0.275797 | − | 0.477695i | 0.0393996 | − | 0.0682421i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | −4.79534 | + | 6.01317i | −0.671482 | + | 0.842012i | ||||
\(52\) | −4.10120 | − | 2.79615i | −0.568735 | − | 0.387757i | ||||
\(53\) | 10.3831 | − | 1.56500i | 1.42623 | − | 0.214969i | 0.609864 | − | 0.792506i | \(-0.291224\pi\) |
0.816365 | + | 0.577537i | \(0.195986\pi\) | |||||||
\(54\) | 5.03758 | − | 2.42597i | 0.685527 | − | 0.330133i | ||||
\(55\) | 2.89769 | + | 2.68867i | 0.390725 | + | 0.362540i | ||||
\(56\) | −2.51101 | − | 0.378474i | −0.335548 | − | 0.0505757i | ||||
\(57\) | 0.310335 | − | 0.0957257i | 0.0411049 | − | 0.0126792i | ||||
\(58\) | 0.587997 | + | 7.84628i | 0.0772078 | + | 1.03027i | ||||
\(59\) | 2.30594 | + | 2.89155i | 0.300208 | + | 0.376448i | 0.908940 | − | 0.416927i | \(-0.136893\pi\) |
−0.608732 | + | 0.793376i | \(0.708322\pi\) | |||||||
\(60\) | −0.470562 | + | 1.19897i | −0.0607493 | + | 0.154787i | ||||
\(61\) | −9.59261 | + | 8.90064i | −1.22821 | + | 1.13961i | −0.242678 | + | 0.970107i | \(0.578026\pi\) |
−0.985530 | + | 0.169504i | \(0.945784\pi\) | |||||||
\(62\) | 6.38403 | − | 4.35256i | 0.810773 | − | 0.552776i | ||||
\(63\) | 0.254485 | − | 3.39587i | 0.0320621 | − | 0.427839i | ||||
\(64\) | −0.222521 | − | 0.974928i | −0.0278151 | − | 0.121866i | ||||
\(65\) | 1.10453 | + | 4.83925i | 0.137000 | + | 0.600235i | ||||
\(66\) | −0.380480 | + | 5.07715i | −0.0468339 | + | 0.624954i | ||||
\(67\) | −8.22517 | + | 5.60783i | −1.00486 | + | 0.685105i | −0.949632 | − | 0.313368i | \(-0.898543\pi\) |
−0.0552330 | + | 0.998473i | \(0.517590\pi\) | |||||||
\(68\) | −4.37730 | + | 4.06154i | −0.530825 | + | 0.492534i | ||||
\(69\) | −1.41134 | + | 3.59604i | −0.169905 | + | 0.432912i | ||||
\(70\) | 1.58327 | + | 1.98536i | 0.189237 | + | 0.237296i | ||||
\(71\) | 0.581176 | + | 7.75526i | 0.0689729 | + | 0.920380i | 0.919156 | + | 0.393893i | \(0.128872\pi\) |
−0.850183 | + | 0.526487i | \(0.823509\pi\) | |||||||
\(72\) | 1.28146 | − | 0.395277i | 0.151021 | − | 0.0465839i | ||||
\(73\) | −8.74793 | − | 1.31854i | −1.02387 | − | 0.154323i | −0.384420 | − | 0.923158i | \(-0.625599\pi\) |
−0.639447 | + | 0.768835i | \(0.720837\pi\) | |||||||
\(74\) | −5.96550 | − | 5.53517i | −0.693475 | − | 0.643451i | ||||
\(75\) | 1.16046 | − | 0.558846i | 0.133998 | − | 0.0645299i | ||||
\(76\) | 0.249328 | − | 0.0375801i | 0.0285999 | − | 0.00431074i | ||||
\(77\) | 8.29372 | + | 5.65456i | 0.945157 | + | 0.644397i | ||||
\(78\) | −3.98615 | + | 4.99847i | −0.451343 | + | 0.565966i | ||||
\(79\) | 2.83745 | + | 4.91460i | 0.319238 | + | 0.552936i | 0.980329 | − | 0.197370i | \(-0.0632399\pi\) |
−0.661092 | + | 0.750305i | \(0.729907\pi\) | |||||||
\(80\) | −0.500000 | + | 0.866025i | −0.0559017 | + | 0.0968246i | ||||
\(81\) | −1.16124 | − | 2.95880i | −0.129027 | − | 0.328755i | ||||
\(82\) | −0.192968 | − | 0.0929284i | −0.0213097 | − | 0.0102622i | ||||
\(83\) | 2.66511 | + | 0.822078i | 0.292534 | + | 0.0902348i | 0.437549 | − | 0.899195i | \(-0.355847\pi\) |
−0.145015 | + | 0.989430i | \(0.546323\pi\) | |||||||
\(84\) | −0.727806 | + | 3.18873i | −0.0794101 | + | 0.347919i | ||||
\(85\) | 5.97134 | 0.647682 | ||||||||
\(86\) | −6.36879 | − | 1.56159i | −0.686764 | − | 0.168391i | ||||
\(87\) | 10.1344 | 1.08652 | ||||||||
\(88\) | −0.879607 | + | 3.85381i | −0.0937664 | + | 0.410818i | ||||
\(89\) | −16.7107 | − | 5.15458i | −1.77134 | − | 0.546385i | −0.775004 | − | 0.631956i | \(-0.782252\pi\) |
−0.996332 | + | 0.0855716i | \(0.972728\pi\) | |||||||
\(90\) | −1.20823 | − | 0.581854i | −0.127359 | − | 0.0613328i | ||||
\(91\) | 4.60501 | + | 11.7334i | 0.482736 | + | 1.22999i | ||||
\(92\) | −1.49963 | + | 2.59744i | −0.156348 | + | 0.270802i | ||||
\(93\) | −4.97597 | − | 8.61864i | −0.515984 | − | 0.893711i | ||||
\(94\) | 4.54107 | − | 5.69432i | 0.468375 | − | 0.587324i | ||||
\(95\) | −0.208331 | − | 0.142038i | −0.0213743 | − | 0.0145728i | ||||
\(96\) | −1.27362 | + | 0.191968i | −0.129988 | + | 0.0195926i | ||||
\(97\) | 9.12818 | − | 4.39590i | 0.926827 | − | 0.446336i | 0.0913231 | − | 0.995821i | \(-0.470890\pi\) |
0.835504 | + | 0.549485i | \(0.185176\pi\) | |||||||
\(98\) | −0.404348 | − | 0.375180i | −0.0408453 | − | 0.0378989i | ||||
\(99\) | −5.24180 | − | 0.790074i | −0.526820 | − | 0.0794054i | ||||
\(100\) | 0.955573 | − | 0.294755i | 0.0955573 | − | 0.0294755i | ||||
\(101\) | −0.780740 | − | 10.4183i | −0.0776866 | − | 1.03666i | −0.890754 | − | 0.454486i | \(-0.849823\pi\) |
0.813067 | − | 0.582169i | \(-0.197796\pi\) | |||||||
\(102\) | 4.79534 | + | 6.01317i | 0.474809 | + | 0.595392i | ||||
\(103\) | −6.53021 | + | 16.6387i | −0.643441 | + | 1.63946i | 0.119378 | + | 0.992849i | \(0.461910\pi\) |
−0.762819 | + | 0.646612i | \(0.776185\pi\) | |||||||
\(104\) | −3.63865 | + | 3.37618i | −0.356799 | + | 0.331061i | ||||
\(105\) | 2.70240 | − | 1.84247i | 0.263728 | − | 0.179806i | ||||
\(106\) | 0.784695 | − | 10.4710i | 0.0762163 | − | 1.01704i | ||||
\(107\) | 0.145163 | + | 0.636002i | 0.0140335 | + | 0.0614846i | 0.981460 | − | 0.191668i | \(-0.0613897\pi\) |
−0.967426 | + | 0.253153i | \(0.918533\pi\) | |||||||
\(108\) | −1.24418 | − | 5.45110i | −0.119721 | − | 0.524533i | ||||
\(109\) | −0.164174 | + | 2.19075i | −0.0157250 | + | 0.209836i | 0.983807 | + | 0.179233i | \(0.0573617\pi\) |
−0.999532 | + | 0.0306026i | \(0.990257\pi\) | |||||||
\(110\) | 3.26605 | − | 2.22676i | 0.311406 | − | 0.212313i | ||||
\(111\) | −7.68360 | + | 7.12934i | −0.729296 | + | 0.676687i | ||||
\(112\) | −0.927736 | + | 2.36383i | −0.0876629 | + | 0.223361i | ||||
\(113\) | −7.31375 | − | 9.17115i | −0.688019 | − | 0.862749i | 0.308046 | − | 0.951371i | \(-0.400325\pi\) |
−0.996065 | + | 0.0886225i | \(0.971754\pi\) | |||||||
\(114\) | −0.0242696 | − | 0.323855i | −0.00227306 | − | 0.0303318i | ||||
\(115\) | 2.86602 | − | 0.884049i | 0.267257 | − | 0.0824380i | ||||
\(116\) | 7.78040 | + | 1.17271i | 0.722392 | + | 0.108883i | ||||
\(117\) | −4.87956 | − | 4.52757i | −0.451116 | − | 0.418574i | ||||
\(118\) | 3.33218 | − | 1.60469i | 0.306752 | − | 0.147724i | ||||
\(119\) | 14.9941 | − | 2.25999i | 1.37450 | − | 0.207173i | ||||
\(120\) | 1.06420 | + | 0.725561i | 0.0971479 | + | 0.0662343i | ||||
\(121\) | 2.88399 | − | 3.61641i | 0.262181 | − | 0.328764i | ||||
\(122\) | 6.54293 | + | 11.3327i | 0.592369 | + | 1.02601i | ||||
\(123\) | −0.137931 | + | 0.238904i | −0.0124369 | + | 0.0215413i | ||||
\(124\) | −2.82285 | − | 7.19251i | −0.253499 | − | 0.645906i | ||||
\(125\) | −0.900969 | − | 0.433884i | −0.0805851 | − | 0.0388077i | ||||
\(126\) | −3.25410 | − | 1.00376i | −0.289898 | − | 0.0894216i | ||||
\(127\) | −3.92027 | + | 17.1758i | −0.347867 | + | 1.52411i | 0.434145 | + | 0.900843i | \(0.357051\pi\) |
−0.782012 | + | 0.623263i | \(0.785806\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −2.61873 | + | 8.02980i | −0.230567 | + | 0.706985i | ||||
\(130\) | 4.96370 | 0.435346 | ||||||||
\(131\) | 4.45547 | − | 19.5207i | 0.389277 | − | 1.70553i | −0.277881 | − | 0.960616i | \(-0.589632\pi\) |
0.667157 | − | 0.744917i | \(-0.267511\pi\) | |||||||
\(132\) | 4.86519 | + | 1.50071i | 0.423461 | + | 0.130620i | ||||
\(133\) | −0.576879 | − | 0.277810i | −0.0500217 | − | 0.0240892i | ||||
\(134\) | 3.63695 | + | 9.26681i | 0.314185 | + | 0.800530i | ||||
\(135\) | −2.79564 | + | 4.84220i | −0.240611 | + | 0.416750i | ||||
\(136\) | 2.98567 | + | 5.17133i | 0.256019 | + | 0.443438i | ||||
\(137\) | −4.21755 | + | 5.28864i | −0.360329 | + | 0.451839i | −0.928644 | − | 0.370973i | \(-0.879024\pi\) |
0.568314 | + | 0.822811i | \(0.307596\pi\) | |||||||
\(138\) | 3.19183 | + | 2.17615i | 0.271706 | + | 0.185246i | ||||
\(139\) | −9.85180 | + | 1.48492i | −0.835618 | + | 0.125949i | −0.552894 | − | 0.833252i | \(-0.686476\pi\) |
−0.282725 | + | 0.959201i | \(0.591238\pi\) | |||||||
\(140\) | 2.28789 | − | 1.10179i | 0.193362 | − | 0.0931184i | ||||
\(141\) | −6.87673 | − | 6.38067i | −0.579125 | − | 0.537349i | ||||
\(142\) | 7.69014 | + | 1.15910i | 0.645342 | + | 0.0972697i | ||||
\(143\) | 18.7494 | − | 5.78342i | 1.56790 | − | 0.483634i | ||||
\(144\) | −0.100216 | − | 1.33729i | −0.00835131 | − | 0.111440i | ||||
\(145\) | −4.90579 | − | 6.15167i | −0.407404 | − | 0.510868i | ||||
\(146\) | −3.23208 | + | 8.23520i | −0.267489 | + | 0.681550i | ||||
\(147\) | −0.520803 | + | 0.483234i | −0.0429551 | + | 0.0398565i | ||||
\(148\) | −6.72384 | + | 4.58424i | −0.552696 | + | 0.376822i | ||||
\(149\) | 0.00670867 | − | 0.0895210i | 0.000549596 | − | 0.00733384i | −0.996922 | − | 0.0783965i | \(-0.975020\pi\) |
0.997472 | + | 0.0710627i | \(0.0226390\pi\) | |||||||
\(150\) | −0.286609 | − | 1.25571i | −0.0234015 | − | 0.102529i | ||||
\(151\) | 0.409829 | + | 1.79558i | 0.0333515 | + | 0.146122i | 0.988862 | − | 0.148834i | \(-0.0475520\pi\) |
−0.955511 | + | 0.294956i | \(0.904695\pi\) | |||||||
\(152\) | 0.0188427 | − | 0.251439i | 0.00152835 | − | 0.0203944i | ||||
\(153\) | −6.61633 | + | 4.51094i | −0.534899 | + | 0.364688i | ||||
\(154\) | 7.35832 | − | 6.82752i | 0.592950 | − | 0.550178i | ||||
\(155\) | −2.82285 | + | 7.19251i | −0.226737 | + | 0.577716i | ||||
\(156\) | 3.98615 | + | 4.99847i | 0.319147 | + | 0.400198i | ||||
\(157\) | −0.508107 | − | 6.78022i | −0.0405514 | − | 0.541121i | −0.980074 | − | 0.198633i | \(-0.936350\pi\) |
0.939522 | − | 0.342487i | \(-0.111269\pi\) | |||||||
\(158\) | 5.42277 | − | 1.67270i | 0.431412 | − | 0.133073i | ||||
\(159\) | −13.3735 | − | 2.01573i | −1.06059 | − | 0.159858i | ||||
\(160\) | 0.733052 | + | 0.680173i | 0.0579528 | + | 0.0537724i | ||||
\(161\) | 6.86200 | − | 3.30457i | 0.540802 | − | 0.260436i | ||||
\(162\) | −3.14301 | + | 0.473733i | −0.246939 | + | 0.0372200i | ||||
\(163\) | −10.2733 | − | 7.00423i | −0.804668 | − | 0.548614i | 0.0896874 | − | 0.995970i | \(-0.471413\pi\) |
−0.894356 | + | 0.447356i | \(0.852366\pi\) | |||||||
\(164\) | −0.133538 | + | 0.167451i | −0.0104276 | + | 0.0130757i | ||||
\(165\) | −2.54569 | − | 4.40927i | −0.198182 | − | 0.343261i | ||||
\(166\) | 1.39451 | − | 2.41536i | 0.108235 | − | 0.187468i | ||||
\(167\) | −7.39661 | − | 18.8462i | −0.572367 | − | 1.45837i | −0.864818 | − | 0.502086i | \(-0.832566\pi\) |
0.292451 | − | 0.956280i | \(-0.405529\pi\) | |||||||
\(168\) | 2.94683 | + | 1.41912i | 0.227353 | + | 0.109487i | ||||
\(169\) | 11.1213 | + | 3.43046i | 0.855483 | + | 0.263882i | ||||
\(170\) | 1.32875 | − | 5.82162i | 0.101910 | − | 0.446498i | ||||
\(171\) | 0.338134 | 0.0258578 | ||||||||
\(172\) | −2.93963 | + | 5.86162i | −0.224144 | + | 0.446944i | ||||
\(173\) | 1.35717 | 0.103183 | 0.0515917 | − | 0.998668i | \(-0.483571\pi\) | ||||
0.0515917 | + | 0.998668i | \(0.483571\pi\) | |||||||
\(174\) | 2.25512 | − | 9.88031i | 0.170960 | − | 0.749025i | ||||
\(175\) | −2.42655 | − | 0.748493i | −0.183430 | − | 0.0565807i | ||||
\(176\) | 3.56146 | + | 1.71511i | 0.268455 | + | 0.129281i | ||||
\(177\) | −1.74034 | − | 4.43433i | −0.130812 | − | 0.333304i | ||||
\(178\) | −8.74384 | + | 15.1448i | −0.655378 | + | 1.13515i | ||||
\(179\) | −2.00082 | − | 3.46552i | −0.149548 | − | 0.259025i | 0.781512 | − | 0.623890i | \(-0.214449\pi\) |
−0.931061 | + | 0.364865i | \(0.881115\pi\) | |||||||
\(180\) | −0.836122 | + | 1.04846i | −0.0623209 | + | 0.0781479i | ||||
\(181\) | −9.59263 | − | 6.54014i | −0.713014 | − | 0.486125i | 0.151676 | − | 0.988430i | \(-0.451533\pi\) |
−0.864690 | + | 0.502305i | \(0.832485\pi\) | |||||||
\(182\) | 12.4639 | − | 1.87863i | 0.923886 | − | 0.139253i | ||||
\(183\) | 15.1855 | − | 7.31297i | 1.12255 | − | 0.540591i | ||||
\(184\) | 2.19862 | + | 2.04002i | 0.162084 | + | 0.150392i | ||||
\(185\) | 8.04700 | + | 1.21289i | 0.591627 | + | 0.0891734i | ||||
\(186\) | −9.50981 | + | 2.93339i | −0.697293 | + | 0.215086i | ||||
\(187\) | −1.76394 | − | 23.5382i | −0.128992 | − | 1.72128i | ||||
\(188\) | −4.54107 | − | 5.69432i | −0.331191 | − | 0.415301i | ||||
\(189\) | −5.18724 | + | 13.2169i | −0.377316 | + | 0.961386i | ||||
\(190\) | −0.184835 | + | 0.171502i | −0.0134093 | + | 0.0124420i | ||||
\(191\) | −3.28676 | + | 2.24088i | −0.237822 | + | 0.162144i | −0.676367 | − | 0.736565i | \(-0.736446\pi\) |
0.438545 | + | 0.898709i | \(0.355494\pi\) | |||||||
\(192\) | −0.0962529 | + | 1.28441i | −0.00694646 | + | 0.0926940i | ||||
\(193\) | 4.32685 | + | 18.9572i | 0.311453 | + | 1.36457i | 0.852128 | + | 0.523334i | \(0.175312\pi\) |
−0.540674 | + | 0.841232i | \(0.681831\pi\) | |||||||
\(194\) | −2.25448 | − | 9.87750i | −0.161862 | − | 0.709163i | ||||
\(195\) | 0.477771 | − | 6.37541i | 0.0342139 | − | 0.456553i | ||||
\(196\) | −0.455749 | + | 0.310724i | −0.0325535 | + | 0.0221946i | ||||
\(197\) | 4.53962 | − | 4.21215i | 0.323434 | − | 0.300103i | −0.501698 | − | 0.865043i | \(-0.667291\pi\) |
0.825132 | + | 0.564940i | \(0.191101\pi\) | |||||||
\(198\) | −1.93667 | + | 4.93457i | −0.137633 | + | 0.350684i | ||||
\(199\) | 6.23746 | + | 7.82152i | 0.442162 | + | 0.554453i | 0.952112 | − | 0.305751i | \(-0.0989075\pi\) |
−0.509950 | + | 0.860204i | \(0.670336\pi\) | |||||||
\(200\) | −0.0747301 | − | 0.997204i | −0.00528422 | − | 0.0705130i | ||||
\(201\) | 12.2524 | − | 3.77937i | 0.864219 | − | 0.266576i | ||||
\(202\) | −10.3308 | − | 1.55711i | −0.726871 | − | 0.109558i | ||||
\(203\) | −14.6467 | − | 13.5902i | −1.02800 | − | 0.953843i | ||||
\(204\) | 6.92947 | − | 3.33705i | 0.485160 | − | 0.233641i | ||||
\(205\) | 0.211786 | − | 0.0319216i | 0.0147918 | − | 0.00222950i | ||||
\(206\) | 14.7684 | + | 10.0689i | 1.02897 | + | 0.701537i | ||||
\(207\) | −2.50775 | + | 3.14462i | −0.174301 | + | 0.218566i | ||||
\(208\) | 2.48185 | + | 4.29869i | 0.172085 | + | 0.298061i | ||||
\(209\) | −0.498352 | + | 0.863172i | −0.0344718 | + | 0.0597068i | ||||
\(210\) | −1.19493 | − | 3.04464i | −0.0824581 | − | 0.210100i | ||||
\(211\) | −11.1707 | − | 5.37952i | −0.769021 | − | 0.370341i | 0.00787559 | − | 0.999969i | \(-0.497493\pi\) |
−0.776897 | + | 0.629628i | \(0.783207\pi\) | |||||||
\(212\) | −10.0339 | − | 3.09504i | −0.689130 | − | 0.212568i | ||||
\(213\) | 2.22896 | − | 9.76570i | 0.152726 | − | 0.669135i | ||||
\(214\) | 0.652358 | 0.0445942 | ||||||||
\(215\) | 6.14181 | − | 2.29742i | 0.418868 | − | 0.156683i | ||||
\(216\) | −5.59129 | −0.380439 | ||||||||
\(217\) | −4.36603 | + | 19.1288i | −0.296385 | + | 1.29855i | ||||
\(218\) | 2.09929 | + | 0.647546i | 0.142182 | + | 0.0438573i | ||||
\(219\) | 10.2662 | + | 4.94396i | 0.693729 | + | 0.334082i | ||||
\(220\) | −1.44416 | − | 3.67967i | −0.0973655 | − | 0.248083i | ||||
\(221\) | 14.8200 | − | 25.6689i | 0.996899 | − | 1.72668i | ||||
\(222\) | 5.24083 | + | 9.07739i | 0.351742 | + | 0.609234i | ||||
\(223\) | −1.96876 | + | 2.46875i | −0.131838 | + | 0.165320i | −0.843369 | − | 0.537335i | \(-0.819431\pi\) |
0.711531 | + | 0.702655i | \(0.248002\pi\) | |||||||
\(224\) | 2.09813 | + | 1.43048i | 0.140187 | + | 0.0955779i | ||||
\(225\) | 1.32606 | − | 0.199871i | 0.0884038 | − | 0.0133247i | ||||
\(226\) | −10.5687 | + | 5.08960i | −0.703017 | + | 0.338555i | ||||
\(227\) | 15.6082 | + | 14.4823i | 1.03596 | + | 0.961226i | 0.999274 | − | 0.0381012i | \(-0.0121309\pi\) |
0.0366812 | + | 0.999327i | \(0.488321\pi\) | |||||||
\(228\) | −0.321136 | − | 0.0484035i | −0.0212678 | − | 0.00320560i | ||||
\(229\) | −12.0557 | + | 3.71868i | −0.796661 | + | 0.245737i | −0.666256 | − | 0.745723i | \(-0.732104\pi\) |
−0.130406 | + | 0.991461i | \(0.541628\pi\) | |||||||
\(230\) | −0.224135 | − | 2.99088i | −0.0147791 | − | 0.197213i | ||||
\(231\) | −8.06105 | − | 10.1082i | −0.530378 | − | 0.665074i | ||||
\(232\) | 2.87460 | − | 7.32437i | 0.188727 | − | 0.480869i | ||||
\(233\) | −7.99981 | + | 7.42274i | −0.524085 | + | 0.486280i | −0.897273 | − | 0.441476i | \(-0.854455\pi\) |
0.373188 | + | 0.927756i | \(0.378265\pi\) | |||||||
\(234\) | −5.49986 | + | 3.74974i | −0.359537 | + | 0.245128i | ||||
\(235\) | −0.544282 | + | 7.26294i | −0.0355050 | + | 0.473782i | ||||
\(236\) | −0.822980 | − | 3.60571i | −0.0535714 | − | 0.234712i | ||||
\(237\) | −1.62647 | − | 7.12604i | −0.105651 | − | 0.462886i | ||||
\(238\) | 1.13316 | − | 15.1210i | 0.0734522 | − | 0.980151i | ||||
\(239\) | −15.9829 | + | 10.8970i | −1.03385 | + | 0.704866i | −0.956379 | − | 0.292128i | \(-0.905637\pi\) |
−0.0774698 | + | 0.996995i | \(0.524684\pi\) | |||||||
\(240\) | 0.944177 | − | 0.876068i | 0.0609463 | − | 0.0565499i | ||||
\(241\) | 7.40106 | − | 18.8576i | 0.476744 | − | 1.21472i | −0.467062 | − | 0.884225i | \(-0.654687\pi\) |
0.943806 | − | 0.330500i | \(-0.107217\pi\) | |||||||
\(242\) | −2.88399 | − | 3.61641i | −0.185390 | − | 0.232472i | ||||
\(243\) | −0.947571 | − | 12.6445i | −0.0607867 | − | 0.811142i | ||||
\(244\) | 12.5045 | − | 3.85712i | 0.800518 | − | 0.246927i | ||||
\(245\) | 0.545434 | + | 0.0822109i | 0.0348465 | + | 0.00525226i | ||||
\(246\) | 0.202222 | + | 0.187634i | 0.0128932 | + | 0.0119631i | ||||
\(247\) | −1.12762 | + | 0.543035i | −0.0717490 | + | 0.0345525i | ||||
\(248\) | −7.64032 | + | 1.15159i | −0.485161 | + | 0.0731262i | ||||
\(249\) | −2.96808 | − | 2.02360i | −0.188094 | − | 0.128241i | ||||
\(250\) | −0.623490 | + | 0.781831i | −0.0394330 | + | 0.0494474i | ||||
\(251\) | −4.18511 | − | 7.24882i | −0.264162 | − | 0.457542i | 0.703182 | − | 0.711010i | \(-0.251762\pi\) |
−0.967344 | + | 0.253468i | \(0.918429\pi\) | |||||||
\(252\) | −1.70269 | + | 2.94915i | −0.107260 | + | 0.185779i | ||||
\(253\) | −4.33143 | − | 11.0363i | −0.272315 | − | 0.693846i | ||||
\(254\) | 15.8728 | + | 7.64395i | 0.995950 | + | 0.479624i | ||||
\(255\) | −7.34943 | − | 2.26700i | −0.460239 | − | 0.141965i | ||||
\(256\) | −0.222521 | + | 0.974928i | −0.0139076 | + | 0.0609330i | ||||
\(257\) | 1.24322 | 0.0775501 | 0.0387751 | − | 0.999248i | \(-0.487654\pi\) | ||||
0.0387751 | + | 0.999248i | \(0.487654\pi\) | |||||||
\(258\) | 7.24575 | + | 4.33987i | 0.451101 | + | 0.270189i | ||||
\(259\) | 20.6651 | 1.28407 | ||||||||
\(260\) | 1.10453 | − | 4.83925i | 0.0684999 | − | 0.300118i | ||||
\(261\) | 10.0829 | + | 3.11015i | 0.624113 | + | 0.192514i | ||||
\(262\) | −18.0398 | − | 8.68753i | −1.11451 | − | 0.536718i | ||||
\(263\) | 3.84138 | + | 9.78768i | 0.236870 | + | 0.603534i | 0.999038 | − | 0.0438444i | \(-0.0139606\pi\) |
−0.762169 | + | 0.647378i | \(0.775865\pi\) | |||||||
\(264\) | 2.54569 | − | 4.40927i | 0.156677 | − | 0.271372i | ||||
\(265\) | 5.25019 | + | 9.09360i | 0.322517 | + | 0.558615i | ||||
\(266\) | −0.399213 | + | 0.500597i | −0.0244773 | + | 0.0306936i | ||||
\(267\) | 18.6104 | + | 12.6884i | 1.13894 | + | 0.776516i | ||||
\(268\) | 9.84377 | − | 1.48371i | 0.601304 | − | 0.0906320i | ||||
\(269\) | 14.6368 | − | 7.04870i | 0.892420 | − | 0.429767i | 0.0692746 | − | 0.997598i | \(-0.477932\pi\) |
0.823145 | + | 0.567831i | \(0.192217\pi\) | |||||||
\(270\) | 4.09870 | + | 3.80304i | 0.249439 | + | 0.231446i | ||||
\(271\) | −16.9802 | − | 2.55936i | −1.03147 | − | 0.155470i | −0.388573 | − | 0.921418i | \(-0.627032\pi\) |
−0.642902 | + | 0.765948i | \(0.722270\pi\) | |||||||
\(272\) | 5.70605 | − | 1.76008i | 0.345980 | − | 0.106721i | ||||
\(273\) | −1.21324 | − | 16.1895i | −0.0734285 | − | 0.979835i | ||||
\(274\) | 4.21755 | + | 5.28864i | 0.254791 | + | 0.319498i | ||||
\(275\) | −1.44416 | + | 3.67967i | −0.0870863 | + | 0.221892i | ||||
\(276\) | 2.83184 | − | 2.62756i | 0.170457 | − | 0.158161i | ||||
\(277\) | −13.6440 | + | 9.30229i | −0.819786 | + | 0.558921i | −0.899006 | − | 0.437937i | \(-0.855709\pi\) |
0.0792200 | + | 0.996857i | \(0.474757\pi\) | |||||||
\(278\) | −0.744542 | + | 9.93522i | −0.0446546 | + | 0.595875i | ||||
\(279\) | −2.30569 | − | 10.1019i | −0.138038 | − | 0.604784i | ||||
\(280\) | −0.565063 | − | 2.47570i | −0.0337690 | − | 0.147952i | ||||
\(281\) | −1.54604 | + | 20.6305i | −0.0922293 | + | 1.23071i | 0.738583 | + | 0.674162i | \(0.235495\pi\) |
−0.830813 | + | 0.556552i | \(0.812124\pi\) | |||||||
\(282\) | −7.75091 | + | 5.28448i | −0.461560 | + | 0.314686i | ||||
\(283\) | −3.56388 | + | 3.30680i | −0.211851 | + | 0.196569i | −0.778960 | − | 0.627074i | \(-0.784252\pi\) |
0.567109 | + | 0.823643i | \(0.308062\pi\) | |||||||
\(284\) | 2.84126 | − | 7.23941i | 0.168598 | − | 0.429580i | ||||
\(285\) | 0.202487 | + | 0.253910i | 0.0119943 | + | 0.0150404i | ||||
\(286\) | −1.46629 | − | 19.5662i | −0.0867034 | − | 1.15698i | ||||
\(287\) | 0.519715 | − | 0.160311i | 0.0306778 | − | 0.00946284i | ||||
\(288\) | −1.32606 | − | 0.199871i | −0.0781387 | − | 0.0117775i | ||||
\(289\) | −13.6764 | − | 12.6899i | −0.804496 | − | 0.746463i | ||||
\(290\) | −7.08907 | + | 3.41392i | −0.416285 | + | 0.200472i | ||||
\(291\) | −12.9037 | + | 1.94492i | −0.756430 | + | 0.114013i | ||||
\(292\) | 7.30952 | + | 4.98355i | 0.427757 | + | 0.291640i | ||||
\(293\) | 15.2415 | − | 19.1123i | 0.890419 | − | 1.11655i | −0.102139 | − | 0.994770i | \(-0.532568\pi\) |
0.992557 | − | 0.121779i | \(-0.0388601\pi\) | |||||||
\(294\) | 0.355229 | + | 0.615275i | 0.0207174 | + | 0.0358836i | ||||
\(295\) | −1.84922 | + | 3.20294i | −0.107666 | + | 0.186482i | ||||
\(296\) | 2.97310 | + | 7.57535i | 0.172808 | + | 0.440308i | ||||
\(297\) | 19.9131 | + | 9.58966i | 1.15548 | + | 0.556448i | ||||
\(298\) | −0.0857837 | − | 0.0264608i | −0.00496932 | − | 0.00153283i | ||||
\(299\) | 3.31277 | − | 14.5142i | 0.191583 | − | 0.839378i | ||||
\(300\) | −1.28801 | −0.0743632 | ||||||||
\(301\) | 14.5526 | − | 8.09335i | 0.838800 | − | 0.466493i | ||||
\(302\) | 1.84176 | 0.105981 | ||||||||
\(303\) | −2.99434 | + | 13.1190i | −0.172020 | + | 0.753669i | ||||
\(304\) | −0.240942 | − | 0.0743208i | −0.0138190 | − | 0.00426259i | ||||
\(305\) | −11.7899 | − | 5.67774i | −0.675090 | − | 0.325106i | ||||
\(306\) | 2.92557 | + | 7.45423i | 0.167244 | + | 0.426130i | ||||
\(307\) | 8.98964 | − | 15.5705i | 0.513066 | − | 0.888656i | −0.486819 | − | 0.873503i | \(-0.661843\pi\) |
0.999885 | − | 0.0151536i | \(-0.00482372\pi\) | |||||||
\(308\) | −5.01896 | − | 8.69310i | −0.285982 | − | 0.495335i | ||||
\(309\) | 14.3541 | − | 17.9995i | 0.816578 | − | 1.02396i | ||||
\(310\) | 6.38403 | + | 4.35256i | 0.362589 | + | 0.247209i | ||||
\(311\) | 20.6902 | − | 3.11855i | 1.17324 | − | 0.176837i | 0.466636 | − | 0.884450i | \(-0.345466\pi\) |
0.706600 | + | 0.707613i | \(0.250228\pi\) | |||||||
\(312\) | 5.76015 | − | 2.77394i | 0.326104 | − | 0.157044i | ||||
\(313\) | 18.8680 | + | 17.5069i | 1.06648 | + | 0.989551i | 0.999966 | − | 0.00823452i | \(-0.00262116\pi\) |
0.0665161 | + | 0.997785i | \(0.478812\pi\) | |||||||
\(314\) | −6.72329 | − | 1.01337i | −0.379417 | − | 0.0571880i | ||||
\(315\) | 3.25410 | − | 1.00376i | 0.183348 | − | 0.0565552i | ||||
\(316\) | −0.424085 | − | 5.65902i | −0.0238566 | − | 0.318345i | ||||
\(317\) | −14.1374 | − | 17.7278i | −0.794037 | − | 0.995691i | −0.999854 | − | 0.0171007i | \(-0.994556\pi\) |
0.205816 | − | 0.978591i | \(-0.434015\pi\) | |||||||
\(318\) | −4.94108 | + | 12.5897i | −0.277082 | + | 0.705994i | ||||
\(319\) | −22.7999 | + | 21.1552i | −1.27655 | + | 1.18446i | ||||
\(320\) | 0.826239 | − | 0.563320i | 0.0461882 | − | 0.0314905i | ||||
\(321\) | 0.0627913 | − | 0.837892i | 0.00350467 | − | 0.0467666i | ||||
\(322\) | −1.69477 | − | 7.42529i | −0.0944461 | − | 0.413795i | ||||
\(323\) | 0.335036 | + | 1.46789i | 0.0186419 | + | 0.0816754i | ||||
\(324\) | −0.237531 | + | 3.16963i | −0.0131962 | + | 0.176090i | ||||
\(325\) | −4.10120 | + | 2.79615i | −0.227494 | + | 0.155103i | ||||
\(326\) | −9.11465 | + | 8.45716i | −0.504814 | + | 0.468399i | ||||
\(327\) | 1.03378 | − | 2.63402i | 0.0571679 | − | 0.145661i | ||||
\(328\) | 0.133538 | + | 0.167451i | 0.00737339 | + | 0.00924594i | ||||
\(329\) | 1.38213 | + | 18.4433i | 0.0761995 | + | 1.01681i | ||||
\(330\) | −4.86519 | + | 1.50071i | −0.267820 | + | 0.0826116i | ||||
\(331\) | −16.9544 | − | 2.55546i | −0.931897 | − | 0.140461i | −0.334490 | − | 0.942399i | \(-0.608564\pi\) |
−0.597407 | + | 0.801938i | \(0.703802\pi\) | |||||||
\(332\) | −2.04450 | − | 1.89702i | −0.112206 | − | 0.104112i | ||||
\(333\) | −9.83245 | + | 4.73506i | −0.538815 | + | 0.259480i | ||||
\(334\) | −20.0196 | + | 3.01747i | −1.09543 | + | 0.165109i | ||||
\(335\) | −8.22517 | − | 5.60783i | −0.449389 | − | 0.306388i | ||||
\(336\) | 2.03927 | − | 2.55716i | 0.111251 | − | 0.139504i | ||||
\(337\) | 11.3043 | + | 19.5796i | 0.615784 | + | 1.06657i | 0.990246 | + | 0.139327i | \(0.0444940\pi\) |
−0.374462 | + | 0.927242i | \(0.622173\pi\) | |||||||
\(338\) | 5.81917 | − | 10.0791i | 0.316521 | − | 0.548231i | ||||
\(339\) | 5.51985 | + | 14.0644i | 0.299797 | + | 0.763871i | ||||
\(340\) | −5.37999 | − | 2.59087i | −0.291771 | − | 0.140509i | ||||
\(341\) | 29.1858 | + | 9.00262i | 1.58050 | + | 0.487519i | ||||
\(342\) | 0.0752419 | − | 0.329656i | 0.00406862 | − | 0.0178258i | ||||
\(343\) | 19.1763 | 1.03542 | ||||||||
\(344\) | 5.06053 | + | 4.17026i | 0.272845 | + | 0.224845i | ||||
\(345\) | −3.86308 | −0.207981 | ||||||||
\(346\) | 0.301998 | − | 1.32314i | 0.0162355 | − | 0.0711324i | ||||
\(347\) | 12.7132 | + | 3.92149i | 0.682478 | + | 0.210517i | 0.616559 | − | 0.787308i | \(-0.288526\pi\) |
0.0659185 | + | 0.997825i | \(0.479002\pi\) | |||||||
\(348\) | −9.13078 | − | 4.39715i | −0.489461 | − | 0.235712i | ||||
\(349\) | −0.000881644 | − | 0.00224639i | −4.71933e−5 | − | 0.000120247i | 0.930850 | − | 0.365401i | \(-0.119068\pi\) |
−0.930897 | + | 0.365281i | \(0.880973\pi\) | |||||||
\(350\) | −1.26969 | + | 2.19916i | −0.0678675 | + | 0.117550i | ||||
\(351\) | 13.8767 | + | 24.0352i | 0.740686 | + | 1.28291i | ||||
\(352\) | 2.46460 | − | 3.09052i | 0.131364 | − | 0.164725i | ||||
\(353\) | 2.86901 | + | 1.95606i | 0.152702 | + | 0.104110i | 0.637261 | − | 0.770648i | \(-0.280067\pi\) |
−0.484559 | + | 0.874759i | \(0.661020\pi\) | |||||||
\(354\) | −4.71041 | + | 0.709980i | −0.250356 | + | 0.0377350i | ||||
\(355\) | −7.00684 | + | 3.37432i | −0.371884 | + | 0.179090i | ||||
\(356\) | 12.8194 | + | 11.8946i | 0.679426 | + | 0.630415i | ||||
\(357\) | −19.3125 | − | 2.91089i | −1.02213 | − | 0.154061i | ||||
\(358\) | −3.82386 | + | 1.17950i | −0.202097 | + | 0.0623387i | ||||
\(359\) | −0.0556742 | − | 0.742920i | −0.00293837 | − | 0.0392098i | 0.995542 | − | 0.0943206i | \(-0.0300679\pi\) |
−0.998480 | + | 0.0551107i | \(0.982449\pi\) | |||||||
\(360\) | 0.836122 | + | 1.04846i | 0.0440675 | + | 0.0552589i | ||||
\(361\) | −6.91825 | + | 17.6274i | −0.364119 | + | 0.927759i | ||||
\(362\) | −8.51073 | + | 7.89680i | −0.447314 | + | 0.415047i | ||||
\(363\) | −4.92253 | + | 3.35613i | −0.258366 | + | 0.176151i | ||||
\(364\) | 0.941949 | − | 12.5694i | 0.0493715 | − | 0.658818i | ||||
\(365\) | −1.96859 | − | 8.62493i | −0.103040 | − | 0.451450i | ||||
\(366\) | −3.75052 | − | 16.4321i | −0.196043 | − | 0.858920i | ||||
\(367\) | −1.11742 | + | 14.9110i | −0.0583289 | + | 0.778346i | 0.888964 | + | 0.457977i | \(0.151426\pi\) |
−0.947293 | + | 0.320369i | \(0.896193\pi\) | |||||||
\(368\) | 2.47811 | − | 1.68955i | 0.129180 | − | 0.0880737i | ||||
\(369\) | −0.210547 | + | 0.195359i | −0.0109607 | + | 0.0101700i | ||||
\(370\) | 2.97310 | − | 7.57535i | 0.154564 | − | 0.393824i | ||||
\(371\) | 16.6250 | + | 20.8470i | 0.863125 | + | 1.08232i | ||||
\(372\) | 0.743710 | + | 9.92412i | 0.0385596 | + | 0.514542i | ||||
\(373\) | 22.9650 | − | 7.08378i | 1.18909 | − | 0.366784i | 0.363787 | − | 0.931482i | \(-0.381483\pi\) |
0.825298 | + | 0.564698i | \(0.191007\pi\) | |||||||
\(374\) | −23.3406 | − | 3.51802i | −1.20691 | − | 0.181913i | ||||
\(375\) | 0.944177 | + | 0.876068i | 0.0487571 | + | 0.0452399i | ||||
\(376\) | −6.56203 | + | 3.16011i | −0.338411 | + | 0.162970i | ||||
\(377\) | −38.6196 | + | 5.82096i | −1.98901 | + | 0.299795i | ||||
\(378\) | 11.7312 | + | 7.99822i | 0.603389 | + | 0.411384i | ||||
\(379\) | 17.2058 | − | 21.5753i | 0.883801 | − | 1.10825i | −0.109648 | − | 0.993971i | \(-0.534972\pi\) |
0.993449 | − | 0.114281i | \(-0.0364563\pi\) | |||||||
\(380\) | 0.126072 | + | 0.218363i | 0.00646736 | + | 0.0112018i | ||||
\(381\) | 11.3458 | − | 19.6514i | 0.581260 | − | 1.00677i | ||||
\(382\) | 1.45332 | + | 3.70300i | 0.0743583 | + | 0.189462i | ||||
\(383\) | −13.4831 | − | 6.49314i | −0.688957 | − | 0.331784i | 0.0564394 | − | 0.998406i | \(-0.482025\pi\) |
−0.745396 | + | 0.666622i | \(0.767740\pi\) | |||||||
\(384\) | 1.23079 | + | 0.379647i | 0.0628082 | + | 0.0193738i | ||||
\(385\) | −2.23365 | + | 9.78625i | −0.113837 | + | 0.498754i | ||||
\(386\) | 19.4447 | 0.989708 | ||||||||
\(387\) | −5.06968 | + | 7.18530i | −0.257706 | + | 0.365249i | ||||
\(388\) | −10.1315 | −0.514350 | ||||||||
\(389\) | −7.74993 | + | 33.9547i | −0.392937 | + | 1.72157i | 0.261281 | + | 0.965263i | \(0.415855\pi\) |
−0.654218 | + | 0.756306i | \(0.727002\pi\) | |||||||
\(390\) | −6.10925 | − | 1.88445i | −0.309354 | − | 0.0954231i | ||||
\(391\) | −16.1360 | − | 7.77069i | −0.816033 | − | 0.392981i | ||||
\(392\) | 0.201520 | + | 0.513465i | 0.0101783 | + | 0.0259339i | ||||
\(393\) | −12.8947 | + | 22.3343i | −0.650452 | + | 1.12662i | ||||
\(394\) | −3.09638 | − | 5.36309i | −0.155994 | − | 0.270189i | ||||
\(395\) | −3.53824 | + | 4.43681i | −0.178028 | + | 0.223240i | ||||
\(396\) | 4.37990 | + | 2.98616i | 0.220098 | + | 0.150060i | ||||
\(397\) | −36.5806 | + | 5.51364i | −1.83593 | + | 0.276721i | −0.973370 | − | 0.229239i | \(-0.926376\pi\) |
−0.862557 | + | 0.505960i | \(0.831138\pi\) | |||||||
\(398\) | 9.01339 | − | 4.34062i | 0.451800 | − | 0.217576i | ||||
\(399\) | 0.604544 | + | 0.560935i | 0.0302651 | + | 0.0280819i | ||||
\(400\) | −0.988831 | − | 0.149042i | −0.0494415 | − | 0.00745211i | ||||
\(401\) | −31.0177 | + | 9.56770i | −1.54895 | + | 0.477788i | −0.947132 | − | 0.320844i | \(-0.896034\pi\) |
−0.601820 | + | 0.798632i | \(0.705557\pi\) | |||||||
\(402\) | −0.958194 | − | 12.7862i | −0.0477904 | − | 0.637718i | ||||
\(403\) | 23.9125 | + | 29.9853i | 1.19117 | + | 1.49367i | ||||
\(404\) | −3.81689 | + | 9.72527i | −0.189897 | + | 0.483851i | ||||
\(405\) | 2.33002 | − | 2.16194i | 0.115779 | − | 0.107428i | ||||
\(406\) | −16.5086 | + | 11.2554i | −0.819310 | + | 0.558596i | ||||
\(407\) | 2.40395 | − | 32.0785i | 0.119159 | − | 1.59007i | ||||
\(408\) | −1.71144 | − | 7.49829i | −0.0847287 | − | 0.371221i | ||||
\(409\) | 1.63446 | + | 7.16102i | 0.0808187 | + | 0.354090i | 0.999127 | − | 0.0417762i | \(-0.0133017\pi\) |
−0.918308 | + | 0.395866i | \(0.870445\pi\) | |||||||
\(410\) | 0.0160055 | − | 0.213579i | 0.000790457 | − | 0.0105479i | ||||
\(411\) | 7.19871 | − | 4.90800i | 0.355086 | − | 0.242094i | ||||
\(412\) | 13.1028 | − | 12.1576i | 0.645528 | − | 0.598962i | ||||
\(413\) | −3.43117 | + | 8.74249i | −0.168837 | + | 0.430190i | ||||
\(414\) | 2.50775 | + | 3.14462i | 0.123249 | + | 0.154550i | ||||
\(415\) | 0.208424 | + | 2.78122i | 0.0102311 | + | 0.136525i | ||||
\(416\) | 4.74318 | − | 1.46308i | 0.232553 | − | 0.0717333i | ||||
\(417\) | 12.6892 | + | 1.91259i | 0.621392 | + | 0.0936598i | ||||
\(418\) | 0.730636 | + | 0.677931i | 0.0357366 | + | 0.0331587i | ||||
\(419\) | 16.3756 | − | 7.88606i | 0.799999 | − | 0.385259i | 0.0112207 | − | 0.999937i | \(-0.496428\pi\) |
0.788778 | + | 0.614678i | \(0.210714\pi\) | |||||||
\(420\) | −3.23420 | + | 0.487477i | −0.157813 | + | 0.0237864i | ||||
\(421\) | 2.91807 | + | 1.98950i | 0.142218 | + | 0.0969625i | 0.632339 | − | 0.774692i | \(-0.282095\pi\) |
−0.490121 | + | 0.871654i | \(0.663047\pi\) | |||||||
\(422\) | −7.73035 | + | 9.69355i | −0.376308 | + | 0.471875i | ||||
\(423\) | −4.88359 | − | 8.45862i | −0.237448 | − | 0.411272i | ||||
\(424\) | −5.25019 | + | 9.09360i | −0.254972 | + | 0.441624i | ||||
\(425\) | 2.18157 | + | 5.55856i | 0.105822 | + | 0.269630i | ||||
\(426\) | −9.02487 | − | 4.34615i | −0.437256 | − | 0.210571i | ||||
\(427\) | −31.7535 | − | 9.79467i | −1.53666 | − | 0.473997i | ||||
\(428\) | 0.145163 | − | 0.636002i | 0.00701673 | − | 0.0307423i | ||||
\(429\) | −25.2721 | −1.22015 | ||||||||
\(430\) | −0.873134 | − | 6.49905i | −0.0421063 | − | 0.313412i | ||||
\(431\) | −4.34686 | −0.209381 | −0.104691 | − | 0.994505i | \(-0.533385\pi\) | ||||
−0.104691 | + | 0.994505i | \(0.533385\pi\) | |||||||
\(432\) | −1.24418 | + | 5.45110i | −0.0598606 | + | 0.262266i | ||||
\(433\) | −1.49188 | − | 0.460185i | −0.0716953 | − | 0.0221151i | 0.258700 | − | 0.965958i | \(-0.416706\pi\) |
−0.330395 | + | 0.943843i | \(0.607182\pi\) | |||||||
\(434\) | 17.6777 | + | 8.51313i | 0.848556 | + | 0.408643i | ||||
\(435\) | 3.70251 | + | 9.43385i | 0.177522 | + | 0.452319i | ||||
\(436\) | 1.09845 | − | 1.90257i | 0.0526061 | − | 0.0911164i | ||||
\(437\) | 0.378124 | + | 0.654929i | 0.0180881 | + | 0.0313295i | ||||
\(438\) | 7.10446 | − | 8.90871i | 0.339464 | − | 0.425675i | ||||
\(439\) | 15.5984 | + | 10.6348i | 0.744469 | + | 0.507571i | 0.875149 | − | 0.483854i | \(-0.160763\pi\) |
−0.130679 | + | 0.991425i | \(0.541716\pi\) | |||||||
\(440\) | −3.90877 | + | 0.589152i | −0.186343 | + | 0.0280867i | ||||
\(441\) | −0.666454 | + | 0.320947i | −0.0317359 | + | 0.0152832i | ||||
\(442\) | −21.7276 | − | 20.1603i | −1.03348 | − | 0.958926i | ||||
\(443\) | 13.6494 | + | 2.05732i | 0.648505 | + | 0.0977464i | 0.465054 | − | 0.885282i | \(-0.346035\pi\) |
0.183451 | + | 0.983029i | \(0.441273\pi\) | |||||||
\(444\) | 10.0160 | − | 3.08953i | 0.475338 | − | 0.146622i | ||||
\(445\) | −1.30686 | − | 17.4388i | −0.0619509 | − | 0.826677i | ||||
\(446\) | 1.96876 | + | 2.46875i | 0.0932236 | + | 0.116899i | ||||
\(447\) | −0.0422433 | + | 0.107634i | −0.00199804 | + | 0.00509092i | ||||
\(448\) | 1.86149 | − | 1.72721i | 0.0879472 | − | 0.0816030i | ||||
\(449\) | 3.74989 | − | 2.55663i | 0.176968 | − | 0.120655i | −0.471596 | − | 0.881815i | \(-0.656322\pi\) |
0.648565 | + | 0.761160i | \(0.275370\pi\) | |||||||
\(450\) | 0.100216 | − | 1.33729i | 0.00472421 | − | 0.0630403i | ||||
\(451\) | −0.188392 | − | 0.825401i | −0.00887106 | − | 0.0388666i | ||||
\(452\) | 2.61025 | + | 11.4362i | 0.122776 | + | 0.537915i | ||||
\(453\) | 0.177275 | − | 2.36556i | 0.00832908 | − | 0.111144i | ||||
\(454\) | 17.5924 | − | 11.9943i | 0.825652 | − | 0.562920i | ||||
\(455\) | −9.23989 | + | 8.57336i | −0.433173 | + | 0.401925i | ||||
\(456\) | −0.118649 | + | 0.302314i | −0.00555627 | + | 0.0141571i | ||||
\(457\) | −15.4559 | − | 19.3811i | −0.722998 | − | 0.906611i | 0.275505 | − | 0.961300i | \(-0.411155\pi\) |
−0.998503 | + | 0.0546885i | \(0.982583\pi\) | |||||||
\(458\) | 0.942808 | + | 12.5809i | 0.0440545 | + | 0.587867i | ||||
\(459\) | 31.9041 | − | 9.84113i | 1.48916 | − | 0.459344i | ||||
\(460\) | −2.96577 | − | 0.447017i | −0.138280 | − | 0.0208423i | ||||
\(461\) | −13.8600 | − | 12.8602i | −0.645526 | − | 0.598961i | 0.287930 | − | 0.957651i | \(-0.407033\pi\) |
−0.933457 | + | 0.358690i | \(0.883223\pi\) | |||||||
\(462\) | −11.6486 | + | 5.60965i | −0.541940 | + | 0.260985i | ||||
\(463\) | 27.4144 | − | 4.13205i | 1.27405 | − | 0.192033i | 0.523034 | − | 0.852312i | \(-0.324800\pi\) |
0.751021 | + | 0.660279i | \(0.229562\pi\) | |||||||
\(464\) | −6.50108 | − | 4.43236i | −0.301805 | − | 0.205767i | ||||
\(465\) | 6.20494 | − | 7.78074i | 0.287747 | − | 0.360823i | ||||
\(466\) | 5.45651 | + | 9.45095i | 0.252768 | + | 0.437807i | ||||
\(467\) | −6.68807 | + | 11.5841i | −0.309487 | + | 0.536047i | −0.978250 | − | 0.207428i | \(-0.933491\pi\) |
0.668763 | + | 0.743476i | \(0.266824\pi\) | |||||||
\(468\) | 2.43189 | + | 6.19636i | 0.112414 | + | 0.286427i | ||||
\(469\) | −22.7759 | − | 10.9683i | −1.05169 | − | 0.506469i | ||||
\(470\) | 6.95973 | + | 2.14679i | 0.321028 | + | 0.0990241i | ||||
\(471\) | −1.94872 | + | 8.53790i | −0.0897922 | + | 0.393406i | ||||
\(472\) | −3.69844 | −0.170234 | ||||||||
\(473\) | −10.8704 | − | 23.5315i | −0.499822 | − | 1.08198i | ||||
\(474\) | −7.30930 | −0.335727 | ||||||||
\(475\) | 0.0561073 | − | 0.245822i | 0.00257438 | − | 0.0112791i | ||||
\(476\) | −14.4898 | − | 4.46950i | −0.664137 | − | 0.204859i | ||||
\(477\) | −12.6869 | − | 6.10968i | −0.580893 | − | 0.279743i | ||||
\(478\) | 7.06722 | + | 18.0070i | 0.323247 | + | 0.823621i | ||||
\(479\) | −9.90767 | + | 17.1606i | −0.452693 | + | 0.784087i | −0.998552 | − | 0.0537898i | \(-0.982870\pi\) |
0.545859 | + | 0.837877i | \(0.316203\pi\) | |||||||
\(480\) | −0.644004 | − | 1.11545i | −0.0293946 | − | 0.0509130i | ||||
\(481\) | 25.1853 | − | 31.5814i | 1.14835 | − | 1.43999i | ||||
\(482\) | −16.7379 | − | 11.4117i | −0.762391 | − | 0.519789i | ||||
\(483\) | −9.70022 | + | 1.46207i | −0.441375 | + | 0.0665266i | ||||
\(484\) | −4.16749 | + | 2.00696i | −0.189431 | + | 0.0912253i | ||||
\(485\) | 7.42693 | + | 6.89118i | 0.337239 | + | 0.312913i | ||||
\(486\) | −12.5383 | − | 1.88984i | −0.568748 | − | 0.0857250i | ||||
\(487\) | −23.1273 | + | 7.13383i | −1.04800 | + | 0.323265i | −0.770486 | − | 0.637457i | \(-0.779986\pi\) |
−0.277513 | + | 0.960722i | \(0.589510\pi\) | |||||||
\(488\) | −0.977907 | − | 13.0493i | −0.0442678 | − | 0.590712i | ||||
\(489\) | 9.98512 | + | 12.5209i | 0.451543 | + | 0.566216i | ||||
\(490\) | 0.201520 | − | 0.513465i | 0.00910375 | − | 0.0231960i | ||||
\(491\) | −24.9740 | + | 23.1725i | −1.12706 | + | 1.04576i | −0.128524 | + | 0.991706i | \(0.541024\pi\) |
−0.998538 | + | 0.0540544i | \(0.982786\pi\) | |||||||
\(492\) | 0.227929 | − | 0.155399i | 0.0102758 | − | 0.00700593i | ||||
\(493\) | −3.51113 | + | 46.8527i | −0.158133 | + | 2.11014i | ||||
\(494\) | 0.278500 | + | 1.22019i | 0.0125303 | + | 0.0548989i | ||||
\(495\) | −1.17958 | − | 5.16810i | −0.0530184 | − | 0.232289i | ||||
\(496\) | −0.577411 | + | 7.70501i | −0.0259265 | + | 0.345965i | ||||
\(497\) | −16.3171 | + | 11.1248i | −0.731924 | + | 0.499017i | ||||
\(498\) | −2.63333 | + | 2.44337i | −0.118002 | + | 0.109490i | ||||
\(499\) | −1.08560 | + | 2.76606i | −0.0485981 | + | 0.123826i | −0.953112 | − | 0.302619i | \(-0.902139\pi\) |
0.904513 | + | 0.426445i | \(0.140234\pi\) | |||||||
\(500\) | 0.623490 | + | 0.781831i | 0.0278833 | + | 0.0349646i | ||||
\(501\) | 1.94871 | + | 26.0038i | 0.0870621 | + | 1.16176i | ||||
\(502\) | −7.99836 | + | 2.46717i | −0.356984 | + | 0.110115i | ||||
\(503\) | 0.0341149 | + | 0.00514200i | 0.00152111 | + | 0.000229270i | 0.149803 | − | 0.988716i | \(-0.452136\pi\) |
−0.148282 | + | 0.988945i | \(0.547374\pi\) | |||||||
\(504\) | 2.49633 | + | 2.31625i | 0.111195 | + | 0.103174i | ||||
\(505\) | 9.41284 | − | 4.53299i | 0.418866 | − | 0.201715i | ||||
\(506\) | −11.7234 | + | 1.76702i | −0.521170 | + | 0.0785538i | ||||
\(507\) | −12.3855 | − | 8.44432i | −0.550062 | − | 0.375026i | ||||
\(508\) | 10.9843 | − | 13.7739i | 0.487351 | − | 0.611119i | ||||
\(509\) | 14.4289 | + | 24.9916i | 0.639550 | + | 1.10773i | 0.985532 | + | 0.169491i | \(0.0542125\pi\) |
−0.345982 | + | 0.938241i | \(0.612454\pi\) | |||||||
\(510\) | −3.84556 | + | 6.66071i | −0.170284 | + | 0.294941i | ||||
\(511\) | −8.20744 | − | 20.9122i | −0.363076 | − | 0.925102i | ||||
\(512\) | 0.900969 | + | 0.433884i | 0.0398176 | + | 0.0191751i | ||||
\(513\) | −1.34718 | − | 0.415549i | −0.0594793 | − | 0.0183469i | ||||
\(514\) | 0.276643 | − | 1.21205i | 0.0122022 | − | 0.0534614i | ||||
\(515\) | −17.8743 | −0.787636 | ||||||||
\(516\) | 5.84340 | − | 6.09838i | 0.257241 | − | 0.268466i | ||||
\(517\) | 28.7903 | 1.26620 | ||||||||
\(518\) | 4.59842 | − | 20.1470i | 0.202043 | − | 0.885209i | ||||
\(519\) | −1.67038 | − | 0.515244i | −0.0733215 | − | 0.0226167i | ||||
\(520\) | −4.47214 | − | 2.15367i | −0.196116 | − | 0.0944447i | ||||
\(521\) | 11.2660 | + | 28.7054i | 0.493574 | + | 1.25761i | 0.933178 | + | 0.359414i | \(0.117023\pi\) |
−0.439605 | + | 0.898191i | \(0.644881\pi\) | |||||||
\(522\) | 5.27582 | − | 9.13799i | 0.230916 | − | 0.399959i | ||||
\(523\) | −9.29966 | − | 16.1075i | −0.406646 | − | 0.704331i | 0.587866 | − | 0.808959i | \(-0.299968\pi\) |
−0.994511 | + | 0.104627i | \(0.966635\pi\) | |||||||
\(524\) | −12.4840 | + | 15.6544i | −0.545364 | + | 0.683865i | ||||
\(525\) | 2.70240 | + | 1.84247i | 0.117943 | + | 0.0804119i | ||||
\(526\) | 10.3971 | − | 1.56711i | 0.453334 | − | 0.0683291i | ||||
\(527\) | 41.5691 | − | 20.0186i | 1.81078 | − | 0.872025i | ||||
\(528\) | −3.73225 | − | 3.46302i | −0.162425 | − | 0.150709i | ||||
\(529\) | 13.8480 | + | 2.08725i | 0.602086 | + | 0.0907499i | ||||
\(530\) | 10.0339 | − | 3.09504i | 0.435844 | − | 0.134440i | ||||
\(531\) | −0.370642 | − | 4.94587i | −0.0160845 | − | 0.214632i | ||||
\(532\) | 0.399213 | + | 0.500597i | 0.0173081 | + | 0.0217036i | ||||
\(533\) | 0.388400 | − | 0.989627i | 0.0168235 | − | 0.0428655i | ||||
\(534\) | 16.5115 | − | 15.3204i | 0.714521 | − | 0.662978i | ||||
\(535\) | −0.539003 | + | 0.367486i | −0.0233031 | + | 0.0158878i | ||||
\(536\) | 0.743935 | − | 9.92712i | 0.0321331 | − | 0.428786i | ||||
\(537\) | 1.14690 | + | 5.02492i | 0.0494926 | + | 0.216841i | ||||
\(538\) | −3.61498 | − | 15.8383i | −0.155853 | − | 0.682837i | ||||
\(539\) | 0.162942 | − | 2.17431i | 0.00701841 | − | 0.0936542i | ||||
\(540\) | 4.61974 | − | 3.14968i | 0.198802 | − | 0.135541i | ||||
\(541\) | 17.9310 | − | 16.6376i | 0.770916 | − | 0.715305i | −0.193092 | − | 0.981181i | \(-0.561851\pi\) |
0.964007 | + | 0.265875i | \(0.0856610\pi\) | |||||||
\(542\) | −6.27364 | + | 15.9850i | −0.269476 | + | 0.686614i | ||||
\(543\) | 9.32352 | + | 11.6913i | 0.400110 | + | 0.501723i | ||||
\(544\) | −0.446238 | − | 5.95464i | −0.0191323 | − | 0.255303i | ||||
\(545\) | −2.09929 | + | 0.647546i | −0.0899238 | + | 0.0277378i | ||||
\(546\) | −16.0536 | − | 2.41969i | −0.687031 | − | 0.103553i | ||||
\(547\) | −7.18708 | − | 6.66864i | −0.307297 | − | 0.285130i | 0.511415 | − | 0.859334i | \(-0.329121\pi\) |
−0.818713 | + | 0.574203i | \(0.805312\pi\) | |||||||
\(548\) | 6.09453 | − | 2.93497i | 0.260345 | − | 0.125376i | ||||
\(549\) | 17.3526 | − | 2.61548i | 0.740591 | − | 0.111626i | ||||
\(550\) | 3.26605 | + | 2.22676i | 0.139265 | + | 0.0949493i | ||||
\(551\) | 1.23697 | − | 1.55111i | 0.0526965 | − | 0.0660793i | ||||
\(552\) | −1.93154 | − | 3.34552i | −0.0822118 | − | 0.142395i | ||||
\(553\) | −7.20533 | + | 12.4800i | −0.306402 | + | 0.530703i | ||||
\(554\) | 6.03300 | + | 15.3718i | 0.256318 | + | 0.653086i | ||||
\(555\) | −9.44365 | − | 4.54782i | −0.400861 | − | 0.193044i | ||||
\(556\) | 9.52044 | + | 2.93667i | 0.403757 | + | 0.124542i | ||||
\(557\) | −2.73195 | + | 11.9694i | −0.115756 | + | 0.507162i | 0.883494 | + | 0.468443i | \(0.155185\pi\) |
−0.999250 | + | 0.0387188i | \(0.987672\pi\) | |||||||
\(558\) | −10.3617 | −0.438645 | ||||||||
\(559\) | 5.36718 | − | 32.1036i | 0.227007 | − | 1.35784i | ||||
\(560\) | −2.53937 | −0.107308 | ||||||||
\(561\) | −6.76517 | + | 29.6401i | −0.285626 | + | 1.25141i | ||||
\(562\) | 19.7693 | + | 6.09801i | 0.833916 | + | 0.257229i | ||||
\(563\) | −4.68542 | − | 2.25638i | −0.197467 | − | 0.0950950i | 0.332537 | − | 0.943090i | \(-0.392095\pi\) |
−0.530004 | + | 0.847995i | \(0.677810\pi\) | |||||||
\(564\) | 3.42725 | + | 8.73248i | 0.144313 | + | 0.367704i | ||||
\(565\) | 5.86517 | − | 10.1588i | 0.246750 | − | 0.427383i | ||||
\(566\) | 2.43085 | + | 4.21036i | 0.102176 | + | 0.176975i | ||||
\(567\) | 5.03246 | − | 6.31050i | 0.211343 | − | 0.265016i | ||||
\(568\) | −6.42566 | − | 4.38094i | −0.269615 | − | 0.183820i | ||||
\(569\) | 20.7946 | − | 3.13428i | 0.871756 | − | 0.131396i | 0.302097 | − | 0.953277i | \(-0.402313\pi\) |
0.569659 | + | 0.821881i | \(0.307075\pi\) | |||||||
\(570\) | 0.292602 | − | 0.140910i | 0.0122557 | − | 0.00590205i | ||||
\(571\) | 3.22992 | + | 2.99693i | 0.135168 | + | 0.125418i | 0.744860 | − | 0.667221i | \(-0.232516\pi\) |
−0.609692 | + | 0.792639i | \(0.708707\pi\) | |||||||
\(572\) | −19.4020 | − | 2.92437i | −0.811237 | − | 0.122274i | ||||
\(573\) | 4.89604 | − | 1.51023i | 0.204535 | − | 0.0630907i | ||||
\(574\) | −0.0406440 | − | 0.542357i | −0.00169645 | − | 0.0226375i | ||||
\(575\) | 1.87001 | + | 2.34492i | 0.0779849 | + | 0.0977900i | ||||
\(576\) | −0.489935 | + | 1.24833i | −0.0204140 | + | 0.0520140i | ||||
\(577\) | 2.61472 | − | 2.42610i | 0.108852 | − | 0.101000i | −0.623869 | − | 0.781529i | \(-0.714440\pi\) |
0.732721 | + | 0.680529i | \(0.238250\pi\) | |||||||
\(578\) | −15.4150 | + | 10.5098i | −0.641180 | + | 0.437149i | ||||
\(579\) | 1.87161 | − | 24.9749i | 0.0777814 | − | 1.03792i | ||||
\(580\) | 1.75086 | + | 7.67100i | 0.0727004 | + | 0.318521i | ||||
\(581\) | 1.57597 | + | 6.90479i | 0.0653824 | + | 0.286459i | ||||
\(582\) | −0.975189 | + | 13.0130i | −0.0404229 | + | 0.539406i | ||||
\(583\) | 34.2948 | − | 23.3818i | 1.42035 | − | 0.968376i | ||||
\(584\) | 6.48512 | − | 6.01731i | 0.268356 | − | 0.248998i | ||||
\(585\) | 2.43189 | − | 6.19636i | 0.100546 | − | 0.256188i | ||||
\(586\) | −15.2415 | − | 19.1123i | −0.629621 | − | 0.789520i | ||||
\(587\) | 0.383716 | + | 5.12033i | 0.0158377 | + | 0.211339i | 0.999508 | + | 0.0313601i | \(0.00998386\pi\) |
−0.983670 | + | 0.179979i | \(0.942397\pi\) | |||||||
\(588\) | 0.678895 | − | 0.209411i | 0.0279971 | − | 0.00863598i | ||||
\(589\) | −1.92646 | − | 0.290367i | −0.0793784 | − | 0.0119644i | ||||
\(590\) | 2.71115 | + | 2.51558i | 0.111616 | + | 0.103565i | ||||
\(591\) | −7.18643 | + | 3.46080i | −0.295610 | + | 0.142358i | ||||
\(592\) | 8.04700 | − | 1.21289i | 0.330730 | − | 0.0498495i | ||||
\(593\) | −13.3883 | − | 9.12802i | −0.549793 | − | 0.374843i | 0.256331 | − | 0.966589i | \(-0.417486\pi\) |
−0.806124 | + | 0.591746i | \(0.798439\pi\) | |||||||
\(594\) | 13.7803 | − | 17.2800i | 0.565413 | − | 0.709006i | ||||
\(595\) | 7.58172 | + | 13.1319i | 0.310820 | + | 0.538356i | ||||
\(596\) | −0.0448860 | + | 0.0777448i | −0.00183860 | + | 0.00318455i | ||||
\(597\) | −4.70755 | − | 11.9946i | −0.192667 | − | 0.490908i | ||||
\(598\) | −13.4131 | − | 6.45943i | −0.548504 | − | 0.264146i | ||||
\(599\) | 5.63109 | + | 1.73696i | 0.230080 | + | 0.0709703i | 0.407651 | − | 0.913138i | \(-0.366348\pi\) |
−0.177571 | + | 0.984108i | \(0.556824\pi\) | |||||||
\(600\) | −0.286609 | + | 1.25571i | −0.0117008 | + | 0.0512643i | ||||
\(601\) | 11.6641 | 0.475787 | 0.237893 | − | 0.971291i | \(-0.423543\pi\) | ||||
0.237893 | + | 0.971291i | \(0.423543\pi\) | |||||||
\(602\) | −4.65217 | − | 15.9887i | −0.189608 | − | 0.651651i | ||||
\(603\) | 13.3500 | 0.543652 | ||||||||
\(604\) | 0.409829 | − | 1.79558i | 0.0166757 | − | 0.0730611i | ||||
\(605\) | 4.42006 | + | 1.36341i | 0.179701 | + | 0.0554304i | ||||
\(606\) | 12.1238 | + | 5.83852i | 0.492496 | + | 0.237174i | ||||
\(607\) | −17.5170 | − | 44.6325i | −0.710991 | − | 1.81158i | −0.570144 | − | 0.821545i | \(-0.693113\pi\) |
−0.140848 | − | 0.990031i | \(-0.544983\pi\) | |||||||
\(608\) | −0.126072 | + | 0.218363i | −0.00511290 | + | 0.00885580i | ||||
\(609\) | 12.8675 | + | 22.2872i | 0.521418 | + | 0.903122i | ||||
\(610\) | −8.15890 | + | 10.2309i | −0.330344 | + | 0.414238i | ||||
\(611\) | 29.8703 | + | 20.3652i | 1.20842 | + | 0.823889i | ||||
\(612\) | 7.91833 | − | 1.19350i | 0.320080 | − | 0.0482442i | ||||
\(613\) | 35.9547 | − | 17.3149i | 1.45220 | − | 0.699341i | 0.469222 | − | 0.883080i | \(-0.344535\pi\) |
0.982975 | + | 0.183739i | \(0.0588202\pi\) | |||||||
\(614\) | −13.1797 | − | 12.2290i | −0.531891 | − | 0.493523i | ||||
\(615\) | −0.272782 | − | 0.0411152i | −0.0109996 | − | 0.00165793i | ||||
\(616\) | −9.59197 | + | 2.95873i | −0.386471 | + | 0.119211i | ||||
\(617\) | −1.89666 | − | 25.3092i | −0.0763567 | − | 1.01891i | −0.895425 | − | 0.445213i | \(-0.853128\pi\) |
0.819068 | − | 0.573696i | \(-0.194491\pi\) | |||||||
\(618\) | −14.3541 | − | 17.9995i | −0.577408 | − | 0.724046i | ||||
\(619\) | 2.67426 | − | 6.81391i | 0.107488 | − | 0.273874i | −0.867003 | − | 0.498304i | \(-0.833957\pi\) |
0.974490 | + | 0.224429i | \(0.0720518\pi\) | |||||||
\(620\) | 5.66401 | − | 5.25544i | 0.227472 | − | 0.211063i | ||||
\(621\) | 13.8558 | − | 9.44674i | 0.556015 | − | 0.379085i | ||||
\(622\) | 1.56365 | − | 20.8654i | 0.0626966 | − | 0.836628i | ||||
\(623\) | −9.88164 | − | 43.2943i | −0.395900 | − | 1.73455i | ||||
\(624\) | −1.42264 | − | 6.23299i | −0.0569512 | − | 0.249519i | ||||
\(625\) | 0.0747301 | − | 0.997204i | 0.00298920 | − | 0.0398882i | ||||
\(626\) | 21.2665 | − | 14.4993i | 0.849981 | − | 0.579508i | ||||
\(627\) | 0.941065 | − | 0.873181i | 0.0375825 | − | 0.0348715i | ||||
\(628\) | −2.48404 | + | 6.32923i | −0.0991239 | + | 0.252564i | ||||
\(629\) | −30.2979 | − | 37.9924i | −1.20806 | − | 1.51486i | ||||
\(630\) | −0.254485 | − | 3.39587i | −0.0101389 | − | 0.135295i | ||||
\(631\) | −29.8948 | + | 9.22131i | −1.19009 | + | 0.367095i | −0.825678 | − | 0.564142i | \(-0.809207\pi\) |
−0.364414 | + | 0.931237i | \(0.618731\pi\) | |||||||
\(632\) | −5.61151 | − | 0.845798i | −0.223214 | − | 0.0336441i | ||||
\(633\) | 11.7064 | + | 10.8619i | 0.465287 | + | 0.431724i | ||||
\(634\) | −20.4292 | + | 9.83818i | −0.811346 | + | 0.390724i | ||||
\(635\) | −17.4207 | + | 2.62575i | −0.691321 | + | 0.104200i | ||||
\(636\) | 11.1745 | + | 7.61866i | 0.443099 | + | 0.302100i | ||||
\(637\) | 1.70709 | − | 2.14062i | 0.0676372 | − | 0.0848143i | ||||
\(638\) | 15.5513 | + | 26.9357i | 0.615683 | + | 1.06639i | ||||
\(639\) | 5.21462 | − | 9.03199i | 0.206287 | − | 0.357300i | ||||
\(640\) | −0.365341 | − | 0.930874i | −0.0144414 | − | 0.0367960i | ||||
\(641\) | −2.79271 | − | 1.34490i | −0.110305 | − | 0.0531203i | 0.377917 | − | 0.925839i | \(-0.376640\pi\) |
−0.488223 | + | 0.872719i | \(0.662355\pi\) | |||||||
\(642\) | −0.802912 | − | 0.247666i | −0.0316884 | − | 0.00977458i | ||||
\(643\) | −8.17856 | + | 35.8326i | −0.322531 | + | 1.41310i | 0.510502 | + | 0.859876i | \(0.329459\pi\) |
−0.833033 | + | 0.553223i | \(0.813398\pi\) | |||||||
\(644\) | −7.61625 | −0.300122 | ||||||||
\(645\) | −8.43146 | + | 0.495907i | −0.331988 | + | 0.0195263i | ||||
\(646\) | 1.50564 | 0.0592385 | ||||||||
\(647\) | 5.05938 | − | 22.1666i | 0.198905 | − | 0.871458i | −0.772686 | − | 0.634789i | \(-0.781087\pi\) |
0.971590 | − | 0.236669i | \(-0.0760558\pi\) | |||||||
\(648\) | 3.03730 | + | 0.936884i | 0.119317 | + | 0.0368043i | ||||
\(649\) | 13.1718 | + | 6.34322i | 0.517039 | + | 0.248993i | ||||
\(650\) | 1.81344 | + | 4.62058i | 0.0711291 | + | 0.181234i | ||||
\(651\) | 12.6358 | − | 21.8859i | 0.495238 | − | 0.857777i | ||||
\(652\) | 6.21692 | + | 10.7680i | 0.243473 | + | 0.421708i | ||||
\(653\) | 10.5008 | − | 13.1676i | 0.410927 | − | 0.515286i | −0.532697 | − | 0.846306i | \(-0.678821\pi\) |
0.943624 | + | 0.331020i | \(0.107393\pi\) | |||||||
\(654\) | −2.33794 | − | 1.59398i | −0.0914207 | − | 0.0623296i | ||||
\(655\) | 19.7991 | − | 2.98423i | 0.773614 | − | 0.116604i | ||||
\(656\) | 0.192968 | − | 0.0929284i | 0.00753412 | − | 0.00362824i | ||||
\(657\) | 8.69678 | + | 8.06943i | 0.339294 | + | 0.314818i | ||||
\(658\) | 18.2884 | + | 2.75654i | 0.712958 | + | 0.107461i | ||||
\(659\) | −22.1014 | + | 6.81737i | −0.860947 | + | 0.265567i | −0.693626 | − | 0.720335i | \(-0.743988\pi\) |
−0.167321 | + | 0.985902i | \(0.553512\pi\) | |||||||
\(660\) | 0.380480 | + | 5.07715i | 0.0148102 | + | 0.197628i | ||||
\(661\) | 20.0498 | + | 25.1416i | 0.779845 | + | 0.977895i | 0.999997 | + | 0.00242959i | \(0.000773363\pi\) |
−0.220152 | + | 0.975466i | \(0.570655\pi\) | |||||||
\(662\) | −6.26410 | + | 15.9607i | −0.243461 | + | 0.620329i | ||||
\(663\) | −27.9853 | + | 25.9666i | −1.08686 | + | 1.00846i | ||||
\(664\) | −2.30440 | + | 1.57111i | −0.0894279 | + | 0.0609709i | ||||
\(665\) | 0.0478487 | − | 0.638497i | 0.00185549 | − | 0.0247598i | ||||
\(666\) | 2.42842 | + | 10.6396i | 0.0940992 | + | 0.412275i | ||||
\(667\) | 5.25128 | + | 23.0074i | 0.203331 | + | 0.890849i | ||||
\(668\) | −1.51297 | + | 20.1892i | −0.0585385 | + | 0.781142i | ||||
\(669\) | 3.36038 | − | 2.29107i | 0.129920 | − | 0.0885777i | ||||
\(670\) | −7.29750 | + | 6.77109i | −0.281927 | + | 0.261590i | ||||
\(671\) | −18.8981 | + | 48.1516i | −0.729553 | + | 1.85887i | ||||
\(672\) | −2.03927 | − | 2.55716i | −0.0786664 | − | 0.0986446i | ||||
\(673\) | 0.272536 | + | 3.63674i | 0.0105055 | + | 0.140186i | 0.999990 | − | 0.00445234i | \(-0.00141723\pi\) |
−0.989485 | + | 0.144638i | \(0.953798\pi\) | |||||||
\(674\) | 21.6042 | − | 6.66400i | 0.832161 | − | 0.256688i | ||||
\(675\) | −5.52884 | − | 0.833338i | −0.212805 | − | 0.0320752i | ||||
\(676\) | −8.53151 | − | 7.91608i | −0.328135 | − | 0.304465i | ||||
\(677\) | −2.25797 | + | 1.08738i | −0.0867807 | + | 0.0417914i | −0.476771 | − | 0.879028i | \(-0.658193\pi\) |
0.389990 | + | 0.920819i | \(0.372478\pi\) | |||||||
\(678\) | 14.9400 | − | 2.25184i | 0.573768 | − | 0.0864816i | ||||
\(679\) | 21.2572 | + | 14.4929i | 0.815777 | + | 0.556187i | ||||
\(680\) | −3.72307 | + | 4.66858i | −0.142773 | + | 0.179032i | ||||
\(681\) | −13.7122 | − | 23.7503i | −0.525453 | − | 0.910112i | ||||
\(682\) | 15.2713 | − | 26.4507i | 0.584770 | − | 1.01285i | ||||
\(683\) | −13.1994 | − | 33.6315i | −0.505061 | − | 1.28687i | −0.925223 | − | 0.379424i | \(-0.876122\pi\) |
0.420162 | − | 0.907449i | \(-0.361973\pi\) | |||||||
\(684\) | −0.304648 | − | 0.146711i | −0.0116485 | − | 0.00560963i | ||||
\(685\) | −6.46390 | − | 1.99385i | −0.246973 | − | 0.0761810i | ||||
\(686\) | 4.26713 | − | 18.6955i | 0.162920 | − | 0.713798i | ||||
\(687\) | 16.2497 | 0.619966 | ||||||||
\(688\) | 5.19177 | − | 4.00568i | 0.197935 | − | 0.152715i | ||||
\(689\) | 52.1208 | 1.98564 | ||||||||
\(690\) | −0.859616 | + | 3.76622i | −0.0327250 | + | 0.143378i | ||||
\(691\) | 26.1724 | + | 8.07311i | 0.995644 | + | 0.307115i | 0.749418 | − | 0.662097i | \(-0.230333\pi\) |
0.246226 | + | 0.969213i | \(0.420810\pi\) | |||||||
\(692\) | −1.22276 | − | 0.588852i | −0.0464825 | − | 0.0223848i | ||||
\(693\) | −4.91793 | − | 12.5307i | −0.186817 | − | 0.476002i | ||||
\(694\) | 6.65211 | − | 11.5218i | 0.252511 | − | 0.437361i | ||||
\(695\) | −4.98154 | − | 8.62828i | −0.188960 | − | 0.327289i | ||||
\(696\) | −6.31870 | + | 7.92340i | −0.239510 | + | 0.300336i | ||||
\(697\) | −1.05670 | − | 0.720446i | −0.0400254 | − | 0.0272888i | ||||
\(698\) | −0.00238625 | 0.000359670i | −9.03210e−5 | 1.36137e-5i | ||||||
\(699\) | 12.6641 | − | 6.09869i | 0.478999 | − | 0.230674i | ||||
\(700\) | 1.86149 | + | 1.72721i | 0.0703577 | + | 0.0652824i | ||||
\(701\) | −32.5957 | − | 4.91301i | −1.23112 | − | 0.185562i | −0.498920 | − | 0.866648i | \(-0.666270\pi\) |
−0.732203 | + | 0.681086i | \(0.761508\pi\) | |||||||
\(702\) | 26.5205 | − | 8.18049i | 1.00095 | − | 0.308753i | ||||
\(703\) | 0.153340 | + | 2.04618i | 0.00578334 | + | 0.0771732i | ||||
\(704\) | −2.46460 | − | 3.09052i | −0.0928883 | − | 0.116478i | ||||
\(705\) | 3.42725 | − | 8.73248i | 0.129078 | − | 0.328884i | ||||
\(706\) | 2.54543 | − | 2.36181i | 0.0957984 | − | 0.0888879i | ||||
\(707\) | 21.9201 | − | 14.9449i | 0.824391 | − | 0.562060i | ||||
\(708\) | −0.355985 | + | 4.75030i | −0.0133788 | + | 0.178527i | ||||
\(709\) | −8.45521 | − | 37.0447i | −0.317542 | − | 1.39124i | −0.841849 | − | 0.539713i | \(-0.818533\pi\) |
0.524307 | − | 0.851529i | \(-0.324324\pi\) | |||||||
\(710\) | 1.73055 | + | 7.58202i | 0.0649463 | + | 0.284548i | ||||
\(711\) | 0.568713 | − | 7.58895i | 0.0213284 | − | 0.284608i | ||||
\(712\) | 14.4490 | − | 9.85116i | 0.541499 | − | 0.369188i | ||||
\(713\) | 16.9879 | − | 15.7624i | 0.636201 | − | 0.590308i | ||||
\(714\) | −7.13534 | + | 18.1805i | −0.267033 | + | 0.680390i | ||||
\(715\) | 12.2336 | + | 15.3404i | 0.457509 | + | 0.573698i | ||||
\(716\) | 0.299043 | + | 3.99045i | 0.0111758 | + | 0.149130i | ||||
\(717\) | 23.8085 | − | 7.34396i | 0.889146 | − | 0.274265i | ||||
\(718\) | −0.736683 | − | 0.111037i | −0.0274928 | − | 0.00414387i | ||||
\(719\) | −10.0960 | − | 9.36772i | −0.376517 | − | 0.349357i | 0.469102 | − | 0.883144i | \(-0.344578\pi\) |
−0.845619 | + | 0.533787i | \(0.820768\pi\) | |||||||
\(720\) | 1.20823 | − | 0.581854i | 0.0450281 | − | 0.0216844i | ||||
\(721\) | −44.8825 | + | 6.76495i | −1.67151 | + | 0.251940i | ||||
\(722\) | 15.6460 | + | 10.6673i | 0.582284 | + | 0.396995i | ||||
\(723\) | −16.2684 | + | 20.3999i | −0.605027 | + | 0.758679i | ||||
\(724\) | 5.80500 | + | 10.0545i | 0.215741 | + | 0.373674i | ||||
\(725\) | 3.93414 | − | 6.81413i | 0.146110 | − | 0.253070i | ||||
\(726\) | 2.17661 | + | 5.54592i | 0.0807817 | + | 0.205828i | ||||
\(727\) | −24.1163 | − | 11.6138i | −0.894424 | − | 0.430732i | −0.0705521 | − | 0.997508i | \(-0.522476\pi\) |
−0.823872 | + | 0.566776i | \(0.808190\pi\) | |||||||
\(728\) | −12.0447 | − | 3.71530i | −0.446406 | − | 0.137698i | ||||
\(729\) | −5.75603 | + | 25.2188i | −0.213186 | + | 0.934031i | ||||
\(730\) | −8.84674 | −0.327433 | ||||||||
\(731\) | −36.2156 | − | 14.8887i | −1.33948 | − | 0.550680i | ||||
\(732\) | −16.8547 | −0.622967 | ||||||||
\(733\) | 2.71750 | − | 11.9062i | 0.100373 | − | 0.439764i | −0.899622 | − | 0.436670i | \(-0.856158\pi\) |
0.999995 | − | 0.00309451i | \(-0.000985014\pi\) | |||||||
\(734\) | 14.2885 | + | 4.40741i | 0.527397 | + | 0.162680i | ||||
\(735\) | −0.640101 | − | 0.308256i | −0.0236105 | − | 0.0113702i | ||||
\(736\) | −1.09575 | − | 2.79194i | −0.0403901 | − | 0.102912i | ||||
\(737\) | −19.6756 | + | 34.0791i | −0.724759 | + | 1.25532i | ||||
\(738\) | 0.143610 | + | 0.248740i | 0.00528636 | + | 0.00915625i | ||||
\(739\) | −1.99327 | + | 2.49948i | −0.0733235 | + | 0.0919448i | −0.817140 | − | 0.576439i | \(-0.804442\pi\) |
0.743817 | + | 0.668383i | \(0.233013\pi\) | |||||||
\(740\) | −6.72384 | − | 4.58424i | −0.247173 | − | 0.168520i | ||||
\(741\) | 1.59402 | − | 0.240261i | 0.0585580 | − | 0.00882619i | ||||
\(742\) | 24.0238 | − | 11.5692i | 0.881940 | − | 0.424720i | ||||
\(743\) | 10.4881 | + | 9.73154i | 0.384771 | + | 0.357015i | 0.848716 | − | 0.528849i | \(-0.177376\pi\) |
−0.463945 | + | 0.885864i | \(0.653567\pi\) | |||||||
\(744\) | 9.84079 | + | 1.48326i | 0.360781 | + | 0.0543790i | ||||
\(745\) | 0.0857837 | − | 0.0264608i | 0.00314287 | − | 0.000969447i | ||||
\(746\) | −1.79597 | − | 23.9656i | −0.0657551 | − | 0.877441i | ||||
\(747\) | −2.33196 | − | 2.92419i | −0.0853220 | − | 0.106990i | ||||
\(748\) | −8.62358 | + | 21.9725i | −0.315309 | + | 0.803395i | ||||
\(749\) | −1.21436 | + | 1.12676i | −0.0443717 | + | 0.0411709i | ||||
\(750\) | 1.06420 | − | 0.725561i | 0.0388592 | − | 0.0264937i | ||||
\(751\) | −0.757974 | + | 10.1145i | −0.0276589 | + | 0.369082i | 0.966150 | + | 0.257980i | \(0.0830569\pi\) |
−0.993809 | + | 0.111102i | \(0.964562\pi\) | |||||||
\(752\) | 1.62069 | + | 7.10070i | 0.0591004 | + | 0.258936i | ||||
\(753\) | 2.39898 | + | 10.5106i | 0.0874236 | + | 0.383028i | ||||
\(754\) | −2.91864 | + | 38.9466i | −0.106291 | + | 1.41835i | ||||
\(755\) | −1.52173 | + | 1.03750i | −0.0553815 | + | 0.0377584i | ||||
\(756\) | 10.4081 | − | 9.65733i | 0.378540 | − | 0.351234i | ||||
\(757\) | −6.62991 | + | 16.8927i | −0.240968 | + | 0.613977i | −0.999281 | − | 0.0379139i | \(-0.987929\pi\) |
0.758313 | + | 0.651891i | \(0.226024\pi\) | |||||||
\(758\) | −17.2058 | − | 21.5753i | −0.624941 | − | 0.783652i | ||||
\(759\) | 1.14116 | + | 15.2277i | 0.0414215 | + | 0.552732i | ||||
\(760\) | 0.240942 | − | 0.0743208i | 0.00873988 | − | 0.00269590i | ||||
\(761\) | 7.03008 | + | 1.05961i | 0.254840 | + | 0.0384110i | 0.275220 | − | 0.961381i | \(-0.411249\pi\) |
−0.0203795 | + | 0.999792i | \(0.506487\pi\) | |||||||
\(762\) | −16.6340 | − | 15.4341i | −0.602588 | − | 0.559120i | ||||
\(763\) | −5.02626 | + | 2.42052i | −0.181963 | + | 0.0876287i | ||||
\(764\) | 3.93355 | − | 0.592887i | 0.142311 | − | 0.0214499i | ||||
\(765\) | −6.61633 | − | 4.51094i | −0.239214 | − | 0.163093i | ||||
\(766\) | −9.33063 | + | 11.7002i | −0.337129 | + | 0.422747i | ||||
\(767\) | 9.17897 | + | 15.8984i | 0.331433 | + | 0.574060i | ||||
\(768\) | 0.644004 | − | 1.11545i | 0.0232385 | − | 0.0402502i | ||||
\(769\) | −0.998058 | − | 2.54301i | −0.0359909 | − | 0.0917033i | 0.911748 | − | 0.410749i | \(-0.134733\pi\) |
−0.947739 | + | 0.319046i | \(0.896638\pi\) | |||||||
\(770\) | 9.04386 | + | 4.35529i | 0.325918 | + | 0.156954i | ||||
\(771\) | −1.53014 | − | 0.471986i | −0.0551067 | − | 0.0169982i | ||||
\(772\) | 4.32685 | − | 18.9572i | 0.155727 | − | 0.682283i | ||||
\(773\) | −40.6674 | −1.46271 | −0.731353 | − | 0.681999i | \(-0.761111\pi\) | ||||
−0.731353 | + | 0.681999i | \(0.761111\pi\) | |||||||
\(774\) | 5.87704 | + | 6.54145i | 0.211246 | + | 0.235128i | ||||
\(775\) | −7.72662 | −0.277548 | ||||||||
\(776\) | −2.25448 | + | 9.87750i | −0.0809309 | + | 0.354582i | ||||
\(777\) | −25.4343 | − | 7.84545i | −0.912451 | − | 0.281454i | ||||
\(778\) | 31.3788 | + | 15.1112i | 1.12499 | + | 0.541764i | ||||
\(779\) | 0.0197298 | + | 0.0502706i | 0.000706892 | + | 0.00180113i | ||||
\(780\) | −3.19664 | + | 5.53675i | −0.114458 | + | 0.198247i | ||||
\(781\) | 15.3709 | + | 26.6232i | 0.550015 | + | 0.952654i | ||||
\(782\) | −11.1665 | + | 14.0023i | −0.399312 | + | 0.500721i | ||||
\(783\) | −36.3494 | − | 24.7826i | −1.29902 | − | 0.885658i | ||||
\(784\) | 0.545434 | − | 0.0822109i | 0.0194798 | − | 0.00293610i | ||||
\(785\) | 6.12590 | − | 2.95008i | 0.218643 | − | 0.105293i | ||||
\(786\) | 18.9050 | + | 17.5413i | 0.674319 | + | 0.625676i | ||||
\(787\) | −21.9771 | − | 3.31251i | −0.783398 | − | 0.118078i | −0.254849 | − | 0.966981i | \(-0.582026\pi\) |
−0.528549 | + | 0.848903i | \(0.677264\pi\) | |||||||
\(788\) | −5.91764 | + | 1.82535i | −0.210807 | + | 0.0650254i | ||||
\(789\) | −1.01205 | − | 13.5049i | −0.0360300 | − | 0.480787i | ||||
\(790\) | 3.53824 | + | 4.43681i | 0.125885 | + | 0.157855i | ||||
\(791\) | 10.8827 | − | 27.7286i | 0.386943 | − | 0.985914i | ||||
\(792\) | 3.88591 | − | 3.60560i | 0.138080 | − | 0.128119i | ||||
\(793\) | −53.6678 | + | 36.5901i | −1.90580 | + | 1.29935i | ||||
\(794\) | −2.76455 | + | 36.8903i | −0.0981102 | + | 1.30919i | ||||
\(795\) | −3.00950 | − | 13.1855i | −0.106736 | − | 0.467641i | ||||
\(796\) | −2.22612 | − | 9.75328i | −0.0789028 | − | 0.345696i | ||||
\(797\) | −2.14264 | + | 28.5915i | −0.0758961 | + | 1.01276i | 0.821117 | + | 0.570760i | \(0.193351\pi\) |
−0.897013 | + | 0.442004i | \(0.854268\pi\) | |||||||
\(798\) | 0.681395 | − | 0.464567i | 0.0241211 | − | 0.0164455i | ||||
\(799\) | 31.8812 | − | 29.5814i | 1.12788 | − | 1.04652i | ||||
\(800\) | −0.365341 | + | 0.930874i | −0.0129168 | + | 0.0329114i | ||||
\(801\) | 14.6218 | + | 18.3352i | 0.516637 | + | 0.647842i | ||||
\(802\) | 2.42573 | + | 32.3691i | 0.0856554 | + | 1.14299i | ||||
\(803\) | −33.4168 | + | 10.3077i | −1.17925 | + | 0.363751i | ||||
\(804\) | −12.6789 | − | 1.91103i | −0.447149 | − | 0.0673968i | ||||
\(805\) | 5.58311 | + | 5.18037i | 0.196779 | + | 0.182584i | ||||
\(806\) | 34.5545 | − | 16.6406i | 1.21713 | − | 0.586140i | ||||
\(807\) | −20.6907 | + | 3.11863i | −0.728349 | + | 0.109781i | ||||
\(808\) | 8.63210 | + | 5.88527i | 0.303676 | + | 0.207043i | ||||
\(809\) | −1.46069 | + | 1.83165i | −0.0513551 | + | 0.0643973i | −0.806846 | − | 0.590762i | \(-0.798827\pi\) |
0.755491 | + | 0.655159i | \(0.227399\pi\) | |||||||
\(810\) | −1.58926 | − | 2.75268i | −0.0558408 | − | 0.0967192i | ||||
\(811\) | 12.4530 | − | 21.5692i | 0.437283 | − | 0.757397i | −0.560196 | − | 0.828360i | \(-0.689274\pi\) |
0.997479 | + | 0.0709635i | \(0.0226074\pi\) | |||||||
\(812\) | 7.29969 | + | 18.5993i | 0.256169 | + | 0.652708i | ||||
\(813\) | 19.9274 | + | 9.59651i | 0.698883 | + | 0.336564i | ||||
\(814\) | −30.7393 | − | 9.48181i | −1.07741 | − | 0.332337i | ||||
\(815\) | 2.76679 | − | 12.1221i | 0.0969164 | − | 0.424619i | ||||
\(816\) | −7.69113 | −0.269243 | ||||||||
\(817\) | 0.909357 | + | 1.38089i | 0.0318144 | + | 0.0483113i | ||||
\(818\) | 7.34518 | 0.256818 | ||||||||
\(819\) | 3.76134 | − | 16.4795i | 0.131432 | − | 0.575841i | ||||
\(820\) | −0.204663 | − | 0.0631301i | −0.00714713 | − | 0.00220460i | ||||
\(821\) | −34.8098 | − | 16.7635i | −1.21487 | − | 0.585051i | −0.286993 | − | 0.957933i | \(-0.592656\pi\) |
−0.927879 | + | 0.372881i | \(0.878370\pi\) | |||||||
\(822\) | −3.18308 | − | 8.11035i | −0.111023 | − | 0.282881i | ||||
\(823\) | 0.439582 | − | 0.761378i | 0.0153229 | − | 0.0265400i | −0.858262 | − | 0.513211i | \(-0.828456\pi\) |
0.873585 | + | 0.486671i | \(0.161789\pi\) | |||||||
\(824\) | −8.93715 | − | 15.4796i | −0.311340 | − | 0.539257i | ||||
\(825\) | 3.17443 | − | 3.98061i | 0.110519 | − | 0.138587i | ||||
\(826\) | 7.75979 | + | 5.29054i | 0.269998 | + | 0.184081i | ||||
\(827\) | −34.5266 | + | 5.20405i | −1.20061 | + | 0.180963i | −0.718739 | − | 0.695280i | \(-0.755280\pi\) |
−0.481870 | + | 0.876243i | \(0.660042\pi\) | |||||||
\(828\) | 3.62381 | − | 1.74513i | 0.125936 | − | 0.0606476i | ||||
\(829\) | −26.5465 | − | 24.6316i | −0.921998 | − | 0.855489i | 0.0678386 | − | 0.997696i | \(-0.478390\pi\) |
−0.989837 | + | 0.142207i | \(0.954580\pi\) | |||||||
\(830\) | 2.75787 | + | 0.415682i | 0.0957270 | + | 0.0144285i | ||||
\(831\) | 20.3244 | − | 6.26924i | 0.705044 | − | 0.217477i | ||||
\(832\) | −0.370938 | − | 4.94982i | −0.0128600 | − | 0.171604i | ||||
\(833\) | −2.05362 | − | 2.57516i | −0.0711538 | − | 0.0892241i | ||||
\(834\) | 4.68825 | − | 11.9455i | 0.162341 | − | 0.413637i | ||||
\(835\) | 14.8412 | − | 13.7706i | 0.513601 | − | 0.476552i | ||||
\(836\) | 0.823516 | − | 0.561464i | 0.0284819 | − | 0.0194186i | ||||
\(837\) | −3.22847 | + | 43.0810i | −0.111592 | + | 1.48910i | ||||
\(838\) | −4.04443 | − | 17.7198i | −0.139713 | − | 0.612121i | ||||
\(839\) | −11.3391 | − | 49.6799i | −0.391470 | − | 1.71514i | −0.659477 | − | 0.751725i | \(-0.729222\pi\) |
0.268006 | − | 0.963417i | \(-0.413635\pi\) | |||||||
\(840\) | −0.244422 | + | 3.26158i | −0.00843336 | + | 0.112535i | ||||
\(841\) | 27.1913 | − | 18.5387i | 0.937633 | − | 0.639267i | ||||
\(842\) | 2.58895 | − | 2.40220i | 0.0892212 | − | 0.0827852i | ||||
\(843\) | 9.73517 | − | 24.8048i | 0.335297 | − | 0.854323i | ||||
\(844\) | 7.73035 | + | 9.69355i | 0.266090 | + | 0.333666i | ||||
\(845\) | 0.869734 | + | 11.6058i | 0.0299198 | + | 0.399252i | ||||
\(846\) | −9.33324 | + | 2.87892i | −0.320884 | + | 0.0989795i | ||||
\(847\) | 11.6148 | + | 1.75065i | 0.399090 | + | 0.0601531i | ||||
\(848\) | 7.69732 | + | 7.14207i | 0.264327 | + | 0.245260i | ||||
\(849\) | 5.64179 | − | 2.71694i | 0.193626 | − | 0.0932453i | ||||
\(850\) | 5.90464 | − | 0.889981i | 0.202527 | − | 0.0305261i | ||||
\(851\) | −20.1666 | − | 13.7493i | −0.691302 | − | 0.471321i | ||||
\(852\) | −6.24540 | + | 7.83148i | −0.213964 | + | 0.268302i | ||||
\(853\) | −5.39644 | − | 9.34691i | −0.184771 | − | 0.320032i | 0.758729 | − | 0.651407i | \(-0.225821\pi\) |
−0.943499 | + | 0.331375i | \(0.892488\pi\) | |||||||
\(854\) | −16.6149 | + | 28.7779i | −0.568551 | + | 0.984759i | ||||
\(855\) | 0.123534 | + | 0.314760i | 0.00422478 | + | 0.0107646i | ||||
\(856\) | −0.587754 | − | 0.283047i | −0.0200890 | − | 0.00967436i | ||||
\(857\) | 48.5755 | + | 14.9836i | 1.65931 | + | 0.511828i | 0.975902 | − | 0.218211i | \(-0.0700220\pi\) |
0.683405 | + | 0.730039i | \(0.260498\pi\) | |||||||
\(858\) | −5.62358 | + | 24.6385i | −0.191986 | + | 0.841145i | ||||
\(859\) | 42.5479 | 1.45172 | 0.725858 | − | 0.687845i | \(-0.241443\pi\) | ||||
0.725858 | + | 0.687845i | \(0.241443\pi\) | |||||||
\(860\) | −6.53039 | − | 0.594931i | −0.222685 | − | 0.0202870i | ||||
\(861\) | −0.700518 | −0.0238736 | ||||||||
\(862\) | −0.967268 | + | 4.23788i | −0.0329453 | + | 0.144343i | ||||
\(863\) | 9.09191 | + | 2.80448i | 0.309492 | + | 0.0954657i | 0.445611 | − | 0.895227i | \(-0.352987\pi\) |
−0.136118 | + | 0.990693i | \(0.543463\pi\) | |||||||
\(864\) | 5.03758 | + | 2.42597i | 0.171382 | + | 0.0825331i | ||||
\(865\) | 0.495828 | + | 1.26335i | 0.0168587 | + | 0.0429552i | ||||
\(866\) | −0.780623 | + | 1.35208i | −0.0265266 | + | 0.0459455i | ||||
\(867\) | 12.0151 | + | 20.8107i | 0.408054 | + | 0.706769i | ||||
\(868\) | 12.2333 | − | 15.3401i | 0.415227 | − | 0.520678i | ||||
\(869\) | 18.5345 | + | 12.6366i | 0.628740 | + | 0.428668i | ||||
\(870\) | 10.0212 | − | 1.51045i | 0.339751 | − | 0.0512092i | ||||
\(871\) | −44.5200 | + | 21.4397i | −1.50850 | + | 0.726456i | ||||
\(872\) | −1.61044 | − | 1.49427i | −0.0545363 | − | 0.0506023i | ||||
\(873\) | −13.4350 | − | 2.02500i | −0.454705 | − | 0.0685358i | ||||
\(874\) | 0.722649 | − | 0.222908i | 0.0244440 | − | 0.00753997i | ||||
\(875\) | −0.189767 | − | 2.53227i | −0.00641531 | − | 0.0856064i | ||||
\(876\) | −7.10446 | − | 8.90871i | −0.240038 | − | 0.300998i | ||||
\(877\) | −5.67296 | + | 14.4545i | −0.191562 | + | 0.488093i | −0.994095 | − | 0.108516i | \(-0.965390\pi\) |
0.802532 | + | 0.596608i | \(0.203485\pi\) | |||||||
\(878\) | 13.8391 | − | 12.8408i | 0.467047 | − | 0.433357i | ||||
\(879\) | −26.0149 | + | 17.7367i | −0.877462 | + | 0.598244i | ||||
\(880\) | −0.295402 | + | 3.94186i | −0.00995800 | + | 0.132880i | ||||
\(881\) | −2.61642 | − | 11.4633i | −0.0881493 | − | 0.386207i | 0.911538 | − | 0.411216i | \(-0.134896\pi\) |
−0.999687 | + | 0.0250087i | \(0.992039\pi\) | |||||||
\(882\) | 0.164601 | + | 0.721162i | 0.00554239 | + | 0.0242828i | ||||
\(883\) | −2.25422 | + | 30.0804i | −0.0758604 | + | 1.01229i | 0.821275 | + | 0.570532i | \(0.193263\pi\) |
−0.897136 | + | 0.441755i | \(0.854356\pi\) | |||||||
\(884\) | −24.4897 | + | 16.6968i | −0.823676 | + | 0.561573i | ||||
\(885\) | 3.49198 | − | 3.24008i | 0.117382 | − | 0.108914i | ||||
\(886\) | 5.04303 | − | 12.8494i | 0.169424 | − | 0.431685i | ||||
\(887\) | −16.1663 | − | 20.2718i | −0.542810 | − | 0.680662i | 0.432467 | − | 0.901650i | \(-0.357643\pi\) |
−0.975277 | + | 0.220988i | \(0.929072\pi\) | |||||||
\(888\) | −0.783296 | − | 10.4524i | −0.0262857 | − | 0.350758i | ||||
\(889\) | −42.7499 | + | 13.1866i | −1.43378 | + | 0.442264i | ||||
\(890\) | −17.2924 | − | 2.60640i | −0.579641 | − | 0.0873668i | ||||
\(891\) | −9.21037 | − | 8.54597i | −0.308559 | − | 0.286301i | ||||
\(892\) | 2.84494 | − | 1.37005i | 0.0952558 | − | 0.0458728i | ||||
\(893\) | −1.81593 | + | 0.273707i | −0.0607678 | + | 0.00915927i | ||||
\(894\) | 0.0955355 | + | 0.0651350i | 0.00319519 | + | 0.00217844i | ||||
\(895\) | 2.49498 | − | 3.12861i | 0.0833980 | − | 0.104578i | ||||
\(896\) | −1.26969 | − | 2.19916i | −0.0424172 | − | 0.0734688i | ||||
\(897\) | −9.58759 | + | 16.6062i | −0.320120 | + | 0.554464i | ||||
\(898\) | −1.65810 | − | 4.22478i | −0.0553316 | − | 0.140983i | ||||
\(899\) | −54.7746 | − | 26.3780i | −1.82683 | − | 0.879757i | ||||
\(900\) | −1.28146 | − | 0.395277i | −0.0427152 | − | 0.0131759i | ||||
\(901\) | 13.9524 | − | 61.1292i | 0.464820 | − | 2.03651i | ||||
\(902\) | −0.846628 | −0.0281896 | ||||||||
\(903\) | −20.9838 | + | 4.43631i | −0.698297 | + | 0.147631i | ||||
\(904\) | 11.7303 | 0.390145 | ||||||||
\(905\) | 2.58347 | − | 11.3189i | 0.0858773 | − | 0.376253i | ||||
\(906\) | −2.26681 | − | 0.699217i | −0.0753096 | − | 0.0232299i | ||||
\(907\) | 12.2052 | + | 5.87772i | 0.405267 | + | 0.195166i | 0.625401 | − | 0.780303i | \(-0.284935\pi\) |
−0.220134 | + | 0.975470i | \(0.570650\pi\) | |||||||
\(908\) | −7.77889 | − | 19.8203i | −0.258152 | − | 0.657759i | ||||
\(909\) | −7.00521 | + | 12.1334i | −0.232348 | + | 0.402439i | ||||
\(910\) | 6.30234 | + | 10.9160i | 0.208921 | + | 0.361861i | ||||
\(911\) | 10.4911 | − | 13.1554i | 0.347585 | − | 0.435858i | −0.577052 | − | 0.816708i | \(-0.695797\pi\) |
0.924637 | + | 0.380849i | \(0.124368\pi\) | |||||||
\(912\) | 0.268332 | + | 0.182946i | 0.00888537 | + | 0.00605794i | ||||
\(913\) | 10.9016 | − | 1.64316i | 0.360791 | − | 0.0543805i | ||||
\(914\) | −22.3345 | + | 10.7557i | −0.738759 | + | 0.355767i | ||||
\(915\) | 12.3554 | + | 11.4641i | 0.408456 | + | 0.378991i | ||||
\(916\) | 12.4753 | + | 1.88034i | 0.412194 | + | 0.0621283i | ||||
\(917\) | 48.5862 | − | 14.9869i | 1.60446 | − | 0.494910i | ||||
\(918\) | −2.49505 | − | 33.2941i | −0.0823488 | − | 1.09887i | ||||
\(919\) | 3.45652 | + | 4.33433i | 0.114020 | + | 0.142977i | 0.835566 | − | 0.549390i | \(-0.185140\pi\) |
−0.721546 | + | 0.692366i | \(0.756568\pi\) | |||||||
\(920\) | −1.09575 | + | 2.79194i | −0.0361260 | + | 0.0920475i | ||||
\(921\) | −16.9756 | + | 15.7511i | −0.559366 | + | 0.519015i | ||||
\(922\) | −15.6220 | + | 10.6509i | −0.514482 | + | 0.350768i | ||||
\(923\) | −2.88479 | + | 38.4948i | −0.0949539 | + | 1.26707i | ||||
\(924\) | 2.87696 | + | 12.6048i | 0.0946449 | + | 0.414667i | ||||
\(925\) | 1.81085 | + | 7.93386i | 0.0595404 | + | 0.260864i | ||||
\(926\) | 2.07182 | − | 27.6465i | 0.0680842 | − | 0.908521i | ||||
\(927\) | 19.8050 | − | 13.5028i | 0.650482 | − | 0.443491i | ||||
\(928\) | −5.76786 | + | 5.35179i | −0.189339 | + | 0.175681i | ||||
\(929\) | 5.43052 | − | 13.8367i | 0.178170 | − | 0.453969i | −0.813691 | − | 0.581298i | \(-0.802545\pi\) |
0.991861 | + | 0.127329i | \(0.0406404\pi\) | |||||||
\(930\) | −6.20494 | − | 7.78074i | −0.203468 | − | 0.255141i | ||||
\(931\) | 0.0103936 | + | 0.138692i | 0.000340635 | + | 0.00454546i | ||||
\(932\) | 10.4282 | − | 3.21667i | 0.341586 | − | 0.105365i | ||||
\(933\) | −26.6492 | − | 4.01672i | −0.872456 | − | 0.131502i | ||||
\(934\) | 9.80541 | + | 9.09809i | 0.320843 | + | 0.297699i | ||||
\(935\) | 21.2666 | − | 10.2415i | 0.695494 | − | 0.334932i | ||||
\(936\) | 6.58215 | − | 0.992100i | 0.215144 | − | 0.0324278i | ||||
\(937\) | −7.76094 | − | 5.29132i | −0.253539 | − | 0.172860i | 0.429881 | − | 0.902886i | \(-0.358556\pi\) |
−0.683420 | + | 0.730026i | \(0.739508\pi\) | |||||||
\(938\) | −15.7614 | + | 19.7642i | −0.514628 | + | 0.645323i | ||||
\(939\) | −16.5760 | − | 28.7105i | −0.540937 | − | 0.936931i | ||||
\(940\) | 3.64165 | − | 6.30753i | 0.118778 | − | 0.205729i | ||||
\(941\) | 3.75465 | + | 9.56669i | 0.122398 | + | 0.311865i | 0.978920 | − | 0.204246i | \(-0.0654743\pi\) |
−0.856522 | + | 0.516111i | \(0.827379\pi\) | |||||||
\(942\) | 7.89020 | + | 3.79972i | 0.257077 | + | 0.123802i | ||||
\(943\) | −0.613838 | − | 0.189344i | −0.0199893 | − | 0.00616589i | ||||
\(944\) | −0.822980 | + | 3.60571i | −0.0267857 | + | 0.117356i | ||||
\(945\) | −14.1984 | −0.461873 | ||||||||
\(946\) | −25.3604 | + | 5.36161i | −0.824539 | + | 0.174321i | ||||
\(947\) | 30.6050 | 0.994527 | 0.497264 | − | 0.867599i | \(-0.334338\pi\) | ||||
0.497264 | + | 0.867599i | \(0.334338\pi\) | |||||||
\(948\) | −1.62647 | + | 7.12604i | −0.0528254 | + | 0.231443i | ||||
\(949\) | −41.9617 | − | 12.9435i | −1.36213 | − | 0.420163i | ||||
\(950\) | −0.227174 | − | 0.109401i | −0.00737050 | − | 0.00354944i | ||||
\(951\) | 10.6698 | + | 27.1863i | 0.345993 | + | 0.881577i | ||||
\(952\) | −7.58172 | + | 13.1319i | −0.245725 | + | 0.425608i | ||||
\(953\) | 16.5454 | + | 28.6575i | 0.535959 | + | 0.928308i | 0.999116 | + | 0.0420317i | \(0.0133830\pi\) |
−0.463158 | + | 0.886276i | \(0.653284\pi\) | |||||||
\(954\) | −8.77960 | + | 11.0093i | −0.284250 | + | 0.356438i | ||||
\(955\) | −3.28676 | − | 2.24088i | −0.106357 | − | 0.0725131i | ||||
\(956\) | 19.1281 | − | 2.88310i | 0.618648 | − | 0.0932462i | ||||
\(957\) | 36.0932 | − | 17.3816i | 1.16673 | − | 0.561867i | ||||
\(958\) | 14.5257 | + | 13.4778i | 0.469303 | + | 0.435450i | ||||
\(959\) | −16.9855 | − | 2.56015i | −0.548491 | − | 0.0826717i | ||||
\(960\) | −1.23079 | + | 0.379647i | −0.0397234 | + | 0.0122531i | ||||
\(961\) | 2.14480 | + | 28.6204i | 0.0691872 | + | 0.923238i | ||||
\(962\) | −25.1853 | − | 31.5814i | −0.812006 | − | 1.01822i | ||||
\(963\) | 0.319613 | − | 0.814361i | 0.0102994 | − | 0.0262424i | ||||
\(964\) | −14.8501 | + | 13.7789i | −0.478291 | + | 0.443789i | ||||
\(965\) | −16.0659 | + | 10.9536i | −0.517181 | + | 0.352608i | ||||
\(966\) | −0.733086 | + | 9.78236i | −0.0235867 | + | 0.314742i | ||||
\(967\) | 5.53685 | + | 24.2585i | 0.178053 | + | 0.780101i | 0.982528 | + | 0.186115i | \(0.0595896\pi\) |
−0.804475 | + | 0.593987i | \(0.797553\pi\) | |||||||
\(968\) | 1.02928 | + | 4.50959i | 0.0330824 | + | 0.144944i | ||||
\(969\) | 0.144922 | − | 1.93385i | 0.00465556 | − | 0.0621242i | ||||
\(970\) | 8.37105 | − | 5.70729i | 0.268778 | − | 0.183250i | ||||
\(971\) | −28.1288 | + | 26.0997i | −0.902696 | + | 0.837580i | −0.987305 | − | 0.158834i | \(-0.949226\pi\) |
0.0846089 | + | 0.996414i | \(0.473036\pi\) | |||||||
\(972\) | −4.63249 | + | 11.8034i | −0.148587 | + | 0.378594i | ||||
\(973\) | −15.7743 | − | 19.7803i | −0.505699 | − | 0.634127i | ||||
\(974\) | 1.80866 | + | 24.1349i | 0.0579532 | + | 0.773331i | ||||
\(975\) | 6.10925 | − | 1.88445i | 0.195653 | − | 0.0603509i | ||||
\(976\) | −12.9397 | − | 1.95035i | −0.414190 | − | 0.0624290i | ||||
\(977\) | −20.9150 | − | 19.4063i | −0.669130 | − | 0.620862i | 0.270635 | − | 0.962682i | \(-0.412766\pi\) |
−0.939765 | + | 0.341820i | \(0.888957\pi\) | |||||||
\(978\) | 14.4289 | − | 6.94860i | 0.461386 | − | 0.222192i | ||||
\(979\) | −68.3553 | + | 10.3029i | −2.18464 | + | 0.329282i | ||||
\(980\) | −0.455749 | − | 0.310724i | −0.0145584 | − | 0.00992573i | ||||
\(981\) | 1.83687 | − | 2.30336i | 0.0586468 | − | 0.0735408i | ||||
\(982\) | 17.0343 | + | 29.5042i | 0.543586 | + | 0.941518i | ||||
\(983\) | 18.1294 | − | 31.4011i | 0.578239 | − | 1.00154i | −0.417443 | − | 0.908703i | \(-0.637074\pi\) |
0.995681 | − | 0.0928354i | \(-0.0295930\pi\) | |||||||
\(984\) | −0.100784 | − | 0.256794i | −0.00321288 | − | 0.00818628i | ||||
\(985\) | 5.57949 | + | 2.68694i | 0.177777 | + | 0.0856130i | ||||
\(986\) | 44.8968 | + | 13.8488i | 1.42980 | + | 0.441036i | ||||
\(987\) | 5.30083 | − | 23.2245i | 0.168727 | − | 0.739243i | ||||
\(988\) | 1.25157 | 0.0398177 | ||||||||
\(989\) | −19.5864 | − | 1.78436i | −0.622811 | − | 0.0567393i | ||||
\(990\) | −5.30100 | −0.168477 | ||||||||
\(991\) | −9.59082 | + | 42.0201i | −0.304662 | + | 1.33481i | 0.558340 | + | 0.829612i | \(0.311439\pi\) |
−0.863002 | + | 0.505200i | \(0.831419\pi\) | |||||||
\(992\) | 7.38335 | + | 2.27746i | 0.234422 | + | 0.0723095i | ||||
\(993\) | 19.8970 | + | 9.58191i | 0.631413 | + | 0.304073i | ||||
\(994\) | 7.21501 | + | 18.3835i | 0.228846 | + | 0.583091i | ||||
\(995\) | −5.00205 | + | 8.66381i | −0.158576 | + | 0.274661i | ||||
\(996\) | 1.79614 | + | 3.11101i | 0.0569129 | + | 0.0985760i | ||||
\(997\) | 2.97294 | − | 3.72795i | 0.0941540 | − | 0.118065i | −0.732523 | − | 0.680743i | \(-0.761657\pi\) |
0.826677 | + | 0.562677i | \(0.190229\pi\) | |||||||
\(998\) | 2.45514 | + | 1.67389i | 0.0777162 | + | 0.0529860i | ||||
\(999\) | 44.9931 | − | 6.78161i | 1.42352 | − | 0.214561i |
(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 | 430.2.q.c.81.2 | ✓ | 48 | |
43.17 | even | 21 | inner | 430.2.q.c.361.2 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.q.c.81.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
430.2.q.c.361.2 | yes | 48 | 43.17 | even | 21 | inner |