Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 47.23 | ||
Character | \(\chi\) | \(=\) | 570.47 |
Dual form | 570.2.bi.a.473.23 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.819152 | + | 0.573576i | 0.579228 | + | 0.405580i | ||||
\(3\) | −1.59136 | + | 0.683794i | −0.918772 | + | 0.394789i | ||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | −1.40521 | + | 1.73937i | −0.628428 | + | 0.777868i | ||||
\(6\) | −1.69577 | − | 0.352635i | −0.692297 | − | 0.143963i | ||||
\(7\) | −3.56705 | + | 0.955789i | −1.34822 | + | 0.361254i | −0.859477 | − | 0.511174i | \(-0.829211\pi\) |
−0.488742 | + | 0.872428i | \(0.662544\pi\) | |||||||
\(8\) | −0.258819 | + | 0.965926i | −0.0915064 | + | 0.341506i | ||||
\(9\) | 2.06485 | − | 2.17632i | 0.688284 | − | 0.725442i | ||||
\(10\) | −2.14874 | + | 0.618811i | −0.679490 | + | 0.195685i | ||||
\(11\) | −0.294826 | + | 0.170218i | −0.0888934 | + | 0.0513226i | −0.543788 | − | 0.839223i | \(-0.683010\pi\) |
0.454894 | + | 0.890545i | \(0.349677\pi\) | |||||||
\(12\) | −1.18683 | − | 1.26152i | −0.342609 | − | 0.364169i | ||||
\(13\) | 4.18475 | − | 0.366118i | 1.16064 | − | 0.101543i | 0.509480 | − | 0.860483i | \(-0.329838\pi\) |
0.651161 | + | 0.758940i | \(0.274282\pi\) | |||||||
\(14\) | −3.47018 | − | 1.26304i | −0.927444 | − | 0.337562i | ||||
\(15\) | 1.04682 | − | 3.72883i | 0.270288 | − | 0.962779i | ||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | −4.59537 | − | 3.21771i | −1.11454 | − | 0.780409i | −0.136877 | − | 0.990588i | \(-0.543707\pi\) |
−0.977663 | + | 0.210179i | \(0.932595\pi\) | |||||||
\(18\) | 2.93972 | − | 0.598391i | 0.692898 | − | 0.141042i | ||||
\(19\) | 1.82520 | − | 3.95837i | 0.418729 | − | 0.908111i | ||||
\(20\) | −2.11508 | − | 0.725565i | −0.472946 | − | 0.162241i | ||||
\(21\) | 5.02290 | − | 3.96013i | 1.09609 | − | 0.864172i | ||||
\(22\) | −0.339140 | − | 0.0296709i | −0.0723050 | − | 0.00632586i | ||||
\(23\) | −8.17331 | − | 3.81128i | −1.70425 | − | 0.794706i | −0.996059 | − | 0.0886883i | \(-0.971733\pi\) |
−0.708194 | − | 0.706018i | \(-0.750490\pi\) | |||||||
\(24\) | −0.248620 | − | 1.71411i | −0.0507494 | − | 0.349892i | ||||
\(25\) | −1.05078 | − | 4.88834i | −0.210157 | − | 0.977668i | ||||
\(26\) | 3.63794 | + | 2.10037i | 0.713459 | + | 0.411916i | ||||
\(27\) | −1.79776 | + | 4.87525i | −0.345980 | + | 0.938242i | ||||
\(28\) | −2.11815 | − | 3.02503i | −0.400293 | − | 0.571678i | ||||
\(29\) | −0.583724 | + | 3.31046i | −0.108395 | + | 0.614737i | 0.881415 | + | 0.472342i | \(0.156591\pi\) |
−0.989810 | + | 0.142395i | \(0.954520\pi\) | |||||||
\(30\) | 2.99628 | − | 2.45404i | 0.547042 | − | 0.448045i | ||||
\(31\) | −2.44632 | + | 4.23715i | −0.439372 | + | 0.761014i | −0.997641 | − | 0.0686457i | \(-0.978132\pi\) |
0.558269 | + | 0.829660i | \(0.311466\pi\) | |||||||
\(32\) | −0.996195 | + | 0.0871557i | −0.176104 | + | 0.0154071i | ||||
\(33\) | 0.352780 | − | 0.472478i | 0.0614112 | − | 0.0822479i | ||||
\(34\) | −1.91870 | − | 5.27159i | −0.329055 | − | 0.904070i | ||||
\(35\) | 3.34998 | − | 7.54749i | 0.566251 | − | 1.27576i | ||||
\(36\) | 2.75130 | + | 1.19598i | 0.458550 | + | 0.199330i | ||||
\(37\) | 1.23491 | + | 1.23491i | 0.203017 | + | 0.203017i | 0.801291 | − | 0.598274i | \(-0.204147\pi\) |
−0.598274 | + | 0.801291i | \(0.704147\pi\) | |||||||
\(38\) | 3.76554 | − | 2.19561i | 0.610851 | − | 0.356176i | ||||
\(39\) | −6.40909 | + | 3.44413i | −1.02628 | + | 0.551503i | ||||
\(40\) | −1.31640 | − | 1.80751i | −0.208142 | − | 0.285792i | ||||
\(41\) | 1.92901 | + | 2.29890i | 0.301260 | + | 0.359028i | 0.895344 | − | 0.445375i | \(-0.146930\pi\) |
−0.594084 | + | 0.804403i | \(0.702485\pi\) | |||||||
\(42\) | 6.38596 | − | 0.362934i | 0.985375 | − | 0.0560019i | ||||
\(43\) | −6.21962 | + | 2.90026i | −0.948483 | + | 0.442285i | −0.834383 | − | 0.551184i | \(-0.814176\pi\) |
−0.114100 | + | 0.993469i | \(0.536398\pi\) | |||||||
\(44\) | −0.260789 | − | 0.218828i | −0.0393154 | − | 0.0329895i | ||||
\(45\) | 0.883880 | + | 6.64972i | 0.131761 | + | 0.991282i | ||||
\(46\) | −4.50913 | − | 7.81003i | −0.664834 | − | 1.15153i | ||||
\(47\) | 5.28378 | + | 7.54602i | 0.770718 | + | 1.10070i | 0.992092 | + | 0.125511i | \(0.0400570\pi\) |
−0.221374 | + | 0.975189i | \(0.571054\pi\) | |||||||
\(48\) | 0.779518 | − | 1.54672i | 0.112514 | − | 0.223250i | ||||
\(49\) | 5.74816 | − | 3.31870i | 0.821165 | − | 0.474100i | ||||
\(50\) | 1.94308 | − | 4.60700i | 0.274794 | − | 0.651528i | ||||
\(51\) | 9.51313 | + | 1.97825i | 1.33211 | + | 0.277010i | ||||
\(52\) | 1.77531 | + | 3.80716i | 0.246191 | + | 0.527958i | ||||
\(53\) | −6.46013 | − | 3.01241i | −0.887368 | − | 0.413786i | −0.0751714 | − | 0.997171i | \(-0.523950\pi\) |
−0.812196 | + | 0.583384i | \(0.801728\pi\) | |||||||
\(54\) | −4.26897 | + | 2.96242i | −0.580933 | + | 0.403134i | ||||
\(55\) | 0.118221 | − | 0.752002i | 0.0159409 | − | 0.101400i | ||||
\(56\) | − | 3.69289i | − | 0.493483i | ||||||
\(57\) | −0.197836 | + | 7.54724i | −0.0262040 | + | 0.999657i | ||||
\(58\) | −2.37696 | + | 2.37696i | −0.312110 | + | 0.312110i | ||||
\(59\) | −0.998240 | − | 5.66130i | −0.129960 | − | 0.737038i | −0.978238 | − | 0.207487i | \(-0.933471\pi\) |
0.848278 | − | 0.529551i | \(-0.177640\pi\) | |||||||
\(60\) | 3.86199 | − | 0.291643i | 0.498580 | − | 0.0376509i | ||||
\(61\) | −2.81708 | + | 1.02533i | −0.360690 | + | 0.131280i | −0.516007 | − | 0.856584i | \(-0.672582\pi\) |
0.155317 | + | 0.987865i | \(0.450360\pi\) | |||||||
\(62\) | −4.43423 | + | 2.06772i | −0.563148 | + | 0.262600i | ||||
\(63\) | −5.28533 | + | 9.73663i | −0.665889 | + | 1.22670i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | −5.24363 | + | 7.79328i | −0.650392 | + | 0.966638i | ||||
\(66\) | 0.559983 | − | 0.184685i | 0.0689291 | − | 0.0227332i | ||||
\(67\) | −3.62374 | + | 2.53737i | −0.442710 | + | 0.309989i | −0.773593 | − | 0.633683i | \(-0.781542\pi\) |
0.330883 | + | 0.943672i | \(0.392654\pi\) | |||||||
\(68\) | 1.45195 | − | 5.41875i | 0.176075 | − | 0.657120i | ||||
\(69\) | 15.6128 | + | 0.476251i | 1.87956 | + | 0.0573339i | ||||
\(70\) | 7.07321 | − | 4.26107i | 0.845410 | − | 0.509295i | ||||
\(71\) | −2.31390 | + | 6.35740i | −0.274610 | + | 0.754484i | 0.723341 | + | 0.690491i | \(0.242606\pi\) |
−0.997950 | + | 0.0639927i | \(0.979617\pi\) | |||||||
\(72\) | 1.56775 | + | 2.55777i | 0.184761 | + | 0.301436i | ||||
\(73\) | 0.237960 | − | 2.71990i | 0.0278511 | − | 0.318340i | −0.969471 | − | 0.245206i | \(-0.921144\pi\) |
0.997322 | − | 0.0731340i | \(-0.0233001\pi\) | |||||||
\(74\) | 0.303263 | + | 1.71989i | 0.0352536 | + | 0.199933i | ||||
\(75\) | 5.01479 | + | 7.06059i | 0.579058 | + | 0.815286i | ||||
\(76\) | 4.34390 | + | 0.361282i | 0.498280 | + | 0.0414419i | ||||
\(77\) | 0.888968 | − | 0.888968i | 0.101307 | − | 0.101307i | ||||
\(78\) | −7.22550 | − | 0.854836i | −0.818126 | − | 0.0967911i | ||||
\(79\) | −10.8537 | − | 12.9349i | −1.22114 | − | 1.45529i | −0.850055 | − | 0.526694i | \(-0.823432\pi\) |
−0.371081 | − | 0.928600i | \(-0.621013\pi\) | |||||||
\(80\) | −0.0415911 | − | 2.23568i | −0.00465002 | − | 0.249957i | ||||
\(81\) | −0.472780 | − | 8.98757i | −0.0525311 | − | 0.998619i | ||||
\(82\) | 0.261554 | + | 2.98958i | 0.0288839 | + | 0.330144i | ||||
\(83\) | −0.963975 | + | 0.258296i | −0.105810 | + | 0.0283517i | −0.311336 | − | 0.950300i | \(-0.600776\pi\) |
0.205526 | + | 0.978652i | \(0.434110\pi\) | |||||||
\(84\) | 5.43924 | + | 3.36554i | 0.593470 | + | 0.367210i | ||||
\(85\) | 12.0542 | − | 3.47147i | 1.30746 | − | 0.376534i | ||||
\(86\) | −6.75833 | − | 1.19168i | −0.728770 | − | 0.128502i | ||||
\(87\) | −1.33476 | − | 5.66728i | −0.143101 | − | 0.607596i | ||||
\(88\) | −0.0881113 | − | 0.328836i | −0.00939269 | − | 0.0350540i | ||||
\(89\) | 7.90618 | + | 6.63407i | 0.838054 | + | 0.703210i | 0.957125 | − | 0.289675i | \(-0.0935473\pi\) |
−0.119071 | + | 0.992886i | \(0.537992\pi\) | |||||||
\(90\) | −3.09009 | + | 5.95410i | −0.325724 | + | 0.627618i | ||||
\(91\) | −14.5773 | + | 5.30570i | −1.52812 | + | 0.556189i | ||||
\(92\) | 0.785992 | − | 8.98393i | 0.0819454 | − | 0.936640i | ||||
\(93\) | 0.995635 | − | 8.41560i | 0.103243 | − | 0.872657i | ||||
\(94\) | 9.21199i | 0.950144i | ||||||||
\(95\) | 4.32026 | + | 8.73701i | 0.443250 | + | 0.896398i | ||||
\(96\) | 1.52571 | − | 0.819888i | 0.155717 | − | 0.0836795i | ||||
\(97\) | −5.06549 | + | 7.23427i | −0.514322 | + | 0.734529i | −0.989368 | − | 0.145433i | \(-0.953543\pi\) |
0.475046 | + | 0.879961i | \(0.342432\pi\) | |||||||
\(98\) | 6.61214 | + | 0.578488i | 0.667927 | + | 0.0584361i | ||||
\(99\) | −0.238322 | + | 0.993112i | −0.0239523 | + | 0.0998115i | ||||
\(100\) | 4.23415 | − | 2.65932i | 0.423415 | − | 0.265932i | ||||
\(101\) | −8.15454 | + | 9.71820i | −0.811407 | + | 0.966997i | −0.999886 | − | 0.0150800i | \(-0.995200\pi\) |
0.188479 | + | 0.982077i | \(0.439644\pi\) | |||||||
\(102\) | 6.65803 | + | 7.07700i | 0.659243 | + | 0.700727i | ||||
\(103\) | 5.43426 | + | 1.45611i | 0.535454 | + | 0.143474i | 0.516406 | − | 0.856344i | \(-0.327270\pi\) |
0.0190483 | + | 0.999819i | \(0.493936\pi\) | |||||||
\(104\) | −0.729450 | + | 4.13692i | −0.0715285 | + | 0.405658i | ||||
\(105\) | −0.170099 | + | 14.3015i | −0.0166000 | + | 1.39568i | ||||
\(106\) | −3.56398 | − | 6.17300i | −0.346165 | − | 0.599575i | ||||
\(107\) | 0.248359 | + | 0.926887i | 0.0240097 | + | 0.0896056i | 0.976891 | − | 0.213738i | \(-0.0685638\pi\) |
−0.952881 | + | 0.303343i | \(0.901897\pi\) | |||||||
\(108\) | −5.19611 | − | 0.0219109i | −0.499996 | − | 0.00210838i | ||||
\(109\) | 1.82117 | − | 5.00362i | 0.174436 | − | 0.479260i | −0.821407 | − | 0.570342i | \(-0.806810\pi\) |
0.995843 | + | 0.0910826i | \(0.0290327\pi\) | |||||||
\(110\) | 0.528171 | − | 0.548195i | 0.0503591 | − | 0.0522683i | ||||
\(111\) | −2.80960 | − | 1.12076i | −0.266676 | − | 0.106378i | ||||
\(112\) | 2.11815 | − | 3.02503i | 0.200147 | − | 0.285839i | ||||
\(113\) | −0.335624 | − | 0.335624i | −0.0315728 | − | 0.0315728i | 0.691144 | − | 0.722717i | \(-0.257107\pi\) |
−0.722717 | + | 0.691144i | \(0.757107\pi\) | |||||||
\(114\) | −4.49098 | + | 6.06886i | −0.420619 | + | 0.568401i | ||||
\(115\) | 18.1144 | − | 8.86074i | 1.68918 | − | 0.826268i | ||||
\(116\) | −3.31046 | + | 0.583724i | −0.307369 | + | 0.0541974i | ||||
\(117\) | 7.84409 | − | 9.86336i | 0.725187 | − | 0.911868i | ||||
\(118\) | 2.42948 | − | 5.21003i | 0.223652 | − | 0.479622i | ||||
\(119\) | 19.4674 | + | 7.08554i | 1.78457 | + | 0.649531i | ||||
\(120\) | 3.33083 | + | 1.97624i | 0.304062 | + | 0.180406i | ||||
\(121\) | −5.44205 | + | 9.42591i | −0.494732 | + | 0.856901i | ||||
\(122\) | −2.89572 | − | 0.775906i | −0.262166 | − | 0.0702472i | ||||
\(123\) | −4.64172 | − | 2.33933i | −0.418530 | − | 0.210931i | ||||
\(124\) | −4.81831 | − | 0.849597i | −0.432697 | − | 0.0762961i | ||||
\(125\) | 9.97918 | + | 5.04143i | 0.892565 | + | 0.450920i | ||||
\(126\) | −9.91419 | + | 4.94424i | −0.883226 | + | 0.440468i | ||||
\(127\) | 1.55905 | + | 17.8200i | 0.138343 | + | 1.58127i | 0.675225 | + | 0.737612i | \(0.264047\pi\) |
−0.536882 | + | 0.843658i | \(0.680398\pi\) | |||||||
\(128\) | −0.422618 | − | 0.906308i | −0.0373545 | − | 0.0801070i | ||||
\(129\) | 7.91447 | − | 8.86829i | 0.696830 | − | 0.780809i | ||||
\(130\) | −8.76537 | + | 3.37626i | −0.768774 | + | 0.296118i | ||||
\(131\) | 15.6976 | − | 2.76792i | 1.37151 | − | 0.241834i | 0.561124 | − | 0.827732i | \(-0.310369\pi\) |
0.810385 | + | 0.585898i | \(0.199258\pi\) | |||||||
\(132\) | 0.564642 | + | 0.169908i | 0.0491458 | + | 0.0147886i | ||||
\(133\) | −2.72721 | + | 15.8642i | −0.236479 | + | 1.37560i | ||||
\(134\) | −4.42377 | −0.382155 | ||||||||
\(135\) | −5.95361 | − | 9.97770i | −0.512405 | − | 0.858744i | ||||
\(136\) | 4.29744 | − | 3.60598i | 0.368502 | − | 0.309210i | ||||
\(137\) | 5.71910 | − | 12.2646i | 0.488615 | − | 1.04784i | −0.495221 | − | 0.868767i | \(-0.664913\pi\) |
0.983836 | − | 0.179072i | \(-0.0573094\pi\) | |||||||
\(138\) | 12.5161 | + | 9.34526i | 1.06544 | + | 0.795521i | ||||
\(139\) | −9.53660 | + | 11.3653i | −0.808884 | + | 0.963990i | −0.999845 | − | 0.0176072i | \(-0.994395\pi\) |
0.190961 | + | 0.981598i | \(0.438840\pi\) | |||||||
\(140\) | 8.23808 | + | 0.566561i | 0.696245 | + | 0.0478832i | ||||
\(141\) | −13.5683 | − | 8.39541i | −1.14266 | − | 0.707021i | ||||
\(142\) | −5.54189 | + | 3.88047i | −0.465065 | + | 0.325642i | ||||
\(143\) | −1.17145 | + | 0.820260i | −0.0979618 | + | 0.0685936i | ||||
\(144\) | −0.182853 | + | 2.99442i | −0.0152378 | + | 0.249535i | ||||
\(145\) | −4.93785 | − | 5.66719i | −0.410066 | − | 0.470635i | ||||
\(146\) | 1.75500 | − | 2.09152i | 0.145244 | − | 0.173096i | ||||
\(147\) | −6.87808 | + | 9.21180i | −0.567294 | + | 0.759777i | ||||
\(148\) | −0.738070 | + | 1.58280i | −0.0606689 | + | 0.130105i | ||||
\(149\) | −3.55744 | + | 2.98505i | −0.291437 | + | 0.244545i | −0.776769 | − | 0.629785i | \(-0.783143\pi\) |
0.485333 | + | 0.874330i | \(0.338699\pi\) | |||||||
\(150\) | 0.0580917 | + | 8.66006i | 0.00474317 | + | 0.707091i | ||||
\(151\) | −2.95211 | −0.240240 | −0.120120 | − | 0.992759i | \(-0.538328\pi\) | ||||
−0.120120 | + | 0.992759i | \(0.538328\pi\) | |||||||
\(152\) | 3.35109 | + | 2.78750i | 0.271809 | + | 0.226096i | ||||
\(153\) | −16.4915 | + | 3.35692i | −1.33326 | + | 0.271391i | ||||
\(154\) | 1.23809 | − | 0.218309i | 0.0997682 | − | 0.0175918i | ||||
\(155\) | −3.93236 | − | 10.2091i | −0.315855 | − | 0.820015i | ||||
\(156\) | −5.42847 | − | 4.84461i | −0.434625 | − | 0.387880i | ||||
\(157\) | −1.01369 | − | 2.17386i | −0.0809012 | − | 0.173493i | 0.861696 | − | 0.507425i | \(-0.169402\pi\) |
−0.942597 | + | 0.333931i | \(0.891625\pi\) | |||||||
\(158\) | −1.47166 | − | 16.8211i | −0.117079 | − | 1.33822i | ||||
\(159\) | 12.3403 | + | 0.376426i | 0.978647 | + | 0.0298525i | ||||
\(160\) | 1.24826 | − | 1.85522i | 0.0986840 | − | 0.146668i | ||||
\(161\) | 32.7974 | + | 5.78307i | 2.58480 | + | 0.455770i | ||||
\(162\) | 4.76778 | − | 7.63336i | 0.374592 | − | 0.599734i | ||||
\(163\) | −23.7318 | − | 6.35892i | −1.85882 | − | 0.498069i | −0.858917 | − | 0.512114i | \(-0.828862\pi\) |
−0.999901 | + | 0.0140454i | \(0.995529\pi\) | |||||||
\(164\) | −1.50050 | + | 2.59894i | −0.117169 | + | 0.202943i | ||||
\(165\) | 0.326083 | + | 1.27754i | 0.0253855 | + | 0.0994566i | ||||
\(166\) | −0.937795 | − | 0.341329i | −0.0727870 | − | 0.0264923i | ||||
\(167\) | −3.67317 | + | 7.87714i | −0.284239 | + | 0.609552i | −0.995645 | − | 0.0932295i | \(-0.970281\pi\) |
0.711406 | + | 0.702781i | \(0.248059\pi\) | |||||||
\(168\) | 2.52517 | + | 5.87671i | 0.194821 | + | 0.453398i | ||||
\(169\) | 4.57559 | − | 0.806800i | 0.351969 | − | 0.0620615i | ||||
\(170\) | 11.8654 | + | 4.07035i | 0.910034 | + | 0.312182i | ||||
\(171\) | −4.84593 | − | 12.1457i | −0.370578 | − | 0.928801i | ||||
\(172\) | −4.85258 | − | 4.85258i | −0.370006 | − | 0.370006i | ||||
\(173\) | −7.18338 | + | 10.2589i | −0.546143 | + | 0.779973i | −0.993433 | − | 0.114416i | \(-0.963500\pi\) |
0.447290 | + | 0.894389i | \(0.352389\pi\) | |||||||
\(174\) | 2.15725 | − | 5.40795i | 0.163541 | − | 0.409976i | ||||
\(175\) | 8.42042 | + | 16.4326i | 0.636524 | + | 1.24219i | ||||
\(176\) | 0.116436 | − | 0.319905i | 0.00877668 | − | 0.0241137i | ||||
\(177\) | 5.45972 | + | 8.32657i | 0.410378 | + | 0.625864i | ||||
\(178\) | 2.67122 | + | 9.96911i | 0.200216 | + | 0.747217i | ||||
\(179\) | −9.99794 | − | 17.3169i | −0.747281 | − | 1.29433i | −0.949121 | − | 0.314911i | \(-0.898025\pi\) |
0.201840 | − | 0.979419i | \(-0.435308\pi\) | |||||||
\(180\) | −5.94639 | + | 3.10491i | −0.443218 | + | 0.231427i | ||||
\(181\) | 3.44299 | − | 19.5261i | 0.255915 | − | 1.45137i | −0.537797 | − | 0.843074i | \(-0.680743\pi\) |
0.793713 | − | 0.608293i | \(-0.208145\pi\) | |||||||
\(182\) | −14.9842 | − | 4.01502i | −1.11071 | − | 0.297613i | ||||
\(183\) | 3.78186 | − | 3.55797i | 0.279563 | − | 0.263013i | ||||
\(184\) | 5.79682 | − | 6.90838i | 0.427347 | − | 0.509293i | ||||
\(185\) | −3.88325 | + | 0.412654i | −0.285502 | + | 0.0303389i | ||||
\(186\) | 5.64257 | − | 6.32258i | 0.413733 | − | 0.463594i | ||||
\(187\) | 1.90255 | + | 0.166451i | 0.139128 | + | 0.0121721i | ||||
\(188\) | −5.28378 | + | 7.54602i | −0.385359 | + | 0.550350i | ||||
\(189\) | 1.75301 | − | 19.1086i | 0.127512 | − | 1.38994i | ||||
\(190\) | −1.47239 | + | 9.63494i | −0.106818 | + | 0.698992i | ||||
\(191\) | 21.8472i | 1.58081i | 0.612585 | + | 0.790405i | \(0.290130\pi\) | ||||
−0.612585 | + | 0.790405i | \(0.709870\pi\) | |||||||
\(192\) | 1.72005 | + | 0.203497i | 0.124134 | + | 0.0146861i | ||||
\(193\) | 1.07578 | − | 12.2962i | 0.0774363 | − | 0.885101i | −0.853780 | − | 0.520634i | \(-0.825696\pi\) |
0.931216 | − | 0.364467i | \(-0.118749\pi\) | |||||||
\(194\) | −8.29881 | + | 3.02052i | −0.595820 | + | 0.216861i | ||||
\(195\) | 3.01550 | − | 15.9875i | 0.215944 | − | 1.14489i | ||||
\(196\) | 5.08454 | + | 4.26644i | 0.363182 | + | 0.304746i | ||||
\(197\) | −0.191342 | − | 0.714097i | −0.0136325 | − | 0.0508773i | 0.958775 | − | 0.284168i | \(-0.0917173\pi\) |
−0.972407 | + | 0.233291i | \(0.925051\pi\) | |||||||
\(198\) | −0.764848 | + | 0.676813i | −0.0543554 | + | 0.0480990i | ||||
\(199\) | −4.29717 | − | 0.757707i | −0.304618 | − | 0.0537124i | 0.0192497 | − | 0.999815i | \(-0.493872\pi\) |
−0.323868 | + | 0.946102i | \(0.604983\pi\) | |||||||
\(200\) | 4.99374 | + | 0.250216i | 0.353110 | + | 0.0176930i | ||||
\(201\) | 4.03163 | − | 6.51576i | 0.284369 | − | 0.459586i | ||||
\(202\) | −12.2539 | + | 3.28343i | −0.862184 | + | 0.231022i | ||||
\(203\) | −1.08193 | − | 12.3665i | −0.0759365 | − | 0.867959i | ||||
\(204\) | 1.39474 | + | 9.61602i | 0.0976511 | + | 0.673256i | ||||
\(205\) | −6.70928 | + | 0.124815i | −0.468597 | + | 0.00871744i | ||||
\(206\) | 3.61630 | + | 4.30974i | 0.251960 | + | 0.300274i | ||||
\(207\) | −25.1712 | + | 9.91806i | −1.74952 | + | 0.689353i | ||||
\(208\) | −2.97037 | + | 2.97037i | −0.205958 | + | 0.205958i | ||||
\(209\) | 0.135669 | + | 1.47771i | 0.00938445 | + | 0.102215i | ||||
\(210\) | −8.34232 | + | 11.6175i | −0.575675 | + | 0.801685i | ||||
\(211\) | −4.95569 | − | 28.1051i | −0.341164 | − | 1.93483i | −0.354838 | − | 0.934928i | \(-0.615464\pi\) |
0.0136742 | − | 0.999907i | \(-0.495647\pi\) | |||||||
\(212\) | 0.621243 | − | 7.10085i | 0.0426672 | − | 0.487688i | ||||
\(213\) | −0.664899 | − | 11.6991i | −0.0455581 | − | 0.801612i | ||||
\(214\) | −0.328197 | + | 0.901714i | −0.0224351 | + | 0.0616399i | ||||
\(215\) | 3.69525 | − | 14.8937i | 0.252014 | − | 1.01574i | ||||
\(216\) | −4.24383 | − | 2.99831i | −0.288756 | − | 0.204009i | ||||
\(217\) | 4.67633 | − | 17.4523i | 0.317450 | − | 1.18474i | ||||
\(218\) | 4.36177 | − | 3.05415i | 0.295417 | − | 0.206853i | ||||
\(219\) | 1.48117 | + | 4.49105i | 0.100088 | + | 0.303477i | ||||
\(220\) | 0.747084 | − | 0.146109i | 0.0503684 | − | 0.00985064i | ||||
\(221\) | −20.4085 | − | 11.7829i | −1.37283 | − | 0.792601i | ||||
\(222\) | −1.65865 | − | 2.52959i | −0.111321 | − | 0.169775i | ||||
\(223\) | 7.54367 | − | 3.51767i | 0.505161 | − | 0.235561i | −0.153294 | − | 0.988181i | \(-0.548988\pi\) |
0.658455 | + | 0.752620i | \(0.271210\pi\) | |||||||
\(224\) | 3.47018 | − | 1.26304i | 0.231861 | − | 0.0843905i | ||||
\(225\) | −12.8083 | − | 7.80684i | −0.853888 | − | 0.520456i | ||||
\(226\) | −0.0824210 | − | 0.467433i | −0.00548256 | − | 0.0310932i | ||||
\(227\) | −1.13786 | + | 1.13786i | −0.0755226 | + | 0.0755226i | −0.743859 | − | 0.668337i | \(-0.767007\pi\) |
0.668337 | + | 0.743859i | \(0.267007\pi\) | |||||||
\(228\) | −7.15975 | + | 2.39540i | −0.474166 | + | 0.158639i | ||||
\(229\) | 11.2058i | 0.740502i | 0.928932 | + | 0.370251i | \(0.120728\pi\) | ||||
−0.928932 | + | 0.370251i | \(0.879272\pi\) | |||||||
\(230\) | 19.9208 | + | 3.13170i | 1.31354 | + | 0.206498i | ||||
\(231\) | −0.806796 | + | 2.02254i | −0.0530833 | + | 0.133073i | ||||
\(232\) | −3.04658 | − | 1.42064i | −0.200018 | − | 0.0932699i | ||||
\(233\) | 1.43200 | + | 3.07094i | 0.0938136 | + | 0.201184i | 0.947615 | − | 0.319415i | \(-0.103486\pi\) |
−0.853801 | + | 0.520599i | \(0.825709\pi\) | |||||||
\(234\) | 12.0829 | − | 3.58040i | 0.789883 | − | 0.234058i | ||||
\(235\) | −20.5501 | − | 1.41330i | −1.34054 | − | 0.0921935i | ||||
\(236\) | 4.97846 | − | 2.87432i | 0.324070 | − | 0.187102i | ||||
\(237\) | 26.1170 | + | 13.1624i | 1.69648 | + | 0.854992i | ||||
\(238\) | 11.8826 | + | 16.9702i | 0.770237 | + | 1.10001i | ||||
\(239\) | 8.25386 | + | 14.2961i | 0.533898 | + | 0.924739i | 0.999216 | + | 0.0395948i | \(0.0126067\pi\) |
−0.465318 | + | 0.885144i | \(0.654060\pi\) | |||||||
\(240\) | 1.59493 | + | 3.52933i | 0.102952 | + | 0.227817i | ||||
\(241\) | 11.4025 | + | 9.56782i | 0.734498 | + | 0.616317i | 0.931354 | − | 0.364115i | \(-0.118629\pi\) |
−0.196856 | + | 0.980433i | \(0.563073\pi\) | |||||||
\(242\) | −9.86435 | + | 4.59982i | −0.634104 | + | 0.295688i | ||||
\(243\) | 6.89801 | + | 13.9792i | 0.442508 | + | 0.896765i | ||||
\(244\) | −1.92699 | − | 2.29650i | −0.123363 | − | 0.147018i | ||||
\(245\) | −2.30492 | + | 14.6616i | −0.147256 | + | 0.936696i | ||||
\(246\) | −2.46049 | − | 4.57865i | −0.156875 | − | 0.291924i | ||||
\(247\) | 6.18876 | − | 17.2330i | 0.393781 | − | 1.09651i | ||||
\(248\) | −3.45962 | − | 3.45962i | −0.219686 | − | 0.219686i | ||||
\(249\) | 1.35741 | − | 1.07020i | 0.0860223 | − | 0.0678214i | ||||
\(250\) | 5.28281 | + | 9.85352i | 0.334115 | + | 0.623191i | ||||
\(251\) | −9.97043 | − | 27.3935i | −0.629328 | − | 1.72906i | −0.682912 | − | 0.730500i | \(-0.739287\pi\) |
0.0535845 | − | 0.998563i | \(-0.482935\pi\) | |||||||
\(252\) | −10.9571 | − | 1.63646i | −0.690234 | − | 0.103087i | ||||
\(253\) | 3.05845 | − | 0.267580i | 0.192283 | − | 0.0168226i | ||||
\(254\) | −8.94404 | + | 15.4915i | −0.561199 | + | 0.972025i | ||||
\(255\) | −16.8088 | + | 13.7670i | −1.05261 | + | 0.862121i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 7.83612 | + | 11.1911i | 0.488804 | + | 0.698084i | 0.985468 | − | 0.169858i | \(-0.0543310\pi\) |
−0.496665 | + | 0.867943i | \(0.665442\pi\) | |||||||
\(258\) | 11.5698 | − | 2.72492i | 0.720304 | − | 0.169646i | ||||
\(259\) | −5.58529 | − | 3.22467i | −0.347053 | − | 0.200371i | ||||
\(260\) | −9.11672 | − | 2.26194i | −0.565395 | − | 0.140280i | ||||
\(261\) | 5.99934 | + | 8.10598i | 0.371350 | + | 0.501748i | ||||
\(262\) | 14.4464 | + | 6.73645i | 0.892499 | + | 0.416179i | ||||
\(263\) | 23.2166 | + | 2.03119i | 1.43160 | + | 0.125249i | 0.776415 | − | 0.630222i | \(-0.217036\pi\) |
0.655183 | + | 0.755470i | \(0.272592\pi\) | |||||||
\(264\) | 0.365073 | + | 0.463046i | 0.0224687 | + | 0.0284985i | ||||
\(265\) | 14.3175 | − | 7.00347i | 0.879518 | − | 0.430220i | ||||
\(266\) | −11.3333 | + | 11.4309i | −0.694891 | + | 0.700875i | ||||
\(267\) | −17.1179 | − | 5.15100i | −1.04760 | − | 0.315236i | ||||
\(268\) | −3.62374 | − | 2.53737i | −0.221355 | − | 0.154994i | ||||
\(269\) | 7.98246 | − | 6.69808i | 0.486699 | − | 0.408389i | −0.366142 | − | 0.930559i | \(-0.619322\pi\) |
0.852842 | + | 0.522170i | \(0.174877\pi\) | |||||||
\(270\) | 0.846064 | − | 11.5881i | 0.0514898 | − | 0.705230i | ||||
\(271\) | −9.06553 | − | 3.29958i | −0.550692 | − | 0.200435i | 0.0516621 | − | 0.998665i | \(-0.483548\pi\) |
−0.602354 | + | 0.798229i | \(0.705770\pi\) | |||||||
\(272\) | 5.58856 | − | 0.488936i | 0.338856 | − | 0.0296461i | ||||
\(273\) | 19.5697 | − | 18.4111i | 1.18441 | − | 1.11429i | ||||
\(274\) | 11.7195 | − | 6.76627i | 0.708002 | − | 0.408765i | ||||
\(275\) | 1.14188 | + | 1.26235i | 0.0688580 | + | 0.0761224i | ||||
\(276\) | 4.89237 | + | 14.8341i | 0.294486 | + | 0.892910i | ||||
\(277\) | −2.45442 | + | 9.16004i | −0.147472 | + | 0.550373i | 0.852161 | + | 0.523280i | \(0.175292\pi\) |
−0.999633 | + | 0.0270933i | \(0.991375\pi\) | |||||||
\(278\) | −14.3308 | + | 3.83992i | −0.859503 | + | 0.230303i | ||||
\(279\) | 4.17013 | + | 14.0731i | 0.249659 | + | 0.842532i | ||||
\(280\) | 6.42328 | + | 5.18927i | 0.383864 | + | 0.310118i | ||||
\(281\) | 8.43656 | + | 23.1793i | 0.503283 | + | 1.38276i | 0.888051 | + | 0.459746i | \(0.152059\pi\) |
−0.384768 | + | 0.923014i | \(0.625718\pi\) | |||||||
\(282\) | −6.29910 | − | 14.6596i | −0.375106 | − | 0.872965i | ||||
\(283\) | 23.0305 | + | 16.1261i | 1.36902 | + | 0.958599i | 0.999569 | + | 0.0293494i | \(0.00934353\pi\) |
0.369452 | + | 0.929250i | \(0.379545\pi\) | |||||||
\(284\) | −6.76540 | −0.401453 | ||||||||
\(285\) | −12.8494 | − | 10.9496i | −0.761133 | − | 0.648595i | ||||
\(286\) | −1.43008 | −0.0845624 | ||||||||
\(287\) | −9.07813 | − | 6.35658i | −0.535865 | − | 0.375217i | ||||
\(288\) | −1.86731 | + | 2.34801i | −0.110033 | + | 0.138358i | ||||
\(289\) | 4.94939 | + | 13.5983i | 0.291141 | + | 0.799903i | ||||
\(290\) | −0.794280 | − | 7.47453i | −0.0466417 | − | 0.438919i | ||||
\(291\) | 3.11426 | − | 14.9761i | 0.182561 | − | 0.877913i | ||||
\(292\) | 2.63726 | − | 0.706650i | 0.154334 | − | 0.0413536i | ||||
\(293\) | 3.60152 | − | 13.4410i | 0.210403 | − | 0.785234i | −0.777332 | − | 0.629091i | \(-0.783427\pi\) |
0.987734 | − | 0.156143i | \(-0.0499061\pi\) | |||||||
\(294\) | −10.9179 | + | 3.60076i | −0.636743 | + | 0.210001i | ||||
\(295\) | 11.2498 | + | 6.21900i | 0.654989 | + | 0.362084i | ||||
\(296\) | −1.51245 | + | 0.873211i | −0.0879091 | + | 0.0507543i | ||||
\(297\) | −0.299827 | − | 1.74336i | −0.0173977 | − | 0.101160i | ||||
\(298\) | −4.62624 | + | 0.404743i | −0.267991 | + | 0.0234461i | ||||
\(299\) | −35.5986 | − | 12.9568i | −2.05872 | − | 0.749314i | ||||
\(300\) | −4.91962 | + | 7.12723i | −0.284034 | + | 0.411491i | ||||
\(301\) | 19.4137 | − | 16.2900i | 1.11899 | − | 0.938941i | ||||
\(302\) | −2.41823 | − | 1.69326i | −0.139153 | − | 0.0974363i | ||||
\(303\) | 6.33156 | − | 21.0412i | 0.363738 | − | 1.20878i | ||||
\(304\) | 1.14621 | + | 4.20550i | 0.0657395 | + | 0.241202i | ||||
\(305\) | 2.17515 | − | 6.34073i | 0.124549 | − | 0.363069i | ||||
\(306\) | −15.4345 | − | 6.70933i | −0.882333 | − | 0.383547i | ||||
\(307\) | 7.14532 | + | 0.625135i | 0.407805 | + | 0.0356783i | 0.289213 | − | 0.957265i | \(-0.406606\pi\) |
0.118592 | + | 0.992943i | \(0.462162\pi\) | |||||||
\(308\) | 1.13940 | + | 0.531311i | 0.0649234 | + | 0.0302743i | ||||
\(309\) | −9.64354 | + | 1.39873i | −0.548602 | + | 0.0795709i | ||||
\(310\) | 2.63450 | − | 10.6183i | 0.149630 | − | 0.603080i | ||||
\(311\) | −12.7345 | − | 7.35228i | −0.722108 | − | 0.416910i | 0.0934198 | − | 0.995627i | \(-0.470220\pi\) |
−0.815528 | + | 0.578717i | \(0.803553\pi\) | |||||||
\(312\) | −1.66798 | − | 7.08212i | −0.0944309 | − | 0.400946i | ||||
\(313\) | 7.21166 | + | 10.2993i | 0.407627 | + | 0.582152i | 0.969506 | − | 0.245068i | \(-0.0788102\pi\) |
−0.561879 | + | 0.827220i | \(0.689921\pi\) | |||||||
\(314\) | 0.416511 | − | 2.36215i | 0.0235051 | − | 0.133304i | ||||
\(315\) | −9.50857 | − | 22.8751i | −0.535747 | − | 1.28887i | ||||
\(316\) | 8.44268 | − | 14.6231i | 0.474938 | − | 0.822616i | ||||
\(317\) | 16.4420 | − | 1.43849i | 0.923473 | − | 0.0807934i | 0.384508 | − | 0.923122i | \(-0.374371\pi\) |
0.538965 | + | 0.842328i | \(0.318816\pi\) | |||||||
\(318\) | 9.89264 | + | 7.38644i | 0.554752 | + | 0.414211i | ||||
\(319\) | −0.391403 | − | 1.07537i | −0.0219143 | − | 0.0602092i | ||||
\(320\) | 2.08663 | − | 0.803731i | 0.116646 | − | 0.0449299i | ||||
\(321\) | −1.02903 | − | 1.30518i | −0.0574347 | − | 0.0728483i | ||||
\(322\) | 23.5490 | + | 23.5490i | 1.31234 | + | 1.31234i | ||||
\(323\) | −21.1243 | + | 12.3172i | −1.17539 | + | 0.685347i | ||||
\(324\) | 8.28386 | − | 3.51820i | 0.460214 | − | 0.195455i | ||||
\(325\) | −6.18698 | − | 20.0718i | −0.343192 | − | 1.11338i | ||||
\(326\) | −15.7926 | − | 18.8209i | −0.874673 | − | 1.04239i | ||||
\(327\) | 0.523312 | + | 9.20786i | 0.0289392 | + | 0.509196i | ||||
\(328\) | −2.71983 | + | 1.26828i | −0.150178 | + | 0.0700289i | ||||
\(329\) | −26.0599 | − | 21.8669i | −1.43673 | − | 1.20556i | ||||
\(330\) | −0.465658 | + | 1.23354i | −0.0256336 | + | 0.0679039i | ||||
\(331\) | 13.3897 | + | 23.1917i | 0.735966 | + | 1.27473i | 0.954298 | + | 0.298856i | \(0.0966049\pi\) |
−0.218333 | + | 0.975874i | \(0.570062\pi\) | |||||||
\(332\) | −0.572418 | − | 0.817498i | −0.0314155 | − | 0.0448660i | ||||
\(333\) | 5.23746 | − | 0.137660i | 0.287011 | − | 0.00754370i | ||||
\(334\) | −7.52703 | + | 4.34573i | −0.411861 | + | 0.237788i | ||||
\(335\) | 0.678693 | − | 9.86853i | 0.0370810 | − | 0.539176i | ||||
\(336\) | −1.30224 | + | 6.26230i | −0.0710430 | + | 0.341636i | ||||
\(337\) | −2.04419 | − | 4.38378i | −0.111354 | − | 0.238800i | 0.842731 | − | 0.538335i | \(-0.180946\pi\) |
−0.954085 | + | 0.299535i | \(0.903169\pi\) | |||||||
\(338\) | 4.21087 | + | 1.96356i | 0.229041 | + | 0.106804i | ||||
\(339\) | 0.763596 | + | 0.304601i | 0.0414728 | + | 0.0165436i | ||||
\(340\) | 7.38490 | + | 10.1399i | 0.400502 | + | 0.549916i | ||||
\(341\) | − | 1.66563i | − | 0.0901988i | ||||||
\(342\) | 2.99691 | − | 12.7287i | 0.162054 | − | 0.688287i | ||||
\(343\) | 0.946843 | − | 0.946843i | 0.0511247 | − | 0.0511247i | ||||
\(344\) | −1.19168 | − | 6.75833i | −0.0642509 | − | 0.364385i | ||||
\(345\) | −22.7676 | + | 26.4871i | −1.22577 | + | 1.42602i | ||||
\(346\) | −11.7686 | + | 4.28341i | −0.632682 | + | 0.230277i | ||||
\(347\) | −7.63678 | + | 3.56109i | −0.409964 | + | 0.191169i | −0.616649 | − | 0.787238i | \(-0.711510\pi\) |
0.206685 | + | 0.978408i | \(0.433732\pi\) | |||||||
\(348\) | 4.86899 | − | 3.19259i | 0.261005 | − | 0.171141i | ||||
\(349\) | 24.5339 | + | 14.1646i | 1.31327 | + | 0.758215i | 0.982636 | − | 0.185545i | \(-0.0594050\pi\) |
0.330631 | + | 0.943760i | \(0.392738\pi\) | |||||||
\(350\) | −2.52777 | + | 18.2906i | −0.135115 | + | 0.977673i | ||||
\(351\) | −5.73827 | + | 21.0599i | −0.306286 | + | 1.12409i | ||||
\(352\) | 0.278869 | − | 0.195266i | 0.0148637 | − | 0.0104077i | ||||
\(353\) | 2.41598 | − | 9.01657i | 0.128590 | − | 0.479903i | −0.871352 | − | 0.490658i | \(-0.836757\pi\) |
0.999942 | + | 0.0107543i | \(0.00342325\pi\) | |||||||
\(354\) | −0.303584 | + | 9.95230i | −0.0161353 | + | 0.528959i | ||||
\(355\) | −7.80632 | − | 12.9582i | −0.414316 | − | 0.687749i | ||||
\(356\) | −3.52992 | + | 9.69837i | −0.187085 | + | 0.514012i | ||||
\(357\) | −35.8246 | + | 2.03603i | −1.89604 | + | 0.107758i | ||||
\(358\) | 1.74276 | − | 19.9198i | 0.0921075 | − | 1.05279i | ||||
\(359\) | 0.317352 | + | 1.79979i | 0.0167492 | + | 0.0949894i | 0.992036 | − | 0.125951i | \(-0.0401983\pi\) |
−0.975287 | + | 0.220941i | \(0.929087\pi\) | |||||||
\(360\) | −6.65190 | − | 0.867312i | −0.350586 | − | 0.0457113i | ||||
\(361\) | −12.3373 | − | 14.4496i | −0.649333 | − | 0.760505i | ||||
\(362\) | 14.0201 | − | 14.0201i | 0.736878 | − | 0.736878i | ||||
\(363\) | 2.21488 | − | 18.7213i | 0.116251 | − | 0.982611i | ||||
\(364\) | −9.97146 | − | 11.8835i | −0.522646 | − | 0.622866i | ||||
\(365\) | 4.39651 | + | 4.23592i | 0.230124 | + | 0.221718i | ||||
\(366\) | 5.13869 | − | 0.745331i | 0.268604 | − | 0.0389591i | ||||
\(367\) | 1.06923 | + | 12.2213i | 0.0558132 | + | 0.637948i | 0.971654 | + | 0.236407i | \(0.0759698\pi\) |
−0.915841 | + | 0.401541i | \(0.868475\pi\) | |||||||
\(368\) | 8.71096 | − | 2.33410i | 0.454090 | − | 0.121673i | ||||
\(369\) | 8.98626 | + | 0.548742i | 0.467806 | + | 0.0285664i | ||||
\(370\) | −3.41766 | − | 1.88932i | −0.177676 | − | 0.0982209i | ||||
\(371\) | 25.9229 | + | 4.57090i | 1.34585 | + | 0.237309i | ||||
\(372\) | 8.24861 | − | 1.94271i | 0.427670 | − | 0.100725i | ||||
\(373\) | −6.84273 | − | 25.5374i | −0.354303 | − | 1.32228i | −0.881359 | − | 0.472447i | \(-0.843371\pi\) |
0.527056 | − | 0.849830i | \(-0.323296\pi\) | |||||||
\(374\) | 1.46300 | + | 1.22760i | 0.0756500 | + | 0.0634779i | ||||
\(375\) | −19.3278 | − | 1.19903i | −0.998081 | − | 0.0619178i | ||||
\(376\) | −8.65644 | + | 3.15068i | −0.446422 | + | 0.162484i | ||||
\(377\) | −1.23072 | + | 14.0672i | −0.0633852 | + | 0.724496i | ||||
\(378\) | 12.3962 | − | 14.6473i | 0.637591 | − | 0.753377i | ||||
\(379\) | 3.38122i | 0.173682i | 0.996222 | + | 0.0868408i | \(0.0276772\pi\) | ||||
−0.996222 | + | 0.0868408i | \(0.972323\pi\) | |||||||
\(380\) | −6.73248 | + | 7.04795i | −0.345369 | + | 0.361552i | ||||
\(381\) | −14.6662 | − | 27.2920i | −0.751373 | − | 1.39821i | ||||
\(382\) | −12.5311 | + | 17.8962i | −0.641144 | + | 0.915649i | ||||
\(383\) | −30.9545 | − | 2.70817i | −1.58170 | − | 0.138381i | −0.737852 | − | 0.674963i | \(-0.764160\pi\) |
−0.843848 | + | 0.536582i | \(0.819715\pi\) | |||||||
\(384\) | 1.29227 | + | 1.15328i | 0.0659457 | + | 0.0588530i | ||||
\(385\) | 0.297055 | + | 2.79542i | 0.0151393 | + | 0.142468i | ||||
\(386\) | 7.93404 | − | 9.45542i | 0.403832 | − | 0.481268i | ||||
\(387\) | −6.53069 | + | 19.5245i | −0.331974 | + | 0.992487i | ||||
\(388\) | −8.53049 | − | 2.28574i | −0.433070 | − | 0.116041i | ||||
\(389\) | 4.26737 | − | 24.2014i | 0.216364 | − | 1.22706i | −0.662159 | − | 0.749363i | \(-0.730360\pi\) |
0.878524 | − | 0.477699i | \(-0.158529\pi\) | |||||||
\(390\) | 11.6402 | − | 11.3666i | 0.589424 | − | 0.575568i | ||||
\(391\) | 25.2958 | + | 43.8136i | 1.27926 | + | 2.21575i | ||||
\(392\) | 1.71789 | + | 6.41124i | 0.0867663 | + | 0.323816i | ||||
\(393\) | −23.0879 | + | 15.1387i | −1.16463 | + | 0.763646i | ||||
\(394\) | 0.252851 | − | 0.694703i | 0.0127385 | − | 0.0349986i | ||||
\(395\) | 37.7503 | − | 0.702280i | 1.89942 | − | 0.0353355i | ||||
\(396\) | −1.01473 | + | 0.115714i | −0.0509921 | + | 0.00581487i | ||||
\(397\) | −6.48617 | + | 9.26321i | −0.325532 | + | 0.464907i | −0.948244 | − | 0.317544i | \(-0.897142\pi\) |
0.622712 | + | 0.782451i | \(0.286031\pi\) | |||||||
\(398\) | −3.08543 | − | 3.08543i | −0.154659 | − | 0.154659i | ||||
\(399\) | −6.50788 | − | 27.1105i | −0.325801 | − | 1.35722i | ||||
\(400\) | 3.94711 | + | 3.06925i | 0.197356 | + | 0.153463i | ||||
\(401\) | −22.8263 | + | 4.02490i | −1.13989 | + | 0.200994i | −0.711559 | − | 0.702627i | \(-0.752010\pi\) |
−0.428334 | + | 0.903621i | \(0.640899\pi\) | |||||||
\(402\) | 7.03981 | − | 3.02495i | 0.351114 | − | 0.150871i | ||||
\(403\) | −8.68593 | + | 18.6270i | −0.432677 | + | 0.927879i | ||||
\(404\) | −11.9211 | − | 4.33894i | −0.593099 | − | 0.215870i | ||||
\(405\) | 16.2970 | + | 11.8071i | 0.809806 | + | 0.586698i | ||||
\(406\) | 6.20687 | − | 10.7506i | 0.308042 | − | 0.533544i | ||||
\(407\) | −0.574286 | − | 0.153879i | −0.0284663 | − | 0.00762752i | ||||
\(408\) | −4.37302 | + | 8.67697i | −0.216497 | + | 0.429574i | ||||
\(409\) | −35.2653 | − | 6.21823i | −1.74376 | − | 0.307471i | −0.791138 | − | 0.611637i | \(-0.790511\pi\) |
−0.952619 | + | 0.304166i | \(0.901622\pi\) | |||||||
\(410\) | −5.56751 | − | 3.74604i | −0.274960 | − | 0.185004i | ||||
\(411\) | −0.714649 | + | 23.4281i | −0.0352510 | + | 1.15562i | ||||
\(412\) | 0.490335 | + | 5.60455i | 0.0241571 | + | 0.276117i | ||||
\(413\) | 8.97178 | + | 19.2401i | 0.441473 | + | 0.946741i | ||||
\(414\) | −26.3078 | − | 6.31324i | −1.29296 | − | 0.310279i | ||||
\(415\) | 0.905313 | − | 2.03967i | 0.0444401 | − | 0.100123i | ||||
\(416\) | −4.13692 | + | 0.729450i | −0.202829 | + | 0.0357642i | ||||
\(417\) | 7.40465 | − | 24.6073i | 0.362607 | − | 1.20503i | ||||
\(418\) | −0.736446 | + | 1.28829i | −0.0360207 | + | 0.0630121i | ||||
\(419\) | 22.3532 | 1.09203 | 0.546014 | − | 0.837776i | \(-0.316145\pi\) | ||||
0.546014 | + | 0.837776i | \(0.316145\pi\) | |||||||
\(420\) | −13.4972 | + | 4.73155i | −0.658594 | + | 0.230876i | ||||
\(421\) | 2.14614 | − | 1.80083i | 0.104597 | − | 0.0877669i | −0.588990 | − | 0.808141i | \(-0.700474\pi\) |
0.693586 | + | 0.720374i | \(0.256030\pi\) | |||||||
\(422\) | 12.0610 | − | 25.8648i | 0.587118 | − | 1.25908i | ||||
\(423\) | 27.3328 | + | 4.08218i | 1.32897 | + | 0.198483i | ||||
\(424\) | 4.58177 | − | 5.46034i | 0.222510 | − | 0.265178i | ||||
\(425\) | −10.9005 | + | 25.8448i | −0.528753 | + | 1.25366i | ||||
\(426\) | 6.16570 | − | 9.96474i | 0.298729 | − | 0.482793i | ||||
\(427\) | 9.06866 | − | 6.34994i | 0.438863 | − | 0.307295i | ||||
\(428\) | −0.786045 | + | 0.550395i | −0.0379949 | + | 0.0266043i | ||||
\(429\) | 1.30331 | − | 2.10636i | 0.0629246 | − | 0.101696i | ||||
\(430\) | 11.5696 | − | 10.0807i | 0.557937 | − | 0.486132i | ||||
\(431\) | 11.0126 | − | 13.1243i | 0.530457 | − | 0.632174i | −0.432563 | − | 0.901604i | \(-0.642391\pi\) |
0.963020 | + | 0.269430i | \(0.0868351\pi\) | |||||||
\(432\) | −1.75658 | − | 4.89024i | −0.0845137 | − | 0.235282i | ||||
\(433\) | 0.821778 | − | 1.76231i | 0.0394921 | − | 0.0846911i | −0.885572 | − | 0.464502i | \(-0.846233\pi\) |
0.925064 | + | 0.379811i | \(0.124011\pi\) | |||||||
\(434\) | 13.8408 | − | 11.6138i | 0.664382 | − | 0.557483i | ||||
\(435\) | 11.7331 | + | 5.64207i | 0.562558 | + | 0.270517i | ||||
\(436\) | 5.32474 | 0.255009 | ||||||||
\(437\) | −30.0043 | + | 25.3966i | −1.43530 | + | 1.21489i | ||||
\(438\) | −1.36266 | + | 4.52842i | −0.0651103 | + | 0.216376i | ||||
\(439\) | 6.70671 | − | 1.18257i | 0.320094 | − | 0.0564411i | −0.0112929 | − | 0.999936i | \(-0.503595\pi\) |
0.331386 | + | 0.943495i | \(0.392484\pi\) | |||||||
\(440\) | 0.695780 | + | 0.308825i | 0.0331700 | + | 0.0147226i | ||||
\(441\) | 4.64652 | − | 19.3625i | 0.221263 | − | 0.922023i | ||||
\(442\) | −9.95931 | − | 21.3578i | −0.473716 | − | 1.01589i | ||||
\(443\) | 0.0902980 | + | 1.03211i | 0.00429019 | + | 0.0490370i | 0.998038 | − | 0.0626108i | \(-0.0199427\pi\) |
−0.993748 | + | 0.111648i | \(0.964387\pi\) | |||||||
\(444\) | 0.0922280 | − | 3.02348i | 0.00437695 | − | 0.143488i | ||||
\(445\) | −22.6489 | + | 4.42949i | −1.07366 | + | 0.209978i | ||||
\(446\) | 8.19706 | + | 1.44536i | 0.388142 | + | 0.0684399i | ||||
\(447\) | 3.62001 | − | 7.18284i | 0.171221 | − | 0.339737i | ||||
\(448\) | 3.56705 | + | 0.955789i | 0.168527 | + | 0.0451568i | ||||
\(449\) | −8.18537 | + | 14.1775i | −0.386292 | + | 0.669077i | −0.991947 | − | 0.126650i | \(-0.959577\pi\) |
0.605656 | + | 0.795727i | \(0.292911\pi\) | |||||||
\(450\) | −6.01414 | − | 13.7415i | −0.283509 | − | 0.647783i | ||||
\(451\) | −0.960035 | − | 0.349424i | −0.0452063 | − | 0.0164537i | ||||
\(452\) | 0.200593 | − | 0.430173i | 0.00943510 | − | 0.0202336i | ||||
\(453\) | 4.69787 | − | 2.01864i | 0.220725 | − | 0.0948439i | ||||
\(454\) | −1.58473 | + | 0.279431i | −0.0743752 | + | 0.0131144i | ||||
\(455\) | 11.2556 | − | 32.8109i | 0.527669 | − | 1.53820i | ||||
\(456\) | −7.23887 | − | 2.14446i | −0.338991 | − | 0.100424i | ||||
\(457\) | −19.5562 | − | 19.5562i | −0.914801 | − | 0.914801i | 0.0818443 | − | 0.996645i | \(-0.473919\pi\) |
−0.996645 | + | 0.0818443i | \(0.973919\pi\) | |||||||
\(458\) | −6.42740 | + | 9.17927i | −0.300332 | + | 0.428919i | ||||
\(459\) | 23.9485 | − | 16.6189i | 1.11782 | − | 0.775703i | ||||
\(460\) | 14.5219 | + | 13.9914i | 0.677085 | + | 0.652353i | ||||
\(461\) | −9.63162 | + | 26.4626i | −0.448589 | + | 1.23249i | 0.485117 | + | 0.874449i | \(0.338777\pi\) |
−0.933707 | + | 0.358039i | \(0.883445\pi\) | |||||||
\(462\) | −1.82097 | + | 1.19401i | −0.0847192 | + | 0.0555502i | ||||
\(463\) | 0.589273 | + | 2.19920i | 0.0273859 | + | 0.102205i | 0.978266 | − | 0.207354i | \(-0.0664852\pi\) |
−0.950880 | + | 0.309559i | \(0.899818\pi\) | |||||||
\(464\) | −1.68077 | − | 2.91117i | −0.0780276 | − | 0.135148i | ||||
\(465\) | 13.2387 | + | 13.5574i | 0.613931 | + | 0.628711i | ||||
\(466\) | −0.588391 | + | 3.33693i | −0.0272567 | + | 0.154580i | ||||
\(467\) | 4.98982 | + | 1.33702i | 0.230901 | + | 0.0618698i | 0.372414 | − | 0.928067i | \(-0.378530\pi\) |
−0.141513 | + | 0.989936i | \(0.545197\pi\) | |||||||
\(468\) | 11.9514 | + | 3.99757i | 0.552452 | + | 0.184788i | ||||
\(469\) | 10.5009 | − | 12.5145i | 0.484885 | − | 0.577864i | ||||
\(470\) | −16.0230 | − | 12.9448i | −0.739086 | − | 0.597097i | ||||
\(471\) | 3.09962 | + | 2.76624i | 0.142823 | + | 0.127462i | ||||
\(472\) | 5.72676 | + | 0.501027i | 0.263595 | + | 0.0230616i | ||||
\(473\) | 1.34003 | − | 1.91376i | 0.0616146 | − | 0.0879948i | ||||
\(474\) | 13.8441 | + | 25.7621i | 0.635881 | + | 1.18329i | ||||
\(475\) | −21.2677 | − | 4.76279i | −0.975830 | − | 0.218532i | ||||
\(476\) | 20.7167i | 0.949550i | ||||||||
\(477\) | −19.8952 | + | 7.83917i | −0.910939 | + | 0.358931i | ||||
\(478\) | −1.43874 | + | 16.4449i | −0.0658066 | + | 0.752173i | ||||
\(479\) | 4.80640 | − | 1.74939i | 0.219610 | − | 0.0799315i | −0.229872 | − | 0.973221i | \(-0.573831\pi\) |
0.449482 | + | 0.893289i | \(0.351609\pi\) | |||||||
\(480\) | −0.717850 | + | 3.80588i | −0.0327652 | + | 0.173714i | ||||
\(481\) | 5.61990 | + | 4.71565i | 0.256245 | + | 0.215015i | ||||
\(482\) | 3.85249 | + | 14.3777i | 0.175476 | + | 0.654886i | ||||
\(483\) | −56.1469 | + | 13.2237i | −2.55477 | + | 0.601701i | ||||
\(484\) | −10.7187 | − | 1.89000i | −0.487216 | − | 0.0859093i | ||||
\(485\) | −5.46497 | − | 18.9764i | −0.248152 | − | 0.861673i | ||||
\(486\) | −2.36761 | + | 15.4076i | −0.107397 | + | 0.698903i | ||||
\(487\) | 35.0165 | − | 9.38264i | 1.58675 | − | 0.425168i | 0.645742 | − | 0.763555i | \(-0.276548\pi\) |
0.941007 | + | 0.338387i | \(0.109881\pi\) | |||||||
\(488\) | −0.261281 | − | 2.98646i | −0.0118277 | − | 0.135191i | ||||
\(489\) | 42.1140 | − | 6.10834i | 1.90446 | − | 0.276229i | ||||
\(490\) | −10.2976 | + | 10.6880i | −0.465200 | + | 0.482836i | ||||
\(491\) | 0.209252 | + | 0.249377i | 0.00944342 | + | 0.0112542i | 0.770745 | − | 0.637143i | \(-0.219884\pi\) |
−0.761302 | + | 0.648397i | \(0.775440\pi\) | |||||||
\(492\) | 0.610694 | − | 5.16189i | 0.0275322 | − | 0.232716i | ||||
\(493\) | 13.3345 | − | 13.3345i | 0.600557 | − | 0.600557i | ||||
\(494\) | 14.9540 | − | 10.5667i | 0.672812 | − | 0.475420i | ||||
\(495\) | −1.39249 | − | 1.81006i | −0.0625878 | − | 0.0813561i | ||||
\(496\) | −0.849597 | − | 4.81831i | −0.0381480 | − | 0.216348i | ||||
\(497\) | 2.17749 | − | 24.8888i | 0.0976736 | − | 1.11641i | ||||
\(498\) | 1.72577 | − | 0.0980808i | 0.0773335 | − | 0.00439511i | ||||
\(499\) | −6.84179 | + | 18.7977i | −0.306281 | + | 0.841499i | 0.687093 | + | 0.726569i | \(0.258886\pi\) |
−0.993374 | + | 0.114929i | \(0.963336\pi\) | |||||||
\(500\) | −1.32432 | + | 11.1016i | −0.0592254 | + | 0.496480i | ||||
\(501\) | 0.458994 | − | 15.0471i | 0.0205063 | − | 0.672253i | ||||
\(502\) | 7.54498 | − | 28.1583i | 0.336749 | − | 1.25676i | ||||
\(503\) | −0.359113 | + | 0.251453i | −0.0160120 | + | 0.0112118i | −0.581555 | − | 0.813507i | \(-0.697556\pi\) |
0.565543 | + | 0.824719i | \(0.308667\pi\) | |||||||
\(504\) | −8.03692 | − | 7.62526i | −0.357993 | − | 0.339656i | ||||
\(505\) | −5.44468 | − | 27.8398i | −0.242285 | − | 1.23886i | ||||
\(506\) | 2.65882 | + | 1.53507i | 0.118199 | + | 0.0682421i | ||||
\(507\) | −6.72973 | + | 4.41267i | −0.298878 | + | 0.195974i | ||||
\(508\) | −16.2121 | + | 7.55983i | −0.719296 | + | 0.335413i | ||||
\(509\) | 0.353795 | − | 0.128771i | 0.0156817 | − | 0.00570767i | −0.334167 | − | 0.942514i | \(-0.608455\pi\) |
0.349849 | + | 0.936806i | \(0.386233\pi\) | |||||||
\(510\) | −21.6654 | + | 1.63609i | −0.959360 | + | 0.0724473i | ||||
\(511\) | 1.75083 | + | 9.92946i | 0.0774522 | + | 0.439253i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 16.0167 | + | 16.0145i | 0.707157 | + | 0.707057i | ||||
\(514\) | 13.6619i | 0.602599i | ||||||||
\(515\) | −10.1690 | + | 7.40604i | −0.448098 | + | 0.326349i | ||||
\(516\) | 11.0404 | + | 4.40404i | 0.486025 | + | 0.193877i | ||||
\(517\) | −2.84226 | − | 1.32537i | −0.125003 | − | 0.0582896i | ||||
\(518\) | −2.72561 | − | 5.84508i | −0.119756 | − | 0.256818i | ||||
\(519\) | 4.41635 | − | 21.2376i | 0.193856 | − | 0.932228i | ||||
\(520\) | −6.17058 | − | 7.08201i | −0.270598 | − | 0.310567i | ||||
\(521\) | −25.6690 | + | 14.8200i | −1.12458 | + | 0.649277i | −0.942567 | − | 0.334018i | \(-0.891595\pi\) |
−0.182015 | + | 0.983296i | \(0.558262\pi\) | |||||||
\(522\) | 0.264969 | + | 10.0811i | 0.0115974 | + | 0.441238i | ||||
\(523\) | 6.86361 | + | 9.80226i | 0.300125 | + | 0.428623i | 0.940683 | − | 0.339287i | \(-0.110186\pi\) |
−0.640558 | + | 0.767910i | \(0.721297\pi\) | |||||||
\(524\) | 7.96990 | + | 13.8043i | 0.348167 | + | 0.603042i | ||||
\(525\) | −24.6365 | − | 20.3924i | −1.07522 | − | 0.889997i | ||||
\(526\) | 17.8529 | + | 14.9804i | 0.778423 | + | 0.653175i | ||||
\(527\) | 24.8756 | − | 11.5997i | 1.08360 | − | 0.505291i | ||||
\(528\) | 0.0334578 | + | 0.588702i | 0.00145606 | + | 0.0256200i | ||||
\(529\) | 37.4931 | + | 44.6825i | 1.63013 | + | 1.94272i | ||||
\(530\) | 15.7452 | + | 2.47528i | 0.683930 | + | 0.107519i | ||||
\(531\) | −14.3820 | − | 9.51725i | −0.624128 | − | 0.413013i | ||||
\(532\) | −15.8402 | + | 2.86314i | −0.686761 | + | 0.124133i | ||||
\(533\) | 8.91408 | + | 8.91408i | 0.386112 | + | 0.386112i | ||||
\(534\) | −11.0677 | − | 14.0379i | −0.478946 | − | 0.607479i | ||||
\(535\) | −1.96119 | − | 0.870482i | −0.0847897 | − | 0.0376342i | ||||
\(536\) | −1.51302 | − | 4.15698i | −0.0653524 | − | 0.179554i | ||||
\(537\) | 27.7516 | + | 20.7210i | 1.19757 | + | 0.894175i | ||||
\(538\) | 10.3807 | − | 0.908194i | 0.447544 | − | 0.0391550i | ||||
\(539\) | −1.12980 | + | 1.95688i | −0.0486641 | + | 0.0842887i | ||||
\(540\) | 7.33972 | − | 9.00714i | 0.315851 | − | 0.387605i | ||||
\(541\) | −2.45885 | + | 13.9448i | −0.105714 | + | 0.599535i | 0.885219 | + | 0.465175i | \(0.154009\pi\) |
−0.990933 | + | 0.134359i | \(0.957102\pi\) | |||||||
\(542\) | −5.53348 | − | 7.90263i | −0.237683 | − | 0.339447i | ||||
\(543\) | 7.87284 | + | 33.4274i | 0.337856 | + | 1.43451i | ||||
\(544\) | 4.85832 | + | 2.80495i | 0.208299 | + | 0.120261i | ||||
\(545\) | 6.14400 | + | 10.1988i | 0.263180 | + | 0.436869i | ||||
\(546\) | 26.5908 | − | 3.85680i | 1.13798 | − | 0.165056i | ||||
\(547\) | 16.4815 | + | 7.68543i | 0.704696 | + | 0.328605i | 0.741720 | − | 0.670709i | \(-0.234010\pi\) |
−0.0370243 | + | 0.999314i | \(0.511788\pi\) | |||||||
\(548\) | 13.4810 | + | 1.17944i | 0.575881 | + | 0.0503831i | ||||
\(549\) | −3.58539 | + | 8.24803i | −0.153021 | + | 0.352017i | ||||
\(550\) | 0.211321 | + | 1.68901i | 0.00901078 | + | 0.0720196i | ||||
\(551\) | 12.0386 | + | 8.35283i | 0.512862 | + | 0.355843i | ||||
\(552\) | −4.50092 | + | 14.9576i | −0.191572 | + | 0.636636i | ||||
\(553\) | 51.0788 | + | 35.7658i | 2.17209 | + | 1.52091i | ||||
\(554\) | −7.26453 | + | 6.09566i | −0.308640 | + | 0.258980i | ||||
\(555\) | 5.89748 | − | 3.31203i | 0.250334 | − | 0.140588i | ||||
\(556\) | −13.9416 | − | 5.07432i | −0.591255 | − | 0.215199i | ||||
\(557\) | 31.7581 | − | 2.77847i | 1.34563 | − | 0.117728i | 0.608543 | − | 0.793521i | \(-0.291754\pi\) |
0.737091 | + | 0.675793i | \(0.236199\pi\) | |||||||
\(558\) | −4.65601 | + | 13.9199i | −0.197105 | + | 0.589275i | ||||
\(559\) | −24.9657 | + | 14.4140i | −1.05594 | + | 0.609646i | ||||
\(560\) | 2.28520 | + | 7.93504i | 0.0965672 | + | 0.335317i | ||||
\(561\) | −3.14145 | + | 1.03607i | −0.132632 | + | 0.0437427i | ||||
\(562\) | −6.38425 | + | 23.8264i | −0.269303 | + | 1.00505i | ||||
\(563\) | −13.5243 | + | 3.62381i | −0.569979 | + | 0.152725i | −0.532287 | − | 0.846564i | \(-0.678667\pi\) |
−0.0376922 | + | 0.999289i | \(0.512001\pi\) | |||||||
\(564\) | 3.24847 | − | 15.6214i | 0.136785 | − | 0.657781i | ||||
\(565\) | 1.05539 | − | 0.112151i | 0.0444007 | − | 0.00471824i | ||||
\(566\) | 9.61592 | + | 26.4195i | 0.404187 | + | 1.11049i | ||||
\(567\) | 10.2767 | + | 31.6073i | 0.431579 | + | 1.32738i | ||||
\(568\) | −5.54189 | − | 3.88047i | −0.232533 | − | 0.162821i | ||||
\(569\) | −26.5717 | −1.11394 | −0.556972 | − | 0.830531i | \(-0.688037\pi\) | ||||
−0.556972 | + | 0.830531i | \(0.688037\pi\) | |||||||
\(570\) | −4.24522 | − | 16.3395i | −0.177813 | − | 0.684385i | ||||
\(571\) | 6.05017 | 0.253192 | 0.126596 | − | 0.991954i | \(-0.459595\pi\) | ||||
0.126596 | + | 0.991954i | \(0.459595\pi\) | |||||||
\(572\) | −1.17145 | − | 0.820260i | −0.0489809 | − | 0.0342968i | ||||
\(573\) | −14.9390 | − | 34.7668i | −0.624086 | − | 1.45240i | ||||
\(574\) | −3.79039 | − | 10.4140i | −0.158208 | − | 0.434672i | ||||
\(575\) | −10.0424 | + | 43.9587i | −0.418798 | + | 1.83321i | ||||
\(576\) | −2.87638 | + | 0.852327i | −0.119849 | + | 0.0355136i | ||||
\(577\) | −31.3084 | + | 8.38906i | −1.30339 | + | 0.349241i | −0.842729 | − | 0.538338i | \(-0.819052\pi\) |
−0.460656 | + | 0.887579i | \(0.652386\pi\) | |||||||
\(578\) | −3.74539 | + | 13.9780i | −0.155788 | + | 0.581407i | ||||
\(579\) | 6.69613 | + | 20.3033i | 0.278281 | + | 0.843776i | ||||
\(580\) | 3.63658 | − | 6.57835i | 0.151001 | − | 0.273151i | ||||
\(581\) | 3.19167 | − | 1.84271i | 0.132413 | − | 0.0764486i | ||||
\(582\) | 11.1410 | − | 10.4814i | 0.461808 | − | 0.434468i | ||||
\(583\) | 2.41738 | − | 0.211493i | 0.100118 | − | 0.00875917i | ||||
\(584\) | 2.56563 | + | 0.933813i | 0.106167 | + | 0.0386415i | ||||
\(585\) | 6.13340 | + | 27.5038i | 0.253585 | + | 1.13714i | ||||
\(586\) | 10.6597 | − | 8.94451i | 0.440346 | − | 0.369494i | ||||
\(587\) | 30.7080 | + | 21.5020i | 1.26745 | + | 0.887481i | 0.997161 | − | 0.0752973i | \(-0.0239906\pi\) |
0.270293 | + | 0.962778i | \(0.412879\pi\) | |||||||
\(588\) | −11.0087 | − | 3.31266i | −0.453991 | − | 0.136612i | ||||
\(589\) | 12.3072 | + | 17.4170i | 0.507108 | + | 0.717657i | ||||
\(590\) | 5.64823 | + | 11.5469i | 0.232534 | + | 0.475379i | ||||
\(591\) | 0.792788 | + | 1.00555i | 0.0326110 | + | 0.0413626i | ||||
\(592\) | −1.73978 | − | 0.152211i | −0.0715043 | − | 0.00625582i | ||||
\(593\) | 2.90323 | + | 1.35380i | 0.119221 | + | 0.0555939i | 0.481314 | − | 0.876548i | \(-0.340160\pi\) |
−0.362092 | + | 0.932142i | \(0.617938\pi\) | |||||||
\(594\) | 0.754347 | − | 1.60005i | 0.0309512 | − | 0.0656509i | ||||
\(595\) | −39.6800 | + | 23.9042i | −1.62672 | + | 0.979977i | ||||
\(596\) | −4.02174 | − | 2.32195i | −0.164737 | − | 0.0951109i | ||||
\(597\) | 7.35646 | − | 1.73259i | 0.301080 | − | 0.0709104i | ||||
\(598\) | −21.7290 | − | 31.0322i | −0.888563 | − | 1.26900i | ||||
\(599\) | −6.85874 | + | 38.8979i | −0.280241 | + | 1.58932i | 0.441566 | + | 0.897229i | \(0.354423\pi\) |
−0.721807 | + | 0.692095i | \(0.756688\pi\) | |||||||
\(600\) | −8.11793 | + | 3.01650i | −0.331413 | + | 0.123148i | ||||
\(601\) | −9.62535 | + | 16.6716i | −0.392626 | + | 0.680049i | −0.992795 | − | 0.119825i | \(-0.961767\pi\) |
0.600169 | + | 0.799873i | \(0.295100\pi\) | |||||||
\(602\) | 25.2463 | − | 2.20877i | 1.02896 | − | 0.0900226i | ||||
\(603\) | −1.96034 | + | 13.1257i | −0.0798313 | + | 0.534521i | ||||
\(604\) | −1.00968 | − | 2.77408i | −0.0410834 | − | 0.112876i | ||||
\(605\) | −8.74789 | − | 22.7111i | −0.355652 | − | 0.923337i | ||||
\(606\) | 17.2552 | − | 13.6043i | 0.700946 | − | 0.552637i | ||||
\(607\) | −18.3043 | − | 18.3043i | −0.742947 | − | 0.742947i | 0.230197 | − | 0.973144i | \(-0.426063\pi\) |
−0.973144 | + | 0.230197i | \(0.926063\pi\) | |||||||
\(608\) | −1.47326 | + | 4.10238i | −0.0597484 | + | 0.166373i | ||||
\(609\) | 10.1779 | + | 18.9397i | 0.412429 | + | 0.767477i | ||||
\(610\) | 5.41867 | − | 3.94640i | 0.219396 | − | 0.159785i | ||||
\(611\) | 24.8740 | + | 29.6437i | 1.00630 | + | 1.19926i | ||||
\(612\) | −8.79491 | − | 14.3488i | −0.355513 | − | 0.580017i | ||||
\(613\) | −29.7537 | + | 13.8744i | −1.20174 | + | 0.560382i | −0.917256 | − | 0.398299i | \(-0.869601\pi\) |
−0.284486 | + | 0.958680i | \(0.591823\pi\) | |||||||
\(614\) | 5.49454 | + | 4.61047i | 0.221742 | + | 0.186063i | ||||
\(615\) | 10.5915 | − | 4.78639i | 0.427092 | − | 0.193006i | ||||
\(616\) | 0.628595 | + | 1.08876i | 0.0253268 | + | 0.0438673i | ||||
\(617\) | −19.2125 | − | 27.4383i | −0.773465 | − | 1.10462i | −0.991681 | − | 0.128722i | \(-0.958912\pi\) |
0.218215 | − | 0.975901i | \(-0.429977\pi\) | |||||||
\(618\) | −8.70181 | − | 4.38554i | −0.350038 | − | 0.176412i | ||||
\(619\) | 26.8288 | − | 15.4896i | 1.07834 | − | 0.622580i | 0.147892 | − | 0.989004i | \(-0.452751\pi\) |
0.930448 | + | 0.366424i | \(0.119418\pi\) | |||||||
\(620\) | 8.24848 | − | 7.18693i | 0.331267 | − | 0.288634i | ||||
\(621\) | 33.2746 | − | 32.9952i | 1.33526 | − | 1.32405i | ||||
\(622\) | −6.21442 | − | 13.3269i | −0.249175 | − | 0.534358i | ||||
\(623\) | −34.5425 | − | 16.1075i | −1.38392 | − | 0.645331i | ||||
\(624\) | 2.69580 | − | 6.75804i | 0.107919 | − | 0.270538i | ||||
\(625\) | −22.7917 | + | 10.2732i | −0.911668 | + | 0.410927i | ||||
\(626\) | 12.5731i | 0.502524i | ||||||||
\(627\) | −1.22635 | − | 2.25880i | −0.0489756 | − | 0.0902077i | ||||
\(628\) | 1.69606 | − | 1.69606i | 0.0676802 | − | 0.0676802i | ||||
\(629\) | −1.70128 | − | 9.64842i | −0.0678343 | − | 0.384708i | ||||
\(630\) | 5.33165 | − | 24.1921i | 0.212418 | − | 0.963835i | ||||
\(631\) | 35.3856 | − | 12.8793i | 1.40868 | − | 0.512717i | 0.477937 | − | 0.878394i | \(-0.341385\pi\) |
0.930742 | + | 0.365677i | \(0.119162\pi\) | |||||||
\(632\) | 15.3033 | − | 7.13606i | 0.608734 | − | 0.283857i | ||||
\(633\) | 27.1044 | + | 41.3366i | 1.07730 | + | 1.64298i | ||||
\(634\) | 14.2936 | + | 8.25239i | 0.567669 | + | 0.327744i | ||||
\(635\) | −33.1863 | − | 22.3291i | −1.31696 | − | 0.886101i | ||||
\(636\) | 3.86689 | + | 11.7248i | 0.153332 | + | 0.464919i | ||||
\(637\) | 22.8396 | − | 15.9924i | 0.904937 | − | 0.633643i | ||||
\(638\) | 0.296189 | − | 1.10539i | 0.0117262 | − | 0.0437629i | ||||
\(639\) | 9.05789 | + | 18.1629i | 0.358325 | + | 0.718512i | ||||
\(640\) | 2.17027 | + | 0.538463i | 0.0857873 | + | 0.0212846i | ||||
\(641\) | −6.20561 | + | 17.0498i | −0.245107 | + | 0.673426i | 0.754742 | + | 0.656022i | \(0.227762\pi\) |
−0.999849 | + | 0.0174035i | \(0.994460\pi\) | |||||||
\(642\) | −0.0943072 | − | 1.65937i | −0.00372201 | − | 0.0654901i | ||||
\(643\) | 4.04805 | − | 46.2694i | 0.159639 | − | 1.82469i | −0.320223 | − | 0.947342i | \(-0.603758\pi\) |
0.479862 | − | 0.877344i | \(-0.340687\pi\) | |||||||
\(644\) | 5.78307 | + | 32.7974i | 0.227885 | + | 1.29240i | ||||
\(645\) | 4.30372 | + | 26.2279i | 0.169459 | + | 1.03272i | ||||
\(646\) | −24.3689 | − | 2.02676i | −0.958781 | − | 0.0797418i | ||||
\(647\) | 26.4427 | − | 26.4427i | 1.03957 | − | 1.03957i | 0.0403862 | − | 0.999184i | \(-0.487141\pi\) |
0.999184 | − | 0.0403862i | \(-0.0128588\pi\) | |||||||
\(648\) | 8.80369 | + | 1.86948i | 0.345842 | + | 0.0734403i | ||||
\(649\) | 1.25796 | + | 1.49918i | 0.0493793 | + | 0.0588480i | ||||
\(650\) | 6.44462 | − | 19.9905i | 0.252779 | − | 0.784093i | ||||
\(651\) | 4.49206 | + | 30.9705i | 0.176058 | + | 1.21383i | ||||
\(652\) | −2.14133 | − | 24.4755i | −0.0838608 | − | 0.958534i | ||||
\(653\) | 38.3036 | − | 10.2634i | 1.49894 | − | 0.401639i | 0.586193 | − | 0.810171i | \(-0.300626\pi\) |
0.912744 | + | 0.408532i | \(0.133959\pi\) | |||||||
\(654\) | −4.85274 | + | 7.84280i | −0.189757 | + | 0.306678i | ||||
\(655\) | −17.2440 | + | 31.1934i | −0.673779 | + | 1.21883i | ||||
\(656\) | −2.95541 | − | 0.521118i | −0.115389 | − | 0.0203463i | ||||
\(657\) | −5.42803 | − | 6.13406i | −0.211768 | − | 0.239313i | ||||
\(658\) | −8.80471 | − | 32.8596i | −0.343244 | − | 1.28100i | ||||
\(659\) | −7.83596 | − | 6.57515i | −0.305246 | − | 0.256131i | 0.477278 | − | 0.878752i | \(-0.341623\pi\) |
−0.782524 | + | 0.622621i | \(0.786068\pi\) | |||||||
\(660\) | −1.08897 | + | 0.743363i | −0.0423882 | + | 0.0289354i | ||||
\(661\) | −21.9995 | + | 8.00717i | −0.855682 | + | 0.311443i | −0.732355 | − | 0.680923i | \(-0.761579\pi\) |
−0.123327 | + | 0.992366i | \(0.539356\pi\) | |||||||
\(662\) | −2.33398 | + | 26.6775i | −0.0907128 | + | 1.03685i | ||||
\(663\) | 40.5344 | + | 4.79555i | 1.57422 | + | 0.186244i | ||||
\(664\) | − | 0.997981i | − | 0.0387292i | ||||||
\(665\) | −23.7614 | − | 27.0361i | −0.921426 | − | 1.04842i | ||||
\(666\) | 4.36923 | + | 2.89132i | 0.169304 | + | 0.112036i | ||||
\(667\) | 17.3880 | − | 24.8327i | 0.673268 | − | 0.961526i | ||||
\(668\) | −8.65839 | − | 0.757511i | −0.335003 | − | 0.0293090i | ||||
\(669\) | −9.59933 | + | 10.7562i | −0.371131 | + | 0.415859i | ||||
\(670\) | 6.21631 | − | 7.69455i | 0.240157 | − | 0.297266i | ||||
\(671\) | 0.656017 | − | 0.781811i | 0.0253253 | − | 0.0301815i | ||||
\(672\) | −4.65864 | + | 4.38284i | −0.179711 | + | 0.169072i | ||||
\(673\) | 15.7944 | + | 4.23210i | 0.608830 | + | 0.163135i | 0.550045 | − | 0.835135i | \(-0.314611\pi\) |
0.0587852 | + | 0.998271i | \(0.481277\pi\) | |||||||
\(674\) | 0.839931 | − | 4.76348i | 0.0323529 | − | 0.183483i | ||||
\(675\) | 25.7209 | + | 3.66524i | 0.989999 | + | 0.141075i | ||||
\(676\) | 2.32309 | + | 4.02371i | 0.0893495 | + | 0.154758i | ||||
\(677\) | 6.02198 | + | 22.4743i | 0.231443 | + | 0.863758i | 0.979720 | + | 0.200372i | \(0.0642149\pi\) |
−0.748277 | + | 0.663387i | \(0.769118\pi\) | |||||||
\(678\) | 0.450789 | + | 0.687495i | 0.0173125 | + | 0.0264031i | ||||
\(679\) | 11.1544 | − | 30.6466i | 0.428068 | − | 1.17611i | ||||
\(680\) | 0.233322 | + | 12.5420i | 0.00894749 | + | 0.480962i | ||||
\(681\) | 1.03268 | − | 2.58881i | 0.0395725 | − | 0.0992035i | ||||
\(682\) | 0.955365 | − | 1.36440i | 0.0365828 | − | 0.0522457i | ||||
\(683\) | −11.3200 | − | 11.3200i | −0.433148 | − | 0.433148i | 0.456550 | − | 0.889698i | \(-0.349085\pi\) |
−0.889698 | + | 0.456550i | \(0.849085\pi\) | |||||||
\(684\) | 9.75578 | − | 8.70775i | 0.373021 | − | 0.332949i | ||||
\(685\) | 13.2962 | + | 27.1820i | 0.508021 | + | 1.03857i | ||||
\(686\) | 1.31870 | − | 0.232522i | 0.0503480 | − | 0.00887772i | ||||
\(687\) | −7.66248 | − | 17.8325i | −0.292342 | − | 0.680352i | ||||
\(688\) | 2.90026 | − | 6.21962i | 0.110571 | − | 0.237121i | ||||
\(689\) | −28.1369 | − | 10.2410i | −1.07193 | − | 0.390151i | ||||
\(690\) | −33.8425 | + | 8.63803i | −1.28836 | + | 0.328844i | ||||
\(691\) | 5.80549 | − | 10.0554i | 0.220851 | − | 0.382526i | −0.734215 | − | 0.678917i | \(-0.762450\pi\) |
0.955067 | + | 0.296391i | \(0.0957831\pi\) | |||||||
\(692\) | −12.0971 | − | 3.24141i | −0.459863 | − | 0.123220i | ||||
\(693\) | −0.0990966 | − | 3.77027i | −0.00376437 | − | 0.143221i | ||||
\(694\) | −8.29825 | − | 1.46320i | −0.314997 | − | 0.0555425i | ||||
\(695\) | −6.36747 | − | 32.5582i | −0.241532 | − | 1.23500i | ||||
\(696\) | 5.81963 | + | 0.177521i | 0.220593 | + | 0.00672893i | ||||
\(697\) | −1.46730 | − | 16.7713i | −0.0555778 | − | 0.635257i | ||||
\(698\) | 11.9725 | + | 25.6750i | 0.453164 | + | 0.971814i | ||||
\(699\) | −4.37872 | − | 3.90777i | −0.165618 | − | 0.147806i | ||||
\(700\) | −12.5617 | + | 13.5329i | −0.474787 | + | 0.511496i | ||||
\(701\) | −39.4214 | + | 6.95105i | −1.48892 | + | 0.262537i | −0.858138 | − | 0.513419i | \(-0.828379\pi\) |
−0.630786 | + | 0.775957i | \(0.717267\pi\) | |||||||
\(702\) | −16.7800 | + | 13.9599i | −0.633319 | + | 0.526883i | ||||
\(703\) | 7.14216 | − | 2.63426i | 0.269372 | − | 0.0993532i | ||||
\(704\) | 0.340436 | 0.0128307 | ||||||||
\(705\) | 33.6690 | − | 11.8030i | 1.26805 | − | 0.444525i | ||||
\(706\) | 7.15075 | − | 6.00019i | 0.269122 | − | 0.225820i | ||||
\(707\) | 19.7991 | − | 42.4594i | 0.744623 | − | 1.59685i | ||||
\(708\) | −5.95708 | + | 7.97832i | −0.223881 | + | 0.299844i | ||||
\(709\) | −7.58824 | + | 9.04331i | −0.284982 | + | 0.339629i | −0.889477 | − | 0.456981i | \(-0.848931\pi\) |
0.604494 | + | 0.796610i | \(0.293375\pi\) | |||||||
\(710\) | 1.03795 | − | 15.0922i | 0.0389534 | − | 0.566402i | ||||
\(711\) | −50.5619 | − | 3.08754i | −1.89622 | − | 0.115792i | ||||
\(712\) | −8.45429 | + | 5.91976i | −0.316838 | + | 0.221852i | ||||
\(713\) | 36.1435 | − | 25.3079i | 1.35358 | − | 0.947789i | ||||
\(714\) | −30.5136 | − | 18.8804i | −1.14194 | − | 0.706580i | ||||
\(715\) | 0.219402 | − | 3.19022i | 0.00820519 | − | 0.119308i | ||||
\(716\) | 12.8531 | − | 15.3177i | 0.480343 | − | 0.572451i | ||||
\(717\) | −22.9105 | − | 17.1063i | −0.855607 | − | 0.638847i | ||||
\(718\) | −0.772359 | + | 1.65633i | −0.0288242 | + | 0.0618136i | ||||
\(719\) | −13.3769 | + | 11.2245i | −0.498874 | + | 0.418605i | −0.857194 | − | 0.514994i | \(-0.827794\pi\) |
0.358320 | + | 0.933599i | \(0.383350\pi\) | |||||||
\(720\) | −4.95145 | − | 4.52583i | −0.184530 | − | 0.168668i | ||||
\(721\) | −20.7760 | −0.773740 | ||||||||
\(722\) | −1.81820 | − | 18.9128i | −0.0676663 | − | 0.703862i | ||||
\(723\) | −24.6879 | − | 7.42889i | −0.918152 | − | 0.276283i | ||||
\(724\) | 19.5261 | − | 3.44299i | 0.725684 | − | 0.127958i | ||||
\(725\) | 16.7960 | − | 0.625139i | 0.623789 | − | 0.0232171i | ||||
\(726\) | 12.5524 | − | 14.0652i | 0.465863 | − | 0.522007i | ||||
\(727\) | −10.0734 | − | 21.6026i | −0.373604 | − | 0.801195i | −0.999769 | − | 0.0215050i | \(-0.993154\pi\) |
0.626165 | − | 0.779690i | \(-0.284624\pi\) | |||||||
\(728\) | −1.35203 | − | 15.4538i | −0.0501097 | − | 0.572756i | ||||
\(729\) | −20.5361 | − | 17.5291i | −0.760596 | − | 0.649225i | ||||
\(730\) | 1.17179 | + | 5.99160i | 0.0433698 | + | 0.221759i | ||||
\(731\) | 37.9136 | + | 6.68519i | 1.40229 | + | 0.247261i | ||||
\(732\) | 4.63687 | + | 2.33689i | 0.171384 | + | 0.0863740i | ||||
\(733\) | −9.65135 | − | 2.58607i | −0.356481 | − | 0.0955188i | 0.0761340 | − | 0.997098i | \(-0.475742\pi\) |
−0.432615 | + | 0.901579i | \(0.642409\pi\) | |||||||
\(734\) | −6.13401 | + | 10.6244i | −0.226410 | + | 0.392154i | ||||
\(735\) | −6.35756 | − | 24.9080i | −0.234502 | − | 0.918745i | ||||
\(736\) | 8.47438 | + | 3.08442i | 0.312370 | + | 0.113693i | ||||
\(737\) | 0.636467 | − | 1.36491i | 0.0234446 | − | 0.0502770i | ||||
\(738\) | 7.04637 | + | 5.60381i | 0.259381 | + | 0.206279i | ||||
\(739\) | −30.3922 | + | 5.35897i | −1.11800 | + | 0.197133i | −0.701961 | − | 0.712215i | \(-0.747692\pi\) |
−0.416036 | + | 0.909348i | \(0.636581\pi\) | |||||||
\(740\) | −1.71592 | − | 3.50793i | −0.0630784 | − | 0.128954i | ||||
\(741\) | 1.93529 | + | 31.6558i | 0.0710946 | + | 1.16290i | ||||
\(742\) | 18.6130 | + | 18.6130i | 0.683305 | + | 0.683305i | ||||
\(743\) | −1.51702 | + | 2.16652i | −0.0556539 | + | 0.0794820i | −0.846014 | − | 0.533160i | \(-0.821004\pi\) |
0.790360 | + | 0.612642i | \(0.209893\pi\) | |||||||
\(744\) | 7.87116 | + | 3.13983i | 0.288571 | + | 0.115112i | ||||
\(745\) | −0.193145 | − | 10.3823i | −0.00707629 | − | 0.380378i | ||||
\(746\) | 9.04242 | − | 24.8439i | 0.331067 | − | 0.909598i | ||||
\(747\) | −1.42833 | + | 2.63127i | −0.0522598 | + | 0.0962730i | ||||
\(748\) | 0.494296 | + | 1.84474i | 0.0180733 | + | 0.0674503i | ||||
\(749\) | −1.77182 | − | 3.06888i | −0.0647408 | − | 0.112134i | ||||
\(750\) | −15.1446 | − | 12.0681i | −0.553004 | − | 0.440666i | ||||
\(751\) | −7.00962 | + | 39.7536i | −0.255785 | + | 1.45063i | 0.538265 | + | 0.842775i | \(0.319080\pi\) |
−0.794050 | + | 0.607852i | \(0.792031\pi\) | |||||||
\(752\) | −8.89810 | − | 2.38424i | −0.324480 | − | 0.0869442i | ||||
\(753\) | 34.5981 | + | 36.7752i | 1.26082 | + | 1.34016i | ||||
\(754\) | −9.07674 | + | 10.8172i | −0.330555 | + | 0.393940i | ||||
\(755\) | 4.14833 | − | 5.13480i | 0.150973 | − | 0.186875i | ||||
\(756\) | 18.5557 | − | 4.88822i | 0.674865 | − | 0.177783i | ||||
\(757\) | −21.3102 | − | 1.86440i | −0.774534 | − | 0.0677629i | −0.306966 | − | 0.951720i | \(-0.599314\pi\) |
−0.467567 | + | 0.883957i | \(0.654869\pi\) | |||||||
\(758\) | −1.93939 | + | 2.76973i | −0.0704418 | + | 0.100601i | ||||
\(759\) | −4.68413 | + | 2.51717i | −0.170023 | + | 0.0913674i | ||||
\(760\) | −9.55747 | + | 1.91175i | −0.346686 | + | 0.0693465i | ||||
\(761\) | − | 0.522080i | − | 0.0189254i | −0.999955 | − | 0.00946269i | \(-0.996988\pi\) | ||
0.999955 | − | 0.00946269i | \(-0.00301211\pi\) | |||||||
\(762\) | 3.64016 | − | 30.7685i | 0.131869 | − | 1.11462i | ||||
\(763\) | −1.71380 | + | 19.5888i | −0.0620438 | + | 0.709163i | ||||
\(764\) | −20.5297 | + | 7.47219i | −0.742737 | + | 0.270334i | ||||
\(765\) | 17.3351 | − | 33.4020i | 0.626753 | − | 1.20765i | ||||
\(766\) | −23.8031 | − | 19.9732i | −0.860041 | − | 0.721660i | ||||
\(767\) | −6.25009 | − | 23.3257i | −0.225678 | − | 0.842240i | ||||
\(768\) | 0.397069 | + | 1.68592i | 0.0143280 | + | 0.0608355i | ||||
\(769\) | −20.7375 | − | 3.65658i | −0.747813 | − | 0.131860i | −0.213261 | − | 0.976995i | \(-0.568409\pi\) |
−0.534552 | + | 0.845136i | \(0.679520\pi\) | |||||||
\(770\) | −1.36006 | + | 2.46026i | −0.0490130 | + | 0.0886616i | ||||
\(771\) | −20.1225 | − | 12.4508i | −0.724695 | − | 0.448406i | ||||
\(772\) | 11.9226 | − | 3.19465i | 0.429104 | − | 0.114978i | ||||
\(773\) | −1.84853 | − | 21.1287i | −0.0664869 | − | 0.759948i | −0.954125 | − | 0.299407i | \(-0.903211\pi\) |
0.887639 | − | 0.460541i | \(-0.152345\pi\) | |||||||
\(774\) | −16.5484 | + | 12.2477i | −0.594821 | + | 0.440234i | ||||
\(775\) | 23.2832 | + | 7.50611i | 0.836356 | + | 0.269627i | ||||
\(776\) | −5.67672 | − | 6.76525i | −0.203782 | − | 0.242858i | ||||
\(777\) | 11.0932 | + | 1.31242i | 0.397967 | + | 0.0470827i | ||||
\(778\) | 17.3770 | − | 17.3770i | 0.622996 | − | 0.622996i | ||||
\(779\) | 12.6207 | − | 3.43977i | 0.452184 | − | 0.123243i | ||||
\(780\) | 16.0547 | − | 2.63440i | 0.574850 | − | 0.0943265i | ||||
\(781\) | −0.399944 | − | 2.26819i | −0.0143111 | − | 0.0811623i | ||||
\(782\) | −4.40934 | + | 50.3990i | −0.157678 | + | 1.80227i | ||||
\(783\) | −15.0899 | − | 8.79722i | −0.539270 | − | 0.314387i | ||||
\(784\) | −2.27012 | + | 6.23712i | −0.0810759 | + | 0.222754i | ||||
\(785\) | 5.20559 | + | 1.29155i | 0.185795 | + | 0.0460975i | ||||
\(786\) | −27.5957 | − | 0.841775i | −0.984306 | − | 0.0300251i | ||||
\(787\) | 5.09595 | − | 19.0183i | 0.181651 | − | 0.677930i | −0.813672 | − | 0.581324i | \(-0.802535\pi\) |
0.995323 | − | 0.0966058i | \(-0.0307986\pi\) | |||||||
\(788\) | 0.605589 | − | 0.424038i | 0.0215732 | − | 0.0151057i | ||||
\(789\) | −38.3349 | + | 12.6430i | −1.36476 | + | 0.450104i | ||||
\(790\) | 31.3260 | + | 21.0774i | 1.11453 | + | 0.749900i | ||||
\(791\) | 1.51797 | + | 0.876402i | 0.0539729 | + | 0.0311613i | ||||
\(792\) | −0.897590 | − | 0.487238i | −0.0318945 | − | 0.0173132i | ||||
\(793\) | −11.4134 | + | 5.32214i | −0.405300 | + | 0.188995i | ||||
\(794\) | −10.6263 | + | 3.86767i | −0.377114 | + | 0.137258i | ||||
\(795\) | −17.9954 | + | 20.9353i | −0.638230 | + | 0.742498i | ||||
\(796\) | −0.757707 | − | 4.29717i | −0.0268562 | − | 0.152309i | ||||
\(797\) | −4.02450 | + | 4.02450i | −0.142555 | + | 0.142555i | −0.774783 | − | 0.632228i | \(-0.782141\pi\) |
0.632228 | + | 0.774783i | \(0.282141\pi\) | |||||||
\(798\) | 10.2190 | − | 25.9404i | 0.361749 | − | 0.918280i | ||||
\(799\) | − | 51.6784i | − | 1.82825i | ||||||
\(800\) | 1.47283 | + | 4.77816i | 0.0520725 | + | 0.168933i | ||||
\(801\) | 30.7630 | − | 3.50804i | 1.08696 | − | 0.123951i | ||||
\(802\) | −21.0068 | − | 9.79564i | −0.741777 | − | 0.345896i | ||||
\(803\) | 0.392818 | + | 0.842402i | 0.0138623 | + | 0.0297277i | ||||
\(804\) | 7.50171 | + | 1.55998i | 0.264565 | + | 0.0550161i | ||||
\(805\) | −56.1460 | + | 48.9203i | −1.97889 | + | 1.72421i | ||||
\(806\) | −17.7991 | + | 10.2763i | −0.626948 | + | 0.361968i | ||||
\(807\) | −8.12286 | + | 16.1174i | −0.285938 | + | 0.567360i | ||||
\(808\) | −7.27651 | − | 10.3919i | −0.255987 | − | 0.365587i | ||||
\(809\) | −2.34621 | − | 4.06375i | −0.0824882 | − | 0.142874i | 0.821830 | − | 0.569733i | \(-0.192953\pi\) |
−0.904318 | + | 0.426859i | \(0.859620\pi\) | |||||||
\(810\) | 6.57749 | + | 19.0194i | 0.231109 | + | 0.668273i | ||||
\(811\) | 28.8006 | + | 24.1665i | 1.01132 | + | 0.848602i | 0.988513 | − | 0.151138i | \(-0.0482938\pi\) |
0.0228116 | + | 0.999740i | \(0.492738\pi\) | |||||||
\(812\) | 11.2507 | − | 5.24628i | 0.394821 | − | 0.184108i | ||||
\(813\) | 16.6828 | − | 0.948133i | 0.585090 | − | 0.0332525i | ||||
\(814\) | −0.382166 | − | 0.455447i | −0.0133949 | − | 0.0159634i | ||||
\(815\) | 44.4086 | − | 32.3427i | 1.55557 | − | 1.13291i | ||||
\(816\) | −8.55908 | + | 4.59950i | −0.299628 | + | 0.161015i | ||||
\(817\) | 0.128250 | + | 29.9131i | 0.00448691 | + | 1.04653i | ||||
\(818\) | −25.3210 | − | 25.3210i | −0.885329 | − | 0.885329i | ||||
\(819\) | −18.5530 | + | 42.6804i | −0.648295 | + | 1.49137i | ||||
\(820\) | −2.41200 | − | 6.26197i | −0.0842306 | − | 0.218678i | ||||
\(821\) | −4.75159 | − | 13.0549i | −0.165832 | − | 0.455619i | 0.828745 | − | 0.559627i | \(-0.189055\pi\) |
−0.994576 | + | 0.104008i | \(0.966833\pi\) | |||||||
\(822\) | −14.0232 | + | 18.7813i | −0.489116 | + | 0.655073i | ||||
\(823\) | −1.59195 | + | 0.139278i | −0.0554920 | + | 0.00485492i | −0.114868 | − | 0.993381i | \(-0.536644\pi\) |
0.0593759 | + | 0.998236i | \(0.481089\pi\) | |||||||
\(824\) | −2.81298 | + | 4.87223i | −0.0979949 | + | 0.169732i | ||||
\(825\) | −2.68033 | − | 1.22804i | −0.0933171 | − | 0.0427548i | ||||
\(826\) | −3.68639 | + | 20.9065i | −0.128266 | + | 0.727431i | ||||
\(827\) | −1.23029 | − | 1.75703i | −0.0427813 | − | 0.0610981i | 0.797192 | − | 0.603726i | \(-0.206318\pi\) |
−0.839973 | + | 0.542628i | \(0.817429\pi\) | |||||||
\(828\) | −17.9290 | − | 20.2611i | −0.623076 | − | 0.704121i | ||||
\(829\) | −15.7335 | − | 9.08377i | −0.546449 | − | 0.315492i | 0.201240 | − | 0.979542i | \(-0.435503\pi\) |
−0.747688 | + | 0.664050i | \(0.768836\pi\) | |||||||
\(830\) | 1.91149 | − | 1.15153i | 0.0663489 | − | 0.0399702i | ||||
\(831\) | −2.35771 | − | 16.2552i | −0.0817880 | − | 0.563888i | ||||
\(832\) | −3.80716 | − | 1.77531i | −0.131989 | − | 0.0615477i | ||||
\(833\) | −37.0935 | − | 3.24526i | −1.28521 | − | 0.112442i | ||||
\(834\) | 20.1797 | − | 15.9100i | 0.698766 | − | 0.550918i | ||||
\(835\) | −8.53966 | − | 17.4580i | −0.295527 | − | 0.604159i | ||||
\(836\) | −1.34219 | + | 0.632894i | −0.0464207 | + | 0.0218891i | ||||
\(837\) | −16.2592 | − | 19.5438i | −0.562002 | − | 0.675532i | ||||
\(838\) | 18.3107 | + | 12.8213i | 0.632533 | + | 0.442904i | ||||
\(839\) | −4.76622 | + | 3.99933i | −0.164548 | + | 0.138072i | −0.721344 | − | 0.692577i | \(-0.756475\pi\) |
0.556795 | + | 0.830650i | \(0.312031\pi\) | |||||||
\(840\) | −13.7701 | − | 3.86580i | −0.475115 | − | 0.133383i | ||||
\(841\) | 16.6327 | + | 6.05380i | 0.573540 | + | 0.208752i | ||||
\(842\) | 2.79093 | − | 0.244175i | 0.0961817 | − | 0.00841481i | ||||
\(843\) | −29.2755 | − | 31.1177i | −1.00830 | − | 1.07175i | ||||
\(844\) | 24.7152 | − | 14.2693i | 0.850732 | − | 0.491171i | ||||
\(845\) | −5.02633 | + | 9.09235i | −0.172911 | + | 0.312786i | ||||
\(846\) | 20.0483 | + | 19.0214i | 0.689274 | + | 0.653968i | ||||
\(847\) | 10.4029 | − | 38.8242i | 0.357448 | − | 1.33401i | ||||
\(848\) | 6.88509 | − | 1.84485i | 0.236435 | − | 0.0633526i | ||||
\(849\) | −47.6768 | − | 9.91435i | −1.63626 | − | 0.340260i | ||||
\(850\) | −23.7532 | + | 14.9186i | −0.814727 | + | 0.511702i | ||||
\(851\) | −5.38670 | − | 14.7998i | −0.184654 | − | 0.507332i | ||||
\(852\) | 10.7662 | − | 4.62614i | 0.368843 | − | 0.158489i | ||||
\(853\) | 1.38001 | + | 0.966293i | 0.0472506 | + | 0.0330852i | 0.596963 | − | 0.802269i | \(-0.296374\pi\) |
−0.549713 | + | 0.835354i | \(0.685263\pi\) | |||||||
\(854\) | 11.0708 | 0.378834 | ||||||||
\(855\) | 27.9353 | + | 8.63832i | 0.955366 | + | 0.295424i | ||||
\(856\) | −0.959584 | −0.0327979 | ||||||||
\(857\) | −8.73860 | − | 6.11883i | −0.298505 | − | 0.209015i | 0.414723 | − | 0.909948i | \(-0.363879\pi\) |
−0.713228 | + | 0.700932i | \(0.752767\pi\) | |||||||
\(858\) | 2.27577 | − | 0.977881i | 0.0776936 | − | 0.0333843i | ||||
\(859\) | −4.99406 | − | 13.7211i | −0.170395 | − | 0.468156i | 0.824874 | − | 0.565317i | \(-0.191246\pi\) |
−0.995269 | + | 0.0971607i | \(0.969024\pi\) | |||||||
\(860\) | 15.2593 | − | 1.62153i | 0.520338 | − | 0.0552937i | ||||
\(861\) | 18.7932 | + | 3.90803i | 0.640469 | + | 0.133185i | ||||
\(862\) | 16.5487 | − | 4.43422i | 0.563653 | − | 0.151030i | ||||
\(863\) | −1.66788 | + | 6.22461i | −0.0567753 | + | 0.211888i | −0.988486 | − | 0.151313i | \(-0.951650\pi\) |
0.931711 | + | 0.363202i | \(0.118316\pi\) | |||||||
\(864\) | 1.36602 | − | 5.01338i | 0.0464728 | − | 0.170559i | ||||
\(865\) | −7.74989 | − | 26.9105i | −0.263504 | − | 0.914983i | ||||
\(866\) | 1.68398 | − | 0.972246i | 0.0572239 | − | 0.0330383i | ||||
\(867\) | −17.1747 | − | 18.2555i | −0.583285 | − | 0.619989i | ||||
\(868\) | 17.9992 | − | 1.57472i | 0.610932 | − | 0.0534496i | ||||
\(869\) | 5.40171 | + | 1.96606i | 0.183240 | + | 0.0666941i | ||||
\(870\) | 6.37502 | + | 11.3515i | 0.216134 | + | 0.384853i | ||||
\(871\) | −14.2355 | + | 11.9450i | −0.482350 | + | 0.404740i | ||||
\(872\) | 4.36177 | + | 3.05415i | 0.147708 | + | 0.103426i | ||||
\(873\) | 5.28464 | + | 25.9618i | 0.178858 | + | 0.878675i | ||||
\(874\) | −39.1450 | + | 3.59392i | −1.32410 | + | 0.121566i | ||||
\(875\) | −40.4148 | − | 8.44508i | −1.36627 | − | 0.285496i | ||||
\(876\) | −3.71362 | + | 2.92787i | −0.125472 | + | 0.0989237i | ||||
\(877\) | 21.4506 | + | 1.87668i | 0.724334 | + | 0.0633710i | 0.443359 | − | 0.896344i | \(-0.353787\pi\) |
0.280975 | + | 0.959715i | \(0.409342\pi\) | |||||||
\(878\) | 6.17211 | + | 2.87810i | 0.208299 | + | 0.0971312i | ||||
\(879\) | 3.45960 | + | 23.8522i | 0.116689 | + | 0.804516i | ||||
\(880\) | 0.392815 | + | 0.652057i | 0.0132418 | + | 0.0219809i | ||||
\(881\) | 19.8037 | + | 11.4337i | 0.667203 | + | 0.385210i | 0.795016 | − | 0.606588i | \(-0.207462\pi\) |
−0.127813 | + | 0.991798i | \(0.540796\pi\) | |||||||
\(882\) | 14.9121 | − | 13.1957i | 0.502115 | − | 0.444322i | ||||
\(883\) | −28.5465 | − | 40.7686i | −0.960666 | − | 1.37197i | −0.928030 | − | 0.372506i | \(-0.878499\pi\) |
−0.0326361 | − | 0.999467i | \(-0.510390\pi\) | |||||||
\(884\) | 4.09215 | − | 23.2077i | 0.137634 | − | 0.780560i | ||||
\(885\) | −22.1550 | − | 2.20411i | −0.744732 | − | 0.0740904i | ||||
\(886\) | −0.518026 | + | 0.897248i | −0.0174034 | + | 0.0301436i | ||||
\(887\) | −5.63412 | + | 0.492921i | −0.189175 | + | 0.0165507i | −0.181350 | − | 0.983419i | \(-0.558047\pi\) |
−0.00782555 | + | 0.999969i | \(0.502491\pi\) | |||||||
\(888\) | 1.80975 | − | 2.42379i | 0.0607312 | − | 0.0813372i | ||||
\(889\) | −22.5934 | − | 62.0748i | −0.757757 | − | 2.08192i | ||||
\(890\) | −21.0935 | − | 9.36245i | −0.707057 | − | 0.313830i | ||||
\(891\) | 1.66923 | + | 2.56929i | 0.0559214 | + | 0.0860746i | ||||
\(892\) | 5.88562 | + | 5.88562i | 0.197065 | + | 0.197065i | ||||
\(893\) | 39.5138 | − | 7.14217i | 1.32228 | − | 0.239003i | ||||
\(894\) | 7.08525 | − | 3.80749i | 0.236966 | − | 0.127341i | ||||
\(895\) | 44.1697 | + | 6.94383i | 1.47643 | + | 0.232107i | ||||
\(896\) | 2.37374 | + | 2.82891i | 0.0793011 | + | 0.0945074i | ||||
\(897\) | 65.5101 | − | 3.72314i | 2.18732 | − | 0.124312i | ||||
\(898\) | −14.8369 | + | 6.91858i | −0.495115 | + | 0.230876i | ||||
\(899\) | −12.5989 | − | 10.5718i | −0.420198 | − | 0.352588i | ||||
\(900\) | 2.95533 | − | 14.7060i | 0.0985110 | − | 0.490200i | ||||
\(901\) | 19.9936 | + | 34.6300i | 0.666084 | + | 1.15369i | ||||
\(902\) | −0.585993 | − | 0.836885i | −0.0195114 | − | 0.0278652i | ||||
\(903\) | −19.7551 | + | 39.1982i | −0.657410 | + | 1.30444i | ||||
\(904\) | 0.411053 | − | 0.237322i | 0.0136714 | − | 0.00789321i | ||||
\(905\) | 29.1250 | + | 33.4269i | 0.968148 | + | 1.11115i | ||||
\(906\) | 5.00612 | + | 1.04102i | 0.166317 | + | 0.0345855i | ||||
\(907\) | −10.4329 | − | 22.3735i | −0.346420 | − | 0.742899i | 0.653482 | − | 0.756942i | \(-0.273308\pi\) |
−0.999901 | + | 0.0140431i | \(0.995530\pi\) | |||||||
\(908\) | −1.45841 | − | 0.680069i | −0.0483991 | − | 0.0225689i | ||||
\(909\) | 4.31205 | + | 37.8136i | 0.143022 | + | 1.25420i | ||||
\(910\) | 28.0396 | − | 20.4211i | 0.929502 | − | 0.676954i | ||||
\(911\) | 14.6403i | 0.485056i | 0.970144 | + | 0.242528i | \(0.0779766\pi\) | ||||
−0.970144 | + | 0.242528i | \(0.922023\pi\) | |||||||
\(912\) | −4.69972 | − | 5.90869i | −0.155623 | − | 0.195656i | ||||
\(913\) | 0.240238 | − | 0.240238i | 0.00795073 | − | 0.00795073i | ||||
\(914\) | −4.80253 | − | 27.2365i | −0.158853 | − | 0.900903i | ||||
\(915\) | 0.874307 | + | 11.5777i | 0.0289037 | + | 0.382748i | ||||
\(916\) | −10.5300 | + | 3.83262i | −0.347922 | + | 0.126633i | ||||
\(917\) | −53.3487 | + | 24.8769i | −1.76173 | + | 0.821509i | ||||
\(918\) | 29.1497 | + | 0.122918i | 0.962083 | + | 0.00405690i | ||||
\(919\) | 15.9480 | + | 9.20756i | 0.526075 | + | 0.303729i | 0.739417 | − | 0.673248i | \(-0.235101\pi\) |
−0.213342 | + | 0.976978i | \(0.568435\pi\) | |||||||
\(920\) | 3.87046 | + | 19.7905i | 0.127605 | + | 0.652473i | ||||
\(921\) | −11.7982 | + | 3.89111i | −0.388765 | + | 0.128217i | ||||
\(922\) | −23.0681 | + | 16.1525i | −0.759708 | + | 0.531953i | ||||
\(923\) | −7.35555 | + | 27.4513i | −0.242111 | + | 0.903570i | ||||
\(924\) | −2.17650 | − | 0.0663918i | −0.0716018 | − | 0.00218413i | ||||
\(925\) | 4.73902 | − | 7.33426i | 0.155818 | − | 0.241149i | ||||
\(926\) | −0.778704 | + | 2.13947i | −0.0255898 | + | 0.0703074i | ||||
\(927\) | 14.3899 | − | 8.82008i | 0.472627 | − | 0.289689i | ||||
\(928\) | 0.292977 | − | 3.34874i | 0.00961743 | − | 0.109928i | ||||
\(929\) | −5.38170 | − | 30.5212i | −0.176568 | − | 1.00137i | −0.936318 | − | 0.351152i | \(-0.885790\pi\) |
0.759750 | − | 0.650215i | \(-0.225321\pi\) | |||||||
\(930\) | 3.06831 | + | 18.6990i | 0.100614 | + | 0.613165i | ||||
\(931\) | −2.64512 | − | 28.8106i | −0.0866902 | − | 0.944229i | ||||
\(932\) | −2.39596 | + | 2.39596i | −0.0784824 | + | 0.0784824i | ||||
\(933\) | 25.2926 | + | 2.99233i | 0.828044 | + | 0.0979645i | ||||
\(934\) | 3.32054 | + | 3.95726i | 0.108651 | + | 0.129486i | ||||
\(935\) | −2.96299 | + | 3.07532i | −0.0969002 | + | 0.100574i | ||||
\(936\) | 7.49707 | + | 10.1296i | 0.245049 | + | 0.331098i | ||||
\(937\) | 1.84601 | + | 21.0999i | 0.0603064 | + | 0.689305i | 0.964829 | + | 0.262879i | \(0.0846720\pi\) |
−0.904522 | + | 0.426426i | \(0.859772\pi\) | |||||||
\(938\) | 15.7798 | − | 4.22819i | 0.515229 | − | 0.138055i | ||||
\(939\) | −18.5190 | − | 11.4586i | −0.604343 | − | 0.373938i | ||||
\(940\) | −5.70048 | − | 19.7941i | −0.185929 | − | 0.645614i | ||||
\(941\) | −32.4062 | − | 5.71410i | −1.05641 | − | 0.186274i | −0.381649 | − | 0.924307i | \(-0.624644\pi\) |
−0.674765 | + | 0.738033i | \(0.735755\pi\) | |||||||
\(942\) | 0.952407 | + | 4.04384i | 0.0310311 | + | 0.131756i | ||||
\(943\) | −7.00462 | − | 26.1416i | −0.228102 | − | 0.851288i | ||||
\(944\) | 4.40371 | + | 3.69515i | 0.143329 | + | 0.120267i | ||||
\(945\) | 30.7734 | + | 29.9006i | 1.00106 | + | 0.972667i | ||||
\(946\) | 2.19538 | − | 0.799052i | 0.0713779 | − | 0.0259794i | ||||
\(947\) | −1.77977 | + | 20.3428i | −0.0578347 | + | 0.661053i | 0.910846 | + | 0.412745i | \(0.135430\pi\) |
−0.968681 | + | 0.248308i | \(0.920125\pi\) | |||||||
\(948\) | −3.43612 | + | 29.0437i | −0.111600 | + | 0.943297i | ||||
\(949\) | − | 11.4692i | − | 0.372307i | ||||||
\(950\) | −14.6897 | − | 16.1001i | −0.476596 | − | 0.522357i | ||||
\(951\) | −25.1815 | + | 13.5321i | −0.816565 | + | 0.438807i | ||||
\(952\) | −11.8826 | + | 16.9702i | −0.385118 | + | 0.550006i | ||||
\(953\) | −55.3431 | − | 4.84190i | −1.79274 | − | 0.156844i | −0.858343 | − | 0.513077i | \(-0.828505\pi\) |
−0.934397 | + | 0.356233i | \(0.884061\pi\) | |||||||
\(954\) | −20.7936 | − | 4.98994i | −0.673216 | − | 0.161555i | ||||
\(955\) | −38.0003 | − | 30.6999i | −1.22966 | − | 0.993425i | ||||
\(956\) | −10.6110 | + | 12.6457i | −0.343183 | + | 0.408990i | ||||
\(957\) | 1.35819 | + | 1.44366i | 0.0439042 | + | 0.0466670i | ||||
\(958\) | 4.94058 | + | 1.32382i | 0.159623 | + | 0.0427708i | ||||
\(959\) | −8.67791 | + | 49.2149i | −0.280224 | + | 1.58923i | ||||
\(960\) | −2.77099 | + | 2.70585i | −0.0894333 | + | 0.0873309i | ||||
\(961\) | 3.53106 | + | 6.11598i | 0.113905 | + | 0.197290i | ||||
\(962\) | 1.89876 | + | 7.08628i | 0.0612185 | + | 0.228471i | ||||
\(963\) | 2.53003 | + | 1.37337i | 0.0815291 | + | 0.0442564i | ||||
\(964\) | −5.09093 | + | 13.9872i | −0.163968 | + | 0.450498i | ||||
\(965\) | 19.8759 | + | 19.1499i | 0.639828 | + | 0.616457i | ||||
\(966\) | −53.5777 | − | 21.3723i | −1.72383 | − | 0.687642i | ||||
\(967\) | 5.47457 | − | 7.81850i | 0.176050 | − | 0.251426i | −0.721423 | − | 0.692495i | \(-0.756512\pi\) |
0.897473 | + | 0.441069i | \(0.145401\pi\) | |||||||
\(968\) | −7.69622 | − | 7.69622i | −0.247366 | − | 0.247366i | ||||
\(969\) | 25.1940 | − | 34.0458i | 0.809347 | − | 1.09371i | ||||
\(970\) | 6.40776 | − | 18.6791i | 0.205741 | − | 0.599750i | ||||
\(971\) | 13.9032 | − | 2.45151i | 0.446176 | − | 0.0786728i | 0.0539537 | − | 0.998543i | \(-0.482818\pi\) |
0.392222 | + | 0.919871i | \(0.371707\pi\) | |||||||
\(972\) | −10.7769 | + | 11.2632i | −0.345668 | + | 0.361266i | ||||
\(973\) | 23.1548 | − | 49.6555i | 0.742307 | − | 1.59188i | ||||
\(974\) | 34.0655 | + | 12.3988i | 1.09153 | + | 0.397284i | ||||
\(975\) | 23.5707 | + | 27.7108i | 0.754865 | + | 0.887455i | ||||
\(976\) | 1.49893 | − | 2.59623i | 0.0479797 | − | 0.0831033i | ||||
\(977\) | −40.0493 | − | 10.7312i | −1.28129 | − | 0.343321i | −0.446945 | − | 0.894562i | \(-0.647488\pi\) |
−0.834346 | + | 0.551241i | \(0.814155\pi\) | |||||||
\(978\) | 38.0014 | + | 19.1520i | 1.21515 | + | 0.612412i | ||||
\(979\) | −3.46019 | − | 0.610124i | −0.110588 | − | 0.0194997i | ||||
\(980\) | −14.5657 | + | 2.84865i | −0.465285 | + | 0.0909967i | ||||
\(981\) | −7.12906 | − | 14.2952i | −0.227613 | − | 0.456410i | ||||
\(982\) | 0.0283726 | + | 0.324300i | 0.000905405 | + | 0.0103488i | ||||
\(983\) | −8.91340 | − | 19.1149i | −0.284293 | − | 0.609669i | 0.711358 | − | 0.702830i | \(-0.248081\pi\) |
−0.995651 | + | 0.0931610i | \(0.970303\pi\) | |||||||
\(984\) | 3.46099 | − | 3.87809i | 0.110332 | − | 0.123629i | ||||
\(985\) | 1.51095 | + | 0.670641i | 0.0481429 | + | 0.0213684i | ||||
\(986\) | 18.5714 | − | 3.27464i | 0.591433 | − | 0.104286i | ||||
\(987\) | 56.4231 | + | 16.9784i | 1.79597 | + | 0.540429i | ||||
\(988\) | 18.3104 | − | 0.0785046i | 0.582532 | − | 0.00249757i | ||||
\(989\) | 61.8886 | 1.96794 | ||||||||
\(990\) | −0.102456 | − | 2.28141i | −0.00325626 | − | 0.0725081i | ||||
\(991\) | −18.3467 | + | 15.3947i | −0.582802 | + | 0.489029i | −0.885866 | − | 0.463941i | \(-0.846435\pi\) |
0.303064 | + | 0.952970i | \(0.401991\pi\) | |||||||
\(992\) | 2.06772 | − | 4.43423i | 0.0656501 | − | 0.140787i | ||||
\(993\) | −37.1662 | − | 27.7505i | −1.17943 | − | 0.880635i | ||||
\(994\) | 16.0593 | − | 19.1387i | 0.509370 | − | 0.607044i | ||||
\(995\) | 7.35634 | − | 6.40961i | 0.233212 | − | 0.203198i | ||||
\(996\) | 1.46992 | + | 0.909517i | 0.0465763 | + | 0.0288191i | ||||
\(997\) | 19.2193 | − | 13.4575i | 0.608680 | − | 0.426203i | −0.228180 | − | 0.973619i | \(-0.573277\pi\) |
0.836860 | + | 0.547416i | \(0.184389\pi\) | |||||||
\(998\) | −16.3864 | + | 11.4739i | −0.518701 | + | 0.363198i | ||||
\(999\) | −8.24054 | + | 3.80041i | −0.260719 | + | 0.120240i |
(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 | 570.2.bi.a.47.23 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.47.18 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.503.29 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.503.6 | yes | 480 | |
19.17 | even | 9 | inner | 570.2.bi.a.17.6 | ✓ | 480 | |
57.17 | odd | 18 | inner | 570.2.bi.a.17.29 | yes | 480 | |
95.93 | odd | 36 | inner | 570.2.bi.a.473.18 | yes | 480 | |
285.188 | even | 36 | inner | 570.2.bi.a.473.23 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.17.6 | ✓ | 480 | 19.17 | even | 9 | inner | |
570.2.bi.a.17.29 | yes | 480 | 57.17 | odd | 18 | inner | |
570.2.bi.a.47.18 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.47.23 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.473.18 | yes | 480 | 95.93 | odd | 36 | inner | |
570.2.bi.a.473.23 | yes | 480 | 285.188 | even | 36 | inner | |
570.2.bi.a.503.6 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.503.29 | yes | 480 | 5.3 | odd | 4 | inner |