Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(3,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.bj (of order \(12\), degree \(4\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.13 | ||
Character | \(\chi\) | \(=\) | 260.3 |
Dual form | 260.2.bj.c.87.13 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.832990 | − | 1.14286i | −0.589013 | − | 0.808124i | ||||
\(3\) | −3.02314 | − | 0.810048i | −1.74541 | − | 0.467681i | −0.761774 | − | 0.647843i | \(-0.775671\pi\) |
−0.983637 | + | 0.180162i | \(0.942338\pi\) | |||||||
\(4\) | −0.612255 | + | 1.90398i | −0.306128 | + | 0.951990i | ||||
\(5\) | 2.23524 | − | 0.0606684i | 0.999632 | − | 0.0271317i | ||||
\(6\) | 1.59247 | + | 4.12979i | 0.650125 | + | 1.68598i | ||||
\(7\) | 2.22941 | − | 0.597369i | 0.842638 | − | 0.225784i | 0.188418 | − | 0.982089i | \(-0.439664\pi\) |
0.654219 | + | 0.756305i | \(0.272997\pi\) | |||||||
\(8\) | 2.68599 | − | 0.886276i | 0.949639 | − | 0.313346i | ||||
\(9\) | 5.88512 | + | 3.39778i | 1.96171 | + | 1.13259i | ||||
\(10\) | −1.93127 | − | 2.50403i | −0.610722 | − | 0.791845i | ||||
\(11\) | −0.106161 | + | 0.0612923i | −0.0320088 | + | 0.0184803i | −0.515919 | − | 0.856637i | \(-0.672549\pi\) |
0.483910 | + | 0.875118i | \(0.339216\pi\) | |||||||
\(12\) | 3.39325 | − | 5.26005i | 0.979547 | − | 1.51844i | ||||
\(13\) | −3.42763 | − | 1.11863i | −0.950654 | − | 0.310253i | ||||
\(14\) | −2.53978 | − | 2.05030i | −0.678786 | − | 0.547966i | ||||
\(15\) | −6.80660 | − | 1.62725i | −1.75746 | − | 0.420153i | ||||
\(16\) | −3.25029 | − | 2.33144i | −0.812572 | − | 0.582861i | ||||
\(17\) | −1.22159 | − | 4.55904i | −0.296279 | − | 1.10573i | −0.940196 | − | 0.340634i | \(-0.889358\pi\) |
0.643916 | − | 0.765096i | \(-0.277308\pi\) | |||||||
\(18\) | −1.01907 | − | 9.55618i | −0.240196 | − | 2.25241i | ||||
\(19\) | 0.553650 | − | 0.958950i | 0.127016 | − | 0.219998i | −0.795503 | − | 0.605949i | \(-0.792793\pi\) |
0.922519 | + | 0.385951i | \(0.126127\pi\) | |||||||
\(20\) | −1.25303 | + | 4.29301i | −0.280186 | + | 0.959946i | ||||
\(21\) | −7.22372 | −1.57634 | ||||||||
\(22\) | 0.158480 | + | 0.0702716i | 0.0337880 | + | 0.0149820i | ||||
\(23\) | 5.95146 | + | 1.59469i | 1.24097 | + | 0.332516i | 0.818840 | − | 0.574021i | \(-0.194617\pi\) |
0.422126 | + | 0.906537i | \(0.361284\pi\) | |||||||
\(24\) | −8.83804 | + | 0.503559i | −1.80406 | + | 0.102789i | ||||
\(25\) | 4.99264 | − | 0.271217i | 0.998528 | − | 0.0542435i | ||||
\(26\) | 1.57674 | + | 4.84911i | 0.309225 | + | 0.950989i | ||||
\(27\) | −8.39992 | − | 8.39992i | −1.61656 | − | 1.61656i | ||||
\(28\) | −0.227589 | + | 4.61050i | −0.0430103 | + | 0.871302i | ||||
\(29\) | 4.80923 | − | 2.77661i | 0.893052 | − | 0.515604i | 0.0181126 | − | 0.999836i | \(-0.494234\pi\) |
0.874940 | + | 0.484232i | \(0.160901\pi\) | |||||||
\(30\) | 3.81012 | + | 9.13447i | 0.695629 | + | 1.66772i | ||||
\(31\) | − | 6.59869i | − | 1.18516i | −0.805512 | − | 0.592580i | \(-0.798109\pi\) | ||
0.805512 | − | 0.592580i | \(-0.201891\pi\) | |||||||
\(32\) | 0.0429437 | + | 5.65669i | 0.00759145 | + | 0.999971i | ||||
\(33\) | 0.370590 | − | 0.0992993i | 0.0645115 | − | 0.0172858i | ||||
\(34\) | −4.19277 | + | 5.19374i | −0.719054 | + | 0.890720i | ||||
\(35\) | 4.94704 | − | 1.47052i | 0.836202 | − | 0.248563i | ||||
\(36\) | −10.0725 | + | 9.12486i | −1.67875 | + | 1.52081i | ||||
\(37\) | −3.92525 | − | 1.05177i | −0.645307 | − | 0.172909i | −0.0787006 | − | 0.996898i | \(-0.525077\pi\) |
−0.566606 | + | 0.823989i | \(0.691744\pi\) | |||||||
\(38\) | −1.55713 | + | 0.166052i | −0.252600 | + | 0.0269371i | ||||
\(39\) | 9.45607 | + | 6.15833i | 1.51418 | + | 0.986122i | ||||
\(40\) | 5.95007 | − | 2.14400i | 0.940788 | − | 0.338996i | ||||
\(41\) | −3.05994 | − | 5.29997i | −0.477882 | − | 0.827716i | 0.521797 | − | 0.853070i | \(-0.325262\pi\) |
−0.999679 | + | 0.0253541i | \(0.991929\pi\) | |||||||
\(42\) | 6.01728 | + | 8.25569i | 0.928487 | + | 1.27388i | ||||
\(43\) | −2.55565 | − | 9.53781i | −0.389733 | − | 1.45450i | −0.830569 | − | 0.556915i | \(-0.811985\pi\) |
0.440837 | − | 0.897587i | \(-0.354682\pi\) | |||||||
\(44\) | −0.0517015 | − | 0.239656i | −0.00779429 | − | 0.0361294i | ||||
\(45\) | 13.3608 | + | 7.23782i | 1.99172 | + | 1.07895i | ||||
\(46\) | −3.13500 | − | 8.13005i | −0.462231 | − | 1.19871i | ||||
\(47\) | 3.41838 | + | 3.41838i | 0.498622 | + | 0.498622i | 0.911009 | − | 0.412387i | \(-0.135305\pi\) |
−0.412387 | + | 0.911009i | \(0.635305\pi\) | |||||||
\(48\) | 7.93749 | + | 9.68117i | 1.14568 | + | 1.39736i | ||||
\(49\) | −1.44876 | + | 0.836441i | −0.206965 | + | 0.119492i | ||||
\(50\) | −4.46878 | − | 5.47996i | −0.631981 | − | 0.774984i | ||||
\(51\) | 14.7722i | 2.06852i | ||||||||
\(52\) | 4.22844 | − | 5.84126i | 0.586379 | − | 0.810037i | ||||
\(53\) | 4.68521 | + | 4.68521i | 0.643563 | + | 0.643563i | 0.951430 | − | 0.307866i | \(-0.0996150\pi\) |
−0.307866 | + | 0.951430i | \(0.599615\pi\) | |||||||
\(54\) | −2.60288 | + | 16.5970i | −0.354207 | + | 2.25856i | ||||
\(55\) | −0.233578 | + | 0.143444i | −0.0314956 | + | 0.0193420i | ||||
\(56\) | 5.45873 | − | 3.58039i | 0.729453 | − | 0.478450i | ||||
\(57\) | −2.45056 | + | 2.45056i | −0.324584 | + | 0.324584i | ||||
\(58\) | −7.17932 | − | 3.18339i | −0.942691 | − | 0.417999i | ||||
\(59\) | −3.69271 | + | 6.39597i | −0.480750 | + | 0.832684i | −0.999756 | − | 0.0220868i | \(-0.992969\pi\) |
0.519006 | + | 0.854771i | \(0.326302\pi\) | |||||||
\(60\) | 7.26562 | − | 11.9634i | 0.937988 | − | 1.54446i | ||||
\(61\) | 1.63566 | − | 2.83304i | 0.209424 | − | 0.362733i | −0.742109 | − | 0.670279i | \(-0.766174\pi\) |
0.951533 | + | 0.307546i | \(0.0995077\pi\) | |||||||
\(62\) | −7.54138 | + | 5.49665i | −0.957756 | + | 0.698075i | ||||
\(63\) | 15.1501 | + | 4.05945i | 1.90873 | + | 0.511443i | ||||
\(64\) | 6.42903 | − | 4.76105i | 0.803629 | − | 0.595131i | ||||
\(65\) | −7.72946 | − | 2.29247i | −0.958722 | − | 0.284346i | ||||
\(66\) | −0.422183 | − | 0.340817i | −0.0519671 | − | 0.0419517i | ||||
\(67\) | 0.276451 | − | 1.03173i | 0.0337739 | − | 0.126046i | −0.946981 | − | 0.321291i | \(-0.895883\pi\) |
0.980755 | + | 0.195245i | \(0.0625501\pi\) | |||||||
\(68\) | 9.42825 | + | 0.465410i | 1.14334 | + | 0.0564392i | ||||
\(69\) | −16.7003 | − | 9.64194i | −2.01048 | − | 1.16075i | ||||
\(70\) | −5.80143 | − | 4.42884i | −0.693403 | − | 0.529347i | ||||
\(71\) | 5.76408 | + | 3.32789i | 0.684070 | + | 0.394948i | 0.801387 | − | 0.598147i | \(-0.204096\pi\) |
−0.117317 | + | 0.993095i | \(0.537429\pi\) | |||||||
\(72\) | 18.8187 | + | 3.91054i | 2.21781 | + | 0.460861i | ||||
\(73\) | 0.0577475 | + | 0.0577475i | 0.00675883 | + | 0.00675883i | 0.710478 | − | 0.703719i | \(-0.248479\pi\) |
−0.703719 | + | 0.710478i | \(0.748479\pi\) | |||||||
\(74\) | 2.06767 | + | 5.36212i | 0.240362 | + | 0.623333i | ||||
\(75\) | −15.3131 | − | 3.22435i | −1.76821 | − | 0.372316i | ||||
\(76\) | 1.48685 | + | 1.64126i | 0.170553 | + | 0.188266i | ||||
\(77\) | −0.200063 | + | 0.200063i | −0.0227993 | + | 0.0227993i | ||||
\(78\) | −0.838708 | − | 15.9368i | −0.0949650 | − | 1.80449i | ||||
\(79\) | 7.90960 | 0.889899 | 0.444950 | − | 0.895556i | \(-0.353222\pi\) | ||||
0.444950 | + | 0.895556i | \(0.353222\pi\) | |||||||
\(80\) | −7.40663 | − | 5.01416i | −0.828087 | − | 0.560600i | ||||
\(81\) | 8.39646 | + | 14.5431i | 0.932940 | + | 1.61590i | ||||
\(82\) | −3.50822 | + | 7.91190i | −0.387418 | + | 0.873723i | ||||
\(83\) | −5.58770 | + | 5.58770i | −0.613330 | + | 0.613330i | −0.943812 | − | 0.330482i | \(-0.892789\pi\) |
0.330482 | + | 0.943812i | \(0.392789\pi\) | |||||||
\(84\) | 4.42276 | − | 13.7538i | 0.482562 | − | 1.50066i | ||||
\(85\) | −3.00715 | − | 10.1165i | −0.326171 | − | 1.09728i | ||||
\(86\) | −8.77155 | + | 10.8656i | −0.945860 | + | 1.17167i | ||||
\(87\) | −16.7882 | + | 4.49838i | −1.79988 | + | 0.482277i | ||||
\(88\) | −0.230826 | + | 0.258718i | −0.0246061 | + | 0.0275795i | ||||
\(89\) | 13.4031 | − | 7.73831i | 1.42073 | − | 0.820259i | 0.424370 | − | 0.905489i | \(-0.360496\pi\) |
0.996361 | + | 0.0852296i | \(0.0271624\pi\) | |||||||
\(90\) | −2.85762 | − | 21.2986i | −0.301220 | − | 2.24507i | ||||
\(91\) | −8.30983 | − | 0.446329i | −0.871107 | − | 0.0467880i | ||||
\(92\) | −6.68007 | + | 10.3551i | −0.696446 | + | 1.07960i | ||||
\(93\) | −5.34526 | + | 19.9488i | −0.554277 | + | 2.06859i | ||||
\(94\) | 1.05925 | − | 6.75420i | 0.109253 | − | 0.696642i | ||||
\(95\) | 1.17937 | − | 2.17708i | 0.121000 | − | 0.223363i | ||||
\(96\) | 4.45237 | − | 17.1358i | 0.454418 | − | 1.74891i | ||||
\(97\) | 0.517499 | + | 1.93133i | 0.0525441 | + | 0.196097i | 0.987209 | − | 0.159434i | \(-0.0509668\pi\) |
−0.934665 | + | 0.355531i | \(0.884300\pi\) | |||||||
\(98\) | 2.16274 | + | 0.958980i | 0.218469 | + | 0.0968716i | ||||
\(99\) | −0.833030 | −0.0837227 | ||||||||
\(100\) | −2.54038 | + | 9.67194i | −0.254038 | + | 0.967194i | ||||
\(101\) | 6.00910 | + | 10.4081i | 0.597928 | + | 1.03564i | 0.993127 | + | 0.117045i | \(0.0373423\pi\) |
−0.395199 | + | 0.918596i | \(0.629324\pi\) | |||||||
\(102\) | 16.8825 | − | 12.3051i | 1.67162 | − | 1.21838i | ||||
\(103\) | −3.11432 | + | 3.11432i | −0.306863 | + | 0.306863i | −0.843691 | − | 0.536829i | \(-0.819622\pi\) |
0.536829 | + | 0.843691i | \(0.319622\pi\) | |||||||
\(104\) | −10.1980 | + | 0.0331988i | −0.999995 | + | 0.00325541i | ||||
\(105\) | −16.1468 | + | 0.438251i | −1.57576 | + | 0.0427689i | ||||
\(106\) | 1.45180 | − | 9.25727i | 0.141012 | − | 0.899146i | ||||
\(107\) | 1.64517 | − | 6.13987i | 0.159045 | − | 0.593564i | −0.839680 | − | 0.543081i | \(-0.817257\pi\) |
0.998725 | − | 0.0504823i | \(-0.0160758\pi\) | |||||||
\(108\) | 21.1362 | − | 10.8504i | 2.03383 | − | 1.04408i | ||||
\(109\) | − | 4.44145i | − | 0.425414i | −0.977116 | − | 0.212707i | \(-0.931772\pi\) | ||
0.977116 | − | 0.212707i | \(-0.0682280\pi\) | |||||||
\(110\) | 0.358504 | + | 0.147460i | 0.0341820 | + | 0.0140597i | ||||
\(111\) | 11.0146 | + | 6.35928i | 1.04546 | + | 0.603596i | ||||
\(112\) | −8.63895 | − | 3.25613i | −0.816304 | − | 0.307675i | ||||
\(113\) | −11.4994 | + | 3.08126i | −1.08177 | + | 0.289860i | −0.755322 | − | 0.655353i | \(-0.772520\pi\) |
−0.326452 | + | 0.945214i | \(0.605853\pi\) | |||||||
\(114\) | 4.84193 | + | 0.759352i | 0.453488 | + | 0.0711199i | ||||
\(115\) | 13.3997 | + | 3.20346i | 1.24953 | + | 0.298724i | ||||
\(116\) | 2.34214 | + | 10.8567i | 0.217462 | + | 1.00802i | ||||
\(117\) | −16.3712 | − | 18.2296i | −1.51352 | − | 1.68533i | ||||
\(118\) | 10.3857 | − | 1.10752i | 0.956080 | − | 0.101956i | ||||
\(119\) | −5.44686 | − | 9.43423i | −0.499313 | − | 0.864835i | ||||
\(120\) | −19.7246 | + | 1.66177i | −1.80060 | + | 0.151698i | ||||
\(121\) | −5.49249 | + | 9.51327i | −0.499317 | + | 0.864842i | ||||
\(122\) | −4.60025 | + | 0.490569i | −0.416487 | + | 0.0444140i | ||||
\(123\) | 4.95739 | + | 18.5012i | 0.446993 | + | 1.66820i | ||||
\(124\) | 12.5638 | + | 4.04008i | 1.12826 | + | 0.362810i | ||||
\(125\) | 11.1433 | − | 0.909133i | 0.996688 | − | 0.0813153i | ||||
\(126\) | −7.98048 | − | 20.6959i | −0.710958 | − | 1.84374i | ||||
\(127\) | −4.40685 | + | 16.4466i | −0.391045 | + | 1.45940i | 0.437368 | + | 0.899283i | \(0.355911\pi\) |
−0.828413 | + | 0.560117i | \(0.810756\pi\) | |||||||
\(128\) | −10.7965 | − | 3.38157i | −0.954287 | − | 0.298892i | ||||
\(129\) | 30.9043i | 2.72098i | ||||||||
\(130\) | 3.81860 | + | 10.7433i | 0.334913 | + | 0.942249i | ||||
\(131\) | 1.82811i | 0.159723i | 0.996806 | + | 0.0798615i | \(0.0254478\pi\) | ||||
−0.996806 | + | 0.0798615i | \(0.974552\pi\) | |||||||
\(132\) | −0.0378317 | + | 0.766393i | −0.00329283 | + | 0.0667060i | ||||
\(133\) | 0.661466 | − | 2.46863i | 0.0573564 | − | 0.214057i | ||||
\(134\) | −1.40940 | + | 0.543476i | −0.121754 | + | 0.0469492i | ||||
\(135\) | −19.2855 | − | 18.2663i | −1.65983 | − | 1.57211i | ||||
\(136\) | −7.32174 | − | 11.1629i | −0.627834 | − | 0.957207i | ||||
\(137\) | 2.22636 | + | 8.30888i | 0.190211 | + | 0.709876i | 0.993455 | + | 0.114226i | \(0.0364387\pi\) |
−0.803244 | + | 0.595650i | \(0.796895\pi\) | |||||||
\(138\) | 2.89183 | + | 27.1178i | 0.246169 | + | 2.30842i | ||||
\(139\) | 6.59745 | − | 11.4271i | 0.559589 | − | 0.969236i | −0.437942 | − | 0.899003i | \(-0.644293\pi\) |
0.997531 | − | 0.0702326i | \(-0.0223741\pi\) | |||||||
\(140\) | −0.229006 | + | 10.3194i | −0.0193546 | + | 0.872148i | ||||
\(141\) | −7.56518 | − | 13.1033i | −0.637103 | − | 1.10350i | ||||
\(142\) | −0.998107 | − | 9.35963i | −0.0837593 | − | 0.785443i | ||||
\(143\) | 0.432445 | − | 0.0913319i | 0.0361629 | − | 0.00763756i | ||||
\(144\) | −11.2066 | − | 24.7646i | −0.933884 | − | 2.06372i | ||||
\(145\) | 10.5814 | − | 6.49818i | 0.878734 | − | 0.539644i | ||||
\(146\) | 0.0178942 | − | 0.114100i | 0.00148093 | − | 0.00944301i | ||||
\(147\) | 5.05736 | − | 1.35511i | 0.417124 | − | 0.111768i | ||||
\(148\) | 4.40580 | − | 6.82964i | 0.362154 | − | 0.561393i | ||||
\(149\) | −2.82054 | − | 1.62844i | −0.231068 | − | 0.133407i | 0.379997 | − | 0.924988i | \(-0.375925\pi\) |
−0.611064 | + | 0.791581i | \(0.709258\pi\) | |||||||
\(150\) | 9.07072 | + | 20.1866i | 0.740621 | + | 1.64823i | ||||
\(151\) | − | 19.0300i | − | 1.54864i | −0.632795 | − | 0.774319i | \(-0.718093\pi\) | ||
0.632795 | − | 0.774319i | \(-0.281907\pi\) | |||||||
\(152\) | 0.637202 | − | 3.06641i | 0.0516839 | − | 0.248719i | ||||
\(153\) | 8.30139 | − | 30.9812i | 0.671128 | − | 2.50468i | ||||
\(154\) | 0.395294 | + | 0.0619934i | 0.0318537 | + | 0.00499557i | ||||
\(155\) | −0.400332 | − | 14.7497i | −0.0321554 | − | 1.18472i | ||||
\(156\) | −17.5149 | + | 14.2337i | −1.40231 | + | 1.13961i | ||||
\(157\) | 0.405099 | − | 0.405099i | 0.0323304 | − | 0.0323304i | −0.690757 | − | 0.723087i | \(-0.742722\pi\) |
0.723087 | + | 0.690757i | \(0.242722\pi\) | |||||||
\(158\) | −6.58861 | − | 9.03956i | −0.524162 | − | 0.719148i | ||||
\(159\) | −10.3688 | − | 17.9593i | −0.822300 | − | 1.42427i | ||||
\(160\) | 0.439172 | + | 12.6415i | 0.0347196 | + | 0.999397i | ||||
\(161\) | 14.2209 | 1.12076 | ||||||||
\(162\) | 9.62654 | − | 21.7102i | 0.756333 | − | 1.70572i | ||||
\(163\) | 1.80690 | + | 6.74344i | 0.141527 | + | 0.528187i | 0.999885 | + | 0.0151360i | \(0.00481811\pi\) |
−0.858358 | + | 0.513051i | \(0.828515\pi\) | |||||||
\(164\) | 11.9645 | − | 2.58113i | 0.934270 | − | 0.201552i | ||||
\(165\) | 0.822335 | − | 0.244441i | 0.0640187 | − | 0.0190297i | ||||
\(166\) | 11.0405 | + | 1.73146i | 0.856905 | + | 0.134387i | ||||
\(167\) | −0.215919 | + | 0.805821i | −0.0167083 | + | 0.0623563i | −0.973777 | − | 0.227506i | \(-0.926943\pi\) |
0.957068 | + | 0.289862i | \(0.0936095\pi\) | |||||||
\(168\) | −19.4028 | + | 6.40220i | −1.49696 | + | 0.493941i | ||||
\(169\) | 10.4973 | + | 7.66852i | 0.807487 | + | 0.589886i | ||||
\(170\) | −9.05677 | + | 11.8637i | −0.694623 | + | 0.909901i | ||||
\(171\) | 6.51660 | − | 3.76236i | 0.498337 | − | 0.287715i | ||||
\(172\) | 19.7245 | + | 0.973668i | 1.50398 | + | 0.0742415i | ||||
\(173\) | −12.8807 | + | 3.45137i | −0.979302 | + | 0.262403i | −0.712751 | − | 0.701418i | \(-0.752551\pi\) |
−0.266551 | + | 0.963821i | \(0.585884\pi\) | |||||||
\(174\) | 19.1254 | + | 15.4394i | 1.44989 | + | 1.17046i | ||||
\(175\) | 10.9686 | − | 3.58710i | 0.829150 | − | 0.271159i | ||||
\(176\) | 0.487954 | + | 0.0482917i | 0.0367809 | + | 0.00364013i | ||||
\(177\) | 16.3446 | − | 16.3446i | 1.22854 | − | 1.22854i | ||||
\(178\) | −20.0085 | − | 8.87198i | −1.49970 | − | 0.664983i | ||||
\(179\) | 2.27366 | + | 3.93809i | 0.169941 | + | 0.294346i | 0.938399 | − | 0.345554i | \(-0.112309\pi\) |
−0.768458 | + | 0.639900i | \(0.778976\pi\) | |||||||
\(180\) | −21.9609 | + | 21.0074i | −1.63687 | + | 1.56580i | ||||
\(181\) | −18.0124 | −1.33885 | −0.669426 | − | 0.742879i | \(-0.733460\pi\) | ||||
−0.669426 | + | 0.742879i | \(0.733460\pi\) | |||||||
\(182\) | 6.41192 | + | 9.86876i | 0.475283 | + | 0.731521i | ||||
\(183\) | −7.23972 | + | 7.23972i | −0.535175 | + | 0.535175i | ||||
\(184\) | 17.3989 | − | 0.991324i | 1.28266 | − | 0.0730814i | ||||
\(185\) | −8.83770 | − | 2.11282i | −0.649760 | − | 0.155337i | ||||
\(186\) | 27.2512 | − | 10.5083i | 1.99815 | − | 0.770502i | ||||
\(187\) | 0.409120 | + | 0.409120i | 0.0299178 | + | 0.0299178i | ||||
\(188\) | −8.60144 | + | 4.41561i | −0.627325 | + | 0.322041i | ||||
\(189\) | −23.7447 | − | 13.7090i | −1.72717 | − | 0.997184i | ||||
\(190\) | −3.47049 | + | 0.465635i | −0.251776 | + | 0.0337807i | ||||
\(191\) | −0.183357 | − | 0.105861i | −0.0132672 | − | 0.00765984i | 0.493352 | − | 0.869830i | \(-0.335772\pi\) |
−0.506619 | + | 0.862170i | \(0.669105\pi\) | |||||||
\(192\) | −23.2925 | + | 9.18549i | −1.68099 | + | 0.662905i | ||||
\(193\) | −2.57071 | + | 9.59403i | −0.185044 | + | 0.690593i | 0.809577 | + | 0.587013i | \(0.199696\pi\) |
−0.994621 | + | 0.103580i | \(0.966970\pi\) | |||||||
\(194\) | 1.77617 | − | 2.20021i | 0.127522 | − | 0.157966i | ||||
\(195\) | 21.5102 | + | 13.1917i | 1.54038 | + | 0.944676i | ||||
\(196\) | −0.705558 | − | 3.27052i | −0.0503970 | − | 0.233609i | ||||
\(197\) | 15.4232 | + | 4.13263i | 1.09886 | + | 0.294438i | 0.762299 | − | 0.647225i | \(-0.224070\pi\) |
0.336558 | + | 0.941663i | \(0.390737\pi\) | |||||||
\(198\) | 0.693906 | + | 0.952036i | 0.0493137 | + | 0.0676583i | ||||
\(199\) | −10.4269 | + | 18.0599i | −0.739144 | + | 1.28023i | 0.213737 | + | 0.976891i | \(0.431436\pi\) |
−0.952881 | + | 0.303344i | \(0.901897\pi\) | |||||||
\(200\) | 13.1698 | − | 5.15334i | 0.931244 | − | 0.364396i | ||||
\(201\) | −1.67150 | + | 2.89513i | −0.117899 | + | 0.204207i | ||||
\(202\) | 6.88943 | − | 15.5374i | 0.484739 | − | 1.09321i | ||||
\(203\) | 9.06309 | − | 9.06309i | 0.636104 | − | 0.636104i | ||||
\(204\) | −28.1259 | − | 9.04434i | −1.96921 | − | 0.633230i | ||||
\(205\) | −7.16125 | − | 11.6611i | −0.500163 | − | 0.814445i | ||||
\(206\) | 6.15342 | + | 0.965032i | 0.428729 | + | 0.0672369i | ||||
\(207\) | 29.6067 | + | 29.6067i | 2.05781 | + | 2.05781i | ||||
\(208\) | 8.53276 | + | 11.6272i | 0.591641 | + | 0.806202i | ||||
\(209\) | 0.135738i | 0.00938918i | ||||||||
\(210\) | 13.9510 | + | 18.0884i | 0.962708 | + | 1.24822i | ||||
\(211\) | −11.8019 | + | 6.81385i | −0.812478 | + | 0.469085i | −0.847816 | − | 0.530291i | \(-0.822083\pi\) |
0.0353375 | + | 0.999375i | \(0.488749\pi\) | |||||||
\(212\) | −11.7891 | + | 6.05201i | −0.809679 | + | 0.415654i | ||||
\(213\) | −14.7299 | − | 14.7299i | −1.00927 | − | 1.00927i | ||||
\(214\) | −8.38742 | + | 3.23425i | −0.573352 | + | 0.221089i | ||||
\(215\) | −6.29114 | − | 21.1643i | −0.429052 | − | 1.44339i | ||||
\(216\) | −30.0067 | − | 15.1174i | −2.04170 | − | 1.02861i | ||||
\(217\) | −3.94185 | − | 14.7112i | −0.267590 | − | 0.998661i | ||||
\(218\) | −5.07596 | + | 3.69969i | −0.343787 | + | 0.250574i | ||||
\(219\) | −0.127800 | − | 0.221357i | −0.00863596 | − | 0.0149579i | ||||
\(220\) | −0.130105 | − | 0.532552i | −0.00877168 | − | 0.0359047i | ||||
\(221\) | −0.912722 | + | 16.9932i | −0.0613963 | + | 1.14309i | ||||
\(222\) | −1.90728 | − | 17.8853i | −0.128009 | − | 1.20039i | ||||
\(223\) | −3.60348 | − | 0.965549i | −0.241307 | − | 0.0646579i | 0.136139 | − | 0.990690i | \(-0.456531\pi\) |
−0.377445 | + | 0.926032i | \(0.623197\pi\) | |||||||
\(224\) | 3.47487 | + | 12.5854i | 0.232174 | + | 0.840899i | ||||
\(225\) | 30.3038 | + | 15.3677i | 2.02026 | + | 1.02452i | ||||
\(226\) | 13.1003 | + | 10.5756i | 0.871422 | + | 0.703476i | ||||
\(227\) | 9.33919 | − | 2.50243i | 0.619864 | − | 0.166092i | 0.0647979 | − | 0.997898i | \(-0.479360\pi\) |
0.555066 | + | 0.831806i | \(0.312693\pi\) | |||||||
\(228\) | −3.16545 | − | 6.16618i | −0.209637 | − | 0.408365i | ||||
\(229\) | 28.3918i | 1.87618i | 0.346392 | + | 0.938090i | \(0.387407\pi\) | ||||
−0.346392 | + | 0.938090i | \(0.612593\pi\) | |||||||
\(230\) | −7.50074 | − | 17.9824i | −0.494584 | − | 1.18573i | ||||
\(231\) | 0.766879 | − | 0.442758i | 0.0504569 | − | 0.0291313i | ||||
\(232\) | 10.4567 | − | 11.7202i | 0.686515 | − | 0.769472i | ||||
\(233\) | 14.0301 | + | 14.0301i | 0.919144 | + | 0.919144i | 0.996967 | − | 0.0778228i | \(-0.0247969\pi\) |
−0.0778228 | + | 0.996967i | \(0.524797\pi\) | |||||||
\(234\) | −7.19686 | + | 33.8950i | −0.470474 | + | 2.21579i | ||||
\(235\) | 7.84830 | + | 7.43352i | 0.511966 | + | 0.484910i | ||||
\(236\) | −9.91692 | − | 10.9468i | −0.645536 | − | 0.712577i | ||||
\(237\) | −23.9118 | − | 6.40715i | −1.55324 | − | 0.416189i | ||||
\(238\) | −6.24482 | + | 14.0836i | −0.404792 | + | 0.912905i | ||||
\(239\) | −24.1885 | −1.56463 | −0.782313 | − | 0.622886i | \(-0.785960\pi\) | ||||
−0.782313 | + | 0.622886i | \(0.785960\pi\) | |||||||
\(240\) | 18.3296 | + | 21.1582i | 1.18317 | + | 1.36576i | ||||
\(241\) | 0.656375 | − | 1.13688i | 0.0422808 | − | 0.0732326i | −0.844111 | − | 0.536169i | \(-0.819871\pi\) |
0.886391 | + | 0.462937i | \(0.153204\pi\) | |||||||
\(242\) | 15.4475 | − | 1.64732i | 0.993004 | − | 0.105893i | ||||
\(243\) | −4.37932 | − | 16.3438i | −0.280933 | − | 1.04846i | ||||
\(244\) | 4.39261 | + | 4.84880i | 0.281208 | + | 0.310413i | ||||
\(245\) | −3.18758 | + | 1.95754i | −0.203647 | + | 0.125063i | ||||
\(246\) | 17.0149 | − | 21.0770i | 1.08483 | − | 1.34382i | ||||
\(247\) | −2.97042 | + | 2.66760i | −0.189003 | + | 0.169735i | ||||
\(248\) | −5.84826 | − | 17.7240i | −0.371365 | − | 1.12547i | ||||
\(249\) | 21.4187 | − | 12.3661i | 1.35736 | − | 0.783669i | ||||
\(250\) | −10.3213 | − | 11.9779i | −0.652775 | − | 0.757552i | ||||
\(251\) | 6.29938 | + | 3.63695i | 0.397613 | + | 0.229562i | 0.685454 | − | 0.728116i | \(-0.259604\pi\) |
−0.287840 | + | 0.957678i | \(0.592937\pi\) | |||||||
\(252\) | −17.0048 | + | 26.3600i | −1.07120 | + | 1.66053i | ||||
\(253\) | −0.729557 | + | 0.195484i | −0.0458669 | + | 0.0122900i | ||||
\(254\) | 22.4670 | − | 8.66344i | 1.40971 | − | 0.543593i | ||||
\(255\) | 0.896204 | + | 33.0194i | 0.0561225 | + | 2.06776i | ||||
\(256\) | 5.12873 | + | 15.1557i | 0.320546 | + | 0.947233i | ||||
\(257\) | 23.4858 | + | 6.29299i | 1.46500 | + | 0.392546i | 0.901214 | − | 0.433373i | \(-0.142677\pi\) |
0.563788 | + | 0.825920i | \(0.309344\pi\) | |||||||
\(258\) | 35.3193 | − | 25.7430i | 2.19888 | − | 1.60269i | ||||
\(259\) | −9.37928 | −0.582800 | ||||||||
\(260\) | 9.09722 | − | 13.3132i | 0.564185 | − | 0.825648i | ||||
\(261\) | 37.7372 | 2.33588 | ||||||||
\(262\) | 2.08928 | − | 1.52280i | 0.129076 | − | 0.0940789i | ||||
\(263\) | 9.60768 | + | 2.57437i | 0.592435 | + | 0.158742i | 0.542566 | − | 0.840013i | \(-0.317453\pi\) |
0.0498690 | + | 0.998756i | \(0.484120\pi\) | |||||||
\(264\) | 0.907393 | − | 0.595162i | 0.0558462 | − | 0.0366297i | ||||
\(265\) | 10.7568 | + | 10.1884i | 0.660787 | + | 0.625865i | ||||
\(266\) | −3.37229 | + | 1.30038i | −0.206768 | + | 0.0797313i | ||||
\(267\) | −46.7880 | + | 12.5368i | −2.86338 | + | 0.767240i | ||||
\(268\) | 1.79514 | + | 1.15804i | 0.109655 | + | 0.0707386i | ||||
\(269\) | 1.95971 | + | 1.13144i | 0.119486 | + | 0.0689851i | 0.558552 | − | 0.829470i | \(-0.311357\pi\) |
−0.439066 | + | 0.898455i | \(0.644691\pi\) | |||||||
\(270\) | −4.81115 | + | 37.2562i | −0.292798 | + | 2.26734i | ||||
\(271\) | −6.93055 | + | 4.00135i | −0.421001 | + | 0.243065i | −0.695505 | − | 0.718521i | \(-0.744819\pi\) |
0.274505 | + | 0.961586i | \(0.411486\pi\) | |||||||
\(272\) | −6.65863 | + | 17.6663i | −0.403739 | + | 1.07117i | ||||
\(273\) | 24.7602 | + | 8.08068i | 1.49856 | + | 0.489065i | ||||
\(274\) | 7.64135 | − | 9.46563i | 0.461631 | − | 0.571840i | ||||
\(275\) | −0.513401 | + | 0.334803i | −0.0309593 | + | 0.0201894i | ||||
\(276\) | 28.5829 | − | 25.8938i | 1.72049 | − | 1.55862i | ||||
\(277\) | 0.757420 | + | 2.82673i | 0.0455090 | + | 0.169842i | 0.984940 | − | 0.172896i | \(-0.0553124\pi\) |
−0.939431 | + | 0.342738i | \(0.888646\pi\) | |||||||
\(278\) | −18.5552 | + | 1.97872i | −1.11287 | + | 0.118676i | ||||
\(279\) | 22.4209 | − | 38.8341i | 1.34230 | − | 2.32494i | ||||
\(280\) | 11.9844 | − | 8.33423i | 0.716204 | − | 0.498066i | ||||
\(281\) | −20.0287 | −1.19481 | −0.597407 | − | 0.801938i | \(-0.703802\pi\) | ||||
−0.597407 | + | 0.801938i | \(0.703802\pi\) | |||||||
\(282\) | −8.67349 | + | 19.5608i | −0.516499 | + | 1.16483i | ||||
\(283\) | −15.1634 | − | 4.06302i | −0.901371 | − | 0.241522i | −0.221766 | − | 0.975100i | \(-0.571182\pi\) |
−0.679605 | + | 0.733578i | \(0.737849\pi\) | |||||||
\(284\) | −9.86533 | + | 8.93717i | −0.585400 | + | 0.530324i | ||||
\(285\) | −5.32892 | + | 5.62627i | −0.315658 | + | 0.333271i | ||||
\(286\) | −0.464602 | − | 0.418146i | −0.0274725 | − | 0.0247255i | ||||
\(287\) | −9.98789 | − | 9.98789i | −0.589566 | − | 0.589566i | ||||
\(288\) | −18.9675 | + | 33.4362i | −1.11767 | + | 1.97025i | ||||
\(289\) | −4.57014 | + | 2.63857i | −0.268832 | + | 0.155210i | ||||
\(290\) | −16.2407 | − | 6.68009i | −0.953685 | − | 0.392268i | ||||
\(291\) | − | 6.25789i | − | 0.366844i | ||||||
\(292\) | −0.145306 | + | 0.0745939i | −0.00850341 | + | 0.00436528i | ||||
\(293\) | 10.3383 | − | 2.77014i | 0.603969 | − | 0.161833i | 0.0561395 | − | 0.998423i | \(-0.482121\pi\) |
0.547830 | + | 0.836590i | \(0.315454\pi\) | |||||||
\(294\) | −5.76143 | − | 4.65105i | −0.336014 | − | 0.271255i | ||||
\(295\) | −7.86609 | + | 14.5206i | −0.457981 | + | 0.845421i | ||||
\(296\) | −11.4753 | + | 0.653821i | −0.666989 | + | 0.0380026i | ||||
\(297\) | 1.40660 | + | 0.376896i | 0.0816190 | + | 0.0218697i | ||||
\(298\) | 0.488404 | + | 4.57995i | 0.0282925 | + | 0.265310i | ||||
\(299\) | −18.6156 | − | 12.1235i | −1.07657 | − | 0.701121i | ||||
\(300\) | 15.5147 | − | 27.1818i | 0.895739 | − | 1.56934i | ||||
\(301\) | −11.3952 | − | 19.7370i | −0.656807 | − | 1.13762i | ||||
\(302\) | −21.7486 | + | 15.8518i | −1.25149 | + | 0.912168i | ||||
\(303\) | −9.73531 | − | 36.3327i | −0.559279 | − | 2.08726i | ||||
\(304\) | −4.03526 | + | 1.82606i | −0.231438 | + | 0.104732i | ||||
\(305\) | 3.48422 | − | 6.43177i | 0.199506 | − | 0.368282i | ||||
\(306\) | −42.3222 | + | 16.3197i | −2.41940 | + | 0.932937i | ||||
\(307\) | −0.413685 | − | 0.413685i | −0.0236103 | − | 0.0236103i | 0.695203 | − | 0.718813i | \(-0.255314\pi\) |
−0.718813 | + | 0.695203i | \(0.755314\pi\) | |||||||
\(308\) | −0.258427 | − | 0.503406i | −0.0147252 | − | 0.0286842i | ||||
\(309\) | 11.9378 | − | 6.89227i | 0.679116 | − | 0.392088i | ||||
\(310\) | −16.5234 | + | 12.7439i | −0.938463 | + | 0.723803i | ||||
\(311\) | − | 25.9366i | − | 1.47073i | −0.677671 | − | 0.735365i | \(-0.737011\pi\) | ||
0.677671 | − | 0.735365i | \(-0.262989\pi\) | |||||||
\(312\) | 30.8568 | + | 8.16049i | 1.74692 | + | 0.461997i | ||||
\(313\) | −3.33337 | − | 3.33337i | −0.188413 | − | 0.188413i | 0.606597 | − | 0.795010i | \(-0.292534\pi\) |
−0.795010 | + | 0.606597i | \(0.792534\pi\) | |||||||
\(314\) | −0.800414 | − | 0.125528i | −0.0451700 | − | 0.00708394i | ||||
\(315\) | 34.1104 | + | 8.15474i | 1.92190 | + | 0.459467i | ||||
\(316\) | −4.84269 | + | 15.0597i | −0.272423 | + | 0.847175i | ||||
\(317\) | 10.3812 | − | 10.3812i | 0.583067 | − | 0.583067i | −0.352678 | − | 0.935745i | \(-0.614729\pi\) |
0.935745 | + | 0.352678i | \(0.114729\pi\) | |||||||
\(318\) | −11.8878 | + | 26.8100i | −0.666637 | + | 1.50343i | ||||
\(319\) | −0.340370 | + | 0.589537i | −0.0190570 | + | 0.0330078i | ||||
\(320\) | 14.0816 | − | 11.0321i | 0.787186 | − | 0.616716i | ||||
\(321\) | −9.94718 | + | 17.2290i | −0.555197 | + | 0.961630i | ||||
\(322\) | −11.8458 | − | 16.2525i | −0.660143 | − | 0.905714i | ||||
\(323\) | −5.04823 | − | 1.35267i | −0.280891 | − | 0.0752645i | ||||
\(324\) | −32.8305 | + | 7.08261i | −1.82392 | + | 0.393478i | ||||
\(325\) | −17.4163 | − | 4.65529i | −0.966084 | − | 0.258229i | ||||
\(326\) | 6.20167 | − | 7.68225i | 0.343479 | − | 0.425480i | ||||
\(327\) | −3.59779 | + | 13.4271i | −0.198958 | + | 0.742522i | ||||
\(328\) | −12.9162 | − | 11.5237i | −0.713177 | − | 0.636289i | ||||
\(329\) | 9.66300 | + | 5.57893i | 0.532738 | + | 0.307577i | ||||
\(330\) | −0.964359 | − | 0.736196i | −0.0530862 | − | 0.0405263i | ||||
\(331\) | −0.333177 | − | 0.192360i | −0.0183131 | − | 0.0105731i | 0.490816 | − | 0.871264i | \(-0.336699\pi\) |
−0.509129 | + | 0.860690i | \(0.670032\pi\) | |||||||
\(332\) | −7.21778 | − | 14.0600i | −0.396127 | − | 0.771641i | ||||
\(333\) | −19.5269 | − | 19.5269i | −1.07007 | − | 1.07007i | ||||
\(334\) | 1.10080 | − | 0.424475i | 0.0602330 | − | 0.0232263i | ||||
\(335\) | 0.555343 | − | 2.32294i | 0.0303416 | − | 0.126916i | ||||
\(336\) | 23.4792 | + | 16.8417i | 1.28089 | + | 0.918790i | ||||
\(337\) | −14.5393 | + | 14.5393i | −0.792007 | + | 0.792007i | −0.981820 | − | 0.189813i | \(-0.939212\pi\) |
0.189813 | + | 0.981820i | \(0.439212\pi\) | |||||||
\(338\) | 0.0198682 | − | 18.3848i | 0.00108069 | − | 0.999999i | ||||
\(339\) | 37.2603 | 2.02370 | ||||||||
\(340\) | 21.1027 | + | 0.468308i | 1.14445 | + | 0.0253976i | ||||
\(341\) | 0.404449 | + | 0.700526i | 0.0219021 | + | 0.0379356i | ||||
\(342\) | −9.72811 | − | 4.31355i | −0.526036 | − | 0.233250i | ||||
\(343\) | −14.1545 | + | 14.1545i | −0.764271 | + | 0.764271i | ||||
\(344\) | −15.3176 | − | 23.3534i | −0.825868 | − | 1.25913i | ||||
\(345\) | −37.9143 | − | 20.5389i | −2.04124 | − | 1.10578i | ||||
\(346\) | 14.6739 | + | 11.8459i | 0.788876 | + | 0.636838i | ||||
\(347\) | 9.82952 | − | 2.63381i | 0.527676 | − | 0.141390i | 0.0148613 | − | 0.999890i | \(-0.495269\pi\) |
0.512815 | + | 0.858499i | \(0.328603\pi\) | |||||||
\(348\) | 1.71382 | − | 34.7185i | 0.0918705 | − | 1.86111i | ||||
\(349\) | −13.3103 | + | 7.68472i | −0.712486 | + | 0.411354i | −0.811981 | − | 0.583684i | \(-0.801611\pi\) |
0.0994949 | + | 0.995038i | \(0.468277\pi\) | |||||||
\(350\) | −13.2363 | − | 9.54757i | −0.707510 | − | 0.510339i | ||||
\(351\) | 19.3954 | + | 38.1882i | 1.03525 | + | 2.03834i | ||||
\(352\) | −0.351270 | − | 0.597890i | −0.0187228 | − | 0.0318676i | ||||
\(353\) | 6.23302 | − | 23.2620i | 0.331750 | − | 1.23811i | −0.575599 | − | 0.817732i | \(-0.695231\pi\) |
0.907349 | − | 0.420377i | \(-0.138102\pi\) | |||||||
\(354\) | −32.2945 | − | 5.06470i | −1.71643 | − | 0.269186i | ||||
\(355\) | 13.0860 | + | 7.08895i | 0.694534 | + | 0.376243i | ||||
\(356\) | 6.52745 | + | 30.2572i | 0.345954 | + | 1.60363i | ||||
\(357\) | 8.82443 | + | 32.9332i | 0.467038 | + | 1.74301i | ||||
\(358\) | 2.60675 | − | 5.87886i | 0.137771 | − | 0.310707i | ||||
\(359\) | −28.3442 | −1.49595 | −0.747975 | − | 0.663727i | \(-0.768974\pi\) | ||||
−0.747975 | + | 0.663727i | \(0.768974\pi\) | |||||||
\(360\) | 42.3017 | + | 7.59931i | 2.22950 | + | 0.400519i | ||||
\(361\) | 8.88694 | + | 15.3926i | 0.467734 | + | 0.810139i | ||||
\(362\) | 15.0042 | + | 20.5857i | 0.788601 | + | 1.08196i | ||||
\(363\) | 24.3108 | − | 24.3108i | 1.27598 | − | 1.27598i | ||||
\(364\) | 5.93754 | − | 15.5485i | 0.311212 | − | 0.814963i | ||||
\(365\) | 0.132583 | + | 0.125576i | 0.00693972 | + | 0.00657296i | ||||
\(366\) | 14.3046 | + | 2.24337i | 0.747713 | + | 0.117263i | ||||
\(367\) | 6.02030 | − | 22.4681i | 0.314257 | − | 1.17282i | −0.610422 | − | 0.792077i | \(-0.709000\pi\) |
0.924679 | − | 0.380748i | \(-0.124333\pi\) | |||||||
\(368\) | −15.6260 | − | 19.0587i | −0.814563 | − | 0.993504i | ||||
\(369\) | − | 41.5880i | − | 2.16498i | ||||||
\(370\) | 4.94706 | + | 11.8602i | 0.257185 | + | 0.616582i | ||||
\(371\) | 13.2441 | + | 7.64646i | 0.687597 | + | 0.396984i | ||||
\(372\) | −34.7094 | − | 22.3910i | −1.79960 | − | 1.16092i | ||||
\(373\) | 25.9869 | − | 6.96316i | 1.34555 | − | 0.360539i | 0.487059 | − | 0.873369i | \(-0.338070\pi\) |
0.858490 | + | 0.512831i | \(0.171403\pi\) | |||||||
\(374\) | 0.126774 | − | 0.808359i | 0.00655531 | − | 0.0417992i | ||||
\(375\) | −34.4242 | − | 6.27819i | −1.77766 | − | 0.324204i | ||||
\(376\) | 12.2113 | + | 6.15209i | 0.629751 | + | 0.317270i | ||||
\(377\) | −19.5903 | + | 4.13744i | −1.00895 | + | 0.213089i | ||||
\(378\) | 4.11163 | + | 38.5563i | 0.211479 | + | 1.98312i | ||||
\(379\) | 13.1019 | + | 22.6931i | 0.672998 | + | 1.16567i | 0.977050 | + | 0.213011i | \(0.0683269\pi\) |
−0.304052 | + | 0.952655i | \(0.598340\pi\) | |||||||
\(380\) | 3.42304 | + | 3.57841i | 0.175598 | + | 0.183569i | ||||
\(381\) | 26.6451 | − | 46.1506i | 1.36507 | − | 2.36437i | ||||
\(382\) | 0.0317500 | + | 0.297732i | 0.00162447 | + | 0.0152333i | ||||
\(383\) | −1.89747 | − | 7.08144i | −0.0969560 | − | 0.361845i | 0.900353 | − | 0.435161i | \(-0.143308\pi\) |
−0.997309 | + | 0.0733161i | \(0.976642\pi\) | |||||||
\(384\) | 29.9002 | + | 18.9687i | 1.52584 | + | 0.967991i | ||||
\(385\) | −0.435052 | + | 0.459327i | −0.0221723 | + | 0.0234095i | ||||
\(386\) | 13.1060 | − | 5.05377i | 0.667078 | − | 0.257230i | ||||
\(387\) | 17.3671 | − | 64.8147i | 0.882817 | − | 3.29472i | ||||
\(388\) | −3.99406 | − | 0.197160i | −0.202768 | − | 0.0100093i | ||||
\(389\) | − | 1.21458i | − | 0.0615814i | −0.999526 | − | 0.0307907i | \(-0.990197\pi\) | ||
0.999526 | − | 0.0307907i | \(-0.00980254\pi\) | |||||||
\(390\) | −2.84158 | − | 35.5717i | −0.143889 | − | 1.80124i | ||||
\(391\) | − | 29.0810i | − | 1.47069i | ||||||
\(392\) | −3.15003 | + | 3.53067i | −0.159100 | + | 0.178326i | ||||
\(393\) | 1.48086 | − | 5.52664i | 0.0746995 | − | 0.278782i | ||||
\(394\) | −8.12435 | − | 21.0690i | −0.409299 | − | 1.06144i | ||||
\(395\) | 17.6799 | − | 0.479862i | 0.889571 | − | 0.0241445i | ||||
\(396\) | 0.510027 | − | 1.58607i | 0.0256298 | − | 0.0797032i | ||||
\(397\) | 0.346410 | + | 1.29282i | 0.0173858 | + | 0.0648847i | 0.974074 | − | 0.226231i | \(-0.0726403\pi\) |
−0.956688 | + | 0.291115i | \(0.905974\pi\) | |||||||
\(398\) | 29.3255 | − | 3.12726i | 1.46995 | − | 0.156755i | ||||
\(399\) | −3.99941 | + | 6.92718i | −0.200221 | + | 0.346793i | ||||
\(400\) | −16.8598 | − | 10.7585i | −0.842992 | − | 0.537926i | ||||
\(401\) | −5.70095 | − | 9.87433i | −0.284692 | − | 0.493101i | 0.687843 | − | 0.725860i | \(-0.258558\pi\) |
−0.972534 | + | 0.232759i | \(0.925225\pi\) | |||||||
\(402\) | 4.70107 | − | 0.501320i | 0.234468 | − | 0.0250036i | ||||
\(403\) | −7.38151 | + | 22.6179i | −0.367699 | + | 1.12668i | ||||
\(404\) | −23.4959 | + | 5.06882i | −1.16896 | + | 0.252183i | ||||
\(405\) | 19.6504 | + | 31.9980i | 0.976438 | + | 1.58999i | ||||
\(406\) | −17.9073 | − | 2.80837i | −0.888725 | − | 0.139377i | ||||
\(407\) | 0.481174 | − | 0.128930i | 0.0238509 | − | 0.00639084i | ||||
\(408\) | 13.0922 | + | 39.6778i | 0.648161 | + | 1.96435i | ||||
\(409\) | −11.3662 | − | 6.56231i | −0.562025 | − | 0.324485i | 0.191933 | − | 0.981408i | \(-0.438524\pi\) |
−0.753958 | + | 0.656923i | \(0.771858\pi\) | |||||||
\(410\) | −7.36173 | + | 17.8979i | −0.363570 | + | 0.883913i | ||||
\(411\) | − | 26.9224i | − | 1.32798i | ||||||
\(412\) | −4.02284 | − | 7.83636i | −0.198191 | − | 0.386070i | ||||
\(413\) | −4.41182 | + | 16.4651i | −0.217092 | + | 0.810197i | ||||
\(414\) | 9.17421 | − | 58.4984i | 0.450888 | − | 2.87504i | ||||
\(415\) | −12.1509 | + | 12.8289i | −0.596463 | + | 0.629745i | ||||
\(416\) | 6.18056 | − | 19.4371i | 0.303027 | − | 0.952982i | ||||
\(417\) | −29.2015 | + | 29.2015i | −1.43001 | + | 1.43001i | ||||
\(418\) | 0.155129 | − | 0.113068i | 0.00758762 | − | 0.00553035i | ||||
\(419\) | 16.7642 | + | 29.0364i | 0.818984 | + | 1.41852i | 0.906432 | + | 0.422352i | \(0.138795\pi\) |
−0.0874483 | + | 0.996169i | \(0.527871\pi\) | |||||||
\(420\) | 9.05152 | − | 31.0115i | 0.441669 | − | 1.51320i | ||||
\(421\) | 10.3002 | 0.502000 | 0.251000 | − | 0.967987i | \(-0.419241\pi\) | ||||
0.251000 | + | 0.967987i | \(0.419241\pi\) | |||||||
\(422\) | 17.6182 | + | 7.81208i | 0.857639 | + | 0.380286i | ||||
\(423\) | 8.50269 | + | 31.7325i | 0.413415 | + | 1.54289i | ||||
\(424\) | 16.7368 | + | 8.43202i | 0.812811 | + | 0.409495i | ||||
\(425\) | −7.33546 | − | 22.4303i | −0.355822 | − | 1.08803i | ||||
\(426\) | −4.56433 | + | 29.1040i | −0.221143 | + | 1.41009i | ||||
\(427\) | 1.95418 | − | 7.29309i | 0.0945693 | − | 0.352938i | ||||
\(428\) | 10.6829 | + | 6.89155i | 0.516379 | + | 0.333115i | ||||
\(429\) | −1.38133 | − | 0.0741923i | −0.0666911 | − | 0.00358204i | ||||
\(430\) | −18.9474 | + | 24.8195i | −0.913723 | + | 1.19690i | ||||
\(431\) | 13.7108 | − | 7.91594i | 0.660426 | − | 0.381297i | −0.132013 | − | 0.991248i | \(-0.542144\pi\) |
0.792439 | + | 0.609951i | \(0.208811\pi\) | |||||||
\(432\) | 7.71820 | + | 46.8861i | 0.371342 | + | 2.25581i | ||||
\(433\) | −14.3853 | + | 3.85454i | −0.691315 | + | 0.185237i | −0.587337 | − | 0.809342i | \(-0.699824\pi\) |
−0.103978 | + | 0.994580i | \(0.533157\pi\) | |||||||
\(434\) | −13.5293 | + | 16.7593i | −0.649427 | + | 0.804470i | ||||
\(435\) | −37.2528 | + | 11.0735i | −1.78613 | + | 0.530933i | ||||
\(436\) | 8.45644 | + | 2.71930i | 0.404990 | + | 0.130231i | ||||
\(437\) | 4.82425 | − | 4.82425i | 0.230775 | − | 0.230775i | ||||
\(438\) | −0.146523 | + | 0.330446i | −0.00700116 | + | 0.0157893i | ||||
\(439\) | −4.52183 | − | 7.83204i | −0.215815 | − | 0.373803i | 0.737709 | − | 0.675118i | \(-0.235908\pi\) |
−0.953524 | + | 0.301316i | \(0.902574\pi\) | |||||||
\(440\) | −0.500256 | + | 0.592302i | −0.0238488 | + | 0.0282369i | ||||
\(441\) | −11.3682 | −0.541341 | ||||||||
\(442\) | 20.1812 | − | 13.1121i | 0.959920 | − | 0.623678i | ||||
\(443\) | −10.0969 | + | 10.0969i | −0.479716 | + | 0.479716i | −0.905041 | − | 0.425325i | \(-0.860160\pi\) |
0.425325 | + | 0.905041i | \(0.360160\pi\) | |||||||
\(444\) | −18.8517 | + | 17.0781i | −0.894661 | + | 0.810489i | ||||
\(445\) | 29.4898 | − | 18.1102i | 1.39795 | − | 0.858504i | ||||
\(446\) | 1.89817 | + | 4.92256i | 0.0898812 | + | 0.233090i | ||||
\(447\) | 7.20777 | + | 7.20777i | 0.340916 | + | 0.340916i | ||||
\(448\) | 11.4888 | − | 14.4548i | 0.542797 | − | 0.682926i | ||||
\(449\) | −0.165357 | − | 0.0954686i | −0.00780366 | − | 0.00450544i | 0.496093 | − | 0.868269i | \(-0.334767\pi\) |
−0.503897 | + | 0.863764i | \(0.668101\pi\) | |||||||
\(450\) | −7.67964 | − | 47.4342i | −0.362022 | − | 2.23607i | ||||
\(451\) | 0.649694 | + | 0.375101i | 0.0305929 | + | 0.0176628i | ||||
\(452\) | 1.17392 | − | 23.7812i | 0.0552165 | − | 1.11857i | ||||
\(453\) | −15.4152 | + | 57.5303i | −0.724269 | + | 2.70301i | ||||
\(454\) | −10.6394 | − | 8.58888i | −0.499331 | − | 0.403096i | ||||
\(455\) | −18.6016 | − | 0.493510i | −0.872056 | − | 0.0231361i | ||||
\(456\) | −4.41029 | + | 8.75403i | −0.206531 | + | 0.409945i | ||||
\(457\) | −25.7744 | − | 6.90622i | −1.20567 | − | 0.323059i | −0.400610 | − | 0.916249i | \(-0.631202\pi\) |
−0.805063 | + | 0.593189i | \(0.797869\pi\) | |||||||
\(458\) | 32.4478 | − | 23.6500i | 1.51619 | − | 1.10509i | ||||
\(459\) | −28.0343 | + | 48.5568i | −1.30853 | + | 2.26644i | ||||
\(460\) | −14.3034 | + | 23.5515i | −0.666898 | + | 1.09809i | ||||
\(461\) | 18.4686 | − | 31.9886i | 0.860170 | − | 1.48986i | −0.0115952 | − | 0.999933i | \(-0.503691\pi\) |
0.871765 | − | 0.489925i | \(-0.162976\pi\) | |||||||
\(462\) | −1.14481 | − | 0.507622i | −0.0532615 | − | 0.0236167i | ||||
\(463\) | 0.145585 | − | 0.145585i | 0.00676593 | − | 0.00676593i | −0.703716 | − | 0.710482i | \(-0.748477\pi\) |
0.710482 | + | 0.703716i | \(0.248477\pi\) | |||||||
\(464\) | −22.1049 | − | 2.18767i | −1.02619 | − | 0.101560i | ||||
\(465\) | −10.7377 | + | 44.9147i | −0.497949 | + | 2.08287i | ||||
\(466\) | 4.34751 | − | 27.7214i | 0.201394 | − | 1.28417i | ||||
\(467\) | 21.9300 | + | 21.9300i | 1.01480 | + | 1.01480i | 0.999889 | + | 0.0149099i | \(0.00474613\pi\) |
0.0149099 | + | 0.999889i | \(0.495254\pi\) | |||||||
\(468\) | 44.7322 | − | 20.0092i | 2.06775 | − | 0.924927i | ||||
\(469\) | − | 2.46529i | − | 0.113837i | ||||||
\(470\) | 1.95792 | − | 15.1616i | 0.0903120 | − | 0.699350i | ||||
\(471\) | −1.55282 | + | 0.896521i | −0.0715502 | + | 0.0413095i | ||||
\(472\) | −4.24998 | + | 20.4522i | −0.195621 | + | 0.941390i | ||||
\(473\) | 0.855905 | + | 0.855905i | 0.0393546 | + | 0.0393546i | ||||
\(474\) | 12.5958 | + | 32.6649i | 0.578546 | + | 1.50035i | ||||
\(475\) | 2.50409 | − | 4.93785i | 0.114896 | − | 0.226564i | ||||
\(476\) | 21.2975 | − | 4.59455i | 0.976168 | − | 0.210591i | ||||
\(477\) | 11.6537 | + | 43.4924i | 0.533588 | + | 1.99138i | ||||
\(478\) | 20.1488 | + | 27.6441i | 0.921585 | + | 1.26441i | ||||
\(479\) | 0.255418 | + | 0.442398i | 0.0116704 | + | 0.0202137i | 0.871802 | − | 0.489859i | \(-0.162952\pi\) |
−0.860131 | + | 0.510073i | \(0.829618\pi\) | |||||||
\(480\) | 8.91253 | − | 38.5727i | 0.406800 | − | 1.76060i | ||||
\(481\) | 12.2778 | + | 7.99597i | 0.559818 | + | 0.364585i | ||||
\(482\) | −1.84604 | + | 0.196861i | −0.0840849 | + | 0.00896678i | ||||
\(483\) | −42.9917 | − | 11.5196i | −1.95619 | − | 0.524159i | ||||
\(484\) | −14.7503 | − | 16.2821i | −0.670467 | − | 0.740097i | ||||
\(485\) | 1.27391 | + | 4.28560i | 0.0578452 | + | 0.194599i | ||||
\(486\) | −15.0308 | + | 18.6192i | −0.681810 | + | 0.844584i | ||||
\(487\) | 14.3541 | − | 3.84616i | 0.650444 | − | 0.174286i | 0.0815146 | − | 0.996672i | \(-0.474024\pi\) |
0.568930 | + | 0.822386i | \(0.307358\pi\) | |||||||
\(488\) | 1.88249 | − | 9.05914i | 0.0852165 | − | 0.410088i | ||||
\(489\) | − | 21.8500i | − | 0.988093i | ||||||
\(490\) | 4.89242 | + | 2.01235i | 0.221017 | + | 0.0909085i | ||||
\(491\) | −10.1226 | + | 5.84427i | −0.456825 | + | 0.263748i | −0.710708 | − | 0.703487i | \(-0.751625\pi\) |
0.253883 | + | 0.967235i | \(0.418292\pi\) | |||||||
\(492\) | −38.2612 | − | 1.88870i | −1.72495 | − | 0.0851492i | ||||
\(493\) | −18.5336 | − | 18.5336i | −0.834712 | − | 0.834712i | ||||
\(494\) | 5.52302 | + | 1.17269i | 0.248492 | + | 0.0527618i | ||||
\(495\) | −1.86203 | + | 0.0505386i | −0.0836918 | + | 0.00227154i | ||||
\(496\) | −15.3845 | + | 21.4476i | −0.690784 | + | 0.963028i | ||||
\(497\) | 14.8385 | + | 3.97596i | 0.665596 | + | 0.178346i | ||||
\(498\) | −31.9743 | − | 14.1777i | −1.43280 | − | 0.635319i | ||||
\(499\) | 32.5293 | 1.45621 | 0.728105 | − | 0.685466i | \(-0.240401\pi\) | ||||
0.728105 | + | 0.685466i | \(0.240401\pi\) | |||||||
\(500\) | −5.09158 | + | 21.7733i | −0.227702 | + | 0.973731i | ||||
\(501\) | 1.30551 | − | 2.26120i | 0.0583257 | − | 0.101023i | ||||
\(502\) | −1.09080 | − | 10.2289i | −0.0486848 | − | 0.456536i | ||||
\(503\) | −2.95078 | − | 11.0125i | −0.131569 | − | 0.491022i | 0.868420 | − | 0.495830i | \(-0.165136\pi\) |
−0.999988 | + | 0.00480844i | \(0.998469\pi\) | |||||||
\(504\) | 44.2907 | − | 2.52352i | 1.97286 | − | 0.112407i | ||||
\(505\) | 14.0632 | + | 22.9000i | 0.625806 | + | 1.01904i | ||||
\(506\) | 0.831125 | + | 0.670945i | 0.0369480 | + | 0.0298271i | ||||
\(507\) | −25.5230 | − | 31.6863i | −1.13352 | − | 1.40724i | ||||
\(508\) | −28.6159 | − | 18.4601i | −1.26963 | − | 0.819034i | ||||
\(509\) | −27.9786 | + | 16.1535i | −1.24013 | + | 0.715990i | −0.969121 | − | 0.246586i | \(-0.920691\pi\) |
−0.271011 | + | 0.962576i | \(0.587358\pi\) | |||||||
\(510\) | 36.9900 | − | 28.5291i | 1.63795 | − | 1.26329i | ||||
\(511\) | 0.163239 | + | 0.0942463i | 0.00722128 | + | 0.00416921i | ||||
\(512\) | 13.0487 | − | 18.4860i | 0.576676 | − | 0.816973i | ||||
\(513\) | −12.7057 | + | 3.40448i | −0.560971 | + | 0.150312i | ||||
\(514\) | −12.3714 | − | 32.0829i | −0.545679 | − | 1.41512i | ||||
\(515\) | −6.77232 | + | 7.15020i | −0.298424 | + | 0.315076i | ||||
\(516\) | −58.8413 | − | 18.9213i | −2.59034 | − | 0.832966i | ||||
\(517\) | −0.572419 | − | 0.153379i | −0.0251750 | − | 0.00674561i | ||||
\(518\) | 7.81284 | + | 10.7192i | 0.343277 | + | 0.470974i | ||||
\(519\) | 41.7360 | 1.83201 | ||||||||
\(520\) | −22.7930 | + | 0.692903i | −0.999538 | + | 0.0303858i | ||||
\(521\) | −37.4498 | −1.64071 | −0.820353 | − | 0.571857i | \(-0.806223\pi\) | ||||
−0.820353 | + | 0.571857i | \(0.806223\pi\) | |||||||
\(522\) | −31.4347 | − | 43.1284i | −1.37586 | − | 1.88768i | ||||
\(523\) | −29.6558 | − | 7.94623i | −1.29676 | − | 0.347465i | −0.456533 | − | 0.889706i | \(-0.650909\pi\) |
−0.840222 | + | 0.542242i | \(0.817576\pi\) | |||||||
\(524\) | −3.48069 | − | 1.11927i | −0.152055 | − | 0.0488956i | ||||
\(525\) | −36.0654 | + | 1.95920i | −1.57402 | + | 0.0855064i | ||||
\(526\) | −5.06096 | − | 13.1246i | −0.220668 | − | 0.572262i | ||||
\(527\) | −30.0837 | + | 8.06091i | −1.31047 | + | 0.351139i | ||||
\(528\) | −1.43604 | − | 0.541259i | −0.0624954 | − | 0.0235553i | ||||
\(529\) | 12.9583 | + | 7.48148i | 0.563404 | + | 0.325282i | ||||
\(530\) | 2.68351 | − | 20.7803i | 0.116564 | − | 0.902641i | ||||
\(531\) | −43.4642 | + | 25.0940i | −1.88618 | + | 1.08899i | ||||
\(532\) | 4.29523 | + | 2.77085i | 0.186222 | + | 0.120131i | ||||
\(533\) | 4.55963 | + | 21.5893i | 0.197499 | + | 0.935136i | ||||
\(534\) | 53.3018 | + | 43.0291i | 2.30659 | + | 1.86205i | ||||
\(535\) | 3.30487 | − | 13.8239i | 0.142882 | − | 0.597660i | ||||
\(536\) | −0.171853 | − | 3.01623i | −0.00742294 | − | 0.130281i | ||||
\(537\) | −3.68354 | − | 13.7472i | −0.158956 | − | 0.593234i | ||||
\(538\) | −0.339343 | − | 3.18215i | −0.0146301 | − | 0.137192i | ||||
\(539\) | 0.102535 | − | 0.177595i | 0.00441648 | − | 0.00764957i | ||||
\(540\) | 46.5862 | − | 25.5356i | 2.00475 | − | 1.09888i | ||||
\(541\) | −7.08138 | −0.304452 | −0.152226 | − | 0.988346i | \(-0.548644\pi\) | ||||
−0.152226 | + | 0.988346i | \(0.548644\pi\) | |||||||
\(542\) | 10.3461 | + | 4.58755i | 0.444401 | + | 0.197052i | ||||
\(543\) | 54.4540 | + | 14.5909i | 2.33685 | + | 0.626156i | ||||
\(544\) | 25.7366 | − | 7.10595i | 1.10345 | − | 0.304665i | ||||
\(545\) | −0.269456 | − | 9.92774i | −0.0115422 | − | 0.425258i | ||||
\(546\) | −11.3900 | − | 35.0286i | −0.487445 | − | 1.49909i | ||||
\(547\) | 25.0736 | + | 25.0736i | 1.07207 | + | 1.07207i | 0.997193 | + | 0.0748789i | \(0.0238570\pi\) |
0.0748789 | + | 0.997193i | \(0.476143\pi\) | |||||||
\(548\) | −17.1831 | − | 0.848212i | −0.734024 | − | 0.0362338i | ||||
\(549\) | 19.2521 | − | 11.1152i | 0.821659 | − | 0.474385i | ||||
\(550\) | 0.810291 | + | 0.307858i | 0.0345509 | + | 0.0131271i | ||||
\(551\) | − | 6.14908i | − | 0.261960i | ||||||
\(552\) | −53.4023 | − | 11.0970i | −2.27295 | − | 0.472320i | ||||
\(553\) | 17.6337 | − | 4.72494i | 0.749863 | − | 0.200925i | ||||
\(554\) | 2.59963 | − | 3.22026i | 0.110448 | − | 0.136816i | ||||
\(555\) | 25.0061 | + | 13.5463i | 1.06145 | + | 0.575008i | ||||
\(556\) | 17.7177 | + | 19.5577i | 0.751398 | + | 0.829433i | ||||
\(557\) | −8.19993 | − | 2.19716i | −0.347442 | − | 0.0930969i | 0.0808777 | − | 0.996724i | \(-0.474228\pi\) |
−0.428320 | + | 0.903627i | \(0.640894\pi\) | |||||||
\(558\) | −63.0583 | + | 6.72451i | −2.66947 | + | 0.284671i | ||||
\(559\) | −1.90947 | + | 35.5509i | −0.0807622 | + | 1.50364i | ||||
\(560\) | −19.5077 | − | 6.75413i | −0.824352 | − | 0.285414i | ||||
\(561\) | −0.905420 | − | 1.56823i | −0.0382268 | − | 0.0662108i | ||||
\(562\) | 16.6837 | + | 22.8900i | 0.703761 | + | 0.965558i | ||||
\(563\) | 8.96256 | + | 33.4487i | 0.377727 | + | 1.40970i | 0.849320 | + | 0.527879i | \(0.177013\pi\) |
−0.471593 | + | 0.881816i | \(0.656321\pi\) | |||||||
\(564\) | 29.5802 | − | 6.38141i | 1.24555 | − | 0.268706i | ||||
\(565\) | −25.5171 | + | 7.58502i | −1.07351 | + | 0.319104i | ||||
\(566\) | 7.98751 | + | 20.7141i | 0.335740 | + | 0.870679i | ||||
\(567\) | 27.4067 | + | 27.4067i | 1.15097 | + | 1.15097i | ||||
\(568\) | 18.4317 | + | 3.83011i | 0.773375 | + | 0.160708i | ||||
\(569\) | 6.84427 | − | 3.95154i | 0.286927 | − | 0.165657i | −0.349628 | − | 0.936888i | \(-0.613692\pi\) |
0.636555 | + | 0.771231i | \(0.280359\pi\) | |||||||
\(570\) | 10.8690 | + | 1.40359i | 0.455251 | + | 0.0587898i | ||||
\(571\) | 9.97332i | 0.417371i | 0.977983 | + | 0.208685i | \(0.0669184\pi\) | ||||
−0.977983 | + | 0.208685i | \(0.933082\pi\) | |||||||
\(572\) | −0.0908727 | + | 0.879286i | −0.00379958 | + | 0.0367648i | ||||
\(573\) | 0.468561 | + | 0.468561i | 0.0195744 | + | 0.0195744i | ||||
\(574\) | −3.09494 | + | 19.7346i | −0.129180 | + | 0.823705i | ||||
\(575\) | 30.1460 | + | 6.34757i | 1.25718 | + | 0.264712i | ||||
\(576\) | 54.0126 | − | 6.17493i | 2.25053 | − | 0.257289i | ||||
\(577\) | 30.7035 | − | 30.7035i | 1.27820 | − | 1.27820i | 0.336530 | − | 0.941673i | \(-0.390747\pi\) |
0.941673 | − | 0.336530i | \(-0.109253\pi\) | |||||||
\(578\) | 6.82240 | + | 3.02513i | 0.283775 | + | 0.125829i | ||||
\(579\) | 15.5432 | − | 26.9217i | 0.645955 | − | 1.11883i | ||||
\(580\) | 5.89391 | + | 24.1253i | 0.244731 | + | 1.00175i | ||||
\(581\) | −9.11936 | + | 15.7952i | −0.378335 | + | 0.655295i | ||||
\(582\) | −7.15189 | + | 5.21276i | −0.296455 | + | 0.216076i | ||||
\(583\) | −0.784555 | − | 0.210221i | −0.0324930 | − | 0.00870646i | ||||
\(584\) | 0.206289 | + | 0.103929i | 0.00853630 | + | 0.00430060i | ||||
\(585\) | −37.6996 | − | 39.7545i | −1.55868 | − | 1.64364i | ||||
\(586\) | −11.7776 | − | 9.50771i | −0.486527 | − | 0.392760i | ||||
\(587\) | 11.6297 | − | 43.4027i | 0.480010 | − | 1.79142i | −0.121539 | − | 0.992587i | \(-0.538783\pi\) |
0.601550 | − | 0.798835i | \(-0.294550\pi\) | |||||||
\(588\) | −0.516280 | + | 10.4588i | −0.0212910 | + | 0.431313i | ||||
\(589\) | −6.32781 | − | 3.65337i | −0.260733 | − | 0.150534i | ||||
\(590\) | 23.1474 | − | 3.10567i | 0.952962 | − | 0.127858i | ||||
\(591\) | −43.2789 | − | 24.9871i | −1.78025 | − | 1.02783i | ||||
\(592\) | 10.3060 | + | 12.5700i | 0.423576 | + | 0.516625i | ||||
\(593\) | 28.9408 | + | 28.9408i | 1.18846 | + | 1.18846i | 0.977494 | + | 0.210964i | \(0.0676602\pi\) |
0.210964 | + | 0.977494i | \(0.432340\pi\) | |||||||
\(594\) | −0.740941 | − | 1.92149i | −0.0304012 | − | 0.0788398i | ||||
\(595\) | −12.7474 | − | 20.7574i | −0.522593 | − | 0.850969i | ||||
\(596\) | 4.82741 | − | 4.37323i | 0.197738 | − | 0.179135i | ||||
\(597\) | 46.1514 | − | 46.1514i | 1.88885 | − | 1.88885i | ||||
\(598\) | 1.65111 | + | 31.3737i | 0.0675190 | + | 1.28297i | ||||
\(599\) | −29.7536 | −1.21570 | −0.607849 | − | 0.794053i | \(-0.707967\pi\) | ||||
−0.607849 | + | 0.794053i | \(0.707967\pi\) | |||||||
\(600\) | −43.9885 | + | 4.91112i | −1.79582 | + | 0.200495i | ||||
\(601\) | 12.9276 | + | 22.3913i | 0.527329 | + | 0.913360i | 0.999493 | + | 0.0318495i | \(0.0101397\pi\) |
−0.472164 | + | 0.881511i | \(0.656527\pi\) | |||||||
\(602\) | −13.0646 | + | 29.4638i | −0.532472 | + | 1.20086i | ||||
\(603\) | 5.13254 | − | 5.13254i | 0.209013 | − | 0.209013i | ||||
\(604\) | 36.2327 | + | 11.6512i | 1.47429 | + | 0.474081i | ||||
\(605\) | −11.6999 | + | 21.5977i | −0.475668 | + | 0.878071i | ||||
\(606\) | −33.4137 | + | 41.3909i | −1.35734 | + | 1.68139i | ||||
\(607\) | −22.8350 | + | 6.11861i | −0.926843 | + | 0.248347i | −0.690508 | − | 0.723325i | \(-0.742613\pi\) |
−0.236335 | + | 0.971672i | \(0.575946\pi\) | |||||||
\(608\) | 5.44826 | + | 3.09065i | 0.220956 | + | 0.125342i | ||||
\(609\) | −34.7405 | + | 20.0575i | −1.40776 | + | 0.812769i | ||||
\(610\) | −10.2529 | + | 1.37563i | −0.415129 | + | 0.0556977i | ||||
\(611\) | −7.89303 | − | 15.5408i | −0.319318 | − | 0.628715i | ||||
\(612\) | 53.9051 | + | 34.7741i | 2.17898 | + | 1.40566i | ||||
\(613\) | 8.91404 | − | 33.2677i | 0.360035 | − | 1.34367i | −0.513994 | − | 0.857794i | \(-0.671835\pi\) |
0.874029 | − | 0.485874i | \(-0.161499\pi\) | |||||||
\(614\) | −0.128188 | + | 0.817380i | −0.00517326 | + | 0.0329868i | ||||
\(615\) | 12.2034 | + | 41.0540i | 0.492090 | + | 1.65546i | ||||
\(616\) | −0.360055 | + | 0.714677i | −0.0145070 | + | 0.0287952i | ||||
\(617\) | 0.515342 | + | 1.92328i | 0.0207469 | + | 0.0774284i | 0.975523 | − | 0.219897i | \(-0.0705721\pi\) |
−0.954776 | + | 0.297325i | \(0.903905\pi\) | |||||||
\(618\) | −17.8209 | − | 7.90199i | −0.716863 | − | 0.317865i | ||||
\(619\) | −9.88711 | −0.397396 | −0.198698 | − | 0.980061i | \(-0.563671\pi\) | ||||
−0.198698 | + | 0.980061i | \(0.563671\pi\) | |||||||
\(620\) | 28.3282 | + | 8.26835i | 1.13769 | + | 0.332065i | ||||
\(621\) | −36.5965 | − | 63.3871i | −1.46857 | − | 2.54363i | ||||
\(622\) | −29.6419 | + | 21.6049i | −1.18853 | + | 0.866279i | ||||
\(623\) | 25.2585 | − | 25.2585i | 1.01196 | − | 1.01196i | ||||
\(624\) | −16.3771 | − | 42.0626i | −0.655610 | − | 1.68385i | ||||
\(625\) | 24.8529 | − | 2.70818i | 0.994115 | − | 0.108327i | ||||
\(626\) | −1.03291 | + | 6.58623i | −0.0412833 | + | 0.263239i | ||||
\(627\) | 0.109954 | − | 0.410354i | 0.00439115 | − | 0.0163880i | ||||
\(628\) | 0.523277 | + | 1.01932i | 0.0208810 | + | 0.0406755i | ||||
\(629\) | 19.1802i | 0.764764i | ||||||||
\(630\) | −19.0939 | − | 45.7762i | −0.760720 | − | 1.82377i | ||||
\(631\) | −0.431549 | − | 0.249155i | −0.0171797 | − | 0.00991871i | 0.491386 | − | 0.870942i | \(-0.336491\pi\) |
−0.508565 | + | 0.861023i | \(0.669824\pi\) | |||||||
\(632\) | 21.2451 | − | 7.01008i | 0.845083 | − | 0.278846i | ||||
\(633\) | 41.1984 | − | 11.0391i | 1.63749 | − | 0.438764i | ||||
\(634\) | −20.5117 | − | 3.21682i | −0.814624 | − | 0.127756i | ||||
\(635\) | −8.85261 | + | 37.0295i | −0.351305 | + | 1.46947i | ||||
\(636\) | 40.5425 | − | 8.74634i | 1.60762 | − | 0.346815i | ||||
\(637\) | 5.90148 | − | 1.24639i | 0.233825 | − | 0.0493836i | ||||
\(638\) | 0.957283 | − | 0.102084i | 0.0378992 | − | 0.00404155i | ||||
\(639\) | 22.6149 | + | 39.1701i | 0.894631 | + | 1.54955i | ||||
\(640\) | −24.3380 | − | 6.90364i | −0.962045 | − | 0.272890i | ||||
\(641\) | −12.7890 | + | 22.1512i | −0.505136 | + | 0.874921i | 0.494846 | + | 0.868981i | \(0.335224\pi\) |
−0.999982 | + | 0.00594081i | \(0.998109\pi\) | |||||||
\(642\) | 27.9763 | − | 2.98337i | 1.10413 | − | 0.117744i | ||||
\(643\) | 4.41272 | + | 16.4685i | 0.174021 | + | 0.649454i | 0.996716 | + | 0.0809721i | \(0.0258025\pi\) |
−0.822696 | + | 0.568482i | \(0.807531\pi\) | |||||||
\(644\) | −8.70680 | + | 27.0763i | −0.343096 | + | 1.06695i | ||||
\(645\) | 1.87492 | + | 69.0788i | 0.0738248 | + | 2.71997i | ||||
\(646\) | 2.65921 | + | 6.89617i | 0.104625 | + | 0.271326i | ||||
\(647\) | −9.58163 | + | 35.7591i | −0.376693 | + | 1.40584i | 0.474163 | + | 0.880437i | \(0.342751\pi\) |
−0.850856 | + | 0.525399i | \(0.823916\pi\) | |||||||
\(648\) | 35.4419 | + | 31.6209i | 1.39229 | + | 1.24219i | ||||
\(649\) | − | 0.905339i | − | 0.0355377i | ||||||
\(650\) | 9.18728 | + | 23.7822i | 0.360355 | + | 0.932815i | ||||
\(651\) | 47.6671i | 1.86822i | ||||||||
\(652\) | −13.9457 | − | 0.688404i | −0.546154 | − | 0.0269600i | ||||
\(653\) | 2.33882 | − | 8.72859i | 0.0915250 | − | 0.341576i | −0.904945 | − | 0.425529i | \(-0.860088\pi\) |
0.996470 | + | 0.0839532i | \(0.0267546\pi\) | |||||||
\(654\) | 18.3423 | − | 7.07290i | 0.717239 | − | 0.276572i | ||||
\(655\) | 0.110909 | + | 4.08628i | 0.00433356 | + | 0.159664i | ||||
\(656\) | −2.41090 | + | 24.3605i | −0.0941300 | + | 0.951117i | ||||
\(657\) | 0.143638 | + | 0.536064i | 0.00560385 | + | 0.0209139i | ||||
\(658\) | −1.67324 | − | 15.6906i | −0.0652298 | − | 0.611685i | ||||
\(659\) | 5.58784 | − | 9.67842i | 0.217671 | − | 0.377018i | −0.736424 | − | 0.676520i | \(-0.763487\pi\) |
0.954096 | + | 0.299502i | \(0.0968206\pi\) | |||||||
\(660\) | −0.0380673 | + | 1.71537i | −0.00148177 | + | 0.0667707i | ||||
\(661\) | 7.12565 | + | 12.3420i | 0.277156 | + | 0.480048i | 0.970677 | − | 0.240388i | \(-0.0772748\pi\) |
−0.693521 | + | 0.720436i | \(0.743942\pi\) | |||||||
\(662\) | 0.0576929 | + | 0.541008i | 0.00224230 | + | 0.0210269i | ||||
\(663\) | 16.5246 | − | 50.6336i | 0.641763 | − | 1.96644i | ||||
\(664\) | −10.0562 | + | 19.9607i | −0.390258 | + | 0.774626i | ||||
\(665\) | 1.32877 | − | 5.55811i | 0.0515275 | − | 0.215534i | ||||
\(666\) | −6.05079 | + | 38.5822i | −0.234463 | + | 1.49503i | ||||
\(667\) | 33.0498 | − | 8.85567i | 1.27969 | − | 0.342893i | ||||
\(668\) | −1.40207 | − | 0.904473i | −0.0542477 | − | 0.0349951i | ||||
\(669\) | 10.1117 | + | 5.83798i | 0.390940 | + | 0.225709i | ||||
\(670\) | −3.11739 | + | 1.30031i | −0.120435 | + | 0.0502353i | ||||
\(671\) | 0.401012i | 0.0154809i | ||||||||
\(672\) | −0.310213 | − | 40.8623i | −0.0119667 | − | 1.57630i | ||||
\(673\) | 2.85650 | − | 10.6606i | 0.110110 | − | 0.410936i | −0.888765 | − | 0.458364i | \(-0.848436\pi\) |
0.998875 | + | 0.0474279i | \(0.0151024\pi\) | |||||||
\(674\) | 28.7275 | + | 4.50529i | 1.10654 | + | 0.173537i | ||||
\(675\) | −44.2159 | − | 39.6595i | −1.70187 | − | 1.52650i | ||||
\(676\) | −21.0278 | + | 15.2916i | −0.808760 | + | 0.588139i | ||||
\(677\) | −8.11175 | + | 8.11175i | −0.311760 | + | 0.311760i | −0.845591 | − | 0.533831i | \(-0.820752\pi\) |
0.533831 | + | 0.845591i | \(0.320752\pi\) | |||||||
\(678\) | −31.0375 | − | 42.5833i | −1.19199 | − | 1.63540i | ||||
\(679\) | 2.30743 | + | 3.99659i | 0.0885512 | + | 0.153375i | ||||
\(680\) | −17.0431 | − | 24.5075i | −0.653574 | − | 0.939820i | ||||
\(681\) | −30.2608 | −1.15959 | ||||||||
\(682\) | 0.463701 | − | 1.04576i | 0.0177560 | − | 0.0400442i | ||||
\(683\) | −2.20085 | − | 8.21369i | −0.0842132 | − | 0.314288i | 0.910951 | − | 0.412515i | \(-0.135350\pi\) |
−0.995164 | + | 0.0982269i | \(0.968683\pi\) | |||||||
\(684\) | 3.17364 | + | 14.7110i | 0.121347 | + | 0.562489i | ||||
\(685\) | 5.48054 | + | 18.4373i | 0.209401 | + | 0.704454i | ||||
\(686\) | 27.9672 | + | 4.38605i | 1.06779 | + | 0.167460i | ||||
\(687\) | 22.9987 | − | 85.8323i | 0.877455 | − | 3.27471i | ||||
\(688\) | −13.9303 | + | 36.9590i | −0.531087 | + | 1.40905i | ||||
\(689\) | −10.8182 | − | 21.3002i | −0.412139 | − | 0.811473i | ||||
\(690\) | 8.10914 | + | 60.4394i | 0.308709 | + | 2.30089i | ||||
\(691\) | 41.5873 | − | 24.0104i | 1.58205 | − | 0.913400i | 0.587495 | − | 0.809228i | \(-0.300114\pi\) |
0.994559 | − | 0.104172i | \(-0.0332192\pi\) | |||||||
\(692\) | 1.31493 | − | 26.6377i | 0.0499860 | − | 1.01262i | ||||
\(693\) | −1.85717 | + | 0.497626i | −0.0705479 | + | 0.0189032i | ||||
\(694\) | −11.1980 | − | 9.03982i | −0.425069 | − | 0.343147i | ||||
\(695\) | 14.0537 | − | 25.9427i | 0.533085 | − | 0.984062i | ||||
\(696\) | −41.1060 | + | 26.9615i | −1.55812 | + | 1.02197i | ||||
\(697\) | −20.4248 | + | 20.4248i | −0.773644 | + | 0.773644i | ||||
\(698\) | 19.8699 | + | 8.81054i | 0.752088 | + | 0.333484i | ||||
\(699\) | −31.0500 | − | 53.7801i | −1.17442 | − | 2.03415i | ||||
\(700\) | 0.114176 | + | 23.0803i | 0.00431543 | + | 0.872352i | ||||
\(701\) | −14.4231 | −0.544752 | −0.272376 | − | 0.962191i | \(-0.587810\pi\) | ||||
−0.272376 | + | 0.962191i | \(0.587810\pi\) | |||||||
\(702\) | 27.4876 | − | 53.9766i | 1.03745 | − | 2.03722i | ||||
\(703\) | −3.18180 | + | 3.18180i | −0.120004 | + | 0.120004i | ||||
\(704\) | −0.390699 | + | 0.899489i | −0.0147250 | + | 0.0339008i | ||||
\(705\) | −17.7050 | − | 28.8301i | −0.666809 | − | 1.08580i | ||||
\(706\) | −31.7772 | + | 12.2535i | −1.19595 | + | 0.461167i | ||||
\(707\) | 19.6142 | + | 19.6142i | 0.737668 | + | 0.737668i | ||||
\(708\) | 21.1128 | + | 41.1270i | 0.793467 | + | 1.54565i | ||||
\(709\) | 8.86260 | + | 5.11682i | 0.332842 | + | 0.192166i | 0.657102 | − | 0.753802i | \(-0.271782\pi\) |
−0.324260 | + | 0.945968i | \(0.605115\pi\) | |||||||
\(710\) | −2.79885 | − | 20.8605i | −0.105039 | − | 0.782881i | ||||
\(711\) | 46.5490 | + | 26.8751i | 1.74572 | + | 1.00789i | ||||
\(712\) | 29.1424 | − | 32.6639i | 1.09216 | − | 1.22413i | ||||
\(713\) | 10.5229 | − | 39.2719i | 0.394085 | − | 1.47074i | ||||
\(714\) | 30.2874 | − | 37.5181i | 1.13348 | − | 1.40408i | ||||
\(715\) | 0.961080 | − | 0.230385i | 0.0359424 | − | 0.00861591i | ||||
\(716\) | −8.89010 | + | 1.91788i | −0.332239 | + | 0.0716746i | ||||
\(717\) | 73.1253 | + | 19.5939i | 2.73092 | + | 0.731747i | ||||
\(718\) | 23.6104 | + | 32.3934i | 0.881134 | + | 1.20891i | ||||
\(719\) | 4.17472 | − | 7.23083i | 0.155691 | − | 0.269664i | −0.777620 | − | 0.628735i | \(-0.783573\pi\) |
0.933310 | + | 0.359071i | \(0.116906\pi\) | |||||||
\(720\) | −26.5520 | − | 54.6750i | −0.989533 | − | 2.03762i | ||||
\(721\) | −5.08270 | + | 8.80349i | −0.189289 | + | 0.327859i | ||||
\(722\) | 10.1889 | − | 22.9784i | 0.379191 | − | 0.855169i | ||||
\(723\) | −2.90524 | + | 2.90524i | −0.108047 | + | 0.108047i | ||||
\(724\) | 11.0282 | − | 34.2953i | 0.409859 | − | 1.27457i | ||||
\(725\) | 23.2577 | − | 15.1670i | 0.863769 | − | 0.563287i | ||||
\(726\) | −48.0344 | − | 7.53316i | −1.78272 | − | 0.279582i | ||||
\(727\) | −0.316769 | − | 0.316769i | −0.0117483 | − | 0.0117483i | 0.701208 | − | 0.712957i | \(-0.252644\pi\) |
−0.712957 | + | 0.701208i | \(0.752644\pi\) | |||||||
\(728\) | −22.7157 | + | 6.16597i | −0.841898 | + | 0.228526i | ||||
\(729\) | 2.57844i | 0.0954976i | ||||||||
\(730\) | 0.0330756 | − | 0.256128i | 0.00122418 | − | 0.00947971i | ||||
\(731\) | −40.3613 | + | 23.3026i | −1.49282 | + | 0.861879i | ||||
\(732\) | −9.35173 | − | 18.2168i | −0.345650 | − | 0.673314i | ||||
\(733\) | −4.13907 | − | 4.13907i | −0.152880 | − | 0.152880i | 0.626523 | − | 0.779403i | \(-0.284477\pi\) |
−0.779403 | + | 0.626523i | \(0.784477\pi\) | |||||||
\(734\) | −30.6927 | + | 11.8353i | −1.13289 | + | 0.436850i | ||||
\(735\) | 11.2222 | − | 3.33584i | 0.413938 | − | 0.123044i | ||||
\(736\) | −8.76509 | + | 33.7341i | −0.323086 | + | 1.24345i | ||||
\(737\) | 0.0338887 | + | 0.126474i | 0.00124830 | + | 0.00465874i | ||||
\(738\) | −47.5292 | + | 34.6424i | −1.74957 | + | 1.27520i | ||||
\(739\) | −1.06786 | − | 1.84959i | −0.0392819 | − | 0.0680382i | 0.845716 | − | 0.533633i | \(-0.179174\pi\) |
−0.884998 | + | 0.465595i | \(0.845840\pi\) | |||||||
\(740\) | 9.43369 | − | 15.5332i | 0.346789 | − | 0.571013i | ||||
\(741\) | 11.1409 | − | 5.65834i | 0.409270 | − | 0.207864i | ||||
\(742\) | −2.29334 | − | 21.5055i | −0.0841911 | − | 0.789492i | ||||
\(743\) | 23.2094 | + | 6.21895i | 0.851472 | + | 0.228151i | 0.658059 | − | 0.752966i | \(-0.271378\pi\) |
0.193413 | + | 0.981117i | \(0.438044\pi\) | |||||||
\(744\) | 3.32283 | + | 58.3195i | 0.121821 | + | 2.13810i | ||||
\(745\) | −6.40339 | − | 3.46884i | −0.234602 | − | 0.127089i | ||||
\(746\) | −29.6047 | − | 23.8991i | −1.08391 | − | 0.875008i | ||||
\(747\) | −51.8701 | + | 13.8985i | −1.89783 | + | 0.508521i | ||||
\(748\) | −1.02944 | + | 0.528470i | −0.0376401 | + | 0.0193228i | ||||
\(749\) | − | 14.6711i | − | 0.536069i | ||||||
\(750\) | 21.5000 | + | 44.5717i | 0.785068 | + | 1.62753i | ||||
\(751\) | −13.3781 | + | 7.72387i | −0.488175 | + | 0.281848i | −0.723817 | − | 0.689992i | \(-0.757614\pi\) |
0.235642 | + | 0.971840i | \(0.424281\pi\) | |||||||
\(752\) | −3.14095 | − | 19.0805i | −0.114539 | − | 0.695793i | ||||
\(753\) | −16.0978 | − | 16.0978i | −0.586637 | − | 0.586637i | ||||
\(754\) | 21.0470 | + | 18.9425i | 0.766488 | + | 0.689845i | ||||
\(755\) | −1.15452 | − | 42.5367i | −0.0420172 | − | 1.54807i | ||||
\(756\) | 40.6395 | − | 36.8160i | 1.47804 | − | 1.33899i | ||||
\(757\) | −17.4391 | − | 4.67279i | −0.633835 | − | 0.169835i | −0.0724255 | − | 0.997374i | \(-0.523074\pi\) |
−0.561409 | + | 0.827538i | \(0.689741\pi\) | |||||||
\(758\) | 15.0213 | − | 33.8767i | 0.545598 | − | 1.23046i | ||||
\(759\) | 2.36391 | 0.0858043 | ||||||||
\(760\) | 1.23827 | − | 6.89284i | 0.0449167 | − | 0.250029i | ||||
\(761\) | 16.3207 | − | 28.2683i | 0.591626 | − | 1.02473i | −0.402388 | − | 0.915469i | \(-0.631820\pi\) |
0.994014 | − | 0.109257i | \(-0.0348470\pi\) | |||||||
\(762\) | −74.9388 | + | 7.99144i | −2.71474 | + | 0.289499i | ||||
\(763\) | −2.65319 | − | 9.90182i | −0.0960517 | − | 0.358470i | ||||
\(764\) | 0.313819 | − | 0.284294i | 0.0113536 | − | 0.0102854i | ||||
\(765\) | 16.6761 | − | 69.7543i | 0.602924 | − | 2.52197i | ||||
\(766\) | −6.51252 | + | 8.06731i | −0.235307 | + | 0.291484i | ||||
\(767\) | 19.8120 | − | 17.7922i | 0.715370 | − | 0.642440i | ||||
\(768\) | −3.22801 | − | 49.9724i | −0.116481 | − | 1.80322i | ||||
\(769\) | −31.0609 | + | 17.9330i | −1.12008 | + | 0.646681i | −0.941422 | − | 0.337230i | \(-0.890510\pi\) |
−0.178661 | + | 0.983911i | \(0.557177\pi\) | |||||||
\(770\) | 0.887341 | + | 0.114589i | 0.0319775 | + | 0.00412948i | ||||
\(771\) | −65.9032 | − | 38.0492i | −2.37344 | − | 1.37031i | ||||
\(772\) | −16.6929 | − | 10.7686i | −0.600791 | − | 0.387570i | ||||
\(773\) | −4.28307 | + | 1.14765i | −0.154051 | + | 0.0412780i | −0.335021 | − | 0.942211i | \(-0.608743\pi\) |
0.180969 | + | 0.983489i | \(0.442077\pi\) | |||||||
\(774\) | −88.5407 | + | 34.1419i | −3.18253 | + | 1.22721i | ||||
\(775\) | −1.78968 | − | 32.9449i | −0.0642872 | − | 1.18342i | ||||
\(776\) | 3.10169 | + | 4.72888i | 0.111344 | + | 0.169757i | ||||
\(777\) | 28.3549 | + | 7.59766i | 1.01723 | + | 0.272565i | ||||
\(778\) | −1.38809 | + | 1.01173i | −0.0497654 | + | 0.0362723i | ||||
\(779\) | −6.77654 | −0.242795 | ||||||||
\(780\) | −38.2865 | + | 32.8784i | −1.37088 | + | 1.17724i | ||||
\(781\) | −0.815896 | −0.0291950 | ||||||||
\(782\) | −33.2355 | + | 24.2242i | −1.18850 | + | 0.866256i | ||||
\(783\) | −63.7205 | − | 17.0738i | −2.27718 | − | 0.610169i | ||||
\(784\) | 6.65900 | + | 0.659026i | 0.237821 | + | 0.0235366i | ||||
\(785\) | 0.880918 | − | 0.930072i | 0.0314413 | − | 0.0331957i | ||||
\(786\) | −7.54971 | + | 2.91122i | −0.269289 | + | 0.103840i | ||||
\(787\) | −8.71683 | + | 2.33567i | −0.310722 | + | 0.0832576i | −0.410810 | − | 0.911721i | \(-0.634754\pi\) |
0.100089 | + | 0.994979i | \(0.468087\pi\) | |||||||
\(788\) | −17.3114 | + | 26.8353i | −0.616693 | + | 0.955966i | ||||
\(789\) | −26.9600 | − | 15.5654i | −0.959801 | − | 0.554141i | ||||
\(790\) | −15.2756 | − | 19.8059i | −0.543481 | − | 0.704662i | ||||
\(791\) | −23.7963 | + | 13.7388i | −0.846098 | + | 0.488495i | ||||
\(792\) | −2.23751 | + | 0.738294i | −0.0795063 | + | 0.0262341i | ||||
\(793\) | −8.77555 | + | 7.88092i | −0.311629 | + | 0.279860i | ||||
\(794\) | 1.18895 | − | 1.47280i | 0.0421944 | − | 0.0522678i | ||||
\(795\) | −24.2664 | − | 39.5144i | −0.860640 | − | 1.40143i | ||||
\(796\) | −28.0018 | − | 30.9099i | −0.992499 | − | 1.09557i | ||||
\(797\) | −3.73630 | − | 13.9440i | −0.132346 | − | 0.493924i | 0.867648 | − | 0.497178i | \(-0.165631\pi\) |
−0.999995 | + | 0.00325494i | \(0.998964\pi\) | |||||||
\(798\) | 11.2483 | − | 1.19951i | 0.398184 | − | 0.0424622i | ||||
\(799\) | 11.4087 | − | 19.7604i | 0.403610 | − | 0.699072i | ||||
\(800\) | 1.74860 | + | 28.2302i | 0.0618222 | + | 0.998087i | ||||
\(801\) | 105.172 | 3.71608 | ||||||||
\(802\) | −6.53614 | + | 14.7406i | −0.230799 | + | 0.520509i | ||||
\(803\) | −0.00967002 | − | 0.00259107i | −0.000341248 | − | 9.14370e-5i | ||||
\(804\) | −4.48888 | − | 4.95507i | −0.158311 | − | 0.174752i | ||||
\(805\) | 31.7871 | − | 0.862757i | 1.12035 | − | 0.0304082i | ||||
\(806\) | 31.9978 | − | 10.4045i | 1.12707 | − | 0.366481i | ||||
\(807\) | −5.00796 | − | 5.00796i | −0.176289 | − | 0.176289i | ||||
\(808\) | 25.3648 | + | 22.6302i | 0.892329 | + | 0.796127i | ||||
\(809\) | −2.69230 | + | 1.55440i | −0.0946564 | + | 0.0546499i | −0.546581 | − | 0.837406i | \(-0.684071\pi\) |
0.451925 | + | 0.892056i | \(0.350738\pi\) | |||||||
\(810\) | 20.2006 | − | 49.1117i | 0.709775 | − | 1.72561i | ||||
\(811\) | 26.0878i | 0.916066i | 0.888935 | + | 0.458033i | \(0.151446\pi\) | ||||
−0.888935 | + | 0.458033i | \(0.848554\pi\) | |||||||
\(812\) | 11.7070 | + | 22.8049i | 0.410836 | + | 0.800294i | ||||
\(813\) | 24.1933 | − | 6.48258i | 0.848496 | − | 0.227354i | ||||
\(814\) | −0.548163 | − | 0.442517i | −0.0192131 | − | 0.0155102i | ||||
\(815\) | 4.44797 | + | 14.9636i | 0.155806 | + | 0.524152i | ||||
\(816\) | 34.4405 | − | 48.0138i | 1.20566 | − | 1.68082i | ||||
\(817\) | −10.5612 | − | 2.82987i | −0.369490 | − | 0.0990046i | ||||
\(818\) | 1.96818 | + | 18.4564i | 0.0688157 | + | 0.645311i | ||||
\(819\) | −47.3879 | − | 30.8617i | −1.65587 | − | 1.07839i | ||||
\(820\) | 26.5870 | − | 6.49533i | 0.928458 | − | 0.226827i | ||||
\(821\) | 6.82823 | + | 11.8268i | 0.238307 | + | 0.412760i | 0.960229 | − | 0.279215i | \(-0.0900743\pi\) |
−0.721922 | + | 0.691975i | \(0.756741\pi\) | |||||||
\(822\) | −30.7685 | + | 22.4261i | −1.07317 | + | 0.782199i | ||||
\(823\) | −6.71171 | − | 25.0485i | −0.233956 | − | 0.873134i | −0.978617 | − | 0.205692i | \(-0.934056\pi\) |
0.744661 | − | 0.667443i | \(-0.232611\pi\) | |||||||
\(824\) | −5.60487 | + | 11.1252i | −0.195255 | + | 0.387563i | ||||
\(825\) | 1.82329 | − | 0.596276i | 0.0634789 | − | 0.0207597i | ||||
\(826\) | 22.4923 | − | 8.67321i | 0.782609 | − | 0.301780i | ||||
\(827\) | 26.1891 | + | 26.1891i | 0.910684 | + | 0.910684i | 0.996326 | − | 0.0856419i | \(-0.0272941\pi\) |
−0.0856419 | + | 0.996326i | \(0.527294\pi\) | |||||||
\(828\) | −74.4975 | + | 38.2437i | −2.58897 | + | 1.32906i | ||||
\(829\) | 2.56543 | − | 1.48115i | 0.0891012 | − | 0.0514426i | −0.454787 | − | 0.890600i | \(-0.650285\pi\) |
0.543889 | + | 0.839157i | \(0.316951\pi\) | |||||||
\(830\) | 24.7832 | + | 3.20042i | 0.860236 | + | 0.111088i | ||||
\(831\) | − | 9.15915i | − | 0.317727i | ||||||
\(832\) | −27.3622 | + | 9.12740i | −0.948614 | + | 0.316436i | ||||
\(833\) | 5.58316 | + | 5.58316i | 0.193445 | + | 0.193445i | ||||
\(834\) | 57.6978 | + | 9.04866i | 1.99791 | + | 0.313330i | ||||
\(835\) | −0.433744 | + | 1.81431i | −0.0150103 | + | 0.0627866i | ||||
\(836\) | −0.258442 | − | 0.0831062i | −0.00893841 | − | 0.00287429i | ||||
\(837\) | −55.4285 | + | 55.4285i | −1.91589 | + | 1.91589i | ||||
\(838\) | 19.2201 | − | 43.3461i | 0.663949 | − | 1.49737i | ||||
\(839\) | −6.00247 | + | 10.3966i | −0.207228 | + | 0.358930i | −0.950840 | − | 0.309681i | \(-0.899778\pi\) |
0.743612 | + | 0.668611i | \(0.233111\pi\) | |||||||
\(840\) | −42.9816 | + | 15.4876i | −1.48301 | + | 0.534374i | ||||
\(841\) | 0.919149 | − | 1.59201i | 0.0316948 | − | 0.0548970i | ||||
\(842\) | −8.57995 | − | 11.7717i | −0.295685 | − | 0.405678i | ||||
\(843\) | 60.5497 | + | 16.2242i | 2.08544 | + | 0.558793i | ||||
\(844\) | −5.74764 | − | 26.6425i | −0.197842 | − | 0.917071i | ||||
\(845\) | 23.9293 | + | 16.5042i | 0.823194 | + | 0.567760i | ||||
\(846\) | 29.1831 | − | 36.1502i | 1.00334 | − | 1.24287i | ||||
\(847\) | −6.56208 | + | 24.4900i | −0.225476 | + | 0.841487i | ||||
\(848\) | −4.30497 | − | 26.1516i | −0.147833 | − | 0.898049i | ||||
\(849\) | 42.5499 | + | 24.5662i | 1.46031 | + | 0.843109i | ||||
\(850\) | −19.5244 | + | 27.0676i | −0.669680 | + | 0.928412i | ||||
\(851\) | −21.6837 | − | 12.5191i | −0.743308 | − | 0.429149i | ||||
\(852\) | 37.0638 | − | 19.0269i | 1.26979 | − | 0.651852i | ||||
\(853\) | −31.2388 | − | 31.2388i | −1.06960 | − | 1.06960i | −0.997390 | − | 0.0722064i | \(-0.976996\pi\) |
−0.0722064 | − | 0.997390i | \(-0.523004\pi\) | |||||||
\(854\) | −9.96279 | + | 3.84172i | −0.340920 | + | 0.131461i | ||||
\(855\) | 14.3379 | − | 8.80514i | 0.490347 | − | 0.301130i | ||||
\(856\) | −1.02271 | − | 17.9497i | −0.0349554 | − | 0.613507i | ||||
\(857\) | 13.8404 | − | 13.8404i | 0.472778 | − | 0.472778i | −0.430034 | − | 0.902813i | \(-0.641499\pi\) |
0.902813 | + | 0.430034i | \(0.141499\pi\) | |||||||
\(858\) | 1.06584 | + | 1.64046i | 0.0363872 | + | 0.0560045i | ||||
\(859\) | 25.0359 | 0.854215 | 0.427108 | − | 0.904201i | \(-0.359533\pi\) | ||||
0.427108 | + | 0.904201i | \(0.359533\pi\) | |||||||
\(860\) | 44.1482 | + | 0.979730i | 1.50544 | + | 0.0334085i | ||||
\(861\) | 22.1041 | + | 38.2855i | 0.753306 | + | 1.30477i | ||||
\(862\) | −20.4678 | − | 9.07563i | −0.697135 | − | 0.309117i | ||||
\(863\) | 3.73362 | − | 3.73362i | 0.127094 | − | 0.127094i | −0.640699 | − | 0.767793i | \(-0.721355\pi\) |
0.767793 | + | 0.640699i | \(0.221355\pi\) | |||||||
\(864\) | 47.1550 | − | 47.8765i | 1.60425 | − | 1.62879i | ||||
\(865\) | −28.5821 | + | 8.49612i | −0.971822 | + | 0.288877i | ||||
\(866\) | 16.3880 | + | 13.2296i | 0.556888 | + | 0.449561i | ||||
\(867\) | 15.9536 | − | 4.27474i | 0.541811 | − | 0.145178i | ||||
\(868\) | 30.4232 | + | 1.50179i | 1.03263 | + | 0.0509741i | ||||
\(869\) | −0.839693 | + | 0.484797i | −0.0284846 | + | 0.0164456i | ||||
\(870\) | 43.6866 | + | 33.3506i | 1.48112 | + | 1.13069i | ||||
\(871\) | −2.10170 | + | 3.22715i | −0.0712134 | + | 0.109348i | ||||
\(872\) | −3.93635 | − | 11.9297i | −0.133302 | − | 0.403990i | ||||
\(873\) | −3.51669 | + | 13.1245i | −0.119022 | + | 0.444196i | ||||
\(874\) | −9.53200 | − | 1.49489i | −0.322425 | − | 0.0505654i | ||||
\(875\) | 24.2999 | − | 8.68350i | 0.821488 | − | 0.293556i | ||||
\(876\) | 0.499706 | − | 0.107803i | 0.0168835 | − | 0.00364232i | ||||
\(877\) | 10.9344 | + | 40.8077i | 0.369228 | + | 1.37798i | 0.861598 | + | 0.507592i | \(0.169464\pi\) |
−0.492370 | + | 0.870386i | \(0.663869\pi\) | |||||||
\(878\) | −5.18428 | + | 11.6918i | −0.174961 | + | 0.394580i | ||||
\(879\) | −33.4980 | −1.12986 | ||||||||
\(880\) | 1.09363 | + | 0.0783405i | 0.0368662 | + | 0.00264086i | ||||
\(881\) | −17.6810 | − | 30.6243i | −0.595687 | − | 1.03176i | −0.993450 | − | 0.114271i | \(-0.963547\pi\) |
0.397763 | − | 0.917488i | \(-0.369787\pi\) | |||||||
\(882\) | 9.46957 | + | 12.9922i | 0.318857 | + | 0.437471i | ||||
\(883\) | −36.9363 | + | 36.9363i | −1.24301 | + | 1.24301i | −0.284257 | + | 0.958748i | \(0.591747\pi\) |
−0.958748 | + | 0.284257i | \(0.908253\pi\) | |||||||
\(884\) | −31.7960 | − | 12.1420i | −1.06941 | − | 0.408380i | ||||
\(885\) | 35.5427 | − | 37.5259i | 1.19475 | − | 1.26142i | ||||
\(886\) | 19.9499 | + | 3.12871i | 0.670229 | + | 0.105111i | ||||
\(887\) | −3.68830 | + | 13.7649i | −0.123841 | + | 0.462181i | −0.999796 | − | 0.0202126i | \(-0.993566\pi\) |
0.875955 | + | 0.482393i | \(0.160232\pi\) | |||||||
\(888\) | 35.2211 | + | 7.31896i | 1.18194 | + | 0.245608i | ||||
\(889\) | 39.2987i | 1.31804i | ||||||||
\(890\) | −45.2621 | − | 18.6172i | −1.51719 | − | 0.624049i | ||||
\(891\) | −1.78276 | − | 1.02928i | −0.0597246 | − | 0.0344820i | ||||
\(892\) | 4.04463 | − | 6.26979i | 0.135424 | − | 0.209928i | ||||
\(893\) | 5.17064 | − | 1.38547i | 0.173029 | − | 0.0463629i | ||||
\(894\) | 2.23347 | − | 14.2415i | 0.0746983 | − | 0.476306i | ||||
\(895\) | 5.32109 | + | 8.66465i | 0.177865 | + | 0.289627i | ||||
\(896\) | −26.0899 | − | 1.08941i | −0.871603 | − | 0.0363947i | ||||
\(897\) | 46.4568 | + | 51.7306i | 1.55115 | + | 1.72723i | ||||
\(898\) | 0.0286331 | + | 0.268504i | 0.000955499 | + | 0.00896008i | ||||
\(899\) | −18.3220 | − | 31.7347i | −0.611073 | − | 1.05841i | ||||
\(900\) | −47.8135 | + | 48.2890i | −1.59378 | + | 1.60963i | ||||
\(901\) | 15.6367 | − | 27.0835i | 0.520933 | − | 0.902282i | ||||
\(902\) | −0.112501 | − | 1.05496i | −0.00374587 | − | 0.0351265i | ||||
\(903\) | 18.4613 | + | 68.8984i | 0.614353 | + | 2.29280i | ||||
\(904\) | −28.1564 | + | 18.4679i | −0.936468 | + | 0.614232i | ||||
\(905\) | −40.2621 | + | 1.09278i | −1.33836 | + | 0.0363254i | ||||
\(906\) | 78.5898 | − | 30.3048i | 2.61097 | − | 1.00681i | ||||
\(907\) | −8.69982 | + | 32.4682i | −0.288873 | + | 1.07809i | 0.657090 | + | 0.753812i | \(0.271787\pi\) |
−0.945963 | + | 0.324276i | \(0.894879\pi\) | |||||||
\(908\) | −0.953391 | + | 19.3138i | −0.0316394 | + | 0.640950i | ||||
\(909\) | 81.6703i | 2.70883i | ||||||||
\(910\) | 14.9309 | + | 21.6701i | 0.494955 | + | 0.718356i | ||||
\(911\) | 60.0051i | 1.98806i | 0.109112 | + | 0.994030i | \(0.465199\pi\) | ||||
−0.109112 | + | 0.994030i | \(0.534801\pi\) | |||||||
\(912\) | 13.6783 | − | 2.25168i | 0.452935 | − | 0.0745604i | ||||
\(913\) | 0.250715 | − | 0.935680i | 0.00829745 | − | 0.0309665i | ||||
\(914\) | 13.5769 | + | 35.2093i | 0.449085 | + | 1.16462i | ||||
\(915\) | −15.7433 | + | 16.6218i | −0.520458 | + | 0.549498i | ||||
\(916\) | −54.0574 | − | 17.3830i | −1.78611 | − | 0.574350i | ||||
\(917\) | 1.09206 | + | 4.07561i | 0.0360629 | + | 0.134589i | ||||
\(918\) | 78.8459 | − | 8.40810i | 2.60230 | − | 0.277508i | ||||
\(919\) | 19.5636 | − | 33.8852i | 0.645345 | − | 1.11777i | −0.338877 | − | 0.940831i | \(-0.610047\pi\) |
0.984222 | − | 0.176940i | \(-0.0566197\pi\) | |||||||
\(920\) | 38.8306 | − | 3.27141i | 1.28021 | − | 0.107855i | ||||
\(921\) | 0.915524 | + | 1.58573i | 0.0301675 | + | 0.0522517i | ||||
\(922\) | −51.9426 | + | 5.53914i | −1.71064 | + | 0.182422i | ||||
\(923\) | −16.0345 | − | 17.8547i | −0.527780 | − | 0.587694i | ||||
\(924\) | 0.373477 | + | 1.73120i | 0.0122865 | + | 0.0569524i | ||||
\(925\) | −19.8826 | − | 4.18650i | −0.653736 | − | 0.137651i | ||||
\(926\) | −0.287655 | − | 0.0451125i | −0.00945293 | − | 0.00148249i | ||||
\(927\) | −28.9099 | + | 7.74639i | −0.949526 | + | 0.254425i | ||||
\(928\) | 15.9130 | + | 27.0851i | 0.522369 | + | 0.889112i | ||||
\(929\) | −13.1220 | − | 7.57599i | −0.430519 | − | 0.248560i | 0.269049 | − | 0.963127i | \(-0.413291\pi\) |
−0.699568 | + | 0.714566i | \(0.746624\pi\) | |||||||
\(930\) | 60.2756 | − | 25.1418i | 1.97651 | − | 0.824432i | ||||
\(931\) | 1.85238i | 0.0607094i | ||||||||
\(932\) | −35.3031 | + | 18.1231i | −1.15639 | + | 0.593641i | ||||
\(933\) | −21.0099 | + | 78.4100i | −0.687834 | + | 2.56703i | ||||
\(934\) | 6.79543 | − | 43.3303i | 0.222353 | − | 1.41781i | ||||
\(935\) | 0.939303 | + | 0.889662i | 0.0307185 | + | 0.0290951i | ||||
\(936\) | −60.1292 | − | 34.4551i | −1.96538 | − | 1.12620i | ||||
\(937\) | 15.0306 | − | 15.0306i | 0.491028 | − | 0.491028i | −0.417602 | − | 0.908630i | \(-0.637129\pi\) |
0.908630 | + | 0.417602i | \(0.137129\pi\) | |||||||
\(938\) | −2.81748 | + | 2.05357i | −0.0919941 | + | 0.0670513i | ||||
\(939\) | 7.37705 | + | 12.7774i | 0.240741 | + | 0.416975i | ||||
\(940\) | −18.9584 | + | 10.3918i | −0.618356 | + | 0.338943i | ||||
\(941\) | 24.5560 | 0.800502 | 0.400251 | − | 0.916405i | \(-0.368923\pi\) | ||||
0.400251 | + | 0.916405i | \(0.368923\pi\) | |||||||
\(942\) | 2.31808 | + | 1.02786i | 0.0755272 | + | 0.0334896i | ||||
\(943\) | −9.75930 | − | 36.4222i | −0.317807 | − | 1.18607i | ||||
\(944\) | 26.9142 | − | 12.1794i | 0.875983 | − | 0.396405i | ||||
\(945\) | −53.9069 | − | 29.2024i | −1.75359 | − | 0.949955i | ||||
\(946\) | 0.265219 | − | 1.69114i | 0.00862300 | − | 0.0549837i | ||||
\(947\) | −1.86852 | + | 6.97343i | −0.0607189 | + | 0.226606i | −0.989617 | − | 0.143729i | \(-0.954091\pi\) |
0.928898 | + | 0.370335i | \(0.120757\pi\) | |||||||
\(948\) | 26.8392 | − | 41.6048i | 0.871698 | − | 1.35126i | ||||
\(949\) | −0.133339 | − | 0.262535i | −0.00432837 | − | 0.00852226i | ||||
\(950\) | −7.72915 | + | 1.25136i | −0.250767 | + | 0.0405994i | ||||
\(951\) | −39.7931 | + | 22.9746i | −1.29038 | + | 0.745001i | ||||
\(952\) | −22.9915 | − | 20.5128i | −0.745159 | − | 0.664823i | ||||
\(953\) | −46.1424 | + | 12.3638i | −1.49470 | + | 0.400504i | −0.911321 | − | 0.411697i | \(-0.864936\pi\) |
−0.583379 | + | 0.812200i | \(0.698270\pi\) | |||||||
\(954\) | 39.9982 | − | 49.5473i | 1.29499 | − | 1.60415i | ||||
\(955\) | −0.416270 | − | 0.225502i | −0.0134702 | − | 0.00729706i | ||||
\(956\) | 14.8096 | − | 46.0545i | 0.478975 | − | 1.48951i | ||||
\(957\) | 1.50654 | − | 1.50654i | 0.0486995 | − | 0.0486995i | ||||
\(958\) | 0.292837 | − | 0.660420i | 0.00946115 | − | 0.0213372i | ||||
\(959\) | 9.92693 | + | 17.1939i | 0.320557 | + | 0.555222i | ||||
\(960\) | −51.5073 | + | 21.9449i | −1.66239 | + | 0.708270i | ||||
\(961\) | −12.5428 | −0.404605 | ||||||||
\(962\) | −1.08898 | − | 20.6923i | −0.0351101 | − | 0.667147i | ||||
\(963\) | 30.5440 | − | 30.5440i | 0.984266 | − | 0.984266i | ||||
\(964\) | 1.76272 | + | 1.94578i | 0.0567734 | + | 0.0626695i | ||||
\(965\) | −5.16412 | + | 21.6010i | −0.166239 | + | 0.695359i | ||||
\(966\) | 22.6464 | + | 58.7292i | 0.728635 | + | 1.88958i | ||||
\(967\) | −3.10967 | − | 3.10967i | −0.100000 | − | 0.100000i | 0.655337 | − | 0.755337i | \(-0.272527\pi\) |
−0.755337 | + | 0.655337i | \(0.772527\pi\) | |||||||
\(968\) | −6.32136 | + | 30.4203i | −0.203176 | + | 0.977747i | ||||
\(969\) | 14.1658 | + | 8.17861i | 0.455070 | + | 0.262735i | ||||
\(970\) | 3.83669 | − | 5.02576i | 0.123189 | − | 0.161368i | ||||
\(971\) | 38.4591 | + | 22.2044i | 1.23421 | + | 0.712573i | 0.967905 | − | 0.251316i | \(-0.0808632\pi\) |
0.266307 | + | 0.963888i | \(0.414197\pi\) | |||||||
\(972\) | 33.7996 | + | 1.66846i | 1.08412 | + | 0.0535159i | ||||
\(973\) | 7.88222 | − | 29.4168i | 0.252692 | − | 0.943061i | ||||
\(974\) | −16.3524 | − | 13.2009i | −0.523965 | − | 0.422983i | ||||
\(975\) | 48.8810 | + | 28.1817i | 1.56544 | + | 0.902535i | ||||
\(976\) | −11.9214 | + | 5.39475i | −0.381595 | + | 0.172682i | ||||
\(977\) | −53.0077 | − | 14.2034i | −1.69587 | − | 0.454406i | −0.723974 | − | 0.689827i | \(-0.757687\pi\) |
−0.971894 | + | 0.235420i | \(0.924353\pi\) | |||||||
\(978\) | −24.9715 | + | 18.2009i | −0.798501 | + | 0.581999i | ||||
\(979\) | −0.948597 | + | 1.64302i | −0.0303173 | + | 0.0525111i | ||||
\(980\) | −1.77551 | − | 7.26762i | −0.0567167 | − | 0.232155i | ||||
\(981\) | 15.0911 | − | 26.1385i | 0.481821 | − | 0.834538i | ||||
\(982\) | 15.1112 | + | 6.70046i | 0.482217 | + | 0.213820i | ||||
\(983\) | 6.17939 | − | 6.17939i | 0.197092 | − | 0.197092i | −0.601660 | − | 0.798752i | \(-0.705494\pi\) |
0.798752 | + | 0.601660i | \(0.205494\pi\) | |||||||
\(984\) | 29.7127 | + | 45.3004i | 0.947206 | + | 1.44413i | ||||
\(985\) | 34.7254 | + | 8.30175i | 1.10644 | + | 0.264516i | ||||
\(986\) | −5.74300 | + | 36.6196i | −0.182894 | + | 1.16621i | ||||
\(987\) | −24.6934 | − | 24.6934i | −0.785999 | − | 0.785999i | ||||
\(988\) | −3.26040 | − | 7.28887i | −0.103727 | − | 0.231890i | ||||
\(989\) | − | 60.8394i | − | 1.93458i | ||||||
\(990\) | 1.60881 | + | 2.08594i | 0.0511313 | + | 0.0662954i | ||||
\(991\) | 16.1873 | − | 9.34574i | 0.514206 | − | 0.296877i | −0.220355 | − | 0.975420i | \(-0.570721\pi\) |
0.734561 | + | 0.678543i | \(0.237388\pi\) | |||||||
\(992\) | 37.3268 | − | 0.283372i | 1.18513 | − | 0.00899708i | ||||
\(993\) | 0.851420 | + | 0.851420i | 0.0270190 | + | 0.0270190i | ||||
\(994\) | −7.81634 | − | 20.2702i | −0.247919 | − | 0.642932i | ||||
\(995\) | −22.2110 | + | 41.0010i | −0.704137 | + | 1.29982i | ||||
\(996\) | 10.4311 | + | 48.3520i | 0.330522 | + | 1.53209i | ||||
\(997\) | −11.5514 | − | 43.1104i | −0.365836 | − | 1.36532i | −0.866284 | − | 0.499553i | \(-0.833498\pi\) |
0.500447 | − | 0.865767i | \(-0.333169\pi\) | |||||||
\(998\) | −27.0966 | − | 37.1764i | −0.857726 | − | 1.17680i | ||||
\(999\) | 24.1370 | + | 41.8065i | 0.763661 | + | 1.32270i |
(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 | 260.2.bj.c.3.13 | yes | 144 | |
4.3 | odd | 2 | inner | 260.2.bj.c.3.6 | ✓ | 144 | |
5.2 | odd | 4 | inner | 260.2.bj.c.107.29 | yes | 144 | |
13.9 | even | 3 | inner | 260.2.bj.c.243.14 | yes | 144 | |
20.7 | even | 4 | inner | 260.2.bj.c.107.14 | yes | 144 | |
52.35 | odd | 6 | inner | 260.2.bj.c.243.29 | yes | 144 | |
65.22 | odd | 12 | inner | 260.2.bj.c.87.6 | yes | 144 | |
260.87 | even | 12 | inner | 260.2.bj.c.87.13 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.bj.c.3.6 | ✓ | 144 | 4.3 | odd | 2 | inner | |
260.2.bj.c.3.13 | yes | 144 | 1.1 | even | 1 | trivial | |
260.2.bj.c.87.6 | yes | 144 | 65.22 | odd | 12 | inner | |
260.2.bj.c.87.13 | yes | 144 | 260.87 | even | 12 | inner | |
260.2.bj.c.107.14 | yes | 144 | 20.7 | even | 4 | inner | |
260.2.bj.c.107.29 | yes | 144 | 5.2 | odd | 4 | inner | |
260.2.bj.c.243.14 | yes | 144 | 13.9 | even | 3 | inner | |
260.2.bj.c.243.29 | yes | 144 | 52.35 | odd | 6 | inner |