Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 469.46 | ||
Character | \(\chi\) | \(=\) | 552.469 |
Dual form | 552.2.bb.a.133.46 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{5}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40720 | + | 0.140672i | 0.995041 | + | 0.0994702i | ||||
\(3\) | 0.755750 | − | 0.654861i | 0.436332 | − | 0.378084i | ||||
\(4\) | 1.96042 | + | 0.395908i | 0.980211 | + | 0.197954i | ||||
\(5\) | −3.07552 | + | 0.442193i | −1.37542 | + | 0.197755i | −0.790064 | − | 0.613025i | \(-0.789953\pi\) |
−0.585352 | + | 0.810780i | \(0.699044\pi\) | |||||||
\(6\) | 1.15561 | − | 0.815207i | 0.471776 | − | 0.332807i | ||||
\(7\) | 1.27307 | − | 2.78762i | 0.481174 | − | 1.05362i | −0.500966 | − | 0.865467i | \(-0.667022\pi\) |
0.982139 | − | 0.188156i | \(-0.0602510\pi\) | |||||||
\(8\) | 2.70301 | + | 0.832898i | 0.955660 | + | 0.294474i | ||||
\(9\) | 0.142315 | − | 0.989821i | 0.0474383 | − | 0.329940i | ||||
\(10\) | −4.39008 | + | 0.189614i | −1.38826 | + | 0.0599613i | ||||
\(11\) | 0.100084 | − | 0.340854i | 0.0301764 | − | 0.102771i | −0.943028 | − | 0.332714i | \(-0.892036\pi\) |
0.973204 | + | 0.229942i | \(0.0738538\pi\) | |||||||
\(12\) | 1.74085 | − | 0.984597i | 0.502541 | − | 0.284229i | ||||
\(13\) | 5.09316 | − | 2.32597i | 1.41259 | − | 0.645107i | 0.444514 | − | 0.895772i | \(-0.353377\pi\) |
0.968074 | + | 0.250665i | \(0.0806493\pi\) | |||||||
\(14\) | 2.18360 | − | 3.74366i | 0.583591 | − | 1.00054i | ||||
\(15\) | −2.03475 | + | 2.34823i | −0.525370 | + | 0.606309i | ||||
\(16\) | 3.68651 | + | 1.55229i | 0.921629 | + | 0.388073i | ||||
\(17\) | 4.48672 | + | 2.88344i | 1.08819 | + | 0.699337i | 0.956435 | − | 0.291945i | \(-0.0943025\pi\) |
0.131755 | + | 0.991282i | \(0.457939\pi\) | |||||||
\(18\) | 0.339506 | − | 1.37286i | 0.0800223 | − | 0.323585i | ||||
\(19\) | −0.803720 | − | 1.25061i | −0.184386 | − | 0.286910i | 0.736739 | − | 0.676177i | \(-0.236365\pi\) |
−0.921125 | + | 0.389267i | \(0.872728\pi\) | |||||||
\(20\) | −6.20439 | − | 0.350737i | −1.38734 | − | 0.0784271i | ||||
\(21\) | −0.863387 | − | 2.94043i | −0.188407 | − | 0.641654i | ||||
\(22\) | 0.188787 | − | 0.465571i | 0.0402495 | − | 0.0992601i | ||||
\(23\) | −3.41356 | − | 3.36862i | −0.711776 | − | 0.702407i | ||||
\(24\) | 2.58823 | − | 1.14064i | 0.528321 | − | 0.232831i | ||||
\(25\) | 4.46584 | − | 1.31129i | 0.893167 | − | 0.262258i | ||||
\(26\) | 7.49429 | − | 2.55663i | 1.46975 | − | 0.501397i | ||||
\(27\) | −0.540641 | − | 0.841254i | −0.104046 | − | 0.161899i | ||||
\(28\) | 3.59939 | − | 4.96091i | 0.680220 | − | 0.937523i | ||||
\(29\) | −3.99184 | + | 6.21143i | −0.741266 | + | 1.15343i | 0.241826 | + | 0.970320i | \(0.422254\pi\) |
−0.983092 | + | 0.183113i | \(0.941383\pi\) | |||||||
\(30\) | −3.19363 | + | 3.01819i | −0.583074 | + | 0.551044i | ||||
\(31\) | −1.04581 | + | 1.20693i | −0.187833 | + | 0.216771i | −0.841854 | − | 0.539706i | \(-0.818535\pi\) |
0.654021 | + | 0.756477i | \(0.273081\pi\) | |||||||
\(32\) | 4.96930 | + | 2.70298i | 0.878456 | + | 0.477823i | ||||
\(33\) | −0.147574 | − | 0.323142i | −0.0256893 | − | 0.0562517i | ||||
\(34\) | 5.90809 | + | 4.68873i | 1.01323 | + | 0.804111i | ||||
\(35\) | −2.68267 | + | 9.13634i | −0.453454 | + | 1.54432i | ||||
\(36\) | 0.670875 | − | 1.88412i | 0.111813 | − | 0.314021i | ||||
\(37\) | −5.87018 | − | 0.844004i | −0.965051 | − | 0.138753i | −0.358266 | − | 0.933619i | \(-0.616632\pi\) |
−0.606785 | + | 0.794866i | \(0.707541\pi\) | |||||||
\(38\) | −0.955068 | − | 1.87292i | −0.154933 | − | 0.303828i | ||||
\(39\) | 2.32597 | − | 5.09316i | 0.372453 | − | 0.815558i | ||||
\(40\) | −8.68148 | − | 1.36634i | −1.37266 | − | 0.216038i | ||||
\(41\) | 1.40087 | + | 9.74326i | 0.218779 | + | 1.52164i | 0.742555 | + | 0.669785i | \(0.233614\pi\) |
−0.523776 | + | 0.851856i | \(0.675477\pi\) | |||||||
\(42\) | −0.801322 | − | 4.25922i | −0.123647 | − | 0.657212i | ||||
\(43\) | −5.06294 | + | 4.38706i | −0.772091 | + | 0.669021i | −0.949025 | − | 0.315202i | \(-0.897928\pi\) |
0.176933 | + | 0.984223i | \(0.443382\pi\) | |||||||
\(44\) | 0.331154 | − | 0.628595i | 0.0499233 | − | 0.0947642i | ||||
\(45\) | 3.10715i | 0.463186i | ||||||||
\(46\) | −4.32968 | − | 5.22052i | −0.638377 | − | 0.769724i | ||||
\(47\) | −10.7149 | −1.56293 | −0.781465 | − | 0.623949i | \(-0.785527\pi\) | ||||
−0.781465 | + | 0.623949i | \(0.785527\pi\) | |||||||
\(48\) | 3.80262 | − | 1.24101i | 0.548860 | − | 0.179124i | ||||
\(49\) | −1.56613 | − | 1.80741i | −0.223733 | − | 0.258202i | ||||
\(50\) | 6.46879 | − | 1.21703i | 0.914824 | − | 0.172113i | ||||
\(51\) | 5.27909 | − | 0.759018i | 0.739220 | − | 0.106284i | ||||
\(52\) | 10.9056 | − | 2.54346i | 1.51234 | − | 0.352714i | ||||
\(53\) | −6.17903 | − | 2.82187i | −0.848755 | − | 0.387614i | −0.0569426 | − | 0.998377i | \(-0.518135\pi\) |
−0.791813 | + | 0.610764i | \(0.790862\pi\) | |||||||
\(54\) | −0.642449 | − | 1.25986i | −0.0874262 | − | 0.171446i | ||||
\(55\) | −0.157087 | + | 1.09256i | −0.0211816 | + | 0.147321i | ||||
\(56\) | 5.76292 | − | 6.47465i | 0.770103 | − | 0.865212i | ||||
\(57\) | −1.42639 | − | 0.418825i | −0.188930 | − | 0.0554748i | ||||
\(58\) | −6.49109 | + | 8.17918i | −0.852322 | + | 1.07398i | ||||
\(59\) | 12.5593 | − | 5.73563i | 1.63508 | − | 0.746716i | 0.635404 | − | 0.772180i | \(-0.280834\pi\) |
0.999676 | + | 0.0254642i | \(0.00810638\pi\) | |||||||
\(60\) | −4.91865 | + | 3.79794i | −0.634995 | + | 0.490312i | ||||
\(61\) | −5.74764 | − | 4.98036i | −0.735910 | − | 0.637670i | 0.204047 | − | 0.978961i | \(-0.434590\pi\) |
−0.939958 | + | 0.341291i | \(0.889136\pi\) | |||||||
\(62\) | −1.64145 | + | 1.55127i | −0.208464 | + | 0.197012i | ||||
\(63\) | −2.57807 | − | 1.65683i | −0.324807 | − | 0.208741i | ||||
\(64\) | 6.61256 | + | 4.50267i | 0.826570 | + | 0.562834i | ||||
\(65\) | −14.6356 | + | 9.40572i | −1.81532 | + | 1.16664i | ||||
\(66\) | −0.162209 | − | 0.475484i | −0.0199665 | − | 0.0585281i | ||||
\(67\) | 0.617146 | + | 2.10180i | 0.0753963 | + | 0.256776i | 0.988563 | − | 0.150811i | \(-0.0481884\pi\) |
−0.913166 | + | 0.407587i | \(0.866370\pi\) | |||||||
\(68\) | 7.65429 | + | 7.42909i | 0.928219 | + | 0.900909i | ||||
\(69\) | −4.78577 | − | 0.310432i | −0.576139 | − | 0.0373717i | ||||
\(70\) | −5.06028 | + | 12.4793i | −0.604820 | + | 1.49156i | ||||
\(71\) | 8.31064 | − | 2.44022i | 0.986291 | − | 0.289601i | 0.251472 | − | 0.967865i | \(-0.419085\pi\) |
0.734819 | + | 0.678263i | \(0.237267\pi\) | |||||||
\(72\) | 1.20910 | − | 2.55697i | 0.142494 | − | 0.301341i | ||||
\(73\) | −6.36471 | + | 4.09035i | −0.744933 | + | 0.478739i | −0.857229 | − | 0.514936i | \(-0.827816\pi\) |
0.112296 | + | 0.993675i | \(0.464179\pi\) | |||||||
\(74\) | −8.14178 | − | 2.01345i | −0.946463 | − | 0.234059i | ||||
\(75\) | 2.51634 | − | 3.91551i | 0.290562 | − | 0.452124i | ||||
\(76\) | −1.08050 | − | 2.76993i | −0.123942 | − | 0.317733i | ||||
\(77\) | −0.822761 | − | 0.712926i | −0.0937623 | − | 0.0812455i | ||||
\(78\) | 3.98956 | − | 6.83989i | 0.451729 | − | 0.774465i | ||||
\(79\) | 5.12023 | + | 11.2117i | 0.576071 | + | 1.26142i | 0.943501 | + | 0.331369i | \(0.107510\pi\) |
−0.367430 | + | 0.930051i | \(0.619762\pi\) | |||||||
\(80\) | −12.0244 | − | 3.14396i | −1.34437 | − | 0.351505i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 0.600698 | + | 13.9078i | 0.0663360 | + | 1.53586i | ||||
\(83\) | 0.513390 | + | 0.0738143i | 0.0563518 | + | 0.00810217i | 0.170433 | − | 0.985369i | \(-0.445483\pi\) |
−0.114081 | + | 0.993471i | \(0.536392\pi\) | |||||||
\(84\) | −0.528467 | − | 6.10630i | −0.0576604 | − | 0.666252i | ||||
\(85\) | −15.0740 | − | 6.88409i | −1.63501 | − | 0.746684i | ||||
\(86\) | −7.74171 | + | 5.46126i | −0.834810 | + | 0.588903i | ||||
\(87\) | 1.05079 | + | 7.30838i | 0.112656 | + | 0.783541i | ||||
\(88\) | 0.554425 | − | 0.837974i | 0.0591019 | − | 0.0893284i | ||||
\(89\) | −5.20322 | − | 6.00484i | −0.551540 | − | 0.636512i | 0.409701 | − | 0.912220i | \(-0.365633\pi\) |
−0.961241 | + | 0.275708i | \(0.911088\pi\) | |||||||
\(90\) | −0.437089 | + | 4.37238i | −0.0460732 | + | 0.460889i | ||||
\(91\) | − | 17.1589i | − | 1.79874i | ||||||
\(92\) | −5.35835 | − | 7.95538i | −0.558647 | − | 0.829406i | ||||
\(93\) | 1.59700i | 0.165601i | ||||||||
\(94\) | −15.0780 | − | 1.50729i | −1.55518 | − | 0.155465i | ||||
\(95\) | 3.02487 | + | 3.49089i | 0.310345 | + | 0.358158i | ||||
\(96\) | 5.52562 | − | 1.21143i | 0.563956 | − | 0.123641i | ||||
\(97\) | 0.491261 | + | 3.41679i | 0.0498800 | + | 0.346923i | 0.999444 | + | 0.0333489i | \(0.0106173\pi\) |
−0.949564 | + | 0.313574i | \(0.898474\pi\) | |||||||
\(98\) | −1.94961 | − | 2.76370i | −0.196940 | − | 0.279176i | ||||
\(99\) | −0.323142 | − | 0.147574i | −0.0324770 | − | 0.0148317i | ||||
\(100\) | 9.27408 | − | 0.802620i | 0.927408 | − | 0.0802620i | ||||
\(101\) | 12.1340 | + | 1.74460i | 1.20737 | + | 0.173594i | 0.716469 | − | 0.697619i | \(-0.245757\pi\) |
0.490906 | + | 0.871213i | \(0.336666\pi\) | |||||||
\(102\) | 7.53551 | − | 0.325470i | 0.746126 | − | 0.0322263i | ||||
\(103\) | 16.6160 | + | 4.87888i | 1.63722 | + | 0.480731i | 0.965571 | − | 0.260140i | \(-0.0837688\pi\) |
0.671647 | + | 0.740871i | \(0.265587\pi\) | |||||||
\(104\) | 15.7042 | − | 2.04504i | 1.53992 | − | 0.200533i | ||||
\(105\) | 3.95560 | + | 8.66156i | 0.386027 | + | 0.845282i | ||||
\(106\) | −8.29818 | − | 4.84015i | −0.805990 | − | 0.470117i | ||||
\(107\) | −0.646527 | − | 0.560219i | −0.0625022 | − | 0.0541584i | 0.623050 | − | 0.782182i | \(-0.285893\pi\) |
−0.685552 | + | 0.728024i | \(0.740439\pi\) | |||||||
\(108\) | −0.726826 | − | 1.86326i | −0.0699389 | − | 0.179292i | ||||
\(109\) | 3.93881 | − | 6.12890i | 0.377269 | − | 0.587042i | −0.599752 | − | 0.800186i | \(-0.704734\pi\) |
0.977021 | + | 0.213144i | \(0.0683703\pi\) | |||||||
\(110\) | −0.374745 | + | 1.51536i | −0.0357306 | + | 0.144483i | ||||
\(111\) | −4.98909 | + | 3.20629i | −0.473543 | + | 0.304328i | ||||
\(112\) | 9.02038 | − | 8.30045i | 0.852346 | − | 0.784319i | ||||
\(113\) | −3.37247 | + | 0.990248i | −0.317256 | + | 0.0931547i | −0.436484 | − | 0.899712i | \(-0.643776\pi\) |
0.119228 | + | 0.992867i | \(0.461958\pi\) | |||||||
\(114\) | −1.94830 | − | 0.790024i | −0.182475 | − | 0.0739925i | ||||
\(115\) | 11.9881 | + | 8.85083i | 1.11789 | + | 0.825344i | ||||
\(116\) | −10.2848 | + | 10.5966i | −0.954924 | + | 0.983871i | ||||
\(117\) | −1.57746 | − | 5.37233i | −0.145836 | − | 0.496673i | ||||
\(118\) | 18.4803 | − | 6.30444i | 1.70125 | − | 0.580371i | ||||
\(119\) | 13.7498 | − | 8.83649i | 1.26045 | − | 0.810039i | ||||
\(120\) | −7.45579 | + | 4.65255i | −0.680617 | + | 0.424718i | ||||
\(121\) | 9.14762 | + | 5.87882i | 0.831602 | + | 0.534438i | ||||
\(122\) | −7.38749 | − | 7.81690i | −0.668832 | − | 0.707709i | ||||
\(123\) | 7.43918 | + | 6.44609i | 0.670769 | + | 0.581224i | ||||
\(124\) | −2.52806 | + | 1.95205i | −0.227027 | + | 0.175299i | ||||
\(125\) | 0.976872 | − | 0.446122i | 0.0873741 | − | 0.0399024i | ||||
\(126\) | −3.39480 | − | 2.69415i | −0.302433 | − | 0.240014i | ||||
\(127\) | −13.5256 | − | 3.97148i | −1.20021 | − | 0.352412i | −0.380274 | − | 0.924874i | \(-0.624170\pi\) |
−0.819932 | + | 0.572462i | \(0.805989\pi\) | |||||||
\(128\) | 8.67180 | + | 7.26636i | 0.766486 | + | 0.642261i | ||||
\(129\) | −0.953400 | + | 6.63104i | −0.0839422 | + | 0.583831i | ||||
\(130\) | −21.9183 | + | 11.1769i | −1.92236 | + | 0.980280i | ||||
\(131\) | −1.06051 | − | 0.484319i | −0.0926573 | − | 0.0423152i | 0.368547 | − | 0.929609i | \(-0.379855\pi\) |
−0.461205 | + | 0.887294i | \(0.652583\pi\) | |||||||
\(132\) | −0.161373 | − | 0.691920i | −0.0140457 | − | 0.0602239i | ||||
\(133\) | −4.50943 | + | 0.648358i | −0.391017 | + | 0.0562198i | ||||
\(134\) | 0.572782 | + | 3.04447i | 0.0494808 | + | 0.263003i | ||||
\(135\) | 2.03475 | + | 2.34823i | 0.175123 | + | 0.202103i | ||||
\(136\) | 9.72605 | + | 11.5310i | 0.834002 | + | 0.988771i | ||||
\(137\) | −14.8502 | −1.26873 | −0.634367 | − | 0.773032i | \(-0.718739\pi\) | ||||
−0.634367 | + | 0.773032i | \(0.718739\pi\) | |||||||
\(138\) | −6.69087 | − | 1.11007i | −0.569565 | − | 0.0944950i | ||||
\(139\) | − | 2.80708i | − | 0.238093i | −0.992889 | − | 0.119047i | \(-0.962016\pi\) | ||
0.992889 | − | 0.119047i | \(-0.0379838\pi\) | |||||||
\(140\) | −8.87632 | + | 16.8490i | −0.750186 | + | 1.42400i | ||||
\(141\) | −8.09779 | + | 7.01677i | −0.681957 | + | 0.590919i | ||||
\(142\) | 12.0380 | − | 2.26481i | 1.01021 | − | 0.190058i | ||||
\(143\) | −0.283073 | − | 1.96882i | −0.0236718 | − | 0.164641i | ||||
\(144\) | 2.06114 | − | 3.42808i | 0.171761 | − | 0.285673i | ||||
\(145\) | 9.53034 | − | 20.8685i | 0.791452 | − | 1.73304i | ||||
\(146\) | −9.53181 | + | 4.86060i | −0.788859 | + | 0.402266i | ||||
\(147\) | −2.36721 | − | 0.340353i | −0.195244 | − | 0.0280718i | ||||
\(148\) | −11.1739 | − | 3.97865i | −0.918487 | − | 0.327043i | ||||
\(149\) | −6.07853 | + | 20.7016i | −0.497973 | + | 1.69594i | 0.199983 | + | 0.979799i | \(0.435911\pi\) |
−0.697956 | + | 0.716141i | \(0.745907\pi\) | |||||||
\(150\) | 4.09180 | − | 5.15592i | 0.334094 | − | 0.420979i | ||||
\(151\) | −4.52984 | − | 9.91897i | −0.368633 | − | 0.807194i | −0.999510 | − | 0.0313108i | \(-0.990032\pi\) |
0.630877 | − | 0.775883i | \(-0.282695\pi\) | |||||||
\(152\) | −1.13083 | − | 4.04984i | −0.0917227 | − | 0.328485i | ||||
\(153\) | 3.49262 | − | 4.03070i | 0.282361 | − | 0.325862i | ||||
\(154\) | −1.05750 | − | 1.11897i | −0.0852158 | − | 0.0901691i | ||||
\(155\) | 2.68272 | − | 4.17439i | 0.215481 | − | 0.335295i | ||||
\(156\) | 6.57630 | − | 9.06387i | 0.526525 | − | 0.725690i | ||||
\(157\) | 4.05379 | + | 6.30782i | 0.323528 | + | 0.503419i | 0.964478 | − | 0.264164i | \(-0.0850959\pi\) |
−0.640950 | + | 0.767582i | \(0.721459\pi\) | |||||||
\(158\) | 5.62801 | + | 16.4974i | 0.447740 | + | 1.31247i | ||||
\(159\) | −6.51773 | + | 1.91378i | −0.516890 | + | 0.151773i | ||||
\(160\) | −16.4784 | − | 6.11567i | −1.30273 | − | 0.483486i | ||||
\(161\) | −13.7361 | + | 5.22724i | −1.08256 | + | 0.411964i | ||||
\(162\) | −1.31057 | − | 0.531428i | −0.102968 | − | 0.0417529i | ||||
\(163\) | −3.01236 | − | 10.2591i | −0.235946 | − | 0.803558i | −0.989294 | − | 0.145936i | \(-0.953381\pi\) |
0.753348 | − | 0.657622i | \(-0.228438\pi\) | |||||||
\(164\) | −1.11113 | + | 19.6555i | −0.0867650 | + | 1.53484i | ||||
\(165\) | 0.596758 | + | 0.928573i | 0.0464575 | + | 0.0722893i | ||||
\(166\) | 0.712058 | + | 0.176091i | 0.0552664 | + | 0.0136673i | ||||
\(167\) | −1.41033 | − | 0.906366i | −0.109135 | − | 0.0701367i | 0.484935 | − | 0.874550i | \(-0.338843\pi\) |
−0.594070 | + | 0.804414i | \(0.702480\pi\) | |||||||
\(168\) | 0.115328 | − | 8.66713i | 0.00889776 | − | 0.668683i | ||||
\(169\) | 12.0169 | − | 13.8683i | 0.924379 | − | 1.06679i | ||||
\(170\) | −20.2438 | − | 11.8078i | −1.55263 | − | 0.905616i | ||||
\(171\) | −1.35226 | + | 0.617559i | −0.103410 | + | 0.0472259i | ||||
\(172\) | −11.6624 | + | 6.59604i | −0.889248 | + | 0.502943i | ||||
\(173\) | −1.83024 | + | 6.23321i | −0.139150 | + | 0.473902i | −0.999350 | − | 0.0360554i | \(-0.988521\pi\) |
0.860200 | + | 0.509958i | \(0.170339\pi\) | |||||||
\(174\) | 0.450581 | + | 10.4322i | 0.0341585 | + | 0.790861i | ||||
\(175\) | 2.02992 | − | 14.1184i | 0.153448 | − | 1.06725i | ||||
\(176\) | 0.898067 | − | 1.10121i | 0.0676943 | − | 0.0830065i | ||||
\(177\) | 5.73563 | − | 12.5593i | 0.431117 | − | 0.944014i | ||||
\(178\) | −6.47726 | − | 9.18196i | −0.485491 | − | 0.688217i | ||||
\(179\) | −2.98218 | + | 0.428773i | −0.222899 | + | 0.0320480i | −0.252859 | − | 0.967503i | \(-0.581371\pi\) |
0.0299605 | + | 0.999551i | \(0.490462\pi\) | |||||||
\(180\) | −1.23014 | + | 6.09132i | −0.0916895 | + | 0.454021i | ||||
\(181\) | 0.482033 | − | 0.417684i | 0.0358292 | − | 0.0310462i | −0.636762 | − | 0.771060i | \(-0.719727\pi\) |
0.672591 | + | 0.740014i | \(0.265181\pi\) | |||||||
\(182\) | 2.41378 | − | 24.1460i | 0.178921 | − | 1.78982i | ||||
\(183\) | −7.60522 | −0.562194 | ||||||||
\(184\) | −6.42117 | − | 11.9486i | −0.473375 | − | 0.880861i | ||||
\(185\) | 18.4271 | 1.35479 | ||||||||
\(186\) | −0.224653 | + | 2.24729i | −0.0164724 | + | 0.164780i | ||||
\(187\) | 1.43188 | − | 1.24073i | 0.104710 | − | 0.0907314i | ||||
\(188\) | −21.0057 | − | 4.24211i | −1.53200 | − | 0.309388i | ||||
\(189\) | −3.03337 | + | 0.436133i | −0.220645 | + | 0.0317240i | ||||
\(190\) | 3.76553 | + | 5.33789i | 0.273180 | + | 0.387251i | ||||
\(191\) | −7.48439 | + | 16.3885i | −0.541552 | + | 1.18583i | 0.419065 | + | 0.907956i | \(0.362358\pi\) |
−0.960617 | + | 0.277877i | \(0.910369\pi\) | |||||||
\(192\) | 7.94606 | − | 0.927418i | 0.573458 | − | 0.0669306i | ||||
\(193\) | −1.75678 | + | 12.2187i | −0.126456 | + | 0.879522i | 0.823540 | + | 0.567259i | \(0.191996\pi\) |
−0.949996 | + | 0.312263i | \(0.898913\pi\) | |||||||
\(194\) | 0.210654 | + | 4.87722i | 0.0151241 | + | 0.350164i | ||||
\(195\) | −4.90140 | + | 16.6926i | −0.350997 | + | 1.19538i | ||||
\(196\) | −2.35471 | − | 4.16333i | −0.168194 | − | 0.297381i | ||||
\(197\) | −12.6602 | + | 5.78172i | −0.902001 | + | 0.411930i | −0.811761 | − | 0.583990i | \(-0.801491\pi\) |
−0.0902404 | + | 0.995920i | \(0.528764\pi\) | |||||||
\(198\) | −0.433965 | − | 0.253123i | −0.0308406 | − | 0.0179887i | ||||
\(199\) | −3.22156 | + | 3.71787i | −0.228370 | + | 0.263553i | −0.858357 | − | 0.513052i | \(-0.828515\pi\) |
0.629987 | + | 0.776605i | \(0.283060\pi\) | |||||||
\(200\) | 13.1634 | + | 0.175157i | 0.930792 | + | 0.0123855i | ||||
\(201\) | 1.84280 | + | 1.18429i | 0.129981 | + | 0.0835336i | ||||
\(202\) | 16.8295 | + | 4.16191i | 1.18412 | + | 0.292831i | ||||
\(203\) | 12.2332 | + | 19.0353i | 0.858606 | + | 1.33602i | ||||
\(204\) | 10.6497 | + | 0.602034i | 0.745631 | + | 0.0421508i | ||||
\(205\) | −8.61681 | − | 29.3462i | −0.601824 | − | 2.04962i | ||||
\(206\) | 22.6956 | + | 9.20297i | 1.58128 | + | 0.641201i | ||||
\(207\) | −3.82014 | + | 2.89941i | −0.265518 | + | 0.201523i | ||||
\(208\) | 22.3866 | − | 0.668642i | 1.55223 | − | 0.0463620i | ||||
\(209\) | −0.506716 | + | 0.148785i | −0.0350503 | + | 0.0102917i | ||||
\(210\) | 4.34788 | + | 12.7450i | 0.300033 | + | 0.879488i | ||||
\(211\) | −8.61709 | − | 13.4085i | −0.593225 | − | 0.923076i | −0.999955 | − | 0.00952765i | \(-0.996967\pi\) |
0.406730 | − | 0.913549i | \(-0.366669\pi\) | |||||||
\(212\) | −10.9963 | − | 7.97838i | −0.755230 | − | 0.547958i | ||||
\(213\) | 4.68275 | − | 7.28651i | 0.320857 | − | 0.499263i | ||||
\(214\) | −0.830986 | − | 0.879289i | −0.0568050 | − | 0.0601069i | ||||
\(215\) | 13.6313 | − | 15.7313i | 0.929644 | − | 1.07287i | ||||
\(216\) | −0.760681 | − | 2.72422i | −0.0517578 | − | 0.185360i | ||||
\(217\) | 2.03308 | + | 4.45183i | 0.138015 | + | 0.302210i | ||||
\(218\) | 6.40485 | − | 8.07051i | 0.433791 | − | 0.546604i | ||||
\(219\) | −2.13152 | + | 7.25928i | −0.144035 | + | 0.490537i | ||||
\(220\) | −0.740510 | + | 2.07969i | −0.0499252 | + | 0.140213i | ||||
\(221\) | 29.5584 | + | 4.24985i | 1.98831 | + | 0.285876i | ||||
\(222\) | −7.47168 | + | 3.81007i | −0.501466 | + | 0.255715i | ||||
\(223\) | 10.3947 | − | 22.7612i | 0.696079 | − | 1.52420i | −0.148584 | − | 0.988900i | \(-0.547471\pi\) |
0.844662 | − | 0.535300i | \(-0.179801\pi\) | |||||||
\(224\) | 13.8611 | − | 10.4115i | 0.926135 | − | 0.695646i | ||||
\(225\) | −0.662386 | − | 4.60700i | −0.0441591 | − | 0.307133i | ||||
\(226\) | −4.88504 | + | 0.919063i | −0.324948 | + | 0.0611352i | ||||
\(227\) | 7.52156 | − | 6.51747i | 0.499223 | − | 0.432579i | −0.368499 | − | 0.929628i | \(-0.620128\pi\) |
0.867723 | + | 0.497049i | \(0.165583\pi\) | |||||||
\(228\) | −2.63051 | − | 1.38579i | −0.174210 | − | 0.0917764i | ||||
\(229\) | 6.09672i | 0.402883i | 0.979501 | + | 0.201441i | \(0.0645625\pi\) | ||||
−0.979501 | + | 0.201441i | \(0.935437\pi\) | |||||||
\(230\) | 15.6245 | + | 14.1413i | 1.03025 | + | 0.932448i | ||||
\(231\) | −1.08867 | −0.0716291 | ||||||||
\(232\) | −15.9635 | + | 13.4648i | −1.04805 | + | 0.884005i | ||||
\(233\) | −17.5906 | − | 20.3006i | −1.15240 | − | 1.32994i | −0.935328 | − | 0.353783i | \(-0.884895\pi\) |
−0.217071 | − | 0.976156i | \(-0.569650\pi\) | |||||||
\(234\) | −1.46406 | − | 7.78185i | −0.0957088 | − | 0.508716i | ||||
\(235\) | 32.9539 | − | 4.73806i | 2.14968 | − | 0.309077i | ||||
\(236\) | 26.8923 | − | 6.27195i | 1.75054 | − | 0.408269i | ||||
\(237\) | 11.2117 | + | 5.12023i | 0.728281 | + | 0.332595i | ||||
\(238\) | 20.5918 | − | 10.5005i | 1.33477 | − | 0.680645i | ||||
\(239\) | 2.17825 | − | 15.1500i | 0.140899 | − | 0.979975i | −0.789585 | − | 0.613642i | \(-0.789704\pi\) |
0.930484 | − | 0.366333i | \(-0.119387\pi\) | |||||||
\(240\) | −11.1463 | + | 5.49824i | −0.719488 | + | 0.354910i | ||||
\(241\) | −2.10726 | − | 0.618747i | −0.135741 | − | 0.0398570i | 0.213157 | − | 0.977018i | \(-0.431626\pi\) |
−0.348897 | + | 0.937161i | \(0.613444\pi\) | |||||||
\(242\) | 12.0455 | + | 9.55949i | 0.774317 | + | 0.614507i | ||||
\(243\) | −0.909632 | + | 0.415415i | −0.0583529 | + | 0.0266489i | ||||
\(244\) | −9.29605 | − | 12.0392i | −0.595119 | − | 0.770728i | ||||
\(245\) | 5.61590 | + | 4.86620i | 0.358786 | + | 0.310890i | ||||
\(246\) | 9.56163 | + | 10.1174i | 0.609627 | + | 0.645063i | ||||
\(247\) | −7.00236 | − | 4.50014i | −0.445549 | − | 0.286337i | ||||
\(248\) | −3.83209 | + | 2.39129i | −0.243338 | + | 0.151847i | ||||
\(249\) | 0.436332 | − | 0.280414i | 0.0276514 | − | 0.0177705i | ||||
\(250\) | 1.43741 | − | 0.490365i | 0.0909099 | − | 0.0310134i | ||||
\(251\) | 0.400751 | + | 1.36483i | 0.0252952 | + | 0.0861474i | 0.971173 | − | 0.238375i | \(-0.0766147\pi\) |
−0.945878 | + | 0.324522i | \(0.894796\pi\) | |||||||
\(252\) | −4.39817 | − | 4.26876i | −0.277058 | − | 0.268907i | ||||
\(253\) | −1.48985 | + | 0.826381i | −0.0936662 | + | 0.0519541i | ||||
\(254\) | −18.4746 | − | 7.49135i | −1.15920 | − | 0.470049i | ||||
\(255\) | −15.9003 | + | 4.66876i | −0.995717 | + | 0.292369i | ||||
\(256\) | 11.1808 | + | 11.4451i | 0.698799 | + | 0.715319i | ||||
\(257\) | −6.23903 | + | 4.00958i | −0.389180 | + | 0.250111i | −0.720569 | − | 0.693383i | \(-0.756119\pi\) |
0.331389 | + | 0.943494i | \(0.392483\pi\) | |||||||
\(258\) | −2.27443 | + | 9.19708i | −0.141600 | + | 0.572585i | ||||
\(259\) | −9.82589 | + | 15.2894i | −0.610551 | + | 0.950036i | ||||
\(260\) | −32.4157 | + | 12.6448i | −2.01034 | + | 0.784200i | ||||
\(261\) | 5.58010 | + | 4.83519i | 0.345400 | + | 0.299291i | ||||
\(262\) | −1.42422 | − | 0.830719i | −0.0879887 | − | 0.0513220i | ||||
\(263\) | −8.63536 | − | 18.9088i | −0.532479 | − | 1.16597i | −0.964495 | − | 0.264101i | \(-0.914925\pi\) |
0.432016 | − | 0.901866i | \(-0.357803\pi\) | |||||||
\(264\) | −0.129750 | − | 0.996370i | −0.00798557 | − | 0.0613223i | ||||
\(265\) | 20.2516 | + | 5.94640i | 1.24404 | + | 0.365284i | ||||
\(266\) | −6.43687 | + | 0.278018i | −0.394670 | + | 0.0170464i | ||||
\(267\) | −7.86467 | − | 1.13077i | −0.481310 | − | 0.0692019i | ||||
\(268\) | 0.377746 | + | 4.36476i | 0.0230745 | + | 0.266620i | ||||
\(269\) | −16.9916 | − | 7.75981i | −1.03600 | − | 0.473124i | −0.176519 | − | 0.984297i | \(-0.556484\pi\) |
−0.859478 | + | 0.511173i | \(0.829211\pi\) | |||||||
\(270\) | 2.53297 | + | 3.59066i | 0.154152 | + | 0.218520i | ||||
\(271\) | 3.37629 | + | 23.4826i | 0.205095 | + | 1.42647i | 0.788875 | + | 0.614554i | \(0.210664\pi\) |
−0.583780 | + | 0.811912i | \(0.698427\pi\) | |||||||
\(272\) | 12.0644 | + | 17.5945i | 0.731513 | + | 1.06683i | ||||
\(273\) | −11.2367 | − | 12.9678i | −0.680076 | − | 0.784850i | ||||
\(274\) | −20.8971 | − | 2.08900i | −1.26244 | − | 0.126201i | ||||
\(275\) | − | 1.65344i | − | 0.0997061i | ||||||
\(276\) | −9.25924 | − | 2.50330i | −0.557341 | − | 0.150681i | ||||
\(277\) | 5.29792i | 0.318321i | 0.987253 | + | 0.159161i | \(0.0508788\pi\) | ||||
−0.987253 | + | 0.159161i | \(0.949121\pi\) | |||||||
\(278\) | 0.394878 | − | 3.95012i | 0.0236832 | − | 0.236912i | ||||
\(279\) | 1.04581 | + | 1.20693i | 0.0626110 | + | 0.0722570i | ||||
\(280\) | −14.8609 | + | 22.4613i | −0.888111 | + | 1.34232i | ||||
\(281\) | −2.13354 | − | 14.8391i | −0.127276 | − | 0.885225i | −0.948986 | − | 0.315319i | \(-0.897889\pi\) |
0.821710 | − | 0.569906i | \(-0.193021\pi\) | |||||||
\(282\) | −12.3823 | + | 8.73487i | −0.737353 | + | 0.520154i | ||||
\(283\) | 15.9663 | + | 7.29156i | 0.949098 | + | 0.433438i | 0.828953 | − | 0.559318i | \(-0.188937\pi\) |
0.120145 | + | 0.992756i | \(0.461664\pi\) | |||||||
\(284\) | 17.2585 | − | 1.49363i | 1.02410 | − | 0.0886303i | ||||
\(285\) | 4.57209 | + | 0.657367i | 0.270827 | + | 0.0389391i | ||||
\(286\) | −0.121383 | − | 2.81034i | −0.00717752 | − | 0.166179i | ||||
\(287\) | 28.9439 | + | 8.49871i | 1.70851 | + | 0.501663i | ||||
\(288\) | 3.38267 | − | 4.53404i | 0.199326 | − | 0.267171i | ||||
\(289\) | 4.75438 | + | 10.4106i | 0.279669 | + | 0.612391i | ||||
\(290\) | 16.3467 | − | 28.0256i | 0.959912 | − | 1.64572i | ||||
\(291\) | 2.60879 | + | 2.26053i | 0.152930 | + | 0.132515i | ||||
\(292\) | −14.0969 | + | 5.49898i | −0.824960 | + | 0.321803i | ||||
\(293\) | 16.5243 | − | 25.7123i | 0.965359 | − | 1.50213i | 0.103721 | − | 0.994606i | \(-0.466925\pi\) |
0.861639 | − | 0.507522i | \(-0.169438\pi\) | |||||||
\(294\) | −3.28325 | − | 0.811944i | −0.191483 | − | 0.0473536i | ||||
\(295\) | −36.0901 | + | 23.1937i | −2.10125 | + | 1.35039i | ||||
\(296\) | −15.1642 | − | 7.17061i | −0.881401 | − | 0.416783i | ||||
\(297\) | −0.340854 | + | 0.100084i | −0.0197784 | + | 0.00580746i | ||||
\(298\) | −11.4658 | + | 28.2762i | −0.664199 | + | 1.63800i | ||||
\(299\) | −25.2211 | − | 9.21711i | −1.45857 | − | 0.533039i | ||||
\(300\) | 6.48327 | − | 6.67981i | 0.374312 | − | 0.385659i | ||||
\(301\) | 5.78403 | + | 19.6986i | 0.333386 | + | 1.13541i | ||||
\(302\) | −4.97907 | − | 14.5952i | −0.286513 | − | 0.839859i | ||||
\(303\) | 10.3127 | − | 6.62758i | 0.592450 | − | 0.380744i | ||||
\(304\) | −1.02161 | − | 5.85801i | −0.0585933 | − | 0.335980i | ||||
\(305\) | 19.8793 | + | 12.7756i | 1.13828 | + | 0.731531i | ||||
\(306\) | 5.48182 | − | 5.18068i | 0.313375 | − | 0.296160i | ||||
\(307\) | 12.2385 | + | 10.6047i | 0.698488 | + | 0.605243i | 0.929987 | − | 0.367592i | \(-0.119818\pi\) |
−0.231499 | + | 0.972835i | \(0.574363\pi\) | |||||||
\(308\) | −1.33071 | − | 1.72337i | −0.0758240 | − | 0.0981984i | ||||
\(309\) | 15.7525 | − | 7.19392i | 0.896128 | − | 0.409248i | ||||
\(310\) | 4.36234 | − | 5.49682i | 0.247764 | − | 0.312198i | ||||
\(311\) | 20.6433 | + | 6.06142i | 1.17057 | + | 0.343712i | 0.808533 | − | 0.588451i | \(-0.200262\pi\) |
0.362041 | + | 0.932162i | \(0.382080\pi\) | |||||||
\(312\) | 10.5292 | − | 11.8296i | 0.596098 | − | 0.669718i | ||||
\(313\) | 4.39234 | − | 30.5494i | 0.248270 | − | 1.72675i | −0.359939 | − | 0.932976i | \(-0.617202\pi\) |
0.608209 | − | 0.793777i | \(-0.291888\pi\) | |||||||
\(314\) | 4.81716 | + | 9.44662i | 0.271848 | + | 0.533104i | ||||
\(315\) | 8.66156 | + | 3.95560i | 0.488024 | + | 0.222873i | ||||
\(316\) | 5.59900 | + | 24.0069i | 0.314969 | + | 1.35049i | ||||
\(317\) | −1.99909 | + | 0.287425i | −0.112280 | + | 0.0161434i | −0.198226 | − | 0.980156i | \(-0.563518\pi\) |
0.0859458 | + | 0.996300i | \(0.472609\pi\) | |||||||
\(318\) | −9.44097 | + | 1.77621i | −0.529423 | + | 0.0996047i | ||||
\(319\) | 1.71767 | + | 1.98230i | 0.0961712 | + | 0.110988i | ||||
\(320\) | −22.3281 | − | 10.9240i | −1.24818 | − | 0.610672i | ||||
\(321\) | −0.855478 | −0.0477481 | ||||||||
\(322\) | −20.0648 | + | 5.42347i | −1.11817 | + | 0.302238i | ||||
\(323\) | − | 7.92863i | − | 0.441161i | ||||||
\(324\) | −1.76947 | − | 0.932185i | −0.0983040 | − | 0.0517881i | ||||
\(325\) | 19.6952 | − | 17.0660i | 1.09249 | − | 0.946650i | ||||
\(326\) | −2.79581 | − | 14.8604i | −0.154846 | − | 0.823043i | ||||
\(327\) | −1.03683 | − | 7.21129i | −0.0573366 | − | 0.398785i | ||||
\(328\) | −4.32857 | + | 27.5029i | −0.239005 | + | 1.51860i | ||||
\(329\) | −13.6408 | + | 29.8691i | −0.752041 | + | 1.64674i | ||||
\(330\) | 0.709133 | + | 1.39064i | 0.0390365 | + | 0.0765519i | ||||
\(331\) | 0.482597 | + | 0.0693870i | 0.0265259 | + | 0.00381385i | 0.155565 | − | 0.987826i | \(-0.450280\pi\) |
−0.129039 | + | 0.991640i | \(0.541189\pi\) | |||||||
\(332\) | 0.977237 | + | 0.347962i | 0.0536329 | + | 0.0190969i | ||||
\(333\) | −1.67083 | + | 5.69031i | −0.0915607 | + | 0.311827i | ||||
\(334\) | −1.85712 | − | 1.47383i | −0.101617 | − | 0.0806446i | ||||
\(335\) | −2.82745 | − | 6.19125i | −0.154480 | − | 0.338264i | ||||
\(336\) | 1.38151 | − | 12.1802i | 0.0753677 | − | 0.664482i | ||||
\(337\) | 3.19380 | − | 3.68584i | 0.173977 | − | 0.200781i | −0.662063 | − | 0.749448i | \(-0.730319\pi\) |
0.836041 | + | 0.548667i | \(0.184865\pi\) | |||||||
\(338\) | 18.8611 | − | 17.8250i | 1.02591 | − | 0.969552i | ||||
\(339\) | −1.90027 | + | 2.95688i | −0.103209 | + | 0.160596i | ||||
\(340\) | −26.8260 | − | 19.4636i | −1.45485 | − | 1.05556i | ||||
\(341\) | 0.306719 | + | 0.477263i | 0.0166097 | + | 0.0258453i | ||||
\(342\) | −1.98978 | + | 0.678802i | −0.107595 | + | 0.0367054i | ||||
\(343\) | 13.5508 | − | 3.97888i | 0.731675 | − | 0.214839i | ||||
\(344\) | −17.3392 | + | 7.64138i | −0.934865 | + | 0.411995i | ||||
\(345\) | 14.8560 | − | 1.16150i | 0.799821 | − | 0.0625328i | ||||
\(346\) | −3.45235 | + | 8.51391i | −0.185599 | + | 0.457711i | ||||
\(347\) | −0.167126 | − | 0.569178i | −0.00897178 | − | 0.0305551i | 0.954885 | − | 0.296974i | \(-0.0959776\pi\) |
−0.963857 | + | 0.266419i | \(0.914159\pi\) | |||||||
\(348\) | −0.833458 | + | 14.7435i | −0.0446780 | + | 0.790336i | ||||
\(349\) | 3.72746 | + | 5.80004i | 0.199526 | + | 0.310469i | 0.926570 | − | 0.376122i | \(-0.122743\pi\) |
−0.727044 | + | 0.686591i | \(0.759106\pi\) | |||||||
\(350\) | 4.84258 | − | 19.5819i | 0.258847 | − | 1.04670i | ||||
\(351\) | −4.71030 | − | 3.02712i | −0.251417 | − | 0.161576i | ||||
\(352\) | 1.41867 | − | 1.42328i | 0.0756153 | − | 0.0758612i | ||||
\(353\) | 10.4260 | − | 12.0322i | 0.554919 | − | 0.640411i | −0.407103 | − | 0.913382i | \(-0.633461\pi\) |
0.962022 | + | 0.272972i | \(0.0880065\pi\) | |||||||
\(354\) | 9.83792 | − | 16.8666i | 0.522880 | − | 0.896449i | ||||
\(355\) | −24.4805 | + | 11.1799i | −1.29929 | + | 0.593366i | ||||
\(356\) | −7.82315 | − | 13.8320i | −0.414626 | − | 0.733095i | ||||
\(357\) | 4.60477 | − | 15.6824i | 0.243710 | − | 0.830001i | ||||
\(358\) | −4.25684 | + | 0.183859i | −0.224981 | + | 0.00971727i | ||||
\(359\) | −0.0850789 | + | 0.591737i | −0.00449029 | + | 0.0312307i | −0.991943 | − | 0.126682i | \(-0.959567\pi\) |
0.987453 | + | 0.157912i | \(0.0504764\pi\) | |||||||
\(360\) | −2.58794 | + | 8.39866i | −0.136396 | + | 0.442648i | ||||
\(361\) | 6.97482 | − | 15.2727i | 0.367096 | − | 0.803828i | ||||
\(362\) | 0.737073 | − | 0.519956i | 0.0387397 | − | 0.0273283i | ||||
\(363\) | 10.7631 | − | 1.54750i | 0.564917 | − | 0.0812229i | ||||
\(364\) | 6.79334 | − | 33.6387i | 0.356068 | − | 1.76315i | ||||
\(365\) | 17.7661 | − | 15.3944i | 0.929919 | − | 0.805779i | ||||
\(366\) | −10.7021 | − | 1.06984i | −0.559406 | − | 0.0559216i | ||||
\(367\) | 25.0676 | 1.30852 | 0.654260 | − | 0.756270i | \(-0.272980\pi\) | ||||
0.654260 | + | 0.756270i | \(0.272980\pi\) | |||||||
\(368\) | −7.35504 | − | 17.7173i | −0.383408 | − | 0.923579i | ||||
\(369\) | 9.84345 | 0.512430 | ||||||||
\(370\) | 25.9306 | + | 2.59218i | 1.34807 | + | 0.134761i | ||||
\(371\) | −15.7326 | + | 13.6324i | −0.816797 | + | 0.707759i | ||||
\(372\) | −0.632263 | + | 3.13079i | −0.0327813 | + | 0.162324i | ||||
\(373\) | 1.63207 | − | 0.234656i | 0.0845053 | − | 0.0121500i | −0.0999325 | − | 0.994994i | \(-0.531863\pi\) |
0.184438 | + | 0.982844i | \(0.440954\pi\) | |||||||
\(374\) | 2.18948 | − | 1.54453i | 0.113215 | − | 0.0798659i | ||||
\(375\) | 0.446122 | − | 0.976872i | 0.0230377 | − | 0.0504454i | ||||
\(376\) | −28.9625 | − | 8.92442i | −1.49363 | − | 0.460242i | ||||
\(377\) | −5.88350 | + | 40.9206i | −0.303016 | + | 2.10752i | ||||
\(378\) | −4.32991 | + | 0.187015i | −0.222707 | + | 0.00961903i | ||||
\(379\) | 6.00074 | − | 20.4367i | 0.308237 | − | 1.04976i | −0.649080 | − | 0.760720i | \(-0.724846\pi\) |
0.957317 | − | 0.289040i | \(-0.0933360\pi\) | |||||||
\(380\) | 4.54796 | + | 8.04118i | 0.233305 | + | 0.412504i | ||||
\(381\) | −12.8228 | + | 5.85596i | −0.656930 | + | 0.300010i | ||||
\(382\) | −12.8374 | + | 22.0091i | −0.656821 | + | 1.12608i | ||||
\(383\) | 13.8810 | − | 16.0196i | 0.709287 | − | 0.818561i | −0.280688 | − | 0.959799i | \(-0.590563\pi\) |
0.989976 | + | 0.141238i | \(0.0451082\pi\) | |||||||
\(384\) | 11.3122 | − | 0.187273i | 0.577271 | − | 0.00955673i | ||||
\(385\) | 2.84567 | + | 1.82880i | 0.145029 | + | 0.0932044i | ||||
\(386\) | −4.19098 | + | 16.9470i | −0.213315 | + | 0.862581i | ||||
\(387\) | 3.62188 | + | 5.63575i | 0.184110 | + | 0.286481i | ||||
\(388\) | −0.389656 | + | 6.89285i | −0.0197818 | + | 0.349932i | ||||
\(389\) | 10.1708 | + | 34.6386i | 0.515680 | + | 1.75625i | 0.644528 | + | 0.764581i | \(0.277054\pi\) |
−0.128848 | + | 0.991664i | \(0.541128\pi\) | |||||||
\(390\) | −9.24544 | + | 22.8004i | −0.468161 | + | 1.15454i | ||||
\(391\) | −5.60245 | − | 24.9569i | −0.283328 | − | 1.26212i | ||||
\(392\) | −2.72788 | − | 6.18989i | −0.137779 | − | 0.312636i | ||||
\(393\) | −1.11864 | + | 0.328463i | −0.0564281 | + | 0.0165688i | ||||
\(394\) | −18.6287 | + | 6.35509i | −0.938503 | + | 0.320165i | ||||
\(395\) | −20.7051 | − | 32.2178i | −1.04179 | − | 1.62105i | ||||
\(396\) | −0.575069 | − | 0.417241i | −0.0288983 | − | 0.0209672i | ||||
\(397\) | −18.0003 | + | 28.0090i | −0.903410 | + | 1.40573i | 0.0105567 | + | 0.999944i | \(0.496640\pi\) |
−0.913967 | + | 0.405789i | \(0.866997\pi\) | |||||||
\(398\) | −5.05637 | + | 4.77861i | −0.253453 | + | 0.239530i | ||||
\(399\) | −2.98341 | + | 3.44304i | −0.149358 | + | 0.172368i | ||||
\(400\) | 18.4989 | + | 2.09820i | 0.924944 | + | 0.104910i | ||||
\(401\) | −7.21555 | − | 15.7999i | −0.360327 | − | 0.789007i | −0.999796 | − | 0.0201899i | \(-0.993573\pi\) |
0.639469 | − | 0.768817i | \(-0.279154\pi\) | |||||||
\(402\) | 2.42659 | + | 1.92577i | 0.121027 | + | 0.0960486i | ||||
\(403\) | −2.51920 | + | 8.57960i | −0.125490 | + | 0.427380i | ||||
\(404\) | 23.0970 | + | 8.22409i | 1.14912 | + | 0.409164i | ||||
\(405\) | 3.07552 | + | 0.442193i | 0.152824 | + | 0.0219728i | ||||
\(406\) | 14.5369 | + | 28.5074i | 0.721454 | + | 1.41480i | ||||
\(407\) | −0.875193 | + | 1.91640i | −0.0433817 | + | 0.0949927i | ||||
\(408\) | 14.9016 | + | 2.34531i | 0.737741 | + | 0.116110i | ||||
\(409\) | −0.894071 | − | 6.21840i | −0.0442090 | − | 0.307480i | −0.999914 | − | 0.0131524i | \(-0.995813\pi\) |
0.955705 | − | 0.294328i | \(-0.0950957\pi\) | |||||||
\(410\) | −7.99739 | − | 42.5080i | −0.394963 | − | 2.09932i | ||||
\(411\) | −11.2230 | + | 9.72479i | −0.553590 | + | 0.479688i | ||||
\(412\) | 30.6427 | + | 16.1431i | 1.50966 | + | 0.795311i | ||||
\(413\) | − | 42.3124i | − | 2.08206i | ||||||
\(414\) | −5.78356 | + | 3.54266i | −0.284247 | + | 0.174112i | ||||
\(415\) | −1.61158 | −0.0791094 | ||||||||
\(416\) | 31.5964 | + | 2.20825i | 1.54914 | + | 0.108269i | ||||
\(417\) | −1.83824 | − | 2.12145i | −0.0900192 | − | 0.103888i | ||||
\(418\) | −0.733981 | + | 0.138090i | −0.0359002 | + | 0.00675420i | ||||
\(419\) | −11.4266 | + | 1.64289i | −0.558224 | + | 0.0802604i | −0.415651 | − | 0.909524i | \(-0.636446\pi\) |
−0.142572 | + | 0.989784i | \(0.545537\pi\) | |||||||
\(420\) | 4.32548 | + | 18.5464i | 0.211062 | + | 0.904971i | ||||
\(421\) | 5.13294 | + | 2.34414i | 0.250164 | + | 0.114246i | 0.536551 | − | 0.843868i | \(-0.319727\pi\) |
−0.286387 | + | 0.958114i | \(0.592454\pi\) | |||||||
\(422\) | −10.2398 | − | 20.0806i | −0.498464 | − | 0.977507i | ||||
\(423\) | −1.52489 | + | 10.6058i | −0.0741427 | + | 0.515674i | ||||
\(424\) | −14.3517 | − | 12.7741i | −0.696979 | − | 0.620363i | ||||
\(425\) | 23.8180 | + | 6.99359i | 1.15534 | + | 0.339239i | ||||
\(426\) | 7.61458 | − | 9.59484i | 0.368928 | − | 0.464872i | ||||
\(427\) | −21.2005 | + | 9.68195i | −1.02596 | + | 0.468542i | ||||
\(428\) | −1.04567 | − | 1.35423i | −0.0505445 | − | 0.0654592i | ||||
\(429\) | −1.50323 | − | 1.30256i | −0.0725768 | − | 0.0628881i | ||||
\(430\) | 21.3949 | − | 20.2196i | 1.03175 | − | 0.975073i | ||||
\(431\) | −7.81831 | − | 5.02452i | −0.376595 | − | 0.242023i | 0.338627 | − | 0.940921i | \(-0.390038\pi\) |
−0.715221 | + | 0.698898i | \(0.753674\pi\) | |||||||
\(432\) | −0.687209 | − | 3.94053i | −0.0330633 | − | 0.189589i | ||||
\(433\) | −10.8950 | + | 7.00180i | −0.523581 | + | 0.336485i | −0.775587 | − | 0.631240i | \(-0.782546\pi\) |
0.252006 | + | 0.967726i | \(0.418910\pi\) | |||||||
\(434\) | 2.23470 | + | 6.55061i | 0.107269 | + | 0.314439i | ||||
\(435\) | −6.46343 | − | 22.0124i | −0.309898 | − | 1.05542i | ||||
\(436\) | 10.1482 | − | 10.4558i | 0.486011 | − | 0.500744i | ||||
\(437\) | −1.46930 | + | 6.97647i | −0.0702862 | + | 0.333730i | ||||
\(438\) | −4.02065 | + | 9.91541i | −0.192114 | + | 0.473777i | ||||
\(439\) | −15.9041 | + | 4.66985i | −0.759059 | + | 0.222880i | −0.638285 | − | 0.769800i | \(-0.720356\pi\) |
−0.120774 | + | 0.992680i | \(0.538538\pi\) | |||||||
\(440\) | −1.33460 | + | 2.82237i | −0.0636246 | + | 0.134551i | ||||
\(441\) | −2.01190 | + | 1.29297i | −0.0958047 | + | 0.0615699i | ||||
\(442\) | 40.9967 | + | 10.1384i | 1.95001 | + | 0.482236i | ||||
\(443\) | 14.1582 | − | 22.0306i | 0.672678 | − | 1.04671i | −0.322302 | − | 0.946637i | \(-0.604457\pi\) |
0.994980 | − | 0.100071i | \(-0.0319069\pi\) | |||||||
\(444\) | −11.0501 | + | 4.31047i | −0.524415 | + | 0.204566i | ||||
\(445\) | 18.6579 | + | 16.1672i | 0.884470 | + | 0.766398i | ||||
\(446\) | 17.8292 | − | 30.5672i | 0.844239 | − | 1.44740i | ||||
\(447\) | 8.96281 | + | 19.6258i | 0.423926 | + | 0.928269i | ||||
\(448\) | 20.9700 | − | 12.7012i | 0.990738 | − | 0.600073i | ||||
\(449\) | −25.0839 | − | 7.36529i | −1.18378 | − | 0.347589i | −0.370151 | − | 0.928972i | \(-0.620694\pi\) |
−0.813631 | + | 0.581382i | \(0.802512\pi\) | |||||||
\(450\) | −0.284034 | − | 6.57614i | −0.0133895 | − | 0.310002i | ||||
\(451\) | 3.46124 | + | 0.497651i | 0.162983 | + | 0.0234335i | ||||
\(452\) | −7.00352 | + | 0.606116i | −0.329418 | + | 0.0285093i | ||||
\(453\) | −9.91897 | − | 4.52984i | −0.466034 | − | 0.212830i | ||||
\(454\) | 11.5012 | − | 8.11330i | 0.539776 | − | 0.380776i | ||||
\(455\) | 7.58756 | + | 52.7726i | 0.355710 | + | 2.47402i | ||||
\(456\) | −3.50671 | − | 2.32013i | −0.164217 | − | 0.108650i | ||||
\(457\) | −13.2253 | − | 15.2628i | −0.618655 | − | 0.713966i | 0.356796 | − | 0.934182i | \(-0.383869\pi\) |
−0.975451 | + | 0.220217i | \(0.929324\pi\) | |||||||
\(458\) | −0.857639 | + | 8.57931i | −0.0400748 | + | 0.400885i | ||||
\(459\) | − | 5.33338i | − | 0.248941i | ||||||
\(460\) | 19.9975 | + | 22.0975i | 0.932390 | + | 1.03030i | ||||
\(461\) | − | 5.77874i | − | 0.269143i | −0.990904 | − | 0.134571i | \(-0.957034\pi\) | ||
0.990904 | − | 0.134571i | \(-0.0429658\pi\) | |||||||
\(462\) | −1.53197 | − | 0.153145i | −0.0712739 | − | 0.00712497i | ||||
\(463\) | −8.98090 | − | 10.3645i | −0.417378 | − | 0.481680i | 0.507658 | − | 0.861558i | \(-0.330511\pi\) |
−0.925036 | + | 0.379879i | \(0.875966\pi\) | |||||||
\(464\) | −24.3579 | + | 16.7020i | −1.13079 | + | 0.775371i | ||||
\(465\) | −0.706181 | − | 4.91160i | −0.0327484 | − | 0.227770i | ||||
\(466\) | −21.8978 | − | 31.0416i | −1.01439 | − | 1.43797i | ||||
\(467\) | −0.253674 | − | 0.115849i | −0.0117387 | − | 0.00536086i | 0.409537 | − | 0.912293i | \(-0.365690\pi\) |
−0.421276 | + | 0.906933i | \(0.638418\pi\) | |||||||
\(468\) | −0.965540 | − | 11.1566i | −0.0446321 | − | 0.515713i | ||||
\(469\) | 6.64471 | + | 0.955365i | 0.306824 | + | 0.0441147i | ||||
\(470\) | 47.0393 | − | 2.03170i | 2.16976 | − | 0.0937152i | ||||
\(471\) | 7.19440 | + | 2.11247i | 0.331500 | + | 0.0973373i | ||||
\(472\) | 38.7251 | − | 5.04289i | 1.78247 | − | 0.232118i | ||||
\(473\) | 0.988631 | + | 2.16480i | 0.0454573 | + | 0.0995376i | ||||
\(474\) | 15.0569 | + | 8.78237i | 0.691586 | + | 0.403388i | ||||
\(475\) | −5.22920 | − | 4.53112i | −0.239932 | − | 0.207902i | ||||
\(476\) | 30.4539 | − | 11.8796i | 1.39585 | − | 0.544500i | ||||
\(477\) | −3.67252 | + | 5.71454i | −0.168153 | + | 0.261651i | ||||
\(478\) | 5.19642 | − | 21.0127i | 0.237679 | − | 0.961100i | ||||
\(479\) | 1.50173 | − | 0.965105i | 0.0686159 | − | 0.0440968i | −0.505883 | − | 0.862602i | \(-0.668833\pi\) |
0.574499 | + | 0.818505i | \(0.305197\pi\) | |||||||
\(480\) | −16.4585 | + | 6.16916i | −0.751223 | + | 0.281582i | ||||
\(481\) | −31.8609 | + | 9.35519i | −1.45273 | + | 0.426560i | ||||
\(482\) | −2.87829 | − | 1.16713i | −0.131103 | − | 0.0531615i | ||||
\(483\) | −6.95797 | + | 12.9457i | −0.316599 | + | 0.589052i | ||||
\(484\) | 15.6057 | + | 15.1466i | 0.709352 | + | 0.688481i | ||||
\(485\) | −3.02177 | − | 10.2912i | −0.137211 | − | 0.467299i | ||||
\(486\) | −1.33847 | + | 0.456612i | −0.0607143 | + | 0.0207123i | ||||
\(487\) | −33.3110 | + | 21.4077i | −1.50947 | + | 0.970075i | −0.515922 | + | 0.856636i | \(0.672551\pi\) |
−0.993545 | + | 0.113440i | \(0.963813\pi\) | |||||||
\(488\) | −11.3878 | − | 18.2492i | −0.515503 | − | 0.826102i | ||||
\(489\) | −8.99490 | − | 5.78067i | −0.406763 | − | 0.261411i | ||||
\(490\) | 7.21815 | + | 7.63772i | 0.326083 | + | 0.345037i | ||||
\(491\) | −14.4736 | − | 12.5415i | −0.653186 | − | 0.565989i | 0.263963 | − | 0.964533i | \(-0.414970\pi\) |
−0.917149 | + | 0.398544i | \(0.869516\pi\) | |||||||
\(492\) | 12.0319 | + | 15.5823i | 0.542439 | + | 0.702504i | ||||
\(493\) | −35.8205 | + | 16.3587i | −1.61328 | + | 0.736759i | ||||
\(494\) | −9.22067 | − | 7.31763i | −0.414857 | − | 0.329236i | ||||
\(495\) | 1.05909 | + | 0.310976i | 0.0476023 | + | 0.0139773i | ||||
\(496\) | −5.72890 | + | 2.82596i | −0.257235 | + | 0.126889i | ||||
\(497\) | 3.77756 | − | 26.2735i | 0.169447 | − | 1.17853i | ||||
\(498\) | 0.653453 | − | 0.333218i | 0.0292819 | − | 0.0149319i | ||||
\(499\) | 9.56813 | + | 4.36962i | 0.428328 | + | 0.195611i | 0.617901 | − | 0.786256i | \(-0.287983\pi\) |
−0.189573 | + | 0.981867i | \(0.560710\pi\) | |||||||
\(500\) | 2.09171 | − | 0.487838i | 0.0935439 | − | 0.0218168i | ||||
\(501\) | −1.65940 | + | 0.238586i | −0.0741367 | + | 0.0106592i | ||||
\(502\) | 0.371943 | + | 1.97697i | 0.0166006 | + | 0.0882363i | ||||
\(503\) | −7.06526 | − | 8.15374i | −0.315024 | − | 0.363557i | 0.576050 | − | 0.817414i | \(-0.304593\pi\) |
−0.891075 | + | 0.453857i | \(0.850048\pi\) | |||||||
\(504\) | −5.58860 | − | 6.62570i | −0.248936 | − | 0.295132i | ||||
\(505\) | −38.0897 | −1.69497 | ||||||||
\(506\) | −2.21277 | + | 0.953302i | −0.0983696 | + | 0.0423795i | ||||
\(507\) | − | 18.3504i | − | 0.814968i | ||||||
\(508\) | −24.9436 | − | 13.1407i | −1.10669 | − | 0.583024i | ||||
\(509\) | 21.7199 | − | 18.8204i | 0.962717 | − | 0.834199i | −0.0234884 | − | 0.999724i | \(-0.507477\pi\) |
0.986206 | + | 0.165525i | \(0.0529318\pi\) | |||||||
\(510\) | −23.0317 | + | 4.33314i | −1.01986 | + | 0.191875i | ||||
\(511\) | 3.29967 | + | 22.9497i | 0.145969 | + | 1.01524i | ||||
\(512\) | 14.1236 | + | 17.6784i | 0.624180 | + | 0.781281i | ||||
\(513\) | −0.617559 | + | 1.35226i | −0.0272659 | + | 0.0597039i | ||||
\(514\) | −9.34360 | + | 4.76463i | −0.412129 | + | 0.210159i | ||||
\(515\) | −53.2601 | − | 7.65765i | −2.34692 | − | 0.337436i | ||||
\(516\) | −4.49435 | + | 12.6222i | −0.197853 | + | 0.555661i | ||||
\(517\) | −1.07239 | + | 3.65222i | −0.0471636 | + | 0.160625i | ||||
\(518\) | −15.9778 | + | 20.1330i | −0.702023 | + | 0.884592i | ||||
\(519\) | 2.69868 | + | 5.90930i | 0.118459 | + | 0.259389i | ||||
\(520\) | −47.3942 | + | 13.2338i | −2.07837 | + | 0.580342i | ||||
\(521\) | −7.42742 | + | 8.57170i | −0.325401 | + | 0.375533i | −0.894753 | − | 0.446561i | \(-0.852649\pi\) |
0.569352 | + | 0.822094i | \(0.307194\pi\) | |||||||
\(522\) | 7.17214 | + | 7.58904i | 0.313916 | + | 0.332163i | ||||
\(523\) | −12.0396 | + | 18.7340i | −0.526456 | + | 0.819182i | −0.998036 | − | 0.0626413i | \(-0.980048\pi\) |
0.471580 | + | 0.881823i | \(0.343684\pi\) | |||||||
\(524\) | −1.88731 | − | 1.36934i | −0.0824473 | − | 0.0598197i | ||||
\(525\) | −7.71149 | − | 11.9993i | −0.336557 | − | 0.523693i | ||||
\(526\) | −9.49174 | − | 27.8232i | −0.413860 | − | 1.21315i | ||||
\(527\) | −8.17237 | + | 2.39962i | −0.355994 | + | 0.104529i | ||||
\(528\) | −0.0424228 | − | 1.42034i | −0.00184622 | − | 0.0618125i | ||||
\(529\) | 0.304737 | + | 22.9980i | 0.0132494 | + | 0.999912i | ||||
\(530\) | 27.6615 | + | 11.2166i | 1.20154 | + | 0.487218i | ||||
\(531\) | −3.88988 | − | 13.2477i | −0.168806 | − | 0.574902i | ||||
\(532\) | −9.09707 | − | 0.514261i | −0.394408 | − | 0.0222960i | ||||
\(533\) | 29.7973 | + | 46.3656i | 1.29067 | + | 2.00832i | ||||
\(534\) | −10.9081 | − | 2.69756i | −0.472039 | − | 0.116735i | ||||
\(535\) | 2.23613 | + | 1.43708i | 0.0966765 | + | 0.0621302i | ||||
\(536\) | −0.0824360 | + | 6.19523i | −0.00356069 | + | 0.267593i | ||||
\(537\) | −1.97299 | + | 2.27696i | −0.0851410 | + | 0.0982580i | ||||
\(538\) | −22.8190 | − | 13.3098i | −0.983797 | − | 0.573828i | ||||
\(539\) | −0.772809 | + | 0.352930i | −0.0332872 | + | 0.0152018i | ||||
\(540\) | 3.05929 | + | 5.40909i | 0.131651 | + | 0.232770i | ||||
\(541\) | 1.34928 | − | 4.59522i | 0.0580100 | − | 0.197564i | −0.925390 | − | 0.379017i | \(-0.876262\pi\) |
0.983400 | + | 0.181454i | \(0.0580802\pi\) | |||||||
\(542\) | 1.44776 | + | 33.5196i | 0.0621868 | + | 1.43979i | ||||
\(543\) | 0.0907714 | − | 0.631329i | 0.00389537 | − | 0.0270929i | ||||
\(544\) | 14.5020 | + | 26.4562i | 0.621767 | + | 1.13430i | ||||
\(545\) | −9.40373 | + | 20.5913i | −0.402811 | + | 0.882034i | ||||
\(546\) | −13.9881 | − | 19.8290i | −0.598634 | − | 0.848605i | ||||
\(547\) | −37.6926 | + | 5.41938i | −1.61162 | + | 0.231716i | −0.888456 | − | 0.458962i | \(-0.848221\pi\) |
−0.723163 | + | 0.690678i | \(0.757312\pi\) | |||||||
\(548\) | −29.1126 | − | 5.87929i | −1.24363 | − | 0.251151i | ||||
\(549\) | −5.74764 | + | 4.98036i | −0.245303 | + | 0.212557i | ||||
\(550\) | 0.232593 | − | 2.32672i | 0.00991779 | − | 0.0992116i | ||||
\(551\) | 10.9764 | 0.467611 | ||||||||
\(552\) | −12.6775 | − | 4.82516i | −0.539588 | − | 0.205373i | ||||
\(553\) | 37.7725 | 1.60625 | ||||||||
\(554\) | −0.745270 | + | 7.45524i | −0.0316635 | + | 0.316743i | ||||
\(555\) | 13.9263 | − | 12.0672i | 0.591136 | − | 0.512223i | ||||
\(556\) | 1.11134 | − | 5.50306i | 0.0471315 | − | 0.233382i | ||||
\(557\) | 14.5908 | − | 2.09784i | 0.618232 | − | 0.0888883i | 0.173919 | − | 0.984760i | \(-0.444357\pi\) |
0.444313 | + | 0.895872i | \(0.353448\pi\) | |||||||
\(558\) | 1.30188 | + | 1.84551i | 0.0551131 | + | 0.0781266i | ||||
\(559\) | −15.5822 | + | 34.1202i | −0.659056 | + | 1.44313i | ||||
\(560\) | −24.0720 | + | 29.5170i | −1.01723 | + | 1.24732i | ||||
\(561\) | 0.269637 | − | 1.87537i | 0.0113841 | − | 0.0791780i | ||||
\(562\) | −0.914869 | − | 21.1817i | −0.0385914 | − | 0.893495i | ||||
\(563\) | −5.35279 | + | 18.2299i | −0.225593 | + | 0.768301i | 0.766439 | + | 0.642317i | \(0.222027\pi\) |
−0.992032 | + | 0.125983i | \(0.959791\pi\) | |||||||
\(564\) | −18.6531 | + | 10.5499i | −0.785436 | + | 0.444229i | ||||
\(565\) | 9.93424 | − | 4.53681i | 0.417936 | − | 0.190865i | ||||
\(566\) | 21.4420 | + | 12.5067i | 0.901277 | + | 0.525696i | ||||
\(567\) | −2.00686 | + | 2.31604i | −0.0842803 | + | 0.0972646i | ||||
\(568\) | 24.4962 | + | 0.325956i | 1.02784 | + | 0.0136768i | ||||
\(569\) | 21.9287 | + | 14.0927i | 0.919301 | + | 0.590799i | 0.912455 | − | 0.409178i | \(-0.134184\pi\) |
0.00684616 | + | 0.999977i | \(0.497821\pi\) | |||||||
\(570\) | 6.34137 | + | 1.56821i | 0.265611 | + | 0.0656852i | ||||
\(571\) | −3.81884 | − | 5.94223i | −0.159814 | − | 0.248675i | 0.752107 | − | 0.659040i | \(-0.229037\pi\) |
−0.911921 | + | 0.410366i | \(0.865401\pi\) | |||||||
\(572\) | 0.224526 | − | 3.97178i | 0.00938792 | − | 0.166069i | ||||
\(573\) | 5.07588 | + | 17.2869i | 0.212048 | + | 0.722169i | ||||
\(574\) | 39.5344 | + | 16.0310i | 1.65013 | + | 0.669121i | ||||
\(575\) | −19.6616 | − | 10.5676i | −0.819946 | − | 0.440698i | ||||
\(576\) | 5.39790 | − | 5.90446i | 0.224913 | − | 0.246019i | ||||
\(577\) | −19.7461 | + | 5.79797i | −0.822040 | + | 0.241373i | −0.665594 | − | 0.746314i | \(-0.731822\pi\) |
−0.156446 | + | 0.987687i | \(0.550004\pi\) | |||||||
\(578\) | 5.22588 | + | 15.3187i | 0.217368 | + | 0.637172i | ||||
\(579\) | 6.67386 | + | 10.3847i | 0.277356 | + | 0.431575i | ||||
\(580\) | 26.9455 | − | 37.1380i | 1.11885 | − | 1.54207i | ||||
\(581\) | 0.859345 | − | 1.33717i | 0.0356517 | − | 0.0554751i | ||||
\(582\) | 3.35310 | + | 3.54801i | 0.138991 | + | 0.147070i | ||||
\(583\) | −1.58027 | + | 1.82373i | −0.0654480 | + | 0.0755311i | ||||
\(584\) | −20.6107 | + | 5.75512i | −0.852878 | + | 0.238148i | ||||
\(585\) | 7.22712 | + | 15.8252i | 0.298805 | + | 0.654291i | ||||
\(586\) | 26.8700 | − | 33.8578i | 1.10999 | − | 1.39865i | ||||
\(587\) | 11.6723 | − | 39.7522i | 0.481767 | − | 1.64075i | −0.256724 | − | 0.966485i | \(-0.582643\pi\) |
0.738491 | − | 0.674263i | \(-0.235539\pi\) | |||||||
\(588\) | −4.50598 | − | 1.60443i | −0.185823 | − | 0.0661656i | ||||
\(589\) | 2.34994 | + | 0.337870i | 0.0968276 | + | 0.0139217i | ||||
\(590\) | −54.0487 | + | 27.5613i | −2.22515 | + | 1.13468i | ||||
\(591\) | −5.78172 | + | 12.6602i | −0.237828 | + | 0.520771i | ||||
\(592\) | −20.3304 | − | 12.2237i | −0.835572 | − | 0.502389i | ||||
\(593\) | −5.56858 | − | 38.7304i | −0.228674 | − | 1.59047i | −0.703703 | − | 0.710495i | \(-0.748471\pi\) |
0.475028 | − | 0.879970i | \(-0.342438\pi\) | |||||||
\(594\) | −0.493729 | + | 0.0928893i | −0.0202580 | + | 0.00381130i | ||||
\(595\) | −38.3805 | + | 33.2569i | −1.57345 | + | 1.36340i | ||||
\(596\) | −20.1124 | + | 38.1773i | −0.823836 | + | 1.56380i | ||||
\(597\) | 4.91945i | 0.201340i | ||||||||
\(598\) | −34.1945 | − | 16.5182i | −1.39832 | − | 0.675480i | ||||
\(599\) | −6.45151 | −0.263602 | −0.131801 | − | 0.991276i | \(-0.542076\pi\) | ||||
−0.131801 | + | 0.991276i | \(0.542076\pi\) | |||||||
\(600\) | 10.0629 | − | 8.48781i | 0.410817 | − | 0.346513i | ||||
\(601\) | −1.15481 | − | 1.33272i | −0.0471056 | − | 0.0543628i | 0.731708 | − | 0.681618i | \(-0.238724\pi\) |
−0.778813 | + | 0.627256i | \(0.784178\pi\) | |||||||
\(602\) | 5.36824 | + | 28.5335i | 0.218793 | + | 1.16294i | ||||
\(603\) | 2.16824 | − | 0.311746i | 0.0882976 | − | 0.0126953i | ||||
\(604\) | −4.95341 | − | 21.2388i | −0.201551 | − | 0.864193i | ||||
\(605\) | −30.7333 | − | 14.0354i | −1.24949 | − | 0.570621i | ||||
\(606\) | 15.4444 | − | 7.87561i | 0.627384 | − | 0.319925i | ||||
\(607\) | 1.41645 | − | 9.85162i | 0.0574919 | − | 0.399865i | −0.940673 | − | 0.339314i | \(-0.889805\pi\) |
0.998165 | − | 0.0605509i | \(-0.0192858\pi\) | |||||||
\(608\) | −0.613549 | − | 8.38710i | −0.0248827 | − | 0.340142i | ||||
\(609\) | 21.7107 | + | 6.37485i | 0.879764 | + | 0.258322i | ||||
\(610\) | 26.1770 | + | 20.7743i | 1.05987 | + | 0.841129i | ||||
\(611\) | −54.5727 | + | 24.9225i | −2.20777 | + | 1.00826i | ||||
\(612\) | 8.44279 | − | 6.51911i | 0.341280 | − | 0.263520i | ||||
\(613\) | 3.03491 | + | 2.62976i | 0.122579 | + | 0.106215i | 0.713993 | − | 0.700153i | \(-0.246885\pi\) |
−0.591414 | + | 0.806368i | \(0.701430\pi\) | |||||||
\(614\) | 15.7302 | + | 16.6446i | 0.634820 | + | 0.671720i | ||||
\(615\) | −25.7298 | − | 16.5355i | −1.03753 | − | 0.666777i | ||||
\(616\) | −1.63014 | − | 2.61233i | −0.0656802 | − | 0.105254i | ||||
\(617\) | 5.82496 | − | 3.74348i | 0.234504 | − | 0.150707i | −0.418112 | − | 0.908396i | \(-0.637308\pi\) |
0.652616 | + | 0.757689i | \(0.273672\pi\) | |||||||
\(618\) | 23.1789 | − | 7.90735i | 0.932391 | − | 0.318080i | ||||
\(619\) | −3.21216 | − | 10.9396i | −0.129108 | − | 0.439700i | 0.869412 | − | 0.494087i | \(-0.164498\pi\) |
−0.998520 | + | 0.0543873i | \(0.982679\pi\) | |||||||
\(620\) | 6.91193 | − | 7.12146i | 0.277590 | − | 0.286005i | ||||
\(621\) | −0.988359 | + | 4.69288i | −0.0396615 | + | 0.188319i | ||||
\(622\) | 28.1966 | + | 11.4336i | 1.13058 | + | 0.458444i | ||||
\(623\) | −23.3633 | + | 6.86008i | −0.936030 | + | 0.274843i | ||||
\(624\) | 16.4808 | − | 15.1654i | 0.659759 | − | 0.607102i | ||||
\(625\) | −22.3846 | + | 14.3857i | −0.895386 | + | 0.575430i | ||||
\(626\) | 10.4783 | − | 42.3712i | 0.418799 | − | 1.69349i | ||||
\(627\) | −0.285517 | + | 0.444273i | −0.0114025 | + | 0.0177426i | ||||
\(628\) | 5.44983 | + | 13.9709i | 0.217472 | + | 0.557501i | ||||
\(629\) | −23.9042 | − | 20.7131i | −0.953123 | − | 0.825886i | ||||
\(630\) | 11.6321 | + | 6.78477i | 0.463434 | + | 0.270312i | ||||
\(631\) | 14.9469 | + | 32.7291i | 0.595026 | + | 1.30292i | 0.932357 | + | 0.361539i | \(0.117748\pi\) |
−0.337331 | + | 0.941386i | \(0.609524\pi\) | |||||||
\(632\) | 4.50182 | + | 34.5701i | 0.179073 | + | 1.37513i | ||||
\(633\) | −15.2930 | − | 4.49044i | −0.607844 | − | 0.178479i | ||||
\(634\) | −2.85355 | + | 0.123249i | −0.113329 | + | 0.00489485i | ||||
\(635\) | 43.3545 | + | 6.23344i | 1.72047 | + | 0.247367i | ||||
\(636\) | −13.5352 | + | 1.17140i | −0.536705 | + | 0.0464489i | ||||
\(637\) | −12.1805 | − | 5.56266i | −0.482610 | − | 0.220401i | ||||
\(638\) | 2.13825 | + | 3.03112i | 0.0846543 | + | 0.120003i | ||||
\(639\) | −1.23266 | − | 8.57333i | −0.0487632 | − | 0.339156i | ||||
\(640\) | −29.8834 | − | 18.5132i | −1.18125 | − | 0.731800i | ||||
\(641\) | 29.6846 | + | 34.2578i | 1.17247 | + | 1.35310i | 0.923038 | + | 0.384709i | \(0.125698\pi\) |
0.249432 | + | 0.968392i | \(0.419756\pi\) | |||||||
\(642\) | −1.20383 | − | 0.120342i | −0.0475113 | − | 0.00474952i | ||||
\(643\) | − | 6.28724i | − | 0.247944i | −0.992286 | − | 0.123972i | \(-0.960437\pi\) | ||
0.992286 | − | 0.123972i | \(-0.0395634\pi\) | |||||||
\(644\) | −28.9981 | + | 4.80935i | −1.14269 | + | 0.189515i | ||||
\(645\) | − | 20.8155i | − | 0.819610i | ||||||
\(646\) | 1.11534 | − | 11.1572i | 0.0438823 | − | 0.438973i | ||||
\(647\) | −6.12848 | − | 7.07264i | −0.240935 | − | 0.278054i | 0.622384 | − | 0.782712i | \(-0.286164\pi\) |
−0.863320 | + | 0.504658i | \(0.831619\pi\) | |||||||
\(648\) | −2.35887 | − | 1.56069i | −0.0926651 | − | 0.0613096i | ||||
\(649\) | −0.698034 | − | 4.85493i | −0.0274002 | − | 0.190573i | ||||
\(650\) | 30.1158 | − | 21.2447i | 1.18124 | − | 0.833285i | ||||
\(651\) | 4.45183 | + | 2.03308i | 0.174481 | + | 0.0796828i | ||||
\(652\) | −1.84382 | − | 21.3049i | −0.0722096 | − | 0.834363i | ||||
\(653\) | −0.583846 | − | 0.0839443i | −0.0228476 | − | 0.00328500i | 0.130882 | − | 0.991398i | \(-0.458219\pi\) |
−0.153729 | + | 0.988113i | \(0.549128\pi\) | |||||||
\(654\) | −0.444595 | − | 10.2936i | −0.0173850 | − | 0.402511i | ||||
\(655\) | 3.47579 | + | 1.02058i | 0.135810 | + | 0.0398775i | ||||
\(656\) | −9.96006 | + | 38.0932i | −0.388875 | + | 1.48729i | ||||
\(657\) | 3.14292 | + | 6.88204i | 0.122617 | + | 0.268494i | ||||
\(658\) | −23.3971 | + | 40.1130i | −0.912112 | + | 1.56377i | ||||
\(659\) | 22.4051 | + | 19.4142i | 0.872780 | + | 0.756269i | 0.971046 | − | 0.238892i | \(-0.0767841\pi\) |
−0.0982658 | + | 0.995160i | \(0.531330\pi\) | |||||||
\(660\) | 0.802268 | + | 2.05666i | 0.0312282 | + | 0.0800552i | ||||
\(661\) | 26.1044 | − | 40.6193i | 1.01534 | − | 1.57991i | 0.218394 | − | 0.975861i | \(-0.429918\pi\) |
0.796950 | − | 0.604046i | \(-0.206446\pi\) | |||||||
\(662\) | 0.669350 | + | 0.165529i | 0.0260150 | + | 0.00643348i | ||||
\(663\) | 25.1218 | − | 16.1448i | 0.975649 | − | 0.627011i | ||||
\(664\) | 1.32622 | + | 0.627122i | 0.0514673 | + | 0.0243371i | ||||
\(665\) | 13.5821 | − | 3.98808i | 0.526693 | − | 0.154651i | ||||
\(666\) | −3.15166 | + | 7.77237i | −0.122124 | + | 0.301173i | ||||
\(667\) | 34.5503 | − | 7.75604i | 1.33779 | − | 0.300315i | ||||
\(668\) | −2.40601 | − | 2.33522i | −0.0930914 | − | 0.0903525i | ||||
\(669\) | −7.04962 | − | 24.0088i | −0.272554 | − | 0.928233i | ||||
\(670\) | −3.10785 | − | 9.11007i | −0.120067 | − | 0.351953i | ||||
\(671\) | −2.27283 | + | 1.46066i | −0.0877414 | + | 0.0563880i | ||||
\(672\) | 3.65747 | − | 16.9456i | 0.141090 | − | 0.653690i | ||||
\(673\) | 31.4324 | + | 20.2004i | 1.21163 | + | 0.778667i | 0.980930 | − | 0.194359i | \(-0.0622626\pi\) |
0.230698 | + | 0.973025i | \(0.425899\pi\) | |||||||
\(674\) | 5.01281 | − | 4.73744i | 0.193086 | − | 0.182479i | ||||
\(675\) | −3.51754 | − | 3.04796i | −0.135390 | − | 0.117316i | ||||
\(676\) | 29.0488 | − | 22.4301i | 1.11726 | − | 0.862696i | ||||
\(677\) | −34.7618 | + | 15.8752i | −1.33601 | + | 0.610133i | −0.949967 | − | 0.312350i | \(-0.898884\pi\) |
−0.386038 | + | 0.922483i | \(0.626157\pi\) | |||||||
\(678\) | −3.09001 | + | 3.89361i | −0.118671 | + | 0.149533i | ||||
\(679\) | 10.1501 | + | 2.98035i | 0.389527 | + | 0.114375i | ||||
\(680\) | −35.0116 | − | 31.1629i | −1.34263 | − | 1.19504i | ||||
\(681\) | 1.41638 | − | 9.85115i | 0.0542758 | − | 0.377497i | ||||
\(682\) | 0.364477 | + | 0.714752i | 0.0139565 | + | 0.0273693i | ||||
\(683\) | 46.4303 | + | 21.2040i | 1.77661 | + | 0.811349i | 0.977734 | + | 0.209847i | \(0.0672967\pi\) |
0.798872 | + | 0.601501i | \(0.205431\pi\) | |||||||
\(684\) | −2.89551 | + | 0.675304i | −0.110712 | + | 0.0258209i | ||||
\(685\) | 45.6720 | − | 6.56664i | 1.74504 | − | 0.250898i | ||||
\(686\) | 19.6284 | − | 3.69286i | 0.749417 | − | 0.140994i | ||||
\(687\) | 3.99250 | + | 4.60759i | 0.152324 | + | 0.175791i | ||||
\(688\) | −25.4746 | + | 8.31381i | −0.971210 | + | 0.316961i | ||||
\(689\) | −38.0344 | −1.44899 | ||||||||
\(690\) | 21.0688 | + | 0.455372i | 0.802075 | + | 0.0173357i | ||||
\(691\) | − | 12.3180i | − | 0.468601i | −0.972164 | − | 0.234300i | \(-0.924720\pi\) | ||
0.972164 | − | 0.234300i | \(-0.0752799\pi\) | |||||||
\(692\) | −6.05581 | + | 11.4951i | −0.230207 | + | 0.436979i | ||||
\(693\) | −0.822761 | + | 0.712926i | −0.0312541 | + | 0.0270818i | ||||
\(694\) | −0.155112 | − | 0.824457i | −0.00588796 | − | 0.0312960i | ||||
\(695\) | 1.24127 | + | 8.63323i | 0.0470841 | + | 0.327477i | ||||
\(696\) | −3.24685 | + | 20.6299i | −0.123071 | + | 0.781972i | ||||
\(697\) | −21.8088 | + | 47.7546i | −0.826067 | + | 1.80883i | ||||
\(698\) | 4.42938 | + | 8.68617i | 0.167654 | + | 0.328776i | ||||
\(699\) | −26.5882 | − | 3.82280i | −1.00566 | − | 0.144592i | ||||
\(700\) | 9.56910 | − | 26.8744i | 0.361678 | − | 1.01576i | ||||
\(701\) | 0.670724 | − | 2.28428i | 0.0253329 | − | 0.0862759i | −0.945856 | − | 0.324586i | \(-0.894775\pi\) |
0.971189 | + | 0.238310i | \(0.0765933\pi\) | |||||||
\(702\) | −6.20250 | − | 4.92237i | −0.234098 | − | 0.185783i | ||||
\(703\) | 3.66246 | + | 8.01966i | 0.138132 | + | 0.302467i | ||||
\(704\) | 2.19657 | − | 1.80328i | 0.0827862 | − | 0.0679635i | ||||
\(705\) | 21.8022 | − | 25.1610i | 0.821117 | − | 0.947619i | ||||
\(706\) | 16.3640 | − | 15.4651i | 0.615869 | − | 0.582037i | ||||
\(707\) | 20.3106 | − | 31.6040i | 0.763860 | − | 1.18859i | ||||
\(708\) | 16.2166 | − | 22.3507i | 0.609456 | − | 0.839992i | ||||
\(709\) | −24.3929 | − | 37.9561i | −0.916095 | − | 1.42547i | −0.904942 | − | 0.425534i | \(-0.860086\pi\) |
−0.0111529 | − | 0.999938i | \(-0.503550\pi\) | |||||||
\(710\) | −36.0216 | + | 12.2886i | −1.35187 | + | 0.461182i | ||||
\(711\) | 11.8263 | − | 3.47252i | 0.443521 | − | 0.130230i | ||||
\(712\) | −9.06296 | − | 20.5649i | −0.339649 | − | 0.770703i | ||||
\(713\) | 7.63563 | − | 0.596980i | 0.285956 | − | 0.0223571i | ||||
\(714\) | 8.68591 | − | 21.4205i | 0.325062 | − | 0.801642i | ||||
\(715\) | 1.74120 | + | 5.92997i | 0.0651170 | + | 0.221768i | ||||
\(716\) | −6.01609 | − | 0.340092i | −0.224832 | − | 0.0127098i | ||||
\(717\) | −8.27496 | − | 12.8761i | −0.309034 | − | 0.480866i | ||||
\(718\) | −0.202964 | + | 0.820723i | −0.00757454 | + | 0.0306291i | ||||
\(719\) | −1.23748 | − | 0.795279i | −0.0461501 | − | 0.0296589i | 0.517362 | − | 0.855766i | \(-0.326914\pi\) |
−0.563512 | + | 0.826108i | \(0.690550\pi\) | |||||||
\(720\) | −4.82320 | + | 11.4545i | −0.179750 | + | 0.426886i | ||||
\(721\) | 34.7537 | − | 40.1079i | 1.29430 | − | 1.49370i | ||||
\(722\) | 11.9634 | − | 20.5106i | 0.445232 | − | 0.763326i | ||||
\(723\) | −1.99775 | + | 0.912343i | −0.0742973 | + | 0.0339304i | ||||
\(724\) | 1.11035 | − | 0.627996i | 0.0412659 | − | 0.0233393i | ||||
\(725\) | −9.68194 | + | 32.9737i | −0.359578 | + | 1.22461i | ||||
\(726\) | 15.3636 | − | 0.663575i | 0.570195 | − | 0.0246276i | ||||
\(727\) | −3.81844 | + | 26.5578i | −0.141618 | + | 0.984975i | 0.787796 | + | 0.615936i | \(0.211222\pi\) |
−0.929414 | + | 0.369039i | \(0.879687\pi\) | |||||||
\(728\) | 14.2916 | − | 46.3808i | 0.529683 | − | 1.71899i | ||||
\(729\) | −0.415415 | + | 0.909632i | −0.0153857 | + | 0.0336901i | ||||
\(730\) | 27.1660 | − | 19.1638i | 1.00546 | − | 0.709284i | ||||
\(731\) | −35.3658 | + | 5.08484i | −1.30805 | + | 0.188070i | ||||
\(732\) | −14.9095 | − | 3.01097i | −0.551069 | − | 0.111288i | ||||
\(733\) | 25.3990 | − | 22.0084i | 0.938135 | − | 0.812899i | −0.0443927 | − | 0.999014i | \(-0.514135\pi\) |
0.982528 | + | 0.186115i | \(0.0595898\pi\) | |||||||
\(734\) | 35.2752 | + | 3.52632i | 1.30203 | + | 0.130159i | ||||
\(735\) | 7.43090 | 0.274093 | ||||||||
\(736\) | −7.85767 | − | 25.9665i | −0.289638 | − | 0.957136i | ||||
\(737\) | 0.778176 | 0.0286645 | ||||||||
\(738\) | 13.8517 | + | 1.38470i | 0.509888 | + | 0.0509715i | ||||
\(739\) | −10.3265 | + | 8.94800i | −0.379868 | + | 0.329157i | −0.823777 | − | 0.566915i | \(-0.808137\pi\) |
0.443909 | + | 0.896072i | \(0.353591\pi\) | |||||||
\(740\) | 36.1248 | + | 7.29542i | 1.32798 | + | 0.268185i | ||||
\(741\) | −8.23899 | + | 1.18459i | −0.302667 | + | 0.0435169i | ||||
\(742\) | −24.0566 | + | 16.9704i | −0.883147 | + | 0.623002i | ||||
\(743\) | 10.0763 | − | 22.0640i | 0.369663 | − | 0.809448i | −0.629803 | − | 0.776755i | \(-0.716864\pi\) |
0.999465 | − | 0.0326932i | \(-0.0104084\pi\) | |||||||
\(744\) | −1.33014 | + | 4.31670i | −0.0487651 | + | 0.158258i | ||||
\(745\) | 9.54056 | − | 66.3561i | 0.349539 | − | 2.43110i | ||||
\(746\) | 2.32966 | − | 0.100621i | 0.0852948 | − | 0.00368401i | ||||
\(747\) | 0.146126 | − | 0.497659i | 0.00534647 | − | 0.0182084i | ||||
\(748\) | 3.29831 | − | 1.86547i | 0.120598 | − | 0.0682083i | ||||
\(749\) | −2.38475 | + | 1.08908i | −0.0871369 | + | 0.0397941i | ||||
\(750\) | 0.765202 | − | 1.31190i | 0.0279412 | − | 0.0479037i | ||||
\(751\) | −0.995689 | + | 1.14909i | −0.0363332 | + | 0.0419308i | −0.773625 | − | 0.633643i | \(-0.781559\pi\) |
0.737292 | + | 0.675574i | \(0.236104\pi\) | |||||||
\(752\) | −39.5007 | − | 16.6327i | −1.44044 | − | 0.606531i | ||||
\(753\) | 1.19664 | + | 0.769035i | 0.0436081 | + | 0.0280252i | ||||
\(754\) | −14.0357 | + | 56.7559i | −0.511148 | + | 2.06693i | ||||
\(755\) | 18.3177 | + | 28.5029i | 0.666650 | + | 1.03733i | ||||
\(756\) | −6.11936 | − | 0.345930i | −0.222559 | − | 0.0125813i | ||||
\(757\) | 11.2102 | + | 38.1785i | 0.407443 | + | 1.38762i | 0.866483 | + | 0.499206i | \(0.166375\pi\) |
−0.459041 | + | 0.888415i | \(0.651807\pi\) | |||||||
\(758\) | 11.3191 | − | 27.9143i | 0.411129 | − | 1.01389i | ||||
\(759\) | −0.584791 | + | 1.60018i | −0.0212266 | + | 0.0580830i | ||||
\(760\) | 5.26871 | + | 11.9553i | 0.191116 | + | 0.433665i | ||||
\(761\) | 9.99306 | − | 2.93423i | 0.362248 | − | 0.106366i | −0.0955432 | − | 0.995425i | \(-0.530459\pi\) |
0.457791 | + | 0.889060i | \(0.348641\pi\) | |||||||
\(762\) | −18.8680 | + | 6.43670i | −0.683514 | + | 0.233177i | ||||
\(763\) | −12.0707 | − | 18.7824i | −0.436989 | − | 0.679969i | ||||
\(764\) | −21.1609 | + | 29.1653i | −0.765575 | + | 1.05516i | ||||
\(765\) | −8.95928 | + | 13.9409i | −0.323923 | + | 0.504035i | ||||
\(766\) | 21.7869 | − | 20.5900i | 0.787192 | − | 0.743949i | ||||
\(767\) | 50.6255 | − | 58.4249i | 1.82798 | − | 2.10960i | ||||
\(768\) | 15.9448 | + | 1.32777i | 0.575359 | + | 0.0479119i | ||||
\(769\) | 17.1262 | + | 37.5010i | 0.617585 | + | 1.35232i | 0.917263 | + | 0.398282i | \(0.130393\pi\) |
−0.299678 | + | 0.954040i | \(0.596879\pi\) | |||||||
\(770\) | 3.74717 | + | 2.97380i | 0.135038 | + | 0.107168i | ||||
\(771\) | −2.08943 | + | 7.11594i | −0.0752489 | + | 0.256274i | ||||
\(772\) | −8.28152 | + | 23.2583i | −0.298058 | + | 0.837085i | ||||
\(773\) | 13.3995 | + | 1.92656i | 0.481947 | + | 0.0692936i | 0.379007 | − | 0.925394i | \(-0.376266\pi\) |
0.102941 | + | 0.994687i | \(0.467175\pi\) | |||||||
\(774\) | 4.30391 | + | 8.44012i | 0.154701 | + | 0.303374i | ||||
\(775\) | −3.08779 | + | 6.76131i | −0.110917 | + | 0.242873i | ||||
\(776\) | −1.51796 | + | 9.64481i | −0.0544914 | + | 0.346228i | ||||
\(777\) | 2.58650 | + | 17.9895i | 0.0927903 | + | 0.645371i | ||||
\(778\) | 9.43967 | + | 50.1741i | 0.338429 | + | 1.79883i | ||||
\(779\) | 11.0591 | − | 9.58280i | 0.396235 | − | 0.343339i | ||||
\(780\) | −16.2176 | + | 30.7841i | −0.580682 | + | 1.10225i | ||||
\(781\) | − | 3.07694i | − | 0.110102i | ||||||
\(782\) | −4.37303 | − | 35.9074i | −0.156379 | − | 1.28405i | ||||
\(783\) | 7.38354 | 0.263866 | ||||||||
\(784\) | −2.96793 | − | 9.09414i | −0.105998 | − | 0.324791i | ||||
\(785\) | −15.2568 | − | 17.6073i | −0.544539 | − | 0.628431i | ||||
\(786\) | −1.62036 | + | 0.304852i | −0.0577963 | + | 0.0108737i | ||||
\(787\) | −6.65027 | + | 0.956164i | −0.237056 | + | 0.0340836i | −0.259819 | − | 0.965657i | \(-0.583663\pi\) |
0.0227626 | + | 0.999741i | \(0.492754\pi\) | |||||||
\(788\) | −27.1084 | + | 6.32234i | −0.965695 | + | 0.225224i | ||||
\(789\) | −18.9088 | − | 8.63536i | −0.673172 | − | 0.307427i | ||||
\(790\) | −24.6041 | − | 48.2496i | −0.875375 | − | 1.71664i | ||||
\(791\) | −1.53294 | + | 10.6618i | −0.0545051 | + | 0.379091i | ||||
\(792\) | −0.750542 | − | 0.668038i | −0.0266694 | − | 0.0237377i | ||||
\(793\) | −40.8578 | − | 11.9969i | −1.45090 | − | 0.426024i | ||||
\(794\) | −29.2701 | + | 36.8822i | −1.03876 | + | 1.30890i | ||||
\(795\) | 19.1992 | − | 8.76797i | 0.680924 | − | 0.310968i | ||||
\(796\) | −7.78755 | + | 6.01317i | −0.276022 | + | 0.213131i | ||||
\(797\) | −26.5423 | − | 22.9990i | −0.940176 | − | 0.814667i | 0.0426713 | − | 0.999089i | \(-0.486413\pi\) |
−0.982847 | + | 0.184422i | \(0.940959\pi\) | |||||||
\(798\) | −4.68260 | + | 4.42537i | −0.165762 | + | 0.156656i | ||||
\(799\) | −48.0748 | − | 30.8958i | −1.70076 | − | 1.09301i | ||||
\(800\) | 25.7365 | + | 5.55487i | 0.909921 | + | 0.196394i | ||||
\(801\) | −6.68421 | + | 4.29568i | −0.236175 | + | 0.151781i | ||||
\(802\) | −7.93112 | − | 23.2486i | −0.280058 | − | 0.820936i | ||||
\(803\) | 0.757209 | + | 2.57882i | 0.0267213 | + | 0.0910045i | ||||
\(804\) | 3.14379 | + | 3.05129i | 0.110873 | + | 0.107611i | ||||
\(805\) | 39.9344 | − | 22.1505i | 1.40750 | − | 0.780703i | ||||
\(806\) | −4.75193 | + | 11.7188i | −0.167379 | + | 0.412778i | ||||
\(807\) | −17.9230 | + | 5.26267i | −0.630919 | + | 0.185255i | ||||
\(808\) | 31.3452 | + | 14.8220i | 1.10272 | + | 0.521437i | ||||
\(809\) | −3.49238 | + | 2.24442i | −0.122786 | + | 0.0789095i | −0.600592 | − | 0.799556i | \(-0.705068\pi\) |
0.477806 | + | 0.878465i | \(0.341432\pi\) | |||||||
\(810\) | 4.26567 | + | 1.05489i | 0.149880 | + | 0.0370652i | ||||
\(811\) | −10.7324 | + | 16.7000i | −0.376867 | + | 0.586416i | −0.976936 | − | 0.213532i | \(-0.931503\pi\) |
0.600070 | + | 0.799948i | \(0.295140\pi\) | |||||||
\(812\) | 16.4461 | + | 42.1605i | 0.577146 | + | 1.47954i | ||||
\(813\) | 17.9294 | + | 15.5360i | 0.628813 | + | 0.544870i | ||||
\(814\) | −1.50116 | + | 2.57365i | −0.0526155 | + | 0.0902064i | ||||
\(815\) | 13.8011 | + | 30.2202i | 0.483431 | + | 1.05857i | ||||
\(816\) | 20.6397 | + | 5.39656i | 0.722533 | + | 0.188917i | ||||
\(817\) | 9.55570 | + | 2.80581i | 0.334312 | + | 0.0981628i | ||||
\(818\) | −0.383381 | − | 8.87631i | −0.0134046 | − | 0.310353i | ||||
\(819\) | −16.9843 | − | 2.44197i | −0.593478 | − | 0.0853293i | ||||
\(820\) | −5.27422 | − | 60.9423i | −0.184184 | − | 2.12820i | ||||
\(821\) | 12.0740 | + | 5.51403i | 0.421387 | + | 0.192441i | 0.614811 | − | 0.788674i | \(-0.289232\pi\) |
−0.193424 | + | 0.981115i | \(0.561959\pi\) | |||||||
\(822\) | −17.1610 | + | 12.1060i | −0.598559 | + | 0.422244i | ||||
\(823\) | −2.56989 | − | 17.8740i | −0.0895807 | − | 0.623047i | −0.984311 | − | 0.176441i | \(-0.943542\pi\) |
0.894731 | − | 0.446606i | \(-0.147368\pi\) | |||||||
\(824\) | 40.8495 | + | 27.0271i | 1.42306 | + | 0.941533i | ||||
\(825\) | −1.08277 | − | 1.24959i | −0.0376973 | − | 0.0435050i | ||||
\(826\) | 5.95218 | − | 59.5420i | 0.207103 | − | 2.07173i | ||||
\(827\) | 18.2854i | 0.635846i | 0.948117 | + | 0.317923i | \(0.102985\pi\) | ||||
−0.948117 | + | 0.317923i | \(0.897015\pi\) | |||||||
\(828\) | −8.63698 | + | 4.17164i | −0.300156 | + | 0.144975i | ||||
\(829\) | 2.52587i | 0.0877272i | 0.999038 | + | 0.0438636i | \(0.0139667\pi\) | ||||
−0.999038 | + | 0.0438636i | \(0.986033\pi\) | |||||||
\(830\) | −2.26782 | − | 0.226705i | −0.0787171 | − | 0.00786903i | ||||
\(831\) | 3.46940 | + | 4.00390i | 0.120352 | + | 0.138894i | ||||
\(832\) | 44.1519 | + | 7.55219i | 1.53069 | + | 0.261825i | ||||
\(833\) | −1.81523 | − | 12.6252i | −0.0628940 | − | 0.437437i | ||||
\(834\) | −2.28835 | − | 3.24389i | −0.0792391 | − | 0.112327i | ||||
\(835\) | 4.73830 | + | 2.16391i | 0.163976 | + | 0.0748852i | ||||
\(836\) | −1.05228 | + | 0.0910693i | −0.0363940 | + | 0.00314970i | ||||
\(837\) | 1.58074 | + | 0.227276i | 0.0546384 | + | 0.00785582i | ||||
\(838\) | −16.3105 | + | 0.704477i | −0.563439 | + | 0.0243358i | ||||
\(839\) | −6.24743 | − | 1.83441i | −0.215685 | − | 0.0633309i | 0.172105 | − | 0.985079i | \(-0.444943\pi\) |
−0.387790 | + | 0.921748i | \(0.626761\pi\) | |||||||
\(840\) | 3.47785 | + | 26.7069i | 0.119997 | + | 0.921477i | ||||
\(841\) | −10.6000 | − | 23.2107i | −0.365516 | − | 0.800369i | ||||
\(842\) | 6.89332 | + | 4.02073i | 0.237559 | + | 0.138563i | ||||
\(843\) | −11.3300 | − | 9.81746i | −0.390224 | − | 0.338131i | ||||
\(844\) | −11.5846 | − | 29.6978i | −0.398760 | − | 1.02224i | ||||
\(845\) | −30.8259 | + | 47.9660i | −1.06044 | + | 1.65008i | ||||
\(846\) | −3.63777 | + | 14.7100i | −0.125069 | + | 0.505741i | ||||
\(847\) | 28.0335 | − | 18.0160i | 0.963242 | − | 0.619038i | ||||
\(848\) | −18.3987 | − | 19.9945i | −0.631815 | − | 0.686615i | ||||
\(849\) | 16.8415 | − | 4.94510i | 0.577998 | − | 0.169716i | ||||
\(850\) | 32.5329 | + | 13.1919i | 1.11587 | + | 0.452479i | ||||
\(851\) | 17.1950 | + | 22.6555i | 0.589439 | + | 0.776620i | ||||
\(852\) | 12.0650 | − | 12.4307i | 0.413339 | − | 0.425869i | ||||
\(853\) | 13.9530 | + | 47.5197i | 0.477743 | + | 1.62704i | 0.747605 | + | 0.664143i | \(0.231204\pi\) |
−0.269862 | + | 0.962899i | \(0.586978\pi\) | |||||||
\(854\) | −31.1953 | + | 10.6421i | −1.06748 | + | 0.364166i | ||||
\(855\) | 3.88584 | − | 2.49728i | 0.132893 | − | 0.0854051i | ||||
\(856\) | −1.28097 | − | 2.05277i | −0.0437825 | − | 0.0701623i | ||||
\(857\) | −45.8189 | − | 29.4460i | −1.56514 | − | 1.00586i | −0.980954 | − | 0.194238i | \(-0.937777\pi\) |
−0.584188 | − | 0.811618i | \(-0.698587\pi\) | |||||||
\(858\) | −1.93212 | − | 2.04442i | −0.0659613 | − | 0.0697955i | ||||
\(859\) | 18.3256 | + | 15.8793i | 0.625263 | + | 0.541793i | 0.908834 | − | 0.417158i | \(-0.136974\pi\) |
−0.283571 | + | 0.958951i | \(0.591519\pi\) | |||||||
\(860\) | 32.9512 | − | 25.4433i | 1.12363 | − | 0.867609i | ||||
\(861\) | 27.4398 | − | 12.5314i | 0.935148 | − | 0.427068i | ||||
\(862\) | −10.2951 | − | 8.17032i | −0.350653 | − | 0.278282i | ||||
\(863\) | 12.7263 | + | 3.73679i | 0.433210 | + | 0.127202i | 0.491065 | − | 0.871123i | \(-0.336608\pi\) |
−0.0578549 | + | 0.998325i | \(0.518426\pi\) | |||||||
\(864\) | −0.412718 | − | 5.64178i | −0.0140409 | − | 0.191937i | ||||
\(865\) | 2.87265 | − | 19.9797i | 0.0976729 | − | 0.679330i | ||||
\(866\) | −16.3164 | + | 8.32031i | −0.554455 | + | 0.282736i | ||||
\(867\) | 10.4106 | + | 4.75438i | 0.353564 | + | 0.161467i | ||||
\(868\) | 2.22319 | + | 9.53238i | 0.0754599 | + | 0.323550i | ||||
\(869\) | 4.33403 | − | 0.623139i | 0.147022 | − | 0.0211385i | ||||
\(870\) | −5.99881 | − | 31.8851i | −0.203379 | − | 1.08101i | ||||
\(871\) | 8.03195 | + | 9.26936i | 0.272152 | + | 0.314080i | ||||
\(872\) | 15.7514 | − | 13.2859i | 0.533410 | − | 0.449917i | ||||
\(873\) | 3.45193 | 0.116830 | ||||||||
\(874\) | −3.04899 | + | 9.61060i | −0.103134 | + | 0.325083i | ||||
\(875\) | − | 3.29110i | − | 0.111259i | ||||||
\(876\) | −7.05268 | + | 13.3874i | −0.238288 | + | 0.452317i | ||||
\(877\) | −21.4118 | + | 18.5534i | −0.723026 | + | 0.626505i | −0.936591 | − | 0.350423i | \(-0.886038\pi\) |
0.213566 | + | 0.976929i | \(0.431492\pi\) | |||||||
\(878\) | −23.0371 | + | 4.33416i | −0.777465 | + | 0.146271i | ||||
\(879\) | −4.34975 | − | 30.2532i | −0.146713 | − | 1.02041i | ||||
\(880\) | −2.27508 | + | 3.78390i | −0.0766929 | + | 0.127555i | ||||
\(881\) | 13.1456 | − | 28.7849i | 0.442888 | − | 0.969789i | −0.548171 | − | 0.836366i | \(-0.684676\pi\) |
0.991059 | − | 0.133423i | \(-0.0425968\pi\) | |||||||
\(882\) | −3.01303 | + | 1.53645i | −0.101454 | + | 0.0517349i | ||||
\(883\) | 39.0837 | + | 5.61939i | 1.31527 | + | 0.189108i | 0.763999 | − | 0.645218i | \(-0.223233\pi\) |
0.551273 | + | 0.834325i | \(0.314142\pi\) | |||||||
\(884\) | 56.2643 | + | 20.0339i | 1.89237 | + | 0.673812i | ||||
\(885\) | −12.0864 | + | 41.1626i | −0.406281 | + | 1.38367i | ||||
\(886\) | 23.0226 | − | 29.0099i | 0.773458 | − | 0.974605i | ||||
\(887\) | 11.0855 | + | 24.2738i | 0.372214 | + | 0.815034i | 0.999347 | + | 0.0361226i | \(0.0115007\pi\) |
−0.627134 | + | 0.778912i | \(0.715772\pi\) | |||||||
\(888\) | −16.1561 | + | 4.51125i | −0.542163 | + | 0.151388i | ||||
\(889\) | −28.2900 | + | 32.6484i | −0.948817 | + | 1.09499i | ||||
\(890\) | 23.9812 | + | 25.3751i | 0.803850 | + | 0.850576i | ||||
\(891\) | −0.192060 | + | 0.298851i | −0.00643424 | + | 0.0100119i | ||||
\(892\) | 29.3893 | − | 40.5061i | 0.984025 | − | 1.35625i | ||||
\(893\) | 8.61178 | + | 13.4002i | 0.288182 | + | 0.448421i | ||||
\(894\) | 9.85165 | + | 28.8782i | 0.329489 | + | 0.965833i | ||||
\(895\) | 8.98216 | − | 2.63740i | 0.300241 | − | 0.0881586i | ||||
\(896\) | 31.2956 | − | 14.9232i | 1.04551 | − | 0.498548i | ||||
\(897\) | −25.0967 | + | 9.55047i | −0.837956 | + | 0.318881i | ||||
\(898\) | −34.2619 | − | 13.8930i | −1.14334 | − | 0.463617i | ||||
\(899\) | −3.32204 | − | 11.3138i | −0.110796 | − | 0.377338i | ||||
\(900\) | 0.525388 | − | 9.29390i | 0.0175129 | − | 0.309797i | ||||
\(901\) | −19.5869 | − | 30.4778i | −0.652534 | − | 1.01536i | ||||
\(902\) | 4.80065 | + | 1.18719i | 0.159844 | + | 0.0395292i | ||||
\(903\) | 17.2711 | + | 11.0995i | 0.574747 | + | 0.369367i | ||||
\(904\) | −9.94062 | − | 0.132274i | −0.330620 | − | 0.00439936i | ||||
\(905\) | −1.29781 | + | 1.49775i | −0.0431405 | + | 0.0497868i | ||||
\(906\) | −13.3207 | − | 7.76971i | −0.442552 | − | 0.258131i | ||||
\(907\) | 8.64130 | − | 3.94635i | 0.286930 | − | 0.131036i | −0.266751 | − | 0.963765i | \(-0.585950\pi\) |
0.553681 | + | 0.832729i | \(0.313223\pi\) | |||||||
\(908\) | 17.3257 | − | 9.79915i | 0.574975 | − | 0.325196i | ||||
\(909\) | 3.45369 | − | 11.7622i | 0.114552 | − | 0.390127i | ||||
\(910\) | 3.25357 | + | 75.3290i | 0.107855 | + | 2.49713i | ||||
\(911\) | 3.56376 | − | 24.7865i | 0.118073 | − | 0.821214i | −0.841601 | − | 0.540099i | \(-0.818387\pi\) |
0.959674 | − | 0.281115i | \(-0.0907042\pi\) | |||||||
\(912\) | −4.60826 | − | 3.75818i | −0.152595 | − | 0.124446i | ||||
\(913\) | 0.0765420 | − | 0.167604i | 0.00253317 | − | 0.00554687i | ||||
\(914\) | −16.4636 | − | 23.3383i | −0.544568 | − | 0.771963i | ||||
\(915\) | 23.3900 | − | 3.36298i | 0.773251 | − | 0.111177i | ||||
\(916\) | −2.41374 | + | 11.9522i | −0.0797522 | + | 0.394910i | ||||
\(917\) | −2.70020 | + | 2.33974i | −0.0891685 | + | 0.0772650i | ||||
\(918\) | 0.750257 | − | 7.50512i | 0.0247622 | − | 0.247706i | ||||
\(919\) | 17.5109 | 0.577630 | 0.288815 | − | 0.957385i | \(-0.406739\pi\) | ||||
0.288815 | + | 0.957385i | \(0.406739\pi\) | |||||||
\(920\) | 25.0320 | + | 33.9087i | 0.825282 | + | 1.11794i | ||||
\(921\) | 16.1939 | 0.533606 | ||||||||
\(922\) | 0.812908 | − | 8.13184i | 0.0267717 | − | 0.267808i | ||||
\(923\) | 36.6515 | − | 31.7587i | 1.20640 | − | 1.04535i | ||||
\(924\) | −2.13425 | − | 0.431012i | −0.0702117 | − | 0.0141793i | ||||
\(925\) | −27.3220 | + | 3.92831i | −0.898341 | + | 0.129162i | ||||
\(926\) | −11.1799 | − | 15.8483i | −0.367395 | − | 0.520808i | ||||
\(927\) | 7.19392 | − | 15.7525i | 0.236279 | − | 0.517380i | ||||
\(928\) | −36.6260 | + | 20.0766i | −1.20231 | + | 0.659046i | ||||
\(929\) | 3.12443 | − | 21.7309i | 0.102509 | − | 0.712967i | −0.872145 | − | 0.489248i | \(-0.837271\pi\) |
0.974654 | − | 0.223719i | \(-0.0718197\pi\) | |||||||
\(930\) | −0.302813 | − | 7.01094i | −0.00992964 | − | 0.229898i | ||||
\(931\) | −1.00164 | + | 3.41128i | −0.0328275 | + | 0.111800i | ||||
\(932\) | −26.4478 | − | 46.7621i | −0.866328 | − | 1.53174i | ||||
\(933\) | 19.5706 | − | 8.93757i | 0.640711 | − | 0.292603i | ||||
\(934\) | −0.340674 | − | 0.198708i | −0.0111472 | − | 0.00650192i | ||||
\(935\) | −3.85514 | + | 4.44907i | −0.126077 | + | 0.145500i | ||||
\(936\) | 0.210711 | − | 15.8354i | 0.00688731 | − | 0.517595i | ||||
\(937\) | −44.5300 | − | 28.6177i | −1.45473 | − | 0.934899i | −0.998997 | − | 0.0447827i | \(-0.985740\pi\) |
−0.455734 | − | 0.890116i | \(-0.650623\pi\) | |||||||
\(938\) | 9.21604 | + | 2.27912i | 0.300914 | + | 0.0744157i | ||||
\(939\) | −16.6861 | − | 25.9641i | −0.544530 | − | 0.847305i | ||||
\(940\) | 66.4795 | + | 3.75811i | 2.16832 | + | 0.122576i | ||||
\(941\) | 14.5943 | + | 49.7037i | 0.475762 | + | 1.62030i | 0.751970 | + | 0.659198i | \(0.229104\pi\) |
−0.276208 | + | 0.961098i | \(0.589078\pi\) | |||||||
\(942\) | 9.82679 | + | 3.98471i | 0.320174 | + | 0.129829i | ||||
\(943\) | 28.0394 | − | 37.9782i | 0.913090 | − | 1.23674i | ||||
\(944\) | 55.2034 | − | 1.64881i | 1.79672 | − | 0.0536643i | ||||
\(945\) | 9.13634 | − | 2.68267i | 0.297205 | − | 0.0872673i | ||||
\(946\) | 1.08667 | + | 3.18538i | 0.0353308 | + | 0.103566i | ||||
\(947\) | −27.2583 | − | 42.4147i | −0.885774 | − | 1.37829i | −0.925366 | − | 0.379076i | \(-0.876242\pi\) |
0.0395913 | − | 0.999216i | \(-0.487394\pi\) | |||||||
\(948\) | 19.9526 | + | 14.4766i | 0.648031 | + | 0.470179i | ||||
\(949\) | −22.9024 | + | 35.6369i | −0.743445 | + | 1.15682i | ||||
\(950\) | −6.72112 | − | 7.11180i | −0.218062 | − | 0.230737i | ||||
\(951\) | −1.32259 | + | 1.52635i | −0.0428878 | + | 0.0494952i | ||||
\(952\) | 44.5259 | − | 12.4329i | 1.44309 | − | 0.402953i | ||||
\(953\) | 18.4275 | + | 40.3506i | 0.596926 | + | 1.30709i | 0.931165 | + | 0.364597i | \(0.118793\pi\) |
−0.334239 | + | 0.942488i | \(0.608479\pi\) | |||||||
\(954\) | −5.97184 | + | 7.52489i | −0.193345 | + | 0.243627i | ||||
\(955\) | 15.7715 | − | 53.7129i | 0.510354 | − | 1.73811i | ||||
\(956\) | 10.2683 | − | 28.8381i | 0.332101 | − | 0.932691i | ||||
\(957\) | 2.59626 | + | 0.373286i | 0.0839252 | + | 0.0120666i | ||||
\(958\) | 2.24900 | − | 1.14684i | 0.0726620 | − | 0.0370528i | ||||
\(959\) | −18.9052 | + | 41.3967i | −0.610482 | + | 1.33677i | ||||
\(960\) | −24.0282 | + | 6.36599i | −0.775507 | + | 0.205461i | ||||
\(961\) | 4.04880 | + | 28.1600i | 0.130606 | + | 0.908388i | ||||
\(962\) | −46.1506 | + | 8.68269i | −1.48796 | + | 0.279941i | ||||
\(963\) | −0.646527 | + | 0.560219i | −0.0208341 | + | 0.0180528i | ||||
\(964\) | −3.88615 | − | 2.04729i | −0.125165 | − | 0.0659386i | ||||
\(965\) | − | 38.3557i | − | 1.23471i | ||||||
\(966\) | −11.6124 | + | 17.2385i | −0.373622 | + | 0.554638i | ||||
\(967\) | −31.0520 | −0.998563 | −0.499282 | − | 0.866440i | \(-0.666403\pi\) | ||||
−0.499282 | + | 0.866440i | \(0.666403\pi\) | |||||||
\(968\) | 19.8297 | + | 23.5096i | 0.637350 | + | 0.755626i | ||||
\(969\) | −5.19215 | − | 5.99206i | −0.166796 | − | 0.192493i | ||||
\(970\) | −2.80455 | − | 14.9068i | −0.0900485 | − | 0.478630i | ||||
\(971\) | −3.56079 | + | 0.511964i | −0.114271 | + | 0.0164297i | −0.199213 | − | 0.979956i | \(-0.563839\pi\) |
0.0849420 | + | 0.996386i | \(0.472930\pi\) | |||||||
\(972\) | −1.94773 | + | 0.454259i | −0.0624734 | + | 0.0145704i | ||||
\(973\) | −7.82508 | − | 3.57359i | −0.250861 | − | 0.114564i | ||||
\(974\) | −49.8867 | + | 25.4390i | −1.59847 | + | 0.815117i | ||||
\(975\) | 3.70879 | − | 25.7952i | 0.118776 | − | 0.826108i | ||||
\(976\) | −13.4578 | − | 27.2822i | −0.430774 | − | 0.873282i | ||||
\(977\) | 34.8058 | + | 10.2199i | 1.11353 | + | 0.326963i | 0.786217 | − | 0.617951i | \(-0.212037\pi\) |
0.327318 | + | 0.944914i | \(0.393855\pi\) | |||||||
\(978\) | −11.8444 | − | 9.39989i | −0.378744 | − | 0.300575i | ||||
\(979\) | −2.56753 | + | 1.17255i | −0.0820588 | + | 0.0374750i | ||||
\(980\) | 9.08296 | + | 11.7632i | 0.290145 | + | 0.375761i | ||||
\(981\) | −5.50597 | − | 4.77095i | −0.175792 | − | 0.152325i | ||||
\(982\) | −18.6031 | − | 19.6844i | −0.593648 | − | 0.628155i | ||||
\(983\) | −45.6917 | − | 29.3642i | −1.45734 | − | 0.936574i | −0.998854 | − | 0.0478711i | \(-0.984756\pi\) |
−0.458484 | − | 0.888703i | \(-0.651607\pi\) | |||||||
\(984\) | 14.7393 | + | 23.6199i | 0.469871 | + | 0.752976i | ||||
\(985\) | 36.3801 | − | 23.3801i | 1.15917 | − | 0.744950i | ||||
\(986\) | −52.7079 | + | 17.9810i | −1.67856 | + | 0.572632i | ||||
\(987\) | 9.25111 | + | 31.5064i | 0.294466 | + | 1.00286i | ||||
\(988\) | −11.9459 | − | 11.5945i | −0.380051 | − | 0.368869i | ||||
\(989\) | 32.0610 | + | 2.07966i | 1.01948 | + | 0.0661293i | ||||
\(990\) | 1.44660 | + | 0.586588i | 0.0459759 | + | 0.0186430i | ||||
\(991\) | 48.0999 | − | 14.1234i | 1.52794 | − | 0.448645i | 0.593524 | − | 0.804816i | \(-0.297736\pi\) |
0.934421 | + | 0.356171i | \(0.115918\pi\) | |||||||
\(992\) | −8.45925 | + | 3.17079i | −0.268581 | + | 0.100673i | ||||
\(993\) | 0.410161 | − | 0.263595i | 0.0130161 | − | 0.00836492i | ||||
\(994\) | 9.01173 | − | 36.4407i | 0.285835 | − | 1.15583i | ||||
\(995\) | 8.26395 | − | 12.8590i | 0.261985 | − | 0.407656i | ||||
\(996\) | 0.966413 | − | 0.376982i | 0.0306220 | − | 0.0119451i | ||||
\(997\) | 37.1653 | + | 32.2039i | 1.17704 | + | 1.01991i | 0.999358 | + | 0.0358185i | \(0.0114038\pi\) |
0.177677 | + | 0.984089i | \(0.443142\pi\) | |||||||
\(998\) | 12.8496 | + | 7.49489i | 0.406747 | + | 0.237247i | ||||
\(999\) | 2.46364 | + | 5.39461i | 0.0779460 | + | 0.170678i |
(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 | 552.2.bb.a.469.46 | yes | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.469.37 | yes | 480 | |
23.18 | even | 11 | inner | 552.2.bb.a.133.37 | ✓ | 480 | |
184.133 | even | 22 | inner | 552.2.bb.a.133.46 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.133.37 | ✓ | 480 | 23.18 | even | 11 | inner | |
552.2.bb.a.133.46 | yes | 480 | 184.133 | even | 22 | inner | |
552.2.bb.a.469.37 | yes | 480 | 8.5 | even | 2 | inner | |
552.2.bb.a.469.46 | yes | 480 | 1.1 | even | 1 | trivial |