Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,2,Mod(11,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.p (of order \(54\), degree \(18\), 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: | \(2.58715302549\) |
Analytic rank: | \(0\) |
Dimension: | \(936\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 324.11 |
Dual form | 324.2.p.a.59.4 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36952 | − | 0.352718i | −0.968398 | − | 0.249409i | ||||
\(3\) | 1.60792 | + | 0.643879i | 0.928335 | + | 0.371744i | ||||
\(4\) | 1.75118 | + | 0.966111i | 0.875590 | + | 0.483055i | ||||
\(5\) | −0.221174 | + | 1.89226i | −0.0989120 | + | 0.846246i | 0.849148 | + | 0.528155i | \(0.177116\pi\) |
−0.948060 | + | 0.318091i | \(0.896958\pi\) | |||||||
\(6\) | −1.97498 | − | 1.44895i | −0.806282 | − | 0.591531i | ||||
\(7\) | 0.167545 | + | 0.333610i | 0.0633261 | + | 0.126093i | 0.923069 | − | 0.384635i | \(-0.125673\pi\) |
−0.859743 | + | 0.510727i | \(0.829376\pi\) | |||||||
\(8\) | −2.05751 | − | 1.94078i | −0.727441 | − | 0.686170i | ||||
\(9\) | 2.17084 | + | 2.07062i | 0.723614 | + | 0.690205i | ||||
\(10\) | 0.970339 | − | 2.51349i | 0.306848 | − | 0.794834i | ||||
\(11\) | −1.11039 | + | 2.57416i | −0.334794 | + | 0.776140i | 0.664782 | + | 0.747037i | \(0.268524\pi\) |
−0.999576 | + | 0.0291027i | \(0.990735\pi\) | |||||||
\(12\) | 2.19371 | + | 2.68098i | 0.633268 | + | 0.773932i | ||||
\(13\) | 2.99565 | − | 0.709981i | 0.830843 | − | 0.196913i | 0.206879 | − | 0.978367i | \(-0.433669\pi\) |
0.623964 | + | 0.781453i | \(0.285521\pi\) | |||||||
\(14\) | −0.111786 | − | 0.515982i | −0.0298762 | − | 0.137902i | ||||
\(15\) | −1.57402 | + | 2.90021i | −0.406410 | + | 0.748831i | ||||
\(16\) | 2.13326 | + | 3.38367i | 0.533315 | + | 0.845917i | ||||
\(17\) | −2.21511 | + | 0.390583i | −0.537242 | + | 0.0947303i | −0.435685 | − | 0.900099i | \(-0.643494\pi\) |
−0.101558 | + | 0.994830i | \(0.532383\pi\) | |||||||
\(18\) | −2.24267 | − | 3.60145i | −0.528602 | − | 0.848870i | ||||
\(19\) | −5.40145 | − | 0.952421i | −1.23918 | − | 0.218500i | −0.484614 | − | 0.874728i | \(-0.661040\pi\) |
−0.754563 | + | 0.656227i | \(0.772151\pi\) | |||||||
\(20\) | −2.21545 | + | 3.10002i | −0.495390 | + | 0.693185i | ||||
\(21\) | 0.0545957 | + | 0.644298i | 0.0119137 | + | 0.140597i | ||||
\(22\) | 2.42865 | − | 3.13372i | 0.517790 | − | 0.668111i | ||||
\(23\) | 0.385154 | + | 0.193431i | 0.0803101 | + | 0.0403332i | 0.488501 | − | 0.872563i | \(-0.337544\pi\) |
−0.408191 | + | 0.912897i | \(0.633840\pi\) | |||||||
\(24\) | −2.05870 | − | 4.44542i | −0.420230 | − | 0.907418i | ||||
\(25\) | 1.33348 | + | 0.316040i | 0.266695 | + | 0.0632080i | ||||
\(26\) | −4.35302 | − | 0.0842845i | −0.853698 | − | 0.0165296i | ||||
\(27\) | 2.15732 | + | 4.72715i | 0.415177 | + | 0.909741i | ||||
\(28\) | −0.0289024 | + | 0.746078i | −0.00546204 | + | 0.140995i | ||||
\(29\) | 1.34433 | − | 0.402465i | 0.249635 | − | 0.0747359i | −0.159541 | − | 0.987191i | \(-0.551001\pi\) |
0.409176 | + | 0.912455i | \(0.365816\pi\) | |||||||
\(30\) | 3.17861 | − | 3.41671i | 0.580332 | − | 0.623804i | ||||
\(31\) | −1.43821 | − | 2.18670i | −0.258311 | − | 0.392743i | 0.682927 | − | 0.730486i | \(-0.260707\pi\) |
−0.941238 | + | 0.337744i | \(0.890336\pi\) | |||||||
\(32\) | −1.72806 | − | 5.38645i | −0.305482 | − | 0.952198i | ||||
\(33\) | −3.44287 | + | 3.42411i | −0.599326 | + | 0.596060i | ||||
\(34\) | 3.17140 | + | 0.246397i | 0.543891 | + | 0.0422567i | ||||
\(35\) | −0.668335 | + | 0.243254i | −0.112969 | + | 0.0411174i | ||||
\(36\) | 1.80109 | + | 5.72329i | 0.300181 | + | 0.953882i | ||||
\(37\) | 11.0643 | + | 4.02708i | 1.81896 | + | 0.662048i | 0.995509 | + | 0.0946651i | \(0.0301780\pi\) |
0.823454 | + | 0.567383i | \(0.192044\pi\) | |||||||
\(38\) | 7.06147 | + | 3.20955i | 1.14552 | + | 0.520658i | ||||
\(39\) | 5.27391 | + | 0.787236i | 0.844502 | + | 0.126059i | ||||
\(40\) | 4.12754 | − | 3.46411i | 0.652622 | − | 0.547724i | ||||
\(41\) | −0.432568 | + | 0.408106i | −0.0675557 | + | 0.0637355i | −0.719279 | − | 0.694721i | \(-0.755528\pi\) |
0.651723 | + | 0.758457i | \(0.274046\pi\) | |||||||
\(42\) | 0.152486 | − | 0.901637i | 0.0235291 | − | 0.139126i | ||||
\(43\) | −2.08028 | + | 1.54871i | −0.317239 | + | 0.236176i | −0.743986 | − | 0.668195i | \(-0.767067\pi\) |
0.426747 | + | 0.904371i | \(0.359660\pi\) | |||||||
\(44\) | −4.43141 | + | 3.43507i | −0.668061 | + | 0.517856i | ||||
\(45\) | −4.39829 | + | 3.64984i | −0.655658 | + | 0.544086i | ||||
\(46\) | −0.459250 | − | 0.400759i | −0.0677127 | − | 0.0590887i | ||||
\(47\) | 3.37922 | + | 2.22255i | 0.492909 | + | 0.324192i | 0.771512 | − | 0.636215i | \(-0.219501\pi\) |
−0.278602 | + | 0.960407i | \(0.589871\pi\) | |||||||
\(48\) | 1.25145 | + | 6.81424i | 0.180631 | + | 0.983551i | ||||
\(49\) | 4.09689 | − | 5.50307i | 0.585269 | − | 0.786153i | ||||
\(50\) | −1.71475 | − | 0.903165i | −0.242503 | − | 0.127727i | ||||
\(51\) | −3.81321 | − | 0.798232i | −0.533956 | − | 0.111775i | ||||
\(52\) | 5.93183 | + | 1.65082i | 0.822597 | + | 0.228928i | ||||
\(53\) | 5.07589 | − | 2.93057i | 0.697227 | − | 0.402544i | −0.109087 | − | 0.994032i | \(-0.534793\pi\) |
0.806314 | + | 0.591488i | \(0.201459\pi\) | |||||||
\(54\) | −1.28715 | − | 7.23486i | −0.175158 | − | 0.984540i | ||||
\(55\) | −4.62541 | − | 2.67048i | −0.623690 | − | 0.360088i | ||||
\(56\) | 0.302738 | − | 1.01158i | 0.0404550 | − | 0.135177i | ||||
\(57\) | −8.07188 | − | 5.00930i | −1.06915 | − | 0.663498i | ||||
\(58\) | −1.98304 | + | 0.0770160i | −0.260386 | + | 0.0101127i | ||||
\(59\) | −4.97300 | − | 11.5287i | −0.647430 | − | 1.50091i | −0.852806 | − | 0.522228i | \(-0.825101\pi\) |
0.205376 | − | 0.978683i | \(-0.434158\pi\) | |||||||
\(60\) | −5.55831 | + | 3.55811i | −0.717575 | + | 0.459350i | ||||
\(61\) | −0.301642 | + | 5.17899i | −0.0386213 | + | 0.663102i | 0.922333 | + | 0.386395i | \(0.126280\pi\) |
−0.960954 | + | 0.276706i | \(0.910757\pi\) | |||||||
\(62\) | 1.19838 | + | 3.50202i | 0.152194 | + | 0.444757i | ||||
\(63\) | −0.327064 | + | 1.07114i | −0.0412062 | + | 0.134950i | ||||
\(64\) | 0.466725 | + | 7.98637i | 0.0583406 | + | 0.998297i | ||||
\(65\) | 0.680913 | + | 5.82558i | 0.0844569 | + | 0.722575i | ||||
\(66\) | 5.92282 | − | 3.47503i | 0.729049 | − | 0.427746i | ||||
\(67\) | 1.69797 | + | 0.508339i | 0.207440 | + | 0.0621035i | 0.388837 | − | 0.921306i | \(-0.372877\pi\) |
−0.181397 | + | 0.983410i | \(0.558062\pi\) | |||||||
\(68\) | −4.25640 | − | 1.45606i | −0.516164 | − | 0.176573i | ||||
\(69\) | 0.494752 | + | 0.559015i | 0.0595611 | + | 0.0672975i | ||||
\(70\) | 1.00110 | − | 0.0974077i | 0.119654 | − | 0.0116424i | ||||
\(71\) | 8.93715 | − | 7.49916i | 1.06065 | − | 0.889987i | 0.0664726 | − | 0.997788i | \(-0.478825\pi\) |
0.994172 | + | 0.107801i | \(0.0343810\pi\) | |||||||
\(72\) | −0.447918 | − | 8.47345i | −0.0527876 | − | 0.998606i | ||||
\(73\) | −10.8049 | − | 9.06636i | −1.26461 | − | 1.06114i | −0.995175 | − | 0.0981197i | \(-0.968717\pi\) |
−0.269439 | − | 0.963017i | \(-0.586838\pi\) | |||||||
\(74\) | −13.7324 | − | 9.41777i | −1.59636 | − | 1.09479i | ||||
\(75\) | 1.94064 | + | 1.36677i | 0.224086 | + | 0.157821i | ||||
\(76\) | −8.53876 | − | 6.88626i | −0.979463 | − | 0.789908i | ||||
\(77\) | −1.04481 | + | 0.0608530i | −0.119067 | + | 0.00693485i | ||||
\(78\) | −6.94507 | − | 2.93834i | −0.786374 | − | 0.332702i | ||||
\(79\) | −10.7707 | − | 10.1616i | −1.21180 | − | 1.14327i | −0.985583 | − | 0.169194i | \(-0.945884\pi\) |
−0.226214 | − | 0.974078i | \(-0.572635\pi\) | |||||||
\(80\) | −6.87461 | + | 3.28831i | −0.768605 | + | 0.367645i | ||||
\(81\) | 0.425098 | + | 8.98996i | 0.0472331 | + | 0.998884i | ||||
\(82\) | 0.736357 | − | 0.406336i | 0.0813171 | − | 0.0448723i | ||||
\(83\) | −4.02464 | + | 4.26587i | −0.441761 | + | 0.468240i | −0.909546 | − | 0.415603i | \(-0.863571\pi\) |
0.467785 | + | 0.883842i | \(0.345052\pi\) | |||||||
\(84\) | −0.526856 | + | 1.18103i | −0.0574847 | + | 0.128861i | ||||
\(85\) | −0.249162 | − | 4.27795i | −0.0270255 | − | 0.464009i | ||||
\(86\) | 3.39524 | − | 1.38724i | 0.366118 | − | 0.149590i | ||||
\(87\) | 2.42072 | + | 0.218450i | 0.259528 | + | 0.0234203i | ||||
\(88\) | 7.28053 | − | 3.14136i | 0.776107 | − | 0.334870i | ||||
\(89\) | 8.91268 | − | 10.6217i | 0.944743 | − | 1.12590i | −0.0471583 | − | 0.998887i | \(-0.515017\pi\) |
0.991901 | − | 0.127013i | \(-0.0405390\pi\) | |||||||
\(90\) | 7.31091 | − | 3.44718i | 0.770638 | − | 0.363364i | ||||
\(91\) | 0.738762 | + | 0.880423i | 0.0774433 | + | 0.0922934i | ||||
\(92\) | 0.487597 | + | 0.710834i | 0.0508355 | + | 0.0741096i | ||||
\(93\) | −0.904571 | − | 4.44208i | −0.0937997 | − | 0.460622i | ||||
\(94\) | −3.84398 | − | 4.23574i | −0.396476 | − | 0.436883i | ||||
\(95\) | 2.99689 | − | 10.0103i | 0.307475 | − | 1.02704i | ||||
\(96\) | 0.689620 | − | 9.77366i | 0.0703840 | − | 0.997520i | ||||
\(97\) | −15.9056 | + | 1.85910i | −1.61497 | + | 0.188763i | −0.875084 | − | 0.483970i | \(-0.839194\pi\) |
−0.739885 | + | 0.672733i | \(0.765120\pi\) | |||||||
\(98\) | −7.55181 | + | 6.09153i | −0.762848 | + | 0.615338i | ||||
\(99\) | −7.74058 | + | 3.28892i | −0.777957 | + | 0.330549i | ||||
\(100\) | 2.02983 | + | 1.84173i | 0.202983 | + | 0.184173i | ||||
\(101\) | 3.02703 | + | 0.176304i | 0.301201 | + | 0.0175429i | 0.208080 | − | 0.978112i | \(-0.433279\pi\) |
0.0931209 | + | 0.995655i | \(0.470316\pi\) | |||||||
\(102\) | 4.94072 | + | 2.43818i | 0.489205 | + | 0.241416i | ||||
\(103\) | 11.3199 | − | 4.88291i | 1.11538 | − | 0.481128i | 0.243034 | − | 0.970018i | \(-0.421857\pi\) |
0.872345 | + | 0.488890i | \(0.162598\pi\) | |||||||
\(104\) | −7.54150 | − | 4.35310i | −0.739505 | − | 0.426857i | ||||
\(105\) | −1.23126 | − | 0.0391925i | −0.120158 | − | 0.00382480i | ||||
\(106\) | −7.98520 | + | 2.22311i | −0.775591 | + | 0.215928i | ||||
\(107\) | 0.727703 | − | 1.26042i | 0.0703497 | − | 0.121849i | −0.828705 | − | 0.559686i | \(-0.810922\pi\) |
0.899055 | + | 0.437837i | \(0.144255\pi\) | |||||||
\(108\) | −0.789094 | + | 10.3623i | −0.0759306 | + | 0.997113i | ||||
\(109\) | −4.59456 | − | 7.95802i | −0.440079 | − | 0.762240i | 0.557616 | − | 0.830099i | \(-0.311716\pi\) |
−0.997695 | + | 0.0678595i | \(0.978383\pi\) | |||||||
\(110\) | 5.39267 | + | 5.28875i | 0.514171 | + | 0.504263i | ||||
\(111\) | 15.1976 | + | 13.5993i | 1.44250 | + | 1.29079i | ||||
\(112\) | −0.771407 | + | 1.27859i | −0.0728911 | + | 0.120816i | ||||
\(113\) | −9.49420 | − | 7.06817i | −0.893139 | − | 0.664918i | 0.0494844 | − | 0.998775i | \(-0.484242\pi\) |
−0.942624 | + | 0.333857i | \(0.891650\pi\) | |||||||
\(114\) | 9.28774 | + | 9.70744i | 0.869877 | + | 0.909185i | ||||
\(115\) | −0.451209 | + | 0.686031i | −0.0420755 | + | 0.0639727i | ||||
\(116\) | 2.74298 | + | 0.593980i | 0.254680 | + | 0.0551497i | ||||
\(117\) | 7.97317 | + | 4.66158i | 0.737120 | + | 0.430963i | ||||
\(118\) | 2.74425 | + | 17.5429i | 0.252628 | + | 1.61495i | ||||
\(119\) | −0.501433 | − | 0.673541i | −0.0459662 | − | 0.0617434i | ||||
\(120\) | 8.86724 | − | 2.91239i | 0.809465 | − | 0.265863i | ||||
\(121\) | 2.15529 | + | 2.28448i | 0.195936 | + | 0.207680i | ||||
\(122\) | 2.23983 | − | 6.98635i | 0.202785 | − | 0.632514i | ||||
\(123\) | −0.958307 | + | 0.377683i | −0.0864076 | + | 0.0340545i | ||||
\(124\) | −0.405979 | − | 5.21878i | −0.0364580 | − | 0.468660i | ||||
\(125\) | −4.15095 | + | 11.4047i | −0.371273 | + | 1.02006i | ||||
\(126\) | 0.825730 | − | 1.35158i | 0.0735619 | − | 0.120408i | ||||
\(127\) | 4.67687 | + | 12.8496i | 0.415005 | + | 1.14022i | 0.954496 | + | 0.298225i | \(0.0963946\pi\) |
−0.539491 | + | 0.841992i | \(0.681383\pi\) | |||||||
\(128\) | 2.17775 | − | 11.1021i | 0.192488 | − | 0.981299i | ||||
\(129\) | −4.34211 | + | 1.15076i | −0.382301 | + | 0.101319i | ||||
\(130\) | 1.12226 | − | 8.21843i | 0.0984291 | − | 0.720804i | ||||
\(131\) | 15.3772 | − | 10.1138i | 1.34351 | − | 0.883643i | 0.345025 | − | 0.938593i | \(-0.387870\pi\) |
0.998489 | + | 0.0549502i | \(0.0175000\pi\) | |||||||
\(132\) | −9.33714 | + | 2.67004i | −0.812694 | + | 0.232397i | ||||
\(133\) | −0.587249 | − | 1.96155i | −0.0509210 | − | 0.170088i | ||||
\(134\) | −2.14611 | − | 1.29509i | −0.185395 | − | 0.111878i | ||||
\(135\) | −9.42217 | + | 3.03670i | −0.810931 | + | 0.261358i | ||||
\(136\) | 5.31565 | + | 3.49541i | 0.455813 | + | 0.299729i | ||||
\(137\) | −0.395499 | + | 1.66874i | −0.0337898 | + | 0.142570i | −0.987325 | − | 0.158711i | \(-0.949266\pi\) |
0.953535 | + | 0.301281i | \(0.0974143\pi\) | |||||||
\(138\) | −0.480398 | − | 0.940092i | −0.0408942 | − | 0.0800259i | ||||
\(139\) | −3.05343 | + | 6.07989i | −0.258989 | + | 0.515689i | −0.985120 | − | 0.171867i | \(-0.945020\pi\) |
0.726131 | + | 0.687556i | \(0.241316\pi\) | |||||||
\(140\) | −1.40538 | − | 0.219704i | −0.118777 | − | 0.0185684i | ||||
\(141\) | 4.00248 | + | 5.74949i | 0.337069 | + | 0.484195i | ||||
\(142\) | −14.8847 | + | 7.11797i | −1.24910 | + | 0.597327i | ||||
\(143\) | −1.49872 | + | 8.49964i | −0.125329 | + | 0.710775i | ||||
\(144\) | −2.37531 | + | 11.7626i | −0.197942 | + | 0.980214i | ||||
\(145\) | 0.464240 | + | 2.63284i | 0.0385531 | + | 0.218645i | ||||
\(146\) | 11.5996 | + | 16.2276i | 0.959992 | + | 1.34301i | ||||
\(147\) | 10.1308 | − | 6.21063i | 0.835574 | − | 0.512244i | ||||
\(148\) | 15.4850 | + | 17.7415i | 1.27286 | + | 1.45834i | ||||
\(149\) | −1.98397 | − | 8.37105i | −0.162534 | − | 0.685783i | −0.991894 | − | 0.127069i | \(-0.959443\pi\) |
0.829360 | − | 0.558714i | \(-0.188705\pi\) | |||||||
\(150\) | −2.17566 | − | 2.55631i | −0.177642 | − | 0.208722i | ||||
\(151\) | −11.6807 | − | 5.03855i | −0.950560 | − | 0.410032i | −0.136388 | − | 0.990655i | \(-0.543549\pi\) |
−0.814172 | + | 0.580624i | \(0.802809\pi\) | |||||||
\(152\) | 9.26511 | + | 12.4427i | 0.751500 | + | 1.00923i | ||||
\(153\) | −5.61739 | − | 3.73874i | −0.454139 | − | 0.302259i | ||||
\(154\) | 1.45235 | + | 0.285183i | 0.117034 | + | 0.0229807i | ||||
\(155\) | 4.45591 | − | 2.23784i | 0.357907 | − | 0.179748i | ||||
\(156\) | 8.47501 | + | 6.47378i | 0.678544 | + | 0.518317i | ||||
\(157\) | −1.28817 | − | 0.150565i | −0.102807 | − | 0.0120164i | 0.0645338 | − | 0.997916i | \(-0.479444\pi\) |
−0.167341 | + | 0.985899i | \(0.553518\pi\) | |||||||
\(158\) | 11.1665 | + | 17.7156i | 0.888359 | + | 1.40938i | ||||
\(159\) | 10.0486 | − | 1.44387i | 0.796903 | − | 0.114506i | ||||
\(160\) | 10.5748 | − | 2.07861i | 0.836010 | − | 0.164329i | ||||
\(161\) | 0.160900i | 0.0126807i | ||||||||
\(162\) | 2.58874 | − | 12.4619i | 0.203391 | − | 0.979098i | ||||
\(163\) | 15.2974i | 1.19818i | 0.800680 | + | 0.599092i | \(0.204472\pi\) | ||||
−0.800680 | + | 0.599092i | \(0.795528\pi\) | |||||||
\(164\) | −1.15178 | + | 0.296760i | −0.0899389 | + | 0.0231730i | ||||
\(165\) | −5.71784 | − | 7.27214i | −0.445134 | − | 0.566135i | ||||
\(166\) | 7.01648 | − | 4.42263i | 0.544584 | − | 0.343263i | ||||
\(167\) | 0.154650 | + | 0.0180760i | 0.0119672 | + | 0.00139877i | 0.122074 | − | 0.992521i | \(-0.461045\pi\) |
−0.110107 | + | 0.993920i | \(0.535119\pi\) | |||||||
\(168\) | 1.13811 | − | 1.43161i | 0.0878072 | − | 0.110451i | ||||
\(169\) | −3.14741 | + | 1.58069i | −0.242108 | + | 0.121591i | ||||
\(170\) | −1.16768 | + | 5.94663i | −0.0895569 | + | 0.456086i | ||||
\(171\) | −9.75359 | − | 13.2519i | −0.745875 | − | 1.01340i | ||||
\(172\) | −5.13916 | + | 0.702289i | −0.391857 | + | 0.0535490i | ||||
\(173\) | 23.6145 | + | 10.1863i | 1.79537 | + | 0.774449i | 0.980972 | + | 0.194149i | \(0.0621945\pi\) |
0.814403 | + | 0.580300i | \(0.197065\pi\) | |||||||
\(174\) | −3.23817 | − | 1.15300i | −0.245485 | − | 0.0874089i | ||||
\(175\) | 0.117984 | + | 0.497812i | 0.00891872 | + | 0.0376310i | ||||
\(176\) | −11.0789 | + | 1.73419i | −0.835100 | + | 0.130719i | ||||
\(177\) | −0.573117 | − | 21.7393i | −0.0430781 | − | 1.63403i | ||||
\(178\) | −15.9526 | + | 11.4030i | −1.19570 | + | 0.854692i | ||||
\(179\) | 1.88896 | + | 10.7128i | 0.141188 | + | 0.800716i | 0.970349 | + | 0.241707i | \(0.0777072\pi\) |
−0.829162 | + | 0.559009i | \(0.811182\pi\) | |||||||
\(180\) | −11.2283 | + | 2.14229i | −0.836911 | + | 0.159677i | ||||
\(181\) | 3.61707 | − | 20.5134i | 0.268855 | − | 1.52475i | −0.488974 | − | 0.872298i | \(-0.662629\pi\) |
0.757829 | − | 0.652453i | \(-0.226260\pi\) | |||||||
\(182\) | −0.701210 | − | 1.46633i | −0.0519771 | − | 0.108692i | ||||
\(183\) | −3.81966 | + | 8.13321i | −0.282357 | + | 0.601224i | ||||
\(184\) | −0.417051 | − | 1.14549i | −0.0307454 | − | 0.0844465i | ||||
\(185\) | −10.0674 | + | 20.0459i | −0.740173 | + | 1.47381i | ||||
\(186\) | −0.327974 | + | 6.40259i | −0.0240482 | + | 0.469460i | ||||
\(187\) | 1.45420 | − | 6.13574i | 0.106341 | − | 0.448690i | ||||
\(188\) | 3.77039 | + | 7.15678i | 0.274984 | + | 0.521962i | ||||
\(189\) | −1.21558 | + | 1.51171i | −0.0884201 | + | 0.109961i | ||||
\(190\) | −7.63513 | + | 12.6523i | −0.553911 | + | 0.917894i | ||||
\(191\) | 2.40172 | + | 8.02229i | 0.173782 | + | 0.580473i | 0.999857 | + | 0.0169122i | \(0.00538358\pi\) |
−0.826075 | + | 0.563560i | \(0.809431\pi\) | |||||||
\(192\) | −4.39180 | + | 13.1420i | −0.316951 | + | 0.948442i | ||||
\(193\) | 11.0582 | − | 7.27309i | 0.795987 | − | 0.523529i | −0.0851626 | − | 0.996367i | \(-0.527141\pi\) |
0.881149 | + | 0.472838i | \(0.156771\pi\) | |||||||
\(194\) | 22.4388 | + | 3.06412i | 1.61101 | + | 0.219991i | ||||
\(195\) | −2.65611 | + | 9.80552i | −0.190208 | + | 0.702188i | ||||
\(196\) | 12.4910 | − | 5.67882i | 0.892212 | − | 0.405630i | ||||
\(197\) | −5.92942 | − | 16.2909i | −0.422454 | − | 1.16068i | −0.950298 | − | 0.311341i | \(-0.899222\pi\) |
0.527845 | − | 0.849341i | \(-0.323000\pi\) | |||||||
\(198\) | 11.7609 | − | 1.77400i | 0.835814 | − | 0.126073i | ||||
\(199\) | 5.85498 | − | 16.0864i | 0.415048 | − | 1.14034i | −0.539423 | − | 0.842035i | \(-0.681358\pi\) |
0.954472 | − | 0.298301i | \(-0.0964200\pi\) | |||||||
\(200\) | −2.13028 | − | 3.23825i | −0.150634 | − | 0.228979i | ||||
\(201\) | 2.40290 | + | 1.91066i | 0.169487 | + | 0.134767i | ||||
\(202\) | −4.08340 | − | 1.30914i | −0.287307 | − | 0.0921108i | ||||
\(203\) | 0.359502 | + | 0.381050i | 0.0252321 | + | 0.0267444i | ||||
\(204\) | −5.90644 | − | 5.08183i | −0.413533 | − | 0.355799i | ||||
\(205\) | −0.676573 | − | 0.908795i | −0.0472539 | − | 0.0634730i | ||||
\(206\) | −17.2251 | + | 2.69453i | −1.20013 | + | 0.187737i | ||||
\(207\) | 0.435585 | + | 1.21741i | 0.0302753 | + | 0.0846161i | ||||
\(208\) | 8.79283 | + | 8.62169i | 0.609673 | + | 0.597807i | ||||
\(209\) | 8.44938 | − | 12.8467i | 0.584456 | − | 0.888622i | ||||
\(210\) | 1.67241 | + | 0.487962i | 0.115407 | + | 0.0336726i | ||||
\(211\) | 5.27859 | + | 3.92976i | 0.363393 | + | 0.270536i | 0.763333 | − | 0.646005i | \(-0.223562\pi\) |
−0.399940 | + | 0.916541i | \(0.630969\pi\) | |||||||
\(212\) | 11.7200 | − | 0.228076i | 0.804936 | − | 0.0156643i | ||||
\(213\) | 19.1988 | − | 6.30364i | 1.31548 | − | 0.431918i | ||||
\(214\) | −1.44118 | + | 1.46950i | −0.0985169 | + | 0.100453i | ||||
\(215\) | −2.47046 | − | 4.27897i | −0.168484 | − | 0.291823i | ||||
\(216\) | 4.73566 | − | 13.9131i | 0.322221 | − | 0.946665i | ||||
\(217\) | 0.488538 | − | 0.846173i | 0.0331641 | − | 0.0574420i | ||||
\(218\) | 3.48542 | + | 12.5193i | 0.236062 | + | 0.847912i | ||||
\(219\) | −11.5358 | − | 21.5350i | −0.779515 | − | 1.45520i | ||||
\(220\) | −5.51994 | − | 9.14515i | −0.372155 | − | 0.616566i | ||||
\(221\) | −6.35837 | + | 2.74273i | −0.427710 | + | 0.184496i | ||||
\(222\) | −16.0168 | − | 23.9851i | −1.07497 | − | 1.60977i | ||||
\(223\) | −20.7479 | − | 1.20843i | −1.38938 | − | 0.0809221i | −0.652932 | − | 0.757417i | \(-0.726461\pi\) |
−0.736448 | + | 0.676495i | \(0.763498\pi\) | |||||||
\(224\) | 1.50744 | − | 1.47897i | 0.100720 | − | 0.0988180i | ||||
\(225\) | 2.24037 | + | 3.44719i | 0.149358 | + | 0.229813i | ||||
\(226\) | 10.5094 | + | 13.0288i | 0.699078 | + | 0.866662i | ||||
\(227\) | 2.21526 | − | 0.258926i | 0.147032 | − | 0.0171855i | −0.0422586 | − | 0.999107i | \(-0.513455\pi\) |
0.189290 | + | 0.981921i | \(0.439381\pi\) | |||||||
\(228\) | −9.29577 | − | 16.5705i | −0.615627 | − | 1.09741i | ||||
\(229\) | −4.37047 | + | 14.5984i | −0.288809 | + | 0.964689i | 0.683296 | + | 0.730142i | \(0.260546\pi\) |
−0.972105 | + | 0.234547i | \(0.924639\pi\) | |||||||
\(230\) | 0.859917 | − | 0.780384i | 0.0567012 | − | 0.0514570i | ||||
\(231\) | −1.71915 | − | 0.574881i | −0.113112 | − | 0.0378244i | ||||
\(232\) | −3.54707 | − | 1.78097i | −0.232877 | − | 0.116926i | ||||
\(233\) | 18.3031 | + | 21.8128i | 1.19908 | + | 1.42901i | 0.875781 | + | 0.482708i | \(0.160347\pi\) |
0.323296 | + | 0.946298i | \(0.395209\pi\) | |||||||
\(234\) | −9.27520 | − | 9.19641i | −0.606339 | − | 0.601188i | ||||
\(235\) | −4.95304 | + | 5.90280i | −0.323101 | + | 0.385056i | ||||
\(236\) | 2.42940 | − | 24.9933i | 0.158140 | − | 1.62693i | ||||
\(237\) | −10.7756 | − | 23.2741i | −0.699950 | − | 1.51182i | ||||
\(238\) | 0.449153 | + | 1.09929i | 0.0291142 | + | 0.0712566i | ||||
\(239\) | 0.0356117 | + | 0.611429i | 0.00230353 | + | 0.0395501i | 0.999264 | − | 0.0383584i | \(-0.0122128\pi\) |
−0.996961 | + | 0.0779085i | \(0.975176\pi\) | |||||||
\(240\) | −13.1711 | + | 0.860941i | −0.850193 | + | 0.0555735i | ||||
\(241\) | −12.1891 | + | 12.9197i | −0.785168 | + | 0.832230i | −0.989175 | − | 0.146740i | \(-0.953122\pi\) |
0.204007 | + | 0.978969i | \(0.434604\pi\) | |||||||
\(242\) | −2.14595 | − | 3.88886i | −0.137947 | − | 0.249985i | ||||
\(243\) | −5.10491 | + | 14.7289i | −0.327480 | + | 0.944858i | ||||
\(244\) | −5.53171 | + | 8.77792i | −0.354131 | + | 0.561949i | ||||
\(245\) | 9.50715 | + | 8.96953i | 0.607389 | + | 0.573042i | ||||
\(246\) | 1.44564 | − | 0.179233i | 0.0921705 | − | 0.0114275i | ||||
\(247\) | −16.8570 | + | 0.981810i | −1.07259 | + | 0.0624711i | ||||
\(248\) | −1.28476 | + | 7.29042i | −0.0815824 | + | 0.462942i | ||||
\(249\) | −9.21801 | + | 4.26781i | −0.584168 | + | 0.270462i | ||||
\(250\) | 9.70745 | − | 14.1548i | 0.613953 | − | 0.895228i | ||||
\(251\) | −10.4224 | − | 8.74540i | −0.657853 | − | 0.552005i | 0.251589 | − | 0.967834i | \(-0.419047\pi\) |
−0.909443 | + | 0.415830i | \(0.863491\pi\) | |||||||
\(252\) | −1.60758 | + | 1.55977i | −0.101268 | + | 0.0982563i | ||||
\(253\) | −0.925594 | + | 0.776665i | −0.0581916 | + | 0.0488285i | ||||
\(254\) | −1.87279 | − | 19.2474i | −0.117509 | − | 1.20769i | ||||
\(255\) | 2.35385 | − | 7.03906i | 0.147404 | − | 0.440803i | ||||
\(256\) | −6.89840 | + | 14.4365i | −0.431150 | + | 0.902280i | ||||
\(257\) | −22.0565 | − | 6.60329i | −1.37585 | − | 0.411902i | −0.488324 | − | 0.872662i | \(-0.662392\pi\) |
−0.887525 | + | 0.460760i | \(0.847577\pi\) | |||||||
\(258\) | 6.35250 | − | 0.0444505i | 0.395490 | − | 0.00276737i | ||||
\(259\) | 0.510299 | + | 4.36588i | 0.0317084 | + | 0.271283i | ||||
\(260\) | −4.43576 | + | 10.8595i | −0.275094 | + | 0.673476i | ||||
\(261\) | 3.75167 | + | 1.90990i | 0.232223 | + | 0.118220i | ||||
\(262\) | −24.6268 | + | 8.42719i | −1.52145 | + | 0.520633i | ||||
\(263\) | 0.216164 | − | 3.71139i | 0.0133292 | − | 0.228854i | −0.985064 | − | 0.172189i | \(-0.944916\pi\) |
0.998393 | − | 0.0566654i | \(-0.0180468\pi\) | |||||||
\(264\) | 13.7292 | − | 0.363292i | 0.844973 | − | 0.0223591i | ||||
\(265\) | 4.42275 | + | 10.2531i | 0.271687 | + | 0.629842i | ||||
\(266\) | 0.112376 | + | 2.89352i | 0.00689024 | + | 0.177413i | ||||
\(267\) | 21.1700 | − | 11.3402i | 1.29558 | − | 0.694011i | ||||
\(268\) | 2.48234 | + | 2.53062i | 0.151633 | + | 0.154582i | ||||
\(269\) | −8.43080 | − | 4.86752i | −0.514035 | − | 0.296778i | 0.220456 | − | 0.975397i | \(-0.429246\pi\) |
−0.734491 | + | 0.678619i | \(0.762579\pi\) | |||||||
\(270\) | 13.9750 | − | 0.835457i | 0.850489 | − | 0.0508443i | ||||
\(271\) | 10.4310 | − | 6.02233i | 0.633637 | − | 0.365831i | −0.148522 | − | 0.988909i | \(-0.547452\pi\) |
0.782159 | + | 0.623078i | \(0.214118\pi\) | |||||||
\(272\) | −6.04700 | − | 6.66197i | −0.366653 | − | 0.403941i | ||||
\(273\) | 0.620989 | + | 1.89133i | 0.0375839 | + | 0.114468i | ||||
\(274\) | 1.13024 | − | 2.14588i | 0.0682804 | − | 0.129637i | ||||
\(275\) | −2.29421 | + | 3.08166i | −0.138346 | + | 0.185831i | ||||
\(276\) | 0.326328 | + | 1.45692i | 0.0196426 | + | 0.0876963i | ||||
\(277\) | 10.0300 | + | 6.59684i | 0.602645 | + | 0.396366i | 0.813849 | − | 0.581076i | \(-0.197368\pi\) |
−0.211204 | + | 0.977442i | \(0.567738\pi\) | |||||||
\(278\) | 6.32623 | − | 7.24954i | 0.379422 | − | 0.434798i | ||||
\(279\) | 1.40568 | − | 7.72496i | 0.0841558 | − | 0.462482i | ||||
\(280\) | 1.84721 | + | 0.796594i | 0.110392 | + | 0.0476056i | ||||
\(281\) | −13.4492 | + | 10.0125i | −0.802309 | + | 0.597297i | −0.918269 | − | 0.395957i | \(-0.870413\pi\) |
0.115960 | + | 0.993254i | \(0.463006\pi\) | |||||||
\(282\) | −3.45353 | − | 9.28580i | −0.205654 | − | 0.552961i | ||||
\(283\) | −3.64566 | + | 3.43950i | −0.216712 | + | 0.204457i | −0.786941 | − | 0.617029i | \(-0.788336\pi\) |
0.570228 | + | 0.821486i | \(0.306855\pi\) | |||||||
\(284\) | 22.8956 | − | 4.49810i | 1.35860 | − | 0.266913i | ||||
\(285\) | 11.2642 | − | 14.1662i | 0.667234 | − | 0.839133i | ||||
\(286\) | 5.05050 | − | 11.1118i | 0.298642 | − | 0.657055i | ||||
\(287\) | −0.208623 | − | 0.0759325i | −0.0123146 | − | 0.00448216i | ||||
\(288\) | 7.40191 | − | 15.2713i | 0.436162 | − | 0.899868i | ||||
\(289\) | −11.2206 | + | 4.08398i | −0.660037 | + | 0.240234i | ||||
\(290\) | 0.292863 | − | 3.76947i | 0.0171975 | − | 0.221351i | ||||
\(291\) | −26.7720 | − | 7.25199i | −1.56940 | − | 0.425119i | ||||
\(292\) | −10.1622 | − | 26.3155i | −0.594695 | − | 1.54000i | ||||
\(293\) | 5.24967 | + | 7.98173i | 0.306689 | + | 0.466298i | 0.955642 | − | 0.294531i | \(-0.0951633\pi\) |
−0.648953 | + | 0.760828i | \(0.724793\pi\) | |||||||
\(294\) | −16.0649 | + | 4.93227i | −0.936927 | + | 0.287656i | ||||
\(295\) | 22.9153 | − | 6.86038i | 1.33418 | − | 0.399427i | ||||
\(296\) | −14.9493 | − | 29.7592i | −0.868910 | − | 1.72972i | ||||
\(297\) | −14.5639 | + | 0.304337i | −0.845085 | + | 0.0176594i | ||||
\(298\) | −0.235525 | + | 12.1641i | −0.0136436 | + | 0.704648i | ||||
\(299\) | 1.29112 | + | 0.306000i | 0.0746672 | + | 0.0176965i | ||||
\(300\) | 2.07796 | + | 4.26832i | 0.119971 | + | 0.246432i | ||||
\(301\) | −0.865204 | − | 0.434522i | −0.0498695 | − | 0.0250454i | ||||
\(302\) | 14.2198 | + | 11.0204i | 0.818255 | + | 0.634153i | ||||
\(303\) | 4.75371 | + | 2.23252i | 0.273094 | + | 0.128255i | ||||
\(304\) | −8.30002 | − | 20.3085i | −0.476039 | − | 1.16477i | ||||
\(305\) | −9.73331 | − | 1.71624i | −0.557328 | − | 0.0982719i | ||||
\(306\) | 6.37442 | + | 7.10164i | 0.364401 | + | 0.405974i | ||||
\(307\) | 32.2648 | − | 5.68916i | 1.84145 | − | 0.324697i | 0.859108 | − | 0.511794i | \(-0.171019\pi\) |
0.982341 | + | 0.187097i | \(0.0599078\pi\) | |||||||
\(308\) | −1.88843 | − | 0.902834i | −0.107604 | − | 0.0514437i | ||||
\(309\) | 21.3455 | − | 0.562735i | 1.21430 | − | 0.0320129i | ||||
\(310\) | −6.89179 | + | 1.49309i | −0.391427 | + | 0.0848019i | ||||
\(311\) | −29.0155 | + | 6.87680i | −1.64532 | + | 0.389947i | −0.945821 | − | 0.324688i | \(-0.894741\pi\) |
−0.699497 | + | 0.714636i | \(0.746592\pi\) | |||||||
\(312\) | −9.32329 | − | 11.8553i | −0.527827 | − | 0.671172i | ||||
\(313\) | −7.61514 | + | 17.6539i | −0.430433 | + | 0.997857i | 0.555621 | + | 0.831435i | \(0.312480\pi\) |
−0.986055 | + | 0.166421i | \(0.946779\pi\) | |||||||
\(314\) | 1.71107 | + | 0.660563i | 0.0965611 | + | 0.0372777i | ||||
\(315\) | −1.95453 | − | 0.855799i | −0.110125 | − | 0.0482188i | ||||
\(316\) | −9.04416 | − | 28.2005i | −0.508774 | − | 1.58640i | ||||
\(317\) | 5.77951 | + | 11.5080i | 0.324610 | + | 0.646351i | 0.995454 | − | 0.0952476i | \(-0.0303643\pi\) |
−0.670844 | + | 0.741598i | \(0.734068\pi\) | |||||||
\(318\) | −14.2710 | − | 1.56690i | −0.800279 | − | 0.0878675i | ||||
\(319\) | −0.456711 | + | 3.90741i | −0.0255709 | + | 0.218773i | ||||
\(320\) | −15.2156 | − | 0.883212i | −0.850576 | − | 0.0493730i | ||||
\(321\) | 1.98165 | − | 1.55810i | 0.110605 | − | 0.0869649i | ||||
\(322\) | 0.0567522 | − | 0.220355i | 0.00316268 | − | 0.0122799i | ||||
\(323\) | 12.3368 | 0.686437 | ||||||||
\(324\) | −7.94087 | + | 16.1537i | −0.441159 | + | 0.897429i | ||||
\(325\) | 4.21901 | 0.234028 | ||||||||
\(326\) | 5.39567 | − | 20.9501i | 0.298838 | − | 1.16032i | ||||
\(327\) | −2.26371 | − | 15.7542i | −0.125184 | − | 0.871211i | ||||
\(328\) | 1.68206 | 0.000164906i | 0.0928762 | 9.10541e-6i | ||||||
\(329\) | −0.175292 | + | 1.49972i | −0.00966415 | + | 0.0826821i | ||||
\(330\) | 5.26570 | + | 11.9761i | 0.289867 | + | 0.659265i | ||||
\(331\) | 10.7703 | + | 21.4455i | 0.591990 | + | 1.17875i | 0.967722 | + | 0.252021i | \(0.0810953\pi\) |
−0.375731 | + | 0.926729i | \(0.622608\pi\) | |||||||
\(332\) | −11.1692 | + | 3.58205i | −0.612988 | + | 0.196591i | ||||
\(333\) | 15.6803 | + | 31.6521i | 0.859277 | + | 1.73453i | ||||
\(334\) | −0.205421 | − | 0.0793035i | −0.0112401 | − | 0.00433929i | ||||
\(335\) | −1.33746 | + | 3.10058i | −0.0730732 | + | 0.169403i | ||||
\(336\) | −2.06362 | + | 1.55919i | −0.112580 | + | 0.0850607i | ||||
\(337\) | 0.162370 | − | 0.0384824i | 0.00884486 | − | 0.00209627i | −0.226191 | − | 0.974083i | \(-0.572627\pi\) |
0.235036 | + | 0.971987i | \(0.424479\pi\) | |||||||
\(338\) | 4.86798 | − | 1.05464i | 0.264783 | − | 0.0573647i | ||||
\(339\) | −10.7149 | − | 17.4782i | −0.581954 | − | 0.949285i | ||||
\(340\) | 3.69665 | − | 7.73218i | 0.200479 | − | 0.419337i | ||||
\(341\) | 7.22589 | − | 1.27412i | 0.391304 | − | 0.0689975i | ||||
\(342\) | 8.68357 | + | 21.5890i | 0.469554 | + | 1.16740i | ||||
\(343\) | 5.09582 | + | 0.898531i | 0.275149 | + | 0.0485161i | ||||
\(344\) | 7.28590 | + | 0.850876i | 0.392830 | + | 0.0458761i | ||||
\(345\) | −1.16723 | + | 0.812561i | −0.0628416 | + | 0.0437468i | ||||
\(346\) | −28.7476 | − | 22.2796i | −1.54548 | − | 1.19776i | ||||
\(347\) | 18.3859 | + | 9.23373i | 0.987005 | + | 0.495693i | 0.867659 | − | 0.497160i | \(-0.165624\pi\) |
0.119347 | + | 0.992853i | \(0.461920\pi\) | |||||||
\(348\) | 4.02806 | + | 2.72122i | 0.215927 | + | 0.145873i | ||||
\(349\) | 15.9318 | + | 3.77590i | 0.852807 | + | 0.202119i | 0.633697 | − | 0.773581i | \(-0.281536\pi\) |
0.219110 | + | 0.975700i | \(0.429685\pi\) | |||||||
\(350\) | 0.0140063 | − | 0.723379i | 0.000748667 | − | 0.0386662i | ||||
\(351\) | 9.81876 | + | 12.6292i | 0.524087 | + | 0.674098i | ||||
\(352\) | 15.7844 | + | 1.53271i | 0.841312 | + | 0.0816938i | ||||
\(353\) | −12.2567 | + | 3.66940i | −0.652356 | + | 0.195303i | −0.595845 | − | 0.803099i | \(-0.703183\pi\) |
−0.0565111 | + | 0.998402i | \(0.517998\pi\) | |||||||
\(354\) | −6.88296 | + | 29.9746i | −0.365825 | + | 1.59313i | ||||
\(355\) | 12.2137 | + | 18.5701i | 0.648238 | + | 0.985598i | ||||
\(356\) | 25.8695 | − | 9.98991i | 1.37108 | − | 0.529464i | ||||
\(357\) | −0.372587 | − | 1.40586i | −0.0197194 | − | 0.0744062i | ||||
\(358\) | 1.19164 | − | 15.3377i | 0.0629801 | − | 0.810625i | ||||
\(359\) | −33.6581 | + | 12.2505i | −1.77641 | + | 0.646559i | −0.776542 | + | 0.630066i | \(0.783028\pi\) |
−0.999864 | + | 0.0164932i | \(0.994750\pi\) | |||||||
\(360\) | 16.1331 | + | 1.02653i | 0.850288 | + | 0.0541028i | ||||
\(361\) | 10.4144 | + | 3.79053i | 0.548126 | + | 0.199501i | ||||
\(362\) | −12.1891 | + | 26.8178i | −0.640646 | + | 1.40951i | ||||
\(363\) | 1.99462 | + | 5.06102i | 0.104691 | + | 0.265635i | ||||
\(364\) | 0.443120 | + | 2.25550i | 0.0232258 | + | 0.118221i | ||||
\(365\) | 19.5457 | − | 18.4404i | 1.02307 | − | 0.965216i | ||||
\(366\) | 8.09984 | − | 9.79134i | 0.423385 | − | 0.511801i | ||||
\(367\) | −1.77755 | + | 1.32334i | −0.0927874 | + | 0.0690776i | −0.642553 | − | 0.766242i | \(-0.722125\pi\) |
0.549765 | + | 0.835319i | \(0.314717\pi\) | |||||||
\(368\) | 0.167125 | + | 1.71587i | 0.00871201 | + | 0.0894460i | ||||
\(369\) | −1.78407 | − | 0.00974732i | −0.0928748 | − | 0.000507425i | ||||
\(370\) | 20.8582 | − | 23.9024i | 1.08436 | − | 1.24263i | ||||
\(371\) | 1.82811 | + | 1.20236i | 0.0949105 | + | 0.0624236i | ||||
\(372\) | 2.70748 | − | 8.65280i | 0.140376 | − | 0.448627i | ||||
\(373\) | −1.14227 | + | 1.53434i | −0.0591446 | + | 0.0794450i | −0.830711 | − | 0.556703i | \(-0.812066\pi\) |
0.771567 | + | 0.636148i | \(0.219473\pi\) | |||||||
\(374\) | −4.15575 | + | 7.89011i | −0.214888 | + | 0.407988i | ||||
\(375\) | −14.0176 | + | 15.6651i | −0.723867 | + | 0.808943i | ||||
\(376\) | −2.63931 | − | 11.1312i | −0.136112 | − | 0.574050i | ||||
\(377\) | 3.74139 | − | 2.16009i | 0.192691 | − | 0.111250i | ||||
\(378\) | 2.19797 | − | 1.64157i | 0.113051 | − | 0.0844333i | ||||
\(379\) | 7.93023 | + | 4.57852i | 0.407348 | + | 0.235183i | 0.689650 | − | 0.724143i | \(-0.257764\pi\) |
−0.282301 | + | 0.959326i | \(0.591098\pi\) | |||||||
\(380\) | 14.9192 | − | 14.6345i | 0.765338 | − | 0.750736i | ||||
\(381\) | −0.753527 | + | 23.6725i | −0.0386043 | + | 1.21278i | ||||
\(382\) | −0.459594 | − | 11.8338i | −0.0235149 | − | 0.605471i | ||||
\(383\) | 7.57810 | + | 17.5680i | 0.387223 | + | 0.897683i | 0.994649 | + | 0.103307i | \(0.0329426\pi\) |
−0.607427 | + | 0.794376i | \(0.707798\pi\) | |||||||
\(384\) | 10.6501 | − | 16.4492i | 0.543485 | − | 0.839419i | ||||
\(385\) | 0.115934 | − | 1.99051i | 0.00590854 | − | 0.101446i | ||||
\(386\) | −17.7098 | + | 6.06023i | −0.901405 | + | 0.308457i | ||||
\(387\) | −7.72273 | − | 0.945455i | −0.392568 | − | 0.0480602i | ||||
\(388\) | −29.6497 | − | 12.1110i | −1.50523 | − | 0.614841i | ||||
\(389\) | −1.91556 | − | 16.3887i | −0.0971230 | − | 0.830940i | −0.950729 | − | 0.310022i | \(-0.899664\pi\) |
0.853606 | − | 0.520918i | \(-0.174410\pi\) | |||||||
\(390\) | 7.09619 | − | 12.4920i | 0.359330 | − | 0.632558i | ||||
\(391\) | −0.928707 | − | 0.278037i | −0.0469668 | − | 0.0140609i | ||||
\(392\) | −19.1097 | + | 3.37148i | −0.965184 | + | 0.170286i | ||||
\(393\) | 31.2374 | − | 6.36109i | 1.57572 | − | 0.320875i | ||||
\(394\) | 2.37435 | + | 24.4022i | 0.119618 | + | 1.22937i | ||||
\(395\) | 21.6107 | − | 18.1335i | 1.08735 | − | 0.912395i | ||||
\(396\) | −16.7326 | − | 1.71877i | −0.840845 | − | 0.0863715i | ||||
\(397\) | −3.02478 | − | 2.53809i | −0.151809 | − | 0.127383i | 0.563720 | − | 0.825966i | \(-0.309370\pi\) |
−0.715529 | + | 0.698583i | \(0.753814\pi\) | |||||||
\(398\) | −13.6925 | + | 19.9655i | −0.686343 | + | 1.00078i | ||||
\(399\) | 0.318747 | − | 3.53214i | 0.0159573 | − | 0.176828i | ||||
\(400\) | 1.77528 | + | 5.18624i | 0.0887640 | + | 0.259312i | ||||
\(401\) | −13.9672 | + | 0.813498i | −0.697490 | + | 0.0406242i | −0.403226 | − | 0.915100i | \(-0.632111\pi\) |
−0.294263 | + | 0.955724i | \(0.595074\pi\) | |||||||
\(402\) | −2.61690 | − | 3.46423i | −0.130519 | − | 0.172780i | ||||
\(403\) | −5.86090 | − | 5.52947i | −0.291952 | − | 0.275443i | ||||
\(404\) | 5.13054 | + | 3.23319i | 0.255254 | + | 0.160857i | ||||
\(405\) | −17.1054 | − | 1.18395i | −0.849974 | − | 0.0588308i | ||||
\(406\) | −0.357942 | − | 0.648659i | −0.0177644 | − | 0.0321924i | ||||
\(407\) | −22.6520 | + | 24.0098i | −1.12282 | + | 1.19012i | ||||
\(408\) | 6.29654 | + | 9.04299i | 0.311725 | + | 0.447695i | ||||
\(409\) | −0.769240 | − | 13.2073i | −0.0380365 | − | 0.653061i | −0.962415 | − | 0.271584i | \(-0.912453\pi\) |
0.924378 | − | 0.381477i | \(-0.124585\pi\) | |||||||
\(410\) | 0.606032 | + | 1.48325i | 0.0299298 | + | 0.0732527i | ||||
\(411\) | −1.71040 | + | 2.42856i | −0.0843678 | + | 0.119792i | ||||
\(412\) | 24.5405 | + | 2.38538i | 1.20903 | + | 0.117519i | ||||
\(413\) | 3.01289 | − | 3.59062i | 0.148255 | − | 0.176683i | ||||
\(414\) | −0.167139 | − | 1.82091i | −0.00821443 | − | 0.0894931i | ||||
\(415\) | −7.18200 | − | 8.55918i | −0.352551 | − | 0.420154i | ||||
\(416\) | −9.00094 | − | 14.9090i | −0.441308 | − | 0.730973i | ||||
\(417\) | −8.82440 | + | 7.80996i | −0.432133 | + | 0.382455i | ||||
\(418\) | −16.1029 | + | 14.6135i | −0.787617 | + | 0.714771i | ||||
\(419\) | 8.44747 | − | 28.2165i | 0.412686 | − | 1.37847i | −0.459015 | − | 0.888429i | \(-0.651797\pi\) |
0.871701 | − | 0.490039i | \(-0.163017\pi\) | |||||||
\(420\) | −2.11829 | − | 1.25816i | −0.103362 | − | 0.0613921i | ||||
\(421\) | −11.8789 | + | 1.38845i | −0.578944 | + | 0.0676688i | −0.400525 | − | 0.916286i | \(-0.631172\pi\) |
−0.178419 | + | 0.983955i | \(0.557098\pi\) | |||||||
\(422\) | −5.84304 | − | 7.24375i | −0.284435 | − | 0.352620i | ||||
\(423\) | 2.73370 | + | 11.8219i | 0.132917 | + | 0.574798i | ||||
\(424\) | −16.1313 | − | 3.82152i | −0.783405 | − | 0.185589i | ||||
\(425\) | −3.07723 | − | 0.179228i | −0.149268 | − | 0.00869386i | ||||
\(426\) | −28.5166 | + | 1.86120i | −1.38163 | + | 0.0901755i | ||||
\(427\) | −1.77830 | + | 0.767084i | −0.0860580 | + | 0.0371218i | ||||
\(428\) | 2.49204 | − | 1.50418i | 0.120457 | − | 0.0727071i | ||||
\(429\) | −7.88255 | + | 12.7018i | −0.380573 | + | 0.613248i | ||||
\(430\) | 1.87408 | + | 6.73151i | 0.0903763 | + | 0.324622i | ||||
\(431\) | −14.0648 | + | 24.3609i | −0.677475 | + | 1.17342i | 0.298263 | + | 0.954484i | \(0.403593\pi\) |
−0.975739 | + | 0.218938i | \(0.929741\pi\) | |||||||
\(432\) | −11.3930 | + | 17.3839i | −0.548145 | + | 0.836383i | ||||
\(433\) | −15.3019 | − | 26.5036i | −0.735360 | − | 1.27368i | −0.954565 | − | 0.298003i | \(-0.903680\pi\) |
0.219205 | − | 0.975679i | \(-0.429654\pi\) | |||||||
\(434\) | −0.967525 | + | 0.986536i | −0.0464427 | + | 0.0473553i | ||||
\(435\) | −0.948765 | + | 4.53232i | −0.0454898 | + | 0.217308i | ||||
\(436\) | −0.357580 | − | 18.3748i | −0.0171250 | − | 0.879992i | ||||
\(437\) | −1.89616 | − | 1.41164i | −0.0907056 | − | 0.0675278i | ||||
\(438\) | 8.20269 | + | 33.5616i | 0.391940 | + | 1.60363i | ||||
\(439\) | 21.5151 | − | 32.7122i | 1.02686 | − | 1.56127i | 0.215686 | − | 0.976463i | \(-0.430801\pi\) |
0.811175 | − | 0.584804i | \(-0.198829\pi\) | |||||||
\(440\) | 4.33402 | + | 14.4715i | 0.206616 | + | 0.689900i | ||||
\(441\) | 20.2884 | − | 3.46322i | 0.966116 | − | 0.164915i | ||||
\(442\) | 9.67533 | − | 1.51352i | 0.460209 | − | 0.0719907i | ||||
\(443\) | −19.4866 | − | 26.1750i | −0.925836 | − | 1.24361i | −0.969631 | − | 0.244573i | \(-0.921352\pi\) |
0.0437953 | − | 0.999041i | \(-0.486055\pi\) | |||||||
\(444\) | 13.4753 | + | 38.4975i | 0.639511 | + | 1.82701i | ||||
\(445\) | 18.1279 | + | 19.2144i | 0.859343 | + | 0.910850i | ||||
\(446\) | 27.9884 | + | 8.97311i | 1.32529 | + | 0.424889i | ||||
\(447\) | 2.19986 | − | 14.7375i | 0.104050 | − | 0.697057i | ||||
\(448\) | −2.58613 | + | 1.49378i | −0.122183 | + | 0.0705746i | ||||
\(449\) | 9.92060 | − | 27.2566i | 0.468182 | − | 1.28632i | −0.451013 | − | 0.892517i | \(-0.648937\pi\) |
0.919195 | − | 0.393802i | \(-0.128841\pi\) | |||||||
\(450\) | −1.85235 | − | 5.51122i | −0.0873205 | − | 0.259802i | ||||
\(451\) | −0.570216 | − | 1.56666i | −0.0268504 | − | 0.0737709i | ||||
\(452\) | −9.79741 | − | 21.5501i | −0.460832 | − | 1.01363i | ||||
\(453\) | −15.5374 | − | 15.6226i | −0.730012 | − | 0.734012i | ||||
\(454\) | −3.12517 | − | 0.426756i | −0.146671 | − | 0.0200287i | ||||
\(455\) | −1.82939 | + | 1.20321i | −0.0857630 | + | 0.0564072i | ||||
\(456\) | 6.88604 | + | 25.9725i | 0.322468 | + | 1.21627i | ||||
\(457\) | 6.26302 | + | 20.9200i | 0.292972 | + | 0.978594i | 0.970095 | + | 0.242725i | \(0.0780412\pi\) |
−0.677123 | + | 0.735870i | \(0.736774\pi\) | |||||||
\(458\) | 11.1346 | − | 18.4513i | 0.520285 | − | 0.862172i | ||||
\(459\) | −6.62504 | − | 9.62853i | −0.309230 | − | 0.449421i | ||||
\(460\) | −1.45293 | + | 0.765445i | −0.0677432 | + | 0.0356890i | ||||
\(461\) | −0.443238 | + | 1.87017i | −0.0206437 | + | 0.0871024i | −0.982392 | − | 0.186834i | \(-0.940177\pi\) |
0.961748 | + | 0.273936i | \(0.0883256\pi\) | |||||||
\(462\) | 2.15164 | + | 1.39369i | 0.100104 | + | 0.0648402i | ||||
\(463\) | −14.1665 | + | 28.2079i | −0.658375 | + | 1.31093i | 0.278219 | + | 0.960518i | \(0.410256\pi\) |
−0.936595 | + | 0.350415i | \(0.886041\pi\) | |||||||
\(464\) | 4.22961 | + | 3.69019i | 0.196355 | + | 0.171313i | ||||
\(465\) | 8.60566 | − | 0.729215i | 0.399078 | − | 0.0338165i | ||||
\(466\) | −17.3728 | − | 36.3290i | −0.804777 | − | 1.68291i | ||||
\(467\) | −2.57652 | + | 14.6122i | −0.119227 | + | 0.676170i | 0.865343 | + | 0.501180i | \(0.167101\pi\) |
−0.984570 | + | 0.174990i | \(0.944011\pi\) | |||||||
\(468\) | 9.45885 | + | 15.8662i | 0.437235 | + | 0.733416i | ||||
\(469\) | 0.114900 | + | 0.651629i | 0.00530558 | + | 0.0300894i | ||||
\(470\) | 8.86532 | − | 6.33699i | 0.408927 | − | 0.292304i | ||||
\(471\) | −1.97433 | − | 1.07152i | −0.0909724 | − | 0.0493731i | ||||
\(472\) | −12.1427 | + | 33.3720i | −0.558914 | + | 1.53607i | ||||
\(473\) | −1.67672 | − | 7.07464i | −0.0770956 | − | 0.325292i | ||||
\(474\) | 6.54820 | + | 35.6752i | 0.300769 | + | 1.63861i | ||||
\(475\) | −6.90171 | − | 2.97711i | −0.316672 | − | 0.136599i | ||||
\(476\) | −0.227383 | − | 1.66393i | −0.0104221 | − | 0.0762661i | ||||
\(477\) | 17.0870 | + | 4.14842i | 0.782361 | + | 0.189943i | ||||
\(478\) | 0.166891 | − | 0.849926i | 0.00763343 | − | 0.0388747i | ||||
\(479\) | −15.1246 | + | 7.59587i | −0.691061 | + | 0.347064i | −0.759423 | − | 0.650597i | \(-0.774519\pi\) |
0.0683624 | + | 0.997661i | \(0.478223\pi\) | |||||||
\(480\) | 18.3418 | + | 3.46662i | 0.837186 | + | 0.158229i | ||||
\(481\) | 36.0039 | + | 4.20826i | 1.64164 | + | 0.191880i | ||||
\(482\) | 21.2502 | − | 13.3945i | 0.967922 | − | 0.610101i | ||||
\(483\) | −0.103600 | + | 0.258714i | −0.00471395 | + | 0.0117719i | ||||
\(484\) | 1.56725 | + | 6.08279i | 0.0712386 | + | 0.276490i | ||||
\(485\) | − | 30.5088i | − | 1.38533i | ||||||
\(486\) | 12.1864 | − | 18.3709i | 0.552788 | − | 0.833322i | ||||
\(487\) | − | 13.8195i | − | 0.626223i | −0.949716 | − | 0.313112i | \(-0.898629\pi\) | ||
0.949716 | − | 0.313112i | \(-0.101371\pi\) | |||||||
\(488\) | 10.6719 | − | 10.0704i | 0.483096 | − | 0.455867i | ||||
\(489\) | −9.84966 | + | 24.5970i | −0.445417 | + | 1.11232i | ||||
\(490\) | −9.85653 | − | 15.6373i | −0.445272 | − | 0.706422i | ||||
\(491\) | −25.3094 | − | 2.95824i | −1.14220 | − | 0.133504i | −0.476116 | − | 0.879383i | \(-0.657956\pi\) |
−0.666081 | + | 0.745879i | \(0.732030\pi\) | |||||||
\(492\) | −2.04305 | − | 0.264439i | −0.0921079 | − | 0.0119218i | ||||
\(493\) | −2.82063 | + | 1.41657i | −0.127035 | + | 0.0637993i | ||||
\(494\) | 23.4324 | + | 4.60117i | 1.05427 | + | 0.207017i | ||||
\(495\) | −4.51149 | − | 15.3746i | −0.202776 | − | 0.691039i | ||||
\(496\) | 4.33098 | − | 9.53124i | 0.194467 | − | 0.427965i | ||||
\(497\) | 3.99917 | + | 1.72507i | 0.179387 | + | 0.0773801i | ||||
\(498\) | 14.1296 | − | 2.59350i | 0.633163 | − | 0.116218i | ||||
\(499\) | −2.05615 | − | 8.67557i | −0.0920458 | − | 0.388372i | 0.907449 | − | 0.420163i | \(-0.138027\pi\) |
−0.999495 | + | 0.0317910i | \(0.989879\pi\) | |||||||
\(500\) | −18.2872 | + | 15.9613i | −0.817829 | + | 0.713812i | ||||
\(501\) | 0.237027 | + | 0.128641i | 0.0105896 | + | 0.00574725i | ||||
\(502\) | 11.1890 | + | 15.6532i | 0.499389 | + | 0.698635i | ||||
\(503\) | −1.14091 | − | 6.47045i | −0.0508708 | − | 0.288503i | 0.948750 | − | 0.316027i | \(-0.102349\pi\) |
−0.999621 | + | 0.0275238i | \(0.991238\pi\) | |||||||
\(504\) | 2.75178 | − | 1.56912i | 0.122574 | − | 0.0698939i | ||||
\(505\) | −1.00311 | + | 5.68894i | −0.0446380 | + | 0.253155i | ||||
\(506\) | 1.54156 | − | 0.737186i | 0.0685309 | − | 0.0327719i | ||||
\(507\) | −6.07856 | + | 0.515077i | −0.269958 | + | 0.0228754i | ||||
\(508\) | −4.22409 | + | 27.0203i | −0.187414 | + | 1.19883i | ||||
\(509\) | −10.9961 | + | 21.8950i | −0.487393 | + | 0.970479i | 0.506718 | + | 0.862112i | \(0.330858\pi\) |
−0.994111 | + | 0.108367i | \(0.965438\pi\) | |||||||
\(510\) | −5.70645 | + | 8.80989i | −0.252686 | + | 0.390109i | ||||
\(511\) | 1.21432 | − | 5.12363i | 0.0537185 | − | 0.226656i | ||||
\(512\) | 14.5395 | − | 17.3379i | 0.642562 | − | 0.766233i | ||||
\(513\) | −7.15042 | − | 27.5881i | −0.315699 | − | 1.21805i | ||||
\(514\) | 27.8778 | + | 16.8231i | 1.22964 | + | 0.742035i | ||||
\(515\) | 6.73610 | + | 22.5001i | 0.296828 | + | 0.991475i | ||||
\(516\) | −8.71557 | − | 2.17977i | −0.383682 | − | 0.0959589i | ||||
\(517\) | −9.47343 | + | 6.23078i | −0.416641 | + | 0.274029i | ||||
\(518\) | 0.841062 | − | 6.15916i | 0.0369541 | − | 0.270618i | ||||
\(519\) | 31.4115 | + | 31.5836i | 1.37881 | + | 1.38637i | ||||
\(520\) | 9.90520 | − | 13.3077i | 0.434372 | − | 0.583582i | ||||
\(521\) | −3.96973 | − | 10.9067i | −0.173917 | − | 0.477833i | 0.821855 | − | 0.569697i | \(-0.192940\pi\) |
−0.995772 | + | 0.0918645i | \(0.970717\pi\) | |||||||
\(522\) | −4.46434 | − | 3.93893i | −0.195399 | − | 0.172402i | ||||
\(523\) | 0.310538 | − | 0.853195i | 0.0135789 | − | 0.0373076i | −0.932718 | − | 0.360607i | \(-0.882570\pi\) |
0.946297 | + | 0.323299i | \(0.104792\pi\) | |||||||
\(524\) | 36.6993 | − | 2.85491i | 1.60322 | − | 0.124717i | ||||
\(525\) | −0.130822 | + | 0.876411i | −0.00570953 | + | 0.0382497i | ||||
\(526\) | −1.60512 | + | 5.00658i | −0.0699863 | + | 0.218297i | ||||
\(527\) | 4.03989 | + | 4.28203i | 0.175980 | + | 0.186528i | ||||
\(528\) | −18.9306 | − | 4.34500i | −0.823847 | − | 0.189092i | ||||
\(529\) | −13.6237 | − | 18.2998i | −0.592336 | − | 0.795645i | ||||
\(530\) | −2.44060 | − | 15.6018i | −0.106013 | − | 0.677699i | ||||
\(531\) | 13.0759 | − | 35.3242i | 0.567448 | − | 1.53294i | ||||
\(532\) | 0.866695 | − | 4.00237i | 0.0375760 | − | 0.173525i | ||||
\(533\) | −1.00607 | + | 1.52966i | −0.0435778 | + | 0.0662568i | ||||
\(534\) | −32.9927 | + | 8.06365i | −1.42773 | + | 0.348948i | ||||
\(535\) | 2.22410 | + | 1.65578i | 0.0961560 | + | 0.0715855i | ||||
\(536\) | −2.50702 | − | 4.34131i | −0.108287 | − | 0.187516i | ||||
\(537\) | −3.86046 | + | 18.4417i | −0.166591 | + | 0.795818i | ||||
\(538\) | 9.82930 | + | 9.63988i | 0.423771 | + | 0.415605i | ||||
\(539\) | 9.61669 | + | 16.6566i | 0.414220 | + | 0.717450i | ||||
\(540\) | −19.4337 | − | 3.78505i | −0.836293 | − | 0.162882i | ||||
\(541\) | −10.7229 | + | 18.5725i | −0.461012 | + | 0.798496i | −0.999012 | − | 0.0444493i | \(-0.985847\pi\) |
0.538000 | + | 0.842945i | \(0.319180\pi\) | |||||||
\(542\) | −16.4096 | + | 4.56852i | −0.704855 | + | 0.196235i | ||||
\(543\) | 19.0241 | − | 30.6551i | 0.816404 | − | 1.31554i | ||||
\(544\) | 5.93170 | + | 11.2566i | 0.254320 | + | 0.482623i | ||||
\(545\) | 16.0749 | − | 6.93402i | 0.688572 | − | 0.297021i | ||||
\(546\) | −0.183352 | − | 2.80925i | −0.00784674 | − | 0.120225i | ||||
\(547\) | 0.284241 | + | 0.0165551i | 0.0121533 | + | 0.000707847i | 0.0642204 | − | 0.997936i | \(-0.479544\pi\) |
−0.0520671 | + | 0.998644i | \(0.516581\pi\) | |||||||
\(548\) | −2.30478 | + | 2.54017i | −0.0984553 | + | 0.108511i | ||||
\(549\) | −11.3785 | + | 10.6182i | −0.485623 | + | 0.453173i | ||||
\(550\) | 4.22893 | − | 3.41119i | 0.180322 | − | 0.145454i | ||||
\(551\) | −7.64463 | + | 0.893529i | −0.325672 | + | 0.0380656i | ||||
\(552\) | 0.0669693 | − | 2.11039i | 0.00285040 | − | 0.0898240i | ||||
\(553\) | 1.58544 | − | 5.29574i | 0.0674197 | − | 0.225198i | ||||
\(554\) | −11.4095 | − | 12.5723i | −0.484743 | − | 0.534145i | ||||
\(555\) | −29.0948 | + | 25.7501i | −1.23501 | + | 1.09303i | ||||
\(556\) | −11.2210 | + | 7.69702i | −0.475875 | + | 0.326426i | ||||
\(557\) | −10.3565 | − | 12.3424i | −0.438818 | − | 0.522963i | 0.500627 | − | 0.865663i | \(-0.333103\pi\) |
−0.939445 | + | 0.342701i | \(0.888658\pi\) | |||||||
\(558\) | −4.64985 | + | 10.0837i | −0.196844 | + | 0.426877i | ||||
\(559\) | −5.13222 | + | 6.11634i | −0.217070 | + | 0.258693i | ||||
\(560\) | −2.24882 | − | 1.74250i | −0.0950301 | − | 0.0736340i | ||||
\(561\) | 6.28892 | − | 8.92948i | 0.265518 | − | 0.377003i | ||||
\(562\) | 21.9505 | − | 8.96861i | 0.925926 | − | 0.378318i | ||||
\(563\) | 2.28804 | + | 39.2842i | 0.0964295 | + | 1.65563i | 0.606195 | + | 0.795316i | \(0.292695\pi\) |
−0.509765 | + | 0.860314i | \(0.670268\pi\) | |||||||
\(564\) | 1.45441 | + | 13.9352i | 0.0612416 | + | 0.586779i | ||||
\(565\) | 15.4747 | − | 16.4022i | 0.651026 | − | 0.690048i | ||||
\(566\) | 6.20599 | − | 3.42458i | 0.260857 | − | 0.143946i | ||||
\(567\) | −2.92791 | + | 1.64804i | −0.122961 | + | 0.0692112i | ||||
\(568\) | −32.9426 | − | 1.91545i | −1.38224 | − | 0.0803703i | ||||
\(569\) | −20.3680 | − | 19.2162i | −0.853870 | − | 0.805585i | 0.128660 | − | 0.991689i | \(-0.458932\pi\) |
−0.982530 | + | 0.186104i | \(0.940414\pi\) | |||||||
\(570\) | −20.4233 | + | 15.4278i | −0.855436 | + | 0.646201i | ||||
\(571\) | −6.46793 | + | 0.376714i | −0.270674 | + | 0.0157650i | −0.192945 | − | 0.981210i | \(-0.561804\pi\) |
−0.0777291 | + | 0.996975i | \(0.524767\pi\) | |||||||
\(572\) | −10.8361 | + | 13.4365i | −0.453080 | + | 0.561807i | ||||
\(573\) | −1.30360 | + | 14.4456i | −0.0544588 | + | 0.603476i | ||||
\(574\) | 0.258931 | + | 0.177576i | 0.0108076 | + | 0.00741189i | ||||
\(575\) | 0.452462 | + | 0.379660i | 0.0188690 | + | 0.0158329i | ||||
\(576\) | −15.5235 | + | 18.3036i | −0.646814 | + | 0.762648i | ||||
\(577\) | −3.29978 | + | 2.76884i | −0.137372 | + | 0.115269i | −0.708884 | − | 0.705325i | \(-0.750801\pi\) |
0.571513 | + | 0.820593i | \(0.306357\pi\) | |||||||
\(578\) | 16.8074 | − | 1.63537i | 0.699096 | − | 0.0680225i | ||||
\(579\) | 22.4637 | − | 4.57444i | 0.933561 | − | 0.190107i | ||||
\(580\) | −1.73064 | + | 5.05908i | −0.0718611 | + | 0.210067i | ||||
\(581\) | −2.09744 | − | 0.627933i | −0.0870166 | − | 0.0260511i | ||||
\(582\) | 34.1070 | + | 19.3747i | 1.41378 | + | 0.803109i | ||||
\(583\) | 1.90756 | + | 16.3202i | 0.0790031 | + | 0.675915i | ||||
\(584\) | 4.63533 | + | 39.6241i | 0.191811 | + | 1.63966i | ||||
\(585\) | −10.5844 | + | 14.0563i | −0.437611 | + | 0.581157i | ||||
\(586\) | −4.37423 | − | 12.7828i | −0.180698 | − | 0.528053i | ||||
\(587\) | 1.65326 | − | 28.3855i | 0.0682375 | − | 1.17159i | −0.774251 | − | 0.632879i | \(-0.781873\pi\) |
0.842488 | − | 0.538715i | \(-0.181090\pi\) | |||||||
\(588\) | 23.7410 | − | 1.08845i | 0.979062 | − | 0.0448871i | ||||
\(589\) | 5.68578 | + | 13.1811i | 0.234279 | + | 0.543119i | ||||
\(590\) | −33.8028 | + | 1.31281i | −1.39164 | + | 0.0540474i | ||||
\(591\) | 0.955335 | − | 30.0124i | 0.0392972 | − | 1.23455i | ||||
\(592\) | 9.97676 | + | 46.0288i | 0.410042 | + | 1.89177i | ||||
\(593\) | 3.23496 | + | 1.86770i | 0.132844 | + | 0.0766974i | 0.564949 | − | 0.825126i | \(-0.308896\pi\) |
−0.432105 | + | 0.901823i | \(0.642229\pi\) | |||||||
\(594\) | 20.0530 | + | 4.72017i | 0.822783 | + | 0.193671i | ||||
\(595\) | 1.38542 | − | 0.799873i | 0.0567967 | − | 0.0327916i | ||||
\(596\) | 4.61306 | − | 16.5759i | 0.188958 | − | 0.678977i | ||||
\(597\) | 19.7721 | − | 22.0958i | 0.809217 | − | 0.904323i | ||||
\(598\) | −1.66028 | − | 0.874474i | −0.0678939 | − | 0.0357599i | ||||
\(599\) | −9.95206 | + | 13.3679i | −0.406630 | + | 0.546199i | −0.957516 | − | 0.288382i | \(-0.906883\pi\) |
0.550885 | + | 0.834581i | \(0.314290\pi\) | |||||||
\(600\) | −1.34030 | − | 6.57850i | −0.0547173 | − | 0.268566i | ||||
\(601\) | −27.6516 | − | 18.1867i | −1.12793 | − | 0.741852i | −0.158535 | − | 0.987353i | \(-0.550677\pi\) |
−0.969396 | + | 0.245501i | \(0.921048\pi\) | |||||||
\(602\) | 1.03165 | + | 0.900261i | 0.0420470 | + | 0.0366919i | ||||
\(603\) | 2.63345 | + | 4.61937i | 0.107242 | + | 0.188115i | ||||
\(604\) | −15.5872 | − | 20.1082i | −0.634233 | − | 0.818193i | ||||
\(605\) | −4.79953 | + | 3.57312i | −0.195129 | + | 0.145268i | ||||
\(606\) | −5.72286 | − | 4.73421i | −0.232475 | − | 0.192314i | ||||
\(607\) | 30.8296 | − | 29.0862i | 1.25133 | − | 1.18057i | 0.275682 | − | 0.961249i | \(-0.411096\pi\) |
0.975652 | − | 0.219324i | \(-0.0703851\pi\) | |||||||
\(608\) | 4.20389 | + | 30.7405i | 0.170490 | + | 1.24669i | ||||
\(609\) | 0.332702 | + | 0.844175i | 0.0134818 | + | 0.0342077i | ||||
\(610\) | 12.7246 | + | 5.78355i | 0.515205 | + | 0.234169i | ||||
\(611\) | 11.7009 | + | 4.25878i | 0.473368 | + | 0.172292i | ||||
\(612\) | −6.22502 | − | 11.9742i | −0.251632 | − | 0.484029i | ||||
\(613\) | −9.14796 | + | 3.32959i | −0.369483 | + | 0.134481i | −0.520087 | − | 0.854113i | \(-0.674100\pi\) |
0.150604 | + | 0.988594i | \(0.451878\pi\) | |||||||
\(614\) | −46.1940 | − | 3.58896i | −1.86424 | − | 0.144839i | ||||
\(615\) | −0.502724 | − | 1.89690i | −0.0202718 | − | 0.0764905i | ||||
\(616\) | 2.26781 | + | 1.90254i | 0.0913725 | + | 0.0766553i | ||||
\(617\) | −9.40375 | − | 14.2977i | −0.378581 | − | 0.575604i | 0.595063 | − | 0.803679i | \(-0.297127\pi\) |
−0.973643 | + | 0.228075i | \(0.926757\pi\) | |||||||
\(618\) | −29.4316 | − | 6.75826i | −1.18391 | − | 0.271857i | ||||
\(619\) | 28.5270 | − | 8.54042i | 1.14660 | − | 0.343269i | 0.343521 | − | 0.939145i | \(-0.388380\pi\) |
0.803076 | + | 0.595877i | \(0.203195\pi\) | |||||||
\(620\) | 9.96510 | + | 0.386039i | 0.400208 | + | 0.0155037i | ||||
\(621\) | −0.0834794 | + | 2.23797i | −0.00334991 | + | 0.0898068i | ||||
\(622\) | 42.1629 | + | 0.816371i | 1.69058 | + | 0.0327335i | ||||
\(623\) | 5.03679 | + | 1.19374i | 0.201795 | + | 0.0478262i | ||||
\(624\) | 8.58688 | + | 19.5245i | 0.343750 | + | 0.781607i | ||||
\(625\) | −14.5393 | − | 7.30191i | −0.581572 | − | 0.292076i | ||||
\(626\) | 16.6560 | − | 21.4914i | 0.665706 | − | 0.858968i | ||||
\(627\) | 21.8577 | − | 15.2161i | 0.872911 | − | 0.607672i | ||||
\(628\) | −2.11035 | − | 1.50818i | −0.0842122 | − | 0.0601830i | ||||
\(629\) | −26.0816 | − | 4.59888i | −1.03994 | − | 0.183369i | ||||
\(630\) | 2.37492 | + | 1.86143i | 0.0946191 | + | 0.0741613i | ||||
\(631\) | 30.5302 | − | 5.38330i | 1.21539 | − | 0.214306i | 0.471049 | − | 0.882107i | \(-0.343876\pi\) |
0.744339 | + | 0.667802i | \(0.232765\pi\) | |||||||
\(632\) | 2.43934 | + | 41.8112i | 0.0970317 | + | 1.66316i | ||||
\(633\) | 5.95728 | + | 9.71753i | 0.236781 | + | 0.386237i | ||||
\(634\) | −3.85610 | − | 17.7989i | −0.153145 | − | 0.706886i | ||||
\(635\) | −25.3492 | + | 6.00788i | −1.00595 | + | 0.238415i | ||||
\(636\) | 18.9918 | + | 7.17955i | 0.753074 | + | 0.284688i | ||||
\(637\) | 8.36574 | − | 19.3940i | 0.331463 | − | 0.768417i | ||||
\(638\) | 2.00369 | − | 5.19019i | 0.0793269 | − | 0.205482i | ||||
\(639\) | 34.9290 | + | 2.22593i | 1.38177 | + | 0.0880564i | ||||
\(640\) | 20.5265 | + | 6.57638i | 0.811382 | + | 0.259954i | ||||
\(641\) | 4.75375 | + | 9.46549i | 0.187762 | + | 0.373865i | 0.967743 | − | 0.251938i | \(-0.0810679\pi\) |
−0.779982 | + | 0.625803i | \(0.784772\pi\) | |||||||
\(642\) | −3.26348 | + | 1.43489i | −0.128799 | + | 0.0566308i | ||||
\(643\) | 0.952412 | − | 8.14841i | 0.0375595 | − | 0.321342i | −0.961377 | − | 0.275235i | \(-0.911244\pi\) |
0.998937 | − | 0.0461070i | \(-0.0146815\pi\) | |||||||
\(644\) | −0.155447 | + | 0.281764i | −0.00612546 | + | 0.0111031i | ||||
\(645\) | −1.21718 | − | 8.47093i | −0.0479265 | − | 0.333543i | ||||
\(646\) | −16.8955 | − | 4.35141i | −0.664744 | − | 0.171204i | ||||
\(647\) | 37.3300 | 1.46759 | 0.733797 | − | 0.679369i | \(-0.237747\pi\) | ||||
0.733797 | + | 0.679369i | \(0.237747\pi\) | |||||||
\(648\) | 16.5729 | − | 19.3220i | 0.651045 | − | 0.759039i | ||||
\(649\) | 35.1988 | 1.38167 | ||||||||
\(650\) | −5.77802 | − | 1.48812i | −0.226633 | − | 0.0583689i | ||||
\(651\) | 1.33037 | − | 1.04602i | 0.0521411 | − | 0.0409969i | ||||
\(652\) | −14.7790 | + | 26.7885i | −0.578789 | + | 1.04912i | ||||
\(653\) | −1.33461 | + | 11.4183i | −0.0522273 | + | 0.446833i | 0.941671 | + | 0.336534i | \(0.109255\pi\) |
−0.993898 | + | 0.110299i | \(0.964819\pi\) | |||||||
\(654\) | −2.45660 | + | 22.3742i | −0.0960607 | + | 0.874901i | ||||
\(655\) | 15.7369 | + | 31.3347i | 0.614890 | + | 1.22435i | ||||
\(656\) | −2.30368 | − | 0.593067i | −0.0899434 | − | 0.0231554i | ||||
\(657\) | −4.68269 | − | 42.0544i | −0.182689 | − | 1.64070i | ||||
\(658\) | 0.769043 | − | 1.99207i | 0.0299804 | − | 0.0776588i | ||||
\(659\) | 4.00550 | − | 9.28578i | 0.156032 | − | 0.361723i | −0.822212 | − | 0.569182i | \(-0.807260\pi\) |
0.978244 | + | 0.207459i | \(0.0665193\pi\) | |||||||
\(660\) | −2.98728 | − | 18.2589i | −0.116280 | − | 0.710726i | ||||
\(661\) | −2.93364 | + | 0.695286i | −0.114105 | + | 0.0270435i | −0.287272 | − | 0.957849i | \(-0.592748\pi\) |
0.173166 | + | 0.984893i | \(0.444600\pi\) | |||||||
\(662\) | −7.18598 | − | 33.1689i | −0.279291 | − | 1.28915i | ||||
\(663\) | −11.9898 | + | 0.316088i | −0.465644 | + | 0.0122758i | ||||
\(664\) | 16.5599 | − | 0.966132i | 0.642648 | − | 0.0374932i | ||||
\(665\) | 3.84166 | − | 0.677388i | 0.148973 | − | 0.0262680i | ||||
\(666\) | −10.3103 | − | 48.8790i | −0.399515 | − | 1.89402i | ||||
\(667\) | 0.595622 | + | 0.105024i | 0.0230626 | + | 0.00406656i | ||||
\(668\) | 0.253357 | + | 0.181064i | 0.00980268 | + | 0.00700556i | ||||
\(669\) | −32.5829 | − | 15.3022i | −1.25973 | − | 0.591616i | ||||
\(670\) | 2.92531 | − | 3.77456i | 0.113015 | − | 0.145824i | ||||
\(671\) | −12.9966 | − | 6.52716i | −0.501730 | − | 0.251978i | ||||
\(672\) | 3.37613 | − | 1.40747i | 0.130237 | − | 0.0542941i | ||||
\(673\) | 11.6884 | + | 2.77020i | 0.450555 | + | 0.106784i | 0.449628 | − | 0.893216i | \(-0.351557\pi\) |
0.000927386 | 1.00000i | \(0.499705\pi\) | ||||||||
\(674\) | −0.235943 | − | 0.00456839i | −0.00908818 | − | 0.000175968i | ||||
\(675\) | 1.38277 | + | 6.98535i | 0.0532229 | + | 0.268866i | ||||
\(676\) | −7.03879 | − | 0.272676i | −0.270723 | − | 0.0104876i | ||||
\(677\) | −45.7315 | + | 13.6911i | −1.75760 | + | 0.526192i | −0.992980 | − | 0.118285i | \(-0.962260\pi\) |
−0.764624 | + | 0.644477i | \(0.777075\pi\) | |||||||
\(678\) | 8.50942 | + | 27.7161i | 0.326802 | + | 1.06443i | ||||
\(679\) | −3.28512 | − | 4.99478i | −0.126071 | − | 0.191682i | ||||
\(680\) | −7.78992 | + | 9.28552i | −0.298730 | + | 0.356083i | ||||
\(681\) | 3.72868 | + | 1.01002i | 0.142883 | + | 0.0387041i | ||||
\(682\) | −10.3454 | − | 0.803770i | −0.396147 | − | 0.0307779i | ||||
\(683\) | 39.6109 | − | 14.4172i | 1.51567 | − | 0.551659i | 0.555608 | − | 0.831445i | \(-0.312486\pi\) |
0.960062 | + | 0.279786i | \(0.0902634\pi\) | |||||||
\(684\) | −4.27750 | − | 32.6295i | −0.163554 | − | 1.24762i | ||||
\(685\) | −3.07023 | − | 1.11747i | −0.117307 | − | 0.0426964i | ||||
\(686\) | −6.66191 | − | 3.02795i | −0.254353 | − | 0.115608i | ||||
\(687\) | −16.4270 | + | 20.6591i | −0.626729 | + | 0.788192i | ||||
\(688\) | −9.67808 | − | 3.73516i | −0.368973 | − | 0.142402i | ||||
\(689\) | 13.1249 | − | 12.3827i | 0.500019 | − | 0.471744i | ||||
\(690\) | 1.88515 | − | 0.701116i | 0.0717666 | − | 0.0266910i | ||||
\(691\) | −29.8944 | + | 22.2555i | −1.13724 | + | 0.846640i | −0.989805 | − | 0.142432i | \(-0.954508\pi\) |
−0.147431 | + | 0.989072i | \(0.547100\pi\) | |||||||
\(692\) | 31.5121 | + | 40.6522i | 1.19791 | + | 1.54537i | ||||
\(693\) | −2.39411 | − | 2.03129i | −0.0909447 | − | 0.0771623i | ||||
\(694\) | −21.9229 | − | 19.1308i | −0.832184 | − | 0.726196i | ||||
\(695\) | −10.8294 | − | 7.12262i | −0.410783 | − | 0.270176i | ||||
\(696\) | −4.55669 | − | 5.14755i | −0.172721 | − | 0.195117i | ||||
\(697\) | 0.798784 | − | 1.07295i | 0.0302561 | − | 0.0406410i | ||||
\(698\) | −20.4871 | − | 10.7906i | −0.775447 | − | 0.408430i | ||||
\(699\) | 15.3852 | + | 46.8584i | 0.581923 | + | 1.77235i | ||||
\(700\) | −0.274331 | + | 0.985743i | −0.0103687 | + | 0.0372576i | ||||
\(701\) | −5.80815 | + | 3.35334i | −0.219371 | + | 0.126654i | −0.605659 | − | 0.795724i | \(-0.707090\pi\) |
0.386288 | + | 0.922378i | \(0.373757\pi\) | |||||||
\(702\) | −8.99245 | − | 20.7592i | −0.339398 | − | 0.783507i | ||||
\(703\) | −55.9279 | − | 32.2900i | −2.10936 | − | 1.21784i | ||||
\(704\) | −21.0765 | − | 7.66653i | −0.794350 | − | 0.288943i | ||||
\(705\) | −11.7648 | + | 6.30210i | −0.443088 | + | 0.237351i | ||||
\(706\) | 18.0800 | − | 0.702179i | 0.680451 | − | 0.0264269i | ||||
\(707\) | 0.448347 | + | 1.03939i | 0.0168618 | + | 0.0390901i | ||||
\(708\) | 19.9990 | − | 38.6231i | 0.751607 | − | 1.45155i | ||||
\(709\) | 0.773318 | − | 13.2774i | 0.0290426 | − | 0.498642i | −0.952153 | − | 0.305623i | \(-0.901135\pi\) |
0.981195 | − | 0.193018i | \(-0.0618277\pi\) | |||||||
\(710\) | −10.1770 | − | 29.7401i | −0.381935 | − | 1.11613i | ||||
\(711\) | −2.34063 | − | 44.3612i | −0.0877806 | − | 1.66368i | ||||
\(712\) | −38.9524 | + | 4.55676i | −1.45980 | + | 0.170772i | ||||
\(713\) | −0.130957 | − | 1.12041i | −0.00490439 | − | 0.0419597i | ||||
\(714\) | 0.0143920 | + | 2.05678i | 0.000538605 | + | 0.0769731i | ||||
\(715\) | −15.7521 | − | 4.71586i | −0.589094 | − | 0.176363i | ||||
\(716\) | −7.04188 | + | 20.5851i | −0.263167 | + | 0.769300i | ||||
\(717\) | −0.336425 | + | 1.00606i | −0.0125640 | + | 0.0375721i | ||||
\(718\) | 50.4165 | − | 4.90556i | 1.88153 | − | 0.183074i | ||||
\(719\) | 7.54949 | − | 6.33478i | 0.281549 | − | 0.236247i | −0.491066 | − | 0.871122i | \(-0.663393\pi\) |
0.772615 | + | 0.634875i | \(0.218948\pi\) | |||||||
\(720\) | −21.7325 | − | 7.09628i | −0.809923 | − | 0.264463i | ||||
\(721\) | 3.52557 | + | 2.95831i | 0.131299 | + | 0.110173i | ||||
\(722\) | −12.9257 | − | 8.86456i | −0.481046 | − | 0.329905i | ||||
\(723\) | −27.9178 | + | 12.9256i | −1.03828 | + | 0.480707i | ||||
\(724\) | 26.1524 | − | 32.4282i | 0.971946 | − | 1.20518i | ||||
\(725\) | 1.91983 | − | 0.111817i | 0.0713005 | − | 0.00415278i | ||||
\(726\) | −0.946567 | − | 7.63471i | −0.0351304 | − | 0.283351i | ||||
\(727\) | 6.32877 | + | 5.97089i | 0.234721 | + | 0.221448i | 0.794611 | − | 0.607119i | \(-0.207675\pi\) |
−0.559890 | + | 0.828567i | \(0.689156\pi\) | |||||||
\(728\) | 0.188696 | − | 3.24526i | 0.00699352 | − | 0.120277i | ||||
\(729\) | −17.6919 | + | 20.3960i | −0.655257 | + | 0.755406i | ||||
\(730\) | −33.2725 | + | 18.3604i | −1.23147 | + | 0.679550i | ||||
\(731\) | 4.00313 | − | 4.24307i | 0.148061 | − | 0.156936i | ||||
\(732\) | −14.5465 | + | 10.5525i | −0.537654 | + | 0.390031i | ||||
\(733\) | −0.463491 | − | 7.95784i | −0.0171194 | − | 0.293929i | −0.995991 | − | 0.0894534i | \(-0.971488\pi\) |
0.978872 | − | 0.204476i | \(-0.0655491\pi\) | |||||||
\(734\) | 2.90116 | − | 1.18536i | 0.107084 | − | 0.0437526i | ||||
\(735\) | 9.51148 | + | 20.5438i | 0.350836 | + | 0.757768i | ||||
\(736\) | 0.376337 | − | 2.40887i | 0.0138720 | − | 0.0887922i | ||||
\(737\) | −3.19395 | + | 3.80640i | −0.117651 | + | 0.140211i | ||||
\(738\) | 2.43988 | + | 0.642622i | 0.0898132 | + | 0.0236553i | ||||
\(739\) | −5.89189 | − | 7.02168i | −0.216737 | − | 0.258297i | 0.646711 | − | 0.762735i | \(-0.276144\pi\) |
−0.863448 | + | 0.504438i | \(0.831700\pi\) | |||||||
\(740\) | −36.9965 | + | 25.3778i | −1.36002 | + | 0.932905i | ||||
\(741\) | −27.7370 | − | 9.27520i | −1.01894 | − | 0.340733i | ||||
\(742\) | −2.07953 | − | 2.29147i | −0.0763421 | − | 0.0841225i | ||||
\(743\) | 8.22042 | − | 27.4581i | 0.301578 | − | 1.00734i | −0.664110 | − | 0.747635i | \(-0.731189\pi\) |
0.965688 | − | 0.259706i | \(-0.0836255\pi\) | |||||||
\(744\) | −6.75995 | + | 10.8952i | −0.247832 | + | 0.399438i | ||||
\(745\) | 16.2790 | − | 1.90275i | 0.596418 | − | 0.0697113i | ||||
\(746\) | 2.10555 | − | 1.69841i | 0.0770898 | − | 0.0621831i | ||||
\(747\) | −17.5698 | + | 0.927037i | −0.642846 | + | 0.0339185i | ||||
\(748\) | 8.47437 | − | 9.33987i | 0.309854 | − | 0.341500i | ||||
\(749\) | 0.542411 | + | 0.0315918i | 0.0198193 | + | 0.00115434i | ||||
\(750\) | 24.7228 | − | 16.5094i | 0.902750 | − | 0.602839i | ||||
\(751\) | 7.56823 | − | 3.26462i | 0.276169 | − | 0.119128i | −0.253491 | − | 0.967338i | \(-0.581579\pi\) |
0.529660 | + | 0.848210i | \(0.322320\pi\) | |||||||
\(752\) | −0.311607 | + | 16.1754i | −0.0113631 | + | 0.589857i | ||||
\(753\) | −11.1274 | − | 20.7727i | −0.405505 | − | 0.756998i | ||||
\(754\) | −5.88581 | + | 1.63864i | −0.214349 | + | 0.0596756i | ||||
\(755\) | 12.1177 | − | 20.9885i | 0.441010 | − | 0.763851i | ||||
\(756\) | −3.58917 | + | 1.47290i | −0.130537 | + | 0.0535690i | ||||
\(757\) | −13.0100 | − | 22.5340i | −0.472856 | − | 0.819011i | 0.526661 | − | 0.850075i | \(-0.323444\pi\) |
−0.999517 | + | 0.0310640i | \(0.990110\pi\) | |||||||
\(758\) | −9.24569 | − | 9.06752i | −0.335819 | − | 0.329347i | ||||
\(759\) | −1.98836 | + | 0.652849i | −0.0721730 | + | 0.0236969i | ||||
\(760\) | −25.5940 | + | 14.7801i | −0.928392 | + | 0.536129i | ||||
\(761\) | 12.8234 | + | 9.54667i | 0.464848 | + | 0.346066i | 0.803964 | − | 0.594678i | \(-0.202721\pi\) |
−0.339116 | + | 0.940745i | \(0.610128\pi\) | |||||||
\(762\) | 9.38169 | − | 32.1542i | 0.339863 | − | 1.16482i | ||||
\(763\) | 1.88508 | − | 2.86612i | 0.0682443 | − | 0.103760i | ||||
\(764\) | −3.54458 | + | 16.3688i | −0.128239 | + | 0.592202i | ||||
\(765\) | 8.31711 | − | 9.80268i | 0.300706 | − | 0.354416i | ||||
\(766\) | −4.18181 | − | 26.7327i | −0.151095 | − | 0.965892i | ||||
\(767\) | −23.0825 | − | 31.0052i | −0.833462 | − | 1.11953i | ||||
\(768\) | −20.3875 | + | 18.7710i | −0.735669 | + | 0.677341i | ||||
\(769\) | −1.80556 | − | 1.91378i | −0.0651100 | − | 0.0690125i | 0.694000 | − | 0.719975i | \(-0.255847\pi\) |
−0.759110 | + | 0.650963i | \(0.774365\pi\) | |||||||
\(770\) | −0.860863 | + | 2.68515i | −0.0310233 | + | 0.0967662i | ||||
\(771\) | −31.2135 | − | 24.8193i | −1.12413 | − | 0.893846i | ||||
\(772\) | 26.3915 | − | 2.05305i | 0.949851 | − | 0.0738907i | ||||
\(773\) | −7.18669 | + | 19.7453i | −0.258487 | + | 0.710188i | 0.740774 | + | 0.671755i | \(0.234459\pi\) |
−0.999261 | + | 0.0384336i | \(0.987763\pi\) | |||||||
\(774\) | 10.2430 | + | 4.01877i | 0.368176 | + | 0.144452i | ||||
\(775\) | −1.22674 | − | 3.37045i | −0.0440659 | − | 0.121070i | ||||
\(776\) | 36.3341 | + | 27.0442i | 1.30432 | + | 0.970830i | ||||
\(777\) | −1.99058 | + | 7.34858i | −0.0714116 | + | 0.263629i | ||||
\(778\) | −3.15719 | + | 23.1203i | −0.113191 | + | 0.828904i | ||||
\(779\) | 2.72518 | − | 1.79238i | 0.0976397 | − | 0.0642187i | ||||
\(780\) | −14.1245 | + | 14.6051i | −0.505740 | + | 0.522948i | ||||
\(781\) | 9.38038 | + | 31.3327i | 0.335657 | + | 1.12117i | ||||
\(782\) | 1.17382 | + | 0.708349i | 0.0419756 | + | 0.0253305i | ||||
\(783\) | 4.80266 | + | 5.48659i | 0.171633 | + | 0.196075i | ||||
\(784\) | 27.3603 | + | 2.12301i | 0.977153 | + | 0.0758219i | ||||
\(785\) | 0.569819 | − | 2.40425i | 0.0203377 | − | 0.0858115i | ||||
\(786\) | −45.0240 | − | 2.30636i | −1.60595 | − | 0.0822653i | ||||
\(787\) | −3.32982 | + | 6.63022i | −0.118695 | + | 0.236342i | −0.945133 | − | 0.326687i | \(-0.894068\pi\) |
0.826437 | + | 0.563029i | \(0.190364\pi\) | |||||||
\(788\) | 5.35538 | − | 34.2568i | 0.190777 | − | 1.22035i | ||||
\(789\) | 2.73726 | − | 5.82845i | 0.0974490 | − | 0.207498i | ||||
\(790\) | −35.9923 | + | 17.2117i | −1.28055 | + | 0.612366i | ||||
\(791\) | 0.767304 | − | 4.35160i | 0.0272822 | − | 0.154725i | ||||
\(792\) | 22.3094 | + | 8.25579i | 0.792731 | + | 0.293357i | ||||
\(793\) | 2.77337 | + | 15.7286i | 0.0984854 | + | 0.558538i | ||||
\(794\) | 3.24727 | + | 4.54286i | 0.115241 | + | 0.161220i | ||||
\(795\) | 0.509703 | + | 19.3339i | 0.0180773 | + | 0.685703i | ||||
\(796\) | 25.7944 | − | 22.5137i | 0.914258 | − | 0.797975i | ||||
\(797\) | 9.84066 | + | 41.5210i | 0.348574 | + | 1.47075i | 0.811500 | + | 0.584353i | \(0.198651\pi\) |
−0.462926 | + | 0.886397i | \(0.653200\pi\) | |||||||
\(798\) | −1.68238 | + | 4.72492i | −0.0595557 | + | 0.167260i | ||||
\(799\) | −8.35341 | − | 3.60331i | −0.295523 | − | 0.127476i | ||||
\(800\) | −0.602003 | − | 7.72884i | −0.0212840 | − | 0.273256i | ||||
\(801\) | 41.3415 | − | 4.60332i | 1.46073 | − | 0.162650i | ||||
\(802\) | 19.4153 | + | 3.81239i | 0.685580 | + | 0.134620i | ||||
\(803\) | 35.3359 | − | 17.7463i | 1.24698 | − | 0.626255i | ||||
\(804\) | 2.36200 | + | 5.66737i | 0.0833014 | + | 0.199873i | ||||
\(805\) | −0.304464 | − | 0.0355868i | −0.0107310 | − | 0.00125427i | ||||
\(806\) | 6.07628 | + | 9.63997i | 0.214028 | + | 0.339554i | ||||
\(807\) | −10.4220 | − | 13.2550i | −0.366872 | − | 0.466599i | ||||
\(808\) | −5.88598 | − | 6.23755i | −0.207068 | − | 0.219436i | ||||
\(809\) | 42.2502i | 1.48544i | 0.669602 | + | 0.742720i | \(0.266465\pi\) | ||||
−0.669602 | + | 0.742720i | \(0.733535\pi\) | |||||||
\(810\) | 23.0086 | + | 7.65483i | 0.808440 | + | 0.268963i | ||||
\(811\) | − | 2.07354i | − | 0.0728120i | −0.999337 | − | 0.0364060i | \(-0.988409\pi\) | ||
0.999337 | − | 0.0364060i | \(-0.0115910\pi\) | |||||||
\(812\) | 0.261416 | + | 1.01461i | 0.00917391 | + | 0.0356057i | ||||
\(813\) | 20.6499 | − | 2.96717i | 0.724223 | − | 0.104063i | ||||
\(814\) | 39.4911 | − | 24.8921i | 1.38416 | − | 0.872468i | ||||
\(815\) | −28.9467 | − | 3.38338i | −1.01396 | − | 0.118515i | ||||
\(816\) | −5.43362 | − | 14.6055i | −0.190215 | − | 0.511294i | ||||
\(817\) | 12.7115 | − | 6.38397i | 0.444720 | − | 0.223347i | ||||
\(818\) | −3.60498 | + | 18.3591i | −0.126045 | + | 0.641910i | ||||
\(819\) | −0.219282 | + | 3.44095i | −0.00766234 | + | 0.120237i | ||||
\(820\) | −0.306804 | − | 2.24511i | −0.0107141 | − | 0.0784025i | ||||
\(821\) | 29.9836 | + | 12.9337i | 1.04644 | + | 0.451388i | 0.848704 | − | 0.528868i | \(-0.177383\pi\) |
0.197732 | + | 0.980256i | \(0.436643\pi\) | |||||||
\(822\) | 3.19903 | − | 2.72267i | 0.111579 | − | 0.0949641i | ||||
\(823\) | −6.85481 | − | 28.9227i | −0.238944 | − | 1.00818i | −0.951763 | − | 0.306835i | \(-0.900730\pi\) |
0.712819 | − | 0.701348i | \(-0.247418\pi\) | |||||||
\(824\) | −32.7674 | − | 11.9227i | −1.14151 | − | 0.415348i | ||||
\(825\) | −5.67314 | + | 3.47789i | −0.197513 | + | 0.121084i | ||||
\(826\) | −5.39270 | + | 3.85473i | −0.187636 | + | 0.134123i | ||||
\(827\) | −5.18428 | − | 29.4015i | −0.180275 | − | 1.02239i | −0.931877 | − | 0.362774i | \(-0.881830\pi\) |
0.751602 | − | 0.659617i | \(-0.229281\pi\) | |||||||
\(828\) | −0.413370 | + | 2.55273i | −0.0143656 | + | 0.0887137i | ||||
\(829\) | 1.69704 | − | 9.62439i | 0.0589406 | − | 0.334269i | −0.941051 | − | 0.338264i | \(-0.890160\pi\) |
0.999992 | + | 0.00399471i | \(0.00127156\pi\) | |||||||
\(830\) | 6.81693 | + | 14.2552i | 0.236619 | + | 0.494805i | ||||
\(831\) | 11.8799 | + | 17.0653i | 0.412110 | + | 0.591990i | ||||
\(832\) | 7.06832 | + | 23.5930i | 0.245050 | + | 0.817939i | ||||
\(833\) | −6.92563 | + | 13.7901i | −0.239959 | + | 0.477797i | ||||
\(834\) | 14.8399 | − | 7.58338i | 0.513865 | − | 0.262591i | ||||
\(835\) | −0.0684093 | + | 0.288641i | −0.00236740 | + | 0.00998885i | ||||
\(836\) | 27.2077 | − | 14.3338i | 0.940997 | − | 0.495744i | ||||
\(837\) | 7.23417 | − | 11.5161i | 0.250049 | − | 0.398054i | ||||
\(838\) | −21.5215 | + | 35.6636i | −0.743447 | + | 1.23198i | ||||
\(839\) | 4.90502 | + | 16.3839i | 0.169340 | + | 0.565635i | 0.999961 | + | 0.00879726i | \(0.00280029\pi\) |
−0.830621 | + | 0.556838i | \(0.812015\pi\) | |||||||
\(840\) | 2.45726 | + | 2.47024i | 0.0847837 | + | 0.0852315i | ||||
\(841\) | −22.5839 | + | 14.8537i | −0.778755 | + | 0.512196i | ||||
\(842\) | 16.7582 | + | 2.28841i | 0.577525 | + | 0.0788637i | ||||
\(843\) | −28.0721 | + | 7.43976i | −0.966853 | + | 0.256239i | ||||
\(844\) | 5.44717 | + | 11.9814i | 0.187499 | + | 0.412417i | ||||
\(845\) | −2.29495 | − | 6.30533i | −0.0789488 | − | 0.216910i | ||||
\(846\) | 0.425920 | − | 17.1545i | 0.0146434 | − | 0.589784i | ||||
\(847\) | −0.401015 | + | 1.10178i | −0.0137791 | + | 0.0378576i | ||||
\(848\) | 20.7442 | + | 10.9235i | 0.712360 | + | 0.375113i | ||||
\(849\) | −8.07657 | + | 3.18310i | −0.277187 | + | 0.109244i | ||||
\(850\) | 4.15112 | + | 1.33085i | 0.142382 | + | 0.0456479i | ||||
\(851\) | 3.48250 | + | 3.69123i | 0.119379 | + | 0.126534i | ||||
\(852\) | 39.7106 | + | 7.50937i | 1.36046 | + | 0.257267i | ||||
\(853\) | −21.3730 | − | 28.7089i | −0.731796 | − | 0.982973i | −0.999809 | − | 0.0195573i | \(-0.993774\pi\) |
0.268013 | − | 0.963415i | \(-0.413633\pi\) | |||||||
\(854\) | 2.70599 | − | 0.423299i | 0.0925969 | − | 0.0144850i | ||||
\(855\) | 27.2333 | − | 15.5254i | 0.931359 | − | 0.530957i | ||||
\(856\) | −3.94346 | + | 1.18101i | −0.134785 | + | 0.0403662i | ||||
\(857\) | −3.33728 | + | 5.07408i | −0.113999 | + | 0.173327i | −0.887981 | − | 0.459881i | \(-0.847892\pi\) |
0.773981 | + | 0.633208i | \(0.218262\pi\) | |||||||
\(858\) | 15.2755 | − | 14.6150i | 0.521496 | − | 0.498949i | ||||
\(859\) | 17.8824 | + | 13.3130i | 0.610140 | + | 0.454233i | 0.857353 | − | 0.514728i | \(-0.172107\pi\) |
−0.247213 | + | 0.968961i | \(0.579515\pi\) | |||||||
\(860\) | −0.192268 | − | 9.87998i | −0.00655628 | − | 0.336904i | ||||
\(861\) | −0.286558 | − | 0.256422i | −0.00976589 | − | 0.00873882i | ||||
\(862\) | 27.8545 | − | 28.4018i | 0.948728 | − | 0.967371i | ||||
\(863\) | 7.99731 | + | 13.8517i | 0.272232 | + | 0.471519i | 0.969433 | − | 0.245356i | \(-0.0789050\pi\) |
−0.697201 | + | 0.716875i | \(0.745572\pi\) | |||||||
\(864\) | 21.7346 | − | 19.7891i | 0.739424 | − | 0.673240i | ||||
\(865\) | −24.4981 | + | 42.4319i | −0.832959 | + | 1.44273i | ||||
\(866\) | 11.6079 | + | 41.6945i | 0.394453 | + | 1.41684i | ||||
\(867\) | −20.6715 | − | 0.658001i | −0.702041 | − | 0.0223469i | ||||
\(868\) | 1.67302 | − | 1.00982i | 0.0567858 | − | 0.0342755i | ||||
\(869\) | 38.1173 | − | 16.4422i | 1.29304 | − | 0.557763i | ||||
\(870\) | 2.89799 | − | 5.87246i | 0.0982509 | − | 0.199095i | ||||
\(871\) | 5.44743 | + | 0.317277i | 0.184579 | + | 0.0107505i | ||||
\(872\) | −5.99141 | + | 25.2908i | −0.202895 | + | 0.856454i | ||||
\(873\) | −38.3780 | − | 28.8986i | −1.29890 | − | 0.978069i | ||||
\(874\) | 2.09892 | + | 2.60208i | 0.0709971 | + | 0.0880167i | ||||
\(875\) | −4.50018 | + | 0.525995i | −0.152134 | + | 0.0177819i | ||||
\(876\) | 0.604028 | − | 48.8566i | 0.0204082 | − | 1.65071i | ||||
\(877\) | 3.33487 | − | 11.1392i | 0.112610 | − | 0.376145i | −0.883042 | − | 0.469295i | \(-0.844508\pi\) |
0.995652 | + | 0.0931494i | \(0.0296934\pi\) | |||||||
\(878\) | −41.0036 | + | 37.2112i | −1.38381 | + | 1.25582i | ||||
\(879\) | 3.30180 | + | 16.2142i | 0.111367 | + | 0.546890i | ||||
\(880\) | −0.831182 | − | 21.3477i | −0.0280191 | − | 0.719630i | ||||
\(881\) | 19.6327 | + | 23.3973i | 0.661442 | + | 0.788276i | 0.987592 | − | 0.157042i | \(-0.0501958\pi\) |
−0.326150 | + | 0.945318i | \(0.605751\pi\) | |||||||
\(882\) | −29.0070 | − | 2.41315i | −0.976716 | − | 0.0812551i | ||||
\(883\) | −25.9845 | + | 30.9671i | −0.874449 | + | 1.04213i | 0.124306 | + | 0.992244i | \(0.460329\pi\) |
−0.998755 | + | 0.0498834i | \(0.984115\pi\) | |||||||
\(884\) | −13.7844 | − | 1.33987i | −0.463620 | − | 0.0450647i | ||||
\(885\) | 41.2633 | + | 3.72368i | 1.38705 | + | 0.125170i | ||||
\(886\) | 17.4549 | + | 42.7205i | 0.586409 | + | 1.43522i | ||||
\(887\) | 0.973407 | + | 16.7128i | 0.0326838 | + | 0.561159i | 0.974410 | + | 0.224779i | \(0.0721659\pi\) |
−0.941726 | + | 0.336381i | \(0.890797\pi\) | |||||||
\(888\) | −4.87601 | − | 57.4761i | −0.163628 | − | 1.92877i | ||||
\(889\) | −3.50316 | + | 3.71313i | −0.117492 | + | 0.124535i | ||||
\(890\) | −18.0492 | − | 32.7086i | −0.605011 | − | 1.09639i | ||||
\(891\) | −23.6136 | − | 8.88805i | −0.791087 | − | 0.297761i | ||||
\(892\) | −35.1658 | − | 22.1609i | −1.17744 | − | 0.742002i | ||||
\(893\) | −16.1359 | − | 15.2234i | −0.539966 | − | 0.509432i | ||||
\(894\) | −8.21092 | + | 19.4073i | −0.274614 | + | 0.649078i | ||||
\(895\) | −20.6893 | + | 1.20502i | −0.691568 | + | 0.0402792i | ||||
\(896\) | 4.06865 | − | 1.13359i | 0.135924 | − | 0.0378706i | ||||
\(897\) | 1.87899 | + | 1.32335i | 0.0627377 | + | 0.0441853i | ||||
\(898\) | −23.2004 | + | 33.8294i | −0.774207 | + | 1.12890i | ||||
\(899\) | −2.81350 | − | 2.36081i | −0.0938355 | − | 0.0787374i | ||||
\(900\) | 0.592920 | + | 8.20110i | 0.0197640 | + | 0.273370i | ||||
\(901\) | −10.0990 | + | 8.47407i | −0.336446 | + | 0.282312i | ||||
\(902\) | 0.228335 | + | 2.34669i | 0.00760273 | + | 0.0781364i | ||||
\(903\) | −1.11140 | − | 1.25576i | −0.0369852 | − | 0.0417892i | ||||
\(904\) | 5.81666 | + | 32.9690i | 0.193459 | + | 1.09653i | ||||
\(905\) | 38.0168 | + | 11.3815i | 1.26372 | + | 0.378334i | ||||
\(906\) | 15.7685 | + | 26.8758i | 0.523873 | + | 0.892887i | ||||
\(907\) | 4.55458 | + | 38.9669i | 0.151232 | + | 1.29388i | 0.829270 | + | 0.558849i | \(0.188757\pi\) |
−0.678037 | + | 0.735027i | \(0.737169\pi\) | |||||||
\(908\) | 4.12946 | + | 1.68676i | 0.137041 | + | 0.0559770i | ||||
\(909\) | 6.20614 | + | 6.65054i | 0.205845 | + | 0.220585i | ||||
\(910\) | 2.92978 | − | 1.00256i | 0.0971212 | − | 0.0332345i | ||||
\(911\) | −1.18826 | + | 20.4017i | −0.0393689 | + | 0.675938i | 0.919675 | + | 0.392680i | \(0.128452\pi\) |
−0.959044 | + | 0.283257i | \(0.908585\pi\) | |||||||
\(912\) | −0.269615 | − | 37.9987i | −0.00892783 | − | 1.25826i | ||||
\(913\) | −6.51214 | − | 15.0968i | −0.215520 | − | 0.499632i | ||||
\(914\) | −1.19850 | − | 30.8594i | −0.0396427 | − | 1.02074i | ||||
\(915\) | −14.5454 | − | 9.02666i | −0.480855 | − | 0.298412i | ||||
\(916\) | −21.7572 | + | 21.3421i | −0.718877 | + | 0.705161i | ||||
\(917\) | 5.95043 | + | 3.43548i | 0.196500 | + | 0.113450i | ||||
\(918\) | 5.67698 | + | 15.5233i | 0.187368 | + | 0.512344i | ||||
\(919\) | −30.2775 | + | 17.4807i | −0.998762 | + | 0.576635i | −0.907882 | − | 0.419227i | \(-0.862301\pi\) |
−0.0908799 | + | 0.995862i | \(0.528968\pi\) | |||||||
\(920\) | 2.25981 | − | 0.535818i | 0.0745036 | − | 0.0176654i | ||||
\(921\) | 55.5425 | + | 11.6269i | 1.83019 | + | 0.383119i | ||||
\(922\) | 1.26667 | − | 2.40490i | 0.0417155 | − | 0.0792011i | ||||
\(923\) | 21.4483 | − | 28.8100i | 0.705979 | − | 0.948294i | ||||
\(924\) | −2.45514 | − | 2.66761i | −0.0807683 | − | 0.0877579i | ||||
\(925\) | 13.4813 | + | 8.86679i | 0.443262 | + | 0.291538i | ||||
\(926\) | 29.3508 | − | 33.6345i | 0.964528 | − | 1.10530i | ||||
\(927\) | 34.6842 | + | 12.8391i | 1.13918 | + | 0.421690i | ||||
\(928\) | −4.49094 | − | 6.54566i | −0.147422 | − | 0.214872i | ||||
\(929\) | 43.3251 | − | 32.2543i | 1.42145 | − | 1.05823i | 0.433894 | − | 0.900964i | \(-0.357139\pi\) |
0.987556 | − | 0.157267i | \(-0.0502683\pi\) | |||||||
\(930\) | −12.0428 | − | 2.03670i | −0.394901 | − | 0.0667860i | ||||
\(931\) | −27.3704 | + | 25.8226i | −0.897028 | + | 0.846302i | ||||
\(932\) | 10.9785 | + | 55.8810i | 0.359612 | + | 1.83044i | ||||
\(933\) | −51.0825 | − | 7.62509i | −1.67237 | − | 0.249634i | ||||
\(934\) | 8.68257 | − | 19.1029i | 0.284102 | − | 0.625066i | ||||
\(935\) | 11.2888 | + | 4.10879i | 0.369184 | + | 0.134372i | ||||
\(936\) | −7.35779 | − | 25.0654i | −0.240497 | − | 0.819290i | ||||
\(937\) | −14.8445 | + | 5.40296i | −0.484949 | + | 0.176507i | −0.572912 | − | 0.819617i | \(-0.694186\pi\) |
0.0879634 | + | 0.996124i | \(0.471964\pi\) | |||||||
\(938\) | 0.0724838 | − | 0.932948i | 0.00236668 | − | 0.0304618i | ||||
\(939\) | −23.6115 | + | 23.4829i | −0.770533 | + | 0.766335i | ||||
\(940\) | −14.3764 | + | 5.55168i | −0.468907 | + | 0.181076i | ||||
\(941\) | −5.36506 | − | 8.15718i | −0.174896 | − | 0.265916i | 0.737393 | − | 0.675464i | \(-0.236057\pi\) |
−0.912289 | + | 0.409548i | \(0.865686\pi\) | |||||||
\(942\) | 2.32594 | + | 2.16386i | 0.0757834 | + | 0.0705022i | ||||
\(943\) | −0.245546 | + | 0.0735115i | −0.00799607 | + | 0.00239386i | ||||
\(944\) | 28.4006 | − | 41.4207i | 0.924362 | − | 1.34813i | ||||
\(945\) | −2.59171 | − | 2.63454i | −0.0843084 | − | 0.0857017i | ||||
\(946\) | −0.199050 | + | 10.2803i | −0.00647166 | + | 0.334241i | ||||
\(947\) | 8.93725 | + | 2.11817i | 0.290422 | + | 0.0688312i | 0.373244 | − | 0.927733i | \(-0.378245\pi\) |
−0.0828227 | + | 0.996564i | \(0.526394\pi\) | |||||||
\(948\) | 3.61538 | − | 51.1676i | 0.117422 | − | 1.66185i | ||||
\(949\) | −38.8045 | − | 19.4883i | −1.25965 | − | 0.632619i | ||||
\(950\) | 8.40196 | + | 6.51157i | 0.272595 | + | 0.211263i | ||||
\(951\) | 1.88329 | + | 22.2252i | 0.0610699 | + | 0.720702i | ||||
\(952\) | −0.275492 | + | 2.35899i | −0.00892875 | + | 0.0764553i | ||||
\(953\) | 49.0528 | + | 8.64933i | 1.58898 | + | 0.280179i | 0.897097 | − | 0.441834i | \(-0.145672\pi\) |
0.691879 | + | 0.722013i | \(0.256783\pi\) | |||||||
\(954\) | −21.9378 | − | 11.7083i | −0.710263 | − | 0.379069i | ||||
\(955\) | −15.7115 | + | 2.77036i | −0.508412 | + | 0.0896467i | ||||
\(956\) | −0.528346 | + | 1.10513i | −0.0170879 | + | 0.0357424i | ||||
\(957\) | −3.25025 | + | 5.98875i | −0.105066 | + | 0.193589i | ||||
\(958\) | 23.3927 | − | 5.06798i | 0.755783 | − | 0.163739i | ||||
\(959\) | −0.622973 | + | 0.147647i | −0.0201168 | + | 0.00476778i | ||||
\(960\) | −23.8968 | − | 11.2171i | −0.771265 | − | 0.362031i | ||||
\(961\) | 9.56528 | − | 22.1748i | 0.308557 | − | 0.715317i | ||||
\(962\) | −47.8238 | − | 18.4625i | −1.54190 | − | 0.595256i | ||||
\(963\) | 4.18957 | − | 1.22937i | 0.135007 | − | 0.0396160i | ||||
\(964\) | −33.8271 | + | 10.8487i | −1.08950 | + | 0.349412i | ||||
\(965\) | 11.3168 | + | 22.5337i | 0.364302 | + | 0.725384i | ||||
\(966\) | 0.233135 | − | 0.317773i | 0.00750101 | − | 0.0102242i | ||||
\(967\) | 3.03865 | − | 25.9973i | 0.0977163 | − | 0.836017i | −0.852137 | − | 0.523319i | \(-0.824693\pi\) |
0.949853 | − | 0.312697i | \(-0.101232\pi\) | |||||||
\(968\) | −0.000870902 | − | 8.88331i | −2.79919e−5 | − | 0.285520i | ||||
\(969\) | 19.8366 | + | 7.94339i | 0.637244 | + | 0.255178i | ||||
\(970\) | −10.7610 | + | 41.7825i | −0.345515 | + | 1.34155i | ||||
\(971\) | −52.0119 | −1.66914 | −0.834570 | − | 0.550902i | \(-0.814284\pi\) | ||||
−0.834570 | + | 0.550902i | \(0.814284\pi\) | |||||||
\(972\) | −23.1694 | + | 20.8610i | −0.743157 | + | 0.669117i | ||||
\(973\) | −2.53990 | −0.0814254 | ||||||||
\(974\) | −4.87440 | + | 18.9262i | −0.156186 | + | 0.606433i | ||||
\(975\) | 6.78384 | + | 2.71653i | 0.217257 | + | 0.0869985i | ||||
\(976\) | −18.1675 | + | 10.0275i | −0.581526 | + | 0.320972i | ||||
\(977\) | 2.21729 | − | 18.9701i | 0.0709374 | − | 0.606908i | −0.910279 | − | 0.413996i | \(-0.864133\pi\) |
0.981216 | − | 0.192912i | \(-0.0617932\pi\) | |||||||
\(978\) | 22.1651 | − | 30.2120i | 0.708763 | − | 0.966074i | ||||
\(979\) | 17.4455 | + | 34.7369i | 0.557562 | + | 1.11020i | ||||
\(980\) | 7.98316 | + | 24.8922i | 0.255013 | + | 0.795153i | ||||
\(981\) | 6.50393 | − | 26.7892i | 0.207655 | − | 0.855312i | ||||
\(982\) | 33.6183 | + | 12.9785i | 1.07280 | + | 0.414159i | ||||
\(983\) | 16.5717 | − | 38.4176i | 0.528556 | − | 1.22533i | −0.419654 | − | 0.907684i | \(-0.637849\pi\) |
0.948210 | − | 0.317646i | \(-0.102892\pi\) | |||||||
\(984\) | 2.70473 | + | 1.08278i | 0.0862237 | + | 0.0345177i | ||||
\(985\) | 32.1382 | − | 7.61690i | 1.02401 | − | 0.242694i | ||||
\(986\) | 4.36257 | − | 0.945141i | 0.138932 | − | 0.0300994i | ||||
\(987\) | −1.24749 | + | 2.29856i | −0.0397081 | + | 0.0731641i | ||||
\(988\) | −30.4682 | − | 14.5664i | −0.969323 | − | 0.463420i | ||||
\(989\) | −1.10079 | + | 0.194100i | −0.0350032 | + | 0.00617202i | ||||
\(990\) | 0.755661 | + | 22.6472i | 0.0240165 | + | 0.719775i | ||||
\(991\) | 45.8751 | + | 8.08902i | 1.45727 | + | 0.256956i | 0.845456 | − | 0.534045i | \(-0.179329\pi\) |
0.611815 | + | 0.791001i | \(0.290440\pi\) | |||||||
\(992\) | −9.29321 | + | 11.5256i | −0.295060 | + | 0.365939i | ||||
\(993\) | 3.50958 | + | 41.4175i | 0.111373 | + | 1.31434i | ||||
\(994\) | −4.86849 | − | 3.77311i | −0.154419 | − | 0.119676i | ||||
\(995\) | 29.1448 | + | 14.6371i | 0.923952 | + | 0.464026i | ||||
\(996\) | −20.2656 | − | 1.43192i | −0.642139 | − | 0.0453720i | ||||
\(997\) | −0.623538 | − | 0.147781i | −0.0197476 | − | 0.00468028i | 0.220730 | − | 0.975335i | \(-0.429156\pi\) |
−0.240478 | + | 0.970655i | \(0.577304\pi\) | |||||||
\(998\) | −0.244093 | + | 12.6066i | −0.00772663 | + | 0.399056i | ||||
\(999\) | 4.83266 | + | 60.9904i | 0.152899 | + | 1.92965i |
(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 | 324.2.p.a.11.4 | ✓ | 936 | |
3.2 | odd | 2 | 972.2.p.a.359.49 | 936 | |||
4.3 | odd | 2 | inner | 324.2.p.a.11.22 | yes | 936 | |
12.11 | even | 2 | 972.2.p.a.359.31 | 936 | |||
81.22 | even | 27 | 972.2.p.a.287.31 | 936 | |||
81.59 | odd | 54 | inner | 324.2.p.a.59.22 | yes | 936 | |
324.59 | even | 54 | inner | 324.2.p.a.59.4 | yes | 936 | |
324.103 | odd | 54 | 972.2.p.a.287.49 | 936 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
324.2.p.a.11.4 | ✓ | 936 | 1.1 | even | 1 | trivial | |
324.2.p.a.11.22 | yes | 936 | 4.3 | odd | 2 | inner | |
324.2.p.a.59.4 | yes | 936 | 324.59 | even | 54 | inner | |
324.2.p.a.59.22 | yes | 936 | 81.59 | odd | 54 | inner | |
972.2.p.a.287.31 | 936 | 81.22 | even | 27 | |||
972.2.p.a.287.49 | 936 | 324.103 | odd | 54 | |||
972.2.p.a.359.31 | 936 | 12.11 | even | 2 | |||
972.2.p.a.359.49 | 936 | 3.2 | odd | 2 |