Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,2,Mod(5,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.k (of order \(32\), degree \(16\), 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: | \(1.02208514587\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 5.15 | ||
Character | \(\chi\) | \(=\) | 128.5 |
Dual form | 128.2.k.a.77.15 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37613 | − | 0.325966i | 0.973074 | − | 0.230493i | ||||
\(3\) | −1.74451 | − | 0.529190i | −1.00719 | − | 0.305528i | −0.256759 | − | 0.966476i | \(-0.582655\pi\) |
−0.750432 | + | 0.660947i | \(0.770155\pi\) | |||||||
\(4\) | 1.78749 | − | 0.897147i | 0.893746 | − | 0.448573i | ||||
\(5\) | 2.07613 | + | 0.204481i | 0.928473 | + | 0.0914466i | 0.550936 | − | 0.834548i | \(-0.314271\pi\) |
0.377537 | + | 0.925994i | \(0.376771\pi\) | |||||||
\(6\) | −2.57317 | − | 0.159587i | −1.05049 | − | 0.0651510i | ||||
\(7\) | −0.655035 | − | 0.980329i | −0.247580 | − | 0.370529i | 0.686777 | − | 0.726868i | \(-0.259025\pi\) |
−0.934357 | + | 0.356339i | \(0.884025\pi\) | |||||||
\(8\) | 2.16739 | − | 1.81726i | 0.766288 | − | 0.642497i | ||||
\(9\) | 0.268850 | + | 0.179640i | 0.0896167 | + | 0.0598799i | ||||
\(10\) | 2.92369 | − | 0.395355i | 0.924551 | − | 0.125022i | ||||
\(11\) | −0.641887 | + | 1.20089i | −0.193536 | + | 0.362081i | −0.959907 | − | 0.280317i | \(-0.909560\pi\) |
0.766371 | + | 0.642398i | \(0.222060\pi\) | |||||||
\(12\) | −3.59305 | + | 0.619155i | −1.03722 | + | 0.178735i | ||||
\(13\) | 0.356345 | + | 3.61804i | 0.0988324 | + | 1.00346i | 0.908869 | + | 0.417083i | \(0.136947\pi\) |
−0.810036 | + | 0.586380i | \(0.800553\pi\) | |||||||
\(14\) | −1.22097 | − | 1.13554i | −0.326318 | − | 0.303487i | ||||
\(15\) | −3.51361 | − | 1.45538i | −0.907210 | − | 0.375779i | ||||
\(16\) | 2.39026 | − | 3.20729i | 0.597564 | − | 0.801821i | ||||
\(17\) | −0.871613 | + | 0.361034i | −0.211397 | + | 0.0875636i | −0.485869 | − | 0.874031i | \(-0.661497\pi\) |
0.274472 | + | 0.961595i | \(0.411497\pi\) | |||||||
\(18\) | 0.428530 | + | 0.159573i | 0.101006 | + | 0.0376116i | ||||
\(19\) | −3.46157 | + | 4.21794i | −0.794139 | + | 0.967661i | −0.999940 | − | 0.0109329i | \(-0.996520\pi\) |
0.205801 | + | 0.978594i | \(0.434020\pi\) | |||||||
\(20\) | 3.89451 | − | 1.49708i | 0.870840 | − | 0.334758i | ||||
\(21\) | 0.623932 | + | 2.05683i | 0.136153 | + | 0.448836i | ||||
\(22\) | −0.491875 | + | 1.86182i | −0.104868 | + | 0.396940i | ||||
\(23\) | −0.0751658 | − | 0.377884i | −0.0156731 | − | 0.0787942i | 0.972157 | − | 0.234330i | \(-0.0752896\pi\) |
−0.987830 | + | 0.155536i | \(0.950290\pi\) | |||||||
\(24\) | −4.74270 | + | 2.02325i | −0.968099 | + | 0.412995i | ||||
\(25\) | −0.635429 | − | 0.126395i | −0.127086 | − | 0.0252789i | ||||
\(26\) | 1.66974 | + | 4.86275i | 0.327462 | + | 0.953663i | ||||
\(27\) | 3.09556 | + | 3.77195i | 0.595740 | + | 0.725912i | ||||
\(28\) | −2.05037 | − | 1.16467i | −0.387483 | − | 0.220101i | ||||
\(29\) | −8.81508 | + | 4.71176i | −1.63692 | + | 0.874952i | −0.642876 | + | 0.765970i | \(0.722259\pi\) |
−0.994044 | + | 0.108982i | \(0.965241\pi\) | |||||||
\(30\) | −5.30961 | − | 0.857487i | −0.969397 | − | 0.156555i | ||||
\(31\) | −0.693719 | − | 0.693719i | −0.124596 | − | 0.124596i | 0.642059 | − | 0.766655i | \(-0.278080\pi\) |
−0.766655 | + | 0.642059i | \(0.778080\pi\) | |||||||
\(32\) | 2.24385 | − | 5.19280i | 0.396660 | − | 0.917966i | ||||
\(33\) | 1.75527 | − | 1.75527i | 0.305554 | − | 0.305554i | ||||
\(34\) | −1.08177 | + | 0.780948i | −0.185522 | + | 0.133931i | ||||
\(35\) | −1.15948 | − | 2.16923i | −0.195987 | − | 0.366667i | ||||
\(36\) | 0.641731 | + | 0.0799069i | 0.106955 | + | 0.0133178i | ||||
\(37\) | 5.99840 | − | 4.92276i | 0.986131 | − | 0.809297i | 0.00448115 | − | 0.999990i | \(-0.498574\pi\) |
0.981650 | + | 0.190693i | \(0.0610736\pi\) | |||||||
\(38\) | −3.38868 | + | 6.93280i | −0.549717 | + | 1.12465i | ||||
\(39\) | 1.29298 | − | 6.50026i | 0.207043 | − | 1.04087i | ||||
\(40\) | 4.87137 | − | 3.32967i | 0.770232 | − | 0.526467i | ||||
\(41\) | 8.66836 | − | 1.72424i | 1.35377 | − | 0.269282i | 0.535704 | − | 0.844406i | \(-0.320046\pi\) |
0.818066 | + | 0.575124i | \(0.195046\pi\) | |||||||
\(42\) | 1.52907 | + | 2.62709i | 0.235941 | + | 0.405369i | ||||
\(43\) | 8.68394 | − | 2.63425i | 1.32429 | − | 0.401719i | 0.452572 | − | 0.891728i | \(-0.350507\pi\) |
0.871717 | + | 0.490009i | \(0.163007\pi\) | |||||||
\(44\) | −0.0699970 | + | 2.72244i | −0.0105524 | + | 0.410424i | ||||
\(45\) | 0.521434 | + | 0.427930i | 0.0777308 | + | 0.0637921i | ||||
\(46\) | −0.226616 | − | 0.495517i | −0.0334126 | − | 0.0730601i | ||||
\(47\) | −3.44487 | − | 8.31666i | −0.502486 | − | 1.21311i | −0.948125 | − | 0.317896i | \(-0.897024\pi\) |
0.445639 | − | 0.895213i | \(-0.352976\pi\) | |||||||
\(48\) | −5.86708 | + | 4.33023i | −0.846840 | + | 0.625015i | ||||
\(49\) | 2.14681 | − | 5.18286i | 0.306687 | − | 0.740408i | ||||
\(50\) | −0.915636 | + | 0.0331923i | −0.129490 | + | 0.00469410i | ||||
\(51\) | 1.71159 | − | 0.168577i | 0.239670 | − | 0.0236055i | ||||
\(52\) | 3.88287 | + | 6.14752i | 0.538458 | + | 0.852507i | ||||
\(53\) | −9.29271 | − | 4.96706i | −1.27645 | − | 0.682278i | −0.312896 | − | 0.949787i | \(-0.601299\pi\) |
−0.963555 | + | 0.267510i | \(0.913799\pi\) | |||||||
\(54\) | 5.48943 | + | 4.18166i | 0.747017 | + | 0.569052i | ||||
\(55\) | −1.57820 | + | 2.36194i | −0.212804 | + | 0.318484i | ||||
\(56\) | −3.20122 | − | 0.934388i | −0.427782 | − | 0.124863i | ||||
\(57\) | 8.27082 | − | 5.52639i | 1.09550 | − | 0.731988i | ||||
\(58\) | −10.5949 | + | 9.35744i | −1.39117 | + | 1.22869i | ||||
\(59\) | −1.18777 | + | 12.0597i | −0.154635 | + | 1.57004i | 0.534352 | + | 0.845262i | \(0.320556\pi\) |
−0.688987 | + | 0.724773i | \(0.741944\pi\) | |||||||
\(60\) | −7.58624 | + | 0.550734i | −0.979380 | + | 0.0710995i | ||||
\(61\) | −1.32906 | + | 4.38132i | −0.170169 | + | 0.560971i | 0.829827 | + | 0.558021i | \(0.188439\pi\) |
−0.999996 | + | 0.00294993i | \(0.999061\pi\) | |||||||
\(62\) | −1.18078 | − | 0.728522i | −0.149959 | − | 0.0925224i | ||||
\(63\) | − | 0.381232i | − | 0.0480307i | ||||||
\(64\) | 1.39516 | − | 7.87741i | 0.174395 | − | 0.984676i | ||||
\(65\) | 7.58437i | 0.940726i | ||||||||
\(66\) | 1.84333 | − | 2.98765i | 0.226899 | − | 0.367755i | ||||
\(67\) | 4.54267 | − | 14.9752i | 0.554976 | − | 1.82951i | −0.00350669 | − | 0.999994i | \(-0.501116\pi\) |
0.558483 | − | 0.829516i | \(-0.311384\pi\) | |||||||
\(68\) | −1.23410 | + | 1.42731i | −0.149657 | + | 0.173087i | ||||
\(69\) | −0.0688453 | + | 0.698998i | −0.00828799 | + | 0.0841494i | ||||
\(70\) | −2.30269 | − | 2.60720i | −0.275224 | − | 0.311620i | ||||
\(71\) | −5.08045 | + | 3.39465i | −0.602939 | + | 0.402871i | −0.819236 | − | 0.573457i | \(-0.805602\pi\) |
0.216297 | + | 0.976328i | \(0.430602\pi\) | |||||||
\(72\) | 0.909154 | − | 0.0992199i | 0.107145 | − | 0.0116932i | ||||
\(73\) | −1.55710 | + | 2.33036i | −0.182245 | + | 0.272748i | −0.911332 | − | 0.411672i | \(-0.864945\pi\) |
0.729087 | + | 0.684421i | \(0.239945\pi\) | |||||||
\(74\) | 6.64995 | − | 8.72965i | 0.773041 | − | 1.01480i | ||||
\(75\) | 1.04162 | + | 0.556759i | 0.120276 | + | 0.0642890i | ||||
\(76\) | −2.40342 | + | 10.6451i | −0.275691 | + | 1.22107i | ||||
\(77\) | 1.59772 | − | 0.157362i | 0.182077 | − | 0.0179331i | ||||
\(78\) | −0.339548 | − | 9.36670i | −0.0384462 | − | 1.06057i | ||||
\(79\) | −2.24899 | + | 5.42954i | −0.253031 | + | 0.610871i | −0.998446 | − | 0.0557298i | \(-0.982251\pi\) |
0.745415 | + | 0.666601i | \(0.232251\pi\) | |||||||
\(80\) | 5.61831 | − | 6.16998i | 0.628146 | − | 0.689824i | ||||
\(81\) | −3.77536 | − | 9.11451i | −0.419484 | − | 1.01272i | ||||
\(82\) | 11.3668 | − | 5.19838i | 1.25525 | − | 0.574065i | ||||
\(83\) | 2.34298 | + | 1.92283i | 0.257176 | + | 0.211058i | 0.754142 | − | 0.656711i | \(-0.228053\pi\) |
−0.496967 | + | 0.867770i | \(0.665553\pi\) | |||||||
\(84\) | 2.96055 | + | 3.11680i | 0.323022 | + | 0.340071i | ||||
\(85\) | −1.88341 | + | 0.571325i | −0.204284 | + | 0.0619689i | ||||
\(86\) | 11.0916 | − | 6.45575i | 1.19604 | − | 0.696141i | ||||
\(87\) | 17.8714 | − | 3.55484i | 1.91601 | − | 0.381119i | ||||
\(88\) | 0.791099 | + | 3.76926i | 0.0843315 | + | 0.401805i | ||||
\(89\) | −0.552284 | + | 2.77652i | −0.0585420 | + | 0.294310i | −0.998954 | − | 0.0457268i | \(-0.985440\pi\) |
0.940412 | + | 0.340037i | \(0.110440\pi\) | |||||||
\(90\) | 0.857055 | + | 0.418919i | 0.0903415 | + | 0.0441580i | ||||
\(91\) | 3.31344 | − | 2.71927i | 0.347343 | − | 0.285057i | ||||
\(92\) | −0.473375 | − | 0.608030i | −0.0493528 | − | 0.0633915i | ||||
\(93\) | 0.843088 | + | 1.57731i | 0.0874241 | + | 0.163559i | ||||
\(94\) | −7.45156 | − | 10.3219i | −0.768569 | − | 1.06463i | ||||
\(95\) | −8.04915 | + | 8.04915i | −0.825826 | + | 0.825826i | ||||
\(96\) | −6.66238 | + | 7.87145i | −0.679976 | + | 0.803376i | ||||
\(97\) | 5.35433 | + | 5.35433i | 0.543649 | + | 0.543649i | 0.924597 | − | 0.380947i | \(-0.124402\pi\) |
−0.380947 | + | 0.924597i | \(0.624402\pi\) | |||||||
\(98\) | 1.26486 | − | 7.83210i | 0.127770 | − | 0.791161i | ||||
\(99\) | −0.388299 | + | 0.207550i | −0.0390255 | + | 0.0208596i | ||||
\(100\) | −1.24922 | + | 0.344143i | −0.124922 | + | 0.0344143i | ||||
\(101\) | −10.5427 | − | 12.8463i | −1.04903 | − | 1.27825i | −0.959331 | − | 0.282282i | \(-0.908909\pi\) |
−0.0897019 | − | 0.995969i | \(-0.528591\pi\) | |||||||
\(102\) | 2.30043 | − | 0.789905i | 0.227776 | − | 0.0782122i | ||||
\(103\) | 4.20047 | + | 0.835525i | 0.413885 | + | 0.0823268i | 0.397640 | − | 0.917541i | \(-0.369829\pi\) |
0.0162440 | + | 0.999868i | \(0.494829\pi\) | |||||||
\(104\) | 7.34724 | + | 7.19412i | 0.720456 | + | 0.705442i | ||||
\(105\) | 0.874781 | + | 4.39782i | 0.0853698 | + | 0.429183i | ||||
\(106\) | −14.4071 | − | 3.80623i | −1.39934 | − | 0.369694i | ||||
\(107\) | 2.33240 | + | 7.68890i | 0.225482 | + | 0.743314i | 0.994561 | + | 0.104160i | \(0.0332154\pi\) |
−0.769079 | + | 0.639154i | \(0.779285\pi\) | |||||||
\(108\) | 8.91727 | + | 3.96516i | 0.858065 | + | 0.381547i | ||||
\(109\) | 4.39643 | − | 5.35706i | 0.421101 | − | 0.513114i | −0.518643 | − | 0.854991i | \(-0.673563\pi\) |
0.939745 | + | 0.341877i | \(0.111063\pi\) | |||||||
\(110\) | −1.40190 | + | 3.76479i | −0.133666 | + | 0.358959i | ||||
\(111\) | −13.0693 | + | 5.41349i | −1.24048 | + | 0.513826i | ||||
\(112\) | −4.70989 | − | 0.242353i | −0.445043 | − | 0.0229002i | ||||
\(113\) | −11.9085 | − | 4.93267i | −1.12026 | − | 0.464027i | −0.255800 | − | 0.966730i | \(-0.582339\pi\) |
−0.864459 | + | 0.502703i | \(0.832339\pi\) | |||||||
\(114\) | 9.58035 | − | 10.3011i | 0.897282 | − | 0.964782i | ||||
\(115\) | −0.0787838 | − | 0.799905i | −0.00734663 | − | 0.0745916i | ||||
\(116\) | −11.5298 | + | 16.3307i | −1.07051 | + | 1.51626i | ||||
\(117\) | −0.554140 | + | 1.03672i | −0.0512302 | + | 0.0958451i | ||||
\(118\) | 2.29651 | + | 16.9829i | 0.211411 | + | 1.56340i | ||||
\(119\) | 0.924869 | + | 0.617977i | 0.0847826 | + | 0.0566499i | ||||
\(120\) | −10.2602 | + | 3.23074i | −0.936621 | + | 0.294925i | ||||
\(121\) | 5.08116 | + | 7.60450i | 0.461924 | + | 0.691318i | ||||
\(122\) | −0.400801 | + | 6.46251i | −0.0362869 | + | 0.585088i | ||||
\(123\) | −16.0345 | − | 1.57926i | −1.44578 | − | 0.142397i | ||||
\(124\) | −1.86239 | − | 0.617650i | −0.167247 | − | 0.0554666i | ||||
\(125\) | −11.2751 | − | 3.42027i | −1.00848 | − | 0.305918i | ||||
\(126\) | −0.124269 | − | 0.524626i | −0.0110707 | − | 0.0467374i | ||||
\(127\) | 16.2954 | 1.44598 | 0.722991 | − | 0.690857i | \(-0.242767\pi\) | ||||
0.722991 | + | 0.690857i | \(0.242767\pi\) | |||||||
\(128\) | −0.647843 | − | 11.2951i | −0.0572618 | − | 0.998359i | ||||
\(129\) | −16.5432 | −1.45655 | ||||||||
\(130\) | 2.47225 | + | 10.4371i | 0.216831 | + | 0.915396i | ||||
\(131\) | 5.06748 | + | 1.53720i | 0.442748 | + | 0.134306i | 0.503785 | − | 0.863829i | \(-0.331941\pi\) |
−0.0610364 | + | 0.998136i | \(0.519441\pi\) | |||||||
\(132\) | 1.56280 | − | 4.71228i | 0.136024 | − | 0.410151i | ||||
\(133\) | 6.40241 | + | 0.630582i | 0.555159 | + | 0.0546784i | ||||
\(134\) | 1.36992 | − | 22.0886i | 0.118343 | − | 1.90817i | ||||
\(135\) | 5.65548 | + | 8.46403i | 0.486747 | + | 0.728468i | ||||
\(136\) | −1.23303 | + | 2.36645i | −0.105732 | + | 0.202921i | ||||
\(137\) | −7.53089 | − | 5.03198i | −0.643407 | − | 0.429911i | 0.190598 | − | 0.981668i | \(-0.438957\pi\) |
−0.834005 | + | 0.551757i | \(0.813957\pi\) | |||||||
\(138\) | 0.133109 | + | 0.984356i | 0.0113310 | + | 0.0837939i | ||||
\(139\) | −1.32082 | + | 2.47107i | −0.112030 | + | 0.209594i | −0.931688 | − | 0.363260i | \(-0.881664\pi\) |
0.819658 | + | 0.572854i | \(0.194164\pi\) | |||||||
\(140\) | −4.01867 | − | 2.83726i | −0.339640 | − | 0.239792i | ||||
\(141\) | 1.60851 | + | 16.3314i | 0.135461 | + | 1.37536i | ||||
\(142\) | −5.88485 | + | 6.32755i | −0.493845 | + | 0.530996i | ||||
\(143\) | −4.57359 | − | 1.89444i | −0.382462 | − | 0.158421i | ||||
\(144\) | 1.21878 | − | 0.432894i | 0.101565 | − | 0.0360745i | ||||
\(145\) | −19.2647 | + | 7.97971i | −1.59985 | + | 0.662679i | ||||
\(146\) | −1.38316 | + | 3.71445i | −0.114471 | + | 0.307410i | ||||
\(147\) | −6.48784 | + | 7.90546i | −0.535108 | + | 0.652031i | ||||
\(148\) | 6.30565 | − | 14.1808i | 0.518322 | − | 1.16566i | ||||
\(149\) | 3.26286 | + | 10.7562i | 0.267304 | + | 0.881183i | 0.983131 | + | 0.182905i | \(0.0585501\pi\) |
−0.715827 | + | 0.698278i | \(0.753950\pi\) | |||||||
\(150\) | 1.61490 | + | 0.426641i | 0.131856 | + | 0.0348351i | ||||
\(151\) | −2.93125 | − | 14.7364i | −0.238542 | − | 1.19923i | −0.895416 | − | 0.445230i | \(-0.853122\pi\) |
0.656875 | − | 0.754000i | \(-0.271878\pi\) | |||||||
\(152\) | 0.162498 | + | 15.4325i | 0.0131803 | + | 1.25174i | ||||
\(153\) | −0.299189 | − | 0.0595124i | −0.0241880 | − | 0.00481130i | ||||
\(154\) | 2.14739 | − | 0.737355i | 0.173041 | − | 0.0594177i | ||||
\(155\) | −1.29840 | − | 1.58210i | −0.104290 | − | 0.127078i | ||||
\(156\) | −3.52049 | − | 12.7792i | −0.281865 | − | 1.02315i | ||||
\(157\) | 4.07689 | − | 2.17914i | 0.325371 | − | 0.173914i | −0.300621 | − | 0.953744i | \(-0.597194\pi\) |
0.625992 | + | 0.779829i | \(0.284694\pi\) | |||||||
\(158\) | −1.32507 | + | 8.20487i | −0.105417 | + | 0.652745i | ||||
\(159\) | 13.5827 | + | 13.5827i | 1.07718 | + | 1.07718i | ||||
\(160\) | 5.72034 | − | 10.3221i | 0.452233 | − | 0.816033i | ||||
\(161\) | −0.321214 | + | 0.321214i | −0.0253152 | + | 0.0253152i | ||||
\(162\) | −8.16642 | − | 11.3122i | −0.641615 | − | 0.888767i | ||||
\(163\) | 0.183017 | + | 0.342401i | 0.0143350 | + | 0.0268189i | 0.888987 | − | 0.457933i | \(-0.151410\pi\) |
−0.874652 | + | 0.484752i | \(0.838910\pi\) | |||||||
\(164\) | 13.9477 | − | 10.8589i | 1.08913 | − | 0.847935i | ||||
\(165\) | 4.00309 | − | 3.28525i | 0.311640 | − | 0.255757i | ||||
\(166\) | 3.85104 | + | 1.88235i | 0.298898 | + | 0.146098i | ||||
\(167\) | 0.815829 | − | 4.10145i | 0.0631307 | − | 0.317380i | −0.936297 | − | 0.351210i | \(-0.885770\pi\) |
0.999428 | + | 0.0338299i | \(0.0107705\pi\) | |||||||
\(168\) | 5.09008 | + | 3.32410i | 0.392709 | + | 0.256460i | ||||
\(169\) | −0.212990 | + | 0.0423663i | −0.0163838 | + | 0.00325895i | ||||
\(170\) | −2.40559 | + | 1.40015i | −0.184500 | + | 0.107386i | ||||
\(171\) | −1.68835 | + | 0.512156i | −0.129112 | + | 0.0391656i | ||||
\(172\) | 13.1592 | − | 12.4995i | 1.00338 | − | 0.953075i | ||||
\(173\) | −4.13814 | − | 3.39608i | −0.314617 | − | 0.258199i | 0.463810 | − | 0.885935i | \(-0.346482\pi\) |
−0.778427 | + | 0.627735i | \(0.783982\pi\) | |||||||
\(174\) | 23.4347 | − | 10.7174i | 1.77658 | − | 0.812484i | ||||
\(175\) | 0.292319 | + | 0.705722i | 0.0220973 | + | 0.0533475i | ||||
\(176\) | 2.31731 | + | 4.92914i | 0.174674 | + | 0.371548i | ||||
\(177\) | 8.45394 | − | 20.4096i | 0.635437 | − | 1.53408i | ||||
\(178\) | 0.145034 | + | 4.00089i | 0.0108708 | + | 0.299879i | ||||
\(179\) | 8.41835 | − | 0.829135i | 0.629217 | − | 0.0619725i | 0.221618 | − | 0.975134i | \(-0.428866\pi\) |
0.407599 | + | 0.913161i | \(0.366366\pi\) | |||||||
\(180\) | 1.31598 | + | 0.297119i | 0.0980870 | + | 0.0221459i | ||||
\(181\) | 4.16051 | + | 2.22384i | 0.309249 | + | 0.165297i | 0.618719 | − | 0.785612i | \(-0.287652\pi\) |
−0.309471 | + | 0.950909i | \(0.600152\pi\) | |||||||
\(182\) | 3.67335 | − | 4.82216i | 0.272287 | − | 0.357442i | ||||
\(183\) | 4.63710 | − | 6.93991i | 0.342784 | − | 0.513013i | ||||
\(184\) | −0.849625 | − | 0.682426i | −0.0626352 | − | 0.0503091i | ||||
\(185\) | 13.4601 | − | 8.99372i | 0.989603 | − | 0.661232i | ||||
\(186\) | 1.67435 | + | 1.89577i | 0.122769 | + | 0.139004i | ||||
\(187\) | 0.125917 | − | 1.27845i | 0.00920793 | − | 0.0934897i | ||||
\(188\) | −13.6189 | − | 11.7754i | −0.993263 | − | 0.858809i | ||||
\(189\) | 1.67005 | − | 5.50542i | 0.121478 | − | 0.400460i | ||||
\(190\) | −8.45296 | + | 13.7005i | −0.613243 | + | 0.993936i | ||||
\(191\) | − | 0.238605i | − | 0.0172649i | −0.999963 | − | 0.00863244i | \(-0.997252\pi\) | ||
0.999963 | − | 0.00863244i | \(-0.00274783\pi\) | |||||||
\(192\) | −6.60251 | + | 13.0039i | −0.476495 | + | 0.938474i | ||||
\(193\) | 3.32647i | 0.239444i | 0.992807 | + | 0.119722i | \(0.0382004\pi\) | ||||
−0.992807 | + | 0.119722i | \(0.961800\pi\) | |||||||
\(194\) | 9.11360 | + | 5.62294i | 0.654318 | + | 0.403704i | ||||
\(195\) | 4.01358 | − | 13.2310i | 0.287418 | − | 0.947490i | ||||
\(196\) | −0.812378 | − | 11.1903i | −0.0580270 | − | 0.799309i | ||||
\(197\) | −0.0595474 | + | 0.604595i | −0.00424258 | + | 0.0430756i | −0.997073 | − | 0.0764564i | \(-0.975639\pi\) |
0.992830 | + | 0.119532i | \(0.0381394\pi\) | |||||||
\(198\) | −0.466697 | + | 0.412189i | −0.0331667 | + | 0.0292930i | ||||
\(199\) | −11.8832 | + | 7.94010i | −0.842377 | + | 0.562859i | −0.900204 | − | 0.435468i | \(-0.856583\pi\) |
0.0578268 | + | 0.998327i | \(0.481583\pi\) | |||||||
\(200\) | −1.60691 | + | 0.880790i | −0.113626 | + | 0.0622813i | ||||
\(201\) | −15.8494 | + | 23.7204i | −1.11793 | + | 1.67311i | ||||
\(202\) | −18.6956 | − | 14.2416i | −1.31541 | − | 1.00204i | ||||
\(203\) | 10.3933 | + | 5.55531i | 0.729464 | + | 0.389907i | ||||
\(204\) | 2.90821 | − | 1.83688i | 0.203616 | − | 0.128607i | ||||
\(205\) | 18.3492 | − | 1.80724i | 1.28156 | − | 0.126223i | ||||
\(206\) | 6.05276 | − | 0.219416i | 0.421716 | − | 0.0152874i | ||||
\(207\) | 0.0476747 | − | 0.115097i | 0.00331362 | − | 0.00799978i | ||||
\(208\) | 12.4558 | + | 7.50513i | 0.863656 | + | 0.520387i | ||||
\(209\) | −2.84333 | − | 6.86440i | −0.196677 | − | 0.474820i | ||||
\(210\) | 2.63736 | + | 5.76684i | 0.181995 | + | 0.397950i | ||||
\(211\) | −14.6466 | − | 12.0202i | −1.00832 | − | 0.827504i | −0.0232592 | − | 0.999729i | \(-0.507404\pi\) |
−0.985058 | + | 0.172225i | \(0.944904\pi\) | |||||||
\(212\) | −21.0668 | − | 0.541651i | −1.44688 | − | 0.0372007i | ||||
\(213\) | 10.6593 | − | 3.23346i | 0.730363 | − | 0.221553i | ||||
\(214\) | 5.71602 | + | 9.82068i | 0.390739 | + | 0.671328i | ||||
\(215\) | 18.5676 | − | 3.69333i | 1.26630 | − | 0.251883i | ||||
\(216\) | 13.5639 | + | 2.54986i | 0.922905 | + | 0.173496i | ||||
\(217\) | −0.225663 | + | 1.13448i | −0.0153190 | + | 0.0770137i | ||||
\(218\) | 4.30386 | − | 8.80513i | 0.291494 | − | 0.596358i | ||||
\(219\) | 3.94957 | − | 3.24133i | 0.266887 | − | 0.219029i | ||||
\(220\) | −0.702010 | + | 5.63783i | −0.0473295 | + | 0.380102i | ||||
\(221\) | −1.61683 | − | 3.02487i | −0.108760 | − | 0.203475i | ||||
\(222\) | −16.2205 | + | 11.7098i | −1.08865 | + | 0.785913i | ||||
\(223\) | −7.43573 | + | 7.43573i | −0.497933 | + | 0.497933i | −0.910794 | − | 0.412861i | \(-0.864530\pi\) |
0.412861 | + | 0.910794i | \(0.364530\pi\) | |||||||
\(224\) | −6.56045 | + | 1.20176i | −0.438338 | + | 0.0802957i | ||||
\(225\) | −0.148129 | − | 0.148129i | −0.00987530 | − | 0.00987530i | ||||
\(226\) | −17.9956 | − | 2.90624i | −1.19705 | − | 0.193320i | ||||
\(227\) | −14.5425 | + | 7.77314i | −0.965221 | + | 0.515921i | −0.877162 | − | 0.480194i | \(-0.840566\pi\) |
−0.0880585 | + | 0.996115i | \(0.528066\pi\) | |||||||
\(228\) | 9.82605 | − | 17.2985i | 0.650746 | − | 1.14562i | ||||
\(229\) | −1.67690 | − | 2.04331i | −0.110813 | − | 0.135026i | 0.714650 | − | 0.699482i | \(-0.246586\pi\) |
−0.825463 | + | 0.564456i | \(0.809086\pi\) | |||||||
\(230\) | −0.369159 | − | 1.07510i | −0.0243416 | − | 0.0708898i | ||||
\(231\) | −2.87051 | − | 0.570980i | −0.188866 | − | 0.0375677i | ||||
\(232\) | −10.5432 | + | 26.2315i | −0.692198 | + | 1.72218i | ||||
\(233\) | 1.22930 | + | 6.18010i | 0.0805340 | + | 0.404872i | 0.999933 | + | 0.0115464i | \(0.00367540\pi\) |
−0.919399 | + | 0.393325i | \(0.871325\pi\) | |||||||
\(234\) | −0.424634 | + | 1.60730i | −0.0277592 | + | 0.105073i | ||||
\(235\) | −5.45140 | − | 17.9709i | −0.355610 | − | 1.17229i | ||||
\(236\) | 8.69616 | + | 22.6222i | 0.566072 | + | 1.47258i | ||||
\(237\) | 6.79663 | − | 8.28172i | 0.441489 | − | 0.537956i | ||||
\(238\) | 1.47418 | + | 0.548944i | 0.0955571 | + | 0.0355828i | ||||
\(239\) | 13.9153 | − | 5.76389i | 0.900104 | − | 0.372835i | 0.115844 | − | 0.993267i | \(-0.463043\pi\) |
0.784260 | + | 0.620432i | \(0.213043\pi\) | |||||||
\(240\) | −13.0663 | + | 7.79041i | −0.843423 | + | 0.502869i | ||||
\(241\) | 25.4574 | + | 10.5448i | 1.63985 | + | 0.679249i | 0.996283 | − | 0.0861378i | \(-0.0274525\pi\) |
0.643570 | + | 0.765387i | \(0.277453\pi\) | |||||||
\(242\) | 9.47117 | + | 8.80852i | 0.608830 | + | 0.566233i | ||||
\(243\) | 0.327979 | + | 3.33003i | 0.0210399 | + | 0.213621i | ||||
\(244\) | 1.55500 | + | 9.02394i | 0.0995490 | + | 0.577698i | ||||
\(245\) | 5.51685 | − | 10.3213i | 0.352459 | − | 0.659404i | ||||
\(246\) | −22.5803 | + | 3.05342i | −1.43967 | + | 0.194679i | ||||
\(247\) | −16.4942 | − | 11.0210i | −1.04950 | − | 0.701252i | ||||
\(248\) | −2.76423 | − | 0.242894i | −0.175529 | − | 0.0154238i | ||||
\(249\) | −3.06980 | − | 4.59428i | −0.194541 | − | 0.291151i | ||||
\(250\) | −16.6310 | − | 1.03144i | −1.05183 | − | 0.0652341i | ||||
\(251\) | −14.4264 | − | 1.42088i | −0.910587 | − | 0.0896850i | −0.368135 | − | 0.929772i | \(-0.620004\pi\) |
−0.542451 | + | 0.840087i | \(0.682504\pi\) | |||||||
\(252\) | −0.342021 | − | 0.681449i | −0.0215453 | − | 0.0429272i | ||||
\(253\) | 0.502044 | + | 0.152293i | 0.0315632 | + | 0.00957460i | ||||
\(254\) | 22.4247 | − | 5.31175i | 1.40705 | − | 0.333289i | ||||
\(255\) | 3.58795 | 0.224686 | ||||||||
\(256\) | −4.57336 | − | 15.3325i | −0.285835 | − | 0.958279i | ||||
\(257\) | 15.7095 | 0.979934 | 0.489967 | − | 0.871741i | \(-0.337009\pi\) | ||||
0.489967 | + | 0.871741i | \(0.337009\pi\) | |||||||
\(258\) | −22.7657 | + | 5.39253i | −1.41733 | + | 0.335724i | ||||
\(259\) | −8.75508 | − | 2.65582i | −0.544014 | − | 0.165025i | ||||
\(260\) | 6.80429 | + | 13.5570i | 0.421984 | + | 0.840770i | ||||
\(261\) | −3.21636 | − | 0.316783i | −0.199087 | − | 0.0196084i | ||||
\(262\) | 7.47462 | + | 0.463571i | 0.461783 | + | 0.0286395i | ||||
\(263\) | 6.50323 | + | 9.73277i | 0.401006 | + | 0.600148i | 0.975937 | − | 0.218054i | \(-0.0699709\pi\) |
−0.574930 | + | 0.818202i | \(0.694971\pi\) | |||||||
\(264\) | 0.614580 | − | 6.99415i | 0.0378248 | − | 0.430460i | ||||
\(265\) | −18.2772 | − | 12.2124i | −1.12276 | − | 0.750203i | ||||
\(266\) | 9.01613 | − | 1.21920i | 0.552814 | − | 0.0747542i | ||||
\(267\) | 2.43277 | − | 4.55139i | 0.148883 | − | 0.278540i | ||||
\(268\) | −5.31495 | − | 30.8435i | −0.324662 | − | 1.88406i | ||||
\(269\) | 0.913425 | + | 9.27416i | 0.0556925 | + | 0.565455i | 0.982025 | + | 0.188749i | \(0.0604433\pi\) |
−0.926333 | + | 0.376706i | \(0.877057\pi\) | |||||||
\(270\) | 10.5417 | + | 9.80415i | 0.641547 | + | 0.596661i | ||||
\(271\) | −17.0681 | − | 7.06983i | −1.03681 | − | 0.429462i | −0.201646 | − | 0.979459i | \(-0.564629\pi\) |
−0.835167 | + | 0.549997i | \(0.814629\pi\) | |||||||
\(272\) | −0.925439 | + | 3.65847i | −0.0561130 | + | 0.221828i | ||||
\(273\) | −7.21934 | + | 2.99035i | −0.436934 | + | 0.180984i | ||||
\(274\) | −12.0038 | − | 4.46986i | −0.725174 | − | 0.270034i | ||||
\(275\) | 0.559659 | − | 0.681947i | 0.0337487 | − | 0.0411229i | ||||
\(276\) | 0.504043 | + | 1.31122i | 0.0303398 | + | 0.0789260i | ||||
\(277\) | 7.89250 | + | 26.0181i | 0.474214 | + | 1.56327i | 0.789174 | + | 0.614170i | \(0.210509\pi\) |
−0.314960 | + | 0.949105i | \(0.601991\pi\) | |||||||
\(278\) | −1.01213 | + | 3.83107i | −0.0607037 | + | 0.229772i | ||||
\(279\) | −0.0618868 | − | 0.311126i | −0.00370507 | − | 0.0186266i | ||||
\(280\) | −6.45509 | − | 2.59450i | −0.385765 | − | 0.155051i | ||||
\(281\) | 27.8619 | + | 5.54208i | 1.66210 | + | 0.330613i | 0.934657 | − | 0.355551i | \(-0.115707\pi\) |
0.727447 | + | 0.686164i | \(0.240707\pi\) | |||||||
\(282\) | 7.53702 | + | 21.9500i | 0.448823 | + | 1.30710i | ||||
\(283\) | −18.5962 | − | 22.6596i | −1.10543 | − | 1.34697i | −0.932139 | − | 0.362102i | \(-0.882059\pi\) |
−0.173293 | − | 0.984870i | \(-0.555441\pi\) | |||||||
\(284\) | −6.03577 | + | 10.6258i | −0.358157 | + | 0.630527i | ||||
\(285\) | 18.3013 | − | 9.78226i | 1.08408 | − | 0.579451i | ||||
\(286\) | −6.91139 | − | 1.11617i | −0.408679 | − | 0.0660006i | ||||
\(287\) | −7.36840 | − | 7.36840i | −0.434943 | − | 0.434943i | ||||
\(288\) | 1.53609 | − | 0.993000i | 0.0905151 | − | 0.0585131i | ||||
\(289\) | −11.3915 | + | 11.3915i | −0.670085 | + | 0.670085i | ||||
\(290\) | −23.9097 | + | 17.2608i | −1.40403 | + | 1.01359i | ||||
\(291\) | −6.50720 | − | 12.1741i | −0.381459 | − | 0.713659i | ||||
\(292\) | −0.692624 | + | 5.56245i | −0.0405328 | + | 0.325518i | ||||
\(293\) | 17.8853 | − | 14.6781i | 1.04487 | − | 0.857502i | 0.0548585 | − | 0.998494i | \(-0.482529\pi\) |
0.990011 | + | 0.140992i | \(0.0450292\pi\) | |||||||
\(294\) | −6.35123 | + | 12.9938i | −0.370411 | + | 0.757813i | ||||
\(295\) | −4.93194 | + | 24.7945i | −0.287149 | + | 1.44359i | ||||
\(296\) | 4.05495 | − | 21.5702i | 0.235689 | − | 1.25374i | ||||
\(297\) | −6.51668 | + | 1.29625i | −0.378136 | + | 0.0752160i | ||||
\(298\) | 7.99630 | + | 13.7384i | 0.463213 | + | 0.795845i | ||||
\(299\) | 1.34041 | − | 0.406610i | 0.0775180 | − | 0.0235148i | ||||
\(300\) | 2.36139 | + | 0.0607138i | 0.136335 | + | 0.00350531i | ||||
\(301\) | −8.27071 | − | 6.78759i | −0.476716 | − | 0.391230i | ||||
\(302\) | −8.83736 | − | 19.3238i | −0.508533 | − | 1.11196i | ||||
\(303\) | 11.5936 | + | 27.9894i | 0.666035 | + | 1.60795i | ||||
\(304\) | 5.25408 | + | 21.1842i | 0.301342 | + | 1.21500i | ||||
\(305\) | −3.65519 | + | 8.82442i | −0.209296 | + | 0.505285i | ||||
\(306\) | −0.431124 | + | 0.0156285i | −0.0246457 | + | 0.000893420i | ||||
\(307\) | −0.0743073 | + | 0.00731863i | −0.00424094 | + | 0.000417696i | −0.100137 | − | 0.994974i | \(-0.531928\pi\) |
0.0958964 | + | 0.995391i | \(0.469428\pi\) | |||||||
\(308\) | 2.71474 | − | 1.71467i | 0.154687 | − | 0.0977026i | ||||
\(309\) | −6.88559 | − | 3.68043i | −0.391708 | − | 0.209372i | ||||
\(310\) | −2.30248 | − | 1.75395i | −0.130772 | − | 0.0996178i | ||||
\(311\) | −10.7510 | + | 16.0900i | −0.609632 | + | 0.912379i | −0.999966 | − | 0.00829438i | \(-0.997360\pi\) |
0.390333 | + | 0.920674i | \(0.372360\pi\) | |||||||
\(312\) | −9.01024 | − | 16.4383i | −0.510104 | − | 0.930634i | ||||
\(313\) | −6.25455 | + | 4.17916i | −0.353528 | + | 0.236220i | −0.719634 | − | 0.694353i | \(-0.755691\pi\) |
0.366106 | + | 0.930573i | \(0.380691\pi\) | |||||||
\(314\) | 4.90002 | − | 4.32772i | 0.276524 | − | 0.244227i | ||||
\(315\) | 0.0779546 | − | 0.791486i | 0.00439224 | − | 0.0445952i | ||||
\(316\) | 0.851044 | + | 11.7229i | 0.0478749 | + | 0.659467i | ||||
\(317\) | −2.87784 | + | 9.48696i | −0.161636 | + | 0.532841i | −0.999923 | − | 0.0123871i | \(-0.996057\pi\) |
0.838288 | + | 0.545228i | \(0.183557\pi\) | |||||||
\(318\) | 23.1191 | + | 14.2641i | 1.29645 | + | 0.799890i | ||||
\(319\) | − | 13.6103i | − | 0.762033i | ||||||
\(320\) | 4.50731 | − | 16.0692i | 0.251966 | − | 0.898297i | ||||
\(321\) | − | 14.6476i | − | 0.817550i | ||||||
\(322\) | −0.337329 | + | 0.546739i | −0.0187986 | + | 0.0304686i | ||||
\(323\) | 1.49433 | − | 4.92615i | 0.0831469 | − | 0.274098i | ||||
\(324\) | −14.9255 | − | 12.9051i | −0.829193 | − | 0.716949i | ||||
\(325\) | 0.230868 | − | 2.34404i | 0.0128063 | − | 0.130024i | ||||
\(326\) | 0.363467 | + | 0.411533i | 0.0201306 | + | 0.0227927i | ||||
\(327\) | −10.5045 | + | 7.01888i | −0.580900 | + | 0.388145i | ||||
\(328\) | 15.6543 | − | 19.4897i | 0.864365 | − | 1.07614i | ||||
\(329\) | −5.89655 | + | 8.82480i | −0.325087 | + | 0.486527i | ||||
\(330\) | 4.43791 | − | 5.82583i | 0.244299 | − | 0.320701i | ||||
\(331\) | 25.7179 | + | 13.7465i | 1.41358 | + | 0.755575i | 0.988733 | − | 0.149690i | \(-0.0478274\pi\) |
0.424848 | + | 0.905265i | \(0.360327\pi\) | |||||||
\(332\) | 5.91312 | + | 1.33505i | 0.324525 | + | 0.0732706i | ||||
\(333\) | 2.49699 | − | 0.245932i | 0.136834 | − | 0.0134770i | ||||
\(334\) | −0.214244 | − | 5.91008i | −0.0117229 | − | 0.323385i | ||||
\(335\) | 12.4933 | − | 30.1615i | 0.682583 | − | 1.64790i | ||||
\(336\) | 8.08819 | + | 2.91522i | 0.441247 | + | 0.159038i | ||||
\(337\) | 10.6005 | + | 25.5919i | 0.577446 | + | 1.39408i | 0.895097 | + | 0.445871i | \(0.147106\pi\) |
−0.317651 | + | 0.948208i | \(0.602894\pi\) | |||||||
\(338\) | −0.279293 | + | 0.127729i | −0.0151915 | + | 0.00694756i | ||||
\(339\) | 18.1642 | + | 14.9069i | 0.986542 | + | 0.809634i | ||||
\(340\) | −2.85401 | + | 2.71093i | −0.154780 | + | 0.147021i | ||||
\(341\) | 1.27837 | − | 0.387789i | 0.0692275 | − | 0.0209999i | ||||
\(342\) | −2.15645 | + | 1.25514i | −0.116608 | + | 0.0678703i | ||||
\(343\) | −14.5818 | + | 2.90050i | −0.787342 | + | 0.156612i | ||||
\(344\) | 14.0344 | − | 21.4904i | 0.756684 | − | 1.15868i | ||||
\(345\) | −0.285863 | + | 1.43713i | −0.0153904 | + | 0.0773726i | ||||
\(346\) | −6.80164 | − | 3.32457i | −0.365659 | − | 0.178730i | ||||
\(347\) | 8.46328 | − | 6.94563i | 0.454332 | − | 0.372861i | −0.379215 | − | 0.925308i | \(-0.623806\pi\) |
0.833548 | + | 0.552447i | \(0.186306\pi\) | |||||||
\(348\) | 28.7557 | − | 22.3875i | 1.54147 | − | 1.20010i | ||||
\(349\) | −7.17745 | − | 13.4281i | −0.384200 | − | 0.718787i | 0.613270 | − | 0.789873i | \(-0.289854\pi\) |
−0.997470 | + | 0.0710857i | \(0.977354\pi\) | |||||||
\(350\) | 0.632312 | + | 0.875882i | 0.0337985 | + | 0.0468178i | ||||
\(351\) | −12.5440 | + | 12.5440i | −0.669547 | + | 0.669547i | ||||
\(352\) | 4.79567 | + | 6.02780i | 0.255610 | + | 0.321283i | ||||
\(353\) | 22.1735 | + | 22.1735i | 1.18018 | + | 1.18018i | 0.979698 | + | 0.200480i | \(0.0642502\pi\) |
0.200480 | + | 0.979698i | \(0.435750\pi\) | |||||||
\(354\) | 4.98091 | − | 30.8421i | 0.264732 | − | 1.63924i | ||||
\(355\) | −11.2418 | + | 6.00888i | −0.596654 | + | 0.318918i | ||||
\(356\) | 1.50374 | + | 5.45848i | 0.0796981 | + | 0.289299i | ||||
\(357\) | −1.28641 | − | 1.56750i | −0.0680841 | − | 0.0829607i | ||||
\(358\) | 11.3145 | − | 3.88510i | 0.597991 | − | 0.205334i | ||||
\(359\) | −10.7095 | − | 2.13026i | −0.565227 | − | 0.112431i | −0.0957978 | − | 0.995401i | \(-0.530540\pi\) |
−0.469429 | + | 0.882970i | \(0.655540\pi\) | |||||||
\(360\) | 1.90781 | − | 0.0200885i | 0.100550 | − | 0.00105876i | ||||
\(361\) | −2.10180 | − | 10.5664i | −0.110621 | − | 0.556129i | ||||
\(362\) | 6.45032 | + | 1.70412i | 0.339022 | + | 0.0895664i | ||||
\(363\) | −4.83989 | − | 15.9550i | −0.254029 | − | 0.837420i | ||||
\(364\) | 3.48317 | − | 7.83333i | 0.182568 | − | 0.410578i | ||||
\(365\) | −3.70925 | + | 4.51973i | −0.194151 | + | 0.236574i | ||||
\(366\) | 4.11910 | − | 11.0618i | 0.215309 | − | 0.578209i | ||||
\(367\) | 25.1511 | − | 10.4179i | 1.31287 | − | 0.543810i | 0.387152 | − | 0.922016i | \(-0.373459\pi\) |
0.925722 | + | 0.378205i | \(0.123459\pi\) | |||||||
\(368\) | −1.39165 | − | 0.662161i | −0.0725446 | − | 0.0345175i | ||||
\(369\) | 2.64023 | + | 1.09362i | 0.137445 | + | 0.0569316i | ||||
\(370\) | 15.5912 | − | 16.7641i | 0.810548 | − | 0.871524i | ||||
\(371\) | 1.21770 | + | 12.3635i | 0.0632198 | + | 0.641881i | ||||
\(372\) | 2.92209 | + | 2.06305i | 0.151503 | + | 0.106964i | ||||
\(373\) | −13.1882 | + | 24.6733i | −0.682858 | + | 1.27754i | 0.266650 | + | 0.963793i | \(0.414083\pi\) |
−0.949508 | + | 0.313743i | \(0.898417\pi\) | |||||||
\(374\) | −0.243454 | − | 1.80037i | −0.0125887 | − | 0.0930947i | ||||
\(375\) | 17.8595 | + | 11.9334i | 0.922262 | + | 0.616236i | ||||
\(376\) | −22.5799 | − | 11.7652i | −1.16447 | − | 0.606745i | ||||
\(377\) | −20.1885 | − | 30.2143i | −1.03976 | − | 1.55611i | ||||
\(378\) | 0.503634 | − | 8.12058i | 0.0259041 | − | 0.417677i | ||||
\(379\) | −11.9363 | − | 1.17562i | −0.613127 | − | 0.0603878i | −0.213313 | − | 0.976984i | \(-0.568425\pi\) |
−0.399814 | + | 0.916596i | \(0.630925\pi\) | |||||||
\(380\) | −7.16653 | + | 21.6091i | −0.367635 | + | 1.10852i | ||||
\(381\) | −28.4274 | − | 8.62336i | −1.45638 | − | 0.441788i | ||||
\(382\) | −0.0777773 | − | 0.328353i | −0.00397943 | − | 0.0168000i | ||||
\(383\) | 10.6122 | 0.542256 | 0.271128 | − | 0.962543i | \(-0.412603\pi\) | ||||
0.271128 | + | 0.962543i | \(0.412603\pi\) | |||||||
\(384\) | −4.84711 | + | 20.0473i | −0.247353 | + | 1.02303i | ||||
\(385\) | 3.34925 | 0.170694 | ||||||||
\(386\) | 1.08432 | + | 4.57767i | 0.0551902 | + | 0.232997i | ||||
\(387\) | 2.80789 | + | 0.851765i | 0.142733 | + | 0.0432977i | ||||
\(388\) | 14.3744 | + | 4.76720i | 0.729751 | + | 0.242018i | ||||
\(389\) | −28.0660 | − | 2.76426i | −1.42300 | − | 0.140153i | −0.642968 | − | 0.765893i | \(-0.722297\pi\) |
−0.780032 | + | 0.625739i | \(0.784797\pi\) | |||||||
\(390\) | 1.21037 | − | 19.5159i | 0.0612892 | − | 0.988226i | ||||
\(391\) | 0.201944 | + | 0.302231i | 0.0102128 | + | 0.0152845i | ||||
\(392\) | −4.76561 | − | 15.1346i | −0.240700 | − | 0.764412i | ||||
\(393\) | −8.02678 | − | 5.36332i | −0.404898 | − | 0.270544i | ||||
\(394\) | 0.115132 | + | 0.851415i | 0.00580028 | + | 0.0428937i | ||||
\(395\) | −5.77943 | + | 10.8126i | −0.290795 | + | 0.544038i | ||||
\(396\) | −0.507878 | + | 0.719355i | −0.0255218 | + | 0.0361489i | ||||
\(397\) | 1.07233 | + | 10.8876i | 0.0538189 | + | 0.546433i | 0.983855 | + | 0.178965i | \(0.0572750\pi\) |
−0.930036 | + | 0.367467i | \(0.880225\pi\) | |||||||
\(398\) | −13.7647 | + | 14.8002i | −0.689961 | + | 0.741865i | ||||
\(399\) | −10.8353 | − | 4.48815i | −0.542446 | − | 0.224688i | ||||
\(400\) | −1.92422 | + | 1.73589i | −0.0962110 | + | 0.0867943i | ||||
\(401\) | −3.18824 | + | 1.32061i | −0.159213 | + | 0.0659482i | −0.460867 | − | 0.887469i | \(-0.652461\pi\) |
0.301654 | + | 0.953418i | \(0.402461\pi\) | |||||||
\(402\) | −14.0789 | + | 37.8088i | −0.702193 | + | 1.88573i | ||||
\(403\) | 2.26270 | − | 2.75710i | 0.112713 | − | 0.137341i | ||||
\(404\) | −30.3699 | − | 13.5043i | −1.51096 | − | 0.671863i | ||||
\(405\) | −5.97438 | − | 19.6949i | −0.296869 | − | 0.978647i | ||||
\(406\) | 16.1134 | + | 4.25701i | 0.799693 | + | 0.211272i | ||||
\(407\) | 2.06138 | + | 10.3633i | 0.102179 | + | 0.513688i | ||||
\(408\) | 3.40333 | − | 3.47577i | 0.168490 | − | 0.172076i | ||||
\(409\) | −14.6696 | − | 2.91796i | −0.725363 | − | 0.144284i | −0.181420 | − | 0.983406i | \(-0.558069\pi\) |
−0.543943 | + | 0.839122i | \(0.683069\pi\) | |||||||
\(410\) | 24.6619 | − | 8.46822i | 1.21796 | − | 0.418216i | ||||
\(411\) | 10.4748 | + | 12.7636i | 0.516684 | + | 0.629581i | ||||
\(412\) | 8.25789 | − | 2.27494i | 0.406837 | − | 0.112078i | ||||
\(413\) | 12.6005 | − | 6.73509i | 0.620029 | − | 0.331412i | ||||
\(414\) | 0.0280891 | − | 0.173929i | 0.00138050 | − | 0.00854815i | ||||
\(415\) | 4.47115 | + | 4.47115i | 0.219480 | + | 0.219480i | ||||
\(416\) | 19.5873 | + | 6.26789i | 0.960347 | + | 0.307308i | ||||
\(417\) | 3.61184 | − | 3.61184i | 0.176872 | − | 0.176872i | ||||
\(418\) | −6.15036 | − | 8.51950i | −0.300824 | − | 0.416703i | ||||
\(419\) | 14.6707 | + | 27.4469i | 0.716709 | + | 1.34087i | 0.931332 | + | 0.364172i | \(0.118648\pi\) |
−0.214623 | + | 0.976697i | \(0.568852\pi\) | |||||||
\(420\) | 5.50915 | + | 7.07626i | 0.268819 | + | 0.345286i | ||||
\(421\) | −7.30207 | + | 5.99265i | −0.355881 | + | 0.292064i | −0.795297 | − | 0.606220i | \(-0.792685\pi\) |
0.439416 | + | 0.898284i | \(0.355185\pi\) | |||||||
\(422\) | −24.0739 | − | 11.7671i | −1.17190 | − | 0.572813i | ||||
\(423\) | 0.567849 | − | 2.85477i | 0.0276098 | − | 0.138804i | ||||
\(424\) | −29.1673 | + | 6.12169i | −1.41649 | + | 0.297295i | ||||
\(425\) | 0.599481 | − | 0.119244i | 0.0290791 | − | 0.00578419i | ||||
\(426\) | 13.6146 | − | 7.92425i | 0.659631 | − | 0.383931i | ||||
\(427\) | 5.16571 | − | 1.56700i | 0.249986 | − | 0.0758325i | ||||
\(428\) | 11.0672 | + | 11.6513i | 0.534954 | + | 0.563189i | ||||
\(429\) | 6.97613 | + | 5.72516i | 0.336811 | + | 0.276413i | ||||
\(430\) | 24.3477 | − | 11.1349i | 1.17415 | − | 0.536975i | ||||
\(431\) | −3.95806 | − | 9.55561i | −0.190653 | − | 0.460277i | 0.799430 | − | 0.600759i | \(-0.205135\pi\) |
−0.990083 | + | 0.140482i | \(0.955135\pi\) | |||||||
\(432\) | 19.4969 | − | 0.912416i | 0.938044 | − | 0.0438986i | ||||
\(433\) | 3.12852 | − | 7.55292i | 0.150347 | − | 0.362970i | −0.830705 | − | 0.556712i | \(-0.812063\pi\) |
0.981052 | + | 0.193742i | \(0.0620625\pi\) | |||||||
\(434\) | 0.0592609 | + | 1.63476i | 0.00284461 | + | 0.0784710i | ||||
\(435\) | 37.8302 | − | 3.72595i | 1.81382 | − | 0.178646i | ||||
\(436\) | 3.05251 | − | 13.5200i | 0.146189 | − | 0.647488i | ||||
\(437\) | 1.85408 | + | 0.991027i | 0.0886927 | + | 0.0474073i | ||||
\(438\) | 4.37858 | − | 5.74793i | 0.209217 | − | 0.274647i | ||||
\(439\) | 7.09036 | − | 10.6115i | 0.338405 | − | 0.506458i | −0.622768 | − | 0.782407i | \(-0.713992\pi\) |
0.961172 | + | 0.275948i | \(0.0889919\pi\) | |||||||
\(440\) | 0.871681 | + | 7.98724i | 0.0415558 | + | 0.380777i | ||||
\(441\) | 1.50822 | − | 1.00776i | 0.0718199 | − | 0.0479885i | ||||
\(442\) | −3.21098 | − | 3.63560i | −0.152731 | − | 0.172928i | ||||
\(443\) | −1.19222 | + | 12.1048i | −0.0566441 | + | 0.575117i | 0.924412 | + | 0.381395i | \(0.124556\pi\) |
−0.981056 | + | 0.193722i | \(0.937944\pi\) | |||||||
\(444\) | −18.5046 | + | 21.4017i | −0.878190 | + | 1.01568i | ||||
\(445\) | −1.71436 | + | 5.65148i | −0.0812683 | + | 0.267906i | ||||
\(446\) | −7.80876 | + | 12.6564i | −0.369756 | + | 0.599296i | ||||
\(447\) | − | 20.4909i | − | 0.969188i | ||||||
\(448\) | −8.63632 | + | 3.79226i | −0.408028 | + | 0.179167i | ||||
\(449\) | − | 30.9365i | − | 1.45998i | −0.683457 | − | 0.729991i | \(-0.739524\pi\) | ||
0.683457 | − | 0.729991i | \(-0.260476\pi\) | |||||||
\(450\) | −0.252131 | − | 0.155561i | −0.0118856 | − | 0.00733321i | ||||
\(451\) | −3.49349 | + | 11.5165i | −0.164502 | + | 0.542290i | ||||
\(452\) | −25.7117 | + | 1.86658i | −1.20938 | + | 0.0877966i | ||||
\(453\) | −2.68477 | + | 27.2589i | −0.126141 | + | 1.28073i | ||||
\(454\) | −17.4787 | + | 15.4373i | −0.820315 | + | 0.724506i | ||||
\(455\) | 7.43518 | − | 4.96803i | 0.348566 | − | 0.232905i | ||||
\(456\) | 7.88323 | − | 27.0080i | 0.369166 | − | 1.26477i | ||||
\(457\) | 17.7961 | − | 26.6338i | 0.832468 | − | 1.24588i | −0.134484 | − | 0.990916i | \(-0.542938\pi\) |
0.966952 | − | 0.254960i | \(-0.0820624\pi\) | |||||||
\(458\) | −2.97370 | − | 2.26526i | −0.138952 | − | 0.105849i | ||||
\(459\) | −4.05993 | − | 2.17008i | −0.189501 | − | 0.101291i | ||||
\(460\) | −0.858458 | − | 1.35914i | −0.0400258 | − | 0.0633704i | ||||
\(461\) | −10.3449 | + | 1.01889i | −0.481812 | + | 0.0474544i | −0.336008 | − | 0.941859i | \(-0.609077\pi\) |
−0.145804 | + | 0.989313i | \(0.546577\pi\) | |||||||
\(462\) | −4.13633 | + | 0.149944i | −0.192439 | + | 0.00697603i | ||||
\(463\) | 1.84127 | − | 4.44522i | 0.0855710 | − | 0.206587i | −0.875302 | − | 0.483577i | \(-0.839337\pi\) |
0.960873 | + | 0.276991i | \(0.0893371\pi\) | |||||||
\(464\) | −5.95835 | + | 39.5348i | −0.276609 | + | 1.83536i | ||||
\(465\) | 1.42783 | + | 3.44709i | 0.0662140 | + | 0.159855i | ||||
\(466\) | 3.70618 | + | 8.10394i | 0.171686 | + | 0.375408i | ||||
\(467\) | −20.9463 | − | 17.1901i | −0.969277 | − | 0.795465i | 0.00959173 | − | 0.999954i | \(-0.496947\pi\) |
−0.978869 | + | 0.204489i | \(0.934447\pi\) | |||||||
\(468\) | −0.0604282 | + | 2.35028i | −0.00279330 | + | 0.108642i | ||||
\(469\) | −17.6562 | + | 5.35595i | −0.815288 | + | 0.247315i | ||||
\(470\) | −13.3598 | − | 22.9533i | −0.616239 | − | 1.05876i | ||||
\(471\) | −8.26533 | + | 1.64408i | −0.380847 | + | 0.0757551i | ||||
\(472\) | 19.3411 | + | 28.2965i | 0.890248 | + | 1.30245i | ||||
\(473\) | −2.41068 | + | 12.1193i | −0.110843 | + | 0.557247i | ||||
\(474\) | 6.65352 | − | 13.6122i | 0.305606 | − | 0.625231i | ||||
\(475\) | 2.73271 | − | 2.24267i | 0.125385 | − | 0.102901i | ||||
\(476\) | 2.20761 | + | 0.274887i | 0.101186 | + | 0.0125994i | ||||
\(477\) | −1.60606 | − | 3.00473i | −0.0735366 | − | 0.137577i | ||||
\(478\) | 17.2704 | − | 12.4678i | 0.789932 | − | 0.570264i | ||||
\(479\) | 2.42304 | − | 2.42304i | 0.110712 | − | 0.110712i | −0.649581 | − | 0.760293i | \(-0.725056\pi\) |
0.760293 | + | 0.649581i | \(0.225056\pi\) | |||||||
\(480\) | −15.4415 | + | 14.9798i | −0.704806 | + | 0.683731i | ||||
\(481\) | 19.9482 | + | 19.9482i | 0.909561 | + | 0.909561i | ||||
\(482\) | 38.4700 | + | 6.21280i | 1.75226 | + | 0.282985i | ||||
\(483\) | 0.730343 | − | 0.390377i | 0.0332318 | − | 0.0177628i | ||||
\(484\) | 15.9049 | + | 9.03443i | 0.722949 | + | 0.410656i | ||||
\(485\) | 10.0214 | + | 12.2111i | 0.455049 | + | 0.554479i | ||||
\(486\) | 1.53682 | + | 4.47565i | 0.0697115 | + | 0.203020i | ||||
\(487\) | −14.8885 | − | 2.96150i | −0.674660 | − | 0.134198i | −0.154142 | − | 0.988049i | \(-0.549261\pi\) |
−0.520519 | + | 0.853850i | \(0.674261\pi\) | |||||||
\(488\) | 5.08139 | + | 11.9113i | 0.230024 | + | 0.539198i | ||||
\(489\) | −0.138079 | − | 0.694172i | −0.00624416 | − | 0.0313915i | ||||
\(490\) | 4.22753 | − | 16.0018i | 0.190980 | − | 0.722888i | ||||
\(491\) | 0.450665 | + | 1.48564i | 0.0203382 | + | 0.0670462i | 0.966522 | − | 0.256583i | \(-0.0825968\pi\) |
−0.946184 | + | 0.323630i | \(0.895097\pi\) | |||||||
\(492\) | −30.0783 | + | 11.5624i | −1.35603 | + | 0.521271i | ||||
\(493\) | 5.98224 | − | 7.28938i | 0.269426 | − | 0.328297i | ||||
\(494\) | −26.2907 | − | 9.78990i | −1.18287 | − | 0.440468i | ||||
\(495\) | −0.848598 | + | 0.351501i | −0.0381416 | + | 0.0157988i | ||||
\(496\) | −3.88312 | + | 0.566789i | −0.174357 | + | 0.0254496i | ||||
\(497\) | 6.65575 | + | 2.75690i | 0.298551 | + | 0.123664i | ||||
\(498\) | −5.72203 | − | 5.32169i | −0.256411 | − | 0.238471i | ||||
\(499\) | 4.05146 | + | 41.1351i | 0.181368 | + | 1.84146i | 0.468371 | + | 0.883532i | \(0.344841\pi\) |
−0.287002 | + | 0.957930i | \(0.592659\pi\) | |||||||
\(500\) | −23.2226 | + | 4.00173i | −1.03855 | + | 0.178963i | ||||
\(501\) | −3.59366 | + | 6.72327i | −0.160553 | + | 0.300374i | ||||
\(502\) | −20.3158 | + | 2.74720i | −0.906740 | + | 0.122614i | ||||
\(503\) | −32.7820 | − | 21.9042i | −1.46168 | − | 0.976661i | −0.995775 | − | 0.0918237i | \(-0.970730\pi\) |
−0.465901 | − | 0.884837i | \(-0.654270\pi\) | |||||||
\(504\) | −0.692796 | − | 0.826278i | −0.0308596 | − | 0.0368053i | ||||
\(505\) | −19.2611 | − | 28.8263i | −0.857107 | − | 1.28275i | ||||
\(506\) | 0.740522 | + | 0.0459268i | 0.0329202 | + | 0.00204169i | ||||
\(507\) | 0.393982 | + | 0.0388039i | 0.0174974 | + | 0.00172334i | ||||
\(508\) | 29.1279 | − | 14.6194i | 1.29234 | − | 0.648629i | ||||
\(509\) | −17.9733 | − | 5.45214i | −0.796653 | − | 0.241662i | −0.134385 | − | 0.990929i | \(-0.542906\pi\) |
−0.662268 | + | 0.749267i | \(0.730406\pi\) | |||||||
\(510\) | 4.93750 | − | 1.16955i | 0.218636 | − | 0.0517886i | ||||
\(511\) | 3.30447 | 0.146181 | ||||||||
\(512\) | −11.2914 | − | 19.6088i | −0.499015 | − | 0.866593i | ||||
\(513\) | −26.6253 | −1.17554 | ||||||||
\(514\) | 21.6184 | − | 5.12078i | 0.953549 | − | 0.225868i | ||||
\(515\) | 8.54987 | + | 2.59357i | 0.376752 | + | 0.114286i | ||||
\(516\) | −29.5708 | + | 14.8417i | −1.30178 | + | 0.653369i | ||||
\(517\) | 12.1986 | + | 1.20146i | 0.536493 | + | 0.0528400i | ||||
\(518\) | −12.9139 | − | 0.800911i | −0.567403 | − | 0.0351900i | ||||
\(519\) | 5.42183 | + | 8.11435i | 0.237992 | + | 0.356180i | ||||
\(520\) | 13.7828 | + | 16.4383i | 0.604414 | + | 0.720867i | ||||
\(521\) | 17.0881 | + | 11.4179i | 0.748645 | + | 0.500228i | 0.870408 | − | 0.492331i | \(-0.163855\pi\) |
−0.121764 | + | 0.992559i | \(0.538855\pi\) | |||||||
\(522\) | −4.52940 | + | 0.612487i | −0.198246 | + | 0.0268078i | ||||
\(523\) | 6.16241 | − | 11.5291i | 0.269463 | − | 0.504131i | −0.710400 | − | 0.703798i | \(-0.751486\pi\) |
0.979864 | + | 0.199667i | \(0.0639861\pi\) | |||||||
\(524\) | 10.4372 | − | 1.79854i | 0.455951 | − | 0.0785694i | ||||
\(525\) | −0.136492 | − | 1.38583i | −0.00595701 | − | 0.0604825i | ||||
\(526\) | 12.1219 | + | 11.2738i | 0.528539 | + | 0.491560i | ||||
\(527\) | 0.855111 | + | 0.354198i | 0.0372492 | + | 0.0154291i | ||||
\(528\) | −1.43411 | − | 9.82522i | −0.0624116 | − | 0.427588i | ||||
\(529\) | 21.1121 | − | 8.74491i | 0.917917 | − | 0.380214i | ||||
\(530\) | −29.1327 | − | 10.8482i | −1.26544 | − | 0.471216i | ||||
\(531\) | −2.48573 | + | 3.02887i | −0.107872 | + | 0.131442i | ||||
\(532\) | 12.0100 | − | 4.61674i | 0.520699 | − | 0.200161i | ||||
\(533\) | 9.32730 | + | 30.7480i | 0.404010 | + | 1.33184i | ||||
\(534\) | 1.86422 | − | 7.05632i | 0.0806726 | − | 0.305357i | ||||
\(535\) | 3.27013 | + | 16.4401i | 0.141380 | + | 0.710767i | ||||
\(536\) | −17.3680 | − | 40.7123i | −0.750184 | − | 1.75850i | ||||
\(537\) | −15.1246 | − | 3.00848i | −0.652676 | − | 0.129825i | ||||
\(538\) | 4.28006 | + | 12.4647i | 0.184526 | + | 0.537393i | ||||
\(539\) | 4.84602 | + | 5.90489i | 0.208733 | + | 0.254342i | ||||
\(540\) | 17.7026 | + | 10.0556i | 0.761799 | + | 0.432724i | ||||
\(541\) | 21.8559 | − | 11.6822i | 0.939657 | − | 0.502257i | 0.0708936 | − | 0.997484i | \(-0.477415\pi\) |
0.868764 | + | 0.495227i | \(0.164915\pi\) | |||||||
\(542\) | −25.7925 | − | 4.16542i | −1.10788 | − | 0.178920i | ||||
\(543\) | −6.08121 | − | 6.08121i | −0.260970 | − | 0.260970i | ||||
\(544\) | −0.0809897 | + | 5.33622i | −0.00347240 | + | 0.228788i | ||||
\(545\) | 10.2230 | − | 10.2230i | 0.437904 | − | 0.437904i | ||||
\(546\) | −8.96003 | + | 6.46838i | −0.383454 | + | 0.276821i | ||||
\(547\) | 15.7202 | + | 29.4105i | 0.672148 | + | 1.25750i | 0.954506 | + | 0.298191i | \(0.0963833\pi\) |
−0.282358 | + | 0.959309i | \(0.591117\pi\) | |||||||
\(548\) | −17.9758 | − | 2.23831i | −0.767889 | − | 0.0956159i | ||||
\(549\) | −1.14438 | + | 0.939166i | −0.0488408 | + | 0.0400826i | ||||
\(550\) | 0.547875 | − | 1.12088i | 0.0233615 | − | 0.0477945i | ||||
\(551\) | 10.6401 | − | 53.4916i | 0.453285 | − | 2.27882i | ||||
\(552\) | 1.12104 | + | 1.64011i | 0.0477148 | + | 0.0698077i | ||||
\(553\) | 6.79590 | − | 1.35179i | 0.288991 | − | 0.0574839i | ||||
\(554\) | 19.3421 | + | 33.2317i | 0.821769 | + | 1.41188i | ||||
\(555\) | −28.2405 | + | 8.56668i | −1.19874 | + | 0.363635i | ||||
\(556\) | −0.144033 | + | 5.60199i | −0.00610837 | + | 0.237577i | ||||
\(557\) | −18.3691 | − | 15.0751i | −0.778323 | − | 0.638753i | 0.158975 | − | 0.987283i | \(-0.449181\pi\) |
−0.937298 | + | 0.348529i | \(0.886681\pi\) | |||||||
\(558\) | −0.186581 | − | 0.407978i | −0.00789861 | − | 0.0172711i | ||||
\(559\) | 12.6253 | + | 30.4801i | 0.533992 | + | 1.28917i | ||||
\(560\) | −9.72879 | − | 1.46624i | −0.411116 | − | 0.0619599i | ||||
\(561\) | −0.896206 | + | 2.16363i | −0.0378379 | + | 0.0913487i | ||||
\(562\) | 40.1483 | − | 1.45540i | 1.69355 | − | 0.0613923i | ||||
\(563\) | −29.5880 | + | 2.91417i | −1.24699 | + | 0.122818i | −0.699889 | − | 0.714251i | \(-0.746767\pi\) |
−0.547098 | + | 0.837069i | \(0.684267\pi\) | |||||||
\(564\) | 17.5269 | + | 27.7493i | 0.738016 | + | 1.16846i | ||||
\(565\) | −23.7150 | − | 12.6759i | −0.997697 | − | 0.533280i | ||||
\(566\) | −32.9772 | − | 25.1209i | −1.38613 | − | 1.05591i | ||||
\(567\) | −6.46223 | + | 9.67141i | −0.271388 | + | 0.406161i | ||||
\(568\) | −4.84237 | + | 16.5900i | −0.203181 | + | 0.696102i | ||||
\(569\) | 0.110146 | − | 0.0735969i | 0.00461754 | − | 0.00308534i | −0.553259 | − | 0.833009i | \(-0.686616\pi\) |
0.557877 | + | 0.829924i | \(0.311616\pi\) | |||||||
\(570\) | 21.9964 | − | 19.4273i | 0.921328 | − | 0.813721i | ||||
\(571\) | 0.193840 | − | 1.96809i | 0.00811197 | − | 0.0823622i | −0.990276 | − | 0.139114i | \(-0.955574\pi\) |
0.998388 | + | 0.0567521i | \(0.0180745\pi\) | |||||||
\(572\) | −9.87484 | + | 0.716878i | −0.412888 | + | 0.0299742i | ||||
\(573\) | −0.126268 | + | 0.416249i | −0.00527491 | + | 0.0173890i | ||||
\(574\) | −12.5418 | − | 7.73806i | −0.523483 | − | 0.322980i | ||||
\(575\) | 0.249619i | 0.0104098i | ||||||||
\(576\) | 1.79018 | − | 1.86721i | 0.0745910 | − | 0.0778006i | ||||
\(577\) | − | 25.9992i | − | 1.08236i | −0.840907 | − | 0.541180i | \(-0.817978\pi\) | ||
0.840907 | − | 0.541180i | \(-0.182022\pi\) | |||||||
\(578\) | −11.9629 | + | 19.3894i | −0.497593 | + | 0.806493i | ||||
\(579\) | 1.76033 | − | 5.80304i | 0.0731570 | − | 0.241166i | ||||
\(580\) | −27.2766 | + | 31.5469i | −1.13260 | + | 1.30992i | ||||
\(581\) | 0.350276 | − | 3.55641i | 0.0145319 | − | 0.147545i | ||||
\(582\) | −12.9231 | − | 14.6321i | −0.535681 | − | 0.606519i | ||||
\(583\) | 11.9297 | − | 7.97120i | 0.494080 | − | 0.330133i | ||||
\(584\) | 0.860027 | + | 7.88045i | 0.0355882 | + | 0.326095i | ||||
\(585\) | −1.36246 | + | 2.03906i | −0.0563306 | + | 0.0843047i | ||||
\(586\) | 19.8280 | − | 26.0290i | 0.819087 | − | 1.07525i | ||||
\(587\) | 9.48771 | + | 5.07129i | 0.391600 | + | 0.209314i | 0.655432 | − | 0.755254i | \(-0.272487\pi\) |
−0.263832 | + | 0.964569i | \(0.584987\pi\) | |||||||
\(588\) | −4.50461 | + | 19.9515i | −0.185767 | + | 0.822785i | ||||
\(589\) | 5.32742 | − | 0.524705i | 0.219513 | − | 0.0216201i | ||||
\(590\) | 1.29517 | + | 35.7283i | 0.0533213 | + | 1.47091i | ||||
\(591\) | 0.423827 | − | 1.02321i | 0.0174339 | − | 0.0420892i | ||||
\(592\) | −1.45098 | − | 31.0052i | −0.0596351 | − | 1.27431i | ||||
\(593\) | −3.52492 | − | 8.50992i | −0.144751 | − | 0.349460i | 0.834830 | − | 0.550507i | \(-0.185566\pi\) |
−0.979582 | + | 0.201047i | \(0.935566\pi\) | |||||||
\(594\) | −8.54530 | + | 3.90803i | −0.350618 | + | 0.160348i | ||||
\(595\) | 1.79378 | + | 1.47212i | 0.0735379 | + | 0.0603510i | ||||
\(596\) | 15.4822 | + | 16.2994i | 0.634177 | + | 0.667648i | ||||
\(597\) | 24.9321 | − | 7.56308i | 1.02040 | − | 0.309536i | ||||
\(598\) | 1.71205 | − | 0.996479i | 0.0700108 | − | 0.0407490i | ||||
\(599\) | 28.5435 | − | 5.67766i | 1.16626 | − | 0.231983i | 0.426264 | − | 0.904599i | \(-0.359829\pi\) |
0.739992 | + | 0.672616i | \(0.234829\pi\) | |||||||
\(600\) | 3.26937 | − | 0.686182i | 0.133472 | − | 0.0280132i | ||||
\(601\) | −4.44079 | + | 22.3253i | −0.181144 | + | 0.910670i | 0.778111 | + | 0.628127i | \(0.216178\pi\) |
−0.959255 | + | 0.282543i | \(0.908822\pi\) | |||||||
\(602\) | −13.5941 | − | 6.64467i | −0.554055 | − | 0.270817i | ||||
\(603\) | 3.91144 | − | 3.21003i | 0.159286 | − | 0.130723i | ||||
\(604\) | −18.4603 | − | 23.7114i | −0.751138 | − | 0.964803i | ||||
\(605\) | 8.99417 | + | 16.8269i | 0.365665 | + | 0.684111i | ||||
\(606\) | 25.0780 | + | 34.7381i | 1.01872 | + | 1.41114i | ||||
\(607\) | 33.5917 | − | 33.5917i | 1.36345 | − | 1.36345i | 0.493961 | − | 0.869484i | \(-0.335548\pi\) |
0.869484 | − | 0.493961i | \(-0.164452\pi\) | |||||||
\(608\) | 14.1357 | + | 27.4396i | 0.573277 | + | 1.11282i | ||||
\(609\) | −15.1913 | − | 15.1913i | −0.615582 | − | 0.615582i | ||||
\(610\) | −2.15358 | + | 13.3351i | −0.0871957 | + | 0.539921i | ||||
\(611\) | 28.8624 | − | 15.4273i | 1.16765 | − | 0.624121i | ||||
\(612\) | −0.588190 | + | 0.162039i | −0.0237762 | + | 0.00655002i | ||||
\(613\) | 3.37561 | + | 4.11319i | 0.136339 | + | 0.166130i | 0.836704 | − | 0.547655i | \(-0.184479\pi\) |
−0.700365 | + | 0.713785i | \(0.746979\pi\) | |||||||
\(614\) | −0.0998712 | + | 0.0342931i | −0.00403047 | + | 0.00138396i | ||||
\(615\) | −32.9667 | − | 6.55748i | −1.32934 | − | 0.264423i | ||||
\(616\) | 3.17692 | − | 3.24454i | 0.128002 | − | 0.130726i | ||||
\(617\) | 0.223345 | + | 1.12283i | 0.00899152 | + | 0.0452034i | 0.985021 | − | 0.172437i | \(-0.0551641\pi\) |
−0.976029 | + | 0.217640i | \(0.930164\pi\) | |||||||
\(618\) | −10.6752 | − | 2.82029i | −0.429419 | − | 0.113449i | ||||
\(619\) | −12.0380 | − | 39.6841i | −0.483850 | − | 1.59504i | −0.770789 | − | 0.637090i | \(-0.780138\pi\) |
0.286939 | − | 0.957949i | \(-0.407362\pi\) | |||||||
\(620\) | −3.74025 | − | 1.66314i | −0.150212 | − | 0.0667934i | ||||
\(621\) | 1.19268 | − | 1.45328i | 0.0478605 | − | 0.0583182i | ||||
\(622\) | −9.55001 | + | 25.6464i | −0.382920 | + | 1.02833i | ||||
\(623\) | 3.08366 | − | 1.27730i | 0.123544 | − | 0.0511738i | ||||
\(624\) | −17.7576 | − | 19.6842i | −0.710874 | − | 0.788000i | ||||
\(625\) | −19.7164 | − | 8.16680i | −0.788656 | − | 0.326672i | ||||
\(626\) | −7.24484 | + | 7.78985i | −0.289562 | + | 0.311345i | ||||
\(627\) | 1.32763 | + | 13.4796i | 0.0530204 | + | 0.538325i | ||||
\(628\) | 5.33239 | − | 7.55276i | 0.212786 | − | 0.301388i | ||||
\(629\) | −3.45100 | + | 6.45637i | −0.137600 | + | 0.257432i | ||||
\(630\) | −0.150722 | − | 1.11460i | −0.00600490 | − | 0.0444068i | ||||
\(631\) | −9.92670 | − | 6.63281i | −0.395176 | − | 0.264048i | 0.342067 | − | 0.939675i | \(-0.388873\pi\) |
−0.737243 | + | 0.675627i | \(0.763873\pi\) | |||||||
\(632\) | 4.99243 | + | 15.8549i | 0.198588 | + | 0.630675i | ||||
\(633\) | 19.1902 | + | 28.7202i | 0.762742 | + | 1.14152i | ||||
\(634\) | −0.867864 | + | 13.9934i | −0.0344673 | + | 0.555750i | ||||
\(635\) | 33.8313 | + | 3.33210i | 1.34256 | + | 0.132230i | ||||
\(636\) | 36.4646 | + | 12.0933i | 1.44591 | + | 0.479529i | ||||
\(637\) | 19.5168 | + | 5.92035i | 0.773283 | + | 0.234573i | ||||
\(638\) | −4.43651 | − | 18.7297i | −0.175643 | − | 0.741514i | ||||
\(639\) | −1.97569 | −0.0781573 | ||||||||
\(640\) | 0.964634 | − | 23.5826i | 0.0381305 | − | 0.932186i | ||||
\(641\) | 23.3499 | 0.922266 | 0.461133 | − | 0.887331i | \(-0.347443\pi\) | ||||
0.461133 | + | 0.887331i | \(0.347443\pi\) | |||||||
\(642\) | −4.77463 | − | 20.1571i | −0.188440 | − | 0.795537i | ||||
\(643\) | 6.27397 | + | 1.90319i | 0.247421 | + | 0.0750544i | 0.411559 | − | 0.911383i | \(-0.364984\pi\) |
−0.164138 | + | 0.986437i | \(0.552484\pi\) | |||||||
\(644\) | −0.285992 | + | 0.862344i | −0.0112696 | + | 0.0339811i | ||||
\(645\) | −34.3458 | − | 3.38277i | −1.35237 | − | 0.133196i | ||||
\(646\) | 0.450642 | − | 7.26615i | 0.0177303 | − | 0.285883i | ||||
\(647\) | 1.35818 | + | 2.03267i | 0.0533957 | + | 0.0799124i | 0.857207 | − | 0.514972i | \(-0.172198\pi\) |
−0.803811 | + | 0.594885i | \(0.797198\pi\) | |||||||
\(648\) | −24.7461 | − | 12.8939i | −0.972118 | − | 0.506521i | ||||
\(649\) | −13.7199 | − | 9.16733i | −0.538553 | − | 0.359849i | ||||
\(650\) | −0.446373 | − | 3.30097i | −0.0175082 | − | 0.129475i | ||||
\(651\) | 0.994027 | − | 1.85969i | 0.0389590 | − | 0.0728871i | ||||
\(652\) | 0.634326 | + | 0.447846i | 0.0248421 | + | 0.0175390i | ||||
\(653\) | −3.52444 | − | 35.7843i | −0.137922 | − | 1.40035i | −0.776174 | − | 0.630519i | \(-0.782842\pi\) |
0.638251 | − | 0.769828i | \(-0.279658\pi\) | |||||||
\(654\) | −12.1677 | + | 13.0830i | −0.475794 | + | 0.511587i | ||||
\(655\) | 10.2064 | + | 4.22764i | 0.398798 | + | 0.165187i | ||||
\(656\) | 15.1895 | − | 31.9233i | 0.593048 | − | 1.24639i | ||||
\(657\) | −0.837252 | + | 0.346801i | −0.0326643 | + | 0.0135300i | ||||
\(658\) | −5.23785 | + | 14.0662i | −0.204193 | + | 0.548357i | ||||
\(659\) | 18.6662 | − | 22.7449i | 0.727134 | − | 0.886015i | −0.269908 | − | 0.962886i | \(-0.586993\pi\) |
0.997041 | + | 0.0768715i | \(0.0244931\pi\) | |||||||
\(660\) | 4.20814 | − | 9.46373i | 0.163802 | − | 0.368375i | ||||
\(661\) | −12.0772 | − | 39.8132i | −0.469748 | − | 1.54855i | −0.797218 | − | 0.603691i | \(-0.793696\pi\) |
0.327470 | − | 0.944862i | \(-0.393804\pi\) | |||||||
\(662\) | 39.8721 | + | 10.5339i | 1.54967 | + | 0.409410i | ||||
\(663\) | 1.21983 | + | 6.13252i | 0.0473744 | + | 0.238167i | ||||
\(664\) | 8.57244 | − | 0.0902645i | 0.332675 | − | 0.00350294i | ||||
\(665\) | 13.1633 | + | 2.61834i | 0.510450 | + | 0.101535i | ||||
\(666\) | 3.35603 | − | 1.15237i | 0.130044 | − | 0.0446535i | ||||
\(667\) | 2.44309 | + | 2.97691i | 0.0945969 | + | 0.115267i | ||||
\(668\) | −2.22131 | − | 8.06323i | −0.0859452 | − | 0.311976i | ||||
\(669\) | 16.9066 | − | 9.03676i | 0.653646 | − | 0.349381i | ||||
\(670\) | 7.36084 | − | 45.5787i | 0.284374 | − | 1.76086i | ||||
\(671\) | −4.40836 | − | 4.40836i | −0.170183 | − | 0.170183i | ||||
\(672\) | 12.0807 | + | 1.37525i | 0.466023 | + | 0.0530515i | ||||
\(673\) | −7.67793 | + | 7.67793i | −0.295963 | + | 0.295963i | −0.839430 | − | 0.543468i | \(-0.817111\pi\) |
0.543468 | + | 0.839430i | \(0.317111\pi\) | |||||||
\(674\) | 22.9298 | + | 31.7625i | 0.883223 | + | 1.22344i | ||||
\(675\) | −1.49025 | − | 2.78807i | −0.0573598 | − | 0.107313i | ||||
\(676\) | −0.342709 | + | 0.266813i | −0.0131811 | + | 0.0102620i | ||||
\(677\) | −8.10857 | + | 6.65453i | −0.311638 | + | 0.255755i | −0.777190 | − | 0.629266i | \(-0.783356\pi\) |
0.465552 | + | 0.885020i | \(0.345856\pi\) | |||||||
\(678\) | 29.8555 | + | 14.5931i | 1.14659 | + | 0.560443i | ||||
\(679\) | 1.74173 | − | 8.75627i | 0.0668415 | − | 0.336035i | ||||
\(680\) | −3.04383 | + | 4.66091i | −0.116726 | + | 0.178738i | ||||
\(681\) | 29.4830 | − | 5.86453i | 1.12979 | − | 0.224729i | ||||
\(682\) | 1.63280 | − | 0.950354i | 0.0625232 | − | 0.0363909i | ||||
\(683\) | −26.3643 | + | 7.99751i | −1.00880 | + | 0.306016i | −0.751086 | − | 0.660205i | \(-0.770470\pi\) |
−0.257715 | + | 0.966221i | \(0.582970\pi\) | |||||||
\(684\) | −2.55844 | + | 2.43018i | −0.0978243 | + | 0.0929201i | ||||
\(685\) | −14.6061 | − | 11.9870i | −0.558072 | − | 0.457998i | ||||
\(686\) | −19.1210 | + | 8.74464i | −0.730044 | + | 0.333872i | ||||
\(687\) | 1.84407 | + | 4.45198i | 0.0703556 | + | 0.169853i | ||||
\(688\) | 12.3081 | − | 34.1484i | 0.469241 | − | 1.30190i | ||||
\(689\) | 14.6596 | − | 35.3913i | 0.558485 | − | 1.34830i | ||||
\(690\) | 0.0750701 | + | 2.07087i | 0.00285787 | + | 0.0788366i | ||||
\(691\) | 33.0875 | − | 3.25883i | 1.25871 | − | 0.123972i | 0.553425 | − | 0.832899i | \(-0.313320\pi\) |
0.705282 | + | 0.708927i | \(0.250820\pi\) | |||||||
\(692\) | −10.4437 | − | 2.35795i | −0.397009 | − | 0.0896359i | ||||
\(693\) | 0.457816 | + | 0.244708i | 0.0173910 | + | 0.00929568i | ||||
\(694\) | 9.38256 | − | 12.3169i | 0.356157 | − | 0.467542i | ||||
\(695\) | −3.24747 | + | 4.86018i | −0.123184 | + | 0.184357i | ||||
\(696\) | 32.2742 | − | 40.1816i | 1.22335 | − | 1.52308i | ||||
\(697\) | −6.93294 | + | 4.63244i | −0.262604 | + | 0.175466i | ||||
\(698\) | −14.2542 | − | 16.1392i | −0.539530 | − | 0.610878i | ||||
\(699\) | 1.12593 | − | 11.4318i | 0.0425866 | − | 0.432389i | ||||
\(700\) | 1.15565 | + | 0.999218i | 0.0436796 | + | 0.0377669i | ||||
\(701\) | −9.40282 | + | 30.9969i | −0.355140 | + | 1.17074i | 0.579449 | + | 0.815008i | \(0.303268\pi\) |
−0.934589 | + | 0.355730i | \(0.884232\pi\) | |||||||
\(702\) | −13.1733 | + | 21.3511i | −0.497193 | + | 0.805844i | ||||
\(703\) | 42.3413i | 1.59693i | ||||||||
\(704\) | 8.56434 | + | 6.73184i | 0.322781 | + | 0.253716i | ||||
\(705\) | 34.2351i | 1.28937i | ||||||||
\(706\) | 37.7416 | + | 23.2859i | 1.42042 | + | 0.876378i | ||||
\(707\) | −5.68775 | + | 18.7500i | −0.213910 | + | 0.705167i | ||||
\(708\) | −3.19907 | − | 44.0664i | −0.120228 | − | 1.65612i | ||||
\(709\) | −3.88184 | + | 39.4130i | −0.145786 | + | 1.48019i | 0.592430 | + | 0.805622i | \(0.298169\pi\) |
−0.738216 | + | 0.674564i | \(0.764331\pi\) | |||||||
\(710\) | −13.5116 | + | 11.9335i | −0.507080 | + | 0.447855i | ||||
\(711\) | −1.58000 | + | 1.05572i | −0.0592547 | + | 0.0395927i | ||||
\(712\) | 3.84863 | + | 7.02144i | 0.144234 | + | 0.263140i | ||||
\(713\) | −0.210001 | + | 0.314289i | −0.00786461 | + | 0.0117702i | ||||
\(714\) | −2.28123 | − | 1.73776i | −0.0853727 | − | 0.0650340i | ||||
\(715\) | −9.10797 | − | 4.86831i | −0.340619 | − | 0.182065i | ||||
\(716\) | 14.3039 | − | 9.03457i | 0.534561 | − | 0.337638i | ||||
\(717\) | −27.3255 | + | 2.69132i | −1.02049 | + | 0.100509i | ||||
\(718\) | −15.4321 | + | 0.559423i | −0.575922 | + | 0.0208775i | ||||
\(719\) | −14.5874 | + | 35.2171i | −0.544018 | + | 1.31338i | 0.377848 | + | 0.925868i | \(0.376664\pi\) |
−0.921866 | + | 0.387509i | \(0.873336\pi\) | |||||||
\(720\) | 2.61886 | − | 0.649526i | 0.0975990 | − | 0.0242064i | ||||
\(721\) | −1.93236 | − | 4.66514i | −0.0719650 | − | 0.173739i | ||||
\(722\) | −6.33666 | − | 13.8557i | −0.235826 | − | 0.515657i | ||||
\(723\) | −38.8303 | − | 31.8672i | −1.44412 | − | 1.18516i | ||||
\(724\) | 9.43200 | + | 0.242507i | 0.350537 | + | 0.00901270i | ||||
\(725\) | 6.19690 | − | 1.87981i | 0.230147 | − | 0.0698143i | ||||
\(726\) | −11.8611 | − | 20.3786i | −0.440208 | − | 0.756320i | ||||
\(727\) | −42.5548 | + | 8.46468i | −1.57827 | + | 0.313938i | −0.904985 | − | 0.425444i | \(-0.860118\pi\) |
−0.673287 | + | 0.739382i | \(0.735118\pi\) | |||||||
\(728\) | 2.23991 | − | 11.9151i | 0.0830165 | − | 0.441603i | ||||
\(729\) | −4.58392 | + | 23.0449i | −0.169775 | + | 0.853516i | ||||
\(730\) | −3.63115 | + | 7.42885i | −0.134395 | + | 0.274954i | ||||
\(731\) | −6.61799 | + | 5.43124i | −0.244775 | + | 0.200882i | ||||
\(732\) | 2.06266 | − | 16.5652i | 0.0762382 | − | 0.612267i | ||||
\(733\) | 12.4381 | + | 23.2700i | 0.459410 | + | 0.859496i | 0.999836 | + | 0.0181046i | \(0.00576319\pi\) |
−0.540426 | + | 0.841392i | \(0.681737\pi\) | |||||||
\(734\) | 31.2153 | − | 22.5348i | 1.15218 | − | 0.831776i | ||||
\(735\) | −15.0861 | + | 15.0861i | −0.556459 | + | 0.556459i | ||||
\(736\) | −2.13093 | − | 0.457593i | −0.0785473 | − | 0.0168671i | ||||
\(737\) | 15.0676 | + | 15.0676i | 0.555023 | + | 0.555023i | ||||
\(738\) | 3.98980 | + | 0.644341i | 0.146866 | + | 0.0237185i | ||||
\(739\) | −7.88065 | + | 4.21230i | −0.289894 | + | 0.154952i | −0.609934 | − | 0.792452i | \(-0.708804\pi\) |
0.320039 | + | 0.947404i | \(0.396304\pi\) | |||||||
\(740\) | 15.9911 | − | 28.1519i | 0.587843 | − | 1.03488i | ||||
\(741\) | 22.9419 | + | 27.9548i | 0.842793 | + | 1.02695i | ||||
\(742\) | 5.70580 | + | 16.6169i | 0.209467 | + | 0.610026i | ||||
\(743\) | 3.04038 | + | 0.604770i | 0.111541 | + | 0.0221868i | 0.250545 | − | 0.968105i | \(-0.419390\pi\) |
−0.139004 | + | 0.990292i | \(0.544390\pi\) | |||||||
\(744\) | 4.69367 | + | 1.88653i | 0.172078 | + | 0.0691636i | ||||
\(745\) | 4.57468 | + | 22.9985i | 0.167603 | + | 0.842599i | ||||
\(746\) | −10.1060 | + | 38.2527i | −0.370008 | + | 1.40053i | ||||
\(747\) | 0.284493 | + | 0.937847i | 0.0104090 | + | 0.0343140i | ||||
\(748\) | −0.921884 | − | 2.39819i | −0.0337074 | − | 0.0876864i | ||||
\(749\) | 6.00984 | − | 7.32302i | 0.219595 | − | 0.267577i | ||||
\(750\) | 28.4670 | + | 10.6003i | 1.03947 | + | 0.387068i | ||||
\(751\) | −5.50796 | + | 2.28147i | −0.200988 | + | 0.0832521i | −0.480907 | − | 0.876772i | \(-0.659693\pi\) |
0.279919 | + | 0.960024i | \(0.409693\pi\) | |||||||
\(752\) | −34.9080 | − | 8.83025i | −1.27296 | − | 0.322006i | ||||
\(753\) | 24.4150 | + | 10.1130i | 0.889734 | + | 0.368540i | ||||
\(754\) | −37.6310 | − | 34.9981i | −1.37044 | − | 1.27456i | ||||
\(755\) | −3.07234 | − | 31.1940i | −0.111814 | − | 1.13527i | ||||
\(756\) | −1.95397 | − | 11.3392i | −0.0710651 | − | 0.412402i | ||||
\(757\) | −4.47214 | + | 8.36678i | −0.162543 | + | 0.304096i | −0.949987 | − | 0.312290i | \(-0.898904\pi\) |
0.787444 | + | 0.616386i | \(0.211404\pi\) | |||||||
\(758\) | −16.8092 | + | 2.27302i | −0.610537 | + | 0.0825597i | ||||
\(759\) | −0.795226 | − | 0.531353i | −0.0288649 | − | 0.0192869i | ||||
\(760\) | −2.81828 | + | 32.0730i | −0.102230 | + | 1.16341i | ||||
\(761\) | 4.57889 | + | 6.85280i | 0.165985 | + | 0.248414i | 0.905132 | − | 0.425130i | \(-0.139771\pi\) |
−0.739148 | + | 0.673543i | \(0.764771\pi\) | |||||||
\(762\) | −41.9309 | − | 2.60053i | −1.51900 | − | 0.0942072i | ||||
\(763\) | −8.13150 | − | 0.800882i | −0.294380 | − | 0.0289939i | ||||
\(764\) | −0.214064 | − | 0.426505i | −0.00774457 | − | 0.0154304i | ||||
\(765\) | −0.608986 | − | 0.184734i | −0.0220179 | − | 0.00667907i | ||||
\(766\) | 14.6038 | − | 3.45921i | 0.527655 | − | 0.124986i | ||||
\(767\) | −44.0556 | −1.59075 | ||||||||
\(768\) | −0.135542 | + | 29.1677i | −0.00489096 | + | 1.05250i | ||||
\(769\) | −33.4645 | −1.20676 | −0.603380 | − | 0.797454i | \(-0.706180\pi\) | ||||
−0.603380 | + | 0.797454i | \(0.706180\pi\) | |||||||
\(770\) | 4.60902 | − | 1.09174i | 0.166098 | − | 0.0393437i | ||||
\(771\) | −27.4054 | − | 8.31333i | −0.986981 | − | 0.299397i | ||||
\(772\) | 2.98433 | + | 5.94604i | 0.107408 | + | 0.214002i | ||||
\(773\) | 8.57623 | + | 0.844685i | 0.308465 | + | 0.0303812i | 0.251066 | − | 0.967970i | \(-0.419219\pi\) |
0.0573999 | + | 0.998351i | \(0.481719\pi\) | |||||||
\(774\) | 4.14169 | + | 0.256865i | 0.148870 | + | 0.00923282i | ||||
\(775\) | 0.353127 | + | 0.528491i | 0.0126847 | + | 0.0189840i | ||||
\(776\) | 21.3351 | + | 1.87473i | 0.765885 | + | 0.0672988i | ||||
\(777\) | 13.8679 | + | 9.26620i | 0.497506 | + | 0.332423i | ||||
\(778\) | −39.5236 | + | 5.34457i | −1.41699 | + | 0.191612i | ||||
\(779\) | −22.7334 | + | 42.5312i | −0.814508 | + | 1.52384i | ||||
\(780\) | −4.69590 | − | 27.2510i | −0.168140 | − | 0.975744i | ||||
\(781\) | −0.815512 | − | 8.28004i | −0.0291813 | − | 0.296283i | ||||
\(782\) | 0.376420 | + | 0.350084i | 0.0134607 | + | 0.0125190i | ||||
\(783\) | −45.0601 | − | 18.6645i | −1.61032 | − | 0.667015i | ||||
\(784\) | −11.4915 | − | 19.2738i | −0.410410 | − | 0.688350i | ||||
\(785\) | 8.90974 | − | 3.69053i | 0.318002 | − | 0.131721i | ||||
\(786\) | −12.7942 | − | 4.76420i | −0.456354 | − | 0.169933i | ||||
\(787\) | −28.4120 | + | 34.6202i | −1.01278 | + | 1.23408i | −0.0407616 | + | 0.999169i | \(0.512978\pi\) |
−0.972018 | + | 0.234907i | \(0.924522\pi\) | |||||||
\(788\) | 0.435970 | + | 1.13413i | 0.0155308 | + | 0.0404018i | ||||
\(789\) | −6.19444 | − | 20.4203i | −0.220528 | − | 0.726983i | ||||
\(790\) | −4.42874 | + | 16.7634i | −0.157568 | + | 0.596416i | ||||
\(791\) | 2.96486 | + | 14.9053i | 0.105418 | + | 0.529973i | ||||
\(792\) | −0.464423 | + | 1.15548i | −0.0165026 | + | 0.0410582i | ||||
\(793\) | −16.3254 | − | 3.24732i | −0.579731 | − | 0.115316i | ||||
\(794\) | 5.02466 | + | 14.6332i | 0.178319 | + | 0.519315i | ||||
\(795\) | 25.4220 | + | 30.9768i | 0.901624 | + | 1.09863i | ||||
\(796\) | −14.1177 | + | 24.8538i | −0.500388 | + | 0.880921i | ||||
\(797\) | −33.7948 | + | 18.0637i | −1.19707 | + | 0.639849i | −0.944749 | − | 0.327794i | \(-0.893695\pi\) |
−0.252324 | + | 0.967643i | \(0.581195\pi\) | |||||||
\(798\) | −16.3739 | − | 2.64434i | −0.579629 | − | 0.0936085i | ||||
\(799\) | 6.00519 | + | 6.00519i | 0.212448 | + | 0.212448i | ||||
\(800\) | −2.08215 | + | 3.01604i | −0.0736150 | + | 0.106633i | ||||
\(801\) | −0.647255 | + | 0.647255i | −0.0228696 | + | 0.0228696i | ||||
\(802\) | −3.95697 | + | 2.85660i | −0.139725 | + | 0.100870i | ||||
\(803\) | −1.79902 | − | 3.36573i | −0.0634860 | − | 0.118774i | ||||
\(804\) | −7.05010 | + | 56.6192i | −0.248638 | + | 1.99681i | ||||
\(805\) | −0.732564 | + | 0.601200i | −0.0258195 | + | 0.0211895i | ||||
\(806\) | 2.21505 | − | 4.53171i | 0.0780219 | − | 0.159623i | ||||
\(807\) | 3.31432 | − | 16.6622i | 0.116669 | − | 0.586537i | ||||
\(808\) | −46.1950 | − | 8.68415i | −1.62513 | − | 0.305507i | ||||
\(809\) | 15.3470 | − | 3.05271i | 0.539572 | − | 0.107328i | 0.0822218 | − | 0.996614i | \(-0.473798\pi\) |
0.457351 | + | 0.889286i | \(0.348798\pi\) | |||||||
\(810\) | −14.6414 | − | 25.1554i | −0.514447 | − | 0.883870i | ||||
\(811\) | 3.15123 | − | 0.955914i | 0.110655 | − | 0.0335667i | −0.234472 | − | 0.972123i | \(-0.575336\pi\) |
0.345126 | + | 0.938556i | \(0.387836\pi\) | |||||||
\(812\) | 23.5618 | + | 0.605800i | 0.826857 | + | 0.0212594i | ||||
\(813\) | 26.0341 | + | 21.3656i | 0.913056 | + | 0.749325i | ||||
\(814\) | 6.21481 | + | 13.5893i | 0.217829 | + | 0.476305i | ||||
\(815\) | 0.309953 | + | 0.748292i | 0.0108572 | + | 0.0262115i | ||||
\(816\) | 3.55046 | − | 5.89250i | 0.124291 | − | 0.206279i | ||||
\(817\) | −18.9490 | + | 45.7469i | −0.662942 | + | 1.60048i | ||||
\(818\) | −21.1384 | + | 0.766280i | −0.739088 | + | 0.0267923i | ||||
\(819\) | 1.37931 | − | 0.135850i | 0.0481970 | − | 0.00474699i | ||||
\(820\) | 31.1777 | − | 19.6923i | 1.08877 | − | 0.687687i | ||||
\(821\) | −15.8735 | − | 8.48457i | −0.553989 | − | 0.296114i | 0.170548 | − | 0.985349i | \(-0.445446\pi\) |
−0.724537 | + | 0.689236i | \(0.757946\pi\) | |||||||
\(822\) | 18.5752 | + | 14.1500i | 0.647886 | + | 0.493537i | ||||
\(823\) | −15.9328 | + | 23.8451i | −0.555382 | + | 0.831188i | −0.997846 | − | 0.0655981i | \(-0.979104\pi\) |
0.442464 | + | 0.896786i | \(0.354104\pi\) | |||||||
\(824\) | 10.6224 | − | 5.82242i | 0.370049 | − | 0.202834i | ||||
\(825\) | −1.33721 | + | 0.893494i | −0.0465556 | + | 0.0311075i | ||||
\(826\) | 15.1445 | − | 13.3757i | 0.526946 | − | 0.465401i | ||||
\(827\) | 2.63378 | − | 26.7412i | 0.0915855 | − | 0.929883i | −0.834106 | − | 0.551604i | \(-0.814016\pi\) |
0.925692 | − | 0.378279i | \(-0.123484\pi\) | |||||||
\(828\) | −0.0180406 | − | 0.248506i | −0.000626956 | − | 0.00863618i | ||||
\(829\) | 9.26047 | − | 30.5277i | 0.321630 | − | 1.06027i | −0.635860 | − | 0.771804i | \(-0.719355\pi\) |
0.957490 | − | 0.288466i | \(-0.0931454\pi\) | |||||||
\(830\) | 7.61034 | + | 4.69546i | 0.264159 | + | 0.162982i | ||||
\(831\) | − | 49.5653i | − | 1.71940i | ||||||
\(832\) | 28.9979 | + | 2.24065i | 1.00532 | + | 0.0776807i | ||||
\(833\) | 5.29252i | 0.183375i | ||||||||
\(834\) | 3.79304 | − | 6.14771i | 0.131342 | − | 0.212878i | ||||
\(835\) | 2.53243 | − | 8.34832i | 0.0876385 | − | 0.288905i | ||||
\(836\) | −11.2408 | − | 9.71917i | −0.388771 | − | 0.336145i | ||||
\(837\) | 0.469225 | − | 4.76412i | 0.0162188 | − | 0.164672i | ||||
\(838\) | 29.1356 | + | 32.9885i | 1.00647 | + | 1.13957i | ||||
\(839\) | 20.7787 | − | 13.8839i | 0.717362 | − | 0.479326i | −0.142538 | − | 0.989789i | \(-0.545526\pi\) |
0.859899 | + | 0.510464i | \(0.170526\pi\) | |||||||
\(840\) | 9.88796 | + | 7.94209i | 0.341167 | + | 0.274028i | ||||
\(841\) | 39.3935 | − | 58.9565i | 1.35840 | − | 2.03298i | ||||
\(842\) | −8.09523 | + | 10.6269i | −0.278980 | + | 0.366228i | ||||
\(843\) | −45.6725 | − | 24.4125i | −1.57304 | − | 0.840810i | ||||
\(844\) | −36.9646 | − | 8.34581i | −1.27238 | − | 0.287275i | ||||
\(845\) | −0.450858 | + | 0.0444056i | −0.0155100 | + | 0.00152760i | ||||
\(846\) | −0.149122 | − | 4.11365i | −0.00512692 | − | 0.141430i | ||||
\(847\) | 4.12657 | − | 9.96242i | 0.141791 | − | 0.342313i | ||||
\(848\) | −38.1427 | + | 17.9318i | −1.30983 | + | 0.615782i | ||||
\(849\) | 20.4500 | + | 49.3707i | 0.701843 | + | 1.69440i | ||||
\(850\) | 0.786096 | − | 0.359506i | 0.0269629 | − | 0.0123310i | ||||
\(851\) | −2.31111 | − | 1.89668i | −0.0792237 | − | 0.0650172i | ||||
\(852\) | 16.1525 | − | 15.3427i | 0.553376 | − | 0.525634i | ||||
\(853\) | 48.4007 | − | 14.6822i | 1.65721 | − | 0.502709i | 0.683394 | − | 0.730050i | \(-0.260503\pi\) |
0.973815 | + | 0.227341i | \(0.0730034\pi\) | |||||||
\(854\) | 6.59793 | − | 3.84025i | 0.225776 | − | 0.131411i | ||||
\(855\) | −3.60996 | + | 0.718066i | −0.123458 | + | 0.0245574i | ||||
\(856\) | 19.0279 | + | 12.4263i | 0.650361 | + | 0.424721i | ||||
\(857\) | −0.452120 | + | 2.27296i | −0.0154441 | + | 0.0776428i | −0.987739 | − | 0.156116i | \(-0.950103\pi\) |
0.972295 | + | 0.233759i | \(0.0751026\pi\) | |||||||
\(858\) | 11.4663 | + | 5.60461i | 0.391453 | + | 0.191338i | ||||
\(859\) | 8.04245 | − | 6.60027i | 0.274405 | − | 0.225198i | −0.487118 | − | 0.873336i | \(-0.661952\pi\) |
0.761523 | + | 0.648138i | \(0.224452\pi\) | |||||||
\(860\) | 29.8760 | − | 23.2597i | 1.01876 | − | 0.793149i | ||||
\(861\) | 8.95493 | + | 16.7535i | 0.305183 | + | 0.570958i | ||||
\(862\) | −8.56163 | − | 11.8596i | −0.291610 | − | 0.403940i | ||||
\(863\) | 1.65352 | − | 1.65352i | 0.0562866 | − | 0.0562866i | −0.678403 | − | 0.734690i | \(-0.737328\pi\) |
0.734690 | + | 0.678403i | \(0.237328\pi\) | |||||||
\(864\) | 26.5329 | − | 7.61093i | 0.902668 | − | 0.258929i | ||||
\(865\) | −7.89688 | − | 7.89688i | −0.268502 | − | 0.268502i | ||||
\(866\) | 1.84327 | − | 11.4136i | 0.0626369 | − | 0.387851i | ||||
\(867\) | 25.9007 | − | 13.8442i | 0.879634 | − | 0.470174i | ||||
\(868\) | 0.614427 | + | 2.23033i | 0.0208550 | + | 0.0757024i | ||||
\(869\) | −5.07667 | − | 6.18594i | −0.172214 | − | 0.209844i | ||||
\(870\) | 50.8449 | − | 17.4588i | 1.72380 | − | 0.591908i | ||||
\(871\) | 55.7995 | + | 11.0992i | 1.89069 | + | 0.376083i | ||||
\(872\) | −0.206384 | − | 19.6003i | −0.00698903 | − | 0.663749i | ||||
\(873\) | 0.477660 | + | 2.40136i | 0.0161664 | + | 0.0812738i | ||||
\(874\) | 2.87451 | + | 0.759419i | 0.0972316 | + | 0.0256877i | ||||
\(875\) | 4.03260 | + | 13.2937i | 0.136327 | + | 0.449409i | ||||
\(876\) | 4.15188 | − | 9.33720i | 0.140279 | − | 0.315475i | ||||
\(877\) | 4.09874 | − | 4.99433i | 0.138405 | − | 0.168647i | −0.699195 | − | 0.714931i | \(-0.746458\pi\) |
0.837600 | + | 0.546284i | \(0.183958\pi\) | |||||||
\(878\) | 6.29831 | − | 16.9140i | 0.212558 | − | 0.570821i | ||||
\(879\) | −38.9685 | + | 16.1413i | −1.31437 | + | 0.544431i | ||||
\(880\) | 3.80312 | + | 10.7074i | 0.128203 | + | 0.360946i | ||||
\(881\) | −54.0719 | − | 22.3973i | −1.82173 | − | 0.754584i | −0.974873 | − | 0.222759i | \(-0.928494\pi\) |
−0.846854 | − | 0.531825i | \(-0.821506\pi\) | |||||||
\(882\) | 1.74702 | − | 1.87844i | 0.0588251 | − | 0.0632504i | ||||
\(883\) | −5.21828 | − | 52.9821i | −0.175609 | − | 1.78299i | −0.530104 | − | 0.847933i | \(-0.677847\pi\) |
0.354495 | − | 0.935058i | \(-0.384653\pi\) | |||||||
\(884\) | −5.60382 | − | 3.95641i | −0.188477 | − | 0.133068i | ||||
\(885\) | 21.7248 | − | 40.6443i | 0.730272 | − | 1.36624i | ||||
\(886\) | 2.30511 | + | 17.0465i | 0.0774415 | + | 0.572688i | ||||
\(887\) | 13.5149 | + | 9.03037i | 0.453786 | + | 0.303210i | 0.761378 | − | 0.648308i | \(-0.224523\pi\) |
−0.307592 | + | 0.951518i | \(0.599523\pi\) | |||||||
\(888\) | −18.4886 | + | 35.4834i | −0.620437 | + | 1.19075i | ||||
\(889\) | −10.6740 | − | 15.9748i | −0.357996 | − | 0.535779i | ||||
\(890\) | −0.516995 | + | 8.33601i | −0.0173297 | + | 0.279424i | ||||
\(891\) | 13.3689 | + | 1.31672i | 0.447873 | + | 0.0441117i | ||||
\(892\) | −6.62037 | + | 19.9622i | −0.221666 | + | 0.668385i | ||||
\(893\) | 47.0038 | + | 14.2584i | 1.57292 | + | 0.477141i | ||||
\(894\) | −6.67936 | − | 28.1983i | −0.223391 | − | 0.943092i | ||||
\(895\) | 17.6471 | 0.589878 | ||||||||
\(896\) | −10.6486 | + | 8.03381i | −0.355745 | + | 0.268391i | ||||
\(897\) | −2.55353 | −0.0852599 | ||||||||
\(898\) | −10.0842 | − | 42.5727i | −0.336516 | − | 1.42067i | ||||
\(899\) | 9.38383 | + | 2.84655i | 0.312968 | + | 0.0949379i | ||||
\(900\) | −0.397674 | − | 0.131886i | −0.0132558 | − | 0.00439621i | ||||
\(901\) | 9.89292 | + | 0.974368i | 0.329581 | + | 0.0324609i | ||||
\(902\) | −1.05352 | + | 16.9870i | −0.0350785 | + | 0.565605i | ||||
\(903\) | 10.8364 | + | 16.2178i | 0.360612 | + | 0.539694i | ||||
\(904\) | −34.7743 | + | 10.9498i | −1.15658 | + | 0.364186i | ||||
\(905\) | 8.18303 | + | 5.46773i | 0.272013 | + | 0.181753i | ||||
\(906\) | 5.19088 | + | 38.3870i | 0.172455 | + | 1.27532i | ||||
\(907\) | −6.86453 | + | 12.8426i | −0.227933 | + | 0.426432i | −0.969726 | − | 0.244197i | \(-0.921476\pi\) |
0.741793 | + | 0.670629i | \(0.233976\pi\) | |||||||
\(908\) | −19.0210 | + | 26.9412i | −0.631234 | + | 0.894075i | ||||
\(909\) | −0.526692 | − | 5.34760i | −0.0174693 | − | 0.177369i | ||||
\(910\) | 8.61239 | − | 9.26029i | 0.285498 | − | 0.306976i | ||||
\(911\) | 26.9724 | + | 11.1723i | 0.893634 | + | 0.370155i | 0.781769 | − | 0.623568i | \(-0.214318\pi\) |
0.111865 | + | 0.993723i | \(0.464318\pi\) | |||||||
\(912\) | 2.04468 | − | 39.7364i | 0.0677062 | − | 1.31580i | ||||
\(913\) | −3.81304 | + | 1.57941i | −0.126193 | + | 0.0522709i | ||||
\(914\) | 15.8082 | − | 42.4526i | 0.522887 | − | 1.40421i | ||||
\(915\) | 11.0463 | − | 13.4600i | 0.365179 | − | 0.444972i | ||||
\(916\) | −4.83061 | − | 2.14798i | −0.159608 | − | 0.0709712i | ||||
\(917\) | −1.81241 | − | 5.97472i | −0.0598511 | − | 0.197303i | ||||
\(918\) | −6.29438 | − | 1.66292i | −0.207746 | − | 0.0548845i | ||||
\(919\) | −1.74253 | − | 8.76027i | −0.0574806 | − | 0.288975i | 0.941344 | − | 0.337449i | \(-0.109564\pi\) |
−0.998824 | + | 0.0484744i | \(0.984564\pi\) | |||||||
\(920\) | −1.62439 | − | 1.59054i | −0.0535545 | − | 0.0524384i | ||||
\(921\) | 0.133502 | + | 0.0265553i | 0.00439906 | + | 0.000875027i | ||||
\(922\) | −13.9039 | + | 4.77423i | −0.457901 | + | 0.157231i | ||||
\(923\) | −14.0924 | − | 17.1716i | −0.463856 | − | 0.565210i | ||||
\(924\) | −5.64327 | + | 1.55465i | −0.185650 | + | 0.0511441i | ||||
\(925\) | −4.43376 | + | 2.36990i | −0.145781 | + | 0.0779217i | ||||
\(926\) | 1.08484 | − | 6.71741i | 0.0356502 | − | 0.220748i | ||||
\(927\) | 0.979203 | + | 0.979203i | 0.0321612 | + | 0.0321612i | ||||
\(928\) | 4.68752 | + | 56.3474i | 0.153876 | + | 1.84969i | ||||
\(929\) | −3.78546 | + | 3.78546i | −0.124197 | + | 0.124197i | −0.766473 | − | 0.642276i | \(-0.777990\pi\) |
0.642276 | + | 0.766473i | \(0.277990\pi\) | |||||||
\(930\) | 3.08852 | + | 4.27823i | 0.101277 | + | 0.140289i | ||||
\(931\) | 14.4296 | + | 26.9959i | 0.472912 | + | 0.884756i | ||||
\(932\) | 7.74182 | + | 9.94402i | 0.253592 | + | 0.325727i | ||||
\(933\) | 27.2698 | − | 22.3798i | 0.892774 | − | 0.732680i | ||||
\(934\) | −34.4283 | − | 16.8282i | −1.12653 | − | 0.550635i | ||||
\(935\) | 0.522838 | − | 2.62848i | 0.0170986 | − | 0.0859606i | ||||
\(936\) | 0.682954 | + | 3.25400i | 0.0223230 | + | 0.106360i | ||||
\(937\) | −24.0478 | + | 4.78341i | −0.785609 | + | 0.156267i | −0.571565 | − | 0.820557i | \(-0.693664\pi\) |
−0.214044 | + | 0.976824i | \(0.568664\pi\) | |||||||
\(938\) | −22.5515 | + | 13.1258i | −0.736331 | + | 0.428574i | ||||
\(939\) | 13.1227 | − | 3.98072i | 0.428242 | − | 0.129906i | ||||
\(940\) | −25.8668 | − | 27.2321i | −0.843683 | − | 0.888212i | ||||
\(941\) | −2.18792 | − | 1.79558i | −0.0713240 | − | 0.0585341i | 0.598056 | − | 0.801454i | \(-0.295940\pi\) |
−0.669380 | + | 0.742920i | \(0.733440\pi\) | |||||||
\(942\) | −10.8383 | + | 4.95669i | −0.353131 | + | 0.161498i | ||||
\(943\) | −1.30313 | − | 3.14603i | −0.0424357 | − | 0.102449i | ||||
\(944\) | 35.8397 | + | 32.6352i | 1.16648 | + | 1.06219i | ||||
\(945\) | 4.59299 | − | 11.0885i | 0.149410 | − | 0.360708i | ||||
\(946\) | 0.633065 | + | 17.4636i | 0.0205827 | + | 0.567791i | ||||
\(947\) | −44.8450 | + | 4.41685i | −1.45727 | + | 0.143528i | −0.795397 | − | 0.606089i | \(-0.792738\pi\) |
−0.661871 | + | 0.749617i | \(0.730238\pi\) | |||||||
\(948\) | 4.71901 | − | 20.9011i | 0.153266 | − | 0.678836i | ||||
\(949\) | −8.98620 | − | 4.80322i | −0.291704 | − | 0.155919i | ||||
\(950\) | 3.02953 | − | 3.97699i | 0.0982911 | − | 0.129031i | ||||
\(951\) | 10.0408 | − | 15.0271i | 0.325596 | − | 0.487288i | ||||
\(952\) | 3.12757 | − | 0.341325i | 0.101365 | − | 0.0110624i | ||||
\(953\) | −19.1771 | + | 12.8137i | −0.621208 | + | 0.415078i | −0.825954 | − | 0.563737i | \(-0.809363\pi\) |
0.204746 | + | 0.978815i | \(0.434363\pi\) | |||||||
\(954\) | −3.18960 | − | 3.61140i | −0.103267 | − | 0.116923i | ||||
\(955\) | 0.0487902 | − | 0.495376i | 0.00157882 | − | 0.0160300i | ||||
\(956\) | 19.7024 | − | 22.7869i | 0.637220 | − | 0.736983i | ||||
\(957\) | −7.20246 | + | 23.7433i | −0.232822 | + | 0.767513i | ||||
\(958\) | 2.54460 | − | 4.12427i | 0.0822124 | − | 0.133249i | ||||
\(959\) | 10.6789i | 0.344839i | ||||||||
\(960\) | −16.3667 | + | 25.6476i | −0.528233 | + | 0.827774i | ||||
\(961\) | − | 30.0375i | − | 0.968952i | ||||||
\(962\) | 33.9539 | + | 20.9490i | 1.09472 | + | 0.675422i | ||||
\(963\) | −0.754166 | + | 2.48615i | −0.0243027 | + | 0.0801152i | ||||
\(964\) | 54.9651 | − | 3.99027i | 1.77031 | − | 0.128518i | ||||
\(965\) | −0.680199 | + | 6.90618i | −0.0218964 | + | 0.222318i | ||||
\(966\) | 0.877801 | − | 0.775278i | 0.0282428 | − | 0.0249442i | ||||
\(967\) | −1.70664 | + | 1.14034i | −0.0548818 | + | 0.0366709i | −0.582709 | − | 0.812681i | \(-0.698007\pi\) |
0.527827 | + | 0.849352i | \(0.323007\pi\) | |||||||
\(968\) | 24.8322 | + | 7.24813i | 0.798137 | + | 0.232964i | ||||
\(969\) | −5.21374 | + | 7.80292i | −0.167490 | + | 0.250666i | ||||
\(970\) | 17.7712 | + | 13.5375i | 0.570600 | + | 0.434663i | ||||
\(971\) | 10.4304 | + | 5.57518i | 0.334728 | + | 0.178916i | 0.630195 | − | 0.776437i | \(-0.282975\pi\) |
−0.295467 | + | 0.955353i | \(0.595475\pi\) | |||||||
\(972\) | 3.57378 | + | 5.65815i | 0.114629 | + | 0.181485i | ||||
\(973\) | 3.28764 | − | 0.323804i | 0.105397 | − | 0.0103807i | ||||
\(974\) | −21.4539 | + | 0.777714i | −0.687426 | + | 0.0249196i | ||||
\(975\) | −1.64320 | + | 3.96702i | −0.0526244 | + | 0.127046i | ||||
\(976\) | 10.8754 | + | 14.7351i | 0.348112 | + | 0.471661i | ||||
\(977\) | −5.24366 | − | 12.6593i | −0.167760 | − | 0.405007i | 0.817533 | − | 0.575881i | \(-0.195341\pi\) |
−0.985293 | + | 0.170874i | \(0.945341\pi\) | |||||||
\(978\) | −0.416292 | − | 0.910264i | −0.0133116 | − | 0.0291070i | ||||
\(979\) | −2.97978 | − | 2.44544i | −0.0952342 | − | 0.0781567i | ||||
\(980\) | 0.601605 | − | 23.3987i | 0.0192176 | − | 0.747443i | ||||
\(981\) | 2.14432 | − | 0.650473i | 0.0684629 | − | 0.0207680i | ||||
\(982\) | 1.10445 | + | 1.89755i | 0.0352443 | + | 0.0605531i | ||||
\(983\) | 30.4779 | − | 6.06243i | 0.972093 | − | 0.193361i | 0.316597 | − | 0.948560i | \(-0.397460\pi\) |
0.655496 | + | 0.755199i | \(0.272460\pi\) | |||||||
\(984\) | −37.6228 | + | 25.7159i | −1.19937 | + | 0.819791i | ||||
\(985\) | −0.247256 | + | 1.24304i | −0.00787824 | + | 0.0396066i | ||||
\(986\) | 5.85627 | − | 11.9812i | 0.186502 | − | 0.381558i | ||||
\(987\) | 14.9566 | − | 12.2745i | 0.476072 | − | 0.390703i | ||||
\(988\) | −39.3707 | − | 4.90235i | −1.25255 | − | 0.155965i | ||||
\(989\) | −1.64817 | − | 3.08352i | −0.0524089 | − | 0.0980501i | ||||
\(990\) | −1.05321 | + | 0.760326i | −0.0334731 | + | 0.0241648i | ||||
\(991\) | −12.3275 | + | 12.3275i | −0.391596 | + | 0.391596i | −0.875256 | − | 0.483660i | \(-0.839307\pi\) |
0.483660 | + | 0.875256i | \(0.339307\pi\) | |||||||
\(992\) | −5.15894 | + | 2.04574i | −0.163797 | + | 0.0649524i | ||||
\(993\) | −37.5905 | − | 37.5905i | −1.19290 | − | 1.19290i | ||||
\(994\) | 10.0579 | + | 1.62432i | 0.319016 | + | 0.0515202i | ||||
\(995\) | −26.2946 | + | 14.0548i | −0.833596 | + | 0.445566i | ||||
\(996\) | −9.60898 | − | 5.45818i | −0.304472 | − | 0.172949i | ||||
\(997\) | −21.2930 | − | 25.9456i | −0.674356 | − | 0.821705i | 0.317608 | − | 0.948222i | \(-0.397120\pi\) |
−0.991964 | + | 0.126517i | \(0.959620\pi\) | |||||||
\(998\) | 18.9840 | + | 55.2868i | 0.600929 | + | 1.75007i | ||||
\(999\) | 37.1368 | + | 7.38696i | 1.17496 | + | 0.233713i |
(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 | 128.2.k.a.5.15 | ✓ | 240 | |
4.3 | odd | 2 | 512.2.k.a.113.12 | 240 | |||
128.51 | odd | 32 | 512.2.k.a.145.12 | 240 | |||
128.77 | even | 32 | inner | 128.2.k.a.77.15 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.2.k.a.5.15 | ✓ | 240 | 1.1 | even | 1 | trivial | |
128.2.k.a.77.15 | yes | 240 | 128.77 | even | 32 | inner | |
512.2.k.a.113.12 | 240 | 4.3 | odd | 2 | |||
512.2.k.a.145.12 | 240 | 128.51 | odd | 32 |