Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(25,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([28, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.y (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 151.16 | ||
Character | \(\chi\) | \(=\) | 441.151 |
Dual form | 441.2.y.a.184.16 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.14087 | + | 0.549413i | −0.806716 | + | 0.388494i | −0.791331 | − | 0.611388i | \(-0.790612\pi\) |
−0.0153847 | + | 0.999882i | \(0.504897\pi\) | |||||||
\(3\) | −1.62798 | + | 0.591337i | −0.939915 | + | 0.341409i | ||||
\(4\) | −0.247253 | + | 0.310046i | −0.123627 | + | 0.155023i | ||||
\(5\) | 1.11762 | + | 1.03700i | 0.499814 | + | 0.463760i | 0.889334 | − | 0.457259i | \(-0.151169\pi\) |
−0.389520 | + | 0.921018i | \(0.627359\pi\) | |||||||
\(6\) | 1.53242 | − | 1.56907i | 0.625609 | − | 0.640571i | ||||
\(7\) | 1.67910 | + | 2.04466i | 0.634639 | + | 0.772809i | ||||
\(8\) | 0.675283 | − | 2.95861i | 0.238749 | − | 1.04603i | ||||
\(9\) | 2.30064 | − | 1.92537i | 0.766880 | − | 0.641790i | ||||
\(10\) | −1.84480 | − | 0.569044i | −0.583376 | − | 0.179948i | ||||
\(11\) | 4.51953 | + | 3.08136i | 1.36269 | + | 0.929066i | 0.999996 | − | 0.00284314i | \(-0.000905000\pi\) |
0.362693 | + | 0.931909i | \(0.381857\pi\) | |||||||
\(12\) | 0.219182 | − | 0.650959i | 0.0632724 | − | 0.187916i | ||||
\(13\) | −0.984498 | − | 0.671219i | −0.273051 | − | 0.186163i | 0.419051 | − | 0.907963i | \(-0.362363\pi\) |
−0.692102 | + | 0.721800i | \(0.743315\pi\) | |||||||
\(14\) | −3.03899 | − | 1.41017i | −0.812205 | − | 0.376884i | ||||
\(15\) | −2.43268 | − | 1.02732i | −0.628114 | − | 0.265254i | ||||
\(16\) | 0.678602 | + | 2.97315i | 0.169650 | + | 0.743287i | ||||
\(17\) | 6.40805 | − | 0.965859i | 1.55418 | − | 0.234255i | 0.684924 | − | 0.728615i | \(-0.259836\pi\) |
0.869257 | + | 0.494360i | \(0.164597\pi\) | |||||||
\(18\) | −1.56690 | + | 3.46060i | −0.369323 | + | 0.815671i | ||||
\(19\) | −1.48970 | − | 2.58024i | −0.341761 | − | 0.591947i | 0.642999 | − | 0.765867i | \(-0.277690\pi\) |
−0.984760 | + | 0.173920i | \(0.944357\pi\) | |||||||
\(20\) | −0.597852 | + | 0.0901117i | −0.133684 | + | 0.0201496i | ||||
\(21\) | −3.94262 | − | 2.33576i | −0.860350 | − | 0.509704i | ||||
\(22\) | −6.84913 | − | 1.03234i | −1.46024 | − | 0.220096i | ||||
\(23\) | 3.07522 | + | 7.83552i | 0.641227 | + | 1.63382i | 0.766914 | + | 0.641750i | \(0.221791\pi\) |
−0.125687 | + | 0.992070i | \(0.540114\pi\) | |||||||
\(24\) | 0.650188 | + | 5.21587i | 0.132719 | + | 1.06469i | ||||
\(25\) | −0.199945 | − | 2.66808i | −0.0399891 | − | 0.533617i | ||||
\(26\) | 1.49196 | + | 0.224877i | 0.292597 | + | 0.0441020i | ||||
\(27\) | −2.60685 | + | 4.49492i | −0.501689 | + | 0.865048i | ||||
\(28\) | −1.04910 | + | 0.0150477i | −0.198262 | + | 0.00284375i | ||||
\(29\) | −7.37605 | + | 1.11176i | −1.36970 | + | 0.206449i | −0.792359 | − | 0.610056i | \(-0.791147\pi\) |
−0.577339 | + | 0.816504i | \(0.695909\pi\) | |||||||
\(30\) | 3.33979 | − | 0.164504i | 0.609759 | − | 0.0300341i | ||||
\(31\) | −0.379165 | −0.0681000 | −0.0340500 | − | 0.999420i | \(-0.510841\pi\) | ||||
−0.0340500 | + | 0.999420i | \(0.510841\pi\) | |||||||
\(32\) | 1.37652 | + | 1.72610i | 0.243336 | + | 0.305134i | ||||
\(33\) | −9.17983 | − | 2.34383i | −1.59800 | − | 0.408009i | ||||
\(34\) | −6.78009 | + | 4.62259i | −1.16278 | + | 0.792767i | ||||
\(35\) | −0.243721 | + | 4.02637i | −0.0411963 | + | 0.680580i | ||||
\(36\) | 0.0281123 | + | 1.18936i | 0.00468539 | + | 0.198227i | ||||
\(37\) | −1.36219 | + | 3.47079i | −0.223942 | + | 0.570595i | −0.998047 | − | 0.0624619i | \(-0.980105\pi\) |
0.774105 | + | 0.633057i | \(0.218200\pi\) | |||||||
\(38\) | 3.11717 | + | 2.12525i | 0.505672 | + | 0.344761i | ||||
\(39\) | 1.99966 | + | 0.510562i | 0.320202 | + | 0.0817553i | ||||
\(40\) | 3.82278 | − | 2.60633i | 0.604434 | − | 0.412096i | ||||
\(41\) | −4.25784 | + | 1.31337i | −0.664963 | + | 0.205114i | −0.608819 | − | 0.793309i | \(-0.708357\pi\) |
−0.0561434 | + | 0.998423i | \(0.517880\pi\) | |||||||
\(42\) | 5.78131 | + | 0.498662i | 0.892075 | + | 0.0769452i | ||||
\(43\) | −1.67550 | − | 0.516822i | −0.255511 | − | 0.0788146i | 0.164354 | − | 0.986401i | \(-0.447446\pi\) |
−0.419864 | + | 0.907587i | \(0.637922\pi\) | |||||||
\(44\) | −2.07283 | + | 0.639384i | −0.312491 | + | 0.0963908i | ||||
\(45\) | 4.56784 | + | 0.233930i | 0.680934 | + | 0.0348723i | ||||
\(46\) | −7.81336 | − | 7.24974i | −1.15202 | − | 1.06892i | ||||
\(47\) | 7.36605 | − | 3.54730i | 1.07445 | − | 0.517427i | 0.188910 | − | 0.981994i | \(-0.439504\pi\) |
0.885538 | + | 0.464567i | \(0.153790\pi\) | |||||||
\(48\) | −2.86288 | − | 4.43895i | −0.413222 | − | 0.640707i | ||||
\(49\) | −1.36127 | + | 6.86636i | −0.194468 | + | 0.980909i | ||||
\(50\) | 1.69399 | + | 2.93408i | 0.239567 | + | 0.414942i | ||||
\(51\) | −9.86104 | + | 5.36172i | −1.38082 | + | 0.750791i | ||||
\(52\) | 0.451529 | − | 0.139278i | 0.0626159 | − | 0.0193144i | ||||
\(53\) | 1.66787 | + | 4.24966i | 0.229099 | + | 0.583736i | 0.998484 | − | 0.0550507i | \(-0.0175320\pi\) |
−0.769384 | + | 0.638786i | \(0.779437\pi\) | |||||||
\(54\) | 0.504508 | − | 6.56035i | 0.0686549 | − | 0.892751i | ||||
\(55\) | 1.85574 | + | 8.13053i | 0.250228 | + | 1.09632i | ||||
\(56\) | 7.18321 | − | 3.58706i | 0.959897 | − | 0.479341i | ||||
\(57\) | 3.95099 | + | 3.31966i | 0.523322 | + | 0.439700i | ||||
\(58\) | 7.80429 | − | 5.32087i | 1.02475 | − | 0.698665i | ||||
\(59\) | −0.839805 | − | 3.67942i | −0.109333 | − | 0.479020i | −0.999717 | − | 0.0238087i | \(-0.992421\pi\) |
0.890383 | − | 0.455212i | \(-0.150436\pi\) | |||||||
\(60\) | 0.920005 | − | 0.500232i | 0.118772 | − | 0.0645797i | ||||
\(61\) | −3.06868 | − | 3.84800i | −0.392904 | − | 0.492686i | 0.545556 | − | 0.838074i | \(-0.316319\pi\) |
−0.938460 | + | 0.345389i | \(0.887747\pi\) | |||||||
\(62\) | 0.432577 | − | 0.208318i | 0.0549373 | − | 0.0264564i | ||||
\(63\) | 7.79973 | + | 1.47115i | 0.982673 | + | 0.185347i | ||||
\(64\) | −8.01397 | − | 3.85933i | −1.00175 | − | 0.482416i | ||||
\(65\) | −0.404239 | − | 1.77109i | −0.0501397 | − | 0.219677i | ||||
\(66\) | 11.7607 | − | 2.36952i | 1.44764 | − | 0.291667i | ||||
\(67\) | 3.91416 | 0.478191 | 0.239095 | − | 0.970996i | \(-0.423149\pi\) | ||||
0.239095 | + | 0.970996i | \(0.423149\pi\) | |||||||
\(68\) | −1.28495 | + | 2.22560i | −0.155823 | + | 0.269894i | ||||
\(69\) | −9.63983 | − | 10.9376i | −1.16050 | − | 1.31673i | ||||
\(70\) | −1.93409 | − | 4.72746i | −0.231168 | − | 0.565040i | ||||
\(71\) | 8.09418 | − | 10.1498i | 0.960603 | − | 1.20456i | −0.0182169 | − | 0.999834i | \(-0.505799\pi\) |
0.978820 | − | 0.204724i | \(-0.0656296\pi\) | |||||||
\(72\) | −4.14283 | − | 8.10686i | −0.488238 | − | 0.955403i | ||||
\(73\) | −10.0976 | + | 6.88444i | −1.18184 | + | 0.805763i | −0.984639 | − | 0.174601i | \(-0.944137\pi\) |
−0.197198 | + | 0.980364i | \(0.563184\pi\) | |||||||
\(74\) | −0.352825 | − | 4.70812i | −0.0410151 | − | 0.547308i | ||||
\(75\) | 1.90324 | + | 4.22535i | 0.219768 | + | 0.487902i | ||||
\(76\) | 1.16833 | + | 0.176097i | 0.134016 | + | 0.0201997i | ||||
\(77\) | 1.28838 | + | 14.4148i | 0.146825 | + | 1.64272i | ||||
\(78\) | −2.56186 | + | 0.516156i | −0.290073 | + | 0.0584432i | ||||
\(79\) | −4.04791 | −0.455425 | −0.227713 | − | 0.973728i | \(-0.573125\pi\) | ||||
−0.227713 | + | 0.973728i | \(0.573125\pi\) | |||||||
\(80\) | −2.32473 | + | 4.02655i | −0.259913 | + | 0.450182i | ||||
\(81\) | 1.58589 | − | 8.85917i | 0.176210 | − | 0.984353i | ||||
\(82\) | 4.13605 | − | 3.83770i | 0.456751 | − | 0.423803i | ||||
\(83\) | −3.17644 | + | 2.16566i | −0.348660 | + | 0.237712i | −0.724968 | − | 0.688782i | \(-0.758146\pi\) |
0.376309 | + | 0.926494i | \(0.377193\pi\) | |||||||
\(84\) | 1.69902 | − | 0.644870i | 0.185378 | − | 0.0703611i | ||||
\(85\) | 8.16335 | + | 5.56568i | 0.885439 | + | 0.603682i | ||||
\(86\) | 2.19547 | − | 0.330914i | 0.236744 | − | 0.0356834i | ||||
\(87\) | 11.3506 | − | 6.17166i | 1.21692 | − | 0.661671i | ||||
\(88\) | 12.1685 | − | 11.2907i | 1.29717 | − | 1.20359i | ||||
\(89\) | −0.797571 | − | 10.6428i | −0.0845424 | − | 1.12814i | −0.864610 | − | 0.502444i | \(-0.832434\pi\) |
0.780067 | − | 0.625696i | \(-0.215185\pi\) | |||||||
\(90\) | −5.33983 | + | 2.24275i | −0.562868 | + | 0.236407i | ||||
\(91\) | −0.280651 | − | 3.14001i | −0.0294202 | − | 0.329162i | ||||
\(92\) | −3.18973 | − | 0.983902i | −0.332552 | − | 0.102579i | ||||
\(93\) | 0.617273 | − | 0.224214i | 0.0640082 | − | 0.0232499i | ||||
\(94\) | −6.45476 | + | 8.09401i | −0.665757 | + | 0.834833i | ||||
\(95\) | 1.01078 | − | 4.42854i | 0.103704 | − | 0.454358i | ||||
\(96\) | −3.26165 | − | 1.99607i | −0.332891 | − | 0.203723i | ||||
\(97\) | 1.06426 | − | 1.84335i | 0.108059 | − | 0.187164i | −0.806925 | − | 0.590654i | \(-0.798870\pi\) |
0.914984 | + | 0.403490i | \(0.132203\pi\) | |||||||
\(98\) | −2.21944 | − | 8.58152i | −0.224197 | − | 0.866864i | ||||
\(99\) | 16.3306 | − | 1.61266i | 1.64128 | − | 0.162079i | ||||
\(100\) | 0.876666 | + | 0.597701i | 0.0876666 | + | 0.0597701i | ||||
\(101\) | 11.2535 | − | 3.47124i | 1.11976 | − | 0.345401i | 0.321019 | − | 0.947073i | \(-0.395975\pi\) |
0.798743 | + | 0.601672i | \(0.205498\pi\) | |||||||
\(102\) | 8.30435 | − | 11.5348i | 0.822253 | − | 1.14212i | ||||
\(103\) | −1.20119 | − | 1.11454i | −0.118357 | − | 0.109819i | 0.618774 | − | 0.785569i | \(-0.287630\pi\) |
−0.737131 | + | 0.675750i | \(0.763820\pi\) | |||||||
\(104\) | −2.65069 | + | 2.45948i | −0.259921 | + | 0.241172i | ||||
\(105\) | −1.98417 | − | 6.69897i | −0.193635 | − | 0.653752i | ||||
\(106\) | −4.23764 | − | 3.93195i | −0.411596 | − | 0.381905i | ||||
\(107\) | 0.616733 | + | 8.22973i | 0.0596219 | + | 0.795598i | 0.944235 | + | 0.329273i | \(0.106804\pi\) |
−0.884613 | + | 0.466326i | \(0.845577\pi\) | |||||||
\(108\) | −0.749079 | − | 1.91963i | −0.0720801 | − | 0.184716i | ||||
\(109\) | −0.286774 | + | 3.82674i | −0.0274680 | + | 0.366535i | 0.966485 | + | 0.256725i | \(0.0826433\pi\) |
−0.993953 | + | 0.109810i | \(0.964976\pi\) | |||||||
\(110\) | −6.58417 | − | 8.25629i | −0.627776 | − | 0.787207i | ||||
\(111\) | 0.165203 | − | 6.45590i | 0.0156803 | − | 0.612766i | ||||
\(112\) | −4.93964 | + | 6.37971i | −0.466752 | + | 0.602826i | ||||
\(113\) | 0.0838405 | + | 1.11877i | 0.00788705 | + | 0.105245i | 0.999758 | − | 0.0220033i | \(-0.00700443\pi\) |
−0.991871 | + | 0.127249i | \(0.959385\pi\) | |||||||
\(114\) | −6.33143 | − | 1.61657i | −0.592993 | − | 0.151405i | ||||
\(115\) | −4.68850 | + | 11.9461i | −0.437205 | + | 1.11398i | ||||
\(116\) | 1.47906 | − | 2.56180i | 0.137327 | − | 0.237857i | ||||
\(117\) | −3.55732 | + | 0.351289i | −0.328875 | + | 0.0324767i | ||||
\(118\) | 2.97963 | + | 3.73634i | 0.274297 | + | 0.343958i | ||||
\(119\) | 12.7346 | + | 11.4805i | 1.16738 | + | 1.05242i | ||||
\(120\) | −4.68219 | + | 6.50360i | −0.427423 | + | 0.593695i | ||||
\(121\) | 6.91259 | + | 17.6130i | 0.628417 | + | 1.60118i | ||||
\(122\) | 5.61510 | + | 2.70409i | 0.508367 | + | 0.244817i | ||||
\(123\) | 6.15504 | − | 4.65596i | 0.554981 | − | 0.419814i | ||||
\(124\) | 0.0937498 | − | 0.117558i | 0.00841898 | − | 0.0105571i | ||||
\(125\) | 7.29623 | − | 9.14918i | 0.652594 | − | 0.818328i | ||||
\(126\) | −9.70673 | + | 2.60689i | −0.864744 | + | 0.232240i | ||||
\(127\) | 6.61793 | + | 8.29862i | 0.587246 | + | 0.736383i | 0.983330 | − | 0.181831i | \(-0.0582024\pi\) |
−0.396084 | + | 0.918214i | \(0.629631\pi\) | |||||||
\(128\) | 6.84773 | 0.605260 | ||||||||
\(129\) | 3.03329 | − | 0.149407i | 0.267066 | − | 0.0131546i | ||||
\(130\) | 1.43424 | + | 1.79848i | 0.125792 | + | 0.157738i | ||||
\(131\) | −12.1750 | − | 3.75549i | −1.06374 | − | 0.328119i | −0.286990 | − | 0.957934i | \(-0.592655\pi\) |
−0.776745 | + | 0.629815i | \(0.783131\pi\) | |||||||
\(132\) | 2.99644 | − | 2.26665i | 0.260807 | − | 0.197286i | ||||
\(133\) | 2.77436 | − | 7.37840i | 0.240567 | − | 0.639788i | ||||
\(134\) | −4.46554 | + | 2.15049i | −0.385764 | + | 0.185774i | ||||
\(135\) | −7.57469 | + | 2.32030i | −0.651925 | + | 0.199700i | ||||
\(136\) | 1.46965 | − | 19.6111i | 0.126022 | − | 1.68164i | ||||
\(137\) | −13.8556 | + | 12.8561i | −1.18377 | + | 1.09837i | −0.190600 | + | 0.981668i | \(0.561043\pi\) |
−0.993166 | + | 0.116707i | \(0.962766\pi\) | |||||||
\(138\) | 17.0070 | + | 7.18210i | 1.44774 | + | 0.611381i | ||||
\(139\) | −7.53848 | + | 2.32531i | −0.639405 | + | 0.197230i | −0.597472 | − | 0.801890i | \(-0.703828\pi\) |
−0.0419337 | + | 0.999120i | \(0.513352\pi\) | |||||||
\(140\) | −1.18810 | − | 1.07110i | −0.100413 | − | 0.0905243i | ||||
\(141\) | −9.89413 | + | 10.1308i | −0.833236 | + | 0.853163i | ||||
\(142\) | −3.65797 | + | 16.0266i | −0.306970 | + | 1.34492i | ||||
\(143\) | −2.38120 | − | 6.06719i | −0.199126 | − | 0.507364i | ||||
\(144\) | 7.28563 | + | 5.53359i | 0.607136 | + | 0.461132i | ||||
\(145\) | −9.39650 | − | 6.40642i | −0.780337 | − | 0.532025i | ||||
\(146\) | 7.73766 | − | 13.4020i | 0.640373 | − | 1.10916i | ||||
\(147\) | −1.84421 | − | 11.9833i | −0.152108 | − | 0.988364i | ||||
\(148\) | −0.739301 | − | 1.28051i | −0.0607701 | − | 0.105257i | ||||
\(149\) | −0.211626 | + | 2.82395i | −0.0173371 | + | 0.231347i | 0.981804 | + | 0.189899i | \(0.0608161\pi\) |
−0.999141 | + | 0.0414479i | \(0.986803\pi\) | |||||||
\(150\) | −4.49282 | − | 3.77491i | −0.366837 | − | 0.308220i | ||||
\(151\) | 23.2809 | + | 3.50903i | 1.89457 | + | 0.285561i | 0.990033 | − | 0.140834i | \(-0.0449782\pi\) |
0.904537 | + | 0.426394i | \(0.140216\pi\) | |||||||
\(152\) | −8.63988 | + | 2.66505i | −0.700787 | + | 0.216164i | ||||
\(153\) | 12.8830 | − | 14.5600i | 1.04153 | − | 1.17710i | ||||
\(154\) | −9.38956 | − | 15.7375i | −0.756632 | − | 1.26817i | ||||
\(155\) | −0.423761 | − | 0.393193i | −0.0340373 | − | 0.0315820i | ||||
\(156\) | −0.652721 | + | 0.493749i | −0.0522595 | + | 0.0395315i | ||||
\(157\) | −3.27616 | − | 14.3538i | −0.261466 | − | 1.14556i | −0.919662 | − | 0.392712i | \(-0.871537\pi\) |
0.658195 | − | 0.752847i | \(-0.271320\pi\) | |||||||
\(158\) | 4.61813 | − | 2.22398i | 0.367399 | − | 0.176930i | ||||
\(159\) | −5.22824 | − | 5.93209i | −0.414626 | − | 0.470445i | ||||
\(160\) | −0.251540 | + | 3.35656i | −0.0198860 | + | 0.265360i | ||||
\(161\) | −10.8574 | + | 19.4444i | −0.855683 | + | 1.53243i | ||||
\(162\) | 3.05805 | + | 10.9785i | 0.240263 | + | 0.862550i | ||||
\(163\) | 7.51748 | − | 6.97520i | 0.588814 | − | 0.546340i | −0.328500 | − | 0.944504i | \(-0.606543\pi\) |
0.917314 | + | 0.398164i | \(0.130353\pi\) | |||||||
\(164\) | 0.645561 | − | 1.64486i | 0.0504098 | − | 0.128442i | ||||
\(165\) | −7.82899 | − | 12.1390i | −0.609486 | − | 0.945017i | ||||
\(166\) | 2.43406 | − | 4.21591i | 0.188920 | − | 0.327218i | ||||
\(167\) | −3.27556 | + | 8.34599i | −0.253470 | + | 0.645832i | −0.999805 | − | 0.0197387i | \(-0.993717\pi\) |
0.746335 | + | 0.665571i | \(0.231812\pi\) | |||||||
\(168\) | −9.57297 | + | 10.0874i | −0.738570 | + | 0.778257i | ||||
\(169\) | −4.23073 | − | 10.7797i | −0.325441 | − | 0.829210i | ||||
\(170\) | −12.3712 | − | 1.86465i | −0.948825 | − | 0.143012i | ||||
\(171\) | −8.39518 | − | 3.06797i | −0.641996 | − | 0.234614i | ||||
\(172\) | 0.574511 | − | 0.391695i | 0.0438061 | − | 0.0298665i | ||||
\(173\) | 8.30794 | − | 10.4178i | 0.631641 | − | 0.792052i | −0.358289 | − | 0.933611i | \(-0.616640\pi\) |
0.989930 | + | 0.141558i | \(0.0452112\pi\) | |||||||
\(174\) | −9.55880 | + | 13.2772i | −0.724651 | + | 1.00655i | ||||
\(175\) | 5.11960 | − | 4.88879i | 0.387005 | − | 0.369558i | ||||
\(176\) | −6.09439 | + | 15.5283i | −0.459382 | + | 1.17049i | ||||
\(177\) | 3.54297 | + | 5.49342i | 0.266306 | + | 0.412911i | ||||
\(178\) | 6.75725 | + | 11.7039i | 0.506477 | + | 0.877244i | ||||
\(179\) | −15.6742 | + | 2.36251i | −1.17155 | + | 0.176582i | −0.705849 | − | 0.708362i | \(-0.749434\pi\) |
−0.465697 | + | 0.884944i | \(0.654196\pi\) | |||||||
\(180\) | −1.20194 | + | 1.35840i | −0.0895876 | + | 0.101249i | ||||
\(181\) | −4.38546 | − | 2.11192i | −0.325968 | − | 0.156978i | 0.263741 | − | 0.964593i | \(-0.415043\pi\) |
−0.589710 | + | 0.807615i | \(0.700758\pi\) | |||||||
\(182\) | 2.04535 | + | 3.42814i | 0.151611 | + | 0.254111i | ||||
\(183\) | 7.27121 | + | 4.44984i | 0.537503 | + | 0.328942i | ||||
\(184\) | 25.2589 | − | 3.80716i | 1.86211 | − | 0.280668i | ||||
\(185\) | −5.12161 | + | 2.46644i | −0.376548 | + | 0.181336i | ||||
\(186\) | −0.581041 | + | 0.594937i | −0.0426040 | + | 0.0436229i | ||||
\(187\) | 31.9375 | + | 15.3803i | 2.33550 | + | 1.12472i | ||||
\(188\) | −0.721454 | + | 3.16090i | −0.0526174 | + | 0.230532i | ||||
\(189\) | −13.5677 | + | 2.21727i | −0.986908 | + | 0.161283i | ||||
\(190\) | 1.27992 | + | 5.60772i | 0.0928555 | + | 0.406827i | ||||
\(191\) | −2.95569 | + | 12.9497i | −0.213867 | + | 0.937010i | 0.748045 | + | 0.663648i | \(0.230993\pi\) |
−0.961911 | + | 0.273362i | \(0.911864\pi\) | |||||||
\(192\) | 15.3288 | + | 1.54395i | 1.10626 | + | 0.111425i | ||||
\(193\) | −3.97834 | + | 17.4303i | −0.286367 | + | 1.25466i | 0.603102 | + | 0.797664i | \(0.293931\pi\) |
−0.889470 | + | 0.456994i | \(0.848926\pi\) | |||||||
\(194\) | −0.201418 | + | 2.68774i | −0.0144610 | + | 0.192968i | ||||
\(195\) | 1.70540 | + | 2.64426i | 0.122127 | + | 0.189359i | ||||
\(196\) | −1.79231 | − | 2.11979i | −0.128022 | − | 0.151414i | ||||
\(197\) | −9.12430 | −0.650079 | −0.325040 | − | 0.945700i | \(-0.605378\pi\) | ||||
−0.325040 | + | 0.945700i | \(0.605378\pi\) | |||||||
\(198\) | −17.7450 | + | 10.8121i | −1.26108 | + | 0.768380i | ||||
\(199\) | 16.0088 | + | 14.8540i | 1.13483 | + | 1.05297i | 0.998053 | + | 0.0623692i | \(0.0198656\pi\) |
0.136779 | + | 0.990602i | \(0.456325\pi\) | |||||||
\(200\) | −8.02883 | − | 1.21015i | −0.567724 | − | 0.0855707i | ||||
\(201\) | −6.37218 | + | 2.31459i | −0.449459 | + | 0.163259i | ||||
\(202\) | −10.9316 | + | 10.1430i | −0.769144 | + | 0.713661i | ||||
\(203\) | −14.6583 | − | 13.2148i | −1.02881 | − | 0.927495i | ||||
\(204\) | 0.775796 | − | 4.38308i | 0.0543166 | − | 0.306877i | ||||
\(205\) | −6.12060 | − | 2.94752i | −0.427481 | − | 0.205864i | ||||
\(206\) | 1.98275 | + | 0.611597i | 0.138145 | + | 0.0426120i | ||||
\(207\) | 22.1613 | + | 12.1058i | 1.54031 | + | 0.841411i | ||||
\(208\) | 1.32755 | − | 3.38255i | 0.0920492 | − | 0.234538i | ||||
\(209\) | 1.21790 | − | 16.2518i | 0.0842440 | − | 1.12416i | ||||
\(210\) | 5.94418 | + | 6.55251i | 0.410187 | + | 0.452166i | ||||
\(211\) | −0.610792 | − | 8.15045i | −0.0420487 | − | 0.561100i | −0.977950 | − | 0.208839i | \(-0.933032\pi\) |
0.935901 | − | 0.352262i | \(-0.114587\pi\) | |||||||
\(212\) | −1.72998 | − | 0.533627i | −0.118815 | − | 0.0366497i | ||||
\(213\) | −7.17523 | + | 21.3100i | −0.491638 | + | 1.46014i | ||||
\(214\) | −5.22514 | − | 9.05020i | −0.357183 | − | 0.618659i | ||||
\(215\) | −1.33662 | − | 2.31510i | −0.0911568 | − | 0.157888i | ||||
\(216\) | 11.5383 | + | 10.7480i | 0.785085 | + | 0.731309i | ||||
\(217\) | −0.636654 | − | 0.775263i | −0.0432189 | − | 0.0526283i | ||||
\(218\) | −1.77529 | − | 4.52336i | −0.120238 | − | 0.306361i | ||||
\(219\) | 12.3677 | − | 17.1788i | 0.835732 | − | 1.16084i | ||||
\(220\) | −2.97968 | − | 1.43494i | −0.200890 | − | 0.0967434i | ||||
\(221\) | −6.95702 | − | 3.35032i | −0.467980 | − | 0.225367i | ||||
\(222\) | 3.35848 | + | 7.45609i | 0.225406 | + | 0.500420i | ||||
\(223\) | −9.04806 | − | 23.0541i | −0.605903 | − | 1.54382i | −0.823225 | − | 0.567716i | \(-0.807827\pi\) |
0.217321 | − | 0.976100i | \(-0.430268\pi\) | |||||||
\(224\) | −1.21798 | + | 5.71279i | −0.0813797 | + | 0.381702i | ||||
\(225\) | −5.59705 | − | 5.75333i | −0.373137 | − | 0.383556i | ||||
\(226\) | −0.710320 | − | 1.23031i | −0.0472498 | − | 0.0818390i | ||||
\(227\) | 13.0577 | + | 22.6166i | 0.866669 | + | 1.50112i | 0.865380 | + | 0.501116i | \(0.167077\pi\) |
0.00128956 | + | 0.999999i | \(0.499590\pi\) | |||||||
\(228\) | −2.00615 | + | 0.404193i | −0.132860 | + | 0.0267683i | ||||
\(229\) | −14.7649 | − | 4.55438i | −0.975695 | − | 0.300962i | −0.234399 | − | 0.972141i | \(-0.575312\pi\) |
−0.741296 | + | 0.671179i | \(0.765788\pi\) | |||||||
\(230\) | −1.21439 | − | 16.2049i | −0.0800743 | − | 1.06852i | ||||
\(231\) | −10.6215 | − | 22.7051i | −0.698842 | − | 1.49389i | ||||
\(232\) | −1.69166 | + | 22.5736i | −0.111063 | + | 1.48203i | ||||
\(233\) | 5.16978 | − | 13.1724i | 0.338684 | − | 0.862952i | −0.655494 | − | 0.755200i | \(-0.727540\pi\) |
0.994178 | − | 0.107751i | \(-0.0343651\pi\) | |||||||
\(234\) | 3.86543 | − | 2.35522i | 0.252691 | − | 0.153965i | ||||
\(235\) | 11.9110 | + | 3.67405i | 0.776986 | + | 0.239668i | ||||
\(236\) | 1.34844 | + | 0.649372i | 0.0877757 | + | 0.0422705i | ||||
\(237\) | 6.58992 | − | 2.39368i | 0.428061 | − | 0.155486i | ||||
\(238\) | −20.8360 | − | 6.10121i | −1.35060 | − | 0.395483i | ||||
\(239\) | 16.3438 | − | 15.1648i | 1.05719 | − | 0.980931i | 0.0573438 | − | 0.998354i | \(-0.481737\pi\) |
0.999848 | + | 0.0174236i | \(0.00554639\pi\) | |||||||
\(240\) | 1.40357 | − | 7.92985i | 0.0905998 | − | 0.511870i | ||||
\(241\) | −18.0673 | − | 2.72321i | −1.16382 | − | 0.175417i | −0.461406 | − | 0.887189i | \(-0.652655\pi\) |
−0.702411 | + | 0.711772i | \(0.747893\pi\) | |||||||
\(242\) | −17.5632 | − | 16.2962i | −1.12900 | − | 1.04756i | ||||
\(243\) | 2.65696 | + | 15.3604i | 0.170444 | + | 0.985367i | ||||
\(244\) | 1.95180 | 0.124951 | ||||||||
\(245\) | −8.64179 | + | 6.26233i | −0.552103 | + | 0.400086i | ||||
\(246\) | −4.46404 | + | 8.69350i | −0.284617 | + | 0.554277i | ||||
\(247\) | −0.265298 | + | 3.54015i | −0.0168805 | + | 0.225255i | ||||
\(248\) | −0.256043 | + | 1.12180i | −0.0162588 | + | 0.0712343i | ||||
\(249\) | 3.89055 | − | 5.40400i | 0.246553 | − | 0.342465i | ||||
\(250\) | −3.29736 | + | 14.4467i | −0.208543 | + | 0.913687i | ||||
\(251\) | −3.04026 | − | 13.3203i | −0.191900 | − | 0.840767i | −0.975587 | − | 0.219612i | \(-0.929521\pi\) |
0.783688 | − | 0.621155i | \(-0.213336\pi\) | |||||||
\(252\) | −2.38463 | + | 2.05453i | −0.150218 | + | 0.129423i | ||||
\(253\) | −10.2456 | + | 44.8887i | −0.644133 | + | 2.82213i | ||||
\(254\) | −12.1096 | − | 5.83166i | −0.759821 | − | 0.365911i | ||||
\(255\) | −16.5810 | − | 4.23352i | −1.03834 | − | 0.265113i | ||||
\(256\) | 8.21558 | − | 3.95642i | 0.513474 | − | 0.247276i | ||||
\(257\) | 13.5483 | − | 2.04208i | 0.845123 | − | 0.127382i | 0.287813 | − | 0.957687i | \(-0.407072\pi\) |
0.557309 | + | 0.830305i | \(0.311834\pi\) | |||||||
\(258\) | −3.37850 | + | 1.83698i | −0.210336 | + | 0.114366i | ||||
\(259\) | −9.38384 | + | 3.04259i | −0.583083 | + | 0.189057i | ||||
\(260\) | 0.649069 | + | 0.312575i | 0.0402535 | + | 0.0193851i | ||||
\(261\) | −14.8291 | + | 16.7594i | −0.917897 | + | 1.03738i | ||||
\(262\) | 15.9534 | − | 2.40459i | 0.985605 | − | 0.148556i | ||||
\(263\) | 8.44064 | + | 14.6196i | 0.520472 | + | 0.901484i | 0.999717 | + | 0.0238029i | \(0.00757741\pi\) |
−0.479244 | + | 0.877681i | \(0.659089\pi\) | |||||||
\(264\) | −13.1335 | + | 25.5768i | −0.808308 | + | 1.57414i | ||||
\(265\) | −2.54285 | + | 6.47907i | −0.156206 | + | 0.398006i | ||||
\(266\) | 0.888612 | + | 9.94205i | 0.0544843 | + | 0.609586i | ||||
\(267\) | 7.59194 | + | 16.8547i | 0.464619 | + | 1.03149i | ||||
\(268\) | −0.967790 | + | 1.21357i | −0.0591172 | + | 0.0741306i | ||||
\(269\) | 6.81404 | − | 4.64573i | 0.415459 | − | 0.283255i | −0.337496 | − | 0.941327i | \(-0.609580\pi\) |
0.752955 | + | 0.658072i | \(0.228628\pi\) | |||||||
\(270\) | 7.36692 | − | 6.80879i | 0.448337 | − | 0.414370i | ||||
\(271\) | −22.5311 | − | 3.39602i | −1.36867 | − | 0.206294i | −0.576750 | − | 0.816921i | \(-0.695679\pi\) |
−0.791918 | + | 0.610627i | \(0.790917\pi\) | |||||||
\(272\) | 7.22016 | + | 18.3967i | 0.437786 | + | 1.11546i | ||||
\(273\) | 2.31370 | + | 4.94591i | 0.140031 | + | 0.299340i | ||||
\(274\) | 8.74412 | − | 22.2796i | 0.528251 | − | 1.34596i | ||||
\(275\) | 7.31768 | − | 12.6746i | 0.441272 | − | 0.764306i | ||||
\(276\) | 5.77464 | − | 0.284434i | 0.347592 | − | 0.0171209i | ||||
\(277\) | 2.92529 | − | 7.45351i | 0.175764 | − | 0.447838i | −0.815659 | − | 0.578533i | \(-0.803626\pi\) |
0.991423 | + | 0.130695i | \(0.0417207\pi\) | |||||||
\(278\) | 7.32286 | − | 6.79462i | 0.439196 | − | 0.407514i | ||||
\(279\) | −0.872321 | + | 0.730033i | −0.0522245 | + | 0.0437059i | ||||
\(280\) | 11.7479 | + | 3.44001i | 0.702069 | + | 0.205580i | ||||
\(281\) | −0.0413013 | + | 0.551128i | −0.00246383 | + | 0.0328775i | −0.998300 | − | 0.0582812i | \(-0.981438\pi\) |
0.995836 | + | 0.0911587i | \(0.0290571\pi\) | |||||||
\(282\) | 5.72193 | − | 16.9938i | 0.340736 | − | 1.01197i | ||||
\(283\) | −3.66220 | + | 1.76362i | −0.217695 | + | 0.104836i | −0.539553 | − | 0.841952i | \(-0.681407\pi\) |
0.321858 | + | 0.946788i | \(0.395693\pi\) | |||||||
\(284\) | 1.14559 | + | 5.01914i | 0.0679780 | + | 0.297831i | ||||
\(285\) | 0.973221 | + | 7.80729i | 0.0576486 | + | 0.462464i | ||||
\(286\) | 6.05003 | + | 5.61360i | 0.357746 | + | 0.331939i | ||||
\(287\) | −9.83472 | − | 6.50056i | −0.580525 | − | 0.383716i | ||||
\(288\) | 6.49025 | + | 1.32082i | 0.382442 | + | 0.0778303i | ||||
\(289\) | 23.8855 | − | 7.36771i | 1.40503 | − | 0.433395i | ||||
\(290\) | 14.2399 | + | 2.14633i | 0.836198 | + | 0.126037i | ||||
\(291\) | −0.642550 | + | 3.63027i | −0.0376670 | + | 0.212810i | ||||
\(292\) | 0.362178 | − | 4.83293i | 0.0211949 | − | 0.282826i | ||||
\(293\) | −10.7961 | − | 18.6994i | −0.630717 | − | 1.09243i | −0.987405 | − | 0.158210i | \(-0.949428\pi\) |
0.356689 | − | 0.934223i | \(-0.383906\pi\) | |||||||
\(294\) | 8.68777 | + | 12.6581i | 0.506681 | + | 0.738236i | ||||
\(295\) | 2.87697 | − | 4.98307i | 0.167504 | − | 0.290125i | ||||
\(296\) | 9.34885 | + | 6.37394i | 0.543391 | + | 0.370478i | ||||
\(297\) | −25.6322 | + | 12.2823i | −1.48733 | + | 0.712689i | ||||
\(298\) | −1.31008 | − | 3.33803i | −0.0758908 | − | 0.193367i | ||||
\(299\) | 2.23181 | − | 9.77820i | 0.129069 | − | 0.565488i | ||||
\(300\) | −1.78064 | − | 0.454640i | −0.102805 | − | 0.0262487i | ||||
\(301\) | −1.75659 | − | 4.29362i | −0.101248 | − | 0.247480i | ||||
\(302\) | −28.4883 | + | 8.78748i | −1.63932 | + | 0.505663i | ||||
\(303\) | −16.2678 | + | 12.3057i | −0.934559 | + | 0.706944i | ||||
\(304\) | 6.66052 | − | 6.18006i | 0.382007 | − | 0.354451i | ||||
\(305\) | 0.560759 | − | 7.48280i | 0.0321089 | − | 0.428464i | ||||
\(306\) | −6.69836 | + | 23.6891i | −0.382920 | + | 1.35422i | ||||
\(307\) | 5.84428 | − | 2.81445i | 0.333550 | − | 0.160629i | −0.259610 | − | 0.965713i | \(-0.583594\pi\) |
0.593161 | + | 0.805084i | \(0.297880\pi\) | |||||||
\(308\) | −4.78781 | − | 3.16465i | −0.272811 | − | 0.180323i | ||||
\(309\) | 2.61459 | + | 1.10415i | 0.148739 | + | 0.0628126i | ||||
\(310\) | 0.699481 | + | 0.215761i | 0.0397279 | + | 0.0122544i | ||||
\(311\) | 15.3338 | + | 19.2279i | 0.869498 | + | 1.09032i | 0.995162 | + | 0.0982435i | \(0.0313224\pi\) |
−0.125664 | + | 0.992073i | \(0.540106\pi\) | |||||||
\(312\) | 2.86089 | − | 5.57144i | 0.161966 | − | 0.315420i | ||||
\(313\) | 20.3882 | 1.15241 | 0.576206 | − | 0.817305i | \(-0.304533\pi\) | ||||
0.576206 | + | 0.817305i | \(0.304533\pi\) | |||||||
\(314\) | 11.6238 | + | 14.5758i | 0.655972 | + | 0.822562i | ||||
\(315\) | 7.19154 | + | 9.73248i | 0.405197 | + | 0.548363i | ||||
\(316\) | 1.00086 | − | 1.25504i | 0.0563027 | − | 0.0706014i | ||||
\(317\) | 18.7258 | − | 23.4814i | 1.05174 | − | 1.31885i | 0.105847 | − | 0.994382i | \(-0.466245\pi\) |
0.945898 | − | 0.324464i | \(-0.105184\pi\) | |||||||
\(318\) | 9.22390 | + | 3.89527i | 0.517251 | + | 0.218436i | ||||
\(319\) | −36.7620 | − | 17.7036i | −2.05828 | − | 0.991214i | ||||
\(320\) | −4.95445 | − | 12.6237i | −0.276962 | − | 0.705688i | ||||
\(321\) | −5.87058 | − | 13.0331i | −0.327664 | − | 0.727439i | ||||
\(322\) | 1.70387 | − | 28.1487i | 0.0949530 | − | 1.56866i | ||||
\(323\) | −12.0382 | − | 15.0955i | −0.669825 | − | 0.839934i | ||||
\(324\) | 2.35463 | + | 2.68216i | 0.130813 | + | 0.149009i | ||||
\(325\) | −1.59402 | + | 2.76093i | −0.0884206 | + | 0.153149i | ||||
\(326\) | −4.74419 | + | 12.0880i | −0.262756 | + | 0.669492i | ||||
\(327\) | −1.79603 | − | 6.39943i | −0.0993206 | − | 0.353889i | ||||
\(328\) | 1.01050 | + | 13.4842i | 0.0557955 | + | 0.744539i | ||||
\(329\) | 19.6213 | + | 9.10480i | 1.08176 | + | 0.501964i | ||||
\(330\) | 15.6012 | + | 9.54762i | 0.858816 | + | 0.525579i | ||||
\(331\) | −8.41961 | − | 10.5579i | −0.462783 | − | 0.580312i | 0.494604 | − | 0.869118i | \(-0.335313\pi\) |
−0.957388 | + | 0.288806i | \(0.906742\pi\) | |||||||
\(332\) | 0.113931 | − | 1.52031i | 0.00625280 | − | 0.0834378i | ||||
\(333\) | 3.54866 | + | 10.6078i | 0.194466 | + | 0.581302i | ||||
\(334\) | −0.848415 | − | 11.3213i | −0.0464232 | − | 0.619475i | ||||
\(335\) | 4.37454 | + | 4.05898i | 0.239006 | + | 0.221766i | ||||
\(336\) | 4.26908 | − | 13.3070i | 0.232897 | − | 0.725959i | ||||
\(337\) | 24.7530 | − | 22.9674i | 1.34838 | − | 1.25112i | 0.407147 | − | 0.913363i | \(-0.366524\pi\) |
0.941235 | − | 0.337752i | \(-0.109667\pi\) | |||||||
\(338\) | 10.7492 | + | 9.97384i | 0.584681 | + | 0.542505i | ||||
\(339\) | −0.798063 | − | 1.77176i | −0.0433448 | − | 0.0962290i | ||||
\(340\) | −3.74403 | + | 1.15488i | −0.203049 | + | 0.0626322i | ||||
\(341\) | −1.71365 | − | 1.16834i | −0.0927991 | − | 0.0632693i | ||||
\(342\) | 11.2634 | − | 1.11227i | 0.609054 | − | 0.0601447i | ||||
\(343\) | −16.3251 | + | 8.74594i | −0.881472 | + | 0.472237i | ||||
\(344\) | −2.66051 | + | 4.60813i | −0.143445 | + | 0.248454i | ||||
\(345\) | 0.568611 | − | 22.2205i | 0.0306130 | − | 1.19631i | ||||
\(346\) | −3.75457 | + | 16.4499i | −0.201847 | + | 0.884350i | ||||
\(347\) | −7.87963 | + | 9.88074i | −0.423001 | + | 0.530426i | −0.946975 | − | 0.321308i | \(-0.895877\pi\) |
0.523974 | + | 0.851734i | \(0.324449\pi\) | |||||||
\(348\) | −0.892987 | + | 5.04518i | −0.0478691 | + | 0.270450i | ||||
\(349\) | 10.0298 | + | 3.09379i | 0.536885 | + | 0.165607i | 0.551328 | − | 0.834289i | \(-0.314121\pi\) |
−0.0144431 | + | 0.999896i | \(0.504598\pi\) | |||||||
\(350\) | −3.15482 | + | 8.39024i | −0.168632 | + | 0.448477i | ||||
\(351\) | 5.58352 | − | 2.67547i | 0.298026 | − | 0.142806i | ||||
\(352\) | 0.902475 | + | 12.0427i | 0.0481021 | + | 0.641878i | ||||
\(353\) | 19.9958 | − | 18.5534i | 1.06427 | − | 0.987496i | 0.0643218 | − | 0.997929i | \(-0.479512\pi\) |
0.999946 | + | 0.0104334i | \(0.00332111\pi\) | |||||||
\(354\) | −7.06022 | − | 4.32072i | −0.375246 | − | 0.229644i | ||||
\(355\) | 19.5715 | − | 2.94993i | 1.03875 | − | 0.156566i | ||||
\(356\) | 3.49698 | + | 2.38420i | 0.185339 | + | 0.126362i | ||||
\(357\) | −27.5205 | − | 11.1596i | −1.45654 | − | 0.590630i | ||||
\(358\) | 16.5842 | − | 11.3069i | 0.876504 | − | 0.597590i | ||||
\(359\) | 9.42862 | − | 8.74848i | 0.497623 | − | 0.461727i | −0.390983 | − | 0.920398i | \(-0.627865\pi\) |
0.888606 | + | 0.458671i | \(0.151674\pi\) | |||||||
\(360\) | 3.77669 | − | 13.3565i | 0.199049 | − | 0.703948i | ||||
\(361\) | 5.06158 | − | 8.76692i | 0.266399 | − | 0.461417i | ||||
\(362\) | 6.16355 | 0.323949 | ||||||||
\(363\) | −21.6688 | − | 24.5859i | −1.13732 | − | 1.29043i | ||||
\(364\) | 1.04294 | + | 0.689363i | 0.0546648 | + | 0.0361324i | ||||
\(365\) | −18.4244 | − | 2.77704i | −0.964379 | − | 0.145357i | ||||
\(366\) | −10.7403 | − | 1.08179i | −0.561405 | − | 0.0565459i | ||||
\(367\) | −1.89345 | − | 25.2664i | −0.0988375 | − | 1.31889i | −0.797446 | − | 0.603391i | \(-0.793816\pi\) |
0.698608 | − | 0.715504i | \(-0.253803\pi\) | |||||||
\(368\) | −21.2093 | + | 14.4603i | −1.10561 | + | 0.753794i | ||||
\(369\) | −7.26703 | + | 11.2195i | −0.378307 | + | 0.584064i | ||||
\(370\) | 4.48799 | − | 5.62776i | 0.233319 | − | 0.292573i | ||||
\(371\) | −5.88860 | + | 10.5458i | −0.305721 | + | 0.547511i | ||||
\(372\) | −0.0831061 | + | 0.246821i | −0.00430885 | + | 0.0127971i | ||||
\(373\) | 5.04996 | − | 8.74679i | 0.261477 | − | 0.452891i | −0.705158 | − | 0.709051i | \(-0.749124\pi\) |
0.966635 | + | 0.256159i | \(0.0824571\pi\) | |||||||
\(374\) | −44.8867 | −2.32103 | ||||||||
\(375\) | −6.46786 | + | 19.2092i | −0.333999 | + | 0.991960i | ||||
\(376\) | −5.52091 | − | 24.1887i | −0.284719 | − | 1.24744i | ||||
\(377\) | 8.00794 | + | 3.85642i | 0.412430 | + | 0.198616i | ||||
\(378\) | 14.2608 | − | 9.98392i | 0.733497 | − | 0.513517i | ||||
\(379\) | 9.12947 | − | 4.39652i | 0.468949 | − | 0.225834i | −0.184458 | − | 0.982840i | \(-0.559053\pi\) |
0.653408 | + | 0.757006i | \(0.273339\pi\) | |||||||
\(380\) | 1.12313 | + | 1.40836i | 0.0576154 | + | 0.0722474i | ||||
\(381\) | −15.6811 | − | 9.59656i | −0.803369 | − | 0.491647i | ||||
\(382\) | −3.74270 | − | 16.3979i | −0.191493 | − | 0.838987i | ||||
\(383\) | −2.71990 | + | 1.85439i | −0.138980 | + | 0.0947551i | −0.630814 | − | 0.775934i | \(-0.717279\pi\) |
0.491834 | + | 0.870689i | \(0.336327\pi\) | |||||||
\(384\) | −11.1480 | + | 4.04932i | −0.568893 | + | 0.206641i | ||||
\(385\) | −13.5082 | + | 17.4463i | −0.688442 | + | 0.889145i | ||||
\(386\) | −5.03765 | − | 22.0714i | −0.256410 | − | 1.12340i | ||||
\(387\) | −4.84979 | + | 2.03693i | −0.246529 | + | 0.103543i | ||||
\(388\) | 0.308382 | + | 0.785743i | 0.0156557 | + | 0.0398901i | ||||
\(389\) | −5.98947 | + | 1.84751i | −0.303678 | + | 0.0936723i | −0.442849 | − | 0.896596i | \(-0.646032\pi\) |
0.139171 | + | 0.990268i | \(0.455556\pi\) | |||||||
\(390\) | −3.39843 | − | 2.07978i | −0.172086 | − | 0.105314i | ||||
\(391\) | 27.2742 | + | 47.2402i | 1.37931 | + | 2.38904i | ||||
\(392\) | 19.3956 | + | 8.66421i | 0.979627 | + | 0.437609i | ||||
\(393\) | 22.0414 | − | 1.08567i | 1.11184 | − | 0.0547647i | ||||
\(394\) | 10.4096 | − | 5.01301i | 0.524429 | − | 0.252552i | ||||
\(395\) | −4.52402 | − | 4.19767i | −0.227628 | − | 0.211208i | ||||
\(396\) | −3.53779 | + | 5.46197i | −0.177781 | + | 0.274474i | ||||
\(397\) | 16.0722 | − | 4.95762i | 0.806640 | − | 0.248816i | 0.136106 | − | 0.990694i | \(-0.456541\pi\) |
0.670534 | + | 0.741879i | \(0.266065\pi\) | |||||||
\(398\) | −26.4249 | − | 8.15100i | −1.32456 | − | 0.408573i | ||||
\(399\) | −0.153479 | + | 13.6525i | −0.00768358 | + | 0.683479i | ||||
\(400\) | 7.79693 | − | 2.40503i | 0.389847 | − | 0.120252i | ||||
\(401\) | 2.49759 | − | 1.70283i | 0.124724 | − | 0.0850351i | −0.499351 | − | 0.866400i | \(-0.666428\pi\) |
0.624075 | + | 0.781364i | \(0.285476\pi\) | |||||||
\(402\) | 5.99815 | − | 6.14160i | 0.299161 | − | 0.306315i | ||||
\(403\) | 0.373287 | + | 0.254503i | 0.0185947 | + | 0.0126777i | ||||
\(404\) | −1.70622 | + | 4.34737i | −0.0848875 | + | 0.216290i | ||||
\(405\) | 10.9594 | − | 8.25660i | 0.544575 | − | 0.410274i | ||||
\(406\) | 23.9835 | + | 7.02286i | 1.19028 | + | 0.348539i | ||||
\(407\) | −16.8512 | + | 11.4890i | −0.835283 | + | 0.569487i | ||||
\(408\) | 9.20423 | + | 32.7956i | 0.455677 | + | 1.62362i | ||||
\(409\) | −22.2523 | − | 27.9035i | −1.10031 | − | 1.37974i | −0.918038 | − | 0.396493i | \(-0.870227\pi\) |
−0.182269 | − | 0.983249i | \(-0.558344\pi\) | |||||||
\(410\) | 8.60221 | 0.424833 | ||||||||
\(411\) | 14.9544 | − | 29.1229i | 0.737645 | − | 1.43653i | ||||
\(412\) | 0.642559 | − | 0.0968501i | 0.0316566 | − | 0.00477146i | ||||
\(413\) | 6.11306 | − | 7.89522i | 0.300804 | − | 0.388499i | ||||
\(414\) | −31.9342 | − | 1.63543i | −1.56948 | − | 0.0803768i | ||||
\(415\) | −5.79583 | − | 0.873581i | −0.284506 | − | 0.0428824i | ||||
\(416\) | −0.196588 | − | 2.62328i | −0.00963852 | − | 0.128617i | ||||
\(417\) | 10.8975 | − | 8.24335i | 0.533651 | − | 0.403678i | ||||
\(418\) | 7.53947 | + | 19.2103i | 0.368768 | + | 0.939605i | ||||
\(419\) | 1.21729 | + | 0.183477i | 0.0594684 | + | 0.00896342i | 0.178709 | − | 0.983902i | \(-0.442808\pi\) |
−0.119241 | + | 0.992865i | \(0.538046\pi\) | |||||||
\(420\) | 2.56758 | + | 1.04116i | 0.125285 | + | 0.0508034i | ||||
\(421\) | −9.52200 | + | 1.43521i | −0.464074 | + | 0.0699479i | −0.376918 | − | 0.926247i | \(-0.623016\pi\) |
−0.0871561 | + | 0.996195i | \(0.527778\pi\) | |||||||
\(422\) | 5.17480 | + | 8.96302i | 0.251905 | + | 0.436313i | ||||
\(423\) | 10.1168 | − | 22.3434i | 0.491893 | − | 1.08637i | ||||
\(424\) | 13.6994 | − | 2.06485i | 0.665300 | − | 0.100278i | ||||
\(425\) | −3.85825 | − | 16.9041i | −0.187153 | − | 0.819970i | ||||
\(426\) | −3.52203 | − | 28.2541i | −0.170643 | − | 1.36892i | ||||
\(427\) | 2.71525 | − | 12.7356i | 0.131400 | − | 0.616317i | ||||
\(428\) | −2.70409 | − | 1.84361i | −0.130707 | − | 0.0891145i | ||||
\(429\) | 7.46430 | + | 8.46917i | 0.360380 | + | 0.408896i | ||||
\(430\) | 2.79685 | + | 1.90686i | 0.134876 | + | 0.0919571i | ||||
\(431\) | 12.5147 | + | 3.86029i | 0.602814 | + | 0.185943i | 0.581115 | − | 0.813821i | \(-0.302616\pi\) |
0.0216984 | + | 0.999765i | \(0.493093\pi\) | |||||||
\(432\) | −15.1331 | − | 4.70030i | −0.728091 | − | 0.226144i | ||||
\(433\) | −0.659222 | + | 2.88824i | −0.0316802 | + | 0.138800i | −0.988295 | − | 0.152556i | \(-0.951249\pi\) |
0.956615 | + | 0.291356i | \(0.0941066\pi\) | |||||||
\(434\) | 1.15228 | + | 0.534687i | 0.0553111 | + | 0.0256658i | ||||
\(435\) | 19.0857 | + | 4.87303i | 0.915088 | + | 0.233644i | ||||
\(436\) | −1.11556 | − | 1.03509i | −0.0534256 | − | 0.0495717i | ||||
\(437\) | 15.6364 | − | 19.6074i | 0.747989 | − | 0.937948i | ||||
\(438\) | −4.67164 | + | 26.3938i | −0.223220 | + | 1.26114i | ||||
\(439\) | 12.2659 | − | 5.90692i | 0.585417 | − | 0.281922i | −0.117639 | − | 0.993056i | \(-0.537533\pi\) |
0.703056 | + | 0.711134i | \(0.251818\pi\) | |||||||
\(440\) | 25.3082 | 1.20652 | ||||||||
\(441\) | 10.0885 | + | 18.4180i | 0.480405 | + | 0.877047i | ||||
\(442\) | 9.77776 | 0.465080 | ||||||||
\(443\) | 5.64493 | − | 2.71845i | 0.268199 | − | 0.129158i | −0.294952 | − | 0.955512i | \(-0.595304\pi\) |
0.563150 | + | 0.826355i | \(0.309589\pi\) | |||||||
\(444\) | 1.96078 | + | 1.64746i | 0.0930544 | + | 0.0781851i | ||||
\(445\) | 10.1452 | − | 12.7217i | 0.480930 | − | 0.603067i | ||||
\(446\) | 22.9889 | + | 21.3306i | 1.08855 | + | 1.01003i | ||||
\(447\) | −1.32538 | − | 4.72248i | −0.0626885 | − | 0.223366i | ||||
\(448\) | −5.56522 | − | 22.8660i | −0.262932 | − | 1.08032i | ||||
\(449\) | 3.03417 | − | 13.2936i | 0.143191 | − | 0.627363i | −0.851491 | − | 0.524370i | \(-0.824301\pi\) |
0.994682 | − | 0.102993i | \(-0.0328419\pi\) | |||||||
\(450\) | 9.54646 | + | 3.48870i | 0.450025 | + | 0.164459i | ||||
\(451\) | −23.2904 | − | 7.18413i | −1.09670 | − | 0.338288i | ||||
\(452\) | −0.367601 | − | 0.250626i | −0.0172905 | − | 0.0117885i | ||||
\(453\) | −39.9758 | + | 8.05422i | −1.87823 | + | 0.378420i | ||||
\(454\) | −27.3230 | − | 18.6285i | −1.28233 | − | 0.874278i | ||||
\(455\) | 2.94252 | − | 3.80036i | 0.137947 | − | 0.178164i | ||||
\(456\) | 12.4896 | − | 9.44773i | 0.584880 | − | 0.442431i | ||||
\(457\) | 1.94962 | + | 8.54182i | 0.0911992 | + | 0.399570i | 0.999838 | − | 0.0180138i | \(-0.00573427\pi\) |
−0.908639 | + | 0.417583i | \(0.862877\pi\) | |||||||
\(458\) | 19.3471 | − | 2.91610i | 0.904030 | − | 0.136261i | ||||
\(459\) | −12.3634 | + | 31.3215i | −0.577074 | + | 1.46196i | ||||
\(460\) | −2.54460 | − | 4.40737i | −0.118642 | − | 0.205495i | ||||
\(461\) | 7.14913 | − | 1.07756i | 0.332968 | − | 0.0501869i | 0.0195694 | − | 0.999809i | \(-0.493770\pi\) |
0.313399 | + | 0.949622i | \(0.398532\pi\) | |||||||
\(462\) | 24.5922 | + | 20.0680i | 1.14413 | + | 0.933648i | ||||
\(463\) | −15.0592 | − | 2.26980i | −0.699858 | − | 0.105487i | −0.210531 | − | 0.977587i | \(-0.567519\pi\) |
−0.489327 | + | 0.872100i | \(0.662758\pi\) | |||||||
\(464\) | −8.31083 | − | 21.1757i | −0.385821 | − | 0.983055i | ||||
\(465\) | 0.922384 | + | 0.389525i | 0.0427746 | + | 0.0180638i | ||||
\(466\) | 1.33904 | + | 17.8683i | 0.0620300 | + | 0.827733i | ||||
\(467\) | 4.77673 | + | 0.719977i | 0.221041 | + | 0.0333166i | 0.258629 | − | 0.965977i | \(-0.416729\pi\) |
−0.0375879 | + | 0.999293i | \(0.511967\pi\) | |||||||
\(468\) | 0.770644 | − | 1.18979i | 0.0356230 | − | 0.0549981i | ||||
\(469\) | 6.57225 | + | 8.00313i | 0.303478 | + | 0.369550i | ||||
\(470\) | −15.6074 | + | 2.35244i | −0.719917 | + | 0.108510i | ||||
\(471\) | 13.8215 | + | 21.4304i | 0.636860 | + | 0.987461i | ||||
\(472\) | −11.4531 | −0.527171 | ||||||||
\(473\) | −5.97994 | − | 7.49860i | −0.274958 | − | 0.344786i | ||||
\(474\) | −6.20311 | + | 6.35146i | −0.284918 | + | 0.291732i | ||||
\(475\) | −6.58643 | + | 4.49055i | −0.302206 | + | 0.206041i | ||||
\(476\) | −6.70816 | + | 1.10971i | −0.307468 | + | 0.0508635i | ||||
\(477\) | 12.0193 | + | 6.56567i | 0.550328 | + | 0.300622i | ||||
\(478\) | −10.3144 | + | 26.2806i | −0.471768 | + | 1.20205i | ||||
\(479\) | −15.2382 | − | 10.3892i | −0.696252 | − | 0.474696i | 0.162751 | − | 0.986667i | \(-0.447963\pi\) |
−0.859003 | + | 0.511971i | \(0.828916\pi\) | |||||||
\(480\) | −1.57536 | − | 5.61316i | −0.0719050 | − | 0.256205i | ||||
\(481\) | 3.67073 | − | 2.50266i | 0.167371 | − | 0.114112i | ||||
\(482\) | 22.1086 | − | 6.81960i | 1.00702 | − | 0.310624i | ||||
\(483\) | 6.17746 | − | 38.0754i | 0.281084 | − | 1.73249i | ||||
\(484\) | −7.17000 | − | 2.21165i | −0.325909 | − | 0.100530i | ||||
\(485\) | 3.10098 | − | 0.956526i | 0.140808 | − | 0.0434336i | ||||
\(486\) | −11.4704 | − | 16.0644i | −0.520309 | − | 0.728695i | ||||
\(487\) | −4.32713 | − | 4.01499i | −0.196081 | − | 0.181936i | 0.576022 | − | 0.817434i | \(-0.304604\pi\) |
−0.772103 | + | 0.635498i | \(0.780795\pi\) | |||||||
\(488\) | −13.4569 | + | 6.48052i | −0.609167 | + | 0.293360i | ||||
\(489\) | −8.11361 | + | 15.8009i | −0.366910 | + | 0.714539i | ||||
\(490\) | 6.41853 | − | 11.8924i | 0.289960 | − | 0.537244i | ||||
\(491\) | 0.208841 | + | 0.361722i | 0.00942484 | + | 0.0163243i | 0.870699 | − | 0.491816i | \(-0.163667\pi\) |
−0.861275 | + | 0.508140i | \(0.830333\pi\) | |||||||
\(492\) | −0.0782921 | + | 3.05955i | −0.00352968 | + | 0.137935i | ||||
\(493\) | −46.1923 | + | 14.2484i | −2.08040 | + | 0.641718i | ||||
\(494\) | −1.64234 | − | 4.18461i | −0.0738923 | − | 0.188274i | ||||
\(495\) | 19.9237 | + | 15.1324i | 0.895502 | + | 0.680152i | ||||
\(496\) | −0.257302 | − | 1.12731i | −0.0115532 | − | 0.0506179i | ||||
\(497\) | 34.3438 | − | 0.492608i | 1.54053 | − | 0.0220965i | ||||
\(498\) | −1.46957 | + | 8.30277i | −0.0658531 | + | 0.372056i | ||||
\(499\) | −14.1315 | + | 9.63472i | −0.632615 | + | 0.431309i | −0.836714 | − | 0.547641i | \(-0.815526\pi\) |
0.204099 | + | 0.978950i | \(0.434574\pi\) | |||||||
\(500\) | 1.03265 | + | 4.52433i | 0.0461815 | + | 0.202334i | ||||
\(501\) | 0.397252 | − | 15.5241i | 0.0177479 | − | 0.693564i | ||||
\(502\) | 10.7869 | + | 13.5263i | 0.481441 | + | 0.603708i | ||||
\(503\) | −7.76262 | + | 3.73828i | −0.346118 | + | 0.166682i | −0.598863 | − | 0.800851i | \(-0.704381\pi\) |
0.252745 | + | 0.967533i | \(0.418667\pi\) | |||||||
\(504\) | 9.61956 | − | 22.0829i | 0.428489 | − | 0.983650i | ||||
\(505\) | 16.1767 | + | 7.79031i | 0.719856 | + | 0.346664i | ||||
\(506\) | −12.9736 | − | 56.8412i | −0.576748 | − | 2.52690i | ||||
\(507\) | 13.2620 | + | 15.0474i | 0.588986 | + | 0.668279i | ||||
\(508\) | −4.20926 | −0.186756 | ||||||||
\(509\) | −20.0898 | + | 34.7966i | −0.890466 | + | 1.54233i | −0.0511478 | + | 0.998691i | \(0.516288\pi\) |
−0.839318 | + | 0.543641i | \(0.817045\pi\) | |||||||
\(510\) | 21.2427 | − | 4.27991i | 0.940640 | − | 0.189518i | ||||
\(511\) | −31.0312 | − | 9.08657i | −1.37274 | − | 0.401966i | ||||
\(512\) | −15.7382 | + | 19.7350i | −0.695536 | + | 0.872174i | ||||
\(513\) | 15.4814 | + | 0.0302156i | 0.683520 | + | 0.00133405i | ||||
\(514\) | −14.3349 | + | 9.77339i | −0.632287 | + | 0.431086i | ||||
\(515\) | −0.186695 | − | 2.49127i | −0.00822675 | − | 0.109778i | ||||
\(516\) | −0.703669 | + | 0.977402i | −0.0309773 | + | 0.0430277i | ||||
\(517\) | 44.2216 | + | 6.66533i | 1.94486 | + | 0.293141i | ||||
\(518\) | 9.03409 | − | 8.62680i | 0.396935 | − | 0.379040i | ||||
\(519\) | −7.36471 | + | 21.8728i | −0.323275 | + | 0.960110i | ||||
\(520\) | −5.51293 | −0.241758 | ||||||||
\(521\) | −3.93086 | + | 6.80845i | −0.172214 | + | 0.298284i | −0.939194 | − | 0.343388i | \(-0.888425\pi\) |
0.766980 | + | 0.641672i | \(0.221759\pi\) | |||||||
\(522\) | 7.71021 | − | 27.2676i | 0.337467 | − | 1.19347i | ||||
\(523\) | −5.28466 | + | 4.90345i | −0.231082 | + | 0.214413i | −0.787212 | − | 0.616683i | \(-0.788476\pi\) |
0.556130 | + | 0.831095i | \(0.312286\pi\) | |||||||
\(524\) | 4.17469 | − | 2.84625i | 0.182372 | − | 0.124339i | ||||
\(525\) | −5.44368 | + | 10.9863i | −0.237582 | + | 0.479480i | ||||
\(526\) | −17.6619 | − | 12.0417i | −0.770094 | − | 0.525041i | ||||
\(527\) | −2.42971 | + | 0.366219i | −0.105840 | + | 0.0159528i | ||||
\(528\) | 0.739113 | − | 28.8835i | 0.0321658 | − | 1.25699i | ||||
\(529\) | −35.0783 | + | 32.5479i | −1.52514 | + | 1.41513i | ||||
\(530\) | −0.658633 | − | 8.78884i | −0.0286092 | − | 0.381763i | ||||
\(531\) | −9.01635 | − | 6.84810i | −0.391276 | − | 0.297182i | ||||
\(532\) | 1.60167 | + | 2.68451i | 0.0694414 | + | 0.116388i | ||||
\(533\) | 5.07339 | + | 1.56493i | 0.219753 | + | 0.0677848i | ||||
\(534\) | −17.9216 | − | 15.0579i | −0.775544 | − | 0.651619i | ||||
\(535\) | −7.84494 | + | 9.83725i | −0.339166 | + | 0.425301i | ||||
\(536\) | 2.64317 | − | 11.5805i | 0.114167 | − | 0.500200i | ||||
\(537\) | 24.1203 | − | 13.1149i | 1.04087 | − | 0.565948i | ||||
\(538\) | −5.22150 | + | 9.04390i | −0.225115 | + | 0.389910i | ||||
\(539\) | −27.3101 | + | 26.8381i | −1.17633 | + | 1.15600i | ||||
\(540\) | 1.15347 | − | 2.92221i | 0.0496374 | − | 0.125752i | ||||
\(541\) | 20.3687 | + | 13.8871i | 0.875719 | + | 0.597055i | 0.915574 | − | 0.402151i | \(-0.131737\pi\) |
−0.0398549 | + | 0.999205i | \(0.512690\pi\) | |||||||
\(542\) | 27.5709 | − | 8.50449i | 1.18427 | − | 0.365299i | ||||
\(543\) | 8.38829 | + | 0.844888i | 0.359976 | + | 0.0362576i | ||||
\(544\) | 10.4880 | + | 9.73141i | 0.449668 | + | 0.417231i | ||||
\(545\) | −4.28882 | + | 3.97944i | −0.183713 | + | 0.170461i | ||||
\(546\) | −5.35697 | − | 4.37146i | −0.229257 | − | 0.187081i | ||||
\(547\) | 16.4910 | + | 15.3014i | 0.705105 | + | 0.654242i | 0.948897 | − | 0.315586i | \(-0.102201\pi\) |
−0.243792 | + | 0.969828i | \(0.578391\pi\) | |||||||
\(548\) | −0.560145 | − | 7.47461i | −0.0239282 | − | 0.319300i | ||||
\(549\) | −14.4687 | − | 2.94452i | −0.617511 | − | 0.125669i | ||||
\(550\) | −1.38492 | + | 18.4805i | −0.0590532 | + | 0.788010i | ||||
\(551\) | 13.8567 | + | 17.3758i | 0.590316 | + | 0.740233i | ||||
\(552\) | −38.8696 | + | 21.1345i | −1.65440 | + | 0.899544i | ||||
\(553\) | −6.79683 | − | 8.27660i | −0.289031 | − | 0.351957i | ||||
\(554\) | 0.757690 | + | 10.1107i | 0.0321912 | + | 0.429561i | ||||
\(555\) | 6.87938 | − | 7.04391i | 0.292014 | − | 0.298997i | ||||
\(556\) | 1.14296 | − | 2.91222i | 0.0484723 | − | 0.123506i | ||||
\(557\) | −20.4867 | + | 35.4839i | −0.868047 | + | 1.50350i | −0.00405823 | + | 0.999992i | \(0.501292\pi\) |
−0.863989 | + | 0.503510i | \(0.832042\pi\) | |||||||
\(558\) | 0.594115 | − | 1.31214i | 0.0251509 | − | 0.0555472i | ||||
\(559\) | 1.30262 | + | 1.63344i | 0.0550950 | + | 0.0690870i | ||||
\(560\) | −12.1364 | + | 2.00768i | −0.512856 | + | 0.0848401i | ||||
\(561\) | −61.0886 | − | 6.15298i | −2.57916 | − | 0.259779i | ||||
\(562\) | −0.255678 | − | 0.651456i | −0.0107851 | − | 0.0274800i | ||||
\(563\) | −25.7600 | − | 12.4053i | −1.08565 | − | 0.522823i | −0.196533 | − | 0.980497i | \(-0.562968\pi\) |
−0.889120 | + | 0.457674i | \(0.848683\pi\) | |||||||
\(564\) | −0.694643 | − | 5.57250i | −0.0292497 | − | 0.234645i | ||||
\(565\) | −1.06646 | + | 1.33730i | −0.0448665 | + | 0.0562608i | ||||
\(566\) | 3.20913 | − | 4.02412i | 0.134890 | − | 0.169146i | ||||
\(567\) | 20.7769 | − | 11.6328i | 0.872546 | − | 0.488531i | ||||
\(568\) | −24.5634 | − | 30.8015i | −1.03066 | − | 1.29240i | ||||
\(569\) | −15.1893 | −0.636770 | −0.318385 | − | 0.947962i | \(-0.603140\pi\) | ||||
−0.318385 | + | 0.947962i | \(0.603140\pi\) | |||||||
\(570\) | −5.39974 | − | 8.37239i | −0.226170 | − | 0.350681i | ||||
\(571\) | −10.4823 | − | 13.1444i | −0.438672 | − | 0.550077i | 0.512521 | − | 0.858675i | \(-0.328712\pi\) |
−0.951193 | + | 0.308598i | \(0.900140\pi\) | |||||||
\(572\) | 2.46987 | + | 0.761853i | 0.103270 | + | 0.0318547i | ||||
\(573\) | −2.84585 | − | 22.8297i | −0.118887 | − | 0.953726i | ||||
\(574\) | 14.7916 | + | 2.01296i | 0.617390 | + | 0.0840194i | ||||
\(575\) | 20.2910 | − | 9.77161i | 0.846192 | − | 0.407504i | ||||
\(576\) | −25.8679 | + | 6.55095i | −1.07783 | + | 0.272956i | ||||
\(577\) | 1.10635 | − | 14.7632i | 0.0460580 | − | 0.614601i | −0.925645 | − | 0.378394i | \(-0.876477\pi\) |
0.971703 | − | 0.236207i | \(-0.0759044\pi\) | |||||||
\(578\) | −23.2023 | + | 21.5286i | −0.965090 | + | 0.895472i | ||||
\(579\) | −3.83050 | − | 30.7287i | −0.159190 | − | 1.27704i | ||||
\(580\) | 4.30960 | − | 1.32934i | 0.178947 | − | 0.0551977i | ||||
\(581\) | −9.76159 | − | 2.85839i | −0.404979 | − | 0.118586i | ||||
\(582\) | −1.26145 | − | 4.49469i | −0.0522889 | − | 0.186311i | ||||
\(583\) | −5.55676 | + | 24.3458i | −0.230138 | + | 1.00830i | ||||
\(584\) | 13.5496 | + | 34.5238i | 0.560687 | + | 1.42861i | ||||
\(585\) | −4.34001 | − | 3.29633i | −0.179437 | − | 0.136286i | ||||
\(586\) | 22.5907 | + | 15.4021i | 0.933213 | + | 0.636254i | ||||
\(587\) | −20.5965 | + | 35.6741i | −0.850108 | + | 1.47243i | 0.0310028 | + | 0.999519i | \(0.490130\pi\) |
−0.881111 | + | 0.472910i | \(0.843203\pi\) | |||||||
\(588\) | 4.17135 | + | 2.39112i | 0.172024 | + | 0.0986080i | ||||
\(589\) | 0.564842 | + | 0.978335i | 0.0232739 | + | 0.0403116i | ||||
\(590\) | −0.544487 | + | 7.26567i | −0.0224162 | + | 0.299123i | ||||
\(591\) | 14.8542 | − | 5.39554i | 0.611019 | − | 0.221943i | ||||
\(592\) | −11.2436 | − | 1.69470i | −0.462108 | − | 0.0696516i | ||||
\(593\) | 16.4893 | − | 5.08627i | 0.677134 | − | 0.208868i | 0.0629329 | − | 0.998018i | \(-0.479955\pi\) |
0.614201 | + | 0.789150i | \(0.289478\pi\) | |||||||
\(594\) | 22.4950 | − | 28.0951i | 0.922980 | − | 1.15276i | ||||
\(595\) | 2.32713 | + | 26.0366i | 0.0954029 | + | 1.06740i | ||||
\(596\) | −0.823230 | − | 0.763845i | −0.0337208 | − | 0.0312883i | ||||
\(597\) | −34.8457 | − | 14.7154i | −1.42614 | − | 0.602261i | ||||
\(598\) | 2.82607 | + | 12.3818i | 0.115567 | + | 0.506331i | ||||
\(599\) | 40.2601 | − | 19.3882i | 1.64498 | − | 0.792182i | 0.645383 | − | 0.763859i | \(-0.276698\pi\) |
0.999599 | − | 0.0283227i | \(-0.00901661\pi\) | |||||||
\(600\) | 13.7864 | − | 2.77765i | 0.562827 | − | 0.113397i | ||||
\(601\) | −2.96314 | + | 39.5403i | −0.120869 | + | 1.61288i | 0.526137 | + | 0.850400i | \(0.323640\pi\) |
−0.647006 | + | 0.762485i | \(0.723979\pi\) | |||||||
\(602\) | 4.36301 | + | 3.93336i | 0.177823 | + | 0.160312i | ||||
\(603\) | 9.00508 | − | 7.53621i | 0.366715 | − | 0.306898i | ||||
\(604\) | −6.84424 | + | 6.35052i | −0.278488 | + | 0.258399i | ||||
\(605\) | −10.5390 | + | 26.8529i | −0.428471 | + | 1.09173i | ||||
\(606\) | 11.7985 | − | 22.9769i | 0.479280 | − | 0.933373i | ||||
\(607\) | 2.74166 | − | 4.74870i | 0.111281 | − | 0.192744i | −0.805006 | − | 0.593266i | \(-0.797838\pi\) |
0.916287 | + | 0.400523i | \(0.131171\pi\) | |||||||
\(608\) | 2.40314 | − | 6.12311i | 0.0974604 | − | 0.248325i | ||||
\(609\) | 31.6778 | + | 12.8454i | 1.28365 | + | 0.520522i | ||||
\(610\) | 3.47140 | + | 8.84498i | 0.140553 | + | 0.358123i | ||||
\(611\) | −9.63287 | − | 1.45192i | −0.389704 | − | 0.0587385i | ||||
\(612\) | 1.32890 | + | 7.59432i | 0.0537175 | + | 0.306982i | ||||
\(613\) | −2.06033 | + | 1.40471i | −0.0832160 | + | 0.0567357i | −0.604213 | − | 0.796823i | \(-0.706513\pi\) |
0.520997 | + | 0.853558i | \(0.325560\pi\) | |||||||
\(614\) | −5.12125 | + | 6.42185i | −0.206677 | + | 0.259165i | ||||
\(615\) | 11.7072 | + | 1.17917i | 0.472080 | + | 0.0475489i | ||||
\(616\) | 43.5178 | + | 5.92225i | 1.75338 | + | 0.238614i | ||||
\(617\) | 14.2037 | − | 36.1905i | 0.571820 | − | 1.45697i | −0.293601 | − | 0.955928i | \(-0.594854\pi\) |
0.865421 | − | 0.501046i | \(-0.167051\pi\) | |||||||
\(618\) | −3.58953 | + | 0.176805i | −0.144392 | + | 0.00711215i | ||||
\(619\) | 4.05170 | + | 7.01776i | 0.162852 | + | 0.282067i | 0.935890 | − | 0.352292i | \(-0.114597\pi\) |
−0.773039 | + | 0.634359i | \(0.781264\pi\) | |||||||
\(620\) | 0.226684 | − | 0.0341672i | 0.00910386 | − | 0.00137219i | ||||
\(621\) | −43.2367 | − | 6.60321i | −1.73503 | − | 0.264978i | ||||
\(622\) | −28.0579 | − | 13.5120i | −1.12502 | − | 0.541781i | ||||
\(623\) | 20.4218 | − | 19.5011i | 0.818183 | − | 0.781296i | ||||
\(624\) | −0.161003 | + | 6.29176i | −0.00644526 | + | 0.251872i | ||||
\(625\) | 4.41366 | − | 0.665253i | 0.176546 | − | 0.0266101i | ||||
\(626\) | −23.2603 | + | 11.2016i | −0.929669 | + | 0.447705i | ||||
\(627\) | 7.62755 | + | 27.1777i | 0.304615 | + | 1.08537i | ||||
\(628\) | 5.26038 | + | 2.53327i | 0.209912 | + | 0.101088i | ||||
\(629\) | −5.37667 | + | 23.5567i | −0.214382 | + | 0.939268i | ||||
\(630\) | −13.5518 | − | 7.15235i | −0.539915 | − | 0.284956i | ||||
\(631\) | −5.51608 | − | 24.1675i | −0.219592 | − | 0.962094i | −0.957781 | − | 0.287500i | \(-0.907176\pi\) |
0.738189 | − | 0.674594i | \(-0.235681\pi\) | |||||||
\(632\) | −2.73348 | + | 11.9762i | −0.108732 | + | 0.476387i | ||||
\(633\) | 5.81402 | + | 12.9076i | 0.231087 | + | 0.513031i | ||||
\(634\) | −8.46267 | + | 37.0774i | −0.336096 | + | 1.47253i | ||||
\(635\) | −1.20934 | + | 16.1375i | −0.0479910 | + | 0.640396i | ||||
\(636\) | 3.13192 | − | 0.154265i | 0.124189 | − | 0.00611701i | ||||
\(637\) | 5.94901 | − | 5.84621i | 0.235708 | − | 0.231635i | ||||
\(638\) | 51.6672 | 2.04553 | ||||||||
\(639\) | −0.920295 | − | 38.9353i | −0.0364063 | − | 1.54026i | ||||
\(640\) | 7.65315 | + | 7.10108i | 0.302517 | + | 0.280695i | ||||
\(641\) | −4.96634 | − | 0.748556i | −0.196159 | − | 0.0295662i | 0.0502280 | − | 0.998738i | \(-0.484005\pi\) |
−0.246387 | + | 0.969172i | \(0.579243\pi\) | |||||||
\(642\) | 13.8581 | + | 11.6437i | 0.546937 | + | 0.459542i | ||||
\(643\) | 8.68180 | − | 8.05553i | 0.342377 | − | 0.317679i | −0.490178 | − | 0.871623i | \(-0.663068\pi\) |
0.832554 | + | 0.553943i | \(0.186878\pi\) | |||||||
\(644\) | −3.34412 | − | 8.17398i | −0.131777 | − | 0.322100i | ||||
\(645\) | 3.54500 | + | 2.97854i | 0.139584 | + | 0.117280i | ||||
\(646\) | 22.0277 | + | 10.6080i | 0.866668 | + | 0.417365i | ||||
\(647\) | −2.69583 | − | 0.831554i | −0.105984 | − | 0.0326918i | 0.241310 | − | 0.970448i | \(-0.422423\pi\) |
−0.347294 | + | 0.937756i | \(0.612899\pi\) | |||||||
\(648\) | −25.1399 | − | 10.6745i | −0.987588 | − | 0.419333i | ||||
\(649\) | 7.54212 | − | 19.2170i | 0.296054 | − | 0.754333i | ||||
\(650\) | 0.301680 | − | 4.02564i | 0.0118329 | − | 0.157898i | ||||
\(651\) | 1.49490 | + | 0.885636i | 0.0585898 | + | 0.0347108i | ||||
\(652\) | 0.303911 | + | 4.05541i | 0.0119021 | + | 0.158822i | ||||
\(653\) | −6.89385 | − | 2.12647i | −0.269777 | − | 0.0832153i | 0.156915 | − | 0.987612i | \(-0.449845\pi\) |
−0.426692 | + | 0.904397i | \(0.640321\pi\) | |||||||
\(654\) | 5.56497 | + | 6.31415i | 0.217607 | + | 0.246903i | ||||
\(655\) | −9.71257 | − | 16.8227i | −0.379501 | − | 0.657316i | ||||
\(656\) | −6.79422 | − | 11.7679i | −0.265270 | − | 0.459461i | ||||
\(657\) | −9.97589 | + | 35.2803i | −0.389197 | + | 1.37642i | ||||
\(658\) | −27.3877 | + | 0.392833i | −1.06768 | + | 0.0153142i | ||||
\(659\) | 15.4289 | + | 39.3123i | 0.601026 | + | 1.53139i | 0.829888 | + | 0.557929i | \(0.188404\pi\) |
−0.228863 | + | 0.973459i | \(0.573501\pi\) | |||||||
\(660\) | 5.69938 | + | 0.574055i | 0.221848 | + | 0.0223450i | ||||
\(661\) | 31.3014 | + | 15.0740i | 1.21748 | + | 0.586309i | 0.928610 | − | 0.371058i | \(-0.121005\pi\) |
0.288874 | + | 0.957367i | \(0.406719\pi\) | |||||||
\(662\) | 15.4063 | + | 7.41928i | 0.598783 | + | 0.288358i | ||||
\(663\) | 13.3071 | + | 1.34032i | 0.516803 | + | 0.0520536i | ||||
\(664\) | 4.26234 | + | 10.8603i | 0.165411 | + | 0.421460i | ||||
\(665\) | 10.7521 | − | 5.36923i | 0.416947 | − | 0.208210i | ||||
\(666\) | −9.87661 | − | 10.1524i | −0.382711 | − | 0.393397i | ||||
\(667\) | −31.3942 | − | 54.3763i | −1.21559 | − | 2.10546i | ||||
\(668\) | −1.77775 | − | 3.07915i | −0.0687831 | − | 0.119136i | ||||
\(669\) | 28.3628 | + | 32.1811i | 1.09657 | + | 1.24420i | ||||
\(670\) | −7.22083 | − | 2.22733i | −0.278965 | − | 0.0860493i | ||||
\(671\) | −2.01189 | − | 26.8468i | −0.0776683 | − | 1.03641i | ||||
\(672\) | −1.39534 | − | 10.0206i | −0.0538265 | − | 0.386551i | ||||
\(673\) | 1.86204 | − | 24.8472i | 0.0717763 | − | 0.957788i | −0.838798 | − | 0.544443i | \(-0.816741\pi\) |
0.910574 | − | 0.413345i | \(-0.135640\pi\) | |||||||
\(674\) | −15.6213 | + | 39.8024i | −0.601710 | + | 1.53313i | ||||
\(675\) | 12.5141 | + | 6.05657i | 0.481666 | + | 0.233117i | ||||
\(676\) | 4.38828 | + | 1.35360i | 0.168780 | + | 0.0520617i | ||||
\(677\) | 8.01045 | + | 3.85763i | 0.307867 | + | 0.148261i | 0.581437 | − | 0.813591i | \(-0.302491\pi\) |
−0.273571 | + | 0.961852i | \(0.588205\pi\) | |||||||
\(678\) | 1.88392 | + | 1.58288i | 0.0723513 | + | 0.0607902i | ||||
\(679\) | 5.55601 | − | 0.919114i | 0.213220 | − | 0.0352723i | ||||
\(680\) | 21.9792 | − | 20.3937i | 0.842865 | − | 0.782064i | ||||
\(681\) | −34.6317 | − | 29.0979i | −1.32709 | − | 1.11503i | ||||
\(682\) | 2.59695 | + | 0.391427i | 0.0994422 | + | 0.0149885i | ||||
\(683\) | 19.4581 | + | 18.0545i | 0.744545 | + | 0.690837i | 0.958209 | − | 0.286070i | \(-0.0923491\pi\) |
−0.213663 | + | 0.976907i | \(0.568540\pi\) | |||||||
\(684\) | 3.02695 | − | 1.84433i | 0.115738 | − | 0.0705196i | ||||
\(685\) | −28.8171 | −1.10104 | ||||||||
\(686\) | 13.8196 | − | 18.9472i | 0.527636 | − | 0.723407i | ||||
\(687\) | 26.7302 | − | 1.31662i | 1.01982 | − | 0.0502320i | ||||
\(688\) | 0.399594 | − | 5.33222i | 0.0152344 | − | 0.203289i | ||||
\(689\) | 1.21044 | − | 5.30329i | 0.0461141 | − | 0.202039i | ||||
\(690\) | 11.5595 | + | 25.6631i | 0.440064 | + | 0.976978i | ||||
\(691\) | −8.45572 | + | 37.0469i | −0.321671 | + | 1.40933i | 0.512909 | + | 0.858443i | \(0.328568\pi\) |
−0.834579 | + | 0.550888i | \(0.814289\pi\) | |||||||
\(692\) | 1.17584 | + | 5.15169i | 0.0446987 | + | 0.195838i | ||||
\(693\) | 30.7179 | + | 30.6827i | 1.16688 | + | 1.16554i | ||||
\(694\) | 3.56101 | − | 15.6018i | 0.135174 | − | 0.592236i | ||||
\(695\) | −10.8365 | − | 5.21858i | −0.411051 | − | 0.197952i | ||||
\(696\) | −10.5946 | − | 37.7497i | −0.401588 | − | 1.43090i | ||||
\(697\) | −26.0159 | + | 12.5286i | −0.985424 | + | 0.474555i | ||||
\(698\) | −13.1425 | + | 1.98091i | −0.497451 | + | 0.0749786i | ||||
\(699\) | −0.626979 | + | 24.5015i | −0.0237145 | + | 0.926731i | ||||
\(700\) | 0.249911 | + | 2.79608i | 0.00944576 | + | 0.105682i | ||||
\(701\) | −14.4285 | − | 6.94838i | −0.544955 | − | 0.262437i | 0.141088 | − | 0.989997i | \(-0.454940\pi\) |
−0.686044 | + | 0.727560i | \(0.740654\pi\) | |||||||
\(702\) | −4.90012 | + | 6.12002i | −0.184943 | + | 0.230985i | ||||
\(703\) | 10.9847 | − | 1.65568i | 0.414297 | − | 0.0624452i | ||||
\(704\) | −24.3274 | − | 42.1363i | −0.916873 | − | 1.58807i | ||||
\(705\) | −21.5634 | + | 1.06212i | −0.812125 | + | 0.0400018i | ||||
\(706\) | −12.6191 | + | 32.1529i | −0.474925 | + | 1.21009i | ||||
\(707\) | 25.9932 | + | 17.1810i | 0.977574 | + | 0.646158i | ||||
\(708\) | −2.57922 | − | 0.259785i | −0.0969332 | − | 0.00976333i | ||||
\(709\) | −7.79367 | + | 9.77295i | −0.292697 | + | 0.367031i | −0.906337 | − | 0.422555i | \(-0.861133\pi\) |
0.613640 | + | 0.789586i | \(0.289705\pi\) | |||||||
\(710\) | −20.7078 | + | 14.1183i | −0.777149 | + | 0.529852i | ||||
\(711\) | −9.31278 | + | 7.79373i | −0.349257 | + | 0.292288i | ||||
\(712\) | −32.0266 | − | 4.82723i | −1.20025 | − | 0.180908i | ||||
\(713\) | −1.16601 | − | 2.97095i | −0.0436675 | − | 0.111263i | ||||
\(714\) | 37.5286 | − | 2.38847i | 1.40447 | − | 0.0893863i | ||||
\(715\) | 3.63039 | − | 9.25009i | 0.135769 | − | 0.345934i | ||||
\(716\) | 3.14302 | − | 5.44387i | 0.117460 | − | 0.203447i | ||||
\(717\) | −17.6398 | + | 34.3527i | −0.658772 | + | 1.28293i | ||||
\(718\) | −5.95028 | + | 15.1611i | −0.222063 | + | 0.565806i | ||||
\(719\) | 20.3530 | − | 18.8848i | 0.759039 | − | 0.704285i | −0.202400 | − | 0.979303i | \(-0.564874\pi\) |
0.961439 | + | 0.275017i | \(0.0886836\pi\) | |||||||
\(720\) | 2.40424 | + | 13.7396i | 0.0896006 | + | 0.512046i | ||||
\(721\) | 0.261946 | − | 4.32746i | 0.00975537 | − | 0.161163i | ||||
\(722\) | −0.957938 | + | 12.7828i | −0.0356508 | + | 0.475727i | ||||
\(723\) | 31.0235 | − | 6.25054i | 1.15378 | − | 0.232460i | ||||
\(724\) | 1.73911 | − | 0.837513i | 0.0646336 | − | 0.0311259i | ||||
\(725\) | 4.44108 | + | 19.4576i | 0.164937 | + | 0.722638i | ||||
\(726\) | 38.2291 | + | 16.1442i | 1.41881 | + | 0.599168i | ||||
\(727\) | −16.6580 | − | 15.4564i | −0.617813 | − | 0.573246i | 0.307926 | − | 0.951410i | \(-0.400365\pi\) |
−0.925739 | + | 0.378164i | \(0.876556\pi\) | |||||||
\(728\) | −9.47956 | − | 1.29006i | −0.351336 | − | 0.0478126i | ||||
\(729\) | −13.4086 | − | 23.4352i | −0.496616 | − | 0.867971i | ||||
\(730\) | 22.5456 | − | 6.95440i | 0.834450 | − | 0.257394i | ||||
\(731\) | −11.2358 | − | 1.69353i | −0.415573 | − | 0.0626375i | ||||
\(732\) | −3.17749 | + | 1.15417i | −0.117443 | + | 0.0426594i | ||||
\(733\) | −2.20118 | + | 29.3727i | −0.0813026 | + | 1.08491i | 0.796104 | + | 0.605160i | \(0.206891\pi\) |
−0.877407 | + | 0.479747i | \(0.840728\pi\) | |||||||
\(734\) | 16.0419 | + | 27.7853i | 0.592116 | + | 1.02558i | ||||
\(735\) | 10.3655 | − | 15.3052i | 0.382337 | − | 0.564539i | ||||
\(736\) | −9.29179 | + | 16.0939i | −0.342500 | + | 0.593228i | ||||
\(737\) | 17.6902 | + | 12.0609i | 0.651625 | + | 0.444271i | ||||
\(738\) | 2.12658 | − | 16.7926i | 0.0782806 | − | 0.618144i | ||||
\(739\) | −15.1549 | − | 38.6140i | −0.557482 | − | 1.42044i | −0.880499 | − | 0.474048i | \(-0.842792\pi\) |
0.323017 | − | 0.946393i | \(-0.395303\pi\) | |||||||
\(740\) | 0.501627 | − | 2.19777i | 0.0184402 | − | 0.0807916i | ||||
\(741\) | −1.66153 | − | 5.92018i | −0.0610377 | − | 0.217483i | ||||
\(742\) | 0.924108 | − | 15.2667i | 0.0339251 | − | 0.560457i | ||||
\(743\) | −38.5379 | + | 11.8874i | −1.41382 | + | 0.436105i | −0.905236 | − | 0.424908i | \(-0.860306\pi\) |
−0.508582 | + | 0.861014i | \(0.669830\pi\) | |||||||
\(744\) | −0.246528 | − | 1.97768i | −0.00903816 | − | 0.0725051i | ||||
\(745\) | −3.16495 | + | 2.93664i | −0.115955 | + | 0.107590i | ||||
\(746\) | −0.955739 | + | 12.7534i | −0.0349921 | + | 0.466937i | ||||
\(747\) | −3.13815 | + | 11.0982i | −0.114819 | + | 0.406063i | ||||
\(748\) | −12.6653 | + | 6.09927i | −0.463088 | + | 0.223011i | ||||
\(749\) | −15.7915 | + | 15.0795i | −0.577007 | + | 0.550994i | ||||
\(750\) | −3.17482 | − | 25.4687i | −0.115928 | − | 0.929986i | ||||
\(751\) | −15.7470 | − | 4.85731i | −0.574617 | − | 0.177246i | −0.00619169 | − | 0.999981i | \(-0.501971\pi\) |
−0.568425 | + | 0.822735i | \(0.692447\pi\) | |||||||
\(752\) | 15.5453 | + | 19.4932i | 0.566878 | + | 0.710842i | ||||
\(753\) | 12.8262 | + | 19.8873i | 0.467414 | + | 0.724733i | ||||
\(754\) | −11.2548 | −0.409875 | ||||||||
\(755\) | 22.3803 | + | 28.0640i | 0.814501 | + | 1.02135i | ||||
\(756\) | 2.66722 | − | 4.75485i | 0.0970057 | − | 0.172932i | ||||
\(757\) | 7.64345 | − | 9.58459i | 0.277806 | − | 0.348358i | −0.623279 | − | 0.781999i | \(-0.714200\pi\) |
0.901086 | + | 0.433641i | \(0.142772\pi\) | |||||||
\(758\) | −8.00002 | + | 10.0317i | −0.290574 | + | 0.364368i | ||||
\(759\) | −9.86481 | − | 79.1365i | −0.358070 | − | 2.87247i | ||||
\(760\) | −12.4197 | − | 5.98103i | −0.450511 | − | 0.216955i | ||||
\(761\) | 3.71947 | + | 9.47705i | 0.134831 | + | 0.343543i | 0.982304 | − | 0.187296i | \(-0.0599723\pi\) |
−0.847473 | + | 0.530839i | \(0.821877\pi\) | |||||||
\(762\) | 23.1626 | + | 2.33299i | 0.839092 | + | 0.0845153i | ||||
\(763\) | −8.30590 | + | 5.83910i | −0.300694 | + | 0.211390i | ||||
\(764\) | −3.28421 | − | 4.11827i | −0.118819 | − | 0.148994i | ||||
\(765\) | 29.4969 | − | 2.91285i | 1.06646 | − | 0.105314i | ||||
\(766\) | 2.08422 | − | 3.60997i | 0.0753058 | − | 0.130433i | ||||
\(767\) | −1.64291 | + | 4.18608i | −0.0593222 | + | 0.151151i | ||||
\(768\) | −11.0352 | + | 11.2992i | −0.398200 | + | 0.407723i | ||||
\(769\) | −0.715247 | − | 9.54430i | −0.0257925 | − | 0.344176i | −0.995139 | − | 0.0984792i | \(-0.968602\pi\) |
0.969347 | − | 0.245697i | \(-0.0790169\pi\) | |||||||
\(770\) | 5.82585 | − | 27.3255i | 0.209949 | − | 0.984743i | ||||
\(771\) | −20.8489 | + | 11.3361i | −0.750854 | + | 0.408260i | ||||
\(772\) | −4.42052 | − | 5.54316i | −0.159098 | − | 0.199503i | ||||
\(773\) | 3.28785 | − | 43.8732i | 0.118256 | − | 1.57801i | −0.550697 | − | 0.834705i | \(-0.685638\pi\) |
0.668952 | − | 0.743305i | \(-0.266743\pi\) | |||||||
\(774\) | 4.41386 | − | 4.98841i | 0.158653 | − | 0.179305i | ||||
\(775\) | 0.0758122 | + | 1.01164i | 0.00272325 | + | 0.0363393i | ||||
\(776\) | −4.73507 | − | 4.39350i | −0.169979 | − | 0.157718i | ||||
\(777\) | 13.4775 | − | 10.5023i | 0.483503 | − | 0.376767i | ||||
\(778\) | 5.81816 | − | 5.39846i | 0.208591 | − | 0.193544i | ||||
\(779\) | 9.73171 | + | 9.02971i | 0.348675 | + | 0.323523i | ||||
\(780\) | −1.24151 | − | 0.125047i | −0.0444531 | − | 0.00447742i | ||||
\(781\) | 67.8570 | − | 20.9311i | 2.42812 | − | 0.748975i | ||||
\(782\) | −57.0706 | − | 38.9101i | −2.04084 | − | 1.39142i | ||||
\(783\) | 14.2310 | − | 36.0530i | 0.508575 | − | 1.28843i | ||||
\(784\) | −21.3385 | + | 0.612260i | −0.762089 | + | 0.0218664i | ||||
\(785\) | 11.2234 | − | 19.4394i | 0.400579 | − | 0.693824i | ||||
\(786\) | −24.5499 | + | 13.3485i | −0.875666 | + | 0.476124i | ||||
\(787\) | −9.05852 | + | 39.6880i | −0.322901 | + | 1.41472i | 0.509462 | + | 0.860493i | \(0.329844\pi\) |
−0.832363 | + | 0.554230i | \(0.813013\pi\) | |||||||
\(788\) | 2.25601 | − | 2.82895i | 0.0803672 | − | 0.100777i | ||||
\(789\) | −22.3863 | − | 18.8092i | −0.796974 | − | 0.669625i | ||||
\(790\) | 7.46756 | + | 2.30344i | 0.265684 | + | 0.0819527i | ||||
\(791\) | −2.14674 | + | 2.04995i | −0.0763291 | + | 0.0728880i | ||||
\(792\) | 6.25652 | − | 49.4048i | 0.222316 | − | 1.75552i | ||||
\(793\) | 0.438255 | + | 5.84810i | 0.0155629 | + | 0.207672i | ||||
\(794\) | −15.6125 | + | 14.4863i | −0.554066 | + | 0.514098i | ||||
\(795\) | 0.308391 | − | 12.0515i | 0.0109375 | − | 0.427422i | ||||
\(796\) | −8.56364 | + | 1.29076i | −0.303530 | + | 0.0457498i | ||||
\(797\) | −18.9295 | − | 12.9059i | −0.670517 | − | 0.457151i | 0.179604 | − | 0.983739i | \(-0.442519\pi\) |
−0.850120 | + | 0.526588i | \(0.823471\pi\) | |||||||
\(798\) | −7.32575 | − | 15.6600i | −0.259329 | − | 0.554358i | ||||
\(799\) | 43.7758 | − | 29.8459i | 1.54868 | − | 1.05587i | ||||
\(800\) | 4.33015 | − | 4.01779i | 0.153094 | − | 0.142050i | ||||
\(801\) | −22.3264 | − | 22.9497i | −0.788863 | − | 0.810890i | ||||
\(802\) | −1.91386 | + | 3.31491i | −0.0675809 | + | 0.117054i | ||||
\(803\) | −66.8499 | −2.35908 | ||||||||
\(804\) | 0.857914 | − | 2.54796i | 0.0302563 | − | 0.0898596i | ||||
\(805\) | −32.2982 | + | 10.4723i | −1.13836 | + | 0.369099i | ||||
\(806\) | −0.565698 | − | 0.0852653i | −0.0199259 | − | 0.00300334i | ||||
\(807\) | −8.34593 | + | 11.5926i | −0.293791 | + | 0.408077i | ||||
\(808\) | −2.67075 | − | 35.6387i | −0.0939566 | − | 1.25376i | ||||
\(809\) | 32.5462 | − | 22.1896i | 1.14426 | − | 0.780145i | 0.165717 | − | 0.986173i | \(-0.447006\pi\) |
0.978546 | + | 0.206028i | \(0.0660538\pi\) | |||||||
\(810\) | −7.96691 | + | 15.4409i | −0.279929 | + | 0.542539i | ||||
\(811\) | −4.28887 | + | 5.37807i | −0.150602 | + | 0.188850i | −0.851410 | − | 0.524501i | \(-0.824252\pi\) |
0.700807 | + | 0.713351i | \(0.252823\pi\) | |||||||
\(812\) | 7.72149 | − | 1.27734i | 0.270971 | − | 0.0448259i | ||||
\(813\) | 38.6884 | − | 7.79484i | 1.35686 | − | 0.273377i | ||||
\(814\) | 12.9128 | − | 22.3657i | 0.452594 | − | 0.783916i | ||||
\(815\) | 15.6349 | 0.547668 | ||||||||
\(816\) | −22.6329 | − | 25.6799i | −0.792310 | − | 0.898975i | ||||
\(817\) | 1.16246 | + | 5.09309i | 0.0406695 | + | 0.178185i | ||||
\(818\) | 40.7176 | + | 19.6085i | 1.42366 | + | 0.685597i | ||||
\(819\) | −6.69135 | − | 6.68367i | −0.233815 | − | 0.233546i | ||||
\(820\) | 2.42721 | − | 1.16888i | 0.0847618 | − | 0.0408191i | ||||
\(821\) | −19.8494 | − | 24.8903i | −0.692748 | − | 0.868679i | 0.303711 | − | 0.952764i | \(-0.401774\pi\) |
−0.996459 | + | 0.0840858i | \(0.973203\pi\) | |||||||
\(822\) | −1.06047 | + | 41.4416i | −0.0369880 | + | 1.44544i | ||||
\(823\) | −6.68778 | − | 29.3011i | −0.233122 | − | 1.02137i | −0.947033 | − | 0.321136i | \(-0.895935\pi\) |
0.713911 | − | 0.700236i | \(-0.246922\pi\) | |||||||
\(824\) | −4.10864 | + | 2.80122i | −0.143131 | + | 0.0975853i | ||||
\(825\) | −4.41808 | + | 24.9612i | −0.153818 | + | 0.869037i | ||||
\(826\) | −2.63646 | + | 12.3660i | −0.0917341 | + | 0.430268i | ||||
\(827\) | −0.0583637 | − | 0.255708i | −0.00202951 | − | 0.00889184i | 0.973903 | − | 0.226965i | \(-0.0728802\pi\) |
−0.975933 | + | 0.218073i | \(0.930023\pi\) | |||||||
\(828\) | −9.23280 | + | 3.87781i | −0.320862 | + | 0.134763i | ||||
\(829\) | 17.1950 | + | 43.8122i | 0.597208 | + | 1.52166i | 0.834946 | + | 0.550332i | \(0.185499\pi\) |
−0.237738 | + | 0.971329i | \(0.576406\pi\) | |||||||
\(830\) | 7.09224 | − | 2.18767i | 0.246175 | − | 0.0759350i | ||||
\(831\) | −0.354772 | + | 13.8640i | −0.0123069 | + | 0.480937i | ||||
\(832\) | 5.29929 | + | 9.17863i | 0.183720 | + | 0.318212i | ||||
\(833\) | −2.09117 | + | 45.3148i | −0.0724548 | + | 1.57007i | ||||
\(834\) | −7.90356 | + | 15.3918i | −0.273678 | + | 0.532974i | ||||
\(835\) | −12.3156 | + | 5.93088i | −0.426199 | + | 0.205246i | ||||
\(836\) | 4.73767 | + | 4.39591i | 0.163856 | + | 0.152036i | ||||
\(837\) | 0.988427 | − | 1.70431i | 0.0341650 | − | 0.0589097i | ||||
\(838\) | −1.48957 | + | 0.459472i | −0.0514564 | + | 0.0158722i | ||||
\(839\) | 30.5854 | + | 9.43435i | 1.05593 | + | 0.325710i | 0.773643 | − | 0.633622i | \(-0.218432\pi\) |
0.282282 | + | 0.959331i | \(0.408909\pi\) | |||||||
\(840\) | −21.1595 | + | 1.34668i | −0.730072 | + | 0.0464648i | ||||
\(841\) | 25.4585 | − | 7.85290i | 0.877879 | − | 0.270790i | ||||
\(842\) | 10.0748 | − | 6.86890i | 0.347201 | − | 0.236718i | ||||
\(843\) | −0.258665 | − | 0.921648i | −0.00890888 | − | 0.0317432i | ||||
\(844\) | 2.67804 | + | 1.82585i | 0.0921818 | + | 0.0628485i | ||||
\(845\) | 6.45021 | − | 16.4349i | 0.221894 | − | 0.565377i | ||||
\(846\) | 0.733895 | + | 31.0492i | 0.0252318 | + | 1.06749i | ||||
\(847\) | −24.4057 | + | 43.7078i | −0.838589 | + | 1.50182i | ||||
\(848\) | −11.5031 | + | 7.84265i | −0.395016 | + | 0.269318i | ||||
\(849\) | 4.91909 | − | 5.03673i | 0.168823 | − | 0.172860i | ||||
\(850\) | 13.6891 | + | 17.1656i | 0.469532 | + | 0.588775i | ||||
\(851\) | −31.3845 | −1.07585 | ||||||||
\(852\) | −4.83300 | − | 7.49363i | −0.165576 | − | 0.256728i | ||||
\(853\) | 14.4979 | − | 2.18520i | 0.496397 | − | 0.0748198i | 0.103928 | − | 0.994585i | \(-0.466859\pi\) |
0.392469 | + | 0.919765i | \(0.371621\pi\) | |||||||
\(854\) | 3.89935 | + | 16.0214i | 0.133433 | + | 0.548241i | ||||
\(855\) | −6.20112 | − | 12.1346i | −0.212074 | − | 0.414995i | ||||
\(856\) | 24.7650 | + | 3.73273i | 0.846451 | + | 0.127582i | ||||
\(857\) | 2.67644 | + | 35.7146i | 0.0914254 | + | 1.21999i | 0.834587 | + | 0.550876i | \(0.185706\pi\) |
−0.743162 | + | 0.669112i | \(0.766675\pi\) | |||||||
\(858\) | −13.1689 | − | 5.56123i | −0.449577 | − | 0.189857i | ||||
\(859\) | 7.27133 | + | 18.5271i | 0.248095 | + | 0.632135i | 0.999620 | − | 0.0275693i | \(-0.00877671\pi\) |
−0.751525 | + | 0.659704i | \(0.770681\pi\) | |||||||
\(860\) | 1.04827 | + | 0.158001i | 0.0357457 | + | 0.00538780i | ||||
\(861\) | 19.8548 | + | 4.76715i | 0.676648 | + | 0.162464i | ||||
\(862\) | −16.3986 | + | 2.47169i | −0.558537 | + | 0.0841860i | ||||
\(863\) | 17.6175 | + | 30.5144i | 0.599707 | + | 1.03872i | 0.992864 | + | 0.119252i | \(0.0380495\pi\) |
−0.393157 | + | 0.919471i | \(0.628617\pi\) | |||||||
\(864\) | −11.3471 | + | 1.68765i | −0.386035 | + | 0.0574150i | ||||
\(865\) | 20.0884 | − | 3.02783i | 0.683025 | − | 0.102949i | ||||
\(866\) | −0.834752 | − | 3.65729i | −0.0283660 | − | 0.124280i | ||||
\(867\) | −34.5284 | + | 26.1189i | −1.17264 | + | 0.887044i | ||||
\(868\) | 0.397782 | − | 0.00570556i | 0.0135016 | − | 0.000193659i | ||||
\(869\) | −18.2946 | − | 12.4731i | −0.620603 | − | 0.423120i | ||||
\(870\) | −24.4516 | + | 4.92643i | −0.828985 | + | 0.167022i | ||||
\(871\) | −3.85348 | − | 2.62726i | −0.130570 | − | 0.0890213i | ||||
\(872\) | 11.1282 | + | 3.43258i | 0.376847 | + | 0.116242i | ||||
\(873\) | −1.10066 | − | 6.28997i | −0.0372515 | − | 0.212883i | ||||
\(874\) | −7.06648 | + | 30.9603i | −0.239027 | + | 1.04725i | ||||
\(875\) | 30.9580 | − | 0.444044i | 1.04657 | − | 0.0150114i | ||||
\(876\) | 2.26827 | + | 8.08209i | 0.0766378 | + | 0.273068i | ||||
\(877\) | −20.5632 | − | 19.0799i | −0.694371 | − | 0.644282i | 0.251864 | − | 0.967763i | \(-0.418956\pi\) |
−0.946235 | + | 0.323481i | \(0.895147\pi\) | |||||||
\(878\) | −10.7484 | + | 13.4780i | −0.362740 | + | 0.454862i | ||||
\(879\) | 28.6336 | + | 24.0582i | 0.965786 | + | 0.811462i | ||||
\(880\) | −22.9140 | + | 11.0348i | −0.772429 | + | 0.371982i | ||||
\(881\) | 17.3917 | 0.585942 | 0.292971 | − | 0.956121i | \(-0.405356\pi\) | ||||
0.292971 | + | 0.956121i | \(0.405356\pi\) | |||||||
\(882\) | −21.6287 | − | 15.4697i | −0.728277 | − | 0.520894i | ||||
\(883\) | 3.96850 | 0.133551 | 0.0667753 | − | 0.997768i | \(-0.478729\pi\) | ||||
0.0667753 | + | 0.997768i | \(0.478729\pi\) | |||||||
\(884\) | 2.75890 | − | 1.32862i | 0.0927919 | − | 0.0446862i | ||||
\(885\) | −1.73699 | + | 9.81360i | −0.0583881 | + | 0.329880i | ||||
\(886\) | −4.94657 | + | 6.20280i | −0.166183 | + | 0.208387i | ||||
\(887\) | −13.7452 | − | 12.7536i | −0.461517 | − | 0.428226i | 0.414835 | − | 0.909897i | \(-0.363839\pi\) |
−0.876352 | + | 0.481671i | \(0.840030\pi\) | |||||||
\(888\) | −18.9889 | − | 4.84833i | −0.637226 | − | 0.162699i | ||||
\(889\) | −5.85572 | + | 27.4656i | −0.196395 | + | 0.921166i | ||||
\(890\) | −4.58489 | + | 20.0877i | −0.153686 | + | 0.673342i | ||||
\(891\) | 34.4658 | − | 35.1526i | 1.15465 | − | 1.17766i | ||||
\(892\) | 9.38499 | + | 2.89489i | 0.314233 | + | 0.0969280i | ||||
\(893\) | −20.1261 | − | 13.7217i | −0.673494 | − | 0.459180i | ||||
\(894\) | 4.10668 | + | 4.65954i | 0.137348 | + | 0.155838i | ||||
\(895\) | −19.9677 | − | 13.6137i | −0.667447 | − | 0.455057i | ||||
\(896\) | 11.4980 | + | 14.0013i | 0.384121 | + | 0.467750i | ||||
\(897\) | 2.14887 | + | 17.2385i | 0.0717487 | + | 0.575576i | ||||
\(898\) | 3.84208 | + | 16.8332i | 0.128212 | + | 0.561733i | ||||
\(899\) | 2.79674 | − | 0.421540i | 0.0932764 | − | 0.0140592i | ||||
\(900\) | 3.16769 | − | 0.312813i | 0.105590 | − | 0.0104271i | ||||
\(901\) | 14.7924 | + | 25.6211i | 0.492805 | + | 0.853563i | ||||
\(902\) | 30.5183 | − | 4.59990i | 1.01615 | − | 0.153160i | ||||
\(903\) | 5.39867 | + | 5.95118i | 0.179657 | + | 0.198043i | ||||
\(904\) | 3.36663 | + | 0.507437i | 0.111972 | + | 0.0168771i | ||||
\(905\) | −2.71120 | − | 6.90803i | −0.0901234 | − | 0.229631i | ||||
\(906\) | 41.1821 | − | 31.1521i | 1.36818 | − | 1.03496i | ||||
\(907\) | −3.35656 | − | 44.7902i | −0.111453 | − | 1.48724i | −0.720142 | − | 0.693826i | \(-0.755923\pi\) |
0.608689 | − | 0.793409i | \(-0.291696\pi\) | |||||||
\(908\) | −10.2407 | − | 1.54354i | −0.339851 | − | 0.0512243i | ||||
\(909\) | 19.2068 | − | 29.6532i | 0.637049 | − | 0.983534i | ||||
\(910\) | −1.26906 | + | 5.95237i | −0.0420689 | + | 0.197319i | ||||
\(911\) | 36.7618 | − | 5.54095i | 1.21797 | − | 0.183580i | 0.491563 | − | 0.870842i | \(-0.336426\pi\) |
0.726410 | + | 0.687262i | \(0.241188\pi\) | |||||||
\(912\) | −7.18870 | + | 13.9996i | −0.238041 | + | 0.463574i | ||||
\(913\) | −21.0292 | −0.695965 | ||||||||
\(914\) | −6.91725 | − | 8.67395i | −0.228802 | − | 0.286909i | ||||
\(915\) | 3.51196 | + | 12.5135i | 0.116102 | + | 0.413682i | ||||
\(916\) | 5.06275 | − | 3.45172i | 0.167278 | − | 0.114048i | ||||
\(917\) | −12.7643 | − | 31.1996i | −0.421514 | − | 1.03030i | ||||
\(918\) | −3.10346 | − | 42.5264i | −0.102429 | − | 1.40358i | ||||
\(919\) | −5.84609 | + | 14.8956i | −0.192845 | + | 0.491360i | −0.994290 | − | 0.106707i | \(-0.965969\pi\) |
0.801446 | + | 0.598067i | \(0.204065\pi\) | |||||||
\(920\) | 32.1778 | + | 21.9384i | 1.06087 | + | 0.723289i | ||||
\(921\) | −7.85007 | + | 8.03781i | −0.258669 | + | 0.264855i | ||||
\(922\) | −7.56419 | + | 5.15718i | −0.249113 | + | 0.169843i | ||||
\(923\) | −14.7814 | + | 4.55947i | −0.486537 | + | 0.150077i | ||||
\(924\) | 9.66584 | + | 2.32078i | 0.317983 | + | 0.0763481i | ||||
\(925\) | 9.53273 | + | 2.94046i | 0.313434 | + | 0.0966817i | ||||
\(926\) | 18.4276 | − | 5.68416i | 0.605568 | − | 0.186793i | ||||
\(927\) | −4.90942 | − | 0.251423i | −0.161247 | − | 0.00825782i | ||||
\(928\) | −12.0723 | − | 11.2014i | −0.396292 | − | 0.367705i | ||||
\(929\) | 18.3492 | − | 8.83650i | 0.602017 | − | 0.289916i | −0.107944 | − | 0.994157i | \(-0.534427\pi\) |
0.709961 | + | 0.704241i | \(0.248712\pi\) | |||||||
\(930\) | −1.26633 | + | 0.0623740i | −0.0415246 | + | 0.00204532i | ||||
\(931\) | 19.7447 | − | 6.71642i | 0.647108 | − | 0.220122i | ||||
\(932\) | 2.80580 | + | 4.85979i | 0.0919070 | + | 0.159188i | ||||
\(933\) | −36.3333 | − | 22.2353i | −1.18950 | − | 0.727950i | ||||
\(934\) | −5.84519 | + | 1.80300i | −0.191261 | + | 0.0589961i | ||||
\(935\) | 19.7446 | + | 50.3085i | 0.645718 | + | 1.64526i | ||||
\(936\) | −1.36287 | + | 10.7619i | −0.0445468 | + | 0.351765i | ||||
\(937\) | −12.2113 | − | 53.5011i | −0.398925 | − | 1.74780i | −0.631643 | − | 0.775259i | \(-0.717619\pi\) |
0.232719 | − | 0.972544i | \(-0.425238\pi\) | |||||||
\(938\) | −11.8951 | − | 5.51964i | −0.388389 | − | 0.180223i | ||||
\(939\) | −33.1916 | + | 12.0563i | −1.08317 | + | 0.393443i | ||||
\(940\) | −4.08415 | + | 2.78453i | −0.133210 | + | 0.0908213i | ||||
\(941\) | −8.96099 | − | 39.2606i | −0.292120 | − | 1.27986i | −0.881569 | − | 0.472055i | \(-0.843512\pi\) |
0.589449 | − | 0.807805i | \(-0.299345\pi\) | |||||||
\(942\) | −27.5426 | − | 16.8556i | −0.897387 | − | 0.549184i | ||||
\(943\) | −23.3847 | − | 29.3235i | −0.761511 | − | 0.954905i | ||||
\(944\) | 10.3696 | − | 4.99373i | 0.337501 | − | 0.162532i | ||||
\(945\) | −17.4629 | − | 11.5917i | −0.568067 | − | 0.377077i | ||||
\(946\) | 10.9422 | + | 5.26946i | 0.355760 | + | 0.171325i | ||||
\(947\) | −12.1649 | − | 53.2979i | −0.395306 | − | 1.73195i | −0.645507 | − | 0.763754i | \(-0.723354\pi\) |
0.250202 | − | 0.968194i | \(-0.419503\pi\) | |||||||
\(948\) | −0.887229 | + | 2.63502i | −0.0288159 | + | 0.0855816i | ||||
\(949\) | 14.5621 | 0.472704 | ||||||||
\(950\) | 5.04709 | − | 8.74181i | 0.163749 | − | 0.283622i | ||||
\(951\) | −16.5998 | + | 49.3005i | −0.538285 | + | 1.59868i | ||||
\(952\) | 42.5658 | − | 29.9241i | 1.37957 | − | 0.969844i | ||||
\(953\) | −15.3026 | + | 19.1889i | −0.495700 | + | 0.621588i | −0.965253 | − | 0.261316i | \(-0.915844\pi\) |
0.469553 | + | 0.882904i | \(0.344415\pi\) | |||||||
\(954\) | −17.3198 | − | 0.886986i | −0.560748 | − | 0.0287172i | ||||
\(955\) | −16.7322 | + | 11.4078i | −0.541441 | + | 0.369148i | ||||
\(956\) | 0.660734 | + | 8.81688i | 0.0213697 | + | 0.285158i | ||||
\(957\) | 70.3166 | + | 7.08245i | 2.27301 | + | 0.228943i | ||||
\(958\) | 23.0928 | + | 3.48068i | 0.746094 | + | 0.112456i | ||||
\(959\) | −49.5514 | − | 6.74336i | −1.60010 | − | 0.217754i | ||||
\(960\) | 15.5306 | + | 17.6214i | 0.501249 | + | 0.568729i | ||||
\(961\) | −30.8562 | −0.995362 | ||||||||
\(962\) | −2.81283 | + | 4.87196i | −0.0906892 | + | 0.157078i | ||||
\(963\) | 17.2642 | + | 17.7462i | 0.556330 | + | 0.571864i | ||||
\(964\) | 5.31152 | − | 4.92837i | 0.171073 | − | 0.158732i | ||||
\(965\) | −22.5214 | + | 15.3548i | −0.724990 | + | 0.494290i | ||||
\(966\) | 13.8715 | + | 46.8331i | 0.446308 | + | 1.50683i | ||||
\(967\) | 3.97746 | + | 2.71178i | 0.127906 | + | 0.0872051i | 0.625583 | − | 0.780157i | \(-0.284861\pi\) |
−0.497677 | + | 0.867363i | \(0.665813\pi\) | |||||||
\(968\) | 56.7779 | − | 8.55789i | 1.82491 | − | 0.275061i | ||||
\(969\) | 28.5245 | + | 17.4565i | 0.916339 | + | 0.560782i | ||||
\(970\) | −3.01228 | + | 2.79499i | −0.0967186 | + | 0.0897418i | ||||
\(971\) | −1.80836 | − | 24.1309i | −0.0580331 | − | 0.774398i | −0.947979 | − | 0.318332i | \(-0.896877\pi\) |
0.889946 | − | 0.456066i | \(-0.150742\pi\) | |||||||
\(972\) | −5.41936 | − | 2.97412i | −0.173826 | − | 0.0953950i | ||||
\(973\) | −17.4123 | − | 11.5092i | −0.558213 | − | 0.368968i | ||||
\(974\) | 7.14257 | + | 2.20319i | 0.228863 | + | 0.0705948i | ||||
\(975\) | 0.962399 | − | 5.43735i | 0.0308214 | − | 0.174134i | ||||
\(976\) | 9.35827 | − | 11.7349i | 0.299551 | − | 0.375625i | ||||
\(977\) | −2.83974 | + | 12.4417i | −0.0908512 | + | 0.398045i | −0.999823 | − | 0.0188123i | \(-0.994011\pi\) |
0.908972 | + | 0.416858i | \(0.136869\pi\) | |||||||
\(978\) | 0.575364 | − | 22.4844i | 0.0183981 | − | 0.718973i | ||||
\(979\) | 29.1898 | − | 50.5583i | 0.932911 | − | 1.61585i | ||||
\(980\) | 0.195100 | − | 4.22773i | 0.00623224 | − | 0.135050i | ||||
\(981\) | 6.70812 | + | 9.35609i | 0.214174 | + | 0.298717i | ||||
\(982\) | −0.436995 | − | 0.297938i | −0.0139451 | − | 0.00950758i | ||||
\(983\) | −10.5382 | + | 3.25061i | −0.336117 | + | 0.103678i | −0.458219 | − | 0.888839i | \(-0.651513\pi\) |
0.122103 | + | 0.992517i | \(0.461036\pi\) | |||||||
\(984\) | −9.61877 | − | 21.3544i | −0.306635 | − | 0.680754i | ||||
\(985\) | −10.1975 | − | 9.46188i | −0.324919 | − | 0.301480i | ||||
\(986\) | 44.8711 | − | 41.6343i | 1.42899 | − | 1.32591i | ||||
\(987\) | −37.3271 | − | 3.21962i | −1.18814 | − | 0.102482i | ||||
\(988\) | −1.03202 | − | 0.957570i | −0.0328328 | − | 0.0304644i | ||||
\(989\) | −1.10294 | − | 14.7177i | −0.0350715 | − | 0.467997i | ||||
\(990\) | −31.0442 | − | 6.31778i | −0.986651 | − | 0.200792i | ||||
\(991\) | 1.48880 | − | 19.8667i | 0.0472934 | − | 0.631087i | −0.922317 | − | 0.386434i | \(-0.873707\pi\) |
0.969611 | − | 0.244653i | \(-0.0786741\pi\) | |||||||
\(992\) | −0.521927 | − | 0.654475i | −0.0165712 | − | 0.0207796i | ||||
\(993\) | 19.9502 | + | 12.2092i | 0.633101 | + | 0.387446i | ||||
\(994\) | −38.9111 | + | 19.4309i | −1.23418 | + | 0.616312i | ||||
\(995\) | 2.48816 | + | 33.2021i | 0.0788799 | + | 1.05258i | ||||
\(996\) | 0.713538 | + | 2.54241i | 0.0226093 | + | 0.0805592i | ||||
\(997\) | −4.37460 | + | 11.1463i | −0.138545 | + | 0.353007i | −0.983260 | − | 0.182210i | \(-0.941675\pi\) |
0.844715 | + | 0.535217i | \(0.179770\pi\) | |||||||
\(998\) | 10.8288 | − | 18.7560i | 0.342779 | − | 0.593711i | ||||
\(999\) | −12.0499 | − | 15.1708i | −0.381243 | − | 0.479982i |
(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 | 441.2.y.a.151.16 | ✓ | 648 | |
9.4 | even | 3 | 441.2.z.a.4.39 | yes | 648 | ||
49.37 | even | 21 | 441.2.z.a.331.39 | yes | 648 | ||
441.184 | even | 21 | inner | 441.2.y.a.184.16 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.151.16 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.y.a.184.16 | yes | 648 | 441.184 | even | 21 | inner | |
441.2.z.a.4.39 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.331.39 | yes | 648 | 49.37 | even | 21 |