Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(43,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.u (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(340\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 43.7 | ||
Character | \(\chi\) | \(=\) | 804.43 |
Dual form | 804.2.u.a.187.7 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08310 | − | 0.909337i | −0.765867 | − | 0.642998i | ||||
\(3\) | 0.841254 | − | 0.540641i | 0.485698 | − | 0.312139i | ||||
\(4\) | 0.346212 | + | 1.96981i | 0.173106 | + | 0.984903i | ||||
\(5\) | 1.76201 | + | 0.253339i | 0.787996 | + | 0.113297i | 0.524553 | − | 0.851378i | \(-0.324233\pi\) |
0.263444 | + | 0.964675i | \(0.415142\pi\) | |||||||
\(6\) | −1.40279 | − | 0.179415i | −0.572685 | − | 0.0732458i | ||||
\(7\) | 0.821285 | − | 1.79836i | 0.310417 | − | 0.679717i | −0.688549 | − | 0.725190i | \(-0.741752\pi\) |
0.998966 | + | 0.0454723i | \(0.0144793\pi\) | |||||||
\(8\) | 1.41624 | − | 2.44832i | 0.500715 | − | 0.865612i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | −1.67807 | − | 1.87666i | −0.530651 | − | 0.593451i | ||||
\(11\) | −0.340507 | + | 2.36828i | −0.102667 | + | 0.714063i | 0.871854 | + | 0.489766i | \(0.162918\pi\) |
−0.974521 | + | 0.224297i | \(0.927991\pi\) | |||||||
\(12\) | 1.35621 | + | 1.46993i | 0.391504 | + | 0.424332i | ||||
\(13\) | 0.566274 | − | 1.92855i | 0.157056 | − | 0.534884i | −0.842939 | − | 0.538009i | \(-0.819177\pi\) |
0.999995 | + | 0.00312511i | \(0.000994756\pi\) | |||||||
\(14\) | −2.52485 | + | 1.20098i | −0.674795 | + | 0.320976i | ||||
\(15\) | 1.61927 | − | 0.739494i | 0.418092 | − | 0.190936i | ||||
\(16\) | −3.76027 | + | 1.36394i | −0.940069 | + | 0.340985i | ||||
\(17\) | 4.11188 | − | 4.74536i | 0.997278 | − | 1.15092i | 0.00873750 | − | 0.999962i | \(-0.497219\pi\) |
0.988540 | − | 0.150958i | \(-0.0482358\pi\) | |||||||
\(18\) | −1.27710 | + | 0.607470i | −0.301015 | + | 0.143182i | ||||
\(19\) | −0.948204 | + | 0.433030i | −0.217533 | + | 0.0993440i | −0.521201 | − | 0.853434i | \(-0.674516\pi\) |
0.303668 | + | 0.952778i | \(0.401789\pi\) | |||||||
\(20\) | 0.111001 | + | 3.55853i | 0.0248205 | + | 0.795712i | ||||
\(21\) | −0.281360 | − | 1.95690i | −0.0613977 | − | 0.427031i | ||||
\(22\) | 2.52237 | − | 2.25545i | 0.537770 | − | 0.480863i | ||||
\(23\) | 0.928479 | + | 1.44474i | 0.193601 | + | 0.301249i | 0.924460 | − | 0.381280i | \(-0.124516\pi\) |
−0.730859 | + | 0.682529i | \(0.760880\pi\) | |||||||
\(24\) | −0.132249 | − | 2.82533i | −0.0269952 | − | 0.576719i | ||||
\(25\) | −1.75696 | − | 0.515889i | −0.351391 | − | 0.103178i | ||||
\(26\) | −2.36704 | + | 1.57388i | −0.464214 | + | 0.308663i | ||||
\(27\) | −0.142315 | − | 0.989821i | −0.0273885 | − | 0.190491i | ||||
\(28\) | 3.82677 | + | 0.995158i | 0.723191 | + | 0.188067i | ||||
\(29\) | 4.21308 | 0.782349 | 0.391174 | − | 0.920317i | \(-0.372069\pi\) | ||||
0.391174 | + | 0.920317i | \(0.372069\pi\) | |||||||
\(30\) | −2.42628 | − | 0.671512i | −0.442975 | − | 0.122601i | ||||
\(31\) | −3.78067 | + | 1.11010i | −0.679028 | + | 0.199381i | −0.603019 | − | 0.797726i | \(-0.706036\pi\) |
−0.0760088 | + | 0.997107i | \(0.524218\pi\) | |||||||
\(32\) | 5.31304 | + | 1.94207i | 0.939221 | + | 0.343313i | ||||
\(33\) | 0.993935 | + | 2.17641i | 0.173022 | + | 0.378865i | ||||
\(34\) | −8.76871 | + | 1.40062i | −1.50382 | + | 0.240204i | ||||
\(35\) | 1.90271 | − | 2.96068i | 0.321617 | − | 0.500446i | ||||
\(36\) | 1.93562 | + | 0.503362i | 0.322603 | + | 0.0838936i | ||||
\(37\) | −3.34786 | −0.550385 | −0.275193 | − | 0.961389i | \(-0.588742\pi\) | ||||
−0.275193 | + | 0.961389i | \(0.588742\pi\) | |||||||
\(38\) | 1.42077 | + | 0.393222i | 0.230479 | + | 0.0637890i | ||||
\(39\) | −0.566274 | − | 1.92855i | −0.0906764 | − | 0.308815i | ||||
\(40\) | 3.11568 | − | 3.95518i | 0.492633 | − | 0.625370i | ||||
\(41\) | 5.72355 | + | 4.95949i | 0.893869 | + | 0.774542i | 0.975010 | − | 0.222161i | \(-0.0713111\pi\) |
−0.0811413 | + | 0.996703i | \(0.525857\pi\) | |||||||
\(42\) | −1.47474 | + | 2.37537i | −0.227557 | + | 0.366527i | ||||
\(43\) | 5.98082 | − | 6.90223i | 0.912066 | − | 1.05258i | −0.0863468 | − | 0.996265i | \(-0.527519\pi\) |
0.998413 | − | 0.0563154i | \(-0.0179352\pi\) | |||||||
\(44\) | −4.78294 | + | 0.149193i | −0.721055 | + | 0.0224917i | ||||
\(45\) | 0.962412 | − | 1.49754i | 0.143468 | − | 0.223240i | ||||
\(46\) | 0.308121 | − | 2.40910i | 0.0454300 | − | 0.355202i | ||||
\(47\) | 1.52819 | + | 2.37791i | 0.222910 | + | 0.346854i | 0.934638 | − | 0.355600i | \(-0.115724\pi\) |
−0.711728 | + | 0.702455i | \(0.752087\pi\) | |||||||
\(48\) | −2.42594 | + | 3.18038i | −0.350155 | + | 0.459048i | ||||
\(49\) | 2.02442 | + | 2.33631i | 0.289203 | + | 0.333758i | ||||
\(50\) | 1.43384 | + | 2.15643i | 0.202776 | + | 0.304965i | ||||
\(51\) | 0.893597 | − | 6.21510i | 0.125129 | − | 0.870289i | ||||
\(52\) | 3.99492 | + | 0.447762i | 0.553996 | + | 0.0620935i | ||||
\(53\) | 9.62778 | − | 8.34251i | 1.32248 | − | 1.14593i | 0.344139 | − | 0.938919i | \(-0.388171\pi\) |
0.978338 | − | 0.207014i | \(-0.0663744\pi\) | |||||||
\(54\) | −0.745940 | + | 1.20149i | −0.101510 | + | 0.163502i | ||||
\(55\) | −1.19996 | + | 4.08667i | −0.161802 | + | 0.551047i | ||||
\(56\) | −3.23984 | − | 4.55768i | −0.432941 | − | 0.609045i | ||||
\(57\) | −0.563566 | + | 0.876926i | −0.0746462 | + | 0.116152i | ||||
\(58\) | −4.56318 | − | 3.83111i | −0.599175 | − | 0.503049i | ||||
\(59\) | 0.922919 | + | 3.14317i | 0.120154 | + | 0.409206i | 0.997501 | − | 0.0706494i | \(-0.0225072\pi\) |
−0.877347 | + | 0.479856i | \(0.840689\pi\) | |||||||
\(60\) | 2.01727 | + | 2.93362i | 0.260428 | + | 0.378728i | ||||
\(61\) | 2.10509 | − | 0.302666i | 0.269529 | − | 0.0387524i | −0.00622508 | − | 0.999981i | \(-0.501982\pi\) |
0.275754 | + | 0.961228i | \(0.411072\pi\) | |||||||
\(62\) | 5.10430 | + | 2.23555i | 0.648247 | + | 0.283915i | ||||
\(63\) | −1.29467 | − | 1.49413i | −0.163114 | − | 0.188243i | ||||
\(64\) | −3.98855 | − | 6.93480i | −0.498569 | − | 0.866850i | ||||
\(65\) | 1.48636 | − | 3.25467i | 0.184360 | − | 0.403693i | ||||
\(66\) | 0.902563 | − | 3.26110i | 0.111098 | − | 0.401413i | ||||
\(67\) | −6.47628 | − | 5.00578i | −0.791203 | − | 0.611553i | ||||
\(68\) | 10.7710 | + | 6.45671i | 1.30618 | + | 0.782991i | ||||
\(69\) | 1.56217 | + | 0.713420i | 0.188063 | + | 0.0858857i | ||||
\(70\) | −4.75308 | + | 1.47650i | −0.568102 | + | 0.176476i | ||||
\(71\) | −5.54718 | + | 4.80665i | −0.658329 | + | 0.570445i | −0.918648 | − | 0.395078i | \(-0.870718\pi\) |
0.260319 | + | 0.965523i | \(0.416172\pi\) | |||||||
\(72\) | −1.63875 | − | 2.30532i | −0.193128 | − | 0.271685i | ||||
\(73\) | −0.690269 | − | 4.80092i | −0.0807898 | − | 0.561906i | −0.989506 | − | 0.144491i | \(-0.953845\pi\) |
0.908716 | − | 0.417414i | \(-0.137064\pi\) | |||||||
\(74\) | 3.62607 | + | 3.04434i | 0.421522 | + | 0.353897i | ||||
\(75\) | −1.75696 | + | 0.515889i | −0.202876 | + | 0.0595697i | ||||
\(76\) | −1.18127 | − | 1.71786i | −0.135500 | − | 0.197052i | ||||
\(77\) | 3.97937 | + | 2.55739i | 0.453491 | + | 0.291441i | ||||
\(78\) | −1.14037 | + | 2.60375i | −0.129122 | + | 0.294816i | ||||
\(79\) | −14.8572 | − | 4.36247i | −1.67157 | − | 0.490817i | −0.697408 | − | 0.716675i | \(-0.745663\pi\) |
−0.974160 | + | 0.225858i | \(0.927481\pi\) | |||||||
\(80\) | −6.97119 | + | 1.45066i | −0.779403 | + | 0.162188i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −1.68934 | − | 10.5763i | −0.186556 | − | 1.16795i | ||||
\(83\) | −6.76663 | − | 0.972894i | −0.742734 | − | 0.106789i | −0.239448 | − | 0.970909i | \(-0.576967\pi\) |
−0.503286 | + | 0.864120i | \(0.667876\pi\) | |||||||
\(84\) | 3.75730 | − | 1.23173i | 0.409955 | − | 0.134392i | ||||
\(85\) | 8.44737 | − | 7.31969i | 0.916246 | − | 0.793932i | ||||
\(86\) | −12.7543 | + | 2.03723i | −1.37533 | + | 0.219680i | ||||
\(87\) | 3.54426 | − | 2.27776i | 0.379985 | − | 0.244202i | ||||
\(88\) | 5.31607 | + | 4.18771i | 0.566695 | + | 0.446412i | ||||
\(89\) | −6.14420 | − | 3.94864i | −0.651284 | − | 0.418555i | 0.172851 | − | 0.984948i | \(-0.444702\pi\) |
−0.824135 | + | 0.566393i | \(0.808338\pi\) | |||||||
\(90\) | −2.40416 | + | 0.746831i | −0.253421 | + | 0.0787229i | ||||
\(91\) | −3.00316 | − | 2.60226i | −0.314817 | − | 0.272791i | ||||
\(92\) | −2.52441 | + | 2.32911i | −0.263188 | + | 0.242827i | ||||
\(93\) | −2.58033 | + | 2.97786i | −0.267568 | + | 0.308790i | ||||
\(94\) | 0.507140 | − | 3.96516i | 0.0523075 | − | 0.408975i | ||||
\(95\) | −1.78045 | + | 0.522788i | −0.182670 | + | 0.0536369i | ||||
\(96\) | 5.51957 | − | 1.23867i | 0.563339 | − | 0.126421i | ||||
\(97\) | − | 0.606253i | − | 0.0615556i | −0.999526 | − | 0.0307778i | \(-0.990202\pi\) | ||
0.999526 | − | 0.0307778i | \(-0.00979843\pi\) | |||||||
\(98\) | −0.0681606 | − | 4.37134i | −0.00688526 | − | 0.441572i | ||||
\(99\) | 2.01281 | + | 1.29355i | 0.202295 | + | 0.130007i | ||||
\(100\) | 0.407922 | − | 3.63947i | 0.0407922 | − | 0.363947i | ||||
\(101\) | 0.0826705 | − | 0.0377544i | 0.00822602 | − | 0.00375670i | −0.411298 | − | 0.911501i | \(-0.634924\pi\) |
0.419524 | + | 0.907744i | \(0.362197\pi\) | |||||||
\(102\) | −6.61948 | + | 5.91900i | −0.655426 | + | 0.586068i | ||||
\(103\) | 0.689707 | + | 2.34893i | 0.0679588 | + | 0.231447i | 0.986468 | − | 0.163953i | \(-0.0524244\pi\) |
−0.918509 | + | 0.395399i | \(0.870606\pi\) | |||||||
\(104\) | −3.91974 | − | 4.11770i | −0.384362 | − | 0.403774i | ||||
\(105\) | − | 3.51936i | − | 0.343455i | ||||||
\(106\) | −18.0140 | + | 0.280885i | −1.74967 | + | 0.0272820i | ||||
\(107\) | −4.80502 | + | 0.690857i | −0.464519 | + | 0.0667877i | −0.370601 | − | 0.928792i | \(-0.620848\pi\) |
−0.0939178 | + | 0.995580i | \(0.529939\pi\) | |||||||
\(108\) | 1.90049 | − | 0.623021i | 0.182874 | − | 0.0599502i | ||||
\(109\) | −1.10838 | + | 3.77479i | −0.106164 | + | 0.361560i | −0.995390 | − | 0.0959069i | \(-0.969425\pi\) |
0.889227 | + | 0.457467i | \(0.151243\pi\) | |||||||
\(110\) | 5.01584 | − | 3.33511i | 0.478241 | − | 0.317990i | ||||
\(111\) | −2.81640 | + | 1.80999i | −0.267321 | + | 0.171797i | ||||
\(112\) | −0.635396 | + | 7.88252i | −0.0600393 | + | 0.744829i | ||||
\(113\) | −1.55991 | + | 0.224281i | −0.146744 | + | 0.0210986i | −0.215295 | − | 0.976549i | \(-0.569071\pi\) |
0.0685513 | + | 0.997648i | \(0.478162\pi\) | |||||||
\(114\) | 1.40782 | − | 0.437327i | 0.131854 | − | 0.0409594i | ||||
\(115\) | 1.26998 | + | 2.78087i | 0.118426 | + | 0.259318i | ||||
\(116\) | 1.45862 | + | 8.29894i | 0.135429 | + | 0.770538i | ||||
\(117\) | −1.51903 | − | 1.31625i | −0.140435 | − | 0.121687i | ||||
\(118\) | 1.85859 | − | 4.24362i | 0.171097 | − | 0.390657i | ||||
\(119\) | −5.15686 | − | 11.2920i | −0.472729 | − | 1.03513i | ||||
\(120\) | 0.482744 | − | 5.01178i | 0.0440683 | − | 0.457511i | ||||
\(121\) | 5.06163 | + | 1.48623i | 0.460148 | + | 0.135112i | ||||
\(122\) | −2.55525 | − | 1.58642i | −0.231341 | − | 0.143628i | ||||
\(123\) | 7.49626 | + | 1.07780i | 0.675915 | + | 0.0971819i | ||||
\(124\) | −3.49560 | − | 7.06286i | −0.313915 | − | 0.634263i | ||||
\(125\) | −11.0614 | − | 5.05158i | −0.989363 | − | 0.451827i | ||||
\(126\) | 0.0435906 | + | 2.79559i | 0.00388336 | + | 0.249051i | ||||
\(127\) | 6.66004 | + | 3.04154i | 0.590983 | + | 0.269893i | 0.688377 | − | 0.725353i | \(-0.258323\pi\) |
−0.0973940 | + | 0.995246i | \(0.531051\pi\) | |||||||
\(128\) | −1.98607 | + | 11.1380i | −0.175546 | + | 0.984471i | ||||
\(129\) | 1.29976 | − | 9.04000i | 0.114437 | − | 0.795928i | ||||
\(130\) | −4.56947 | + | 2.17354i | −0.400769 | + | 0.190632i | ||||
\(131\) | 5.78064 | + | 8.99486i | 0.505057 | + | 0.785884i | 0.996373 | − | 0.0850975i | \(-0.0271202\pi\) |
−0.491316 | + | 0.870982i | \(0.663484\pi\) | |||||||
\(132\) | −3.94300 | + | 2.71136i | −0.343194 | + | 0.235994i | ||||
\(133\) | 2.06086i | 0.178699i | ||||||||
\(134\) | 2.46252 | + | 11.3109i | 0.212729 | + | 0.977111i | ||||
\(135\) | − | 1.78013i | − | 0.153209i | ||||||
\(136\) | −5.79478 | − | 16.7878i | −0.496898 | − | 1.43954i | ||||
\(137\) | 12.1909 | + | 18.9695i | 1.04154 | + | 1.62067i | 0.746743 | + | 0.665113i | \(0.231617\pi\) |
0.294800 | + | 0.955559i | \(0.404747\pi\) | |||||||
\(138\) | −1.04325 | − | 2.19325i | −0.0888073 | − | 0.186702i | ||||
\(139\) | 0.199825 | − | 1.38981i | 0.0169490 | − | 0.117883i | −0.979591 | − | 0.201004i | \(-0.935580\pi\) |
0.996539 | + | 0.0831210i | \(0.0264888\pi\) | |||||||
\(140\) | 6.49070 | + | 2.72295i | 0.548564 | + | 0.230131i | ||||
\(141\) | 2.57120 | + | 1.17423i | 0.216534 | + | 0.0988876i | ||||
\(142\) | 10.3790 | − | 0.161836i | 0.870988 | − | 0.0135810i | ||||
\(143\) | 4.37453 | + | 1.99778i | 0.365816 | + | 0.167063i | ||||
\(144\) | −0.321390 | + | 3.98707i | −0.0267825 | + | 0.332256i | ||||
\(145\) | 7.42349 | + | 1.06734i | 0.616488 | + | 0.0886375i | ||||
\(146\) | −3.61803 | + | 5.82757i | −0.299430 | + | 0.482293i | ||||
\(147\) | 2.96616 | + | 0.870943i | 0.244645 | + | 0.0718341i | ||||
\(148\) | −1.15907 | − | 6.59464i | −0.0952750 | − | 0.542076i | ||||
\(149\) | 0.496798 | + | 1.08784i | 0.0406993 | + | 0.0891191i | 0.928890 | − | 0.370357i | \(-0.120765\pi\) |
−0.888190 | + | 0.459476i | \(0.848037\pi\) | |||||||
\(150\) | 2.37208 | + | 1.03891i | 0.193679 | + | 0.0848263i | ||||
\(151\) | 8.47854 | + | 7.34670i | 0.689974 | + | 0.597866i | 0.927637 | − | 0.373482i | \(-0.121836\pi\) |
−0.237664 | + | 0.971347i | \(0.576382\pi\) | |||||||
\(152\) | −0.282684 | + | 2.93478i | −0.0229287 | + | 0.238042i | ||||
\(153\) | −2.60840 | − | 5.71159i | −0.210876 | − | 0.461755i | ||||
\(154\) | −1.98453 | − | 6.38850i | −0.159918 | − | 0.514800i | ||||
\(155\) | −6.94282 | + | 0.998227i | −0.557661 | + | 0.0801795i | ||||
\(156\) | 3.60282 | − | 1.78314i | 0.288457 | − | 0.142765i | ||||
\(157\) | 0.653067 | − | 0.419701i | 0.0521205 | − | 0.0334958i | −0.514321 | − | 0.857598i | \(-0.671956\pi\) |
0.566442 | + | 0.824102i | \(0.308320\pi\) | |||||||
\(158\) | 12.1249 | + | 18.2352i | 0.964605 | + | 1.45072i | ||||
\(159\) | 3.58910 | − | 12.2233i | 0.284634 | − | 0.969374i | ||||
\(160\) | 8.86963 | + | 4.76796i | 0.701206 | + | 0.376940i | ||||
\(161\) | 3.36072 | − | 0.483198i | 0.264861 | − | 0.0380813i | ||||
\(162\) | 0.0220486 | + | 1.41404i | 0.00173230 | + | 0.111098i | ||||
\(163\) | 9.72324i | 0.761583i | 0.924661 | + | 0.380791i | \(0.124348\pi\) | ||||
−0.924661 | + | 0.380791i | \(0.875652\pi\) | |||||||
\(164\) | −7.78767 | + | 12.9913i | −0.608115 | + | 1.01445i | ||||
\(165\) | 1.19996 | + | 4.08667i | 0.0934164 | + | 0.318147i | ||||
\(166\) | 6.44425 | + | 7.20689i | 0.500170 | + | 0.559363i | ||||
\(167\) | 18.1833 | − | 8.30404i | 1.40707 | − | 0.642586i | 0.440208 | − | 0.897896i | \(-0.354905\pi\) |
0.966859 | + | 0.255310i | \(0.0821775\pi\) | |||||||
\(168\) | −5.18959 | − | 2.08257i | −0.400386 | − | 0.160674i | ||||
\(169\) | 7.53765 | + | 4.84415i | 0.579819 | + | 0.372627i | ||||
\(170\) | −15.8054 | + | 0.246448i | −1.21222 | + | 0.0189017i | ||||
\(171\) | 1.04240i | 0.0797146i | ||||||||
\(172\) | 15.6667 | + | 9.39142i | 1.19457 | + | 0.716089i | ||||
\(173\) | −20.3429 | + | 5.97321i | −1.54664 | + | 0.454135i | −0.940094 | − | 0.340914i | \(-0.889263\pi\) |
−0.606546 | + | 0.795049i | \(0.707445\pi\) | |||||||
\(174\) | −5.91005 | − | 0.755889i | −0.448039 | − | 0.0573038i | ||||
\(175\) | −2.37072 | + | 2.73595i | −0.179209 | + | 0.206819i | ||||
\(176\) | −1.94979 | − | 9.36981i | −0.146971 | − | 0.706276i | ||||
\(177\) | 2.47574 | + | 2.14524i | 0.186088 | + | 0.161246i | ||||
\(178\) | 3.06414 | + | 9.86393i | 0.229667 | + | 0.739333i | ||||
\(179\) | 17.7734 | + | 11.4223i | 1.32845 | + | 0.853740i | 0.995997 | − | 0.0893818i | \(-0.0284891\pi\) |
0.332448 | + | 0.943122i | \(0.392126\pi\) | |||||||
\(180\) | 3.28307 | + | 1.37730i | 0.244705 | + | 0.102658i | ||||
\(181\) | −5.17591 | + | 3.32636i | −0.384723 | + | 0.247246i | −0.718678 | − | 0.695343i | \(-0.755253\pi\) |
0.333956 | + | 0.942589i | \(0.391616\pi\) | |||||||
\(182\) | 0.886399 | + | 5.54939i | 0.0657043 | + | 0.411348i | ||||
\(183\) | 1.60728 | − | 1.39272i | 0.118814 | − | 0.102953i | ||||
\(184\) | 4.85214 | − | 0.227120i | 0.357704 | − | 0.0167435i | ||||
\(185\) | −5.89898 | − | 0.848145i | −0.433701 | − | 0.0623568i | ||||
\(186\) | 5.50264 | − | 0.878931i | 0.403473 | − | 0.0644464i | ||||
\(187\) | 9.83822 | + | 11.3539i | 0.719442 | + | 0.830280i | ||||
\(188\) | −4.15495 | + | 3.83351i | −0.303031 | + | 0.279587i | ||||
\(189\) | −1.89694 | − | 0.556992i | −0.137982 | − | 0.0405152i | ||||
\(190\) | 2.40380 | + | 1.05280i | 0.174390 | + | 0.0763781i | ||||
\(191\) | −8.17808 | − | 5.25573i | −0.591745 | − | 0.380291i | 0.210227 | − | 0.977653i | \(-0.432580\pi\) |
−0.801972 | + | 0.597361i | \(0.796216\pi\) | |||||||
\(192\) | −7.10462 | − | 3.67755i | −0.512732 | − | 0.265404i | ||||
\(193\) | −18.6592 | + | 5.47884i | −1.34312 | + | 0.394375i | −0.872782 | − | 0.488111i | \(-0.837686\pi\) |
−0.470338 | + | 0.882486i | \(0.655868\pi\) | |||||||
\(194\) | −0.551288 | + | 0.656632i | −0.0395802 | + | 0.0471434i | ||||
\(195\) | −0.509204 | − | 3.54159i | −0.0364649 | − | 0.253619i | ||||
\(196\) | −3.90120 | + | 4.79658i | −0.278657 | + | 0.342613i | ||||
\(197\) | 2.49101 | − | 2.15847i | 0.177477 | − | 0.153785i | −0.561592 | − | 0.827414i | \(-0.689811\pi\) |
0.739069 | + | 0.673629i | \(0.235266\pi\) | |||||||
\(198\) | −1.00380 | − | 3.23137i | −0.0713368 | − | 0.229644i | ||||
\(199\) | −17.7051 | − | 8.08563i | −1.25508 | − | 0.573175i | −0.326811 | − | 0.945090i | \(-0.605974\pi\) |
−0.928267 | + | 0.371914i | \(0.878701\pi\) | |||||||
\(200\) | −3.75133 | + | 3.57097i | −0.265259 | + | 0.252506i | ||||
\(201\) | −8.15452 | − | 0.709787i | −0.575176 | − | 0.0500645i | ||||
\(202\) | −0.123872 | − | 0.0342836i | −0.00871559 | − | 0.00241219i | ||||
\(203\) | 3.46014 | − | 7.57664i | 0.242854 | − | 0.531776i | ||||
\(204\) | 12.5519 | − | 0.391530i | 0.878811 | − | 0.0274126i | ||||
\(205\) | 8.82854 | + | 10.1887i | 0.616612 | + | 0.711608i | ||||
\(206\) | 1.38894 | − | 3.17130i | 0.0967723 | − | 0.220955i | ||||
\(207\) | 1.69989 | − | 0.244407i | 0.118150 | − | 0.0169874i | ||||
\(208\) | 0.501085 | + | 8.02425i | 0.0347440 | + | 0.556382i | ||||
\(209\) | −0.702666 | − | 2.39306i | −0.0486044 | − | 0.165531i | ||||
\(210\) | −3.20029 | + | 3.81182i | −0.220841 | + | 0.263041i | ||||
\(211\) | −7.72185 | + | 12.0154i | −0.531594 | + | 0.827177i | −0.998363 | − | 0.0572028i | \(-0.981782\pi\) |
0.466768 | + | 0.884380i | \(0.345418\pi\) | |||||||
\(212\) | 19.7664 | + | 16.0766i | 1.35756 | + | 1.10414i | ||||
\(213\) | −2.06791 | + | 7.04264i | −0.141691 | + | 0.482554i | ||||
\(214\) | 5.83254 | + | 3.62111i | 0.398704 | + | 0.247534i | ||||
\(215\) | 12.2869 | − | 10.6466i | 0.837959 | − | 0.726095i | ||||
\(216\) | −2.62495 | − | 1.05339i | −0.178605 | − | 0.0716740i | ||||
\(217\) | −1.10864 | + | 7.71073i | −0.0752591 | + | 0.523438i | ||||
\(218\) | 4.63305 | − | 3.08059i | 0.313790 | − | 0.208644i | ||||
\(219\) | −3.17627 | − | 3.66561i | −0.214632 | − | 0.247699i | ||||
\(220\) | −8.46539 | − | 0.948825i | −0.570737 | − | 0.0639698i | ||||
\(221\) | −6.82323 | − | 10.6172i | −0.458980 | − | 0.714187i | ||||
\(222\) | 4.69634 | + | 0.600657i | 0.315197 | + | 0.0403134i | ||||
\(223\) | −12.1667 | + | 18.9317i | −0.814740 | + | 1.26776i | 0.145716 | + | 0.989326i | \(0.453451\pi\) |
−0.960456 | + | 0.278433i | \(0.910185\pi\) | |||||||
\(224\) | 7.85607 | − | 7.95977i | 0.524906 | − | 0.531835i | ||||
\(225\) | −1.19914 | + | 1.38388i | −0.0799423 | + | 0.0922584i | ||||
\(226\) | 1.89349 | + | 1.17557i | 0.125953 | + | 0.0781974i | ||||
\(227\) | −8.05718 | − | 6.98158i | −0.534774 | − | 0.463384i | 0.345117 | − | 0.938559i | \(-0.387839\pi\) |
−0.879891 | + | 0.475176i | \(0.842385\pi\) | |||||||
\(228\) | −1.92249 | − | 0.806514i | −0.127320 | − | 0.0534127i | ||||
\(229\) | −1.23012 | − | 4.18940i | −0.0812885 | − | 0.276843i | 0.908812 | − | 0.417207i | \(-0.136991\pi\) |
−0.990100 | + | 0.140364i | \(0.955173\pi\) | |||||||
\(230\) | 1.15323 | − | 4.16681i | 0.0760419 | − | 0.274751i | ||||
\(231\) | 4.73029 | 0.311230 | ||||||||
\(232\) | 5.96671 | − | 10.3150i | 0.391734 | − | 0.677210i | ||||
\(233\) | −12.6975 | + | 19.7577i | −0.831840 | + | 1.29437i | 0.121538 | + | 0.992587i | \(0.461217\pi\) |
−0.953377 | + | 0.301781i | \(0.902419\pi\) | |||||||
\(234\) | 0.448350 | + | 2.80694i | 0.0293096 | + | 0.183496i | ||||
\(235\) | 2.09028 | + | 4.57707i | 0.136355 | + | 0.298575i | ||||
\(236\) | −5.87192 | + | 2.90618i | −0.382229 | + | 0.189176i | ||||
\(237\) | −14.8572 | + | 4.36247i | −0.965080 | + | 0.283373i | ||||
\(238\) | −4.68279 | + | 16.9196i | −0.303540 | + | 1.09674i | ||||
\(239\) | 10.4669 | 0.677048 | 0.338524 | − | 0.940958i | \(-0.390072\pi\) | ||||
0.338524 | + | 0.940958i | \(0.390072\pi\) | |||||||
\(240\) | −5.08026 | + | 4.98928i | −0.327929 | + | 0.322057i | ||||
\(241\) | 2.65578 | + | 18.4713i | 0.171074 | + | 1.18984i | 0.876621 | + | 0.481181i | \(0.159792\pi\) |
−0.705548 | + | 0.708662i | \(0.749299\pi\) | |||||||
\(242\) | −4.13077 | − | 6.21246i | −0.265536 | − | 0.399352i | ||||
\(243\) | −0.959493 | − | 0.281733i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | 1.32500 | + | 4.04183i | 0.0848245 | + | 0.258752i | ||||
\(245\) | 2.97518 | + | 4.62947i | 0.190077 | + | 0.295766i | ||||
\(246\) | −7.13912 | − | 7.98399i | −0.455173 | − | 0.509041i | ||||
\(247\) | 0.298178 | + | 2.07387i | 0.0189726 | + | 0.131957i | ||||
\(248\) | −2.63643 | + | 10.8285i | −0.167413 | + | 0.687608i | ||||
\(249\) | −6.21844 | + | 2.83986i | −0.394077 | + | 0.179969i | ||||
\(250\) | 7.38703 | + | 15.5299i | 0.467197 | + | 0.982198i | ||||
\(251\) | −6.80992 | + | 7.85907i | −0.429838 | + | 0.496060i | −0.928809 | − | 0.370559i | \(-0.879166\pi\) |
0.498971 | + | 0.866619i | \(0.333712\pi\) | |||||||
\(252\) | 2.49492 | − | 3.06755i | 0.157165 | − | 0.193237i | ||||
\(253\) | −3.73770 | + | 1.70695i | −0.234987 | + | 0.107315i | ||||
\(254\) | −4.44771 | − | 9.35052i | −0.279074 | − | 0.586704i | ||||
\(255\) | 3.14906 | − | 10.7247i | 0.197202 | − | 0.671607i | ||||
\(256\) | 12.2793 | − | 10.2576i | 0.767458 | − | 0.641099i | ||||
\(257\) | 1.69235 | − | 11.7706i | 0.105566 | − | 0.734227i | −0.866442 | − | 0.499278i | \(-0.833599\pi\) |
0.972008 | − | 0.234949i | \(-0.0754923\pi\) | |||||||
\(258\) | −9.62818 | + | 8.60931i | −0.599424 | + | 0.535992i | ||||
\(259\) | −2.74955 | + | 6.02067i | −0.170849 | + | 0.374106i | ||||
\(260\) | 6.92567 | + | 1.80103i | 0.429512 | + | 0.111695i | ||||
\(261\) | 1.75017 | − | 3.83235i | 0.108333 | − | 0.237216i | ||||
\(262\) | 1.91834 | − | 14.9989i | 0.118516 | − | 0.926634i | ||||
\(263\) | −0.273729 | − | 0.0393562i | −0.0168788 | − | 0.00242681i | 0.133870 | − | 0.990999i | \(-0.457259\pi\) |
−0.150749 | + | 0.988572i | \(0.548169\pi\) | |||||||
\(264\) | 6.73621 | + | 0.648844i | 0.414585 | + | 0.0399336i | ||||
\(265\) | 19.0777 | − | 12.2605i | 1.17194 | − | 0.753158i | ||||
\(266\) | 1.87401 | − | 2.23211i | 0.114903 | − | 0.136860i | ||||
\(267\) | −7.30363 | −0.446975 | ||||||||
\(268\) | 7.61825 | − | 14.4901i | 0.465359 | − | 0.885122i | ||||
\(269\) | 17.8885 | 1.09068 | 0.545342 | − | 0.838214i | \(-0.316400\pi\) | ||||
0.545342 | + | 0.838214i | \(0.316400\pi\) | |||||||
\(270\) | −1.61874 | + | 1.92806i | −0.0985134 | + | 0.117338i | ||||
\(271\) | −6.26914 | + | 4.02893i | −0.380823 | + | 0.244740i | −0.717022 | − | 0.697051i | \(-0.754495\pi\) |
0.336198 | + | 0.941791i | \(0.390859\pi\) | |||||||
\(272\) | −8.98941 | + | 23.4522i | −0.545063 | + | 1.42200i | ||||
\(273\) | −3.93331 | − | 0.565524i | −0.238055 | − | 0.0342271i | ||||
\(274\) | 4.04564 | − | 31.6315i | 0.244406 | − | 1.91093i | ||||
\(275\) | 1.82002 | − | 3.98530i | 0.109752 | − | 0.240322i | ||||
\(276\) | −0.864457 | + | 3.32417i | −0.0520342 | + | 0.200092i | ||||
\(277\) | −0.111969 | + | 0.245179i | −0.00672759 | + | 0.0147314i | −0.912966 | − | 0.408036i | \(-0.866214\pi\) |
0.906238 | + | 0.422767i | \(0.138941\pi\) | |||||||
\(278\) | −1.48024 | + | 1.32360i | −0.0887789 | + | 0.0793843i | ||||
\(279\) | −0.560760 | + | 3.90017i | −0.0335718 | + | 0.233497i | ||||
\(280\) | −4.55400 | − | 8.85146i | −0.272153 | − | 0.528976i | ||||
\(281\) | −6.94070 | + | 23.6379i | −0.414048 | + | 1.41012i | 0.443760 | + | 0.896146i | \(0.353644\pi\) |
−0.857807 | + | 0.513971i | \(0.828174\pi\) | |||||||
\(282\) | −1.71709 | − | 3.60989i | −0.102252 | − | 0.214966i | ||||
\(283\) | 7.80161 | − | 3.56288i | 0.463758 | − | 0.211791i | −0.169812 | − | 0.985476i | \(-0.554316\pi\) |
0.633570 | + | 0.773685i | \(0.281589\pi\) | |||||||
\(284\) | −11.3887 | − | 9.26274i | −0.675794 | − | 0.549643i | ||||
\(285\) | −1.21517 | + | 1.40238i | −0.0719805 | + | 0.0830699i | ||||
\(286\) | −2.92140 | − | 6.14172i | −0.172746 | − | 0.363167i | ||||
\(287\) | 13.6196 | − | 6.21987i | 0.803941 | − | 0.367148i | ||||
\(288\) | 3.97369 | − | 4.02614i | 0.234152 | − | 0.237243i | ||||
\(289\) | −3.19156 | − | 22.1978i | −0.187739 | − | 1.30575i | ||||
\(290\) | −7.06982 | − | 7.90649i | −0.415154 | − | 0.464285i | ||||
\(291\) | −0.327765 | − | 0.510012i | −0.0192139 | − | 0.0298974i | ||||
\(292\) | 9.21791 | − | 3.02183i | 0.539437 | − | 0.176839i | ||||
\(293\) | −25.2052 | − | 7.40090i | −1.47250 | − | 0.432365i | −0.555590 | − | 0.831456i | \(-0.687508\pi\) |
−0.916911 | + | 0.399091i | \(0.869326\pi\) | |||||||
\(294\) | −2.42067 | − | 3.64056i | −0.141176 | − | 0.212322i | ||||
\(295\) | 0.829906 | + | 5.77212i | 0.0483190 | + | 0.336066i | ||||
\(296\) | −4.74136 | + | 8.19664i | −0.275586 | + | 0.476420i | ||||
\(297\) | 2.39263 | 0.138835 | ||||||||
\(298\) | 0.451128 | − | 1.62999i | 0.0261331 | − | 0.0944230i | ||||
\(299\) | 3.31203 | − | 0.972500i | 0.191540 | − | 0.0562411i | ||||
\(300\) | −1.62448 | − | 3.28226i | −0.0937894 | − | 0.189501i | ||||
\(301\) | −7.50076 | − | 16.4244i | −0.432337 | − | 0.946686i | ||||
\(302\) | −2.50248 | − | 15.6671i | −0.144002 | − | 0.901538i | ||||
\(303\) | 0.0491353 | − | 0.0764560i | 0.00282275 | − | 0.00439228i | ||||
\(304\) | 2.97488 | − | 2.92161i | 0.170621 | − | 0.167566i | ||||
\(305\) | 3.78587 | 0.216778 | ||||||||
\(306\) | −2.36861 | + | 8.55814i | −0.135404 | + | 0.489236i | ||||
\(307\) | 4.76140 | + | 16.2158i | 0.271747 | + | 0.925486i | 0.976407 | + | 0.215940i | \(0.0692816\pi\) |
−0.704659 | + | 0.709546i | \(0.748900\pi\) | |||||||
\(308\) | −3.65985 | + | 8.72399i | −0.208539 | + | 0.497095i | ||||
\(309\) | 1.85014 | + | 1.60316i | 0.105251 | + | 0.0912005i | ||||
\(310\) | 8.42750 | + | 5.23219i | 0.478650 | + | 0.297168i | ||||
\(311\) | 7.37531 | − | 8.51156i | 0.418215 | − | 0.482646i | −0.507077 | − | 0.861901i | \(-0.669274\pi\) |
0.925292 | + | 0.379255i | \(0.123820\pi\) | |||||||
\(312\) | −5.52369 | − | 1.34486i | −0.312717 | − | 0.0761379i | ||||
\(313\) | −11.3008 | + | 17.5844i | −0.638760 | + | 0.993930i | 0.359394 | + | 0.933186i | \(0.382984\pi\) |
−0.998153 | + | 0.0607436i | \(0.980653\pi\) | |||||||
\(314\) | −1.08899 | − | 0.139280i | −0.0614551 | − | 0.00786004i | ||||
\(315\) | −1.90271 | − | 2.96068i | −0.107206 | − | 0.166815i | ||||
\(316\) | 3.44948 | − | 30.7762i | 0.194048 | − | 1.73130i | ||||
\(317\) | −3.46188 | − | 3.99522i | −0.194438 | − | 0.224394i | 0.650156 | − | 0.759801i | \(-0.274704\pi\) |
−0.844594 | + | 0.535407i | \(0.820158\pi\) | |||||||
\(318\) | −15.0025 | + | 9.97540i | −0.841298 | + | 0.559393i | ||||
\(319\) | −1.43458 | + | 9.97774i | −0.0803212 | + | 0.558646i | ||||
\(320\) | −5.27102 | − | 13.2297i | −0.294659 | − | 0.739561i | ||||
\(321\) | −3.66873 | + | 3.17897i | −0.204769 | + | 0.177433i | ||||
\(322\) | −4.07938 | − | 2.53267i | −0.227335 | − | 0.141140i | ||||
\(323\) | −1.84402 | + | 6.28014i | −0.102604 | + | 0.349436i | ||||
\(324\) | 1.26196 | − | 1.55160i | 0.0701089 | − | 0.0861999i | ||||
\(325\) | −1.98984 | + | 3.09625i | −0.110376 | + | 0.171749i | ||||
\(326\) | 8.84170 | − | 10.5312i | 0.489696 | − | 0.583271i | ||||
\(327\) | 1.10838 | + | 3.77479i | 0.0612935 | + | 0.208747i | ||||
\(328\) | 20.2483 | − | 6.98929i | 1.11803 | − | 0.385919i | ||||
\(329\) | 5.53144 | − | 0.795300i | 0.304958 | − | 0.0438463i | ||||
\(330\) | 2.41649 | − | 5.51744i | 0.133023 | − | 0.303725i | ||||
\(331\) | 13.7440 | + | 15.8614i | 0.755438 | + | 0.871822i | 0.995084 | − | 0.0990386i | \(-0.0315767\pi\) |
−0.239646 | + | 0.970860i | \(0.577031\pi\) | |||||||
\(332\) | −0.426274 | − | 13.6658i | −0.0233948 | − | 0.750007i | ||||
\(333\) | −1.39075 | + | 3.04532i | −0.0762128 | + | 0.166883i | ||||
\(334\) | −27.2455 | − | 7.54065i | −1.49081 | − | 0.412606i | ||||
\(335\) | −10.1431 | − | 10.4609i | −0.554178 | − | 0.571542i | ||||
\(336\) | 3.72709 | + | 6.97472i | 0.203329 | + | 0.380502i | ||||
\(337\) | −10.5943 | − | 4.83825i | −0.577108 | − | 0.263557i | 0.105405 | − | 0.994429i | \(-0.466386\pi\) |
−0.682514 | + | 0.730873i | \(0.739113\pi\) | |||||||
\(338\) | −3.75906 | − | 12.1010i | −0.204466 | − | 0.658206i | ||||
\(339\) | −1.19102 | + | 1.03203i | −0.0646876 | + | 0.0560521i | ||||
\(340\) | 17.3430 | + | 14.1055i | 0.940554 | + | 0.764980i | ||||
\(341\) | −1.34169 | − | 9.33168i | −0.0726567 | − | 0.505339i | ||||
\(342\) | 0.947897 | − | 1.12903i | 0.0512564 | − | 0.0610508i | ||||
\(343\) | 19.1427 | − | 5.62082i | 1.03361 | − | 0.303496i | ||||
\(344\) | −8.42863 | − | 24.4182i | −0.454441 | − | 1.31654i | ||||
\(345\) | 2.57183 | + | 1.65281i | 0.138463 | + | 0.0889846i | ||||
\(346\) | 27.4650 | + | 12.0290i | 1.47653 | + | 0.646680i | ||||
\(347\) | 4.49498 | + | 1.31984i | 0.241303 | + | 0.0708530i | 0.400148 | − | 0.916451i | \(-0.368959\pi\) |
−0.158845 | + | 0.987304i | \(0.550777\pi\) | |||||||
\(348\) | 5.71381 | + | 6.19293i | 0.306293 | + | 0.331976i | ||||
\(349\) | −10.6234 | − | 12.2601i | −0.568660 | − | 0.656268i | 0.396468 | − | 0.918049i | \(-0.370236\pi\) |
−0.965127 | + | 0.261780i | \(0.915690\pi\) | |||||||
\(350\) | 5.05563 | − | 0.807531i | 0.270235 | − | 0.0431643i | ||||
\(351\) | −1.98951 | − | 0.286049i | −0.106192 | − | 0.0152681i | ||||
\(352\) | −6.40849 | + | 11.9215i | −0.341574 | + | 0.635416i | ||||
\(353\) | 3.36982 | − | 2.91996i | 0.179357 | − | 0.155414i | −0.560555 | − | 0.828117i | \(-0.689412\pi\) |
0.739913 | + | 0.672703i | \(0.234867\pi\) | |||||||
\(354\) | −0.730726 | − | 4.57479i | −0.0388377 | − | 0.243147i | ||||
\(355\) | −10.9919 | + | 7.06407i | −0.583390 | + | 0.374922i | ||||
\(356\) | 5.65086 | − | 13.4700i | 0.299495 | − | 0.713906i | ||||
\(357\) | −10.4431 | − | 6.71138i | −0.552708 | − | 0.355204i | ||||
\(358\) | −8.86367 | − | 28.5335i | −0.468460 | − | 1.50804i | ||||
\(359\) | 12.0898 | + | 10.4759i | 0.638078 | + | 0.552898i | 0.912687 | − | 0.408658i | \(-0.134003\pi\) |
−0.274610 | + | 0.961556i | \(0.588549\pi\) | |||||||
\(360\) | −2.30346 | − | 4.47717i | −0.121403 | − | 0.235967i | ||||
\(361\) | −11.7308 | + | 13.5380i | −0.617409 | + | 0.712528i | ||||
\(362\) | 8.63081 | + | 1.10387i | 0.453625 | + | 0.0580182i | ||||
\(363\) | 5.06163 | − | 1.48623i | 0.265666 | − | 0.0780067i | ||||
\(364\) | 4.08621 | − | 6.81659i | 0.214176 | − | 0.357286i | ||||
\(365\) | − | 8.63416i | − | 0.451933i | ||||||
\(366\) | −3.00729 | + | 0.0468916i | −0.157194 | + | 0.00245106i | ||||
\(367\) | −21.1011 | − | 13.5609i | −1.10147 | − | 0.707871i | −0.142051 | − | 0.989859i | \(-0.545370\pi\) |
−0.959418 | + | 0.281988i | \(0.909006\pi\) | |||||||
\(368\) | −5.46188 | − | 4.16623i | −0.284720 | − | 0.217180i | ||||
\(369\) | 6.88896 | − | 3.14608i | 0.358625 | − | 0.163778i | ||||
\(370\) | 5.61793 | + | 6.28278i | 0.292062 | + | 0.326626i | ||||
\(371\) | −7.09572 | − | 24.1658i | −0.368392 | − | 1.25463i | ||||
\(372\) | −6.75916 | − | 4.05179i | −0.350446 | − | 0.210075i | ||||
\(373\) | − | 0.0208542i | − | 0.00107979i | −1.00000 | 0.000539896i | \(-0.999828\pi\) | |||
1.00000 | 0.000539896i | \(-0.000171854\pi\) | ||||||||
\(374\) | −0.331244 | − | 21.2437i | −0.0171282 | − | 1.09848i | ||||
\(375\) | −12.0365 | + | 1.73059i | −0.621564 | + | 0.0893674i | ||||
\(376\) | 7.98618 | − | 0.373819i | 0.411856 | − | 0.0192782i | ||||
\(377\) | 2.38575 | − | 8.12513i | 0.122873 | − | 0.418466i | ||||
\(378\) | 1.54808 | + | 2.32824i | 0.0796248 | + | 0.119752i | ||||
\(379\) | −12.2878 | + | 7.89688i | −0.631181 | + | 0.405635i | −0.816747 | − | 0.576996i | \(-0.804225\pi\) |
0.185566 | + | 0.982632i | \(0.440588\pi\) | |||||||
\(380\) | −1.64620 | − | 3.32615i | −0.0844485 | − | 0.170628i | ||||
\(381\) | 7.24716 | − | 1.04198i | 0.371283 | − | 0.0533825i | ||||
\(382\) | 4.07845 | + | 13.1291i | 0.208671 | + | 0.671744i | ||||
\(383\) | 11.0930 | + | 24.2903i | 0.566827 | + | 1.24118i | 0.948470 | + | 0.316868i | \(0.102631\pi\) |
−0.381643 | + | 0.924310i | \(0.624642\pi\) | |||||||
\(384\) | 4.35088 | + | 10.4437i | 0.222030 | + | 0.532950i | ||||
\(385\) | 6.36382 | + | 5.51428i | 0.324330 | + | 0.281034i | ||||
\(386\) | 25.1919 | + | 11.0334i | 1.28223 | + | 0.561584i | ||||
\(387\) | −3.79397 | − | 8.30763i | −0.192858 | − | 0.422301i | ||||
\(388\) | 1.19420 | − | 0.209892i | 0.0606263 | − | 0.0106556i | ||||
\(389\) | −36.2474 | − | 10.6432i | −1.83781 | − | 0.539631i | −0.837834 | − | 0.545926i | \(-0.816178\pi\) |
−0.999980 | + | 0.00629471i | \(0.997996\pi\) | |||||||
\(390\) | −2.66898 | + | 4.29894i | −0.135149 | + | 0.217685i | ||||
\(391\) | 10.6736 | + | 1.53463i | 0.539788 | + | 0.0776098i | ||||
\(392\) | 8.58710 | − | 1.64767i | 0.433714 | − | 0.0832201i | ||||
\(393\) | 9.72597 | + | 4.44170i | 0.490610 | + | 0.224054i | ||||
\(394\) | −4.66079 | + | 0.0726739i | −0.234807 | + | 0.00366126i | ||||
\(395\) | −25.0734 | − | 11.4506i | −1.26158 | − | 0.576145i | ||||
\(396\) | −1.85119 | + | 4.41269i | −0.0930259 | + | 0.221746i | ||||
\(397\) | 1.48835 | − | 10.3517i | 0.0746979 | − | 0.519535i | −0.917778 | − | 0.397094i | \(-0.870019\pi\) |
0.992476 | − | 0.122441i | \(-0.0390723\pi\) | |||||||
\(398\) | 11.8238 | + | 24.8574i | 0.592673 | + | 1.24599i | ||||
\(399\) | 1.11418 | + | 1.73370i | 0.0557789 | + | 0.0867937i | ||||
\(400\) | 7.31028 | − | 0.456501i | 0.365514 | − | 0.0228250i | ||||
\(401\) | 0.604054i | 0.0301650i | 0.999886 | + | 0.0150825i | \(0.00480109\pi\) | ||||
−0.999886 | + | 0.0150825i | \(0.995199\pi\) | |||||||
\(402\) | 8.18673 | + | 8.18398i | 0.408317 | + | 0.408180i | ||||
\(403\) | 7.91984i | 0.394515i | ||||||||
\(404\) | 0.102990 | + | 0.149774i | 0.00512396 | + | 0.00745153i | ||||
\(405\) | −0.962412 | − | 1.49754i | −0.0478226 | − | 0.0744135i | ||||
\(406\) | −10.6374 | + | 5.05983i | −0.527925 | + | 0.251115i | ||||
\(407\) | 1.13997 | − | 7.92867i | 0.0565062 | − | 0.393010i | ||||
\(408\) | −13.9510 | − | 10.9899i | −0.690679 | − | 0.544080i | ||||
\(409\) | 32.9903 | + | 15.0662i | 1.63127 | + | 0.744974i | 0.999543 | − | 0.0302208i | \(-0.00962106\pi\) |
0.631722 | + | 0.775195i | \(0.282348\pi\) | |||||||
\(410\) | −0.297249 | − | 19.0635i | −0.0146801 | − | 0.941478i | ||||
\(411\) | 20.5114 | + | 9.36722i | 1.01175 | + | 0.462051i | ||||
\(412\) | −4.38814 | + | 2.17182i | −0.216188 | + | 0.106998i | ||||
\(413\) | 6.41055 | + | 0.921698i | 0.315442 | + | 0.0453538i | ||||
\(414\) | −2.06340 | − | 1.28105i | −0.101410 | − | 0.0629603i | ||||
\(415\) | −11.6764 | − | 3.42850i | −0.573172 | − | 0.168299i | ||||
\(416\) | 6.75402 | − | 9.14672i | 0.331143 | − | 0.448455i | ||||
\(417\) | −0.583287 | − | 1.27722i | −0.0285637 | − | 0.0625457i | ||||
\(418\) | −1.41504 | + | 3.23089i | −0.0692119 | + | 0.158028i | ||||
\(419\) | −28.6928 | − | 24.8625i | −1.40174 | − | 1.21461i | −0.945862 | − | 0.324568i | \(-0.894781\pi\) |
−0.455875 | − | 0.890044i | \(-0.650673\pi\) | |||||||
\(420\) | 6.93246 | − | 1.21845i | 0.338269 | − | 0.0594540i | ||||
\(421\) | −2.09921 | − | 4.59663i | −0.102309 | − | 0.224026i | 0.851554 | − | 0.524266i | \(-0.175660\pi\) |
−0.953864 | + | 0.300240i | \(0.902933\pi\) | |||||||
\(422\) | 19.2896 | − | 5.99216i | 0.939004 | − | 0.291694i | ||||
\(423\) | 2.79786 | − | 0.402272i | 0.136037 | − | 0.0195591i | ||||
\(424\) | −6.78995 | − | 35.3869i | −0.329749 | − | 1.71854i | ||||
\(425\) | −9.67248 | + | 6.21612i | −0.469184 | + | 0.301526i | ||||
\(426\) | 8.64389 | − | 5.74747i | 0.418798 | − | 0.278466i | ||||
\(427\) | 1.18457 | − | 4.03429i | 0.0573256 | − | 0.195233i | ||||
\(428\) | −3.02441 | − | 9.22577i | −0.146190 | − | 0.445944i | ||||
\(429\) | 4.76017 | − | 0.684409i | 0.229823 | − | 0.0330436i | ||||
\(430\) | −22.9893 | + | 0.358464i | −1.10864 | + | 0.0172866i | ||||
\(431\) | 13.4931i | 0.649937i | 0.945725 | + | 0.324969i | \(0.105354\pi\) | ||||
−0.945725 | + | 0.324969i | \(0.894646\pi\) | |||||||
\(432\) | 1.88520 | + | 3.52789i | 0.0907018 | + | 0.169736i | ||||
\(433\) | 0.898045 | + | 3.05846i | 0.0431573 | + | 0.146980i | 0.978253 | − | 0.207415i | \(-0.0665050\pi\) |
−0.935096 | + | 0.354395i | \(0.884687\pi\) | |||||||
\(434\) | 8.21242 | − | 7.34337i | 0.394209 | − | 0.352493i | ||||
\(435\) | 6.82209 | − | 3.11554i | 0.327094 | − | 0.149379i | ||||
\(436\) | −7.81935 | − | 0.876414i | −0.374479 | − | 0.0419726i | ||||
\(437\) | −1.50600 | − | 0.967850i | −0.0720419 | − | 0.0462985i | ||||
\(438\) | 0.106942 | + | 6.85852i | 0.00510990 | + | 0.327713i | ||||
\(439\) | − | 9.97295i | − | 0.475983i | −0.971267 | − | 0.237991i | \(-0.923511\pi\) | ||
0.971267 | − | 0.237991i | \(-0.0764890\pi\) | |||||||
\(440\) | 8.30607 | + | 8.72557i | 0.395976 | + | 0.415975i | ||||
\(441\) | 2.96616 | − | 0.870943i | 0.141246 | − | 0.0414735i | ||||
\(442\) | −2.26433 | + | 17.7041i | −0.107703 | + | 0.842096i | ||||
\(443\) | −12.5116 | + | 14.4392i | −0.594446 | + | 0.686027i | −0.970646 | − | 0.240511i | \(-0.922685\pi\) |
0.376200 | + | 0.926538i | \(0.377230\pi\) | |||||||
\(444\) | −4.54040 | − | 4.92112i | −0.215478 | − | 0.233546i | ||||
\(445\) | −9.82582 | − | 8.51412i | −0.465789 | − | 0.403608i | ||||
\(446\) | 30.3930 | − | 9.44132i | 1.43915 | − | 0.447060i | ||||
\(447\) | 1.00606 | + | 0.646557i | 0.0475851 | + | 0.0305811i | ||||
\(448\) | −15.7470 | + | 1.47742i | −0.743977 | + | 0.0698014i | ||||
\(449\) | 29.3428 | − | 18.8575i | 1.38477 | − | 0.889939i | 0.385312 | − | 0.922786i | \(-0.374094\pi\) |
0.999460 | + | 0.0328475i | \(0.0104576\pi\) | |||||||
\(450\) | 2.55719 | − | 0.408458i | 0.120547 | − | 0.0192549i | ||||
\(451\) | −13.6944 | + | 11.8662i | −0.644842 | + | 0.558759i | ||||
\(452\) | −0.981850 | − | 2.99507i | −0.0461823 | − | 0.140876i | ||||
\(453\) | 11.1045 | + | 1.59659i | 0.521736 | + | 0.0750143i | ||||
\(454\) | 2.37812 | + | 14.8884i | 0.111611 | + | 0.698749i | ||||
\(455\) | −4.63236 | − | 5.34603i | −0.217168 | − | 0.250626i | ||||
\(456\) | 1.34885 | + | 2.62173i | 0.0631659 | + | 0.122774i | ||||
\(457\) | 12.2908 | + | 3.60892i | 0.574941 | + | 0.168818i | 0.556261 | − | 0.831008i | \(-0.312235\pi\) |
0.0186800 | + | 0.999826i | \(0.494054\pi\) | |||||||
\(458\) | −2.47723 | + | 5.65613i | −0.115754 | + | 0.264294i | ||||
\(459\) | −5.28224 | − | 3.39469i | −0.246554 | − | 0.158451i | ||||
\(460\) | −5.03810 | + | 3.46439i | −0.234903 | + | 0.161528i | ||||
\(461\) | −20.2169 | + | 5.93621i | −0.941594 | + | 0.276477i | −0.716283 | − | 0.697810i | \(-0.754158\pi\) |
−0.225311 | + | 0.974287i | \(0.572340\pi\) | |||||||
\(462\) | −5.12338 | − | 4.30143i | −0.238361 | − | 0.200120i | ||||
\(463\) | −4.31776 | − | 30.0307i | −0.200664 | − | 1.39565i | −0.802322 | − | 0.596892i | \(-0.796402\pi\) |
0.601658 | − | 0.798754i | \(-0.294507\pi\) | |||||||
\(464\) | −15.8423 | + | 5.74639i | −0.735461 | + | 0.266769i | ||||
\(465\) | −5.30099 | + | 4.59333i | −0.245828 | + | 0.213011i | ||||
\(466\) | 31.7190 | − | 9.85324i | 1.46936 | − | 0.456442i | ||||
\(467\) | −7.02700 | − | 3.20912i | −0.325171 | − | 0.148500i | 0.246140 | − | 0.969234i | \(-0.420838\pi\) |
−0.571311 | + | 0.820734i | \(0.693565\pi\) | |||||||
\(468\) | 2.06685 | − | 3.44790i | 0.0955402 | − | 0.159379i | ||||
\(469\) | −14.3211 | + | 7.53553i | −0.661286 | + | 0.347959i | ||||
\(470\) | 1.89812 | − | 6.85819i | 0.0875537 | − | 0.316345i | ||||
\(471\) | 0.322488 | − | 0.706150i | 0.0148595 | − | 0.0325377i | ||||
\(472\) | 9.00257 | + | 2.19187i | 0.414377 | + | 0.100889i | ||||
\(473\) | 14.3099 | + | 16.5145i | 0.657970 | + | 0.759338i | ||||
\(474\) | 20.0588 | + | 8.78523i | 0.921332 | + | 0.403519i | ||||
\(475\) | 1.88935 | − | 0.271647i | 0.0866893 | − | 0.0124640i | ||||
\(476\) | 20.4576 | − | 14.0674i | 0.937672 | − | 0.644780i | ||||
\(477\) | −3.58910 | − | 12.2233i | −0.164333 | − | 0.559668i | ||||
\(478\) | −11.3367 | − | 9.51795i | −0.518529 | − | 0.435341i | ||||
\(479\) | 8.60832 | − | 13.3948i | 0.393324 | − | 0.612024i | −0.586960 | − | 0.809616i | \(-0.699676\pi\) |
0.980284 | + | 0.197591i | \(0.0633119\pi\) | |||||||
\(480\) | 10.0394 | − | 0.784226i | 0.458232 | − | 0.0357948i | ||||
\(481\) | −1.89581 | + | 6.45653i | −0.0864414 | + | 0.294392i | ||||
\(482\) | 13.9202 | − | 22.4213i | 0.634048 | − | 1.02126i | ||||
\(483\) | 2.56598 | − | 2.22343i | 0.116756 | − | 0.101170i | ||||
\(484\) | −1.17519 | + | 10.4850i | −0.0534175 | + | 0.476590i | ||||
\(485\) | 0.153588 | − | 1.06822i | 0.00697405 | − | 0.0485056i | ||||
\(486\) | 0.783037 | + | 1.17765i | 0.0355193 | + | 0.0534192i | ||||
\(487\) | −24.8287 | − | 28.6539i | −1.12510 | − | 1.29843i | −0.949429 | − | 0.313982i | \(-0.898337\pi\) |
−0.175669 | − | 0.984449i | \(-0.556209\pi\) | |||||||
\(488\) | 2.24028 | − | 5.58258i | 0.101413 | − | 0.252712i | ||||
\(489\) | 5.25678 | + | 8.17971i | 0.237720 | + | 0.369899i | ||||
\(490\) | 0.987332 | − | 7.71963i | 0.0446031 | − | 0.348737i | ||||
\(491\) | 13.3034 | − | 20.7005i | 0.600373 | − | 0.934199i | −0.399474 | − | 0.916744i | \(-0.630807\pi\) |
0.999848 | − | 0.0174549i | \(-0.00555635\pi\) | |||||||
\(492\) | 0.472238 | + | 15.1393i | 0.0212901 | + | 0.682534i | ||||
\(493\) | 17.3237 | − | 19.9926i | 0.780219 | − | 0.900420i | ||||
\(494\) | 1.56289 | − | 2.51736i | 0.0703179 | − | 0.113261i | ||||
\(495\) | 3.21889 | + | 2.78918i | 0.144678 | + | 0.125364i | ||||
\(496\) | 12.7022 | − | 9.33091i | 0.570347 | − | 0.418970i | ||||
\(497\) | 4.08830 | + | 13.9235i | 0.183385 | + | 0.624553i | ||||
\(498\) | 9.31758 | + | 2.57880i | 0.417531 | + | 0.115559i | ||||
\(499\) | 39.1013 | 1.75042 | 0.875208 | − | 0.483748i | \(-0.160725\pi\) | ||||
0.875208 | + | 0.483748i | \(0.160725\pi\) | |||||||
\(500\) | 6.12104 | − | 23.5378i | 0.273741 | − | 1.05264i | ||||
\(501\) | 10.8073 | − | 16.8164i | 0.482833 | − | 0.751303i | ||||
\(502\) | 14.5224 | − | 2.31964i | 0.648165 | − | 0.103531i | ||||
\(503\) | 1.00786 | + | 2.20690i | 0.0449382 | + | 0.0984009i | 0.930770 | − | 0.365606i | \(-0.119138\pi\) |
−0.885831 | + | 0.464007i | \(0.846411\pi\) | |||||||
\(504\) | −5.49169 | + | 1.05373i | −0.244619 | + | 0.0469370i | ||||
\(505\) | 0.155231 | − | 0.0455800i | 0.00690770 | − | 0.00202828i | ||||
\(506\) | 5.60050 | + | 1.55003i | 0.248973 | + | 0.0689073i | ||||
\(507\) | 8.96002 | 0.397929 | ||||||||
\(508\) | −3.68546 | + | 14.1720i | −0.163516 | + | 0.628781i | ||||
\(509\) | −4.76550 | − | 33.1448i | −0.211227 | − | 1.46912i | −0.769067 | − | 0.639168i | \(-0.779279\pi\) |
0.557840 | − | 0.829948i | \(-0.311630\pi\) | |||||||
\(510\) | −13.1631 | + | 8.75238i | −0.582873 | + | 0.387562i | ||||
\(511\) | −9.20071 | − | 2.70157i | −0.407016 | − | 0.119511i | ||||
\(512\) | −22.6273 | − | 0.0560593i | −0.999997 | − | 0.00247750i | ||||
\(513\) | 0.563566 | + | 0.876926i | 0.0248821 | + | 0.0387172i | ||||
\(514\) | −12.5364 | + | 11.2098i | −0.552956 | + | 0.494442i | ||||
\(515\) | 0.620197 | + | 4.31357i | 0.0273292 | + | 0.190078i | ||||
\(516\) | 18.2570 | − | 0.569489i | 0.803722 | − | 0.0250703i | ||||
\(517\) | −6.15192 | + | 2.80949i | −0.270561 | + | 0.123561i | ||||
\(518\) | 8.45286 | − | 4.02072i | 0.371397 | − | 0.176660i | ||||
\(519\) | −13.8842 | + | 16.0232i | −0.609447 | + | 0.703339i | ||||
\(520\) | −5.86345 | − | 8.24847i | −0.257129 | − | 0.361719i | ||||
\(521\) | −13.1149 | + | 5.98938i | −0.574575 | + | 0.262400i | −0.681440 | − | 0.731874i | \(-0.738646\pi\) |
0.106865 | + | 0.994274i | \(0.465919\pi\) | |||||||
\(522\) | −5.38051 | + | 2.55932i | −0.235499 | + | 0.112018i | ||||
\(523\) | 8.46355 | − | 28.8242i | 0.370085 | − | 1.26039i | −0.538476 | − | 0.842641i | \(-0.681000\pi\) |
0.908561 | − | 0.417753i | \(-0.137182\pi\) | |||||||
\(524\) | −15.7168 | + | 14.5009i | −0.686591 | + | 0.633474i | ||||
\(525\) | −0.515206 | + | 3.58334i | −0.0224854 | + | 0.156390i | ||||
\(526\) | 0.260687 | + | 0.291538i | 0.0113665 | + | 0.0127117i | ||||
\(527\) | −10.2778 | + | 22.5053i | −0.447709 | + | 0.980345i | ||||
\(528\) | −6.70597 | − | 6.82825i | −0.291840 | − | 0.297161i | ||||
\(529\) | 8.32934 | − | 18.2387i | 0.362145 | − | 0.792988i | ||||
\(530\) | −31.8121 | − | 4.06873i | −1.38183 | − | 0.176734i | ||||
\(531\) | 3.24253 | + | 0.466205i | 0.140714 | + | 0.0202316i | ||||
\(532\) | −4.05949 | + | 0.713493i | −0.176001 | + | 0.0309339i | ||||
\(533\) | 12.8057 | − | 8.22974i | 0.554678 | − | 0.356470i | ||||
\(534\) | 7.91056 | + | 6.64146i | 0.342324 | + | 0.287404i | ||||
\(535\) | −8.64152 | −0.373606 | ||||||||
\(536\) | −21.4277 | + | 8.76665i | −0.925535 | + | 0.378662i | ||||
\(537\) | 21.1273 | 0.911709 | ||||||||
\(538\) | −19.3751 | − | 16.2667i | −0.835319 | − | 0.701308i | ||||
\(539\) | −6.22236 | + | 3.99887i | −0.268016 | + | 0.172243i | ||||
\(540\) | 3.50652 | − | 0.616303i | 0.150896 | − | 0.0265215i | ||||
\(541\) | −38.8631 | − | 5.58767i | −1.67085 | − | 0.240233i | −0.759101 | − | 0.650972i | \(-0.774361\pi\) |
−0.911753 | + | 0.410740i | \(0.865270\pi\) | |||||||
\(542\) | 10.4538 | + | 1.33703i | 0.449028 | + | 0.0574302i | ||||
\(543\) | −2.55589 | + | 5.59662i | −0.109684 | + | 0.240174i | ||||
\(544\) | 31.0624 | − | 17.2267i | 1.33179 | − | 0.738589i | ||||
\(545\) | −2.90928 | + | 6.37044i | −0.124620 | + | 0.272880i | ||||
\(546\) | 3.74592 | + | 4.18922i | 0.160310 | + | 0.179282i | ||||
\(547\) | −4.89063 | + | 34.0151i | −0.209108 | + | 1.45438i | 0.566967 | + | 0.823741i | \(0.308117\pi\) |
−0.776075 | + | 0.630640i | \(0.782792\pi\) | |||||||
\(548\) | −33.1456 | + | 30.5813i | −1.41591 | + | 1.30637i | ||||
\(549\) | 0.599171 | − | 2.04059i | 0.0255720 | − | 0.0870902i | ||||
\(550\) | −5.59525 | + | 2.66146i | −0.238582 | + | 0.113485i | ||||
\(551\) | −3.99486 | + | 1.82439i | −0.170187 | + | 0.0777216i | ||||
\(552\) | 3.95909 | − | 2.81433i | 0.168510 | − | 0.119786i | ||||
\(553\) | −20.0473 | + | 23.1358i | −0.852499 | + | 0.983836i | ||||
\(554\) | 0.344224 | − | 0.163735i | 0.0146247 | − | 0.00695644i | ||||
\(555\) | −5.42108 | + | 2.47572i | −0.230112 | + | 0.105089i | ||||
\(556\) | 2.80685 | − | 0.0875535i | 0.119037 | − | 0.00371309i | ||||
\(557\) | −0.314445 | − | 2.18701i | −0.0133234 | − | 0.0926666i | 0.982075 | − | 0.188492i | \(-0.0603600\pi\) |
−0.995398 | + | 0.0958255i | \(0.969451\pi\) | |||||||
\(558\) | 4.15393 | − | 3.71436i | 0.175850 | − | 0.157241i | ||||
\(559\) | −9.92453 | − | 15.4429i | −0.419763 | − | 0.653164i | ||||
\(560\) | −3.11653 | + | 13.7281i | −0.131697 | + | 0.580120i | ||||
\(561\) | 14.4148 | + | 4.23257i | 0.608594 | + | 0.178699i | ||||
\(562\) | 29.0123 | − | 19.2907i | 1.22381 | − | 0.813731i | ||||
\(563\) | 1.87330 | + | 13.0291i | 0.0789502 | + | 0.549111i | 0.990457 | + | 0.137825i | \(0.0440112\pi\) |
−0.911506 | + | 0.411286i | \(0.865080\pi\) | |||||||
\(564\) | −1.42282 | + | 5.47129i | −0.0599115 | + | 0.230383i | ||||
\(565\) | −2.80540 | −0.118024 | ||||||||
\(566\) | −11.6898 | − | 3.23534i | −0.491358 | − | 0.135992i | ||||
\(567\) | −1.89694 | + | 0.556992i | −0.0796640 | + | 0.0233915i | ||||
\(568\) | 3.91212 | + | 20.3886i | 0.164149 | + | 0.855488i | ||||
\(569\) | −0.387278 | − | 0.848020i | −0.0162355 | − | 0.0355508i | 0.901341 | − | 0.433111i | \(-0.142584\pi\) |
−0.917576 | + | 0.397560i | \(0.869857\pi\) | |||||||
\(570\) | 2.59139 | − | 0.413920i | 0.108541 | − | 0.0173372i | ||||
\(571\) | 3.03155 | − | 4.71718i | 0.126866 | − | 0.197408i | −0.772010 | − | 0.635611i | \(-0.780748\pi\) |
0.898876 | + | 0.438203i | \(0.144385\pi\) | |||||||
\(572\) | −2.42073 | + | 9.30863i | −0.101216 | + | 0.389213i | ||||
\(573\) | −9.72130 | −0.406113 | ||||||||
\(574\) | −20.4074 | − | 5.64808i | −0.851788 | − | 0.235746i | ||||
\(575\) | −0.885971 | − | 3.01734i | −0.0369475 | − | 0.125832i | ||||
\(576\) | −7.96502 | + | 0.747294i | −0.331876 | + | 0.0311372i | ||||
\(577\) | 32.1883 | + | 27.8913i | 1.34002 | + | 1.16113i | 0.972971 | + | 0.230926i | \(0.0741757\pi\) |
0.367044 | + | 0.930204i | \(0.380370\pi\) | |||||||
\(578\) | −16.7285 | + | 26.9446i | −0.695813 | + | 1.12075i | ||||
\(579\) | −12.7350 | + | 14.6970i | −0.529250 | + | 0.610787i | ||||
\(580\) | 0.467654 | + | 14.9924i | 0.0194183 | + | 0.622524i | ||||
\(581\) | −7.30695 | + | 11.3698i | −0.303143 | + | 0.471700i | ||||
\(582\) | −0.108771 | + | 0.850443i | −0.00450869 | + | 0.0352520i | ||||
\(583\) | 16.4791 | + | 25.6419i | 0.682493 | + | 1.06198i | ||||
\(584\) | −12.7318 | − | 5.10924i | −0.526845 | − | 0.211422i | ||||
\(585\) | −2.34310 | − | 2.70408i | −0.0968752 | − | 0.111800i | ||||
\(586\) | 20.5698 | + | 30.9359i | 0.849731 | + | 1.27795i | ||||
\(587\) | 2.71089 | − | 18.8546i | 0.111890 | − | 0.778215i | −0.854188 | − | 0.519965i | \(-0.825945\pi\) |
0.966078 | − | 0.258250i | \(-0.0831458\pi\) | |||||||
\(588\) | −0.688669 | + | 6.14429i | −0.0284002 | + | 0.253386i | ||||
\(589\) | 3.10414 | − | 2.68975i | 0.127904 | − | 0.110829i | ||||
\(590\) | 4.34994 | − | 7.00645i | 0.179084 | − | 0.288451i | ||||
\(591\) | 0.928612 | − | 3.16256i | 0.0381980 | − | 0.130090i | ||||
\(592\) | 12.5889 | − | 4.56629i | 0.517400 | − | 0.187673i | ||||
\(593\) | −24.2781 | + | 37.7775i | −0.996982 | + | 1.55133i | −0.172841 | + | 0.984950i | \(0.555295\pi\) |
−0.824141 | + | 0.566385i | \(0.808342\pi\) | |||||||
\(594\) | −2.59146 | − | 2.17571i | −0.106329 | − | 0.0892704i | ||||
\(595\) | −6.22576 | − | 21.2030i | −0.255231 | − | 0.869238i | ||||
\(596\) | −1.97083 | + | 1.35522i | −0.0807284 | + | 0.0555119i | ||||
\(597\) | −19.2659 | + | 2.77001i | −0.788499 | + | 0.113369i | ||||
\(598\) | −4.47159 | − | 1.95844i | −0.182857 | − | 0.0800865i | ||||
\(599\) | 26.1767 | + | 30.2095i | 1.06955 | + | 1.23433i | 0.970970 | + | 0.239199i | \(0.0768850\pi\) |
0.0985813 | + | 0.995129i | \(0.468570\pi\) | |||||||
\(600\) | −1.22520 | + | 5.03221i | −0.0500187 | + | 0.205439i | ||||
\(601\) | 7.81675 | − | 17.1163i | 0.318852 | − | 0.698188i | −0.680552 | − | 0.732699i | \(-0.738260\pi\) |
0.999404 | + | 0.0345110i | \(0.0109874\pi\) | |||||||
\(602\) | −6.81122 | + | 24.6100i | −0.277605 | + | 1.00303i | ||||
\(603\) | −7.24376 | + | 3.81156i | −0.294989 | + | 0.155219i | ||||
\(604\) | −11.5362 | + | 19.2446i | −0.469401 | + | 0.783051i | ||||
\(605\) | 8.54213 | + | 3.90106i | 0.347287 | + | 0.158601i | ||||
\(606\) | −0.122743 | + | 0.0381290i | −0.00498608 | + | 0.00154888i | ||||
\(607\) | −12.8197 | + | 11.1083i | −0.520334 | + | 0.450872i | −0.875001 | − | 0.484121i | \(-0.839140\pi\) |
0.354667 | + | 0.934993i | \(0.384594\pi\) | |||||||
\(608\) | −5.87882 | + | 0.459224i | −0.238418 | + | 0.0186240i | ||||
\(609\) | −1.18539 | − | 8.24457i | −0.0480344 | − | 0.334087i | ||||
\(610\) | −4.10048 | − | 3.44263i | −0.166024 | − | 0.139388i | ||||
\(611\) | 5.45131 | − | 1.60065i | 0.220536 | − | 0.0647553i | ||||
\(612\) | 10.3477 | − | 7.11546i | 0.418280 | − | 0.287625i | ||||
\(613\) | 8.53341 | + | 5.48409i | 0.344661 | + | 0.221500i | 0.701506 | − | 0.712663i | \(-0.252511\pi\) |
−0.356845 | + | 0.934164i | \(0.616148\pi\) | |||||||
\(614\) | 9.58858 | − | 21.8931i | 0.386964 | − | 0.883533i | ||||
\(615\) | 12.9355 | + | 3.79819i | 0.521608 | + | 0.153158i | ||||
\(616\) | 11.8970 | − | 6.12092i | 0.479345 | − | 0.246619i | ||||
\(617\) | 7.10858 | + | 8.20374i | 0.286181 | + | 0.330270i | 0.880578 | − | 0.473901i | \(-0.157155\pi\) |
−0.594397 | + | 0.804172i | \(0.702609\pi\) | |||||||
\(618\) | −0.546079 | − | 3.41879i | −0.0219665 | − | 0.137524i | ||||
\(619\) | −14.4957 | − | 2.08417i | −0.582632 | − | 0.0837698i | −0.155304 | − | 0.987867i | \(-0.549636\pi\) |
−0.427327 | + | 0.904097i | \(0.640545\pi\) | |||||||
\(620\) | −4.37000 | − | 13.3304i | −0.175503 | − | 0.535362i | ||||
\(621\) | 1.29790 | − | 1.12464i | 0.0520829 | − | 0.0451301i | ||||
\(622\) | −15.7281 | + | 2.51223i | −0.630638 | + | 0.100731i | ||||
\(623\) | −12.1472 | + | 7.80655i | −0.486669 | + | 0.312763i | ||||
\(624\) | 4.75978 | + | 6.47952i | 0.190544 | + | 0.259388i | ||||
\(625\) | −10.5084 | − | 6.75331i | −0.420334 | − | 0.270133i | ||||
\(626\) | 28.2301 | − | 8.76943i | 1.12830 | − | 0.350497i | ||||
\(627\) | −1.88491 | − | 1.63328i | −0.0752759 | − | 0.0652270i | ||||
\(628\) | 1.05283 | + | 1.14111i | 0.0420125 | + | 0.0455353i | ||||
\(629\) | −13.7660 | + | 15.8868i | −0.548887 | + | 0.633449i | ||||
\(630\) | −0.631426 | + | 4.93691i | −0.0251566 | + | 0.196691i | ||||
\(631\) | 5.48767 | − | 1.61133i | 0.218461 | − | 0.0641458i | −0.170671 | − | 0.985328i | \(-0.554593\pi\) |
0.389131 | + | 0.921182i | \(0.372775\pi\) | |||||||
\(632\) | −31.7221 | + | 30.1970i | −1.26184 | + | 1.20117i | ||||
\(633\) | 14.2828i | 0.567690i | ||||||||
\(634\) | 0.116559 | + | 7.47524i | 0.00462913 | + | 0.296880i | ||||
\(635\) | 10.9645 | + | 7.04648i | 0.435114 | + | 0.279631i | ||||
\(636\) | 25.3202 | + | 2.83796i | 1.00401 | + | 0.112532i | ||||
\(637\) | 5.65207 | − | 2.58121i | 0.223943 | − | 0.102271i | ||||
\(638\) | 10.6269 | − | 9.50237i | 0.420724 | − | 0.376202i | ||||
\(639\) | 2.06791 | + | 7.04264i | 0.0818051 | + | 0.278603i | ||||
\(640\) | −6.32118 | + | 19.1222i | −0.249867 | + | 0.755871i | ||||
\(641\) | 1.30046i | 0.0513649i | 0.999670 | + | 0.0256825i | \(0.00817588\pi\) | ||||
−0.999670 | + | 0.0256825i | \(0.991824\pi\) | |||||||
\(642\) | 6.86436 | − | 0.107033i | 0.270915 | − | 0.00422427i | ||||
\(643\) | 18.4340 | − | 2.65041i | 0.726967 | − | 0.104522i | 0.231112 | − | 0.972927i | \(-0.425764\pi\) |
0.495855 | + | 0.868405i | \(0.334855\pi\) | |||||||
\(644\) | 2.11533 | + | 6.45267i | 0.0833555 | + | 0.254271i | ||||
\(645\) | 4.58037 | − | 15.5993i | 0.180352 | − | 0.614223i | ||||
\(646\) | 7.70802 | − | 5.12519i | 0.303268 | − | 0.201648i | ||||
\(647\) | 24.3924 | − | 15.6760i | 0.958964 | − | 0.616289i | 0.0352531 | − | 0.999378i | \(-0.488776\pi\) |
0.923711 | + | 0.383089i | \(0.125140\pi\) | |||||||
\(648\) | −2.77775 | + | 0.532990i | −0.109121 | + | 0.0209378i | ||||
\(649\) | −7.75817 | + | 1.11546i | −0.304535 | + | 0.0437855i | ||||
\(650\) | 4.97073 | − | 1.54411i | 0.194968 | − | 0.0605651i | ||||
\(651\) | 3.23609 | + | 7.08605i | 0.126832 | + | 0.277724i | ||||
\(652\) | −19.1529 | + | 3.36630i | −0.750085 | + | 0.131834i | ||||
\(653\) | 11.8465 | + | 10.2650i | 0.463588 | + | 0.401701i | 0.855093 | − | 0.518475i | \(-0.173500\pi\) |
−0.391505 | + | 0.920176i | \(0.628045\pi\) | |||||||
\(654\) | 2.23207 | − | 5.09637i | 0.0872810 | − | 0.199284i | ||||
\(655\) | 7.90682 | + | 17.3135i | 0.308945 | + | 0.676495i | ||||
\(656\) | −28.2866 | − | 10.8424i | −1.10441 | − | 0.423326i | ||||
\(657\) | −4.65382 | − | 1.36649i | −0.181563 | − | 0.0533117i | ||||
\(658\) | −6.71429 | − | 4.16855i | −0.261750 | − | 0.162507i | ||||
\(659\) | 1.00999 | + | 0.145215i | 0.0393437 | + | 0.00565677i | 0.161959 | − | 0.986798i | \(-0.448219\pi\) |
−0.122615 | + | 0.992454i | \(0.539128\pi\) | |||||||
\(660\) | −7.63452 | + | 3.77853i | −0.297173 | + | 0.147079i | ||||
\(661\) | 5.96122 | + | 2.72240i | 0.231865 | + | 0.105889i | 0.527960 | − | 0.849269i | \(-0.322957\pi\) |
−0.296095 | + | 0.955159i | \(0.595684\pi\) | |||||||
\(662\) | −0.462748 | − | 29.6774i | −0.0179852 | − | 1.15345i | ||||
\(663\) | −11.4801 | − | 5.24280i | −0.445851 | − | 0.203613i | ||||
\(664\) | −11.9651 | + | 15.1890i | −0.464336 | + | 0.589449i | ||||
\(665\) | −0.522096 | + | 3.63126i | −0.0202460 | + | 0.140814i | ||||
\(666\) | 4.27555 | − | 2.03373i | 0.165674 | − | 0.0788053i | ||||
\(667\) | 3.91175 | + | 6.08680i | 0.151464 | + | 0.235682i | ||||
\(668\) | 22.6526 | + | 32.9427i | 0.876457 | + | 1.27459i | ||||
\(669\) | 22.5041i | 0.870061i | ||||||||
\(670\) | 1.47350 | + | 20.5538i | 0.0569263 | + | 0.794061i | ||||
\(671\) | 5.08850i | 0.196439i | ||||||||
\(672\) | 2.30557 | − | 10.9435i | 0.0889392 | − | 0.422155i | ||||
\(673\) | −8.50714 | − | 13.2374i | −0.327926 | − | 0.510263i | 0.637670 | − | 0.770310i | \(-0.279898\pi\) |
−0.965596 | + | 0.260047i | \(0.916262\pi\) | |||||||
\(674\) | 7.07508 | + | 14.8741i | 0.272522 | + | 0.572929i | ||||
\(675\) | −0.260597 | + | 1.81249i | −0.0100304 | + | 0.0697628i | ||||
\(676\) | −6.93242 | + | 16.5248i | −0.266632 | + | 0.635570i | ||||
\(677\) | 18.3504 | + | 8.38035i | 0.705264 | + | 0.322083i | 0.735562 | − | 0.677458i | \(-0.236918\pi\) |
−0.0302979 | + | 0.999541i | \(0.509646\pi\) | |||||||
\(678\) | 2.22846 | − | 0.0347475i | 0.0855835 | − | 0.00133447i | ||||
\(679\) | −1.09026 | − | 0.497906i | −0.0418404 | − | 0.0191079i | ||||
\(680\) | −5.95748 | − | 31.0483i | −0.228459 | − | 1.19065i | ||||
\(681\) | −10.5527 | − | 1.51724i | −0.404379 | − | 0.0581409i | ||||
\(682\) | −7.03245 | + | 11.3272i | −0.269287 | + | 0.433741i | ||||
\(683\) | −32.6547 | − | 9.58829i | −1.24950 | − | 0.366886i | −0.410922 | − | 0.911670i | \(-0.634793\pi\) |
−0.838576 | + | 0.544785i | \(0.816611\pi\) | |||||||
\(684\) | −2.05333 | + | 0.360893i | −0.0785112 | + | 0.0137991i | ||||
\(685\) | 16.6749 | + | 36.5129i | 0.637115 | + | 1.39509i | ||||
\(686\) | −25.8447 | − | 11.3193i | −0.986756 | − | 0.432173i | ||||
\(687\) | −3.29980 | − | 2.85929i | −0.125895 | − | 0.109089i | ||||
\(688\) | −13.0753 | + | 34.1118i | −0.498490 | + | 1.30050i | ||||
\(689\) | −10.6370 | − | 23.2918i | −0.405238 | − | 0.887347i | ||||
\(690\) | −1.28258 | − | 4.12882i | −0.0488271 | − | 0.157182i | ||||
\(691\) | 38.9706 | − | 5.60313i | 1.48251 | − | 0.213153i | 0.646943 | − | 0.762539i | \(-0.276047\pi\) |
0.835569 | + | 0.549386i | \(0.185138\pi\) | |||||||
\(692\) | −18.8090 | − | 38.0035i | −0.715011 | − | 1.44468i | ||||
\(693\) | 3.97937 | − | 2.55739i | 0.151164 | − | 0.0971471i | ||||
\(694\) | −3.66833 | − | 5.51697i | −0.139248 | − | 0.209421i | ||||
\(695\) | 0.704189 | − | 2.39825i | 0.0267114 | − | 0.0909707i | ||||
\(696\) | −0.557174 | − | 11.9033i | −0.0211196 | − | 0.451195i | ||||
\(697\) | 47.0691 | − | 6.76752i | 1.78287 | − | 0.256338i | ||||
\(698\) | 0.357682 | + | 22.9392i | 0.0135385 | + | 0.868262i | ||||
\(699\) | 23.4860i | 0.888321i | ||||||||
\(700\) | −6.21007 | − | 3.72263i | −0.234719 | − | 0.140702i | ||||
\(701\) | −7.08963 | − | 24.1451i | −0.267772 | − | 0.911946i | −0.978110 | − | 0.208087i | \(-0.933276\pi\) |
0.710339 | − | 0.703860i | \(-0.248542\pi\) | |||||||
\(702\) | 1.89473 | + | 2.11896i | 0.0715118 | + | 0.0799748i | ||||
\(703\) | 3.17446 | − | 1.44973i | 0.119727 | − | 0.0546774i | ||||
\(704\) | 17.7817 | − | 7.08465i | 0.670172 | − | 0.267013i | ||||
\(705\) | 4.23300 | + | 2.72038i | 0.159424 | + | 0.102456i | ||||
\(706\) | −6.30508 | + | 0.0983127i | −0.237295 | + | 0.00370005i | ||||
\(707\) | − | 0.179679i | − | 0.00675751i | ||||||
\(708\) | −3.36857 | + | 5.61943i | −0.126599 | + | 0.211191i | ||||
\(709\) | −21.9021 | + | 6.43104i | −0.822552 | + | 0.241523i | −0.665814 | − | 0.746117i | \(-0.731916\pi\) |
−0.156737 | + | 0.987640i | \(0.550098\pi\) | |||||||
\(710\) | 18.3290 | + | 2.34425i | 0.687874 | + | 0.0879783i | ||||
\(711\) | −10.1402 | + | 11.7024i | −0.380286 | + | 0.438873i | ||||
\(712\) | −18.3692 | + | 9.45078i | −0.688414 | + | 0.354183i | ||||
\(713\) | −5.11409 | − | 4.43138i | −0.191524 | − | 0.165956i | ||||
\(714\) | 5.20803 | + | 16.7654i | 0.194906 | + | 0.627430i | ||||
\(715\) | 7.20186 | + | 4.62835i | 0.269334 | + | 0.173091i | ||||
\(716\) | −16.3463 | + | 38.9647i | −0.610889 | + | 1.45618i | ||||
\(717\) | 8.80533 | − | 5.65884i | 0.328841 | − | 0.211333i | ||||
\(718\) | −3.56838 | − | 22.3402i | −0.133171 | − | 0.833729i | ||||
\(719\) | 11.7246 | − | 10.1594i | 0.437252 | − | 0.378881i | −0.408235 | − | 0.912877i | \(-0.633856\pi\) |
0.845487 | + | 0.533996i | \(0.179310\pi\) | |||||||
\(720\) | −1.57637 | + | 6.94384i | −0.0587480 | + | 0.258782i | ||||
\(721\) | 4.79067 | + | 0.688794i | 0.178414 | + | 0.0256520i | ||||
\(722\) | 25.0163 | − | 3.99582i | 0.931008 | − | 0.148709i | ||||
\(723\) | 12.2205 | + | 14.1033i | 0.454487 | + | 0.524506i | ||||
\(724\) | −8.34424 | − | 9.04392i | −0.310111 | − | 0.336115i | ||||
\(725\) | −7.40219 | − | 2.17348i | −0.274910 | − | 0.0807210i | ||||
\(726\) | −6.83373 | − | 2.99299i | −0.253623 | − | 0.111080i | ||||
\(727\) | −22.8280 | − | 14.6706i | −0.846643 | − | 0.544104i | 0.0438834 | − | 0.999037i | \(-0.486027\pi\) |
−0.890526 | + | 0.454933i | \(0.849663\pi\) | |||||||
\(728\) | −10.6244 | + | 3.66730i | −0.393765 | + | 0.135919i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −7.85136 | + | 9.35166i | −0.290592 | + | 0.346121i | ||||
\(731\) | −8.16119 | − | 56.7623i | −0.301852 | − | 2.09943i | ||||
\(732\) | 3.29984 | + | 2.68386i | 0.121966 | + | 0.0991982i | ||||
\(733\) | −24.4278 | + | 21.1668i | −0.902261 | + | 0.781814i | −0.976520 | − | 0.215425i | \(-0.930886\pi\) |
0.0742590 | + | 0.997239i | \(0.476341\pi\) | |||||||
\(734\) | 10.5232 | + | 33.8758i | 0.388419 | + | 1.25038i | ||||
\(735\) | 5.00576 | + | 2.28606i | 0.184640 | + | 0.0843224i | ||||
\(736\) | 2.12725 | + | 9.47914i | 0.0784114 | + | 0.349406i | ||||
\(737\) | 14.0603 | − | 13.6331i | 0.517918 | − | 0.502183i | ||||
\(738\) | −10.3223 | − | 2.85686i | −0.379968 | − | 0.105163i | ||||
\(739\) | 12.3234 | − | 26.9844i | 0.453323 | − | 0.992639i | −0.535636 | − | 0.844449i | \(-0.679928\pi\) |
0.988959 | − | 0.148190i | \(-0.0473446\pi\) | |||||||
\(740\) | −0.371615 | − | 11.9135i | −0.0136608 | − | 0.437948i | ||||
\(741\) | 1.37206 | + | 1.58345i | 0.0504041 | + | 0.0581694i | ||||
\(742\) | −14.2895 | + | 32.6264i | −0.524584 | + | 1.19775i | ||||
\(743\) | 21.7103 | − | 3.12146i | 0.796472 | − | 0.114515i | 0.267948 | − | 0.963433i | \(-0.413655\pi\) |
0.528524 | + | 0.848918i | \(0.322746\pi\) | |||||||
\(744\) | 3.63641 | + | 10.5348i | 0.133317 | + | 0.386226i | ||||
\(745\) | 0.599774 | + | 2.04264i | 0.0219740 | + | 0.0748366i | ||||
\(746\) | −0.0189635 | + | 0.0225872i | −0.000694304 | + | 0.000826977i | ||||
\(747\) | −3.69593 | + | 5.75099i | −0.135227 | + | 0.210418i | ||||
\(748\) | −18.9589 | + | 23.3102i | −0.693206 | + | 0.852307i | ||||
\(749\) | −2.70388 | + | 9.20856i | −0.0987975 | + | 0.336473i | ||||
\(750\) | 14.6105 | + | 9.07087i | 0.533499 | + | 0.331221i | ||||
\(751\) | −18.4728 | + | 16.0068i | −0.674084 | + | 0.584097i | −0.923174 | − | 0.384383i | \(-0.874414\pi\) |
0.249090 | + | 0.968480i | \(0.419869\pi\) | |||||||
\(752\) | −8.98976 | − | 6.85725i | −0.327823 | − | 0.250058i | ||||
\(753\) | −1.47994 | + | 10.2932i | −0.0539319 | + | 0.375105i | ||||
\(754\) | −9.97250 | + | 6.63088i | −0.363177 | + | 0.241482i | ||||
\(755\) | 13.0781 | + | 15.0929i | 0.475960 | + | 0.549288i | ||||
\(756\) | 0.440423 | − | 3.92944i | 0.0160180 | − | 0.142912i | ||||
\(757\) | −13.0840 | − | 20.3591i | −0.475546 | − | 0.739964i | 0.517754 | − | 0.855530i | \(-0.326768\pi\) |
−0.993300 | + | 0.115566i | \(0.963132\pi\) | |||||||
\(758\) | 20.4898 | + | 2.62063i | 0.744224 | + | 0.0951855i | ||||
\(759\) | −2.22151 | + | 3.45673i | −0.0806356 | + | 0.125471i | ||||
\(760\) | −1.24159 | + | 5.09951i | −0.0450371 | + | 0.184979i | ||||
\(761\) | −8.40335 | + | 9.69798i | −0.304621 | + | 0.351552i | −0.887335 | − | 0.461126i | \(-0.847446\pi\) |
0.582713 | + | 0.812678i | \(0.301991\pi\) | |||||||
\(762\) | −8.79692 | − | 5.46154i | −0.318679 | − | 0.197851i | ||||
\(763\) | 5.87816 | + | 5.09345i | 0.212804 | + | 0.184395i | ||||
\(764\) | 7.52143 | − | 17.9288i | 0.272116 | − | 0.648642i | ||||
\(765\) | −3.14906 | − | 10.7247i | −0.113854 | − | 0.387753i | ||||
\(766\) | 10.0732 | − | 36.3961i | 0.363961 | − | 1.31505i | ||||
\(767\) | 6.58440 | 0.237749 | ||||||||
\(768\) | 4.78436 | − | 15.2679i | 0.172641 | − | 0.550934i | ||||
\(769\) | 14.3924 | − | 22.3951i | 0.519005 | − | 0.807587i | −0.478507 | − | 0.878083i | \(-0.658822\pi\) |
0.997512 | + | 0.0704966i | \(0.0224584\pi\) | |||||||
\(770\) | −1.87831 | − | 11.7594i | −0.0676897 | − | 0.423778i | ||||
\(771\) | −4.93995 | − | 10.8170i | −0.177908 | − | 0.389564i | ||||
\(772\) | −17.2523 | − | 34.8582i | −0.620924 | − | 1.25457i | ||||
\(773\) | −22.6553 | + | 6.65220i | −0.814855 | + | 0.239263i | −0.662499 | − | 0.749063i | \(-0.730504\pi\) |
−0.152356 | + | 0.988326i | \(0.548686\pi\) | |||||||
\(774\) | −3.44519 | + | 12.4480i | −0.123835 | + | 0.447434i | ||||
\(775\) | 7.21516 | 0.259176 | ||||||||
\(776\) | −1.48430 | − | 0.858597i | −0.0532833 | − | 0.0308218i | ||||
\(777\) | 0.941954 | + | 6.55143i | 0.0337924 | + | 0.235031i | ||||
\(778\) | 29.5813 | + | 44.4887i | 1.06054 | + | 1.59500i | ||||
\(779\) | −7.57470 | − | 2.22413i | −0.271392 | − | 0.0796879i | ||||
\(780\) | 6.79996 | − | 2.22918i | 0.243478 | − | 0.0798173i | ||||
\(781\) | −9.49464 | − | 14.7740i | −0.339745 | − | 0.528654i | ||||
\(782\) | −10.1651 | − | 11.3681i | −0.363503 | − | 0.406522i | ||||
\(783\) | −0.599583 | − | 4.17019i | −0.0214274 | − | 0.149031i | ||||
\(784\) | −10.7990 | − | 6.02397i | −0.385678 | − | 0.215142i | ||||
\(785\) | 1.25704 | − | 0.574071i | 0.0448657 | − | 0.0204895i | ||||
\(786\) | −6.49520 | − | 13.6550i | −0.231676 | − | 0.487058i | ||||
\(787\) | −0.968425 | + | 1.11762i | −0.0345206 | + | 0.0398389i | −0.772747 | − | 0.634714i | \(-0.781118\pi\) |
0.738227 | + | 0.674553i | \(0.235663\pi\) | |||||||
\(788\) | 5.11419 | + | 4.15952i | 0.182185 | + | 0.148177i | ||||
\(789\) | −0.251553 | + | 0.114880i | −0.00895551 | + | 0.00408985i | ||||
\(790\) | 16.7445 | + | 35.2024i | 0.595744 | + | 1.25245i | ||||
\(791\) | −0.877792 | + | 2.98948i | −0.0312107 | + | 0.106294i | ||||
\(792\) | 6.01765 | − | 3.09603i | 0.213828 | − | 0.110013i | ||||
\(793\) | 0.608350 | − | 4.23117i | 0.0216031 | − | 0.150253i | ||||
\(794\) | −11.0252 | + | 9.85848i | −0.391269 | + | 0.349865i | ||||
\(795\) | 9.42068 | − | 20.6284i | 0.334117 | − | 0.731615i | ||||
\(796\) | 9.79742 | − | 37.6749i | 0.347260 | − | 1.33535i | ||||
\(797\) | 13.6814 | − | 29.9581i | 0.484621 | − | 1.06117i | −0.496546 | − | 0.868010i | \(-0.665399\pi\) |
0.981167 | − | 0.193161i | \(-0.0618740\pi\) | |||||||
\(798\) | 0.369748 | − | 2.89094i | 0.0130890 | − | 0.102338i | ||||
\(799\) | 17.5678 | + | 2.52587i | 0.621505 | + | 0.0893589i | ||||
\(800\) | −8.33288 | − | 6.15307i | −0.294612 | − | 0.217544i | ||||
\(801\) | −6.14420 | + | 3.94864i | −0.217095 | + | 0.139518i | ||||
\(802\) | 0.549289 | − | 0.654251i | 0.0193961 | − | 0.0231024i | ||||
\(803\) | 11.6050 | 0.409530 | ||||||||
\(804\) | −1.42505 | − | 16.3086i | −0.0502576 | − | 0.575159i | ||||
\(805\) | 6.04404 | 0.213024 | ||||||||
\(806\) | 7.20181 | − | 8.57798i | 0.253673 | − | 0.302146i | ||||
\(807\) | 15.0488 | − | 9.67127i | 0.529743 | − | 0.340445i | ||||
\(808\) | 0.0246462 | − | 0.255873i | 0.000867049 | − | 0.00900158i | ||||
\(809\) | 27.5118 | + | 3.95560i | 0.967264 | + | 0.139072i | 0.607803 | − | 0.794088i | \(-0.292051\pi\) |
0.359462 | + | 0.933160i | \(0.382960\pi\) | |||||||
\(810\) | −0.319382 | + | 2.49715i | −0.0112219 | + | 0.0877407i | ||||
\(811\) | 0.162705 | − | 0.356275i | 0.00571335 | − | 0.0125105i | −0.906754 | − | 0.421660i | \(-0.861447\pi\) |
0.912467 | + | 0.409150i | \(0.134175\pi\) | |||||||
\(812\) | 16.1225 | + | 4.19267i | 0.565787 | + | 0.147134i | ||||
\(813\) | −3.09573 | + | 6.77871i | −0.108572 | + | 0.237740i | ||||
\(814\) | −8.44454 | + | 7.55093i | −0.295981 | + | 0.264660i | ||||
\(815\) | −2.46328 | + | 17.1325i | −0.0862848 | + | 0.600124i | ||||
\(816\) | 5.11687 | + | 24.5893i | 0.179126 | + | 0.860798i | ||||
\(817\) | −2.68216 | + | 9.13460i | −0.0938369 | + | 0.319579i | ||||
\(818\) | −22.0316 | − | 46.3175i | −0.770316 | − | 1.61945i | ||||
\(819\) | −3.61466 | + | 1.65076i | −0.126306 | + | 0.0576822i | ||||
\(820\) | −17.0132 | + | 20.9180i | −0.594126 | + | 0.730487i | ||||
\(821\) | 10.3502 | − | 11.9448i | 0.361226 | − | 0.416877i | −0.545824 | − | 0.837900i | \(-0.683783\pi\) |
0.907050 | + | 0.421023i | \(0.138329\pi\) | |||||||
\(822\) | −13.6979 | − | 28.7974i | −0.477769 | − | 1.00442i | ||||
\(823\) | 47.9763 | − | 21.9101i | 1.67235 | − | 0.763736i | 0.672632 | − | 0.739977i | \(-0.265164\pi\) |
0.999718 | − | 0.0237589i | \(-0.00756341\pi\) | |||||||
\(824\) | 6.72771 | + | 1.63801i | 0.234371 | + | 0.0570628i | ||||
\(825\) | −0.623513 | − | 4.33663i | −0.0217079 | − | 0.150982i | ||||
\(826\) | −6.10513 | − | 6.82764i | −0.212425 | − | 0.237564i | ||||
\(827\) | 6.11022 | + | 9.50769i | 0.212473 | + | 0.330615i | 0.931089 | − | 0.364793i | \(-0.118860\pi\) |
−0.718616 | + | 0.695408i | \(0.755224\pi\) | |||||||
\(828\) | 1.06996 | + | 3.26383i | 0.0371835 | + | 0.113426i | ||||
\(829\) | 42.3325 | + | 12.4299i | 1.47027 | + | 0.431710i | 0.916187 | − | 0.400752i | \(-0.131251\pi\) |
0.554082 | + | 0.832462i | \(0.313069\pi\) | |||||||
\(830\) | 9.52906 | + | 14.3312i | 0.330758 | + | 0.497443i | ||||
\(831\) | 0.0383590 | + | 0.266793i | 0.00133066 | + | 0.00925494i | ||||
\(832\) | −15.6327 | + | 3.76513i | −0.541968 | + | 0.130532i | ||||
\(833\) | 19.4108 | 0.672545 | ||||||||
\(834\) | −0.529666 | + | 1.91376i | −0.0183408 | + | 0.0662682i | ||||
\(835\) | 34.1430 | − | 10.0253i | 1.18157 | − | 0.346939i | ||||
\(836\) | 4.47060 | − | 2.21262i | 0.154619 | − | 0.0765251i | ||||
\(837\) | 1.63685 | + | 3.58420i | 0.0565778 | + | 0.123888i | ||||
\(838\) | 8.46884 | + | 53.0200i | 0.292551 | + | 1.83155i | ||||
\(839\) | 2.69043 | − | 4.18639i | 0.0928840 | − | 0.144530i | −0.791702 | − | 0.610908i | \(-0.790805\pi\) |
0.884586 | + | 0.466377i | \(0.154441\pi\) | |||||||
\(840\) | −8.61653 | − | 4.98425i | −0.297298 | − | 0.171973i | ||||
\(841\) | −11.2500 | −0.387931 | ||||||||
\(842\) | −1.90623 | + | 6.88750i | −0.0656931 | + | 0.237359i | ||||
\(843\) | 6.94070 | + | 23.6379i | 0.239051 | + | 0.814131i | ||||
\(844\) | −26.3415 | − | 11.0507i | −0.906711 | − | 0.380380i | ||||
\(845\) | 12.0542 | + | 10.4450i | 0.414678 | + | 0.359320i | ||||
\(846\) | −3.39616 | − | 2.10850i | −0.116763 | − | 0.0724917i | ||||
\(847\) | 6.82981 | − | 7.88203i | 0.234675 | − | 0.270830i | ||||
\(848\) | −24.8244 | + | 44.5019i | −0.852473 | + | 1.52820i | ||||
\(849\) | 4.63690 | − | 7.21515i | 0.159138 | − | 0.247623i | ||||
\(850\) | 16.1288 | + | 2.06286i | 0.553214 | + | 0.0707554i | ||||
\(851\) | −3.10842 | − | 4.83679i | −0.106555 | − | 0.165803i | ||||
\(852\) | −14.5886 | − | 1.63513i | −0.499797 | − | 0.0560186i | ||||
\(853\) | −10.6212 | − | 12.2575i | −0.363662 | − | 0.419688i | 0.544201 | − | 0.838955i | \(-0.316833\pi\) |
−0.907863 | + | 0.419266i | \(0.862287\pi\) | |||||||
\(854\) | −4.95154 | + | 3.29236i | −0.169438 | + | 0.112662i | ||||
\(855\) | −0.264082 | + | 1.83673i | −0.00903141 | + | 0.0628148i | ||||
\(856\) | −5.11360 | + | 12.7426i | −0.174779 | + | 0.435534i | ||||
\(857\) | 20.3404 | − | 17.6251i | 0.694816 | − | 0.602062i | −0.234161 | − | 0.972198i | \(-0.575234\pi\) |
0.928978 | + | 0.370136i | \(0.120689\pi\) | |||||||
\(858\) | −5.77810 | − | 3.58731i | −0.197261 | − | 0.122469i | ||||
\(859\) | 2.61289 | − | 8.89867i | 0.0891505 | − | 0.303619i | −0.902832 | − | 0.429993i | \(-0.858516\pi\) |
0.991983 | + | 0.126375i | \(0.0403341\pi\) | |||||||
\(860\) | 25.2257 | + | 20.5168i | 0.860189 | + | 0.699617i | ||||
\(861\) | 8.09484 | − | 12.5958i | 0.275871 | − | 0.429264i | ||||
\(862\) | 12.2697 | − | 14.6143i | 0.417909 | − | 0.497766i | ||||
\(863\) | 11.8469 | + | 40.3469i | 0.403274 | + | 1.37342i | 0.871751 | + | 0.489949i | \(0.162985\pi\) |
−0.468477 | + | 0.883475i | \(0.655197\pi\) | |||||||
\(864\) | 1.16618 | − | 5.53534i | 0.0396743 | − | 0.188316i | ||||
\(865\) | −37.3577 | + | 5.37122i | −1.27020 | + | 0.182627i | ||||
\(866\) | 1.80850 | − | 4.12924i | 0.0614553 | − | 0.140317i | ||||
\(867\) | −14.6859 | − | 16.9485i | −0.498761 | − | 0.575600i | ||||
\(868\) | −15.5725 | + | 0.485749i | −0.528564 | + | 0.0164874i | ||||
\(869\) | 15.3905 | − | 33.7006i | 0.522088 | − | 1.14321i | ||||
\(870\) | −10.2221 | − | 2.82913i | −0.346561 | − | 0.0959166i | ||||
\(871\) | −13.3212 | + | 9.65520i | −0.451373 | + | 0.327154i | ||||
\(872\) | 7.67218 | + | 8.05967i | 0.259813 | + | 0.272935i | ||||
\(873\) | −0.551467 | − | 0.251846i | −0.0186643 | − | 0.00852371i | ||||
\(874\) | 0.751051 | + | 2.41774i | 0.0254047 | + | 0.0817814i | ||||
\(875\) | −18.1691 | + | 15.7436i | −0.614229 | + | 0.532232i | ||||
\(876\) | 6.12087 | − | 7.52571i | 0.206805 | − | 0.254270i | ||||
\(877\) | 1.74694 | + | 12.1503i | 0.0589901 | + | 0.410285i | 0.997825 | + | 0.0659179i | \(0.0209975\pi\) |
−0.938835 | + | 0.344368i | \(0.888093\pi\) | |||||||
\(878\) | −9.06877 | + | 10.8017i | −0.306056 | + | 0.364540i | ||||
\(879\) | −25.2052 | + | 7.40090i | −0.850149 | + | 0.249626i | ||||
\(880\) | −1.06182 | − | 17.0037i | −0.0357939 | − | 0.573194i | ||||
\(881\) | 23.4193 | + | 15.0506i | 0.789015 | + | 0.507069i | 0.872014 | − | 0.489480i | \(-0.162814\pi\) |
−0.0829993 | + | 0.996550i | \(0.526450\pi\) | |||||||
\(882\) | −4.00463 | − | 1.75392i | −0.134843 | − | 0.0590575i | ||||
\(883\) | −27.1509 | − | 7.97222i | −0.913700 | − | 0.268287i | −0.209103 | − | 0.977894i | \(-0.567054\pi\) |
−0.704597 | + | 0.709607i | \(0.748872\pi\) | |||||||
\(884\) | 18.5515 | − | 17.1162i | 0.623953 | − | 0.575681i | ||||
\(885\) | 3.81881 | + | 4.40714i | 0.128368 | + | 0.148144i | ||||
\(886\) | 26.6815 | − | 4.26180i | 0.896381 | − | 0.143178i | ||||
\(887\) | −52.2714 | − | 7.51549i | −1.75510 | − | 0.252345i | −0.811717 | − | 0.584050i | \(-0.801467\pi\) |
−0.943383 | + | 0.331705i | \(0.892376\pi\) | |||||||
\(888\) | 0.442751 | + | 9.45883i | 0.0148577 | + | 0.317418i | ||||
\(889\) | 10.9396 | − | 9.47921i | 0.366902 | − | 0.317922i | ||||
\(890\) | 2.90014 | + | 18.1566i | 0.0972129 | + | 0.608612i | ||||
\(891\) | 2.01281 | − | 1.29355i | 0.0674317 | − | 0.0433357i | ||||
\(892\) | −41.5040 | − | 17.4116i | −1.38966 | − | 0.582983i | ||||
\(893\) | −2.47875 | − | 1.59299i | −0.0829481 | − | 0.0533075i | ||||
\(894\) | −0.501728 | − | 1.61514i | −0.0167803 | − | 0.0540182i | ||||
\(895\) | 28.4232 | + | 24.6289i | 0.950084 | + | 0.823252i | ||||
\(896\) | 18.3991 | + | 12.7192i | 0.614670 | + | 0.424918i | ||||
\(897\) | 2.26049 | − | 2.60874i | 0.0754754 | − | 0.0871033i | ||||
\(898\) | −48.9290 | − | 6.25797i | −1.63278 | − | 0.208831i | ||||
\(899\) | −15.9282 | + | 4.67695i | −0.531237 | + | 0.155985i | ||||
\(900\) | −3.14112 | − | 1.88295i | −0.104704 | − | 0.0627650i | ||||
\(901\) | − | 79.9907i | − | 2.66488i | ||||||
\(902\) | 25.6228 | − | 0.399526i | 0.853144 | − | 0.0133028i | ||||
\(903\) | −15.1897 | − | 9.76185i | −0.505483 | − | 0.324854i | ||||
\(904\) | −1.66009 | + | 4.13680i | −0.0552137 | + | 0.137588i | ||||
\(905\) | −9.96272 | + | 4.54982i | −0.331172 | + | 0.151241i | ||||
\(906\) | −10.5755 | − | 11.8270i | −0.351347 | − | 0.392926i | ||||
\(907\) | −10.0033 | − | 34.0680i | −0.332153 | − | 1.13121i | −0.941136 | − | 0.338027i | \(-0.890241\pi\) |
0.608983 | − | 0.793183i | \(-0.291578\pi\) | |||||||
\(908\) | 10.9629 | − | 18.2882i | 0.363816 | − | 0.606915i | ||||
\(909\) | − | 0.0908835i | − | 0.00301441i | ||||||
\(910\) | 0.155968 | + | 10.0027i | 0.00517028 | + | 0.331585i | ||||
\(911\) | −22.1249 | + | 3.18109i | −0.733032 | + | 0.105394i | −0.498715 | − | 0.866766i | \(-0.666194\pi\) |
−0.234317 | + | 0.972160i | \(0.575285\pi\) | |||||||
\(912\) | 0.923088 | − | 4.06615i | 0.0305665 | − | 0.134644i | ||||
\(913\) | 4.60817 | − | 15.6940i | 0.152508 | − | 0.519395i | ||||
\(914\) | −10.0305 | − | 15.0853i | −0.331779 | − | 0.498978i | ||||
\(915\) | 3.18488 | − | 2.04680i | 0.105289 | − | 0.0676650i | ||||
\(916\) | 7.82642 | − | 3.87351i | 0.258592 | − | 0.127984i | ||||
\(917\) | 20.9236 | − | 3.00836i | 0.690957 | − | 0.0993447i | ||||
\(918\) | 2.63428 | + | 8.48013i | 0.0869442 | + | 0.279886i | ||||
\(919\) | −21.4935 | − | 47.0641i | −0.709004 | − | 1.55250i | −0.828701 | − | 0.559692i | \(-0.810919\pi\) |
0.119697 | − | 0.992811i | \(-0.461808\pi\) | |||||||
\(920\) | 8.60706 | + | 0.829048i | 0.283766 | + | 0.0273329i | ||||
\(921\) | 12.7725 | + | 11.0674i | 0.420867 | + | 0.364684i | ||||
\(922\) | 27.2949 | + | 11.9545i | 0.898911 | + | 0.393699i | ||||
\(923\) | 6.12866 | + | 13.4199i | 0.201727 | + | 0.441721i | ||||
\(924\) | 1.63768 | + | 9.31775i | 0.0538758 | + | 0.306532i | ||||
\(925\) | 5.88205 | + | 1.72713i | 0.193401 | + | 0.0567875i | ||||
\(926\) | −22.6315 | + | 36.4526i | −0.743716 | + | 1.19791i | ||||
\(927\) | 2.42317 | + | 0.348400i | 0.0795874 | + | 0.0114429i | ||||
\(928\) | 22.3842 | + | 8.18210i | 0.734798 | + | 0.268591i | ||||
\(929\) | 0.828674 | + | 0.378443i | 0.0271879 | + | 0.0124163i | 0.428963 | − | 0.903322i | \(-0.358879\pi\) |
−0.401775 | + | 0.915739i | \(0.631606\pi\) | |||||||
\(930\) | 9.91839 | − | 0.154654i | 0.325237 | − | 0.00507129i | ||||
\(931\) | −2.93126 | − | 1.33866i | −0.0960681 | − | 0.0438729i | ||||
\(932\) | −43.3148 | − | 18.1712i | −1.41882 | − | 0.595219i | ||||
\(933\) | 1.60281 | − | 11.1478i | 0.0524736 | − | 0.364962i | ||||
\(934\) | 4.69277 | + | 9.86571i | 0.153552 | + | 0.322816i | ||||
\(935\) | 14.4587 | + | 22.4981i | 0.472849 | + | 0.735768i | ||||
\(936\) | −5.37391 | + | 1.85496i | −0.175652 | + | 0.0606313i | ||||
\(937\) | 41.0584i | 1.34132i | 0.741765 | + | 0.670660i | \(0.233989\pi\) | ||||
−0.741765 | + | 0.670660i | \(0.766011\pi\) | |||||||
\(938\) | 22.3635 | + | 4.86095i | 0.730194 | + | 0.158716i | ||||
\(939\) | 20.9026i | 0.682132i | ||||||||
\(940\) | −8.29226 | + | 5.70207i | −0.270464 | + | 0.185981i | ||||
\(941\) | −5.05479 | − | 7.86541i | −0.164782 | − | 0.256405i | 0.749037 | − | 0.662529i | \(-0.230517\pi\) |
−0.913818 | + | 0.406123i | \(0.866880\pi\) | |||||||
\(942\) | −0.991415 | + | 0.471581i | −0.0323020 | + | 0.0153649i | ||||
\(943\) | −1.85098 | + | 12.8738i | −0.0602761 | + | 0.419230i | ||||
\(944\) | −7.75753 | − | 10.5604i | −0.252486 | − | 0.343711i | ||||
\(945\) | −3.20132 | − | 1.46200i | −0.104139 | − | 0.0475587i | ||||
\(946\) | −0.481802 | − | 30.8994i | −0.0156647 | − | 1.00463i | ||||
\(947\) | −34.3523 | − | 15.6882i | −1.11630 | − | 0.509797i | −0.230132 | − | 0.973160i | \(-0.573916\pi\) |
−0.886169 | + | 0.463362i | \(0.846643\pi\) | |||||||
\(948\) | −13.7370 | − | 27.7555i | −0.446156 | − | 0.901457i | ||||
\(949\) | −9.64971 | − | 1.38742i | −0.313243 | − | 0.0450375i | ||||
\(950\) | −2.29337 | − | 1.42383i | −0.0744068 | − | 0.0461953i | ||||
\(951\) | −5.07230 | − | 1.48936i | −0.164480 | − | 0.0482958i | ||||
\(952\) | −34.9497 | − | 3.36642i | −1.13272 | − | 0.109106i | ||||
\(953\) | 10.6528 | + | 23.3263i | 0.345078 | + | 0.755614i | 1.00000 | 8.17216e-5i | \(-2.60128e-5\pi\) | |
−0.654922 | + | 0.755696i | \(0.727299\pi\) | |||||||
\(954\) | −7.22778 | + | 16.5028i | −0.234008 | + | 0.534298i | ||||
\(955\) | −13.0784 | − | 11.3325i | −0.423207 | − | 0.366711i | ||||
\(956\) | 3.62377 | + | 20.6178i | 0.117201 | + | 0.666827i | ||||
\(957\) | 4.18752 | + | 9.16940i | 0.135363 | + | 0.296405i | ||||
\(958\) | −21.5041 | + | 6.68005i | −0.694765 | + | 0.215823i | ||||
\(959\) | 44.1263 | − | 6.34440i | 1.42491 | − | 0.204871i | ||||
\(960\) | −11.5868 | − | 8.27977i | −0.373961 | − | 0.267228i | ||||
\(961\) | −13.0177 | + | 8.36599i | −0.419927 | + | 0.269871i | ||||
\(962\) | 7.92451 | − | 5.26914i | 0.255496 | − | 0.169884i | ||||
\(963\) | −1.36765 | + | 4.65779i | −0.0440719 | + | 0.150095i | ||||
\(964\) | −35.4655 | + | 11.6264i | −1.14227 | + | 0.374460i | ||||
\(965\) | −34.2658 | + | 4.92667i | −1.10305 | + | 0.158595i | ||||
\(966\) | −4.80106 | + | 0.0748611i | −0.154472 | + | 0.00240862i | ||||
\(967\) | − | 12.2859i | − | 0.395089i | −0.980294 | − | 0.197545i | \(-0.936703\pi\) | ||
0.980294 | − | 0.197545i | \(-0.0632967\pi\) | |||||||
\(968\) | 10.8072 | − | 10.2876i | 0.347357 | − | 0.330657i | ||||
\(969\) | 1.84402 | + | 6.28014i | 0.0592383 | + | 0.201747i | ||||
\(970\) | −1.13773 | + | 1.01733i | −0.0365302 | + | 0.0326645i | ||||
\(971\) | −17.8769 | + | 8.16409i | −0.573696 | + | 0.261998i | −0.681067 | − | 0.732221i | \(-0.738484\pi\) |
0.107371 | + | 0.994219i | \(0.465757\pi\) | |||||||
\(972\) | 0.222771 | − | 1.98755i | 0.00714537 | − | 0.0637508i | ||||
\(973\) | −2.33528 | − | 1.50079i | −0.0748656 | − | 0.0481132i | ||||
\(974\) | 0.835963 | + | 53.6127i | 0.0267860 | + | 1.71786i | ||||
\(975\) | 3.68052i | 0.117871i | ||||||||
\(976\) | −7.50290 | + | 4.00933i | −0.240162 | + | 0.128335i | ||||
\(977\) | 46.6364 | − | 13.6937i | 1.49203 | − | 0.438100i | 0.568843 | − | 0.822446i | \(-0.307391\pi\) |
0.923189 | + | 0.384346i | \(0.125573\pi\) | |||||||
\(978\) | 1.74449 | − | 13.6396i | 0.0557828 | − | 0.436147i | ||||
\(979\) | 11.4436 | − | 13.2066i | 0.365740 | − | 0.422086i | ||||
\(980\) | −8.08912 | + | 7.46331i | −0.258398 | + | 0.238407i | ||||
\(981\) | 2.97324 | + | 2.57632i | 0.0949281 | + | 0.0822557i | ||||
\(982\) | −33.2326 | + | 10.3234i | −1.06050 | + | 0.329434i | ||||
\(983\) | −26.6462 | − | 17.1245i | −0.849881 | − | 0.546186i | 0.0416564 | − | 0.999132i | \(-0.486737\pi\) |
−0.891538 | + | 0.452946i | \(0.850373\pi\) | |||||||
\(984\) | 13.2553 | − | 16.8268i | 0.422563 | − | 0.536420i | ||||
\(985\) | 4.93601 | − | 3.17218i | 0.157274 | − | 0.101074i | ||||
\(986\) | −36.9433 | + | 5.90091i | −1.17651 | + | 0.187923i | ||||
\(987\) | 4.22337 | − | 3.65957i | 0.134431 | − | 0.116485i | ||||
\(988\) | −3.98190 | + | 1.30535i | −0.126681 | + | 0.0415288i | ||||
\(989\) | 15.5250 | + | 2.23216i | 0.493666 | + | 0.0709785i | ||||
\(990\) | −0.950071 | − | 5.94802i | −0.0301952 | − | 0.189040i | ||||
\(991\) | −35.4666 | − | 40.9307i | −1.12663 | − | 1.30021i | −0.948705 | − | 0.316162i | \(-0.897606\pi\) |
−0.177929 | − | 0.984043i | \(-0.556940\pi\) | |||||||
\(992\) | −22.2427 | − | 1.44431i | −0.706208 | − | 0.0458568i | ||||
\(993\) | 20.1375 | + | 5.91290i | 0.639044 | + | 0.187640i | ||||
\(994\) | 8.23309 | − | 18.7982i | 0.261138 | − | 0.596241i | ||||
\(995\) | −29.1481 | − | 18.7324i | −0.924058 | − | 0.593856i | ||||
\(996\) | −7.74688 | − | 11.2659i | −0.245469 | − | 0.356974i | ||||
\(997\) | 24.5611 | − | 7.21178i | 0.777857 | − | 0.228399i | 0.131379 | − | 0.991332i | \(-0.458059\pi\) |
0.646478 | + | 0.762933i | \(0.276241\pi\) | |||||||
\(998\) | −42.3506 | − | 35.5563i | −1.34059 | − | 1.12551i | ||||
\(999\) | 0.476451 | + | 3.31379i | 0.0150742 | + | 0.104844i |
(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 | 804.2.u.a.43.7 | ✓ | 340 | |
4.3 | odd | 2 | 804.2.u.b.43.3 | yes | 340 | ||
67.53 | odd | 22 | 804.2.u.b.187.3 | yes | 340 | ||
268.187 | even | 22 | inner | 804.2.u.a.187.7 | yes | 340 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.u.a.43.7 | ✓ | 340 | 1.1 | even | 1 | trivial | |
804.2.u.a.187.7 | yes | 340 | 268.187 | even | 22 | inner | |
804.2.u.b.43.3 | yes | 340 | 4.3 | odd | 2 | ||
804.2.u.b.187.3 | yes | 340 | 67.53 | odd | 22 |