Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 107.12 | ||
Character | \(\chi\) | \(=\) | 230.107 |
Dual form | 230.2.l.a.43.12 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.800541 | − | 0.599278i | 0.566068 | − | 0.423753i | ||||
\(3\) | 2.81554 | + | 1.05014i | 1.62555 | + | 0.606300i | 0.986631 | − | 0.162971i | \(-0.0521075\pi\) |
0.638923 | + | 0.769271i | \(0.279380\pi\) | |||||||
\(4\) | 0.281733 | − | 0.959493i | 0.140866 | − | 0.479746i | ||||
\(5\) | −1.01183 | − | 1.99404i | −0.452504 | − | 0.891762i | ||||
\(6\) | 2.88328 | − | 0.846609i | 1.17710 | − | 0.345627i | ||||
\(7\) | −0.890918 | + | 0.193807i | −0.336735 | + | 0.0732523i | −0.377754 | − | 0.925906i | \(-0.623303\pi\) |
0.0410184 | + | 0.999158i | \(0.486940\pi\) | |||||||
\(8\) | −0.349464 | − | 0.936950i | −0.123554 | − | 0.331262i | ||||
\(9\) | 4.55723 | + | 3.94886i | 1.51908 | + | 1.31629i | ||||
\(10\) | −2.00500 | − | 0.989945i | −0.634035 | − | 0.313048i | ||||
\(11\) | −4.85200 | + | 0.697612i | −1.46293 | + | 0.210338i | −0.827346 | − | 0.561693i | \(-0.810150\pi\) |
−0.635586 | + | 0.772030i | \(0.719241\pi\) | |||||||
\(12\) | 1.80083 | − | 2.40563i | 0.519856 | − | 0.694446i | ||||
\(13\) | 0.112625 | − | 0.517727i | 0.0312364 | − | 0.143592i | −0.958887 | − | 0.283787i | \(-0.908409\pi\) |
0.990124 | + | 0.140195i | \(0.0447729\pi\) | |||||||
\(14\) | −0.597072 | + | 0.689058i | −0.159574 | + | 0.184159i | ||||
\(15\) | −0.754821 | − | 6.67687i | −0.194894 | − | 1.72396i | ||||
\(16\) | −0.841254 | − | 0.540641i | −0.210313 | − | 0.135160i | ||||
\(17\) | −2.99963 | + | 5.49341i | −0.727517 | + | 1.33235i | 0.207672 | + | 0.978198i | \(0.433411\pi\) |
−0.935189 | + | 0.354149i | \(0.884771\pi\) | |||||||
\(18\) | 6.01471 | + | 0.430181i | 1.41768 | + | 0.101395i | ||||
\(19\) | 3.07061 | + | 0.901613i | 0.704447 | + | 0.206844i | 0.614286 | − | 0.789083i | \(-0.289444\pi\) |
0.0901601 | + | 0.995927i | \(0.471262\pi\) | |||||||
\(20\) | −2.19833 | + | 0.409057i | −0.491562 | + | 0.0914679i | ||||
\(21\) | −2.71194 | − | 0.389918i | −0.591794 | − | 0.0850872i | ||||
\(22\) | −3.46616 | + | 3.46616i | −0.738988 | + | 0.738988i | ||||
\(23\) | 2.84345 | + | 3.86197i | 0.592900 | + | 0.805276i | ||||
\(24\) | − | 3.00501i | − | 0.613395i | ||||||
\(25\) | −2.95240 | + | 4.03526i | −0.590480 | + | 0.807052i | ||||
\(26\) | −0.220101 | − | 0.481955i | −0.0431654 | − | 0.0945191i | ||||
\(27\) | 4.36376 | + | 7.99162i | 0.839805 | + | 1.53799i | ||||
\(28\) | −0.0650438 | + | 0.909432i | −0.0122921 | + | 0.171866i | ||||
\(29\) | −0.421780 | − | 1.43645i | −0.0783225 | − | 0.266742i | 0.911017 | − | 0.412369i | \(-0.135298\pi\) |
−0.989340 | + | 0.145627i | \(0.953480\pi\) | |||||||
\(30\) | −4.60557 | − | 4.89276i | −0.840857 | − | 0.893293i | ||||
\(31\) | 3.23025 | − | 7.07325i | 0.580170 | − | 1.27039i | −0.361034 | − | 0.932553i | \(-0.617576\pi\) |
0.941203 | − | 0.337841i | \(-0.109697\pi\) | |||||||
\(32\) | −0.997452 | + | 0.0713392i | −0.176326 | + | 0.0126111i | ||||
\(33\) | −14.3936 | − | 3.13113i | −2.50560 | − | 0.545060i | ||||
\(34\) | 0.890751 | + | 6.19531i | 0.152763 | + | 1.06249i | ||||
\(35\) | 1.28792 | + | 1.58043i | 0.217698 | + | 0.267141i | ||||
\(36\) | 5.07282 | − | 3.26011i | 0.845470 | − | 0.543351i | ||||
\(37\) | −0.415006 | − | 5.80254i | −0.0682265 | − | 0.953932i | −0.910135 | − | 0.414312i | \(-0.864022\pi\) |
0.841909 | − | 0.539620i | \(-0.181432\pi\) | |||||||
\(38\) | 2.99847 | − | 1.11837i | 0.486416 | − | 0.181424i | ||||
\(39\) | 0.860786 | − | 1.33941i | 0.137836 | − | 0.214477i | ||||
\(40\) | −1.51472 | + | 1.64488i | −0.239498 | + | 0.260078i | ||||
\(41\) | 0.940286 | + | 1.08515i | 0.146848 | + | 0.169472i | 0.824408 | − | 0.565996i | \(-0.191508\pi\) |
−0.677560 | + | 0.735467i | \(0.736963\pi\) | |||||||
\(42\) | −2.40469 | + | 1.31306i | −0.371052 | + | 0.202610i | ||||
\(43\) | 4.16001 | − | 11.1534i | 0.634395 | − | 1.70088i | −0.0760291 | − | 0.997106i | \(-0.524224\pi\) |
0.710424 | − | 0.703774i | \(-0.248503\pi\) | |||||||
\(44\) | −0.697612 | + | 4.85200i | −0.105169 | + | 0.731466i | ||||
\(45\) | 3.26305 | − | 13.0829i | 0.486427 | − | 1.95028i | ||||
\(46\) | 4.59069 | + | 1.38765i | 0.676860 | + | 0.204598i | ||||
\(47\) | −0.416132 | − | 0.416132i | −0.0606991 | − | 0.0606991i | 0.676106 | − | 0.736805i | \(-0.263666\pi\) |
−0.736805 | + | 0.676106i | \(0.763666\pi\) | |||||||
\(48\) | −1.80083 | − | 2.40563i | −0.259928 | − | 0.347223i | ||||
\(49\) | −5.61125 | + | 2.56257i | −0.801607 | + | 0.366082i | ||||
\(50\) | 0.0547222 | + | 4.99970i | 0.00773889 | + | 0.707064i | ||||
\(51\) | −14.2144 | + | 12.3169i | −1.99042 | + | 1.72471i | ||||
\(52\) | −0.465025 | − | 0.253923i | −0.0644874 | − | 0.0352128i | ||||
\(53\) | 0.324331 | + | 1.49093i | 0.0445503 | + | 0.204795i | 0.994042 | − | 0.108998i | \(-0.0347641\pi\) |
−0.949492 | + | 0.313792i | \(0.898400\pi\) | |||||||
\(54\) | 8.28257 | + | 3.78252i | 1.12711 | + | 0.514736i | ||||
\(55\) | 6.30046 | + | 8.96922i | 0.849554 | + | 1.20941i | ||||
\(56\) | 0.492932 | + | 0.767017i | 0.0658708 | + | 0.102497i | ||||
\(57\) | 7.69861 | + | 5.76311i | 1.01971 | + | 0.763342i | ||||
\(58\) | −1.19848 | − | 0.897174i | −0.157369 | − | 0.117805i | ||||
\(59\) | −7.41732 | − | 11.5416i | −0.965653 | − | 1.50259i | −0.861332 | − | 0.508042i | \(-0.830369\pi\) |
−0.104321 | − | 0.994544i | \(-0.533267\pi\) | |||||||
\(60\) | −6.61907 | − | 1.15685i | −0.854518 | − | 0.149348i | ||||
\(61\) | 5.26049 | + | 2.40239i | 0.673537 | + | 0.307594i | 0.722665 | − | 0.691199i | \(-0.242917\pi\) |
−0.0491281 | + | 0.998792i | \(0.515644\pi\) | |||||||
\(62\) | −1.65290 | − | 7.59825i | −0.209918 | − | 0.964978i | ||||
\(63\) | −4.82543 | − | 2.63489i | −0.607948 | − | 0.331965i | ||||
\(64\) | −0.755750 | + | 0.654861i | −0.0944687 | + | 0.0818576i | ||||
\(65\) | −1.14633 | + | 0.299273i | −0.142184 | + | 0.0371203i | ||||
\(66\) | −13.3991 | + | 6.11915i | −1.64931 | + | 0.753216i | ||||
\(67\) | 2.31494 | + | 3.09240i | 0.282815 | + | 0.377797i | 0.919343 | − | 0.393457i | \(-0.128721\pi\) |
−0.636528 | + | 0.771254i | \(0.719630\pi\) | |||||||
\(68\) | 4.42579 | + | 4.42579i | 0.536706 | + | 0.536706i | ||||
\(69\) | 3.95023 | + | 13.8596i | 0.475552 | + | 1.66850i | ||||
\(70\) | 1.97815 | + | 0.493377i | 0.236434 | + | 0.0589699i | ||||
\(71\) | 0.108388 | − | 0.753855i | 0.0128633 | − | 0.0894661i | −0.982378 | − | 0.186902i | \(-0.940155\pi\) |
0.995242 | + | 0.0974364i | \(0.0310643\pi\) | |||||||
\(72\) | 2.10730 | − | 5.64988i | 0.248347 | − | 0.665845i | ||||
\(73\) | 0.0520352 | − | 0.0284134i | 0.00609026 | − | 0.00332553i | −0.476201 | − | 0.879336i | \(-0.657987\pi\) |
0.482291 | + | 0.876011i | \(0.339805\pi\) | |||||||
\(74\) | −3.80956 | − | 4.39647i | −0.442853 | − | 0.511079i | ||||
\(75\) | −12.5502 | + | 8.26100i | −1.44917 | + | 0.953898i | ||||
\(76\) | 1.73018 | − | 2.69222i | 0.198466 | − | 0.308818i | ||||
\(77\) | 4.18753 | − | 1.56187i | 0.477213 | − | 0.177991i | ||||
\(78\) | −0.113583 | − | 1.58810i | −0.0128608 | − | 0.179817i | ||||
\(79\) | −13.7011 | + | 8.80519i | −1.54150 | + | 0.990661i | −0.554093 | + | 0.832455i | \(0.686935\pi\) |
−0.987406 | + | 0.158206i | \(0.949429\pi\) | |||||||
\(80\) | −0.226855 | + | 2.22453i | −0.0253631 | + | 0.248710i | ||||
\(81\) | 1.31948 | + | 9.17722i | 0.146609 | + | 1.01969i | ||||
\(82\) | 1.40304 | + | 0.305213i | 0.154940 | + | 0.0337052i | ||||
\(83\) | 5.83173 | − | 0.417094i | 0.640116 | − | 0.0457820i | 0.252491 | − | 0.967599i | \(-0.418750\pi\) |
0.387625 | + | 0.921817i | \(0.373296\pi\) | |||||||
\(84\) | −1.13817 | + | 2.49224i | −0.124184 | + | 0.271925i | ||||
\(85\) | 13.9892 | + | 0.422989i | 1.51734 | + | 0.0458795i | ||||
\(86\) | −3.35373 | − | 11.4218i | −0.361642 | − | 1.23164i | ||||
\(87\) | 0.320939 | − | 4.48731i | 0.0344083 | − | 0.481090i | ||||
\(88\) | 2.34923 | + | 4.30229i | 0.250428 | + | 0.458625i | ||||
\(89\) | 2.73698 | + | 5.99315i | 0.290119 | + | 0.635273i | 0.997431 | − | 0.0716289i | \(-0.0228197\pi\) |
−0.707312 | + | 0.706901i | \(0.750092\pi\) | |||||||
\(90\) | −5.22807 | − | 12.4289i | −0.551087 | − | 1.31012i | ||||
\(91\) | 0.483079i | 0.0506405i | ||||||||
\(92\) | 4.50662 | − | 1.64023i | 0.469848 | − | 0.171005i | ||||
\(93\) | 16.5228 | − | 16.5228i | 1.71334 | − | 1.71334i | ||||
\(94\) | −0.582509 | − | 0.0837522i | −0.0600813 | − | 0.00863838i | ||||
\(95\) | −1.30908 | − | 7.03520i | −0.134309 | − | 0.721797i | ||||
\(96\) | −2.88328 | − | 0.846609i | −0.294274 | − | 0.0864066i | ||||
\(97\) | 6.39945 | + | 0.457698i | 0.649766 | + | 0.0464722i | 0.392332 | − | 0.919824i | \(-0.371668\pi\) |
0.257434 | + | 0.966296i | \(0.417123\pi\) | |||||||
\(98\) | −2.95634 | + | 5.41414i | −0.298636 | + | 0.546911i | ||||
\(99\) | −24.8664 | − | 15.9807i | −2.49917 | − | 1.60612i | ||||
\(100\) | 3.04002 | + | 3.96967i | 0.304002 | + | 0.396967i | ||||
\(101\) | −11.3538 | + | 13.1030i | −1.12974 | + | 1.30379i | −0.182526 | + | 0.983201i | \(0.558427\pi\) |
−0.947217 | + | 0.320592i | \(0.896118\pi\) | |||||||
\(102\) | −3.99801 | + | 18.3786i | −0.395862 | + | 1.81975i | ||||
\(103\) | 10.8770 | − | 14.5300i | 1.07174 | − | 1.43168i | 0.177485 | − | 0.984124i | \(-0.443204\pi\) |
0.894256 | − | 0.447555i | \(-0.147705\pi\) | |||||||
\(104\) | −0.524442 | + | 0.0754034i | −0.0514258 | + | 0.00739391i | ||||
\(105\) | 1.96651 | + | 5.80226i | 0.191912 | + | 0.566242i | ||||
\(106\) | 1.15312 | + | 0.999184i | 0.112001 | + | 0.0970493i | ||||
\(107\) | −1.90823 | − | 5.11616i | −0.184475 | − | 0.494598i | 0.811487 | − | 0.584371i | \(-0.198659\pi\) |
−0.995962 | + | 0.0897731i | \(0.971386\pi\) | |||||||
\(108\) | 8.89732 | − | 1.93549i | 0.856145 | − | 0.186243i | ||||
\(109\) | 1.94333 | − | 0.570612i | 0.186137 | − | 0.0546547i | −0.187336 | − | 0.982296i | \(-0.559985\pi\) |
0.373473 | + | 0.927641i | \(0.378167\pi\) | |||||||
\(110\) | 10.4188 | + | 3.40450i | 0.993396 | + | 0.324607i | ||||
\(111\) | 4.92503 | − | 16.7731i | 0.467463 | − | 1.59203i | ||||
\(112\) | 0.854268 | + | 0.318626i | 0.0807208 | + | 0.0301073i | ||||
\(113\) | 1.71240 | − | 1.28189i | 0.161089 | − | 0.120590i | −0.515692 | − | 0.856774i | \(-0.672465\pi\) |
0.676781 | + | 0.736184i | \(0.263374\pi\) | |||||||
\(114\) | 9.61676 | 0.900692 | ||||||||
\(115\) | 4.82384 | − | 9.57761i | 0.449825 | − | 0.893117i | ||||
\(116\) | −1.49709 | −0.139002 | ||||||||
\(117\) | 2.55769 | − | 1.91466i | 0.236458 | − | 0.177010i | ||||
\(118\) | −12.8545 | − | 4.79447i | −1.18335 | − | 0.441367i | ||||
\(119\) | 1.60776 | − | 5.47553i | 0.147383 | − | 0.501941i | ||||
\(120\) | −5.99211 | + | 3.04056i | −0.547002 | + | 0.277564i | ||||
\(121\) | 12.5008 | − | 3.67056i | 1.13643 | − | 0.333687i | ||||
\(122\) | 5.65094 | − | 1.22929i | 0.511612 | − | 0.111294i | ||||
\(123\) | 1.50785 | + | 4.04271i | 0.135959 | + | 0.364519i | ||||
\(124\) | −5.87667 | − | 5.09217i | −0.527741 | − | 0.457290i | ||||
\(125\) | 11.0338 | + | 1.80421i | 0.986893 | + | 0.161374i | ||||
\(126\) | −5.44199 | + | 0.782440i | −0.484811 | + | 0.0697053i | ||||
\(127\) | 3.56565 | − | 4.76314i | 0.316400 | − | 0.422661i | −0.613944 | − | 0.789350i | \(-0.710418\pi\) |
0.930344 | + | 0.366689i | \(0.119509\pi\) | |||||||
\(128\) | −0.212565 | + | 0.977147i | −0.0187883 | + | 0.0863684i | ||||
\(129\) | 23.4253 | − | 27.0343i | 2.06249 | − | 2.38024i | ||||
\(130\) | −0.738333 | + | 0.926548i | −0.0647561 | + | 0.0812636i | ||||
\(131\) | −3.32964 | − | 2.13983i | −0.290912 | − | 0.186958i | 0.387042 | − | 0.922062i | \(-0.373497\pi\) |
−0.677954 | + | 0.735104i | \(0.737133\pi\) | |||||||
\(132\) | −7.05944 | + | 12.9284i | −0.614446 | + | 1.12527i | ||||
\(133\) | −2.91040 | − | 0.208156i | −0.252364 | − | 0.0180494i | ||||
\(134\) | 3.70641 | + | 1.08830i | 0.320185 | + | 0.0940149i | ||||
\(135\) | 11.5202 | − | 16.7877i | 0.991505 | − | 1.44485i | ||||
\(136\) | 6.19531 | + | 0.890751i | 0.531244 | + | 0.0763813i | ||||
\(137\) | −0.539311 | + | 0.539311i | −0.0460764 | + | 0.0460764i | −0.729770 | − | 0.683693i | \(-0.760373\pi\) |
0.683693 | + | 0.729770i | \(0.260373\pi\) | |||||||
\(138\) | 11.4680 | + | 8.72787i | 0.976225 | + | 0.742965i | ||||
\(139\) | 20.8398i | 1.76761i | 0.467856 | + | 0.883805i | \(0.345027\pi\) | ||||
−0.467856 | + | 0.883805i | \(0.654973\pi\) | |||||||
\(140\) | 1.87926 | − | 0.790490i | 0.158826 | − | 0.0668086i | ||||
\(141\) | −0.734639 | − | 1.60864i | −0.0618678 | − | 0.135472i | ||||
\(142\) | −0.364999 | − | 0.668446i | −0.0306301 | − | 0.0560947i | ||||
\(143\) | −0.185282 | + | 2.59058i | −0.0154940 | + | 0.216635i | ||||
\(144\) | −1.69887 | − | 5.78582i | −0.141572 | − | 0.482151i | ||||
\(145\) | −2.43757 | + | 2.29449i | −0.202429 | + | 0.190547i | ||||
\(146\) | 0.0246288 | − | 0.0539296i | 0.00203830 | − | 0.00446324i | ||||
\(147\) | −18.4898 | + | 1.32241i | −1.52501 | + | 0.109071i | ||||
\(148\) | −5.68442 | − | 1.23657i | −0.467256 | − | 0.101645i | ||||
\(149\) | 0.412638 | + | 2.86996i | 0.0338046 | + | 0.235116i | 0.999718 | − | 0.0237495i | \(-0.00756041\pi\) |
−0.965913 | + | 0.258866i | \(0.916651\pi\) | |||||||
\(150\) | −5.09633 | + | 14.1343i | −0.416113 | + | 1.15406i | ||||
\(151\) | −9.27930 | + | 5.96345i | −0.755139 | + | 0.485298i | −0.860699 | − | 0.509115i | \(-0.829973\pi\) |
0.105560 | + | 0.994413i | \(0.466337\pi\) | |||||||
\(152\) | −0.228303 | − | 3.19209i | −0.0185178 | − | 0.258913i | ||||
\(153\) | −35.3627 | + | 13.1896i | −2.85890 | + | 1.06632i | ||||
\(154\) | 2.41630 | − | 3.75983i | 0.194711 | − | 0.302976i | ||||
\(155\) | −17.3728 | + | 0.715683i | −1.39542 | + | 0.0574850i | ||||
\(156\) | −1.04264 | − | 1.20327i | −0.0834782 | − | 0.0963390i | ||||
\(157\) | 3.39999 | − | 1.85653i | 0.271349 | − | 0.148168i | −0.337814 | − | 0.941213i | \(-0.609687\pi\) |
0.609163 | + | 0.793045i | \(0.291506\pi\) | |||||||
\(158\) | −5.69158 | + | 15.2597i | −0.452797 | + | 1.21400i | ||||
\(159\) | −0.652518 | + | 4.53836i | −0.0517480 | + | 0.359915i | ||||
\(160\) | 1.15150 | + | 1.91678i | 0.0910345 | + | 0.151535i | ||||
\(161\) | −3.28176 | − | 2.88962i | −0.258639 | − | 0.227734i | ||||
\(162\) | 6.55600 | + | 6.55600i | 0.515088 | + | 0.515088i | ||||
\(163\) | 8.98517 | + | 12.0028i | 0.703773 | + | 0.940131i | 0.999887 | − | 0.0150219i | \(-0.00478179\pi\) |
−0.296114 | + | 0.955153i | \(0.595691\pi\) | |||||||
\(164\) | 1.30610 | − | 0.596476i | 0.101989 | − | 0.0465770i | ||||
\(165\) | 8.32025 | + | 31.8696i | 0.647731 | + | 2.48104i | ||||
\(166\) | 4.41859 | − | 3.82873i | 0.342949 | − | 0.297167i | ||||
\(167\) | 1.72748 | + | 0.943274i | 0.133676 | + | 0.0729928i | 0.544695 | − | 0.838634i | \(-0.316645\pi\) |
−0.411019 | + | 0.911627i | \(0.634827\pi\) | |||||||
\(168\) | 0.582393 | + | 2.67722i | 0.0449326 | + | 0.206552i | ||||
\(169\) | 11.5699 | + | 5.28378i | 0.889989 | + | 0.406444i | ||||
\(170\) | 11.4524 | − | 8.04479i | 0.878360 | − | 0.617008i | ||||
\(171\) | 10.4331 | + | 16.2343i | 0.797841 | + | 1.24147i | ||||
\(172\) | −9.52961 | − | 7.13378i | −0.726626 | − | 0.543945i | ||||
\(173\) | −11.1152 | − | 8.32071i | −0.845071 | − | 0.632612i | 0.0864679 | − | 0.996255i | \(-0.472442\pi\) |
−0.931539 | + | 0.363643i | \(0.881533\pi\) | |||||||
\(174\) | −2.43222 | − | 3.78461i | −0.184386 | − | 0.286911i | ||||
\(175\) | 1.84828 | − | 4.16728i | 0.139717 | − | 0.315017i | ||||
\(176\) | 4.45892 | + | 2.03632i | 0.336103 | + | 0.153493i | ||||
\(177\) | −8.76348 | − | 40.2851i | −0.658703 | − | 3.02801i | ||||
\(178\) | 5.78263 | + | 3.15755i | 0.433426 | + | 0.236669i | ||||
\(179\) | −9.16986 | + | 7.94573i | −0.685388 | + | 0.593892i | −0.926360 | − | 0.376640i | \(-0.877079\pi\) |
0.240972 | + | 0.970532i | \(0.422534\pi\) | |||||||
\(180\) | −11.6336 | − | 6.81675i | −0.867119 | − | 0.508090i | ||||
\(181\) | 5.81577 | − | 2.65597i | 0.432283 | − | 0.197417i | −0.187376 | − | 0.982288i | \(-0.559998\pi\) |
0.619659 | + | 0.784871i | \(0.287271\pi\) | |||||||
\(182\) | 0.289499 | + | 0.386725i | 0.0214591 | + | 0.0286660i | ||||
\(183\) | 12.2883 | + | 12.2883i | 0.908376 | + | 0.908376i | ||||
\(184\) | 2.62479 | − | 4.01379i | 0.193502 | − | 0.295900i | ||||
\(185\) | −11.1506 | + | 6.69872i | −0.819808 | + | 0.492500i | ||||
\(186\) | 3.32544 | − | 23.1290i | 0.243833 | − | 1.69590i | ||||
\(187\) | 10.7219 | − | 28.7466i | 0.784064 | − | 2.10216i | ||||
\(188\) | −0.516514 | + | 0.282038i | −0.0376706 | + | 0.0205697i | ||||
\(189\) | −5.43658 | − | 6.27415i | −0.395453 | − | 0.456377i | ||||
\(190\) | −5.26402 | − | 4.84747i | −0.381892 | − | 0.351672i | ||||
\(191\) | 11.6591 | − | 18.1419i | 0.843621 | − | 1.31270i | −0.104414 | − | 0.994534i | \(-0.533297\pi\) |
0.948035 | − | 0.318166i | \(-0.103067\pi\) | |||||||
\(192\) | −2.81554 | + | 1.05014i | −0.203194 | + | 0.0757875i | ||||
\(193\) | 1.42013 | + | 19.8560i | 0.102223 | + | 1.42927i | 0.746963 | + | 0.664865i | \(0.231511\pi\) |
−0.644740 | + | 0.764402i | \(0.723034\pi\) | |||||||
\(194\) | 5.39731 | − | 3.46864i | 0.387504 | − | 0.249034i | ||||
\(195\) | −3.54181 | − | 0.361189i | −0.253634 | − | 0.0258653i | ||||
\(196\) | 0.877898 | + | 6.10592i | 0.0627070 | + | 0.436137i | ||||
\(197\) | 16.4673 | + | 3.58225i | 1.17325 | + | 0.255224i | 0.756621 | − | 0.653853i | \(-0.226849\pi\) |
0.416626 | + | 0.909078i | \(0.363212\pi\) | |||||||
\(198\) | −29.4835 | + | 2.10870i | −2.09530 | + | 0.149859i | ||||
\(199\) | 0.726464 | − | 1.59073i | 0.0514976 | − | 0.112764i | −0.882134 | − | 0.470998i | \(-0.843894\pi\) |
0.933632 | + | 0.358234i | \(0.116621\pi\) | |||||||
\(200\) | 4.81259 | + | 1.35607i | 0.340302 | + | 0.0958888i | ||||
\(201\) | 3.27035 | + | 11.1378i | 0.230673 | + | 0.785600i | ||||
\(202\) | −1.23686 | + | 17.2935i | −0.0870250 | + | 1.21677i | ||||
\(203\) | 0.654166 | + | 1.19802i | 0.0459134 | + | 0.0840842i | ||||
\(204\) | 7.81329 | + | 17.1087i | 0.547040 | + | 1.19785i | ||||
\(205\) | 1.21242 | − | 2.97295i | 0.0846791 | − | 0.207640i | ||||
\(206\) | − | 18.1502i | − | 1.26458i | ||||||
\(207\) | −2.29213 | + | 28.8282i | −0.159314 | + | 2.00370i | ||||
\(208\) | −0.374650 | + | 0.374650i | −0.0259773 | + | 0.0259773i | ||||
\(209\) | −15.5276 | − | 2.23253i | −1.07406 | − | 0.154427i | ||||
\(210\) | 5.05144 | + | 3.46646i | 0.348582 | + | 0.239208i | ||||
\(211\) | 20.1638 | + | 5.92064i | 1.38814 | + | 0.407594i | 0.888593 | − | 0.458696i | \(-0.151683\pi\) |
0.499543 | + | 0.866289i | \(0.333501\pi\) | |||||||
\(212\) | 1.52191 | + | 0.108849i | 0.104525 | + | 0.00747578i | ||||
\(213\) | 1.09683 | − | 2.00869i | 0.0751533 | − | 0.137633i | ||||
\(214\) | −4.59361 | − | 2.95214i | −0.314013 | − | 0.201804i | ||||
\(215\) | −26.4496 | + | 2.99013i | −1.80385 | + | 0.203925i | ||||
\(216\) | 5.96277 | − | 6.88141i | 0.405715 | − | 0.468220i | ||||
\(217\) | −1.50704 | + | 6.92774i | −0.102304 | + | 0.470285i | ||||
\(218\) | 1.21376 | − | 1.62139i | 0.0822061 | − | 0.109814i | ||||
\(219\) | 0.176345 | − | 0.0253546i | 0.0119163 | − | 0.00171331i | ||||
\(220\) | 10.3809 | − | 3.51833i | 0.699883 | − | 0.237206i | ||||
\(221\) | 2.50625 | + | 2.17168i | 0.168589 | + | 0.146083i | ||||
\(222\) | −6.10906 | − | 16.3790i | −0.410013 | − | 1.09929i | ||||
\(223\) | −18.1350 | + | 3.94503i | −1.21441 | + | 0.264179i | −0.773747 | − | 0.633494i | \(-0.781620\pi\) |
−0.440662 | + | 0.897673i | \(0.645256\pi\) | |||||||
\(224\) | 0.874822 | − | 0.256871i | 0.0584515 | − | 0.0171629i | ||||
\(225\) | −29.3894 | + | 6.73098i | −1.95930 | + | 0.448732i | ||||
\(226\) | 0.602642 | − | 2.05241i | 0.0400871 | − | 0.136524i | ||||
\(227\) | −7.80769 | − | 2.91212i | −0.518215 | − | 0.193284i | 0.0767281 | − | 0.997052i | \(-0.475553\pi\) |
−0.594943 | + | 0.803768i | \(0.702825\pi\) | |||||||
\(228\) | 7.69861 | − | 5.76311i | 0.509853 | − | 0.381671i | ||||
\(229\) | −11.3403 | −0.749388 | −0.374694 | − | 0.927148i | \(-0.622252\pi\) | ||||
−0.374694 | + | 0.927148i | \(0.622252\pi\) | |||||||
\(230\) | −1.87797 | − | 10.5581i | −0.123829 | − | 0.696180i | ||||
\(231\) | 13.4303 | 0.883652 | ||||||||
\(232\) | −1.19848 | + | 0.897174i | −0.0786843 | + | 0.0589024i | ||||
\(233\) | 16.1734 | + | 6.03235i | 1.05955 | + | 0.395192i | 0.818014 | − | 0.575199i | \(-0.195075\pi\) |
0.241538 | + | 0.970391i | \(0.422348\pi\) | |||||||
\(234\) | 0.900120 | − | 3.06553i | 0.0588427 | − | 0.200400i | ||||
\(235\) | −0.408730 | + | 1.25084i | −0.0266626 | + | 0.0815958i | ||||
\(236\) | −13.1638 | + | 3.86523i | −0.856888 | + | 0.251605i | ||||
\(237\) | −47.8228 | + | 10.4032i | −3.10643 | + | 0.675762i | ||||
\(238\) | −1.99428 | − | 5.34688i | −0.129270 | − | 0.346587i | ||||
\(239\) | −9.97290 | − | 8.64156i | −0.645093 | − | 0.558976i | 0.269677 | − | 0.962951i | \(-0.413083\pi\) |
−0.914770 | + | 0.403974i | \(0.867628\pi\) | |||||||
\(240\) | −2.97479 | + | 6.02503i | −0.192022 | + | 0.388914i | ||||
\(241\) | −20.6338 | + | 2.96669i | −1.32914 | + | 0.191102i | −0.770039 | − | 0.637997i | \(-0.779763\pi\) |
−0.559102 | + | 0.829099i | \(0.688854\pi\) | |||||||
\(242\) | 7.80770 | − | 10.4299i | 0.501898 | − | 0.670458i | ||||
\(243\) | −0.115846 | + | 0.532537i | −0.00743155 | + | 0.0341623i | ||||
\(244\) | 3.78712 | − | 4.37057i | 0.242446 | − | 0.279797i | ||||
\(245\) | 10.7875 | + | 8.59618i | 0.689188 | + | 0.549190i | ||||
\(246\) | 3.62981 | + | 2.33274i | 0.231428 | + | 0.148730i | ||||
\(247\) | 0.812615 | − | 1.48819i | 0.0517055 | − | 0.0946915i | ||||
\(248\) | −7.75614 | − | 0.554730i | −0.492515 | − | 0.0352254i | ||||
\(249\) | 16.8575 | + | 4.94981i | 1.06830 | + | 0.313681i | ||||
\(250\) | 9.91424 | − | 5.16796i | 0.627032 | − | 0.326851i | ||||
\(251\) | −14.1648 | − | 2.03659i | −0.894074 | − | 0.128548i | −0.320063 | − | 0.947396i | \(-0.603704\pi\) |
−0.574011 | + | 0.818848i | \(0.694613\pi\) | |||||||
\(252\) | −3.88764 | + | 3.88764i | −0.244898 | + | 0.244898i | ||||
\(253\) | −16.4906 | − | 16.7546i | −1.03675 | − | 1.05335i | ||||
\(254\) | − | 5.94990i | − | 0.373330i | ||||||
\(255\) | 38.9430 | + | 15.8816i | 2.43870 | + | 0.994544i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 6.49684 | + | 11.8981i | 0.405262 | + | 0.742182i | 0.998000 | − | 0.0632136i | \(-0.0201349\pi\) |
−0.592738 | + | 0.805395i | \(0.701953\pi\) | |||||||
\(258\) | 2.55191 | − | 35.6804i | 0.158875 | − | 2.22136i | ||||
\(259\) | 1.49431 | + | 5.08916i | 0.0928520 | + | 0.316225i | ||||
\(260\) | −0.0358066 | + | 1.18421i | −0.00222063 | + | 0.0734413i | ||||
\(261\) | 3.75019 | − | 8.21178i | 0.232131 | − | 0.508296i | ||||
\(262\) | −3.94786 | + | 0.282357i | −0.243900 | + | 0.0174440i | ||||
\(263\) | −13.4695 | − | 2.93011i | −0.830566 | − | 0.180679i | −0.222870 | − | 0.974848i | \(-0.571542\pi\) |
−0.607696 | + | 0.794170i | \(0.707906\pi\) | |||||||
\(264\) | 2.09633 | + | 14.5803i | 0.129020 | + | 0.897355i | ||||
\(265\) | 2.64480 | − | 2.15529i | 0.162469 | − | 0.132399i | ||||
\(266\) | −2.45464 | + | 1.57750i | −0.150504 | + | 0.0967228i | ||||
\(267\) | 1.41242 | + | 19.7482i | 0.0864386 | + | 1.20857i | ||||
\(268\) | 3.61933 | − | 1.34994i | 0.221086 | − | 0.0824607i | ||||
\(269\) | −10.0072 | + | 15.5715i | −0.610150 | + | 0.949412i | 0.389448 | + | 0.921049i | \(0.372666\pi\) |
−0.999598 | + | 0.0283632i | \(0.990970\pi\) | |||||||
\(270\) | −0.838043 | − | 20.3430i | −0.0510016 | − | 1.23804i | ||||
\(271\) | −8.74529 | − | 10.0926i | −0.531239 | − | 0.613082i | 0.425170 | − | 0.905113i | \(-0.360214\pi\) |
−0.956409 | + | 0.292031i | \(0.905669\pi\) | |||||||
\(272\) | 5.49341 | − | 2.99963i | 0.333087 | − | 0.181879i | ||||
\(273\) | −0.507302 | + | 1.36013i | −0.0307033 | + | 0.0823188i | ||||
\(274\) | −0.108544 | + | 0.754937i | −0.00655736 | + | 0.0456074i | ||||
\(275\) | 11.5100 | − | 21.6387i | 0.694079 | − | 1.30486i | ||||
\(276\) | 14.4111 | + | 0.114471i | 0.867444 | + | 0.00689034i | ||||
\(277\) | 2.52900 | + | 2.52900i | 0.151953 | + | 0.151953i | 0.778990 | − | 0.627037i | \(-0.215732\pi\) |
−0.627037 | + | 0.778990i | \(0.715732\pi\) | |||||||
\(278\) | 12.4888 | + | 16.6831i | 0.749030 | + | 1.00059i | ||||
\(279\) | 42.6523 | − | 19.4786i | 2.55352 | − | 1.16616i | ||||
\(280\) | 1.03070 | − | 1.75902i | 0.0615961 | − | 0.105121i | ||||
\(281\) | −9.73232 | + | 8.43310i | −0.580581 | + | 0.503077i | −0.894915 | − | 0.446236i | \(-0.852764\pi\) |
0.314334 | + | 0.949312i | \(0.398219\pi\) | |||||||
\(282\) | −1.55213 | − | 0.847526i | −0.0924279 | − | 0.0504694i | ||||
\(283\) | 4.92706 | + | 22.6493i | 0.292883 | + | 1.34636i | 0.854710 | + | 0.519106i | \(0.173735\pi\) |
−0.561827 | + | 0.827255i | \(0.689901\pi\) | |||||||
\(284\) | −0.692782 | − | 0.316383i | −0.0411090 | − | 0.0187739i | ||||
\(285\) | 3.70219 | − | 21.1826i | 0.219299 | − | 1.25475i | ||||
\(286\) | 1.40415 | + | 2.18490i | 0.0830290 | + | 0.129196i | ||||
\(287\) | −1.04803 | − | 0.784544i | −0.0618631 | − | 0.0463101i | ||||
\(288\) | −4.82732 | − | 3.61369i | −0.284453 | − | 0.212939i | ||||
\(289\) | −11.9889 | − | 18.6551i | −0.705228 | − | 1.09736i | ||||
\(290\) | −0.576340 | + | 3.29761i | −0.0338439 | + | 0.193643i | ||||
\(291\) | 17.5373 | + | 8.00901i | 1.02805 | + | 0.469496i | ||||
\(292\) | −0.0126024 | − | 0.0579324i | −0.000737500 | − | 0.00339023i | ||||
\(293\) | 8.78180 | + | 4.79522i | 0.513038 | + | 0.280140i | 0.714842 | − | 0.699286i | \(-0.246499\pi\) |
−0.201804 | + | 0.979426i | \(0.564680\pi\) | |||||||
\(294\) | −14.0093 | + | 12.1392i | −0.817041 | + | 0.707970i | ||||
\(295\) | −15.5093 | + | 26.4686i | −0.902988 | + | 1.54106i | ||||
\(296\) | −5.29166 | + | 2.41662i | −0.307571 | + | 0.140463i | ||||
\(297\) | −26.7480 | − | 35.7311i | −1.55207 | − | 2.07333i | ||||
\(298\) | 2.05024 | + | 2.05024i | 0.118767 | + | 0.118767i | ||||
\(299\) | 2.31969 | − | 1.03718i | 0.134151 | − | 0.0599815i | ||||
\(300\) | 4.39057 | + | 14.3692i | 0.253490 | + | 0.829608i | ||||
\(301\) | −1.54461 | + | 10.7430i | −0.0890300 | + | 0.619217i | ||||
\(302\) | −3.85470 | + | 10.3349i | −0.221813 | + | 0.594705i | ||||
\(303\) | −45.7270 | + | 24.9688i | −2.62695 | + | 1.43442i | ||||
\(304\) | −2.09571 | − | 2.41858i | −0.120197 | − | 0.138715i | ||||
\(305\) | −0.532264 | − | 12.9204i | −0.0304774 | − | 0.739822i | ||||
\(306\) | −20.4051 | + | 31.7509i | −1.16648 | + | 1.81508i | ||||
\(307\) | 3.54578 | − | 1.32251i | 0.202368 | − | 0.0754795i | −0.246236 | − | 0.969210i | \(-0.579194\pi\) |
0.448605 | + | 0.893730i | \(0.351921\pi\) | |||||||
\(308\) | −0.318838 | − | 4.45793i | −0.0181675 | − | 0.254014i | ||||
\(309\) | 45.8831 | − | 29.4873i | 2.61020 | − | 1.67747i | ||||
\(310\) | −13.4788 | + | 10.9841i | −0.765543 | + | 0.623854i | ||||
\(311\) | −2.68182 | − | 18.6525i | −0.152072 | − | 1.05768i | −0.912739 | − | 0.408542i | \(-0.866037\pi\) |
0.760667 | − | 0.649142i | \(-0.224872\pi\) | |||||||
\(312\) | −1.55577 | − | 0.338438i | −0.0880783 | − | 0.0191603i | ||||
\(313\) | 1.87192 | − | 0.133883i | 0.105807 | − | 0.00756749i | −0.0183351 | − | 0.999832i | \(-0.505837\pi\) |
0.124142 | + | 0.992264i | \(0.460382\pi\) | |||||||
\(314\) | 1.60925 | − | 3.52377i | 0.0908153 | − | 0.198858i | ||||
\(315\) | −0.371555 | + | 12.2882i | −0.0209348 | + | 0.692360i | ||||
\(316\) | 4.58846 | + | 15.6269i | 0.258121 | + | 0.879079i | ||||
\(317\) | −0.414602 | + | 5.79689i | −0.0232863 | + | 0.325586i | 0.972435 | + | 0.233175i | \(0.0749117\pi\) |
−0.995721 | + | 0.0924102i | \(0.970543\pi\) | |||||||
\(318\) | 2.19737 | + | 4.02418i | 0.123222 | + | 0.225665i | ||||
\(319\) | 3.04856 | + | 6.67541i | 0.170686 | + | 0.373751i | ||||
\(320\) | 2.07051 | + | 0.844388i | 0.115745 | + | 0.0472027i | ||||
\(321\) | − | 16.4087i | − | 0.915842i | ||||||
\(322\) | −4.35886 | − | 0.346573i | −0.242910 | − | 0.0193137i | ||||
\(323\) | −14.1636 | + | 14.1636i | −0.788085 | + | 0.788085i | ||||
\(324\) | 9.17722 | + | 1.31948i | 0.509845 | + | 0.0733047i | ||||
\(325\) | 1.75665 | + | 1.98301i | 0.0974413 | + | 0.109997i | ||||
\(326\) | 14.3860 | + | 4.22411i | 0.796767 | + | 0.233952i | ||||
\(327\) | 6.07074 | + | 0.434188i | 0.335713 | + | 0.0240107i | ||||
\(328\) | 0.688133 | − | 1.26022i | 0.0379958 | − | 0.0695841i | ||||
\(329\) | 0.451389 | + | 0.290090i | 0.0248859 | + | 0.0159932i | ||||
\(330\) | 25.7594 | + | 20.5268i | 1.41801 | + | 1.12996i | ||||
\(331\) | 7.58992 | − | 8.75923i | 0.417180 | − | 0.481451i | −0.507796 | − | 0.861477i | \(-0.669540\pi\) |
0.924976 | + | 0.380026i | \(0.124085\pi\) | |||||||
\(332\) | 1.24279 | − | 5.71301i | 0.0682070 | − | 0.313542i | ||||
\(333\) | 21.0221 | − | 28.0823i | 1.15201 | − | 1.53890i | ||||
\(334\) | 1.94820 | − | 0.280109i | 0.106601 | − | 0.0153269i | ||||
\(335\) | 3.82405 | − | 7.74507i | 0.208930 | − | 0.423158i | ||||
\(336\) | 2.07063 | + | 1.79421i | 0.112962 | + | 0.0978820i | ||||
\(337\) | 5.30737 | + | 14.2296i | 0.289111 | + | 0.775137i | 0.997589 | + | 0.0694034i | \(0.0221096\pi\) |
−0.708478 | + | 0.705733i | \(0.750618\pi\) | |||||||
\(338\) | 12.4286 | − | 2.70368i | 0.676027 | − | 0.147061i | ||||
\(339\) | 6.16751 | − | 1.81094i | 0.334973 | − | 0.0983569i | ||||
\(340\) | 4.34707 | − | 13.3034i | 0.235753 | − | 0.721476i | ||||
\(341\) | −10.7388 | + | 36.5729i | −0.581536 | + | 1.98053i | ||||
\(342\) | 18.0810 | + | 6.74386i | 0.977708 | + | 0.364666i | ||||
\(343\) | 9.61180 | − | 7.19530i | 0.518988 | − | 0.388510i | ||||
\(344\) | −11.9040 | −0.641818 | ||||||||
\(345\) | 23.6396 | − | 21.9004i | 1.27271 | − | 1.17908i | ||||
\(346\) | −13.8846 | −0.746439 | ||||||||
\(347\) | 23.7340 | − | 17.7670i | 1.27411 | − | 0.953783i | 0.274137 | − | 0.961691i | \(-0.411608\pi\) |
0.999969 | + | 0.00790725i | \(0.00251698\pi\) | |||||||
\(348\) | −4.21513 | − | 1.57216i | −0.225954 | − | 0.0842767i | ||||
\(349\) | −0.612171 | + | 2.08486i | −0.0327688 | + | 0.111600i | −0.974253 | − | 0.225456i | \(-0.927613\pi\) |
0.941485 | + | 0.337056i | \(0.109431\pi\) | |||||||
\(350\) | −1.01773 | − | 4.44372i | −0.0544001 | − | 0.237527i | ||||
\(351\) | 4.62894 | − | 1.35918i | 0.247075 | − | 0.0725477i | ||||
\(352\) | 4.78987 | − | 1.04197i | 0.255301 | − | 0.0555373i | ||||
\(353\) | −9.23286 | − | 24.7543i | −0.491416 | − | 1.31754i | −0.911966 | − | 0.410267i | \(-0.865436\pi\) |
0.420550 | − | 0.907269i | \(-0.361837\pi\) | |||||||
\(354\) | −31.1575 | − | 26.9981i | −1.65600 | − | 1.43493i | ||||
\(355\) | −1.61289 | + | 0.546642i | −0.0856032 | + | 0.0290128i | ||||
\(356\) | 6.52148 | − | 0.937647i | 0.345638 | − | 0.0496952i | ||||
\(357\) | 10.2768 | − | 13.7282i | 0.543906 | − | 0.726573i | ||||
\(358\) | −2.57915 | + | 11.8562i | −0.136313 | + | 0.626619i | ||||
\(359\) | −10.9116 | + | 12.5926i | −0.575891 | + | 0.664614i | −0.966716 | − | 0.255851i | \(-0.917644\pi\) |
0.390825 | + | 0.920465i | \(0.372190\pi\) | |||||||
\(360\) | −13.3983 | + | 1.51468i | −0.706153 | + | 0.0798306i | ||||
\(361\) | −7.36807 | − | 4.73517i | −0.387793 | − | 0.249220i | ||||
\(362\) | 3.06410 | − | 5.61147i | 0.161045 | − | 0.294933i | ||||
\(363\) | 39.0511 | + | 2.79299i | 2.04965 | + | 0.146594i | ||||
\(364\) | 0.463511 | + | 0.136099i | 0.0242946 | + | 0.00713354i | ||||
\(365\) | −0.109308 | − | 0.0750108i | −0.00572145 | − | 0.00392625i | ||||
\(366\) | 17.2014 | + | 2.47318i | 0.899130 | + | 0.129275i | ||||
\(367\) | −21.0752 | + | 21.0752i | −1.10012 | + | 1.10012i | −0.105720 | + | 0.994396i | \(0.533715\pi\) |
−0.994396 | + | 0.105720i | \(0.966285\pi\) | |||||||
\(368\) | −0.304124 | − | 4.78618i | −0.0158535 | − | 0.249497i | ||||
\(369\) | 8.65832i | 0.450734i | ||||||||
\(370\) | −4.91211 | + | 12.0449i | −0.255369 | + | 0.626185i | ||||
\(371\) | −0.577905 | − | 1.26544i | −0.0300033 | − | 0.0656981i | ||||
\(372\) | −11.1985 | − | 20.5086i | −0.580616 | − | 1.06332i | ||||
\(373\) | 1.00695 | − | 14.0789i | 0.0521377 | − | 0.728980i | −0.902402 | − | 0.430895i | \(-0.858198\pi\) |
0.954540 | − | 0.298084i | \(-0.0963477\pi\) | |||||||
\(374\) | −8.64384 | − | 29.4382i | −0.446962 | − | 1.52221i | ||||
\(375\) | 29.1715 | + | 16.6669i | 1.50641 | + | 0.860676i | ||||
\(376\) | −0.244472 | + | 0.535318i | −0.0126077 | + | 0.0276069i | ||||
\(377\) | −0.791191 | + | 0.0565871i | −0.0407484 | + | 0.00291438i | ||||
\(378\) | −8.11217 | − | 1.76469i | −0.417245 | − | 0.0907661i | ||||
\(379\) | −1.62209 | − | 11.2819i | −0.0833209 | − | 0.579510i | −0.988122 | − | 0.153674i | \(-0.950889\pi\) |
0.904801 | − | 0.425835i | \(-0.140020\pi\) | |||||||
\(380\) | −7.11904 | − | 0.725991i | −0.365199 | − | 0.0372425i | ||||
\(381\) | 15.0412 | − | 9.66640i | 0.770584 | − | 0.495224i | ||||
\(382\) | −1.53845 | − | 21.5103i | −0.0787140 | − | 1.10056i | ||||
\(383\) | 8.32529 | − | 3.10517i | 0.425402 | − | 0.158667i | −0.127639 | − | 0.991821i | \(-0.540740\pi\) |
0.553041 | + | 0.833154i | \(0.313467\pi\) | |||||||
\(384\) | −1.62463 | + | 2.52797i | −0.0829066 | + | 0.129005i | ||||
\(385\) | −7.35149 | − | 6.76976i | −0.374667 | − | 0.345019i | ||||
\(386\) | 13.0361 | + | 15.0445i | 0.663522 | + | 0.765745i | ||||
\(387\) | 63.0014 | − | 34.4013i | 3.20254 | − | 1.74872i | ||||
\(388\) | 2.24209 | − | 6.01128i | 0.113825 | − | 0.305177i | ||||
\(389\) | 3.06001 | − | 21.2829i | 0.155149 | − | 1.07908i | −0.752270 | − | 0.658855i | \(-0.771041\pi\) |
0.907418 | − | 0.420228i | \(-0.138050\pi\) | |||||||
\(390\) | −3.05181 | + | 1.83338i | −0.154535 | + | 0.0928367i | ||||
\(391\) | −29.7447 | + | 4.03576i | −1.50425 | + | 0.204097i | ||||
\(392\) | 4.36193 | + | 4.36193i | 0.220311 | + | 0.220311i | ||||
\(393\) | −7.12760 | − | 9.52136i | −0.359540 | − | 0.480289i | ||||
\(394\) | 15.3295 | − | 7.00076i | 0.772290 | − | 0.352693i | ||||
\(395\) | 31.4211 | + | 18.4113i | 1.58097 | + | 0.926373i | ||||
\(396\) | −22.3390 | + | 19.3569i | −1.12258 | + | 0.972720i | ||||
\(397\) | −34.0588 | − | 18.5975i | −1.70936 | − | 0.933383i | −0.963671 | − | 0.267092i | \(-0.913937\pi\) |
−0.745692 | − | 0.666291i | \(-0.767881\pi\) | |||||||
\(398\) | −0.371727 | − | 1.70880i | −0.0186330 | − | 0.0856545i | ||||
\(399\) | −7.97577 | − | 3.64241i | −0.399288 | − | 0.182349i | ||||
\(400\) | 4.66534 | − | 1.79849i | 0.233267 | − | 0.0899244i | ||||
\(401\) | 16.2340 | + | 25.2606i | 0.810687 | + | 1.26145i | 0.962022 | + | 0.272972i | \(0.0880066\pi\) |
−0.151335 | + | 0.988483i | \(0.548357\pi\) | |||||||
\(402\) | 9.29269 | + | 6.95642i | 0.463477 | + | 0.346955i | ||||
\(403\) | −3.29821 | − | 2.46901i | −0.164295 | − | 0.122990i | ||||
\(404\) | 9.37347 | + | 14.5854i | 0.466347 | + | 0.725651i | ||||
\(405\) | 16.9647 | − | 11.9169i | 0.842981 | − | 0.592155i | ||||
\(406\) | 1.24163 | + | 0.567034i | 0.0616211 | + | 0.0281414i | ||||
\(407\) | 6.06153 | + | 27.8644i | 0.300459 | + | 1.38119i | ||||
\(408\) | 16.5077 | + | 9.01391i | 0.817255 | + | 0.446255i | ||||
\(409\) | −17.0511 | + | 14.7749i | −0.843125 | + | 0.730572i | −0.965078 | − | 0.261964i | \(-0.915630\pi\) |
0.121953 | + | 0.992536i | \(0.461084\pi\) | |||||||
\(410\) | −0.811032 | − | 3.10655i | −0.0400540 | − | 0.153421i | ||||
\(411\) | −2.08480 | + | 0.952098i | −0.102836 | + | 0.0469635i | ||||
\(412\) | −10.8770 | − | 14.5300i | −0.535871 | − | 0.715839i | ||||
\(413\) | 8.84507 | + | 8.84507i | 0.435237 | + | 0.435237i | ||||
\(414\) | 15.4412 | + | 24.4518i | 0.758893 | + | 1.20174i | ||||
\(415\) | −6.73242 | − | 11.2067i | −0.330481 | − | 0.550114i | ||||
\(416\) | −0.0754034 | + | 0.524442i | −0.00369696 | + | 0.0257129i | ||||
\(417\) | −21.8848 | + | 58.6754i | −1.07170 | + | 2.87334i | ||||
\(418\) | −13.7684 | + | 7.51809i | −0.673433 | + | 0.367722i | ||||
\(419\) | −7.25412 | − | 8.37170i | −0.354387 | − | 0.408984i | 0.550364 | − | 0.834925i | \(-0.314489\pi\) |
−0.904751 | + | 0.425940i | \(0.859943\pi\) | |||||||
\(420\) | 6.12125 | − | 0.252168i | 0.298687 | − | 0.0123046i | ||||
\(421\) | 12.4338 | − | 19.3473i | 0.605985 | − | 0.942931i | −0.393734 | − | 0.919225i | \(-0.628817\pi\) |
0.999719 | − | 0.0237068i | \(-0.00754682\pi\) | |||||||
\(422\) | 19.6901 | − | 7.34402i | 0.958499 | − | 0.357502i | ||||
\(423\) | −0.253161 | − | 3.53966i | −0.0123091 | − | 0.172104i | ||||
\(424\) | 1.28358 | − | 0.824907i | 0.0623362 | − | 0.0400610i | ||||
\(425\) | −13.3112 | − | 28.3230i | −0.645689 | − | 1.37387i | ||||
\(426\) | −0.325707 | − | 2.26534i | −0.0157805 | − | 0.109756i | ||||
\(427\) | −5.15227 | − | 1.12081i | −0.249336 | − | 0.0542397i | ||||
\(428\) | −5.44653 | + | 0.389543i | −0.263268 | + | 0.0188293i | ||||
\(429\) | −3.24214 | + | 7.09930i | −0.156532 | + | 0.342758i | ||||
\(430\) | −19.3821 | + | 18.2444i | −0.934686 | + | 0.879821i | ||||
\(431\) | 3.51925 | + | 11.9855i | 0.169516 | + | 0.577319i | 0.999800 | + | 0.0199789i | \(0.00635991\pi\) |
−0.830284 | + | 0.557340i | \(0.811822\pi\) | |||||||
\(432\) | 0.649572 | − | 9.08220i | 0.0312526 | − | 0.436968i | ||||
\(433\) | −8.08756 | − | 14.8113i | −0.388663 | − | 0.711784i | 0.607953 | − | 0.793973i | \(-0.291991\pi\) |
−0.996617 | + | 0.0821889i | \(0.973809\pi\) | |||||||
\(434\) | 2.94519 | + | 6.44907i | 0.141374 | + | 0.309565i | ||||
\(435\) | −9.27262 | + | 3.90043i | −0.444588 | + | 0.187011i | ||||
\(436\) | − | 2.02537i | − | 0.0969976i | ||||||
\(437\) | 5.24913 | + | 14.4223i | 0.251100 | + | 0.689912i | ||||
\(438\) | 0.125977 | − | 0.125977i | 0.00601942 | − | 0.00601942i | ||||
\(439\) | 9.58365 | + | 1.37792i | 0.457403 | + | 0.0657646i | 0.367165 | − | 0.930156i | \(-0.380328\pi\) |
0.0902374 | + | 0.995920i | \(0.471237\pi\) | |||||||
\(440\) | 6.20192 | − | 9.03763i | 0.295665 | − | 0.430852i | ||||
\(441\) | −35.6910 | − | 10.4798i | −1.69957 | − | 0.499039i | ||||
\(442\) | 3.30780 | + | 0.236578i | 0.157336 | + | 0.0112529i | ||||
\(443\) | 12.0331 | − | 22.0369i | 0.571708 | − | 1.04701i | −0.418607 | − | 0.908168i | \(-0.637481\pi\) |
0.990315 | − | 0.138838i | \(-0.0443367\pi\) | |||||||
\(444\) | −14.7061 | − | 9.45106i | −0.697923 | − | 0.448528i | ||||
\(445\) | 9.18123 | − | 11.5217i | 0.435232 | − | 0.546181i | ||||
\(446\) | −12.1537 | + | 14.0261i | −0.575492 | + | 0.664153i | ||||
\(447\) | −1.85207 | + | 8.51381i | −0.0875998 | + | 0.402690i | ||||
\(448\) | 0.546394 | − | 0.729897i | 0.0258147 | − | 0.0344844i | ||||
\(449\) | 26.6011 | − | 3.82466i | 1.25538 | − | 0.180497i | 0.517652 | − | 0.855591i | \(-0.326806\pi\) |
0.737731 | + | 0.675094i | \(0.235897\pi\) | |||||||
\(450\) | −19.4937 | + | 23.0009i | −0.918944 | + | 1.08427i | ||||
\(451\) | −5.31928 | − | 4.60918i | −0.250475 | − | 0.217038i | ||||
\(452\) | −0.747523 | − | 2.00419i | −0.0351605 | − | 0.0942691i | ||||
\(453\) | −32.3887 | + | 7.04574i | −1.52176 | + | 0.331038i | ||||
\(454\) | −7.99555 | + | 2.34771i | −0.375250 | + | 0.110183i | ||||
\(455\) | 0.963280 | − | 0.488794i | 0.0451593 | − | 0.0229150i | ||||
\(456\) | 2.70935 | − | 9.22721i | 0.126877 | − | 0.432104i | ||||
\(457\) | −16.6265 | − | 6.20136i | −0.777755 | − | 0.290087i | −0.0709347 | − | 0.997481i | \(-0.522598\pi\) |
−0.706820 | + | 0.707393i | \(0.749871\pi\) | |||||||
\(458\) | −9.07838 | + | 6.79599i | −0.424205 | + | 0.317556i | ||||
\(459\) | −56.9909 | −2.66011 | ||||||||
\(460\) | −7.83062 | − | 7.32676i | −0.365104 | − | 0.341612i | ||||
\(461\) | −17.7750 | −0.827863 | −0.413932 | − | 0.910308i | \(-0.635845\pi\) | ||||
−0.413932 | + | 0.910308i | \(0.635845\pi\) | |||||||
\(462\) | 10.7515 | − | 8.04851i | 0.500207 | − | 0.374450i | ||||
\(463\) | −12.0021 | − | 4.47656i | −0.557786 | − | 0.208043i | 0.0547308 | − | 0.998501i | \(-0.482570\pi\) |
−0.612516 | + | 0.790458i | \(0.709843\pi\) | |||||||
\(464\) | −0.421780 | + | 1.43645i | −0.0195806 | + | 0.0666855i | ||||
\(465\) | −49.6655 | − | 16.2289i | −2.30318 | − | 0.752598i | ||||
\(466\) | 16.5625 | − | 4.86319i | 0.767243 | − | 0.225283i | ||||
\(467\) | 6.80762 | − | 1.48091i | 0.315019 | − | 0.0685282i | −0.0522760 | − | 0.998633i | \(-0.516648\pi\) |
0.367295 | + | 0.930104i | \(0.380284\pi\) | |||||||
\(468\) | −1.11652 | − | 2.99350i | −0.0516111 | − | 0.138375i | ||||
\(469\) | −2.66175 | − | 2.30642i | −0.122908 | − | 0.106501i | ||||
\(470\) | 0.422395 | + | 1.24629i | 0.0194836 | + | 0.0574871i | ||||
\(471\) | 11.5224 | − | 1.65668i | 0.530926 | − | 0.0763356i | ||||
\(472\) | −8.22179 | + | 10.9830i | −0.378439 | + | 0.505535i | ||||
\(473\) | −12.4036 | + | 57.0184i | −0.570318 | + | 2.62171i | ||||
\(474\) | −32.0497 | + | 36.9874i | −1.47209 | + | 1.69889i | ||||
\(475\) | −12.7039 | + | 9.72879i | −0.582896 | + | 0.446388i | ||||
\(476\) | −4.80077 | − | 3.08527i | −0.220043 | − | 0.141413i | ||||
\(477\) | −4.40941 | + | 8.07523i | −0.201893 | + | 0.369739i | ||||
\(478\) | −13.1624 | − | 0.941394i | −0.602035 | − | 0.0430584i | ||||
\(479\) | 16.1425 | + | 4.73988i | 0.737572 | + | 0.216571i | 0.628877 | − | 0.777505i | \(-0.283515\pi\) |
0.108695 | + | 0.994075i | \(0.465333\pi\) | |||||||
\(480\) | 1.22922 | + | 6.60601i | 0.0561060 | + | 0.301522i | ||||
\(481\) | −3.05087 | − | 0.438649i | −0.139108 | − | 0.0200007i | ||||
\(482\) | −14.7403 | + | 14.7403i | −0.671404 | + | 0.671404i | ||||
\(483\) | −6.20542 | − | 11.5821i | −0.282356 | − | 0.527006i | ||||
\(484\) | − | 13.0285i | − | 0.592206i | ||||||
\(485\) | −5.56249 | − | 13.2239i | −0.252579 | − | 0.600466i | ||||
\(486\) | 0.226398 | + | 0.495742i | 0.0102696 | + | 0.0224873i | ||||
\(487\) | −9.45494 | − | 17.3154i | −0.428444 | − | 0.784637i | 0.570894 | − | 0.821024i | \(-0.306597\pi\) |
−0.999338 | + | 0.0363872i | \(0.988415\pi\) | |||||||
\(488\) | 0.412561 | − | 5.76836i | 0.0186758 | − | 0.261122i | ||||
\(489\) | 12.6935 | + | 43.2301i | 0.574019 | + | 1.95493i | ||||
\(490\) | 13.7873 | + | 0.416885i | 0.622849 | + | 0.0188329i | ||||
\(491\) | 3.66479 | − | 8.02476i | 0.165389 | − | 0.362152i | −0.808732 | − | 0.588177i | \(-0.799846\pi\) |
0.974122 | + | 0.226025i | \(0.0725730\pi\) | |||||||
\(492\) | 4.30377 | − | 0.307811i | 0.194029 | − | 0.0138772i | ||||
\(493\) | 9.15619 | + | 1.99181i | 0.412374 | + | 0.0897065i | ||||
\(494\) | −0.241309 | − | 1.67834i | −0.0108570 | − | 0.0755122i | ||||
\(495\) | −6.70555 | + | 65.7544i | −0.301392 | + | 2.95544i | ||||
\(496\) | −6.54155 | + | 4.20400i | −0.293724 | + | 0.188765i | ||||
\(497\) | 0.0495378 | + | 0.692629i | 0.00222207 | + | 0.0310687i | ||||
\(498\) | 16.4614 | − | 6.13979i | 0.737654 | − | 0.275131i | ||||
\(499\) | 2.69017 | − | 4.18599i | 0.120429 | − | 0.187390i | −0.775805 | − | 0.630972i | \(-0.782656\pi\) |
0.896234 | + | 0.443582i | \(0.146292\pi\) | |||||||
\(500\) | 4.83971 | − | 10.0786i | 0.216439 | − | 0.450726i | ||||
\(501\) | 3.87321 | + | 4.46993i | 0.173042 | + | 0.199702i | ||||
\(502\) | −12.5600 | + | 6.85827i | −0.560580 | + | 0.306100i | ||||
\(503\) | −3.75081 | + | 10.0563i | −0.167240 | + | 0.448389i | −0.993352 | − | 0.115118i | \(-0.963275\pi\) |
0.826111 | + | 0.563507i | \(0.190548\pi\) | |||||||
\(504\) | −0.782440 | + | 5.44199i | −0.0348526 | + | 0.242405i | ||||
\(505\) | 37.6159 | + | 9.38194i | 1.67389 | + | 0.417491i | ||||
\(506\) | −23.2420 | − | 3.53035i | −1.03323 | − | 0.156943i | ||||
\(507\) | 27.0267 | + | 27.0267i | 1.20030 | + | 1.20030i | ||||
\(508\) | −3.56565 | − | 4.76314i | −0.158200 | − | 0.211330i | ||||
\(509\) | −1.47240 | + | 0.672421i | −0.0652628 | + | 0.0298045i | −0.447779 | − | 0.894144i | \(-0.647785\pi\) |
0.382516 | + | 0.923949i | \(0.375058\pi\) | |||||||
\(510\) | 40.6929 | − | 10.6238i | 1.80191 | − | 0.470429i | ||||
\(511\) | −0.0408524 | + | 0.0353988i | −0.00180720 | + | 0.00156595i | ||||
\(512\) | 0.877679 | + | 0.479249i | 0.0387883 | + | 0.0211800i | ||||
\(513\) | 6.19405 | + | 28.4736i | 0.273474 | + | 1.25714i | ||||
\(514\) | 12.3312 | + | 5.63149i | 0.543908 | + | 0.248394i | ||||
\(515\) | −39.9790 | − | 6.98732i | −1.76168 | − | 0.307898i | ||||
\(516\) | −19.3395 | − | 30.0929i | −0.851375 | − | 1.32477i | ||||
\(517\) | 2.30937 | + | 1.72877i | 0.101566 | + | 0.0760313i | ||||
\(518\) | 4.24608 | + | 3.17857i | 0.186562 | + | 0.139658i | ||||
\(519\) | −22.5573 | − | 35.0998i | −0.990155 | − | 1.54071i | ||||
\(520\) | 0.681003 | + | 0.969464i | 0.0298640 | + | 0.0425138i | ||||
\(521\) | −17.0200 | − | 7.77279i | −0.745661 | − | 0.340532i | 0.00608768 | − | 0.999981i | \(-0.498062\pi\) |
−0.751749 | + | 0.659449i | \(0.770789\pi\) | |||||||
\(522\) | −1.91895 | − | 8.82127i | −0.0839902 | − | 0.386097i | ||||
\(523\) | −0.0634313 | − | 0.0346361i | −0.00277366 | − | 0.00151453i | 0.477862 | − | 0.878435i | \(-0.341412\pi\) |
−0.480635 | + | 0.876921i | \(0.659594\pi\) | |||||||
\(524\) | −2.99122 | + | 2.59190i | −0.130672 | + | 0.113228i | ||||
\(525\) | 9.58017 | − | 9.79220i | 0.418113 | − | 0.427367i | ||||
\(526\) | −12.5389 | + | 5.72630i | −0.546720 | + | 0.249679i | ||||
\(527\) | 29.1667 | + | 38.9622i | 1.27052 | + | 1.69722i | ||||
\(528\) | 10.4158 | + | 10.4158i | 0.453291 | + | 0.453291i | ||||
\(529\) | −6.82960 | + | 21.9626i | −0.296939 | + | 0.954896i | ||||
\(530\) | 0.825653 | − | 3.31037i | 0.0358641 | − | 0.143793i | ||||
\(531\) | 11.7737 | − | 81.8876i | 0.510933 | − | 3.55362i | ||||
\(532\) | −1.01968 | + | 2.73387i | −0.0442087 | + | 0.118528i | ||||
\(533\) | 0.667709 | − | 0.364597i | 0.0289217 | − | 0.0157924i | ||||
\(534\) | 12.9653 | + | 14.9628i | 0.561065 | + | 0.647504i | ||||
\(535\) | −8.27103 | + | 8.98176i | −0.357588 | + | 0.388316i | ||||
\(536\) | 2.08843 | − | 3.24967i | 0.0902066 | − | 0.140364i | ||||
\(537\) | −34.1623 | + | 12.7419i | −1.47421 | + | 0.549852i | ||||
\(538\) | 1.32048 | + | 18.4627i | 0.0569300 | + | 0.795985i | ||||
\(539\) | 25.4381 | − | 16.3481i | 1.09570 | − | 0.704161i | ||||
\(540\) | −12.8620 | − | 15.7832i | −0.553493 | − | 0.679202i | ||||
\(541\) | −3.62220 | − | 25.1929i | −0.155730 | − | 1.08313i | −0.906391 | − | 0.422440i | \(-0.861174\pi\) |
0.750660 | − | 0.660688i | \(-0.229735\pi\) | |||||||
\(542\) | −13.0492 | − | 2.83869i | −0.560513 | − | 0.121932i | ||||
\(543\) | 19.1637 | − | 1.37061i | 0.822392 | − | 0.0588187i | ||||
\(544\) | 2.60009 | − | 5.69340i | 0.111478 | − | 0.244103i | ||||
\(545\) | −3.10414 | − | 3.29771i | −0.132967 | − | 0.141258i | ||||
\(546\) | 0.408979 | + | 1.39286i | 0.0175027 | + | 0.0596087i | ||||
\(547\) | 1.13544 | − | 15.8755i | 0.0485479 | − | 0.678788i | −0.913661 | − | 0.406477i | \(-0.866757\pi\) |
0.962209 | − | 0.272312i | \(-0.0877882\pi\) | |||||||
\(548\) | 0.365523 | + | 0.669406i | 0.0156144 | + | 0.0285956i | ||||
\(549\) | 14.4866 | + | 31.7212i | 0.618272 | + | 1.35383i | ||||
\(550\) | −3.75336 | − | 24.2204i | −0.160044 | − | 1.03276i | ||||
\(551\) | − | 4.79106i | − | 0.204106i | ||||||
\(552\) | 11.6052 | − | 8.54459i | 0.493952 | − | 0.363682i | ||||
\(553\) | 10.5001 | − | 10.5001i | 0.446509 | − | 0.446509i | ||||
\(554\) | 3.54014 | + | 0.508996i | 0.150406 | + | 0.0216252i | ||||
\(555\) | −38.4296 | + | 7.15082i | −1.63124 | + | 0.303535i | ||||
\(556\) | 19.9957 | + | 5.87125i | 0.848004 | + | 0.248997i | ||||
\(557\) | 37.8048 | + | 2.70385i | 1.60184 | + | 0.114566i | 0.843440 | − | 0.537223i | \(-0.180527\pi\) |
0.758401 | + | 0.651789i | \(0.225981\pi\) | |||||||
\(558\) | 22.4718 | − | 41.1540i | 0.951306 | − | 1.74219i | ||||
\(559\) | −5.30590 | − | 3.40989i | −0.224416 | − | 0.144223i | ||||
\(560\) | −0.229021 | − | 2.02584i | −0.00967792 | − | 0.0856074i | ||||
\(561\) | 60.3760 | − | 69.6776i | 2.54908 | − | 2.94179i | ||||
\(562\) | −2.73735 | + | 12.5834i | −0.115468 | + | 0.530799i | ||||
\(563\) | 2.01633 | − | 2.69350i | 0.0849783 | − | 0.113518i | −0.756037 | − | 0.654528i | \(-0.772867\pi\) |
0.841016 | + | 0.541011i | \(0.181958\pi\) | |||||||
\(564\) | −1.75045 | + | 0.251676i | −0.0737071 | + | 0.0105975i | ||||
\(565\) | −4.28880 | − | 2.11755i | −0.180431 | − | 0.0890859i | ||||
\(566\) | 17.5175 | + | 15.1790i | 0.736317 | + | 0.638022i | ||||
\(567\) | −2.95417 | − | 7.92042i | −0.124063 | − | 0.332627i | ||||
\(568\) | −0.744201 | + | 0.161891i | −0.0312260 | + | 0.00679280i | ||||
\(569\) | −19.6448 | + | 5.76822i | −0.823551 | + | 0.241817i | −0.666245 | − | 0.745733i | \(-0.732099\pi\) |
−0.157307 | + | 0.987550i | \(0.550281\pi\) | |||||||
\(570\) | −9.73052 | − | 19.1762i | −0.407567 | − | 0.803203i | ||||
\(571\) | −1.00427 | + | 3.42023i | −0.0420274 | + | 0.143132i | −0.977834 | − | 0.209382i | \(-0.932855\pi\) |
0.935807 | + | 0.352514i | \(0.114673\pi\) | |||||||
\(572\) | 2.43344 | + | 0.907626i | 0.101747 | + | 0.0379497i | ||||
\(573\) | 51.8782 | − | 38.8355i | 2.16724 | − | 1.62238i | ||||
\(574\) | −1.30915 | −0.0546428 | ||||||||
\(575\) | −23.9790 | + | 0.0719746i | −0.999995 | + | 0.00300155i | ||||
\(576\) | −6.03008 | −0.251253 | ||||||||
\(577\) | 5.60018 | − | 4.19224i | 0.233138 | − | 0.174525i | −0.476321 | − | 0.879271i | \(-0.658030\pi\) |
0.709460 | + | 0.704746i | \(0.248939\pi\) | |||||||
\(578\) | −20.7772 | − | 7.74948i | −0.864216 | − | 0.322336i | ||||
\(579\) | −16.8532 | + | 57.3968i | −0.700396 | + | 2.38533i | ||||
\(580\) | 1.51480 | + | 2.98526i | 0.0628988 | + | 0.123956i | ||||
\(581\) | −5.11476 | + | 1.50183i | −0.212196 | + | 0.0623064i | ||||
\(582\) | 18.8389 | − | 4.09816i | 0.780899 | − | 0.169874i | ||||
\(583\) | −2.61374 | − | 7.00771i | −0.108250 | − | 0.290230i | ||||
\(584\) | −0.0448063 | − | 0.0388249i | −0.00185410 | − | 0.00160659i | ||||
\(585\) | −6.40585 | − | 3.16282i | −0.264849 | − | 0.130767i | ||||
\(586\) | 9.90386 | − | 1.42396i | 0.409125 | − | 0.0588233i | ||||
\(587\) | 23.4378 | − | 31.3092i | 0.967381 | − | 1.29227i | 0.0110633 | − | 0.999939i | \(-0.496478\pi\) |
0.956317 | − | 0.292330i | \(-0.0944307\pi\) | |||||||
\(588\) | −3.94032 | + | 18.1134i | −0.162496 | + | 0.746983i | ||||
\(589\) | 16.2962 | − | 18.8068i | 0.671472 | − | 0.774920i | ||||
\(590\) | 3.44617 | + | 30.4836i | 0.141876 | + | 1.25499i | ||||
\(591\) | 42.6026 | + | 27.3790i | 1.75243 | + | 1.12622i | ||||
\(592\) | −2.78796 | + | 5.10578i | −0.114585 | + | 0.209846i | ||||
\(593\) | 21.0267 | + | 1.50386i | 0.863464 | + | 0.0617561i | 0.496042 | − | 0.868298i | \(-0.334786\pi\) |
0.367421 | + | 0.930055i | \(0.380241\pi\) | |||||||
\(594\) | −42.8257 | − | 12.5748i | −1.75716 | − | 0.515949i | ||||
\(595\) | −12.5452 | + | 2.33436i | −0.514303 | + | 0.0956995i | ||||
\(596\) | 2.86996 | + | 0.412638i | 0.117558 | + | 0.0169023i | ||||
\(597\) | 3.71589 | − | 3.71589i | 0.152081 | − | 0.152081i | ||||
\(598\) | 1.23545 | − | 2.22044i | 0.0505212 | − | 0.0908005i | ||||
\(599\) | 0.455876i | 0.0186266i | 0.999957 | + | 0.00931330i | \(0.00296456\pi\) | ||||
−0.999957 | + | 0.00931330i | \(0.997035\pi\) | |||||||
\(600\) | 12.1260 | + | 8.87199i | 0.495042 | + | 0.362198i | ||||
\(601\) | −10.1291 | − | 22.1796i | −0.413174 | − | 0.904725i | −0.995763 | − | 0.0919576i | \(-0.970688\pi\) |
0.582589 | − | 0.812767i | \(-0.302040\pi\) | |||||||
\(602\) | 5.20152 | + | 9.52588i | 0.211998 | + | 0.388246i | ||||
\(603\) | −1.66174 | + | 23.2342i | −0.0676713 | + | 0.946168i | ||||
\(604\) | 3.10760 | + | 10.5835i | 0.126447 | + | 0.430637i | ||||
\(605\) | −19.9679 | − | 21.2131i | −0.811811 | − | 0.862435i | ||||
\(606\) | −21.6431 | + | 47.3918i | −0.879191 | + | 1.92516i | ||||
\(607\) | −17.4135 | + | 1.24544i | −0.706793 | + | 0.0505508i | −0.420108 | − | 0.907474i | \(-0.638008\pi\) |
−0.286685 | + | 0.958025i | \(0.592553\pi\) | |||||||
\(608\) | −3.12711 | − | 0.680261i | −0.126821 | − | 0.0275882i | ||||
\(609\) | 0.583744 | + | 4.06003i | 0.0236545 | + | 0.164521i | ||||
\(610\) | −8.16903 | − | 10.0244i | −0.330754 | − | 0.405875i | ||||
\(611\) | −0.262309 | + | 0.168576i | −0.0106119 | + | 0.00681985i | ||||
\(612\) | 2.69251 | + | 37.6462i | 0.108838 | + | 1.52176i | ||||
\(613\) | 26.8172 | − | 10.0023i | 1.08313 | − | 0.403988i | 0.256395 | − | 0.966572i | \(-0.417465\pi\) |
0.826740 | + | 0.562584i | \(0.190193\pi\) | |||||||
\(614\) | 2.04599 | − | 3.18363i | 0.0825696 | − | 0.128481i | ||||
\(615\) | 6.53565 | − | 7.09726i | 0.263543 | − | 0.286189i | ||||
\(616\) | −2.92678 | − | 3.37769i | −0.117923 | − | 0.136091i | ||||
\(617\) | −2.27542 | + | 1.24247i | −0.0916048 | + | 0.0500200i | −0.524398 | − | 0.851473i | \(-0.675710\pi\) |
0.432794 | + | 0.901493i | \(0.357528\pi\) | |||||||
\(618\) | 19.0603 | − | 51.1025i | 0.766716 | − | 2.05565i | ||||
\(619\) | −1.69746 | + | 11.8061i | −0.0682267 | + | 0.474527i | 0.926851 | + | 0.375429i | \(0.122505\pi\) |
−0.995078 | + | 0.0990978i | \(0.968404\pi\) | |||||||
\(620\) | −4.20780 | + | 16.8707i | −0.168989 | + | 0.677545i | ||||
\(621\) | −18.4553 | + | 39.5765i | −0.740585 | + | 1.58815i | ||||
\(622\) | −13.3249 | − | 13.3249i | −0.534280 | − | 0.534280i | ||||
\(623\) | −3.59994 | − | 4.80896i | −0.144229 | − | 0.192667i | ||||
\(624\) | −1.44828 | + | 0.661407i | −0.0579775 | + | 0.0264775i | ||||
\(625\) | −7.56665 | − | 23.8274i | −0.302666 | − | 0.953097i | ||||
\(626\) | 1.41832 | − | 1.22898i | 0.0566874 | − | 0.0491199i | ||||
\(627\) | −41.3740 | − | 22.5919i | −1.65232 | − | 0.902235i | ||||
\(628\) | −0.823444 | − | 3.78531i | −0.0328590 | − | 0.151050i | ||||
\(629\) | 33.1206 | + | 15.1257i | 1.32060 | + | 0.603100i | ||||
\(630\) | 7.06658 | + | 10.0599i | 0.281539 | + | 0.400794i | ||||
\(631\) | −7.65917 | − | 11.9179i | −0.304907 | − | 0.474444i | 0.654661 | − | 0.755923i | \(-0.272812\pi\) |
−0.959568 | + | 0.281479i | \(0.909175\pi\) | |||||||
\(632\) | 13.0381 | + | 9.76018i | 0.518627 | + | 0.388239i | ||||
\(633\) | 50.5546 | + | 37.8447i | 2.00937 | + | 1.50419i | ||||
\(634\) | 3.14204 | + | 4.88911i | 0.124786 | + | 0.194171i | ||||
\(635\) | −13.1057 | − | 2.29055i | −0.520085 | − | 0.0908978i | ||||
\(636\) | 4.17069 | + | 1.90469i | 0.165379 | + | 0.0755259i | ||||
\(637\) | 0.694747 | + | 3.19370i | 0.0275269 | + | 0.126539i | ||||
\(638\) | 6.44092 | + | 3.51701i | 0.254998 | + | 0.139240i | ||||
\(639\) | 3.47081 | − | 3.00748i | 0.137303 | − | 0.118974i | ||||
\(640\) | 2.16355 | − | 0.564842i | 0.0855219 | − | 0.0223273i | ||||
\(641\) | 8.79116 | − | 4.01479i | 0.347230 | − | 0.158575i | −0.234163 | − | 0.972197i | \(-0.575235\pi\) |
0.581393 | + | 0.813623i | \(0.302508\pi\) | |||||||
\(642\) | −9.83335 | − | 13.1358i | −0.388091 | − | 0.518429i | ||||
\(643\) | 4.13771 | + | 4.13771i | 0.163175 | + | 0.163175i | 0.783972 | − | 0.620796i | \(-0.213191\pi\) |
−0.620796 | + | 0.783972i | \(0.713191\pi\) | |||||||
\(644\) | −3.69714 | + | 2.33472i | −0.145688 | + | 0.0920010i | ||||
\(645\) | −77.6100 | − | 19.3570i | −3.05589 | − | 0.762182i | ||||
\(646\) | −2.85062 | + | 19.8265i | −0.112156 | + | 0.780063i | ||||
\(647\) | 0.877784 | − | 2.35343i | 0.0345093 | − | 0.0925229i | −0.918552 | − | 0.395299i | \(-0.870641\pi\) |
0.953062 | + | 0.302776i | \(0.0979136\pi\) | |||||||
\(648\) | 8.13748 | − | 4.44340i | 0.319670 | − | 0.174553i | ||||
\(649\) | 44.0404 | + | 50.8253i | 1.72874 | + | 1.99507i | ||||
\(650\) | 2.59464 | + | 0.534758i | 0.101770 | + | 0.0209749i | ||||
\(651\) | −11.5182 | + | 17.9227i | −0.451435 | + | 0.702447i | ||||
\(652\) | 14.0480 | − | 5.23963i | 0.550162 | − | 0.205200i | ||||
\(653\) | 2.71782 | + | 38.0001i | 0.106357 | + | 1.48706i | 0.718065 | + | 0.695976i | \(0.245028\pi\) |
−0.611709 | + | 0.791083i | \(0.709518\pi\) | |||||||
\(654\) | 5.12008 | − | 3.29047i | 0.200211 | − | 0.128668i | ||||
\(655\) | −0.897879 | + | 8.80457i | −0.0350830 | + | 0.344023i | ||||
\(656\) | −0.204344 | − | 1.42124i | −0.00797828 | − | 0.0554902i | ||||
\(657\) | 0.349337 | + | 0.0759935i | 0.0136289 | + | 0.00296479i | ||||
\(658\) | 0.535200 | − | 0.0382783i | 0.0208643 | − | 0.00149224i | ||||
\(659\) | 8.84239 | − | 19.3621i | 0.344451 | − | 0.754242i | −0.655549 | − | 0.755153i | \(-0.727563\pi\) |
1.00000 | 0.000910993i | \(0.000289978\pi\) | ||||||||
\(660\) | 32.9227 | + | 0.995478i | 1.28152 | + | 0.0387489i | ||||
\(661\) | 11.8137 | + | 40.2336i | 0.459498 | + | 1.56491i | 0.785081 | + | 0.619393i | \(0.212621\pi\) |
−0.325583 | + | 0.945514i | \(0.605561\pi\) | |||||||
\(662\) | 0.826830 | − | 11.5606i | 0.0321357 | − | 0.449315i | ||||
\(663\) | 4.77588 | + | 8.74638i | 0.185480 | + | 0.339681i | ||||
\(664\) | −2.42878 | − | 5.31828i | −0.0942548 | − | 0.206389i | ||||
\(665\) | 2.52976 | + | 6.01408i | 0.0980999 | + | 0.233216i | ||||
\(666\) | − | 35.0791i | − | 1.35929i | ||||||
\(667\) | 4.34821 | − | 5.71337i | 0.168364 | − | 0.221223i | ||||
\(668\) | 1.39175 | − | 1.39175i | 0.0538485 | − | 0.0538485i | ||||
\(669\) | −55.2027 | − | 7.93695i | −2.13426 | − | 0.306860i | ||||
\(670\) | −1.58014 | − | 8.49192i | −0.0610462 | − | 0.328071i | ||||
\(671\) | −27.1998 | − | 7.98659i | −1.05004 | − | 0.308319i | ||||
\(672\) | 2.73285 | + | 0.195457i | 0.105422 | + | 0.00753993i | ||||
\(673\) | −2.14331 | + | 3.92517i | −0.0826184 | + | 0.151304i | −0.915722 | − | 0.401813i | \(-0.868380\pi\) |
0.833103 | + | 0.553117i | \(0.186562\pi\) | |||||||
\(674\) | 12.7763 | + | 8.21080i | 0.492123 | + | 0.316268i | ||||
\(675\) | −45.1318 | − | 5.98559i | −1.73713 | − | 0.230385i | ||||
\(676\) | 8.32935 | − | 9.61259i | 0.320360 | − | 0.369715i | ||||
\(677\) | −0.113598 | + | 0.522203i | −0.00436593 | + | 0.0200699i | −0.979278 | − | 0.202519i | \(-0.935087\pi\) |
0.974912 | + | 0.222589i | \(0.0714508\pi\) | |||||||
\(678\) | 3.85209 | − | 5.14578i | 0.147938 | − | 0.197623i | ||||
\(679\) | −5.79009 | + | 0.832490i | −0.222203 | + | 0.0319480i | ||||
\(680\) | −4.49240 | − | 13.2550i | −0.172276 | − | 0.508306i | ||||
\(681\) | −18.9247 | − | 16.3984i | −0.725198 | − | 0.628388i | ||||
\(682\) | 13.3205 | + | 35.7136i | 0.510067 | + | 1.36754i | ||||
\(683\) | 16.8978 | − | 3.67589i | 0.646575 | − | 0.140654i | 0.122693 | − | 0.992445i | \(-0.460847\pi\) |
0.523882 | + | 0.851791i | \(0.324483\pi\) | |||||||
\(684\) | 18.5160 | − | 5.43679i | 0.707978 | − | 0.207881i | ||||
\(685\) | 1.62110 | + | 0.529717i | 0.0619390 | + | 0.0202394i | ||||
\(686\) | 3.38266 | − | 11.5203i | 0.129150 | − | 0.439846i | ||||
\(687\) | −31.9291 | − | 11.9089i | −1.21817 | − | 0.454354i | ||||
\(688\) | −9.52961 | + | 7.13378i | −0.363313 | + | 0.271973i | ||||
\(689\) | 0.808420 | 0.0307984 | ||||||||
\(690\) | 5.80001 | − | 31.6989i | 0.220803 | − | 1.20676i | ||||
\(691\) | 42.2991 | 1.60913 | 0.804566 | − | 0.593863i | \(-0.202398\pi\) | ||||
0.804566 | + | 0.593863i | \(0.202398\pi\) | |||||||
\(692\) | −11.1152 | + | 8.32071i | −0.422535 | + | 0.316306i | ||||
\(693\) | 25.2511 | + | 9.41818i | 0.959211 | + | 0.357767i | ||||
\(694\) | 8.35263 | − | 28.4465i | 0.317062 | − | 1.07981i | ||||
\(695\) | 41.5554 | − | 21.0863i | 1.57629 | − | 0.799850i | ||||
\(696\) | −4.31654 | + | 1.26745i | −0.163618 | + | 0.0480426i | ||||
\(697\) | −8.78167 | + | 1.91034i | −0.332629 | + | 0.0723591i | ||||
\(698\) | 0.759344 | + | 2.03588i | 0.0287416 | + | 0.0770592i | ||||
\(699\) | 39.2019 | + | 33.9687i | 1.48275 | + | 1.28481i | ||||
\(700\) | −3.47776 | − | 2.94748i | −0.131447 | − | 0.111404i | ||||
\(701\) | 7.56341 | − | 1.08745i | 0.285666 | − | 0.0410726i | 0.00200770 | − | 0.999998i | \(-0.499361\pi\) |
0.283658 | + | 0.958925i | \(0.408452\pi\) | |||||||
\(702\) | 2.89113 | − | 3.86210i | 0.109119 | − | 0.145766i | ||||
\(703\) | 3.95732 | − | 18.1915i | 0.149253 | − | 0.686106i | ||||
\(704\) | 3.21006 | − | 3.70460i | 0.120984 | − | 0.139622i | ||||
\(705\) | −2.46436 | + | 3.09257i | −0.0928130 | + | 0.116473i | ||||
\(706\) | −22.2260 | − | 14.2838i | −0.836485 | − | 0.537576i | ||||
\(707\) | 7.57584 | − | 13.8741i | 0.284919 | − | 0.521790i | ||||
\(708\) | −41.1222 | − | 2.94112i | −1.54547 | − | 0.110534i | ||||
\(709\) | −42.0954 | − | 12.3603i | −1.58093 | − | 0.464202i | −0.630769 | − | 0.775971i | \(-0.717260\pi\) |
−0.950158 | + | 0.311769i | \(0.899079\pi\) | |||||||
\(710\) | −0.963592 | + | 1.40418i | −0.0361630 | + | 0.0526978i | ||||
\(711\) | −97.2097 | − | 13.9766i | −3.64565 | − | 0.524165i | ||||
\(712\) | 4.65880 | − | 4.65880i | 0.174596 | − | 0.174596i | ||||
\(713\) | 36.5017 | − | 7.63732i | 1.36700 | − | 0.286020i | ||||
\(714\) | − | 17.1486i | − | 0.641772i | ||||||
\(715\) | 5.35319 | − | 2.25176i | 0.200198 | − | 0.0842111i | ||||
\(716\) | 5.04042 | + | 11.0370i | 0.188370 | + | 0.412472i | ||||
\(717\) | −19.0042 | − | 34.8037i | −0.709726 | − | 1.29977i | ||||
\(718\) | −1.18869 | + | 16.6200i | −0.0443613 | + | 0.620253i | ||||
\(719\) | 2.38659 | + | 8.12799i | 0.0890049 | + | 0.303123i | 0.991949 | − | 0.126634i | \(-0.0404174\pi\) |
−0.902945 | + | 0.429757i | \(0.858599\pi\) | |||||||
\(720\) | −9.81819 | + | 9.24187i | −0.365902 | + | 0.344424i | ||||
\(721\) | −6.87449 | + | 15.0530i | −0.256019 | + | 0.560604i | ||||
\(722\) | −8.73613 | + | 0.624820i | −0.325125 | + | 0.0232534i | ||||
\(723\) | −61.2108 | − | 13.3156i | −2.27645 | − | 0.495212i | ||||
\(724\) | −0.909895 | − | 6.32846i | −0.0338160 | − | 0.235195i | ||||
\(725\) | 7.04171 | + | 2.53899i | 0.261523 | + | 0.0942955i | ||||
\(726\) | 32.9358 | − | 21.1665i | 1.22236 | − | 0.785564i | ||||
\(727\) | −1.24353 | − | 17.3869i | −0.0461201 | − | 0.644844i | −0.966964 | − | 0.254912i | \(-0.917953\pi\) |
0.920844 | − | 0.389931i | \(-0.127501\pi\) | |||||||
\(728\) | 0.452621 | − | 0.168819i | 0.0167753 | − | 0.00625685i | ||||
\(729\) | 14.1524 | − | 22.0215i | 0.524163 | − | 0.815613i | ||||
\(730\) | −0.132458 | + | 0.00545668i | −0.00490249 | + | 0.000201961i | ||||
\(731\) | 48.7918 | + | 56.3087i | 1.80463 | + | 2.08265i | ||||
\(732\) | 15.2525 | − | 8.32851i | 0.563750 | − | 0.307831i | ||||
\(733\) | −7.18203 | + | 19.2558i | −0.265274 | + | 0.711228i | 0.734204 | + | 0.678929i | \(0.237556\pi\) |
−0.999478 | + | 0.0322992i | \(0.989717\pi\) | |||||||
\(734\) | −4.24167 | + | 29.5014i | −0.156563 | + | 1.08892i | ||||
\(735\) | 21.3455 | + | 35.5313i | 0.787339 | + | 1.31059i | ||||
\(736\) | −3.11171 | − | 3.64928i | −0.114699 | − | 0.134514i | ||||
\(737\) | −13.3894 | − | 13.3894i | −0.493204 | − | 0.493204i | ||||
\(738\) | 5.18874 | + | 6.93134i | 0.191000 | + | 0.255146i | ||||
\(739\) | 42.3232 | − | 19.3284i | 1.55688 | − | 0.711005i | 0.563530 | − | 0.826096i | \(-0.309443\pi\) |
0.993355 | + | 0.115090i | \(0.0367158\pi\) | |||||||
\(740\) | 3.28589 | + | 12.5862i | 0.120792 | + | 0.462676i | ||||
\(741\) | 3.85077 | − | 3.33671i | 0.141461 | − | 0.122577i | ||||
\(742\) | −1.22098 | − | 0.666708i | −0.0448237 | − | 0.0244756i | ||||
\(743\) | −7.19844 | − | 33.0907i | −0.264085 | − | 1.21398i | −0.897797 | − | 0.440410i | \(-0.854833\pi\) |
0.633712 | − | 0.773569i | \(-0.281531\pi\) | |||||||
\(744\) | −21.2552 | − | 9.70692i | −0.779253 | − | 0.355873i | ||||
\(745\) | 5.30530 | − | 3.72672i | 0.194371 | − | 0.136537i | ||||
\(746\) | −7.63109 | − | 11.8742i | −0.279394 | − | 0.434746i | ||||
\(747\) | 28.2236 | + | 21.1279i | 1.03265 | + | 0.773029i | ||||
\(748\) | −24.5614 | − | 18.3865i | −0.898055 | − | 0.672275i | ||||
\(749\) | 2.69162 | + | 4.18825i | 0.0983498 | + | 0.153035i | ||||
\(750\) | 33.3411 | − | 4.13925i | 1.21744 | − | 0.151144i | ||||
\(751\) | 29.1447 | + | 13.3100i | 1.06351 | + | 0.485687i | 0.868794 | − | 0.495173i | \(-0.164895\pi\) |
0.194712 | + | 0.980860i | \(0.437623\pi\) | |||||||
\(752\) | 0.125095 | + | 0.575050i | 0.00456173 | + | 0.0209699i | ||||
\(753\) | −37.7429 | − | 20.6092i | −1.37543 | − | 0.751040i | ||||
\(754\) | −0.599470 | + | 0.519443i | −0.0218314 | + | 0.0189170i | ||||
\(755\) | 21.2804 | + | 12.4693i | 0.774474 | + | 0.453805i | ||||
\(756\) | −7.55167 | + | 3.44873i | −0.274652 | + | 0.125429i | ||||
\(757\) | 20.8944 | + | 27.9116i | 0.759419 | + | 1.01446i | 0.999049 | + | 0.0436006i | \(0.0138829\pi\) |
−0.239630 | + | 0.970864i | \(0.577026\pi\) | |||||||
\(758\) | −8.05951 | − | 8.05951i | −0.292735 | − | 0.292735i | ||||
\(759\) | −28.8351 | − | 64.4908i | −1.04665 | − | 2.34087i | ||||
\(760\) | −6.13416 | + | 3.68510i | −0.222509 | + | 0.133672i | ||||
\(761\) | −4.16652 | + | 28.9788i | −0.151036 | + | 1.05048i | 0.763451 | + | 0.645865i | \(0.223503\pi\) |
−0.914487 | + | 0.404614i | \(0.867406\pi\) | |||||||
\(762\) | 6.24825 | − | 16.7522i | 0.226350 | − | 0.606868i | ||||
\(763\) | −1.62076 | + | 0.885000i | −0.0586753 | + | 0.0320391i | ||||
\(764\) | −14.1223 | − | 16.2980i | −0.510925 | − | 0.589639i | ||||
\(765\) | 62.0816 | + | 57.1690i | 2.24457 | + | 2.06695i | ||||
\(766\) | 4.80388 | − | 7.47498i | 0.173571 | − | 0.270082i | ||||
\(767\) | −6.81076 | + | 2.54028i | −0.245922 | + | 0.0917242i | ||||
\(768\) | 0.214375 | + | 2.99735i | 0.00773559 | + | 0.108158i | ||||
\(769\) | −5.98137 | + | 3.84399i | −0.215694 | + | 0.138618i | −0.644027 | − | 0.765003i | \(-0.722737\pi\) |
0.428333 | + | 0.903621i | \(0.359101\pi\) | |||||||
\(770\) | −9.94214 | − | 1.01389i | −0.358290 | − | 0.0365380i | ||||
\(771\) | 5.79745 | + | 40.3221i | 0.208790 | + | 1.45217i | ||||
\(772\) | 19.4518 | + | 4.23148i | 0.700086 | + | 0.152294i | ||||
\(773\) | −44.7831 | + | 3.20295i | −1.61074 | + | 0.115202i | −0.847456 | − | 0.530866i | \(-0.821867\pi\) |
−0.763280 | + | 0.646068i | \(0.776412\pi\) | |||||||
\(774\) | 29.8192 | − | 65.2950i | 1.07183 | − | 2.34698i | ||||
\(775\) | 19.0054 | + | 33.9180i | 0.682695 | + | 1.21837i | ||||
\(776\) | −1.80754 | − | 6.15591i | −0.0648869 | − | 0.220984i | ||||
\(777\) | −1.13705 | + | 15.8980i | −0.0407913 | + | 0.570337i | ||||
\(778\) | −10.3047 | − | 18.8716i | −0.369441 | − | 0.676580i | ||||
\(779\) | 1.90887 | + | 4.17984i | 0.0683923 | + | 0.149758i | ||||
\(780\) | −1.34440 | + | 3.29658i | −0.0481373 | + | 0.118036i | ||||
\(781\) | 3.73331i | 0.133588i | ||||||||
\(782\) | −21.3933 | + | 21.0561i | −0.765022 | + | 0.752965i | ||||
\(783\) | 9.63902 | − | 9.63902i | 0.344470 | − | 0.344470i | ||||
\(784\) | 6.10592 | + | 0.877898i | 0.218068 | + | 0.0313535i | ||||
\(785\) | −7.14222 | − | 4.90122i | −0.254917 | − | 0.174932i | ||||
\(786\) | −11.4119 | − | 3.35083i | −0.407048 | − | 0.119520i | ||||
\(787\) | −27.0487 | − | 1.93456i | −0.964181 | − | 0.0689596i | −0.419637 | − | 0.907692i | \(-0.637843\pi\) |
−0.544544 | + | 0.838732i | \(0.683297\pi\) | |||||||
\(788\) | 8.07652 | − | 14.7910i | 0.287714 | − | 0.526909i | ||||
\(789\) | −34.8469 | − | 22.3948i | −1.24058 | − | 0.797275i | ||||
\(790\) | 36.1874 | − | 4.09099i | 1.28749 | − | 0.145551i | ||||
\(791\) | −1.27717 | + | 1.47393i | −0.0454110 | + | 0.0524070i | ||||
\(792\) | −6.28317 | + | 28.8833i | −0.223263 | + | 1.02632i | ||||
\(793\) | 1.83624 | − | 2.45293i | 0.0652068 | − | 0.0871061i | ||||
\(794\) | −38.4106 | + | 5.52261i | −1.36314 | + | 0.195990i | ||||
\(795\) | 9.70991 | − | 3.29090i | 0.344375 | − | 0.116716i | ||||
\(796\) | −1.32163 | − | 1.14520i | −0.0468439 | − | 0.0405905i | ||||
\(797\) | 11.3458 | + | 30.4193i | 0.401889 | + | 1.07751i | 0.967508 | + | 0.252840i | \(0.0813646\pi\) |
−0.565619 | + | 0.824667i | \(0.691363\pi\) | |||||||
\(798\) | −8.56774 | + | 1.86380i | −0.303295 | + | 0.0659778i | ||||
\(799\) | 3.53422 | − | 1.03774i | 0.125032 | − | 0.0367127i | ||||
\(800\) | 2.65701 | − | 4.23560i | 0.0939394 | − | 0.149751i | ||||
\(801\) | −11.1931 | + | 38.1201i | −0.395488 | + | 1.34691i | ||||
\(802\) | 28.1341 | + | 10.4935i | 0.993450 | + | 0.370538i | ||||
\(803\) | −0.232653 | + | 0.174162i | −0.00821015 | + | 0.00614604i | ||||
\(804\) | 11.6080 | 0.409383 | ||||||||
\(805\) | −2.44143 | + | 9.46776i | −0.0860492 | + | 0.333695i | ||||
\(806\) | −4.11997 | −0.145120 | ||||||||
\(807\) | −44.5280 | + | 33.3332i | −1.56746 | + | 1.17339i | ||||
\(808\) | 16.2446 | + | 6.05891i | 0.571481 | + | 0.213152i | ||||
\(809\) | 5.12288 | − | 17.4469i | 0.180111 | − | 0.613402i | −0.819099 | − | 0.573653i | \(-0.805526\pi\) |
0.999210 | − | 0.0397491i | \(-0.0126559\pi\) | |||||||
\(810\) | 6.43938 | − | 19.7065i | 0.226257 | − | 0.692416i | ||||
\(811\) | −51.8800 | + | 15.2333i | −1.82175 | + | 0.534915i | −0.999419 | − | 0.0340915i | \(-0.989146\pi\) |
−0.822333 | + | 0.569006i | \(0.807328\pi\) | |||||||
\(812\) | 1.33379 | − | 0.290148i | 0.0468067 | − | 0.0101822i | ||||
\(813\) | −14.0241 | − | 37.6000i | −0.491845 | − | 1.31869i | ||||
\(814\) | 21.5510 | + | 18.6741i | 0.755362 | + | 0.654525i | ||||
\(815\) | 14.8426 | − | 30.0616i | 0.519913 | − | 1.05301i | ||||
\(816\) | 18.6170 | − | 2.67672i | 0.651724 | − | 0.0937038i | ||||
\(817\) | 22.8298 | − | 30.4971i | 0.798714 | − | 1.06696i | ||||
\(818\) | −4.79588 | + | 22.0463i | −0.167684 | + | 0.770830i | ||||
\(819\) | −1.90761 | + | 2.20150i | −0.0666574 | + | 0.0769267i | ||||
\(820\) | −2.51095 | − | 2.00089i | −0.0876862 | − | 0.0698740i | ||||
\(821\) | −17.0378 | − | 10.9495i | −0.594623 | − | 0.382141i | 0.208440 | − | 0.978035i | \(-0.433161\pi\) |
−0.803063 | + | 0.595894i | \(0.796798\pi\) | |||||||
\(822\) | −1.09840 | + | 2.01157i | −0.0383111 | + | 0.0701616i | ||||
\(823\) | 20.0682 | + | 1.43531i | 0.699535 | + | 0.0500317i | 0.416577 | − | 0.909101i | \(-0.363230\pi\) |
0.282958 | + | 0.959132i | \(0.408684\pi\) | |||||||
\(824\) | −17.4150 | − | 5.11349i | −0.606679 | − | 0.178137i | ||||
\(825\) | 55.1306 | − | 48.8375i | 1.91940 | − | 1.70030i | ||||
\(826\) | 12.3815 | + | 1.78019i | 0.430807 | + | 0.0619408i | ||||
\(827\) | 8.89824 | − | 8.89824i | 0.309422 | − | 0.309422i | −0.535263 | − | 0.844685i | \(-0.679788\pi\) |
0.844685 | + | 0.535263i | \(0.179788\pi\) | |||||||
\(828\) | 27.0147 | + | 10.3211i | 0.938827 | + | 0.358684i | ||||
\(829\) | 13.7542i | 0.477702i | 0.971056 | + | 0.238851i | \(0.0767707\pi\) | ||||
−0.971056 | + | 0.238851i | \(0.923229\pi\) | |||||||
\(830\) | −12.1055 | − | 4.93682i | −0.420188 | − | 0.171360i | ||||
\(831\) | 4.46470 | + | 9.77632i | 0.154879 | + | 0.339137i | ||||
\(832\) | 0.253923 | + | 0.465025i | 0.00880319 | + | 0.0161218i | ||||
\(833\) | 2.75441 | − | 38.5117i | 0.0954346 | − | 1.33435i | ||||
\(834\) | 17.6432 | + | 60.0871i | 0.610933 | + | 2.08065i | ||||
\(835\) | 0.133015 | − | 4.39910i | 0.00460316 | − | 0.152237i | ||||
\(836\) | −6.51672 | + | 14.2696i | −0.225385 | + | 0.493525i | ||||
\(837\) | 70.6228 | − | 5.05104i | 2.44108 | − | 0.174590i | ||||
\(838\) | −10.8242 | − | 2.35466i | −0.373916 | − | 0.0813404i | ||||
\(839\) | 2.79755 | + | 19.4574i | 0.0965822 | + | 0.671744i | 0.979385 | + | 0.202001i | \(0.0647444\pi\) |
−0.882803 | + | 0.469743i | \(0.844347\pi\) | |||||||
\(840\) | 4.74920 | − | 3.87020i | 0.163863 | − | 0.133535i | ||||
\(841\) | 22.5109 | − | 14.4669i | 0.776237 | − | 0.498857i | ||||
\(842\) | −1.64067 | − | 22.9396i | −0.0565414 | − | 0.790552i | ||||
\(843\) | −36.2577 | + | 13.5234i | −1.24878 | + | 0.465772i | ||||
\(844\) | 11.3616 | − | 17.6790i | 0.391083 | − | 0.608537i | ||||
\(845\) | −1.17066 | − | 28.4171i | −0.0402718 | − | 0.977577i | ||||
\(846\) | −2.32390 | − | 2.68193i | −0.0798974 | − | 0.0922065i | ||||
\(847\) | −10.4258 | + | 5.69291i | −0.358234 | + | 0.195611i | ||||
\(848\) | 0.533211 | − | 1.42959i | 0.0183105 | − | 0.0490925i | ||||
\(849\) | −9.91268 | + | 68.9442i | −0.340202 | + | 2.36616i | ||||
\(850\) | −27.6295 | − | 14.6966i | −0.947686 | − | 0.504090i | ||||
\(851\) | 21.2292 | − | 18.1020i | 0.727727 | − | 0.620527i | ||||
\(852\) | −1.61831 | − | 1.61831i | −0.0554423 | − | 0.0554423i | ||||
\(853\) | −7.98187 | − | 10.6625i | −0.273294 | − | 0.365078i | 0.642805 | − | 0.766030i | \(-0.277770\pi\) |
−0.916099 | + | 0.400952i | \(0.868680\pi\) | |||||||
\(854\) | −4.79628 | + | 2.19039i | −0.164125 | + | 0.0749535i | ||||
\(855\) | 21.8153 | − | 37.2304i | 0.746066 | − | 1.27325i | ||||
\(856\) | −4.12672 | + | 3.57583i | −0.141049 | + | 0.122219i | ||||
\(857\) | 12.8919 | + | 7.03949i | 0.440378 | + | 0.240464i | 0.684111 | − | 0.729378i | \(-0.260190\pi\) |
−0.243733 | + | 0.969842i | \(0.578372\pi\) | |||||||
\(858\) | 1.65898 | + | 7.62623i | 0.0566368 | + | 0.260355i | ||||
\(859\) | −2.69835 | − | 1.23229i | −0.0920665 | − | 0.0420454i | 0.368849 | − | 0.929489i | \(-0.379752\pi\) |
−0.460916 | + | 0.887444i | \(0.652479\pi\) | |||||||
\(860\) | −4.58270 | + | 26.2206i | −0.156269 | + | 0.894115i | ||||
\(861\) | −2.12688 | − | 3.30949i | −0.0724840 | − | 0.112787i | ||||
\(862\) | 9.99992 | + | 7.48585i | 0.340599 | + | 0.254969i | ||||
\(863\) | −16.1002 | − | 12.0525i | −0.548059 | − | 0.410272i | 0.289045 | − | 0.957315i | \(-0.406662\pi\) |
−0.837104 | + | 0.547044i | \(0.815753\pi\) | |||||||
\(864\) | −4.92275 | − | 7.65995i | −0.167475 | − | 0.260597i | ||||
\(865\) | −5.34518 | + | 30.5832i | −0.181742 | + | 1.03986i | ||||
\(866\) | −15.3505 | − | 7.01033i | −0.521631 | − | 0.238221i | ||||
\(867\) | −14.1647 | − | 65.1141i | −0.481059 | − | 2.21139i | ||||
\(868\) | 6.22253 | + | 3.39776i | 0.211207 | + | 0.115327i | ||||
\(869\) | 60.3353 | − | 52.2808i | 2.04673 | − | 1.77351i | ||||
\(870\) | −5.08568 | + | 8.67933i | −0.172421 | + | 0.294257i | ||||
\(871\) | 1.86174 | − | 0.850227i | 0.0630826 | − | 0.0288088i | ||||
\(872\) | −1.21376 | − | 1.62139i | −0.0411030 | − | 0.0549072i | ||||
\(873\) | 27.3564 | + | 27.3564i | 0.925873 | + | 0.925873i | ||||
\(874\) | 12.8451 | + | 8.39996i | 0.434492 | + | 0.284133i | ||||
\(875\) | −10.1799 | + | 0.531025i | −0.344143 | + | 0.0179519i | ||||
\(876\) | 0.0253546 | − | 0.176345i | 0.000856653 | − | 0.00595816i | ||||
\(877\) | −11.4890 | + | 30.8032i | −0.387956 | + | 1.04015i | 0.585378 | + | 0.810761i | \(0.300946\pi\) |
−0.973334 | + | 0.229391i | \(0.926327\pi\) | |||||||
\(878\) | 8.49787 | − | 4.64019i | 0.286789 | − | 0.156599i | ||||
\(879\) | 19.6898 | + | 22.7233i | 0.664122 | + | 0.766438i | ||||
\(880\) | −0.451160 | − | 10.9517i | −0.0152086 | − | 0.369181i | ||||
\(881\) | −15.6916 | + | 24.4167i | −0.528664 | + | 0.822618i | −0.998180 | − | 0.0603063i | \(-0.980792\pi\) |
0.469515 | + | 0.882924i | \(0.344429\pi\) | |||||||
\(882\) | −34.8524 | + | 12.9993i | −1.17354 | + | 0.437709i | ||||
\(883\) | 2.63403 | + | 36.8286i | 0.0886423 | + | 1.23938i | 0.825919 | + | 0.563789i | \(0.190657\pi\) |
−0.737276 | + | 0.675591i | \(0.763888\pi\) | |||||||
\(884\) | 2.78980 | − | 1.79290i | 0.0938313 | − | 0.0603017i | ||||
\(885\) | −71.4629 | + | 58.2363i | −2.40220 | + | 1.95759i | ||||
\(886\) | −3.57327 | − | 24.8526i | −0.120046 | − | 0.834940i | ||||
\(887\) | −17.1838 | − | 3.73810i | −0.576974 | − | 0.125513i | −0.0853969 | − | 0.996347i | \(-0.527216\pi\) |
−0.491577 | + | 0.870834i | \(0.663579\pi\) | |||||||
\(888\) | −17.4367 | + | 1.24710i | −0.585137 | + | 0.0418498i | ||||
\(889\) | −2.25357 | + | 4.93462i | −0.0755822 | + | 0.165502i | ||||
\(890\) | 0.445258 | − | 14.7257i | 0.0149251 | − | 0.493607i | ||||
\(891\) | −12.8043 | − | 43.6073i | −0.428959 | − | 1.46090i | ||||
\(892\) | −1.32399 | + | 18.5119i | −0.0443306 | + | 0.619823i | ||||
\(893\) | −0.902590 | − | 1.65297i | −0.0302040 | − | 0.0553145i | ||||
\(894\) | 3.61948 | + | 7.92556i | 0.121054 | + | 0.265070i | ||||
\(895\) | 25.1225 | + | 10.2454i | 0.839751 | + | 0.342465i | ||||
\(896\) | − | 0.911755i | − | 0.0304596i | ||||||
\(897\) | 7.62036 | − | 0.484213i | 0.254436 | − | 0.0161674i | ||||
\(898\) | 19.0032 | − | 19.0032i | 0.634146 | − | 0.634146i | ||||
\(899\) | −11.5228 | − | 1.65673i | −0.384308 | − | 0.0552551i | ||||
\(900\) | −1.82164 | + | 30.0953i | −0.0607212 | + | 1.00318i | ||||
\(901\) | −9.16314 | − | 2.69054i | −0.305269 | − | 0.0896349i | ||||
\(902\) | −7.02048 | − | 0.502114i | −0.233756 | − | 0.0167186i | ||||
\(903\) | −15.6306 | + | 28.6253i | −0.520155 | + | 0.952592i | ||||
\(904\) | −1.79949 | − | 1.15646i | −0.0598501 | − | 0.0384633i | ||||
\(905\) | −11.1807 | − | 8.90949i | −0.371658 | − | 0.296161i | ||||
\(906\) | −21.7062 | + | 25.0502i | −0.721139 | + | 0.832239i | ||||
\(907\) | −8.74372 | + | 40.1942i | −0.290330 | + | 1.33463i | 0.568634 | + | 0.822591i | \(0.307472\pi\) |
−0.858964 | + | 0.512036i | \(0.828891\pi\) | |||||||
\(908\) | −4.99384 | + | 6.67099i | −0.165726 | + | 0.221385i | ||||
\(909\) | −103.484 | + | 14.8787i | −3.43233 | + | 0.493495i | ||||
\(910\) | 0.478222 | − | 0.968572i | 0.0158529 | − | 0.0321079i | ||||
\(911\) | 13.2781 | + | 11.5055i | 0.439923 | + | 0.381196i | 0.846472 | − | 0.532433i | \(-0.178722\pi\) |
−0.406549 | + | 0.913629i | \(0.633268\pi\) | |||||||
\(912\) | −3.36071 | − | 9.01042i | −0.111284 | − | 0.298365i | ||||
\(913\) | −28.0046 | + | 6.09202i | −0.926816 | + | 0.201616i | ||||
\(914\) | −17.0265 | + | 4.99944i | −0.563188 | + | 0.165367i | ||||
\(915\) | 12.0697 | − | 36.9370i | 0.399012 | − | 1.22110i | ||||
\(916\) | −3.19493 | + | 10.8809i | −0.105564 | + | 0.359516i | ||||
\(917\) | 3.38115 | + | 1.26110i | 0.111655 | + | 0.0416453i | ||||
\(918\) | −45.6236 | + | 34.1534i | −1.50580 | + | 1.12723i | ||||
\(919\) | −16.3579 | −0.539598 | −0.269799 | − | 0.962917i | \(-0.586957\pi\) | ||||
−0.269799 | + | 0.962917i | \(0.586957\pi\) | |||||||
\(920\) | −10.6595 | − | 1.17266i | −0.351433 | − | 0.0386616i | ||||
\(921\) | 11.3721 | 0.374724 | ||||||||
\(922\) | −14.2296 | + | 10.6521i | −0.468627 | + | 0.350810i | ||||
\(923\) | −0.378083 | − | 0.141018i | −0.0124448 | − | 0.00464166i | ||||
\(924\) | 3.78377 | − | 12.8863i | 0.124477 | − | 0.423929i | ||||
\(925\) | 24.6400 | + | 15.4568i | 0.810159 | + | 0.508216i | ||||
\(926\) | −12.2909 | + | 3.60893i | −0.403904 | + | 0.118597i | ||||
\(927\) | 106.946 | − | 23.2646i | 3.51256 | − | 0.764110i | ||||
\(928\) | 0.523180 | + | 1.40270i | 0.0171742 | + | 0.0460459i | ||||
\(929\) | −19.8784 | − | 17.2247i | −0.652188 | − | 0.565125i | 0.264669 | − | 0.964339i | \(-0.414737\pi\) |
−0.916857 | + | 0.399215i | \(0.869283\pi\) | |||||||
\(930\) | −49.4849 | + | 16.7715i | −1.62267 | + | 0.549959i | ||||
\(931\) | −19.5404 | + | 2.80949i | −0.640411 | + | 0.0920772i | ||||
\(932\) | 10.3446 | − | 13.8187i | 0.338847 | − | 0.452647i | ||||
\(933\) | 12.0370 | − | 55.3331i | 0.394073 | − | 1.81152i | ||||
\(934\) | 4.56231 | − | 5.26518i | 0.149283 | − | 0.172282i | ||||
\(935\) | −68.1706 | + | 7.70669i | −2.22942 | + | 0.252036i | ||||
\(936\) | −2.68776 | − | 1.72732i | −0.0878522 | − | 0.0564592i | ||||
\(937\) | −2.57104 | + | 4.70850i | −0.0839921 | + | 0.153820i | −0.916299 | − | 0.400495i | \(-0.868838\pi\) |
0.832307 | + | 0.554315i | \(0.187020\pi\) | |||||||
\(938\) | −3.51303 | − | 0.251257i | −0.114705 | − | 0.00820383i | ||||
\(939\) | 5.41107 | + | 1.58883i | 0.176584 | + | 0.0518497i | ||||
\(940\) | 1.08502 | + | 0.744575i | 0.0353894 | + | 0.0242854i | ||||
\(941\) | −1.12646 | − | 0.161961i | −0.0367217 | − | 0.00527978i | 0.123929 | − | 0.992291i | \(-0.460450\pi\) |
−0.160651 | + | 0.987011i | \(0.551359\pi\) | |||||||
\(942\) | 8.23138 | − | 8.23138i | 0.268193 | − | 0.268193i | ||||
\(943\) | −1.51715 | + | 6.71692i | −0.0494053 | + | 0.218733i | ||||
\(944\) | 13.7195i | 0.446532i | ||||||||
\(945\) | −7.01002 | + | 17.1891i | −0.228036 | + | 0.559163i | ||||
\(946\) | 24.2403 | + | 53.0788i | 0.788119 | + | 1.72574i | ||||
\(947\) | −17.2624 | − | 31.6137i | −0.560952 | − | 1.02731i | −0.992150 | − | 0.125050i | \(-0.960091\pi\) |
0.431199 | − | 0.902257i | \(-0.358091\pi\) | |||||||
\(948\) | −3.49143 | + | 48.8166i | −0.113396 | + | 1.58549i | ||||
\(949\) | −0.00884991 | − | 0.0301400i | −0.000287280 | − | 0.000978387i | ||||
\(950\) | −4.33976 | + | 15.4015i | −0.140801 | + | 0.499690i | ||||
\(951\) | −7.25489 | + | 15.8860i | −0.235256 | + | 0.515139i | ||||
\(952\) | −5.69215 | + | 0.407111i | −0.184484 | + | 0.0131945i | ||||
\(953\) | −15.8942 | − | 3.45757i | −0.514864 | − | 0.112002i | −0.0523760 | − | 0.998627i | \(-0.516679\pi\) |
−0.462488 | + | 0.886626i | \(0.653043\pi\) | |||||||
\(954\) | 1.30939 | + | 9.10702i | 0.0423931 | + | 0.294851i | ||||
\(955\) | −47.9727 | − | 4.89219i | −1.55236 | − | 0.158308i | ||||
\(956\) | −11.1012 | + | 7.13431i | −0.359039 | + | 0.230740i | ||||
\(957\) | 1.57321 | + | 21.9963i | 0.0508546 | + | 0.711040i | ||||
\(958\) | 15.7633 | − | 5.87940i | 0.509288 | − | 0.189955i | ||||
\(959\) | 0.375959 | − | 0.585004i | 0.0121404 | − | 0.0188908i | ||||
\(960\) | 4.94288 | + | 4.55174i | 0.159531 | + | 0.146907i | ||||
\(961\) | −19.2958 | − | 22.2685i | −0.622444 | − | 0.718338i | ||||
\(962\) | −2.70522 | + | 1.47716i | −0.0872198 | + | 0.0476256i | ||||
\(963\) | 11.5068 | − | 30.8508i | 0.370800 | − | 0.994154i | ||||
\(964\) | −2.96669 | + | 20.6338i | −0.0955508 | + | 0.664570i | ||||
\(965\) | 38.1568 | − | 22.9227i | 1.22831 | − | 0.737908i | ||||
\(966\) | −11.9086 | − | 5.55322i | −0.383153 | − | 0.178672i | ||||
\(967\) | −17.7036 | − | 17.7036i | −0.569310 | − | 0.569310i | 0.362625 | − | 0.931935i | \(-0.381880\pi\) |
−0.931935 | + | 0.362625i | \(0.881880\pi\) | |||||||
\(968\) | −7.80770 | − | 10.4299i | −0.250949 | − | 0.335229i | ||||
\(969\) | −54.7521 | + | 25.0044i | −1.75889 | + | 0.803258i | ||||
\(970\) | −12.3778 | − | 7.25279i | −0.397426 | − | 0.232873i | ||||
\(971\) | 23.7885 | − | 20.6128i | 0.763409 | − | 0.661497i | −0.183493 | − | 0.983021i | \(-0.558740\pi\) |
0.946902 | + | 0.321524i | \(0.104195\pi\) | |||||||
\(972\) | 0.478328 | + | 0.261187i | 0.0153424 | + | 0.00837757i | ||||
\(973\) | −4.03891 | − | 18.5666i | −0.129481 | − | 0.595217i | ||||
\(974\) | −17.9458 | − | 8.19558i | −0.575021 | − | 0.262603i | ||||
\(975\) | 2.86348 | + | 7.42797i | 0.0917047 | + | 0.237885i | ||||
\(976\) | −3.12658 | − | 4.86505i | −0.100079 | − | 0.155727i | ||||
\(977\) | −33.2199 | − | 24.8681i | −1.06280 | − | 0.795601i | −0.0831936 | − | 0.996533i | \(-0.526512\pi\) |
−0.979605 | + | 0.200932i | \(0.935603\pi\) | |||||||
\(978\) | 36.0685 | + | 27.0005i | 1.15334 | + | 0.863381i | ||||
\(979\) | −17.4607 | − | 27.1694i | −0.558047 | − | 0.868337i | ||||
\(980\) | 11.2872 | − | 7.92871i | 0.360555 | − | 0.253273i | ||||
\(981\) | 11.1095 | + | 5.07352i | 0.354697 | + | 0.161985i | ||||
\(982\) | −1.87525 | − | 8.62038i | −0.0598416 | − | 0.275087i | ||||
\(983\) | −49.3391 | − | 26.9412i | −1.57367 | − | 0.859290i | −0.999168 | − | 0.0407879i | \(-0.987013\pi\) |
−0.574504 | − | 0.818502i | \(-0.694805\pi\) | |||||||
\(984\) | 3.26088 | − | 2.82557i | 0.103953 | − | 0.0900758i | ||||
\(985\) | −9.51897 | − | 36.4611i | −0.303300 | − | 1.16175i | ||||
\(986\) | 8.52355 | − | 3.89258i | 0.271445 | − | 0.123965i | ||||
\(987\) | 0.966269 | + | 1.29078i | 0.0307567 | + | 0.0410861i | ||||
\(988\) | −1.19897 | − | 1.19897i | −0.0381443 | − | 0.0381443i | ||||
\(989\) | 54.9029 | − | 15.6483i | 1.74581 | − | 0.497588i | ||||
\(990\) | 34.0371 | + | 56.6576i | 1.08177 | + | 1.80070i | ||||
\(991\) | 1.75378 | − | 12.1978i | 0.0557108 | − | 0.387477i | −0.942821 | − | 0.333301i | \(-0.891838\pi\) |
0.998531 | − | 0.0541764i | \(-0.0172533\pi\) | |||||||
\(992\) | −2.71742 | + | 7.28568i | −0.0862781 | + | 0.231320i | ||||
\(993\) | 30.5682 | − | 16.6915i | 0.970052 | − | 0.529688i | ||||
\(994\) | 0.454734 | + | 0.524791i | 0.0144233 | + | 0.0166454i | ||||
\(995\) | −3.90705 | + | 0.160953i | −0.123862 | + | 0.00510255i | ||||
\(996\) | 9.49861 | − | 14.7801i | 0.300975 | − | 0.468326i | ||||
\(997\) | 0.544818 | − | 0.203206i | 0.0172545 | − | 0.00643561i | −0.340822 | − | 0.940128i | \(-0.610705\pi\) |
0.358077 | + | 0.933692i | \(0.383433\pi\) | |||||||
\(998\) | −0.354976 | − | 4.96321i | −0.0112366 | − | 0.157108i | ||||
\(999\) | 44.5607 | − | 28.6374i | 1.40984 | − | 0.906048i |
(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 | 230.2.l.a.107.12 | yes | 240 | |
5.3 | odd | 4 | inner | 230.2.l.a.153.1 | yes | 240 | |
23.20 | odd | 22 | inner | 230.2.l.a.227.1 | yes | 240 | |
115.43 | even | 44 | inner | 230.2.l.a.43.12 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.43.12 | ✓ | 240 | 115.43 | even | 44 | inner | |
230.2.l.a.107.12 | yes | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.153.1 | yes | 240 | 5.3 | odd | 4 | inner | |
230.2.l.a.227.1 | yes | 240 | 23.20 | odd | 22 | inner |