Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(68,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.i (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 68.4 | ||
Root | \(0.187540 - 0.324828i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.68 |
Dual form | 441.2.i.b.227.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.718167i | 0.507821i | 0.967228 | + | 0.253910i | \(0.0817168\pi\) | ||||
−0.967228 | + | 0.253910i | \(0.918283\pi\) | |||||||
\(3\) | 0.271473 | + | 1.71064i | 0.156735 | + | 0.987641i | ||||
\(4\) | 1.48424 | 0.742118 | ||||||||
\(5\) | 0.723774 | + | 1.25361i | 0.323682 | + | 0.560633i | 0.981245 | − | 0.192766i | \(-0.0617460\pi\) |
−0.657563 | + | 0.753400i | \(0.728413\pi\) | |||||||
\(6\) | −1.22853 | + | 0.194963i | −0.501544 | + | 0.0795931i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.50226i | 0.884683i | ||||||||
\(9\) | −2.85261 | + | 0.928786i | −0.950868 | + | 0.309595i | ||||
\(10\) | −0.900304 | + | 0.519791i | −0.284701 | + | 0.164372i | ||||
\(11\) | −1.55933 | − | 0.900281i | −0.470156 | − | 0.271445i | 0.246149 | − | 0.969232i | \(-0.420835\pi\) |
−0.716305 | + | 0.697787i | \(0.754168\pi\) | |||||||
\(12\) | 0.402930 | + | 2.53900i | 0.116316 | + | 0.732946i | ||||
\(13\) | 1.88867 | + | 1.09042i | 0.523823 | + | 0.302429i | 0.738497 | − | 0.674256i | \(-0.235536\pi\) |
−0.214675 | + | 0.976686i | \(0.568869\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.94800 | + | 1.57844i | −0.502972 | + | 0.407552i | ||||
\(16\) | 1.17143 | 0.292858 | ||||||||
\(17\) | −1.95230 | − | 3.38149i | −0.473503 | − | 0.820131i | 0.526037 | − | 0.850462i | \(-0.323677\pi\) |
−0.999540 | + | 0.0303308i | \(0.990344\pi\) | |||||||
\(18\) | −0.667023 | − | 2.04865i | −0.157219 | − | 0.482870i | ||||
\(19\) | 3.47456 | + | 2.00604i | 0.797118 | + | 0.460216i | 0.842462 | − | 0.538755i | \(-0.181105\pi\) |
−0.0453446 | + | 0.998971i | \(0.514439\pi\) | |||||||
\(20\) | 1.07425 | + | 1.86066i | 0.240210 | + | 0.416056i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.646552 | − | 1.11986i | 0.137845 | − | 0.238755i | ||||
\(23\) | −4.91522 | + | 2.83781i | −1.02490 | + | 0.591723i | −0.915518 | − | 0.402277i | \(-0.868219\pi\) |
−0.109377 | + | 0.994000i | \(0.534886\pi\) | |||||||
\(24\) | −4.28048 | + | 0.679296i | −0.873749 | + | 0.138661i | ||||
\(25\) | 1.45230 | − | 2.51546i | 0.290460 | − | 0.503092i | ||||
\(26\) | −0.783106 | + | 1.35638i | −0.153580 | + | 0.266008i | ||||
\(27\) | −2.36323 | − | 4.62765i | −0.454803 | − | 0.890592i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 8.49418 | − | 4.90412i | 1.57733 | − | 0.910672i | 0.582100 | − | 0.813117i | \(-0.302231\pi\) |
0.995230 | − | 0.0975551i | \(-0.0311022\pi\) | |||||||
\(30\) | −1.13358 | − | 1.39899i | −0.206963 | − | 0.255419i | ||||
\(31\) | − | 2.83050i | − | 0.508374i | −0.967155 | − | 0.254187i | \(-0.918192\pi\) | ||
0.967155 | − | 0.254187i | \(-0.0818078\pi\) | |||||||
\(32\) | 5.84581i | 1.03340i | ||||||||
\(33\) | 1.11674 | − | 2.91186i | 0.194400 | − | 0.506890i | ||||
\(34\) | 2.42847 | − | 1.40208i | 0.416479 | − | 0.240454i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −4.23394 | + | 1.37854i | −0.705657 | + | 0.229756i | ||||
\(37\) | −0.411767 | + | 0.713202i | −0.0676941 | + | 0.117250i | −0.897886 | − | 0.440228i | \(-0.854898\pi\) |
0.830192 | + | 0.557478i | \(0.188231\pi\) | |||||||
\(38\) | −1.44067 | + | 2.49531i | −0.233707 | + | 0.404793i | ||||
\(39\) | −1.35261 | + | 3.52686i | −0.216590 | + | 0.564750i | ||||
\(40\) | −3.13687 | + | 1.81107i | −0.495983 | + | 0.286356i | ||||
\(41\) | −5.90617 | + | 10.2298i | −0.922389 | + | 1.59762i | −0.126681 | + | 0.991943i | \(0.540433\pi\) |
−0.795708 | + | 0.605681i | \(0.792901\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.76766 | − | 6.52578i | −0.574563 | − | 0.995172i | −0.996089 | − | 0.0883555i | \(-0.971839\pi\) |
0.421526 | − | 0.906816i | \(-0.361494\pi\) | |||||||
\(44\) | −2.31442 | − | 1.33623i | −0.348912 | − | 0.201444i | ||||
\(45\) | −3.22898 | − | 2.90383i | −0.481348 | − | 0.432878i | ||||
\(46\) | −2.03802 | − | 3.52995i | −0.300489 | − | 0.520463i | ||||
\(47\) | −2.33839 | −0.341089 | −0.170545 | − | 0.985350i | \(-0.554553\pi\) | ||||
−0.170545 | + | 0.985350i | \(0.554553\pi\) | |||||||
\(48\) | 0.318012 | + | 2.00390i | 0.0459010 | + | 0.289238i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.80652 | + | 1.04299i | 0.255480 | + | 0.147502i | ||||
\(51\) | 5.25452 | − | 4.25767i | 0.735780 | − | 0.596194i | ||||
\(52\) | 2.80323 | + | 1.61845i | 0.388738 | + | 0.224438i | ||||
\(53\) | 0.996713 | − | 0.575453i | 0.136909 | − | 0.0790445i | −0.429981 | − | 0.902838i | \(-0.641480\pi\) |
0.566890 | + | 0.823793i | \(0.308146\pi\) | |||||||
\(54\) | 3.32343 | − | 1.69719i | 0.452261 | − | 0.230958i | ||||
\(55\) | − | 2.60640i | − | 0.351447i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.48837 | + | 6.48831i | −0.329592 | + | 0.859398i | ||||
\(58\) | 3.52198 | + | 6.10024i | 0.462458 | + | 0.801001i | ||||
\(59\) | 9.79110 | 1.27469 | 0.637346 | − | 0.770577i | \(-0.280032\pi\) | ||||
0.637346 | + | 0.770577i | \(0.280032\pi\) | |||||||
\(60\) | −2.89130 | + | 2.34278i | −0.373265 | + | 0.302452i | ||||
\(61\) | − | 2.35536i | − | 0.301573i | −0.988566 | − | 0.150786i | \(-0.951819\pi\) | ||
0.988566 | − | 0.150786i | \(-0.0481806\pi\) | |||||||
\(62\) | 2.03277 | 0.258163 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.85540 | −0.231925 | ||||||||
\(65\) | 3.15688i | 0.391563i | ||||||||
\(66\) | 2.09120 | + | 0.802008i | 0.257409 | + | 0.0987204i | ||||
\(67\) | −0.312805 | −0.0382152 | −0.0191076 | − | 0.999817i | \(-0.506083\pi\) | ||||
−0.0191076 | + | 0.999817i | \(0.506083\pi\) | |||||||
\(68\) | −2.89768 | − | 5.01893i | −0.351395 | − | 0.608634i | ||||
\(69\) | −6.18882 | − | 7.63781i | −0.745047 | − | 0.919484i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.94933i | 0.231343i | 0.993288 | + | 0.115671i | \(0.0369019\pi\) | ||||
−0.993288 | + | 0.115671i | \(0.963098\pi\) | |||||||
\(72\) | −2.32407 | − | 7.13797i | −0.273894 | − | 0.841218i | ||||
\(73\) | −2.42847 | + | 1.40208i | −0.284231 | + | 0.164101i | −0.635337 | − | 0.772235i | \(-0.719139\pi\) |
0.351106 | + | 0.936336i | \(0.385806\pi\) | |||||||
\(74\) | −0.512198 | − | 0.295717i | −0.0595418 | − | 0.0343765i | ||||
\(75\) | 4.69732 | + | 1.80149i | 0.542399 | + | 0.208018i | ||||
\(76\) | 5.15706 | + | 2.97743i | 0.591556 | + | 0.341535i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.53287 | − | 0.971396i | −0.286792 | − | 0.109989i | ||||
\(79\) | 12.4317 | 1.39867 | 0.699336 | − | 0.714793i | \(-0.253479\pi\) | ||||
0.699336 | + | 0.714793i | \(0.253479\pi\) | |||||||
\(80\) | 0.847852 | + | 1.46852i | 0.0947927 | + | 0.164186i | ||||
\(81\) | 7.27471 | − | 5.29892i | 0.808302 | − | 0.588769i | ||||
\(82\) | −7.34669 | − | 4.24162i | −0.811306 | − | 0.468408i | ||||
\(83\) | −3.60916 | − | 6.25124i | −0.396157 | − | 0.686163i | 0.597092 | − | 0.802173i | \(-0.296323\pi\) |
−0.993248 | + | 0.116010i | \(0.962990\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.82605 | − | 4.89486i | 0.306528 | − | 0.530923i | ||||
\(86\) | 4.68660 | − | 2.70581i | 0.505369 | − | 0.291775i | ||||
\(87\) | 10.6951 | + | 13.1992i | 1.14664 | + | 1.41510i | ||||
\(88\) | 2.25274 | − | 3.90186i | 0.240143 | − | 0.415939i | ||||
\(89\) | 5.28999 | − | 9.16253i | 0.560737 | − | 0.971226i | −0.436695 | − | 0.899610i | \(-0.643851\pi\) |
0.997432 | − | 0.0716161i | \(-0.0228156\pi\) | |||||||
\(90\) | 2.08544 | − | 2.31895i | 0.219824 | − | 0.244438i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −7.29536 | + | 4.21198i | −0.760593 | + | 0.439129i | ||||
\(93\) | 4.84198 | − | 0.768404i | 0.502090 | − | 0.0796798i | ||||
\(94\) | − | 1.67935i | − | 0.173212i | ||||||
\(95\) | 5.80767i | 0.595854i | ||||||||
\(96\) | −10.0001 | + | 1.58698i | −1.02063 | + | 0.161970i | ||||
\(97\) | 13.4322 | − | 7.75510i | 1.36384 | − | 0.787411i | 0.373704 | − | 0.927548i | \(-0.378088\pi\) |
0.990132 | + | 0.140137i | \(0.0447543\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.28433 | + | 1.11986i | 0.531095 | + | 0.112550i | ||||
\(100\) | 2.15556 | − | 3.73354i | 0.215556 | − | 0.373354i | ||||
\(101\) | 1.97309 | − | 3.41749i | 0.196330 | − | 0.340053i | −0.751006 | − | 0.660295i | \(-0.770431\pi\) |
0.947336 | + | 0.320242i | \(0.103764\pi\) | |||||||
\(102\) | 3.05772 | + | 3.77362i | 0.302759 | + | 0.373644i | ||||
\(103\) | −3.59853 | + | 2.07761i | −0.354573 | + | 0.204713i | −0.666698 | − | 0.745328i | \(-0.732293\pi\) |
0.312124 | + | 0.950041i | \(0.398959\pi\) | |||||||
\(104\) | −2.72853 | + | 4.72595i | −0.267554 | + | 0.463417i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.413271 | + | 0.715806i | 0.0401404 | + | 0.0695253i | ||||
\(107\) | −4.91092 | − | 2.83532i | −0.474757 | − | 0.274101i | 0.243472 | − | 0.969908i | \(-0.421714\pi\) |
−0.718229 | + | 0.695807i | \(0.755047\pi\) | |||||||
\(108\) | −3.50759 | − | 6.86853i | −0.337518 | − | 0.660925i | ||||
\(109\) | 5.99916 | + | 10.3908i | 0.574615 | + | 0.995262i | 0.996083 | + | 0.0884193i | \(0.0281815\pi\) |
−0.421468 | + | 0.906843i | \(0.638485\pi\) | |||||||
\(110\) | 1.87183 | 0.178472 | ||||||||
\(111\) | −1.33182 | − | 0.510772i | −0.126411 | − | 0.0484804i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.27800 | + | 3.62461i | 0.590585 | + | 0.340974i | 0.765329 | − | 0.643640i | \(-0.222576\pi\) |
−0.174744 | + | 0.984614i | \(0.555910\pi\) | |||||||
\(114\) | −4.65969 | − | 1.78706i | −0.436420 | − | 0.167374i | ||||
\(115\) | −7.11502 | − | 4.10786i | −0.663479 | − | 0.383060i | ||||
\(116\) | 12.6074 | − | 7.27887i | 1.17057 | − | 0.675826i | ||||
\(117\) | −6.40040 | − | 1.35638i | −0.591717 | − | 0.125397i | ||||
\(118\) | 7.03164i | 0.647315i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −3.94968 | − | 4.87441i | −0.360554 | − | 0.444971i | ||||
\(121\) | −3.87899 | − | 6.71861i | −0.352635 | − | 0.610782i | ||||
\(122\) | 1.69154 | 0.153145 | ||||||||
\(123\) | −19.1029 | − | 7.32625i | −1.72245 | − | 0.660586i | ||||
\(124\) | − | 4.20114i | − | 0.377273i | ||||||
\(125\) | 11.4423 | 1.02343 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.881336 | −0.0782059 | −0.0391030 | − | 0.999235i | \(-0.512450\pi\) | ||||
−0.0391030 | + | 0.999235i | \(0.512450\pi\) | |||||||
\(128\) | 10.3591i | 0.915626i | ||||||||
\(129\) | 10.1405 | − | 8.21669i | 0.892818 | − | 0.723439i | ||||
\(130\) | −2.26717 | −0.198844 | ||||||||
\(131\) | 1.48721 | + | 2.57592i | 0.129938 | + | 0.225059i | 0.923652 | − | 0.383232i | \(-0.125189\pi\) |
−0.793714 | + | 0.608291i | \(0.791856\pi\) | |||||||
\(132\) | 1.65751 | − | 4.32189i | 0.144268 | − | 0.376173i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 0.224646i | − | 0.0194065i | ||||||
\(135\) | 4.09085 | − | 6.31195i | 0.352084 | − | 0.543246i | ||||
\(136\) | 8.46137 | − | 4.88517i | 0.725556 | − | 0.418900i | ||||
\(137\) | −10.3045 | − | 5.94930i | −0.880372 | − | 0.508283i | −0.00959114 | − | 0.999954i | \(-0.503053\pi\) |
−0.870781 | + | 0.491671i | \(0.836386\pi\) | |||||||
\(138\) | 5.48522 | − | 4.44461i | 0.466933 | − | 0.378350i | ||||
\(139\) | −10.4143 | − | 6.01268i | −0.883327 | − | 0.509989i | −0.0115731 | − | 0.999933i | \(-0.503684\pi\) |
−0.871754 | + | 0.489944i | \(0.837017\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.634809 | − | 4.00015i | −0.0534606 | − | 0.336874i | ||||
\(142\) | −1.39994 | −0.117481 | ||||||||
\(143\) | −1.96338 | − | 3.40067i | −0.164186 | − | 0.284378i | ||||
\(144\) | −3.34163 | + | 1.08801i | −0.278469 | + | 0.0906674i | ||||
\(145\) | 12.2957 | + | 7.09895i | 1.02111 | + | 0.589536i | ||||
\(146\) | −1.00693 | − | 1.74405i | −0.0833338 | − | 0.144338i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.611160 | + | 1.05856i | −0.0502370 | + | 0.0870131i | ||||
\(149\) | 6.13061 | − | 3.53951i | 0.502239 | − | 0.289968i | −0.227399 | − | 0.973802i | \(-0.573022\pi\) |
0.729638 | + | 0.683834i | \(0.239689\pi\) | |||||||
\(150\) | −1.29377 | + | 3.37346i | −0.105636 | + | 0.275442i | ||||
\(151\) | −7.79093 | + | 13.4943i | −0.634017 | + | 1.09815i | 0.352706 | + | 0.935734i | \(0.385262\pi\) |
−0.986723 | + | 0.162415i | \(0.948072\pi\) | |||||||
\(152\) | −5.01963 | + | 8.69425i | −0.407146 | + | 0.705197i | ||||
\(153\) | 8.70982 | + | 7.83277i | 0.704147 | + | 0.633242i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.54836 | − | 2.04865i | 0.285011 | − | 0.164551i | ||||
\(156\) | −2.00759 | + | 5.23470i | −0.160736 | + | 0.419111i | ||||
\(157\) | 2.08628i | 0.166503i | 0.996529 | + | 0.0832517i | \(0.0265305\pi\) | ||||
−0.996529 | + | 0.0832517i | \(0.973469\pi\) | |||||||
\(158\) | 8.92801i | 0.710274i | ||||||||
\(159\) | 1.25498 | + | 1.54880i | 0.0995260 | + | 0.122828i | ||||
\(160\) | −7.32839 | + | 4.23105i | −0.579360 | + | 0.334494i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 3.80551 | + | 5.22446i | 0.298989 | + | 0.410472i | ||||
\(163\) | −5.58983 | + | 9.68188i | −0.437830 | + | 0.758343i | −0.997522 | − | 0.0703575i | \(-0.977586\pi\) |
0.559692 | + | 0.828700i | \(0.310919\pi\) | |||||||
\(164\) | −8.76616 | + | 15.1834i | −0.684522 | + | 1.18563i | ||||
\(165\) | 4.45862 | − | 0.707566i | 0.347103 | − | 0.0550839i | ||||
\(166\) | 4.48944 | − | 2.59198i | 0.348448 | − | 0.201176i | ||||
\(167\) | 0.960750 | − | 1.66407i | 0.0743450 | − | 0.128769i | −0.826456 | − | 0.563001i | \(-0.809647\pi\) |
0.900801 | + | 0.434232i | \(0.142980\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.12195 | − | 7.13943i | −0.317073 | − | 0.549187i | ||||
\(170\) | 3.51533 | + | 2.02958i | 0.269613 | + | 0.155661i | ||||
\(171\) | −11.7747 | − | 2.49531i | −0.900435 | − | 0.190821i | ||||
\(172\) | −5.59210 | − | 9.68580i | −0.426393 | − | 0.738535i | ||||
\(173\) | −15.2258 | −1.15760 | −0.578798 | − | 0.815471i | \(-0.696478\pi\) | ||||
−0.578798 | + | 0.815471i | \(0.696478\pi\) | |||||||
\(174\) | −9.47922 | + | 7.68089i | −0.718618 | + | 0.582287i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.82665 | − | 1.05462i | −0.137689 | − | 0.0794948i | ||||
\(177\) | 2.65802 | + | 16.7491i | 0.199789 | + | 1.25894i | ||||
\(178\) | 6.58022 | + | 3.79909i | 0.493208 | + | 0.284754i | ||||
\(179\) | 0.299401 | − | 0.172859i | 0.0223783 | − | 0.0129201i | −0.488769 | − | 0.872413i | \(-0.662554\pi\) |
0.511147 | + | 0.859493i | \(0.329221\pi\) | |||||||
\(180\) | −4.79257 | − | 4.30998i | −0.357217 | − | 0.321247i | ||||
\(181\) | − | 3.27661i | − | 0.243548i | −0.992558 | − | 0.121774i | \(-0.961142\pi\) | ||
0.992558 | − | 0.121774i | \(-0.0388583\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.02918 | − | 0.639415i | 0.297846 | − | 0.0472669i | ||||
\(184\) | −7.10094 | − | 12.2992i | −0.523488 | − | 0.906708i | ||||
\(185\) | −1.19211 | −0.0876454 | ||||||||
\(186\) | 0.551842 | + | 3.47735i | 0.0404630 | + | 0.254972i | ||||
\(187\) | 7.03048i | 0.514120i | ||||||||
\(188\) | −3.47073 | −0.253129 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.17087 | −0.302587 | ||||||||
\(191\) | − | 7.39120i | − | 0.534808i | −0.963584 | − | 0.267404i | \(-0.913834\pi\) | ||
0.963584 | − | 0.267404i | \(-0.0861659\pi\) | |||||||
\(192\) | −0.503691 | − | 3.17393i | −0.0363507 | − | 0.229059i | ||||
\(193\) | 13.0285 | 0.937812 | 0.468906 | − | 0.883248i | \(-0.344648\pi\) | ||||
0.468906 | + | 0.883248i | \(0.344648\pi\) | |||||||
\(194\) | 5.56945 | + | 9.64658i | 0.399863 | + | 0.692584i | ||||
\(195\) | −5.40030 | + | 0.857007i | −0.386724 | + | 0.0613716i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 4.03035i | − | 0.287151i | −0.989639 | − | 0.143575i | \(-0.954140\pi\) | ||
0.989639 | − | 0.143575i | \(-0.0458599\pi\) | |||||||
\(198\) | −0.804246 | + | 3.79503i | −0.0571553 | + | 0.269701i | ||||
\(199\) | −14.2096 | + | 8.20390i | −1.00729 | + | 0.581559i | −0.910397 | − | 0.413736i | \(-0.864224\pi\) |
−0.0968925 | + | 0.995295i | \(0.530890\pi\) | |||||||
\(200\) | 6.29434 | + | 3.63404i | 0.445077 | + | 0.256965i | ||||
\(201\) | −0.0849180 | − | 0.535098i | −0.00598965 | − | 0.0377429i | ||||
\(202\) | 2.45433 | + | 1.41701i | 0.172686 | + | 0.0997003i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 7.79895 | − | 6.31940i | 0.546036 | − | 0.442446i | ||||
\(205\) | −17.0989 | −1.19424 | ||||||||
\(206\) | −1.49207 | − | 2.58434i | −0.103957 | − | 0.180060i | ||||
\(207\) | 11.3855 | − | 12.6603i | 0.791346 | − | 0.879954i | ||||
\(208\) | 2.21245 | + | 1.27736i | 0.153406 | + | 0.0885688i | ||||
\(209\) | −3.61199 | − | 6.25615i | −0.249847 | − | 0.432747i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.00827 | + | 10.4066i | −0.413627 | + | 0.716422i | −0.995283 | − | 0.0970121i | \(-0.969071\pi\) |
0.581657 | + | 0.813434i | \(0.302405\pi\) | |||||||
\(212\) | 1.47936 | − | 0.854108i | 0.101603 | − | 0.0586604i | ||||
\(213\) | −3.33461 | + | 0.529189i | −0.228483 | + | 0.0362594i | ||||
\(214\) | 2.03623 | − | 3.52686i | 0.139194 | − | 0.241091i | ||||
\(215\) | 5.45387 | − | 9.44638i | 0.371951 | − | 0.644238i | ||||
\(216\) | 11.5796 | − | 5.91341i | 0.787892 | − | 0.402357i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −7.46236 | + | 4.30839i | −0.505415 | + | 0.291801i | ||||
\(219\) | −3.05772 | − | 3.77362i | −0.206622 | − | 0.254998i | ||||
\(220\) | − | 3.86851i | − | 0.260815i | ||||||
\(221\) | − | 8.51535i | − | 0.572804i | ||||||
\(222\) | 0.366820 | − | 0.956467i | 0.0246193 | − | 0.0641939i | ||||
\(223\) | −22.7932 | + | 13.1597i | −1.52635 | + | 0.881237i | −0.526836 | + | 0.849967i | \(0.676622\pi\) |
−0.999511 | + | 0.0312693i | \(0.990045\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.80652 | + | 8.52449i | −0.120435 | + | 0.568300i | ||||
\(226\) | −2.60307 | + | 4.50865i | −0.173154 | + | 0.299911i | ||||
\(227\) | −5.40410 | + | 9.36018i | −0.358683 | + | 0.621257i | −0.987741 | − | 0.156101i | \(-0.950107\pi\) |
0.629058 | + | 0.777358i | \(0.283441\pi\) | |||||||
\(228\) | −3.69332 | + | 9.63019i | −0.244596 | + | 0.637775i | ||||
\(229\) | 8.39777 | − | 4.84846i | 0.554941 | − | 0.320395i | −0.196172 | − | 0.980570i | \(-0.562851\pi\) |
0.751112 | + | 0.660174i | \(0.229518\pi\) | |||||||
\(230\) | 2.95013 | − | 5.10977i | 0.194526 | − | 0.336928i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.2714 | + | 21.2547i | 0.805657 | + | 1.39544i | ||||
\(233\) | 1.92897 | + | 1.11369i | 0.126371 | + | 0.0729605i | 0.561853 | − | 0.827237i | \(-0.310089\pi\) |
−0.435482 | + | 0.900198i | \(0.643422\pi\) | |||||||
\(234\) | 0.974107 | − | 4.59655i | 0.0636793 | − | 0.300486i | ||||
\(235\) | −1.69247 | − | 2.93144i | −0.110404 | − | 0.191226i | ||||
\(236\) | 14.5323 | 0.945973 | ||||||||
\(237\) | 3.37486 | + | 21.2661i | 0.219220 | + | 1.38138i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.9697 | − | 9.22008i | −1.03299 | − | 0.596398i | −0.115151 | − | 0.993348i | \(-0.536735\pi\) |
−0.917840 | + | 0.396950i | \(0.870068\pi\) | |||||||
\(240\) | −2.28195 | + | 1.84904i | −0.147299 | + | 0.119355i | ||||
\(241\) | −5.60475 | − | 3.23591i | −0.361034 | − | 0.208443i | 0.308500 | − | 0.951224i | \(-0.400173\pi\) |
−0.669534 | + | 0.742781i | \(0.733506\pi\) | |||||||
\(242\) | 4.82508 | − | 2.78576i | 0.310168 | − | 0.179075i | ||||
\(243\) | 11.0394 | + | 11.0059i | 0.708181 | + | 0.706031i | ||||
\(244\) | − | 3.49591i | − | 0.223803i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 5.26147 | − | 13.7191i | 0.335459 | − | 0.874695i | ||||
\(247\) | 4.37486 | + | 7.57748i | 0.278366 | + | 0.482143i | ||||
\(248\) | 7.08266 | 0.449750 | ||||||||
\(249\) | 9.71387 | − | 7.87102i | 0.615591 | − | 0.498806i | ||||
\(250\) | 8.21748i | 0.519719i | ||||||||
\(251\) | 0.416679 | 0.0263005 | 0.0131503 | − | 0.999914i | \(-0.495814\pi\) | ||||
0.0131503 | + | 0.999914i | \(0.495814\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.2193 | 0.642481 | ||||||||
\(254\) | − | 0.632946i | − | 0.0397146i | ||||||
\(255\) | 9.14057 | + | 3.50555i | 0.572404 | + | 0.219526i | ||||
\(256\) | −11.1504 | −0.696899 | ||||||||
\(257\) | 10.5642 | + | 18.2977i | 0.658976 | + | 1.14138i | 0.980881 | + | 0.194607i | \(0.0623433\pi\) |
−0.321906 | + | 0.946772i | \(0.604323\pi\) | |||||||
\(258\) | 5.90095 | + | 7.28254i | 0.367377 | + | 0.453391i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 4.68556i | 0.290586i | ||||||||
\(261\) | −19.6757 | + | 21.8788i | −1.21789 | + | 1.35426i | ||||
\(262\) | −1.84994 | + | 1.06806i | −0.114290 | + | 0.0659851i | ||||
\(263\) | −19.2653 | − | 11.1228i | −1.18795 | − | 0.685862i | −0.230108 | − | 0.973165i | \(-0.573908\pi\) |
−0.957840 | + | 0.287304i | \(0.907241\pi\) | |||||||
\(264\) | 7.28625 | + | 2.79439i | 0.448437 | + | 0.171983i | ||||
\(265\) | 1.44279 | + | 0.832996i | 0.0886299 | + | 0.0511705i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 17.1099 | + | 6.56191i | 1.04711 | + | 0.401582i | ||||
\(268\) | −0.464277 | −0.0283602 | ||||||||
\(269\) | −14.5164 | − | 25.1432i | −0.885083 | − | 1.53301i | −0.845619 | − | 0.533788i | \(-0.820768\pi\) |
−0.0394642 | − | 0.999221i | \(-0.512565\pi\) | |||||||
\(270\) | 4.53303 | + | 2.93791i | 0.275871 | + | 0.178795i | ||||
\(271\) | −20.8174 | − | 12.0189i | −1.26456 | − | 0.730097i | −0.290610 | − | 0.956842i | \(-0.593858\pi\) |
−0.973954 | + | 0.226745i | \(0.927192\pi\) | |||||||
\(272\) | −2.28699 | − | 3.96118i | −0.138669 | − | 0.240182i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.27259 | − | 7.40034i | 0.258117 | − | 0.447071i | ||||
\(275\) | −4.52924 | + | 2.61496i | −0.273124 | + | 0.157688i | ||||
\(276\) | −9.18568 | − | 11.3363i | −0.552913 | − | 0.682366i | ||||
\(277\) | −4.03243 | + | 6.98437i | −0.242285 | + | 0.419650i | −0.961365 | − | 0.275278i | \(-0.911230\pi\) |
0.719080 | + | 0.694928i | \(0.244564\pi\) | |||||||
\(278\) | 4.31811 | − | 7.47918i | 0.258983 | − | 0.448572i | ||||
\(279\) | 2.62893 | + | 8.07431i | 0.157390 | + | 0.483396i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −12.0876 | + | 6.97879i | −0.721087 | + | 0.416320i | −0.815153 | − | 0.579246i | \(-0.803347\pi\) |
0.0940658 | + | 0.995566i | \(0.470014\pi\) | |||||||
\(282\) | 2.87278 | − | 0.455899i | 0.171071 | − | 0.0271484i | ||||
\(283\) | 15.5375i | 0.923609i | 0.886982 | + | 0.461805i | \(0.152798\pi\) | ||||
−0.886982 | + | 0.461805i | \(0.847202\pi\) | |||||||
\(284\) | 2.89326i | 0.171684i | ||||||||
\(285\) | −9.93485 | + | 1.57662i | −0.588490 | + | 0.0933911i | ||||
\(286\) | 2.44225 | − | 1.41003i | 0.144413 | − | 0.0833769i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −5.42950 | − | 16.6758i | −0.319937 | − | 0.982630i | ||||
\(289\) | 0.877036 | − | 1.51907i | 0.0515904 | − | 0.0893571i | ||||
\(290\) | −5.09823 | + | 8.83039i | −0.299378 | + | 0.518539i | ||||
\(291\) | 16.9127 | + | 20.8725i | 0.991440 | + | 1.22357i | ||||
\(292\) | −3.60442 | + | 2.08102i | −0.210933 | + | 0.121782i | ||||
\(293\) | 6.73712 | − | 11.6690i | 0.393587 | − | 0.681712i | −0.599333 | − | 0.800500i | \(-0.704567\pi\) |
0.992920 | + | 0.118788i | \(0.0379008\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.08655 | + | 12.2743i | 0.412595 | + | 0.714635i | ||||
\(296\) | −1.78462 | − | 1.03035i | −0.103729 | − | 0.0598879i | ||||
\(297\) | −0.481132 | + | 9.34361i | −0.0279181 | + | 0.542171i | ||||
\(298\) | 2.54196 | + | 4.40280i | 0.147252 | + | 0.255047i | ||||
\(299\) | −12.3776 | −0.715818 | ||||||||
\(300\) | 6.97193 | + | 2.67384i | 0.402525 | + | 0.154374i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −9.69114 | − | 5.59518i | −0.557663 | − | 0.321967i | ||||
\(303\) | 6.38175 | + | 2.44750i | 0.366622 | + | 0.140605i | ||||
\(304\) | 4.07020 | + | 2.34993i | 0.233442 | + | 0.134778i | ||||
\(305\) | 2.95271 | − | 1.70475i | 0.169072 | − | 0.0976136i | ||||
\(306\) | −5.62524 | + | 6.25510i | −0.321573 | + | 0.357580i | ||||
\(307\) | 8.62791i | 0.492421i | 0.969216 | + | 0.246210i | \(0.0791854\pi\) | ||||
−0.969216 | + | 0.246210i | \(0.920815\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.53095 | − | 5.59178i | −0.257757 | − | 0.318106i | ||||
\(310\) | 1.47127 | + | 2.54831i | 0.0835625 | + | 0.144734i | ||||
\(311\) | 16.2440 | 0.921113 | 0.460556 | − | 0.887630i | \(-0.347650\pi\) | ||||
0.460556 | + | 0.887630i | \(0.347650\pi\) | |||||||
\(312\) | −8.82513 | − | 3.38457i | −0.499625 | − | 0.191614i | ||||
\(313\) | − | 6.77692i | − | 0.383054i | −0.981487 | − | 0.191527i | \(-0.938656\pi\) | ||
0.981487 | − | 0.191527i | \(-0.0613440\pi\) | |||||||
\(314\) | −1.49830 | −0.0845538 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 18.4515 | 1.03798 | ||||||||
\(317\) | − | 21.9676i | − | 1.23382i | −0.787033 | − | 0.616911i | \(-0.788384\pi\) | ||
0.787033 | − | 0.616911i | \(-0.211616\pi\) | |||||||
\(318\) | −1.11230 | + | 0.901281i | −0.0623746 | + | 0.0505413i | ||||
\(319\) | −17.6603 | −0.988789 | ||||||||
\(320\) | −1.34289 | − | 2.32596i | −0.0750699 | − | 0.130025i | ||||
\(321\) | 3.51705 | − | 9.17056i | 0.196302 | − | 0.511850i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 15.6655i | − | 0.871654i | ||||||
\(324\) | 10.7974 | − | 7.86485i | 0.599855 | − | 0.436936i | ||||
\(325\) | 5.48584 | − | 3.16725i | 0.304299 | − | 0.175687i | ||||
\(326\) | −6.95320 | − | 4.01443i | −0.385102 | − | 0.222339i | ||||
\(327\) | −16.1464 | + | 13.0833i | −0.892900 | + | 0.723505i | ||||
\(328\) | −25.5976 | − | 14.7788i | −1.41339 | − | 0.816022i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.508150 | + | 3.20203i | 0.0279728 | + | 0.176266i | ||||
\(331\) | −14.6036 | −0.802685 | −0.401342 | − | 0.915928i | \(-0.631456\pi\) | ||||
−0.401342 | + | 0.915928i | \(0.631456\pi\) | |||||||
\(332\) | −5.35684 | − | 9.27833i | −0.293995 | − | 0.509214i | ||||
\(333\) | 0.512198 | − | 2.41693i | 0.0280683 | − | 0.132447i | ||||
\(334\) | 1.19508 | + | 0.689978i | 0.0653917 | + | 0.0377539i | ||||
\(335\) | −0.226400 | − | 0.392137i | −0.0123696 | − | 0.0214247i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.2629 | + | 28.1681i | −0.885894 | + | 1.53441i | −0.0412090 | + | 0.999151i | \(0.513121\pi\) |
−0.844685 | + | 0.535263i | \(0.820212\pi\) | |||||||
\(338\) | 5.12730 | − | 2.96025i | 0.278888 | − | 0.161016i | ||||
\(339\) | −4.49610 | + | 11.7234i | −0.244195 | + | 0.636728i | ||||
\(340\) | 4.19453 | − | 7.26514i | 0.227480 | − | 0.394007i | ||||
\(341\) | −2.54825 | + | 4.41370i | −0.137995 | + | 0.239015i | ||||
\(342\) | 1.79205 | − | 8.45621i | 0.0969029 | − | 0.457259i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 16.3292 | − | 9.42767i | 0.880412 | − | 0.508306i | ||||
\(345\) | 5.09555 | − | 13.2864i | 0.274335 | − | 0.715318i | ||||
\(346\) | − | 10.9347i | − | 0.587851i | ||||||
\(347\) | 3.18703i | 0.171089i | 0.996334 | + | 0.0855444i | \(0.0272630\pi\) | ||||
−0.996334 | + | 0.0855444i | \(0.972737\pi\) | |||||||
\(348\) | 15.8741 | + | 19.5907i | 0.850942 | + | 1.05017i | ||||
\(349\) | −6.48224 | + | 3.74252i | −0.346986 | + | 0.200333i | −0.663357 | − | 0.748303i | \(-0.730869\pi\) |
0.316371 | + | 0.948636i | \(0.397536\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.582750 | − | 11.3170i | 0.0311049 | − | 0.604058i | ||||
\(352\) | 5.26287 | − | 9.11556i | 0.280512 | − | 0.485861i | ||||
\(353\) | 5.69040 | − | 9.85606i | 0.302869 | − | 0.524585i | −0.673915 | − | 0.738809i | \(-0.735389\pi\) |
0.976785 | + | 0.214223i | \(0.0687220\pi\) | |||||||
\(354\) | −12.0286 | + | 1.90890i | −0.639315 | + | 0.101457i | ||||
\(355\) | −2.44370 | + | 1.41087i | −0.129698 | + | 0.0748814i | ||||
\(356\) | 7.85159 | − | 13.5994i | 0.416134 | − | 0.720764i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.124142 | + | 0.215020i | 0.00656109 | + | 0.0113641i | ||||
\(359\) | 4.77569 | + | 2.75725i | 0.252051 | + | 0.145522i | 0.620703 | − | 0.784046i | \(-0.286847\pi\) |
−0.368652 | + | 0.929568i | \(0.620181\pi\) | |||||||
\(360\) | 7.26616 | − | 8.07976i | 0.382960 | − | 0.425841i | ||||
\(361\) | −1.45164 | − | 2.51432i | −0.0764022 | − | 0.132332i | ||||
\(362\) | 2.35315 | 0.123679 | ||||||||
\(363\) | 10.4401 | − | 8.45949i | 0.547963 | − | 0.444008i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.51533 | − | 2.02958i | −0.184001 | − | 0.106233i | ||||
\(366\) | 0.459207 | + | 2.89362i | 0.0240031 | + | 0.151252i | ||||
\(367\) | 18.2753 | + | 10.5512i | 0.953962 | + | 0.550770i | 0.894309 | − | 0.447449i | \(-0.147667\pi\) |
0.0596526 | + | 0.998219i | \(0.481001\pi\) | |||||||
\(368\) | −5.75785 | + | 3.32430i | −0.300149 | + | 0.173291i | ||||
\(369\) | 7.34669 | − | 34.6671i | 0.382454 | − | 1.80470i | ||||
\(370\) | − | 0.856131i | − | 0.0445081i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 7.18665 | − | 1.14049i | 0.372611 | − | 0.0591318i | ||||
\(373\) | −7.68498 | − | 13.3108i | −0.397913 | − | 0.689206i | 0.595555 | − | 0.803314i | \(-0.296932\pi\) |
−0.993468 | + | 0.114109i | \(0.963599\pi\) | |||||||
\(374\) | −5.04906 | −0.261080 | ||||||||
\(375\) | 3.10627 | + | 19.5737i | 0.160407 | + | 1.01078i | ||||
\(376\) | − | 5.85127i | − | 0.301756i | ||||||
\(377\) | 21.3903 | 1.10166 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −32.3630 | −1.66238 | −0.831188 | − | 0.555991i | \(-0.812339\pi\) | ||||
−0.831188 | + | 0.555991i | \(0.812339\pi\) | |||||||
\(380\) | 8.61995i | 0.442194i | ||||||||
\(381\) | −0.239259 | − | 1.50765i | −0.0122576 | − | 0.0772394i | ||||
\(382\) | 5.30811 | 0.271587 | ||||||||
\(383\) | −9.91730 | − | 17.1773i | −0.506750 | − | 0.877718i | −0.999969 | − | 0.00781236i | \(-0.997513\pi\) |
0.493219 | − | 0.869905i | \(-0.335820\pi\) | |||||||
\(384\) | −17.7208 | + | 2.81222i | −0.904310 | + | 0.143510i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.35663i | 0.476240i | ||||||||
\(387\) | 16.8087 | + | 15.1161i | 0.854434 | + | 0.768395i | ||||
\(388\) | 19.9366 | − | 11.5104i | 1.01213 | − | 0.584352i | ||||
\(389\) | 4.41918 | + | 2.55141i | 0.224061 | + | 0.129362i | 0.607829 | − | 0.794068i | \(-0.292040\pi\) |
−0.383768 | + | 0.923429i | \(0.625374\pi\) | |||||||
\(390\) | −0.615474 | − | 3.87832i | −0.0311657 | − | 0.196386i | ||||
\(391\) | 19.1920 | + | 11.0805i | 0.970581 | + | 0.560365i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.00274 | + | 3.24337i | −0.201912 | + | 0.163607i | ||||
\(394\) | 2.89446 | 0.145821 | ||||||||
\(395\) | 8.99772 | + | 15.5845i | 0.452724 | + | 0.784141i | ||||
\(396\) | 7.84319 | + | 1.66214i | 0.394135 | + | 0.0835256i | ||||
\(397\) | 11.5288 | + | 6.65615i | 0.578613 | + | 0.334062i | 0.760582 | − | 0.649242i | \(-0.224914\pi\) |
−0.181969 | + | 0.983304i | \(0.558247\pi\) | |||||||
\(398\) | −5.89177 | − | 10.2048i | −0.295328 | − | 0.511522i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.70127 | − | 2.94669i | 0.0850636 | − | 0.147334i | ||||
\(401\) | 14.1750 | − | 8.18392i | 0.707864 | − | 0.408685i | −0.102406 | − | 0.994743i | \(-0.532654\pi\) |
0.810270 | + | 0.586057i | \(0.199321\pi\) | |||||||
\(402\) | 0.384289 | − | 0.0609852i | 0.0191666 | − | 0.00304167i | ||||
\(403\) | 3.08645 | − | 5.34589i | 0.153747 | − | 0.266298i | ||||
\(404\) | 2.92853 | − | 5.07237i | 0.145700 | − | 0.252360i | ||||
\(405\) | 11.9080 | + | 5.28446i | 0.591716 | + | 0.262587i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.28416 | − | 0.741412i | 0.0636536 | − | 0.0367504i | ||||
\(408\) | 10.6538 | + | 13.1482i | 0.527443 | + | 0.650933i | ||||
\(409\) | 4.33710i | 0.214456i | 0.994234 | + | 0.107228i | \(0.0341975\pi\) | ||||
−0.994234 | + | 0.107228i | \(0.965803\pi\) | |||||||
\(410\) | − | 12.2799i | − | 0.606460i | ||||||
\(411\) | 7.37975 | − | 19.2424i | 0.364016 | − | 0.949157i | ||||
\(412\) | −5.34107 | + | 3.08367i | −0.263135 | + | 0.151921i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 9.09223 | + | 8.17667i | 0.446859 | + | 0.401862i | ||||
\(415\) | 5.22443 | − | 9.04898i | 0.256457 | − | 0.444197i | ||||
\(416\) | −6.37441 | + | 11.0408i | −0.312531 | + | 0.541320i | ||||
\(417\) | 7.45837 | − | 19.4474i | 0.365238 | − | 0.952343i | ||||
\(418\) | 4.49296 | − | 2.59401i | 0.219758 | − | 0.126877i | ||||
\(419\) | −9.41294 | + | 16.3037i | −0.459852 | + | 0.796487i | −0.998953 | − | 0.0457540i | \(-0.985431\pi\) |
0.539100 | + | 0.842241i | \(0.318764\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.913453 | + | 1.58215i | 0.0445190 | + | 0.0771092i | 0.887426 | − | 0.460950i | \(-0.152491\pi\) |
−0.842907 | + | 0.538059i | \(0.819158\pi\) | |||||||
\(422\) | −7.47370 | − | 4.31494i | −0.363814 | − | 0.210048i | ||||
\(423\) | 6.67051 | − | 2.17186i | 0.324331 | − | 0.105600i | ||||
\(424\) | 1.43993 | + | 2.49404i | 0.0699294 | + | 0.121121i | ||||
\(425\) | −11.3413 | −0.550135 | ||||||||
\(426\) | −0.380046 | − | 2.39480i | −0.0184133 | − | 0.116029i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −7.28897 | − | 4.20829i | −0.352326 | − | 0.203415i | ||||
\(429\) | 5.28433 | − | 4.28182i | 0.255130 | − | 0.206728i | ||||
\(430\) | 6.78407 | + | 3.91679i | 0.327157 | + | 0.188884i | ||||
\(431\) | 12.4526 | − | 7.18954i | 0.599823 | − | 0.346308i | −0.169149 | − | 0.985590i | \(-0.554102\pi\) |
0.768972 | + | 0.639283i | \(0.220769\pi\) | |||||||
\(432\) | −2.76836 | − | 5.42098i | −0.133193 | − | 0.260817i | ||||
\(433\) | − | 2.22130i | − | 0.106749i | −0.998575 | − | 0.0533745i | \(-0.983002\pi\) | ||
0.998575 | − | 0.0533745i | \(-0.0169977\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.80582 | + | 22.9608i | −0.422207 | + | 1.10089i | ||||
\(436\) | 8.90417 | + | 15.4225i | 0.426432 | + | 0.738602i | ||||
\(437\) | −22.7710 | −1.08928 | ||||||||
\(438\) | 2.71009 | − | 2.19595i | 0.129493 | − | 0.104927i | ||||
\(439\) | − | 10.0448i | − | 0.479413i | −0.970845 | − | 0.239706i | \(-0.922949\pi\) | ||
0.970845 | − | 0.239706i | \(-0.0770512\pi\) | |||||||
\(440\) | 6.52190 | 0.310919 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.11544 | 0.290882 | ||||||||
\(443\) | − | 13.8934i | − | 0.660097i | −0.943964 | − | 0.330049i | \(-0.892935\pi\) | ||
0.943964 | − | 0.330049i | \(-0.107065\pi\) | |||||||
\(444\) | −1.97673 | − | 0.758107i | −0.0938116 | − | 0.0359782i | ||||
\(445\) | 15.3150 | 0.726002 | ||||||||
\(446\) | −9.45084 | − | 16.3693i | −0.447510 | − | 0.775110i | ||||
\(447\) | 7.71913 | + | 9.52640i | 0.365102 | + | 0.450583i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 10.5630i | − | 0.498498i | −0.968439 | − | 0.249249i | \(-0.919816\pi\) | ||
0.968439 | − | 0.249249i | \(-0.0801837\pi\) | |||||||
\(450\) | −6.12201 | − | 1.29738i | −0.288594 | − | 0.0611592i | ||||
\(451\) | 18.4194 | − | 10.6344i | 0.867334 | − | 0.500755i | ||||
\(452\) | 9.31804 | + | 5.37977i | 0.438284 | + | 0.253043i | ||||
\(453\) | −25.1989 | − | 9.66417i | −1.18395 | − | 0.454063i | ||||
\(454\) | −6.72217 | − | 3.88105i | −0.315487 | − | 0.182147i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −16.2355 | − | 6.22655i | −0.760295 | − | 0.291585i | ||||
\(457\) | 5.11307 | 0.239179 | 0.119590 | − | 0.992823i | \(-0.461842\pi\) | ||||
0.119590 | + | 0.992823i | \(0.461842\pi\) | |||||||
\(458\) | 3.48200 | + | 6.03100i | 0.162703 | + | 0.281810i | ||||
\(459\) | −11.0346 | + | 17.0258i | −0.515051 | + | 0.794696i | ||||
\(460\) | −10.5604 | − | 6.09704i | −0.492380 | − | 0.284276i | ||||
\(461\) | −4.16691 | − | 7.21730i | −0.194072 | − | 0.336143i | 0.752524 | − | 0.658565i | \(-0.228836\pi\) |
−0.946596 | + | 0.322422i | \(0.895503\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.0143 | − | 17.3452i | 0.465403 | − | 0.806102i | −0.533817 | − | 0.845600i | \(-0.679243\pi\) |
0.999220 | + | 0.0394986i | \(0.0125761\pi\) | |||||||
\(464\) | 9.95036 | − | 5.74484i | 0.461934 | − | 0.266698i | ||||
\(465\) | 4.46779 | + | 5.51383i | 0.207189 | + | 0.255698i | ||||
\(466\) | −0.799817 | + | 1.38532i | −0.0370508 | + | 0.0641739i | ||||
\(467\) | −10.3896 | + | 17.9953i | −0.480773 | + | 0.832723i | −0.999757 | − | 0.0220611i | \(-0.992977\pi\) |
0.518984 | + | 0.854784i | \(0.326310\pi\) | |||||||
\(468\) | −9.49971 | − | 2.01319i | −0.439124 | − | 0.0930597i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 2.10526 | − | 1.21547i | 0.0971085 | − | 0.0560656i | ||||
\(471\) | −3.56888 | + | 0.566368i | −0.164445 | + | 0.0260969i | ||||
\(472\) | 24.4999i | 1.12770i | ||||||||
\(473\) | 13.5678i | 0.623848i | ||||||||
\(474\) | −15.2726 | + | 2.42371i | −0.701496 | + | 0.111325i | ||||
\(475\) | 10.0922 | − | 5.82674i | 0.463062 | − | 0.267349i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.30876 | + | 2.56727i | −0.105711 | + | 0.117547i | ||||
\(478\) | 6.62156 | − | 11.4689i | 0.302863 | − | 0.524574i | ||||
\(479\) | 16.0308 | − | 27.7662i | 0.732468 | − | 1.26867i | −0.223357 | − | 0.974737i | \(-0.571702\pi\) |
0.955825 | − | 0.293935i | \(-0.0949650\pi\) | |||||||
\(480\) | −9.22727 | − | 11.3876i | −0.421165 | − | 0.519773i | ||||
\(481\) | −1.55538 | + | 0.898002i | −0.0709194 | + | 0.0409454i | ||||
\(482\) | 2.32392 | − | 4.02515i | 0.105852 | − | 0.183340i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.75734 | − | 9.97200i | −0.261697 | − | 0.453273i | ||||
\(485\) | 19.4438 | + | 11.2259i | 0.882897 | + | 0.509741i | ||||
\(486\) | −7.90410 | + | 7.92816i | −0.358537 | + | 0.359629i | ||||
\(487\) | 11.8375 | + | 20.5032i | 0.536408 | + | 0.929087i | 0.999094 | + | 0.0425641i | \(0.0135527\pi\) |
−0.462685 | + | 0.886523i | \(0.653114\pi\) | |||||||
\(488\) | 5.89373 | 0.266796 | ||||||||
\(489\) | −18.0797 | − | 6.93385i | −0.817594 | − | 0.313560i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 15.4664 | + | 8.92951i | 0.697987 | + | 0.402983i | 0.806597 | − | 0.591101i | \(-0.201307\pi\) |
−0.108610 | + | 0.994084i | \(0.534640\pi\) | |||||||
\(492\) | −28.3532 | − | 10.8739i | −1.27826 | − | 0.490233i | ||||
\(493\) | −33.1664 | − | 19.1486i | −1.49374 | − | 0.862411i | ||||
\(494\) | −5.44189 | + | 3.14188i | −0.244842 | + | 0.141360i | ||||
\(495\) | 2.42079 | + | 7.43503i | 0.108806 | + | 0.334180i | ||||
\(496\) | − | 3.31574i | − | 0.148881i | ||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 5.65271 | + | 6.97617i | 0.253304 | + | 0.312610i | ||||
\(499\) | 11.5602 | + | 20.0229i | 0.517506 | + | 0.896346i | 0.999793 | + | 0.0203330i | \(0.00647265\pi\) |
−0.482288 | + | 0.876013i | \(0.660194\pi\) | |||||||
\(500\) | 16.9831 | 0.759506 | ||||||||
\(501\) | 3.10744 | + | 1.19175i | 0.138830 | + | 0.0532436i | ||||
\(502\) | 0.299245i | 0.0133560i | ||||||||
\(503\) | −13.9995 | −0.624206 | −0.312103 | − | 0.950048i | \(-0.601033\pi\) | ||||
−0.312103 | + | 0.950048i | \(0.601033\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.71228 | 0.254193 | ||||||||
\(506\) | 7.33915i | 0.326265i | ||||||||
\(507\) | 11.0940 | − | 8.98935i | 0.492703 | − | 0.399231i | ||||
\(508\) | −1.30811 | −0.0580381 | ||||||||
\(509\) | 6.79171 | + | 11.7636i | 0.301037 | + | 0.521411i | 0.976371 | − | 0.216100i | \(-0.0693339\pi\) |
−0.675334 | + | 0.737512i | \(0.736001\pi\) | |||||||
\(510\) | −2.51757 | + | 6.56445i | −0.111480 | + | 0.290679i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 12.7104i | 0.561727i | ||||||||
\(513\) | 1.07208 | − | 20.8198i | 0.0473333 | − | 0.919214i | ||||
\(514\) | −13.1408 | + | 7.58684i | −0.579616 | + | 0.334641i | ||||
\(515\) | −5.20904 | − | 3.00744i | −0.229538 | − | 0.132524i | ||||
\(516\) | 15.0508 | − | 12.1955i | 0.662577 | − | 0.536878i | ||||
\(517\) | 3.64633 | + | 2.10521i | 0.160365 | + | 0.0925870i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.13339 | − | 26.0459i | −0.181435 | − | 1.14329i | ||||
\(520\) | −7.89935 | −0.346409 | ||||||||
\(521\) | 15.9477 | + | 27.6222i | 0.698682 | + | 1.21015i | 0.968924 | + | 0.247360i | \(0.0795630\pi\) |
−0.270242 | + | 0.962792i | \(0.587104\pi\) | |||||||
\(522\) | −15.7126 | − | 14.1304i | −0.687723 | − | 0.618472i | ||||
\(523\) | 1.20531 | + | 0.695886i | 0.0527046 | + | 0.0304290i | 0.526121 | − | 0.850410i | \(-0.323646\pi\) |
−0.473416 | + | 0.880839i | \(0.656979\pi\) | |||||||
\(524\) | 2.20737 | + | 3.82327i | 0.0964293 | + | 0.167020i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.98803 | − | 13.8357i | 0.348295 | − | 0.603264i | ||||
\(527\) | −9.57131 | + | 5.52600i | −0.416933 | + | 0.240716i | ||||
\(528\) | 1.30819 | − | 3.41105i | 0.0569316 | − | 0.148447i | ||||
\(529\) | 4.60628 | − | 7.97832i | 0.200273 | − | 0.346883i | ||||
\(530\) | −0.598230 | + | 1.03616i | −0.0259854 | + | 0.0450081i | ||||
\(531\) | −27.9301 | + | 9.09384i | −1.21207 | + | 0.394639i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −22.3096 | + | 12.8805i | −0.966337 | + | 0.557915i | ||||
\(534\) | −4.71254 | + | 12.2878i | −0.203932 | + | 0.531744i | ||||
\(535\) | − | 8.20854i | − | 0.354886i | ||||||
\(536\) | − | 0.782720i | − | 0.0338084i | ||||||
\(537\) | 0.376979 | + | 0.465242i | 0.0162679 | + | 0.0200767i | ||||
\(538\) | 18.0570 | − | 10.4252i | 0.778493 | − | 0.449463i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 6.07178 | − | 9.36842i | 0.261288 | − | 0.403153i | ||||
\(541\) | 12.9736 | − | 22.4709i | 0.557779 | − | 0.966101i | −0.439903 | − | 0.898045i | \(-0.644987\pi\) |
0.997682 | − | 0.0680555i | \(-0.0216795\pi\) | |||||||
\(542\) | 8.63158 | − | 14.9503i | 0.370758 | − | 0.642172i | ||||
\(543\) | 5.60511 | − | 0.889509i | 0.240538 | − | 0.0381725i | ||||
\(544\) | 19.7675 | − | 11.4128i | 0.847525 | − | 0.489319i | ||||
\(545\) | −8.68407 | + | 15.0413i | −0.371985 | + | 0.644296i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.32438 | − | 16.1503i | −0.398682 | − | 0.690537i | 0.594882 | − | 0.803813i | \(-0.297199\pi\) |
−0.993564 | + | 0.113276i | \(0.963865\pi\) | |||||||
\(548\) | −15.2943 | − | 8.83017i | −0.653340 | − | 0.377206i | ||||
\(549\) | 2.18762 | + | 6.71891i | 0.0933655 | + | 0.286756i | ||||
\(550\) | −1.87798 | − | 3.25275i | −0.0800772 | − | 0.138698i | ||||
\(551\) | 39.3514 | 1.67642 | ||||||||
\(552\) | 19.1118 | − | 15.4861i | 0.813453 | − | 0.659131i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −5.01594 | − | 2.89595i | −0.213107 | − | 0.123037i | ||||
\(555\) | −0.323624 | − | 2.03927i | −0.0137371 | − | 0.0865621i | ||||
\(556\) | −15.4572 | − | 8.92424i | −0.655533 | − | 0.378472i | ||||
\(557\) | −36.3567 | + | 20.9905i | −1.54048 | + | 0.889398i | −0.541674 | + | 0.840589i | \(0.682209\pi\) |
−0.998808 | + | 0.0488092i | \(0.984457\pi\) | |||||||
\(558\) | −5.79870 | + | 1.88801i | −0.245479 | + | 0.0799259i | ||||
\(559\) | − | 16.4334i | − | 0.695058i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −12.0266 | + | 1.90858i | −0.507765 | + | 0.0805804i | ||||
\(562\) | −5.01193 | − | 8.68092i | −0.211416 | − | 0.366183i | ||||
\(563\) | −38.6011 | −1.62684 | −0.813422 | − | 0.581675i | \(-0.802398\pi\) | ||||
−0.813422 | + | 0.581675i | \(0.802398\pi\) | |||||||
\(564\) | −0.942207 | − | 5.93718i | −0.0396741 | − | 0.250000i | ||||
\(565\) | 10.4936i | 0.441468i | ||||||||
\(566\) | −11.1585 | −0.469028 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.87773 | −0.204665 | ||||||||
\(569\) | 35.1560i | 1.47382i | 0.675993 | + | 0.736908i | \(0.263715\pi\) | ||||
−0.675993 | + | 0.736908i | \(0.736285\pi\) | |||||||
\(570\) | −1.13228 | − | 7.13488i | −0.0474259 | − | 0.298847i | ||||
\(571\) | −35.3532 | −1.47948 | −0.739742 | − | 0.672891i | \(-0.765052\pi\) | ||||
−0.739742 | + | 0.672891i | \(0.765052\pi\) | |||||||
\(572\) | −2.91411 | − | 5.04739i | −0.121845 | − | 0.211042i | ||||
\(573\) | 12.6437 | − | 2.00651i | 0.528198 | − | 0.0838230i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 16.4854i | 0.687489i | ||||||||
\(576\) | 5.29273 | − | 1.72327i | 0.220530 | − | 0.0718029i | ||||
\(577\) | −23.2557 | + | 13.4267i | −0.968147 | + | 0.558960i | −0.898671 | − | 0.438624i | \(-0.855466\pi\) |
−0.0694761 | + | 0.997584i | \(0.522133\pi\) | |||||||
\(578\) | 1.09095 | + | 0.629858i | 0.0453774 | + | 0.0261986i | ||||
\(579\) | 3.53688 | + | 22.2871i | 0.146988 | + | 0.926221i | ||||
\(580\) | 18.2498 | + | 10.5365i | 0.757781 | + | 0.437505i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −14.9899 | + | 12.1461i | −0.621352 | + | 0.503473i | ||||
\(583\) | −2.07228 | −0.0858249 | ||||||||
\(584\) | −3.50837 | − | 6.07667i | −0.145177 | − | 0.251454i | ||||
\(585\) | −2.93207 | − | 9.00534i | −0.121226 | − | 0.372325i | ||||
\(586\) | 8.38031 | + | 4.83837i | 0.346187 | + | 0.199871i | ||||
\(587\) | 15.6788 | + | 27.1565i | 0.647134 | + | 1.12087i | 0.983804 | + | 0.179246i | \(0.0573657\pi\) |
−0.336671 | + | 0.941622i | \(0.609301\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.67809 | − | 9.83474i | 0.233962 | − | 0.405234i | ||||
\(590\) | −8.81496 | + | 5.08932i | −0.362906 | + | 0.209524i | ||||
\(591\) | 6.89450 | − | 1.09413i | 0.283602 | − | 0.0450065i | ||||
\(592\) | −0.482357 | + | 0.835467i | −0.0198248 | + | 0.0343375i | ||||
\(593\) | −4.56131 | + | 7.90043i | −0.187311 | + | 0.324432i | −0.944353 | − | 0.328935i | \(-0.893310\pi\) |
0.757042 | + | 0.653366i | \(0.226644\pi\) | |||||||
\(594\) | −6.71027 | − | 0.345533i | −0.275326 | − | 0.0141774i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 9.09927 | − | 5.25347i | 0.372721 | − | 0.215190i | ||||
\(597\) | −17.8915 | − | 22.0804i | −0.732248 | − | 0.903690i | ||||
\(598\) | − | 8.88921i | − | 0.363507i | ||||||
\(599\) | 1.28537i | 0.0525186i | 0.999655 | + | 0.0262593i | \(0.00835956\pi\) | ||||
−0.999655 | + | 0.0262593i | \(0.991640\pi\) | |||||||
\(600\) | −4.50781 | + | 11.7539i | −0.184030 | + | 0.479852i | ||||
\(601\) | −16.7126 | + | 9.64903i | −0.681721 | + | 0.393592i | −0.800503 | − | 0.599328i | \(-0.795434\pi\) |
0.118782 | + | 0.992920i | \(0.462101\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.892309 | − | 0.290529i | 0.0363376 | − | 0.0118312i | ||||
\(604\) | −11.5636 | + | 20.0287i | −0.470515 | + | 0.814956i | ||||
\(605\) | 5.61502 | − | 9.72551i | 0.228283 | − | 0.395398i | ||||
\(606\) | −1.75771 | + | 4.58316i | −0.0714022 | + | 0.186178i | ||||
\(607\) | −33.7319 | + | 19.4751i | −1.36913 | + | 0.790470i | −0.990817 | − | 0.135206i | \(-0.956830\pi\) |
−0.378317 | + | 0.925676i | \(0.623497\pi\) | |||||||
\(608\) | −11.7269 | + | 20.3116i | −0.475589 | + | 0.823744i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.22429 | + | 2.12054i | 0.0495702 | + | 0.0858581i | ||||
\(611\) | −4.41645 | − | 2.54984i | −0.178670 | − | 0.103155i | ||||
\(612\) | 12.9274 | + | 11.6257i | 0.522561 | + | 0.469941i | ||||
\(613\) | −3.65018 | − | 6.32229i | −0.147429 | − | 0.255355i | 0.782847 | − | 0.622214i | \(-0.213767\pi\) |
−0.930277 | + | 0.366859i | \(0.880433\pi\) | |||||||
\(614\) | −6.19628 | −0.250061 | ||||||||
\(615\) | −4.64189 | − | 29.2502i | −0.187179 | − | 1.17948i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 38.3641 | + | 22.1495i | 1.54448 | + | 0.891706i | 0.998548 | + | 0.0538763i | \(0.0171577\pi\) |
0.545932 | + | 0.837829i | \(0.316176\pi\) | |||||||
\(618\) | 4.01583 | − | 3.25398i | 0.161541 | − | 0.130894i | ||||
\(619\) | 0.408449 | + | 0.235818i | 0.0164169 | + | 0.00947832i | 0.508186 | − | 0.861247i | \(-0.330316\pi\) |
−0.491769 | + | 0.870726i | \(0.663650\pi\) | |||||||
\(620\) | 5.26660 | − | 3.04068i | 0.211512 | − | 0.122116i | ||||
\(621\) | 24.7482 | + | 16.0396i | 0.993110 | + | 0.643646i | ||||
\(622\) | 11.6659i | 0.467760i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.58448 | + | 4.13148i | −0.0634302 | + | 0.165391i | ||||
\(625\) | 1.02013 | + | 1.76692i | 0.0408052 | + | 0.0706768i | ||||
\(626\) | 4.86696 | 0.194523 | ||||||||
\(627\) | 9.72149 | − | 7.87720i | 0.388239 | − | 0.314585i | ||||
\(628\) | 3.09653i | 0.123565i | ||||||||
\(629\) | 3.21558 | 0.128213 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.2247 | 0.407038 | 0.203519 | − | 0.979071i | \(-0.434762\pi\) | ||||
0.203519 | + | 0.979071i | \(0.434762\pi\) | |||||||
\(632\) | 31.1073i | 1.23738i | ||||||||
\(633\) | −19.4331 | − | 7.45290i | −0.772398 | − | 0.296226i | ||||
\(634\) | 15.7764 | 0.626560 | ||||||||
\(635\) | −0.637888 | − | 1.10485i | −0.0253138 | − | 0.0438448i | ||||
\(636\) | 1.86268 | + | 2.29879i | 0.0738601 | + | 0.0911529i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 12.6831i | − | 0.502127i | ||||||
\(639\) | −1.81051 | − | 5.56066i | −0.0716226 | − | 0.219976i | ||||
\(640\) | −12.9863 | + | 7.49767i | −0.513330 | + | 0.296371i | ||||
\(641\) | 43.4584 | + | 25.0907i | 1.71651 | + | 0.991025i | 0.925091 | + | 0.379745i | \(0.123988\pi\) |
0.791414 | + | 0.611280i | \(0.209345\pi\) | |||||||
\(642\) | 6.58599 | + | 2.52583i | 0.259928 | + | 0.0996864i | ||||
\(643\) | 9.18633 | + | 5.30373i | 0.362274 | + | 0.209159i | 0.670078 | − | 0.742291i | \(-0.266261\pi\) |
−0.307804 | + | 0.951450i | \(0.599594\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 17.6400 | + | 6.76520i | 0.694573 | + | 0.266379i | ||||
\(646\) | 11.2505 | 0.442644 | ||||||||
\(647\) | 14.9203 | + | 25.8427i | 0.586577 | + | 1.01598i | 0.994677 | + | 0.103044i | \(0.0328582\pi\) |
−0.408100 | + | 0.912937i | \(0.633809\pi\) | |||||||
\(648\) | 13.2593 | + | 18.2032i | 0.520874 | + | 0.715091i | ||||
\(649\) | −15.2676 | − | 8.81474i | −0.599305 | − | 0.346009i | ||||
\(650\) | 2.27461 | + | 3.93975i | 0.0892177 | + | 0.154530i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.29664 | + | 14.3702i | −0.324921 | + | 0.562780i | ||||
\(653\) | −30.5327 | + | 17.6281i | −1.19484 | + | 0.689839i | −0.959400 | − | 0.282050i | \(-0.908986\pi\) |
−0.235437 | + | 0.971890i | \(0.575652\pi\) | |||||||
\(654\) | −9.39595 | − | 11.5958i | −0.367411 | − | 0.453433i | ||||
\(655\) | −2.15280 | + | 3.72877i | −0.0841170 | + | 0.145695i | ||||
\(656\) | −6.91868 | + | 11.9835i | −0.270129 | + | 0.467877i | ||||
\(657\) | 5.62524 | − | 6.25510i | 0.219461 | − | 0.244035i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 29.3751 | − | 16.9597i | 1.14429 | − | 0.660656i | 0.196801 | − | 0.980443i | \(-0.436945\pi\) |
0.947489 | + | 0.319787i | \(0.103611\pi\) | |||||||
\(660\) | 6.61765 | − | 1.05020i | 0.257592 | − | 0.0408788i | ||||
\(661\) | − | 15.7674i | − | 0.613281i | −0.951825 | − | 0.306641i | \(-0.900795\pi\) | ||
0.951825 | − | 0.306641i | \(-0.0992050\pi\) | |||||||
\(662\) | − | 10.4878i | − | 0.407620i | ||||||
\(663\) | 14.5667 | − | 2.31168i | 0.565725 | − | 0.0897783i | ||||
\(664\) | 15.6423 | − | 9.03106i | 0.607037 | − | 0.350473i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.73576 | + | 0.367843i | 0.0672592 | + | 0.0142536i | ||||
\(667\) | −27.8339 | + | 48.2097i | −1.07773 | + | 1.86669i | ||||
\(668\) | 1.42598 | − | 2.46987i | 0.0551728 | − | 0.0955621i | ||||
\(669\) | −28.6992 | − | 35.4186i | −1.10958 | − | 1.36936i | ||||
\(670\) | 0.281619 | − | 0.162593i | 0.0108799 | − | 0.00628152i | ||||
\(671\) | −2.12048 | + | 3.67279i | −0.0818604 | + | 0.141786i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.35627 | − | 12.7414i | −0.283563 | − | 0.491146i | 0.688696 | − | 0.725050i | \(-0.258183\pi\) |
−0.972260 | + | 0.233904i | \(0.924850\pi\) | |||||||
\(674\) | −20.2294 | − | 11.6794i | −0.779207 | − | 0.449875i | ||||
\(675\) | −15.0728 | − | 0.776146i | −0.580152 | − | 0.0298739i | ||||
\(676\) | −6.11795 | − | 10.5966i | −0.235306 | − | 0.407562i | ||||
\(677\) | −3.98434 | −0.153131 | −0.0765654 | − | 0.997065i | \(-0.524395\pi\) | ||||
−0.0765654 | + | 0.997065i | \(0.524395\pi\) | |||||||
\(678\) | −8.41936 | − | 3.22895i | −0.323344 | − | 0.124007i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 12.2482 | + | 7.07152i | 0.469698 | + | 0.271181i | ||||
\(681\) | −17.4790 | − | 6.70347i | −0.669797 | − | 0.256877i | ||||
\(682\) | −3.16977 | − | 1.83007i | −0.121377 | − | 0.0700769i | ||||
\(683\) | 19.2812 | − | 11.1320i | 0.737774 | − | 0.425954i | −0.0834856 | − | 0.996509i | \(-0.526605\pi\) |
0.821259 | + | 0.570555i | \(0.193272\pi\) | |||||||
\(684\) | −17.4765 | − | 3.70363i | −0.668229 | − | 0.141612i | ||||
\(685\) | − | 17.2238i | − | 0.658088i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 10.5737 | + | 13.0494i | 0.403414 | + | 0.497865i | ||||
\(688\) | −4.41356 | − | 7.64450i | −0.168265 | − | 0.291444i | ||||
\(689\) | 2.50995 | 0.0956215 | ||||||||
\(690\) | 9.54188 | + | 3.65946i | 0.363253 | + | 0.139313i | ||||
\(691\) | 48.3823i | 1.84055i | 0.391271 | + | 0.920275i | \(0.372035\pi\) | ||||
−0.391271 | + | 0.920275i | \(0.627965\pi\) | |||||||
\(692\) | −22.5987 | −0.859073 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −2.28882 | −0.0868824 | ||||||||
\(695\) | − | 17.4073i | − | 0.660297i | ||||||
\(696\) | −33.0278 | + | 26.7620i | −1.25192 | + | 1.01441i | ||||
\(697\) | 46.1225 | 1.74701 | ||||||||
\(698\) | −2.68775 | − | 4.65533i | −0.101733 | − | 0.176207i | ||||
\(699\) | −1.38147 | + | 3.60212i | −0.0522520 | + | 0.136245i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 23.3129i | 0.880514i | 0.897872 | + | 0.440257i | \(0.145113\pi\) | ||||
−0.897872 | + | 0.440257i | \(0.854887\pi\) | |||||||
\(702\) | 8.12751 | + | 0.418511i | 0.306753 | + | 0.0157957i | ||||
\(703\) | −2.86142 | + | 1.65204i | −0.107920 | + | 0.0623079i | ||||
\(704\) | 2.89319 | + | 1.67038i | 0.109041 | + | 0.0629549i | ||||
\(705\) | 4.55519 | − | 3.69101i | 0.171558 | − | 0.139012i | ||||
\(706\) | 7.07830 | + | 4.08666i | 0.266395 | + | 0.153803i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 3.94512 | + | 24.8596i | 0.148267 | + | 0.934281i | ||||
\(709\) | 17.6777 | 0.663899 | 0.331949 | − | 0.943297i | \(-0.392294\pi\) | ||||
0.331949 | + | 0.943297i | \(0.392294\pi\) | |||||||
\(710\) | −1.01324 | − | 1.75499i | −0.0380263 | − | 0.0658635i | ||||
\(711\) | −35.4626 | + | 11.5464i | −1.32995 | + | 0.433022i | ||||
\(712\) | 22.9270 | + | 13.2369i | 0.859227 | + | 0.496075i | ||||
\(713\) | 8.03242 | + | 13.9126i | 0.300817 | + | 0.521030i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.84208 | − | 4.92263i | 0.106288 | − | 0.184096i | ||||
\(716\) | 0.444382 | − | 0.256564i | 0.0166073 | − | 0.00958824i | ||||
\(717\) | 11.4370 | − | 29.8214i | 0.427121 | − | 1.11370i | ||||
\(718\) | −1.98016 | + | 3.42974i | −0.0738990 | + | 0.127997i | ||||
\(719\) | 15.2102 | − | 26.3449i | 0.567246 | − | 0.982498i | −0.429591 | − | 0.903024i | \(-0.641342\pi\) |
0.996837 | − | 0.0794749i | \(-0.0253244\pi\) | |||||||
\(720\) | −3.78253 | − | 3.40164i | −0.140967 | − | 0.126772i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 1.80570 | − | 1.04252i | 0.0672011 | − | 0.0387986i | ||||
\(723\) | 4.01395 | − | 10.4662i | 0.149280 | − | 0.389242i | ||||
\(724\) | − | 4.86326i | − | 0.180742i | ||||||
\(725\) | − | 28.4890i | − | 1.05806i | ||||||
\(726\) | 6.07532 | + | 7.49773i | 0.225476 | + | 0.278267i | ||||
\(727\) | 38.5219 | − | 22.2406i | 1.42870 | − | 0.824859i | 0.431680 | − | 0.902027i | \(-0.357921\pi\) |
0.997018 | + | 0.0771674i | \(0.0245876\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −15.8303 | + | 21.8724i | −0.586308 | + | 0.810088i | ||||
\(730\) | 1.45757 | − | 2.52459i | 0.0539472 | − | 0.0934393i | ||||
\(731\) | −14.7112 | + | 25.4806i | −0.544114 | + | 0.942433i | ||||
\(732\) | 5.98026 | − | 0.949044i | 0.221037 | − | 0.0350777i | ||||
\(733\) | 39.2270 | − | 22.6477i | 1.44888 | − | 0.836512i | 0.450466 | − | 0.892794i | \(-0.351258\pi\) |
0.998415 | + | 0.0562818i | \(0.0179245\pi\) | |||||||
\(734\) | −7.57755 | + | 13.1247i | −0.279692 | + | 0.484442i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −16.5893 | − | 28.7335i | −0.611489 | − | 1.05913i | ||||
\(737\) | 0.487767 | + | 0.281612i | 0.0179671 | + | 0.0103733i | ||||
\(738\) | 24.8968 | + | 5.27615i | 0.916463 | + | 0.194218i | ||||
\(739\) | −10.3086 | − | 17.8550i | −0.379208 | − | 0.656808i | 0.611739 | − | 0.791060i | \(-0.290470\pi\) |
−0.990947 | + | 0.134252i | \(0.957137\pi\) | |||||||
\(740\) | −1.76937 | −0.0650432 | ||||||||
\(741\) | −11.7747 | + | 9.54090i | −0.432555 | + | 0.350494i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 7.69885 | + | 4.44493i | 0.282443 | + | 0.163069i | 0.634529 | − | 0.772899i | \(-0.281194\pi\) |
−0.352086 | + | 0.935968i | \(0.614527\pi\) | |||||||
\(744\) | 1.92275 | + | 12.1159i | 0.0704914 | + | 0.444191i | ||||
\(745\) | 8.87435 | + | 5.12361i | 0.325131 | + | 0.187714i | ||||
\(746\) | 9.55935 | − | 5.51909i | 0.349993 | − | 0.202068i | ||||
\(747\) | 16.1016 | + | 14.4802i | 0.589126 | + | 0.529803i | ||||
\(748\) | 10.4349i | 0.381538i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −14.0572 | + | 2.23082i | −0.513295 | + | 0.0814580i | ||||
\(751\) | 12.5008 | + | 21.6521i | 0.456162 | + | 0.790095i | 0.998754 | − | 0.0499007i | \(-0.0158905\pi\) |
−0.542592 | + | 0.839996i | \(0.682557\pi\) | |||||||
\(752\) | −2.73927 | −0.0998907 | ||||||||
\(753\) | 0.113117 | + | 0.712789i | 0.00412221 | + | 0.0259755i | ||||
\(754\) | 15.3618i | 0.559443i | ||||||||
\(755\) | −22.5555 | −0.820878 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −27.1262 | −0.985919 | −0.492959 | − | 0.870052i | \(-0.664085\pi\) | ||||
−0.492959 | + | 0.870052i | \(0.664085\pi\) | |||||||
\(758\) | − | 23.2420i | − | 0.844189i | ||||||
\(759\) | 2.77426 | + | 17.4816i | 0.100699 | + | 0.634541i | ||||
\(760\) | −14.5323 | −0.527142 | ||||||||
\(761\) | 1.58366 | + | 2.74298i | 0.0574075 | + | 0.0994328i | 0.893301 | − | 0.449459i | \(-0.148383\pi\) |
−0.835893 | + | 0.548892i | \(0.815050\pi\) | |||||||
\(762\) | 1.08275 | − | 0.171828i | 0.0392237 | − | 0.00622465i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 10.9703i | − | 0.396891i | ||||||
\(765\) | −3.51533 | + | 16.5879i | −0.127097 | + | 0.599737i | ||||
\(766\) | 12.3361 | − | 7.12228i | 0.445723 | − | 0.257338i | ||||
\(767\) | 18.4922 | + | 10.6765i | 0.667713 | + | 0.385504i | ||||
\(768\) | −3.02702 | − | 19.0743i | −0.109228 | − | 0.688286i | ||||
\(769\) | 2.48873 | + | 1.43687i | 0.0897460 | + | 0.0518149i | 0.544201 | − | 0.838955i | \(-0.316833\pi\) |
−0.454455 | + | 0.890770i | \(0.650166\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −28.4330 | + | 23.0389i | −1.02399 | + | 0.829725i | ||||
\(772\) | 19.3374 | 0.695967 | ||||||||
\(773\) | 6.15679 | + | 10.6639i | 0.221444 | + | 0.383553i | 0.955247 | − | 0.295810i | \(-0.0955895\pi\) |
−0.733802 | + | 0.679363i | \(0.762256\pi\) | |||||||
\(774\) | −10.8559 | + | 12.0714i | −0.390207 | + | 0.433899i | ||||
\(775\) | −7.12002 | − | 4.11075i | −0.255759 | − | 0.147662i | ||||
\(776\) | 19.4053 | + | 33.6110i | 0.696610 | + | 1.20656i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.83234 | + | 3.17371i | −0.0656926 | + | 0.113783i | ||||
\(779\) | −41.0426 | + | 23.6960i | −1.47051 | + | 0.848997i | ||||
\(780\) | −8.01533 | + | 1.27200i | −0.286995 | + | 0.0455450i | ||||
\(781\) | 1.75494 | − | 3.03965i | 0.0627968 | − | 0.108767i | ||||
\(782\) | −7.95765 | + | 13.7831i | −0.284565 | + | 0.492881i | ||||
\(783\) | −42.7682 | − | 27.7186i | −1.52841 | − | 0.990581i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.61539 | + | 1.51000i | −0.0933473 | + | 0.0538941i | ||||
\(786\) | −2.32928 | − | 2.87464i | −0.0830827 | − | 0.102535i | ||||
\(787\) | − | 3.81570i | − | 0.136015i | −0.997685 | − | 0.0680076i | \(-0.978336\pi\) | ||
0.997685 | − | 0.0680076i | \(-0.0216642\pi\) | |||||||
\(788\) | − | 5.98200i | − | 0.213100i | ||||||
\(789\) | 13.7972 | − | 35.9755i | 0.491192 | − | 1.28076i | ||||
\(790\) | −11.1923 | + | 6.46186i | −0.398203 | + | 0.229903i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −2.80218 | + | 13.2228i | −0.0995713 | + | 0.469851i | ||||
\(793\) | 2.56834 | − | 4.44849i | 0.0912044 | − | 0.157971i | ||||
\(794\) | −4.78022 | + | 8.27959i | −0.169644 | + | 0.293832i | ||||
\(795\) | −1.03328 | + | 2.69424i | −0.0366467 | + | 0.0955547i | ||||
\(796\) | −21.0904 | + | 12.1765i | −0.747528 | + | 0.431585i | ||||
\(797\) | 24.5682 | − | 42.5535i | 0.870252 | − | 1.50732i | 0.00851609 | − | 0.999964i | \(-0.497289\pi\) |
0.861736 | − | 0.507357i | \(-0.169377\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.56524 | + | 7.90724i | 0.161507 | + | 0.279738i | ||||
\(800\) | 14.7049 | + | 8.48988i | 0.519897 | + | 0.300162i | ||||
\(801\) | −6.58022 | + | 31.0503i | −0.232501 | + | 1.09711i | ||||
\(802\) | 5.87742 | + | 10.1800i | 0.207539 | + | 0.359468i | ||||
\(803\) | 5.04906 | 0.178177 | ||||||||
\(804\) | −0.126038 | − | 0.794212i | −0.00444503 | − | 0.0280097i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 3.83924 | + | 2.21659i | 0.135231 | + | 0.0780759i | ||||
\(807\) | 39.0703 | − | 31.6581i | 1.37534 | − | 1.11442i | ||||
\(808\) | 8.55146 | + | 4.93719i | 0.300839 | + | 0.173690i | ||||
\(809\) | −39.4929 | + | 22.8012i | −1.38850 | + | 0.801648i | −0.993146 | − | 0.116882i | \(-0.962710\pi\) |
−0.395350 | + | 0.918531i | \(0.629377\pi\) | |||||||
\(810\) | −3.79512 | + | 8.55196i | −0.133347 | + | 0.300485i | ||||
\(811\) | 39.1391i | 1.37436i | 0.726488 | + | 0.687180i | \(0.241151\pi\) | ||||
−0.726488 | + | 0.687180i | \(0.758849\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 14.9087 | − | 38.8739i | 0.522872 | − | 1.36337i | ||||
\(814\) | 0.532458 | + | 0.922243i | 0.0186626 | + | 0.0323246i | ||||
\(815\) | −16.1831 | −0.566870 | ||||||||
\(816\) | 6.15531 | − | 4.98757i | 0.215479 | − | 0.174600i | ||||
\(817\) | − | 30.2322i | − | 1.05769i | ||||||
\(818\) | −3.11476 | −0.108905 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −25.3789 | −0.886269 | ||||||||
\(821\) | − | 11.8906i | − | 0.414985i | −0.978237 | − | 0.207492i | \(-0.933470\pi\) | ||
0.978237 | − | 0.207492i | \(-0.0665302\pi\) | |||||||
\(822\) | 13.8192 | + | 5.29989i | 0.482001 | + | 0.184855i | ||||
\(823\) | 3.02389 | 0.105406 | 0.0527031 | − | 0.998610i | \(-0.483216\pi\) | ||||
0.0527031 | + | 0.998610i | \(0.483216\pi\) | |||||||
\(824\) | −5.19873 | − | 9.00446i | −0.181106 | − | 0.313685i | ||||
\(825\) | −5.70283 | − | 7.03803i | −0.198547 | − | 0.245033i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 15.2436i | − | 0.530071i | −0.964239 | − | 0.265035i | \(-0.914616\pi\) | ||
0.964239 | − | 0.265035i | \(-0.0853836\pi\) | |||||||
\(828\) | 16.8987 | − | 18.7909i | 0.587272 | − | 0.653030i | ||||
\(829\) | 29.7306 | − | 17.1649i | 1.03259 | − | 0.596163i | 0.114861 | − | 0.993382i | \(-0.463358\pi\) |
0.917724 | + | 0.397218i | \(0.130024\pi\) | |||||||
\(830\) | 6.49868 | + | 3.75201i | 0.225572 | + | 0.130234i | ||||
\(831\) | −13.0425 | − | 5.00198i | −0.452438 | − | 0.173517i | ||||
\(832\) | −3.50424 | − | 2.02317i | −0.121488 | − | 0.0701409i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 13.9665 | + | 5.35635i | 0.483619 | + | 0.185475i | ||||
\(835\) | 2.78146 | 0.0962565 | ||||||||
\(836\) | −5.36105 | − | 9.28561i | −0.185416 | − | 0.321150i | ||||
\(837\) | −13.0986 | + | 6.68912i | −0.452753 | + | 0.231210i | ||||
\(838\) | −11.7088 | − | 6.76006i | −0.404473 | − | 0.233522i | ||||
\(839\) | −6.16024 | − | 10.6698i | −0.212675 | − | 0.368364i | 0.739876 | − | 0.672744i | \(-0.234884\pi\) |
−0.952551 | + | 0.304379i | \(0.901551\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 33.6008 | − | 58.1983i | 1.15865 | − | 2.00684i | ||||
\(842\) | −1.13625 | + | 0.656012i | −0.0391576 | + | 0.0226077i | ||||
\(843\) | −15.2197 | − | 18.7831i | −0.524194 | − | 0.646923i | ||||
\(844\) | −8.91770 | + | 15.4459i | −0.306960 | + | 0.531670i | ||||
\(845\) | 5.96672 | − | 10.3347i | 0.205262 | − | 0.355523i | ||||
\(846\) | 1.55976 | + | 4.79054i | 0.0536257 | + | 0.164702i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.16758 | − | 0.674104i | 0.0400949 | − | 0.0231488i | ||||
\(849\) | −26.5792 | + | 4.21801i | −0.912194 | + | 0.144762i | ||||
\(850\) | − | 8.14496i | − | 0.279370i | ||||||
\(851\) | − | 4.67406i | − | 0.160225i | ||||||
\(852\) | −4.94934 | + | 0.785442i | −0.169562 | + | 0.0269088i | ||||
\(853\) | −3.92537 | + | 2.26631i | −0.134402 | + | 0.0775971i | −0.565693 | − | 0.824616i | \(-0.691391\pi\) |
0.431291 | + | 0.902213i | \(0.358058\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −5.39408 | − | 16.5670i | −0.184474 | − | 0.566579i | ||||
\(856\) | 7.09472 | − | 12.2884i | 0.242493 | − | 0.420010i | ||||
\(857\) | 16.1307 | − | 27.9392i | 0.551014 | − | 0.954384i | −0.447188 | − | 0.894440i | \(-0.647574\pi\) |
0.998202 | − | 0.0599442i | \(-0.0190923\pi\) | |||||||
\(858\) | 3.07506 | + | 3.79503i | 0.104981 | + | 0.129560i | ||||
\(859\) | −15.2711 | + | 8.81675i | −0.521042 | + | 0.300824i | −0.737361 | − | 0.675499i | \(-0.763928\pi\) |
0.216319 | + | 0.976323i | \(0.430595\pi\) | |||||||
\(860\) | 8.09483 | − | 14.0207i | 0.276032 | − | 0.478101i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.16329 | + | 8.94307i | 0.175862 | + | 0.304602i | ||||
\(863\) | 26.4091 | + | 15.2473i | 0.898975 | + | 0.519023i | 0.876867 | − | 0.480732i | \(-0.159629\pi\) |
0.0221074 | + | 0.999756i | \(0.492962\pi\) | |||||||
\(864\) | 27.0524 | − | 13.8150i | 0.920340 | − | 0.469995i | ||||
\(865\) | −11.0200 | − | 19.0873i | −0.374693 | − | 0.648987i | ||||
\(866\) | 1.59526 | 0.0542093 | ||||||||
\(867\) | 2.83668 | + | 1.08791i | 0.0963388 | + | 0.0369474i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −19.3851 | − | 11.1920i | −0.657594 | − | 0.379662i | ||||
\(870\) | −16.4897 | − | 6.32405i | −0.559053 | − | 0.214405i | ||||
\(871\) | −0.590785 | − | 0.341090i | −0.0200180 | − | 0.0115574i | ||||
\(872\) | −26.0006 | + | 15.0115i | −0.880492 | + | 0.508352i | ||||
\(873\) | −31.1140 | + | 34.5979i | −1.05305 | + | 1.17096i | ||||
\(874\) | − | 16.3533i | − | 0.553160i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −4.53838 | − | 5.60095i | −0.153338 | − | 0.189239i | ||||
\(877\) | −4.40363 | − | 7.62730i | −0.148700 | − | 0.257556i | 0.782047 | − | 0.623219i | \(-0.214176\pi\) |
−0.930747 | + | 0.365663i | \(0.880842\pi\) | |||||||
\(878\) | 7.21385 | 0.243456 | ||||||||
\(879\) | 21.7905 | + | 8.35699i | 0.734975 | + | 0.281874i | ||||
\(880\) | − | 3.05322i | − | 0.102924i | ||||||
\(881\) | −38.6776 | −1.30308 | −0.651540 | − | 0.758614i | \(-0.725877\pi\) | ||||
−0.651540 | + | 0.758614i | \(0.725877\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 37.4489 | 1.26026 | 0.630128 | − | 0.776491i | \(-0.283002\pi\) | ||||
0.630128 | + | 0.776491i | \(0.283002\pi\) | |||||||
\(884\) | − | 12.6388i | − | 0.425089i | ||||||
\(885\) | −19.0731 | + | 15.4547i | −0.641135 | + | 0.519503i | ||||
\(886\) | 9.97781 | 0.335211 | ||||||||
\(887\) | −13.7025 | − | 23.7335i | −0.460086 | − | 0.796892i | 0.538879 | − | 0.842383i | \(-0.318848\pi\) |
−0.998965 | + | 0.0454915i | \(0.985515\pi\) | |||||||
\(888\) | 1.27809 | − | 3.33256i | 0.0428898 | − | 0.111833i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 10.9987i | 0.368679i | ||||||||
\(891\) | −16.1142 | + | 1.71349i | −0.539846 | + | 0.0574040i | ||||
\(892\) | −33.8305 | + | 19.5321i | −1.13273 | + | 0.653982i | ||||
\(893\) | −8.12487 | − | 4.69090i | −0.271888 | − | 0.156975i | ||||
\(894\) | −6.84155 | + | 5.54362i | −0.228816 | + | 0.185406i | ||||
\(895\) | 0.433397 | + | 0.250222i | 0.0144869 | + | 0.00836400i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.36019 | − | 21.1737i | −0.112194 | − | 0.706971i | ||||
\(898\) | 7.58598 | 0.253147 | ||||||||
\(899\) | −13.8811 | − | 24.0428i | −0.462962 | − | 0.801873i | ||||
\(900\) | −2.68130 | + | 12.6524i | −0.0893768 | + | 0.421745i | ||||
\(901\) | −3.89177 | − | 2.24691i | −0.129654 | − | 0.0748556i | ||||
\(902\) | 7.63729 | + | 13.2282i | 0.254294 | + | 0.440450i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −9.06971 | + | 15.7092i | −0.301654 | + | 0.522480i | ||||
\(905\) | 4.10760 | − | 2.37152i | 0.136541 | − | 0.0788321i | ||||
\(906\) | 6.94049 | − | 18.0970i | 0.230582 | − | 0.601234i | ||||
\(907\) | 11.8216 | − | 20.4757i | 0.392531 | − | 0.679883i | −0.600252 | − | 0.799811i | \(-0.704933\pi\) |
0.992783 | + | 0.119928i | \(0.0382663\pi\) | |||||||
\(908\) | −8.02097 | + | 13.8927i | −0.266185 | + | 0.461046i | ||||
\(909\) | −2.45433 | + | 11.5813i | −0.0814049 | + | 0.384128i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −3.92249 | + | 2.26465i | −0.129958 | + | 0.0750313i | −0.563570 | − | 0.826069i | \(-0.690572\pi\) |
0.433612 | + | 0.901100i | \(0.357239\pi\) | |||||||
\(912\) | −2.91495 | + | 7.60061i | −0.0965237 | + | 0.251681i | ||||
\(913\) | 12.9970i | 0.430139i | ||||||||
\(914\) | 3.67204i | 0.121460i | ||||||||
\(915\) | 3.71780 | + | 4.58824i | 0.122907 | + | 0.151683i | ||||
\(916\) | 12.4643 | − | 7.19626i | 0.411832 | − | 0.237771i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −12.2274 | − | 7.92469i | −0.403563 | − | 0.261554i | ||||
\(919\) | 16.9149 | − | 29.2975i | 0.557971 | − | 0.966434i | −0.439695 | − | 0.898147i | \(-0.644913\pi\) |
0.997666 | − | 0.0682866i | \(-0.0217532\pi\) | |||||||
\(920\) | 10.2789 | − | 17.8037i | 0.338887 | − | 0.586969i | ||||
\(921\) | −14.7593 | + | 2.34224i | −0.486335 | + | 0.0771795i | ||||
\(922\) | 5.18323 | − | 2.99254i | 0.170700 | − | 0.0985540i | ||||
\(923\) | −2.12559 | + | 3.68164i | −0.0699648 | + | 0.121183i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.19602 | + | 2.07157i | 0.0393249 | + | 0.0681127i | ||||
\(926\) | 12.4568 | + | 7.19192i | 0.409355 | + | 0.236341i | ||||
\(927\) | 8.33552 | − | 9.26886i | 0.273774 | − | 0.304429i | ||||
\(928\) | 28.6685 | + | 49.6554i | 0.941091 | + | 1.63002i | ||||
\(929\) | −32.9164 | −1.07995 | −0.539976 | − | 0.841680i | \(-0.681567\pi\) | ||||
−0.539976 | + | 0.841680i | \(0.681567\pi\) | |||||||
\(930\) | −3.95985 | + | 3.20861i | −0.129849 | + | 0.105215i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 2.86305 | + | 1.65298i | 0.0937824 | + | 0.0541453i | ||||
\(933\) | 4.40980 | + | 27.7877i | 0.144370 | + | 0.909729i | ||||
\(934\) | −12.9236 | − | 7.46146i | −0.422874 | − | 0.244146i | ||||
\(935\) | −8.81350 | + | 5.08848i | −0.288232 | + | 0.166411i | ||||
\(936\) | 3.39402 | − | 16.0155i | 0.110937 | − | 0.523482i | ||||
\(937\) | − | 38.1057i | − | 1.24486i | −0.782676 | − | 0.622430i | \(-0.786146\pi\) | ||
0.782676 | − | 0.622430i | \(-0.213854\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 11.5929 | − | 1.83975i | 0.378320 | − | 0.0600379i | ||||
\(940\) | −2.51202 | − | 4.35095i | −0.0819331 | − | 0.141912i | ||||
\(941\) | 19.8771 | 0.647975 | 0.323987 | − | 0.946061i | \(-0.394976\pi\) | ||||
0.323987 | + | 0.946061i | \(0.394976\pi\) | |||||||
\(942\) | −0.406747 | − | 2.56305i | −0.0132525 | − | 0.0835088i | ||||
\(943\) | − | 67.0423i | − | 2.18320i | ||||||
\(944\) | 11.4696 | 0.373304 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −9.74394 | −0.316803 | ||||||||
\(947\) | − | 20.7495i | − | 0.674267i | −0.941457 | − | 0.337134i | \(-0.890543\pi\) | ||
0.941457 | − | 0.337134i | \(-0.109457\pi\) | |||||||
\(948\) | 5.00908 | + | 31.5640i | 0.162687 | + | 1.02515i | ||||
\(949\) | −6.11544 | −0.198516 | ||||||||
\(950\) | 4.18457 | + | 7.24789i | 0.135765 | + | 0.235152i | ||||
\(951\) | 37.5787 | − | 5.96359i | 1.21857 | − | 0.193383i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 12.8345i | − | 0.415751i | −0.978155 | − | 0.207876i | \(-0.933345\pi\) | ||
0.978155 | − | 0.207876i | \(-0.0666549\pi\) | |||||||
\(954\) | −1.84373 | − | 1.65807i | −0.0596930 | − | 0.0536821i | ||||
\(955\) | 9.26571 | − | 5.34956i | 0.299831 | − | 0.173108i | ||||
\(956\) | −23.7027 | − | 13.6848i | −0.766602 | − | 0.442598i | ||||
\(957\) | −4.79430 | − | 30.2105i | −0.154978 | − | 0.976568i | ||||
\(958\) | 19.9408 | + | 11.5128i | 0.644258 | + | 0.371962i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 3.61433 | − | 2.92864i | 0.116652 | − | 0.0945215i | ||||
\(961\) | 22.9882 | 0.741556 | ||||||||
\(962\) | −0.644915 | − | 1.11703i | −0.0207929 | − | 0.0360143i | ||||
\(963\) | 16.6423 | + | 3.52686i | 0.536292 | + | 0.113652i | ||||
\(964\) | −8.31878 | − | 4.80285i | −0.267930 | − | 0.154689i | ||||
\(965\) | 9.42969 | + | 16.3327i | 0.303552 | + | 0.525768i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.8941 | + | 30.9936i | −0.575437 | + | 0.996685i | 0.420557 | + | 0.907266i | \(0.361835\pi\) |
−0.995994 | + | 0.0894195i | \(0.971499\pi\) | |||||||
\(968\) | 16.8117 | − | 9.70625i | 0.540349 | − | 0.311971i | ||||
\(969\) | 26.7982 | − | 4.25277i | 0.860881 | − | 0.136619i | ||||
\(970\) | −8.06205 | + | 13.9639i | −0.258857 | + | 0.448353i | ||||
\(971\) | 14.5129 | − | 25.1370i | 0.465740 | − | 0.806686i | −0.533494 | − | 0.845804i | \(-0.679121\pi\) |
0.999235 | + | 0.0391177i | \(0.0124547\pi\) | |||||||
\(972\) | 16.3852 | + | 16.3354i | 0.525554 | + | 0.523959i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −14.7247 | + | 8.50130i | −0.471809 | + | 0.272399i | ||||
\(975\) | 6.90729 | + | 8.52449i | 0.221210 | + | 0.273002i | ||||
\(976\) | − | 2.75914i | − | 0.0883180i | ||||||
\(977\) | 8.93090i | 0.285725i | 0.989743 | + | 0.142862i | \(0.0456306\pi\) | ||||
−0.989743 | + | 0.142862i | \(0.954369\pi\) | |||||||
\(978\) | 4.97966 | − | 12.9843i | 0.159232 | − | 0.415191i | ||||
\(979\) | −16.4977 | + | 9.52495i | −0.527268 | + | 0.304419i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −26.7641 | − | 24.0690i | −0.854512 | − | 0.768466i | ||||
\(982\) | −6.41288 | + | 11.1074i | −0.204643 | + | 0.354452i | ||||
\(983\) | 26.1346 | − | 45.2665i | 0.833566 | − | 1.44378i | −0.0616269 | − | 0.998099i | \(-0.519629\pi\) |
0.895193 | − | 0.445679i | \(-0.147038\pi\) | |||||||
\(984\) | 18.3322 | − | 47.8004i | 0.584409 | − | 1.52382i | ||||
\(985\) | 5.05250 | − | 2.91707i | 0.160986 | − | 0.0929454i | ||||
\(986\) | 13.7519 | − | 23.8190i | 0.437950 | − | 0.758552i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.49333 | + | 11.2468i | 0.206580 | + | 0.357807i | ||||
\(989\) | 37.0378 | + | 21.3838i | 1.17773 | + | 0.679964i | ||||
\(990\) | −5.33959 | + | 1.73853i | −0.169703 | + | 0.0552541i | ||||
\(991\) | −21.9151 | − | 37.9581i | −0.696158 | − | 1.20578i | −0.969789 | − | 0.243946i | \(-0.921558\pi\) |
0.273631 | − | 0.961835i | \(-0.411775\pi\) | |||||||
\(992\) | 16.5466 | 0.525355 | ||||||||
\(993\) | −3.96447 | − | 24.9815i | −0.125809 | − | 0.792764i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −20.5690 | − | 11.8755i | −0.652082 | − | 0.376480i | ||||
\(996\) | 14.4177 | − | 11.6825i | 0.456842 | − | 0.370173i | ||||
\(997\) | 38.9689 | + | 22.4987i | 1.23416 | + | 0.712542i | 0.967894 | − | 0.251358i | \(-0.0808772\pi\) |
0.266264 | + | 0.963900i | \(0.414211\pi\) | |||||||
\(998\) | −14.3797 | + | 8.30215i | −0.455183 | + | 0.262800i | ||||
\(999\) | 4.27355 | + | 0.220059i | 0.135209 | + | 0.00696235i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))