Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(109,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bf (of order \(6\), degree \(2\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 109.15 | ||
Character | \(\chi\) | \(=\) | 280.109 |
Dual form | 280.2.bf.a.149.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.643189 | + | 1.25949i | −0.454803 | + | 0.890592i | ||||
\(3\) | 1.37008 | − | 2.37305i | 0.791017 | − | 1.37008i | −0.134321 | − | 0.990938i | \(-0.542885\pi\) |
0.925338 | − | 0.379144i | \(-0.123781\pi\) | |||||||
\(4\) | −1.17262 | − | 1.62018i | −0.586308 | − | 0.810088i | ||||
\(5\) | 2.18145 | − | 0.491206i | 0.975573 | − | 0.219674i | ||||
\(6\) | 2.10761 | + | 3.25192i | 0.860427 | + | 1.32759i | ||||
\(7\) | −2.02537 | − | 1.70232i | −0.765517 | − | 0.643415i | ||||
\(8\) | 2.79480 | − | 0.434817i | 0.988113 | − | 0.153731i | ||||
\(9\) | −2.25425 | − | 3.90447i | −0.751416 | − | 1.30149i | ||||
\(10\) | −0.784414 | + | 3.06344i | −0.248054 | + | 0.968746i | ||||
\(11\) | 1.84762 | + | 1.06672i | 0.557077 | + | 0.321629i | 0.751971 | − | 0.659196i | \(-0.229103\pi\) |
−0.194894 | + | 0.980824i | \(0.562436\pi\) | |||||||
\(12\) | −5.45134 | + | 0.562906i | −1.57367 | + | 0.162497i | ||||
\(13\) | −6.08794 | −1.68849 | −0.844246 | − | 0.535956i | \(-0.819951\pi\) | ||||
−0.844246 | + | 0.535956i | \(0.819951\pi\) | |||||||
\(14\) | 3.44674 | − | 1.45601i | 0.921180 | − | 0.389136i | ||||
\(15\) | 1.82310 | − | 5.84968i | 0.470724 | − | 1.51038i | ||||
\(16\) | −1.24994 | + | 3.79969i | −0.312485 | + | 0.949923i | ||||
\(17\) | −0.115849 | − | 0.0668855i | −0.0280975 | − | 0.0162221i | 0.485885 | − | 0.874023i | \(-0.338497\pi\) |
−0.513983 | + | 0.857800i | \(0.671831\pi\) | |||||||
\(18\) | 6.36754 | − | 0.327885i | 1.50084 | − | 0.0772832i | ||||
\(19\) | 3.27805 | − | 1.89258i | 0.752036 | − | 0.434188i | −0.0743930 | − | 0.997229i | \(-0.523702\pi\) |
0.826429 | + | 0.563041i | \(0.190369\pi\) | |||||||
\(20\) | −3.35384 | − | 2.95833i | −0.749942 | − | 0.661503i | ||||
\(21\) | −6.81461 | + | 2.47399i | −1.48707 | + | 0.539869i | ||||
\(22\) | −2.53189 | + | 1.64095i | −0.539800 | + | 0.349851i | ||||
\(23\) | 2.43685 | − | 1.40692i | 0.508119 | − | 0.293363i | −0.223941 | − | 0.974603i | \(-0.571892\pi\) |
0.732060 | + | 0.681240i | \(0.238559\pi\) | |||||||
\(24\) | 2.79727 | − | 7.22795i | 0.570990 | − | 1.47540i | ||||
\(25\) | 4.51743 | − | 2.14308i | 0.903486 | − | 0.428617i | ||||
\(26\) | 3.91570 | − | 7.66769i | 0.767931 | − | 1.50376i | ||||
\(27\) | −4.13353 | −0.795498 | ||||||||
\(28\) | −0.383072 | + | 5.27762i | −0.0723939 | + | 0.997376i | ||||
\(29\) | 6.47037i | 1.20152i | 0.799431 | + | 0.600758i | \(0.205135\pi\) | ||||
−0.799431 | + | 0.600758i | \(0.794865\pi\) | |||||||
\(30\) | 6.19500 | + | 6.05863i | 1.13105 | + | 1.10615i | ||||
\(31\) | 1.72541 | − | 2.98850i | 0.309893 | − | 0.536750i | −0.668446 | − | 0.743761i | \(-0.733040\pi\) |
0.978339 | + | 0.207011i | \(0.0663736\pi\) | |||||||
\(32\) | −3.98172 | − | 4.01820i | −0.703874 | − | 0.710324i | ||||
\(33\) | 5.06277 | − | 2.92299i | 0.881315 | − | 0.508827i | ||||
\(34\) | 0.158754 | − | 0.102890i | 0.0272261 | − | 0.0176456i | ||||
\(35\) | −5.25443 | − | 2.71864i | −0.888160 | − | 0.459534i | ||||
\(36\) | −3.68256 | + | 8.23073i | −0.613760 | + | 1.37179i | ||||
\(37\) | 5.51098 | + | 9.54530i | 0.906000 | + | 1.56924i | 0.819570 | + | 0.572980i | \(0.194213\pi\) |
0.0864300 | + | 0.996258i | \(0.472454\pi\) | |||||||
\(38\) | 0.275280 | + | 5.34595i | 0.0446563 | + | 0.867228i | ||||
\(39\) | −8.34098 | + | 14.4470i | −1.33563 | + | 2.31337i | ||||
\(40\) | 5.88314 | − | 2.32136i | 0.930206 | − | 0.367039i | ||||
\(41\) | −3.79820 | −0.593180 | −0.296590 | − | 0.955005i | \(-0.595849\pi\) | ||||
−0.296590 | + | 0.955005i | \(0.595849\pi\) | |||||||
\(42\) | 1.26712 | − | 10.1742i | 0.195521 | − | 1.56991i | ||||
\(43\) | 9.07301 | 1.38362 | 0.691811 | − | 0.722079i | \(-0.256813\pi\) | ||||
0.691811 | + | 0.722079i | \(0.256813\pi\) | |||||||
\(44\) | −0.438269 | − | 4.24432i | −0.0660715 | − | 0.639855i | ||||
\(45\) | −6.83543 | − | 7.41010i | −1.01897 | − | 1.10463i | ||||
\(46\) | 0.204639 | + | 3.97410i | 0.0301724 | + | 0.585949i | ||||
\(47\) | 2.84799 | − | 1.64429i | 0.415422 | − | 0.239844i | −0.277695 | − | 0.960669i | \(-0.589570\pi\) |
0.693117 | + | 0.720825i | \(0.256237\pi\) | |||||||
\(48\) | 7.30434 | + | 8.17206i | 1.05429 | + | 1.17954i | ||||
\(49\) | 1.20423 | + | 6.89564i | 0.172033 | + | 0.985091i | ||||
\(50\) | −0.206376 | + | 7.06806i | −0.0291859 | + | 0.999574i | ||||
\(51\) | −0.317446 | + | 0.183277i | −0.0444513 | + | 0.0256640i | ||||
\(52\) | 7.13882 | + | 9.86354i | 0.989977 | + | 1.36783i | ||||
\(53\) | 2.20436 | − | 3.81807i | 0.302792 | − | 0.524452i | −0.673975 | − | 0.738754i | \(-0.735414\pi\) |
0.976767 | + | 0.214302i | \(0.0687478\pi\) | |||||||
\(54\) | 2.65864 | − | 5.20612i | 0.361795 | − | 0.708464i | ||||
\(55\) | 4.55446 | + | 1.41944i | 0.614123 | + | 0.191397i | ||||
\(56\) | −6.40071 | − | 3.87698i | −0.855330 | − | 0.518083i | ||||
\(57\) | − | 10.3720i | − | 1.37380i | ||||||
\(58\) | −8.14934 | − | 4.16167i | −1.07006 | − | 0.546454i | ||||
\(59\) | 0.601135 | + | 0.347066i | 0.0782611 | + | 0.0451841i | 0.538620 | − | 0.842549i | \(-0.318946\pi\) |
−0.460359 | + | 0.887733i | \(0.652279\pi\) | |||||||
\(60\) | −11.6153 | + | 3.90568i | −1.49953 | + | 0.504222i | ||||
\(61\) | −6.12389 | + | 3.53563i | −0.784084 | + | 0.452691i | −0.837876 | − | 0.545861i | \(-0.816203\pi\) |
0.0537920 | + | 0.998552i | \(0.482869\pi\) | |||||||
\(62\) | 2.65421 | + | 4.09530i | 0.337085 | + | 0.520103i | ||||
\(63\) | −2.08097 | + | 11.7454i | −0.262177 | + | 1.47979i | ||||
\(64\) | 7.62187 | − | 2.43046i | 0.952734 | − | 0.303807i | ||||
\(65\) | −13.2805 | + | 2.99044i | −1.64725 | + | 0.370918i | ||||
\(66\) | 0.425155 | + | 8.25653i | 0.0523329 | + | 1.01631i | ||||
\(67\) | −4.02458 | + | 6.97077i | −0.491680 | + | 0.851615i | −0.999954 | − | 0.00958015i | \(-0.996950\pi\) |
0.508274 | + | 0.861196i | \(0.330284\pi\) | |||||||
\(68\) | 0.0274803 | + | 0.266127i | 0.00333248 | + | 0.0322726i | ||||
\(69\) | − | 7.71037i | − | 0.928219i | ||||||
\(70\) | 6.80368 | − | 4.86928i | 0.813196 | − | 0.581990i | ||||
\(71\) | −9.63322 | −1.14325 | −0.571627 | − | 0.820514i | \(-0.693687\pi\) | ||||
−0.571627 | + | 0.820514i | \(0.693687\pi\) | |||||||
\(72\) | −7.99792 | − | 9.93205i | −0.942563 | − | 1.17050i | ||||
\(73\) | −8.96544 | − | 5.17620i | −1.04932 | − | 0.605828i | −0.126865 | − | 0.991920i | \(-0.540491\pi\) |
−0.922460 | + | 0.386092i | \(0.873825\pi\) | |||||||
\(74\) | −15.5668 | + | 0.801583i | −1.80960 | + | 0.0931821i | ||||
\(75\) | 1.10361 | − | 13.6563i | 0.127433 | − | 1.57689i | ||||
\(76\) | −6.91021 | − | 3.09174i | −0.792656 | − | 0.354647i | ||||
\(77\) | −1.92620 | − | 5.30573i | −0.219511 | − | 0.604644i | ||||
\(78\) | −12.8310 | − | 19.7975i | −1.45282 | − | 2.24163i | ||||
\(79\) | 0.0729440 | + | 0.126343i | 0.00820685 | + | 0.0142147i | 0.870100 | − | 0.492876i | \(-0.164054\pi\) |
−0.861893 | + | 0.507090i | \(0.830721\pi\) | |||||||
\(80\) | −0.860247 | + | 8.90281i | −0.0961785 | + | 0.995364i | ||||
\(81\) | 1.09947 | − | 1.90435i | 0.122164 | − | 0.211594i | ||||
\(82\) | 2.44296 | − | 4.78379i | 0.269780 | − | 0.528281i | ||||
\(83\) | 2.32247 | 0.254924 | 0.127462 | − | 0.991843i | \(-0.459317\pi\) | ||||
0.127462 | + | 0.991843i | \(0.459317\pi\) | |||||||
\(84\) | 11.9992 | + | 8.13982i | 1.30922 | + | 0.888127i | ||||
\(85\) | −0.285573 | − | 0.0890015i | −0.0309748 | − | 0.00965356i | ||||
\(86\) | −5.83566 | + | 11.4273i | −0.629275 | + | 1.23224i | ||||
\(87\) | 15.3545 | + | 8.86493i | 1.64618 | + | 0.950420i | ||||
\(88\) | 5.62755 | + | 2.17790i | 0.599899 | + | 0.232165i | ||||
\(89\) | −1.60348 | − | 2.77732i | −0.169969 | − | 0.294395i | 0.768440 | − | 0.639922i | \(-0.221033\pi\) |
−0.938409 | + | 0.345527i | \(0.887700\pi\) | |||||||
\(90\) | 13.7294 | − | 3.84304i | 1.44721 | − | 0.405092i | ||||
\(91\) | 12.3303 | + | 10.3636i | 1.29257 | + | 1.08640i | ||||
\(92\) | −5.13695 | − | 2.29836i | −0.535564 | − | 0.239620i | ||||
\(93\) | −4.72790 | − | 8.18897i | −0.490261 | − | 0.849157i | ||||
\(94\) | 0.239165 | + | 4.64459i | 0.0246680 | + | 0.479053i | ||||
\(95\) | 6.22125 | − | 5.73877i | 0.638286 | − | 0.588785i | ||||
\(96\) | −14.9907 | + | 3.94355i | −1.52998 | + | 0.402487i | ||||
\(97\) | 14.5077i | 1.47304i | 0.676417 | + | 0.736519i | \(0.263532\pi\) | ||||
−0.676417 | + | 0.736519i | \(0.736468\pi\) | |||||||
\(98\) | −9.45952 | − | 2.91848i | −0.955556 | − | 0.294811i | ||||
\(99\) | − | 9.61862i | − | 0.966707i | ||||||
\(100\) | −8.76939 | − | 4.80602i | −0.876939 | − | 0.480602i | ||||
\(101\) | 9.50967 | + | 5.49041i | 0.946247 | + | 0.546316i | 0.891913 | − | 0.452207i | \(-0.149363\pi\) |
0.0543342 | + | 0.998523i | \(0.482696\pi\) | |||||||
\(102\) | −0.0266580 | − | 0.517701i | −0.00263954 | − | 0.0512600i | ||||
\(103\) | −4.65961 | + | 2.69023i | −0.459125 | + | 0.265076i | −0.711676 | − | 0.702507i | \(-0.752064\pi\) |
0.252551 | + | 0.967584i | \(0.418730\pi\) | |||||||
\(104\) | −17.0146 | + | 2.64714i | −1.66842 | + | 0.259574i | ||||
\(105\) | −13.6505 | + | 8.74426i | −1.33215 | + | 0.853352i | ||||
\(106\) | 3.39099 | + | 5.23210i | 0.329362 | + | 0.508187i | ||||
\(107\) | 2.01974 | + | 3.49830i | 0.195256 | + | 0.338194i | 0.946984 | − | 0.321279i | \(-0.104113\pi\) |
−0.751728 | + | 0.659473i | \(0.770780\pi\) | |||||||
\(108\) | 4.84704 | + | 6.69704i | 0.466407 | + | 0.644423i | ||||
\(109\) | 5.65776 | + | 3.26651i | 0.541915 | + | 0.312875i | 0.745855 | − | 0.666109i | \(-0.232041\pi\) |
−0.203940 | + | 0.978983i | \(0.565375\pi\) | |||||||
\(110\) | −4.71714 | + | 4.82332i | −0.449761 | + | 0.459885i | ||||
\(111\) | 30.2020 | 2.86664 | ||||||||
\(112\) | 8.99987 | − | 5.56798i | 0.850408 | − | 0.526125i | ||||
\(113\) | 1.87629i | 0.176506i | 0.996098 | + | 0.0882530i | \(0.0281284\pi\) | ||||
−0.996098 | + | 0.0882530i | \(0.971872\pi\) | |||||||
\(114\) | 13.0634 | + | 6.67114i | 1.22350 | + | 0.624809i | ||||
\(115\) | 4.62478 | − | 4.26612i | 0.431263 | − | 0.397817i | ||||
\(116\) | 10.4831 | − | 7.58726i | 0.973334 | − | 0.704459i | ||||
\(117\) | 13.7237 | + | 23.7702i | 1.26876 | + | 2.19756i | ||||
\(118\) | −0.823768 | + | 0.533893i | −0.0758340 | + | 0.0491489i | ||||
\(119\) | 0.120777 | + | 0.332680i | 0.0110716 | + | 0.0304967i | ||||
\(120\) | 2.55168 | − | 17.1414i | 0.232935 | − | 1.56479i | ||||
\(121\) | −3.22421 | − | 5.58450i | −0.293110 | − | 0.507682i | ||||
\(122\) | −0.514264 | − | 9.98704i | −0.0465593 | − | 0.904184i | ||||
\(123\) | −5.20385 | + | 9.01333i | −0.469215 | + | 0.812705i | ||||
\(124\) | −6.86513 | + | 0.708894i | −0.616507 | + | 0.0636606i | ||||
\(125\) | 8.80185 | − | 6.89402i | 0.787261 | − | 0.616620i | ||||
\(126\) | −13.4548 | − | 10.1755i | −1.19865 | − | 0.906504i | ||||
\(127\) | − | 4.14125i | − | 0.367476i | −0.982975 | − | 0.183738i | \(-0.941180\pi\) | ||
0.982975 | − | 0.183738i | \(-0.0588199\pi\) | |||||||
\(128\) | −1.84117 | + | 11.1629i | −0.162738 | + | 0.986669i | ||||
\(129\) | 12.4308 | − | 21.5307i | 1.09447 | − | 1.89567i | ||||
\(130\) | 4.77547 | − | 18.6501i | 0.418836 | − | 1.63572i | ||||
\(131\) | −9.39337 | + | 5.42327i | −0.820703 | + | 0.473833i | −0.850659 | − | 0.525718i | \(-0.823797\pi\) |
0.0299559 | + | 0.999551i | \(0.490463\pi\) | |||||||
\(132\) | −10.6724 | − | 4.77503i | −0.928917 | − | 0.415613i | ||||
\(133\) | −9.86103 | − | 1.74710i | −0.855060 | − | 0.151493i | ||||
\(134\) | −6.19104 | − | 9.55243i | −0.534824 | − | 0.825204i | ||||
\(135\) | −9.01707 | + | 2.03041i | −0.776066 | + | 0.174750i | ||||
\(136\) | −0.352859 | − | 0.136559i | −0.0302574 | − | 0.0117098i | ||||
\(137\) | 14.1556 | + | 8.17276i | 1.20940 | + | 0.698246i | 0.962628 | − | 0.270828i | \(-0.0872976\pi\) |
0.246770 | + | 0.969074i | \(0.420631\pi\) | |||||||
\(138\) | 9.71111 | + | 4.95922i | 0.826665 | + | 0.422157i | ||||
\(139\) | 1.23998i | 0.105174i | 0.998616 | + | 0.0525870i | \(0.0167467\pi\) | ||||
−0.998616 | + | 0.0525870i | \(0.983253\pi\) | |||||||
\(140\) | 1.75675 | + | 11.7010i | 0.148472 | + | 0.988917i | ||||
\(141\) | − | 9.01123i | − | 0.758883i | ||||||
\(142\) | 6.19598 | − | 12.1329i | 0.519955 | − | 1.01817i | ||||
\(143\) | −11.2482 | − | 6.49414i | −0.940620 | − | 0.543067i | ||||
\(144\) | 17.6535 | − | 3.68509i | 1.47112 | − | 0.307091i | ||||
\(145\) | 3.17829 | + | 14.1148i | 0.263942 | + | 1.17217i | ||||
\(146\) | 12.2858 | − | 7.96258i | 1.01678 | − | 0.658988i | ||||
\(147\) | 18.0136 | + | 6.58988i | 1.48574 | + | 0.543524i | ||||
\(148\) | 9.00279 | − | 20.1217i | 0.740025 | − | 1.65400i | ||||
\(149\) | −6.60567 | + | 3.81378i | −0.541158 | + | 0.312437i | −0.745548 | − | 0.666452i | \(-0.767812\pi\) |
0.204390 | + | 0.978889i | \(0.434479\pi\) | |||||||
\(150\) | 16.4901 | + | 10.1736i | 1.34641 | + | 0.830667i | ||||
\(151\) | −8.80697 | + | 15.2541i | −0.716701 | + | 1.24136i | 0.245599 | + | 0.969371i | \(0.421015\pi\) |
−0.962300 | + | 0.271991i | \(0.912318\pi\) | |||||||
\(152\) | 8.33858 | − | 6.71475i | 0.676348 | − | 0.544638i | ||||
\(153\) | 0.603106i | 0.0487583i | ||||||||
\(154\) | 7.92141 | + | 0.986556i | 0.638326 | + | 0.0794990i | ||||
\(155\) | 2.29592 | − | 7.36678i | 0.184413 | − | 0.591714i | ||||
\(156\) | 33.1874 | − | 3.42694i | 2.65712 | − | 0.274375i | ||||
\(157\) | 3.92236 | − | 6.79374i | 0.313039 | − | 0.542199i | −0.665980 | − | 0.745970i | \(-0.731986\pi\) |
0.979019 | + | 0.203771i | \(0.0653197\pi\) | |||||||
\(158\) | −0.206044 | + | 0.0106099i | −0.0163920 | + | 0.000844074i | ||||
\(159\) | −6.04031 | − | 10.4621i | −0.479028 | − | 0.829701i | ||||
\(160\) | −10.6597 | − | 6.80965i | −0.842721 | − | 0.538350i | ||||
\(161\) | −7.33055 | − | 1.29877i | −0.577728 | − | 0.102357i | ||||
\(162\) | 1.69133 | + | 2.60963i | 0.132883 | + | 0.205032i | ||||
\(163\) | 0.618575 | + | 1.07140i | 0.0484506 | + | 0.0839189i | 0.889234 | − | 0.457453i | \(-0.151238\pi\) |
−0.840783 | + | 0.541372i | \(0.817905\pi\) | |||||||
\(164\) | 4.45384 | + | 6.15376i | 0.347786 | + | 0.480528i | ||||
\(165\) | 9.60837 | − | 8.86322i | 0.748011 | − | 0.690001i | ||||
\(166\) | −1.49378 | + | 2.92512i | −0.115940 | + | 0.227033i | ||||
\(167\) | − | 16.3669i | − | 1.26651i | −0.773944 | − | 0.633254i | \(-0.781719\pi\) | ||
0.773944 | − | 0.633254i | \(-0.218281\pi\) | |||||||
\(168\) | −17.9698 | + | 9.87742i | −1.38640 | + | 0.762060i | ||||
\(169\) | 24.0630 | 1.85100 | ||||||||
\(170\) | 0.295774 | − | 0.302431i | 0.0226848 | − | 0.0231954i | ||||
\(171\) | −14.7791 | − | 8.53270i | −1.13018 | − | 0.652512i | ||||
\(172\) | −10.6392 | − | 14.6999i | −0.811229 | − | 1.12086i | ||||
\(173\) | −1.99421 | − | 3.45407i | −0.151617 | − | 0.262608i | 0.780205 | − | 0.625524i | \(-0.215115\pi\) |
−0.931822 | + | 0.362916i | \(0.881781\pi\) | |||||||
\(174\) | −21.0411 | + | 13.6370i | −1.59512 | + | 1.03382i | ||||
\(175\) | −12.7977 | − | 3.34957i | −0.967413 | − | 0.253204i | ||||
\(176\) | −6.36262 | + | 5.68703i | −0.479600 | + | 0.428676i | ||||
\(177\) | 1.64721 | − | 0.951016i | 0.123812 | − | 0.0714828i | ||||
\(178\) | 4.52934 | − | 0.233230i | 0.339488 | − | 0.0174813i | ||||
\(179\) | −16.6595 | − | 9.61835i | −1.24519 | − | 0.718909i | −0.275042 | − | 0.961432i | \(-0.588692\pi\) |
−0.970146 | + | 0.242523i | \(0.922025\pi\) | |||||||
\(180\) | −3.99033 | + | 19.7638i | −0.297422 | + | 1.47311i | ||||
\(181\) | − | 5.06441i | − | 0.376435i | −0.982127 | − | 0.188217i | \(-0.939729\pi\) | ||
0.982127 | − | 0.188217i | \(-0.0602709\pi\) | |||||||
\(182\) | −20.9836 | + | 8.86413i | −1.55540 | + | 0.657053i | ||||
\(183\) | 19.3764i | 1.43234i | ||||||||
\(184\) | 6.19878 | − | 4.99165i | 0.456980 | − | 0.367989i | ||||
\(185\) | 16.7106 | + | 18.1155i | 1.22859 | + | 1.33188i | ||||
\(186\) | 13.3548 | − | 0.687683i | 0.979224 | − | 0.0504233i | ||||
\(187\) | −0.142696 | − | 0.247157i | −0.0104350 | − | 0.0180739i | ||||
\(188\) | −6.00364 | − | 2.68613i | −0.437860 | − | 0.195906i | ||||
\(189\) | 8.37191 | + | 7.03657i | 0.608967 | + | 0.511835i | ||||
\(190\) | 3.22647 | + | 11.5267i | 0.234073 | + | 0.836234i | ||||
\(191\) | −7.26612 | − | 12.5853i | −0.525758 | − | 0.910639i | −0.999550 | − | 0.0300025i | \(-0.990448\pi\) |
0.473792 | − | 0.880637i | \(-0.342885\pi\) | |||||||
\(192\) | 4.67498 | − | 21.4170i | 0.337388 | − | 1.54564i | ||||
\(193\) | −4.34743 | − | 2.50999i | −0.312935 | − | 0.180673i | 0.335304 | − | 0.942110i | \(-0.391161\pi\) |
−0.648239 | + | 0.761437i | \(0.724494\pi\) | |||||||
\(194\) | −18.2723 | − | 9.33121i | −1.31188 | − | 0.669942i | ||||
\(195\) | −11.0990 | + | 35.6125i | −0.794813 | + | 2.55027i | ||||
\(196\) | 9.76004 | − | 10.0370i | 0.697146 | − | 0.716929i | ||||
\(197\) | −21.1781 | −1.50888 | −0.754440 | − | 0.656369i | \(-0.772091\pi\) | ||||
−0.754440 | + | 0.656369i | \(0.772091\pi\) | |||||||
\(198\) | 12.1145 | + | 6.18659i | 0.860942 | + | 0.439661i | ||||
\(199\) | −1.83165 | + | 3.17251i | −0.129842 | + | 0.224893i | −0.923615 | − | 0.383321i | \(-0.874780\pi\) |
0.793773 | + | 0.608214i | \(0.208114\pi\) | |||||||
\(200\) | 11.6935 | − | 7.95376i | 0.826855 | − | 0.562415i | ||||
\(201\) | 11.0280 | + | 19.1011i | 0.777855 | + | 1.34728i | ||||
\(202\) | −13.0316 | + | 8.44594i | −0.916901 | + | 0.594254i | ||||
\(203\) | 11.0146 | − | 13.1049i | 0.773074 | − | 0.919782i | ||||
\(204\) | 0.669183 | + | 0.299404i | 0.0468522 | + | 0.0209624i | ||||
\(205\) | −8.28559 | + | 1.86570i | −0.578690 | + | 0.130306i | ||||
\(206\) | −0.391299 | − | 7.59905i | −0.0272631 | − | 0.529451i | ||||
\(207\) | −10.9865 | − | 6.34308i | −0.763618 | − | 0.440875i | ||||
\(208\) | 7.60956 | − | 23.1323i | 0.527628 | − | 1.60394i | ||||
\(209\) | 8.07543 | 0.558589 | ||||||||
\(210\) | −2.23345 | − | 22.8168i | −0.154123 | − | 1.57451i | ||||
\(211\) | 1.82414i | 0.125579i | 0.998027 | + | 0.0627895i | \(0.0199997\pi\) | ||||
−0.998027 | + | 0.0627895i | \(0.980000\pi\) | |||||||
\(212\) | −8.77081 | + | 0.905675i | −0.602382 | + | 0.0622020i | ||||
\(213\) | −13.1983 | + | 22.8601i | −0.904333 | + | 1.56635i | ||||
\(214\) | −5.70514 | + | 0.293776i | −0.389996 | + | 0.0200821i | ||||
\(215\) | 19.7923 | − | 4.45672i | 1.34982 | − | 0.303946i | ||||
\(216\) | −11.5524 | + | 1.79733i | −0.786041 | + | 0.122293i | ||||
\(217\) | −8.58196 | + | 3.11561i | −0.582581 | + | 0.211502i | ||||
\(218\) | −7.75313 | + | 5.02489i | −0.525108 | + | 0.340329i | ||||
\(219\) | −24.5668 | + | 14.1836i | −1.66007 | + | 0.958441i | ||||
\(220\) | −3.04090 | − | 9.04348i | −0.205017 | − | 0.609711i | ||||
\(221\) | 0.705283 | + | 0.407195i | 0.0474425 | + | 0.0273909i | ||||
\(222\) | −19.4256 | + | 38.0390i | −1.30376 | + | 2.55301i | ||||
\(223\) | − | 18.9721i | − | 1.27047i | −0.772319 | − | 0.635234i | \(-0.780904\pi\) | ||
0.772319 | − | 0.635234i | \(-0.219096\pi\) | |||||||
\(224\) | 1.22419 | + | 14.9165i | 0.0817944 | + | 0.996649i | ||||
\(225\) | −18.5510 | − | 12.8071i | −1.23673 | − | 0.853810i | ||||
\(226\) | −2.36316 | − | 1.20681i | −0.157195 | − | 0.0802755i | ||||
\(227\) | −3.42574 | + | 5.93355i | −0.227374 | + | 0.393823i | −0.957029 | − | 0.289992i | \(-0.906347\pi\) |
0.729655 | + | 0.683815i | \(0.239681\pi\) | |||||||
\(228\) | −16.8044 | + | 12.1623i | −1.11290 | + | 0.805471i | ||||
\(229\) | 11.1597 | − | 6.44308i | 0.737456 | − | 0.425771i | −0.0836874 | − | 0.996492i | \(-0.526670\pi\) |
0.821144 | + | 0.570721i | \(0.193336\pi\) | |||||||
\(230\) | 2.39851 | + | 8.56877i | 0.158153 | + | 0.565008i | ||||
\(231\) | −15.2298 | − | 2.69830i | −1.00205 | − | 0.177535i | ||||
\(232\) | 2.81343 | + | 18.0834i | 0.184710 | + | 1.18723i | ||||
\(233\) | 0.0279737 | − | 0.0161506i | 0.00183262 | − | 0.00105806i | −0.499083 | − | 0.866554i | \(-0.666330\pi\) |
0.500916 | + | 0.865496i | \(0.332997\pi\) | |||||||
\(234\) | −38.7652 | + | 1.99614i | −2.53416 | + | 0.130492i | ||||
\(235\) | 5.40506 | − | 4.98588i | 0.352587 | − | 0.325243i | ||||
\(236\) | −0.142594 | − | 1.38092i | −0.00928207 | − | 0.0898902i | ||||
\(237\) | 0.399757 | 0.0259670 | ||||||||
\(238\) | −0.496688 | − | 0.0618590i | −0.0321955 | − | 0.00400973i | ||||
\(239\) | 4.82580 | 0.312155 | 0.156077 | − | 0.987745i | \(-0.450115\pi\) | ||||
0.156077 | + | 0.987745i | \(0.450115\pi\) | |||||||
\(240\) | 19.9482 | + | 14.2390i | 1.28765 | + | 0.919122i | ||||
\(241\) | −10.7989 | + | 18.7042i | −0.695618 | + | 1.20485i | 0.274354 | + | 0.961629i | \(0.411536\pi\) |
−0.969972 | + | 0.243216i | \(0.921797\pi\) | |||||||
\(242\) | 9.10738 | − | 0.468968i | 0.585445 | − | 0.0301464i | ||||
\(243\) | −9.21303 | − | 15.9574i | −0.591016 | − | 1.02367i | ||||
\(244\) | 12.9093 | + | 5.77584i | 0.826434 | + | 0.369760i | ||||
\(245\) | 6.01415 | + | 14.4509i | 0.384230 | + | 0.923237i | ||||
\(246\) | −8.00512 | − | 12.3515i | −0.510388 | − | 0.787500i | ||||
\(247\) | −19.9566 | + | 11.5219i | −1.26981 | + | 0.733123i | ||||
\(248\) | 3.52273 | − | 9.10250i | 0.223694 | − | 0.578009i | ||||
\(249\) | 3.18197 | − | 5.51133i | 0.201649 | − | 0.349266i | ||||
\(250\) | 3.02168 | + | 15.5200i | 0.191108 | + | 0.981569i | ||||
\(251\) | − | 29.4788i | − | 1.86068i | −0.366693 | − | 0.930342i | \(-0.619510\pi\) | ||
0.366693 | − | 0.930342i | \(-0.380490\pi\) | |||||||
\(252\) | 21.4699 | − | 10.4014i | 1.35247 | − | 0.655224i | ||||
\(253\) | 6.00316 | 0.377415 | ||||||||
\(254\) | 5.21585 | + | 2.66360i | 0.327272 | + | 0.167129i | ||||
\(255\) | −0.602464 | + | 0.555741i | −0.0377278 | + | 0.0348019i | ||||
\(256\) | −12.8753 | − | 9.49877i | −0.804706 | − | 0.593673i | ||||
\(257\) | 3.05932 | − | 1.76630i | 0.190835 | − | 0.110179i | −0.401538 | − | 0.915842i | \(-0.631524\pi\) |
0.592373 | + | 0.805663i | \(0.298191\pi\) | |||||||
\(258\) | 19.1223 | + | 29.5047i | 1.19051 | + | 1.83688i | ||||
\(259\) | 5.08736 | − | 28.7142i | 0.316113 | − | 1.78421i | ||||
\(260\) | 20.4180 | + | 18.0102i | 1.26627 | + | 1.11694i | ||||
\(261\) | 25.2634 | − | 14.5858i | 1.56376 | − | 0.902839i | ||||
\(262\) | −0.788825 | − | 15.3190i | −0.0487337 | − | 0.946412i | ||||
\(263\) | 2.31205 | + | 1.33486i | 0.142567 | + | 0.0823112i | 0.569587 | − | 0.821931i | \(-0.307103\pi\) |
−0.427020 | + | 0.904242i | \(0.640437\pi\) | |||||||
\(264\) | 12.8785 | − | 10.3706i | 0.792616 | − | 0.638264i | ||||
\(265\) | 2.93324 | − | 9.41171i | 0.180188 | − | 0.578157i | ||||
\(266\) | 8.54296 | − | 11.2961i | 0.523802 | − | 0.692610i | ||||
\(267\) | −8.78762 | −0.537794 | ||||||||
\(268\) | 16.0132 | − | 1.65352i | 0.978160 | − | 0.101005i | ||||
\(269\) | 19.5980 | + | 11.3149i | 1.19491 | + | 0.689883i | 0.959416 | − | 0.281993i | \(-0.0909955\pi\) |
0.235495 | + | 0.971876i | \(0.424329\pi\) | |||||||
\(270\) | 3.24240 | − | 12.6628i | 0.197326 | − | 0.770635i | ||||
\(271\) | −4.23600 | − | 7.33697i | −0.257319 | − | 0.445689i | 0.708204 | − | 0.706008i | \(-0.249506\pi\) |
−0.965523 | + | 0.260319i | \(0.916172\pi\) | |||||||
\(272\) | 0.398949 | − | 0.356588i | 0.0241898 | − | 0.0216213i | ||||
\(273\) | 41.4869 | − | 15.0615i | 2.51090 | − | 0.911564i | ||||
\(274\) | −19.3982 | + | 12.5722i | −1.17189 | + | 0.759515i | ||||
\(275\) | 10.6325 | + | 0.859248i | 0.641167 | + | 0.0518146i | ||||
\(276\) | −12.4922 | + | 9.04131i | −0.751939 | + | 0.544223i | ||||
\(277\) | 1.62592 | − | 2.81617i | 0.0976918 | − | 0.169207i | −0.813037 | − | 0.582212i | \(-0.802187\pi\) |
0.910729 | + | 0.413005i | \(0.135521\pi\) | |||||||
\(278\) | −1.56174 | − | 0.797543i | −0.0936671 | − | 0.0478334i | ||||
\(279\) | −15.5580 | −0.931433 | ||||||||
\(280\) | −15.8672 | − | 5.31336i | −0.948247 | − | 0.317534i | ||||
\(281\) | −16.4018 | −0.978451 | −0.489225 | − | 0.872157i | \(-0.662720\pi\) | ||||
−0.489225 | + | 0.872157i | \(0.662720\pi\) | |||||||
\(282\) | 11.3495 | + | 5.79592i | 0.675855 | + | 0.345142i | ||||
\(283\) | −8.26884 | + | 14.3221i | −0.491532 | + | 0.851358i | −0.999952 | − | 0.00975110i | \(-0.996896\pi\) |
0.508421 | + | 0.861109i | \(0.330229\pi\) | |||||||
\(284\) | 11.2961 | + | 15.6075i | 0.670299 | + | 0.926136i | ||||
\(285\) | −5.09478 | − | 22.6259i | −0.301789 | − | 1.34024i | ||||
\(286\) | 15.4140 | − | 9.98998i | 0.911448 | − | 0.590720i | ||||
\(287\) | 7.69276 | + | 6.46575i | 0.454089 | + | 0.381661i | ||||
\(288\) | −6.71318 | + | 24.6045i | −0.395578 | + | 1.44984i | ||||
\(289\) | −8.49105 | − | 14.7069i | −0.499474 | − | 0.865114i | ||||
\(290\) | −19.8216 | − | 5.07545i | −1.16396 | − | 0.298041i | ||||
\(291\) | 34.4276 | + | 19.8768i | 2.01818 | + | 1.16520i | ||||
\(292\) | 2.12667 | + | 20.5953i | 0.124454 | + | 1.20525i | ||||
\(293\) | 24.7886 | 1.44817 | 0.724084 | − | 0.689712i | \(-0.242263\pi\) | ||||
0.724084 | + | 0.689712i | \(0.242263\pi\) | |||||||
\(294\) | −19.8860 | + | 18.4494i | −1.15978 | + | 1.07599i | ||||
\(295\) | 1.48183 | + | 0.461824i | 0.0862752 | + | 0.0268884i | ||||
\(296\) | 19.5526 | + | 24.2810i | 1.13647 | + | 1.41130i | ||||
\(297\) | −7.63717 | − | 4.40932i | −0.443153 | − | 0.255855i | ||||
\(298\) | −0.554722 | − | 10.7727i | −0.0321342 | − | 0.624048i | ||||
\(299\) | −14.8354 | + | 8.56523i | −0.857955 | + | 0.495340i | ||||
\(300\) | −23.4197 | + | 14.2256i | −1.35214 | + | 0.821313i | ||||
\(301\) | −18.3762 | − | 15.4451i | −1.05919 | − | 0.890243i | ||||
\(302\) | −13.5478 | − | 20.9035i | −0.779589 | − | 1.20286i | ||||
\(303\) | 26.0580 | − | 15.0446i | 1.49700 | − | 0.864291i | ||||
\(304\) | 3.09386 | + | 14.8212i | 0.177445 | + | 0.850054i | ||||
\(305\) | −11.6222 | + | 10.7209i | −0.665486 | + | 0.613876i | ||||
\(306\) | −0.759605 | − | 0.387911i | −0.0434237 | − | 0.0221754i | ||||
\(307\) | 12.1238 | 0.691940 | 0.345970 | − | 0.938246i | \(-0.387550\pi\) | ||||
0.345970 | + | 0.938246i | \(0.387550\pi\) | |||||||
\(308\) | −6.33752 | + | 9.34238i | −0.361114 | + | 0.532331i | ||||
\(309\) | 14.7433i | 0.838719i | ||||||||
\(310\) | 7.80166 | + | 7.62992i | 0.443104 | + | 0.433350i | ||||
\(311\) | 13.8034 | − | 23.9081i | 0.782717 | − | 1.35571i | −0.147637 | − | 0.989042i | \(-0.547167\pi\) |
0.930353 | − | 0.366664i | \(-0.119500\pi\) | |||||||
\(312\) | −17.0296 | + | 44.0033i | −0.964111 | + | 2.49120i | ||||
\(313\) | −28.4805 | + | 16.4432i | −1.60981 | + | 0.929427i | −0.620404 | + | 0.784282i | \(0.713032\pi\) |
−0.989410 | + | 0.145145i | \(0.953635\pi\) | |||||||
\(314\) | 6.03380 | + | 9.30982i | 0.340507 | + | 0.525384i | ||||
\(315\) | 1.22991 | + | 26.6443i | 0.0692978 | + | 1.50123i | ||||
\(316\) | 0.119162 | − | 0.266334i | 0.00670339 | − | 0.0149824i | ||||
\(317\) | −8.08482 | − | 14.0033i | −0.454089 | − | 0.786505i | 0.544547 | − | 0.838731i | \(-0.316702\pi\) |
−0.998635 | + | 0.0522259i | \(0.983368\pi\) | |||||||
\(318\) | 17.0620 | − | 0.878575i | 0.956788 | − | 0.0492681i | ||||
\(319\) | −6.90208 | + | 11.9547i | −0.386442 | + | 0.669337i | ||||
\(320\) | 15.4329 | − | 9.04583i | 0.862723 | − | 0.505677i | ||||
\(321\) | 11.0689 | 0.617804 | ||||||||
\(322\) | 6.35071 | − | 8.39738i | 0.353911 | − | 0.467967i | ||||
\(323\) | −0.506346 | −0.0281738 | ||||||||
\(324\) | −4.37464 | + | 0.451726i | −0.243035 | + | 0.0250959i | ||||
\(325\) | −27.5019 | + | 13.0470i | −1.52553 | + | 0.723715i | ||||
\(326\) | −1.74728 | + | 0.0899730i | −0.0967729 | + | 0.00498314i | ||||
\(327\) | 15.5032 | − | 8.95077i | 0.857328 | − | 0.494979i | ||||
\(328\) | −10.6152 | + | 1.65152i | −0.586129 | + | 0.0911902i | ||||
\(329\) | −8.56733 | − | 1.51789i | −0.472332 | − | 0.0836842i | ||||
\(330\) | 4.98311 | + | 17.8023i | 0.274311 | + | 0.979987i | ||||
\(331\) | −23.2696 | + | 13.4347i | −1.27901 | + | 0.738438i | −0.976667 | − | 0.214761i | \(-0.931103\pi\) |
−0.302345 | + | 0.953198i | \(0.597770\pi\) | |||||||
\(332\) | −2.72336 | − | 3.76280i | −0.149464 | − | 0.206511i | ||||
\(333\) | 24.8462 | − | 43.0349i | 1.36157 | − | 2.35830i | ||||
\(334\) | 20.6139 | + | 10.5270i | 1.12794 | + | 0.576012i | ||||
\(335\) | −5.35532 | + | 17.1833i | −0.292592 | + | 0.938823i | ||||
\(336\) | −0.882545 | − | 28.9857i | −0.0481468 | − | 1.58130i | ||||
\(337\) | − | 13.5015i | − | 0.735475i | −0.929930 | − | 0.367738i | \(-0.880132\pi\) | ||
0.929930 | − | 0.367738i | \(-0.119868\pi\) | |||||||
\(338\) | −15.4771 | + | 30.3071i | −0.841842 | + | 1.64849i | ||||
\(339\) | 4.45252 | + | 2.57066i | 0.241828 | + | 0.139619i | ||||
\(340\) | 0.190670 | + | 0.567044i | 0.0103405 | + | 0.0307523i | ||||
\(341\) | 6.37579 | − | 3.68106i | 0.345268 | − | 0.199341i | ||||
\(342\) | 20.2526 | − | 13.1259i | 1.09513 | − | 0.709768i | ||||
\(343\) | 9.29955 | − | 16.0162i | 0.502128 | − | 0.864793i | ||||
\(344\) | 25.3573 | − | 3.94510i | 1.36717 | − | 0.212706i | ||||
\(345\) | −3.78738 | − | 16.8198i | −0.203906 | − | 0.905546i | ||||
\(346\) | 5.63300 | − | 0.290061i | 0.302832 | − | 0.0155938i | ||||
\(347\) | −11.4913 | + | 19.9036i | −0.616887 | + | 1.06848i | 0.373163 | + | 0.927766i | \(0.378273\pi\) |
−0.990050 | + | 0.140714i | \(0.955060\pi\) | |||||||
\(348\) | −3.64221 | − | 35.2722i | −0.195243 | − | 1.89079i | ||||
\(349\) | − | 9.42601i | − | 0.504563i | −0.967654 | − | 0.252281i | \(-0.918819\pi\) | ||
0.967654 | − | 0.252281i | \(-0.0811808\pi\) | |||||||
\(350\) | 12.4501 | − | 13.9641i | 0.665484 | − | 0.746412i | ||||
\(351\) | 25.1647 | 1.34319 | ||||||||
\(352\) | −3.07038 | − | 11.6715i | −0.163652 | − | 0.622091i | ||||
\(353\) | −16.4675 | − | 9.50750i | −0.876475 | − | 0.506033i | −0.00698041 | − | 0.999976i | \(-0.502222\pi\) |
−0.869495 | + | 0.493943i | \(0.835555\pi\) | |||||||
\(354\) | 0.138327 | + | 2.68632i | 0.00735201 | + | 0.142776i | ||||
\(355\) | −21.0144 | + | 4.73190i | −1.11533 | + | 0.251143i | ||||
\(356\) | −2.61947 | + | 5.85465i | −0.138832 | + | 0.310296i | ||||
\(357\) | 0.954940 | + | 0.169189i | 0.0505408 | + | 0.00895443i | ||||
\(358\) | 22.8294 | − | 14.7960i | 1.20657 | − | 0.781992i | ||||
\(359\) | 0.0924791 | + | 0.160179i | 0.00488086 | + | 0.00845390i | 0.868456 | − | 0.495767i | \(-0.165113\pi\) |
−0.863575 | + | 0.504221i | \(0.831780\pi\) | |||||||
\(360\) | −22.3257 | − | 17.7376i | −1.17667 | − | 0.934855i | ||||
\(361\) | −2.33626 | + | 4.04652i | −0.122961 | + | 0.212975i | ||||
\(362\) | 6.37856 | + | 3.25737i | 0.335250 | + | 0.171204i | ||||
\(363\) | −17.6697 | −0.927421 | ||||||||
\(364\) | 2.33212 | − | 32.1298i | 0.122236 | − | 1.68406i | ||||
\(365\) | −22.1002 | − | 6.88772i | −1.15678 | − | 0.360520i | ||||
\(366\) | −24.4043 | − | 12.4627i | −1.27563 | − | 0.651435i | ||||
\(367\) | 4.03222 | + | 2.32800i | 0.210480 | + | 0.121521i | 0.601534 | − | 0.798847i | \(-0.294556\pi\) |
−0.391054 | + | 0.920368i | \(0.627890\pi\) | |||||||
\(368\) | 2.29993 | + | 11.0179i | 0.119892 | + | 0.574345i | ||||
\(369\) | 8.56209 | + | 14.8300i | 0.445725 | + | 0.772018i | ||||
\(370\) | −33.5644 | + | 9.39512i | −1.74493 | + | 0.488429i | ||||
\(371\) | −10.9642 | + | 3.98047i | −0.569233 | + | 0.206656i | ||||
\(372\) | −7.72355 | + | 17.2626i | −0.400447 | + | 0.895022i | ||||
\(373\) | 6.50449 | + | 11.2661i | 0.336790 | + | 0.583337i | 0.983827 | − | 0.179121i | \(-0.0573255\pi\) |
−0.647037 | + | 0.762458i | \(0.723992\pi\) | |||||||
\(374\) | 0.403072 | − | 0.0207555i | 0.0208424 | − | 0.00107324i | ||||
\(375\) | −4.30060 | − | 30.3326i | −0.222082 | − | 1.56637i | ||||
\(376\) | 7.24461 | − | 5.83382i | 0.373612 | − | 0.300856i | ||||
\(377\) | − | 39.3912i | − | 2.02875i | ||||||
\(378\) | −14.2472 | + | 6.01848i | −0.732797 | + | 0.309557i | ||||
\(379\) | 27.2688i | 1.40070i | 0.713797 | + | 0.700352i | \(0.246974\pi\) | ||||
−0.713797 | + | 0.700352i | \(0.753026\pi\) | |||||||
\(380\) | −16.5930 | − | 3.35014i | −0.851201 | − | 0.171858i | ||||
\(381\) | −9.82739 | − | 5.67385i | −0.503473 | − | 0.290680i | ||||
\(382\) | 20.5245 | − | 1.05687i | 1.05012 | − | 0.0540742i | ||||
\(383\) | −6.35810 | + | 3.67085i | −0.324884 | + | 0.187572i | −0.653567 | − | 0.756868i | \(-0.726728\pi\) |
0.328683 | + | 0.944440i | \(0.393395\pi\) | |||||||
\(384\) | 23.9676 | + | 19.6633i | 1.22309 | + | 1.00344i | ||||
\(385\) | −6.80812 | − | 10.6280i | −0.346974 | − | 0.541654i | ||||
\(386\) | 5.95752 | − | 3.86114i | 0.303230 | − | 0.196527i | ||||
\(387\) | −20.4528 | − | 35.4253i | −1.03968 | − | 1.80077i | ||||
\(388\) | 23.5051 | − | 17.0120i | 1.19329 | − | 0.863654i | ||||
\(389\) | −0.175410 | − | 0.101273i | −0.00889366 | − | 0.00513475i | 0.495547 | − | 0.868581i | \(-0.334968\pi\) |
−0.504440 | + | 0.863447i | \(0.668301\pi\) | |||||||
\(390\) | −37.7148 | − | 36.8846i | −1.90976 | − | 1.86772i | ||||
\(391\) | −0.376410 | −0.0190359 | ||||||||
\(392\) | 6.36394 | + | 18.7483i | 0.321427 | + | 0.946934i | ||||
\(393\) | 29.7213i | 1.49924i | ||||||||
\(394\) | 13.6215 | − | 26.6736i | 0.686243 | − | 1.34380i | ||||
\(395\) | 0.221184 | + | 0.239780i | 0.0111290 | + | 0.0120646i | ||||
\(396\) | −15.5839 | + | 11.2790i | −0.783118 | + | 0.566789i | ||||
\(397\) | −0.182428 | − | 0.315975i | −0.00915580 | − | 0.0158583i | 0.861411 | − | 0.507908i | \(-0.169581\pi\) |
−0.870567 | + | 0.492050i | \(0.836248\pi\) | |||||||
\(398\) | −2.81764 | − | 4.34746i | −0.141235 | − | 0.217918i | ||||
\(399\) | −17.6564 | + | 21.0071i | −0.883925 | + | 1.05167i | ||||
\(400\) | 2.49653 | + | 19.8436i | 0.124827 | + | 0.992179i | ||||
\(401\) | 18.1863 | + | 31.4996i | 0.908181 | + | 1.57302i | 0.816589 | + | 0.577219i | \(0.195862\pi\) |
0.0915915 | + | 0.995797i | \(0.470805\pi\) | |||||||
\(402\) | −31.1506 | + | 1.60404i | −1.55365 | + | 0.0800024i | ||||
\(403\) | −10.5042 | + | 18.1938i | −0.523251 | + | 0.906297i | ||||
\(404\) | −2.25577 | − | 21.8455i | −0.112229 | − | 1.08685i | ||||
\(405\) | 1.46302 | − | 4.69430i | 0.0726981 | − | 0.233262i | ||||
\(406\) | 9.42095 | + | 22.3017i | 0.467554 | + | 1.10681i | ||||
\(407\) | 23.5147i | 1.16558i | ||||||||
\(408\) | −0.807506 | + | 0.650255i | −0.0399775 | + | 0.0321924i | ||||
\(409\) | 5.40114 | − | 9.35504i | 0.267069 | − | 0.462577i | −0.701035 | − | 0.713127i | \(-0.747278\pi\) |
0.968104 | + | 0.250550i | \(0.0806115\pi\) | |||||||
\(410\) | 2.97937 | − | 11.6356i | 0.147140 | − | 0.574641i | ||||
\(411\) | 38.7887 | − | 22.3947i | 1.91331 | − | 1.10465i | ||||
\(412\) | 9.82258 | + | 4.39478i | 0.483924 | + | 0.216516i | ||||
\(413\) | −0.626704 | − | 1.72626i | −0.0308381 | − | 0.0849436i | ||||
\(414\) | 15.0555 | − | 9.75761i | 0.739935 | − | 0.479561i | ||||
\(415\) | 5.06634 | − | 1.14081i | 0.248697 | − | 0.0560002i | ||||
\(416\) | 24.2405 | + | 24.4626i | 1.18849 | + | 1.19938i | ||||
\(417\) | 2.94254 | + | 1.69888i | 0.144097 | + | 0.0831944i | ||||
\(418\) | −5.19403 | + | 10.1709i | −0.254048 | + | 0.497475i | ||||
\(419\) | − | 18.6727i | − | 0.912219i | −0.889924 | − | 0.456110i | \(-0.849243\pi\) | ||
0.889924 | − | 0.456110i | \(-0.150757\pi\) | |||||||
\(420\) | 30.1740 | + | 11.8625i | 1.47234 | + | 0.578831i | ||||
\(421\) | 16.6714i | 0.812516i | 0.913758 | + | 0.406258i | \(0.133167\pi\) | ||||
−0.913758 | + | 0.406258i | \(0.866833\pi\) | |||||||
\(422\) | −2.29748 | − | 1.17327i | −0.111840 | − | 0.0571137i | ||||
\(423\) | −12.8402 | − | 7.41326i | −0.624310 | − | 0.360445i | ||||
\(424\) | 4.50060 | − | 11.6292i | 0.218569 | − | 0.564766i | ||||
\(425\) | −0.666682 | − | 0.0538766i | −0.0323388 | − | 0.00261340i | ||||
\(426\) | −20.3031 | − | 31.3265i | −0.983686 | − | 1.51777i | ||||
\(427\) | 18.4219 | + | 3.26385i | 0.891498 | + | 0.157949i | ||||
\(428\) | 3.29948 | − | 7.37451i | 0.159486 | − | 0.356460i | ||||
\(429\) | −30.8218 | + | 17.7950i | −1.48809 | + | 0.859151i | ||||
\(430\) | −7.11700 | + | 27.7947i | −0.343212 | + | 1.34038i | ||||
\(431\) | 2.95698 | − | 5.12165i | 0.142433 | − | 0.246701i | −0.785979 | − | 0.618253i | \(-0.787841\pi\) |
0.928412 | + | 0.371552i | \(0.121174\pi\) | |||||||
\(432\) | 5.16666 | − | 15.7061i | 0.248581 | − | 0.755661i | ||||
\(433\) | 25.3998i | 1.22064i | 0.792157 | + | 0.610318i | \(0.208958\pi\) | ||||
−0.792157 | + | 0.610318i | \(0.791042\pi\) | |||||||
\(434\) | 1.59574 | − | 12.8128i | 0.0765981 | − | 0.615034i | ||||
\(435\) | 37.8496 | + | 11.7962i | 1.81475 | + | 0.565582i | ||||
\(436\) | −1.34206 | − | 12.9969i | −0.0642732 | − | 0.622440i | ||||
\(437\) | 5.32542 | − | 9.22389i | 0.254749 | − | 0.441239i | ||||
\(438\) | −2.06304 | − | 40.0643i | −0.0985757 | − | 1.91434i | ||||
\(439\) | 12.5963 | + | 21.8175i | 0.601190 | + | 1.04129i | 0.992641 | + | 0.121093i | \(0.0386398\pi\) |
−0.391451 | + | 0.920199i | \(0.628027\pi\) | |||||||
\(440\) | 13.3460 | + | 1.98669i | 0.636246 | + | 0.0947118i | ||||
\(441\) | 24.2092 | − | 20.2464i | 1.15282 | − | 0.964113i | ||||
\(442\) | −0.966487 | + | 0.626391i | −0.0459711 | + | 0.0297944i | ||||
\(443\) | −11.7718 | − | 20.3894i | −0.559295 | − | 0.968728i | −0.997555 | − | 0.0698797i | \(-0.977738\pi\) |
0.438260 | − | 0.898848i | \(-0.355595\pi\) | |||||||
\(444\) | −35.4153 | − | 48.9325i | −1.68074 | − | 2.32223i | ||||
\(445\) | −4.86215 | − | 5.27093i | −0.230488 | − | 0.249866i | ||||
\(446\) | 23.8952 | + | 12.2027i | 1.13147 | + | 0.577813i | ||||
\(447\) | 20.9008i | 0.988573i | ||||||||
\(448\) | −19.5745 | − | 8.05226i | −0.924808 | − | 0.380434i | ||||
\(449\) | −5.21146 | −0.245944 | −0.122972 | − | 0.992410i | \(-0.539243\pi\) | ||||
−0.122972 | + | 0.992410i | \(0.539243\pi\) | |||||||
\(450\) | 28.0622 | − | 15.1274i | 1.32287 | − | 0.713111i | ||||
\(451\) | −7.01762 | − | 4.05162i | −0.330447 | − | 0.190784i | ||||
\(452\) | 3.03991 | − | 2.20016i | 0.142985 | − | 0.103487i | ||||
\(453\) | 24.1325 | + | 41.7988i | 1.13384 | + | 1.96388i | ||||
\(454\) | −5.26983 | − | 8.13106i | −0.247326 | − | 0.381610i | ||||
\(455\) | 31.9886 | + | 16.5509i | 1.49965 | + | 0.775920i | ||||
\(456\) | −4.50991 | − | 28.9876i | −0.211196 | − | 1.35747i | ||||
\(457\) | 6.73451 | − | 3.88817i | 0.315027 | − | 0.181881i | −0.334147 | − | 0.942521i | \(-0.608448\pi\) |
0.649174 | + | 0.760640i | \(0.275115\pi\) | |||||||
\(458\) | 0.937158 | + | 18.1997i | 0.0437905 | + | 0.850414i | ||||
\(459\) | 0.478865 | + | 0.276473i | 0.0223515 | + | 0.0129047i | ||||
\(460\) | −12.3350 | − | 2.49044i | −0.575120 | − | 0.116117i | ||||
\(461\) | 31.3778i | 1.46141i | 0.682693 | + | 0.730706i | \(0.260809\pi\) | ||||
−0.682693 | + | 0.730706i | \(0.739191\pi\) | |||||||
\(462\) | 13.1941 | − | 17.4463i | 0.613847 | − | 0.811673i | ||||
\(463\) | 34.1001i | 1.58477i | 0.610023 | + | 0.792384i | \(0.291160\pi\) | ||||
−0.610023 | + | 0.792384i | \(0.708840\pi\) | |||||||
\(464\) | −24.5854 | − | 8.08757i | −1.14135 | − | 0.375456i | ||||
\(465\) | −14.3362 | − | 15.5414i | −0.664823 | − | 0.720717i | ||||
\(466\) | 0.00234914 | + | 0.0456204i | 0.000108822 | + | 0.00211332i | ||||
\(467\) | 10.8078 | + | 18.7196i | 0.500124 | + | 0.866239i | 1.00000 | 0.000142626i | \(4.53993e-5\pi\) | |
−0.499876 | + | 0.866097i | \(0.666621\pi\) | |||||||
\(468\) | 22.4192 | − | 50.1082i | 1.03633 | − | 2.31625i | ||||
\(469\) | 20.0177 | − | 7.26727i | 0.924332 | − | 0.335572i | ||||
\(470\) | 2.80318 | + | 10.0145i | 0.129301 | + | 0.461933i | ||||
\(471\) | −10.7479 | − | 18.6159i | −0.495238 | − | 0.857778i | ||||
\(472\) | 1.83097 | + | 0.708597i | 0.0842770 | + | 0.0326158i | ||||
\(473\) | 16.7634 | + | 9.67837i | 0.770784 | + | 0.445012i | ||||
\(474\) | −0.257119 | + | 0.503489i | −0.0118099 | + | 0.0231260i | ||||
\(475\) | 10.7524 | − | 15.5747i | 0.493354 | − | 0.714618i | ||||
\(476\) | 0.397375 | − | 0.585785i | 0.0182136 | − | 0.0268494i | ||||
\(477\) | −19.8767 | −0.910092 | ||||||||
\(478\) | −3.10390 | + | 6.07803i | −0.141969 | + | 0.278003i | ||||
\(479\) | −1.43986 | + | 2.49392i | −0.0657891 | + | 0.113950i | −0.897044 | − | 0.441942i | \(-0.854290\pi\) |
0.831255 | + | 0.555892i | \(0.187623\pi\) | |||||||
\(480\) | −30.7643 | + | 15.9662i | −1.40419 | + | 0.728752i | ||||
\(481\) | −33.5505 | − | 58.1112i | −1.52977 | − | 2.64964i | ||||
\(482\) | −16.6120 | − | 25.6314i | −0.756656 | − | 1.16748i | ||||
\(483\) | −13.1255 | + | 15.6163i | −0.597231 | + | 0.710568i | ||||
\(484\) | −5.26711 | + | 11.7723i | −0.239414 | + | 0.535103i | ||||
\(485\) | 7.12630 | + | 31.6479i | 0.323588 | + | 1.43706i | ||||
\(486\) | 26.0239 | − | 1.34005i | 1.18047 | − | 0.0607860i | ||||
\(487\) | −10.3485 | − | 5.97470i | −0.468935 | − | 0.270740i | 0.246859 | − | 0.969051i | \(-0.420602\pi\) |
−0.715794 | + | 0.698312i | \(0.753935\pi\) | |||||||
\(488\) | −15.5777 | + | 12.5442i | −0.705170 | + | 0.567848i | ||||
\(489\) | 3.39000 | 0.153301 | ||||||||
\(490\) | −22.0690 | − | 1.71994i | −0.996977 | − | 0.0776988i | ||||
\(491\) | − | 16.6670i | − | 0.752173i | −0.926584 | − | 0.376087i | \(-0.877269\pi\) | ||
0.926584 | − | 0.376087i | \(-0.122731\pi\) | |||||||
\(492\) | 20.7053 | − | 2.13803i | 0.933467 | − | 0.0963899i | ||||
\(493\) | 0.432774 | − | 0.749586i | 0.0194912 | − | 0.0337597i | ||||
\(494\) | −1.67589 | − | 32.5458i | −0.0754017 | − | 1.46431i | ||||
\(495\) | −4.72473 | − | 20.9825i | −0.212361 | − | 0.943094i | ||||
\(496\) | 9.19870 | + | 10.2915i | 0.413034 | + | 0.462100i | ||||
\(497\) | 19.5108 | + | 16.3988i | 0.875180 | + | 0.735587i | ||||
\(498\) | 4.89484 | + | 7.55247i | 0.219343 | + | 0.338434i | ||||
\(499\) | 37.1045 | − | 21.4223i | 1.66103 | − | 0.958994i | 0.688799 | − | 0.724952i | \(-0.258138\pi\) |
0.972227 | − | 0.234042i | \(-0.0751952\pi\) | |||||||
\(500\) | −21.4907 | − | 6.17650i | −0.961094 | − | 0.276222i | ||||
\(501\) | −38.8395 | − | 22.4240i | −1.73522 | − | 1.00183i | ||||
\(502\) | 37.1281 | + | 18.9604i | 1.65711 | + | 0.846245i | ||||
\(503\) | − | 32.6248i | − | 1.45467i | −0.686283 | − | 0.727334i | \(-0.740759\pi\) | ||
0.686283 | − | 0.727334i | \(-0.259241\pi\) | |||||||
\(504\) | −0.708778 | + | 33.7311i | −0.0315715 | + | 1.50250i | ||||
\(505\) | 23.4418 | + | 7.30583i | 1.04315 | + | 0.325105i | ||||
\(506\) | −3.86116 | + | 7.56090i | −0.171650 | + | 0.336123i | ||||
\(507\) | 32.9683 | − | 57.1028i | 1.46417 | − | 2.53603i | ||||
\(508\) | −6.70955 | + | 4.85610i | −0.297688 | + | 0.215454i | ||||
\(509\) | −8.82639 | + | 5.09592i | −0.391223 | + | 0.225873i | −0.682690 | − | 0.730708i | \(-0.739190\pi\) |
0.291467 | + | 0.956581i | \(0.405857\pi\) | |||||||
\(510\) | −0.312451 | − | 1.11624i | −0.0138356 | − | 0.0494280i | ||||
\(511\) | 9.34678 | + | 25.7457i | 0.413477 | + | 1.13892i | ||||
\(512\) | 20.2448 | − | 10.1068i | 0.894703 | − | 0.446661i | ||||
\(513\) | −13.5499 | + | 7.82304i | −0.598243 | + | 0.345396i | ||||
\(514\) | 0.256912 | + | 4.98924i | 0.0113319 | + | 0.220066i | ||||
\(515\) | −8.84325 | + | 8.15743i | −0.389680 | + | 0.359459i | ||||
\(516\) | −49.4601 | + | 5.10725i | −2.17736 | + | 0.224834i | ||||
\(517\) | 7.01599 | 0.308563 | ||||||||
\(518\) | 32.8930 | + | 24.8761i | 1.44524 | + | 1.09299i | ||||
\(519\) | −10.9289 | −0.479726 | ||||||||
\(520\) | −35.8162 | + | 14.1323i | −1.57064 | + | 0.619742i | ||||
\(521\) | 0.101242 | − | 0.175356i | 0.00443548 | − | 0.00768248i | −0.863799 | − | 0.503836i | \(-0.831921\pi\) |
0.868235 | + | 0.496154i | \(0.165255\pi\) | |||||||
\(522\) | 2.12153 | + | 41.2003i | 0.0928570 | + | 1.80329i | ||||
\(523\) | −10.0334 | − | 17.3783i | −0.438729 | − | 0.759902i | 0.558862 | − | 0.829260i | \(-0.311238\pi\) |
−0.997592 | + | 0.0693587i | \(0.977905\pi\) | |||||||
\(524\) | 19.8015 | + | 8.85950i | 0.865031 | + | 0.387029i | ||||
\(525\) | −25.4826 | + | 25.7803i | −1.11215 | + | 1.12515i | ||||
\(526\) | −3.16833 | + | 2.05343i | −0.138146 | + | 0.0895338i | ||||
\(527\) | −0.399774 | + | 0.230810i | −0.0174144 | + | 0.0100542i | ||||
\(528\) | 4.77830 | + | 22.8905i | 0.207949 | + | 0.996182i | ||||
\(529\) | −7.54116 | + | 13.0617i | −0.327877 | + | 0.567899i | ||||
\(530\) | 9.96731 | + | 9.74789i | 0.432952 | + | 0.423421i | ||||
\(531\) | − | 3.12949i | − | 0.135808i | ||||||
\(532\) | 8.73260 | + | 18.0253i | 0.378606 | + | 0.781495i | ||||
\(533\) | 23.1232 | 1.00158 | ||||||||
\(534\) | 5.65210 | − | 11.0679i | 0.244590 | − | 0.478955i | ||||
\(535\) | 6.12436 | + | 6.63925i | 0.264779 | + | 0.287040i | ||||
\(536\) | −8.21690 | + | 21.2319i | −0.354916 | + | 0.917079i | ||||
\(537\) | −45.6497 | + | 26.3559i | −1.96993 | + | 1.13734i | ||||
\(538\) | −26.8562 | + | 17.4058i | −1.15785 | + | 0.750418i | ||||
\(539\) | −5.13076 | + | 14.0251i | −0.220998 | + | 0.604102i | ||||
\(540\) | 13.8632 | + | 12.2283i | 0.596577 | + | 0.526224i | ||||
\(541\) | 31.4204 | − | 18.1406i | 1.35087 | − | 0.779924i | 0.362497 | − | 0.931985i | \(-0.381924\pi\) |
0.988371 | + | 0.152061i | \(0.0485909\pi\) | |||||||
\(542\) | 11.9654 | − | 0.616135i | 0.513957 | − | 0.0264652i | ||||
\(543\) | −12.0181 | − | 6.93865i | −0.515746 | − | 0.297766i | ||||
\(544\) | 0.192519 | + | 0.731824i | 0.00825417 | + | 0.0313767i | ||||
\(545\) | 13.9466 | + | 4.34659i | 0.597408 | + | 0.186188i | ||||
\(546\) | −7.71415 | + | 61.9396i | −0.330135 | + | 2.65077i | ||||
\(547\) | −13.3940 | −0.572687 | −0.286343 | − | 0.958127i | \(-0.592440\pi\) | ||||
−0.286343 | + | 0.958127i | \(0.592440\pi\) | |||||||
\(548\) | −3.35783 | − | 32.5181i | −0.143439 | − | 1.38911i | ||||
\(549\) | 27.6095 | + | 15.9404i | 1.17835 | + | 0.680318i | ||||
\(550\) | −7.92095 | + | 12.8389i | −0.337750 | + | 0.547453i | ||||
\(551\) | 12.2457 | + | 21.2102i | 0.521685 | + | 0.903584i | ||||
\(552\) | −3.35260 | − | 21.5490i | −0.142696 | − | 0.917185i | ||||
\(553\) | 0.0673369 | − | 0.380065i | 0.00286346 | − | 0.0161620i | ||||
\(554\) | 2.50116 | + | 3.85915i | 0.106264 | + | 0.163960i | ||||
\(555\) | 65.8841 | − | 14.8354i | 2.79662 | − | 0.629728i | ||||
\(556\) | 2.00899 | − | 1.45402i | 0.0852001 | − | 0.0616644i | ||||
\(557\) | 1.09992 | − | 1.90513i | 0.0466053 | − | 0.0807227i | −0.841782 | − | 0.539818i | \(-0.818493\pi\) |
0.888387 | + | 0.459095i | \(0.151826\pi\) | |||||||
\(558\) | 10.0067 | − | 19.5951i | 0.423619 | − | 0.829527i | ||||
\(559\) | −55.2360 | −2.33623 | ||||||||
\(560\) | 16.8977 | − | 16.5671i | 0.714059 | − | 0.700086i | ||||
\(561\) | −0.782023 | −0.0330170 | ||||||||
\(562\) | 10.5495 | − | 20.6579i | 0.445002 | − | 0.871400i | ||||
\(563\) | 10.3121 | − | 17.8611i | 0.434603 | − | 0.752755i | −0.562660 | − | 0.826688i | \(-0.690222\pi\) |
0.997263 | + | 0.0739336i | \(0.0235553\pi\) | |||||||
\(564\) | −14.5998 | + | 10.5667i | −0.614762 | + | 0.444939i | ||||
\(565\) | 0.921644 | + | 4.09302i | 0.0387738 | + | 0.172195i | ||||
\(566\) | −12.7200 | − | 19.6263i | −0.534662 | − | 0.824954i | ||||
\(567\) | −5.46864 | + | 1.98535i | −0.229661 | + | 0.0833768i | ||||
\(568\) | −26.9230 | + | 4.18869i | −1.12966 | + | 0.175754i | ||||
\(569\) | 11.4607 | + | 19.8506i | 0.480459 | + | 0.832180i | 0.999749 | − | 0.0224188i | \(-0.00713672\pi\) |
−0.519290 | + | 0.854598i | \(0.673803\pi\) | |||||||
\(570\) | 31.7740 | + | 8.13592i | 1.33086 | + | 0.340776i | ||||
\(571\) | 15.6853 | + | 9.05590i | 0.656408 | + | 0.378978i | 0.790907 | − | 0.611936i | \(-0.209609\pi\) |
−0.134499 | + | 0.990914i | \(0.542942\pi\) | |||||||
\(572\) | 2.66815 | + | 25.8392i | 0.111561 | + | 1.08039i | ||||
\(573\) | −39.8207 | −1.66353 | ||||||||
\(574\) | −13.0914 | + | 5.53024i | −0.546425 | + | 0.230828i | ||||
\(575\) | 7.99318 | − | 11.5780i | 0.333339 | − | 0.482837i | ||||
\(576\) | −26.6712 | − | 24.2805i | −1.11130 | − | 1.01169i | ||||
\(577\) | 4.99051 | + | 2.88127i | 0.207758 | + | 0.119949i | 0.600269 | − | 0.799798i | \(-0.295060\pi\) |
−0.392511 | + | 0.919747i | \(0.628394\pi\) | |||||||
\(578\) | 23.9845 | − | 1.23504i | 0.997626 | − | 0.0513709i | ||||
\(579\) | −11.9127 | + | 6.87778i | −0.495074 | + | 0.285831i | ||||
\(580\) | 19.1415 | − | 21.7006i | 0.794807 | − | 0.901068i | ||||
\(581\) | −4.70385 | − | 3.95357i | −0.195148 | − | 0.164022i | ||||
\(582\) | −47.1780 | + | 30.5766i | −1.95559 | + | 1.26744i | ||||
\(583\) | 8.14563 | − | 4.70288i | 0.337357 | − | 0.194773i | ||||
\(584\) | −27.3073 | − | 10.5681i | −1.12999 | − | 0.437312i | ||||
\(585\) | 41.6137 | + | 45.1123i | 1.72051 | + | 1.86516i | ||||
\(586\) | −15.9438 | + | 31.2210i | −0.658631 | + | 1.28973i | ||||
\(587\) | −38.0279 | −1.56958 | −0.784791 | − | 0.619761i | \(-0.787230\pi\) | ||||
−0.784791 | + | 0.619761i | \(0.787230\pi\) | |||||||
\(588\) | −10.4463 | − | 36.9126i | −0.430797 | − | 1.52225i | ||||
\(589\) | − | 13.0619i | − | 0.538207i | ||||||
\(590\) | −1.53476 | + | 1.56930i | −0.0631849 | + | 0.0646071i | ||||
\(591\) | −29.0158 | + | 50.2568i | −1.19355 | + | 2.06729i | ||||
\(592\) | −43.1576 | + | 9.00897i | −1.77377 | + | 0.370266i | ||||
\(593\) | 10.0001 | − | 5.77354i | 0.410654 | − | 0.237091i | −0.280417 | − | 0.959878i | \(-0.590473\pi\) |
0.691071 | + | 0.722787i | \(0.257139\pi\) | |||||||
\(594\) | 10.4656 | − | 6.78289i | 0.429410 | − | 0.278305i | ||||
\(595\) | 0.426883 | + | 0.666397i | 0.0175005 | + | 0.0273196i | ||||
\(596\) | 13.9249 | + | 6.23024i | 0.570387 | + | 0.255200i | ||||
\(597\) | 5.01902 | + | 8.69319i | 0.205415 | + | 0.355789i | ||||
\(598\) | −1.24583 | − | 24.1941i | −0.0509458 | − | 0.989370i | ||||
\(599\) | 17.5545 | − | 30.4052i | 0.717256 | − | 1.24232i | −0.244827 | − | 0.969567i | \(-0.578731\pi\) |
0.962083 | − | 0.272757i | \(-0.0879355\pi\) | |||||||
\(600\) | −2.85363 | − | 38.6466i | −0.116499 | − | 1.57774i | ||||
\(601\) | −21.5369 | −0.878508 | −0.439254 | − | 0.898363i | \(-0.644757\pi\) | ||||
−0.439254 | + | 0.898363i | \(0.644757\pi\) | |||||||
\(602\) | 31.2723 | − | 13.2104i | 1.27456 | − | 0.538417i | ||||
\(603\) | 36.2896 | 1.47783 | ||||||||
\(604\) | 35.0415 | − | 3.61839i | 1.42582 | − | 0.147230i | ||||
\(605\) | −9.77659 | − | 10.5985i | −0.397475 | − | 0.430892i | ||||
\(606\) | 2.18827 | + | 42.4963i | 0.0888924 | + | 1.72629i | ||||
\(607\) | −9.17528 | + | 5.29735i | −0.372413 | + | 0.215013i | −0.674512 | − | 0.738264i | \(-0.735646\pi\) |
0.302099 | + | 0.953277i | \(0.402313\pi\) | |||||||
\(608\) | −20.6570 | − | 5.63614i | −0.837754 | − | 0.228576i | ||||
\(609\) | −16.0076 | − | 44.0930i | −0.648661 | − | 1.78674i | ||||
\(610\) | −6.02754 | − | 21.5336i | −0.244048 | − | 0.871870i | ||||
\(611\) | −17.3384 | + | 10.0103i | −0.701436 | + | 0.404974i | ||||
\(612\) | 0.977138 | − | 0.707213i | 0.0394985 | − | 0.0285874i | ||||
\(613\) | −15.4694 | + | 26.7937i | −0.624802 | + | 1.08219i | 0.363777 | + | 0.931486i | \(0.381487\pi\) |
−0.988579 | + | 0.150702i | \(0.951846\pi\) | |||||||
\(614\) | −7.79787 | + | 15.2697i | −0.314696 | + | 0.616236i | ||||
\(615\) | −6.92452 | + | 22.2183i | −0.279224 | + | 0.895928i | ||||
\(616\) | −7.69039 | − | 13.9909i | −0.309854 | − | 0.563711i | ||||
\(617\) | 2.10027i | 0.0845538i | 0.999106 | + | 0.0422769i | \(0.0134612\pi\) | ||||
−0.999106 | + | 0.0422769i | \(0.986539\pi\) | |||||||
\(618\) | −18.5690 | − | 9.48274i | −0.746956 | − | 0.381452i | ||||
\(619\) | 38.1487 | + | 22.0252i | 1.53333 | + | 0.885267i | 0.999205 | + | 0.0398593i | \(0.0126910\pi\) |
0.534122 | + | 0.845408i | \(0.320642\pi\) | |||||||
\(620\) | −14.6277 | + | 4.91861i | −0.587463 | + | 0.197536i | ||||
\(621\) | −10.0728 | + | 5.81553i | −0.404207 | + | 0.233369i | ||||
\(622\) | 21.2338 | + | 32.7626i | 0.851399 | + | 1.31366i | ||||
\(623\) | −1.48023 | + | 8.35473i | −0.0593040 | + | 0.334725i | ||||
\(624\) | −44.4684 | − | 49.7510i | −1.78016 | − | 1.99163i | ||||
\(625\) | 15.8144 | − | 19.3625i | 0.632576 | − | 0.774499i | ||||
\(626\) | −2.39170 | − | 46.4470i | −0.0955916 | − | 1.85639i | ||||
\(627\) | 11.0640 | − | 19.1634i | 0.441854 | − | 0.765313i | ||||
\(628\) | −15.6065 | + | 1.61153i | −0.622766 | + | 0.0643069i | ||||
\(629\) | − | 1.47442i | − | 0.0587890i | ||||||
\(630\) | −34.3492 | − | 15.5882i | −1.36850 | − | 0.621050i | ||||
\(631\) | 29.3294 | 1.16758 | 0.583792 | − | 0.811903i | \(-0.301568\pi\) | ||||
0.583792 | + | 0.811903i | \(0.301568\pi\) | |||||||
\(632\) | 0.258800 | + | 0.321386i | 0.0102945 | + | 0.0127841i | ||||
\(633\) | 4.32878 | + | 2.49922i | 0.172054 | + | 0.0993351i | ||||
\(634\) | 22.8371 | − | 1.17595i | 0.906976 | − | 0.0467030i | ||||
\(635\) | −2.03421 | − | 9.03392i | −0.0807251 | − | 0.358500i | ||||
\(636\) | −9.86752 | + | 22.0544i | −0.391273 | + | 0.874515i | ||||
\(637\) | −7.33130 | − | 41.9802i | −0.290477 | − | 1.66332i | ||||
\(638\) | −10.6175 | − | 16.3822i | −0.420351 | − | 0.648579i | ||||
\(639\) | 21.7157 | + | 37.6127i | 0.859059 | + | 1.48793i | ||||
\(640\) | 1.46687 | + | 25.2557i | 0.0579832 | + | 0.998318i | ||||
\(641\) | 8.49533 | − | 14.7144i | 0.335546 | − | 0.581182i | −0.648044 | − | 0.761603i | \(-0.724413\pi\) |
0.983589 | + | 0.180421i | \(0.0577460\pi\) | |||||||
\(642\) | −7.11937 | + | 13.9411i | −0.280979 | + | 0.550211i | ||||
\(643\) | 9.47205 | 0.373541 | 0.186771 | − | 0.982404i | \(-0.440198\pi\) | ||||
0.186771 | + | 0.982404i | \(0.440198\pi\) | |||||||
\(644\) | 6.49168 | + | 13.3997i | 0.255808 | + | 0.528023i | ||||
\(645\) | 16.5410 | − | 53.0742i | 0.651303 | − | 2.08980i | ||||
\(646\) | 0.325676 | − | 0.637736i | 0.0128135 | − | 0.0250914i | ||||
\(647\) | −38.7747 | − | 22.3866i | −1.52439 | − | 0.880107i | −0.999583 | − | 0.0288861i | \(-0.990804\pi\) |
−0.524807 | − | 0.851221i | \(-0.675863\pi\) | |||||||
\(648\) | 2.24478 | − | 5.80035i | 0.0881831 | − | 0.227859i | ||||
\(649\) | 0.740444 | + | 1.28249i | 0.0290650 | + | 0.0503420i | ||||
\(650\) | 1.25640 | − | 43.0299i | 0.0492801 | − | 1.68777i | ||||
\(651\) | −4.36448 | + | 24.6341i | −0.171057 | + | 0.965485i | ||||
\(652\) | 1.01051 | − | 2.25855i | 0.0395747 | − | 0.0884515i | ||||
\(653\) | 9.50325 | + | 16.4601i | 0.371891 | + | 0.644134i | 0.989856 | − | 0.142071i | \(-0.0453762\pi\) |
−0.617966 | + | 0.786205i | \(0.712043\pi\) | |||||||
\(654\) | 1.30191 | + | 25.2831i | 0.0509086 | + | 0.988647i | ||||
\(655\) | −17.8272 | + | 16.4447i | −0.696567 | + | 0.642546i | ||||
\(656\) | 4.74753 | − | 14.4320i | 0.185360 | − | 0.563475i | ||||
\(657\) | 46.6737i | 1.82092i | ||||||||
\(658\) | 7.42218 | − | 9.81415i | 0.289347 | − | 0.382595i | ||||
\(659\) | − | 35.4688i | − | 1.38167i | −0.723013 | − | 0.690835i | \(-0.757243\pi\) | ||
0.723013 | − | 0.690835i | \(-0.242757\pi\) | |||||||
\(660\) | −25.6269 | − | 5.17410i | −0.997526 | − | 0.201402i | ||||
\(661\) | −15.4781 | − | 8.93629i | −0.602029 | − | 0.347581i | 0.167811 | − | 0.985819i | \(-0.446330\pi\) |
−0.769839 | + | 0.638238i | \(0.779664\pi\) | |||||||
\(662\) | −1.95410 | − | 37.9488i | −0.0759484 | − | 1.47492i | ||||
\(663\) | 1.93259 | − | 1.11578i | 0.0750556 | − | 0.0433334i | ||||
\(664\) | 6.49084 | − | 1.00985i | 0.251893 | − | 0.0391897i | ||||
\(665\) | −22.3695 | + | 1.03259i | −0.867453 | + | 0.0400421i | ||||
\(666\) | 38.2212 | + | 58.9731i | 1.48104 | + | 2.28516i | ||||
\(667\) | 9.10327 | + | 15.7673i | 0.352480 | + | 0.610514i | ||||
\(668\) | −26.5172 | + | 19.1921i | −1.02598 | + | 0.742564i | ||||
\(669\) | −45.0219 | − | 25.9934i | −1.74065 | − | 1.00496i | ||||
\(670\) | −18.1976 | − | 17.7970i | −0.703036 | − | 0.687560i | ||||
\(671\) | −15.0861 | −0.582393 | ||||||||
\(672\) | 37.0748 | + | 17.5317i | 1.43019 | + | 0.676302i | ||||
\(673\) | − | 22.0936i | − | 0.851645i | −0.904807 | − | 0.425822i | \(-0.859985\pi\) | ||
0.904807 | − | 0.425822i | \(-0.140015\pi\) | |||||||
\(674\) | 17.0050 | + | 8.68403i | 0.655009 | + | 0.334496i | ||||
\(675\) | −18.6729 | + | 8.85849i | −0.718721 | + | 0.340963i | ||||
\(676\) | −28.2167 | − | 38.9863i | −1.08526 | − | 1.49947i | ||||
\(677\) | −8.47585 | − | 14.6806i | −0.325754 | − | 0.564222i | 0.655911 | − | 0.754838i | \(-0.272285\pi\) |
−0.981665 | + | 0.190617i | \(0.938951\pi\) | |||||||
\(678\) | −6.10153 | + | 3.95447i | −0.234328 | + | 0.151871i | ||||
\(679\) | 24.6968 | − | 29.3835i | 0.947775 | − | 1.12764i | ||||
\(680\) | −0.836821 | − | 0.124569i | −0.0320906 | − | 0.00477702i | ||||
\(681\) | 9.38708 | + | 16.2589i | 0.359714 | + | 0.623042i | ||||
\(682\) | 0.535417 | + | 10.3978i | 0.0205022 | + | 0.398154i | ||||
\(683\) | −11.6719 | + | 20.2163i | −0.446613 | + | 0.773557i | −0.998163 | − | 0.0605852i | \(-0.980703\pi\) |
0.551550 | + | 0.834142i | \(0.314037\pi\) | |||||||
\(684\) | 3.50571 | + | 33.9503i | 0.134044 | + | 1.29812i | ||||
\(685\) | 34.8943 | + | 10.8751i | 1.33324 | + | 0.415517i | ||||
\(686\) | 14.1908 | + | 22.0141i | 0.541808 | + | 0.840502i | ||||
\(687\) | − | 35.3102i | − | 1.34717i | ||||||
\(688\) | −11.3407 | + | 34.4746i | −0.432361 | + | 1.31433i | ||||
\(689\) | −13.4200 | + | 23.2442i | −0.511262 | + | 0.885532i | ||||
\(690\) | 23.6203 | + | 6.04813i | 0.899209 | + | 0.230248i | ||||
\(691\) | −26.6149 | + | 15.3661i | −1.01248 | + | 0.584555i | −0.911917 | − | 0.410375i | \(-0.865398\pi\) |
−0.100563 | + | 0.994931i | \(0.532064\pi\) | |||||||
\(692\) | −3.25776 | + | 7.28126i | −0.123841 | + | 0.276792i | ||||
\(693\) | −16.3739 | + | 19.4812i | −0.621994 | + | 0.740031i | ||||
\(694\) | −17.6772 | − | 27.2749i | −0.671018 | − | 1.03534i | ||||
\(695\) | 0.609087 | + | 2.70496i | 0.0231040 | + | 0.102605i | ||||
\(696\) | 46.7675 | + | 18.0993i | 1.77272 | + | 0.686054i | ||||
\(697\) | 0.440019 | + | 0.254045i | 0.0166669 | + | 0.00962264i | ||||
\(698\) | 11.8719 | + | 6.06270i | 0.449360 | + | 0.229477i | ||||
\(699\) | − | 0.0885107i | − | 0.00334778i | ||||||
\(700\) | 9.57987 | + | 24.6622i | 0.362085 | + | 0.932145i | ||||
\(701\) | 46.2468i | 1.74672i | 0.487076 | + | 0.873360i | \(0.338063\pi\) | ||||
−0.487076 | + | 0.873360i | \(0.661937\pi\) | |||||||
\(702\) | −16.1856 | + | 31.6946i | −0.610887 | + | 1.19623i | ||||
\(703\) | 36.1305 | + | 20.8600i | 1.36269 | + | 0.786749i | ||||
\(704\) | 16.6749 | + | 3.63986i | 0.628459 | + | 0.137182i | ||||
\(705\) | −4.42638 | − | 19.6575i | −0.166707 | − | 0.740346i | ||||
\(706\) | 22.5663 | − | 14.6255i | 0.849292 | − | 0.550436i | ||||
\(707\) | −9.91416 | − | 27.3086i | −0.372861 | − | 1.02704i | ||||
\(708\) | −3.47236 | − | 1.55359i | −0.130499 | − | 0.0583875i | ||||
\(709\) | −29.6911 | + | 17.1422i | −1.11507 | + | 0.643787i | −0.940138 | − | 0.340793i | \(-0.889304\pi\) |
−0.174934 | + | 0.984580i | \(0.555971\pi\) | |||||||
\(710\) | 7.55644 | − | 29.5109i | 0.283588 | − | 1.10752i | ||||
\(711\) | 0.328868 | − | 0.569616i | 0.0123335 | − | 0.0213623i | ||||
\(712\) | −5.68905 | − | 7.06483i | −0.213206 | − | 0.264766i | ||||
\(713\) | − | 9.71004i | − | 0.363644i | ||||||
\(714\) | −0.827298 | + | 1.09391i | −0.0309609 | + | 0.0409387i | ||||
\(715\) | −27.7273 | − | 8.64145i | −1.03694 | − | 0.323172i | ||||
\(716\) | 3.95176 | + | 38.2699i | 0.147684 | + | 1.43021i | ||||
\(717\) | 6.61173 | − | 11.4519i | 0.246920 | − | 0.427678i | ||||
\(718\) | −0.261224 | + | 0.0134513i | −0.00974881 | + | 0.000501997i | ||||
\(719\) | 12.8833 | + | 22.3145i | 0.480465 | + | 0.832190i | 0.999749 | − | 0.0224116i | \(-0.00713443\pi\) |
−0.519283 | + | 0.854602i | \(0.673801\pi\) | |||||||
\(720\) | 36.7000 | − | 16.7103i | 1.36773 | − | 0.622757i | ||||
\(721\) | 14.0171 | + | 2.48343i | 0.522022 | + | 0.0924879i | ||||
\(722\) | −3.59389 | − | 5.54517i | −0.133751 | − | 0.206370i | ||||
\(723\) | 29.5907 | + | 51.2526i | 1.10049 | + | 1.90611i | ||||
\(724\) | −8.20523 | + | 5.93861i | −0.304945 | + | 0.220707i | ||||
\(725\) | 13.8665 | + | 29.2294i | 0.514990 | + | 1.08555i | ||||
\(726\) | 11.3650 | − | 22.2548i | 0.421794 | − | 0.825953i | ||||
\(727\) | 37.7082i | 1.39852i | 0.714867 | + | 0.699260i | \(0.246487\pi\) | ||||
−0.714867 | + | 0.699260i | \(0.753513\pi\) | |||||||
\(728\) | 38.9671 | + | 23.6028i | 1.44422 | + | 0.874779i | ||||
\(729\) | −43.8936 | −1.62569 | ||||||||
\(730\) | 22.8896 | − | 23.4048i | 0.847182 | − | 0.866252i | ||||
\(731\) | −1.05110 | − | 0.606853i | −0.0388764 | − | 0.0224453i | ||||
\(732\) | 31.3932 | − | 22.7211i | 1.16033 | − | 0.839796i | ||||
\(733\) | 1.98974 | + | 3.44633i | 0.0734927 | + | 0.127293i | 0.900430 | − | 0.435001i | \(-0.143252\pi\) |
−0.826937 | + | 0.562294i | \(0.809919\pi\) | |||||||
\(734\) | −5.52557 | + | 3.58118i | −0.203952 | + | 0.132184i | ||||
\(735\) | 42.5327 | + | 5.52709i | 1.56884 | + | 0.203870i | ||||
\(736\) | −15.3561 | − | 4.18982i | −0.566035 | − | 0.154439i | ||||
\(737\) | −14.8717 | + | 8.58620i | −0.547808 | + | 0.316277i | ||||
\(738\) | −24.1852 | + | 1.24537i | −0.890270 | + | 0.0458428i | ||||
\(739\) | 6.04586 | + | 3.49058i | 0.222400 | + | 0.128403i | 0.607061 | − | 0.794655i | \(-0.292348\pi\) |
−0.384661 | + | 0.923058i | \(0.625682\pi\) | |||||||
\(740\) | 9.75520 | − | 48.3168i | 0.358608 | − | 1.77616i | ||||
\(741\) | 63.1440i | 2.31965i | ||||||||
\(742\) | 2.03870 | − | 16.3695i | 0.0748431 | − | 0.600942i | ||||
\(743\) | 1.57992i | 0.0579618i | 0.999580 | + | 0.0289809i | \(0.00922619\pi\) | ||||
−0.999580 | + | 0.0289809i | \(0.990774\pi\) | |||||||
\(744\) | −16.7743 | − | 20.8308i | −0.614975 | − | 0.763694i | ||||
\(745\) | −12.5366 | + | 11.5643i | −0.459304 | + | 0.423684i | ||||
\(746\) | −18.3731 | + | 0.946091i | −0.672688 | + | 0.0346388i | ||||
\(747\) | −5.23541 | − | 9.06800i | −0.191554 | − | 0.331781i | ||||
\(748\) | −0.233110 | + | 0.521014i | −0.00852336 | + | 0.0190502i | ||||
\(749\) | 1.86449 | − | 10.5236i | 0.0681270 | − | 0.384524i | ||||
\(750\) | 40.9696 | + | 14.0930i | 1.49600 | + | 0.514605i | ||||
\(751\) | −14.0937 | − | 24.4110i | −0.514286 | − | 0.890770i | −0.999863 | − | 0.0165756i | \(-0.994724\pi\) |
0.485576 | − | 0.874194i | \(-0.338610\pi\) | |||||||
\(752\) | 2.68797 | + | 12.8767i | 0.0980201 | + | 0.469566i | ||||
\(753\) | −69.9546 | − | 40.3883i | −2.54929 | − | 1.47183i | ||||
\(754\) | 49.6127 | + | 25.3360i | 1.80679 | + | 0.922682i | ||||
\(755\) | −11.7190 | + | 37.6021i | −0.426499 | + | 1.36848i | ||||
\(756\) | 1.58344 | − | 21.8152i | 0.0575892 | − | 0.793410i | ||||
\(757\) | −20.0301 | −0.728005 | −0.364002 | − | 0.931398i | \(-0.618590\pi\) | ||||
−0.364002 | + | 0.931398i | \(0.618590\pi\) | |||||||
\(758\) | −34.3447 | − | 17.5390i | −1.24746 | − | 0.637045i | ||||
\(759\) | 8.22482 | − | 14.2458i | 0.298542 | − | 0.517090i | ||||
\(760\) | 14.8919 | − | 18.7438i | 0.540184 | − | 0.679911i | ||||
\(761\) | −3.42583 | − | 5.93371i | −0.124186 | − | 0.215097i | 0.797228 | − | 0.603678i | \(-0.206299\pi\) |
−0.921415 | + | 0.388581i | \(0.872965\pi\) | |||||||
\(762\) | 13.4670 | − | 8.72812i | 0.487858 | − | 0.316187i | ||||
\(763\) | −5.89841 | − | 16.2472i | −0.213537 | − | 0.588188i | ||||
\(764\) | −11.8700 | + | 26.5301i | −0.429442 | + | 0.959825i | ||||
\(765\) | 0.296250 | + | 1.31565i | 0.0107109 | + | 0.0475672i | ||||
\(766\) | −0.533933 | − | 10.3690i | −0.0192918 | − | 0.374647i | ||||
\(767\) | −3.65968 | − | 2.11291i | −0.132143 | − | 0.0762929i | ||||
\(768\) | −40.1813 | + | 17.5397i | −1.44992 | + | 0.632908i | ||||
\(769\) | 30.9952 | 1.11772 | 0.558858 | − | 0.829264i | \(-0.311240\pi\) | ||||
0.558858 | + | 0.829264i | \(0.311240\pi\) | |||||||
\(770\) | 17.7648 | − | 1.73893i | 0.640197 | − | 0.0626666i | ||||
\(771\) | − | 9.67990i | − | 0.348613i | ||||||
\(772\) | 1.03124 | + | 9.98686i | 0.0371153 | + | 0.359435i | ||||
\(773\) | 19.6576 | − | 34.0479i | 0.707033 | − | 1.22462i | −0.258920 | − | 0.965899i | \(-0.583367\pi\) |
0.965953 | − | 0.258718i | \(-0.0833001\pi\) | |||||||
\(774\) | 57.7728 | − | 2.97490i | 2.07660 | − | 0.106931i | ||||
\(775\) | 1.38982 | − | 17.1980i | 0.0499240 | − | 0.617771i | ||||
\(776\) | 6.30821 | + | 40.5463i | 0.226452 | + | 1.45553i | ||||
\(777\) | −61.1701 | − | 51.4133i | −2.19447 | − | 1.84444i | ||||
\(778\) | 0.240374 | − | 0.155789i | 0.00861783 | − | 0.00558532i | ||||
\(779\) | −12.4507 | + | 7.18842i | −0.446093 | + | 0.257552i | ||||
\(780\) | 70.7134 | − | 23.7776i | 2.53194 | − | 0.851374i | ||||
\(781\) | −17.7985 | − | 10.2760i | −0.636880 | − | 0.367703i | ||||
\(782\) | 0.242102 | − | 0.474083i | 0.00865757 | − | 0.0169532i | ||||
\(783\) | − | 26.7454i | − | 0.955804i | ||||||
\(784\) | −27.7065 | − | 4.04342i | −0.989518 | − | 0.144408i | ||||
\(785\) | 5.21931 | − | 16.7469i | 0.186285 | − | 0.597722i | ||||
\(786\) | −37.4336 | − | 19.1164i | −1.33521 | − | 0.681859i | ||||
\(787\) | −0.739671 | + | 1.28115i | −0.0263664 | + | 0.0456680i | −0.878908 | − | 0.476992i | \(-0.841727\pi\) |
0.852541 | + | 0.522660i | \(0.175060\pi\) | |||||||
\(788\) | 24.8338 | + | 34.3123i | 0.884669 | + | 1.22233i | ||||
\(789\) | 6.33540 | − | 3.65774i | 0.225546 | − | 0.130219i | ||||
\(790\) | −0.444263 | + | 0.124355i | −0.0158062 | + | 0.00442435i | ||||
\(791\) | 3.19403 | − | 3.80017i | 0.113567 | − | 0.135118i | ||||
\(792\) | −4.18234 | − | 26.8822i | −0.148613 | − | 0.955216i | ||||
\(793\) | 37.2819 | − | 21.5247i | 1.32392 | − | 0.764365i | ||||
\(794\) | 0.515302 | − | 0.0265345i | 0.0182874 | − | 0.000941674i | ||||
\(795\) | −18.3157 | − | 19.8556i | −0.649591 | − | 0.704204i | ||||
\(796\) | 7.28784 | − | 0.752543i | 0.258311 | − | 0.0266732i | ||||
\(797\) | 22.9420 | 0.812646 | 0.406323 | − | 0.913730i | \(-0.366811\pi\) | ||||
0.406323 | + | 0.913730i | \(0.366811\pi\) | |||||||
\(798\) | −15.1017 | − | 35.7495i | −0.534596 | − | 1.26552i | ||||
\(799\) | −0.439916 | −0.0155631 | ||||||||
\(800\) | −26.5985 | − | 9.61881i | −0.940398 | − | 0.340076i | ||||
\(801\) | −7.22930 | + | 12.5215i | −0.255435 | + | 0.442426i | ||||
\(802\) | −51.3706 | + | 2.64523i | −1.81396 | + | 0.0934065i | ||||
\(803\) | −11.0431 | − | 19.1272i | −0.389703 | − | 0.674986i | ||||
\(804\) | 18.0155 | − | 40.2655i | 0.635356 | − | 1.42006i | ||||
\(805\) | −16.6292 | + | 0.767612i | −0.586101 | + | 0.0270548i | ||||
\(806\) | −16.1587 | − | 24.9319i | −0.569165 | − | 0.878190i | ||||
\(807\) | 53.7017 | − | 31.0047i | 1.89039 | − | 1.09142i | ||||
\(808\) | 28.9650 | + | 11.2097i | 1.01898 | + | 0.394354i | ||||
\(809\) | 17.7624 | − | 30.7653i | 0.624492 | − | 1.08165i | −0.364147 | − | 0.931341i | \(-0.618639\pi\) |
0.988639 | − | 0.150310i | \(-0.0480272\pi\) | |||||||
\(810\) | 4.97142 | + | 4.86198i | 0.174678 | + | 0.170832i | ||||
\(811\) | 16.9327i | 0.594588i | 0.954786 | + | 0.297294i | \(0.0960841\pi\) | ||||
−0.954786 | + | 0.297294i | \(0.903916\pi\) | |||||||
\(812\) | −34.1481 | − | 2.47862i | −1.19836 | − | 0.0869825i | ||||
\(813\) | −23.2147 | −0.814174 | ||||||||
\(814\) | −29.6165 | − | 15.1244i | −1.03806 | − | 0.530110i | ||||
\(815\) | 1.87567 | + | 2.03336i | 0.0657019 | + | 0.0712256i | ||||
\(816\) | −0.299609 | − | 1.43528i | −0.0104884 | − | 0.0502449i | ||||
\(817\) | 29.7418 | − | 17.1714i | 1.04053 | − | 0.600752i | ||||
\(818\) | 8.30861 | + | 12.8197i | 0.290504 | + | 0.448231i | ||||
\(819\) | 12.6688 | − | 71.5056i | 0.442684 | − | 2.49861i | ||||
\(820\) | 12.7386 | + | 11.2364i | 0.444851 | + | 0.392390i | ||||
\(821\) | 21.0726 | − | 12.1663i | 0.735440 | − | 0.424606i | −0.0849691 | − | 0.996384i | \(-0.527079\pi\) |
0.820409 | + | 0.571777i | \(0.193746\pi\) | |||||||
\(822\) | 3.25735 | + | 63.2579i | 0.113613 | + | 2.20637i | ||||
\(823\) | 27.8187 | + | 16.0611i | 0.969698 | + | 0.559856i | 0.899144 | − | 0.437652i | \(-0.144190\pi\) |
0.0705541 | + | 0.997508i | \(0.477523\pi\) | |||||||
\(824\) | −11.8529 | + | 9.54474i | −0.412917 | + | 0.332507i | ||||
\(825\) | 16.6065 | − | 24.0543i | 0.578164 | − | 0.837465i | ||||
\(826\) | 2.57729 | + | 0.320983i | 0.0896754 | + | 0.0111684i | ||||
\(827\) | 18.8774 | 0.656431 | 0.328215 | − | 0.944603i | \(-0.393553\pi\) | ||||
0.328215 | + | 0.944603i | \(0.393553\pi\) | |||||||
\(828\) | 2.60609 | + | 25.2381i | 0.0905680 | + | 0.877086i | ||||
\(829\) | −13.1796 | − | 7.60926i | −0.457747 | − | 0.264280i | 0.253349 | − | 0.967375i | \(-0.418468\pi\) |
−0.711096 | + | 0.703094i | \(0.751801\pi\) | |||||||
\(830\) | −1.82178 | + | 7.11474i | −0.0632347 | + | 0.246956i | ||||
\(831\) | −4.45528 | − | 7.71676i | −0.154552 | − | 0.267692i | ||||
\(832\) | −46.4015 | + | 14.7965i | −1.60868 | + | 0.512976i | ||||
\(833\) | 0.321709 | − | 0.879399i | 0.0111466 | − | 0.0304694i | ||||
\(834\) | −4.03232 | + | 2.61340i | −0.139628 | + | 0.0904945i | ||||
\(835\) | −8.03952 | − | 35.7035i | −0.278219 | − | 1.23557i | ||||
\(836\) | −9.46939 | − | 13.0836i | −0.327506 | − | 0.452507i | ||||
\(837\) | −7.13203 | + | 12.3530i | −0.246519 | + | 0.426983i | ||||
\(838\) | 23.5180 | + | 12.0100i | 0.812415 | + | 0.414880i | ||||
\(839\) | 42.1502 | 1.45519 | 0.727593 | − | 0.686009i | \(-0.240639\pi\) | ||||
0.727593 | + | 0.686009i | \(0.240639\pi\) | |||||||
\(840\) | −34.3482 | + | 30.3740i | −1.18513 | + | 1.04800i | ||||
\(841\) | −12.8656 | −0.443643 | ||||||||
\(842\) | −20.9975 | − | 10.7229i | −0.723621 | − | 0.369535i | ||||
\(843\) | −22.4718 | + | 38.9224i | −0.773971 | + | 1.34056i | ||||
\(844\) | 2.95543 | − | 2.13902i | 0.101730 | − | 0.0736280i | ||||
\(845\) | 52.4923 | − | 11.8199i | 1.80579 | − | 0.406618i | ||||
\(846\) | 17.5956 | − | 11.4039i | 0.604948 | − | 0.392073i | ||||
\(847\) | −2.97637 | + | 16.7993i | −0.102269 | + | 0.577231i | ||||
\(848\) | 11.7522 | + | 13.1483i | 0.403571 | + | 0.451513i | ||||
\(849\) | 22.6580 | + | 39.2448i | 0.777620 | + | 1.34688i | ||||
\(850\) | 0.496659 | − | 0.805025i | 0.0170353 | − | 0.0276121i | ||||
\(851\) | 26.8589 | + | 15.5070i | 0.920711 | + | 0.531573i | ||||
\(852\) | 52.5140 | − | 5.42260i | 1.79910 | − | 0.185775i | ||||
\(853\) | −17.3097 | −0.592675 | −0.296337 | − | 0.955083i | \(-0.595765\pi\) | ||||
−0.296337 | + | 0.955083i | \(0.595765\pi\) | |||||||
\(854\) | −15.9595 | + | 21.1029i | −0.546124 | + | 0.722125i | ||||
\(855\) | −36.4311 | − | 11.3541i | −1.24592 | − | 0.388301i | ||||
\(856\) | 7.16591 | + | 8.89885i | 0.244926 | + | 0.304156i | ||||
\(857\) | 5.34286 | + | 3.08470i | 0.182509 | + | 0.105371i | 0.588471 | − | 0.808518i | \(-0.299730\pi\) |
−0.405962 | + | 0.913890i | \(0.633063\pi\) | |||||||
\(858\) | −2.58832 | − | 50.2653i | −0.0883637 | − | 1.71603i | ||||
\(859\) | −17.6408 | + | 10.1849i | −0.601897 | + | 0.347505i | −0.769788 | − | 0.638300i | \(-0.779638\pi\) |
0.167890 | + | 0.985806i | \(0.446305\pi\) | |||||||
\(860\) | −30.4295 | − | 26.8410i | −1.03764 | − | 0.915270i | ||||
\(861\) | 25.8833 | − | 9.39672i | 0.882099 | − | 0.320239i | ||||
\(862\) | 4.54875 | + | 7.01847i | 0.154931 | + | 0.239050i | ||||
\(863\) | −24.6744 | + | 14.2458i | −0.839926 | + | 0.484932i | −0.857239 | − | 0.514918i | \(-0.827822\pi\) |
0.0173129 | + | 0.999850i | \(0.494489\pi\) | |||||||
\(864\) | 16.4585 | + | 16.6093i | 0.559930 | + | 0.565061i | ||||
\(865\) | −6.04692 | − | 6.55530i | −0.205601 | − | 0.222887i | ||||
\(866\) | −31.9907 | − | 16.3368i | −1.08709 | − | 0.555149i | ||||
\(867\) | −46.5337 | −1.58037 | ||||||||
\(868\) | 15.1112 | + | 10.2509i | 0.512907 | + | 0.347937i | ||||
\(869\) | 0.311244i | 0.0105582i | ||||||||
\(870\) | −39.2015 | + | 40.0839i | −1.32906 | + | 1.35897i | ||||
\(871\) | 24.5014 | − | 42.4377i | 0.830198 | − | 1.43795i | ||||
\(872\) | 17.2327 | + | 6.66916i | 0.583572 | + | 0.225846i | ||||
\(873\) | 56.6451 | − | 32.7040i | 1.91715 | − | 1.10686i | ||||
\(874\) | 8.19213 | + | 12.6400i | 0.277103 | + | 0.427554i | ||||
\(875\) | −29.5628 | − | 1.02062i | −0.999405 | − | 0.0345031i | ||||
\(876\) | 51.7874 | + | 23.1705i | 1.74973 | + | 0.782859i | ||||
\(877\) | −17.4347 | − | 30.1978i | −0.588729 | − | 1.01971i | −0.994399 | − | 0.105689i | \(-0.966295\pi\) |
0.405671 | − | 0.914019i | \(-0.367038\pi\) | |||||||
\(878\) | −35.5807 | + | 1.83216i | −1.20079 | + | 0.0618324i | ||||
\(879\) | 33.9625 | − | 58.8247i | 1.14553 | − | 1.98411i | ||||
\(880\) | −11.0862 | + | 15.5313i | −0.373716 | + | 0.523561i | ||||
\(881\) | −19.8680 | −0.669371 | −0.334685 | − | 0.942330i | \(-0.608630\pi\) | ||||
−0.334685 | + | 0.942330i | \(0.608630\pi\) | |||||||
\(882\) | 9.92898 | + | 43.5134i | 0.334326 | + | 1.46517i | ||||
\(883\) | −22.4507 | −0.755525 | −0.377763 | − | 0.925902i | \(-0.623306\pi\) | ||||
−0.377763 | + | 0.925902i | \(0.623306\pi\) | |||||||
\(884\) | −0.167299 | − | 1.62017i | −0.00562686 | − | 0.0544921i | ||||
\(885\) | 3.12615 | − | 2.88371i | 0.105085 | − | 0.0969349i | ||||
\(886\) | 33.2516 | − | 1.71223i | 1.11711 | − | 0.0575235i | ||||
\(887\) | −4.32682 | + | 2.49809i | −0.145280 | + | 0.0838777i | −0.570878 | − | 0.821035i | \(-0.693397\pi\) |
0.425598 | + | 0.904912i | \(0.360064\pi\) | |||||||
\(888\) | 84.4086 | − | 13.1323i | 2.83257 | − | 0.440692i | ||||
\(889\) | −7.04972 | + | 8.38755i | −0.236440 | + | 0.281310i | ||||
\(890\) | 9.76595 | − | 2.73362i | 0.327355 | − | 0.0916311i | ||||
\(891\) | 4.06281 | − | 2.34567i | 0.136109 | − | 0.0785828i | ||||
\(892\) | −30.7382 | + | 22.2471i | −1.02919 | + | 0.744886i | ||||
\(893\) | 6.22390 | − | 10.7801i | 0.208275 | − | 0.360743i | ||||
\(894\) | −26.3243 | − | 13.4431i | −0.880416 | − | 0.449606i | ||||
\(895\) | −41.0664 | − | 12.7987i | −1.37270 | − | 0.427813i | ||||
\(896\) | 22.7318 | − | 19.4747i | 0.759417 | − | 0.650604i | ||||
\(897\) | 46.9403i | 1.56729i | ||||||||
\(898\) | 3.35195 | − | 6.56376i | 0.111856 | − | 0.219036i | ||||
\(899\) | 19.3367 | + | 11.1640i | 0.644914 | + | 0.372341i | ||||
\(900\) | 1.00340 | + | 45.0738i | 0.0334468 | + | 1.50246i | ||||
\(901\) | −0.510747 | + | 0.294880i | −0.0170154 | + | 0.00982387i | ||||
\(902\) | 9.61662 | − | 6.23264i | 0.320199 | − | 0.207524i | ||||
\(903\) | −61.8290 | + | 22.4465i | −2.05754 | + | 0.746974i | ||||
\(904\) | 0.815841 | + | 5.24385i | 0.0271345 | + | 0.174408i | ||||
\(905\) | −2.48767 | − | 11.0477i | −0.0826930 | − | 0.367240i | ||||
\(906\) | −68.1668 | + | 3.51012i | −2.26469 | + | 0.116616i | ||||
\(907\) | 5.67005 | − | 9.82082i | 0.188271 | − | 0.326095i | −0.756403 | − | 0.654106i | \(-0.773045\pi\) |
0.944674 | + | 0.328011i | \(0.106378\pi\) | |||||||
\(908\) | 13.6305 | − | 1.40748i | 0.452343 | − | 0.0467090i | ||||
\(909\) | − | 49.5070i | − | 1.64204i | ||||||
\(910\) | −41.4204 | + | 29.6439i | −1.37307 | + | 0.982686i | ||||
\(911\) | −50.0834 | −1.65934 | −0.829669 | − | 0.558256i | \(-0.811471\pi\) | ||||
−0.829669 | + | 0.558256i | \(0.811471\pi\) | |||||||
\(912\) | 39.4103 | + | 12.9643i | 1.30501 | + | 0.429292i | ||||
\(913\) | 4.29102 | + | 2.47742i | 0.142012 | + | 0.0819907i | ||||
\(914\) | 0.565542 | + | 10.9829i | 0.0187065 | + | 0.363281i | ||||
\(915\) | 9.51781 | + | 42.2686i | 0.314649 | + | 1.39736i | ||||
\(916\) | −23.5250 | − | 10.5255i | −0.777288 | − | 0.347772i | ||||
\(917\) | 28.2572 | + | 5.00639i | 0.933134 | + | 0.165325i | ||||
\(918\) | −0.656215 | + | 0.425301i | −0.0216583 | + | 0.0140370i | ||||
\(919\) | 8.64229 | + | 14.9689i | 0.285083 | + | 0.493778i | 0.972629 | − | 0.232362i | \(-0.0746455\pi\) |
−0.687546 | + | 0.726140i | \(0.741312\pi\) | |||||||
\(920\) | 11.0704 | − | 13.9339i | 0.364980 | − | 0.459387i | ||||
\(921\) | 16.6105 | − | 28.7703i | 0.547336 | − | 0.948014i | ||||
\(922\) | −39.5200 | − | 20.1819i | −1.30152 | − | 0.664654i | ||||
\(923\) | 58.6465 | 1.93037 | ||||||||
\(924\) | 13.4870 | + | 27.8391i | 0.443690 | + | 0.915838i | ||||
\(925\) | 45.3519 | + | 31.3098i | 1.49116 | + | 1.02946i | ||||
\(926\) | −42.9487 | − | 21.9328i | −1.41138 | − | 0.720757i | ||||
\(927\) | 21.0078 | + | 12.1289i | 0.689988 | + | 0.398365i | ||||
\(928\) | 25.9992 | − | 25.7632i | 0.853467 | − | 0.845717i | ||||
\(929\) | −10.1998 | − | 17.6666i | −0.334646 | − | 0.579624i | 0.648771 | − | 0.760984i | \(-0.275283\pi\) |
−0.983417 | + | 0.181360i | \(0.941950\pi\) | |||||||
\(930\) | 28.7951 | − | 8.06013i | 0.944228 | − | 0.264302i | ||||
\(931\) | 16.9981 | + | 20.3251i | 0.557090 | + | 0.666129i | ||||
\(932\) | −0.0589693 | − | 0.0263838i | −0.00193160 | − | 0.000864231i | ||||
\(933\) | −37.8235 | − | 65.5122i | −1.23828 | − | 2.14477i | ||||
\(934\) | −30.5285 | + | 1.57201i | −0.998924 | + | 0.0514377i | ||||
\(935\) | −0.432690 | − | 0.469068i | −0.0141505 | − | 0.0153402i | ||||
\(936\) | 48.6908 | + | 60.4658i | 1.59151 | + | 1.97639i | ||||
\(937\) | − | 47.6656i | − | 1.55717i | −0.627542 | − | 0.778583i | \(-0.715939\pi\) | ||
0.627542 | − | 0.778583i | \(-0.284061\pi\) | |||||||
\(938\) | −3.72213 | + | 29.8863i | −0.121532 | + | 0.975822i | ||||
\(939\) | 90.1144i | 2.94077i | ||||||||
\(940\) | −14.4161 | − | 2.91062i | −0.470200 | − | 0.0949339i | ||||
\(941\) | 7.62940 | + | 4.40484i | 0.248711 | + | 0.143594i | 0.619174 | − | 0.785254i | \(-0.287468\pi\) |
−0.370463 | + | 0.928847i | \(0.620801\pi\) | |||||||
\(942\) | 30.3595 | − | 1.56331i | 0.989166 | − | 0.0509353i | ||||
\(943\) | −9.25567 | + | 5.34376i | −0.301406 | + | 0.174017i | ||||
\(944\) | −2.07012 | + | 1.85032i | −0.0673768 | + | 0.0602227i | ||||
\(945\) | 21.7193 | + | 11.2376i | 0.706529 | + | 0.365559i | ||||
\(946\) | −22.9718 | + | 14.8883i | −0.746879 | + | 0.484061i | ||||
\(947\) | 7.49920 | + | 12.9890i | 0.243691 | + | 0.422085i | 0.961763 | − | 0.273884i | \(-0.0883084\pi\) |
−0.718072 | + | 0.695969i | \(0.754975\pi\) | |||||||
\(948\) | −0.468762 | − | 0.647677i | −0.0152247 | − | 0.0210356i | ||||
\(949\) | 54.5810 | + | 31.5124i | 1.77178 | + | 1.02294i | ||||
\(950\) | 12.7004 | + | 23.5600i | 0.412054 | + | 0.764388i | ||||
\(951\) | −44.3075 | −1.43677 | ||||||||
\(952\) | 0.482202 | + | 0.877259i | 0.0156283 | + | 0.0284321i | ||||
\(953\) | − | 50.0012i | − | 1.61970i | −0.586639 | − | 0.809849i | \(-0.699549\pi\) | ||
0.586639 | − | 0.809849i | \(-0.300451\pi\) | |||||||
\(954\) | 12.7845 | − | 25.0345i | 0.413913 | − | 0.810521i | ||||
\(955\) | −22.0326 | − | 23.8850i | −0.712959 | − | 0.772900i | ||||
\(956\) | −5.65881 | − | 7.81864i | −0.183019 | − | 0.252873i | ||||
\(957\) | 18.9128 | + | 32.7580i | 0.611365 | + | 1.05891i | ||||
\(958\) | −2.21495 | − | 3.41755i | −0.0715619 | − | 0.110416i | ||||
\(959\) | −14.7577 | − | 40.6502i | −0.476552 | − | 1.31266i | ||||
\(960\) | −0.321946 | − | 49.0165i | −0.0103908 | − | 1.58200i | ||||
\(961\) | 9.54593 | + | 16.5340i | 0.307933 | + | 0.533356i | ||||
\(962\) | 94.7697 | − | 4.87999i | 3.05550 | − | 0.157337i | ||||
\(963\) | 9.10601 | − | 15.7721i | 0.293437 | − | 0.508248i | ||||
\(964\) | 42.9671 | − | 4.43679i | 1.38388 | − | 0.142899i | ||||
\(965\) | −10.7166 | − | 3.33993i | −0.344980 | − | 0.107516i | ||||
\(966\) | −11.2264 | − | 26.5756i | −0.361204 | − | 0.855057i | ||||
\(967\) | − | 51.5791i | − | 1.65867i | −0.558749 | − | 0.829337i | \(-0.688719\pi\) | ||
0.558749 | − | 0.829337i | \(-0.311281\pi\) | |||||||
\(968\) | −11.4393 | − | 14.2056i | −0.367672 | − | 0.456587i | ||||
\(969\) | −0.693735 | + | 1.20158i | −0.0222860 | + | 0.0386004i | ||||
\(970\) | −44.4437 | − | 11.3801i | −1.42700 | − | 0.365392i | ||||
\(971\) | 23.9189 | − | 13.8096i | 0.767595 | − | 0.443171i | −0.0644213 | − | 0.997923i | \(-0.520520\pi\) |
0.832016 | + | 0.554752i | \(0.187187\pi\) | |||||||
\(972\) | −15.0505 | + | 33.6387i | −0.482745 | + | 1.07896i | ||||
\(973\) | 2.11084 | − | 2.51142i | 0.0676705 | − | 0.0805125i | ||||
\(974\) | 14.1811 | − | 9.19093i | 0.454391 | − | 0.294496i | ||||
\(975\) | −6.71869 | + | 83.1387i | −0.215170 | + | 2.66257i | ||||
\(976\) | −5.77980 | − | 27.6882i | −0.185007 | − | 0.886278i | ||||
\(977\) | 15.0445 | + | 8.68594i | 0.481316 | + | 0.277888i | 0.720965 | − | 0.692972i | \(-0.243699\pi\) |
−0.239649 | + | 0.970860i | \(0.577032\pi\) | |||||||
\(978\) | −2.18041 | + | 4.26966i | −0.0697217 | + | 0.136529i | ||||
\(979\) | − | 6.84188i | − | 0.218668i | ||||||
\(980\) | 16.3608 | − | 26.6894i | 0.522626 | − | 0.852562i | ||||
\(981\) | − | 29.4541i | − | 0.940397i | ||||||
\(982\) | 20.9919 | + | 10.7201i | 0.669880 | + | 0.342091i | ||||
\(983\) | 17.1607 | + | 9.90771i | 0.547340 | + | 0.316007i | 0.748048 | − | 0.663644i | \(-0.230991\pi\) |
−0.200708 | + | 0.979651i | \(0.564324\pi\) | |||||||
\(984\) | −10.6246 | + | 27.4532i | −0.338700 | + | 0.875177i | ||||
\(985\) | −46.1990 | + | 10.4028i | −1.47202 | + | 0.331462i | ||||
\(986\) | 0.665739 | + | 1.02720i | 0.0212015 | + | 0.0327127i | ||||
\(987\) | −15.3400 | + | 18.2511i | −0.488277 | + | 0.580938i | ||||
\(988\) | 42.0690 | + | 18.8223i | 1.33839 | + | 0.598819i | ||||
\(989\) | 22.1096 | − | 12.7650i | 0.703044 | − | 0.405903i | ||||
\(990\) | 29.4661 | + | 7.54498i | 0.936494 | + | 0.239795i | ||||
\(991\) | −3.94337 | + | 6.83011i | −0.125265 | + | 0.216966i | −0.921837 | − | 0.387579i | \(-0.873311\pi\) |
0.796571 | + | 0.604544i | \(0.206645\pi\) | |||||||
\(992\) | −18.8785 | + | 4.96630i | −0.599392 | + | 0.157680i | ||||
\(993\) | 73.6266i | 2.33647i | ||||||||
\(994\) | −33.2032 | + | 14.0261i | −1.05314 | + | 0.444881i | ||||
\(995\) | −2.43729 | + | 7.82038i | −0.0772673 | + | 0.247923i | ||||
\(996\) | −12.6605 | + | 1.30733i | −0.401165 | + | 0.0414243i | ||||
\(997\) | −14.6263 | + | 25.3335i | −0.463219 | + | 0.802319i | −0.999119 | − | 0.0419627i | \(-0.986639\pi\) |
0.535900 | + | 0.844281i | \(0.319972\pi\) | |||||||
\(998\) | 3.11591 | + | 60.5112i | 0.0986325 | + | 1.91545i | ||||
\(999\) | −22.7798 | − | 39.4557i | −0.720721 | − | 1.24832i |
(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 | 280.2.bf.a.109.15 | yes | 88 | |
4.3 | odd | 2 | 1120.2.bv.a.529.5 | 88 | |||
5.4 | even | 2 | inner | 280.2.bf.a.109.30 | yes | 88 | |
7.2 | even | 3 | inner | 280.2.bf.a.149.44 | yes | 88 | |
8.3 | odd | 2 | 1120.2.bv.a.529.40 | 88 | |||
8.5 | even | 2 | inner | 280.2.bf.a.109.1 | ✓ | 88 | |
20.19 | odd | 2 | 1120.2.bv.a.529.39 | 88 | |||
28.23 | odd | 6 | 1120.2.bv.a.849.6 | 88 | |||
35.9 | even | 6 | inner | 280.2.bf.a.149.1 | yes | 88 | |
40.19 | odd | 2 | 1120.2.bv.a.529.6 | 88 | |||
40.29 | even | 2 | inner | 280.2.bf.a.109.44 | yes | 88 | |
56.37 | even | 6 | inner | 280.2.bf.a.149.30 | yes | 88 | |
56.51 | odd | 6 | 1120.2.bv.a.849.39 | 88 | |||
140.79 | odd | 6 | 1120.2.bv.a.849.40 | 88 | |||
280.149 | even | 6 | inner | 280.2.bf.a.149.15 | yes | 88 | |
280.219 | odd | 6 | 1120.2.bv.a.849.5 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bf.a.109.1 | ✓ | 88 | 8.5 | even | 2 | inner | |
280.2.bf.a.109.15 | yes | 88 | 1.1 | even | 1 | trivial | |
280.2.bf.a.109.30 | yes | 88 | 5.4 | even | 2 | inner | |
280.2.bf.a.109.44 | yes | 88 | 40.29 | even | 2 | inner | |
280.2.bf.a.149.1 | yes | 88 | 35.9 | even | 6 | inner | |
280.2.bf.a.149.15 | yes | 88 | 280.149 | even | 6 | inner | |
280.2.bf.a.149.30 | yes | 88 | 56.37 | even | 6 | inner | |
280.2.bf.a.149.44 | yes | 88 | 7.2 | even | 3 | inner | |
1120.2.bv.a.529.5 | 88 | 4.3 | odd | 2 | |||
1120.2.bv.a.529.6 | 88 | 40.19 | odd | 2 | |||
1120.2.bv.a.529.39 | 88 | 20.19 | odd | 2 | |||
1120.2.bv.a.529.40 | 88 | 8.3 | odd | 2 | |||
1120.2.bv.a.849.5 | 88 | 280.219 | odd | 6 | |||
1120.2.bv.a.849.6 | 88 | 28.23 | odd | 6 | |||
1120.2.bv.a.849.39 | 88 | 56.51 | odd | 6 | |||
1120.2.bv.a.849.40 | 88 | 140.79 | odd | 6 |