Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 331.1 | ||
Root | \(0.654861 - 0.755750i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.331 |
Dual form | 690.2.m.b.271.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.959493 | − | 0.281733i | 0.678464 | − | 0.199215i | ||||
\(3\) | −0.654861 | − | 0.755750i | −0.378084 | − | 0.436332i | ||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | −0.142315 | − | 0.989821i | −0.0636451 | − | 0.442662i | ||||
\(6\) | −0.841254 | − | 0.540641i | −0.343440 | − | 0.220716i | ||||
\(7\) | 1.24302 | − | 2.72183i | 0.469816 | − | 1.02875i | −0.515323 | − | 0.856996i | \(-0.672328\pi\) |
0.985139 | − | 0.171758i | \(-0.0549447\pi\) | |||||||
\(8\) | 0.654861 | − | 0.755750i | 0.231528 | − | 0.267198i | ||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | −0.415415 | − | 0.909632i | −0.131366 | − | 0.287651i | ||||
\(11\) | 1.52977 | + | 0.449181i | 0.461243 | + | 0.135433i | 0.504095 | − | 0.863648i | \(-0.331826\pi\) |
−0.0428521 | + | 0.999081i | \(0.513644\pi\) | |||||||
\(12\) | −0.959493 | − | 0.281733i | −0.276982 | − | 0.0813292i | ||||
\(13\) | −0.404992 | − | 0.886808i | −0.112324 | − | 0.245956i | 0.845118 | − | 0.534579i | \(-0.179530\pi\) |
−0.957443 | + | 0.288623i | \(0.906803\pi\) | |||||||
\(14\) | 0.425839 | − | 2.96177i | 0.113810 | − | 0.791567i | ||||
\(15\) | −0.654861 | + | 0.755750i | −0.169084 | + | 0.195134i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −0.675969 | − | 0.434419i | −0.163947 | − | 0.105362i | 0.456095 | − | 0.889931i | \(-0.349248\pi\) |
−0.620041 | + | 0.784569i | \(0.712884\pi\) | |||||||
\(18\) | 0.142315 | + | 0.989821i | 0.0335439 | + | 0.233303i | ||||
\(19\) | −1.37491 | + | 0.883600i | −0.315426 | + | 0.202712i | −0.688768 | − | 0.724982i | \(-0.741848\pi\) |
0.373342 | + | 0.927694i | \(0.378212\pi\) | |||||||
\(20\) | −0.654861 | − | 0.755750i | −0.146431 | − | 0.168991i | ||||
\(21\) | −2.87102 | + | 0.843008i | −0.626508 | + | 0.183959i | ||||
\(22\) | 1.59435 | 0.339917 | ||||||||
\(23\) | −4.04911 | − | 2.56996i | −0.844299 | − | 0.535873i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.959493 | + | 0.281733i | −0.191899 | + | 0.0563465i | ||||
\(26\) | −0.638429 | − | 0.736786i | −0.125206 | − | 0.144496i | ||||
\(27\) | 0.841254 | − | 0.540641i | 0.161899 | − | 0.104046i | ||||
\(28\) | −0.425839 | − | 2.96177i | −0.0804759 | − | 0.559722i | ||||
\(29\) | −1.50468 | − | 0.966997i | −0.279411 | − | 0.179567i | 0.393428 | − | 0.919355i | \(-0.371289\pi\) |
−0.672839 | + | 0.739789i | \(0.734925\pi\) | |||||||
\(30\) | −0.415415 | + | 0.909632i | −0.0758441 | + | 0.166075i | ||||
\(31\) | 3.90897 | − | 4.51120i | 0.702073 | − | 0.810235i | −0.286958 | − | 0.957943i | \(-0.592644\pi\) |
0.989031 | + | 0.147708i | \(0.0471896\pi\) | |||||||
\(32\) | 0.142315 | − | 0.989821i | 0.0251579 | − | 0.174977i | ||||
\(33\) | −0.662317 | − | 1.45027i | −0.115295 | − | 0.252460i | ||||
\(34\) | −0.770978 | − | 0.226380i | −0.132222 | − | 0.0388238i | ||||
\(35\) | −2.87102 | − | 0.843008i | −0.485291 | − | 0.142494i | ||||
\(36\) | 0.415415 | + | 0.909632i | 0.0692358 | + | 0.151605i | ||||
\(37\) | 0.999396 | − | 6.95095i | 0.164300 | − | 1.14273i | −0.726113 | − | 0.687575i | \(-0.758675\pi\) |
0.890413 | − | 0.455154i | \(-0.150416\pi\) | |||||||
\(38\) | −1.07028 | + | 1.23516i | −0.173622 | + | 0.200370i | ||||
\(39\) | −0.404992 | + | 0.886808i | −0.0648505 | + | 0.142003i | ||||
\(40\) | −0.841254 | − | 0.540641i | −0.133014 | − | 0.0854828i | ||||
\(41\) | 0.899209 | + | 6.25413i | 0.140433 | + | 0.976731i | 0.931172 | + | 0.364579i | \(0.118787\pi\) |
−0.790740 | + | 0.612153i | \(0.790304\pi\) | |||||||
\(42\) | −2.51722 | + | 1.61772i | −0.388416 | + | 0.249620i | ||||
\(43\) | −1.02231 | − | 1.17981i | −0.155901 | − | 0.179919i | 0.672426 | − | 0.740165i | \(-0.265252\pi\) |
−0.828327 | + | 0.560245i | \(0.810707\pi\) | |||||||
\(44\) | 1.52977 | − | 0.449181i | 0.230621 | − | 0.0677165i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −4.60914 | − | 1.32509i | −0.679580 | − | 0.195374i | ||||
\(47\) | 4.24399 | 0.619050 | 0.309525 | − | 0.950891i | \(-0.399830\pi\) | ||||
0.309525 | + | 0.950891i | \(0.399830\pi\) | |||||||
\(48\) | −0.959493 | + | 0.281733i | −0.138491 | + | 0.0406646i | ||||
\(49\) | −1.27923 | − | 1.47631i | −0.182747 | − | 0.210901i | ||||
\(50\) | −0.841254 | + | 0.540641i | −0.118971 | + | 0.0764582i | ||||
\(51\) | 0.114354 | + | 0.795348i | 0.0160127 | + | 0.111371i | ||||
\(52\) | −0.820145 | − | 0.527075i | −0.113734 | − | 0.0730922i | ||||
\(53\) | −0.819203 | + | 1.79380i | −0.112526 | + | 0.246398i | −0.957514 | − | 0.288388i | \(-0.906881\pi\) |
0.844987 | + | 0.534786i | \(0.179608\pi\) | |||||||
\(54\) | 0.654861 | − | 0.755750i | 0.0891153 | − | 0.102844i | ||||
\(55\) | 0.226900 | − | 1.57812i | 0.0305952 | − | 0.212794i | ||||
\(56\) | −1.24302 | − | 2.72183i | −0.166105 | − | 0.363719i | ||||
\(57\) | 1.56815 | + | 0.460451i | 0.207707 | + | 0.0609883i | ||||
\(58\) | −1.71616 | − | 0.503910i | −0.225343 | − | 0.0661667i | ||||
\(59\) | 2.74441 | + | 6.00941i | 0.357291 | + | 0.782359i | 0.999870 | + | 0.0161390i | \(0.00513744\pi\) |
−0.642578 | + | 0.766220i | \(0.722135\pi\) | |||||||
\(60\) | −0.142315 | + | 0.989821i | −0.0183728 | + | 0.127785i | ||||
\(61\) | −1.52177 | + | 1.75622i | −0.194843 | + | 0.224861i | −0.844761 | − | 0.535143i | \(-0.820258\pi\) |
0.649918 | + | 0.760004i | \(0.274803\pi\) | |||||||
\(62\) | 2.47968 | − | 5.42975i | 0.314920 | − | 0.689579i | ||||
\(63\) | 2.51722 | + | 1.61772i | 0.317140 | + | 0.203814i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | −0.820145 | + | 0.527075i | −0.101726 | + | 0.0653756i | ||||
\(66\) | −1.04408 | − | 1.20493i | −0.128517 | − | 0.148317i | ||||
\(67\) | 10.7115 | − | 3.14518i | 1.30862 | − | 0.384245i | 0.448245 | − | 0.893911i | \(-0.352049\pi\) |
0.860372 | + | 0.509666i | \(0.170231\pi\) | |||||||
\(68\) | −0.803526 | −0.0974419 | ||||||||
\(69\) | 0.709362 | + | 4.74308i | 0.0853972 | + | 0.571000i | ||||
\(70\) | −2.99223 | −0.357640 | ||||||||
\(71\) | 4.80594 | − | 1.41115i | 0.570360 | − | 0.167473i | 0.0161791 | − | 0.999869i | \(-0.494850\pi\) |
0.554181 | + | 0.832396i | \(0.313032\pi\) | |||||||
\(72\) | 0.654861 | + | 0.755750i | 0.0771761 | + | 0.0890659i | ||||
\(73\) | −3.34748 | + | 2.15129i | −0.391792 | + | 0.251790i | −0.721675 | − | 0.692232i | \(-0.756627\pi\) |
0.329882 | + | 0.944022i | \(0.392991\pi\) | |||||||
\(74\) | −0.999396 | − | 6.95095i | −0.116177 | − | 0.808032i | ||||
\(75\) | 0.841254 | + | 0.540641i | 0.0971396 | + | 0.0624278i | ||||
\(76\) | −0.678936 | + | 1.48666i | −0.0778793 | + | 0.170532i | ||||
\(77\) | 3.12412 | − | 3.60543i | 0.356027 | − | 0.410876i | ||||
\(78\) | −0.138744 | + | 0.964985i | −0.0157097 | + | 0.109263i | ||||
\(79\) | 0.632393 | + | 1.38475i | 0.0711498 | + | 0.155796i | 0.941865 | − | 0.335991i | \(-0.109071\pi\) |
−0.870715 | + | 0.491787i | \(0.836344\pi\) | |||||||
\(80\) | −0.959493 | − | 0.281733i | −0.107275 | − | 0.0314987i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 2.62478 | + | 5.74746i | 0.289858 | + | 0.634701i | ||||
\(83\) | −1.99366 | + | 13.8662i | −0.218833 | + | 1.52202i | 0.523524 | + | 0.852011i | \(0.324617\pi\) |
−0.742357 | + | 0.670005i | \(0.766292\pi\) | |||||||
\(84\) | −1.95949 | + | 2.26138i | −0.213798 | + | 0.246736i | ||||
\(85\) | −0.333797 | + | 0.730913i | −0.0362054 | + | 0.0792787i | ||||
\(86\) | −1.31329 | − | 0.844002i | −0.141616 | − | 0.0910111i | ||||
\(87\) | 0.254546 | + | 1.77041i | 0.0272902 | + | 0.189808i | ||||
\(88\) | 1.34125 | − | 0.861971i | 0.142978 | − | 0.0918864i | ||||
\(89\) | 3.91232 | + | 4.51506i | 0.414705 | + | 0.478595i | 0.924217 | − | 0.381869i | \(-0.124719\pi\) |
−0.509511 | + | 0.860464i | \(0.670174\pi\) | |||||||
\(90\) | 0.959493 | − | 0.281733i | 0.101139 | − | 0.0296972i | ||||
\(91\) | −2.91715 | −0.305800 | ||||||||
\(92\) | −4.79575 | + | 0.0271313i | −0.499992 | + | 0.00282863i | ||||
\(93\) | −5.96917 | −0.618974 | ||||||||
\(94\) | 4.07208 | − | 1.19567i | 0.420003 | − | 0.123324i | ||||
\(95\) | 1.07028 | + | 1.23516i | 0.109808 | + | 0.126725i | ||||
\(96\) | −0.841254 | + | 0.540641i | −0.0858601 | + | 0.0551789i | ||||
\(97\) | 0.0304261 | + | 0.211618i | 0.00308930 | + | 0.0214865i | 0.991308 | − | 0.131563i | \(-0.0419996\pi\) |
−0.988218 | + | 0.153050i | \(0.951091\pi\) | |||||||
\(98\) | −1.64333 | − | 1.05610i | −0.166002 | − | 0.106683i | ||||
\(99\) | −0.662317 | + | 1.45027i | −0.0665654 | + | 0.145758i | ||||
\(100\) | −0.654861 | + | 0.755750i | −0.0654861 | + | 0.0755750i | ||||
\(101\) | −1.36495 | + | 9.49344i | −0.135818 | + | 0.944632i | 0.801956 | + | 0.597384i | \(0.203793\pi\) |
−0.937773 | + | 0.347248i | \(0.887116\pi\) | |||||||
\(102\) | 0.333797 | + | 0.730913i | 0.0330508 | + | 0.0723712i | ||||
\(103\) | 17.1438 | + | 5.03387i | 1.68923 | + | 0.496002i | 0.978288 | − | 0.207252i | \(-0.0664518\pi\) |
0.710939 | + | 0.703253i | \(0.248270\pi\) | |||||||
\(104\) | −0.935418 | − | 0.274663i | −0.0917252 | − | 0.0269330i | ||||
\(105\) | 1.24302 | + | 2.72183i | 0.121306 | + | 0.265623i | ||||
\(106\) | −0.280646 | + | 1.95194i | −0.0272588 | + | 0.189589i | ||||
\(107\) | 4.62525 | − | 5.33783i | 0.447140 | − | 0.516027i | −0.486772 | − | 0.873529i | \(-0.661826\pi\) |
0.933913 | + | 0.357502i | \(0.116371\pi\) | |||||||
\(108\) | 0.415415 | − | 0.909632i | 0.0399733 | − | 0.0875294i | ||||
\(109\) | −9.32818 | − | 5.99485i | −0.893477 | − | 0.574203i | 0.0113719 | − | 0.999935i | \(-0.496380\pi\) |
−0.904849 | + | 0.425732i | \(0.860016\pi\) | |||||||
\(110\) | −0.226900 | − | 1.57812i | −0.0216340 | − | 0.150468i | ||||
\(111\) | −5.90764 | + | 3.79661i | −0.560729 | + | 0.360358i | ||||
\(112\) | −1.95949 | − | 2.26138i | −0.185155 | − | 0.213680i | ||||
\(113\) | −6.20687 | + | 1.82250i | −0.583893 | + | 0.171447i | −0.560321 | − | 0.828276i | \(-0.689322\pi\) |
−0.0235724 | + | 0.999722i | \(0.507504\pi\) | |||||||
\(114\) | 1.63436 | 0.153071 | ||||||||
\(115\) | −1.96755 | + | 4.37364i | −0.183475 | + | 0.407844i | ||||
\(116\) | −1.78861 | −0.166069 | ||||||||
\(117\) | 0.935418 | − | 0.274663i | 0.0864794 | − | 0.0253926i | ||||
\(118\) | 4.32629 | + | 4.99280i | 0.398267 | + | 0.459625i | ||||
\(119\) | −2.02265 | + | 1.29988i | −0.185416 | + | 0.119160i | ||||
\(120\) | 0.142315 | + | 0.989821i | 0.0129915 | + | 0.0903579i | ||||
\(121\) | −7.11536 | − | 4.57276i | −0.646851 | − | 0.415706i | ||||
\(122\) | −0.965346 | + | 2.11381i | −0.0873983 | + | 0.191376i | ||||
\(123\) | 4.13770 | − | 4.77516i | 0.373084 | − | 0.430562i | ||||
\(124\) | 0.849501 | − | 5.90841i | 0.0762875 | − | 0.530591i | ||||
\(125\) | 0.415415 | + | 0.909632i | 0.0371558 | + | 0.0813600i | ||||
\(126\) | 2.87102 | + | 0.843008i | 0.255771 | + | 0.0751011i | ||||
\(127\) | 12.4270 | + | 3.64889i | 1.10271 | + | 0.323786i | 0.781930 | − | 0.623366i | \(-0.214235\pi\) |
0.320784 | + | 0.947152i | \(0.396053\pi\) | |||||||
\(128\) | −0.415415 | − | 0.909632i | −0.0367178 | − | 0.0804009i | ||||
\(129\) | −0.222170 | + | 1.54522i | −0.0195609 | + | 0.136049i | ||||
\(130\) | −0.638429 | + | 0.736786i | −0.0559939 | + | 0.0646204i | ||||
\(131\) | −6.67755 | + | 14.6218i | −0.583420 | + | 1.27751i | 0.355918 | + | 0.934517i | \(0.384168\pi\) |
−0.939338 | + | 0.342994i | \(0.888559\pi\) | |||||||
\(132\) | −1.34125 | − | 0.861971i | −0.116741 | − | 0.0750250i | ||||
\(133\) | 0.695972 | + | 4.84059i | 0.0603484 | + | 0.419732i | ||||
\(134\) | 9.39150 | − | 6.03555i | 0.811302 | − | 0.521392i | ||||
\(135\) | −0.654861 | − | 0.755750i | −0.0563614 | − | 0.0650446i | ||||
\(136\) | −0.770978 | + | 0.226380i | −0.0661108 | + | 0.0194119i | ||||
\(137\) | 12.5301 | 1.07052 | 0.535259 | − | 0.844688i | \(-0.320214\pi\) | ||||
0.535259 | + | 0.844688i | \(0.320214\pi\) | |||||||
\(138\) | 2.01691 | + | 4.35110i | 0.171691 | + | 0.370390i | ||||
\(139\) | 6.13485 | 0.520351 | 0.260176 | − | 0.965561i | \(-0.416220\pi\) | ||||
0.260176 | + | 0.965561i | \(0.416220\pi\) | |||||||
\(140\) | −2.87102 | + | 0.843008i | −0.242646 | + | 0.0712472i | ||||
\(141\) | −2.77923 | − | 3.20740i | −0.234053 | − | 0.270112i | ||||
\(142\) | 4.21370 | − | 2.70798i | 0.353606 | − | 0.227248i | ||||
\(143\) | −0.221207 | − | 1.53853i | −0.0184982 | − | 0.128658i | ||||
\(144\) | 0.841254 | + | 0.540641i | 0.0701045 | + | 0.0450534i | ||||
\(145\) | −0.743017 | + | 1.62698i | −0.0617042 | + | 0.135113i | ||||
\(146\) | −2.60579 | + | 3.00724i | −0.215657 | + | 0.248881i | ||||
\(147\) | −0.278002 | + | 1.93355i | −0.0229292 | + | 0.159476i | ||||
\(148\) | −2.91722 | − | 6.38783i | −0.239794 | − | 0.525076i | ||||
\(149\) | 12.3772 | + | 3.63429i | 1.01398 | + | 0.297732i | 0.746182 | − | 0.665742i | \(-0.231885\pi\) |
0.267801 | + | 0.963474i | \(0.413703\pi\) | |||||||
\(150\) | 0.959493 | + | 0.281733i | 0.0783423 | + | 0.0230034i | ||||
\(151\) | 2.40145 | + | 5.25844i | 0.195427 | + | 0.427926i | 0.981823 | − | 0.189797i | \(-0.0607829\pi\) |
−0.786396 | + | 0.617722i | \(0.788056\pi\) | |||||||
\(152\) | −0.232593 | + | 1.61772i | −0.0188658 | + | 0.131214i | ||||
\(153\) | 0.526198 | − | 0.607265i | 0.0425406 | − | 0.0490944i | ||||
\(154\) | 1.98181 | − | 4.33955i | 0.159698 | − | 0.349691i | ||||
\(155\) | −5.02158 | − | 3.22718i | −0.403343 | − | 0.259213i | ||||
\(156\) | 0.138744 | + | 0.964985i | 0.0111084 | + | 0.0772606i | ||||
\(157\) | 5.68077 | − | 3.65081i | 0.453375 | − | 0.291366i | −0.293955 | − | 0.955819i | \(-0.594972\pi\) |
0.747330 | + | 0.664453i | \(0.231335\pi\) | |||||||
\(158\) | 0.996905 | + | 1.15049i | 0.0793095 | + | 0.0915281i | ||||
\(159\) | 1.89213 | − | 0.555580i | 0.150056 | − | 0.0440603i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −12.0281 | + | 7.82649i | −0.947946 | + | 0.616814i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 16.1904 | − | 4.75393i | 1.26813 | − | 0.372357i | 0.422616 | − | 0.906309i | \(-0.361112\pi\) |
0.845515 | + | 0.533952i | \(0.179294\pi\) | |||||||
\(164\) | 4.13770 | + | 4.77516i | 0.323100 | + | 0.372878i | ||||
\(165\) | −1.34125 | + | 0.861971i | −0.104416 | + | 0.0671044i | ||||
\(166\) | 1.99366 | + | 13.8662i | 0.154738 | + | 1.07623i | ||||
\(167\) | 4.35503 | + | 2.79881i | 0.337002 | + | 0.216578i | 0.698186 | − | 0.715916i | \(-0.253991\pi\) |
−0.361184 | + | 0.932495i | \(0.617627\pi\) | |||||||
\(168\) | −1.24302 | + | 2.72183i | −0.0959008 | + | 0.209993i | ||||
\(169\) | 7.89078 | − | 9.10645i | 0.606983 | − | 0.700496i | ||||
\(170\) | −0.114354 | + | 0.795348i | −0.00877053 | + | 0.0610004i | ||||
\(171\) | −0.678936 | − | 1.48666i | −0.0519195 | − | 0.113688i | ||||
\(172\) | −1.49788 | − | 0.439817i | −0.114212 | − | 0.0335357i | ||||
\(173\) | −22.7443 | − | 6.67834i | −1.72922 | − | 0.507745i | −0.742455 | − | 0.669896i | \(-0.766338\pi\) |
−0.986766 | + | 0.162152i | \(0.948157\pi\) | |||||||
\(174\) | 0.743017 | + | 1.62698i | 0.0563279 | + | 0.123341i | ||||
\(175\) | −0.425839 | + | 2.96177i | −0.0321904 | + | 0.223889i | ||||
\(176\) | 1.04408 | − | 1.20493i | 0.0787003 | − | 0.0908250i | ||||
\(177\) | 2.74441 | − | 6.00941i | 0.206282 | − | 0.451695i | ||||
\(178\) | 5.02588 | + | 3.22994i | 0.376706 | + | 0.242094i | ||||
\(179\) | 2.83821 | + | 19.7402i | 0.212138 | + | 1.47545i | 0.765998 | + | 0.642842i | \(0.222245\pi\) |
−0.553861 | + | 0.832609i | \(0.686846\pi\) | |||||||
\(180\) | 0.841254 | − | 0.540641i | 0.0627033 | − | 0.0402970i | ||||
\(181\) | −13.2089 | − | 15.2438i | −0.981807 | − | 1.13307i | −0.991101 | − | 0.133109i | \(-0.957504\pi\) |
0.00929406 | − | 0.999957i | \(-0.497042\pi\) | |||||||
\(182\) | −2.79898 | + | 0.821856i | −0.207474 | + | 0.0609200i | ||||
\(183\) | 2.32381 | 0.171781 | ||||||||
\(184\) | −4.59385 | + | 1.37715i | −0.338663 | + | 0.101525i | ||||
\(185\) | −7.02243 | −0.516299 | ||||||||
\(186\) | −5.72738 | + | 1.68171i | −0.419952 | + | 0.123309i | ||||
\(187\) | −0.838944 | − | 0.968193i | −0.0613497 | − | 0.0708013i | ||||
\(188\) | 3.57028 | − | 2.29448i | 0.260389 | − | 0.167342i | ||||
\(189\) | −0.425839 | − | 2.96177i | −0.0309752 | − | 0.215437i | ||||
\(190\) | 1.37491 | + | 0.883600i | 0.0997463 | + | 0.0641031i | ||||
\(191\) | 0.412044 | − | 0.902250i | 0.0298144 | − | 0.0652845i | −0.894139 | − | 0.447790i | \(-0.852211\pi\) |
0.923953 | + | 0.382505i | \(0.124939\pi\) | |||||||
\(192\) | −0.654861 | + | 0.755750i | −0.0472605 | + | 0.0545415i | ||||
\(193\) | −0.594966 | + | 4.13808i | −0.0428266 | + | 0.297865i | 0.957140 | + | 0.289627i | \(0.0935314\pi\) |
−0.999966 | + | 0.00823798i | \(0.997378\pi\) | |||||||
\(194\) | 0.0888133 | + | 0.194474i | 0.00637642 | + | 0.0139624i | ||||
\(195\) | 0.935418 | + | 0.274663i | 0.0669866 | + | 0.0196691i | ||||
\(196\) | −1.87430 | − | 0.550345i | −0.133879 | − | 0.0393104i | ||||
\(197\) | 2.07307 | + | 4.53939i | 0.147700 | + | 0.323418i | 0.968993 | − | 0.247089i | \(-0.0794740\pi\) |
−0.821293 | + | 0.570507i | \(0.806747\pi\) | |||||||
\(198\) | −0.226900 | + | 1.57812i | −0.0161251 | + | 0.112152i | ||||
\(199\) | 0.481050 | − | 0.555161i | 0.0341007 | − | 0.0393544i | −0.738443 | − | 0.674316i | \(-0.764439\pi\) |
0.772544 | + | 0.634962i | \(0.218984\pi\) | |||||||
\(200\) | −0.415415 | + | 0.909632i | −0.0293743 | + | 0.0643207i | ||||
\(201\) | −9.39150 | − | 6.03555i | −0.662425 | − | 0.425715i | ||||
\(202\) | 1.36495 | + | 9.49344i | 0.0960375 | + | 0.667956i | ||||
\(203\) | −4.50234 | + | 2.89348i | −0.316002 | + | 0.203082i | ||||
\(204\) | 0.526198 | + | 0.607265i | 0.0368412 | + | 0.0425170i | ||||
\(205\) | 6.06250 | − | 1.78011i | 0.423424 | − | 0.124328i | ||||
\(206\) | 17.8675 | 1.24489 | ||||||||
\(207\) | 3.12005 | − | 3.64216i | 0.216858 | − | 0.253147i | ||||
\(208\) | −0.974908 | −0.0675977 | ||||||||
\(209\) | −2.50019 | + | 0.734121i | −0.172942 | + | 0.0507802i | ||||
\(210\) | 1.95949 | + | 2.26138i | 0.135218 | + | 0.156050i | ||||
\(211\) | −8.04246 | + | 5.16857i | −0.553665 | + | 0.355819i | −0.787363 | − | 0.616490i | \(-0.788554\pi\) |
0.233697 | + | 0.972309i | \(0.424918\pi\) | |||||||
\(212\) | 0.280646 | + | 1.95194i | 0.0192749 | + | 0.134060i | ||||
\(213\) | −4.21370 | − | 2.70798i | −0.288718 | − | 0.185548i | ||||
\(214\) | 2.93406 | − | 6.42469i | 0.200568 | − | 0.439183i | ||||
\(215\) | −1.02231 | + | 1.17981i | −0.0697211 | + | 0.0804624i | ||||
\(216\) | 0.142315 | − | 0.989821i | 0.00968330 | − | 0.0673488i | ||||
\(217\) | −7.41978 | − | 16.2470i | −0.503687 | − | 1.10292i | ||||
\(218\) | −10.6393 | − | 3.12397i | −0.720582 | − | 0.211582i | ||||
\(219\) | 3.81797 | + | 1.12106i | 0.257994 | + | 0.0757540i | ||||
\(220\) | −0.662317 | − | 1.45027i | −0.0446534 | − | 0.0977774i | ||||
\(221\) | −0.111484 | + | 0.775391i | −0.00749925 | + | 0.0521584i | ||||
\(222\) | −4.59871 | + | 5.30720i | −0.308645 | + | 0.356196i | ||||
\(223\) | 0.766671 | − | 1.67878i | 0.0513401 | − | 0.112419i | −0.882224 | − | 0.470831i | \(-0.843954\pi\) |
0.933564 | + | 0.358412i | \(0.116682\pi\) | |||||||
\(224\) | −2.51722 | − | 1.61772i | −0.168189 | − | 0.108089i | ||||
\(225\) | −0.142315 | − | 0.989821i | −0.00948766 | − | 0.0659881i | ||||
\(226\) | −5.44199 | + | 3.49736i | −0.361996 | + | 0.232641i | ||||
\(227\) | 0.462908 | + | 0.534225i | 0.0307243 | + | 0.0354577i | 0.770904 | − | 0.636952i | \(-0.219805\pi\) |
−0.740179 | + | 0.672409i | \(0.765259\pi\) | |||||||
\(228\) | 1.56815 | − | 0.460451i | 0.103853 | − | 0.0304941i | ||||
\(229\) | 0.634910 | 0.0419560 | 0.0209780 | − | 0.999780i | \(-0.493322\pi\) | ||||
0.0209780 | + | 0.999780i | \(0.493322\pi\) | |||||||
\(230\) | −0.655652 | + | 4.75080i | −0.0432324 | + | 0.313259i | ||||
\(231\) | −4.77066 | −0.313887 | ||||||||
\(232\) | −1.71616 | + | 0.503910i | −0.112672 | + | 0.0330833i | ||||
\(233\) | −5.18417 | − | 5.98285i | −0.339626 | − | 0.391949i | 0.560085 | − | 0.828435i | \(-0.310768\pi\) |
−0.899711 | + | 0.436486i | \(0.856223\pi\) | |||||||
\(234\) | 0.820145 | − | 0.527075i | 0.0536146 | − | 0.0344560i | ||||
\(235\) | −0.603983 | − | 4.20080i | −0.0393995 | − | 0.274030i | ||||
\(236\) | 5.55768 | + | 3.57170i | 0.361774 | + | 0.232498i | ||||
\(237\) | 0.632393 | − | 1.38475i | 0.0410784 | − | 0.0899490i | ||||
\(238\) | −1.57450 | + | 1.81707i | −0.102060 | + | 0.117783i | ||||
\(239\) | 0.918852 | − | 6.39076i | 0.0594356 | − | 0.413384i | −0.938283 | − | 0.345869i | \(-0.887584\pi\) |
0.997718 | − | 0.0675144i | \(-0.0215069\pi\) | |||||||
\(240\) | 0.415415 | + | 0.909632i | 0.0268149 | + | 0.0587165i | ||||
\(241\) | 13.5447 | + | 3.97707i | 0.872488 | + | 0.256186i | 0.687173 | − | 0.726494i | \(-0.258851\pi\) |
0.185315 | + | 0.982679i | \(0.440670\pi\) | |||||||
\(242\) | −8.11543 | − | 2.38291i | −0.521680 | − | 0.153179i | ||||
\(243\) | 0.415415 | + | 0.909632i | 0.0266489 | + | 0.0583529i | ||||
\(244\) | −0.330713 | + | 2.30016i | −0.0211717 | + | 0.147252i | ||||
\(245\) | −1.27923 | + | 1.47631i | −0.0817267 | + | 0.0943177i | ||||
\(246\) | 2.62478 | − | 5.74746i | 0.167350 | − | 0.366445i | ||||
\(247\) | 1.34041 | + | 0.861429i | 0.0852882 | + | 0.0548114i | ||||
\(248\) | −0.849501 | − | 5.90841i | −0.0539434 | − | 0.375185i | ||||
\(249\) | 11.7850 | − | 7.57374i | 0.746842 | − | 0.479966i | ||||
\(250\) | 0.654861 | + | 0.755750i | 0.0414170 | + | 0.0477978i | ||||
\(251\) | −2.28317 | + | 0.670400i | −0.144113 | + | 0.0423153i | −0.352993 | − | 0.935626i | \(-0.614836\pi\) |
0.208881 | + | 0.977941i | \(0.433018\pi\) | |||||||
\(252\) | 2.99223 | 0.188493 | ||||||||
\(253\) | −5.03983 | − | 5.75022i | −0.316852 | − | 0.361513i | ||||
\(254\) | 12.9516 | 0.812655 | ||||||||
\(255\) | 0.770978 | − | 0.226380i | 0.0482805 | − | 0.0141764i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 6.10744 | − | 3.92501i | 0.380972 | − | 0.244836i | −0.336113 | − | 0.941822i | \(-0.609112\pi\) |
0.717085 | + | 0.696986i | \(0.245476\pi\) | |||||||
\(258\) | 0.222170 | + | 1.54522i | 0.0138317 | + | 0.0962014i | ||||
\(259\) | −17.6770 | − | 11.3603i | −1.09840 | − | 0.705897i | ||||
\(260\) | −0.404992 | + | 0.886808i | −0.0251165 | + | 0.0549975i | ||||
\(261\) | 1.17129 | − | 1.35174i | 0.0725012 | − | 0.0836708i | ||||
\(262\) | −2.28763 | + | 15.9108i | −0.141330 | + | 0.982972i | ||||
\(263\) | −12.1342 | − | 26.5701i | −0.748225 | − | 1.63838i | −0.769529 | − | 0.638611i | \(-0.779509\pi\) |
0.0213044 | − | 0.999773i | \(-0.493218\pi\) | |||||||
\(264\) | −1.52977 | − | 0.449181i | −0.0941508 | − | 0.0276452i | ||||
\(265\) | 1.89213 | + | 0.555580i | 0.116233 | + | 0.0341290i | ||||
\(266\) | 2.03153 | + | 4.44843i | 0.124561 | + | 0.272751i | ||||
\(267\) | 0.850228 | − | 5.91347i | 0.0520331 | − | 0.361898i | ||||
\(268\) | 7.31067 | − | 8.43696i | 0.446570 | − | 0.515369i | ||||
\(269\) | −11.3388 | + | 24.8285i | −0.691338 | + | 1.51382i | 0.158830 | + | 0.987306i | \(0.449228\pi\) |
−0.850168 | + | 0.526512i | \(0.823499\pi\) | |||||||
\(270\) | −0.841254 | − | 0.540641i | −0.0511971 | − | 0.0329024i | ||||
\(271\) | −0.153611 | − | 1.06838i | −0.00933118 | − | 0.0648998i | 0.984624 | − | 0.174688i | \(-0.0558917\pi\) |
−0.993955 | + | 0.109788i | \(0.964983\pi\) | |||||||
\(272\) | −0.675969 | + | 0.434419i | −0.0409867 | + | 0.0263405i | ||||
\(273\) | 1.91033 | + | 2.20463i | 0.115618 | + | 0.133430i | ||||
\(274\) | 12.0225 | − | 3.53014i | 0.726308 | − | 0.213263i | ||||
\(275\) | −1.59435 | −0.0961430 | ||||||||
\(276\) | 3.16106 | + | 3.60662i | 0.190273 | + | 0.217093i | ||||
\(277\) | −18.3184 | −1.10065 | −0.550323 | − | 0.834952i | \(-0.685496\pi\) | ||||
−0.550323 | + | 0.834952i | \(0.685496\pi\) | |||||||
\(278\) | 5.88635 | − | 1.72839i | 0.353040 | − | 0.103662i | ||||
\(279\) | 3.90897 | + | 4.51120i | 0.234024 | + | 0.270078i | ||||
\(280\) | −2.51722 | + | 1.61772i | −0.150433 | + | 0.0966773i | ||||
\(281\) | −0.787000 | − | 5.47371i | −0.0469485 | − | 0.326534i | −0.999738 | − | 0.0229015i | \(-0.992710\pi\) |
0.952789 | − | 0.303633i | \(-0.0981995\pi\) | |||||||
\(282\) | −3.57028 | − | 2.29448i | −0.212607 | − | 0.136634i | ||||
\(283\) | 2.15676 | − | 4.72265i | 0.128206 | − | 0.280733i | −0.834634 | − | 0.550806i | \(-0.814321\pi\) |
0.962840 | + | 0.270073i | \(0.0870478\pi\) | |||||||
\(284\) | 3.28009 | − | 3.78542i | 0.194637 | − | 0.224623i | ||||
\(285\) | 0.232593 | − | 1.61772i | 0.0137776 | − | 0.0958255i | ||||
\(286\) | −0.645699 | − | 1.41388i | −0.0381810 | − | 0.0836046i | ||||
\(287\) | 18.1404 | + | 5.32650i | 1.07079 | + | 0.314413i | ||||
\(288\) | 0.959493 | + | 0.281733i | 0.0565387 | + | 0.0166013i | ||||
\(289\) | −6.79384 | − | 14.8764i | −0.399638 | − | 0.875084i | ||||
\(290\) | −0.254546 | + | 1.77041i | −0.0149475 | + | 0.103962i | ||||
\(291\) | 0.140005 | − | 0.161575i | 0.00820726 | − | 0.00947168i | ||||
\(292\) | −1.65300 | + | 3.61956i | −0.0967345 | + | 0.211819i | ||||
\(293\) | −11.0859 | − | 7.12446i | −0.647644 | − | 0.416215i | 0.175161 | − | 0.984540i | \(-0.443955\pi\) |
−0.822804 | + | 0.568325i | \(0.807592\pi\) | |||||||
\(294\) | 0.278002 | + | 1.93355i | 0.0162134 | + | 0.112767i | ||||
\(295\) | 5.55768 | − | 3.57170i | 0.323580 | − | 0.207953i | ||||
\(296\) | −4.59871 | − | 5.30720i | −0.267295 | − | 0.308475i | ||||
\(297\) | 1.52977 | − | 0.449181i | 0.0887662 | − | 0.0260641i | ||||
\(298\) | 12.8998 | 0.747264 | ||||||||
\(299\) | −0.639200 | + | 4.63160i | −0.0369659 | + | 0.267852i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −4.48199 | + | 1.31603i | −0.258338 | + | 0.0758548i | ||||
\(302\) | 3.78565 | + | 4.36887i | 0.217839 | + | 0.251400i | ||||
\(303\) | 8.06851 | − | 5.18532i | 0.463524 | − | 0.297889i | ||||
\(304\) | 0.232593 | + | 1.61772i | 0.0133401 | + | 0.0927827i | ||||
\(305\) | 1.95491 | + | 1.25635i | 0.111938 | + | 0.0719382i | ||||
\(306\) | 0.333797 | − | 0.730913i | 0.0190819 | − | 0.0417835i | ||||
\(307\) | −4.81572 | + | 5.55763i | −0.274848 | + | 0.317191i | −0.876345 | − | 0.481684i | \(-0.840025\pi\) |
0.601498 | + | 0.798875i | \(0.294571\pi\) | |||||||
\(308\) | 0.678936 | − | 4.72210i | 0.0386860 | − | 0.269067i | ||||
\(309\) | −7.42245 | − | 16.2529i | −0.422248 | − | 0.924595i | ||||
\(310\) | −5.72738 | − | 1.68171i | −0.325293 | − | 0.0955147i | ||||
\(311\) | −22.9076 | − | 6.72628i | −1.29897 | − | 0.381412i | −0.442111 | − | 0.896961i | \(-0.645770\pi\) |
−0.856861 | + | 0.515548i | \(0.827588\pi\) | |||||||
\(312\) | 0.404992 | + | 0.886808i | 0.0229281 | + | 0.0502056i | ||||
\(313\) | −3.13670 | + | 21.8163i | −0.177297 | + | 1.23313i | 0.685687 | + | 0.727897i | \(0.259502\pi\) |
−0.862984 | + | 0.505231i | \(0.831407\pi\) | |||||||
\(314\) | 4.42211 | − | 5.10338i | 0.249554 | − | 0.288001i | ||||
\(315\) | 1.24302 | − | 2.72183i | 0.0700361 | − | 0.153358i | ||||
\(316\) | 1.28065 | + | 0.823027i | 0.0720424 | + | 0.0462989i | ||||
\(317\) | 1.04694 | + | 7.28165i | 0.0588022 | + | 0.408978i | 0.997869 | + | 0.0652443i | \(0.0207827\pi\) |
−0.939067 | + | 0.343734i | \(0.888308\pi\) | |||||||
\(318\) | 1.65896 | − | 1.06615i | 0.0930299 | − | 0.0597867i | ||||
\(319\) | −1.86745 | − | 2.15515i | −0.104557 | − | 0.120665i | ||||
\(320\) | −0.959493 | + | 0.281733i | −0.0536373 | + | 0.0157493i | ||||
\(321\) | −7.06296 | −0.394216 | ||||||||
\(322\) | −9.33589 | + | 10.8982i | −0.520269 | + | 0.607331i | ||||
\(323\) | 1.31325 | 0.0730711 | ||||||||
\(324\) | −0.959493 | + | 0.281733i | −0.0533052 | + | 0.0156518i | ||||
\(325\) | 0.638429 | + | 0.736786i | 0.0354137 | + | 0.0408696i | ||||
\(326\) | 14.1953 | − | 9.12273i | 0.786202 | − | 0.505261i | ||||
\(327\) | 1.57805 | + | 10.9756i | 0.0872662 | + | 0.606950i | ||||
\(328\) | 5.31541 | + | 3.41601i | 0.293495 | + | 0.188618i | ||||
\(329\) | 5.27536 | − | 11.5514i | 0.290840 | − | 0.636850i | ||||
\(330\) | −1.04408 | + | 1.20493i | −0.0574746 | + | 0.0663292i | ||||
\(331\) | −0.708989 | + | 4.93113i | −0.0389696 | + | 0.271039i | −0.999985 | − | 0.00545498i | \(-0.998264\pi\) |
0.961016 | + | 0.276494i | \(0.0891727\pi\) | |||||||
\(332\) | 5.81947 | + | 12.7429i | 0.319385 | + | 0.699356i | ||||
\(333\) | 6.73797 | + | 1.97845i | 0.369239 | + | 0.108418i | ||||
\(334\) | 4.96714 | + | 1.45848i | 0.271790 | + | 0.0798046i | ||||
\(335\) | −4.63757 | − | 10.1549i | −0.253377 | − | 0.554819i | ||||
\(336\) | −0.425839 | + | 2.96177i | −0.0232314 | + | 0.161578i | ||||
\(337\) | 15.1970 | − | 17.5383i | 0.827833 | − | 0.955370i | −0.171724 | − | 0.985145i | \(-0.554934\pi\) |
0.999557 | + | 0.0297754i | \(0.00947920\pi\) | |||||||
\(338\) | 5.00557 | − | 10.9607i | 0.272267 | − | 0.596181i | ||||
\(339\) | 5.44199 | + | 3.49736i | 0.295568 | + | 0.189950i | ||||
\(340\) | 0.114354 | + | 0.795348i | 0.00620170 | + | 0.0431338i | ||||
\(341\) | 8.00617 | − | 5.14525i | 0.433558 | − | 0.278631i | ||||
\(342\) | −1.07028 | − | 1.23516i | −0.0578739 | − | 0.0667900i | ||||
\(343\) | 14.4888 | − | 4.25430i | 0.782322 | − | 0.229711i | ||||
\(344\) | −1.56111 | −0.0841696 | ||||||||
\(345\) | 4.59385 | − | 1.37715i | 0.247325 | − | 0.0741434i | ||||
\(346\) | −23.7045 | −1.27436 | ||||||||
\(347\) | −8.41884 | + | 2.47199i | −0.451947 | + | 0.132704i | −0.499781 | − | 0.866152i | \(-0.666586\pi\) |
0.0478343 | + | 0.998855i | \(0.484768\pi\) | |||||||
\(348\) | 1.17129 | + | 1.35174i | 0.0627879 | + | 0.0724611i | ||||
\(349\) | −15.8606 | + | 10.1930i | −0.848998 | + | 0.545618i | −0.891262 | − | 0.453489i | \(-0.850179\pi\) |
0.0422642 | + | 0.999106i | \(0.486543\pi\) | |||||||
\(350\) | 0.425839 | + | 2.96177i | 0.0227620 | + | 0.158313i | ||||
\(351\) | −0.820145 | − | 0.527075i | −0.0437761 | − | 0.0281332i | ||||
\(352\) | 0.662317 | − | 1.45027i | 0.0353016 | − | 0.0772998i | ||||
\(353\) | −6.68945 | + | 7.72003i | −0.356043 | + | 0.410896i | −0.905310 | − | 0.424751i | \(-0.860362\pi\) |
0.549267 | + | 0.835647i | \(0.314907\pi\) | |||||||
\(354\) | 0.940192 | − | 6.53918i | 0.0499706 | − | 0.347553i | ||||
\(355\) | −2.08074 | − | 4.55619i | −0.110434 | − | 0.241818i | ||||
\(356\) | 5.73228 | + | 1.68315i | 0.303810 | + | 0.0892067i | ||||
\(357\) | 2.30694 | + | 0.677379i | 0.122096 | + | 0.0358507i | ||||
\(358\) | 8.28470 | + | 18.1410i | 0.437860 | + | 0.958780i | ||||
\(359\) | 1.25988 | − | 8.76264i | 0.0664938 | − | 0.462474i | −0.929185 | − | 0.369614i | \(-0.879490\pi\) |
0.995679 | − | 0.0928604i | \(-0.0296010\pi\) | |||||||
\(360\) | 0.654861 | − | 0.755750i | 0.0345142 | − | 0.0398315i | ||||
\(361\) | −6.78326 | + | 14.8533i | −0.357014 | + | 0.781751i | ||||
\(362\) | −16.9685 | − | 10.9050i | −0.891845 | − | 0.573154i | ||||
\(363\) | 1.20371 | + | 8.37195i | 0.0631781 | + | 0.439414i | ||||
\(364\) | −2.45406 | + | 1.57713i | −0.128628 | + | 0.0826640i | ||||
\(365\) | 2.60579 | + | 3.00724i | 0.136393 | + | 0.157406i | ||||
\(366\) | 2.22968 | − | 0.654693i | 0.116547 | − | 0.0342214i | ||||
\(367\) | 10.3255 | 0.538986 | 0.269493 | − | 0.963002i | \(-0.413144\pi\) | ||||
0.269493 | + | 0.963002i | \(0.413144\pi\) | |||||||
\(368\) | −4.01978 | + | 2.61561i | −0.209545 | + | 0.136348i | ||||
\(369\) | −6.31845 | −0.328925 | ||||||||
\(370\) | −6.73797 | + | 1.97845i | −0.350290 | + | 0.102855i | ||||
\(371\) | 3.86414 | + | 4.45946i | 0.200616 | + | 0.231523i | ||||
\(372\) | −5.02158 | + | 3.22718i | −0.260357 | + | 0.167321i | ||||
\(373\) | 5.09538 | + | 35.4392i | 0.263829 | + | 1.83497i | 0.503354 | + | 0.864081i | \(0.332099\pi\) |
−0.239525 | + | 0.970890i | \(0.576992\pi\) | |||||||
\(374\) | −1.07773 | − | 0.692617i | −0.0557282 | − | 0.0358144i | ||||
\(375\) | 0.415415 | − | 0.909632i | 0.0214519 | − | 0.0469732i | ||||
\(376\) | 2.77923 | − | 3.20740i | 0.143328 | − | 0.165409i | ||||
\(377\) | −0.248159 | + | 1.72598i | −0.0127808 | + | 0.0888927i | ||||
\(378\) | −1.24302 | − | 2.72183i | −0.0639339 | − | 0.139996i | ||||
\(379\) | −16.1303 | − | 4.73627i | −0.828556 | − | 0.243286i | −0.160160 | − | 0.987091i | \(-0.551201\pi\) |
−0.668397 | + | 0.743805i | \(0.733019\pi\) | |||||||
\(380\) | 1.56815 | + | 0.460451i | 0.0804446 | + | 0.0236207i | ||||
\(381\) | −5.38029 | − | 11.7812i | −0.275640 | − | 0.603568i | ||||
\(382\) | 0.141160 | − | 0.981789i | 0.00722237 | − | 0.0502327i | ||||
\(383\) | 16.2021 | − | 18.6982i | 0.827887 | − | 0.955432i | −0.171671 | − | 0.985154i | \(-0.554917\pi\) |
0.999558 | + | 0.0297220i | \(0.00946219\pi\) | |||||||
\(384\) | −0.415415 | + | 0.909632i | −0.0211991 | + | 0.0464195i | ||||
\(385\) | −4.01334 | − | 2.57922i | −0.204539 | − | 0.131449i | ||||
\(386\) | 0.594966 | + | 4.13808i | 0.0302830 | + | 0.210623i | ||||
\(387\) | 1.31329 | − | 0.844002i | 0.0667584 | − | 0.0429030i | ||||
\(388\) | 0.140005 | + | 0.161575i | 0.00710769 | + | 0.00820272i | ||||
\(389\) | −22.6578 | + | 6.65294i | −1.14880 | + | 0.337318i | −0.800070 | − | 0.599906i | \(-0.795204\pi\) |
−0.348728 | + | 0.937224i | \(0.613386\pi\) | |||||||
\(390\) | 0.974908 | 0.0493664 | ||||||||
\(391\) | 1.62064 | + | 3.49622i | 0.0819592 | + | 0.176812i | ||||
\(392\) | −1.95343 | −0.0986632 | ||||||||
\(393\) | 15.4233 | − | 4.52868i | 0.778001 | − | 0.228442i | ||||
\(394\) | 3.26799 | + | 3.77146i | 0.164639 | + | 0.190003i | ||||
\(395\) | 1.28065 | − | 0.823027i | 0.0644367 | − | 0.0414110i | ||||
\(396\) | 0.226900 | + | 1.57812i | 0.0114021 | + | 0.0793037i | ||||
\(397\) | −22.0616 | − | 14.1781i | −1.10724 | − | 0.711580i | −0.146550 | − | 0.989203i | \(-0.546817\pi\) |
−0.960690 | + | 0.277623i | \(0.910453\pi\) | |||||||
\(398\) | 0.305157 | − | 0.668201i | 0.0152961 | − | 0.0334939i | ||||
\(399\) | 3.20251 | − | 3.69589i | 0.160326 | − | 0.185026i | ||||
\(400\) | −0.142315 | + | 0.989821i | −0.00711574 | + | 0.0494911i | ||||
\(401\) | −4.59087 | − | 10.0526i | −0.229257 | − | 0.502003i | 0.759687 | − | 0.650288i | \(-0.225352\pi\) |
−0.988945 | + | 0.148285i | \(0.952625\pi\) | |||||||
\(402\) | −10.7115 | − | 3.14518i | −0.534241 | − | 0.156867i | ||||
\(403\) | −5.58367 | − | 1.63951i | −0.278142 | − | 0.0816699i | ||||
\(404\) | 3.98427 | + | 8.72433i | 0.198225 | + | 0.434052i | ||||
\(405\) | −0.142315 | + | 0.989821i | −0.00707168 | + | 0.0491846i | ||||
\(406\) | −3.50477 | + | 4.04473i | −0.173939 | + | 0.200736i | ||||
\(407\) | 4.65108 | − | 10.1844i | 0.230545 | − | 0.504824i | ||||
\(408\) | 0.675969 | + | 0.434419i | 0.0334655 | + | 0.0215069i | ||||
\(409\) | 1.95444 | + | 13.5934i | 0.0966409 | + | 0.672152i | 0.979341 | + | 0.202216i | \(0.0648142\pi\) |
−0.882700 | + | 0.469937i | \(0.844277\pi\) | |||||||
\(410\) | 5.31541 | − | 3.41601i | 0.262510 | − | 0.168705i | ||||
\(411\) | −8.20547 | − | 9.46962i | −0.404746 | − | 0.467102i | ||||
\(412\) | 17.1438 | − | 5.03387i | 0.844614 | − | 0.248001i | ||||
\(413\) | 19.7679 | 0.972716 | ||||||||
\(414\) | 1.96755 | − | 4.37364i | 0.0966998 | − | 0.214953i | ||||
\(415\) | 14.0088 | 0.687666 | ||||||||
\(416\) | −0.935418 | + | 0.274663i | −0.0458626 | + | 0.0134665i | ||||
\(417\) | −4.01747 | − | 4.63641i | −0.196737 | − | 0.227046i | ||||
\(418\) | −2.19209 | + | 1.40877i | −0.107218 | + | 0.0689051i | ||||
\(419\) | −1.70342 | − | 11.8476i | −0.0832177 | − | 0.578792i | −0.988180 | − | 0.153300i | \(-0.951010\pi\) |
0.904962 | − | 0.425492i | \(-0.139899\pi\) | |||||||
\(420\) | 2.51722 | + | 1.61772i | 0.122828 | + | 0.0789367i | ||||
\(421\) | 7.84603 | − | 17.1804i | 0.382392 | − | 0.837322i | −0.616364 | − | 0.787461i | \(-0.711395\pi\) |
0.998756 | − | 0.0498609i | \(-0.0158778\pi\) | |||||||
\(422\) | −6.26052 | + | 7.22503i | −0.304758 | + | 0.351709i | ||||
\(423\) | −0.603983 | + | 4.20080i | −0.0293667 | + | 0.204250i | ||||
\(424\) | 0.819203 | + | 1.79380i | 0.0397840 | + | 0.0871148i | ||||
\(425\) | 0.770978 | + | 0.226380i | 0.0373979 | + | 0.0109810i | ||||
\(426\) | −4.80594 | − | 1.41115i | −0.232848 | − | 0.0683705i | ||||
\(427\) | 2.88853 | + | 6.32501i | 0.139786 | + | 0.306089i | ||||
\(428\) | 1.00516 | − | 6.99107i | 0.0485864 | − | 0.337926i | ||||
\(429\) | −1.01788 | + | 1.17470i | −0.0491437 | + | 0.0567149i | ||||
\(430\) | −0.648510 | + | 1.42004i | −0.0312739 | + | 0.0684804i | ||||
\(431\) | 21.3786 | + | 13.7392i | 1.02977 | + | 0.661793i | 0.942436 | − | 0.334386i | \(-0.108529\pi\) |
0.0873340 | + | 0.996179i | \(0.472165\pi\) | |||||||
\(432\) | −0.142315 | − | 0.989821i | −0.00684713 | − | 0.0476228i | ||||
\(433\) | 8.88803 | − | 5.71199i | 0.427131 | − | 0.274501i | −0.309363 | − | 0.950944i | \(-0.600116\pi\) |
0.736495 | + | 0.676443i | \(0.236480\pi\) | |||||||
\(434\) | −11.6965 | − | 13.4985i | −0.561452 | − | 0.647950i | ||||
\(435\) | 1.71616 | − | 0.503910i | 0.0822836 | − | 0.0241607i | ||||
\(436\) | −11.0884 | −0.531039 | ||||||||
\(437\) | 7.83797 | − | 0.0443422i | 0.374941 | − | 0.00212118i | ||||
\(438\) | 3.97915 | 0.190131 | ||||||||
\(439\) | −29.0861 | + | 8.54044i | −1.38820 | + | 0.407613i | −0.888616 | − | 0.458651i | \(-0.848333\pi\) |
−0.499586 | + | 0.866264i | \(0.666515\pi\) | |||||||
\(440\) | −1.04408 | − | 1.20493i | −0.0497745 | − | 0.0574428i | ||||
\(441\) | 1.64333 | − | 1.05610i | 0.0782539 | − | 0.0502907i | ||||
\(442\) | 0.111484 | + | 0.775391i | 0.00530277 | + | 0.0368816i | ||||
\(443\) | −26.0760 | − | 16.7580i | −1.23891 | − | 0.796198i | −0.253654 | − | 0.967295i | \(-0.581632\pi\) |
−0.985254 | + | 0.171097i | \(0.945269\pi\) | |||||||
\(444\) | −2.91722 | + | 6.38783i | −0.138445 | + | 0.303153i | ||||
\(445\) | 3.91232 | − | 4.51506i | 0.185462 | − | 0.214034i | ||||
\(446\) | 0.262650 | − | 1.82677i | 0.0124368 | − | 0.0865001i | ||||
\(447\) | −5.35876 | − | 11.7340i | −0.253461 | − | 0.555002i | ||||
\(448\) | −2.87102 | − | 0.843008i | −0.135643 | − | 0.0398284i | ||||
\(449\) | −6.11055 | − | 1.79422i | −0.288375 | − | 0.0846745i | 0.134346 | − | 0.990935i | \(-0.457107\pi\) |
−0.422721 | + | 0.906260i | \(0.638925\pi\) | |||||||
\(450\) | −0.415415 | − | 0.909632i | −0.0195829 | − | 0.0428805i | ||||
\(451\) | −1.43365 | + | 9.97128i | −0.0675081 | + | 0.469529i | ||||
\(452\) | −4.23623 | + | 4.88887i | −0.199256 | + | 0.229953i | ||||
\(453\) | 2.40145 | − | 5.25844i | 0.112830 | − | 0.247063i | ||||
\(454\) | 0.594666 | + | 0.382169i | 0.0279091 | + | 0.0179361i | ||||
\(455\) | 0.415153 | + | 2.88746i | 0.0194627 | + | 0.135366i | ||||
\(456\) | 1.37491 | − | 0.883600i | 0.0643860 | − | 0.0413783i | ||||
\(457\) | −23.8425 | − | 27.5157i | −1.11531 | − | 1.28713i | −0.953860 | − | 0.300250i | \(-0.902930\pi\) |
−0.161446 | − | 0.986882i | \(-0.551616\pi\) | |||||||
\(458\) | 0.609191 | − | 0.178875i | 0.0284656 | − | 0.00835827i | ||||
\(459\) | −0.803526 | −0.0375054 | ||||||||
\(460\) | 0.709362 | + | 4.74308i | 0.0330742 | + | 0.221147i | ||||
\(461\) | 6.45146 | 0.300474 | 0.150237 | − | 0.988650i | \(-0.451996\pi\) | ||||
0.150237 | + | 0.988650i | \(0.451996\pi\) | |||||||
\(462\) | −4.57742 | + | 1.34405i | −0.212961 | + | 0.0625309i | ||||
\(463\) | 11.3031 | + | 13.0445i | 0.525300 | + | 0.606229i | 0.954950 | − | 0.296767i | \(-0.0959084\pi\) |
−0.429650 | + | 0.902996i | \(0.641363\pi\) | |||||||
\(464\) | −1.50468 | + | 0.966997i | −0.0698529 | + | 0.0448917i | ||||
\(465\) | 0.849501 | + | 5.90841i | 0.0393947 | + | 0.273996i | ||||
\(466\) | −6.65974 | − | 4.27995i | −0.308506 | − | 0.198265i | ||||
\(467\) | 12.0366 | − | 26.3565i | 0.556989 | − | 1.21964i | −0.396452 | − | 0.918055i | \(-0.629759\pi\) |
0.953441 | − | 0.301580i | \(-0.0975141\pi\) | |||||||
\(468\) | 0.638429 | − | 0.736786i | 0.0295114 | − | 0.0340580i | ||||
\(469\) | 4.75393 | − | 33.0643i | 0.219516 | − | 1.52677i | ||||
\(470\) | −1.76302 | − | 3.86047i | −0.0813220 | − | 0.178070i | ||||
\(471\) | −6.47921 | − | 1.90247i | −0.298546 | − | 0.0876611i | ||||
\(472\) | 6.33882 | + | 1.86124i | 0.291768 | + | 0.0856707i | ||||
\(473\) | −1.03395 | − | 2.26404i | −0.0475412 | − | 0.104101i | ||||
\(474\) | 0.216648 | − | 1.50682i | 0.00995098 | − | 0.0692106i | ||||
\(475\) | 1.07028 | − | 1.23516i | 0.0491076 | − | 0.0566732i | ||||
\(476\) | −0.998797 | + | 2.18706i | −0.0457798 | + | 0.100244i | ||||
\(477\) | −1.65896 | − | 1.06615i | −0.0759586 | − | 0.0488156i | ||||
\(478\) | −0.918852 | − | 6.39076i | −0.0420273 | − | 0.292306i | ||||
\(479\) | 27.0720 | − | 17.3981i | 1.23695 | − | 0.794940i | 0.251992 | − | 0.967729i | \(-0.418914\pi\) |
0.984959 | + | 0.172789i | \(0.0552778\pi\) | |||||||
\(480\) | 0.654861 | + | 0.755750i | 0.0298902 | + | 0.0344951i | ||||
\(481\) | −6.56890 | + | 1.92880i | −0.299516 | + | 0.0879459i | ||||
\(482\) | 14.1165 | 0.642987 | ||||||||
\(483\) | 13.7916 | + | 3.96497i | 0.627539 | + | 0.180412i | ||||
\(484\) | −8.45804 | −0.384457 | ||||||||
\(485\) | 0.205134 | − | 0.0602328i | 0.00931465 | − | 0.00273503i | ||||
\(486\) | 0.654861 | + | 0.755750i | 0.0297051 | + | 0.0342815i | ||||
\(487\) | −22.2751 | + | 14.3153i | −1.00938 | + | 0.648689i | −0.937232 | − | 0.348705i | \(-0.886621\pi\) |
−0.0721471 | + | 0.997394i | \(0.522985\pi\) | |||||||
\(488\) | 0.330713 | + | 2.30016i | 0.0149707 | + | 0.104123i | ||||
\(489\) | −14.1953 | − | 9.12273i | −0.641931 | − | 0.412544i | ||||
\(490\) | −0.811485 | + | 1.77690i | −0.0366591 | + | 0.0802723i | ||||
\(491\) | 19.1837 | − | 22.1391i | 0.865746 | − | 0.999125i | −0.134220 | − | 0.990952i | \(-0.542853\pi\) |
0.999967 | − | 0.00817303i | \(-0.00260159\pi\) | |||||||
\(492\) | 0.899209 | − | 6.25413i | 0.0405395 | − | 0.281958i | ||||
\(493\) | 0.597033 | + | 1.30732i | 0.0268890 | + | 0.0588788i | ||||
\(494\) | 1.52881 | + | 0.448898i | 0.0687842 | + | 0.0201969i | ||||
\(495\) | 1.52977 | + | 0.449181i | 0.0687580 | + | 0.0201892i | ||||
\(496\) | −2.47968 | − | 5.42975i | −0.111341 | − | 0.243803i | ||||
\(497\) | 2.13295 | − | 14.8350i | 0.0956760 | − | 0.665441i | ||||
\(498\) | 9.17382 | − | 10.5872i | 0.411089 | − | 0.474422i | ||||
\(499\) | −14.3457 | + | 31.4127i | −0.642202 | + | 1.40623i | 0.256015 | + | 0.966673i | \(0.417590\pi\) |
−0.898217 | + | 0.439553i | \(0.855137\pi\) | |||||||
\(500\) | 0.841254 | + | 0.540641i | 0.0376220 | + | 0.0241782i | ||||
\(501\) | −0.736740 | − | 5.12414i | −0.0329151 | − | 0.228930i | ||||
\(502\) | −2.00181 | + | 1.28649i | −0.0893453 | + | 0.0574188i | ||||
\(503\) | 0.0815619 | + | 0.0941275i | 0.00363667 | + | 0.00419694i | 0.757565 | − | 0.652760i | \(-0.226389\pi\) |
−0.753928 | + | 0.656957i | \(0.771843\pi\) | |||||||
\(504\) | 2.87102 | − | 0.843008i | 0.127885 | − | 0.0375506i | ||||
\(505\) | 9.59106 | 0.426797 | ||||||||
\(506\) | −6.45571 | − | 4.09741i | −0.286991 | − | 0.182152i | ||||
\(507\) | −12.0496 | −0.535139 | ||||||||
\(508\) | 12.4270 | − | 3.64889i | 0.551357 | − | 0.161893i | ||||
\(509\) | 0.478832 | + | 0.552602i | 0.0212239 | + | 0.0244936i | 0.766262 | − | 0.642528i | \(-0.222114\pi\) |
−0.745038 | + | 0.667022i | \(0.767569\pi\) | |||||||
\(510\) | 0.675969 | − | 0.434419i | 0.0299324 | − | 0.0192364i | ||||
\(511\) | 1.69448 | + | 11.7853i | 0.0749592 | + | 0.521353i | ||||
\(512\) | −0.841254 | − | 0.540641i | −0.0371785 | − | 0.0238932i | ||||
\(513\) | −0.678936 | + | 1.48666i | −0.0299758 | + | 0.0656378i | ||||
\(514\) | 4.75424 | − | 5.48669i | 0.209701 | − | 0.242007i | ||||
\(515\) | 2.54282 | − | 17.6857i | 0.112050 | − | 0.779324i | ||||
\(516\) | 0.648510 | + | 1.42004i | 0.0285491 | + | 0.0625137i | ||||
\(517\) | 6.49233 | + | 1.90632i | 0.285532 | + | 0.0838399i | ||||
\(518\) | −20.1616 | − | 5.91997i | −0.885848 | − | 0.260108i | ||||
\(519\) | 9.84722 | + | 21.5624i | 0.432245 | + | 0.946485i | ||||
\(520\) | −0.138744 | + | 0.964985i | −0.00608432 | + | 0.0423174i | ||||
\(521\) | 6.49754 | − | 7.49856i | 0.284662 | − | 0.328518i | −0.595352 | − | 0.803465i | \(-0.702987\pi\) |
0.880014 | + | 0.474947i | \(0.157533\pi\) | |||||||
\(522\) | 0.743017 | − | 1.62698i | 0.0325210 | − | 0.0712110i | ||||
\(523\) | −10.1093 | − | 6.49685i | −0.442049 | − | 0.284088i | 0.300623 | − | 0.953743i | \(-0.402805\pi\) |
−0.742672 | + | 0.669655i | \(0.766442\pi\) | |||||||
\(524\) | 2.28763 | + | 15.9108i | 0.0999354 | + | 0.695066i | ||||
\(525\) | 2.51722 | − | 1.61772i | 0.109861 | − | 0.0706031i | ||||
\(526\) | −19.1283 | − | 22.0753i | −0.834035 | − | 0.962527i | ||||
\(527\) | −4.60210 | + | 1.35130i | −0.200470 | + | 0.0588634i | ||||
\(528\) | −1.59435 | −0.0693852 | ||||||||
\(529\) | 9.79065 | + | 20.8121i | 0.425680 | + | 0.904874i | ||||
\(530\) | 1.97201 | 0.0856587 | ||||||||
\(531\) | −6.33882 | + | 1.86124i | −0.275081 | + | 0.0807711i | ||||
\(532\) | 3.20251 | + | 3.69589i | 0.138846 | + | 0.160237i | ||||
\(533\) | 5.18204 | − | 3.33030i | 0.224459 | − | 0.144251i | ||||
\(534\) | −0.850228 | − | 5.91347i | −0.0367930 | − | 0.255901i | ||||
\(535\) | −5.94174 | − | 3.81852i | −0.256884 | − | 0.165089i | ||||
\(536\) | 4.63757 | − | 10.1549i | 0.200312 | − | 0.438623i | ||||
\(537\) | 13.0600 | − | 15.0721i | 0.563581 | − | 0.650407i | ||||
\(538\) | −3.88449 | + | 27.0172i | −0.167472 | + | 1.16480i | ||||
\(539\) | −1.29379 | − | 2.83301i | −0.0557276 | − | 0.122026i | ||||
\(540\) | −0.959493 | − | 0.281733i | −0.0412900 | − | 0.0121238i | ||||
\(541\) | 11.4828 | + | 3.37165i | 0.493684 | + | 0.144959i | 0.519092 | − | 0.854718i | \(-0.326270\pi\) |
−0.0254078 | + | 0.999677i | \(0.508088\pi\) | |||||||
\(542\) | −0.448387 | − | 0.981831i | −0.0192599 | − | 0.0421732i | ||||
\(543\) | −2.87056 | + | 19.9652i | −0.123188 | + | 0.856788i | ||||
\(544\) | −0.526198 | + | 0.607265i | −0.0225605 | + | 0.0260363i | ||||
\(545\) | −4.60630 | + | 10.0864i | −0.197312 | + | 0.432053i | ||||
\(546\) | 2.45406 | + | 1.57713i | 0.105024 | + | 0.0674949i | ||||
\(547\) | 3.05397 | + | 21.2408i | 0.130578 | + | 0.908192i | 0.944802 | + | 0.327641i | \(0.106254\pi\) |
−0.814224 | + | 0.580551i | \(0.802837\pi\) | |||||||
\(548\) | 10.5410 | − | 6.77428i | 0.450289 | − | 0.289383i | ||||
\(549\) | −1.52177 | − | 1.75622i | −0.0649476 | − | 0.0749536i | ||||
\(550\) | −1.52977 | + | 0.449181i | −0.0652296 | + | 0.0191531i | ||||
\(551\) | 2.92323 | 0.124534 | ||||||||
\(552\) | 4.04911 | + | 2.56996i | 0.172342 | + | 0.109385i | ||||
\(553\) | 4.55512 | 0.193703 | ||||||||
\(554\) | −17.5764 | + | 5.16089i | −0.746749 | + | 0.219265i | ||||
\(555\) | 4.59871 | + | 5.30720i | 0.195205 | + | 0.225278i | ||||
\(556\) | 5.16097 | − | 3.31675i | 0.218874 | − | 0.140662i | ||||
\(557\) | 4.21110 | + | 29.2888i | 0.178430 | + | 1.24101i | 0.860397 | + | 0.509625i | \(0.170216\pi\) |
−0.681967 | + | 0.731383i | \(0.738875\pi\) | |||||||
\(558\) | 5.02158 | + | 3.22718i | 0.212581 | + | 0.136617i | ||||
\(559\) | −0.632238 | + | 1.38441i | −0.0267408 | + | 0.0585542i | ||||
\(560\) | −1.95949 | + | 2.26138i | −0.0828037 | + | 0.0955606i | ||||
\(561\) | −0.182320 | + | 1.26806i | −0.00769755 | + | 0.0535377i | ||||
\(562\) | −2.29724 | − | 5.03026i | −0.0969033 | − | 0.212189i | ||||
\(563\) | −18.7711 | − | 5.51170i | −0.791108 | − | 0.232290i | −0.138876 | − | 0.990310i | \(-0.544349\pi\) |
−0.652232 | + | 0.758019i | \(0.726167\pi\) | |||||||
\(564\) | −4.07208 | − | 1.19567i | −0.171466 | − | 0.0503469i | ||||
\(565\) | 2.68728 | + | 5.88433i | 0.113055 | + | 0.247555i | ||||
\(566\) | 0.738874 | − | 5.13898i | 0.0310572 | − | 0.216008i | ||||
\(567\) | −1.95949 | + | 2.26138i | −0.0822910 | + | 0.0949688i | ||||
\(568\) | 2.08074 | − | 4.55619i | 0.0873061 | − | 0.191174i | ||||
\(569\) | −7.50745 | − | 4.82475i | −0.314729 | − | 0.202264i | 0.373733 | − | 0.927536i | \(-0.378078\pi\) |
−0.688462 | + | 0.725272i | \(0.741714\pi\) | |||||||
\(570\) | −0.232593 | − | 1.61772i | −0.00974225 | − | 0.0677589i | ||||
\(571\) | −12.2307 | + | 7.86019i | −0.511838 | + | 0.328939i | −0.770936 | − | 0.636913i | \(-0.780211\pi\) |
0.259098 | + | 0.965851i | \(0.416575\pi\) | |||||||
\(572\) | −1.01788 | − | 1.17470i | −0.0425597 | − | 0.0491165i | ||||
\(573\) | −0.951706 | + | 0.279446i | −0.0397581 | + | 0.0116740i | ||||
\(574\) | 18.9062 | 0.789131 | ||||||||
\(575\) | 4.60914 | + | 1.32509i | 0.192214 | + | 0.0552600i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −38.1822 | + | 11.2113i | −1.58955 | + | 0.466733i | −0.952613 | − | 0.304185i | \(-0.901616\pi\) |
−0.636934 | + | 0.770918i | \(0.719798\pi\) | |||||||
\(578\) | −10.7098 | − | 12.3598i | −0.445470 | − | 0.514099i | ||||
\(579\) | 3.51697 | − | 2.26022i | 0.146160 | − | 0.0939315i | ||||
\(580\) | 0.254546 | + | 1.77041i | 0.0105695 | + | 0.0735122i | ||||
\(581\) | 35.2633 | + | 22.6623i | 1.46297 | + | 0.940193i | ||||
\(582\) | 0.0888133 | − | 0.194474i | 0.00368143 | − | 0.00806120i | ||||
\(583\) | −2.05893 | + | 2.37614i | −0.0852723 | + | 0.0984095i | ||||
\(584\) | −0.566293 | + | 3.93865i | −0.0234334 | + | 0.162983i | ||||
\(585\) | −0.404992 | − | 0.886808i | −0.0167443 | − | 0.0366650i | ||||
\(586\) | −12.6440 | − | 3.71262i | −0.522319 | − | 0.153367i | ||||
\(587\) | −31.2889 | − | 9.18725i | −1.29143 | − | 0.379198i | −0.437328 | − | 0.899302i | \(-0.644075\pi\) |
−0.854103 | + | 0.520104i | \(0.825893\pi\) | |||||||
\(588\) | 0.811485 | + | 1.77690i | 0.0334651 | + | 0.0732783i | ||||
\(589\) | −1.38839 | + | 9.65645i | −0.0572075 | + | 0.397887i | ||||
\(590\) | 4.32629 | − | 4.99280i | 0.178110 | − | 0.205550i | ||||
\(591\) | 2.07307 | − | 4.53939i | 0.0852747 | − | 0.186726i | ||||
\(592\) | −5.90764 | − | 3.79661i | −0.242803 | − | 0.156040i | ||||
\(593\) | 2.70197 | + | 18.7926i | 0.110957 | + | 0.771721i | 0.966993 | + | 0.254804i | \(0.0820111\pi\) |
−0.856036 | + | 0.516916i | \(0.827080\pi\) | |||||||
\(594\) | 1.34125 | − | 0.861971i | 0.0550323 | − | 0.0353671i | ||||
\(595\) | 1.57450 | + | 1.81707i | 0.0645484 | + | 0.0744928i | ||||
\(596\) | 12.3772 | − | 3.63429i | 0.506992 | − | 0.148866i | ||||
\(597\) | −0.734584 | −0.0300645 | ||||||||
\(598\) | 0.691563 | + | 4.62407i | 0.0282801 | + | 0.189092i | ||||
\(599\) | 44.7599 | 1.82884 | 0.914419 | − | 0.404768i | \(-0.132648\pi\) | ||||
0.914419 | + | 0.404768i | \(0.132648\pi\) | |||||||
\(600\) | 0.959493 | − | 0.281733i | 0.0391711 | − | 0.0115017i | ||||
\(601\) | 10.7600 | + | 12.4177i | 0.438910 | + | 0.506529i | 0.931505 | − | 0.363730i | \(-0.118497\pi\) |
−0.492594 | + | 0.870259i | \(0.663951\pi\) | |||||||
\(602\) | −3.92967 | + | 2.52545i | −0.160161 | + | 0.102930i | ||||
\(603\) | 1.58876 | + | 11.0501i | 0.0646993 | + | 0.449994i | ||||
\(604\) | 4.86315 | + | 3.12536i | 0.197879 | + | 0.127169i | ||||
\(605\) | −3.51360 | + | 7.69371i | −0.142848 | + | 0.312794i | ||||
\(606\) | 6.28081 | − | 7.24844i | 0.255140 | − | 0.294448i | ||||
\(607\) | −3.64058 | + | 25.3208i | −0.147767 | + | 1.02774i | 0.772098 | + | 0.635504i | \(0.219208\pi\) |
−0.919864 | + | 0.392236i | \(0.871702\pi\) | |||||||
\(608\) | 0.678936 | + | 1.48666i | 0.0275345 | + | 0.0602921i | ||||
\(609\) | 5.13515 | + | 1.50782i | 0.208087 | + | 0.0610998i | ||||
\(610\) | 2.22968 | + | 0.654693i | 0.0902771 | + | 0.0265077i | ||||
\(611\) | −1.71878 | − | 3.76361i | −0.0695345 | − | 0.152259i | ||||
\(612\) | 0.114354 | − | 0.795348i | 0.00462247 | − | 0.0321500i | ||||
\(613\) | −13.6896 | + | 15.7986i | −0.552917 | + | 0.638101i | −0.961560 | − | 0.274594i | \(-0.911457\pi\) |
0.408643 | + | 0.912694i | \(0.366002\pi\) | |||||||
\(614\) | −3.05488 | + | 6.68926i | −0.123285 | + | 0.269956i | ||||
\(615\) | −5.31541 | − | 3.41601i | −0.214338 | − | 0.137747i | ||||
\(616\) | −0.678936 | − | 4.72210i | −0.0273551 | − | 0.190259i | ||||
\(617\) | 22.5638 | − | 14.5009i | 0.908385 | − | 0.583784i | −0.000880605 | − | 1.00000i | \(-0.500280\pi\) |
0.909266 | + | 0.416216i | \(0.136644\pi\) | |||||||
\(618\) | −11.7008 | − | 13.5034i | −0.470673 | − | 0.543186i | ||||
\(619\) | −47.2663 | + | 13.8786i | −1.89979 | + | 0.557829i | −0.910147 | + | 0.414285i | \(0.864032\pi\) |
−0.989644 | + | 0.143544i | \(0.954150\pi\) | |||||||
\(620\) | −5.96917 | −0.239728 | ||||||||
\(621\) | −4.79575 | + | 0.0271313i | −0.192447 | + | 0.00108874i | ||||
\(622\) | −23.8747 | −0.957288 | ||||||||
\(623\) | 17.1523 | − | 5.03637i | 0.687192 | − | 0.201778i | ||||
\(624\) | 0.638429 | + | 0.736786i | 0.0255576 | + | 0.0294951i | ||||
\(625\) | 0.841254 | − | 0.540641i | 0.0336501 | − | 0.0216256i | ||||
\(626\) | 3.13670 | + | 21.8163i | 0.125368 | + | 0.871953i | ||||
\(627\) | 2.19209 | + | 1.40877i | 0.0875435 | + | 0.0562608i | ||||
\(628\) | 2.80519 | − | 6.14251i | 0.111939 | − | 0.245113i | ||||
\(629\) | −3.69519 | + | 4.26447i | −0.147337 | + | 0.170036i | ||||
\(630\) | 0.425839 | − | 2.96177i | 0.0169658 | − | 0.118000i | ||||
\(631\) | 4.41587 | + | 9.66940i | 0.175793 | + | 0.384933i | 0.976934 | − | 0.213543i | \(-0.0685005\pi\) |
−0.801141 | + | 0.598476i | \(0.795773\pi\) | |||||||
\(632\) | 1.46065 | + | 0.428886i | 0.0581016 | + | 0.0170602i | ||||
\(633\) | 9.17283 | + | 2.69339i | 0.364587 | + | 0.107053i | ||||
\(634\) | 3.05601 | + | 6.69173i | 0.121370 | + | 0.265763i | ||||
\(635\) | 1.84320 | − | 12.8198i | 0.0731453 | − | 0.508737i | ||||
\(636\) | 1.29139 | − | 1.49035i | 0.0512070 | − | 0.0590961i | ||||
\(637\) | −0.791123 | + | 1.73232i | −0.0313454 | + | 0.0686369i | ||||
\(638\) | −2.39898 | − | 1.54173i | −0.0949767 | − | 0.0610378i | ||||
\(639\) | 0.712831 | + | 4.95785i | 0.0281992 | + | 0.196129i | ||||
\(640\) | −0.841254 | + | 0.540641i | −0.0332535 | + | 0.0213707i | ||||
\(641\) | −3.79664 | − | 4.38156i | −0.149958 | − | 0.173061i | 0.675800 | − | 0.737085i | \(-0.263798\pi\) |
−0.825759 | + | 0.564024i | \(0.809253\pi\) | |||||||
\(642\) | −6.77686 | + | 1.98987i | −0.267461 | + | 0.0785337i | ||||
\(643\) | 6.66779 | 0.262952 | 0.131476 | − | 0.991319i | \(-0.458028\pi\) | ||||
0.131476 | + | 0.991319i | \(0.458028\pi\) | |||||||
\(644\) | −5.88736 | + | 13.0869i | −0.231994 | + | 0.515698i | ||||
\(645\) | 1.56111 | 0.0614688 | ||||||||
\(646\) | 1.26005 | − | 0.369985i | 0.0495761 | − | 0.0145569i | ||||
\(647\) | 32.4120 | + | 37.4054i | 1.27425 | + | 1.47056i | 0.811829 | + | 0.583896i | \(0.198472\pi\) |
0.462417 | + | 0.886662i | \(0.346982\pi\) | |||||||
\(648\) | −0.841254 | + | 0.540641i | −0.0330476 | + | 0.0212384i | ||||
\(649\) | 1.49900 | + | 10.4257i | 0.0588407 | + | 0.409246i | ||||
\(650\) | 0.820145 | + | 0.527075i | 0.0321687 | + | 0.0206736i | ||||
\(651\) | −7.41978 | + | 16.2470i | −0.290804 | + | 0.636772i | ||||
\(652\) | 11.0501 | − | 12.7525i | 0.432754 | − | 0.499425i | ||||
\(653\) | −5.13536 | + | 35.7172i | −0.200962 | + | 1.39772i | 0.600475 | + | 0.799643i | \(0.294978\pi\) |
−0.801438 | + | 0.598079i | \(0.795931\pi\) | |||||||
\(654\) | 4.60630 | + | 10.0864i | 0.180120 | + | 0.394409i | ||||
\(655\) | 15.4233 | + | 4.52868i | 0.602637 | + | 0.176950i | ||||
\(656\) | 6.06250 | + | 1.78011i | 0.236701 | + | 0.0695017i | ||||
\(657\) | −1.65300 | − | 3.61956i | −0.0644897 | − | 0.141213i | ||||
\(658\) | 1.80726 | − | 12.5697i | 0.0704542 | − | 0.490020i | ||||
\(659\) | −14.8580 | + | 17.1470i | −0.578784 | + | 0.667953i | −0.967343 | − | 0.253471i | \(-0.918428\pi\) |
0.388559 | + | 0.921424i | \(0.372973\pi\) | |||||||
\(660\) | −0.662317 | + | 1.45027i | −0.0257807 | + | 0.0564518i | ||||
\(661\) | 24.0004 | + | 15.4241i | 0.933506 | + | 0.599928i | 0.916547 | − | 0.399928i | \(-0.130965\pi\) |
0.0169598 | + | 0.999856i | \(0.494601\pi\) | |||||||
\(662\) | 0.708989 | + | 4.93113i | 0.0275557 | + | 0.191654i | ||||
\(663\) | 0.659008 | − | 0.423519i | 0.0255938 | − | 0.0164481i | ||||
\(664\) | 9.17382 | + | 10.5872i | 0.356013 | + | 0.410861i | ||||
\(665\) | 4.69227 | − | 1.37778i | 0.181959 | − | 0.0534279i | ||||
\(666\) | 7.02243 | 0.272114 | ||||||||
\(667\) | 3.60747 | + | 7.78244i | 0.139682 | + | 0.301337i | ||||
\(668\) | 5.17683 | 0.200298 | ||||||||
\(669\) | −1.77080 | + | 0.519953i | −0.0684630 | + | 0.0201025i | ||||
\(670\) | −7.31067 | − | 8.43696i | −0.282436 | − | 0.325948i | ||||
\(671\) | −3.11682 | + | 2.00306i | −0.120323 | + | 0.0773272i | ||||
\(672\) | 0.425839 | + | 2.96177i | 0.0164271 | + | 0.114253i | ||||
\(673\) | −27.7781 | − | 17.8519i | −1.07077 | − | 0.688141i | −0.118362 | − | 0.992971i | \(-0.537764\pi\) |
−0.952407 | + | 0.304829i | \(0.901401\pi\) | |||||||
\(674\) | 9.64030 | − | 21.1093i | 0.371331 | − | 0.813101i | ||||
\(675\) | −0.654861 | + | 0.755750i | −0.0252056 | + | 0.0290888i | ||||
\(676\) | 1.71483 | − | 11.9269i | 0.0659550 | − | 0.458727i | ||||
\(677\) | −7.73997 | − | 16.9482i | −0.297471 | − | 0.651371i | 0.700593 | − | 0.713561i | \(-0.252919\pi\) |
−0.998064 | + | 0.0621897i | \(0.980192\pi\) | |||||||
\(678\) | 6.20687 | + | 1.82250i | 0.238373 | + | 0.0699928i | ||||
\(679\) | 0.613808 | + | 0.180230i | 0.0235558 | + | 0.00691660i | ||||
\(680\) | 0.333797 | + | 0.730913i | 0.0128005 | + | 0.0280292i | ||||
\(681\) | 0.100600 | − | 0.699686i | 0.00385499 | − | 0.0268120i | ||||
\(682\) | 6.23228 | − | 7.19243i | 0.238646 | − | 0.275412i | ||||
\(683\) | −6.58520 | + | 14.4196i | −0.251976 | + | 0.551750i | −0.992777 | − | 0.119974i | \(-0.961719\pi\) |
0.740801 | + | 0.671724i | \(0.234446\pi\) | |||||||
\(684\) | −1.37491 | − | 0.883600i | −0.0525709 | − | 0.0337853i | ||||
\(685\) | −1.78322 | − | 12.4026i | −0.0681333 | − | 0.473878i | ||||
\(686\) | 12.7033 | − | 8.16394i | 0.485016 | − | 0.311701i | ||||
\(687\) | −0.415777 | − | 0.479833i | −0.0158629 | − | 0.0183068i | ||||
\(688\) | −1.49788 | + | 0.439817i | −0.0571060 | + | 0.0167678i | ||||
\(689\) | 1.92253 | 0.0732426 | ||||||||
\(690\) | 4.01978 | − | 2.61561i | 0.153030 | − | 0.0995744i | ||||
\(691\) | 42.3686 | 1.61178 | 0.805888 | − | 0.592068i | \(-0.201688\pi\) | ||||
0.805888 | + | 0.592068i | \(0.201688\pi\) | |||||||
\(692\) | −22.7443 | + | 6.67834i | −0.864610 | + | 0.253872i | ||||
\(693\) | 3.12412 | + | 3.60543i | 0.118676 | + | 0.136959i | ||||
\(694\) | −7.38137 | + | 4.74372i | −0.280193 | + | 0.180069i | ||||
\(695\) | −0.873081 | − | 6.07241i | −0.0331178 | − | 0.230340i | ||||
\(696\) | 1.50468 | + | 0.966997i | 0.0570346 | + | 0.0366539i | ||||
\(697\) | 2.10908 | − | 4.61824i | 0.0798870 | − | 0.174928i | ||||
\(698\) | −12.3464 | + | 14.2485i | −0.467319 | + | 0.539315i | ||||
\(699\) | −1.12663 | + | 7.83586i | −0.0426130 | + | 0.296380i | ||||
\(700\) | 1.24302 | + | 2.72183i | 0.0469816 | + | 0.102875i | ||||
\(701\) | 46.4592 | + | 13.6416i | 1.75474 | + | 0.515238i | 0.991412 | − | 0.130776i | \(-0.0417468\pi\) |
0.763326 | + | 0.646013i | \(0.223565\pi\) | |||||||
\(702\) | −0.935418 | − | 0.274663i | −0.0353051 | − | 0.0103665i | ||||
\(703\) | 4.76778 | + | 10.4400i | 0.179820 | + | 0.393751i | ||||
\(704\) | 0.226900 | − | 1.57812i | 0.00855161 | − | 0.0594777i | ||||
\(705\) | −2.77923 | + | 3.20740i | −0.104672 | + | 0.120798i | ||||
\(706\) | −4.24349 | + | 9.29195i | −0.159706 | + | 0.349707i | ||||
\(707\) | 24.1428 | + | 15.5157i | 0.907985 | + | 0.583526i | ||||
\(708\) | −0.940192 | − | 6.53918i | −0.0353346 | − | 0.245757i | ||||
\(709\) | 25.7210 | − | 16.5299i | 0.965974 | − | 0.620794i | 0.0403286 | − | 0.999186i | \(-0.487160\pi\) |
0.925645 | + | 0.378393i | \(0.123523\pi\) | |||||||
\(710\) | −3.28009 | − | 3.78542i | −0.123099 | − | 0.142064i | ||||
\(711\) | −1.46065 | + | 0.428886i | −0.0547787 | + | 0.0160845i | ||||
\(712\) | 5.97428 | 0.223896 | ||||||||
\(713\) | −27.4215 | + | 8.22046i | −1.02694 | + | 0.307859i | ||||
\(714\) | 2.40433 | 0.0899799 | ||||||||
\(715\) | −1.49138 | + | 0.437910i | −0.0557746 | + | 0.0163769i | ||||
\(716\) | 13.0600 | + | 15.0721i | 0.488076 | + | 0.563269i | ||||
\(717\) | −5.43153 | + | 3.49063i | −0.202844 | + | 0.130360i | ||||
\(718\) | −1.25988 | − | 8.76264i | −0.0470182 | − | 0.327019i | ||||
\(719\) | −5.34597 | − | 3.43565i | −0.199371 | − | 0.128128i | 0.437146 | − | 0.899390i | \(-0.355989\pi\) |
−0.636517 | + | 0.771262i | \(0.719626\pi\) | |||||||
\(720\) | 0.415415 | − | 0.909632i | 0.0154816 | − | 0.0339000i | ||||
\(721\) | 35.0113 | − | 40.4052i | 1.30389 | − | 1.50477i | ||||
\(722\) | −2.32384 | + | 16.1627i | −0.0864844 | + | 0.601512i | ||||
\(723\) | −5.86419 | − | 12.8408i | −0.218092 | − | 0.477554i | ||||
\(724\) | −19.3535 | − | 5.68269i | −0.719265 | − | 0.211195i | ||||
\(725\) | 1.71616 | + | 0.503910i | 0.0637366 | + | 0.0187148i | ||||
\(726\) | 3.51360 | + | 7.69371i | 0.130402 | + | 0.285540i | ||||
\(727\) | −3.49170 | + | 24.2853i | −0.129500 | + | 0.900692i | 0.816689 | + | 0.577078i | \(0.195807\pi\) |
−0.946189 | + | 0.323614i | \(0.895102\pi\) | |||||||
\(728\) | −1.91033 | + | 2.20463i | −0.0708014 | + | 0.0817092i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | 3.34748 | + | 2.15129i | 0.123896 | + | 0.0796229i | ||||
\(731\) | 0.178519 | + | 1.24163i | 0.00660277 | + | 0.0459233i | ||||
\(732\) | 1.95491 | − | 1.25635i | 0.0722557 | − | 0.0464359i | ||||
\(733\) | 2.74147 | + | 3.16383i | 0.101259 | + | 0.116859i | 0.804117 | − | 0.594471i | \(-0.202639\pi\) |
−0.702858 | + | 0.711330i | \(0.748093\pi\) | |||||||
\(734\) | 9.90723 | − | 2.90902i | 0.365682 | − | 0.107374i | ||||
\(735\) | 1.95343 | 0.0720534 | ||||||||
\(736\) | −3.12005 | + | 3.64216i | −0.115006 | + | 0.134252i | ||||
\(737\) | 17.7989 | 0.655629 | ||||||||
\(738\) | −6.06250 | + | 1.78011i | −0.223164 | + | 0.0655268i | ||||
\(739\) | 22.7481 | + | 26.2527i | 0.836802 | + | 0.965722i | 0.999781 | − | 0.0209080i | \(-0.00665571\pi\) |
−0.162979 | + | 0.986630i | \(0.552110\pi\) | |||||||
\(740\) | −5.90764 | + | 3.79661i | −0.217169 | + | 0.139566i | ||||
\(741\) | −0.226757 | − | 1.57713i | −0.00833013 | − | 0.0579373i | ||||
\(742\) | 4.96399 | + | 3.19016i | 0.182234 | + | 0.117115i | ||||
\(743\) | 6.40427 | − | 14.0234i | 0.234950 | − | 0.514468i | −0.755028 | − | 0.655693i | \(-0.772377\pi\) |
0.989978 | + | 0.141225i | \(0.0451040\pi\) | |||||||
\(744\) | −3.90897 | + | 4.51120i | −0.143310 | + | 0.165389i | ||||
\(745\) | 1.83583 | − | 12.7685i | 0.0672596 | − | 0.467801i | ||||
\(746\) | 14.8734 | + | 32.5681i | 0.544552 | + | 1.19240i | ||||
\(747\) | −13.4414 | − | 3.94674i | −0.491794 | − | 0.144404i | ||||
\(748\) | −1.22921 | − | 0.360928i | −0.0449443 | − | 0.0131969i | ||||
\(749\) | −8.77937 | − | 19.2241i | −0.320791 | − | 0.702435i | ||||
\(750\) | 0.142315 | − | 0.989821i | 0.00519660 | − | 0.0361432i | ||||
\(751\) | 12.8195 | − | 14.7945i | 0.467791 | − | 0.539859i | −0.472005 | − | 0.881596i | \(-0.656470\pi\) |
0.939796 | + | 0.341737i | \(0.111015\pi\) | |||||||
\(752\) | 1.76302 | − | 3.86047i | 0.0642907 | − | 0.140777i | ||||
\(753\) | 2.00181 | + | 1.28649i | 0.0729502 | + | 0.0468822i | ||||
\(754\) | 0.248159 | + | 1.72598i | 0.00903742 | + | 0.0628567i | ||||
\(755\) | 4.86315 | − | 3.12536i | 0.176988 | − | 0.113743i | ||||
\(756\) | −1.95949 | − | 2.26138i | −0.0712661 | − | 0.0822454i | ||||
\(757\) | −31.9428 | + | 9.37925i | −1.16098 | + | 0.340895i | −0.804813 | − | 0.593528i | \(-0.797735\pi\) |
−0.356167 | + | 0.934422i | \(0.615917\pi\) | |||||||
\(758\) | −16.8112 | −0.610612 | ||||||||
\(759\) | −1.04534 | + | 7.57445i | −0.0379434 | + | 0.274935i | ||||
\(760\) | 1.63436 | 0.0592843 | ||||||||
\(761\) | 12.2802 | − | 3.60578i | 0.445156 | − | 0.130709i | −0.0514696 | − | 0.998675i | \(-0.516391\pi\) |
0.496625 | + | 0.867965i | \(0.334572\pi\) | |||||||
\(762\) | −8.48149 | − | 9.78816i | −0.307252 | − | 0.354588i | ||||
\(763\) | −27.9120 | + | 17.9380i | −1.01048 | + | 0.649398i | ||||
\(764\) | −0.141160 | − | 0.981789i | −0.00510699 | − | 0.0355199i | ||||
\(765\) | −0.675969 | − | 0.434419i | −0.0244397 | − | 0.0157065i | ||||
\(766\) | 10.2779 | − | 22.5054i | 0.371355 | − | 0.813154i | ||||
\(767\) | 4.21773 | − | 4.86752i | 0.152293 | − | 0.175756i | ||||
\(768\) | −0.142315 | + | 0.989821i | −0.00513534 | + | 0.0357171i | ||||
\(769\) | 20.9349 | + | 45.8410i | 0.754931 | + | 1.65307i | 0.757297 | + | 0.653070i | \(0.226519\pi\) |
−0.00236655 | + | 0.999997i | \(0.500753\pi\) | |||||||
\(770\) | −4.57742 | − | 1.34405i | −0.164959 | − | 0.0484362i | ||||
\(771\) | −6.96585 | − | 2.04536i | −0.250869 | − | 0.0736618i | ||||
\(772\) | 1.73670 | + | 3.80283i | 0.0625051 | + | 0.136867i | ||||
\(773\) | −5.15554 | + | 35.8576i | −0.185432 | + | 1.28971i | 0.658224 | + | 0.752822i | \(0.271308\pi\) |
−0.843656 | + | 0.536884i | \(0.819601\pi\) | |||||||
\(774\) | 1.02231 | − | 1.17981i | 0.0367462 | − | 0.0424074i | ||||
\(775\) | −2.47968 | + | 5.42975i | −0.0890728 | + | 0.195042i | ||||
\(776\) | 0.179855 | + | 0.115586i | 0.00645642 | + | 0.00414929i | ||||
\(777\) | 2.99042 | + | 20.7988i | 0.107281 | + | 0.746154i | ||||
\(778\) | −19.8657 | + | 12.7669i | −0.712219 | + | 0.457716i | ||||
\(779\) | −6.76248 | − | 7.80432i | −0.242291 | − | 0.279619i | ||||
\(780\) | 0.935418 | − | 0.274663i | 0.0334933 | − | 0.00983453i | ||||
\(781\) | 7.98584 | 0.285756 | ||||||||
\(782\) | 2.53999 | + | 2.89802i | 0.0908299 | + | 0.103633i | ||||
\(783\) | −1.78861 | −0.0639198 | ||||||||
\(784\) | −1.87430 | + | 0.550345i | −0.0669394 | + | 0.0196552i | ||||
\(785\) | −4.42211 | − | 5.10338i | −0.157832 | − | 0.182148i | ||||
\(786\) | 13.5226 | − | 8.69048i | 0.482337 | − | 0.309979i | ||||
\(787\) | −0.813375 | − | 5.65715i | −0.0289937 | − | 0.201656i | 0.970176 | − | 0.242402i | \(-0.0779354\pi\) |
−0.999170 | + | 0.0407467i | \(0.987026\pi\) | |||||||
\(788\) | 4.19816 | + | 2.69799i | 0.149553 | + | 0.0961120i | ||||
\(789\) | −12.1342 | + | 26.5701i | −0.431988 | + | 0.945922i | ||||
\(790\) | 0.996905 | − | 1.15049i | 0.0354683 | − | 0.0409326i | ||||
\(791\) | −2.75471 | + | 19.1594i | −0.0979462 | + | 0.681231i | ||||
\(792\) | 0.662317 | + | 1.45027i | 0.0235344 | + | 0.0515332i | ||||
\(793\) | 2.17373 | + | 0.638266i | 0.0771915 | + | 0.0226655i | ||||
\(794\) | −25.1624 | − | 7.38835i | −0.892980 | − | 0.262203i | ||||
\(795\) | −0.819203 | − | 1.79380i | −0.0290541 | − | 0.0636197i | ||||
\(796\) | 0.104542 | − | 0.727107i | 0.00370540 | − | 0.0257716i | ||||
\(797\) | −22.9351 | + | 26.4685i | −0.812403 | + | 0.937563i | −0.998993 | − | 0.0448747i | \(-0.985711\pi\) |
0.186589 | + | 0.982438i | \(0.440257\pi\) | |||||||
\(798\) | 2.03153 | − | 4.44843i | 0.0719155 | − | 0.157473i | ||||
\(799\) | −2.86881 | − | 1.84367i | −0.101491 | − | 0.0652244i | ||||
\(800\) | 0.142315 | + | 0.989821i | 0.00503159 | + | 0.0349955i | ||||
\(801\) | −5.02588 | + | 3.22994i | −0.177581 | + | 0.114124i | ||||
\(802\) | −7.23706 | − | 8.35201i | −0.255549 | − | 0.294920i | ||||
\(803\) | −6.08718 | + | 1.78736i | −0.214812 | + | 0.0630745i | ||||
\(804\) | −11.1637 | −0.393713 | ||||||||
\(805\) | 9.45860 | + | 10.7918i | 0.333372 | + | 0.380362i | ||||
\(806\) | −5.81939 | −0.204979 | ||||||||
\(807\) | 26.1894 | − | 7.68991i | 0.921911 | − | 0.270698i | ||||
\(808\) | 6.28081 | + | 7.24844i | 0.220958 | + | 0.254999i | ||||
\(809\) | −11.5316 | + | 7.41089i | −0.405428 | + | 0.260553i | −0.727424 | − | 0.686188i | \(-0.759283\pi\) |
0.321996 | + | 0.946741i | \(0.395646\pi\) | |||||||
\(810\) | 0.142315 | + | 0.989821i | 0.00500043 | + | 0.0347788i | ||||
\(811\) | 6.42281 | + | 4.12769i | 0.225535 | + | 0.144943i | 0.648529 | − | 0.761190i | \(-0.275384\pi\) |
−0.422994 | + | 0.906133i | \(0.639021\pi\) | |||||||
\(812\) | −2.22328 | + | 4.86829i | −0.0780217 | + | 0.170844i | ||||
\(813\) | −0.706838 | + | 0.815734i | −0.0247899 | + | 0.0286091i | ||||
\(814\) | 1.59339 | − | 11.0823i | 0.0558482 | − | 0.388433i | ||||
\(815\) | −7.00968 | − | 15.3491i | −0.245538 | − | 0.537654i | ||||
\(816\) | 0.770978 | + | 0.226380i | 0.0269896 | + | 0.00792487i | ||||
\(817\) | 2.44807 | + | 0.718817i | 0.0856470 | + | 0.0251482i | ||||
\(818\) | 5.70499 | + | 12.4922i | 0.199470 | + | 0.436779i | ||||
\(819\) | 0.415153 | − | 2.88746i | 0.0145066 | − | 0.100896i | ||||
\(820\) | 4.13770 | − | 4.77516i | 0.144495 | − | 0.166756i | ||||
\(821\) | 13.3546 | − | 29.2424i | 0.466077 | − | 1.02057i | −0.519983 | − | 0.854177i | \(-0.674062\pi\) |
0.986060 | − | 0.166390i | \(-0.0532111\pi\) | |||||||
\(822\) | −10.5410 | − | 6.77428i | −0.367659 | − | 0.236280i | ||||
\(823\) | −4.23608 | − | 29.4626i | −0.147661 | − | 1.02700i | −0.920035 | − | 0.391835i | \(-0.871840\pi\) |
0.772375 | − | 0.635167i | \(-0.219069\pi\) | |||||||
\(824\) | 15.0311 | − | 9.65992i | 0.523634 | − | 0.336519i | ||||
\(825\) | 1.04408 | + | 1.20493i | 0.0363501 | + | 0.0419503i | ||||
\(826\) | 18.9672 | − | 5.56927i | 0.659953 | − | 0.193780i | ||||
\(827\) | −18.0791 | −0.628673 | −0.314337 | − | 0.949312i | \(-0.601782\pi\) | ||||
−0.314337 | + | 0.949312i | \(0.601782\pi\) | |||||||
\(828\) | 0.655652 | − | 4.75080i | 0.0227855 | − | 0.165102i | ||||
\(829\) | −6.45333 | −0.224133 | −0.112067 | − | 0.993701i | \(-0.535747\pi\) | ||||
−0.112067 | + | 0.993701i | \(0.535747\pi\) | |||||||
\(830\) | 13.4414 | − | 3.94674i | 0.466556 | − | 0.136993i | ||||
\(831\) | 11.9960 | + | 13.8441i | 0.416137 | + | 0.480248i | ||||
\(832\) | −0.820145 | + | 0.527075i | −0.0284334 | + | 0.0182730i | ||||
\(833\) | 0.223382 | + | 1.55366i | 0.00773973 | + | 0.0538310i | ||||
\(834\) | −5.16097 | − | 3.31675i | −0.178710 | − | 0.114850i | ||||
\(835\) | 2.15053 | − | 4.70901i | 0.0744223 | − | 0.162962i | ||||
\(836\) | −1.70640 | + | 1.96929i | −0.0590169 | + | 0.0681092i | ||||
\(837\) | 0.849501 | − | 5.90841i | 0.0293631 | − | 0.204225i | ||||
\(838\) | −4.97227 | − | 10.8878i | −0.171764 | − | 0.376111i | ||||
\(839\) | −22.0997 | − | 6.48905i | −0.762965 | − | 0.224027i | −0.122975 | − | 0.992410i | \(-0.539244\pi\) |
−0.639990 | + | 0.768383i | \(0.721062\pi\) | |||||||
\(840\) | 2.87102 | + | 0.843008i | 0.0990597 | + | 0.0290865i | ||||
\(841\) | −10.7181 | − | 23.4693i | −0.369588 | − | 0.809286i | ||||
\(842\) | 2.68793 | − | 18.6950i | 0.0926322 | − | 0.644271i | ||||
\(843\) | −3.62138 | + | 4.17929i | −0.124727 | + | 0.143942i | ||||
\(844\) | −3.97140 | + | 8.69616i | −0.136701 | + | 0.299334i | ||||
\(845\) | −10.1367 | − | 6.51448i | −0.348714 | − | 0.224105i | ||||
\(846\) | 0.603983 | + | 4.20080i | 0.0207654 | + | 0.144426i | ||||
\(847\) | −21.2908 | + | 13.6828i | −0.731560 | + | 0.470145i | ||||
\(848\) | 1.29139 | + | 1.49035i | 0.0443466 | + | 0.0511787i | ||||
\(849\) | −4.98152 | + | 1.46271i | −0.170965 | + | 0.0502000i | ||||
\(850\) | 0.803526 | 0.0275607 | ||||||||
\(851\) | −21.9103 | + | 25.5768i | −0.751076 | + | 0.876761i | ||||
\(852\) | −5.00883 | −0.171600 | ||||||||
\(853\) | 33.6935 | − | 9.89329i | 1.15364 | − | 0.338740i | 0.351683 | − | 0.936119i | \(-0.385609\pi\) |
0.801959 | + | 0.597379i | \(0.203791\pi\) | |||||||
\(854\) | 4.55349 | + | 5.25501i | 0.155817 | + | 0.179823i | ||||
\(855\) | −1.37491 | + | 0.883600i | −0.0470209 | + | 0.0302185i | ||||
\(856\) | −1.00516 | − | 6.99107i | −0.0343558 | − | 0.238950i | ||||
\(857\) | −9.14115 | − | 5.87466i | −0.312256 | − | 0.200674i | 0.375121 | − | 0.926976i | \(-0.377601\pi\) |
−0.687376 | + | 0.726302i | \(0.741238\pi\) | |||||||
\(858\) | −0.645699 | + | 1.41388i | −0.0220438 | + | 0.0482692i | ||||
\(859\) | 16.0892 | − | 18.5679i | 0.548955 | − | 0.633528i | −0.411684 | − | 0.911327i | \(-0.635059\pi\) |
0.960639 | + | 0.277799i | \(0.0896048\pi\) | |||||||
\(860\) | −0.222170 | + | 1.54522i | −0.00757592 | + | 0.0526917i | ||||
\(861\) | −7.85393 | − | 17.1977i | −0.267661 | − | 0.586097i | ||||
\(862\) | 24.3834 | + | 7.15961i | 0.830501 | + | 0.243857i | ||||
\(863\) | −51.2557 | − | 15.0500i | −1.74476 | − | 0.512309i | −0.755087 | − | 0.655624i | \(-0.772406\pi\) |
−0.989677 | + | 0.143315i | \(0.954224\pi\) | |||||||
\(864\) | −0.415415 | − | 0.909632i | −0.0141327 | − | 0.0309463i | ||||
\(865\) | −3.37351 | + | 23.4633i | −0.114703 | + | 0.797775i | ||||
\(866\) | 6.91875 | − | 7.98466i | 0.235109 | − | 0.271330i | ||||
\(867\) | −6.79384 | + | 14.8764i | −0.230731 | + | 0.505230i | ||||
\(868\) | −15.0257 | − | 9.65645i | −0.510007 | − | 0.327761i | ||||
\(869\) | 0.345413 | + | 2.40240i | 0.0117173 | + | 0.0814959i | ||||
\(870\) | 1.50468 | − | 0.966997i | 0.0510133 | − | 0.0327843i | ||||
\(871\) | −7.12723 | − | 8.22526i | −0.241497 | − | 0.278702i | ||||
\(872\) | −10.6393 | + | 3.12397i | −0.360291 | + | 0.105791i | ||||
\(873\) | −0.213794 | −0.00723583 | ||||||||
\(874\) | 7.50799 | − | 2.25076i | 0.253961 | − | 0.0761330i | ||||
\(875\) | 2.99223 | 0.101156 | ||||||||
\(876\) | 3.81797 | − | 1.12106i | 0.128997 | − | 0.0378770i | ||||
\(877\) | −6.91551 | − | 7.98093i | −0.233520 | − | 0.269497i | 0.626880 | − | 0.779116i | \(-0.284332\pi\) |
−0.860400 | + | 0.509619i | \(0.829786\pi\) | |||||||
\(878\) | −25.5018 | + | 16.3890i | −0.860643 | + | 0.553102i | ||||
\(879\) | 1.87540 | + | 13.0437i | 0.0632556 | + | 0.439952i | ||||
\(880\) | −1.34125 | − | 0.861971i | −0.0452136 | − | 0.0290570i | ||||
\(881\) | −1.70826 | + | 3.74057i | −0.0575529 | + | 0.126023i | −0.936223 | − | 0.351406i | \(-0.885704\pi\) |
0.878670 | + | 0.477429i | \(0.158431\pi\) | |||||||
\(882\) | 1.27923 | − | 1.47631i | 0.0430738 | − | 0.0497098i | ||||
\(883\) | 5.69348 | − | 39.5990i | 0.191601 | − | 1.33261i | −0.636171 | − | 0.771548i | \(-0.719483\pi\) |
0.827772 | − | 0.561065i | \(-0.189608\pi\) | |||||||
\(884\) | 0.325421 | + | 0.712573i | 0.0109451 | + | 0.0239664i | ||||
\(885\) | −6.33882 | − | 1.86124i | −0.213077 | − | 0.0625650i | ||||
\(886\) | −29.7410 | − | 8.73275i | −0.999169 | − | 0.293382i | ||||
\(887\) | −13.3943 | − | 29.3295i | −0.449738 | − | 0.984789i | −0.989708 | − | 0.143104i | \(-0.954292\pi\) |
0.539969 | − | 0.841685i | \(-0.318436\pi\) | |||||||
\(888\) | −0.999396 | + | 6.95095i | −0.0335375 | + | 0.233259i | ||||
\(889\) | 25.3786 | − | 29.2884i | 0.851169 | − | 0.982302i | ||||
\(890\) | 2.48181 | − | 5.43439i | 0.0831903 | − | 0.182161i | ||||
\(891\) | −1.34125 | − | 0.861971i | −0.0449337 | − | 0.0288771i | ||||
\(892\) | −0.262650 | − | 1.82677i | −0.00879417 | − | 0.0611648i | ||||
\(893\) | −5.83510 | + | 3.74999i | −0.195264 | + | 0.125489i | ||||
\(894\) | −8.44756 | − | 9.74900i | −0.282529 | − | 0.326055i | ||||
\(895\) | 19.1354 | − | 5.61865i | 0.639624 | − | 0.187811i | ||||
\(896\) | −2.99223 | −0.0999633 | ||||||||
\(897\) | 3.91891 | − | 2.54997i | 0.130849 | − | 0.0851412i | ||||
\(898\) | −6.36852 | −0.212520 | ||||||||
\(899\) | −10.2441 | + | 3.00793i | −0.341658 | + | 0.100320i | ||||
\(900\) | −0.654861 | − | 0.755750i | −0.0218287 | − | 0.0251917i | ||||
\(901\) | 1.33302 | − | 0.856679i | 0.0444093 | − | 0.0285401i | ||||
\(902\) | 1.43365 | + | 9.97128i | 0.0477355 | + | 0.332007i | ||||
\(903\) | 3.92967 | + | 2.52545i | 0.130771 | + | 0.0840416i | ||||
\(904\) | −2.68728 | + | 5.88433i | −0.0893777 | + | 0.195710i | ||||
\(905\) | −13.2089 | + | 15.2438i | −0.439078 | + | 0.506723i | ||||
\(906\) | 0.822700 | − | 5.72200i | 0.0273324 | − | 0.190101i | ||||
\(907\) | −16.0389 | − | 35.1202i | −0.532562 | − | 1.16615i | −0.964461 | − | 0.264226i | \(-0.914883\pi\) |
0.431899 | − | 0.901922i | \(-0.357844\pi\) | |||||||
\(908\) | 0.678247 | + | 0.199151i | 0.0225084 | + | 0.00660907i | ||||
\(909\) | −9.20255 | − | 2.70211i | −0.305229 | − | 0.0896235i | ||||
\(910\) | 1.21183 | + | 2.65353i | 0.0401717 | + | 0.0879637i | ||||
\(911\) | 4.72731 | − | 32.8792i | 0.156623 | − | 1.08934i | −0.748177 | − | 0.663499i | \(-0.769071\pi\) |
0.904800 | − | 0.425837i | \(-0.140020\pi\) | |||||||
\(912\) | 1.07028 | − | 1.23516i | 0.0354404 | − | 0.0409004i | ||||
\(913\) | −9.27828 | + | 20.3166i | −0.307066 | + | 0.672381i | ||||
\(914\) | −30.6288 | − | 19.6839i | −1.01311 | − | 0.651087i | ||||
\(915\) | −0.330713 | − | 2.30016i | −0.0109330 | − | 0.0760409i | ||||
\(916\) | 0.534120 | − | 0.343258i | 0.0176478 | − | 0.0113416i | ||||
\(917\) | 31.4977 | + | 36.3503i | 1.04014 | + | 1.20039i | ||||
\(918\) | −0.770978 | + | 0.226380i | −0.0254461 | + | 0.00747164i | ||||
\(919\) | 39.5537 | 1.30475 | 0.652377 | − | 0.757894i | \(-0.273772\pi\) | ||||
0.652377 | + | 0.757894i | \(0.273772\pi\) | |||||||
\(920\) | 2.01691 | + | 4.35110i | 0.0664955 | + | 0.143452i | ||||
\(921\) | 7.35380 | 0.242316 | ||||||||
\(922\) | 6.19013 | − | 1.81759i | 0.203861 | − | 0.0598590i | ||||
\(923\) | −3.19778 | − | 3.69044i | −0.105256 | − | 0.121472i | ||||
\(924\) | −4.01334 | + | 2.57922i | −0.132029 | + | 0.0848499i | ||||
\(925\) | 0.999396 | + | 6.95095i | 0.0328599 | + | 0.228546i | ||||
\(926\) | 14.5203 | + | 9.33164i | 0.477167 | + | 0.306657i | ||||
\(927\) | −7.42245 | + | 16.2529i | −0.243785 | + | 0.533815i | ||||
\(928\) | −1.17129 | + | 1.35174i | −0.0384496 | + | 0.0443732i | ||||
\(929\) | 1.59483 | − | 11.0923i | 0.0523246 | − | 0.363925i | −0.946790 | − | 0.321852i | \(-0.895695\pi\) |
0.999115 | − | 0.0420732i | \(-0.0133963\pi\) | |||||||
\(930\) | 2.47968 | + | 5.42975i | 0.0813120 | + | 0.178048i | ||||
\(931\) | 3.06328 | + | 0.899460i | 0.100395 | + | 0.0294786i | ||||
\(932\) | −7.59577 | − | 2.23032i | −0.248808 | − | 0.0730565i | ||||
\(933\) | 9.91791 | + | 21.7172i | 0.324698 | + | 0.710989i | ||||
\(934\) | 4.12357 | − | 28.6800i | 0.134927 | − | 0.938439i | ||||
\(935\) | −0.838944 | + | 0.968193i | −0.0274364 | + | 0.0316633i | ||||
\(936\) | 0.404992 | − | 0.886808i | 0.0132376 | − | 0.0289862i | ||||
\(937\) | 3.89353 | + | 2.50222i | 0.127196 | + | 0.0817440i | 0.602692 | − | 0.797974i | \(-0.294095\pi\) |
−0.475496 | + | 0.879718i | \(0.657731\pi\) | |||||||
\(938\) | −4.75393 | − | 33.0643i | −0.155221 | − | 1.07959i | ||||
\(939\) | 18.5417 | − | 11.9160i | 0.605087 | − | 0.388866i | ||||
\(940\) | −2.77923 | − | 3.20740i | −0.0906483 | − | 0.104614i | ||||
\(941\) | 17.8144 | − | 5.23079i | 0.580734 | − | 0.170519i | 0.0218448 | − | 0.999761i | \(-0.493046\pi\) |
0.558889 | + | 0.829243i | \(0.311228\pi\) | |||||||
\(942\) | −6.75275 | −0.220016 | ||||||||
\(943\) | 12.4319 | − | 27.6346i | 0.404837 | − | 0.899907i | ||||
\(944\) | 6.60642 | 0.215021 | ||||||||
\(945\) | −2.87102 | + | 0.843008i | −0.0933944 | + | 0.0274231i | ||||
\(946\) | −1.62992 | − | 1.88103i | −0.0529934 | − | 0.0611577i | ||||
\(947\) | −51.1922 | + | 32.8992i | −1.66352 | + | 1.06908i | −0.750778 | + | 0.660555i | \(0.770321\pi\) |
−0.912746 | + | 0.408527i | \(0.866043\pi\) | |||||||
\(948\) | −0.216648 | − | 1.50682i | −0.00703641 | − | 0.0489393i | ||||
\(949\) | 3.26348 | + | 2.09731i | 0.105937 | + | 0.0680817i | ||||
\(950\) | 0.678936 | − | 1.48666i | 0.0220276 | − | 0.0482337i | ||||
\(951\) | 4.81750 | − | 5.55969i | 0.156218 | − | 0.180285i | ||||
\(952\) | −0.342172 | + | 2.37986i | −0.0110899 | + | 0.0771318i | ||||
\(953\) | −14.3892 | − | 31.5079i | −0.466111 | − | 1.02064i | −0.986052 | − | 0.166438i | \(-0.946773\pi\) |
0.519941 | − | 0.854202i | \(-0.325954\pi\) | |||||||
\(954\) | −1.89213 | − | 0.555580i | −0.0612600 | − | 0.0179876i | ||||
\(955\) | −0.951706 | − | 0.279446i | −0.0307965 | − | 0.00904267i | ||||
\(956\) | −2.68212 | − | 5.87302i | −0.0867458 | − | 0.189947i | ||||
\(957\) | −0.405836 | + | 2.82265i | −0.0131188 | + | 0.0912434i | ||||
\(958\) | 21.0738 | − | 24.3204i | 0.680863 | − | 0.785758i | ||||
\(959\) | 15.5751 | − | 34.1048i | 0.502947 | − | 1.10130i | ||||
\(960\) | 0.841254 | + | 0.540641i | 0.0271513 | + | 0.0174491i | ||||
\(961\) | −0.659058 | − | 4.58385i | −0.0212599 | − | 0.147866i | ||||
\(962\) | −5.75941 | + | 3.70135i | −0.185691 | + | 0.119336i | ||||
\(963\) | 4.62525 | + | 5.33783i | 0.149047 | + | 0.172009i | ||||
\(964\) | 13.5447 | − | 3.97707i | 0.436244 | − | 0.128093i | ||||
\(965\) | 4.18063 | 0.134579 | ||||||||
\(966\) | 14.3500 | − | 0.0811830i | 0.461703 | − | 0.00261202i | ||||
\(967\) | 40.3627 | 1.29798 | 0.648988 | − | 0.760798i | \(-0.275192\pi\) | ||||
0.648988 | + | 0.760798i | \(0.275192\pi\) | |||||||
\(968\) | −8.11543 | + | 2.38291i | −0.260840 | + | 0.0765895i | ||||
\(969\) | −0.859995 | − | 0.992487i | −0.0276270 | − | 0.0318833i | ||||
\(970\) | 0.179855 | − | 0.115586i | 0.00577480 | − | 0.00371124i | ||||
\(971\) | −1.51896 | − | 10.5646i | −0.0487457 | − | 0.339034i | −0.999571 | − | 0.0293048i | \(-0.990671\pi\) |
0.950825 | − | 0.309729i | \(-0.100238\pi\) | |||||||
\(972\) | 0.841254 | + | 0.540641i | 0.0269832 | + | 0.0173411i | ||||
\(973\) | 7.62572 | − | 16.6980i | 0.244469 | − | 0.535313i | ||||
\(974\) | −17.3397 | + | 20.0111i | −0.555599 | + | 0.641196i | ||||
\(975\) | 0.138744 | − | 0.964985i | 0.00444336 | − | 0.0309043i | ||||
\(976\) | 0.965346 | + | 2.11381i | 0.0309000 | + | 0.0676615i | ||||
\(977\) | 1.99916 | + | 0.587005i | 0.0639587 | + | 0.0187800i | 0.313555 | − | 0.949570i | \(-0.398480\pi\) |
−0.249597 | + | 0.968350i | \(0.580298\pi\) | |||||||
\(978\) | −16.1904 | − | 4.75393i | −0.517712 | − | 0.152014i | ||||
\(979\) | 3.95687 | + | 8.66433i | 0.126462 | + | 0.276913i | ||||
\(980\) | −0.278002 | + | 1.93355i | −0.00888046 | + | 0.0617649i | ||||
\(981\) | 7.26137 | − | 8.38007i | 0.231838 | − | 0.267555i | ||||
\(982\) | 12.1693 | − | 26.6470i | 0.388337 | − | 0.850340i | ||||
\(983\) | −40.1650 | − | 25.8125i | −1.28106 | − | 0.823289i | −0.290045 | − | 0.957013i | \(-0.593670\pi\) |
−0.991019 | + | 0.133724i | \(0.957307\pi\) | |||||||
\(984\) | −0.899209 | − | 6.25413i | −0.0286657 | − | 0.199374i | ||||
\(985\) | 4.19816 | − | 2.69799i | 0.133764 | − | 0.0859651i | ||||
\(986\) | 0.941164 | + | 1.08616i | 0.0299728 | + | 0.0345904i | ||||
\(987\) | −12.1846 | + | 3.57772i | −0.387840 | + | 0.113880i | ||||
\(988\) | 1.59335 | 0.0506911 | ||||||||
\(989\) | 1.10740 | + | 7.40449i | 0.0352131 | + | 0.235449i | ||||
\(990\) | 1.59435 | 0.0506718 | ||||||||
\(991\) | 14.5653 | − | 4.27675i | 0.462681 | − | 0.135856i | −0.0420803 | − | 0.999114i | \(-0.513399\pi\) |
0.504762 | + | 0.863259i | \(0.331580\pi\) | |||||||
\(992\) | −3.90897 | − | 4.51120i | −0.124110 | − | 0.143231i | ||||
\(993\) | 4.19099 | − | 2.69338i | 0.132997 | − | 0.0854720i | ||||
\(994\) | −2.13295 | − | 14.8350i | −0.0676532 | − | 0.470538i | ||||
\(995\) | −0.617971 | − | 0.397146i | −0.0195910 | − | 0.0125904i | ||||
\(996\) | 5.81947 | − | 12.7429i | 0.184397 | − | 0.403773i | ||||
\(997\) | 5.86834 | − | 6.77243i | 0.185852 | − | 0.214485i | −0.655176 | − | 0.755476i | \(-0.727405\pi\) |
0.841028 | + | 0.540992i | \(0.181951\pi\) | |||||||
\(998\) | −4.91462 | + | 34.1819i | −0.155570 | + | 1.08201i | ||||
\(999\) | −2.91722 | − | 6.38783i | −0.0922968 | − | 0.202102i |
(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 | 690.2.m.b.331.1 | yes | 10 | |
23.18 | even | 11 | inner | 690.2.m.b.271.1 | ✓ | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.b.271.1 | ✓ | 10 | 23.18 | even | 11 | inner | |
690.2.m.b.331.1 | yes | 10 | 1.1 | even | 1 | trivial |