Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 263.34 | ||
Character | \(\chi\) | \(=\) | 570.263 |
Dual form | 570.2.bi.a.557.34 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0871557 | + | 0.996195i | 0.0616284 | + | 0.704416i | ||||
\(3\) | 0.604167 | + | 1.62326i | 0.348816 | + | 0.937191i | ||||
\(4\) | −0.984808 | + | 0.173648i | −0.492404 | + | 0.0868241i | ||||
\(5\) | −0.885339 | + | 2.05333i | −0.395936 | + | 0.918278i | ||||
\(6\) | −1.56443 | + | 0.743345i | −0.638676 | + | 0.303469i | ||||
\(7\) | 2.10029 | + | 0.562771i | 0.793835 | + | 0.212707i | 0.632875 | − | 0.774254i | \(-0.281875\pi\) |
0.160959 | + | 0.986961i | \(0.448541\pi\) | |||||||
\(8\) | −0.258819 | − | 0.965926i | −0.0915064 | − | 0.341506i | ||||
\(9\) | −2.26996 | + | 1.96144i | −0.756655 | + | 0.653815i | ||||
\(10\) | −2.12268 | − | 0.703010i | −0.671251 | − | 0.222311i | ||||
\(11\) | −4.26692 | − | 2.46351i | −1.28653 | − | 0.742776i | −0.308493 | − | 0.951227i | \(-0.599825\pi\) |
−0.978033 | + | 0.208450i | \(0.933158\pi\) | |||||||
\(12\) | −0.876865 | − | 1.49369i | −0.253129 | − | 0.431191i | ||||
\(13\) | 1.55734 | + | 3.33972i | 0.431928 | + | 0.926272i | 0.995001 | + | 0.0998650i | \(0.0318411\pi\) |
−0.563073 | + | 0.826407i | \(0.690381\pi\) | |||||||
\(14\) | −0.377577 | + | 2.14135i | −0.100912 | + | 0.572299i | ||||
\(15\) | −3.86799 | − | 0.196581i | −0.998711 | − | 0.0507570i | ||||
\(16\) | 0.939693 | − | 0.342020i | 0.234923 | − | 0.0855050i | ||||
\(17\) | −0.0644939 | − | 0.737169i | −0.0156421 | − | 0.178790i | −0.999997 | − | 0.00259072i | \(-0.999175\pi\) |
0.984355 | − | 0.176199i | \(-0.0563802\pi\) | |||||||
\(18\) | −2.15182 | − | 2.09037i | −0.507189 | − | 0.492706i | ||||
\(19\) | −3.80763 | + | 2.12178i | −0.873530 | + | 0.486771i | ||||
\(20\) | 0.515331 | − | 2.17588i | 0.115232 | − | 0.486541i | ||||
\(21\) | 0.355401 | + | 3.74933i | 0.0775549 | + | 0.818171i | ||||
\(22\) | 2.08225 | − | 4.46540i | 0.443937 | − | 0.952026i | ||||
\(23\) | 6.88940 | + | 4.82401i | 1.43654 | + | 1.00588i | 0.994030 | + | 0.109111i | \(0.0348005\pi\) |
0.442509 | + | 0.896764i | \(0.354088\pi\) | |||||||
\(24\) | 1.41158 | − | 1.00371i | 0.288138 | − | 0.204882i | ||||
\(25\) | −3.43235 | − | 3.63579i | −0.686470 | − | 0.727158i | ||||
\(26\) | −3.19128 | + | 1.84249i | −0.625862 | + | 0.361341i | ||||
\(27\) | −4.55538 | − | 2.49971i | −0.876683 | − | 0.481069i | ||||
\(28\) | −2.16611 | − | 0.189510i | −0.409356 | − | 0.0358140i | ||||
\(29\) | 5.94881 | − | 4.99165i | 1.10467 | − | 0.926925i | 0.106937 | − | 0.994266i | \(-0.465896\pi\) |
0.997730 | + | 0.0673405i | \(0.0214514\pi\) | |||||||
\(30\) | −0.141285 | − | 3.87041i | −0.0257949 | − | 0.706636i | ||||
\(31\) | −1.68756 | − | 2.92294i | −0.303095 | − | 0.524976i | 0.673740 | − | 0.738968i | \(-0.264687\pi\) |
−0.976835 | + | 0.213992i | \(0.931353\pi\) | |||||||
\(32\) | 0.422618 | + | 0.906308i | 0.0747091 | + | 0.160214i | ||||
\(33\) | 1.42099 | − | 8.41471i | 0.247362 | − | 1.46481i | ||||
\(34\) | 0.728743 | − | 0.128497i | 0.124978 | − | 0.0220370i | ||||
\(35\) | −3.01502 | + | 3.81435i | −0.509632 | + | 0.644743i | ||||
\(36\) | 1.89488 | − | 2.32582i | 0.315813 | − | 0.387637i | ||||
\(37\) | −2.59022 | + | 2.59022i | −0.425830 | + | 0.425830i | −0.887205 | − | 0.461375i | \(-0.847356\pi\) |
0.461375 | + | 0.887205i | \(0.347356\pi\) | |||||||
\(38\) | −2.44557 | − | 3.60821i | −0.396723 | − | 0.585330i | ||||
\(39\) | −4.48035 | + | 4.54572i | −0.717431 | + | 0.727897i | ||||
\(40\) | 2.21251 | + | 0.323730i | 0.349828 | + | 0.0511862i | ||||
\(41\) | 1.88858 | + | 5.18882i | 0.294946 | + | 0.810358i | 0.995325 | + | 0.0965863i | \(0.0307924\pi\) |
−0.700378 | + | 0.713772i | \(0.746985\pi\) | |||||||
\(42\) | −3.70409 | + | 0.680824i | −0.571553 | + | 0.105053i | ||||
\(43\) | 1.20210 | − | 0.841718i | 0.183318 | − | 0.128361i | −0.478315 | − | 0.878188i | \(-0.658752\pi\) |
0.661634 | + | 0.749827i | \(0.269863\pi\) | |||||||
\(44\) | 4.62988 | + | 1.68514i | 0.697981 | + | 0.254044i | ||||
\(45\) | −2.01781 | − | 6.39753i | −0.300798 | − | 0.953688i | ||||
\(46\) | −4.20520 | + | 7.28362i | −0.620023 | + | 1.07391i | ||||
\(47\) | −3.40531 | − | 0.297926i | −0.496716 | − | 0.0434570i | −0.163954 | − | 0.986468i | \(-0.552425\pi\) |
−0.332762 | + | 0.943011i | \(0.607981\pi\) | |||||||
\(48\) | 1.12292 | + | 1.31873i | 0.162080 | + | 0.190342i | ||||
\(49\) | −1.96767 | − | 1.13604i | −0.281096 | − | 0.162291i | ||||
\(50\) | 3.32281 | − | 3.73617i | 0.469916 | − | 0.528374i | ||||
\(51\) | 1.15765 | − | 0.550064i | 0.162104 | − | 0.0770243i | ||||
\(52\) | −2.11361 | − | 3.01855i | −0.293106 | − | 0.418598i | ||||
\(53\) | −1.78702 | − | 1.25128i | −0.245466 | − | 0.171877i | 0.444369 | − | 0.895844i | \(-0.353428\pi\) |
−0.689835 | + | 0.723967i | \(0.742317\pi\) | |||||||
\(54\) | 2.09317 | − | 4.75591i | 0.284844 | − | 0.647197i | ||||
\(55\) | 8.83608 | − | 6.58037i | 1.19146 | − | 0.887298i | ||||
\(56\) | − | 2.17438i | − | 0.290564i | ||||||
\(57\) | −5.74466 | − | 4.89887i | −0.760898 | − | 0.648871i | ||||
\(58\) | 5.49112 | + | 5.49112i | 0.721020 | + | 0.721020i | ||||
\(59\) | 0.260072 | + | 0.218226i | 0.0338584 | + | 0.0284106i | 0.659560 | − | 0.751652i | \(-0.270743\pi\) |
−0.625701 | + | 0.780063i | \(0.715187\pi\) | |||||||
\(60\) | 3.84336 | − | 0.478075i | 0.496176 | − | 0.0617192i | ||||
\(61\) | 2.17200 | + | 12.3180i | 0.278096 | + | 1.57716i | 0.728952 | + | 0.684564i | \(0.240008\pi\) |
−0.450856 | + | 0.892596i | \(0.648881\pi\) | |||||||
\(62\) | 2.76474 | − | 1.93589i | 0.351122 | − | 0.245858i | ||||
\(63\) | −5.87143 | + | 2.84213i | −0.739730 | + | 0.358075i | ||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | −8.23633 | + | 0.240948i | −1.02159 | + | 0.0298859i | ||||
\(66\) | 8.50654 | + | 0.682190i | 1.04708 | + | 0.0839718i | ||||
\(67\) | −0.241436 | + | 2.75962i | −0.0294961 | + | 0.337142i | 0.967081 | + | 0.254470i | \(0.0819009\pi\) |
−0.996577 | + | 0.0826720i | \(0.973655\pi\) | |||||||
\(68\) | 0.191522 | + | 0.714770i | 0.0232255 | + | 0.0866786i | ||||
\(69\) | −3.66828 | + | 14.0978i | −0.441610 | + | 1.69718i | ||||
\(70\) | −4.06261 | − | 2.67111i | −0.485575 | − | 0.319259i | ||||
\(71\) | 14.7306 | + | 2.59739i | 1.74820 | + | 0.308254i | 0.954089 | − | 0.299524i | \(-0.0968279\pi\) |
0.794107 | + | 0.607778i | \(0.207939\pi\) | |||||||
\(72\) | 2.48212 | + | 1.68496i | 0.292521 | + | 0.198574i | ||||
\(73\) | 6.92199 | + | 3.22778i | 0.810158 | + | 0.377783i | 0.783135 | − | 0.621852i | \(-0.213619\pi\) |
0.0270231 | + | 0.999635i | \(0.491397\pi\) | |||||||
\(74\) | −2.80612 | − | 2.35461i | −0.326205 | − | 0.273718i | ||||
\(75\) | 3.82813 | − | 7.76823i | 0.442034 | − | 0.896998i | ||||
\(76\) | 3.38134 | − | 2.75074i | 0.387866 | − | 0.315531i | ||||
\(77\) | −7.57539 | − | 7.57539i | −0.863295 | − | 0.863295i | ||||
\(78\) | −4.91891 | − | 4.06712i | −0.556957 | − | 0.460510i | ||||
\(79\) | 0.282184 | + | 0.775293i | 0.0317481 | + | 0.0872273i | 0.954554 | − | 0.298038i | \(-0.0963322\pi\) |
−0.922806 | + | 0.385265i | \(0.874110\pi\) | |||||||
\(80\) | −0.129665 | + | 2.23231i | −0.0144970 | + | 0.249579i | ||||
\(81\) | 1.30547 | − | 8.90482i | 0.145052 | − | 0.989424i | ||||
\(82\) | −5.00448 | + | 2.33363i | −0.552652 | + | 0.257706i | ||||
\(83\) | 5.94152 | + | 1.59202i | 0.652166 | + | 0.174747i | 0.569708 | − | 0.821847i | \(-0.307056\pi\) |
0.0824581 | + | 0.996595i | \(0.473723\pi\) | |||||||
\(84\) | −1.00107 | − | 3.63065i | −0.109225 | − | 0.396137i | ||||
\(85\) | 1.57075 | + | 0.520217i | 0.170372 | + | 0.0564254i | ||||
\(86\) | 0.943285 | + | 1.12416i | 0.101717 | + | 0.121222i | ||||
\(87\) | 11.6968 | + | 6.64070i | 1.25403 | + | 0.711957i | ||||
\(88\) | −1.27521 | + | 4.75914i | −0.135937 | + | 0.507326i | ||||
\(89\) | 5.88303 | + | 2.14125i | 0.623600 | + | 0.226972i | 0.634443 | − | 0.772969i | \(-0.281229\pi\) |
−0.0108432 | + | 0.999941i | \(0.503452\pi\) | |||||||
\(90\) | 6.19733 | − | 2.56771i | 0.653255 | − | 0.270661i | ||||
\(91\) | 1.39136 | + | 7.89081i | 0.145854 | + | 0.827181i | ||||
\(92\) | −7.62241 | − | 3.55439i | −0.794691 | − | 0.370571i | ||||
\(93\) | 3.72513 | − | 4.50530i | 0.386278 | − | 0.467178i | ||||
\(94\) | − | 3.41832i | − | 0.352573i | ||||||
\(95\) | −0.985686 | − | 9.69683i | −0.101129 | − | 0.994873i | ||||
\(96\) | −1.21584 | + | 1.23358i | −0.124092 | + | 0.125902i | ||||
\(97\) | −2.02829 | + | 0.177453i | −0.205942 | + | 0.0180176i | −0.189660 | − | 0.981850i | \(-0.560739\pi\) |
−0.0162820 | + | 0.999867i | \(0.505183\pi\) | |||||||
\(98\) | 0.960219 | − | 2.05920i | 0.0969968 | − | 0.208010i | ||||
\(99\) | 14.5178 | − | 2.77726i | 1.45909 | − | 0.279125i | ||||
\(100\) | 4.01155 | + | 2.98453i | 0.401155 | + | 0.298453i | ||||
\(101\) | −6.05245 | + | 16.6290i | −0.602241 | + | 1.65464i | 0.144482 | + | 0.989507i | \(0.453848\pi\) |
−0.746723 | + | 0.665136i | \(0.768374\pi\) | |||||||
\(102\) | 0.648867 | + | 1.10531i | 0.0642474 | + | 0.109442i | ||||
\(103\) | −7.50097 | + | 2.00988i | −0.739092 | + | 0.198039i | −0.608675 | − | 0.793420i | \(-0.708299\pi\) |
−0.130418 | + | 0.991459i | \(0.541632\pi\) | |||||||
\(104\) | 2.82285 | − | 2.36866i | 0.276804 | − | 0.232266i | ||||
\(105\) | −8.01327 | − | 2.58967i | −0.782015 | − | 0.252726i | ||||
\(106\) | 1.09077 | − | 1.88927i | 0.105945 | − | 0.183502i | ||||
\(107\) | 3.45627 | − | 12.8990i | 0.334130 | − | 1.24699i | −0.570679 | − | 0.821173i | \(-0.693320\pi\) |
0.904809 | − | 0.425818i | \(-0.140014\pi\) | |||||||
\(108\) | 4.92024 | + | 1.67070i | 0.473450 | + | 0.160763i | ||||
\(109\) | 6.16747 | + | 1.08749i | 0.590736 | + | 0.104163i | 0.461022 | − | 0.887389i | \(-0.347483\pi\) |
0.129714 | + | 0.991551i | \(0.458594\pi\) | |||||||
\(110\) | 7.32545 | + | 8.22894i | 0.698454 | + | 0.784598i | ||||
\(111\) | −5.76954 | − | 2.63969i | −0.547621 | − | 0.250548i | ||||
\(112\) | 2.16611 | − | 0.189510i | 0.204678 | − | 0.0179070i | ||||
\(113\) | −11.5052 | + | 11.5052i | −1.08231 | + | 1.08231i | −0.0860203 | + | 0.996293i | \(0.527415\pi\) |
−0.996293 | + | 0.0860203i | \(0.972585\pi\) | |||||||
\(114\) | 4.37955 | − | 6.14976i | 0.410182 | − | 0.575978i | ||||
\(115\) | −16.0047 | + | 9.87535i | −1.49245 | + | 0.920881i | ||||
\(116\) | −4.99165 | + | 5.94881i | −0.463463 | + | 0.552333i | ||||
\(117\) | −10.0858 | − | 4.52642i | −0.932430 | − | 0.418467i | ||||
\(118\) | −0.194729 | + | 0.278102i | −0.0179262 | + | 0.0256013i | ||||
\(119\) | 0.279401 | − | 1.58456i | 0.0256127 | − | 0.145257i | ||||
\(120\) | 0.811227 | + | 3.78707i | 0.0740546 | + | 0.345711i | ||||
\(121\) | 6.63776 | + | 11.4969i | 0.603433 | + | 1.04518i | ||||
\(122\) | −12.0818 | + | 3.23732i | −1.09384 | + | 0.293093i | ||||
\(123\) | −7.28181 | + | 6.20057i | −0.656578 | + | 0.559087i | ||||
\(124\) | 2.16949 | + | 2.58549i | 0.194826 | + | 0.232184i | ||||
\(125\) | 10.5043 | − | 3.82885i | 0.939531 | − | 0.342463i | ||||
\(126\) | −3.34305 | − | 5.60138i | −0.297822 | − | 0.499010i | ||||
\(127\) | 6.89262 | − | 3.21408i | 0.611621 | − | 0.285204i | −0.0920221 | − | 0.995757i | \(-0.529333\pi\) |
0.703643 | + | 0.710553i | \(0.251555\pi\) | |||||||
\(128\) | −0.573576 | − | 0.819152i | −0.0506975 | − | 0.0724035i | ||||
\(129\) | 2.09260 | + | 1.44278i | 0.184243 | + | 0.127030i | ||||
\(130\) | −0.957874 | − | 8.18399i | −0.0840111 | − | 0.717783i | ||||
\(131\) | −8.40466 | + | 10.0163i | −0.734319 | + | 0.875127i | −0.995938 | − | 0.0900444i | \(-0.971299\pi\) |
0.261619 | + | 0.965171i | \(0.415744\pi\) | |||||||
\(132\) | 0.0617994 | + | 8.53362i | 0.00537895 | + | 0.742757i | ||||
\(133\) | −9.19120 | + | 2.31354i | −0.796978 | + | 0.200609i | ||||
\(134\) | −2.77017 | −0.239306 | ||||||||
\(135\) | 9.16578 | − | 7.14062i | 0.788865 | − | 0.614567i | ||||
\(136\) | −0.695358 | + | 0.253090i | −0.0596265 | + | 0.0217023i | ||||
\(137\) | 6.68466 | − | 9.54668i | 0.571109 | − | 0.815628i | −0.424866 | − | 0.905256i | \(-0.639679\pi\) |
0.995975 | + | 0.0896279i | \(0.0285678\pi\) | |||||||
\(138\) | −14.3639 | − | 2.42562i | −1.22273 | − | 0.206483i | ||||
\(139\) | 0.0511906 | − | 0.140645i | 0.00434193 | − | 0.0119294i | −0.937503 | − | 0.347978i | \(-0.886868\pi\) |
0.941845 | + | 0.336049i | \(0.109091\pi\) | |||||||
\(140\) | 2.30686 | − | 4.27996i | 0.194966 | − | 0.361722i | ||||
\(141\) | −1.57377 | − | 5.70772i | −0.132535 | − | 0.480676i | ||||
\(142\) | −1.30366 | + | 14.9009i | −0.109401 | + | 1.25045i | ||||
\(143\) | 1.58239 | − | 18.0869i | 0.132326 | − | 1.51250i | ||||
\(144\) | −1.46221 | + | 2.61953i | −0.121851 | + | 0.218294i | ||||
\(145\) | 4.98280 | + | 16.6342i | 0.413799 | + | 1.38139i | ||||
\(146\) | −2.61220 | + | 7.17697i | −0.216188 | + | 0.593970i | ||||
\(147\) | 0.655282 | − | 3.88040i | 0.0540467 | − | 0.320050i | ||||
\(148\) | 2.10109 | − | 3.00066i | 0.172708 | − | 0.246653i | ||||
\(149\) | 9.66268 | − | 3.51693i | 0.791598 | − | 0.288118i | 0.0855977 | − | 0.996330i | \(-0.472720\pi\) |
0.706000 | + | 0.708212i | \(0.250498\pi\) | |||||||
\(150\) | 8.07232 | + | 3.13652i | 0.659102 | + | 0.256095i | ||||
\(151\) | 9.44372 | 0.768519 | 0.384260 | − | 0.923225i | \(-0.374457\pi\) | ||||
0.384260 | + | 0.923225i | \(0.374457\pi\) | |||||||
\(152\) | 3.03497 | + | 3.12873i | 0.246169 | + | 0.253773i | ||||
\(153\) | 1.59231 | + | 1.54685i | 0.128731 | + | 0.125055i | ||||
\(154\) | 6.88632 | − | 8.20680i | 0.554916 | − | 0.661323i | ||||
\(155\) | 7.49584 | − | 0.877331i | 0.602080 | − | 0.0704689i | ||||
\(156\) | 3.62293 | − | 5.25466i | 0.290067 | − | 0.420710i | ||||
\(157\) | 9.78069 | + | 13.9683i | 0.780584 | + | 1.11479i | 0.990560 | + | 0.137083i | \(0.0437728\pi\) |
−0.209975 | + | 0.977707i | \(0.567338\pi\) | |||||||
\(158\) | −0.747749 | + | 0.348681i | −0.0594877 | + | 0.0277396i | ||||
\(159\) | 0.951504 | − | 3.65678i | 0.0754592 | − | 0.290002i | ||||
\(160\) | −2.23511 | + | 0.0653865i | −0.176701 | + | 0.00516926i | ||||
\(161\) | 11.7549 | + | 14.0090i | 0.926418 | + | 1.10406i | ||||
\(162\) | 8.98471 | + | 0.524398i | 0.705905 | + | 0.0412006i | ||||
\(163\) | 19.8976 | − | 5.33155i | 1.55850 | − | 0.417599i | 0.626312 | − | 0.779572i | \(-0.284564\pi\) |
0.932188 | + | 0.361973i | \(0.117897\pi\) | |||||||
\(164\) | −2.76091 | − | 4.78204i | −0.215591 | − | 0.373415i | ||||
\(165\) | 16.0201 | + | 10.3676i | 1.24717 | + | 0.807119i | ||||
\(166\) | −1.06813 | + | 6.05766i | −0.0829029 | + | 0.470166i | ||||
\(167\) | 12.3728 | − | 17.6701i | 0.957433 | − | 1.36736i | 0.0275017 | − | 0.999622i | \(-0.491245\pi\) |
0.929931 | − | 0.367734i | \(-0.119866\pi\) | |||||||
\(168\) | 3.52959 | − | 1.31369i | 0.272314 | − | 0.101353i | ||||
\(169\) | −0.372199 | + | 0.443569i | −0.0286307 | + | 0.0341207i | ||||
\(170\) | −0.381337 | + | 1.61011i | −0.0292472 | + | 0.123490i | ||||
\(171\) | 4.48142 | − | 12.2848i | 0.342703 | − | 0.939444i | ||||
\(172\) | −1.03767 | + | 1.03767i | −0.0791218 | + | 0.0791218i | ||||
\(173\) | −21.0791 | + | 1.84418i | −1.60262 | + | 0.140211i | −0.853090 | − | 0.521764i | \(-0.825274\pi\) |
−0.749526 | + | 0.661975i | \(0.769719\pi\) | |||||||
\(174\) | −5.59598 | + | 12.2311i | −0.424230 | + | 0.927237i | ||||
\(175\) | −5.16281 | − | 9.56784i | −0.390272 | − | 0.723261i | ||||
\(176\) | −4.85217 | − | 0.855568i | −0.365746 | − | 0.0644909i | ||||
\(177\) | −0.197111 | + | 0.554010i | −0.0148158 | + | 0.0416419i | ||||
\(178\) | −1.62036 | + | 6.04727i | −0.121451 | + | 0.453262i | ||||
\(179\) | −1.45030 | + | 2.51200i | −0.108401 | + | 0.187756i | −0.915123 | − | 0.403176i | \(-0.867906\pi\) |
0.806722 | + | 0.590932i | \(0.201240\pi\) | |||||||
\(180\) | 3.09808 | + | 5.94995i | 0.230917 | + | 0.443483i | ||||
\(181\) | −0.641113 | + | 0.537958i | −0.0476536 | + | 0.0399861i | −0.666303 | − | 0.745681i | \(-0.732124\pi\) |
0.618650 | + | 0.785667i | \(0.287680\pi\) | |||||||
\(182\) | −7.73951 | + | 2.07380i | −0.573691 | + | 0.153720i | ||||
\(183\) | −18.6831 | + | 10.9679i | −1.38110 | + | 0.810768i | ||||
\(184\) | 2.87653 | − | 7.90319i | 0.212060 | − | 0.582631i | ||||
\(185\) | −3.02537 | − | 7.61182i | −0.222429 | − | 0.559632i | ||||
\(186\) | 4.81283 | + | 3.31830i | 0.352893 | + | 0.243309i | ||||
\(187\) | −1.54083 | + | 3.30432i | −0.112677 | + | 0.241636i | ||||
\(188\) | 3.40531 | − | 0.297926i | 0.248358 | − | 0.0217285i | ||||
\(189\) | −8.16085 | − | 7.81374i | −0.593614 | − | 0.568366i | ||||
\(190\) | 9.57402 | − | 1.82707i | 0.694572 | − | 0.132550i | ||||
\(191\) | − | 10.3808i | − | 0.751128i | −0.926796 | − | 0.375564i | \(-0.877449\pi\) | ||
0.926796 | − | 0.375564i | \(-0.122551\pi\) | |||||||
\(192\) | −1.33486 | − | 1.10370i | −0.0963349 | − | 0.0796529i | ||||
\(193\) | 24.0316 | + | 11.2061i | 1.72983 | + | 0.806633i | 0.991177 | + | 0.132547i | \(0.0423155\pi\) |
0.738653 | + | 0.674086i | \(0.235462\pi\) | |||||||
\(194\) | −0.353555 | − | 2.00511i | −0.0253837 | − | 0.143958i | ||||
\(195\) | −5.36724 | − | 13.2242i | −0.384356 | − | 0.947001i | ||||
\(196\) | 2.13505 | + | 0.777094i | 0.152504 | + | 0.0555067i | ||||
\(197\) | −3.94202 | + | 14.7118i | −0.280857 | + | 1.04817i | 0.670956 | + | 0.741497i | \(0.265884\pi\) |
−0.951814 | + | 0.306677i | \(0.900783\pi\) | |||||||
\(198\) | 4.03200 | + | 14.2205i | 0.286542 | + | 1.01061i | ||||
\(199\) | −10.6649 | − | 12.7099i | −0.756013 | − | 0.900981i | 0.241576 | − | 0.970382i | \(-0.422336\pi\) |
−0.997589 | + | 0.0694006i | \(0.977891\pi\) | |||||||
\(200\) | −2.62355 | + | 4.25641i | −0.185513 | + | 0.300973i | ||||
\(201\) | −4.62546 | + | 1.27536i | −0.326255 | + | 0.0899570i | ||||
\(202\) | −17.0932 | − | 4.58010i | −1.20267 | − | 0.322255i | ||||
\(203\) | 15.3034 | − | 7.13608i | 1.07409 | − | 0.500855i | ||||
\(204\) | −1.04455 | + | 0.742731i | −0.0731330 | + | 0.0520016i | ||||
\(205\) | −12.3264 | − | 0.715989i | −0.860914 | − | 0.0500068i | ||||
\(206\) | −2.65598 | − | 7.29725i | −0.185051 | − | 0.508424i | ||||
\(207\) | −25.1007 | + | 2.56285i | −1.74462 | + | 0.178130i | ||||
\(208\) | 2.60567 | + | 2.60567i | 0.180671 | + | 0.180671i | ||||
\(209\) | 21.4739 | + | 0.326641i | 1.48538 | + | 0.0225942i | ||||
\(210\) | 1.88141 | − | 8.20848i | 0.129830 | − | 0.566439i | ||||
\(211\) | −13.8056 | − | 11.5843i | −0.950419 | − | 0.797497i | 0.0289487 | − | 0.999581i | \(-0.490784\pi\) |
−0.979368 | + | 0.202084i | \(0.935228\pi\) | |||||||
\(212\) | 1.97715 | + | 0.921961i | 0.135791 | + | 0.0633205i | ||||
\(213\) | 4.68347 | + | 25.4808i | 0.320906 | + | 1.74592i | ||||
\(214\) | 13.1511 | + | 2.31890i | 0.898993 | + | 0.158517i | ||||
\(215\) | 0.664063 | + | 3.21351i | 0.0452887 | + | 0.219160i | ||||
\(216\) | −1.23551 | + | 5.04713i | −0.0840660 | + | 0.343414i | ||||
\(217\) | −1.89942 | − | 7.08874i | −0.128941 | − | 0.481215i | ||||
\(218\) | −0.545823 | + | 6.23878i | −0.0369678 | + | 0.422544i | ||||
\(219\) | −1.05749 | + | 13.1863i | −0.0714586 | + | 0.891050i | ||||
\(220\) | −7.55917 | + | 8.01477i | −0.509639 | + | 0.540356i | ||||
\(221\) | 2.36150 | − | 1.36341i | 0.158852 | − | 0.0917130i | ||||
\(222\) | 2.12679 | − | 5.97765i | 0.142741 | − | 0.401194i | ||||
\(223\) | −13.0133 | + | 9.11200i | −0.871434 | + | 0.610185i | −0.921421 | − | 0.388565i | \(-0.872971\pi\) |
0.0499869 | + | 0.998750i | \(0.484082\pi\) | |||||||
\(224\) | 0.377577 | + | 2.14135i | 0.0252279 | + | 0.143075i | ||||
\(225\) | 14.9227 | + | 1.52075i | 0.994847 | + | 0.101383i | ||||
\(226\) | −12.4641 | − | 10.4586i | −0.829100 | − | 0.695698i | ||||
\(227\) | −0.303702 | − | 0.303702i | −0.0201574 | − | 0.0201574i | 0.696956 | − | 0.717114i | \(-0.254537\pi\) |
−0.717114 | + | 0.696956i | \(0.754537\pi\) | |||||||
\(228\) | 6.50806 | + | 3.82690i | 0.431007 | + | 0.253442i | ||||
\(229\) | − | 22.3564i | − | 1.47735i | −0.674060 | − | 0.738677i | \(-0.735451\pi\) | ||
0.674060 | − | 0.738677i | \(-0.264549\pi\) | |||||||
\(230\) | −11.2327 | − | 15.0831i | −0.740660 | − | 0.994553i | ||||
\(231\) | 7.72004 | − | 16.8736i | 0.507941 | − | 1.11020i | ||||
\(232\) | −6.36123 | − | 4.45418i | −0.417635 | − | 0.292431i | ||||
\(233\) | −1.31280 | − | 1.87488i | −0.0860047 | − | 0.122827i | 0.773844 | − | 0.633376i | \(-0.218331\pi\) |
−0.859849 | + | 0.510548i | \(0.829442\pi\) | |||||||
\(234\) | 3.63016 | − | 10.4419i | 0.237311 | − | 0.682608i | ||||
\(235\) | 3.62660 | − | 6.72848i | 0.236573 | − | 0.438917i | ||||
\(236\) | −0.294015 | − | 0.169750i | −0.0191388 | − | 0.0110498i | ||||
\(237\) | −1.08802 | + | 0.926465i | −0.0706744 | + | 0.0601804i | ||||
\(238\) | 1.60288 | + | 0.140234i | 0.103900 | + | 0.00909004i | ||||
\(239\) | 5.28097 | − | 9.14691i | 0.341598 | − | 0.591664i | −0.643132 | − | 0.765755i | \(-0.722365\pi\) |
0.984730 | + | 0.174091i | \(0.0556987\pi\) | |||||||
\(240\) | −3.70196 | + | 1.13821i | −0.238960 | + | 0.0734708i | ||||
\(241\) | −5.03504 | − | 1.83260i | −0.324335 | − | 0.118048i | 0.174721 | − | 0.984618i | \(-0.444098\pi\) |
−0.499056 | + | 0.866570i | \(0.666320\pi\) | |||||||
\(242\) | −10.8747 | + | 7.61453i | −0.699050 | + | 0.489480i | ||||
\(243\) | 15.2436 | − | 3.26087i | 0.977876 | − | 0.209185i | ||||
\(244\) | −4.27800 | − | 11.7537i | −0.273871 | − | 0.752455i | ||||
\(245\) | 4.07472 | − | 3.03451i | 0.260324 | − | 0.193868i | ||||
\(246\) | −6.81163 | − | 6.71368i | −0.434294 | − | 0.428049i | ||||
\(247\) | −13.0159 | − | 9.41208i | −0.828184 | − | 0.598877i | ||||
\(248\) | −2.38657 | + | 2.38657i | −0.151548 | + | 0.151548i | ||||
\(249\) | 1.00540 | + | 10.6065i | 0.0637144 | + | 0.672159i | ||||
\(250\) | 4.72979 | + | 10.1306i | 0.299138 | + | 0.640715i | ||||
\(251\) | −17.1205 | + | 3.01881i | −1.08064 | + | 0.190546i | −0.685497 | − | 0.728075i | \(-0.740415\pi\) |
−0.395140 | + | 0.918621i | \(0.629304\pi\) | |||||||
\(252\) | 5.28869 | − | 3.81852i | 0.333156 | − | 0.240544i | ||||
\(253\) | −17.5125 | − | 37.5558i | −1.10100 | − | 2.36111i | ||||
\(254\) | 3.80258 | + | 6.58627i | 0.238595 | + | 0.413259i | ||||
\(255\) | 0.104549 | + | 2.86404i | 0.00654708 | + | 0.179353i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −22.9823 | − | 2.01069i | −1.43360 | − | 0.125423i | −0.656272 | − | 0.754524i | \(-0.727868\pi\) |
−0.777323 | + | 0.629101i | \(0.783423\pi\) | |||||||
\(258\) | −1.25491 | + | 2.21038i | −0.0781273 | + | 0.137612i | ||||
\(259\) | −6.89792 | + | 3.98252i | −0.428616 | + | 0.247462i | ||||
\(260\) | 8.06936 | − | 1.66751i | 0.500441 | − | 0.103415i | ||||
\(261\) | −3.71275 | + | 22.9991i | −0.229814 | + | 1.42361i | ||||
\(262\) | −10.7107 | − | 7.49970i | −0.661708 | − | 0.463333i | ||||
\(263\) | 2.15675 | − | 4.62517i | 0.132991 | − | 0.285200i | −0.828524 | − | 0.559954i | \(-0.810819\pi\) |
0.961514 | + | 0.274754i | \(0.0885965\pi\) | |||||||
\(264\) | −8.49577 | + | 0.805319i | −0.522878 | + | 0.0495639i | ||||
\(265\) | 4.15142 | − | 2.56153i | 0.255019 | − | 0.157354i | ||||
\(266\) | −3.10580 | − | 8.95459i | −0.190429 | − | 0.549041i | ||||
\(267\) | 0.0785264 | + | 10.8434i | 0.00480574 | + | 0.663604i | ||||
\(268\) | −0.241436 | − | 2.75962i | −0.0147480 | − | 0.168571i | ||||
\(269\) | −13.5207 | + | 4.92112i | −0.824369 | + | 0.300046i | −0.719546 | − | 0.694445i | \(-0.755650\pi\) |
−0.104823 | + | 0.994491i | \(0.533428\pi\) | |||||||
\(270\) | 7.91230 | + | 8.50856i | 0.481527 | + | 0.517814i | ||||
\(271\) | 3.77824 | − | 21.4274i | 0.229512 | − | 1.30162i | −0.624358 | − | 0.781138i | \(-0.714639\pi\) |
0.853870 | − | 0.520487i | \(-0.174249\pi\) | |||||||
\(272\) | −0.312731 | − | 0.670654i | −0.0189621 | − | 0.0406644i | ||||
\(273\) | −11.9682 | + | 7.02591i | −0.724351 | + | 0.425228i | ||||
\(274\) | 10.0930 | + | 5.82717i | 0.609738 | + | 0.352032i | ||||
\(275\) | 5.68878 | + | 23.9693i | 0.343046 | + | 1.44540i | ||||
\(276\) | 1.16450 | − | 14.5206i | 0.0700944 | − | 0.874039i | ||||
\(277\) | −7.35963 | − | 27.4665i | −0.442197 | − | 1.65030i | −0.723232 | − | 0.690605i | \(-0.757345\pi\) |
0.281035 | − | 0.959697i | \(-0.409322\pi\) | |||||||
\(278\) | 0.144571 | + | 0.0387378i | 0.00867082 | + | 0.00232334i | ||||
\(279\) | 9.56389 | + | 3.32492i | 0.572575 | + | 0.199057i | ||||
\(280\) | 4.46473 | + | 1.92506i | 0.266818 | + | 0.115045i | ||||
\(281\) | −3.50659 | + | 0.618307i | −0.209186 | + | 0.0368851i | −0.277259 | − | 0.960795i | \(-0.589426\pi\) |
0.0680731 | + | 0.997680i | \(0.478315\pi\) | |||||||
\(282\) | 5.54883 | − | 2.06524i | 0.330428 | − | 0.122983i | ||||
\(283\) | −0.560398 | − | 6.40538i | −0.0333122 | − | 0.380760i | −0.994490 | − | 0.104831i | \(-0.966570\pi\) |
0.961178 | − | 0.275929i | \(-0.0889856\pi\) | |||||||
\(284\) | −14.9578 | −0.887582 | ||||||||
\(285\) | 15.1450 | − | 7.45853i | 0.897111 | − | 0.441805i | ||||
\(286\) | 18.1559 | 1.07358 | ||||||||
\(287\) | 1.04644 | + | 11.9609i | 0.0617694 | + | 0.706028i | ||||
\(288\) | −2.73700 | − | 1.22834i | −0.161279 | − | 0.0723808i | ||||
\(289\) | 16.2025 | − | 2.85693i | 0.953087 | − | 0.168055i | ||||
\(290\) | −16.1366 | + | 6.41360i | −0.947574 | + | 0.376620i | ||||
\(291\) | −1.51348 | − | 3.18524i | −0.0887218 | − | 0.186722i | ||||
\(292\) | −7.37733 | − | 1.97675i | −0.431726 | − | 0.115681i | ||||
\(293\) | 1.21842 | + | 4.54721i | 0.0711809 | + | 0.265651i | 0.992340 | − | 0.123535i | \(-0.0394231\pi\) |
−0.921159 | + | 0.389186i | \(0.872756\pi\) | |||||||
\(294\) | 3.92275 | + | 0.314589i | 0.228779 | + | 0.0183472i | ||||
\(295\) | −0.678342 | + | 0.340810i | −0.0394946 | + | 0.0198427i | ||||
\(296\) | 3.17236 | + | 1.83157i | 0.184390 | + | 0.106458i | ||||
\(297\) | 13.2794 | + | 21.8883i | 0.770549 | + | 1.27009i | ||||
\(298\) | 4.34570 | + | 9.31939i | 0.251740 | + | 0.539858i | ||||
\(299\) | −5.38173 | + | 30.5213i | −0.311233 | + | 1.76509i | ||||
\(300\) | −2.42103 | + | 8.31496i | −0.139778 | + | 0.480065i | ||||
\(301\) | 2.99845 | − | 1.09135i | 0.172828 | − | 0.0629041i | ||||
\(302\) | 0.823075 | + | 9.40779i | 0.0473626 | + | 0.541357i | ||||
\(303\) | −30.6499 | + | 0.221962i | −1.76079 | + | 0.0127514i | ||||
\(304\) | −2.85231 | + | 3.29611i | −0.163591 | + | 0.189045i | ||||
\(305\) | −27.2159 | − | 6.44578i | −1.55838 | − | 0.369084i | ||||
\(306\) | −1.40218 | + | 1.72107i | −0.0801573 | + | 0.0983871i | ||||
\(307\) | −2.70925 | + | 5.81000i | −0.154625 | + | 0.331594i | −0.968326 | − | 0.249689i | \(-0.919671\pi\) |
0.813701 | + | 0.581283i | \(0.197449\pi\) | |||||||
\(308\) | 8.77575 | + | 6.14485i | 0.500045 | + | 0.350135i | ||||
\(309\) | −7.79440 | − | 10.9617i | −0.443408 | − | 0.623592i | ||||
\(310\) | 1.52730 | + | 7.39085i | 0.0867447 | + | 0.419772i | ||||
\(311\) | 23.3376 | − | 13.4740i | 1.32336 | − | 0.764040i | 0.339093 | − | 0.940753i | \(-0.389880\pi\) |
0.984262 | + | 0.176713i | \(0.0565464\pi\) | |||||||
\(312\) | 5.55043 | + | 3.15117i | 0.314231 | + | 0.178400i | ||||
\(313\) | 19.8176 | + | 1.73381i | 1.12016 | + | 0.0980009i | 0.632155 | − | 0.774842i | \(-0.282171\pi\) |
0.488001 | + | 0.872843i | \(0.337726\pi\) | |||||||
\(314\) | −13.0627 | + | 10.9609i | −0.737170 | + | 0.618559i | ||||
\(315\) | −0.637642 | − | 14.5722i | −0.0359270 | − | 0.821053i | ||||
\(316\) | −0.412525 | − | 0.714514i | −0.0232063 | − | 0.0401945i | ||||
\(317\) | −4.22106 | − | 9.05208i | −0.237078 | − | 0.508416i | 0.751387 | − | 0.659861i | \(-0.229385\pi\) |
−0.988466 | + | 0.151446i | \(0.951607\pi\) | |||||||
\(318\) | 3.72580 | + | 0.629173i | 0.208932 | + | 0.0352823i | ||||
\(319\) | −37.6801 | + | 6.64402i | −2.10968 | + | 0.371994i | ||||
\(320\) | −0.259941 | − | 2.22091i | −0.0145311 | − | 0.124153i | ||||
\(321\) | 23.0266 | − | 2.18270i | 1.28522 | − | 0.121827i | ||||
\(322\) | −12.9312 | + | 12.9312i | −0.720625 | + | 0.720625i | ||||
\(323\) | 1.80968 | + | 2.67002i | 0.100693 | + | 0.148564i | ||||
\(324\) | 0.260666 | + | 8.99622i | 0.0144815 | + | 0.499790i | ||||
\(325\) | 6.79720 | − | 17.1252i | 0.377041 | − | 0.949938i | ||||
\(326\) | 7.04545 | + | 19.3572i | 0.390211 | + | 1.07210i | ||||
\(327\) | 1.96090 | + | 10.6685i | 0.108438 | + | 0.589967i | ||||
\(328\) | 4.52322 | − | 3.16719i | 0.249753 | − | 0.174879i | ||||
\(329\) | −6.98448 | − | 2.54214i | −0.385067 | − | 0.140153i | ||||
\(330\) | −8.93193 | + | 16.8628i | −0.491687 | + | 0.928266i | ||||
\(331\) | −2.35556 | + | 4.07995i | −0.129473 | + | 0.224254i | −0.923473 | − | 0.383664i | \(-0.874662\pi\) |
0.793999 | + | 0.607919i | \(0.207995\pi\) | |||||||
\(332\) | −6.12770 | − | 0.536105i | −0.336301 | − | 0.0294226i | ||||
\(333\) | 0.799134 | − | 10.9603i | 0.0437923 | − | 0.600621i | ||||
\(334\) | 18.6812 | + | 10.7856i | 1.02219 | + | 0.590163i | ||||
\(335\) | −5.45267 | − | 2.93895i | −0.297911 | − | 0.160572i | ||||
\(336\) | 1.61631 | + | 3.40166i | 0.0881772 | + | 0.185576i | ||||
\(337\) | −2.57113 | − | 3.67196i | −0.140058 | − | 0.200024i | 0.742995 | − | 0.669297i | \(-0.233405\pi\) |
−0.883053 | + | 0.469273i | \(0.844516\pi\) | |||||||
\(338\) | −0.474321 | − | 0.332123i | −0.0257996 | − | 0.0180651i | ||||
\(339\) | −25.6269 | − | 11.7248i | −1.39186 | − | 0.636806i | ||||
\(340\) | −1.63722 | − | 0.239555i | −0.0887909 | − | 0.0129917i | ||||
\(341\) | 16.6293i | 0.900527i | ||||||||
\(342\) | 12.6287 | + | 3.39367i | 0.682880 | + | 0.183509i | ||||
\(343\) | −14.2560 | − | 14.2560i | −0.769751 | − | 0.769751i | ||||
\(344\) | −1.12416 | − | 0.943285i | −0.0606108 | − | 0.0508585i | ||||
\(345\) | −25.6998 | − | 20.0135i | −1.38363 | − | 1.07749i | ||||
\(346\) | −3.67433 | − | 20.8382i | −0.197533 | − | 1.12027i | ||||
\(347\) | 19.3340 | − | 13.5378i | 1.03790 | − | 0.726749i | 0.0751629 | − | 0.997171i | \(-0.476052\pi\) |
0.962742 | + | 0.270423i | \(0.0871634\pi\) | |||||||
\(348\) | −12.6723 | − | 4.50868i | −0.679305 | − | 0.241690i | ||||
\(349\) | −29.2783 | + | 16.9038i | −1.56723 | + | 0.904841i | −0.570740 | + | 0.821131i | \(0.693344\pi\) |
−0.996490 | + | 0.0837099i | \(0.973323\pi\) | |||||||
\(350\) | 9.08146 | − | 5.97706i | 0.485425 | − | 0.319487i | ||||
\(351\) | 1.25406 | − | 19.1066i | 0.0669370 | − | 1.01983i | ||||
\(352\) | 0.429418 | − | 4.90827i | 0.0228881 | − | 0.261612i | ||||
\(353\) | −6.62121 | − | 24.7107i | −0.352412 | − | 1.31522i | −0.883711 | − | 0.468034i | \(-0.844963\pi\) |
0.531299 | − | 0.847184i | \(-0.321704\pi\) | |||||||
\(354\) | −0.569081 | − | 0.148076i | −0.0302463 | − | 0.00787016i | ||||
\(355\) | −18.3749 | + | 27.9472i | −0.975236 | + | 1.48328i | ||||
\(356\) | −6.16548 | − | 1.08714i | −0.326770 | − | 0.0576183i | ||||
\(357\) | 2.74097 | − | 0.503800i | 0.145067 | − | 0.0266639i | ||||
\(358\) | −2.62884 | − | 1.22585i | −0.138939 | − | 0.0647882i | ||||
\(359\) | 13.9345 | + | 11.6924i | 0.735435 | + | 0.617103i | 0.931607 | − | 0.363466i | \(-0.118407\pi\) |
−0.196173 | + | 0.980569i | \(0.562851\pi\) | |||||||
\(360\) | −5.65730 | + | 3.60486i | −0.298166 | + | 0.189993i | ||||
\(361\) | 9.99607 | − | 16.1579i | 0.526109 | − | 0.850417i | ||||
\(362\) | −0.591788 | − | 0.591788i | −0.0311037 | − | 0.0311037i | ||||
\(363\) | −14.6522 | + | 17.7209i | −0.769043 | + | 0.930106i | ||||
\(364\) | −2.74045 | − | 7.52932i | −0.143639 | − | 0.394644i | ||||
\(365\) | −12.7560 | + | 11.3555i | −0.667680 | + | 0.594373i | ||||
\(366\) | −12.5545 | − | 17.6561i | −0.656233 | − | 0.922900i | ||||
\(367\) | 19.9351 | − | 9.29587i | 1.04060 | − | 0.485240i | 0.174264 | − | 0.984699i | \(-0.444245\pi\) |
0.866338 | + | 0.499459i | \(0.166468\pi\) | |||||||
\(368\) | 8.12382 | + | 2.17677i | 0.423484 | + | 0.113472i | ||||
\(369\) | −14.4646 | − | 8.07410i | −0.752996 | − | 0.420321i | ||||
\(370\) | 7.31917 | − | 3.67727i | 0.380506 | − | 0.191172i | ||||
\(371\) | −3.04907 | − | 3.63374i | −0.158300 | − | 0.188654i | ||||
\(372\) | −2.88620 | + | 5.08372i | −0.149643 | + | 0.263579i | ||||
\(373\) | −4.85967 | + | 18.1365i | −0.251624 | + | 0.939073i | 0.718314 | + | 0.695719i | \(0.244914\pi\) |
−0.969938 | + | 0.243354i | \(0.921752\pi\) | |||||||
\(374\) | −3.42604 | − | 1.24698i | −0.177156 | − | 0.0644797i | ||||
\(375\) | 12.5616 | + | 14.7379i | 0.648677 | + | 0.761064i | ||||
\(376\) | 0.593585 | + | 3.36639i | 0.0306118 | + | 0.173608i | ||||
\(377\) | 25.9350 | + | 12.0937i | 1.33572 | + | 0.622857i | ||||
\(378\) | 7.07274 | − | 8.81081i | 0.363783 | − | 0.453179i | ||||
\(379\) | − | 23.3489i | − | 1.19935i | −0.800243 | − | 0.599675i | \(-0.795296\pi\) | ||
0.800243 | − | 0.599675i | \(-0.204704\pi\) | |||||||
\(380\) | 2.65455 | + | 9.37835i | 0.136175 | + | 0.481099i | ||||
\(381\) | 9.38160 | + | 9.24669i | 0.480634 | + | 0.473722i | ||||
\(382\) | 10.3413 | − | 0.904746i | 0.529106 | − | 0.0462908i | ||||
\(383\) | 10.1940 | − | 21.8611i | 0.520890 | − | 1.11705i | −0.453308 | − | 0.891354i | \(-0.649756\pi\) |
0.974197 | − | 0.225697i | \(-0.0724660\pi\) | |||||||
\(384\) | 0.983163 | − | 1.42597i | 0.0501718 | − | 0.0727687i | ||||
\(385\) | 22.2616 | − | 8.84800i | 1.13455 | − | 0.450936i | ||||
\(386\) | −9.06897 | + | 24.9168i | −0.461598 | + | 1.26823i | ||||
\(387\) | −1.07774 | + | 4.26852i | −0.0547844 | + | 0.216981i | ||||
\(388\) | 1.96666 | − | 0.526966i | 0.0998422 | − | 0.0267526i | ||||
\(389\) | 4.29805 | − | 3.60649i | 0.217920 | − | 0.182856i | −0.527292 | − | 0.849684i | \(-0.676793\pi\) |
0.745212 | + | 0.666828i | \(0.232348\pi\) | |||||||
\(390\) | 12.7060 | − | 6.49938i | 0.643396 | − | 0.329109i | ||||
\(391\) | 3.11178 | − | 5.38977i | 0.157370 | − | 0.272572i | ||||
\(392\) | −0.588055 | + | 2.19465i | −0.0297013 | + | 0.110847i | ||||
\(393\) | −21.3369 | − | 7.59146i | −1.07630 | − | 0.382939i | ||||
\(394\) | −14.9994 | − | 2.64480i | −0.755660 | − | 0.133243i | ||||
\(395\) | −1.84176 | − | 0.106980i | −0.0926691 | − | 0.00538276i | ||||
\(396\) | −13.8150 | + | 5.25605i | −0.694229 | + | 0.264127i | ||||
\(397\) | 27.0067 | − | 2.36278i | 1.35543 | − | 0.118585i | 0.613835 | − | 0.789435i | \(-0.289626\pi\) |
0.741593 | + | 0.670850i | \(0.234071\pi\) | |||||||
\(398\) | 11.7320 | − | 11.7320i | 0.588074 | − | 0.588074i | ||||
\(399\) | −9.30850 | − | 13.5220i | −0.466008 | − | 0.676945i | ||||
\(400\) | −4.46887 | − | 2.24259i | −0.223443 | − | 0.112130i | ||||
\(401\) | −4.52854 | + | 5.39691i | −0.226145 | + | 0.269509i | −0.867171 | − | 0.498010i | \(-0.834064\pi\) |
0.641027 | + | 0.767519i | \(0.278509\pi\) | |||||||
\(402\) | −1.67364 | − | 4.49671i | −0.0834737 | − | 0.224275i | ||||
\(403\) | 7.13371 | − | 10.1880i | 0.355355 | − | 0.507500i | ||||
\(404\) | 3.07291 | − | 17.4273i | 0.152883 | − | 0.867042i | ||||
\(405\) | 17.1288 | + | 10.5643i | 0.851135 | + | 0.524947i | ||||
\(406\) | 8.44271 | + | 14.6232i | 0.419005 | + | 0.725737i | ||||
\(407\) | 17.4333 | − | 4.67125i | 0.864138 | − | 0.231545i | ||||
\(408\) | −0.830944 | − | 0.975840i | −0.0411378 | − | 0.0483113i | ||||
\(409\) | 15.7306 | + | 18.7470i | 0.777830 | + | 0.926982i | 0.998833 | − | 0.0482913i | \(-0.0153776\pi\) |
−0.221003 | + | 0.975273i | \(0.570933\pi\) | |||||||
\(410\) | −0.361053 | − | 12.3419i | −0.0178311 | − | 0.609523i | ||||
\(411\) | 19.5354 | + | 5.08317i | 0.963612 | + | 0.250734i | ||||
\(412\) | 7.03800 | − | 3.28187i | 0.346737 | − | 0.161686i | ||||
\(413\) | 0.423415 | + | 0.604699i | 0.0208349 | + | 0.0297553i | ||||
\(414\) | −4.74077 | − | 24.7818i | −0.232996 | − | 1.21796i | ||||
\(415\) | −8.52921 | + | 10.7904i | −0.418682 | + | 0.529681i | ||||
\(416\) | −2.36866 | + | 2.82285i | −0.116133 | + | 0.138402i | ||||
\(417\) | 0.259232 | − | 0.00187732i | 0.0126946 | − | 9.19329e-5i | ||||
\(418\) | 1.54618 | + | 21.4207i | 0.0756259 | + | 1.04772i | ||||
\(419\) | 17.9196 | 0.875428 | 0.437714 | − | 0.899114i | \(-0.355788\pi\) | ||||
0.437714 | + | 0.899114i | \(0.355788\pi\) | |||||||
\(420\) | 8.34122 | + | 1.15884i | 0.407010 | + | 0.0565455i | ||||
\(421\) | −26.5640 | + | 9.66852i | −1.29465 | + | 0.471215i | −0.895251 | − | 0.445562i | \(-0.853004\pi\) |
−0.399401 | + | 0.916776i | \(0.630782\pi\) | |||||||
\(422\) | 10.3370 | − | 14.7627i | 0.503197 | − | 0.718639i | ||||
\(423\) | 8.31430 | − | 6.00305i | 0.404255 | − | 0.291878i | ||||
\(424\) | −0.746132 | + | 2.04998i | −0.0362354 | + | 0.0995559i | ||||
\(425\) | −2.45882 | + | 2.76471i | −0.119271 | + | 0.134108i | ||||
\(426\) | −24.9757 | + | 6.88645i | −1.21008 | + | 0.333649i | ||||
\(427\) | −2.37040 | + | 27.0937i | −0.114711 | + | 1.31116i | ||||
\(428\) | −1.16388 | + | 13.3032i | −0.0562582 | + | 0.643034i | ||||
\(429\) | 30.3157 | − | 8.35884i | 1.46366 | − | 0.403569i | ||||
\(430\) | −3.14341 | + | 0.941613i | −0.151589 | + | 0.0454086i | ||||
\(431\) | 8.63054 | − | 23.7122i | 0.415718 | − | 1.14218i | −0.538385 | − | 0.842699i | \(-0.680965\pi\) |
0.954103 | − | 0.299478i | \(-0.0968124\pi\) | |||||||
\(432\) | −5.13560 | − | 0.790926i | −0.247087 | − | 0.0380534i | ||||
\(433\) | −1.52633 | + | 2.17983i | −0.0733510 | + | 0.104756i | −0.854151 | − | 0.520025i | \(-0.825923\pi\) |
0.780800 | + | 0.624781i | \(0.214812\pi\) | |||||||
\(434\) | 6.89622 | − | 2.51002i | 0.331029 | − | 0.120485i | ||||
\(435\) | −23.9912 | + | 18.1382i | −1.15029 | + | 0.869661i | ||||
\(436\) | −6.26261 | −0.299925 | ||||||||
\(437\) | −36.4678 | − | 3.75022i | −1.74449 | − | 0.179397i | ||||
\(438\) | −13.2283 | + | 0.0957978i | −0.632073 | + | 0.00457740i | ||||
\(439\) | −18.7723 | + | 22.3719i | −0.895952 | + | 1.06775i | 0.101386 | + | 0.994847i | \(0.467672\pi\) |
−0.997339 | + | 0.0729073i | \(0.976772\pi\) | |||||||
\(440\) | −8.64310 | − | 6.83187i | −0.412044 | − | 0.325697i | ||||
\(441\) | 6.69482 | − | 1.28072i | 0.318801 | − | 0.0609866i | ||||
\(442\) | 1.56404 | + | 2.23368i | 0.0743939 | + | 0.106246i | ||||
\(443\) | −4.87997 | + | 2.27557i | −0.231854 | + | 0.108115i | −0.535074 | − | 0.844805i | \(-0.679716\pi\) |
0.303220 | + | 0.952921i | \(0.401938\pi\) | |||||||
\(444\) | 6.14027 | + | 1.59771i | 0.291404 | + | 0.0758241i | ||||
\(445\) | −9.60517 | + | 10.1841i | −0.455329 | + | 0.482772i | ||||
\(446\) | −10.2115 | − | 12.1696i | −0.483529 | − | 0.576248i | ||||
\(447\) | 11.5468 | + | 13.5603i | 0.546144 | + | 0.641378i | ||||
\(448\) | −2.10029 | + | 0.562771i | −0.0992294 | + | 0.0265884i | ||||
\(449\) | 6.57489 | + | 11.3880i | 0.310288 | + | 0.537435i | 0.978425 | − | 0.206604i | \(-0.0662410\pi\) |
−0.668136 | + | 0.744039i | \(0.732908\pi\) | |||||||
\(450\) | −0.214360 | + | 14.9985i | −0.0101050 | + | 0.707035i | ||||
\(451\) | 4.72430 | − | 26.7928i | 0.222459 | − | 1.26163i | ||||
\(452\) | 9.33251 | − | 13.3282i | 0.438965 | − | 0.626906i | ||||
\(453\) | 5.70559 | + | 15.3296i | 0.268072 | + | 0.720249i | ||||
\(454\) | 0.276077 | − | 0.329016i | 0.0129570 | − | 0.0154415i | ||||
\(455\) | −17.4343 | − | 4.12911i | −0.817332 | − | 0.193576i | ||||
\(456\) | −3.24512 | + | 6.81683i | −0.151967 | + | 0.319227i | ||||
\(457\) | 6.99650 | − | 6.99650i | 0.327283 | − | 0.327283i | −0.524270 | − | 0.851552i | \(-0.675662\pi\) |
0.851552 | + | 0.524270i | \(0.175662\pi\) | |||||||
\(458\) | 22.2713 | − | 1.94849i | 1.04067 | − | 0.0910470i | ||||
\(459\) | −1.54891 | + | 3.51930i | −0.0722970 | + | 0.164267i | ||||
\(460\) | 14.0468 | − | 12.5045i | 0.654934 | − | 0.583026i | ||||
\(461\) | −2.31685 | − | 0.408522i | −0.107906 | − | 0.0190268i | 0.119434 | − | 0.992842i | \(-0.461892\pi\) |
−0.227341 | + | 0.973815i | \(0.573003\pi\) | |||||||
\(462\) | 17.4823 | + | 6.22003i | 0.813349 | + | 0.289382i | ||||
\(463\) | 10.2542 | − | 38.2691i | 0.476551 | − | 1.77851i | −0.138864 | − | 0.990311i | \(-0.544345\pi\) |
0.615416 | − | 0.788203i | \(-0.288988\pi\) | |||||||
\(464\) | 3.88281 | − | 6.72523i | 0.180255 | − | 0.312211i | ||||
\(465\) | 5.95288 | + | 11.6377i | 0.276058 | + | 0.539683i | ||||
\(466\) | 1.75333 | − | 1.47122i | 0.0812213 | − | 0.0681528i | ||||
\(467\) | −22.9106 | + | 6.13887i | −1.06017 | + | 0.284073i | −0.746450 | − | 0.665441i | \(-0.768243\pi\) |
−0.313724 | + | 0.949514i | \(0.601577\pi\) | |||||||
\(468\) | 10.7186 | + | 2.70627i | 0.495465 | + | 0.125097i | ||||
\(469\) | −2.06012 | + | 5.66014i | −0.0951276 | + | 0.261361i | ||||
\(470\) | 7.01895 | + | 3.02637i | 0.323760 | + | 0.139596i | ||||
\(471\) | −16.7650 | + | 24.3158i | −0.772491 | + | 1.12041i | ||||
\(472\) | 0.143479 | − | 0.307691i | 0.00660414 | − | 0.0141626i | ||||
\(473\) | −7.20284 | + | 0.630167i | −0.331187 | + | 0.0289751i | ||||
\(474\) | −1.01777 | − | 1.00313i | −0.0467476 | − | 0.0460753i | ||||
\(475\) | 20.7835 | + | 6.56103i | 0.953611 | + | 0.301041i | ||||
\(476\) | 1.60901i | 0.0737487i | ||||||||
\(477\) | 6.51079 | − | 0.664768i | 0.298108 | − | 0.0304376i | ||||
\(478\) | 9.57237 | + | 4.46367i | 0.437830 | + | 0.204163i | ||||
\(479\) | 0.354826 | + | 2.01232i | 0.0162124 | + | 0.0919451i | 0.991840 | − | 0.127486i | \(-0.0406909\pi\) |
−0.975628 | + | 0.219431i | \(0.929580\pi\) | |||||||
\(480\) | −1.45652 | − | 3.58867i | −0.0664808 | − | 0.163800i | ||||
\(481\) | −12.6845 | − | 4.61677i | −0.578363 | − | 0.210507i | ||||
\(482\) | 1.38680 | − | 5.17560i | 0.0631669 | − | 0.235742i | ||||
\(483\) | −15.6383 | + | 27.5451i | −0.711567 | + | 1.25334i | ||||
\(484\) | −8.53334 | − | 10.1696i | −0.387879 | − | 0.462256i | ||||
\(485\) | 1.43136 | − | 4.32186i | 0.0649946 | − | 0.196246i | ||||
\(486\) | 4.57703 | + | 14.9014i | 0.207618 | + | 0.675940i | ||||
\(487\) | 19.8402 | + | 5.31616i | 0.899045 | + | 0.240898i | 0.678606 | − | 0.734502i | \(-0.262584\pi\) |
0.220439 | + | 0.975401i | \(0.429251\pi\) | |||||||
\(488\) | 11.3361 | − | 5.28613i | 0.513163 | − | 0.239292i | ||||
\(489\) | 20.6760 | + | 29.0779i | 0.935000 | + | 1.31495i | ||||
\(490\) | 3.37810 | + | 3.79474i | 0.152607 | + | 0.171429i | ||||
\(491\) | −3.53820 | − | 9.72113i | −0.159677 | − | 0.438708i | 0.833894 | − | 0.551925i | \(-0.186107\pi\) |
−0.993570 | + | 0.113217i | \(0.963884\pi\) | |||||||
\(492\) | 6.09446 | − | 7.37085i | 0.274760 | − | 0.332303i | ||||
\(493\) | −4.06335 | − | 4.06335i | −0.183004 | − | 0.183004i | ||||
\(494\) | 8.24186 | − | 13.7867i | 0.370819 | − | 0.620294i | ||||
\(495\) | −7.15054 | + | 32.2687i | −0.321393 | + | 1.45037i | ||||
\(496\) | −2.58549 | − | 2.16949i | −0.116092 | − | 0.0974129i | ||||
\(497\) | 29.4767 | + | 13.7452i | 1.32221 | + | 0.616557i | ||||
\(498\) | −10.4785 | + | 1.92599i | −0.469553 | + | 0.0863055i | ||||
\(499\) | 10.1905 | + | 1.79686i | 0.456189 | + | 0.0804384i | 0.397021 | − | 0.917810i | \(-0.370044\pi\) |
0.0591679 | + | 0.998248i | \(0.481155\pi\) | |||||||
\(500\) | −9.67982 | + | 5.59473i | −0.432895 | + | 0.250204i | ||||
\(501\) | 36.1585 | + | 9.40852i | 1.61544 | + | 0.420342i | ||||
\(502\) | −4.49947 | − | 16.7923i | −0.200821 | − | 0.749476i | ||||
\(503\) | 1.55828 | − | 17.8112i | 0.0694803 | − | 0.794163i | −0.878895 | − | 0.477014i | \(-0.841719\pi\) |
0.948376 | − | 0.317149i | \(-0.102726\pi\) | |||||||
\(504\) | 4.26493 | + | 4.93576i | 0.189975 | + | 0.219856i | ||||
\(505\) | −28.7863 | − | 27.1499i | −1.28097 | − | 1.20816i | ||||
\(506\) | 35.8866 | − | 20.7191i | 1.59535 | − | 0.921077i | ||||
\(507\) | −0.944900 | − | 0.336186i | −0.0419645 | − | 0.0149306i | ||||
\(508\) | −6.22979 | + | 4.36214i | −0.276402 | + | 0.193539i | ||||
\(509\) | −0.619879 | − | 3.51551i | −0.0274757 | − | 0.155822i | 0.967983 | − | 0.251015i | \(-0.0807644\pi\) |
−0.995459 | + | 0.0951928i | \(0.969653\pi\) | |||||||
\(510\) | −2.84403 | + | 0.353768i | −0.125936 | + | 0.0156651i | ||||
\(511\) | 12.7217 | + | 10.6748i | 0.562774 | + | 0.472224i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 22.6490 | − | 0.147568i | 0.999979 | − | 0.00651530i | ||||
\(514\) | − | 23.0701i | − | 1.01758i | ||||||
\(515\) | 2.51395 | − | 17.1814i | 0.110778 | − | 0.757103i | ||||
\(516\) | −2.31134 | − | 1.05749i | −0.101751 | − | 0.0465533i | ||||
\(517\) | 13.7963 | + | 9.66025i | 0.606759 | + | 0.424857i | ||||
\(518\) | −4.56856 | − | 6.52458i | −0.200731 | − | 0.286673i | ||||
\(519\) | −15.7289 | − | 33.1028i | −0.690422 | − | 1.45305i | ||||
\(520\) | 2.36446 | + | 7.89332i | 0.103688 | + | 0.346145i | ||||
\(521\) | 30.4405 | + | 17.5748i | 1.33362 | + | 0.769966i | 0.985853 | − | 0.167614i | \(-0.0536064\pi\) |
0.347768 | + | 0.937581i | \(0.386940\pi\) | |||||||
\(522\) | −23.2352 | − | 1.69412i | −1.01698 | − | 0.0741496i | ||||
\(523\) | −14.3900 | − | 1.25896i | −0.629232 | − | 0.0550507i | −0.231921 | − | 0.972735i | \(-0.574501\pi\) |
−0.397311 | + | 0.917684i | \(0.630057\pi\) | |||||||
\(524\) | 6.53766 | − | 11.3236i | 0.285599 | − | 0.494672i | ||||
\(525\) | 12.4119 | − | 14.1612i | 0.541700 | − | 0.618045i | ||||
\(526\) | 4.79554 | + | 1.74543i | 0.209095 | + | 0.0761045i | ||||
\(527\) | −2.04586 | + | 1.43253i | −0.0891193 | + | 0.0624020i | ||||
\(528\) | −1.54271 | − | 8.39325i | −0.0671378 | − | 0.365269i | ||||
\(529\) | 16.3263 | + | 44.8561i | 0.709839 | + | 1.95027i | ||||
\(530\) | 2.91360 | + | 3.91237i | 0.126559 | + | 0.169942i | ||||
\(531\) | −1.01839 | + | 0.0147509i | −0.0441944 | + | 0.000640135i | ||||
\(532\) | 8.64982 | − | 3.87442i | 0.375017 | − | 0.167978i | ||||
\(533\) | −14.3881 | + | 14.3881i | −0.623216 | + | 0.623216i | ||||
\(534\) | −10.7953 | + | 1.02329i | −0.467157 | + | 0.0442821i | ||||
\(535\) | 23.4259 | + | 18.5168i | 1.01279 | + | 0.800553i | ||||
\(536\) | 2.72808 | − | 0.481034i | 0.117835 | − | 0.0207775i | ||||
\(537\) | −4.95386 | − | 0.836556i | −0.213775 | − | 0.0361001i | ||||
\(538\) | −6.08079 | − | 13.0403i | −0.262162 | − | 0.562207i | ||||
\(539\) | 5.59727 | + | 9.69476i | 0.241092 | + | 0.417583i | ||||
\(540\) | −7.78658 | + | 8.62376i | −0.335081 | + | 0.371107i | ||||
\(541\) | −19.1021 | + | 16.0286i | −0.821265 | + | 0.689124i | −0.953268 | − | 0.302126i | \(-0.902304\pi\) |
0.132003 | + | 0.991249i | \(0.457859\pi\) | |||||||
\(542\) | 21.6752 | + | 1.89633i | 0.931030 | + | 0.0814545i | ||||
\(543\) | −1.26059 | − | 0.715679i | −0.0540970 | − | 0.0307127i | ||||
\(544\) | 0.640845 | − | 0.369992i | 0.0274760 | − | 0.0158633i | ||||
\(545\) | −7.69328 | + | 11.7011i | −0.329544 | + | 0.501219i | ||||
\(546\) | −8.04228 | − | 11.3103i | −0.344178 | − | 0.484038i | ||||
\(547\) | −10.1408 | − | 7.10067i | −0.433589 | − | 0.303603i | 0.336329 | − | 0.941744i | \(-0.390814\pi\) |
−0.769919 | + | 0.638142i | \(0.779703\pi\) | |||||||
\(548\) | −4.92534 | + | 10.5624i | −0.210400 | + | 0.451204i | ||||
\(549\) | −29.0915 | − | 23.7012i | −1.24159 | − | 1.01154i | ||||
\(550\) | −23.3823 | + | 7.75619i | −0.997023 | + | 0.330725i | ||||
\(551\) | −12.0597 | + | 31.6284i | −0.513759 | + | 1.34742i | ||||
\(552\) | 14.5669 | − | 0.105491i | 0.620007 | − | 0.00449001i | ||||
\(553\) | 0.156355 | + | 1.78714i | 0.00664889 | + | 0.0759971i | ||||
\(554\) | 26.7205 | − | 9.72548i | 1.13525 | − | 0.413196i | ||||
\(555\) | 10.5282 | − | 9.50978i | 0.446895 | − | 0.403667i | ||||
\(556\) | −0.0259902 | + | 0.147397i | −0.00110223 | + | 0.00625105i | ||||
\(557\) | −3.09740 | − | 6.64240i | −0.131241 | − | 0.281448i | 0.829695 | − | 0.558216i | \(-0.188514\pi\) |
−0.960937 | + | 0.276769i | \(0.910736\pi\) | |||||||
\(558\) | −2.47871 | + | 9.81729i | −0.104932 | + | 0.415599i | ||||
\(559\) | 4.68318 | + | 2.70383i | 0.198077 | + | 0.114360i | ||||
\(560\) | −1.52861 | + | 4.61552i | −0.0645956 | + | 0.195041i | ||||
\(561\) | −6.29471 | − | 0.504810i | −0.265763 | − | 0.0213131i | ||||
\(562\) | −0.921574 | − | 3.43936i | −0.0388743 | − | 0.145081i | ||||
\(563\) | 41.0471 | + | 10.9985i | 1.72993 | + | 0.463533i | 0.980167 | − | 0.198173i | \(-0.0635009\pi\) |
0.749763 | + | 0.661707i | \(0.230168\pi\) | |||||||
\(564\) | 2.54099 | + | 5.34772i | 0.106995 | + | 0.225180i | ||||
\(565\) | −13.4379 | − | 33.8099i | −0.565339 | − | 1.42239i | ||||
\(566\) | 6.33216 | − | 1.11653i | 0.266161 | − | 0.0469313i | ||||
\(567\) | 7.75324 | − | 17.9680i | 0.325605 | − | 0.754586i | ||||
\(568\) | −1.30366 | − | 14.9009i | −0.0547003 | − | 0.625227i | ||||
\(569\) | −25.5161 | −1.06969 | −0.534846 | − | 0.844949i | \(-0.679630\pi\) | ||||
−0.534846 | + | 0.844949i | \(0.679630\pi\) | |||||||
\(570\) | 8.75012 | + | 14.4373i | 0.366502 | + | 0.604712i | ||||
\(571\) | −11.4610 | −0.479627 | −0.239813 | − | 0.970819i | \(-0.577086\pi\) | ||||
−0.239813 | + | 0.970819i | \(0.577086\pi\) | |||||||
\(572\) | 1.58239 | + | 18.0869i | 0.0661632 | + | 0.756249i | ||||
\(573\) | 16.8508 | − | 6.27174i | 0.703950 | − | 0.262006i | ||||
\(574\) | −11.8241 | + | 2.08492i | −0.493530 | + | 0.0870227i | ||||
\(575\) | −6.10775 | − | 41.6061i | −0.254711 | − | 1.73509i | ||||
\(576\) | 0.985124 | − | 2.83364i | 0.0410468 | − | 0.118068i | ||||
\(577\) | 14.3860 | + | 3.85472i | 0.598898 | + | 0.160474i | 0.545516 | − | 0.838100i | \(-0.316334\pi\) |
0.0533811 | + | 0.998574i | \(0.483000\pi\) | |||||||
\(578\) | 4.25820 | + | 15.8918i | 0.177118 | + | 0.661013i | ||||
\(579\) | −3.67136 | + | 45.7799i | −0.152577 | + | 1.90255i | ||||
\(580\) | −7.79559 | − | 15.5162i | −0.323694 | − | 0.644276i | ||||
\(581\) | 11.5830 | + | 6.68743i | 0.480542 | + | 0.277441i | ||||
\(582\) | 3.04121 | − | 1.78533i | 0.126062 | − | 0.0740044i | ||||
\(583\) | 4.54252 | + | 9.74147i | 0.188132 | + | 0.403450i | ||||
\(584\) | 1.32625 | − | 7.52154i | 0.0548806 | − | 0.311244i | ||||
\(585\) | 18.2236 | − | 16.7020i | 0.753452 | − | 0.690545i | ||||
\(586\) | −4.42371 | + | 1.61010i | −0.182742 | + | 0.0665126i | ||||
\(587\) | 1.36901 | + | 15.6478i | 0.0565049 | + | 0.645855i | 0.970655 | + | 0.240478i | \(0.0773041\pi\) |
−0.914150 | + | 0.405377i | \(0.867140\pi\) | |||||||
\(588\) | 0.0284985 | + | 3.93524i | 0.00117526 | + | 0.162287i | ||||
\(589\) | 12.6275 | + | 7.54884i | 0.520305 | + | 0.311044i | ||||
\(590\) | −0.398634 | − | 0.646057i | −0.0164115 | − | 0.0265978i | ||||
\(591\) | −26.2628 | + | 2.48947i | −1.08031 | + | 0.102403i | ||||
\(592\) | −1.54811 | + | 3.31992i | −0.0636268 | + | 0.136448i | ||||
\(593\) | 7.22469 | + | 5.05878i | 0.296682 | + | 0.207739i | 0.712434 | − | 0.701739i | \(-0.247593\pi\) |
−0.415752 | + | 0.909478i | \(0.636482\pi\) | |||||||
\(594\) | −20.6476 | + | 15.1366i | −0.847182 | + | 0.621060i | ||||
\(595\) | 3.00627 | + | 1.97658i | 0.123245 | + | 0.0810318i | ||||
\(596\) | −8.90518 | + | 5.14141i | −0.364770 | + | 0.210600i | ||||
\(597\) | 14.1881 | − | 24.9908i | 0.580682 | − | 1.02281i | ||||
\(598\) | −30.8742 | − | 2.70114i | −1.26254 | − | 0.110458i | ||||
\(599\) | −22.1424 | + | 18.5797i | −0.904714 | + | 0.759146i | −0.971106 | − | 0.238648i | \(-0.923296\pi\) |
0.0663917 | + | 0.997794i | \(0.478851\pi\) | |||||||
\(600\) | −8.49433 | − | 1.68712i | −0.346780 | − | 0.0688765i | ||||
\(601\) | 3.46989 | + | 6.01002i | 0.141540 | + | 0.245154i | 0.928077 | − | 0.372389i | \(-0.121461\pi\) |
−0.786537 | + | 0.617543i | \(0.788128\pi\) | |||||||
\(602\) | 1.34853 | + | 2.89192i | 0.0549618 | + | 0.117866i | ||||
\(603\) | −4.86480 | − | 6.73781i | −0.198110 | − | 0.274385i | ||||
\(604\) | −9.30025 | + | 1.63989i | −0.378422 | + | 0.0667260i | ||||
\(605\) | −29.4837 | + | 3.45085i | −1.19868 | + | 0.140297i | ||||
\(606\) | −2.89243 | − | 30.5139i | −0.117497 | − | 1.23954i | ||||
\(607\) | −7.78815 | + | 7.78815i | −0.316111 | + | 0.316111i | −0.847271 | − | 0.531160i | \(-0.821756\pi\) |
0.531160 | + | 0.847271i | \(0.321756\pi\) | |||||||
\(608\) | −3.53216 | − | 2.55418i | −0.143248 | − | 0.103586i | ||||
\(609\) | 20.8295 | + | 20.5300i | 0.844056 | + | 0.831918i | ||||
\(610\) | 4.04923 | − | 27.6742i | 0.163948 | − | 1.12049i | ||||
\(611\) | −4.30823 | − | 11.8368i | −0.174292 | − | 0.478864i | ||||
\(612\) | −1.83673 | − | 1.24684i | −0.0742454 | − | 0.0504006i | ||||
\(613\) | 19.6591 | − | 13.7654i | 0.794022 | − | 0.555980i | −0.104698 | − | 0.994504i | \(-0.533387\pi\) |
0.898719 | + | 0.438524i | \(0.144499\pi\) | |||||||
\(614\) | −6.02402 | − | 2.19256i | −0.243109 | − | 0.0884846i | ||||
\(615\) | −6.28498 | − | 20.4416i | −0.253435 | − | 0.824284i | ||||
\(616\) | −5.35661 | + | 9.27791i | −0.215824 | + | 0.373818i | ||||
\(617\) | −21.4864 | − | 1.87981i | −0.865009 | − | 0.0756785i | −0.353991 | − | 0.935249i | \(-0.615176\pi\) |
−0.511018 | + | 0.859570i | \(0.670731\pi\) | |||||||
\(618\) | 10.2407 | − | 8.72012i | 0.411941 | − | 0.350775i | ||||
\(619\) | 26.8037 | + | 15.4751i | 1.07733 | + | 0.621998i | 0.930175 | − | 0.367115i | \(-0.119655\pi\) |
0.147156 | + | 0.989113i | \(0.452988\pi\) | |||||||
\(620\) | −7.22961 | + | 2.16564i | −0.290348 | + | 0.0869742i | ||||
\(621\) | −19.3252 | − | 39.1967i | −0.775494 | − | 1.57291i | ||||
\(622\) | 15.4567 | + | 22.0745i | 0.619758 | + | 0.885106i | ||||
\(623\) | 11.1510 | + | 7.80804i | 0.446757 | + | 0.312823i | ||||
\(624\) | −2.65543 | + | 5.80395i | −0.106302 | + | 0.232344i | ||||
\(625\) | −1.43794 | + | 24.9586i | −0.0575176 | + | 0.998344i | ||||
\(626\) | 19.8933i | 0.795095i | ||||||||
\(627\) | 12.4436 | + | 35.0551i | 0.496950 | + | 1.39997i | ||||
\(628\) | −12.0577 | − | 12.0577i | −0.481153 | − | 0.481153i | ||||
\(629\) | 2.07649 | + | 1.74238i | 0.0827949 | + | 0.0694732i | ||||
\(630\) | 14.4612 | − | 1.90527i | 0.576149 | − | 0.0759078i | ||||
\(631\) | 0.988036 | + | 5.60343i | 0.0393331 | + | 0.223069i | 0.998138 | − | 0.0609963i | \(-0.0194278\pi\) |
−0.958805 | + | 0.284065i | \(0.908317\pi\) | |||||||
\(632\) | 0.675841 | − | 0.473229i | 0.0268835 | − | 0.0188240i | ||||
\(633\) | 10.4635 | − | 29.4090i | 0.415885 | − | 1.16890i | ||||
\(634\) | 8.64975 | − | 4.99393i | 0.343525 | − | 0.198334i | ||||
\(635\) | 0.497275 | + | 16.9984i | 0.0197338 | + | 0.674561i | ||||
\(636\) | −0.302055 | + | 3.76646i | −0.0119772 | + | 0.149350i | ||||
\(637\) | 0.729714 | − | 8.34067i | 0.0289123 | − | 0.330469i | ||||
\(638\) | −9.90277 | − | 36.9577i | −0.392055 | − | 1.46317i | ||||
\(639\) | −38.5325 | + | 22.9972i | −1.52432 | + | 0.909754i | ||||
\(640\) | 2.18980 | − | 0.452516i | 0.0865595 | − | 0.0178873i | ||||
\(641\) | 10.7306 | + | 1.89210i | 0.423835 | + | 0.0747336i | 0.381498 | − | 0.924370i | \(-0.375408\pi\) |
0.0423375 | + | 0.999103i | \(0.486520\pi\) | |||||||
\(642\) | 4.18130 | + | 22.7487i | 0.165023 | + | 0.897821i | ||||
\(643\) | 14.2690 | + | 6.65376i | 0.562716 | + | 0.262399i | 0.683095 | − | 0.730329i | \(-0.260633\pi\) |
−0.120379 | + | 0.992728i | \(0.538411\pi\) | |||||||
\(644\) | −14.0090 | − | 11.7549i | −0.552031 | − | 0.463209i | ||||
\(645\) | −4.81517 | + | 3.01945i | −0.189597 | + | 0.118891i | ||||
\(646\) | −2.50214 | + | 2.03550i | −0.0984453 | + | 0.0800858i | ||||
\(647\) | 3.12362 | + | 3.12362i | 0.122802 | + | 0.122802i | 0.765837 | − | 0.643035i | \(-0.222325\pi\) |
−0.643035 | + | 0.765837i | \(0.722325\pi\) | |||||||
\(648\) | −8.93927 | + | 1.04375i | −0.351168 | + | 0.0410023i | ||||
\(649\) | −0.572104 | − | 1.57184i | −0.0224571 | − | 0.0617002i | ||||
\(650\) | 17.6525 | + | 5.27877i | 0.692388 | + | 0.207050i | ||||
\(651\) | 10.3593 | − | 7.36604i | 0.406014 | − | 0.288698i | ||||
\(652\) | −18.6695 | + | 8.70573i | −0.731154 | + | 0.340943i | ||||
\(653\) | 30.2523 | + | 8.10609i | 1.18387 | + | 0.317216i | 0.796458 | − | 0.604693i | \(-0.206704\pi\) |
0.387407 | + | 0.921909i | \(0.373371\pi\) | |||||||
\(654\) | −10.4569 | + | 2.88325i | −0.408899 | + | 0.112744i | ||||
\(655\) | −13.1258 | − | 26.1254i | −0.512867 | − | 1.02080i | ||||
\(656\) | 3.54936 | + | 4.22997i | 0.138579 | + | 0.165152i | ||||
\(657\) | −22.0438 | + | 6.25016i | −0.860010 | + | 0.243842i | ||||
\(658\) | 1.92373 | − | 7.17947i | 0.0749949 | − | 0.279885i | ||||
\(659\) | −15.2774 | − | 5.56052i | −0.595123 | − | 0.216607i | 0.0268584 | − | 0.999639i | \(-0.491450\pi\) |
−0.621981 | + | 0.783032i | \(0.713672\pi\) | |||||||
\(660\) | −17.5771 | − | 7.42825i | −0.684187 | − | 0.289144i | ||||
\(661\) | −0.254930 | − | 1.44578i | −0.00991563 | − | 0.0562344i | 0.979448 | − | 0.201695i | \(-0.0646448\pi\) |
−0.989364 | + | 0.145460i | \(0.953534\pi\) | |||||||
\(662\) | −4.26973 | − | 1.99101i | −0.165948 | − | 0.0773827i | ||||
\(663\) | 3.63992 | + | 3.00960i | 0.141363 | + | 0.116883i | ||||
\(664\) | − | 6.15111i | − | 0.238709i | ||||||
\(665\) | 3.38686 | − | 20.9209i | 0.131337 | − | 0.811276i | ||||
\(666\) | 10.9882 | − | 0.159159i | 0.425786 | − | 0.00616729i | ||||
\(667\) | 65.0635 | − | 5.69232i | 2.51927 | − | 0.220407i | ||||
\(668\) | −9.11640 | + | 19.5502i | −0.352724 | + | 0.756419i | ||||
\(669\) | −22.6534 | − | 15.6188i | −0.875830 | − | 0.603858i | ||||
\(670\) | 2.45253 | − | 5.68807i | 0.0947497 | − | 0.219749i | ||||
\(671\) | 21.0778 | − | 57.9108i | 0.813700 | − | 2.23562i | ||||
\(672\) | −3.24785 | + | 1.90664i | −0.125288 | + | 0.0735502i | ||||
\(673\) | −8.49582 | + | 2.27645i | −0.327490 | + | 0.0877506i | −0.418818 | − | 0.908070i | \(-0.637555\pi\) |
0.0913282 | + | 0.995821i | \(0.470889\pi\) | |||||||
\(674\) | 3.43389 | − | 2.88138i | 0.132269 | − | 0.110987i | ||||
\(675\) | 6.54724 | + | 25.1423i | 0.252003 | + | 0.967726i | ||||
\(676\) | 0.289519 | − | 0.501462i | 0.0111354 | − | 0.0192870i | ||||
\(677\) | 1.68145 | − | 6.27526i | 0.0646234 | − | 0.241178i | −0.926057 | − | 0.377383i | \(-0.876824\pi\) |
0.990681 | + | 0.136205i | \(0.0434907\pi\) | |||||||
\(678\) | 9.44670 | − | 26.5513i | 0.362798 | − | 1.01970i | ||||
\(679\) | −4.35987 | − | 0.768762i | −0.167316 | − | 0.0295024i | ||||
\(680\) | 0.0959502 | − | 1.65187i | 0.00367952 | − | 0.0633464i | ||||
\(681\) | 0.309502 | − | 0.676476i | 0.0118601 | − | 0.0259226i | ||||
\(682\) | −16.5660 | + | 1.44934i | −0.634346 | + | 0.0554981i | ||||
\(683\) | −0.683329 | + | 0.683329i | −0.0261469 | + | 0.0261469i | −0.720059 | − | 0.693912i | \(-0.755885\pi\) |
0.693912 | + | 0.720059i | \(0.255885\pi\) | |||||||
\(684\) | −2.28010 | + | 12.8764i | −0.0871817 | + | 0.492341i | ||||
\(685\) | 13.6843 | + | 22.1779i | 0.522851 | + | 0.847373i | ||||
\(686\) | 12.9592 | − | 15.4442i | 0.494786 | − | 0.589663i | ||||
\(687\) | 36.2903 | − | 13.5070i | 1.38456 | − | 0.515325i | ||||
\(688\) | 0.841718 | − | 1.20210i | 0.0320902 | − | 0.0458296i | ||||
\(689\) | 1.39595 | − | 7.91681i | 0.0531814 | − | 0.301606i | ||||
\(690\) | 17.6975 | − | 27.3463i | 0.673732 | − | 1.04106i | ||||
\(691\) | 9.93672 | + | 17.2109i | 0.378011 | + | 0.654734i | 0.990773 | − | 0.135534i | \(-0.0432749\pi\) |
−0.612762 | + | 0.790268i | \(0.709942\pi\) | |||||||
\(692\) | 20.4386 | − | 5.47652i | 0.776961 | − | 0.208186i | ||||
\(693\) | 32.0545 | + | 2.33715i | 1.21765 | + | 0.0887811i | ||||
\(694\) | 15.1714 | + | 18.0805i | 0.575898 | + | 0.686328i | ||||
\(695\) | 0.243470 | + | 0.229630i | 0.00923534 | + | 0.00871036i | ||||
\(696\) | 3.38706 | − | 13.0170i | 0.128386 | − | 0.493408i | ||||
\(697\) | 3.70324 | − | 1.72685i | 0.140270 | − | 0.0654090i | ||||
\(698\) | −19.3913 | − | 27.6936i | −0.733970 | − | 1.04822i | ||||
\(699\) | 2.25027 | − | 3.26377i | 0.0851130 | − | 0.123447i | ||||
\(700\) | 6.74582 | + | 8.52597i | 0.254968 | + | 0.322251i | ||||
\(701\) | −27.9461 | + | 33.3048i | −1.05551 | + | 1.25791i | −0.0904423 | + | 0.995902i | \(0.528828\pi\) |
−0.965067 | + | 0.262005i | \(0.915616\pi\) | |||||||
\(702\) | 19.1432 | − | 0.415956i | 0.722512 | − | 0.0156992i | ||||
\(703\) | 4.36672 | − | 15.3585i | 0.164694 | − | 0.579257i | ||||
\(704\) | 4.92702 | 0.185694 | ||||||||
\(705\) | 13.1132 | + | 1.82180i | 0.493870 | + | 0.0686128i | ||||
\(706\) | 24.0396 | − | 8.74970i | 0.904742 | − | 0.329299i | ||||
\(707\) | −22.0702 | + | 31.5195i | −0.830035 | + | 1.18541i | ||||
\(708\) | 0.0979141 | − | 0.579821i | 0.00367984 | − | 0.0217910i | ||||
\(709\) | −6.48650 | + | 17.8215i | −0.243606 | + | 0.669301i | 0.756281 | + | 0.654247i | \(0.227014\pi\) |
−0.999887 | + | 0.0150539i | \(0.995208\pi\) | |||||||
\(710\) | −29.4423 | − | 15.8692i | −1.10495 | − | 0.595559i | ||||
\(711\) | −2.16124 | − | 1.20640i | −0.0810529 | − | 0.0452435i | ||||
\(712\) | 0.545647 | − | 6.23677i | 0.0204490 | − | 0.233733i | ||||
\(713\) | 2.47402 | − | 28.2781i | 0.0926526 | − | 1.05902i | ||||
\(714\) | 0.740774 | + | 2.68663i | 0.0277228 | + | 0.100545i | ||||
\(715\) | 35.7374 | + | 19.2622i | 1.33650 | + | 0.720365i | ||||
\(716\) | 0.992067 | − | 2.72568i | 0.0370753 | − | 0.101863i | ||||
\(717\) | 18.0384 | + | 3.04614i | 0.673657 | + | 0.113760i | ||||
\(718\) | −10.4335 | + | 14.9005i | −0.389374 | + | 0.556083i | ||||
\(719\) | 27.7799 | − | 10.1111i | 1.03602 | − | 0.377079i | 0.232648 | − | 0.972561i | \(-0.425261\pi\) |
0.803369 | + | 0.595482i | \(0.203039\pi\) | |||||||
\(720\) | −4.08421 | − | 5.32158i | −0.152209 | − | 0.198324i | ||||
\(721\) | −16.8853 | −0.628842 | ||||||||
\(722\) | 16.9677 | + | 8.54978i | 0.631471 | + | 0.318190i | ||||
\(723\) | −0.0672074 | − | 9.28039i | −0.00249947 | − | 0.345141i | ||||
\(724\) | 0.537958 | − | 0.641113i | 0.0199931 | − | 0.0238268i | ||||
\(725\) | −38.5670 | − | 4.49555i | −1.43234 | − | 0.166961i | ||||
\(726\) | −18.9305 | − | 13.0520i | −0.702577 | − | 0.484405i | ||||
\(727\) | −16.8684 | − | 24.0906i | −0.625615 | − | 0.893470i | 0.373806 | − | 0.927507i | \(-0.378053\pi\) |
−0.999421 | + | 0.0340367i | \(0.989164\pi\) | |||||||
\(728\) | 7.26182 | − | 3.38624i | 0.269141 | − | 0.125503i | ||||
\(729\) | 14.5029 | + | 22.7742i | 0.537145 | + | 0.843490i | ||||
\(730\) | −12.4240 | − | 11.7178i | −0.459834 | − | 0.433694i | ||||
\(731\) | −0.698016 | − | 0.831863i | −0.0258171 | − | 0.0307676i | ||||
\(732\) | 16.4947 | − | 14.0455i | 0.609663 | − | 0.519138i | ||||
\(733\) | −12.4556 | + | 3.33746i | −0.460057 | + | 0.123272i | −0.481401 | − | 0.876500i | \(-0.659872\pi\) |
0.0213443 | + | 0.999772i | \(0.493205\pi\) | |||||||
\(734\) | 10.9980 | + | 19.0490i | 0.405942 | + | 0.703112i | ||||
\(735\) | 7.38761 | + | 4.78098i | 0.272496 | + | 0.176349i | ||||
\(736\) | −1.46045 | + | 8.28263i | −0.0538329 | + | 0.305302i | ||||
\(737\) | 7.82855 | − | 11.1803i | 0.288368 | − | 0.411833i | ||||
\(738\) | 6.78270 | − | 15.1133i | 0.249675 | − | 0.556326i | ||||
\(739\) | 27.2595 | − | 32.4866i | 1.00276 | − | 1.19504i | 0.0220113 | − | 0.999758i | \(-0.492993\pi\) |
0.980747 | − | 0.195283i | \(-0.0625625\pi\) | |||||||
\(740\) | 4.30118 | + | 6.97083i | 0.158115 | + | 0.256253i | ||||
\(741\) | 7.41449 | − | 26.8147i | 0.272378 | − | 0.985064i | ||||
\(742\) | 3.35417 | − | 3.35417i | 0.123135 | − | 0.123135i | ||||
\(743\) | −30.3735 | + | 2.65734i | −1.11430 | + | 0.0974882i | −0.629398 | − | 0.777083i | \(-0.716698\pi\) |
−0.484897 | + | 0.874571i | \(0.661143\pi\) | |||||||
\(744\) | −5.31592 | − | 2.43215i | −0.194891 | − | 0.0891668i | ||||
\(745\) | −1.33332 | + | 22.9544i | −0.0488491 | + | 0.840983i | ||||
\(746\) | −18.4910 | − | 3.26047i | −0.677005 | − | 0.119374i | ||||
\(747\) | −16.6097 | + | 8.04012i | −0.607717 | + | 0.294172i | ||||
\(748\) | 0.943633 | − | 3.52169i | 0.0345026 | − | 0.128766i | ||||
\(749\) | 14.5183 | − | 25.1465i | 0.530489 | − | 0.918833i | ||||
\(750\) | −13.5870 | + | 13.7983i | −0.496129 | + | 0.503842i | ||||
\(751\) | −40.8950 | + | 34.3149i | −1.49228 | + | 1.25217i | −0.600559 | + | 0.799580i | \(0.705055\pi\) |
−0.891719 | + | 0.452590i | \(0.850500\pi\) | |||||||
\(752\) | −3.30184 | + | 0.884727i | −0.120406 | + | 0.0322627i | ||||
\(753\) | −15.2440 | − | 25.9672i | −0.555522 | − | 0.946299i | ||||
\(754\) | −9.78729 | + | 26.8904i | −0.356432 | + | 0.979289i | ||||
\(755\) | −8.36089 | + | 19.3911i | −0.304284 | + | 0.705714i | ||||
\(756\) | 9.39371 | + | 6.27792i | 0.341646 | + | 0.228326i | ||||
\(757\) | 0.233156 | − | 0.500005i | 0.00847420 | − | 0.0181730i | −0.902025 | − | 0.431684i | \(-0.857920\pi\) |
0.910499 | + | 0.413511i | \(0.135698\pi\) | |||||||
\(758\) | 23.2600 | − | 2.03499i | 0.844842 | − | 0.0739141i | ||||
\(759\) | 50.3824 | − | 51.1174i | 1.82876 | − | 1.85545i | ||||
\(760\) | −9.11130 | + | 3.46182i | −0.330502 | + | 0.125574i | ||||
\(761\) | 1.00258i | 0.0363436i | 0.999835 | + | 0.0181718i | \(0.00578458\pi\) | ||||
−0.999835 | + | 0.0181718i | \(0.994215\pi\) | |||||||
\(762\) | −8.39385 | + | 10.1518i | −0.304077 | + | 0.367761i | ||||
\(763\) | 12.3415 | + | 5.75492i | 0.446791 | + | 0.208342i | ||||
\(764\) | 1.80261 | + | 10.2231i | 0.0652160 | + | 0.369858i | ||||
\(765\) | −4.58593 | + | 1.90007i | −0.165804 | + | 0.0686971i | ||||
\(766\) | 22.6664 | + | 8.24990i | 0.818970 | + | 0.298081i | ||||
\(767\) | −0.323795 | + | 1.20842i | −0.0116916 | + | 0.0436335i | ||||
\(768\) | 1.50623 | + | 0.855140i | 0.0543515 | + | 0.0308572i | ||||
\(769\) | −26.1803 | − | 31.2004i | −0.944084 | − | 1.12512i | −0.991997 | − | 0.126264i | \(-0.959701\pi\) |
0.0479127 | − | 0.998852i | \(-0.484743\pi\) | |||||||
\(770\) | 10.7546 | + | 21.4057i | 0.387567 | + | 0.771408i | ||||
\(771\) | −10.6213 | − | 38.5211i | −0.382516 | − | 1.38730i | ||||
\(772\) | −25.6124 | − | 6.86282i | −0.921810 | − | 0.246998i | ||||
\(773\) | 9.92424 | − | 4.62775i | 0.356950 | − | 0.166449i | −0.235868 | − | 0.971785i | \(-0.575793\pi\) |
0.592818 | + | 0.805337i | \(0.298015\pi\) | |||||||
\(774\) | −4.34621 | − | 0.701609i | −0.156221 | − | 0.0252188i | ||||
\(775\) | −4.83490 | + | 16.1682i | −0.173675 | + | 0.580778i | ||||
\(776\) | 0.696367 | + | 1.91325i | 0.0249981 | + | 0.0686817i | ||||
\(777\) | −10.6322 | − | 8.79104i | −0.381427 | − | 0.315377i | ||||
\(778\) | 3.96737 | + | 3.96737i | 0.142237 | + | 0.142237i | ||||
\(779\) | −18.2006 | − | 15.7500i | −0.652103 | − | 0.564301i | ||||
\(780\) | 7.58205 | + | 12.0912i | 0.271481 | + | 0.432936i | ||||
\(781\) | −56.4555 | − | 47.3718i | −2.02014 | − | 1.69510i | ||||
\(782\) | 5.64047 | + | 2.63019i | 0.201703 | + | 0.0940555i | ||||
\(783\) | −39.5767 | + | 7.86854i | −1.41436 | + | 0.281199i | ||||
\(784\) | −2.23755 | − | 0.394541i | −0.0799126 | − | 0.0140908i | ||||
\(785\) | −37.3407 | + | 7.71636i | −1.33275 | + | 0.275409i | ||||
\(786\) | 5.70294 | − | 21.9173i | 0.203417 | − | 0.781765i | ||||
\(787\) | −1.55895 | − | 5.81806i | −0.0555704 | − | 0.207392i | 0.932558 | − | 0.361019i | \(-0.117571\pi\) |
−0.988129 | + | 0.153628i | \(0.950904\pi\) | |||||||
\(788\) | 1.32745 | − | 15.1728i | 0.0472885 | − | 0.540510i | ||||
\(789\) | 8.81090 | + | 0.706599i | 0.313676 | + | 0.0251556i | ||||
\(790\) | −0.0539471 | − | 1.84408i | −0.00191935 | − | 0.0656094i | ||||
\(791\) | −30.6389 | + | 17.6894i | −1.08939 | + | 0.628962i | ||||
\(792\) | −6.44011 | − | 13.3043i | −0.228839 | − | 0.472748i | ||||
\(793\) | −37.7562 | + | 26.4372i | −1.34076 | + | 0.938812i | ||||
\(794\) | 4.70758 | + | 26.6980i | 0.167066 | + | 0.947477i | ||||
\(795\) | 6.66619 | + | 5.19125i | 0.236425 | + | 0.184115i | ||||
\(796\) | 12.7099 | + | 10.6649i | 0.450491 | + | 0.378007i | ||||
\(797\) | −4.18521 | − | 4.18521i | −0.148248 | − | 0.148248i | 0.629087 | − | 0.777335i | \(-0.283429\pi\) |
−0.777335 | + | 0.629087i | \(0.783429\pi\) | |||||||
\(798\) | 12.6592 | − | 10.4516i | 0.448132 | − | 0.369983i | ||||
\(799\) | 2.52950i | 0.0894875i | ||||||||
\(800\) | 1.84457 | − | 4.64732i | 0.0652154 | − | 0.164307i | ||||
\(801\) | −17.5542 | + | 6.67868i | −0.620248 | + | 0.235980i | ||||
\(802\) | −5.77106 | − | 4.04094i | −0.203783 | − | 0.142691i | ||||
\(803\) | −21.5840 | − | 30.8251i | −0.761681 | − | 1.08779i | ||||
\(804\) | 4.33373 | − | 2.05919i | 0.152839 | − | 0.0726220i | ||||
\(805\) | −39.1722 | + | 11.7341i | −1.38064 | + | 0.413572i | ||||
\(806\) | 10.7710 | + | 6.21862i | 0.379391 | + | 0.219042i | ||||
\(807\) | −16.1570 | − | 18.9744i | −0.568753 | − | 0.667931i | ||||
\(808\) | 17.6288 | + | 1.54232i | 0.620180 | + | 0.0542587i | ||||
\(809\) | −15.8125 | + | 27.3880i | −0.555936 | + | 0.962910i | 0.441894 | + | 0.897067i | \(0.354307\pi\) |
−0.997830 | + | 0.0658424i | \(0.979027\pi\) | |||||||
\(810\) | −9.03128 | + | 17.9843i | −0.317327 | + | 0.631905i | ||||
\(811\) | 48.2076 | + | 17.5461i | 1.69280 | + | 0.616128i | 0.994973 | − | 0.100142i | \(-0.0319296\pi\) |
0.697824 | + | 0.716269i | \(0.254152\pi\) | |||||||
\(812\) | −13.8317 | + | 9.68508i | −0.485398 | + | 0.339880i | ||||
\(813\) | 37.0651 | − | 6.81269i | 1.29993 | − | 0.238931i | ||||
\(814\) | 6.17289 | + | 16.9599i | 0.216360 | + | 0.594443i | ||||
\(815\) | −6.66868 | + | 45.5766i | −0.233594 | + | 1.59648i | ||||
\(816\) | 0.899705 | − | 0.912832i | 0.0314960 | − | 0.0319555i | ||||
\(817\) | −2.79120 | + | 5.75554i | −0.0976517 | + | 0.201361i | ||||
\(818\) | −17.3047 | + | 17.3047i | −0.605044 | + | 0.605044i | ||||
\(819\) | −18.6357 | − | 15.1828i | −0.651185 | − | 0.530529i | ||||
\(820\) | 12.2635 | − | 1.43535i | 0.428259 | − | 0.0501245i | ||||
\(821\) | −12.1860 | + | 2.14871i | −0.425293 | + | 0.0749906i | −0.382198 | − | 0.924080i | \(-0.624833\pi\) |
−0.0430946 | + | 0.999071i | \(0.513722\pi\) | |||||||
\(822\) | −3.36120 | + | 19.9041i | −0.117235 | + | 0.694236i | ||||
\(823\) | 4.93443 | + | 10.5819i | 0.172003 | + | 0.368863i | 0.973345 | − | 0.229344i | \(-0.0736580\pi\) |
−0.801342 | + | 0.598206i | \(0.795880\pi\) | |||||||
\(824\) | 3.88279 | + | 6.72518i | 0.135263 | + | 0.234283i | ||||
\(825\) | −35.4715 | + | 23.7158i | −1.23496 | + | 0.825679i | ||||
\(826\) | −0.565495 | + | 0.474506i | −0.0196761 | + | 0.0165102i | ||||
\(827\) | −45.2076 | − | 3.95515i | −1.57202 | − | 0.137534i | −0.732464 | − | 0.680806i | \(-0.761630\pi\) |
−0.839557 | + | 0.543272i | \(0.817185\pi\) | |||||||
\(828\) | 24.2743 | − | 6.88260i | 0.843592 | − | 0.239187i | ||||
\(829\) | −7.66900 | + | 4.42770i | −0.266355 | + | 0.153780i | −0.627230 | − | 0.778834i | \(-0.715811\pi\) |
0.360875 | + | 0.932614i | \(0.382478\pi\) | |||||||
\(830\) | −11.4927 | − | 7.55631i | −0.398919 | − | 0.262283i | ||||
\(831\) | 40.1389 | − | 28.5410i | 1.39240 | − | 0.990075i | ||||
\(832\) | −3.01855 | − | 2.11361i | −0.104650 | − | 0.0732764i | ||||
\(833\) | −0.710547 | + | 1.52377i | −0.0246190 | + | 0.0527956i | ||||
\(834\) | 0.0244637 | + | 0.258081i | 0.000847109 | + | 0.00893663i | ||||
\(835\) | 25.3286 | + | 41.0494i | 0.876531 | + | 1.42057i | ||||
\(836\) | −21.2044 | + | 3.40722i | −0.733369 | + | 0.117841i | ||||
\(837\) | 0.380980 | + | 17.5335i | 0.0131686 | + | 0.606047i | ||||
\(838\) | 1.56179 | + | 17.8514i | 0.0539512 | + | 0.616666i | ||||
\(839\) | 2.44304 | − | 0.889196i | 0.0843433 | − | 0.0306984i | −0.299504 | − | 0.954095i | \(-0.596821\pi\) |
0.383847 | + | 0.923397i | \(0.374599\pi\) | |||||||
\(840\) | −0.427442 | + | 8.41048i | −0.0147481 | + | 0.290189i | ||||
\(841\) | 5.43604 | − | 30.8293i | 0.187450 | − | 1.06308i | ||||
\(842\) | −11.9469 | − | 25.6203i | −0.411719 | − | 0.882933i | ||||
\(843\) | −3.12224 | − | 5.31856i | −0.107536 | − | 0.183181i | ||||
\(844\) | 15.6075 | + | 9.01099i | 0.537232 | + | 0.310171i | ||||
\(845\) | −0.581273 | − | 1.15696i | −0.0199964 | − | 0.0398005i | ||||
\(846\) | 6.70485 | + | 7.75947i | 0.230517 | + | 0.266776i | ||||
\(847\) | 7.47108 | + | 27.8824i | 0.256709 | + | 0.958052i | ||||
\(848\) | −2.10721 | − | 0.564626i | −0.0723619 | − | 0.0193893i | ||||
\(849\) | 10.0590 | − | 4.77959i | 0.345225 | − | 0.164035i | ||||
\(850\) | −2.96849 | − | 2.20851i | −0.101818 | − | 0.0757512i | ||||
\(851\) | −30.3403 | + | 5.34982i | −1.04005 | + | 0.183390i | ||||
\(852\) | −9.03701 | − | 24.2804i | −0.309603 | − | 0.831834i | ||||
\(853\) | −2.31637 | − | 26.4762i | −0.0793110 | − | 0.906529i | −0.926761 | − | 0.375653i | \(-0.877419\pi\) |
0.847450 | − | 0.530876i | \(-0.178137\pi\) | |||||||
\(854\) | −27.1972 | −0.930670 | ||||||||
\(855\) | 21.2573 | + | 20.0781i | 0.726983 | + | 0.686656i | ||||
\(856\) | −13.3540 | −0.456430 | ||||||||
\(857\) | −0.285169 | − | 3.25950i | −0.00974120 | − | 0.111342i | 0.989767 | − | 0.142691i | \(-0.0455754\pi\) |
−0.999509 | + | 0.0313484i | \(0.990020\pi\) | |||||||
\(858\) | 10.9692 | + | 29.4719i | 0.374483 | + | 1.00615i | ||||
\(859\) | −24.9957 | + | 4.40742i | −0.852843 | + | 0.150379i | −0.582947 | − | 0.812510i | \(-0.698100\pi\) |
−0.269896 | + | 0.962890i | \(0.586989\pi\) | |||||||
\(860\) | −1.21200 | − | 3.04938i | −0.0413287 | − | 0.103983i | ||||
\(861\) | −18.7834 | + | 8.92501i | −0.640137 | + | 0.304164i | ||||
\(862\) | 24.3742 | + | 6.53104i | 0.830188 | + | 0.222448i | ||||
\(863\) | 13.4864 | + | 50.3320i | 0.459083 | + | 1.71332i | 0.675798 | + | 0.737087i | \(0.263799\pi\) |
−0.216715 | + | 0.976235i | \(0.569534\pi\) | |||||||
\(864\) | 0.340318 | − | 5.18500i | 0.0115779 | − | 0.176397i | ||||
\(865\) | 14.8754 | − | 44.9152i | 0.505780 | − | 1.52716i | ||||
\(866\) | −2.30457 | − | 1.33054i | −0.0783123 | − | 0.0452136i | ||||
\(867\) | 14.4266 | + | 24.5748i | 0.489952 | + | 0.834604i | ||||
\(868\) | 3.10151 | + | 6.65121i | 0.105272 | + | 0.225757i | ||||
\(869\) | 0.705886 | − | 4.00328i | 0.0239455 | − | 0.135802i | ||||
\(870\) | −20.1602 | − | 22.3191i | −0.683494 | − | 0.756687i | ||||
\(871\) | −9.59237 | + | 3.49134i | −0.325025 | + | 0.118299i | ||||
\(872\) | −0.545823 | − | 6.23878i | −0.0184839 | − | 0.211272i | ||||
\(873\) | 4.25609 | − | 4.38119i | 0.144047 | − | 0.148281i | ||||
\(874\) | 0.557575 | − | 36.6559i | 0.0188602 | − | 1.23990i | ||||
\(875\) | 24.2168 | − | 2.13020i | 0.818677 | − | 0.0720137i | ||||
\(876\) | −1.24836 | − | 13.1696i | −0.0421781 | − | 0.444961i | ||||
\(877\) | 0.684650 | − | 1.46824i | 0.0231190 | − | 0.0495789i | −0.894409 | − | 0.447250i | \(-0.852404\pi\) |
0.917528 | + | 0.397671i | \(0.130181\pi\) | |||||||
\(878\) | −23.9229 | − | 16.7510i | −0.807359 | − | 0.565319i | ||||
\(879\) | −6.64518 | + | 4.72509i | −0.224136 | + | 0.159373i | ||||
\(880\) | 6.05258 | − | 9.20565i | 0.204032 | − | 0.310322i | ||||
\(881\) | −5.27375 | + | 3.04480i | −0.177677 | + | 0.102582i | −0.586201 | − | 0.810166i | \(-0.699377\pi\) |
0.408524 | + | 0.912748i | \(0.366044\pi\) | |||||||
\(882\) | 1.85934 | + | 6.55772i | 0.0626071 | + | 0.220810i | ||||
\(883\) | −35.1444 | − | 3.07474i | −1.18270 | − | 0.103473i | −0.521213 | − | 0.853427i | \(-0.674520\pi\) |
−0.661490 | + | 0.749954i | \(0.730076\pi\) | |||||||
\(884\) | −2.08887 | + | 1.75277i | −0.0702563 | + | 0.0589520i | ||||
\(885\) | −0.963056 | − | 0.895222i | −0.0323728 | − | 0.0300925i | ||||
\(886\) | −2.69222 | − | 4.66307i | −0.0904470 | − | 0.156659i | ||||
\(887\) | 17.8214 | + | 38.2181i | 0.598383 | + | 1.28324i | 0.939285 | + | 0.343138i | \(0.111490\pi\) |
−0.340901 | + | 0.940099i | \(0.610732\pi\) | |||||||
\(888\) | −1.05647 | + | 6.25615i | −0.0354529 | + | 0.209943i | ||||
\(889\) | 16.2853 | − | 2.87154i | 0.546191 | − | 0.0963083i | ||||
\(890\) | −10.9825 | − | 8.68102i | −0.368134 | − | 0.290988i | ||||
\(891\) | −27.5075 | + | 34.7801i | −0.921534 | + | 1.16518i | ||||
\(892\) | 11.2333 | − | 11.2333i | 0.376119 | − | 0.376119i | ||||
\(893\) | 13.5983 | − | 6.09095i | 0.455050 | − | 0.203826i | ||||
\(894\) | −12.5023 | + | 12.6847i | −0.418139 | + | 0.424240i | ||||
\(895\) | −3.87396 | − | 5.20193i | −0.129492 | − | 0.173881i | ||||
\(896\) | −0.743682 | − | 2.04325i | −0.0248447 | − | 0.0682602i | ||||
\(897\) | −52.7955 | + | 9.70400i | −1.76279 | + | 0.324007i | ||||
\(898\) | −10.7717 | + | 7.54241i | −0.359455 | + | 0.251693i | ||||
\(899\) | −24.6293 | − | 8.96433i | −0.821433 | − | 0.298977i | ||||
\(900\) | −14.9601 | + | 1.09366i | −0.498669 | + | 0.0364553i | ||||
\(901\) | −0.807155 | + | 1.39803i | −0.0268902 | + | 0.0465752i | ||||
\(902\) | 27.1026 | + | 2.37117i | 0.902419 | + | 0.0789514i | ||||
\(903\) | 3.58311 | + | 4.20791i | 0.119238 | + | 0.140031i | ||||
\(904\) | 14.0909 | + | 8.13537i | 0.468656 | + | 0.270578i | ||||
\(905\) | −0.537004 | − | 1.79269i | −0.0178506 | − | 0.0595912i | ||||
\(906\) | −14.7740 | + | 7.01994i | −0.490834 | + | 0.233222i | ||||
\(907\) | −7.21614 | − | 10.3057i | −0.239608 | − | 0.342195i | 0.681280 | − | 0.732023i | \(-0.261424\pi\) |
−0.920888 | + | 0.389827i | \(0.872535\pi\) | |||||||
\(908\) | 0.351826 | + | 0.246351i | 0.0116758 | + | 0.00817545i | ||||
\(909\) | −18.8779 | − | 49.6187i | −0.626142 | − | 1.64575i | ||||
\(910\) | 2.59390 | − | 17.7278i | 0.0859869 | − | 0.587671i | ||||
\(911\) | 40.3776i | 1.33777i | 0.743366 | + | 0.668885i | \(0.233228\pi\) | ||||
−0.743366 | + | 0.668885i | \(0.766772\pi\) | |||||||
\(912\) | −7.07372 | − | 2.63864i | −0.234234 | − | 0.0873742i | ||||
\(913\) | −21.4300 | − | 21.4300i | −0.709231 | − | 0.709231i | ||||
\(914\) | 7.57966 | + | 6.36009i | 0.250713 | + | 0.210373i | ||||
\(915\) | −5.97979 | − | 48.0730i | −0.197686 | − | 1.58924i | ||||
\(916\) | 3.88215 | + | 22.0168i | 0.128270 | + | 0.727455i | ||||
\(917\) | −23.2891 | + | 16.3072i | −0.769074 | + | 0.538511i | ||||
\(918\) | −3.64090 | − | 1.23629i | −0.120168 | − | 0.0408037i | ||||
\(919\) | 17.5071 | − | 10.1077i | 0.577507 | − | 0.333424i | −0.182635 | − | 0.983181i | \(-0.558463\pi\) |
0.760142 | + | 0.649757i | \(0.225129\pi\) | |||||||
\(920\) | 13.6812 | + | 12.9035i | 0.451055 | + | 0.425415i | ||||
\(921\) | −11.0680 | − | 0.887608i | −0.364703 | − | 0.0292477i | ||||
\(922\) | 0.205041 | − | 2.34363i | 0.00675268 | − | 0.0771835i | ||||
\(923\) | 14.2659 | + | 53.2410i | 0.469567 | + | 1.75245i | ||||
\(924\) | −4.67268 | + | 17.9579i | −0.153720 | + | 0.590770i | ||||
\(925\) | 18.3081 | + | 0.526954i | 0.601966 | + | 0.0173261i | ||||
\(926\) | 39.0171 | + | 6.87978i | 1.28218 | + | 0.226083i | ||||
\(927\) | 13.0847 | − | 19.2751i | 0.429757 | − | 0.633077i | ||||
\(928\) | 7.03804 | + | 3.28189i | 0.231035 | + | 0.107733i | ||||
\(929\) | −13.9705 | − | 11.7226i | −0.458356 | − | 0.384607i | 0.384169 | − | 0.923263i | \(-0.374488\pi\) |
−0.842526 | + | 0.538656i | \(0.818932\pi\) | |||||||
\(930\) | −11.0745 | + | 6.94452i | −0.363149 | + | 0.227720i | ||||
\(931\) | 9.90259 | + | 0.150629i | 0.324544 | + | 0.00493666i | ||||
\(932\) | 1.61843 | + | 1.61843i | 0.0530134 | + | 0.0530134i | ||||
\(933\) | 35.9717 | + | 29.7426i | 1.17766 | + | 0.973728i | ||||
\(934\) | −8.11230 | − | 22.2884i | −0.265442 | − | 0.729297i | ||||
\(935\) | −5.42072 | − | 6.08929i | −0.177276 | − | 0.199141i | ||||
\(936\) | −1.76179 | + | 10.9136i | −0.0575859 | + | 0.356723i | ||||
\(937\) | −48.0519 | + | 22.4069i | −1.56979 | + | 0.732003i | −0.996196 | − | 0.0871397i | \(-0.972227\pi\) |
−0.573590 | + | 0.819143i | \(0.694450\pi\) | |||||||
\(938\) | −5.81815 | − | 1.55897i | −0.189969 | − | 0.0509021i | ||||
\(939\) | 9.15869 | + | 33.2166i | 0.298883 | + | 1.08398i | ||||
\(940\) | −2.40311 | + | 7.25601i | −0.0783809 | + | 0.236665i | ||||
\(941\) | 1.41435 | + | 1.68556i | 0.0461066 | + | 0.0549477i | 0.788605 | − | 0.614900i | \(-0.210804\pi\) |
−0.742498 | + | 0.669848i | \(0.766359\pi\) | |||||||
\(942\) | −25.6844 | − | 14.5820i | −0.836845 | − | 0.475106i | ||||
\(943\) | −12.0198 | + | 44.8584i | −0.391417 | + | 1.46079i | ||||
\(944\) | 0.319025 | + | 0.116116i | 0.0103834 | + | 0.00377924i | ||||
\(945\) | 23.2693 | − | 9.83913i | 0.756951 | − | 0.320067i | ||||
\(946\) | −1.25554 | − | 7.12051i | −0.0408211 | − | 0.231508i | ||||
\(947\) | 7.31005 | + | 3.40873i | 0.237545 | + | 0.110769i | 0.537746 | − | 0.843107i | \(-0.319276\pi\) |
−0.300201 | + | 0.953876i | \(0.597054\pi\) | |||||||
\(948\) | 0.910610 | − | 1.10132i | 0.0295752 | − | 0.0357693i | ||||
\(949\) | 28.1443i | 0.913601i | ||||||||
\(950\) | −4.72467 | + | 21.2762i | −0.153288 | + | 0.690292i | ||||
\(951\) | 12.1437 | − | 12.3209i | 0.393786 | − | 0.399531i | ||||
\(952\) | −1.60288 | + | 0.140234i | −0.0519498 | + | 0.00454502i | ||||
\(953\) | 11.5065 | − | 24.6757i | 0.372731 | − | 0.799323i | −0.627062 | − | 0.778969i | \(-0.715743\pi\) |
0.999793 | − | 0.0203542i | \(-0.00647938\pi\) | |||||||
\(954\) | 1.22969 | + | 6.42807i | 0.0398127 | + | 0.208117i | ||||
\(955\) | 21.3152 | + | 9.19052i | 0.689744 | + | 0.297398i | ||||
\(956\) | −3.61240 | + | 9.92498i | −0.116833 | + | 0.320997i | ||||
\(957\) | −33.5501 | − | 57.1506i | −1.08452 | − | 1.84742i | ||||
\(958\) | −1.97373 | + | 0.528861i | −0.0637685 | + | 0.0170867i | ||||
\(959\) | 19.4123 | − | 16.2889i | 0.626856 | − | 0.525995i | ||||
\(960\) | 3.44807 | − | 1.76375i | 0.111286 | − | 0.0569248i | ||||
\(961\) | 9.80427 | − | 16.9815i | 0.316267 | − | 0.547790i | ||||
\(962\) | 3.49368 | − | 13.0386i | 0.112641 | − | 0.420381i | ||||
\(963\) | 17.4550 | + | 36.0595i | 0.562480 | + | 1.16200i | ||||
\(964\) | 5.27677 | + | 0.930437i | 0.169953 | + | 0.0299674i | ||||
\(965\) | −44.2859 | + | 39.4236i | −1.42561 | + | 1.26909i | ||||
\(966\) | −28.8032 | − | 13.1781i | −0.926729 | − | 0.423998i | ||||
\(967\) | 14.2923 | − | 1.25042i | 0.459611 | − | 0.0402108i | 0.145000 | − | 0.989432i | \(-0.453682\pi\) |
0.314611 | + | 0.949221i | \(0.398126\pi\) | |||||||
\(968\) | 9.38721 | − | 9.38721i | 0.301716 | − | 0.301716i | ||||
\(969\) | −3.24080 | + | 4.55073i | −0.104109 | + | 0.146190i | ||||
\(970\) | 4.43017 | + | 1.04923i | 0.142244 | + | 0.0336889i | ||||
\(971\) | 23.4843 | − | 27.9874i | 0.753645 | − | 0.898160i | −0.243783 | − | 0.969830i | \(-0.578388\pi\) |
0.997428 | + | 0.0716701i | \(0.0228329\pi\) | |||||||
\(972\) | −14.4457 | + | 5.85835i | −0.463348 | + | 0.187907i | ||||
\(973\) | 0.186666 | − | 0.266587i | 0.00598424 | − | 0.00854638i | ||||
\(974\) | −3.56675 | + | 20.2280i | −0.114286 | + | 0.648148i | ||||
\(975\) | 31.9054 | + | 0.687123i | 1.02179 | + | 0.0220055i | ||||
\(976\) | 6.25402 | + | 10.8323i | 0.200186 | + | 0.346733i | ||||
\(977\) | −31.4189 | + | 8.41867i | −1.00518 | + | 0.269337i | −0.723614 | − | 0.690205i | \(-0.757521\pi\) |
−0.281566 | + | 0.959542i | \(0.590854\pi\) | |||||||
\(978\) | −27.1652 | + | 23.1316i | −0.868648 | + | 0.739667i | ||||
\(979\) | −19.8275 | − | 23.6295i | −0.633689 | − | 0.755201i | ||||
\(980\) | −3.48587 | + | 3.69597i | −0.111352 | + | 0.118064i | ||||
\(981\) | −16.1330 | + | 9.62858i | −0.515087 | + | 0.307417i | ||||
\(982\) | 9.37576 | − | 4.37199i | 0.299192 | − | 0.139516i | ||||
\(983\) | −26.4156 | − | 37.7254i | −0.842526 | − | 1.20325i | −0.977191 | − | 0.212361i | \(-0.931885\pi\) |
0.134665 | − | 0.990891i | \(-0.457004\pi\) | |||||||
\(984\) | 7.87396 | + | 5.42886i | 0.251013 | + | 0.173066i | ||||
\(985\) | −26.7183 | − | 21.1192i | −0.851314 | − | 0.672915i | ||||
\(986\) | 3.69374 | − | 4.40203i | 0.117633 | − | 0.140189i | ||||
\(987\) | −0.0932285 | − | 12.8735i | −0.00296749 | − | 0.409769i | ||||
\(988\) | 14.4526 | + | 7.00890i | 0.459798 | + | 0.222983i | ||||
\(989\) | 12.3422 | 0.392459 | ||||||||
\(990\) | −32.7691 | − | 4.31093i | −1.04147 | − | 0.137010i | ||||
\(991\) | −47.8643 | + | 17.4212i | −1.52046 | + | 0.553402i | −0.961263 | − | 0.275633i | \(-0.911113\pi\) |
−0.559197 | + | 0.829035i | \(0.688890\pi\) | |||||||
\(992\) | 1.93589 | − | 2.76474i | 0.0614646 | − | 0.0877806i | ||||
\(993\) | −8.04599 | − | 1.35872i | −0.255332 | − | 0.0431177i | ||||
\(994\) | −11.1238 | + | 30.5625i | −0.352827 | + | 0.969384i | ||||
\(995\) | 35.5397 | − | 10.6460i | 1.12668 | − | 0.337500i | ||||
\(996\) | −2.83192 | − | 10.2708i | −0.0897328 | − | 0.325442i | ||||
\(997\) | 2.13662 | − | 24.4216i | 0.0676673 | − | 0.773441i | −0.884236 | − | 0.467041i | \(-0.845320\pi\) |
0.951903 | − | 0.306400i | \(-0.0991245\pi\) | |||||||
\(998\) | −0.901860 | + | 10.3083i | −0.0285479 | + | 0.326304i | ||||
\(999\) | 18.2743 | − | 5.32465i | 0.578172 | − | 0.168464i |
(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 | 570.2.bi.a.263.34 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.263.18 | ✓ | 480 | |
5.2 | odd | 4 | inner | 570.2.bi.a.377.19 | yes | 480 | |
15.2 | even | 4 | inner | 570.2.bi.a.377.28 | yes | 480 | |
19.6 | even | 9 | inner | 570.2.bi.a.443.28 | yes | 480 | |
57.44 | odd | 18 | inner | 570.2.bi.a.443.19 | yes | 480 | |
95.82 | odd | 36 | inner | 570.2.bi.a.557.18 | yes | 480 | |
285.272 | even | 36 | inner | 570.2.bi.a.557.34 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.263.18 | ✓ | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.263.34 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.377.19 | yes | 480 | 5.2 | odd | 4 | inner | |
570.2.bi.a.377.28 | yes | 480 | 15.2 | even | 4 | inner | |
570.2.bi.a.443.19 | yes | 480 | 57.44 | odd | 18 | inner | |
570.2.bi.a.443.28 | yes | 480 | 19.6 | even | 9 | inner | |
570.2.bi.a.557.18 | yes | 480 | 95.82 | odd | 36 | inner | |
570.2.bi.a.557.34 | yes | 480 | 285.272 | even | 36 | inner |