Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(52,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bv (of order \(60\), degree \(16\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 52.20 | ||
Character | \(\chi\) | \(=\) | 525.52 |
Dual form | 525.2.bv.a.313.20 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0670074 | − | 0.174560i | −0.0473814 | − | 0.123433i | 0.907848 | − | 0.419300i | \(-0.137725\pi\) |
−0.955229 | + | 0.295868i | \(0.904391\pi\) | |||||||
\(3\) | 0.0523360 | − | 0.998630i | 0.0302162 | − | 0.576559i | ||||
\(4\) | 1.46031 | − | 1.31487i | 0.730154 | − | 0.657434i | ||||
\(5\) | 0.297475 | − | 2.21619i | 0.133035 | − | 0.991111i | ||||
\(6\) | −0.177828 | + | 0.0577798i | −0.0725980 | + | 0.0235885i | ||||
\(7\) | −2.22491 | + | 1.43170i | −0.840937 | + | 0.541132i | ||||
\(8\) | −0.660575 | − | 0.336580i | −0.233549 | − | 0.118999i | ||||
\(9\) | −0.994522 | − | 0.104528i | −0.331507 | − | 0.0348428i | ||||
\(10\) | −0.406792 | + | 0.0965741i | −0.128639 | + | 0.0305394i | ||||
\(11\) | −0.272501 | − | 2.59268i | −0.0821623 | − | 0.781722i | −0.955576 | − | 0.294744i | \(-0.904766\pi\) |
0.873414 | − | 0.486978i | \(-0.161901\pi\) | |||||||
\(12\) | −1.23664 | − | 1.52712i | −0.356987 | − | 0.440842i | ||||
\(13\) | 0.0432256 | + | 0.272915i | 0.0119886 | + | 0.0756931i | 0.992957 | − | 0.118473i | \(-0.0377999\pi\) |
−0.980969 | + | 0.194166i | \(0.937800\pi\) | |||||||
\(14\) | 0.399004 | + | 0.292447i | 0.106638 | + | 0.0781596i | ||||
\(15\) | −2.19759 | − | 0.413054i | −0.567414 | − | 0.106650i | ||||
\(16\) | 0.396315 | − | 3.77068i | 0.0990787 | − | 0.942671i | ||||
\(17\) | 4.52290 | − | 2.93721i | 1.09696 | − | 0.712377i | 0.136461 | − | 0.990645i | \(-0.456427\pi\) |
0.960503 | + | 0.278268i | \(0.0897604\pi\) | |||||||
\(18\) | 0.0483938 | + | 0.180608i | 0.0114065 | + | 0.0425698i | ||||
\(19\) | −1.85932 | + | 2.06498i | −0.426557 | + | 0.473739i | −0.917662 | − | 0.397361i | \(-0.869926\pi\) |
0.491106 | + | 0.871100i | \(0.336593\pi\) | |||||||
\(20\) | −2.47959 | − | 3.62746i | −0.554454 | − | 0.811126i | ||||
\(21\) | 1.31330 | + | 2.29679i | 0.286585 | + | 0.501201i | ||||
\(22\) | −0.434319 | + | 0.221297i | −0.0925972 | + | 0.0471806i | ||||
\(23\) | −5.38916 | + | 2.06871i | −1.12372 | + | 0.431355i | −0.848060 | − | 0.529901i | \(-0.822229\pi\) |
−0.275658 | + | 0.961256i | \(0.588896\pi\) | |||||||
\(24\) | −0.370690 | + | 0.642055i | −0.0756669 | + | 0.131059i | ||||
\(25\) | −4.82302 | − | 1.31852i | −0.964604 | − | 0.263704i | ||||
\(26\) | 0.0447438 | − | 0.0258328i | 0.00877498 | − | 0.00506624i | ||||
\(27\) | −0.156434 | + | 0.987688i | −0.0301058 | + | 0.190081i | ||||
\(28\) | −1.36656 | + | 5.01619i | −0.258255 | + | 0.947971i | ||||
\(29\) | 7.97236 | + | 2.59038i | 1.48043 | + | 0.481021i | 0.934241 | − | 0.356642i | \(-0.116078\pi\) |
0.546188 | + | 0.837662i | \(0.316078\pi\) | |||||||
\(30\) | 0.0751519 | + | 0.411289i | 0.0137208 | + | 0.0750908i | ||||
\(31\) | 0.149517 | − | 0.703422i | 0.0268540 | − | 0.126338i | −0.962679 | − | 0.270647i | \(-0.912762\pi\) |
0.989533 | + | 0.144309i | \(0.0460958\pi\) | |||||||
\(32\) | −2.11701 | + | 0.567250i | −0.374237 | + | 0.100277i | ||||
\(33\) | −2.60339 | + | 0.136438i | −0.453191 | + | 0.0237508i | ||||
\(34\) | −0.815788 | − | 0.592705i | −0.139906 | − | 0.101648i | ||||
\(35\) | 2.51107 | + | 5.35673i | 0.424449 | + | 0.905452i | ||||
\(36\) | −1.58975 | + | 1.15502i | −0.264958 | + | 0.192503i | ||||
\(37\) | −3.12283 | + | 2.52881i | −0.513389 | + | 0.415735i | −0.850694 | − | 0.525661i | \(-0.823818\pi\) |
0.337305 | + | 0.941396i | \(0.390485\pi\) | |||||||
\(38\) | 0.485052 | + | 0.186194i | 0.0786858 | + | 0.0302046i | ||||
\(39\) | 0.274804 | − | 0.0288830i | 0.0440038 | − | 0.00462499i | ||||
\(40\) | −0.942430 | + | 1.36384i | −0.149011 | + | 0.215642i | ||||
\(41\) | 3.45088 | − | 4.74973i | 0.538937 | − | 0.741783i | −0.449522 | − | 0.893269i | \(-0.648406\pi\) |
0.988459 | + | 0.151486i | \(0.0484058\pi\) | |||||||
\(42\) | 0.312928 | − | 0.383152i | 0.0482859 | − | 0.0591216i | ||||
\(43\) | −3.26866 | + | 3.26866i | −0.498466 | + | 0.498466i | −0.910960 | − | 0.412494i | \(-0.864658\pi\) |
0.412494 | + | 0.910960i | \(0.364658\pi\) | |||||||
\(44\) | −3.80696 | − | 3.42781i | −0.573921 | − | 0.516761i | ||||
\(45\) | −0.527500 | + | 2.17296i | −0.0786351 | + | 0.323925i | ||||
\(46\) | 0.722228 | + | 0.802115i | 0.106487 | + | 0.118265i | ||||
\(47\) | 4.12304 | − | 6.34893i | 0.601408 | − | 0.926086i | −0.398552 | − | 0.917146i | \(-0.630487\pi\) |
0.999960 | − | 0.00894087i | \(-0.00284600\pi\) | |||||||
\(48\) | −3.74478 | − | 0.593114i | −0.540512 | − | 0.0856087i | ||||
\(49\) | 2.90046 | − | 6.37082i | 0.414351 | − | 0.910117i | ||||
\(50\) | 0.0930164 | + | 0.930258i | 0.0131545 | + | 0.131558i | ||||
\(51\) | −2.69647 | − | 4.67043i | −0.377581 | − | 0.653990i | ||||
\(52\) | 0.421970 | + | 0.341705i | 0.0585168 | + | 0.0473859i | ||||
\(53\) | −1.07539 | − | 0.0563589i | −0.147716 | − | 0.00774149i | −0.0216656 | − | 0.999765i | \(-0.506897\pi\) |
−0.126051 | + | 0.992024i | \(0.540230\pi\) | |||||||
\(54\) | 0.182894 | − | 0.0388752i | 0.0248887 | − | 0.00529025i | ||||
\(55\) | −5.82694 | − | 0.167340i | −0.785704 | − | 0.0225642i | ||||
\(56\) | 1.95160 | − | 0.196886i | 0.260794 | − | 0.0263101i | ||||
\(57\) | 1.96484 | + | 1.96484i | 0.260250 | + | 0.260250i | ||||
\(58\) | −0.0820303 | − | 1.56523i | −0.0107711 | − | 0.205525i | ||||
\(59\) | 6.14719 | − | 2.73691i | 0.800296 | − | 0.356315i | 0.0345055 | − | 0.999405i | \(-0.489014\pi\) |
0.765791 | + | 0.643090i | \(0.222348\pi\) | |||||||
\(60\) | −3.75226 | + | 2.28635i | −0.484415 | + | 0.295166i | ||||
\(61\) | 3.24830 | − | 7.29580i | 0.415902 | − | 0.934132i | −0.577170 | − | 0.816624i | \(-0.695843\pi\) |
0.993072 | − | 0.117508i | \(-0.0374904\pi\) | |||||||
\(62\) | −0.132808 | + | 0.0210348i | −0.0168667 | + | 0.00267142i | ||||
\(63\) | 2.36238 | − | 1.19129i | 0.297631 | − | 0.150089i | ||||
\(64\) | −4.21625 | − | 5.80317i | −0.527031 | − | 0.725396i | ||||
\(65\) | 0.617692 | − | 0.0146107i | 0.0766152 | − | 0.00181224i | ||||
\(66\) | 0.198263 | + | 0.445306i | 0.0244045 | + | 0.0548133i | ||||
\(67\) | 7.64187 | + | 11.7675i | 0.933604 | + | 1.43762i | 0.898864 | + | 0.438227i | \(0.144393\pi\) |
0.0347391 | + | 0.999396i | \(0.488940\pi\) | |||||||
\(68\) | 2.74279 | − | 10.2362i | 0.332613 | − | 1.24133i | ||||
\(69\) | 1.78382 | + | 5.49004i | 0.214747 | + | 0.660924i | ||||
\(70\) | 0.766812 | − | 0.797274i | 0.0916515 | − | 0.0952925i | ||||
\(71\) | −0.726690 | + | 2.23652i | −0.0862423 | + | 0.265426i | −0.984873 | − | 0.173280i | \(-0.944563\pi\) |
0.898630 | + | 0.438707i | \(0.144563\pi\) | |||||||
\(72\) | 0.621774 | + | 0.403785i | 0.0732768 | + | 0.0475865i | ||||
\(73\) | 1.83153 | − | 2.26175i | 0.214365 | − | 0.264718i | −0.658609 | − | 0.752485i | \(-0.728855\pi\) |
0.872974 | + | 0.487767i | \(0.162188\pi\) | |||||||
\(74\) | 0.650683 | + | 0.375672i | 0.0756404 | + | 0.0436710i | ||||
\(75\) | −1.56913 | + | 4.74740i | −0.181188 | + | 0.548183i | ||||
\(76\) | 5.46026i | 0.626335i | ||||||||
\(77\) | 4.31823 | + | 5.37834i | 0.492108 | + | 0.612918i | ||||
\(78\) | −0.0234557 | − | 0.0460345i | −0.00265584 | − | 0.00521238i | ||||
\(79\) | −1.41838 | − | 6.67294i | −0.159580 | − | 0.750764i | −0.983040 | − | 0.183390i | \(-0.941293\pi\) |
0.823460 | − | 0.567374i | \(-0.192041\pi\) | |||||||
\(80\) | −8.23867 | − | 1.99999i | −0.921111 | − | 0.223606i | ||||
\(81\) | 0.978148 | + | 0.207912i | 0.108683 | + | 0.0231013i | ||||
\(82\) | −1.06035 | − | 0.284120i | −0.117096 | − | 0.0313758i | ||||
\(83\) | 4.76207 | − | 9.34610i | 0.522706 | − | 1.02587i | −0.467202 | − | 0.884151i | \(-0.654738\pi\) |
0.989907 | − | 0.141717i | \(-0.0452622\pi\) | |||||||
\(84\) | 4.93780 | + | 1.62721i | 0.538758 | + | 0.177543i | ||||
\(85\) | −5.16397 | − | 10.8974i | −0.560111 | − | 1.18199i | ||||
\(86\) | 0.789603 | + | 0.351554i | 0.0851450 | + | 0.0379090i | ||||
\(87\) | 3.00407 | − | 7.82586i | 0.322070 | − | 0.839020i | ||||
\(88\) | −0.692635 | + | 1.80438i | −0.0738352 | + | 0.192347i | ||||
\(89\) | 8.07959 | + | 3.59727i | 0.856435 | + | 0.381310i | 0.787502 | − | 0.616312i | \(-0.211374\pi\) |
0.0689330 | + | 0.997621i | \(0.478041\pi\) | |||||||
\(90\) | 0.414659 | − | 0.0535237i | 0.0437089 | − | 0.00564189i | ||||
\(91\) | −0.486907 | − | 0.545327i | −0.0510417 | − | 0.0571658i | ||||
\(92\) | −5.14976 | + | 10.1070i | −0.536900 | + | 1.05373i | ||||
\(93\) | −0.694633 | − | 0.186126i | −0.0720301 | − | 0.0193004i | ||||
\(94\) | −1.38455 | − | 0.294294i | −0.142805 | − | 0.0303541i | ||||
\(95\) | 4.02329 | + | 4.73488i | 0.412781 | + | 0.485789i | ||||
\(96\) | 0.455677 | + | 2.14379i | 0.0465073 | + | 0.218800i | ||||
\(97\) | 8.88948 | + | 17.4466i | 0.902590 | + | 1.77143i | 0.548248 | + | 0.836316i | \(0.315295\pi\) |
0.354342 | + | 0.935116i | \(0.384705\pi\) | |||||||
\(98\) | −1.30644 | − | 0.0794129i | −0.131971 | − | 0.00802192i | ||||
\(99\) | 2.60696i | 0.262009i | ||||||||
\(100\) | −8.77677 | + | 4.41618i | −0.877677 | + | 0.441618i | ||||
\(101\) | −13.3537 | − | 7.70974i | −1.32874 | − | 0.767148i | −0.343635 | − | 0.939103i | \(-0.611658\pi\) |
−0.985105 | + | 0.171955i | \(0.944992\pi\) | |||||||
\(102\) | −0.634587 | + | 0.783650i | −0.0628335 | + | 0.0775929i | ||||
\(103\) | 5.93294 | + | 3.85289i | 0.584590 | + | 0.379637i | 0.802785 | − | 0.596268i | \(-0.203350\pi\) |
−0.218196 | + | 0.975905i | \(0.570017\pi\) | |||||||
\(104\) | 0.0633041 | − | 0.194830i | 0.00620748 | − | 0.0191047i | ||||
\(105\) | 5.48080 | − | 2.22728i | 0.534872 | − | 0.217360i | ||||
\(106\) | 0.0622212 | + | 0.191497i | 0.00604346 | + | 0.0185999i | ||||
\(107\) | 0.0863954 | − | 0.322432i | 0.00835216 | − | 0.0311707i | −0.961624 | − | 0.274371i | \(-0.911530\pi\) |
0.969976 | + | 0.243200i | \(0.0781971\pi\) | |||||||
\(108\) | 1.07024 | + | 1.64802i | 0.102984 | + | 0.158581i | ||||
\(109\) | 7.26444 | + | 16.3162i | 0.695807 | + | 1.56281i | 0.821161 | + | 0.570696i | \(0.193327\pi\) |
−0.125354 | + | 0.992112i | \(0.540007\pi\) | |||||||
\(110\) | 0.361237 | + | 1.02837i | 0.0344426 | + | 0.0980508i | ||||
\(111\) | 2.36191 | + | 3.25089i | 0.224183 | + | 0.308561i | ||||
\(112\) | 4.51673 | + | 8.95684i | 0.426791 | + | 0.846342i | ||||
\(113\) | 3.89796 | − | 0.617376i | 0.366689 | − | 0.0580778i | 0.0296289 | − | 0.999561i | \(-0.490567\pi\) |
0.337060 | + | 0.941483i | \(0.390567\pi\) | |||||||
\(114\) | 0.211324 | − | 0.474642i | 0.0197923 | − | 0.0444543i | ||||
\(115\) | 2.98151 | + | 12.5588i | 0.278027 | + | 1.17111i | ||||
\(116\) | 15.0481 | − | 6.69985i | 1.39718 | − | 0.622065i | ||||
\(117\) | −0.0144613 | − | 0.275939i | −0.00133695 | − | 0.0255105i | ||||
\(118\) | −0.889663 | − | 0.889663i | −0.0819001 | − | 0.0819001i | ||||
\(119\) | −5.85785 | + | 13.0105i | −0.536988 | + | 1.19267i | ||||
\(120\) | 1.31265 | + | 1.01252i | 0.119828 | + | 0.0924297i | ||||
\(121\) | 4.11190 | − | 0.874011i | 0.373809 | − | 0.0794556i | ||||
\(122\) | −1.49122 | − | 0.0781514i | −0.135009 | − | 0.00707550i | ||||
\(123\) | −4.56262 | − | 3.69473i | −0.411397 | − | 0.333143i | ||||
\(124\) | −0.706566 | − | 1.22381i | −0.0634515 | − | 0.109901i | ||||
\(125\) | −4.35682 | + | 10.2965i | −0.389686 | + | 0.920948i | ||||
\(126\) | −0.366249 | − | 0.332552i | −0.0326281 | − | 0.0296261i | ||||
\(127\) | −8.07840 | − | 1.27949i | −0.716842 | − | 0.113537i | −0.212650 | − | 0.977128i | \(-0.568210\pi\) |
−0.504192 | + | 0.863592i | \(0.668210\pi\) | |||||||
\(128\) | −3.11784 | + | 4.80105i | −0.275581 | + | 0.424357i | ||||
\(129\) | 3.09311 | + | 3.43525i | 0.272333 | + | 0.302457i | ||||
\(130\) | −0.0439404 | − | 0.106845i | −0.00385383 | − | 0.00937097i | ||||
\(131\) | 3.79446 | + | 3.41654i | 0.331523 | + | 0.298505i | 0.818034 | − | 0.575170i | \(-0.195064\pi\) |
−0.486511 | + | 0.873675i | \(0.661731\pi\) | |||||||
\(132\) | −3.62235 | + | 3.62235i | −0.315285 | + | 0.315285i | ||||
\(133\) | 1.18038 | − | 7.25639i | 0.102352 | − | 0.629208i | ||||
\(134\) | 1.54207 | − | 2.12248i | 0.133214 | − | 0.183354i | ||||
\(135\) | 2.14237 | + | 0.640501i | 0.184386 | + | 0.0551256i | ||||
\(136\) | −3.97632 | + | 0.417928i | −0.340967 | + | 0.0358370i | ||||
\(137\) | −8.31907 | − | 3.19339i | −0.710746 | − | 0.272830i | −0.0239844 | − | 0.999712i | \(-0.507635\pi\) |
−0.686762 | + | 0.726882i | \(0.740969\pi\) | |||||||
\(138\) | 0.838815 | − | 0.679259i | 0.0714046 | − | 0.0578223i | ||||
\(139\) | 14.3628 | − | 10.4352i | 1.21824 | − | 0.885103i | 0.222287 | − | 0.974981i | \(-0.428648\pi\) |
0.995953 | + | 0.0898783i | \(0.0286478\pi\) | |||||||
\(140\) | 10.7103 | + | 4.52074i | 0.905188 | + | 0.382073i | ||||
\(141\) | −6.12444 | − | 4.44967i | −0.515771 | − | 0.374730i | ||||
\(142\) | 0.439102 | − | 0.0230124i | 0.0368486 | − | 0.00193115i | ||||
\(143\) | 0.695803 | − | 0.186440i | 0.0581860 | − | 0.0155909i | ||||
\(144\) | −0.788288 | + | 3.70860i | −0.0656906 | + | 0.309050i | ||||
\(145\) | 8.11234 | − | 16.8977i | 0.673694 | − | 1.40328i | ||||
\(146\) | −0.517539 | − | 0.168159i | −0.0428318 | − | 0.0139169i | ||||
\(147\) | −6.21029 | − | 3.22991i | −0.512216 | − | 0.266398i | ||||
\(148\) | −1.23523 | + | 7.79895i | −0.101535 | + | 0.641070i | ||||
\(149\) | 4.51825 | − | 2.60861i | 0.370149 | − | 0.213706i | −0.303374 | − | 0.952871i | \(-0.598113\pi\) |
0.673524 | + | 0.739166i | \(0.264780\pi\) | |||||||
\(150\) | 0.933852 | − | 0.0442029i | 0.0762487 | − | 0.00360915i | ||||
\(151\) | 1.08814 | − | 1.88471i | 0.0885513 | − | 0.153375i | −0.818348 | − | 0.574724i | \(-0.805110\pi\) |
0.906899 | + | 0.421348i | \(0.138443\pi\) | |||||||
\(152\) | 1.92325 | − | 0.738266i | 0.155996 | − | 0.0598813i | ||||
\(153\) | −4.80515 | + | 2.44834i | −0.388473 | + | 0.197937i | ||||
\(154\) | 0.649491 | − | 1.11418i | 0.0523375 | − | 0.0897833i | ||||
\(155\) | −1.51444 | − | 0.540608i | −0.121643 | − | 0.0434227i | ||||
\(156\) | 0.363321 | − | 0.403509i | 0.0290889 | − | 0.0323065i | ||||
\(157\) | 2.95560 | + | 11.0305i | 0.235883 | + | 0.880327i | 0.977749 | + | 0.209779i | \(0.0672744\pi\) |
−0.741866 | + | 0.670548i | \(0.766059\pi\) | |||||||
\(158\) | −1.06979 | + | 0.694729i | −0.0851078 | + | 0.0552697i | ||||
\(159\) | −0.112563 | + | 1.07097i | −0.00892685 | + | 0.0849333i | ||||
\(160\) | 0.627380 | + | 4.86043i | 0.0495987 | + | 0.384251i | ||||
\(161\) | 9.02864 | − | 12.3184i | 0.711556 | − | 0.970823i | ||||
\(162\) | −0.0292500 | − | 0.184677i | −0.00229810 | − | 0.0145096i | ||||
\(163\) | −12.7564 | − | 15.7528i | −0.999155 | − | 1.23385i | −0.972184 | − | 0.234217i | \(-0.924747\pi\) |
−0.0269708 | − | 0.999636i | \(-0.508586\pi\) | |||||||
\(164\) | −1.20592 | − | 11.4735i | −0.0941662 | − | 0.895932i | ||||
\(165\) | −0.472069 | + | 5.81019i | −0.0367506 | + | 0.452323i | ||||
\(166\) | −1.95055 | − | 0.205011i | −0.151392 | − | 0.0159120i | ||||
\(167\) | 20.1880 | + | 10.2863i | 1.56220 | + | 0.795979i | 0.999529 | − | 0.0307042i | \(-0.00977500\pi\) |
0.562668 | + | 0.826683i | \(0.309775\pi\) | |||||||
\(168\) | −0.0944776 | − | 1.95923i | −0.00728910 | − | 0.151158i | ||||
\(169\) | 12.2911 | − | 3.99363i | 0.945471 | − | 0.307202i | ||||
\(170\) | −1.55622 | + | 1.63163i | −0.119357 | + | 0.125140i | ||||
\(171\) | 2.06498 | − | 1.85932i | 0.157913 | − | 0.142186i | ||||
\(172\) | −0.475396 | + | 9.07110i | −0.0362486 | + | 0.691665i | ||||
\(173\) | −3.34014 | − | 8.70137i | −0.253946 | − | 0.661553i | 0.746044 | − | 0.665896i | \(-0.231951\pi\) |
−0.999991 | + | 0.00434356i | \(0.998617\pi\) | |||||||
\(174\) | −1.56738 | −0.118823 | ||||||||
\(175\) | 12.6185 | − | 3.97153i | 0.953870 | − | 0.300219i | ||||
\(176\) | −9.88417 | −0.745047 | ||||||||
\(177\) | −2.41144 | − | 6.28201i | −0.181255 | − | 0.472185i | ||||
\(178\) | 0.0865473 | − | 1.65142i | 0.00648699 | − | 0.123779i | ||||
\(179\) | −14.7264 | + | 13.2597i | −1.10070 | + | 0.991077i | −0.999993 | − | 0.00383861i | \(-0.998778\pi\) |
−0.100710 | + | 0.994916i | \(0.532111\pi\) | |||||||
\(180\) | 2.08684 | + | 3.86678i | 0.155544 | + | 0.288213i | ||||
\(181\) | −16.9820 | + | 5.51777i | −1.26226 | + | 0.410133i | −0.862299 | − | 0.506400i | \(-0.830976\pi\) |
−0.399960 | + | 0.916533i | \(0.630976\pi\) | |||||||
\(182\) | −0.0625660 | + | 0.121536i | −0.00463770 | + | 0.00900881i | ||||
\(183\) | −7.11580 | − | 3.62568i | −0.526015 | − | 0.268018i | ||||
\(184\) | 4.25623 | + | 0.447348i | 0.313773 | + | 0.0329789i | ||||
\(185\) | 4.67538 | + | 7.67304i | 0.343741 | + | 0.564133i | ||||
\(186\) | 0.0140553 | + | 0.133727i | 0.00103058 | + | 0.00980535i | ||||
\(187\) | −8.84773 | − | 10.9260i | −0.647010 | − | 0.798991i | ||||
\(188\) | −2.32709 | − | 14.6926i | −0.169720 | − | 1.07157i | ||||
\(189\) | −1.06602 | − | 2.42149i | −0.0775417 | − | 0.176137i | ||||
\(190\) | 0.556932 | − | 1.01958i | 0.0404041 | − | 0.0739681i | ||||
\(191\) | −0.191101 | + | 1.81821i | −0.0138276 | + | 0.131561i | −0.999258 | − | 0.0385191i | \(-0.987736\pi\) |
0.985430 | + | 0.170080i | \(0.0544026\pi\) | |||||||
\(192\) | −6.01588 | + | 3.90675i | −0.434158 | + | 0.281946i | ||||
\(193\) | 2.57660 | + | 9.61599i | 0.185468 | + | 0.692174i | 0.994530 | + | 0.104452i | \(0.0333087\pi\) |
−0.809062 | + | 0.587723i | \(0.800025\pi\) | |||||||
\(194\) | 2.44982 | − | 2.72080i | 0.175887 | − | 0.195342i | ||||
\(195\) | 0.0177368 | − | 0.617610i | 0.00127016 | − | 0.0442280i | ||||
\(196\) | −4.14122 | − | 13.1171i | −0.295801 | − | 0.936934i | ||||
\(197\) | 10.0742 | − | 5.13307i | 0.717758 | − | 0.365716i | −0.0566571 | − | 0.998394i | \(-0.518044\pi\) |
0.774415 | + | 0.632678i | \(0.218044\pi\) | |||||||
\(198\) | 0.455072 | − | 0.174686i | 0.0323405 | − | 0.0124144i | ||||
\(199\) | −11.0544 | + | 19.1468i | −0.783627 | + | 1.35728i | 0.146189 | + | 0.989257i | \(0.453299\pi\) |
−0.929816 | + | 0.368025i | \(0.880034\pi\) | |||||||
\(200\) | 2.74218 | + | 2.49431i | 0.193901 | + | 0.176375i | ||||
\(201\) | 12.1513 | − | 7.01554i | 0.857085 | − | 0.494838i | ||||
\(202\) | −0.451021 | + | 2.84763i | −0.0317337 | + | 0.200359i | ||||
\(203\) | −21.4464 | + | 5.65068i | −1.50524 | + | 0.396600i | ||||
\(204\) | −10.0787 | − | 3.27476i | −0.705648 | − | 0.229279i | ||||
\(205\) | −9.49977 | − | 9.06074i | −0.663492 | − | 0.632830i | ||||
\(206\) | 0.275012 | − | 1.29383i | 0.0191610 | − | 0.0901453i | ||||
\(207\) | 5.57588 | − | 1.49405i | 0.387550 | − | 0.103844i | ||||
\(208\) | 1.04621 | − | 0.0548295i | 0.0725415 | − | 0.00380174i | ||||
\(209\) | 5.86050 | + | 4.25790i | 0.405379 | + | 0.294525i | ||||
\(210\) | −0.756050 | − | 0.807487i | −0.0521724 | − | 0.0557219i | ||||
\(211\) | −5.63257 | + | 4.09230i | −0.387762 | + | 0.281726i | −0.764538 | − | 0.644579i | \(-0.777033\pi\) |
0.376776 | + | 0.926305i | \(0.377033\pi\) | |||||||
\(212\) | −1.64451 | + | 1.33170i | −0.112945 | + | 0.0914613i | ||||
\(213\) | 2.19543 | + | 0.842745i | 0.150428 | + | 0.0577439i | ||||
\(214\) | −0.0620730 | + | 0.00652414i | −0.00424322 | + | 0.000445981i | ||||
\(215\) | 6.27163 | + | 8.21632i | 0.427722 | + | 0.560348i | ||||
\(216\) | 0.435773 | − | 0.599790i | 0.0296506 | − | 0.0408105i | ||||
\(217\) | 0.674428 | + | 1.77911i | 0.0457832 | + | 0.120774i | ||||
\(218\) | 2.36139 | − | 2.36139i | 0.159934 | − | 0.159934i | ||||
\(219\) | −2.16280 | − | 1.94739i | −0.146148 | − | 0.131593i | ||||
\(220\) | −8.72915 | + | 7.41728i | −0.588519 | + | 0.500073i | ||||
\(221\) | 0.997114 | + | 1.10741i | 0.0670732 | + | 0.0744923i | ||||
\(222\) | 0.409211 | − | 0.630130i | 0.0274645 | − | 0.0422916i | ||||
\(223\) | −1.73204 | − | 0.274329i | −0.115986 | − | 0.0183704i | 0.0981715 | − | 0.995170i | \(-0.468701\pi\) |
−0.214158 | + | 0.976799i | \(0.568701\pi\) | |||||||
\(224\) | 3.89802 | − | 4.29300i | 0.260447 | − | 0.286838i | ||||
\(225\) | 4.65877 | + | 1.81544i | 0.310585 | + | 0.121029i | ||||
\(226\) | −0.368961 | − | 0.639060i | −0.0245429 | − | 0.0425096i | ||||
\(227\) | −1.16324 | − | 0.941972i | −0.0772068 | − | 0.0625209i | 0.589940 | − | 0.807447i | \(-0.299151\pi\) |
−0.667147 | + | 0.744926i | \(0.732485\pi\) | |||||||
\(228\) | 5.45278 | + | 0.285768i | 0.361119 | + | 0.0189255i | ||||
\(229\) | 15.5400 | − | 3.30312i | 1.02691 | − | 0.218276i | 0.336491 | − | 0.941687i | \(-0.390760\pi\) |
0.690418 | + | 0.723410i | \(0.257427\pi\) | |||||||
\(230\) | 1.99249 | − | 1.36199i | 0.131381 | − | 0.0898068i | ||||
\(231\) | 5.59697 | − | 4.03084i | 0.368253 | − | 0.265209i | ||||
\(232\) | −4.39447 | − | 4.39447i | −0.288511 | − | 0.288511i | ||||
\(233\) | −0.984420 | − | 18.7839i | −0.0644915 | − | 1.23057i | −0.818811 | − | 0.574063i | \(-0.805366\pi\) |
0.754319 | − | 0.656508i | \(-0.227967\pi\) | |||||||
\(234\) | −0.0471989 | + | 0.0210143i | −0.00308549 | + | 0.00137375i | ||||
\(235\) | −12.8439 | − | 11.0261i | −0.837847 | − | 0.719263i | ||||
\(236\) | 5.37813 | − | 12.0795i | 0.350086 | − | 0.786307i | ||||
\(237\) | −6.73803 | + | 1.06720i | −0.437682 | + | 0.0693220i | ||||
\(238\) | 2.66363 | + | 0.150750i | 0.172658 | + | 0.00977167i | ||||
\(239\) | 3.00525 | + | 4.13638i | 0.194394 | + | 0.267560i | 0.895076 | − | 0.445913i | \(-0.147121\pi\) |
−0.700683 | + | 0.713473i | \(0.747121\pi\) | |||||||
\(240\) | −2.42843 | + | 8.12271i | −0.156755 | + | 0.524318i | ||||
\(241\) | −1.28992 | − | 2.89721i | −0.0830911 | − | 0.186626i | 0.867222 | − | 0.497922i | \(-0.165903\pi\) |
−0.950313 | + | 0.311296i | \(0.899237\pi\) | |||||||
\(242\) | −0.428096 | − | 0.659210i | −0.0275190 | − | 0.0423756i | ||||
\(243\) | 0.258819 | − | 0.965926i | 0.0166032 | − | 0.0619642i | ||||
\(244\) | −4.84949 | − | 14.9252i | −0.310457 | − | 0.955488i | ||||
\(245\) | −13.2561 | − | 8.32313i | −0.846904 | − | 0.531745i | ||||
\(246\) | −0.339225 | + | 1.04403i | −0.0216282 | + | 0.0665647i | ||||
\(247\) | −0.643935 | − | 0.418176i | −0.0409726 | − | 0.0266079i | ||||
\(248\) | −0.335525 | + | 0.414339i | −0.0213058 | + | 0.0263105i | ||||
\(249\) | −9.08406 | − | 5.24468i | −0.575679 | − | 0.332368i | ||||
\(250\) | 2.08930 | + | 0.0705862i | 0.132139 | + | 0.00446426i | ||||
\(251\) | 20.5199i | 1.29521i | 0.761977 | + | 0.647604i | \(0.224229\pi\) | ||||
−0.761977 | + | 0.647604i | \(0.775771\pi\) | |||||||
\(252\) | 1.88341 | − | 4.84587i | 0.118643 | − | 0.305261i | ||||
\(253\) | 6.83204 | + | 13.4086i | 0.429527 | + | 0.842994i | ||||
\(254\) | 0.317964 | + | 1.49590i | 0.0199508 | + | 0.0938614i | ||||
\(255\) | −11.1527 | + | 4.58657i | −0.698409 | + | 0.287222i | ||||
\(256\) | −12.9857 | − | 2.76020i | −0.811608 | − | 0.172513i | ||||
\(257\) | −17.9796 | − | 4.81762i | −1.12154 | − | 0.300515i | −0.350031 | − | 0.936738i | \(-0.613829\pi\) |
−0.771505 | + | 0.636223i | \(0.780496\pi\) | |||||||
\(258\) | 0.392397 | − | 0.770122i | 0.0244295 | − | 0.0479457i | ||||
\(259\) | 3.32750 | − | 10.0973i | 0.206761 | − | 0.627418i | ||||
\(260\) | 0.882809 | − | 0.833519i | 0.0547495 | − | 0.0516926i | ||||
\(261\) | −7.65791 | − | 3.40952i | −0.474013 | − | 0.211044i | ||||
\(262\) | 0.342136 | − | 0.891296i | 0.0211373 | − | 0.0550644i | ||||
\(263\) | −8.11969 | + | 21.1525i | −0.500682 | + | 1.30432i | 0.417686 | + | 0.908591i | \(0.362841\pi\) |
−0.918368 | + | 0.395729i | \(0.870492\pi\) | |||||||
\(264\) | 1.76565 | + | 0.786120i | 0.108669 | + | 0.0483823i | ||||
\(265\) | −0.444804 | + | 2.36651i | −0.0273241 | + | 0.145374i | ||||
\(266\) | −1.34577 | + | 0.280185i | −0.0825145 | + | 0.0171792i | ||||
\(267\) | 4.01519 | − | 7.88026i | 0.245726 | − | 0.482264i | ||||
\(268\) | 26.6321 | + | 7.13606i | 1.62682 | + | 0.435904i | ||||
\(269\) | −10.0643 | − | 2.13924i | −0.613632 | − | 0.130432i | −0.109397 | − | 0.993998i | \(-0.534892\pi\) |
−0.504235 | + | 0.863567i | \(0.668225\pi\) | |||||||
\(270\) | −0.0317488 | − | 0.416892i | −0.00193217 | − | 0.0253712i | ||||
\(271\) | 3.73190 | + | 17.5572i | 0.226697 | + | 1.06652i | 0.933351 | + | 0.358965i | \(0.116870\pi\) |
−0.706654 | + | 0.707559i | \(0.749796\pi\) | |||||||
\(272\) | −9.28279 | − | 18.2185i | −0.562852 | − | 1.10466i | ||||
\(273\) | −0.570062 | + | 0.457699i | −0.0345017 | + | 0.0277012i | ||||
\(274\) | 1.66616i | 0.100656i | ||||||||
\(275\) | −2.10422 | + | 12.8638i | −0.126890 | + | 0.775718i | ||||
\(276\) | 9.82361 | + | 5.67167i | 0.591312 | + | 0.341394i | ||||
\(277\) | 8.23921 | − | 10.1746i | 0.495046 | − | 0.611331i | −0.466987 | − | 0.884264i | \(-0.654660\pi\) |
0.962033 | + | 0.272933i | \(0.0879938\pi\) | |||||||
\(278\) | −2.78399 | − | 1.80794i | −0.166973 | − | 0.108433i | ||||
\(279\) | −0.222225 | + | 0.683940i | −0.0133043 | + | 0.0409464i | ||||
\(280\) | 0.144214 | − | 4.38370i | 0.00861845 | − | 0.261976i | ||||
\(281\) | 5.25652 | + | 16.1779i | 0.313578 | + | 0.965093i | 0.976336 | + | 0.216260i | \(0.0693857\pi\) |
−0.662758 | + | 0.748833i | \(0.730614\pi\) | |||||||
\(282\) | −0.366352 | + | 1.36725i | −0.0218160 | + | 0.0814183i | ||||
\(283\) | −17.5648 | − | 27.0474i | −1.04412 | − | 1.60780i | −0.761038 | − | 0.648707i | \(-0.775310\pi\) |
−0.283082 | − | 0.959096i | \(-0.591357\pi\) | |||||||
\(284\) | 1.87954 | + | 4.22151i | 0.111530 | + | 0.250501i | ||||
\(285\) | 4.93896 | − | 3.76998i | 0.292559 | − | 0.223314i | ||||
\(286\) | −0.0791690 | − | 0.108967i | −0.00468136 | − | 0.00644334i | ||||
\(287\) | −0.877706 | + | 15.5084i | −0.0518093 | + | 0.915430i | ||||
\(288\) | 2.16470 | − | 0.342855i | 0.127556 | − | 0.0202029i | ||||
\(289\) | 4.91494 | − | 11.0391i | 0.289114 | − | 0.649360i | ||||
\(290\) | −3.49326 | − | 0.283822i | −0.205131 | − | 0.0166666i | ||||
\(291\) | 17.8879 | − | 7.96421i | 1.04861 | − | 0.466870i | ||||
\(292\) | −0.299305 | − | 5.71108i | −0.0175155 | − | 0.334216i | ||||
\(293\) | −10.0216 | − | 10.0216i | −0.585470 | − | 0.585470i | 0.350931 | − | 0.936401i | \(-0.385865\pi\) |
−0.936401 | + | 0.350931i | \(0.885865\pi\) | |||||||
\(294\) | −0.147678 | + | 1.30050i | −0.00861276 | + | 0.0758466i | ||||
\(295\) | −4.23688 | − | 14.4375i | −0.246681 | − | 0.840585i | ||||
\(296\) | 2.91401 | − | 0.619392i | 0.169373 | − | 0.0360014i | ||||
\(297\) | 2.60339 | + | 0.136438i | 0.151064 | + | 0.00791692i | ||||
\(298\) | −0.758116 | − | 0.613910i | −0.0439165 | − | 0.0355629i | ||||
\(299\) | −0.797531 | − | 1.38136i | −0.0461224 | − | 0.0798864i | ||||
\(300\) | 3.95079 | + | 8.99587i | 0.228099 | + | 0.519377i | ||||
\(301\) | 2.59273 | − | 11.9522i | 0.149442 | − | 0.688914i | ||||
\(302\) | −0.401909 | − | 0.0636561i | −0.0231272 | − | 0.00366300i | ||||
\(303\) | −8.39806 | + | 12.9319i | −0.482456 | + | 0.742917i | ||||
\(304\) | 7.04952 | + | 7.82928i | 0.404317 | + | 0.449040i | ||||
\(305\) | −15.2026 | − | 9.36917i | −0.870499 | − | 0.536477i | ||||
\(306\) | 0.749365 | + | 0.674731i | 0.0428383 | + | 0.0385718i | ||||
\(307\) | −8.46433 | + | 8.46433i | −0.483085 | + | 0.483085i | −0.906115 | − | 0.423031i | \(-0.860966\pi\) |
0.423031 | + | 0.906115i | \(0.360966\pi\) | |||||||
\(308\) | 13.3778 | + | 2.17613i | 0.762268 | + | 0.123996i | ||||
\(309\) | 4.15812 | − | 5.72316i | 0.236547 | − | 0.325579i | ||||
\(310\) | 0.00710999 | + | 0.300586i | 0.000403820 | + | 0.0170721i | ||||
\(311\) | −7.03609 | + | 0.739523i | −0.398980 | + | 0.0419345i | −0.301894 | − | 0.953341i | \(-0.597619\pi\) |
−0.0970861 | + | 0.995276i | \(0.530952\pi\) | |||||||
\(312\) | −0.191250 | − | 0.0734140i | −0.0108274 | − | 0.00415625i | ||||
\(313\) | 11.2697 | − | 9.12598i | 0.636998 | − | 0.515831i | −0.255542 | − | 0.966798i | \(-0.582254\pi\) |
0.892541 | + | 0.450967i | \(0.148921\pi\) | |||||||
\(314\) | 1.72743 | − | 1.25505i | 0.0974848 | − | 0.0708268i | ||||
\(315\) | −1.93739 | − | 5.58986i | −0.109159 | − | 0.314953i | ||||
\(316\) | −10.8453 | − | 7.87957i | −0.610096 | − | 0.443260i | ||||
\(317\) | −18.0515 | + | 0.946038i | −1.01387 | + | 0.0531348i | −0.552027 | − | 0.833826i | \(-0.686146\pi\) |
−0.461845 | + | 0.886961i | \(0.652812\pi\) | |||||||
\(318\) | 0.194491 | − | 0.0521138i | 0.0109065 | − | 0.00292239i | ||||
\(319\) | 4.54353 | − | 21.3756i | 0.254389 | − | 1.19681i | ||||
\(320\) | −14.1152 | + | 7.61772i | −0.789061 | + | 0.425844i | ||||
\(321\) | −0.317469 | − | 0.103152i | −0.0177194 | − | 0.00575737i | ||||
\(322\) | −2.75528 | − | 0.750620i | −0.153546 | − | 0.0418304i | ||||
\(323\) | −2.34423 | + | 14.8009i | −0.130437 | + | 0.823544i | ||||
\(324\) | 1.70177 | − | 0.982519i | 0.0945430 | − | 0.0545844i | ||||
\(325\) | 0.151367 | − | 1.37327i | 0.00839636 | − | 0.0761753i | ||||
\(326\) | −1.89504 | + | 3.28231i | −0.104957 | + | 0.181790i | ||||
\(327\) | 16.6740 | − | 6.40056i | 0.922076 | − | 0.353952i | ||||
\(328\) | −3.87823 | + | 1.97606i | −0.214139 | + | 0.109109i | ||||
\(329\) | −0.0836301 | + | 20.0288i | −0.00461068 | + | 1.10422i | ||||
\(330\) | 1.04586 | − | 0.306922i | 0.0575728 | − | 0.0168955i | ||||
\(331\) | −10.3308 | + | 11.4735i | −0.567833 | + | 0.630642i | −0.956848 | − | 0.290589i | \(-0.906149\pi\) |
0.389015 | + | 0.921231i | \(0.372815\pi\) | |||||||
\(332\) | −5.33478 | − | 19.9097i | −0.292784 | − | 1.09269i | ||||
\(333\) | 3.37005 | − | 2.18854i | 0.184678 | − | 0.119931i | ||||
\(334\) | 0.442834 | − | 4.21329i | 0.0242308 | − | 0.230541i | ||||
\(335\) | 28.3522 | − | 13.4353i | 1.54905 | − | 0.734051i | ||||
\(336\) | 9.18096 | − | 4.04178i | 0.500862 | − | 0.220497i | ||||
\(337\) | −2.53676 | − | 16.0164i | −0.138186 | − | 0.872471i | −0.955223 | − | 0.295887i | \(-0.904385\pi\) |
0.817037 | − | 0.576585i | \(-0.195615\pi\) | |||||||
\(338\) | −1.52073 | − | 1.87794i | −0.0827166 | − | 0.102146i | ||||
\(339\) | −0.412526 | − | 3.92493i | −0.0224054 | − | 0.213173i | ||||
\(340\) | −21.8696 | − | 9.12358i | −1.18604 | − | 0.494796i | ||||
\(341\) | −1.86449 | − | 0.195966i | −0.100968 | − | 0.0106121i | ||||
\(342\) | −0.462932 | − | 0.235876i | −0.0250325 | − | 0.0127547i | ||||
\(343\) | 2.66785 | + | 18.3271i | 0.144050 | + | 0.989570i | ||||
\(344\) | 3.25936 | − | 1.05903i | 0.175733 | − | 0.0570991i | ||||
\(345\) | 12.6976 | − | 2.32015i | 0.683618 | − | 0.124912i | ||||
\(346\) | −1.29510 | + | 1.16611i | −0.0696250 | + | 0.0626906i | ||||
\(347\) | 0.0570651 | − | 1.08887i | 0.00306341 | − | 0.0584534i | −0.996670 | − | 0.0815402i | \(-0.974016\pi\) |
0.999733 | + | 0.0230868i | \(0.00734942\pi\) | |||||||
\(348\) | −5.90311 | − | 15.3781i | −0.316440 | − | 0.824354i | ||||
\(349\) | 2.68584 | 0.143770 | 0.0718849 | − | 0.997413i | \(-0.477099\pi\) | ||||
0.0718849 | + | 0.997413i | \(0.477099\pi\) | |||||||
\(350\) | −1.53881 | − | 1.93657i | −0.0822526 | − | 0.103514i | ||||
\(351\) | −0.276317 | −0.0147487 | ||||||||
\(352\) | 2.04758 | + | 5.33414i | 0.109137 | + | 0.284311i | ||||
\(353\) | −0.402417 | + | 7.67858i | −0.0214185 | + | 0.408690i | 0.966790 | + | 0.255573i | \(0.0822642\pi\) |
−0.988208 | + | 0.153116i | \(0.951069\pi\) | |||||||
\(354\) | −0.935005 | + | 0.841883i | −0.0496950 | + | 0.0447456i | ||||
\(355\) | 4.74039 | + | 2.27579i | 0.251594 | + | 0.120787i | ||||
\(356\) | 16.5286 | − | 5.37048i | 0.876016 | − | 0.284635i | ||||
\(357\) | 12.6861 | + | 6.53074i | 0.671418 | + | 0.345643i | ||||
\(358\) | 3.30140 | + | 1.68215i | 0.174484 | + | 0.0889042i | ||||
\(359\) | −28.3369 | − | 2.97833i | −1.49556 | − | 0.157190i | −0.678869 | − | 0.734259i | \(-0.737530\pi\) |
−0.816695 | + | 0.577069i | \(0.804196\pi\) | |||||||
\(360\) | 1.07983 | − | 1.25786i | 0.0569119 | − | 0.0662948i | ||||
\(361\) | 1.17896 | + | 11.2170i | 0.0620503 | + | 0.590369i | ||||
\(362\) | 2.10110 | + | 2.59464i | 0.110431 | + | 0.136371i | ||||
\(363\) | −0.657613 | − | 4.15201i | −0.0345158 | − | 0.217924i | ||||
\(364\) | −1.42807 | − | 0.156127i | −0.0748510 | − | 0.00818329i | ||||
\(365\) | −4.46765 | − | 4.73184i | −0.233847 | − | 0.247676i | ||||
\(366\) | −0.156089 | + | 1.48508i | −0.00815888 | + | 0.0776266i | ||||
\(367\) | 16.4680 | − | 10.6944i | 0.859622 | − | 0.558245i | −0.0378664 | − | 0.999283i | \(-0.512056\pi\) |
0.897489 | + | 0.441038i | \(0.145389\pi\) | |||||||
\(368\) | 5.66463 | + | 21.1407i | 0.295289 | + | 1.10203i | ||||
\(369\) | −3.92846 | + | 4.36300i | −0.204507 | + | 0.227128i | ||||
\(370\) | 1.02612 | − | 1.33029i | 0.0533456 | − | 0.0691583i | ||||
\(371\) | 2.47334 | − | 1.41425i | 0.128409 | − | 0.0734240i | ||||
\(372\) | −1.25911 | + | 0.641548i | −0.0652818 | + | 0.0332627i | ||||
\(373\) | −8.19566 | + | 3.14602i | −0.424355 | + | 0.162895i | −0.561168 | − | 0.827702i | \(-0.689648\pi\) |
0.136812 | + | 0.990597i | \(0.456314\pi\) | |||||||
\(374\) | −1.31439 | + | 2.27659i | −0.0679654 | + | 0.117720i | ||||
\(375\) | 10.0544 | + | 4.88973i | 0.519206 | + | 0.252505i | ||||
\(376\) | −4.86050 | + | 2.80621i | −0.250661 | + | 0.144719i | ||||
\(377\) | −0.362344 | + | 2.28775i | −0.0186617 | + | 0.117825i | ||||
\(378\) | −0.351264 | + | 0.348343i | −0.0180671 | + | 0.0179168i | ||||
\(379\) | 25.7609 | + | 8.37022i | 1.32325 | + | 0.429949i | 0.883609 | − | 0.468225i | \(-0.155106\pi\) |
0.439639 | + | 0.898175i | \(0.355106\pi\) | |||||||
\(380\) | 12.1010 | + | 1.62429i | 0.620768 | + | 0.0833243i | ||||
\(381\) | −1.70053 | + | 8.00037i | −0.0871208 | + | 0.409871i | ||||
\(382\) | 0.330192 | − | 0.0884748i | 0.0168941 | − | 0.00452676i | ||||
\(383\) | −27.9225 | + | 1.46335i | −1.42677 | + | 0.0747739i | −0.750009 | − | 0.661428i | \(-0.769951\pi\) |
−0.676762 | + | 0.736202i | \(0.736618\pi\) | |||||||
\(384\) | 4.63129 | + | 3.36483i | 0.236340 | + | 0.171711i | ||||
\(385\) | 13.2040 | − | 7.97012i | 0.672938 | − | 0.406195i | ||||
\(386\) | 1.50592 | − | 1.09411i | 0.0766493 | − | 0.0556890i | ||||
\(387\) | 3.59242 | − | 2.90908i | 0.182613 | − | 0.147877i | ||||
\(388\) | 35.9213 | + | 13.7889i | 1.82363 | + | 0.700025i | ||||
\(389\) | −36.2698 | + | 3.81211i | −1.83895 | + | 0.193282i | −0.959310 | − | 0.282354i | \(-0.908885\pi\) |
−0.879642 | + | 0.475636i | \(0.842218\pi\) | |||||||
\(390\) | −0.108999 | + | 0.0382883i | −0.00551936 | + | 0.00193880i | ||||
\(391\) | −18.2984 | + | 25.1856i | −0.925392 | + | 1.27369i | ||||
\(392\) | −4.06026 | + | 3.23217i | −0.205074 | + | 0.163249i | ||||
\(393\) | 3.61045 | − | 3.61045i | 0.182123 | − | 0.182123i | ||||
\(394\) | −1.57108 | − | 1.41460i | −0.0791498 | − | 0.0712668i | ||||
\(395\) | −15.2104 | + | 1.15837i | −0.765321 | + | 0.0582837i | ||||
\(396\) | 3.42781 | + | 3.80696i | 0.172254 | + | 0.191307i | ||||
\(397\) | −7.70597 | + | 11.8662i | −0.386752 | + | 0.595545i | −0.977404 | − | 0.211381i | \(-0.932204\pi\) |
0.590652 | + | 0.806926i | \(0.298871\pi\) | |||||||
\(398\) | 4.08300 | + | 0.646684i | 0.204662 | + | 0.0324153i | ||||
\(399\) | −7.18466 | − | 1.55853i | −0.359683 | − | 0.0780241i | ||||
\(400\) | −6.88317 | + | 17.6635i | −0.344158 | + | 0.883176i | ||||
\(401\) | −11.4577 | − | 19.8453i | −0.572170 | − | 0.991028i | −0.996343 | − | 0.0854463i | \(-0.972768\pi\) |
0.424173 | − | 0.905581i | \(-0.360565\pi\) | |||||||
\(402\) | −2.03886 | − | 1.65104i | −0.101689 | − | 0.0823462i | ||||
\(403\) | 0.198438 | + | 0.0103997i | 0.00988488 | + | 0.000518045i | ||||
\(404\) | −29.6378 | + | 6.29970i | −1.47453 | + | 0.313422i | ||||
\(405\) | 0.751746 | − | 2.10591i | 0.0373546 | − | 0.104644i | ||||
\(406\) | 2.42346 | + | 3.36506i | 0.120274 | + | 0.167005i | ||||
\(407\) | 7.40738 | + | 7.40738i | 0.367170 | + | 0.367170i | ||||
\(408\) | 0.209251 | + | 3.99274i | 0.0103595 | + | 0.197670i | ||||
\(409\) | 4.99646 | − | 2.22457i | 0.247059 | − | 0.109998i | −0.279471 | − | 0.960154i | \(-0.590159\pi\) |
0.526531 | + | 0.850156i | \(0.323493\pi\) | |||||||
\(410\) | −0.945091 | + | 2.26542i | −0.0466747 | + | 0.111881i | ||||
\(411\) | −3.62440 | + | 8.14054i | −0.178779 | + | 0.401543i | ||||
\(412\) | 13.7300 | − | 2.17461i | 0.676427 | − | 0.107135i | ||||
\(413\) | −9.75852 | + | 14.8903i | −0.480186 | + | 0.732705i | ||||
\(414\) | −0.634428 | − | 0.873215i | −0.0311804 | − | 0.0429162i | ||||
\(415\) | −19.2962 | − | 13.3339i | −0.947211 | − | 0.654535i | ||||
\(416\) | −0.246320 | − | 0.553244i | −0.0120768 | − | 0.0271250i | ||||
\(417\) | −9.66922 | − | 14.8893i | −0.473504 | − | 0.729132i | ||||
\(418\) | 0.350564 | − | 1.30832i | 0.0171466 | − | 0.0639921i | ||||
\(419\) | −9.05965 | − | 27.8827i | −0.442593 | − | 1.36216i | −0.885102 | − | 0.465397i | \(-0.845912\pi\) |
0.442509 | − | 0.896764i | \(-0.354088\pi\) | |||||||
\(420\) | 5.07508 | − | 10.4590i | 0.247639 | − | 0.510349i | ||||
\(421\) | −1.09507 | + | 3.37029i | −0.0533706 | + | 0.164258i | −0.974189 | − | 0.225734i | \(-0.927522\pi\) |
0.920818 | + | 0.389992i | \(0.127522\pi\) | |||||||
\(422\) | 1.09178 | + | 0.709009i | 0.0531470 | + | 0.0345140i | ||||
\(423\) | −4.76410 | + | 5.88317i | −0.231638 | + | 0.286050i | ||||
\(424\) | 0.691408 | + | 0.399184i | 0.0335777 | + | 0.0193861i | ||||
\(425\) | −25.6868 | + | 8.20265i | −1.24599 | + | 0.397887i | ||||
\(426\) | − | 0.439704i | − | 0.0213038i | ||||||
\(427\) | 3.21823 | + | 20.8831i | 0.155741 | + | 1.01060i | ||||
\(428\) | −0.297792 | − | 0.584449i | −0.0143943 | − | 0.0282504i | ||||
\(429\) | −0.149769 | − | 0.704607i | −0.00723091 | − | 0.0340187i | ||||
\(430\) | 1.01400 | − | 1.64533i | 0.0488993 | − | 0.0793450i | ||||
\(431\) | 4.30686 | + | 0.915451i | 0.207454 | + | 0.0440957i | 0.310466 | − | 0.950584i | \(-0.399515\pi\) |
−0.103012 | + | 0.994680i | \(0.532848\pi\) | |||||||
\(432\) | 3.66226 | + | 0.981301i | 0.176201 | + | 0.0472128i | ||||
\(433\) | 15.4930 | − | 30.4067i | 0.744545 | − | 1.46125i | −0.137706 | − | 0.990473i | \(-0.543973\pi\) |
0.882251 | − | 0.470779i | \(-0.156027\pi\) | |||||||
\(434\) | 0.265371 | − | 0.236942i | 0.0127382 | − | 0.0113736i | ||||
\(435\) | −16.4500 | − | 8.98558i | −0.788716 | − | 0.430826i | ||||
\(436\) | 32.0620 | + | 14.2749i | 1.53549 | + | 0.683644i | ||||
\(437\) | 5.74832 | − | 14.9749i | 0.274980 | − | 0.716346i | ||||
\(438\) | −0.195014 | + | 0.508029i | −0.00931813 | + | 0.0242746i | ||||
\(439\) | 13.8626 | + | 6.17204i | 0.661627 | + | 0.294575i | 0.709946 | − | 0.704257i | \(-0.248720\pi\) |
−0.0483183 | + | 0.998832i | \(0.515386\pi\) | |||||||
\(440\) | 3.79281 | + | 2.07177i | 0.180815 | + | 0.0987678i | ||||
\(441\) | −3.55050 | + | 6.03274i | −0.169072 | + | 0.287273i | ||||
\(442\) | 0.126495 | − | 0.248261i | 0.00601677 | − | 0.0118086i | ||||
\(443\) | 36.2199 | + | 9.70509i | 1.72086 | + | 0.461103i | 0.978045 | − | 0.208395i | \(-0.0668240\pi\) |
0.742814 | + | 0.669498i | \(0.233491\pi\) | |||||||
\(444\) | 7.72362 | + | 1.64171i | 0.366547 | + | 0.0779119i | ||||
\(445\) | 10.3757 | − | 16.8358i | 0.491856 | − | 0.798095i | ||||
\(446\) | 0.0681729 | + | 0.320728i | 0.00322808 | + | 0.0151869i | ||||
\(447\) | −2.36857 | − | 4.64858i | −0.112029 | − | 0.219870i | ||||
\(448\) | 17.6892 | + | 6.87512i | 0.835735 | + | 0.324819i | ||||
\(449\) | 31.6248i | 1.49247i | 0.665683 | + | 0.746234i | \(0.268140\pi\) | ||||
−0.665683 | + | 0.746234i | \(0.731860\pi\) | |||||||
\(450\) | 0.00473168 | − | 0.934885i | 0.000223053 | − | 0.0440709i | ||||
\(451\) | −13.2549 | − | 7.65272i | −0.624148 | − | 0.360352i | ||||
\(452\) | 4.88045 | − | 6.02686i | 0.229557 | − | 0.283479i | ||||
\(453\) | −1.82518 | − | 1.18528i | −0.0857543 | − | 0.0556895i | ||||
\(454\) | −0.0864853 | + | 0.266174i | −0.00405896 | + | 0.0124922i | ||||
\(455\) | −1.35339 | + | 0.916858i | −0.0634479 | + | 0.0429830i | ||||
\(456\) | −0.636599 | − | 1.95925i | −0.0298115 | − | 0.0917504i | ||||
\(457\) | 0.232885 | − | 0.869140i | 0.0108939 | − | 0.0406567i | −0.960265 | − | 0.279090i | \(-0.909967\pi\) |
0.971159 | + | 0.238433i | \(0.0766339\pi\) | |||||||
\(458\) | −1.61789 | − | 2.49133i | −0.0755989 | − | 0.116412i | ||||
\(459\) | 2.19351 | + | 4.92670i | 0.102384 | + | 0.229959i | ||||
\(460\) | 20.8671 | + | 14.4194i | 0.972933 | + | 0.672310i | ||||
\(461\) | 6.16399 | + | 8.48401i | 0.287086 | + | 0.395140i | 0.928065 | − | 0.372419i | \(-0.121471\pi\) |
−0.640979 | + | 0.767558i | \(0.721471\pi\) | |||||||
\(462\) | −1.07866 | − | 0.706912i | −0.0501839 | − | 0.0328885i | ||||
\(463\) | −4.76895 | + | 0.755327i | −0.221632 | + | 0.0351030i | −0.266263 | − | 0.963901i | \(-0.585789\pi\) |
0.0446308 | + | 0.999004i | \(0.485789\pi\) | |||||||
\(464\) | 12.9271 | − | 29.0346i | 0.600123 | − | 1.34790i | ||||
\(465\) | −0.619127 | + | 1.48407i | −0.0287113 | + | 0.0688222i | ||||
\(466\) | −3.21295 | + | 1.43050i | −0.148837 | + | 0.0662666i | ||||
\(467\) | −0.288789 | − | 5.51043i | −0.0133636 | − | 0.254992i | −0.997139 | − | 0.0755884i | \(-0.975916\pi\) |
0.983776 | − | 0.179404i | \(-0.0574168\pi\) | |||||||
\(468\) | −0.383941 | − | 0.383941i | −0.0177477 | − | 0.0177477i | ||||
\(469\) | −33.8500 | − | 15.2407i | −1.56305 | − | 0.703748i | ||||
\(470\) | −1.06408 | + | 2.98087i | −0.0490824 | + | 0.137497i | ||||
\(471\) | 11.1700 | − | 2.37426i | 0.514688 | − | 0.109400i | ||||
\(472\) | −4.98187 | − | 0.261089i | −0.229309 | − | 0.0120176i | ||||
\(473\) | 9.36529 | + | 7.58387i | 0.430617 | + | 0.348707i | ||||
\(474\) | 0.637788 | + | 1.10468i | 0.0292946 | + | 0.0507397i | ||||
\(475\) | 11.6902 | − | 7.50789i | 0.536385 | − | 0.344485i | ||||
\(476\) | 8.55278 | + | 26.7016i | 0.392016 | + | 1.22387i | ||||
\(477\) | 1.06361 | + | 0.168459i | 0.0486993 | + | 0.00771322i | ||||
\(478\) | 0.520673 | − | 0.801766i | 0.0238150 | − | 0.0366719i | ||||
\(479\) | 25.7989 | + | 28.6526i | 1.17878 | + | 1.30917i | 0.941219 | + | 0.337797i | \(0.109682\pi\) |
0.237562 | + | 0.971372i | \(0.423652\pi\) | |||||||
\(480\) | 4.88661 | − | 0.372144i | 0.223042 | − | 0.0169860i | ||||
\(481\) | −0.825138 | − | 0.742958i | −0.0376231 | − | 0.0338760i | ||||
\(482\) | −0.419303 | + | 0.419303i | −0.0190987 | + | 0.0190987i | ||||
\(483\) | −11.8290 | − | 9.66096i | −0.538236 | − | 0.439589i | ||||
\(484\) | 4.85543 | − | 6.68293i | 0.220702 | − | 0.303770i | ||||
\(485\) | 41.3094 | − | 14.5109i | 1.87576 | − | 0.658905i | ||||
\(486\) | −0.185955 | + | 0.0195447i | −0.00843510 | + | 0.000886564i | ||||
\(487\) | 31.2150 | + | 11.9823i | 1.41448 | + | 0.542970i | 0.941173 | − | 0.337925i | \(-0.109725\pi\) |
0.473312 | + | 0.880895i | \(0.343058\pi\) | |||||||
\(488\) | −4.60137 | + | 3.72611i | −0.208294 | + | 0.168673i | ||||
\(489\) | −16.3988 | + | 11.9144i | −0.741580 | + | 0.538789i | ||||
\(490\) | −0.564629 | + | 2.87171i | −0.0255073 | + | 0.129731i | ||||
\(491\) | 0.804141 | + | 0.584242i | 0.0362904 | + | 0.0263665i | 0.605783 | − | 0.795630i | \(-0.292860\pi\) |
−0.569492 | + | 0.821997i | \(0.692860\pi\) | |||||||
\(492\) | −11.5209 | + | 0.603785i | −0.519403 | + | 0.0272207i | ||||
\(493\) | 43.6667 | − | 11.7004i | 1.96665 | − | 0.526962i | ||||
\(494\) | −0.0298486 | + | 0.140426i | −0.00134295 | + | 0.00631809i | ||||
\(495\) | 5.77752 | + | 0.775504i | 0.259680 | + | 0.0348563i | ||||
\(496\) | −2.59313 | − | 0.842558i | −0.116435 | − | 0.0378320i | ||||
\(497\) | −1.58521 | − | 6.01647i | −0.0711065 | − | 0.269875i | ||||
\(498\) | −0.306814 | + | 1.93715i | −0.0137487 | + | 0.0868058i | ||||
\(499\) | −36.2059 | + | 20.9035i | −1.62080 | + | 0.935769i | −0.634094 | + | 0.773256i | \(0.718627\pi\) |
−0.986706 | + | 0.162513i | \(0.948040\pi\) | |||||||
\(500\) | 7.17624 | + | 20.7647i | 0.320931 | + | 0.928627i | ||||
\(501\) | 11.3288 | − | 19.6220i | 0.506132 | − | 0.876647i | ||||
\(502\) | 3.58197 | − | 1.37499i | 0.159871 | − | 0.0613688i | ||||
\(503\) | −6.02758 | + | 3.07121i | −0.268756 | + | 0.136938i | −0.583176 | − | 0.812346i | \(-0.698190\pi\) |
0.314419 | + | 0.949284i | \(0.398190\pi\) | |||||||
\(504\) | −1.96149 | − | 0.00819021i | −0.0873718 | − | 0.000364821i | ||||
\(505\) | −21.0587 | + | 27.3008i | −0.937098 | + | 1.21487i | ||||
\(506\) | 1.88282 | − | 2.09108i | 0.0837015 | − | 0.0929599i | ||||
\(507\) | −3.34489 | − | 12.4833i | −0.148552 | − | 0.554402i | ||||
\(508\) | −13.4793 | + | 8.75357i | −0.598048 | + | 0.388377i | ||||
\(509\) | −0.0787569 | + | 0.749322i | −0.00349084 | + | 0.0332131i | −0.996129 | − | 0.0879073i | \(-0.971982\pi\) |
0.992638 | + | 0.121120i | \(0.0386487\pi\) | |||||||
\(510\) | 1.54795 | + | 1.63948i | 0.0685442 | + | 0.0725976i | ||||
\(511\) | −0.836839 | + | 7.65441i | −0.0370196 | + | 0.338611i | ||||
\(512\) | 2.17937 | + | 13.7600i | 0.0963153 | + | 0.608111i | ||||
\(513\) | −1.74870 | − | 2.15946i | −0.0772068 | − | 0.0953425i | ||||
\(514\) | 0.363801 | + | 3.46134i | 0.0160466 | + | 0.152673i | ||||
\(515\) | 10.3037 | − | 12.0024i | 0.454033 | − | 0.528888i | ||||
\(516\) | 9.03379 | + | 0.949490i | 0.397690 | + | 0.0417990i | ||||
\(517\) | −17.5843 | − | 8.95963i | −0.773355 | − | 0.394044i | ||||
\(518\) | −1.98556 | + | 0.0957473i | −0.0872406 | + | 0.00420689i | ||||
\(519\) | −8.86425 | + | 2.88017i | −0.389098 | + | 0.126425i | ||||
\(520\) | −0.412949 | − | 0.198251i | −0.0181090 | − | 0.00869388i | ||||
\(521\) | 9.03159 | − | 8.13208i | 0.395681 | − | 0.356273i | −0.447142 | − | 0.894463i | \(-0.647558\pi\) |
0.842824 | + | 0.538190i | \(0.180892\pi\) | |||||||
\(522\) | −0.0820303 | + | 1.56523i | −0.00359037 | + | 0.0685083i | ||||
\(523\) | 10.4610 | + | 27.2518i | 0.457427 | + | 1.19164i | 0.947443 | + | 0.319925i | \(0.103658\pi\) |
−0.490015 | + | 0.871714i | \(0.663009\pi\) | |||||||
\(524\) | 10.0334 | 0.438310 | ||||||||
\(525\) | −3.30568 | − | 12.8091i | −0.144272 | − | 0.559034i | ||||
\(526\) | 4.23647 | 0.184719 | ||||||||
\(527\) | −1.38985 | − | 3.62067i | −0.0605426 | − | 0.157719i | ||||
\(528\) | −0.517297 | + | 9.87062i | −0.0225125 | + | 0.429564i | ||||
\(529\) | 7.67119 | − | 6.90717i | 0.333530 | − | 0.300312i | ||||
\(530\) | 0.442904 | − | 0.0809286i | 0.0192385 | − | 0.00351532i | ||||
\(531\) | −6.39960 | + | 2.07936i | −0.277719 | + | 0.0902364i | ||||
\(532\) | −7.81747 | − | 12.1486i | −0.338930 | − | 0.526709i | ||||
\(533\) | 1.44544 | + | 0.736489i | 0.0626090 | + | 0.0319009i | ||||
\(534\) | −1.64463 | − | 0.172857i | −0.0711700 | − | 0.00748027i | ||||
\(535\) | −0.688871 | − | 0.287384i | −0.0297825 | − | 0.0124247i | ||||
\(536\) | −1.08734 | − | 10.3454i | −0.0469661 | − | 0.446853i | ||||
\(537\) | 12.4708 | + | 15.4002i | 0.538155 | + | 0.664567i | ||||
\(538\) | 0.300958 | + | 1.90018i | 0.0129752 | + | 0.0819224i | ||||
\(539\) | −17.3079 | − | 5.78390i | −0.745502 | − | 0.249130i | ||||
\(540\) | 3.97070 | − | 1.88161i | 0.170872 | − | 0.0809714i | ||||
\(541\) | −3.02987 | + | 28.8273i | −0.130264 | + | 1.23938i | 0.712722 | + | 0.701447i | \(0.247462\pi\) |
−0.842986 | + | 0.537936i | \(0.819204\pi\) | |||||||
\(542\) | 2.81473 | − | 1.82791i | 0.120903 | − | 0.0785153i | ||||
\(543\) | 4.62144 | + | 17.2475i | 0.198325 | + | 0.740159i | ||||
\(544\) | −7.90888 | + | 8.78370i | −0.339090 | + | 0.376598i | ||||
\(545\) | 38.3208 | − | 11.2457i | 1.64148 | − | 0.481715i | ||||
\(546\) | 0.118095 | + | 0.0688410i | 0.00505398 | + | 0.00294612i | ||||
\(547\) | −15.9880 | + | 8.14631i | −0.683599 | + | 0.348311i | −0.761057 | − | 0.648685i | \(-0.775319\pi\) |
0.0774585 | + | 0.996996i | \(0.475319\pi\) | |||||||
\(548\) | −16.3473 | + | 6.27514i | −0.698322 | + | 0.268061i | ||||
\(549\) | −3.99312 | + | 6.91630i | −0.170422 | + | 0.295180i | ||||
\(550\) | 2.38651 | − | 0.494658i | 0.101761 | − | 0.0210923i | ||||
\(551\) | −20.1722 | + | 11.6464i | −0.859365 | + | 0.496155i | ||||
\(552\) | 0.669489 | − | 4.22699i | 0.0284953 | − | 0.179912i | ||||
\(553\) | 12.7094 | + | 12.8160i | 0.540460 | + | 0.544992i | ||||
\(554\) | −2.32817 | − | 0.756467i | −0.0989143 | − | 0.0321392i | ||||
\(555\) | 7.90722 | − | 4.26739i | 0.335643 | − | 0.181141i | ||||
\(556\) | 7.25325 | − | 34.1238i | 0.307606 | − | 1.44717i | ||||
\(557\) | 41.7258 | − | 11.1804i | 1.76798 | − | 0.473729i | 0.779670 | − | 0.626190i | \(-0.215387\pi\) |
0.988309 | + | 0.152462i | \(0.0487200\pi\) | |||||||
\(558\) | 0.134280 | − | 0.00703729i | 0.00568450 | − | 0.000297912i | ||||
\(559\) | −1.03336 | − | 0.750778i | −0.0437063 | − | 0.0317545i | ||||
\(560\) | 21.1937 | − | 7.34551i | 0.895597 | − | 0.310404i | ||||
\(561\) | −11.3741 | + | 8.26378i | −0.480216 | + | 0.348897i | ||||
\(562\) | 2.47180 | − | 2.00162i | 0.104266 | − | 0.0844333i | ||||
\(563\) | 1.47410 | + | 0.565854i | 0.0621259 | + | 0.0238479i | 0.389232 | − | 0.921140i | \(-0.372740\pi\) |
−0.327107 | + | 0.944987i | \(0.606074\pi\) | |||||||
\(564\) | −14.7943 | + | 1.55494i | −0.622952 | + | 0.0654749i | ||||
\(565\) | −0.208680 | − | 8.82228i | −0.00877923 | − | 0.371156i | ||||
\(566\) | −3.54444 | + | 4.87850i | −0.148984 | + | 0.205059i | ||||
\(567\) | −2.47396 | + | 0.937831i | −0.103897 | + | 0.0393852i | ||||
\(568\) | 1.23280 | − | 1.23280i | 0.0517272 | − | 0.0517272i | ||||
\(569\) | 6.47761 | + | 5.83246i | 0.271555 | + | 0.244510i | 0.793645 | − | 0.608381i | \(-0.208181\pi\) |
−0.522090 | + | 0.852891i | \(0.674847\pi\) | |||||||
\(570\) | −0.989035 | − | 0.609530i | −0.0414261 | − | 0.0255304i | ||||
\(571\) | −30.2196 | − | 33.5623i | −1.26465 | − | 1.40454i | −0.875396 | − | 0.483406i | \(-0.839399\pi\) |
−0.389254 | − | 0.921130i | \(-0.627267\pi\) | |||||||
\(572\) | 0.770943 | − | 1.18715i | 0.0322347 | − | 0.0496372i | ||||
\(573\) | 1.80572 | + | 0.285997i | 0.0754349 | + | 0.0119477i | ||||
\(574\) | 2.76596 | − | 0.885963i | 0.115449 | − | 0.0369794i | ||||
\(575\) | 28.7197 | − | 2.87167i | 1.19769 | − | 0.119757i | ||||
\(576\) | 3.58655 | + | 6.21209i | 0.149440 | + | 0.258837i | ||||
\(577\) | −16.9503 | − | 13.7261i | −0.705651 | − | 0.571425i | 0.207900 | − | 0.978150i | \(-0.433337\pi\) |
−0.913550 | + | 0.406725i | \(0.866671\pi\) | |||||||
\(578\) | −2.25633 | − | 0.118249i | −0.0938510 | − | 0.00491852i | ||||
\(579\) | 9.73766 | − | 2.06980i | 0.404683 | − | 0.0860181i | ||||
\(580\) | −10.3717 | − | 35.3425i | −0.430662 | − | 1.46752i | ||||
\(581\) | 2.78563 | + | 27.6121i | 0.115568 | + | 1.14554i | ||||
\(582\) | −2.58886 | − | 2.58886i | −0.107312 | − | 0.107312i | ||||
\(583\) | 0.146925 | + | 2.80350i | 0.00608503 | + | 0.116109i | ||||
\(584\) | −1.97113 | + | 0.877601i | −0.0815657 | + | 0.0363154i | ||||
\(585\) | −0.615835 | − | 0.0500357i | −0.0254616 | − | 0.00206872i | ||||
\(586\) | −1.07786 | + | 2.42090i | −0.0445258 | + | 0.100007i | ||||
\(587\) | −30.7247 | + | 4.86631i | −1.26814 | + | 0.200854i | −0.754014 | − | 0.656859i | \(-0.771885\pi\) |
−0.514129 | + | 0.857713i | \(0.671885\pi\) | |||||||
\(588\) | −13.3158 | + | 3.44905i | −0.549136 | + | 0.142236i | ||||
\(589\) | 1.17455 | + | 1.61663i | 0.0483966 | + | 0.0666122i | ||||
\(590\) | −2.23632 | + | 1.70701i | −0.0920677 | + | 0.0702766i | ||||
\(591\) | −4.59879 | − | 10.3291i | −0.189169 | − | 0.424880i | ||||
\(592\) | 8.29774 | + | 12.7774i | 0.341035 | + | 0.525148i | ||||
\(593\) | 3.06428 | − | 11.4360i | 0.125835 | − | 0.469622i | −0.874033 | − | 0.485866i | \(-0.838504\pi\) |
0.999868 | + | 0.0162440i | \(0.00517086\pi\) | |||||||
\(594\) | −0.150630 | − | 0.463590i | −0.00618041 | − | 0.0190213i | ||||
\(595\) | 27.0911 | + | 16.8524i | 1.11063 | + | 0.690881i | ||||
\(596\) | 3.16806 | − | 9.75027i | 0.129769 | − | 0.399387i | ||||
\(597\) | 18.5420 | + | 12.0413i | 0.758875 | + | 0.492819i | ||||
\(598\) | −0.187691 | + | 0.231779i | −0.00767525 | + | 0.00947815i | ||||
\(599\) | −9.45462 | − | 5.45863i | −0.386305 | − | 0.223033i | 0.294253 | − | 0.955728i | \(-0.404929\pi\) |
−0.680558 | + | 0.732694i | \(0.738263\pi\) | |||||||
\(600\) | 2.63441 | − | 2.60788i | 0.107549 | − | 0.106466i | ||||
\(601\) | 47.3523i | 1.93154i | 0.259398 | + | 0.965771i | \(0.416476\pi\) | ||||
−0.259398 | + | 0.965771i | \(0.583524\pi\) | |||||||
\(602\) | −2.26012 | + | 0.348300i | −0.0921155 | + | 0.0141956i | ||||
\(603\) | −6.36998 | − | 12.5018i | −0.259406 | − | 0.509112i | ||||
\(604\) | −0.889127 | − | 4.18301i | −0.0361780 | − | 0.170204i | ||||
\(605\) | −0.713791 | − | 9.37276i | −0.0290197 | − | 0.381057i | ||||
\(606\) | 2.82012 | + | 0.599436i | 0.114560 | + | 0.0243504i | ||||
\(607\) | −15.5536 | − | 4.16758i | −0.631302 | − | 0.169157i | −0.0710415 | − | 0.997473i | \(-0.522632\pi\) |
−0.560260 | + | 0.828316i | \(0.689299\pi\) | |||||||
\(608\) | 2.76482 | − | 5.42627i | 0.112128 | − | 0.220064i | ||||
\(609\) | 4.52052 | + | 21.7128i | 0.183181 | + | 0.879846i | ||||
\(610\) | −0.616798 | + | 3.28158i | −0.0249734 | + | 0.132867i | ||||
\(611\) | 1.91094 | + | 0.850806i | 0.0773084 | + | 0.0344199i | ||||
\(612\) | −3.79775 | + | 9.89347i | −0.153515 | + | 0.399920i | ||||
\(613\) | −9.25246 | + | 24.1035i | −0.373703 | + | 0.973530i | 0.609786 | + | 0.792566i | \(0.291255\pi\) |
−0.983490 | + | 0.180965i | \(0.942078\pi\) | |||||||
\(614\) | 2.04471 | + | 0.910363i | 0.0825177 | + | 0.0367393i | ||||
\(615\) | −9.54550 | + | 9.01255i | −0.384912 | + | 0.363421i | ||||
\(616\) | −1.04228 | − | 5.00623i | −0.0419946 | − | 0.201707i | ||||
\(617\) | 8.89675 | − | 17.4609i | 0.358170 | − | 0.702948i | −0.639669 | − | 0.768650i | \(-0.720929\pi\) |
0.997839 | + | 0.0657023i | \(0.0209288\pi\) | |||||||
\(618\) | −1.27766 | − | 0.342348i | −0.0513951 | − | 0.0137713i | ||||
\(619\) | 8.32194 | + | 1.76888i | 0.334487 | + | 0.0710974i | 0.372094 | − | 0.928195i | \(-0.378640\pi\) |
−0.0376066 | + | 0.999293i | \(0.511973\pi\) | |||||||
\(620\) | −2.92238 | + | 1.20183i | −0.117366 | + | 0.0482668i | ||||
\(621\) | −1.20019 | − | 5.64643i | −0.0481618 | − | 0.226583i | ||||
\(622\) | 0.600562 | + | 1.17867i | 0.0240803 | + | 0.0472603i | ||||
\(623\) | −23.1266 | + | 3.56397i | −0.926547 | + | 0.142787i | ||||
\(624\) | − | 1.04764i | − | 0.0419394i | ||||||
\(625\) | 21.5230 | + | 12.7185i | 0.860920 | + | 0.508740i | ||||
\(626\) | −2.34819 | − | 1.35573i | −0.0938524 | − | 0.0541857i | ||||
\(627\) | 4.55878 | − | 5.62962i | 0.182060 | − | 0.224826i | ||||
\(628\) | 18.8197 | + | 12.2217i | 0.750988 | + | 0.487697i | ||||
\(629\) | −6.69658 | + | 20.6100i | −0.267010 | + | 0.821773i | ||||
\(630\) | −0.845949 | + | 0.712753i | −0.0337034 | + | 0.0283968i | ||||
\(631\) | −10.1118 | − | 31.1209i | −0.402544 | − | 1.23890i | −0.922929 | − | 0.384970i | \(-0.874212\pi\) |
0.520385 | − | 0.853932i | \(-0.325788\pi\) | |||||||
\(632\) | −1.30903 | + | 4.88537i | −0.0520705 | + | 0.194330i | ||||
\(633\) | 3.79191 | + | 5.83903i | 0.150715 | + | 0.232081i | ||||
\(634\) | 1.37472 | + | 3.08768i | 0.0545973 | + | 0.122627i | ||||
\(635\) | −5.23872 | + | 17.5227i | −0.207892 | + | 0.695366i | ||||
\(636\) | 1.24380 | + | 1.71195i | 0.0493201 | + | 0.0678832i | ||||
\(637\) | 1.86407 | + | 0.516198i | 0.0738571 | + | 0.0204525i | ||||
\(638\) | −4.03579 | + | 0.639206i | −0.159778 | + | 0.0253064i | ||||
\(639\) | 0.956490 | − | 2.14831i | 0.0378381 | − | 0.0849859i | ||||
\(640\) | 9.71257 | + | 8.33792i | 0.383923 | + | 0.329585i | ||||
\(641\) | 6.46950 | − | 2.88041i | 0.255530 | − | 0.113769i | −0.274974 | − | 0.961452i | \(-0.588669\pi\) |
0.530504 | + | 0.847682i | \(0.322003\pi\) | |||||||
\(642\) | 0.00326654 | + | 0.0623294i | 0.000128920 | + | 0.00245994i | ||||
\(643\) | 7.85246 | + | 7.85246i | 0.309671 | + | 0.309671i | 0.844782 | − | 0.535111i | \(-0.179730\pi\) |
−0.535111 | + | 0.844782i | \(0.679730\pi\) | |||||||
\(644\) | −3.01242 | − | 29.8601i | −0.118706 | − | 1.17665i | ||||
\(645\) | 8.53329 | − | 5.83303i | 0.335998 | − | 0.229675i | ||||
\(646\) | 2.74073 | − | 0.582561i | 0.107833 | − | 0.0229205i | ||||
\(647\) | 4.73051 | + | 0.247915i | 0.185975 | + | 0.00974656i | 0.145096 | − | 0.989418i | \(-0.453651\pi\) |
0.0408791 | + | 0.999164i | \(0.486984\pi\) | |||||||
\(648\) | −0.576161 | − | 0.466566i | −0.0226337 | − | 0.0183284i | ||||
\(649\) | −8.77104 | − | 15.1919i | −0.344293 | − | 0.596334i | ||||
\(650\) | −0.249861 | + | 0.0655965i | −0.00980036 | + | 0.00257291i | ||||
\(651\) | 1.81197 | − | 0.580393i | 0.0710168 | − | 0.0227474i | ||||
\(652\) | −39.3410 | − | 6.23101i | −1.54071 | − | 0.244025i | ||||
\(653\) | −3.55213 | + | 5.46979i | −0.139005 | + | 0.214050i | −0.901316 | − | 0.433161i | \(-0.857398\pi\) |
0.762311 | + | 0.647211i | \(0.224065\pi\) | |||||||
\(654\) | −2.23457 | − | 2.48174i | −0.0873785 | − | 0.0970437i | ||||
\(655\) | 8.70048 | − | 7.39291i | 0.339956 | − | 0.288865i | ||||
\(656\) | −16.5421 | − | 14.8946i | −0.645860 | − | 0.581535i | ||||
\(657\) | −2.05792 | + | 2.05792i | −0.0802870 | + | 0.0802870i | ||||
\(658\) | 3.50183 | − | 1.32748i | 0.136516 | − | 0.0517505i | ||||
\(659\) | 6.62055 | − | 9.11240i | 0.257900 | − | 0.354969i | −0.660358 | − | 0.750951i | \(-0.729596\pi\) |
0.918258 | + | 0.395982i | \(0.129596\pi\) | |||||||
\(660\) | 6.95027 | + | 9.10538i | 0.270539 | + | 0.354426i | ||||
\(661\) | −35.1422 | + | 3.69360i | −1.36687 | + | 0.143664i | −0.759374 | − | 0.650655i | \(-0.774495\pi\) |
−0.607501 | + | 0.794319i | \(0.707828\pi\) | |||||||
\(662\) | 2.69506 | + | 1.03454i | 0.104747 | + | 0.0402085i | ||||
\(663\) | 1.15807 | − | 0.937790i | 0.0449759 | − | 0.0364208i | ||||
\(664\) | −6.29142 | + | 4.57098i | −0.244154 | + | 0.177388i | ||||
\(665\) | −15.7304 | − | 4.77454i | −0.609999 | − | 0.185149i | ||||
\(666\) | −0.607850 | − | 0.441629i | −0.0235537 | − | 0.0171128i | ||||
\(667\) | −48.3230 | + | 2.53250i | −1.87108 | + | 0.0980589i | ||||
\(668\) | 43.0059 | − | 11.5234i | 1.66395 | − | 0.445853i | ||||
\(669\) | −0.364601 | + | 1.71531i | −0.0140963 | + | 0.0663178i | ||||
\(670\) | −4.24509 | − | 4.04890i | −0.164002 | − | 0.156423i | ||||
\(671\) | −19.8008 | − | 6.43368i | −0.764403 | − | 0.248369i | ||||
\(672\) | −4.08311 | − | 4.11735i | −0.157509 | − | 0.158830i | ||||
\(673\) | 6.39172 | − | 40.3558i | 0.246383 | − | 1.55560i | −0.485541 | − | 0.874214i | \(-0.661377\pi\) |
0.731924 | − | 0.681386i | \(-0.238623\pi\) | |||||||
\(674\) | −2.62586 | + | 1.51604i | −0.101144 | + | 0.0583956i | ||||
\(675\) | 2.05678 | − | 4.55738i | 0.0791653 | − | 0.175413i | ||||
\(676\) | 12.6977 | − | 21.9931i | 0.488374 | − | 0.845889i | ||||
\(677\) | −16.4969 | + | 6.33256i | −0.634027 | + | 0.243380i | −0.654088 | − | 0.756419i | \(-0.726947\pi\) |
0.0200608 | + | 0.999799i | \(0.493614\pi\) | |||||||
\(678\) | −0.657494 | + | 0.335010i | −0.0252509 | + | 0.0128660i | ||||
\(679\) | −44.7566 | − | 26.0900i | −1.71760 | − | 1.00124i | ||||
\(680\) | −0.256646 | + | 8.93662i | −0.00984191 | + | 0.342704i | ||||
\(681\) | −1.00156 | + | 1.11235i | −0.0383799 | + | 0.0426252i | ||||
\(682\) | 0.0907268 | + | 0.338597i | 0.00347411 | + | 0.0129656i | ||||
\(683\) | 24.5012 | − | 15.9112i | 0.937511 | − | 0.608827i | 0.0171315 | − | 0.999853i | \(-0.494547\pi\) |
0.920379 | + | 0.391027i | \(0.127880\pi\) | |||||||
\(684\) | 0.570753 | − | 5.43035i | 0.0218233 | − | 0.207635i | ||||
\(685\) | −9.55189 | + | 17.4867i | −0.364959 | + | 0.668133i | ||||
\(686\) | 3.02042 | − | 1.69375i | 0.115320 | − | 0.0646678i | ||||
\(687\) | −2.48529 | − | 15.6915i | −0.0948199 | − | 0.598669i | ||||
\(688\) | 11.0297 | + | 13.6205i | 0.420502 | + | 0.519277i | ||||
\(689\) | −0.0311032 | − | 0.295927i | −0.00118494 | − | 0.0112739i | ||||
\(690\) | −1.25584 | − | 2.06104i | −0.0478091 | − | 0.0784623i | ||||
\(691\) | −34.6364 | − | 3.64043i | −1.31763 | − | 0.138488i | −0.580511 | − | 0.814252i | \(-0.697147\pi\) |
−0.737118 | + | 0.675764i | \(0.763814\pi\) | |||||||
\(692\) | −16.3188 | − | 8.31484i | −0.620347 | − | 0.316083i | ||||
\(693\) | −3.73239 | − | 5.80025i | −0.141782 | − | 0.220333i | ||||
\(694\) | −0.193897 | + | 0.0630008i | −0.00736022 | + | 0.00239148i | ||||
\(695\) | −18.8539 | − | 34.9350i | −0.715167 | − | 1.32516i | ||||
\(696\) | −4.61844 | + | 4.15846i | −0.175061 | + | 0.157626i | ||||
\(697\) | 1.65706 | − | 31.6185i | 0.0627655 | − | 1.19764i | ||||
\(698\) | −0.179971 | − | 0.468841i | −0.00681201 | − | 0.0177459i | ||||
\(699\) | −18.8096 | −0.711446 | ||||||||
\(700\) | 13.2049 | − | 22.3913i | 0.499098 | − | 0.846313i | ||||
\(701\) | 38.7867 | 1.46495 | 0.732477 | − | 0.680792i | \(-0.238364\pi\) | ||||
0.732477 | + | 0.680792i | \(0.238364\pi\) | |||||||
\(702\) | 0.0185153 | + | 0.0482341i | 0.000698816 | + | 0.00182048i | ||||
\(703\) | 0.584370 | − | 11.1504i | 0.0220399 | − | 0.420547i | ||||
\(704\) | −13.8968 | + | 12.5127i | −0.523756 | + | 0.471592i | ||||
\(705\) | −11.6832 | + | 12.2493i | −0.440014 | + | 0.461335i | ||||
\(706\) | 1.36734 | − | 0.444276i | 0.0514605 | − | 0.0167205i | ||||
\(707\) | 40.7488 | − | 1.96498i | 1.53252 | − | 0.0739006i | ||||
\(708\) | −11.7814 | − | 6.00295i | −0.442774 | − | 0.225605i | ||||
\(709\) | 39.3668 | + | 4.13762i | 1.47845 | + | 0.155392i | 0.809152 | − | 0.587600i | \(-0.199927\pi\) |
0.669301 | + | 0.742991i | \(0.266594\pi\) | |||||||
\(710\) | 0.0796219 | − | 0.979980i | 0.00298816 | − | 0.0367780i | ||||
\(711\) | 0.713095 | + | 6.78464i | 0.0267431 | + | 0.254444i | ||||
\(712\) | −4.12641 | − | 5.09569i | −0.154644 | − | 0.190969i | ||||
\(713\) | 0.649402 | + | 4.10016i | 0.0243203 | + | 0.153552i | ||||
\(714\) | 0.289947 | − | 2.65209i | 0.0108510 | − | 0.0992521i | ||||
\(715\) | −0.206203 | − | 1.59749i | −0.00771155 | − | 0.0597429i | ||||
\(716\) | −4.07032 | + | 38.7265i | −0.152115 | + | 1.44728i | ||||
\(717\) | 4.28799 | − | 2.78465i | 0.160138 | − | 0.103995i | ||||
\(718\) | 1.37889 | + | 5.14607i | 0.0514595 | + | 0.192050i | ||||
\(719\) | −4.21421 | + | 4.68035i | −0.157163 | + | 0.174548i | −0.816584 | − | 0.577226i | \(-0.804135\pi\) |
0.659421 | + | 0.751774i | \(0.270802\pi\) | |||||||
\(720\) | 7.98448 | + | 2.85021i | 0.297564 | + | 0.106221i | ||||
\(721\) | −18.7165 | − | 0.0781505i | −0.697037 | − | 0.00291048i | ||||
\(722\) | 1.87905 | − | 0.957422i | 0.0699309 | − | 0.0356316i | ||||
\(723\) | −2.96075 | + | 1.13652i | −0.110111 | + | 0.0422678i | ||||
\(724\) | −17.5437 | + | 30.3867i | −0.652008 | + | 1.12931i | ||||
\(725\) | −35.0353 | − | 23.0052i | −1.30118 | − | 0.854390i | ||||
\(726\) | −0.680711 | + | 0.393009i | −0.0252636 | + | 0.0145859i | ||||
\(727\) | −2.23769 | + | 14.1282i | −0.0829914 | + | 0.523987i | 0.910811 | + | 0.412824i | \(0.135458\pi\) |
−0.993802 | + | 0.111163i | \(0.964542\pi\) | |||||||
\(728\) | 0.138092 | + | 0.524112i | 0.00511805 | + | 0.0194249i | ||||
\(729\) | −0.951057 | − | 0.309017i | −0.0352243 | − | 0.0114451i | ||||
\(730\) | −0.526626 | + | 1.09694i | −0.0194913 | + | 0.0405997i | ||||
\(731\) | −5.18310 | + | 24.3845i | −0.191704 | + | 0.901895i | ||||
\(732\) | −15.1586 | + | 4.06172i | −0.560276 | + | 0.150126i | ||||
\(733\) | 37.0756 | − | 1.94305i | 1.36942 | − | 0.0717682i | 0.646612 | − | 0.762819i | \(-0.276185\pi\) |
0.722806 | + | 0.691051i | \(0.242852\pi\) | |||||||
\(734\) | −2.97030 | − | 2.15805i | −0.109636 | − | 0.0796551i | ||||
\(735\) | −9.00550 | + | 12.8024i | −0.332173 | + | 0.472223i | ||||
\(736\) | 10.2354 | − | 7.43646i | 0.377282 | − | 0.274112i | ||||
\(737\) | 28.4268 | − | 23.0196i | 1.04711 | − | 0.847937i | ||||
\(738\) | 1.02484 | + | 0.393400i | 0.0377250 | + | 0.0144813i | ||||
\(739\) | −2.27851 | + | 0.239481i | −0.0838162 | + | 0.00880944i | −0.146344 | − | 0.989234i | \(-0.546751\pi\) |
0.0625275 | + | 0.998043i | \(0.480084\pi\) | |||||||
\(740\) | 16.9165 | + | 5.05750i | 0.621864 | + | 0.185918i | ||||
\(741\) | −0.451304 | + | 0.621167i | −0.0165791 | + | 0.0228191i | ||||
\(742\) | −0.412604 | − | 0.336982i | −0.0151472 | − | 0.0123710i | ||||
\(743\) | 22.1491 | − | 22.1491i | 0.812572 | − | 0.812572i | −0.172447 | − | 0.985019i | \(-0.555167\pi\) |
0.985019 | + | 0.172447i | \(0.0551673\pi\) | |||||||
\(744\) | 0.396211 | + | 0.356750i | 0.0145258 | + | 0.0130791i | ||||
\(745\) | −4.43712 | − | 10.7893i | −0.162564 | − | 0.395289i | ||||
\(746\) | 1.09834 | + | 1.21983i | 0.0402131 | + | 0.0446612i | ||||
\(747\) | −5.71292 | + | 8.79713i | −0.209025 | + | 0.321870i | ||||
\(748\) | −27.2867 | − | 4.32179i | −0.997701 | − | 0.158020i | ||||
\(749\) | 0.269405 | + | 0.841075i | 0.00984383 | + | 0.0307322i | ||||
\(750\) | 0.179835 | − | 2.08274i | 0.00656665 | − | 0.0760511i | ||||
\(751\) | 9.41052 | + | 16.2995i | 0.343395 | + | 0.594777i | 0.985061 | − | 0.172207i | \(-0.0550898\pi\) |
−0.641666 | + | 0.766984i | \(0.721756\pi\) | |||||||
\(752\) | −22.3058 | − | 18.0629i | −0.813408 | − | 0.658685i | ||||
\(753\) | 20.4918 | + | 1.07393i | 0.746764 | + | 0.0391362i | ||||
\(754\) | 0.423630 | − | 0.0900454i | 0.0154277 | − | 0.00327926i | ||||
\(755\) | −3.85318 | − | 2.97217i | −0.140232 | − | 0.108168i | ||||
\(756\) | −4.74066 | − | 2.13444i | −0.172416 | − | 0.0776288i | ||||
\(757\) | 31.9274 | + | 31.9274i | 1.16042 | + | 1.16042i | 0.984384 | + | 0.176035i | \(0.0563273\pi\) |
0.176035 | + | 0.984384i | \(0.443673\pi\) | |||||||
\(758\) | −0.265063 | − | 5.05770i | −0.00962751 | − | 0.183704i | ||||
\(759\) | 13.7478 | − | 6.12092i | 0.499014 | − | 0.222175i | ||||
\(760\) | −1.06402 | − | 4.48191i | −0.0385961 | − | 0.162576i | ||||
\(761\) | −11.2371 | + | 25.2388i | −0.407343 | + | 0.914907i | 0.587089 | + | 0.809523i | \(0.300274\pi\) |
−0.994432 | + | 0.105384i | \(0.966393\pi\) | |||||||
\(762\) | 1.51049 | − | 0.239239i | 0.0547195 | − | 0.00866671i | ||||
\(763\) | −39.5227 | − | 25.9016i | −1.43082 | − | 0.937700i | ||||
\(764\) | 2.11164 | + | 2.90642i | 0.0763963 | + | 0.105151i | ||||
\(765\) | 3.99659 | + | 11.3775i | 0.144497 | + | 0.411353i | ||||
\(766\) | 2.12646 | + | 4.77610i | 0.0768320 | + | 0.172568i | ||||
\(767\) | 1.01266 | + | 1.55936i | 0.0365650 | + | 0.0563052i | ||||
\(768\) | −3.43604 | + | 12.8235i | −0.123987 | + | 0.462727i | ||||
\(769\) | 0.0187511 | + | 0.0577099i | 0.000676181 | + | 0.00208107i | 0.951394 | − | 0.307976i | \(-0.0996517\pi\) |
−0.950718 | + | 0.310057i | \(0.899652\pi\) | |||||||
\(770\) | −2.27603 | − | 1.77084i | −0.0820225 | − | 0.0638165i | ||||
\(771\) | −5.75199 | + | 17.7028i | −0.207153 | + | 0.637551i | ||||
\(772\) | 16.4064 | + | 10.6544i | 0.590479 | + | 0.383461i | ||||
\(773\) | 4.72320 | − | 5.83266i | 0.169882 | − | 0.209786i | −0.685094 | − | 0.728455i | \(-0.740239\pi\) |
0.854975 | + | 0.518669i | \(0.173572\pi\) | |||||||
\(774\) | −0.748530 | − | 0.432164i | −0.0269053 | − | 0.0155338i | ||||
\(775\) | −1.64860 | + | 3.19547i | −0.0592195 | + | 0.114785i | ||||
\(776\) | − | 14.5168i | − | 0.521123i | ||||||
\(777\) | −9.90936 | − | 3.85140i | −0.355496 | − | 0.138168i | ||||
\(778\) | 3.09579 | + | 6.07583i | 0.110989 | + | 0.217829i | ||||
\(779\) | 3.39182 | + | 15.9573i | 0.121525 | + | 0.571728i | ||||
\(780\) | −0.786174 | − | 0.925222i | −0.0281495 | − | 0.0331283i | ||||
\(781\) | 5.99661 | + | 1.27462i | 0.214575 | + | 0.0456094i | ||||
\(782\) | 5.62254 | + | 1.50656i | 0.201062 | + | 0.0538743i | ||||
\(783\) | −3.80564 | + | 7.46898i | −0.136002 | + | 0.266920i | ||||
\(784\) | −22.8729 | − | 13.4616i | −0.816888 | − | 0.480770i | ||||
\(785\) | 25.3249 | − | 3.26890i | 0.903883 | − | 0.116672i | ||||
\(786\) | −0.872168 | − | 0.388314i | −0.0311092 | − | 0.0138507i | ||||
\(787\) | −4.16286 | + | 10.8446i | −0.148390 | + | 0.386569i | −0.987548 | − | 0.157319i | \(-0.949715\pi\) |
0.839158 | + | 0.543888i | \(0.183048\pi\) | |||||||
\(788\) | 7.96215 | − | 20.7421i | 0.283640 | − | 0.738908i | ||||
\(789\) | 20.6986 | + | 9.21560i | 0.736889 | + | 0.328084i | ||||
\(790\) | 1.22142 | + | 2.57752i | 0.0434561 | + | 0.0917041i | ||||
\(791\) | −7.78871 | + | 6.95432i | −0.276935 | + | 0.247267i | ||||
\(792\) | 0.877450 | − | 1.72209i | 0.0311788 | − | 0.0611919i | ||||
\(793\) | 2.13155 | + | 0.571146i | 0.0756934 | + | 0.0202820i | ||||
\(794\) | 2.58772 | + | 0.550036i | 0.0918347 | + | 0.0195201i | ||||
\(795\) | 2.33999 | + | 0.568048i | 0.0829908 | + | 0.0201466i | ||||
\(796\) | 9.03266 | + | 42.4953i | 0.320154 | + | 1.50621i | ||||
\(797\) | −19.1834 | − | 37.6496i | −0.679512 | − | 1.33362i | −0.930737 | − | 0.365689i | \(-0.880834\pi\) |
0.251225 | − | 0.967929i | \(-0.419166\pi\) | |||||||
\(798\) | 0.209368 | + | 1.35859i | 0.00741156 | + | 0.0480936i | ||||
\(799\) | − | 40.8258i | − | 1.44431i | ||||||
\(800\) | 10.9583 | + | 0.0554625i | 0.387434 | + | 0.00196090i | ||||
\(801\) | −7.65932 | − | 4.42211i | −0.270629 | − | 0.156248i | ||||
\(802\) | −2.69645 | + | 3.32984i | −0.0952151 | + | 0.117581i | ||||
\(803\) | −6.36309 | − | 4.13224i | −0.224549 | − | 0.145824i | ||||
\(804\) | 8.52010 | − | 26.2222i | 0.300481 | − | 0.924784i | ||||
\(805\) | −24.6141 | − | 23.6736i | −0.867532 | − | 0.834385i | ||||
\(806\) | −0.0114814 | − | 0.0353362i | −0.000404416 | − | 0.00124466i | ||||
\(807\) | −2.66303 | + | 9.93856i | −0.0937431 | + | 0.349854i | ||||
\(808\) | 6.22616 | + | 9.58744i | 0.219035 | + | 0.337285i | ||||
\(809\) | −11.8010 | − | 26.5056i | −0.414903 | − | 0.931887i | −0.993239 | − | 0.116088i | \(-0.962964\pi\) |
0.578336 | − | 0.815799i | \(-0.303702\pi\) | |||||||
\(810\) | −0.417982 | + | 0.00988684i | −0.0146864 | + | 0.000347388i | ||||
\(811\) | −12.5623 | − | 17.2906i | −0.441124 | − | 0.607155i | 0.529338 | − | 0.848411i | \(-0.322440\pi\) |
−0.970461 | + | 0.241257i | \(0.922440\pi\) | |||||||
\(812\) | −23.8885 | + | 36.4510i | −0.838322 | + | 1.27918i | ||||
\(813\) | 17.7285 | − | 2.80791i | 0.621764 | − | 0.0984778i | ||||
\(814\) | 0.796685 | − | 1.78938i | 0.0279238 | − | 0.0627179i | ||||
\(815\) | −38.7059 | + | 23.5845i | −1.35581 | + | 0.826129i | ||||
\(816\) | −18.6794 | + | 8.31658i | −0.653908 | + | 0.291139i | ||||
\(817\) | −0.672244 | − | 12.8272i | −0.0235189 | − | 0.448767i | ||||
\(818\) | −0.723121 | − | 0.723121i | −0.0252833 | − | 0.0252833i | ||||
\(819\) | 0.427237 | + | 0.593235i | 0.0149289 | + | 0.0207293i | ||||
\(820\) | −25.7863 | − | 0.740541i | −0.900495 | − | 0.0258608i | ||||
\(821\) | −13.3300 | + | 2.83338i | −0.465221 | + | 0.0988858i | −0.434558 | − | 0.900644i | \(-0.643095\pi\) |
−0.0306634 | + | 0.999530i | \(0.509762\pi\) | |||||||
\(822\) | 1.66388 | + | 0.0872002i | 0.0580344 | + | 0.00304145i | ||||
\(823\) | 2.26083 | + | 1.83078i | 0.0788074 | + | 0.0638170i | 0.667915 | − | 0.744238i | \(-0.267187\pi\) |
−0.589107 | + | 0.808055i | \(0.700520\pi\) | |||||||
\(824\) | −2.62234 | − | 4.54203i | −0.0913537 | − | 0.158229i | ||||
\(825\) | 12.7361 | + | 2.77458i | 0.443413 | + | 0.0965985i | ||||
\(826\) | 3.25315 | + | 0.705689i | 0.113192 | + | 0.0245541i | ||||
\(827\) | 50.0649 | + | 7.92950i | 1.74093 | + | 0.275736i | 0.944384 | − | 0.328845i | \(-0.106659\pi\) |
0.796544 | + | 0.604581i | \(0.206659\pi\) | |||||||
\(828\) | 6.17802 | − | 9.51332i | 0.214701 | − | 0.330611i | ||||
\(829\) | 11.4443 | + | 12.7102i | 0.397478 | + | 0.441445i | 0.908349 | − | 0.418213i | \(-0.137343\pi\) |
−0.510870 | + | 0.859658i | \(0.670677\pi\) | |||||||
\(830\) | −1.03458 | + | 4.26181i | −0.0359110 | + | 0.147930i | ||||
\(831\) | −9.72943 | − | 8.76041i | −0.337510 | − | 0.303895i | ||||
\(832\) | 1.40152 | − | 1.40152i | 0.0485891 | − | 0.0485891i | ||||
\(833\) | −5.59392 | − | 37.3338i | −0.193818 | − | 1.29354i | ||||
\(834\) | −1.95117 | + | 2.68555i | −0.0675635 | + | 0.0929932i | ||||
\(835\) | 28.8019 | − | 41.6806i | 0.996730 | − | 1.44242i | ||||
\(836\) | 14.1567 | − | 1.48793i | 0.489620 | − | 0.0514611i | ||||
\(837\) | 0.671372 | + | 0.257716i | 0.0232060 | + | 0.00890795i | ||||
\(838\) | −4.26016 | + | 3.44981i | −0.147165 | + | 0.119172i | ||||
\(839\) | 19.9474 | − | 14.4926i | 0.688661 | − | 0.500342i | −0.187559 | − | 0.982253i | \(-0.560057\pi\) |
0.876220 | + | 0.481912i | \(0.160057\pi\) | |||||||
\(840\) | −4.37014 | − | 0.373442i | −0.150784 | − | 0.0128850i | ||||
\(841\) | 33.3869 | + | 24.2570i | 1.15127 | + | 0.836449i | ||||
\(842\) | 0.661697 | − | 0.0346781i | 0.0228036 | − | 0.00119509i | ||||
\(843\) | 16.4308 | − | 4.40263i | 0.565908 | − | 0.151635i | ||||
\(844\) | −2.84446 | + | 13.3821i | −0.0979102 | + | 0.460631i | ||||
\(845\) | −5.19435 | − | 28.4275i | −0.178691 | − | 0.977935i | ||||
\(846\) | 1.34620 | + | 0.437407i | 0.0462833 | + | 0.0150383i | ||||
\(847\) | −7.89729 | + | 7.83161i | −0.271354 | + | 0.269097i | ||||
\(848\) | −0.638705 | + | 4.03263i | −0.0219332 | + | 0.138481i | ||||
\(849\) | −27.9296 | + | 16.1252i | −0.958543 | + | 0.553415i | ||||
\(850\) | 3.15307 | + | 3.93426i | 0.108149 | + | 0.134944i | ||||
\(851\) | 11.5980 | − | 20.0884i | 0.397576 | − | 0.688621i | ||||
\(852\) | 4.31410 | − | 1.65603i | 0.147798 | − | 0.0567345i | ||||
\(853\) | −34.2217 | + | 17.4368i | −1.17173 | + | 0.597026i | −0.927913 | − | 0.372796i | \(-0.878399\pi\) |
−0.243815 | + | 0.969822i | \(0.578399\pi\) | |||||||
\(854\) | 3.42972 | − | 1.96110i | 0.117363 | − | 0.0671075i | ||||
\(855\) | −3.50632 | − | 5.12949i | −0.119914 | − | 0.175425i | ||||
\(856\) | −0.165595 | + | 0.183912i | −0.00565991 | + | 0.00628597i | ||||
\(857\) | −2.73668 | − | 10.2134i | −0.0934830 | − | 0.348883i | 0.903302 | − | 0.429005i | \(-0.141136\pi\) |
−0.996785 | + | 0.0801217i | \(0.974469\pi\) | |||||||
\(858\) | −0.112961 | + | 0.0733576i | −0.00385642 | + | 0.00250439i | ||||
\(859\) | 3.04202 | − | 28.9429i | 0.103792 | − | 0.987519i | −0.811397 | − | 0.584496i | \(-0.801292\pi\) |
0.915189 | − | 0.403024i | \(-0.132041\pi\) | |||||||
\(860\) | 19.9619 | + | 3.75199i | 0.680695 | + | 0.127942i | ||||
\(861\) | 15.4412 | + | 1.68815i | 0.526234 | + | 0.0575319i | ||||
\(862\) | −0.128790 | − | 0.813149i | −0.00438661 | − | 0.0276960i | ||||
\(863\) | 3.46622 | + | 4.28043i | 0.117992 | + | 0.145707i | 0.832719 | − | 0.553695i | \(-0.186783\pi\) |
−0.714728 | + | 0.699403i | \(0.753449\pi\) | |||||||
\(864\) | −0.229094 | − | 2.17968i | −0.00779392 | − | 0.0741542i | ||||
\(865\) | −20.2775 | + | 4.81396i | −0.689456 | + | 0.163680i | ||||
\(866\) | −6.34595 | − | 0.666986i | −0.215644 | − | 0.0226651i | ||||
\(867\) | −10.7668 | − | 5.48594i | −0.365659 | − | 0.186312i | ||||
\(868\) | 3.32417 | + | 1.71127i | 0.112830 | + | 0.0580844i | ||||
\(869\) | −16.9143 | + | 5.49578i | −0.573777 | + | 0.186432i | ||||
\(870\) | −0.466256 | + | 3.47362i | −0.0158076 | + | 0.117767i | ||||
\(871\) | −2.88120 | + | 2.59424i | −0.0976256 | + | 0.0879025i | ||||
\(872\) | 0.692995 | − | 13.2231i | 0.0234678 | − | 0.447792i | ||||
\(873\) | −7.01712 | − | 18.2802i | −0.237493 | − | 0.618691i | ||||
\(874\) | −2.99920 | −0.101450 | ||||||||
\(875\) | −5.04798 | − | 29.1465i | −0.170653 | − | 0.985331i | ||||
\(876\) | −5.71892 | −0.193224 | ||||||||
\(877\) | −0.153970 | − | 0.401107i | −0.00519921 | − | 0.0135444i | 0.930956 | − | 0.365131i | \(-0.118976\pi\) |
−0.936155 | + | 0.351586i | \(0.885642\pi\) | |||||||
\(878\) | 0.148494 | − | 2.83344i | 0.00501144 | − | 0.0956239i | ||||
\(879\) | −10.5324 | + | 9.48341i | −0.355249 | + | 0.319867i | ||||
\(880\) | −2.94029 | + | 21.9052i | −0.0991171 | + | 0.738425i | ||||
\(881\) | 36.4318 | − | 11.8374i | 1.22742 | − | 0.398812i | 0.377640 | − | 0.925953i | \(-0.376736\pi\) |
0.849778 | + | 0.527140i | \(0.176736\pi\) | |||||||
\(882\) | 1.29099 | + | 0.215539i | 0.0434698 | + | 0.00725756i | ||||
\(883\) | −48.1001 | − | 24.5082i | −1.61870 | − | 0.824768i | −0.999209 | − | 0.0397625i | \(-0.987340\pi\) |
−0.619489 | − | 0.785005i | \(-0.712660\pi\) | |||||||
\(884\) | 2.91219 | + | 0.306083i | 0.0979475 | + | 0.0102947i | ||||
\(885\) | −14.6395 | + | 3.47547i | −0.492101 | + | 0.116827i | ||||
\(886\) | −0.732878 | − | 6.97287i | −0.0246215 | − | 0.234258i | ||||
\(887\) | −8.83951 | − | 10.9159i | −0.296802 | − | 0.366520i | 0.606829 | − | 0.794833i | \(-0.292441\pi\) |
−0.903630 | + | 0.428313i | \(0.859108\pi\) | |||||||
\(888\) | −0.466035 | − | 2.94243i | −0.0156391 | − | 0.0987415i | ||||
\(889\) | 19.8056 | − | 8.71910i | 0.664258 | − | 0.292429i | ||||
\(890\) | −3.63412 | − | 0.683061i | −0.121816 | − | 0.0228963i | ||||
\(891\) | 0.272501 | − | 2.59268i | 0.00912914 | − | 0.0868580i | ||||
\(892\) | −2.89002 | + | 1.87680i | −0.0967651 | + | 0.0628400i | ||||
\(893\) | 5.44437 | + | 20.3187i | 0.182189 | + | 0.679938i | ||||
\(894\) | −0.652746 | + | 0.724948i | −0.0218311 | + | 0.0242459i | ||||
\(895\) | 25.0053 | + | 36.5810i | 0.835836 | + | 1.22277i | ||||
\(896\) | 0.0632409 | − | 15.1457i | 0.00211273 | − | 0.505983i | ||||
\(897\) | −1.42121 | + | 0.724143i | −0.0474529 | + | 0.0241784i | ||||
\(898\) | 5.52044 | − | 2.11910i | 0.184220 | − | 0.0707153i | ||||
\(899\) | 3.01413 | − | 5.22062i | 0.100527 | − | 0.174118i | ||||
\(900\) | 9.19031 | − | 3.47457i | 0.306344 | − | 0.115819i | ||||
\(901\) | −5.02943 | + | 2.90374i | −0.167555 | + | 0.0967377i | ||||
\(902\) | −0.447684 | + | 2.82657i | −0.0149063 | + | 0.0941144i | ||||
\(903\) | −11.8001 | − | 3.21471i | −0.392684 | − | 0.106979i | ||||
\(904\) | −2.78269 | − | 0.904151i | −0.0925509 | − | 0.0300716i | ||||
\(905\) | 7.17674 | + | 39.2767i | 0.238563 | + | 1.30560i | ||||
\(906\) | −0.0846031 | + | 0.398026i | −0.00281075 | + | 0.0132235i | ||||
\(907\) | 50.0198 | − | 13.4028i | 1.66088 | − | 0.445031i | 0.698250 | − | 0.715854i | \(-0.253962\pi\) |
0.962629 | + | 0.270822i | \(0.0872955\pi\) | |||||||
\(908\) | −2.93725 | + | 0.153935i | −0.0974762 | + | 0.00510851i | ||||
\(909\) | 12.4746 | + | 9.06335i | 0.413757 | + | 0.300612i | ||||
\(910\) | 0.250734 | + | 0.174812i | 0.00831176 | + | 0.00579496i | ||||
\(911\) | −28.1789 | + | 20.4732i | −0.933609 | + | 0.678307i | −0.946874 | − | 0.321605i | \(-0.895778\pi\) |
0.0132644 | + | 0.999912i | \(0.495778\pi\) | |||||||
\(912\) | 8.18749 | − | 6.63010i | 0.271115 | − | 0.219545i | ||||
\(913\) | −25.5291 | − | 9.79970i | −0.844890 | − | 0.324323i | ||||
\(914\) | −0.167322 | + | 0.0175863i | −0.00553453 | + | 0.000581703i | ||||
\(915\) | −10.1520 | + | 14.6914i | −0.335614 | + | 0.485684i | ||||
\(916\) | 18.3500 | − | 25.2566i | 0.606300 | − | 0.834500i | ||||
\(917\) | −13.3338 | − | 2.16898i | −0.440321 | − | 0.0716259i | ||||
\(918\) | 0.713025 | − | 0.713025i | 0.0235333 | − | 0.0235333i | ||||
\(919\) | 28.8760 | + | 26.0001i | 0.952531 | + | 0.857663i | 0.989918 | − | 0.141638i | \(-0.0452370\pi\) |
−0.0373877 | + | 0.999301i | \(0.511904\pi\) | |||||||
\(920\) | 2.25753 | − | 9.29955i | 0.0744285 | − | 0.306597i | ||||
\(921\) | 8.00974 | + | 8.89572i | 0.263930 | + | 0.293124i | ||||
\(922\) | 1.06794 | − | 1.64448i | 0.0351707 | − | 0.0541581i | ||||
\(923\) | −0.641793 | − | 0.101650i | −0.0211249 | − | 0.00334585i | ||||
\(924\) | 2.87328 | − | 13.2455i | 0.0945240 | − | 0.435746i | ||||
\(925\) | 18.3957 | − | 8.07900i | 0.604848 | − | 0.265636i | ||||
\(926\) | 0.451405 | + | 0.781857i | 0.0148341 | + | 0.0256934i | ||||
\(927\) | −5.49770 | − | 4.45195i | −0.180568 | − | 0.146221i | ||||
\(928\) | −18.3469 | − | 0.961521i | −0.602267 | − | 0.0315635i | ||||
\(929\) | 39.4775 | − | 8.39120i | 1.29521 | − | 0.275306i | 0.491790 | − | 0.870714i | \(-0.336343\pi\) |
0.803424 | + | 0.595408i | \(0.203009\pi\) | |||||||
\(930\) | 0.300546 | + | 0.00863122i | 0.00985530 | + | 0.000283029i | ||||
\(931\) | 7.76274 | + | 17.8348i | 0.254414 | + | 0.584511i | ||||
\(932\) | −26.1358 | − | 26.1358i | −0.856108 | − | 0.856108i | ||||
\(933\) | 0.370269 | + | 7.06515i | 0.0121221 | + | 0.231303i | ||||
\(934\) | −0.942551 | + | 0.419651i | −0.0308412 | + | 0.0137314i | ||||
\(935\) | −26.8462 | + | 16.3581i | −0.877964 | + | 0.534966i | ||||
\(936\) | −0.0833226 | + | 0.187146i | −0.00272348 | + | 0.00611705i | ||||
\(937\) | −29.3792 | + | 4.65320i | −0.959775 | + | 0.152013i | −0.616616 | − | 0.787264i | \(-0.711497\pi\) |
−0.343159 | + | 0.939277i | \(0.611497\pi\) | |||||||
\(938\) | −0.392214 | + | 6.93010i | −0.0128062 | + | 0.226276i | ||||
\(939\) | −8.52367 | − | 11.7318i | −0.278159 | − | 0.382854i | ||||
\(940\) | −33.2540 | + | 0.786581i | −1.08463 | + | 0.0256555i | ||||
\(941\) | −15.1028 | − | 33.9215i | −0.492338 | − | 1.10581i | −0.973398 | − | 0.229122i | \(-0.926415\pi\) |
0.481060 | − | 0.876688i | \(-0.340252\pi\) | |||||||
\(942\) | −1.16293 | − | 1.79075i | −0.0378902 | − | 0.0583458i | ||||
\(943\) | −8.77156 | + | 32.7359i | −0.285641 | + | 1.06603i | ||||
\(944\) | −7.88379 | − | 24.2638i | −0.256595 | − | 0.789720i | ||||
\(945\) | −5.68359 | + | 1.64218i | −0.184887 | + | 0.0534201i | ||||
\(946\) | 0.696298 | − | 2.14298i | 0.0226386 | − | 0.0696744i | ||||
\(947\) | −16.5423 | − | 10.7427i | −0.537551 | − | 0.349090i | 0.247137 | − | 0.968981i | \(-0.420510\pi\) |
−0.784688 | + | 0.619891i | \(0.787177\pi\) | |||||||
\(948\) | −8.43637 | + | 10.4181i | −0.274001 | + | 0.338363i | ||||
\(949\) | 0.696436 | + | 0.402088i | 0.0226073 | + | 0.0130523i | ||||
\(950\) | −2.09391 | − | 1.53757i | −0.0679355 | − | 0.0498853i | ||||
\(951\) | 18.0763i | 0.586163i | ||||||||
\(952\) | 8.24861 | − | 6.62276i | 0.267339 | − | 0.214645i | ||||
\(953\) | 13.1601 | + | 25.8282i | 0.426297 | + | 0.836656i | 0.999847 | + | 0.0174851i | \(0.00556596\pi\) |
−0.573550 | + | 0.819171i | \(0.694434\pi\) | |||||||
\(954\) | −0.0418635 | − | 0.196952i | −0.00135538 | − | 0.00637656i | ||||
\(955\) | 3.97265 | + | 0.964389i | 0.128552 | + | 0.0312069i | ||||
\(956\) | 9.82738 | + | 2.08887i | 0.317840 | + | 0.0675590i | ||||
\(957\) | −21.1086 | − | 5.65602i | −0.682343 | − | 0.182833i | ||||
\(958\) | 3.27289 | − | 6.42340i | 0.105742 | − | 0.207531i | ||||
\(959\) | 23.0812 | − | 4.80542i | 0.745330 | − | 0.155175i | ||||
\(960\) | 6.86855 | + | 14.4945i | 0.221682 | + | 0.467808i | ||||
\(961\) | 27.8475 | + | 12.3985i | 0.898305 | + | 0.399951i | ||||
\(962\) | −0.0744006 | + | 0.193820i | −0.00239877 | + | 0.00624901i | ||||
\(963\) | −0.119625 | + | 0.311635i | −0.00385488 | + | 0.0100423i | ||||
\(964\) | −5.69313 | − | 2.53474i | −0.183363 | − | 0.0816386i | ||||
\(965\) | 22.0774 | − | 2.84972i | 0.710695 | − | 0.0917358i | ||||
\(966\) | −0.893792 | + | 2.71222i | −0.0287573 | + | 0.0872643i | ||||
\(967\) | 3.42927 | − | 6.73032i | 0.110278 | − | 0.216433i | −0.829271 | − | 0.558846i | \(-0.811244\pi\) |
0.939549 | + | 0.342413i | \(0.111244\pi\) | |||||||
\(968\) | −3.01039 | − | 0.806633i | −0.0967577 | − | 0.0259262i | ||||
\(969\) | 14.6579 | + | 3.11564i | 0.470881 | + | 0.100089i | ||||
\(970\) | −5.30106 | − | 6.23864i | −0.170207 | − | 0.200311i | ||||
\(971\) | −3.15499 | − | 14.8431i | −0.101249 | − | 0.476337i | −0.999333 | − | 0.0365142i | \(-0.988375\pi\) |
0.898085 | − | 0.439823i | \(-0.144959\pi\) | |||||||
\(972\) | −0.892109 | − | 1.75086i | −0.0286144 | − | 0.0561589i | ||||
\(973\) | −17.0159 | + | 43.7807i | −0.545505 | + | 1.40355i | ||||
\(974\) | − | 6.25180i | − | 0.200321i | ||||||
\(975\) | −1.36347 | − | 0.223031i | −0.0436659 | − | 0.00714272i | ||||
\(976\) | −26.2228 | − | 15.1398i | −0.839372 | − | 0.484612i | ||||
\(977\) | −35.9714 | + | 44.4210i | −1.15083 | + | 1.42115i | −0.260712 | + | 0.965417i | \(0.583957\pi\) |
−0.890115 | + | 0.455736i | \(0.849376\pi\) | |||||||
\(978\) | 3.17863 | + | 2.06423i | 0.101641 | + | 0.0660067i | ||||
\(979\) | 7.12485 | − | 21.9280i | 0.227711 | − | 0.700823i | ||||
\(980\) | −30.3019 | + | 5.27574i | −0.967958 | + | 0.168527i | ||||
\(981\) | −5.51914 | − | 16.9862i | −0.176212 | − | 0.542326i | ||||
\(982\) | 0.0481021 | − | 0.179520i | 0.00153500 | − | 0.00572870i | ||||
\(983\) | 11.9064 | + | 18.3342i | 0.379755 | + | 0.584771i | 0.975930 | − | 0.218083i | \(-0.0699805\pi\) |
−0.596176 | + | 0.802854i | \(0.703314\pi\) | |||||||
\(984\) | 1.77038 | + | 3.97633i | 0.0564376 | + | 0.126761i | ||||
\(985\) | −8.37904 | − | 23.8534i | −0.266979 | − | 0.760031i | ||||
\(986\) | −4.96842 | − | 6.83845i | −0.158227 | − | 0.217781i | ||||
\(987\) | 19.9969 | + | 1.13174i | 0.636510 | + | 0.0360237i | ||||
\(988\) | −1.49019 | + | 0.236023i | −0.0474093 | + | 0.00750889i | ||||
\(989\) | 10.8534 | − | 24.3772i | 0.345119 | − | 0.775151i | ||||
\(990\) | −0.251765 | − | 1.06049i | −0.00800161 | − | 0.0337046i | ||||
\(991\) | −8.33293 | + | 3.71006i | −0.264704 | + | 0.117854i | −0.534798 | − | 0.844980i | \(-0.679612\pi\) |
0.270093 | + | 0.962834i | \(0.412945\pi\) | |||||||
\(992\) | 0.0824878 | + | 1.57396i | 0.00261899 | + | 0.0499733i | ||||
\(993\) | 10.9171 | + | 10.9171i | 0.346445 | + | 0.346445i | ||||
\(994\) | −0.944016 | + | 0.679863i | −0.0299424 | + | 0.0215640i | ||||
\(995\) | 39.1446 | + | 30.1944i | 1.24097 | + | 0.957227i | ||||
\(996\) | −20.1616 | + | 4.28548i | −0.638845 | + | 0.135791i | ||||
\(997\) | 34.6798 | + | 1.81749i | 1.09832 | + | 0.0575605i | 0.592872 | − | 0.805297i | \(-0.297994\pi\) |
0.505448 | + | 0.862857i | \(0.331327\pi\) | |||||||
\(998\) | 6.07499 | + | 4.91943i | 0.192300 | + | 0.155722i | ||||
\(999\) | −2.00916 | − | 3.47997i | −0.0635671 | − | 0.110101i |
(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 | 525.2.bv.a.52.20 | ✓ | 640 | |
7.5 | odd | 6 | inner | 525.2.bv.a.502.20 | yes | 640 | |
25.13 | odd | 20 | inner | 525.2.bv.a.388.20 | yes | 640 | |
175.138 | even | 60 | inner | 525.2.bv.a.313.20 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bv.a.52.20 | ✓ | 640 | 1.1 | even | 1 | trivial | |
525.2.bv.a.313.20 | yes | 640 | 175.138 | even | 60 | inner | |
525.2.bv.a.388.20 | yes | 640 | 25.13 | odd | 20 | inner | |
525.2.bv.a.502.20 | yes | 640 | 7.5 | odd | 6 | inner |