Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.19 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.19 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.732928 | − | 1.20947i | −0.518258 | − | 0.855224i | ||||
\(3\) | −1.20611 | − | 1.24310i | −0.696348 | − | 0.717704i | ||||
\(4\) | −0.925633 | + | 1.77291i | −0.462817 | + | 0.886454i | ||||
\(5\) | 2.16410 | − | 0.562738i | 0.967815 | − | 0.251664i | ||||
\(6\) | −0.619499 | + | 2.36986i | −0.252909 | + | 0.967490i | ||||
\(7\) | − | 3.72853i | − | 1.40925i | −0.709580 | − | 0.704625i | \(-0.751115\pi\) | ||
0.709580 | − | 0.704625i | \(-0.248885\pi\) | |||||||
\(8\) | 2.82270 | − | 0.179888i | 0.997975 | − | 0.0636001i | ||||
\(9\) | −0.0905939 | + | 2.99863i | −0.0301980 | + | 0.999544i | ||||
\(10\) | −2.26674 | − | 2.20497i | −0.716807 | − | 0.697271i | ||||
\(11\) | 2.85309 | − | 2.07289i | 0.860240 | − | 0.625001i | −0.0677102 | − | 0.997705i | \(-0.521569\pi\) |
0.927950 | + | 0.372704i | \(0.121569\pi\) | |||||||
\(12\) | 3.32032 | − | 0.987669i | 0.958493 | − | 0.285115i | ||||
\(13\) | −2.64426 | − | 1.92116i | −0.733384 | − | 0.532835i | 0.157248 | − | 0.987559i | \(-0.449738\pi\) |
−0.890632 | + | 0.454724i | \(0.849738\pi\) | |||||||
\(14\) | −4.50954 | + | 2.73274i | −1.20522 | + | 0.730356i | ||||
\(15\) | −3.30968 | − | 2.01147i | −0.854556 | − | 0.519358i | ||||
\(16\) | −2.28641 | − | 3.28213i | −0.571601 | − | 0.820531i | ||||
\(17\) | −1.89045 | + | 0.614246i | −0.458503 | + | 0.148977i | −0.529156 | − | 0.848524i | \(-0.677491\pi\) |
0.0706537 | + | 0.997501i | \(0.477491\pi\) | |||||||
\(18\) | 3.69315 | − | 2.08821i | 0.870484 | − | 0.492196i | ||||
\(19\) | −3.02333 | + | 0.982340i | −0.693600 | + | 0.225364i | −0.634540 | − | 0.772890i | \(-0.718810\pi\) |
−0.0590600 | + | 0.998254i | \(0.518810\pi\) | |||||||
\(20\) | −1.00548 | + | 4.35764i | −0.224832 | + | 0.974398i | ||||
\(21\) | −4.63493 | + | 4.49701i | −1.01142 | + | 0.981329i | ||||
\(22\) | −4.59821 | − | 1.93145i | −0.980342 | − | 0.411786i | ||||
\(23\) | −1.00203 | + | 0.728021i | −0.208939 | + | 0.151803i | −0.687333 | − | 0.726342i | \(-0.741219\pi\) |
0.478395 | + | 0.878145i | \(0.341219\pi\) | |||||||
\(24\) | −3.62811 | − | 3.29193i | −0.740585 | − | 0.671963i | ||||
\(25\) | 4.36665 | − | 2.43564i | 0.873330 | − | 0.487129i | ||||
\(26\) | −0.385541 | + | 4.60622i | −0.0756108 | + | 0.903354i | ||||
\(27\) | 3.83686 | − | 3.50406i | 0.738405 | − | 0.674358i | ||||
\(28\) | 6.61033 | + | 3.45125i | 1.24924 | + | 0.652225i | ||||
\(29\) | 2.72526 | + | 0.885489i | 0.506067 | + | 0.164431i | 0.550913 | − | 0.834563i | \(-0.314280\pi\) |
−0.0448457 | + | 0.998994i | \(0.514280\pi\) | |||||||
\(30\) | −0.00704891 | + | 5.47722i | −0.00128695 | + | 0.999999i | ||||
\(31\) | −9.25193 | + | 3.00613i | −1.66170 | + | 0.539918i | −0.981226 | − | 0.192859i | \(-0.938224\pi\) |
−0.680469 | + | 0.732777i | \(0.738224\pi\) | |||||||
\(32\) | −2.29386 | + | 5.17090i | −0.405501 | + | 0.914095i | ||||
\(33\) | −6.01796 | − | 1.04654i | −1.04759 | − | 0.182179i | ||||
\(34\) | 2.12848 | + | 1.83625i | 0.365031 | + | 0.314914i | ||||
\(35\) | −2.09818 | − | 8.06890i | −0.354658 | − | 1.36389i | ||||
\(36\) | −5.23244 | − | 2.93625i | −0.872074 | − | 0.489375i | ||||
\(37\) | −2.96797 | − | 2.15636i | −0.487932 | − | 0.354503i | 0.316457 | − | 0.948607i | \(-0.397507\pi\) |
−0.804388 | + | 0.594104i | \(0.797507\pi\) | |||||||
\(38\) | 3.40399 | + | 2.93664i | 0.552201 | + | 0.476386i | ||||
\(39\) | 0.801066 | + | 5.60421i | 0.128273 | + | 0.897392i | ||||
\(40\) | 6.00738 | − | 1.97774i | 0.949849 | − | 0.312708i | ||||
\(41\) | 7.18888 | − | 9.89465i | 1.12272 | − | 1.54528i | 0.321499 | − | 0.946910i | \(-0.395813\pi\) |
0.801216 | − | 0.598375i | \(-0.204187\pi\) | |||||||
\(42\) | 8.83607 | + | 2.30982i | 1.36344 | + | 0.356413i | ||||
\(43\) | 5.08317i | 0.775176i | 0.921833 | + | 0.387588i | \(0.126692\pi\) | ||||
−0.921833 | + | 0.387588i | \(0.873308\pi\) | |||||||
\(44\) | 1.03413 | + | 6.97701i | 0.155901 | + | 1.05182i | ||||
\(45\) | 1.49139 | + | 6.54032i | 0.222323 | + | 0.974973i | ||||
\(46\) | 1.61494 | + | 0.678344i | 0.238110 | + | 0.100016i | ||||
\(47\) | 0.623353 | − | 1.91848i | 0.0909254 | − | 0.279840i | −0.895245 | − | 0.445574i | \(-0.853000\pi\) |
0.986170 | + | 0.165735i | \(0.0529995\pi\) | |||||||
\(48\) | −1.32235 | + | 6.80084i | −0.190865 | + | 0.981616i | ||||
\(49\) | −6.90190 | −0.985986 | ||||||||
\(50\) | −6.14628 | − | 3.49618i | −0.869215 | − | 0.494435i | ||||
\(51\) | 3.04367 | + | 1.60918i | 0.426199 | + | 0.225330i | ||||
\(52\) | 5.85366 | − | 2.90973i | 0.811756 | − | 0.403507i | ||||
\(53\) | 4.01912 | + | 1.30589i | 0.552069 | + | 0.179378i | 0.571749 | − | 0.820428i | \(-0.306265\pi\) |
−0.0196806 | + | 0.999806i | \(0.506265\pi\) | |||||||
\(54\) | −7.05020 | − | 2.07234i | −0.959411 | − | 0.282010i | ||||
\(55\) | 5.00788 | − | 6.09149i | 0.675263 | − | 0.821377i | ||||
\(56\) | −0.670718 | − | 10.5245i | −0.0896284 | − | 1.40640i | ||||
\(57\) | 4.86762 | + | 2.57349i | 0.644732 | + | 0.340867i | ||||
\(58\) | −0.926444 | − | 3.94511i | −0.121648 | − | 0.518019i | ||||
\(59\) | −2.52634 | − | 1.83549i | −0.328901 | − | 0.238960i | 0.411063 | − | 0.911607i | \(-0.365158\pi\) |
−0.739964 | + | 0.672646i | \(0.765158\pi\) | |||||||
\(60\) | 6.62970 | − | 4.00588i | 0.855890 | − | 0.517157i | ||||
\(61\) | 7.65840 | − | 5.56415i | 0.980558 | − | 0.712417i | 0.0227244 | − | 0.999742i | \(-0.492766\pi\) |
0.957833 | + | 0.287325i | \(0.0927660\pi\) | |||||||
\(62\) | 10.4168 | + | 8.98665i | 1.32294 | + | 1.14131i | ||||
\(63\) | 11.1805 | + | 0.337782i | 1.40861 | + | 0.0425565i | ||||
\(64\) | 7.93528 | − | 1.01554i | 0.991910 | − | 0.126943i | ||||
\(65\) | −6.80354 | − | 2.66957i | −0.843876 | − | 0.331119i | ||||
\(66\) | 3.14497 | + | 8.04558i | 0.387119 | + | 0.990342i | ||||
\(67\) | 13.7784 | − | 4.47688i | 1.68330 | − | 0.546938i | 0.697754 | − | 0.716337i | \(-0.254183\pi\) |
0.985548 | + | 0.169399i | \(0.0541827\pi\) | |||||||
\(68\) | 0.660867 | − | 3.92017i | 0.0801418 | − | 0.475390i | ||||
\(69\) | 2.11357 | + | 0.367555i | 0.254444 | + | 0.0442485i | ||||
\(70\) | −8.22127 | + | 8.45161i | −0.982630 | + | 1.01016i | ||||
\(71\) | 1.64679 | − | 5.06831i | 0.195438 | − | 0.601497i | −0.804533 | − | 0.593908i | \(-0.797584\pi\) |
0.999971 | − | 0.00758919i | \(-0.00241574\pi\) | |||||||
\(72\) | 0.283699 | + | 8.48054i | 0.0334342 | + | 0.999441i | ||||
\(73\) | −5.62788 | + | 4.08889i | −0.658693 | + | 0.478569i | −0.866221 | − | 0.499660i | \(-0.833458\pi\) |
0.207528 | + | 0.978229i | \(0.433458\pi\) | |||||||
\(74\) | −0.432740 | + | 5.17013i | −0.0503050 | + | 0.601015i | ||||
\(75\) | −8.29441 | − | 2.49053i | −0.957756 | − | 0.287581i | ||||
\(76\) | 1.05690 | − | 6.26938i | 0.121235 | − | 0.719147i | ||||
\(77\) | −7.72884 | − | 10.6378i | −0.880783 | − | 1.21229i | ||||
\(78\) | 6.19100 | − | 5.07635i | 0.700992 | − | 0.574783i | ||||
\(79\) | 9.60080 | + | 3.11949i | 1.08017 | + | 0.350970i | 0.794442 | − | 0.607339i | \(-0.207763\pi\) |
0.285732 | + | 0.958309i | \(0.407763\pi\) | |||||||
\(80\) | −6.79499 | − | 5.81620i | −0.759703 | − | 0.650271i | ||||
\(81\) | −8.98359 | − | 0.543315i | −0.998176 | − | 0.0603684i | ||||
\(82\) | −17.2362 | − | 1.44267i | −1.90342 | − | 0.159316i | ||||
\(83\) | 4.65327 | + | 14.3213i | 0.510763 | + | 1.57197i | 0.790862 | + | 0.611995i | \(0.209633\pi\) |
−0.280099 | + | 0.959971i | \(0.590367\pi\) | |||||||
\(84\) | −3.68255 | − | 12.3799i | −0.401799 | − | 1.35076i | ||||
\(85\) | −3.74547 | + | 2.39312i | −0.406253 | + | 0.259570i | ||||
\(86\) | 6.14794 | − | 3.72560i | 0.662949 | − | 0.401741i | ||||
\(87\) | −2.18621 | − | 4.45576i | −0.234386 | − | 0.477708i | ||||
\(88\) | 7.68054 | − | 6.36440i | 0.818748 | − | 0.678447i | ||||
\(89\) | 1.86723 | + | 2.57002i | 0.197926 | + | 0.272421i | 0.896431 | − | 0.443184i | \(-0.146151\pi\) |
−0.698505 | + | 0.715605i | \(0.746151\pi\) | |||||||
\(90\) | 6.81723 | − | 6.59737i | 0.718600 | − | 0.695424i | ||||
\(91\) | −7.16311 | + | 9.85917i | −0.750898 | + | 1.03352i | ||||
\(92\) | −0.363197 | − | 2.45040i | −0.0378659 | − | 0.255471i | ||||
\(93\) | 14.8958 | + | 7.87534i | 1.54462 | + | 0.816635i | ||||
\(94\) | −2.77722 | + | 0.652183i | −0.286448 | + | 0.0672676i | ||||
\(95\) | −5.98999 | + | 3.82723i | −0.614560 | + | 0.392665i | ||||
\(96\) | 9.19459 | − | 3.38518i | 0.938419 | − | 0.345498i | ||||
\(97\) | 0.754039 | − | 2.32069i | 0.0765611 | − | 0.235631i | −0.905450 | − | 0.424452i | \(-0.860467\pi\) |
0.982011 | + | 0.188821i | \(0.0604667\pi\) | |||||||
\(98\) | 5.05860 | + | 8.34764i | 0.510996 | + | 0.843239i | ||||
\(99\) | 5.95737 | + | 8.74317i | 0.598738 | + | 0.878721i | ||||
\(100\) | 0.276251 | + | 9.99618i | 0.0276251 | + | 0.999618i | ||||
\(101\) | 10.8638i | 1.08098i | 0.841349 | + | 0.540492i | \(0.181762\pi\) | ||||
−0.841349 | + | 0.540492i | \(0.818238\pi\) | |||||||
\(102\) | −0.284540 | − | 4.86063i | −0.0281736 | − | 0.481274i | ||||
\(103\) | −11.8136 | − | 3.83848i | −1.16403 | − | 0.378216i | −0.337619 | − | 0.941283i | \(-0.609621\pi\) |
−0.826412 | + | 0.563066i | \(0.809621\pi\) | |||||||
\(104\) | −7.80954 | − | 4.94720i | −0.765788 | − | 0.485113i | ||||
\(105\) | −7.49981 | + | 12.3402i | −0.731906 | + | 1.20428i | ||||
\(106\) | −1.36629 | − | 5.81813i | −0.132706 | − | 0.565107i | ||||
\(107\) | 4.06445 | 0.392925 | 0.196463 | − | 0.980511i | \(-0.437055\pi\) | ||||
0.196463 | + | 0.980511i | \(0.437055\pi\) | |||||||
\(108\) | 2.66085 | + | 10.0459i | 0.256041 | + | 0.966666i | ||||
\(109\) | 5.86170 | + | 4.25878i | 0.561449 | + | 0.407917i | 0.831989 | − | 0.554792i | \(-0.187202\pi\) |
−0.270540 | + | 0.962709i | \(0.587202\pi\) | |||||||
\(110\) | −11.0379 | − | 1.59226i | −1.05242 | − | 0.151816i | ||||
\(111\) | 0.899135 | + | 6.29029i | 0.0853421 | + | 0.597048i | ||||
\(112\) | −12.2375 | + | 8.52492i | −1.15633 | + | 0.805529i | ||||
\(113\) | 7.49495 | − | 10.3159i | 0.705066 | − | 0.970439i | −0.294824 | − | 0.955552i | \(-0.595261\pi\) |
0.999889 | − | 0.0148878i | \(-0.00473911\pi\) | |||||||
\(114\) | −0.455054 | − | 7.77342i | −0.0426197 | − | 0.728048i | ||||
\(115\) | −1.75882 | + | 2.13939i | −0.164011 | + | 0.199499i | ||||
\(116\) | −4.09248 | + | 4.01199i | −0.379977 | + | 0.372504i | ||||
\(117\) | 6.00042 | − | 7.75510i | 0.554739 | − | 0.716959i | ||||
\(118\) | −0.368348 | + | 4.40081i | −0.0339092 | + | 0.405127i | ||||
\(119\) | 2.29023 | + | 7.04861i | 0.209945 | + | 0.646145i | ||||
\(120\) | −9.70408 | − | 5.08240i | −0.885858 | − | 0.463957i | ||||
\(121\) | 0.444067 | − | 1.36670i | 0.0403697 | − | 0.124245i | ||||
\(122\) | −12.3427 | − | 5.18448i | −1.11746 | − | 0.469381i | ||||
\(123\) | −20.9706 | + | 2.99754i | −1.89086 | + | 0.270279i | ||||
\(124\) | 3.23430 | − | 19.1854i | 0.290448 | − | 1.72290i | ||||
\(125\) | 8.07924 | − | 7.72825i | 0.722629 | − | 0.691236i | ||||
\(126\) | −7.78595 | − | 13.7700i | −0.693627 | − | 1.22673i | ||||
\(127\) | 1.49096 | + | 2.05213i | 0.132301 | + | 0.182097i | 0.870028 | − | 0.493003i | \(-0.164101\pi\) |
−0.737727 | + | 0.675099i | \(0.764101\pi\) | |||||||
\(128\) | −7.04425 | − | 8.85316i | −0.622630 | − | 0.782516i | ||||
\(129\) | 6.31889 | − | 6.13087i | 0.556347 | − | 0.539793i | ||||
\(130\) | 1.75775 | + | 10.1853i | 0.154165 | + | 0.893308i | ||||
\(131\) | 4.39825 | + | 13.5364i | 0.384277 | + | 1.18268i | 0.937004 | + | 0.349320i | \(0.113587\pi\) |
−0.552727 | + | 0.833362i | \(0.686413\pi\) | |||||||
\(132\) | 7.42585 | − | 9.70058i | 0.646337 | − | 0.844327i | ||||
\(133\) | 3.66268 | + | 11.2726i | 0.317595 | + | 0.977456i | ||||
\(134\) | −15.5132 | − | 13.3833i | −1.34014 | − | 1.15615i | ||||
\(135\) | 6.33149 | − | 9.74229i | 0.544927 | − | 0.838483i | ||||
\(136\) | −5.22569 | + | 2.07390i | −0.448099 | + | 0.177836i | ||||
\(137\) | −2.86731 | + | 3.94651i | −0.244971 | + | 0.337173i | −0.913742 | − | 0.406295i | \(-0.866821\pi\) |
0.668771 | + | 0.743468i | \(0.266821\pi\) | |||||||
\(138\) | −1.10455 | − | 2.82569i | −0.0940251 | − | 0.240538i | ||||
\(139\) | 10.2971 | + | 14.1727i | 0.873386 | + | 1.20211i | 0.978209 | + | 0.207622i | \(0.0665723\pi\) |
−0.104823 | + | 0.994491i | \(0.533428\pi\) | |||||||
\(140\) | 16.2476 | + | 3.74896i | 1.37317 | + | 0.316845i | ||||
\(141\) | −3.13670 | + | 1.53901i | −0.264158 | + | 0.129608i | ||||
\(142\) | −7.33694 | + | 1.72296i | −0.615703 | + | 0.144587i | ||||
\(143\) | −11.5267 | −0.963909 | ||||||||
\(144\) | 10.0490 | − | 6.55875i | 0.837418 | − | 0.546562i | ||||
\(145\) | 6.39602 | + | 0.382681i | 0.531161 | + | 0.0317800i | ||||
\(146\) | 9.07022 | + | 3.80988i | 0.750657 | + | 0.315308i | ||||
\(147\) | 8.32446 | + | 8.57976i | 0.686590 | + | 0.707646i | ||||
\(148\) | 6.57028 | − | 3.26594i | 0.540074 | − | 0.268459i | ||||
\(149\) | − | 0.975207i | − | 0.0798921i | −0.999202 | − | 0.0399460i | \(-0.987281\pi\) | ||
0.999202 | − | 0.0399460i | \(-0.0127186\pi\) | |||||||
\(150\) | 3.06699 | + | 11.8572i | 0.250418 | + | 0.968138i | ||||
\(151\) | − | 17.7976i | − | 1.44835i | −0.689618 | − | 0.724173i | \(-0.742222\pi\) | ||
0.689618 | − | 0.724173i | \(-0.257778\pi\) | |||||||
\(152\) | −8.35725 | + | 3.31671i | −0.677862 | + | 0.269021i | ||||
\(153\) | −1.67063 | − | 5.72442i | −0.135063 | − | 0.462792i | ||||
\(154\) | −7.20145 | + | 17.1446i | −0.580310 | + | 1.38155i | ||||
\(155\) | −18.3304 | + | 11.7120i | −1.47234 | + | 0.940729i | ||||
\(156\) | −10.6772 | − | 3.76723i | −0.854863 | − | 0.301620i | ||||
\(157\) | −4.81242 | −0.384073 | −0.192036 | − | 0.981388i | \(-0.561509\pi\) | ||||
−0.192036 | + | 0.981388i | \(0.561509\pi\) | |||||||
\(158\) | −3.26377 | − | 13.8982i | −0.259651 | − | 1.10568i | ||||
\(159\) | −3.22415 | − | 6.57122i | −0.255692 | − | 0.521132i | ||||
\(160\) | −2.05428 | + | 12.4812i | −0.162405 | + | 0.986724i | ||||
\(161\) | 2.71444 | + | 3.73611i | 0.213928 | + | 0.294447i | ||||
\(162\) | 5.92720 | + | 11.2636i | 0.465685 | + | 0.884951i | ||||
\(163\) | 5.99998 | − | 8.25827i | 0.469955 | − | 0.646837i | −0.506581 | − | 0.862192i | \(-0.669091\pi\) |
0.976536 | + | 0.215355i | \(0.0690909\pi\) | |||||||
\(164\) | 10.8880 | + | 21.9040i | 0.850213 | + | 1.71042i | ||||
\(165\) | −13.6124 | + | 1.12172i | −1.05972 | + | 0.0873257i | ||||
\(166\) | 13.9107 | − | 16.1245i | 1.07968 | − | 1.25150i | ||||
\(167\) | 0.965785 | + | 2.97238i | 0.0747347 | + | 0.230010i | 0.981445 | − | 0.191745i | \(-0.0614145\pi\) |
−0.906710 | + | 0.421754i | \(0.861415\pi\) | |||||||
\(168\) | −12.2741 | + | 13.5275i | −0.946964 | + | 1.04367i | ||||
\(169\) | −0.716006 | − | 2.20364i | −0.0550774 | − | 0.169511i | ||||
\(170\) | 5.63957 | + | 2.77605i | 0.432535 | + | 0.212913i | ||||
\(171\) | −2.67178 | − | 9.15485i | −0.204316 | − | 0.700089i | ||||
\(172\) | −9.01199 | − | 4.70515i | −0.687158 | − | 0.358764i | ||||
\(173\) | −4.83491 | − | 6.65468i | −0.367591 | − | 0.505946i | 0.584653 | − | 0.811283i | \(-0.301231\pi\) |
−0.952244 | + | 0.305338i | \(0.901231\pi\) | |||||||
\(174\) | −3.78678 | + | 5.90991i | −0.287075 | + | 0.448029i | ||||
\(175\) | −9.08136 | − | 16.2812i | −0.686486 | − | 1.23074i | ||||
\(176\) | −13.3268 | − | 4.62474i | −1.00455 | − | 0.348603i | ||||
\(177\) | 0.765343 | + | 5.35429i | 0.0575267 | + | 0.402453i | ||||
\(178\) | 1.73982 | − | 4.14199i | 0.130405 | − | 0.310455i | ||||
\(179\) | 2.04563 | − | 6.29581i | 0.152898 | − | 0.470571i | −0.845044 | − | 0.534697i | \(-0.820426\pi\) |
0.997942 | + | 0.0641256i | \(0.0204258\pi\) | |||||||
\(180\) | −12.9759 | − | 3.40984i | −0.967164 | − | 0.254154i | ||||
\(181\) | 3.15883 | + | 9.72189i | 0.234794 | + | 0.722623i | 0.997149 | + | 0.0754627i | \(0.0240434\pi\) |
−0.762354 | + | 0.647160i | \(0.775957\pi\) | |||||||
\(182\) | 17.1744 | + | 1.43750i | 1.27305 | + | 0.106555i | ||||
\(183\) | −16.1537 | − | 2.80917i | −1.19411 | − | 0.207660i | ||||
\(184\) | −2.69748 | + | 2.23524i | −0.198861 | + | 0.164784i | ||||
\(185\) | −7.63645 | − | 2.99638i | −0.561443 | − | 0.220298i | ||||
\(186\) | −1.39254 | − | 23.7880i | −0.102106 | − | 1.74422i | ||||
\(187\) | −4.12038 | + | 5.67121i | −0.301312 | + | 0.414720i | ||||
\(188\) | 2.82430 | + | 2.88096i | 0.205983 | + | 0.210116i | ||||
\(189\) | −13.0650 | − | 14.3058i | −0.950339 | − | 1.04060i | ||||
\(190\) | 9.01914 | + | 4.43963i | 0.654317 | + | 0.322085i | ||||
\(191\) | −6.72260 | − | 4.88425i | −0.486430 | − | 0.353412i | 0.317380 | − | 0.948299i | \(-0.397197\pi\) |
−0.803810 | + | 0.594886i | \(0.797197\pi\) | |||||||
\(192\) | −10.8332 | − | 8.63949i | −0.781822 | − | 0.623501i | ||||
\(193\) | −22.5549 | −1.62354 | −0.811768 | − | 0.583981i | \(-0.801494\pi\) | ||||
−0.811768 | + | 0.583981i | \(0.801494\pi\) | |||||||
\(194\) | −3.35946 | + | 0.788914i | −0.241195 | + | 0.0566407i | ||||
\(195\) | 4.88729 | + | 11.6773i | 0.349986 | + | 0.836227i | ||||
\(196\) | 6.38863 | − | 12.2364i | 0.456331 | − | 0.874032i | ||||
\(197\) | 14.3446 | + | 4.66083i | 1.02201 | + | 0.332070i | 0.771626 | − | 0.636077i | \(-0.219444\pi\) |
0.250382 | + | 0.968147i | \(0.419444\pi\) | |||||||
\(198\) | 6.20827 | − | 13.6134i | 0.441203 | − | 0.967460i | ||||
\(199\) | − | 2.42902i | − | 0.172189i | −0.996287 | − | 0.0860944i | \(-0.972561\pi\) | ||
0.996287 | − | 0.0860944i | \(-0.0274387\pi\) | |||||||
\(200\) | 11.8876 | − | 7.66060i | 0.840581 | − | 0.541686i | ||||
\(201\) | −22.1835 | − | 11.7283i | −1.56470 | − | 0.827253i | ||||
\(202\) | 13.1394 | − | 7.96236i | 0.924484 | − | 0.560229i | ||||
\(203\) | 3.30157 | − | 10.1612i | 0.231725 | − | 0.713176i | ||||
\(204\) | −5.67024 | + | 3.90663i | −0.396996 | + | 0.273519i | ||||
\(205\) | 9.98936 | − | 25.4585i | 0.697687 | − | 1.77810i | ||||
\(206\) | 4.01601 | + | 17.1015i | 0.279809 | + | 1.19152i | ||||
\(207\) | −2.09229 | − | 3.07069i | −0.145424 | − | 0.213428i | ||||
\(208\) | −0.259662 | + | 13.0713i | −0.0180043 | + | 0.906334i | ||||
\(209\) | −6.58956 | + | 9.06975i | −0.455809 | + | 0.627368i | ||||
\(210\) | 20.4220 | + | 0.0262820i | 1.40925 | + | 0.00181363i | ||||
\(211\) | 12.6279 | + | 17.3808i | 0.869338 | + | 1.19654i | 0.979261 | + | 0.202601i | \(0.0649395\pi\) |
−0.109923 | + | 0.993940i | \(0.535061\pi\) | |||||||
\(212\) | −6.03546 | + | 5.91676i | −0.414517 | + | 0.406365i | ||||
\(213\) | −8.28662 | + | 4.06581i | −0.567790 | + | 0.278585i | ||||
\(214\) | −2.97895 | − | 4.91583i | −0.203637 | − | 0.336039i | ||||
\(215\) | 2.86049 | + | 11.0005i | 0.195084 | + | 0.750227i | ||||
\(216\) | 10.2000 | − | 10.5811i | 0.694021 | − | 0.719955i | ||||
\(217\) | 11.2084 | + | 34.4961i | 0.760879 | + | 2.34174i | ||||
\(218\) | 0.854655 | − | 10.2109i | 0.0578845 | − | 0.691571i | ||||
\(219\) | 11.8707 | + | 2.06436i | 0.802151 | + | 0.139496i | ||||
\(220\) | 6.16419 | + | 14.5170i | 0.415590 | + | 0.978736i | ||||
\(221\) | 6.17891 | + | 2.00765i | 0.415639 | + | 0.135049i | ||||
\(222\) | 6.94892 | − | 5.69781i | 0.466381 | − | 0.382412i | ||||
\(223\) | −7.58971 | − | 10.4463i | −0.508245 | − | 0.699539i | 0.475377 | − | 0.879782i | \(-0.342312\pi\) |
−0.983622 | + | 0.180243i | \(0.942312\pi\) | |||||||
\(224\) | 19.2798 | + | 8.55272i | 1.28819 | + | 0.571453i | ||||
\(225\) | 6.90800 | + | 13.3146i | 0.460534 | + | 0.887642i | ||||
\(226\) | −17.9700 | − | 1.50409i | −1.19535 | − | 0.100051i | ||||
\(227\) | 16.2638 | − | 11.8164i | 1.07947 | − | 0.784280i | 0.101878 | − | 0.994797i | \(-0.467515\pi\) |
0.977590 | + | 0.210517i | \(0.0675148\pi\) | |||||||
\(228\) | −9.06820 | + | 6.24773i | −0.600556 | + | 0.413766i | ||||
\(229\) | 6.62251 | − | 20.3820i | 0.437628 | − | 1.34688i | −0.452742 | − | 0.891641i | \(-0.649554\pi\) |
0.890370 | − | 0.455238i | \(-0.150446\pi\) | |||||||
\(230\) | 3.87662 | + | 0.559216i | 0.255617 | + | 0.0368736i | ||||
\(231\) | −3.90205 | + | 22.4381i | −0.256736 | + | 1.47632i | ||||
\(232\) | 7.85187 | + | 2.00923i | 0.515501 | + | 0.131912i | ||||
\(233\) | 12.6284 | − | 4.10322i | 0.827315 | − | 0.268811i | 0.135401 | − | 0.990791i | \(-0.456768\pi\) |
0.691914 | + | 0.721980i | \(0.256768\pi\) | |||||||
\(234\) | −13.7774 | − | 1.57339i | −0.900659 | − | 0.102856i | ||||
\(235\) | 0.269394 | − | 4.50257i | 0.0175733 | − | 0.293715i | ||||
\(236\) | 5.59262 | − | 2.77997i | 0.364048 | − | 0.180961i | ||||
\(237\) | −7.70179 | − | 15.6972i | −0.500285 | − | 1.01964i | ||||
\(238\) | 6.84650 | − | 7.93609i | 0.443793 | − | 0.514420i | ||||
\(239\) | 14.7591 | − | 10.7231i | 0.954690 | − | 0.693623i | 0.00277843 | − | 0.999996i | \(-0.499116\pi\) |
0.951911 | + | 0.306373i | \(0.0991156\pi\) | |||||||
\(240\) | 0.965390 | + | 15.4618i | 0.0623157 | + | 0.998056i | ||||
\(241\) | 2.25312 | + | 1.63699i | 0.145136 | + | 0.105448i | 0.657984 | − | 0.753032i | \(-0.271409\pi\) |
−0.512848 | + | 0.858480i | \(0.671409\pi\) | |||||||
\(242\) | −1.97845 | + | 0.464605i | −0.127179 | + | 0.0298660i | ||||
\(243\) | 10.1598 | + | 11.8228i | 0.651752 | + | 0.758432i | ||||
\(244\) | 2.77586 | + | 18.7280i | 0.177706 | + | 1.19894i | ||||
\(245\) | −14.9364 | + | 3.88397i | −0.954252 | + | 0.248137i | ||||
\(246\) | 18.9954 | + | 23.1664i | 1.21110 | + | 1.47703i | ||||
\(247\) | 9.88170 | + | 3.21076i | 0.628757 | + | 0.204296i | ||||
\(248\) | −25.5747 | + | 10.1497i | −1.62399 | + | 0.644508i | ||||
\(249\) | 12.1904 | − | 23.0575i | 0.772537 | − | 1.46121i | ||||
\(250\) | −15.2686 | − | 4.10734i | −0.965670 | − | 0.259771i | ||||
\(251\) | 11.1014 | 0.700715 | 0.350358 | − | 0.936616i | \(-0.386060\pi\) | ||||
0.350358 | + | 0.936616i | \(0.386060\pi\) | |||||||
\(252\) | −10.9479 | + | 19.5093i | −0.689652 | + | 1.22897i | ||||
\(253\) | −1.34979 | + | 4.15422i | −0.0848605 | + | 0.261174i | ||||
\(254\) | 1.38922 | − | 3.30733i | 0.0871674 | − | 0.207520i | ||||
\(255\) | 7.49234 | + | 1.76963i | 0.469189 | + | 0.110818i | ||||
\(256\) | −5.54470 | + | 15.0085i | −0.346544 | + | 0.938034i | ||||
\(257\) | 20.4641i | 1.27652i | 0.769823 | + | 0.638258i | \(0.220345\pi\) | ||||
−0.769823 | + | 0.638258i | \(0.779655\pi\) | |||||||
\(258\) | −12.0464 | − | 3.14902i | −0.749975 | − | 0.196049i | ||||
\(259\) | −8.04004 | + | 11.0662i | −0.499584 | + | 0.687618i | ||||
\(260\) | 11.0305 | − | 9.59102i | 0.684081 | − | 0.594810i | ||||
\(261\) | −2.90215 | + | 8.09182i | −0.179638 | + | 0.500871i | ||||
\(262\) | 13.1483 | − | 15.2408i | 0.812304 | − | 0.941578i | ||||
\(263\) | −5.35509 | − | 3.89070i | −0.330209 | − | 0.239911i | 0.410310 | − | 0.911946i | \(-0.365420\pi\) |
−0.740519 | + | 0.672035i | \(0.765420\pi\) | |||||||
\(264\) | −17.1752 | − | 1.87151i | −1.05706 | − | 0.115184i | ||||
\(265\) | 9.43266 | + | 0.564366i | 0.579443 | + | 0.0346688i | ||||
\(266\) | 10.9494 | − | 12.6919i | 0.671348 | − | 0.778189i | ||||
\(267\) | 0.942706 | − | 5.42088i | 0.0576927 | − | 0.331752i | ||||
\(268\) | −4.81667 | + | 28.5718i | −0.294225 | + | 1.74530i | ||||
\(269\) | −10.0302 | + | 3.25901i | −0.611553 | + | 0.198706i | −0.598386 | − | 0.801208i | \(-0.704191\pi\) |
−0.0131667 | + | 0.999913i | \(0.504191\pi\) | |||||||
\(270\) | −16.4235 | − | 0.517340i | −0.999504 | − | 0.0314843i | ||||
\(271\) | 13.0599 | + | 4.24343i | 0.793335 | + | 0.257770i | 0.677523 | − | 0.735501i | \(-0.263053\pi\) |
0.115811 | + | 0.993271i | \(0.463053\pi\) | |||||||
\(272\) | 6.33838 | + | 4.80029i | 0.384321 | + | 0.291061i | ||||
\(273\) | 20.8954 | − | 2.98680i | 1.26465 | − | 0.180769i | ||||
\(274\) | 6.87472 | + | 0.575414i | 0.415317 | + | 0.0347621i | ||||
\(275\) | 7.40964 | − | 16.0007i | 0.446818 | − | 0.964880i | ||||
\(276\) | −2.60803 | + | 3.40694i | −0.156985 | + | 0.205074i | ||||
\(277\) | −2.80357 | + | 2.03691i | −0.168450 | + | 0.122386i | −0.668816 | − | 0.743428i | \(-0.733199\pi\) |
0.500366 | + | 0.865814i | \(0.333199\pi\) | |||||||
\(278\) | 9.59444 | − | 22.8416i | 0.575436 | − | 1.36995i | ||||
\(279\) | −8.17612 | − | 28.0155i | −0.489491 | − | 1.67724i | ||||
\(280\) | −7.37404 | − | 22.3987i | −0.440683 | − | 1.33858i | ||||
\(281\) | 11.6216 | − | 3.77609i | 0.693286 | − | 0.225262i | 0.0588833 | − | 0.998265i | \(-0.481246\pi\) |
0.634403 | + | 0.773003i | \(0.281246\pi\) | |||||||
\(282\) | 4.16036 | + | 2.66576i | 0.247746 | + | 0.158743i | ||||
\(283\) | −18.0203 | + | 5.85515i | −1.07120 | + | 0.348053i | −0.790953 | − | 0.611876i | \(-0.790415\pi\) |
−0.280243 | + | 0.959929i | \(0.590415\pi\) | |||||||
\(284\) | 7.46131 | + | 7.61101i | 0.442748 | + | 0.451630i | ||||
\(285\) | 11.9822 | + | 2.83010i | 0.709765 | + | 0.167640i | ||||
\(286\) | 8.44822 | + | 13.9412i | 0.499554 | + | 0.824358i | ||||
\(287\) | −36.8925 | − | 26.8039i | −2.17769 | − | 1.58219i | ||||
\(288\) | −15.2978 | − | 7.34690i | −0.901432 | − | 0.432920i | ||||
\(289\) | −10.5568 | + | 7.66994i | −0.620986 | + | 0.451173i | ||||
\(290\) | −4.22498 | − | 8.01627i | −0.248099 | − | 0.470732i | ||||
\(291\) | −3.79431 | + | 1.86167i | −0.222426 | + | 0.109133i | ||||
\(292\) | −2.03988 | − | 13.7625i | −0.119375 | − | 0.805391i | ||||
\(293\) | − | 3.61826i | − | 0.211381i | −0.994399 | − | 0.105690i | \(-0.966295\pi\) | ||
0.994399 | − | 0.105690i | \(-0.0337053\pi\) | |||||||
\(294\) | 4.27572 | − | 16.3565i | 0.249365 | − | 0.953932i | ||||
\(295\) | −6.50014 | − | 2.55052i | −0.378453 | − | 0.148497i | ||||
\(296\) | −8.76560 | − | 5.55285i | −0.509490 | − | 0.322753i | ||||
\(297\) | 3.68338 | − | 17.9508i | 0.213731 | − | 1.04161i | ||||
\(298\) | −1.17948 | + | 0.714756i | −0.0683256 | + | 0.0414047i | ||||
\(299\) | 4.04828 | 0.234118 | ||||||||
\(300\) | 12.0931 | − | 12.3999i | 0.698193 | − | 0.715909i | ||||
\(301\) | 18.9527 | 1.09242 | ||||||||
\(302\) | −21.5256 | + | 13.0443i | −1.23866 | + | 0.750618i | ||||
\(303\) | 13.5047 | − | 13.1029i | 0.775827 | − | 0.752742i | ||||
\(304\) | 10.1367 | + | 7.67693i | 0.581381 | + | 0.440302i | ||||
\(305\) | 13.4424 | − | 16.3511i | 0.769708 | − | 0.936259i | ||||
\(306\) | −5.69906 | + | 6.21617i | −0.325794 | + | 0.355355i | ||||
\(307\) | 9.93345i | 0.566932i | 0.958982 | + | 0.283466i | \(0.0914843\pi\) | ||||
−0.958982 | + | 0.283466i | \(0.908516\pi\) | |||||||
\(308\) | 26.0140 | − | 3.85578i | 1.48228 | − | 0.219704i | ||||
\(309\) | 9.47692 | + | 19.3151i | 0.539123 | + | 1.09880i | ||||
\(310\) | 27.6002 | + | 13.5861i | 1.56758 | + | 0.771636i | ||||
\(311\) | −15.5100 | + | 11.2687i | −0.879494 | + | 0.638990i | −0.933117 | − | 0.359572i | \(-0.882923\pi\) |
0.0536238 | + | 0.998561i | \(0.482923\pi\) | |||||||
\(312\) | 3.26930 | + | 15.6749i | 0.185088 | + | 0.887417i | ||||
\(313\) | 9.58416 | + | 6.96330i | 0.541729 | + | 0.393589i | 0.824727 | − | 0.565532i | \(-0.191329\pi\) |
−0.282998 | + | 0.959120i | \(0.591329\pi\) | |||||||
\(314\) | 3.52716 | + | 5.82048i | 0.199049 | + | 0.328468i | ||||
\(315\) | 24.3857 | − | 5.56069i | 1.37398 | − | 0.313309i | ||||
\(316\) | −14.4174 | + | 14.1338i | −0.811042 | + | 0.795090i | ||||
\(317\) | −17.6980 | + | 5.75042i | −0.994017 | + | 0.322976i | −0.760472 | − | 0.649370i | \(-0.775033\pi\) |
−0.233545 | + | 0.972346i | \(0.575033\pi\) | |||||||
\(318\) | −5.58462 | + | 8.71575i | −0.313170 | + | 0.488755i | ||||
\(319\) | 9.61093 | − | 3.12278i | 0.538109 | − | 0.174842i | ||||
\(320\) | 16.6013 | − | 6.66322i | 0.928038 | − | 0.372485i | ||||
\(321\) | −4.90218 | − | 5.05252i | −0.273613 | − | 0.282004i | ||||
\(322\) | 2.52922 | − | 6.02134i | 0.140948 | − | 0.335556i | ||||
\(323\) | 5.11207 | − | 3.71414i | 0.284443 | − | 0.206660i | ||||
\(324\) | 9.27876 | − | 15.4242i | 0.515486 | − | 0.856898i | ||||
\(325\) | −16.2258 | − | 1.94859i | −0.900046 | − | 0.108088i | ||||
\(326\) | −14.3857 | − | 1.20408i | −0.796749 | − | 0.0666879i | ||||
\(327\) | −1.77578 | − | 12.4232i | −0.0982008 | − | 0.687007i | ||||
\(328\) | 18.5121 | − | 29.2228i | 1.02216 | − | 1.61356i | ||||
\(329\) | −7.15311 | − | 2.32419i | −0.394364 | − | 0.128137i | ||||
\(330\) | 11.3336 | + | 15.6416i | 0.623893 | + | 0.861044i | ||||
\(331\) | −12.9742 | + | 4.21557i | −0.713125 | + | 0.231709i | −0.643040 | − | 0.765832i | \(-0.722327\pi\) |
−0.0700853 | + | 0.997541i | \(0.522327\pi\) | |||||||
\(332\) | −29.6976 | − | 5.00645i | −1.62986 | − | 0.274764i | ||||
\(333\) | 6.73500 | − | 8.70450i | 0.369076 | − | 0.477004i | ||||
\(334\) | 2.88715 | − | 3.34663i | 0.157978 | − | 0.183119i | ||||
\(335\) | 27.2986 | − | 17.4421i | 1.49148 | − | 0.952961i | ||||
\(336\) | 25.3571 | + | 4.93042i | 1.38334 | + | 0.268977i | ||||
\(337\) | 8.98416 | + | 6.52737i | 0.489398 | + | 0.355569i | 0.804953 | − | 0.593339i | \(-0.202191\pi\) |
−0.315555 | + | 0.948907i | \(0.602191\pi\) | |||||||
\(338\) | −2.14045 | + | 2.48110i | −0.116425 | + | 0.134954i | ||||
\(339\) | −21.8634 | + | 3.12516i | −1.18746 | + | 0.169736i | ||||
\(340\) | −0.775848 | − | 8.85553i | −0.0420763 | − | 0.480259i | ||||
\(341\) | −20.1652 | + | 27.7550i | −1.09201 | + | 1.50302i | ||||
\(342\) | −9.11429 | + | 9.94128i | −0.492845 | + | 0.537563i | ||||
\(343\) | − | 0.365751i | − | 0.0197487i | ||||||
\(344\) | 0.914402 | + | 14.3483i | 0.0493013 | + | 0.773607i | ||||
\(345\) | 4.78081 | − | 0.393959i | 0.257390 | − | 0.0212100i | ||||
\(346\) | −4.50499 | + | 10.7251i | −0.242190 | + | 0.576583i | ||||
\(347\) | −9.64726 | + | 29.6912i | −0.517892 | + | 1.59391i | 0.260065 | + | 0.965591i | \(0.416256\pi\) |
−0.777957 | + | 0.628317i | \(0.783744\pi\) | |||||||
\(348\) | 9.92329 | + | 0.248456i | 0.531944 | + | 0.0133187i | ||||
\(349\) | −29.9971 | −1.60571 | −0.802854 | − | 0.596176i | \(-0.796686\pi\) | ||||
−0.802854 | + | 0.596176i | \(0.796686\pi\) | |||||||
\(350\) | −13.0356 | + | 22.9165i | −0.696782 | + | 1.22494i | ||||
\(351\) | −16.8775 | + | 1.89440i | −0.900856 | + | 0.101115i | ||||
\(352\) | 4.17412 | + | 19.5080i | 0.222482 | + | 1.03978i | ||||
\(353\) | −11.6343 | − | 3.78021i | −0.619231 | − | 0.201200i | −0.0174322 | − | 0.999848i | \(-0.505549\pi\) |
−0.601799 | + | 0.798648i | \(0.705549\pi\) | |||||||
\(354\) | 5.91491 | − | 4.84997i | 0.314374 | − | 0.257773i | ||||
\(355\) | 0.711693 | − | 11.8950i | 0.0377728 | − | 0.631323i | ||||
\(356\) | −6.28477 | + | 0.931528i | −0.333092 | + | 0.0493709i | ||||
\(357\) | 5.99985 | − | 11.3484i | 0.317546 | − | 0.600620i | ||||
\(358\) | −9.11390 | + | 2.14025i | −0.481684 | + | 0.113115i | ||||
\(359\) | 18.1287 | + | 13.1713i | 0.956796 | + | 0.695153i | 0.952404 | − | 0.304837i | \(-0.0986020\pi\) |
0.00439181 | + | 0.999990i | \(0.498602\pi\) | |||||||
\(360\) | 5.38627 | + | 18.1931i | 0.283882 | + | 0.958859i | ||||
\(361\) | −7.19578 | + | 5.22804i | −0.378725 | + | 0.275160i | ||||
\(362\) | 9.44314 | − | 10.9460i | 0.496320 | − | 0.575307i | ||||
\(363\) | −2.23453 | + | 1.09637i | −0.117283 | + | 0.0575444i | ||||
\(364\) | −10.8490 | − | 21.8255i | −0.568642 | − | 1.14397i | ||||
\(365\) | −9.87831 | + | 12.0158i | −0.517055 | + | 0.628935i | ||||
\(366\) | 8.44187 | + | 21.5963i | 0.441264 | + | 1.12886i | ||||
\(367\) | −3.66107 | + | 1.18955i | −0.191106 | + | 0.0620941i | −0.403006 | − | 0.915197i | \(-0.632035\pi\) |
0.211900 | + | 0.977291i | \(0.432035\pi\) | |||||||
\(368\) | 4.68051 | + | 1.62425i | 0.243989 | + | 0.0846700i | ||||
\(369\) | 29.0191 | + | 22.4532i | 1.51068 | + | 1.16887i | ||||
\(370\) | 1.97294 | + | 11.4322i | 0.102568 | + | 0.594331i | ||||
\(371\) | 4.86905 | − | 14.9854i | 0.252789 | − | 0.778003i | ||||
\(372\) | −27.7503 | + | 19.1192i | −1.43878 | + | 0.991282i | ||||
\(373\) | −2.92021 | + | 2.12166i | −0.151203 | + | 0.109855i | −0.660815 | − | 0.750549i | \(-0.729789\pi\) |
0.509612 | + | 0.860405i | \(0.329789\pi\) | |||||||
\(374\) | 9.87910 | + | 0.826881i | 0.510836 | + | 0.0427570i | ||||
\(375\) | −19.3514 | − | 0.722170i | −0.999304 | − | 0.0372927i | ||||
\(376\) | 1.41443 | − | 5.52744i | 0.0729435 | − | 0.285056i | ||||
\(377\) | −5.50510 | − | 7.57712i | −0.283527 | − | 0.390242i | ||||
\(378\) | −7.72679 | + | 26.2869i | −0.397423 | + | 1.35205i | ||||
\(379\) | −18.4435 | − | 5.99265i | −0.947377 | − | 0.307822i | −0.205728 | − | 0.978609i | \(-0.565956\pi\) |
−0.741649 | + | 0.670788i | \(0.765956\pi\) | |||||||
\(380\) | −1.24078 | − | 14.1623i | −0.0636509 | − | 0.726511i | ||||
\(381\) | 0.752738 | − | 4.32850i | 0.0385640 | − | 0.221756i | ||||
\(382\) | −0.980177 | + | 11.7106i | −0.0501502 | + | 0.599166i | ||||
\(383\) | −2.00882 | − | 6.18251i | −0.102646 | − | 0.315912i | 0.886525 | − | 0.462681i | \(-0.153112\pi\) |
−0.989171 | + | 0.146769i | \(0.953112\pi\) | |||||||
\(384\) | −2.50921 | + | 19.4346i | −0.128048 | + | 0.991768i | ||||
\(385\) | −22.7123 | − | 18.6720i | −1.15753 | − | 0.951614i | ||||
\(386\) | 16.5311 | + | 27.2794i | 0.841410 | + | 1.38849i | ||||
\(387\) | −15.2426 | − | 0.460504i | −0.774823 | − | 0.0234087i | ||||
\(388\) | 3.41641 | + | 3.48495i | 0.173442 | + | 0.176922i | ||||
\(389\) | 15.1483 | + | 20.8499i | 0.768050 | + | 1.05713i | 0.996502 | + | 0.0835748i | \(0.0266337\pi\) |
−0.228452 | + | 0.973555i | \(0.573366\pi\) | |||||||
\(390\) | 10.5413 | − | 14.4696i | 0.533778 | − | 0.732698i | ||||
\(391\) | 1.44712 | − | 1.99179i | 0.0731839 | − | 0.100729i | ||||
\(392\) | −19.4820 | + | 1.24157i | −0.983990 | + | 0.0627088i | ||||
\(393\) | 11.5223 | − | 21.7939i | 0.581225 | − | 1.09936i | ||||
\(394\) | −4.87640 | − | 20.7654i | −0.245669 | − | 1.04614i | ||||
\(395\) | 22.5325 | + | 1.34815i | 1.13374 | + | 0.0678327i | ||||
\(396\) | −21.0152 | + | 2.46890i | −1.05605 | + | 0.124067i | ||||
\(397\) | 0.244560 | − | 0.752678i | 0.0122741 | − | 0.0377758i | −0.944732 | − | 0.327844i | \(-0.893678\pi\) |
0.957006 | + | 0.290068i | \(0.0936780\pi\) | |||||||
\(398\) | −2.93783 | + | 1.78030i | −0.147260 | + | 0.0892383i | ||||
\(399\) | 9.59533 | − | 18.1490i | 0.480367 | − | 0.908589i | ||||
\(400\) | −17.9780 | − | 8.76303i | −0.898901 | − | 0.438152i | ||||
\(401\) | 0.428760i | 0.0214112i | 0.999943 | + | 0.0107056i | \(0.00340777\pi\) | ||||
−0.999943 | + | 0.0107056i | \(0.996592\pi\) | |||||||
\(402\) | 2.07384 | + | 35.4263i | 0.103434 | + | 1.76690i | ||||
\(403\) | 30.2397 | + | 9.82549i | 1.50635 | + | 0.489442i | ||||
\(404\) | −19.2605 | − | 10.0559i | −0.958243 | − | 0.500298i | ||||
\(405\) | −19.7471 | + | 3.87962i | −0.981242 | + | 0.192780i | ||||
\(406\) | −14.7095 | + | 3.45427i | −0.730018 | + | 0.171432i | ||||
\(407\) | −12.9378 | −0.641303 | ||||||||
\(408\) | 8.88083 | + | 3.99470i | 0.439667 | + | 0.197767i | ||||
\(409\) | −1.76803 | − | 1.28455i | −0.0874236 | − | 0.0635169i | 0.543215 | − | 0.839594i | \(-0.317207\pi\) |
−0.630638 | + | 0.776077i | \(0.717207\pi\) | |||||||
\(410\) | −38.1127 | + | 6.57739i | −1.88225 | + | 0.324834i | ||||
\(411\) | 8.36420 | − | 1.19558i | 0.412576 | − | 0.0589736i | ||||
\(412\) | 17.7403 | − | 17.3914i | 0.874004 | − | 0.856815i | ||||
\(413\) | −6.84367 | + | 9.41951i | −0.336755 | + | 0.463504i | ||||
\(414\) | −2.18041 | + | 4.78115i | −0.107161 | + | 0.234981i | ||||
\(415\) | 18.1293 | + | 28.3741i | 0.889931 | + | 1.39283i | ||||
\(416\) | 15.9997 | − | 9.26629i | 0.784450 | − | 0.454317i | ||||
\(417\) | 5.19867 | − | 29.8941i | 0.254580 | − | 1.46392i | ||||
\(418\) | 15.7993 | + | 1.32240i | 0.772767 | + | 0.0646807i | ||||
\(419\) | −9.76274 | − | 30.0466i | −0.476941 | − | 1.46787i | −0.843322 | − | 0.537409i | \(-0.819403\pi\) |
0.366381 | − | 0.930465i | \(-0.380597\pi\) | |||||||
\(420\) | −14.9360 | − | 24.7190i | −0.728804 | − | 1.20616i | ||||
\(421\) | 9.48522 | − | 29.1925i | 0.462281 | − | 1.42276i | −0.400088 | − | 0.916477i | \(-0.631020\pi\) |
0.862370 | − | 0.506279i | \(-0.168980\pi\) | |||||||
\(422\) | 11.7662 | − | 28.0119i | 0.572769 | − | 1.36360i | ||||
\(423\) | 5.69635 | + | 2.04301i | 0.276966 | + | 0.0993345i | ||||
\(424\) | 11.5797 | + | 2.96315i | 0.562360 | + | 0.143903i | ||||
\(425\) | −6.75887 | + | 7.28667i | −0.327854 | + | 0.353455i | ||||
\(426\) | 10.9910 | + | 7.04247i | 0.532514 | + | 0.341209i | ||||
\(427\) | −20.7461 | − | 28.5545i | −1.00397 | − | 1.38185i | ||||
\(428\) | −3.76219 | + | 7.20590i | −0.181852 | + | 0.348310i | ||||
\(429\) | 13.9024 | + | 14.3288i | 0.671216 | + | 0.691801i | ||||
\(430\) | 11.2082 | − | 11.5222i | 0.540508 | − | 0.555652i | ||||
\(431\) | 7.88093 | + | 24.2550i | 0.379611 | + | 1.16832i | 0.940315 | + | 0.340306i | \(0.110531\pi\) |
−0.560703 | + | 0.828017i | \(0.689469\pi\) | |||||||
\(432\) | −20.2734 | − | 4.58136i | −0.975405 | − | 0.220421i | ||||
\(433\) | 0.154154 | + | 0.474436i | 0.00740816 | + | 0.0228000i | 0.954692 | − | 0.297595i | \(-0.0961844\pi\) |
−0.947284 | + | 0.320395i | \(0.896184\pi\) | |||||||
\(434\) | 33.5069 | − | 38.8394i | 1.60838 | − | 1.86435i | ||||
\(435\) | −7.23860 | − | 8.41245i | −0.347064 | − | 0.403346i | ||||
\(436\) | −12.9762 | + | 6.45019i | −0.621448 | + | 0.308908i | ||||
\(437\) | 2.31432 | − | 3.18539i | 0.110709 | − | 0.152378i | ||||
\(438\) | −6.20363 | − | 15.8703i | −0.296421 | − | 0.758314i | ||||
\(439\) | −22.1168 | − | 30.4412i | −1.05558 | − | 1.45288i | −0.883872 | − | 0.467729i | \(-0.845072\pi\) |
−0.171705 | − | 0.985148i | \(-0.554928\pi\) | |||||||
\(440\) | 13.0400 | − | 18.0953i | 0.621656 | − | 0.862661i | ||||
\(441\) | 0.625270 | − | 20.6963i | 0.0297748 | − | 0.985537i | ||||
\(442\) | −2.10050 | − | 8.94467i | −0.0999108 | − | 0.425455i | ||||
\(443\) | −0.491915 | −0.0233716 | −0.0116858 | − | 0.999932i | \(-0.503720\pi\) | ||||
−0.0116858 | + | 0.999932i | \(0.503720\pi\) | |||||||
\(444\) | −11.9844 | − | 4.22842i | −0.568753 | − | 0.200672i | ||||
\(445\) | 5.48711 | + | 4.51101i | 0.260114 | + | 0.213843i | ||||
\(446\) | −7.07182 | + | 16.8359i | −0.334860 | + | 0.797205i | ||||
\(447\) | −1.21228 | + | 1.17621i | −0.0573389 | + | 0.0556327i | ||||
\(448\) | −3.78647 | − | 29.5869i | −0.178894 | − | 1.39785i | ||||
\(449\) | 10.9779i | 0.518081i | 0.965866 | + | 0.259040i | \(0.0834063\pi\) | ||||
−0.965866 | + | 0.259040i | \(0.916594\pi\) | |||||||
\(450\) | 11.0406 | − | 18.1137i | 0.520458 | − | 0.853887i | ||||
\(451\) | − | 43.1322i | − | 2.03101i | ||||||
\(452\) | 11.3516 | + | 22.8366i | 0.533934 | + | 1.07414i | ||||
\(453\) | −22.1242 | + | 21.4659i | −1.03948 | + | 1.00855i | ||||
\(454\) | −26.2117 | − | 11.0101i | −1.23018 | − | 0.516728i | ||||
\(455\) | −9.95355 | + | 25.3672i | −0.466629 | + | 1.18923i | ||||
\(456\) | 14.2028 | + | 6.38857i | 0.665106 | + | 0.299172i | ||||
\(457\) | 11.4440 | 0.535328 | 0.267664 | − | 0.963512i | \(-0.413748\pi\) | ||||
0.267664 | + | 0.963512i | \(0.413748\pi\) | |||||||
\(458\) | −29.5052 | + | 6.92880i | −1.37869 | + | 0.323762i | ||||
\(459\) | −5.10106 | + | 8.98105i | −0.238097 | + | 0.419200i | ||||
\(460\) | −2.16493 | − | 5.09851i | −0.100940 | − | 0.237719i | ||||
\(461\) | −20.3963 | − | 28.0731i | −0.949950 | − | 1.30749i | −0.951550 | − | 0.307495i | \(-0.900509\pi\) |
0.00160016 | − | 0.999999i | \(-0.499491\pi\) | |||||||
\(462\) | 29.9981 | − | 11.7261i | 1.39564 | − | 0.545548i | ||||
\(463\) | −1.65458 | + | 2.27734i | −0.0768950 | + | 0.105837i | −0.845732 | − | 0.533608i | \(-0.820836\pi\) |
0.768837 | + | 0.639445i | \(0.220836\pi\) | |||||||
\(464\) | −3.32475 | − | 10.9692i | −0.154348 | − | 0.509233i | ||||
\(465\) | 36.6677 | + | 8.66060i | 1.70042 | + | 0.401626i | ||||
\(466\) | −14.2184 | − | 12.2663i | −0.658656 | − | 0.568226i | ||||
\(467\) | 12.0315 | + | 37.0291i | 0.556751 | + | 1.71350i | 0.691275 | + | 0.722592i | \(0.257049\pi\) |
−0.134524 | + | 0.990910i | \(0.542951\pi\) | |||||||
\(468\) | 8.19490 | + | 17.8166i | 0.378809 | + | 0.823571i | ||||
\(469\) | −16.6922 | − | 51.3732i | −0.770772 | − | 2.37219i | ||||
\(470\) | −5.64317 | + | 2.97424i | −0.260300 | + | 0.137191i | ||||
\(471\) | 5.80431 | + | 5.98232i | 0.267449 | + | 0.275651i | ||||
\(472\) | −7.46127 | − | 4.72658i | −0.343433 | − | 0.217559i | ||||
\(473\) | 10.5369 | + | 14.5028i | 0.484486 | + | 0.666838i | ||||
\(474\) | −13.3404 | + | 20.8200i | −0.612746 | + | 0.956295i | ||||
\(475\) | −10.8092 | + | 11.6533i | −0.495960 | + | 0.534690i | ||||
\(476\) | −14.6165 | − | 2.46406i | −0.669944 | − | 0.112940i | ||||
\(477\) | −4.28000 | + | 11.9336i | −0.195968 | + | 0.546400i | ||||
\(478\) | −23.7867 | − | 9.99145i | −1.08798 | − | 0.456998i | ||||
\(479\) | −7.46967 | + | 22.9893i | −0.341298 | + | 1.05041i | 0.622238 | + | 0.782828i | \(0.286224\pi\) |
−0.963536 | + | 0.267579i | \(0.913776\pi\) | |||||||
\(480\) | 17.9930 | − | 12.5000i | 0.821266 | − | 0.570545i | ||||
\(481\) | 3.70536 | + | 11.4039i | 0.168950 | + | 0.519974i | ||||
\(482\) | 0.328512 | − | 3.92487i | 0.0149633 | − | 0.178773i | ||||
\(483\) | 1.37044 | − | 7.88049i | 0.0623572 | − | 0.358575i | ||||
\(484\) | 2.01199 | + | 2.05235i | 0.0914539 | + | 0.0932887i | ||||
\(485\) | 0.325873 | − | 5.44654i | 0.0147971 | − | 0.247315i | ||||
\(486\) | 6.85290 | − | 20.9532i | 0.310854 | − | 0.950458i | ||||
\(487\) | −13.4284 | + | 18.4826i | −0.608499 | + | 0.837527i | −0.996453 | − | 0.0841514i | \(-0.973182\pi\) |
0.387954 | + | 0.921679i | \(0.373182\pi\) | |||||||
\(488\) | 20.6164 | − | 17.0836i | 0.933263 | − | 0.773338i | ||||
\(489\) | −17.5025 | + | 2.50181i | −0.791490 | + | 0.113136i | ||||
\(490\) | 15.6448 | + | 15.2185i | 0.706762 | + | 0.687500i | ||||
\(491\) | −7.17720 | − | 5.21454i | −0.323903 | − | 0.235329i | 0.413936 | − | 0.910306i | \(-0.364154\pi\) |
−0.737839 | + | 0.674977i | \(0.764154\pi\) | |||||||
\(492\) | 14.0967 | − | 39.9536i | 0.635530 | − | 1.80125i | ||||
\(493\) | −5.69588 | −0.256530 | ||||||||
\(494\) | −3.35926 | − | 14.3049i | −0.151140 | − | 0.643606i | ||||
\(495\) | 17.8125 | + | 15.5686i | 0.800611 | + | 0.699758i | ||||
\(496\) | 31.0202 | + | 23.4928i | 1.39285 | + | 1.05486i | ||||
\(497\) | −18.8973 | − | 6.14011i | −0.847660 | − | 0.275422i | ||||
\(498\) | −36.8221 | + | 2.15555i | −1.65004 | + | 0.0965927i | ||||
\(499\) | 7.10021i | 0.317849i | 0.987291 | + | 0.158925i | \(0.0508027\pi\) | ||||
−0.987291 | + | 0.158925i | \(0.949197\pi\) | |||||||
\(500\) | 6.22307 | + | 21.4773i | 0.278304 | + | 0.960493i | ||||
\(501\) | 2.53012 | − | 4.78558i | 0.113037 | − | 0.213804i | ||||
\(502\) | −8.13654 | − | 13.4268i | −0.363151 | − | 0.599269i | ||||
\(503\) | 3.16395 | − | 9.73764i | 0.141074 | − | 0.434180i | −0.855412 | − | 0.517949i | \(-0.826696\pi\) |
0.996485 | + | 0.0837689i | \(0.0266957\pi\) | |||||||
\(504\) | 31.6199 | − | 1.05778i | 1.40846 | − | 0.0471172i | ||||
\(505\) | 6.11345 | + | 23.5103i | 0.272045 | + | 1.04619i | ||||
\(506\) | 6.01370 | − | 1.41222i | 0.267342 | − | 0.0627807i | ||||
\(507\) | −1.87576 | + | 3.54790i | −0.0833055 | + | 0.157568i | ||||
\(508\) | −5.01831 | + | 0.743813i | −0.222652 | + | 0.0330014i | ||||
\(509\) | 18.1736 | − | 25.0138i | 0.805531 | − | 1.10872i | −0.186466 | − | 0.982461i | \(-0.559703\pi\) |
0.991998 | − | 0.126257i | \(-0.0402965\pi\) | |||||||
\(510\) | −3.35104 | − | 10.3588i | −0.148386 | − | 0.458694i | ||||
\(511\) | 15.2455 | + | 20.9837i | 0.674423 | + | 0.928264i | ||||
\(512\) | 22.2162 | − | 4.29403i | 0.981828 | − | 0.189771i | ||||
\(513\) | −8.15793 | + | 14.3631i | −0.360181 | + | 0.634144i | ||||
\(514\) | 24.7507 | − | 14.9987i | 1.09171 | − | 0.661565i | ||||
\(515\) | −27.7259 | − | 1.65887i | −1.22175 | − | 0.0730986i | ||||
\(516\) | 5.02049 | + | 16.8777i | 0.221015 | + | 0.743001i | ||||
\(517\) | −2.19833 | − | 6.76576i | −0.0966823 | − | 0.297558i | ||||
\(518\) | 19.2770 | + | 1.61348i | 0.846981 | + | 0.0708923i | ||||
\(519\) | −2.44100 | + | 14.0365i | −0.107148 | + | 0.616136i | ||||
\(520\) | −19.6846 | − | 6.31151i | −0.863226 | − | 0.276778i | ||||
\(521\) | 10.0963 | + | 3.28050i | 0.442329 | + | 0.143721i | 0.521710 | − | 0.853123i | \(-0.325294\pi\) |
−0.0793809 | + | 0.996844i | \(0.525294\pi\) | |||||||
\(522\) | 11.9139 | − | 2.42066i | 0.521456 | − | 0.105949i | ||||
\(523\) | 8.14789 | + | 11.2146i | 0.356282 | + | 0.490381i | 0.949108 | − | 0.314950i | \(-0.101988\pi\) |
−0.592826 | + | 0.805331i | \(0.701988\pi\) | |||||||
\(524\) | −28.0700 | − | 4.73207i | −1.22624 | − | 0.206721i | ||||
\(525\) | −9.28600 | + | 30.9259i | −0.405274 | + | 1.34972i | ||||
\(526\) | −0.780789 | + | 9.32842i | −0.0340440 | + | 0.406738i | ||||
\(527\) | 15.6438 | − | 11.3659i | 0.681457 | − | 0.495107i | ||||
\(528\) | 10.3246 | + | 22.1445i | 0.449321 | + | 0.963716i | ||||
\(529\) | −6.63333 | + | 20.4153i | −0.288406 | + | 0.887622i | ||||
\(530\) | −6.23087 | − | 11.8221i | −0.270652 | − | 0.513521i | ||||
\(531\) | 5.73283 | − | 7.40927i | 0.248784 | − | 0.321535i | ||||
\(532\) | −23.3755 | − | 3.94067i | −1.01346 | − | 0.170850i | ||||
\(533\) | −38.0185 | + | 12.3530i | −1.64676 | + | 0.535066i | ||||
\(534\) | −7.24732 | + | 2.83294i | −0.313622 | + | 0.122593i | ||||
\(535\) | 8.79588 | − | 2.28722i | 0.380279 | − | 0.0988852i | ||||
\(536\) | 38.0870 | − | 15.1155i | 1.64511 | − | 0.652889i | ||||
\(537\) | −10.2936 | + | 5.05052i | −0.444201 | + | 0.217946i | ||||
\(538\) | 11.2931 | + | 9.74262i | 0.486880 | + | 0.420034i | ||||
\(539\) | −19.6918 | + | 14.3069i | −0.848185 | + | 0.616242i | ||||
\(540\) | 11.4116 | + | 20.2429i | 0.491075 | + | 0.871117i | ||||
\(541\) | 26.1598 | + | 19.0062i | 1.12470 | + | 0.817140i | 0.984914 | − | 0.173042i | \(-0.0553597\pi\) |
0.139782 | + | 0.990182i | \(0.455360\pi\) | |||||||
\(542\) | −4.43969 | − | 18.9057i | −0.190701 | − | 0.812070i | ||||
\(543\) | 8.27538 | − | 15.6524i | 0.355130 | − | 0.671710i | ||||
\(544\) | 1.16024 | − | 11.1843i | 0.0497447 | − | 0.479525i | ||||
\(545\) | 15.0819 | + | 5.91781i | 0.646037 | + | 0.253491i | ||||
\(546\) | −18.9273 | − | 23.0833i | −0.810013 | − | 0.987874i | ||||
\(547\) | 6.72237 | + | 2.18423i | 0.287428 | + | 0.0933910i | 0.449182 | − | 0.893440i | \(-0.351715\pi\) |
−0.161755 | + | 0.986831i | \(0.551715\pi\) | |||||||
\(548\) | −4.34273 | − | 8.73650i | −0.185512 | − | 0.373205i | ||||
\(549\) | 15.9910 | + | 23.4688i | 0.682481 | + | 1.00162i | ||||
\(550\) | −24.7831 | + | 2.76564i | −1.05676 | + | 0.117927i | ||||
\(551\) | −9.10920 | −0.388065 | ||||||||
\(552\) | 6.03209 | + | 0.657293i | 0.256743 | + | 0.0279762i | ||||
\(553\) | 11.6311 | − | 35.7968i | 0.494605 | − | 1.52224i | ||||
\(554\) | 4.51840 | + | 1.89792i | 0.191968 | + | 0.0806350i | ||||
\(555\) | 5.48561 | + | 13.1068i | 0.232851 | + | 0.556354i | ||||
\(556\) | −34.6582 | + | 5.13703i | −1.46984 | + | 0.217859i | ||||
\(557\) | − | 15.5161i | − | 0.657438i | −0.944428 | − | 0.328719i | \(-0.893383\pi\) | ||
0.944428 | − | 0.328719i | \(-0.106617\pi\) | |||||||
\(558\) | −27.8913 | + | 30.4221i | −1.18073 | + | 1.28787i | ||||
\(559\) | 9.76560 | − | 13.4412i | 0.413041 | − | 0.568502i | ||||
\(560\) | −21.6858 | + | 25.3353i | −0.916394 | + | 1.07061i | ||||
\(561\) | 12.0195 | − | 1.71807i | 0.507464 | − | 0.0725370i | ||||
\(562\) | −13.0849 | − | 11.2884i | −0.551951 | − | 0.476171i | ||||
\(563\) | −15.7275 | − | 11.4267i | −0.662834 | − | 0.481577i | 0.204785 | − | 0.978807i | \(-0.434350\pi\) |
−0.867619 | + | 0.497230i | \(0.834350\pi\) | |||||||
\(564\) | 0.174904 | − | 6.98564i | 0.00736480 | − | 0.294149i | ||||
\(565\) | 10.4147 | − | 26.5424i | 0.438148 | − | 1.11665i | ||||
\(566\) | 20.2892 | + | 17.5036i | 0.852820 | + | 0.735732i | ||||
\(567\) | −2.02577 | + | 33.4955i | −0.0850742 | + | 1.40668i | ||||
\(568\) | 3.73667 | − | 14.6026i | 0.156787 | − | 0.612709i | ||||
\(569\) | −21.9307 | + | 7.12572i | −0.919383 | + | 0.298726i | −0.730214 | − | 0.683219i | \(-0.760580\pi\) |
−0.189170 | + | 0.981944i | \(0.560580\pi\) | |||||||
\(570\) | −5.35918 | − | 16.5664i | −0.224471 | − | 0.693889i | ||||
\(571\) | −6.39705 | − | 2.07853i | −0.267708 | − | 0.0869837i | 0.172087 | − | 0.985082i | \(-0.444949\pi\) |
−0.439795 | + | 0.898098i | \(0.644949\pi\) | |||||||
\(572\) | 10.6695 | − | 20.4357i | 0.446113 | − | 0.854461i | ||||
\(573\) | 2.03658 | + | 14.2478i | 0.0850795 | + | 0.595211i | ||||
\(574\) | −5.37904 | + | 64.2657i | −0.224517 | + | 2.68240i | ||||
\(575\) | −2.60234 | + | 5.61961i | −0.108525 | + | 0.234354i | ||||
\(576\) | 2.32635 | + | 23.8870i | 0.0969311 | + | 0.995291i | ||||
\(577\) | −13.2129 | + | 9.59973i | −0.550060 | + | 0.399642i | −0.827808 | − | 0.561012i | \(-0.810412\pi\) |
0.277748 | + | 0.960654i | \(0.410412\pi\) | |||||||
\(578\) | 17.0139 | + | 7.14658i | 0.707685 | + | 0.297258i | ||||
\(579\) | 27.2037 | + | 28.0380i | 1.13055 | + | 1.16522i | ||||
\(580\) | −6.59883 | + | 10.9853i | −0.274002 | + | 0.456141i | ||||
\(581\) | 53.3973 | − | 17.3498i | 2.21529 | − | 0.719792i | ||||
\(582\) | 5.03258 | + | 3.22463i | 0.208607 | + | 0.133665i | ||||
\(583\) | 14.1739 | − | 4.60538i | 0.587023 | − | 0.190735i | ||||
\(584\) | −15.1503 | + | 12.5541i | −0.626923 | + | 0.519493i | ||||
\(585\) | 8.62141 | − | 20.1595i | 0.356451 | − | 0.833492i | ||||
\(586\) | −4.37617 | + | 2.65192i | −0.180778 | + | 0.109550i | ||||
\(587\) | 7.11997 | + | 5.17296i | 0.293872 | + | 0.213511i | 0.724946 | − | 0.688806i | \(-0.241865\pi\) |
−0.431073 | + | 0.902317i | \(0.641865\pi\) | |||||||
\(588\) | −22.9165 | + | 6.81679i | −0.945061 | + | 0.281120i | ||||
\(589\) | 25.0186 | − | 18.1771i | 1.03087 | − | 0.748973i | ||||
\(590\) | 1.67936 | + | 9.73107i | 0.0691382 | + | 0.400622i | ||||
\(591\) | −11.5073 | − | 23.4532i | −0.473345 | − | 0.964736i | ||||
\(592\) | −0.291451 | + | 14.6716i | −0.0119785 | + | 0.602998i | ||||
\(593\) | 23.8066i | 0.977622i | 0.872390 | + | 0.488811i | \(0.162569\pi\) | ||||
−0.872390 | + | 0.488811i | \(0.837431\pi\) | |||||||
\(594\) | −24.4106 | + | 8.70173i | −1.00158 | + | 0.357036i | ||||
\(595\) | 8.92281 | + | 13.9651i | 0.365800 | + | 0.572513i | ||||
\(596\) | 1.72895 | + | 0.902684i | 0.0708206 | + | 0.0369754i | ||||
\(597\) | −3.01952 | + | 2.92967i | −0.123581 | + | 0.119903i | ||||
\(598\) | −2.96710 | − | 4.89627i | −0.121334 | − | 0.200224i | ||||
\(599\) | −16.6142 | −0.678837 | −0.339419 | − | 0.940635i | \(-0.610230\pi\) | ||||
−0.339419 | + | 0.940635i | \(0.610230\pi\) | |||||||
\(600\) | −23.8607 | − | 5.53795i | −0.974107 | − | 0.226086i | ||||
\(601\) | 1.87047 | 0.0762980 | 0.0381490 | − | 0.999272i | \(-0.487854\pi\) | ||||
0.0381490 | + | 0.999272i | \(0.487854\pi\) | |||||||
\(602\) | −13.8910 | − | 22.9227i | −0.566154 | − | 0.934262i | ||||
\(603\) | 12.1763 | + | 41.7220i | 0.495856 | + | 1.69905i | ||||
\(604\) | 31.5535 | + | 16.4740i | 1.28389 | + | 0.670319i | ||||
\(605\) | 0.191912 | − | 3.20756i | 0.00780234 | − | 0.130406i | ||||
\(606\) | −25.7456 | − | 6.73009i | −1.04584 | − | 0.273391i | ||||
\(607\) | − | 3.55849i | − | 0.144434i | −0.997389 | − | 0.0722172i | \(-0.976993\pi\) | ||
0.997389 | − | 0.0722172i | \(-0.0230075\pi\) | |||||||
\(608\) | 1.85552 | − | 17.8867i | 0.0752513 | − | 0.725401i | ||||
\(609\) | −16.6134 | + | 8.15134i | −0.673210 | + | 0.330309i | ||||
\(610\) | −29.6284 | − | 4.27400i | −1.19962 | − | 0.173049i | ||||
\(611\) | −5.33403 | + | 3.87540i | −0.215792 | + | 0.156782i | ||||
\(612\) | 11.6953 | + | 2.33684i | 0.472753 | + | 0.0944611i | ||||
\(613\) | −13.2664 | − | 9.63859i | −0.535824 | − | 0.389299i | 0.286708 | − | 0.958018i | \(-0.407439\pi\) |
−0.822532 | + | 0.568719i | \(0.807439\pi\) | |||||||
\(614\) | 12.0142 | − | 7.28050i | 0.484854 | − | 0.293817i | ||||
\(615\) | −43.6957 | + | 18.2880i | −1.76198 | + | 0.737442i | ||||
\(616\) | −23.7298 | − | 28.6371i | −0.956102 | − | 1.15382i | ||||
\(617\) | −20.4200 | + | 6.63486i | −0.822078 | + | 0.267109i | −0.689705 | − | 0.724090i | \(-0.742260\pi\) |
−0.132373 | + | 0.991200i | \(0.542260\pi\) | |||||||
\(618\) | 16.4152 | − | 25.6187i | 0.660315 | − | 1.03053i | ||||
\(619\) | −5.10918 | + | 1.66007i | −0.205355 | + | 0.0667240i | −0.409889 | − | 0.912136i | \(-0.634432\pi\) |
0.204533 | + | 0.978860i | \(0.434432\pi\) | |||||||
\(620\) | −3.79702 | − | 43.3392i | −0.152492 | − | 1.74054i | ||||
\(621\) | −1.29364 | + | 6.30451i | −0.0519120 | + | 0.252991i | ||||
\(622\) | 24.9969 | + | 10.4998i | 1.00228 | + | 0.421003i | ||||
\(623\) | 9.58238 | − | 6.96200i | 0.383910 | − | 0.278927i | ||||
\(624\) | 16.5622 | − | 15.4427i | 0.663017 | − | 0.618203i | ||||
\(625\) | 13.1353 | − | 21.2712i | 0.525412 | − | 0.850848i | ||||
\(626\) | 1.39740 | − | 16.6953i | 0.0558514 | − | 0.667280i | ||||
\(627\) | 19.2223 | − | 2.74764i | 0.767667 | − | 0.109730i | ||||
\(628\) | 4.45454 | − | 8.53198i | 0.177755 | − | 0.340463i | ||||
\(629\) | 6.93535 | + | 2.25343i | 0.276531 | + | 0.0898502i | ||||
\(630\) | −24.5985 | − | 25.4182i | −0.980027 | − | 1.01269i | ||||
\(631\) | 27.3070 | − | 8.87259i | 1.08708 | − | 0.353212i | 0.289960 | − | 0.957039i | \(-0.406358\pi\) |
0.797116 | + | 0.603827i | \(0.206358\pi\) | |||||||
\(632\) | 27.6614 | + | 7.07832i | 1.10031 | + | 0.281560i | ||||
\(633\) | 6.37542 | − | 36.6608i | 0.253400 | − | 1.45714i | ||||
\(634\) | 19.9263 | + | 17.1905i | 0.791374 | + | 0.682723i | ||||
\(635\) | 4.38139 | + | 3.60199i | 0.173870 | + | 0.142940i | ||||
\(636\) | 14.6346 | + | 0.366415i | 0.580298 | + | 0.0145293i | ||||
\(637\) | 18.2504 | + | 13.2597i | 0.723107 | + | 0.525368i | ||||
\(638\) | −10.8210 | − | 9.33536i | −0.428409 | − | 0.369590i | ||||
\(639\) | 15.0488 | + | 5.39728i | 0.595321 | + | 0.213513i | ||||
\(640\) | −20.2265 | − | 15.1951i | −0.799522 | − | 0.600637i | ||||
\(641\) | −21.2586 | + | 29.2599i | −0.839664 | + | 1.15570i | 0.146383 | + | 0.989228i | \(0.453237\pi\) |
−0.986047 | + | 0.166470i | \(0.946763\pi\) | |||||||
\(642\) | −2.51792 | + | 9.63217i | −0.0993745 | + | 0.380151i | ||||
\(643\) | 28.9777i | 1.14277i | 0.820683 | + | 0.571384i | \(0.193593\pi\) | ||||
−0.820683 | + | 0.571384i | \(0.806407\pi\) | |||||||
\(644\) | −9.13636 | + | 1.35419i | −0.360023 | + | 0.0533625i | ||||
\(645\) | 10.2246 | − | 16.8237i | 0.402594 | − | 0.662432i | ||||
\(646\) | −8.23892 | − | 3.46070i | −0.324156 | − | 0.136159i | ||||
\(647\) | −1.21180 | + | 3.72955i | −0.0476409 | + | 0.146624i | −0.972047 | − | 0.234786i | \(-0.924561\pi\) |
0.924406 | + | 0.381409i | \(0.124561\pi\) | |||||||
\(648\) | −25.4557 | + | 0.0824239i | −0.999995 | + | 0.00323792i | ||||
\(649\) | −11.0126 | −0.432284 | ||||||||
\(650\) | 9.53558 | + | 21.0528i | 0.374016 | + | 0.825759i | ||||
\(651\) | 29.3634 | − | 55.5393i | 1.15084 | − | 2.17676i | ||||
\(652\) | 9.08736 | + | 18.2815i | 0.355889 | + | 0.715960i | ||||
\(653\) | 38.0650 | + | 12.3681i | 1.48960 | + | 0.484001i | 0.936965 | − | 0.349423i | \(-0.113622\pi\) |
0.552635 | + | 0.833423i | \(0.313622\pi\) | |||||||
\(654\) | −13.7240 | + | 11.2531i | −0.536651 | + | 0.440030i | ||||
\(655\) | 17.1357 | + | 26.8191i | 0.669547 | + | 1.04791i | ||||
\(656\) | −48.9122 | − | 0.971640i | −1.90970 | − | 0.0379362i | ||||
\(657\) | −11.7512 | − | 17.2464i | −0.458459 | − | 0.672845i | ||||
\(658\) | 2.43168 | + | 10.3549i | 0.0947969 | + | 0.403677i | ||||
\(659\) | −26.7703 | − | 19.4498i | −1.04282 | − | 0.757656i | −0.0719890 | − | 0.997405i | \(-0.522935\pi\) |
−0.970835 | + | 0.239750i | \(0.922935\pi\) | |||||||
\(660\) | 10.6114 | − | 25.1718i | 0.413047 | − | 0.979812i | ||||
\(661\) | −5.86281 | + | 4.25958i | −0.228037 | + | 0.165678i | −0.695937 | − | 0.718103i | \(-0.745011\pi\) |
0.467900 | + | 0.883781i | \(0.345011\pi\) | |||||||
\(662\) | 14.6077 | + | 12.6022i | 0.567746 | + | 0.489797i | ||||
\(663\) | −4.95674 | − | 10.1025i | −0.192504 | − | 0.392347i | ||||
\(664\) | 15.7110 | + | 39.5877i | 0.609706 | + | 1.53630i | ||||
\(665\) | 14.2699 | + | 22.3338i | 0.553363 | + | 0.866069i | ||||
\(666\) | −15.4641 | − | 1.76601i | −0.599222 | − | 0.0684315i | ||||
\(667\) | −3.37546 | + | 1.09675i | −0.130698 | + | 0.0424664i | ||||
\(668\) | −6.16372 | − | 1.03909i | −0.238481 | − | 0.0402035i | ||||
\(669\) | −3.83181 | + | 22.0342i | −0.148146 | + | 0.851892i | ||||
\(670\) | −41.1035 | − | 20.2330i | −1.58797 | − | 0.781669i | ||||
\(671\) | 10.3162 | − | 31.7501i | 0.398254 | − | 1.22570i | ||||
\(672\) | −12.6217 | − | 34.2823i | −0.486894 | − | 1.32247i | ||||
\(673\) | −27.0338 | + | 19.6412i | −1.04208 | + | 0.757114i | −0.970690 | − | 0.240334i | \(-0.922743\pi\) |
−0.0713881 | + | 0.997449i | \(0.522743\pi\) | |||||||
\(674\) | 1.30992 | − | 15.6502i | 0.0504562 | − | 0.602822i | ||||
\(675\) | 8.21960 | − | 24.6463i | 0.316373 | − | 0.948635i | ||||
\(676\) | 4.56961 | + | 0.770350i | 0.175754 | + | 0.0296288i | ||||
\(677\) | 17.3447 | + | 23.8729i | 0.666611 | + | 0.917511i | 0.999678 | − | 0.0253923i | \(-0.00808348\pi\) |
−0.333067 | + | 0.942903i | \(0.608083\pi\) | |||||||
\(678\) | 19.8041 | + | 24.1527i | 0.760573 | + | 0.927577i | ||||
\(679\) | −8.65277 | − | 2.81145i | −0.332063 | − | 0.107894i | ||||
\(680\) | −10.1419 | + | 7.42883i | −0.388922 | + | 0.284883i | ||||
\(681\) | −34.3049 | − | 5.96572i | −1.31457 | − | 0.228607i | ||||
\(682\) | 48.3485 | + | 4.04677i | 1.85136 | + | 0.154959i | ||||
\(683\) | 10.6640 | + | 32.8204i | 0.408047 | + | 1.25584i | 0.918324 | + | 0.395829i | \(0.129543\pi\) |
−0.510278 | + | 0.860010i | \(0.670457\pi\) | |||||||
\(684\) | 18.7038 | + | 3.73722i | 0.715158 | + | 0.142896i | ||||
\(685\) | −3.98429 | + | 10.1542i | −0.152232 | + | 0.387972i | ||||
\(686\) | −0.442364 | + | 0.268069i | −0.0168895 | + | 0.0102349i | ||||
\(687\) | −33.3243 | + | 16.3505i | −1.27140 | + | 0.623810i | ||||
\(688\) | 16.6836 | − | 11.6222i | 0.636056 | − | 0.443092i | ||||
\(689\) | −8.11875 | − | 11.1745i | −0.309300 | − | 0.425715i | ||||
\(690\) | −3.98047 | − | 5.49350i | −0.151534 | − | 0.209134i | ||||
\(691\) | 10.0608 | − | 13.8475i | 0.382732 | − | 0.526785i | −0.573574 | − | 0.819154i | \(-0.694443\pi\) |
0.956306 | + | 0.292369i | \(0.0944435\pi\) | |||||||
\(692\) | 16.2735 | − | 2.41205i | 0.618625 | − | 0.0916925i | ||||
\(693\) | 32.5991 | − | 22.2122i | 1.23834 | − | 0.843772i | ||||
\(694\) | 42.9814 | − | 10.0935i | 1.63155 | − | 0.383142i | ||||
\(695\) | 30.2594 | + | 24.8766i | 1.14780 | + | 0.943622i | ||||
\(696\) | −6.97255 | − | 12.1840i | −0.264294 | − | 0.461834i | ||||
\(697\) | −7.51251 | + | 23.1211i | −0.284557 | + | 0.875775i | ||||
\(698\) | 21.9857 | + | 36.2806i | 0.832171 | + | 1.37324i | ||||
\(699\) | −20.3320 | − | 10.7494i | −0.769026 | − | 0.406581i | ||||
\(700\) | 37.2710 | − | 1.03001i | 1.40871 | − | 0.0389307i | ||||
\(701\) | − | 14.9700i | − | 0.565410i | −0.959207 | − | 0.282705i | \(-0.908768\pi\) | ||
0.959207 | − | 0.282705i | \(-0.0912318\pi\) | |||||||
\(702\) | 14.6612 | + | 19.0244i | 0.553352 | + | 0.718030i | ||||
\(703\) | 11.0914 | + | 3.60383i | 0.418322 | + | 0.135921i | ||||
\(704\) | 20.5350 | − | 19.3464i | 0.773941 | − | 0.729146i | ||||
\(705\) | −5.92207 | + | 5.09572i | −0.223038 | + | 0.191916i | ||||
\(706\) | 3.95505 | + | 16.8420i | 0.148850 | + | 0.633855i | ||||
\(707\) | 40.5058 | 1.52338 | ||||||||
\(708\) | −10.2011 | − | 3.59923i | −0.383381 | − | 0.135267i | ||||
\(709\) | −4.40902 | − | 3.20334i | −0.165584 | − | 0.120304i | 0.501907 | − | 0.864922i | \(-0.332632\pi\) |
−0.667491 | + | 0.744618i | \(0.732632\pi\) | |||||||
\(710\) | −14.9083 | + | 7.85743i | −0.559498 | + | 0.294884i | ||||
\(711\) | −10.2240 | + | 28.5067i | −0.383429 | + | 1.06908i | ||||
\(712\) | 5.73294 | + | 6.91850i | 0.214851 | + | 0.259282i | ||||
\(713\) | 7.08222 | − | 9.74785i | 0.265231 | − | 0.365060i | ||||
\(714\) | −18.1230 | + | 1.06091i | −0.678236 | + | 0.0397037i | ||||
\(715\) | −24.9449 | + | 6.48650i | −0.932885 | + | 0.242581i | ||||
\(716\) | 9.26839 | + | 9.45434i | 0.346376 | + | 0.353325i | ||||
\(717\) | −31.1311 | − | 5.41379i | −1.16261 | − | 0.202182i | ||||
\(718\) | 2.64322 | − | 31.5797i | 0.0986442 | − | 1.17854i | ||||
\(719\) | 5.38345 | + | 16.5685i | 0.200769 | + | 0.617902i | 0.999861 | + | 0.0166936i | \(0.00531398\pi\) |
−0.799092 | + | 0.601209i | \(0.794686\pi\) | |||||||
\(720\) | 18.0562 | − | 19.8487i | 0.672916 | − | 0.739719i | ||||
\(721\) | −14.3119 | + | 44.0474i | −0.533002 | + | 1.64041i | ||||
\(722\) | 11.5971 | + | 4.87130i | 0.431601 | + | 0.181291i | ||||
\(723\) | −0.682573 | − | 4.77524i | −0.0253852 | − | 0.177593i | ||||
\(724\) | −20.1599 | − | 3.39859i | −0.749238 | − | 0.126307i | ||||
\(725\) | 14.0570 | − | 2.77113i | 0.522063 | − | 0.102917i | ||||
\(726\) | 2.96378 | + | 1.89904i | 0.109996 | + | 0.0704801i | ||||
\(727\) | −3.34911 | − | 4.60965i | −0.124212 | − | 0.170962i | 0.742383 | − | 0.669976i | \(-0.233696\pi\) |
−0.866594 | + | 0.499014i | \(0.833696\pi\) | |||||||
\(728\) | −18.4458 | + | 29.1181i | −0.683646 | + | 1.07919i | ||||
\(729\) | 2.44306 | − | 26.8892i | 0.0904837 | − | 0.995898i | ||||
\(730\) | 21.7728 | + | 3.14081i | 0.805849 | + | 0.116247i | ||||
\(731\) | −3.12232 | − | 9.60950i | −0.115483 | − | 0.355420i | ||||
\(732\) | 19.9328 | − | 26.0387i | 0.736737 | − | 0.962419i | ||||
\(733\) | 3.44514 | + | 10.6030i | 0.127249 | + | 0.391632i | 0.994304 | − | 0.106580i | \(-0.0339900\pi\) |
−0.867055 | + | 0.498212i | \(0.833990\pi\) | |||||||
\(734\) | 4.12202 | + | 3.55609i | 0.152147 | + | 0.131258i | ||||
\(735\) | 22.8431 | + | 13.8830i | 0.842581 | + | 0.512080i | ||||
\(736\) | −1.46599 | − | 6.85140i | −0.0540373 | − | 0.252546i | ||||
\(737\) | 30.0310 | − | 41.3342i | 1.10621 | − | 1.52256i | ||||
\(738\) | 5.88754 | − | 51.5544i | 0.216723 | − | 1.89774i | ||||
\(739\) | −4.31876 | − | 5.94426i | −0.158868 | − | 0.218663i | 0.722161 | − | 0.691725i | \(-0.243149\pi\) |
−0.881029 | + | 0.473061i | \(0.843149\pi\) | |||||||
\(740\) | 12.3809 | − | 10.7652i | 0.455130 | − | 0.395736i | ||||
\(741\) | −7.92713 | − | 16.1565i | −0.291210 | − | 0.593523i | ||||
\(742\) | −21.6931 | + | 5.09425i | −0.796377 | + | 0.187016i | ||||
\(743\) | 49.9238 | 1.83153 | 0.915763 | − | 0.401720i | \(-0.131587\pi\) | ||||
0.915763 | + | 0.401720i | \(0.131587\pi\) | |||||||
\(744\) | 43.4630 | + | 19.5502i | 1.59343 | + | 0.716743i | ||||
\(745\) | −0.548786 | − | 2.11044i | −0.0201060 | − | 0.0773207i | ||||
\(746\) | 4.70639 | + | 1.97689i | 0.172313 | + | 0.0723790i | ||||
\(747\) | −43.3658 | + | 12.6560i | −1.58667 | + | 0.463060i | ||||
\(748\) | −6.24058 | − | 12.5545i | −0.228178 | − | 0.459038i | ||||
\(749\) | − | 15.1544i | − | 0.553730i | ||||||
\(750\) | 13.3098 | + | 23.9343i | 0.486004 | + | 0.873956i | ||||
\(751\) | 15.6934i | 0.572659i | 0.958131 | + | 0.286329i | \(0.0924352\pi\) | ||||
−0.958131 | + | 0.286329i | \(0.907565\pi\) | |||||||
\(752\) | −7.72194 | + | 2.34051i | −0.281590 | + | 0.0853495i | ||||
\(753\) | −13.3895 | − | 13.8002i | −0.487942 | − | 0.502906i | ||||
\(754\) | −5.12946 | + | 12.2117i | −0.186804 | + | 0.444725i | ||||
\(755\) | −10.0154 | − | 38.5157i | −0.364497 | − | 1.40173i | ||||
\(756\) | 37.4564 | − | 9.92106i | 1.36227 | − | 0.360826i | ||||
\(757\) | 29.7944 | 1.08290 | 0.541448 | − | 0.840734i | \(-0.317876\pi\) | ||||
0.541448 | + | 0.840734i | \(0.317876\pi\) | |||||||
\(758\) | 6.26981 | + | 26.6990i | 0.227730 | + | 0.969751i | ||||
\(759\) | 6.79211 | − | 3.33253i | 0.246538 | − | 0.120963i | ||||
\(760\) | −16.2195 | + | 11.8806i | −0.588342 | + | 0.430956i | ||||
\(761\) | −13.6667 | − | 18.8106i | −0.495418 | − | 0.681884i | 0.485958 | − | 0.873982i | \(-0.338471\pi\) |
−0.981376 | + | 0.192098i | \(0.938471\pi\) | |||||||
\(762\) | −5.78689 | + | 2.26206i | −0.209637 | + | 0.0819459i | ||||
\(763\) | 15.8790 | − | 21.8555i | 0.574857 | − | 0.791223i | ||||
\(764\) | 14.8820 | − | 7.39752i | 0.538412 | − | 0.267633i | ||||
\(765\) | −6.83677 | − | 11.4481i | −0.247184 | − | 0.413907i | ||||
\(766\) | −6.00524 | + | 6.96094i | −0.216978 | + | 0.251509i | ||||
\(767\) | 3.15400 | + | 9.70701i | 0.113884 | + | 0.350500i | ||||
\(768\) | 25.3446 | − | 11.2093i | 0.914546 | − | 0.404482i | ||||
\(769\) | 4.88353 | + | 15.0299i | 0.176104 | + | 0.541994i | 0.999682 | − | 0.0252096i | \(-0.00802532\pi\) |
−0.823578 | + | 0.567203i | \(0.808025\pi\) | |||||||
\(770\) | −5.93677 | + | 41.1551i | −0.213946 | + | 1.48313i | ||||
\(771\) | 25.4389 | − | 24.6820i | 0.916161 | − | 0.888900i | ||||
\(772\) | 20.8775 | − | 39.9877i | 0.751399 | − | 1.43919i | ||||
\(773\) | −32.3212 | − | 44.4864i | −1.16251 | − | 1.60006i | −0.701499 | − | 0.712671i | \(-0.747485\pi\) |
−0.461015 | − | 0.887392i | \(-0.652515\pi\) | |||||||
\(774\) | 10.6147 | + | 18.7729i | 0.381538 | + | 0.674779i | ||||
\(775\) | −33.0781 | + | 35.6611i | −1.18820 | + | 1.28099i | ||||
\(776\) | 1.71096 | − | 6.68627i | 0.0614199 | − | 0.240023i | ||||
\(777\) | 23.4535 | − | 3.35245i | 0.841390 | − | 0.120268i | ||||
\(778\) | 14.1147 | − | 33.6029i | 0.506035 | − | 1.20472i | ||||
\(779\) | −12.0145 | + | 36.9767i | −0.430463 | + | 1.32483i | ||||
\(780\) | −25.2266 | − | 2.14416i | −0.903256 | − | 0.0767733i | ||||
\(781\) | −5.80761 | − | 17.8740i | −0.207813 | − | 0.639581i | ||||
\(782\) | −3.46964 | − | 0.290409i | −0.124074 | − | 0.0103850i | ||||
\(783\) | 13.5592 | − | 6.15197i | 0.484568 | − | 0.219853i | ||||
\(784\) | 15.7806 | + | 22.6529i | 0.563591 | + | 0.809033i | ||||
\(785\) | −10.4146 | + | 2.70813i | −0.371711 | + | 0.0966574i | ||||
\(786\) | −34.8041 | + | 2.03742i | −1.24142 | + | 0.0726723i | ||||
\(787\) | 3.11769 | − | 4.29113i | 0.111134 | − | 0.152962i | −0.749827 | − | 0.661634i | \(-0.769863\pi\) |
0.860961 | + | 0.508672i | \(0.169863\pi\) | |||||||
\(788\) | −21.5410 | + | 21.1174i | −0.767367 | + | 0.752275i | ||||
\(789\) | 1.62230 | + | 11.3495i | 0.0577555 | + | 0.404054i | ||||
\(790\) | −14.8842 | − | 28.2405i | −0.529556 | − | 1.00475i | ||||
\(791\) | −38.4631 | − | 27.9451i | −1.36759 | − | 0.993614i | ||||
\(792\) | 18.3887 | + | 23.6077i | 0.653413 | + | 0.838863i | ||||
\(793\) | −30.9404 | −1.09873 | ||||||||
\(794\) | −1.08959 | + | 0.255871i | −0.0386679 | + | 0.00908052i | ||||
\(795\) | −10.6753 | − | 12.4064i | −0.378613 | − | 0.440010i | ||||
\(796\) | 4.30643 | + | 2.24838i | 0.152638 | + | 0.0796919i | ||||
\(797\) | 36.1519 | + | 11.7465i | 1.28057 | + | 0.416081i | 0.868780 | − | 0.495199i | \(-0.164905\pi\) |
0.411787 | + | 0.911280i | \(0.364905\pi\) | |||||||
\(798\) | −28.9834 | + | 1.69668i | −1.02600 | + | 0.0600618i | ||||
\(799\) | 4.00970i | 0.141853i | ||||||||
\(800\) | 2.57797 | + | 28.1665i | 0.0911450 | + | 0.995838i | ||||
\(801\) | −7.87570 | + | 5.36630i | −0.278274 | + | 0.189609i | ||||
\(802\) | 0.518572 | − | 0.314250i | 0.0183114 | − | 0.0110966i | ||||
\(803\) | −7.58102 | + | 23.3320i | −0.267529 | + | 0.823368i | ||||
\(804\) | 41.3271 | − | 28.4732i | 1.45749 | − | 1.00417i | ||||
\(805\) | 7.97678 | + | 6.55780i | 0.281145 | + | 0.231132i | ||||
\(806\) | −10.2799 | − | 43.7754i | −0.362095 | − | 1.54192i | ||||
\(807\) | 16.1488 | + | 8.53783i | 0.568466 | + | 0.300546i | ||||
\(808\) | 1.95426 | + | 30.6652i | 0.0687507 | + | 1.07880i | ||||
\(809\) | 13.8713 | − | 19.0922i | 0.487689 | − | 0.671247i | −0.492270 | − | 0.870442i | \(-0.663833\pi\) |
0.979960 | + | 0.199196i | \(0.0638329\pi\) | |||||||
\(810\) | 19.1655 | + | 21.0401i | 0.673407 | + | 0.739272i | ||||
\(811\) | −29.4566 | − | 40.5435i | −1.03436 | − | 1.42367i | −0.901623 | − | 0.432523i | \(-0.857623\pi\) |
−0.132737 | − | 0.991151i | \(-0.542377\pi\) | |||||||
\(812\) | 14.9588 | + | 15.2589i | 0.524951 | + | 0.535483i | ||||
\(813\) | −10.4767 | − | 21.3529i | −0.367435 | − | 0.748877i | ||||
\(814\) | 9.48248 | + | 15.6479i | 0.332361 | + | 0.548458i | ||||
\(815\) | 8.33731 | − | 21.2481i | 0.292043 | − | 0.744289i | ||||
\(816\) | −1.67754 | − | 13.6689i | −0.0587257 | − | 0.478508i | ||||
\(817\) | −4.99340 | − | 15.3681i | −0.174697 | − | 0.537662i | ||||
\(818\) | −0.257785 | + | 3.07986i | −0.00901323 | + | 0.107685i | ||||
\(819\) | −28.9151 | − | 22.3727i | −1.01038 | − | 0.781766i | ||||
\(820\) | 35.8890 | + | 41.2754i | 1.25330 | + | 1.44140i | ||||
\(821\) | −42.9828 | − | 13.9660i | −1.50011 | − | 0.487415i | −0.560060 | − | 0.828452i | \(-0.689222\pi\) |
−0.940050 | + | 0.341037i | \(0.889222\pi\) | |||||||
\(822\) | −7.57638 | − | 9.23998i | −0.264256 | − | 0.322281i | ||||
\(823\) | −4.85475 | − | 6.68199i | −0.169226 | − | 0.232920i | 0.715978 | − | 0.698123i | \(-0.245981\pi\) |
−0.885204 | + | 0.465203i | \(0.845981\pi\) | |||||||
\(824\) | −34.0368 | − | 8.70974i | −1.18573 | − | 0.303418i | ||||
\(825\) | −28.8273 | + | 10.0877i | −1.00364 | + | 0.351209i | ||||
\(826\) | 16.4085 | + | 1.37339i | 0.570926 | + | 0.0477865i | ||||
\(827\) | 30.2506 | − | 21.9783i | 1.05192 | − | 0.764261i | 0.0793397 | − | 0.996848i | \(-0.474719\pi\) |
0.972576 | + | 0.232586i | \(0.0747188\pi\) | |||||||
\(828\) | 7.38074 | − | 0.867103i | 0.256498 | − | 0.0301339i | ||||
\(829\) | −11.1726 | + | 34.3858i | −0.388042 | + | 1.19427i | 0.546208 | + | 0.837650i | \(0.316071\pi\) |
−0.934250 | + | 0.356620i | \(0.883929\pi\) | |||||||
\(830\) | 21.0302 | − | 42.7230i | 0.729969 | − | 1.48294i | ||||
\(831\) | 5.91350 | + | 1.02837i | 0.205137 | + | 0.0356739i | ||||
\(832\) | −22.9339 | − | 12.5596i | −0.795091 | − | 0.435427i | ||||
\(833\) | 13.0477 | − | 4.23947i | 0.452077 | − | 0.146889i | ||||
\(834\) | −39.9663 | + | 15.6226i | −1.38392 | + | 0.540966i | ||||
\(835\) | 3.76272 | + | 5.88904i | 0.130214 | + | 0.203799i | ||||
\(836\) | −9.98032 | − | 20.0780i | −0.345177 | − | 0.694411i | ||||
\(837\) | −24.9647 | + | 43.9535i | −0.862907 | + | 1.51925i | ||||
\(838\) | −29.1851 | + | 33.8297i | −1.00818 | + | 1.16863i | ||||
\(839\) | 24.4427 | − | 17.7586i | 0.843854 | − | 0.613096i | −0.0795906 | − | 0.996828i | \(-0.525361\pi\) |
0.923445 | + | 0.383732i | \(0.125361\pi\) | |||||||
\(840\) | −18.9498 | + | 36.1819i | −0.653832 | + | 1.24840i | ||||
\(841\) | −16.8186 | − | 12.2194i | −0.579951 | − | 0.421359i | ||||
\(842\) | −42.2594 | + | 9.92392i | −1.45636 | + | 0.342001i | ||||
\(843\) | −18.7110 | − | 9.89243i | −0.644440 | − | 0.340713i | ||||
\(844\) | −42.5033 | + | 6.29983i | −1.46302 | + | 0.216849i | ||||
\(845\) | −2.78958 | − | 4.36597i | −0.0959645 | − | 0.150194i | ||||
\(846\) | −1.70406 | − | 8.38694i | −0.0585867 | − | 0.288349i | ||||
\(847\) | −5.09577 | − | 1.65571i | −0.175093 | − | 0.0568910i | ||||
\(848\) | −4.90324 | − | 16.1771i | −0.168378 | − | 0.555523i | ||||
\(849\) | 29.0130 | + | 15.3391i | 0.995725 | + | 0.526436i | ||||
\(850\) | 13.7668 | + | 2.83405i | 0.472196 | + | 0.0972071i | ||||
\(851\) | 4.54388 | 0.155762 | ||||||||
\(852\) | 0.462068 | − | 18.4549i | 0.0158302 | − | 0.632254i | ||||
\(853\) | −6.86533 | + | 21.1293i | −0.235065 | + | 0.723454i | 0.762048 | + | 0.647520i | \(0.224194\pi\) |
−0.997113 | + | 0.0759342i | \(0.975806\pi\) | |||||||
\(854\) | −19.3305 | + | 46.0202i | −0.661475 | + | 1.57478i | ||||
\(855\) | −10.9338 | − | 18.3085i | −0.373928 | − | 0.626137i | ||||
\(856\) | 11.4727 | − | 0.731147i | 0.392130 | − | 0.0249901i | ||||
\(857\) | 7.19446i | 0.245758i | 0.992422 | + | 0.122879i | \(0.0392127\pi\) | ||||
−0.992422 | + | 0.122879i | \(0.960787\pi\) | |||||||
\(858\) | 7.14077 | − | 27.3166i | 0.243782 | − | 0.932572i | ||||
\(859\) | 27.3615 | − | 37.6598i | 0.933561 | − | 1.28494i | −0.0248928 | − | 0.999690i | \(-0.507924\pi\) |
0.958454 | − | 0.285247i | \(-0.0920756\pi\) | |||||||
\(860\) | −22.1506 | − | 5.11102i | −0.755330 | − | 0.174284i | ||||
\(861\) | 11.1764 | + | 78.1895i | 0.380891 | + | 2.66469i | ||||
\(862\) | 23.5596 | − | 27.3089i | 0.802441 | − | 0.930146i | ||||
\(863\) | −8.03676 | − | 5.83905i | −0.273574 | − | 0.198763i | 0.442535 | − | 0.896751i | \(-0.354079\pi\) |
−0.716110 | + | 0.697988i | \(0.754079\pi\) | |||||||
\(864\) | 9.31793 | + | 27.8779i | 0.317002 | + | 0.948425i | ||||
\(865\) | −14.2081 | − | 11.6806i | −0.483088 | − | 0.397152i | ||||
\(866\) | 0.460833 | − | 0.534172i | 0.0156597 | − | 0.0181519i | ||||
\(867\) | 22.2671 | + | 3.87232i | 0.756231 | + | 0.131511i | ||||
\(868\) | −71.5332 | − | 12.0592i | −2.42800 | − | 0.409314i | ||||
\(869\) | 33.8584 | − | 11.0012i | 1.14857 | − | 0.373192i | ||||
\(870\) | −4.86923 | + | 14.9206i | −0.165082 | + | 0.505855i | ||||
\(871\) | −45.0345 | − | 14.6326i | −1.52594 | − | 0.495806i | ||||
\(872\) | 17.3119 | + | 10.9668i | 0.586256 | + | 0.371383i | ||||
\(873\) | 6.89059 | + | 2.47133i | 0.233211 | + | 0.0836417i | ||||
\(874\) | −5.54886 | − | 0.464440i | −0.187693 | − | 0.0157099i | ||||
\(875\) | −28.8150 | − | 30.1236i | −0.974125 | − | 1.01837i | ||||
\(876\) | −14.6479 | + | 19.1349i | −0.494906 | + | 0.646509i | ||||
\(877\) | −2.69068 | + | 1.95489i | −0.0908578 | + | 0.0660121i | −0.632287 | − | 0.774734i | \(-0.717884\pi\) |
0.541429 | + | 0.840747i | \(0.317884\pi\) | |||||||
\(878\) | −20.6076 | + | 49.0608i | −0.695474 | + | 1.65572i | ||||
\(879\) | −4.49786 | + | 4.36402i | −0.151709 | + | 0.147195i | ||||
\(880\) | −31.4431 | − | 2.50887i | −1.05995 | − | 0.0845741i | ||||
\(881\) | −25.3805 | + | 8.24661i | −0.855089 | + | 0.277835i | −0.703576 | − | 0.710620i | \(-0.748415\pi\) |
−0.151513 | + | 0.988455i | \(0.548415\pi\) | |||||||
\(882\) | −25.4898 | + | 14.4126i | −0.858286 | + | 0.485298i | ||||
\(883\) | 25.1845 | − | 8.18294i | 0.847526 | − | 0.275378i | 0.147117 | − | 0.989119i | \(-0.453001\pi\) |
0.700409 | + | 0.713741i | \(0.253001\pi\) | |||||||
\(884\) | −9.27879 | + | 9.09629i | −0.312079 | + | 0.305941i | ||||
\(885\) | 4.66934 | + | 11.1565i | 0.156958 | + | 0.375023i | ||||
\(886\) | 0.360539 | + | 0.594957i | 0.0121125 | + | 0.0199880i | ||||
\(887\) | −36.4449 | − | 26.4788i | −1.22370 | − | 0.889071i | −0.227299 | − | 0.973825i | \(-0.572990\pi\) |
−0.996402 | + | 0.0847541i | \(0.972990\pi\) | |||||||
\(888\) | 3.66954 | + | 17.5939i | 0.123142 | + | 0.590412i | ||||
\(889\) | 7.65141 | − | 5.55907i | 0.256620 | − | 0.186445i | ||||
\(890\) | 1.43428 | − | 9.94274i | 0.0480771 | − | 0.333282i | ||||
\(891\) | −26.7572 | + | 17.0719i | −0.896401 | + | 0.571930i | ||||
\(892\) | 25.5457 | − | 3.78638i | 0.855333 | − | 0.126777i | ||||
\(893\) | 6.41256i | 0.214588i | ||||||||
\(894\) | 2.31110 | + | 0.604140i | 0.0772948 | + | 0.0202055i | ||||
\(895\) | 0.884060 | − | 14.7759i | 0.0295509 | − | 0.493905i | ||||
\(896\) | −33.0092 | + | 26.2647i | −1.10276 | + | 0.877442i | ||||
\(897\) | −4.88268 | − | 5.03242i | −0.163028 | − | 0.168028i | ||||
\(898\) | 13.2775 | − | 8.04604i | 0.443075 | − | 0.268500i | ||||
\(899\) | −27.8758 | −0.929709 | ||||||||
\(900\) | −29.9999 | − | 0.0772169i | −0.999997 | − | 0.00257390i | ||||
\(901\) | −8.40011 | −0.279848 | ||||||||
\(902\) | −52.1670 | + | 31.6128i | −1.73697 | + | 1.05259i | ||||
\(903\) | −22.8591 | − | 23.5601i | −0.760703 | − | 0.784032i | ||||
\(904\) | 19.3003 | − | 30.4670i | 0.641918 | − | 1.01332i | ||||
\(905\) | 12.3069 | + | 19.2615i | 0.409096 | + | 0.640275i | ||||
\(906\) | 42.1777 | + | 11.0256i | 1.40126 | + | 0.366301i | ||||
\(907\) | − | 10.5147i | − | 0.349134i | −0.984645 | − | 0.174567i | \(-0.944147\pi\) | ||
0.984645 | − | 0.174567i | \(-0.0558525\pi\) | |||||||
\(908\) | 5.89498 | + | 39.7719i | 0.195632 | + | 1.31988i | ||||
\(909\) | −32.5764 | − | 0.984191i | −1.08049 | − | 0.0326435i | ||||
\(910\) | 37.9761 | − | 6.55381i | 1.25889 | − | 0.217257i | ||||
\(911\) | −0.659734 | + | 0.479325i | −0.0218579 | + | 0.0158807i | −0.598661 | − | 0.801003i | \(-0.704300\pi\) |
0.576803 | + | 0.816884i | \(0.304300\pi\) | |||||||
\(912\) | −2.68283 | − | 21.8602i | −0.0888373 | − | 0.723863i | ||||
\(913\) | 42.9627 | + | 31.2142i | 1.42186 | + | 1.03304i | ||||
\(914\) | −8.38764 | − | 13.8412i | −0.277438 | − | 0.457826i | ||||
\(915\) | −36.5390 | + | 3.01097i | −1.20794 | + | 0.0995395i | ||||
\(916\) | 30.0054 | + | 30.6073i | 0.991405 | + | 1.01129i | ||||
\(917\) | 50.4709 | − | 16.3990i | 1.66670 | − | 0.541542i | ||||
\(918\) | 14.6010 | − | 0.412887i | 0.481906 | − | 0.0136273i | ||||
\(919\) | −29.6555 | + | 9.63567i | −0.978246 | + | 0.317851i | −0.754140 | − | 0.656713i | \(-0.771946\pi\) |
−0.224106 | + | 0.974565i | \(0.571946\pi\) | |||||||
\(920\) | −4.57976 | + | 6.35525i | −0.150990 | + | 0.209527i | ||||
\(921\) | 12.3483 | − | 11.9808i | 0.406889 | − | 0.394782i | ||||
\(922\) | −19.0045 | + | 45.2442i | −0.625881 | + | 1.49004i | ||||
\(923\) | −14.0916 | + | 10.2381i | −0.463830 | + | 0.336992i | ||||
\(924\) | −36.1689 | − | 27.6875i | −1.18987 | − | 0.910850i | ||||
\(925\) | −18.2122 | − | 2.18714i | −0.598814 | − | 0.0719129i | ||||
\(926\) | 3.96706 | + | 0.332043i | 0.130366 | + | 0.0109116i | ||||
\(927\) | 12.5804 | − | 35.0770i | 0.413195 | − | 1.15208i | ||||
\(928\) | −10.8301 | + | 12.0608i | −0.355517 | + | 0.395916i | ||||
\(929\) | −37.8470 | − | 12.2972i | −1.24172 | − | 0.403460i | −0.386774 | − | 0.922175i | \(-0.626411\pi\) |
−0.854947 | + | 0.518715i | \(0.826411\pi\) | |||||||
\(930\) | −16.4000 | − | 50.6960i | −0.537779 | − | 1.66239i | ||||
\(931\) | 20.8667 | − | 6.78002i | 0.683880 | − | 0.222206i | ||||
\(932\) | −4.41465 | + | 26.1871i | −0.144607 | + | 0.857787i | ||||
\(933\) | 32.7149 | + | 5.68922i | 1.07104 | + | 0.186257i | ||||
\(934\) | 35.9674 | − | 41.6914i | 1.17689 | − | 1.36418i | ||||
\(935\) | −5.72550 | + | 14.5918i | −0.187244 | + | 0.477202i | ||||
\(936\) | 15.5423 | − | 22.9697i | 0.508017 | − | 0.750789i | ||||
\(937\) | 12.5857 | + | 9.14401i | 0.411155 | + | 0.298722i | 0.774069 | − | 0.633101i | \(-0.218218\pi\) |
−0.362914 | + | 0.931823i | \(0.618218\pi\) | |||||||
\(938\) | −49.9002 | + | 57.8415i | −1.62930 | + | 1.88859i | ||||
\(939\) | −2.90348 | − | 20.3126i | −0.0947515 | − | 0.662876i | ||||
\(940\) | 7.73329 | + | 4.64534i | 0.252232 | + | 0.151514i | ||||
\(941\) | 9.44823 | − | 13.0044i | 0.308003 | − | 0.423930i | −0.626754 | − | 0.779217i | \(-0.715617\pi\) |
0.934757 | + | 0.355287i | \(0.115617\pi\) | |||||||
\(942\) | 2.98129 | − | 11.4047i | 0.0971357 | − | 0.371587i | ||||
\(943\) | 15.1484i | 0.493301i | ||||||||
\(944\) | −0.248082 | + | 12.4884i | −0.00807440 | + | 0.406464i | ||||
\(945\) | −36.3244 | − | 23.6071i | −1.18163 | − | 0.767939i | ||||
\(946\) | 9.81788 | − | 23.3735i | 0.319207 | − | 0.759938i | ||||
\(947\) | −7.05943 | + | 21.7267i | −0.229401 | + | 0.706022i | 0.768414 | + | 0.639953i | \(0.221046\pi\) |
−0.997815 | + | 0.0660698i | \(0.978954\pi\) | |||||||
\(948\) | 34.9587 | + | 0.875286i | 1.13541 | + | 0.0284280i | ||||
\(949\) | 22.7370 | 0.738074 | ||||||||
\(950\) | 22.0167 | + | 4.53238i | 0.714315 | + | 0.147050i | ||||
\(951\) | 28.4941 | + | 15.0647i | 0.923983 | + | 0.488506i | ||||
\(952\) | 7.73260 | + | 19.4841i | 0.250615 | + | 0.631484i | ||||
\(953\) | 13.2047 | + | 4.29046i | 0.427742 | + | 0.138982i | 0.514973 | − | 0.857206i | \(-0.327802\pi\) |
−0.0872314 | + | 0.996188i | \(0.527802\pi\) | |||||||
\(954\) | 17.5702 | − | 3.56991i | 0.568857 | − | 0.115580i | ||||
\(955\) | −17.2969 | − | 6.78695i | −0.559715 | − | 0.219620i | ||||
\(956\) | 5.34959 | + | 36.0923i | 0.173018 | + | 1.16731i | ||||
\(957\) | −15.4738 | − | 8.18093i | −0.500196 | − | 0.264452i | ||||
\(958\) | 33.2796 | − | 7.81515i | 1.07521 | − | 0.252496i | ||||
\(959\) | 14.7147 | + | 10.6908i | 0.475162 | + | 0.345225i | ||||
\(960\) | −28.3060 | − | 12.6004i | −0.913572 | − | 0.406677i | ||||
\(961\) | 51.4818 | − | 37.4037i | 1.66070 | − | 1.20657i | ||||
\(962\) | 11.0769 | − | 12.8398i | 0.357135 | − | 0.413971i | ||||
\(963\) | −0.368214 | + | 12.1878i | −0.0118655 | + | 0.392746i | ||||
\(964\) | −4.98779 | + | 2.47932i | −0.160646 | + | 0.0798536i | ||||
\(965\) | −48.8110 | + | 12.6925i | −1.57128 | + | 0.408586i | ||||
\(966\) | −10.5356 | + | 4.11833i | −0.338979 | + | 0.132505i | ||||
\(967\) | −15.7376 | + | 5.11345i | −0.506086 | + | 0.164437i | −0.550921 | − | 0.834557i | \(-0.685724\pi\) |
0.0448355 | + | 0.998994i | \(0.485724\pi\) | |||||||
\(968\) | 1.00762 | − | 3.93766i | 0.0323860 | − | 0.126561i | ||||
\(969\) | −10.7828 | − | 1.87515i | −0.346393 | − | 0.0602386i | ||||
\(970\) | −6.82626 | + | 3.59779i | −0.219178 | + | 0.115518i | ||||
\(971\) | 10.0595 | − | 30.9600i | 0.322826 | − | 0.993555i | −0.649587 | − | 0.760287i | \(-0.725058\pi\) |
0.972413 | − | 0.233268i | \(-0.0749419\pi\) | |||||||
\(972\) | −30.3650 | + | 7.06883i | −0.973957 | + | 0.226733i | ||||
\(973\) | 52.8433 | − | 38.3929i | 1.69408 | − | 1.23082i | ||||
\(974\) | 32.1962 | + | 2.69483i | 1.03163 | + | 0.0863478i | ||||
\(975\) | 17.1478 | + | 22.5205i | 0.549170 | + | 0.721234i | ||||
\(976\) | −35.7725 | − | 12.4139i | −1.14505 | − | 0.397360i | ||||
\(977\) | −10.5572 | − | 14.5307i | −0.337754 | − | 0.464878i | 0.606030 | − | 0.795442i | \(-0.292761\pi\) |
−0.943784 | + | 0.330564i | \(0.892761\pi\) | |||||||
\(978\) | 15.8539 | + | 19.3351i | 0.506953 | + | 0.618268i | ||||
\(979\) | 10.6547 | + | 3.46194i | 0.340527 | + | 0.110644i | ||||
\(980\) | 6.93973 | − | 30.0760i | 0.221681 | − | 0.960743i | ||||
\(981\) | −13.3015 | + | 17.1913i | −0.424685 | + | 0.548875i | ||||
\(982\) | −1.04646 | + | 12.5025i | −0.0333939 | + | 0.398971i | ||||
\(983\) | −13.7089 | − | 42.1918i | −0.437247 | − | 1.34571i | −0.890766 | − | 0.454462i | \(-0.849831\pi\) |
0.453519 | − | 0.891247i | \(-0.350169\pi\) | |||||||
\(984\) | −58.6546 | + | 12.2335i | −1.86984 | + | 0.389991i | ||||
\(985\) | 33.6659 | + | 2.01427i | 1.07268 | + | 0.0641799i | ||||
\(986\) | 4.17467 | + | 6.88899i | 0.132949 | + | 0.219390i | ||||
\(987\) | 5.73825 | + | 11.6953i | 0.182651 | + | 0.372264i | ||||
\(988\) | −14.8392 | + | 14.5474i | −0.472098 | + | 0.462813i | ||||
\(989\) | −3.70065 | − | 5.09351i | −0.117674 | − | 0.161964i | ||||
\(990\) | 5.77455 | − | 32.9543i | 0.183527 | − | 1.04736i | ||||
\(991\) | −3.74418 | + | 5.15342i | −0.118938 | + | 0.163704i | −0.864335 | − | 0.502917i | \(-0.832260\pi\) |
0.745397 | + | 0.666621i | \(0.232260\pi\) | |||||||
\(992\) | 5.67822 | − | 54.7364i | 0.180284 | − | 1.73788i | ||||
\(993\) | 20.8887 | + | 11.0438i | 0.662882 | + | 0.350463i | ||||
\(994\) | 6.42409 | + | 27.3560i | 0.203760 | + | 0.867679i | ||||
\(995\) | −1.36690 | − | 5.25665i | −0.0433338 | − | 0.166647i | ||||
\(996\) | 29.5950 | + | 42.9553i | 0.937754 | + | 1.36109i | ||||
\(997\) | −7.33012 | + | 22.5598i | −0.232147 | + | 0.714475i | 0.765340 | + | 0.643626i | \(0.222571\pi\) |
−0.997487 | + | 0.0708490i | \(0.977429\pi\) | |||||||
\(998\) | 8.58749 | − | 5.20394i | 0.271832 | − | 0.164728i | ||||
\(999\) | −18.9437 | + | 2.12631i | −0.599353 | + | 0.0672736i |
(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 | 300.2.n.a.11.19 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.38 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.16 | ✓ | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.41 | yes | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.41 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.16 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.38 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.19 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.16 | ✓ | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.11.19 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.11.38 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.11.41 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.191.16 | yes | 224 | 75.41 | odd | 10 | inner | |
300.2.n.a.191.19 | yes | 224 | 300.191 | even | 10 | inner | |
300.2.n.a.191.38 | yes | 224 | 100.91 | odd | 10 | inner | |
300.2.n.a.191.41 | yes | 224 | 25.16 | even | 5 | inner |