Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(19,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 55, 45]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.be (of order \(66\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 19.9 | ||
Character | \(\chi\) | \(=\) | 966.19 |
Dual form | 966.2.be.a.661.9 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{15}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.995472 | + | 0.0950560i | 0.703905 | + | 0.0672148i | ||||
\(3\) | 0.690079 | − | 0.723734i | 0.398417 | − | 0.417848i | ||||
\(4\) | 0.981929 | + | 0.189251i | 0.490964 | + | 0.0946256i | ||||
\(5\) | −3.73421 | + | 1.92512i | −1.66999 | + | 0.860939i | −0.677936 | + | 0.735121i | \(0.737125\pi\) |
−0.992053 | + | 0.125818i | \(0.959844\pi\) | |||||||
\(6\) | 0.755750 | − | 0.654861i | 0.308533 | − | 0.267346i | ||||
\(7\) | −0.120285 | − | 2.64302i | −0.0454634 | − | 0.998966i | ||||
\(8\) | 0.959493 | + | 0.281733i | 0.339232 | + | 0.0996075i | ||||
\(9\) | −0.0475819 | − | 0.998867i | −0.0158606 | − | 0.332956i | ||||
\(10\) | −3.90030 | + | 1.56144i | −1.23338 | + | 0.493772i | ||||
\(11\) | −0.0416810 | − | 0.436503i | −0.0125673 | − | 0.131611i | 0.987011 | − | 0.160653i | \(-0.0513601\pi\) |
−0.999578 | + | 0.0290428i | \(0.990754\pi\) | |||||||
\(12\) | 0.814576 | − | 0.580057i | 0.235148 | − | 0.167448i | ||||
\(13\) | −5.15578 | − | 0.741289i | −1.42995 | − | 0.205596i | −0.616560 | − | 0.787308i | \(-0.711474\pi\) |
−0.813395 | + | 0.581712i | \(0.802383\pi\) | |||||||
\(14\) | 0.131495 | − | 2.64248i | 0.0351434 | − | 0.706233i | ||||
\(15\) | −1.18363 | + | 4.03106i | −0.305611 | + | 1.04081i | ||||
\(16\) | 0.928368 | + | 0.371662i | 0.232092 | + | 0.0929156i | ||||
\(17\) | 2.13030 | − | 6.15511i | 0.516675 | − | 1.49283i | −0.321222 | − | 0.947004i | \(-0.604093\pi\) |
0.837896 | − | 0.545829i | \(-0.183785\pi\) | |||||||
\(18\) | 0.0475819 | − | 0.998867i | 0.0112152 | − | 0.235435i | ||||
\(19\) | −1.02791 | − | 2.96994i | −0.235818 | − | 0.681351i | −0.999366 | − | 0.0356003i | \(-0.988666\pi\) |
0.763548 | − | 0.645751i | \(-0.223456\pi\) | |||||||
\(20\) | −4.03106 | + | 1.18363i | −0.901372 | + | 0.264667i | ||||
\(21\) | −1.99585 | − | 1.73684i | −0.435529 | − | 0.379009i | ||||
\(22\) | − | 0.438489i | − | 0.0934861i | ||||||
\(23\) | 2.62699 | − | 4.01234i | 0.547766 | − | 0.836631i | ||||
\(24\) | 0.866025 | − | 0.500000i | 0.176777 | − | 0.102062i | ||||
\(25\) | 7.33795 | − | 10.3047i | 1.46759 | − | 2.06094i | ||||
\(26\) | −5.06197 | − | 1.22802i | −0.992733 | − | 0.240834i | ||||
\(27\) | −0.755750 | − | 0.654861i | −0.145444 | − | 0.126028i | ||||
\(28\) | 0.382083 | − | 2.61802i | 0.0722069 | − | 0.494759i | ||||
\(29\) | 0.692201 | + | 0.798842i | 0.128538 | + | 0.148341i | 0.816370 | − | 0.577529i | \(-0.195983\pi\) |
−0.687832 | + | 0.725870i | \(0.741437\pi\) | |||||||
\(30\) | −1.56144 | + | 3.90030i | −0.285079 | + | 0.712093i | ||||
\(31\) | −7.28269 | + | 1.76676i | −1.30801 | + | 0.317320i | −0.828387 | − | 0.560156i | \(-0.810741\pi\) |
−0.479622 | + | 0.877475i | \(0.659226\pi\) | |||||||
\(32\) | 0.888835 | + | 0.458227i | 0.157125 | + | 0.0810038i | ||||
\(33\) | −0.344675 | − | 0.271056i | −0.0600003 | − | 0.0471847i | ||||
\(34\) | 2.70574 | − | 5.92474i | 0.464030 | − | 1.01608i | ||||
\(35\) | 5.53729 | + | 9.63801i | 0.935972 | + | 1.62912i | ||||
\(36\) | 0.142315 | − | 0.989821i | 0.0237191 | − | 0.164970i | ||||
\(37\) | −4.90226 | + | 0.233523i | −0.805926 | + | 0.0383910i | −0.446501 | − | 0.894783i | \(-0.647330\pi\) |
−0.359425 | + | 0.933174i | \(0.617027\pi\) | |||||||
\(38\) | −0.740941 | − | 3.05420i | −0.120197 | − | 0.495457i | ||||
\(39\) | −4.09439 | + | 3.21986i | −0.655627 | + | 0.515591i | ||||
\(40\) | −4.12532 | + | 0.795090i | −0.652270 | + | 0.125715i | ||||
\(41\) | −2.23752 | + | 3.48164i | −0.349441 | + | 0.543741i | −0.970832 | − | 0.239759i | \(-0.922931\pi\) |
0.621391 | + | 0.783501i | \(0.286568\pi\) | |||||||
\(42\) | −1.82171 | − | 1.91869i | −0.281096 | − | 0.296060i | ||||
\(43\) | −1.00638 | − | 3.42742i | −0.153472 | − | 0.522677i | 0.846481 | − | 0.532419i | \(-0.178717\pi\) |
−0.999953 | + | 0.00974258i | \(0.996899\pi\) | |||||||
\(44\) | 0.0416810 | − | 0.436503i | 0.00628365 | − | 0.0658053i | ||||
\(45\) | 2.10062 | + | 3.63838i | 0.313142 | + | 0.542378i | ||||
\(46\) | 2.99650 | − | 3.74446i | 0.441809 | − | 0.552091i | ||||
\(47\) | −0.629788 | − | 0.363608i | −0.0918640 | − | 0.0530377i | 0.453364 | − | 0.891325i | \(-0.350224\pi\) |
−0.545228 | + | 0.838288i | \(0.683557\pi\) | |||||||
\(48\) | 0.909632 | − | 0.415415i | 0.131294 | − | 0.0599600i | ||||
\(49\) | −6.97106 | + | 0.635829i | −0.995866 | + | 0.0908327i | ||||
\(50\) | 8.28425 | − | 9.56054i | 1.17157 | − | 1.35206i | ||||
\(51\) | −2.98458 | − | 5.78929i | −0.417925 | − | 0.810662i | ||||
\(52\) | −4.92231 | − | 1.70363i | −0.682602 | − | 0.236251i | ||||
\(53\) | 4.29732 | + | 5.46449i | 0.590282 | + | 0.750605i | 0.985813 | − | 0.167848i | \(-0.0536818\pi\) |
−0.395531 | + | 0.918453i | \(0.629439\pi\) | |||||||
\(54\) | −0.690079 | − | 0.723734i | −0.0939079 | − | 0.0984877i | ||||
\(55\) | 0.995966 | + | 1.54975i | 0.134296 | + | 0.208969i | ||||
\(56\) | 0.629211 | − | 2.56984i | 0.0840819 | − | 0.343410i | ||||
\(57\) | −2.85878 | − | 1.30556i | −0.378655 | − | 0.172926i | ||||
\(58\) | 0.613132 | + | 0.861023i | 0.0805081 | + | 0.113058i | ||||
\(59\) | 4.62592 | + | 11.5550i | 0.602243 | + | 1.50433i | 0.845286 | + | 0.534314i | \(0.179430\pi\) |
−0.243043 | + | 0.970016i | \(0.578146\pi\) | |||||||
\(60\) | −1.92512 | + | 3.73421i | −0.248532 | + | 0.482084i | ||||
\(61\) | 10.4092 | − | 9.92511i | 1.33276 | − | 1.27078i | 0.397140 | − | 0.917758i | \(-0.370003\pi\) |
0.935615 | − | 0.353021i | \(-0.114846\pi\) | |||||||
\(62\) | −7.41765 | + | 1.06650i | −0.942043 | + | 0.135445i | ||||
\(63\) | −2.63430 | + | 0.245908i | −0.331890 | + | 0.0309815i | ||||
\(64\) | 0.841254 | + | 0.540641i | 0.105157 | + | 0.0675801i | ||||
\(65\) | 20.6798 | − | 7.15735i | 2.56502 | − | 0.887760i | ||||
\(66\) | −0.317349 | − | 0.302592i | −0.0390630 | − | 0.0372465i | ||||
\(67\) | −9.78229 | − | 6.96594i | −1.19510 | − | 0.851024i | −0.203333 | − | 0.979110i | \(-0.565178\pi\) |
−0.991763 | + | 0.128085i | \(0.959117\pi\) | |||||||
\(68\) | 3.25667 | − | 5.64072i | 0.394929 | − | 0.684037i | ||||
\(69\) | −1.09104 | − | 4.67008i | −0.131345 | − | 0.562211i | ||||
\(70\) | 4.59606 | + | 10.1207i | 0.549335 | + | 1.20966i | ||||
\(71\) | 6.16686 | + | 13.5035i | 0.731872 | + | 1.60258i | 0.796480 | + | 0.604664i | \(0.206693\pi\) |
−0.0646089 | + | 0.997911i | \(0.520580\pi\) | |||||||
\(72\) | 0.235759 | − | 0.971812i | 0.0277845 | − | 0.114529i | ||||
\(73\) | 0.866496 | − | 4.49581i | 0.101416 | − | 0.526195i | −0.895317 | − | 0.445429i | \(-0.853051\pi\) |
0.996733 | − | 0.0807658i | \(-0.0257366\pi\) | |||||||
\(74\) | −4.90226 | − | 0.233523i | −0.569876 | − | 0.0271465i | ||||
\(75\) | −2.39410 | − | 12.4218i | −0.276447 | − | 1.43435i | ||||
\(76\) | −0.447266 | − | 3.11080i | −0.0513049 | − | 0.356834i | ||||
\(77\) | −1.14867 | + | 0.162668i | −0.130903 | + | 0.0185378i | ||||
\(78\) | −4.38192 | + | 2.81609i | −0.496154 | + | 0.318859i | ||||
\(79\) | −5.75888 | + | 7.32301i | −0.647924 | + | 0.823903i | −0.993421 | − | 0.114517i | \(-0.963468\pi\) |
0.345497 | + | 0.938420i | \(0.387710\pi\) | |||||||
\(80\) | −4.18221 | + | 0.399353i | −0.467586 | + | 0.0446490i | ||||
\(81\) | −0.995472 | + | 0.0950560i | −0.110608 | + | 0.0105618i | ||||
\(82\) | −2.55834 | + | 3.25319i | −0.282521 | + | 0.359255i | ||||
\(83\) | −4.57223 | + | 2.93839i | −0.501867 | + | 0.322530i | −0.766963 | − | 0.641692i | \(-0.778233\pi\) |
0.265096 | + | 0.964222i | \(0.414596\pi\) | |||||||
\(84\) | −1.63108 | − | 2.08316i | −0.177965 | − | 0.227292i | ||||
\(85\) | 3.89432 | + | 27.0856i | 0.422398 | + | 2.93784i | ||||
\(86\) | −0.676027 | − | 3.50756i | −0.0728979 | − | 0.378230i | ||||
\(87\) | 1.05582 | + | 0.0502950i | 0.113196 | + | 0.00539219i | ||||
\(88\) | 0.0829845 | − | 0.430565i | 0.00884618 | − | 0.0458983i | ||||
\(89\) | 3.99282 | − | 16.4586i | 0.423238 | − | 1.74461i | −0.216753 | − | 0.976227i | \(-0.569546\pi\) |
0.639990 | − | 0.768383i | \(-0.278938\pi\) | |||||||
\(90\) | 1.74526 | + | 3.82158i | 0.183966 | + | 0.402830i | ||||
\(91\) | −1.33908 | + | 13.7160i | −0.140373 | + | 1.43782i | ||||
\(92\) | 3.33886 | − | 3.44267i | 0.348100 | − | 0.358923i | ||||
\(93\) | −3.74696 | + | 6.48993i | −0.388542 | + | 0.672975i | ||||
\(94\) | −0.592373 | − | 0.421827i | −0.0610986 | − | 0.0435081i | ||||
\(95\) | 9.55591 | + | 9.11154i | 0.980415 | + | 0.934824i | ||||
\(96\) | 0.945001 | − | 0.327068i | 0.0964487 | − | 0.0333812i | ||||
\(97\) | −0.135124 | − | 0.0868386i | −0.0137197 | − | 0.00881713i | 0.533763 | − | 0.845634i | \(-0.320777\pi\) |
−0.547483 | + | 0.836817i | \(0.684414\pi\) | |||||||
\(98\) | −6.99994 | − | 0.0296918i | −0.707100 | − | 0.00299933i | ||||
\(99\) | −0.434025 | + | 0.0624034i | −0.0436212 | + | 0.00627178i | ||||
\(100\) | 9.15553 | − | 8.72978i | 0.915553 | − | 0.872978i | ||||
\(101\) | −0.128901 | + | 0.250034i | −0.0128262 | + | 0.0248793i | −0.895161 | − | 0.445742i | \(-0.852940\pi\) |
0.882335 | + | 0.470621i | \(0.155970\pi\) | |||||||
\(102\) | −2.42076 | − | 6.04677i | −0.239691 | − | 0.598720i | ||||
\(103\) | 2.88585 | + | 4.05261i | 0.284352 | + | 0.399316i | 0.931904 | − | 0.362705i | \(-0.118147\pi\) |
−0.647552 | + | 0.762021i | \(0.724207\pi\) | |||||||
\(104\) | −4.73809 | − | 2.16381i | −0.464607 | − | 0.212179i | ||||
\(105\) | 10.7965 | + | 2.64347i | 1.05363 | + | 0.257976i | ||||
\(106\) | 3.75843 | + | 5.84823i | 0.365051 | + | 0.568030i | ||||
\(107\) | −9.97964 | − | 10.4663i | −0.964768 | − | 1.01182i | −0.999923 | − | 0.0124374i | \(-0.996041\pi\) |
0.0351549 | − | 0.999382i | \(-0.488808\pi\) | |||||||
\(108\) | −0.618159 | − | 0.786053i | −0.0594824 | − | 0.0756380i | ||||
\(109\) | 3.53524 | + | 1.22356i | 0.338615 | + | 0.117196i | 0.491083 | − | 0.871113i | \(-0.336601\pi\) |
−0.152468 | + | 0.988308i | \(0.548722\pi\) | |||||||
\(110\) | 0.844143 | + | 1.63741i | 0.0804859 | + | 0.156121i | ||||
\(111\) | −3.21394 | + | 3.70908i | −0.305053 | + | 0.352050i | ||||
\(112\) | 0.870641 | − | 2.49840i | 0.0822679 | − | 0.236076i | ||||
\(113\) | 2.96217 | − | 1.35278i | 0.278657 | − | 0.127259i | −0.271184 | − | 0.962527i | \(-0.587415\pi\) |
0.549842 | + | 0.835269i | \(0.314688\pi\) | |||||||
\(114\) | −2.72174 | − | 1.57140i | −0.254914 | − | 0.147175i | ||||
\(115\) | −2.08551 | + | 20.0402i | −0.194475 | + | 1.86876i | ||||
\(116\) | 0.528510 | + | 0.915406i | 0.0490709 | + | 0.0849933i | ||||
\(117\) | −0.495127 | + | 5.18521i | −0.0457745 | + | 0.479373i | ||||
\(118\) | 3.50660 | + | 11.9424i | 0.322809 | + | 1.09938i | ||||
\(119\) | −16.5243 | − | 4.89006i | −1.51478 | − | 0.448271i | ||||
\(120\) | −2.27136 | + | 3.53431i | −0.207346 | + | 0.322637i | ||||
\(121\) | 10.6124 | − | 2.04538i | 0.964765 | − | 0.185943i | ||||
\(122\) | 11.3055 | − | 8.89071i | 1.02355 | − | 0.804927i | ||||
\(123\) | 0.975721 | + | 4.02198i | 0.0879778 | + | 0.362649i | ||||
\(124\) | −7.48544 | + | 0.356576i | −0.672213 | + | 0.0320214i | ||||
\(125\) | −4.57417 | + | 31.8140i | −0.409126 | + | 2.84553i | ||||
\(126\) | −2.64575 | − | 0.00561124i | −0.235702 | − | 0.000499889i | ||||
\(127\) | 4.20985 | − | 9.21828i | 0.373564 | − | 0.817990i | −0.625717 | − | 0.780051i | \(-0.715193\pi\) |
0.999280 | − | 0.0379395i | \(-0.0120794\pi\) | |||||||
\(128\) | 0.786053 | + | 0.618159i | 0.0694779 | + | 0.0546381i | ||||
\(129\) | −3.17502 | − | 1.63684i | −0.279545 | − | 0.144116i | ||||
\(130\) | 21.2665 | − | 5.15920i | 1.86520 | − | 0.452492i | ||||
\(131\) | −2.72423 | + | 6.80481i | −0.238017 | + | 0.594539i | −0.998496 | − | 0.0548242i | \(-0.982540\pi\) |
0.760479 | + | 0.649363i | \(0.224964\pi\) | |||||||
\(132\) | −0.287149 | − | 0.331388i | −0.0249931 | − | 0.0288436i | ||||
\(133\) | −7.72596 | + | 3.07401i | −0.669926 | + | 0.266551i | ||||
\(134\) | −9.07584 | − | 7.86426i | −0.784033 | − | 0.679368i | ||||
\(135\) | 4.08281 | + | 0.990479i | 0.351393 | + | 0.0852469i | ||||
\(136\) | 3.77811 | − | 5.30561i | 0.323970 | − | 0.454952i | ||||
\(137\) | 7.58877 | − | 4.38138i | 0.648353 | − | 0.374327i | −0.139472 | − | 0.990226i | \(-0.544541\pi\) |
0.787825 | + | 0.615899i | \(0.211207\pi\) | |||||||
\(138\) | −0.642176 | − | 4.75264i | −0.0546657 | − | 0.404572i | ||||
\(139\) | − | 1.19812i | − | 0.101623i | −0.998708 | − | 0.0508116i | \(-0.983819\pi\) | ||
0.998708 | − | 0.0508116i | \(-0.0161808\pi\) | |||||||
\(140\) | 3.61322 | + | 10.5118i | 0.305372 | + | 0.888407i | ||||
\(141\) | −0.697759 | + | 0.204881i | −0.0587619 | + | 0.0172541i | ||||
\(142\) | 4.85534 | + | 14.0286i | 0.407451 | + | 1.17725i | ||||
\(143\) | −0.108677 | + | 2.28141i | −0.00908802 | + | 0.190781i | ||||
\(144\) | 0.327068 | − | 0.945001i | 0.0272557 | − | 0.0787501i | ||||
\(145\) | −4.12269 | − | 1.65048i | −0.342371 | − | 0.137065i | ||||
\(146\) | 1.28993 | − | 4.39308i | 0.106755 | − | 0.363574i | ||||
\(147\) | −4.35041 | + | 5.48397i | −0.358816 | + | 0.452310i | ||||
\(148\) | −4.85786 | − | 0.698455i | −0.399314 | − | 0.0574127i | ||||
\(149\) | −17.0847 | + | 12.1660i | −1.39963 | + | 0.996675i | −0.402958 | + | 0.915218i | \(0.632018\pi\) |
−0.996677 | + | 0.0814570i | \(0.974043\pi\) | |||||||
\(150\) | −1.20250 | − | 12.5931i | −0.0981835 | − | 1.02822i | ||||
\(151\) | 2.61523 | − | 1.04698i | 0.212824 | − | 0.0852020i | −0.262801 | − | 0.964850i | \(-0.584646\pi\) |
0.475625 | + | 0.879648i | \(0.342222\pi\) | |||||||
\(152\) | −0.149540 | − | 3.13923i | −0.0121293 | − | 0.254625i | ||||
\(153\) | −6.24950 | − | 1.83502i | −0.505242 | − | 0.148353i | ||||
\(154\) | −1.15893 | + | 0.0527435i | −0.0933894 | + | 0.00425019i | ||||
\(155\) | 23.7939 | − | 20.6175i | 1.91117 | − | 1.65604i | ||||
\(156\) | −4.62976 | + | 2.38681i | −0.370677 | + | 0.191098i | ||||
\(157\) | 8.50957 | + | 1.64009i | 0.679138 | + | 0.130893i | 0.517144 | − | 0.855899i | \(-0.326995\pi\) |
0.161994 | + | 0.986792i | \(0.448207\pi\) | |||||||
\(158\) | −6.42890 | + | 6.74243i | −0.511456 | + | 0.536399i | ||||
\(159\) | 6.92032 | + | 0.660811i | 0.548817 | + | 0.0524057i | ||||
\(160\) | −4.20124 | −0.332137 | ||||||||
\(161\) | −10.9207 | − | 6.46056i | −0.860670 | − | 0.509164i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 7.37006 | + | 0.703755i | 0.577268 | + | 0.0551224i | 0.379607 | − | 0.925148i | \(-0.376059\pi\) |
0.197661 | + | 0.980270i | \(0.436665\pi\) | |||||||
\(164\) | −2.85599 | + | 2.99527i | −0.223015 | + | 0.233891i | ||||
\(165\) | 1.80890 | + | 0.348638i | 0.140823 | + | 0.0271414i | ||||
\(166\) | −4.83083 | + | 2.49047i | −0.374945 | + | 0.193298i | ||||
\(167\) | 13.7966 | − | 11.9548i | 1.06761 | − | 0.925093i | 0.0702415 | − | 0.997530i | \(-0.477623\pi\) |
0.997373 | + | 0.0724368i | \(0.0230776\pi\) | |||||||
\(168\) | −1.42568 | − | 2.22878i | −0.109993 | − | 0.171954i | ||||
\(169\) | 13.5591 | + | 3.98131i | 1.04301 | + | 0.306255i | ||||
\(170\) | 1.30204 | + | 27.3331i | 0.0998616 | + | 2.09635i | ||||
\(171\) | −2.91767 | + | 1.16806i | −0.223120 | + | 0.0893236i | ||||
\(172\) | −0.339551 | − | 3.55594i | −0.0258905 | − | 0.271138i | ||||
\(173\) | 4.78083 | − | 3.40441i | 0.363480 | − | 0.258833i | −0.383696 | − | 0.923460i | \(-0.625349\pi\) |
0.747175 | + | 0.664627i | \(0.231409\pi\) | |||||||
\(174\) | 1.04626 | + | 0.150430i | 0.0793168 | + | 0.0114040i | ||||
\(175\) | −28.1182 | − | 18.1548i | −2.12553 | − | 1.37238i | ||||
\(176\) | 0.123537 | − | 0.420727i | 0.00931192 | − | 0.0317135i | ||||
\(177\) | 11.5550 | + | 4.62592i | 0.868525 | + | 0.347705i | ||||
\(178\) | 5.53923 | − | 16.0045i | 0.415183 | − | 1.19959i | ||||
\(179\) | 0.0930979 | − | 1.95437i | 0.00695847 | − | 0.146076i | −0.992714 | − | 0.120493i | \(-0.961553\pi\) |
0.999673 | − | 0.0255835i | \(-0.00814438\pi\) | |||||||
\(180\) | 1.37409 | + | 3.97017i | 0.102419 | + | 0.295919i | ||||
\(181\) | −11.2254 | + | 3.29608i | −0.834378 | + | 0.244995i | −0.670896 | − | 0.741551i | \(-0.734090\pi\) |
−0.163481 | + | 0.986546i | \(0.552272\pi\) | |||||||
\(182\) | −2.63680 | + | 13.5266i | −0.195452 | + | 1.00266i | ||||
\(183\) | − | 14.3826i | − | 1.06319i | ||||||
\(184\) | 3.65099 | − | 3.10971i | 0.269155 | − | 0.229251i | ||||
\(185\) | 17.8565 | − | 10.3095i | 1.31284 | − | 0.757966i | ||||
\(186\) | −4.34691 | + | 6.10437i | −0.318731 | + | 0.447594i | ||||
\(187\) | −2.77552 | − | 0.673333i | −0.202966 | − | 0.0492390i | ||||
\(188\) | −0.549594 | − | 0.476226i | −0.0400832 | − | 0.0347323i | ||||
\(189\) | −1.63990 | + | 2.07623i | −0.119285 | + | 0.151023i | ||||
\(190\) | 8.64653 | + | 9.97863i | 0.627285 | + | 0.723926i | ||||
\(191\) | 8.59409 | − | 21.4670i | 0.621846 | − | 1.55330i | −0.197687 | − | 0.980265i | \(-0.563343\pi\) |
0.819533 | − | 0.573032i | \(-0.194233\pi\) | |||||||
\(192\) | 0.971812 | − | 0.235759i | 0.0701345 | − | 0.0170144i | ||||
\(193\) | −2.75711 | − | 1.42139i | −0.198461 | − | 0.102314i | 0.356131 | − | 0.934436i | \(-0.384096\pi\) |
−0.554593 | + | 0.832122i | \(0.687126\pi\) | |||||||
\(194\) | −0.126257 | − | 0.0992897i | −0.00906474 | − | 0.00712859i | ||||
\(195\) | 9.09069 | − | 19.9058i | 0.650998 | − | 1.42549i | ||||
\(196\) | −6.96542 | − | 0.694944i | −0.497530 | − | 0.0496388i | ||||
\(197\) | 0.153948 | − | 1.07073i | 0.0109683 | − | 0.0762864i | −0.983602 | − | 0.180352i | \(-0.942276\pi\) |
0.994570 | + | 0.104066i | \(0.0331853\pi\) | |||||||
\(198\) | −0.437992 | + | 0.0208641i | −0.0311267 | + | 0.00148275i | ||||
\(199\) | −2.47872 | − | 10.2174i | −0.175712 | − | 0.724295i | −0.989669 | − | 0.143370i | \(-0.954206\pi\) |
0.813957 | − | 0.580925i | \(-0.197309\pi\) | |||||||
\(200\) | 9.94389 | − | 7.81996i | 0.703139 | − | 0.552955i | ||||
\(201\) | −11.7920 | + | 2.27273i | −0.831746 | + | 0.160306i | ||||
\(202\) | −0.152085 | + | 0.236649i | −0.0107006 | + | 0.0166505i | ||||
\(203\) | 2.02809 | − | 1.92559i | 0.142344 | − | 0.135150i | ||||
\(204\) | −1.83502 | − | 6.24950i | −0.128477 | − | 0.437553i | ||||
\(205\) | 1.65278 | − | 17.3087i | 0.115435 | − | 1.20889i | ||||
\(206\) | 2.48756 | + | 4.30858i | 0.173317 | + | 0.300193i | ||||
\(207\) | −4.13280 | − | 2.43310i | −0.287249 | − | 0.169112i | ||||
\(208\) | −4.51095 | − | 2.60440i | −0.312778 | − | 0.180582i | ||||
\(209\) | −1.25354 | + | 0.572474i | −0.0867095 | + | 0.0395989i | ||||
\(210\) | 10.4964 | + | 3.65777i | 0.724318 | + | 0.252410i | ||||
\(211\) | 12.2065 | − | 14.0870i | 0.840328 | − | 0.969790i | −0.159521 | − | 0.987195i | \(-0.550995\pi\) |
0.999849 | + | 0.0174046i | \(0.00554034\pi\) | |||||||
\(212\) | 3.18550 | + | 6.17901i | 0.218781 | + | 0.424376i | ||||
\(213\) | 14.0286 | + | 4.85534i | 0.961223 | + | 0.332683i | ||||
\(214\) | −8.93956 | − | 11.3676i | −0.611096 | − | 0.777071i | ||||
\(215\) | 10.3562 | + | 10.8613i | 0.706289 | + | 0.740735i | ||||
\(216\) | −0.540641 | − | 0.841254i | −0.0367859 | − | 0.0572401i | ||||
\(217\) | 5.54557 | + | 19.0357i | 0.376458 | + | 1.29223i | ||||
\(218\) | 3.40293 | + | 1.55407i | 0.230475 | + | 0.105255i | ||||
\(219\) | −2.65582 | − | 3.72958i | −0.179464 | − | 0.252021i | ||||
\(220\) | 0.684675 | + | 1.71024i | 0.0461608 | + | 0.115304i | ||||
\(221\) | −15.5461 | + | 30.1552i | −1.04574 | + | 2.02846i | ||||
\(222\) | −3.55196 | + | 3.38678i | −0.238392 | + | 0.227306i | ||||
\(223\) | −9.40103 | + | 1.35166i | −0.629540 | + | 0.0905141i | −0.449697 | − | 0.893181i | \(-0.648468\pi\) |
−0.179843 | + | 0.983695i | \(0.557559\pi\) | |||||||
\(224\) | 1.10419 | − | 2.40432i | 0.0737766 | − | 0.160646i | ||||
\(225\) | −10.6422 | − | 6.83932i | −0.709480 | − | 0.455955i | ||||
\(226\) | 3.07735 | − | 1.06508i | 0.204702 | − | 0.0708480i | ||||
\(227\) | 7.07800 | + | 6.74886i | 0.469783 | + | 0.447937i | 0.887614 | − | 0.460587i | \(-0.152361\pi\) |
−0.417831 | + | 0.908525i | \(0.637210\pi\) | |||||||
\(228\) | −2.56004 | − | 1.82300i | −0.169543 | − | 0.120731i | ||||
\(229\) | −0.825961 | + | 1.43061i | −0.0545810 | + | 0.0945371i | −0.892025 | − | 0.451986i | \(-0.850716\pi\) |
0.837444 | + | 0.546523i | \(0.184049\pi\) | |||||||
\(230\) | −3.98101 | + | 19.7512i | −0.262500 | + | 1.30236i | ||||
\(231\) | −0.674945 | + | 0.943586i | −0.0444081 | + | 0.0620834i | ||||
\(232\) | 0.439102 | + | 0.961499i | 0.0288284 | + | 0.0631255i | ||||
\(233\) | 2.21715 | − | 9.13921i | 0.145250 | − | 0.598729i | −0.851928 | − | 0.523659i | \(-0.824567\pi\) |
0.997178 | − | 0.0750705i | \(-0.0239182\pi\) | |||||||
\(234\) | −0.985771 | + | 5.11466i | −0.0644418 | + | 0.334356i | ||||
\(235\) | 3.05175 | + | 0.145373i | 0.199074 | + | 0.00948307i | ||||
\(236\) | 2.35552 | + | 12.2216i | 0.153332 | + | 0.795560i | ||||
\(237\) | 1.32583 | + | 9.22135i | 0.0861219 | + | 0.598991i | ||||
\(238\) | −15.9846 | − | 6.43865i | −1.03613 | − | 0.417356i | ||||
\(239\) | −11.7072 | + | 7.52377i | −0.757276 | + | 0.486672i | −0.861422 | − | 0.507890i | \(-0.830426\pi\) |
0.104145 | + | 0.994562i | \(0.466789\pi\) | |||||||
\(240\) | −2.59703 | + | 3.30240i | −0.167638 | + | 0.213169i | ||||
\(241\) | 4.53925 | − | 0.433445i | 0.292398 | − | 0.0279207i | 0.0521739 | − | 0.998638i | \(-0.483385\pi\) |
0.240225 | + | 0.970717i | \(0.422779\pi\) | |||||||
\(242\) | 10.7588 | − | 1.02734i | 0.691601 | − | 0.0660399i | ||||
\(243\) | −0.618159 | + | 0.786053i | −0.0396549 | + | 0.0504253i | ||||
\(244\) | 12.0994 | − | 7.77580i | 0.774584 | − | 0.497795i | ||||
\(245\) | 24.8074 | − | 15.7944i | 1.58488 | − | 1.00907i | ||||
\(246\) | 0.588989 | + | 4.09651i | 0.0375526 | + | 0.261184i | ||||
\(247\) | 3.09807 | + | 16.0743i | 0.197126 | + | 1.02278i | ||||
\(248\) | −7.48544 | − | 0.356576i | −0.475326 | − | 0.0226426i | ||||
\(249\) | −1.02858 | + | 5.33680i | −0.0651838 | + | 0.338206i | ||||
\(250\) | −7.57757 | + | 31.2352i | −0.479248 | + | 1.97549i | ||||
\(251\) | 10.8134 | + | 23.6781i | 0.682539 | + | 1.49455i | 0.859930 | + | 0.510411i | \(0.170507\pi\) |
−0.177392 | + | 0.984140i | \(0.556766\pi\) | |||||||
\(252\) | −2.63323 | − | 0.257080i | −0.165878 | − | 0.0161945i | ||||
\(253\) | −1.86090 | − | 0.979453i | −0.116994 | − | 0.0615777i | ||||
\(254\) | 5.06704 | − | 8.77637i | 0.317934 | − | 0.550678i | ||||
\(255\) | 22.2901 | + | 15.8727i | 1.39586 | + | 0.993989i | ||||
\(256\) | 0.723734 | + | 0.690079i | 0.0452334 | + | 0.0431299i | ||||
\(257\) | −14.2945 | + | 4.94738i | −0.891668 | + | 0.308609i | −0.734215 | − | 0.678917i | \(-0.762450\pi\) |
−0.157453 | + | 0.987526i | \(0.550328\pi\) | |||||||
\(258\) | −3.00505 | − | 1.93123i | −0.187087 | − | 0.120233i | ||||
\(259\) | 1.20687 | + | 12.9287i | 0.0749914 | + | 0.803348i | ||||
\(260\) | 21.6606 | − | 3.11433i | 1.34334 | − | 0.193143i | ||||
\(261\) | 0.765001 | − | 0.729427i | 0.0473524 | − | 0.0451504i | ||||
\(262\) | −3.35874 | + | 6.51504i | −0.207503 | + | 0.402501i | ||||
\(263\) | −1.79976 | − | 4.49558i | −0.110978 | − | 0.277209i | 0.862474 | − | 0.506102i | \(-0.168914\pi\) |
−0.973452 | + | 0.228892i | \(0.926490\pi\) | |||||||
\(264\) | −0.254348 | − | 0.357182i | −0.0156541 | − | 0.0219831i | ||||
\(265\) | −26.5669 | − | 12.1327i | −1.63199 | − | 0.745305i | ||||
\(266\) | −7.98318 | + | 2.32569i | −0.489480 | + | 0.142597i | ||||
\(267\) | −9.15630 | − | 14.2475i | −0.560356 | − | 0.871932i | ||||
\(268\) | −8.28720 | − | 8.69136i | −0.506221 | − | 0.530909i | ||||
\(269\) | −0.0335472 | − | 0.0426587i | −0.00204541 | − | 0.00260095i | 0.785029 | − | 0.619459i | \(-0.212648\pi\) |
−0.787075 | + | 0.616858i | \(0.788405\pi\) | |||||||
\(270\) | 3.97017 | + | 1.37409i | 0.241617 | + | 0.0836245i | ||||
\(271\) | −3.24823 | − | 6.30069i | −0.197316 | − | 0.382740i | 0.769332 | − | 0.638850i | \(-0.220589\pi\) |
−0.966648 | + | 0.256110i | \(0.917559\pi\) | |||||||
\(272\) | 4.26533 | − | 4.92245i | 0.258624 | − | 0.298468i | ||||
\(273\) | 9.00264 | + | 10.4342i | 0.544865 | + | 0.631508i | ||||
\(274\) | 7.97089 | − | 3.64018i | 0.481539 | − | 0.219911i | ||||
\(275\) | −4.80389 | − | 2.77353i | −0.289686 | − | 0.167250i | ||||
\(276\) | −0.187501 | − | 4.79216i | −0.0112862 | − | 0.288454i | ||||
\(277\) | 15.3251 | + | 26.5439i | 0.920799 | + | 1.59487i | 0.798183 | + | 0.602416i | \(0.205795\pi\) |
0.122616 | + | 0.992454i | \(0.460872\pi\) | |||||||
\(278\) | 0.113889 | − | 1.19269i | 0.00683058 | − | 0.0715331i | ||||
\(279\) | 2.11128 | + | 7.19037i | 0.126399 | + | 0.430476i | ||||
\(280\) | 2.59765 | + | 10.8076i | 0.155239 | + | 0.645880i | ||||
\(281\) | 13.3224 | − | 20.7301i | 0.794749 | − | 1.23665i | −0.173047 | − | 0.984914i | \(-0.555361\pi\) |
0.967795 | − | 0.251739i | \(-0.0810025\pi\) | |||||||
\(282\) | −0.714075 | + | 0.137627i | −0.0425225 | + | 0.00819555i | ||||
\(283\) | 8.66793 | − | 6.81653i | 0.515255 | − | 0.405201i | −0.326388 | − | 0.945236i | \(-0.605831\pi\) |
0.841642 | + | 0.540035i | \(0.181589\pi\) | |||||||
\(284\) | 3.49985 | + | 14.4266i | 0.207678 | + | 0.856061i | ||||
\(285\) | 13.1887 | − | 0.628253i | 0.781229 | − | 0.0372145i | ||||
\(286\) | −0.325047 | + | 2.26075i | −0.0192204 | + | 0.133681i | ||||
\(287\) | 9.47118 | + | 5.49500i | 0.559066 | + | 0.324360i | ||||
\(288\) | 0.415415 | − | 0.909632i | 0.0244786 | − | 0.0536006i | ||||
\(289\) | −19.9843 | − | 15.7158i | −1.17555 | − | 0.924459i | ||||
\(290\) | −3.94713 | − | 2.03489i | −0.231784 | − | 0.119493i | ||||
\(291\) | −0.156094 | + | 0.0378680i | −0.00915039 | + | 0.00221986i | ||||
\(292\) | 1.70167 | − | 4.25058i | 0.0995830 | − | 0.248746i | ||||
\(293\) | −15.5838 | − | 17.9847i | −0.910415 | − | 1.05067i | −0.998510 | − | 0.0545629i | \(-0.982623\pi\) |
0.0880953 | − | 0.996112i | \(-0.471922\pi\) | |||||||
\(294\) | −4.85200 | + | 5.04560i | −0.282974 | + | 0.294266i | ||||
\(295\) | −39.5188 | − | 34.2433i | −2.30088 | − | 1.99372i | ||||
\(296\) | −4.76947 | − | 1.15706i | −0.277220 | − | 0.0672529i | ||||
\(297\) | −0.254348 | + | 0.357182i | −0.0147588 | + | 0.0207258i | ||||
\(298\) | −18.1638 | + | 10.4869i | −1.05220 | + | 0.607489i | ||||
\(299\) | −16.5185 | + | 18.7394i | −0.955289 | + | 1.08373i | ||||
\(300\) | − | 12.6504i | − | 0.730371i | ||||||
\(301\) | −8.93767 | + | 3.07215i | −0.515159 | + | 0.177076i | ||||
\(302\) | 2.70291 | − | 0.793645i | 0.155535 | − | 0.0456692i | ||||
\(303\) | 0.0920058 | + | 0.265833i | 0.00528559 | + | 0.0152717i | ||||
\(304\) | 0.149540 | − | 3.13923i | 0.00857671 | − | 0.180047i | ||||
\(305\) | −19.7629 | + | 57.1013i | −1.13162 | + | 3.26961i | ||||
\(306\) | −6.04677 | − | 2.42076i | −0.345671 | − | 0.138386i | ||||
\(307\) | 4.10360 | − | 13.9756i | 0.234205 | − | 0.797628i | −0.755580 | − | 0.655057i | \(-0.772645\pi\) |
0.989785 | − | 0.142571i | \(-0.0455370\pi\) | |||||||
\(308\) | −1.15870 | − | 0.0576589i | −0.0660230 | − | 0.00328542i | ||||
\(309\) | 4.92448 | + | 0.708034i | 0.280144 | + | 0.0402786i | ||||
\(310\) | 25.6459 | − | 18.2624i | 1.45659 | − | 1.03723i | ||||
\(311\) | 0.245993 | + | 2.57616i | 0.0139490 | + | 0.146081i | 0.999763 | − | 0.0217595i | \(-0.00692681\pi\) |
−0.985814 | + | 0.167840i | \(0.946321\pi\) | |||||||
\(312\) | −4.83568 | + | 1.93591i | −0.273766 | + | 0.109599i | ||||
\(313\) | 1.28575 | + | 26.9913i | 0.0726751 | + | 1.52564i | 0.681196 | + | 0.732101i | \(0.261460\pi\) |
−0.608521 | + | 0.793538i | \(0.708237\pi\) | |||||||
\(314\) | 8.31514 | + | 2.44155i | 0.469250 | + | 0.137784i | ||||
\(315\) | 9.36362 | − | 5.98961i | 0.527580 | − | 0.337476i | ||||
\(316\) | −7.04070 | + | 6.10080i | −0.396070 | + | 0.343197i | ||||
\(317\) | 14.2513 | − | 7.34706i | 0.800433 | − | 0.412652i | −0.00893011 | − | 0.999960i | \(-0.502843\pi\) |
0.809364 | + | 0.587308i | \(0.199812\pi\) | |||||||
\(318\) | 6.82617 | + | 1.31564i | 0.382793 | + | 0.0737773i | ||||
\(319\) | 0.319845 | − | 0.335444i | 0.0179079 | − | 0.0187813i | ||||
\(320\) | −4.18221 | − | 0.399353i | −0.233793 | − | 0.0223245i | ||||
\(321\) | −14.4616 | −0.807167 | ||||||||
\(322\) | −10.2571 | − | 7.46939i | −0.571606 | − | 0.416253i | ||||
\(323\) | −20.4701 | −1.13898 | ||||||||
\(324\) | −0.995472 | − | 0.0950560i | −0.0553040 | − | 0.00528089i | ||||
\(325\) | −45.4716 | + | 47.6893i | −2.52231 | + | 2.64532i | ||||
\(326\) | 7.26979 | + | 1.40114i | 0.402637 | + | 0.0776018i | ||||
\(327\) | 3.32513 | − | 1.71422i | 0.183880 | − | 0.0947967i | ||||
\(328\) | −3.12777 | + | 2.71023i | −0.172702 | + | 0.149647i | ||||
\(329\) | −0.885268 | + | 1.70828i | −0.0488064 | + | 0.0941803i | ||||
\(330\) | 1.76757 | + | 0.519006i | 0.0973017 | + | 0.0285704i | ||||
\(331\) | 0.0987639 | + | 2.07331i | 0.00542855 | + | 0.113959i | 0.999955 | + | 0.00947524i | \(0.00301611\pi\) |
−0.994527 | + | 0.104484i | \(0.966681\pi\) | |||||||
\(332\) | −5.04569 | + | 2.01999i | −0.276918 | + | 0.110861i | ||||
\(333\) | 0.466518 | + | 4.88560i | 0.0255650 | + | 0.267729i | ||||
\(334\) | 14.8705 | − | 10.5893i | 0.813679 | − | 0.579418i | ||||
\(335\) | 49.9394 | + | 7.18020i | 2.72848 | + | 0.392296i | ||||
\(336\) | −1.20736 | − | 2.35420i | −0.0658671 | − | 0.128432i | ||||
\(337\) | −2.26286 | + | 7.70660i | −0.123266 | + | 0.419805i | −0.997885 | − | 0.0650057i | \(-0.979293\pi\) |
0.874619 | + | 0.484811i | \(0.161112\pi\) | |||||||
\(338\) | 13.1193 | + | 5.25216i | 0.713594 | + | 0.285680i | ||||
\(339\) | 1.06508 | − | 3.07735i | 0.0578472 | − | 0.167138i | ||||
\(340\) | −1.30204 | + | 27.3331i | −0.0706128 | + | 1.48235i | ||||
\(341\) | 1.07475 | + | 3.10528i | 0.0582008 | + | 0.168160i | ||||
\(342\) | −3.01549 | + | 0.885427i | −0.163059 | + | 0.0478784i | ||||
\(343\) | 2.51902 | + | 18.3481i | 0.136014 | + | 0.990707i | ||||
\(344\) | − | 3.57212i | − | 0.192596i | ||||||
\(345\) | 13.0646 | + | 15.3387i | 0.703375 | + | 0.825807i | ||||
\(346\) | 5.08279 | − | 2.93455i | 0.273252 | − | 0.157762i | ||||
\(347\) | 3.79685 | − | 5.33193i | 0.203826 | − | 0.286233i | −0.699992 | − | 0.714150i | \(-0.746813\pi\) |
0.903818 | + | 0.427918i | \(0.140753\pi\) | |||||||
\(348\) | 1.02722 | + | 0.249202i | 0.0550650 | + | 0.0133586i | ||||
\(349\) | 8.23359 | + | 7.13445i | 0.440734 | + | 0.381898i | 0.846770 | − | 0.531959i | \(-0.178544\pi\) |
−0.406036 | + | 0.913857i | \(0.633089\pi\) | |||||||
\(350\) | −26.2651 | − | 20.7454i | −1.40393 | − | 1.10889i | ||||
\(351\) | 3.41103 | + | 3.93654i | 0.182068 | + | 0.210117i | ||||
\(352\) | 0.162970 | − | 0.407079i | 0.00868632 | − | 0.0216974i | ||||
\(353\) | −19.6767 | + | 4.77352i | −1.04729 | + | 0.254069i | −0.722250 | − | 0.691632i | \(-0.756892\pi\) |
−0.325037 | + | 0.945701i | \(0.605377\pi\) | |||||||
\(354\) | 11.0629 | + | 5.70334i | 0.587988 | + | 0.303129i | ||||
\(355\) | −49.0243 | − | 38.5531i | −2.60194 | − | 2.04619i | ||||
\(356\) | 7.03547 | − | 15.4055i | 0.372879 | − | 0.816492i | ||||
\(357\) | −14.9422 | + | 8.58467i | −0.790824 | + | 0.454349i | ||||
\(358\) | 0.278451 | − | 1.93667i | 0.0147166 | − | 0.102356i | ||||
\(359\) | 20.3140 | − | 0.967677i | 1.07213 | − | 0.0510720i | 0.495918 | − | 0.868369i | \(-0.334832\pi\) |
0.576216 | + | 0.817297i | \(0.304529\pi\) | |||||||
\(360\) | 0.990479 | + | 4.08281i | 0.0522029 | + | 0.215183i | ||||
\(361\) | 7.17105 | − | 5.63938i | 0.377424 | − | 0.296809i | ||||
\(362\) | −11.4879 | + | 2.21411i | −0.603790 | + | 0.116371i | ||||
\(363\) | 5.84310 | − | 9.09204i | 0.306683 | − | 0.477208i | ||||
\(364\) | −3.91064 | + | 13.2147i | −0.204973 | + | 0.692637i | ||||
\(365\) | 5.41929 | + | 18.4564i | 0.283658 | + | 0.966052i | ||||
\(366\) | 1.36715 | − | 14.3174i | 0.0714621 | − | 0.748384i | ||||
\(367\) | −8.95180 | − | 15.5050i | −0.467280 | − | 0.809353i | 0.532021 | − | 0.846731i | \(-0.321433\pi\) |
−0.999301 | + | 0.0373783i | \(0.988099\pi\) | |||||||
\(368\) | 3.93005 | − | 2.74858i | 0.204868 | − | 0.143279i | ||||
\(369\) | 3.58416 | + | 2.06932i | 0.186584 | + | 0.107724i | ||||
\(370\) | 18.7556 | − | 8.56541i | 0.975058 | − | 0.445294i | ||||
\(371\) | 13.9258 | − | 12.0152i | 0.722992 | − | 0.623797i | ||||
\(372\) | −4.90748 | + | 5.66353i | −0.254441 | + | 0.293641i | ||||
\(373\) | −9.90740 | − | 19.2177i | −0.512986 | − | 0.995054i | −0.993036 | − | 0.117813i | \(-0.962412\pi\) |
0.480050 | − | 0.877241i | \(-0.340618\pi\) | |||||||
\(374\) | −2.69895 | − | 0.934114i | −0.139559 | − | 0.0483019i | ||||
\(375\) | 19.8684 | + | 25.2647i | 1.02600 | + | 1.30466i | ||||
\(376\) | −0.501837 | − | 0.526311i | −0.0258803 | − | 0.0271424i | ||||
\(377\) | −2.97666 | − | 4.63177i | −0.153306 | − | 0.238548i | ||||
\(378\) | −1.82983 | + | 1.91094i | −0.0941165 | + | 0.0982883i | ||||
\(379\) | −14.4956 | − | 6.61990i | −0.744587 | − | 0.340041i | 0.00673512 | − | 0.999977i | \(-0.497856\pi\) |
−0.751322 | + | 0.659936i | \(0.770583\pi\) | |||||||
\(380\) | 7.65885 | + | 10.7553i | 0.392891 | + | 0.551738i | ||||
\(381\) | −3.76646 | − | 9.40815i | −0.192961 | − | 0.481994i | ||||
\(382\) | 10.5957 | − | 20.5529i | 0.542125 | − | 1.05158i | ||||
\(383\) | 6.41031 | − | 6.11222i | 0.327552 | − | 0.312320i | −0.508402 | − | 0.861120i | \(-0.669764\pi\) |
0.835954 | + | 0.548800i | \(0.184915\pi\) | |||||||
\(384\) | 0.989821 | − | 0.142315i | 0.0505116 | − | 0.00726247i | ||||
\(385\) | 3.97622 | − | 2.81877i | 0.202647 | − | 0.143658i | ||||
\(386\) | −2.60952 | − | 1.67703i | −0.132821 | − | 0.0853588i | ||||
\(387\) | −3.37565 | + | 1.16832i | −0.171594 | + | 0.0593893i | ||||
\(388\) | −0.116247 | − | 0.110842i | −0.00590157 | − | 0.00562713i | ||||
\(389\) | −23.7858 | − | 16.9378i | −1.20599 | − | 0.858781i | −0.213008 | − | 0.977050i | \(-0.568326\pi\) |
−0.992982 | + | 0.118269i | \(0.962265\pi\) | |||||||
\(390\) | 10.9417 | − | 18.9516i | 0.554054 | − | 0.959650i | ||||
\(391\) | −19.1001 | − | 24.7170i | −0.965934 | − | 1.24999i | ||||
\(392\) | −6.86782 | − | 1.35390i | −0.346877 | − | 0.0683824i | ||||
\(393\) | 3.04493 | + | 6.66748i | 0.153597 | + | 0.336330i | ||||
\(394\) | 0.255030 | − | 1.05125i | 0.0128482 | − | 0.0529611i | ||||
\(395\) | 7.40720 | − | 38.4322i | 0.372696 | − | 1.93373i | ||||
\(396\) | −0.437992 | − | 0.0208641i | −0.0220099 | − | 0.00104846i | ||||
\(397\) | −4.30746 | − | 22.3492i | −0.216185 | − | 1.12168i | −0.914098 | − | 0.405493i | \(-0.867100\pi\) |
0.697913 | − | 0.716183i | \(-0.254112\pi\) | |||||||
\(398\) | −1.49627 | − | 10.4068i | −0.0750012 | − | 0.521645i | ||||
\(399\) | −3.10675 | + | 7.71285i | −0.155532 | + | 0.386125i | ||||
\(400\) | 10.6422 | − | 6.83932i | 0.532110 | − | 0.341966i | ||||
\(401\) | −13.5593 | + | 17.2420i | −0.677119 | + | 0.861027i | −0.996235 | − | 0.0866887i | \(-0.972371\pi\) |
0.319117 | + | 0.947715i | \(0.396614\pi\) | |||||||
\(402\) | −11.9547 | + | 1.14153i | −0.596245 | + | 0.0569345i | ||||
\(403\) | 38.8576 | − | 3.71045i | 1.93563 | − | 0.184831i | ||||
\(404\) | −0.173891 | + | 0.221120i | −0.00865140 | + | 0.0110012i | ||||
\(405\) | 3.53431 | − | 2.27136i | 0.175621 | − | 0.112865i | ||||
\(406\) | 2.20195 | − | 1.72408i | 0.109281 | − | 0.0855649i | ||||
\(407\) | 0.306265 | + | 2.13012i | 0.0151810 | + | 0.105586i | ||||
\(408\) | −1.23266 | − | 6.39563i | −0.0610256 | − | 0.316631i | ||||
\(409\) | 14.6775 | + | 0.699175i | 0.725755 | + | 0.0345720i | 0.407208 | − | 0.913335i | \(-0.366502\pi\) |
0.318546 | + | 0.947907i | \(0.396805\pi\) | |||||||
\(410\) | 3.29059 | − | 17.0732i | 0.162511 | − | 0.843185i | ||||
\(411\) | 2.06590 | − | 8.51575i | 0.101903 | − | 0.420051i | ||||
\(412\) | 2.06674 | + | 4.52553i | 0.101821 | + | 0.222957i | ||||
\(413\) | 29.9836 | − | 13.6163i | 1.47539 | − | 0.670012i | ||||
\(414\) | −3.88280 | − | 2.81493i | −0.190829 | − | 0.138346i | ||||
\(415\) | 11.4169 | − | 19.7746i | 0.560433 | − | 0.970699i | ||||
\(416\) | −4.24296 | − | 3.02140i | −0.208028 | − | 0.148136i | ||||
\(417\) | −0.867120 | − | 0.826797i | −0.0424631 | − | 0.0404884i | ||||
\(418\) | −1.30229 | + | 0.450725i | −0.0636969 | + | 0.0220457i | ||||
\(419\) | 23.1709 | + | 14.8910i | 1.13197 | + | 0.727474i | 0.965971 | − | 0.258651i | \(-0.0832780\pi\) |
0.166001 | + | 0.986126i | \(0.446914\pi\) | |||||||
\(420\) | 10.1011 | + | 4.63895i | 0.492885 | + | 0.226358i | ||||
\(421\) | 30.1132 | − | 4.32962i | 1.46763 | − | 0.211013i | 0.638304 | − | 0.769784i | \(-0.279636\pi\) |
0.829322 | + | 0.558771i | \(0.188727\pi\) | |||||||
\(422\) | 13.4903 | − | 12.8629i | 0.656695 | − | 0.626158i | ||||
\(423\) | −0.333230 | + | 0.646376i | −0.0162022 | + | 0.0314279i | ||||
\(424\) | 2.58372 | + | 6.45383i | 0.125477 | + | 0.313426i | ||||
\(425\) | −47.7946 | − | 67.1181i | −2.31838 | − | 3.25571i | ||||
\(426\) | 13.5035 | + | 6.16686i | 0.654249 | + | 0.298785i | ||||
\(427\) | −27.4843 | − | 26.3177i | −1.33006 | − | 1.27360i | ||||
\(428\) | −7.81852 | − | 12.1659i | −0.377923 | − | 0.588059i | ||||
\(429\) | 1.57614 | + | 1.65301i | 0.0760967 | + | 0.0798079i | ||||
\(430\) | 9.27690 | + | 11.7965i | 0.447372 | + | 0.568880i | ||||
\(431\) | −30.5692 | − | 10.5801i | −1.47247 | − | 0.509626i | −0.531189 | − | 0.847253i | \(-0.678255\pi\) |
−0.941280 | + | 0.337627i | \(0.890376\pi\) | |||||||
\(432\) | −0.458227 | − | 0.888835i | −0.0220464 | − | 0.0427641i | ||||
\(433\) | 23.1134 | − | 26.6743i | 1.11076 | − | 1.28188i | 0.154942 | − | 0.987924i | \(-0.450481\pi\) |
0.955817 | − | 0.293961i | \(-0.0949735\pi\) | |||||||
\(434\) | 3.71100 | + | 19.4767i | 0.178134 | + | 0.934911i | ||||
\(435\) | −4.03949 | + | 1.84477i | −0.193679 | + | 0.0884500i | ||||
\(436\) | 3.23980 | + | 1.87050i | 0.155158 | + | 0.0895806i | ||||
\(437\) | −14.6167 | − | 3.67770i | −0.699213 | − | 0.175928i | ||||
\(438\) | −2.28927 | − | 3.96514i | −0.109386 | − | 0.189462i | ||||
\(439\) | 2.11899 | − | 22.1911i | 0.101134 | − | 1.05912i | −0.792361 | − | 0.610052i | \(-0.791149\pi\) |
0.893496 | − | 0.449072i | \(-0.148245\pi\) | |||||||
\(440\) | 0.519006 | + | 1.76757i | 0.0247427 | + | 0.0842658i | ||||
\(441\) | 0.966805 | + | 6.93291i | 0.0460383 | + | 0.330139i | ||||
\(442\) | −18.3421 | + | 28.5409i | −0.872446 | + | 1.35755i | ||||
\(443\) | −23.3152 | + | 4.49364i | −1.10774 | + | 0.213499i | −0.710140 | − | 0.704060i | \(-0.751368\pi\) |
−0.397598 | + | 0.917560i | \(0.630156\pi\) | |||||||
\(444\) | −3.85781 | + | 3.03381i | −0.183083 | + | 0.143978i | ||||
\(445\) | 16.7748 | + | 69.1466i | 0.795201 | + | 3.27786i | ||||
\(446\) | −9.48695 | + | 0.451919i | −0.449220 | + | 0.0213990i | ||||
\(447\) | −2.98488 | + | 20.7603i | −0.141180 | + | 0.981927i | ||||
\(448\) | 1.32773 | − | 2.28848i | 0.0627294 | − | 0.108120i | ||||
\(449\) | −8.29842 | + | 18.1710i | −0.391627 | + | 0.857543i | 0.606424 | + | 0.795141i | \(0.292603\pi\) |
−0.998051 | + | 0.0624016i | \(0.980124\pi\) | |||||||
\(450\) | −9.94389 | − | 7.81996i | −0.468759 | − | 0.368637i | ||||
\(451\) | 1.61301 | + | 0.831564i | 0.0759537 | + | 0.0391568i | ||||
\(452\) | 3.16465 | − | 0.767736i | 0.148853 | − | 0.0361113i | ||||
\(453\) | 1.04698 | − | 2.61523i | 0.0491914 | − | 0.122874i | ||||
\(454\) | 6.40443 | + | 7.39110i | 0.300575 | + | 0.346882i | ||||
\(455\) | −21.4045 | − | 53.7962i | −1.00346 | − | 2.52200i | ||||
\(456\) | −2.37516 | − | 2.05809i | −0.111227 | − | 0.0963789i | ||||
\(457\) | 25.6094 | + | 6.21276i | 1.19796 | + | 0.290621i | 0.784631 | − | 0.619963i | \(-0.212852\pi\) |
0.413324 | + | 0.910584i | \(0.364368\pi\) | |||||||
\(458\) | −0.958208 | + | 1.34562i | −0.0447741 | + | 0.0628765i | ||||
\(459\) | −5.64072 | + | 3.25667i | −0.263286 | + | 0.152008i | ||||
\(460\) | −5.84046 | + | 19.2834i | −0.272313 | + | 0.899092i | ||||
\(461\) | − | 1.02769i | − | 0.0478642i | −0.999714 | − | 0.0239321i | \(-0.992381\pi\) | ||
0.999714 | − | 0.0239321i | \(-0.00761856\pi\) | |||||||
\(462\) | −0.761583 | + | 0.875156i | −0.0354320 | + | 0.0407159i | ||||
\(463\) | −15.0244 | + | 4.41155i | −0.698242 | + | 0.205022i | −0.611542 | − | 0.791212i | \(-0.709450\pi\) |
−0.0866999 | + | 0.996234i | \(0.527632\pi\) | |||||||
\(464\) | 0.345717 | + | 0.998884i | 0.0160495 | + | 0.0463720i | ||||
\(465\) | 1.49806 | − | 31.4481i | 0.0694708 | − | 1.45837i | ||||
\(466\) | 3.07585 | − | 8.88707i | 0.142486 | − | 0.411686i | ||||
\(467\) | −19.5536 | − | 7.82809i | −0.904834 | − | 0.362241i | −0.127874 | − | 0.991790i | \(-0.540815\pi\) |
−0.776960 | + | 0.629550i | \(0.783239\pi\) | |||||||
\(468\) | −1.46749 | + | 4.99780i | −0.0678346 | + | 0.231023i | ||||
\(469\) | −17.2344 | + | 26.6926i | −0.795811 | + | 1.23255i | ||||
\(470\) | 3.02411 | + | 0.434802i | 0.139492 | + | 0.0200559i | ||||
\(471\) | 7.05926 | − | 5.02688i | 0.325274 | − | 0.231626i | ||||
\(472\) | 1.18312 | + | 12.3902i | 0.0544575 | + | 0.570305i | ||||
\(473\) | −1.45413 | + | 0.582147i | −0.0668611 | + | 0.0267671i | ||||
\(474\) | 0.443282 | + | 9.30563i | 0.0203606 | + | 0.427422i | ||||
\(475\) | −38.1471 | − | 11.2010i | −1.75031 | − | 0.513937i | ||||
\(476\) | −15.3002 | − | 7.92894i | −0.701285 | − | 0.363422i | ||||
\(477\) | 5.25382 | − | 4.55246i | 0.240556 | − | 0.208443i | ||||
\(478\) | −12.3694 | + | 6.37686i | −0.565762 | + | 0.291671i | ||||
\(479\) | 18.2754 | + | 3.52229i | 0.835023 | + | 0.160937i | 0.588803 | − | 0.808277i | \(-0.299599\pi\) |
0.246220 | + | 0.969214i | \(0.420811\pi\) | |||||||
\(480\) | −2.89919 | + | 3.04058i | −0.132329 | + | 0.138783i | ||||
\(481\) | 25.4481 | + | 2.42999i | 1.16033 | + | 0.110798i | ||||
\(482\) | 4.55989 | 0.207697 | ||||||||
\(483\) | −12.2119 | + | 3.44536i | −0.555659 | + | 0.156769i | ||||
\(484\) | 10.8077 | 0.491260 | ||||||||
\(485\) | 0.671754 | + | 0.0641448i | 0.0305028 | + | 0.00291266i | ||||
\(486\) | −0.690079 | + | 0.723734i | −0.0313026 | + | 0.0328292i | ||||
\(487\) | −1.64315 | − | 0.316692i | −0.0744584 | − | 0.0143507i | 0.151886 | − | 0.988398i | \(-0.451465\pi\) |
−0.226344 | + | 0.974047i | \(0.572677\pi\) | |||||||
\(488\) | 12.7837 | − | 6.59047i | 0.578692 | − | 0.298337i | ||||
\(489\) | 5.59526 | − | 4.84832i | 0.253026 | − | 0.219248i | ||||
\(490\) | 26.1964 | − | 13.3648i | 1.18343 | − | 0.603762i | ||||
\(491\) | 20.9311 | + | 6.14593i | 0.944608 | + | 0.277362i | 0.717540 | − | 0.696517i | \(-0.245268\pi\) |
0.227068 | + | 0.973879i | \(0.427086\pi\) | |||||||
\(492\) | 0.196924 | + | 4.13395i | 0.00887803 | + | 0.186373i | ||||
\(493\) | 6.39156 | − | 2.55879i | 0.287861 | − | 0.115242i | ||||
\(494\) | 1.55608 | + | 16.2960i | 0.0700114 | + | 0.733193i | ||||
\(495\) | 1.50061 | − | 1.06858i | 0.0674473 | − | 0.0480290i | ||||
\(496\) | −7.41765 | − | 1.06650i | −0.333062 | − | 0.0478871i | ||||
\(497\) | 34.9483 | − | 17.9234i | 1.56764 | − | 0.803973i | ||||
\(498\) | −1.53122 | + | 5.21486i | −0.0686156 | + | 0.233683i | ||||
\(499\) | −38.8807 | − | 15.5655i | −1.74054 | − | 0.696807i | −0.999684 | − | 0.0251421i | \(-0.991996\pi\) |
−0.740855 | − | 0.671665i | \(-0.765580\pi\) | |||||||
\(500\) | −10.5123 | + | 30.3734i | −0.470126 | + | 1.35834i | ||||
\(501\) | 0.868634 | − | 18.2349i | 0.0388077 | − | 0.814674i | ||||
\(502\) | 8.51373 | + | 24.5988i | 0.379987 | + | 1.09790i | ||||
\(503\) | −14.7568 | + | 4.33299i | −0.657974 | + | 0.193199i | −0.593641 | − | 0.804730i | \(-0.702310\pi\) |
−0.0643330 | + | 0.997928i | \(0.520492\pi\) | |||||||
\(504\) | −2.59687 | − | 0.506220i | −0.115674 | − | 0.0225489i | ||||
\(505\) | − | 1.18183i | − | 0.0525907i | ||||||
\(506\) | −1.75937 | − | 1.15191i | −0.0782134 | − | 0.0512085i | ||||
\(507\) | 12.2383 | − | 7.06576i | 0.543520 | − | 0.313802i | ||||
\(508\) | 5.87834 | − | 8.25497i | 0.260809 | − | 0.366255i | ||||
\(509\) | 8.59373 | + | 2.08482i | 0.380911 | + | 0.0924079i | 0.421642 | − | 0.906762i | \(-0.361454\pi\) |
−0.0407318 | + | 0.999170i | \(0.512969\pi\) | |||||||
\(510\) | 20.6804 | + | 17.9197i | 0.915743 | + | 0.793496i | ||||
\(511\) | −11.9867 | − | 1.74939i | −0.530261 | − | 0.0773882i | ||||
\(512\) | 0.654861 | + | 0.755750i | 0.0289410 | + | 0.0333997i | ||||
\(513\) | −1.16806 | + | 2.91767i | −0.0515710 | + | 0.128818i | ||||
\(514\) | −14.7001 | + | 3.56620i | −0.648393 | + | 0.157298i | ||||
\(515\) | −18.5781 | − | 9.57770i | −0.818651 | − | 0.422044i | ||||
\(516\) | −2.80787 | − | 2.20814i | −0.123610 | − | 0.0972077i | ||||
\(517\) | −0.132466 | + | 0.290060i | −0.00582585 | + | 0.0127568i | ||||
\(518\) | −0.0275389 | + | 12.9848i | −0.00120999 | + | 0.570521i | ||||
\(519\) | 0.835260 | − | 5.80936i | 0.0366638 | − | 0.255003i | ||||
\(520\) | 21.8586 | − | 1.04125i | 0.958563 | − | 0.0456620i | ||||
\(521\) | 6.84817 | + | 28.2286i | 0.300024 | + | 1.23672i | 0.899713 | + | 0.436482i | \(0.143776\pi\) |
−0.599689 | + | 0.800233i | \(0.704709\pi\) | |||||||
\(522\) | 0.830874 | − | 0.653406i | 0.0363663 | − | 0.0285988i | ||||
\(523\) | 9.46550 | − | 1.82433i | 0.413898 | − | 0.0797722i | 0.0219484 | − | 0.999759i | \(-0.493013\pi\) |
0.391949 | + | 0.919987i | \(0.371801\pi\) | |||||||
\(524\) | −3.96282 | + | 6.16627i | −0.173117 | + | 0.269375i | ||||
\(525\) | −32.5430 | + | 7.82181i | −1.42029 | + | 0.341372i | ||||
\(526\) | −1.36428 | − | 4.64630i | −0.0594853 | − | 0.202588i | ||||
\(527\) | −4.63973 | + | 48.5895i | −0.202110 | + | 2.11659i | ||||
\(528\) | −0.219244 | − | 0.379742i | −0.00954138 | − | 0.0165262i | ||||
\(529\) | −9.19780 | − | 21.0808i | −0.399904 | − | 0.916557i | ||||
\(530\) | −25.2933 | − | 14.6031i | −1.09867 | − | 0.634318i | ||||
\(531\) | 11.3218 | − | 5.17048i | 0.491323 | − | 0.224380i | ||||
\(532\) | −8.16810 | + | 1.55631i | −0.354132 | + | 0.0674747i | ||||
\(533\) | 14.1170 | − | 16.2919i | 0.611477 | − | 0.705682i | ||||
\(534\) | −7.76053 | − | 15.0533i | −0.335831 | − | 0.651421i | ||||
\(535\) | 57.4150 | + | 19.8715i | 2.48227 | + | 0.859121i | ||||
\(536\) | −7.42351 | − | 9.43975i | −0.320647 | − | 0.407735i | ||||
\(537\) | −1.35020 | − | 1.41605i | −0.0582653 | − | 0.0611069i | ||||
\(538\) | −0.0293403 | − | 0.0456544i | −0.00126495 | − | 0.00196830i | ||||
\(539\) | 0.568102 | + | 3.01639i | 0.0244699 | + | 0.129925i | ||||
\(540\) | 3.82158 | + | 1.74526i | 0.164455 | + | 0.0751039i | ||||
\(541\) | 15.5320 | + | 21.8117i | 0.667775 | + | 0.937759i | 0.999985 | − | 0.00544668i | \(-0.00173374\pi\) |
−0.332210 | + | 0.943205i | \(0.607794\pi\) | |||||||
\(542\) | −2.63461 | − | 6.58093i | −0.113166 | − | 0.282675i | ||||
\(543\) | −5.36093 | + | 10.3988i | −0.230060 | + | 0.446253i | ||||
\(544\) | 4.71392 | − | 4.49472i | 0.202108 | − | 0.192709i | ||||
\(545\) | −15.5568 | + | 2.23674i | −0.666382 | + | 0.0958112i | ||||
\(546\) | 7.97004 | + | 11.2427i | 0.341086 | + | 0.481145i | ||||
\(547\) | −7.35636 | − | 4.72765i | −0.314535 | − | 0.202140i | 0.373842 | − | 0.927492i | \(-0.378040\pi\) |
−0.688377 | + | 0.725353i | \(0.741677\pi\) | |||||||
\(548\) | 8.28082 | − | 2.86602i | 0.353739 | − | 0.122430i | ||||
\(549\) | −10.4092 | − | 9.92511i | −0.444252 | − | 0.423593i | ||||
\(550\) | −4.51850 | − | 3.21761i | −0.192670 | − | 0.137199i | ||||
\(551\) | 1.66100 | − | 2.87693i | 0.0707608 | − | 0.122561i | ||||
\(552\) | 0.268872 | − | 4.78829i | 0.0114440 | − | 0.203803i | ||||
\(553\) | 20.0475 | + | 14.3400i | 0.852508 | + | 0.609797i | ||||
\(554\) | 12.7326 | + | 27.8805i | 0.540956 | + | 1.18453i | ||||
\(555\) | 4.86109 | − | 20.0377i | 0.206342 | − | 0.850553i | ||||
\(556\) | 0.226746 | − | 1.17647i | 0.00961616 | − | 0.0498934i | ||||
\(557\) | 6.82116 | + | 0.324932i | 0.289022 | + | 0.0137678i | 0.191592 | − | 0.981475i | \(-0.438635\pi\) |
0.0974296 | + | 0.995242i | \(0.468938\pi\) | |||||||
\(558\) | 1.41824 | + | 7.35850i | 0.0600387 | + | 0.311510i | ||||
\(559\) | 2.64797 | + | 18.4170i | 0.111997 | + | 0.778957i | ||||
\(560\) | 1.55855 | + | 11.0056i | 0.0658609 | + | 0.465072i | ||||
\(561\) | −2.40264 | + | 1.54408i | −0.101440 | + | 0.0651913i | ||||
\(562\) | 15.2326 | − | 19.3698i | 0.642549 | − | 0.817067i | ||||
\(563\) | −23.1529 | + | 2.21084i | −0.975779 | + | 0.0931756i | −0.570746 | − | 0.821126i | \(-0.693346\pi\) |
−0.405033 | + | 0.914302i | \(0.632740\pi\) | |||||||
\(564\) | −0.723924 | + | 0.0691263i | −0.0304827 | + | 0.00291074i | ||||
\(565\) | −8.45710 | + | 10.7541i | −0.355793 | + | 0.452428i | ||||
\(566\) | 9.27663 | − | 5.96173i | 0.389926 | − | 0.250590i | ||||
\(567\) | 0.370975 | + | 2.61961i | 0.0155795 | + | 0.110013i | ||||
\(568\) | 2.11267 | + | 14.6940i | 0.0886457 | + | 0.616545i | ||||
\(569\) | −1.47275 | − | 7.64137i | −0.0617410 | − | 0.320343i | 0.937907 | − | 0.346888i | \(-0.112762\pi\) |
−0.999648 | + | 0.0265450i | \(0.991549\pi\) | |||||||
\(570\) | 13.1887 | + | 0.628253i | 0.552412 | + | 0.0263146i | ||||
\(571\) | 0.658287 | − | 3.41552i | 0.0275484 | − | 0.142935i | −0.965550 | − | 0.260217i | \(-0.916206\pi\) |
0.993099 | + | 0.117282i | \(0.0374181\pi\) | |||||||
\(572\) | −0.538473 | + | 2.21961i | −0.0225147 | + | 0.0928067i | ||||
\(573\) | −9.60579 | − | 21.0338i | −0.401288 | − | 0.878698i | ||||
\(574\) | 8.90596 | + | 6.37041i | 0.371727 | + | 0.265896i | ||||
\(575\) | −22.0693 | − | 56.5128i | −0.920353 | − | 2.35675i | ||||
\(576\) | 0.500000 | − | 0.866025i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | 18.6002 | + | 13.2452i | 0.774338 | + | 0.551404i | 0.897516 | − | 0.440981i | \(-0.145369\pi\) |
−0.123178 | + | 0.992385i | \(0.539309\pi\) | |||||||
\(578\) | −18.3999 | − | 17.5443i | −0.765335 | − | 0.729746i | ||||
\(579\) | −2.93133 | + | 1.01454i | −0.121822 | + | 0.0421630i | ||||
\(580\) | −3.73583 | − | 2.40087i | −0.155122 | − | 0.0996908i | ||||
\(581\) | 8.31618 | + | 11.7310i | 0.345013 | + | 0.486685i | ||||
\(582\) | −0.158987 | + | 0.0228588i | −0.00659021 | + | 0.000947530i | ||||
\(583\) | 2.20615 | − | 2.10356i | 0.0913693 | − | 0.0871205i | ||||
\(584\) | 2.09801 | − | 4.06958i | 0.0868164 | − | 0.168400i | ||||
\(585\) | −8.13323 | − | 20.3158i | −0.336268 | − | 0.839956i | ||||
\(586\) | −13.8037 | − | 19.3846i | −0.570225 | − | 0.800769i | ||||
\(587\) | 18.0514 | + | 8.24381i | 0.745062 | + | 0.340258i | 0.751511 | − | 0.659721i | \(-0.229325\pi\) |
−0.00644876 | + | 0.999979i | \(0.502053\pi\) | |||||||
\(588\) | −5.30964 | + | 4.56154i | −0.218966 | + | 0.188115i | ||||
\(589\) | 12.7331 | + | 19.8131i | 0.524658 | + | 0.816384i | ||||
\(590\) | −36.0849 | − | 37.8447i | −1.48559 | − | 1.55804i | ||||
\(591\) | −0.668688 | − | 0.850306i | −0.0275061 | − | 0.0349769i | ||||
\(592\) | −4.63789 | − | 1.60519i | −0.190616 | − | 0.0659729i | ||||
\(593\) | −12.8142 | − | 24.8561i | −0.526216 | − | 1.02072i | −0.990819 | − | 0.135197i | \(-0.956833\pi\) |
0.464603 | − | 0.885519i | \(-0.346197\pi\) | |||||||
\(594\) | −0.287149 | + | 0.331388i | −0.0117819 | + | 0.0135970i | ||||
\(595\) | 71.1191 | − | 13.5507i | 2.91560 | − | 0.555525i | ||||
\(596\) | −19.0784 | + | 8.71282i | −0.781482 | + | 0.356891i | ||||
\(597\) | −9.10522 | − | 5.25690i | −0.372652 | − | 0.215151i | ||||
\(598\) | −18.2250 | + | 17.0843i | −0.745275 | + | 0.698631i | ||||
\(599\) | −15.2403 | − | 26.3970i | −0.622704 | − | 1.07855i | −0.988980 | − | 0.148048i | \(-0.952701\pi\) |
0.366277 | − | 0.930506i | \(-0.380632\pi\) | |||||||
\(600\) | 1.20250 | − | 12.5931i | 0.0490917 | − | 0.514112i | ||||
\(601\) | 7.14435 | + | 24.3314i | 0.291424 | + | 0.992499i | 0.966908 | + | 0.255125i | \(0.0821165\pi\) |
−0.675484 | + | 0.737375i | \(0.736065\pi\) | |||||||
\(602\) | −9.18923 | + | 2.20866i | −0.374525 | + | 0.0900181i | ||||
\(603\) | −6.49259 | + | 10.1027i | −0.264399 | + | 0.411412i | ||||
\(604\) | 2.76611 | − | 0.533124i | 0.112551 | − | 0.0216925i | ||||
\(605\) | −35.6914 | + | 28.0680i | −1.45106 | + | 1.14113i | ||||
\(606\) | 0.0663201 | + | 0.273375i | 0.00269407 | + | 0.0111051i | ||||
\(607\) | −6.02675 | + | 0.287090i | −0.244618 | + | 0.0116526i | −0.169533 | − | 0.985525i | \(-0.554226\pi\) |
−0.0750853 | + | 0.997177i | \(0.523923\pi\) | |||||||
\(608\) | 0.447266 | − | 3.11080i | 0.0181390 | − | 0.126160i | ||||
\(609\) | 0.00593119 | − | 2.79660i | 0.000240344 | − | 0.113324i | ||||
\(610\) | −25.1013 | + | 54.9641i | −1.01632 | + | 2.22543i | ||||
\(611\) | 2.97751 | + | 2.34154i | 0.120457 | + | 0.0947285i | ||||
\(612\) | −5.78929 | − | 2.98458i | −0.234018 | − | 0.120645i | ||||
\(613\) | −34.9250 | + | 8.47273i | −1.41061 | + | 0.342210i | −0.867494 | − | 0.497448i | \(-0.834271\pi\) |
−0.543116 | + | 0.839658i | \(0.682755\pi\) | |||||||
\(614\) | 5.41348 | − | 13.5222i | 0.218470 | − | 0.545712i | ||||
\(615\) | −11.3863 | − | 13.1405i | −0.459141 | − | 0.529877i | ||||
\(616\) | −1.14797 | − | 0.167539i | −0.0462531 | − | 0.00675034i | ||||
\(617\) | 21.7229 | + | 18.8230i | 0.874531 | + | 0.757785i | 0.971384 | − | 0.237514i | \(-0.0763324\pi\) |
−0.0968537 | + | 0.995299i | \(0.530878\pi\) | |||||||
\(618\) | 4.83488 | + | 1.17293i | 0.194487 | + | 0.0471821i | ||||
\(619\) | 16.4449 | − | 23.0937i | 0.660978 | − | 0.928214i | −0.338943 | − | 0.940807i | \(-0.610069\pi\) |
0.999921 | + | 0.0125932i | \(0.00400866\pi\) | |||||||
\(620\) | 27.2658 | − | 15.7419i | 1.09502 | − | 0.632210i | ||||
\(621\) | −4.61288 | + | 1.31201i | −0.185108 | + | 0.0526492i | ||||
\(622\) | 2.58788i | 0.103764i | ||||||||
\(623\) | −43.9806 | − | 8.57336i | −1.76205 | − | 0.343484i | ||||
\(624\) | −4.99780 | + | 1.46749i | −0.200072 | + | 0.0587465i | ||||
\(625\) | −23.4772 | − | 67.8328i | −0.939087 | − | 2.71331i | ||||
\(626\) | −1.28575 | + | 26.9913i | −0.0513891 | + | 1.07879i | ||||
\(627\) | −0.450725 | + | 1.30229i | −0.0180002 | + | 0.0520083i | ||||
\(628\) | 8.04540 | + | 3.22089i | 0.321047 | + | 0.128528i | ||||
\(629\) | −9.00594 | + | 30.6714i | −0.359090 | + | 1.22295i | ||||
\(630\) | 9.89057 | − | 5.07242i | 0.394050 | − | 0.202090i | ||||
\(631\) | −11.3110 | − | 1.62627i | −0.450282 | − | 0.0647408i | −0.0865565 | − | 0.996247i | \(-0.527586\pi\) |
−0.363726 | + | 0.931506i | \(0.618495\pi\) | |||||||
\(632\) | −7.58873 | + | 5.40391i | −0.301864 | + | 0.214956i | ||||
\(633\) | −1.77182 | − | 18.5554i | −0.0704237 | − | 0.737510i | ||||
\(634\) | 14.8852 | − | 5.95912i | 0.591165 | − | 0.236667i | ||||
\(635\) | 2.02583 | + | 42.5274i | 0.0803927 | + | 1.68765i | ||||
\(636\) | 6.67020 | + | 1.95855i | 0.264491 | + | 0.0776615i | ||||
\(637\) | 36.4126 | + | 1.88938i | 1.44272 | + | 0.0748599i | ||||
\(638\) | 0.350283 | − | 0.303522i | 0.0138678 | − | 0.0120166i | ||||
\(639\) | 13.1948 | − | 6.80240i | 0.521979 | − | 0.269099i | ||||
\(640\) | −4.12532 | − | 0.795090i | −0.163067 | − | 0.0314287i | ||||
\(641\) | −10.8379 | + | 11.3664i | −0.428070 | + | 0.448946i | −0.902077 | − | 0.431574i | \(-0.857958\pi\) |
0.474008 | + | 0.880521i | \(0.342807\pi\) | |||||||
\(642\) | −14.3961 | − | 1.37466i | −0.568169 | − | 0.0542535i | ||||
\(643\) | 14.3684 | 0.566634 | 0.283317 | − | 0.959026i | \(-0.408565\pi\) | ||||
0.283317 | + | 0.959026i | \(0.408565\pi\) | |||||||
\(644\) | −9.50065 | − | 8.41056i | −0.374378 | − | 0.331423i | ||||
\(645\) | 15.0073 | 0.590912 | ||||||||
\(646\) | −20.3774 | − | 1.94580i | −0.801737 | − | 0.0765566i | ||||
\(647\) | −8.61116 | + | 9.03112i | −0.338540 | + | 0.355050i | −0.870893 | − | 0.491472i | \(-0.836459\pi\) |
0.532354 | + | 0.846522i | \(0.321308\pi\) | |||||||
\(648\) | −0.981929 | − | 0.189251i | −0.0385738 | − | 0.00743449i | ||||
\(649\) | 4.85097 | − | 2.50085i | 0.190417 | − | 0.0981669i | ||||
\(650\) | −49.7989 | + | 43.1510i | −1.95327 | + | 1.69252i | ||||
\(651\) | 17.6037 | + | 9.12265i | 0.689943 | + | 0.357545i | ||||
\(652\) | 7.10369 | + | 2.08583i | 0.278202 | + | 0.0816874i | ||||
\(653\) | −1.72056 | − | 36.1191i | −0.0673309 | − | 1.41345i | −0.739553 | − | 0.673099i | \(-0.764963\pi\) |
0.672222 | − | 0.740350i | \(-0.265340\pi\) | |||||||
\(654\) | 3.47302 | − | 1.39039i | 0.135806 | − | 0.0543684i | ||||
\(655\) | −2.92720 | − | 30.6551i | −0.114375 | − | 1.19779i | ||||
\(656\) | −3.37123 | + | 2.40064i | −0.131625 | + | 0.0937294i | ||||
\(657\) | −4.53195 | − | 0.651595i | −0.176808 | − | 0.0254212i | ||||
\(658\) | −1.04364 | + | 1.61639i | −0.0406854 | + | 0.0630135i | ||||
\(659\) | −4.55650 | + | 15.5180i | −0.177496 | + | 0.604496i | 0.821896 | + | 0.569637i | \(0.192916\pi\) |
−0.999392 | + | 0.0348587i | \(0.988902\pi\) | |||||||
\(660\) | 1.71024 | + | 0.684675i | 0.0665708 | + | 0.0266509i | ||||
\(661\) | 12.4555 | − | 35.9877i | 0.484461 | − | 1.39976i | −0.392746 | − | 0.919647i | \(-0.628475\pi\) |
0.877207 | − | 0.480112i | \(-0.159404\pi\) | |||||||
\(662\) | −0.0987639 | + | 2.07331i | −0.00383857 | + | 0.0805814i | ||||
\(663\) | 11.0963 | + | 32.0607i | 0.430945 | + | 1.24513i | ||||
\(664\) | −5.21486 | + | 1.53122i | −0.202376 | + | 0.0594229i | ||||
\(665\) | 22.9325 | − | 26.3524i | 0.889285 | − | 1.02190i | ||||
\(666\) | 4.90782i | 0.190174i | ||||||||
\(667\) | 5.02364 | − | 0.678793i | 0.194516 | − | 0.0262830i | ||||
\(668\) | 15.8098 | − | 9.12777i | 0.611698 | − | 0.353164i | ||||
\(669\) | −5.50921 | + | 7.73660i | −0.212998 | + | 0.299114i | ||||
\(670\) | 49.0307 | + | 11.8947i | 1.89422 | + | 0.459533i | ||||
\(671\) | −4.76620 | − | 4.12994i | −0.183997 | − | 0.159435i | ||||
\(672\) | −0.978115 | − | 2.45831i | −0.0377316 | − | 0.0948314i | ||||
\(673\) | −14.1827 | − | 16.3677i | −0.546703 | − | 0.630929i | 0.413408 | − | 0.910546i | \(-0.364338\pi\) |
−0.960112 | + | 0.279616i | \(0.909793\pi\) | |||||||
\(674\) | −2.98517 | + | 7.45661i | −0.114985 | + | 0.287218i | ||||
\(675\) | −12.2938 | + | 2.98245i | −0.473189 | + | 0.114794i | ||||
\(676\) | 12.5606 | + | 6.47544i | 0.483100 | + | 0.249055i | ||||
\(677\) | −6.03465 | − | 4.74570i | −0.231930 | − | 0.182392i | 0.495430 | − | 0.868648i | \(-0.335011\pi\) |
−0.727360 | + | 0.686256i | \(0.759253\pi\) | |||||||
\(678\) | 1.35278 | − | 2.96217i | 0.0519531 | − | 0.113761i | ||||
\(679\) | −0.213263 | + | 0.367579i | −0.00818427 | + | 0.0141064i | ||||
\(680\) | −3.89432 | + | 27.0856i | −0.149340 | + | 1.03868i | ||||
\(681\) | 9.76876 | − | 0.465343i | 0.374340 | − | 0.0178320i | ||||
\(682\) | 0.774705 | + | 3.19338i | 0.0296650 | + | 0.122281i | ||||
\(683\) | 10.3887 | − | 8.16974i | 0.397511 | − | 0.312606i | −0.399316 | − | 0.916813i | \(-0.630752\pi\) |
0.796827 | + | 0.604207i | \(0.206510\pi\) | |||||||
\(684\) | −3.08600 | + | 0.594777i | −0.117996 | + | 0.0227419i | ||||
\(685\) | −19.9034 | + | 30.9703i | −0.760470 | + | 1.18331i | ||||
\(686\) | 0.763510 | + | 18.5045i | 0.0291509 | + | 0.706506i | ||||
\(687\) | 0.465400 | + | 1.58501i | 0.0177561 | + | 0.0604718i | ||||
\(688\) | 0.339551 | − | 3.55594i | 0.0129453 | − | 0.135569i | ||||
\(689\) | −18.1052 | − | 31.3592i | −0.689755 | − | 1.19469i | ||||
\(690\) | 11.5474 | + | 16.5111i | 0.439603 | + | 0.628567i | ||||
\(691\) | −5.51232 | − | 3.18254i | −0.209699 | − | 0.121070i | 0.391473 | − | 0.920190i | \(-0.371966\pi\) |
−0.601171 | + | 0.799120i | \(0.705299\pi\) | |||||||
\(692\) | 5.33872 | − | 2.43811i | 0.202948 | − | 0.0926831i | ||||
\(693\) | 0.217140 | + | 1.13963i | 0.00824846 | + | 0.0432910i | ||||
\(694\) | 4.28649 | − | 4.94687i | 0.162713 | − | 0.187781i | ||||
\(695\) | 2.30652 | + | 4.47403i | 0.0874914 | + | 0.169710i | ||||
\(696\) | 0.998884 | + | 0.345717i | 0.0378626 | + | 0.0131044i | ||||
\(697\) | 16.6633 | + | 21.1891i | 0.631168 | + | 0.802595i | ||||
\(698\) | 7.51814 | + | 7.88480i | 0.284566 | + | 0.298444i | ||||
\(699\) | −5.08435 | − | 7.91140i | −0.192308 | − | 0.299237i | ||||
\(700\) | −24.1742 | − | 23.1481i | −0.913699 | − | 0.874918i | ||||
\(701\) | −5.88355 | − | 2.68693i | −0.222219 | − | 0.101484i | 0.301195 | − | 0.953563i | \(-0.402614\pi\) |
−0.523414 | + | 0.852079i | \(0.675342\pi\) | |||||||
\(702\) | 3.02140 | + | 4.24296i | 0.114035 | + | 0.160140i | ||||
\(703\) | 5.73261 | + | 14.3194i | 0.216210 | + | 0.540066i | ||||
\(704\) | 0.200927 | − | 0.389744i | 0.00757273 | − | 0.0146890i | ||||
\(705\) | 2.21116 | − | 2.10834i | 0.0832771 | − | 0.0794045i | ||||
\(706\) | −20.0414 | + | 2.88152i | −0.754268 | + | 0.108447i | ||||
\(707\) | 0.676348 | + | 0.310613i | 0.0254367 | + | 0.0116818i | ||||
\(708\) | 10.4707 | + | 6.72911i | 0.393513 | + | 0.252896i | ||||
\(709\) | −42.2998 | + | 14.6401i | −1.58860 | + | 0.549820i | −0.971495 | − | 0.237059i | \(-0.923817\pi\) |
−0.617107 | + | 0.786879i | \(0.711695\pi\) | |||||||
\(710\) | −45.1376 | − | 43.0386i | −1.69398 | − | 1.61521i | ||||
\(711\) | 7.58873 | + | 5.40391i | 0.284600 | + | 0.202663i | ||||
\(712\) | 8.46801 | − | 14.6670i | 0.317352 | − | 0.549670i | ||||
\(713\) | −12.0427 | + | 33.8619i | −0.451004 | + | 1.26814i | ||||
\(714\) | −15.6905 | + | 7.12545i | −0.587204 | + | 0.266663i | ||||
\(715\) | −3.98616 | − | 8.72848i | −0.149074 | − | 0.326427i | ||||
\(716\) | 0.461282 | − | 1.90143i | 0.0172389 | − | 0.0710597i | ||||
\(717\) | −2.63369 | + | 13.6649i | −0.0983571 | + | 0.510325i | ||||
\(718\) | 20.3140 | + | 0.967677i | 0.758113 | + | 0.0361134i | ||||
\(719\) | −4.22337 | − | 21.9129i | −0.157505 | − | 0.817214i | −0.971627 | − | 0.236520i | \(-0.923993\pi\) |
0.814122 | − | 0.580694i | \(-0.197219\pi\) | |||||||
\(720\) | 0.597899 | + | 4.15848i | 0.0222824 | + | 0.154977i | ||||
\(721\) | 10.3640 | − | 8.11482i | 0.385975 | − | 0.302212i | ||||
\(722\) | 7.67464 | − | 4.93219i | 0.285620 | − | 0.183557i | ||||
\(723\) | 2.81874 | − | 3.58432i | 0.104830 | − | 0.133302i | ||||
\(724\) | −11.6463 | + | 1.11209i | −0.432832 | + | 0.0413305i | ||||
\(725\) | 13.3112 | − | 1.27106i | 0.494365 | − | 0.0472061i | ||||
\(726\) | 6.68089 | − | 8.49545i | 0.247951 | − | 0.315296i | ||||
\(727\) | −12.3999 | + | 7.96895i | −0.459888 | + | 0.295552i | −0.749997 | − | 0.661442i | \(-0.769945\pi\) |
0.290109 | + | 0.956994i | \(0.406309\pi\) | |||||||
\(728\) | −5.14907 | + | 12.7831i | −0.190837 | + | 0.473773i | ||||
\(729\) | 0.142315 | + | 0.989821i | 0.00527092 | + | 0.0366601i | ||||
\(730\) | 3.64036 | + | 18.8880i | 0.134736 | + | 0.699075i | ||||
\(731\) | −23.2400 | − | 1.10706i | −0.859564 | − | 0.0409461i | ||||
\(732\) | 2.72192 | − | 14.1227i | 0.100605 | − | 0.521988i | ||||
\(733\) | 10.2193 | − | 42.1247i | 0.377460 | − | 1.55591i | −0.393682 | − | 0.919247i | \(-0.628799\pi\) |
0.771142 | − | 0.636663i | \(-0.219686\pi\) | |||||||
\(734\) | −7.43742 | − | 16.2857i | −0.274520 | − | 0.601115i | ||||
\(735\) | 5.68807 | − | 28.8533i | 0.209807 | − | 1.06427i | ||||
\(736\) | 4.17353 | − | 2.36255i | 0.153838 | − | 0.0870849i | ||||
\(737\) | −2.63292 | + | 4.56035i | −0.0969847 | + | 0.167983i | ||||
\(738\) | 3.37123 | + | 2.40064i | 0.124097 | + | 0.0883690i | ||||
\(739\) | 6.96295 | + | 6.63916i | 0.256136 | + | 0.244225i | 0.807257 | − | 0.590200i | \(-0.200951\pi\) |
−0.551121 | + | 0.834425i | \(0.685800\pi\) | |||||||
\(740\) | 19.4849 | − | 6.74379i | 0.716279 | − | 0.247907i | ||||
\(741\) | 13.7714 | + | 8.85037i | 0.505907 | + | 0.325127i | ||||
\(742\) | 15.0049 | − | 10.6370i | 0.550846 | − | 0.390498i | ||||
\(743\) | 34.2463 | − | 4.92387i | 1.25637 | − | 0.180639i | 0.518205 | − | 0.855256i | \(-0.326600\pi\) |
0.738168 | + | 0.674617i | \(0.235691\pi\) | |||||||
\(744\) | −5.42361 | + | 5.17140i | −0.198839 | + | 0.189593i | ||||
\(745\) | 40.3770 | − | 78.3204i | 1.47930 | − | 2.86944i | ||||
\(746\) | −8.03578 | − | 20.0724i | −0.294211 | − | 0.734903i | ||||
\(747\) | 3.15262 | + | 4.42723i | 0.115348 | + | 0.161984i | ||||
\(748\) | −2.59793 | − | 1.18644i | −0.0949898 | − | 0.0433804i | ||||
\(749\) | −26.4623 | + | 27.6353i | −0.966912 | + | 1.00977i | ||||
\(750\) | 17.3768 | + | 27.0389i | 0.634512 | + | 0.987320i | ||||
\(751\) | 27.5212 | + | 28.8634i | 1.00426 | + | 1.05324i | 0.998581 | + | 0.0532581i | \(0.0169606\pi\) |
0.00568344 | + | 0.999984i | \(0.498191\pi\) | |||||||
\(752\) | −0.449535 | − | 0.571631i | −0.0163929 | − | 0.0208452i | ||||
\(753\) | 24.5988 | + | 8.51373i | 0.896431 | + | 0.310258i | ||||
\(754\) | −2.52290 | − | 4.89375i | −0.0918787 | − | 0.178220i | ||||
\(755\) | −7.75025 | + | 8.94427i | −0.282060 | + | 0.325515i | ||||
\(756\) | −2.00320 | + | 1.72835i | −0.0728555 | + | 0.0628596i | ||||
\(757\) | 1.42490 | − | 0.650729i | 0.0517888 | − | 0.0236511i | −0.389352 | − | 0.921089i | \(-0.627301\pi\) |
0.441141 | + | 0.897438i | \(0.354574\pi\) | |||||||
\(758\) | −13.8007 | − | 7.96781i | −0.501262 | − | 0.289404i | ||||
\(759\) | −1.99303 | + | 0.670894i | −0.0723424 | + | 0.0243519i | ||||
\(760\) | 6.60181 | + | 11.4347i | 0.239473 | + | 0.414779i | ||||
\(761\) | 1.56334 | − | 16.3720i | 0.0566710 | − | 0.593485i | −0.921879 | − | 0.387477i | \(-0.873347\pi\) |
0.978550 | − | 0.206008i | \(-0.0660474\pi\) | |||||||
\(762\) | −2.85510 | − | 9.72357i | −0.103429 | − | 0.352248i | ||||
\(763\) | 2.80865 | − | 9.49088i | 0.101680 | − | 0.343593i | ||||
\(764\) | 12.5014 | − | 19.4526i | 0.452286 | − | 0.703771i | ||||
\(765\) | 26.8696 | − | 5.17869i | 0.971472 | − | 0.187236i | ||||
\(766\) | 6.96229 | − | 5.47521i | 0.251558 | − | 0.197827i | ||||
\(767\) | −15.2846 | − | 63.0040i | −0.551895 | − | 2.27494i | ||||
\(768\) | 0.998867 | − | 0.0475819i | 0.0360435 | − | 0.00171696i | ||||
\(769\) | 2.03756 | − | 14.1716i | 0.0734763 | − | 0.511039i | −0.919534 | − | 0.393011i | \(-0.871434\pi\) |
0.993010 | − | 0.118028i | \(-0.0376574\pi\) | |||||||
\(770\) | 4.22616 | − | 2.42804i | 0.152300 | − | 0.0875004i | ||||
\(771\) | −6.28376 | + | 13.7595i | −0.226304 | + | 0.495537i | ||||
\(772\) | −2.43829 | − | 1.91749i | −0.0877559 | − | 0.0690120i | ||||
\(773\) | 12.4342 | + | 6.41029i | 0.447228 | + | 0.230562i | 0.667102 | − | 0.744966i | \(-0.267534\pi\) |
−0.219874 | + | 0.975528i | \(0.570565\pi\) | |||||||
\(774\) | −3.47142 | + | 0.842158i | −0.124778 | + | 0.0302707i | ||||
\(775\) | −35.2341 | + | 88.0104i | −1.26564 | + | 3.16143i | ||||
\(776\) | −0.105185 | − | 0.121390i | −0.00377592 | − | 0.00435764i | ||||
\(777\) | 10.1897 | + | 8.04834i | 0.365555 | + | 0.288733i | ||||
\(778\) | −22.0681 | − | 19.1221i | −0.791179 | − | 0.685561i | ||||
\(779\) | 12.6402 | + | 3.06649i | 0.452883 | + | 0.109868i | ||||
\(780\) | 12.6936 | − | 17.8257i | 0.454504 | − | 0.638262i | ||||
\(781\) | 5.63730 | − | 3.25469i | 0.201718 | − | 0.116462i | ||||
\(782\) | −16.6641 | − | 26.4206i | −0.595908 | − | 0.944799i | ||||
\(783\) | − | 1.05702i | − | 0.0377748i | ||||||
\(784\) | −6.70803 | − | 2.00060i | −0.239572 | − | 0.0714500i | ||||
\(785\) | −34.9339 | + | 10.2575i | −1.24684 | + | 0.366106i | ||||
\(786\) | 2.39736 | + | 6.92673i | 0.0855111 | + | 0.247068i | ||||
\(787\) | 0.108639 | − | 2.28061i | 0.00387256 | − | 0.0812950i | −0.996104 | − | 0.0881900i | \(-0.971892\pi\) |
0.999976 | + | 0.00689498i | \(0.00219476\pi\) | |||||||
\(788\) | 0.353803 | − | 1.02225i | 0.0126037 | − | 0.0364160i | ||||
\(789\) | −4.49558 | − | 1.79976i | −0.160047 | − | 0.0640731i | ||||
\(790\) | 11.0269 | − | 37.5541i | 0.392318 | − | 1.33611i | ||||
\(791\) | −3.93171 | − | 7.66634i | −0.139796 | − | 0.272584i | ||||
\(792\) | −0.434025 | − | 0.0624034i | −0.0154224 | − | 0.00221741i | ||||
\(793\) | −61.0246 | + | 43.4554i | −2.16705 | + | 1.54315i | ||||
\(794\) | −2.16353 | − | 22.6575i | −0.0767807 | − | 0.804084i | ||||
\(795\) | −27.1141 | + | 10.8548i | −0.961637 | + | 0.384981i | ||||
\(796\) | −0.500267 | − | 10.5019i | −0.0177315 | − | 0.372230i | ||||
\(797\) | 47.4912 | + | 13.9447i | 1.68222 | + | 0.493946i | 0.976676 | − | 0.214716i | \(-0.0688827\pi\) |
0.705548 | + | 0.708662i | \(0.250701\pi\) | |||||||
\(798\) | −3.82584 | + | 7.38261i | −0.135433 | + | 0.261342i | ||||
\(799\) | −3.57969 | + | 3.10182i | −0.126640 | + | 0.109734i | ||||
\(800\) | 11.2441 | − | 5.79675i | 0.397540 | − | 0.204946i | ||||
\(801\) | −16.6300 | − | 3.20516i | −0.587591 | − | 0.113249i | ||||
\(802\) | −15.1369 | + | 15.8751i | −0.534501 | + | 0.560569i | ||||
\(803\) | −1.99855 | − | 0.190838i | −0.0705273 | − | 0.00673454i | ||||
\(804\) | −12.0091 | −0.423527 | ||||||||
\(805\) | 53.2174 | + | 3.10150i | 1.87567 | + | 0.109314i | ||||
\(806\) | 39.0343 | 1.37493 | ||||||||
\(807\) | −0.0540237 | − | 0.00515864i | −0.00190173 | − | 0.000181593i | ||||
\(808\) | −0.194122 | + | 0.203590i | −0.00682920 | + | 0.00716226i | ||||
\(809\) | −24.8041 | − | 4.78059i | −0.872064 | − | 0.168077i | −0.266463 | − | 0.963845i | \(-0.585855\pi\) |
−0.605601 | + | 0.795768i | \(0.707067\pi\) | |||||||
\(810\) | 3.73421 | − | 1.92512i | 0.131207 | − | 0.0676418i | ||||
\(811\) | 32.0366 | − | 27.7599i | 1.12496 | − | 0.974782i | 0.125109 | − | 0.992143i | \(-0.460072\pi\) |
0.999849 | + | 0.0173606i | \(0.00552634\pi\) | |||||||
\(812\) | 2.35586 | − | 1.50697i | 0.0826745 | − | 0.0528842i | ||||
\(813\) | −6.80156 | − | 1.99712i | −0.238541 | − | 0.0700420i | ||||
\(814\) | 0.102397 | + | 2.14959i | 0.00358903 | + | 0.0753429i | ||||
\(815\) | −28.8762 | + | 11.5603i | −1.01149 | + | 0.404939i | ||||
\(816\) | −0.619132 | − | 6.48385i | −0.0216740 | − | 0.226980i | ||||
\(817\) | −9.14477 | + | 6.51196i | −0.319935 | + | 0.227825i | ||||
\(818\) | 14.5446 | + | 2.09119i | 0.508539 | + | 0.0731168i | ||||
\(819\) | 13.7641 | + | 0.684928i | 0.480958 | + | 0.0239333i | ||||
\(820\) | 4.89860 | − | 16.6831i | 0.171066 | − | 0.582599i | ||||
\(821\) | 21.9520 | + | 8.78827i | 0.766131 | + | 0.306713i | 0.721614 | − | 0.692296i | \(-0.243401\pi\) |
0.0445176 | + | 0.999009i | \(0.485825\pi\) | |||||||
\(822\) | 2.86602 | − | 8.28082i | 0.0999639 | − | 0.288827i | ||||
\(823\) | −1.13512 | + | 23.8290i | −0.0395677 | + | 0.830628i | 0.888649 | + | 0.458588i | \(0.151645\pi\) |
−0.928217 | + | 0.372040i | \(0.878658\pi\) | |||||||
\(824\) | 1.62720 | + | 4.70149i | 0.0566863 | + | 0.163784i | ||||
\(825\) | −5.32236 | + | 1.56279i | −0.185301 | + | 0.0544093i | ||||
\(826\) | 31.1421 | − | 10.7045i | 1.08357 | − | 0.372456i | ||||
\(827\) | 44.7855i | 1.55734i | 0.627431 | + | 0.778672i | \(0.284106\pi\) | ||||
−0.627431 | + | 0.778672i | \(0.715894\pi\) | |||||||
\(828\) | −3.59764 | − | 3.17127i | −0.125027 | − | 0.110209i | ||||
\(829\) | −21.2438 | + | 12.2651i | −0.737828 | + | 0.425985i | −0.821279 | − | 0.570527i | \(-0.806739\pi\) |
0.0834514 | + | 0.996512i | \(0.473406\pi\) | |||||||
\(830\) | 13.2449 | − | 18.5999i | 0.459737 | − | 0.645611i | ||||
\(831\) | 29.7863 | + | 7.22608i | 1.03328 | + | 0.250670i | ||||
\(832\) | −3.93654 | − | 3.41103i | −0.136475 | − | 0.118256i | ||||
\(833\) | −10.9369 | + | 44.2622i | −0.378941 | + | 1.53359i | ||||
\(834\) | −0.784602 | − | 0.905479i | −0.0271685 | − | 0.0313542i | ||||
\(835\) | −28.5050 | + | 71.2020i | −0.986456 | + | 2.46405i | ||||
\(836\) | −1.33923 | + | 0.324894i | −0.0463183 | + | 0.0112367i | ||||
\(837\) | 6.66087 | + | 3.43392i | 0.230233 | + | 0.118694i | ||||
\(838\) | 21.6505 | + | 17.0261i | 0.747904 | + | 0.588158i | ||||
\(839\) | −17.2763 | + | 37.8299i | −0.596445 | + | 1.30603i | 0.335023 | + | 0.942210i | \(0.391256\pi\) |
−0.931468 | + | 0.363823i | \(0.881471\pi\) | |||||||
\(840\) | 9.61444 | + | 5.57812i | 0.331730 | + | 0.192463i | ||||
\(841\) | 3.96812 | − | 27.5989i | 0.136832 | − | 0.951686i | ||||
\(842\) | 30.3884 | − | 1.44758i | 1.04725 | − | 0.0498868i | ||||
\(843\) | −5.80955 | − | 23.9473i | −0.200091 | − | 0.824788i | ||||
\(844\) | 14.6519 | − | 11.5224i | 0.504338 | − | 0.396616i | ||||
\(845\) | −58.2970 | + | 11.2358i | −2.00548 | + | 0.386524i | ||||
\(846\) | −0.393163 | + | 0.611773i | −0.0135172 | + | 0.0210332i | ||||
\(847\) | −6.68247 | − | 27.8028i | −0.229612 | − | 0.955314i | ||||
\(848\) | 1.95855 | + | 6.67020i | 0.0672568 | + | 0.229056i | ||||
\(849\) | 1.04820 | − | 10.9772i | 0.0359740 | − | 0.376737i | ||||
\(850\) | −41.1982 | − | 71.3573i | −1.41309 | − | 2.44754i | ||||
\(851\) | −11.9412 | + | 20.2830i | −0.409340 | + | 0.695293i | ||||
\(852\) | 12.8562 | + | 7.42253i | 0.440446 | + | 0.254292i | ||||
\(853\) | −10.1801 | + | 4.64908i | −0.348559 | + | 0.159181i | −0.581999 | − | 0.813190i | \(-0.697729\pi\) |
0.233440 | + | 0.972371i | \(0.425002\pi\) | |||||||
\(854\) | −24.8582 | − | 28.8111i | −0.850629 | − | 0.985895i | ||||
\(855\) | 8.64653 | − | 9.97863i | 0.295705 | − | 0.341262i | ||||
\(856\) | −6.62668 | − | 12.8540i | −0.226495 | − | 0.439340i | ||||
\(857\) | 32.5783 | + | 11.2755i | 1.11285 | + | 0.385163i | 0.820787 | − | 0.571235i | \(-0.193535\pi\) |
0.292068 | + | 0.956398i | \(0.405657\pi\) | |||||||
\(858\) | 1.41187 | + | 1.79534i | 0.0482006 | + | 0.0612920i | ||||
\(859\) | 15.3165 | + | 16.0635i | 0.522593 | + | 0.548080i | 0.931142 | − | 0.364656i | \(-0.118814\pi\) |
−0.408549 | + | 0.912736i | \(0.633965\pi\) | |||||||
\(860\) | 8.11356 | + | 12.6250i | 0.276670 | + | 0.430507i | ||||
\(861\) | 10.5128 | − | 3.06263i | 0.358275 | − | 0.104374i | ||||
\(862\) | −29.4251 | − | 13.4380i | −1.00222 | − | 0.457700i | ||||
\(863\) | −10.7899 | − | 15.1523i | −0.367292 | − | 0.515789i | 0.589028 | − | 0.808113i | \(-0.299511\pi\) |
−0.956319 | + | 0.292324i | \(0.905572\pi\) | |||||||
\(864\) | −0.371662 | − | 0.928368i | −0.0126442 | − | 0.0315837i | ||||
\(865\) | −11.2987 | + | 21.9164i | −0.384168 | + | 0.745182i | ||||
\(866\) | 25.5443 | − | 24.3564i | 0.868030 | − | 0.827665i | ||||
\(867\) | −25.1648 | + | 3.61815i | −0.854641 | + | 0.122879i | ||||
\(868\) | 1.84282 | + | 19.7412i | 0.0625494 | + | 0.670062i | ||||
\(869\) | 3.43655 | + | 2.20854i | 0.116577 | + | 0.0749195i | ||||
\(870\) | −4.19655 | + | 1.45244i | −0.142276 | + | 0.0492423i | ||||
\(871\) | 45.2715 | + | 43.1663i | 1.53397 | + | 1.46263i | ||||
\(872\) | 3.04732 | + | 2.16999i | 0.103195 | + | 0.0734851i | ||||
\(873\) | −0.0803108 | + | 0.139102i | −0.00271811 | + | 0.00470790i | ||||
\(874\) | −14.2010 | − | 5.05046i | −0.480354 | − | 0.170834i | ||||
\(875\) | 84.6352 | + | 8.26285i | 2.86119 | + | 0.279335i | ||||
\(876\) | −1.90200 | − | 4.16479i | −0.0642625 | − | 0.140715i | ||||
\(877\) | 6.63283 | − | 27.3409i | 0.223975 | − | 0.923237i | −0.743189 | − | 0.669082i | \(-0.766687\pi\) |
0.967163 | − | 0.254155i | \(-0.0817974\pi\) | |||||||
\(878\) | 4.21880 | − | 21.8892i | 0.142378 | − | 0.738725i | ||||
\(879\) | −23.7702 | − | 1.13231i | −0.801748 | − | 0.0381919i | ||||
\(880\) | 0.348638 | + | 1.80890i | 0.0117526 | + | 0.0609782i | ||||
\(881\) | 1.52711 | + | 10.6212i | 0.0514495 | + | 0.357839i | 0.999241 | + | 0.0389489i | \(0.0124010\pi\) |
−0.947792 | + | 0.318890i | \(0.896690\pi\) | |||||||
\(882\) | 0.303412 | + | 6.99342i | 0.0102164 | + | 0.235481i | ||||
\(883\) | −17.9262 | + | 11.5205i | −0.603265 | + | 0.387695i | −0.806326 | − | 0.591471i | \(-0.798547\pi\) |
0.203061 | + | 0.979166i | \(0.434911\pi\) | |||||||
\(884\) | −20.9721 | + | 26.6681i | −0.705366 | + | 0.896946i | ||||
\(885\) | −52.0541 | + | 4.97057i | −1.74978 | + | 0.167084i | ||||
\(886\) | −23.6368 | + | 2.25704i | −0.794093 | + | 0.0758267i | ||||
\(887\) | −2.34996 | + | 2.98821i | −0.0789039 | + | 0.100334i | −0.823903 | − | 0.566732i | \(-0.808208\pi\) |
0.744999 | + | 0.667066i | \(0.232450\pi\) | |||||||
\(888\) | −4.12872 | + | 2.65337i | −0.138551 | + | 0.0890412i | ||||
\(889\) | −24.8704 | − | 10.0179i | −0.834128 | − | 0.335989i | ||||
\(890\) | 10.1260 | + | 70.4280i | 0.339425 | + | 2.36075i | ||||
\(891\) | 0.0829845 | + | 0.430565i | 0.00278009 | + | 0.0144245i | ||||
\(892\) | −9.48695 | − | 0.451919i | −0.317646 | − | 0.0151314i | ||||
\(893\) | −0.432532 | + | 2.24419i | −0.0144741 | + | 0.0750989i | ||||
\(894\) | −4.94475 | + | 20.3825i | −0.165377 | + | 0.681694i | ||||
\(895\) | 3.41474 | + | 7.47724i | 0.114142 | + | 0.249936i | ||||
\(896\) | 1.53925 | − | 2.15191i | 0.0514229 | − | 0.0718901i | ||||
\(897\) | 2.16326 | + | 24.8867i | 0.0722291 | + | 0.830941i | ||||
\(898\) | −9.98811 | + | 17.2999i | −0.333307 | + | 0.577305i | ||||
\(899\) | −6.45244 | − | 4.59476i | −0.215201 | − | 0.153244i | ||||
\(900\) | −9.15553 | − | 8.72978i | −0.305184 | − | 0.290993i | ||||
\(901\) | 42.7891 | − | 14.8095i | 1.42551 | − | 0.493374i | ||||
\(902\) | 1.52666 | + | 0.981125i | 0.0508322 | + | 0.0326679i | ||||
\(903\) | −3.94428 | + | 8.58852i | −0.131257 | + | 0.285808i | ||||
\(904\) | 3.22330 | − | 0.463441i | 0.107205 | − | 0.0154138i | ||||
\(905\) | 35.5727 | − | 33.9185i | 1.18248 | − | 1.12749i | ||||
\(906\) | 1.29083 | − | 2.50386i | 0.0428850 | − | 0.0831853i | ||||
\(907\) | 1.01347 | + | 2.53153i | 0.0336517 | + | 0.0840580i | 0.944242 | − | 0.329252i | \(-0.106797\pi\) |
−0.910590 | + | 0.413310i | \(0.864372\pi\) | |||||||
\(908\) | 5.67286 | + | 7.96642i | 0.188260 | + | 0.264375i | ||||
\(909\) | 0.255884 | + | 0.116858i | 0.00848713 | + | 0.00387594i | ||||
\(910\) | −16.1939 | − | 55.5872i | −0.536822 | − | 1.84270i | ||||
\(911\) | −5.26902 | − | 8.19875i | −0.174570 | − | 0.271637i | 0.742932 | − | 0.669367i | \(-0.233434\pi\) |
−0.917503 | + | 0.397730i | \(0.869798\pi\) | |||||||
\(912\) | −2.16877 | − | 2.27455i | −0.0718153 | − | 0.0753177i | ||||
\(913\) | 1.47319 | + | 1.87332i | 0.0487555 | + | 0.0619977i | ||||
\(914\) | 24.9028 | + | 8.61896i | 0.823713 | + | 0.285090i | ||||
\(915\) | 27.6881 | + | 53.7075i | 0.915342 | + | 1.77552i | ||||
\(916\) | −1.08178 | + | 1.24844i | −0.0357430 | + | 0.0412496i | ||||
\(917\) | 18.3129 | + | 6.38168i | 0.604745 | + | 0.210742i | ||||
\(918\) | −5.92474 | + | 2.70574i | −0.195546 | + | 0.0893027i | ||||
\(919\) | −33.3180 | − | 19.2361i | −1.09906 | − | 0.634542i | −0.163085 | − | 0.986612i | \(-0.552145\pi\) |
−0.935974 | + | 0.352070i | \(0.885478\pi\) | |||||||
\(920\) | −7.64701 | + | 18.6409i | −0.252115 | + | 0.614572i | ||||
\(921\) | −7.28279 | − | 12.6142i | −0.239976 | − | 0.415651i | ||||
\(922\) | 0.0976880 | − | 1.02304i | 0.00321718 | − | 0.0336919i | ||||
\(923\) | −21.7849 | − | 74.1926i | −0.717059 | − | 2.44208i | ||||
\(924\) | −0.841323 | + | 0.798800i | −0.0276775 | + | 0.0262786i | ||||
\(925\) | −33.5662 | + | 52.2300i | −1.10365 | + | 1.71731i | ||||
\(926\) | −15.3757 | + | 2.96342i | −0.505276 | + | 0.0973840i | ||||
\(927\) | 3.91071 | − | 3.07542i | 0.128445 | − | 0.101010i | ||||
\(928\) | 0.249202 | + | 1.02722i | 0.00818045 | + | 0.0337203i | ||||
\(929\) | −26.2827 | + | 1.25200i | −0.862309 | + | 0.0410768i | −0.474075 | − | 0.880484i | \(-0.657218\pi\) |
−0.388233 | + | 0.921561i | \(0.626915\pi\) | |||||||
\(930\) | 4.48061 | − | 31.1633i | 0.146925 | − | 1.02189i | ||||
\(931\) | 9.05398 | + | 20.0501i | 0.296732 | + | 0.657115i | ||||
\(932\) | 3.90669 | − | 8.55445i | 0.127968 | − | 0.280210i | ||||
\(933\) | 2.03421 | + | 1.59972i | 0.0665970 | + | 0.0523725i | ||||
\(934\) | −18.7210 | − | 9.65134i | −0.612569 | − | 0.315801i | ||||
\(935\) | 11.6606 | − | 2.82883i | 0.381343 | − | 0.0925128i | ||||
\(936\) | −1.93591 | + | 4.83568i | −0.0632773 | + | 0.158059i | ||||
\(937\) | 37.7819 | + | 43.6026i | 1.23428 | + | 1.42443i | 0.869932 | + | 0.493171i | \(0.164162\pi\) |
0.364347 | + | 0.931263i | \(0.381292\pi\) | |||||||
\(938\) | −19.6937 | + | 24.9335i | −0.643021 | + | 0.814109i | ||||
\(939\) | 20.4218 | + | 17.6956i | 0.666440 | + | 0.577474i | ||||
\(940\) | 2.96909 | + | 0.720293i | 0.0968410 | + | 0.0234934i | ||||
\(941\) | −2.45941 | + | 3.45376i | −0.0801745 | + | 0.112589i | −0.852716 | − | 0.522375i | \(-0.825046\pi\) |
0.772541 | + | 0.634965i | \(0.218985\pi\) | |||||||
\(942\) | 7.50513 | − | 4.33309i | 0.244530 | − | 0.141180i | ||||
\(943\) | 8.09160 | + | 18.1239i | 0.263499 | + | 0.590197i | ||||
\(944\) | 12.4465i | 0.405101i | ||||||||
\(945\) | 2.12675 | − | 10.9101i | 0.0691833 | − | 0.354905i | ||||
\(946\) | −1.50288 | + | 0.441287i | −0.0488630 | + | 0.0143475i | ||||
\(947\) | 2.41897 | + | 6.98915i | 0.0786059 | + | 0.227117i | 0.977456 | − | 0.211140i | \(-0.0677175\pi\) |
−0.898850 | + | 0.438256i | \(0.855596\pi\) | |||||||
\(948\) | −0.443282 | + | 9.30563i | −0.0143971 | + | 0.302233i | ||||
\(949\) | −7.80015 | + | 22.5371i | −0.253204 | + | 0.731584i | ||||
\(950\) | −36.9097 | − | 14.7764i | −1.19751 | − | 0.479410i | ||||
\(951\) | 4.51721 | − | 15.3842i | 0.146481 | − | 0.498867i | ||||
\(952\) | −14.4773 | − | 9.34741i | −0.469211 | − | 0.302951i | ||||
\(953\) | 49.0516 | + | 7.05256i | 1.58894 | + | 0.228455i | 0.879355 | − | 0.476167i | \(-0.157974\pi\) |
0.709583 | + | 0.704622i | \(0.248883\pi\) | |||||||
\(954\) | 5.66277 | − | 4.03244i | 0.183339 | − | 0.130555i | ||||
\(955\) | 9.23439 | + | 96.7069i | 0.298818 | + | 3.12936i | ||||
\(956\) | −12.9195 | + | 5.17220i | −0.417847 | + | 0.167281i | ||||
\(957\) | −0.0220538 | − | 0.462966i | −0.000712898 | − | 0.0149656i | ||||
\(958\) | 17.8578 | + | 5.24352i | 0.576959 | + | 0.169411i | ||||
\(959\) | −12.4929 | − | 19.5302i | −0.403416 | − | 0.630664i | ||||
\(960\) | −3.17508 | + | 2.75123i | −0.102475 | + | 0.0887954i | ||||
\(961\) | 22.3622 | − | 11.5285i | 0.721361 | − | 0.371888i | ||||
\(962\) | 25.1018 | + | 4.83798i | 0.809316 | + | 0.155983i | ||||
\(963\) | −9.97964 | + | 10.4663i | −0.321589 | + | 0.337273i | ||||
\(964\) | 4.53925 | + | 0.433445i | 0.146199 | + | 0.0139603i | ||||
\(965\) | 13.0320 | 0.419514 | ||||||||
\(966\) | −12.4841 | + | 2.26895i | −0.401668 | + | 0.0730023i | ||||
\(967\) | 40.9784 | 1.31778 | 0.658888 | − | 0.752241i | \(-0.271027\pi\) | ||||
0.658888 | + | 0.752241i | \(0.271027\pi\) | |||||||
\(968\) | 10.7588 | + | 1.02734i | 0.345801 | + | 0.0330200i | ||||
\(969\) | −14.1260 | + | 14.8149i | −0.453791 | + | 0.475923i | ||||
\(970\) | 0.662615 | + | 0.127709i | 0.0212753 | + | 0.00410048i | ||||
\(971\) | 28.7151 | − | 14.8036i | 0.921510 | − | 0.475072i | 0.0689027 | − | 0.997623i | \(-0.478050\pi\) |
0.852608 | + | 0.522552i | \(0.175020\pi\) | |||||||
\(972\) | −0.755750 | + | 0.654861i | −0.0242407 | + | 0.0210047i | ||||
\(973\) | −3.16665 | + | 0.144116i | −0.101518 | + | 0.00462013i | ||||
\(974\) | −1.60561 | − | 0.471450i | −0.0514471 | − | 0.0151062i | ||||
\(975\) | 3.13533 | + | 65.8187i | 0.100411 | + | 2.10789i | ||||
\(976\) | 13.3523 | − | 5.34546i | 0.427397 | − | 0.171104i | ||||
\(977\) | 2.11281 | + | 22.1263i | 0.0675947 | + | 0.707884i | 0.964222 | + | 0.265097i | \(0.0854040\pi\) |
−0.896627 | + | 0.442787i | \(0.853990\pi\) | |||||||
\(978\) | 6.03078 | − | 4.29450i | 0.192843 | − | 0.137323i | ||||
\(979\) | −7.35066 | − | 1.05687i | −0.234928 | − | 0.0337776i | ||||
\(980\) | 27.3482 | − | 10.8142i | 0.873606 | − | 0.345447i | ||||
\(981\) | 1.05396 | − | 3.58946i | 0.0336504 | − | 0.114603i | ||||
\(982\) | 20.2521 | + | 8.10773i | 0.646271 | + | 0.258728i | ||||
\(983\) | −0.397065 | + | 1.14724i | −0.0126644 | + | 0.0365914i | −0.951156 | − | 0.308711i | \(-0.900102\pi\) |
0.938491 | + | 0.345302i | \(0.112224\pi\) | |||||||
\(984\) | −0.196924 | + | 4.13395i | −0.00627772 | + | 0.131785i | ||||
\(985\) | 1.48641 | + | 4.29470i | 0.0473609 | + | 0.136840i | ||||
\(986\) | 6.60585 | − | 1.93965i | 0.210373 | − | 0.0617711i | ||||
\(987\) | 0.625432 | + | 1.81954i | 0.0199077 | + | 0.0579167i | ||||
\(988\) | 16.3702i | 0.520804i | ||||||||
\(989\) | −16.3957 | − | 4.96587i | −0.521354 | − | 0.157905i | ||||
\(990\) | 1.59539 | − | 0.921098i | 0.0507048 | − | 0.0292744i | ||||
\(991\) | −12.4901 | + | 17.5399i | −0.396761 | + | 0.557172i | −0.963837 | − | 0.266493i | \(-0.914135\pi\) |
0.567076 | + | 0.823665i | \(0.308074\pi\) | |||||||
\(992\) | −7.28269 | − | 1.76676i | −0.231226 | − | 0.0560947i | ||||
\(993\) | 1.56868 | + | 1.35927i | 0.0497805 | + | 0.0431351i | ||||
\(994\) | 36.4938 | − | 14.5202i | 1.15751 | − | 0.460552i | ||||
\(995\) | 28.9258 | + | 33.3822i | 0.917011 | + | 1.05829i | ||||
\(996\) | −2.01999 | + | 5.04569i | −0.0640059 | + | 0.159879i | ||||
\(997\) | 45.5939 | − | 11.0610i | 1.44397 | − | 0.350304i | 0.564176 | − | 0.825654i | \(-0.309194\pi\) |
0.879797 | + | 0.475350i | \(0.157679\pi\) | |||||||
\(998\) | −37.2251 | − | 19.1908i | −1.17834 | − | 0.607476i | ||||
\(999\) | 3.85781 | + | 3.03381i | 0.122056 | + | 0.0959856i |
(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 | 966.2.be.a.19.9 | ✓ | 320 | |
7.3 | odd | 6 | inner | 966.2.be.a.157.9 | yes | 320 | |
23.17 | odd | 22 | inner | 966.2.be.a.523.9 | yes | 320 | |
161.17 | even | 66 | inner | 966.2.be.a.661.9 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.be.a.19.9 | ✓ | 320 | 1.1 | even | 1 | trivial | |
966.2.be.a.157.9 | yes | 320 | 7.3 | odd | 6 | inner | |
966.2.be.a.523.9 | yes | 320 | 23.17 | odd | 22 | inner | |
966.2.be.a.661.9 | yes | 320 | 161.17 | even | 66 | inner |