Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.51 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.51 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.934495 | − | 2.38105i | 0.660788 | − | 1.68366i | −0.0669077 | − | 0.997759i | \(-0.521313\pi\) |
0.727695 | − | 0.685900i | \(-0.240591\pi\) | |||||||
\(3\) | 1.38401 | − | 1.04140i | 0.799060 | − | 0.601252i | ||||
\(4\) | −3.33003 | − | 3.08982i | −1.66502 | − | 1.54491i | ||||
\(5\) | −2.46811 | + | 1.18858i | −1.10377 | + | 0.531550i | −0.894843 | − | 0.446381i | \(-0.852713\pi\) |
−0.208931 | + | 0.977930i | \(0.566998\pi\) | |||||||
\(6\) | −1.18627 | − | 4.26859i | −0.484294 | − | 1.74264i | ||||
\(7\) | −2.60520 | + | 0.461460i | −0.984672 | + | 0.174415i | ||||
\(8\) | −5.85981 | + | 2.82193i | −2.07176 | + | 0.997705i | ||||
\(9\) | 0.830978 | − | 2.88262i | 0.276993 | − | 0.960872i | ||||
\(10\) | 0.523636 | + | 6.98744i | 0.165588 | + | 2.20962i | ||||
\(11\) | −0.789505 | − | 0.990008i | −0.238045 | − | 0.298499i | 0.648431 | − | 0.761273i | \(-0.275425\pi\) |
−0.886476 | + | 0.462775i | \(0.846854\pi\) | |||||||
\(12\) | −7.82654 | − | 0.808455i | −2.25933 | − | 0.233381i | ||||
\(13\) | 0.630568 | − | 1.60666i | 0.174888 | − | 0.445608i | −0.816372 | − | 0.577526i | \(-0.804018\pi\) |
0.991261 | + | 0.131918i | \(0.0421136\pi\) | |||||||
\(14\) | −1.33578 | + | 6.63435i | −0.357003 | + | 1.77310i | ||||
\(15\) | −2.17811 | + | 4.21530i | −0.562386 | + | 1.08839i | ||||
\(16\) | 0.564266 | + | 7.52961i | 0.141067 | + | 1.88240i | ||||
\(17\) | 3.06742 | − | 2.84615i | 0.743960 | − | 0.690294i | −0.214116 | − | 0.976808i | \(-0.568687\pi\) |
0.958076 | + | 0.286515i | \(0.0924967\pi\) | |||||||
\(18\) | −6.08712 | − | 4.67239i | −1.43475 | − | 1.10129i | ||||
\(19\) | 2.28979 | − | 3.96603i | 0.525314 | − | 0.909870i | −0.474252 | − | 0.880389i | \(-0.657281\pi\) |
0.999565 | − | 0.0294808i | \(-0.00938539\pi\) | |||||||
\(20\) | 11.8914 | + | 3.66801i | 2.65900 | + | 0.820193i | ||||
\(21\) | −3.12506 | + | 3.35171i | −0.681944 | + | 0.731404i | ||||
\(22\) | −3.09505 | + | 0.954697i | −0.659867 | + | 0.203542i | ||||
\(23\) | −0.545444 | + | 2.38975i | −0.113733 | + | 0.498297i | 0.885688 | + | 0.464280i | \(0.153687\pi\) |
−0.999421 | + | 0.0340164i | \(0.989170\pi\) | |||||||
\(24\) | −5.17129 | + | 10.0080i | −1.05558 | + | 2.04287i | ||||
\(25\) | 1.56141 | − | 1.95795i | 0.312282 | − | 0.391590i | ||||
\(26\) | −3.23629 | − | 3.00283i | −0.634688 | − | 0.588904i | ||||
\(27\) | −1.85187 | − | 4.85495i | −0.356392 | − | 0.934336i | ||||
\(28\) | 10.1012 | + | 6.51292i | 1.90895 | + | 1.23083i | ||||
\(29\) | 3.60928 | + | 1.11332i | 0.670227 | + | 0.206738i | 0.611149 | − | 0.791516i | \(-0.290708\pi\) |
0.0590779 | + | 0.998253i | \(0.481184\pi\) | |||||||
\(30\) | 8.00142 | + | 9.12538i | 1.46085 | + | 1.66606i | ||||
\(31\) | 2.18376 | − | 3.78239i | 0.392215 | − | 0.679337i | −0.600526 | − | 0.799605i | \(-0.705042\pi\) |
0.992741 | + | 0.120268i | \(0.0383755\pi\) | |||||||
\(32\) | 6.02582 | + | 1.85872i | 1.06522 | + | 0.328578i | ||||
\(33\) | −2.12368 | − | 0.547993i | −0.369685 | − | 0.0953934i | ||||
\(34\) | −3.91035 | − | 9.96342i | −0.670620 | − | 1.70871i | ||||
\(35\) | 5.88144 | − | 4.23542i | 0.994145 | − | 0.715917i | ||||
\(36\) | −11.6740 | + | 7.03164i | −1.94566 | + | 1.17194i | ||||
\(37\) | −11.3572 | − | 3.50323i | −1.86711 | − | 0.575928i | −0.996464 | − | 0.0840214i | \(-0.973224\pi\) |
−0.870648 | − | 0.491906i | \(-0.836300\pi\) | |||||||
\(38\) | −7.30354 | − | 9.15835i | −1.18479 | − | 1.48568i | ||||
\(39\) | −0.800461 | − | 2.88031i | −0.128176 | − | 0.461219i | ||||
\(40\) | 11.1086 | − | 13.9297i | 1.75642 | − | 2.20248i | ||||
\(41\) | 8.81603 | + | 6.01066i | 1.37683 | + | 0.938708i | 0.999922 | + | 0.0124581i | \(0.00396564\pi\) |
0.376910 | + | 0.926250i | \(0.376987\pi\) | |||||||
\(42\) | 5.06026 | + | 10.5731i | 0.780815 | + | 1.63146i | ||||
\(43\) | 7.19749 | − | 4.90717i | 1.09761 | − | 0.748336i | 0.127700 | − | 0.991813i | \(-0.459240\pi\) |
0.969907 | + | 0.243477i | \(0.0782881\pi\) | |||||||
\(44\) | −0.429868 | + | 5.73619i | −0.0648050 | + | 0.864763i | ||||
\(45\) | 1.37527 | + | 8.10231i | 0.205014 | + | 1.20782i | ||||
\(46\) | 5.18040 | + | 3.53194i | 0.763809 | + | 0.520756i | ||||
\(47\) | 0.446730 | − | 1.13825i | 0.0651622 | − | 0.166031i | −0.894584 | − | 0.446901i | \(-0.852528\pi\) |
0.959746 | + | 0.280870i | \(0.0906230\pi\) | |||||||
\(48\) | 8.62228 | + | 9.83344i | 1.24452 | + | 1.41934i | ||||
\(49\) | 6.57411 | − | 2.40439i | 0.939159 | − | 0.343484i | ||||
\(50\) | −3.20285 | − | 5.54750i | −0.452951 | − | 0.784535i | ||||
\(51\) | 1.28137 | − | 7.13352i | 0.179428 | − | 0.998893i | ||||
\(52\) | −7.06411 | + | 3.40190i | −0.979616 | + | 0.471758i | ||||
\(53\) | −6.86210 | + | 2.11668i | −0.942582 | + | 0.290748i | −0.727703 | − | 0.685893i | \(-0.759412\pi\) |
−0.214879 | + | 0.976641i | \(0.568936\pi\) | |||||||
\(54\) | −13.2905 | − | 0.127530i | −1.80860 | − | 0.0173547i | ||||
\(55\) | 3.12529 | + | 1.50506i | 0.421414 | + | 0.202942i | ||||
\(56\) | 13.9638 | − | 10.0558i | 1.86598 | − | 1.34376i | ||||
\(57\) | −0.961124 | − | 7.87362i | −0.127304 | − | 1.04289i | ||||
\(58\) | 6.02372 | − | 7.55350i | 0.790953 | − | 0.991824i | ||||
\(59\) | −5.14706 | + | 3.50921i | −0.670090 | + | 0.456860i | −0.849972 | − | 0.526828i | \(-0.823381\pi\) |
0.179881 | + | 0.983688i | \(0.442429\pi\) | |||||||
\(60\) | 20.2777 | − | 7.30712i | 2.61784 | − | 0.943345i | ||||
\(61\) | 9.90427 | − | 9.18981i | 1.26811 | − | 1.17664i | 0.292709 | − | 0.956201i | \(-0.405443\pi\) |
0.975402 | − | 0.220434i | \(-0.0707473\pi\) | |||||||
\(62\) | −6.96535 | − | 8.73427i | −0.884601 | − | 1.10925i | ||||
\(63\) | −0.834652 | + | 7.89325i | −0.105156 | + | 0.994456i | ||||
\(64\) | 0.641211 | − | 0.804053i | 0.0801514 | − | 0.100507i | ||||
\(65\) | 0.353333 | + | 4.71490i | 0.0438256 | + | 0.584812i | ||||
\(66\) | −3.28937 | + | 4.54449i | −0.404893 | + | 0.559388i | ||||
\(67\) | −2.03582 | + | 3.52615i | −0.248715 | + | 0.430788i | −0.963170 | − | 0.268894i | \(-0.913342\pi\) |
0.714454 | + | 0.699682i | \(0.246675\pi\) | |||||||
\(68\) | −19.0087 | −2.30515 | ||||||||
\(69\) | 1.73378 | + | 3.87546i | 0.208722 | + | 0.466551i | ||||
\(70\) | −4.58859 | − | 17.9620i | −0.548442 | − | 2.14687i | ||||
\(71\) | −2.44254 | + | 10.7015i | −0.289876 | + | 1.27003i | 0.594820 | + | 0.803859i | \(0.297223\pi\) |
−0.884695 | + | 0.466169i | \(0.845634\pi\) | |||||||
\(72\) | 3.26518 | + | 19.2365i | 0.384805 | + | 2.26705i | ||||
\(73\) | 15.7031 | + | 2.36686i | 1.83791 | + | 0.277020i | 0.973987 | − | 0.226605i | \(-0.0727627\pi\) |
0.863922 | + | 0.503625i | \(0.168001\pi\) | |||||||
\(74\) | −18.9546 | + | 23.7684i | −2.20343 | + | 2.76302i | ||||
\(75\) | 0.122008 | − | 4.33588i | 0.0140883 | − | 0.500664i | ||||
\(76\) | −19.8794 | + | 6.13199i | −2.28032 | + | 0.703387i | ||||
\(77\) | 2.51367 | + | 2.21484i | 0.286459 | + | 0.252405i | ||||
\(78\) | −7.60620 | − | 0.785695i | −0.861233 | − | 0.0889625i | ||||
\(79\) | 1.41382 | + | 2.44882i | 0.159068 | + | 0.275513i | 0.934533 | − | 0.355877i | \(-0.115818\pi\) |
−0.775465 | + | 0.631391i | \(0.782485\pi\) | |||||||
\(80\) | −10.3422 | − | 17.9133i | −1.15630 | − | 2.00276i | ||||
\(81\) | −7.61895 | − | 4.79078i | −0.846550 | − | 0.532309i | ||||
\(82\) | 22.5503 | − | 15.3745i | 2.49026 | − | 1.69783i | ||||
\(83\) | 4.15171 | + | 10.5784i | 0.455709 | + | 1.16113i | 0.955503 | + | 0.294983i | \(0.0953140\pi\) |
−0.499794 | + | 0.866145i | \(0.666591\pi\) | |||||||
\(84\) | 20.7628 | − | 1.50545i | 2.26540 | − | 0.164258i | ||||
\(85\) | −4.18787 | + | 10.6705i | −0.454238 | + | 1.15738i | ||||
\(86\) | −4.95821 | − | 21.7233i | −0.534657 | − | 2.34249i | ||||
\(87\) | 6.15469 | − | 2.21786i | 0.659852 | − | 0.237779i | ||||
\(88\) | 7.42009 | + | 3.57332i | 0.790984 | + | 0.380918i | ||||
\(89\) | −5.94456 | − | 15.1465i | −0.630122 | − | 1.60552i | −0.786335 | − | 0.617801i | \(-0.788024\pi\) |
0.156213 | − | 0.987723i | \(-0.450071\pi\) | |||||||
\(90\) | 20.5772 | + | 4.29696i | 2.16903 | + | 0.452940i | ||||
\(91\) | −0.901345 | + | 4.47665i | −0.0944867 | + | 0.469281i | ||||
\(92\) | 9.20024 | − | 6.27262i | 0.959191 | − | 0.653965i | ||||
\(93\) | −0.916619 | − | 7.50903i | −0.0950490 | − | 0.778650i | ||||
\(94\) | −2.29277 | − | 2.12738i | −0.236481 | − | 0.219422i | ||||
\(95\) | −0.937511 | + | 12.5102i | −0.0961866 | + | 1.28352i | ||||
\(96\) | 10.2755 | − | 3.70279i | 1.04874 | − | 0.377914i | ||||
\(97\) | −4.17076 | + | 7.22397i | −0.423477 | + | 0.733483i | −0.996277 | − | 0.0862119i | \(-0.972524\pi\) |
0.572800 | + | 0.819695i | \(0.305857\pi\) | |||||||
\(98\) | 0.418498 | − | 17.9002i | 0.0422747 | − | 1.80819i | ||||
\(99\) | −3.50987 | + | 1.45316i | −0.352756 | + | 0.146049i | ||||
\(100\) | −11.2493 | + | 1.69555i | −1.12493 | + | 0.169555i | ||||
\(101\) | −1.92307 | + | 0.926101i | −0.191352 | + | 0.0921505i | −0.527107 | − | 0.849799i | \(-0.676723\pi\) |
0.335754 | + | 0.941950i | \(0.391009\pi\) | |||||||
\(102\) | −15.7879 | − | 9.71725i | −1.56323 | − | 0.962151i | ||||
\(103\) | −7.65229 | + | 3.68515i | −0.754003 | + | 0.363109i | −0.771074 | − | 0.636746i | \(-0.780280\pi\) |
0.0170712 | + | 0.999854i | \(0.494566\pi\) | |||||||
\(104\) | 0.838886 | + | 11.1941i | 0.0822595 | + | 1.09768i | ||||
\(105\) | 3.72922 | − | 11.9868i | 0.363935 | − | 1.16979i | ||||
\(106\) | −1.37267 | + | 18.3171i | −0.133326 | + | 1.77911i | ||||
\(107\) | 2.81943 | + | 7.18380i | 0.272565 | + | 0.694484i | 0.999966 | + | 0.00827116i | \(0.00263282\pi\) |
−0.727401 | + | 0.686213i | \(0.759272\pi\) | |||||||
\(108\) | −8.83415 | + | 21.8891i | −0.850067 | + | 2.10628i | ||||
\(109\) | −0.498152 | + | 1.26927i | −0.0477143 | + | 0.121574i | −0.952744 | − | 0.303774i | \(-0.901753\pi\) |
0.905030 | + | 0.425348i | \(0.139848\pi\) | |||||||
\(110\) | 6.50420 | − | 6.03502i | 0.620151 | − | 0.575416i | ||||
\(111\) | −19.3668 | + | 6.97886i | −1.83821 | + | 0.662404i | ||||
\(112\) | −4.94463 | − | 19.3557i | −0.467224 | − | 1.82895i | ||||
\(113\) | 10.1162 | + | 1.52477i | 0.951651 | + | 0.143438i | 0.606477 | − | 0.795101i | \(-0.292582\pi\) |
0.345173 | + | 0.938539i | \(0.387820\pi\) | |||||||
\(114\) | −19.6457 | − | 5.06937i | −1.83999 | − | 0.474790i | ||||
\(115\) | −1.49419 | − | 6.54647i | −0.139334 | − | 0.610462i | ||||
\(116\) | −8.57908 | − | 14.8594i | −0.796548 | − | 1.37966i | ||||
\(117\) | −4.10740 | − | 3.15279i | −0.379729 | − | 0.291475i | ||||
\(118\) | 3.54571 | + | 15.5348i | 0.326409 | + | 1.43009i | ||||
\(119\) | −6.67786 | + | 8.83028i | −0.612159 | + | 0.809471i | ||||
\(120\) | 0.868018 | − | 30.8473i | 0.0792388 | − | 2.81596i | ||||
\(121\) | 2.09093 | − | 9.16097i | 0.190085 | − | 0.832816i | ||||
\(122\) | −12.6260 | − | 32.1704i | −1.14310 | − | 2.91257i | ||||
\(123\) | 18.4610 | − | 0.862165i | 1.66457 | − | 0.0777388i | ||||
\(124\) | −18.9589 | + | 5.84804i | −1.70256 | + | 0.525170i | ||||
\(125\) | 1.52131 | − | 6.66528i | 0.136070 | − | 0.596161i | ||||
\(126\) | 18.0143 | + | 9.36355i | 1.60484 | + | 0.834171i | ||||
\(127\) | −3.75226 | − | 16.4397i | −0.332960 | − | 1.45879i | −0.813370 | − | 0.581747i | \(-0.802369\pi\) |
0.480410 | − | 0.877044i | \(-0.340488\pi\) | |||||||
\(128\) | 4.99069 | + | 8.64413i | 0.441119 | + | 0.764040i | ||||
\(129\) | 4.85110 | − | 14.2870i | 0.427115 | − | 1.25790i | ||||
\(130\) | 11.5566 | + | 3.56475i | 1.01358 | + | 0.312649i | ||||
\(131\) | −0.418349 | − | 0.201466i | −0.0365514 | − | 0.0176022i | 0.415519 | − | 0.909585i | \(-0.363600\pi\) |
−0.452070 | + | 0.891982i | \(0.649314\pi\) | |||||||
\(132\) | 5.37872 | + | 8.38662i | 0.468157 | + | 0.729961i | ||||
\(133\) | −4.13519 | + | 11.3889i | −0.358567 | + | 0.987547i | ||||
\(134\) | 6.49349 | + | 8.14258i | 0.560952 | + | 0.703411i | ||||
\(135\) | 10.3411 | + | 9.78148i | 0.890023 | + | 0.841856i | ||||
\(136\) | −9.94286 | + | 25.3340i | −0.852593 | + | 2.17237i | ||||
\(137\) | 2.03459 | + | 0.979806i | 0.173827 | + | 0.0837105i | 0.518773 | − | 0.854912i | \(-0.326389\pi\) |
−0.344947 | + | 0.938622i | \(0.612103\pi\) | |||||||
\(138\) | 10.8479 | − | 0.506619i | 0.923434 | − | 0.0431262i | ||||
\(139\) | −7.18244 | − | 4.89691i | −0.609207 | − | 0.415350i | 0.219038 | − | 0.975716i | \(-0.429708\pi\) |
−0.828245 | + | 0.560366i | \(0.810660\pi\) | |||||||
\(140\) | −32.6721 | − | 4.06850i | −2.76130 | − | 0.343851i | ||||
\(141\) | −0.567091 | − | 2.04057i | −0.0477577 | − | 0.171847i | ||||
\(142\) | 23.1982 | + | 15.8163i | 1.94675 | + | 1.32727i | ||||
\(143\) | −2.08844 | + | 0.644200i | −0.174644 | + | 0.0538707i | ||||
\(144\) | 22.1739 | + | 4.63038i | 1.84782 | + | 0.385865i | ||||
\(145\) | −10.2314 | + | 1.54213i | −0.849670 | + | 0.128067i | ||||
\(146\) | 20.3101 | − | 35.1781i | 1.68088 | − | 2.91136i | ||||
\(147\) | 6.59472 | − | 10.1740i | 0.543924 | − | 0.839135i | ||||
\(148\) | 26.9955 | + | 46.7576i | 2.21902 | + | 3.84345i | ||||
\(149\) | 2.46809 | + | 3.09489i | 0.202194 | + | 0.253543i | 0.872582 | − | 0.488467i | \(-0.162444\pi\) |
−0.670388 | + | 0.742010i | \(0.733872\pi\) | |||||||
\(150\) | −10.2099 | − | 4.34236i | −0.833638 | − | 0.354552i | ||||
\(151\) | 4.27613 | − | 18.7349i | 0.347986 | − | 1.52463i | −0.433759 | − | 0.901029i | \(-0.642813\pi\) |
0.781745 | − | 0.623598i | \(-0.214330\pi\) | |||||||
\(152\) | −2.22584 | + | 29.7018i | −0.180540 | + | 2.40914i | ||||
\(153\) | −5.65541 | − | 11.2073i | −0.457212 | − | 0.906056i | ||||
\(154\) | 7.62267 | − | 3.91541i | 0.614252 | − | 0.315513i | ||||
\(155\) | −0.894100 | + | 11.9309i | −0.0718158 | + | 0.958316i | ||||
\(156\) | −6.23408 | + | 12.0648i | −0.499126 | + | 0.965958i | ||||
\(157\) | 0.997155 | − | 0.679849i | 0.0795817 | − | 0.0542579i | −0.522876 | − | 0.852409i | \(-0.675141\pi\) |
0.602457 | + | 0.798151i | \(0.294188\pi\) | |||||||
\(158\) | 7.15198 | − | 1.07799i | 0.568981 | − | 0.0857600i | ||||
\(159\) | −7.29292 | + | 10.0757i | −0.578366 | + | 0.799054i | ||||
\(160\) | −17.0816 | + | 2.57464i | −1.35042 | + | 0.203543i | ||||
\(161\) | 0.318218 | − | 6.47746i | 0.0250791 | − | 0.510496i | ||||
\(162\) | −18.5270 | + | 13.6642i | −1.45562 | + | 1.07356i | ||||
\(163\) | 6.09766 | − | 4.15732i | 0.477606 | − | 0.325626i | −0.300476 | − | 0.953789i | \(-0.597145\pi\) |
0.778081 | + | 0.628163i | \(0.216193\pi\) | |||||||
\(164\) | −10.7858 | − | 47.2557i | −0.842229 | − | 3.69005i | ||||
\(165\) | 5.89281 | − | 1.17165i | 0.458755 | − | 0.0912130i | ||||
\(166\) | 29.0674 | 2.25607 | ||||||||
\(167\) | 2.47143 | − | 2.29315i | 0.191245 | − | 0.177449i | −0.578739 | − | 0.815513i | \(-0.696455\pi\) |
0.769984 | + | 0.638064i | \(0.220264\pi\) | |||||||
\(168\) | 8.85394 | − | 28.4591i | 0.683096 | − | 2.19567i | ||||
\(169\) | 7.34593 | + | 6.81603i | 0.565072 | + | 0.524310i | ||||
\(170\) | 21.4935 | + | 19.9431i | 1.64848 | + | 1.52956i | ||||
\(171\) | −9.52978 | − | 9.89627i | −0.728761 | − | 0.756787i | ||||
\(172\) | −39.1302 | − | 5.89792i | −2.98365 | − | 0.449712i | ||||
\(173\) | 6.38607 | − | 1.96984i | 0.485524 | − | 0.149764i | −0.0423228 | − | 0.999104i | \(-0.513476\pi\) |
0.527847 | + | 0.849340i | \(0.323000\pi\) | |||||||
\(174\) | 0.470690 | − | 16.7272i | 0.0356829 | − | 1.26809i | ||||
\(175\) | −3.16427 | + | 5.82137i | −0.239197 | + | 0.440054i | ||||
\(176\) | 7.00888 | − | 6.50329i | 0.528314 | − | 0.490204i | ||||
\(177\) | −3.46911 | + | 10.2169i | −0.260754 | + | 0.767951i | ||||
\(178\) | −41.6198 | −3.11953 | ||||||||
\(179\) | 2.01480 | − | 1.86946i | 0.150593 | − | 0.139730i | −0.601279 | − | 0.799039i | \(-0.705342\pi\) |
0.751872 | + | 0.659310i | \(0.229151\pi\) | |||||||
\(180\) | 20.4550 | − | 31.2303i | 1.52462 | − | 2.32777i | ||||
\(181\) | −0.200412 | + | 0.251309i | −0.0148965 | + | 0.0186796i | −0.789224 | − | 0.614105i | \(-0.789517\pi\) |
0.774327 | + | 0.632785i | \(0.218088\pi\) | |||||||
\(182\) | 9.81685 | + | 6.32956i | 0.727673 | + | 0.469178i | ||||
\(183\) | 4.13736 | − | 23.0331i | 0.305843 | − | 1.70266i | ||||
\(184\) | −3.54751 | − | 15.5427i | −0.261526 | − | 1.14582i | ||||
\(185\) | 32.1947 | − | 4.85258i | 2.36700 | − | 0.356768i | ||||
\(186\) | −18.7360 | − | 4.83463i | −1.37379 | − | 0.354493i | ||||
\(187\) | −5.23946 | − | 0.789722i | −0.383147 | − | 0.0577502i | ||||
\(188\) | −5.00461 | + | 2.41009i | −0.364999 | + | 0.175774i | ||||
\(189\) | 7.06485 | + | 11.7936i | 0.513892 | + | 0.857855i | ||||
\(190\) | 28.9114 | + | 13.9230i | 2.09745 | + | 1.01008i | ||||
\(191\) | −16.4947 | − | 11.2459i | −1.19351 | − | 0.813723i | −0.207150 | − | 0.978309i | \(-0.566419\pi\) |
−0.986363 | + | 0.164586i | \(0.947371\pi\) | |||||||
\(192\) | 0.0501039 | − | 1.78058i | 0.00361593 | − | 0.128502i | ||||
\(193\) | −1.64250 | + | 21.9177i | −0.118230 | + | 1.57767i | 0.550931 | + | 0.834551i | \(0.314273\pi\) |
−0.669161 | + | 0.743118i | \(0.733346\pi\) | |||||||
\(194\) | 13.3031 | + | 16.6816i | 0.955108 | + | 1.19767i | ||||
\(195\) | 5.39911 | + | 6.15752i | 0.386638 | + | 0.440949i | ||||
\(196\) | −29.3211 | − | 12.3061i | −2.09437 | − | 0.879009i | ||||
\(197\) | 5.08592 | 0.362357 | 0.181178 | − | 0.983450i | \(-0.442009\pi\) | ||||
0.181178 | + | 0.983450i | \(0.442009\pi\) | |||||||
\(198\) | 0.180105 | + | 9.71518i | 0.0127995 | + | 0.690427i | ||||
\(199\) | −0.0755656 | − | 0.0515198i | −0.00535670 | − | 0.00365214i | 0.560639 | − | 0.828061i | \(-0.310556\pi\) |
−0.565995 | + | 0.824408i | \(0.691508\pi\) | |||||||
\(200\) | −3.62437 | + | 15.8794i | −0.256282 | + | 1.12284i | ||||
\(201\) | 0.854523 | + | 7.00034i | 0.0602734 | + | 0.493766i | ||||
\(202\) | 0.407999 | + | 5.44437i | 0.0287067 | + | 0.383064i | ||||
\(203\) | −9.91664 | − | 1.23487i | −0.696012 | − | 0.0866709i | ||||
\(204\) | −26.3083 | + | 19.7957i | −1.84195 | + | 1.38597i | ||||
\(205\) | −28.9031 | − | 4.35644i | −2.01868 | − | 0.304267i | ||||
\(206\) | 1.62351 | + | 21.6643i | 0.113115 | + | 1.50942i | ||||
\(207\) | 6.43547 | + | 3.55813i | 0.447296 | + | 0.247307i | ||||
\(208\) | 12.4533 | + | 3.84135i | 0.863484 | + | 0.266349i | ||||
\(209\) | −5.73420 | + | 0.864292i | −0.396643 | + | 0.0597843i | ||||
\(210\) | −25.0563 | − | 20.0811i | −1.72905 | − | 1.38573i | ||||
\(211\) | −8.53983 | − | 1.28717i | −0.587906 | − | 0.0886126i | −0.151649 | − | 0.988434i | \(-0.548458\pi\) |
−0.436257 | + | 0.899822i | \(0.643696\pi\) | |||||||
\(212\) | 29.3912 | + | 14.1540i | 2.01859 | + | 0.972104i | ||||
\(213\) | 7.76398 | + | 17.3546i | 0.531979 | + | 1.18912i | ||||
\(214\) | 19.7398 | 1.34938 | ||||||||
\(215\) | −11.9317 | + | 20.6662i | −0.813733 | + | 1.40943i | ||||
\(216\) | 24.5520 | + | 23.2232i | 1.67055 | + | 1.58014i | ||||
\(217\) | −3.94371 | + | 10.8616i | −0.267717 | + | 0.737332i | ||||
\(218\) | 2.55668 | + | 2.37226i | 0.173160 | + | 0.160669i | ||||
\(219\) | 24.1981 | − | 13.0774i | 1.63516 | − | 0.883690i | ||||
\(220\) | −5.75696 | − | 14.6685i | −0.388134 | − | 0.988950i | ||||
\(221\) | −2.63859 | − | 6.72300i | −0.177490 | − | 0.452238i | ||||
\(222\) | −1.48110 | + | 52.6350i | −0.0994052 | + | 3.53263i | ||||
\(223\) | 18.9225 | + | 17.5575i | 1.26715 | + | 1.17574i | 0.975690 | + | 0.219154i | \(0.0703298\pi\) |
0.291455 | + | 0.956585i | \(0.405861\pi\) | |||||||
\(224\) | −16.5562 | − | 2.06166i | −1.10621 | − | 0.137750i | ||||
\(225\) | −4.34652 | − | 6.12796i | −0.289768 | − | 0.408531i | ||||
\(226\) | 13.0841 | − | 22.6623i | 0.870340 | − | 1.50747i | ||||
\(227\) | −13.5259 | −0.897744 | −0.448872 | − | 0.893596i | \(-0.648174\pi\) | ||||
−0.448872 | + | 0.893596i | \(0.648174\pi\) | |||||||
\(228\) | −21.1275 | + | 29.1891i | −1.39920 | + | 1.93310i | ||||
\(229\) | 0.956163 | + | 0.460464i | 0.0631850 | + | 0.0304283i | 0.465209 | − | 0.885201i | \(-0.345979\pi\) |
−0.402024 | + | 0.915629i | \(0.631693\pi\) | |||||||
\(230\) | −16.9838 | − | 2.55990i | −1.11988 | − | 0.168795i | ||||
\(231\) | 5.78548 | + | 0.447640i | 0.380656 | + | 0.0294526i | ||||
\(232\) | −24.2914 | + | 3.66134i | −1.59481 | + | 0.240379i | ||||
\(233\) | −15.5992 | − | 4.81170i | −1.02193 | − | 0.315225i | −0.261891 | − | 0.965097i | \(-0.584346\pi\) |
−0.760044 | + | 0.649872i | \(0.774822\pi\) | |||||||
\(234\) | −11.3453 | + | 6.83368i | −0.741665 | + | 0.446732i | ||||
\(235\) | 0.250321 | + | 3.34030i | 0.0163291 | + | 0.217897i | ||||
\(236\) | 27.9827 | + | 4.21772i | 1.82152 | + | 0.274550i | ||||
\(237\) | 4.50694 | + | 1.91684i | 0.292757 | + | 0.124512i | ||||
\(238\) | 14.7850 | + | 24.1522i | 0.958366 | + | 1.56555i | ||||
\(239\) | 1.82284 | + | 24.3241i | 0.117910 | + | 1.57339i | 0.671755 | + | 0.740774i | \(0.265541\pi\) |
−0.553845 | + | 0.832620i | \(0.686840\pi\) | |||||||
\(240\) | −32.9686 | − | 14.0218i | −2.12811 | − | 0.905102i | ||||
\(241\) | 0.367972 | − | 1.61219i | 0.0237032 | − | 0.103850i | −0.961693 | − | 0.274130i | \(-0.911610\pi\) |
0.985396 | + | 0.170280i | \(0.0544672\pi\) | |||||||
\(242\) | −19.8588 | − | 13.5395i | −1.27657 | − | 0.870353i | ||||
\(243\) | −15.5338 | + | 1.30387i | −0.996496 | + | 0.0836430i | ||||
\(244\) | −61.3764 | −3.92922 | ||||||||
\(245\) | −13.3678 | + | 13.7482i | −0.854040 | + | 0.878338i | ||||
\(246\) | 15.1988 | − | 44.7623i | 0.969042 | − | 2.85394i | ||||
\(247\) | −4.92820 | − | 6.17977i | −0.313574 | − | 0.393209i | ||||
\(248\) | −2.12278 | + | 28.3265i | −0.134796 | + | 1.79873i | ||||
\(249\) | 16.7623 | + | 10.3170i | 1.06227 | + | 0.653814i | ||||
\(250\) | −14.4487 | − | 9.85098i | −0.913819 | − | 0.623031i | ||||
\(251\) | 9.20853 | + | 4.43459i | 0.581237 | + | 0.279909i | 0.701310 | − | 0.712856i | \(-0.252599\pi\) |
−0.120073 | + | 0.992765i | \(0.538313\pi\) | |||||||
\(252\) | 27.1681 | − | 23.7059i | 1.71143 | − | 1.49333i | ||||
\(253\) | 2.79650 | − | 1.34672i | 0.175814 | − | 0.0846678i | ||||
\(254\) | −42.6504 | − | 6.42851i | −2.67612 | − | 0.403361i | ||||
\(255\) | 5.31620 | + | 19.1294i | 0.332913 | + | 1.19793i | ||||
\(256\) | 27.2798 | − | 4.11177i | 1.70499 | − | 0.256985i | ||||
\(257\) | −0.203961 | − | 0.893611i | −0.0127227 | − | 0.0557419i | 0.968168 | − | 0.250301i | \(-0.0805296\pi\) |
−0.980891 | + | 0.194559i | \(0.937672\pi\) | |||||||
\(258\) | −29.4849 | − | 24.9019i | −1.83565 | − | 1.55032i | ||||
\(259\) | 31.2043 | + | 3.88572i | 1.93894 | + | 0.241447i | ||||
\(260\) | 13.3916 | − | 16.7925i | 0.830512 | − | 1.04143i | ||||
\(261\) | 6.20849 | − | 9.47903i | 0.384296 | − | 0.586737i | ||||
\(262\) | −0.870648 | + | 0.807843i | −0.0537888 | + | 0.0499087i | ||||
\(263\) | 5.84602 | 0.360481 | 0.180241 | − | 0.983623i | \(-0.442312\pi\) | ||||
0.180241 | + | 0.983623i | \(0.442312\pi\) | |||||||
\(264\) | 13.9907 | − | 2.78174i | 0.861071 | − | 0.171204i | ||||
\(265\) | 14.4206 | − | 13.3804i | 0.885851 | − | 0.821949i | ||||
\(266\) | 23.2534 | + | 20.4890i | 1.42576 | + | 1.25626i | ||||
\(267\) | −24.0009 | − | 14.7723i | −1.46883 | − | 0.904048i | ||||
\(268\) | 17.6745 | − | 5.45187i | 1.07964 | − | 0.333026i | ||||
\(269\) | 31.8830 | + | 4.80559i | 1.94394 | + | 0.293002i | 0.999376 | − | 0.0353200i | \(-0.0112451\pi\) |
0.944566 | + | 0.328322i | \(0.106483\pi\) | |||||||
\(270\) | 32.9540 | − | 15.4820i | 2.00552 | − | 0.942207i | ||||
\(271\) | −1.08008 | − | 1.00217i | −0.0656103 | − | 0.0608775i | 0.646686 | − | 0.762756i | \(-0.276154\pi\) |
−0.712296 | + | 0.701879i | \(0.752345\pi\) | |||||||
\(272\) | 23.1613 | + | 21.4905i | 1.40436 | + | 1.30305i | ||||
\(273\) | 3.41451 | + | 7.13440i | 0.206655 | + | 0.431794i | ||||
\(274\) | 4.23428 | − | 3.92884i | 0.255802 | − | 0.237350i | ||||
\(275\) | −3.17113 | −0.191226 | ||||||||
\(276\) | 6.20095 | − | 18.2625i | 0.373253 | − | 1.09927i | ||||
\(277\) | 2.88527 | + | 12.6412i | 0.173359 | + | 0.759537i | 0.984600 | + | 0.174824i | \(0.0559356\pi\) |
−0.811240 | + | 0.584713i | \(0.801207\pi\) | |||||||
\(278\) | −18.3718 | + | 12.5256i | −1.10186 | + | 0.751238i | ||||
\(279\) | −9.08851 | − | 9.43803i | −0.544115 | − | 0.565040i | ||||
\(280\) | −22.5120 | + | 41.4158i | −1.34535 | + | 2.47507i | ||||
\(281\) | −17.8643 | + | 2.69261i | −1.06569 | + | 0.160627i | −0.658399 | − | 0.752669i | \(-0.728766\pi\) |
−0.407295 | + | 0.913297i | \(0.633528\pi\) | |||||||
\(282\) | −5.38866 | − | 0.556630i | −0.320890 | − | 0.0331469i | ||||
\(283\) | −13.6176 | + | 2.05253i | −0.809484 | + | 0.122010i | −0.540727 | − | 0.841198i | \(-0.681851\pi\) |
−0.268757 | + | 0.963208i | \(0.586613\pi\) | |||||||
\(284\) | 41.1993 | − | 28.0892i | 2.44473 | − | 1.66679i | ||||
\(285\) | 11.7306 | + | 18.2906i | 0.694861 | + | 1.08344i | ||||
\(286\) | −0.417766 | + | 5.57470i | −0.0247030 | + | 0.329639i | ||||
\(287\) | −25.7412 | − | 11.5907i | −1.51945 | − | 0.684179i | ||||
\(288\) | 10.3653 | − | 15.8256i | 0.610781 | − | 0.932531i | ||||
\(289\) | 0.0380882 | − | 0.508252i | 0.00224048 | − | 0.0298972i | ||||
\(290\) | −5.88927 | + | 25.8026i | −0.345830 | + | 1.51518i | ||||
\(291\) | 1.75065 | + | 14.3415i | 0.102625 | + | 0.840713i | ||||
\(292\) | −44.9787 | − | 56.4015i | −2.63218 | − | 3.30065i | ||||
\(293\) | 0.637319 | + | 1.10387i | 0.0372326 | + | 0.0644888i | 0.884041 | − | 0.467409i | \(-0.154812\pi\) |
−0.846809 | + | 0.531898i | \(0.821479\pi\) | |||||||
\(294\) | −18.0620 | − | 25.2099i | −1.05340 | − | 1.47027i | ||||
\(295\) | 8.53256 | − | 14.7788i | 0.496785 | − | 0.860456i | ||||
\(296\) | 76.4369 | − | 11.5210i | 4.44280 | − | 0.669645i | ||||
\(297\) | −3.34438 | + | 5.66638i | −0.194061 | + | 0.328796i | ||||
\(298\) | 9.67551 | − | 2.98450i | 0.560487 | − | 0.172887i | ||||
\(299\) | 3.49558 | + | 2.38324i | 0.202154 | + | 0.137826i | ||||
\(300\) | −13.8034 | + | 14.0616i | −0.796938 | + | 0.811849i | ||||
\(301\) | −16.4864 | + | 16.1055i | −0.950262 | + | 0.928305i | ||||
\(302\) | −40.6129 | − | 27.6894i | −2.33701 | − | 1.59335i | ||||
\(303\) | −1.69711 | + | 3.28442i | −0.0974964 | + | 0.188685i | ||||
\(304\) | 31.1547 | + | 15.0033i | 1.78685 | + | 0.860500i | ||||
\(305\) | −13.5220 | + | 34.4535i | −0.774268 | + | 1.97280i | ||||
\(306\) | −31.9701 | + | 2.99267i | −1.82761 | + | 0.171079i | ||||
\(307\) | −10.5666 | − | 13.2501i | −0.603069 | − | 0.756225i | 0.382784 | − | 0.923838i | \(-0.374965\pi\) |
−0.985853 | + | 0.167613i | \(0.946394\pi\) | |||||||
\(308\) | −1.52713 | − | 15.1423i | −0.0870162 | − | 0.862811i | ||||
\(309\) | −6.75315 | + | 13.0694i | −0.384173 | + | 0.743491i | ||||
\(310\) | 27.5727 | + | 13.2783i | 1.56602 | + | 0.754157i | ||||
\(311\) | 17.3977 | + | 5.36649i | 0.986535 | + | 0.304306i | 0.745716 | − | 0.666264i | \(-0.232108\pi\) |
0.240819 | + | 0.970570i | \(0.422584\pi\) | |||||||
\(312\) | 12.8186 | + | 14.6192i | 0.725710 | + | 0.827651i | ||||
\(313\) | 4.32196 | + | 7.48585i | 0.244292 | + | 0.423125i | 0.961932 | − | 0.273288i | \(-0.0881113\pi\) |
−0.717641 | + | 0.696414i | \(0.754778\pi\) | |||||||
\(314\) | −0.686921 | − | 3.00960i | −0.0387652 | − | 0.169841i | ||||
\(315\) | −7.32175 | − | 20.4735i | −0.412534 | − | 1.15355i | ||||
\(316\) | 2.85832 | − | 12.5231i | 0.160793 | − | 0.704480i | ||||
\(317\) | 31.9586 | − | 9.85793i | 1.79497 | − | 0.553676i | 0.796288 | − | 0.604917i | \(-0.206794\pi\) |
0.998686 | + | 0.0512407i | \(0.0163176\pi\) | |||||||
\(318\) | 17.1756 | + | 26.7805i | 0.963158 | + | 1.50178i | ||||
\(319\) | −1.74735 | − | 4.45218i | −0.0978330 | − | 0.249274i | ||||
\(320\) | −0.626899 | + | 2.74663i | −0.0350447 | + | 0.153541i | ||||
\(321\) | 11.3833 | + | 7.00631i | 0.635355 | + | 0.391054i | ||||
\(322\) | −15.1258 | − | 6.81085i | −0.842929 | − | 0.379554i | ||||
\(323\) | −4.26418 | − | 18.6826i | −0.237265 | − | 1.03953i | ||||
\(324\) | 10.5687 | + | 39.4947i | 0.587151 | + | 2.19415i | ||||
\(325\) | −2.16118 | − | 3.74328i | −0.119881 | − | 0.207640i | ||||
\(326\) | −4.20056 | − | 18.4039i | −0.232647 | − | 1.01930i | ||||
\(327\) | 0.632369 | + | 2.27546i | 0.0349701 | + | 0.125833i | ||||
\(328\) | −68.6219 | − | 10.3431i | −3.78901 | − | 0.571102i | ||||
\(329\) | −0.638564 | + | 3.17151i | −0.0352052 | + | 0.174851i | ||||
\(330\) | 2.71704 | − | 15.1260i | 0.149568 | − | 0.832659i | ||||
\(331\) | 8.95146 | − | 8.30574i | 0.492017 | − | 0.456525i | −0.394719 | − | 0.918802i | \(-0.629158\pi\) |
0.886735 | + | 0.462277i | \(0.152968\pi\) | |||||||
\(332\) | 18.8600 | − | 48.0544i | 1.03507 | − | 2.63733i | ||||
\(333\) | −19.5361 | + | 29.8273i | −1.07057 | + | 1.63453i | ||||
\(334\) | −3.15058 | − | 8.02755i | −0.172392 | − | 0.439248i | ||||
\(335\) | 0.833530 | − | 11.1227i | 0.0455406 | − | 0.607697i | ||||
\(336\) | −27.0005 | − | 21.6392i | −1.47300 | − | 1.18052i | ||||
\(337\) | −1.90482 | − | 25.4181i | −0.103762 | − | 1.38461i | −0.769606 | − | 0.638519i | \(-0.779547\pi\) |
0.665844 | − | 0.746091i | \(-0.268072\pi\) | |||||||
\(338\) | 23.0941 | − | 11.1215i | 1.25615 | − | 0.604931i | ||||
\(339\) | 15.5888 | − | 8.42468i | 0.846668 | − | 0.457566i | ||||
\(340\) | 46.9157 | − | 22.5934i | 2.54436 | − | 1.22530i | ||||
\(341\) | −5.46868 | + | 0.824271i | −0.296146 | + | 0.0446368i | ||||
\(342\) | −32.4691 | + | 13.4429i | −1.75573 | + | 0.726910i | ||||
\(343\) | −16.0173 | + | 9.29759i | −0.864855 | + | 0.502023i | ||||
\(344\) | −28.3282 | + | 49.0659i | −1.52735 | + | 2.64546i | ||||
\(345\) | −8.88546 | − | 7.50435i | −0.478377 | − | 0.404021i | ||||
\(346\) | 1.27745 | − | 17.0464i | 0.0686761 | − | 0.916419i | ||||
\(347\) | −8.22024 | − | 7.62727i | −0.441285 | − | 0.409453i | 0.427988 | − | 0.903784i | \(-0.359223\pi\) |
−0.869274 | + | 0.494331i | \(0.835413\pi\) | |||||||
\(348\) | −27.3481 | − | 11.6314i | −1.46601 | − | 0.623506i | ||||
\(349\) | 9.91491 | − | 6.75987i | 0.530733 | − | 0.361848i | −0.268109 | − | 0.963389i | \(-0.586399\pi\) |
0.798842 | + | 0.601541i | \(0.205446\pi\) | |||||||
\(350\) | 10.9040 | + | 12.9743i | 0.582844 | + | 0.693508i | ||||
\(351\) | −8.96800 | − | 0.0860536i | −0.478676 | − | 0.00459320i | ||||
\(352\) | −2.91727 | − | 7.43308i | −0.155491 | − | 0.396184i | ||||
\(353\) | −9.19798 | − | 4.42951i | −0.489559 | − | 0.235759i | 0.172784 | − | 0.984960i | \(-0.444724\pi\) |
−0.662343 | + | 0.749201i | \(0.730438\pi\) | |||||||
\(354\) | 21.0852 | + | 17.8078i | 1.12067 | + | 0.946474i | ||||
\(355\) | −6.69108 | − | 29.3156i | −0.355126 | − | 1.55591i | ||||
\(356\) | −27.0043 | + | 68.8059i | −1.43123 | + | 3.64671i | ||||
\(357\) | −0.0463941 | + | 19.1755i | −0.00245544 | + | 1.01488i | ||||
\(358\) | −2.56846 | − | 6.54434i | −0.135748 | − | 0.345879i | ||||
\(359\) | −8.24740 | + | 5.62299i | −0.435281 | + | 0.296770i | −0.761066 | − | 0.648674i | \(-0.775324\pi\) |
0.325785 | + | 0.945444i | \(0.394371\pi\) | |||||||
\(360\) | −30.9230 | − | 43.5970i | −1.62979 | − | 2.29777i | ||||
\(361\) | −0.986274 | − | 1.70828i | −0.0519092 | − | 0.0899093i | ||||
\(362\) | 0.411096 | + | 0.712039i | 0.0216067 | + | 0.0374239i | ||||
\(363\) | −6.64635 | − | 14.8564i | −0.348843 | − | 0.779758i | ||||
\(364\) | 16.8336 | − | 12.1224i | 0.882319 | − | 0.635387i | ||||
\(365\) | −41.5702 | + | 12.8227i | −2.17589 | + | 0.671172i | ||||
\(366\) | −50.9767 | − | 31.3756i | −2.66460 | − | 1.64003i | ||||
\(367\) | 13.1791 | − | 16.5260i | 0.687942 | − | 0.862652i | −0.308117 | − | 0.951348i | \(-0.599699\pi\) |
0.996059 | + | 0.0886968i | \(0.0282702\pi\) | |||||||
\(368\) | −18.3016 | − | 2.75853i | −0.954039 | − | 0.143798i | ||||
\(369\) | 24.6524 | − | 20.4185i | 1.28335 | − | 1.06294i | ||||
\(370\) | 18.5316 | − | 81.1921i | 0.963410 | − | 4.22098i | ||||
\(371\) | 16.9004 | − | 8.68095i | 0.877423 | − | 0.450692i | ||||
\(372\) | −20.1492 | + | 27.8375i | −1.04469 | + | 1.44331i | ||||
\(373\) | 16.2562 | 0.841712 | 0.420856 | − | 0.907127i | \(-0.361730\pi\) | ||||
0.420856 | + | 0.907127i | \(0.361730\pi\) | |||||||
\(374\) | −6.77662 | + | 11.7374i | −0.350411 | + | 0.606929i | ||||
\(375\) | −4.83571 | − | 10.8091i | −0.249715 | − | 0.558180i | ||||
\(376\) | 0.594314 | + | 7.93056i | 0.0306494 | + | 0.408988i | ||||
\(377\) | 4.06462 | − | 5.09687i | 0.209338 | − | 0.262502i | ||||
\(378\) | 34.6832 | − | 5.80077i | 1.78391 | − | 0.298360i | ||||
\(379\) | −18.2145 | − | 22.8402i | −0.935615 | − | 1.17322i | −0.984670 | − | 0.174428i | \(-0.944192\pi\) |
0.0490545 | − | 0.998796i | \(-0.484379\pi\) | |||||||
\(380\) | 41.7763 | − | 38.7627i | 2.14308 | − | 1.98849i | ||||
\(381\) | −22.3135 | − | 18.8452i | −1.14316 | − | 0.965469i | ||||
\(382\) | −42.1912 | + | 28.7655i | −2.15869 | + | 1.47177i | ||||
\(383\) | −8.47805 | + | 10.6311i | −0.433208 | + | 0.543226i | −0.949739 | − | 0.313043i | \(-0.898652\pi\) |
0.516531 | + | 0.856268i | \(0.327223\pi\) | |||||||
\(384\) | 15.9092 | + | 6.76628i | 0.811861 | + | 0.345290i | ||||
\(385\) | −8.83653 | − | 2.47879i | −0.450351 | − | 0.126331i | ||||
\(386\) | 50.6523 | + | 24.3928i | 2.57813 | + | 1.24156i | ||||
\(387\) | −8.16452 | − | 24.8253i | −0.415026 | − | 1.26194i | ||||
\(388\) | 36.2096 | − | 11.1692i | 1.83826 | − | 0.567029i | ||||
\(389\) | 2.62809 | − | 1.26562i | 0.133249 | − | 0.0641695i | −0.366071 | − | 0.930587i | \(-0.619297\pi\) |
0.499320 | + | 0.866417i | \(0.333583\pi\) | |||||||
\(390\) | 19.7068 | − | 7.10140i | 0.997895 | − | 0.359594i | ||||
\(391\) | 5.12848 | + | 8.88279i | 0.259358 | + | 0.449222i | ||||
\(392\) | −31.7380 | + | 32.6410i | −1.60301 | + | 1.64862i | ||||
\(393\) | −0.788807 | + | 0.156836i | −0.0397901 | + | 0.00791135i | ||||
\(394\) | 4.75277 | − | 12.1099i | 0.239441 | − | 0.610086i | ||||
\(395\) | −6.40010 | − | 4.36351i | −0.322024 | − | 0.219552i | ||||
\(396\) | 16.1780 | + | 6.00579i | 0.812976 | + | 0.301802i | ||||
\(397\) | −1.49889 | + | 20.0013i | −0.0752272 | + | 1.00384i | 0.824067 | + | 0.566492i | \(0.191700\pi\) |
−0.899294 | + | 0.437344i | \(0.855919\pi\) | |||||||
\(398\) | −0.193287 | + | 0.131781i | −0.00968860 | + | 0.00660558i | ||||
\(399\) | 6.13727 | + | 20.0688i | 0.307248 | + | 1.00470i | ||||
\(400\) | 15.6236 | + | 10.6520i | 0.781182 | + | 0.532601i | ||||
\(401\) | 6.48973 | − | 8.13787i | 0.324082 | − | 0.406386i | −0.592925 | − | 0.805258i | \(-0.702027\pi\) |
0.917007 | + | 0.398872i | \(0.130598\pi\) | |||||||
\(402\) | 17.4667 | + | 4.50711i | 0.871161 | + | 0.224794i | ||||
\(403\) | −4.70000 | − | 5.89362i | −0.234124 | − | 0.293582i | ||||
\(404\) | 9.26537 | + | 2.85799i | 0.460969 | + | 0.142190i | ||||
\(405\) | 24.4987 | + | 2.76845i | 1.21735 | + | 0.137566i | ||||
\(406\) | −12.2073 | + | 22.4581i | −0.605840 | + | 1.11458i | ||||
\(407\) | 5.49834 | + | 14.0095i | 0.272542 | + | 0.694427i | ||||
\(408\) | 12.6217 | + | 45.4170i | 0.624869 | + | 2.24848i | ||||
\(409\) | 12.0690 | + | 3.72279i | 0.596773 | + | 0.184080i | 0.578403 | − | 0.815751i | \(-0.303676\pi\) |
0.0183702 | + | 0.999831i | \(0.494152\pi\) | |||||||
\(410\) | −37.3827 | + | 64.7488i | −1.84620 | + | 3.19772i | ||||
\(411\) | 3.83626 | − | 0.762754i | 0.189229 | − | 0.0376239i | ||||
\(412\) | 36.8688 | + | 11.3725i | 1.81640 | + | 0.560284i | ||||
\(413\) | 11.7898 | − | 11.5173i | 0.580136 | − | 0.566731i | ||||
\(414\) | 14.4860 | − | 11.9981i | 0.711949 | − | 0.589677i | ||||
\(415\) | −22.8201 | − | 21.1740i | −1.12020 | − | 1.03939i | ||||
\(416\) | 6.78602 | − | 8.50940i | 0.332712 | − | 0.417208i | ||||
\(417\) | −15.0402 | + | 0.702408i | −0.736522 | + | 0.0343971i | ||||
\(418\) | −3.30066 | + | 14.4611i | −0.161440 | + | 0.707317i | ||||
\(419\) | 7.87515 | − | 2.42916i | 0.384726 | − | 0.118672i | −0.0963578 | − | 0.995347i | \(-0.530719\pi\) |
0.481084 | + | 0.876674i | \(0.340243\pi\) | |||||||
\(420\) | −49.4555 | + | 28.3938i | −2.41318 | + | 1.38548i | ||||
\(421\) | −11.2135 | − | 3.45892i | −0.546514 | − | 0.168577i | 0.00918935 | − | 0.999958i | \(-0.497075\pi\) |
−0.555704 | + | 0.831380i | \(0.687551\pi\) | |||||||
\(422\) | −11.0452 | + | 19.1309i | −0.537674 | + | 0.931279i | ||||
\(423\) | −2.90991 | − | 2.23361i | −0.141485 | − | 0.108602i | ||||
\(424\) | 34.2375 | − | 31.7677i | 1.66272 | − | 1.54278i | ||||
\(425\) | −0.783110 | − | 10.4499i | −0.0379864 | − | 0.506893i | ||||
\(426\) | 48.5776 | − | 2.26867i | 2.35359 | − | 0.109918i | ||||
\(427\) | −21.5618 | + | 28.5117i | −1.04345 | + | 1.37978i | ||||
\(428\) | 12.8078 | − | 32.6338i | 0.619090 | − | 1.57742i | ||||
\(429\) | −2.21956 | + | 3.06648i | −0.107162 | + | 0.148051i | ||||
\(430\) | 38.0574 | + | 47.7224i | 1.83529 | + | 2.30138i | ||||
\(431\) | −0.144017 | − | 1.92177i | −0.00693706 | − | 0.0925686i | 0.992661 | − | 0.120934i | \(-0.0385889\pi\) |
−0.999598 | + | 0.0283653i | \(0.990970\pi\) | |||||||
\(432\) | 35.5110 | − | 16.6833i | 1.70852 | − | 0.802677i | ||||
\(433\) | −23.1074 | + | 11.1279i | −1.11047 | + | 0.534775i | −0.896936 | − | 0.442160i | \(-0.854212\pi\) |
−0.213536 | + | 0.976935i | \(0.568498\pi\) | |||||||
\(434\) | 22.1766 | + | 19.5403i | 1.06451 | + | 0.937964i | ||||
\(435\) | −12.5544 | + | 12.7893i | −0.601936 | + | 0.613199i | ||||
\(436\) | 5.58068 | − | 2.68752i | 0.267266 | − | 0.128709i | ||||
\(437\) | 8.22886 | + | 7.63527i | 0.393640 | + | 0.365244i | ||||
\(438\) | −8.52503 | − | 69.8378i | −0.407341 | − | 3.33698i | ||||
\(439\) | 3.42533 | − | 8.72761i | 0.163482 | − | 0.416546i | −0.825534 | − | 0.564352i | \(-0.809126\pi\) |
0.989016 | + | 0.147806i | \(0.0472212\pi\) | |||||||
\(440\) | −22.5608 | −1.07554 | ||||||||
\(441\) | −1.46798 | − | 20.9486i | −0.0699039 | − | 0.997554i | ||||
\(442\) | −18.4736 | −0.878699 | ||||||||
\(443\) | 1.96559 | − | 5.00823i | 0.0933878 | − | 0.237948i | −0.876546 | − | 0.481319i | \(-0.840158\pi\) |
0.969933 | + | 0.243371i | \(0.0782531\pi\) | |||||||
\(444\) | 86.0554 | + | 36.6000i | 4.08401 | + | 1.73696i | ||||
\(445\) | 32.6747 | + | 30.3177i | 1.54893 | + | 1.43720i | ||||
\(446\) | 59.4884 | − | 28.6481i | 2.81686 | − | 1.35653i | ||||
\(447\) | 6.63888 | + | 1.71310i | 0.314008 | + | 0.0810266i | ||||
\(448\) | −1.29944 | + | 2.39061i | −0.0613929 | + | 0.112946i | ||||
\(449\) | 8.90170 | − | 4.28683i | 0.420097 | − | 0.202308i | −0.211879 | − | 0.977296i | \(-0.567958\pi\) |
0.631976 | + | 0.774988i | \(0.282244\pi\) | |||||||
\(450\) | −18.6528 | + | 4.62274i | −0.879302 | + | 0.217918i | ||||
\(451\) | −1.00969 | − | 13.4734i | −0.0475445 | − | 0.634437i | ||||
\(452\) | −28.9760 | − | 36.3347i | −1.36292 | − | 1.70904i | ||||
\(453\) | −13.5923 | − | 30.3825i | −0.638623 | − | 1.42750i | ||||
\(454\) | −12.6399 | + | 32.2059i | −0.593218 | + | 1.51150i | ||||
\(455\) | −3.09624 | − | 12.1202i | −0.145154 | − | 0.568204i | ||||
\(456\) | 27.8508 | + | 43.4257i | 1.30424 | + | 2.03359i | ||||
\(457\) | 2.49605 | + | 33.3075i | 0.116760 | + | 1.55806i | 0.680898 | + | 0.732379i | \(0.261590\pi\) |
−0.564137 | + | 0.825681i | \(0.690791\pi\) | |||||||
\(458\) | 1.98992 | − | 1.84637i | 0.0929828 | − | 0.0862754i | ||||
\(459\) | −19.4984 | − | 9.62150i | −0.910108 | − | 0.449093i | ||||
\(460\) | −15.2517 | + | 26.4168i | −0.711115 | + | 1.23169i | ||||
\(461\) | 14.5788 | + | 4.49696i | 0.679002 | + | 0.209444i | 0.615026 | − | 0.788507i | \(-0.289146\pi\) |
0.0639761 | + | 0.997951i | \(0.479622\pi\) | |||||||
\(462\) | 6.47235 | − | 13.3572i | 0.301121 | − | 0.621434i | ||||
\(463\) | −19.2085 | + | 5.92502i | −0.892693 | + | 0.275359i | −0.706971 | − | 0.707243i | \(-0.749939\pi\) |
−0.185722 | + | 0.982602i | \(0.559462\pi\) | |||||||
\(464\) | −6.34624 | + | 27.8047i | −0.294617 | + | 1.29080i | ||||
\(465\) | 11.1874 | + | 17.4437i | 0.518804 | + | 0.808931i | ||||
\(466\) | −26.0343 | + | 32.6459i | −1.20601 | + | 1.51229i | ||||
\(467\) | −10.8561 | − | 10.0730i | −0.502359 | − | 0.466121i | 0.387818 | − | 0.921736i | \(-0.373229\pi\) |
−0.890177 | + | 0.455615i | \(0.849419\pi\) | |||||||
\(468\) | 3.93624 | + | 23.1900i | 0.181953 | + | 1.07196i | ||||
\(469\) | 3.67655 | − | 10.1258i | 0.169767 | − | 0.467565i | ||||
\(470\) | 8.18737 | + | 2.52547i | 0.377655 | + | 0.116491i | ||||
\(471\) | 0.672081 | − | 1.97936i | 0.0309679 | − | 0.0912039i | ||||
\(472\) | 20.2580 | − | 35.0880i | 0.932452 | − | 1.61505i | ||||
\(473\) | −10.5406 | − | 3.25134i | −0.484657 | − | 0.149497i | ||||
\(474\) | 8.77581 | − | 8.94001i | 0.403086 | − | 0.410628i | ||||
\(475\) | −4.18998 | − | 10.6759i | −0.192250 | − | 0.489844i | ||||
\(476\) | 49.5215 | − | 8.77176i | 2.26981 | − | 0.402053i | ||||
\(477\) | 0.399314 | + | 21.5397i | 0.0182833 | + | 0.986236i | ||||
\(478\) | 59.6204 | + | 18.3904i | 2.72697 | + | 0.841159i | ||||
\(479\) | −7.46021 | − | 9.35481i | −0.340866 | − | 0.427432i | 0.581622 | − | 0.813460i | \(-0.302418\pi\) |
−0.922487 | + | 0.386027i | \(0.873847\pi\) | |||||||
\(480\) | −20.9600 | + | 21.3521i | −0.956687 | + | 0.974587i | ||||
\(481\) | −12.7900 | + | 16.0381i | −0.583174 | + | 0.731277i | ||||
\(482\) | −3.49484 | − | 2.38274i | −0.159186 | − | 0.108531i | ||||
\(483\) | −6.30520 | − | 9.29628i | −0.286897 | − | 0.422995i | ||||
\(484\) | −35.2686 | + | 24.0458i | −1.60312 | + | 1.09299i | ||||
\(485\) | 1.70764 | − | 22.7869i | 0.0775399 | − | 1.03470i | ||||
\(486\) | −11.4117 | + | 38.2054i | −0.517646 | + | 1.73303i | ||||
\(487\) | 13.9091 | + | 9.48308i | 0.630282 | + | 0.429719i | 0.835876 | − | 0.548918i | \(-0.184960\pi\) |
−0.205594 | + | 0.978637i | \(0.565913\pi\) | |||||||
\(488\) | −32.1040 | + | 81.7997i | −1.45328 | + | 3.70290i | ||||
\(489\) | 4.10981 | − | 12.1039i | 0.185852 | − | 0.547356i | ||||
\(490\) | 20.2429 | + | 44.6771i | 0.914483 | + | 2.01831i | ||||
\(491\) | −5.34540 | − | 9.25850i | −0.241234 | − | 0.417830i | 0.719832 | − | 0.694149i | \(-0.244219\pi\) |
−0.961066 | + | 0.276318i | \(0.910886\pi\) | |||||||
\(492\) | −64.1396 | − | 54.1701i | −2.89164 | − | 2.44218i | ||||
\(493\) | 14.2399 | − | 6.85755i | 0.641331 | − | 0.308849i | ||||
\(494\) | −19.3197 | + | 5.95935i | −0.869237 | + | 0.268124i | ||||
\(495\) | 6.93556 | − | 7.75835i | 0.311730 | − | 0.348712i | ||||
\(496\) | 29.7121 | + | 14.3086i | 1.33411 | + | 0.642475i | ||||
\(497\) | 1.42500 | − | 29.0065i | 0.0639202 | − | 1.30112i | ||||
\(498\) | 40.2297 | − | 30.2708i | 1.80273 | − | 1.35647i | ||||
\(499\) | −18.5823 | + | 23.3015i | −0.831860 | + | 1.04312i | 0.166510 | + | 0.986040i | \(0.446750\pi\) |
−0.998370 | + | 0.0570795i | \(0.981821\pi\) | |||||||
\(500\) | −25.6605 | + | 17.4951i | −1.14757 | + | 0.782402i | ||||
\(501\) | 1.03240 | − | 5.74750i | 0.0461244 | − | 0.256779i | ||||
\(502\) | 19.1643 | − | 17.7819i | 0.855346 | − | 0.793645i | ||||
\(503\) | 1.27665 | + | 1.60087i | 0.0569230 | + | 0.0713792i | 0.809478 | − | 0.587150i | \(-0.199750\pi\) |
−0.752555 | + | 0.658529i | \(0.771179\pi\) | |||||||
\(504\) | −17.3833 | − | 48.6082i | −0.774315 | − | 2.16518i | ||||
\(505\) | 3.64561 | − | 4.57144i | 0.162227 | − | 0.203427i | ||||
\(506\) | −0.593306 | − | 7.91712i | −0.0263757 | − | 0.351959i | ||||
\(507\) | 17.2651 | + | 1.78342i | 0.766768 | + | 0.0792045i | ||||
\(508\) | −38.3007 | + | 66.3387i | −1.69932 | + | 2.94331i | ||||
\(509\) | 29.7574 | 1.31897 | 0.659486 | − | 0.751716i | \(-0.270774\pi\) | ||||
0.659486 | + | 0.751716i | \(0.270774\pi\) | |||||||
\(510\) | 50.5160 | + | 5.21813i | 2.23689 | + | 0.231063i | ||||
\(511\) | −42.0019 | + | 1.08020i | −1.85805 | + | 0.0477854i | ||||
\(512\) | 11.2604 | − | 49.3348i | 0.497642 | − | 2.18031i | ||||
\(513\) | −23.4953 | − | 3.77225i | −1.03734 | − | 0.166549i | ||||
\(514\) | −2.31834 | − | 0.349433i | −0.102257 | − | 0.0154128i | ||||
\(515\) | 14.5066 | − | 18.1907i | 0.639238 | − | 0.801580i | ||||
\(516\) | −60.2987 | + | 32.5873i | −2.65450 | + | 1.43458i | ||||
\(517\) | −1.47957 | + | 0.456387i | −0.0650715 | + | 0.0200719i | ||||
\(518\) | 38.4124 | − | 70.6681i | 1.68775 | − | 3.10498i | ||||
\(519\) | 6.78700 | − | 9.37673i | 0.297916 | − | 0.411593i | ||||
\(520\) | −15.3756 | − | 26.6314i | −0.674265 | − | 1.16786i | ||||
\(521\) | 13.6885 | + | 23.7093i | 0.599706 | + | 1.03872i | 0.992864 | + | 0.119251i | \(0.0380492\pi\) |
−0.393158 | + | 0.919471i | \(0.628617\pi\) | |||||||
\(522\) | −16.7683 | − | 23.6409i | −0.733927 | − | 1.03473i | ||||
\(523\) | −23.5474 | + | 16.0544i | −1.02966 | + | 0.702008i | −0.955425 | − | 0.295233i | \(-0.904603\pi\) |
−0.0742319 | + | 0.997241i | \(0.523651\pi\) | |||||||
\(524\) | 0.770623 | + | 1.96351i | 0.0336648 | + | 0.0857765i | ||||
\(525\) | 1.68298 | + | 11.3521i | 0.0734511 | + | 0.495447i | ||||
\(526\) | 5.46308 | − | 13.9197i | 0.238201 | − | 0.606927i | ||||
\(527\) | −4.06673 | − | 17.8175i | −0.177149 | − | 0.776142i | ||||
\(528\) | 2.92786 | − | 16.2997i | 0.127419 | − | 0.709352i | ||||
\(529\) | 15.3089 | + | 7.37238i | 0.665604 | + | 0.320538i | ||||
\(530\) | −18.3834 | − | 46.8401i | −0.798523 | − | 2.03460i | ||||
\(531\) | 5.83860 | + | 17.7531i | 0.253374 | + | 0.770418i | ||||
\(532\) | 48.9601 | − | 25.1486i | 2.12269 | − | 1.09033i | ||||
\(533\) | 15.2162 | − | 10.3742i | 0.659087 | − | 0.449358i | ||||
\(534\) | −57.6023 | + | 43.3428i | −2.49269 | + | 1.87562i | ||||
\(535\) | −15.4972 | − | 14.3793i | −0.670003 | − | 0.621672i | ||||
\(536\) | 1.97897 | − | 26.4075i | 0.0854785 | − | 1.14063i | ||||
\(537\) | 0.841652 | − | 4.68556i | 0.0363200 | − | 0.202197i | ||||
\(538\) | 41.2369 | − | 71.4244i | 1.77785 | − | 3.07932i | ||||
\(539\) | −7.57065 | − | 4.61015i | −0.326091 | − | 0.198573i | ||||
\(540\) | −4.21329 | − | 64.5249i | −0.181311 | − | 2.77671i | ||||
\(541\) | −25.8789 | + | 3.90061i | −1.11262 | + | 0.167700i | −0.679528 | − | 0.733650i | \(-0.737815\pi\) |
−0.433092 | + | 0.901350i | \(0.642577\pi\) | |||||||
\(542\) | −3.39555 | + | 1.63521i | −0.145851 | + | 0.0702383i | ||||
\(543\) | −0.0156601 | + | 0.556523i | −0.000672038 | + | 0.0238827i | ||||
\(544\) | 23.7739 | − | 11.4489i | 1.01930 | − | 0.490869i | ||||
\(545\) | −0.279135 | − | 3.72480i | −0.0119568 | − | 0.159553i | ||||
\(546\) | 20.1782 | − | 1.46306i | 0.863549 | − | 0.0626134i | ||||
\(547\) | −0.280042 | + | 3.73690i | −0.0119737 | + | 0.159778i | 0.988012 | + | 0.154379i | \(0.0493377\pi\) |
−0.999985 | + | 0.00539929i | \(0.998281\pi\) | |||||||
\(548\) | −3.74782 | − | 9.54930i | −0.160099 | − | 0.407926i | ||||
\(549\) | −18.2605 | − | 36.1867i | −0.779338 | − | 1.54441i | ||||
\(550\) | −2.96340 | + | 7.55063i | −0.126360 | + | 0.321960i | ||||
\(551\) | 12.6799 | − | 11.7653i | 0.540184 | − | 0.501217i | ||||
\(552\) | −21.0959 | − | 17.8169i | −0.897902 | − | 0.758336i | ||||
\(553\) | −4.81332 | − | 5.72723i | −0.204683 | − | 0.243547i | ||||
\(554\) | 32.7957 | + | 4.94315i | 1.39335 | + | 0.210014i | ||||
\(555\) | 39.5044 | − | 40.2436i | 1.67687 | − | 1.70824i | ||||
\(556\) | 8.78722 | + | 38.4993i | 0.372661 | + | 1.63273i | ||||
\(557\) | 7.24310 | + | 12.5454i | 0.306900 | + | 0.531566i | 0.977683 | − | 0.210088i | \(-0.0673750\pi\) |
−0.670783 | + | 0.741654i | \(0.734042\pi\) | |||||||
\(558\) | −30.9656 | + | 12.8204i | −1.31088 | + | 0.542733i | ||||
\(559\) | −3.34565 | − | 14.6582i | −0.141506 | − | 0.619977i | ||||
\(560\) | 35.2098 | + | 41.8951i | 1.48788 | + | 1.77039i | ||||
\(561\) | −8.07389 | + | 4.36338i | −0.340880 | + | 0.184222i | ||||
\(562\) | −10.2828 | + | 45.0520i | −0.433755 | + | 1.90040i | ||||
\(563\) | 0.553839 | + | 1.41116i | 0.0233415 | + | 0.0594733i | 0.942069 | − | 0.335418i | \(-0.108878\pi\) |
−0.918728 | + | 0.394891i | \(0.870782\pi\) | |||||||
\(564\) | −4.41657 | + | 8.54739i | −0.185971 | + | 0.359910i | ||||
\(565\) | −26.7802 | + | 8.26060i | −1.12665 | + | 0.347526i | ||||
\(566\) | −7.83843 | + | 34.3424i | −0.329474 | + | 1.44352i | ||||
\(567\) | 22.0596 | + | 8.96510i | 0.926417 | + | 0.376499i | ||||
\(568\) | −15.8860 | − | 69.6011i | −0.666562 | − | 2.92040i | ||||
\(569\) | −13.5734 | − | 23.5098i | −0.569026 | − | 0.985581i | −0.996663 | − | 0.0816309i | \(-0.973987\pi\) |
0.427637 | − | 0.903951i | \(-0.359346\pi\) | |||||||
\(570\) | 54.5131 | − | 10.8387i | 2.28330 | − | 0.453983i | ||||
\(571\) | −1.91127 | − | 0.589549i | −0.0799842 | − | 0.0246719i | 0.254505 | − | 0.967072i | \(-0.418088\pi\) |
−0.334489 | + | 0.942400i | \(0.608564\pi\) | |||||||
\(572\) | 8.94505 | + | 4.30771i | 0.374011 | + | 0.180114i | ||||
\(573\) | −34.5403 | + | 1.61310i | −1.44294 | + | 0.0673882i | ||||
\(574\) | −51.6532 | + | 50.4596i | −2.15596 | + | 2.10614i | ||||
\(575\) | 3.82734 | + | 4.79933i | 0.159611 | + | 0.200146i | ||||
\(576\) | −1.78494 | − | 2.51652i | −0.0743727 | − | 0.104855i | ||||
\(577\) | −8.82800 | + | 22.4934i | −0.367514 | + | 0.936411i | 0.620798 | + | 0.783970i | \(0.286809\pi\) |
−0.988313 | + | 0.152441i | \(0.951287\pi\) | |||||||
\(578\) | −1.17458 | − | 0.565649i | −0.0488562 | − | 0.0235279i | ||||
\(579\) | 20.5518 | + | 32.0448i | 0.854103 | + | 1.33174i | ||||
\(580\) | 38.8358 | + | 26.4778i | 1.61257 | + | 1.09943i | ||||
\(581\) | −15.6975 | − | 25.6429i | −0.651242 | − | 1.06385i | ||||
\(582\) | 35.7838 | + | 9.23366i | 1.48329 | + | 0.382747i | ||||
\(583\) | 7.51319 | + | 5.12241i | 0.311165 | + | 0.212148i | ||||
\(584\) | −98.6963 | + | 30.4438i | −4.08408 | + | 1.25977i | ||||
\(585\) | 13.8849 | + | 2.89946i | 0.574069 | + | 0.119878i | ||||
\(586\) | 3.22395 | − | 0.485932i | 0.133180 | − | 0.0200736i | ||||
\(587\) | 2.78046 | − | 4.81591i | 0.114762 | − | 0.198774i | −0.802923 | − | 0.596083i | \(-0.796723\pi\) |
0.917685 | + | 0.397310i | \(0.130056\pi\) | |||||||
\(588\) | −53.3964 | + | 13.5032i | −2.20203 | + | 0.556861i | ||||
\(589\) | −10.0007 | − | 17.3217i | −0.412072 | − | 0.713730i | ||||
\(590\) | −27.2155 | − | 34.1272i | −1.12045 | − | 1.40500i | ||||
\(591\) | 7.03898 | − | 5.29647i | 0.289545 | − | 0.217868i | ||||
\(592\) | 19.9695 | − | 87.4920i | 0.820741 | − | 3.59590i | ||||
\(593\) | −1.76156 | + | 23.5064i | −0.0723388 | + | 0.965294i | 0.836452 | + | 0.548041i | \(0.184626\pi\) |
−0.908790 | + | 0.417253i | \(0.862993\pi\) | |||||||
\(594\) | 10.3666 | + | 13.2584i | 0.425348 | + | 0.543997i | ||||
\(595\) | 5.98621 | − | 29.7313i | 0.245411 | − | 1.21887i | ||||
\(596\) | 1.34382 | − | 17.9320i | 0.0550450 | − | 0.734525i | ||||
\(597\) | −0.158236 | + | 0.00738995i | −0.00647618 | + | 0.000302451i | ||||
\(598\) | 8.94123 | − | 6.09603i | 0.365634 | − | 0.249285i | ||||
\(599\) | −42.3830 | + | 6.38821i | −1.73172 | + | 0.261015i | −0.937843 | − | 0.347059i | \(-0.887180\pi\) |
−0.793880 | + | 0.608074i | \(0.791942\pi\) | |||||||
\(600\) | 11.5206 | + | 25.7517i | 0.470327 | + | 1.05131i | ||||
\(601\) | 39.1370 | − | 5.89895i | 1.59643 | − | 0.240623i | 0.710245 | − | 0.703955i | \(-0.248584\pi\) |
0.886185 | + | 0.463332i | \(0.153346\pi\) | |||||||
\(602\) | 22.9416 | + | 54.3056i | 0.935028 | + | 2.21333i | ||||
\(603\) | 8.47281 | + | 8.79865i | 0.345040 | + | 0.358309i | ||||
\(604\) | −72.1272 | + | 49.1755i | −2.93482 | + | 2.00092i | ||||
\(605\) | 5.72790 | + | 25.0956i | 0.232872 | + | 1.02028i | ||||
\(606\) | 6.23443 | + | 7.11018i | 0.253256 | + | 0.288831i | ||||
\(607\) | 19.7347 | 0.801008 | 0.400504 | − | 0.916295i | \(-0.368835\pi\) | ||||
0.400504 | + | 0.916295i | \(0.368835\pi\) | |||||||
\(608\) | 21.1696 | − | 19.6425i | 0.858541 | − | 0.796609i | ||||
\(609\) | −15.0107 | + | 8.61810i | −0.608266 | + | 0.349223i | ||||
\(610\) | 69.3995 | + | 64.3933i | 2.80990 | + | 2.60721i | ||||
\(611\) | −1.54709 | − | 1.43549i | −0.0625884 | − | 0.0580736i | ||||
\(612\) | −15.7958 | + | 54.7949i | −0.638509 | + | 2.21495i | ||||
\(613\) | −31.8704 | − | 4.80370i | −1.28723 | − | 0.194019i | −0.530468 | − | 0.847705i | \(-0.677984\pi\) |
−0.756767 | + | 0.653685i | \(0.773222\pi\) | |||||||
\(614\) | −41.4237 | + | 12.7775i | −1.67173 | + | 0.515659i | ||||
\(615\) | −44.5391 | + | 24.0703i | −1.79599 | + | 0.970608i | ||||
\(616\) | −20.9797 | − | 5.88515i | −0.845298 | − | 0.237119i | ||||
\(617\) | −8.27643 | + | 7.67940i | −0.333196 | + | 0.309161i | −0.828973 | − | 0.559289i | \(-0.811074\pi\) |
0.495776 | + | 0.868450i | \(0.334884\pi\) | |||||||
\(618\) | 24.8081 | + | 28.2929i | 0.997928 | + | 1.13811i | ||||
\(619\) | −11.7450 | −0.472070 | −0.236035 | − | 0.971745i | \(-0.575848\pi\) | ||||
−0.236035 | + | 0.971745i | \(0.575848\pi\) | |||||||
\(620\) | 39.8418 | − | 36.9678i | 1.60009 | − | 1.48466i | ||||
\(621\) | 12.6122 | − | 1.77739i | 0.506110 | − | 0.0713243i | ||||
\(622\) | 29.0360 | − | 36.4100i | 1.16424 | − | 1.45991i | ||||
\(623\) | 22.4762 | + | 36.7164i | 0.900491 | + | 1.47101i | ||||
\(624\) | 21.2359 | − | 7.65242i | 0.850118 | − | 0.306342i | ||||
\(625\) | 6.95378 | + | 30.4665i | 0.278151 | + | 1.21866i | ||||
\(626\) | 21.8631 | − | 3.29533i | 0.873824 | − | 0.131708i | ||||
\(627\) | −7.03613 | + | 7.16778i | −0.280996 | + | 0.286254i | ||||
\(628\) | −5.42117 | − | 0.817111i | −0.216328 | − | 0.0326063i | ||||
\(629\) | −44.8081 | + | 21.5784i | −1.78662 | + | 0.860388i | ||||
\(630\) | −55.5906 | − | 1.69889i | −2.21478 | − | 0.0676852i | ||||
\(631\) | 19.6090 | + | 9.44322i | 0.780624 | + | 0.375929i | 0.781368 | − | 0.624071i | \(-0.214522\pi\) |
−0.000743749 | 1.00000i | \(0.500237\pi\) | ||||||||
\(632\) | −15.1951 | − | 10.3599i | −0.604430 | − | 0.412094i | ||||
\(633\) | −13.1597 | + | 7.11190i | −0.523050 | + | 0.282673i | ||||
\(634\) | 6.39290 | − | 85.3074i | 0.253895 | − | 3.38799i | ||||
\(635\) | 28.8010 | + | 36.1153i | 1.14293 | + | 1.43319i | ||||
\(636\) | 55.4178 | − | 11.0186i | 2.19746 | − | 0.436915i | ||||
\(637\) | 0.282389 | − | 12.0785i | 0.0111887 | − | 0.478568i | ||||
\(638\) | −12.2338 | −0.484340 | ||||||||
\(639\) | 28.8185 | + | 15.9336i | 1.14004 | + | 0.630322i | ||||
\(640\) | −22.5918 | − | 15.4029i | −0.893021 | − | 0.608851i | ||||
\(641\) | −2.60583 | + | 11.4169i | −0.102924 | + | 0.450939i | 0.897036 | + | 0.441958i | \(0.145716\pi\) |
−0.999960 | + | 0.00898126i | \(0.997141\pi\) | |||||||
\(642\) | 27.3201 | − | 20.5570i | 1.07824 | − | 0.811318i | ||||
\(643\) | −0.483662 | − | 6.45402i | −0.0190738 | − | 0.254522i | −0.998587 | − | 0.0531419i | \(-0.983076\pi\) |
0.979513 | − | 0.201380i | \(-0.0645426\pi\) | |||||||
\(644\) | −21.0739 | + | 20.5869i | −0.830427 | + | 0.811239i | ||||
\(645\) | 5.00823 | + | 41.0279i | 0.197199 | + | 1.61547i | ||||
\(646\) | −48.4691 | − | 7.30555i | −1.90699 | − | 0.287433i | ||||
\(647\) | −2.37955 | − | 31.7529i | −0.0935499 | − | 1.24834i | −0.824483 | − | 0.565887i | \(-0.808534\pi\) |
0.730933 | − | 0.682449i | \(-0.239085\pi\) | |||||||
\(648\) | 58.1649 | + | 6.57288i | 2.28493 | + | 0.258207i | ||||
\(649\) | 7.53777 | + | 2.32510i | 0.295884 | + | 0.0912680i | ||||
\(650\) | −10.9326 | + | 1.64782i | −0.428811 | + | 0.0646328i | ||||
\(651\) | 5.85309 | + | 19.1395i | 0.229401 | + | 0.750137i | ||||
\(652\) | −33.1508 | − | 4.99668i | −1.29828 | − | 0.195685i | ||||
\(653\) | −40.8883 | − | 19.6908i | −1.60008 | − | 0.770559i | −0.600505 | − | 0.799621i | \(-0.705034\pi\) |
−0.999578 | + | 0.0290615i | \(0.990748\pi\) | |||||||
\(654\) | 6.00894 | + | 0.620703i | 0.234968 | + | 0.0242714i | ||||
\(655\) | 1.27199 | 0.0497009 | ||||||||
\(656\) | −40.2834 | + | 69.7728i | −1.57280 | + | 2.72417i | ||||
\(657\) | 19.8717 | − | 43.2992i | 0.775268 | − | 1.68926i | ||||
\(658\) | 6.95481 | + | 4.48422i | 0.271127 | + | 0.174813i | ||||
\(659\) | −0.751942 | − | 0.697700i | −0.0292915 | − | 0.0271785i | 0.665391 | − | 0.746495i | \(-0.268265\pi\) |
−0.694683 | + | 0.719316i | \(0.744455\pi\) | |||||||
\(660\) | −23.2435 | − | 14.3061i | −0.904751 | − | 0.556864i | ||||
\(661\) | −8.93272 | − | 22.7602i | −0.347443 | − | 0.885269i | −0.992623 | − | 0.121239i | \(-0.961313\pi\) |
0.645181 | − | 0.764030i | \(-0.276782\pi\) | |||||||
\(662\) | −11.4113 | − | 29.0756i | −0.443514 | − | 1.13005i | ||||
\(663\) | −10.6532 | − | 6.55690i | −0.413734 | − | 0.254649i | ||||
\(664\) | −54.1797 | − | 50.2714i | −2.10258 | − | 1.95091i | ||||
\(665\) | −3.33056 | − | 33.0242i | −0.129153 | − | 1.28062i | ||||
\(666\) | 52.7642 | + | 74.3899i | 2.04457 | + | 2.88255i | ||||
\(667\) | −4.62920 | + | 8.01802i | −0.179243 | + | 0.310459i | ||||
\(668\) | −15.3154 | −0.592570 | ||||||||
\(669\) | 44.4734 | + | 4.59395i | 1.71944 | + | 0.177612i | ||||
\(670\) | −25.7048 | − | 12.3788i | −0.993062 | − | 0.478234i | ||||
\(671\) | −16.9175 | − | 2.54990i | −0.653091 | − | 0.0984377i | ||||
\(672\) | −25.0610 | + | 14.3882i | −0.966747 | + | 0.555037i | ||||
\(673\) | 11.7003 | − | 1.76354i | 0.451015 | − | 0.0679795i | 0.0803926 | − | 0.996763i | \(-0.474383\pi\) |
0.370622 | + | 0.928784i | \(0.379144\pi\) | |||||||
\(674\) | −62.3018 | − | 19.2176i | −2.39978 | − | 0.740233i | ||||
\(675\) | −12.3973 | − | 3.95472i | −0.477172 | − | 0.152217i | ||||
\(676\) | −3.40190 | − | 45.3952i | −0.130842 | − | 1.74597i | ||||
\(677\) | 38.5687 | + | 5.81330i | 1.48232 | + | 0.223423i | 0.839820 | − | 0.542865i | \(-0.182660\pi\) |
0.642497 | + | 0.766288i | \(0.277898\pi\) | |||||||
\(678\) | −5.49196 | − | 44.9906i | −0.210917 | − | 1.72786i | ||||
\(679\) | 7.53209 | − | 20.7445i | 0.289055 | − | 0.796101i | ||||
\(680\) | −5.57139 | − | 74.3450i | −0.213653 | − | 2.85100i | ||||
\(681\) | −18.7200 | + | 14.0858i | −0.717351 | + | 0.539770i | ||||
\(682\) | −3.14782 | + | 13.7915i | −0.120536 | + | 0.528104i | ||||
\(683\) | −36.2921 | − | 24.7436i | −1.38868 | − | 0.946786i | −0.999674 | − | 0.0255514i | \(-0.991866\pi\) |
−0.389007 | − | 0.921235i | \(-0.627182\pi\) | |||||||
\(684\) | 1.15681 | + | 62.4002i | 0.0442316 | + | 2.38593i | ||||
\(685\) | −6.18617 | −0.236361 | ||||||||
\(686\) | 7.16995 | + | 46.8267i | 0.273750 | + | 1.78785i | ||||
\(687\) | 1.80287 | − | 0.358459i | 0.0687837 | − | 0.0136761i | ||||
\(688\) | 41.0103 | + | 51.4253i | 1.56350 | + | 1.96057i | ||||
\(689\) | −0.926238 | + | 12.3598i | −0.0352868 | + | 0.470870i | ||||
\(690\) | −26.1717 | + | 14.1440i | −0.996339 | + | 0.538453i | ||||
\(691\) | −28.8466 | − | 19.6673i | −1.09738 | − | 0.748179i | −0.127515 | − | 0.991837i | \(-0.540700\pi\) |
−0.969861 | + | 0.243658i | \(0.921653\pi\) | |||||||
\(692\) | −27.3523 | − | 13.1722i | −1.03978 | − | 0.500731i | ||||
\(693\) | 8.47334 | − | 5.40545i | 0.321876 | − | 0.205336i | ||||
\(694\) | −25.8427 | + | 12.4452i | −0.980976 | + | 0.472413i | ||||
\(695\) | 23.5474 | + | 3.54921i | 0.893206 | + | 0.134629i | ||||
\(696\) | −29.8067 | + | 30.3644i | −1.12982 | + | 1.15096i | ||||
\(697\) | 44.1498 | − | 6.65451i | 1.67229 | − | 0.252057i | ||||
\(698\) | −6.83019 | − | 29.9250i | −0.258526 | − | 1.13268i | ||||
\(699\) | −26.6003 | + | 9.58549i | −1.00612 | + | 0.362556i | ||||
\(700\) | 28.5241 | − | 9.60834i | 1.07811 | − | 0.363161i | ||||
\(701\) | 2.76566 | − | 3.46803i | 0.104457 | − | 0.130986i | −0.726855 | − | 0.686791i | \(-0.759019\pi\) |
0.831312 | + | 0.555806i | \(0.187590\pi\) | |||||||
\(702\) | −8.58545 | + | 21.2729i | −0.324037 | + | 0.802893i | ||||
\(703\) | −39.8995 | + | 37.0214i | −1.50484 | + | 1.39629i | ||||
\(704\) | −1.30226 | −0.0490807 | ||||||||
\(705\) | 3.82503 | + | 4.36233i | 0.144059 | + | 0.164295i | ||||
\(706\) | −19.1424 | + | 17.7615i | −0.720433 | + | 0.668464i | ||||
\(707\) | 4.58261 | − | 3.30009i | 0.172347 | − | 0.124113i | ||||
\(708\) | 43.1207 | − | 23.3038i | 1.62058 | − | 0.875810i | ||||
\(709\) | −16.3651 | + | 5.04796i | −0.614604 | + | 0.189580i | −0.586399 | − | 0.810022i | \(-0.699455\pi\) |
−0.0282043 | + | 0.999602i | \(0.508979\pi\) | |||||||
\(710\) | −76.0547 | − | 11.4634i | −2.85428 | − | 0.430214i | ||||
\(711\) | 8.23385 | − | 2.04060i | 0.308794 | − | 0.0765285i | ||||
\(712\) | 77.5764 | + | 71.9803i | 2.90730 | + | 2.69758i | ||||
\(713\) | 7.84783 | + | 7.28172i | 0.293903 | + | 0.272702i | ||||
\(714\) | 45.6146 | + | 18.0299i | 1.70708 | + | 0.674752i | ||||
\(715\) | 4.38883 | − | 4.07224i | 0.164133 | − | 0.152293i | ||||
\(716\) | −12.4856 | −0.466610 | ||||||||
\(717\) | 27.8539 | + | 31.7665i | 1.04022 | + | 1.18634i | ||||
\(718\) | 5.68147 | + | 24.8922i | 0.212031 | + | 0.928967i | ||||
\(719\) | 27.8271 | − | 18.9722i | 1.03777 | − | 0.707543i | 0.0805091 | − | 0.996754i | \(-0.474345\pi\) |
0.957265 | + | 0.289211i | \(0.0933930\pi\) | |||||||
\(720\) | −60.2312 | + | 14.9271i | −2.24468 | + | 0.556302i | ||||
\(721\) | 18.2352 | − | 13.1318i | 0.679114 | − | 0.489052i | ||||
\(722\) | −4.98917 | + | 0.751996i | −0.185678 | + | 0.0279864i | ||||
\(723\) | −1.16966 | − | 2.61450i | −0.0434999 | − | 0.0972342i | ||||
\(724\) | 1.44388 | − | 0.217630i | 0.0536613 | − | 0.00808814i | ||||
\(725\) | 7.81539 | − | 5.32844i | 0.290256 | − | 0.197893i | ||||
\(726\) | −41.5849 | + | 1.94210i | −1.54336 | + | 0.0720780i | ||||
\(727\) | −2.61876 | + | 34.9449i | −0.0971244 | + | 1.29604i | 0.709388 | + | 0.704818i | \(0.248972\pi\) |
−0.806512 | + | 0.591217i | \(0.798648\pi\) | |||||||
\(728\) | −7.35111 | − | 28.7759i | −0.272450 | − | 1.06650i | ||||
\(729\) | −20.1412 | + | 17.9815i | −0.745969 | + | 0.665981i | ||||
\(730\) | −8.31559 | + | 110.964i | −0.307774 | + | 4.10695i | ||||
\(731\) | 8.11121 | − | 35.5375i | 0.300004 | − | 1.31440i | ||||
\(732\) | −84.9457 | + | 63.9173i | −3.13968 | + | 2.36245i | ||||
\(733\) | 18.8379 | + | 23.6220i | 0.695794 | + | 0.872498i | 0.996701 | − | 0.0811557i | \(-0.0258611\pi\) |
−0.300908 | + | 0.953653i | \(0.597290\pi\) | |||||||
\(734\) | −27.0336 | − | 46.8236i | −0.997828 | − | 1.72829i | ||||
\(735\) | −4.18394 | + | 32.9489i | −0.154327 | + | 1.21534i | ||||
\(736\) | −7.72862 | + | 13.3864i | −0.284881 | + | 0.493428i | ||||
\(737\) | 5.09821 | − | 0.768432i | 0.187795 | − | 0.0283055i | ||||
\(738\) | −25.5800 | − | 77.7796i | −0.941614 | − | 2.86311i | ||||
\(739\) | 5.04045 | − | 1.55477i | 0.185416 | − | 0.0571932i | −0.200657 | − | 0.979662i | \(-0.564308\pi\) |
0.386073 | + | 0.922468i | \(0.373831\pi\) | |||||||
\(740\) | −122.203 | − | 83.3167i | −4.49228 | − | 3.06278i | ||||
\(741\) | −13.2563 | − | 3.42065i | −0.486982 | − | 0.125661i | ||||
\(742\) | −4.87649 | − | 48.3530i | −0.179022 | − | 1.77509i | ||||
\(743\) | −0.0299782 | − | 0.0204388i | −0.00109979 | − | 0.000749826i | 0.562770 | − | 0.826614i | \(-0.309736\pi\) |
−0.563870 | + | 0.825864i | \(0.690688\pi\) | |||||||
\(744\) | 26.5612 | + | 41.4149i | 0.973781 | + | 1.51834i | ||||
\(745\) | −9.77005 | − | 4.70501i | −0.357947 | − | 0.172378i | ||||
\(746\) | 15.1913 | − | 38.7068i | 0.556193 | − | 1.41716i | ||||
\(747\) | 33.9434 | − | 3.17738i | 1.24192 | − | 0.116254i | ||||
\(748\) | 15.0075 | + | 18.8188i | 0.548728 | + | 0.688083i | ||||
\(749\) | −10.6602 | − | 17.4142i | −0.389516 | − | 0.636299i | ||||
\(750\) | −30.2560 | + | 1.41302i | −1.10479 | + | 0.0515961i | ||||
\(751\) | 28.2118 | + | 13.5861i | 1.02946 | + | 0.495764i | 0.870835 | − | 0.491575i | \(-0.163579\pi\) |
0.158628 | + | 0.987338i | \(0.449293\pi\) | |||||||
\(752\) | 8.82265 | + | 2.72143i | 0.321729 | + | 0.0992402i | ||||
\(753\) | 17.3629 | − | 3.45222i | 0.632739 | − | 0.125806i | ||||
\(754\) | −8.33756 | − | 14.4411i | −0.303636 | − | 0.525913i | ||||
\(755\) | 11.7140 | + | 51.3225i | 0.426317 | + | 1.86782i | ||||
\(756\) | 12.9138 | − | 61.1021i | 0.469669 | − | 2.22226i | ||||
\(757\) | 4.75841 | − | 20.8479i | 0.172947 | − | 0.757731i | −0.811828 | − | 0.583897i | \(-0.801527\pi\) |
0.984775 | − | 0.173834i | \(-0.0556157\pi\) | |||||||
\(758\) | −71.4052 | + | 22.0256i | −2.59355 | + | 0.800005i | ||||
\(759\) | 2.46791 | − | 4.77615i | 0.0895796 | − | 0.173363i | ||||
\(760\) | −29.8094 | − | 75.9531i | −1.08130 | − | 2.75511i | ||||
\(761\) | −7.17199 | + | 31.4225i | −0.259984 | + | 1.13907i | 0.661283 | + | 0.750136i | \(0.270012\pi\) |
−0.921268 | + | 0.388930i | \(0.872845\pi\) | |||||||
\(762\) | −65.7233 | + | 35.5189i | −2.38090 | + | 1.28671i | ||||
\(763\) | 0.712068 | − | 3.53658i | 0.0257786 | − | 0.128033i | ||||
\(764\) | 20.1801 | + | 88.4148i | 0.730090 | + | 3.19873i | ||||
\(765\) | 27.2790 | + | 20.9390i | 0.986273 | + | 0.757050i | ||||
\(766\) | 17.3906 | + | 30.1214i | 0.628348 | + | 1.08833i | ||||
\(767\) | 2.39254 | + | 10.4824i | 0.0863894 | + | 0.378497i | ||||
\(768\) | 33.4736 | − | 34.0999i | 1.20787 | − | 1.23047i | ||||
\(769\) | 34.2445 | + | 5.16153i | 1.23489 | + | 0.186130i | 0.733860 | − | 0.679301i | \(-0.237717\pi\) |
0.501029 | + | 0.865430i | \(0.332955\pi\) | |||||||
\(770\) | −14.1598 | + | 18.7238i | −0.510284 | + | 0.674761i | ||||
\(771\) | −1.21289 | − | 1.02436i | −0.0436811 | − | 0.0368915i | ||||
\(772\) | 73.1913 | − | 67.9116i | 2.63421 | − | 2.44419i | ||||
\(773\) | 7.33618 | − | 18.6923i | 0.263864 | − | 0.672315i | −0.736126 | − | 0.676845i | \(-0.763347\pi\) |
0.999990 | + | 0.00453012i | \(0.00144199\pi\) | |||||||
\(774\) | −66.7402 | − | 3.75900i | −2.39893 | − | 0.135114i | ||||
\(775\) | −3.99597 | − | 10.1816i | −0.143539 | − | 0.365732i | ||||
\(776\) | 4.05429 | − | 54.1007i | 0.145540 | − | 1.94210i | ||||
\(777\) | 47.2338 | − | 27.1183i | 1.69450 | − | 0.972863i | ||||
\(778\) | −0.557576 | − | 7.44033i | −0.0199901 | − | 0.266749i | ||||
\(779\) | 44.0253 | − | 21.2015i | 1.57737 | − | 0.759622i | ||||
\(780\) | 1.04641 | − | 37.1871i | 0.0374676 | − | 1.33151i | ||||
\(781\) | 12.5229 | − | 6.03072i | 0.448105 | − | 0.215796i | ||||
\(782\) | 25.9429 | − | 3.91027i | 0.927717 | − | 0.139831i | ||||
\(783\) | −1.27882 | − | 19.5846i | −0.0457012 | − | 0.699897i | ||||
\(784\) | 21.8136 | + | 48.1438i | 0.779059 | + | 1.71942i | ||||
\(785\) | −1.65304 | + | 2.86314i | −0.0589994 | + | 0.102190i | ||||
\(786\) | −0.363700 | + | 2.02476i | −0.0129728 | + | 0.0722207i | ||||
\(787\) | −1.93393 | + | 25.8065i | −0.0689370 | + | 0.919901i | 0.850326 | + | 0.526257i | \(0.176405\pi\) |
−0.919263 | + | 0.393644i | \(0.871214\pi\) | |||||||
\(788\) | −16.9363 | − | 15.7146i | −0.603331 | − | 0.559809i | ||||
\(789\) | 8.09096 | − | 6.08804i | 0.288046 | − | 0.216740i | ||||
\(790\) | −16.3706 | + | 11.1613i | −0.582440 | + | 0.397101i | ||||
\(791\) | −27.0583 | + | 0.695884i | −0.962082 | + | 0.0247428i | ||||
\(792\) | 16.4665 | − | 18.4199i | 0.585110 | − | 0.654523i | ||||
\(793\) | −8.51961 | − | 21.7076i | −0.302540 | − | 0.770860i | ||||
\(794\) | 46.2235 | + | 22.2601i | 1.64041 | + | 0.789980i | ||||
\(795\) | 6.02399 | − | 33.5362i | 0.213649 | − | 1.18941i | ||||
\(796\) | 0.0924493 | + | 0.405047i | 0.00327678 | + | 0.0143565i | ||||
\(797\) | −15.6457 | + | 39.8647i | −0.554201 | + | 1.41208i | 0.329557 | + | 0.944136i | \(0.393101\pi\) |
−0.883758 | + | 0.467945i | \(0.844995\pi\) | |||||||
\(798\) | 53.5202 | + | 4.14102i | 1.89459 | + | 0.146591i | ||||
\(799\) | −1.86932 | − | 4.76295i | −0.0661318 | − | 0.168501i | ||||
\(800\) | 13.0481 | − | 8.89602i | 0.461319 | − | 0.314522i | ||||
\(801\) | −48.6013 | + | 4.54948i | −1.71724 | + | 0.160748i | ||||
\(802\) | −13.3121 | − | 23.0572i | −0.470066 | − | 0.814178i | ||||
\(803\) | −10.0545 | − | 17.4148i | −0.354814 | − | 0.614556i | ||||
\(804\) | 18.7842 | − | 25.9517i | 0.662468 | − | 0.915246i | ||||
\(805\) | 6.91359 | + | 16.3653i | 0.243672 | + | 0.576803i | ||||
\(806\) | −18.4252 | + | 5.68341i | −0.648998 | + | 0.200189i | ||||
\(807\) | 49.1310 | − | 26.5519i | 1.72949 | − | 0.934672i | ||||
\(808\) | 8.65541 | − | 10.8535i | 0.304496 | − | 0.381826i | ||||
\(809\) | 40.4199 | + | 6.09231i | 1.42109 | + | 0.214194i | 0.814196 | − | 0.580591i | \(-0.197178\pi\) |
0.606891 | + | 0.794785i | \(0.292416\pi\) | |||||||
\(810\) | 29.4857 | − | 55.7456i | 1.03602 | − | 1.95870i | ||||
\(811\) | 2.91332 | − | 12.7641i | 0.102300 | − | 0.448207i | −0.897671 | − | 0.440666i | \(-0.854742\pi\) |
0.999972 | − | 0.00754145i | \(-0.00240054\pi\) | |||||||
\(812\) | 29.2072 | + | 34.7528i | 1.02497 | + | 1.21958i | ||||
\(813\) | −2.53850 | − | 0.262219i | −0.0890292 | − | 0.00919642i | ||||
\(814\) | 38.4956 | 1.34927 | ||||||||
\(815\) | −10.1084 | + | 17.5083i | −0.354082 | + | 0.613289i | ||||
\(816\) | 54.4357 | + | 5.62302i | 1.90563 | + | 0.196845i | ||||
\(817\) | −2.98124 | − | 39.7819i | −0.104300 | − | 1.39179i | ||||
\(818\) | 20.1426 | − | 25.2580i | 0.704269 | − | 0.883125i | ||||
\(819\) | 12.1555 | + | 6.31823i | 0.424747 | + | 0.220777i | ||||
\(820\) | 82.7878 | + | 103.813i | 2.89107 | + | 3.62529i | ||||
\(821\) | −14.7727 | + | 13.7070i | −0.515570 | + | 0.478379i | −0.894514 | − | 0.447041i | \(-0.852478\pi\) |
0.378944 | + | 0.925420i | \(0.376287\pi\) | |||||||
\(822\) | 1.76881 | − | 9.84714i | 0.0616943 | − | 0.343458i | ||||
\(823\) | 11.3543 | − | 7.74124i | 0.395786 | − | 0.269843i | −0.349031 | − | 0.937111i | \(-0.613489\pi\) |
0.744817 | + | 0.667269i | \(0.232537\pi\) | |||||||
\(824\) | 34.4417 | − | 43.1885i | 1.19983 | − | 1.50454i | ||||
\(825\) | −4.38888 | + | 3.30241i | −0.152801 | + | 0.114975i | ||||
\(826\) | −16.4059 | − | 38.8349i | −0.570836 | − | 1.35124i | ||||
\(827\) | −33.0368 | − | 15.9097i | −1.14880 | − | 0.553234i | −0.240128 | − | 0.970741i | \(-0.577189\pi\) |
−0.908673 | + | 0.417508i | \(0.862904\pi\) | |||||||
\(828\) | −10.4363 | − | 31.7332i | −0.362688 | − | 1.10280i | ||||
\(829\) | 32.9740 | − | 10.1711i | 1.14523 | − | 0.353258i | 0.336645 | − | 0.941632i | \(-0.390708\pi\) |
0.808589 | + | 0.588374i | \(0.200232\pi\) | |||||||
\(830\) | −71.7417 | + | 34.5490i | −2.49019 | + | 1.19921i | ||||
\(831\) | 17.1578 | + | 14.4909i | 0.595197 | + | 0.502683i | ||||
\(832\) | −0.887514 | − | 1.53722i | −0.0307690 | − | 0.0532935i | ||||
\(833\) | 13.3223 | − | 26.0862i | 0.461591 | − | 0.903833i | ||||
\(834\) | −12.3825 | + | 36.4680i | −0.428772 | + | 1.26278i | ||||
\(835\) | −3.37417 | + | 8.59726i | −0.116768 | + | 0.297520i | ||||
\(836\) | 21.7656 | + | 14.8395i | 0.752779 | + | 0.513236i | ||||
\(837\) | −22.4073 | − | 3.59758i | −0.774511 | − | 0.124351i | ||||
\(838\) | 1.57532 | − | 21.0212i | 0.0544186 | − | 0.726166i | ||||
\(839\) | −40.7594 | + | 27.7893i | −1.40717 | + | 0.959393i | −0.408254 | + | 0.912869i | \(0.633862\pi\) |
−0.998917 | + | 0.0465243i | \(0.985186\pi\) | |||||||
\(840\) | 11.9734 | + | 80.7640i | 0.413123 | + | 2.78662i | ||||
\(841\) | −12.1735 | − | 8.29975i | −0.419776 | − | 0.286198i | ||||
\(842\) | −18.7149 | + | 23.4677i | −0.644957 | + | 0.808750i | ||||
\(843\) | −21.9203 | + | 22.3304i | −0.754975 | + | 0.769101i | ||||
\(844\) | 24.4608 | + | 30.6729i | 0.841975 | + | 1.05580i | ||||
\(845\) | −26.2320 | − | 8.09150i | −0.902408 | − | 0.278356i | ||||
\(846\) | −8.03765 | + | 4.84136i | −0.276340 | + | 0.166449i | ||||
\(847\) | −1.21987 | + | 24.8310i | −0.0419154 | + | 0.853204i | ||||
\(848\) | −19.8098 | − | 50.4746i | −0.680272 | − | 1.73330i | ||||
\(849\) | −16.7095 | + | 17.0221i | −0.573467 | + | 0.584197i | ||||
\(850\) | −25.6135 | − | 7.90073i | −0.878537 | − | 0.270993i | ||||
\(851\) | 14.5666 | − | 25.2300i | 0.499335 | − | 0.864874i | ||||
\(852\) | 27.7683 | − | 81.7807i | 0.951325 | − | 2.80176i | ||||
\(853\) | −18.2404 | − | 5.62643i | −0.624540 | − | 0.192645i | −0.0336977 | − | 0.999432i | \(-0.510728\pi\) |
−0.590842 | + | 0.806787i | \(0.701205\pi\) | |||||||
\(854\) | 47.7385 | + | 77.9840i | 1.63358 | + | 2.66856i | ||||
\(855\) | 35.2831 | + | 13.0982i | 1.20666 | + | 0.447949i | ||||
\(856\) | −36.7935 | − | 34.1394i | −1.25758 | − | 1.16686i | ||||
\(857\) | −4.13315 | + | 5.18281i | −0.141186 | + | 0.177041i | −0.847397 | − | 0.530960i | \(-0.821831\pi\) |
0.706211 | + | 0.708001i | \(0.250403\pi\) | |||||||
\(858\) | 5.22729 | + | 8.15051i | 0.178457 | + | 0.278254i | ||||
\(859\) | −2.56353 | + | 11.2316i | −0.0874666 | + | 0.383216i | −0.999647 | − | 0.0265730i | \(-0.991541\pi\) |
0.912180 | + | 0.409789i | \(0.134398\pi\) | |||||||
\(860\) | 103.588 | − | 31.9526i | 3.53232 | − | 1.08958i | ||||
\(861\) | −47.6967 | + | 10.7651i | −1.62550 | + | 0.366874i | ||||
\(862\) | −4.71043 | − | 1.45298i | −0.160438 | − | 0.0494885i | ||||
\(863\) | −1.08499 | + | 1.87927i | −0.0369337 | + | 0.0639710i | −0.883901 | − | 0.467673i | \(-0.845092\pi\) |
0.846968 | + | 0.531644i | \(0.178426\pi\) | |||||||
\(864\) | −2.13503 | − | 32.6972i | −0.0726352 | − | 1.11238i | ||||
\(865\) | −13.4202 | + | 12.4522i | −0.456301 | + | 0.423386i | ||||
\(866\) | 4.90248 | + | 65.4190i | 0.166593 | + | 2.22303i | ||||
\(867\) | −0.476578 | − | 0.743092i | −0.0161854 | − | 0.0252367i | ||||
\(868\) | 46.6930 | − | 23.9841i | 1.58486 | − | 0.814073i | ||||
\(869\) | 1.30813 | − | 3.33305i | 0.0443751 | − | 0.113066i | ||||
\(870\) | 18.7200 | + | 41.8442i | 0.634666 | + | 1.41865i | ||||
\(871\) | 4.38160 | + | 5.49436i | 0.148465 | + | 0.186169i | ||||
\(872\) | −0.662724 | − | 8.84344i | −0.0224427 | − | 0.299477i | ||||
\(873\) | 17.3581 | + | 18.0257i | 0.587483 | + | 0.610076i | ||||
\(874\) | 25.8698 | − | 12.4582i | 0.875060 | − | 0.421407i | ||||
\(875\) | −0.887548 | + | 18.0664i | −0.0300046 | + | 0.610756i | ||||
\(876\) | −120.987 | − | 31.2196i | −4.08779 | − | 1.05481i | ||||
\(877\) | 14.7055 | − | 7.08177i | 0.496568 | − | 0.239135i | −0.168800 | − | 0.985650i | \(-0.553989\pi\) |
0.665368 | + | 0.746516i | \(0.268275\pi\) | |||||||
\(878\) | −17.5800 | − | 16.3118i | −0.593295 | − | 0.550497i | ||||
\(879\) | 2.03163 | + | 0.864065i | 0.0685250 | + | 0.0291442i | ||||
\(880\) | −9.56903 | + | 24.3815i | −0.322572 | + | 0.821900i | ||||
\(881\) | 51.4653 | 1.73391 | 0.866956 | − | 0.498385i | \(-0.166073\pi\) | ||||
0.866956 | + | 0.498385i | \(0.166073\pi\) | |||||||
\(882\) | −51.2516 | − | 16.0810i | −1.72573 | − | 0.541477i | ||||
\(883\) | 49.2407 | 1.65708 | 0.828540 | − | 0.559930i | \(-0.189172\pi\) | ||||
0.828540 | + | 0.559930i | \(0.189172\pi\) | |||||||
\(884\) | −11.9863 | + | 30.5406i | −0.403143 | + | 1.02719i | ||||
\(885\) | −3.58148 | − | 29.3399i | −0.120390 | − | 0.986249i | ||||
\(886\) | −10.0880 | − | 9.36033i | −0.338914 | − | 0.314467i | ||||
\(887\) | −27.1615 | + | 13.0803i | −0.911993 | + | 0.439193i | −0.830206 | − | 0.557457i | \(-0.811777\pi\) |
−0.0817875 | + | 0.996650i | \(0.526063\pi\) | |||||||
\(888\) | 93.7916 | − | 95.5465i | 3.14744 | − | 3.20633i | ||||
\(889\) | 17.3617 | + | 41.0973i | 0.582292 | + | 1.37836i | ||||
\(890\) | 102.722 | − | 49.4685i | 3.44326 | − | 1.65819i | ||||
\(891\) | 1.27229 | + | 11.3252i | 0.0426233 | + | 0.379407i | ||||
\(892\) | −8.76302 | − | 116.934i | −0.293407 | − | 3.91525i | ||||
\(893\) | −3.49141 | − | 4.37810i | −0.116836 | − | 0.146507i | ||||
\(894\) | 10.2830 | − | 14.2066i | 0.343914 | − | 0.475141i | ||||
\(895\) | −2.75075 | + | 7.00879i | −0.0919473 | + | 0.234278i | ||||
\(896\) | −16.9907 | − | 20.2167i | −0.567618 | − | 0.675391i | ||||
\(897\) | 7.31982 | − | 0.341850i | 0.244402 | − | 0.0114141i | ||||
\(898\) | −1.88859 | − | 25.2014i | −0.0630230 | − | 0.840983i | ||||
\(899\) | 12.0928 | − | 11.2205i | 0.403317 | − | 0.374224i | ||||
\(900\) | −4.46026 | + | 33.8363i | −0.148675 | + | 1.12788i | ||||
\(901\) | −15.0246 | + | 26.0233i | −0.500541 | + | 0.866963i | ||||
\(902\) | −33.0244 | − | 10.1867i | −1.09959 | − | 0.339179i | ||||
\(903\) | −6.04518 | + | 39.4591i | −0.201171 | + | 1.31312i | ||||
\(904\) | −63.5817 | + | 19.6124i | −2.11470 | + | 0.652297i | ||||
\(905\) | 0.195939 | − | 0.858464i | 0.00651323 | − | 0.0285363i | ||||
\(906\) | −85.0444 | + | 3.97174i | −2.82541 | + | 0.131952i | ||||
\(907\) | −16.5315 | + | 20.7299i | −0.548920 | + | 0.688324i | −0.976466 | − | 0.215670i | \(-0.930807\pi\) |
0.427547 | + | 0.903993i | \(0.359378\pi\) | |||||||
\(908\) | 45.0417 | + | 41.7926i | 1.49476 | + | 1.38693i | ||||
\(909\) | 1.07157 | + | 6.31304i | 0.0355416 | + | 0.209390i | ||||
\(910\) | −31.7523 | − | 3.95396i | −1.05258 | − | 0.131072i | ||||
\(911\) | 17.2017 | + | 5.30602i | 0.569917 | + | 0.175796i | 0.566303 | − | 0.824197i | \(-0.308373\pi\) |
0.00361449 | + | 0.999993i | \(0.498849\pi\) | |||||||
\(912\) | 58.7430 | − | 11.6797i | 1.94517 | − | 0.386754i | ||||
\(913\) | 7.19488 | − | 12.4619i | 0.238116 | − | 0.412429i | ||||
\(914\) | 81.6395 | + | 25.1825i | 2.70040 | + | 0.832962i | ||||
\(915\) | 17.1652 | + | 61.7659i | 0.567465 | + | 2.04192i | ||||
\(916\) | −1.76130 | − | 4.48773i | −0.0581951 | − | 0.148279i | ||||
\(917\) | 1.18285 | + | 0.331809i | 0.0390612 | + | 0.0109573i | ||||
\(918\) | −41.1305 | + | 37.4355i | −1.35751 | + | 1.23556i | ||||
\(919\) | 54.4867 | + | 16.8069i | 1.79735 | + | 0.554409i | 0.998866 | − | 0.0476073i | \(-0.0151596\pi\) |
0.798484 | + | 0.602016i | \(0.205636\pi\) | |||||||
\(920\) | 27.2294 | + | 34.1446i | 0.897726 | + | 1.12571i | ||||
\(921\) | −28.4230 | − | 7.33427i | −0.936570 | − | 0.241672i | ||||
\(922\) | 24.3313 | − | 30.5105i | 0.801309 | − | 1.00481i | ||||
\(923\) | 15.6534 | + | 10.6723i | 0.515239 | + | 0.351284i | ||||
\(924\) | −17.8827 | − | 19.3667i | −0.588298 | − | 0.637119i | ||||
\(925\) | −24.5924 | + | 16.7668i | −0.808594 | + | 0.551290i | ||||
\(926\) | −3.84240 | + | 51.2733i | −0.126269 | + | 1.68494i | ||||
\(927\) | 4.26398 | + | 25.1209i | 0.140048 | + | 0.825078i | ||||
\(928\) | 19.6795 | + | 13.4173i | 0.646012 | + | 0.440444i | ||||
\(929\) | 3.75935 | − | 9.57866i | 0.123340 | − | 0.314266i | −0.855846 | − | 0.517231i | \(-0.826963\pi\) |
0.979186 | + | 0.202966i | \(0.0650580\pi\) | |||||||
\(930\) | 51.9889 | − | 10.3368i | 1.70478 | − | 0.338958i | ||||
\(931\) | 5.51746 | − | 31.5787i | 0.180827 | − | 1.03495i | ||||
\(932\) | 37.0784 | + | 64.2217i | 1.21454 | + | 2.10365i | ||||
\(933\) | 29.6673 | − | 10.6907i | 0.971265 | − | 0.349998i | ||||
\(934\) | −34.1292 | + | 16.4358i | −1.11674 | + | 0.537794i | ||||
\(935\) | 13.8702 | − | 4.27840i | 0.453605 | − | 0.139919i | ||||
\(936\) | 32.9655 | + | 6.88391i | 1.07751 | + | 0.225008i | ||||
\(937\) | −8.68323 | − | 4.18162i | −0.283669 | − | 0.136608i | 0.286639 | − | 0.958039i | \(-0.407462\pi\) |
−0.570308 | + | 0.821431i | \(0.693176\pi\) | |||||||
\(938\) | −20.6743 | − | 18.2165i | −0.675039 | − | 0.594791i | ||||
\(939\) | 13.7774 | + | 5.85963i | 0.449609 | + | 0.191222i | ||||
\(940\) | 9.48736 | − | 11.8968i | 0.309444 | − | 0.388030i | ||||
\(941\) | 42.2208 | − | 28.7857i | 1.37636 | − | 0.938386i | 0.376431 | − | 0.926445i | \(-0.377151\pi\) |
0.999929 | − | 0.0119416i | \(-0.00380123\pi\) | |||||||
\(942\) | −4.08490 | − | 3.44996i | −0.133093 | − | 0.112406i | ||||
\(943\) | −19.1726 | + | 17.7896i | −0.624346 | + | 0.579309i | ||||
\(944\) | −29.3273 | − | 36.7752i | −0.954522 | − | 1.19693i | ||||
\(945\) | −31.4544 | − | 20.7107i | −1.02321 | − | 0.673719i | ||||
\(946\) | −17.5917 | + | 22.0593i | −0.571957 | + | 0.717211i | ||||
\(947\) | 3.52638 | + | 47.0563i | 0.114592 | + | 1.52912i | 0.697499 | + | 0.716586i | \(0.254296\pi\) |
−0.582907 | + | 0.812539i | \(0.698085\pi\) | |||||||
\(948\) | −9.08560 | − | 20.3088i | −0.295087 | − | 0.659599i | ||||
\(949\) | 13.7046 | − | 23.7371i | 0.444871 | − | 0.770539i | ||||
\(950\) | −29.3354 | −0.951767 | ||||||||
\(951\) | 33.9651 | − | 46.9251i | 1.10139 | − | 1.52165i | ||||
\(952\) | 14.2125 | − | 70.5883i | 0.460630 | − | 2.28778i | ||||
\(953\) | −8.55746 | + | 37.4927i | −0.277203 | + | 1.21451i | 0.624109 | + | 0.781337i | \(0.285462\pi\) |
−0.901313 | + | 0.433169i | \(0.857395\pi\) | |||||||
\(954\) | 51.6604 | + | 19.1780i | 1.67257 | + | 0.620910i | ||||
\(955\) | 54.0774 | + | 8.15085i | 1.74990 | + | 0.263755i | ||||
\(956\) | 69.0869 | − | 86.6322i | 2.23443 | − | 2.80189i | ||||
\(957\) | −7.05486 | − | 4.34218i | −0.228051 | − | 0.140363i | ||||
\(958\) | −29.2458 | + | 9.02115i | −0.944890 | + | 0.291460i | ||||
\(959\) | −5.75264 | − | 1.61371i | −0.185763 | − | 0.0521093i | ||||
\(960\) | 1.99270 | + | 4.45421i | 0.0643140 | + | 0.143759i | ||||
\(961\) | 5.96237 | + | 10.3271i | 0.192335 | + | 0.333133i | ||||
\(962\) | 26.2355 | + | 45.4412i | 0.845867 | + | 1.46508i | ||||
\(963\) | 23.0510 | − | 2.15776i | 0.742809 | − | 0.0695330i | ||||
\(964\) | −6.20674 | + | 4.23168i | −0.199906 | + | 0.136293i | ||||
\(965\) | −21.9970 | − | 56.0476i | −0.708110 | − | 1.80423i | ||||
\(966\) | −28.0271 | + | 6.32571i | −0.901758 | + | 0.203526i | ||||
\(967\) | 13.0672 | − | 33.2947i | 0.420213 | − | 1.07069i | −0.551428 | − | 0.834223i | \(-0.685917\pi\) |
0.971641 | − | 0.236462i | \(-0.0759880\pi\) | |||||||
\(968\) | 13.5992 | + | 59.5820i | 0.437095 | + | 1.91504i | ||||
\(969\) | −25.3577 | − | 21.4162i | −0.814607 | − | 0.687988i | ||||
\(970\) | −52.6610 | − | 25.3602i | −1.69084 | − | 0.814267i | ||||
\(971\) | −8.91186 | − | 22.7071i | −0.285995 | − | 0.728704i | −0.999603 | − | 0.0281591i | \(-0.991036\pi\) |
0.713608 | − | 0.700545i | \(-0.247060\pi\) | |||||||
\(972\) | 55.7569 | + | 43.6548i | 1.78840 | + | 1.40023i | ||||
\(973\) | 20.9714 | + | 9.44300i | 0.672312 | + | 0.302729i | ||||
\(974\) | 35.5777 | − | 24.2565i | 1.13998 | − | 0.777228i | ||||
\(975\) | −6.88935 | − | 2.93009i | −0.220636 | − | 0.0938380i | ||||
\(976\) | 74.7844 | + | 69.3897i | 2.39379 | + | 2.22111i | ||||
\(977\) | −0.918151 | + | 12.2519i | −0.0293743 | + | 0.391972i | 0.963068 | + | 0.269259i | \(0.0867787\pi\) |
−0.992442 | + | 0.122714i | \(0.960840\pi\) | |||||||
\(978\) | −24.9794 | − | 21.0967i | −0.798752 | − | 0.674598i | ||||
\(979\) | −10.3019 | + | 17.8434i | −0.329250 | + | 0.570277i | ||||
\(980\) | 86.9947 | − | 4.47761i | 2.77895 | − | 0.143032i | ||||
\(981\) | 3.24487 | + | 2.49072i | 0.103601 | + | 0.0795225i | ||||
\(982\) | −27.0402 | + | 4.07566i | −0.862889 | + | 0.130060i | ||||
\(983\) | 10.1598 | − | 4.89269i | 0.324047 | − | 0.156053i | −0.264787 | − | 0.964307i | \(-0.585302\pi\) |
0.588834 | + | 0.808254i | \(0.299587\pi\) | |||||||
\(984\) | −105.745 | + | 57.1478i | −3.37102 | + | 1.82181i | ||||
\(985\) | −12.5526 | + | 6.04503i | −0.399960 | + | 0.192611i | ||||
\(986\) | −3.02113 | − | 40.3142i | −0.0962125 | − | 1.28387i | ||||
\(987\) | 2.41903 | + | 5.05441i | 0.0769985 | + | 0.160884i | ||||
\(988\) | −2.68330 | + | 35.8061i | −0.0853671 | + | 1.13914i | ||||
\(989\) | 7.80106 | + | 19.8768i | 0.248059 | + | 0.632044i | ||||
\(990\) | −11.9918 | − | 23.7641i | −0.381124 | − | 0.755272i | ||||
\(991\) | −13.5528 | + | 34.5320i | −0.430520 | + | 1.09695i | 0.536873 | + | 0.843663i | \(0.319606\pi\) |
−0.967392 | + | 0.253283i | \(0.918490\pi\) | |||||||
\(992\) | 20.1893 | − | 18.7330i | 0.641012 | − | 0.594772i | ||||
\(993\) | 3.73934 | − | 20.8173i | 0.118664 | − | 0.660616i | ||||
\(994\) | −67.7345 | − | 30.4995i | −2.14841 | − | 0.967384i | ||||
\(995\) | 0.247740 | + | 0.0373408i | 0.00785388 | + | 0.00118378i | ||||
\(996\) | −23.9414 | − | 86.1486i | −0.758611 | − | 2.72972i | ||||
\(997\) | 3.21933 | + | 14.1048i | 0.101957 | + | 0.446703i | 0.999977 | + | 0.00674894i | \(0.00214827\pi\) |
−0.898020 | + | 0.439954i | \(0.854995\pi\) | |||||||
\(998\) | 38.1171 | + | 66.0207i | 1.20657 | + | 2.08985i | ||||
\(999\) | 4.02401 | + | 61.6262i | 0.127314 | + | 1.94977i |
(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 | 441.2.z.a.142.51 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.51 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.51 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.51 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.51 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.51 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.51 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.51 | yes | 648 | 441.382 | even | 21 | inner |