Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 59.18 | ||
Character | \(\chi\) | \(=\) | 144.59 |
Dual form | 144.2.u.a.83.18 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14165 | − | 0.834650i | 0.807267 | − | 0.590187i | ||||
\(3\) | 0.632098 | + | 1.61259i | 0.364942 | + | 0.931030i | ||||
\(4\) | 0.606718 | − | 1.90575i | 0.303359 | − | 0.952876i | ||||
\(5\) | −1.02195 | − | 3.81396i | −0.457029 | − | 1.70566i | −0.682053 | − | 0.731302i | \(-0.738913\pi\) |
0.225024 | − | 0.974353i | \(-0.427754\pi\) | |||||||
\(6\) | 2.06758 | + | 1.31343i | 0.844087 | + | 0.536206i | ||||
\(7\) | 1.46715 | + | 2.54117i | 0.554529 | + | 0.960473i | 0.997940 | + | 0.0641541i | \(0.0204349\pi\) |
−0.443411 | + | 0.896318i | \(0.646232\pi\) | |||||||
\(8\) | −0.897978 | − | 2.68210i | −0.317483 | − | 0.948264i | ||||
\(9\) | −2.20090 | + | 2.03863i | −0.733634 | + | 0.679544i | ||||
\(10\) | −4.35003 | − | 3.50123i | −1.37560 | − | 1.10719i | ||||
\(11\) | −0.710081 | + | 2.65006i | −0.214097 | + | 0.799022i | 0.772385 | + | 0.635155i | \(0.219064\pi\) |
−0.986482 | + | 0.163868i | \(0.947603\pi\) | |||||||
\(12\) | 3.45671 | − | 0.226234i | 0.997865 | − | 0.0653082i | ||||
\(13\) | 0.628955 | + | 2.34729i | 0.174441 | + | 0.651021i | 0.996646 | + | 0.0818307i | \(0.0260767\pi\) |
−0.822206 | + | 0.569191i | \(0.807257\pi\) | |||||||
\(14\) | 3.79595 | + | 1.67657i | 1.01451 | + | 0.448082i | ||||
\(15\) | 5.50439 | − | 4.05878i | 1.42123 | − | 1.04797i | ||||
\(16\) | −3.26379 | − | 2.31251i | −0.815946 | − | 0.578128i | ||||
\(17\) | 2.89808i | 0.702889i | 0.936209 | + | 0.351444i | \(0.114309\pi\) | ||||
−0.936209 | + | 0.351444i | \(0.885691\pi\) | |||||||
\(18\) | −0.811111 | + | 4.16438i | −0.191181 | + | 0.981555i | ||||
\(19\) | −1.99906 | − | 1.99906i | −0.458615 | − | 0.458615i | 0.439586 | − | 0.898201i | \(-0.355125\pi\) |
−0.898201 | + | 0.439586i | \(0.855125\pi\) | |||||||
\(20\) | −7.88850 | − | 0.366421i | −1.76392 | − | 0.0819342i | ||||
\(21\) | −3.17049 | + | 3.97218i | −0.691858 | + | 0.866800i | ||||
\(22\) | 1.40121 | + | 3.61810i | 0.298739 | + | 0.771382i | ||||
\(23\) | −2.07141 | − | 1.19593i | −0.431918 | − | 0.249368i | 0.268245 | − | 0.963351i | \(-0.413556\pi\) |
−0.700163 | + | 0.713983i | \(0.746890\pi\) | |||||||
\(24\) | 3.75751 | − | 3.14342i | 0.766999 | − | 0.641648i | ||||
\(25\) | −9.17180 | + | 5.29534i | −1.83436 | + | 1.05907i | ||||
\(26\) | 2.67721 | + | 2.15482i | 0.525044 | + | 0.422595i | ||||
\(27\) | −4.67867 | − | 2.26054i | −0.900410 | − | 0.435041i | ||||
\(28\) | 5.73299 | − | 1.25424i | 1.08343 | − | 0.237029i | ||||
\(29\) | 2.26743 | − | 8.46218i | 0.421052 | − | 1.57139i | −0.351344 | − | 0.936246i | \(-0.614275\pi\) |
0.772396 | − | 0.635141i | \(-0.219058\pi\) | |||||||
\(30\) | 2.89641 | − | 9.22794i | 0.528810 | − | 1.68478i | ||||
\(31\) | 0.439075 | + | 0.253500i | 0.0788602 | + | 0.0455300i | 0.538912 | − | 0.842362i | \(-0.318836\pi\) |
−0.460051 | + | 0.887892i | \(0.652169\pi\) | |||||||
\(32\) | −5.65623 | + | 0.0840474i | −0.999890 | + | 0.0148576i | ||||
\(33\) | −4.72230 | + | 0.530027i | −0.822047 | + | 0.0922658i | ||||
\(34\) | 2.41889 | + | 3.30859i | 0.414836 | + | 0.567419i | ||||
\(35\) | 8.19258 | − | 8.19258i | 1.38480 | − | 1.38480i | ||||
\(36\) | 2.54980 | + | 5.43125i | 0.424967 | + | 0.905209i | ||||
\(37\) | 1.36407 | + | 1.36407i | 0.224251 | + | 0.224251i | 0.810286 | − | 0.586035i | \(-0.199312\pi\) |
−0.586035 | + | 0.810286i | \(0.699312\pi\) | |||||||
\(38\) | −3.95073 | − | 0.613705i | −0.640893 | − | 0.0995561i | ||||
\(39\) | −3.38766 | + | 2.49797i | −0.542460 | + | 0.399995i | ||||
\(40\) | −9.31172 | + | 6.16582i | −1.47231 | + | 0.974901i | ||||
\(41\) | −0.745739 | + | 1.29166i | −0.116465 | + | 0.201723i | −0.918364 | − | 0.395736i | \(-0.870490\pi\) |
0.801899 | + | 0.597459i | \(0.203823\pi\) | |||||||
\(42\) | −0.304205 | + | 7.18108i | −0.0469398 | + | 1.10806i | ||||
\(43\) | 4.74478 | + | 1.27136i | 0.723572 | + | 0.193881i | 0.601765 | − | 0.798673i | \(-0.294464\pi\) |
0.121807 | + | 0.992554i | \(0.461131\pi\) | |||||||
\(44\) | 4.61954 | + | 2.96108i | 0.696421 | + | 0.446399i | ||||
\(45\) | 10.0245 | + | 6.31078i | 1.49436 | + | 0.940756i | ||||
\(46\) | −3.36300 | + | 0.363572i | −0.495847 | + | 0.0536058i | ||||
\(47\) | 3.25802 | + | 5.64306i | 0.475231 | + | 0.823124i | 0.999598 | − | 0.0283684i | \(-0.00903115\pi\) |
−0.524367 | + | 0.851493i | \(0.675698\pi\) | |||||||
\(48\) | 1.66610 | − | 6.72489i | 0.240481 | − | 0.970654i | ||||
\(49\) | −0.805035 | + | 1.39436i | −0.115005 | + | 0.199195i | ||||
\(50\) | −6.05120 | + | 13.7007i | −0.855770 | + | 1.93757i | ||||
\(51\) | −4.67343 | + | 1.83187i | −0.654411 | + | 0.256514i | ||||
\(52\) | 4.85495 | + | 0.225512i | 0.673261 | + | 0.0312730i | ||||
\(53\) | 5.17979 | − | 5.17979i | 0.711499 | − | 0.711499i | −0.255349 | − | 0.966849i | \(-0.582191\pi\) |
0.966849 | + | 0.255349i | \(0.0821905\pi\) | |||||||
\(54\) | −7.22815 | + | 1.32431i | −0.983627 | + | 0.180216i | ||||
\(55\) | 10.8329 | 1.46071 | ||||||||
\(56\) | 5.49820 | − | 6.21694i | 0.734728 | − | 0.830774i | ||||
\(57\) | 1.96006 | − | 4.48726i | 0.259616 | − | 0.594352i | ||||
\(58\) | −4.47435 | − | 11.5533i | −0.587511 | − | 1.51703i | ||||
\(59\) | 2.48100 | − | 0.664781i | 0.322998 | − | 0.0865472i | −0.0936766 | − | 0.995603i | \(-0.529862\pi\) |
0.416675 | + | 0.909056i | \(0.363195\pi\) | |||||||
\(60\) | −4.39542 | − | 12.9525i | −0.567447 | − | 1.67217i | ||||
\(61\) | −11.1833 | − | 2.99657i | −1.43188 | − | 0.383671i | −0.542198 | − | 0.840251i | \(-0.682408\pi\) |
−0.889682 | + | 0.456580i | \(0.849074\pi\) | |||||||
\(62\) | 0.712853 | − | 0.0770663i | 0.0905324 | − | 0.00978743i | ||||
\(63\) | −8.40956 | − | 2.60190i | −1.05951 | − | 0.327809i | ||||
\(64\) | −6.38727 | + | 4.81693i | −0.798409 | + | 0.602116i | ||||
\(65\) | 8.30972 | − | 4.79762i | 1.03069 | − | 0.595071i | ||||
\(66\) | −4.94882 | + | 4.54657i | −0.609157 | + | 0.559645i | ||||
\(67\) | 9.46095 | − | 2.53505i | 1.15584 | − | 0.309706i | 0.370536 | − | 0.928818i | \(-0.379174\pi\) |
0.785303 | + | 0.619112i | \(0.212507\pi\) | |||||||
\(68\) | 5.52303 | + | 1.75832i | 0.669766 | + | 0.213228i | ||||
\(69\) | 0.619209 | − | 4.09628i | 0.0745440 | − | 0.493134i | ||||
\(70\) | 2.51510 | − | 16.1910i | 0.300612 | − | 1.93519i | ||||
\(71\) | 4.65399i | 0.552327i | 0.961111 | + | 0.276164i | \(0.0890632\pi\) | ||||
−0.961111 | + | 0.276164i | \(0.910937\pi\) | |||||||
\(72\) | 7.44417 | + | 4.07238i | 0.877304 | + | 0.479935i | ||||
\(73\) | − | 4.91897i | − | 0.575722i | −0.957672 | − | 0.287861i | \(-0.907056\pi\) | ||
0.957672 | − | 0.287861i | \(-0.0929441\pi\) | |||||||
\(74\) | 2.69580 | + | 0.418765i | 0.313381 | + | 0.0486805i | ||||
\(75\) | −14.3367 | − | 11.4432i | −1.65546 | − | 1.32135i | ||||
\(76\) | −5.02257 | + | 2.59684i | −0.576128 | + | 0.297878i | ||||
\(77\) | −7.77604 | + | 2.08358i | −0.886162 | + | 0.237446i | ||||
\(78\) | −1.78259 | + | 5.67931i | −0.201838 | + | 0.643055i | ||||
\(79\) | 3.61263 | − | 2.08575i | 0.406453 | − | 0.234666i | −0.282812 | − | 0.959175i | \(-0.591267\pi\) |
0.689264 | + | 0.724510i | \(0.257934\pi\) | |||||||
\(80\) | −5.48441 | + | 14.8112i | −0.613175 | + | 1.65594i | ||||
\(81\) | 0.687950 | − | 8.97367i | 0.0764389 | − | 0.997074i | ||||
\(82\) | 0.226711 | + | 2.09705i | 0.0250361 | + | 0.231580i | ||||
\(83\) | −12.5924 | − | 3.37411i | −1.38219 | − | 0.370357i | −0.510275 | − | 0.860011i | \(-0.670456\pi\) |
−0.871917 | + | 0.489654i | \(0.837123\pi\) | |||||||
\(84\) | 5.64639 | + | 8.45216i | 0.616072 | + | 0.922207i | ||||
\(85\) | 11.0532 | − | 2.96169i | 1.19889 | − | 0.321241i | ||||
\(86\) | 6.47801 | − | 2.50879i | 0.698542 | − | 0.270529i | ||||
\(87\) | 15.0793 | − | 1.69249i | 1.61667 | − | 0.181453i | ||||
\(88\) | 7.74534 | − | 0.475189i | 0.825656 | − | 0.0506553i | ||||
\(89\) | −7.33327 | −0.777325 | −0.388662 | − | 0.921380i | \(-0.627063\pi\) | ||||
−0.388662 | + | 0.921380i | \(0.627063\pi\) | |||||||
\(90\) | 16.7117 | − | 1.16224i | 1.76157 | − | 0.122511i | ||||
\(91\) | −5.04210 | + | 5.04210i | −0.528556 | + | 0.528556i | ||||
\(92\) | −3.53590 | + | 3.22200i | −0.368643 | + | 0.335916i | ||||
\(93\) | −0.131254 | + | 0.868286i | −0.0136104 | + | 0.0900371i | ||||
\(94\) | 8.42949 | + | 3.72307i | 0.869435 | + | 0.384006i | ||||
\(95\) | −5.58139 | + | 9.66725i | −0.572639 | + | 0.991839i | ||||
\(96\) | −3.71083 | − | 9.06806i | −0.378735 | − | 0.925505i | ||||
\(97\) | 2.50134 | + | 4.33245i | 0.253973 | + | 0.439893i | 0.964616 | − | 0.263659i | \(-0.0849294\pi\) |
−0.710643 | + | 0.703552i | \(0.751596\pi\) | |||||||
\(98\) | 0.244738 | + | 2.26379i | 0.0247222 | + | 0.228678i | ||||
\(99\) | −3.83968 | − | 7.28011i | −0.385902 | − | 0.731679i | ||||
\(100\) | 4.52691 | + | 20.6920i | 0.452691 | + | 2.06920i | ||||
\(101\) | −10.5592 | − | 2.82933i | −1.05068 | − | 0.281529i | −0.308147 | − | 0.951339i | \(-0.599709\pi\) |
−0.742533 | + | 0.669810i | \(0.766376\pi\) | |||||||
\(102\) | −3.80643 | + | 5.99203i | −0.376893 | + | 0.593300i | ||||
\(103\) | −0.321949 | + | 0.557632i | −0.0317226 | + | 0.0549451i | −0.881451 | − | 0.472276i | \(-0.843433\pi\) |
0.849728 | + | 0.527221i | \(0.176766\pi\) | |||||||
\(104\) | 5.73087 | − | 3.79473i | 0.561958 | − | 0.372104i | ||||
\(105\) | 18.3898 | + | 8.03277i | 1.79466 | + | 0.783918i | ||||
\(106\) | 1.59018 | − | 10.2368i | 0.154452 | − | 0.994287i | ||||
\(107\) | −3.74155 | − | 3.74155i | −0.361709 | − | 0.361709i | 0.502733 | − | 0.864442i | \(-0.332328\pi\) |
−0.864442 | + | 0.502733i | \(0.832328\pi\) | |||||||
\(108\) | −7.14667 | + | 7.54488i | −0.687688 | + | 0.726006i | ||||
\(109\) | 6.00859 | − | 6.00859i | 0.575518 | − | 0.575518i | −0.358147 | − | 0.933665i | \(-0.616591\pi\) |
0.933665 | + | 0.358147i | \(0.116591\pi\) | |||||||
\(110\) | 12.3673 | − | 9.04167i | 1.17918 | − | 0.862089i | ||||
\(111\) | −1.33746 | + | 3.06191i | −0.126946 | + | 0.290623i | ||||
\(112\) | 1.08803 | − | 11.6866i | 0.102810 | − | 1.10428i | ||||
\(113\) | 14.4387 | + | 8.33620i | 1.35828 | + | 0.784204i | 0.989392 | − | 0.145270i | \(-0.0464051\pi\) |
0.368889 | + | 0.929474i | \(0.379738\pi\) | |||||||
\(114\) | −1.50759 | − | 6.75883i | −0.141199 | − | 0.633023i | ||||
\(115\) | −2.44435 | + | 9.12244i | −0.227937 | + | 0.850672i | ||||
\(116\) | −14.7511 | − | 9.45533i | −1.36961 | − | 0.877905i | ||||
\(117\) | −6.16953 | − | 3.88395i | −0.570374 | − | 0.359071i | ||||
\(118\) | 2.27757 | − | 2.82971i | 0.209667 | − | 0.260496i | ||||
\(119\) | −7.36453 | + | 4.25191i | −0.675105 | + | 0.389772i | ||||
\(120\) | −15.8289 | − | 11.1186i | −1.44497 | − | 1.01498i | ||||
\(121\) | 3.00769 | + | 1.73649i | 0.273426 | + | 0.157863i | ||||
\(122\) | −15.2685 | + | 5.91315i | −1.38235 | + | 0.535352i | ||||
\(123\) | −2.55430 | − | 0.386118i | −0.230313 | − | 0.0348151i | ||||
\(124\) | 0.749504 | − | 0.682965i | 0.0673074 | − | 0.0613321i | ||||
\(125\) | 15.6093 | + | 15.6093i | 1.39613 | + | 1.39613i | ||||
\(126\) | −11.7724 | + | 4.04859i | −1.04877 | + | 0.360677i | ||||
\(127\) | − | 17.9975i | − | 1.59702i | −0.601983 | − | 0.798509i | \(-0.705623\pi\) | ||
0.601983 | − | 0.798509i | \(-0.294377\pi\) | |||||||
\(128\) | −3.27156 | + | 10.8304i | −0.289168 | + | 0.957278i | ||||
\(129\) | 0.948984 | + | 8.45502i | 0.0835533 | + | 0.744423i | ||||
\(130\) | 5.48244 | − | 12.4129i | 0.480842 | − | 1.08868i | ||||
\(131\) | 4.66555 | + | 17.4121i | 0.407631 | + | 1.52130i | 0.799151 | + | 0.601131i | \(0.205283\pi\) |
−0.391520 | + | 0.920170i | \(0.628051\pi\) | |||||||
\(132\) | −1.85501 | + | 9.32112i | −0.161458 | + | 0.811299i | ||||
\(133\) | 2.14704 | − | 8.01285i | 0.186172 | − | 0.694802i | ||||
\(134\) | 8.68519 | − | 10.7907i | 0.750286 | − | 0.932176i | ||||
\(135\) | −3.84026 | + | 20.1544i | −0.330517 | + | 1.73462i | ||||
\(136\) | 7.77294 | − | 2.60242i | 0.666524 | − | 0.223155i | ||||
\(137\) | 0.396155 | + | 0.686161i | 0.0338458 | + | 0.0586227i | 0.882452 | − | 0.470402i | \(-0.155891\pi\) |
−0.848606 | + | 0.529025i | \(0.822558\pi\) | |||||||
\(138\) | −2.71204 | − | 5.19333i | −0.230864 | − | 0.442085i | ||||
\(139\) | 5.49654 | + | 20.5134i | 0.466211 | + | 1.73992i | 0.652844 | + | 0.757492i | \(0.273576\pi\) |
−0.186633 | + | 0.982430i | \(0.559758\pi\) | |||||||
\(140\) | −10.6424 | − | 20.5836i | −0.899451 | − | 1.73963i | ||||
\(141\) | −7.04056 | + | 8.82082i | −0.592922 | + | 0.742847i | ||||
\(142\) | 3.88446 | + | 5.31322i | 0.325976 | + | 0.445876i | ||||
\(143\) | −6.66706 | −0.557528 | ||||||||
\(144\) | 11.8976 | − | 1.56405i | 0.991470 | − | 0.130338i | ||||
\(145\) | −34.5916 | −2.87268 | ||||||||
\(146\) | −4.10562 | − | 5.61573i | −0.339783 | − | 0.464761i | ||||
\(147\) | −2.75740 | − | 0.416819i | −0.227426 | − | 0.0343787i | ||||
\(148\) | 3.42718 | − | 1.77197i | 0.281712 | − | 0.145655i | ||||
\(149\) | −3.02863 | − | 11.3030i | −0.248115 | − | 0.925977i | −0.971792 | − | 0.235839i | \(-0.924216\pi\) |
0.723677 | − | 0.690139i | \(-0.242450\pi\) | |||||||
\(150\) | −25.9185 | − | 1.09796i | −2.11624 | − | 0.0896481i | ||||
\(151\) | −4.24025 | − | 7.34432i | −0.345066 | − | 0.597673i | 0.640299 | − | 0.768125i | \(-0.278810\pi\) |
−0.985366 | + | 0.170453i | \(0.945477\pi\) | |||||||
\(152\) | −3.56655 | + | 7.15677i | −0.289285 | + | 0.580490i | ||||
\(153\) | −5.90813 | − | 6.37840i | −0.477644 | − | 0.515663i | ||||
\(154\) | −7.13844 | + | 8.86899i | −0.575232 | + | 0.714684i | ||||
\(155\) | 0.518128 | − | 1.93368i | 0.0416170 | − | 0.155317i | ||||
\(156\) | 2.70515 | + | 7.97160i | 0.216585 | + | 0.638239i | ||||
\(157\) | −0.947242 | − | 3.53516i | −0.0755981 | − | 0.282136i | 0.917770 | − | 0.397112i | \(-0.129988\pi\) |
−0.993368 | + | 0.114976i | \(0.963321\pi\) | |||||||
\(158\) | 2.38348 | − | 5.39648i | 0.189619 | − | 0.429321i | ||||
\(159\) | 11.6270 | + | 5.07875i | 0.922084 | + | 0.402771i | ||||
\(160\) | 6.10093 | + | 21.4868i | 0.482321 | + | 1.69868i | ||||
\(161\) | − | 7.01840i | − | 0.553127i | ||||||
\(162\) | −6.70448 | − | 10.8190i | −0.526753 | − | 0.850018i | ||||
\(163\) | −3.86060 | − | 3.86060i | −0.302385 | − | 0.302385i | 0.539561 | − | 0.841946i | \(-0.318590\pi\) |
−0.841946 | + | 0.539561i | \(0.818590\pi\) | |||||||
\(164\) | 2.00913 | + | 2.20487i | 0.156887 | + | 0.172171i | ||||
\(165\) | 6.84745 | + | 17.4690i | 0.533073 | + | 1.35996i | ||||
\(166\) | −17.1923 | + | 6.65817i | −1.33438 | + | 0.516774i | ||||
\(167\) | −5.98224 | − | 3.45385i | −0.462920 | − | 0.267267i | 0.250351 | − | 0.968155i | \(-0.419454\pi\) |
−0.713271 | + | 0.700888i | \(0.752787\pi\) | |||||||
\(168\) | 13.5008 | + | 4.93663i | 1.04161 | + | 0.380869i | ||||
\(169\) | 6.14414 | − | 3.54732i | 0.472626 | − | 0.272871i | ||||
\(170\) | 10.1469 | − | 12.6067i | 0.778229 | − | 0.966894i | ||||
\(171\) | 8.47507 | + | 0.324387i | 0.648105 | + | 0.0248065i | ||||
\(172\) | 5.30164 | − | 8.27102i | 0.404247 | − | 0.630659i | ||||
\(173\) | 1.03659 | − | 3.86859i | 0.0788101 | − | 0.294123i | −0.915260 | − | 0.402863i | \(-0.868015\pi\) |
0.994070 | + | 0.108740i | \(0.0346816\pi\) | |||||||
\(174\) | 15.8026 | − | 14.5181i | 1.19799 | − | 1.10062i | ||||
\(175\) | −26.9127 | − | 15.5381i | −2.03441 | − | 1.17457i | ||||
\(176\) | 8.44584 | − | 7.00715i | 0.636629 | − | 0.528184i | ||||
\(177\) | 2.64026 | + | 3.58063i | 0.198454 | + | 0.269137i | ||||
\(178\) | −8.37201 | + | 6.12071i | −0.627508 | + | 0.458767i | ||||
\(179\) | −10.0625 | + | 10.0625i | −0.752109 | + | 0.752109i | −0.974872 | − | 0.222764i | \(-0.928492\pi\) |
0.222764 | + | 0.974872i | \(0.428492\pi\) | |||||||
\(180\) | 18.1088 | − | 15.2753i | 1.34975 | − | 1.13855i | ||||
\(181\) | 15.0346 | + | 15.0346i | 1.11751 | + | 1.11751i | 0.992106 | + | 0.125405i | \(0.0400229\pi\) |
0.125405 | + | 0.992106i | \(0.459977\pi\) | |||||||
\(182\) | −1.54791 | + | 9.96469i | −0.114739 | + | 0.738632i | ||||
\(183\) | −2.23673 | − | 19.9283i | −0.165344 | − | 1.47314i | ||||
\(184\) | −1.34751 | + | 6.62963i | −0.0993400 | + | 0.488742i | ||||
\(185\) | 3.80849 | − | 6.59651i | 0.280006 | − | 0.484985i | ||||
\(186\) | 0.574870 | + | 1.10083i | 0.0421515 | + | 0.0807166i | ||||
\(187\) | −7.68009 | − | 2.05787i | −0.561624 | − | 0.150487i | ||||
\(188\) | 12.7310 | − | 2.78523i | 0.928501 | − | 0.203134i | ||||
\(189\) | −1.11987 | − | 15.2058i | −0.0814585 | − | 1.10606i | ||||
\(190\) | 1.69679 | + | 15.6951i | 0.123098 | + | 1.13864i | ||||
\(191\) | 10.9007 | + | 18.8806i | 0.788749 | + | 1.36615i | 0.926734 | + | 0.375719i | \(0.122604\pi\) |
−0.137984 | + | 0.990434i | \(0.544062\pi\) | |||||||
\(192\) | −11.8051 | − | 7.25529i | −0.851961 | − | 0.523605i | ||||
\(193\) | −2.34723 | + | 4.06553i | −0.168958 | + | 0.292643i | −0.938054 | − | 0.346490i | \(-0.887373\pi\) |
0.769096 | + | 0.639133i | \(0.220707\pi\) | |||||||
\(194\) | 6.47173 | + | 2.85838i | 0.464643 | + | 0.205220i | ||||
\(195\) | 12.9892 | + | 10.3676i | 0.930173 | + | 0.742440i | ||||
\(196\) | 2.16888 | + | 2.38018i | 0.154920 | + | 0.170013i | ||||
\(197\) | −14.3226 | + | 14.3226i | −1.02044 | + | 1.02044i | −0.0206566 | + | 0.999787i | \(0.506576\pi\) |
−0.999787 | + | 0.0206566i | \(0.993424\pi\) | |||||||
\(198\) | −10.4599 | − | 5.10654i | −0.743353 | − | 0.362906i | ||||
\(199\) | −14.4965 | −1.02763 | −0.513816 | − | 0.857901i | \(-0.671768\pi\) | ||||
−0.513816 | + | 0.857901i | \(0.671768\pi\) | |||||||
\(200\) | 22.4387 | + | 19.8445i | 1.58665 | + | 1.40322i | ||||
\(201\) | 10.0683 | + | 13.6542i | 0.710160 | + | 0.963096i | ||||
\(202\) | −14.4164 | + | 5.58314i | −1.01433 | + | 0.392829i | ||||
\(203\) | 24.8305 | − | 6.65332i | 1.74276 | − | 0.466971i | ||||
\(204\) | 0.655646 | + | 10.0178i | 0.0459044 | + | 0.701388i | ||||
\(205\) | 5.68844 | + | 1.52421i | 0.397298 | + | 0.106456i | ||||
\(206\) | 0.0978753 | + | 0.905334i | 0.00681930 | + | 0.0630776i | ||||
\(207\) | 6.99702 | − | 1.59072i | 0.486327 | − | 0.110563i | ||||
\(208\) | 3.37536 | − | 9.11552i | 0.234039 | − | 0.632047i | ||||
\(209\) | 6.71710 | − | 3.87812i | 0.464632 | − | 0.268255i | ||||
\(210\) | 27.6992 | − | 6.17846i | 1.91143 | − | 0.426354i | ||||
\(211\) | 6.39179 | − | 1.71268i | 0.440029 | − | 0.117905i | −0.0320010 | − | 0.999488i | \(-0.510188\pi\) |
0.472030 | + | 0.881582i | \(0.343521\pi\) | |||||||
\(212\) | −6.72873 | − | 13.0141i | −0.462131 | − | 0.893811i | ||||
\(213\) | −7.50499 | + | 2.94178i | −0.514234 | + | 0.201568i | ||||
\(214\) | −7.39442 | − | 1.14865i | −0.505472 | − | 0.0785199i | ||||
\(215\) | − | 19.3957i | − | 1.32277i | ||||||
\(216\) | −1.86164 | + | 14.5786i | −0.126669 | + | 0.991945i | ||||
\(217\) | 1.48769i | 0.100991i | ||||||||
\(218\) | 1.84462 | − | 11.8748i | 0.124934 | − | 0.804260i | ||||
\(219\) | 7.93229 | − | 3.10927i | 0.536014 | − | 0.210105i | ||||
\(220\) | 6.57251 | − | 20.6448i | 0.443119 | − | 1.39187i | ||||
\(221\) | −6.80265 | + | 1.82276i | −0.457596 | + | 0.122612i | ||||
\(222\) | 1.02872 | + | 4.61193i | 0.0690429 | + | 0.309532i | ||||
\(223\) | −1.59599 | + | 0.921443i | −0.106875 | + | 0.0617044i | −0.552485 | − | 0.833523i | \(-0.686320\pi\) |
0.445610 | + | 0.895227i | \(0.352987\pi\) | |||||||
\(224\) | −8.51209 | − | 14.2501i | −0.568738 | − | 0.952128i | ||||
\(225\) | 9.39099 | − | 30.3525i | 0.626066 | − | 2.02350i | ||||
\(226\) | 23.4417 | − | 2.53428i | 1.55932 | − | 0.168578i | ||||
\(227\) | −0.687012 | − | 0.184084i | −0.0455986 | − | 0.0122181i | 0.235948 | − | 0.971766i | \(-0.424181\pi\) |
−0.281546 | + | 0.959548i | \(0.590847\pi\) | |||||||
\(228\) | −7.36240 | − | 6.45789i | −0.487587 | − | 0.427684i | ||||
\(229\) | −7.40562 | + | 1.98433i | −0.489377 | + | 0.131128i | −0.495066 | − | 0.868856i | \(-0.664856\pi\) |
0.00568843 | + | 0.999984i | \(0.498189\pi\) | |||||||
\(230\) | 4.82346 | + | 12.4548i | 0.318049 | + | 0.821244i | ||||
\(231\) | −8.27520 | − | 11.2226i | −0.544468 | − | 0.738390i | ||||
\(232\) | −24.7325 | + | 1.51738i | −1.62377 | + | 0.0996207i | ||||
\(233\) | −1.36925 | −0.0897024 | −0.0448512 | − | 0.998994i | \(-0.514281\pi\) | ||||
−0.0448512 | + | 0.998994i | \(0.514281\pi\) | |||||||
\(234\) | −10.2852 | + | 0.715297i | −0.672363 | + | 0.0467604i | ||||
\(235\) | 18.1929 | − | 18.1929i | 1.18677 | − | 1.18677i | ||||
\(236\) | 0.238358 | − | 5.13150i | 0.0155158 | − | 0.334032i | ||||
\(237\) | 5.64701 | + | 4.50730i | 0.366812 | + | 0.292780i | ||||
\(238\) | −4.85884 | + | 11.0010i | −0.314952 | + | 0.713088i | ||||
\(239\) | 0.773627 | − | 1.33996i | 0.0500418 | − | 0.0866749i | −0.839919 | − | 0.542711i | \(-0.817398\pi\) |
0.889961 | + | 0.456036i | \(0.150731\pi\) | |||||||
\(240\) | −27.3511 | + | 0.518040i | −1.76551 | + | 0.0334393i | ||||
\(241\) | 3.83660 | + | 6.64519i | 0.247137 | + | 0.428054i | 0.962730 | − | 0.270463i | \(-0.0871769\pi\) |
−0.715593 | + | 0.698517i | \(0.753844\pi\) | |||||||
\(242\) | 4.88308 | − | 0.527908i | 0.313896 | − | 0.0339352i | ||||
\(243\) | 14.9057 | − | 4.56286i | 0.956202 | − | 0.292707i | ||||
\(244\) | −12.4959 | + | 19.4946i | −0.799965 | + | 1.24801i | ||||
\(245\) | 6.14075 | + | 1.64541i | 0.392318 | + | 0.105121i | ||||
\(246\) | −3.23838 | + | 1.69114i | −0.206472 | + | 0.107823i | ||||
\(247\) | 3.43505 | − | 5.94968i | 0.218567 | − | 0.378569i | ||||
\(248\) | 0.285632 | − | 1.40528i | 0.0181376 | − | 0.0892353i | ||||
\(249\) | −2.51855 | − | 22.4391i | −0.159606 | − | 1.42202i | ||||
\(250\) | 30.8485 | + | 4.79200i | 1.95103 | + | 0.303073i | ||||
\(251\) | 5.46632 | + | 5.46632i | 0.345031 | + | 0.345031i | 0.858255 | − | 0.513224i | \(-0.171549\pi\) |
−0.513224 | + | 0.858255i | \(0.671549\pi\) | |||||||
\(252\) | −10.0608 | + | 14.4479i | −0.633772 | + | 0.910134i | ||||
\(253\) | 4.64014 | − | 4.64014i | 0.291723 | − | 0.291723i | ||||
\(254\) | −15.0216 | − | 20.5468i | −0.942538 | − | 1.28922i | ||||
\(255\) | 11.7627 | + | 15.9522i | 0.736609 | + | 0.998965i | ||||
\(256\) | 5.30459 | + | 15.0951i | 0.331537 | + | 0.943442i | ||||
\(257\) | −20.5918 | − | 11.8887i | −1.28448 | − | 0.741596i | −0.306818 | − | 0.951768i | \(-0.599264\pi\) |
−0.977664 | + | 0.210172i | \(0.932598\pi\) | |||||||
\(258\) | 8.14039 | + | 8.86058i | 0.506798 | + | 0.551636i | ||||
\(259\) | −1.46504 | + | 5.46761i | −0.0910333 | + | 0.339741i | ||||
\(260\) | −4.10141 | − | 18.7471i | −0.254359 | − | 1.16264i | ||||
\(261\) | 12.2609 | + | 23.2469i | 0.758929 | + | 1.43895i | ||||
\(262\) | 19.8594 | + | 15.9844i | 1.22692 | + | 0.987517i | ||||
\(263\) | −6.13704 | + | 3.54322i | −0.378426 | + | 0.218484i | −0.677133 | − | 0.735860i | \(-0.736778\pi\) |
0.298707 | + | 0.954345i | \(0.403445\pi\) | |||||||
\(264\) | 5.66211 | + | 12.1897i | 0.348479 | + | 0.750225i | ||||
\(265\) | −25.0490 | − | 14.4621i | −1.53875 | − | 0.888397i | ||||
\(266\) | −4.23677 | − | 10.9399i | −0.259773 | − | 0.670767i | ||||
\(267\) | −4.63535 | − | 11.8256i | −0.283679 | − | 0.723713i | ||||
\(268\) | 0.908947 | − | 19.5683i | 0.0555228 | − | 1.19532i | ||||
\(269\) | −20.6616 | − | 20.6616i | −1.25976 | − | 1.25976i | −0.951207 | − | 0.308553i | \(-0.900155\pi\) |
−0.308553 | − | 0.951207i | \(-0.599845\pi\) | |||||||
\(270\) | 12.4377 | + | 26.2145i | 0.756932 | + | 1.59537i | ||||
\(271\) | 16.6901i | 1.01385i | 0.861989 | + | 0.506927i | \(0.169218\pi\) | ||||
−0.861989 | + | 0.506927i | \(0.830782\pi\) | |||||||
\(272\) | 6.70185 | − | 9.45873i | 0.406359 | − | 0.573520i | ||||
\(273\) | −11.3180 | − | 4.94374i | −0.684994 | − | 0.299209i | ||||
\(274\) | 1.02497 | + | 0.452703i | 0.0619210 | + | 0.0273488i | ||||
\(275\) | −7.52024 | − | 28.0659i | −0.453487 | − | 1.69244i | ||||
\(276\) | −7.43080 | − | 3.66535i | −0.447282 | − | 0.220628i | ||||
\(277\) | −1.20367 | + | 4.49217i | −0.0723217 | + | 0.269908i | −0.992613 | − | 0.121326i | \(-0.961285\pi\) |
0.920291 | + | 0.391235i | \(0.127952\pi\) | |||||||
\(278\) | 23.3966 | + | 18.8314i | 1.40324 | + | 1.12943i | ||||
\(279\) | −1.48316 | + | 0.337184i | −0.0887942 | + | 0.0201867i | ||||
\(280\) | −29.3301 | − | 14.6165i | −1.75281 | − | 0.873505i | ||||
\(281\) | 11.4153 | + | 19.7719i | 0.680979 | + | 1.17949i | 0.974682 | + | 0.223594i | \(0.0717790\pi\) |
−0.293703 | + | 0.955897i | \(0.594888\pi\) | |||||||
\(282\) | −0.675533 | + | 15.9467i | −0.0402274 | + | 0.949610i | ||||
\(283\) | 6.68368 | + | 24.9438i | 0.397303 | + | 1.48276i | 0.817822 | + | 0.575472i | \(0.195182\pi\) |
−0.420518 | + | 0.907284i | \(0.638152\pi\) | |||||||
\(284\) | 8.86936 | + | 2.82366i | 0.526300 | + | 0.167554i | ||||
\(285\) | −19.1173 | − | 2.88985i | −1.13241 | − | 0.171180i | ||||
\(286\) | −7.61144 | + | 5.56467i | −0.450074 | + | 0.329046i | ||||
\(287\) | −4.37643 | −0.258333 | ||||||||
\(288\) | 12.2775 | − | 11.7160i | 0.723457 | − | 0.690369i | ||||
\(289\) | 8.60110 | 0.505947 | ||||||||
\(290\) | −39.4915 | + | 28.8719i | −2.31902 | + | 1.69542i | ||||
\(291\) | −5.40538 | + | 6.77217i | −0.316869 | + | 0.396992i | ||||
\(292\) | −9.37434 | − | 2.98443i | −0.548592 | − | 0.174650i | ||||
\(293\) | −0.741431 | − | 2.76706i | −0.0433149 | − | 0.161653i | 0.940881 | − | 0.338738i | \(-0.110000\pi\) |
−0.984196 | + | 0.177085i | \(0.943333\pi\) | |||||||
\(294\) | −3.49587 | + | 1.82560i | −0.203884 | + | 0.106471i | ||||
\(295\) | −5.07090 | − | 8.78306i | −0.295239 | − | 0.511370i | ||||
\(296\) | 2.43366 | − | 4.88346i | 0.141453 | − | 0.283845i | ||||
\(297\) | 9.31280 | − | 10.7936i | 0.540383 | − | 0.626307i | ||||
\(298\) | −12.8917 | − | 10.3762i | −0.746794 | − | 0.601077i | ||||
\(299\) | 1.50437 | − | 5.61438i | 0.0869998 | − | 0.324688i | ||||
\(300\) | −30.5062 | + | 20.3794i | −1.76128 | + | 1.17661i | ||||
\(301\) | 3.73054 | + | 13.9226i | 0.215025 | + | 0.802484i | ||||
\(302\) | −10.9708 | − | 4.84551i | −0.631299 | − | 0.278828i | ||||
\(303\) | −2.11190 | − | 18.8161i | −0.121326 | − | 1.08096i | ||||
\(304\) | 1.90165 | + | 11.1473i | 0.109067 | + | 0.639343i | ||||
\(305\) | 45.7152i | 2.61764i | ||||||||
\(306\) | −12.0687 | − | 2.35067i | −0.689924 | − | 0.134379i | ||||
\(307\) | −7.67329 | − | 7.67329i | −0.437938 | − | 0.437938i | 0.453380 | − | 0.891317i | \(-0.350218\pi\) |
−0.891317 | + | 0.453380i | \(0.850218\pi\) | |||||||
\(308\) | −0.747072 | + | 16.0834i | −0.0425684 | + | 0.916435i | ||||
\(309\) | −1.10274 | − | 0.166694i | −0.0627325 | − | 0.00948289i | ||||
\(310\) | −1.02243 | − | 2.64004i | −0.0580699 | − | 0.149944i | ||||
\(311\) | 15.0777 | + | 8.70513i | 0.854980 | + | 0.493623i | 0.862328 | − | 0.506350i | \(-0.169006\pi\) |
−0.00734815 | + | 0.999973i | \(0.502339\pi\) | |||||||
\(312\) | 9.74183 | + | 6.84291i | 0.551522 | + | 0.387403i | ||||
\(313\) | 21.3027 | − | 12.2991i | 1.20410 | − | 0.695189i | 0.242638 | − | 0.970117i | \(-0.421987\pi\) |
0.961465 | + | 0.274928i | \(0.0886540\pi\) | |||||||
\(314\) | −4.03203 | − | 3.24529i | −0.227541 | − | 0.183142i | ||||
\(315\) | −1.32941 | + | 34.7328i | −0.0749039 | + | 1.95697i | ||||
\(316\) | −1.78308 | − | 8.15024i | −0.100306 | − | 0.458487i | ||||
\(317\) | −2.14183 | + | 7.99342i | −0.120297 | + | 0.448955i | −0.999629 | − | 0.0272552i | \(-0.991323\pi\) |
0.879331 | + | 0.476211i | \(0.157990\pi\) | |||||||
\(318\) | 17.5130 | − | 3.90636i | 0.982078 | − | 0.219058i | ||||
\(319\) | 20.8152 | + | 12.0177i | 1.16543 | + | 0.672860i | ||||
\(320\) | 24.8990 | + | 19.4382i | 1.39190 | + | 1.08663i | ||||
\(321\) | 3.66857 | − | 8.39862i | 0.204759 | − | 0.468765i | ||||
\(322\) | −5.85791 | − | 8.01254i | −0.326448 | − | 0.446521i | ||||
\(323\) | 5.79343 | − | 5.79343i | 0.322355 | − | 0.322355i | ||||
\(324\) | −16.6842 | − | 6.75555i | −0.926900 | − | 0.375308i | ||||
\(325\) | −18.1983 | − | 18.1983i | −1.00946 | − | 1.00946i | ||||
\(326\) | −7.62969 | − | 1.18519i | −0.422569 | − | 0.0656418i | ||||
\(327\) | 13.4874 | + | 5.89138i | 0.745856 | + | 0.325794i | ||||
\(328\) | 4.13401 | + | 0.840263i | 0.228262 | + | 0.0463958i | ||||
\(329\) | −9.55998 | + | 16.5584i | −0.527059 | + | 0.912893i | ||||
\(330\) | 22.3979 | + | 14.2282i | 1.23296 | + | 0.783239i | ||||
\(331\) | −25.5364 | − | 6.84245i | −1.40361 | − | 0.376095i | −0.523968 | − | 0.851738i | \(-0.675549\pi\) |
−0.879639 | + | 0.475643i | \(0.842216\pi\) | |||||||
\(332\) | −14.0702 | + | 21.9508i | −0.772205 | + | 1.20471i | ||||
\(333\) | −5.78301 | − | 0.221347i | −0.316907 | − | 0.0121298i | ||||
\(334\) | −9.71236 | + | 1.05000i | −0.531437 | + | 0.0574535i | ||||
\(335\) | −19.3372 | − | 33.4930i | −1.05650 | − | 1.82992i | ||||
\(336\) | 19.5335 | − | 5.63254i | 1.06564 | − | 0.307280i | ||||
\(337\) | 12.3368 | − | 21.3679i | 0.672026 | − | 1.16398i | −0.305302 | − | 0.952256i | \(-0.598757\pi\) |
0.977329 | − | 0.211728i | \(-0.0679092\pi\) | |||||||
\(338\) | 4.05367 | − | 9.17800i | 0.220491 | − | 0.499217i | ||||
\(339\) | −4.31619 | + | 28.5531i | −0.234423 | + | 1.55079i | ||||
\(340\) | 1.06192 | − | 22.8615i | 0.0575906 | − | 1.23984i | ||||
\(341\) | −0.983569 | + | 0.983569i | −0.0532632 | + | 0.0532632i | ||||
\(342\) | 9.94629 | − | 6.70338i | 0.537834 | − | 0.362477i | ||||
\(343\) | 15.8156 | 0.853964 | ||||||||
\(344\) | −0.850800 | − | 13.8676i | −0.0458721 | − | 0.747691i | ||||
\(345\) | −16.2558 | + | 1.82454i | −0.875185 | + | 0.0982300i | ||||
\(346\) | −2.04550 | − | 5.28175i | −0.109967 | − | 0.283949i | ||||
\(347\) | 23.0228 | − | 6.16895i | 1.23593 | − | 0.331166i | 0.419044 | − | 0.907966i | \(-0.362365\pi\) |
0.816886 | + | 0.576799i | \(0.195699\pi\) | |||||||
\(348\) | 5.92342 | − | 29.7642i | 0.317529 | − | 1.59553i | ||||
\(349\) | −25.9130 | − | 6.94337i | −1.38709 | − | 0.371670i | −0.513400 | − | 0.858149i | \(-0.671614\pi\) |
−0.873692 | + | 0.486479i | \(0.838281\pi\) | |||||||
\(350\) | −43.6937 | + | 4.72371i | −2.33553 | + | 0.252493i | ||||
\(351\) | 2.36348 | − | 12.4040i | 0.126153 | − | 0.662075i | ||||
\(352\) | 3.79365 | − | 15.0490i | 0.202202 | − | 0.802115i | ||||
\(353\) | 5.54075 | − | 3.19895i | 0.294904 | − | 0.170263i | −0.345247 | − | 0.938512i | \(-0.612205\pi\) |
0.640151 | + | 0.768249i | \(0.278872\pi\) | |||||||
\(354\) | 6.00281 | + | 1.88413i | 0.319046 | + | 0.100140i | ||||
\(355\) | 17.7502 | − | 4.75614i | 0.942080 | − | 0.252430i | ||||
\(356\) | −4.44923 | + | 13.9754i | −0.235809 | + | 0.740694i | ||||
\(357\) | −11.5117 | − | 9.18835i | −0.609264 | − | 0.486299i | ||||
\(358\) | −3.08917 | + | 19.8866i | −0.163268 | + | 1.05104i | ||||
\(359\) | − | 17.2363i | − | 0.909697i | −0.890569 | − | 0.454849i | \(-0.849693\pi\) | ||
0.890569 | − | 0.454849i | \(-0.150307\pi\) | |||||||
\(360\) | 7.92436 | − | 32.5535i | 0.417651 | − | 1.71572i | ||||
\(361\) | − | 11.0076i | − | 0.579345i | ||||||
\(362\) | 29.7128 | + | 4.61557i | 1.56167 | + | 0.242589i | ||||
\(363\) | −0.899094 | + | 5.94781i | −0.0471902 | + | 0.312179i | ||||
\(364\) | 6.54986 | + | 12.6681i | 0.343306 | + | 0.663990i | ||||
\(365\) | −18.7608 | + | 5.02693i | −0.981983 | + | 0.263121i | ||||
\(366\) | −19.1867 | − | 20.8842i | −1.00291 | − | 1.09163i | ||||
\(367\) | 1.26366 | − | 0.729575i | 0.0659625 | − | 0.0380835i | −0.466656 | − | 0.884439i | \(-0.654541\pi\) |
0.532619 | + | 0.846355i | \(0.321208\pi\) | |||||||
\(368\) | 3.99503 | + | 8.69340i | 0.208255 | + | 0.453175i | ||||
\(369\) | −0.991918 | − | 4.36310i | −0.0516372 | − | 0.227134i | ||||
\(370\) | −1.15782 | − | 10.7096i | −0.0601920 | − | 0.556768i | ||||
\(371\) | 20.7623 | + | 5.56323i | 1.07792 | + | 0.288829i | ||||
\(372\) | 1.57510 | + | 0.776942i | 0.0816654 | + | 0.0402826i | ||||
\(373\) | 7.77189 | − | 2.08247i | 0.402413 | − | 0.107826i | −0.0519349 | − | 0.998650i | \(-0.516539\pi\) |
0.454348 | + | 0.890824i | \(0.349872\pi\) | |||||||
\(374\) | −10.4856 | + | 4.06082i | −0.542196 | + | 0.209980i | ||||
\(375\) | −15.3048 | + | 35.0379i | −0.790335 | + | 1.80935i | ||||
\(376\) | 12.2096 | − | 13.8057i | 0.629661 | − | 0.711973i | ||||
\(377\) | 21.2893 | 1.09646 | ||||||||
\(378\) | −13.9701 | − | 16.4250i | −0.718542 | − | 0.844812i | ||||
\(379\) | −16.4748 | + | 16.4748i | −0.846255 | + | 0.846255i | −0.989664 | − | 0.143409i | \(-0.954194\pi\) |
0.143409 | + | 0.989664i | \(0.454194\pi\) | |||||||
\(380\) | 15.0371 | + | 16.5020i | 0.771385 | + | 0.846537i | ||||
\(381\) | 29.0226 | − | 11.3762i | 1.48687 | − | 0.582819i | ||||
\(382\) | 28.2035 | + | 12.4567i | 1.44302 | + | 0.637341i | ||||
\(383\) | 5.19654 | − | 9.00067i | 0.265531 | − | 0.459913i | −0.702172 | − | 0.712008i | \(-0.747786\pi\) |
0.967703 | + | 0.252095i | \(0.0811195\pi\) | |||||||
\(384\) | −19.5329 | + | 1.57016i | −0.996785 | + | 0.0801269i | ||||
\(385\) | 15.8934 | + | 27.5282i | 0.810004 | + | 1.40297i | ||||
\(386\) | 0.713580 | + | 6.60052i | 0.0363203 | + | 0.335958i | ||||
\(387\) | −13.0346 | + | 6.87473i | −0.662588 | + | 0.349462i | ||||
\(388\) | 9.77418 | − | 2.13836i | 0.496209 | − | 0.108559i | ||||
\(389\) | 23.2989 | + | 6.24292i | 1.18130 | + | 0.316529i | 0.795442 | − | 0.606029i | \(-0.207239\pi\) |
0.385859 | + | 0.922558i | \(0.373905\pi\) | |||||||
\(390\) | 23.4824 | + | 0.994760i | 1.18908 | + | 0.0503717i | ||||
\(391\) | 3.46590 | − | 6.00311i | 0.175278 | − | 0.303590i | ||||
\(392\) | 4.46271 | + | 0.907075i | 0.225401 | + | 0.0458142i | ||||
\(393\) | −25.1295 | + | 18.5298i | −1.26761 | + | 0.934704i | ||||
\(394\) | −4.39700 | + | 28.3057i | −0.221518 | + | 1.42602i | ||||
\(395\) | −11.6469 | − | 11.6469i | −0.586019 | − | 0.586019i | ||||
\(396\) | −16.2037 | + | 2.90049i | −0.814267 | + | 0.145755i | ||||
\(397\) | 8.37131 | − | 8.37131i | 0.420144 | − | 0.420144i | −0.465109 | − | 0.885253i | \(-0.653985\pi\) |
0.885253 | + | 0.465109i | \(0.153985\pi\) | |||||||
\(398\) | −16.5499 | + | 12.0995i | −0.829572 | + | 0.606494i | ||||
\(399\) | 14.2786 | − | 1.60262i | 0.714824 | − | 0.0802312i | ||||
\(400\) | 42.1803 | + | 3.92702i | 2.10902 | + | 0.196351i | ||||
\(401\) | −3.16266 | − | 1.82596i | −0.157936 | − | 0.0911842i | 0.418949 | − | 0.908010i | \(-0.362399\pi\) |
−0.576885 | + | 0.816825i | \(0.695732\pi\) | |||||||
\(402\) | 22.8909 | + | 7.18486i | 1.14170 | + | 0.358348i | ||||
\(403\) | −0.318880 | + | 1.19008i | −0.0158846 | + | 0.0592820i | ||||
\(404\) | −11.7985 | + | 18.4066i | −0.586996 | + | 0.915764i | ||||
\(405\) | −34.9283 | + | 6.54681i | −1.73560 | + | 0.325313i | ||||
\(406\) | 22.7945 | − | 28.3205i | 1.13127 | − | 1.40552i | ||||
\(407\) | −4.58345 | + | 2.64626i | −0.227193 | + | 0.131170i | ||||
\(408\) | 9.10990 | + | 10.8896i | 0.451007 | + | 0.539115i | ||||
\(409\) | 12.1263 | + | 7.00113i | 0.599607 | + | 0.346184i | 0.768887 | − | 0.639385i | \(-0.220811\pi\) |
−0.169280 | + | 0.985568i | \(0.554144\pi\) | |||||||
\(410\) | 7.76638 | − | 3.00774i | 0.383554 | − | 0.148542i | ||||
\(411\) | −0.856089 | + | 1.07256i | −0.0422277 | + | 0.0529054i | ||||
\(412\) | 0.867376 | + | 0.951881i | 0.0427326 | + | 0.0468958i | ||||
\(413\) | 5.32931 | + | 5.32931i | 0.262238 | + | 0.262238i | ||||
\(414\) | 6.66044 | − | 7.65610i | 0.327343 | − | 0.376277i | ||||
\(415\) | 51.4750i | 2.52681i | ||||||||
\(416\) | −3.75480 | − | 13.2240i | −0.184094 | − | 0.648358i | ||||
\(417\) | −29.6053 | + | 21.8302i | −1.44978 | + | 1.06903i | ||||
\(418\) | 4.43169 | − | 10.0339i | 0.216761 | − | 0.490773i | ||||
\(419\) | 0.161107 | + | 0.601258i | 0.00787057 | + | 0.0293734i | 0.969749 | − | 0.244102i | \(-0.0784933\pi\) |
−0.961879 | + | 0.273476i | \(0.911827\pi\) | |||||||
\(420\) | 26.4659 | − | 30.1728i | 1.29140 | − | 1.47228i | ||||
\(421\) | −4.65440 | + | 17.3705i | −0.226842 | + | 0.846585i | 0.754816 | + | 0.655936i | \(0.227726\pi\) |
−0.981658 | + | 0.190649i | \(0.938941\pi\) | |||||||
\(422\) | 5.86769 | − | 7.29018i | 0.285635 | − | 0.354881i | ||||
\(423\) | −18.6747 | − | 5.77791i | −0.907995 | − | 0.280932i | ||||
\(424\) | −18.5440 | − | 9.24136i | −0.900578 | − | 0.448800i | ||||
\(425\) | −15.3463 | − | 26.5806i | −0.744407 | − | 1.28935i | ||||
\(426\) | −6.11270 | + | 9.62252i | −0.296161 | + | 0.466213i | ||||
\(427\) | −8.79280 | − | 32.8152i | −0.425514 | − | 1.58804i | ||||
\(428\) | −9.40054 | + | 4.86040i | −0.454392 | + | 0.234936i | ||||
\(429\) | −4.21424 | − | 10.7513i | −0.203465 | − | 0.519075i | ||||
\(430\) | −16.1886 | − | 22.1430i | −0.780684 | − | 1.06783i | ||||
\(431\) | −6.34380 | −0.305570 | −0.152785 | − | 0.988259i | \(-0.548824\pi\) | ||||
−0.152785 | + | 0.988259i | \(0.548824\pi\) | |||||||
\(432\) | 10.0427 | + | 18.1974i | 0.483177 | + | 0.875523i | ||||
\(433\) | 26.7319 | 1.28465 | 0.642327 | − | 0.766430i | \(-0.277969\pi\) | ||||
0.642327 | + | 0.766430i | \(0.277969\pi\) | |||||||
\(434\) | 1.24170 | + | 1.69841i | 0.0596034 | + | 0.0815265i | ||||
\(435\) | −21.8653 | − | 55.7822i | −1.04836 | − | 2.67455i | ||||
\(436\) | −7.80536 | − | 15.0964i | −0.373809 | − | 0.722987i | ||||
\(437\) | 1.75013 | + | 6.53158i | 0.0837202 | + | 0.312448i | ||||
\(438\) | 6.46072 | − | 10.1704i | 0.308705 | − | 0.485959i | ||||
\(439\) | 0.347800 | + | 0.602407i | 0.0165996 | + | 0.0287513i | 0.874206 | − | 0.485555i | \(-0.161383\pi\) |
−0.857606 | + | 0.514307i | \(0.828049\pi\) | |||||||
\(440\) | −9.72769 | − | 29.0548i | −0.463750 | − | 1.38513i | ||||
\(441\) | −1.07079 | − | 4.71003i | −0.0509899 | − | 0.224287i | ||||
\(442\) | −6.24486 | + | 7.75878i | −0.297037 | + | 0.369048i | ||||
\(443\) | −4.25119 | + | 15.8656i | −0.201980 | + | 0.753800i | 0.788369 | + | 0.615203i | \(0.210926\pi\) |
−0.990349 | + | 0.138597i | \(0.955741\pi\) | |||||||
\(444\) | 5.02378 | + | 4.40658i | 0.238418 | + | 0.209127i | ||||
\(445\) | 7.49422 | + | 27.9688i | 0.355260 | + | 1.32585i | ||||
\(446\) | −1.05297 | + | 2.38405i | −0.0498596 | + | 0.112888i | ||||
\(447\) | 16.3127 | − | 12.0285i | 0.771565 | − | 0.568931i | ||||
\(448\) | −21.6117 | − | 9.16402i | −1.02106 | − | 0.432959i | ||||
\(449\) | − | 12.0759i | − | 0.569896i | −0.958543 | − | 0.284948i | \(-0.908024\pi\) | ||
0.958543 | − | 0.284948i | \(-0.0919763\pi\) | |||||||
\(450\) | −14.6125 | − | 42.4900i | −0.688839 | − | 2.00300i | ||||
\(451\) | −2.89343 | − | 2.89343i | −0.136247 | − | 0.136247i | ||||
\(452\) | 24.6470 | − | 22.4589i | 1.15930 | − | 1.05638i | ||||
\(453\) | 9.16314 | − | 11.4801i | 0.430522 | − | 0.539383i | ||||
\(454\) | −0.937972 | + | 0.363255i | −0.0440212 | + | 0.0170484i | ||||
\(455\) | 24.3831 | + | 14.0776i | 1.14310 | + | 0.659969i | ||||
\(456\) | −13.7954 | − | 1.22761i | −0.646027 | − | 0.0574880i | ||||
\(457\) | 10.6069 | − | 6.12391i | 0.496171 | − | 0.286464i | −0.230960 | − | 0.972963i | \(-0.574187\pi\) |
0.727131 | + | 0.686499i | \(0.240853\pi\) | |||||||
\(458\) | −6.79839 | + | 8.44651i | −0.317668 | + | 0.394679i | ||||
\(459\) | 6.55124 | − | 13.5592i | 0.305786 | − | 0.632888i | ||||
\(460\) | 15.9021 | + | 10.1931i | 0.741438 | + | 0.475255i | ||||
\(461\) | −8.12298 | + | 30.3154i | −0.378325 | + | 1.41193i | 0.470101 | + | 0.882613i | \(0.344217\pi\) |
−0.848426 | + | 0.529314i | \(0.822449\pi\) | |||||||
\(462\) | −18.8143 | − | 5.90531i | −0.875319 | − | 0.274740i | ||||
\(463\) | −30.9163 | − | 17.8495i | −1.43680 | − | 0.829538i | −0.439176 | − | 0.898401i | \(-0.644729\pi\) |
−0.997626 | + | 0.0688633i | \(0.978063\pi\) | |||||||
\(464\) | −26.9693 | + | 22.3753i | −1.25202 | + | 1.03875i | ||||
\(465\) | 3.44574 | − | 0.386747i | 0.159793 | − | 0.0179350i | ||||
\(466\) | −1.56320 | + | 1.14284i | −0.0724138 | + | 0.0529412i | ||||
\(467\) | 7.64586 | − | 7.64586i | 0.353808 | − | 0.353808i | −0.507716 | − | 0.861524i | \(-0.669510\pi\) |
0.861524 | + | 0.507716i | \(0.169510\pi\) | |||||||
\(468\) | −11.1450 | + | 9.40114i | −0.515179 | + | 0.434568i | ||||
\(469\) | 20.3226 | + | 20.3226i | 0.938411 | + | 0.938411i | ||||
\(470\) | 5.58517 | − | 35.9545i | 0.257624 | − | 1.65846i | ||||
\(471\) | 5.10201 | − | 3.76208i | 0.235088 | − | 0.173348i | ||||
\(472\) | −4.01089 | − | 6.05731i | −0.184616 | − | 0.278811i | ||||
\(473\) | −6.73836 | + | 11.6712i | −0.309830 | + | 0.536641i | ||||
\(474\) | 10.2089 | + | 0.432470i | 0.468911 | + | 0.0198640i | ||||
\(475\) | 28.9206 | + | 7.74926i | 1.32697 | + | 0.355560i | ||||
\(476\) | 3.63490 | + | 16.6147i | 0.166605 | + | 0.761533i | ||||
\(477\) | −0.840526 | + | 21.9599i | −0.0384851 | + | 1.00548i | ||||
\(478\) | −0.235189 | − | 2.17547i | −0.0107573 | − | 0.0995038i | ||||
\(479\) | 3.03628 | + | 5.25898i | 0.138731 | + | 0.240289i | 0.927017 | − | 0.375020i | \(-0.122364\pi\) |
−0.788286 | + | 0.615310i | \(0.789031\pi\) | |||||||
\(480\) | −30.7930 | + | 23.4200i | −1.40550 | + | 1.06897i | ||||
\(481\) | −2.34393 | + | 4.05980i | −0.106874 | + | 0.185111i | ||||
\(482\) | 9.92645 | + | 4.38424i | 0.452137 | + | 0.199697i | ||||
\(483\) | 11.3178 | − | 4.43632i | 0.514978 | − | 0.201859i | ||||
\(484\) | 5.13414 | − | 4.67835i | 0.233370 | − | 0.212652i | ||||
\(485\) | 13.9675 | − | 13.9675i | 0.634234 | − | 0.634234i | ||||
\(486\) | 13.2087 | − | 17.6502i | 0.599158 | − | 0.800631i | ||||
\(487\) | −7.15811 | −0.324365 | −0.162183 | − | 0.986761i | \(-0.551853\pi\) | ||||
−0.162183 | + | 0.986761i | \(0.551853\pi\) | |||||||
\(488\) | 2.00532 | + | 32.6856i | 0.0907764 | + | 1.47961i | ||||
\(489\) | 3.78529 | − | 8.66584i | 0.171177 | − | 0.391883i | ||||
\(490\) | 8.38391 | − | 3.24690i | 0.378746 | − | 0.146680i | ||||
\(491\) | −27.0285 | + | 7.24226i | −1.21978 | + | 0.326838i | −0.810591 | − | 0.585612i | \(-0.800854\pi\) |
−0.409187 | + | 0.912451i | \(0.634187\pi\) | |||||||
\(492\) | −2.28558 | + | 4.63360i | −0.103042 | + | 0.208899i | ||||
\(493\) | 24.5241 | + | 6.57122i | 1.10451 | + | 0.295953i | ||||
\(494\) | −1.04429 | − | 9.65950i | −0.0469846 | − | 0.434602i | ||||
\(495\) | −23.8421 | + | 22.0843i | −1.07162 | + | 0.992614i | ||||
\(496\) | −0.846826 | − | 1.84274i | −0.0380236 | − | 0.0827413i | ||||
\(497\) | −11.8266 | + | 6.82809i | −0.530495 | + | 0.306282i | ||||
\(498\) | −21.6041 | − | 23.5155i | −0.968103 | − | 1.05375i | ||||
\(499\) | −42.8097 | + | 11.4708i | −1.91643 | + | 0.513505i | −0.925573 | + | 0.378568i | \(0.876416\pi\) |
−0.990854 | + | 0.134937i | \(0.956917\pi\) | |||||||
\(500\) | 39.2178 | − | 20.2770i | 1.75387 | − | 0.906813i | ||||
\(501\) | 1.78828 | − | 11.8301i | 0.0798945 | − | 0.528529i | ||||
\(502\) | 10.8031 | + | 1.67815i | 0.482165 | + | 0.0748993i | ||||
\(503\) | 3.93000i | 0.175230i | 0.996154 | + | 0.0876151i | \(0.0279245\pi\) | ||||
−0.996154 | + | 0.0876151i | \(0.972075\pi\) | |||||||
\(504\) | 0.573058 | + | 24.8917i | 0.0255260 | + | 1.10876i | ||||
\(505\) | 43.1638i | 1.92077i | ||||||||
\(506\) | 1.42451 | − | 9.17030i | 0.0633273 | − | 0.407670i | ||||
\(507\) | 9.60408 | + | 7.66573i | 0.426532 | + | 0.340447i | ||||
\(508\) | −34.2987 | − | 10.9194i | −1.52176 | − | 0.484470i | ||||
\(509\) | 40.4609 | − | 10.8415i | 1.79340 | − | 0.480539i | 0.800481 | − | 0.599358i | \(-0.204577\pi\) |
0.992916 | + | 0.118819i | \(0.0379108\pi\) | |||||||
\(510\) | 26.7434 | + | 8.39404i | 1.18422 | + | 0.371694i | ||||
\(511\) | 12.4999 | − | 7.21684i | 0.552965 | − | 0.319254i | ||||
\(512\) | 18.6551 | + | 12.8058i | 0.824446 | + | 0.565941i | ||||
\(513\) | 4.83397 | + | 13.8719i | 0.213425 | + | 0.612458i | ||||
\(514\) | −33.4315 | + | 3.61427i | −1.47460 | + | 0.159418i | ||||
\(515\) | 2.45580 | + | 0.658030i | 0.108216 | + | 0.0289963i | ||||
\(516\) | 16.6889 | + | 3.32129i | 0.734690 | + | 0.146212i | ||||
\(517\) | −17.2679 | + | 4.62691i | −0.759441 | + | 0.203491i | ||||
\(518\) | 2.89098 | + | 7.46489i | 0.127022 | + | 0.327988i | ||||
\(519\) | 6.89368 | − | 0.773740i | 0.302599 | − | 0.0339634i | ||||
\(520\) | −20.3296 | − | 17.9793i | −0.891512 | − | 0.788444i | ||||
\(521\) | 26.1826 | 1.14708 | 0.573540 | − | 0.819178i | \(-0.305570\pi\) | ||||
0.573540 | + | 0.819178i | \(0.305570\pi\) | |||||||
\(522\) | 33.4006 | + | 16.3062i | 1.46191 | + | 0.713705i | ||||
\(523\) | 7.29036 | − | 7.29036i | 0.318785 | − | 0.318785i | −0.529515 | − | 0.848300i | \(-0.677626\pi\) |
0.848300 | + | 0.529515i | \(0.177626\pi\) | |||||||
\(524\) | 36.0138 | + | 1.67284i | 1.57327 | + | 0.0730783i | ||||
\(525\) | 8.04507 | − | 53.2208i | 0.351116 | − | 2.32275i | ||||
\(526\) | −4.04898 | + | 9.16739i | −0.176544 | + | 0.399717i | ||||
\(527\) | −0.734665 | + | 1.27248i | −0.0320025 | + | 0.0554300i | ||||
\(528\) | 16.6383 | + | 9.19048i | 0.724088 | + | 0.399964i | ||||
\(529\) | −8.63952 | − | 14.9641i | −0.375631 | − | 0.650612i | ||||
\(530\) | −40.6679 | + | 4.39659i | −1.76650 | + | 0.190976i | ||||
\(531\) | −4.10519 | + | 6.52096i | −0.178150 | + | 0.282986i | ||||
\(532\) | −13.9679 | − | 8.95326i | −0.605584 | − | 0.388173i | ||||
\(533\) | −3.50093 | − | 0.938073i | −0.151642 | − | 0.0406324i | ||||
\(534\) | −15.1621 | − | 9.63173i | −0.656130 | − | 0.416806i | ||||
\(535\) | −10.4465 | + | 18.0938i | −0.451640 | + | 0.782263i | ||||
\(536\) | −15.2950 | − | 23.0987i | −0.660643 | − | 0.997714i | ||||
\(537\) | −22.5873 | − | 9.86624i | −0.974712 | − | 0.425760i | ||||
\(538\) | −40.8335 | − | 6.34306i | −1.76046 | − | 0.273469i | ||||
\(539\) | −3.12350 | − | 3.12350i | −0.134539 | − | 0.134539i | ||||
\(540\) | 36.0794 | + | 19.5466i | 1.55261 | + | 0.841154i | ||||
\(541\) | 13.6906 | − | 13.6906i | 0.588607 | − | 0.588607i | −0.348647 | − | 0.937254i | \(-0.613359\pi\) |
0.937254 | + | 0.348647i | \(0.113359\pi\) | |||||||
\(542\) | 13.9304 | + | 19.0542i | 0.598363 | + | 0.818450i | ||||
\(543\) | −14.7413 | + | 33.7479i | −0.632609 | + | 1.44826i | ||||
\(544\) | −0.243577 | − | 16.3922i | −0.0104433 | − | 0.702811i | ||||
\(545\) | −29.0570 | − | 16.7761i | −1.24466 | − | 0.718607i | ||||
\(546\) | −17.0474 | + | 3.80252i | −0.729562 | + | 0.162733i | ||||
\(547\) | −7.77408 | + | 29.0133i | −0.332396 | + | 1.24052i | 0.574269 | + | 0.818666i | \(0.305286\pi\) |
−0.906665 | + | 0.421851i | \(0.861380\pi\) | |||||||
\(548\) | 1.54801 | − | 0.338667i | 0.0661276 | − | 0.0144672i | ||||
\(549\) | 30.7224 | − | 16.2036i | 1.31120 | − | 0.691552i | ||||
\(550\) | −32.0107 | − | 25.7646i | −1.36494 | − | 1.09861i | ||||
\(551\) | −21.4491 | + | 12.3836i | −0.913762 | + | 0.527561i | ||||
\(552\) | −11.5426 | + | 2.01759i | −0.491287 | + | 0.0858742i | ||||
\(553\) | 10.6005 | + | 6.12021i | 0.450780 | + | 0.260258i | ||||
\(554\) | 2.37522 | + | 6.13312i | 0.100913 | + | 0.260571i | ||||
\(555\) | 13.0448 | + | 1.97191i | 0.553721 | + | 0.0837027i | ||||
\(556\) | 42.4283 | + | 1.97079i | 1.79936 | + | 0.0835802i | ||||
\(557\) | 1.85284 | + | 1.85284i | 0.0785074 | + | 0.0785074i | 0.745270 | − | 0.666763i | \(-0.232321\pi\) |
−0.666763 | + | 0.745270i | \(0.732321\pi\) | |||||||
\(558\) | −1.41181 | + | 1.62286i | −0.0597667 | + | 0.0687012i | ||||
\(559\) | 11.9370i | 0.504882i | ||||||||
\(560\) | −45.6843 | + | 7.79340i | −1.93051 | + | 0.329331i | ||||
\(561\) | −1.53606 | − | 13.6856i | −0.0648526 | − | 0.577808i | ||||
\(562\) | 29.5348 | + | 13.0447i | 1.24585 | + | 0.550259i | ||||
\(563\) | 7.00420 | + | 26.1400i | 0.295192 | + | 1.10167i | 0.941065 | + | 0.338226i | \(0.109827\pi\) |
−0.645873 | + | 0.763445i | \(0.723506\pi\) | |||||||
\(564\) | 12.5387 | + | 18.7693i | 0.527973 | + | 0.790331i | ||||
\(565\) | 17.0383 | − | 63.5879i | 0.716808 | − | 2.67516i | ||||
\(566\) | 28.4498 | + | 22.8985i | 1.19583 | + | 0.962496i | ||||
\(567\) | 23.8130 | − | 11.4175i | 1.00005 | − | 0.479489i | ||||
\(568\) | 12.4825 | − | 4.17918i | 0.523752 | − | 0.175355i | ||||
\(569\) | −5.84691 | − | 10.1271i | −0.245115 | − | 0.424552i | 0.717049 | − | 0.697023i | \(-0.245492\pi\) |
−0.962164 | + | 0.272471i | \(0.912159\pi\) | |||||||
\(570\) | −24.2373 | + | 12.6571i | −1.01519 | + | 0.530147i | ||||
\(571\) | −11.8200 | − | 44.1127i | −0.494650 | − | 1.84606i | −0.531982 | − | 0.846756i | \(-0.678553\pi\) |
0.0373319 | − | 0.999303i | \(-0.488114\pi\) | |||||||
\(572\) | −4.04503 | + | 12.7058i | −0.169131 | + | 0.531255i | ||||
\(573\) | −23.5564 | + | 29.5128i | −0.984082 | + | 1.23292i | ||||
\(574\) | −4.99635 | + | 3.65279i | −0.208543 | + | 0.152465i | ||||
\(575\) | 25.3314 | 1.05639 | ||||||||
\(576\) | 4.23782 | − | 23.6229i | 0.176576 | − | 0.984287i | ||||
\(577\) | −32.6884 | −1.36083 | −0.680417 | − | 0.732825i | \(-0.738202\pi\) | ||||
−0.680417 | + | 0.732825i | \(0.738202\pi\) | |||||||
\(578\) | 9.81943 | − | 7.17891i | 0.408434 | − | 0.298603i | ||||
\(579\) | −8.03972 | − | 1.21532i | −0.334119 | − | 0.0505068i | ||||
\(580\) | −20.9874 | + | 65.9231i | −0.871454 | + | 2.73731i | ||||
\(581\) | −9.90064 | − | 36.9497i | −0.410748 | − | 1.53293i | ||||
\(582\) | −0.518639 | + | 12.2430i | −0.0214983 | + | 0.507490i | ||||
\(583\) | 10.0487 | + | 17.4048i | 0.416174 | + | 0.720834i | ||||
\(584\) | −13.1931 | + | 4.41713i | −0.545936 | + | 0.182782i | ||||
\(585\) | −8.50830 | + | 27.4996i | −0.351775 | + | 1.13697i | ||||
\(586\) | −3.15598 | − | 2.54017i | −0.130372 | − | 0.104933i | ||||
\(587\) | 7.58567 | − | 28.3101i | 0.313094 | − | 1.16848i | −0.612657 | − | 0.790349i | \(-0.709899\pi\) |
0.925751 | − | 0.378134i | \(-0.123434\pi\) | |||||||
\(588\) | −2.46732 | + | 5.00203i | −0.101750 | + | 0.206280i | ||||
\(589\) | −0.370975 | − | 1.38450i | −0.0152858 | − | 0.0570472i | ||||
\(590\) | −13.1200 | − | 5.79473i | −0.540140 | − | 0.238565i | ||||
\(591\) | −32.1498 | − | 14.0432i | −1.32247 | − | 0.577661i | ||||
\(592\) | −1.29760 | − | 7.60644i | −0.0533312 | − | 0.312623i | ||||
\(593\) | − | 43.9681i | − | 1.80555i | −0.430111 | − | 0.902776i | \(-0.641526\pi\) | ||
0.430111 | − | 0.902776i | \(-0.358474\pi\) | |||||||
\(594\) | 1.62307 | − | 20.0954i | 0.0665955 | − | 0.824524i | ||||
\(595\) | 23.7428 | + | 23.7428i | 0.973360 | + | 0.973360i | ||||
\(596\) | −23.3782 | − | 1.08592i | −0.957610 | − | 0.0444809i | ||||
\(597\) | −9.16323 | − | 23.3770i | −0.375026 | − | 0.956756i | ||||
\(598\) | −2.96858 | − | 7.66526i | −0.121394 | − | 0.313456i | ||||
\(599\) | 2.81411 | + | 1.62473i | 0.114982 | + | 0.0663846i | 0.556388 | − | 0.830923i | \(-0.312187\pi\) |
−0.441406 | + | 0.897307i | \(0.645520\pi\) | |||||||
\(600\) | −17.8177 | + | 48.7281i | −0.727404 | + | 1.98932i | ||||
\(601\) | −12.6206 | + | 7.28651i | −0.514806 | + | 0.297223i | −0.734807 | − | 0.678276i | \(-0.762727\pi\) |
0.220001 | + | 0.975500i | \(0.429394\pi\) | |||||||
\(602\) | 15.8794 | + | 12.7810i | 0.647198 | + | 0.520914i | ||||
\(603\) | −15.6546 | + | 24.8668i | −0.637504 | + | 1.01266i | ||||
\(604\) | −16.5691 | + | 3.62493i | −0.674187 | + | 0.147496i | ||||
\(605\) | 3.54920 | − | 13.2458i | 0.144296 | − | 0.538519i | ||||
\(606\) | −18.1159 | − | 19.7187i | −0.735908 | − | 0.801016i | ||||
\(607\) | −32.0317 | − | 18.4935i | −1.30013 | − | 0.750629i | −0.319702 | − | 0.947518i | \(-0.603583\pi\) |
−0.980426 | + | 0.196889i | \(0.936916\pi\) | |||||||
\(608\) | 11.4751 | + | 11.1391i | 0.465378 | + | 0.451750i | ||||
\(609\) | 26.4244 | + | 35.8359i | 1.07077 | + | 1.45214i | ||||
\(610\) | 38.1562 | + | 52.1906i | 1.54490 | + | 2.11314i | ||||
\(611\) | −11.1967 | + | 11.1967i | −0.452972 | + | 0.452972i | ||||
\(612\) | −15.7402 | + | 7.38954i | −0.636261 | + | 0.298705i | ||||
\(613\) | 3.34985 | + | 3.34985i | 0.135299 | + | 0.135299i | 0.771513 | − | 0.636214i | \(-0.219500\pi\) |
−0.636214 | + | 0.771513i | \(0.719500\pi\) | |||||||
\(614\) | −15.1647 | − | 2.35568i | −0.611998 | − | 0.0950675i | ||||
\(615\) | 1.13772 | + | 10.1366i | 0.0458774 | + | 0.408747i | ||||
\(616\) | 12.5711 | + | 18.9851i | 0.506504 | + | 0.764931i | ||||
\(617\) | 4.04358 | − | 7.00369i | 0.162789 | − | 0.281958i | −0.773079 | − | 0.634309i | \(-0.781285\pi\) |
0.935868 | + | 0.352352i | \(0.114618\pi\) | |||||||
\(618\) | −1.39807 | + | 0.730093i | −0.0562385 | + | 0.0293687i | ||||
\(619\) | −43.5499 | − | 11.6692i | −1.75042 | − | 0.469023i | −0.765703 | − | 0.643194i | \(-0.777609\pi\) |
−0.984715 | + | 0.174171i | \(0.944275\pi\) | |||||||
\(620\) | −3.37076 | − | 2.16062i | −0.135373 | − | 0.0867727i | ||||
\(621\) | 6.98798 | + | 10.2778i | 0.280418 | + | 0.412436i | ||||
\(622\) | 24.4792 | − | 2.64644i | 0.981526 | − | 0.106112i | ||||
\(623\) | −10.7590 | − | 18.6351i | −0.431049 | − | 0.746599i | ||||
\(624\) | 16.8332 | − | 0.318826i | 0.673866 | − | 0.0127633i | ||||
\(625\) | 17.1046 | − | 29.6260i | 0.684182 | − | 1.18504i | ||||
\(626\) | 14.0547 | − | 31.8216i | 0.561741 | − | 1.27185i | ||||
\(627\) | 10.4997 | + | 8.38059i | 0.419318 | + | 0.334689i | ||||
\(628\) | −7.31184 | − | 0.339635i | −0.291774 | − | 0.0135529i | ||||
\(629\) | −3.95318 | + | 3.95318i | −0.157624 | + | 0.157624i | ||||
\(630\) | 27.4720 | + | 40.7622i | 1.09451 | + | 1.62400i | ||||
\(631\) | −3.49919 | −0.139300 | −0.0696502 | − | 0.997571i | \(-0.522188\pi\) | ||||
−0.0696502 | + | 0.997571i | \(0.522188\pi\) | |||||||
\(632\) | −8.83825 | − | 7.81646i | −0.351567 | − | 0.310922i | ||||
\(633\) | 6.80209 | + | 9.22477i | 0.270359 | + | 0.366652i | ||||
\(634\) | 4.22649 | + | 10.9134i | 0.167856 | + | 0.433425i | ||||
\(635\) | −68.6417 | + | 18.3925i | −2.72396 | + | 0.729883i | ||||
\(636\) | 16.7332 | − | 19.0769i | 0.663514 | − | 0.756447i | ||||
\(637\) | −3.77930 | − | 1.01266i | −0.149741 | − | 0.0401231i | ||||
\(638\) | 33.7942 | − | 3.65348i | 1.33792 | − | 0.144643i | ||||
\(639\) | −9.48779 | − | 10.2430i | −0.375331 | − | 0.405206i | ||||
\(640\) | 44.6500 | + | 1.40955i | 1.76495 | + | 0.0557174i | ||||
\(641\) | 4.01739 | − | 2.31944i | 0.158677 | − | 0.0916125i | −0.418559 | − | 0.908190i | \(-0.637465\pi\) |
0.577236 | + | 0.816577i | \(0.304131\pi\) | |||||||
\(642\) | −2.82170 | − | 12.6502i | −0.111364 | − | 0.499265i | ||||
\(643\) | 39.7595 | − | 10.6535i | 1.56796 | − | 0.420134i | 0.632789 | − | 0.774324i | \(-0.281910\pi\) |
0.935173 | + | 0.354190i | \(0.115243\pi\) | |||||||
\(644\) | −13.3753 | − | 4.25819i | −0.527062 | − | 0.167796i | ||||
\(645\) | 31.2773 | − | 12.2600i | 1.23154 | − | 0.482736i | ||||
\(646\) | 1.77857 | − | 11.4495i | 0.0699769 | − | 0.450476i | ||||
\(647\) | 2.08960i | 0.0821505i | 0.999156 | + | 0.0410752i | \(0.0130783\pi\) | ||||
−0.999156 | + | 0.0410752i | \(0.986922\pi\) | |||||||
\(648\) | −24.6860 | + | 6.21301i | −0.969758 | + | 0.244070i | ||||
\(649\) | 7.04684i | 0.276613i | ||||||||
\(650\) | −35.9654 | − | 5.58685i | −1.41068 | − | 0.219134i | ||||
\(651\) | −2.39903 | + | 0.940365i | −0.0940255 | + | 0.0368558i | ||||
\(652\) | −9.69964 | + | 5.01505i | −0.379867 | + | 0.196404i | ||||
\(653\) | 17.7442 | − | 4.75454i | 0.694383 | − | 0.186059i | 0.105670 | − | 0.994401i | \(-0.466301\pi\) |
0.588713 | + | 0.808342i | \(0.299635\pi\) | |||||||
\(654\) | 20.3151 | − | 4.53139i | 0.794384 | − | 0.177192i | ||||
\(655\) | 61.6410 | − | 35.5885i | 2.40851 | − | 1.39056i | ||||
\(656\) | 5.42091 | − | 2.49117i | 0.211651 | − | 0.0972637i | ||||
\(657\) | 10.0280 | + | 10.8262i | 0.391228 | + | 0.422369i | ||||
\(658\) | 2.90632 | + | 26.8831i | 0.113300 | + | 1.04801i | ||||
\(659\) | −29.2626 | − | 7.84088i | −1.13991 | − | 0.305437i | −0.360994 | − | 0.932568i | \(-0.617562\pi\) |
−0.778914 | + | 0.627131i | \(0.784229\pi\) | |||||||
\(660\) | 37.4461 | − | 2.45077i | 1.45759 | − | 0.0953960i | ||||
\(661\) | −46.6546 | + | 12.5011i | −1.81465 | + | 0.486235i | −0.996103 | − | 0.0881985i | \(-0.971889\pi\) |
−0.818551 | + | 0.574434i | \(0.805222\pi\) | |||||||
\(662\) | −34.8646 | + | 13.5023i | −1.35505 | + | 0.524781i | ||||
\(663\) | −7.23932 | − | 9.81773i | −0.281152 | − | 0.381289i | ||||
\(664\) | 2.25797 | + | 36.8038i | 0.0876263 | + | 1.42826i | ||||
\(665\) | −32.7549 | −1.27018 | ||||||||
\(666\) | −6.78691 | + | 4.57409i | −0.262987 | + | 0.177242i | ||||
\(667\) | −14.8169 | + | 14.8169i | −0.573714 | + | 0.573714i | ||||
\(668\) | −10.2117 | + | 9.30516i | −0.395103 | + | 0.360027i | ||||
\(669\) | −2.49473 | − | 1.99123i | −0.0964519 | − | 0.0769854i | ||||
\(670\) | −50.0312 | − | 22.0974i | −1.93287 | − | 0.853698i | ||||
\(671\) | 15.8822 | − | 27.5087i | 0.613124 | − | 1.06196i | ||||
\(672\) | 17.5992 | − | 22.7340i | 0.678903 | − | 0.876984i | ||||
\(673\) | 8.92590 | + | 15.4601i | 0.344068 | + | 0.595944i | 0.985184 | − | 0.171500i | \(-0.0548615\pi\) |
−0.641116 | + | 0.767444i | \(0.721528\pi\) | |||||||
\(674\) | −3.75049 | − | 34.6915i | −0.144463 | − | 1.33627i | ||||
\(675\) | 54.8822 | − | 4.04192i | 2.11241 | − | 0.155574i | ||||
\(676\) | −3.03255 | − | 13.8614i | −0.116637 | − | 0.533132i | ||||
\(677\) | 2.14611 | + | 0.575049i | 0.0824818 | + | 0.0221009i | 0.299824 | − | 0.953995i | \(-0.403072\pi\) |
−0.217342 | + | 0.976095i | \(0.569739\pi\) | |||||||
\(678\) | 18.9042 | + | 36.2000i | 0.726013 | + | 1.39025i | ||||
\(679\) | −7.33966 | + | 12.7127i | −0.281670 | + | 0.487867i | ||||
\(680\) | −17.8691 | − | 26.9862i | −0.685247 | − | 1.03487i | ||||
\(681\) | −0.137406 | − | 1.22423i | −0.00526543 | − | 0.0469126i | ||||
\(682\) | −0.301953 | + | 1.94383i | −0.0115624 | + | 0.0744329i | ||||
\(683\) | −0.857818 | − | 0.857818i | −0.0328235 | − | 0.0328235i | 0.690505 | − | 0.723328i | \(-0.257389\pi\) |
−0.723328 | + | 0.690505i | \(0.757389\pi\) | |||||||
\(684\) | 5.76018 | − | 15.9546i | 0.220246 | − | 0.610038i | ||||
\(685\) | 2.21214 | − | 2.21214i | 0.0845216 | − | 0.0845216i | ||||
\(686\) | 18.0559 | − | 13.2005i | 0.689376 | − | 0.503998i | ||||
\(687\) | −7.88099 | − | 10.6879i | −0.300679 | − | 0.407771i | ||||
\(688\) | −12.5459 | − | 15.1218i | −0.478309 | − | 0.576513i | ||||
\(689\) | 15.4163 | + | 8.90063i | 0.587316 | + | 0.339087i | ||||
\(690\) | −17.0356 | + | 15.6509i | −0.648534 | + | 0.595820i | ||||
\(691\) | 10.1497 | − | 37.8791i | 0.386112 | − | 1.44099i | −0.450295 | − | 0.892880i | \(-0.648681\pi\) |
0.836407 | − | 0.548109i | \(-0.184652\pi\) | |||||||
\(692\) | −6.74366 | − | 4.32262i | −0.256355 | − | 0.164321i | ||||
\(693\) | 12.8667 | − | 20.4383i | 0.488764 | − | 0.776386i | ||||
\(694\) | 21.1350 | − | 26.2588i | 0.802275 | − | 0.996769i | ||||
\(695\) | 72.6201 | − | 41.9272i | 2.75464 | − | 1.59039i | ||||
\(696\) | −18.0803 | − | 38.9243i | −0.685331 | − | 1.47542i | ||||
\(697\) | −3.74334 | − | 2.16122i | −0.141789 | − | 0.0818619i | ||||
\(698\) | −35.3788 | + | 13.7014i | −1.33911 | + | 0.518606i | ||||
\(699\) | −0.865499 | − | 2.20804i | −0.0327362 | − | 0.0835156i | ||||
\(700\) | −45.9402 | + | 41.8618i | −1.73638 | + | 1.58223i | ||||
\(701\) | 14.3403 | + | 14.3403i | 0.541627 | + | 0.541627i | 0.924006 | − | 0.382379i | \(-0.124895\pi\) |
−0.382379 | + | 0.924006i | \(0.624895\pi\) | |||||||
\(702\) | −7.65472 | − | 16.1336i | −0.288909 | − | 0.608925i | ||||
\(703\) | − | 5.45369i | − | 0.205690i | ||||||
\(704\) | −8.22965 | − | 20.3470i | −0.310167 | − | 0.766858i | ||||
\(705\) | 40.8374 | + | 17.8380i | 1.53802 | + | 0.671817i | ||||
\(706\) | 3.65558 | − | 8.27666i | 0.137579 | − | 0.311496i | ||||
\(707\) | −8.30208 | − | 30.9838i | −0.312232 | − | 1.16527i | ||||
\(708\) | 8.42569 | − | 2.85924i | 0.316657 | − | 0.107457i | ||||
\(709\) | 1.14194 | − | 4.26177i | 0.0428864 | − | 0.160054i | −0.941162 | − | 0.337956i | \(-0.890264\pi\) |
0.984048 | + | 0.177902i | \(0.0569311\pi\) | |||||||
\(710\) | 16.2947 | − | 20.2450i | 0.611529 | − | 0.759781i | ||||
\(711\) | −3.69896 | + | 11.9554i | −0.138722 | + | 0.448361i | ||||
\(712\) | 6.58511 | + | 19.6685i | 0.246787 | + | 0.737109i | ||||
\(713\) | −0.606335 | − | 1.05020i | −0.0227074 | − | 0.0393304i | ||||
\(714\) | −20.8114 | − | 0.881612i | −0.778846 | − | 0.0329935i | ||||
\(715\) | 6.81339 | + | 25.4279i | 0.254806 | + | 0.950951i | ||||
\(716\) | 13.0716 | + | 25.2818i | 0.488508 | + | 0.944826i | ||||
\(717\) | 2.64982 | + | 0.400557i | 0.0989593 | + | 0.0149591i | ||||
\(718\) | −14.3863 | − | 19.6778i | −0.536891 | − | 0.734368i | ||||
\(719\) | 49.2509 | 1.83675 | 0.918374 | − | 0.395714i | \(-0.129503\pi\) | ||||
0.918374 | + | 0.395714i | \(0.129503\pi\) | |||||||
\(720\) | −18.1240 | − | 43.7787i | −0.675441 | − | 1.63154i | ||||
\(721\) | −1.88938 | −0.0703644 | ||||||||
\(722\) | −9.18745 | − | 12.5667i | −0.341922 | − | 0.467686i | ||||
\(723\) | −8.29086 | + | 10.3873i | −0.308340 | + | 0.386307i | ||||
\(724\) | 37.7739 | − | 19.5304i | 1.40386 | − | 0.725842i | ||||
\(725\) | 24.0137 | + | 89.6203i | 0.891846 | + | 3.32841i | ||||
\(726\) | 3.93789 | + | 7.54073i | 0.146149 | + | 0.279863i | ||||
\(727\) | −2.18154 | − | 3.77855i | −0.0809090 | − | 0.140139i | 0.822732 | − | 0.568430i | \(-0.192449\pi\) |
−0.903641 | + | 0.428291i | \(0.859116\pi\) | |||||||
\(728\) | 18.0511 | + | 8.99570i | 0.669018 | + | 0.333403i | ||||
\(729\) | 16.7799 | + | 21.1527i | 0.621478 | + | 0.783432i | ||||
\(730\) | −17.2224 | + | 21.3976i | −0.637431 | + | 0.791962i | ||||
\(731\) | −3.68451 | + | 13.7508i | −0.136277 | + | 0.508591i | ||||
\(732\) | −39.3355 | − | 7.82820i | −1.45388 | − | 0.289339i | ||||
\(733\) | −8.23445 | − | 30.7314i | −0.304146 | − | 1.13509i | −0.933678 | − | 0.358114i | \(-0.883420\pi\) |
0.629532 | − | 0.776975i | \(-0.283247\pi\) | |||||||
\(734\) | 0.833715 | − | 1.88763i | 0.0307730 | − | 0.0696738i | ||||
\(735\) | 1.22818 | + | 10.9426i | 0.0453023 | + | 0.403623i | ||||
\(736\) | 11.8169 | + | 6.59034i | 0.435575 | + | 0.242923i | ||||
\(737\) | 26.8722i | 0.989849i | ||||||||
\(738\) | −4.77409 | − | 4.15322i | −0.175737 | − | 0.152882i | ||||
\(739\) | −32.4463 | − | 32.4463i | −1.19356 | − | 1.19356i | −0.976061 | − | 0.217495i | \(-0.930211\pi\) |
−0.217495 | − | 0.976061i | \(-0.569789\pi\) | |||||||
\(740\) | −10.2606 | − | 11.2603i | −0.377188 | − | 0.413936i | ||||
\(741\) | 11.7657 | + | 1.77855i | 0.432224 | + | 0.0653366i | ||||
\(742\) | 28.3465 | − | 10.9780i | 1.04063 | − | 0.403014i | ||||
\(743\) | −10.8406 | − | 6.25880i | −0.397702 | − | 0.229613i | 0.287790 | − | 0.957693i | \(-0.407079\pi\) |
−0.685492 | + | 0.728080i | \(0.740413\pi\) | |||||||
\(744\) | 2.44669 | − | 0.427667i | 0.0897000 | − | 0.0156790i | ||||
\(745\) | −40.0141 | + | 23.1021i | −1.46600 | + | 0.846397i | ||||
\(746\) | 7.13463 | − | 8.86426i | 0.261217 | − | 0.324544i | ||||
\(747\) | 34.5932 | − | 18.2451i | 1.26570 | − | 0.667554i | ||||
\(748\) | −8.58145 | + | 13.3878i | −0.313769 | + | 0.489507i | ||||
\(749\) | 4.01852 | − | 14.9973i | 0.146834 | − | 0.547990i | ||||
\(750\) | 11.7718 | + | 52.7751i | 0.429844 | + | 1.92707i | ||||
\(751\) | 34.0479 | + | 19.6575i | 1.24242 | + | 0.717314i | 0.969587 | − | 0.244747i | \(-0.0787047\pi\) |
0.272837 | + | 0.962060i | \(0.412038\pi\) | |||||||
\(752\) | 2.41615 | − | 25.9519i | 0.0881078 | − | 0.946369i | ||||
\(753\) | −5.35969 | + | 12.2702i | −0.195318 | + | 0.447151i | ||||
\(754\) | 24.3049 | − | 17.7691i | 0.885132 | − | 0.647113i | ||||
\(755\) | −23.6777 | + | 23.6777i | −0.861718 | + | 0.861718i | ||||
\(756\) | −29.6580 | − | 7.09147i | −1.07865 | − | 0.257914i | ||||
\(757\) | −25.3026 | − | 25.3026i | −0.919640 | − | 0.919640i | 0.0773631 | − | 0.997003i | \(-0.475350\pi\) |
−0.997003 | + | 0.0773631i | \(0.975350\pi\) | |||||||
\(758\) | −5.05773 | + | 32.5592i | −0.183705 | + | 1.18260i | ||||
\(759\) | 10.4157 | + | 4.54963i | 0.378065 | + | 0.165141i | ||||
\(760\) | 30.9405 | + | 6.28884i | 1.12233 | + | 0.228120i | ||||
\(761\) | −11.0907 | + | 19.2097i | −0.402039 | + | 0.696352i | −0.993972 | − | 0.109635i | \(-0.965032\pi\) |
0.591933 | + | 0.805987i | \(0.298365\pi\) | |||||||
\(762\) | 23.6384 | − | 37.2113i | 0.856330 | − | 1.34802i | ||||
\(763\) | 24.0843 | + | 6.45338i | 0.871911 | + | 0.233628i | ||||
\(764\) | 42.5955 | − | 9.31888i | 1.54105 | − | 0.337145i | ||||
\(765\) | −18.2892 | + | 29.0518i | −0.661247 | + | 1.05037i | ||||
\(766\) | −1.57979 | − | 14.6129i | −0.0570803 | − | 0.527985i | ||||
\(767\) | 3.12087 | + | 5.40551i | 0.112688 | + | 0.195182i | ||||
\(768\) | −20.9892 | + | 18.0957i | −0.757381 | + | 0.652973i | ||||
\(769\) | 0.792978 | − | 1.37348i | 0.0285955 | − | 0.0495289i | −0.851374 | − | 0.524560i | \(-0.824230\pi\) |
0.879969 | + | 0.475031i | \(0.157563\pi\) | |||||||
\(770\) | 41.1211 | + | 18.1621i | 1.48190 | + | 0.654516i | ||||
\(771\) | 6.15555 | − | 40.7210i | 0.221687 | − | 1.46653i | ||||
\(772\) | 6.32378 | + | 6.93988i | 0.227598 | + | 0.249772i | ||||
\(773\) | 0.198602 | − | 0.198602i | 0.00714323 | − | 0.00714323i | −0.703526 | − | 0.710669i | \(-0.748392\pi\) |
0.710669 | + | 0.703526i | \(0.248392\pi\) | |||||||
\(774\) | −9.14298 | + | 18.7279i | −0.328637 | + | 0.673160i | ||||
\(775\) | −5.36948 | −0.192877 | ||||||||
\(776\) | 9.37389 | − | 10.5993i | 0.336503 | − | 0.380492i | ||||
\(777\) | −9.74308 | + | 1.09355i | −0.349531 | + | 0.0392310i | ||||
\(778\) | 31.8098 | − | 12.3192i | 1.14044 | − | 0.441665i | ||||
\(779\) | 4.07287 | − | 1.09132i | 0.145926 | − | 0.0391007i | ||||
\(780\) | 27.6389 | − | 18.4639i | 0.989630 | − | 0.661114i | ||||
\(781\) | −12.3334 | − | 3.30471i | −0.441322 | − | 0.118252i | ||||
\(782\) | −1.05366 | − | 9.74625i | −0.0376789 | − | 0.348525i | ||||
\(783\) | −29.7377 | + | 34.4661i | −1.06274 | + | 1.23172i | ||||
\(784\) | 5.85194 | − | 2.68925i | 0.208998 | − | 0.0960445i | ||||
\(785\) | −12.5149 | + | 7.22549i | −0.446676 | + | 0.257889i | ||||
\(786\) | −13.2231 | + | 42.1288i | −0.471654 | + | 1.50268i | ||||
\(787\) | 14.0581 | − | 3.76684i | 0.501116 | − | 0.134274i | 0.000597888 | − | 1.00000i | \(-0.499810\pi\) |
0.500518 | + | 0.865726i | \(0.333143\pi\) | |||||||
\(788\) | 18.6056 | + | 35.9851i | 0.662795 | + | 1.28192i | ||||
\(789\) | −9.59298 | − | 7.65687i | −0.341519 | − | 0.272592i | ||||
\(790\) | −23.0177 | − | 3.57557i | −0.818935 | − | 0.127213i | ||||
\(791\) | 48.9217i | 1.73946i | ||||||||
\(792\) | −16.0780 | + | 16.8358i | −0.571307 | + | 0.598233i | ||||
\(793\) | − | 28.1353i | − | 0.999112i | ||||||
\(794\) | 2.56997 | − | 16.5442i | 0.0912048 | − | 0.587131i | ||||
\(795\) | 7.48795 | − | 49.5353i | 0.265570 | − | 1.75683i | ||||
\(796\) | −8.79531 | + | 27.6268i | −0.311741 | + | 0.979205i | ||||
\(797\) | −11.6520 | + | 3.12214i | −0.412734 | + | 0.110592i | −0.459210 | − | 0.888328i | \(-0.651868\pi\) |
0.0464762 | + | 0.998919i | \(0.485201\pi\) | |||||||
\(798\) | 14.9635 | − | 13.7473i | 0.529702 | − | 0.486647i | ||||
\(799\) | −16.3541 | + | 9.44202i | −0.578565 | + | 0.334035i | ||||
\(800\) | 51.4327 | − | 30.7225i | 1.81842 | − | 1.08621i | ||||
\(801\) | 16.1398 | − | 14.9498i | 0.570272 | − | 0.528227i | ||||
\(802\) | −5.13468 | + | 0.555109i | −0.181312 | + | 0.0196016i | ||||
\(803\) | 13.0355 | + | 3.49286i | 0.460015 | + | 0.123261i | ||||
\(804\) | 32.1302 | − | 10.9033i | 1.13315 | − | 0.384531i | ||||
\(805\) | −26.7679 | + | 7.17244i | −0.943445 | + | 0.252795i | ||||
\(806\) | 0.629249 | + | 1.62480i | 0.0221644 | + | 0.0572312i | ||||
\(807\) | 20.2586 | − | 46.3789i | 0.713135 | − | 1.63261i | ||||
\(808\) | 1.89340 | + | 30.8615i | 0.0666096 | + | 1.08570i | ||||
\(809\) | 5.40097 | 0.189888 | 0.0949441 | − | 0.995483i | \(-0.469733\pi\) | ||||
0.0949441 | + | 0.995483i | \(0.469733\pi\) | |||||||
\(810\) | −34.4115 | + | 36.6270i | −1.20910 | + | 1.28694i | ||||
\(811\) | 19.4041 | − | 19.4041i | 0.681371 | − | 0.681371i | −0.278938 | − | 0.960309i | \(-0.589982\pi\) |
0.960309 | + | 0.278938i | \(0.0899823\pi\) | |||||||
\(812\) | 2.38555 | − | 51.3575i | 0.0837166 | − | 1.80229i | ||||
\(813\) | −26.9144 | + | 10.5498i | −0.943928 | + | 0.369998i | ||||
\(814\) | −3.02399 | + | 6.84668i | −0.105991 | + | 0.239976i | ||||
\(815\) | −10.7788 | + | 18.6695i | −0.377566 | + | 0.653964i | ||||
\(816\) | 19.4893 | + | 4.82850i | 0.682262 | + | 0.169031i | ||||
\(817\) | −6.94356 | − | 12.0266i | −0.242924 | − | 0.420758i | ||||
\(818\) | 19.6875 | − | 2.12840i | 0.688356 | − | 0.0744179i | ||||
\(819\) | 0.818183 | − | 21.3762i | 0.0285896 | − | 0.746944i | ||||
\(820\) | 6.35606 | − | 9.91600i | 0.221963 | − | 0.346282i | ||||
\(821\) | −20.6449 | − | 5.53178i | −0.720512 | − | 0.193061i | −0.120112 | − | 0.992760i | \(-0.538325\pi\) |
−0.600400 | + | 0.799700i | \(0.704992\pi\) | |||||||
\(822\) | −0.0821407 | + | 1.93902i | −0.00286499 | + | 0.0676310i | ||||
\(823\) | −15.8047 | + | 27.3746i | −0.550918 | + | 0.954217i | 0.447291 | + | 0.894389i | \(0.352389\pi\) |
−0.998209 | + | 0.0598289i | \(0.980944\pi\) | |||||||
\(824\) | 1.78473 | + | 0.362757i | 0.0621739 | + | 0.0126372i | ||||
\(825\) | 40.5053 | − | 29.8675i | 1.41021 | − | 1.03985i | ||||
\(826\) | 10.5323 | + | 1.63608i | 0.366466 | + | 0.0569267i | ||||
\(827\) | 11.4058 | + | 11.4058i | 0.396617 | + | 0.396617i | 0.877038 | − | 0.480421i | \(-0.159516\pi\) |
−0.480421 | + | 0.877038i | \(0.659516\pi\) | |||||||
\(828\) | 1.21371 | − | 14.2997i | 0.0421792 | − | 0.496949i | ||||
\(829\) | −15.8083 | + | 15.8083i | −0.549043 | + | 0.549043i | −0.926164 | − | 0.377121i | \(-0.876914\pi\) |
0.377121 | + | 0.926164i | \(0.376914\pi\) | |||||||
\(830\) | 42.9636 | + | 58.7663i | 1.49129 | + | 2.03981i | ||||
\(831\) | −8.00487 | + | 0.898459i | −0.277686 | + | 0.0311672i | ||||
\(832\) | −15.3240 | − | 11.9632i | −0.531265 | − | 0.414748i | ||||
\(833\) | −4.04098 | − | 2.33306i | −0.140012 | − | 0.0808357i | ||||
\(834\) | −15.5783 | + | 49.6324i | −0.539433 | + | 1.71863i | ||||
\(835\) | −7.05931 | + | 26.3457i | −0.244297 | + | 0.911730i | ||||
\(836\) | −3.31535 | − | 15.1541i | −0.114664 | − | 0.524114i | ||||
\(837\) | −1.48124 | − | 2.17859i | −0.0511992 | − | 0.0753031i | ||||
\(838\) | 0.685767 | + | 0.551957i | 0.0236894 | + | 0.0190670i | ||||
\(839\) | −28.2922 | + | 16.3345i | −0.976755 | + | 0.563930i | −0.901289 | − | 0.433219i | \(-0.857378\pi\) |
−0.0754662 | + | 0.997148i | \(0.524044\pi\) | |||||||
\(840\) | 5.03102 | − | 56.5365i | 0.173587 | − | 1.95069i | ||||
\(841\) | −41.3525 | − | 23.8749i | −1.42595 | − | 0.823272i | ||||
\(842\) | 9.18458 | + | 23.7158i | 0.316521 | + | 0.817299i | ||||
\(843\) | −24.6684 | + | 30.9060i | −0.849624 | + | 1.06446i | ||||
\(844\) | 0.614082 | − | 13.2203i | 0.0211376 | − | 0.455061i | ||||
\(845\) | −19.8083 | − | 19.8083i | −0.681428 | − | 0.681428i | ||||
\(846\) | −26.1425 | + | 8.99051i | −0.898797 | + | 0.309100i | ||||
\(847\) | 10.1907i | 0.350158i | ||||||||
\(848\) | −28.8841 | + | 4.92741i | −0.991883 | + | 0.169208i | ||||
\(849\) | −35.9994 | + | 26.5450i | −1.23550 | + | 0.911021i | ||||
\(850\) | −39.7057 | − | 17.5369i | −1.36189 | − | 0.601511i | ||||
\(851\) | −1.19421 | − | 4.45686i | −0.0409371 | − | 0.152779i | ||||
\(852\) | 1.05289 | + | 16.0875i | 0.0360715 | + | 0.551148i | ||||
\(853\) | −10.3756 | + | 38.7224i | −0.355255 | + | 1.32583i | 0.524907 | + | 0.851159i | \(0.324100\pi\) |
−0.880163 | + | 0.474672i | \(0.842567\pi\) | |||||||
\(854\) | −37.4275 | − | 30.1245i | −1.28074 | − | 1.03084i | ||||
\(855\) | −7.42388 | − | 32.6551i | −0.253891 | − | 1.11678i | ||||
\(856\) | −6.67537 | + | 13.3950i | −0.228159 | + | 0.457833i | ||||
\(857\) | 0.0140657 | + | 0.0243624i | 0.000480474 | + | 0.000832205i | 0.866266 | − | 0.499584i | \(-0.166514\pi\) |
−0.865785 | + | 0.500416i | \(0.833180\pi\) | |||||||
\(858\) | −13.7847 | − | 8.75672i | −0.470602 | − | 0.298950i | ||||
\(859\) | −3.15104 | − | 11.7598i | −0.107512 | − | 0.401240i | 0.891106 | − | 0.453795i | \(-0.149930\pi\) |
−0.998618 | + | 0.0525549i | \(0.983264\pi\) | |||||||
\(860\) | −36.9634 | − | 11.7677i | −1.26044 | − | 0.401276i | ||||
\(861\) | −2.76634 | − | 7.05740i | −0.0942765 | − | 0.240516i | ||||
\(862\) | −7.24239 | + | 5.29486i | −0.246677 | + | 0.180344i | ||||
\(863\) | −40.1140 | −1.36550 | −0.682748 | − | 0.730654i | \(-0.739215\pi\) | ||||
−0.682748 | + | 0.730654i | \(0.739215\pi\) | |||||||
\(864\) | 26.6536 | + | 12.3929i | 0.906775 | + | 0.421615i | ||||
\(865\) | −15.8140 | −0.537692 | ||||||||
\(866\) | 30.5184 | − | 22.3118i | 1.03706 | − | 0.758186i | ||||
\(867\) | 5.43674 | + | 13.8701i | 0.184642 | + | 0.471052i | ||||
\(868\) | 2.83516 | + | 0.902607i | 0.0962317 | + | 0.0306365i | ||||
\(869\) | 2.96211 | + | 11.0547i | 0.100483 | + | 0.375006i | ||||
\(870\) | −71.5211 | − | 45.4337i | −2.42479 | − | 1.54035i | ||||
\(871\) | 11.9010 | + | 20.6132i | 0.403251 | + | 0.698451i | ||||
\(872\) | −21.5112 | − | 10.7200i | −0.728461 | − | 0.363026i | ||||
\(873\) | −14.3375 | − | 4.43598i | −0.485250 | − | 0.150135i | ||||
\(874\) | 7.44962 | + | 5.99602i | 0.251987 | + | 0.202818i | ||||
\(875\) | −16.7647 | + | 62.5669i | −0.566752 | + | 2.11515i | ||||
\(876\) | −1.11284 | − | 17.0034i | −0.0375993 | − | 0.574493i | ||||
\(877\) | 12.2948 | + | 45.8849i | 0.415167 | + | 1.54942i | 0.784501 | + | 0.620127i | \(0.212919\pi\) |
−0.369334 | + | 0.929297i | \(0.620414\pi\) | |||||||
\(878\) | 0.899864 | + | 0.397445i | 0.0303689 | + | 0.0134131i | ||||
\(879\) | 3.99348 | − | 2.94468i | 0.134697 | − | 0.0993216i | ||||
\(880\) | −35.3562 | − | 25.0512i | −1.19186 | − | 0.844474i | ||||
\(881\) | − | 20.6694i | − | 0.696371i | −0.937426 | − | 0.348186i | \(-0.886798\pi\) | ||
0.937426 | − | 0.348186i | \(-0.113202\pi\) | |||||||
\(882\) | −5.15369 | − | 4.48346i | −0.173534 | − | 0.150966i | ||||
\(883\) | −37.7611 | − | 37.7611i | −1.27076 | − | 1.27076i | −0.945688 | − | 0.325075i | \(-0.894610\pi\) |
−0.325075 | − | 0.945688i | \(-0.605390\pi\) | |||||||
\(884\) | −0.653554 | + | 14.0701i | −0.0219814 | + | 0.473228i | ||||
\(885\) | 10.9582 | − | 13.7291i | 0.368355 | − | 0.461497i | ||||
\(886\) | 8.38891 | + | 21.6612i | 0.281831 | + | 0.727723i | ||||
\(887\) | −24.4908 | − | 14.1398i | −0.822322 | − | 0.474768i | 0.0288948 | − | 0.999582i | \(-0.490801\pi\) |
−0.851216 | + | 0.524815i | \(0.824135\pi\) | |||||||
\(888\) | 9.41334 | + | 0.837665i | 0.315891 | + | 0.0281102i | ||||
\(889\) | 45.7347 | − | 26.4049i | 1.53389 | − | 0.885593i | ||||
\(890\) | 31.8999 | + | 25.6755i | 1.06929 | + | 0.860643i | ||||
\(891\) | 23.2922 | + | 8.19514i | 0.780319 | + | 0.274547i | ||||
\(892\) | 0.787728 | + | 3.60061i | 0.0263751 | + | 0.120557i | ||||
\(893\) | 4.76782 | − | 17.7937i | 0.159549 | − | 0.595445i | ||||
\(894\) | 8.58375 | − | 27.3478i | 0.287084 | − | 0.914646i | ||||
\(895\) | 48.6615 | + | 28.0947i | 1.62657 | + | 0.939103i | ||||
\(896\) | −32.3217 | + | 7.57612i | −1.07979 | + | 0.253101i | ||||
\(897\) | 10.0046 | − | 1.12291i | 0.334044 | − | 0.0374928i | ||||
\(898\) | −10.0791 | − | 13.7864i | −0.336345 | − | 0.460058i | ||||
\(899\) | 3.14074 | − | 3.14074i | 0.104750 | − | 0.104750i | ||||
\(900\) | −52.1466 | − | 36.3123i | −1.73822 | − | 1.21041i | ||||
\(901\) | 15.0115 | + | 15.0115i | 0.500105 | + | 0.500105i | ||||
\(902\) | −5.71829 | − | 0.888277i | −0.190398 | − | 0.0295764i | ||||
\(903\) | −20.0934 | + | 14.8163i | −0.668665 | + | 0.493055i | ||||
\(904\) | 9.39283 | − | 46.2118i | 0.312401 | − | 1.53698i | ||||
\(905\) | 41.9767 | − | 72.7058i | 1.39535 | − | 2.41682i | ||||
\(906\) | 0.879193 | − | 20.7543i | 0.0292092 | − | 0.689515i | ||||
\(907\) | 34.0430 | + | 9.12179i | 1.13038 | + | 0.302884i | 0.775077 | − | 0.631867i | \(-0.217711\pi\) |
0.355302 | + | 0.934751i | \(0.384378\pi\) | |||||||
\(908\) | −0.767642 | + | 1.19759i | −0.0254751 | + | 0.0397434i | ||||
\(909\) | 29.0078 | − | 15.2993i | 0.962126 | − | 0.507444i | ||||
\(910\) | 39.5868 | − | 4.27972i | 1.31229 | − | 0.141871i | ||||
\(911\) | 8.81619 | + | 15.2701i | 0.292093 | + | 0.505921i | 0.974305 | − | 0.225235i | \(-0.0723149\pi\) |
−0.682211 | + | 0.731155i | \(0.738982\pi\) | |||||||
\(912\) | −16.7741 | + | 10.1128i | −0.555444 | + | 0.334868i | ||||
\(913\) | 17.8832 | − | 30.9746i | 0.591847 | − | 1.02511i | ||||
\(914\) | 6.99804 | − | 15.8444i | 0.231475 | − | 0.524087i | ||||
\(915\) | −73.7199 | + | 28.8965i | −2.43710 | + | 0.955288i | ||||
\(916\) | −0.711484 | + | 15.3172i | −0.0235081 | + | 0.506095i | ||||
\(917\) | −37.4020 | + | 37.4020i | −1.23512 | + | 1.23512i | ||||
\(918\) | −3.83796 | − | 20.9478i | −0.126672 | − | 0.691380i | ||||
\(919\) | 40.6483 | 1.34086 | 0.670431 | − | 0.741972i | \(-0.266109\pi\) | ||||
0.670431 | + | 0.741972i | \(0.266109\pi\) | |||||||
\(920\) | 26.6622 | − | 1.63577i | 0.879028 | − | 0.0539297i | ||||
\(921\) | 7.52361 | − | 17.2242i | 0.247911 | − | 0.567555i | ||||
\(922\) | 16.0291 | + | 41.3893i | 0.527892 | + | 1.36308i | ||||
\(923\) | −10.9243 | + | 2.92715i | −0.359577 | + | 0.0963483i | ||||
\(924\) | −26.4081 | + | 8.96155i | −0.868763 | + | 0.294813i | ||||
\(925\) | −19.7341 | − | 5.28775i | −0.648855 | − | 0.173860i | ||||
\(926\) | −50.1936 | + | 5.42641i | −1.64946 | + | 0.178323i | ||||
\(927\) | −0.428229 | − | 1.88363i | −0.0140649 | − | 0.0618665i | ||||
\(928\) | −12.1139 | + | 48.0546i | −0.397658 | + | 1.57747i | ||||
\(929\) | −46.7331 | + | 26.9814i | −1.53326 | + | 0.885230i | −0.534055 | + | 0.845450i | \(0.679333\pi\) |
−0.999208 | + | 0.0397807i | \(0.987334\pi\) | |||||||
\(930\) | 3.61103 | − | 3.31752i | 0.118410 | − | 0.108786i | ||||
\(931\) | 4.39672 | − | 1.17810i | 0.144097 | − | 0.0386106i | ||||
\(932\) | −0.830748 | + | 2.60945i | −0.0272120 | + | 0.0854753i | ||||
\(933\) | −4.50721 | + | 29.8167i | −0.147560 | + | 0.976156i | ||||
\(934\) | 2.34726 | − | 15.1105i | 0.0768047 | − | 0.494431i | ||||
\(935\) | 31.3946i | 1.02671i | ||||||||
\(936\) | −4.87702 | + | 20.0350i | −0.159411 | + | 0.654864i | ||||
\(937\) | 47.0464i | 1.53694i | 0.639886 | + | 0.768470i | \(0.278982\pi\) | ||||
−0.639886 | + | 0.768470i | \(0.721018\pi\) | |||||||
\(938\) | 40.1635 | + | 6.23899i | 1.31139 | + | 0.203710i | ||||
\(939\) | 33.2989 | + | 26.5784i | 1.08667 | + | 0.867352i | ||||
\(940\) | −23.6332 | − | 45.7091i | −0.770829 | − | 1.49087i | ||||
\(941\) | 2.40748 | − | 0.645083i | 0.0784816 | − | 0.0210291i | −0.219365 | − | 0.975643i | \(-0.570398\pi\) |
0.297846 | + | 0.954614i | \(0.403732\pi\) | |||||||
\(942\) | 2.68468 | − | 8.55336i | 0.0874715 | − | 0.278684i | ||||
\(943\) | 3.08946 | − | 1.78370i | 0.100607 | − | 0.0580853i | ||||
\(944\) | −9.63476 | − | 3.56763i | −0.313585 | − | 0.116116i | ||||
\(945\) | −56.8501 | + | 19.8107i | −1.84933 | + | 0.644443i | ||||
\(946\) | 2.04852 | + | 18.9485i | 0.0666031 | + | 0.616070i | ||||
\(947\) | 50.2676 | + | 13.4692i | 1.63348 | + | 0.437689i | 0.954921 | − | 0.296859i | \(-0.0959392\pi\) |
0.678557 | + | 0.734548i | \(0.262606\pi\) | |||||||
\(948\) | 12.0159 | − | 8.02714i | 0.390259 | − | 0.260709i | ||||
\(949\) | 11.5462 | − | 3.09381i | 0.374807 | − | 0.100429i | ||||
\(950\) | 39.4851 | − | 15.2917i | 1.28106 | − | 0.496127i | ||||
\(951\) | −14.2440 | + | 1.59873i | −0.461893 | + | 0.0518424i | ||||
\(952\) | 18.0172 | + | 15.9342i | 0.583942 | + | 0.516432i | ||||
\(953\) | −61.2734 | −1.98484 | −0.992420 | − | 0.122896i | \(-0.960782\pi\) | ||||
−0.992420 | + | 0.122896i | \(0.960782\pi\) | |||||||
\(954\) | 17.3693 | + | 25.7720i | 0.562351 | + | 0.834401i | ||||
\(955\) | 60.8700 | − | 60.8700i | 1.96971 | − | 1.96971i | ||||
\(956\) | −2.08426 | − | 2.28732i | −0.0674098 | − | 0.0739773i | ||||
\(957\) | −6.22233 | + | 41.1628i | −0.201139 | + | 1.33060i | ||||
\(958\) | 7.85577 | + | 3.46968i | 0.253808 | + | 0.112100i | ||||
\(959\) | −1.16244 | + | 2.01340i | −0.0375370 | + | 0.0650160i | ||||
\(960\) | −15.6072 | + | 52.4388i | −0.503719 | + | 1.69245i | ||||
\(961\) | −15.3715 | − | 26.6242i | −0.495854 | − | 0.858844i | ||||
\(962\) | 0.712574 | + | 6.59122i | 0.0229743 | + | 0.212509i | ||||
\(963\) | 15.8624 | + | 0.607142i | 0.511160 | + | 0.0195649i | ||||
\(964\) | 14.9918 | − | 3.27985i | 0.482854 | − | 0.105637i | ||||
\(965\) | 17.9045 | + | 4.79750i | 0.576367 | + | 0.154437i | ||||
\(966\) | 9.21818 | − | 14.5111i | 0.296590 | − | 0.466888i | ||||
\(967\) | −3.75805 | + | 6.50913i | −0.120851 | + | 0.209319i | −0.920103 | − | 0.391676i | \(-0.871896\pi\) |
0.799253 | + | 0.600995i | \(0.205229\pi\) | |||||||
\(968\) | 1.95659 | − | 9.62624i | 0.0628873 | − | 0.309399i | ||||
\(969\) | 13.0045 | + | 5.68042i | 0.417763 | + | 0.182481i | ||||
\(970\) | 4.28800 | − | 27.6040i | 0.137679 | − | 0.886312i | ||||
\(971\) | 20.5494 | + | 20.5494i | 0.659461 | + | 0.659461i | 0.955253 | − | 0.295791i | \(-0.0955833\pi\) |
−0.295791 | + | 0.955253i | \(0.595583\pi\) | |||||||
\(972\) | 0.347892 | − | 31.1750i | 0.0111587 | − | 0.999938i | ||||
\(973\) | −44.0638 | + | 44.0638i | −1.41262 | + | 1.41262i | ||||
\(974\) | −8.17204 | + | 5.97452i | −0.261849 | + | 0.191436i | ||||
\(975\) | 17.8434 | − | 40.8496i | 0.571445 | − | 1.30824i | ||||
\(976\) | 29.5704 | + | 35.6417i | 0.946527 | + | 1.14086i | ||||
\(977\) | 48.8661 | + | 28.2129i | 1.56337 | + | 0.902610i | 0.996913 | + | 0.0785154i | \(0.0250180\pi\) |
0.566453 | + | 0.824094i | \(0.308315\pi\) | |||||||
\(978\) | −2.91148 | − | 13.0527i | −0.0930989 | − | 0.417380i | ||||
\(979\) | 5.20721 | − | 19.4336i | 0.166423 | − | 0.621100i | ||||
\(980\) | 6.86144 | − | 10.7044i | 0.219181 | − | 0.341941i | ||||
\(981\) | −0.975015 | + | 25.4736i | −0.0311298 | + | 0.813310i | ||||
\(982\) | −24.8122 | + | 30.8274i | −0.791790 | + | 0.983743i | ||||
\(983\) | 5.17882 | − | 2.98999i | 0.165179 | − | 0.0953660i | −0.415132 | − | 0.909761i | \(-0.636265\pi\) |
0.580311 | + | 0.814395i | \(0.302931\pi\) | |||||||
\(984\) | 1.25810 | + | 7.19760i | 0.0401067 | + | 0.229451i | ||||
\(985\) | 69.2628 | + | 39.9889i | 2.20690 | + | 1.27415i | ||||
\(986\) | 33.4826 | − | 12.9670i | 1.06630 | − | 0.412955i | ||||
\(987\) | −32.7447 | − | 4.94982i | −1.04228 | − | 0.157555i | ||||
\(988\) | −9.25451 | − | 10.1561i | −0.294425 | − | 0.323110i | ||||
\(989\) | −8.30792 | − | 8.30792i | −0.264176 | − | 0.264176i | ||||
\(990\) | −8.78667 | + | 45.1123i | −0.279259 | + | 1.43376i | ||||
\(991\) | − | 20.2358i | − | 0.642812i | −0.946942 | − | 0.321406i | \(-0.895845\pi\) | ||
0.946942 | − | 0.321406i | \(-0.104155\pi\) | |||||||
\(992\) | −2.50482 | − | 1.39695i | −0.0795280 | − | 0.0443533i | ||||
\(993\) | −5.10742 | − | 45.5049i | −0.162079 | − | 1.44405i | ||||
\(994\) | −7.80274 | + | 17.6663i | −0.247488 | + | 0.560342i | ||||
\(995\) | 14.8147 | + | 55.2892i | 0.469657 | + | 1.75278i | ||||
\(996\) | −44.2915 | − | 8.81450i | −1.40343 | − | 0.279298i | ||||
\(997\) | −0.173576 | + | 0.647795i | −0.00549721 | + | 0.0205159i | −0.968620 | − | 0.248547i | \(-0.920047\pi\) |
0.963123 | + | 0.269062i | \(0.0867138\pi\) | |||||||
\(998\) | −39.2995 | + | 48.8268i | −1.24400 | + | 1.54559i | ||||
\(999\) | −3.29849 | − | 9.46555i | −0.104360 | − | 0.299477i |
(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 | 144.2.u.a.59.18 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.395.5 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.527.9 | 88 | |||
9.2 | odd | 6 | inner | 144.2.u.a.11.20 | ✓ | 88 | |
9.7 | even | 3 | 432.2.v.a.251.3 | 88 | |||
12.11 | even | 2 | 1728.2.z.a.719.22 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.131.20 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.239.3 | 88 | |||
36.7 | odd | 6 | 1728.2.z.a.143.22 | 88 | |||
36.11 | even | 6 | 576.2.y.a.335.3 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1583.22 | 88 | |||
48.35 | even | 4 | 432.2.v.a.179.3 | 88 | |||
144.29 | odd | 12 | 576.2.y.a.47.9 | 88 | |||
144.61 | even | 12 | 1728.2.z.a.1007.22 | 88 | |||
144.83 | even | 12 | inner | 144.2.u.a.83.18 | yes | 88 | |
144.115 | odd | 12 | 432.2.v.a.35.5 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.20 | ✓ | 88 | 9.2 | odd | 6 | inner | |
144.2.u.a.59.18 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.83.18 | yes | 88 | 144.83 | even | 12 | inner | |
144.2.u.a.131.20 | yes | 88 | 16.3 | odd | 4 | inner | |
432.2.v.a.35.5 | 88 | 144.115 | odd | 12 | |||
432.2.v.a.179.3 | 88 | 48.35 | even | 4 | |||
432.2.v.a.251.3 | 88 | 9.7 | even | 3 | |||
432.2.v.a.395.5 | 88 | 3.2 | odd | 2 | |||
576.2.y.a.47.9 | 88 | 144.29 | odd | 12 | |||
576.2.y.a.239.3 | 88 | 16.13 | even | 4 | |||
576.2.y.a.335.3 | 88 | 36.11 | even | 6 | |||
576.2.y.a.527.9 | 88 | 4.3 | odd | 2 | |||
1728.2.z.a.143.22 | 88 | 36.7 | odd | 6 | |||
1728.2.z.a.719.22 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1007.22 | 88 | 144.61 | even | 12 | |||
1728.2.z.a.1583.22 | 88 | 48.29 | odd | 4 |