Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (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: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 98.25 |
Dual form | 98.2.g.b.51.2 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{8}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.955573 | − | 0.294755i | 0.675692 | − | 0.208423i | ||||
\(3\) | 0.427316 | + | 1.08878i | 0.246711 | + | 0.628610i | 0.999562 | − | 0.0295810i | \(-0.00941731\pi\) |
−0.752851 | + | 0.658191i | \(0.771322\pi\) | |||||||
\(4\) | 0.826239 | − | 0.563320i | 0.413119 | − | 0.281660i | ||||
\(5\) | −0.0821245 | − | 0.0123783i | −0.0367272 | − | 0.00553573i | 0.130653 | − | 0.991428i | \(-0.458293\pi\) |
−0.167380 | + | 0.985892i | \(0.553531\pi\) | |||||||
\(6\) | 0.729256 | + | 0.914459i | 0.297718 | + | 0.373326i | ||||
\(7\) | −2.45519 | + | 0.985929i | −0.927974 | + | 0.372646i | ||||
\(8\) | 0.623490 | − | 0.781831i | 0.220437 | − | 0.276419i | ||||
\(9\) | 1.19630 | − | 1.11001i | 0.398768 | − | 0.370003i | ||||
\(10\) | −0.0821245 | + | 0.0123783i | −0.0259700 | + | 0.00391436i | ||||
\(11\) | −2.81322 | − | 2.61029i | −0.848218 | − | 0.787031i | 0.130671 | − | 0.991426i | \(-0.458287\pi\) |
−0.978889 | + | 0.204395i | \(0.934477\pi\) | |||||||
\(12\) | 0.966399 | + | 0.658880i | 0.278975 | + | 0.190202i | ||||
\(13\) | −0.384222 | + | 1.68338i | −0.106564 | + | 0.466887i | 0.893285 | + | 0.449491i | \(0.148395\pi\) |
−0.999849 | + | 0.0173958i | \(0.994462\pi\) | |||||||
\(14\) | −2.05550 | + | 1.66581i | −0.549356 | + | 0.445205i | ||||
\(15\) | −0.0216159 | − | 0.0947053i | −0.00558119 | − | 0.0244528i | ||||
\(16\) | 0.365341 | − | 0.930874i | 0.0913353 | − | 0.232718i | ||||
\(17\) | −0.107488 | + | 1.43433i | −0.0260698 | + | 0.347877i | 0.968882 | + | 0.247523i | \(0.0796166\pi\) |
−0.994952 | + | 0.100354i | \(0.968002\pi\) | |||||||
\(18\) | 0.815975 | − | 1.41331i | 0.192327 | − | 0.333121i | ||||
\(19\) | −1.48321 | − | 2.56900i | −0.340272 | − | 0.589369i | 0.644211 | − | 0.764848i | \(-0.277186\pi\) |
−0.984483 | + | 0.175479i | \(0.943853\pi\) | |||||||
\(20\) | −0.0748274 | + | 0.0360350i | −0.0167319 | + | 0.00805766i | ||||
\(21\) | −2.12260 | − | 2.25187i | −0.463190 | − | 0.491397i | ||||
\(22\) | −3.45763 | − | 1.66511i | −0.737170 | − | 0.355002i | ||||
\(23\) | 0.117227 | + | 1.56428i | 0.0244435 | + | 0.326176i | 0.995999 | + | 0.0893639i | \(0.0284834\pi\) |
−0.971556 | + | 0.236812i | \(0.923898\pi\) | |||||||
\(24\) | 1.11767 | + | 0.344756i | 0.228144 | + | 0.0703731i | ||||
\(25\) | −4.77127 | − | 1.47174i | −0.954255 | − | 0.294349i | ||||
\(26\) | 0.129035 | + | 1.72185i | 0.0253058 | + | 0.337682i | ||||
\(27\) | 4.88118 | + | 2.35065i | 0.939383 | + | 0.452383i | ||||
\(28\) | −1.47318 | + | 2.19767i | −0.278404 | + | 0.415320i | ||||
\(29\) | 4.85915 | − | 2.34005i | 0.902322 | − | 0.434535i | 0.0755951 | − | 0.997139i | \(-0.475914\pi\) |
0.826727 | + | 0.562603i | \(0.190200\pi\) | |||||||
\(30\) | −0.0485704 | − | 0.0841264i | −0.00886770 | − | 0.0153593i | ||||
\(31\) | −5.30003 | + | 9.17993i | −0.951914 | + | 1.64876i | −0.210637 | + | 0.977564i | \(0.567554\pi\) |
−0.741277 | + | 0.671199i | \(0.765780\pi\) | |||||||
\(32\) | 0.0747301 | − | 0.997204i | 0.0132105 | − | 0.176282i | ||||
\(33\) | 1.63990 | − | 4.17841i | 0.285471 | − | 0.727367i | ||||
\(34\) | 0.320064 | + | 1.40229i | 0.0548905 | + | 0.240491i | ||||
\(35\) | 0.213835 | − | 0.0505779i | 0.0361447 | − | 0.00854923i | ||||
\(36\) | 0.363143 | − | 1.59103i | 0.0605239 | − | 0.265172i | ||||
\(37\) | 6.91645 | + | 4.71556i | 1.13706 | + | 0.775233i | 0.977287 | − | 0.211921i | \(-0.0679719\pi\) |
0.159771 | + | 0.987154i | \(0.448924\pi\) | |||||||
\(38\) | −2.17454 | − | 2.01768i | −0.352758 | − | 0.327311i | ||||
\(39\) | −1.99703 | + | 0.301003i | −0.319780 | + | 0.0481991i | ||||
\(40\) | −0.0608815 | + | 0.0564898i | −0.00962621 | + | 0.00893182i | ||||
\(41\) | 2.53433 | − | 3.17795i | 0.395796 | − | 0.496312i | −0.543505 | − | 0.839406i | \(-0.682903\pi\) |
0.939301 | + | 0.343093i | \(0.111475\pi\) | |||||||
\(42\) | −2.69205 | − | 1.52617i | −0.415393 | − | 0.235494i | ||||
\(43\) | −0.652186 | − | 0.817816i | −0.0994574 | − | 0.124716i | 0.729612 | − | 0.683861i | \(-0.239701\pi\) |
−0.829069 | + | 0.559146i | \(0.811129\pi\) | |||||||
\(44\) | −3.79482 | − | 0.571977i | −0.572090 | − | 0.0862287i | ||||
\(45\) | −0.111986 | + | 0.0763507i | −0.0166939 | + | 0.0113817i | ||||
\(46\) | 0.573099 | + | 1.46023i | 0.0844989 | + | 0.215300i | ||||
\(47\) | 8.15500 | − | 2.51548i | 1.18953 | − | 0.366921i | 0.364064 | − | 0.931374i | \(-0.381389\pi\) |
0.825465 | + | 0.564453i | \(0.190913\pi\) | |||||||
\(48\) | 1.16964 | 0.168822 | ||||||||
\(49\) | 5.05589 | − | 4.84128i | 0.722270 | − | 0.691611i | ||||
\(50\) | −4.99310 | −0.706131 | ||||||||
\(51\) | −1.60761 | + | 0.495882i | −0.225110 | + | 0.0694374i | ||||
\(52\) | 0.630826 | + | 1.60732i | 0.0874798 | + | 0.222895i | ||||
\(53\) | 2.84982 | − | 1.94297i | 0.391452 | − | 0.266888i | −0.351560 | − | 0.936165i | \(-0.614349\pi\) |
0.743012 | + | 0.669278i | \(0.233396\pi\) | |||||||
\(54\) | 5.35719 | + | 0.807466i | 0.729021 | + | 0.109882i | ||||
\(55\) | 0.198723 | + | 0.249191i | 0.0267959 | + | 0.0336009i | ||||
\(56\) | −0.759954 | + | 2.53426i | −0.101553 | + | 0.338655i | ||||
\(57\) | 2.16329 | − | 2.71267i | 0.286534 | − | 0.359302i | ||||
\(58\) | 3.95354 | − | 3.66834i | 0.519125 | − | 0.481677i | ||||
\(59\) | 3.45547 | − | 0.520829i | 0.449864 | − | 0.0678061i | 0.0797971 | − | 0.996811i | \(-0.474573\pi\) |
0.370067 | + | 0.929005i | \(0.379335\pi\) | |||||||
\(60\) | −0.0712092 | − | 0.0660725i | −0.00919307 | − | 0.00852993i | ||||
\(61\) | 0.521887 | + | 0.355817i | 0.0668208 | + | 0.0455576i | 0.596270 | − | 0.802784i | \(-0.296649\pi\) |
−0.529449 | + | 0.848342i | \(0.677601\pi\) | |||||||
\(62\) | −2.35874 | + | 10.3343i | −0.299560 | + | 1.31246i | ||||
\(63\) | −1.84276 | + | 3.90475i | −0.232166 | + | 0.491952i | ||||
\(64\) | −0.222521 | − | 0.974928i | −0.0278151 | − | 0.121866i | ||||
\(65\) | 0.0523914 | − | 0.133491i | 0.00649835 | − | 0.0165575i | ||||
\(66\) | 0.335440 | − | 4.47614i | 0.0412899 | − | 0.550975i | ||||
\(67\) | −5.32626 | + | 9.22534i | −0.650706 | + | 1.12706i | 0.332246 | + | 0.943193i | \(0.392193\pi\) |
−0.982952 | + | 0.183863i | \(0.941140\pi\) | |||||||
\(68\) | 0.719177 | + | 1.24565i | 0.0872131 | + | 0.151057i | ||||
\(69\) | −1.65307 | + | 0.796078i | −0.199007 | + | 0.0958366i | ||||
\(70\) | 0.189427 | − | 0.111360i | 0.0226409 | − | 0.0133101i | ||||
\(71\) | −4.00735 | − | 1.92984i | −0.475585 | − | 0.229030i | 0.180706 | − | 0.983537i | \(-0.442162\pi\) |
−0.656292 | + | 0.754507i | \(0.727876\pi\) | |||||||
\(72\) | −0.121956 | − | 1.62739i | −0.0143726 | − | 0.191789i | ||||
\(73\) | −7.73648 | − | 2.38639i | −0.905486 | − | 0.279306i | −0.193171 | − | 0.981165i | \(-0.561877\pi\) |
−0.712315 | + | 0.701860i | \(0.752353\pi\) | |||||||
\(74\) | 7.99911 | + | 2.46740i | 0.929878 | + | 0.286829i | ||||
\(75\) | −0.436432 | − | 5.82378i | −0.0503949 | − | 0.672473i | ||||
\(76\) | −2.67266 | − | 1.28708i | −0.306575 | − | 0.147639i | ||||
\(77\) | 9.48054 | + | 3.63511i | 1.08041 | + | 0.414259i | ||||
\(78\) | −1.81958 | + | 0.876264i | −0.206027 | + | 0.0992174i | ||||
\(79\) | 6.16039 | + | 10.6701i | 0.693098 | + | 1.20048i | 0.970818 | + | 0.239818i | \(0.0770879\pi\) |
−0.277720 | + | 0.960662i | \(0.589579\pi\) | |||||||
\(80\) | −0.0415261 | + | 0.0719253i | −0.00464276 | + | 0.00804149i | ||||
\(81\) | −0.107677 | + | 1.43686i | −0.0119642 | + | 0.159651i | ||||
\(82\) | 1.48502 | − | 3.78377i | 0.163993 | − | 0.417847i | ||||
\(83\) | −3.19663 | − | 14.0054i | −0.350876 | − | 1.53729i | −0.775164 | − | 0.631760i | \(-0.782333\pi\) |
0.424288 | − | 0.905527i | \(-0.360524\pi\) | |||||||
\(84\) | −3.02230 | − | 0.664873i | −0.329760 | − | 0.0725436i | ||||
\(85\) | 0.0265820 | − | 0.116463i | 0.00288322 | − | 0.0126322i | ||||
\(86\) | −0.864267 | − | 0.589247i | −0.0931963 | − | 0.0635401i | ||||
\(87\) | 4.62420 | + | 4.29063i | 0.495766 | + | 0.460004i | ||||
\(88\) | −3.79482 | + | 0.571977i | −0.404529 | + | 0.0609729i | ||||
\(89\) | −11.3737 | + | 10.5532i | −1.20560 | + | 1.11864i | −0.215766 | + | 0.976445i | \(0.569225\pi\) |
−0.989839 | + | 0.142193i | \(0.954585\pi\) | |||||||
\(90\) | −0.0845059 | + | 0.105967i | −0.00890771 | + | 0.0111699i | ||||
\(91\) | −0.716361 | − | 4.51184i | −0.0750951 | − | 0.472969i | ||||
\(92\) | 0.978050 | + | 1.22644i | 0.101969 | + | 0.127865i | ||||
\(93\) | −12.2597 | − | 1.84786i | −1.27128 | − | 0.191614i | ||||
\(94\) | 7.05124 | − | 4.80746i | 0.727280 | − | 0.495851i | ||||
\(95\) | 0.0900084 | + | 0.229338i | 0.00923466 | + | 0.0235295i | ||||
\(96\) | 1.11767 | − | 0.344756i | 0.114072 | − | 0.0351866i | ||||
\(97\) | −12.3285 | −1.25177 | −0.625885 | − | 0.779915i | \(-0.715262\pi\) | ||||
−0.625885 | + | 0.779915i | \(0.715262\pi\) | |||||||
\(98\) | 3.40428 | − | 6.11644i | 0.343884 | − | 0.617854i | ||||
\(99\) | −6.26291 | −0.629446 | ||||||||
\(100\) | −4.77127 | + | 1.47174i | −0.477127 | + | 0.147174i | ||||
\(101\) | −5.14955 | − | 13.1208i | −0.512400 | − | 1.30557i | −0.919823 | − | 0.392333i | \(-0.871668\pi\) |
0.407424 | − | 0.913239i | \(-0.366427\pi\) | |||||||
\(102\) | −1.39002 | + | 0.947703i | −0.137633 | + | 0.0938366i | ||||
\(103\) | −15.5066 | − | 2.33725i | −1.52791 | − | 0.230296i | −0.669328 | − | 0.742967i | \(-0.733418\pi\) |
−0.858585 | + | 0.512671i | \(0.828656\pi\) | |||||||
\(104\) | 1.07656 | + | 1.34997i | 0.105566 | + | 0.132375i | ||||
\(105\) | 0.146444 | + | 0.211207i | 0.0142914 | + | 0.0206117i | ||||
\(106\) | 2.15051 | − | 2.69665i | 0.208876 | − | 0.261922i | ||||
\(107\) | 8.48455 | − | 7.87251i | 0.820232 | − | 0.761065i | −0.153648 | − | 0.988126i | \(-0.549102\pi\) |
0.973881 | + | 0.227061i | \(0.0729117\pi\) | |||||||
\(108\) | 5.35719 | − | 0.807466i | 0.515496 | − | 0.0776985i | ||||
\(109\) | −3.06504 | − | 2.84394i | −0.293577 | − | 0.272400i | 0.519608 | − | 0.854405i | \(-0.326078\pi\) |
−0.813185 | + | 0.582005i | \(0.802268\pi\) | |||||||
\(110\) | 0.263345 | + | 0.179546i | 0.0251090 | + | 0.0171190i | ||||
\(111\) | −2.17871 | + | 9.54556i | −0.206794 | + | 0.906024i | ||||
\(112\) | 0.0207943 | + | 2.64567i | 0.00196488 | + | 0.249992i | ||||
\(113\) | 3.69142 | + | 16.1732i | 0.347259 | + | 1.52144i | 0.783373 | + | 0.621552i | \(0.213497\pi\) |
−0.436114 | + | 0.899892i | \(0.643646\pi\) | |||||||
\(114\) | 1.26760 | − | 3.22980i | 0.118722 | − | 0.302498i | ||||
\(115\) | 0.00973594 | − | 0.129917i | 0.000907881 | − | 0.0121148i | ||||
\(116\) | 2.69663 | − | 4.67070i | 0.250376 | − | 0.433663i | ||||
\(117\) | 1.40893 | + | 2.44033i | 0.130255 | + | 0.225609i | ||||
\(118\) | 3.14844 | − | 1.51621i | 0.289837 | − | 0.139578i | ||||
\(119\) | −1.15025 | − | 3.62753i | −0.105443 | − | 0.332535i | ||||
\(120\) | −0.0875208 | − | 0.0421478i | −0.00798952 | − | 0.00384755i | ||||
\(121\) | 0.278579 | + | 3.71738i | 0.0253253 | + | 0.337943i | ||||
\(122\) | 0.603580 | + | 0.186180i | 0.0546456 | + | 0.0168559i | ||||
\(123\) | 4.54306 | + | 1.40135i | 0.409634 | + | 0.126355i | ||||
\(124\) | 0.792144 | + | 10.5704i | 0.0711366 | + | 0.949252i | ||||
\(125\) | 0.747758 | + | 0.360101i | 0.0668815 | + | 0.0322084i | ||||
\(126\) | −0.609949 | + | 4.27444i | −0.0543386 | + | 0.380797i | ||||
\(127\) | 2.18072 | − | 1.05018i | 0.193507 | − | 0.0931882i | −0.334621 | − | 0.942353i | \(-0.608608\pi\) |
0.528128 | + | 0.849165i | \(0.322894\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 0.611735 | − | 1.05956i | 0.0538602 | − | 0.0932887i | ||||
\(130\) | 0.0107166 | − | 0.143003i | 0.000939908 | − | 0.0125422i | ||||
\(131\) | 0.160095 | − | 0.407915i | 0.0139876 | − | 0.0356397i | −0.923709 | − | 0.383094i | \(-0.874859\pi\) |
0.937697 | + | 0.347454i | \(0.112954\pi\) | |||||||
\(132\) | −0.998828 | − | 4.37615i | −0.0869368 | − | 0.380895i | ||||
\(133\) | 6.17442 | + | 4.84504i | 0.535390 | + | 0.420118i | ||||
\(134\) | −2.37041 | + | 10.3854i | −0.204772 | + | 0.897164i | ||||
\(135\) | −0.371767 | − | 0.253467i | −0.0319966 | − | 0.0218149i | ||||
\(136\) | 1.05439 | + | 0.978330i | 0.0904131 | + | 0.0838911i | ||||
\(137\) | 16.6234 | − | 2.50558i | 1.42023 | − | 0.214066i | 0.606399 | − | 0.795161i | \(-0.292614\pi\) |
0.813836 | + | 0.581095i | \(0.197376\pi\) | |||||||
\(138\) | −1.34498 | + | 1.24796i | −0.114493 | + | 0.106234i | ||||
\(139\) | 12.5175 | − | 15.6965i | 1.06172 | − | 1.33136i | 0.120825 | − | 0.992674i | \(-0.461446\pi\) |
0.940899 | − | 0.338687i | \(-0.109983\pi\) | |||||||
\(140\) | 0.148187 | − | 0.162247i | 0.0125241 | − | 0.0137124i | ||||
\(141\) | 6.22358 | + | 7.80412i | 0.524120 | + | 0.657226i | ||||
\(142\) | −4.39815 | − | 0.662914i | −0.369084 | − | 0.0556305i | ||||
\(143\) | 5.47502 | − | 3.73280i | 0.457844 | − | 0.312153i | ||||
\(144\) | −0.596219 | − | 1.51914i | −0.0496849 | − | 0.126595i | ||||
\(145\) | −0.428021 | + | 0.132027i | −0.0355452 | + | 0.0109643i | ||||
\(146\) | −8.09617 | −0.670044 | ||||||||
\(147\) | 7.43157 | + | 3.43601i | 0.612945 | + | 0.283398i | ||||
\(148\) | 8.37101 | 0.688093 | ||||||||
\(149\) | −18.6831 | + | 5.76298i | −1.53058 | + | 0.472122i | −0.941801 | − | 0.336171i | \(-0.890868\pi\) |
−0.588781 | + | 0.808293i | \(0.700392\pi\) | |||||||
\(150\) | −2.13363 | − | 5.43641i | −0.174210 | − | 0.443881i | ||||
\(151\) | 1.03071 | − | 0.702723i | 0.0838776 | − | 0.0571868i | −0.520655 | − | 0.853767i | \(-0.674312\pi\) |
0.604533 | + | 0.796580i | \(0.293360\pi\) | |||||||
\(152\) | −2.93329 | − | 0.442123i | −0.237922 | − | 0.0358609i | ||||
\(153\) | 1.46353 | + | 1.83521i | 0.118320 | + | 0.148368i | ||||
\(154\) | 10.1308 | + | 0.679173i | 0.816364 | + | 0.0547294i | ||||
\(155\) | 0.548894 | − | 0.688292i | 0.0440882 | − | 0.0552849i | ||||
\(156\) | −1.48046 | + | 1.37367i | −0.118532 | + | 0.109981i | ||||
\(157\) | 9.19955 | − | 1.38661i | 0.734204 | − | 0.110663i | 0.228711 | − | 0.973494i | \(-0.426549\pi\) |
0.505493 | + | 0.862831i | \(0.331311\pi\) | |||||||
\(158\) | 9.03177 | + | 8.38026i | 0.718529 | + | 0.666697i | ||||
\(159\) | 3.33325 | + | 2.27257i | 0.264344 | + | 0.180227i | ||||
\(160\) | −0.0184808 | + | 0.0809698i | −0.00146104 | + | 0.00640123i | ||||
\(161\) | −1.83009 | − | 3.72503i | −0.144231 | − | 0.293574i | ||||
\(162\) | 0.320627 | + | 1.40476i | 0.0251908 | + | 0.110368i | ||||
\(163\) | 6.29070 | − | 16.0284i | 0.492725 | − | 1.25544i | −0.441017 | − | 0.897499i | \(-0.645382\pi\) |
0.933743 | − | 0.357945i | \(-0.116523\pi\) | |||||||
\(164\) | 0.303759 | − | 4.05338i | 0.0237196 | − | 0.316516i | ||||
\(165\) | −0.186398 | + | 0.322850i | −0.0145110 | + | 0.0251339i | ||||
\(166\) | −7.18277 | − | 12.4409i | −0.557491 | − | 0.965602i | ||||
\(167\) | −0.863130 | + | 0.415661i | −0.0667910 | + | 0.0321648i | −0.466981 | − | 0.884267i | \(-0.654658\pi\) |
0.400190 | + | 0.916432i | \(0.368944\pi\) | |||||||
\(168\) | −3.08400 | + | 0.255504i | −0.237936 | + | 0.0197126i | ||||
\(169\) | 9.02644 | + | 4.34690i | 0.694341 | + | 0.334377i | ||||
\(170\) | −0.00892714 | − | 0.119124i | −0.000684680 | − | 0.00913642i | ||||
\(171\) | −4.62599 | − | 1.42693i | −0.353758 | − | 0.109120i | ||||
\(172\) | −0.999553 | − | 0.308321i | −0.0762152 | − | 0.0235093i | ||||
\(173\) | 1.35337 | + | 18.0595i | 0.102895 | + | 1.37304i | 0.774709 | + | 0.632319i | \(0.217897\pi\) |
−0.671813 | + | 0.740720i | \(0.734484\pi\) | |||||||
\(174\) | 5.68344 | + | 2.73700i | 0.430861 | + | 0.207492i | ||||
\(175\) | 13.1654 | − | 1.09073i | 0.995211 | − | 0.0824514i | ||||
\(176\) | −3.45763 | + | 1.66511i | −0.260629 | + | 0.125512i | ||||
\(177\) | 2.04365 | + | 3.53970i | 0.153610 | + | 0.266060i | ||||
\(178\) | −7.75774 | + | 13.4368i | −0.581467 | + | 1.00713i | ||||
\(179\) | 0.172523 | − | 2.30216i | 0.0128950 | − | 0.172071i | −0.987038 | − | 0.160487i | \(-0.948694\pi\) |
0.999933 | − | 0.0115842i | \(-0.00368745\pi\) | |||||||
\(180\) | −0.0495172 | + | 0.126168i | −0.00369080 | + | 0.00940399i | ||||
\(181\) | −5.19876 | − | 22.7773i | −0.386421 | − | 1.69302i | −0.676847 | − | 0.736124i | \(-0.736654\pi\) |
0.290426 | − | 0.956897i | \(-0.406203\pi\) | |||||||
\(182\) | −2.01442 | − | 4.10024i | −0.149319 | − | 0.303930i | ||||
\(183\) | −0.164397 | + | 0.720268i | −0.0121525 | + | 0.0532438i | ||||
\(184\) | 1.29610 | + | 0.883663i | 0.0955494 | + | 0.0651445i | ||||
\(185\) | −0.509640 | − | 0.472877i | −0.0374695 | − | 0.0347666i | ||||
\(186\) | −12.2597 | + | 1.84786i | −0.898928 | + | 0.135492i | ||||
\(187\) | 4.04641 | − | 3.75452i | 0.295903 | − | 0.274558i | ||||
\(188\) | 5.32095 | − | 6.67227i | 0.388070 | − | 0.486625i | ||||
\(189\) | −14.3018 | − | 0.958797i | −1.04030 | − | 0.0697422i | ||||
\(190\) | 0.153608 | + | 0.192618i | 0.0111439 | + | 0.0139740i | ||||
\(191\) | −23.0712 | − | 3.47743i | −1.66938 | − | 0.251618i | −0.754777 | − | 0.655982i | \(-0.772255\pi\) |
−0.914598 | + | 0.404364i | \(0.867493\pi\) | |||||||
\(192\) | 0.966399 | − | 0.658880i | 0.0697438 | − | 0.0475505i | ||||
\(193\) | 3.65095 | + | 9.30247i | 0.262801 | + | 0.669607i | 0.999981 | − | 0.00608957i | \(-0.00193838\pi\) |
−0.737180 | + | 0.675696i | \(0.763843\pi\) | |||||||
\(194\) | −11.7808 | + | 3.63389i | −0.845811 | + | 0.260898i | ||||
\(195\) | 0.167731 | 0.0120114 | ||||||||
\(196\) | 1.45018 | − | 6.84814i | 0.103584 | − | 0.489153i | ||||
\(197\) | −5.64688 | −0.402324 | −0.201162 | − | 0.979558i | \(-0.564472\pi\) | ||||
−0.201162 | + | 0.979558i | \(0.564472\pi\) | |||||||
\(198\) | −5.98466 | + | 1.84602i | −0.425312 | + | 0.131191i | ||||
\(199\) | 6.14835 | + | 15.6657i | 0.435845 | + | 1.11051i | 0.965061 | + | 0.262027i | \(0.0843910\pi\) |
−0.529216 | + | 0.848487i | \(0.677514\pi\) | |||||||
\(200\) | −4.12549 | + | 2.81271i | −0.291717 | + | 0.198889i | ||||
\(201\) | −12.3204 | − | 1.85700i | −0.869014 | − | 0.130983i | ||||
\(202\) | −8.78821 | − | 11.0201i | −0.618336 | − | 0.775369i | ||||
\(203\) | −9.62302 | + | 10.5360i | −0.675403 | + | 0.739484i | ||||
\(204\) | −1.04893 | + | 1.31532i | −0.0734397 | + | 0.0920905i | ||||
\(205\) | −0.247468 | + | 0.229617i | −0.0172839 | + | 0.0160371i | ||||
\(206\) | −15.5066 | + | 2.33725i | −1.08040 | + | 0.162844i | ||||
\(207\) | 1.87661 | + | 1.74124i | 0.130433 | + | 0.121024i | ||||
\(208\) | 1.42665 | + | 0.972671i | 0.0989202 | + | 0.0674426i | ||||
\(209\) | −2.53322 | + | 11.0988i | −0.175227 | + | 0.767718i | ||||
\(210\) | 0.202192 | + | 0.158659i | 0.0139526 | + | 0.0109485i | ||||
\(211\) | 1.09599 | + | 4.80184i | 0.0754510 | + | 0.330573i | 0.998540 | − | 0.0540134i | \(-0.0172014\pi\) |
−0.923089 | + | 0.384586i | \(0.874344\pi\) | |||||||
\(212\) | 1.26011 | − | 3.21072i | 0.0865449 | − | 0.220513i | ||||
\(213\) | 0.388771 | − | 5.18779i | 0.0266382 | − | 0.355462i | ||||
\(214\) | 5.78714 | − | 10.0236i | 0.395601 | − | 0.685201i | ||||
\(215\) | 0.0434373 | + | 0.0752356i | 0.00296240 | + | 0.00513103i | ||||
\(216\) | 4.88118 | − | 2.35065i | 0.332122 | − | 0.159942i | ||||
\(217\) | 3.96182 | − | 27.7639i | 0.268946 | − | 1.88474i | ||||
\(218\) | −3.76713 | − | 1.81415i | −0.255142 | − | 0.122870i | ||||
\(219\) | −0.707662 | − | 9.44309i | −0.0478194 | − | 0.638105i | ||||
\(220\) | 0.304567 | + | 0.0939466i | 0.0205339 | + | 0.00633388i | ||||
\(221\) | −2.37323 | − | 0.732046i | −0.159641 | − | 0.0492427i | ||||
\(222\) | 0.731685 | + | 9.76366i | 0.0491075 | + | 0.655294i | ||||
\(223\) | 15.9307 | + | 7.67182i | 1.06680 | + | 0.513743i | 0.883074 | − | 0.469234i | \(-0.155470\pi\) |
0.183725 | + | 0.982978i | \(0.441184\pi\) | |||||||
\(224\) | 0.799695 | + | 2.52200i | 0.0534319 | + | 0.168508i | ||||
\(225\) | −7.34154 | + | 3.53550i | −0.489436 | + | 0.235700i | ||||
\(226\) | 8.29454 | + | 14.3666i | 0.551745 | + | 0.955650i | ||||
\(227\) | 10.9356 | − | 18.9410i | 0.725821 | − | 1.25716i | −0.232814 | − | 0.972521i | \(-0.574793\pi\) |
0.958635 | − | 0.284638i | \(-0.0918734\pi\) | |||||||
\(228\) | 0.259287 | − | 3.45994i | 0.0171717 | − | 0.229140i | ||||
\(229\) | −2.84980 | + | 7.26117i | −0.188320 | + | 0.479832i | −0.993586 | − | 0.113083i | \(-0.963928\pi\) |
0.805265 | + | 0.592914i | \(0.202023\pi\) | |||||||
\(230\) | −0.0289903 | − | 0.127015i | −0.00191157 | − | 0.00837512i | ||||
\(231\) | 0.0933394 | + | 11.8756i | 0.00614128 | + | 0.781357i | ||||
\(232\) | 1.20011 | − | 5.25803i | 0.0787912 | − | 0.345207i | ||||
\(233\) | −13.3974 | − | 9.13417i | −0.877691 | − | 0.598400i | 0.0384479 | − | 0.999261i | \(-0.487759\pi\) |
−0.916139 | + | 0.400861i | \(0.868711\pi\) | |||||||
\(234\) | 2.06563 | + | 1.91663i | 0.135034 | + | 0.125294i | ||||
\(235\) | −0.700863 | + | 0.105638i | −0.0457192 | + | 0.00689107i | ||||
\(236\) | 2.56165 | − | 2.37687i | 0.166749 | − | 0.154721i | ||||
\(237\) | −8.98500 | + | 11.2668i | −0.583639 | + | 0.731860i | ||||
\(238\) | −2.16838 | − | 3.12733i | −0.140555 | − | 0.202715i | ||||
\(239\) | −9.49666 | − | 11.9084i | −0.614288 | − | 0.770292i | 0.373241 | − | 0.927735i | \(-0.378247\pi\) |
−0.987528 | + | 0.157442i | \(0.949675\pi\) | |||||||
\(240\) | −0.0960558 | − | 0.0144781i | −0.00620038 | − | 0.000934556i | ||||
\(241\) | −9.25063 | + | 6.30697i | −0.595885 | + | 0.406268i | −0.823363 | − | 0.567516i | \(-0.807905\pi\) |
0.227477 | + | 0.973783i | \(0.426952\pi\) | |||||||
\(242\) | 1.36192 | + | 3.47011i | 0.0875474 | + | 0.223067i | ||||
\(243\) | 13.9206 | − | 4.29393i | 0.893005 | − | 0.275456i | ||||
\(244\) | 0.631642 | 0.0404367 | ||||||||
\(245\) | −0.475139 | + | 0.335004i | −0.0303555 | + | 0.0214026i | ||||
\(246\) | 4.75428 | 0.303122 | ||||||||
\(247\) | 4.89450 | − | 1.50975i | 0.311430 | − | 0.0960633i | ||||
\(248\) | 3.87264 | + | 9.86732i | 0.245913 | + | 0.626576i | ||||
\(249\) | 13.8828 | − | 9.46516i | 0.879789 | − | 0.599830i | ||||
\(250\) | 0.820679 | + | 0.123697i | 0.0519043 | + | 0.00782331i | ||||
\(251\) | 4.87826 | + | 6.11715i | 0.307913 | + | 0.386111i | 0.911578 | − | 0.411127i | \(-0.134865\pi\) |
−0.603665 | + | 0.797238i | \(0.706293\pi\) | |||||||
\(252\) | 0.677062 | + | 4.26432i | 0.0426509 | + | 0.268627i | ||||
\(253\) | 3.75344 | − | 4.70667i | 0.235977 | − | 0.295906i | ||||
\(254\) | 1.77429 | − | 1.64630i | 0.111329 | − | 0.103298i | ||||
\(255\) | 0.138162 | − | 0.0208246i | 0.00865206 | − | 0.00130409i | ||||
\(256\) | −0.733052 | − | 0.680173i | −0.0458157 | − | 0.0425108i | ||||
\(257\) | 22.7735 | + | 15.5267i | 1.42057 | + | 0.968529i | 0.998066 | + | 0.0621682i | \(0.0198015\pi\) |
0.422505 | + | 0.906361i | \(0.361151\pi\) | |||||||
\(258\) | 0.272248 | − | 1.19279i | 0.0169494 | − | 0.0742601i | ||||
\(259\) | −21.6304 | − | 4.75845i | −1.34405 | − | 0.295676i | ||||
\(260\) | −0.0319104 | − | 0.139809i | −0.00197900 | − | 0.00867057i | ||||
\(261\) | 3.21556 | − | 8.19311i | 0.199038 | − | 0.507141i | ||||
\(262\) | 0.0327473 | − | 0.436982i | 0.00202313 | − | 0.0269968i | ||||
\(263\) | −2.52644 | + | 4.37593i | −0.155787 | + | 0.269831i | −0.933345 | − | 0.358980i | \(-0.883125\pi\) |
0.777558 | + | 0.628811i | \(0.216458\pi\) | |||||||
\(264\) | −2.24435 | − | 3.88732i | −0.138130 | − | 0.239248i | ||||
\(265\) | −0.258090 | + | 0.124290i | −0.0158544 | + | 0.00763506i | ||||
\(266\) | 7.32820 | + | 2.80984i | 0.449321 | + | 0.172283i | ||||
\(267\) | −16.3503 | − | 7.87389i | −1.00062 | − | 0.481874i | ||||
\(268\) | 0.796063 | + | 10.6227i | 0.0486273 | + | 0.648886i | ||||
\(269\) | 3.39173 | + | 1.04621i | 0.206798 | + | 0.0637886i | 0.396423 | − | 0.918068i | \(-0.370251\pi\) |
−0.189626 | + | 0.981856i | \(0.560727\pi\) | |||||||
\(270\) | −0.429961 | − | 0.132625i | −0.0261666 | − | 0.00807133i | ||||
\(271\) | −1.11742 | − | 14.9109i | −0.0678784 | − | 0.905775i | −0.922370 | − | 0.386309i | \(-0.873750\pi\) |
0.854491 | − | 0.519466i | \(-0.173869\pi\) | |||||||
\(272\) | 1.29591 | + | 0.624079i | 0.0785763 | + | 0.0378403i | ||||
\(273\) | 4.60631 | − | 2.70794i | 0.278786 | − | 0.163892i | ||||
\(274\) | 15.1464 | − | 7.29410i | 0.915025 | − | 0.440653i | ||||
\(275\) | 9.58097 | + | 16.5947i | 0.577754 | + | 1.00070i | ||||
\(276\) | −0.917387 | + | 1.58896i | −0.0552202 | + | 0.0956442i | ||||
\(277\) | −1.23674 | + | 16.5031i | −0.0743085 | + | 0.991578i | 0.828068 | + | 0.560628i | \(0.189440\pi\) |
−0.902376 | + | 0.430949i | \(0.858179\pi\) | |||||||
\(278\) | 7.33480 | − | 18.6888i | 0.439912 | − | 1.12088i | ||||
\(279\) | 3.84934 | + | 16.8651i | 0.230454 | + | 1.00969i | ||||
\(280\) | 0.0937806 | − | 0.198718i | 0.00560446 | − | 0.0118757i | ||||
\(281\) | −0.0748970 | + | 0.328145i | −0.00446798 | + | 0.0195755i | −0.977113 | − | 0.212722i | \(-0.931767\pi\) |
0.972645 | + | 0.232297i | \(0.0746243\pi\) | |||||||
\(282\) | 8.24739 | + | 5.62298i | 0.491125 | + | 0.334843i | ||||
\(283\) | 9.21985 | + | 8.55477i | 0.548063 | + | 0.508529i | 0.904892 | − | 0.425641i | \(-0.139951\pi\) |
−0.356828 | + | 0.934170i | \(0.616142\pi\) | |||||||
\(284\) | −4.39815 | + | 0.662914i | −0.260982 | + | 0.0393367i | ||||
\(285\) | −0.211237 | + | 0.195999i | −0.0125126 | + | 0.0116100i | ||||
\(286\) | 4.13151 | − | 5.18075i | 0.244302 | − | 0.306344i | ||||
\(287\) | −3.08902 | + | 10.3011i | −0.182339 | + | 0.608057i | ||||
\(288\) | −1.01750 | − | 1.27591i | −0.0599570 | − | 0.0751837i | ||||
\(289\) | 14.7644 | + | 2.22537i | 0.868492 | + | 0.130904i | ||||
\(290\) | −0.370090 | + | 0.252323i | −0.0217324 | + | 0.0148169i | ||||
\(291\) | −5.26817 | − | 13.4231i | −0.308826 | − | 0.786875i | ||||
\(292\) | −7.73648 | + | 2.38639i | −0.452743 | + | 0.139653i | ||||
\(293\) | −26.8234 | −1.56704 | −0.783519 | − | 0.621368i | \(-0.786577\pi\) | ||||
−0.783519 | + | 0.621368i | \(0.786577\pi\) | |||||||
\(294\) | 8.11419 | + | 1.09287i | 0.473229 | + | 0.0637374i | ||||
\(295\) | −0.290226 | −0.0168976 | ||||||||
\(296\) | 7.99911 | − | 2.46740i | 0.464939 | − | 0.143415i | ||||
\(297\) | −7.59595 | − | 19.3542i | −0.440762 | − | 1.12304i | ||||
\(298\) | −16.1544 | + | 11.0139i | −0.935801 | + | 0.638018i | ||||
\(299\) | −2.67833 | − | 0.403694i | −0.154892 | − | 0.0233462i | ||||
\(300\) | −3.64125 | − | 4.56599i | −0.210228 | − | 0.263617i | ||||
\(301\) | 2.40755 | + | 1.36488i | 0.138769 | + | 0.0786705i | ||||
\(302\) | 0.777783 | − | 0.975309i | 0.0447564 | − | 0.0561227i | ||||
\(303\) | 12.0853 | − | 11.2135i | 0.694281 | − | 0.644199i | ||||
\(304\) | −2.93329 | + | 0.442123i | −0.168236 | + | 0.0253575i | ||||
\(305\) | −0.0384553 | − | 0.0356813i | −0.00220195 | − | 0.00204311i | ||||
\(306\) | 1.93945 | + | 1.32229i | 0.110871 | + | 0.0755906i | ||||
\(307\) | −4.14229 | + | 18.1486i | −0.236413 | + | 1.03579i | 0.707788 | + | 0.706425i | \(0.249693\pi\) |
−0.944201 | + | 0.329369i | \(0.893164\pi\) | |||||||
\(308\) | 9.88092 | − | 2.33711i | 0.563017 | − | 0.133169i | ||||
\(309\) | −4.08147 | − | 17.8821i | −0.232187 | − | 1.01728i | ||||
\(310\) | 0.321631 | − | 0.819502i | 0.0182674 | − | 0.0465446i | ||||
\(311\) | −0.475170 | + | 6.34071i | −0.0269444 | + | 0.359548i | 0.967393 | + | 0.253280i | \(0.0815094\pi\) |
−0.994337 | + | 0.106269i | \(0.966110\pi\) | |||||||
\(312\) | −1.00979 | + | 1.74901i | −0.0571682 | + | 0.0990182i | ||||
\(313\) | −7.34703 | − | 12.7254i | −0.415278 | − | 0.719283i | 0.580179 | − | 0.814489i | \(-0.302983\pi\) |
−0.995458 | + | 0.0952055i | \(0.969649\pi\) | |||||||
\(314\) | 8.38213 | − | 4.03662i | 0.473031 | − | 0.227800i | ||||
\(315\) | 0.199670 | − | 0.297865i | 0.0112501 | − | 0.0167828i | ||||
\(316\) | 11.1006 | + | 5.34578i | 0.624459 | + | 0.300724i | ||||
\(317\) | 1.50898 | + | 20.1359i | 0.0847527 | + | 1.13095i | 0.863751 | + | 0.503919i | \(0.168109\pi\) |
−0.778998 | + | 0.627026i | \(0.784272\pi\) | |||||||
\(318\) | 3.85501 | + | 1.18911i | 0.216178 | + | 0.0666822i | ||||
\(319\) | −19.7781 | − | 6.10072i | −1.10736 | − | 0.341575i | ||||
\(320\) | 0.00620649 | + | 0.0828199i | 0.000346954 | + | 0.00462977i | ||||
\(321\) | 12.1970 | + | 5.87379i | 0.680773 | + | 0.327843i | ||||
\(322\) | −2.84675 | − | 3.02011i | −0.158643 | − | 0.168304i | ||||
\(323\) | 3.84423 | − | 1.85128i | 0.213899 | − | 0.103008i | ||||
\(324\) | 0.720442 | + | 1.24784i | 0.0400246 | + | 0.0693246i | ||||
\(325\) | 4.31074 | − | 7.46641i | 0.239117 | − | 0.414162i | ||||
\(326\) | 1.28675 | − | 17.1706i | 0.0712668 | − | 0.950989i | ||||
\(327\) | 1.78669 | − | 4.55242i | 0.0988044 | − | 0.251750i | ||||
\(328\) | −0.904492 | − | 3.96284i | −0.0499422 | − | 0.218811i | ||||
\(329\) | −17.5420 | + | 14.2162i | −0.967120 | + | 0.783766i | ||||
\(330\) | −0.0829548 | + | 0.363449i | −0.00456651 | + | 0.0200072i | ||||
\(331\) | 5.41808 | + | 3.69399i | 0.297805 | + | 0.203040i | 0.702999 | − | 0.711191i | \(-0.251844\pi\) |
−0.405194 | + | 0.914231i | \(0.632796\pi\) | |||||||
\(332\) | −10.5307 | − | 9.77104i | −0.577946 | − | 0.536256i | ||||
\(333\) | 13.5085 | − | 2.03608i | 0.740261 | − | 0.111576i | ||||
\(334\) | −0.702265 | + | 0.651607i | −0.0384262 | + | 0.0356543i | ||||
\(335\) | 0.551610 | − | 0.691697i | 0.0301377 | − | 0.0377914i | ||||
\(336\) | −2.87168 | + | 1.15318i | −0.156663 | + | 0.0629110i | ||||
\(337\) | −4.21499 | − | 5.28543i | −0.229605 | − | 0.287916i | 0.653661 | − | 0.756787i | \(-0.273232\pi\) |
−0.883266 | + | 0.468872i | \(0.844661\pi\) | |||||||
\(338\) | 9.90669 | + | 1.49319i | 0.538853 | + | 0.0812190i | ||||
\(339\) | −16.0317 | + | 10.9302i | −0.870721 | + | 0.593648i | ||||
\(340\) | −0.0436431 | − | 0.111201i | −0.00236688 | − | 0.00603071i | ||||
\(341\) | 38.8724 | − | 11.9905i | 2.10506 | − | 0.649324i | ||||
\(342\) | −4.84106 | −0.261775 | ||||||||
\(343\) | −7.64000 | + | 16.8710i | −0.412521 | + | 0.910948i | ||||
\(344\) | −1.04603 | −0.0563979 | ||||||||
\(345\) | 0.145612 | − | 0.0449153i | 0.00783948 | − | 0.00241816i | ||||
\(346\) | 6.61638 | + | 16.8583i | 0.355699 | + | 0.906306i | ||||
\(347\) | −15.4713 | + | 10.5481i | −0.830542 | + | 0.566254i | −0.902270 | − | 0.431171i | \(-0.858101\pi\) |
0.0717289 | + | 0.997424i | \(0.477148\pi\) | |||||||
\(348\) | 6.23769 | + | 0.940180i | 0.334375 | + | 0.0503990i | ||||
\(349\) | 0.330869 | + | 0.414897i | 0.0177110 | + | 0.0222089i | 0.790608 | − | 0.612322i | \(-0.209765\pi\) |
−0.772897 | + | 0.634531i | \(0.781193\pi\) | |||||||
\(350\) | 12.2590 | − | 4.92284i | 0.655271 | − | 0.263137i | ||||
\(351\) | −5.83250 | + | 7.31373i | −0.311316 | + | 0.390378i | ||||
\(352\) | −2.81322 | + | 2.61029i | −0.149945 | + | 0.139129i | ||||
\(353\) | 0.927654 | − | 0.139821i | 0.0493740 | − | 0.00744194i | −0.124309 | − | 0.992244i | \(-0.539671\pi\) |
0.173683 | + | 0.984802i | \(0.444433\pi\) | |||||||
\(354\) | 2.99620 | + | 2.78007i | 0.159246 | + | 0.147759i | ||||
\(355\) | 0.305214 | + | 0.208091i | 0.0161991 | + | 0.0110443i | ||||
\(356\) | −3.45252 | + | 15.1265i | −0.182983 | + | 0.801702i | ||||
\(357\) | 3.45808 | − | 2.80247i | 0.183021 | − | 0.148323i | ||||
\(358\) | −0.513715 | − | 2.25073i | −0.0271507 | − | 0.118955i | ||||
\(359\) | 9.15965 | − | 23.3384i | 0.483428 | − | 1.23175i | −0.456299 | − | 0.889827i | \(-0.650825\pi\) |
0.939727 | − | 0.341927i | \(-0.111080\pi\) | |||||||
\(360\) | −0.0101287 | + | 0.135158i | −0.000533829 | + | 0.00712345i | ||||
\(361\) | 5.10016 | − | 8.83373i | 0.268429 | − | 0.464933i | ||||
\(362\) | −11.6815 | − | 20.2330i | −0.613967 | − | 1.06342i | ||||
\(363\) | −3.92838 | + | 1.89181i | −0.206186 | + | 0.0992941i | ||||
\(364\) | −3.13350 | − | 3.32432i | −0.164240 | − | 0.174242i | ||||
\(365\) | 0.605815 | + | 0.291745i | 0.0317098 | + | 0.0152706i | ||||
\(366\) | 0.0552100 | + | 0.736726i | 0.00288587 | + | 0.0385093i | ||||
\(367\) | −9.88869 | − | 3.05026i | −0.516185 | − | 0.159222i | 0.0257078 | − | 0.999670i | \(-0.491816\pi\) |
−0.541893 | + | 0.840447i | \(0.682292\pi\) | |||||||
\(368\) | 1.49898 | + | 0.462374i | 0.0781396 | + | 0.0241029i | ||||
\(369\) | −0.495720 | − | 6.61492i | −0.0258062 | − | 0.344359i | ||||
\(370\) | −0.626381 | − | 0.301649i | −0.0325640 | − | 0.0156820i | ||||
\(371\) | −5.08120 | + | 7.58007i | −0.263803 | + | 0.393538i | ||||
\(372\) | −11.1704 | + | 5.37939i | −0.579159 | + | 0.278908i | ||||
\(373\) | 2.13722 | + | 3.70178i | 0.110661 | + | 0.191671i | 0.916037 | − | 0.401094i | \(-0.131370\pi\) |
−0.805376 | + | 0.592764i | \(0.798037\pi\) | |||||||
\(374\) | 2.75997 | − | 4.78042i | 0.142715 | − | 0.247189i | ||||
\(375\) | −0.0725433 | + | 0.968024i | −0.00374612 | + | 0.0499885i | ||||
\(376\) | 3.11787 | − | 7.94421i | 0.160792 | − | 0.409692i | ||||
\(377\) | 2.07220 | + | 9.07892i | 0.106724 | + | 0.467588i | ||||
\(378\) | −13.9490 | + | 3.29932i | −0.717459 | + | 0.169699i | ||||
\(379\) | 1.68237 | − | 7.37095i | 0.0864176 | − | 0.378620i | −0.913163 | − | 0.407596i | \(-0.866367\pi\) |
0.999580 | + | 0.0289753i | \(0.00922443\pi\) | |||||||
\(380\) | 0.203559 | + | 0.138784i | 0.0104423 | + | 0.00711947i | ||||
\(381\) | 2.07527 | + | 1.92557i | 0.106319 | + | 0.0986499i | ||||
\(382\) | −23.0712 | + | 3.47743i | −1.18043 | + | 0.177921i | ||||
\(383\) | −7.53418 | + | 6.99070i | −0.384979 | + | 0.357208i | −0.848794 | − | 0.528724i | \(-0.822671\pi\) |
0.463815 | + | 0.885932i | \(0.346480\pi\) | |||||||
\(384\) | 0.729256 | − | 0.914459i | 0.0372147 | − | 0.0466658i | ||||
\(385\) | −0.733588 | − | 0.415884i | −0.0373871 | − | 0.0211954i | ||||
\(386\) | 6.23070 | + | 7.81305i | 0.317134 | + | 0.397674i | ||||
\(387\) | −1.68800 | − | 0.254424i | −0.0858056 | − | 0.0129331i | ||||
\(388\) | −10.1863 | + | 6.94490i | −0.517131 | + | 0.352574i | ||||
\(389\) | −11.5745 | − | 29.4913i | −0.586849 | − | 1.49527i | −0.848014 | − | 0.529973i | \(-0.822202\pi\) |
0.261165 | − | 0.965294i | \(-0.415893\pi\) | |||||||
\(390\) | 0.160279 | − | 0.0494395i | 0.00811604 | − | 0.00250347i | ||||
\(391\) | −2.25630 | −0.114106 | ||||||||
\(392\) | −0.632768 | − | 6.97134i | −0.0319596 | − | 0.352106i | ||||
\(393\) | 0.512543 | 0.0258544 | ||||||||
\(394\) | −5.39601 | + | 1.66445i | −0.271847 | + | 0.0838537i | ||||
\(395\) | −0.373841 | − | 0.952532i | −0.0188100 | − | 0.0479271i | ||||
\(396\) | −5.17466 | + | 3.52802i | −0.260036 | + | 0.177290i | ||||
\(397\) | −1.40551 | − | 0.211846i | −0.0705403 | − | 0.0106322i | 0.113677 | − | 0.993518i | \(-0.463737\pi\) |
−0.184218 | + | 0.982885i | \(0.558975\pi\) | |||||||
\(398\) | 10.4927 | + | 13.1575i | 0.525954 | + | 0.659525i | ||||
\(399\) | −2.63677 | + | 8.79297i | −0.132004 | + | 0.440199i | ||||
\(400\) | −3.11315 | + | 3.90376i | −0.155657 | + | 0.195188i | ||||
\(401\) | −6.48599 | + | 6.01812i | −0.323895 | + | 0.300530i | −0.825314 | − | 0.564674i | \(-0.809002\pi\) |
0.501419 | + | 0.865204i | \(0.332811\pi\) | |||||||
\(402\) | −12.3204 | + | 1.85700i | −0.614486 | + | 0.0926188i | ||||
\(403\) | −13.4170 | − | 12.4491i | −0.668346 | − | 0.620135i | ||||
\(404\) | −11.6460 | − | 7.94010i | −0.579410 | − | 0.395035i | ||||
\(405\) | 0.0266288 | − | 0.116668i | 0.00132319 | − | 0.00579729i | ||||
\(406\) | −6.08994 | + | 12.9044i | −0.302239 | + | 0.640433i | ||||
\(407\) | −7.14855 | − | 31.3198i | −0.354340 | − | 1.55247i | ||||
\(408\) | −0.614632 | + | 1.56606i | −0.0304288 | + | 0.0775314i | ||||
\(409\) | −1.23131 | + | 16.4307i | −0.0608844 | + | 0.812446i | 0.880271 | + | 0.474472i | \(0.157361\pi\) |
−0.941155 | + | 0.337975i | \(0.890258\pi\) | |||||||
\(410\) | −0.168793 | + | 0.292358i | −0.00833610 | + | 0.0144385i | ||||
\(411\) | 9.83149 | + | 17.0286i | 0.484951 | + | 0.839960i | ||||
\(412\) | −14.1288 | + | 6.80407i | −0.696075 | + | 0.335212i | ||||
\(413\) | −7.97033 | + | 4.68558i | −0.392194 | + | 0.230562i | ||||
\(414\) | 2.30647 | + | 1.11074i | 0.113357 | + | 0.0545898i | ||||
\(415\) | 0.0891596 | + | 1.18975i | 0.00437667 | + | 0.0584026i | ||||
\(416\) | 1.64996 | + | 0.508947i | 0.0808962 | + | 0.0249532i | ||||
\(417\) | 22.4391 | + | 6.92153i | 1.09885 | + | 0.338949i | ||||
\(418\) | 0.850742 | + | 11.3524i | 0.0416112 | + | 0.555262i | ||||
\(419\) | 19.8456 | + | 9.55716i | 0.969523 | + | 0.466898i | 0.850489 | − | 0.525992i | \(-0.176306\pi\) |
0.119034 | + | 0.992890i | \(0.462020\pi\) | |||||||
\(420\) | 0.239975 | + | 0.0920132i | 0.0117096 | + | 0.00448978i | ||||
\(421\) | 5.78843 | − | 2.78756i | 0.282111 | − | 0.135857i | −0.287478 | − | 0.957787i | \(-0.592817\pi\) |
0.569589 | + | 0.821930i | \(0.307103\pi\) | |||||||
\(422\) | 2.46267 | + | 4.26546i | 0.119881 | + | 0.207639i | ||||
\(423\) | 6.96365 | − | 12.0614i | 0.338584 | − | 0.586446i | ||||
\(424\) | 0.257755 | − | 3.43950i | 0.0125177 | − | 0.167037i | ||||
\(425\) | 2.62383 | − | 6.68540i | 0.127274 | − | 0.324289i | ||||
\(426\) | −1.15763 | − | 5.07190i | −0.0560873 | − | 0.245735i | ||||
\(427\) | −1.63214 | − | 0.359053i | −0.0789848 | − | 0.0173758i | ||||
\(428\) | 2.57552 | − | 11.2841i | 0.124492 | − | 0.545437i | ||||
\(429\) | 6.40378 | + | 4.36602i | 0.309177 | + | 0.210794i | ||||
\(430\) | 0.0636836 | + | 0.0590898i | 0.00307110 | + | 0.00284956i | ||||
\(431\) | 10.0006 | − | 1.50735i | 0.481712 | − | 0.0726063i | 0.0963025 | − | 0.995352i | \(-0.469298\pi\) |
0.385409 | + | 0.922746i | \(0.374060\pi\) | |||||||
\(432\) | 3.97145 | − | 3.68497i | 0.191077 | − | 0.177293i | ||||
\(433\) | −0.926528 | + | 1.16183i | −0.0445261 | + | 0.0558339i | −0.803596 | − | 0.595175i | \(-0.797083\pi\) |
0.759070 | + | 0.651009i | \(0.225654\pi\) | |||||||
\(434\) | −4.39774 | − | 27.6982i | −0.211098 | − | 1.32956i | ||||
\(435\) | −0.326649 | − | 0.409605i | −0.0156616 | − | 0.0196391i | ||||
\(436\) | −4.13450 | − | 0.623176i | −0.198007 | − | 0.0298447i | ||||
\(437\) | 3.84477 | − | 2.62132i | 0.183920 | − | 0.125395i | ||||
\(438\) | −3.45962 | − | 8.81498i | −0.165307 | − | 0.421196i | ||||
\(439\) | −11.1135 | + | 3.42806i | −0.530418 | + | 0.163612i | −0.548384 | − | 0.836226i | \(-0.684757\pi\) |
0.0179667 | + | 0.999839i | \(0.494281\pi\) | |||||||
\(440\) | 0.318728 | 0.0151947 | ||||||||
\(441\) | 0.674524 | − | 11.4037i | 0.0321202 | − | 0.543034i | ||||
\(442\) | −2.48357 | −0.118132 | ||||||||
\(443\) | 13.2495 | − | 4.08693i | 0.629503 | − | 0.194176i | 0.0364449 | − | 0.999336i | \(-0.488397\pi\) |
0.593058 | + | 0.805160i | \(0.297920\pi\) | |||||||
\(444\) | 3.57707 | + | 9.11422i | 0.169760 | + | 0.432542i | ||||
\(445\) | 1.06469 | − | 0.725891i | 0.0504710 | − | 0.0344105i | ||||
\(446\) | 17.4843 | + | 2.63533i | 0.827904 | + | 0.124786i | ||||
\(447\) | −14.2582 | − | 17.8793i | −0.674392 | − | 0.845661i | ||||
\(448\) | 1.50754 | + | 2.17424i | 0.0712246 | + | 0.102723i | ||||
\(449\) | −11.5144 | + | 14.4386i | −0.543399 | + | 0.681401i | −0.975392 | − | 0.220476i | \(-0.929239\pi\) |
0.431993 | + | 0.901877i | \(0.357810\pi\) | |||||||
\(450\) | −5.97327 | + | 5.54239i | −0.281583 | + | 0.261271i | ||||
\(451\) | −15.4250 | + | 2.32494i | −0.726334 | + | 0.109477i | ||||
\(452\) | 12.1607 | + | 11.2834i | 0.571989 | + | 0.530729i | ||||
\(453\) | 1.20555 | + | 0.821930i | 0.0566417 | + | 0.0386177i | ||||
\(454\) | 4.86680 | − | 21.3228i | 0.228410 | − | 1.00073i | ||||
\(455\) | 0.00298200 | + | 0.379400i | 0.000139798 | + | 0.0177865i | ||||
\(456\) | −0.772068 | − | 3.38265i | −0.0361554 | − | 0.158407i | ||||
\(457\) | 0.437853 | − | 1.11563i | 0.0204819 | − | 0.0521871i | −0.920267 | − | 0.391291i | \(-0.872029\pi\) |
0.940749 | + | 0.339104i | \(0.110124\pi\) | |||||||
\(458\) | −0.582924 | + | 7.77857i | −0.0272382 | + | 0.363469i | ||||
\(459\) | −3.89629 | + | 6.74857i | −0.181863 | + | 0.314996i | ||||
\(460\) | −0.0651407 | − | 0.112827i | −0.00303720 | − | 0.00526058i | ||||
\(461\) | 33.0565 | − | 15.9192i | 1.53960 | − | 0.741430i | 0.544353 | − | 0.838856i | \(-0.316775\pi\) |
0.995243 | + | 0.0974256i | \(0.0310608\pi\) | |||||||
\(462\) | 3.58959 | + | 11.3205i | 0.167003 | + | 0.526677i | ||||
\(463\) | 14.3697 | + | 6.92010i | 0.667818 | + | 0.321604i | 0.736895 | − | 0.676007i | \(-0.236291\pi\) |
−0.0690768 | + | 0.997611i | \(0.522005\pi\) | |||||||
\(464\) | −0.403038 | − | 5.37817i | −0.0187106 | − | 0.249675i | ||||
\(465\) | 0.983952 | + | 0.303509i | 0.0456297 | + | 0.0140749i | ||||
\(466\) | −15.4945 | − | 4.77942i | −0.717769 | − | 0.221402i | ||||
\(467\) | −1.01568 | − | 13.5533i | −0.0469999 | − | 0.627170i | −0.970115 | − | 0.242646i | \(-0.921985\pi\) |
0.923115 | − | 0.384524i | \(-0.125634\pi\) | |||||||
\(468\) | 2.53880 | + | 1.22262i | 0.117356 | + | 0.0565156i | ||||
\(469\) | 3.98142 | − | 27.9013i | 0.183845 | − | 1.28836i | ||||
\(470\) | −0.638588 | + | 0.307528i | −0.0294559 | + | 0.0141852i | ||||
\(471\) | 5.44083 | + | 9.42380i | 0.250700 | + | 0.434226i | ||||
\(472\) | 1.74725 | − | 3.02633i | 0.0804238 | − | 0.139298i | ||||
\(473\) | −0.299990 | + | 4.00309i | −0.0137936 | + | 0.184062i | ||||
\(474\) | −5.26487 | + | 13.4147i | −0.241823 | + | 0.616156i | ||||
\(475\) | 3.29591 | + | 14.4403i | 0.151227 | + | 0.662567i | ||||
\(476\) | −2.99384 | − | 2.34925i | −0.137222 | − | 0.107678i | ||||
\(477\) | 1.25253 | − | 5.48770i | 0.0573495 | − | 0.251265i | ||||
\(478\) | −12.5848 | − | 8.58018i | −0.575616 | − | 0.392448i | ||||
\(479\) | 16.0154 | + | 14.8601i | 0.731760 | + | 0.678974i | 0.955273 | − | 0.295727i | \(-0.0955618\pi\) |
−0.223512 | + | 0.974701i | \(0.571752\pi\) | |||||||
\(480\) | −0.0960558 | + | 0.0144781i | −0.00438433 | + | 0.000660831i | ||||
\(481\) | −10.5956 | + | 9.83123i | −0.483116 | + | 0.448266i | ||||
\(482\) | −6.98063 | + | 8.75344i | −0.317959 | + | 0.398708i | ||||
\(483\) | 3.27373 | − | 3.58433i | 0.148960 | − | 0.163093i | ||||
\(484\) | 2.32425 | + | 2.91451i | 0.105648 | + | 0.132478i | ||||
\(485\) | 1.01247 | + | 0.152606i | 0.0459740 | + | 0.00692947i | ||||
\(486\) | 12.0365 | − | 8.20632i | 0.545985 | − | 0.372246i | ||||
\(487\) | 8.64709 | + | 22.0324i | 0.391837 | + | 0.998385i | 0.981624 | + | 0.190826i | \(0.0611165\pi\) |
−0.589787 | + | 0.807559i | \(0.700788\pi\) | |||||||
\(488\) | 0.603580 | − | 0.186180i | 0.0273228 | − | 0.00842796i | ||||
\(489\) | 20.1396 | 0.910745 | ||||||||
\(490\) | −0.355286 | + | 0.460171i | −0.0160502 | + | 0.0207884i | ||||
\(491\) | 15.4438 | 0.696970 | 0.348485 | − | 0.937314i | \(-0.386696\pi\) | ||||
0.348485 | + | 0.937314i | \(0.386696\pi\) | |||||||
\(492\) | 4.54306 | − | 1.40135i | 0.204817 | − | 0.0631777i | ||||
\(493\) | 2.83410 | + | 7.22117i | 0.127642 | + | 0.325225i | ||||
\(494\) | 4.23204 | − | 2.88536i | 0.190409 | − | 0.129818i | ||||
\(495\) | 0.514338 | + | 0.0775240i | 0.0231178 | + | 0.00348444i | ||||
\(496\) | 6.60903 | + | 8.28746i | 0.296754 | + | 0.372118i | ||||
\(497\) | 11.7415 | + | 0.787154i | 0.526678 | + | 0.0353087i | ||||
\(498\) | 10.4762 | − | 13.1367i | 0.469448 | − | 0.588669i | ||||
\(499\) | −3.31579 | + | 3.07661i | −0.148435 | + | 0.137728i | −0.750895 | − | 0.660421i | \(-0.770378\pi\) |
0.602460 | + | 0.798149i | \(0.294187\pi\) | |||||||
\(500\) | 0.820679 | − | 0.123697i | 0.0367019 | − | 0.00553192i | ||||
\(501\) | −0.821395 | − | 0.762143i | −0.0366972 | − | 0.0340500i | ||||
\(502\) | 6.46460 | + | 4.40749i | 0.288529 | + | 0.196716i | ||||
\(503\) | 1.74865 | − | 7.66134i | 0.0779684 | − | 0.341602i | −0.920865 | − | 0.389880i | \(-0.872516\pi\) |
0.998834 | + | 0.0482784i | \(0.0153735\pi\) | |||||||
\(504\) | 1.90391 | + | 3.87530i | 0.0848070 | + | 0.172620i | ||||
\(505\) | 0.260491 | + | 1.14129i | 0.0115917 | + | 0.0507865i | ||||
\(506\) | 2.19937 | − | 5.60391i | 0.0977741 | − | 0.249124i | ||||
\(507\) | −0.875695 | + | 11.6853i | −0.0388910 | + | 0.518964i | ||||
\(508\) | 1.21021 | − | 2.09614i | 0.0536942 | − | 0.0930011i | ||||
\(509\) | 12.9947 | + | 22.5074i | 0.575978 | + | 0.997624i | 0.995935 | + | 0.0900795i | \(0.0287121\pi\) |
−0.419956 | + | 0.907544i | \(0.637955\pi\) | |||||||
\(510\) | 0.125886 | − | 0.0606235i | 0.00557433 | − | 0.00268445i | ||||
\(511\) | 21.3473 | − | 1.76859i | 0.944349 | − | 0.0782377i | ||||
\(512\) | −0.900969 | − | 0.433884i | −0.0398176 | − | 0.0191751i | ||||
\(513\) | −1.20100 | − | 16.0263i | −0.0530256 | − | 0.707577i | ||||
\(514\) | 26.3383 | + | 8.12429i | 1.16173 | + | 0.358347i | ||||
\(515\) | 1.24454 | + | 0.383890i | 0.0548411 | + | 0.0169162i | ||||
\(516\) | −0.0914300 | − | 1.22005i | −0.00402498 | − | 0.0537096i | ||||
\(517\) | −29.5079 | − | 14.2103i | −1.29776 | − | 0.624967i | ||||
\(518\) | −22.0720 | + | 1.82863i | −0.969788 | + | 0.0803452i | ||||
\(519\) | −19.0846 | + | 9.19065i | −0.837720 | + | 0.403425i | ||||
\(520\) | −0.0717021 | − | 0.124192i | −0.00314434 | − | 0.00544616i | ||||
\(521\) | −3.53052 | + | 6.11504i | −0.154675 | + | 0.267905i | −0.932941 | − | 0.360030i | \(-0.882766\pi\) |
0.778266 | + | 0.627935i | \(0.216100\pi\) | |||||||
\(522\) | 0.657739 | − | 8.77691i | 0.0287884 | − | 0.384155i | ||||
\(523\) | −6.63798 | + | 16.9133i | −0.290258 | + | 0.739566i | 0.709146 | + | 0.705062i | \(0.249081\pi\) |
−0.999405 | + | 0.0345049i | \(0.989015\pi\) | |||||||
\(524\) | −0.0975102 | − | 0.427220i | −0.00425975 | − | 0.0186632i | ||||
\(525\) | 6.81336 | + | 13.8682i | 0.297359 | + | 0.605257i | ||||
\(526\) | −1.12437 | + | 4.92620i | −0.0490250 | + | 0.214793i | ||||
\(527\) | −12.5974 | − | 8.58875i | −0.548750 | − | 0.374132i | ||||
\(528\) | −3.29044 | − | 3.05309i | −0.143198 | − | 0.132869i | ||||
\(529\) | 20.3099 | − | 3.06122i | 0.883038 | − | 0.133097i | ||||
\(530\) | −0.209989 | + | 0.194841i | −0.00912134 | + | 0.00846337i | ||||
\(531\) | 3.55567 | − | 4.45867i | 0.154303 | − | 0.193490i | ||||
\(532\) | 7.83085 | + | 0.524983i | 0.339510 | + | 0.0227609i | ||||
\(533\) | 4.37597 | + | 5.48729i | 0.189544 | + | 0.237681i | ||||
\(534\) | −17.9448 | − | 2.70474i | −0.776546 | − | 0.117046i | ||||
\(535\) | −0.794238 | + | 0.541502i | −0.0343379 | + | 0.0234112i | ||||
\(536\) | 3.89180 | + | 9.91614i | 0.168100 | + | 0.428312i | ||||
\(537\) | 2.58027 | − | 0.795909i | 0.111347 | − | 0.0343460i | ||||
\(538\) | 3.54942 | 0.153026 | ||||||||
\(539\) | −26.8605 | + | 0.422260i | −1.15696 | + | 0.0181880i | ||||
\(540\) | −0.449951 | −0.0193628 | ||||||||
\(541\) | −25.9129 | + | 7.99306i | −1.11408 | + | 0.343648i | −0.796534 | − | 0.604594i | \(-0.793335\pi\) |
−0.317547 | + | 0.948242i | \(0.602859\pi\) | |||||||
\(542\) | −5.46285 | − | 13.9191i | −0.234649 | − | 0.597877i | ||||
\(543\) | 22.5780 | − | 15.3934i | 0.968915 | − | 0.660595i | ||||
\(544\) | 1.42229 | + | 0.214376i | 0.0609802 | + | 0.00919128i | ||||
\(545\) | 0.216512 | + | 0.271497i | 0.00927434 | + | 0.0116296i | ||||
\(546\) | 3.60348 | − | 3.94537i | 0.154215 | − | 0.168846i | ||||
\(547\) | −8.54320 | + | 10.7128i | −0.365281 | + | 0.458048i | −0.930175 | − | 0.367115i | \(-0.880345\pi\) |
0.564895 | + | 0.825163i | \(0.308917\pi\) | |||||||
\(548\) | 12.3235 | − | 11.4345i | 0.526433 | − | 0.488458i | ||||
\(549\) | 1.01930 | − | 0.153634i | 0.0435025 | − | 0.00655694i | ||||
\(550\) | 14.0467 | + | 13.0334i | 0.598953 | + | 0.555747i | ||||
\(551\) | −13.2187 | − | 9.01238i | −0.563137 | − | 0.383940i | ||||
\(552\) | −0.408275 | + | 1.78877i | −0.0173774 | + | 0.0761352i | ||||
\(553\) | −25.6449 | − | 20.1234i | −1.09053 | − | 0.855734i | ||||
\(554\) | 3.68259 | + | 16.1345i | 0.156458 | + | 0.685489i | ||||
\(555\) | 0.297083 | − | 0.756956i | 0.0126105 | − | 0.0321310i | ||||
\(556\) | 1.50033 | − | 20.0204i | 0.0636280 | − | 0.849056i | ||||
\(557\) | −4.99610 | + | 8.65349i | −0.211691 | + | 0.366660i | −0.952244 | − | 0.305338i | \(-0.901230\pi\) |
0.740553 | + | 0.671998i | \(0.234564\pi\) | |||||||
\(558\) | 8.64939 | + | 14.9812i | 0.366158 | + | 0.634204i | ||||
\(559\) | 1.62728 | − | 0.783658i | 0.0688267 | − | 0.0331452i | ||||
\(560\) | 0.0310411 | − | 0.217532i | 0.00131173 | − | 0.00919239i | ||||
\(561\) | 5.81695 | + | 2.80130i | 0.245592 | + | 0.118271i | ||||
\(562\) | 0.0251529 | + | 0.335643i | 0.00106101 | + | 0.0141582i | ||||
\(563\) | 3.38307 | + | 1.04354i | 0.142579 | + | 0.0439799i | 0.365223 | − | 0.930920i | \(-0.380993\pi\) |
−0.222644 | + | 0.974900i | \(0.571469\pi\) | |||||||
\(564\) | 9.53838 | + | 2.94220i | 0.401638 | + | 0.123889i | ||||
\(565\) | −0.102960 | − | 1.37391i | −0.00433156 | − | 0.0578007i | ||||
\(566\) | 11.3318 | + | 5.45711i | 0.476311 | + | 0.229379i | ||||
\(567\) | −1.15227 | − | 3.63391i | −0.0483907 | − | 0.152610i | ||||
\(568\) | −4.00735 | + | 1.92984i | −0.168145 | + | 0.0809742i | ||||
\(569\) | −22.4163 | − | 38.8262i | −0.939741 | − | 1.62768i | −0.765954 | − | 0.642896i | \(-0.777733\pi\) |
−0.173787 | − | 0.984783i | \(-0.555600\pi\) | |||||||
\(570\) | −0.144081 | + | 0.249555i | −0.00603487 | + | 0.0104527i | ||||
\(571\) | −2.27445 | + | 30.3505i | −0.0951829 | + | 1.27013i | 0.721245 | + | 0.692680i | \(0.243570\pi\) |
−0.816428 | + | 0.577448i | \(0.804049\pi\) | |||||||
\(572\) | 2.42091 | − | 6.16837i | 0.101223 | − | 0.257913i | ||||
\(573\) | −6.07254 | − | 26.6055i | −0.253684 | − | 1.11146i | ||||
\(574\) | 0.0845238 | + | 10.7540i | 0.00352796 | + | 0.448863i | ||||
\(575\) | 1.74290 | − | 7.63615i | 0.0726840 | − | 0.318450i | ||||
\(576\) | −1.34838 | − | 0.919311i | −0.0561825 | − | 0.0383046i | ||||
\(577\) | −23.4203 | − | 21.7308i | −0.974999 | − | 0.904666i | 0.0204668 | − | 0.999791i | \(-0.493485\pi\) |
−0.995465 | + | 0.0951240i | \(0.969675\pi\) | |||||||
\(578\) | 14.7644 | − | 2.22537i | 0.614117 | − | 0.0925632i | ||||
\(579\) | −8.56827 | + | 7.95019i | −0.356085 | + | 0.330399i | ||||
\(580\) | −0.279274 | + | 0.350199i | −0.0115962 | + | 0.0145412i | ||||
\(581\) | 21.6566 | + | 31.2341i | 0.898468 | + | 1.29581i | ||||
\(582\) | −8.99064 | − | 11.2739i | −0.372674 | − | 0.467319i | ||||
\(583\) | −13.0889 | − | 1.97283i | −0.542085 | − | 0.0817062i | ||||
\(584\) | −6.68937 | + | 4.56073i | −0.276808 | + | 0.188725i | ||||
\(585\) | −0.0855002 | − | 0.217851i | −0.00353500 | − | 0.00900703i | ||||
\(586\) | −25.6317 | + | 7.90633i | −1.05884 | + | 0.326607i | ||||
\(587\) | −20.6997 | −0.854367 | −0.427183 | − | 0.904165i | \(-0.640494\pi\) | ||||
−0.427183 | + | 0.904165i | \(0.640494\pi\) | |||||||
\(588\) | 8.07583 | − | 1.34738i | 0.333041 | − | 0.0555652i | ||||
\(589\) | 31.4443 | 1.29564 | ||||||||
\(590\) | −0.277332 | + | 0.0855456i | −0.0114176 | + | 0.00352186i | ||||
\(591\) | −2.41300 | − | 6.14824i | −0.0992578 | − | 0.252905i | ||||
\(592\) | 6.91645 | − | 4.71556i | 0.284265 | − | 0.193808i | ||||
\(593\) | −38.8954 | − | 5.86253i | −1.59724 | − | 0.240745i | −0.710734 | − | 0.703461i | \(-0.751637\pi\) |
−0.886507 | + | 0.462715i | \(0.846875\pi\) | |||||||
\(594\) | −12.9632 | − | 16.2554i | −0.531888 | − | 0.666966i | ||||
\(595\) | 0.0495608 | + | 0.312147i | 0.00203179 | + | 0.0127968i | ||||
\(596\) | −12.1903 | + | 15.2862i | −0.499335 | + | 0.626146i | ||||
\(597\) | −14.4293 | + | 13.3884i | −0.590552 | + | 0.547952i | ||||
\(598\) | −2.67833 | + | 0.403694i | −0.109525 | + | 0.0165083i | ||||
\(599\) | −28.1188 | − | 26.0905i | −1.14890 | − | 1.06603i | −0.996982 | − | 0.0776352i | \(-0.975263\pi\) |
−0.151923 | − | 0.988392i | \(-0.548546\pi\) | |||||||
\(600\) | −4.82533 | − | 3.28985i | −0.196993 | − | 0.134308i | ||||
\(601\) | 3.75375 | − | 16.4463i | 0.153119 | − | 0.670857i | −0.838849 | − | 0.544364i | \(-0.816771\pi\) |
0.991968 | − | 0.126493i | \(-0.0403720\pi\) | |||||||
\(602\) | 2.70289 | + | 0.594607i | 0.110162 | + | 0.0242344i | ||||
\(603\) | 3.86839 | + | 16.9485i | 0.157533 | + | 0.690197i | ||||
\(604\) | 0.455751 | − | 1.16123i | 0.0185442 | − | 0.0472499i | ||||
\(605\) | 0.0231366 | − | 0.308736i | 0.000940635 | − | 0.0125519i | ||||
\(606\) | 8.24312 | − | 14.2775i | 0.334854 | − | 0.579984i | ||||
\(607\) | −9.42596 | − | 16.3262i | −0.382588 | − | 0.662662i | 0.608843 | − | 0.793290i | \(-0.291634\pi\) |
−0.991431 | + | 0.130629i | \(0.958300\pi\) | |||||||
\(608\) | −2.67266 | + | 1.28708i | −0.108391 | + | 0.0521982i | ||||
\(609\) | −15.5835 | − | 5.97517i | −0.631476 | − | 0.242126i | ||||
\(610\) | −0.0472641 | − | 0.0227612i | −0.00191367 | − | 0.000921574i | ||||
\(611\) | 1.10120 | + | 14.6945i | 0.0445498 | + | 0.594476i | ||||
\(612\) | 2.24304 | + | 0.691886i | 0.0906695 | + | 0.0279678i | ||||
\(613\) | −27.9608 | − | 8.62476i | −1.12933 | − | 0.348351i | −0.326874 | − | 0.945068i | \(-0.605995\pi\) |
−0.802452 | + | 0.596717i | \(0.796472\pi\) | |||||||
\(614\) | 1.39112 | + | 18.5632i | 0.0561411 | + | 0.749151i | ||||
\(615\) | −0.355750 | − | 0.171320i | −0.0143452 | − | 0.00690830i | ||||
\(616\) | 8.75306 | − | 5.14573i | 0.352671 | − | 0.207327i | ||||
\(617\) | −15.8721 | + | 7.64361i | −0.638988 | + | 0.307720i | −0.725181 | − | 0.688558i | \(-0.758244\pi\) |
0.0861933 | + | 0.996278i | \(0.472530\pi\) | |||||||
\(618\) | −9.17099 | − | 15.8846i | −0.368911 | − | 0.638973i | ||||
\(619\) | 4.98078 | − | 8.62696i | 0.200194 | − | 0.346747i | −0.748397 | − | 0.663251i | \(-0.769176\pi\) |
0.948591 | + | 0.316505i | \(0.102509\pi\) | |||||||
\(620\) | 0.0657892 | − | 0.877896i | 0.00264216 | − | 0.0352572i | ||||
\(621\) | −3.10488 | + | 7.91110i | −0.124595 | + | 0.317462i | ||||
\(622\) | 1.41490 | + | 6.19906i | 0.0567322 | + | 0.248560i | ||||
\(623\) | 17.5197 | − | 37.1237i | 0.701914 | − | 1.48733i | ||||
\(624\) | −0.449400 | + | 1.96895i | −0.0179904 | + | 0.0788210i | ||||
\(625\) | 20.5705 | + | 14.0247i | 0.822821 | + | 0.560990i | ||||
\(626\) | −10.7715 | − | 9.99449i | −0.430516 | − | 0.399460i | ||||
\(627\) | −13.1667 | + | 1.98455i | −0.525825 | + | 0.0792554i | ||||
\(628\) | 6.81992 | − | 6.32796i | 0.272144 | − | 0.252513i | ||||
\(629\) | −7.50712 | + | 9.41363i | −0.299328 | + | 0.375346i | ||||
\(630\) | 0.103002 | − | 0.343486i | 0.00410369 | − | 0.0136848i | ||||
\(631\) | 10.9291 | + | 13.7046i | 0.435080 | + | 0.545573i | 0.950239 | − | 0.311521i | \(-0.100839\pi\) |
−0.515159 | + | 0.857095i | \(0.672267\pi\) | |||||||
\(632\) | 12.1832 | + | 1.83632i | 0.484620 | + | 0.0730447i | ||||
\(633\) | −4.75983 | + | 3.24520i | −0.189186 | + | 0.128985i | ||||
\(634\) | 7.37710 | + | 18.7966i | 0.292982 | + | 0.746507i | ||||
\(635\) | −0.192090 | + | 0.0592518i | −0.00762284 | + | 0.00235134i | ||||
\(636\) | 4.03424 | 0.159968 | ||||||||
\(637\) | 6.20715 | + | 10.3711i | 0.245936 | + | 0.410919i | ||||
\(638\) | −20.6976 | −0.819426 | ||||||||
\(639\) | −6.93615 | + | 2.13952i | −0.274390 | + | 0.0846381i | ||||
\(640\) | 0.0303424 | + | 0.0773110i | 0.00119939 | + | 0.00305599i | ||||
\(641\) | −4.15376 | + | 2.83199i | −0.164064 | + | 0.111857i | −0.642569 | − | 0.766228i | \(-0.722131\pi\) |
0.478505 | + | 0.878085i | \(0.341179\pi\) | |||||||
\(642\) | 13.3865 | + | 2.01769i | 0.528323 | + | 0.0796319i | ||||
\(643\) | −11.5953 | − | 14.5401i | −0.457276 | − | 0.573405i | 0.498729 | − | 0.866758i | \(-0.333800\pi\) |
−0.956004 | + | 0.293353i | \(0.905229\pi\) | |||||||
\(644\) | −3.61047 | − | 2.04684i | −0.142273 | − | 0.0806569i | ||||
\(645\) | −0.0633539 | + | 0.0794432i | −0.00249456 | + | 0.00312807i | ||||
\(646\) | 3.12777 | − | 2.90214i | 0.123060 | − | 0.114183i | ||||
\(647\) | 16.6892 | − | 2.51549i | 0.656118 | − | 0.0988939i | 0.187458 | − | 0.982273i | \(-0.439975\pi\) |
0.468660 | + | 0.883379i | \(0.344737\pi\) | |||||||
\(648\) | 1.05624 | + | 0.980050i | 0.0414932 | + | 0.0385000i | ||||
\(649\) | −11.0805 | − | 7.55457i | −0.434948 | − | 0.296543i | ||||
\(650\) | 1.91846 | − | 8.40531i | 0.0752481 | − | 0.329683i | ||||
\(651\) | 31.9218 | − | 7.55039i | 1.25111 | − | 0.295923i | ||||
\(652\) | −3.83152 | − | 16.7870i | −0.150054 | − | 0.657429i | ||||
\(653\) | −18.0688 | + | 46.0385i | −0.707085 | + | 1.80162i | −0.118886 | + | 0.992908i | \(0.537932\pi\) |
−0.588199 | + | 0.808716i | \(0.700163\pi\) | |||||||
\(654\) | 0.365466 | − | 4.87681i | 0.0142909 | − | 0.190698i | ||||
\(655\) | −0.0181970 | + | 0.0315182i | −0.000711016 | + | 0.00123152i | ||||
\(656\) | −2.03238 | − | 3.52018i | −0.0793509 | − | 0.137440i | ||||
\(657\) | −11.9041 | + | 5.73271i | −0.464423 | + | 0.223654i | ||||
\(658\) | −12.5723 | + | 18.7552i | −0.490120 | + | 0.731155i | ||||
\(659\) | 33.1760 | + | 15.9767i | 1.29235 | + | 0.622365i | 0.948535 | − | 0.316671i | \(-0.102565\pi\) |
0.343818 | + | 0.939036i | \(0.388280\pi\) | |||||||
\(660\) | 0.0278590 | + | 0.371753i | 0.00108441 | + | 0.0144705i | ||||
\(661\) | 25.5354 | + | 7.87663i | 0.993212 | + | 0.306365i | 0.748431 | − | 0.663213i | \(-0.230808\pi\) |
0.244781 | + | 0.969578i | \(0.421284\pi\) | |||||||
\(662\) | 6.26620 | + | 1.93287i | 0.243543 | + | 0.0751230i | ||||
\(663\) | −0.217082 | − | 2.89675i | −0.00843076 | − | 0.112501i | ||||
\(664\) | −12.9429 | − | 6.23297i | −0.502282 | − | 0.241886i | ||||
\(665\) | −0.447098 | − | 0.474325i | −0.0173377 | − | 0.0183935i | ||||
\(666\) | 12.3082 | − | 5.92732i | 0.476933 | − | 0.229679i | ||||
\(667\) | 4.23012 | + | 7.32678i | 0.163791 | + | 0.283694i | ||||
\(668\) | −0.479001 | + | 0.829654i | −0.0185331 | + | 0.0321003i | ||||
\(669\) | −1.54551 | + | 20.6234i | −0.0597529 | + | 0.797346i | ||||
\(670\) | 0.323222 | − | 0.823557i | 0.0124872 | − | 0.0318168i | ||||
\(671\) | −0.539400 | − | 2.36327i | −0.0208233 | − | 0.0912328i | ||||
\(672\) | −2.40419 | + | 1.94839i | −0.0927437 | + | 0.0751607i | ||||
\(673\) | −8.43671 | + | 36.9636i | −0.325211 | + | 1.42484i | 0.502932 | + | 0.864326i | \(0.332255\pi\) |
−0.828143 | + | 0.560517i | \(0.810602\pi\) | |||||||
\(674\) | −5.58564 | − | 3.80822i | −0.215151 | − | 0.146687i | ||||
\(675\) | −19.8299 | − | 18.3994i | −0.763252 | − | 0.708195i | ||||
\(676\) | 9.90669 | − | 1.49319i | 0.381027 | − | 0.0574305i | ||||
\(677\) | 4.25489 | − | 3.94796i | 0.163529 | − | 0.151733i | −0.594164 | − | 0.804344i | \(-0.702517\pi\) |
0.757693 | + | 0.652611i | \(0.226327\pi\) | |||||||
\(678\) | −12.0977 | + | 15.1700i | −0.464609 | + | 0.582601i | ||||
\(679\) | 30.2688 | − | 12.1550i | 1.16161 | − | 0.466467i | ||||
\(680\) | −0.0744811 | − | 0.0933964i | −0.00285622 | − | 0.00358159i | ||||
\(681\) | 25.2956 | + | 3.81270i | 0.969331 | + | 0.146103i | ||||
\(682\) | 33.6111 | − | 22.9157i | 1.28704 | − | 0.877487i | ||||
\(683\) | 5.56942 | + | 14.1906i | 0.213108 | + | 0.542990i | 0.996956 | − | 0.0779622i | \(-0.0248414\pi\) |
−0.783848 | + | 0.620952i | \(0.786746\pi\) | |||||||
\(684\) | −4.62599 | + | 1.42693i | −0.176879 | + | 0.0545600i | ||||
\(685\) | −1.39620 | −0.0533462 | ||||||||
\(686\) | −2.32777 | + | 18.3734i | −0.0888745 | + | 0.701499i | ||||
\(687\) | −9.12362 | −0.348088 | ||||||||
\(688\) | −0.999553 | + | 0.308321i | −0.0381076 | + | 0.0117546i | ||||
\(689\) | 2.17581 | + | 5.54387i | 0.0828917 | + | 0.211205i | ||||
\(690\) | 0.125904 | − | 0.0858397i | 0.00479307 | − | 0.00326786i | ||||
\(691\) | 17.1304 | + | 2.58199i | 0.651669 | + | 0.0982234i | 0.466553 | − | 0.884493i | \(-0.345496\pi\) |
0.185116 | + | 0.982717i | \(0.440734\pi\) | |||||||
\(692\) | 11.2915 | + | 14.1591i | 0.429238 | + | 0.538248i | ||||
\(693\) | 15.3766 | − | 6.17478i | 0.584109 | − | 0.234560i | ||||
\(694\) | −11.6748 | + | 14.6398i | −0.443170 | + | 0.555717i | ||||
\(695\) | −1.22229 | + | 1.13412i | −0.0463642 | + | 0.0430197i | ||||
\(696\) | 6.23769 | − | 0.940180i | 0.236439 | − | 0.0356374i | ||||
\(697\) | 4.28583 | + | 3.97667i | 0.162337 | + | 0.150627i | ||||
\(698\) | 0.438463 | + | 0.298939i | 0.0165961 | + | 0.0113150i | ||||
\(699\) | 4.22023 | − | 18.4900i | 0.159624 | − | 0.699357i | ||||
\(700\) | 10.2633 | − | 8.31754i | 0.387918 | − | 0.314373i | ||||
\(701\) | −1.59733 | − | 6.99837i | −0.0603304 | − | 0.264325i | 0.935763 | − | 0.352629i | \(-0.114712\pi\) |
−0.996094 | + | 0.0883044i | \(0.971855\pi\) | |||||||
\(702\) | −3.41762 | + | 8.70796i | −0.128990 | + | 0.328661i | ||||
\(703\) | 1.85570 | − | 24.7626i | 0.0699889 | − | 0.933937i | ||||
\(704\) | −1.91884 | + | 3.32353i | −0.0723190 | + | 0.125260i | ||||
\(705\) | −0.414507 | − | 0.717947i | −0.0156112 | − | 0.0270395i | ||||
\(706\) | 0.845228 | − | 0.407040i | 0.0318106 | − | 0.0153192i | ||||
\(707\) | 25.5793 | + | 27.1370i | 0.962010 | + | 1.02059i | ||||
\(708\) | 3.68253 | + | 1.77341i | 0.138398 | + | 0.0666489i | ||||
\(709\) | −2.06236 | − | 27.5202i | −0.0774534 | − | 1.03354i | −0.891582 | − | 0.452859i | \(-0.850404\pi\) |
0.814129 | − | 0.580685i | \(-0.197215\pi\) | |||||||
\(710\) | 0.352990 | + | 0.108883i | 0.0132475 | + | 0.00408630i | ||||
\(711\) | 19.2136 | + | 5.92661i | 0.720566 | + | 0.222265i | ||||
\(712\) | 1.15947 | + | 15.4721i | 0.0434531 | + | 0.579841i | ||||
\(713\) | −14.9813 | − | 7.21462i | −0.561055 | − | 0.270190i | ||||
\(714\) | 2.47840 | − | 3.69725i | 0.0927519 | − | 0.138366i | ||||
\(715\) | −0.495839 | + | 0.238783i | −0.0185433 | + | 0.00892999i | ||||
\(716\) | −1.15431 | − | 1.99932i | −0.0431384 | − | 0.0747180i | ||||
\(717\) | 8.90763 | − | 15.4285i | 0.332662 | − | 0.576187i | ||||
\(718\) | 1.87360 | − | 25.0014i | 0.0699220 | − | 0.933044i | ||||
\(719\) | −2.67930 | + | 6.82675i | −0.0999211 | + | 0.254595i | −0.972089 | − | 0.234611i | \(-0.924618\pi\) |
0.872168 | + | 0.489206i | \(0.162713\pi\) | |||||||
\(720\) | 0.0301598 | + | 0.132139i | 0.00112399 | + | 0.00492452i | ||||
\(721\) | 40.3760 | − | 9.55004i | 1.50368 | − | 0.355662i | ||||
\(722\) | 2.26978 | − | 9.94457i | 0.0844726 | − | 0.370099i | ||||
\(723\) | −10.8199 | − | 7.37686i | −0.402395 | − | 0.274348i | ||||
\(724\) | −17.1263 | − | 15.8909i | −0.636494 | − | 0.590581i | ||||
\(725\) | −26.6283 | + | 4.01357i | −0.988950 | + | 0.149060i | ||||
\(726\) | −3.19623 | + | 2.96567i | −0.118623 | + | 0.110066i | ||||
\(727\) | 6.05176 | − | 7.58866i | 0.224447 | − | 0.281448i | −0.656839 | − | 0.754031i | \(-0.728107\pi\) |
0.881286 | + | 0.472583i | \(0.156678\pi\) | |||||||
\(728\) | −3.97414 | − | 2.25301i | −0.147292 | − | 0.0835022i | ||||
\(729\) | 13.3188 | + | 16.7012i | 0.493288 | + | 0.618564i | ||||
\(730\) | 0.664894 | + | 0.100217i | 0.0246088 | + | 0.00370918i | ||||
\(731\) | 1.24312 | − | 0.847546i | 0.0459785 | − | 0.0313476i | ||||
\(732\) | 0.269911 | + | 0.687722i | 0.00997619 | + | 0.0254189i | ||||
\(733\) | −17.2290 | + | 5.31444i | −0.636367 | + | 0.196293i | −0.596118 | − | 0.802896i | \(-0.703291\pi\) |
−0.0402485 | + | 0.999190i | \(0.512815\pi\) | |||||||
\(734\) | −10.3484 | −0.381968 | ||||||||
\(735\) | −0.567782 | − | 0.374171i | −0.0209430 | − | 0.0138015i | ||||
\(736\) | 1.56867 | 0.0578219 | ||||||||
\(737\) | 39.0647 | − | 12.0499i | 1.43897 | − | 0.443863i | ||||
\(738\) | −2.42348 | − | 6.17493i | −0.0892095 | − | 0.227302i | ||||
\(739\) | 36.9062 | − | 25.1622i | 1.35761 | − | 0.925606i | 0.357649 | − | 0.933856i | \(-0.383578\pi\) |
0.999966 | + | 0.00825002i | \(0.00262609\pi\) | |||||||
\(740\) | −0.687465 | − | 0.103619i | −0.0252717 | − | 0.00380910i | ||||
\(741\) | 3.73529 | + | 4.68391i | 0.137219 | + | 0.172068i | ||||
\(742\) | −2.62119 | + | 8.74102i | −0.0962269 | + | 0.320893i | ||||
\(743\) | 21.5315 | − | 26.9997i | 0.789916 | − | 0.990523i | −0.210002 | − | 0.977701i | \(-0.567347\pi\) |
0.999918 | − | 0.0128219i | \(-0.00408145\pi\) | |||||||
\(744\) | −9.08854 | + | 8.43293i | −0.333202 | + | 0.309166i | ||||
\(745\) | 1.60568 | − | 0.242017i | 0.0588275 | − | 0.00886682i | ||||
\(746\) | 3.13339 | + | 2.90736i | 0.114721 | + | 0.106446i | ||||
\(747\) | −19.3702 | − | 13.2064i | −0.708719 | − | 0.483196i | ||||
\(748\) | 1.22830 | − | 5.38155i | 0.0449112 | − | 0.196769i | ||||
\(749\) | −13.0694 | + | 27.6937i | −0.477546 | + | 1.01190i | ||||
\(750\) | 0.216010 | + | 0.946399i | 0.00788755 | + | 0.0345576i | ||||
\(751\) | −9.36311 | + | 23.8568i | −0.341665 | + | 0.870547i | 0.652006 | + | 0.758214i | \(0.273928\pi\) |
−0.993671 | + | 0.112334i | \(0.964167\pi\) | |||||||
\(752\) | 0.637758 | − | 8.51028i | 0.0232566 | − | 0.310338i | ||||
\(753\) | −4.57569 | + | 7.92533i | −0.166747 | + | 0.288815i | ||||
\(754\) | 4.65620 | + | 8.06478i | 0.169569 | + | 0.293702i | ||||
\(755\) | −0.0933447 | + | 0.0449524i | −0.00339716 | + | 0.00163599i | ||||
\(756\) | −12.3568 | + | 7.26428i | −0.449412 | + | 0.264199i | ||||
\(757\) | −24.4949 | − | 11.7961i | −0.890283 | − | 0.428738i | −0.0679131 | − | 0.997691i | \(-0.521634\pi\) |
−0.822370 | + | 0.568954i | \(0.807348\pi\) | |||||||
\(758\) | −0.564998 | − | 7.53937i | −0.0205216 | − | 0.273842i | ||||
\(759\) | 6.72845 | + | 2.07545i | 0.244227 | + | 0.0753341i | ||||
\(760\) | 0.235423 | + | 0.0726183i | 0.00853968 | + | 0.00263414i | ||||
\(761\) | −2.11552 | − | 28.2297i | −0.0766876 | − | 1.02332i | −0.894274 | − | 0.447519i | \(-0.852308\pi\) |
0.817587 | − | 0.575806i | \(-0.195311\pi\) | |||||||
\(762\) | 2.55064 | + | 1.22833i | 0.0924001 | + | 0.0444975i | ||||
\(763\) | 10.3292 | + | 3.96049i | 0.373941 | + | 0.143380i | ||||
\(764\) | −21.0212 | + | 10.1233i | −0.760522 | + | 0.366248i | ||||
\(765\) | −0.0974751 | − | 0.168832i | −0.00352422 | − | 0.00610413i | ||||
\(766\) | −5.13891 | + | 8.90086i | −0.185676 | + | 0.321601i | ||||
\(767\) | −0.450912 | + | 6.01700i | −0.0162815 | + | 0.217261i | ||||
\(768\) | 0.427316 | − | 1.08878i | 0.0154194 | − | 0.0392881i | ||||
\(769\) | 9.37984 | + | 41.0958i | 0.338246 | + | 1.48195i | 0.802716 | + | 0.596362i | \(0.203388\pi\) |
−0.464470 | + | 0.885589i | \(0.653755\pi\) | |||||||
\(770\) | −0.823581 | − | 0.181179i | −0.0296798 | − | 0.00652923i | ||||
\(771\) | −7.17374 | + | 31.4302i | −0.258356 | + | 1.13193i | ||||
\(772\) | 8.25683 | + | 5.62941i | 0.297170 | + | 0.202607i | ||||
\(773\) | 9.04712 | + | 8.39450i | 0.325402 | + | 0.301929i | 0.825909 | − | 0.563803i | \(-0.190662\pi\) |
−0.500507 | + | 0.865733i | \(0.666853\pi\) | |||||||
\(774\) | −1.68800 | + | 0.254424i | −0.0606737 | + | 0.00914509i | ||||
\(775\) | 38.7984 | − | 35.9996i | 1.39368 | − | 1.29315i | ||||
\(776\) | −7.68670 | + | 9.63882i | −0.275936 | + | 0.346013i | ||||
\(777\) | −4.06209 | − | 25.5842i | −0.145727 | − | 0.917828i | ||||
\(778\) | −19.7530 | − | 24.7694i | −0.708178 | − | 0.888027i | ||||
\(779\) | −11.9231 | − | 1.79712i | −0.427190 | − | 0.0643885i | ||||
\(780\) | 0.138586 | − | 0.0944861i | 0.00496216 | − | 0.00338314i | ||||
\(781\) | 6.23613 | + | 15.8894i | 0.223146 | + | 0.568567i | ||||
\(782\) | −2.15606 | + | 0.665057i | −0.0771006 | + | 0.0237824i | ||||
\(783\) | 29.2190 | 1.04420 | ||||||||
\(784\) | −2.65950 | − | 6.47511i | −0.0949820 | − | 0.231254i | ||||
\(785\) | −0.772672 | −0.0275779 | ||||||||
\(786\) | 0.489772 | − | 0.151075i | 0.0174696 | − | 0.00538865i | ||||
\(787\) | −4.88599 | − | 12.4493i | −0.174167 | − | 0.443770i | 0.816959 | − | 0.576696i | \(-0.195658\pi\) |
−0.991126 | + | 0.132926i | \(0.957563\pi\) | |||||||
\(788\) | −4.66567 | + | 3.18100i | −0.166208 | + | 0.113319i | ||||
\(789\) | −5.84403 | − | 0.880846i | −0.208053 | − | 0.0313590i | ||||
\(790\) | −0.637996 | − | 0.800022i | −0.0226989 | − | 0.0284635i | ||||
\(791\) | −25.0087 | − | 36.0687i | −0.889207 | − | 1.28245i | ||||
\(792\) | −3.90486 | + | 4.89654i | −0.138753 | + | 0.173991i | ||||
\(793\) | −0.799497 | + | 0.741824i | −0.0283910 | + | 0.0263430i | ||||
\(794\) | −1.40551 | + | 0.211846i | −0.0498796 | + | 0.00751813i | ||||
\(795\) | −0.245611 | − | 0.227894i | −0.00871092 | − | 0.00808255i | ||||
\(796\) | 13.9048 | + | 9.48015i | 0.492843 | + | 0.336015i | ||||
\(797\) | 6.62245 | − | 29.0149i | 0.234579 | − | 1.02776i | −0.711210 | − | 0.702979i | \(-0.751853\pi\) |
0.945790 | − | 0.324780i | \(-0.105290\pi\) | |||||||
\(798\) | 0.0721489 | + | 9.17952i | 0.00255404 | + | 0.324952i | ||||
\(799\) | 2.73147 | + | 11.9674i | 0.0966326 | + | 0.423375i | ||||
\(800\) | −1.82419 | + | 4.64795i | −0.0644947 | + | 0.164330i | ||||
\(801\) | −1.89220 | + | 25.2497i | −0.0668577 | + | 0.892154i | ||||
\(802\) | −4.42396 | + | 7.66253i | −0.156215 | + | 0.270573i | ||||
\(803\) | 15.5353 | + | 26.9079i | 0.548227 | + | 0.949558i | ||||
\(804\) | −11.2257 | + | 5.40600i | −0.395899 | + | 0.190655i | ||||
\(805\) | 0.104185 | + | 0.328570i | 0.00367205 | + | 0.0115806i | ||||
\(806\) | −16.4903 | − | 7.94132i | −0.580847 | − | 0.279721i | ||||
\(807\) | 0.310245 | + | 4.13993i | 0.0109211 | + | 0.145732i | ||||
\(808\) | −13.4690 | − | 4.15463i | −0.473837 | − | 0.146159i | ||||
\(809\) | 8.34895 | + | 2.57531i | 0.293533 | + | 0.0905430i | 0.438024 | − | 0.898963i | \(-0.355678\pi\) |
−0.144491 | + | 0.989506i | \(0.546155\pi\) | |||||||
\(810\) | −0.00894284 | − | 0.119334i | −0.000314219 | − | 0.00419297i | ||||
\(811\) | −33.1535 | − | 15.9659i | −1.16418 | − | 0.560638i | −0.250914 | − | 0.968009i | \(-0.580731\pi\) |
−0.913262 | + | 0.407372i | \(0.866445\pi\) | |||||||
\(812\) | −2.01575 | + | 14.1261i | −0.0707391 | + | 0.495729i | ||||
\(813\) | 15.7573 | − | 7.58831i | 0.552632 | − | 0.266134i | ||||
\(814\) | −16.0626 | − | 27.8213i | −0.562995 | − | 0.975136i | ||||
\(815\) | −0.715025 | + | 1.23846i | −0.0250462 | + | 0.0433813i | ||||
\(816\) | −0.125722 | + | 1.67765i | −0.00440116 | + | 0.0587294i | ||||
\(817\) | −1.13364 | + | 2.88846i | −0.0396610 | + | 0.101054i | ||||
\(818\) | 3.66643 | + | 16.0637i | 0.128194 | + | 0.561653i | ||||
\(819\) | −5.86517 | − | 4.60237i | −0.204945 | − | 0.160820i | ||||
\(820\) | −0.0751200 | + | 0.329122i | −0.00262330 | + | 0.0114934i | ||||
\(821\) | −2.88893 | − | 1.96964i | −0.100824 | − | 0.0687408i | 0.511858 | − | 0.859070i | \(-0.328957\pi\) |
−0.612683 | + | 0.790329i | \(0.709910\pi\) | |||||||
\(822\) | 14.4140 | + | 13.3742i | 0.502745 | + | 0.466479i | ||||
\(823\) | 16.5010 | − | 2.48712i | 0.575188 | − | 0.0866957i | 0.144995 | − | 0.989432i | \(-0.453683\pi\) |
0.430193 | + | 0.902737i | \(0.358445\pi\) | |||||||
\(824\) | −11.4956 | + | 10.6663i | −0.400467 | + | 0.371579i | ||||
\(825\) | −13.9740 | + | 17.5228i | −0.486511 | + | 0.610065i | ||||
\(826\) | −6.23513 | + | 6.82671i | −0.216948 | + | 0.237532i | ||||
\(827\) | −10.7751 | − | 13.5116i | −0.374687 | − | 0.469843i | 0.558359 | − | 0.829600i | \(-0.311431\pi\) |
−0.933046 | + | 0.359756i | \(0.882860\pi\) | |||||||
\(828\) | 2.53140 | + | 0.381547i | 0.0879722 | + | 0.0132597i | ||||
\(829\) | −5.60046 | + | 3.81833i | −0.194512 | + | 0.132616i | −0.656660 | − | 0.754187i | \(-0.728031\pi\) |
0.462148 | + | 0.886803i | \(0.347079\pi\) | |||||||
\(830\) | 0.435884 | + | 1.11061i | 0.0151298 | + | 0.0385500i | ||||
\(831\) | −18.4968 | + | 5.70552i | −0.641648 | + | 0.197922i | ||||
\(832\) | 1.72668 | 0.0598617 | ||||||||
\(833\) | 6.40056 | + | 7.77221i | 0.221766 | + | 0.269291i | ||||
\(834\) | 23.4823 | 0.813126 | ||||||||
\(835\) | 0.0760293 | − | 0.0234519i | 0.00263110 | − | 0.000811587i | ||||
\(836\) | 4.15912 | + | 10.5973i | 0.143846 | + | 0.366514i | ||||
\(837\) | −47.4492 | + | 32.3503i | −1.64008 | + | 1.11819i | ||||
\(838\) | 21.7810 | + | 3.28296i | 0.752412 | + | 0.113408i | ||||
\(839\) | −22.9023 | − | 28.7186i | −0.790677 | − | 0.991477i | −0.999907 | − | 0.0136110i | \(-0.995667\pi\) |
0.209231 | − | 0.977866i | \(-0.432904\pi\) | |||||||
\(840\) | 0.256435 | + | 0.0171915i | 0.00884784 | + | 0.000593163i | ||||
\(841\) | 0.0543621 | − | 0.0681679i | 0.00187455 | − | 0.00235062i | ||||
\(842\) | 4.70962 | − | 4.36989i | 0.162304 | − | 0.150596i | ||||
\(843\) | −0.389284 | + | 0.0586751i | −0.0134076 | + | 0.00202088i | ||||
\(844\) | 3.61052 | + | 3.35008i | 0.124279 | + | 0.115314i | ||||
\(845\) | −0.687485 | − | 0.468719i | −0.0236502 | − | 0.0161244i | ||||
\(846\) | 3.09912 | − | 13.5781i | 0.106550 | − | 0.466825i | ||||
\(847\) | −4.34903 | − | 8.85220i | −0.149434 | − | 0.304165i | ||||
\(848\) | −0.767506 | − | 3.36267i | −0.0263563 | − | 0.115474i | ||||
\(849\) | −5.37451 | + | 13.6940i | −0.184453 | + | 0.469978i | ||||
\(850\) | 0.536701 | − | 7.16177i | 0.0184087 | − | 0.245647i | ||||
\(851\) | −6.56568 | + | 11.3721i | −0.225068 | + | 0.389830i | ||||
\(852\) | −2.60117 | − | 4.50536i | −0.0891146 | − | 0.154351i | ||||
\(853\) | 5.80988 | − | 2.79789i | 0.198926 | − | 0.0957980i | −0.331768 | − | 0.943361i | \(-0.607645\pi\) |
0.530695 | + | 0.847563i | \(0.321931\pi\) | |||||||
\(854\) | −1.66546 | + | 0.137981i | −0.0569909 | + | 0.00472160i | ||||
\(855\) | 0.362244 | + | 0.174448i | 0.0123885 | + | 0.00596598i | ||||
\(856\) | −0.864947 | − | 11.5419i | −0.0295633 | − | 0.394495i | ||||
\(857\) | −28.9023 | − | 8.91518i | −0.987284 | − | 0.304537i | −0.241263 | − | 0.970460i | \(-0.577562\pi\) |
−0.746021 | + | 0.665923i | \(0.768038\pi\) | |||||||
\(858\) | 7.40618 | + | 2.28451i | 0.252843 | + | 0.0779917i | ||||
\(859\) | −0.614353 | − | 8.19797i | −0.0209614 | − | 0.279711i | −0.997829 | − | 0.0658641i | \(-0.979020\pi\) |
0.976867 | − | 0.213847i | \(-0.0685994\pi\) | |||||||
\(860\) | 0.0782713 | + | 0.0376935i | 0.00266903 | + | 0.00128534i | ||||
\(861\) | −12.5357 | + | 1.03856i | −0.427215 | + | 0.0353940i | ||||
\(862\) | 9.11200 | − | 4.38811i | 0.310356 | − | 0.149459i | ||||
\(863\) | 0.301118 | + | 0.521552i | 0.0102502 | + | 0.0177538i | 0.871105 | − | 0.491097i | \(-0.163404\pi\) |
−0.860855 | + | 0.508851i | \(0.830071\pi\) | |||||||
\(864\) | 2.70885 | − | 4.69186i | 0.0921569 | − | 0.159620i | ||||
\(865\) | 0.112401 | − | 1.49988i | 0.00382173 | − | 0.0509975i | ||||
\(866\) | −0.542909 | + | 1.38331i | −0.0184488 | + | 0.0470068i | ||||
\(867\) | 3.88611 | + | 17.0261i | 0.131979 | + | 0.578238i | ||||
\(868\) | −12.3665 | − | 25.1714i | −0.419748 | − | 0.854372i | ||||
\(869\) | 10.5215 | − | 46.0977i | 0.356918 | − | 1.56376i | ||||
\(870\) | −0.432871 | − | 0.295126i | −0.0146757 | − | 0.0100057i | ||||
\(871\) | −13.4833 | − | 12.5107i | −0.456866 | − | 0.423909i | ||||
\(872\) | −4.13450 | + | 0.623176i | −0.140012 | + | 0.0211034i | ||||
\(873\) | −14.7486 | + | 13.6847i | −0.499166 | + | 0.463159i | ||||
\(874\) | 2.90131 | − | 3.63813i | 0.0981384 | − | 0.123062i | ||||
\(875\) | −2.19092 | − | 0.146880i | −0.0740666 | − | 0.00496545i | ||||
\(876\) | −5.90418 | − | 7.40361i | −0.199484 | − | 0.250145i | ||||
\(877\) | 49.8970 | + | 7.52076i | 1.68490 | + | 0.253958i | 0.920489 | − | 0.390768i | \(-0.127791\pi\) |
0.764413 | + | 0.644726i | \(0.223029\pi\) | |||||||
\(878\) | −9.60931 | + | 6.55151i | −0.324298 | + | 0.221103i | ||||
\(879\) | −11.4621 | − | 29.2049i | −0.386606 | − | 0.985055i | ||||
\(880\) | 0.304567 | − | 0.0939466i | 0.0102670 | − | 0.00316694i | ||||
\(881\) | 32.6443 | 1.09981 | 0.549907 | − | 0.835226i | \(-0.314663\pi\) | ||||
0.549907 | + | 0.835226i | \(0.314663\pi\) | |||||||
\(882\) | −2.71675 | − | 11.0959i | −0.0914777 | − | 0.373619i | ||||
\(883\) | −17.4014 | −0.585604 | −0.292802 | − | 0.956173i | \(-0.594588\pi\) | ||||
−0.292802 | + | 0.956173i | \(0.594588\pi\) | |||||||
\(884\) | −2.37323 | + | 0.732046i | −0.0798205 | + | 0.0246214i | ||||
\(885\) | −0.124018 | − | 0.315993i | −0.00416883 | − | 0.0106220i | ||||
\(886\) | 11.4562 | − | 7.81072i | 0.384879 | − | 0.262406i | ||||
\(887\) | 27.3578 | + | 4.12352i | 0.918584 | + | 0.138454i | 0.591281 | − | 0.806465i | \(-0.298622\pi\) |
0.327303 | + | 0.944920i | \(0.393860\pi\) | |||||||
\(888\) | 6.10461 | + | 7.65494i | 0.204857 | + | 0.256883i | ||||
\(889\) | −4.31867 | + | 4.72841i | −0.144843 | + | 0.158586i | ||||
\(890\) | 0.803425 | − | 1.00746i | 0.0269309 | − | 0.0337702i | ||||
\(891\) | 4.05352 | − | 3.76112i | 0.135798 | − | 0.126002i | ||||
\(892\) | 17.4843 | − | 2.63533i | 0.585416 | − | 0.0882373i | ||||
\(893\) | −18.5579 | − | 17.2192i | −0.621016 | − | 0.576219i | ||||
\(894\) | −18.8948 | − | 12.8823i | −0.631937 | − | 0.430847i | ||||
\(895\) | −0.0426651 | + | 0.186928i | −0.00142614 | + | 0.00624831i | ||||
\(896\) | 2.08143 | + | 1.63329i | 0.0695358 | + | 0.0545644i | ||||
\(897\) | −0.704959 | − | 3.08863i | −0.0235379 | − | 0.103126i | ||||
\(898\) | −6.74701 | + | 17.1911i | −0.225150 | + | 0.573674i | ||||
\(899\) | −4.27223 | + | 57.0090i | −0.142487 | + | 1.90136i | ||||
\(900\) | −4.07425 | + | 7.05681i | −0.135808 | + | 0.235227i | ||||
\(901\) | 2.48055 | + | 4.29643i | 0.0826389 | + | 0.143135i | ||||
\(902\) | −14.0544 | + | 6.76825i | −0.467961 | + | 0.225358i | ||||
\(903\) | −0.457277 | + | 3.20453i | −0.0152172 | + | 0.106640i | ||||
\(904\) | 14.9462 | + | 7.19773i | 0.497105 | + | 0.239393i | ||||
\(905\) | 0.145003 | + | 1.93492i | 0.00482005 | + | 0.0643190i | ||||
\(906\) | 1.39426 | + | 0.430072i | 0.0463212 | + | 0.0142882i | ||||
\(907\) | 14.7456 | + | 4.54843i | 0.489621 | + | 0.151028i | 0.529728 | − | 0.848167i | \(-0.322294\pi\) |
−0.0401075 | + | 0.999195i | \(0.512770\pi\) | |||||||
\(908\) | −1.63444 | − | 21.8100i | −0.0542407 | − | 0.723792i | ||||
\(909\) | −20.7247 | − | 9.98048i | −0.687394 | − | 0.331032i | ||||
\(910\) | 0.114680 | + | 0.361665i | 0.00380159 | + | 0.0119891i | ||||
\(911\) | 4.82602 | − | 2.32409i | 0.159893 | − | 0.0770005i | −0.352226 | − | 0.935915i | \(-0.614575\pi\) |
0.512119 | + | 0.858915i | \(0.328861\pi\) | |||||||
\(912\) | −1.73482 | − | 3.00480i | −0.0574456 | − | 0.0994988i | ||||
\(913\) | −27.5652 | + | 47.7443i | −0.912274 | + | 1.58010i | ||||
\(914\) | 0.0895624 | − | 1.19513i | 0.00296246 | − | 0.0395313i | ||||
\(915\) | 0.0224167 | − | 0.0571167i | 0.000741072 | − | 0.00188822i | ||||
\(916\) | 1.73575 | + | 7.60481i | 0.0573508 | + | 0.251270i | ||||
\(917\) | 0.00911223 | + | 1.15935i | 0.000300912 | + | 0.0382851i | ||||
\(918\) | −1.73401 | + | 7.59720i | −0.0572309 | + | 0.250745i | ||||
\(919\) | 3.06629 | + | 2.09056i | 0.101148 | + | 0.0689613i | 0.612838 | − | 0.790209i | \(-0.290028\pi\) |
−0.511690 | + | 0.859170i | \(0.670980\pi\) | |||||||
\(920\) | −0.0955030 | − | 0.0886138i | −0.00314864 | − | 0.00292151i | ||||
\(921\) | −21.5299 | + | 3.24511i | −0.709435 | + | 0.106930i | ||||
\(922\) | 26.8957 | − | 24.9555i | 0.885761 | − | 0.821866i | ||||
\(923\) | 4.78837 | − | 6.00443i | 0.157611 | − | 0.197638i | ||||
\(924\) | 6.76688 | + | 9.75950i | 0.222614 | + | 0.321064i | ||||
\(925\) | −26.0602 | − | 32.6785i | −0.856854 | − | 1.07446i | ||||
\(926\) | 15.7711 | + | 2.37711i | 0.518270 | + | 0.0781166i | ||||
\(927\) | −21.1450 | + | 14.4164i | −0.694493 | + | 0.473497i | ||||
\(928\) | −1.97038 | − | 5.02044i | −0.0646808 | − | 0.164804i | ||||
\(929\) | 30.9114 | − | 9.53490i | 1.01417 | − | 0.312830i | 0.257255 | − | 0.966344i | \(-0.417182\pi\) |
0.756915 | + | 0.653514i | \(0.226706\pi\) | |||||||
\(930\) | 1.02970 | 0.0337652 | ||||||||
\(931\) | −19.9362 | − | 5.80794i | −0.653383 | − | 0.190347i | ||||
\(932\) | −16.2149 | −0.531136 | ||||||||
\(933\) | −7.10671 | + | 2.19213i | −0.232663 | + | 0.0717671i | ||||
\(934\) | −4.96545 | − | 12.6518i | −0.162474 | − | 0.413978i | ||||
\(935\) | −0.378784 | + | 0.258250i | −0.0123876 | + | 0.00844569i | ||||
\(936\) | 2.78638 | + | 0.419979i | 0.0910756 | + | 0.0137274i | ||||
\(937\) | 32.7352 | + | 41.0487i | 1.06941 | + | 1.34100i | 0.936812 | + | 0.349832i | \(0.113761\pi\) |
0.132601 | + | 0.991170i | \(0.457667\pi\) | |||||||
\(938\) | −4.41950 | − | 27.8352i | −0.144302 | − | 0.908852i | ||||
\(939\) | 10.7157 | − | 13.4371i | 0.349695 | − | 0.438503i | ||||
\(940\) | −0.519572 | + | 0.482092i | −0.0169466 | + | 0.0157241i | ||||
\(941\) | 41.4404 | − | 6.24613i | 1.35092 | − | 0.203618i | 0.566608 | − | 0.823988i | \(-0.308256\pi\) |
0.784309 | + | 0.620370i | \(0.213017\pi\) | |||||||
\(942\) | 7.97683 | + | 7.40141i | 0.259899 | + | 0.241151i | ||||
\(943\) | 5.26831 | + | 3.59187i | 0.171560 | + | 0.116967i | ||||
\(944\) | 0.777600 | − | 3.40689i | 0.0253087 | − | 0.110885i | ||||
\(945\) | 1.16266 | + | 0.255772i | 0.0378213 | + | 0.00832027i | ||||
\(946\) | 0.893268 | + | 3.91366i | 0.0290427 | + | 0.127244i | ||||
\(947\) | −16.3299 | + | 41.6079i | −0.530651 | + | 1.35208i | 0.374595 | + | 0.927188i | \(0.377782\pi\) |
−0.905246 | + | 0.424888i | \(0.860314\pi\) | |||||||
\(948\) | −1.07692 | + | 14.3705i | −0.0349768 | + | 0.466733i | ||||
\(949\) | 6.98973 | − | 12.1066i | 0.226896 | − | 0.392996i | ||||
\(950\) | 7.40584 | + | 12.8273i | 0.240277 | + | 0.416172i | ||||
\(951\) | −21.2789 | + | 10.2474i | −0.690014 | + | 0.332293i | ||||
\(952\) | −3.55329 | − | 1.36243i | −0.115163 | − | 0.0441566i | ||||
\(953\) | 1.03966 | + | 0.500672i | 0.0336778 | + | 0.0162184i | 0.450647 | − | 0.892702i | \(-0.351193\pi\) |
−0.416969 | + | 0.908921i | \(0.636908\pi\) | |||||||
\(954\) | −0.420643 | − | 5.61309i | −0.0136188 | − | 0.181731i | ||||
\(955\) | 1.85167 | + | 0.571164i | 0.0599186 | + | 0.0184824i | ||||
\(956\) | −14.5548 | − | 4.48955i | −0.470735 | − | 0.145202i | ||||
\(957\) | −1.80912 | − | 24.1410i | −0.0584804 | − | 0.780367i | ||||
\(958\) | 19.6839 | + | 9.47928i | 0.635959 | + | 0.306262i | ||||
\(959\) | −38.3433 | + | 22.5412i | −1.23817 | + | 0.727892i | ||||
\(960\) | −0.0875208 | + | 0.0421478i | −0.00282472 | + | 0.00136031i | ||||
\(961\) | −40.6807 | − | 70.4610i | −1.31228 | − | 2.27294i | ||||
\(962\) | −7.22701 | + | 12.5176i | −0.233008 | + | 0.403582i | ||||
\(963\) | 1.41155 | − | 18.8358i | 0.0454866 | − | 0.606977i | ||||
\(964\) | −4.09038 | + | 10.4221i | −0.131742 | + | 0.335674i | ||||
\(965\) | −0.184684 | − | 0.809153i | −0.00594519 | − | 0.0260476i | ||||
\(966\) | 2.07179 | − | 4.39004i | 0.0666586 | − | 0.141247i | ||||
\(967\) | 3.95071 | − | 17.3092i | 0.127046 | − | 0.556625i | −0.870836 | − | 0.491574i | \(-0.836422\pi\) |
0.997882 | − | 0.0650514i | \(-0.0207211\pi\) | |||||||
\(968\) | 3.08005 | + | 2.09994i | 0.0989966 | + | 0.0674948i | ||||
\(969\) | 3.65835 | + | 3.39445i | 0.117523 | + | 0.109046i | ||||
\(970\) | 1.01247 | − | 0.152606i | 0.0325085 | − | 0.00489987i | ||||
\(971\) | −16.3855 | + | 15.2035i | −0.525837 | + | 0.487905i | −0.897837 | − | 0.440327i | \(-0.854862\pi\) |
0.372001 | + | 0.928232i | \(0.378672\pi\) | |||||||
\(972\) | 9.08286 | − | 11.3896i | 0.291333 | − | 0.365320i | ||||
\(973\) | −15.2573 | + | 50.8793i | −0.489126 | + | 1.63111i | ||||
\(974\) | 14.7571 | + | 18.5048i | 0.472848 | + | 0.592932i | ||||
\(975\) | 9.97136 | + | 1.50294i | 0.319339 | + | 0.0481326i | ||||
\(976\) | 0.521887 | − | 0.355817i | 0.0167052 | − | 0.0113894i | ||||
\(977\) | −10.9643 | − | 27.9366i | −0.350780 | − | 0.893772i | −0.991980 | − | 0.126398i | \(-0.959658\pi\) |
0.641200 | − | 0.767374i | \(-0.278437\pi\) | |||||||
\(978\) | 19.2449 | − | 5.93626i | 0.615383 | − | 0.189821i | ||||
\(979\) | 59.5435 | 1.90302 | ||||||||
\(980\) | −0.203864 | + | 0.544449i | −0.00651219 | + | 0.0173918i | ||||
\(981\) | −6.82351 | −0.217858 | ||||||||
\(982\) | 14.7577 | − | 4.55215i | 0.470937 | − | 0.145265i | ||||
\(983\) | −1.56713 | − | 3.99298i | −0.0499836 | − | 0.127356i | 0.903701 | − | 0.428163i | \(-0.140839\pi\) |
−0.953685 | + | 0.300807i | \(0.902744\pi\) | |||||||
\(984\) | 3.92817 | − | 2.67818i | 0.125226 | − | 0.0853773i | ||||
\(985\) | 0.463748 | + | 0.0698987i | 0.0147762 | + | 0.00222716i | ||||
\(986\) | 4.83667 | + | 6.06499i | 0.154031 | + | 0.193149i | ||||
\(987\) | −22.9744 | − | 13.0246i | −0.731282 | − | 0.414577i | ||||
\(988\) | 3.19355 | − | 4.00459i | 0.101600 | − | 0.127403i | ||||
\(989\) | 1.20284 | − | 1.11607i | 0.0382481 | − | 0.0354891i | ||||
\(990\) | 0.514338 | − | 0.0775240i | 0.0163467 | − | 0.00246387i | ||||
\(991\) | −5.10151 | − | 4.73351i | −0.162055 | − | 0.150365i | 0.594977 | − | 0.803742i | \(-0.297161\pi\) |
−0.757032 | + | 0.653377i | \(0.773351\pi\) | |||||||
\(992\) | 8.75818 | + | 5.97123i | 0.278073 | + | 0.189587i | ||||
\(993\) | −1.70672 | + | 7.47762i | −0.0541611 | + | 0.237295i | ||||
\(994\) | 11.4519 | − | 2.70868i | 0.363231 | − | 0.0859141i | ||||
\(995\) | −0.311015 | − | 1.36265i | −0.00985984 | − | 0.0431988i | ||||
\(996\) | 6.13862 | − | 15.6410i | 0.194510 | − | 0.495603i | ||||
\(997\) | 1.64013 | − | 21.8861i | 0.0519435 | − | 0.693138i | −0.909071 | − | 0.416641i | \(-0.863207\pi\) |
0.961015 | − | 0.276497i | \(-0.0891737\pi\) | |||||||
\(998\) | −2.26164 | + | 3.91727i | −0.0715908 | + | 0.123999i | ||||
\(999\) | 22.6758 | + | 39.2757i | 0.717431 | + | 1.24263i |
(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 | 98.2.g.b.25.2 | ✓ | 24 | |
3.2 | odd | 2 | 882.2.z.b.613.1 | 24 | |||
4.3 | odd | 2 | 784.2.bg.b.417.1 | 24 | |||
7.2 | even | 3 | 686.2.g.f.177.1 | 24 | |||
7.3 | odd | 6 | 686.2.e.d.99.2 | 24 | |||
7.4 | even | 3 | 686.2.e.c.99.3 | 24 | |||
7.5 | odd | 6 | 686.2.g.d.177.2 | 24 | |||
7.6 | odd | 2 | 686.2.g.e.67.1 | 24 | |||
49.2 | even | 21 | inner | 98.2.g.b.51.2 | yes | 24 | |
49.10 | odd | 42 | 4802.2.a.l.1.6 | 12 | |||
49.11 | even | 21 | 686.2.e.c.589.3 | 24 | |||
49.13 | odd | 14 | 686.2.g.d.655.2 | 24 | |||
49.36 | even | 7 | 686.2.g.f.655.1 | 24 | |||
49.38 | odd | 42 | 686.2.e.d.589.2 | 24 | |||
49.39 | even | 21 | 4802.2.a.o.1.7 | 12 | |||
49.47 | odd | 42 | 686.2.g.e.471.1 | 24 | |||
147.2 | odd | 42 | 882.2.z.b.541.1 | 24 | |||
196.51 | odd | 42 | 784.2.bg.b.737.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.g.b.25.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
98.2.g.b.51.2 | yes | 24 | 49.2 | even | 21 | inner | |
686.2.e.c.99.3 | 24 | 7.4 | even | 3 | |||
686.2.e.c.589.3 | 24 | 49.11 | even | 21 | |||
686.2.e.d.99.2 | 24 | 7.3 | odd | 6 | |||
686.2.e.d.589.2 | 24 | 49.38 | odd | 42 | |||
686.2.g.d.177.2 | 24 | 7.5 | odd | 6 | |||
686.2.g.d.655.2 | 24 | 49.13 | odd | 14 | |||
686.2.g.e.67.1 | 24 | 7.6 | odd | 2 | |||
686.2.g.e.471.1 | 24 | 49.47 | odd | 42 | |||
686.2.g.f.177.1 | 24 | 7.2 | even | 3 | |||
686.2.g.f.655.1 | 24 | 49.36 | even | 7 | |||
784.2.bg.b.417.1 | 24 | 4.3 | odd | 2 | |||
784.2.bg.b.737.1 | 24 | 196.51 | odd | 42 | |||
882.2.z.b.541.1 | 24 | 147.2 | odd | 42 | |||
882.2.z.b.613.1 | 24 | 3.2 | odd | 2 | |||
4802.2.a.l.1.6 | 12 | 49.10 | odd | 42 | |||
4802.2.a.o.1.7 | 12 | 49.39 | even | 21 |