Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 61.16 | ||
Character | \(\chi\) | \(=\) | 483.61 |
Dual form | 483.2.bf.a.388.16 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{17}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.159206 | − | 0.125201i | −0.112576 | − | 0.0885305i | 0.560284 | − | 0.828300i | \(-0.310692\pi\) |
−0.672860 | + | 0.739770i | \(0.734934\pi\) | |||||||
\(3\) | 0.814576 | + | 0.580057i | 0.470296 | + | 0.334896i | ||||
\(4\) | −0.461847 | − | 1.90376i | −0.230923 | − | 0.951879i | ||||
\(5\) | −3.31997 | + | 0.639872i | −1.48474 | + | 0.286159i | −0.866240 | − | 0.499629i | \(-0.833470\pi\) |
−0.618496 | + | 0.785788i | \(0.712258\pi\) | |||||||
\(6\) | −0.0570617 | − | 0.194334i | −0.0232953 | − | 0.0793366i | ||||
\(7\) | 1.87991 | + | 1.86170i | 0.710541 | + | 0.703656i | ||||
\(8\) | −0.333099 | + | 0.729384i | −0.117768 | + | 0.257876i | ||||
\(9\) | 0.327068 | + | 0.945001i | 0.109023 | + | 0.315000i | ||||
\(10\) | 0.608672 | + | 0.313792i | 0.192479 | + | 0.0992298i | ||||
\(11\) | 3.22421 | + | 4.09991i | 0.972135 | + | 1.23617i | 0.971712 | + | 0.236171i | \(0.0758925\pi\) |
0.000423847 | 1.00000i | \(0.499865\pi\) | ||||||||
\(12\) | 0.728079 | − | 1.81865i | 0.210178 | − | 0.525000i | ||||
\(13\) | −1.15354 | − | 1.79495i | −0.319935 | − | 0.497829i | 0.643618 | − | 0.765347i | \(-0.277433\pi\) |
−0.963553 | + | 0.267518i | \(0.913796\pi\) | |||||||
\(14\) | −0.0662071 | − | 0.531761i | −0.0176946 | − | 0.142119i | ||||
\(15\) | −3.07553 | − | 1.40455i | −0.794098 | − | 0.362653i | ||||
\(16\) | −3.33807 | + | 1.72089i | −0.834517 | + | 0.430223i | ||||
\(17\) | 3.59238 | + | 3.42533i | 0.871281 | + | 0.830765i | 0.986700 | − | 0.162552i | \(-0.0519726\pi\) |
−0.115419 | + | 0.993317i | \(0.536821\pi\) | |||||||
\(18\) | 0.0662439 | − | 0.191399i | 0.0156138 | − | 0.0451132i | ||||
\(19\) | 2.34903 | − | 2.23980i | 0.538906 | − | 0.513845i | −0.371016 | − | 0.928627i | \(-0.620990\pi\) |
0.909921 | + | 0.414781i | \(0.136142\pi\) | |||||||
\(20\) | 2.75148 | + | 6.02490i | 0.615249 | + | 1.34721i | ||||
\(21\) | 0.451441 | + | 2.60695i | 0.0985126 | + | 0.568884i | ||||
\(22\) | − | 1.05641i | − | 0.225226i | ||||||
\(23\) | 0.195104 | + | 4.79186i | 0.0406819 | + | 0.999172i | ||||
\(24\) | −0.694419 | + | 0.400923i | −0.141748 | + | 0.0818380i | ||||
\(25\) | 5.97093 | − | 2.39040i | 1.19419 | − | 0.478080i | ||||
\(26\) | −0.0410783 | + | 0.430191i | −0.00805611 | + | 0.0843674i | ||||
\(27\) | −0.281733 | + | 0.959493i | −0.0542195 | + | 0.184655i | ||||
\(28\) | 2.67599 | − | 4.43872i | 0.505715 | − | 0.838839i | ||||
\(29\) | 5.28754 | − | 1.55256i | 0.981871 | − | 0.288303i | 0.248874 | − | 0.968536i | \(-0.419939\pi\) |
0.732996 | + | 0.680232i | \(0.238121\pi\) | |||||||
\(30\) | 0.313792 | + | 0.608672i | 0.0572903 | + | 0.111128i | ||||
\(31\) | 0.552360 | + | 5.78458i | 0.0992068 | + | 1.03894i | 0.898788 | + | 0.438383i | \(0.144449\pi\) |
−0.799582 | + | 0.600558i | \(0.794945\pi\) | |||||||
\(32\) | 2.32161 | + | 0.447453i | 0.410406 | + | 0.0790993i | ||||
\(33\) | 0.248179 | + | 5.20992i | 0.0432024 | + | 0.906930i | ||||
\(34\) | −0.143074 | − | 0.995103i | −0.0245370 | − | 0.170659i | ||||
\(35\) | −7.43251 | − | 4.97788i | −1.25632 | − | 0.841416i | ||||
\(36\) | 1.64800 | − | 1.05910i | 0.274666 | − | 0.176517i | ||||
\(37\) | 9.27830 | − | 3.21125i | 1.52534 | − | 0.527926i | 0.569547 | − | 0.821959i | \(-0.307119\pi\) |
0.955795 | + | 0.294032i | \(0.0949974\pi\) | |||||||
\(38\) | −0.654406 | + | 0.0624882i | −0.106159 | + | 0.0101369i | ||||
\(39\) | 0.101524 | − | 2.13124i | 0.0162568 | − | 0.341272i | ||||
\(40\) | 0.639165 | − | 2.63467i | 0.101061 | − | 0.416579i | ||||
\(41\) | −3.67902 | + | 3.18789i | −0.574566 | + | 0.497864i | −0.892985 | − | 0.450086i | \(-0.851393\pi\) |
0.318419 | + | 0.947950i | \(0.396848\pi\) | |||||||
\(42\) | 0.254521 | − | 0.471563i | 0.0392734 | − | 0.0727638i | ||||
\(43\) | −10.7881 | + | 4.92677i | −1.64517 | + | 0.751325i | −0.999920 | − | 0.0126442i | \(-0.995975\pi\) |
−0.645253 | + | 0.763969i | \(0.723248\pi\) | |||||||
\(44\) | 6.31615 | − | 8.03164i | 0.952196 | − | 1.21082i | ||||
\(45\) | −1.69054 | − | 2.92809i | −0.252010 | − | 0.436494i | ||||
\(46\) | 0.568884 | − | 0.787320i | 0.0838774 | − | 0.116084i | ||||
\(47\) | −9.15693 | − | 5.28676i | −1.33568 | − | 0.771153i | −0.349513 | − | 0.936932i | \(-0.613653\pi\) |
−0.986163 | + | 0.165779i | \(0.946986\pi\) | |||||||
\(48\) | −3.71733 | − | 0.534471i | −0.536550 | − | 0.0771442i | ||||
\(49\) | 0.0681535 | + | 6.99967i | 0.00973621 | + | 0.999953i | ||||
\(50\) | −1.24989 | − | 0.367000i | −0.176761 | − | 0.0519017i | ||||
\(51\) | 0.939382 | + | 4.87398i | 0.131540 | + | 0.682493i | ||||
\(52\) | −2.88438 | + | 3.02506i | −0.399992 | + | 0.419500i | ||||
\(53\) | 0.978821 | + | 0.0466270i | 0.134451 | + | 0.00640471i | 0.114700 | − | 0.993400i | \(-0.463409\pi\) |
0.0197517 | + | 0.999805i | \(0.493712\pi\) | |||||||
\(54\) | 0.164983 | − | 0.117484i | 0.0224513 | − | 0.0159875i | ||||
\(55\) | −13.3277 | − | 11.5485i | −1.79711 | − | 1.55720i | ||||
\(56\) | −1.98409 | + | 0.751050i | −0.265135 | + | 0.100363i | ||||
\(57\) | 3.21268 | − | 0.461913i | 0.425530 | − | 0.0611819i | ||||
\(58\) | −1.03619 | − | 0.414828i | −0.136058 | − | 0.0544696i | ||||
\(59\) | −2.02813 | + | 3.93401i | −0.264039 | + | 0.512165i | −0.983166 | − | 0.182714i | \(-0.941512\pi\) |
0.719127 | + | 0.694879i | \(0.244542\pi\) | |||||||
\(60\) | −1.25349 | + | 6.50375i | −0.161825 | + | 0.839630i | ||||
\(61\) | −4.91030 | − | 6.89554i | −0.628699 | − | 0.882884i | 0.370240 | − | 0.928936i | \(-0.379275\pi\) |
−0.998939 | + | 0.0460521i | \(0.985336\pi\) | |||||||
\(62\) | 0.636296 | − | 0.990095i | 0.0808096 | − | 0.125742i | ||||
\(63\) | −1.14445 | + | 2.38542i | −0.144187 | + | 0.300535i | ||||
\(64\) | 4.60513 | + | 5.31461i | 0.575642 | + | 0.664326i | ||||
\(65\) | 4.97826 | + | 5.22105i | 0.617478 | + | 0.647592i | ||||
\(66\) | 0.612775 | − | 0.860522i | 0.0754274 | − | 0.105923i | ||||
\(67\) | −0.244630 | − | 0.611056i | −0.0298863 | − | 0.0746524i | 0.912674 | − | 0.408688i | \(-0.134014\pi\) |
−0.942560 | + | 0.334036i | \(0.891589\pi\) | |||||||
\(68\) | 4.86187 | − | 8.42100i | 0.589588 | − | 1.02120i | ||||
\(69\) | −2.62063 | + | 4.01651i | −0.315486 | + | 0.483531i | ||||
\(70\) | 0.560064 | + | 1.72307i | 0.0669405 | + | 0.205946i | ||||
\(71\) | 1.59564 | − | 11.0979i | 0.189368 | − | 1.31708i | −0.644282 | − | 0.764788i | \(-0.722844\pi\) |
0.833650 | − | 0.552294i | \(-0.186247\pi\) | |||||||
\(72\) | −0.798215 | − | 0.0762203i | −0.0940705 | − | 0.00898264i | ||||
\(73\) | 7.21612 | − | 1.75061i | 0.844583 | − | 0.204894i | 0.209955 | − | 0.977711i | \(-0.432668\pi\) |
0.634629 | + | 0.772817i | \(0.281153\pi\) | |||||||
\(74\) | −1.87921 | − | 0.650402i | −0.218454 | − | 0.0756077i | ||||
\(75\) | 6.25034 | + | 1.51632i | 0.721727 | + | 0.175089i | ||||
\(76\) | −5.34893 | − | 3.43755i | −0.613564 | − | 0.394314i | ||||
\(77\) | −1.57157 | + | 13.7100i | −0.179097 | + | 1.56240i | ||||
\(78\) | −0.282997 | + | 0.326596i | −0.0320431 | + | 0.0369797i | ||||
\(79\) | 10.6683 | − | 0.508194i | 1.20028 | − | 0.0571763i | 0.562103 | − | 0.827067i | \(-0.309993\pi\) |
0.638175 | + | 0.769891i | \(0.279689\pi\) | |||||||
\(80\) | 9.98113 | − | 7.84925i | 1.11592 | − | 0.877573i | ||||
\(81\) | −0.786053 | + | 0.618159i | −0.0873392 | + | 0.0686843i | ||||
\(82\) | 0.984849 | − | 0.0469141i | 0.108758 | − | 0.00518080i | ||||
\(83\) | −7.36124 | + | 8.49533i | −0.808001 | + | 0.932483i | −0.998792 | − | 0.0491474i | \(-0.984350\pi\) |
0.190790 | + | 0.981631i | \(0.438895\pi\) | |||||||
\(84\) | 4.75451 | − | 2.06345i | 0.518759 | − | 0.225141i | ||||
\(85\) | −14.1184 | − | 9.07333i | −1.53135 | − | 0.984141i | ||||
\(86\) | 2.33437 | + | 0.566312i | 0.251722 | + | 0.0610670i | ||||
\(87\) | 5.20767 | + | 1.80239i | 0.558321 | + | 0.193237i | ||||
\(88\) | −4.06439 | + | 0.986011i | −0.433266 | + | 0.105109i | ||||
\(89\) | −8.61490 | − | 0.822623i | −0.913178 | − | 0.0871979i | −0.372121 | − | 0.928184i | \(-0.621369\pi\) |
−0.541057 | + | 0.840986i | \(0.681976\pi\) | |||||||
\(90\) | −0.0974568 | + | 0.677827i | −0.0102728 | + | 0.0714492i | ||||
\(91\) | 1.17309 | − | 5.52190i | 0.122973 | − | 0.578852i | ||||
\(92\) | 9.03243 | − | 2.58454i | 0.941696 | − | 0.269456i | ||||
\(93\) | −2.90544 | + | 5.03238i | −0.301280 | + | 0.521833i | ||||
\(94\) | 0.795931 | + | 1.98814i | 0.0820940 | + | 0.205061i | ||||
\(95\) | −6.36554 | + | 8.93915i | −0.653091 | + | 0.917137i | ||||
\(96\) | 1.63158 | + | 1.71115i | 0.166522 | + | 0.174643i | ||||
\(97\) | −2.77352 | − | 3.20081i | −0.281608 | − | 0.324993i | 0.597270 | − | 0.802041i | \(-0.296252\pi\) |
−0.878877 | + | 0.477048i | \(0.841707\pi\) | |||||||
\(98\) | 0.865515 | − | 1.12292i | 0.0874302 | − | 0.113432i | ||||
\(99\) | −2.81989 | + | 4.38783i | −0.283409 | + | 0.440994i | ||||
\(100\) | −7.30839 | − | 10.2632i | −0.730839 | − | 1.02632i | ||||
\(101\) | 1.55155 | − | 8.05019i | 0.154385 | − | 0.801024i | −0.819342 | − | 0.573305i | \(-0.805661\pi\) |
0.973727 | − | 0.227719i | \(-0.0731268\pi\) | |||||||
\(102\) | 0.460672 | − | 0.893578i | 0.0456133 | − | 0.0884774i | ||||
\(103\) | 2.42045 | + | 0.969000i | 0.238494 | + | 0.0954784i | 0.487830 | − | 0.872938i | \(-0.337788\pi\) |
−0.249337 | + | 0.968417i | \(0.580213\pi\) | |||||||
\(104\) | 1.69345 | − | 0.243481i | 0.166056 | − | 0.0238753i | ||||
\(105\) | −3.16689 | − | 8.36614i | −0.309057 | − | 0.816452i | ||||
\(106\) | −0.149996 | − | 0.129973i | −0.0145689 | − | 0.0126241i | ||||
\(107\) | −6.46566 | + | 4.60418i | −0.625059 | + | 0.445103i | −0.848195 | − | 0.529685i | \(-0.822310\pi\) |
0.223135 | + | 0.974787i | \(0.428371\pi\) | |||||||
\(108\) | 1.95676 | + | 0.0932119i | 0.188289 | + | 0.00896932i | ||||
\(109\) | 9.10675 | − | 9.55088i | 0.872268 | − | 0.914809i | −0.124733 | − | 0.992190i | \(-0.539808\pi\) |
0.997002 | + | 0.0773817i | \(0.0246560\pi\) | |||||||
\(110\) | 0.675964 | + | 3.50723i | 0.0644506 | + | 0.334402i | ||||
\(111\) | 9.42059 | + | 2.76613i | 0.894162 | + | 0.262550i | ||||
\(112\) | −9.47907 | − | 2.97935i | −0.895688 | − | 0.281522i | ||||
\(113\) | 8.04799 | + | 1.15713i | 0.757092 | + | 0.108853i | 0.510042 | − | 0.860150i | \(-0.329630\pi\) |
0.247050 | + | 0.969003i | \(0.420539\pi\) | |||||||
\(114\) | −0.569310 | − | 0.328691i | −0.0533207 | − | 0.0307847i | ||||
\(115\) | −3.71392 | − | 15.7840i | −0.346324 | − | 1.47187i | ||||
\(116\) | −5.39773 | − | 9.34914i | −0.501167 | − | 0.868046i | ||||
\(117\) | 1.31894 | − | 1.67717i | 0.121936 | − | 0.155054i | ||||
\(118\) | 0.815432 | − | 0.372395i | 0.0750666 | − | 0.0342818i | ||||
\(119\) | 0.376437 | + | 13.1273i | 0.0345079 | + | 1.20337i | ||||
\(120\) | 2.04891 | − | 1.77539i | 0.187039 | − | 0.162070i | ||||
\(121\) | −3.82043 | + | 15.7480i | −0.347312 | + | 1.43164i | ||||
\(122\) | −0.0815805 | + | 1.71259i | −0.00738595 | + | 0.155050i | ||||
\(123\) | −4.84600 | + | 0.462737i | −0.436949 | + | 0.0417236i | ||||
\(124\) | 10.7573 | − | 3.72315i | 0.966036 | − | 0.334348i | ||||
\(125\) | −4.07206 | + | 2.61696i | −0.364216 | + | 0.234068i | ||||
\(126\) | 0.480860 | − | 0.236488i | 0.0428384 | − | 0.0210680i | ||||
\(127\) | 0.647650 | + | 4.50451i | 0.0574697 | + | 0.399710i | 0.998170 | + | 0.0604714i | \(0.0192604\pi\) |
−0.940700 | + | 0.339239i | \(0.889831\pi\) | |||||||
\(128\) | −0.292770 | − | 6.14600i | −0.0258775 | − | 0.543235i | ||||
\(129\) | −11.6455 | − | 2.24450i | −1.02533 | − | 0.197617i | ||||
\(130\) | −0.138889 | − | 1.45451i | −0.0121813 | − | 0.127569i | ||||
\(131\) | 0.0869913 | + | 0.168740i | 0.00760047 | + | 0.0147429i | 0.892605 | − | 0.450839i | \(-0.148875\pi\) |
−0.885005 | + | 0.465582i | \(0.845845\pi\) | |||||||
\(132\) | 9.80380 | − | 2.87865i | 0.853311 | − | 0.250555i | ||||
\(133\) | 8.58582 | + | 0.162564i | 0.744485 | + | 0.0140961i | ||||
\(134\) | −0.0375583 | + | 0.127912i | −0.00324454 | + | 0.0110499i | ||||
\(135\) | 0.321391 | − | 3.36576i | 0.0276609 | − | 0.289679i | ||||
\(136\) | −3.69500 | + | 1.47925i | −0.316844 | + | 0.126845i | ||||
\(137\) | 4.54047 | − | 2.62144i | 0.387919 | − | 0.223965i | −0.293339 | − | 0.956008i | \(-0.594767\pi\) |
0.681258 | + | 0.732043i | \(0.261433\pi\) | |||||||
\(138\) | 0.920090 | − | 0.311347i | 0.0783233 | − | 0.0265036i | ||||
\(139\) | − | 2.81270i | − | 0.238570i | −0.992860 | − | 0.119285i | \(-0.961940\pi\) | ||
0.992860 | − | 0.119285i | \(-0.0380602\pi\) | |||||||
\(140\) | −6.04400 | + | 16.4487i | −0.510811 | + | 1.39017i | ||||
\(141\) | −4.39240 | − | 9.61800i | −0.369906 | − | 0.809982i | ||||
\(142\) | −1.64351 | + | 1.56708i | −0.137920 | + | 0.131506i | ||||
\(143\) | 3.63987 | − | 10.5167i | 0.304381 | − | 0.879452i | ||||
\(144\) | −2.71802 | − | 2.59163i | −0.226502 | − | 0.215969i | ||||
\(145\) | −16.5610 | + | 8.53780i | −1.37532 | + | 0.709026i | ||||
\(146\) | −1.36803 | − | 0.624758i | −0.113219 | − | 0.0517053i | ||||
\(147\) | −4.00469 | + | 5.74129i | −0.330301 | + | 0.473534i | ||||
\(148\) | −10.3986 | − | 16.1805i | −0.854759 | − | 1.33003i | ||||
\(149\) | 6.30164 | − | 15.7407i | 0.516250 | − | 1.28953i | −0.409816 | − | 0.912168i | \(-0.634407\pi\) |
0.926066 | − | 0.377362i | \(-0.123169\pi\) | |||||||
\(150\) | −0.805247 | − | 1.02396i | −0.0657482 | − | 0.0836056i | ||||
\(151\) | −15.0923 | − | 7.78060i | −1.22819 | − | 0.633177i | −0.282820 | − | 0.959173i | \(-0.591270\pi\) |
−0.945371 | + | 0.325996i | \(0.894300\pi\) | |||||||
\(152\) | 0.851215 | + | 2.45942i | 0.0690426 | + | 0.199486i | ||||
\(153\) | −2.06199 | + | 4.51512i | −0.166702 | + | 0.365026i | ||||
\(154\) | 1.96671 | − | 1.98595i | 0.158482 | − | 0.160032i | ||||
\(155\) | −5.53521 | − | 18.8512i | −0.444598 | − | 1.51416i | ||||
\(156\) | −4.10426 | + | 0.791030i | −0.328603 | + | 0.0633331i | ||||
\(157\) | −1.71634 | − | 7.07483i | −0.136978 | − | 0.564633i | −0.998390 | − | 0.0567251i | \(-0.981934\pi\) |
0.861411 | − | 0.507908i | \(-0.169581\pi\) | |||||||
\(158\) | −1.76208 | − | 1.25477i | −0.140184 | − | 0.0998245i | ||||
\(159\) | 0.770278 | + | 0.605753i | 0.0610870 | + | 0.0480394i | ||||
\(160\) | −7.99398 | −0.631980 | ||||||||
\(161\) | −8.55423 | + | 9.37151i | −0.674167 | + | 0.738579i | ||||
\(162\) | 0.202538 | 0.0159129 | ||||||||
\(163\) | 10.0570 | + | 7.90893i | 0.787727 | + | 0.619475i | 0.928824 | − | 0.370521i | \(-0.120821\pi\) |
−0.141098 | + | 0.989996i | \(0.545063\pi\) | |||||||
\(164\) | 7.76811 | + | 5.53165i | 0.606587 | + | 0.431949i | ||||
\(165\) | −4.15762 | − | 17.1380i | −0.323671 | − | 1.33419i | ||||
\(166\) | 2.23558 | − | 0.430872i | 0.173514 | − | 0.0334422i | ||||
\(167\) | −2.84952 | − | 9.70459i | −0.220503 | − | 0.750964i | −0.993224 | − | 0.116218i | \(-0.962923\pi\) |
0.772721 | − | 0.634746i | \(-0.218895\pi\) | |||||||
\(168\) | −2.05184 | − | 0.539098i | −0.158303 | − | 0.0415923i | ||||
\(169\) | 3.50922 | − | 7.68412i | 0.269940 | − | 0.591086i | ||||
\(170\) | 1.11174 | + | 3.21216i | 0.0852666 | + | 0.246362i | ||||
\(171\) | 2.88491 | + | 1.48727i | 0.220614 | + | 0.113735i | ||||
\(172\) | 14.3618 | + | 18.2626i | 1.09508 | + | 1.39251i | ||||
\(173\) | −5.65682 | + | 14.1300i | −0.430080 | + | 1.07429i | 0.542155 | + | 0.840279i | \(0.317609\pi\) |
−0.972234 | + | 0.234009i | \(0.924816\pi\) | |||||||
\(174\) | −0.603432 | − | 0.938958i | −0.0457460 | − | 0.0711822i | ||||
\(175\) | 15.6750 | + | 6.62232i | 1.18492 | + | 0.500601i | ||||
\(176\) | −17.8181 | − | 8.13727i | −1.34309 | − | 0.613370i | ||||
\(177\) | −3.93401 | + | 2.02813i | −0.295699 | + | 0.152443i | ||||
\(178\) | 1.26855 | + | 1.20956i | 0.0950819 | + | 0.0906604i | ||||
\(179\) | 1.57095 | − | 4.53897i | 0.117419 | − | 0.339259i | −0.870942 | − | 0.491385i | \(-0.836491\pi\) |
0.988361 | + | 0.152126i | \(0.0486120\pi\) | |||||||
\(180\) | −4.79361 | + | 4.57070i | −0.357295 | + | 0.340680i | ||||
\(181\) | 2.09959 | + | 4.59746i | 0.156061 | + | 0.341726i | 0.971471 | − | 0.237157i | \(-0.0762157\pi\) |
−0.815410 | + | 0.578884i | \(0.803488\pi\) | |||||||
\(182\) | −0.878110 | + | 0.732247i | −0.0650898 | + | 0.0542777i | ||||
\(183\) | − | 8.46520i | − | 0.625765i | ||||||
\(184\) | −3.56010 | − | 1.45386i | −0.262454 | − | 0.107180i | ||||
\(185\) | −28.7489 | + | 16.5982i | −2.11366 | + | 1.22032i | ||||
\(186\) | 1.09262 | − | 0.437420i | 0.0801150 | − | 0.0320732i | ||||
\(187\) | −2.46097 | + | 25.7724i | −0.179964 | + | 1.88467i | ||||
\(188\) | −5.83561 | + | 19.8742i | −0.425605 | + | 1.44948i | ||||
\(189\) | −2.31592 | + | 1.27926i | −0.168458 | + | 0.0930527i | ||||
\(190\) | 2.13262 | − | 0.626195i | 0.154717 | − | 0.0454289i | ||||
\(191\) | 0.713241 | + | 1.38349i | 0.0516083 | + | 0.100106i | 0.913229 | − | 0.407446i | \(-0.133581\pi\) |
−0.861621 | + | 0.507552i | \(0.830550\pi\) | |||||||
\(192\) | 0.668456 | + | 7.00039i | 0.0482417 | + | 0.505210i | ||||
\(193\) | 9.47742 | + | 1.82662i | 0.682199 | + | 0.131483i | 0.518565 | − | 0.855038i | \(-0.326466\pi\) |
0.163634 | + | 0.986521i | \(0.447678\pi\) | |||||||
\(194\) | 0.0408161 | + | 0.856835i | 0.00293042 | + | 0.0615171i | ||||
\(195\) | 1.02667 | + | 7.14062i | 0.0735211 | + | 0.511350i | ||||
\(196\) | 13.2942 | − | 3.36252i | 0.949585 | − | 0.240180i | ||||
\(197\) | −5.54677 | + | 3.56469i | −0.395191 | + | 0.253974i | −0.723111 | − | 0.690732i | \(-0.757289\pi\) |
0.327920 | + | 0.944705i | \(0.393652\pi\) | |||||||
\(198\) | 0.998304 | − | 0.345516i | 0.0709464 | − | 0.0245548i | ||||
\(199\) | 16.3346 | − | 1.55977i | 1.15793 | − | 0.110569i | 0.501641 | − | 0.865076i | \(-0.332730\pi\) |
0.656292 | + | 0.754507i | \(0.272124\pi\) | |||||||
\(200\) | −0.245389 | + | 5.15134i | −0.0173516 | + | 0.364255i | ||||
\(201\) | 0.155178 | − | 0.639651i | 0.0109454 | − | 0.0451175i | ||||
\(202\) | −1.25491 | + | 1.08738i | −0.0882950 | + | 0.0765081i | ||||
\(203\) | 12.8305 | + | 6.92512i | 0.900526 | + | 0.486048i | ||||
\(204\) | 8.84502 | − | 4.03939i | 0.619275 | − | 0.282814i | ||||
\(205\) | 10.1744 | − | 12.9378i | 0.710610 | − | 0.903615i | ||||
\(206\) | −0.264030 | − | 0.457313i | −0.0183958 | − | 0.0318625i | ||||
\(207\) | −4.46450 | + | 1.75164i | −0.310304 | + | 0.121747i | ||||
\(208\) | 6.93952 | + | 4.00653i | 0.481169 | + | 0.277803i | ||||
\(209\) | 16.7568 | + | 2.40926i | 1.15909 | + | 0.166652i | ||||
\(210\) | −0.543261 | + | 1.72844i | −0.0374886 | + | 0.119273i | ||||
\(211\) | 23.1097 | + | 6.78561i | 1.59093 | + | 0.467140i | 0.953005 | − | 0.302955i | \(-0.0979731\pi\) |
0.637929 | + | 0.770095i | \(0.279791\pi\) | |||||||
\(212\) | −0.363299 | − | 1.88497i | −0.0249515 | − | 0.129460i | ||||
\(213\) | 7.73720 | − | 8.11454i | 0.530144 | − | 0.555999i | ||||
\(214\) | 1.60582 | + | 0.0764946i | 0.109772 | + | 0.00522907i | ||||
\(215\) | 32.6637 | − | 23.2597i | 2.22765 | − | 1.58630i | ||||
\(216\) | −0.605994 | − | 0.525097i | −0.0412327 | − | 0.0357283i | ||||
\(217\) | −9.73075 | + | 11.9028i | −0.660566 | + | 0.808017i | ||||
\(218\) | −2.64563 | + | 0.380384i | −0.179185 | + | 0.0257629i | ||||
\(219\) | 6.89354 | + | 2.75976i | 0.465822 | + | 0.186487i | ||||
\(220\) | −15.8302 | + | 30.7063i | −1.06727 | + | 2.07022i | ||||
\(221\) | 2.00432 | − | 10.3994i | 0.134825 | − | 0.699540i | ||||
\(222\) | −1.15349 | − | 1.61985i | −0.0774173 | − | 0.108717i | ||||
\(223\) | −7.98042 | + | 12.4178i | −0.534409 | + | 0.831556i | −0.998529 | − | 0.0542159i | \(-0.982734\pi\) |
0.464121 | + | 0.885772i | \(0.346370\pi\) | |||||||
\(224\) | 3.53140 | + | 5.16331i | 0.235952 | + | 0.344988i | ||||
\(225\) | 4.21183 | + | 4.86071i | 0.280788 | + | 0.324047i | ||||
\(226\) | −1.13642 | − | 1.19184i | −0.0755932 | − | 0.0792799i | ||||
\(227\) | 10.9896 | − | 15.4327i | 0.729404 | − | 1.02430i | −0.268728 | − | 0.963216i | \(-0.586603\pi\) |
0.998132 | − | 0.0610886i | \(-0.0194572\pi\) | |||||||
\(228\) | −2.36314 | − | 5.90283i | −0.156503 | − | 0.390924i | ||||
\(229\) | 9.64285 | − | 16.7019i | 0.637217 | − | 1.10369i | −0.348824 | − | 0.937188i | \(-0.613419\pi\) |
0.986041 | − | 0.166504i | \(-0.0532479\pi\) | |||||||
\(230\) | −1.38489 | + | 2.97789i | −0.0913172 | + | 0.196356i | ||||
\(231\) | −9.23274 | + | 10.2562i | −0.607470 | + | 0.674810i | ||||
\(232\) | −0.628858 | + | 4.37380i | −0.0412865 | + | 0.287154i | ||||
\(233\) | −1.77185 | − | 0.169191i | −0.116078 | − | 0.0110841i | 0.0368555 | − | 0.999321i | \(-0.488266\pi\) |
−0.152933 | + | 0.988237i | \(0.548872\pi\) | |||||||
\(234\) | −0.419966 | + | 0.101883i | −0.0274541 | + | 0.00666028i | ||||
\(235\) | 33.7836 | + | 11.6926i | 2.20380 | + | 0.762742i | ||||
\(236\) | 8.42609 | + | 2.04415i | 0.548492 | + | 0.133063i | ||||
\(237\) | 8.98493 | + | 5.77426i | 0.583634 | + | 0.375079i | ||||
\(238\) | 1.58362 | − | 2.13707i | 0.102651 | − | 0.138526i | ||||
\(239\) | −16.7102 | + | 19.2847i | −1.08090 | + | 1.24742i | −0.113666 | + | 0.993519i | \(0.536259\pi\) |
−0.967230 | + | 0.253902i | \(0.918286\pi\) | |||||||
\(240\) | 12.6834 | − | 0.604185i | 0.818710 | − | 0.0390000i | ||||
\(241\) | −14.1813 | + | 11.1523i | −0.913498 | + | 0.718383i | −0.959842 | − | 0.280543i | \(-0.909486\pi\) |
0.0463434 | + | 0.998926i | \(0.485243\pi\) | |||||||
\(242\) | 2.57990 | − | 2.02886i | 0.165843 | − | 0.130420i | ||||
\(243\) | −0.998867 | + | 0.0475819i | −0.0640774 | + | 0.00305238i | ||||
\(244\) | −10.8596 | + | 12.5327i | −0.695217 | + | 0.802324i | ||||
\(245\) | −4.70516 | − | 23.1951i | −0.300602 | − | 1.48188i | ||||
\(246\) | 0.829447 | + | 0.533053i | 0.0528836 | + | 0.0339862i | ||||
\(247\) | −6.73003 | − | 1.63269i | −0.428222 | − | 0.103885i | ||||
\(248\) | −4.40317 | − | 1.52395i | −0.279601 | − | 0.0967710i | ||||
\(249\) | −10.9241 | + | 2.65015i | −0.692285 | + | 0.167946i | ||||
\(250\) | 0.975942 | + | 0.0931912i | 0.0617240 | + | 0.00589393i | ||||
\(251\) | 3.26369 | − | 22.6994i | 0.206002 | − | 1.43278i | −0.580033 | − | 0.814593i | \(-0.696960\pi\) |
0.786035 | − | 0.618183i | \(-0.212131\pi\) | |||||||
\(252\) | 5.06983 | + | 1.07705i | 0.319369 | + | 0.0678479i | ||||
\(253\) | −19.0172 | + | 16.2499i | −1.19560 | + | 1.02162i | ||||
\(254\) | 0.460859 | − | 0.798231i | 0.0289169 | − | 0.0500855i | ||||
\(255\) | −6.23744 | − | 15.5804i | −0.390604 | − | 0.975681i | ||||
\(256\) | 7.43532 | − | 10.4414i | 0.464707 | − | 0.652590i | ||||
\(257\) | 4.44170 | + | 4.65832i | 0.277065 | + | 0.290578i | 0.847533 | − | 0.530742i | \(-0.178087\pi\) |
−0.570468 | + | 0.821320i | \(0.693238\pi\) | |||||||
\(258\) | 1.57303 | + | 1.81537i | 0.0979325 | + | 0.113020i | ||||
\(259\) | 23.4208 | + | 11.2365i | 1.45530 | + | 0.698204i | ||||
\(260\) | 7.64042 | − | 11.8887i | 0.473839 | − | 0.737308i | ||||
\(261\) | 3.19656 | + | 4.48893i | 0.197862 | + | 0.277858i | ||||
\(262\) | 0.00727683 | − | 0.0377558i | 0.000449564 | − | 0.00233256i | ||||
\(263\) | 2.34264 | − | 4.54408i | 0.144453 | − | 0.280200i | −0.805498 | − | 0.592598i | \(-0.798102\pi\) |
0.949951 | + | 0.312398i | \(0.101132\pi\) | |||||||
\(264\) | −3.88270 | − | 1.55440i | −0.238964 | − | 0.0956666i | ||||
\(265\) | −3.27949 | + | 0.471520i | −0.201458 | + | 0.0289652i | ||||
\(266\) | −1.34656 | − | 1.10083i | −0.0825629 | − | 0.0674965i | ||||
\(267\) | −6.54032 | − | 5.66722i | −0.400261 | − | 0.346828i | ||||
\(268\) | −1.05032 | + | 0.747930i | −0.0641586 | + | 0.0456871i | ||||
\(269\) | 13.1121 | + | 0.624608i | 0.799461 | + | 0.0380830i | 0.443336 | − | 0.896355i | \(-0.353795\pi\) |
0.356125 | + | 0.934438i | \(0.384098\pi\) | |||||||
\(270\) | −0.472564 | + | 0.495611i | −0.0287593 | + | 0.0301619i | ||||
\(271\) | −0.589108 | − | 3.05658i | −0.0357858 | − | 0.185674i | 0.959637 | − | 0.281241i | \(-0.0907459\pi\) |
−0.995423 | + | 0.0955664i | \(0.969534\pi\) | |||||||
\(272\) | −17.8862 | − | 5.25188i | −1.08451 | − | 0.318442i | ||||
\(273\) | 4.15859 | − | 3.81754i | 0.251689 | − | 0.231048i | ||||
\(274\) | −1.05108 | − | 0.151122i | −0.0634979 | − | 0.00912962i | ||||
\(275\) | 29.0519 | + | 16.7731i | 1.75190 | + | 1.01146i | ||||
\(276\) | 8.85678 | + | 3.13403i | 0.533116 | + | 0.188646i | ||||
\(277\) | −8.42175 | − | 14.5869i | −0.506014 | − | 0.876441i | −0.999976 | − | 0.00695797i | \(-0.997785\pi\) |
0.493962 | − | 0.869483i | \(-0.335548\pi\) | |||||||
\(278\) | −0.352153 | + | 0.447799i | −0.0211207 | + | 0.0268572i | ||||
\(279\) | −5.28577 | + | 2.41393i | −0.316451 | + | 0.144518i | ||||
\(280\) | 6.10655 | − | 3.76303i | 0.364936 | − | 0.224884i | ||||
\(281\) | −7.44276 | + | 6.44919i | −0.443998 | + | 0.384726i | −0.847969 | − | 0.530045i | \(-0.822175\pi\) |
0.403972 | + | 0.914772i | \(0.367629\pi\) | |||||||
\(282\) | −0.504888 | + | 2.08118i | −0.0300656 | + | 0.123932i | ||||
\(283\) | −1.39607 | + | 29.3071i | −0.0829878 | + | 1.74213i | 0.447364 | + | 0.894352i | \(0.352363\pi\) |
−0.530352 | + | 0.847777i | \(0.677940\pi\) | |||||||
\(284\) | −21.8647 | + | 2.08783i | −1.29743 | + | 0.123890i | ||||
\(285\) | −10.3704 | + | 3.58924i | −0.614291 | + | 0.212608i | ||||
\(286\) | −1.89619 | + | 1.21861i | −0.112124 | + | 0.0720578i | ||||
\(287\) | −12.8511 | − | 0.856270i | −0.758578 | − | 0.0505440i | ||||
\(288\) | 0.336480 | + | 2.34027i | 0.0198273 | + | 0.137902i | ||||
\(289\) | 0.363436 | + | 7.62945i | 0.0213786 | + | 0.448791i | ||||
\(290\) | 3.70556 | + | 0.714187i | 0.217598 | + | 0.0419385i | ||||
\(291\) | −0.402588 | − | 4.21610i | −0.0236002 | − | 0.247152i | ||||
\(292\) | −6.66548 | − | 12.9292i | −0.390068 | − | 0.756626i | ||||
\(293\) | 24.2951 | − | 7.13368i | 1.41933 | − | 0.416754i | 0.520056 | − | 0.854132i | \(-0.325911\pi\) |
0.899278 | + | 0.437378i | \(0.144093\pi\) | |||||||
\(294\) | 1.35639 | − | 0.412657i | 0.0791061 | − | 0.0240667i | ||||
\(295\) | 4.21605 | − | 14.3586i | 0.245468 | − | 0.835987i | ||||
\(296\) | −0.748353 | + | 7.83711i | −0.0434971 | + | 0.455523i | ||||
\(297\) | −4.84220 | + | 1.93853i | −0.280973 | + | 0.112485i | ||||
\(298\) | −2.97401 | + | 1.71705i | −0.172280 | + | 0.0994659i | ||||
\(299\) | 8.37608 | − | 5.87782i | 0.484401 | − | 0.339923i | ||||
\(300\) | − | 12.5994i | − | 0.727429i | ||||||
\(301\) | −29.4529 | − | 10.8223i | −1.69764 | − | 0.623789i | ||||
\(302\) | 1.42864 | + | 3.12829i | 0.0822090 | + | 0.180013i | ||||
\(303\) | 5.93342 | − | 5.65751i | 0.340866 | − | 0.325015i | ||||
\(304\) | −3.98678 | + | 11.5190i | −0.228657 | + | 0.660662i | ||||
\(305\) | 20.7143 | + | 19.7510i | 1.18610 | + | 1.13094i | ||||
\(306\) | 0.893578 | − | 0.460672i | 0.0510825 | − | 0.0263348i | ||||
\(307\) | −17.1892 | − | 7.85003i | −0.981038 | − | 0.448025i | −0.140679 | − | 0.990055i | \(-0.544929\pi\) |
−0.840359 | + | 0.542030i | \(0.817656\pi\) | |||||||
\(308\) | 26.8263 | − | 3.34002i | 1.52857 | − | 0.190315i | ||||
\(309\) | 1.40956 | + | 2.19332i | 0.0801872 | + | 0.124774i | ||||
\(310\) | −1.47895 | + | 3.69423i | −0.0839986 | + | 0.209818i | ||||
\(311\) | −6.31069 | − | 8.02470i | −0.357847 | − | 0.455039i | 0.573482 | − | 0.819218i | \(-0.305592\pi\) |
−0.931329 | + | 0.364179i | \(0.881350\pi\) | |||||||
\(312\) | 1.52068 | + | 0.783963i | 0.0860914 | + | 0.0443832i | ||||
\(313\) | −0.987152 | − | 2.85219i | −0.0557971 | − | 0.161215i | 0.913658 | − | 0.406484i | \(-0.133245\pi\) |
−0.969455 | + | 0.245268i | \(0.921124\pi\) | |||||||
\(314\) | −0.612525 | + | 1.34124i | −0.0345668 | + | 0.0756907i | ||||
\(315\) | 2.27317 | − | 8.65183i | 0.128078 | − | 0.487475i | ||||
\(316\) | −5.89460 | − | 20.0752i | −0.331597 | − | 1.12932i | ||||
\(317\) | −9.56393 | + | 1.84330i | −0.537164 | + | 0.103530i | −0.450616 | − | 0.892718i | \(-0.648796\pi\) |
−0.0865478 | + | 0.996248i | \(0.527584\pi\) | |||||||
\(318\) | −0.0467920 | − | 0.192879i | −0.00262396 | − | 0.0108161i | ||||
\(319\) | 23.4135 | + | 16.6727i | 1.31090 | + | 0.933490i | ||||
\(320\) | −18.6896 | − | 14.6976i | −1.04478 | − | 0.821623i | ||||
\(321\) | −7.93746 | −0.443026 | ||||||||
\(322\) | 2.53521 | − | 0.421004i | 0.141282 | − | 0.0234616i | ||||
\(323\) | 16.1107 | 0.896423 | ||||||||
\(324\) | 1.53986 | + | 1.21096i | 0.0855478 | + | 0.0672756i | ||||
\(325\) | −11.1784 | − | 7.96007i | −0.620064 | − | 0.441545i | ||||
\(326\) | −0.610932 | − | 2.51830i | −0.0338364 | − | 0.139476i | ||||
\(327\) | 12.9582 | − | 2.49749i | 0.716590 | − | 0.138111i | ||||
\(328\) | −1.09972 | − | 3.74530i | −0.0607218 | − | 0.206800i | ||||
\(329\) | −7.37189 | − | 26.9861i | −0.406426 | − | 1.48779i | ||||
\(330\) | −1.48377 | + | 3.24901i | −0.0816789 | + | 0.178852i | ||||
\(331\) | −2.85180 | − | 8.23974i | −0.156749 | − | 0.452897i | 0.839093 | − | 0.543987i | \(-0.183086\pi\) |
−0.995843 | + | 0.0910902i | \(0.970965\pi\) | |||||||
\(332\) | 19.5728 | + | 10.0905i | 1.07420 | + | 0.553787i | ||||
\(333\) | 6.06927 | + | 7.71770i | 0.332594 | + | 0.422927i | ||||
\(334\) | −0.761363 | + | 1.90179i | −0.0416599 | + | 0.104061i | ||||
\(335\) | 1.20316 | + | 1.87216i | 0.0657357 | + | 0.102287i | ||||
\(336\) | −5.99323 | − | 7.92530i | −0.326957 | − | 0.432361i | ||||
\(337\) | 11.6135 | + | 5.30369i | 0.632626 | + | 0.288911i | 0.705803 | − | 0.708408i | \(-0.250586\pi\) |
−0.0731769 | + | 0.997319i | \(0.523314\pi\) | |||||||
\(338\) | −1.52075 | + | 0.784000i | −0.0827178 | + | 0.0426440i | ||||
\(339\) | 5.88450 | + | 5.61086i | 0.319602 | + | 0.304740i | ||||
\(340\) | −10.7529 | + | 31.0685i | −0.583158 | + | 1.68492i | ||||
\(341\) | −21.9353 | + | 20.9153i | −1.18787 | + | 1.13263i | ||||
\(342\) | −0.273086 | − | 0.597976i | −0.0147668 | − | 0.0323348i | ||||
\(343\) | −12.9032 | + | 13.2857i | −0.696705 | + | 0.717358i | ||||
\(344\) | − | 9.50978i | − | 0.512733i | ||||||
\(345\) | 6.13035 | − | 15.0115i | 0.330047 | − | 0.808194i | ||||
\(346\) | 2.66969 | − | 1.54135i | 0.143524 | − | 0.0828634i | ||||
\(347\) | 9.82983 | − | 3.93527i | 0.527693 | − | 0.211256i | −0.0924899 | − | 0.995714i | \(-0.529483\pi\) |
0.620183 | + | 0.784457i | \(0.287058\pi\) | |||||||
\(348\) | 1.02617 | − | 10.7466i | 0.0550087 | − | 0.576077i | ||||
\(349\) | 1.89485 | − | 6.45328i | 0.101429 | − | 0.345436i | −0.893105 | − | 0.449849i | \(-0.851478\pi\) |
0.994534 | + | 0.104412i | \(0.0332962\pi\) | |||||||
\(350\) | −1.66644 | − | 3.01684i | −0.0890748 | − | 0.161257i | ||||
\(351\) | 2.04723 | − | 0.601121i | 0.109273 | − | 0.0320855i | ||||
\(352\) | 5.65083 | + | 10.9611i | 0.301190 | + | 0.584227i | ||||
\(353\) | −1.11724 | − | 11.7002i | −0.0594645 | − | 0.622741i | −0.975255 | − | 0.221084i | \(-0.929041\pi\) |
0.915790 | − | 0.401657i | \(-0.131566\pi\) | |||||||
\(354\) | 0.880242 | + | 0.169653i | 0.0467843 | + | 0.00901694i | ||||
\(355\) | 1.80377 | + | 37.8658i | 0.0957342 | + | 2.00971i | ||||
\(356\) | 2.41269 | + | 16.7806i | 0.127872 | + | 0.889371i | ||||
\(357\) | −7.30792 | + | 10.9115i | −0.386776 | + | 0.577498i | ||||
\(358\) | −0.818389 | + | 0.525947i | −0.0432532 | + | 0.0277972i | ||||
\(359\) | −19.0171 | + | 6.58188i | −1.00368 | + | 0.347378i | −0.778980 | − | 0.627049i | \(-0.784263\pi\) |
−0.224704 | + | 0.974427i | \(0.572142\pi\) | |||||||
\(360\) | 2.69882 | − | 0.257706i | 0.142240 | − | 0.0135823i | ||||
\(361\) | −0.402797 | + | 8.45574i | −0.0211998 | + | 0.445039i | ||||
\(362\) | 0.241339 | − | 0.994814i | 0.0126845 | − | 0.0522863i | ||||
\(363\) | −12.2468 | + | 10.6119i | −0.642789 | + | 0.556980i | ||||
\(364\) | −11.0541 | + | 0.316988i | −0.579394 | + | 0.0166147i | ||||
\(365\) | −22.8371 | + | 10.4294i | −1.19535 | + | 0.545899i | ||||
\(366\) | −1.05985 | + | 1.34771i | −0.0553993 | + | 0.0704459i | ||||
\(367\) | 13.0823 | + | 22.6592i | 0.682890 | + | 1.18280i | 0.974095 | + | 0.226140i | \(0.0726105\pi\) |
−0.291205 | + | 0.956661i | \(0.594056\pi\) | |||||||
\(368\) | −8.89755 | − | 15.6598i | −0.463817 | − | 0.816324i | ||||
\(369\) | −4.21585 | − | 2.43402i | −0.219468 | − | 0.126710i | ||||
\(370\) | 6.65510 | + | 0.956859i | 0.345982 | + | 0.0497447i | ||||
\(371\) | 1.75329 | + | 1.90993i | 0.0910265 | + | 0.0991584i | ||||
\(372\) | 10.9223 | + | 3.20707i | 0.566295 | + | 0.166279i | ||||
\(373\) | −3.72704 | − | 19.3377i | −0.192979 | − | 1.00127i | −0.941208 | − | 0.337828i | \(-0.890308\pi\) |
0.748229 | − | 0.663440i | \(-0.230904\pi\) | |||||||
\(374\) | 3.61854 | − | 3.79501i | 0.187110 | − | 0.196235i | ||||
\(375\) | −4.83499 | − | 0.230319i | −0.249678 | − | 0.0118936i | ||||
\(376\) | 6.90624 | − | 4.91791i | 0.356162 | − | 0.253622i | ||||
\(377\) | −8.88616 | − | 7.69990i | −0.457661 | − | 0.396565i | ||||
\(378\) | 0.528873 | + | 0.0862891i | 0.0272023 | + | 0.00443823i | ||||
\(379\) | −12.9554 | + | 1.86271i | −0.665477 | + | 0.0956811i | −0.466771 | − | 0.884378i | \(-0.654583\pi\) |
−0.198706 | + | 0.980059i | \(0.563674\pi\) | |||||||
\(380\) | 19.9579 | + | 7.98993i | 1.02382 | + | 0.409875i | ||||
\(381\) | −2.08531 | + | 4.04494i | −0.106834 | + | 0.207228i | ||||
\(382\) | 0.0596626 | − | 0.309559i | 0.00305260 | − | 0.0158384i | ||||
\(383\) | 1.79775 | + | 2.52458i | 0.0918605 | + | 0.129000i | 0.857949 | − | 0.513736i | \(-0.171739\pi\) |
−0.766088 | + | 0.642736i | \(0.777799\pi\) | |||||||
\(384\) | 3.32655 | − | 5.17621i | 0.169757 | − | 0.264147i | ||||
\(385\) | −3.55506 | − | 46.5224i | −0.181183 | − | 2.37100i | ||||
\(386\) | −1.28017 | − | 1.47739i | −0.0651588 | − | 0.0751972i | ||||
\(387\) | −8.18425 | − | 8.58339i | −0.416029 | − | 0.436318i | ||||
\(388\) | −4.81262 | + | 6.75838i | −0.244324 | + | 0.343105i | ||||
\(389\) | −8.24978 | − | 20.6069i | −0.418280 | − | 1.04481i | −0.976576 | − | 0.215172i | \(-0.930969\pi\) |
0.558296 | − | 0.829642i | \(-0.311455\pi\) | |||||||
\(390\) | 0.730561 | − | 1.26537i | 0.0369934 | − | 0.0640745i | ||||
\(391\) | −15.7128 | + | 17.8825i | −0.794631 | + | 0.904357i | ||||
\(392\) | −5.12815 | − | 2.28187i | −0.259011 | − | 0.115252i | ||||
\(393\) | −0.0270176 | + | 0.187911i | −0.00136286 | + | 0.00947887i | ||||
\(394\) | 1.32938 | + | 0.126941i | 0.0669733 | + | 0.00639517i | ||||
\(395\) | −35.0933 | + | 8.51354i | −1.76573 | + | 0.428363i | ||||
\(396\) | 9.65572 | + | 3.34188i | 0.485218 | + | 0.167936i | ||||
\(397\) | −17.5949 | − | 4.26847i | −0.883062 | − | 0.214229i | −0.231510 | − | 0.972832i | \(-0.574367\pi\) |
−0.651552 | + | 0.758604i | \(0.725882\pi\) | |||||||
\(398\) | −2.79586 | − | 1.79679i | −0.140144 | − | 0.0900649i | ||||
\(399\) | 6.89950 | + | 5.11268i | 0.345407 | + | 0.255954i | ||||
\(400\) | −15.8177 | + | 18.2546i | −0.790887 | + | 0.912732i | ||||
\(401\) | −28.0800 | + | 1.33761i | −1.40225 | + | 0.0667973i | −0.735014 | − | 0.678052i | \(-0.762824\pi\) |
−0.667233 | + | 0.744849i | \(0.732521\pi\) | |||||||
\(402\) | −0.104790 | + | 0.0824079i | −0.00522646 | + | 0.00411013i | ||||
\(403\) | 9.74584 | − | 7.66421i | 0.485475 | − | 0.381782i | ||||
\(404\) | −16.0422 | + | 0.764184i | −0.798129 | + | 0.0380196i | ||||
\(405\) | 2.21413 | − | 2.55524i | 0.110021 | − | 0.126971i | ||||
\(406\) | −1.17566 | − | 2.70891i | −0.0583472 | − | 0.134441i | ||||
\(407\) | 43.0810 | + | 27.6865i | 2.13545 | + | 1.37237i | ||||
\(408\) | −3.86791 | − | 0.938345i | −0.191490 | − | 0.0464550i | ||||
\(409\) | 14.2977 | + | 4.94849i | 0.706977 | + | 0.244687i | 0.656813 | − | 0.754054i | \(-0.271904\pi\) |
0.0501644 | + | 0.998741i | \(0.484025\pi\) | |||||||
\(410\) | −3.23965 | + | 0.785930i | −0.159995 | + | 0.0388143i | ||||
\(411\) | 5.21914 | + | 0.498368i | 0.257441 | + | 0.0245827i | ||||
\(412\) | 0.726867 | − | 5.05547i | 0.0358102 | − | 0.249065i | ||||
\(413\) | −11.1367 | + | 3.61985i | −0.547999 | + | 0.178121i | ||||
\(414\) | 0.930082 | + | 0.280089i | 0.0457110 | + | 0.0137656i | ||||
\(415\) | 19.0032 | − | 32.9145i | 0.932830 | − | 1.61571i | ||||
\(416\) | −1.87492 | − | 4.68332i | −0.0919255 | − | 0.229619i | ||||
\(417\) | 1.63153 | − | 2.29116i | 0.0798962 | − | 0.112199i | ||||
\(418\) | −2.36614 | − | 2.48153i | −0.115732 | − | 0.121376i | ||||
\(419\) | −10.1456 | − | 11.7087i | −0.495647 | − | 0.572008i | 0.451718 | − | 0.892161i | \(-0.350811\pi\) |
−0.947366 | + | 0.320153i | \(0.896266\pi\) | |||||||
\(420\) | −14.4645 | + | 9.89286i | −0.705795 | + | 0.482722i | ||||
\(421\) | 20.2861 | − | 31.5658i | 0.988686 | − | 1.53843i | 0.153726 | − | 0.988113i | \(-0.450873\pi\) |
0.834959 | − | 0.550312i | \(-0.185491\pi\) | |||||||
\(422\) | −2.82963 | − | 3.97366i | −0.137744 | − | 0.193435i | ||||
\(423\) | 2.00105 | − | 10.3824i | 0.0972944 | − | 0.504811i | ||||
\(424\) | −0.360053 | + | 0.698405i | −0.0174857 | + | 0.0339176i | ||||
\(425\) | 29.6378 | + | 11.8652i | 1.43764 | + | 0.575545i | ||||
\(426\) | −2.24776 | + | 0.323179i | −0.108904 | + | 0.0156581i | ||||
\(427\) | 3.60650 | − | 22.1045i | 0.174531 | − | 1.06971i | ||||
\(428\) | 11.7514 | + | 10.1826i | 0.568024 | + | 0.492196i | ||||
\(429\) | 9.06524 | − | 6.45533i | 0.437674 | − | 0.311666i | ||||
\(430\) | −8.11240 | − | 0.386441i | −0.391215 | − | 0.0186359i | ||||
\(431\) | −18.6052 | + | 19.5126i | −0.896182 | + | 0.939889i | −0.998494 | − | 0.0548635i | \(-0.982528\pi\) |
0.102312 | + | 0.994752i | \(0.467376\pi\) | |||||||
\(432\) | −0.710743 | − | 3.68768i | −0.0341956 | − | 0.177424i | ||||
\(433\) | 16.6979 | + | 4.90295i | 0.802451 | + | 0.235621i | 0.657143 | − | 0.753766i | \(-0.271765\pi\) |
0.145308 | + | 0.989386i | \(0.453583\pi\) | |||||||
\(434\) | 3.03944 | − | 0.676703i | 0.145898 | − | 0.0324828i | ||||
\(435\) | −18.4426 | − | 2.65165i | −0.884256 | − | 0.127137i | ||||
\(436\) | −22.3885 | − | 12.9260i | −1.07221 | − | 0.619043i | ||||
\(437\) | 11.1911 | + | 10.8193i | 0.535344 | + | 0.517555i | ||||
\(438\) | −0.751968 | − | 1.30245i | −0.0359304 | − | 0.0622333i | ||||
\(439\) | −8.88628 | + | 11.2998i | −0.424119 | + | 0.539311i | −0.950413 | − | 0.310992i | \(-0.899339\pi\) |
0.526293 | + | 0.850303i | \(0.323581\pi\) | |||||||
\(440\) | 12.8627 | − | 5.87422i | 0.613207 | − | 0.280042i | ||||
\(441\) | −6.59240 | + | 2.35377i | −0.313924 | + | 0.112084i | ||||
\(442\) | −1.62112 | + | 1.40470i | −0.0771086 | + | 0.0668150i | ||||
\(443\) | 6.32017 | − | 26.0521i | 0.300280 | − | 1.23777i | −0.599124 | − | 0.800656i | \(-0.704484\pi\) |
0.899405 | − | 0.437117i | \(-0.144000\pi\) | |||||||
\(444\) | 0.915182 | − | 19.2120i | 0.0434326 | − | 0.911763i | ||||
\(445\) | 29.1276 | − | 2.78135i | 1.38078 | − | 0.131849i | ||||
\(446\) | 2.82525 | − | 0.977828i | 0.133779 | − | 0.0463015i | ||||
\(447\) | 14.2637 | − | 9.16671i | 0.674649 | − | 0.433570i | ||||
\(448\) | −1.23694 | + | 18.5644i | −0.0584401 | + | 0.877085i | ||||
\(449\) | −4.70183 | − | 32.7020i | −0.221893 | − | 1.54330i | −0.730867 | − | 0.682520i | \(-0.760884\pi\) |
0.508974 | − | 0.860782i | \(-0.330025\pi\) | |||||||
\(450\) | −0.0619828 | − | 1.30118i | −0.00292190 | − | 0.0613382i | ||||
\(451\) | −24.9320 | − | 4.80525i | −1.17400 | − | 0.226270i | ||||
\(452\) | −1.51405 | − | 15.8558i | −0.0712149 | − | 0.745796i | ||||
\(453\) | −7.78060 | − | 15.0923i | −0.365565 | − | 0.709097i | ||||
\(454\) | −3.68180 | + | 1.08107i | −0.172795 | + | 0.0507373i | ||||
\(455\) | −0.361321 | + | 19.0832i | −0.0169390 | + | 0.894632i | ||||
\(456\) | −0.733226 | + | 2.49714i | −0.0343365 | + | 0.116939i | ||||
\(457\) | −0.988777 | + | 10.3549i | −0.0462530 | + | 0.484383i | 0.942434 | + | 0.334392i | \(0.108531\pi\) |
−0.988687 | + | 0.149992i | \(0.952075\pi\) | |||||||
\(458\) | −3.62629 | + | 1.45175i | −0.169446 | + | 0.0678358i | ||||
\(459\) | −4.29867 | + | 2.48184i | −0.200645 | + | 0.115842i | ||||
\(460\) | −28.3336 | + | 14.3602i | −1.32106 | + | 0.669547i | ||||
\(461\) | 7.73506i | 0.360258i | 0.983643 | + | 0.180129i | \(0.0576515\pi\) | ||||
−0.983643 | + | 0.180129i | \(0.942349\pi\) | |||||||
\(462\) | 2.75400 | − | 0.476905i | 0.128128 | − | 0.0221876i | ||||
\(463\) | 4.88304 | + | 10.6924i | 0.226934 | + | 0.496917i | 0.988509 | − | 0.151160i | \(-0.0483008\pi\) |
−0.761575 | + | 0.648077i | \(0.775574\pi\) | |||||||
\(464\) | −14.9784 | + | 14.2818i | −0.695353 | + | 0.663018i | ||||
\(465\) | 6.42591 | − | 18.5665i | 0.297994 | − | 0.860999i | ||||
\(466\) | 0.260906 | + | 0.248774i | 0.0120862 | + | 0.0115242i | ||||
\(467\) | 27.3275 | − | 14.0883i | 1.26457 | − | 0.651929i | 0.310228 | − | 0.950662i | \(-0.399594\pi\) |
0.954337 | + | 0.298733i | \(0.0965642\pi\) | |||||||
\(468\) | −3.80207 | − | 1.73635i | −0.175751 | − | 0.0802627i | ||||
\(469\) | 0.677719 | − | 1.60416i | 0.0312942 | − | 0.0740732i | ||||
\(470\) | −3.91462 | − | 6.09127i | −0.180568 | − | 0.280969i | ||||
\(471\) | 2.70572 | − | 6.75856i | 0.124673 | − | 0.311418i | ||||
\(472\) | −2.19384 | − | 2.78970i | −0.100980 | − | 0.128406i | ||||
\(473\) | −54.9825 | − | 28.3454i | −2.52810 | − | 1.30332i | ||||
\(474\) | −0.707511 | − | 2.04422i | −0.0324971 | − | 0.0938941i | ||||
\(475\) | 8.67190 | − | 18.9888i | 0.397894 | − | 0.871266i | ||||
\(476\) | 24.8173 | − | 6.77943i | 1.13750 | − | 0.310735i | ||||
\(477\) | 0.276078 | + | 0.940237i | 0.0126408 | + | 0.0430505i | ||||
\(478\) | 5.07483 | − | 0.978093i | 0.232117 | − | 0.0447369i | ||||
\(479\) | −1.62528 | − | 6.69951i | −0.0742611 | − | 0.306108i | 0.922553 | − | 0.385871i | \(-0.126099\pi\) |
−0.996814 | + | 0.0797625i | \(0.974584\pi\) | |||||||
\(480\) | −6.51171 | − | 4.63696i | −0.297217 | − | 0.211648i | ||||
\(481\) | −16.4669 | − | 12.9497i | −0.750828 | − | 0.590457i | ||||
\(482\) | 3.65403 | 0.166436 | ||||||||
\(483\) | −12.4041 | + | 2.67187i | −0.564405 | + | 0.121574i | ||||
\(484\) | 31.7449 | 1.44295 | ||||||||
\(485\) | 11.2561 | + | 8.85189i | 0.511113 | + | 0.401944i | ||||
\(486\) | 0.164983 | + | 0.117484i | 0.00748378 | + | 0.00532918i | ||||
\(487\) | 6.59097 | + | 27.1684i | 0.298665 | + | 1.23112i | 0.901334 | + | 0.433124i | \(0.142589\pi\) |
−0.602669 | + | 0.797992i | \(0.705896\pi\) | |||||||
\(488\) | 6.66511 | − | 1.28460i | 0.301716 | − | 0.0581509i | ||||
\(489\) | 3.60458 | + | 12.2761i | 0.163005 | + | 0.555143i | ||||
\(490\) | −2.15496 | + | 4.28189i | −0.0973511 | + | 0.193436i | ||||
\(491\) | 5.15413 | − | 11.2860i | 0.232602 | − | 0.509328i | −0.756955 | − | 0.653467i | \(-0.773314\pi\) |
0.989558 | + | 0.144139i | \(0.0460411\pi\) | |||||||
\(492\) | 3.11905 | + | 9.01189i | 0.140617 | + | 0.406287i | ||||
\(493\) | 24.3129 | + | 12.5342i | 1.09500 | + | 0.564510i | ||||
\(494\) | 0.867048 | + | 1.10254i | 0.0390103 | + | 0.0496057i | ||||
\(495\) | 6.55429 | − | 16.3718i | 0.294594 | − | 0.735859i | ||||
\(496\) | −11.7985 | − | 18.3588i | −0.529766 | − | 0.824332i | ||||
\(497\) | 23.6607 | − | 17.8925i | 1.06133 | − | 0.802590i | ||||
\(498\) | 2.07098 | + | 0.945784i | 0.0928028 | + | 0.0423816i | ||||
\(499\) | 21.5849 | − | 11.1278i | 0.966272 | − | 0.498148i | 0.0985147 | − | 0.995136i | \(-0.468591\pi\) |
0.867758 | + | 0.496988i | \(0.165561\pi\) | |||||||
\(500\) | 6.86272 | + | 6.54359i | 0.306910 | + | 0.292638i | ||||
\(501\) | 3.30806 | − | 9.55801i | 0.147793 | − | 0.427020i | ||||
\(502\) | −3.36159 | + | 3.20527i | −0.150035 | + | 0.143058i | ||||
\(503\) | −3.70179 | − | 8.10579i | −0.165055 | − | 0.361419i | 0.808974 | − | 0.587845i | \(-0.200023\pi\) |
−0.974029 | + | 0.226425i | \(0.927296\pi\) | |||||||
\(504\) | −1.35868 | − | 1.62932i | −0.0605202 | − | 0.0725758i | ||||
\(505\) | 27.7192i | 1.23349i | ||||||||
\(506\) | 5.06215 | − | 0.206109i | 0.225040 | − | 0.00916265i | ||||
\(507\) | 7.31575 | − | 4.22375i | 0.324904 | − | 0.187583i | ||||
\(508\) | 8.27637 | − | 3.31336i | 0.367205 | − | 0.147007i | ||||
\(509\) | −1.96616 | + | 20.5906i | −0.0871487 | + | 0.912663i | 0.841144 | + | 0.540812i | \(0.181883\pi\) |
−0.928292 | + | 0.371851i | \(0.878723\pi\) | |||||||
\(510\) | −0.957640 | + | 3.26142i | −0.0424050 | + | 0.144418i | ||||
\(511\) | 16.8248 | + | 10.1432i | 0.744286 | + | 0.448711i | ||||
\(512\) | −14.2985 | + | 4.19841i | −0.631910 | + | 0.185545i | ||||
\(513\) | 1.48727 | + | 2.88491i | 0.0656647 | + | 0.127372i | ||||
\(514\) | −0.123919 | − | 1.29774i | −0.00546582 | − | 0.0572407i | ||||
\(515\) | −8.65584 | − | 1.66828i | −0.381422 | − | 0.0735131i | ||||
\(516\) | 1.10548 | + | 23.2069i | 0.0486661 | + | 1.02163i | ||||
\(517\) | −7.84860 | − | 54.5882i | −0.345181 | − | 2.40079i | ||||
\(518\) | −2.32191 | − | 4.72123i | −0.102019 | − | 0.207439i | ||||
\(519\) | −12.8041 | + | 8.22872i | −0.562039 | + | 0.361201i | ||||
\(520\) | −5.46641 | + | 1.89194i | −0.239718 | + | 0.0829671i | ||||
\(521\) | 2.63538 | − | 0.251648i | 0.115458 | − | 0.0110249i | −0.0371670 | − | 0.999309i | \(-0.511833\pi\) |
0.152625 | + | 0.988284i | \(0.451227\pi\) | |||||||
\(522\) | 0.0531081 | − | 1.11488i | 0.00232448 | − | 0.0487968i | ||||
\(523\) | 10.2987 | − | 42.4519i | 0.450332 | − | 1.85629i | −0.0628654 | − | 0.998022i | \(-0.520024\pi\) |
0.513197 | − | 0.858271i | \(-0.328461\pi\) | |||||||
\(524\) | 0.281063 | − | 0.243542i | 0.0122783 | − | 0.0106392i | ||||
\(525\) | 8.92718 | + | 14.4868i | 0.389614 | + | 0.632256i | ||||
\(526\) | −0.941885 | + | 0.430145i | −0.0410682 | + | 0.0187552i | ||||
\(527\) | −17.8298 | + | 22.6724i | −0.776678 | + | 0.987626i | ||||
\(528\) | −9.79415 | − | 16.9640i | −0.426236 | − | 0.738262i | ||||
\(529\) | −22.9239 | + | 1.86982i | −0.996690 | + | 0.0812965i | ||||
\(530\) | 0.581150 | + | 0.335527i | 0.0252435 | + | 0.0145744i | ||||
\(531\) | −4.38098 | − | 0.629890i | −0.190118 | − | 0.0273349i | ||||
\(532\) | −3.65585 | − | 16.4204i | −0.158501 | − | 0.711914i | ||||
\(533\) | 9.96600 | + | 2.92628i | 0.431675 | + | 0.126751i | ||||
\(534\) | 0.331717 | + | 1.72111i | 0.0143548 | + | 0.0744798i | ||||
\(535\) | 18.5197 | − | 19.4229i | 0.800677 | − | 0.839726i | ||||
\(536\) | 0.527181 | + | 0.0251127i | 0.0227707 | + | 0.00108470i | ||||
\(537\) | 3.91252 | − | 2.78610i | 0.168838 | − | 0.120229i | ||||
\(538\) | −2.00933 | − | 1.74109i | −0.0866283 | − | 0.0750639i | ||||
\(539\) | −28.4783 | + | 22.8478i | −1.22665 | + | 0.984125i | ||||
\(540\) | −6.55603 | + | 0.942614i | −0.282126 | + | 0.0405637i | ||||
\(541\) | −30.5749 | − | 12.2403i | −1.31452 | − | 0.526253i | −0.394775 | − | 0.918778i | \(-0.629177\pi\) |
−0.919741 | + | 0.392525i | \(0.871602\pi\) | |||||||
\(542\) | −0.288898 | + | 0.560383i | −0.0124092 | + | 0.0240705i | ||||
\(543\) | −0.956513 | + | 4.96286i | −0.0410479 | + | 0.212977i | ||||
\(544\) | 6.80743 | + | 9.55970i | 0.291866 | + | 0.409869i | ||||
\(545\) | −24.1228 | + | 37.5358i | −1.03331 | + | 1.60786i | ||||
\(546\) | −1.14003 | + | 0.0871170i | −0.0487889 | + | 0.00372826i | ||||
\(547\) | 12.8418 | + | 14.8202i | 0.549076 | + | 0.633668i | 0.960668 | − | 0.277701i | \(-0.0895724\pi\) |
−0.411592 | + | 0.911368i | \(0.635027\pi\) | |||||||
\(548\) | −7.08759 | − | 7.43325i | −0.302767 | − | 0.317533i | ||||
\(549\) | 4.91030 | − | 6.89554i | 0.209566 | − | 0.294295i | ||||
\(550\) | −2.52523 | − | 6.30772i | −0.107676 | − | 0.268962i | ||||
\(551\) | 8.94318 | − | 15.4900i | 0.380992 | − | 0.659898i | ||||
\(552\) | −2.05665 | − | 3.24934i | −0.0875368 | − | 0.138301i | ||||
\(553\) | 21.0016 | + | 18.9058i | 0.893079 | + | 0.803957i | ||||
\(554\) | −0.485501 | + | 3.37673i | −0.0206269 | + | 0.143464i | ||||
\(555\) | −33.0460 | − | 3.15551i | −1.40273 | − | 0.133944i | ||||
\(556\) | −5.35470 | + | 1.29904i | −0.227090 | + | 0.0550914i | ||||
\(557\) | 26.0706 | + | 9.02311i | 1.10465 | + | 0.382322i | 0.817711 | − | 0.575629i | \(-0.195243\pi\) |
0.286934 | + | 0.957950i | \(0.407364\pi\) | |||||||
\(558\) | 1.14375 | + | 0.277471i | 0.0484189 | + | 0.0117463i | ||||
\(559\) | 21.2878 | + | 13.6809i | 0.900380 | + | 0.578639i | ||||
\(560\) | 33.3766 | + | 3.82595i | 1.41042 | + | 0.161676i | ||||
\(561\) | −16.9541 | + | 19.5661i | −0.715804 | + | 0.826082i | ||||
\(562\) | 1.99238 | − | 0.0949086i | 0.0840433 | − | 0.00400348i | ||||
\(563\) | 9.72028 | − | 7.64412i | 0.409661 | − | 0.322161i | −0.391972 | − | 0.919977i | \(-0.628207\pi\) |
0.801633 | + | 0.597816i | \(0.203965\pi\) | |||||||
\(564\) | −16.2817 | + | 12.8041i | −0.685585 | + | 0.539150i | ||||
\(565\) | −27.4595 | + | 1.30806i | −1.15523 | + | 0.0550304i | ||||
\(566\) | 3.89155 | − | 4.49108i | 0.163574 | − | 0.188774i | ||||
\(567\) | −2.62854 | − | 0.301309i | −0.110388 | − | 0.0126538i | ||||
\(568\) | 7.56315 | + | 4.86054i | 0.317343 | + | 0.203944i | ||||
\(569\) | −3.02742 | − | 0.734444i | −0.126916 | − | 0.0307895i | 0.171798 | − | 0.985132i | \(-0.445042\pi\) |
−0.298714 | + | 0.954343i | \(0.596558\pi\) | |||||||
\(570\) | 2.10041 | + | 0.726960i | 0.0879766 | + | 0.0304490i | ||||
\(571\) | 2.85414 | − | 0.692407i | 0.119442 | − | 0.0289763i | −0.175592 | − | 0.984463i | \(-0.556184\pi\) |
0.295034 | + | 0.955487i | \(0.404669\pi\) | |||||||
\(572\) | −21.7023 | − | 2.07232i | −0.907420 | − | 0.0866481i | ||||
\(573\) | −0.221516 | + | 1.54068i | −0.00925398 | + | 0.0643629i | ||||
\(574\) | 1.93877 | + | 1.74530i | 0.0809227 | + | 0.0728473i | ||||
\(575\) | 12.6194 | + | 28.1455i | 0.526266 | + | 1.17375i | ||||
\(576\) | −3.51612 | + | 6.09009i | −0.146505 | + | 0.253754i | ||||
\(577\) | −12.7127 | − | 31.7549i | −0.529238 | − | 1.32197i | −0.916512 | − | 0.400008i | \(-0.869007\pi\) |
0.387273 | − | 0.921965i | \(-0.373417\pi\) | |||||||
\(578\) | 0.897354 | − | 1.26016i | 0.0373250 | − | 0.0524156i | ||||
\(579\) | 6.66053 | + | 6.98536i | 0.276802 | + | 0.290302i | ||||
\(580\) | 23.9026 | + | 27.5850i | 0.992500 | + | 1.14541i | ||||
\(581\) | −29.6543 | + | 2.26607i | −1.23027 | + | 0.0940123i | ||||
\(582\) | −0.463765 | + | 0.721632i | −0.0192237 | + | 0.0299126i | ||||
\(583\) | 2.96476 | + | 4.16342i | 0.122788 | + | 0.172431i | ||||
\(584\) | −1.12681 | + | 5.84645i | −0.0466278 | + | 0.241928i | ||||
\(585\) | −3.30567 | + | 6.41210i | −0.136673 | + | 0.265108i | ||||
\(586\) | −4.76107 | − | 1.90604i | −0.196678 | − | 0.0787380i | ||||
\(587\) | 17.3947 | − | 2.50097i | 0.717954 | − | 0.103226i | 0.226351 | − | 0.974046i | \(-0.427320\pi\) |
0.491603 | + | 0.870820i | \(0.336411\pi\) | |||||||
\(588\) | 12.7796 | + | 4.97236i | 0.527021 | + | 0.205057i | ||||
\(589\) | 14.2538 | + | 12.3510i | 0.587318 | + | 0.508914i | ||||
\(590\) | −2.46893 | + | 1.75811i | −0.101644 | + | 0.0723804i | ||||
\(591\) | −6.58599 | − | 0.313729i | −0.270911 | − | 0.0129051i | ||||
\(592\) | −25.4454 | + | 26.6863i | −1.04580 | + | 1.09680i | ||||
\(593\) | −2.14286 | − | 11.1182i | −0.0879969 | − | 0.456571i | −0.999022 | − | 0.0442199i | \(-0.985920\pi\) |
0.911025 | − | 0.412351i | \(-0.135292\pi\) | |||||||
\(594\) | 1.01361 | + | 0.297624i | 0.0415891 | + | 0.0122116i | ||||
\(595\) | −9.64953 | − | 43.3412i | −0.395592 | − | 1.77682i | ||||
\(596\) | −32.8769 | − | 4.72699i | −1.34669 | − | 0.193625i | ||||
\(597\) | 14.2106 | + | 8.20448i | 0.581600 | + | 0.335787i | ||||
\(598\) | −2.06943 | − | 0.112909i | −0.0846253 | − | 0.00461721i | ||||
\(599\) | −14.8837 | − | 25.7792i | −0.608130 | − | 1.05331i | −0.991548 | − | 0.129737i | \(-0.958587\pi\) |
0.383419 | − | 0.923575i | \(-0.374747\pi\) | |||||||
\(600\) | −3.18796 | + | 4.05382i | −0.130148 | + | 0.165496i | ||||
\(601\) | 2.56739 | − | 1.17249i | 0.104726 | − | 0.0478268i | −0.362363 | − | 0.932037i | \(-0.618030\pi\) |
0.467089 | + | 0.884210i | \(0.345303\pi\) | |||||||
\(602\) | 3.33411 | + | 5.41051i | 0.135888 | + | 0.220516i | ||||
\(603\) | 0.497438 | − | 0.431032i | 0.0202572 | − | 0.0175530i | ||||
\(604\) | −7.84207 | + | 32.3255i | −0.319089 | + | 1.31530i | ||||
\(605\) | 2.60700 | − | 54.7276i | 0.105989 | − | 2.22499i | ||||
\(606\) | −1.65296 | + | 0.157839i | −0.0671470 | + | 0.00641176i | ||||
\(607\) | 35.3160 | − | 12.2230i | 1.43343 | − | 0.496116i | 0.503549 | − | 0.863967i | \(-0.332027\pi\) |
0.929885 | + | 0.367851i | \(0.119906\pi\) | |||||||
\(608\) | 6.45574 | − | 4.14885i | 0.261815 | − | 0.168258i | ||||
\(609\) | 6.43446 | + | 13.0835i | 0.260738 | + | 0.530169i | ||||
\(610\) | −0.824991 | − | 5.73794i | −0.0334029 | − | 0.232322i | ||||
\(611\) | 1.07346 | + | 22.5347i | 0.0434276 | + | 0.911657i | ||||
\(612\) | 9.54802 | + | 1.84023i | 0.385956 | + | 0.0743869i | ||||
\(613\) | 0.887989 | + | 9.29944i | 0.0358655 | + | 0.375601i | 0.995529 | + | 0.0944513i | \(0.0301097\pi\) |
−0.959664 | + | 0.281150i | \(0.909284\pi\) | |||||||
\(614\) | 1.75379 | + | 3.40187i | 0.0707771 | + | 0.137288i | ||||
\(615\) | 15.7925 | − | 4.63709i | 0.636814 | − | 0.186985i | ||||
\(616\) | −9.47636 | − | 5.71306i | −0.381814 | − | 0.230186i | ||||
\(617\) | −2.93336 | + | 9.99011i | −0.118093 | + | 0.402187i | −0.997230 | − | 0.0743822i | \(-0.976302\pi\) |
0.879137 | + | 0.476569i | \(0.158120\pi\) | |||||||
\(618\) | 0.0501952 | − | 0.525668i | 0.00201915 | − | 0.0211455i | ||||
\(619\) | −34.5855 | + | 13.8460i | −1.39011 | + | 0.556516i | −0.941440 | − | 0.337181i | \(-0.890527\pi\) |
−0.448670 | + | 0.893697i | \(0.648102\pi\) | |||||||
\(620\) | −33.3317 | + | 19.2440i | −1.33863 | + | 0.772859i | ||||
\(621\) | −4.65272 | − | 1.16282i | −0.186707 | − | 0.0466625i | ||||
\(622\) | 2.06769i | 0.0829066i | ||||||||
\(623\) | −14.6638 | − | 17.5848i | −0.587493 | − | 0.704521i | ||||
\(624\) | 3.32875 | + | 7.28894i | 0.133257 | + | 0.291791i | ||||
\(625\) | −11.4294 | + | 10.8979i | −0.457175 | + | 0.435915i | ||||
\(626\) | −0.199936 | + | 0.577678i | −0.00799106 | + | 0.0230887i | ||||
\(627\) | 12.2522 | + | 11.6824i | 0.489304 | + | 0.466550i | ||||
\(628\) | −12.6761 | + | 6.53497i | −0.505831 | + | 0.260774i | ||||
\(629\) | 44.3308 | + | 20.2452i | 1.76758 | + | 0.807229i | ||||
\(630\) | −1.44512 | + | 1.09282i | −0.0575749 | + | 0.0435390i | ||||
\(631\) | −7.49428 | − | 11.6613i | −0.298343 | − | 0.464230i | 0.659426 | − | 0.751769i | \(-0.270799\pi\) |
−0.957769 | + | 0.287539i | \(0.907163\pi\) | |||||||
\(632\) | −3.18293 | + | 7.95057i | −0.126610 | + | 0.316257i | ||||
\(633\) | 14.8885 | + | 18.9323i | 0.591766 | + | 0.752492i | ||||
\(634\) | 1.75342 | + | 0.903950i | 0.0696371 | + | 0.0359004i | ||||
\(635\) | −5.03249 | − | 14.5404i | −0.199708 | − | 0.577019i | ||||
\(636\) | 0.797457 | − | 1.74619i | 0.0316212 | − | 0.0692408i | ||||
\(637\) | 12.4854 | − | 8.19675i | 0.494690 | − | 0.324767i | ||||
\(638\) | −1.64013 | − | 5.58578i | −0.0649335 | − | 0.221143i | ||||
\(639\) | 11.0094 | − | 2.12189i | 0.435526 | − | 0.0839408i | ||||
\(640\) | 4.90464 | + | 20.2172i | 0.193873 | + | 0.799155i | ||||
\(641\) | 16.2850 | + | 11.5965i | 0.643218 | + | 0.458033i | 0.854542 | − | 0.519383i | \(-0.173838\pi\) |
−0.211324 | + | 0.977416i | \(0.567777\pi\) | |||||||
\(642\) | 1.26369 | + | 0.993778i | 0.0498739 | + | 0.0392213i | ||||
\(643\) | 38.5470 | 1.52015 | 0.760073 | − | 0.649837i | \(-0.225163\pi\) | ||||
0.760073 | + | 0.649837i | \(0.225163\pi\) | |||||||
\(644\) | 21.7918 | + | 11.9570i | 0.858718 | + | 0.471171i | ||||
\(645\) | 40.0991 | 1.57890 | ||||||||
\(646\) | −2.56492 | − | 2.01707i | −0.100915 | − | 0.0793607i | ||||
\(647\) | 3.10671 | + | 2.21228i | 0.122137 | + | 0.0869737i | 0.639493 | − | 0.768797i | \(-0.279144\pi\) |
−0.517356 | + | 0.855770i | \(0.673084\pi\) | |||||||
\(648\) | −0.189042 | − | 0.779243i | −0.00742628 | − | 0.0306115i | ||||
\(649\) | −22.6682 | + | 4.36894i | −0.889806 | + | 0.171496i | ||||
\(650\) | 0.783053 | + | 2.66683i | 0.0307139 | + | 0.104602i | ||||
\(651\) | −14.8308 | + | 4.05137i | −0.581263 | + | 0.158786i | ||||
\(652\) | 10.4119 | − | 22.7988i | 0.407761 | − | 0.892871i | ||||
\(653\) | −7.62737 | − | 22.0378i | −0.298482 | − | 0.862407i | −0.990127 | − | 0.140170i | \(-0.955235\pi\) |
0.691646 | − | 0.722237i | \(-0.256886\pi\) | |||||||
\(654\) | −2.37571 | − | 1.22476i | −0.0928976 | − | 0.0478920i | ||||
\(655\) | −0.396780 | − | 0.504547i | −0.0155035 | − | 0.0197143i | ||||
\(656\) | 6.79480 | − | 16.9726i | 0.265292 | − | 0.662668i | ||||
\(657\) | 4.01449 | + | 6.24667i | 0.156620 | + | 0.243706i | ||||
\(658\) | −2.20504 | + | 5.21932i | −0.0859613 | + | 0.203470i | ||||
\(659\) | −8.13283 | − | 3.71414i | −0.316810 | − | 0.144682i | 0.250663 | − | 0.968075i | \(-0.419352\pi\) |
−0.567473 | + | 0.823392i | \(0.692079\pi\) | |||||||
\(660\) | −30.7063 | + | 15.8302i | −1.19524 | + | 0.616190i | ||||
\(661\) | 5.98707 | + | 5.70866i | 0.232870 | + | 0.222041i | 0.797525 | − | 0.603286i | \(-0.206142\pi\) |
−0.564655 | + | 0.825327i | \(0.690991\pi\) | |||||||
\(662\) | −0.577600 | + | 1.66886i | −0.0224490 | + | 0.0648623i | ||||
\(663\) | 7.66492 | − | 7.30848i | 0.297681 | − | 0.283838i | ||||
\(664\) | −3.74434 | − | 8.19896i | −0.145309 | − | 0.318181i | ||||
\(665\) | −28.6087 | + | 4.95411i | −1.10940 | + | 0.192112i | ||||
\(666\) | − | 1.98858i | − | 0.0770560i | ||||||
\(667\) | 8.47127 | + | 25.0342i | 0.328009 | + | 0.969329i | ||||
\(668\) | −17.1591 | + | 9.90683i | −0.663907 | + | 0.383307i | ||||
\(669\) | −13.7037 | + | 5.48613i | −0.529815 | + | 0.212106i | ||||
\(670\) | 0.0428452 | − | 0.448696i | 0.00165526 | − | 0.0173346i | ||||
\(671\) | 12.4393 | − | 42.3645i | 0.480215 | − | 1.63546i | ||||
\(672\) | −0.118419 | + | 6.25432i | −0.00456813 | + | 0.241266i | ||||
\(673\) | −26.5613 | + | 7.79909i | −1.02386 | + | 0.300633i | −0.750212 | − | 0.661197i | \(-0.770049\pi\) |
−0.273649 | + | 0.961830i | \(0.588231\pi\) | |||||||
\(674\) | −1.18491 | − | 2.29840i | −0.0456409 | − | 0.0885310i | ||||
\(675\) | 0.611366 | + | 6.40252i | 0.0235315 | + | 0.246433i | ||||
\(676\) | −16.2494 | − | 3.13182i | −0.624978 | − | 0.120455i | ||||
\(677\) | 0.358723 | + | 7.53052i | 0.0137868 | + | 0.289421i | 0.995223 | + | 0.0976307i | \(0.0311264\pi\) |
−0.981436 | + | 0.191791i | \(0.938571\pi\) | |||||||
\(678\) | −0.234363 | − | 1.63003i | −0.00900065 | − | 0.0626009i | ||||
\(679\) | 0.744969 | − | 11.1807i | 0.0285893 | − | 0.429076i | ||||
\(680\) | 11.3208 | − | 7.27541i | 0.434131 | − | 0.278999i | ||||
\(681\) | 17.9037 | − | 6.19653i | 0.686071 | − | 0.237451i | ||||
\(682\) | 6.11085 | − | 0.583516i | 0.233997 | − | 0.0223440i | ||||
\(683\) | −0.216300 | + | 4.54070i | −0.00827650 | + | 0.173745i | 0.990944 | + | 0.134274i | \(0.0428703\pi\) |
−0.999221 | + | 0.0394709i | \(0.987433\pi\) | |||||||
\(684\) | 1.49902 | − | 6.17906i | 0.0573166 | − | 0.236262i | ||||
\(685\) | −13.3968 | + | 11.6084i | −0.511867 | + | 0.443535i | ||||
\(686\) | 3.71764 | − | 0.499669i | 0.141940 | − | 0.0190774i | ||||
\(687\) | 17.5429 | − | 8.01157i | 0.669303 | − | 0.305660i | ||||
\(688\) | 27.5330 | − | 35.0111i | 1.04969 | − | 1.33479i | ||||
\(689\) | −1.04542 | − | 1.81072i | −0.0398273 | − | 0.0689829i | ||||
\(690\) | −2.85545 | + | 1.62240i | −0.108705 | + | 0.0617638i | ||||
\(691\) | −25.6091 | − | 14.7854i | −0.974217 | − | 0.562464i | −0.0736976 | − | 0.997281i | \(-0.523480\pi\) |
−0.900519 | + | 0.434816i | \(0.856813\pi\) | |||||||
\(692\) | 29.5128 | + | 4.24329i | 1.12191 | + | 0.161306i | ||||
\(693\) | −13.4700 | + | 2.99896i | −0.511682 | + | 0.113921i | ||||
\(694\) | −2.05767 | − | 0.604186i | −0.0781080 | − | 0.0229346i | ||||
\(695\) | 1.79977 | + | 9.33808i | 0.0682691 | + | 0.354214i | ||||
\(696\) | −3.04931 | + | 3.19802i | −0.115584 | + | 0.121221i | ||||
\(697\) | −24.1360 | − | 1.14974i | −0.914217 | − | 0.0435495i | ||||
\(698\) | −1.10963 | + | 0.790163i | −0.0420001 | + | 0.0299081i | ||||
\(699\) | −1.34517 | − | 1.16559i | −0.0508788 | − | 0.0440868i | ||||
\(700\) | 5.36784 | − | 32.9000i | 0.202885 | − | 1.24350i | ||||
\(701\) | 7.33742 | − | 1.05496i | 0.277131 | − | 0.0398454i | −0.00234816 | − | 0.999997i | \(-0.500747\pi\) |
0.279479 | + | 0.960152i | \(0.409838\pi\) | |||||||
\(702\) | −0.401192 | − | 0.160613i | −0.0151420 | − | 0.00606195i | ||||
\(703\) | 14.6025 | − | 28.3249i | 0.550743 | − | 1.06829i | ||||
\(704\) | −6.94153 | + | 36.0161i | −0.261619 | + | 1.35741i | ||||
\(705\) | 20.7369 | + | 29.1209i | 0.780997 | + | 1.09676i | ||||
\(706\) | −1.28701 | + | 2.00263i | −0.0484373 | + | 0.0753699i | ||||
\(707\) | 17.9038 | − | 12.2452i | 0.673342 | − | 0.460527i | ||||
\(708\) | 5.67797 | + | 6.55273i | 0.213391 | + | 0.246267i | ||||
\(709\) | −14.6434 | − | 15.3576i | −0.549945 | − | 0.576766i | 0.388824 | − | 0.921312i | \(-0.372881\pi\) |
−0.938769 | + | 0.344546i | \(0.888033\pi\) | |||||||
\(710\) | 4.45366 | − | 6.25430i | 0.167143 | − | 0.234720i | ||||
\(711\) | 3.96950 | + | 9.91534i | 0.148868 | + | 0.371854i | ||||
\(712\) | 3.46962 | − | 6.00956i | 0.130030 | − | 0.225218i | ||||
\(713\) | −27.6111 | + | 3.77542i | −1.03404 | + | 0.141391i | ||||
\(714\) | 2.52960 | − | 0.822218i | 0.0946678 | − | 0.0307708i | ||||
\(715\) | −5.35491 | + | 37.2442i | −0.200262 | + | 1.39285i | ||||
\(716\) | −9.36664 | − | 0.894406i | −0.350048 | − | 0.0334255i | ||||
\(717\) | −24.7980 | + | 6.01592i | −0.926097 | + | 0.224669i | ||||
\(718\) | 3.85170 | + | 1.33308i | 0.143744 | + | 0.0497503i | ||||
\(719\) | 10.3020 | + | 2.49925i | 0.384201 | + | 0.0932062i | 0.423208 | − | 0.906033i | \(-0.360904\pi\) |
−0.0390064 | + | 0.999239i | \(0.512419\pi\) | |||||||
\(720\) | 10.6821 | + | 6.86494i | 0.398097 | + | 0.255841i | ||||
\(721\) | 2.74624 | + | 6.32778i | 0.102275 | + | 0.235659i | ||||
\(722\) | 1.12280 | − | 1.29577i | 0.0417861 | − | 0.0482237i | ||||
\(723\) | −18.0207 | + | 0.858433i | −0.670198 | + | 0.0319255i | ||||
\(724\) | 7.78276 | − | 6.12043i | 0.289244 | − | 0.227464i | ||||
\(725\) | 27.8603 | − | 21.9095i | 1.03470 | − | 0.813700i | ||||
\(726\) | 3.27838 | − | 0.156169i | 0.121672 | − | 0.00579596i | ||||
\(727\) | 8.47920 | − | 9.78551i | 0.314476 | − | 0.362925i | −0.576403 | − | 0.817166i | \(-0.695544\pi\) |
0.890879 | + | 0.454241i | \(0.150090\pi\) | |||||||
\(728\) | 3.63683 | + | 2.69497i | 0.134790 | + | 0.0998822i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 4.94158 | + | 1.19881i | 0.182896 | + | 0.0443701i | ||||
\(731\) | −55.6309 | − | 19.2540i | −2.05758 | − | 0.712136i | ||||
\(732\) | −16.1157 | + | 3.90962i | −0.595653 | + | 0.144504i | ||||
\(733\) | −18.0134 | − | 1.72007i | −0.665339 | − | 0.0635322i | −0.243078 | − | 0.970007i | \(-0.578157\pi\) |
−0.422261 | + | 0.906474i | \(0.638763\pi\) | |||||||
\(734\) | 0.754174 | − | 5.24540i | 0.0278371 | − | 0.193611i | ||||
\(735\) | 9.62176 | − | 21.6234i | 0.354904 | − | 0.797592i | ||||
\(736\) | −1.69118 | + | 11.2121i | −0.0623377 | + | 0.413284i | ||||
\(737\) | 1.71654 | − | 2.97313i | 0.0632295 | − | 0.109517i | ||||
\(738\) | 0.366446 | + | 0.915339i | 0.0134891 | + | 0.0336941i | ||||
\(739\) | 15.7594 | − | 22.1310i | 0.579720 | − | 0.814102i | −0.415720 | − | 0.909492i | \(-0.636470\pi\) |
0.995440 | + | 0.0953902i | \(0.0304099\pi\) | |||||||
\(740\) | 44.8765 | + | 47.0651i | 1.64969 | + | 1.73015i | ||||
\(741\) | −4.53507 | − | 5.23375i | −0.166600 | − | 0.192267i | ||||
\(742\) | −0.0400105 | − | 0.523586i | −0.00146883 | − | 0.0192214i | ||||
\(743\) | −13.2424 | + | 20.6056i | −0.485818 | + | 0.755948i | −0.994470 | − | 0.105025i | \(-0.966508\pi\) |
0.508652 | + | 0.860972i | \(0.330144\pi\) | |||||||
\(744\) | −2.70274 | − | 3.79546i | −0.0990871 | − | 0.139148i | ||||
\(745\) | −10.8492 | + | 56.2910i | −0.397484 | + | 2.06234i | ||||
\(746\) | −1.82773 | + | 3.54531i | −0.0669181 | + | 0.129803i | ||||
\(747\) | −10.4357 | − | 4.17783i | −0.381823 | − | 0.152859i | ||||
\(748\) | 50.2011 | − | 7.21782i | 1.83553 | − | 0.263910i | ||||
\(749\) | −20.7265 | − | 3.38166i | −0.757329 | − | 0.123563i | ||||
\(750\) | 0.740923 | + | 0.642013i | 0.0270547 | + | 0.0234430i | ||||
\(751\) | −33.5613 | + | 23.8989i | −1.22467 | + | 0.872084i | −0.994871 | − | 0.101154i | \(-0.967746\pi\) |
−0.229799 | + | 0.973238i | \(0.573807\pi\) | |||||||
\(752\) | 39.6644 | + | 1.88945i | 1.44641 | + | 0.0689011i | ||||
\(753\) | 15.8255 | − | 16.5973i | 0.576713 | − | 0.604839i | ||||
\(754\) | 0.450695 | + | 2.33843i | 0.0164133 | + | 0.0851605i | ||||
\(755\) | 55.0845 | + | 16.1743i | 2.00473 | + | 0.588642i | ||||
\(756\) | 3.50501 | + | 3.81813i | 0.127476 | + | 0.138864i | ||||
\(757\) | 2.46383 | + | 0.354245i | 0.0895494 | + | 0.0128753i | 0.186944 | − | 0.982371i | \(-0.440142\pi\) |
−0.0973944 | + | 0.995246i | \(0.531051\pi\) | |||||||
\(758\) | 2.29580 | + | 1.32548i | 0.0833872 | + | 0.0481436i | ||||
\(759\) | −24.9168 | + | 2.20571i | −0.904422 | + | 0.0800623i | ||||
\(760\) | −4.39972 | − | 7.62054i | −0.159595 | − | 0.276426i | ||||
\(761\) | 4.92663 | − | 6.26471i | 0.178590 | − | 0.227096i | −0.688514 | − | 0.725223i | \(-0.741736\pi\) |
0.867104 | + | 0.498128i | \(0.165979\pi\) | |||||||
\(762\) | 0.838424 | − | 0.382895i | 0.0303729 | − | 0.0138708i | ||||
\(763\) | 34.9008 | − | 1.00081i | 1.26349 | − | 0.0362319i | ||||
\(764\) | 2.30443 | − | 1.99680i | 0.0833713 | − | 0.0722417i | ||||
\(765\) | 3.95664 | − | 16.3095i | 0.143052 | − | 0.589670i | ||||
\(766\) | 0.0298681 | − | 0.627008i | 0.00107918 | − | 0.0226547i | ||||
\(767\) | 9.40088 | − | 0.897675i | 0.339446 | − | 0.0324132i | ||||
\(768\) | 12.1133 | − | 4.19244i | 0.437100 | − | 0.151282i | ||||
\(769\) | 21.5092 | − | 13.8231i | 0.775641 | − | 0.498474i | −0.0919435 | − | 0.995764i | \(-0.529308\pi\) |
0.867584 | + | 0.497290i | \(0.165672\pi\) | |||||||
\(770\) | −5.25866 | + | 7.85174i | −0.189509 | + | 0.282957i | ||||
\(771\) | 0.916010 | + | 6.37099i | 0.0329893 | + | 0.229446i | ||||
\(772\) | −0.899667 | − | 18.8863i | −0.0323797 | − | 0.679734i | ||||
\(773\) | 32.1624 | + | 6.19880i | 1.15680 | + | 0.222955i | 0.731335 | − | 0.682019i | \(-0.238898\pi\) |
0.425467 | + | 0.904974i | \(0.360110\pi\) | |||||||
\(774\) | 0.228332 | + | 2.39120i | 0.00820723 | + | 0.0859500i | ||||
\(775\) | 17.1255 | + | 33.2189i | 0.615168 | + | 1.19326i | ||||
\(776\) | 3.25847 | − | 0.956774i | 0.116972 | − | 0.0343462i | ||||
\(777\) | 12.5602 | + | 22.7384i | 0.450594 | + | 0.815735i | ||||
\(778\) | −1.26660 | + | 4.31363i | −0.0454097 | + | 0.154651i | ||||
\(779\) | −1.50191 | + | 15.7287i | −0.0538116 | + | 0.563540i | ||||
\(780\) | 13.1198 | − | 5.25239i | 0.469766 | − | 0.188066i | ||||
\(781\) | 50.6452 | − | 29.2400i | 1.81223 | − | 1.04629i | ||||
\(782\) | 4.74048 | − | 0.879740i | 0.169519 | − | 0.0314594i | ||||
\(783\) | 5.51076i | 0.196939i | ||||||||
\(784\) | −12.2732 | − | 23.2481i | −0.438328 | − | 0.830289i | ||||
\(785\) | 10.2252 | + | 22.3900i | 0.364952 | + | 0.799133i | ||||
\(786\) | 0.0278280 | − | 0.0265340i | 0.000992593 | − | 0.000946435i | ||||
\(787\) | 5.13376 | − | 14.8330i | 0.182999 | − | 0.528740i | −0.815769 | − | 0.578379i | \(-0.803686\pi\) |
0.998767 | + | 0.0496384i | \(0.0158069\pi\) | |||||||
\(788\) | 9.34807 | + | 8.91336i | 0.333011 | + | 0.317525i | ||||
\(789\) | 4.54408 | − | 2.34264i | 0.161774 | − | 0.0834001i | ||||
\(790\) | 6.65296 | + | 3.03831i | 0.236702 | + | 0.108098i | ||||
\(791\) | 12.9753 | + | 17.1582i | 0.461349 | + | 0.610077i | ||||
\(792\) | −2.26111 | − | 3.51836i | −0.0803452 | − | 0.125020i | ||||
\(793\) | −6.71290 | + | 16.7680i | −0.238382 | + | 0.595450i | ||||
\(794\) | 2.26680 | + | 2.88246i | 0.0804456 | + | 0.102295i | ||||
\(795\) | −2.94490 | − | 1.51820i | −0.104445 | − | 0.0538451i | ||||
\(796\) | −10.5135 | − | 30.3768i | −0.372642 | − | 1.07668i | ||||
\(797\) | −17.2677 | + | 37.8109i | −0.611652 | + | 1.33933i | 0.309787 | + | 0.950806i | \(0.399742\pi\) |
−0.921438 | + | 0.388524i | \(0.872985\pi\) | |||||||
\(798\) | −0.458329 | − | 1.67779i | −0.0162247 | − | 0.0593933i | ||||
\(799\) | −14.7863 | − | 50.3576i | −0.523102 | − | 1.78152i | ||||
\(800\) | 14.9317 | − | 2.87786i | 0.527917 | − | 0.101748i | ||||
\(801\) | −2.04028 | − | 8.41014i | −0.0720897 | − | 0.297158i | ||||
\(802\) | 4.63797 | + | 3.30268i | 0.163772 | + | 0.116622i | ||||
\(803\) | 30.4437 | + | 23.9412i | 1.07433 | + | 0.844865i | ||||
\(804\) | −1.28941 | −0.0454739 | ||||||||
\(805\) | 22.4032 | − | 36.5867i | 0.789609 | − | 1.28951i | ||||
\(806\) | −2.51116 | −0.0884519 | ||||||||
\(807\) | 10.3185 | + | 8.11457i | 0.363229 | + | 0.285647i | ||||
\(808\) | 5.35487 | + | 3.81318i | 0.188384 | + | 0.134147i | ||||
\(809\) | 2.08287 | + | 8.58569i | 0.0732297 | + | 0.301857i | 0.996635 | − | 0.0819699i | \(-0.0261211\pi\) |
−0.923405 | + | 0.383827i | \(0.874606\pi\) | |||||||
\(810\) | −0.672422 | + | 0.129599i | −0.0236265 | + | 0.00455363i | ||||
\(811\) | −7.39071 | − | 25.1704i | −0.259523 | − | 0.883853i | −0.981423 | − | 0.191856i | \(-0.938549\pi\) |
0.721900 | − | 0.691997i | \(-0.243269\pi\) | |||||||
\(812\) | 7.25802 | − | 27.6245i | 0.254707 | − | 0.969431i | ||||
\(813\) | 1.29312 | − | 2.83153i | 0.0453516 | − | 0.0993063i | ||||
\(814\) | −3.39238 | − | 9.80164i | −0.118903 | − | 0.343547i | ||||
\(815\) | −38.4497 | − | 19.8222i | −1.34683 | − | 0.694341i | ||||
\(816\) | −11.5233 | − | 14.6531i | −0.403397 | − | 0.512961i | ||||
\(817\) | −14.3067 | + | 35.7364i | −0.500528 | + | 1.25026i | ||||
\(818\) | −1.65673 | − | 2.57792i | −0.0579261 | − | 0.0901348i | ||||
\(819\) | 5.60188 | − | 0.697463i | 0.195745 | − | 0.0243713i | ||||
\(820\) | −29.3294 | − | 13.3943i | −1.02423 | − | 0.467749i | ||||
\(821\) | −10.0494 | + | 5.18085i | −0.350728 | + | 0.180813i | −0.624584 | − | 0.780958i | \(-0.714731\pi\) |
0.273856 | + | 0.961771i | \(0.411701\pi\) | |||||||
\(822\) | −0.768523 | − | 0.732785i | −0.0268053 | − | 0.0255588i | ||||
\(823\) | −3.52701 | + | 10.1906i | −0.122944 | + | 0.355223i | −0.989632 | − | 0.143628i | \(-0.954123\pi\) |
0.866688 | + | 0.498851i | \(0.166244\pi\) | |||||||
\(824\) | −1.51302 | + | 1.44266i | −0.0527086 | + | 0.0502575i | ||||
\(825\) | 13.9356 | + | 30.5148i | 0.485176 | + | 1.06239i | ||||
\(826\) | 2.22623 | + | 0.818018i | 0.0774605 | + | 0.0284625i | ||||
\(827\) | 42.0207i | 1.46120i | 0.682805 | + | 0.730601i | \(0.260760\pi\) | ||||
−0.682805 | + | 0.730601i | \(0.739240\pi\) | |||||||
\(828\) | 5.39661 | + | 7.69034i | 0.187545 | + | 0.267258i | ||||
\(829\) | −34.9534 | + | 20.1804i | −1.21398 | + | 0.700893i | −0.963624 | − | 0.267260i | \(-0.913882\pi\) |
−0.250358 | + | 0.968153i | \(0.580548\pi\) | |||||||
\(830\) | −7.14635 | + | 2.86097i | −0.248053 | + | 0.0993056i | ||||
\(831\) | 1.60108 | − | 16.7672i | 0.0555407 | − | 0.581649i | ||||
\(832\) | 4.22722 | − | 14.3966i | 0.146553 | − | 0.499112i | ||||
\(833\) | −23.7313 | + | 25.3789i | −0.822242 | + | 0.879328i | ||||
\(834\) | −0.546604 | + | 0.160497i | −0.0189274 | + | 0.00555757i | ||||
\(835\) | 15.6700 | + | 30.3956i | 0.542284 | + | 1.05188i | ||||
\(836\) | −3.15241 | − | 33.0135i | −0.109028 | − | 1.14180i | ||||
\(837\) | −5.70588 | − | 1.09972i | −0.197224 | − | 0.0380118i | ||||
\(838\) | 0.149307 | + | 3.13434i | 0.00515773 | + | 0.108274i | ||||
\(839\) | 2.39918 | + | 16.6867i | 0.0828289 | + | 0.576088i | 0.988398 | + | 0.151888i | \(0.0485354\pi\) |
−0.905569 | + | 0.424200i | \(0.860555\pi\) | |||||||
\(840\) | 7.15702 | + | 0.476872i | 0.246941 | + | 0.0164536i | ||||
\(841\) | 1.15125 | − | 0.739861i | 0.0396981 | − | 0.0255124i | ||||
\(842\) | −7.18175 | + | 2.48563i | −0.247499 | + | 0.0856604i | ||||
\(843\) | −9.80359 | + | 0.936129i | −0.337654 | + | 0.0322420i | ||||
\(844\) | 2.24504 | − | 47.1291i | 0.0772773 | − | 1.62225i | ||||
\(845\) | −6.73365 | + | 27.7565i | −0.231645 | + | 0.954853i | ||||
\(846\) | −1.61847 | + | 1.40241i | −0.0556442 | + | 0.0482159i | ||||
\(847\) | −36.5002 | + | 22.4925i | −1.25416 | + | 0.772850i | ||||
\(848\) | −3.34761 | + | 1.52880i | −0.114957 | + | 0.0524993i | ||||
\(849\) | −18.1370 | + | 23.0631i | −0.622461 | + | 0.791523i | ||||
\(850\) | −3.23298 | − | 5.59968i | −0.110890 | − | 0.192068i | ||||
\(851\) | 17.1981 | + | 43.8338i | 0.589543 | + | 1.50260i | ||||
\(852\) | −19.0215 | − | 10.9821i | −0.651667 | − | 0.376240i | ||||
\(853\) | 8.60875 | + | 1.23775i | 0.294758 | + | 0.0423798i | 0.288107 | − | 0.957598i | \(-0.406974\pi\) |
0.00665049 | + | 0.999978i | \(0.497883\pi\) | |||||||
\(854\) | −3.34168 | + | 3.06764i | −0.114350 | + | 0.104972i | ||||
\(855\) | −10.5295 | − | 3.09173i | −0.360100 | − | 0.105735i | ||||
\(856\) | −1.20451 | − | 6.24960i | −0.0411693 | − | 0.213607i | ||||
\(857\) | 13.8131 | − | 14.4868i | 0.471846 | − | 0.494858i | −0.444202 | − | 0.895927i | \(-0.646513\pi\) |
0.916048 | + | 0.401069i | \(0.131361\pi\) | |||||||
\(858\) | −2.25145 | − | 0.107250i | −0.0768634 | − | 0.00366145i | ||||
\(859\) | −45.9135 | + | 32.6949i | −1.56655 | + | 1.11553i | −0.624020 | + | 0.781409i | \(0.714501\pi\) |
−0.942529 | + | 0.334125i | \(0.891559\pi\) | |||||||
\(860\) | −59.3665 | − | 51.4414i | −2.02438 | − | 1.75414i | ||||
\(861\) | −9.97153 | − | 8.15188i | −0.339829 | − | 0.277815i | ||||
\(862\) | 5.40506 | − | 0.777130i | 0.184097 | − | 0.0264692i | ||||
\(863\) | −37.8093 | − | 15.1366i | −1.28705 | − | 0.515255i | −0.375640 | − | 0.926766i | \(-0.622577\pi\) |
−0.911405 | + | 0.411510i | \(0.865001\pi\) | |||||||
\(864\) | −1.08340 | + | 2.10150i | −0.0368580 | + | 0.0714946i | ||||
\(865\) | 9.73905 | − | 50.5310i | 0.331137 | − | 1.71810i | ||||
\(866\) | −2.04456 | − | 2.87118i | −0.0694768 | − | 0.0975666i | ||||
\(867\) | −4.12947 | + | 6.42558i | −0.140244 | + | 0.218224i | ||||
\(868\) | 27.1542 | + | 13.0277i | 0.921674 | + | 0.442189i | ||||
\(869\) | 36.4804 | + | 42.1006i | 1.23751 | + | 1.42817i | ||||
\(870\) | 2.60419 | + | 2.73119i | 0.0882902 | + | 0.0925961i | ||||
\(871\) | −0.814622 | + | 1.14398i | −0.0276024 | + | 0.0387622i | ||||
\(872\) | 3.93282 | + | 9.82370i | 0.133182 | + | 0.332673i | ||||
\(873\) | 2.11764 | − | 3.66786i | 0.0716712 | − | 0.124138i | ||||
\(874\) | −0.427112 | − | 3.12363i | −0.0144473 | − | 0.105658i | ||||
\(875\) | −12.5271 | − | 2.66130i | −0.423494 | − | 0.0899685i | ||||
\(876\) | 2.07015 | − | 14.3982i | 0.0699439 | − | 0.486470i | ||||
\(877\) | −9.59646 | − | 0.916351i | −0.324050 | − | 0.0309430i | −0.0682362 | − | 0.997669i | \(-0.521737\pi\) |
−0.255813 | + | 0.966726i | \(0.582343\pi\) | |||||||
\(878\) | 2.82950 | − | 0.686429i | 0.0954910 | − | 0.0231659i | ||||
\(879\) | 23.9281 | + | 8.28161i | 0.807076 | + | 0.279332i | ||||
\(880\) | 64.3625 | + | 15.6142i | 2.16966 | + | 0.526354i | ||||
\(881\) | 34.2537 | + | 22.0135i | 1.15404 | + | 0.741655i | 0.970439 | − | 0.241347i | \(-0.0775890\pi\) |
0.183598 | + | 0.983001i | \(0.441225\pi\) | |||||||
\(882\) | 1.34424 | + | 0.450640i | 0.0452631 | + | 0.0151739i | ||||
\(883\) | −31.6467 | + | 36.5223i | −1.06500 | + | 1.22907i | −0.0926090 | + | 0.995703i | \(0.529521\pi\) |
−0.972388 | + | 0.233370i | \(0.925025\pi\) | |||||||
\(884\) | −20.7236 | + | 0.987188i | −0.697011 | + | 0.0332027i | ||||
\(885\) | 11.7631 | − | 9.25058i | 0.395411 | − | 0.310955i | ||||
\(886\) | −4.26796 | + | 3.35636i | −0.143385 | + | 0.112759i | ||||
\(887\) | −26.4373 | + | 1.25936i | −0.887676 | + | 0.0422852i | −0.486465 | − | 0.873700i | \(-0.661714\pi\) |
−0.401212 | + | 0.915985i | \(0.631411\pi\) | |||||||
\(888\) | −5.15556 | + | 5.94983i | −0.173009 | + | 0.199663i | ||||
\(889\) | −7.16851 | + | 9.67381i | −0.240424 | + | 0.324449i | ||||
\(890\) | −4.98552 | − | 3.20400i | −0.167115 | − | 0.107398i | ||||
\(891\) | −5.06880 | − | 1.22968i | −0.169811 | − | 0.0411957i | ||||
\(892\) | 27.3262 | + | 9.45768i | 0.914948 | + | 0.316667i | ||||
\(893\) | −33.3512 | + | 8.09092i | −1.11606 | + | 0.270752i | ||||
\(894\) | −3.41854 | − | 0.326431i | −0.114333 | − | 0.0109175i | ||||
\(895\) | −2.31116 | + | 16.0745i | −0.0772535 | + | 0.537310i | ||||
\(896\) | 10.8916 | − | 12.0990i | 0.363863 | − | 0.404199i | ||||
\(897\) | 10.2324 | + | 0.0706735i | 0.341651 | + | 0.00235972i | ||||
\(898\) | −3.34576 | + | 5.79502i | −0.111649 | + | 0.193382i | ||||
\(899\) | 11.9015 | + | 29.7286i | 0.396938 | + | 0.991504i | ||||
\(900\) | 7.30839 | − | 10.2632i | 0.243613 | − | 0.342107i | ||||
\(901\) | 3.35659 | + | 3.52029i | 0.111824 | + | 0.117278i | ||||
\(902\) | 3.36770 | + | 3.88653i | 0.112132 | + | 0.129407i | ||||
\(903\) | −17.7141 | − | 25.9000i | −0.589487 | − | 0.861897i | ||||
\(904\) | −3.52477 | + | 5.48464i | −0.117232 | + | 0.182417i | ||||
\(905\) | −9.91236 | − | 13.9200i | −0.329498 | − | 0.462715i | ||||
\(906\) | −0.650848 | + | 3.37692i | −0.0216230 | + | 0.112191i | ||||
\(907\) | −20.9816 | + | 40.6987i | −0.696683 | + | 1.35138i | 0.229130 | + | 0.973396i | \(0.426412\pi\) |
−0.925813 | + | 0.377981i | \(0.876618\pi\) | |||||||
\(908\) | −34.4556 | − | 13.7940i | −1.14345 | − | 0.457768i | ||||
\(909\) | 8.11490 | − | 1.16675i | 0.269154 | − | 0.0386985i | ||||
\(910\) | 2.44675 | − | 2.99292i | 0.0811091 | − | 0.0992142i | ||||
\(911\) | 24.5654 | + | 21.2860i | 0.813888 | + | 0.705238i | 0.958761 | − | 0.284212i | \(-0.0917321\pi\) |
−0.144874 | + | 0.989450i | \(0.546278\pi\) | |||||||
\(912\) | −9.92923 | + | 7.07058i | −0.328790 | + | 0.234130i | ||||
\(913\) | −58.5643 | − | 2.78976i | −1.93820 | − | 0.0923276i | ||||
\(914\) | 1.45387 | − | 1.52477i | 0.0480897 | − | 0.0504350i | ||||
\(915\) | 5.41664 | + | 28.1042i | 0.179069 | + | 0.929096i | ||||
\(916\) | −36.2499 | − | 10.6439i | −1.19773 | − | 0.351685i | ||||
\(917\) | −0.150606 | + | 0.479168i | −0.00497346 | + | 0.0158235i | ||||
\(918\) | 0.995103 | + | 0.143074i | 0.0328433 | + | 0.00472215i | ||||
\(919\) | 3.77112 | + | 2.17726i | 0.124398 | + | 0.0718212i | 0.560908 | − | 0.827878i | \(-0.310452\pi\) |
−0.436510 | + | 0.899700i | \(0.643786\pi\) | |||||||
\(920\) | 12.7497 | + | 2.54876i | 0.420345 | + | 0.0840300i | ||||
\(921\) | −9.44842 | − | 16.3651i | −0.311336 | − | 0.539250i | ||||
\(922\) | 0.968437 | − | 1.23147i | 0.0318938 | − | 0.0405562i | ||||
\(923\) | −21.7608 | + | 9.93784i | −0.716267 | + | 0.327108i | ||||
\(924\) | 23.7895 | + | 12.8401i | 0.782617 | + | 0.422408i | ||||
\(925\) | 47.7239 | − | 41.3530i | 1.56915 | − | 1.35968i | ||||
\(926\) | 0.561286 | − | 2.31365i | 0.0184450 | − | 0.0760313i | ||||
\(927\) | −0.124056 | + | 2.60425i | −0.00407453 | + | 0.0855349i | ||||
\(928\) | 12.9703 | − | 1.23851i | 0.425771 | − | 0.0406562i | ||||
\(929\) | 17.7807 | − | 6.15395i | 0.583365 | − | 0.201905i | −0.0194157 | − | 0.999811i | \(-0.506181\pi\) |
0.602781 | + | 0.797907i | \(0.294059\pi\) | |||||||
\(930\) | −3.34758 | + | 2.15136i | −0.109772 | + | 0.0705459i | ||||
\(931\) | 15.8380 | + | 16.2898i | 0.519068 | + | 0.533877i | ||||
\(932\) | 0.496224 | + | 3.45131i | 0.0162544 | + | 0.113052i | ||||
\(933\) | −0.485757 | − | 10.1973i | −0.0159030 | − | 0.333844i | ||||
\(934\) | −6.11457 | − | 1.17849i | −0.200075 | − | 0.0385613i | ||||
\(935\) | −8.32071 | − | 87.1384i | −0.272116 | − | 2.84973i | ||||
\(936\) | 0.783963 | + | 1.52068i | 0.0256246 | + | 0.0497049i | ||||
\(937\) | 15.0317 | − | 4.41371i | 0.491065 | − | 0.144190i | −0.0268193 | − | 0.999640i | \(-0.508538\pi\) |
0.517885 | + | 0.855451i | \(0.326720\pi\) | |||||||
\(938\) | −0.308739 | + | 0.170541i | −0.0100807 | + | 0.00556836i | ||||
\(939\) | 0.850322 | − | 2.89593i | 0.0277492 | − | 0.0945051i | ||||
\(940\) | 6.65707 | − | 69.7159i | 0.217130 | − | 2.27388i | ||||
\(941\) | 38.4103 | − | 15.3772i | 1.25214 | − | 0.501281i | 0.351639 | − | 0.936136i | \(-0.385625\pi\) |
0.900501 | + | 0.434855i | \(0.143200\pi\) | |||||||
\(942\) | −1.27695 | + | 0.737245i | −0.0416051 | + | 0.0240207i | ||||
\(943\) | −15.9937 | − | 17.0074i | −0.520827 | − | 0.553836i | ||||
\(944\) | − | 16.6222i | − | 0.541006i | ||||||
\(945\) | 6.87022 | − | 5.72901i | 0.223488 | − | 0.186365i | ||||
\(946\) | 5.20466 | + | 11.3966i | 0.169218 | + | 0.370536i | ||||
\(947\) | 27.1568 | − | 25.8939i | 0.882476 | − | 0.841440i | −0.105757 | − | 0.994392i | \(-0.533727\pi\) |
0.988234 | + | 0.152952i | \(0.0488781\pi\) | |||||||
\(948\) | 6.84314 | − | 19.7719i | 0.222255 | − | 0.642163i | ||||
\(949\) | −11.4664 | − | 10.9332i | −0.372214 | − | 0.354905i | ||||
\(950\) | −3.75804 | + | 1.93740i | −0.121927 | + | 0.0628576i | ||||
\(951\) | −8.85976 | − | 4.04612i | −0.287298 | − | 0.131204i | ||||
\(952\) | −9.70021 | − | 4.09811i | −0.314386 | − | 0.132820i | ||||
\(953\) | −19.2523 | − | 29.9572i | −0.623644 | − | 0.970409i | −0.999051 | − | 0.0435490i | \(-0.986134\pi\) |
0.375407 | − | 0.926860i | \(-0.377503\pi\) | |||||||
\(954\) | 0.0737652 | − | 0.184257i | 0.00238824 | − | 0.00596553i | ||||
\(955\) | −3.25320 | − | 4.13678i | −0.105271 | − | 0.133863i | ||||
\(956\) | 44.4309 | + | 22.9057i | 1.43700 | + | 0.740824i | ||||
\(957\) | 9.40097 | + | 27.1623i | 0.303890 | + | 0.878033i | ||||
\(958\) | −0.580030 | + | 1.27009i | −0.0187399 | + | 0.0410347i | ||||
\(959\) | 13.4160 | + | 3.52490i | 0.433226 | + | 0.113825i | ||||
\(960\) | −6.69861 | − | 22.8134i | −0.216197 | − | 0.736298i | ||||
\(961\) | −2.71642 | + | 0.523547i | −0.0876265 | + | 0.0168886i | ||||
\(962\) | 1.00031 | + | 4.12335i | 0.0322514 | + | 0.132942i | ||||
\(963\) | −6.46566 | − | 4.60418i | −0.208353 | − | 0.148368i | ||||
\(964\) | 27.7809 | + | 21.8471i | 0.894761 | + | 0.703648i | ||||
\(965\) | −32.6336 | −1.05051 | ||||||||
\(966\) | 2.30932 | + | 1.12762i | 0.0743013 | + | 0.0362807i | ||||
\(967\) | −34.1065 | −1.09679 | −0.548395 | − | 0.836219i | \(-0.684761\pi\) | ||||
−0.548395 | + | 0.836219i | \(0.684761\pi\) | |||||||
\(968\) | −10.2138 | − | 8.03221i | −0.328283 | − | 0.258165i | ||||
\(969\) | 13.1234 | + | 9.34512i | 0.421584 | + | 0.300208i | ||||
\(970\) | −0.683772 | − | 2.81855i | −0.0219546 | − | 0.0904981i | ||||
\(971\) | −13.4500 | + | 2.59228i | −0.431632 | + | 0.0831902i | −0.400439 | − | 0.916323i | \(-0.631143\pi\) |
−0.0311922 | + | 0.999513i | \(0.509930\pi\) | |||||||
\(972\) | 0.551908 | + | 1.87963i | 0.0177025 | + | 0.0602890i | ||||
\(973\) | 5.23640 | − | 5.28764i | 0.167871 | − | 0.169514i | ||||
\(974\) | 2.35218 | − | 5.15056i | 0.0753688 | − | 0.165035i | ||||
\(975\) | −4.48833 | − | 12.9682i | −0.143741 | − | 0.415314i | ||||
\(976\) | 28.2574 | + | 14.5677i | 0.904497 | + | 0.466301i | ||||
\(977\) | 31.1184 | + | 39.5702i | 0.995565 | + | 1.26596i | 0.963844 | + | 0.266468i | \(0.0858565\pi\) |
0.0317215 | + | 0.999497i | \(0.489901\pi\) | |||||||
\(978\) | 0.963105 | − | 2.40572i | 0.0307967 | − | 0.0769264i | ||||
\(979\) | −24.4036 | − | 37.9727i | −0.779941 | − | 1.21361i | ||||
\(980\) | −41.9848 | + | 19.6700i | −1.34115 | + | 0.628337i | ||||
\(981\) | 12.0041 | + | 5.48210i | 0.383262 | + | 0.175030i | ||||
\(982\) | −2.23358 | + | 1.15149i | −0.0712764 | + | 0.0367456i | ||||
\(983\) | −5.86756 | − | 5.59471i | −0.187146 | − | 0.178443i | 0.590714 | − | 0.806881i | \(-0.298846\pi\) |
−0.777860 | + | 0.628438i | \(0.783695\pi\) | |||||||
\(984\) | 1.27668 | − | 3.68873i | 0.0406991 | − | 0.117592i | ||||
\(985\) | 16.1342 | − | 15.3839i | 0.514077 | − | 0.490172i | ||||
\(986\) | −2.30147 | − | 5.03951i | −0.0732937 | − | 0.160491i | ||||
\(987\) | 9.64850 | − | 26.2583i | 0.307115 | − | 0.835812i | ||||
\(988\) | 13.5664i | 0.431605i | ||||||||
\(989\) | −25.7132 | − | 50.7339i | −0.817632 | − | 1.61325i | ||||
\(990\) | −3.09325 | + | 1.78589i | −0.0983100 | + | 0.0567593i | ||||
\(991\) | 25.1532 | − | 10.0698i | 0.799017 | − | 0.319878i | 0.0640198 | − | 0.997949i | \(-0.479608\pi\) |
0.734997 | + | 0.678071i | \(0.237184\pi\) | |||||||
\(992\) | −1.30596 | + | 13.6767i | −0.0414644 | + | 0.434235i | ||||
\(993\) | 2.45651 | − | 8.36610i | 0.0779550 | − | 0.265490i | ||||
\(994\) | −6.00708 | − | 0.113738i | −0.190533 | − | 0.00360756i | ||||
\(995\) | −53.2325 | + | 15.6305i | −1.68758 | + | 0.495519i | ||||
\(996\) | 10.0905 | + | 19.5728i | 0.319729 | + | 0.620188i | ||||
\(997\) | 1.12876 | + | 11.8209i | 0.0357482 | + | 0.374372i | 0.995589 | + | 0.0938256i | \(0.0299096\pi\) |
−0.959840 | + | 0.280546i | \(0.909484\pi\) | |||||||
\(998\) | −4.82965 | − | 0.930839i | −0.152880 | − | 0.0294652i | ||||
\(999\) | 0.467173 | + | 9.80717i | 0.0147807 | + | 0.310285i |
(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 | 483.2.bf.a.61.16 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.199.17 | yes | 640 | |
23.20 | odd | 22 | inner | 483.2.bf.a.250.17 | yes | 640 | |
161.66 | even | 66 | inner | 483.2.bf.a.388.16 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.16 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.199.17 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.250.17 | yes | 640 | 23.20 | odd | 22 | inner | |
483.2.bf.a.388.16 | yes | 640 | 161.66 | even | 66 | inner |