Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(67,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.v (of order \(9\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 67.4 | ||
Character | \(\chi\) | \(=\) | 378.67 |
Dual form | 378.2.v.a.79.4 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | −0.921674 | − | 1.46646i | −0.532129 | − | 0.846663i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.622926 | − | 3.53279i | 0.278581 | − | 1.57991i | −0.448770 | − | 0.893647i | \(-0.648138\pi\) |
0.727351 | − | 0.686265i | \(-0.240751\pi\) | |||||||
\(6\) | 1.64867 | + | 0.530936i | 0.673066 | + | 0.216754i | ||||
\(7\) | 2.63270 | + | 0.262455i | 0.995068 | + | 0.0991986i | ||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −1.30103 | + | 2.70320i | −0.433678 | + | 0.901068i | ||||
\(10\) | 1.79365 | + | 3.10668i | 0.567200 | + | 0.982420i | ||||
\(11\) | −0.384477 | − | 2.18048i | −0.115924 | − | 0.657439i | −0.986288 | − | 0.165031i | \(-0.947228\pi\) |
0.870364 | − | 0.492409i | \(-0.163883\pi\) | |||||||
\(12\) | −1.60423 | + | 0.653023i | −0.463102 | + | 0.188512i | ||||
\(13\) | 0.493989 | − | 2.80155i | 0.137008 | − | 0.777011i | −0.836432 | − | 0.548070i | \(-0.815363\pi\) |
0.973440 | − | 0.228941i | \(-0.0735262\pi\) | |||||||
\(14\) | −2.18547 | + | 1.49122i | −0.584091 | + | 0.398544i | ||||
\(15\) | −5.75485 | + | 2.34258i | −1.48590 | + | 0.604852i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 1.79836 | + | 3.11484i | 0.436165 | + | 0.755461i | 0.997390 | − | 0.0722029i | \(-0.0230029\pi\) |
−0.561225 | + | 0.827664i | \(0.689670\pi\) | |||||||
\(18\) | −0.740936 | − | 2.90706i | −0.174640 | − | 0.685201i | ||||
\(19\) | −0.812212 | + | 1.40679i | −0.186334 | + | 0.322740i | −0.944025 | − | 0.329873i | \(-0.892994\pi\) |
0.757691 | + | 0.652613i | \(0.226327\pi\) | |||||||
\(20\) | −3.37095 | − | 1.22693i | −0.753767 | − | 0.274349i | ||||
\(21\) | −2.04161 | − | 4.10266i | −0.445516 | − | 0.895274i | ||||
\(22\) | 1.69611 | + | 1.42321i | 0.361612 | + | 0.303429i | ||||
\(23\) | −6.48380 | − | 5.44055i | −1.35197 | − | 1.13443i | −0.978375 | − | 0.206840i | \(-0.933682\pi\) |
−0.373590 | − | 0.927594i | \(-0.621873\pi\) | |||||||
\(24\) | 0.809158 | − | 1.53143i | 0.165169 | − | 0.312601i | ||||
\(25\) | −7.39412 | − | 2.69124i | −1.47882 | − | 0.538248i | ||||
\(26\) | 1.42239 | + | 2.46364i | 0.278953 | + | 0.483160i | ||||
\(27\) | 5.16328 | − | 0.583554i | 0.993674 | − | 0.112305i | ||||
\(28\) | 0.715631 | − | 2.54713i | 0.135242 | − | 0.481362i | ||||
\(29\) | −1.16849 | − | 6.62686i | −0.216984 | − | 1.23058i | −0.877430 | − | 0.479704i | \(-0.840744\pi\) |
0.660446 | − | 0.750873i | \(-0.270367\pi\) | |||||||
\(30\) | 2.90269 | − | 5.49367i | 0.529955 | − | 1.00300i | ||||
\(31\) | −1.66997 | + | 9.47086i | −0.299935 | + | 1.70102i | 0.346501 | + | 0.938050i | \(0.387370\pi\) |
−0.646436 | + | 0.762968i | \(0.723741\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | −2.84323 | + | 2.57351i | −0.494943 | + | 0.447991i | ||||
\(34\) | −3.37980 | − | 1.23015i | −0.579632 | − | 0.210969i | ||||
\(35\) | 2.56718 | − | 9.13730i | 0.433932 | − | 1.54448i | ||||
\(36\) | 2.43621 | + | 1.75067i | 0.406036 | + | 0.291779i | ||||
\(37\) | 3.04443 | 0.500502 | 0.250251 | − | 0.968181i | \(-0.419487\pi\) | ||||
0.250251 | + | 0.968181i | \(0.419487\pi\) | |||||||
\(38\) | −0.282078 | − | 1.59974i | −0.0457591 | − | 0.259513i | ||||
\(39\) | −4.56367 | + | 1.85770i | −0.730773 | + | 0.297470i | ||||
\(40\) | 3.37095 | − | 1.22693i | 0.532994 | − | 0.193994i | ||||
\(41\) | 1.85372 | − | 10.5129i | 0.289502 | − | 1.64185i | −0.399246 | − | 0.916844i | \(-0.630728\pi\) |
0.688747 | − | 0.725001i | \(-0.258161\pi\) | |||||||
\(42\) | 4.20110 | + | 1.83050i | 0.648245 | + | 0.282452i | ||||
\(43\) | 1.66936 | − | 1.40076i | 0.254575 | − | 0.213614i | −0.506564 | − | 0.862202i | \(-0.669085\pi\) |
0.761140 | + | 0.648588i | \(0.224640\pi\) | |||||||
\(44\) | −2.21412 | −0.333791 | ||||||||
\(45\) | 8.73941 | + | 6.28018i | 1.30279 | + | 0.936194i | ||||
\(46\) | 8.46400 | 1.24795 | ||||||||
\(47\) | 0.870558 | + | 4.93718i | 0.126984 | + | 0.720161i | 0.980110 | + | 0.198456i | \(0.0635928\pi\) |
−0.853126 | + | 0.521705i | \(0.825296\pi\) | |||||||
\(48\) | 0.364530 | + | 1.69326i | 0.0526154 | + | 0.244401i | ||||
\(49\) | 6.86224 | + | 1.38193i | 0.980319 | + | 0.197419i | ||||
\(50\) | 7.39412 | − | 2.69124i | 1.04569 | − | 0.380599i | ||||
\(51\) | 2.91031 | − | 5.50810i | 0.407525 | − | 0.771288i | ||||
\(52\) | −2.67321 | − | 0.972969i | −0.370708 | − | 0.134927i | ||||
\(53\) | −5.55919 | + | 9.62879i | −0.763613 | + | 1.32262i | 0.177364 | + | 0.984145i | \(0.443243\pi\) |
−0.940977 | + | 0.338471i | \(0.890090\pi\) | |||||||
\(54\) | −3.58020 | + | 3.76592i | −0.487204 | + | 0.512477i | ||||
\(55\) | −7.94268 | −1.07099 | ||||||||
\(56\) | 1.08906 | + | 2.41121i | 0.145532 | + | 0.322212i | ||||
\(57\) | 2.81160 | − | 0.105524i | 0.372406 | − | 0.0139771i | ||||
\(58\) | 5.15478 | + | 4.32538i | 0.676856 | + | 0.567950i | ||||
\(59\) | 1.89952 | − | 0.691370i | 0.247297 | − | 0.0900087i | −0.215398 | − | 0.976526i | \(-0.569105\pi\) |
0.462695 | + | 0.886518i | \(0.346883\pi\) | |||||||
\(60\) | 1.30768 | + | 6.07420i | 0.168820 | + | 0.784176i | ||||
\(61\) | −0.386180 | − | 2.19013i | −0.0494452 | − | 0.280418i | 0.950053 | − | 0.312088i | \(-0.101028\pi\) |
−0.999498 | + | 0.0316704i | \(0.989917\pi\) | |||||||
\(62\) | −4.80848 | − | 8.32854i | −0.610678 | − | 1.05773i | ||||
\(63\) | −4.13470 | + | 6.77527i | −0.520923 | + | 0.853603i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −9.58958 | − | 3.49032i | −1.18944 | − | 0.432921i | ||||
\(66\) | 0.523819 | − | 3.79902i | 0.0644777 | − | 0.467627i | ||||
\(67\) | −3.49657 | − | 2.93397i | −0.427174 | − | 0.358442i | 0.403710 | − | 0.914887i | \(-0.367720\pi\) |
−0.830884 | + | 0.556445i | \(0.812165\pi\) | |||||||
\(68\) | 3.37980 | − | 1.23015i | 0.409861 | − | 0.149177i | ||||
\(69\) | −2.00243 | + | 14.5227i | −0.241064 | + | 1.74832i | ||||
\(70\) | 3.90677 | + | 8.64972i | 0.466948 | + | 1.03384i | ||||
\(71\) | −3.66979 | + | 6.35627i | −0.435524 | + | 0.754351i | −0.997338 | − | 0.0729132i | \(-0.976770\pi\) |
0.561814 | + | 0.827264i | \(0.310104\pi\) | |||||||
\(72\) | −2.99156 | + | 0.224874i | −0.352559 | + | 0.0265016i | ||||
\(73\) | 3.88508 | 0.454714 | 0.227357 | − | 0.973811i | \(-0.426992\pi\) | ||||
0.227357 | + | 0.973811i | \(0.426992\pi\) | |||||||
\(74\) | −2.33217 | + | 1.95692i | −0.271109 | + | 0.227488i | ||||
\(75\) | 2.86836 | + | 13.3236i | 0.331210 | + | 1.53848i | ||||
\(76\) | 1.24438 | + | 1.04416i | 0.142740 | + | 0.119773i | ||||
\(77\) | −0.439937 | − | 5.84146i | −0.0501355 | − | 0.665696i | ||||
\(78\) | 2.30187 | − | 4.35655i | 0.260635 | − | 0.493283i | ||||
\(79\) | 0.121652 | − | 0.102078i | 0.0136869 | − | 0.0114847i | −0.635919 | − | 0.771756i | \(-0.719379\pi\) |
0.649605 | + | 0.760272i | \(0.274934\pi\) | |||||||
\(80\) | −1.79365 | + | 3.10668i | −0.200536 | + | 0.347338i | ||||
\(81\) | −5.61462 | − | 7.03392i | −0.623847 | − | 0.781546i | ||||
\(82\) | 5.33756 | + | 9.24492i | 0.589435 | + | 1.02093i | ||||
\(83\) | 2.54125 | + | 14.4121i | 0.278938 | + | 1.58194i | 0.726168 | + | 0.687517i | \(0.241300\pi\) |
−0.447230 | + | 0.894419i | \(0.647589\pi\) | |||||||
\(84\) | −4.39485 | + | 1.29818i | −0.479518 | + | 0.141643i | ||||
\(85\) | 12.1243 | − | 4.41290i | 1.31507 | − | 0.478646i | ||||
\(86\) | −0.378414 | + | 2.14609i | −0.0408054 | + | 0.231419i | ||||
\(87\) | −8.64108 | + | 7.82136i | −0.926421 | + | 0.838538i | ||||
\(88\) | 1.69611 | − | 1.42321i | 0.180806 | − | 0.151714i | ||||
\(89\) | 6.94314 | − | 12.0259i | 0.735972 | − | 1.27474i | −0.218324 | − | 0.975876i | \(-0.570059\pi\) |
0.954296 | − | 0.298864i | \(-0.0966077\pi\) | |||||||
\(90\) | −10.7316 | + | 0.806688i | −1.13121 | + | 0.0850323i | ||||
\(91\) | 2.03581 | − | 7.24600i | 0.213411 | − | 0.759587i | ||||
\(92\) | −6.48380 | + | 5.44055i | −0.675983 | + | 0.567217i | ||||
\(93\) | 15.4278 | − | 6.28010i | 1.59979 | − | 0.651216i | ||||
\(94\) | −3.84044 | − | 3.22251i | −0.396111 | − | 0.332377i | ||||
\(95\) | 4.46395 | + | 3.74570i | 0.457992 | + | 0.384301i | ||||
\(96\) | −1.36765 | − | 1.06279i | −0.139585 | − | 0.108471i | ||||
\(97\) | −0.437555 | + | 0.367152i | −0.0444270 | + | 0.0372787i | −0.664731 | − | 0.747083i | \(-0.731454\pi\) |
0.620304 | + | 0.784362i | \(0.287009\pi\) | |||||||
\(98\) | −6.14506 | + | 3.35234i | −0.620745 | + | 0.338637i | ||||
\(99\) | 6.39450 | + | 1.79756i | 0.642671 | + | 0.180661i | ||||
\(100\) | −3.93433 | + | 6.81445i | −0.393433 | + | 0.681445i | ||||
\(101\) | 9.15880 | − | 7.68514i | 0.911334 | − | 0.764700i | −0.0610380 | − | 0.998135i | \(-0.519441\pi\) |
0.972372 | + | 0.233435i | \(0.0749967\pi\) | |||||||
\(102\) | 1.31111 | + | 6.09016i | 0.129819 | + | 0.603015i | ||||
\(103\) | 1.08510 | − | 6.15392i | 0.106918 | − | 0.606364i | −0.883519 | − | 0.468396i | \(-0.844832\pi\) |
0.990437 | − | 0.137967i | \(-0.0440569\pi\) | |||||||
\(104\) | 2.67321 | − | 0.972969i | 0.262130 | − | 0.0954075i | ||||
\(105\) | −15.7656 | + | 4.65694i | −1.53857 | + | 0.454470i | ||||
\(106\) | −1.93069 | − | 10.9495i | −0.187525 | − | 1.06351i | ||||
\(107\) | 4.96674 | + | 8.60265i | 0.480153 | + | 0.831649i | 0.999741 | − | 0.0227676i | \(-0.00724779\pi\) |
−0.519588 | + | 0.854417i | \(0.673914\pi\) | |||||||
\(108\) | 0.321906 | − | 5.18617i | 0.0309754 | − | 0.499040i | ||||
\(109\) | 4.26967 | − | 7.39528i | 0.408960 | − | 0.708340i | −0.585813 | − | 0.810446i | \(-0.699225\pi\) |
0.994773 | + | 0.102106i | \(0.0325582\pi\) | |||||||
\(110\) | 6.08445 | − | 5.10546i | 0.580129 | − | 0.486786i | ||||
\(111\) | −2.80598 | − | 4.46455i | −0.266331 | − | 0.423756i | ||||
\(112\) | −2.38417 | − | 1.14706i | −0.225282 | − | 0.108387i | ||||
\(113\) | 1.86575 | + | 1.56555i | 0.175515 | + | 0.147274i | 0.726313 | − | 0.687364i | \(-0.241232\pi\) |
−0.550798 | + | 0.834638i | \(0.685677\pi\) | |||||||
\(114\) | −2.08598 | + | 1.88810i | −0.195370 | + | 0.176837i | ||||
\(115\) | −23.2593 | + | 19.5168i | −2.16894 | + | 1.81995i | ||||
\(116\) | −6.72909 | −0.624780 | ||||||||
\(117\) | 6.93047 | + | 4.98027i | 0.640722 | + | 0.460426i | ||||
\(118\) | −1.01072 | + | 1.75061i | −0.0930439 | + | 0.161157i | ||||
\(119\) | 3.91703 | + | 8.67244i | 0.359074 | + | 0.795002i | ||||
\(120\) | −4.90616 | − | 3.81255i | −0.447869 | − | 0.348037i | ||||
\(121\) | 5.72995 | − | 2.08553i | 0.520905 | − | 0.189594i | ||||
\(122\) | 1.70362 | + | 1.42951i | 0.154239 | + | 0.129422i | ||||
\(123\) | −17.1254 | + | 6.97110i | −1.54414 | + | 0.628563i | ||||
\(124\) | 9.03699 | + | 3.28920i | 0.811546 | + | 0.295379i | ||||
\(125\) | −5.14535 | + | 8.91200i | −0.460214 | + | 0.797114i | ||||
\(126\) | −1.18769 | − | 7.84789i | −0.105808 | − | 0.699146i | ||||
\(127\) | 5.79857 | + | 10.0434i | 0.514540 | + | 0.891209i | 0.999858 | + | 0.0168715i | \(0.00537064\pi\) |
−0.485318 | + | 0.874338i | \(0.661296\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | −3.59278 | − | 1.15701i | −0.316326 | − | 0.101869i | ||||
\(130\) | 9.58958 | − | 3.49032i | 0.841062 | − | 0.306122i | ||||
\(131\) | 10.4009 | + | 8.72743i | 0.908735 | + | 0.762519i | 0.971878 | − | 0.235486i | \(-0.0756681\pi\) |
−0.0631433 | + | 0.998004i | \(0.520113\pi\) | |||||||
\(132\) | 2.04069 | + | 3.24692i | 0.177620 | + | 0.282608i | ||||
\(133\) | −2.50753 | + | 3.49049i | −0.217430 | + | 0.302664i | ||||
\(134\) | 4.56445 | 0.394309 | ||||||||
\(135\) | 1.15477 | − | 18.6043i | 0.0993867 | − | 1.60120i | ||||
\(136\) | −1.79836 | + | 3.11484i | −0.154208 | + | 0.267096i | ||||
\(137\) | 13.1544 | + | 4.78780i | 1.12385 | + | 0.409049i | 0.836057 | − | 0.548642i | \(-0.184855\pi\) |
0.287797 | + | 0.957692i | \(0.407077\pi\) | |||||||
\(138\) | −7.80105 | − | 12.4121i | −0.664069 | − | 1.05659i | ||||
\(139\) | 17.5833 | − | 6.39980i | 1.49140 | − | 0.542824i | 0.537580 | − | 0.843213i | \(-0.319339\pi\) |
0.953817 | + | 0.300389i | \(0.0971164\pi\) | |||||||
\(140\) | −8.55269 | − | 4.11485i | −0.722835 | − | 0.347768i | ||||
\(141\) | 6.43782 | − | 5.82711i | 0.542163 | − | 0.490731i | ||||
\(142\) | −1.27451 | − | 7.22808i | −0.106954 | − | 0.606567i | ||||
\(143\) | −6.29865 | −0.526720 | ||||||||
\(144\) | 2.14712 | − | 2.09520i | 0.178927 | − | 0.174600i | ||||
\(145\) | −24.1392 | −2.00465 | ||||||||
\(146\) | −2.97614 | + | 2.49728i | −0.246307 | + | 0.206676i | ||||
\(147\) | −4.29819 | − | 11.3369i | −0.354509 | − | 0.935053i | ||||
\(148\) | 0.528660 | − | 2.99818i | 0.0434556 | − | 0.246449i | ||||
\(149\) | −10.7910 | + | 3.92759i | −0.884029 | + | 0.321760i | −0.743835 | − | 0.668364i | \(-0.766995\pi\) |
−0.140195 | + | 0.990124i | \(0.544773\pi\) | |||||||
\(150\) | −10.7616 | − | 8.36276i | −0.878678 | − | 0.682817i | ||||
\(151\) | −0.595949 | − | 3.37980i | −0.0484977 | − | 0.275044i | 0.950910 | − | 0.309469i | \(-0.100151\pi\) |
−0.999407 | + | 0.0344248i | \(0.989040\pi\) | |||||||
\(152\) | −1.62442 | −0.131758 | ||||||||
\(153\) | −10.7598 | + | 0.808806i | −0.869877 | + | 0.0653881i | ||||
\(154\) | 4.09183 | + | 4.19203i | 0.329729 | + | 0.337804i | ||||
\(155\) | 32.4183 | + | 11.7993i | 2.60390 | + | 0.947743i | ||||
\(156\) | 1.03700 | + | 4.81693i | 0.0830268 | + | 0.385663i | ||||
\(157\) | 17.4323 | − | 6.34482i | 1.39125 | − | 0.506372i | 0.465678 | − | 0.884954i | \(-0.345810\pi\) |
0.925568 | + | 0.378582i | \(0.123588\pi\) | |||||||
\(158\) | −0.0275762 | + | 0.156392i | −0.00219384 | + | 0.0124419i | ||||
\(159\) | 19.2440 | − | 0.722263i | 1.52615 | − | 0.0572792i | ||||
\(160\) | −0.622926 | − | 3.53279i | −0.0492467 | − | 0.279292i | ||||
\(161\) | −15.6420 | − | 16.0251i | −1.23276 | − | 1.26295i | ||||
\(162\) | 8.82237 | + | 1.77928i | 0.693151 | + | 0.139794i | ||||
\(163\) | −6.60017 | − | 11.4318i | −0.516965 | − | 0.895409i | −0.999806 | − | 0.0197014i | \(-0.993728\pi\) |
0.482841 | − | 0.875708i | \(-0.339605\pi\) | |||||||
\(164\) | −10.0313 | − | 3.65111i | −0.783315 | − | 0.285103i | ||||
\(165\) | 7.32056 | + | 11.6477i | 0.569905 | + | 0.906769i | ||||
\(166\) | −11.2106 | − | 9.40685i | −0.870115 | − | 0.730113i | ||||
\(167\) | −1.07295 | − | 0.900314i | −0.0830276 | − | 0.0696684i | 0.600329 | − | 0.799753i | \(-0.295036\pi\) |
−0.683357 | + | 0.730085i | \(0.739481\pi\) | |||||||
\(168\) | 2.53220 | − | 3.81942i | 0.195364 | − | 0.294675i | ||||
\(169\) | 4.61133 | + | 1.67839i | 0.354718 | + | 0.129107i | ||||
\(170\) | −6.45123 | + | 11.1739i | −0.494786 | + | 0.856995i | ||||
\(171\) | −2.74613 | − | 4.02586i | −0.210002 | − | 0.307865i | ||||
\(172\) | −1.08960 | − | 1.88724i | −0.0830812 | − | 0.143901i | ||||
\(173\) | 4.66599 | + | 1.69828i | 0.354748 | + | 0.129118i | 0.513246 | − | 0.858242i | \(-0.328443\pi\) |
−0.158498 | + | 0.987359i | \(0.550665\pi\) | |||||||
\(174\) | 1.59198 | − | 11.5459i | 0.120688 | − | 0.875292i | ||||
\(175\) | −18.7602 | − | 9.02585i | −1.41814 | − | 0.682290i | ||||
\(176\) | −0.384477 | + | 2.18048i | −0.0289811 | + | 0.164360i | ||||
\(177\) | −2.76461 | − | 2.14837i | −0.207801 | − | 0.161481i | ||||
\(178\) | 2.41133 | + | 13.6753i | 0.180737 | + | 1.02501i | ||||
\(179\) | −9.73284 | − | 16.8578i | −0.727467 | − | 1.26001i | −0.957951 | − | 0.286933i | \(-0.907364\pi\) |
0.230484 | − | 0.973076i | \(-0.425969\pi\) | |||||||
\(180\) | 7.70235 | − | 7.51609i | 0.574099 | − | 0.560217i | ||||
\(181\) | −8.24448 | − | 14.2799i | −0.612807 | − | 1.06141i | −0.990765 | − | 0.135590i | \(-0.956707\pi\) |
0.377958 | − | 0.925823i | \(-0.376626\pi\) | |||||||
\(182\) | 3.09812 | + | 6.85935i | 0.229648 | + | 0.508449i | ||||
\(183\) | −2.85582 | + | 2.58491i | −0.211108 | + | 0.191082i | ||||
\(184\) | 1.46976 | − | 8.33541i | 0.108352 | − | 0.614495i | ||||
\(185\) | 1.89646 | − | 10.7553i | 0.139430 | − | 0.790749i | ||||
\(186\) | −7.78165 | + | 14.7277i | −0.570578 | + | 1.07988i | ||||
\(187\) | 6.10043 | − | 5.11887i | 0.446107 | − | 0.374329i | ||||
\(188\) | 5.01334 | 0.365636 | ||||||||
\(189\) | 13.7465 | − | 0.181196i | 0.999913 | − | 0.0131801i | ||||
\(190\) | −5.82728 | −0.422755 | ||||||||
\(191\) | 2.70272 | − | 2.26785i | 0.195562 | − | 0.164096i | −0.539748 | − | 0.841826i | \(-0.681481\pi\) |
0.735311 | + | 0.677730i | \(0.237036\pi\) | |||||||
\(192\) | 1.73083 | − | 0.0649612i | 0.124912 | − | 0.00468817i | ||||
\(193\) | −1.12568 | + | 6.38403i | −0.0810280 | + | 0.459533i | 0.917115 | + | 0.398622i | \(0.130511\pi\) |
−0.998143 | + | 0.0609104i | \(0.980600\pi\) | |||||||
\(194\) | 0.0991856 | − | 0.562510i | 0.00712111 | − | 0.0403858i | ||||
\(195\) | 3.72004 | + | 17.2797i | 0.266397 | + | 1.23743i | ||||
\(196\) | 2.55255 | − | 6.51801i | 0.182325 | − | 0.465572i | ||||
\(197\) | 2.61375 | + | 4.52715i | 0.186222 | + | 0.322546i | 0.943988 | − | 0.329981i | \(-0.107042\pi\) |
−0.757766 | + | 0.652527i | \(0.773709\pi\) | |||||||
\(198\) | −6.05392 | + | 2.73330i | −0.430233 | + | 0.194247i | ||||
\(199\) | 6.79144 | + | 11.7631i | 0.481433 | + | 0.833866i | 0.999773 | − | 0.0213088i | \(-0.00678332\pi\) |
−0.518340 | + | 0.855174i | \(0.673450\pi\) | |||||||
\(200\) | −1.36638 | − | 7.74911i | −0.0966175 | − | 0.547945i | ||||
\(201\) | −1.07987 | + | 7.83177i | −0.0761678 | + | 0.552410i | ||||
\(202\) | −2.07613 | + | 11.7743i | −0.146076 | + | 0.828438i | ||||
\(203\) | −1.33705 | − | 17.7532i | −0.0938423 | − | 1.24603i | ||||
\(204\) | −4.91905 | − | 3.82257i | −0.344402 | − | 0.267633i | ||||
\(205\) | −35.9853 | − | 13.0976i | −2.51332 | − | 0.914775i | ||||
\(206\) | 3.12443 | + | 5.41166i | 0.217689 | + | 0.377049i | ||||
\(207\) | 23.1426 | − | 10.4487i | 1.60852 | − | 0.726234i | ||||
\(208\) | −1.42239 | + | 2.46364i | −0.0986247 | + | 0.170823i | ||||
\(209\) | 3.37976 | + | 1.23013i | 0.233783 | + | 0.0850899i | ||||
\(210\) | 9.08374 | − | 13.7014i | 0.626838 | − | 0.945484i | ||||
\(211\) | −11.5932 | − | 9.72788i | −0.798112 | − | 0.669695i | 0.149627 | − | 0.988742i | \(-0.452193\pi\) |
−0.947739 | + | 0.319047i | \(0.896637\pi\) | |||||||
\(212\) | 8.51717 | + | 7.14675i | 0.584962 | + | 0.490841i | ||||
\(213\) | 12.7036 | − | 0.476788i | 0.870436 | − | 0.0326690i | ||||
\(214\) | −9.33442 | − | 3.39745i | −0.638088 | − | 0.232245i | ||||
\(215\) | −3.90871 | − | 6.77008i | −0.266572 | − | 0.461716i | ||||
\(216\) | 3.08701 | + | 4.17975i | 0.210045 | + | 0.284396i | ||||
\(217\) | −6.88220 | + | 24.4957i | −0.467194 | + | 1.66287i | ||||
\(218\) | 1.48284 | + | 8.40961i | 0.100431 | + | 0.569570i | ||||
\(219\) | −3.58078 | − | 5.69733i | −0.241967 | − | 0.384990i | ||||
\(220\) | −1.37923 | + | 7.82201i | −0.0929878 | + | 0.527360i | ||||
\(221\) | 9.61477 | − | 3.49949i | 0.646759 | − | 0.235401i | ||||
\(222\) | 5.01926 | + | 1.61640i | 0.336871 | + | 0.108486i | ||||
\(223\) | 3.65517 | + | 1.33037i | 0.244768 | + | 0.0890883i | 0.461491 | − | 0.887145i | \(-0.347315\pi\) |
−0.216723 | + | 0.976233i | \(0.569537\pi\) | |||||||
\(224\) | 2.56370 | − | 0.653810i | 0.171294 | − | 0.0436845i | ||||
\(225\) | 16.8950 | − | 16.4864i | 1.12633 | − | 1.09909i | ||||
\(226\) | −2.43556 | −0.162011 | ||||||||
\(227\) | 0.632952 | + | 3.58965i | 0.0420105 | + | 0.238254i | 0.998581 | − | 0.0532463i | \(-0.0169568\pi\) |
−0.956571 | + | 0.291500i | \(0.905846\pi\) | |||||||
\(228\) | 0.384309 | − | 2.78721i | 0.0254515 | − | 0.184588i | ||||
\(229\) | −16.2918 | + | 5.92974i | −1.07659 | + | 0.391848i | −0.818639 | − | 0.574308i | \(-0.805271\pi\) |
−0.257956 | + | 0.966157i | \(0.583049\pi\) | |||||||
\(230\) | 5.27245 | − | 29.9015i | 0.347655 | − | 1.97165i | ||||
\(231\) | −8.16081 | + | 6.02907i | −0.536942 | + | 0.396684i | ||||
\(232\) | 5.15478 | − | 4.32538i | 0.338428 | − | 0.283975i | ||||
\(233\) | 14.5827 | 0.955344 | 0.477672 | − | 0.878538i | \(-0.341481\pi\) | ||||
0.477672 | + | 0.878538i | \(0.341481\pi\) | |||||||
\(234\) | −8.51030 | + | 0.639714i | −0.556336 | + | 0.0418194i | ||||
\(235\) | 17.9843 | 1.17317 | ||||||||
\(236\) | −0.351018 | − | 1.99072i | −0.0228493 | − | 0.129585i | ||||
\(237\) | −0.261817 | − | 0.0843152i | −0.0170068 | − | 0.00547686i | ||||
\(238\) | −8.57516 | − | 4.12566i | −0.555845 | − | 0.267427i | ||||
\(239\) | −0.222801 | + | 0.0810929i | −0.0144118 | + | 0.00524546i | −0.349216 | − | 0.937042i | \(-0.613552\pi\) |
0.334804 | + | 0.942288i | \(0.391330\pi\) | |||||||
\(240\) | 6.20900 | − | 0.233035i | 0.400789 | − | 0.0150423i | ||||
\(241\) | 5.97573 | + | 2.17499i | 0.384930 | + | 0.140103i | 0.527235 | − | 0.849720i | \(-0.323229\pi\) |
−0.142304 | + | 0.989823i | \(0.545451\pi\) | |||||||
\(242\) | −3.04884 | + | 5.28075i | −0.195987 | + | 0.339460i | ||||
\(243\) | −5.14014 | + | 14.7166i | −0.329740 | + | 0.944072i | ||||
\(244\) | −2.22392 | −0.142372 | ||||||||
\(245\) | 9.15674 | − | 23.3820i | 0.585003 | − | 1.49382i | ||||
\(246\) | 8.63786 | − | 16.3481i | 0.550730 | − | 1.04232i | ||||
\(247\) | 3.53998 | + | 2.97039i | 0.225243 | + | 0.189002i | ||||
\(248\) | −9.03699 | + | 3.28920i | −0.573850 | + | 0.208864i | ||||
\(249\) | 18.7927 | − | 17.0099i | 1.19094 | − | 1.07796i | ||||
\(250\) | −1.78696 | − | 10.1344i | −0.113017 | − | 0.640953i | ||||
\(251\) | 3.41197 | + | 5.90971i | 0.215362 | + | 0.373018i | 0.953384 | − | 0.301758i | \(-0.0975735\pi\) |
−0.738023 | + | 0.674776i | \(0.764240\pi\) | |||||||
\(252\) | 5.95435 | + | 5.24840i | 0.375089 | + | 0.330618i | ||||
\(253\) | −9.37014 | + | 16.2296i | −0.589096 | + | 1.02034i | ||||
\(254\) | −10.8977 | − | 3.96646i | −0.683786 | − | 0.248878i | ||||
\(255\) | −17.6460 | − | 13.7127i | −1.10504 | − | 0.858720i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −22.4243 | + | 8.16176i | −1.39879 | + | 0.509117i | −0.927818 | − | 0.373033i | \(-0.878318\pi\) |
−0.470968 | + | 0.882150i | \(0.656095\pi\) | |||||||
\(258\) | 3.49594 | − | 1.42307i | 0.217648 | − | 0.0885963i | ||||
\(259\) | 8.01508 | + | 0.799026i | 0.498033 | + | 0.0496490i | ||||
\(260\) | −5.10251 | + | 8.83781i | −0.316444 | + | 0.548097i | ||||
\(261\) | 19.4340 | + | 5.46309i | 1.20293 | + | 0.338157i | ||||
\(262\) | −13.5775 | −0.838819 | ||||||||
\(263\) | −22.2804 | + | 18.6955i | −1.37387 | + | 1.15281i | −0.402450 | + | 0.915442i | \(0.631841\pi\) |
−0.971419 | + | 0.237371i | \(0.923714\pi\) | |||||||
\(264\) | −3.65034 | − | 1.17555i | −0.224663 | − | 0.0723504i | ||||
\(265\) | 30.5536 | + | 25.6375i | 1.87689 | + | 1.57490i | ||||
\(266\) | −0.322767 | − | 4.28568i | −0.0197901 | − | 0.262772i | ||||
\(267\) | −24.0348 | + | 0.902070i | −1.47091 | + | 0.0552058i | ||||
\(268\) | −3.49657 | + | 2.93397i | −0.213587 | + | 0.179221i | ||||
\(269\) | −6.95270 | + | 12.0424i | −0.423913 | + | 0.734239i | −0.996318 | − | 0.0857317i | \(-0.972677\pi\) |
0.572405 | + | 0.819971i | \(0.306011\pi\) | |||||||
\(270\) | 11.0740 | + | 14.9940i | 0.673943 | + | 0.912506i | ||||
\(271\) | −13.9492 | − | 24.1607i | −0.847352 | − | 1.46766i | −0.883563 | − | 0.468312i | \(-0.844862\pi\) |
0.0362113 | − | 0.999344i | \(-0.488471\pi\) | |||||||
\(272\) | −0.624563 | − | 3.54207i | −0.0378697 | − | 0.214770i | ||||
\(273\) | −12.5024 | + | 3.69301i | −0.756677 | + | 0.223511i | ||||
\(274\) | −13.1544 | + | 4.78780i | −0.794685 | + | 0.289242i | ||||
\(275\) | −3.02532 | + | 17.1574i | −0.182434 | + | 1.03463i | ||||
\(276\) | 13.9543 | + | 4.49384i | 0.839952 | + | 0.270497i | ||||
\(277\) | −14.4006 | + | 12.0836i | −0.865250 | + | 0.726031i | −0.963092 | − | 0.269171i | \(-0.913250\pi\) |
0.0978421 | + | 0.995202i | \(0.468806\pi\) | |||||||
\(278\) | −9.35588 | + | 16.2049i | −0.561129 | + | 0.971903i | ||||
\(279\) | −23.4290 | − | 16.8362i | −1.40266 | − | 1.00796i | ||||
\(280\) | 9.19672 | − | 2.34541i | 0.549609 | − | 0.140165i | ||||
\(281\) | −3.57699 | + | 3.00145i | −0.213385 | + | 0.179052i | −0.743215 | − | 0.669052i | \(-0.766700\pi\) |
0.529830 | + | 0.848104i | \(0.322256\pi\) | |||||||
\(282\) | −1.18606 | + | 8.60198i | −0.0706291 | + | 0.512240i | ||||
\(283\) | 1.19203 | + | 1.00023i | 0.0708587 | + | 0.0594575i | 0.677529 | − | 0.735496i | \(-0.263051\pi\) |
−0.606670 | + | 0.794953i | \(0.707495\pi\) | |||||||
\(284\) | 5.62245 | + | 4.71780i | 0.333631 | + | 0.279950i | ||||
\(285\) | 1.37863 | − | 9.99854i | 0.0816628 | − | 0.592263i | ||||
\(286\) | 4.82505 | − | 4.04870i | 0.285311 | − | 0.239404i | ||||
\(287\) | 7.63945 | − | 27.1909i | 0.450942 | − | 1.60503i | ||||
\(288\) | −0.298022 | + | 2.98516i | −0.0175611 | + | 0.175902i | ||||
\(289\) | 2.03183 | − | 3.51923i | 0.119519 | − | 0.207014i | ||||
\(290\) | 18.4917 | − | 15.5164i | 1.08587 | − | 0.911153i | ||||
\(291\) | 0.941698 | + | 0.303264i | 0.0552033 | + | 0.0177776i | ||||
\(292\) | 0.674637 | − | 3.82606i | 0.0394802 | − | 0.223903i | ||||
\(293\) | −4.88736 | + | 1.77885i | −0.285523 | + | 0.103922i | −0.480811 | − | 0.876824i | \(-0.659658\pi\) |
0.195289 | + | 0.980746i | \(0.437436\pi\) | |||||||
\(294\) | 10.5798 | + | 5.92175i | 0.617028 | + | 0.345364i | ||||
\(295\) | −1.25920 | − | 7.14129i | −0.0733136 | − | 0.415782i | ||||
\(296\) | 1.52222 | + | 2.63656i | 0.0884770 | + | 0.153247i | ||||
\(297\) | −3.25759 | − | 11.0341i | −0.189025 | − | 0.640261i | ||||
\(298\) | 5.74175 | − | 9.94500i | 0.332610 | − | 0.576098i | ||||
\(299\) | −18.4449 | + | 15.4771i | −1.06670 | + | 0.895065i | ||||
\(300\) | 13.6193 | − | 0.511157i | 0.786312 | − | 0.0295117i | ||||
\(301\) | 4.76257 | − | 3.24966i | 0.274510 | − | 0.187307i | ||||
\(302\) | 2.62901 | + | 2.20600i | 0.151283 | + | 0.126941i | ||||
\(303\) | −19.7114 | − | 6.34785i | −1.13239 | − | 0.364674i | ||||
\(304\) | 1.24438 | − | 1.04416i | 0.0713701 | − | 0.0598866i | ||||
\(305\) | −7.97784 | −0.456810 | ||||||||
\(306\) | 7.72258 | − | 7.53584i | 0.441471 | − | 0.430795i | ||||
\(307\) | −3.18238 | + | 5.51205i | −0.181628 | + | 0.314589i | −0.942435 | − | 0.334389i | \(-0.891470\pi\) |
0.760807 | + | 0.648978i | \(0.224803\pi\) | |||||||
\(308\) | −5.82911 | − | 0.581105i | −0.332144 | − | 0.0331116i | ||||
\(309\) | −10.0246 | + | 4.08064i | −0.570280 | + | 0.232140i | ||||
\(310\) | −32.4183 | + | 11.7993i | −1.84124 | + | 0.670155i | ||||
\(311\) | 11.3066 | + | 9.48735i | 0.641138 | + | 0.537978i | 0.904367 | − | 0.426755i | \(-0.140343\pi\) |
−0.263230 | + | 0.964733i | \(0.584788\pi\) | |||||||
\(312\) | −3.89065 | − | 3.02341i | −0.220265 | − | 0.171167i | ||||
\(313\) | −1.04392 | − | 0.379956i | −0.0590059 | − | 0.0214764i | 0.312349 | − | 0.949968i | \(-0.398884\pi\) |
−0.371354 | + | 0.928491i | \(0.621107\pi\) | |||||||
\(314\) | −9.27551 | + | 16.0657i | −0.523447 | + | 0.906638i | ||||
\(315\) | 21.3600 | + | 18.8275i | 1.20350 | + | 1.06081i | ||||
\(316\) | −0.0794025 | − | 0.137529i | −0.00446674 | − | 0.00773662i | ||||
\(317\) | 4.74013 | + | 26.8826i | 0.266232 | + | 1.50988i | 0.765503 | + | 0.643433i | \(0.222490\pi\) |
−0.499270 | + | 0.866446i | \(0.666399\pi\) | |||||||
\(318\) | −14.2775 | + | 12.9231i | −0.800644 | + | 0.724692i | ||||
\(319\) | −14.0005 | + | 5.09576i | −0.783876 | + | 0.285308i | ||||
\(320\) | 2.74802 | + | 2.30587i | 0.153619 | + | 0.128902i | ||||
\(321\) | 8.03776 | − | 15.2124i | 0.448624 | − | 0.849073i | ||||
\(322\) | 22.2832 | + | 2.22142i | 1.24179 | + | 0.123795i | ||||
\(323\) | −5.84258 | −0.325090 | ||||||||
\(324\) | −7.90203 | + | 4.30790i | −0.439001 | + | 0.239328i | ||||
\(325\) | −11.1923 | + | 19.3856i | −0.620835 | + | 1.07532i | ||||
\(326\) | 12.4043 | + | 4.51478i | 0.687008 | + | 0.250050i | ||||
\(327\) | −14.7802 | + | 0.554725i | −0.817345 | + | 0.0306764i | ||||
\(328\) | 10.0313 | − | 3.65111i | 0.553888 | − | 0.201599i | ||||
\(329\) | 0.996133 | + | 13.2266i | 0.0549186 | + | 0.729206i | ||||
\(330\) | −13.0948 | − | 4.21705i | −0.720847 | − | 0.232141i | ||||
\(331\) | −4.58932 | − | 26.0273i | −0.252252 | − | 1.43059i | −0.803029 | − | 0.595939i | \(-0.796780\pi\) |
0.550777 | − | 0.834652i | \(-0.314331\pi\) | |||||||
\(332\) | 14.6345 | 0.803170 | ||||||||
\(333\) | −3.96091 | + | 8.22972i | −0.217057 | + | 0.450986i | ||||
\(334\) | 1.40064 | 0.0766396 | ||||||||
\(335\) | −12.5432 | + | 10.5250i | −0.685310 | + | 0.575043i | ||||
\(336\) | 0.515296 | + | 4.55351i | 0.0281117 | + | 0.248414i | ||||
\(337\) | −0.424932 | + | 2.40991i | −0.0231475 | + | 0.131276i | −0.994192 | − | 0.107624i | \(-0.965676\pi\) |
0.971044 | + | 0.238900i | \(0.0767869\pi\) | |||||||
\(338\) | −4.61133 | + | 1.67839i | −0.250823 | + | 0.0912923i | ||||
\(339\) | 0.576209 | − | 4.17898i | 0.0312954 | − | 0.226971i | ||||
\(340\) | −2.24049 | − | 12.7064i | −0.121507 | − | 0.689103i | ||||
\(341\) | 21.2931 | 1.15309 | ||||||||
\(342\) | 4.69143 | + | 1.31881i | 0.253683 | + | 0.0713129i | ||||
\(343\) | 17.7035 | + | 5.43923i | 0.955900 | + | 0.293691i | ||||
\(344\) | 2.04778 | + | 0.745330i | 0.110409 | + | 0.0401855i | ||||
\(345\) | 50.0582 | + | 16.1207i | 2.69504 | + | 0.867910i | ||||
\(346\) | −4.66599 | + | 1.69828i | −0.250845 | + | 0.0913001i | ||||
\(347\) | −2.30750 | + | 13.0865i | −0.123873 | + | 0.702518i | 0.858098 | + | 0.513486i | \(0.171646\pi\) |
−0.981971 | + | 0.189032i | \(0.939465\pi\) | |||||||
\(348\) | 6.20203 | + | 9.86797i | 0.332464 | + | 0.528979i | ||||
\(349\) | 1.90954 | + | 10.8295i | 0.102215 | + | 0.579691i | 0.992296 | + | 0.123889i | \(0.0395365\pi\) |
−0.890081 | + | 0.455802i | \(0.849352\pi\) | |||||||
\(350\) | 20.1728 | − | 5.14461i | 1.07828 | − | 0.274991i | ||||
\(351\) | 0.915748 | − | 14.7535i | 0.0488790 | − | 0.787482i | ||||
\(352\) | −1.10706 | − | 1.91748i | −0.0590064 | − | 0.102202i | ||||
\(353\) | 14.8145 | + | 5.39203i | 0.788496 | + | 0.286989i | 0.704711 | − | 0.709495i | \(-0.251077\pi\) |
0.0837852 | + | 0.996484i | \(0.473299\pi\) | |||||||
\(354\) | 3.49876 | − | 0.131315i | 0.185957 | − | 0.00697929i | ||||
\(355\) | 20.1694 | + | 16.9241i | 1.07048 | + | 0.898238i | ||||
\(356\) | −10.6375 | − | 8.92593i | −0.563787 | − | 0.473074i | ||||
\(357\) | 9.10760 | − | 13.7373i | 0.482025 | − | 0.727058i | ||||
\(358\) | 18.2918 | + | 6.65766i | 0.966749 | + | 0.351868i | ||||
\(359\) | 0.954843 | − | 1.65384i | 0.0503947 | − | 0.0872861i | −0.839728 | − | 0.543008i | \(-0.817285\pi\) |
0.890122 | + | 0.455722i | \(0.150619\pi\) | |||||||
\(360\) | −1.06909 | + | 10.7086i | −0.0563460 | + | 0.564395i | ||||
\(361\) | 8.18062 | + | 14.1693i | 0.430559 | + | 0.745750i | ||||
\(362\) | 15.4945 | + | 5.63955i | 0.814375 | + | 0.296408i | ||||
\(363\) | −8.33951 | − | 6.48059i | −0.437711 | − | 0.340143i | ||||
\(364\) | −6.78240 | − | 3.26313i | −0.355495 | − | 0.171035i | ||||
\(365\) | 2.42012 | − | 13.7252i | 0.126675 | − | 0.718409i | ||||
\(366\) | 0.526138 | − | 3.81584i | 0.0275017 | − | 0.199457i | ||||
\(367\) | −3.96624 | − | 22.4937i | −0.207036 | − | 1.17416i | −0.894203 | − | 0.447661i | \(-0.852257\pi\) |
0.687167 | − | 0.726499i | \(-0.258854\pi\) | |||||||
\(368\) | 4.23200 | + | 7.33004i | 0.220608 | + | 0.382105i | ||||
\(369\) | 26.0069 | + | 18.6887i | 1.35386 | + | 0.972893i | ||||
\(370\) | 5.46063 | + | 9.45809i | 0.283885 | + | 0.491703i | ||||
\(371\) | −17.1628 | + | 23.8907i | −0.891048 | + | 1.24034i | ||||
\(372\) | −3.50567 | − | 16.2840i | −0.181761 | − | 0.844286i | ||||
\(373\) | 4.46783 | − | 25.3383i | 0.231335 | − | 1.31197i | −0.618860 | − | 0.785501i | \(-0.712405\pi\) |
0.850196 | − | 0.526467i | \(-0.176484\pi\) | |||||||
\(374\) | −1.38285 | + | 7.84256i | −0.0715057 | + | 0.405529i | ||||
\(375\) | 17.8115 | − | 0.668495i | 0.919780 | − | 0.0345210i | ||||
\(376\) | −3.84044 | + | 3.22251i | −0.198056 | + | 0.166188i | ||||
\(377\) | −19.1427 | −0.985900 | ||||||||
\(378\) | −10.4140 | + | 8.97491i | −0.535638 | + | 0.461619i | ||||
\(379\) | 3.07838 | 0.158126 | 0.0790629 | − | 0.996870i | \(-0.474807\pi\) | ||||
0.0790629 | + | 0.996870i | \(0.474807\pi\) | |||||||
\(380\) | 4.46395 | − | 3.74570i | 0.228996 | − | 0.192150i | ||||
\(381\) | 9.38392 | − | 17.7602i | 0.480753 | − | 0.909880i | ||||
\(382\) | −0.612658 | + | 3.47456i | −0.0313463 | + | 0.177774i | ||||
\(383\) | −1.00852 | + | 5.71962i | −0.0515331 | + | 0.292259i | −0.999672 | − | 0.0255964i | \(-0.991852\pi\) |
0.948139 | + | 0.317855i | \(0.102963\pi\) | |||||||
\(384\) | −1.28414 | + | 1.16232i | −0.0655309 | + | 0.0593144i | ||||
\(385\) | −20.9107 | − | 2.08459i | −1.06571 | − | 0.106241i | ||||
\(386\) | −3.24126 | − | 5.61402i | −0.164976 | − | 0.285746i | ||||
\(387\) | 1.61465 | + | 6.33507i | 0.0820771 | + | 0.322030i | ||||
\(388\) | 0.285594 | + | 0.494663i | 0.0144988 | + | 0.0251127i | ||||
\(389\) | −5.75438 | − | 32.6347i | −0.291759 | − | 1.65465i | −0.680091 | − | 0.733127i | \(-0.738060\pi\) |
0.388332 | − | 0.921519i | \(-0.373051\pi\) | |||||||
\(390\) | −13.9569 | − | 10.8458i | −0.706735 | − | 0.549200i | ||||
\(391\) | 5.28630 | − | 29.9801i | 0.267339 | − | 1.51616i | ||||
\(392\) | 2.23433 | + | 6.63383i | 0.112851 | + | 0.335059i | ||||
\(393\) | 3.21218 | − | 23.2965i | 0.162033 | − | 1.17515i | ||||
\(394\) | −4.91224 | − | 1.78791i | −0.247475 | − | 0.0900736i | ||||
\(395\) | −0.284840 | − | 0.493357i | −0.0143318 | − | 0.0248235i | ||||
\(396\) | 2.88064 | − | 5.98521i | 0.144758 | − | 0.300768i | ||||
\(397\) | −0.469848 | + | 0.813800i | −0.0235810 | + | 0.0408435i | −0.877575 | − | 0.479439i | \(-0.840840\pi\) |
0.853994 | + | 0.520283i | \(0.174173\pi\) | |||||||
\(398\) | −12.7637 | − | 4.64562i | −0.639788 | − | 0.232864i | ||||
\(399\) | 7.42981 | + | 0.460104i | 0.371956 | + | 0.0230340i | ||||
\(400\) | 6.02774 | + | 5.05787i | 0.301387 | + | 0.252894i | ||||
\(401\) | 1.03105 | + | 0.865156i | 0.0514883 | + | 0.0432038i | 0.668169 | − | 0.744010i | \(-0.267078\pi\) |
−0.616680 | + | 0.787214i | \(0.711523\pi\) | |||||||
\(402\) | −4.20694 | − | 6.69360i | −0.209823 | − | 0.333847i | ||||
\(403\) | 25.7082 | + | 9.35701i | 1.28062 | + | 0.466106i | ||||
\(404\) | −5.97798 | − | 10.3542i | −0.297416 | − | 0.515139i | ||||
\(405\) | −28.3469 | + | 15.4537i | −1.40857 | + | 0.767899i | ||||
\(406\) | 12.4358 | + | 12.7403i | 0.617178 | + | 0.632292i | ||||
\(407\) | −1.17052 | − | 6.63832i | −0.0580203 | − | 0.329049i | ||||
\(408\) | 6.22531 | − | 0.233647i | 0.308199 | − | 0.0115672i | ||||
\(409\) | −6.31542 | + | 35.8165i | −0.312277 | + | 1.77101i | 0.274820 | + | 0.961496i | \(0.411382\pi\) |
−0.587097 | + | 0.809516i | \(0.699729\pi\) | |||||||
\(410\) | 35.9853 | − | 13.0976i | 1.77719 | − | 0.646843i | ||||
\(411\) | −5.10291 | − | 23.7032i | −0.251708 | − | 1.16919i | ||||
\(412\) | −5.87200 | − | 2.13723i | −0.289293 | − | 0.105294i | ||||
\(413\) | 5.18233 | − | 1.32163i | 0.255006 | − | 0.0650333i | ||||
\(414\) | −11.0119 | + | 22.8799i | −0.541208 | + | 1.12449i | ||||
\(415\) | 52.4981 | 2.57703 | ||||||||
\(416\) | −0.493989 | − | 2.80155i | −0.0242198 | − | 0.137357i | ||||
\(417\) | −25.5912 | − | 19.8868i | −1.25320 | − | 0.973859i | ||||
\(418\) | −3.37976 | + | 1.23013i | −0.165309 | + | 0.0601677i | ||||
\(419\) | −2.57976 | + | 14.6305i | −0.126029 | + | 0.714748i | 0.854662 | + | 0.519185i | \(0.173765\pi\) |
−0.980691 | + | 0.195563i | \(0.937347\pi\) | |||||||
\(420\) | 1.84852 | + | 16.3348i | 0.0901983 | + | 0.797055i | ||||
\(421\) | −13.0356 | + | 10.9382i | −0.635317 | + | 0.533094i | −0.902576 | − | 0.430531i | \(-0.858326\pi\) |
0.267259 | + | 0.963625i | \(0.413882\pi\) | |||||||
\(422\) | 15.1339 | 0.736707 | ||||||||
\(423\) | −14.4788 | − | 4.07014i | −0.703985 | − | 0.197897i | ||||
\(424\) | −11.1184 | −0.539956 | ||||||||
\(425\) | −4.91447 | − | 27.8713i | −0.238387 | − | 1.35196i | ||||
\(426\) | −9.42505 | + | 8.53096i | −0.456645 | + | 0.413326i | ||||
\(427\) | −0.441885 | − | 5.86732i | −0.0213843 | − | 0.283940i | ||||
\(428\) | 9.33442 | − | 3.39745i | 0.451196 | − | 0.164222i | ||||
\(429\) | 5.80531 | + | 9.23675i | 0.280283 | + | 0.445955i | ||||
\(430\) | 7.34597 | + | 2.67371i | 0.354254 | + | 0.128938i | ||||
\(431\) | 0.143736 | − | 0.248959i | 0.00692354 | − | 0.0119919i | −0.862543 | − | 0.505984i | \(-0.831129\pi\) |
0.869466 | + | 0.493992i | \(0.164463\pi\) | |||||||
\(432\) | −5.05148 | − | 1.21758i | −0.243040 | − | 0.0585811i | ||||
\(433\) | 20.9438 | 1.00649 | 0.503246 | − | 0.864143i | \(-0.332139\pi\) | ||||
0.503246 | + | 0.864143i | \(0.332139\pi\) | |||||||
\(434\) | −10.4734 | − | 23.1886i | −0.502741 | − | 1.11309i | ||||
\(435\) | 22.2485 | + | 35.3993i | 1.06673 | + | 1.69727i | ||||
\(436\) | −6.54151 | − | 5.48898i | −0.313282 | − | 0.262875i | ||||
\(437\) | 12.9199 | − | 4.70247i | 0.618045 | − | 0.224950i | ||||
\(438\) | 6.40521 | + | 2.06273i | 0.306053 | + | 0.0985610i | ||||
\(439\) | 2.35898 | + | 13.3784i | 0.112588 | + | 0.638517i | 0.987916 | + | 0.154988i | \(0.0495340\pi\) |
−0.875329 | + | 0.483529i | \(0.839355\pi\) | |||||||
\(440\) | −3.97134 | − | 6.87856i | −0.189326 | − | 0.327923i | ||||
\(441\) | −12.6636 | + | 16.7521i | −0.603030 | + | 0.797718i | ||||
\(442\) | −5.11591 | + | 8.86102i | −0.243339 | + | 0.421476i | ||||
\(443\) | 26.5312 | + | 9.65658i | 1.26054 | + | 0.458798i | 0.883949 | − | 0.467583i | \(-0.154875\pi\) |
0.376588 | + | 0.926381i | \(0.377097\pi\) | |||||||
\(444\) | −4.88398 | + | 1.98808i | −0.231783 | + | 0.0943503i | ||||
\(445\) | −38.1599 | − | 32.0199i | −1.80895 | − | 1.51789i | ||||
\(446\) | −3.65517 | + | 1.33037i | −0.173077 | + | 0.0629950i | ||||
\(447\) | 15.7054 | + | 12.2046i | 0.742840 | + | 0.577257i | ||||
\(448\) | −1.54364 | + | 2.14876i | −0.0729303 | + | 0.101519i | ||||
\(449\) | 1.63600 | − | 2.83364i | 0.0772078 | − | 0.133728i | −0.824836 | − | 0.565371i | \(-0.808733\pi\) |
0.902044 | + | 0.431644i | \(0.142066\pi\) | |||||||
\(450\) | −2.34503 | + | 23.4892i | −0.110546 | + | 1.10729i | ||||
\(451\) | −23.6360 | −1.11297 | ||||||||
\(452\) | 1.86575 | − | 1.56555i | 0.0877574 | − | 0.0736372i | ||||
\(453\) | −4.40708 | + | 3.98901i | −0.207063 | + | 0.187420i | ||||
\(454\) | −2.79225 | − | 2.34298i | −0.131047 | − | 0.109961i | ||||
\(455\) | −24.3305 | − | 11.7058i | −1.14063 | − | 0.548777i | ||||
\(456\) | 1.49719 | + | 2.38216i | 0.0701123 | + | 0.111555i | ||||
\(457\) | −24.0446 | + | 20.1758i | −1.12476 | + | 0.943784i | −0.998835 | − | 0.0482560i | \(-0.984634\pi\) |
−0.125923 | + | 0.992040i | \(0.540189\pi\) | |||||||
\(458\) | 8.66870 | − | 15.0146i | 0.405062 | − | 0.701588i | ||||
\(459\) | 11.1031 | + | 15.0334i | 0.518248 | + | 0.701698i | ||||
\(460\) | 15.1814 | + | 26.2950i | 0.707837 | + | 1.22601i | ||||
\(461\) | 1.11842 | + | 6.34290i | 0.0520902 | + | 0.295418i | 0.999713 | − | 0.0239747i | \(-0.00763212\pi\) |
−0.947622 | + | 0.319393i | \(0.896521\pi\) | |||||||
\(462\) | 2.37613 | − | 9.86421i | 0.110548 | − | 0.458924i | ||||
\(463\) | −36.0530 | + | 13.1222i | −1.67553 | + | 0.609841i | −0.992686 | − | 0.120727i | \(-0.961477\pi\) |
−0.682839 | + | 0.730568i | \(0.739255\pi\) | |||||||
\(464\) | −1.16849 | + | 6.62686i | −0.0542460 | + | 0.307644i | ||||
\(465\) | −12.5759 | − | 58.4154i | −0.583192 | − | 2.70895i | ||||
\(466\) | −11.1710 | + | 9.37358i | −0.517486 | + | 0.434223i | ||||
\(467\) | −3.09746 | + | 5.36496i | −0.143333 | + | 0.248261i | −0.928750 | − | 0.370707i | \(-0.879115\pi\) |
0.785417 | + | 0.618968i | \(0.212449\pi\) | |||||||
\(468\) | 6.10807 | − | 5.96037i | 0.282346 | − | 0.275518i | ||||
\(469\) | −8.43540 | − | 8.64197i | −0.389511 | − | 0.399049i | ||||
\(470\) | −13.7768 | + | 11.5601i | −0.635476 | + | 0.533227i | ||||
\(471\) | −25.3713 | − | 19.7159i | −1.16905 | − | 0.908462i | ||||
\(472\) | 1.54851 | + | 1.29935i | 0.0712758 | + | 0.0598075i | ||||
\(473\) | −3.69616 | − | 3.10145i | −0.169950 | − | 0.142605i | ||||
\(474\) | 0.254760 | − | 0.103703i | 0.0117015 | − | 0.00476325i | ||||
\(475\) | 9.79160 | − | 8.21613i | 0.449269 | − | 0.376982i | ||||
\(476\) | 9.22087 | − | 2.35157i | 0.422638 | − | 0.107784i | ||||
\(477\) | −18.7959 | − | 27.5550i | −0.860605 | − | 1.26166i | ||||
\(478\) | 0.118550 | − | 0.205334i | 0.00542234 | − | 0.00939177i | ||||
\(479\) | 25.6889 | − | 21.5555i | 1.17376 | − | 0.984898i | 0.173756 | − | 0.984789i | \(-0.444410\pi\) |
1.00000 | 0.000109224i | \(-3.47670e-5\pi\) | ||||||||
\(480\) | −4.60658 | + | 4.16958i | −0.210260 | + | 0.190314i | ||||
\(481\) | 1.50392 | − | 8.52914i | 0.0685727 | − | 0.388895i | ||||
\(482\) | −5.97573 | + | 2.17499i | −0.272187 | + | 0.0990679i | ||||
\(483\) | −9.08333 | + | 37.7083i | −0.413306 | + | 1.71579i | ||||
\(484\) | −1.05885 | − | 6.00505i | −0.0481296 | − | 0.272957i | ||||
\(485\) | 1.02451 | + | 1.77450i | 0.0465205 | + | 0.0805758i | ||||
\(486\) | −5.52209 | − | 14.5776i | −0.250487 | − | 0.661254i | ||||
\(487\) | 7.75756 | − | 13.4365i | 0.351528 | − | 0.608865i | −0.634989 | − | 0.772521i | \(-0.718995\pi\) |
0.986517 | + | 0.163656i | \(0.0523287\pi\) | |||||||
\(488\) | 1.70362 | − | 1.42951i | 0.0771193 | − | 0.0647108i | ||||
\(489\) | −10.6812 | + | 20.2153i | −0.483018 | + | 0.914168i | ||||
\(490\) | 8.01520 | + | 23.7975i | 0.362090 | + | 1.07506i | ||||
\(491\) | −17.5894 | − | 14.7593i | −0.793801 | − | 0.666078i | 0.152882 | − | 0.988244i | \(-0.451144\pi\) |
−0.946683 | + | 0.322167i | \(0.895589\pi\) | |||||||
\(492\) | 3.89140 | + | 18.0757i | 0.175438 | + | 0.814916i | ||||
\(493\) | 18.5403 | − | 15.5571i | 0.835012 | − | 0.700658i | ||||
\(494\) | −4.62111 | −0.207914 | ||||||||
\(495\) | 10.3337 | − | 21.4707i | 0.464465 | − | 0.965035i | ||||
\(496\) | 4.80848 | − | 8.32854i | 0.215907 | − | 0.373962i | ||||
\(497\) | −11.3297 | + | 15.7710i | −0.508207 | + | 0.707426i | ||||
\(498\) | −3.46224 | + | 25.1101i | −0.155147 | + | 1.12521i | ||||
\(499\) | 29.0128 | − | 10.5598i | 1.29879 | − | 0.472721i | 0.402187 | − | 0.915557i | \(-0.368250\pi\) |
0.896602 | + | 0.442837i | \(0.146028\pi\) | |||||||
\(500\) | 7.88313 | + | 6.61473i | 0.352544 | + | 0.295820i | ||||
\(501\) | −0.331366 | + | 2.40324i | −0.0148043 | + | 0.107369i | ||||
\(502\) | −6.41242 | − | 2.33393i | −0.286200 | − | 0.104168i | ||||
\(503\) | 15.5416 | − | 26.9189i | 0.692966 | − | 1.20025i | −0.277895 | − | 0.960611i | \(-0.589637\pi\) |
0.970861 | − | 0.239642i | \(-0.0770299\pi\) | |||||||
\(504\) | −7.93490 | − | 0.193123i | −0.353449 | − | 0.00860240i | ||||
\(505\) | −21.4448 | − | 37.1434i | −0.954279 | − | 1.65286i | ||||
\(506\) | −3.25422 | − | 18.4556i | −0.144668 | − | 0.820450i | ||||
\(507\) | −1.78885 | − | 8.30928i | −0.0794457 | − | 0.369028i | ||||
\(508\) | 10.8977 | − | 3.96646i | 0.483509 | − | 0.175983i | ||||
\(509\) | 5.40896 | + | 4.53865i | 0.239748 | + | 0.201172i | 0.754743 | − | 0.656021i | \(-0.227762\pi\) |
−0.514995 | + | 0.857193i | \(0.672206\pi\) | |||||||
\(510\) | 22.3320 | − | 0.838158i | 0.988877 | − | 0.0371143i | ||||
\(511\) | 10.2283 | + | 1.01966i | 0.452471 | + | 0.0451070i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −3.37274 | + | 7.73763i | −0.148910 | + | 0.341625i | ||||
\(514\) | 11.9317 | − | 20.6663i | 0.526285 | − | 0.911552i | ||||
\(515\) | −21.0646 | − | 7.66688i | −0.928216 | − | 0.337843i | ||||
\(516\) | −1.76332 | + | 3.33728i | −0.0776257 | + | 0.146916i | ||||
\(517\) | 10.4307 | − | 3.79647i | 0.458742 | − | 0.166968i | ||||
\(518\) | −6.65351 | + | 4.53991i | −0.292339 | + | 0.199472i | ||||
\(519\) | −1.81005 | − | 8.40776i | −0.0794525 | − | 0.369060i | ||||
\(520\) | −1.77208 | − | 10.0500i | −0.0777110 | − | 0.440721i | ||||
\(521\) | −7.23543 | −0.316990 | −0.158495 | − | 0.987360i | \(-0.550664\pi\) | ||||
−0.158495 | + | 0.987360i | \(0.550664\pi\) | |||||||
\(522\) | −18.3989 | + | 8.30697i | −0.805299 | + | 0.363586i | ||||
\(523\) | −17.2665 | −0.755010 | −0.377505 | − | 0.926008i | \(-0.623218\pi\) | ||||
−0.377505 | + | 0.926008i | \(0.623218\pi\) | |||||||
\(524\) | 10.4009 | − | 8.72743i | 0.454367 | − | 0.381259i | ||||
\(525\) | 4.05468 | + | 35.8300i | 0.176961 | + | 1.56375i | ||||
\(526\) | 5.05056 | − | 28.6431i | 0.220215 | − | 1.24890i | ||||
\(527\) | −32.5035 | + | 11.8303i | −1.41587 | + | 0.515336i | ||||
\(528\) | 3.55196 | − | 1.44587i | 0.154579 | − | 0.0629234i | ||||
\(529\) | 8.44612 | + | 47.9003i | 0.367222 | + | 2.08262i | ||||
\(530\) | −39.8848 | −1.73249 | ||||||||
\(531\) | −0.602430 | + | 6.03429i | −0.0261432 | + | 0.261866i | ||||
\(532\) | 3.00204 | + | 3.07555i | 0.130155 | + | 0.133342i | ||||
\(533\) | −28.5368 | − | 10.3866i | −1.23607 | − | 0.449892i | ||||
\(534\) | 17.8319 | − | 16.1403i | 0.771662 | − | 0.698460i | ||||
\(535\) | 33.4853 | − | 12.1876i | 1.44769 | − | 0.526918i | ||||
\(536\) | 0.792609 | − | 4.49511i | 0.0342355 | − | 0.194159i | ||||
\(537\) | −15.7508 | + | 29.8102i | −0.679698 | + | 1.28641i | ||||
\(538\) | −2.41465 | − | 13.6941i | −0.104103 | − | 0.590396i | ||||
\(539\) | 0.374895 | − | 15.4943i | 0.0161479 | − | 0.667386i | ||||
\(540\) | −18.1211 | − | 4.36783i | −0.779810 | − | 0.187961i | ||||
\(541\) | 5.96279 | + | 10.3279i | 0.256360 | + | 0.444029i | 0.965264 | − | 0.261276i | \(-0.0841433\pi\) |
−0.708904 | + | 0.705305i | \(0.750810\pi\) | |||||||
\(542\) | 26.2159 | + | 9.54179i | 1.12607 | + | 0.409855i | ||||
\(543\) | −13.3422 | + | 25.2516i | −0.572567 | + | 1.08365i | ||||
\(544\) | 2.75524 | + | 2.31192i | 0.118130 | + | 0.0991228i | ||||
\(545\) | −23.4663 | − | 19.6906i | −1.00519 | − | 0.843451i | ||||
\(546\) | 7.20353 | − | 10.8654i | 0.308283 | − | 0.464995i | ||||
\(547\) | 24.4309 | + | 8.89212i | 1.04459 | + | 0.380199i | 0.806618 | − | 0.591073i | \(-0.201295\pi\) |
0.237971 | + | 0.971272i | \(0.423518\pi\) | |||||||
\(548\) | 6.99930 | − | 12.1231i | 0.298995 | − | 0.517875i | ||||
\(549\) | 6.42281 | + | 1.80551i | 0.274119 | + | 0.0770575i | ||||
\(550\) | −8.71106 | − | 15.0880i | −0.371441 | − | 0.643354i | ||||
\(551\) | 10.2717 | + | 3.73859i | 0.437588 | + | 0.159269i | ||||
\(552\) | −13.5782 | + | 5.52718i | −0.577927 | + | 0.235253i | ||||
\(553\) | 0.347063 | − | 0.236812i | 0.0147586 | − | 0.0100703i | ||||
\(554\) | 3.26436 | − | 18.5131i | 0.138689 | − | 0.786546i | ||||
\(555\) | −17.5202 | + | 7.13184i | −0.743693 | + | 0.302730i | ||||
\(556\) | −3.24926 | − | 18.4275i | −0.137799 | − | 0.781500i | ||||
\(557\) | −14.7654 | − | 25.5745i | −0.625632 | − | 1.08363i | −0.988418 | − | 0.151754i | \(-0.951508\pi\) |
0.362787 | − | 0.931872i | \(-0.381825\pi\) | |||||||
\(558\) | 28.7697 | − | 2.16260i | 1.21792 | − | 0.0915503i | ||||
\(559\) | −3.09966 | − | 5.36877i | −0.131102 | − | 0.227075i | ||||
\(560\) | −5.53750 | + | 7.70822i | −0.234002 | + | 0.325732i | ||||
\(561\) | −13.1292 | − | 4.22813i | −0.554317 | − | 0.178512i | ||||
\(562\) | 0.810838 | − | 4.59849i | 0.0342031 | − | 0.193976i | ||||
\(563\) | 4.13510 | − | 23.4513i | 0.174274 | − | 0.988354i | −0.764705 | − | 0.644380i | \(-0.777116\pi\) |
0.938979 | − | 0.343974i | \(-0.111773\pi\) | |||||||
\(564\) | −4.62067 | − | 7.35189i | −0.194565 | − | 0.309570i | ||||
\(565\) | 6.69298 | − | 5.61608i | 0.281576 | − | 0.236270i | ||||
\(566\) | −1.55608 | −0.0654070 | ||||||||
\(567\) | −12.9355 | − | 19.9918i | −0.543242 | − | 0.839576i | ||||
\(568\) | −7.33959 | −0.307962 | ||||||||
\(569\) | −4.50387 | + | 3.77919i | −0.188812 | + | 0.158432i | −0.732294 | − | 0.680989i | \(-0.761550\pi\) |
0.543482 | + | 0.839421i | \(0.317106\pi\) | |||||||
\(570\) | 5.37085 | + | 8.54549i | 0.224960 | + | 0.357931i | ||||
\(571\) | −4.27975 | + | 24.2716i | −0.179102 | + | 1.01574i | 0.754200 | + | 0.656644i | \(0.228025\pi\) |
−0.933302 | + | 0.359092i | \(0.883086\pi\) | |||||||
\(572\) | −1.09375 | + | 6.20296i | −0.0457320 | + | 0.259359i | ||||
\(573\) | −5.81676 | − | 1.87322i | −0.242999 | − | 0.0782551i | ||||
\(574\) | 11.6258 | + | 25.7400i | 0.485253 | + | 1.07437i | ||||
\(575\) | 33.3001 | + | 57.6775i | 1.38871 | + | 2.40532i | ||||
\(576\) | −1.69053 | − | 2.47833i | −0.0704386 | − | 0.103264i | ||||
\(577\) | −7.33975 | − | 12.7128i | −0.305558 | − | 0.529241i | 0.671828 | − | 0.740708i | \(-0.265510\pi\) |
−0.977385 | + | 0.211466i | \(0.932176\pi\) | |||||||
\(578\) | 0.705647 | + | 4.00192i | 0.0293511 | + | 0.166458i | ||||
\(579\) | 10.3995 | − | 4.23323i | 0.432187 | − | 0.175927i | ||||
\(580\) | −4.19173 | + | 23.7725i | −0.174052 | + | 0.987098i | ||||
\(581\) | 2.90781 | + | 38.6098i | 0.120636 | + | 1.60180i | ||||
\(582\) | −0.916317 | + | 0.372998i | −0.0379826 | + | 0.0154613i | ||||
\(583\) | 23.1328 | + | 8.41964i | 0.958061 | + | 0.348706i | ||||
\(584\) | 1.94254 | + | 3.36458i | 0.0803829 | + | 0.139227i | ||||
\(585\) | 21.9114 | − | 21.3816i | 0.905926 | − | 0.884019i | ||||
\(586\) | 2.60051 | − | 4.50422i | 0.107426 | − | 0.186067i | ||||
\(587\) | 18.3049 | + | 6.66246i | 0.755526 | + | 0.274989i | 0.690929 | − | 0.722922i | \(-0.257202\pi\) |
0.0645969 | + | 0.997911i | \(0.479424\pi\) | |||||||
\(588\) | −11.9111 | + | 2.26426i | −0.491203 | + | 0.0933766i | ||||
\(589\) | −11.9672 | − | 10.0416i | −0.493098 | − | 0.413759i | ||||
\(590\) | 5.55494 | + | 4.66115i | 0.228693 | + | 0.191896i | ||||
\(591\) | 4.22987 | − | 8.00553i | 0.173994 | − | 0.329303i | ||||
\(592\) | −2.86083 | − | 1.04126i | −0.117579 | − | 0.0427954i | ||||
\(593\) | −10.1112 | − | 17.5131i | −0.415217 | − | 0.719178i | 0.580234 | − | 0.814450i | \(-0.302961\pi\) |
−0.995451 | + | 0.0952724i | \(0.969628\pi\) | |||||||
\(594\) | 9.58802 | + | 6.35864i | 0.393401 | + | 0.260898i | ||||
\(595\) | 33.0780 | − | 8.43576i | 1.35606 | − | 0.345832i | ||||
\(596\) | 1.99409 | + | 11.3090i | 0.0816810 | + | 0.463236i | ||||
\(597\) | 10.9907 | − | 20.8012i | 0.449819 | − | 0.851335i | ||||
\(598\) | 4.18112 | − | 23.7123i | 0.170979 | − | 0.969669i | ||||
\(599\) | −33.6248 | + | 12.2384i | −1.37387 | + | 0.500049i | −0.920315 | − | 0.391177i | \(-0.872068\pi\) |
−0.453558 | + | 0.891227i | \(0.649846\pi\) | |||||||
\(600\) | −10.1044 | + | 9.14590i | −0.412512 | + | 0.373380i | ||||
\(601\) | 41.2382 | + | 15.0095i | 1.68214 | + | 0.612250i | 0.993601 | − | 0.112947i | \(-0.0360292\pi\) |
0.688541 | + | 0.725197i | \(0.258251\pi\) | |||||||
\(602\) | −1.55950 | + | 5.55070i | −0.0635606 | + | 0.226230i | ||||
\(603\) | 12.4803 | − | 5.63475i | 0.508237 | − | 0.229465i | ||||
\(604\) | −3.43193 | −0.139643 | ||||||||
\(605\) | −3.79841 | − | 21.5419i | −0.154427 | − | 0.875801i | ||||
\(606\) | 19.1801 | − | 7.80752i | 0.779140 | − | 0.317159i | ||||
\(607\) | −32.0297 | + | 11.6578i | −1.30004 | + | 0.473177i | −0.897011 | − | 0.442008i | \(-0.854266\pi\) |
−0.403033 | + | 0.915186i | \(0.632044\pi\) | |||||||
\(608\) | −0.282078 | + | 1.59974i | −0.0114398 | + | 0.0648782i | ||||
\(609\) | −24.8021 | + | 18.3234i | −1.00503 | + | 0.742502i | ||||
\(610\) | 6.11138 | − | 5.12806i | 0.247443 | − | 0.207629i | ||||
\(611\) | 14.2618 | 0.576971 | ||||||||
\(612\) | −1.07190 | + | 10.7368i | −0.0433289 | + | 0.434008i | ||||
\(613\) | −11.2820 | −0.455676 | −0.227838 | − | 0.973699i | \(-0.573166\pi\) | ||||
−0.227838 | + | 0.973699i | \(0.573166\pi\) | |||||||
\(614\) | −1.10523 | − | 6.26807i | −0.0446035 | − | 0.252959i | ||||
\(615\) | 13.9596 | + | 64.8428i | 0.562905 | + | 2.61472i | ||||
\(616\) | 4.83888 | − | 3.30173i | 0.194964 | − | 0.133030i | ||||
\(617\) | −12.4010 | + | 4.51360i | −0.499246 | + | 0.181711i | −0.579355 | − | 0.815076i | \(-0.696695\pi\) |
0.0801090 | + | 0.996786i | \(0.474473\pi\) | |||||||
\(618\) | 5.05631 | − | 9.56965i | 0.203395 | − | 0.384948i | ||||
\(619\) | −22.0349 | − | 8.02006i | −0.885658 | − | 0.322353i | −0.141167 | − | 0.989986i | \(-0.545086\pi\) |
−0.744491 | + | 0.667632i | \(0.767308\pi\) | |||||||
\(620\) | 17.2494 | − | 29.8769i | 0.692754 | − | 1.19988i | ||||
\(621\) | −36.6525 | − | 24.3075i | −1.47082 | − | 0.975424i | ||||
\(622\) | −14.7597 | −0.591810 | ||||||||
\(623\) | 21.4355 | − | 29.8383i | 0.858794 | − | 1.19545i | ||||
\(624\) | 4.92382 | − | 0.184800i | 0.197111 | − | 0.00739791i | ||||
\(625\) | −1.85962 | − | 1.56041i | −0.0743848 | − | 0.0624163i | ||||
\(626\) | 1.04392 | − | 0.379956i | 0.0417234 | − | 0.0151861i | ||||
\(627\) | −1.31109 | − | 6.09007i | −0.0523600 | − | 0.243214i | ||||
\(628\) | −3.22135 | − | 18.2692i | −0.128546 | − | 0.729020i | ||||
\(629\) | 5.47498 | + | 9.48294i | 0.218302 | + | 0.378109i | ||||
\(630\) | −28.4648 | − | 0.692790i | −1.13407 | − | 0.0276014i | ||||
\(631\) | 4.36566 | − | 7.56154i | 0.173794 | − | 0.301020i | −0.765949 | − | 0.642901i | \(-0.777731\pi\) |
0.939743 | + | 0.341881i | \(0.111064\pi\) | |||||||
\(632\) | 0.149228 | + | 0.0543145i | 0.00593596 | + | 0.00216051i | ||||
\(633\) | −3.58040 | + | 25.9670i | −0.142308 | + | 1.03210i | ||||
\(634\) | −20.9110 | − | 17.5464i | −0.830481 | − | 0.696856i | ||||
\(635\) | 39.0934 | − | 14.2288i | 1.55137 | − | 0.564654i | ||||
\(636\) | 2.63040 | − | 19.0771i | 0.104302 | − | 0.756456i | ||||
\(637\) | 7.26142 | − | 18.5423i | 0.287708 | − | 0.734671i | ||||
\(638\) | 7.44950 | − | 12.9029i | 0.294928 | − | 0.510831i | ||||
\(639\) | −12.4078 | − | 18.1899i | −0.490844 | − | 0.719582i | ||||
\(640\) | −3.58729 | −0.141800 | ||||||||
\(641\) | −25.1631 | + | 21.1143i | −0.993881 | + | 0.833965i | −0.986125 | − | 0.166004i | \(-0.946913\pi\) |
−0.00775630 | + | 0.999970i | \(0.502469\pi\) | |||||||
\(642\) | 3.62105 | + | 16.8199i | 0.142912 | + | 0.663830i | ||||
\(643\) | 12.6672 | + | 10.6290i | 0.499545 | + | 0.419168i | 0.857432 | − | 0.514597i | \(-0.172058\pi\) |
−0.357887 | + | 0.933765i | \(0.616503\pi\) | |||||||
\(644\) | −18.4978 | + | 12.6216i | −0.728916 | + | 0.497363i | ||||
\(645\) | −6.32553 | + | 11.9718i | −0.249067 | + | 0.471389i | ||||
\(646\) | 4.47568 | − | 3.75554i | 0.176093 | − | 0.147760i | ||||
\(647\) | 4.75023 | − | 8.22764i | 0.186751 | − | 0.323462i | −0.757414 | − | 0.652935i | \(-0.773538\pi\) |
0.944165 | + | 0.329473i | \(0.106871\pi\) | |||||||
\(648\) | 3.28424 | − | 8.37937i | 0.129017 | − | 0.329173i | ||||
\(649\) | −2.23784 | − | 3.87606i | −0.0878430 | − | 0.152148i | ||||
\(650\) | −3.88703 | − | 22.0444i | −0.152462 | − | 0.864654i | ||||
\(651\) | 42.2652 | − | 12.4845i | 1.65650 | − | 0.489307i | ||||
\(652\) | −12.4043 | + | 4.51478i | −0.485788 | + | 0.176812i | ||||
\(653\) | −2.78788 | + | 15.8108i | −0.109098 | + | 0.618726i | 0.880406 | + | 0.474221i | \(0.157270\pi\) |
−0.989504 | + | 0.144505i | \(0.953841\pi\) | |||||||
\(654\) | 10.9657 | − | 9.92545i | 0.428792 | − | 0.388116i | ||||
\(655\) | 37.3112 | − | 31.3078i | 1.45787 | − | 1.22330i | ||||
\(656\) | −5.33756 | + | 9.24492i | −0.208397 | + | 0.360954i | ||||
\(657\) | −5.05462 | + | 10.5022i | −0.197200 | + | 0.409728i | ||||
\(658\) | −9.26498 | − | 9.49186i | −0.361186 | − | 0.370031i | ||||
\(659\) | −26.5624 | + | 22.2885i | −1.03472 | + | 0.868237i | −0.991406 | − | 0.130825i | \(-0.958238\pi\) |
−0.0433188 | + | 0.999061i | \(0.513793\pi\) | |||||||
\(660\) | 12.7419 | − | 5.18675i | 0.495978 | − | 0.201894i | ||||
\(661\) | 23.7417 | + | 19.9216i | 0.923445 | + | 0.774862i | 0.974629 | − | 0.223827i | \(-0.0718551\pi\) |
−0.0511842 | + | 0.998689i | \(0.516300\pi\) | |||||||
\(662\) | 20.2457 | + | 16.9881i | 0.786870 | + | 0.660263i | ||||
\(663\) | −13.9936 | − | 10.8743i | −0.543465 | − | 0.422324i | ||||
\(664\) | −11.2106 | + | 9.40685i | −0.435057 | + | 0.365057i | ||||
\(665\) | 10.7692 | + | 11.0329i | 0.417611 | + | 0.427838i | ||||
\(666\) | −2.25573 | − | 8.85036i | −0.0874078 | − | 0.342944i | ||||
\(667\) | −28.4775 | + | 49.3245i | −1.10265 | + | 1.90985i | ||||
\(668\) | −1.07295 | + | 0.900314i | −0.0415138 | + | 0.0348342i | ||||
\(669\) | −1.41793 | − | 6.58634i | −0.0548204 | − | 0.254643i | ||||
\(670\) | 2.84332 | − | 16.1253i | 0.109847 | − | 0.622973i | ||||
\(671\) | −4.62706 | + | 1.68411i | −0.178626 | + | 0.0650145i | ||||
\(672\) | −3.32168 | − | 3.15697i | −0.128137 | − | 0.121783i | ||||
\(673\) | 5.06620 | + | 28.7318i | 0.195288 | + | 1.10753i | 0.912009 | + | 0.410171i | \(0.134531\pi\) |
−0.716721 | + | 0.697360i | \(0.754358\pi\) | |||||||
\(674\) | −1.22354 | − | 2.11924i | −0.0471292 | − | 0.0816301i | ||||
\(675\) | −39.7484 | − | 9.58075i | −1.52992 | − | 0.368763i | ||||
\(676\) | 2.45364 | − | 4.24983i | 0.0943707 | − | 0.163455i | ||||
\(677\) | −26.7309 | + | 22.4299i | −1.02735 | + | 0.862051i | −0.990534 | − | 0.137271i | \(-0.956167\pi\) |
−0.0368189 | + | 0.999322i | \(0.511722\pi\) | |||||||
\(678\) | 2.24479 | + | 3.57166i | 0.0862108 | + | 0.137169i | ||||
\(679\) | −1.24831 | + | 0.851764i | −0.0479058 | + | 0.0326877i | ||||
\(680\) | 9.88385 | + | 8.29354i | 0.379028 | + | 0.318043i | ||||
\(681\) | 4.68072 | − | 4.23669i | 0.179366 | − | 0.162350i | ||||
\(682\) | −16.3115 | + | 13.6869i | −0.624598 | + | 0.524100i | ||||
\(683\) | 7.25962 | 0.277782 | 0.138891 | − | 0.990308i | \(-0.455646\pi\) | ||||
0.138891 | + | 0.990308i | \(0.455646\pi\) | |||||||
\(684\) | −4.44156 | + | 2.00533i | −0.169827 | + | 0.0766756i | ||||
\(685\) | 25.1085 | − | 43.4892i | 0.959347 | − | 1.66164i | ||||
\(686\) | −17.0580 | + | 7.21291i | −0.651276 | + | 0.275390i | ||||
\(687\) | 23.7115 | + | 18.4261i | 0.904651 | + | 0.703000i | ||||
\(688\) | −2.04778 | + | 0.745330i | −0.0780708 | + | 0.0284154i | ||||
\(689\) | 24.2294 | + | 20.3309i | 0.923066 | + | 0.774545i | ||||
\(690\) | −48.7090 | + | 19.8276i | −1.85432 | + | 0.754824i | ||||
\(691\) | 35.1435 | + | 12.7912i | 1.33692 | + | 0.486600i | 0.908842 | − | 0.417140i | \(-0.136968\pi\) |
0.428081 | + | 0.903740i | \(0.359190\pi\) | |||||||
\(692\) | 2.48272 | − | 4.30020i | 0.0943788 | − | 0.163469i | ||||
\(693\) | 16.3630 | + | 6.41070i | 0.621580 | + | 0.243522i | ||||
\(694\) | −6.64417 | − | 11.5080i | −0.252209 | − | 0.436839i | ||||
\(695\) | −11.6561 | − | 66.1048i | −0.442139 | − | 2.50750i | ||||
\(696\) | −11.0940 | − | 3.57272i | −0.420518 | − | 0.135423i | ||||
\(697\) | 36.0798 | − | 13.1320i | 1.36662 | − | 0.497409i | ||||
\(698\) | −8.42387 | − | 7.06847i | −0.318848 | − | 0.267545i | ||||
\(699\) | −13.4405 | − | 21.3850i | −0.508366 | − | 0.808855i | ||||
\(700\) | −12.1464 | + | 16.9078i | −0.459091 | + | 0.639056i | ||||
\(701\) | −25.3690 | −0.958175 | −0.479088 | − | 0.877767i | \(-0.659032\pi\) | ||||
−0.479088 | + | 0.877767i | \(0.659032\pi\) | |||||||
\(702\) | 8.78184 | + | 11.8904i | 0.331449 | + | 0.448776i | ||||
\(703\) | −2.47272 | + | 4.28288i | −0.0932605 | + | 0.161532i | ||||
\(704\) | 2.08059 | + | 0.757273i | 0.0784152 | + | 0.0285408i | ||||
\(705\) | −16.5757 | − | 26.3734i | −0.624276 | − | 0.993278i | ||||
\(706\) | −14.8145 | + | 5.39203i | −0.557551 | + | 0.202932i | ||||
\(707\) | 26.1294 | − | 17.8289i | 0.982696 | − | 0.670525i | ||||
\(708\) | −2.59580 | + | 2.34955i | −0.0975560 | + | 0.0883015i | ||||
\(709\) | 5.08512 | + | 28.8391i | 0.190976 | + | 1.08308i | 0.918034 | + | 0.396501i | \(0.129776\pi\) |
−0.727059 | + | 0.686575i | \(0.759113\pi\) | |||||||
\(710\) | −26.3292 | −0.988119 | ||||||||
\(711\) | 0.117664 | + | 0.461656i | 0.00441276 | + | 0.0173134i | ||||
\(712\) | 13.8863 | 0.520411 | ||||||||
\(713\) | 62.3545 | − | 52.3216i | 2.33519 | − | 1.95946i | ||||
\(714\) | 1.85337 | + | 16.3777i | 0.0693607 | + | 0.612919i | ||||
\(715\) | −3.92360 | + | 22.2518i | −0.146734 | + | 0.832171i | ||||
\(716\) | −18.2918 | + | 6.65766i | −0.683595 | + | 0.248808i | ||||
\(717\) | 0.324270 | + | 0.251988i | 0.0121101 | + | 0.00941067i | ||||
\(718\) | 0.331613 | + | 1.88067i | 0.0123757 | + | 0.0701861i | ||||
\(719\) | 6.82830 | 0.254653 | 0.127326 | − | 0.991861i | \(-0.459360\pi\) | ||||
0.127326 | + | 0.991861i | \(0.459360\pi\) | |||||||
\(720\) | −6.06441 | − | 8.89049i | −0.226007 | − | 0.331329i | ||||
\(721\) | 4.47187 | − | 15.9166i | 0.166541 | − | 0.592767i | ||||
\(722\) | −15.3745 | − | 5.59588i | −0.572181 | − | 0.208257i | ||||
\(723\) | −2.31813 | − | 10.7678i | −0.0862123 | − | 0.400459i | ||||
\(724\) | −15.4945 | + | 5.63955i | −0.575850 | + | 0.209592i | ||||
\(725\) | −9.19448 | + | 52.1445i | −0.341474 | + | 1.93660i | ||||
\(726\) | 10.5541 | − | 0.396113i | 0.391698 | − | 0.0147011i | ||||
\(727\) | −6.67878 | − | 37.8773i | −0.247702 | − | 1.40479i | −0.814132 | − | 0.580680i | \(-0.802787\pi\) |
0.566429 | − | 0.824110i | \(-0.308324\pi\) | |||||||
\(728\) | 7.29312 | − | 1.85994i | 0.270301 | − | 0.0689340i | ||||
\(729\) | 26.3189 | − | 6.02611i | 0.974775 | − | 0.223189i | ||||
\(730\) | 6.96846 | + | 12.0697i | 0.257914 | + | 0.446720i | ||||
\(731\) | 7.36526 | + | 2.68074i | 0.272414 | + | 0.0991506i | ||||
\(732\) | 2.04973 | + | 3.26130i | 0.0757602 | + | 0.120541i | ||||
\(733\) | 30.8929 | + | 25.9222i | 1.14105 | + | 0.957459i | 0.999473 | − | 0.0324678i | \(-0.0103366\pi\) |
0.141582 | + | 0.989927i | \(0.454781\pi\) | |||||||
\(734\) | 17.4970 | + | 14.6817i | 0.645825 | + | 0.541912i | ||||
\(735\) | −42.7284 | + | 8.12256i | −1.57606 | + | 0.299605i | ||||
\(736\) | −7.95356 | − | 2.89486i | −0.293172 | − | 0.106706i | ||||
\(737\) | −5.05311 | + | 8.75225i | −0.186134 | + | 0.322393i | ||||
\(738\) | −31.9353 | + | 2.40055i | −1.17555 | + | 0.0883656i | ||||
\(739\) | −8.16745 | − | 14.1464i | −0.300445 | − | 0.520385i | 0.675792 | − | 0.737092i | \(-0.263802\pi\) |
−0.976237 | + | 0.216707i | \(0.930468\pi\) | |||||||
\(740\) | −10.2626 | − | 3.73529i | −0.377262 | − | 0.137312i | ||||
\(741\) | 1.09327 | − | 7.92898i | 0.0401623 | − | 0.291278i | ||||
\(742\) | −2.20918 | − | 29.3334i | −0.0811016 | − | 1.07686i | ||||
\(743\) | −2.57617 | + | 14.6102i | −0.0945104 | + | 0.535995i | 0.900386 | + | 0.435092i | \(0.143284\pi\) |
−0.994896 | + | 0.100903i | \(0.967827\pi\) | |||||||
\(744\) | 13.1527 | + | 10.2209i | 0.482200 | + | 0.374715i | ||||
\(745\) | 7.15337 | + | 40.5688i | 0.262079 | + | 1.48633i | ||||
\(746\) | 12.8646 | + | 22.2821i | 0.471006 | + | 0.815807i | ||||
\(747\) | −42.2652 | − | 11.8812i | −1.54640 | − | 0.434709i | ||||
\(748\) | −3.98177 | − | 6.89663i | −0.145588 | − | 0.252166i | ||||
\(749\) | 10.8181 | + | 23.9518i | 0.395286 | + | 0.875178i | ||||
\(750\) | −13.2147 | + | 11.9611i | −0.482532 | + | 0.436757i | ||||
\(751\) | 3.25803 | − | 18.4772i | 0.118887 | − | 0.674243i | −0.865865 | − | 0.500279i | \(-0.833231\pi\) |
0.984752 | − | 0.173965i | \(-0.0556579\pi\) | |||||||
\(752\) | 0.870558 | − | 4.93718i | 0.0317460 | − | 0.180040i | ||||
\(753\) | 5.52165 | − | 10.4504i | 0.201220 | − | 0.380833i | ||||
\(754\) | 14.6642 | − | 12.3047i | 0.534038 | − | 0.448111i | ||||
\(755\) | −12.3113 | −0.448056 | ||||||||
\(756\) | 2.20862 | − | 13.5692i | 0.0803266 | − | 0.493505i | ||||
\(757\) | −21.7187 | −0.789379 | −0.394690 | − | 0.918815i | \(-0.629148\pi\) | ||||
−0.394690 | + | 0.918815i | \(0.629148\pi\) | |||||||
\(758\) | −2.35818 | + | 1.97875i | −0.0856529 | + | 0.0718713i | ||||
\(759\) | 32.4363 | − | 1.21739i | 1.17736 | − | 0.0441885i | ||||
\(760\) | −1.01190 | + | 5.73875i | −0.0367053 | + | 0.208166i | ||||
\(761\) | 7.21511 | − | 40.9189i | 0.261548 | − | 1.48331i | −0.517142 | − | 0.855900i | \(-0.673004\pi\) |
0.778689 | − | 0.627410i | \(-0.215885\pi\) | |||||||
\(762\) | 4.22751 | + | 19.6369i | 0.153146 | + | 0.711371i | ||||
\(763\) | 13.1817 | − | 18.3490i | 0.477209 | − | 0.664278i | ||||
\(764\) | −1.76408 | − | 3.05547i | −0.0638221 | − | 0.110543i | ||||
\(765\) | −3.84521 | + | 38.5159i | −0.139024 | + | 1.39254i | ||||
\(766\) | −2.90393 | − | 5.02975i | −0.104923 | − | 0.181732i | ||||
\(767\) | −0.998565 | − | 5.66314i | −0.0360561 | − | 0.204484i | ||||
\(768\) | 0.236582 | − | 1.71582i | 0.00853690 | − | 0.0619142i | ||||
\(769\) | −4.20100 | + | 23.8250i | −0.151492 | + | 0.859153i | 0.810431 | + | 0.585833i | \(0.199233\pi\) |
−0.961923 | + | 0.273319i | \(0.911878\pi\) | |||||||
\(770\) | 17.3585 | − | 11.8443i | 0.625556 | − | 0.426837i | ||||
\(771\) | 32.6368 | + | 25.3619i | 1.17538 | + | 0.913386i | ||||
\(772\) | 6.09157 | + | 2.21715i | 0.219240 | + | 0.0797970i | ||||
\(773\) | −6.55884 | − | 11.3602i | −0.235905 | − | 0.408600i | 0.723630 | − | 0.690188i | \(-0.242472\pi\) |
−0.959535 | + | 0.281588i | \(0.909139\pi\) | |||||||
\(774\) | −5.30899 | − | 3.81507i | −0.190828 | − | 0.137130i | ||||
\(775\) | 37.8363 | − | 65.5344i | 1.35912 | − | 2.35406i | ||||
\(776\) | −0.536740 | − | 0.195358i | −0.0192679 | − | 0.00701293i | ||||
\(777\) | −6.21555 | − | 12.4903i | −0.222982 | − | 0.448086i | ||||
\(778\) | 25.3853 | + | 21.3008i | 0.910108 | + | 0.763671i | ||||
\(779\) | 13.2839 | + | 11.1465i | 0.475945 | + | 0.399366i | ||||
\(780\) | 17.6632 | − | 0.662930i | 0.632443 | − | 0.0237367i | ||||
\(781\) | 15.2707 | + | 5.55807i | 0.546428 | + | 0.198883i | ||||
\(782\) | 15.2213 | + | 26.3640i | 0.544312 | + | 0.942776i | ||||
\(783\) | −9.90040 | − | 33.5345i | −0.353811 | − | 1.19842i | ||||
\(784\) | −5.97574 | − | 3.64561i | −0.213419 | − | 0.130200i | ||||
\(785\) | −11.5559 | − | 65.5369i | −0.412449 | − | 2.33911i | ||||
\(786\) | 12.5140 | + | 19.9109i | 0.446360 | + | 0.710197i | ||||
\(787\) | −4.98120 | + | 28.2498i | −0.177561 | + | 1.00700i | 0.757586 | + | 0.652735i | \(0.226379\pi\) |
−0.935147 | + | 0.354261i | \(0.884733\pi\) | |||||||
\(788\) | 4.91224 | − | 1.78791i | 0.174991 | − | 0.0636917i | ||||
\(789\) | 47.9515 | + | 15.4423i | 1.70712 | + | 0.549760i | ||||
\(790\) | 0.535323 | + | 0.194842i | 0.0190460 | + | 0.00693216i | ||||
\(791\) | 4.50107 | + | 4.61130i | 0.160040 | + | 0.163959i | ||||
\(792\) | 1.64052 | + | 6.43658i | 0.0582933 | + | 0.228714i | ||||
\(793\) | −6.32654 | −0.224662 | ||||||||
\(794\) | −0.163176 | − | 0.925420i | −0.00579091 | − | 0.0328419i | ||||
\(795\) | 9.43602 | − | 68.4351i | 0.334661 | − | 2.42714i | ||||
\(796\) | 12.7637 | − | 4.64562i | 0.452399 | − | 0.164660i | ||||
\(797\) | 2.10926 | − | 11.9622i | 0.0747139 | − | 0.423723i | −0.924392 | − | 0.381444i | \(-0.875427\pi\) |
0.999106 | − | 0.0422795i | \(-0.0134620\pi\) | |||||||
\(798\) | −5.98731 | + | 4.42333i | −0.211949 | + | 0.156584i | ||||
\(799\) | −13.8130 | + | 11.5905i | −0.488668 | + | 0.410041i | ||||
\(800\) | −7.86865 | −0.278199 | ||||||||
\(801\) | 23.4751 | + | 34.4148i | 0.829453 | + | 1.21599i | ||||
\(802\) | −1.34594 | −0.0475269 | ||||||||
\(803\) | −1.49373 | − | 8.47134i | −0.0527124 | − | 0.298947i | ||||
\(804\) | 7.52527 | + | 2.42343i | 0.265396 | + | 0.0854678i | ||||
\(805\) | −66.3570 | + | 45.2775i | −2.33878 | + | 1.59582i | ||||
\(806\) | −25.7082 | + | 9.35701i | −0.905532 | + | 0.329587i | ||||
\(807\) | 24.0679 | − | 0.903311i | 0.847230 | − | 0.0317980i | ||||
\(808\) | 11.2349 | + | 4.08918i | 0.395243 | + | 0.143857i | ||||
\(809\) | 19.9107 | − | 34.4863i | 0.700021 | − | 1.21247i | −0.268437 | − | 0.963297i | \(-0.586507\pi\) |
0.968458 | − | 0.249175i | \(-0.0801596\pi\) | |||||||
\(810\) | 11.7815 | − | 30.0592i | 0.413961 | − | 1.05617i | ||||
\(811\) | −47.8526 | −1.68033 | −0.840166 | − | 0.542329i | \(-0.817543\pi\) | ||||
−0.840166 | + | 0.542329i | \(0.817543\pi\) | |||||||
\(812\) | −17.7157 | − | 1.76608i | −0.621699 | − | 0.0619773i | ||||
\(813\) | −22.5742 | + | 42.7242i | −0.791711 | + | 1.49840i | ||||
\(814\) | 5.16370 | + | 4.33286i | 0.180988 | + | 0.151867i | ||||
\(815\) | −44.4977 | + | 16.1958i | −1.55869 | + | 0.567315i | ||||
\(816\) | −4.61868 | + | 4.18053i | −0.161686 | + | 0.146348i | ||||
\(817\) | 0.614704 | + | 3.48616i | 0.0215058 | + | 0.121965i | ||||
\(818\) | −18.1845 | − | 31.4965i | −0.635807 | − | 1.10125i | ||||
\(819\) | 16.9388 | + | 14.9305i | 0.591888 | + | 0.521714i | ||||
\(820\) | −19.1474 | + | 33.1642i | −0.668655 | + | 1.15815i | ||||
\(821\) | 2.82526 | + | 1.02831i | 0.0986022 | + | 0.0358883i | 0.390850 | − | 0.920454i | \(-0.372181\pi\) |
−0.292248 | + | 0.956343i | \(0.594403\pi\) | |||||||
\(822\) | 19.1452 | + | 14.8776i | 0.667765 | + | 0.518917i | ||||
\(823\) | 26.9553 | + | 22.6181i | 0.939601 | + | 0.788419i | 0.977516 | − | 0.210862i | \(-0.0676271\pi\) |
−0.0379147 | + | 0.999281i | \(0.512072\pi\) | |||||||
\(824\) | 5.87200 | − | 2.13723i | 0.204561 | − | 0.0744540i | ||||
\(825\) | 27.9491 | − | 11.3770i | 0.973064 | − | 0.396098i | ||||
\(826\) | −3.12037 | + | 4.34357i | −0.108571 | + | 0.151132i | ||||
\(827\) | −0.410700 | + | 0.711353i | −0.0142814 | + | 0.0247362i | −0.873078 | − | 0.487581i | \(-0.837879\pi\) |
0.858796 | + | 0.512317i | \(0.171213\pi\) | |||||||
\(828\) | −6.27128 | − | 24.6054i | −0.217942 | − | 0.855096i | ||||
\(829\) | −14.4753 | −0.502749 | −0.251375 | − | 0.967890i | \(-0.580883\pi\) | ||||
−0.251375 | + | 0.967890i | \(0.580883\pi\) | |||||||
\(830\) | −40.2158 | + | 33.7451i | −1.39591 | + | 1.17131i | ||||
\(831\) | 30.9928 | + | 9.98090i | 1.07513 | + | 0.346234i | ||||
\(832\) | 2.17922 | + | 1.82858i | 0.0755509 | + | 0.0633947i | ||||
\(833\) | 8.03625 | + | 23.8600i | 0.278439 | + | 0.826700i | ||||
\(834\) | 32.3869 | − | 1.21554i | 1.12147 | − | 0.0420906i | ||||
\(835\) | −3.84899 | + | 3.22969i | −0.133200 | + | 0.111768i | ||||
\(836\) | 1.79833 | − | 3.11480i | 0.0621966 | − | 0.107728i | ||||
\(837\) | −3.09576 | + | 49.8752i | −0.107005 | + | 1.72394i | ||||
\(838\) | −7.42812 | − | 12.8659i | −0.256600 | − | 0.444444i | ||||
\(839\) | 0.519920 | + | 2.94861i | 0.0179496 | + | 0.101797i | 0.992466 | − | 0.122517i | \(-0.0390967\pi\) |
−0.974517 | + | 0.224315i | \(0.927986\pi\) | |||||||
\(840\) | −11.9158 | − | 11.3250i | −0.411135 | − | 0.390748i | ||||
\(841\) | −15.2988 | + | 5.56832i | −0.527546 | + | 0.192011i | ||||
\(842\) | 2.95493 | − | 16.7583i | 0.101834 | − | 0.577528i | ||||
\(843\) | 7.69834 | + | 2.47917i | 0.265145 | + | 0.0853871i | ||||
\(844\) | −11.5932 | + | 9.72788i | −0.399056 | + | 0.334848i | ||||
\(845\) | 8.80192 | − | 15.2454i | 0.302795 | − | 0.524457i | ||||
\(846\) | 13.7077 | − | 6.18890i | 0.471279 | − | 0.212779i | ||||
\(847\) | 15.6326 | − | 3.98673i | 0.537143 | − | 0.136986i | ||||
\(848\) | 8.51717 | − | 7.14675i | 0.292481 | − | 0.245421i | ||||
\(849\) | 0.368140 | − | 2.66995i | 0.0126345 | − | 0.0916325i | ||||
\(850\) | 21.6800 | + | 18.1917i | 0.743619 | + | 0.623971i | ||||
\(851\) | −19.7395 | − | 16.5634i | −0.676661 | − | 0.567786i | ||||
\(852\) | 1.73641 | − | 12.5934i | 0.0594885 | − | 0.431443i | ||||
\(853\) | 32.2146 | − | 27.0312i | 1.10301 | − | 0.925532i | 0.105383 | − | 0.994432i | \(-0.466393\pi\) |
0.997624 | + | 0.0688994i | \(0.0219487\pi\) | |||||||
\(854\) | 4.10994 | + | 4.21059i | 0.140639 | + | 0.144083i | ||||
\(855\) | −15.9331 | + | 7.19369i | −0.544902 | + | 0.246019i | ||||
\(856\) | −4.96674 | + | 8.60265i | −0.169760 | + | 0.294032i | ||||
\(857\) | −30.2210 | + | 25.3584i | −1.03233 | + | 0.866226i | −0.991126 | − | 0.132925i | \(-0.957563\pi\) |
−0.0412020 | + | 0.999151i | \(0.513119\pi\) | |||||||
\(858\) | −10.3844 | − | 3.34418i | −0.354517 | − | 0.114168i | ||||
\(859\) | 1.87176 | − | 10.6153i | 0.0638635 | − | 0.362188i | −0.936082 | − | 0.351781i | \(-0.885576\pi\) |
0.999946 | − | 0.0104069i | \(-0.00331269\pi\) | |||||||
\(860\) | −7.34597 | + | 2.67371i | −0.250495 | + | 0.0911729i | ||||
\(861\) | −46.9156 | + | 13.8582i | −1.59888 | + | 0.472286i | ||||
\(862\) | 0.0499191 | + | 0.283105i | 0.00170025 | + | 0.00964261i | ||||
\(863\) | 21.2282 | + | 36.7683i | 0.722617 | + | 1.25161i | 0.959947 | + | 0.280180i | \(0.0903942\pi\) |
−0.237331 | + | 0.971429i | \(0.576272\pi\) | |||||||
\(864\) | 4.65231 | − | 2.31431i | 0.158275 | − | 0.0787343i | ||||
\(865\) | 8.90623 | − | 15.4261i | 0.302821 | − | 0.524501i | ||||
\(866\) | −16.0438 | + | 13.4624i | −0.545192 | + | 0.457471i | ||||
\(867\) | −7.03351 | + | 0.263980i | −0.238871 | + | 0.00896523i | ||||
\(868\) | 22.9284 | + | 11.0313i | 0.778242 | + | 0.374426i | ||||
\(869\) | −0.269351 | − | 0.226012i | −0.00913710 | − | 0.00766694i | ||||
\(870\) | −39.7975 | − | 12.8164i | −1.34926 | − | 0.434516i | ||||
\(871\) | −9.94695 | + | 8.34648i | −0.337040 | + | 0.282810i | ||||
\(872\) | 8.53934 | 0.289178 | ||||||||
\(873\) | −0.423213 | − | 1.66048i | −0.0143236 | − | 0.0561986i | ||||
\(874\) | −6.87456 | + | 11.9071i | −0.232535 | + | 0.402763i | ||||
\(875\) | −15.8852 | + | 22.1122i | −0.537016 | + | 0.747529i | ||||
\(876\) | −6.23257 | + | 2.53705i | −0.210579 | + | 0.0857189i | ||||
\(877\) | −24.7754 | + | 9.01751i | −0.836606 | + | 0.304500i | −0.724567 | − | 0.689204i | \(-0.757960\pi\) |
−0.112039 | + | 0.993704i | \(0.535738\pi\) | |||||||
\(878\) | −10.4066 | − | 8.73214i | −0.351204 | − | 0.294696i | ||||
\(879\) | 7.11318 | + | 5.52762i | 0.239922 | + | 0.186442i | ||||
\(880\) | 7.46368 | + | 2.71656i | 0.251601 | + | 0.0915751i | ||||
\(881\) | −17.4217 | + | 30.1753i | −0.586953 | + | 1.01663i | 0.407676 | + | 0.913127i | \(0.366339\pi\) |
−0.994629 | + | 0.103506i | \(0.966994\pi\) | |||||||
\(882\) | −1.06712 | − | 20.9729i | −0.0359319 | − | 0.706193i | ||||
\(883\) | 11.9222 | + | 20.6499i | 0.401214 | + | 0.694923i | 0.993873 | − | 0.110530i | \(-0.0352549\pi\) |
−0.592658 | + | 0.805454i | \(0.701922\pi\) | |||||||
\(884\) | −1.77674 | − | 10.0764i | −0.0597581 | − | 0.338905i | ||||
\(885\) | −9.31188 | + | 8.42852i | −0.313015 | + | 0.283322i | ||||
\(886\) | −26.5312 | + | 9.65658i | −0.891335 | + | 0.324419i | ||||
\(887\) | −28.0551 | − | 23.5410i | −0.941997 | − | 0.790430i | 0.0359344 | − | 0.999354i | \(-0.488559\pi\) |
−0.977932 | + | 0.208925i | \(0.933004\pi\) | |||||||
\(888\) | 2.46343 | − | 4.66232i | 0.0826672 | − | 0.156457i | ||||
\(889\) | 12.6300 | + | 27.9632i | 0.423595 | + | 0.937855i | ||||
\(890\) | 49.8141 | 1.66977 | ||||||||
\(891\) | −13.1786 | + | 14.9470i | −0.441500 | + | 0.500742i | ||||
\(892\) | 1.94487 | − | 3.36862i | 0.0651192 | − | 0.112790i | ||||
\(893\) | −7.65266 | − | 2.78534i | −0.256086 | − | 0.0932078i | ||||
\(894\) | −19.8760 | + | 0.745981i | −0.664753 | + | 0.0249493i | ||||
\(895\) | −65.6179 | + | 23.8829i | −2.19336 | + | 0.798319i | ||||
\(896\) | −0.198696 | − | 2.63828i | −0.00663798 | − | 0.0881387i | ||||
\(897\) | 39.6969 | + | 12.7839i | 1.32544 | + | 0.426844i | ||||
\(898\) | 0.568178 | + | 3.22230i | 0.0189604 | + | 0.107529i | ||||
\(899\) | 64.7135 | 2.15831 | ||||||||
\(900\) | −13.3022 | − | 19.5011i | −0.443406 | − | 0.650037i | ||||
\(901\) | −39.9896 | −1.33225 | ||||||||
\(902\) | 18.1062 | − | 15.1929i | 0.602870 | − | 0.505868i | ||||
\(903\) | −9.15504 | − | 3.98902i | −0.304661 | − | 0.132746i | ||||
\(904\) | −0.422931 | + | 2.39856i | −0.0140665 | + | 0.0797749i | ||||
\(905\) | −55.5835 | + | 20.2307i | −1.84766 | + | 0.672492i | ||||
\(906\) | 0.811932 | − | 5.88857i | 0.0269746 | − | 0.195635i | ||||
\(907\) | 1.04919 | + | 5.95028i | 0.0348379 | + | 0.197576i | 0.997259 | − | 0.0739844i | \(-0.0235715\pi\) |
−0.962421 | + | 0.271560i | \(0.912460\pi\) | |||||||
\(908\) | 3.64503 | 0.120964 | ||||||||
\(909\) | 8.85861 | + | 34.7567i | 0.293821 | + | 1.15281i | ||||
\(910\) | 26.1626 | − | 6.67215i | 0.867280 | − | 0.221179i | ||||
\(911\) | 36.8589 | + | 13.4155i | 1.22119 | + | 0.444477i | 0.870571 | − | 0.492042i | \(-0.163749\pi\) |
0.350618 | + | 0.936519i | \(0.385972\pi\) | |||||||
\(912\) | −2.67813 | − | 0.862465i | −0.0886819 | − | 0.0285591i | ||||
\(913\) | 30.4483 | − | 11.0823i | 1.00769 | − | 0.366770i | ||||
\(914\) | 5.45046 | − | 30.9111i | 0.180285 | − | 1.02245i | ||||
\(915\) | 7.35297 | + | 11.6992i | 0.243082 | + | 0.386764i | ||||
\(916\) | 3.01061 | + | 17.0740i | 0.0994733 | + | 0.564141i | ||||
\(917\) | 25.0920 | + | 25.7065i | 0.828612 | + | 0.848903i | ||||
\(918\) | −18.1687 | − | 4.37930i | −0.599658 | − | 0.144538i | ||||
\(919\) | 11.7174 | + | 20.2951i | 0.386521 | + | 0.669473i | 0.991979 | − | 0.126404i | \(-0.0403434\pi\) |
−0.605458 | + | 0.795877i | \(0.707010\pi\) | |||||||
\(920\) | −28.5317 | − | 10.3847i | −0.940663 | − | 0.342373i | ||||
\(921\) | 11.0163 | − | 0.413463i | 0.363001 | − | 0.0136241i | ||||
\(922\) | −4.93390 | − | 4.14003i | −0.162489 | − | 0.136345i | ||||
\(923\) | 15.9946 | + | 13.4211i | 0.526468 | + | 0.441759i | ||||
\(924\) | 4.52037 | + | 9.08377i | 0.148709 | + | 0.298834i | ||||
\(925\) | −22.5109 | − | 8.19329i | −0.740153 | − | 0.269394i | ||||
\(926\) | 19.1834 | − | 33.2266i | 0.630406 | − | 1.09189i | ||||
\(927\) | 15.2235 | + | 10.9397i | 0.500007 | + | 0.359307i | ||||
\(928\) | −3.36455 | − | 5.82756i | −0.110447 | − | 0.191299i | ||||
\(929\) | 11.8387 | + | 4.30895i | 0.388416 | + | 0.141372i | 0.528844 | − | 0.848719i | \(-0.322626\pi\) |
−0.140428 | + | 0.990091i | \(0.544848\pi\) | |||||||
\(930\) | 47.1824 | + | 36.6652i | 1.54717 | + | 1.20230i | ||||
\(931\) | −7.51767 | + | 8.53132i | −0.246382 | + | 0.279603i | ||||
\(932\) | 2.53226 | − | 14.3612i | 0.0829469 | − | 0.470415i | ||||
\(933\) | 3.49187 | − | 25.3249i | 0.114319 | − | 0.829102i | ||||
\(934\) | −1.07574 | − | 6.10081i | −0.0351992 | − | 0.199625i | ||||
\(935\) | −14.2838 | − | 24.7402i | −0.467129 | − | 0.809091i | ||||
\(936\) | −0.847803 | + | 8.49210i | −0.0277113 | + | 0.277573i | ||||
\(937\) | 7.17883 | + | 12.4341i | 0.234522 | + | 0.406205i | 0.959134 | − | 0.282953i | \(-0.0913141\pi\) |
−0.724611 | + | 0.689158i | \(0.757981\pi\) | |||||||
\(938\) | 12.0168 | + | 1.19796i | 0.392364 | + | 0.0391148i | ||||
\(939\) | 0.404963 | + | 1.88107i | 0.0132155 | + | 0.0613863i | ||||
\(940\) | 3.12294 | − | 17.7111i | 0.101859 | − | 0.577672i | ||||
\(941\) | 7.71320 | − | 43.7438i | 0.251443 | − | 1.42601i | −0.553597 | − | 0.832785i | \(-0.686745\pi\) |
0.805040 | − | 0.593221i | \(-0.202144\pi\) | |||||||
\(942\) | 32.1087 | − | 1.20510i | 1.04616 | − | 0.0392642i | ||||
\(943\) | −69.2153 | + | 58.0785i | −2.25396 | + | 1.89130i | ||||
\(944\) | −2.02143 | −0.0657920 | ||||||||
\(945\) | 7.92295 | − | 48.6765i | 0.257734 | − | 1.58345i | ||||
\(946\) | 4.82500 | 0.156874 | ||||||||
\(947\) | −25.4159 | + | 21.3264i | −0.825904 | + | 0.693016i | −0.954347 | − | 0.298701i | \(-0.903447\pi\) |
0.128442 | + | 0.991717i | \(0.459002\pi\) | |||||||
\(948\) | −0.128498 | + | 0.243198i | −0.00417343 | + | 0.00789870i | ||||
\(949\) | 1.91919 | − | 10.8843i | 0.0622995 | − | 0.353318i | ||||
\(950\) | −2.21957 | + | 12.5878i | −0.0720125 | + | 0.408403i | ||||
\(951\) | 35.0536 | − | 31.7283i | 1.13669 | − | 1.02886i | ||||
\(952\) | −5.55204 | + | 7.72847i | −0.179943 | + | 0.250481i | ||||
\(953\) | −10.8009 | − | 18.7078i | −0.349877 | − | 0.606005i | 0.636350 | − | 0.771400i | \(-0.280443\pi\) |
−0.986227 | + | 0.165395i | \(0.947110\pi\) | |||||||
\(954\) | 32.1105 | + | 9.02658i | 1.03962 | + | 0.292246i | ||||
\(955\) | −6.32826 | − | 10.9609i | −0.204778 | − | 0.354685i | ||||
\(956\) | 0.0411719 | + | 0.233498i | 0.00133160 | + | 0.00755185i | ||||
\(957\) | 20.3766 | + | 15.8346i | 0.658683 | + | 0.511859i | ||||
\(958\) | −5.82320 | + | 33.0250i | −0.188139 | + | 1.06699i | ||||
\(959\) | 33.3750 | + | 16.0573i | 1.07773 | + | 0.518517i | ||||
\(960\) | 0.848687 | − | 6.15514i | 0.0273913 | − | 0.198656i | ||||
\(961\) | −57.7780 | − | 21.0295i | −1.86381 | − | 0.678370i | ||||
\(962\) | 4.33036 | + | 7.50040i | 0.139616 | + | 0.241823i | ||||
\(963\) | −29.7166 | + | 2.23378i | −0.957604 | + | 0.0719826i | ||||
\(964\) | 3.17962 | − | 5.50726i | 0.102409 | − | 0.177377i | ||||
\(965\) | 21.8522 | + | 7.95356i | 0.703448 | + | 0.256034i | ||||
\(966\) | −17.2802 | − | 34.7249i | −0.555981 | − | 1.11726i | ||||
\(967\) | −36.0689 | − | 30.2654i | −1.15990 | − | 0.973269i | −0.159993 | − | 0.987118i | \(-0.551147\pi\) |
−0.999904 | + | 0.0138489i | \(0.995592\pi\) | |||||||
\(968\) | 4.67110 | + | 3.91952i | 0.150135 | + | 0.125978i | ||||
\(969\) | 5.38496 | + | 8.56794i | 0.172990 | + | 0.275242i | ||||
\(970\) | −1.92544 | − | 0.700804i | −0.0618223 | − | 0.0225015i | ||||
\(971\) | 27.4481 | + | 47.5416i | 0.880853 | + | 1.52568i | 0.850395 | + | 0.526146i | \(0.176363\pi\) |
0.0304582 | + | 0.999536i | \(0.490303\pi\) | |||||||
\(972\) | 13.6005 | + | 7.61756i | 0.436235 | + | 0.244333i | ||||
\(973\) | 47.9713 | − | 12.2339i | 1.53789 | − | 0.392202i | ||||
\(974\) | 2.69417 | + | 15.2794i | 0.0863268 | + | 0.489584i | ||||
\(975\) | 38.7438 | − | 1.45412i | 1.24080 | − | 0.0465693i | ||||
\(976\) | −0.386180 | + | 2.19013i | −0.0123613 | + | 0.0701044i | ||||
\(977\) | 53.8113 | − | 19.5857i | 1.72158 | − | 0.626602i | 0.723601 | − | 0.690218i | \(-0.242486\pi\) |
0.997974 | + | 0.0636160i | \(0.0202633\pi\) | |||||||
\(978\) | −4.81192 | − | 22.3515i | −0.153868 | − | 0.714724i | ||||
\(979\) | −28.8917 | − | 10.5157i | −0.923381 | − | 0.336083i | ||||
\(980\) | −21.4367 | − | 13.0779i | −0.684771 | − | 0.417757i | ||||
\(981\) | 14.4360 | + | 21.1633i | 0.460905 | + | 0.675692i | ||||
\(982\) | 22.9614 | 0.732728 | ||||||||
\(983\) | −1.87437 | − | 10.6301i | −0.0597831 | − | 0.339047i | 0.940216 | − | 0.340580i | \(-0.110623\pi\) |
−0.999999 | + | 0.00153263i | \(0.999512\pi\) | |||||||
\(984\) | −14.5998 | − | 11.3455i | −0.465426 | − | 0.361680i | ||||
\(985\) | 17.6216 | − | 6.41375i | 0.561472 | − | 0.204359i | ||||
\(986\) | −4.20274 | + | 23.8349i | −0.133842 | + | 0.759058i | ||||
\(987\) | 18.4782 | − | 13.6514i | 0.588168 | − | 0.434529i | ||||
\(988\) | 3.53998 | − | 2.97039i | 0.112622 | − | 0.0945008i | ||||
\(989\) | −18.4447 | −0.586508 | ||||||||
\(990\) | 5.88502 | + | 23.0899i | 0.187038 | + | 0.733844i | ||||
\(991\) | −39.7060 | −1.26130 | −0.630652 | − | 0.776066i | \(-0.717212\pi\) | ||||
−0.630652 | + | 0.776066i | \(0.717212\pi\) | |||||||
\(992\) | 1.66997 | + | 9.47086i | 0.0530216 | + | 0.300700i | ||||
\(993\) | −33.9383 | + | 30.7188i | −1.07700 | + | 0.974831i | ||||
\(994\) | −1.45835 | − | 19.3639i | −0.0462561 | − | 0.614185i | ||||
\(995\) | 45.7872 | − | 16.6652i | 1.45155 | − | 0.528322i | ||||
\(996\) | −13.4882 | − | 21.4609i | −0.427390 | − | 0.680015i | ||||
\(997\) | −23.0885 | − | 8.40354i | −0.731221 | − | 0.266143i | −0.0505395 | − | 0.998722i | \(-0.516094\pi\) |
−0.680682 | + | 0.732579i | \(0.738316\pi\) | |||||||
\(998\) | −15.4374 | + | 26.7383i | −0.488661 | + | 0.846386i | ||||
\(999\) | 15.7193 | − | 1.77659i | 0.497335 | − | 0.0562089i |
(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 | 378.2.v.a.67.4 | ✓ | 72 | |
7.2 | even | 3 | 378.2.w.b.121.12 | yes | 72 | ||
27.25 | even | 9 | 378.2.w.b.25.12 | yes | 72 | ||
189.79 | even | 9 | inner | 378.2.v.a.79.4 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.a.67.4 | ✓ | 72 | 1.1 | even | 1 | trivial | |
378.2.v.a.79.4 | yes | 72 | 189.79 | even | 9 | inner | |
378.2.w.b.25.12 | yes | 72 | 27.25 | even | 9 | ||
378.2.w.b.121.12 | yes | 72 | 7.2 | even | 3 |