Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(29,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.p (of order \(14\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 239.24 | ||
Character | \(\chi\) | \(=\) | 490.239 |
Dual form | 490.2.p.a.449.24 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.781831 | + | 0.623490i | 0.552838 | + | 0.440874i | ||||
\(3\) | 0.609689 | − | 1.26603i | 0.352004 | − | 0.730944i | −0.647512 | − | 0.762055i | \(-0.724190\pi\) |
0.999516 | + | 0.0311116i | \(0.00990471\pi\) | |||||||
\(4\) | 0.222521 | + | 0.974928i | 0.111260 | + | 0.487464i | ||||
\(5\) | 0.585392 | + | 2.15808i | 0.261795 | + | 0.965123i | ||||
\(6\) | 1.26603 | − | 0.609689i | 0.516855 | − | 0.248904i | ||||
\(7\) | −2.32947 | + | 1.25442i | −0.880457 | + | 0.474127i | ||||
\(8\) | −0.433884 | + | 0.900969i | −0.153401 | + | 0.318541i | ||||
\(9\) | 0.639354 | + | 0.801724i | 0.213118 | + | 0.267241i | ||||
\(10\) | −0.887864 | + | 2.05224i | −0.280767 | + | 0.648976i | ||||
\(11\) | 0.870567 | − | 1.09166i | 0.262486 | − | 0.329147i | −0.633071 | − | 0.774094i | \(-0.718206\pi\) |
0.895557 | + | 0.444947i | \(0.146777\pi\) | |||||||
\(12\) | 1.36996 | + | 0.312684i | 0.395473 | + | 0.0902641i | ||||
\(13\) | 4.70553 | + | 3.75254i | 1.30508 | + | 1.04077i | 0.995965 | + | 0.0897420i | \(0.0286042\pi\) |
0.309115 | + | 0.951025i | \(0.399967\pi\) | |||||||
\(14\) | −2.60337 | − | 0.471655i | −0.695780 | − | 0.126055i | ||||
\(15\) | 3.08911 | + | 0.574633i | 0.797604 | + | 0.148370i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | −5.50433 | − | 1.25633i | −1.33500 | − | 0.304704i | −0.505311 | − | 0.862937i | \(-0.668622\pi\) |
−0.829684 | + | 0.558233i | \(0.811479\pi\) | |||||||
\(18\) | 1.02544i | 0.241699i | ||||||||
\(19\) | −0.518040 | −0.118846 | −0.0594232 | − | 0.998233i | \(-0.518926\pi\) | ||||
−0.0594232 | + | 0.998233i | \(0.518926\pi\) | |||||||
\(20\) | −1.97371 | + | 1.05093i | −0.441335 | + | 0.234996i | ||||
\(21\) | 0.167885 | + | 3.71399i | 0.0366356 | + | 0.810459i | ||||
\(22\) | 1.36127 | − | 0.310702i | 0.290225 | − | 0.0662419i | ||||
\(23\) | 3.76279 | − | 0.858833i | 0.784597 | − | 0.179079i | 0.188587 | − | 0.982056i | \(-0.439609\pi\) |
0.596009 | + | 0.802977i | \(0.296752\pi\) | |||||||
\(24\) | 0.876121 | + | 1.09862i | 0.178837 | + | 0.224255i | ||||
\(25\) | −4.31463 | + | 2.52665i | −0.862926 | + | 0.505330i | ||||
\(26\) | 1.33927 | + | 5.86770i | 0.262652 | + | 1.15075i | ||||
\(27\) | 5.51469 | − | 1.25869i | 1.06130 | − | 0.242235i | ||||
\(28\) | −1.74133 | − | 1.99193i | −0.329080 | − | 0.376439i | ||||
\(29\) | 0.815196 | − | 3.57161i | 0.151378 | − | 0.663231i | −0.841107 | − | 0.540868i | \(-0.818096\pi\) |
0.992485 | − | 0.122362i | \(-0.0390470\pi\) | |||||||
\(30\) | 2.05688 | + | 2.37529i | 0.375534 | + | 0.433667i | ||||
\(31\) | 9.05372 | 1.62610 | 0.813048 | − | 0.582196i | \(-0.197806\pi\) | ||||
0.813048 | + | 0.582196i | \(0.197806\pi\) | |||||||
\(32\) | −0.974928 | − | 0.222521i | −0.172345 | − | 0.0393365i | ||||
\(33\) | −0.851297 | − | 1.76774i | −0.148192 | − | 0.307723i | ||||
\(34\) | −3.52015 | − | 4.41413i | −0.603701 | − | 0.757017i | ||||
\(35\) | −4.07080 | − | 4.29286i | −0.688090 | − | 0.725625i | ||||
\(36\) | −0.639354 | + | 0.801724i | −0.106559 | + | 0.133621i | ||||
\(37\) | −9.64036 | − | 2.20035i | −1.58487 | − | 0.361735i | −0.662808 | − | 0.748789i | \(-0.730636\pi\) |
−0.922057 | + | 0.387054i | \(0.873493\pi\) | |||||||
\(38\) | −0.405020 | − | 0.322992i | −0.0657029 | − | 0.0523963i | ||||
\(39\) | 7.61974 | − | 3.66947i | 1.22014 | − | 0.587586i | ||||
\(40\) | −2.19836 | − | 0.408936i | −0.347591 | − | 0.0646585i | ||||
\(41\) | 1.08410 | + | 0.522075i | 0.169308 | + | 0.0815344i | 0.516618 | − | 0.856216i | \(-0.327191\pi\) |
−0.347310 | + | 0.937750i | \(0.612905\pi\) | |||||||
\(42\) | −2.18438 | + | 3.00839i | −0.337057 | + | 0.464204i | ||||
\(43\) | −3.28740 | − | 6.82635i | −0.501324 | − | 1.04101i | −0.986066 | − | 0.166352i | \(-0.946801\pi\) |
0.484743 | − | 0.874657i | \(-0.338913\pi\) | |||||||
\(44\) | 1.25801 | + | 0.605824i | 0.189652 | + | 0.0913314i | ||||
\(45\) | −1.35591 | + | 1.84910i | −0.202128 | + | 0.275648i | ||||
\(46\) | 3.47734 | + | 1.67460i | 0.512706 | + | 0.246906i | ||||
\(47\) | 2.36623 | + | 1.88701i | 0.345151 | + | 0.275248i | 0.780686 | − | 0.624923i | \(-0.214870\pi\) |
−0.435536 | + | 0.900171i | \(0.643441\pi\) | |||||||
\(48\) | 1.40519i | 0.202822i | ||||||||
\(49\) | 3.85286 | − | 5.84427i | 0.550408 | − | 0.834896i | ||||
\(50\) | −4.94865 | − | 0.714716i | −0.699845 | − | 0.101076i | ||||
\(51\) | −4.94647 | + | 6.20268i | −0.692645 | + | 0.868549i | ||||
\(52\) | −2.61137 | + | 5.42257i | −0.362132 | + | 0.751976i | ||||
\(53\) | 8.79601 | − | 2.00763i | 1.20822 | − | 0.275769i | 0.429460 | − | 0.903086i | \(-0.358704\pi\) |
0.778765 | + | 0.627316i | \(0.215847\pi\) | |||||||
\(54\) | 5.09634 | + | 2.45427i | 0.693524 | + | 0.333984i | ||||
\(55\) | 2.86551 | + | 1.23971i | 0.386385 | + | 0.167162i | ||||
\(56\) | −0.119475 | − | 2.64305i | −0.0159655 | − | 0.353193i | ||||
\(57\) | −0.315843 | + | 0.655855i | −0.0418344 | + | 0.0868701i | ||||
\(58\) | 2.86421 | − | 2.28413i | 0.376089 | − | 0.299921i | ||||
\(59\) | −3.85188 | + | 1.85497i | −0.501472 | + | 0.241496i | −0.667480 | − | 0.744628i | \(-0.732627\pi\) |
0.166007 | + | 0.986125i | \(0.446913\pi\) | |||||||
\(60\) | 0.127165 | + | 3.13952i | 0.0164170 | + | 0.405311i | ||||
\(61\) | 0.387284 | − | 1.69680i | 0.0495866 | − | 0.217253i | −0.944064 | − | 0.329762i | \(-0.893032\pi\) |
0.993651 | + | 0.112509i | \(0.0358887\pi\) | |||||||
\(62\) | 7.07849 | + | 5.64490i | 0.898969 | + | 0.716903i | ||||
\(63\) | −2.49505 | − | 1.06557i | −0.314347 | − | 0.134250i | ||||
\(64\) | −0.623490 | − | 0.781831i | −0.0779362 | − | 0.0977289i | ||||
\(65\) | −5.34370 | + | 12.3516i | −0.662804 | + | 1.53203i | ||||
\(66\) | 0.436595 | − | 1.91285i | 0.0537411 | − | 0.235455i | ||||
\(67\) | − | 12.7488i | − | 1.55751i | −0.627329 | − | 0.778754i | \(-0.715852\pi\) | ||
0.627329 | − | 0.778754i | \(-0.284148\pi\) | |||||||
\(68\) | − | 5.64588i | − | 0.684664i | ||||||
\(69\) | 1.20682 | − | 5.28744i | 0.145284 | − | 0.636532i | ||||
\(70\) | −0.506124 | − | 5.89439i | −0.0604933 | − | 0.704514i | ||||
\(71\) | −0.131676 | − | 0.576909i | −0.0156270 | − | 0.0684665i | 0.966513 | − | 0.256617i | \(-0.0826079\pi\) |
−0.982140 | + | 0.188150i | \(0.939751\pi\) | |||||||
\(72\) | −0.999734 | + | 0.228183i | −0.117820 | + | 0.0268916i | ||||
\(73\) | −10.5778 | + | 8.43551i | −1.23804 | + | 0.987302i | −0.238166 | + | 0.971224i | \(0.576546\pi\) |
−0.999871 | + | 0.0160774i | \(0.994882\pi\) | |||||||
\(74\) | −6.16524 | − | 7.73097i | −0.716695 | − | 0.898707i | ||||
\(75\) | 0.568234 | + | 7.00293i | 0.0656140 | + | 0.808629i | ||||
\(76\) | −0.115275 | − | 0.505051i | −0.0132229 | − | 0.0579334i | ||||
\(77\) | −0.658563 | + | 3.63504i | −0.0750502 | + | 0.414251i | ||||
\(78\) | 8.24523 | + | 1.88192i | 0.933589 | + | 0.213086i | ||||
\(79\) | −13.0654 | −1.46997 | −0.734984 | − | 0.678084i | \(-0.762810\pi\) | ||||
−0.734984 | + | 0.678084i | \(0.762810\pi\) | |||||||
\(80\) | −1.46378 | − | 1.69037i | −0.163655 | − | 0.188989i | ||||
\(81\) | 1.08415 | − | 4.74998i | 0.120461 | − | 0.527776i | ||||
\(82\) | 0.522075 | + | 1.08410i | 0.0576536 | + | 0.119719i | ||||
\(83\) | 0.153853 | − | 0.122694i | 0.0168876 | − | 0.0134674i | −0.615010 | − | 0.788520i | \(-0.710848\pi\) |
0.631897 | + | 0.775052i | \(0.282276\pi\) | |||||||
\(84\) | −3.58351 | + | 0.990116i | −0.390993 | + | 0.108031i | ||||
\(85\) | −0.510934 | − | 12.6142i | −0.0554186 | − | 1.36821i | ||||
\(86\) | 1.68597 | − | 7.38672i | 0.181803 | − | 0.796530i | ||||
\(87\) | −4.02475 | − | 3.20963i | −0.431499 | − | 0.344109i | ||||
\(88\) | 0.605824 | + | 1.25801i | 0.0645810 | + | 0.134104i | ||||
\(89\) | 4.00589 | + | 5.02322i | 0.424623 | + | 0.532461i | 0.947418 | − | 0.319998i | \(-0.103682\pi\) |
−0.522795 | + | 0.852458i | \(0.675111\pi\) | |||||||
\(90\) | −2.21299 | + | 0.600287i | −0.233270 | + | 0.0632758i | ||||
\(91\) | −15.6687 | − | 2.83870i | −1.64252 | − | 0.297577i | ||||
\(92\) | 1.67460 | + | 3.47734i | 0.174589 | + | 0.362538i | ||||
\(93\) | 5.51995 | − | 11.4623i | 0.572392 | − | 1.18859i | ||||
\(94\) | 0.673466 | + | 2.95065i | 0.0694627 | + | 0.304336i | ||||
\(95\) | −0.303256 | − | 1.11797i | −0.0311135 | − | 0.114702i | ||||
\(96\) | −0.876121 | + | 1.09862i | −0.0894187 | + | 0.112128i | ||||
\(97\) | 9.57361i | 0.972052i | 0.873944 | + | 0.486026i | \(0.161554\pi\) | ||||
−0.873944 | + | 0.486026i | \(0.838446\pi\) | |||||||
\(98\) | 6.65613 | − | 2.16702i | 0.672370 | − | 0.218902i | ||||
\(99\) | 1.43181 | 0.143902 | ||||||||
\(100\) | −3.42340 | − | 3.64422i | −0.342340 | − | 0.364422i | ||||
\(101\) | −16.7881 | − | 8.08472i | −1.67048 | − | 0.804459i | −0.997923 | − | 0.0644112i | \(-0.979483\pi\) |
−0.672554 | − | 0.740048i | \(-0.734803\pi\) | |||||||
\(102\) | −7.73462 | + | 1.76538i | −0.765841 | + | 0.174798i | ||||
\(103\) | 5.63633 | − | 11.7040i | 0.555364 | − | 1.15322i | −0.414606 | − | 0.910001i | \(-0.636081\pi\) |
0.969970 | − | 0.243224i | \(-0.0782050\pi\) | |||||||
\(104\) | −5.42257 | + | 2.61137i | −0.531727 | + | 0.256066i | ||||
\(105\) | −7.91681 | + | 2.53645i | −0.772602 | + | 0.247532i | ||||
\(106\) | 8.12873 | + | 3.91459i | 0.789533 | + | 0.380219i | ||||
\(107\) | 9.52237 | − | 7.59384i | 0.920563 | − | 0.734124i | −0.0437077 | − | 0.999044i | \(-0.513917\pi\) |
0.964270 | + | 0.264920i | \(0.0853456\pi\) | |||||||
\(108\) | 2.45427 | + | 5.09634i | 0.236162 | + | 0.490395i | ||||
\(109\) | 0.880040 | − | 1.10354i | 0.0842925 | − | 0.105700i | −0.737897 | − | 0.674913i | \(-0.764181\pi\) |
0.822189 | + | 0.569214i | \(0.192752\pi\) | |||||||
\(110\) | 1.46740 | + | 2.75586i | 0.139911 | + | 0.262761i | ||||
\(111\) | −8.66333 | + | 10.8635i | −0.822287 | + | 1.03112i | ||||
\(112\) | 1.55451 | − | 2.14091i | 0.146887 | − | 0.202297i | ||||
\(113\) | 10.3394 | − | 8.24541i | 0.972650 | − | 0.775663i | −0.00186170 | − | 0.999998i | \(-0.500593\pi\) |
0.974512 | + | 0.224336i | \(0.0720212\pi\) | |||||||
\(114\) | −0.655855 | + | 0.315843i | −0.0614264 | + | 0.0295814i | ||||
\(115\) | 4.05614 | + | 7.61766i | 0.378237 | + | 0.710350i | ||||
\(116\) | 3.66346 | 0.340143 | ||||||||
\(117\) | 6.17174i | 0.570577i | ||||||||
\(118\) | −4.16808 | − | 0.951336i | −0.383703 | − | 0.0875776i | ||||
\(119\) | 14.3981 | − | 3.97817i | 1.31987 | − | 0.364678i | ||||
\(120\) | −1.85804 | + | 2.53386i | −0.169615 | + | 0.231309i | ||||
\(121\) | 2.01390 | + | 8.82349i | 0.183082 | + | 0.802135i | ||||
\(122\) | 1.36073 | − | 1.08514i | 0.123195 | − | 0.0982444i | ||||
\(123\) | 1.32193 | − | 1.05420i | 0.119194 | − | 0.0950542i | ||||
\(124\) | 2.01464 | + | 8.82673i | 0.180920 | + | 0.792663i | ||||
\(125\) | −7.97846 | − | 7.83225i | −0.713616 | − | 0.700538i | ||||
\(126\) | −1.28634 | − | 2.38874i | −0.114596 | − | 0.212806i | ||||
\(127\) | −2.84104 | − | 0.648450i | −0.252102 | − | 0.0575406i | 0.0946022 | − | 0.995515i | \(-0.469842\pi\) |
−0.346704 | + | 0.937975i | \(0.612699\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −10.6467 | −0.937387 | ||||||||
\(130\) | −11.8790 | + | 6.32515i | −1.04186 | + | 0.554752i | ||||
\(131\) | 4.21344 | − | 2.02908i | 0.368130 | − | 0.177282i | −0.240668 | − | 0.970608i | \(-0.577366\pi\) |
0.608798 | + | 0.793326i | \(0.291652\pi\) | |||||||
\(132\) | 1.53398 | − | 1.22331i | 0.133516 | − | 0.106476i | ||||
\(133\) | 1.20676 | − | 0.649840i | 0.104639 | − | 0.0563483i | ||||
\(134\) | 7.94872 | − | 9.96738i | 0.686665 | − | 0.861050i | ||||
\(135\) | 5.94462 | + | 11.1643i | 0.511631 | + | 0.960872i | ||||
\(136\) | 3.52015 | − | 4.41413i | 0.301850 | − | 0.378508i | ||||
\(137\) | −5.40202 | − | 11.2174i | −0.461526 | − | 0.958368i | −0.993736 | − | 0.111756i | \(-0.964353\pi\) |
0.532210 | − | 0.846612i | \(-0.321362\pi\) | |||||||
\(138\) | 4.24019 | − | 3.38144i | 0.360949 | − | 0.287847i | ||||
\(139\) | 0.255544 | + | 0.123063i | 0.0216749 | + | 0.0104381i | 0.444690 | − | 0.895685i | \(-0.353314\pi\) |
−0.423015 | + | 0.906123i | \(0.639028\pi\) | |||||||
\(140\) | 3.27939 | − | 4.92398i | 0.277159 | − | 0.416153i | ||||
\(141\) | 3.83168 | − | 1.84524i | 0.322686 | − | 0.155397i | ||||
\(142\) | 0.256748 | − | 0.533144i | 0.0215459 | − | 0.0447404i | ||||
\(143\) | 8.19297 | − | 1.86999i | 0.685130 | − | 0.156376i | ||||
\(144\) | −0.923893 | − | 0.444923i | −0.0769911 | − | 0.0370769i | ||||
\(145\) | 8.18503 | − | 0.331531i | 0.679729 | − | 0.0275322i | ||||
\(146\) | −13.5295 | −1.11971 | ||||||||
\(147\) | −5.04999 | − | 8.44102i | −0.416516 | − | 0.696204i | ||||
\(148\) | − | 9.88828i | − | 0.812812i | ||||||
\(149\) | 6.90454 | − | 8.65802i | 0.565642 | − | 0.709293i | −0.413947 | − | 0.910301i | \(-0.635850\pi\) |
0.979590 | + | 0.201008i | \(0.0644217\pi\) | |||||||
\(150\) | −3.92199 | + | 5.82940i | −0.320229 | + | 0.475968i | ||||
\(151\) | −1.83898 | − | 8.05709i | −0.149654 | − | 0.655676i | −0.992981 | − | 0.118276i | \(-0.962263\pi\) |
0.843327 | − | 0.537401i | \(-0.180594\pi\) | |||||||
\(152\) | 0.224769 | − | 0.466738i | 0.0182312 | − | 0.0378574i | ||||
\(153\) | −2.51198 | − | 5.21619i | −0.203082 | − | 0.421704i | ||||
\(154\) | −2.78129 | + | 2.43138i | −0.224123 | + | 0.195926i | ||||
\(155\) | 5.29998 | + | 19.5387i | 0.425704 | + | 1.56938i | ||||
\(156\) | 5.27302 | + | 6.61216i | 0.422180 | + | 0.529397i | ||||
\(157\) | 9.94732 | + | 20.6558i | 0.793882 | + | 1.64851i | 0.760735 | + | 0.649063i | \(0.224839\pi\) |
0.0331474 | + | 0.999450i | \(0.489447\pi\) | |||||||
\(158\) | −10.2149 | − | 8.14612i | −0.812655 | − | 0.648070i | ||||
\(159\) | 2.82110 | − | 12.3601i | 0.223728 | − | 0.980216i | ||||
\(160\) | −0.0904968 | − | 2.23424i | −0.00715440 | − | 0.176632i | ||||
\(161\) | −7.68797 | + | 6.72075i | −0.605897 | + | 0.529669i | ||||
\(162\) | 3.80919 | − | 3.03773i | 0.299278 | − | 0.238666i | ||||
\(163\) | 4.57843 | + | 9.50720i | 0.358610 | + | 0.744661i | 0.999741 | − | 0.0227703i | \(-0.00724863\pi\) |
−0.641131 | + | 0.767432i | \(0.721534\pi\) | |||||||
\(164\) | −0.267751 | + | 1.17309i | −0.0209078 | + | 0.0916031i | ||||
\(165\) | 3.31658 | − | 2.87199i | 0.258195 | − | 0.223584i | ||||
\(166\) | 0.196786 | 0.0152735 | ||||||||
\(167\) | 13.8543 | + | 3.16216i | 1.07208 | + | 0.244695i | 0.721907 | − | 0.691990i | \(-0.243266\pi\) |
0.350172 | + | 0.936685i | \(0.386123\pi\) | |||||||
\(168\) | −3.41903 | − | 1.46018i | −0.263784 | − | 0.112655i | ||||
\(169\) | 5.16773 | + | 22.6413i | 0.397518 | + | 1.74164i | ||||
\(170\) | 7.46538 | − | 10.1808i | 0.572568 | − | 0.780829i | ||||
\(171\) | −0.331211 | − | 0.415325i | −0.0253283 | − | 0.0317607i | ||||
\(172\) | 5.92369 | − | 4.72398i | 0.451677 | − | 0.360200i | ||||
\(173\) | 17.2988 | − | 3.94833i | 1.31520 | − | 0.300186i | 0.493322 | − | 0.869847i | \(-0.335782\pi\) |
0.821880 | + | 0.569661i | \(0.192925\pi\) | |||||||
\(174\) | −1.14550 | − | 5.01878i | −0.0868405 | − | 0.380473i | ||||
\(175\) | 6.88132 | − | 11.2981i | 0.520179 | − | 0.854057i | ||||
\(176\) | −0.310702 | + | 1.36127i | −0.0234200 | + | 0.102610i | ||||
\(177\) | 6.00756i | 0.451556i | ||||||||
\(178\) | 6.42494i | 0.481570i | ||||||||
\(179\) | −1.62917 | + | 7.13784i | −0.121770 | + | 0.533507i | 0.876840 | + | 0.480783i | \(0.159648\pi\) |
−0.998609 | + | 0.0527242i | \(0.983210\pi\) | |||||||
\(180\) | −2.10446 | − | 0.910454i | −0.156857 | − | 0.0678613i | ||||
\(181\) | 0.851985 | + | 1.06836i | 0.0633275 | + | 0.0794102i | 0.812486 | − | 0.582980i | \(-0.198113\pi\) |
−0.749159 | + | 0.662390i | \(0.769542\pi\) | |||||||
\(182\) | −10.4803 | − | 11.9886i | −0.776855 | − | 0.888657i | ||||
\(183\) | −1.91208 | − | 1.52483i | −0.141345 | − | 0.112719i | ||||
\(184\) | −0.858833 | + | 3.76279i | −0.0633140 | + | 0.277397i | ||||
\(185\) | −0.894858 | − | 22.0928i | −0.0657913 | − | 1.62429i | ||||
\(186\) | 11.4623 | − | 5.51995i | 0.840457 | − | 0.404743i | ||||
\(187\) | −6.16336 | + | 4.91512i | −0.450710 | + | 0.359429i | ||||
\(188\) | −1.31316 | + | 2.72681i | −0.0957721 | + | 0.198873i | ||||
\(189\) | −11.2674 | + | 9.84983i | −0.819581 | + | 0.716469i | ||||
\(190\) | 0.459949 | − | 1.06314i | 0.0333682 | − | 0.0771285i | ||||
\(191\) | −10.2516 | − | 4.93690i | −0.741778 | − | 0.357221i | 0.0245266 | − | 0.999699i | \(-0.492192\pi\) |
−0.766304 | + | 0.642478i | \(0.777906\pi\) | |||||||
\(192\) | −1.36996 | + | 0.312684i | −0.0988682 | + | 0.0225660i | ||||
\(193\) | −0.661163 | + | 1.37292i | −0.0475916 | + | 0.0988249i | −0.923409 | − | 0.383818i | \(-0.874609\pi\) |
0.875817 | + | 0.482643i | \(0.160323\pi\) | |||||||
\(194\) | −5.96905 | + | 7.48495i | −0.428552 | + | 0.537388i | ||||
\(195\) | 12.3796 | + | 14.2959i | 0.886519 | + | 1.02375i | ||||
\(196\) | 6.55508 | + | 2.45578i | 0.468220 | + | 0.175413i | ||||
\(197\) | − | 2.17170i | − | 0.154727i | −0.997003 | − | 0.0773637i | \(-0.975350\pi\) | ||
0.997003 | − | 0.0773637i | \(-0.0246503\pi\) | |||||||
\(198\) | 1.11943 | + | 0.892718i | 0.0795546 | + | 0.0634427i | ||||
\(199\) | −8.39501 | − | 4.04282i | −0.595106 | − | 0.286588i | 0.111985 | − | 0.993710i | \(-0.464279\pi\) |
−0.707092 | + | 0.707122i | \(0.749993\pi\) | |||||||
\(200\) | −0.404383 | − | 4.98362i | −0.0285942 | − | 0.352395i | ||||
\(201\) | −16.1403 | − | 7.77277i | −1.13845 | − | 0.548249i | ||||
\(202\) | −8.08472 | − | 16.7881i | −0.568839 | − | 1.18121i | ||||
\(203\) | 2.58132 | + | 9.34255i | 0.181173 | + | 0.655718i | ||||
\(204\) | −7.14786 | − | 3.44223i | −0.500451 | − | 0.241004i | ||||
\(205\) | −0.492057 | + | 2.64520i | −0.0343667 | + | 0.184748i | ||||
\(206\) | 11.7040 | − | 5.63633i | 0.815453 | − | 0.392701i | ||||
\(207\) | 3.09430 | + | 2.46762i | 0.215069 | + | 0.171512i | ||||
\(208\) | −5.86770 | − | 1.33927i | −0.406852 | − | 0.0928613i | ||||
\(209\) | −0.450988 | + | 0.565522i | −0.0311955 | + | 0.0391179i | ||||
\(210\) | −7.77106 | − | 2.95297i | −0.536254 | − | 0.203775i | ||||
\(211\) | 10.9896 | + | 13.7805i | 0.756552 | + | 0.948686i | 0.999773 | − | 0.0212847i | \(-0.00677566\pi\) |
−0.243222 | + | 0.969971i | \(0.578204\pi\) | |||||||
\(212\) | 3.91459 | + | 8.12873i | 0.268855 | + | 0.558284i | ||||
\(213\) | −0.810666 | − | 0.185029i | −0.0555459 | − | 0.0126780i | ||||
\(214\) | 12.1796 | 0.832579 | ||||||||
\(215\) | 12.8074 | − | 11.0906i | 0.873458 | − | 0.756370i | ||||
\(216\) | −1.25869 | + | 5.51469i | −0.0856431 | + | 0.375227i | ||||
\(217\) | −21.0904 | + | 11.3572i | −1.43171 | + | 0.770975i | ||||
\(218\) | 1.37609 | − | 0.314083i | 0.0932003 | − | 0.0212724i | ||||
\(219\) | 4.23046 | + | 18.5349i | 0.285868 | + | 1.25247i | ||||
\(220\) | −0.570990 | + | 3.06952i | −0.0384962 | + | 0.206947i | ||||
\(221\) | −21.1864 | − | 26.5669i | −1.42515 | − | 1.78708i | ||||
\(222\) | −13.5465 | + | 3.09191i | −0.909184 | + | 0.207515i | ||||
\(223\) | −12.0251 | + | 2.74466i | −0.805262 | + | 0.183796i | −0.605289 | − | 0.796006i | \(-0.706943\pi\) |
−0.199973 | + | 0.979801i | \(0.564085\pi\) | |||||||
\(224\) | 2.55020 | − | 0.704614i | 0.170392 | − | 0.0470790i | ||||
\(225\) | −4.78425 | − | 1.84372i | −0.318950 | − | 0.122915i | ||||
\(226\) | 13.2246 | 0.879688 | ||||||||
\(227\) | 22.2841i | 1.47905i | 0.673131 | + | 0.739523i | \(0.264949\pi\) | ||||
−0.673131 | + | 0.739523i | \(0.735051\pi\) | |||||||
\(228\) | −0.709693 | − | 0.161983i | −0.0470005 | − | 0.0107276i | ||||
\(229\) | −21.6735 | + | 10.4374i | −1.43223 | + | 0.689724i | −0.979410 | − | 0.201879i | \(-0.935295\pi\) |
−0.452817 | + | 0.891603i | \(0.649581\pi\) | |||||||
\(230\) | −1.57831 | + | 8.48469i | −0.104071 | + | 0.559464i | ||||
\(231\) | 4.20056 | + | 3.05000i | 0.276376 | + | 0.200675i | ||||
\(232\) | 2.86421 | + | 2.28413i | 0.188044 | + | 0.149960i | ||||
\(233\) | −7.87070 | − | 1.79644i | −0.515626 | − | 0.117688i | −0.0432138 | − | 0.999066i | \(-0.513760\pi\) |
−0.472413 | + | 0.881377i | \(0.656617\pi\) | |||||||
\(234\) | −3.84802 | + | 4.82526i | −0.251553 | + | 0.315437i | ||||
\(235\) | −2.68714 | + | 6.21117i | −0.175290 | + | 0.405172i | ||||
\(236\) | −2.66559 | − | 3.34254i | −0.173515 | − | 0.217581i | ||||
\(237\) | −7.96580 | + | 16.5412i | −0.517435 | + | 1.07446i | ||||
\(238\) | 13.7373 | + | 5.86683i | 0.890454 | + | 0.380290i | ||||
\(239\) | −0.457293 | + | 0.220221i | −0.0295798 | + | 0.0142449i | −0.448615 | − | 0.893725i | \(-0.648083\pi\) |
0.419035 | + | 0.907970i | \(0.362368\pi\) | |||||||
\(240\) | −3.03251 | + | 0.822587i | −0.195748 | + | 0.0530977i | ||||
\(241\) | −3.35728 | − | 14.7092i | −0.216262 | − | 0.947504i | −0.960213 | − | 0.279270i | \(-0.909908\pi\) |
0.743951 | − | 0.668234i | \(-0.232950\pi\) | |||||||
\(242\) | −3.92682 | + | 8.15413i | −0.252426 | + | 0.524167i | ||||
\(243\) | 7.91468 | + | 6.31175i | 0.507727 | + | 0.404899i | ||||
\(244\) | 1.74044 | 0.111420 | ||||||||
\(245\) | 14.8678 | + | 4.89359i | 0.949872 | + | 0.312640i | ||||
\(246\) | 1.69081 | 0.107802 | ||||||||
\(247\) | −2.43765 | − | 1.94396i | −0.155104 | − | 0.123691i | ||||
\(248\) | −3.92826 | + | 8.15712i | −0.249445 | + | 0.517978i | ||||
\(249\) | −0.0615317 | − | 0.269588i | −0.00389942 | − | 0.0170845i | ||||
\(250\) | −1.35449 | − | 11.0980i | −0.0856653 | − | 0.701898i | ||||
\(251\) | −13.6237 | + | 6.56081i | −0.859918 | + | 0.414115i | −0.811249 | − | 0.584700i | \(-0.801212\pi\) |
−0.0486685 | + | 0.998815i | \(0.515498\pi\) | |||||||
\(252\) | 0.483655 | − | 2.66961i | 0.0304674 | − | 0.168170i | ||||
\(253\) | 2.33821 | − | 4.85535i | 0.147002 | − | 0.305253i | ||||
\(254\) | −1.81692 | − | 2.27834i | −0.114003 | − | 0.142956i | ||||
\(255\) | −16.2815 | − | 7.04389i | −1.01959 | − | 0.441106i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | 11.1586 | + | 2.54688i | 0.696056 | + | 0.158870i | 0.555888 | − | 0.831257i | \(-0.312378\pi\) |
0.140169 | + | 0.990128i | \(0.455236\pi\) | |||||||
\(258\) | −8.32390 | − | 6.63809i | −0.518223 | − | 0.413269i | ||||
\(259\) | 25.2171 | − | 6.96742i | 1.56691 | − | 0.432935i | ||||
\(260\) | −13.2310 | − | 2.46123i | −0.820554 | − | 0.152639i | ||||
\(261\) | 3.38464 | − | 1.62996i | 0.209504 | − | 0.100892i | ||||
\(262\) | 4.55931 | + | 1.04063i | 0.281675 | + | 0.0642905i | ||||
\(263\) | − | 2.11568i | − | 0.130458i | −0.997870 | − | 0.0652291i | \(-0.979222\pi\) | ||
0.997870 | − | 0.0652291i | \(-0.0207778\pi\) | |||||||
\(264\) | 1.96204 | 0.120755 | ||||||||
\(265\) | 9.48175 | + | 17.8073i | 0.582459 | + | 1.09389i | ||||
\(266\) | 1.34865 | + | 0.244336i | 0.0826910 | + | 0.0149812i | ||||
\(267\) | 8.80190 | − | 2.00898i | 0.538668 | − | 0.122947i | ||||
\(268\) | 12.4291 | − | 2.83686i | 0.759229 | − | 0.173289i | ||||
\(269\) | 8.10464 | + | 10.1629i | 0.494149 | + | 0.619643i | 0.964898 | − | 0.262624i | \(-0.0845879\pi\) |
−0.470750 | + | 0.882267i | \(0.656016\pi\) | |||||||
\(270\) | −2.31315 | + | 12.4350i | −0.140774 | + | 0.756771i | ||||
\(271\) | 3.87424 | + | 16.9741i | 0.235343 | + | 1.03111i | 0.945131 | + | 0.326690i | \(0.105933\pi\) |
−0.709788 | + | 0.704415i | \(0.751209\pi\) | |||||||
\(272\) | 5.50433 | − | 1.25633i | 0.333749 | − | 0.0761760i | ||||
\(273\) | −13.1469 | + | 18.1063i | −0.795686 | + | 1.09584i | ||||
\(274\) | 2.77047 | − | 12.1382i | 0.167370 | − | 0.733297i | ||||
\(275\) | −0.997945 | + | 6.90971i | −0.0601783 | + | 0.416671i | ||||
\(276\) | 5.42341 | 0.326451 | ||||||||
\(277\) | −15.1968 | − | 3.46857i | −0.913087 | − | 0.208406i | −0.259929 | − | 0.965628i | \(-0.583699\pi\) |
−0.653158 | + | 0.757222i | \(0.726556\pi\) | |||||||
\(278\) | 0.123063 | + | 0.255544i | 0.00738085 | + | 0.0153265i | ||||
\(279\) | 5.78853 | + | 7.25859i | 0.346550 | + | 0.434560i | ||||
\(280\) | 5.63398 | − | 1.80506i | 0.336695 | − | 0.107873i | ||||
\(281\) | −8.89301 | + | 11.1515i | −0.530513 | + | 0.665242i | −0.972804 | − | 0.231630i | \(-0.925594\pi\) |
0.442291 | + | 0.896871i | \(0.354166\pi\) | |||||||
\(282\) | 4.14621 | + | 0.946346i | 0.246903 | + | 0.0563541i | ||||
\(283\) | −3.85242 | − | 3.07221i | −0.229003 | − | 0.182624i | 0.502266 | − | 0.864713i | \(-0.332500\pi\) |
−0.731269 | + | 0.682090i | \(0.761071\pi\) | |||||||
\(284\) | 0.533144 | − | 0.256748i | 0.0316363 | − | 0.0152352i | ||||
\(285\) | −1.60028 | − | 0.297683i | −0.0947924 | − | 0.0176332i | ||||
\(286\) | 7.57144 | + | 3.64621i | 0.447709 | + | 0.215605i | ||||
\(287\) | −3.18028 | + | 0.143760i | −0.187726 | + | 0.00848587i | ||||
\(288\) | −0.444923 | − | 0.923893i | −0.0262174 | − | 0.0544409i | ||||
\(289\) | 13.4028 | + | 6.45444i | 0.788399 | + | 0.379673i | ||||
\(290\) | 6.60602 | + | 4.84408i | 0.387919 | + | 0.284454i | ||||
\(291\) | 12.1205 | + | 5.83692i | 0.710516 | + | 0.342166i | ||||
\(292\) | −10.5778 | − | 8.43551i | −0.619019 | − | 0.493651i | ||||
\(293\) | 14.3612i | 0.838990i | 0.907758 | + | 0.419495i | \(0.137793\pi\) | ||||
−0.907758 | + | 0.419495i | \(0.862207\pi\) | |||||||
\(294\) | 1.31465 | − | 9.74807i | 0.0766721 | − | 0.568519i | ||||
\(295\) | −6.25804 | − | 7.22679i | −0.364357 | − | 0.420760i | ||||
\(296\) | 6.16524 | − | 7.73097i | 0.358347 | − | 0.449353i | ||||
\(297\) | 3.42685 | − | 7.11592i | 0.198846 | − | 0.412908i | ||||
\(298\) | 10.7964 | − | 2.46420i | 0.625417 | − | 0.142747i | ||||
\(299\) | 20.9288 | + | 10.0788i | 1.21034 | + | 0.582869i | ||||
\(300\) | −6.70091 | + | 2.11229i | −0.386877 | + | 0.121953i | ||||
\(301\) | 16.2210 | + | 11.7780i | 0.934964 | + | 0.678873i | ||||
\(302\) | 3.58574 | − | 7.44587i | 0.206336 | − | 0.428462i | ||||
\(303\) | −20.4710 | + | 16.3251i | −1.17603 | + | 0.937852i | ||||
\(304\) | 0.466738 | − | 0.224769i | 0.0267692 | − | 0.0128914i | ||||
\(305\) | 3.88855 | − | 0.157504i | 0.222658 | − | 0.00901866i | ||||
\(306\) | 1.28829 | − | 5.64438i | 0.0736467 | − | 0.322667i | ||||
\(307\) | −17.4995 | − | 13.9554i | −0.998751 | − | 0.796478i | −0.0196409 | − | 0.999807i | \(-0.506252\pi\) |
−0.979110 | + | 0.203330i | \(0.934824\pi\) | |||||||
\(308\) | −3.69044 | + | 0.166821i | −0.210283 | + | 0.00950551i | ||||
\(309\) | −11.3812 | − | 14.2715i | −0.647452 | − | 0.811879i | ||||
\(310\) | −8.03847 | + | 18.5804i | −0.456555 | + | 1.05530i | ||||
\(311\) | 3.36027 | − | 14.7223i | 0.190543 | − | 0.834825i | −0.785779 | − | 0.618507i | \(-0.787738\pi\) |
0.976323 | − | 0.216318i | \(-0.0694049\pi\) | |||||||
\(312\) | 8.45728i | 0.478799i | ||||||||
\(313\) | − | 8.60369i | − | 0.486309i | −0.969988 | − | 0.243155i | \(-0.921818\pi\) | ||
0.969988 | − | 0.243155i | \(-0.0781822\pi\) | |||||||
\(314\) | −5.10156 | + | 22.3514i | −0.287898 | + | 1.26136i | ||||
\(315\) | 0.839009 | − | 6.00831i | 0.0472728 | − | 0.338530i | ||||
\(316\) | −2.90732 | − | 12.7378i | −0.163549 | − | 0.716556i | ||||
\(317\) | 24.1038 | − | 5.50154i | 1.35381 | − | 0.308997i | 0.516760 | − | 0.856130i | \(-0.327138\pi\) |
0.837046 | + | 0.547133i | \(0.184281\pi\) | |||||||
\(318\) | 9.91200 | − | 7.90455i | 0.555837 | − | 0.443265i | ||||
\(319\) | −3.18929 | − | 3.99924i | −0.178566 | − | 0.223914i | ||||
\(320\) | 1.32227 | − | 1.80322i | 0.0739171 | − | 0.100803i | ||||
\(321\) | −3.80836 | − | 16.6855i | −0.212562 | − | 0.931294i | ||||
\(322\) | −10.2010 | + | 0.461122i | −0.568481 | + | 0.0256973i | ||||
\(323\) | 2.85146 | + | 0.650827i | 0.158659 | + | 0.0362130i | ||||
\(324\) | 4.87213 | 0.270674 | ||||||||
\(325\) | −29.7840 | − | 4.30159i | −1.65212 | − | 0.238609i | ||||
\(326\) | −2.34808 | + | 10.2876i | −0.130048 | + | 0.569779i | ||||
\(327\) | −0.860560 | − | 1.78697i | −0.0475891 | − | 0.0988197i | ||||
\(328\) | −0.940747 | + | 0.750221i | −0.0519441 | + | 0.0414240i | ||||
\(329\) | −7.87917 | − | 1.42748i | −0.434393 | − | 0.0786993i | ||||
\(330\) | 4.38366 | − | 0.177558i | 0.241312 | − | 0.00977427i | ||||
\(331\) | 2.26241 | − | 9.91227i | 0.124353 | − | 0.544828i | −0.873919 | − | 0.486072i | \(-0.838429\pi\) |
0.998272 | − | 0.0587561i | \(-0.0187134\pi\) | |||||||
\(332\) | 0.153853 | + | 0.122694i | 0.00844380 | + | 0.00673370i | ||||
\(333\) | −4.39953 | − | 9.13571i | −0.241093 | − | 0.500634i | ||||
\(334\) | 8.86017 | + | 11.1103i | 0.484807 | + | 0.607929i | ||||
\(335\) | 27.5129 | − | 7.46302i | 1.50319 | − | 0.407748i | ||||
\(336\) | −1.76270 | − | 3.27335i | −0.0961631 | − | 0.178576i | ||||
\(337\) | 0.670423 | + | 1.39215i | 0.0365203 | + | 0.0758351i | 0.918431 | − | 0.395582i | \(-0.129457\pi\) |
−0.881911 | + | 0.471417i | \(0.843743\pi\) | |||||||
\(338\) | −10.0763 | + | 20.9237i | −0.548080 | + | 1.13810i | ||||
\(339\) | −4.13512 | − | 18.1172i | −0.224589 | − | 0.983989i | ||||
\(340\) | 12.1843 | − | 3.30505i | 0.660785 | − | 0.179242i | ||||
\(341\) | 7.88187 | − | 9.88356i | 0.426827 | − | 0.535225i | ||||
\(342\) | − | 0.531220i | − | 0.0287251i | ||||||
\(343\) | −1.64394 | + | 18.4472i | −0.0887643 | + | 0.996053i | ||||
\(344\) | 7.57668 | 0.408507 | ||||||||
\(345\) | 12.1172 | − | 0.490802i | 0.652367 | − | 0.0264239i | ||||
\(346\) | 15.9865 | + | 7.69868i | 0.859438 | + | 0.413884i | ||||
\(347\) | 7.82332 | − | 1.78562i | 0.419978 | − | 0.0958572i | −0.00730900 | − | 0.999973i | \(-0.502327\pi\) |
0.427287 | + | 0.904116i | \(0.359469\pi\) | |||||||
\(348\) | 2.23357 | − | 4.63805i | 0.119732 | − | 0.248626i | ||||
\(349\) | 8.45971 | − | 4.07398i | 0.452838 | − | 0.218075i | −0.193540 | − | 0.981092i | \(-0.561997\pi\) |
0.646378 | + | 0.763017i | \(0.276283\pi\) | |||||||
\(350\) | 12.4243 | − | 4.54279i | 0.664106 | − | 0.242822i | ||||
\(351\) | 30.6728 | + | 14.7713i | 1.63720 | + | 0.788432i | ||||
\(352\) | −1.09166 | + | 0.870567i | −0.0581855 | + | 0.0464014i | ||||
\(353\) | −11.7604 | − | 24.4207i | −0.625943 | − | 1.29978i | −0.936979 | − | 0.349386i | \(-0.886390\pi\) |
0.311036 | − | 0.950398i | \(-0.399324\pi\) | |||||||
\(354\) | −3.74565 | + | 4.69690i | −0.199079 | + | 0.249637i | ||||
\(355\) | 1.16793 | − | 0.621885i | 0.0619875 | − | 0.0330062i | ||||
\(356\) | −4.00589 | + | 5.02322i | −0.212312 | + | 0.266230i | ||||
\(357\) | 3.74189 | − | 20.6539i | 0.198042 | − | 1.09312i | ||||
\(358\) | −5.72410 | + | 4.56482i | −0.302528 | + | 0.241258i | ||||
\(359\) | −10.4373 | + | 5.02635i | −0.550860 | + | 0.265280i | −0.688542 | − | 0.725196i | \(-0.741749\pi\) |
0.137682 | + | 0.990476i | \(0.456035\pi\) | |||||||
\(360\) | −1.07767 | − | 2.02393i | −0.0567984 | − | 0.106670i | ||||
\(361\) | −18.7316 | −0.985876 | ||||||||
\(362\) | 1.36648i | 0.0718205i | ||||||||
\(363\) | 12.3987 | + | 2.82991i | 0.650761 | + | 0.148532i | ||||
\(364\) | −0.719074 | − | 15.9075i | −0.0376897 | − | 0.833779i | ||||
\(365\) | −24.3967 | − | 17.8897i | −1.27698 | − | 0.936388i | ||||
\(366\) | −0.544207 | − | 2.38433i | −0.0284461 | − | 0.124631i | ||||
\(367\) | 18.6335 | − | 14.8597i | 0.972662 | − | 0.775672i | −0.00185227 | − | 0.999998i | \(-0.500590\pi\) |
0.974514 | + | 0.224326i | \(0.0720182\pi\) | |||||||
\(368\) | −3.01753 | + | 2.40640i | −0.157299 | + | 0.125442i | ||||
\(369\) | 0.274563 | + | 1.20294i | 0.0142932 | + | 0.0626225i | ||||
\(370\) | 13.0750 | − | 17.8307i | 0.679736 | − | 0.926976i | ||||
\(371\) | −17.9716 | + | 15.7106i | −0.933040 | + | 0.815654i | ||||
\(372\) | 12.4032 | + | 2.83095i | 0.643077 | + | 0.146778i | ||||
\(373\) | − | 6.51766i | − | 0.337472i | −0.985661 | − | 0.168736i | \(-0.946031\pi\) | ||
0.985661 | − | 0.168736i | \(-0.0539685\pi\) | |||||||
\(374\) | −7.88324 | −0.407632 | ||||||||
\(375\) | −14.7803 | + | 5.32576i | −0.763249 | + | 0.275021i | ||||
\(376\) | −2.72681 | + | 1.31316i | −0.140624 | + | 0.0677211i | ||||
\(377\) | 17.2385 | − | 13.7473i | 0.887829 | − | 0.708020i | ||||
\(378\) | −14.9505 | + | 0.675813i | −0.768968 | + | 0.0347600i | ||||
\(379\) | −19.6792 | + | 24.6770i | −1.01085 | + | 1.26757i | −0.0476310 | + | 0.998865i | \(0.515167\pi\) |
−0.963222 | + | 0.268705i | \(0.913404\pi\) | |||||||
\(380\) | 1.02246 | − | 0.544425i | 0.0524512 | − | 0.0279284i | ||||
\(381\) | −2.55311 | + | 3.20150i | −0.130800 | + | 0.164018i | ||||
\(382\) | −4.93690 | − | 10.2516i | −0.252594 | − | 0.524516i | ||||
\(383\) | 6.27050 | − | 5.00056i | 0.320408 | − | 0.255517i | −0.450056 | − | 0.893000i | \(-0.648596\pi\) |
0.770464 | + | 0.637484i | \(0.220025\pi\) | |||||||
\(384\) | −1.26603 | − | 0.609689i | −0.0646069 | − | 0.0311130i | ||||
\(385\) | −8.23023 | + | 0.706691i | −0.419451 | + | 0.0360163i | ||||
\(386\) | −1.37292 | + | 0.661163i | −0.0698798 | + | 0.0336523i | ||||
\(387\) | 3.37104 | − | 7.00004i | 0.171360 | − | 0.355832i | ||||
\(388\) | −9.33358 | + | 2.13033i | −0.473840 | + | 0.108151i | ||||
\(389\) | 23.0955 | + | 11.1222i | 1.17099 | + | 0.563918i | 0.915273 | − | 0.402835i | \(-0.131975\pi\) |
0.255714 | + | 0.966752i | \(0.417689\pi\) | |||||||
\(390\) | 0.765357 | + | 18.8955i | 0.0387553 | + | 0.956813i | ||||
\(391\) | −21.7906 | −1.10200 | ||||||||
\(392\) | 3.59381 | + | 6.00704i | 0.181515 | + | 0.303401i | ||||
\(393\) | − | 6.57145i | − | 0.331486i | ||||||
\(394\) | 1.35404 | − | 1.69791i | 0.0682153 | − | 0.0855393i | ||||
\(395\) | −7.64836 | − | 28.1961i | −0.384831 | − | 1.41870i | ||||
\(396\) | 0.318607 | + | 1.39591i | 0.0160106 | + | 0.0701471i | ||||
\(397\) | −8.03554 | + | 16.6860i | −0.403292 | + | 0.837445i | 0.596111 | + | 0.802902i | \(0.296712\pi\) |
−0.999403 | + | 0.0345430i | \(0.989002\pi\) | |||||||
\(398\) | −4.04282 | − | 8.39501i | −0.202648 | − | 0.420804i | ||||
\(399\) | −0.0869712 | − | 1.92399i | −0.00435401 | − | 0.0963202i | ||||
\(400\) | 2.79108 | − | 4.14848i | 0.139554 | − | 0.207424i | ||||
\(401\) | 20.0852 | + | 25.1861i | 1.00301 | + | 1.25773i | 0.966034 | + | 0.258416i | \(0.0832006\pi\) |
0.0369745 | + | 0.999316i | \(0.488228\pi\) | |||||||
\(402\) | −7.77277 | − | 16.1403i | −0.387671 | − | 0.805006i | ||||
\(403\) | 42.6026 | + | 33.9744i | 2.12219 | + | 1.69239i | ||||
\(404\) | 4.14632 | − | 18.1662i | 0.206287 | − | 0.903802i | ||||
\(405\) | 10.8855 | − | 0.440913i | 0.540905 | − | 0.0219091i | ||||
\(406\) | −3.80682 | + | 8.91373i | −0.188929 | + | 0.442381i | ||||
\(407\) | −10.7946 | + | 8.60841i | −0.535069 | + | 0.426703i | ||||
\(408\) | −3.44223 | − | 7.14786i | −0.170416 | − | 0.353872i | ||||
\(409\) | −2.43654 | + | 10.6752i | −0.120479 | + | 0.527853i | 0.878284 | + | 0.478138i | \(0.158688\pi\) |
−0.998763 | + | 0.0497145i | \(0.984169\pi\) | |||||||
\(410\) | −2.03396 | + | 1.76130i | −0.100450 | + | 0.0869846i | ||||
\(411\) | −17.4952 | −0.862972 | ||||||||
\(412\) | 12.6647 | + | 2.89064i | 0.623945 | + | 0.142411i | ||||
\(413\) | 6.64593 | − | 9.15298i | 0.327025 | − | 0.450388i | ||||
\(414\) | 0.880685 | + | 3.85853i | 0.0432833 | + | 0.189636i | ||||
\(415\) | 0.354848 | + | 0.260204i | 0.0174188 | + | 0.0127729i | ||||
\(416\) | −3.75254 | − | 4.70553i | −0.183983 | − | 0.230708i | ||||
\(417\) | 0.311604 | − | 0.248496i | 0.0152593 | − | 0.0121689i | ||||
\(418\) | −0.705194 | + | 0.160956i | −0.0344922 | + | 0.00787261i | ||||
\(419\) | −6.41462 | − | 28.1043i | −0.313375 | − | 1.37299i | −0.848939 | − | 0.528491i | \(-0.822758\pi\) |
0.535564 | − | 0.844495i | \(-0.320099\pi\) | |||||||
\(420\) | −4.23451 | − | 7.15391i | −0.206623 | − | 0.349075i | ||||
\(421\) | −5.16875 | + | 22.6458i | −0.251910 | + | 1.10369i | 0.677757 | + | 0.735286i | \(0.262952\pi\) |
−0.929667 | + | 0.368402i | \(0.879905\pi\) | |||||||
\(422\) | 17.6259i | 0.858014i | ||||||||
\(423\) | 3.10353i | 0.150899i | ||||||||
\(424\) | −2.00763 | + | 8.79601i | −0.0974992 | + | 0.427172i | ||||
\(425\) | 26.9234 | − | 8.48691i | 1.30598 | − | 0.411676i | ||||
\(426\) | −0.518440 | − | 0.650103i | −0.0251185 | − | 0.0314976i | ||||
\(427\) | 1.22634 | + | 4.43846i | 0.0593466 | + | 0.214792i | ||||
\(428\) | 9.52237 | + | 7.59384i | 0.460281 | + | 0.367062i | ||||
\(429\) | 2.62769 | − | 11.5127i | 0.126866 | − | 0.555837i | ||||
\(430\) | 16.9281 | − | 0.685666i | 0.816345 | − | 0.0330657i | ||||
\(431\) | 19.3689 | − | 9.32757i | 0.932967 | − | 0.449293i | 0.0952843 | − | 0.995450i | \(-0.469624\pi\) |
0.837683 | + | 0.546157i | \(0.183910\pi\) | |||||||
\(432\) | −4.42244 | + | 3.52678i | −0.212775 | + | 0.169682i | ||||
\(433\) | −14.3830 | + | 29.8666i | −0.691204 | + | 1.43530i | 0.199122 | + | 0.979975i | \(0.436191\pi\) |
−0.890325 | + | 0.455325i | \(0.849523\pi\) | |||||||
\(434\) | −23.5702 | − | 4.27023i | −1.13141 | − | 0.204978i | ||||
\(435\) | 4.57059 | − | 10.5646i | 0.219143 | − | 0.506535i | ||||
\(436\) | 1.27169 | + | 0.612416i | 0.0609031 | + | 0.0293294i | ||||
\(437\) | −1.94928 | + | 0.444910i | −0.0932465 | + | 0.0212829i | ||||
\(438\) | −8.24879 | + | 17.1288i | −0.394142 | + | 0.818445i | ||||
\(439\) | 11.6957 | − | 14.6659i | 0.558204 | − | 0.699965i | −0.420021 | − | 0.907514i | \(-0.637977\pi\) |
0.978225 | + | 0.207549i | \(0.0665487\pi\) | |||||||
\(440\) | −2.36024 | + | 2.04384i | −0.112520 | + | 0.0974364i | ||||
\(441\) | 7.14883 | − | 0.647627i | 0.340420 | − | 0.0308394i | ||||
\(442\) | − | 33.9803i | − | 1.61628i | ||||||
\(443\) | −23.0813 | − | 18.4067i | −1.09663 | − | 0.874530i | −0.103860 | − | 0.994592i | \(-0.533119\pi\) |
−0.992766 | + | 0.120062i | \(0.961691\pi\) | |||||||
\(444\) | −12.5189 | − | 6.02877i | −0.594120 | − | 0.286113i | ||||
\(445\) | −8.49551 | + | 11.5856i | −0.402726 | + | 0.549209i | ||||
\(446\) | −11.1129 | − | 5.35169i | −0.526211 | − | 0.253410i | ||||
\(447\) | −6.75171 | − | 14.0201i | −0.319345 | − | 0.663126i | ||||
\(448\) | 2.43315 | + | 1.03913i | 0.114955 | + | 0.0490945i | ||||
\(449\) | −16.3828 | − | 7.88955i | −0.773153 | − | 0.372331i | 0.00533879 | − | 0.999986i | \(-0.498301\pi\) |
−0.778492 | + | 0.627655i | \(0.784015\pi\) | |||||||
\(450\) | −2.59093 | − | 4.42441i | −0.122138 | − | 0.208569i | ||||
\(451\) | 1.51371 | − | 0.728964i | 0.0712778 | − | 0.0343256i | ||||
\(452\) | 10.3394 | + | 8.24541i | 0.486325 | + | 0.387831i | ||||
\(453\) | −11.3217 | − | 2.58411i | −0.531941 | − | 0.121412i | ||||
\(454\) | −13.8939 | + | 17.4224i | −0.652073 | + | 0.817674i | ||||
\(455\) | −3.04616 | − | 35.4760i | −0.142806 | − | 1.66314i | ||||
\(456\) | −0.453866 | − | 0.569129i | −0.0212542 | − | 0.0266519i | ||||
\(457\) | −5.07906 | − | 10.5468i | −0.237588 | − | 0.493357i | 0.747748 | − | 0.663983i | \(-0.231135\pi\) |
−0.985336 | + | 0.170626i | \(0.945421\pi\) | |||||||
\(458\) | −23.4527 | − | 5.35292i | −1.09587 | − | 0.250126i | ||||
\(459\) | −31.9360 | −1.49064 | ||||||||
\(460\) | −6.52409 | + | 5.64953i | −0.304187 | + | 0.263411i | ||||
\(461\) | −3.94504 | + | 17.2844i | −0.183739 | + | 0.805013i | 0.796091 | + | 0.605178i | \(0.206898\pi\) |
−0.979829 | + | 0.199835i | \(0.935959\pi\) | |||||||
\(462\) | 1.38248 | + | 5.00359i | 0.0643188 | + | 0.232788i | ||||
\(463\) | −19.1717 | + | 4.37580i | −0.890982 | + | 0.203361i | −0.643422 | − | 0.765512i | \(-0.722486\pi\) |
−0.247560 | + | 0.968873i | \(0.579629\pi\) | |||||||
\(464\) | 0.815196 | + | 3.57161i | 0.0378445 | + | 0.165808i | ||||
\(465\) | 27.9679 | + | 5.20257i | 1.29698 | + | 0.241263i | ||||
\(466\) | −5.03350 | − | 6.31181i | −0.233172 | − | 0.292389i | ||||
\(467\) | 31.3720 | − | 7.16046i | 1.45172 | − | 0.331346i | 0.577309 | − | 0.816526i | \(-0.304103\pi\) |
0.874415 | + | 0.485180i | \(0.161246\pi\) | |||||||
\(468\) | −6.01700 | + | 1.37334i | −0.278136 | + | 0.0634827i | ||||
\(469\) | 15.9923 | + | 29.6978i | 0.738456 | + | 1.37132i | ||||
\(470\) | −5.97349 | + | 3.18068i | −0.275537 | + | 0.146714i | ||||
\(471\) | 32.2157 | 1.48442 | ||||||||
\(472\) | − | 4.27527i | − | 0.196785i | ||||||
\(473\) | −10.3139 | − | 2.35409i | −0.474235 | − | 0.108241i | ||||
\(474\) | −16.5412 | + | 7.96580i | −0.759761 | + | 0.365881i | ||||
\(475\) | 2.23515 | − | 1.30890i | 0.102556 | − | 0.0600566i | ||||
\(476\) | 7.08231 | + | 13.1519i | 0.324617 | + | 0.602817i | ||||
\(477\) | 7.23333 | + | 5.76839i | 0.331191 | + | 0.264116i | ||||
\(478\) | −0.494831 | − | 0.112942i | −0.0226331 | − | 0.00516585i | ||||
\(479\) | −0.763141 | + | 0.956949i | −0.0348688 | + | 0.0437241i | −0.798960 | − | 0.601384i | \(-0.794616\pi\) |
0.764091 | + | 0.645108i | \(0.223188\pi\) | |||||||
\(480\) | −2.88379 | − | 1.24762i | −0.131626 | − | 0.0569456i | ||||
\(481\) | −37.1061 | − | 46.5296i | −1.69189 | − | 2.12157i | ||||
\(482\) | 6.54622 | − | 13.5934i | 0.298172 | − | 0.619161i | ||||
\(483\) | 3.82141 | + | 13.8308i | 0.173880 | + | 0.629322i | ||||
\(484\) | −8.15413 | + | 3.92682i | −0.370642 | + | 0.178492i | ||||
\(485\) | −20.6606 | + | 5.60431i | −0.938151 | + | 0.254479i | ||||
\(486\) | 2.25264 | + | 9.86945i | 0.102182 | + | 0.447687i | ||||
\(487\) | 0.233486 | − | 0.484838i | 0.0105802 | − | 0.0219701i | −0.895612 | − | 0.444837i | \(-0.853262\pi\) |
0.906192 | + | 0.422866i | \(0.138976\pi\) | |||||||
\(488\) | 1.36073 | + | 1.08514i | 0.0615973 | + | 0.0491222i | ||||
\(489\) | 14.8278 | 0.670538 | ||||||||
\(490\) | 8.57305 | + | 13.0959i | 0.387291 | + | 0.591613i | ||||
\(491\) | −25.1121 | −1.13329 | −0.566646 | − | 0.823962i | \(-0.691759\pi\) | ||||
−0.566646 | + | 0.823962i | \(0.691759\pi\) | |||||||
\(492\) | 1.32193 | + | 1.05420i | 0.0595971 | + | 0.0475271i | ||||
\(493\) | −8.97421 | + | 18.6351i | −0.404178 | + | 0.839284i | ||||
\(494\) | −0.693793 | − | 3.03970i | −0.0312152 | − | 0.136763i | ||||
\(495\) | 0.838169 | + | 3.08996i | 0.0376729 | + | 0.138883i | ||||
\(496\) | −8.15712 | + | 3.92826i | −0.366266 | + | 0.176384i | ||||
\(497\) | 1.03042 | + | 1.17871i | 0.0462207 | + | 0.0528726i | ||||
\(498\) | 0.119978 | − | 0.249137i | 0.00537634 | − | 0.0111641i | ||||
\(499\) | −26.3952 | − | 33.0985i | −1.18161 | − | 1.48169i | −0.840618 | − | 0.541628i | \(-0.817808\pi\) |
−0.340993 | − | 0.940066i | \(-0.610763\pi\) | |||||||
\(500\) | 5.86050 | − | 9.52127i | 0.262090 | − | 0.425804i | ||||
\(501\) | 12.4502 | − | 15.6121i | 0.556235 | − | 0.697496i | ||||
\(502\) | −14.7420 | − | 3.36477i | −0.657968 | − | 0.150177i | ||||
\(503\) | −34.4140 | − | 27.4442i | −1.53444 | − | 1.22368i | −0.887192 | − | 0.461401i | \(-0.847347\pi\) |
−0.647252 | − | 0.762277i | \(-0.724082\pi\) | |||||||
\(504\) | 2.04261 | − | 1.78563i | 0.0909852 | − | 0.0795383i | ||||
\(505\) | 7.61986 | − | 40.9628i | 0.339079 | − | 1.82282i | ||||
\(506\) | 4.85535 | − | 2.33821i | 0.215847 | − | 0.103946i | ||||
\(507\) | 31.8153 | + | 7.26164i | 1.41297 | + | 0.322501i | ||||
\(508\) | − | 2.91411i | − | 0.129293i | ||||||
\(509\) | 0.637639 | 0.0282628 | 0.0141314 | − | 0.999900i | \(-0.495502\pi\) | ||||
0.0141314 | + | 0.999900i | \(0.495502\pi\) | |||||||
\(510\) | −8.33761 | − | 15.6585i | −0.369196 | − | 0.693370i | ||||
\(511\) | 14.0590 | − | 32.9193i | 0.621932 | − | 1.45626i | ||||
\(512\) | 0.974928 | − | 0.222521i | 0.0430861 | − | 0.00983413i | ||||
\(513\) | −2.85683 | + | 0.652052i | −0.126132 | + | 0.0287888i | ||||
\(514\) | 7.13621 | + | 8.94853i | 0.314765 | + | 0.394703i | ||||
\(515\) | 28.5575 | + | 5.31225i | 1.25840 | + | 0.234086i | ||||
\(516\) | −2.36911 | − | 10.3797i | −0.104294 | − | 0.456942i | ||||
\(517\) | 4.11993 | − | 0.940347i | 0.181194 | − | 0.0413564i | ||||
\(518\) | 24.0596 | + | 10.2752i | 1.05712 | + | 0.451468i | ||||
\(519\) | 5.54816 | − | 24.3081i | 0.243537 | − | 1.06701i | ||||
\(520\) | −8.80989 | − | 10.1737i | −0.386339 | − | 0.446145i | ||||
\(521\) | 23.1503 | 1.01423 | 0.507116 | − | 0.861878i | \(-0.330711\pi\) | ||||
0.507116 | + | 0.861878i | \(0.330711\pi\) | |||||||
\(522\) | 3.66248 | + | 0.835937i | 0.160302 | + | 0.0365880i | ||||
\(523\) | −16.9735 | − | 35.2458i | −0.742198 | − | 1.54119i | −0.837927 | − | 0.545783i | \(-0.816232\pi\) |
0.0957285 | − | 0.995407i | \(-0.469482\pi\) | |||||||
\(524\) | 2.91579 | + | 3.65628i | 0.127377 | + | 0.159725i | ||||
\(525\) | −10.1083 | − | 15.6003i | −0.441163 | − | 0.680853i | ||||
\(526\) | 1.31910 | − | 1.65410i | 0.0575156 | − | 0.0721223i | ||||
\(527\) | −49.8346 | − | 11.3744i | −2.17083 | − | 0.495478i | ||||
\(528\) | 1.53398 | + | 1.22331i | 0.0667581 | + | 0.0532378i | ||||
\(529\) | −7.30127 | + | 3.51610i | −0.317446 | + | 0.152874i | ||||
\(530\) | −3.68951 | + | 19.8340i | −0.160262 | + | 0.861536i | ||||
\(531\) | −3.94989 | − | 1.90217i | −0.171411 | − | 0.0825470i | ||||
\(532\) | 0.902076 | + | 1.03190i | 0.0391099 | + | 0.0447385i | ||||
\(533\) | 3.14216 | + | 6.52477i | 0.136102 | + | 0.282619i | ||||
\(534\) | 8.13418 | + | 3.91722i | 0.352000 | + | 0.169515i | ||||
\(535\) | 21.9624 | + | 16.1047i | 0.949519 | + | 0.696266i | ||||
\(536\) | 11.4862 | + | 5.53148i | 0.496130 | + | 0.238923i | ||||
\(537\) | 8.04345 | + | 6.41444i | 0.347100 | + | 0.276803i | ||||
\(538\) | 12.9988i | 0.560420i | ||||||||
\(539\) | −3.02577 | − | 9.29383i | −0.130329 | − | 0.400313i | ||||
\(540\) | −9.56161 | + | 8.27987i | −0.411466 | + | 0.356309i | ||||
\(541\) | 8.79668 | − | 11.0307i | 0.378199 | − | 0.474246i | −0.555906 | − | 0.831245i | \(-0.687629\pi\) |
0.934105 | + | 0.356999i | \(0.116200\pi\) | |||||||
\(542\) | −7.55420 | + | 15.6865i | −0.324481 | + | 0.673791i | ||||
\(543\) | 1.87202 | − | 0.427276i | 0.0803359 | − | 0.0183362i | ||||
\(544\) | 5.08676 | + | 2.44966i | 0.218093 | + | 0.105028i | ||||
\(545\) | 2.89669 | + | 1.25320i | 0.124080 | + | 0.0536811i | ||||
\(546\) | −21.5677 | + | 5.95912i | −0.923014 | + | 0.255027i | ||||
\(547\) | −14.2976 | + | 29.6893i | −0.611321 | + | 1.26942i | 0.333782 | + | 0.942650i | \(0.391675\pi\) |
−0.945103 | + | 0.326772i | \(0.894039\pi\) | |||||||
\(548\) | 9.73411 | − | 7.76269i | 0.415820 | − | 0.331606i | ||||
\(549\) | 1.60798 | − | 0.774361i | 0.0686268 | − | 0.0330489i | ||||
\(550\) | −5.08836 | + | 4.78002i | −0.216968 | + | 0.203821i | ||||
\(551\) | −0.422304 | + | 1.85023i | −0.0179907 | + | 0.0788226i | ||||
\(552\) | 4.24019 | + | 3.38144i | 0.180475 | + | 0.143924i | ||||
\(553\) | 30.4354 | − | 16.3895i | 1.29424 | − | 0.696951i | ||||
\(554\) | −9.71871 | − | 12.1869i | −0.412909 | − | 0.517771i | ||||
\(555\) | −28.5157 | − | 12.3368i | −1.21042 | − | 0.523667i | ||||
\(556\) | −0.0631141 | + | 0.276521i | −0.00267663 | + | 0.0117271i | ||||
\(557\) | − | 25.1384i | − | 1.06515i | −0.846383 | − | 0.532575i | \(-0.821224\pi\) | ||
0.846383 | − | 0.532575i | \(-0.178776\pi\) | |||||||
\(558\) | 9.28408i | 0.393026i | ||||||||
\(559\) | 10.1472 | − | 44.4577i | 0.429180 | − | 1.88036i | ||||
\(560\) | 5.53026 | + | 2.10148i | 0.233696 | + | 0.0888037i | ||||
\(561\) | 2.46496 | + | 10.7997i | 0.104071 | + | 0.455964i | ||||
\(562\) | −13.9057 | + | 3.17388i | −0.586575 | + | 0.133882i | ||||
\(563\) | −21.7809 | + | 17.3697i | −0.917954 | + | 0.732044i | −0.963722 | − | 0.266908i | \(-0.913998\pi\) |
0.0457678 | + | 0.998952i | \(0.485427\pi\) | |||||||
\(564\) | 2.65160 | + | 3.32501i | 0.111653 | + | 0.140008i | ||||
\(565\) | 23.8469 | + | 17.4865i | 1.00325 | + | 0.735663i | ||||
\(566\) | −1.09646 | − | 4.80389i | −0.0460875 | − | 0.201923i | ||||
\(567\) | 3.43298 | + | 12.4249i | 0.144171 | + | 0.521797i | ||||
\(568\) | 0.576909 | + | 0.131676i | 0.0242065 | + | 0.00552499i | ||||
\(569\) | −31.5570 | −1.32294 | −0.661468 | − | 0.749973i | \(-0.730066\pi\) | ||||
−0.661468 | + | 0.749973i | \(0.730066\pi\) | |||||||
\(570\) | −1.06555 | − | 1.23050i | −0.0446309 | − | 0.0515398i | ||||
\(571\) | 0.248688 | − | 1.08957i | 0.0104073 | − | 0.0455971i | −0.969458 | − | 0.245259i | \(-0.921127\pi\) |
0.979865 | + | 0.199662i | \(0.0639843\pi\) | |||||||
\(572\) | 3.64621 | + | 7.57144i | 0.152456 | + | 0.316578i | ||||
\(573\) | −12.5005 | + | 9.96884i | −0.522217 | + | 0.416454i | ||||
\(574\) | −2.57608 | − | 1.87048i | −0.107523 | − | 0.0780722i | ||||
\(575\) | −14.0651 | + | 13.2128i | −0.586555 | + | 0.551012i | ||||
\(576\) | 0.228183 | − | 0.999734i | 0.00950761 | − | 0.0416556i | ||||
\(577\) | −7.94885 | − | 6.33900i | −0.330915 | − | 0.263896i | 0.443910 | − | 0.896071i | \(-0.353591\pi\) |
−0.774825 | + | 0.632175i | \(0.782162\pi\) | |||||||
\(578\) | 6.45444 | + | 13.4028i | 0.268469 | + | 0.557482i | ||||
\(579\) | 1.33506 | + | 1.67411i | 0.0554830 | + | 0.0695735i | ||||
\(580\) | 2.14456 | + | 7.90604i | 0.0890480 | + | 0.328280i | ||||
\(581\) | −0.204487 | + | 0.478808i | −0.00848354 | + | 0.0198643i | ||||
\(582\) | 5.83692 | + | 12.1205i | 0.241948 | + | 0.502410i | ||||
\(583\) | 5.46587 | − | 11.3500i | 0.226373 | − | 0.470069i | ||||
\(584\) | −3.01060 | − | 13.1903i | −0.124579 | − | 0.545818i | ||||
\(585\) | −13.3191 | + | 3.61289i | −0.550678 | + | 0.149374i | ||||
\(586\) | −8.95406 | + | 11.2280i | −0.369889 | + | 0.463826i | ||||
\(587\) | 8.27050i | 0.341360i | 0.985327 | + | 0.170680i | \(0.0545965\pi\) | ||||
−0.985327 | + | 0.170680i | \(0.945404\pi\) | |||||||
\(588\) | 7.10566 | − | 6.80168i | 0.293033 | − | 0.280497i | ||||
\(589\) | −4.69019 | −0.193256 | ||||||||
\(590\) | −0.386898 | − | 9.55196i | −0.0159283 | − | 0.393248i | ||||
\(591\) | −2.74945 | − | 1.32406i | −0.113097 | − | 0.0544647i | ||||
\(592\) | 9.64036 | − | 2.20035i | 0.396216 | − | 0.0904338i | ||||
\(593\) | −9.37937 | + | 19.4765i | −0.385165 | + | 0.799803i | 0.614774 | + | 0.788703i | \(0.289247\pi\) |
−0.999938 | + | 0.0110990i | \(0.996467\pi\) | |||||||
\(594\) | 7.11592 | − | 3.42685i | 0.291970 | − | 0.140605i | ||||
\(595\) | 17.0138 | + | 28.7435i | 0.697496 | + | 1.17837i | ||||
\(596\) | 9.97735 | + | 4.80484i | 0.408688 | + | 0.196814i | ||||
\(597\) | −10.2367 | + | 8.16348i | −0.418960 | + | 0.334109i | ||||
\(598\) | 10.0788 | + | 20.9288i | 0.412151 | + | 0.855840i | ||||
\(599\) | 0.654712 | − | 0.820983i | 0.0267508 | − | 0.0335444i | −0.768276 | − | 0.640119i | \(-0.778885\pi\) |
0.795027 | + | 0.606574i | \(0.207457\pi\) | |||||||
\(600\) | −6.55597 | − | 2.52650i | −0.267646 | − | 0.103144i | ||||
\(601\) | −7.25512 | + | 9.09764i | −0.295943 | + | 0.371100i | −0.907466 | − | 0.420126i | \(-0.861986\pi\) |
0.611523 | + | 0.791227i | \(0.290557\pi\) | |||||||
\(602\) | 5.33864 | + | 19.3220i | 0.217587 | + | 0.787508i | ||||
\(603\) | 10.2210 | − | 8.15096i | 0.416231 | − | 0.331933i | ||||
\(604\) | 7.44587 | − | 3.58574i | 0.302968 | − | 0.145902i | ||||
\(605\) | −17.8629 | + | 9.51137i | −0.726229 | + | 0.386692i | ||||
\(606\) | −26.1834 | −1.06363 | ||||||||
\(607\) | 25.4229i | 1.03188i | 0.856624 | + | 0.515942i | \(0.172558\pi\) | ||||
−0.856624 | + | 0.515942i | \(0.827442\pi\) | |||||||
\(608\) | 0.505051 | + | 0.115275i | 0.0204825 | + | 0.00467501i | ||||
\(609\) | 13.4018 | + | 2.42801i | 0.543067 | + | 0.0983878i | ||||
\(610\) | 3.13839 | + | 2.30133i | 0.127070 | + | 0.0931780i | ||||
\(611\) | 4.05332 | + | 17.7588i | 0.163980 | + | 0.718443i | ||||
\(612\) | 4.52644 | − | 3.60971i | 0.182970 | − | 0.145914i | ||||
\(613\) | −11.1656 | + | 8.90425i | −0.450973 | + | 0.359639i | −0.822483 | − | 0.568790i | \(-0.807412\pi\) |
0.371509 | + | 0.928429i | \(0.378840\pi\) | |||||||
\(614\) | −4.98063 | − | 21.8216i | −0.201002 | − | 0.880647i | ||||
\(615\) | 3.04890 | + | 2.23571i | 0.122943 | + | 0.0901523i | ||||
\(616\) | −2.98932 | − | 2.17053i | −0.120443 | − | 0.0874531i | ||||
\(617\) | −20.2002 | − | 4.61056i | −0.813228 | − | 0.185614i | −0.204371 | − | 0.978894i | \(-0.565515\pi\) |
−0.608858 | + | 0.793280i | \(0.708372\pi\) | |||||||
\(618\) | − | 18.2540i | − | 0.734283i | ||||||
\(619\) | 6.34756 | 0.255130 | 0.127565 | − | 0.991830i | \(-0.459284\pi\) | ||||
0.127565 | + | 0.991830i | \(0.459284\pi\) | |||||||
\(620\) | −17.8694 | + | 9.51486i | −0.717654 | + | 0.382126i | ||||
\(621\) | 19.6696 | − | 9.47239i | 0.789315 | − | 0.380114i | ||||
\(622\) | 11.8064 | − | 9.41527i | 0.473392 | − | 0.377518i | ||||
\(623\) | −15.6328 | − | 6.67638i | −0.626316 | − | 0.267483i | ||||
\(624\) | −5.27302 | + | 6.61216i | −0.211090 | + | 0.264698i | ||||
\(625\) | 12.2321 | − | 21.8031i | 0.489284 | − | 0.872125i | ||||
\(626\) | 5.36431 | − | 6.72663i | 0.214401 | − | 0.268850i | ||||
\(627\) | 0.441006 | + | 0.915758i | 0.0176121 | + | 0.0365718i | ||||
\(628\) | −17.9244 | + | 14.2943i | −0.715263 | + | 0.570403i | ||||
\(629\) | 50.2993 | + | 24.2229i | 2.00557 | + | 0.965830i | ||||
\(630\) | 4.40208 | − | 4.17437i | 0.175383 | − | 0.166311i | ||||
\(631\) | −1.61635 | + | 0.778393i | −0.0643459 | + | 0.0309873i | −0.465780 | − | 0.884901i | \(-0.654226\pi\) |
0.401434 | + | 0.915888i | \(0.368512\pi\) | |||||||
\(632\) | 5.66885 | − | 11.7715i | 0.225495 | − | 0.468244i | ||||
\(633\) | 24.1467 | − | 5.51133i | 0.959745 | − | 0.219056i | ||||
\(634\) | 22.2753 | + | 10.7272i | 0.884665 | + | 0.426032i | ||||
\(635\) | −0.263718 | − | 6.51080i | −0.0104653 | − | 0.258373i | ||||
\(636\) | 12.6779 | 0.502712 | ||||||||
\(637\) | 40.0606 | − | 13.0424i | 1.58726 | − | 0.516759i | ||||
\(638\) | − | 5.11522i | − | 0.202513i | ||||||
\(639\) | 0.378334 | − | 0.474416i | 0.0149667 | − | 0.0187676i | ||||
\(640\) | 2.15808 | − | 0.585392i | 0.0853057 | − | 0.0231397i | ||||
\(641\) | −3.86435 | − | 16.9308i | −0.152633 | − | 0.668727i | −0.992114 | − | 0.125339i | \(-0.959998\pi\) |
0.839481 | − | 0.543389i | \(-0.182859\pi\) | |||||||
\(642\) | 7.42575 | − | 15.4197i | 0.293071 | − | 0.608568i | ||||
\(643\) | 1.19681 | + | 2.48520i | 0.0471976 | + | 0.0980069i | 0.923234 | − | 0.384238i | \(-0.125536\pi\) |
−0.876036 | + | 0.482245i | \(0.839822\pi\) | |||||||
\(644\) | −8.26298 | − | 5.99971i | −0.325607 | − | 0.236422i | ||||
\(645\) | −6.23248 | − | 22.9764i | −0.245404 | − | 0.904694i | ||||
\(646\) | 1.82358 | + | 2.28669i | 0.0717477 | + | 0.0899687i | ||||
\(647\) | −15.0288 | − | 31.2075i | −0.590842 | − | 1.22690i | −0.955290 | − | 0.295672i | \(-0.904457\pi\) |
0.364448 | − | 0.931224i | \(-0.381258\pi\) | |||||||
\(648\) | 3.80919 | + | 3.03773i | 0.149639 | + | 0.119333i | ||||
\(649\) | −1.32833 | + | 5.81981i | −0.0521416 | + | 0.228447i | ||||
\(650\) | −20.6041 | − | 21.9331i | −0.808158 | − | 0.860288i | ||||
\(651\) | 1.51999 | + | 33.6254i | 0.0595730 | + | 1.31788i | ||||
\(652\) | −8.25004 | + | 6.57919i | −0.323097 | + | 0.257661i | ||||
\(653\) | 3.41398 | + | 7.08921i | 0.133599 | + | 0.277422i | 0.957027 | − | 0.290000i | \(-0.0936552\pi\) |
−0.823427 | + | 0.567422i | \(0.807941\pi\) | |||||||
\(654\) | 0.441345 | − | 1.93366i | 0.0172580 | − | 0.0756121i | ||||
\(655\) | 6.84544 | + | 7.90513i | 0.267474 | + | 0.308879i | ||||
\(656\) | −1.20326 | −0.0469794 | ||||||||
\(657\) | −13.5259 | − | 3.08720i | −0.527696 | − | 0.120443i | ||||
\(658\) | −5.27017 | − | 6.02863i | −0.205453 | − | 0.235020i | ||||
\(659\) | −1.06741 | − | 4.67664i | −0.0415805 | − | 0.182176i | 0.949873 | − | 0.312636i | \(-0.101212\pi\) |
−0.991454 | + | 0.130460i | \(0.958355\pi\) | |||||||
\(660\) | 3.53799 | + | 2.59435i | 0.137716 | + | 0.100985i | ||||
\(661\) | −1.55595 | − | 1.95110i | −0.0605196 | − | 0.0758891i | 0.750650 | − | 0.660700i | \(-0.229740\pi\) |
−0.811170 | + | 0.584811i | \(0.801169\pi\) | |||||||
\(662\) | 7.94902 | − | 6.33913i | 0.308948 | − | 0.246377i | ||||
\(663\) | −46.5516 | + | 10.6251i | −1.80791 | + | 0.412645i | ||||
\(664\) | 0.0437889 | + | 0.191852i | 0.00169934 | + | 0.00744530i | ||||
\(665\) | 2.10883 | + | 2.22387i | 0.0817771 | + | 0.0862380i | ||||
\(666\) | 2.25633 | − | 9.88565i | 0.0874312 | − | 0.383061i | ||||
\(667\) | − | 14.1393i | − | 0.547477i | ||||||
\(668\) | 14.2106i | 0.549825i | ||||||||
\(669\) | −3.85676 | + | 16.8976i | −0.149111 | + | 0.653298i | ||||
\(670\) | 26.1635 | + | 11.3192i | 1.01079 | + | 0.437297i | ||||
\(671\) | −1.51517 | − | 1.89996i | −0.0584924 | − | 0.0733471i | ||||
\(672\) | 0.662764 | − | 3.65823i | 0.0255667 | − | 0.141119i | ||||
\(673\) | −4.24404 | − | 3.38451i | −0.163596 | − | 0.130463i | 0.538270 | − | 0.842772i | \(-0.319078\pi\) |
−0.701866 | + | 0.712309i | \(0.747649\pi\) | |||||||
\(674\) | −0.343832 | + | 1.50643i | −0.0132439 | + | 0.0580254i | ||||
\(675\) | −20.6136 | + | 19.3645i | −0.793417 | + | 0.745339i | ||||
\(676\) | −20.9237 | + | 10.0763i | −0.804759 | + | 0.387551i | ||||
\(677\) | 19.7535 | − | 15.7529i | 0.759189 | − | 0.605433i | −0.165476 | − | 0.986214i | \(-0.552916\pi\) |
0.924665 | + | 0.380781i | \(0.124345\pi\) | |||||||
\(678\) | 8.06289 | − | 16.7428i | 0.309654 | − | 0.643002i | ||||
\(679\) | −12.0093 | − | 22.3014i | −0.460876 | − | 0.855850i | ||||
\(680\) | 11.5867 | + | 5.01277i | 0.444330 | + | 0.192231i | ||||
\(681\) | 28.2124 | + | 13.5864i | 1.08110 | + | 0.520630i | ||||
\(682\) | 12.3246 | − | 2.81301i | 0.471933 | − | 0.107716i | ||||
\(683\) | −4.75947 | + | 9.88314i | −0.182116 | + | 0.378168i | −0.971962 | − | 0.235137i | \(-0.924446\pi\) |
0.789846 | + | 0.613305i | \(0.210160\pi\) | |||||||
\(684\) | 0.331211 | − | 0.415325i | 0.0126642 | − | 0.0158803i | ||||
\(685\) | 21.0458 | − | 18.2246i | 0.804118 | − | 0.696326i | ||||
\(686\) | −12.7869 | + | 13.3976i | −0.488206 | + | 0.511522i | ||||
\(687\) | 33.8030i | 1.28966i | ||||||||
\(688\) | 5.92369 | + | 4.72398i | 0.225838 | + | 0.180100i | ||||
\(689\) | 48.9236 | + | 23.5604i | 1.86384 | + | 0.897579i | ||||
\(690\) | 9.77960 | + | 7.17122i | 0.372303 | + | 0.273004i | ||||
\(691\) | −7.76969 | − | 3.74169i | −0.295573 | − | 0.142340i | 0.280220 | − | 0.959936i | \(-0.409592\pi\) |
−0.575793 | + | 0.817595i | \(0.695307\pi\) | |||||||
\(692\) | 7.69868 | + | 15.9865i | 0.292660 | + | 0.607715i | ||||
\(693\) | −3.33535 | + | 1.79609i | −0.126700 | + | 0.0682278i | ||||
\(694\) | 7.22984 | + | 3.48171i | 0.274441 | + | 0.132164i | ||||
\(695\) | −0.115987 | + | 0.623524i | −0.00439965 | + | 0.0236516i | ||||
\(696\) | 4.63805 | − | 2.23357i | 0.175805 | − | 0.0846632i | ||||
\(697\) | −5.31134 | − | 4.23566i | −0.201181 | − | 0.160437i | ||||
\(698\) | 9.15416 | + | 2.08938i | 0.346490 | + | 0.0790841i | ||||
\(699\) | −7.07302 | + | 8.86928i | −0.267526 | + | 0.335467i | ||||
\(700\) | 12.5461 | + | 4.19473i | 0.474197 | + | 0.158546i | ||||
\(701\) | 13.7166 | + | 17.2000i | 0.518067 | + | 0.649636i | 0.970197 | − | 0.242316i | \(-0.0779071\pi\) |
−0.452130 | + | 0.891952i | \(0.649336\pi\) | |||||||
\(702\) | 14.7713 | + | 30.6728i | 0.557505 | + | 1.15767i | ||||
\(703\) | 4.99409 | + | 1.13987i | 0.188356 | + | 0.0429909i | ||||
\(704\) | −1.39628 | −0.0526243 | ||||||||
\(705\) | 6.22521 | + | 7.18889i | 0.234455 | + | 0.270749i | ||||
\(706\) | 6.03142 | − | 26.4254i | 0.226996 | − | 0.994533i | ||||
\(707\) | 49.2490 | − | 2.22623i | 1.85220 | − | 0.0837258i | ||||
\(708\) | −5.85694 | + | 1.33681i | −0.220117 | + | 0.0502403i | ||||
\(709\) | −4.45241 | − | 19.5073i | −0.167214 | − | 0.732611i | −0.987103 | − | 0.160089i | \(-0.948822\pi\) |
0.819889 | − | 0.572523i | \(-0.194035\pi\) | |||||||
\(710\) | 1.30087 | + | 0.241986i | 0.0488206 | + | 0.00908157i | ||||
\(711\) | −8.35339 | − | 10.4748i | −0.313276 | − | 0.392836i | ||||
\(712\) | −6.26386 | + | 1.42968i | −0.234748 | + | 0.0535797i | ||||
\(713\) | 34.0673 | − | 7.77564i | 1.27583 | − | 0.291200i | ||||
\(714\) | 15.8030 | − | 13.8149i | 0.591414 | − | 0.517008i | ||||
\(715\) | 8.83169 | + | 16.5864i | 0.330287 | + | 0.620297i | ||||
\(716\) | −7.32140 | −0.273614 | ||||||||
\(717\) | 0.713214i | 0.0266354i | ||||||||
\(718\) | −11.2941 | − | 2.57780i | −0.421492 | − | 0.0962028i | ||||
\(719\) | 5.62659 | − | 2.70962i | 0.209836 | − | 0.101052i | −0.326014 | − | 0.945365i | \(-0.605706\pi\) |
0.535850 | + | 0.844313i | \(0.319991\pi\) | |||||||
\(720\) | 0.419341 | − | 2.25429i | 0.0156279 | − | 0.0840124i | ||||
\(721\) | 1.55203 | + | 34.3343i | 0.0578007 | + | 1.27868i | ||||
\(722\) | −14.6450 | − | 11.6790i | −0.545030 | − | 0.434647i | ||||
\(723\) | −20.6692 | − | 4.71762i | −0.768697 | − | 0.175450i | ||||
\(724\) | −0.851985 | + | 1.06836i | −0.0316638 | + | 0.0397051i | ||||
\(725\) | 5.50692 | + | 17.4699i | 0.204522 | + | 0.648815i | ||||
\(726\) | 7.92924 | + | 9.94296i | 0.294282 | + | 0.369018i | ||||
\(727\) | −9.65688 | + | 20.0527i | −0.358154 | + | 0.743714i | −0.999727 | − | 0.0233475i | \(-0.992568\pi\) |
0.641574 | + | 0.767061i | \(0.278282\pi\) | |||||||
\(728\) | 9.35596 | − | 12.8853i | 0.346755 | − | 0.477561i | ||||
\(729\) | 25.9853 | − | 12.5139i | 0.962418 | − | 0.463476i | ||||
\(730\) | −7.92007 | − | 29.1978i | −0.293135 | − | 1.08066i | ||||
\(731\) | 9.51878 | + | 41.7045i | 0.352065 | + | 1.54250i | ||||
\(732\) | 1.06112 | − | 2.20345i | 0.0392203 | − | 0.0814418i | ||||
\(733\) | 23.3251 | + | 18.6011i | 0.861531 | + | 0.687048i | 0.951083 | − | 0.308934i | \(-0.0999723\pi\) |
−0.0895528 | + | 0.995982i | \(0.528544\pi\) | |||||||
\(734\) | 23.8332 | 0.879698 | ||||||||
\(735\) | 15.2602 | − | 15.8396i | 0.562881 | − | 0.584252i | ||||
\(736\) | −3.85956 | −0.142265 | ||||||||
\(737\) | −13.9173 | − | 11.0986i | −0.512649 | − | 0.408824i | ||||
\(738\) | −0.535359 | + | 1.11168i | −0.0197068 | + | 0.0409216i | ||||
\(739\) | 3.62312 | + | 15.8739i | 0.133279 | + | 0.583932i | 0.996822 | + | 0.0796576i | \(0.0253827\pi\) |
−0.863544 | + | 0.504274i | \(0.831760\pi\) | |||||||
\(740\) | 21.3397 | − | 5.78852i | 0.784464 | − | 0.212790i | ||||
\(741\) | −3.94733 | + | 1.90093i | −0.145009 | + | 0.0698325i | ||||
\(742\) | −23.8462 | + | 1.07793i | −0.875421 | + | 0.0395721i | ||||
\(743\) | −17.5998 | + | 36.5463i | −0.645673 | + | 1.34075i | 0.279110 | + | 0.960259i | \(0.409961\pi\) |
−0.924783 | + | 0.380495i | \(0.875754\pi\) | |||||||
\(744\) | 7.93216 | + | 9.94661i | 0.290807 | + | 0.364660i | ||||
\(745\) | 22.7266 | + | 9.83223i | 0.832638 | + | 0.360225i | ||||
\(746\) | 4.06370 | − | 5.09572i | 0.148783 | − | 0.186567i | ||||
\(747\) | 0.196733 | + | 0.0449031i | 0.00719809 | + | 0.00164292i | ||||
\(748\) | −6.16336 | − | 4.91512i | −0.225355 | − | 0.179715i | ||||
\(749\) | −12.6562 | + | 29.6347i | −0.462448 | + | 1.08283i | ||||
\(750\) | −14.8762 | − | 5.05149i | −0.543203 | − | 0.184454i | ||||
\(751\) | −19.3180 | + | 9.30307i | −0.704925 | + | 0.339474i | −0.751767 | − | 0.659428i | \(-0.770798\pi\) |
0.0468425 | + | 0.998902i | \(0.485084\pi\) | |||||||
\(752\) | −2.95065 | − | 0.673466i | −0.107599 | − | 0.0245588i | ||||
\(753\) | 21.2480i | 0.774322i | ||||||||
\(754\) | 22.0489 | 0.802973 | ||||||||
\(755\) | 16.3113 | − | 8.68522i | 0.593630 | − | 0.316087i | ||||
\(756\) | −12.1101 | − | 8.79308i | −0.440440 | − | 0.319801i | ||||
\(757\) | −28.9904 | + | 6.61687i | −1.05367 | + | 0.240494i | −0.714070 | − | 0.700074i | \(-0.753150\pi\) |
−0.339604 | + | 0.940568i | \(0.610293\pi\) | |||||||
\(758\) | −30.7717 | + | 7.02343i | −1.11768 | + | 0.255103i | ||||
\(759\) | −4.72144 | − | 5.92050i | −0.171378 | − | 0.214901i | ||||
\(760\) | 1.13884 | + | 0.211845i | 0.0413099 | + | 0.00768444i | ||||
\(761\) | −8.80536 | − | 38.5788i | −0.319194 | − | 1.39848i | −0.838970 | − | 0.544178i | \(-0.816841\pi\) |
0.519775 | − | 0.854303i | \(-0.326016\pi\) | |||||||
\(762\) | −3.99221 | + | 0.911195i | −0.144622 | + | 0.0330091i | ||||
\(763\) | −0.665729 | + | 3.67459i | −0.0241010 | + | 0.133029i | ||||
\(764\) | 2.53193 | − | 11.0931i | 0.0916020 | − | 0.401334i | ||||
\(765\) | 9.78646 | − | 8.47458i | 0.353830 | − | 0.306399i | ||||
\(766\) | 8.02027 | 0.289784 | ||||||||
\(767\) | −25.0860 | − | 5.72572i | −0.905803 | − | 0.206744i | ||||
\(768\) | −0.609689 | − | 1.26603i | −0.0220002 | − | 0.0456840i | ||||
\(769\) | −3.43212 | − | 4.30375i | −0.123766 | − | 0.155197i | 0.716088 | − | 0.698010i | \(-0.245931\pi\) |
−0.839854 | + | 0.542813i | \(0.817359\pi\) | |||||||
\(770\) | −6.87527 | − | 4.57895i | −0.247767 | − | 0.165014i | ||||
\(771\) | 10.0277 | − | 12.5744i | 0.361140 | − | 0.452855i | ||||
\(772\) | −1.48562 | − | 0.339083i | −0.0534686 | − | 0.0122039i | ||||
\(773\) | −12.7828 | − | 10.1940i | −0.459767 | − | 0.366652i | 0.366046 | − | 0.930597i | \(-0.380711\pi\) |
−0.825812 | + | 0.563945i | \(0.809283\pi\) | |||||||
\(774\) | 7.00004 | − | 3.37104i | 0.251611 | − | 0.121170i | ||||
\(775\) | −39.0635 | + | 22.8756i | −1.40320 | + | 0.821715i | ||||
\(776\) | −8.62552 | − | 4.15383i | −0.309638 | − | 0.149114i | ||||
\(777\) | 6.55360 | − | 36.1736i | 0.235109 | − | 1.29772i | ||||
\(778\) | 11.1222 | + | 23.0955i | 0.398750 | + | 0.828013i | ||||
\(779\) | −0.561607 | − | 0.270456i | −0.0201217 | − | 0.00969008i | ||||
\(780\) | −11.1828 | + | 15.2503i | −0.400409 | + | 0.546049i | ||||
\(781\) | −0.744419 | − | 0.358493i | −0.0266374 | − | 0.0128279i | ||||
\(782\) | −17.0366 | − | 13.5862i | −0.609227 | − | 0.485842i | ||||
\(783\) | − | 20.7224i | − | 0.740557i | ||||||
\(784\) | −0.935570 | + | 6.93720i | −0.0334132 | + | 0.247757i | ||||
\(785\) | −38.7538 | + | 33.5589i | −1.38318 | + | 1.19777i | ||||
\(786\) | 4.09723 | − | 5.13777i | 0.146143 | − | 0.183258i | ||||
\(787\) | −1.37160 | + | 2.84815i | −0.0488922 | + | 0.101526i | −0.923984 | − | 0.382432i | \(-0.875087\pi\) |
0.875092 | + | 0.483957i | \(0.160801\pi\) | |||||||
\(788\) | 2.11725 | − | 0.483250i | 0.0754241 | − | 0.0172151i | ||||
\(789\) | −2.67851 | − | 1.28990i | −0.0953576 | − | 0.0459218i | ||||
\(790\) | 11.6003 | − | 26.8133i | 0.412719 | − | 0.953974i | ||||
\(791\) | −13.7421 | + | 32.1774i | −0.488614 | + | 1.14410i | ||||
\(792\) | −0.621238 | + | 1.29001i | −0.0220747 | + | 0.0458387i | ||||
\(793\) | 8.18968 | − | 6.53105i | 0.290824 | − | 0.231925i | ||||
\(794\) | −16.6860 | + | 8.03554i | −0.592163 | + | 0.285171i | ||||
\(795\) | 28.3255 | − | 1.14731i | 1.00460 | − | 0.0406909i | ||||
\(796\) | 2.07340 | − | 9.08414i | 0.0734896 | − | 0.321979i | ||||
\(797\) | 5.75457 | + | 4.58912i | 0.203837 | + | 0.162555i | 0.720088 | − | 0.693883i | \(-0.244101\pi\) |
−0.516251 | + | 0.856437i | \(0.672673\pi\) | |||||||
\(798\) | 1.13159 | − | 1.55846i | 0.0400580 | − | 0.0551690i | ||||
\(799\) | −10.6538 | − | 13.3595i | −0.376905 | − | 0.472624i | ||||
\(800\) | 4.76869 | − | 1.50320i | 0.168599 | − | 0.0531463i | ||||
\(801\) | −1.46606 | + | 6.42323i | −0.0518007 | + | 0.226954i | ||||
\(802\) | 32.2142i | 1.13752i | ||||||||
\(803\) | 18.8910i | 0.666649i | ||||||||
\(804\) | 3.98633 | − | 17.4653i | 0.140587 | − | 0.615952i | ||||
\(805\) | −19.0044 | − | 12.6570i | −0.669817 | − | 0.446101i | ||||
\(806\) | 12.1253 | + | 53.1246i | 0.427097 | + | 1.87123i | ||||
\(807\) | 17.8079 | − | 4.06453i | 0.626866 | − | 0.143078i | ||||
\(808\) | 14.5682 | − | 11.6177i | 0.512506 | − | 0.408710i | ||||
\(809\) | 6.29454 | + | 7.89310i | 0.221304 | + | 0.277507i | 0.880073 | − | 0.474839i | \(-0.157494\pi\) |
−0.658768 | + | 0.752346i | \(0.728922\pi\) | |||||||
\(810\) | 8.78553 | + | 6.44228i | 0.308692 | + | 0.226359i | ||||
\(811\) | −2.54627 | − | 11.1559i | −0.0894117 | − | 0.391738i | 0.910344 | − | 0.413853i | \(-0.135817\pi\) |
−0.999755 | + | 0.0221148i | \(0.992960\pi\) | |||||||
\(812\) | −8.53391 | + | 4.59552i | −0.299482 | + | 0.161271i | ||||
\(813\) | 23.8519 | + | 5.44404i | 0.836522 | + | 0.190931i | ||||
\(814\) | −13.8068 | −0.483929 | ||||||||
\(815\) | −17.8371 | + | 15.4461i | −0.624808 | + | 0.541052i | ||||
\(816\) | 1.76538 | − | 7.73462i | 0.0618005 | − | 0.270766i | ||||
\(817\) | 1.70300 | + | 3.53632i | 0.0595805 | + | 0.123720i | ||||
\(818\) | −8.56082 | + | 6.82702i | −0.299322 | + | 0.238701i | ||||
\(819\) | −7.74196 | − | 14.3769i | −0.270526 | − | 0.502369i | ||||
\(820\) | −2.68837 | + | 0.108891i | −0.0938819 | + | 0.00380265i | ||||
\(821\) | 5.54680 | − | 24.3021i | 0.193585 | − | 0.848150i | −0.781071 | − | 0.624442i | \(-0.785327\pi\) |
0.974656 | − | 0.223708i | \(-0.0718163\pi\) | |||||||
\(822\) | −13.6783 | − | 10.9080i | −0.477084 | − | 0.380462i | ||||
\(823\) | 0.749015 | + | 1.55535i | 0.0261090 | + | 0.0542160i | 0.913615 | − | 0.406579i | \(-0.133279\pi\) |
−0.887506 | + | 0.460795i | \(0.847564\pi\) | |||||||
\(824\) | 8.09939 | + | 10.1563i | 0.282155 | + | 0.353812i | ||||
\(825\) | 8.13948 | + | 5.47620i | 0.283380 | + | 0.190657i | ||||
\(826\) | 10.9028 | − | 3.01241i | 0.379356 | − | 0.104815i | ||||
\(827\) | 21.3021 | + | 44.2342i | 0.740746 | + | 1.53817i | 0.839680 | + | 0.543081i | \(0.182742\pi\) |
−0.0989345 | + | 0.995094i | \(0.531543\pi\) | |||||||
\(828\) | −1.71721 | + | 3.56582i | −0.0596771 | + | 0.123921i | ||||
\(829\) | 9.81341 | + | 42.9954i | 0.340834 | + | 1.49329i | 0.797318 | + | 0.603559i | \(0.206251\pi\) |
−0.456484 | + | 0.889731i | \(0.650892\pi\) | |||||||
\(830\) | 0.115197 | + | 0.424680i | 0.00399854 | + | 0.0147408i | ||||
\(831\) | −13.6566 | + | 17.1249i | −0.473743 | + | 0.594055i | ||||
\(832\) | − | 6.01860i | − | 0.208658i | ||||||
\(833\) | −28.5497 | + | 27.3283i | −0.989188 | + | 0.946870i | ||||
\(834\) | 0.398557 | 0.0138009 | ||||||||
\(835\) | 1.28602 | + | 31.7499i | 0.0445044 | + | 1.09875i | ||||
\(836\) | −0.651697 | − | 0.313841i | −0.0225394 | − | 0.0108544i | ||||
\(837\) | 49.9285 | − | 11.3958i | 1.72578 | − | 0.393898i | ||||
\(838\) | 12.5076 | − | 25.9723i | 0.432068 | − | 0.897198i | ||||
\(839\) | −2.09024 | + | 1.00661i | −0.0721633 | + | 0.0347520i | −0.469617 | − | 0.882870i | \(-0.655608\pi\) |
0.397454 | + | 0.917622i | \(0.369894\pi\) | |||||||
\(840\) | 1.14971 | − | 8.23332i | 0.0396689 | − | 0.284077i | ||||
\(841\) | 14.0363 | + | 6.75951i | 0.484009 | + | 0.233087i | ||||
\(842\) | −18.1605 | + | 14.4825i | −0.625852 | + | 0.499101i | ||||
\(843\) | 8.69616 | + | 18.0578i | 0.299512 | + | 0.621943i | ||||
\(844\) | −10.9896 | + | 13.7805i | −0.378276 | + | 0.474343i | ||||
\(845\) | −45.8367 | + | 24.4064i | −1.57683 | + | 0.839607i | ||||
\(846\) | −1.93502 | + | 2.42644i | −0.0665274 | + | 0.0834227i | ||||
\(847\) | −15.7597 | − | 18.0278i | −0.541509 | − | 0.619441i | ||||
\(848\) | −7.05385 | + | 5.62526i | −0.242230 | + | 0.193172i | ||||
\(849\) | −6.23829 | + | 3.00420i | −0.214098 | + | 0.103104i | ||||
\(850\) | 26.3411 | + | 10.1512i | 0.903492 | + | 0.348182i | ||||
\(851\) | −38.1644 | −1.30826 | ||||||||
\(852\) | − | 0.831514i | − | 0.0284872i | ||||||
\(853\) | −4.70822 | − | 1.07462i | −0.161206 | − | 0.0367943i | 0.141156 | − | 0.989987i | \(-0.454918\pi\) |
−0.302362 | + | 0.953193i | \(0.597775\pi\) | |||||||
\(854\) | −1.80855 | + | 4.23474i | −0.0618872 | + | 0.144910i | ||||
\(855\) | 0.702417 | − | 0.957907i | 0.0240222 | − | 0.0327597i | ||||
\(856\) | 2.71021 | + | 11.8742i | 0.0926331 | + | 0.405852i | ||||
\(857\) | −10.2272 | + | 8.15594i | −0.349355 | + | 0.278602i | −0.782407 | − | 0.622768i | \(-0.786008\pi\) |
0.433052 | + | 0.901369i | \(0.357437\pi\) | |||||||
\(858\) | 9.23244 | − | 7.36263i | 0.315190 | − | 0.251356i | ||||
\(859\) | −4.56813 | − | 20.0143i | −0.155863 | − | 0.682879i | −0.991115 | − | 0.133011i | \(-0.957535\pi\) |
0.835252 | − | 0.549868i | \(-0.185322\pi\) | |||||||
\(860\) | 13.6624 | + | 10.0184i | 0.465885 | + | 0.341625i | ||||
\(861\) | −1.75698 | + | 4.11398i | −0.0598776 | + | 0.140204i | ||||
\(862\) | 20.9589 | + | 4.78372i | 0.713862 | + | 0.162934i | ||||
\(863\) | 11.7764i | 0.400875i | 0.979707 | + | 0.200437i | \(0.0642363\pi\) | ||||
−0.979707 | + | 0.200437i | \(0.935764\pi\) | |||||||
\(864\) | −5.65651 | −0.192438 | ||||||||
\(865\) | 18.6474 | + | 35.0209i | 0.634031 | + | 1.19074i | ||||
\(866\) | −29.8666 | + | 14.3830i | −1.01491 | + | 0.488755i | ||||
\(867\) | 16.3430 | − | 13.0331i | 0.555039 | − | 0.442629i | ||||
\(868\) | −15.7655 | − | 18.0344i | −0.535115 | − | 0.612127i | ||||
\(869\) | −11.3743 | + | 14.2629i | −0.385846 | + | 0.483835i | ||||
\(870\) | 10.1604 | − | 5.41005i | 0.344469 | − | 0.183418i | ||||
\(871\) | 47.8402 | − | 59.9897i | 1.62100 | − | 2.03267i | ||||
\(872\) | 0.612416 | + | 1.27169i | 0.0207390 | + | 0.0430650i | ||||
\(873\) | −7.67539 | + | 6.12092i | −0.259773 | + | 0.207162i | ||||
\(874\) | −1.80140 | − | 0.867510i | −0.0609333 | − | 0.0293439i | ||||
\(875\) | 28.4105 | + | 8.23663i | 0.960451 | + | 0.278449i | ||||
\(876\) | −17.1288 | + | 8.24879i | −0.578728 | + | 0.278701i | ||||
\(877\) | 11.9805 | − | 24.8778i | 0.404553 | − | 0.840063i | −0.594792 | − | 0.803880i | \(-0.702766\pi\) |
0.999345 | − | 0.0361834i | \(-0.0115201\pi\) | |||||||
\(878\) | 18.2881 | − | 4.17414i | 0.617193 | − | 0.140870i | ||||
\(879\) | 18.1817 | + | 8.75586i | 0.613254 | + | 0.295328i | ||||
\(880\) | −3.11962 | + | 0.126359i | −0.105162 | + | 0.00425956i | ||||
\(881\) | −1.38520 | −0.0466684 | −0.0233342 | − | 0.999728i | \(-0.507428\pi\) | ||||
−0.0233342 | + | 0.999728i | \(0.507428\pi\) | |||||||
\(882\) | 5.99297 | + | 3.95089i | 0.201794 | + | 0.133033i | ||||
\(883\) | 3.75284i | 0.126293i | 0.998004 | + | 0.0631466i | \(0.0201136\pi\) | ||||
−0.998004 | + | 0.0631466i | \(0.979886\pi\) | |||||||
\(884\) | 21.1864 | − | 26.5669i | 0.712575 | − | 0.893541i | ||||
\(885\) | −12.9648 | + | 3.51678i | −0.435807 | + | 0.118215i | ||||
\(886\) | −6.56929 | − | 28.7819i | −0.220700 | − | 0.966948i | ||||
\(887\) | −13.2270 | + | 27.4662i | −0.444120 | + | 0.922225i | 0.551969 | + | 0.833865i | \(0.313877\pi\) |
−0.996089 | + | 0.0883597i | \(0.971837\pi\) | |||||||
\(888\) | −6.02877 | − | 12.5189i | −0.202312 | − | 0.420106i | ||||
\(889\) | 7.43156 | − | 2.05332i | 0.249246 | − | 0.0688662i | ||||
\(890\) | −13.8656 | + | 3.76111i | −0.464774 | + | 0.126073i | ||||
\(891\) | −4.24152 | − | 5.31870i | −0.142096 | − | 0.178183i | ||||
\(892\) | −5.35169 | − | 11.1129i | −0.179188 | − | 0.372087i | ||||
\(893\) | −1.22580 | − | 0.977545i | −0.0410199 | − | 0.0327123i | ||||
\(894\) | 3.46267 | − | 15.1710i | 0.115809 | − | 0.507393i | ||||
\(895\) | −16.3577 | + | 0.662564i | −0.546779 | + | 0.0221471i | ||||
\(896\) | 1.25442 | + | 2.32947i | 0.0419073 | + | 0.0778221i | ||||
\(897\) | 25.5200 | − | 20.3516i | 0.852090 | − | 0.679519i | ||||
\(898\) | −7.88955 | − | 16.3828i | −0.263278 | − | 0.546702i | ||||
\(899\) | 7.38056 | − | 32.3363i | 0.246155 | − | 1.07848i | ||||
\(900\) | 0.732901 | − | 5.07457i | 0.0244300 | − | 0.169152i | ||||
\(901\) | −50.9383 | −1.69700 | ||||||||
\(902\) | 1.63797 | + | 0.373855i | 0.0545383 | + | 0.0124480i | ||||
\(903\) | 24.8011 | − | 13.3554i | 0.825329 | − | 0.444440i | ||||
\(904\) | 2.94275 | + | 12.8930i | 0.0978745 | + | 0.428816i | ||||
\(905\) | −1.80685 | + | 2.46406i | −0.0600618 | + | 0.0819081i | ||||
\(906\) | −7.24052 | − | 9.07932i | −0.240550 | − | 0.301640i | ||||
\(907\) | −41.1740 | + | 32.8352i | −1.36716 | + | 1.09027i | −0.380982 | + | 0.924582i | \(0.624414\pi\) |
−0.986178 | + | 0.165691i | \(0.947014\pi\) | |||||||
\(908\) | −21.7254 | + | 4.95867i | −0.720982 | + | 0.164559i | ||||
\(909\) | −4.25181 | − | 18.6284i | −0.141024 | − | 0.617865i | ||||
\(910\) | 19.7373 | − | 29.6355i | 0.654286 | − | 0.982407i | ||||
\(911\) | 10.6171 | − | 46.5166i | 0.351760 | − | 1.54116i | −0.421354 | − | 0.906896i | \(-0.638445\pi\) |
0.773114 | − | 0.634267i | \(-0.218698\pi\) | |||||||
\(912\) | − | 0.727944i | − | 0.0241046i | ||||||
\(913\) | − | 0.274768i | − | 0.00909350i | ||||||
\(914\) | 2.60484 | − | 11.4125i | 0.0861604 | − | 0.377493i | ||||
\(915\) | 2.17140 | − | 5.01905i | 0.0717842 | − | 0.165925i | ||||
\(916\) | −14.9986 | − | 18.8076i | −0.495566 | − | 0.621420i | ||||
\(917\) | −7.26975 | + | 10.0121i | −0.240068 | + | 0.330629i | ||||
\(918\) | −24.9686 | − | 19.9118i | −0.824085 | − | 0.657186i | ||||
\(919\) | −3.51232 | + | 15.3885i | −0.115861 | + | 0.507620i | 0.883380 | + | 0.468658i | \(0.155262\pi\) |
−0.999241 | + | 0.0389619i | \(0.987595\pi\) | |||||||
\(920\) | −8.62317 | + | 0.349278i | −0.284297 | + | 0.0115154i | ||||
\(921\) | −28.3373 | + | 13.6465i | −0.933745 | + | 0.449668i | ||||
\(922\) | −13.8610 | + | 11.0538i | −0.456487 | + | 0.364036i | ||||
\(923\) | 1.54527 | − | 3.20878i | 0.0508631 | − | 0.105618i | ||||
\(924\) | −2.03882 | + | 4.77393i | −0.0670723 | + | 0.157051i | ||||
\(925\) | 47.1541 | − | 14.8641i | 1.55042 | − | 0.488729i | ||||
\(926\) | −17.7173 | − | 8.53219i | −0.582226 | − | 0.280385i | ||||
\(927\) | 12.9869 | − | 2.96419i | 0.426547 | − | 0.0973566i | ||||
\(928\) | −1.58951 | + | 3.30066i | −0.0521784 | + | 0.108349i | ||||
\(929\) | 1.81052 | − | 2.27033i | 0.0594014 | − | 0.0744870i | −0.751243 | − | 0.660025i | \(-0.770545\pi\) |
0.810645 | + | 0.585538i | \(0.199117\pi\) | |||||||
\(930\) | 18.6224 | + | 21.5052i | 0.610654 | + | 0.705185i | ||||
\(931\) | −1.99593 | + | 3.02756i | −0.0654141 | + | 0.0992244i | ||||
\(932\) | − | 8.07311i | − | 0.264443i | ||||||
\(933\) | −16.5902 | − | 13.2302i | −0.543138 | − | 0.433138i | ||||
\(934\) | 28.9921 | + | 13.9619i | 0.948650 | + | 0.456846i | ||||
\(935\) | −14.2152 | − | 10.4238i | −0.464887 | − | 0.340894i | ||||
\(936\) | −5.56054 | − | 2.67782i | −0.181752 | − | 0.0875272i | ||||
\(937\) | −18.2495 | − | 37.8955i | −0.596186 | − | 1.23799i | −0.952760 | − | 0.303725i | \(-0.901769\pi\) |
0.356574 | − | 0.934267i | \(-0.383945\pi\) | |||||||
\(938\) | −6.01301 | + | 33.1897i | −0.196332 | + | 1.08368i | ||||
\(939\) | −10.8925 | − | 5.24557i | −0.355465 | − | 0.171183i | ||||
\(940\) | −6.65338 | − | 1.23766i | −0.217009 | − | 0.0403679i | ||||
\(941\) | 18.7873 | − | 9.04747i | 0.612448 | − | 0.294939i | −0.101830 | − | 0.994802i | \(-0.532470\pi\) |
0.714278 | + | 0.699863i | \(0.246755\pi\) | |||||||
\(942\) | 25.1872 | + | 20.0861i | 0.820644 | + | 0.654442i | ||||
\(943\) | 4.52762 | + | 1.03340i | 0.147440 | + | 0.0336521i | ||||
\(944\) | 2.66559 | − | 3.34254i | 0.0867574 | − | 0.108790i | ||||
\(945\) | −27.8526 | − | 18.5499i | −0.906044 | − | 0.603428i | ||||
\(946\) | −6.59601 | − | 8.27113i | −0.214455 | − | 0.268918i | ||||
\(947\) | 13.8501 | + | 28.7601i | 0.450069 | + | 0.934578i | 0.995350 | + | 0.0963247i | \(0.0307087\pi\) |
−0.545281 | + | 0.838253i | \(0.683577\pi\) | |||||||
\(948\) | −17.8990 | − | 4.08533i | −0.581332 | − | 0.132685i | ||||
\(949\) | −81.4287 | −2.64329 | ||||||||
\(950\) | 2.56360 | + | 0.370251i | 0.0831742 | + | 0.0120125i | ||||
\(951\) | 7.73071 | − | 33.8704i | 0.250685 | − | 1.09832i | ||||
\(952\) | −2.66291 | + | 14.6983i | −0.0863053 | + | 0.476375i | ||||
\(953\) | 39.3321 | − | 8.97729i | 1.27409 | − | 0.290803i | 0.468600 | − | 0.883411i | \(-0.344759\pi\) |
0.805491 | + | 0.592608i | \(0.201901\pi\) | |||||||
\(954\) | 2.05871 | + | 9.01981i | 0.0666533 | + | 0.292027i | ||||
\(955\) | 4.65304 | − | 25.0137i | 0.150569 | − | 0.809426i | ||||
\(956\) | −0.316457 | − | 0.396824i | −0.0102349 | − | 0.0128342i | ||||
\(957\) | −7.00763 | + | 1.59945i | −0.226525 | + | 0.0517028i | ||||
\(958\) | −1.19330 | + | 0.272362i | −0.0385536 | + | 0.00879961i | ||||
\(959\) | 26.6552 | + | 19.3542i | 0.860741 | + | 0.624980i | ||||
\(960\) | −1.47676 | − | 2.77344i | −0.0476622 | − | 0.0895123i | ||||
\(961\) | 50.9699 | 1.64419 | ||||||||
\(962\) | − | 59.5136i | − | 1.91880i | ||||||
\(963\) | 12.1763 | + | 2.77917i | 0.392377 | + | 0.0895574i | ||||
\(964\) | 13.5934 | − | 6.54622i | 0.437813 | − | 0.210839i | ||||
\(965\) | −3.34991 | − | 0.623148i | −0.107837 | − | 0.0200598i | ||||
\(966\) | −5.63565 | + | 13.1960i | −0.181324 | + | 0.424573i | ||||
\(967\) | −43.7649 | − | 34.9013i | −1.40738 | − | 1.12235i | −0.975393 | − | 0.220473i | \(-0.929240\pi\) |
−0.431991 | − | 0.901878i | \(-0.642189\pi\) | |||||||
\(968\) | −8.82349 | − | 2.01390i | −0.283598 | − | 0.0647293i | ||||
\(969\) | 2.56247 | − | 3.21324i | 0.0823184 | − | 0.103224i | ||||
\(970\) | −19.6474 | − | 8.50006i | −0.630839 | − | 0.272920i | ||||
\(971\) | 13.1973 | + | 16.5488i | 0.423520 | + | 0.531078i | 0.947117 | − | 0.320889i | \(-0.103982\pi\) |
−0.523597 | + | 0.851966i | \(0.675410\pi\) | |||||||
\(972\) | −4.39232 | + | 9.12074i | −0.140884 | + | 0.292548i | ||||
\(973\) | −0.749654 | + | 0.0338870i | −0.0240328 | + | 0.00108637i | ||||
\(974\) | 0.484838 | − | 0.233486i | 0.0155352 | − | 0.00748136i | ||||
\(975\) | −23.6049 | + | 35.0848i | −0.755962 | + | 1.12361i | ||||
\(976\) | 0.387284 | + | 1.69680i | 0.0123966 | + | 0.0543133i | ||||
\(977\) | −6.03452 | + | 12.5308i | −0.193061 | + | 0.400896i | −0.974919 | − | 0.222561i | \(-0.928558\pi\) |
0.781857 | + | 0.623457i | \(0.214272\pi\) | |||||||
\(978\) | 11.5929 | + | 9.24500i | 0.370699 | + | 0.295623i | ||||
\(979\) | 8.97103 | 0.286715 | ||||||||
\(980\) | −1.46249 | + | 15.5840i | −0.0467175 | + | 0.497813i | ||||
\(981\) | 1.44739 | 0.0462115 | ||||||||
\(982\) | −19.6334 | − | 15.6571i | −0.626527 | − | 0.499638i | ||||
\(983\) | 16.4993 | − | 34.2611i | 0.526246 | − | 1.09276i | −0.453266 | − | 0.891375i | \(-0.649741\pi\) |
0.979512 | − | 0.201385i | \(-0.0645444\pi\) | |||||||
\(984\) | 0.376240 | + | 1.64842i | 0.0119941 | + | 0.0525496i | ||||
\(985\) | 4.68671 | − | 1.27130i | 0.149331 | − | 0.0405069i | ||||
\(986\) | −18.6351 | + | 8.97421i | −0.593464 | + | 0.285797i | ||||
\(987\) | −6.61107 | + | 9.10497i | −0.210433 | + | 0.289814i | ||||
\(988\) | 1.35280 | − | 2.80911i | 0.0430382 | − | 0.0893697i | ||||
\(989\) | −18.2325 | − | 22.8628i | −0.579760 | − | 0.726996i | ||||
\(990\) | −1.27125 | + | 2.93842i | −0.0404030 | + | 0.0933890i | ||||
\(991\) | 36.6415 | − | 45.9470i | 1.16396 | − | 1.45956i | 0.301470 | − | 0.953476i | \(-0.402523\pi\) |
0.862487 | − | 0.506080i | \(-0.168906\pi\) | |||||||
\(992\) | −8.82673 | − | 2.01464i | −0.280249 | − | 0.0639650i | ||||
\(993\) | −11.1699 | − | 8.90768i | −0.354465 | − | 0.282677i | ||||
\(994\) | 0.0706988 | + | 1.56401i | 0.00224243 | + | 0.0496075i | ||||
\(995\) | 3.81037 | − | 20.4838i | 0.120797 | − | 0.649379i | ||||
\(996\) | 0.249137 | − | 0.119978i | 0.00789421 | − | 0.00380165i | ||||
\(997\) | −27.1138 | − | 6.18854i | −0.858702 | − | 0.195993i | −0.229571 | − | 0.973292i | \(-0.573732\pi\) |
−0.629132 | + | 0.777299i | \(0.716589\pi\) | |||||||
\(998\) | − | 42.3346i | − | 1.34008i | ||||||
\(999\) | −55.9332 | −1.76965 |
(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 | 490.2.p.a.239.24 | yes | 168 | |
5.4 | even | 2 | inner | 490.2.p.a.239.5 | ✓ | 168 | |
49.8 | even | 7 | inner | 490.2.p.a.449.5 | yes | 168 | |
245.204 | even | 14 | inner | 490.2.p.a.449.24 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.p.a.239.5 | ✓ | 168 | 5.4 | even | 2 | inner | |
490.2.p.a.239.24 | yes | 168 | 1.1 | even | 1 | trivial | |
490.2.p.a.449.5 | yes | 168 | 49.8 | even | 7 | inner | |
490.2.p.a.449.24 | yes | 168 | 245.204 | even | 14 | inner |