Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.21 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.21 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.342957 | + | 0.873839i | −0.242507 | + | 0.617897i | −0.999363 | − | 0.0356839i | \(-0.988639\pi\) |
0.756856 | + | 0.653581i | \(0.226734\pi\) | |||||||
\(3\) | −1.22183 | + | 1.22765i | −0.705426 | + | 0.708784i | ||||
\(4\) | 0.820128 | + | 0.760968i | 0.410064 | + | 0.380484i | ||||
\(5\) | −2.38974 | + | 1.15084i | −1.06872 | + | 0.514670i | −0.883695 | − | 0.468063i | \(-0.844952\pi\) |
−0.185029 | + | 0.982733i | \(0.559238\pi\) | |||||||
\(6\) | −0.653732 | − | 1.48872i | −0.266885 | − | 0.607766i | ||||
\(7\) | 0.937668 | − | 2.47402i | 0.354405 | − | 0.935092i | ||||
\(8\) | −2.63776 | + | 1.27028i | −0.932591 | + | 0.449112i | ||||
\(9\) | −0.0142463 | − | 2.99997i | −0.00474876 | − | 0.999989i | ||||
\(10\) | −0.186070 | − | 2.48294i | −0.0588406 | − | 0.785173i | ||||
\(11\) | −3.42545 | − | 4.29538i | −1.03281 | − | 1.29511i | −0.954511 | − | 0.298176i | \(-0.903622\pi\) |
−0.0783016 | − | 0.996930i | \(-0.524950\pi\) | |||||||
\(12\) | −1.93626 | + | 0.0770541i | −0.558951 | + | 0.0222436i | ||||
\(13\) | −1.37379 | + | 3.50035i | −0.381020 | + | 0.970823i | 0.603783 | + | 0.797149i | \(0.293659\pi\) |
−0.984803 | + | 0.173674i | \(0.944436\pi\) | |||||||
\(14\) | 1.84032 | + | 1.66785i | 0.491845 | + | 0.445752i | ||||
\(15\) | 1.50704 | − | 4.33990i | 0.389116 | − | 1.12056i | ||||
\(16\) | −0.0381680 | − | 0.509317i | −0.00954200 | − | 0.127329i | ||||
\(17\) | −2.12354 | + | 1.97035i | −0.515033 | + | 0.477881i | −0.894339 | − | 0.447391i | \(-0.852353\pi\) |
0.379306 | + | 0.925271i | \(0.376163\pi\) | |||||||
\(18\) | 2.62637 | + | 1.01641i | 0.619042 | + | 0.239570i | ||||
\(19\) | 1.07915 | − | 1.86914i | 0.247574 | − | 0.428810i | −0.715278 | − | 0.698840i | \(-0.753700\pi\) |
0.962852 | + | 0.270029i | \(0.0870334\pi\) | |||||||
\(20\) | −2.83564 | − | 0.874680i | −0.634069 | − | 0.195584i | ||||
\(21\) | 1.89156 | + | 4.17397i | 0.412771 | + | 0.910835i | ||||
\(22\) | 4.92825 | − | 1.52016i | 1.05071 | − | 0.324100i | ||||
\(23\) | 1.11865 | − | 4.90111i | 0.233254 | − | 1.02195i | −0.713667 | − | 0.700485i | \(-0.752967\pi\) |
0.946921 | − | 0.321467i | \(-0.104176\pi\) | |||||||
\(24\) | 1.66345 | − | 4.79032i | 0.339550 | − | 0.977820i | ||||
\(25\) | 1.26898 | − | 1.59125i | 0.253796 | − | 0.318250i | ||||
\(26\) | −2.58759 | − | 2.40094i | −0.507469 | − | 0.470862i | ||||
\(27\) | 3.70031 | + | 3.64797i | 0.712126 | + | 0.702052i | ||||
\(28\) | 2.65166 | − | 1.31548i | 0.501116 | − | 0.248602i | ||||
\(29\) | 5.56428 | + | 1.71635i | 1.03326 | + | 0.318719i | 0.764592 | − | 0.644514i | \(-0.222940\pi\) |
0.268668 | + | 0.963233i | \(0.413417\pi\) | |||||||
\(30\) | 3.27552 | + | 2.80530i | 0.598026 | + | 0.512176i | ||||
\(31\) | 0.882100 | − | 1.52784i | 0.158430 | − | 0.274409i | −0.775873 | − | 0.630889i | \(-0.782690\pi\) |
0.934303 | + | 0.356481i | \(0.116023\pi\) | |||||||
\(32\) | −5.13711 | − | 1.58459i | −0.908121 | − | 0.280118i | ||||
\(33\) | 9.45855 | + | 1.04299i | 1.64652 | + | 0.181560i | ||||
\(34\) | −0.993491 | − | 2.53137i | −0.170382 | − | 0.434127i | ||||
\(35\) | 0.606415 | + | 6.99137i | 0.102503 | + | 1.18176i | ||||
\(36\) | 2.27119 | − | 2.47120i | 0.378532 | − | 0.411866i | ||||
\(37\) | −9.91167 | − | 3.05734i | −1.62947 | − | 0.502624i | −0.660712 | − | 0.750640i | \(-0.729746\pi\) |
−0.968756 | + | 0.248015i | \(0.920222\pi\) | |||||||
\(38\) | 1.26323 | + | 1.58404i | 0.204922 | + | 0.256965i | ||||
\(39\) | −2.61867 | − | 5.96337i | −0.419322 | − | 0.954904i | ||||
\(40\) | 4.84168 | − | 6.07128i | 0.765537 | − | 0.959954i | ||||
\(41\) | −3.64491 | − | 2.48505i | −0.569239 | − | 0.388100i | 0.244223 | − | 0.969719i | \(-0.421467\pi\) |
−0.813461 | + | 0.581619i | \(0.802420\pi\) | |||||||
\(42\) | −4.29610 | + | 0.221426i | −0.662902 | + | 0.0341667i | ||||
\(43\) | −8.40136 | + | 5.72795i | −1.28120 | + | 0.873505i | −0.996374 | − | 0.0850759i | \(-0.972887\pi\) |
−0.284822 | + | 0.958581i | \(0.591934\pi\) | |||||||
\(44\) | 0.459337 | − | 6.12942i | 0.0692476 | − | 0.924045i | ||||
\(45\) | 3.48652 | + | 7.15274i | 0.519740 | + | 1.06627i | ||||
\(46\) | 3.89913 | + | 2.65838i | 0.574896 | + | 0.391957i | ||||
\(47\) | 0.573497 | − | 1.46125i | 0.0836531 | − | 0.213145i | −0.882927 | − | 0.469511i | \(-0.844430\pi\) |
0.966580 | + | 0.256366i | \(0.0825254\pi\) | |||||||
\(48\) | 0.671897 | + | 0.575443i | 0.0969800 | + | 0.0830581i | ||||
\(49\) | −5.24156 | − | 4.63962i | −0.748794 | − | 0.662803i | ||||
\(50\) | 0.955291 | + | 1.65461i | 0.135099 | + | 0.233998i | ||||
\(51\) | 0.175704 | − | 5.01440i | 0.0246035 | − | 0.702157i | ||||
\(52\) | −3.79034 | + | 1.82533i | −0.525625 | + | 0.253128i | ||||
\(53\) | 3.11830 | − | 0.961867i | 0.428331 | − | 0.132123i | −0.0730914 | − | 0.997325i | \(-0.523286\pi\) |
0.501422 | + | 0.865203i | \(0.332810\pi\) | |||||||
\(54\) | −4.45678 | + | 1.98238i | −0.606492 | + | 0.269768i | ||||
\(55\) | 13.1292 | + | 6.32270i | 1.77034 | + | 0.852553i | ||||
\(56\) | 0.669353 | + | 7.71699i | 0.0894460 | + | 1.03123i | ||||
\(57\) | 0.976109 | + | 3.60859i | 0.129289 | + | 0.477970i | ||||
\(58\) | −3.40812 | + | 4.27365i | −0.447508 | + | 0.561158i | ||||
\(59\) | −2.90904 | + | 1.98335i | −0.378725 | + | 0.258210i | −0.737689 | − | 0.675141i | \(-0.764083\pi\) |
0.358963 | + | 0.933352i | \(0.383130\pi\) | |||||||
\(60\) | 4.53849 | − | 2.41246i | 0.585916 | − | 0.311448i | ||||
\(61\) | −3.65212 | + | 3.38867i | −0.467606 | + | 0.433875i | −0.878453 | − | 0.477829i | \(-0.841424\pi\) |
0.410846 | + | 0.911705i | \(0.365233\pi\) | |||||||
\(62\) | 1.03257 | + | 1.29480i | 0.131136 | + | 0.164439i | ||||
\(63\) | −7.43534 | − | 2.77773i | −0.936764 | − | 0.349961i | ||||
\(64\) | 3.78337 | − | 4.74419i | 0.472921 | − | 0.593024i | ||||
\(65\) | −0.745345 | − | 9.94593i | −0.0924486 | − | 1.23364i | ||||
\(66\) | −4.15527 | + | 7.90755i | −0.511479 | + | 0.973352i | ||||
\(67\) | 3.22362 | − | 5.58347i | 0.393827 | − | 0.682129i | −0.599123 | − | 0.800657i | \(-0.704484\pi\) |
0.992951 | + | 0.118528i | \(0.0378175\pi\) | |||||||
\(68\) | −3.24095 | −0.393023 | ||||||||
\(69\) | 4.65004 | + | 7.36164i | 0.559799 | + | 0.886237i | ||||
\(70\) | −6.31731 | − | 1.86783i | −0.755062 | − | 0.223248i | ||||
\(71\) | −2.06456 | + | 9.04545i | −0.245019 | + | 1.07350i | 0.691361 | + | 0.722509i | \(0.257011\pi\) |
−0.936380 | + | 0.350988i | \(0.885846\pi\) | |||||||
\(72\) | 3.84838 | + | 7.89511i | 0.453536 | + | 0.930447i | ||||
\(73\) | −0.706030 | − | 0.106417i | −0.0826345 | − | 0.0124552i | 0.107595 | − | 0.994195i | \(-0.465685\pi\) |
−0.190229 | + | 0.981740i | \(0.560923\pi\) | |||||||
\(74\) | 6.07090 | − | 7.61267i | 0.705728 | − | 0.884954i | ||||
\(75\) | 0.403016 | + | 3.50210i | 0.0465362 | + | 0.404388i | ||||
\(76\) | 2.30740 | − | 0.711737i | 0.264676 | − | 0.0816419i | ||||
\(77\) | −13.8388 | + | 4.44700i | −1.57708 | + | 0.506782i | ||||
\(78\) | 6.10912 | − | 0.243114i | 0.691721 | − | 0.0275273i | ||||
\(79\) | −5.41351 | − | 9.37648i | −0.609068 | − | 1.05494i | −0.991394 | − | 0.130909i | \(-0.958210\pi\) |
0.382326 | − | 0.924027i | \(-0.375123\pi\) | |||||||
\(80\) | 0.677353 | + | 1.17321i | 0.0757303 | + | 0.131169i | ||||
\(81\) | −8.99959 | + | 0.0854767i | −0.999955 | + | 0.00949741i | ||||
\(82\) | 3.42158 | − | 2.33280i | 0.377851 | − | 0.257614i | ||||
\(83\) | 6.20131 | + | 15.8007i | 0.680682 | + | 1.73435i | 0.678770 | + | 0.734351i | \(0.262513\pi\) |
0.00191131 | + | 0.999998i | \(0.499392\pi\) | |||||||
\(84\) | −1.62494 | + | 4.86260i | −0.177295 | + | 0.530554i | ||||
\(85\) | 2.80714 | − | 7.15248i | 0.304477 | − | 0.775795i | ||||
\(86\) | −2.12401 | − | 9.30588i | −0.229037 | − | 1.00348i | ||||
\(87\) | −8.90570 | + | 4.73389i | −0.954791 | + | 0.507526i | ||||
\(88\) | 14.4919 | + | 6.97892i | 1.54484 | + | 0.743955i | ||||
\(89\) | −2.89643 | − | 7.37998i | −0.307021 | − | 0.782277i | −0.998222 | − | 0.0596137i | \(-0.981013\pi\) |
0.691201 | − | 0.722663i | \(-0.257082\pi\) | |||||||
\(90\) | −7.44607 | + | 0.593577i | −0.784885 | + | 0.0625685i | ||||
\(91\) | 7.37179 | + | 6.68094i | 0.772773 | + | 0.700353i | ||||
\(92\) | 4.64702 | − | 3.16828i | 0.484485 | − | 0.330316i | ||||
\(93\) | 0.797876 | + | 2.94968i | 0.0827358 | + | 0.305868i | ||||
\(94\) | 1.08021 | + | 1.00229i | 0.111415 | + | 0.103378i | ||||
\(95\) | −0.427807 | + | 5.70868i | −0.0438920 | + | 0.585699i | ||||
\(96\) | 8.22201 | − | 4.37046i | 0.839155 | − | 0.446059i | ||||
\(97\) | 0.441981 | − | 0.765534i | 0.0448764 | − | 0.0777282i | −0.842715 | − | 0.538360i | \(-0.819044\pi\) |
0.887591 | + | 0.460632i | \(0.152377\pi\) | |||||||
\(98\) | 5.85191 | − | 2.98909i | 0.591132 | − | 0.301944i | ||||
\(99\) | −12.8372 | + | 10.3374i | −1.29019 | + | 1.03895i | ||||
\(100\) | 2.25162 | − | 0.339376i | 0.225162 | − | 0.0339376i | ||||
\(101\) | −17.8111 | + | 8.57736i | −1.77227 | + | 0.853479i | −0.807722 | + | 0.589564i | \(0.799300\pi\) |
−0.964546 | + | 0.263915i | \(0.914986\pi\) | |||||||
\(102\) | 4.32152 | + | 1.87326i | 0.427894 | + | 0.185480i | ||||
\(103\) | −10.5642 | + | 5.08746i | −1.04092 | + | 0.501282i | −0.874628 | − | 0.484794i | \(-0.838895\pi\) |
−0.166295 | + | 0.986076i | \(0.553180\pi\) | |||||||
\(104\) | −0.822702 | − | 10.9782i | −0.0806726 | − | 1.07650i | ||||
\(105\) | −9.32389 | − | 7.79782i | −0.909918 | − | 0.760990i | ||||
\(106\) | −0.228923 | + | 3.05477i | −0.0222350 | + | 0.296705i | ||||
\(107\) | 2.14152 | + | 5.45650i | 0.207028 | + | 0.527500i | 0.996241 | − | 0.0866197i | \(-0.0276065\pi\) |
−0.789213 | + | 0.614120i | \(0.789511\pi\) | |||||||
\(108\) | 0.258744 | + | 5.80762i | 0.0248977 | + | 0.558839i | ||||
\(109\) | 3.75975 | − | 9.57968i | 0.360118 | − | 0.917567i | −0.629906 | − | 0.776671i | \(-0.716907\pi\) |
0.990024 | − | 0.140895i | \(-0.0449982\pi\) | |||||||
\(110\) | −10.0278 | + | 9.30442i | −0.956111 | + | 0.887141i | ||||
\(111\) | 15.8638 | − | 8.43249i | 1.50572 | − | 0.800376i | ||||
\(112\) | −1.29585 | − | 0.383141i | −0.122446 | − | 0.0362035i | ||||
\(113\) | −12.1264 | − | 1.82777i | −1.14076 | − | 0.171942i | −0.448631 | − | 0.893717i | \(-0.648088\pi\) |
−0.692128 | + | 0.721775i | \(0.743327\pi\) | |||||||
\(114\) | −3.48809 | − | 0.384629i | −0.326690 | − | 0.0360238i | ||||
\(115\) | 2.96711 | + | 12.9998i | 0.276684 | + | 1.21223i | ||||
\(116\) | 3.25733 | + | 5.64187i | 0.302436 | + | 0.523834i | ||||
\(117\) | 10.5205 | + | 4.07145i | 0.972621 | + | 0.376405i | ||||
\(118\) | −0.735455 | − | 3.22224i | −0.0677041 | − | 0.296631i | ||||
\(119\) | 2.88352 | + | 7.10121i | 0.264332 | + | 0.650967i | ||||
\(120\) | 1.53767 | + | 13.3620i | 0.140370 | + | 1.21978i | ||||
\(121\) | −4.26884 | + | 18.7030i | −0.388077 | + | 1.70027i | ||||
\(122\) | −1.70864 | − | 4.35353i | −0.154693 | − | 0.394150i | ||||
\(123\) | 7.50424 | − | 1.43834i | 0.676635 | − | 0.129691i | ||||
\(124\) | 1.88608 | − | 0.581777i | 0.169375 | − | 0.0522451i | ||||
\(125\) | 1.74983 | − | 7.66649i | 0.156509 | − | 0.685711i | ||||
\(126\) | 4.97728 | − | 5.54465i | 0.443412 | − | 0.493956i | ||||
\(127\) | 4.06811 | + | 17.8236i | 0.360987 | + | 1.58159i | 0.750696 | + | 0.660648i | \(0.229718\pi\) |
−0.389709 | + | 0.920938i | \(0.627424\pi\) | |||||||
\(128\) | −2.52781 | − | 4.37830i | −0.223429 | − | 0.386991i | ||||
\(129\) | 3.23315 | − | 17.3125i | 0.284663 | − | 1.52428i | ||||
\(130\) | 8.94677 | + | 2.75971i | 0.784683 | + | 0.242043i | ||||
\(131\) | 0.790009 | + | 0.380448i | 0.0690234 | + | 0.0332399i | 0.468077 | − | 0.883688i | \(-0.344947\pi\) |
−0.399054 | + | 0.916928i | \(0.630661\pi\) | |||||||
\(132\) | 6.96355 | + | 8.05304i | 0.606099 | + | 0.700927i | ||||
\(133\) | −3.61241 | − | 4.42247i | −0.313236 | − | 0.383477i | ||||
\(134\) | 3.77349 | + | 4.73181i | 0.325980 | + | 0.408766i | ||||
\(135\) | −13.0410 | − | 4.45924i | −1.12239 | − | 0.383790i | ||||
\(136\) | 3.09849 | − | 7.89481i | 0.265693 | − | 0.676975i | ||||
\(137\) | 9.50437 | + | 4.57706i | 0.812013 | + | 0.391045i | 0.793339 | − | 0.608781i | \(-0.208341\pi\) |
0.0186745 | + | 0.999826i | \(0.494055\pi\) | |||||||
\(138\) | −8.02765 | + | 1.53867i | −0.683359 | + | 0.130980i | ||||
\(139\) | −16.3034 | − | 11.1155i | −1.38284 | − | 0.942802i | −0.999818 | − | 0.0190617i | \(-0.993932\pi\) |
−0.383019 | − | 0.923741i | \(-0.625116\pi\) | |||||||
\(140\) | −4.82287 | + | 6.19528i | −0.407607 | + | 0.523597i | ||||
\(141\) | 1.09318 | + | 2.48945i | 0.0920624 | + | 0.209650i | ||||
\(142\) | −7.19621 | − | 4.90629i | −0.603892 | − | 0.411727i | ||||
\(143\) | 19.7412 | − | 6.08935i | 1.65084 | − | 0.509217i | ||||
\(144\) | −1.52739 | + | 0.121759i | −0.127282 | + | 0.0101465i | ||||
\(145\) | −15.2724 | + | 2.30195i | −1.26831 | + | 0.191166i | ||||
\(146\) | 0.335129 | − | 0.580460i | 0.0277355 | − | 0.0480392i | ||||
\(147\) | 12.1001 | − | 0.765952i | 0.998002 | − | 0.0631746i | ||||
\(148\) | −5.80230 | − | 10.0499i | −0.476946 | − | 0.826095i | ||||
\(149\) | 4.12913 | + | 5.17777i | 0.338272 | + | 0.424179i | 0.921651 | − | 0.388021i | \(-0.126841\pi\) |
−0.583379 | + | 0.812200i | \(0.698270\pi\) | |||||||
\(150\) | −3.19849 | − | 0.848899i | −0.261156 | − | 0.0693123i | ||||
\(151\) | 3.91674 | − | 17.1604i | 0.318740 | − | 1.39649i | −0.521025 | − | 0.853541i | \(-0.674450\pi\) |
0.839765 | − | 0.542950i | \(-0.182693\pi\) | |||||||
\(152\) | −0.472208 | + | 6.30117i | −0.0383011 | + | 0.511093i | ||||
\(153\) | 5.94125 | + | 6.34247i | 0.480321 | + | 0.512758i | ||||
\(154\) | 0.860146 | − | 13.6180i | 0.0693125 | − | 1.09737i | ||||
\(155\) | −0.349691 | + | 4.66630i | −0.0280879 | + | 0.374806i | ||||
\(156\) | 2.39029 | − | 6.88345i | 0.191377 | − | 0.551117i | ||||
\(157\) | −3.39357 | + | 2.31370i | −0.270836 | + | 0.184653i | −0.691121 | − | 0.722739i | \(-0.742883\pi\) |
0.420284 | + | 0.907392i | \(0.361930\pi\) | |||||||
\(158\) | 10.0501 | − | 1.51481i | 0.799546 | − | 0.120512i | ||||
\(159\) | −2.62920 | + | 5.00342i | −0.208509 | + | 0.396797i | ||||
\(160\) | 14.1000 | − | 2.12523i | 1.11470 | − | 0.168014i | ||||
\(161\) | −11.0765 | − | 7.36316i | −0.872952 | − | 0.580299i | ||||
\(162\) | 3.01178 | − | 7.89351i | 0.236628 | − | 0.620173i | ||||
\(163\) | −11.0323 | + | 7.52171i | −0.864119 | + | 0.589146i | −0.912222 | − | 0.409696i | \(-0.865635\pi\) |
0.0481033 | + | 0.998842i | \(0.484682\pi\) | |||||||
\(164\) | −1.09824 | − | 4.81172i | −0.0857584 | − | 0.375732i | ||||
\(165\) | −23.8038 | + | 8.39280i | −1.85312 | + | 0.653378i | ||||
\(166\) | −15.9340 | −1.23672 | ||||||||
\(167\) | 5.64392 | − | 5.23679i | 0.436740 | − | 0.405235i | −0.430923 | − | 0.902389i | \(-0.641812\pi\) |
0.867663 | + | 0.497154i | \(0.165621\pi\) | |||||||
\(168\) | −10.2916 | − | 8.60714i | −0.794013 | − | 0.664055i | ||||
\(169\) | −0.835495 | − | 0.775226i | −0.0642688 | − | 0.0596328i | ||||
\(170\) | 5.28739 | + | 4.90598i | 0.405524 | + | 0.376271i | ||||
\(171\) | −5.62273 | − | 3.21078i | −0.429981 | − | 0.245535i | ||||
\(172\) | −11.2490 | − | 1.69551i | −0.857727 | − | 0.129282i | ||||
\(173\) | −14.7497 | + | 4.54968i | −1.12140 | + | 0.345906i | −0.799379 | − | 0.600827i | \(-0.794838\pi\) |
−0.322020 | + | 0.946733i | \(0.604362\pi\) | |||||||
\(174\) | −1.08239 | − | 9.40567i | −0.0820555 | − | 0.713042i | ||||
\(175\) | −2.74690 | − | 4.63155i | −0.207646 | − | 0.350112i | ||||
\(176\) | −2.05697 | + | 1.90859i | −0.155050 | + | 0.143865i | ||||
\(177\) | 1.11951 | − | 5.99461i | 0.0841472 | − | 0.450583i | ||||
\(178\) | 7.44227 | 0.557822 | ||||||||
\(179\) | 3.72412 | − | 3.45548i | 0.278354 | − | 0.258275i | −0.528624 | − | 0.848856i | \(-0.677292\pi\) |
0.806978 | + | 0.590581i | \(0.201101\pi\) | |||||||
\(180\) | −2.58361 | + | 8.51930i | −0.192571 | + | 0.634991i | ||||
\(181\) | 6.37716 | − | 7.99671i | 0.474011 | − | 0.594391i | −0.486137 | − | 0.873882i | \(-0.661595\pi\) |
0.960148 | + | 0.279492i | \(0.0901659\pi\) | |||||||
\(182\) | −8.36627 | + | 4.15048i | −0.620149 | + | 0.307654i | ||||
\(183\) | 0.302181 | − | 8.62392i | 0.0223379 | − | 0.637498i | ||||
\(184\) | 3.27506 | + | 14.3490i | 0.241440 | + | 1.05782i | ||||
\(185\) | 27.2048 | − | 4.10047i | 2.00014 | − | 0.301472i | ||||
\(186\) | −2.85118 | − | 0.314397i | −0.209059 | − | 0.0230527i | ||||
\(187\) | 15.7375 | + | 2.37204i | 1.15084 | + | 0.173461i | ||||
\(188\) | 1.58230 | − | 0.761997i | 0.115401 | − | 0.0555743i | ||||
\(189\) | 12.4948 | − | 5.73407i | 0.908864 | − | 0.417092i | ||||
\(190\) | −4.84175 | − | 2.33166i | −0.351258 | − | 0.169157i | ||||
\(191\) | 5.61114 | + | 3.82561i | 0.406008 | + | 0.276811i | 0.749056 | − | 0.662506i | \(-0.230507\pi\) |
−0.343049 | + | 0.939318i | \(0.611460\pi\) | |||||||
\(192\) | 1.20156 | + | 10.4413i | 0.0867152 | + | 0.753533i | ||||
\(193\) | 0.0968417 | − | 1.29226i | 0.00697082 | − | 0.0930191i | −0.992633 | − | 0.121158i | \(-0.961339\pi\) |
0.999604 | + | 0.0281392i | \(0.00895818\pi\) | |||||||
\(194\) | 0.517373 | + | 0.648765i | 0.0371452 | + | 0.0465786i | ||||
\(195\) | 13.1208 | + | 11.2373i | 0.939601 | + | 0.804716i | ||||
\(196\) | −0.768148 | − | 7.79374i | −0.0548677 | − | 0.556696i | ||||
\(197\) | 19.1026 | 1.36100 | 0.680502 | − | 0.732746i | \(-0.261762\pi\) | ||||
0.680502 | + | 0.732746i | \(0.261762\pi\) | |||||||
\(198\) | −4.63065 | − | 14.7629i | −0.329086 | − | 1.04916i | ||||
\(199\) | 9.17070 | + | 6.25248i | 0.650093 | + | 0.443226i | 0.842944 | − | 0.538002i | \(-0.180821\pi\) |
−0.192850 | + | 0.981228i | \(0.561773\pi\) | |||||||
\(200\) | −1.32594 | + | 5.80930i | −0.0937578 | + | 0.410780i | ||||
\(201\) | 2.91582 | + | 10.7795i | 0.205666 | + | 0.760330i | ||||
\(202\) | −1.38681 | − | 18.5057i | −0.0975755 | − | 1.30205i | ||||
\(203\) | 9.46374 | − | 12.1568i | 0.664224 | − | 0.853238i | ||||
\(204\) | 3.95990 | − | 3.97875i | 0.277248 | − | 0.278568i | ||||
\(205\) | 11.5703 | + | 1.74394i | 0.808103 | + | 0.121802i | ||||
\(206\) | −0.822553 | − | 10.9762i | −0.0573099 | − | 0.764748i | ||||
\(207\) | −14.7191 | − | 3.28608i | −1.02305 | − | 0.228398i | ||||
\(208\) | 1.83522 | + | 0.566091i | 0.127250 | + | 0.0392513i | ||||
\(209\) | −11.7252 | + | 1.76730i | −0.811052 | + | 0.122246i | ||||
\(210\) | 10.0117 | − | 5.47326i | 0.690875 | − | 0.377691i | ||||
\(211\) | 10.9228 | + | 1.64635i | 0.751959 | + | 0.113340i | 0.513828 | − | 0.857893i | \(-0.328227\pi\) |
0.238131 | + | 0.971233i | \(0.423465\pi\) | |||||||
\(212\) | 3.28935 | + | 1.58407i | 0.225914 | + | 0.108794i | ||||
\(213\) | −8.58208 | − | 13.5866i | −0.588035 | − | 0.930938i | ||||
\(214\) | −5.50255 | −0.376147 | ||||||||
\(215\) | 13.4851 | − | 23.3569i | 0.919678 | − | 1.59293i | ||||
\(216\) | −14.3945 | − | 4.92205i | −0.979422 | − | 0.334903i | ||||
\(217\) | −2.95280 | − | 3.61494i | −0.200449 | − | 0.245398i | ||||
\(218\) | 7.08167 | + | 6.57083i | 0.479631 | + | 0.445033i | ||||
\(219\) | 0.993294 | − | 0.736733i | 0.0671206 | − | 0.0497838i | ||||
\(220\) | 5.95628 | + | 15.1763i | 0.401572 | + | 1.02319i | ||||
\(221\) | −3.97964 | − | 10.1400i | −0.267700 | − | 0.682088i | ||||
\(222\) | 1.92806 | + | 16.7543i | 0.129403 | + | 1.12448i | ||||
\(223\) | −7.55898 | − | 7.01371i | −0.506187 | − | 0.469673i | 0.385254 | − | 0.922811i | \(-0.374114\pi\) |
−0.891440 | + | 0.453138i | \(0.850304\pi\) | |||||||
\(224\) | −8.73720 | + | 11.2235i | −0.583779 | + | 0.749901i | ||||
\(225\) | −4.79177 | − | 3.78423i | −0.319452 | − | 0.252282i | ||||
\(226\) | 5.75601 | − | 9.96971i | 0.382884 | − | 0.663175i | ||||
\(227\) | 3.04163 | 0.201880 | 0.100940 | − | 0.994893i | \(-0.467815\pi\) | ||||
0.100940 | + | 0.994893i | \(0.467815\pi\) | |||||||
\(228\) | −1.94549 | + | 3.70230i | −0.128843 | + | 0.245191i | ||||
\(229\) | 13.9645 | + | 6.72497i | 0.922803 | + | 0.444398i | 0.834071 | − | 0.551657i | \(-0.186004\pi\) |
0.0887319 | + | 0.996056i | \(0.471719\pi\) | |||||||
\(230\) | −12.3773 | − | 1.86557i | −0.816134 | − | 0.123012i | ||||
\(231\) | 11.4493 | − | 22.4227i | 0.753312 | − | 1.47530i | ||||
\(232\) | −16.8575 | + | 2.54086i | −1.10675 | + | 0.166816i | ||||
\(233\) | 12.0981 | + | 3.73176i | 0.792570 | + | 0.244476i | 0.664499 | − | 0.747289i | \(-0.268645\pi\) |
0.128072 | + | 0.991765i | \(0.459121\pi\) | |||||||
\(234\) | −7.16587 | + | 7.79690i | −0.468447 | + | 0.509699i | ||||
\(235\) | 0.311149 | + | 4.15200i | 0.0202972 | + | 0.270847i | ||||
\(236\) | −3.89506 | − | 0.587085i | −0.253547 | − | 0.0382160i | ||||
\(237\) | 18.1254 | + | 4.81060i | 1.17737 | + | 0.312482i | ||||
\(238\) | −7.19424 | + | 0.0843291i | −0.466333 | + | 0.00546624i | ||||
\(239\) | −0.207056 | − | 2.76297i | −0.0133933 | − | 0.178722i | −0.999889 | − | 0.0149314i | \(-0.995247\pi\) |
0.986495 | − | 0.163790i | \(-0.0523720\pi\) | |||||||
\(240\) | −2.26790 | − | 0.601915i | −0.146392 | − | 0.0388534i | ||||
\(241\) | −5.04717 | + | 22.1131i | −0.325117 | + | 1.42443i | 0.503201 | + | 0.864170i | \(0.332156\pi\) |
−0.828317 | + | 0.560259i | \(0.810701\pi\) | |||||||
\(242\) | −14.8794 | − | 10.1446i | −0.956484 | − | 0.652120i | ||||
\(243\) | 10.8911 | − | 11.1528i | 0.698662 | − | 0.715451i | ||||
\(244\) | −5.57388 | −0.356831 | ||||||||
\(245\) | 17.8654 | + | 5.05530i | 1.14138 | + | 0.322971i | ||||
\(246\) | −1.31675 | + | 7.05079i | −0.0839528 | + | 0.449542i | ||||
\(247\) | 5.06013 | + | 6.34520i | 0.321968 | + | 0.403735i | ||||
\(248\) | −0.385984 | + | 5.15060i | −0.0245100 | + | 0.327064i | ||||
\(249\) | −26.9746 | − | 11.6928i | −1.70945 | − | 0.740998i | ||||
\(250\) | 6.09916 | + | 4.15834i | 0.385745 | + | 0.262996i | ||||
\(251\) | 2.30104 | + | 1.10812i | 0.145240 | + | 0.0699439i | 0.505092 | − | 0.863065i | \(-0.331459\pi\) |
−0.359852 | + | 0.933009i | \(0.617173\pi\) | |||||||
\(252\) | −3.98417 | − | 7.93615i | −0.250979 | − | 0.499930i | ||||
\(253\) | −24.8840 | + | 11.9835i | −1.56444 | + | 0.753396i | ||||
\(254\) | −16.9701 | − | 2.55783i | −1.06480 | − | 0.160493i | ||||
\(255\) | 5.35088 | + | 12.1853i | 0.335085 | + | 0.763074i | ||||
\(256\) | 16.6934 | − | 2.51613i | 1.04334 | − | 0.157258i | ||||
\(257\) | −5.16918 | − | 22.6477i | −0.322445 | − | 1.41272i | −0.833188 | − | 0.552990i | \(-0.813487\pi\) |
0.510743 | − | 0.859733i | \(-0.329370\pi\) | |||||||
\(258\) | 14.0195 | + | 8.76270i | 0.872818 | + | 0.545542i | ||||
\(259\) | −16.8578 | + | 21.6549i | −1.04749 | + | 1.34557i | ||||
\(260\) | 6.95726 | − | 8.72413i | 0.431471 | − | 0.541047i | ||||
\(261\) | 5.06973 | − | 16.7171i | 0.313808 | − | 1.03476i | ||||
\(262\) | −0.603389 | + | 0.559863i | −0.0372775 | + | 0.0345885i | ||||
\(263\) | 10.1329 | 0.624823 | 0.312412 | − | 0.949947i | \(-0.398863\pi\) | ||||
0.312412 | + | 0.949947i | \(0.398863\pi\) | |||||||
\(264\) | −26.2743 | + | 9.26386i | −1.61707 | + | 0.570151i | ||||
\(265\) | −6.34497 | + | 5.88727i | −0.389768 | + | 0.361652i | ||||
\(266\) | 5.10342 | − | 1.63995i | 0.312911 | − | 0.100552i | ||||
\(267\) | 12.5990 | + | 5.46131i | 0.771046 | + | 0.334227i | ||||
\(268\) | 6.89262 | − | 2.12609i | 0.421034 | − | 0.129872i | ||||
\(269\) | −28.0189 | − | 4.22317i | −1.70834 | − | 0.257491i | −0.779083 | − | 0.626921i | \(-0.784315\pi\) |
−0.929258 | + | 0.369430i | \(0.879553\pi\) | |||||||
\(270\) | 8.36915 | − | 9.86642i | 0.509330 | − | 0.600451i | ||||
\(271\) | −12.3183 | − | 11.4297i | −0.748281 | − | 0.694303i | 0.210770 | − | 0.977536i | \(-0.432403\pi\) |
−0.959051 | + | 0.283232i | \(0.908593\pi\) | |||||||
\(272\) | 1.08458 | + | 1.00635i | 0.0657626 | + | 0.0610188i | ||||
\(273\) | −17.2090 | + | 0.886968i | −1.04153 | + | 0.0536817i | ||||
\(274\) | −7.25920 | + | 6.73555i | −0.438544 | + | 0.406910i | ||||
\(275\) | −11.1818 | −0.674291 | ||||||||
\(276\) | −1.78834 | + | 9.57602i | −0.107645 | + | 0.576409i | ||||
\(277\) | 4.07098 | + | 17.8361i | 0.244602 | + | 1.07167i | 0.936773 | + | 0.349937i | \(0.113797\pi\) |
−0.692171 | + | 0.721733i | \(0.743346\pi\) | |||||||
\(278\) | 15.3045 | − | 10.4344i | 0.917903 | − | 0.625815i | ||||
\(279\) | −4.59604 | − | 2.62451i | −0.275158 | − | 0.157125i | ||||
\(280\) | −10.4806 | − | 17.6713i | −0.626334 | − | 1.05606i | ||||
\(281\) | 1.36560 | − | 0.205831i | 0.0814649 | − | 0.0122789i | −0.108183 | − | 0.994131i | \(-0.534503\pi\) |
0.189648 | + | 0.981852i | \(0.439265\pi\) | |||||||
\(282\) | −2.55029 | + | 0.101490i | −0.151868 | + | 0.00604362i | ||||
\(283\) | 12.3893 | − | 1.86739i | 0.736468 | − | 0.111005i | 0.229912 | − | 0.973212i | \(-0.426156\pi\) |
0.506556 | + | 0.862207i | \(0.330918\pi\) | |||||||
\(284\) | −8.57650 | + | 5.84736i | −0.508922 | + | 0.346977i | ||||
\(285\) | −6.48555 | − | 7.50026i | −0.384171 | − | 0.444277i | ||||
\(286\) | −1.44926 | + | 19.3390i | −0.0856964 | + | 1.14354i | ||||
\(287\) | −9.56579 | + | 6.68742i | −0.564651 | + | 0.394746i | ||||
\(288\) | −4.68052 | + | 15.4337i | −0.275803 | + | 0.909441i | ||||
\(289\) | −0.643299 | + | 8.58423i | −0.0378411 | + | 0.504955i | ||||
\(290\) | 3.22625 | − | 14.1351i | 0.189452 | − | 0.830042i | ||||
\(291\) | 0.399780 | + | 1.47795i | 0.0234355 | + | 0.0866391i | ||||
\(292\) | −0.498055 | − | 0.624542i | −0.0291465 | − | 0.0365485i | ||||
\(293\) | 2.75159 | + | 4.76589i | 0.160750 | + | 0.278426i | 0.935138 | − | 0.354284i | \(-0.115276\pi\) |
−0.774388 | + | 0.632711i | \(0.781942\pi\) | |||||||
\(294\) | −3.48050 | + | 10.8363i | −0.202987 | + | 0.631983i | ||||
\(295\) | 4.66934 | − | 8.08753i | 0.271859 | − | 0.470874i | ||||
\(296\) | 30.0283 | − | 4.52604i | 1.74536 | − | 0.263071i | ||||
\(297\) | 2.99417 | − | 28.3902i | 0.173739 | − | 1.64737i | ||||
\(298\) | −5.94065 | + | 1.83245i | −0.344133 | + | 0.106151i | ||||
\(299\) | 15.6188 | + | 10.6487i | 0.903259 | + | 0.615832i | ||||
\(300\) | −2.33446 | + | 3.17886i | −0.134780 | + | 0.183531i | ||||
\(301\) | 6.29338 | + | 26.1561i | 0.362745 | + | 1.50761i | ||||
\(302\) | 13.6521 | + | 9.30786i | 0.785592 | + | 0.535607i | ||||
\(303\) | 11.2322 | − | 32.3459i | 0.645271 | − | 1.85822i | ||||
\(304\) | −0.993173 | − | 0.478287i | −0.0569624 | − | 0.0274316i | ||||
\(305\) | 4.82781 | − | 12.3010i | 0.276439 | − | 0.704356i | ||||
\(306\) | −7.57988 | + | 3.01650i | −0.433313 | + | 0.172442i | ||||
\(307\) | 6.75337 | + | 8.46846i | 0.385435 | + | 0.483320i | 0.936264 | − | 0.351298i | \(-0.114260\pi\) |
−0.550829 | + | 0.834618i | \(0.685688\pi\) | |||||||
\(308\) | −14.7336 | − | 6.88377i | −0.839525 | − | 0.392239i | ||||
\(309\) | 6.66210 | − | 19.1852i | 0.378993 | − | 1.09141i | ||||
\(310\) | −3.95767 | − | 1.90591i | −0.224780 | − | 0.108249i | ||||
\(311\) | 8.23016 | + | 2.53867i | 0.466690 | + | 0.143955i | 0.519177 | − | 0.854667i | \(-0.326239\pi\) |
−0.0524871 | + | 0.998622i | \(0.516715\pi\) | |||||||
\(312\) | 14.4826 | + | 12.4035i | 0.819915 | + | 0.702212i | ||||
\(313\) | −6.34935 | − | 10.9974i | −0.358886 | − | 0.621609i | 0.628889 | − | 0.777495i | \(-0.283510\pi\) |
−0.987775 | + | 0.155886i | \(0.950177\pi\) | |||||||
\(314\) | −0.857952 | − | 3.75893i | −0.0484170 | − | 0.212129i | ||||
\(315\) | 20.9652 | − | 1.91882i | 1.18126 | − | 0.108113i | ||||
\(316\) | 2.69542 | − | 11.8094i | 0.151629 | − | 0.664332i | ||||
\(317\) | 13.8144 | − | 4.26116i | 0.775891 | − | 0.239331i | 0.118575 | − | 0.992945i | \(-0.462168\pi\) |
0.657317 | + | 0.753614i | \(0.271691\pi\) | |||||||
\(318\) | −3.47048 | − | 4.01346i | −0.194615 | − | 0.225063i | ||||
\(319\) | −11.6878 | − | 29.7800i | −0.654390 | − | 1.66736i | ||||
\(320\) | −3.58147 | + | 15.6914i | −0.200210 | + | 0.877177i | ||||
\(321\) | −9.31525 | − | 4.03790i | −0.519927 | − | 0.225374i | ||||
\(322\) | 10.2330 | − | 7.15385i | 0.570262 | − | 0.398669i | ||||
\(323\) | 1.39126 | + | 6.09549i | 0.0774115 | + | 0.339162i | ||||
\(324\) | −7.44587 | − | 6.77830i | −0.413659 | − | 0.376572i | ||||
\(325\) | 3.82663 | + | 6.62791i | 0.212263 | + | 0.367650i | ||||
\(326\) | −2.78916 | − | 12.2201i | −0.154477 | − | 0.676809i | ||||
\(327\) | 7.16670 | + | 16.3204i | 0.396320 | + | 0.902521i | ||||
\(328\) | 12.7711 | + | 1.92494i | 0.705167 | + | 0.106287i | ||||
\(329\) | −3.07740 | − | 2.78901i | −0.169663 | − | 0.153763i | ||||
\(330\) | 0.829710 | − | 23.6790i | 0.0456740 | − | 1.30349i | ||||
\(331\) | 4.35570 | − | 4.04150i | 0.239411 | − | 0.222141i | −0.551337 | − | 0.834283i | \(-0.685882\pi\) |
0.790748 | + | 0.612141i | \(0.209692\pi\) | |||||||
\(332\) | −6.93794 | + | 17.6776i | −0.380769 | + | 0.970183i | ||||
\(333\) | −9.03073 | + | 29.7782i | −0.494881 | + | 1.63184i | ||||
\(334\) | 2.64049 | + | 6.72787i | 0.144481 | + | 0.368133i | ||||
\(335\) | −1.27794 | + | 17.0529i | −0.0698212 | + | 0.931699i | ||||
\(336\) | 2.05367 | − | 1.12271i | 0.112037 | − | 0.0612490i | ||||
\(337\) | −0.567509 | − | 7.57289i | −0.0309142 | − | 0.412521i | −0.991096 | − | 0.133147i | \(-0.957492\pi\) |
0.960182 | − | 0.279375i | \(-0.0901272\pi\) | |||||||
\(338\) | 0.963961 | − | 0.464219i | 0.0524326 | − | 0.0252502i | ||||
\(339\) | 17.0603 | − | 12.6538i | 0.926591 | − | 0.687259i | ||||
\(340\) | 7.74502 | − | 3.72981i | 0.420033 | − | 0.202277i | ||||
\(341\) | −9.58426 | + | 1.44459i | −0.519017 | + | 0.0782292i | ||||
\(342\) | 4.73406 | − | 3.81220i | 0.255989 | − | 0.206140i | ||||
\(343\) | −16.3934 | + | 8.61730i | −0.885158 | + | 0.465290i | ||||
\(344\) | 14.8847 | − | 25.7811i | 0.802530 | − | 1.39002i | ||||
\(345\) | −19.5844 | − | 12.2410i | −1.05439 | − | 0.659031i | ||||
\(346\) | 1.08282 | − | 14.4492i | 0.0582126 | − | 0.776794i | ||||
\(347\) | −5.65325 | − | 5.24545i | −0.303483 | − | 0.281591i | 0.513700 | − | 0.857970i | \(-0.328275\pi\) |
−0.817182 | + | 0.576379i | \(0.804465\pi\) | |||||||
\(348\) | −10.9062 | − | 2.89456i | −0.584631 | − | 0.155165i | ||||
\(349\) | 8.94659 | − | 6.09968i | 0.478900 | − | 0.326509i | −0.299695 | − | 0.954035i | \(-0.596885\pi\) |
0.778595 | + | 0.627526i | \(0.215933\pi\) | |||||||
\(350\) | 4.98929 | − | 0.811933i | 0.266689 | − | 0.0433996i | ||||
\(351\) | −17.8526 | + | 7.94086i | −0.952902 | + | 0.423852i | ||||
\(352\) | 10.7905 | + | 27.4937i | 0.575136 | + | 1.46542i | ||||
\(353\) | −19.9797 | − | 9.62173i | −1.06341 | − | 0.512113i | −0.181435 | − | 0.983403i | \(-0.558074\pi\) |
−0.881978 | + | 0.471290i | \(0.843788\pi\) | |||||||
\(354\) | 4.85438 | + | 3.03416i | 0.258008 | + | 0.161264i | ||||
\(355\) | −5.47607 | − | 23.9922i | −0.290640 | − | 1.27338i | ||||
\(356\) | 3.24049 | − | 8.25662i | 0.171745 | − | 0.437600i | ||||
\(357\) | −12.2410 | − | 5.13654i | −0.647861 | − | 0.271854i | ||||
\(358\) | 1.74232 | + | 4.43936i | 0.0920846 | + | 0.234628i | ||||
\(359\) | 23.5832 | − | 16.0787i | 1.24467 | − | 0.848603i | 0.251799 | − | 0.967779i | \(-0.418978\pi\) |
0.992873 | + | 0.119176i | \(0.0380253\pi\) | |||||||
\(360\) | −18.2826 | − | 14.4384i | −0.963578 | − | 0.760970i | ||||
\(361\) | 7.17088 | + | 12.4203i | 0.377415 | + | 0.653701i | ||||
\(362\) | 4.80075 | + | 8.31514i | 0.252322 | + | 0.437034i | ||||
\(363\) | −17.7449 | − | 28.0926i | −0.931368 | − | 1.47448i | ||||
\(364\) | 0.961827 | + | 11.0889i | 0.0504134 | + | 0.581218i | ||||
\(365\) | 1.80970 | − | 0.558217i | 0.0947238 | − | 0.0292184i | ||||
\(366\) | 7.43228 | + | 3.22169i | 0.388492 | + | 0.168400i | ||||
\(367\) | −14.2923 | + | 17.9220i | −0.746054 | + | 0.935522i | −0.999493 | − | 0.0318290i | \(-0.989867\pi\) |
0.253439 | + | 0.967351i | \(0.418438\pi\) | |||||||
\(368\) | −2.53891 | − | 0.382679i | −0.132350 | − | 0.0199485i | ||||
\(369\) | −7.40315 | + | 10.9700i | −0.385393 | + | 0.571075i | ||||
\(370\) | −5.74692 | + | 25.1789i | −0.298768 | + | 1.30899i | ||||
\(371\) | 0.544248 | − | 8.61664i | 0.0282559 | − | 0.447354i | ||||
\(372\) | −1.59025 | + | 3.02627i | −0.0824507 | + | 0.156905i | ||||
\(373\) | −5.96644 | −0.308930 | −0.154465 | − | 0.987998i | \(-0.549365\pi\) | ||||
−0.154465 | + | 0.987998i | \(0.549365\pi\) | |||||||
\(374\) | −7.47006 | + | 12.9385i | −0.386267 | + | 0.669035i | ||||
\(375\) | 7.27376 | + | 11.5153i | 0.375615 | + | 0.594650i | ||||
\(376\) | 0.343443 | + | 4.58293i | 0.0177117 | + | 0.236346i | ||||
\(377\) | −13.6520 | + | 17.1190i | −0.703112 | + | 0.881675i | ||||
\(378\) | 0.725473 | + | 12.8850i | 0.0373143 | + | 0.662733i | ||||
\(379\) | 19.7555 | + | 24.7726i | 1.01477 | + | 1.27249i | 0.961761 | + | 0.273891i | \(0.0883108\pi\) |
0.0530124 | + | 0.998594i | \(0.483118\pi\) | |||||||
\(380\) | −4.69498 | + | 4.35631i | −0.240847 | + | 0.223474i | ||||
\(381\) | −26.8517 | − | 16.7832i | −1.37565 | − | 0.859830i | ||||
\(382\) | −5.26734 | + | 3.59121i | −0.269501 | + | 0.183742i | ||||
\(383\) | −9.72641 | + | 12.1965i | −0.496996 | + | 0.623214i | −0.965549 | − | 0.260222i | \(-0.916204\pi\) |
0.468553 | + | 0.883436i | \(0.344776\pi\) | |||||||
\(384\) | 8.46359 | + | 2.24629i | 0.431906 | + | 0.114630i | ||||
\(385\) | 27.9533 | − | 26.5534i | 1.42463 | − | 1.35329i | ||||
\(386\) | 1.09602 | + | 0.527814i | 0.0557858 | + | 0.0268650i | ||||
\(387\) | 17.3034 | + | 25.1222i | 0.879579 | + | 1.27703i | ||||
\(388\) | 0.945028 | − | 0.291502i | 0.0479765 | − | 0.0147988i | ||||
\(389\) | −21.6644 | + | 10.4330i | −1.09843 | + | 0.528976i | −0.893164 | − | 0.449731i | \(-0.851520\pi\) |
−0.205265 | + | 0.978706i | \(0.565806\pi\) | |||||||
\(390\) | −14.3194 | + | 7.61158i | −0.725092 | + | 0.385428i | ||||
\(391\) | 7.28143 | + | 12.6118i | 0.368238 | + | 0.637806i | ||||
\(392\) | 19.7196 | + | 5.57998i | 0.995991 | + | 0.281831i | ||||
\(393\) | −1.43232 | + | 0.505010i | −0.0722508 | + | 0.0254744i | ||||
\(394\) | −6.55136 | + | 16.6926i | −0.330053 | + | 0.840961i | ||||
\(395\) | 23.7277 | + | 16.1773i | 1.19387 | + | 0.813967i | ||||
\(396\) | −18.3946 | − | 1.29067i | −0.924363 | − | 0.0648588i | ||||
\(397\) | −1.89226 | + | 25.2505i | −0.0949699 | + | 1.26729i | 0.722523 | + | 0.691347i | \(0.242982\pi\) |
−0.817493 | + | 0.575939i | \(0.804637\pi\) | |||||||
\(398\) | −8.60881 | + | 5.86939i | −0.431520 | + | 0.294206i | ||||
\(399\) | 9.84300 | + | 0.968749i | 0.492766 | + | 0.0484981i | ||||
\(400\) | −0.858884 | − | 0.585577i | −0.0429442 | − | 0.0292789i | ||||
\(401\) | −1.35609 | + | 1.70048i | −0.0677198 | + | 0.0849179i | −0.814538 | − | 0.580111i | \(-0.803009\pi\) |
0.746818 | + | 0.665029i | \(0.231581\pi\) | |||||||
\(402\) | −10.4196 | − | 1.14896i | −0.519681 | − | 0.0573048i | ||||
\(403\) | 4.13617 | + | 5.18659i | 0.206037 | + | 0.258363i | ||||
\(404\) | −21.1345 | − | 6.51912i | −1.05148 | − | 0.324338i | ||||
\(405\) | 21.4083 | − | 10.5613i | 1.06379 | − | 0.524797i | ||||
\(406\) | 7.37741 | + | 12.4390i | 0.366135 | + | 0.617339i | ||||
\(407\) | 20.8195 | + | 53.0472i | 1.03198 | + | 2.62945i | ||||
\(408\) | 5.90623 | + | 13.4500i | 0.292402 | + | 0.665874i | ||||
\(409\) | 19.9014 | + | 6.13877i | 0.984061 | + | 0.303543i | 0.744708 | − | 0.667390i | \(-0.232589\pi\) |
0.239353 | + | 0.970933i | \(0.423065\pi\) | |||||||
\(410\) | −5.49202 | + | 9.51246i | −0.271232 | + | 0.469787i | ||||
\(411\) | −17.2318 | + | 6.07563i | −0.849981 | + | 0.299688i | ||||
\(412\) | −12.5354 | − | 3.86666i | −0.617575 | − | 0.190497i | ||||
\(413\) | 2.17914 | + | 9.05676i | 0.107228 | + | 0.445654i | ||||
\(414\) | 7.91951 | − | 11.7351i | 0.389223 | − | 0.576750i | ||||
\(415\) | −33.0035 | − | 30.6228i | −1.62008 | − | 1.50321i | ||||
\(416\) | 12.6039 | − | 15.8048i | 0.617957 | − | 0.774894i | ||||
\(417\) | 33.5660 | − | 6.43361i | 1.64373 | − | 0.315055i | ||||
\(418\) | 2.47692 | − | 10.8521i | 0.121150 | − | 0.530792i | ||||
\(419\) | 8.45391 | − | 2.60769i | 0.413000 | − | 0.127394i | −0.0812902 | − | 0.996690i | \(-0.525904\pi\) |
0.494291 | + | 0.869297i | \(0.335428\pi\) | |||||||
\(420\) | −1.71289 | − | 13.4904i | −0.0835805 | − | 0.658264i | ||||
\(421\) | −36.6794 | − | 11.3141i | −1.78765 | − | 0.551416i | −0.789585 | − | 0.613642i | \(-0.789704\pi\) |
−0.998062 | + | 0.0622258i | \(0.980180\pi\) | |||||||
\(422\) | −5.18470 | + | 8.98017i | −0.252387 | + | 0.437148i | ||||
\(423\) | −4.39186 | − | 1.69965i | −0.213540 | − | 0.0826400i | ||||
\(424\) | −7.00349 | + | 6.49829i | −0.340120 | + | 0.315585i | ||||
\(425\) | 0.440601 | + | 5.87941i | 0.0213723 | + | 0.285193i | ||||
\(426\) | 14.8158 | − | 2.83975i | 0.717826 | − | 0.137586i | ||||
\(427\) | 4.95917 | + | 12.2129i | 0.239991 | + | 0.591022i | ||||
\(428\) | −2.39590 | + | 6.10466i | −0.115810 | + | 0.295080i | ||||
\(429\) | −16.6448 | + | 31.6754i | −0.803621 | + | 1.52930i | ||||
\(430\) | 15.7854 | + | 19.7942i | 0.761239 | + | 0.954563i | ||||
\(431\) | −1.77820 | − | 23.7284i | −0.0856529 | − | 1.14296i | −0.860033 | − | 0.510238i | \(-0.829557\pi\) |
0.774380 | − | 0.632721i | \(-0.218062\pi\) | |||||||
\(432\) | 1.71674 | − | 2.02387i | 0.0825966 | − | 0.0973733i | ||||
\(433\) | 0.0477097 | − | 0.0229758i | 0.00229278 | − | 0.00110415i | −0.432737 | − | 0.901520i | \(-0.642452\pi\) |
0.435030 | + | 0.900416i | \(0.356738\pi\) | |||||||
\(434\) | 4.17156 | − | 1.34050i | 0.200241 | − | 0.0643461i | ||||
\(435\) | 15.8344 | − | 21.5618i | 0.759200 | − | 1.03381i | ||||
\(436\) | 10.3733 | − | 4.99552i | 0.496791 | − | 0.239242i | ||||
\(437\) | −7.95367 | − | 7.37993i | −0.380476 | − | 0.353030i | ||||
\(438\) | 0.303130 | + | 1.12065i | 0.0144841 | + | 0.0535465i | ||||
\(439\) | 13.9656 | − | 35.5837i | 0.666540 | − | 1.69832i | −0.0481187 | − | 0.998842i | \(-0.515323\pi\) |
0.714658 | − | 0.699474i | \(-0.246582\pi\) | |||||||
\(440\) | −42.6634 | −2.03390 | ||||||||
\(441\) | −13.8440 | + | 15.7906i | −0.659240 | + | 0.751933i | ||||
\(442\) | 10.2255 | 0.486379 | ||||||||
\(443\) | −10.0963 | + | 25.7250i | −0.479691 | + | 1.22223i | 0.462339 | + | 0.886703i | \(0.347010\pi\) |
−0.942030 | + | 0.335529i | \(0.891085\pi\) | |||||||
\(444\) | 19.4272 | + | 5.15609i | 0.921973 | + | 0.244697i | ||||
\(445\) | 15.4149 | + | 14.3029i | 0.730735 | + | 0.678023i | ||||
\(446\) | 8.72125 | − | 4.19994i | 0.412963 | − | 0.198873i | ||||
\(447\) | −11.4016 | − | 1.25724i | −0.539277 | − | 0.0594656i | ||||
\(448\) | −8.18969 | − | 13.8086i | −0.386926 | − | 0.652395i | ||||
\(449\) | 6.92699 | − | 3.33586i | 0.326905 | − | 0.157429i | −0.263231 | − | 0.964733i | \(-0.584788\pi\) |
0.590136 | + | 0.807304i | \(0.299074\pi\) | |||||||
\(450\) | 4.95017 | − | 2.88941i | 0.233353 | − | 0.136208i | ||||
\(451\) | 1.81119 | + | 24.1687i | 0.0852857 | + | 1.13806i | ||||
\(452\) | −8.55436 | − | 10.7268i | −0.402363 | − | 0.504548i | ||||
\(453\) | 16.2813 | + | 25.7755i | 0.764963 | + | 1.21104i | ||||
\(454\) | −1.04315 | + | 2.65789i | −0.0489573 | + | 0.124741i | ||||
\(455\) | −25.3053 | − | 7.48199i | −1.18633 | − | 0.350761i | ||||
\(456\) | −7.15867 | − | 8.27869i | −0.335236 | − | 0.387685i | ||||
\(457\) | 0.671924 | + | 8.96621i | 0.0314313 | + | 0.419422i | 0.990619 | + | 0.136652i | \(0.0436342\pi\) |
−0.959188 | + | 0.282770i | \(0.908747\pi\) | |||||||
\(458\) | −10.6658 | + | 9.89639i | −0.498379 | + | 0.462428i | ||||
\(459\) | −15.0455 | − | 0.455669i | −0.702265 | − | 0.0212688i | ||||
\(460\) | −7.45898 | + | 12.9193i | −0.347777 | + | 0.602367i | ||||
\(461\) | −24.4101 | − | 7.52952i | −1.13689 | − | 0.350685i | −0.331516 | − | 0.943450i | \(-0.607560\pi\) |
−0.805376 | + | 0.592765i | \(0.798036\pi\) | |||||||
\(462\) | 15.6672 | + | 17.6949i | 0.728903 | + | 0.823241i | ||||
\(463\) | −39.5955 | + | 12.2136i | −1.84016 | + | 0.567614i | −0.840491 | + | 0.541826i | \(0.817733\pi\) |
−0.999667 | + | 0.0257874i | \(0.991791\pi\) | |||||||
\(464\) | 0.661789 | − | 2.89949i | 0.0307228 | − | 0.134605i | ||||
\(465\) | −5.30132 | − | 6.13074i | −0.245843 | − | 0.284306i | ||||
\(466\) | −7.41007 | + | 9.29193i | −0.343265 | + | 0.430440i | ||||
\(467\) | 6.89754 | + | 6.39998i | 0.319180 | + | 0.296156i | 0.823448 | − | 0.567391i | \(-0.192047\pi\) |
−0.504268 | + | 0.863547i | \(0.668238\pi\) | |||||||
\(468\) | 5.52993 | + | 11.3449i | 0.255621 | + | 0.524417i | ||||
\(469\) | −10.7909 | − | 13.2107i | −0.498279 | − | 0.610015i | ||||
\(470\) | −3.73489 | − | 1.15206i | −0.172278 | − | 0.0531406i | ||||
\(471\) | 1.30597 | − | 6.99307i | 0.0601759 | − | 0.322224i | ||||
\(472\) | 5.15396 | − | 8.92692i | 0.237230 | − | 0.410895i | ||||
\(473\) | 53.3822 | + | 16.4662i | 2.45452 | + | 0.757118i | ||||
\(474\) | −10.4199 | + | 14.1889i | −0.478603 | + | 0.651717i | ||||
\(475\) | −1.60485 | − | 4.08909i | −0.0736356 | − | 0.187621i | ||||
\(476\) | −3.03893 | + | 8.01817i | −0.139289 | + | 0.367512i | ||||
\(477\) | −2.92999 | − | 9.34108i | −0.134155 | − | 0.427699i | ||||
\(478\) | 2.48540 | + | 0.766645i | 0.113680 | + | 0.0350655i | ||||
\(479\) | 6.49770 | + | 8.14786i | 0.296888 | + | 0.372285i | 0.907793 | − | 0.419418i | \(-0.137766\pi\) |
−0.610905 | + | 0.791704i | \(0.709194\pi\) | |||||||
\(480\) | −14.6188 | + | 19.9065i | −0.667252 | + | 0.908602i | ||||
\(481\) | 24.3183 | − | 30.4942i | 1.10882 | − | 1.39041i | ||||
\(482\) | −17.5923 | − | 11.9942i | −0.801308 | − | 0.546323i | ||||
\(483\) | 22.5730 | − | 4.60153i | 1.02711 | − | 0.209377i | ||||
\(484\) | −17.7334 | + | 12.0904i | −0.806064 | + | 0.549565i | ||||
\(485\) | −0.175214 | + | 2.33807i | −0.00795608 | + | 0.106167i | ||||
\(486\) | 6.01057 | + | 13.3420i | 0.272645 | + | 0.605204i | ||||
\(487\) | −10.6115 | − | 7.23477i | −0.480851 | − | 0.327839i | 0.298518 | − | 0.954404i | \(-0.403508\pi\) |
−0.779369 | + | 0.626565i | \(0.784460\pi\) | |||||||
\(488\) | 5.32887 | − | 13.5777i | 0.241227 | − | 0.614635i | ||||
\(489\) | 4.24564 | − | 22.7341i | 0.191994 | − | 1.02807i | ||||
\(490\) | −10.5446 | + | 13.8777i | −0.476356 | + | 0.626933i | ||||
\(491\) | −1.50514 | − | 2.60698i | −0.0679262 | − | 0.117652i | 0.830062 | − | 0.557671i | \(-0.188305\pi\) |
−0.897988 | + | 0.440019i | \(0.854972\pi\) | |||||||
\(492\) | 7.24898 | + | 4.53086i | 0.326809 | + | 0.204267i | ||||
\(493\) | −15.1978 | + | 7.31886i | −0.684473 | + | 0.329625i | ||||
\(494\) | −7.28009 | + | 2.24561i | −0.327547 | + | 0.101035i | ||||
\(495\) | 18.7808 | − | 39.4773i | 0.844136 | − | 1.77437i | ||||
\(496\) | −0.811824 | − | 0.390954i | −0.0364520 | − | 0.0175543i | ||||
\(497\) | 20.4427 | + | 13.5894i | 0.916982 | + | 0.609568i | ||||
\(498\) | 19.4687 | − | 19.5614i | 0.872414 | − | 0.876567i | ||||
\(499\) | 9.06661 | − | 11.3692i | 0.405877 | − | 0.508954i | −0.536319 | − | 0.844015i | \(-0.680186\pi\) |
0.942196 | + | 0.335061i | \(0.108757\pi\) | |||||||
\(500\) | 7.26903 | − | 4.95594i | 0.325081 | − | 0.221636i | ||||
\(501\) | −0.466985 | + | 13.3272i | −0.0208633 | + | 0.595417i | ||||
\(502\) | −1.75747 | + | 1.63070i | −0.0784399 | + | 0.0727816i | ||||
\(503\) | 0.486669 | + | 0.610264i | 0.0216995 | + | 0.0272103i | 0.792563 | − | 0.609790i | \(-0.208746\pi\) |
−0.770863 | + | 0.637001i | \(0.780175\pi\) | |||||||
\(504\) | 23.1412 | − | 2.11797i | 1.03079 | − | 0.0943420i | ||||
\(505\) | 32.6927 | − | 40.9953i | 1.45480 | − | 1.82427i | ||||
\(506\) | −1.93752 | − | 25.8544i | −0.0861333 | − | 1.14937i | ||||
\(507\) | 1.97254 | − | 0.0784979i | 0.0876036 | − | 0.00348621i | ||||
\(508\) | −10.2268 | + | 17.7133i | −0.453740 | + | 0.785902i | ||||
\(509\) | −18.7822 | −0.832506 | −0.416253 | − | 0.909249i | \(-0.636657\pi\) | ||||
−0.416253 | + | 0.909249i | \(0.636657\pi\) | |||||||
\(510\) | −12.4831 | + | 0.496770i | −0.552762 | + | 0.0219973i | ||||
\(511\) | −0.925299 | + | 1.64695i | −0.0409328 | + | 0.0728567i | ||||
\(512\) | −1.27646 | + | 5.59253i | −0.0564120 | + | 0.247157i | ||||
\(513\) | 10.8118 | − | 2.97970i | 0.477351 | − | 0.131557i | ||||
\(514\) | 21.5632 | + | 3.25013i | 0.951113 | + | 0.143357i | ||||
\(515\) | 19.3909 | − | 24.3154i | 0.854465 | − | 1.07146i | ||||
\(516\) | 15.8259 | − | 11.7382i | 0.696696 | − | 0.516744i | ||||
\(517\) | −8.24109 | + | 2.54204i | −0.362443 | + | 0.111799i | ||||
\(518\) | −13.1414 | − | 22.1577i | −0.577400 | − | 0.973553i | ||||
\(519\) | 12.4363 | − | 23.6664i | 0.545891 | − | 1.03884i | ||||
\(520\) | 14.6002 | + | 25.2882i | 0.640260 | + | 1.10896i | ||||
\(521\) | 5.88222 | + | 10.1883i | 0.257705 | + | 0.446358i | 0.965627 | − | 0.259933i | \(-0.0837005\pi\) |
−0.707922 | + | 0.706291i | \(0.750367\pi\) | |||||||
\(522\) | 12.8694 | + | 10.1634i | 0.563276 | + | 0.444838i | ||||
\(523\) | 33.7546 | − | 23.0135i | 1.47599 | − | 1.00631i | 0.484687 | − | 0.874688i | \(-0.338934\pi\) |
0.991300 | − | 0.131623i | \(-0.0420188\pi\) | |||||||
\(524\) | 0.358400 | + | 0.913188i | 0.0156568 | + | 0.0398928i | ||||
\(525\) | 9.04217 | + | 2.28674i | 0.394633 | + | 0.0998016i | ||||
\(526\) | −3.47516 | + | 8.85455i | −0.151524 | + | 0.386077i | ||||
\(527\) | 1.13722 | + | 4.98248i | 0.0495380 | + | 0.217040i | ||||
\(528\) | 0.170196 | − | 4.85721i | 0.00740682 | − | 0.211383i | ||||
\(529\) | −2.04720 | − | 0.985878i | −0.0890086 | − | 0.0428643i | ||||
\(530\) | −2.96848 | − | 7.56355i | −0.128942 | − | 0.328540i | ||||
\(531\) | 5.99143 | + | 8.69878i | 0.260006 | + | 0.377495i | ||||
\(532\) | 0.402718 | − | 6.37592i | 0.0174601 | − | 0.276431i | ||||
\(533\) | 13.7059 | − | 9.34452i | 0.593668 | − | 0.404756i | ||||
\(534\) | −9.09321 | + | 9.13650i | −0.393502 | + | 0.395375i | ||||
\(535\) | −11.3972 | − | 10.5751i | −0.492745 | − | 0.457200i | ||||
\(536\) | −1.41057 | + | 18.8228i | −0.0609274 | + | 0.813020i | ||||
\(537\) | −0.308138 | + | 8.79394i | −0.0132972 | + | 0.379486i | ||||
\(538\) | 13.2996 | − | 23.0356i | 0.573388 | − | 0.993136i | ||||
\(539\) | −1.97423 | + | 38.4073i | −0.0850363 | + | 1.65432i | ||||
\(540\) | −7.30196 | − | 13.5809i | −0.314227 | − | 0.584430i | ||||
\(541\) | −25.3480 | + | 3.82059i | −1.08979 | + | 0.164260i | −0.669269 | − | 0.743020i | \(-0.733393\pi\) |
−0.420526 | + | 0.907280i | \(0.638154\pi\) | |||||||
\(542\) | 14.2123 | − | 6.84429i | 0.610471 | − | 0.293988i | ||||
\(543\) | 2.02533 | + | 17.5996i | 0.0869150 | + | 0.755270i | ||||
\(544\) | 14.0310 | − | 6.75699i | 0.601575 | − | 0.289703i | ||||
\(545\) | 2.03984 | + | 27.2198i | 0.0873772 | + | 1.16597i | ||||
\(546\) | 5.12686 | − | 15.3420i | 0.219409 | − | 0.656579i | ||||
\(547\) | 2.14748 | − | 28.6561i | 0.0918196 | − | 1.22525i | −0.740924 | − | 0.671589i | \(-0.765612\pi\) |
0.832744 | − | 0.553658i | \(-0.186769\pi\) | |||||||
\(548\) | 4.31180 | + | 10.9863i | 0.184191 | + | 0.469311i | ||||
\(549\) | 10.2179 | + | 10.9080i | 0.436091 | + | 0.465541i | ||||
\(550\) | 3.83489 | − | 9.77114i | 0.163520 | − | 0.416643i | ||||
\(551\) | 9.21279 | − | 8.54822i | 0.392478 | − | 0.364166i | ||||
\(552\) | −21.6171 | − | 13.5114i | −0.920083 | − | 0.575084i | ||||
\(553\) | −28.2737 | + | 4.60112i | −1.20232 | + | 0.195659i | ||||
\(554\) | −16.9821 | − | 2.55964i | −0.721500 | − | 0.108749i | ||||
\(555\) | −28.2058 | + | 38.4081i | −1.19727 | + | 1.63033i | ||||
\(556\) | −4.91237 | − | 21.5225i | −0.208331 | − | 0.912757i | ||||
\(557\) | −11.0704 | − | 19.1746i | −0.469070 | − | 0.812452i | 0.530305 | − | 0.847807i | \(-0.322077\pi\) |
−0.999375 | + | 0.0353544i | \(0.988744\pi\) | |||||||
\(558\) | 3.86964 | − | 3.11611i | 0.163815 | − | 0.131915i | ||||
\(559\) | −8.50817 | − | 37.2767i | −0.359857 | − | 1.57664i | ||||
\(560\) | 3.53768 | − | 0.575704i | 0.149494 | − | 0.0243279i | ||||
\(561\) | −22.1406 | + | 16.4219i | −0.934778 | + | 0.693332i | ||||
\(562\) | −0.288479 | + | 1.26391i | −0.0121687 | + | 0.0533147i | ||||
\(563\) | −9.30794 | − | 23.7162i | −0.392283 | − | 0.999520i | −0.981486 | − | 0.191535i | \(-0.938653\pi\) |
0.589203 | − | 0.807985i | \(-0.299442\pi\) | |||||||
\(564\) | −0.997845 | + | 2.87355i | −0.0420169 | + | 0.120998i | ||||
\(565\) | 31.0825 | − | 9.58768i | 1.30765 | − | 0.403357i | ||||
\(566\) | −2.61720 | + | 11.4667i | −0.110009 | + | 0.481981i | ||||
\(567\) | −8.22716 | + | 22.3453i | −0.345508 | + | 0.938416i | ||||
\(568\) | −6.04442 | − | 26.4823i | −0.253618 | − | 1.11117i | ||||
\(569\) | −5.57058 | − | 9.64852i | −0.233531 | − | 0.404487i | 0.725314 | − | 0.688418i | \(-0.241695\pi\) |
−0.958845 | + | 0.283931i | \(0.908361\pi\) | |||||||
\(570\) | 8.77828 | − | 3.09507i | 0.367682 | − | 0.129638i | ||||
\(571\) | 25.2676 | + | 7.79403i | 1.05742 | + | 0.326170i | 0.774237 | − | 0.632896i | \(-0.218134\pi\) |
0.283181 | + | 0.959066i | \(0.408610\pi\) | |||||||
\(572\) | 20.8241 | + | 10.0284i | 0.870699 | + | 0.419307i | ||||
\(573\) | −11.5524 | + | 2.21425i | −0.482608 | + | 0.0925017i | ||||
\(574\) | −2.56308 | − | 10.6525i | −0.106981 | − | 0.444625i | ||||
\(575\) | −6.37935 | − | 7.99945i | −0.266037 | − | 0.333600i | ||||
\(576\) | −14.2863 | − | 11.2824i | −0.595263 | − | 0.470099i | ||||
\(577\) | 2.90302 | − | 7.39677i | 0.120854 | − | 0.307931i | −0.857625 | − | 0.514275i | \(-0.828061\pi\) |
0.978480 | + | 0.206343i | \(0.0661564\pi\) | |||||||
\(578\) | −7.28061 | − | 3.50616i | −0.302834 | − | 0.145837i | ||||
\(579\) | 1.46812 | + | 1.69782i | 0.0610130 | + | 0.0705589i | ||||
\(580\) | −14.2771 | − | 9.73393i | −0.592822 | − | 0.404179i | ||||
\(581\) | 44.9059 | − | 0.526376i | 1.86301 | − | 0.0218378i | ||||
\(582\) | −1.42860 | − | 0.157530i | −0.0592173 | − | 0.00652984i | ||||
\(583\) | −14.8132 | − | 10.0994i | −0.613498 | − | 0.418276i | ||||
\(584\) | 1.99752 | − | 0.616153i | 0.0826580 | − | 0.0254966i | ||||
\(585\) | −29.8268 | + | 2.37770i | −1.23319 | + | 0.0983059i | ||||
\(586\) | −5.10830 | + | 0.769952i | −0.211022 | + | 0.0318064i | ||||
\(587\) | −13.4088 | + | 23.2248i | −0.553442 | + | 0.958590i | 0.444581 | + | 0.895739i | \(0.353353\pi\) |
−0.998023 | + | 0.0628512i | \(0.979981\pi\) | |||||||
\(588\) | 10.5065 | + | 8.57964i | 0.433282 | + | 0.353818i | ||||
\(589\) | −1.90383 | − | 3.29754i | −0.0784461 | − | 0.135873i | ||||
\(590\) | 5.46582 | + | 6.85392i | 0.225024 | + | 0.282172i | ||||
\(591\) | −23.3402 | + | 23.4513i | −0.960088 | + | 0.964658i | ||||
\(592\) | −1.17885 | + | 5.16487i | −0.0484503 | + | 0.212275i | ||||
\(593\) | 2.96818 | − | 39.6077i | 0.121889 | − | 1.62649i | −0.516158 | − | 0.856494i | \(-0.672638\pi\) |
0.638046 | − | 0.769998i | \(-0.279743\pi\) | |||||||
\(594\) | 23.7816 | + | 12.3530i | 0.975770 | + | 0.506851i | ||||
\(595\) | −15.0632 | − | 13.6516i | −0.617531 | − | 0.559660i | ||||
\(596\) | −0.553697 | + | 7.38858i | −0.0226803 | + | 0.302648i | ||||
\(597\) | −18.8809 | + | 3.61892i | −0.772744 | + | 0.148112i | ||||
\(598\) | −14.6618 | + | 9.99628i | −0.599568 | + | 0.408778i | ||||
\(599\) | −17.4003 | + | 2.62268i | −0.710959 | + | 0.107160i | −0.494558 | − | 0.869145i | \(-0.664670\pi\) |
−0.216401 | + | 0.976305i | \(0.569432\pi\) | |||||||
\(600\) | −5.51171 | − | 8.72578i | −0.225015 | − | 0.356229i | ||||
\(601\) | 29.3613 | − | 4.42551i | 1.19767 | − | 0.180520i | 0.480234 | − | 0.877141i | \(-0.340552\pi\) |
0.717440 | + | 0.696620i | \(0.245314\pi\) | |||||||
\(602\) | −25.0145 | − | 3.47099i | −1.01952 | − | 0.141467i | ||||
\(603\) | −16.7961 | − | 9.59119i | −0.683991 | − | 0.390584i | ||||
\(604\) | 16.2707 | − | 11.0932i | 0.662046 | − | 0.451376i | ||||
\(605\) | −11.3227 | − | 49.6081i | −0.460334 | − | 2.01686i | ||||
\(606\) | 24.4129 | + | 20.9083i | 0.991707 | + | 0.849343i | ||||
\(607\) | −4.98826 | −0.202467 | −0.101234 | − | 0.994863i | \(-0.532279\pi\) | ||||
−0.101234 | + | 0.994863i | \(0.532279\pi\) | |||||||
\(608\) | −8.50552 | + | 7.89197i | −0.344944 | + | 0.320061i | ||||
\(609\) | 3.36114 | + | 26.4717i | 0.136200 | + | 1.07269i | ||||
\(610\) | 9.09341 | + | 8.43745i | 0.368181 | + | 0.341622i | ||||
\(611\) | 4.32701 | + | 4.01488i | 0.175052 | + | 0.162425i | ||||
\(612\) | 0.0461714 | + | 9.72273i | 0.00186637 | + | 0.393018i | ||||
\(613\) | −14.4855 | − | 2.18333i | −0.585062 | − | 0.0881839i | −0.150160 | − | 0.988662i | \(-0.547979\pi\) |
−0.434902 | + | 0.900478i | \(0.643217\pi\) | |||||||
\(614\) | −9.71618 | + | 2.99704i | −0.392113 | + | 0.120951i | ||||
\(615\) | −16.2779 | + | 12.0734i | −0.656388 | + | 0.486848i | ||||
\(616\) | 30.8546 | − | 29.3093i | 1.24317 | − | 1.18090i | ||||
\(617\) | 19.9717 | − | 18.5311i | 0.804032 | − | 0.746032i | −0.166749 | − | 0.985999i | \(-0.553327\pi\) |
0.970781 | + | 0.239967i | \(0.0771366\pi\) | |||||||
\(618\) | 14.4799 | + | 12.4013i | 0.582469 | + | 0.498853i | ||||
\(619\) | −32.0294 | −1.28737 | −0.643685 | − | 0.765290i | \(-0.722595\pi\) | ||||
−0.643685 | + | 0.765290i | \(0.722595\pi\) | |||||||
\(620\) | −3.83770 | + | 3.56086i | −0.154126 | + | 0.143008i | ||||
\(621\) | 22.0184 | − | 14.0548i | 0.883569 | − | 0.564002i | ||||
\(622\) | −5.04098 | + | 6.32118i | −0.202125 | + | 0.253456i | ||||
\(623\) | −20.9741 | + | 0.245854i | −0.840311 | + | 0.00984991i | ||||
\(624\) | −2.93730 | + | 1.56134i | −0.117586 | + | 0.0625036i | ||||
\(625\) | 6.90572 | + | 30.2560i | 0.276229 | + | 1.21024i | ||||
\(626\) | 11.7875 | − | 1.77668i | 0.471123 | − | 0.0710104i | ||||
\(627\) | 12.1567 | − | 16.5538i | 0.485491 | − | 0.661096i | ||||
\(628\) | −4.54381 | − | 0.684870i | −0.181318 | − | 0.0273293i | ||||
\(629\) | 27.0718 | − | 13.0371i | 1.07942 | − | 0.519823i | ||||
\(630\) | −5.51342 | + | 18.9783i | −0.219660 | + | 0.756114i | ||||
\(631\) | −18.6007 | − | 8.95761i | −0.740481 | − | 0.356597i | 0.0253160 | − | 0.999679i | \(-0.491941\pi\) |
−0.765797 | + | 0.643083i | \(0.777655\pi\) | |||||||
\(632\) | 26.1903 | + | 17.8563i | 1.04180 | + | 0.710284i | ||||
\(633\) | −15.3670 | + | 11.3978i | −0.610785 | + | 0.453024i | ||||
\(634\) | −1.01415 | + | 13.5329i | −0.0402771 | + | 0.537461i | ||||
\(635\) | −30.2338 | − | 37.9120i | −1.19979 | − | 1.50449i | ||||
\(636\) | −5.96372 | + | 2.10270i | −0.236477 | + | 0.0833777i | ||||
\(637\) | 23.4411 | − | 11.9734i | 0.928770 | − | 0.474405i | ||||
\(638\) | 30.0313 | 1.18895 | ||||||||
\(639\) | 27.1654 | + | 6.06476i | 1.07465 | + | 0.239918i | ||||
\(640\) | 11.0795 | + | 7.55390i | 0.437957 | + | 0.298594i | ||||
\(641\) | −2.10585 | + | 9.22633i | −0.0831761 | + | 0.364418i | −0.999338 | − | 0.0363910i | \(-0.988414\pi\) |
0.916162 | + | 0.400809i | \(0.131271\pi\) | |||||||
\(642\) | 6.72320 | − | 6.75520i | 0.265344 | − | 0.266607i | ||||
\(643\) | −1.92469 | − | 25.6832i | −0.0759024 | − | 1.01285i | −0.896992 | − | 0.442047i | \(-0.854252\pi\) |
0.821089 | − | 0.570799i | \(-0.193367\pi\) | |||||||
\(644\) | −3.48104 | − | 14.4676i | −0.137172 | − | 0.570104i | ||||
\(645\) | 12.1975 | + | 45.0933i | 0.480278 | + | 1.77555i | ||||
\(646\) | −5.80362 | − | 0.874754i | −0.228340 | − | 0.0344168i | ||||
\(647\) | −0.987092 | − | 13.1718i | −0.0388066 | − | 0.517838i | −0.982407 | − | 0.186752i | \(-0.940204\pi\) |
0.943601 | − | 0.331086i | \(-0.107415\pi\) | |||||||
\(648\) | 23.6302 | − | 11.6575i | 0.928283 | − | 0.457949i | ||||
\(649\) | 18.4840 | + | 5.70157i | 0.725562 | + | 0.223806i | ||||
\(650\) | −7.10409 | + | 1.07077i | −0.278645 | + | 0.0419990i | ||||
\(651\) | 8.04571 | + | 0.791860i | 0.315336 | + | 0.0310354i | ||||
\(652\) | −14.7717 | − | 2.22648i | −0.578505 | − | 0.0871956i | ||||
\(653\) | −35.6045 | − | 17.1462i | −1.39331 | − | 0.670984i | −0.421519 | − | 0.906820i | \(-0.638503\pi\) |
−0.971793 | + | 0.235836i | \(0.924217\pi\) | |||||||
\(654\) | −16.7193 | + | 0.665349i | −0.653776 | + | 0.0260172i | ||||
\(655\) | −2.32575 | −0.0908746 | ||||||||
\(656\) | −1.12656 | + | 1.95126i | −0.0439848 | + | 0.0761839i | ||||
\(657\) | −0.309189 | + | 2.11958i | −0.0120626 | + | 0.0826928i | ||||
\(658\) | 3.49256 | − | 1.73265i | 0.136154 | − | 0.0675456i | ||||
\(659\) | −25.2361 | − | 23.4157i | −0.983058 | − | 0.912145i | 0.0130826 | − | 0.999914i | \(-0.495836\pi\) |
−0.996141 | + | 0.0877697i | \(0.972026\pi\) | |||||||
\(660\) | −25.9088 | − | 11.2307i | −1.00850 | − | 0.437156i | ||||
\(661\) | −0.719771 | − | 1.83395i | −0.0279958 | − | 0.0713323i | 0.916192 | − | 0.400739i | \(-0.131247\pi\) |
−0.944188 | + | 0.329407i | \(0.893151\pi\) | |||||||
\(662\) | 2.03781 | + | 5.19224i | 0.0792015 | + | 0.201802i | ||||
\(663\) | 17.3108 | + | 7.50374i | 0.672295 | + | 0.291421i | ||||
\(664\) | −36.4289 | − | 33.8010i | −1.41371 | − | 1.31174i | ||||
\(665\) | 13.7223 | + | 6.41125i | 0.532126 | + | 0.248618i | ||||
\(666\) | −22.9242 | − | 18.1040i | −0.888296 | − | 0.701517i | ||||
\(667\) | 14.6365 | − | 25.3511i | 0.566727 | − | 0.981600i | ||||
\(668\) | 8.61377 | 0.333277 | ||||||||
\(669\) | 17.8462 | − | 0.710194i | 0.689974 | − | 0.0274577i | ||||
\(670\) | −14.4632 | − | 6.96511i | −0.558762 | − | 0.269086i | ||||
\(671\) | 27.0658 | + | 4.07951i | 1.04486 | + | 0.157488i | ||||
\(672\) | −3.10311 | − | 24.4395i | −0.119705 | − | 0.942772i | ||||
\(673\) | 5.65736 | − | 0.852709i | 0.218075 | − | 0.0328695i | −0.0390958 | − | 0.999235i | \(-0.512448\pi\) |
0.257171 | + | 0.966366i | \(0.417210\pi\) | |||||||
\(674\) | 6.81212 | + | 2.10126i | 0.262393 | + | 0.0809375i | ||||
\(675\) | 10.5005 | − | 1.25892i | 0.404163 | − | 0.0484560i | ||||
\(676\) | −0.0952910 | − | 1.27157i | −0.00366504 | − | 0.0489065i | ||||
\(677\) | −12.2158 | − | 1.84123i | −0.469490 | − | 0.0707643i | −0.0899636 | − | 0.995945i | \(-0.528675\pi\) |
−0.379527 | + | 0.925181i | \(0.623913\pi\) | |||||||
\(678\) | 5.20642 | + | 19.2477i | 0.199951 | + | 0.739203i | ||||
\(679\) | −1.47951 | − | 1.81129i | −0.0567786 | − | 0.0695108i | ||||
\(680\) | 1.68108 | + | 22.4324i | 0.0644663 | + | 0.860244i | ||||
\(681\) | −3.71636 | + | 3.73405i | −0.142411 | + | 0.143089i | ||||
\(682\) | 2.02464 | − | 8.87053i | 0.0775275 | − | 0.339670i | ||||
\(683\) | −19.3361 | − | 13.1831i | −0.739874 | − | 0.504438i | 0.133764 | − | 0.991013i | \(-0.457293\pi\) |
−0.873639 | + | 0.486576i | \(0.838246\pi\) | |||||||
\(684\) | −2.16806 | − | 6.91197i | −0.0828978 | − | 0.264286i | ||||
\(685\) | −27.9804 | −1.06908 | ||||||||
\(686\) | −1.90792 | − | 17.2805i | −0.0728448 | − | 0.659773i | ||||
\(687\) | −25.3182 | + | 8.92677i | −0.965951 | + | 0.340578i | ||||
\(688\) | 3.23800 | + | 4.06033i | 0.123448 | + | 0.154799i | ||||
\(689\) | −0.917002 | + | 12.2365i | −0.0349350 | + | 0.466175i | ||||
\(690\) | 17.4132 | − | 12.9155i | 0.662911 | − | 0.491686i | ||||
\(691\) | −0.990196 | − | 0.675104i | −0.0376688 | − | 0.0256822i | 0.544339 | − | 0.838865i | \(-0.316780\pi\) |
−0.582008 | + | 0.813183i | \(0.697733\pi\) | |||||||
\(692\) | −15.5588 | − | 7.49272i | −0.591457 | − | 0.284831i | ||||
\(693\) | 13.5380 | + | 41.4526i | 0.514266 | + | 1.57465i | ||||
\(694\) | 6.52250 | − | 3.14107i | 0.247591 | − | 0.119233i | ||||
\(695\) | 51.7530 | + | 7.80051i | 1.96310 | + | 0.295890i | ||||
\(696\) | 17.4778 | − | 23.7996i | 0.662493 | − | 0.902122i | ||||
\(697\) | 12.6365 | − | 1.90465i | 0.478642 | − | 0.0721437i | ||||
\(698\) | 2.26185 | + | 9.90981i | 0.0856123 | + | 0.375092i | ||||
\(699\) | −19.3631 | + | 10.2926i | −0.732380 | + | 0.389302i | ||||
\(700\) | 1.27164 | − | 5.88877i | 0.0480636 | − | 0.222574i | ||||
\(701\) | −11.5612 | + | 14.4973i | −0.436661 | + | 0.547555i | −0.950660 | − | 0.310236i | \(-0.899592\pi\) |
0.513999 | + | 0.857791i | \(0.328163\pi\) | |||||||
\(702\) | −0.816366 | − | 18.3237i | −0.0308118 | − | 0.691583i | ||||
\(703\) | −16.4108 | + | 15.2270i | −0.618944 | + | 0.574296i | ||||
\(704\) | −33.3378 | −1.25647 | ||||||||
\(705\) | −5.47737 | − | 4.69107i | −0.206290 | − | 0.176676i | ||||
\(706\) | 15.2600 | − | 14.1592i | 0.574318 | − | 0.532889i | ||||
\(707\) | 4.51969 | + | 52.1077i | 0.169981 | + | 1.95971i | ||||
\(708\) | 5.47985 | − | 4.06444i | 0.205945 | − | 0.152751i | ||||
\(709\) | −15.6909 | + | 4.84001i | −0.589285 | + | 0.181770i | −0.575036 | − | 0.818128i | \(-0.695012\pi\) |
−0.0142489 | + | 0.999898i | \(0.504536\pi\) | |||||||
\(710\) | 22.8434 | + | 3.44309i | 0.857298 | + | 0.129217i | ||||
\(711\) | −28.0520 | + | 16.3739i | −1.05203 | + | 0.614071i | ||||
\(712\) | 17.0148 | + | 15.7874i | 0.637655 | + | 0.591657i | ||||
\(713\) | −6.50136 | − | 6.03238i | −0.243478 | − | 0.225915i | ||||
\(714\) | 8.68663 | − | 8.93504i | 0.325089 | − | 0.334385i | ||||
\(715\) | −40.1684 | + | 37.2709i | −1.50221 | + | 1.39385i | ||||
\(716\) | 5.68377 | 0.212412 | ||||||||
\(717\) | 3.64495 | + | 3.12170i | 0.136123 | + | 0.116582i | ||||
\(718\) | 5.96222 | + | 26.1222i | 0.222508 | + | 0.974872i | ||||
\(719\) | −14.3763 | + | 9.80161i | −0.536146 | + | 0.365538i | −0.800919 | − | 0.598772i | \(-0.795655\pi\) |
0.264773 | + | 0.964311i | \(0.414703\pi\) | |||||||
\(720\) | 3.50994 | − | 2.04875i | 0.130808 | − | 0.0763524i | ||||
\(721\) | 2.68075 | + | 30.9064i | 0.0998363 | + | 1.15102i | ||||
\(722\) | −13.3127 | + | 2.00656i | −0.495446 | + | 0.0746765i | ||||
\(723\) | −20.9803 | − | 33.2147i | −0.780266 | − | 1.23527i | ||||
\(724\) | 11.3153 | − | 1.70551i | 0.420531 | − | 0.0633849i | ||||
\(725\) | 9.79210 | − | 6.67614i | 0.363669 | − | 0.247946i | ||||
\(726\) | 30.6342 | − | 5.87167i | 1.13694 | − | 0.217918i | ||||
\(727\) | 1.16817 | − | 15.5882i | 0.0433251 | − | 0.578134i | −0.932725 | − | 0.360588i | \(-0.882576\pi\) |
0.976050 | − | 0.217545i | \(-0.0698050\pi\) | |||||||
\(728\) | −27.9317 | − | 8.25852i | −1.03522 | − | 0.306081i | ||||
\(729\) | 0.384638 | + | 26.9973i | 0.0142458 | + | 0.999899i | ||||
\(730\) | −0.132855 | + | 1.77283i | −0.00491719 | + | 0.0656153i | ||||
\(731\) | 6.55451 | − | 28.7172i | 0.242427 | − | 1.06214i | ||||
\(732\) | 6.81035 | − | 6.84277i | 0.251718 | − | 0.252916i | ||||
\(733\) | 30.6426 | + | 38.4246i | 1.13181 | + | 1.41925i | 0.894075 | + | 0.447917i | \(0.147834\pi\) |
0.237736 | + | 0.971330i | \(0.423595\pi\) | |||||||
\(734\) | −10.7593 | − | 18.6357i | −0.397134 | − | 0.687856i | ||||
\(735\) | −28.0347 | + | 15.7557i | −1.03408 | + | 0.581159i | ||||
\(736\) | −13.5128 | + | 23.4049i | −0.498090 | + | 0.862717i | ||||
\(737\) | −35.0254 | + | 5.27924i | −1.29018 | + | 0.194463i | ||||
\(738\) | −7.04705 | − | 10.2314i | −0.259406 | − | 0.376623i | ||||
\(739\) | 16.7758 | − | 5.17464i | 0.617106 | − | 0.190352i | 0.0295869 | − | 0.999562i | \(-0.490581\pi\) |
0.587519 | + | 0.809210i | \(0.300105\pi\) | |||||||
\(740\) | 25.4318 | + | 17.3391i | 0.934890 | + | 0.637397i | ||||
\(741\) | −13.9723 | − | 1.54071i | −0.513286 | − | 0.0565995i | ||||
\(742\) | 7.34291 | + | 3.43072i | 0.269567 | + | 0.125946i | ||||
\(743\) | −40.0030 | − | 27.2736i | −1.46757 | − | 1.00057i | −0.992713 | − | 0.120506i | \(-0.961548\pi\) |
−0.474854 | − | 0.880064i | \(-0.657499\pi\) | |||||||
\(744\) | −5.85153 | − | 6.76703i | −0.214527 | − | 0.248092i | ||||
\(745\) | −15.8263 | − | 7.62156i | −0.579832 | − | 0.279232i | ||||
\(746\) | 2.04623 | − | 5.21371i | 0.0749178 | − | 0.190887i | ||||
\(747\) | 47.3131 | − | 18.8288i | 1.73110 | − | 0.688910i | ||||
\(748\) | 11.1017 | + | 13.9211i | 0.405919 | + | 0.509006i | ||||
\(749\) | 15.5075 | − | 0.181775i | 0.566633 | − | 0.00664193i | ||||
\(750\) | −12.5571 | + | 2.40684i | −0.458522 | + | 0.0878852i | ||||
\(751\) | 22.4734 | + | 10.8226i | 0.820065 | + | 0.394923i | 0.796380 | − | 0.604797i | \(-0.206746\pi\) |
0.0236854 | + | 0.999719i | \(0.492460\pi\) | |||||||
\(752\) | −0.766126 | − | 0.236319i | −0.0279378 | − | 0.00861766i | ||||
\(753\) | −4.17187 | + | 1.47093i | −0.152031 | + | 0.0536035i | ||||
\(754\) | −10.2772 | − | 17.8007i | −0.374275 | − | 0.648263i | ||||
\(755\) | 10.3888 | + | 45.5164i | 0.378088 | + | 1.65651i | ||||
\(756\) | 14.6108 | + | 4.80548i | 0.531390 | + | 0.174774i | ||||
\(757\) | 6.35628 | − | 27.8487i | 0.231023 | − | 1.01218i | −0.717770 | − | 0.696280i | \(-0.754837\pi\) |
0.948793 | − | 0.315898i | \(-0.102306\pi\) | |||||||
\(758\) | −28.4226 | + | 8.76721i | −1.03235 | + | 0.318439i | ||||
\(759\) | 15.6926 | − | 45.1906i | 0.569604 | − | 1.64032i | ||||
\(760\) | −6.12318 | − | 15.6016i | −0.222111 | − | 0.565929i | ||||
\(761\) | −7.78382 | + | 34.1031i | −0.282163 | + | 1.23624i | 0.612850 | + | 0.790199i | \(0.290023\pi\) |
−0.895013 | + | 0.446039i | \(0.852834\pi\) | |||||||
\(762\) | 23.8748 | − | 17.7081i | 0.864892 | − | 0.641497i | ||||
\(763\) | −20.1749 | − | 18.2843i | −0.730382 | − | 0.661934i | ||||
\(764\) | 1.69069 | + | 7.40738i | 0.0611669 | + | 0.267990i | ||||
\(765\) | −21.4972 | − | 8.31943i | −0.777232 | − | 0.300790i | ||||
\(766\) | −7.32207 | − | 12.6822i | −0.264557 | − | 0.458226i | ||||
\(767\) | −2.94602 | − | 12.9074i | −0.106375 | − | 0.466058i | ||||
\(768\) | −17.3076 | + | 23.5679i | −0.624536 | + | 0.850435i | ||||
\(769\) | −30.8926 | − | 4.65631i | −1.11401 | − | 0.167911i | −0.433861 | − | 0.900980i | \(-0.642849\pi\) |
−0.680154 | + | 0.733069i | \(0.738087\pi\) | |||||||
\(770\) | 13.6166 | + | 33.5334i | 0.490708 | + | 1.20846i | ||||
\(771\) | 34.1193 | + | 21.3257i | 1.22878 | + | 0.768028i | ||||
\(772\) | 1.06279 | − | 0.986128i | 0.0382508 | − | 0.0354915i | ||||
\(773\) | 14.0972 | − | 35.9190i | 0.507039 | − | 1.29192i | −0.416752 | − | 0.909020i | \(-0.636832\pi\) |
0.923792 | − | 0.382895i | \(-0.125073\pi\) | |||||||
\(774\) | −27.8871 | + | 6.50452i | −1.00238 | + | 0.233800i | ||||
\(775\) | −1.31181 | − | 3.34244i | −0.0471217 | − | 0.120064i | ||||
\(776\) | −0.193400 | + | 2.58074i | −0.00694264 | + | 0.0926431i | ||||
\(777\) | −5.98721 | − | 47.1541i | −0.214790 | − | 1.69164i | ||||
\(778\) | −1.68684 | − | 22.5093i | −0.0604761 | − | 0.806997i | ||||
\(779\) | −8.57831 | + | 4.13110i | −0.307350 | + | 0.148012i | ||||
\(780\) | 2.20956 | + | 19.2005i | 0.0791149 | + | 0.687488i | ||||
\(781\) | 45.9257 | − | 22.1166i | 1.64335 | − | 0.791396i | ||||
\(782\) | −13.5179 | + | 2.03750i | −0.483399 | + | 0.0728607i | ||||
\(783\) | 14.3284 | + | 26.6494i | 0.512054 | + | 0.952370i | ||||
\(784\) | −2.16298 | + | 2.84670i | −0.0772491 | + | 0.101668i | ||||
\(785\) | 5.44706 | − | 9.43459i | 0.194414 | − | 0.336735i | ||||
\(786\) | 0.0499252 | − | 1.42481i | 0.00178077 | − | 0.0508213i | ||||
\(787\) | −1.03968 | + | 13.8735i | −0.0370604 | + | 0.494537i | 0.947531 | + | 0.319665i | \(0.103570\pi\) |
−0.984591 | + | 0.174872i | \(0.944049\pi\) | |||||||
\(788\) | 15.6666 | + | 14.5365i | 0.558099 | + | 0.517840i | ||||
\(789\) | −12.3808 | + | 12.4397i | −0.440767 | + | 0.442865i | ||||
\(790\) | −22.2739 | + | 15.1861i | −0.792470 | + | 0.540297i | ||||
\(791\) | −15.8925 | + | 28.2872i | −0.565072 | + | 1.00578i | ||||
\(792\) | 20.7301 | − | 43.5745i | 0.736611 | − | 1.54835i | ||||
\(793\) | −6.84431 | − | 17.4390i | −0.243049 | − | 0.619278i | ||||
\(794\) | −21.4159 | − | 10.3134i | −0.760022 | − | 0.366007i | ||||
\(795\) | 0.524990 | − | 14.9827i | 0.0186195 | − | 0.531380i | ||||
\(796\) | 2.76322 | + | 12.1064i | 0.0979396 | + | 0.429101i | ||||
\(797\) | −7.32423 | + | 18.6618i | −0.259438 | + | 0.661036i | −0.999939 | − | 0.0110184i | \(-0.996493\pi\) |
0.740502 | + | 0.672054i | \(0.234588\pi\) | |||||||
\(798\) | −4.22225 | + | 8.26896i | −0.149466 | + | 0.292718i | ||||
\(799\) | 1.66133 | + | 4.23300i | 0.0587736 | + | 0.149753i | ||||
\(800\) | −9.04036 | + | 6.16361i | −0.319625 | + | 0.217917i | ||||
\(801\) | −22.0984 | + | 8.79433i | −0.780810 | + | 0.310732i | ||||
\(802\) | −1.02087 | − | 1.76819i | −0.0360481 | − | 0.0624371i | ||||
\(803\) | 1.96137 | + | 3.39719i | 0.0692152 | + | 0.119884i | ||||
\(804\) | −5.81154 | + | 11.0594i | −0.204957 | + | 0.390037i | ||||
\(805\) | 34.9438 | + | 4.84876i | 1.23161 | + | 0.170896i | ||||
\(806\) | −5.95077 | + | 1.83557i | −0.209607 | + | 0.0646552i | ||||
\(807\) | 39.4190 | − | 29.2374i | 1.38761 | − | 1.02920i | ||||
\(808\) | 36.0858 | − | 45.2501i | 1.26949 | − | 1.59189i | ||||
\(809\) | −30.5984 | − | 4.61196i | −1.07578 | − | 0.162148i | −0.412828 | − | 0.910809i | \(-0.635459\pi\) |
−0.662953 | + | 0.748661i | \(0.730697\pi\) | |||||||
\(810\) | 1.88679 | + | 22.3295i | 0.0662950 | + | 0.784579i | ||||
\(811\) | 11.5093 | − | 50.4253i | 0.404145 | − | 1.77067i | −0.206172 | − | 0.978516i | \(-0.566101\pi\) |
0.610316 | − | 0.792158i | \(-0.291042\pi\) | |||||||
\(812\) | 17.0124 | − | 2.76851i | 0.597018 | − | 0.0971557i | ||||
\(813\) | 29.0825 | − | 1.15735i | 1.01997 | − | 0.0405899i | ||||
\(814\) | −53.4949 | −1.87499 | ||||||||
\(815\) | 17.7081 | − | 30.6714i | 0.620288 | − | 1.07437i | ||||
\(816\) | −2.56062 | + | 0.101901i | −0.0896398 | + | 0.00356724i | ||||
\(817\) | 1.64003 | + | 21.8846i | 0.0573773 | + | 0.765647i | ||||
\(818\) | −12.1896 | + | 15.2853i | −0.426200 | + | 0.534438i | ||||
\(819\) | 19.9376 | − | 22.2103i | 0.696676 | − | 0.776090i | ||||
\(820\) | 8.16203 | + | 10.2349i | 0.285030 | + | 0.357417i | ||||
\(821\) | −9.85456 | + | 9.14369i | −0.343926 | + | 0.319117i | −0.833156 | − | 0.553038i | \(-0.813468\pi\) |
0.489230 | + | 0.872155i | \(0.337278\pi\) | |||||||
\(822\) | 0.600635 | − | 17.1415i | 0.0209496 | − | 0.597878i | ||||
\(823\) | −20.2172 | + | 13.7839i | −0.704728 | + | 0.480475i | −0.861888 | − | 0.507098i | \(-0.830718\pi\) |
0.157161 | + | 0.987573i | \(0.449766\pi\) | |||||||
\(824\) | 21.4034 | − | 26.8390i | 0.745623 | − | 0.934982i | ||||
\(825\) | 13.6624 | − | 13.7274i | 0.475662 | − | 0.477926i | ||||
\(826\) | −8.66150 | − | 1.20186i | −0.301372 | − | 0.0418180i | ||||
\(827\) | −27.5911 | − | 13.2872i | −0.959438 | − | 0.462041i | −0.112453 | − | 0.993657i | \(-0.535871\pi\) |
−0.846985 | + | 0.531616i | \(0.821585\pi\) | |||||||
\(828\) | −9.57095 | − | 13.8958i | −0.332613 | − | 0.482911i | ||||
\(829\) | −21.1629 | + | 6.52789i | −0.735018 | + | 0.226723i | −0.639593 | − | 0.768714i | \(-0.720897\pi\) |
−0.0954249 | + | 0.995437i | \(0.530421\pi\) | |||||||
\(830\) | 38.0782 | − | 18.3375i | 1.32171 | − | 0.636503i | ||||
\(831\) | −26.8706 | − | 16.7951i | −0.932131 | − | 0.582614i | ||||
\(832\) | 11.4088 | + | 19.7606i | 0.395529 | + | 0.685076i | ||||
\(833\) | 20.2723 | − | 0.475320i | 0.702394 | − | 0.0164689i | ||||
\(834\) | −5.88972 | + | 31.5377i | −0.203944 | + | 1.09206i | ||||
\(835\) | −7.46080 | + | 19.0098i | −0.258192 | + | 0.657862i | ||||
\(836\) | −10.9611 | − | 7.47312i | −0.379096 | − | 0.258463i | ||||
\(837\) | 8.83757 | − | 2.43562i | 0.305471 | − | 0.0841874i | ||||
\(838\) | −0.620626 | + | 8.28168i | −0.0214392 | + | 0.286086i | ||||
\(839\) | 20.3381 | − | 13.8663i | 0.702149 | − | 0.478717i | −0.158864 | − | 0.987300i | \(-0.550783\pi\) |
0.861013 | + | 0.508584i | \(0.169831\pi\) | |||||||
\(840\) | 34.4996 | + | 8.72487i | 1.19035 | + | 0.301037i | ||||
\(841\) | 4.05440 | + | 2.76425i | 0.139807 | + | 0.0953188i | ||||
\(842\) | 22.4662 | − | 28.1717i | 0.774235 | − | 0.970860i | ||||
\(843\) | −1.41585 | + | 1.92797i | −0.0487644 | + | 0.0664029i | ||||
\(844\) | 7.70531 | + | 9.66215i | 0.265228 | + | 0.332585i | ||||
\(845\) | 2.88878 | + | 0.891069i | 0.0993769 | + | 0.0306537i | ||||
\(846\) | 2.99144 | − | 3.25487i | 0.102848 | − | 0.111905i | ||||
\(847\) | 42.2689 | + | 28.0984i | 1.45238 | + | 0.965474i | ||||
\(848\) | −0.608914 | − | 1.55149i | −0.0209102 | − | 0.0532783i | ||||
\(849\) | −12.8452 | + | 17.4914i | −0.440845 | + | 0.600302i | ||||
\(850\) | −5.28877 | − | 1.63137i | −0.181403 | − | 0.0559555i | ||||
\(851\) | −26.0720 | + | 45.1581i | −0.893737 | + | 1.54800i | ||||
\(852\) | 3.30055 | − | 17.6734i | 0.113075 | − | 0.605482i | ||||
\(853\) | 18.3952 | + | 5.67417i | 0.629839 | + | 0.194280i | 0.593208 | − | 0.805049i | \(-0.297861\pi\) |
0.0366313 | + | 0.999329i | \(0.488337\pi\) | |||||||
\(854\) | −12.3729 | + | 0.145032i | −0.423391 | + | 0.00496288i | ||||
\(855\) | 17.1320 | + | 1.20208i | 0.585900 | + | 0.0411102i | ||||
\(856\) | −12.5801 | − | 11.6726i | −0.429979 | − | 0.398962i | ||||
\(857\) | −19.7799 | + | 24.8032i | −0.675667 | + | 0.847260i | −0.994947 | − | 0.100401i | \(-0.967988\pi\) |
0.319280 | + | 0.947660i | \(0.396559\pi\) | |||||||
\(858\) | −21.9708 | − | 25.4082i | −0.750069 | − | 0.867422i | ||||
\(859\) | −0.544235 | + | 2.38445i | −0.0185691 | + | 0.0813564i | −0.983363 | − | 0.181649i | \(-0.941857\pi\) |
0.964794 | + | 0.263005i | \(0.0847137\pi\) | |||||||
\(860\) | 28.8334 | − | 8.89393i | 0.983211 | − | 0.303280i | ||||
\(861\) | 3.47800 | − | 19.9143i | 0.118530 | − | 0.678679i | ||||
\(862\) | 21.3447 | + | 6.58396i | 0.727003 | + | 0.224251i | ||||
\(863\) | −6.97566 | + | 12.0822i | −0.237454 | + | 0.411283i | −0.959983 | − | 0.280058i | \(-0.909646\pi\) |
0.722529 | + | 0.691341i | \(0.242980\pi\) | |||||||
\(864\) | −13.2284 | − | 24.6035i | −0.450038 | − | 0.837027i | ||||
\(865\) | 30.0120 | − | 27.8471i | 1.02044 | − | 0.946828i | ||||
\(866\) | 0.00371478 | + | 0.0495703i | 0.000126233 | + | 0.00168447i | ||||
\(867\) | −9.75242 | − | 11.2782i | −0.331210 | − | 0.383029i | ||||
\(868\) | 0.329184 | − | 5.21170i | 0.0111732 | − | 0.176897i | ||||
\(869\) | −21.7318 | + | 55.3718i | −0.737202 | + | 1.87836i | ||||
\(870\) | 13.4110 | + | 21.2314i | 0.454676 | + | 0.719813i | ||||
\(871\) | 15.1155 | + | 18.9543i | 0.512170 | + | 0.642241i | ||||
\(872\) | 2.25155 | + | 30.0449i | 0.0762472 | + | 1.01745i | ||||
\(873\) | −2.30287 | − | 1.31502i | −0.0779404 | − | 0.0445068i | ||||
\(874\) | 9.17663 | − | 4.41923i | 0.310404 | − | 0.149483i | ||||
\(875\) | −17.3263 | − | 11.5177i | −0.585735 | − | 0.389370i | ||||
\(876\) | 1.37526 | + | 0.151648i | 0.0464657 | + | 0.00512373i | ||||
\(877\) | 33.9705 | − | 16.3593i | 1.14710 | − | 0.552415i | 0.238940 | − | 0.971034i | \(-0.423200\pi\) |
0.908162 | + | 0.418619i | \(0.137486\pi\) | |||||||
\(878\) | 26.3048 | + | 24.4073i | 0.887744 | + | 0.823706i | ||||
\(879\) | −9.21283 | − | 2.44514i | −0.310741 | − | 0.0824725i | ||||
\(880\) | 2.71914 | − | 6.92826i | 0.0916622 | − | 0.233551i | ||||
\(881\) | 25.3012 | 0.852417 | 0.426209 | − | 0.904625i | \(-0.359849\pi\) | ||||
0.426209 | + | 0.904625i | \(0.359849\pi\) | |||||||
\(882\) | −9.05053 | − | 17.5129i | −0.304747 | − | 0.589691i | ||||
\(883\) | 12.8526 | 0.432523 | 0.216262 | − | 0.976335i | \(-0.430614\pi\) | ||||
0.216262 | + | 0.976335i | \(0.430614\pi\) | |||||||
\(884\) | 4.45237 | − | 11.3445i | 0.149749 | − | 0.381555i | ||||
\(885\) | 4.22350 | + | 15.6139i | 0.141971 | + | 0.524857i | ||||
\(886\) | −19.0169 | − | 17.6451i | −0.638886 | − | 0.592800i | ||||
\(887\) | −13.1602 | + | 6.33763i | −0.441877 | + | 0.212797i | −0.641574 | − | 0.767061i | \(-0.721718\pi\) |
0.199697 | + | 0.979858i | \(0.436004\pi\) | |||||||
\(888\) | −31.1332 | + | 42.3943i | −1.04476 | + | 1.42266i | ||||
\(889\) | 47.9104 | + | 6.64800i | 1.60686 | + | 0.222967i | ||||
\(890\) | −17.7851 | + | 8.56484i | −0.596157 | + | 0.287094i | ||||
\(891\) | 31.1948 | + | 38.3639i | 1.04507 | + | 1.28524i | ||||
\(892\) | −0.862127 | − | 11.5043i | −0.0288661 | − | 0.385192i | ||||
\(893\) | −2.11239 | − | 2.64885i | −0.0706883 | − | 0.0886403i | ||||
\(894\) | 5.00888 | − | 9.53198i | 0.167522 | − | 0.318797i | ||||
\(895\) | −4.92299 | + | 12.5436i | −0.164557 | + | 0.419285i | ||||
\(896\) | −13.2023 | + | 2.14847i | −0.441057 | + | 0.0717754i | ||||
\(897\) | −32.1565 | + | 6.16346i | −1.07367 | + | 0.205792i | ||||
\(898\) | 0.539351 | + | 7.19713i | 0.0179984 | + | 0.240171i | ||||
\(899\) | 7.53057 | − | 6.98735i | 0.251159 | − | 0.233041i | ||||
\(900\) | −1.05020 | − | 6.74994i | −0.0350065 | − | 0.224998i | ||||
\(901\) | −4.72660 | + | 8.18671i | −0.157466 | + | 0.272739i | ||||
\(902\) | −21.7407 | − | 6.70612i | −0.723886 | − | 0.223289i | ||||
\(903\) | −39.7999 | − | 24.2323i | −1.32446 | − | 0.806400i | ||||
\(904\) | 34.3085 | − | 10.5828i | 1.14108 | − | 0.351977i | ||||
\(905\) | −6.03684 | + | 26.4491i | −0.200671 | + | 0.879199i | ||||
\(906\) | −28.1074 | + | 5.38737i | −0.933807 | + | 0.178983i | ||||
\(907\) | 1.03926 | − | 1.30319i | 0.0345080 | − | 0.0432717i | −0.764278 | − | 0.644887i | \(-0.776904\pi\) |
0.798786 | + | 0.601615i | \(0.205476\pi\) | |||||||
\(908\) | 2.49452 | + | 2.31458i | 0.0827837 | + | 0.0768120i | ||||
\(909\) | 25.9855 | + | 53.3104i | 0.861886 | + | 1.76819i | ||||
\(910\) | 15.2167 | − | 19.5468i | 0.504428 | − | 0.647970i | ||||
\(911\) | 37.3226 | + | 11.5125i | 1.23655 | + | 0.381426i | 0.843018 | − | 0.537885i | \(-0.180776\pi\) |
0.393533 | + | 0.919310i | \(0.371253\pi\) | |||||||
\(912\) | 1.80066 | − | 0.634881i | 0.0596258 | − | 0.0210230i | ||||
\(913\) | 46.6276 | − | 80.7614i | 1.54315 | − | 2.67281i | ||||
\(914\) | −8.06546 | − | 2.48787i | −0.266782 | − | 0.0822913i | ||||
\(915\) | 9.20260 | + | 20.9567i | 0.304229 | + | 0.692807i | ||||
\(916\) | 6.33523 | + | 16.1419i | 0.209322 | + | 0.533344i | ||||
\(917\) | 1.68200 | − | 1.59776i | 0.0555446 | − | 0.0527628i | ||||
\(918\) | 5.55815 | − | 12.9911i | 0.183446 | − | 0.428770i | ||||
\(919\) | 38.1581 | + | 11.7702i | 1.25872 | + | 0.388263i | 0.851155 | − | 0.524914i | \(-0.175903\pi\) |
0.407563 | + | 0.913177i | \(0.366379\pi\) | |||||||
\(920\) | −24.3399 | − | 30.5212i | −0.802461 | − | 1.00625i | ||||
\(921\) | −18.6478 | − | 2.05627i | −0.614465 | − | 0.0677565i | ||||
\(922\) | 14.9512 | − | 18.7482i | 0.492391 | − | 0.617439i | ||||
\(923\) | −28.8260 | − | 19.6532i | −0.948818 | − | 0.646893i | ||||
\(924\) | 26.4529 | − | 9.67689i | 0.870236 | − | 0.318346i | ||||
\(925\) | −17.4427 | + | 11.8922i | −0.573512 | + | 0.391014i | ||||
\(926\) | 2.90682 | − | 38.7888i | 0.0955240 | − | 1.27468i | ||||
\(927\) | 15.4127 | + | 31.6198i | 0.506220 | + | 1.03853i | ||||
\(928\) | −25.8646 | − | 17.6342i | −0.849046 | − | 0.578870i | ||||
\(929\) | 5.55165 | − | 14.1454i | 0.182144 | − | 0.464095i | −0.810416 | − | 0.585855i | \(-0.800759\pi\) |
0.992560 | + | 0.121760i | \(0.0388539\pi\) | |||||||
\(930\) | 7.17540 | − | 2.52992i | 0.235291 | − | 0.0829594i | ||||
\(931\) | −14.3285 | + | 4.79037i | −0.469598 | + | 0.156998i | ||||
\(932\) | 7.08222 | + | 12.2668i | 0.231986 | + | 0.401811i | ||||
\(933\) | −13.1725 | + | 7.00192i | −0.431248 | + | 0.229233i | ||||
\(934\) | −7.95811 | + | 3.83242i | −0.260397 | + | 0.125401i | ||||
\(935\) | −40.3383 | + | 12.4427i | −1.31920 | + | 0.406921i | ||||
\(936\) | −32.9225 | + | 2.62448i | −1.07611 | + | 0.0857837i | ||||
\(937\) | 26.1577 | + | 12.5969i | 0.854536 | + | 0.411523i | 0.809259 | − | 0.587452i | \(-0.199869\pi\) |
0.0452769 | + | 0.998974i | \(0.485583\pi\) | |||||||
\(938\) | 15.2449 | − | 4.89883i | 0.497763 | − | 0.159952i | ||||
\(939\) | 21.2588 | + | 5.64221i | 0.693754 | + | 0.184127i | ||||
\(940\) | −2.90436 | + | 3.64195i | −0.0947297 | + | 0.118787i | ||||
\(941\) | 4.68510 | − | 3.19425i | 0.152730 | − | 0.104129i | −0.484544 | − | 0.874767i | \(-0.661014\pi\) |
0.637274 | + | 0.770637i | \(0.280062\pi\) | |||||||
\(942\) | 5.66293 | + | 3.53953i | 0.184508 | + | 0.115324i | ||||
\(943\) | −16.2569 | + | 15.0842i | −0.529397 | + | 0.491208i | ||||
\(944\) | 1.12119 | + | 1.40592i | 0.0364915 | + | 0.0457589i | ||||
\(945\) | −23.2604 | + | 28.0824i | −0.756660 | + | 0.913522i | ||||
\(946\) | −32.6966 | + | 41.0002i | −1.06306 | + | 1.33303i | ||||
\(947\) | 3.50908 | + | 46.8254i | 0.114030 | + | 1.52162i | 0.701671 | + | 0.712501i | \(0.252437\pi\) |
−0.587642 | + | 0.809121i | \(0.699943\pi\) | |||||||
\(948\) | 11.2045 | + | 17.7382i | 0.363905 | + | 0.576110i | ||||
\(949\) | 1.34243 | − | 2.32516i | 0.0435772 | − | 0.0754778i | ||||
\(950\) | 4.12360 | 0.133787 | ||||||||
\(951\) | −11.6476 | + | 22.1656i | −0.377700 | + | 0.718769i | ||||
\(952\) | −16.6266 | − | 15.0684i | −0.538871 | − | 0.488371i | ||||
\(953\) | 3.88193 | − | 17.0079i | 0.125748 | − | 0.550939i | −0.872327 | − | 0.488923i | \(-0.837390\pi\) |
0.998075 | − | 0.0620159i | \(-0.0197529\pi\) | |||||||
\(954\) | 9.16746 | + | 0.643243i | 0.296808 | + | 0.0208258i | ||||
\(955\) | −17.8118 | − | 2.68470i | −0.576377 | − | 0.0868748i | ||||
\(956\) | 1.93272 | − | 2.42355i | 0.0625086 | − | 0.0783833i | ||||
\(957\) | 50.8399 | + | 22.0377i | 1.64342 | + | 0.712377i | ||||
\(958\) | −9.34835 | + | 2.88358i | −0.302031 | + | 0.0931644i | ||||
\(959\) | 20.2357 | − | 19.2222i | 0.653445 | − | 0.620719i | ||||
\(960\) | −14.8876 | − | 23.5691i | −0.480496 | − | 0.760689i | ||||
\(961\) | 13.9438 | + | 24.1514i | 0.449800 | + | 0.779076i | ||||
\(962\) | 18.3069 | + | 31.7085i | 0.590238 | + | 1.02232i | ||||
\(963\) | 16.3388 | − | 6.50222i | 0.526511 | − | 0.209531i | ||||
\(964\) | −20.9667 | + | 14.2948i | −0.675291 | + | 0.460406i | ||||
\(965\) | 1.25576 | + | 3.19962i | 0.0404243 | + | 0.102999i | ||||
\(966\) | −3.72058 | + | 21.3033i | −0.119708 | + | 0.685424i | ||||
\(967\) | −0.528310 | + | 1.34611i | −0.0169893 | + | 0.0432881i | −0.939117 | − | 0.343598i | \(-0.888354\pi\) |
0.922127 | + | 0.386886i | \(0.126449\pi\) | |||||||
\(968\) | −12.4979 | − | 54.7568i | −0.401697 | − | 1.75995i | ||||
\(969\) | −9.18301 | − | 5.73970i | −0.295001 | − | 0.184386i | ||||
\(970\) | −1.98301 | − | 0.954967i | −0.0636706 | − | 0.0306622i | ||||
\(971\) | 2.96550 | + | 7.55596i | 0.0951673 | + | 0.242482i | 0.970528 | − | 0.240988i | \(-0.0774714\pi\) |
−0.875361 | + | 0.483470i | \(0.839376\pi\) | |||||||
\(972\) | 17.4190 | − | 0.858961i | 0.558714 | − | 0.0275512i | ||||
\(973\) | −42.7871 | + | 29.9123i | −1.37169 | + | 0.958946i | ||||
\(974\) | 9.96130 | − | 6.79150i | 0.319180 | − | 0.217614i | ||||
\(975\) | −12.8123 | − | 3.40045i | −0.410320 | − | 0.108901i | ||||
\(976\) | 1.86530 | + | 1.73075i | 0.0597069 | + | 0.0553999i | ||||
\(977\) | −0.0739733 | + | 0.987105i | −0.00236661 | + | 0.0315803i | −0.998262 | − | 0.0589306i | \(-0.981231\pi\) |
0.995895 | + | 0.0905109i | \(0.0288500\pi\) | |||||||
\(978\) | 18.4099 | + | 11.5068i | 0.588683 | + | 0.367947i | ||||
\(979\) | −21.7783 | + | 37.7210i | −0.696036 | + | 1.20557i | ||||
\(980\) | 10.8050 | + | 17.7410i | 0.345153 | + | 0.566715i | ||||
\(981\) | −28.7923 | − | 11.1426i | −0.919267 | − | 0.355757i | ||||
\(982\) | 2.79428 | − | 0.421171i | 0.0891692 | − | 0.0134401i | ||||
\(983\) | 26.6551 | − | 12.8364i | 0.850164 | − | 0.409417i | 0.0425256 | − | 0.999095i | \(-0.486460\pi\) |
0.807638 | + | 0.589678i | \(0.200745\pi\) | |||||||
\(984\) | −17.9673 | + | 13.3265i | −0.572778 | + | 0.424834i | ||||
\(985\) | −45.6503 | + | 21.9840i | −1.45454 | + | 0.700469i | ||||
\(986\) | −1.18333 | − | 15.7904i | −0.0376849 | − | 0.502870i | ||||
\(987\) | 7.18400 | − | 0.370271i | 0.228669 | − | 0.0117859i | ||||
\(988\) | −0.678539 | + | 9.05447i | −0.0215872 | + | 0.288061i | ||||
\(989\) | 18.6752 | + | 47.5835i | 0.593836 | + | 1.51307i | ||||
\(990\) | 28.0558 | + | 29.9504i | 0.891672 | + | 0.951887i | ||||
\(991\) | −16.5142 | + | 42.0775i | −0.524591 | + | 1.33664i | 0.385683 | + | 0.922631i | \(0.373966\pi\) |
−0.910274 | + | 0.414005i | \(0.864129\pi\) | |||||||
\(992\) | −6.95244 | + | 6.45093i | −0.220740 | + | 0.204817i | ||||
\(993\) | −0.360396 | + | 10.2853i | −0.0114368 | + | 0.326395i | ||||
\(994\) | −18.8859 | + | 13.2031i | −0.599025 | + | 0.418777i | ||||
\(995\) | −29.1112 | − | 4.38780i | −0.922886 | − | 0.139103i | ||||
\(996\) | −13.2249 | − | 30.1164i | −0.419046 | − | 0.954275i | ||||
\(997\) | −8.67899 | − | 38.0251i | −0.274866 | − | 1.20427i | −0.904192 | − | 0.427126i | \(-0.859526\pi\) |
0.629326 | − | 0.777142i | \(-0.283331\pi\) | |||||||
\(998\) | 6.82537 | + | 11.8219i | 0.216053 | + | 0.374215i | ||||
\(999\) | −25.5232 | − | 47.4706i | −0.807518 | − | 1.50190i |
(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 | 441.2.z.a.142.21 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.21 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.21 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.21 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.21 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.21 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.21 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.21 | yes | 648 | 441.382 | even | 21 | inner |