Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 31.8 | ||
Character | \(\chi\) | \(=\) | 225.31 |
Dual form | 225.2.q.a.196.8 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.01797 | + | 1.13057i | −0.719811 | + | 0.799432i | −0.986397 | − | 0.164380i | \(-0.947438\pi\) |
0.266586 | + | 0.963811i | \(0.414104\pi\) | |||||||
\(3\) | 1.29814 | + | 1.14666i | 0.749482 | + | 0.662025i | ||||
\(4\) | −0.0328678 | − | 0.312716i | −0.0164339 | − | 0.156358i | ||||
\(5\) | −1.82344 | + | 1.29424i | −0.815467 | + | 0.578804i | ||||
\(6\) | −2.61784 | + | 0.300373i | −1.06873 | + | 0.122627i | ||||
\(7\) | 0.255551 | + | 0.442627i | 0.0965891 | + | 0.167297i | 0.910271 | − | 0.414014i | \(-0.135873\pi\) |
−0.813682 | + | 0.581311i | \(0.802540\pi\) | |||||||
\(8\) | −2.07456 | − | 1.50725i | −0.733466 | − | 0.532894i | ||||
\(9\) | 0.370341 | + | 2.97705i | 0.123447 | + | 0.992351i | ||||
\(10\) | 0.392972 | − | 3.37902i | 0.124269 | − | 1.06854i | ||||
\(11\) | −0.559696 | + | 0.621605i | −0.168755 | + | 0.187421i | −0.821590 | − | 0.570079i | \(-0.806913\pi\) |
0.652835 | + | 0.757500i | \(0.273579\pi\) | |||||||
\(12\) | 0.315912 | − | 0.443637i | 0.0911959 | − | 0.128067i | ||||
\(13\) | −1.95815 | − | 2.17475i | −0.543093 | − | 0.603166i | 0.407653 | − | 0.913137i | \(-0.366347\pi\) |
−0.950746 | + | 0.309971i | \(0.899681\pi\) | |||||||
\(14\) | −0.760561 | − | 0.161662i | −0.203269 | − | 0.0432061i | ||||
\(15\) | −3.85114 | − | 0.410753i | −0.994360 | − | 0.106056i | ||||
\(16\) | 4.43101 | − | 0.941841i | 1.10775 | − | 0.235460i | ||||
\(17\) | 2.78774 | + | 2.02541i | 0.676126 | + | 0.491234i | 0.872070 | − | 0.489381i | \(-0.162777\pi\) |
−0.195944 | + | 0.980615i | \(0.562777\pi\) | |||||||
\(18\) | −3.74275 | − | 2.61185i | −0.882175 | − | 0.615618i | ||||
\(19\) | 4.87884 | + | 3.54469i | 1.11928 | + | 0.813207i | 0.984100 | − | 0.177614i | \(-0.0568379\pi\) |
0.135183 | + | 0.990821i | \(0.456838\pi\) | |||||||
\(20\) | 0.464663 | + | 0.527679i | 0.103902 | + | 0.117993i | ||||
\(21\) | −0.175802 | + | 0.867622i | −0.0383630 | + | 0.189331i | ||||
\(22\) | −0.133014 | − | 1.26555i | −0.0283587 | − | 0.269815i | ||||
\(23\) | −5.69440 | − | 1.21038i | −1.18736 | − | 0.252382i | −0.428446 | − | 0.903567i | \(-0.640939\pi\) |
−0.758919 | + | 0.651185i | \(0.774272\pi\) | |||||||
\(24\) | −0.964759 | − | 4.33544i | −0.196931 | − | 0.884967i | ||||
\(25\) | 1.64986 | − | 4.71995i | 0.329973 | − | 0.943990i | ||||
\(26\) | 4.45203 | 0.873115 | ||||||||
\(27\) | −2.93291 | + | 4.28929i | −0.564439 | + | 0.825475i | ||||
\(28\) | 0.130017 | − | 0.0944629i | 0.0245709 | − | 0.0178518i | ||||
\(29\) | 0.545297 | + | 0.242782i | 0.101259 | + | 0.0450835i | 0.456741 | − | 0.889600i | \(-0.349017\pi\) |
−0.355482 | + | 0.934683i | \(0.615683\pi\) | |||||||
\(30\) | 4.38472 | − | 3.93584i | 0.800536 | − | 0.718582i | ||||
\(31\) | −0.811164 | + | 0.361154i | −0.145689 | + | 0.0648651i | −0.478286 | − | 0.878204i | \(-0.658742\pi\) |
0.332597 | + | 0.943069i | \(0.392075\pi\) | |||||||
\(32\) | −0.881520 | + | 1.52684i | −0.155832 | + | 0.269909i | ||||
\(33\) | −1.43933 | + | 0.165150i | −0.250556 | + | 0.0287490i | ||||
\(34\) | −5.12769 | + | 1.08992i | −0.879391 | + | 0.186920i | ||||
\(35\) | −1.03885 | − | 0.476358i | −0.175597 | − | 0.0805192i | ||||
\(36\) | 0.918799 | − | 0.213661i | 0.153133 | − | 0.0356101i | ||||
\(37\) | −2.62260 | + | 8.07154i | −0.431153 | + | 1.32695i | 0.465825 | + | 0.884877i | \(0.345758\pi\) |
−0.896978 | + | 0.442075i | \(0.854242\pi\) | |||||||
\(38\) | −8.97400 | + | 1.90748i | −1.45578 | + | 0.309435i | ||||
\(39\) | −0.0482609 | − | 5.06846i | −0.00772793 | − | 0.811603i | ||||
\(40\) | 5.73358 | + | 0.0634027i | 0.906559 | + | 0.0100248i | ||||
\(41\) | 6.02515 | + | 6.69161i | 0.940970 | + | 1.04505i | 0.998907 | + | 0.0467329i | \(0.0148810\pi\) |
−0.0579374 | + | 0.998320i | \(0.518452\pi\) | |||||||
\(42\) | −0.801944 | − | 1.08197i | −0.123743 | − | 0.166951i | ||||
\(43\) | −1.06736 | − | 1.84872i | −0.162771 | − | 0.281928i | 0.773090 | − | 0.634296i | \(-0.218710\pi\) |
−0.935862 | + | 0.352368i | \(0.885377\pi\) | |||||||
\(44\) | 0.212782 | + | 0.154595i | 0.0320780 | + | 0.0233061i | ||||
\(45\) | −4.52833 | − | 4.94916i | −0.675043 | − | 0.737778i | ||||
\(46\) | 7.16513 | − | 5.20577i | 1.05644 | − | 0.767549i | ||||
\(47\) | 6.64527 | + | 2.95867i | 0.969312 | + | 0.431566i | 0.829435 | − | 0.558603i | \(-0.188662\pi\) |
0.139877 | + | 0.990169i | \(0.455329\pi\) | |||||||
\(48\) | 6.83205 | + | 3.85822i | 0.986122 | + | 0.556887i | ||||
\(49\) | 3.36939 | − | 5.83595i | 0.481341 | − | 0.833707i | ||||
\(50\) | 3.65672 | + | 6.67004i | 0.517138 | + | 0.943286i | ||||
\(51\) | 1.29642 | + | 5.82586i | 0.181535 | + | 0.815783i | ||||
\(52\) | −0.615718 | + | 0.683824i | −0.0853847 | + | 0.0948293i | ||||
\(53\) | 7.16056 | − | 5.20245i | 0.983578 | − | 0.714612i | 0.0250729 | − | 0.999686i | \(-0.492018\pi\) |
0.958505 | + | 0.285074i | \(0.0920182\pi\) | |||||||
\(54\) | −1.86372 | − | 7.68221i | −0.253620 | − | 1.04542i | ||||
\(55\) | 0.216062 | − | 1.85784i | 0.0291339 | − | 0.250511i | ||||
\(56\) | 0.136996 | − | 1.30343i | 0.0183069 | − | 0.174179i | ||||
\(57\) | 2.26888 | + | 10.1959i | 0.300520 | + | 1.35048i | ||||
\(58\) | −0.829576 | + | 0.369351i | −0.108929 | + | 0.0484982i | ||||
\(59\) | 5.38582 | + | 5.98156i | 0.701174 | + | 0.778733i | 0.983563 | − | 0.180567i | \(-0.0577934\pi\) |
−0.282389 | + | 0.959300i | \(0.591127\pi\) | |||||||
\(60\) | −0.00187077 | + | 1.21781i | −0.000241515 | + | 0.157219i | ||||
\(61\) | 1.83668 | − | 2.03984i | 0.235163 | − | 0.261175i | −0.614000 | − | 0.789306i | \(-0.710440\pi\) |
0.849163 | + | 0.528131i | \(0.177107\pi\) | |||||||
\(62\) | 0.417430 | − | 1.28472i | 0.0530137 | − | 0.163159i | ||||
\(63\) | −1.22308 | + | 0.924711i | −0.154094 | + | 0.116503i | ||||
\(64\) | 1.97086 | + | 6.06570i | 0.246358 | + | 0.758212i | ||||
\(65\) | 6.38522 | + | 1.43119i | 0.791989 | + | 0.177518i | ||||
\(66\) | 1.27848 | − | 1.79538i | 0.157370 | − | 0.220996i | ||||
\(67\) | −1.39886 | + | 0.622815i | −0.170898 | + | 0.0760889i | −0.490403 | − | 0.871496i | \(-0.663150\pi\) |
0.319504 | + | 0.947585i | \(0.396484\pi\) | |||||||
\(68\) | 0.541751 | − | 0.938340i | 0.0656970 | − | 0.113790i | ||||
\(69\) | −6.00424 | − | 8.10079i | −0.722825 | − | 0.975220i | ||||
\(70\) | 1.59607 | − | 0.689571i | 0.190767 | − | 0.0824194i | ||||
\(71\) | 4.04843 | − | 2.94135i | 0.480460 | − | 0.349075i | −0.321044 | − | 0.947064i | \(-0.604034\pi\) |
0.801504 | + | 0.597990i | \(0.204034\pi\) | |||||||
\(72\) | 3.71888 | − | 6.73426i | 0.438274 | − | 0.793640i | ||||
\(73\) | 3.39778 | + | 10.4573i | 0.397680 | + | 1.22393i | 0.926855 | + | 0.375419i | \(0.122501\pi\) |
−0.529175 | + | 0.848512i | \(0.677499\pi\) | |||||||
\(74\) | −6.45569 | − | 11.1816i | −0.750459 | − | 1.29983i | ||||
\(75\) | 7.55394 | − | 4.23533i | 0.872253 | − | 0.489054i | ||||
\(76\) | 0.948122 | − | 1.64220i | 0.108757 | − | 0.188373i | ||||
\(77\) | −0.418169 | − | 0.0888847i | −0.0476548 | − | 0.0101293i | ||||
\(78\) | 5.77936 | + | 5.10496i | 0.654384 | + | 0.578023i | ||||
\(79\) | 6.89241 | + | 3.06870i | 0.775457 | + | 0.345256i | 0.756014 | − | 0.654555i | \(-0.227144\pi\) |
0.0194429 | + | 0.999811i | \(0.493811\pi\) | |||||||
\(80\) | −6.86071 | + | 7.45220i | −0.767051 | + | 0.833182i | ||||
\(81\) | −8.72569 | + | 2.20505i | −0.969522 | + | 0.245006i | ||||
\(82\) | −13.6987 | −1.51277 | ||||||||
\(83\) | −0.0470005 | + | 0.447180i | −0.00515898 | + | 0.0490844i | −0.996799 | − | 0.0799544i | \(-0.974523\pi\) |
0.991640 | + | 0.129039i | \(0.0411892\pi\) | |||||||
\(84\) | 0.277097 | + | 0.0264591i | 0.0302338 | + | 0.00288693i | ||||
\(85\) | −7.70465 | − | 0.0851990i | −0.835686 | − | 0.00924113i | ||||
\(86\) | 3.17664 | + | 0.675217i | 0.342546 | + | 0.0728105i | ||||
\(87\) | 0.429485 | + | 0.940436i | 0.0460456 | + | 0.100825i | ||||
\(88\) | 2.09804 | − | 0.445951i | 0.223651 | − | 0.0475386i | ||||
\(89\) | −5.39621 | − | 16.6078i | −0.571997 | − | 1.76043i | −0.646184 | − | 0.763181i | \(-0.723636\pi\) |
0.0741872 | − | 0.997244i | \(-0.476364\pi\) | |||||||
\(90\) | 10.2051 | − | 0.0814926i | 1.07571 | − | 0.00859007i | ||||
\(91\) | 0.462194 | − | 1.42249i | 0.0484511 | − | 0.149117i | ||||
\(92\) | −0.191343 | + | 1.82051i | −0.0199489 | + | 0.189801i | ||||
\(93\) | −1.46713 | − | 0.461301i | −0.152134 | − | 0.0478347i | ||||
\(94\) | −10.1096 | + | 4.50110i | −1.04273 | + | 0.464253i | ||||
\(95\) | −13.4840 | − | 0.149107i | −1.38343 | − | 0.0152981i | ||||
\(96\) | −2.89510 | + | 0.971246i | −0.295480 | + | 0.0991274i | ||||
\(97\) | −15.4623 | − | 6.88427i | −1.56996 | − | 0.698991i | −0.576924 | − | 0.816798i | \(-0.695747\pi\) |
−0.993037 | + | 0.117807i | \(0.962414\pi\) | |||||||
\(98\) | 3.16801 | + | 9.75012i | 0.320017 | + | 0.984911i | ||||
\(99\) | −2.05783 | − | 1.43604i | −0.206820 | − | 0.144327i | ||||
\(100\) | −1.53023 | − | 0.360804i | −0.153023 | − | 0.0360804i | ||||
\(101\) | −8.66842 | − | 15.0141i | −0.862540 | − | 1.49396i | −0.869469 | − | 0.493988i | \(-0.835539\pi\) |
0.00692858 | − | 0.999976i | \(-0.497795\pi\) | |||||||
\(102\) | −7.90623 | − | 4.46484i | −0.782834 | − | 0.442085i | ||||
\(103\) | −0.876074 | − | 8.33529i | −0.0863221 | − | 0.821300i | −0.948943 | − | 0.315449i | \(-0.897845\pi\) |
0.862621 | − | 0.505852i | \(-0.168822\pi\) | |||||||
\(104\) | 0.784399 | + | 7.46306i | 0.0769167 | + | 0.731813i | ||||
\(105\) | −0.802351 | − | 1.80959i | −0.0783014 | − | 0.176597i | ||||
\(106\) | −1.40749 | + | 13.3914i | −0.136708 | + | 1.30069i | ||||
\(107\) | 12.3203 | 1.19105 | 0.595524 | − | 0.803338i | \(-0.296945\pi\) | ||||
0.595524 | + | 0.803338i | \(0.296945\pi\) | |||||||
\(108\) | 1.43773 | + | 0.776189i | 0.138345 | + | 0.0746888i | ||||
\(109\) | −4.53429 | + | 13.9551i | −0.434306 | + | 1.33666i | 0.459490 | + | 0.888183i | \(0.348032\pi\) |
−0.893796 | + | 0.448474i | \(0.851968\pi\) | |||||||
\(110\) | 1.88047 | + | 2.13549i | 0.179296 | + | 0.203611i | ||||
\(111\) | −12.6598 | + | 7.47076i | −1.20162 | + | 0.709093i | ||||
\(112\) | 1.54923 | + | 1.72060i | 0.146389 | + | 0.162581i | ||||
\(113\) | −8.31782 | − | 9.23787i | −0.782474 | − | 0.869026i | 0.211642 | − | 0.977347i | \(-0.432119\pi\) |
−0.994116 | + | 0.108322i | \(0.965452\pi\) | |||||||
\(114\) | −13.8368 | − | 7.81395i | −1.29593 | − | 0.731843i | ||||
\(115\) | 11.9499 | − | 5.16289i | 1.11434 | − | 0.481442i | ||||
\(116\) | 0.0579991 | − | 0.178503i | 0.00538508 | − | 0.0165736i | ||||
\(117\) | 5.74915 | − | 6.63492i | 0.531509 | − | 0.613398i | ||||
\(118\) | −12.2451 | −1.12726 | ||||||||
\(119\) | −0.184092 | + | 1.75152i | −0.0168757 | + | 0.160562i | ||||
\(120\) | 7.37030 | + | 6.65677i | 0.672813 | + | 0.607678i | ||||
\(121\) | 1.07668 | + | 10.2439i | 0.0978800 | + | 0.931266i | ||||
\(122\) | 0.436496 | + | 4.15298i | 0.0395185 | + | 0.375993i | ||||
\(123\) | 0.148497 | + | 15.5954i | 0.0133895 | + | 1.40619i | ||||
\(124\) | 0.139600 | + | 0.241794i | 0.0125364 | + | 0.0217137i | ||||
\(125\) | 3.10035 | + | 10.7419i | 0.277303 | + | 0.960782i | ||||
\(126\) | 0.199610 | − | 2.32410i | 0.0177827 | − | 0.207047i | ||||
\(127\) | −4.71456 | − | 14.5099i | −0.418349 | − | 1.28755i | −0.909221 | − | 0.416315i | \(-0.863321\pi\) |
0.490871 | − | 0.871232i | \(-0.336679\pi\) | |||||||
\(128\) | −12.0852 | − | 5.38067i | −1.06819 | − | 0.475589i | ||||
\(129\) | 0.734272 | − | 3.62381i | 0.0646491 | − | 0.319058i | ||||
\(130\) | −8.11801 | + | 5.76201i | −0.711996 | + | 0.505362i | ||||
\(131\) | 8.42687 | − | 3.75188i | 0.736259 | − | 0.327804i | −0.00412177 | − | 0.999992i | \(-0.501312\pi\) |
0.740381 | + | 0.672188i | \(0.234645\pi\) | |||||||
\(132\) | 0.0989528 | + | 0.444674i | 0.00861273 | + | 0.0387039i | ||||
\(133\) | −0.322181 | + | 3.06535i | −0.0279367 | + | 0.265800i | ||||
\(134\) | 0.719864 | − | 2.21551i | 0.0621868 | − | 0.191391i | ||||
\(135\) | −0.203401 | − | 11.6172i | −0.0175060 | − | 0.999847i | ||||
\(136\) | −2.73051 | − | 8.40365i | −0.234139 | − | 0.720607i | ||||
\(137\) | 9.11279 | − | 1.93698i | 0.778558 | − | 0.165488i | 0.198542 | − | 0.980092i | \(-0.436379\pi\) |
0.580016 | + | 0.814605i | \(0.303046\pi\) | |||||||
\(138\) | 15.2706 | + | 1.45814i | 1.29992 | + | 0.124125i | ||||
\(139\) | −5.70167 | − | 1.21193i | −0.483609 | − | 0.102794i | −0.0403459 | − | 0.999186i | \(-0.512846\pi\) |
−0.443263 | + | 0.896391i | \(0.646179\pi\) | |||||||
\(140\) | −0.114820 | + | 0.340521i | −0.00970407 | + | 0.0287793i | ||||
\(141\) | 5.23392 | + | 11.4606i | 0.440775 | + | 0.965159i | ||||
\(142\) | −0.795767 | + | 7.57122i | −0.0667793 | + | 0.635363i | ||||
\(143\) | 2.44780 | 0.204695 | ||||||||
\(144\) | 4.44490 | + | 12.8426i | 0.370408 | + | 1.07021i | ||||
\(145\) | −1.30854 | + | 0.263050i | −0.108668 | + | 0.0218451i | ||||
\(146\) | −15.2815 | − | 6.80375i | −1.26470 | − | 0.563082i | ||||
\(147\) | 11.0658 | − | 3.71235i | 0.912691 | − | 0.306189i | ||||
\(148\) | 2.61030 | + | 0.554835i | 0.214565 | + | 0.0456072i | ||||
\(149\) | −0.938800 | + | 1.62605i | −0.0769095 | + | 0.133211i | −0.901915 | − | 0.431913i | \(-0.857839\pi\) |
0.825006 | + | 0.565125i | \(0.191172\pi\) | |||||||
\(150\) | −2.90133 | + | 12.8517i | −0.236893 | + | 1.04933i | ||||
\(151\) | −1.02623 | − | 1.77749i | −0.0835138 | − | 0.144650i | 0.821243 | − | 0.570578i | \(-0.193281\pi\) |
−0.904757 | + | 0.425928i | \(0.859948\pi\) | |||||||
\(152\) | −4.77869 | − | 14.7073i | −0.387603 | − | 1.19292i | ||||
\(153\) | −4.99734 | + | 9.04934i | −0.404011 | + | 0.731596i | ||||
\(154\) | 0.526173 | − | 0.382287i | 0.0424002 | − | 0.0308056i | ||||
\(155\) | 1.01169 | − | 1.70839i | 0.0812607 | − | 0.137221i | ||||
\(156\) | −1.58340 | + | 0.181681i | −0.126774 | + | 0.0145461i | ||||
\(157\) | −2.99334 | + | 5.18462i | −0.238895 | + | 0.413778i | −0.960397 | − | 0.278634i | \(-0.910118\pi\) |
0.721503 | + | 0.692412i | \(0.243452\pi\) | |||||||
\(158\) | −10.4856 | + | 4.66850i | −0.834191 | + | 0.371406i | ||||
\(159\) | 15.2609 | + | 1.45721i | 1.21026 | + | 0.115564i | ||||
\(160\) | −0.368702 | − | 3.92500i | −0.0291485 | − | 0.310298i | ||||
\(161\) | −0.919460 | − | 2.82981i | −0.0724636 | − | 0.223020i | ||||
\(162\) | 6.38951 | − | 12.1097i | 0.502007 | − | 0.951424i | ||||
\(163\) | 5.22667 | − | 16.0860i | 0.409385 | − | 1.25996i | −0.507793 | − | 0.861479i | \(-0.669539\pi\) |
0.917178 | − | 0.398478i | \(-0.130461\pi\) | |||||||
\(164\) | 1.89454 | − | 2.10410i | 0.147939 | − | 0.164302i | ||||
\(165\) | 2.41079 | − | 2.16399i | 0.187680 | − | 0.168466i | ||||
\(166\) | −0.457722 | − | 0.508352i | −0.0355261 | − | 0.0394558i | ||||
\(167\) | 19.5078 | − | 8.68543i | 1.50956 | − | 0.672099i | 0.525638 | − | 0.850708i | \(-0.323827\pi\) |
0.983920 | + | 0.178610i | \(0.0571599\pi\) | |||||||
\(168\) | 1.67244 | − | 1.53495i | 0.129031 | − | 0.118424i | ||||
\(169\) | 0.463701 | − | 4.41182i | 0.0356693 | − | 0.339371i | ||||
\(170\) | 7.93940 | − | 8.62389i | 0.608924 | − | 0.661422i | ||||
\(171\) | −8.74588 | + | 15.8373i | −0.668814 | + | 1.21111i | ||||
\(172\) | −0.543043 | + | 0.394544i | −0.0414067 | + | 0.0300837i | ||||
\(173\) | 2.21895 | − | 2.46440i | 0.168704 | − | 0.187365i | −0.652864 | − | 0.757475i | \(-0.726433\pi\) |
0.821568 | + | 0.570110i | \(0.193100\pi\) | |||||||
\(174\) | −1.50043 | − | 0.471772i | −0.113747 | − | 0.0357649i | ||||
\(175\) | 2.51080 | − | 0.475913i | 0.189799 | − | 0.0359757i | ||||
\(176\) | −1.89457 | + | 3.28148i | −0.142808 | + | 0.247351i | ||||
\(177\) | 0.132740 | + | 13.9406i | 0.00997733 | + | 1.04784i | ||||
\(178\) | 24.2694 | + | 10.8054i | 1.81907 | + | 0.809902i | ||||
\(179\) | −2.64332 | + | 1.92048i | −0.197571 | + | 0.143543i | −0.682172 | − | 0.731191i | \(-0.738965\pi\) |
0.484602 | + | 0.874735i | \(0.338965\pi\) | |||||||
\(180\) | −1.39885 | + | 1.57875i | −0.104264 | + | 0.117673i | ||||
\(181\) | −5.08500 | − | 3.69447i | −0.377965 | − | 0.274607i | 0.382541 | − | 0.923938i | \(-0.375049\pi\) |
−0.760506 | + | 0.649331i | \(0.775049\pi\) | |||||||
\(182\) | 1.13772 | + | 1.97059i | 0.0843333 | + | 0.146070i | ||||
\(183\) | 4.72327 | − | 0.541953i | 0.349155 | − | 0.0400623i | ||||
\(184\) | 9.98900 | + | 11.0939i | 0.736399 | + | 0.817854i | ||||
\(185\) | −5.66438 | − | 18.1122i | −0.416454 | − | 1.33164i | ||||
\(186\) | 2.01502 | − | 1.18909i | 0.147748 | − | 0.0871886i | ||||
\(187\) | −2.81929 | + | 0.599258i | −0.206167 | + | 0.0438221i | ||||
\(188\) | 0.706806 | − | 2.17533i | 0.0515491 | − | 0.158652i | ||||
\(189\) | −2.64806 | − | 0.202055i | −0.192618 | − | 0.0146973i | ||||
\(190\) | 13.8948 | − | 15.0927i | 1.00803 | − | 1.09494i | ||||
\(191\) | −10.8485 | + | 2.30593i | −0.784972 | + | 0.166851i | −0.582926 | − | 0.812525i | \(-0.698092\pi\) |
−0.202046 | + | 0.979376i | \(0.564759\pi\) | |||||||
\(192\) | −4.39683 | + | 10.1340i | −0.317314 | + | 0.731361i | ||||
\(193\) | −4.50515 | + | 7.80315i | −0.324288 | + | 0.561683i | −0.981368 | − | 0.192138i | \(-0.938458\pi\) |
0.657080 | + | 0.753821i | \(0.271791\pi\) | |||||||
\(194\) | 23.5232 | − | 10.4732i | 1.68887 | − | 0.751934i | ||||
\(195\) | 6.64783 | + | 9.17957i | 0.476061 | + | 0.657363i | ||||
\(196\) | −1.93574 | − | 0.861846i | −0.138267 | − | 0.0615604i | ||||
\(197\) | −21.9807 | + | 15.9699i | −1.56606 | + | 1.13781i | −0.635253 | + | 0.772304i | \(0.719104\pi\) |
−0.930809 | + | 0.365506i | \(0.880896\pi\) | |||||||
\(198\) | 3.71834 | − | 0.864675i | 0.264251 | − | 0.0614498i | ||||
\(199\) | 15.6745 | 1.11114 | 0.555569 | − | 0.831471i | \(-0.312501\pi\) | ||||
0.555569 | + | 0.831471i | \(0.312501\pi\) | |||||||
\(200\) | −10.5369 | + | 7.30504i | −0.745071 | + | 0.516545i | ||||
\(201\) | −2.53008 | − | 0.795521i | −0.178458 | − | 0.0561117i | ||||
\(202\) | 25.7987 | + | 5.48368i | 1.81519 | + | 0.385830i | ||||
\(203\) | 0.0318893 | + | 0.303406i | 0.00223819 | + | 0.0212949i | ||||
\(204\) | 1.77923 | − | 0.596894i | 0.124571 | − | 0.0417909i | ||||
\(205\) | −19.6471 | − | 4.40372i | −1.37221 | − | 0.307569i | ||||
\(206\) | 10.3154 | + | 7.49459i | 0.718709 | + | 0.522173i | ||||
\(207\) | 1.49450 | − | 17.4008i | 0.103875 | − | 1.20944i | ||||
\(208\) | −10.7249 | − | 7.79207i | −0.743635 | − | 0.540283i | ||||
\(209\) | −4.93406 | + | 1.04877i | −0.341296 | + | 0.0725447i | ||||
\(210\) | 2.86262 | + | 0.934987i | 0.197540 | + | 0.0645202i | ||||
\(211\) | 16.3896 | + | 3.48371i | 1.12830 | + | 0.239829i | 0.733999 | − | 0.679151i | \(-0.237652\pi\) |
0.394306 | + | 0.918979i | \(0.370985\pi\) | |||||||
\(212\) | −1.86224 | − | 2.06823i | −0.127899 | − | 0.142046i | ||||
\(213\) | 8.62816 | + | 0.823876i | 0.591192 | + | 0.0564511i | ||||
\(214\) | −12.5416 | + | 13.9289i | −0.857329 | + | 0.952161i | ||||
\(215\) | 4.33897 | + | 1.98961i | 0.295915 | + | 0.135690i | ||||
\(216\) | 12.5495 | − | 4.47773i | 0.853888 | − | 0.304671i | ||||
\(217\) | −0.367150 | − | 0.266750i | −0.0249237 | − | 0.0181082i | ||||
\(218\) | −11.1614 | − | 19.3322i | −0.755947 | − | 1.30934i | ||||
\(219\) | −7.58015 | + | 17.4711i | −0.512219 | + | 1.18059i | ||||
\(220\) | −0.588078 | − | 0.00650305i | −0.0396482 | − | 0.000438435i | ||||
\(221\) | −1.05406 | − | 10.0287i | −0.0709035 | − | 0.674602i | ||||
\(222\) | 4.44108 | − | 21.9178i | 0.298066 | − | 1.47102i | ||||
\(223\) | 6.86298 | − | 7.62211i | 0.459579 | − | 0.510414i | −0.468160 | − | 0.883644i | \(-0.655083\pi\) |
0.927739 | + | 0.373229i | \(0.121750\pi\) | |||||||
\(224\) | −0.901091 | −0.0602067 | ||||||||
\(225\) | 14.6626 | + | 3.16374i | 0.977504 | + | 0.210916i | ||||
\(226\) | 18.9113 | 1.25796 | ||||||||
\(227\) | −3.94083 | + | 4.37673i | −0.261562 | + | 0.290494i | −0.859593 | − | 0.510979i | \(-0.829283\pi\) |
0.598031 | + | 0.801473i | \(0.295950\pi\) | |||||||
\(228\) | 3.11384 | − | 1.04463i | 0.206219 | − | 0.0691822i | ||||
\(229\) | −1.48626 | − | 14.1408i | −0.0982145 | − | 0.934449i | −0.927045 | − | 0.374949i | \(-0.877660\pi\) |
0.828831 | − | 0.559499i | \(-0.189007\pi\) | |||||||
\(230\) | −6.32764 | + | 18.7658i | −0.417232 | + | 1.23738i | ||||
\(231\) | −0.440922 | − | 0.594883i | −0.0290106 | − | 0.0391404i | ||||
\(232\) | −0.765316 | − | 1.32557i | −0.0502454 | − | 0.0870277i | ||||
\(233\) | 4.13877 | + | 3.00699i | 0.271140 | + | 0.196995i | 0.715044 | − | 0.699080i | \(-0.246407\pi\) |
−0.443904 | + | 0.896074i | \(0.646407\pi\) | |||||||
\(234\) | 1.64877 | + | 13.2539i | 0.107783 | + | 0.866436i | ||||
\(235\) | −15.9465 | + | 3.20566i | −1.04023 | + | 0.209114i | ||||
\(236\) | 1.69351 | − | 1.88083i | 0.110238 | − | 0.122432i | ||||
\(237\) | 5.42857 | + | 11.8869i | 0.352623 | + | 0.772135i | ||||
\(238\) | −1.79281 | − | 1.99112i | −0.116211 | − | 0.129065i | ||||
\(239\) | 5.45260 | + | 1.15899i | 0.352699 | + | 0.0749685i | 0.380854 | − | 0.924635i | \(-0.375630\pi\) |
−0.0281551 | + | 0.999604i | \(0.508963\pi\) | |||||||
\(240\) | −17.4513 | + | 1.80711i | −1.12648 | + | 0.116648i | ||||
\(241\) | −22.7925 | + | 4.84469i | −1.46819 | + | 0.312074i | −0.871500 | − | 0.490396i | \(-0.836852\pi\) |
−0.596693 | + | 0.802470i | \(0.703519\pi\) | |||||||
\(242\) | −12.6775 | − | 9.21072i | −0.814938 | − | 0.592087i | ||||
\(243\) | −13.8556 | − | 7.14294i | −0.888839 | − | 0.458220i | ||||
\(244\) | −0.698258 | − | 0.507314i | −0.0447014 | − | 0.0324775i | ||||
\(245\) | 1.40927 | + | 15.0023i | 0.0900350 | + | 0.958463i | ||||
\(246\) | −17.7829 | − | 15.7078i | −1.13379 | − | 1.00149i | ||||
\(247\) | −1.84471 | − | 17.5513i | −0.117376 | − | 1.11676i | ||||
\(248\) | 2.22715 | + | 0.473396i | 0.141424 | + | 0.0300607i | ||||
\(249\) | −0.573777 | + | 0.526610i | −0.0363616 | + | 0.0333725i | ||||
\(250\) | −15.3005 | − | 7.42973i | −0.967686 | − | 0.469897i | ||||
\(251\) | −22.9704 | −1.44988 | −0.724941 | − | 0.688811i | \(-0.758133\pi\) | ||||
−0.724941 | + | 0.688811i | \(0.758133\pi\) | |||||||
\(252\) | 0.329372 | + | 0.352084i | 0.0207485 | + | 0.0221792i | ||||
\(253\) | 3.93951 | − | 2.86222i | 0.247675 | − | 0.179946i | ||||
\(254\) | 21.2037 | + | 9.44049i | 1.33044 | + | 0.592349i | ||||
\(255\) | −9.90402 | − | 8.94521i | −0.620214 | − | 0.560171i | ||||
\(256\) | 6.73261 | − | 2.99755i | 0.420788 | − | 0.187347i | ||||
\(257\) | 0.0155867 | − | 0.0269970i | 0.000972274 | − | 0.00168403i | −0.865539 | − | 0.500842i | \(-0.833024\pi\) |
0.866511 | + | 0.499158i | \(0.166357\pi\) | |||||||
\(258\) | 3.34949 | + | 4.51906i | 0.208530 | + | 0.281344i | ||||
\(259\) | −4.24288 | + | 0.901853i | −0.263640 | + | 0.0560384i | ||||
\(260\) | 0.237689 | − | 2.04380i | 0.0147408 | − | 0.126751i | ||||
\(261\) | −0.520829 | + | 1.71329i | −0.0322385 | + | 0.106050i | ||||
\(262\) | −4.33652 | + | 13.3464i | −0.267911 | + | 0.824545i | ||||
\(263\) | 22.8282 | − | 4.85229i | 1.40765 | − | 0.299205i | 0.559442 | − | 0.828870i | \(-0.311016\pi\) |
0.848207 | + | 0.529665i | \(0.177682\pi\) | |||||||
\(264\) | 3.23490 | + | 1.82683i | 0.199094 | + | 0.112433i | ||||
\(265\) | −6.32360 | + | 18.7539i | −0.388456 | + | 1.15204i | ||||
\(266\) | −3.13761 | − | 3.48467i | −0.192379 | − | 0.213659i | ||||
\(267\) | 12.0385 | − | 27.7469i | 0.736743 | − | 1.69808i | ||||
\(268\) | 0.240741 | + | 0.416976i | 0.0147056 | + | 0.0254709i | ||||
\(269\) | 13.1174 | + | 9.53037i | 0.799784 | + | 0.581077i | 0.910851 | − | 0.412736i | \(-0.135427\pi\) |
−0.111067 | + | 0.993813i | \(0.535427\pi\) | |||||||
\(270\) | 13.3410 | + | 11.5959i | 0.811910 | + | 0.705706i | ||||
\(271\) | 8.23042 | − | 5.97975i | 0.499962 | − | 0.363244i | −0.309040 | − | 0.951049i | \(-0.600008\pi\) |
0.809003 | + | 0.587805i | \(0.200008\pi\) | |||||||
\(272\) | 14.2601 | + | 6.34901i | 0.864647 | + | 0.384966i | ||||
\(273\) | 2.23110 | − | 1.31661i | 0.135032 | − | 0.0796849i | ||||
\(274\) | −7.08663 | + | 12.2744i | −0.428119 | + | 0.741524i | ||||
\(275\) | 2.01052 | + | 3.66730i | 0.121239 | + | 0.221146i | ||||
\(276\) | −2.33590 | + | 2.14388i | −0.140605 | + | 0.129046i | ||||
\(277\) | 4.60550 | − | 5.11493i | 0.276718 | − | 0.307326i | −0.588726 | − | 0.808333i | \(-0.700370\pi\) |
0.865443 | + | 0.501007i | \(0.167037\pi\) | |||||||
\(278\) | 7.17427 | − | 5.21241i | 0.430284 | − | 0.312620i | ||||
\(279\) | −1.37558 | − | 2.28113i | −0.0823539 | − | 0.136568i | ||||
\(280\) | 1.43716 | + | 2.55404i | 0.0858865 | + | 0.152633i | ||||
\(281\) | 1.68619 | − | 16.0430i | 0.100590 | − | 0.957048i | −0.821536 | − | 0.570157i | \(-0.806882\pi\) |
0.922126 | − | 0.386891i | \(-0.126451\pi\) | |||||||
\(282\) | −18.2850 | − | 5.74925i | −1.08885 | − | 0.342363i | ||||
\(283\) | 15.3146 | − | 6.81851i | 0.910360 | − | 0.405318i | 0.102527 | − | 0.994730i | \(-0.467307\pi\) |
0.807833 | + | 0.589412i | \(0.200641\pi\) | |||||||
\(284\) | −1.05287 | − | 1.16933i | −0.0624764 | − | 0.0693871i | ||||
\(285\) | −17.3331 | − | 15.6551i | −1.02672 | − | 0.927327i | ||||
\(286\) | −2.49178 | + | 2.76740i | −0.147342 | + | 0.163640i | ||||
\(287\) | −1.42215 | + | 4.37693i | −0.0839470 | + | 0.258362i | ||||
\(288\) | −4.87194 | − | 2.05888i | −0.287082 | − | 0.121321i | ||||
\(289\) | −1.58409 | − | 4.87534i | −0.0931819 | − | 0.286785i | ||||
\(290\) | 1.03465 | − | 1.74716i | 0.0607568 | − | 0.102597i | ||||
\(291\) | −12.1784 | − | 26.6668i | −0.713908 | − | 1.56323i | ||||
\(292\) | 3.15848 | − | 1.40625i | 0.184836 | − | 0.0822943i | ||||
\(293\) | −11.7345 | + | 20.3247i | −0.685536 | + | 1.18738i | 0.287732 | + | 0.957711i | \(0.407099\pi\) |
−0.973268 | + | 0.229672i | \(0.926235\pi\) | |||||||
\(294\) | −7.06756 | + | 16.2897i | −0.412188 | + | 0.950033i | ||||
\(295\) | −17.5623 | − | 3.93644i | −1.02252 | − | 0.229189i | ||||
\(296\) | 17.6066 | − | 12.7919i | 1.02336 | − | 0.743516i | ||||
\(297\) | −1.02471 | − | 4.22381i | −0.0594595 | − | 0.245090i | ||||
\(298\) | −0.882691 | − | 2.71664i | −0.0511329 | − | 0.157371i | ||||
\(299\) | 8.51822 | + | 14.7540i | 0.492621 | + | 0.853245i | ||||
\(300\) | −1.57274 | − | 2.22303i | −0.0908020 | − | 0.128347i | ||||
\(301\) | 0.545530 | − | 0.944885i | 0.0314438 | − | 0.0544623i | ||||
\(302\) | 3.05424 | + | 0.649200i | 0.175752 | + | 0.0373572i | ||||
\(303\) | 5.96329 | − | 29.4302i | 0.342582 | − | 1.69072i | ||||
\(304\) | 24.9567 | + | 11.1115i | 1.43137 | + | 0.637286i | ||||
\(305\) | −0.709024 | + | 6.09664i | −0.0405986 | + | 0.349093i | ||||
\(306\) | −5.14375 | − | 14.8618i | −0.294049 | − | 0.849590i | ||||
\(307\) | −8.91785 | −0.508969 | −0.254484 | − | 0.967077i | \(-0.581906\pi\) | ||||
−0.254484 | + | 0.967077i | \(0.581906\pi\) | |||||||
\(308\) | −0.0140513 | + | 0.133690i | −0.000800650 | + | 0.00761767i | ||||
\(309\) | 8.42047 | − | 11.8249i | 0.479024 | − | 0.672697i | ||||
\(310\) | 0.901580 | + | 2.88286i | 0.0512063 | + | 0.163736i | ||||
\(311\) | −19.9920 | − | 4.24944i | −1.13364 | − | 0.240964i | −0.397378 | − | 0.917655i | \(-0.630080\pi\) |
−0.736267 | + | 0.676691i | \(0.763413\pi\) | |||||||
\(312\) | −7.53933 | + | 10.5875i | −0.426831 | + | 0.599402i | ||||
\(313\) | 22.6394 | − | 4.81215i | 1.27965 | − | 0.271999i | 0.482564 | − | 0.875861i | \(-0.339706\pi\) |
0.797089 | + | 0.603862i | \(0.206372\pi\) | |||||||
\(314\) | −2.81444 | − | 8.66194i | −0.158828 | − | 0.488822i | ||||
\(315\) | 1.03341 | − | 3.26912i | 0.0582263 | − | 0.184194i | ||||
\(316\) | 0.733093 | − | 2.25623i | 0.0412397 | − | 0.126923i | ||||
\(317\) | −1.11960 | + | 10.6523i | −0.0628828 | + | 0.598290i | 0.917024 | + | 0.398833i | \(0.130585\pi\) |
−0.979906 | + | 0.199457i | \(0.936082\pi\) | |||||||
\(318\) | −17.1825 | + | 15.7700i | −0.963548 | + | 0.884339i | ||||
\(319\) | −0.456115 | + | 0.203075i | −0.0255375 | + | 0.0113700i | ||||
\(320\) | −11.4442 | − | 8.50965i | −0.639753 | − | 0.475704i | ||||
\(321\) | 15.9935 | + | 14.1272i | 0.892669 | + | 0.788503i | ||||
\(322\) | 4.13527 | + | 1.84114i | 0.230449 | + | 0.102603i | ||||
\(323\) | 6.42149 | + | 19.7633i | 0.357301 | + | 1.09966i | ||||
\(324\) | 0.976348 | + | 2.65619i | 0.0542416 | + | 0.147566i | ||||
\(325\) | −13.4954 | + | 5.65434i | −0.748589 | + | 0.313647i | ||||
\(326\) | 12.8658 | + | 22.2842i | 0.712569 | + | 1.23421i | ||||
\(327\) | −21.8879 | + | 12.9164i | −1.21040 | + | 0.714279i | ||||
\(328\) | −2.41356 | − | 22.9635i | −0.133267 | − | 1.26795i | ||||
\(329\) | 0.388619 | + | 3.69746i | 0.0214253 | + | 0.203848i | ||||
\(330\) | −0.00757091 | + | 4.92843i | −0.000416765 | + | 0.271301i | ||||
\(331\) | −2.45698 | + | 23.3766i | −0.135048 | + | 1.28489i | 0.691645 | + | 0.722238i | \(0.256886\pi\) |
−0.826692 | + | 0.562654i | \(0.809780\pi\) | |||||||
\(332\) | 0.141385 | 0.00775952 | ||||||||
\(333\) | −25.0006 | − | 4.81840i | −1.37003 | − | 0.264047i | ||||
\(334\) | −10.0388 | + | 30.8963i | −0.549300 | + | 1.69057i | ||||
\(335\) | 1.74467 | − | 2.94614i | 0.0953215 | − | 0.160965i | ||||
\(336\) | 0.0381826 | + | 4.01002i | 0.00208303 | + | 0.218765i | ||||
\(337\) | −0.833194 | − | 0.925356i | −0.0453870 | − | 0.0504073i | 0.720024 | − | 0.693949i | \(-0.244131\pi\) |
−0.765411 | + | 0.643542i | \(0.777464\pi\) | |||||||
\(338\) | 4.51583 | + | 5.01533i | 0.245629 | + | 0.272798i | ||||
\(339\) | −0.205002 | − | 21.5298i | −0.0111342 | − | 1.16934i | ||||
\(340\) | 0.226591 | + | 2.41216i | 0.0122886 | + | 0.130818i | ||||
\(341\) | 0.229510 | − | 0.706360i | 0.0124287 | − | 0.0382515i | ||||
\(342\) | −9.00212 | − | 26.0097i | −0.486779 | − | 1.40644i | ||||
\(343\) | 7.02190 | 0.379147 | ||||||||
\(344\) | −0.572194 | + | 5.44406i | −0.0308506 | + | 0.293524i | ||||
\(345\) | 21.4328 | + | 7.00035i | 1.15390 | + | 0.376886i | ||||
\(346\) | 0.527345 | + | 5.01735i | 0.0283502 | + | 0.269734i | ||||
\(347\) | 3.45879 | + | 32.9082i | 0.185678 | + | 1.76661i | 0.549840 | + | 0.835270i | \(0.314689\pi\) |
−0.364162 | + | 0.931336i | \(0.618645\pi\) | |||||||
\(348\) | 0.279973 | − | 0.165217i | 0.0150081 | − | 0.00885654i | ||||
\(349\) | −7.71967 | − | 13.3709i | −0.413224 | − | 0.715726i | 0.582016 | − | 0.813177i | \(-0.302264\pi\) |
−0.995240 | + | 0.0974517i | \(0.968931\pi\) | |||||||
\(350\) | −2.01786 | + | 3.32309i | −0.107859 | + | 0.177627i | ||||
\(351\) | 15.0712 | − | 2.02074i | 0.804442 | − | 0.107859i | ||||
\(352\) | −0.455707 | − | 1.40252i | −0.0242892 | − | 0.0747546i | ||||
\(353\) | 22.9186 | + | 10.2040i | 1.21983 | + | 0.543105i | 0.912727 | − | 0.408570i | \(-0.133972\pi\) |
0.307107 | + | 0.951675i | \(0.400639\pi\) | |||||||
\(354\) | −15.8959 | − | 14.0410i | −0.844859 | − | 0.746272i | ||||
\(355\) | −3.57523 | + | 10.6030i | −0.189754 | + | 0.562751i | ||||
\(356\) | −5.01617 | + | 2.23334i | −0.265856 | + | 0.118367i | ||||
\(357\) | −2.24738 | + | 2.06263i | −0.118944 | + | 0.109166i | ||||
\(358\) | 0.519576 | − | 4.94343i | 0.0274604 | − | 0.261268i | ||||
\(359\) | 0.624628 | − | 1.92241i | 0.0329666 | − | 0.101461i | −0.933219 | − | 0.359307i | \(-0.883013\pi\) |
0.966186 | + | 0.257847i | \(0.0830130\pi\) | |||||||
\(360\) | 1.93463 | + | 17.0927i | 0.101964 | + | 0.900862i | ||||
\(361\) | 5.36697 | + | 16.5178i | 0.282472 | + | 0.869360i | ||||
\(362\) | 9.35320 | − | 1.98808i | 0.491593 | − | 0.104491i | ||||
\(363\) | −10.3486 | + | 14.5326i | −0.543161 | + | 0.762766i | ||||
\(364\) | −0.460026 | − | 0.0977815i | −0.0241119 | − | 0.00512514i | ||||
\(365\) | −19.7299 | − | 14.6707i | −1.03271 | − | 0.767898i | ||||
\(366\) | −4.19542 | + | 5.89167i | −0.219298 | + | 0.307962i | ||||
\(367\) | −3.66163 | + | 34.8381i | −0.191135 | + | 1.81853i | 0.307308 | + | 0.951610i | \(0.400572\pi\) |
−0.498443 | + | 0.866922i | \(0.666095\pi\) | |||||||
\(368\) | −26.3720 | −1.37473 | ||||||||
\(369\) | −17.6899 | + | 20.4154i | −0.920900 | + | 1.06278i | ||||
\(370\) | 26.2433 | + | 12.0337i | 1.36432 | + | 0.625602i | ||||
\(371\) | 4.13263 | + | 1.83996i | 0.214555 | + | 0.0955262i | ||||
\(372\) | −0.0960350 | + | 0.473955i | −0.00497919 | + | 0.0245734i | ||||
\(373\) | −13.4338 | − | 2.85545i | −0.695577 | − | 0.147849i | −0.153463 | − | 0.988154i | \(-0.549043\pi\) |
−0.542114 | + | 0.840305i | \(0.682376\pi\) | |||||||
\(374\) | 2.19244 | − | 3.79742i | 0.113368 | − | 0.196360i | ||||
\(375\) | −8.29259 | + | 17.4995i | −0.428228 | + | 0.903671i | ||||
\(376\) | −9.32653 | − | 16.1540i | −0.480979 | − | 0.833080i | ||||
\(377\) | −0.539785 | − | 1.66129i | −0.0278003 | − | 0.0855607i | ||||
\(378\) | 2.92408 | − | 2.78813i | 0.150398 | − | 0.143406i | ||||
\(379\) | 20.8462 | − | 15.1457i | 1.07080 | − | 0.777980i | 0.0947423 | − | 0.995502i | \(-0.469797\pi\) |
0.976055 | + | 0.217522i | \(0.0697973\pi\) | |||||||
\(380\) | 0.396559 | + | 4.22155i | 0.0203431 | + | 0.216561i | ||||
\(381\) | 10.5178 | − | 24.2419i | 0.538842 | − | 1.24195i | ||||
\(382\) | 8.43644 | − | 14.6123i | 0.431646 | − | 0.747633i | ||||
\(383\) | 15.1119 | − | 6.72825i | 0.772182 | − | 0.343797i | 0.0174642 | − | 0.999847i | \(-0.494441\pi\) |
0.754717 | + | 0.656050i | \(0.227774\pi\) | |||||||
\(384\) | −9.51847 | − | 20.8425i | −0.485738 | − | 1.06361i | ||||
\(385\) | 0.877545 | − | 0.379138i | 0.0447238 | − | 0.0193226i | ||||
\(386\) | −4.23589 | − | 13.0367i | −0.215601 | − | 0.663552i | ||||
\(387\) | 5.10846 | − | 3.86225i | 0.259678 | − | 0.196329i | ||||
\(388\) | −1.64461 | + | 5.06158i | −0.0834923 | + | 0.256963i | ||||
\(389\) | −10.4226 | + | 11.5755i | −0.528449 | + | 0.586902i | −0.946977 | − | 0.321302i | \(-0.895880\pi\) |
0.418528 | + | 0.908204i | \(0.362546\pi\) | |||||||
\(390\) | −17.1454 | − | 1.82869i | −0.868191 | − | 0.0925991i | ||||
\(391\) | −13.4230 | − | 14.9077i | −0.678829 | − | 0.753916i | ||||
\(392\) | −15.7862 | + | 7.02849i | −0.797325 | + | 0.354992i | ||||
\(393\) | 15.2414 | + | 4.79228i | 0.768827 | + | 0.241738i | ||||
\(394\) | 4.32058 | − | 41.1075i | 0.217668 | − | 2.07097i | ||||
\(395\) | −16.5395 | + | 3.32488i | −0.832195 | + | 0.167293i | ||||
\(396\) | −0.381435 | + | 0.690715i | −0.0191679 | + | 0.0347097i | ||||
\(397\) | 2.54039 | − | 1.84570i | 0.127498 | − | 0.0926330i | −0.522208 | − | 0.852818i | \(-0.674892\pi\) |
0.649707 | + | 0.760185i | \(0.274892\pi\) | |||||||
\(398\) | −15.9561 | + | 17.7211i | −0.799809 | + | 0.888278i | ||||
\(399\) | −3.93315 | + | 3.60983i | −0.196904 | + | 0.180717i | ||||
\(400\) | 2.86512 | − | 22.4681i | 0.143256 | − | 1.12340i | ||||
\(401\) | 1.03308 | − | 1.78934i | 0.0515894 | − | 0.0893554i | −0.839077 | − | 0.544012i | \(-0.816905\pi\) |
0.890667 | + | 0.454656i | \(0.150238\pi\) | |||||||
\(402\) | 3.47493 | − | 2.05061i | 0.173314 | − | 0.102275i | ||||
\(403\) | 2.37380 | + | 1.05688i | 0.118247 | + | 0.0526471i | ||||
\(404\) | −4.41025 | + | 3.20423i | −0.219418 | + | 0.159417i | ||||
\(405\) | 13.0569 | − | 15.3140i | 0.648803 | − | 0.760957i | ||||
\(406\) | −0.375483 | − | 0.272805i | −0.0186349 | − | 0.0135391i | ||||
\(407\) | −3.54945 | − | 6.14782i | −0.175940 | − | 0.304736i | ||||
\(408\) | 6.09154 | − | 14.0401i | 0.301576 | − | 0.695088i | ||||
\(409\) | −20.2979 | − | 22.5431i | −1.00367 | − | 1.11468i | −0.993396 | − | 0.114737i | \(-0.963398\pi\) |
−0.0102700 | − | 0.999947i | \(-0.503269\pi\) | |||||||
\(410\) | 24.9788 | − | 17.7295i | 1.23361 | − | 0.875596i | ||||
\(411\) | 14.0508 | + | 7.93480i | 0.693072 | + | 0.391395i | ||||
\(412\) | −2.57778 | + | 0.547924i | −0.126998 | + | 0.0269943i | ||||
\(413\) | −1.27125 | + | 3.91250i | −0.0625540 | + | 0.192521i | ||||
\(414\) | 18.1514 | + | 19.4031i | 0.892093 | + | 0.953609i | ||||
\(415\) | −0.493058 | − | 0.876236i | −0.0242033 | − | 0.0430128i | ||||
\(416\) | 5.04663 | − | 1.07269i | 0.247431 | − | 0.0525932i | ||||
\(417\) | −6.01190 | − | 8.11113i | −0.294404 | − | 0.397204i | ||||
\(418\) | 3.83701 | − | 6.64589i | 0.187674 | − | 0.325061i | ||||
\(419\) | 21.7151 | − | 9.66820i | 1.06085 | − | 0.472322i | 0.199273 | − | 0.979944i | \(-0.436142\pi\) |
0.861580 | + | 0.507622i | \(0.169475\pi\) | |||||||
\(420\) | −0.539515 | + | 0.310385i | −0.0263256 | + | 0.0151452i | ||||
\(421\) | 9.91682 | + | 4.41525i | 0.483316 | + | 0.215186i | 0.633906 | − | 0.773410i | \(-0.281451\pi\) |
−0.150590 | + | 0.988596i | \(0.548117\pi\) | |||||||
\(422\) | −20.6226 | + | 14.9832i | −1.00389 | + | 0.729371i | ||||
\(423\) | −6.34709 | + | 20.8790i | −0.308606 | + | 1.01517i | ||||
\(424\) | −22.6964 | −1.10223 | ||||||||
\(425\) | 14.1592 | − | 9.81634i | 0.686823 | − | 0.476162i | ||||
\(426\) | −9.71463 | + | 8.91604i | −0.470676 | + | 0.431983i | ||||
\(427\) | 1.37225 | + | 0.291681i | 0.0664080 | + | 0.0141154i | ||||
\(428\) | −0.404940 | − | 3.85275i | −0.0195735 | − | 0.186230i | ||||
\(429\) | 3.17759 | + | 2.80680i | 0.153416 | + | 0.135513i | ||||
\(430\) | −6.66631 | + | 2.88014i | −0.321478 | + | 0.138893i | ||||
\(431\) | −6.07997 | − | 4.41736i | −0.292862 | − | 0.212777i | 0.431646 | − | 0.902043i | \(-0.357933\pi\) |
−0.724508 | + | 0.689266i | \(0.757933\pi\) | |||||||
\(432\) | −8.95595 | + | 21.7682i | −0.430893 | + | 1.04733i | ||||
\(433\) | −3.91359 | − | 2.84339i | −0.188075 | − | 0.136644i | 0.489763 | − | 0.871855i | \(-0.337083\pi\) |
−0.677838 | + | 0.735211i | \(0.737083\pi\) | |||||||
\(434\) | 0.675325 | − | 0.143545i | 0.0324166 | − | 0.00689037i | ||||
\(435\) | −2.00029 | − | 1.15897i | −0.0959067 | − | 0.0555684i | ||||
\(436\) | 4.51301 | + | 0.959271i | 0.216134 | + | 0.0459407i | ||||
\(437\) | −23.4916 | − | 26.0901i | −1.12376 | − | 1.24806i | ||||
\(438\) | −12.0359 | − | 26.3549i | −0.575099 | − | 1.25929i | ||||
\(439\) | 21.3652 | − | 23.7284i | 1.01970 | − | 1.13250i | 0.0285746 | − | 0.999592i | \(-0.490903\pi\) |
0.991129 | − | 0.132904i | \(-0.0424302\pi\) | |||||||
\(440\) | −3.24847 | + | 3.52854i | −0.154865 | + | 0.168216i | ||||
\(441\) | 18.6218 | + | 7.86955i | 0.886751 | + | 0.374741i | ||||
\(442\) | 12.4111 | + | 9.01718i | 0.590335 | + | 0.428904i | ||||
\(443\) | 4.66178 | + | 8.07443i | 0.221488 | + | 0.383628i | 0.955260 | − | 0.295768i | \(-0.0955754\pi\) |
−0.733772 | + | 0.679396i | \(0.762242\pi\) | |||||||
\(444\) | 2.75232 | + | 3.71338i | 0.130620 | + | 0.176229i | ||||
\(445\) | 31.3342 | + | 23.2993i | 1.48539 | + | 1.10450i | ||||
\(446\) | 1.63102 | + | 15.5181i | 0.0772310 | + | 0.734804i | ||||
\(447\) | −3.08322 | + | 1.03436i | −0.145831 | + | 0.0489234i | ||||
\(448\) | −2.18118 | + | 2.42245i | −0.103051 | + | 0.114450i | ||||
\(449\) | −25.4208 | −1.19968 | −0.599840 | − | 0.800120i | \(-0.704769\pi\) | ||||
−0.599840 | + | 0.800120i | \(0.704769\pi\) | |||||||
\(450\) | −18.5028 | + | 13.3564i | −0.872231 | + | 0.629628i | ||||
\(451\) | −7.53178 | −0.354658 | ||||||||
\(452\) | −2.61544 | + | 2.90474i | −0.123020 | + | 0.136627i | ||||
\(453\) | 0.705980 | − | 3.48418i | 0.0331698 | − | 0.163701i | ||||
\(454\) | −0.936557 | − | 8.91074i | −0.0439548 | − | 0.418202i | ||||
\(455\) | 0.998263 | + | 3.19201i | 0.0467993 | + | 0.149644i | ||||
\(456\) | 10.6609 | − | 24.5717i | 0.499240 | − | 1.15067i | ||||
\(457\) | 15.2755 | + | 26.4579i | 0.714557 | + | 1.23765i | 0.963130 | + | 0.269036i | \(0.0867050\pi\) |
−0.248573 | + | 0.968613i | \(0.579962\pi\) | |||||||
\(458\) | 17.5000 | + | 12.7145i | 0.817724 | + | 0.594111i | ||||
\(459\) | −16.8638 | + | 6.01707i | −0.787133 | + | 0.280853i | ||||
\(460\) | −2.00728 | − | 3.56724i | −0.0935901 | − | 0.166323i | ||||
\(461\) | −9.77138 | + | 10.8522i | −0.455099 | + | 0.505438i | −0.926404 | − | 0.376532i | \(-0.877116\pi\) |
0.471305 | + | 0.881970i | \(0.343783\pi\) | |||||||
\(462\) | 1.12140 | + | 0.107079i | 0.0521722 | + | 0.00498176i | ||||
\(463\) | 7.28565 | + | 8.09154i | 0.338593 | + | 0.376046i | 0.888262 | − | 0.459337i | \(-0.151913\pi\) |
−0.549669 | + | 0.835382i | \(0.685246\pi\) | |||||||
\(464\) | 2.64488 | + | 0.562187i | 0.122786 | + | 0.0260989i | ||||
\(465\) | 3.27225 | − | 1.05766i | 0.151747 | − | 0.0490480i | ||||
\(466\) | −7.61274 | + | 1.61814i | −0.352653 | + | 0.0749587i | ||||
\(467\) | 0.134914 | + | 0.0980206i | 0.00624307 | + | 0.00453585i | 0.590902 | − | 0.806743i | \(-0.298772\pi\) |
−0.584659 | + | 0.811279i | \(0.698772\pi\) | |||||||
\(468\) | −2.26381 | − | 1.57978i | −0.104644 | − | 0.0730252i | ||||
\(469\) | −0.633155 | − | 0.460014i | −0.0292364 | − | 0.0212415i | ||||
\(470\) | 12.6088 | − | 21.2918i | 0.581600 | − | 0.982119i | ||||
\(471\) | −9.83078 | + | 3.29802i | −0.452978 | + | 0.151965i | ||||
\(472\) | −2.15746 | − | 20.5269i | −0.0993052 | − | 0.944826i | ||||
\(473\) | 1.74657 | + | 0.371246i | 0.0803075 | + | 0.0170699i | ||||
\(474\) | −18.9650 | − | 5.96307i | −0.871091 | − | 0.273893i | ||||
\(475\) | 24.7802 | − | 17.1796i | 1.13699 | − | 0.788256i | ||||
\(476\) | 0.553779 | 0.0253824 | ||||||||
\(477\) | 18.1398 | + | 19.3907i | 0.830565 | + | 0.887838i | ||||
\(478\) | −6.86088 | + | 4.98472i | −0.313809 | + | 0.227996i | ||||
\(479\) | −26.7243 | − | 11.8984i | −1.22106 | − | 0.543653i | −0.307968 | − | 0.951397i | \(-0.599649\pi\) |
−0.913096 | + | 0.407744i | \(0.866316\pi\) | |||||||
\(480\) | 4.02201 | − | 5.51797i | 0.183579 | − | 0.251860i | ||||
\(481\) | 22.6890 | − | 10.1018i | 1.03453 | − | 0.460602i | ||||
\(482\) | 17.7247 | − | 30.7001i | 0.807340 | − | 1.39835i | ||||
\(483\) | 2.05124 | − | 4.72780i | 0.0933346 | − | 0.215122i | ||||
\(484\) | 3.16805 | − | 0.673389i | 0.144002 | − | 0.0306086i | ||||
\(485\) | 37.1045 | − | 7.45897i | 1.68483 | − | 0.338694i | ||||
\(486\) | 22.1801 | − | 8.39344i | 1.00611 | − | 0.380734i | ||||
\(487\) | 10.0050 | − | 30.7921i | 0.453369 | − | 1.39532i | −0.419671 | − | 0.907676i | \(-0.637855\pi\) |
0.873040 | − | 0.487649i | \(-0.162145\pi\) | |||||||
\(488\) | −6.88485 | + | 1.46342i | −0.311663 | + | 0.0662459i | ||||
\(489\) | 25.2302 | − | 14.8887i | 1.14095 | − | 0.673292i | ||||
\(490\) | −18.3957 | − | 13.6786i | −0.831034 | − | 0.617936i | ||||
\(491\) | 2.23539 | + | 2.48266i | 0.100882 | + | 0.112041i | 0.791471 | − | 0.611206i | \(-0.209315\pi\) |
−0.690589 | + | 0.723247i | \(0.742649\pi\) | |||||||
\(492\) | 4.87206 | − | 0.559025i | 0.219649 | − | 0.0252028i | ||||
\(493\) | 1.02841 | + | 1.78126i | 0.0463174 | + | 0.0802241i | ||||
\(494\) | 21.7207 | + | 15.7810i | 0.977262 | + | 0.710023i | ||||
\(495\) | 5.61091 | − | 0.0448060i | 0.252192 | − | 0.00201388i | ||||
\(496\) | −3.25413 | + | 2.36426i | −0.146115 | + | 0.106159i | ||||
\(497\) | 2.33650 | + | 1.04028i | 0.104806 | + | 0.0466628i | ||||
\(498\) | −0.0112811 | − | 1.18476i | −0.000505518 | − | 0.0530906i | ||||
\(499\) | −13.0016 | + | 22.5194i | −0.582030 | + | 1.00811i | 0.413208 | + | 0.910637i | \(0.364408\pi\) |
−0.995239 | + | 0.0974695i | \(0.968925\pi\) | |||||||
\(500\) | 3.25725 | − | 1.32259i | 0.145669 | − | 0.0591479i | ||||
\(501\) | 35.2831 | + | 11.0939i | 1.57633 | + | 0.495639i | ||||
\(502\) | 23.3832 | − | 25.9696i | 1.04364 | − | 1.15908i | ||||
\(503\) | −11.9885 | + | 8.71019i | −0.534543 | + | 0.388368i | −0.822054 | − | 0.569409i | \(-0.807172\pi\) |
0.287512 | + | 0.957777i | \(0.407172\pi\) | |||||||
\(504\) | 3.93113 | − | 0.0748696i | 0.175106 | − | 0.00333496i | ||||
\(505\) | 35.2383 | + | 16.1583i | 1.56808 | + | 0.719037i | ||||
\(506\) | −0.774358 | + | 7.36753i | −0.0344244 | + | 0.327527i | ||||
\(507\) | 5.66081 | − | 5.19546i | 0.251405 | − | 0.230738i | ||||
\(508\) | −4.38252 | + | 1.95123i | −0.194443 | + | 0.0865716i | ||||
\(509\) | −25.8484 | − | 28.7076i | −1.14571 | − | 1.27244i | −0.956897 | − | 0.290428i | \(-0.906202\pi\) |
−0.188814 | − | 0.982013i | \(-0.560464\pi\) | |||||||
\(510\) | 20.1951 | − | 2.09123i | 0.894255 | − | 0.0926013i | ||||
\(511\) | −3.76037 | + | 4.17631i | −0.166349 | + | 0.184749i | ||||
\(512\) | 4.71125 | − | 14.4997i | 0.208210 | − | 0.640804i | ||||
\(513\) | −29.5134 | + | 10.5305i | −1.30305 | + | 0.464934i | ||||
\(514\) | 0.0146551 | + | 0.0451039i | 0.000646411 | + | 0.00198945i | ||||
\(515\) | 12.3854 | + | 14.0650i | 0.545764 | + | 0.619780i | ||||
\(516\) | −1.15735 | − | 0.110512i | −0.0509497 | − | 0.00486503i | ||||
\(517\) | −5.55845 | + | 2.47478i | −0.244460 | + | 0.108841i | ||||
\(518\) | 3.29951 | − | 5.71492i | 0.144972 | − | 0.251099i | ||||
\(519\) | 5.70634 | − | 0.654750i | 0.250480 | − | 0.0287403i | ||||
\(520\) | −11.0893 | − | 12.5932i | −0.486299 | − | 0.552250i | ||||
\(521\) | −7.88351 | + | 5.72771i | −0.345383 | + | 0.250935i | −0.746929 | − | 0.664903i | \(-0.768473\pi\) |
0.401547 | + | 0.915839i | \(0.368473\pi\) | |||||||
\(522\) | −1.40680 | − | 2.33291i | −0.0615741 | − | 0.102109i | ||||
\(523\) | 9.64807 | + | 29.6937i | 0.421881 | + | 1.29842i | 0.905950 | + | 0.423386i | \(0.139158\pi\) |
−0.484069 | + | 0.875030i | \(0.660842\pi\) | |||||||
\(524\) | −1.45025 | − | 2.51190i | −0.0633543 | − | 0.109733i | ||||
\(525\) | 3.80508 | + | 2.26123i | 0.166067 | + | 0.0986883i | ||||
\(526\) | −17.7525 | + | 30.7483i | −0.774048 | + | 1.34069i | ||||
\(527\) | −2.99280 | − | 0.636139i | −0.130368 | − | 0.0277106i | ||||
\(528\) | −6.22216 | + | 2.08741i | −0.270785 | + | 0.0908427i | ||||
\(529\) | 9.94963 | + | 4.42986i | 0.432593 | + | 0.192603i | ||||
\(530\) | −14.7653 | − | 26.2401i | −0.641363 | − | 1.13980i | ||||
\(531\) | −15.8128 | + | 18.2491i | −0.686218 | + | 0.791943i | ||||
\(532\) | 0.969173 | 0.0420190 | ||||||||
\(533\) | 2.75440 | − | 26.2063i | 0.119306 | − | 1.13512i | ||||
\(534\) | 19.1150 | + | 41.8558i | 0.827185 | + | 1.81128i | ||||
\(535\) | −22.4653 | + | 15.9455i | −0.971260 | + | 0.689383i | ||||
\(536\) | 3.84076 | + | 0.816379i | 0.165896 | + | 0.0352622i | ||||
\(537\) | −5.63354 | − | 0.537929i | −0.243105 | − | 0.0232133i | ||||
\(538\) | −24.1278 | + | 5.12853i | −1.04022 | + | 0.221107i | ||||
\(539\) | 1.74182 | + | 5.36078i | 0.0750257 | + | 0.230905i | ||||
\(540\) | −3.62619 | + | 0.445437i | −0.156046 | + | 0.0191686i | ||||
\(541\) | −3.37778 | + | 10.3957i | −0.145222 | + | 0.446948i | −0.997039 | − | 0.0768912i | \(-0.975501\pi\) |
0.851817 | + | 0.523839i | \(0.175501\pi\) | |||||||
\(542\) | −1.61779 | + | 15.3922i | −0.0694900 | + | 0.661153i | ||||
\(543\) | −2.36475 | − | 10.6267i | −0.101481 | − | 0.456035i | ||||
\(544\) | −5.54992 | + | 2.47098i | −0.237951 | + | 0.105942i | ||||
\(545\) | −9.79332 | − | 31.3148i | −0.419500 | − | 1.34138i | ||||
\(546\) | −0.782674 | + | 3.86268i | −0.0334953 | + | 0.165307i | ||||
\(547\) | 14.0092 | + | 6.23729i | 0.598989 | + | 0.266687i | 0.683753 | − | 0.729714i | \(-0.260347\pi\) |
−0.0847633 | + | 0.996401i | \(0.527013\pi\) | |||||||
\(548\) | −0.905242 | − | 2.78605i | −0.0386700 | − | 0.119014i | ||||
\(549\) | 6.75291 | + | 4.71246i | 0.288207 | + | 0.201123i | ||||
\(550\) | −6.19277 | − | 1.46016i | −0.264061 | − | 0.0622613i | ||||
\(551\) | 1.79983 | + | 3.11740i | 0.0766755 | + | 0.132806i | ||||
\(552\) | 0.246190 | + | 25.8554i | 0.0104786 | + | 1.10048i | ||||
\(553\) | 0.403072 | + | 3.83497i | 0.0171404 | + | 0.163080i | ||||
\(554\) | 1.09452 | + | 10.4137i | 0.0465017 | + | 0.442434i | ||||
\(555\) | 13.4154 | − | 30.0074i | 0.569453 | − | 1.27374i | ||||
\(556\) | −0.191588 | + | 1.82283i | −0.00812513 | + | 0.0773054i | ||||
\(557\) | 22.3912 | 0.948745 | 0.474373 | − | 0.880324i | \(-0.342675\pi\) | ||||
0.474373 | + | 0.880324i | \(0.342675\pi\) | |||||||
\(558\) | 3.97926 | + | 0.766928i | 0.168456 | + | 0.0324666i | ||||
\(559\) | −1.93045 | + | 5.94132i | −0.0816494 | + | 0.251291i | ||||
\(560\) | −5.05180 | − | 1.13232i | −0.213478 | − | 0.0478492i | ||||
\(561\) | −4.34698 | − | 2.45484i | −0.183530 | − | 0.103644i | ||||
\(562\) | 16.4212 | + | 18.2376i | 0.692688 | + | 0.769308i | ||||
\(563\) | 8.98018 | + | 9.97350i | 0.378469 | + | 0.420333i | 0.902042 | − | 0.431648i | \(-0.142068\pi\) |
−0.523573 | + | 0.851981i | \(0.675401\pi\) | |||||||
\(564\) | 3.41189 | − | 2.01341i | 0.143667 | − | 0.0847800i | ||||
\(565\) | 27.1231 | + | 6.07941i | 1.14108 | + | 0.255763i | ||||
\(566\) | −7.88100 | + | 24.2552i | −0.331263 | + | 1.01952i | ||||
\(567\) | −3.20587 | − | 3.29872i | −0.134634 | − | 0.138533i | ||||
\(568\) | −12.8321 | −0.538421 | ||||||||
\(569\) | 1.22173 | − | 11.6240i | 0.0512175 | − | 0.487302i | −0.938605 | − | 0.344994i | \(-0.887881\pi\) |
0.989822 | − | 0.142308i | \(-0.0454523\pi\) | |||||||
\(570\) | 35.3436 | − | 3.65988i | 1.48038 | − | 0.153296i | ||||
\(571\) | 4.05203 | + | 38.5525i | 0.169572 | + | 1.61337i | 0.666450 | + | 0.745550i | \(0.267813\pi\) |
−0.496878 | + | 0.867820i | \(0.665520\pi\) | |||||||
\(572\) | −0.0804537 | − | 0.765466i | −0.00336394 | − | 0.0320057i | ||||
\(573\) | −16.7270 | − | 9.44616i | −0.698782 | − | 0.394619i | ||||
\(574\) | −3.50071 | − | 6.06341i | −0.146117 | − | 0.253082i | ||||
\(575\) | −15.1079 | + | 24.8803i | −0.630044 | + | 1.03758i | ||||
\(576\) | −17.3280 | + | 8.11374i | −0.722000 | + | 0.338073i | ||||
\(577\) | −10.4483 | − | 32.1567i | −0.434970 | − | 1.33870i | −0.893118 | − | 0.449823i | \(-0.851487\pi\) |
0.458148 | − | 0.888876i | \(-0.348513\pi\) | |||||||
\(578\) | 7.12445 | + | 3.17201i | 0.296338 | + | 0.131938i | ||||
\(579\) | −14.7959 | + | 4.96372i | −0.614896 | + | 0.206285i | ||||
\(580\) | 0.125268 | + | 0.400554i | 0.00520149 | + | 0.0166321i | ||||
\(581\) | −0.209945 | + | 0.0934735i | −0.00870998 | + | 0.00387793i | ||||
\(582\) | 42.5457 | + | 13.3774i | 1.76358 | + | 0.554513i | ||||
\(583\) | −0.773864 | + | 7.36283i | −0.0320502 | + | 0.304937i | ||||
\(584\) | 8.71289 | − | 26.8155i | 0.360542 | − | 1.10963i | ||||
\(585\) | −1.89603 | + | 19.5392i | −0.0783911 | + | 0.807846i | ||||
\(586\) | −11.0331 | − | 33.9565i | −0.455775 | − | 1.40273i | ||||
\(587\) | −14.4709 | + | 3.07588i | −0.597277 | + | 0.126955i | −0.496623 | − | 0.867966i | \(-0.665427\pi\) |
−0.100654 | + | 0.994921i | \(0.532094\pi\) | |||||||
\(588\) | −1.52462 | − | 3.33843i | −0.0628741 | − | 0.137675i | ||||
\(589\) | −5.23772 | − | 1.11331i | −0.215816 | − | 0.0458732i | ||||
\(590\) | 22.3283 | − | 15.8482i | 0.919240 | − | 0.652460i | ||||
\(591\) | −46.8462 | − | 4.47319i | −1.92699 | − | 0.184003i | ||||
\(592\) | −4.01868 | + | 38.2352i | −0.165167 | + | 1.57146i | ||||
\(593\) | 2.30607 | 0.0946989 | 0.0473495 | − | 0.998878i | \(-0.484923\pi\) | ||||
0.0473495 | + | 0.998878i | \(0.484923\pi\) | |||||||
\(594\) | 5.81842 | + | 3.14120i | 0.238733 | + | 0.128885i | ||||
\(595\) | −1.93122 | − | 3.43205i | −0.0791721 | − | 0.140701i | ||||
\(596\) | 0.539348 | + | 0.240133i | 0.0220925 | + | 0.00983624i | ||||
\(597\) | 20.3477 | + | 17.9733i | 0.832778 | + | 0.735600i | ||||
\(598\) | −25.3516 | − | 5.38866i | −1.03671 | − | 0.220359i | ||||
\(599\) | −4.41108 | + | 7.64022i | −0.180232 | + | 0.312171i | −0.941959 | − | 0.335727i | \(-0.891018\pi\) |
0.761727 | + | 0.647898i | \(0.224352\pi\) | |||||||
\(600\) | −22.0548 | − | 2.59926i | −0.900383 | − | 0.106114i | ||||
\(601\) | −15.5663 | − | 26.9616i | −0.634961 | − | 1.09978i | −0.986523 | − | 0.163620i | \(-0.947683\pi\) |
0.351562 | − | 0.936165i | \(-0.385651\pi\) | |||||||
\(602\) | 0.512925 | + | 1.57862i | 0.0209052 | + | 0.0643397i | ||||
\(603\) | −2.37221 | − | 3.93384i | −0.0966038 | − | 0.160198i | ||||
\(604\) | −0.522119 | + | 0.379342i | −0.0212447 | + | 0.0154352i | ||||
\(605\) | −15.2214 | − | 17.2857i | −0.618838 | − | 0.702763i | ||||
\(606\) | 27.2024 | + | 36.7009i | 1.10502 | + | 1.49087i | ||||
\(607\) | −3.13347 | + | 5.42734i | −0.127184 | + | 0.220289i | −0.922584 | − | 0.385795i | \(-0.873927\pi\) |
0.795401 | + | 0.606084i | \(0.207260\pi\) | |||||||
\(608\) | −9.71295 | + | 4.32448i | −0.393912 | + | 0.175381i | ||||
\(609\) | −0.306507 | + | 0.430430i | −0.0124203 | + | 0.0174419i | ||||
\(610\) | −6.17090 | − | 7.00778i | −0.249852 | − | 0.283737i | ||||
\(611\) | −6.57809 | − | 20.2453i | −0.266121 | − | 0.819037i | ||||
\(612\) | 2.99412 | + | 1.26532i | 0.121030 | + | 0.0511474i | ||||
\(613\) | −8.53626 | + | 26.2719i | −0.344776 | + | 1.06111i | 0.616927 | + | 0.787020i | \(0.288377\pi\) |
−0.961704 | + | 0.274092i | \(0.911623\pi\) | |||||||
\(614\) | 9.07808 | − | 10.0822i | 0.366361 | − | 0.406886i | ||||
\(615\) | −20.4551 | − | 28.2452i | −0.824829 | − | 1.13895i | ||||
\(616\) | 0.733544 | + | 0.814683i | 0.0295553 | + | 0.0328245i | ||||
\(617\) | 3.02843 | − | 1.34834i | 0.121920 | − | 0.0542822i | −0.344870 | − | 0.938650i | \(-0.612077\pi\) |
0.466790 | + | 0.884368i | \(0.345410\pi\) | |||||||
\(618\) | 4.79712 | + | 21.5573i | 0.192968 | + | 0.867162i | ||||
\(619\) | 2.72043 | − | 25.8832i | 0.109343 | − | 1.04033i | −0.792973 | − | 0.609257i | \(-0.791468\pi\) |
0.902316 | − | 0.431075i | \(-0.141866\pi\) | |||||||
\(620\) | −0.567491 | − | 0.260220i | −0.0227910 | − | 0.0104507i | ||||
\(621\) | 21.8929 | − | 20.8750i | 0.878530 | − | 0.837685i | ||||
\(622\) | 25.1555 | − | 18.2766i | 1.00864 | − | 0.732823i | ||||
\(623\) | 5.97206 | − | 6.63265i | 0.239266 | − | 0.265731i | ||||
\(624\) | −4.98753 | − | 22.4130i | −0.199661 | − | 0.897237i | ||||
\(625\) | −19.5559 | − | 15.5746i | −0.782236 | − | 0.622982i | ||||
\(626\) | −17.6057 | + | 30.4939i | −0.703664 | + | 1.21878i | ||||
\(627\) | −7.60768 | − | 4.29624i | −0.303822 | − | 0.171575i | ||||
\(628\) | 1.71970 | + | 0.765658i | 0.0686234 | + | 0.0305531i | ||||
\(629\) | −23.6593 | + | 17.1895i | −0.943358 | + | 0.685390i | ||||
\(630\) | 2.64398 | + | 4.49620i | 0.105339 | + | 0.179133i | ||||
\(631\) | −17.6953 | − | 12.8564i | −0.704439 | − | 0.511805i | 0.176936 | − | 0.984222i | \(-0.443381\pi\) |
−0.881375 | + | 0.472417i | \(0.843381\pi\) | |||||||
\(632\) | −9.67339 | − | 16.7548i | −0.384787 | − | 0.666470i | ||||
\(633\) | 17.2813 | + | 23.3156i | 0.686872 | + | 0.926713i | ||||
\(634\) | −10.9034 | − | 12.1094i | −0.433028 | − | 0.480927i | ||||
\(635\) | 27.3761 | + | 20.3562i | 1.08639 | + | 0.807810i | ||||
\(636\) | −0.0458971 | − | 4.82021i | −0.00181994 | − | 0.191134i | ||||
\(637\) | −19.2895 | + | 4.10011i | −0.764277 | + | 0.162452i | ||||
\(638\) | 0.234720 | − | 0.722393i | 0.00929264 | − | 0.0285998i | ||||
\(639\) | 10.2559 | + | 10.9631i | 0.405716 | + | 0.433693i | ||||
\(640\) | 29.0005 | − | 5.82985i | 1.14635 | − | 0.230445i | ||||
\(641\) | 31.1679 | − | 6.62495i | 1.23106 | − | 0.261670i | 0.453945 | − | 0.891030i | \(-0.350016\pi\) |
0.777114 | + | 0.629360i | \(0.216683\pi\) | |||||||
\(642\) | −32.2526 | + | 3.70069i | −1.27291 | + | 0.146054i | ||||
\(643\) | 6.74775 | − | 11.6875i | 0.266105 | − | 0.460908i | −0.701747 | − | 0.712426i | \(-0.747596\pi\) |
0.967853 | + | 0.251518i | \(0.0809297\pi\) | |||||||
\(644\) | −0.854705 | + | 0.380539i | −0.0336801 | + | 0.0149953i | ||||
\(645\) | 3.35119 | + | 7.55812i | 0.131953 | + | 0.297601i | ||||
\(646\) | −28.8806 | − | 12.8585i | −1.13629 | − | 0.505910i | ||||
\(647\) | −20.1643 | + | 14.6502i | −0.792741 | + | 0.575960i | −0.908776 | − | 0.417285i | \(-0.862982\pi\) |
0.116035 | + | 0.993245i | \(0.462982\pi\) | |||||||
\(648\) | 21.4255 | + | 8.57733i | 0.841674 | + | 0.336949i | ||||
\(649\) | −6.73259 | −0.264277 | ||||||||
\(650\) | 7.34524 | − | 21.0134i | 0.288104 | − | 0.824212i | ||||
\(651\) | −0.170741 | − | 0.767275i | −0.00669186 | − | 0.0300719i | ||||
\(652\) | −5.20215 | − | 1.10575i | −0.203732 | − | 0.0433046i | ||||
\(653\) | −2.99391 | − | 28.4852i | −0.117161 | − | 1.11471i | −0.882248 | − | 0.470784i | \(-0.843971\pi\) |
0.765088 | − | 0.643926i | \(-0.222696\pi\) | |||||||
\(654\) | 7.67831 | − | 37.8942i | 0.300246 | − | 1.48178i | ||||
\(655\) | −10.5100 | + | 17.7478i | −0.410661 | + | 0.693462i | ||||
\(656\) | 32.9999 | + | 23.9759i | 1.28843 | + | 0.936100i | ||||
\(657\) | −29.8735 | + | 13.9881i | −1.16548 | + | 0.545729i | ||||
\(658\) | −4.57583 | − | 3.32454i | −0.178384 | − | 0.129604i | ||||
\(659\) | −8.49965 | + | 1.80666i | −0.331100 | + | 0.0703774i | −0.370462 | − | 0.928848i | \(-0.620801\pi\) |
0.0393625 | + | 0.999225i | \(0.487467\pi\) | |||||||
\(660\) | −0.755951 | − | 0.682767i | −0.0294254 | − | 0.0265767i | ||||
\(661\) | 30.0665 | + | 6.39082i | 1.16945 | + | 0.248574i | 0.751398 | − | 0.659849i | \(-0.229380\pi\) |
0.418052 | + | 0.908423i | \(0.362713\pi\) | |||||||
\(662\) | −23.9276 | − | 26.5743i | −0.929974 | − | 1.03284i | ||||
\(663\) | 10.1312 | − | 14.2273i | 0.393462 | − | 0.552542i | ||||
\(664\) | 0.771519 | − | 0.856859i | 0.0299407 | − | 0.0332526i | ||||
\(665\) | −3.37984 | − | 6.00646i | −0.131064 | − | 0.232921i | ||||
\(666\) | 30.8974 | − | 23.3599i | 1.19725 | − | 0.905179i | ||||
\(667\) | −2.81128 | − | 2.04252i | −0.108853 | − | 0.0790866i | ||||
\(668\) | −3.35725 | − | 5.81492i | −0.129896 | − | 0.224986i | ||||
\(669\) | 17.6491 | − | 2.02507i | 0.682353 | − | 0.0782938i | ||||
\(670\) | 1.55479 | + | 4.97154i | 0.0600667 | + | 0.192067i | ||||
\(671\) | 0.239993 | + | 2.28338i | 0.00926482 | + | 0.0881489i | ||||
\(672\) | −1.16974 | − | 1.03325i | −0.0451239 | − | 0.0398583i | ||||
\(673\) | −16.5978 | + | 18.4338i | −0.639799 | + | 0.710569i | −0.972615 | − | 0.232423i | \(-0.925335\pi\) |
0.332816 | + | 0.942992i | \(0.392001\pi\) | |||||||
\(674\) | 1.89434 | 0.0729673 | ||||||||
\(675\) | 15.4063 | + | 20.9200i | 0.592990 | + | 0.805209i | ||||
\(676\) | −1.39489 | −0.0536495 | ||||||||
\(677\) | −4.85958 | + | 5.39711i | −0.186769 | + | 0.207428i | −0.829256 | − | 0.558868i | \(-0.811236\pi\) |
0.642488 | + | 0.766296i | \(0.277902\pi\) | |||||||
\(678\) | 24.5495 | + | 21.6848i | 0.942819 | + | 0.832801i | ||||
\(679\) | −0.904244 | − | 8.60331i | −0.0347017 | − | 0.330165i | ||||
\(680\) | 15.8553 | + | 11.7896i | 0.608023 | + | 0.452111i | ||||
\(681\) | −10.1344 | + | 1.16283i | −0.388350 | + | 0.0445596i | ||||
\(682\) | 0.564953 | + | 0.978527i | 0.0216332 | + | 0.0374697i | ||||
\(683\) | −38.6994 | − | 28.1168i | −1.48079 | − | 1.07586i | −0.977301 | − | 0.211857i | \(-0.932049\pi\) |
−0.503491 | − | 0.864001i | \(-0.667951\pi\) | |||||||
\(684\) | 5.24004 | + | 2.21444i | 0.200358 | + | 0.0846712i | ||||
\(685\) | −14.1097 | + | 15.3262i | −0.539104 | + | 0.585582i | ||||
\(686\) | −7.14807 | + | 7.93873i | −0.272914 | + | 0.303102i | ||||
\(687\) | 14.2853 | − | 20.0610i | 0.545018 | − | 0.765373i | ||||
\(688\) | −6.47070 | − | 7.18644i | −0.246693 | − | 0.273980i | ||||
\(689\) | −25.3355 | − | 5.38522i | −0.965204 | − | 0.205161i | ||||
\(690\) | −29.7322 | + | 17.1051i | −1.13189 | + | 0.651178i | ||||
\(691\) | 39.4507 | − | 8.38550i | 1.50077 | − | 0.319000i | 0.617019 | − | 0.786948i | \(-0.288340\pi\) |
0.883756 | + | 0.467949i | \(0.155007\pi\) | |||||||
\(692\) | −0.843588 | − | 0.612902i | −0.0320684 | − | 0.0232991i | ||||
\(693\) | 0.109749 | − | 1.27783i | 0.00416902 | − | 0.0485408i | ||||
\(694\) | −40.7259 | − | 29.5891i | −1.54593 | − | 1.12319i | ||||
\(695\) | 11.9652 | − | 5.16948i | 0.453865 | − | 0.196089i | ||||
\(696\) | 0.526486 | − | 2.59833i | 0.0199564 | − | 0.0984894i | ||||
\(697\) | 3.24329 | + | 30.8578i | 0.122848 | + | 1.16882i | ||||
\(698\) | 22.9750 | + | 4.88349i | 0.869617 | + | 0.184843i | ||||
\(699\) | 1.92471 | + | 8.64926i | 0.0727992 | + | 0.327145i | ||||
\(700\) | −0.231350 | − | 0.769525i | −0.00874421 | − | 0.0290853i | ||||
\(701\) | −6.65878 | −0.251498 | −0.125749 | − | 0.992062i | \(-0.540133\pi\) | ||||
−0.125749 | + | 0.992062i | \(0.540133\pi\) | |||||||
\(702\) | −13.0574 | + | 19.0961i | −0.492820 | + | 0.720734i | ||||
\(703\) | −41.4063 | + | 30.0834i | −1.56167 | + | 1.13462i | ||||
\(704\) | −4.87355 | − | 2.16984i | −0.183679 | − | 0.0817791i | ||||
\(705\) | −24.3766 | − | 14.1238i | −0.918075 | − | 0.531933i | ||||
\(706\) | −34.8667 | + | 15.5237i | −1.31223 | + | 0.584241i | ||||
\(707\) | 4.43044 | − | 7.67375i | 0.166624 | − | 0.288601i | ||||
\(708\) | 4.35509 | − | 0.499707i | 0.163674 | − | 0.0187801i | ||||
\(709\) | −21.9439 | + | 4.66432i | −0.824120 | + | 0.175172i | −0.600623 | − | 0.799533i | \(-0.705081\pi\) |
−0.223497 | + | 0.974705i | \(0.571747\pi\) | |||||||
\(710\) | −8.34797 | − | 14.8356i | −0.313294 | − | 0.556769i | ||||
\(711\) | −6.58314 | + | 21.6555i | −0.246887 | + | 0.812147i | ||||
\(712\) | −13.8375 | + | 42.5873i | −0.518581 | + | 1.59603i | ||||
\(713\) | 5.05623 | − | 1.07473i | 0.189357 | − | 0.0402491i | ||||
\(714\) | −0.0441859 | − | 4.64050i | −0.00165362 | − | 0.173666i | ||||
\(715\) | −4.46342 | + | 3.16805i | −0.166922 | + | 0.118478i | ||||
\(716\) | 0.687445 | + | 0.763485i | 0.0256910 | + | 0.0285328i | ||||
\(717\) | 5.74928 | + | 7.75680i | 0.214711 | + | 0.289683i | ||||
\(718\) | 1.53756 | + | 2.66313i | 0.0573812 | + | 0.0993871i | ||||
\(719\) | 1.49516 | + | 1.08630i | 0.0557602 | + | 0.0405122i | 0.615316 | − | 0.788280i | \(-0.289028\pi\) |
−0.559556 | + | 0.828793i | \(0.689028\pi\) | |||||||
\(720\) | −24.7264 | − | 17.6649i | −0.921499 | − | 0.658330i | ||||
\(721\) | 3.46554 | − | 2.51786i | 0.129063 | − | 0.0937700i | ||||
\(722\) | −24.1379 | − | 10.7469i | −0.898320 | − | 0.399958i | ||||
\(723\) | −35.1431 | − | 19.8461i | −1.30698 | − | 0.738085i | ||||
\(724\) | −0.988185 | + | 1.71159i | −0.0367256 | + | 0.0636106i | ||||
\(725\) | 2.04559 | − | 2.17322i | 0.0759712 | − | 0.0807114i | ||||
\(726\) | −5.89558 | − | 26.4936i | −0.218805 | − | 0.983268i | ||||
\(727\) | −1.70712 | + | 1.89594i | −0.0633134 | + | 0.0703167i | −0.773969 | − | 0.633223i | \(-0.781732\pi\) |
0.710656 | + | 0.703540i | \(0.248398\pi\) | |||||||
\(728\) | −3.10290 | + | 2.25439i | −0.115001 | + | 0.0835531i | ||||
\(729\) | −9.79604 | − | 25.1602i | −0.362816 | − | 0.931861i | ||||
\(730\) | 36.6706 | − | 7.37173i | 1.35724 | − | 0.272840i | ||||
\(731\) | 0.768901 | − | 7.31560i | 0.0284388 | − | 0.270577i | ||||
\(732\) | −0.324721 | − | 1.45923i | −0.0120020 | − | 0.0539347i | ||||
\(733\) | −10.4629 | + | 4.65840i | −0.386458 | + | 0.172062i | −0.590763 | − | 0.806845i | \(-0.701173\pi\) |
0.204305 | + | 0.978907i | \(0.434507\pi\) | |||||||
\(734\) | −35.6594 | − | 39.6037i | −1.31621 | − | 1.46180i | ||||
\(735\) | −15.3731 | + | 21.0911i | −0.567046 | + | 0.777956i | ||||
\(736\) | 6.86778 | − | 7.62744i | 0.253150 | − | 0.281151i | ||||
\(737\) | 0.395794 | − | 1.21813i | 0.0145792 | − | 0.0448703i | ||||
\(738\) | −5.07320 | − | 40.7818i | −0.186747 | − | 1.50120i | ||||
\(739\) | 14.8777 | + | 45.7888i | 0.547285 | + | 1.68437i | 0.715495 | + | 0.698618i | \(0.246201\pi\) |
−0.168210 | + | 0.985751i | \(0.553799\pi\) | |||||||
\(740\) | −5.47781 | + | 2.36665i | −0.201368 | + | 0.0869998i | ||||
\(741\) | 17.7306 | − | 24.8993i | 0.651351 | − | 0.914698i | ||||
\(742\) | −6.28708 | + | 2.79919i | −0.230806 | + | 0.102761i | ||||
\(743\) | 3.67273 | − | 6.36135i | 0.134739 | − | 0.233375i | −0.790759 | − | 0.612128i | \(-0.790314\pi\) |
0.925498 | + | 0.378753i | \(0.123647\pi\) | |||||||
\(744\) | 2.34834 | + | 3.16833i | 0.0860942 | + | 0.116156i | ||||
\(745\) | −0.392660 | − | 4.18004i | −0.0143860 | − | 0.153145i | ||||
\(746\) | 16.9035 | − | 12.2811i | 0.618880 | − | 0.449642i | ||||
\(747\) | −1.34869 | + | 0.0256862i | −0.0493458 | + | 0.000939808i | ||||
\(748\) | 0.280061 | + | 0.861940i | 0.0102401 | + | 0.0315156i | ||||
\(749\) | 3.14846 | + | 5.45329i | 0.115042 | + | 0.199259i | ||||
\(750\) | −11.3428 | − | 27.1893i | −0.414180 | − | 0.992811i | ||||
\(751\) | 7.69305 | − | 13.3248i | 0.280724 | − | 0.486227i | −0.690840 | − | 0.723008i | \(-0.742759\pi\) |
0.971563 | + | 0.236781i | \(0.0760923\pi\) | |||||||
\(752\) | 32.2319 | + | 6.85110i | 1.17538 | + | 0.249834i | ||||
\(753\) | −29.8189 | − | 26.3393i | −1.08666 | − | 0.959857i | ||||
\(754\) | 2.42768 | + | 1.08087i | 0.0884109 | + | 0.0393631i | ||||
\(755\) | 4.17178 | + | 1.91295i | 0.151827 | + | 0.0696193i | ||||
\(756\) | 0.0238502 | + | 0.834732i | 0.000867424 | + | 0.0303589i | ||||
\(757\) | −28.4272 | −1.03320 | −0.516602 | − | 0.856226i | \(-0.672803\pi\) | ||||
−0.516602 | + | 0.856226i | \(0.672803\pi\) | |||||||
\(758\) | −4.09757 | + | 38.9858i | −0.148831 | + | 1.41603i | ||||
\(759\) | 8.39604 | + | 0.801711i | 0.304757 | + | 0.0291003i | ||||
\(760\) | 27.7485 | + | 20.6331i | 1.00654 | + | 0.748440i | ||||
\(761\) | 33.6491 | + | 7.15233i | 1.21978 | + | 0.259272i | 0.772437 | − | 0.635091i | \(-0.219038\pi\) |
0.447341 | + | 0.894363i | \(0.352371\pi\) | |||||||
\(762\) | 16.7004 | + | 36.5685i | 0.604990 | + | 1.32474i | ||||
\(763\) | −7.33564 | + | 1.55924i | −0.265568 | + | 0.0564482i | ||||
\(764\) | 1.07767 | + | 3.31672i | 0.0389886 | + | 0.119995i | ||||
\(765\) | −2.59971 | − | 22.9687i | −0.0939926 | − | 0.830435i | ||||
\(766\) | −7.77667 | + | 23.9341i | −0.280983 | + | 0.864775i | ||||
\(767\) | 2.46213 | − | 23.4256i | 0.0889023 | − | 0.845849i | ||||
\(768\) | 12.1771 | + | 3.82877i | 0.439402 | + | 0.138159i | ||||
\(769\) | 3.95776 | − | 1.76211i | 0.142720 | − | 0.0635432i | −0.334134 | − | 0.942526i | \(-0.608444\pi\) |
0.476854 | + | 0.878982i | \(0.341777\pi\) | |||||||
\(770\) | −0.464672 | + | 1.37807i | −0.0167456 | + | 0.0496623i | ||||
\(771\) | 0.0511902 | − | 0.0171732i | 0.00184357 | − | 0.000618479i | ||||
\(772\) | 2.58824 | + | 1.15236i | 0.0931529 | + | 0.0414744i | ||||
\(773\) | −8.09794 | − | 24.9229i | −0.291263 | − | 0.896414i | −0.984451 | − | 0.175658i | \(-0.943795\pi\) |
0.693189 | − | 0.720756i | \(-0.256205\pi\) | |||||||
\(774\) | −0.833714 | + | 9.70710i | −0.0299672 | + | 0.348915i | ||||
\(775\) | 0.366318 | + | 4.42451i | 0.0131585 | + | 0.158933i | ||||
\(776\) | 21.7011 | + | 37.5874i | 0.779024 | + | 1.34931i | ||||
\(777\) | −6.54198 | − | 3.69441i | −0.234692 | − | 0.132536i | ||||
\(778\) | −2.47699 | − | 23.5670i | −0.0888044 | − | 0.844917i | ||||
\(779\) | 5.67610 | + | 54.0045i | 0.203368 | + | 1.93491i | ||||
\(780\) | 2.65210 | − | 2.38059i | 0.0949603 | − | 0.0852389i | ||||
\(781\) | −0.437526 | + | 4.16279i | −0.0156559 | + | 0.148956i | ||||
\(782\) | 30.5183 | 1.09133 | ||||||||
\(783\) | −2.64067 | + | 1.62688i | −0.0943699 | + | 0.0581400i | ||||
\(784\) | 9.43327 | − | 29.0326i | 0.336902 | − | 1.03688i | ||||
\(785\) | −1.25199 | − | 13.3280i | −0.0446853 | − | 0.475695i | ||||
\(786\) | −20.9332 | + | 12.3530i | −0.746664 | + | 0.440618i | ||||
\(787\) | −26.2581 | − | 29.1626i | −0.936000 | − | 1.03953i | −0.999137 | − | 0.0415287i | \(-0.986777\pi\) |
0.0631371 | − | 0.998005i | \(-0.479889\pi\) | |||||||
\(788\) | 5.71651 | + | 6.34882i | 0.203642 | + | 0.226167i | ||||
\(789\) | 35.1982 | + | 19.8773i | 1.25309 | + | 0.707649i | ||||
\(790\) | 13.0777 | − | 22.0837i | 0.465284 | − | 0.785702i | ||||
\(791\) | 1.96330 | − | 6.04243i | 0.0698071 | − | 0.214844i | ||||
\(792\) | 2.10461 | + | 6.08081i | 0.0747840 | + | 0.216072i | ||||
\(793\) | −8.03263 | −0.285247 | ||||||||
\(794\) | −0.499344 | + | 4.75094i | −0.0177210 | + | 0.168604i | ||||
\(795\) | −29.7132 | + | 17.0941i | −1.05382 | + | 0.606267i | ||||
\(796\) | −0.515186 | − | 4.90167i | −0.0182603 | − | 0.173735i | ||||
\(797\) | 3.03682 | + | 28.8934i | 0.107570 | + | 1.02346i | 0.906549 | + | 0.422100i | \(0.138707\pi\) |
−0.798980 | + | 0.601358i | \(0.794627\pi\) | |||||||
\(798\) | −0.0773302 | − | 8.12138i | −0.00273746 | − | 0.287494i | ||||
\(799\) | 12.5328 | + | 21.7074i | 0.443377 | + | 0.767952i | ||||
\(800\) | 5.75221 | + | 6.67980i | 0.203371 | + | 0.236167i | ||||
\(801\) | 47.4439 | − | 22.2154i | 1.67635 | − | 0.784941i | ||||
\(802\) | 0.971332 | + | 2.98945i | 0.0342989 | + | 0.105561i | ||||
\(803\) | −8.40201 | − | 3.74082i | −0.296501 | − | 0.132011i | ||||
\(804\) | −0.165614 | + | 0.817343i | −0.00584075 | + | 0.0288255i | ||||
\(805\) | 5.33904 | + | 3.96998i | 0.188177 | + | 0.139923i | ||||
\(806\) | −3.61133 | + | 1.60787i | −0.127204 | + | 0.0566347i | ||||
\(807\) | 6.10018 | + | 27.4130i | 0.214737 | + | 0.964983i | ||||
\(808\) | −4.64699 | + | 44.2132i | −0.163481 | + | 1.55541i | ||||
\(809\) | 2.52965 | − | 7.78546i | 0.0889378 | − | 0.273722i | −0.896689 | − | 0.442662i | \(-0.854034\pi\) |
0.985626 | + | 0.168939i | \(0.0540342\pi\) | |||||||
\(810\) | 4.02196 | + | 30.3508i | 0.141317 | + | 1.06642i | ||||
\(811\) | −10.9116 | − | 33.5823i | −0.383157 | − | 1.17923i | −0.937809 | − | 0.347152i | \(-0.887149\pi\) |
0.554652 | − | 0.832082i | \(-0.312851\pi\) | |||||||
\(812\) | 0.0938318 | − | 0.0199446i | 0.00329285 | − | 0.000699917i | ||||
\(813\) | 17.5410 | + | 1.67493i | 0.615189 | + | 0.0587425i | ||||
\(814\) | 10.5637 | + | 2.24539i | 0.370259 | + | 0.0787010i | ||||
\(815\) | 11.2888 | + | 36.0965i | 0.395428 | + | 1.26441i | ||||
\(816\) | 11.2315 | + | 24.5934i | 0.393181 | + | 0.860942i | ||||
\(817\) | 1.34566 | − | 12.8031i | 0.0470786 | − | 0.447923i | ||||
\(818\) | 46.1490 | 1.61356 | ||||||||
\(819\) | 4.40599 | + | 0.849171i | 0.153958 | + | 0.0296724i | ||||
\(820\) | −0.731359 | + | 6.28869i | −0.0255402 | + | 0.219611i | ||||
\(821\) | 23.7180 | + | 10.5599i | 0.827763 | + | 0.368544i | 0.776481 | − | 0.630141i | \(-0.217003\pi\) |
0.0512816 | + | 0.998684i | \(0.483669\pi\) | |||||||
\(822\) | −23.2740 | + | 7.80795i | −0.811775 | + | 0.272334i | ||||
\(823\) | 36.8545 | + | 7.83366i | 1.28467 | + | 0.273064i | 0.799133 | − | 0.601154i | \(-0.205292\pi\) |
0.485533 | + | 0.874218i | \(0.338625\pi\) | |||||||
\(824\) | −10.7459 | + | 18.6125i | −0.374352 | + | 0.648396i | ||||
\(825\) | −1.59520 | + | 7.06606i | −0.0555378 | + | 0.246009i | ||||
\(826\) | −3.12925 | − | 5.42003i | −0.108881 | − | 0.188587i | ||||
\(827\) | 5.57826 | + | 17.1681i | 0.193975 | + | 0.596994i | 0.999987 | + | 0.00509483i | \(0.00162174\pi\) |
−0.806012 | + | 0.591899i | \(0.798378\pi\) | |||||||
\(828\) | −5.49062 | + | 0.104571i | −0.190812 | + | 0.00363408i | ||||
\(829\) | 38.5194 | − | 27.9860i | 1.33783 | − | 0.971993i | 0.338313 | − | 0.941034i | \(-0.390144\pi\) |
0.999521 | − | 0.0309591i | \(-0.00985618\pi\) | |||||||
\(830\) | 1.49256 | + | 0.334545i | 0.0518075 | + | 0.0116122i | ||||
\(831\) | 11.8437 | − | 1.35895i | 0.410853 | − | 0.0471416i | ||||
\(832\) | 9.33210 | − | 16.1637i | 0.323532 | − | 0.560375i | ||||
\(833\) | 21.2132 | − | 9.44471i | 0.734993 | − | 0.327240i | ||||
\(834\) | 15.2901 | + | 1.46000i | 0.529452 | + | 0.0505558i | ||||
\(835\) | −24.3302 | + | 41.0852i | −0.841982 | + | 1.42181i | ||||
\(836\) | 0.490137 | + | 1.50849i | 0.0169518 | + | 0.0521721i | ||||
\(837\) | 0.829981 | − | 4.53855i | 0.0286883 | − | 0.156875i | ||||
\(838\) | −11.1747 | + | 34.3923i | −0.386025 | + | 1.18806i | ||||
\(839\) | −20.1621 | + | 22.3923i | −0.696075 | + | 0.773069i | −0.982746 | − | 0.184960i | \(-0.940785\pi\) |
0.286672 | + | 0.958029i | \(0.407451\pi\) | |||||||
\(840\) | −1.06298 | + | 4.96343i | −0.0366764 | + | 0.171255i | ||||
\(841\) | −19.1664 | − | 21.2864i | −0.660910 | − | 0.734015i | ||||
\(842\) | −15.0867 | + | 6.71705i | −0.519923 | + | 0.231485i | ||||
\(843\) | 20.5848 | − | 18.8926i | 0.708979 | − | 0.650697i | ||||
\(844\) | 0.550723 | − | 5.23978i | 0.0189567 | − | 0.180361i | ||||
\(845\) | 4.86444 | + | 8.64483i | 0.167342 | + | 0.297391i | ||||
\(846\) | −17.1440 | − | 28.4300i | −0.589424 | − | 0.977443i | ||||
\(847\) | −4.25909 | + | 3.09441i | −0.146344 | + | 0.106325i | ||||
\(848\) | 26.8287 | − | 29.7962i | 0.921300 | − | 1.02321i | ||||
\(849\) | 27.6990 | + | 8.70928i | 0.950629 | + | 0.298902i | ||||
\(850\) | −3.31560 | + | 26.0007i | −0.113724 | + | 0.891815i | ||||
\(851\) | 24.7038 | − | 42.7882i | 0.846835 | − | 1.46676i | ||||
\(852\) | −0.0259492 | − | 2.72524i | −0.000889006 | − | 0.0933653i | ||||
\(853\) | −6.34609 | − | 2.82546i | −0.217286 | − | 0.0967420i | 0.295207 | − | 0.955433i | \(-0.404611\pi\) |
−0.512493 | + | 0.858691i | \(0.671278\pi\) | |||||||
\(854\) | −1.72667 | + | 1.25450i | −0.0590855 | + | 0.0429282i | ||||
\(855\) | −4.54977 | − | 40.1977i | −0.155599 | − | 1.37473i | ||||
\(856\) | −25.5591 | − | 18.5698i | −0.873593 | − | 0.634702i | ||||
\(857\) | −16.5062 | − | 28.5897i | −0.563843 | − | 0.976604i | −0.997156 | − | 0.0753610i | \(-0.975989\pi\) |
0.433314 | − | 0.901243i | \(-0.357344\pi\) | |||||||
\(858\) | −6.40795 | + | 0.735254i | −0.218764 | + | 0.0251012i | ||||
\(859\) | 16.1866 | + | 17.9770i | 0.552279 | + | 0.613368i | 0.953051 | − | 0.302810i | \(-0.0979246\pi\) |
−0.400772 | + | 0.916178i | \(0.631258\pi\) | |||||||
\(860\) | 0.479570 | − | 1.42226i | 0.0163532 | − | 0.0484986i | ||||
\(861\) | −6.86501 | + | 4.05115i | −0.233959 | + | 0.138063i | ||||
\(862\) | 11.1833 | − | 2.37709i | 0.380906 | − | 0.0809640i | ||||
\(863\) | 10.3560 | − | 31.8723i | 0.352521 | − | 1.08495i | −0.604912 | − | 0.796292i | \(-0.706792\pi\) |
0.957433 | − | 0.288655i | \(-0.0932081\pi\) | |||||||
\(864\) | −3.96363 | − | 8.25917i | −0.134845 | − | 0.280983i | ||||
\(865\) | −0.856595 | + | 7.36555i | −0.0291251 | + | 0.250436i | ||||
\(866\) | 7.19854 | − | 1.53010i | 0.244616 | − | 0.0519948i | ||||
\(867\) | 3.53398 | − | 8.14529i | 0.120020 | − | 0.276629i | ||||
\(868\) | −0.0713495 | + | 0.123581i | −0.00242176 | + | 0.00419461i | ||||
\(869\) | −5.76517 | + | 2.56682i | −0.195570 | + | 0.0870734i | ||||
\(870\) | 3.34653 | − | 1.08167i | 0.113458 | − | 0.0366721i | ||||
\(871\) | 4.09365 | + | 1.82261i | 0.138708 | + | 0.0617568i | ||||
\(872\) | 30.4405 | − | 22.1163i | 1.03085 | − | 0.748953i | ||||
\(873\) | 14.7685 | − | 48.5817i | 0.499838 | − | 1.64424i | ||||
\(874\) | 53.4103 | 1.80663 | ||||||||
\(875\) | −3.96234 | + | 4.11739i | −0.133952 | + | 0.139193i | ||||
\(876\) | 5.71264 | + | 1.79620i | 0.193012 | + | 0.0606879i | ||||
\(877\) | 42.1754 | + | 8.96466i | 1.42416 | + | 0.302715i | 0.854623 | − | 0.519249i | \(-0.173788\pi\) |
0.569539 | + | 0.821964i | \(0.307122\pi\) | |||||||
\(878\) | 5.07753 | + | 48.3095i | 0.171358 | + | 1.63037i | ||||
\(879\) | −38.5386 | + | 12.9289i | −1.29987 | + | 0.436081i | ||||
\(880\) | −0.792416 | − | 8.43562i | −0.0267123 | − | 0.284365i | ||||
\(881\) | 1.01683 | + | 0.738771i | 0.0342579 | + | 0.0248898i | 0.604782 | − | 0.796391i | \(-0.293260\pi\) |
−0.570525 | + | 0.821281i | \(0.693260\pi\) | |||||||
\(882\) | −27.8534 | + | 13.0422i | −0.937873 | + | 0.439154i | ||||
\(883\) | 10.5261 | + | 7.64764i | 0.354231 | + | 0.257364i | 0.750642 | − | 0.660709i | \(-0.229744\pi\) |
−0.396411 | + | 0.918073i | \(0.629744\pi\) | |||||||
\(884\) | −3.10148 | + | 0.659240i | −0.104314 | + | 0.0221727i | ||||
\(885\) | −18.2846 | − | 25.2481i | −0.614630 | − | 0.848705i | ||||
\(886\) | −13.8742 | − | 2.94906i | −0.466114 | − | 0.0990755i | ||||
\(887\) | −20.3207 | − | 22.5685i | −0.682304 | − | 0.757775i | 0.298151 | − | 0.954519i | \(-0.403630\pi\) |
−0.980455 | + | 0.196743i | \(0.936963\pi\) | |||||||
\(888\) | 37.5238 | + | 3.58303i | 1.25922 | + | 0.120239i | ||||
\(889\) | 5.21767 | − | 5.79481i | 0.174995 | − | 0.194352i | ||||
\(890\) | −58.2387 | + | 11.7075i | −1.95217 | + | 0.392436i | ||||
\(891\) | 3.51306 | − | 6.65809i | 0.117692 | − | 0.223054i | ||||
\(892\) | −2.60913 | − | 1.89564i | −0.0873600 | − | 0.0634707i | ||||
\(893\) | 21.9337 | + | 37.9903i | 0.733983 | + | 1.27130i | ||||
\(894\) | 1.96921 | − | 4.53873i | 0.0658602 | − | 0.151798i | ||||
\(895\) | 2.33435 | − | 6.92298i | 0.0780288 | − | 0.231410i | ||||
\(896\) | −0.706748 | − | 6.72426i | −0.0236108 | − | 0.224642i | ||||
\(897\) | −5.85996 | + | 28.9203i | −0.195658 | + | 0.965620i | ||||
\(898\) | 25.8775 | − | 28.7399i | 0.863543 | − | 0.959062i | ||||
\(899\) | −0.530007 | −0.0176767 | ||||||||
\(900\) | 0.507425 | − | 4.68920i | 0.0169142 | − | 0.156307i | ||||
\(901\) | 30.4989 | 1.01606 | ||||||||
\(902\) | 7.66711 | − | 8.51518i | 0.255287 | − | 0.283525i | ||||
\(903\) | 1.79164 | − | 0.601057i | 0.0596219 | − | 0.0200019i | ||||
\(904\) | 3.33196 | + | 31.7015i | 0.110819 | + | 1.05438i | ||||
\(905\) | 14.0537 | + | 0.155408i | 0.467162 | + | 0.00516594i | ||||
\(906\) | 3.22043 | + | 4.34493i | 0.106992 | + | 0.144351i | ||||
\(907\) | −19.2588 | − | 33.3572i | −0.639477 | − | 1.10761i | −0.985548 | − | 0.169398i | \(-0.945818\pi\) |
0.346071 | − | 0.938208i | \(-0.387516\pi\) | |||||||
\(908\) | 1.49820 | + | 1.08851i | 0.0497195 | + | 0.0361233i | ||||
\(909\) | 41.4877 | − | 31.3667i | 1.37606 | − | 1.04037i | ||||
\(910\) | −4.62498 | − | 2.12076i | −0.153317 | − | 0.0703025i | ||||
\(911\) | −13.2069 | + | 14.6677i | −0.437563 | + | 0.485963i | −0.921081 | − | 0.389372i | \(-0.872692\pi\) |
0.483518 | + | 0.875335i | \(0.339359\pi\) | |||||||
\(912\) | 19.6563 | + | 43.0411i | 0.650885 | + | 1.42523i | ||||
\(913\) | −0.251663 | − | 0.279501i | −0.00832884 | − | 0.00925012i | ||||
\(914\) | −45.4624 | − | 9.66333i | −1.50376 | − | 0.319634i | ||||
\(915\) | −7.91119 | + | 7.10129i | −0.261536 | + | 0.234761i | ||||
\(916\) | −4.37319 | + | 0.929551i | −0.144494 | + | 0.0307132i | ||||
\(917\) | 3.81417 | + | 2.77116i | 0.125955 | + | 0.0915118i | ||||
\(918\) | 10.3641 | − | 25.1908i | 0.342065 | − | 0.831420i | ||||
\(919\) | −17.8319 | − | 12.9556i | −0.588219 | − | 0.427366i | 0.253459 | − | 0.967346i | \(-0.418432\pi\) |
−0.841678 | + | 0.539980i | \(0.818432\pi\) | |||||||
\(920\) | −32.5726 | − | 7.30086i | −1.07389 | − | 0.240702i | ||||
\(921\) | −11.5766 | − | 10.2257i | −0.381463 | − | 0.336950i | ||||
\(922\) | −2.32222 | − | 22.0944i | −0.0764781 | − | 0.727641i | ||||
\(923\) | −14.3241 | − | 3.04469i | −0.471485 | − | 0.100217i | ||||
\(924\) | −0.171537 | + | 0.157436i | −0.00564316 | + | 0.00517926i | ||||
\(925\) | 33.7703 | + | 25.6955i | 1.11036 | + | 0.844862i | ||||
\(926\) | −16.5646 | −0.544346 | ||||||||
\(927\) | 24.4901 | − | 5.69502i | 0.804362 | − | 0.187049i | ||||
\(928\) | −0.851379 | + | 0.618563i | −0.0279479 | + | 0.0203053i | ||||
\(929\) | −14.5062 | − | 6.45858i | −0.475933 | − | 0.211899i | 0.154728 | − | 0.987957i | \(-0.450550\pi\) |
−0.630662 | + | 0.776058i | \(0.717216\pi\) | |||||||
\(930\) | −2.13528 | + | 4.77617i | −0.0700187 | + | 0.156617i | ||||
\(931\) | 37.1253 | − | 16.5293i | 1.21673 | − | 0.541724i | ||||
\(932\) | 0.804302 | − | 1.39309i | 0.0263458 | − | 0.0456322i | ||||
\(933\) | −21.0798 | − | 28.4405i | −0.690123 | − | 0.931099i | ||||
\(934\) | −0.248157 | + | 0.0527473i | −0.00811993 | + | 0.00172595i | ||||
\(935\) | 4.36522 | − | 4.74156i | 0.142758 | − | 0.155066i | ||||
\(936\) | −21.9274 | + | 5.09908i | −0.716721 | + | 0.166669i | ||||
\(937\) | 10.7106 | − | 32.9639i | 0.349901 | − | 1.07688i | −0.609007 | − | 0.793165i | \(-0.708432\pi\) |
0.958908 | − | 0.283718i | \(-0.0915681\pi\) | |||||||
\(938\) | 1.16461 | − | 0.247545i | 0.0380258 | − | 0.00808263i | ||||
\(939\) | 34.9070 | + | 19.7128i | 1.13915 | + | 0.643303i | ||||
\(940\) | 1.52658 | + | 4.88136i | 0.0497917 | + | 0.159212i | ||||
\(941\) | −5.44265 | − | 6.04467i | −0.177425 | − | 0.197051i | 0.647872 | − | 0.761749i | \(-0.275659\pi\) |
−0.825297 | + | 0.564698i | \(0.808992\pi\) | |||||||
\(942\) | 6.27877 | − | 14.4716i | 0.204573 | − | 0.471511i | ||||
\(943\) | −26.2102 | − | 45.3974i | −0.853522 | − | 1.47834i | ||||
\(944\) | 29.4983 | + | 21.4318i | 0.960089 | + | 0.697545i | ||||
\(945\) | 5.09009 | − | 3.05881i | 0.165581 | − | 0.0995029i | ||||
\(946\) | −2.19767 | + | 1.59670i | −0.0714525 | + | 0.0519133i | ||||
\(947\) | −34.3912 | − | 15.3119i | −1.11756 | − | 0.497571i | −0.237004 | − | 0.971509i | \(-0.576166\pi\) |
−0.880558 | + | 0.473938i | \(0.842832\pi\) | |||||||
\(948\) | 3.53878 | − | 2.08829i | 0.114934 | − | 0.0678246i | ||||
\(949\) | 16.0886 | − | 27.8662i | 0.522257 | − | 0.904576i | ||||
\(950\) | −5.80265 | + | 45.5040i | −0.188263 | + | 1.47634i | ||||
\(951\) | −13.6679 | + | 12.5443i | −0.443212 | + | 0.406778i | ||||
\(952\) | 3.02190 | − | 3.35616i | 0.0979402 | − | 0.108774i | ||||
\(953\) | −5.31982 | + | 3.86508i | −0.172326 | + | 0.125202i | −0.670605 | − | 0.741814i | \(-0.733965\pi\) |
0.498279 | + | 0.867017i | \(0.333965\pi\) | |||||||
\(954\) | −40.3882 | + | 0.769207i | −1.30762 | + | 0.0249040i | ||||
\(955\) | 16.7972 | − | 18.2454i | 0.543545 | − | 0.590406i | ||||
\(956\) | 0.183218 | − | 1.74321i | 0.00592571 | − | 0.0563793i | ||||
\(957\) | −0.824960 | − | 0.259388i | −0.0266672 | − | 0.00838483i | ||||
\(958\) | 40.6564 | − | 18.1014i | 1.31355 | − | 0.584830i | ||||
\(959\) | 3.18614 | + | 3.53857i | 0.102886 | + | 0.114266i | ||||
\(960\) | −5.09857 | − | 24.1694i | −0.164556 | − | 0.780064i | ||||
\(961\) | −20.2155 | + | 22.4516i | −0.652113 | + | 0.724245i | ||||
\(962\) | −11.6759 | + | 35.9347i | −0.376446 | + | 1.15858i | ||||
\(963\) | 4.56271 | + | 36.6782i | 0.147031 | + | 1.18194i | ||||
\(964\) | 2.26415 | + | 6.96833i | 0.0729233 | + | 0.224435i | ||||
\(965\) | −1.88431 | − | 20.0593i | −0.0606582 | − | 0.645733i | ||||
\(966\) | 3.25700 | + | 7.13180i | 0.104792 | + | 0.229462i | ||||
\(967\) | 16.6485 | − | 7.41240i | 0.535380 | − | 0.238367i | −0.121193 | − | 0.992629i | \(-0.538672\pi\) |
0.656573 | + | 0.754262i | \(0.272005\pi\) | |||||||
\(968\) | 13.2065 | − | 22.8744i | 0.424475 | − | 0.735212i | ||||
\(969\) | −14.3258 | + | 33.0188i | −0.460211 | + | 1.06072i | ||||
\(970\) | −29.3383 | + | 49.5421i | −0.941996 | + | 1.59070i | ||||
\(971\) | −9.06609 | + | 6.58690i | −0.290945 | + | 0.211384i | −0.723677 | − | 0.690139i | \(-0.757550\pi\) |
0.432732 | + | 0.901522i | \(0.357550\pi\) | |||||||
\(972\) | −1.77831 | + | 4.56765i | −0.0570392 | + | 0.146507i | ||||
\(973\) | −0.920633 | − | 2.83342i | −0.0295142 | − | 0.0908352i | ||||
\(974\) | 24.6278 | + | 42.6567i | 0.789127 | + | 1.36681i | ||||
\(975\) | −24.0025 | − | 8.13448i | −0.768696 | − | 0.260512i | ||||
\(976\) | 6.21715 | − | 10.7684i | 0.199006 | − | 0.344689i | ||||
\(977\) | −10.2147 | − | 2.17120i | −0.326797 | − | 0.0694628i | 0.0415918 | − | 0.999135i | \(-0.486757\pi\) |
−0.368389 | + | 0.929672i | \(0.620090\pi\) | |||||||
\(978\) | −8.85078 | + | 43.6807i | −0.283017 | + | 1.39675i | ||||
\(979\) | 13.3437 | + | 5.94102i | 0.426468 | + | 0.189876i | ||||
\(980\) | 4.64514 | − | 0.933794i | 0.148384 | − | 0.0298289i | ||||
\(981\) | −43.2243 | − | 8.33067i | −1.38005 | − | 0.265978i | ||||
\(982\) | −5.08237 | −0.162185 | ||||||||
\(983\) | −0.140774 | + | 1.33937i | −0.00448998 | + | 0.0427193i | −0.996537 | − | 0.0831447i | \(-0.973504\pi\) |
0.992048 | + | 0.125864i | \(0.0401703\pi\) | |||||||
\(984\) | 23.1982 | − | 32.5774i | 0.739532 | − | 1.03853i | ||||
\(985\) | 19.4115 | − | 57.5686i | 0.618503 | − | 1.83429i | ||||
\(986\) | −3.06073 | − | 0.650578i | −0.0974734 | − | 0.0207186i | ||||
\(987\) | −3.73525 | + | 5.24544i | −0.118894 | + | 0.166964i | ||||
\(988\) | −5.42793 | + | 1.15374i | −0.172685 | + | 0.0367054i | ||||
\(989\) | 3.84032 | + | 11.8193i | 0.122115 | + | 0.375832i | ||||
\(990\) | −5.66107 | + | 6.38912i | −0.179920 | + | 0.203060i | ||||
\(991\) | 3.33798 | − | 10.2732i | 0.106034 | − | 0.326340i | −0.883937 | − | 0.467605i | \(-0.845117\pi\) |
0.989972 | + | 0.141265i | \(0.0451169\pi\) | |||||||
\(992\) | 0.163635 | − | 1.55688i | 0.00519540 | − | 0.0494310i | ||||
\(993\) | −29.9945 | + | 27.5288i | −0.951846 | + | 0.873599i | ||||
\(994\) | −3.55458 | + | 1.58260i | −0.112745 | + | 0.0501971i | ||||
\(995\) | −28.5815 | + | 20.2867i | −0.906096 | + | 0.643130i | ||||
\(996\) | 0.183538 | + | 0.162121i | 0.00581562 | + | 0.00513699i | ||||
\(997\) | 17.2427 | + | 7.67692i | 0.546080 | + | 0.243131i | 0.661185 | − | 0.750223i | \(-0.270054\pi\) |
−0.115105 | + | 0.993353i | \(0.536720\pi\) | |||||||
\(998\) | −12.2245 | − | 37.6231i | −0.386960 | − | 1.19094i | ||||
\(999\) | −26.9293 | − | 34.9222i | −0.852006 | − | 1.10489i |
(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 | 225.2.q.a.31.8 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.r.a.631.21 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.181.8 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.106.21 | yes | 224 | |
25.21 | even | 5 | inner | 225.2.q.a.121.21 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.496.8 | 224 | |||
225.146 | odd | 30 | 675.2.r.a.46.21 | 224 | |||
225.196 | even | 15 | inner | 225.2.q.a.196.8 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.8 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.106.21 | yes | 224 | 9.7 | even | 3 | inner | |
225.2.q.a.121.21 | yes | 224 | 25.21 | even | 5 | inner | |
225.2.q.a.196.8 | yes | 224 | 225.196 | even | 15 | inner | |
675.2.r.a.46.21 | 224 | 225.146 | odd | 30 | |||
675.2.r.a.181.8 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.496.8 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.631.21 | 224 | 3.2 | odd | 2 |