Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(11,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.bj (of order \(36\), 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: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 11.21 | ||
Character | \(\chi\) | \(=\) | 432.11 |
Dual form | 432.2.bj.a.275.21 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.859031 | − | 1.12342i | −0.607427 | − | 0.794376i | ||||
\(3\) | −0.160747 | + | 1.72458i | −0.0928070 | + | 0.995684i | ||||
\(4\) | −0.524131 | + | 1.93010i | −0.262065 | + | 0.965050i | ||||
\(5\) | 2.32382 | − | 1.08362i | 1.03925 | − | 0.484608i | 0.173364 | − | 0.984858i | \(-0.444536\pi\) |
0.865881 | + | 0.500250i | \(0.166758\pi\) | |||||||
\(6\) | 2.07550 | − | 1.30088i | 0.847321 | − | 0.531082i | ||||
\(7\) | 0.387383 | − | 2.19696i | 0.146417 | − | 0.830373i | −0.819801 | − | 0.572648i | \(-0.805916\pi\) |
0.966218 | − | 0.257725i | \(-0.0829728\pi\) | |||||||
\(8\) | 2.61855 | − | 1.06920i | 0.925798 | − | 0.378019i | ||||
\(9\) | −2.94832 | − | 0.554439i | −0.982774 | − | 0.184813i | ||||
\(10\) | −3.21359 | − | 1.67976i | −1.01623 | − | 0.531187i | ||||
\(11\) | 3.07018 | + | 1.43165i | 0.925693 | + | 0.431658i | 0.826198 | − | 0.563380i | \(-0.190499\pi\) |
0.0994951 | + | 0.995038i | \(0.468277\pi\) | |||||||
\(12\) | −3.24435 | − | 1.21416i | −0.936564 | − | 0.350498i | ||||
\(13\) | 0.323330 | − | 3.69567i | 0.0896755 | − | 1.02500i | −0.809416 | − | 0.587235i | \(-0.800216\pi\) |
0.899092 | − | 0.437760i | \(-0.144228\pi\) | |||||||
\(14\) | −2.80088 | + | 1.45206i | −0.748566 | + | 0.388081i | ||||
\(15\) | 1.49523 | + | 4.18180i | 0.386067 | + | 1.07973i | ||||
\(16\) | −3.45057 | − | 2.02325i | −0.862643 | − | 0.505812i | ||||
\(17\) | −4.87637 | + | 2.81537i | −1.18269 | + | 0.682828i | −0.956636 | − | 0.291286i | \(-0.905917\pi\) |
−0.226057 | + | 0.974114i | \(0.572584\pi\) | |||||||
\(18\) | 1.90983 | + | 3.78847i | 0.450152 | + | 0.892952i | ||||
\(19\) | 4.54940 | − | 1.21901i | 1.04370 | − | 0.279660i | 0.304057 | − | 0.952654i | \(-0.401659\pi\) |
0.739648 | + | 0.672994i | \(0.234992\pi\) | |||||||
\(20\) | 0.873501 | + | 5.05317i | 0.195321 | + | 1.12992i | ||||
\(21\) | 3.72655 | + | 1.02123i | 0.813201 | + | 0.222850i | ||||
\(22\) | −1.02904 | − | 4.67892i | −0.219392 | − | 0.997548i | ||||
\(23\) | 5.25881 | − | 0.927270i | 1.09654 | − | 0.193349i | 0.404020 | − | 0.914750i | \(-0.367613\pi\) |
0.692518 | + | 0.721401i | \(0.256502\pi\) | |||||||
\(24\) | 1.42299 | + | 4.68776i | 0.290467 | + | 0.956885i | ||||
\(25\) | 1.01199 | − | 1.20604i | 0.202398 | − | 0.241209i | ||||
\(26\) | −4.42953 | + | 2.81147i | −0.868703 | + | 0.551374i | ||||
\(27\) | 1.43010 | − | 4.99548i | 0.275224 | − | 0.961380i | ||||
\(28\) | 4.03731 | + | 1.89918i | 0.762981 | + | 0.358912i | ||||
\(29\) | 0.224692 | + | 2.56825i | 0.0417243 | + | 0.476911i | 0.988097 | + | 0.153834i | \(0.0491620\pi\) |
−0.946372 | + | 0.323078i | \(0.895282\pi\) | |||||||
\(30\) | 3.41345 | − | 5.27206i | 0.623208 | − | 0.962542i | ||||
\(31\) | 8.28625 | − | 1.46109i | 1.48825 | − | 0.262419i | 0.630383 | − | 0.776284i | \(-0.282898\pi\) |
0.857871 | + | 0.513865i | \(0.171787\pi\) | |||||||
\(32\) | 0.691197 | + | 5.61447i | 0.122188 | + | 0.992507i | ||||
\(33\) | −2.96250 | + | 5.06462i | −0.515705 | + | 0.881637i | ||||
\(34\) | 7.35179 | + | 3.05970i | 1.26082 | + | 0.524735i | ||||
\(35\) | −1.48045 | − | 5.52512i | −0.250242 | − | 0.933916i | ||||
\(36\) | 2.61543 | − | 5.39996i | 0.435905 | − | 0.899993i | ||||
\(37\) | 1.66736 | − | 6.22267i | 0.274112 | − | 1.02300i | −0.682322 | − | 0.731052i | \(-0.739030\pi\) |
0.956434 | − | 0.291949i | \(-0.0943037\pi\) | |||||||
\(38\) | −5.27753 | − | 4.06371i | −0.856129 | − | 0.659220i | ||||
\(39\) | 6.32150 | + | 1.15167i | 1.01225 | + | 0.184415i | ||||
\(40\) | 4.92645 | − | 5.32213i | 0.778940 | − | 0.841503i | ||||
\(41\) | 4.49818 | − | 3.77442i | 0.702497 | − | 0.589465i | −0.219986 | − | 0.975503i | \(-0.570601\pi\) |
0.922483 | + | 0.386038i | \(0.126157\pi\) | |||||||
\(42\) | −2.05396 | − | 5.06374i | −0.316934 | − | 0.781352i | ||||
\(43\) | −4.33870 | + | 9.30438i | −0.661646 | + | 1.41890i | 0.233155 | + | 0.972440i | \(0.425095\pi\) |
−0.894801 | + | 0.446465i | \(0.852683\pi\) | |||||||
\(44\) | −4.37239 | + | 5.17538i | −0.659163 | + | 0.780217i | ||||
\(45\) | −7.45218 | + | 1.90643i | −1.11090 | + | 0.284194i | ||||
\(46\) | −5.55919 | − | 5.11128i | −0.819658 | − | 0.753617i | ||||
\(47\) | −0.437552 | + | 2.48148i | −0.0638236 | + | 0.361962i | 0.936123 | + | 0.351672i | \(0.114387\pi\) |
−0.999947 | + | 0.0102900i | \(0.996725\pi\) | |||||||
\(48\) | 4.04391 | − | 5.62554i | 0.583689 | − | 0.811977i | ||||
\(49\) | 1.90128 | + | 0.692009i | 0.271611 | + | 0.0988584i | ||||
\(50\) | −2.22422 | − | 0.100858i | −0.314552 | − | 0.0142635i | ||||
\(51\) | −4.07146 | − | 8.86223i | −0.570119 | − | 1.24096i | ||||
\(52\) | 6.96355 | + | 2.56108i | 0.965671 | + | 0.355157i | ||||
\(53\) | −3.02276 | + | 3.02276i | −0.415208 | + | 0.415208i | −0.883548 | − | 0.468340i | \(-0.844852\pi\) |
0.468340 | + | 0.883548i | \(0.344852\pi\) | |||||||
\(54\) | −6.84051 | + | 2.68467i | −0.930875 | + | 0.365337i | ||||
\(55\) | 8.68590 | 1.17121 | ||||||||
\(56\) | −1.33460 | − | 6.16705i | −0.178344 | − | 0.824106i | ||||
\(57\) | 1.37097 | + | 8.04174i | 0.181590 | + | 1.06515i | ||||
\(58\) | 2.69219 | − | 2.45863i | 0.353502 | − | 0.322833i | ||||
\(59\) | 3.37861 | + | 7.24546i | 0.439858 | + | 0.943278i | 0.993848 | + | 0.110755i | \(0.0353268\pi\) |
−0.553990 | + | 0.832523i | \(0.686895\pi\) | |||||||
\(60\) | −8.85498 | + | 0.694140i | −1.14317 | + | 0.0896130i | ||||
\(61\) | −7.89795 | − | 11.2794i | −1.01123 | − | 1.44419i | −0.892386 | − | 0.451272i | \(-0.850970\pi\) |
−0.118843 | − | 0.992913i | \(-0.537918\pi\) | |||||||
\(62\) | −8.75956 | − | 8.05379i | −1.11246 | − | 1.02283i | ||||
\(63\) | −2.36021 | + | 6.26256i | −0.297359 | + | 0.789009i | ||||
\(64\) | 5.71363 | − | 5.59951i | 0.714203 | − | 0.699938i | ||||
\(65\) | −3.25333 | − | 8.93846i | −0.403526 | − | 1.10868i | ||||
\(66\) | 8.23456 | − | 1.02254i | 1.01360 | − | 0.125866i | ||||
\(67\) | −6.97578 | − | 0.610301i | −0.852227 | − | 0.0745602i | −0.347333 | − | 0.937742i | \(-0.612913\pi\) |
−0.504894 | + | 0.863182i | \(0.668468\pi\) | |||||||
\(68\) | −2.87810 | − | 10.8875i | −0.349021 | − | 1.32030i | ||||
\(69\) | 0.753812 | + | 9.21827i | 0.0907483 | + | 1.10975i | ||||
\(70\) | −4.93526 | + | 6.40942i | −0.589877 | + | 0.766072i | ||||
\(71\) | −7.24759 | + | 4.18440i | −0.860131 | + | 0.496597i | −0.864056 | − | 0.503395i | \(-0.832084\pi\) |
0.00392502 | + | 0.999992i | \(0.498751\pi\) | |||||||
\(72\) | −8.31314 | + | 1.70051i | −0.979713 | + | 0.200408i | ||||
\(73\) | −7.40104 | − | 4.27299i | −0.866226 | − | 0.500116i | −0.000133575 | − | 1.00000i | \(-0.500043\pi\) |
−0.866092 | + | 0.499884i | \(0.833376\pi\) | |||||||
\(74\) | −8.42297 | + | 3.47233i | −0.979150 | + | 0.403650i | ||||
\(75\) | 1.91724 | + | 1.93912i | 0.221384 | + | 0.223910i | ||||
\(76\) | −0.0316729 | + | 9.41972i | −0.00363313 | + | 1.08052i | ||||
\(77\) | 4.33461 | − | 6.19046i | 0.493974 | − | 0.705468i | ||||
\(78\) | −4.13655 | − | 8.09100i | −0.468372 | − | 0.916125i | ||||
\(79\) | −2.05260 | + | 2.44620i | −0.230936 | + | 0.275219i | −0.869051 | − | 0.494722i | \(-0.835270\pi\) |
0.638115 | + | 0.769941i | \(0.279714\pi\) | |||||||
\(80\) | −10.2109 | − | 0.962576i | −1.14162 | − | 0.107619i | ||||
\(81\) | 8.38519 | + | 3.26933i | 0.931688 | + | 0.363259i | ||||
\(82\) | −8.10432 | − | 1.81098i | −0.894972 | − | 0.199990i | ||||
\(83\) | 4.52695 | − | 0.396056i | 0.496897 | − | 0.0434728i | 0.164047 | − | 0.986453i | \(-0.447545\pi\) |
0.332850 | + | 0.942980i | \(0.391990\pi\) | |||||||
\(84\) | −3.92427 | + | 6.65737i | −0.428173 | + | 0.726378i | ||||
\(85\) | −8.28104 | + | 11.8265i | −0.898204 | + | 1.28277i | ||||
\(86\) | 14.1798 | − | 3.11858i | 1.52904 | − | 0.336285i | ||||
\(87\) | −4.46525 | − | 0.0253375i | −0.478725 | − | 0.00271647i | ||||
\(88\) | 9.57013 | + | 0.466212i | 1.02018 | + | 0.0496983i | ||||
\(89\) | −4.33345 | + | 7.50575i | −0.459344 | + | 0.795608i | −0.998926 | − | 0.0463252i | \(-0.985249\pi\) |
0.539582 | + | 0.841933i | \(0.318582\pi\) | |||||||
\(90\) | 8.54337 | + | 6.73422i | 0.900550 | + | 0.709849i | ||||
\(91\) | −7.99400 | − | 2.14199i | −0.837999 | − | 0.224541i | ||||
\(92\) | −0.966580 | + | 10.6360i | −0.100773 | + | 1.10888i | ||||
\(93\) | 1.18777 | + | 14.5251i | 0.123166 | + | 1.50619i | ||||
\(94\) | 3.16361 | − | 1.64012i | 0.326302 | − | 0.169165i | ||||
\(95\) | 9.25107 | − | 7.76257i | 0.949139 | − | 0.796422i | ||||
\(96\) | −9.79368 | + | 0.289516i | −0.999563 | + | 0.0295486i | ||||
\(97\) | 13.0880 | − | 4.76365i | 1.32889 | − | 0.483675i | 0.422591 | − | 0.906320i | \(-0.361121\pi\) |
0.906295 | + | 0.422645i | \(0.138898\pi\) | |||||||
\(98\) | −0.855843 | − | 2.73039i | −0.0864532 | − | 0.275811i | ||||
\(99\) | −8.25810 | − | 5.92318i | −0.829970 | − | 0.595302i | ||||
\(100\) | 1.79737 | + | 2.58537i | 0.179737 | + | 0.258537i | ||||
\(101\) | 4.46175 | + | 6.37203i | 0.443960 | + | 0.634041i | 0.977300 | − | 0.211860i | \(-0.0679521\pi\) |
−0.533340 | + | 0.845901i | \(0.679063\pi\) | |||||||
\(102\) | −6.45846 | + | 12.1869i | −0.639483 | + | 1.20668i | ||||
\(103\) | 3.64159 | + | 1.32543i | 0.358816 | + | 0.130598i | 0.515137 | − | 0.857108i | \(-0.327741\pi\) |
−0.156321 | + | 0.987706i | \(0.549963\pi\) | |||||||
\(104\) | −3.10476 | − | 10.0230i | −0.304446 | − | 0.982838i | ||||
\(105\) | 9.76647 | − | 1.66501i | 0.953110 | − | 0.162488i | ||||
\(106\) | 5.99246 | + | 0.799174i | 0.582039 | + | 0.0776226i | ||||
\(107\) | −1.18062 | − | 1.18062i | −0.114135 | − | 0.114135i | 0.647733 | − | 0.761868i | \(-0.275717\pi\) |
−0.761868 | + | 0.647733i | \(0.775717\pi\) | |||||||
\(108\) | 8.89221 | + | 5.37853i | 0.855653 | + | 0.517549i | ||||
\(109\) | −4.83143 | + | 4.83143i | −0.462767 | + | 0.462767i | −0.899561 | − | 0.436795i | \(-0.856114\pi\) |
0.436795 | + | 0.899561i | \(0.356114\pi\) | |||||||
\(110\) | −7.46146 | − | 9.75789i | −0.711422 | − | 0.930378i | ||||
\(111\) | 10.4634 | + | 3.87576i | 0.993146 | + | 0.367871i | ||||
\(112\) | −5.78170 | + | 6.79700i | −0.546319 | + | 0.642256i | ||||
\(113\) | −1.43875 | + | 3.95292i | −0.135346 | + | 0.371860i | −0.988788 | − | 0.149329i | \(-0.952289\pi\) |
0.853442 | + | 0.521188i | \(0.174511\pi\) | |||||||
\(114\) | 7.85652 | − | 8.44828i | 0.735830 | − | 0.791253i | ||||
\(115\) | 11.2157 | − | 7.85334i | 1.04587 | − | 0.732328i | ||||
\(116\) | −5.07474 | − | 0.912418i | −0.471178 | − | 0.0847159i | ||||
\(117\) | −3.00231 | + | 10.7168i | −0.277563 | + | 0.990766i | ||||
\(118\) | 5.23734 | − | 10.0197i | 0.482136 | − | 0.922385i | ||||
\(119\) | 4.29624 | + | 11.8038i | 0.393836 | + | 1.08205i | ||||
\(120\) | 8.38651 | + | 9.35155i | 0.765580 | + | 0.853676i | ||||
\(121\) | 0.305701 | + | 0.364321i | 0.0277910 | + | 0.0331201i | ||||
\(122\) | −5.88693 | + | 18.5621i | −0.532978 | + | 1.68053i | ||||
\(123\) | 5.78620 | + | 8.36417i | 0.521724 | + | 0.754172i | ||||
\(124\) | −1.52303 | + | 16.7591i | −0.136772 | + | 1.50501i | ||||
\(125\) | −2.27333 | + | 8.48419i | −0.203333 | + | 0.758849i | ||||
\(126\) | 9.06297 | − | 2.72824i | 0.807393 | − | 0.243051i | ||||
\(127\) | −9.91223 | − | 5.72283i | −0.879568 | − | 0.507819i | −0.00905216 | − | 0.999959i | \(-0.502881\pi\) |
−0.870516 | + | 0.492140i | \(0.836215\pi\) | |||||||
\(128\) | −11.1988 | − | 1.60863i | −0.989840 | − | 0.142185i | ||||
\(129\) | −15.3487 | − | 8.97807i | −1.35138 | − | 0.790475i | ||||
\(130\) | −7.24690 | + | 11.3333i | −0.635595 | + | 0.993993i | ||||
\(131\) | −9.77845 | − | 6.84695i | −0.854347 | − | 0.598221i | 0.0622371 | − | 0.998061i | \(-0.480176\pi\) |
−0.916585 | + | 0.399841i | \(0.869065\pi\) | |||||||
\(132\) | −8.22248 | − | 8.37245i | −0.715675 | − | 0.728728i | ||||
\(133\) | −0.915751 | − | 10.4671i | −0.0794057 | − | 0.907611i | ||||
\(134\) | 5.30679 | + | 8.36097i | 0.458437 | + | 0.722278i | ||||
\(135\) | −2.08987 | − | 13.1583i | −0.179868 | − | 1.13249i | ||||
\(136\) | −9.75883 | + | 12.5860i | −0.836813 | + | 1.07924i | ||||
\(137\) | −11.9065 | − | 9.99076i | −1.01724 | − | 0.853568i | −0.0279641 | − | 0.999609i | \(-0.508902\pi\) |
−0.989279 | + | 0.146041i | \(0.953347\pi\) | |||||||
\(138\) | 9.70841 | − | 8.76562i | 0.826435 | − | 0.746180i | ||||
\(139\) | −17.0866 | − | 11.9642i | −1.44927 | − | 1.01479i | −0.992105 | − | 0.125407i | \(-0.959976\pi\) |
−0.457164 | − | 0.889382i | \(-0.651135\pi\) | |||||||
\(140\) | 11.4400 | + | 0.0384659i | 0.966856 | + | 0.00325096i | ||||
\(141\) | −4.20917 | − | 1.15348i | −0.354476 | − | 0.0971407i | ||||
\(142\) | 10.9267 | + | 4.54754i | 0.916951 | + | 0.381621i | ||||
\(143\) | 6.28358 | − | 10.8835i | 0.525459 | − | 0.910122i | ||||
\(144\) | 9.05163 | + | 7.87832i | 0.754303 | + | 0.656527i | ||||
\(145\) | 3.30514 | + | 5.72467i | 0.274477 | + | 0.475408i | ||||
\(146\) | 1.55737 | + | 11.9851i | 0.128889 | + | 0.991892i | ||||
\(147\) | −1.49905 | + | 3.16766i | −0.123639 | + | 0.261264i | ||||
\(148\) | 11.1365 | + | 6.47966i | 0.915412 | + | 0.532625i | ||||
\(149\) | −0.768388 | + | 8.78271i | −0.0629488 | + | 0.719508i | 0.897493 | + | 0.441028i | \(0.145386\pi\) |
−0.960442 | + | 0.278480i | \(0.910169\pi\) | |||||||
\(150\) | 0.531473 | − | 3.81962i | 0.0433946 | − | 0.311871i | ||||
\(151\) | −10.0779 | + | 3.66805i | −0.820126 | + | 0.298501i | −0.717800 | − | 0.696250i | \(-0.754851\pi\) |
−0.102326 | + | 0.994751i | \(0.532628\pi\) | |||||||
\(152\) | 10.6095 | − | 8.05625i | 0.860542 | − | 0.653448i | ||||
\(153\) | 15.9381 | − | 5.59698i | 1.28852 | − | 0.452489i | ||||
\(154\) | −10.6780 | + | 0.448228i | −0.860460 | + | 0.0361192i | ||||
\(155\) | 17.6725 | − | 12.3744i | 1.41949 | − | 0.993938i | ||||
\(156\) | −5.53613 | + | 11.5975i | −0.443246 | + | 0.928543i | ||||
\(157\) | −2.46663 | + | 1.15021i | −0.196859 | + | 0.0917967i | −0.518548 | − | 0.855049i | \(-0.673527\pi\) |
0.321689 | + | 0.946845i | \(0.395749\pi\) | |||||||
\(158\) | 4.51135 | + | 0.204569i | 0.358904 | + | 0.0162747i | ||||
\(159\) | −4.72708 | − | 5.69887i | −0.374881 | − | 0.451950i | ||||
\(160\) | 7.69015 | + | 12.2980i | 0.607960 | + | 0.972245i | ||||
\(161\) | − | 11.9126i | − | 0.938845i | ||||||
\(162\) | −3.53033 | − | 12.2285i | −0.277369 | − | 0.960764i | ||||
\(163\) | −11.5411 | − | 11.5411i | −0.903969 | − | 0.903969i | 0.0918077 | − | 0.995777i | \(-0.470735\pi\) |
−0.995777 | + | 0.0918077i | \(0.970735\pi\) | |||||||
\(164\) | 4.92737 | + | 10.6602i | 0.384763 | + | 0.832423i | ||||
\(165\) | −1.39623 | + | 14.9795i | −0.108696 | + | 1.16615i | ||||
\(166\) | −4.33372 | − | 4.74542i | −0.336362 | − | 0.368316i | ||||
\(167\) | −0.948023 | + | 2.60467i | −0.0733602 | + | 0.201556i | −0.970953 | − | 0.239270i | \(-0.923092\pi\) |
0.897593 | + | 0.440825i | \(0.145314\pi\) | |||||||
\(168\) | 10.8501 | − | 1.31030i | 0.837101 | − | 0.101091i | ||||
\(169\) | −0.750966 | − | 0.132416i | −0.0577666 | − | 0.0101858i | ||||
\(170\) | 20.3998 | − | 0.856316i | 1.56459 | − | 0.0656764i | ||||
\(171\) | −14.0890 | + | 1.07166i | −1.07741 | + | 0.0819521i | ||||
\(172\) | −15.6843 | − | 13.2508i | −1.19592 | − | 1.01037i | ||||
\(173\) | −23.0700 | − | 10.7577i | −1.75398 | − | 0.817895i | −0.983612 | − | 0.180298i | \(-0.942294\pi\) |
−0.770370 | − | 0.637597i | \(-0.779928\pi\) | |||||||
\(174\) | 3.80733 | + | 5.03811i | 0.288633 | + | 0.381938i | ||||
\(175\) | −2.25760 | − | 2.69050i | −0.170659 | − | 0.203383i | ||||
\(176\) | −7.69729 | − | 11.1517i | −0.580205 | − | 0.840593i | ||||
\(177\) | −13.0384 | + | 4.66199i | −0.980029 | + | 0.350417i | ||||
\(178\) | 12.1547 | − | 1.57941i | 0.911030 | − | 0.118382i | ||||
\(179\) | 11.0063 | + | 2.94912i | 0.822647 | + | 0.220428i | 0.645503 | − | 0.763757i | \(-0.276648\pi\) |
0.177144 | + | 0.984185i | \(0.443314\pi\) | |||||||
\(180\) | 0.226311 | − | 15.3827i | 0.0168682 | − | 1.14656i | ||||
\(181\) | −3.48455 | + | 0.933683i | −0.259005 | + | 0.0694001i | −0.385985 | − | 0.922505i | \(-0.626138\pi\) |
0.126980 | + | 0.991905i | \(0.459472\pi\) | |||||||
\(182\) | 4.46075 | + | 10.8206i | 0.330653 | + | 0.802078i | ||||
\(183\) | 20.7218 | − | 11.8075i | 1.53180 | − | 0.872834i | ||||
\(184\) | 12.7790 | − | 8.05082i | 0.942082 | − | 0.593514i | ||||
\(185\) | −2.86834 | − | 16.2672i | −0.210885 | − | 1.19599i | ||||
\(186\) | 15.2974 | − | 13.8119i | 1.12166 | − | 1.01274i | ||||
\(187\) | −19.0019 | + | 1.66245i | −1.38956 | + | 0.121571i | ||||
\(188\) | −4.56018 | − | 2.14514i | −0.332585 | − | 0.156451i | ||||
\(189\) | −10.4209 | − | 5.07705i | −0.758007 | − | 0.369301i | ||||
\(190\) | −16.6676 | − | 3.72452i | −1.20919 | − | 0.270205i | ||||
\(191\) | 13.1151 | + | 11.0049i | 0.948974 | + | 0.796283i | 0.979124 | − | 0.203262i | \(-0.0651543\pi\) |
−0.0301507 | + | 0.999545i | \(0.509599\pi\) | |||||||
\(192\) | 8.73832 | + | 10.7537i | 0.630634 | + | 0.776080i | ||||
\(193\) | 1.19205 | + | 6.76044i | 0.0858055 | + | 0.486627i | 0.997180 | + | 0.0750489i | \(0.0239113\pi\) |
−0.911374 | + | 0.411578i | \(0.864978\pi\) | |||||||
\(194\) | −16.5946 | − | 10.6112i | −1.19142 | − | 0.761838i | ||||
\(195\) | 15.9380 | − | 4.17379i | 1.14134 | − | 0.298891i | ||||
\(196\) | −2.33216 | + | 3.30695i | −0.166583 | + | 0.236211i | ||||
\(197\) | −1.83323 | − | 6.84172i | −0.130612 | − | 0.487452i | 0.869365 | − | 0.494171i | \(-0.164528\pi\) |
−0.999977 | + | 0.00671816i | \(0.997862\pi\) | |||||||
\(198\) | 0.439770 | + | 14.3655i | 0.0312531 | + | 1.02091i | ||||
\(199\) | 10.3737 | + | 17.9678i | 0.735372 | + | 1.27370i | 0.954560 | + | 0.298019i | \(0.0963259\pi\) |
−0.219188 | + | 0.975683i | \(0.570341\pi\) | |||||||
\(200\) | 1.36045 | − | 4.24011i | 0.0961983 | − | 0.299821i | ||||
\(201\) | 2.17384 | − | 11.9322i | 0.153331 | − | 0.841629i | ||||
\(202\) | 3.32567 | − | 10.4862i | 0.233993 | − | 0.737805i | ||||
\(203\) | 5.72938 | + | 0.501256i | 0.402123 | + | 0.0351812i | ||||
\(204\) | 19.2390 | − | 3.21337i | 1.34700 | − | 0.224981i | ||||
\(205\) | 6.36294 | − | 13.6454i | 0.444407 | − | 0.953034i | ||||
\(206\) | −1.63923 | − | 5.22961i | −0.114210 | − | 0.364364i | ||||
\(207\) | −16.0188 | − | 0.181799i | −1.11338 | − | 0.0126359i | ||||
\(208\) | −8.59295 | + | 12.0980i | −0.595814 | + | 0.838847i | ||||
\(209\) | 15.7126 | + | 2.77056i | 1.08687 | + | 0.191644i | ||||
\(210\) | −10.2602 | − | 9.54152i | −0.708021 | − | 0.658428i | ||||
\(211\) | 4.10132 | + | 8.79532i | 0.282347 | + | 0.605495i | 0.995420 | − | 0.0955946i | \(-0.0304752\pi\) |
−0.713074 | + | 0.701089i | \(0.752697\pi\) | |||||||
\(212\) | −4.24990 | − | 7.41854i | −0.291885 | − | 0.509508i | ||||
\(213\) | −6.05129 | − | 13.1717i | −0.414628 | − | 0.902507i | ||||
\(214\) | −0.312139 | + | 2.34052i | −0.0213374 | + | 0.159995i | ||||
\(215\) | 26.3232i | 1.79523i | ||||||||
\(216\) | −1.59636 | − | 14.6100i | −0.108618 | − | 0.994084i | ||||
\(217\) | − | 18.7706i | − | 1.27423i | ||||||
\(218\) | 9.57805 | + | 1.27736i | 0.648708 | + | 0.0865137i | ||||
\(219\) | 8.55878 | − | 12.0768i | 0.578349 | − | 0.816073i | ||||
\(220\) | −4.55255 | + | 16.7647i | −0.306933 | + | 1.13027i | ||||
\(221\) | 8.82803 | + | 18.9318i | 0.593838 | + | 1.27349i | ||||
\(222\) | −4.63433 | − | 15.0842i | −0.311036 | − | 1.01239i | ||||
\(223\) | −9.52429 | − | 1.67939i | −0.637794 | − | 0.112460i | −0.154605 | − | 0.987976i | \(-0.549410\pi\) |
−0.483189 | + | 0.875516i | \(0.660522\pi\) | |||||||
\(224\) | 12.6025 | + | 0.656418i | 0.842041 | + | 0.0438588i | ||||
\(225\) | −3.65235 | + | 2.99472i | −0.243490 | + | 0.199648i | ||||
\(226\) | 5.67671 | − | 1.77937i | 0.377609 | − | 0.118362i | ||||
\(227\) | 8.15382 | − | 17.4859i | 0.541188 | − | 1.16058i | −0.425578 | − | 0.904922i | \(-0.639929\pi\) |
0.966767 | − | 0.255660i | \(-0.0822929\pi\) | |||||||
\(228\) | −16.2399 | − | 1.56881i | −1.07552 | − | 0.103897i | ||||
\(229\) | −13.2309 | − | 1.15755i | −0.874322 | − | 0.0764933i | −0.358845 | − | 0.933397i | \(-0.616829\pi\) |
−0.515476 | + | 0.856904i | \(0.672385\pi\) | |||||||
\(230\) | −18.4572 | − | 5.85368i | −1.21703 | − | 0.385980i | ||||
\(231\) | 9.97914 | + | 8.47045i | 0.656579 | + | 0.557315i | ||||
\(232\) | 3.33433 | + | 6.48484i | 0.218910 | + | 0.425751i | ||||
\(233\) | −9.76034 | − | 16.9054i | −0.639421 | − | 1.10751i | −0.985560 | − | 0.169327i | \(-0.945841\pi\) |
0.346139 | − | 0.938183i | \(-0.387493\pi\) | |||||||
\(234\) | 14.6185 | − | 5.83320i | 0.955639 | − | 0.381328i | ||||
\(235\) | 1.67218 | + | 6.24067i | 0.109081 | + | 0.407096i | ||||
\(236\) | −15.7553 | + | 2.72349i | −1.02558 | + | 0.177284i | ||||
\(237\) | −3.88870 | − | 3.93309i | −0.252598 | − | 0.255481i | ||||
\(238\) | 9.57001 | − | 14.9663i | 0.620331 | − | 0.970122i | ||||
\(239\) | 2.95020 | + | 16.7314i | 0.190832 | + | 1.08226i | 0.918230 | + | 0.396048i | \(0.129619\pi\) |
−0.727397 | + | 0.686217i | \(0.759270\pi\) | |||||||
\(240\) | 3.30141 | − | 17.4548i | 0.213105 | − | 1.12670i | ||||
\(241\) | 19.3717 | + | 16.2548i | 1.24784 | + | 1.04706i | 0.996869 | + | 0.0790684i | \(0.0251945\pi\) |
0.250972 | + | 0.967994i | \(0.419250\pi\) | |||||||
\(242\) | 0.146677 | − | 0.656393i | 0.00942876 | − | 0.0421945i | ||||
\(243\) | −6.98609 | + | 13.9354i | −0.448158 | + | 0.893954i | ||||
\(244\) | 25.9100 | − | 9.33194i | 1.65872 | − | 0.597416i | ||||
\(245\) | 5.16811 | − | 0.452151i | 0.330178 | − | 0.0288869i | ||||
\(246\) | 4.42592 | − | 13.6854i | 0.282186 | − | 0.872549i | ||||
\(247\) | −3.03410 | − | 17.2072i | −0.193055 | − | 1.09487i | ||||
\(248\) | 20.1358 | − | 12.6856i | 1.27862 | − | 0.805535i | ||||
\(249\) | −0.0446615 | + | 7.87072i | −0.00283031 | + | 0.498787i | ||||
\(250\) | 11.4842 | − | 4.73429i | 0.726321 | − | 0.299423i | ||||
\(251\) | −4.05465 | + | 1.08644i | −0.255927 | + | 0.0685755i | −0.384501 | − | 0.923124i | \(-0.625627\pi\) |
0.128574 | + | 0.991700i | \(0.458960\pi\) | |||||||
\(252\) | −10.8503 | − | 7.83785i | −0.683506 | − | 0.493738i | ||||
\(253\) | 17.4730 | + | 4.68187i | 1.09852 | + | 0.294347i | ||||
\(254\) | 2.08579 | + | 16.0517i | 0.130874 | + | 1.00717i | ||||
\(255\) | −19.0646 | − | 16.1823i | −1.19387 | − | 1.01338i | ||||
\(256\) | 7.81292 | + | 13.9627i | 0.488307 | + | 0.872672i | ||||
\(257\) | 16.1871 | + | 19.2910i | 1.00972 | + | 1.20334i | 0.979010 | + | 0.203812i | \(0.0653332\pi\) |
0.0307126 | + | 0.999528i | \(0.490222\pi\) | |||||||
\(258\) | 3.09888 | + | 24.9554i | 0.192928 | + | 1.55366i | ||||
\(259\) | −13.0251 | − | 6.07368i | −0.809337 | − | 0.377400i | ||||
\(260\) | 18.9573 | − | 1.59434i | 1.17568 | − | 0.0988766i | ||||
\(261\) | 0.761470 | − | 7.69659i | 0.0471338 | − | 0.476407i | ||||
\(262\) | 0.708021 | + | 16.8670i | 0.0437417 | + | 1.04205i | ||||
\(263\) | 12.7193 | + | 2.24276i | 0.784309 | + | 0.138295i | 0.551441 | − | 0.834214i | \(-0.314078\pi\) |
0.232867 | + | 0.972508i | \(0.425189\pi\) | |||||||
\(264\) | −2.34238 | + | 16.4295i | −0.144164 | + | 1.01116i | ||||
\(265\) | −3.74884 | + | 10.2999i | −0.230290 | + | 0.632715i | ||||
\(266\) | −10.9722 | + | 10.0203i | −0.672751 | + | 0.614385i | ||||
\(267\) | −12.2476 | − | 8.67988i | −0.749544 | − | 0.531200i | ||||
\(268\) | 4.83416 | − | 13.1441i | 0.295294 | − | 0.802902i | ||||
\(269\) | −13.0484 | − | 13.0484i | −0.795577 | − | 0.795577i | 0.186818 | − | 0.982395i | \(-0.440183\pi\) |
−0.982395 | + | 0.186818i | \(0.940183\pi\) | |||||||
\(270\) | −12.9870 | + | 13.6512i | −0.790362 | + | 0.830784i | ||||
\(271\) | − | 7.20125i | − | 0.437445i | −0.975787 | − | 0.218722i | \(-0.929811\pi\) | ||
0.975787 | − | 0.218722i | \(-0.0701889\pi\) | |||||||
\(272\) | 22.5225 | + | 0.151461i | 1.36563 | + | 0.00918368i | ||||
\(273\) | 4.97902 | − | 13.4419i | 0.301344 | − | 0.813543i | ||||
\(274\) | −0.995712 | + | 21.9584i | −0.0601532 | + | 1.32655i | ||||
\(275\) | 4.83362 | − | 2.25395i | 0.291478 | − | 0.135918i | ||||
\(276\) | −18.1873 | − | 3.37665i | −1.09475 | − | 0.203250i | ||||
\(277\) | 26.9359 | − | 18.8607i | 1.61842 | − | 1.13323i | 0.720119 | − | 0.693850i | \(-0.244087\pi\) |
0.898301 | − | 0.439380i | \(-0.144802\pi\) | |||||||
\(278\) | 1.23718 | + | 29.4730i | 0.0742011 | + | 1.76767i | ||||
\(279\) | −25.2406 | − | 0.286459i | −1.51112 | − | 0.0171498i | ||||
\(280\) | −9.78410 | − | 12.8849i | −0.584712 | − | 0.770021i | ||||
\(281\) | 1.94955 | − | 0.709578i | 0.116300 | − | 0.0423299i | −0.283214 | − | 0.959057i | \(-0.591401\pi\) |
0.399515 | + | 0.916727i | \(0.369179\pi\) | |||||||
\(282\) | 2.31997 | + | 5.71953i | 0.138152 | + | 0.340593i | ||||
\(283\) | −2.60836 | + | 29.8137i | −0.155051 | + | 1.77224i | 0.377660 | + | 0.925944i | \(0.376729\pi\) |
−0.532711 | + | 0.846297i | \(0.678827\pi\) | |||||||
\(284\) | −4.27763 | − | 16.1818i | −0.253830 | − | 0.960211i | ||||
\(285\) | 11.9001 | + | 17.2020i | 0.704898 | + | 1.01896i | ||||
\(286\) | −17.6245 | + | 2.29017i | −1.04216 | + | 0.135420i | ||||
\(287\) | −6.54973 | − | 11.3445i | −0.386618 | − | 0.669642i | ||||
\(288\) | 1.07501 | − | 16.9365i | 0.0633454 | − | 0.997992i | ||||
\(289\) | 7.35266 | − | 12.7352i | 0.432509 | − | 0.749128i | ||||
\(290\) | 3.59197 | − | 8.63072i | 0.210928 | − | 0.506813i | ||||
\(291\) | 6.11142 | + | 23.3370i | 0.358258 | + | 1.36804i | ||||
\(292\) | 12.1264 | − | 12.0451i | 0.709644 | − | 0.704888i | ||||
\(293\) | 9.42876 | + | 6.60209i | 0.550834 | + | 0.385698i | 0.815601 | − | 0.578614i | \(-0.196406\pi\) |
−0.264768 | + | 0.964312i | \(0.585295\pi\) | |||||||
\(294\) | 4.84633 | − | 1.03707i | 0.282644 | − | 0.0604829i | ||||
\(295\) | 15.7026 | + | 13.1760i | 0.914240 | + | 0.767139i | ||||
\(296\) | −2.28721 | − | 18.0771i | −0.132941 | − | 1.05071i | ||||
\(297\) | 11.5424 | − | 13.2896i | 0.669760 | − | 0.771140i | ||||
\(298\) | 10.5267 | − | 6.68140i | 0.609796 | − | 0.387043i | ||||
\(299\) | −1.72656 | − | 19.7347i | −0.0998495 | − | 1.14128i | ||||
\(300\) | −4.74758 | + | 2.68411i | −0.274102 | + | 0.154967i | ||||
\(301\) | 18.7606 | + | 13.1363i | 1.08134 | + | 0.757165i | ||||
\(302\) | 12.7780 | + | 8.17069i | 0.735288 | + | 0.470170i | ||||
\(303\) | −11.7063 | + | 6.67034i | −0.672507 | + | 0.383201i | ||||
\(304\) | −18.1644 | − | 4.99830i | −1.04180 | − | 0.286672i | ||||
\(305\) | −30.5760 | − | 17.6531i | −1.75078 | − | 1.01081i | ||||
\(306\) | −19.9790 | − | 13.0971i | −1.14212 | − | 0.748712i | ||||
\(307\) | −6.80927 | + | 25.4126i | −0.388626 | + | 1.45037i | 0.443746 | + | 0.896153i | \(0.353649\pi\) |
−0.832371 | + | 0.554218i | \(0.813017\pi\) | |||||||
\(308\) | 9.67630 | + | 11.6108i | 0.551359 | + | 0.661589i | ||||
\(309\) | −2.87118 | + | 6.06713i | −0.163335 | + | 0.345147i | ||||
\(310\) | −29.0829 | − | 9.22358i | −1.65180 | − | 0.523864i | ||||
\(311\) | −8.13703 | − | 9.69733i | −0.461408 | − | 0.549885i | 0.484300 | − | 0.874902i | \(-0.339074\pi\) |
−0.945708 | + | 0.325017i | \(0.894630\pi\) | |||||||
\(312\) | 17.7845 | − | 3.74322i | 1.00685 | − | 0.211918i | ||||
\(313\) | 4.62575 | + | 12.7091i | 0.261463 | + | 0.718363i | 0.999069 | + | 0.0431326i | \(0.0137338\pi\) |
−0.737606 | + | 0.675231i | \(0.764044\pi\) | |||||||
\(314\) | 3.41108 | + | 1.78299i | 0.192498 | + | 0.100620i | ||||
\(315\) | 1.30151 | + | 17.1107i | 0.0733315 | + | 0.964076i | ||||
\(316\) | −3.64557 | − | 5.24386i | −0.205079 | − | 0.294990i | ||||
\(317\) | −12.3972 | + | 8.68060i | −0.696295 | + | 0.487551i | −0.867342 | − | 0.497712i | \(-0.834174\pi\) |
0.171048 | + | 0.985263i | \(0.445285\pi\) | |||||||
\(318\) | −2.34150 | + | 10.2060i | −0.131305 | + | 0.572323i | ||||
\(319\) | −2.98697 | + | 8.20665i | −0.167238 | + | 0.459484i | ||||
\(320\) | 7.20974 | − | 19.2036i | 0.403037 | − | 1.07352i | ||||
\(321\) | 2.22585 | − | 1.84629i | 0.124235 | − | 0.103050i | ||||
\(322\) | −13.3828 | + | 10.2333i | −0.745795 | + | 0.570279i | ||||
\(323\) | −18.7526 | + | 18.7526i | −1.04342 | + | 1.04342i | ||||
\(324\) | −10.7051 | + | 14.4707i | −0.594726 | + | 0.803928i | ||||
\(325\) | −4.12994 | − | 4.12994i | −0.229088 | − | 0.229088i | ||||
\(326\) | −3.05130 | + | 22.8796i | −0.168996 | + | 1.26719i | ||||
\(327\) | −7.55552 | − | 9.10879i | −0.417821 | − | 0.503717i | ||||
\(328\) | 7.74310 | − | 14.6930i | 0.427541 | − | 0.811283i | ||||
\(329\) | 5.28222 | + | 1.92257i | 0.291218 | + | 0.105995i | ||||
\(330\) | 18.0276 | − | 11.2993i | 0.992387 | − | 0.622006i | ||||
\(331\) | 7.73707 | + | 11.0497i | 0.425268 | + | 0.607345i | 0.973418 | − | 0.229035i | \(-0.0735569\pi\) |
−0.548151 | + | 0.836380i | \(0.684668\pi\) | |||||||
\(332\) | −1.60828 | + | 8.94504i | −0.0882660 | + | 0.490923i | ||||
\(333\) | −8.36600 | + | 17.4220i | −0.458454 | + | 0.954719i | ||||
\(334\) | 3.74051 | − | 1.17247i | 0.204672 | − | 0.0641547i | ||||
\(335\) | −16.8718 | + | 6.14083i | −0.921805 | + | 0.335510i | ||||
\(336\) | −10.7926 | − | 11.0636i | −0.588782 | − | 0.603567i | ||||
\(337\) | 2.05835 | − | 1.72716i | 0.112125 | − | 0.0940843i | −0.585001 | − | 0.811032i | \(-0.698906\pi\) |
0.697127 | + | 0.716948i | \(0.254462\pi\) | |||||||
\(338\) | 0.496345 | + | 0.957397i | 0.0269976 | + | 0.0520755i | ||||
\(339\) | −6.58584 | − | 3.11664i | −0.357694 | − | 0.169273i | ||||
\(340\) | −18.4861 | − | 22.1819i | −1.00255 | − | 1.20298i | ||||
\(341\) | 27.5320 | + | 7.37718i | 1.49094 | + | 0.399496i | ||||
\(342\) | 13.3068 | + | 14.9072i | 0.719548 | + | 0.806088i | ||||
\(343\) | 10.0648 | − | 17.4328i | 0.543449 | − | 0.941282i | ||||
\(344\) | −1.41289 | + | 29.0029i | −0.0761778 | + | 1.56373i | ||||
\(345\) | 11.7408 | + | 20.6048i | 0.632103 | + | 1.10932i | ||||
\(346\) | 7.73246 | + | 35.1585i | 0.415700 | + | 1.89013i | ||||
\(347\) | 7.50660 | − | 10.7205i | 0.402975 | − | 0.575508i | −0.565459 | − | 0.824776i | \(-0.691301\pi\) |
0.968435 | + | 0.249268i | \(0.0801900\pi\) | |||||||
\(348\) | 2.38928 | − | 8.60510i | 0.128079 | − | 0.461282i | ||||
\(349\) | −3.59334 | + | 0.314376i | −0.192347 | + | 0.0168282i | −0.182922 | − | 0.983127i | \(-0.558556\pi\) |
−0.00942487 | + | 0.999956i | \(0.503000\pi\) | |||||||
\(350\) | −1.08321 | + | 4.84745i | −0.0578999 | + | 0.259107i | ||||
\(351\) | −17.9993 | − | 6.90039i | −0.960730 | − | 0.368315i | ||||
\(352\) | −5.91583 | + | 18.2269i | −0.315315 | + | 0.971500i | ||||
\(353\) | −5.82864 | + | 6.94631i | −0.310227 | + | 0.369715i | −0.898519 | − | 0.438934i | \(-0.855356\pi\) |
0.588292 | + | 0.808649i | \(0.299801\pi\) | |||||||
\(354\) | 16.4378 | + | 10.6428i | 0.873658 | + | 0.565659i | ||||
\(355\) | −12.3078 | + | 17.5774i | −0.653232 | + | 0.932913i | ||||
\(356\) | −12.2156 | − | 12.2980i | −0.647423 | − | 0.651792i | ||||
\(357\) | −21.0472 | + | 5.51177i | −1.11394 | + | 0.291714i | ||||
\(358\) | −6.14164 | − | 14.8980i | −0.324596 | − | 0.787384i | ||||
\(359\) | 5.72146 | + | 3.30329i | 0.301967 | + | 0.174341i | 0.643326 | − | 0.765592i | \(-0.277554\pi\) |
−0.341359 | + | 0.939933i | \(0.610887\pi\) | |||||||
\(360\) | −17.4756 | + | 12.9599i | −0.921043 | + | 0.683049i | ||||
\(361\) | 2.75659 | − | 1.59152i | 0.145083 | − | 0.0837640i | ||||
\(362\) | 4.04226 | + | 3.11254i | 0.212456 | + | 0.163592i | ||||
\(363\) | −0.677439 | + | 0.468642i | −0.0355563 | + | 0.0245973i | ||||
\(364\) | 8.32415 | − | 14.3065i | 0.436304 | − | 0.749866i | ||||
\(365\) | −21.8290 | − | 1.90979i | −1.14258 | − | 0.0999629i | ||||
\(366\) | −31.0654 | − | 13.1362i | −1.62382 | − | 0.686643i | ||||
\(367\) | 4.93236 | + | 13.5515i | 0.257467 | + | 0.707384i | 0.999322 | + | 0.0368240i | \(0.0117241\pi\) |
−0.741855 | + | 0.670560i | \(0.766054\pi\) | |||||||
\(368\) | −20.0220 | − | 7.44027i | −1.04372 | − | 0.387851i | ||||
\(369\) | −15.3548 | + | 8.63423i | −0.799336 | + | 0.449480i | ||||
\(370\) | −15.8108 | + | 17.1963i | −0.821965 | + | 0.893995i | ||||
\(371\) | 5.46991 | + | 7.81184i | 0.283984 | + | 0.405571i | ||||
\(372\) | −28.6575 | − | 5.32054i | −1.48582 | − | 0.275857i | ||||
\(373\) | −4.90694 | − | 10.5230i | −0.254072 | − | 0.544858i | 0.737358 | − | 0.675502i | \(-0.236073\pi\) |
−0.991429 | + | 0.130644i | \(0.958295\pi\) | |||||||
\(374\) | 18.1909 | + | 19.9190i | 0.940628 | + | 1.02999i | ||||
\(375\) | −14.2662 | − | 5.28434i | −0.736704 | − | 0.272882i | ||||
\(376\) | 1.50745 | + | 6.96572i | 0.0777406 | + | 0.359230i | ||||
\(377\) | 9.56405 | 0.492574 | ||||||||
\(378\) | 3.24821 | + | 16.0683i | 0.167070 | + | 0.826465i | ||||
\(379\) | 4.22810 | − | 4.22810i | 0.217183 | − | 0.217183i | −0.590127 | − | 0.807310i | \(-0.700922\pi\) |
0.807310 | + | 0.590127i | \(0.200922\pi\) | |||||||
\(380\) | 10.1338 | + | 21.9241i | 0.519851 | + | 1.12468i | ||||
\(381\) | 11.4628 | − | 16.1745i | 0.587257 | − | 0.828643i | ||||
\(382\) | 1.09678 | − | 24.1872i | 0.0561162 | − | 1.23753i | ||||
\(383\) | 24.1043 | + | 8.77325i | 1.23167 | + | 0.448292i | 0.874170 | − | 0.485620i | \(-0.161406\pi\) |
0.357502 | + | 0.933912i | \(0.383628\pi\) | |||||||
\(384\) | 4.57437 | − | 19.0545i | 0.233435 | − | 0.972372i | ||||
\(385\) | 3.36477 | − | 19.0826i | 0.171485 | − | 0.972538i | ||||
\(386\) | 6.57079 | − | 7.14660i | 0.334444 | − | 0.363752i | ||||
\(387\) | 17.9506 | − | 25.0268i | 0.912480 | − | 1.27218i | ||||
\(388\) | 2.33449 | + | 27.7580i | 0.118516 | + | 1.40920i | ||||
\(389\) | 5.75460 | − | 12.3408i | 0.291770 | − | 0.625702i | −0.704714 | − | 0.709492i | \(-0.748925\pi\) |
0.996483 | + | 0.0837897i | \(0.0267024\pi\) | |||||||
\(390\) | −18.3802 | − | 14.3196i | −0.930715 | − | 0.725102i | ||||
\(391\) | −23.0333 | + | 19.3272i | −1.16484 | + | 0.977420i | ||||
\(392\) | 5.71849 | − | 0.220784i | 0.288827 | − | 0.0111513i | ||||
\(393\) | 13.3799 | − | 15.7631i | 0.674928 | − | 0.795141i | ||||
\(394\) | −6.11130 | + | 7.93674i | −0.307883 | + | 0.399847i | ||||
\(395\) | −2.11915 | + | 7.90876i | −0.106626 | + | 0.397933i | ||||
\(396\) | 15.7607 | − | 12.8344i | 0.792003 | − | 0.644955i | ||||
\(397\) | 2.32880 | + | 8.69122i | 0.116879 | + | 0.436200i | 0.999421 | − | 0.0340352i | \(-0.0108358\pi\) |
−0.882541 | + | 0.470235i | \(0.844169\pi\) | |||||||
\(398\) | 11.2740 | − | 27.0889i | 0.565113 | − | 1.35784i | ||||
\(399\) | 18.1985 | + | 0.103265i | 0.911063 | + | 0.00516972i | ||||
\(400\) | −5.93207 | + | 2.11403i | −0.296604 | + | 0.105702i | ||||
\(401\) | 10.1222 | − | 1.78482i | 0.505479 | − | 0.0891296i | 0.0849074 | − | 0.996389i | \(-0.472941\pi\) |
0.420572 | + | 0.907259i | \(0.361829\pi\) | |||||||
\(402\) | −15.2722 | + | 7.80796i | −0.761707 | + | 0.389426i | ||||
\(403\) | −2.72052 | − | 31.0957i | −0.135519 | − | 1.54899i | ||||
\(404\) | −14.6372 | + | 5.27184i | −0.728228 | + | 0.262284i | ||||
\(405\) | 23.0284 | − | 1.48900i | 1.14429 | − | 0.0739888i | ||||
\(406\) | −4.35859 | − | 6.86707i | −0.216313 | − | 0.340807i | ||||
\(407\) | 14.0277 | − | 16.7176i | 0.695330 | − | 0.828662i | ||||
\(408\) | −20.1368 | − | 18.8530i | −0.996922 | − | 0.933363i | ||||
\(409\) | 4.05357 | − | 0.714753i | 0.200436 | − | 0.0353423i | −0.0725287 | − | 0.997366i | \(-0.523107\pi\) |
0.272965 | + | 0.962024i | \(0.411996\pi\) | |||||||
\(410\) | −20.7954 | + | 4.57357i | −1.02701 | + | 0.225872i | ||||
\(411\) | 19.1437 | − | 18.9277i | 0.944291 | − | 0.933635i | ||||
\(412\) | −4.46688 | + | 6.33393i | −0.220067 | + | 0.312050i | ||||
\(413\) | 17.2268 | − | 4.61591i | 0.847676 | − | 0.227134i | ||||
\(414\) | 13.5564 | + | 18.1519i | 0.666260 | + | 0.892119i | ||||
\(415\) | 10.0906 | − | 5.82584i | 0.495330 | − | 0.285979i | ||||
\(416\) | 20.9727 | − | 0.739117i | 1.02827 | − | 0.0362382i | ||||
\(417\) | 23.3798 | − | 27.5440i | 1.14491 | − | 1.34884i | ||||
\(418\) | −10.3852 | − | 20.0319i | −0.507955 | − | 0.979790i | ||||
\(419\) | −0.902111 | + | 10.3112i | −0.0440710 | + | 0.503734i | 0.941794 | + | 0.336191i | \(0.109139\pi\) |
−0.985865 | + | 0.167543i | \(0.946417\pi\) | |||||||
\(420\) | −1.90528 | + | 19.7229i | −0.0929679 | + | 0.962381i | ||||
\(421\) | −22.1225 | − | 10.3159i | −1.07819 | − | 0.502767i | −0.199369 | − | 0.979924i | \(-0.563889\pi\) |
−0.878818 | + | 0.477158i | \(0.841667\pi\) | |||||||
\(422\) | 6.35764 | − | 12.1629i | 0.309485 | − | 0.592083i | ||||
\(423\) | 2.66588 | − | 7.07361i | 0.129619 | − | 0.343931i | ||||
\(424\) | −4.68332 | + | 11.1472i | −0.227442 | + | 0.541355i | ||||
\(425\) | −1.53938 | + | 8.73024i | −0.0746708 | + | 0.423479i | ||||
\(426\) | −9.59901 | + | 18.1130i | −0.465073 | + | 0.877577i | ||||
\(427\) | −27.8400 | + | 12.9820i | −1.34727 | + | 0.628244i | ||||
\(428\) | 2.89752 | − | 1.65992i | 0.140057 | − | 0.0802352i | ||||
\(429\) | 17.7593 | + | 12.5860i | 0.857428 | + | 0.607657i | ||||
\(430\) | 29.5719 | − | 22.6125i | 1.42609 | − | 1.09047i | ||||
\(431\) | 12.6586 | 0.609742 | 0.304871 | − | 0.952394i | \(-0.401387\pi\) | ||||
0.304871 | + | 0.952394i | \(0.401387\pi\) | |||||||
\(432\) | −15.0418 | + | 14.3438i | −0.723698 | + | 0.690117i | ||||
\(433\) | −24.2581 | −1.16577 | −0.582886 | − | 0.812554i | \(-0.698076\pi\) | ||||
−0.582886 | + | 0.812554i | \(0.698076\pi\) | |||||||
\(434\) | −21.0872 | + | 16.1245i | −1.01222 | + | 0.774001i | ||||
\(435\) | −10.4039 | + | 4.77974i | −0.498829 | + | 0.229171i | ||||
\(436\) | −6.79284 | − | 11.8574i | −0.325318 | − | 0.567868i | ||||
\(437\) | 22.7941 | − | 10.6291i | 1.09039 | − | 0.508457i | ||||
\(438\) | −20.9195 | + | 0.759245i | −0.999573 | + | 0.0362781i | ||||
\(439\) | 2.24627 | − | 12.7392i | 0.107208 | − | 0.608009i | −0.883107 | − | 0.469172i | \(-0.844552\pi\) |
0.990315 | − | 0.138837i | \(-0.0443364\pi\) | |||||||
\(440\) | 22.7445 | − | 9.28695i | 1.08430 | − | 0.442738i | ||||
\(441\) | −5.22190 | − | 3.09441i | −0.248662 | − | 0.147353i | ||||
\(442\) | 13.6847 | − | 26.1805i | 0.650916 | − | 1.24528i | ||||
\(443\) | −37.0701 | − | 17.2861i | −1.76125 | − | 0.821285i | −0.980520 | − | 0.196419i | \(-0.937069\pi\) |
−0.780732 | − | 0.624866i | \(-0.785154\pi\) | |||||||
\(444\) | −12.9648 | + | 18.1641i | −0.615283 | + | 0.862029i | ||||
\(445\) | −1.93681 | + | 22.1378i | −0.0918136 | + | 1.04943i | ||||
\(446\) | 6.29501 | + | 12.1424i | 0.298077 | + | 0.574959i | ||||
\(447\) | −15.0229 | − | 2.73693i | −0.710560 | − | 0.129452i | ||||
\(448\) | −10.0885 | − | 14.7218i | −0.476638 | − | 0.695538i | ||||
\(449\) | −28.3756 | + | 16.3826i | −1.33913 | + | 0.773145i | −0.986678 | − | 0.162687i | \(-0.947984\pi\) |
−0.352448 | + | 0.935831i | \(0.614651\pi\) | |||||||
\(450\) | 6.50180 | + | 1.53056i | 0.306498 | + | 0.0721512i | ||||
\(451\) | 19.2138 | − | 5.14833i | 0.904743 | − | 0.242425i | ||||
\(452\) | −6.87544 | − | 4.84877i | −0.323394 | − | 0.228067i | ||||
\(453\) | −4.70584 | − | 17.9697i | −0.221100 | − | 0.844289i | ||||
\(454\) | −26.6484 | + | 5.86082i | −1.25067 | + | 0.275062i | ||||
\(455\) | −20.8977 | + | 3.68483i | −0.979701 | + | 0.172748i | ||||
\(456\) | 12.1882 | + | 19.5919i | 0.570764 | + | 0.917473i | ||||
\(457\) | 0.0996178 | − | 0.118720i | 0.00465992 | − | 0.00555348i | −0.763709 | − | 0.645560i | \(-0.776624\pi\) |
0.768369 | + | 0.640007i | \(0.221068\pi\) | |||||||
\(458\) | 10.0653 | + | 15.8582i | 0.470322 | + | 0.741004i | ||||
\(459\) | 7.09042 | + | 28.3861i | 0.330952 | + | 1.32495i | ||||
\(460\) | 9.27923 | + | 25.7637i | 0.432646 | + | 1.20124i | ||||
\(461\) | 2.15635 | + | 24.6472i | 0.100431 | + | 1.14794i | 0.864442 | + | 0.502732i | \(0.167672\pi\) |
−0.764011 | + | 0.645203i | \(0.776773\pi\) | |||||||
\(462\) | 0.943452 | − | 18.4871i | 0.0438934 | − | 0.860098i | ||||
\(463\) | 18.2129 | − | 3.21143i | 0.846427 | − | 0.149248i | 0.266417 | − | 0.963858i | \(-0.414160\pi\) |
0.580009 | + | 0.814610i | \(0.303049\pi\) | |||||||
\(464\) | 4.42089 | − | 9.31653i | 0.205234 | − | 0.432509i | ||||
\(465\) | 18.4998 | + | 32.4667i | 0.857909 | + | 1.50561i | ||||
\(466\) | −10.6074 | + | 25.4872i | −0.491378 | + | 1.18067i | ||||
\(467\) | 1.09906 | + | 4.10174i | 0.0508584 | + | 0.189806i | 0.986682 | − | 0.162664i | \(-0.0520086\pi\) |
−0.935823 | + | 0.352470i | \(0.885342\pi\) | |||||||
\(468\) | −19.1108 | − | 11.4117i | −0.883399 | − | 0.527508i | ||||
\(469\) | −4.04311 | + | 15.0891i | −0.186693 | + | 0.696749i | ||||
\(470\) | 5.57441 | − | 7.23948i | 0.257129 | − | 0.333933i | ||||
\(471\) | −1.58712 | − | 4.43879i | −0.0731307 | − | 0.204528i | ||||
\(472\) | 16.5939 | + | 15.3602i | 0.763797 | + | 0.707010i | ||||
\(473\) | −26.6412 | + | 22.3546i | −1.22496 | + | 1.02786i | ||||
\(474\) | −1.07798 | + | 7.74728i | −0.0495132 | + | 0.355844i | ||||
\(475\) | 3.13377 | − | 6.72040i | 0.143787 | − | 0.308353i | ||||
\(476\) | −25.0344 | + | 2.10543i | −1.14745 | + | 0.0965021i | ||||
\(477\) | 10.5880 | − | 7.23612i | 0.484791 | − | 0.331319i | ||||
\(478\) | 16.2620 | − | 17.6871i | 0.743808 | − | 0.808989i | ||||
\(479\) | −0.360381 | + | 2.04382i | −0.0164662 | + | 0.0933846i | −0.991933 | − | 0.126761i | \(-0.959542\pi\) |
0.975467 | + | 0.220145i | \(0.0706531\pi\) | |||||||
\(480\) | −22.4451 | + | 11.2854i | −1.02447 | + | 0.515105i | ||||
\(481\) | −22.4579 | − | 8.17399i | −1.02399 | − | 0.372702i | ||||
\(482\) | 1.62001 | − | 35.7259i | 0.0737893 | − | 1.62727i | ||||
\(483\) | 20.5442 | + | 1.91491i | 0.934793 | + | 0.0871314i | ||||
\(484\) | −0.863403 | + | 0.399083i | −0.0392456 | + | 0.0181401i | ||||
\(485\) | 25.2523 | − | 25.2523i | 1.14665 | − | 1.14665i | ||||
\(486\) | 21.6565 | − | 4.12262i | 0.982359 | − | 0.187006i | ||||
\(487\) | 11.7360 | 0.531808 | 0.265904 | − | 0.964000i | \(-0.414330\pi\) | ||||
0.265904 | + | 0.964000i | \(0.414330\pi\) | |||||||
\(488\) | −32.7412 | − | 21.0913i | −1.48212 | − | 0.954760i | ||||
\(489\) | 21.7587 | − | 18.0483i | 0.983962 | − | 0.816173i | ||||
\(490\) | −4.94752 | − | 5.41753i | −0.223506 | − | 0.244739i | ||||
\(491\) | 0.295570 | + | 0.633853i | 0.0133389 | + | 0.0286054i | 0.912864 | − | 0.408263i | \(-0.133865\pi\) |
−0.899525 | + | 0.436868i | \(0.856088\pi\) | |||||||
\(492\) | −19.1764 | + | 6.78403i | −0.864539 | + | 0.305848i | ||||
\(493\) | −8.32626 | − | 11.8911i | −0.374996 | − | 0.535549i | ||||
\(494\) | −16.7245 | + | 18.1901i | −0.752472 | + | 0.818412i | ||||
\(495\) | −25.6088 | − | 4.81580i | −1.15103 | − | 0.216454i | ||||
\(496\) | −31.5485 | − | 11.7236i | −1.41657 | − | 0.526403i | ||||
\(497\) | 6.38537 | + | 17.5436i | 0.286423 | + | 0.786940i | ||||
\(498\) | 8.88047 | − | 6.71102i | 0.397943 | − | 0.300728i | ||||
\(499\) | 12.1209 | + | 1.06044i | 0.542607 | + | 0.0474720i | 0.355165 | − | 0.934804i | \(-0.384425\pi\) |
0.187442 | + | 0.982276i | \(0.439980\pi\) | |||||||
\(500\) | −15.1838 | − | 8.83459i | −0.679041 | − | 0.395095i | ||||
\(501\) | −4.33956 | − | 2.05363i | −0.193877 | − | 0.0917494i | ||||
\(502\) | 4.70359 | + | 3.62177i | 0.209932 | + | 0.161648i | ||||
\(503\) | −30.7440 | + | 17.7501i | −1.37081 | + | 0.791437i | −0.991030 | − | 0.133640i | \(-0.957333\pi\) |
−0.379779 | + | 0.925077i | \(0.624000\pi\) | |||||||
\(504\) | 0.515592 | + | 18.9224i | 0.0229663 | + | 0.842870i | ||||
\(505\) | 17.2732 | + | 9.97266i | 0.768645 | + | 0.443777i | ||||
\(506\) | −9.75015 | − | 23.6513i | −0.433447 | − | 1.05143i | ||||
\(507\) | 0.349076 | − | 1.27381i | 0.0155030 | − | 0.0565720i | ||||
\(508\) | 16.2409 | − | 16.1321i | 0.720575 | − | 0.715746i | ||||
\(509\) | 11.0728 | − | 15.8136i | 0.490793 | − | 0.700926i | −0.494999 | − | 0.868894i | \(-0.664832\pi\) |
0.985792 | + | 0.167968i | \(0.0537205\pi\) | |||||||
\(510\) | −1.80242 | + | 35.3187i | −0.0798123 | + | 1.56394i | ||||
\(511\) | −12.2546 | + | 14.6045i | −0.542113 | + | 0.646065i | ||||
\(512\) | 8.97444 | − | 20.7716i | 0.396618 | − | 0.917984i | ||||
\(513\) | 0.416588 | − | 24.4697i | 0.0183928 | − | 1.08037i | ||||
\(514\) | 7.76664 | − | 34.7564i | 0.342572 | − | 1.53304i | ||||
\(515\) | 9.89866 | − | 0.866021i | 0.436187 | − | 0.0381614i | ||||
\(516\) | 25.3733 | − | 24.9188i | 1.11700 | − | 1.09699i | ||||
\(517\) | −4.89597 | + | 6.99217i | −0.215324 | + | 0.307515i | ||||
\(518\) | 4.36565 | + | 19.8500i | 0.191816 | + | 0.872161i | ||||
\(519\) | 22.2609 | − | 38.0567i | 0.977147 | − | 1.67051i | ||||
\(520\) | −18.0760 | − | 19.9274i | −0.792685 | − | 0.873872i | ||||
\(521\) | −13.3464 | + | 23.1167i | −0.584718 | + | 1.01276i | 0.410192 | + | 0.911999i | \(0.365462\pi\) |
−0.994910 | + | 0.100763i | \(0.967872\pi\) | |||||||
\(522\) | −9.30061 | + | 5.75616i | −0.407077 | + | 0.251940i | ||||
\(523\) | 6.45100 | + | 1.72854i | 0.282083 | + | 0.0755838i | 0.397086 | − | 0.917781i | \(-0.370021\pi\) |
−0.115004 | + | 0.993365i | \(0.536688\pi\) | |||||||
\(524\) | 18.3405 | − | 15.2847i | 0.801208 | − | 0.667715i | ||||
\(525\) | 5.00288 | − | 3.46091i | 0.218344 | − | 0.151047i | ||||
\(526\) | −8.40676 | − | 16.2157i | −0.366552 | − | 0.707040i | ||||
\(527\) | −36.2933 | + | 30.4537i | −1.58096 | + | 1.32658i | ||||
\(528\) | 20.4693 | − | 11.4820i | 0.890813 | − | 0.499688i | ||||
\(529\) | 5.18231 | − | 1.88621i | 0.225318 | − | 0.0820090i | ||||
\(530\) | 14.7914 | − | 4.63639i | 0.642498 | − | 0.201392i | ||||
\(531\) | −5.94407 | − | 23.2352i | −0.257951 | − | 1.00832i | ||||
\(532\) | 20.6825 | + | 3.71863i | 0.896699 | + | 0.161223i | ||||
\(533\) | −12.4946 | − | 17.8442i | −0.541202 | − | 0.772917i | ||||
\(534\) | 0.769988 | + | 21.2155i | 0.0333206 | + | 0.918084i | ||||
\(535\) | −4.02290 | − | 1.46421i | −0.173925 | − | 0.0633035i | ||||
\(536\) | −18.9190 | + | 5.86039i | −0.817175 | + | 0.253130i | ||||
\(537\) | −6.85520 | + | 18.5071i | −0.295824 | + | 0.798639i | ||||
\(538\) | −3.44982 | + | 25.8678i | −0.148732 | + | 1.11524i | ||||
\(539\) | 4.84655 | + | 4.84655i | 0.208756 | + | 0.208756i | ||||
\(540\) | 26.4922 | + | 2.86300i | 1.14004 | + | 0.123204i | ||||
\(541\) | 27.1044 | − | 27.1044i | 1.16531 | − | 1.16531i | 0.182012 | − | 0.983296i | \(-0.441739\pi\) |
0.983296 | − | 0.182012i | \(-0.0582609\pi\) | |||||||
\(542\) | −8.09000 | + | 6.18610i | −0.347495 | + | 0.265716i | ||||
\(543\) | −1.05008 | − | 6.15946i | −0.0450631 | − | 0.264328i | ||||
\(544\) | −19.1774 | − | 25.4322i | −0.822222 | − | 1.09040i | ||||
\(545\) | −5.99197 | + | 16.4628i | −0.256668 | + | 0.705189i | ||||
\(546\) | −19.3780 | + | 5.95353i | −0.829303 | + | 0.254787i | ||||
\(547\) | −6.09483 | + | 4.26765i | −0.260596 | + | 0.182472i | −0.696572 | − | 0.717487i | \(-0.745292\pi\) |
0.435976 | + | 0.899958i | \(0.356403\pi\) | |||||||
\(548\) | 25.5237 | − | 17.7443i | 1.09032 | − | 0.758000i | ||||
\(549\) | 17.0319 | + | 37.6344i | 0.726905 | + | 1.60620i | ||||
\(550\) | −6.68435 | − | 3.49395i | −0.285022 | − | 0.148983i | ||||
\(551\) | 4.15293 | + | 11.4101i | 0.176921 | + | 0.486086i | ||||
\(552\) | 11.8301 | + | 23.3325i | 0.503521 | + | 0.993099i | ||||
\(553\) | 4.57905 | + | 5.45710i | 0.194721 | + | 0.232060i | ||||
\(554\) | −44.3272 | − | 14.0583i | −1.88328 | − | 0.597279i | ||||
\(555\) | 28.5150 | − | 2.33178i | 1.21040 | − | 0.0989785i | ||||
\(556\) | 32.0477 | − | 26.7081i | 1.35913 | − | 1.13268i | ||||
\(557\) | 8.91279 | − | 33.2630i | 0.377647 | − | 1.40940i | −0.471792 | − | 0.881710i | \(-0.656393\pi\) |
0.849439 | − | 0.527687i | \(-0.176941\pi\) | |||||||
\(558\) | 21.3607 | + | 28.6018i | 0.904269 | + | 1.21081i | ||||
\(559\) | 32.9831 | + | 19.0428i | 1.39504 | + | 0.805425i | ||||
\(560\) | −6.07029 | + | 22.0602i | −0.256517 | + | 0.932212i | ||||
\(561\) | 0.187467 | − | 33.0375i | 0.00791488 | − | 1.39484i | ||||
\(562\) | −2.47188 | − | 1.58061i | −0.104270 | − | 0.0666739i | ||||
\(563\) | −16.1367 | − | 11.2991i | −0.680083 | − | 0.476199i | 0.181781 | − | 0.983339i | \(-0.441814\pi\) |
−0.861864 | + | 0.507140i | \(0.830703\pi\) | |||||||
\(564\) | 4.43249 | − | 7.51954i | 0.186642 | − | 0.316630i | ||||
\(565\) | 0.940060 | + | 10.7449i | 0.0395486 | + | 0.452043i | ||||
\(566\) | 35.7339 | − | 22.6806i | 1.50201 | − | 0.953338i | ||||
\(567\) | 10.4309 | − | 17.1555i | 0.438055 | − | 0.720462i | ||||
\(568\) | −14.5042 | + | 18.7062i | −0.608585 | + | 0.784894i | ||||
\(569\) | −8.04250 | − | 6.74846i | −0.337159 | − | 0.282910i | 0.458450 | − | 0.888720i | \(-0.348405\pi\) |
−0.795609 | + | 0.605810i | \(0.792849\pi\) | |||||||
\(570\) | 9.10246 | − | 28.1457i | 0.381260 | − | 1.17890i | ||||
\(571\) | −9.44733 | − | 6.61509i | −0.395358 | − | 0.276833i | 0.358945 | − | 0.933359i | \(-0.383136\pi\) |
−0.754304 | + | 0.656526i | \(0.772025\pi\) | |||||||
\(572\) | 17.7128 | + | 17.8323i | 0.740609 | + | 0.745606i | ||||
\(573\) | −21.0869 | + | 20.8489i | −0.880918 | + | 0.870977i | ||||
\(574\) | −7.11814 | + | 17.1033i | −0.297105 | + | 0.713879i | ||||
\(575\) | 4.20354 | − | 7.28074i | 0.175300 | − | 0.303628i | ||||
\(576\) | −19.9502 | + | 13.3413i | −0.831258 | + | 0.555887i | ||||
\(577\) | 16.5843 | + | 28.7249i | 0.690415 | + | 1.19583i | 0.971702 | + | 0.236211i | \(0.0759055\pi\) |
−0.281287 | + | 0.959624i | \(0.590761\pi\) | |||||||
\(578\) | −20.6231 | + | 2.67981i | −0.857807 | + | 0.111466i | ||||
\(579\) | −11.8505 | + | 0.969060i | −0.492490 | + | 0.0402728i | ||||
\(580\) | −12.7815 | + | 3.37877i | −0.530723 | + | 0.140296i | ||||
\(581\) | 0.883543 | − | 10.0989i | 0.0366556 | − | 0.418975i | ||||
\(582\) | 20.9673 | − | 26.9129i | 0.869122 | − | 1.11558i | ||||
\(583\) | −13.6079 | + | 4.95288i | −0.563582 | + | 0.205127i | ||||
\(584\) | −23.9487 | − | 3.27587i | −0.991003 | − | 0.135556i | ||||
\(585\) | 4.63604 | + | 28.1572i | 0.191677 | + | 1.16416i | ||||
\(586\) | −0.682701 | − | 16.2638i | −0.0282021 | − | 0.671852i | ||||
\(587\) | 27.3084 | − | 19.1215i | 1.12714 | − | 0.789229i | 0.147312 | − | 0.989090i | \(-0.452938\pi\) |
0.979824 | + | 0.199861i | \(0.0640489\pi\) | |||||||
\(588\) | −5.32821 | − | 4.55358i | −0.219732 | − | 0.187786i | ||||
\(589\) | 35.9164 | − | 16.7481i | 1.47991 | − | 0.690093i | ||||
\(590\) | 1.31317 | − | 28.9592i | 0.0540623 | − | 1.19223i | ||||
\(591\) | 12.0938 | − | 2.06177i | 0.497470 | − | 0.0848098i | ||||
\(592\) | −18.3434 | + | 18.0983i | −0.753908 | + | 0.743835i | ||||
\(593\) | − | 15.0796i | − | 0.619246i | −0.950859 | − | 0.309623i | \(-0.899797\pi\) | ||
0.950859 | − | 0.309623i | \(-0.100203\pi\) | |||||||
\(594\) | −24.8451 | − | 1.55079i | −1.01940 | − | 0.0636295i | ||||
\(595\) | 22.7745 | + | 22.7745i | 0.933664 | + | 0.933664i | ||||
\(596\) | −16.5488 | − | 6.08635i | −0.677864 | − | 0.249307i | ||||
\(597\) | −32.6543 | + | 15.0020i | −1.33645 | + | 0.613990i | ||||
\(598\) | −20.6871 | + | 18.8923i | −0.845958 | + | 0.772565i | ||||
\(599\) | −8.54899 | + | 23.4881i | −0.349302 | + | 0.959700i | 0.633289 | + | 0.773916i | \(0.281705\pi\) |
−0.982591 | + | 0.185784i | \(0.940518\pi\) | |||||||
\(600\) | 7.09369 | + | 3.02778i | 0.289599 | + | 0.123609i | ||||
\(601\) | −8.34345 | − | 1.47117i | −0.340336 | − | 0.0600105i | 0.000868013 | − | 1.00000i | \(-0.499724\pi\) |
−0.341204 | + | 0.939989i | \(0.610835\pi\) | |||||||
\(602\) | −1.35839 | − | 32.3605i | −0.0553637 | − | 1.31892i | ||||
\(603\) | 20.2285 | + | 5.66701i | 0.823767 | + | 0.230778i | ||||
\(604\) | −1.79757 | − | 21.3738i | −0.0731422 | − | 0.869689i | ||||
\(605\) | 1.10518 | + | 0.515354i | 0.0449320 | + | 0.0209521i | ||||
\(606\) | 17.5496 | + | 7.42099i | 0.712904 | + | 0.301457i | ||||
\(607\) | 11.1484 | + | 13.2861i | 0.452499 | + | 0.539268i | 0.943272 | − | 0.332020i | \(-0.107730\pi\) |
−0.490773 | + | 0.871287i | \(0.663286\pi\) | |||||||
\(608\) | 9.98862 | + | 24.6999i | 0.405092 | + | 1.00171i | ||||
\(609\) | −1.78543 | + | 9.80017i | −0.0723493 | + | 0.397123i | ||||
\(610\) | 6.43400 | + | 49.5142i | 0.260505 | + | 2.00477i | ||||
\(611\) | 9.02928 | + | 2.41939i | 0.365286 | + | 0.0978780i | ||||
\(612\) | 2.44910 | + | 33.6956i | 0.0989989 | + | 1.36206i | ||||
\(613\) | 24.8573 | − | 6.66050i | 1.00398 | − | 0.269015i | 0.280867 | − | 0.959747i | \(-0.409378\pi\) |
0.723111 | + | 0.690732i | \(0.242711\pi\) | |||||||
\(614\) | 34.3983 | − | 14.1805i | 1.38820 | − | 0.572279i | ||||
\(615\) | 22.5097 | + | 13.1668i | 0.907677 | + | 0.530937i | ||||
\(616\) | 4.73156 | − | 20.8446i | 0.190640 | − | 0.839852i | ||||
\(617\) | 0.0475097 | + | 0.269441i | 0.00191267 | + | 0.0108473i | 0.985749 | − | 0.168222i | \(-0.0538025\pi\) |
−0.983836 | + | 0.179069i | \(0.942691\pi\) | |||||||
\(618\) | 9.28235 | − | 1.98633i | 0.373391 | − | 0.0799019i | ||||
\(619\) | 5.86512 | − | 0.513132i | 0.235739 | − | 0.0206245i | 0.0313260 | − | 0.999509i | \(-0.490027\pi\) |
0.204413 | + | 0.978885i | \(0.434471\pi\) | |||||||
\(620\) | 14.6212 | + | 40.5955i | 0.587201 | + | 1.63036i | ||||
\(621\) | 2.88849 | − | 27.5964i | 0.115911 | − | 1.10740i | ||||
\(622\) | −3.90419 | + | 17.4716i | −0.156544 | + | 0.700547i | ||||
\(623\) | 14.8111 | + | 12.4280i | 0.593395 | + | 0.497918i | ||||
\(624\) | −19.4827 | − | 16.7639i | −0.779931 | − | 0.671093i | ||||
\(625\) | 5.27773 | + | 29.9315i | 0.211109 | + | 1.19726i | ||||
\(626\) | 10.3040 | − | 16.1142i | 0.411831 | − | 0.644053i | ||||
\(627\) | −7.30380 | + | 26.6523i | −0.291686 | + | 1.06439i | ||||
\(628\) | −0.927182 | − | 5.36371i | −0.0369986 | − | 0.214035i | ||||
\(629\) | 9.38848 | + | 35.0383i | 0.374343 | + | 1.39707i | ||||
\(630\) | 18.1044 | − | 16.1607i | 0.721295 | − | 0.643858i | ||||
\(631\) | 20.1923 | + | 34.9740i | 0.803842 | + | 1.39229i | 0.917070 | + | 0.398726i | \(0.130547\pi\) |
−0.113228 | + | 0.993569i | \(0.536119\pi\) | |||||||
\(632\) | −2.75938 | + | 8.60013i | −0.109762 | + | 0.342095i | ||||
\(633\) | −15.8275 | + | 5.65923i | −0.629085 | + | 0.224934i | ||||
\(634\) | 20.4015 | + | 6.47029i | 0.810247 | + | 0.256968i | ||||
\(635\) | −29.2356 | − | 2.55779i | −1.16018 | − | 0.101503i | ||||
\(636\) | 13.4770 | − | 6.13678i | 0.534398 | − | 0.243339i | ||||
\(637\) | 3.17218 | − | 6.80276i | 0.125686 | − | 0.269535i | ||||
\(638\) | 11.7854 | − | 3.69415i | 0.466588 | − | 0.146253i | ||||
\(639\) | 23.6882 | − | 8.31861i | 0.937092 | − | 0.329079i | ||||
\(640\) | −27.7671 | + | 8.39698i | −1.09759 | + | 0.331920i | ||||
\(641\) | −20.3611 | − | 3.59021i | −0.804214 | − | 0.141805i | −0.243593 | − | 0.969877i | \(-0.578326\pi\) |
−0.560621 | + | 0.828073i | \(0.689437\pi\) | |||||||
\(642\) | −3.98623 | − | 0.914538i | −0.157324 | − | 0.0360940i | ||||
\(643\) | −20.6120 | − | 44.2027i | −0.812860 | − | 1.74318i | −0.654869 | − | 0.755742i | \(-0.727276\pi\) |
−0.157991 | − | 0.987441i | \(-0.550502\pi\) | |||||||
\(644\) | 22.9925 | + | 6.24376i | 0.906032 | + | 0.246039i | ||||
\(645\) | −45.3964 | − | 4.23137i | −1.78748 | − | 0.166610i | ||||
\(646\) | 37.1761 | + | 4.95792i | 1.46267 | + | 0.195067i | ||||
\(647\) | − | 31.6381i | − | 1.24382i | −0.783088 | − | 0.621911i | \(-0.786356\pi\) | ||
0.783088 | − | 0.621911i | \(-0.213644\pi\) | |||||||
\(648\) | 25.4526 | − | 0.404536i | 0.999874 | − | 0.0158917i | ||||
\(649\) | 27.0818i | 1.06305i | ||||||||
\(650\) | −1.09190 | + | 8.18738i | −0.0428277 | + | 0.321136i | ||||
\(651\) | 32.3713 | + | 3.01730i | 1.26873 | + | 0.118257i | ||||
\(652\) | 28.3245 | − | 16.2264i | 1.10927 | − | 0.635476i | ||||
\(653\) | 3.09991 | + | 6.64778i | 0.121309 | + | 0.260148i | 0.957580 | − | 0.288169i | \(-0.0930465\pi\) |
−0.836271 | + | 0.548317i | \(0.815269\pi\) | |||||||
\(654\) | −3.74254 | + | 16.3127i | −0.146345 | + | 0.637879i | ||||
\(655\) | −30.1429 | − | 5.31500i | −1.17778 | − | 0.207674i | ||||
\(656\) | −23.1579 | + | 3.92297i | −0.904163 | + | 0.153166i | ||||
\(657\) | 19.4515 | + | 16.7016i | 0.758876 | + | 0.651590i | ||||
\(658\) | −2.37774 | − | 7.58568i | −0.0926941 | − | 0.295721i | ||||
\(659\) | −17.8315 | + | 38.2397i | −0.694616 | + | 1.48961i | 0.169084 | + | 0.985602i | \(0.445919\pi\) |
−0.863700 | + | 0.504006i | \(0.831859\pi\) | |||||||
\(660\) | −28.1801 | − | 10.5461i | −1.09691 | − | 0.410505i | ||||
\(661\) | 2.57621 | + | 0.225389i | 0.100203 | + | 0.00876663i | 0.137147 | − | 0.990551i | \(-0.456207\pi\) |
−0.0369439 | + | 0.999317i | \(0.511762\pi\) | |||||||
\(662\) | 5.76701 | − | 18.1840i | 0.224141 | − | 0.706740i | ||||
\(663\) | −34.0683 | + | 12.1814i | −1.32310 | + | 0.473086i | ||||
\(664\) | 11.4306 | − | 5.87730i | 0.443592 | − | 0.228083i | ||||
\(665\) | −13.4703 | − | 23.3313i | −0.522357 | − | 0.904750i | ||||
\(666\) | 26.7588 | − | 5.56752i | 1.03688 | − | 0.215737i | ||||
\(667\) | 3.56307 | + | 13.2976i | 0.137963 | + | 0.514884i | ||||
\(668\) | −4.53039 | − | 3.19497i | −0.175286 | − | 0.123617i | ||||
\(669\) | 4.42723 | − | 16.1554i | 0.171167 | − | 0.624604i | ||||
\(670\) | 21.3921 | + | 13.6789i | 0.826450 | + | 0.528462i | ||||
\(671\) | −8.09992 | − | 45.9370i | −0.312694 | − | 1.77338i | ||||
\(672\) | −3.15785 | + | 21.6285i | −0.121817 | + | 0.834337i | ||||
\(673\) | −20.3151 | − | 17.0464i | −0.783091 | − | 0.657091i | 0.160934 | − | 0.986965i | \(-0.448549\pi\) |
−0.944025 | + | 0.329874i | \(0.892994\pi\) | |||||||
\(674\) | −3.70850 | − | 0.828699i | −0.142846 | − | 0.0319203i | ||||
\(675\) | −4.57751 | − | 6.78014i | −0.176188 | − | 0.260968i | ||||
\(676\) | 0.649180 | − | 1.38004i | 0.0249685 | − | 0.0530783i | ||||
\(677\) | −40.0832 | + | 3.50682i | −1.54052 | + | 0.134778i | −0.825531 | − | 0.564357i | \(-0.809124\pi\) |
−0.714990 | + | 0.699135i | \(0.753569\pi\) | |||||||
\(678\) | 2.15615 | + | 10.0759i | 0.0828064 | + | 0.386964i | ||||
\(679\) | −5.39547 | − | 30.5992i | −0.207059 | − | 1.17429i | ||||
\(680\) | −9.03939 | + | 39.8225i | −0.346645 | + | 1.52712i | ||||
\(681\) | 28.8451 | + | 16.8727i | 1.10535 | + | 0.646563i | ||||
\(682\) | −15.3632 | − | 37.2671i | −0.588287 | − | 1.42703i | ||||
\(683\) | −41.2359 | + | 11.0491i | −1.57785 | + | 0.422783i | −0.938259 | − | 0.345935i | \(-0.887562\pi\) |
−0.639588 | + | 0.768717i | \(0.720895\pi\) | |||||||
\(684\) | 5.31604 | − | 27.7548i | 0.203264 | − | 1.06123i | ||||
\(685\) | −38.4948 | − | 10.3146i | −1.47081 | − | 0.394102i | ||||
\(686\) | −28.2303 | + | 3.66831i | −1.07784 | + | 0.140057i | ||||
\(687\) | 4.12311 | − | 22.6316i | 0.157306 | − | 0.863449i | ||||
\(688\) | 33.7961 | − | 23.3272i | 1.28846 | − | 0.889340i | ||||
\(689\) | 10.1938 | + | 12.1485i | 0.388352 | + | 0.462820i | ||||
\(690\) | 13.0621 | − | 30.8900i | 0.497264 | − | 1.17596i | ||||
\(691\) | 11.9905 | + | 5.59124i | 0.456138 | + | 0.212701i | 0.637087 | − | 0.770792i | \(-0.280139\pi\) |
−0.180949 | + | 0.983493i | \(0.557917\pi\) | |||||||
\(692\) | 32.8552 | − | 38.8890i | 1.24897 | − | 1.47834i | ||||
\(693\) | −16.2120 | + | 15.8482i | −0.615844 | + | 0.602023i | ||||
\(694\) | −18.4920 | + | 0.776234i | −0.701948 | + | 0.0294654i | ||||
\(695\) | −52.6709 | − | 9.28730i | −1.99792 | − | 0.352287i | ||||
\(696\) | −11.7196 | + | 4.70790i | −0.444230 | + | 0.178452i | ||||
\(697\) | −11.3084 | + | 31.0695i | −0.428335 | + | 1.17684i | ||||
\(698\) | 3.43997 | + | 3.76676i | 0.130205 | + | 0.142574i | ||||
\(699\) | 30.7236 | − | 14.1150i | 1.16207 | − | 0.533877i | ||||
\(700\) | 6.37622 | − | 2.94722i | 0.240998 | − | 0.111394i | ||||
\(701\) | −15.7474 | − | 15.7474i | −0.594770 | − | 0.594770i | 0.344146 | − | 0.938916i | \(-0.388168\pi\) |
−0.938916 | + | 0.344146i | \(0.888168\pi\) | |||||||
\(702\) | 7.70992 | + | 26.1483i | 0.290992 | + | 0.986905i | ||||
\(703\) | − | 30.3419i | − | 1.14437i | ||||||
\(704\) | 25.5583 | − | 9.01157i | 0.963266 | − | 0.339636i | ||||
\(705\) | −11.0313 | + | 1.88064i | −0.415463 | + | 0.0708289i | ||||
\(706\) | 12.8106 | + | 0.580902i | 0.482133 | + | 0.0218625i | ||||
\(707\) | 15.7275 | − | 7.33386i | 0.591494 | − | 0.275818i | ||||
\(708\) | −2.16426 | − | 27.6090i | −0.0813379 | − | 1.03761i | ||||
\(709\) | 23.9938 | − | 16.8006i | 0.901107 | − | 0.630962i | −0.0284685 | − | 0.999595i | \(-0.509063\pi\) |
0.929575 | + | 0.368633i | \(0.120174\pi\) | |||||||
\(710\) | 30.3196 | − | 1.27272i | 1.13787 | − | 0.0477641i | ||||
\(711\) | 7.40800 | − | 6.07413i | 0.277822 | − | 0.227798i | ||||
\(712\) | −3.32221 | + | 24.2875i | −0.124505 | + | 0.910213i | ||||
\(713\) | 42.2210 | − | 15.3672i | 1.58119 | − | 0.575505i | ||||
\(714\) | 24.2722 | + | 18.9100i | 0.908364 | + | 0.707688i | ||||
\(715\) | 2.80841 | − | 32.1003i | 0.105029 | − | 1.20048i | ||||
\(716\) | −11.4608 | + | 19.6975i | −0.428311 | + | 0.736129i | ||||
\(717\) | −29.3288 | + | 2.39832i | −1.09530 | + | 0.0895671i | ||||
\(718\) | −1.20395 | − | 9.26521i | −0.0449308 | − | 0.345775i | ||||
\(719\) | 14.8093 | + | 25.6504i | 0.552293 | + | 0.956599i | 0.998109 | + | 0.0614745i | \(0.0195803\pi\) |
−0.445816 | + | 0.895125i | \(0.647086\pi\) | |||||||
\(720\) | 29.5715 | + | 8.49933i | 1.10206 | + | 0.316751i | ||||
\(721\) | 4.32261 | − | 7.48697i | 0.160982 | − | 0.278829i | ||||
\(722\) | −4.15593 | − | 1.72963i | −0.154668 | − | 0.0643703i | ||||
\(723\) | −31.1465 | + | 30.7951i | −1.15835 | + | 1.14528i | ||||
\(724\) | 0.0242595 | − | 7.21491i | 0.000901596 | − | 0.268140i | ||||
\(725\) | 3.32480 | + | 2.32805i | 0.123480 | + | 0.0864617i | ||||
\(726\) | 1.10842 | + | 0.358468i | 0.0411374 | + | 0.0133040i | ||||
\(727\) | −1.77350 | − | 1.48814i | −0.0657754 | − | 0.0551921i | 0.609307 | − | 0.792934i | \(-0.291448\pi\) |
−0.675083 | + | 0.737742i | \(0.735892\pi\) | |||||||
\(728\) | −23.2229 | + | 2.93827i | −0.860698 | + | 0.108900i | ||||
\(729\) | −22.9096 | − | 14.2881i | −0.848504 | − | 0.529189i | ||||
\(730\) | 16.6063 | + | 26.1636i | 0.614626 | + | 0.968359i | ||||
\(731\) | −5.03818 | − | 57.5867i | −0.186344 | − | 2.12992i | ||||
\(732\) | 11.9287 | + | 46.1839i | 0.440897 | + | 1.70700i | ||||
\(733\) | 29.3583 | + | 20.5569i | 1.08437 | + | 0.759287i | 0.972142 | − | 0.234394i | \(-0.0753107\pi\) |
0.112233 | + | 0.993682i | \(0.464200\pi\) | |||||||
\(734\) | 10.9870 | − | 17.1823i | 0.405537 | − | 0.634210i | ||||
\(735\) | −0.0509870 | + | 8.98547i | −0.00188068 | + | 0.331434i | ||||
\(736\) | 8.84100 | + | 28.8845i | 0.325884 | + | 1.06470i | ||||
\(737\) | −20.5431 | − | 11.8606i | −0.756716 | − | 0.436890i | ||||
\(738\) | 22.8901 | + | 9.83271i | 0.842594 | + | 0.361947i | ||||
\(739\) | −4.80324 | + | 17.9259i | −0.176690 | + | 0.659417i | 0.819567 | + | 0.572983i | \(0.194214\pi\) |
−0.996258 | + | 0.0864339i | \(0.972453\pi\) | |||||||
\(740\) | 32.9006 | + | 2.98994i | 1.20945 | + | 0.109912i | ||||
\(741\) | 30.1629 | − | 2.46653i | 1.10806 | − | 0.0906104i | ||||
\(742\) | 4.07713 | − | 12.8556i | 0.149676 | − | 0.471944i | ||||
\(743\) | −9.99252 | − | 11.9086i | −0.366590 | − | 0.436885i | 0.550944 | − | 0.834542i | \(-0.314268\pi\) |
−0.917534 | + | 0.397657i | \(0.869823\pi\) | |||||||
\(744\) | 18.6405 | + | 36.7648i | 0.683394 | + | 1.34786i | ||||
\(745\) | 7.73149 | + | 21.2421i | 0.283260 | + | 0.778250i | ||||
\(746\) | −7.60646 | + | 14.5521i | −0.278492 | + | 0.532790i | ||||
\(747\) | −13.5665 | − | 1.34221i | −0.496372 | − | 0.0491090i | ||||
\(748\) | 6.75079 | − | 37.5470i | 0.246834 | − | 1.37285i | ||||
\(749\) | −3.05113 | + | 2.13643i | −0.111486 | + | 0.0780633i | ||||
\(750\) | 6.31860 | + | 20.5663i | 0.230723 | + | 0.750975i | ||||
\(751\) | 6.33011 | − | 17.3918i | 0.230989 | − | 0.634637i | −0.769000 | − | 0.639248i | \(-0.779246\pi\) |
0.999989 | + | 0.00461145i | \(0.00146787\pi\) | |||||||
\(752\) | 6.53047 | − | 7.67726i | 0.238142 | − | 0.279961i | ||||
\(753\) | −1.22188 | − | 7.16719i | −0.0445277 | − | 0.261187i | ||||
\(754\) | −8.21582 | − | 10.7444i | −0.299202 | − | 0.391289i | ||||
\(755\) | −19.4444 | + | 19.4444i | −0.707655 | + | 0.707655i | ||||
\(756\) | 15.2611 | − | 17.4523i | 0.555041 | − | 0.634734i | ||||
\(757\) | −23.4001 | − | 23.4001i | −0.850492 | − | 0.850492i | 0.139702 | − | 0.990194i | \(-0.455386\pi\) |
−0.990194 | + | 0.139702i | \(0.955386\pi\) | |||||||
\(758\) | −8.38200 | − | 1.11785i | −0.304448 | − | 0.0406021i | ||||
\(759\) | −10.8830 | + | 29.3809i | −0.395027 | + | 1.06646i | ||||
\(760\) | 15.9247 | − | 30.2179i | 0.577648 | − | 1.09612i | ||||
\(761\) | −45.8398 | − | 16.6843i | −1.66169 | − | 0.604807i | −0.671066 | − | 0.741398i | \(-0.734163\pi\) |
−0.990627 | + | 0.136591i | \(0.956385\pi\) | |||||||
\(762\) | −28.0176 | + | 1.01686i | −1.01497 | + | 0.0368369i | ||||
\(763\) | 8.74284 | + | 12.4861i | 0.316512 | + | 0.452026i | ||||
\(764\) | −28.1145 | + | 19.5454i | −1.01715 | + | 0.707129i | ||||
\(765\) | 30.9722 | − | 30.2771i | 1.11980 | − | 1.09467i | ||||
\(766\) | −10.8503 | − | 34.6157i | −0.392038 | − | 1.25071i | ||||
\(767\) | 27.8693 | − | 10.1436i | 1.00630 | − | 0.366263i | ||||
\(768\) | −25.3357 | + | 11.2295i | −0.914224 | + | 0.405210i | ||||
\(769\) | 41.5423 | − | 34.8581i | 1.49805 | − | 1.25701i | 0.614288 | − | 0.789082i | \(-0.289443\pi\) |
0.883764 | − | 0.467933i | \(-0.155001\pi\) | |||||||
\(770\) | −24.3281 | + | 12.6125i | −0.876725 | + | 0.454522i | ||||
\(771\) | −35.8708 | + | 24.8149i | −1.29186 | + | 0.893686i | ||||
\(772\) | −13.6731 | − | 1.24258i | −0.492106 | − | 0.0447216i | ||||
\(773\) | 0.921911 | + | 0.247025i | 0.0331588 | + | 0.00888489i | 0.275360 | − | 0.961341i | \(-0.411203\pi\) |
−0.242201 | + | 0.970226i | \(0.577870\pi\) | |||||||
\(774\) | −43.5356 | + | 1.33275i | −1.56485 | + | 0.0479048i | ||||
\(775\) | 6.62347 | − | 11.4722i | 0.237922 | − | 0.412093i | ||||
\(776\) | 29.1784 | − | 26.4676i | 1.04744 | − | 0.950130i | ||||
\(777\) | 12.5683 | − | 21.4864i | 0.450884 | − | 0.770819i | ||||
\(778\) | −18.8072 | + | 4.13630i | −0.674271 | + | 0.148293i | ||||
\(779\) | 15.8630 | − | 22.6547i | 0.568349 | − | 0.811687i | ||||
\(780\) | −0.297764 | + | 32.9496i | −0.0106617 | + | 1.17978i | ||||
\(781\) | −28.2420 | + | 2.47085i | −1.01058 | + | 0.0884140i | ||||
\(782\) | 41.4988 | + | 9.27330i | 1.48400 | + | 0.331612i | ||||
\(783\) | 13.1510 | + | 2.55041i | 0.469977 | + | 0.0911443i | ||||
\(784\) | −5.16040 | − | 6.23459i | −0.184300 | − | 0.222664i | ||||
\(785\) | −4.48563 | + | 5.34577i | −0.160099 | + | 0.190799i | ||||
\(786\) | −29.2023 | − | 1.49028i | −1.04161 | − | 0.0531565i | ||||
\(787\) | 17.4613 | − | 24.9373i | 0.622427 | − | 0.888917i | −0.376876 | − | 0.926264i | \(-0.623002\pi\) |
0.999302 | + | 0.0373465i | \(0.0118905\pi\) | |||||||
\(788\) | 14.1661 | + | 0.0476321i | 0.504645 | + | 0.00169682i | ||||
\(789\) | −5.91241 | + | 21.5750i | −0.210487 | + | 0.768089i | ||||
\(790\) | 10.7053 | − | 4.41319i | 0.380876 | − | 0.157014i | ||||
\(791\) | 8.12707 | + | 4.69216i | 0.288965 | + | 0.166834i | ||||
\(792\) | −27.9573 | − | 6.68059i | −0.993420 | − | 0.237385i | ||||
\(793\) | −44.2388 | + | 25.5413i | −1.57097 | + | 0.906998i | ||||
\(794\) | 7.76334 | − | 10.0822i | 0.275511 | − | 0.357806i | ||||
\(795\) | −17.1603 | − | 8.12083i | −0.608612 | − | 0.288016i | ||||
\(796\) | −40.1168 | + | 10.6048i | −1.42190 | + | 0.375878i | ||||
\(797\) | 44.5395 | + | 3.89670i | 1.57767 | + | 0.138028i | 0.842063 | − | 0.539380i | \(-0.181341\pi\) |
0.735608 | + | 0.677408i | \(0.236897\pi\) | |||||||
\(798\) | −15.5170 | − | 20.5332i | −0.549297 | − | 0.726867i | ||||
\(799\) | −4.85263 | − | 13.3325i | −0.171674 | − | 0.471670i | ||||
\(800\) | 7.47078 | + | 4.84817i | 0.264132 | + | 0.171409i | ||||
\(801\) | 16.9379 | − | 19.7267i | 0.598470 | − | 0.697010i | ||||
\(802\) | −10.7004 | − | 9.83825i | −0.377844 | − | 0.347401i | ||||
\(803\) | −16.6051 | − | 23.7145i | −0.585980 | − | 0.836866i | ||||
\(804\) | 21.8909 | + | 10.4497i | 0.772031 | + | 0.368534i | ||||
\(805\) | −12.9087 | − | 27.6828i | −0.454972 | − | 0.975690i | ||||
\(806\) | −32.5964 | + | 29.7684i | −1.14816 | + | 1.04855i | ||||
\(807\) | 24.6005 | − | 20.4055i | 0.865978 | − | 0.718308i | ||||
\(808\) | 18.4963 | + | 11.9150i | 0.650697 | + | 0.419169i | ||||
\(809\) | −2.58392 | −0.0908458 | −0.0454229 | − | 0.998968i | \(-0.514464\pi\) | ||||
−0.0454229 | + | 0.998968i | \(0.514464\pi\) | |||||||
\(810\) | −21.4549 | − | 24.5914i | −0.753848 | − | 0.864054i | ||||
\(811\) | −29.1090 | + | 29.1090i | −1.02216 | + | 1.02216i | −0.0224071 | + | 0.999749i | \(0.507133\pi\) |
−0.999749 | + | 0.0224071i | \(0.992867\pi\) | |||||||
\(812\) | −3.97042 | + | 10.7955i | −0.139334 | + | 0.378849i | ||||
\(813\) | 12.4191 | + | 1.15758i | 0.435557 | + | 0.0405979i | ||||
\(814\) | −30.8311 | − | 1.39805i | −1.08063 | − | 0.0490017i | ||||
\(815\) | −39.3256 | − | 14.3134i | −1.37752 | − | 0.501375i | ||||
\(816\) | −3.88162 | + | 38.8174i | −0.135884 | + | 1.35888i | ||||
\(817\) | −8.39639 | + | 47.6183i | −0.293752 | + | 1.66595i | ||||
\(818\) | −4.28511 | − | 3.93985i | −0.149825 | − | 0.137754i | ||||
\(819\) | 22.3813 | + | 10.7474i | 0.782065 | + | 0.375546i | ||||
\(820\) | 23.0019 | + | 19.4331i | 0.803262 | + | 0.678633i | ||||
\(821\) | 3.04624 | − | 6.53268i | 0.106314 | − | 0.227992i | −0.845953 | − | 0.533258i | \(-0.820968\pi\) |
0.952267 | + | 0.305266i | \(0.0987453\pi\) | |||||||
\(822\) | −37.7088 | − | 5.24691i | −1.31524 | − | 0.183007i | ||||
\(823\) | 15.3288 | − | 12.8624i | 0.534329 | − | 0.448356i | −0.335264 | − | 0.942124i | \(-0.608825\pi\) |
0.869593 | + | 0.493769i | \(0.164381\pi\) | |||||||
\(824\) | 10.9528 | − | 0.422876i | 0.381560 | − | 0.0147316i | ||||
\(825\) | 3.11012 | + | 8.69825i | 0.108281 | + | 0.302834i | ||||
\(826\) | −19.9840 | − | 15.3877i | −0.695331 | − | 0.535406i | ||||
\(827\) | 3.17280 | − | 11.8410i | 0.110329 | − | 0.411753i | −0.888566 | − | 0.458749i | \(-0.848298\pi\) |
0.998895 | + | 0.0469952i | \(0.0149645\pi\) | |||||||
\(828\) | 8.74682 | − | 30.8225i | 0.303973 | − | 1.07116i | ||||
\(829\) | −5.19578 | − | 19.3909i | −0.180457 | − | 0.673475i | −0.995558 | − | 0.0941551i | \(-0.969985\pi\) |
0.815101 | − | 0.579319i | \(-0.196682\pi\) | |||||||
\(830\) | −15.2130 | − | 6.33143i | −0.528052 | − | 0.219767i | ||||
\(831\) | 28.1969 | + | 49.4848i | 0.978139 | + | 1.71661i | ||||
\(832\) | −18.8466 | − | 22.9262i | −0.653387 | − | 0.794823i | ||||
\(833\) | −11.2196 | + | 1.97832i | −0.388736 | + | 0.0685447i | ||||
\(834\) | −51.0273 | − | 2.60408i | −1.76693 | − | 0.0901718i | ||||
\(835\) | 0.619427 | + | 7.08009i | 0.0214362 | + | 0.245017i | ||||
\(836\) | −13.5829 | + | 28.8748i | −0.469776 | + | 0.998657i | ||||
\(837\) | 4.55136 | − | 43.4833i | 0.157318 | − | 1.50300i | ||||
\(838\) | 12.3587 | − | 7.84417i | 0.426924 | − | 0.270973i | ||||
\(839\) | 14.7825 | − | 17.6171i | 0.510349 | − | 0.608211i | −0.447921 | − | 0.894073i | \(-0.647836\pi\) |
0.958271 | + | 0.285862i | \(0.0922800\pi\) | |||||||
\(840\) | 23.7938 | − | 14.8022i | 0.820963 | − | 0.510725i | ||||
\(841\) | 22.0140 | − | 3.88167i | 0.759104 | − | 0.133851i | ||||
\(842\) | 7.41489 | + | 33.7145i | 0.255534 | + | 1.16188i | ||||
\(843\) | 0.910338 | + | 3.47621i | 0.0313537 | + | 0.119727i | ||||
\(844\) | −19.1255 | + | 3.30607i | −0.658326 | + | 0.113800i | ||||
\(845\) | −1.88860 | + | 0.506049i | −0.0649698 | + | 0.0174086i | ||||
\(846\) | −10.2367 | + | 3.08156i | −0.351945 | + | 0.105946i | ||||
\(847\) | 0.918822 | − | 0.530482i | 0.0315711 | − | 0.0182276i | ||||
\(848\) | 16.5460 | − | 4.31445i | 0.568193 | − | 0.148159i | ||||
\(849\) | −50.9967 | − | 9.29077i | −1.75020 | − | 0.318858i | ||||
\(850\) | 11.1301 | − | 5.77019i | 0.381758 | − | 0.197916i | ||||
\(851\) | 2.99823 | − | 34.2699i | 0.102778 | − | 1.17476i | ||||
\(852\) | 28.5943 | − | 4.77593i | 0.979624 | − | 0.163621i | ||||
\(853\) | −17.6836 | − | 8.24602i | −0.605476 | − | 0.282338i | 0.0956052 | − | 0.995419i | \(-0.469521\pi\) |
−0.701082 | + | 0.713081i | \(0.747299\pi\) | |||||||
\(854\) | 38.4997 | + | 20.1240i | 1.31743 | + | 0.688629i | ||||
\(855\) | −31.5790 | + | 17.7574i | −1.07998 | + | 0.607290i | ||||
\(856\) | −4.35384 | − | 1.82920i | −0.148811 | − | 0.0625207i | ||||
\(857\) | −3.10522 | + | 17.6106i | −0.106072 | + | 0.601567i | 0.884714 | + | 0.466134i | \(0.154354\pi\) |
−0.990787 | + | 0.135433i | \(0.956758\pi\) | |||||||
\(858\) | −1.11650 | − | 30.7629i | −0.0381165 | − | 1.05023i | ||||
\(859\) | 19.4454 | − | 9.06753i | 0.663468 | − | 0.309380i | −0.0615563 | − | 0.998104i | \(-0.519606\pi\) |
0.725024 | + | 0.688724i | \(0.241829\pi\) | |||||||
\(860\) | −50.8065 | − | 13.7968i | −1.73249 | − | 0.470467i | ||||
\(861\) | 20.6172 | − | 9.47192i | 0.702633 | − | 0.322802i | ||||
\(862\) | −10.8741 | − | 14.2209i | −0.370374 | − | 0.484364i | ||||
\(863\) | 37.9394 | 1.29147 | 0.645737 | − | 0.763560i | \(-0.276550\pi\) | ||||
0.645737 | + | 0.763560i | \(0.276550\pi\) | |||||||
\(864\) | 29.0354 | + | 4.57641i | 0.987806 | + | 0.155693i | ||||
\(865\) | −65.2679 | −2.21918 | ||||||||
\(866\) | 20.8385 | + | 27.2520i | 0.708121 | + | 0.926060i | ||||
\(867\) | 20.7809 | + | 14.7273i | 0.705755 | + | 0.500167i | ||||
\(868\) | 36.2291 | + | 9.83823i | 1.22969 | + | 0.333931i | ||||
\(869\) | −9.80394 | + | 4.57165i | −0.332576 | + | 0.155083i | ||||
\(870\) | 14.3069 | + | 7.58198i | 0.485050 | + | 0.257053i | ||||
\(871\) | −4.51095 | + | 25.5829i | −0.152848 | + | 0.866843i | ||||
\(872\) | −7.48558 | + | 17.8171i | −0.253494 | + | 0.603363i | ||||
\(873\) | −41.2288 | + | 6.78826i | −1.39538 | + | 0.229748i | ||||
\(874\) | −31.5217 | − | 16.4766i | −1.06624 | − | 0.557328i | ||||
\(875\) | 17.7588 | + | 8.28106i | 0.600357 | + | 0.279951i | ||||
\(876\) | 18.8235 | + | 22.8491i | 0.635986 | + | 0.772000i | ||||
\(877\) | −3.18787 | + | 36.4376i | −0.107647 | + | 1.23041i | 0.729712 | + | 0.683755i | \(0.239654\pi\) |
−0.837358 | + | 0.546654i | \(0.815901\pi\) | |||||||
\(878\) | −16.2410 | + | 8.41988i | −0.548109 | + | 0.284157i | ||||
\(879\) | −12.9014 | + | 15.1993i | −0.435155 | + | 0.512661i | ||||
\(880\) | −29.9713 | − | 17.5737i | −1.01033 | − | 0.592411i | ||||
\(881\) | 38.7225 | − | 22.3565i | 1.30460 | − | 0.753208i | 0.323407 | − | 0.946260i | \(-0.395172\pi\) |
0.981189 | + | 0.193052i | \(0.0618385\pi\) | |||||||
\(882\) | 1.00947 | + | 8.52457i | 0.0339906 | + | 0.287037i | ||||
\(883\) | 9.70507 | − | 2.60047i | 0.326602 | − | 0.0875126i | −0.0917927 | − | 0.995778i | \(-0.529260\pi\) |
0.418394 | + | 0.908266i | \(0.362593\pi\) | |||||||
\(884\) | −41.1673 | + | 7.11626i | −1.38460 | + | 0.239346i | ||||
\(885\) | −25.2472 | + | 24.9623i | −0.848676 | + | 0.839099i | ||||
\(886\) | 12.4249 | + | 56.4944i | 0.417423 | + | 1.89797i | ||||
\(887\) | −12.1363 | + | 2.13995i | −0.407496 | + | 0.0718526i | −0.373639 | − | 0.927574i | \(-0.621890\pi\) |
−0.0338569 | + | 0.999427i | \(0.510779\pi\) | |||||||
\(888\) | 31.5430 | − | 1.03862i | 1.05851 | − | 0.0348539i | ||||
\(889\) | −16.4127 | + | 19.5598i | −0.550463 | + | 0.656016i | ||||
\(890\) | 26.5338 | − | 16.8412i | 0.889415 | − | 0.564520i | ||||
\(891\) | 21.0635 | + | 22.0420i | 0.705654 | + | 0.738436i | ||||
\(892\) | 8.23337 | − | 17.5026i | 0.275673 | − | 0.586031i | ||||
\(893\) | 1.03435 | + | 11.8226i | 0.0346131 | + | 0.395630i | ||||
\(894\) | 9.83045 | + | 19.2281i | 0.328779 | + | 0.643085i | ||||
\(895\) | 28.7723 | − | 5.07334i | 0.961753 | − | 0.169583i | ||||
\(896\) | −7.87232 | + | 23.9801i | −0.262996 | + | 0.801118i | ||||
\(897\) | 34.3114 | + | 0.194696i | 1.14563 | + | 0.00650072i | ||||
\(898\) | 42.7800 | + | 17.8044i | 1.42759 | + | 0.594140i | ||||
\(899\) | 5.61429 | + | 20.9528i | 0.187247 | + | 0.698816i | ||||
\(900\) | −3.86579 | − | 8.61902i | −0.128860 | − | 0.287301i | ||||
\(901\) | 6.22989 | − | 23.2503i | 0.207548 | − | 0.774579i | ||||
\(902\) | −22.2890 | − | 17.1626i | −0.742142 | − | 0.571451i | ||||
\(903\) | −25.6703 | + | 30.2425i | −0.854254 | + | 1.00641i | ||||
\(904\) | 0.459029 | + | 11.8892i | 0.0152671 | + | 0.395430i | ||||
\(905\) | −7.08573 | + | 5.94563i | −0.235538 | + | 0.197640i | ||||
\(906\) | −16.1450 | + | 20.7231i | −0.536381 | + | 0.688480i | ||||
\(907\) | 3.80958 | − | 8.16967i | 0.126495 | − | 0.271269i | −0.832854 | − | 0.553493i | \(-0.813294\pi\) |
0.959349 | + | 0.282224i | \(0.0910722\pi\) | |||||||
\(908\) | 29.4759 | + | 24.9026i | 0.978193 | + | 0.826422i | ||||
\(909\) | −9.62176 | − | 21.2606i | −0.319134 | − | 0.705169i | ||||
\(910\) | 22.0914 | + | 20.3115i | 0.732323 | + | 0.673319i | ||||
\(911\) | −1.38700 | + | 7.86607i | −0.0459534 | + | 0.260615i | −0.999125 | − | 0.0418141i | \(-0.986686\pi\) |
0.953172 | + | 0.302429i | \(0.0977974\pi\) | |||||||
\(912\) | 11.5398 | − | 30.5224i | 0.382121 | − | 1.01070i | ||||
\(913\) | 14.4655 | + | 5.26502i | 0.478739 | + | 0.174247i | ||||
\(914\) | −0.218947 | − | 0.00992824i | −0.00724211 | − | 0.000328397i | ||||
\(915\) | 35.3591 | − | 49.8930i | 1.16893 | − | 1.64941i | ||||
\(916\) | 9.16891 | − | 24.9302i | 0.302949 | − | 0.823718i | ||||
\(917\) | −18.8305 | + | 18.8305i | −0.621837 | + | 0.621837i | ||||
\(918\) | 25.7985 | − | 32.3500i | 0.851478 | − | 1.06771i | ||||
\(919\) | −2.03955 | −0.0672785 | −0.0336393 | − | 0.999434i | \(-0.510710\pi\) | ||||
−0.0336393 | + | 0.999434i | \(0.510710\pi\) | |||||||
\(920\) | 20.9722 | − | 32.5562i | 0.691433 | − | 1.07335i | ||||
\(921\) | −42.7313 | − | 15.8281i | −1.40804 | − | 0.521553i | ||||
\(922\) | 25.8367 | − | 23.5952i | 0.850887 | − | 0.777067i | ||||
\(923\) | 13.1208 | + | 28.1377i | 0.431877 | + | 0.926163i | ||||
\(924\) | −21.5792 | + | 14.8211i | −0.709903 | + | 0.487579i | ||||
\(925\) | −5.81746 | − | 8.30819i | −0.191277 | − | 0.273172i | ||||
\(926\) | −19.2533 | − | 17.7020i | −0.632701 | − | 0.581724i | ||||
\(927\) | −10.0017 | − | 5.92683i | −0.328499 | − | 0.194663i | ||||
\(928\) | −14.2640 | + | 3.03669i | −0.468240 | + | 0.0996843i | ||||
\(929\) | −16.5309 | − | 45.4182i | −0.542360 | − | 1.49012i | −0.843811 | − | 0.536640i | \(-0.819693\pi\) |
0.301451 | − | 0.953482i | \(-0.402529\pi\) | |||||||
\(930\) | 20.5817 | − | 48.6730i | 0.674902 | − | 1.59605i | ||||
\(931\) | 9.49324 | + | 0.830551i | 0.311128 | + | 0.0272202i | ||||
\(932\) | 37.7448 | − | 9.97779i | 1.23637 | − | 0.326834i | ||||
\(933\) | 18.0318 | − | 12.4741i | 0.590334 | − | 0.408384i | ||||
\(934\) | 3.66384 | − | 4.75823i | 0.119885 | − | 0.155694i | ||||
\(935\) | −42.3557 | + | 24.4541i | −1.38518 | + | 0.799733i | ||||
\(936\) | 3.59667 | + | 31.2725i | 0.117561 | + | 1.02217i | ||||
\(937\) | 19.8964 | + | 11.4872i | 0.649988 | + | 0.375271i | 0.788452 | − | 0.615097i | \(-0.210883\pi\) |
−0.138463 | + | 0.990368i | \(0.544216\pi\) | |||||||
\(938\) | 20.4245 | − | 8.41990i | 0.666883 | − | 0.274920i | ||||
\(939\) | −22.6615 | + | 5.93451i | −0.739529 | + | 0.193665i | ||||
\(940\) | −12.9216 | − | 0.0434475i | −0.421455 | − | 0.00141710i | ||||
\(941\) | −4.46412 | + | 6.37543i | −0.145526 | + | 0.207833i | −0.885297 | − | 0.465026i | \(-0.846045\pi\) |
0.739771 | + | 0.672859i | \(0.234934\pi\) | |||||||
\(942\) | −3.62322 | + | 5.59605i | −0.118051 | + | 0.182329i | ||||
\(943\) | 20.1551 | − | 24.0200i | 0.656342 | − | 0.782198i | ||||
\(944\) | 3.00122 | − | 31.8368i | 0.0976814 | − | 1.03620i | ||||
\(945\) | −29.7178 | − | 0.505934i | −0.966721 | − | 0.0164580i | ||||
\(946\) | 47.9991 | + | 10.7258i | 1.56059 | + | 0.348727i | ||||
\(947\) | 22.5758 | − | 1.97513i | 0.733616 | − | 0.0641831i | 0.285776 | − | 0.958297i | \(-0.407749\pi\) |
0.447840 | + | 0.894113i | \(0.352193\pi\) | |||||||
\(948\) | 9.62944 | − | 5.44413i | 0.312750 | − | 0.176817i | ||||
\(949\) | −18.1846 | + | 25.9702i | −0.590296 | + | 0.843030i | ||||
\(950\) | −10.2418 | + | 2.25250i | −0.332288 | + | 0.0730807i | ||||
\(951\) | −12.9775 | − | 22.7752i | −0.420826 | − | 0.738538i | ||||
\(952\) | 23.8706 | + | 26.3154i | 0.773649 | + | 0.852887i | ||||
\(953\) | 0.983838 | − | 1.70406i | 0.0318696 | − | 0.0551998i | −0.849651 | − | 0.527346i | \(-0.823187\pi\) |
0.881520 | + | 0.472146i | \(0.156521\pi\) | |||||||
\(954\) | −17.2246 | − | 5.67867i | −0.557667 | − | 0.183854i | ||||
\(955\) | 42.4022 | + | 11.3616i | 1.37210 | + | 0.367654i | ||||
\(956\) | −33.8396 | − | 3.07527i | −1.09445 | − | 0.0994612i | ||||
\(957\) | −13.6728 | − | 6.47045i | −0.441980 | − | 0.209160i | ||||
\(958\) | 2.60564 | − | 1.35085i | 0.0841845 | − | 0.0436439i | ||||
\(959\) | −26.5617 | + | 22.2879i | −0.857722 | + | 0.719714i | ||||
\(960\) | 31.9592 | + | 15.5207i | 1.03148 | + | 0.500927i | ||||
\(961\) | 37.3967 | − | 13.6113i | 1.20634 | − | 0.439073i | ||||
\(962\) | 10.1092 | + | 32.2512i | 0.325934 | + | 1.03982i | ||||
\(963\) | 2.82627 | + | 4.13543i | 0.0910752 | + | 0.133262i | ||||
\(964\) | −41.5267 | + | 28.8697i | −1.33748 | + | 0.929830i | ||||
\(965\) | 10.0958 | + | 14.4183i | 0.324996 | + | 0.464143i | ||||
\(966\) | −15.4969 | − | 24.7247i | −0.498603 | − | 0.795503i | ||||
\(967\) | 12.4988 | + | 4.54919i | 0.401934 | + | 0.146292i | 0.535074 | − | 0.844805i | \(-0.320284\pi\) |
−0.133140 | + | 0.991097i | \(0.542506\pi\) | |||||||
\(968\) | 1.19003 | + | 0.627137i | 0.0382489 | + | 0.0201570i | ||||
\(969\) | −29.3259 | − | 35.3547i | −0.942082 | − | 1.13576i | ||||
\(970\) | −50.0613 | − | 6.67634i | −1.60737 | − | 0.214364i | ||||
\(971\) | 37.2480 | + | 37.2480i | 1.19535 | + | 1.19535i | 0.975545 | + | 0.219802i | \(0.0705411\pi\) |
0.219802 | + | 0.975545i | \(0.429459\pi\) | |||||||
\(972\) | −23.2350 | − | 20.7878i | −0.745264 | − | 0.666770i | ||||
\(973\) | −32.9039 | + | 32.9039i | −1.05485 | + | 1.05485i | ||||
\(974\) | −10.0816 | − | 13.1844i | −0.323034 | − | 0.422455i | ||||
\(975\) | 7.78626 | − | 6.45851i | 0.249360 | − | 0.206838i | ||||
\(976\) | 4.43133 | + | 54.9001i | 0.141843 | + | 1.75731i | ||||
\(977\) | −18.0611 | + | 49.6224i | −0.577825 | + | 1.58756i | 0.214012 | + | 0.976831i | \(0.431347\pi\) |
−0.791838 | + | 0.610731i | \(0.790875\pi\) | |||||||
\(978\) | −38.9672 | − | 8.94002i | −1.24603 | − | 0.285870i | ||||
\(979\) | −24.0500 | + | 16.8400i | −0.768642 | + | 0.538209i | ||||
\(980\) | −1.83607 | + | 10.2119i | −0.0586510 | + | 0.326209i | ||||
\(981\) | 16.9233 | − | 11.5659i | 0.540320 | − | 0.369270i | ||||
\(982\) | 0.458177 | − | 0.876548i | 0.0146210 | − | 0.0279718i | ||||
\(983\) | −8.51629 | − | 23.3983i | −0.271627 | − | 0.746290i | −0.998243 | − | 0.0592462i | \(-0.981130\pi\) |
0.726616 | − | 0.687044i | \(-0.241092\pi\) | |||||||
\(984\) | 24.0944 | + | 15.7154i | 0.768102 | + | 0.500989i | ||||
\(985\) | −11.6739 | − | 13.9124i | −0.371962 | − | 0.443287i | ||||
\(986\) | −6.20618 | + | 19.5687i | −0.197645 | + | 0.623194i | ||||
\(987\) | −4.16472 | + | 8.80054i | −0.132564 | + | 0.280124i | ||||
\(988\) | 34.8020 | + | 3.16273i | 1.10720 | + | 0.100620i | ||||
\(989\) | −14.1887 | + | 52.9531i | −0.451176 | + | 1.68381i | ||||
\(990\) | 16.5886 | + | 32.9063i | 0.527221 | + | 1.04583i | ||||
\(991\) | −52.6117 | − | 30.3754i | −1.67127 | − | 0.964905i | −0.966931 | − | 0.255037i | \(-0.917912\pi\) |
−0.704334 | − | 0.709869i | \(-0.748754\pi\) | |||||||
\(992\) | 13.9307 | + | 45.5130i | 0.442299 | + | 1.44504i | ||||
\(993\) | −20.2997 | + | 11.5670i | −0.644192 | + | 0.367066i | ||||
\(994\) | 14.2236 | − | 22.2440i | 0.451145 | − | 0.705536i | ||||
\(995\) | 43.5768 | + | 30.5128i | 1.38148 | + | 0.967321i | ||||
\(996\) | −15.1679 | − | 4.21149i | −0.480613 | − | 0.133446i | ||||
\(997\) | −3.02286 | − | 34.5514i | −0.0957349 | − | 1.09425i | −0.880367 | − | 0.474293i | \(-0.842704\pi\) |
0.784632 | − | 0.619961i | \(-0.212852\pi\) | |||||||
\(998\) | −9.22094 | − | 14.5278i | −0.291884 | − | 0.459870i | ||||
\(999\) | −28.7007 | − | 17.2283i | −0.908050 | − | 0.545080i |
(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 | 432.2.bj.a.11.21 | ✓ | 840 | |
16.3 | odd | 4 | inner | 432.2.bj.a.227.60 | yes | 840 | |
27.5 | odd | 18 | inner | 432.2.bj.a.59.60 | yes | 840 | |
432.275 | even | 36 | inner | 432.2.bj.a.275.21 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.bj.a.11.21 | ✓ | 840 | 1.1 | even | 1 | trivial | |
432.2.bj.a.59.60 | yes | 840 | 27.5 | odd | 18 | inner | |
432.2.bj.a.227.60 | yes | 840 | 16.3 | odd | 4 | inner | |
432.2.bj.a.275.21 | yes | 840 | 432.275 | even | 36 | inner |