Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(299,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.299");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.m (of order \(2\), degree \(1\), not 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 299.4 | ||
Character | \(\chi\) | \(=\) | 600.299 |
Dual form | 600.2.m.e.299.1 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13191 | + | 0.847808i | −0.800382 | + | 0.599491i | ||||
\(3\) | −1.71500 | + | 0.242431i | −0.990156 | + | 0.139968i | ||||
\(4\) | 0.562443 | − | 1.91929i | 0.281221 | − | 0.959643i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.73569 | − | 1.72840i | 0.708593 | − | 0.705617i | ||||
\(7\) | 3.08957 | 1.16775 | 0.583873 | − | 0.811845i | \(-0.301537\pi\) | ||||
0.583873 | + | 0.811845i | \(0.301537\pi\) | |||||||
\(8\) | 0.990551 | + | 2.64930i | 0.350213 | + | 0.936670i | ||||
\(9\) | 2.88245 | − | 0.831539i | 0.960818 | − | 0.277180i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 2.54654i | − | 0.767810i | −0.923373 | − | 0.383905i | \(-0.874579\pi\) | ||
0.923373 | − | 0.383905i | \(-0.125421\pi\) | |||||||
\(12\) | −0.499295 | + | 3.42793i | −0.144134 | + | 0.989558i | ||||
\(13\) | −5.06696 | −1.40532 | −0.702661 | − | 0.711525i | \(-0.748005\pi\) | ||||
−0.702661 | + | 0.711525i | \(0.748005\pi\) | |||||||
\(14\) | −3.49711 | + | 2.61936i | −0.934642 | + | 0.700053i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.36732 | − | 2.15898i | −0.841829 | − | 0.539744i | ||||
\(17\) | −0.214179 | −0.0519459 | −0.0259730 | − | 0.999663i | \(-0.508268\pi\) | ||||
−0.0259730 | + | 0.999663i | \(0.508268\pi\) | |||||||
\(18\) | −2.55770 | + | 3.38500i | −0.602855 | + | 0.797851i | ||||
\(19\) | −2.60975 | −0.598717 | −0.299359 | − | 0.954141i | \(-0.596773\pi\) | ||||
−0.299359 | + | 0.954141i | \(0.596773\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −5.29861 | + | 0.749006i | −1.15625 | + | 0.163447i | ||||
\(22\) | 2.15898 | + | 2.88245i | 0.460295 | + | 0.614541i | ||||
\(23\) | − | 4.47647i | − | 0.933408i | −0.884414 | − | 0.466704i | \(-0.845441\pi\) | ||
0.884414 | − | 0.466704i | \(-0.154559\pi\) | |||||||
\(24\) | −2.34107 | − | 4.30342i | −0.477869 | − | 0.878431i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 5.73534 | − | 4.29581i | 1.12479 | − | 0.842478i | ||||
\(27\) | −4.74182 | + | 2.12489i | −0.912564 | + | 0.408934i | ||||
\(28\) | 1.73770 | − | 5.92976i | 0.328395 | − | 1.12062i | ||||
\(29\) | 7.86770 | 1.46100 | 0.730498 | − | 0.682915i | \(-0.239288\pi\) | ||||
0.730498 | + | 0.682915i | \(0.239288\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 4.58758i | − | 0.823953i | −0.911194 | − | 0.411977i | \(-0.864839\pi\) | ||
0.911194 | − | 0.411977i | \(-0.135161\pi\) | |||||||
\(32\) | 5.64190 | − | 0.411070i | 0.997356 | − | 0.0726676i | ||||
\(33\) | 0.617360 | + | 4.36732i | 0.107469 | + | 0.760252i | ||||
\(34\) | 0.242431 | − | 0.181582i | 0.0415766 | − | 0.0311411i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.0252553 | − | 5.99995i | 0.00420921 | − | 0.999991i | ||||
\(37\) | 7.67714 | 1.26211 | 0.631057 | − | 0.775736i | \(-0.282621\pi\) | ||||
0.631057 | + | 0.775736i | \(0.282621\pi\) | |||||||
\(38\) | 2.95400 | − | 2.21257i | 0.479202 | − | 0.358925i | ||||
\(39\) | 8.68984 | − | 1.22839i | 1.39149 | − | 0.196700i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.26946i | 1.44765i | 0.689985 | + | 0.723823i | \(0.257617\pi\) | ||||
−0.689985 | + | 0.723823i | \(0.742383\pi\) | |||||||
\(42\) | 5.36253 | − | 5.34001i | 0.827457 | − | 0.823981i | ||||
\(43\) | − | 11.4049i | − | 1.73924i | −0.493725 | − | 0.869618i | \(-0.664365\pi\) | ||
0.493725 | − | 0.869618i | \(-0.335635\pi\) | |||||||
\(44\) | −4.88754 | − | 1.43228i | −0.736824 | − | 0.215925i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.79518 | + | 5.06696i | 0.559569 | + | 0.747082i | ||||
\(47\) | − | 10.5972i | − | 1.54576i | −0.634551 | − | 0.772881i | \(-0.718815\pi\) | ||
0.634551 | − | 0.772881i | \(-0.281185\pi\) | |||||||
\(48\) | 6.29835 | + | 2.88630i | 0.909089 | + | 0.416602i | ||||
\(49\) | 2.54541 | 0.363631 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.367316 | − | 0.0519235i | 0.0514346 | − | 0.00727075i | ||||
\(52\) | −2.84987 | + | 9.72494i | −0.395206 | + | 1.34861i | ||||
\(53\) | − | 9.51198i | − | 1.30657i | −0.757112 | − | 0.653285i | \(-0.773390\pi\) | ||
0.757112 | − | 0.653285i | \(-0.226610\pi\) | |||||||
\(54\) | 3.56582 | − | 6.42533i | 0.485247 | − | 0.874377i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.06037 | + | 8.18520i | 0.408960 | + | 1.09379i | ||||
\(57\) | 4.47572 | − | 0.632684i | 0.592823 | − | 0.0838010i | ||||
\(58\) | −8.90553 | + | 6.67030i | −1.16935 | + | 0.875853i | ||||
\(59\) | − | 0.428357i | − | 0.0557674i | −0.999611 | − | 0.0278837i | \(-0.991123\pi\) | ||
0.999611 | − | 0.0278837i | \(-0.00887680\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 1.11217i | − | 0.142399i | −0.997462 | − | 0.0711995i | \(-0.977317\pi\) | ||
0.997462 | − | 0.0711995i | \(-0.0226827\pi\) | |||||||
\(62\) | 3.88939 | + | 5.19273i | 0.493953 | + | 0.659477i | ||||
\(63\) | 8.90553 | − | 2.56909i | 1.12199 | − | 0.323675i | ||||
\(64\) | −6.03762 | + | 5.24854i | −0.754702 | + | 0.656068i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −4.40144 | − | 4.42001i | −0.541780 | − | 0.544065i | ||||
\(67\) | 2.35998i | 0.288317i | 0.989555 | + | 0.144159i | \(0.0460475\pi\) | ||||
−0.989555 | + | 0.144159i | \(0.953952\pi\) | |||||||
\(68\) | −0.120463 | + | 0.411070i | −0.0146083 | + | 0.0498495i | ||||
\(69\) | 1.08523 | + | 7.67714i | 0.130647 | + | 0.924219i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.12075 | 0.726399 | 0.363199 | − | 0.931711i | \(-0.381684\pi\) | ||||
0.363199 | + | 0.931711i | \(0.381684\pi\) | |||||||
\(72\) | 5.05822 | + | 6.81281i | 0.596117 | + | 0.802898i | ||||
\(73\) | 12.0147i | 1.40621i | 0.711085 | + | 0.703106i | \(0.248204\pi\) | ||||
−0.711085 | + | 0.703106i | \(0.751796\pi\) | |||||||
\(74\) | −8.68984 | + | 6.50874i | −1.01017 | + | 0.756626i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.46783 | + | 5.00885i | −0.168372 | + | 0.574555i | ||||
\(77\) | − | 7.86770i | − | 0.896608i | ||||||
\(78\) | −8.79468 | + | 8.75774i | −0.995802 | + | 0.991619i | ||||
\(79\) | − | 11.6319i | − | 1.30869i | −0.756194 | − | 0.654347i | \(-0.772943\pi\) | ||
0.756194 | − | 0.654347i | \(-0.227057\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.61709 | − | 4.79374i | 0.846343 | − | 0.532638i | ||||
\(82\) | −7.85873 | − | 10.4922i | −0.867851 | − | 1.15867i | ||||
\(83\) | 2.29913 | 0.252362 | 0.126181 | − | 0.992007i | \(-0.459728\pi\) | ||||
0.126181 | + | 0.992007i | \(0.459728\pi\) | |||||||
\(84\) | −1.54261 | + | 10.5908i | −0.168312 | + | 1.15555i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 9.66919 | + | 12.9094i | 1.04266 | + | 1.39205i | ||||
\(87\) | −13.4931 | + | 1.90737i | −1.44661 | + | 0.204492i | ||||
\(88\) | 6.74655 | − | 2.52248i | 0.719185 | − | 0.268897i | ||||
\(89\) | − | 12.4853i | − | 1.32344i | −0.749752 | − | 0.661719i | \(-0.769827\pi\) | ||
0.749752 | − | 0.661719i | \(-0.230173\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.6547 | −1.64106 | ||||||||
\(92\) | −8.59162 | − | 2.51776i | −0.895738 | − | 0.262494i | ||||
\(93\) | 1.11217 | + | 7.86770i | 0.115327 | + | 0.815842i | ||||
\(94\) | 8.98440 | + | 11.9951i | 0.926670 | + | 1.23720i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −9.57620 | + | 2.07276i | −0.977367 | + | 0.211550i | ||||
\(97\) | − | 8.04496i | − | 0.816842i | −0.912794 | − | 0.408421i | \(-0.866080\pi\) | ||
0.912794 | − | 0.408421i | \(-0.133920\pi\) | |||||||
\(98\) | −2.88118 | + | 2.15802i | −0.291043 | + | 0.217993i | ||||
\(99\) | −2.11755 | − | 7.34028i | −0.212821 | − | 0.737726i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.08523 | 0.107985 | 0.0539924 | − | 0.998541i | \(-0.482805\pi\) | ||||
0.0539924 | + | 0.998541i | \(0.482805\pi\) | |||||||
\(102\) | −0.371748 | + | 0.370187i | −0.0368085 | + | 0.0366539i | ||||
\(103\) | 11.6319 | 1.14613 | 0.573064 | − | 0.819511i | \(-0.305755\pi\) | ||||
0.573064 | + | 0.819511i | \(0.305755\pi\) | |||||||
\(104\) | −5.01908 | − | 13.4239i | −0.492162 | − | 1.31632i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.06433 | + | 10.7667i | 0.783277 | + | 1.04576i | ||||
\(107\) | 6.50874 | 0.629224 | 0.314612 | − | 0.949220i | \(-0.398126\pi\) | ||||
0.314612 | + | 0.949220i | \(0.398126\pi\) | |||||||
\(108\) | 1.41126 | + | 10.2960i | 0.135799 | + | 0.990736i | ||||
\(109\) | 5.06696i | 0.485327i | 0.970111 | + | 0.242663i | \(0.0780210\pi\) | ||||
−0.970111 | + | 0.242663i | \(0.921979\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −13.1663 | + | 1.86118i | −1.24969 | + | 0.176655i | ||||
\(112\) | −10.4035 | − | 6.67030i | −0.983043 | − | 0.630284i | ||||
\(113\) | −6.05364 | −0.569479 | −0.284739 | − | 0.958605i | \(-0.591907\pi\) | ||||
−0.284739 | + | 0.958605i | \(0.591907\pi\) | |||||||
\(114\) | −4.52972 | + | 4.51069i | −0.424247 | + | 0.422465i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.42513 | − | 15.1004i | 0.410863 | − | 1.40203i | ||||
\(117\) | −14.6053 | + | 4.21337i | −1.35026 | + | 0.389526i | ||||
\(118\) | 0.363165 | + | 0.484862i | 0.0334320 | + | 0.0446352i | ||||
\(119\) | −0.661719 | −0.0606597 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.51514 | 0.410467 | ||||||||
\(122\) | 0.942908 | + | 1.25888i | 0.0853668 | + | 0.113973i | ||||
\(123\) | −2.24720 | − | 15.8971i | −0.202624 | − | 1.43340i | ||||
\(124\) | −8.80487 | − | 2.58025i | −0.790701 | − | 0.231713i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −7.90217 | + | 10.4582i | −0.703981 | + | 0.931687i | ||||
\(127\) | −0.958763 | −0.0850765 | −0.0425382 | − | 0.999095i | \(-0.513544\pi\) | ||||
−0.0425382 | + | 0.999095i | \(0.513544\pi\) | |||||||
\(128\) | 2.38428 | − | 11.0596i | 0.210743 | − | 0.977542i | ||||
\(129\) | 2.76491 | + | 19.5595i | 0.243437 | + | 1.72211i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.78126i | 0.330370i | 0.986263 | + | 0.165185i | \(0.0528221\pi\) | ||||
−0.986263 | + | 0.165185i | \(0.947178\pi\) | |||||||
\(132\) | 8.72936 | + | 1.27147i | 0.759793 | + | 0.110668i | ||||
\(133\) | −8.06299 | −0.699149 | ||||||||
\(134\) | −2.00081 | − | 2.67128i | −0.172843 | − | 0.230764i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.212155 | − | 0.567424i | −0.0181921 | − | 0.0486562i | ||||
\(137\) | −13.1878 | −1.12671 | −0.563355 | − | 0.826215i | \(-0.690490\pi\) | ||||
−0.563355 | + | 0.826215i | \(0.690490\pi\) | |||||||
\(138\) | −7.73713 | − | 7.76977i | −0.658628 | − | 0.661407i | ||||
\(139\) | −17.2947 | −1.46692 | −0.733460 | − | 0.679733i | \(-0.762096\pi\) | ||||
−0.733460 | + | 0.679733i | \(0.762096\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.56909 | + | 18.1742i | 0.216357 | + | 1.53055i | ||||
\(142\) | −6.92814 | + | 5.18922i | −0.581396 | + | 0.435470i | ||||
\(143\) | 12.9032i | 1.07902i | ||||||||
\(144\) | −11.5014 | − | 3.42310i | −0.958451 | − | 0.285258i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −10.1861 | − | 13.5995i | −0.843011 | − | 1.12551i | ||||
\(147\) | −4.36539 | + | 0.617087i | −0.360051 | + | 0.0508965i | ||||
\(148\) | 4.31795 | − | 14.7346i | 0.354934 | − | 1.21118i | ||||
\(149\) | −3.81475 | −0.312516 | −0.156258 | − | 0.987716i | \(-0.549943\pi\) | ||||
−0.156258 | + | 0.987716i | \(0.549943\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 13.2235i | − | 1.07611i | −0.842909 | − | 0.538056i | \(-0.819159\pi\) | ||
0.842909 | − | 0.538056i | \(-0.180841\pi\) | |||||||
\(152\) | −2.58509 | − | 6.91401i | −0.209678 | − | 0.560800i | ||||
\(153\) | −0.617360 | + | 0.178098i | −0.0499106 | + | 0.0143983i | ||||
\(154\) | 6.67030 | + | 8.90553i | 0.537508 | + | 0.717628i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.52991 | − | 17.3692i | 0.202555 | − | 1.39065i | ||||
\(157\) | 6.56497 | 0.523942 | 0.261971 | − | 0.965076i | \(-0.415628\pi\) | ||||
0.261971 | + | 0.965076i | \(0.415628\pi\) | |||||||
\(158\) | 9.86165 | + | 13.1663i | 0.784550 | + | 1.04746i | ||||
\(159\) | 2.30600 | + | 16.3131i | 0.182878 | + | 1.29371i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 13.8303i | − | 1.08998i | ||||||
\(162\) | −4.55769 | + | 11.8839i | −0.358086 | + | 0.933689i | ||||
\(163\) | 8.13957i | 0.637540i | 0.947832 | + | 0.318770i | \(0.103270\pi\) | ||||
−0.947832 | + | 0.318770i | \(0.896730\pi\) | |||||||
\(164\) | 17.7907 | + | 5.21354i | 1.38922 | + | 0.407109i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.60241 | + | 1.94922i | −0.201986 | + | 0.151289i | ||||
\(167\) | 21.8561i | 1.69128i | 0.533754 | + | 0.845640i | \(0.320781\pi\) | ||||
−0.533754 | + | 0.845640i | \(0.679219\pi\) | |||||||
\(168\) | −7.23289 | − | 13.2957i | −0.558029 | − | 1.02578i | ||||
\(169\) | 12.6741 | 0.974929 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.52248 | + | 2.17011i | −0.575258 | + | 0.165952i | ||||
\(172\) | −21.8893 | − | 6.41462i | −1.66905 | − | 0.489110i | ||||
\(173\) | − | 9.51198i | − | 0.723182i | −0.932337 | − | 0.361591i | \(-0.882234\pi\) | ||
0.932337 | − | 0.361591i | \(-0.117766\pi\) | |||||||
\(174\) | 13.6559 | − | 13.5985i | 1.03525 | − | 1.03090i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −5.49792 | + | 8.57500i | −0.414421 | + | 0.646365i | ||||
\(177\) | 0.103847 | + | 0.734633i | 0.00780562 | + | 0.0552184i | ||||
\(178\) | 10.5851 | + | 14.1322i | 0.793389 | + | 1.05926i | ||||
\(179\) | 16.2398i | 1.21382i | 0.794771 | + | 0.606910i | \(0.207591\pi\) | ||||
−0.794771 | + | 0.606910i | \(0.792409\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.74808i | 0.724569i | 0.932068 | + | 0.362284i | \(0.118003\pi\) | ||||
−0.932068 | + | 0.362284i | \(0.881997\pi\) | |||||||
\(182\) | 17.7197 | − | 13.2722i | 1.31347 | − | 0.983800i | ||||
\(183\) | 0.269625 | + | 1.90737i | 0.0199312 | + | 0.140997i | ||||
\(184\) | 11.8595 | − | 4.43417i | 0.874295 | − | 0.326891i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −7.92918 | − | 7.96262i | −0.581396 | − | 0.583848i | ||||
\(187\) | 0.545414i | 0.0398846i | ||||||||
\(188\) | −20.3391 | − | 5.96033i | −1.48338 | − | 0.434701i | ||||
\(189\) | −14.6502 | + | 6.56497i | −1.06564 | + | 0.477531i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.30600 | 0.166856 | 0.0834281 | − | 0.996514i | \(-0.473413\pi\) | ||||
0.0834281 | + | 0.996514i | \(0.473413\pi\) | |||||||
\(192\) | 9.08211 | − | 10.4650i | 0.655445 | − | 0.755243i | ||||
\(193\) | 11.2498i | 0.809776i | 0.914366 | + | 0.404888i | \(0.132690\pi\) | ||||
−0.914366 | + | 0.404888i | \(0.867310\pi\) | |||||||
\(194\) | 6.82058 | + | 9.10617i | 0.489689 | + | 0.653785i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.43165 | − | 4.88538i | 0.102261 | − | 0.348956i | ||||
\(197\) | − | 6.78247i | − | 0.483231i | −0.970372 | − | 0.241615i | \(-0.922323\pi\) | ||
0.970372 | − | 0.241615i | \(-0.0776772\pi\) | |||||||
\(198\) | 8.62002 | + | 6.51327i | 0.612598 | + | 0.462878i | ||||
\(199\) | − | 0.632789i | − | 0.0448573i | −0.999748 | − | 0.0224286i | \(-0.992860\pi\) | ||
0.999748 | − | 0.0224286i | \(-0.00713985\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.572131 | − | 4.04736i | −0.0403550 | − | 0.285479i | ||||
\(202\) | −1.22839 | + | 0.920070i | −0.0864291 | + | 0.0647359i | ||||
\(203\) | 24.3078 | 1.70607 | ||||||||
\(204\) | 0.106938 | − | 0.734189i | 0.00748718 | − | 0.0514035i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −13.1663 | + | 9.86165i | −0.917340 | + | 0.687093i | ||||
\(207\) | −3.72235 | − | 12.9032i | −0.258722 | − | 0.896835i | ||||
\(208\) | 17.0621 | + | 10.9394i | 1.18304 | + | 0.758514i | ||||
\(209\) | 6.64582i | 0.459701i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.6400 | 0.801332 | 0.400666 | − | 0.916224i | \(-0.368779\pi\) | ||||
0.400666 | + | 0.916224i | \(0.368779\pi\) | |||||||
\(212\) | −18.2562 | − | 5.34994i | −1.25384 | − | 0.367436i | ||||
\(213\) | −10.4971 | + | 1.48386i | −0.719248 | + | 0.101672i | ||||
\(214\) | −7.36732 | + | 5.51817i | −0.503619 | + | 0.377214i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −10.3265 | − | 10.4577i | −0.702628 | − | 0.711557i | ||||
\(217\) | − | 14.1736i | − | 0.962168i | ||||||
\(218\) | −4.29581 | − | 5.73534i | −0.290949 | − | 0.388447i | ||||
\(219\) | −2.91273 | − | 20.6052i | −0.196824 | − | 1.39237i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.08523 | 0.0730008 | ||||||||
\(222\) | 13.3252 | − | 13.2692i | 0.894326 | − | 0.890570i | ||||
\(223\) | −10.7667 | −0.720992 | −0.360496 | − | 0.932761i | \(-0.617393\pi\) | ||||
−0.360496 | + | 0.932761i | \(0.617393\pi\) | |||||||
\(224\) | 17.4310 | − | 1.27003i | 1.16466 | − | 0.0848573i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.85218 | − | 5.13233i | 0.455800 | − | 0.341397i | ||||
\(227\) | 12.8365 | 0.851991 | 0.425996 | − | 0.904725i | \(-0.359924\pi\) | ||||
0.425996 | + | 0.904725i | \(0.359924\pi\) | |||||||
\(228\) | 1.30303 | − | 8.94603i | 0.0862956 | − | 0.592465i | ||||
\(229\) | − | 14.9684i | − | 0.989143i | −0.869137 | − | 0.494571i | \(-0.835325\pi\) | ||
0.869137 | − | 0.494571i | \(-0.164675\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.90737 | + | 13.4931i | 0.125496 | + | 0.887781i | ||||
\(232\) | 7.79336 | + | 20.8439i | 0.511659 | + | 1.36847i | ||||
\(233\) | −20.8980 | −1.36908 | −0.684538 | − | 0.728977i | \(-0.739996\pi\) | ||||
−0.684538 | + | 0.728977i | \(0.739996\pi\) | |||||||
\(234\) | 12.9597 | − | 17.1516i | 0.847205 | − | 1.12124i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.822140 | − | 0.240926i | −0.0535167 | − | 0.0156830i | ||||
\(237\) | 2.81994 | + | 19.9488i | 0.183175 | + | 1.29581i | ||||
\(238\) | 0.749006 | − | 0.561011i | 0.0485509 | − | 0.0363649i | ||||
\(239\) | −28.6386 | −1.85248 | −0.926239 | − | 0.376937i | \(-0.876977\pi\) | ||||
−0.926239 | + | 0.376937i | \(0.876977\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.24977 | 0.595830 | 0.297915 | − | 0.954592i | \(-0.403709\pi\) | ||||
0.297915 | + | 0.954592i | \(0.403709\pi\) | |||||||
\(242\) | −5.11073 | + | 3.82797i | −0.328530 | + | 0.246071i | ||||
\(243\) | −11.9012 | + | 10.0679i | −0.763460 | + | 0.645856i | ||||
\(244\) | −2.13457 | − | 0.625532i | −0.136652 | − | 0.0400456i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 16.0214 | + | 16.0889i | 1.02148 | + | 1.02579i | ||||
\(247\) | 13.2235 | 0.841390 | ||||||||
\(248\) | 12.1539 | − | 4.54423i | 0.771773 | − | 0.288559i | ||||
\(249\) | −3.94301 | + | 0.557380i | −0.249878 | + | 0.0353225i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 1.23472i | − | 0.0779348i | −0.999240 | − | 0.0389674i | \(-0.987593\pi\) | ||
0.999240 | − | 0.0389674i | \(-0.0124069\pi\) | |||||||
\(252\) | 0.0780279 | − | 18.5372i | 0.00491529 | − | 1.16774i | ||||
\(253\) | −11.3995 | −0.716680 | ||||||||
\(254\) | 1.08523 | − | 0.812847i | 0.0680937 | − | 0.0510026i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.67764 | + | 14.5399i | 0.417352 | + | 0.908745i | ||||
\(257\) | 18.6054 | 1.16057 | 0.580286 | − | 0.814413i | \(-0.302941\pi\) | ||||
0.580286 | + | 0.814413i | \(0.302941\pi\) | |||||||
\(258\) | −19.7123 | − | 19.7955i | −1.22723 | − | 1.23241i | ||||
\(259\) | 23.7190 | 1.47383 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 22.6783 | − | 6.54230i | 1.40375 | − | 0.404958i | ||||
\(262\) | −3.20578 | − | 4.28005i | −0.198054 | − | 0.264422i | ||||
\(263\) | 11.2589i | 0.694255i | 0.937818 | + | 0.347128i | \(0.112843\pi\) | ||||
−0.937818 | + | 0.347128i | \(0.887157\pi\) | |||||||
\(264\) | −10.9588 | + | 5.96163i | −0.674469 | + | 0.366913i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 9.12658 | − | 6.83586i | 0.559586 | − | 0.419134i | ||||
\(267\) | 3.02682 | + | 21.4123i | 0.185238 | + | 1.31041i | ||||
\(268\) | 4.52947 | + | 1.32735i | 0.276681 | + | 0.0810809i | ||||
\(269\) | −11.6824 | −0.712291 | −0.356146 | − | 0.934430i | \(-0.615909\pi\) | ||||
−0.356146 | + | 0.934430i | \(0.615909\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(272\) | 0.721207 | + | 0.462407i | 0.0437296 | + | 0.0280375i | ||||
\(273\) | 26.8478 | − | 3.79518i | 1.62490 | − | 0.229695i | ||||
\(274\) | 14.9274 | − | 11.1807i | 0.901798 | − | 0.675452i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 15.3450 | + | 2.23508i | 0.923661 | + | 0.134536i | ||||
\(277\) | 17.4252 | 1.04698 | 0.523490 | − | 0.852032i | \(-0.324630\pi\) | ||||
0.523490 | + | 0.852032i | \(0.324630\pi\) | |||||||
\(278\) | 19.5761 | − | 14.6626i | 1.17410 | − | 0.879405i | ||||
\(279\) | −3.81475 | − | 13.2235i | −0.228383 | − | 0.791669i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.9736i | 0.773941i | 0.922092 | + | 0.386971i | \(0.126479\pi\) | ||||
−0.922092 | + | 0.386971i | \(0.873521\pi\) | |||||||
\(282\) | −18.3162 | − | 18.3935i | −1.09072 | − | 1.09532i | ||||
\(283\) | − | 12.3893i | − | 0.736470i | −0.929733 | − | 0.368235i | \(-0.879962\pi\) | ||
0.929733 | − | 0.368235i | \(-0.120038\pi\) | |||||||
\(284\) | 3.44257 | − | 11.7475i | 0.204279 | − | 0.697084i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.9394 | − | 14.6053i | −0.646863 | − | 0.863628i | ||||
\(287\) | 28.6386i | 1.69048i | ||||||||
\(288\) | 15.9207 | − | 5.87635i | 0.938136 | − | 0.346267i | ||||
\(289\) | −16.9541 | −0.997302 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.95035 | + | 13.7971i | 0.114331 | + | 0.808801i | ||||
\(292\) | 23.0596 | + | 6.75757i | 1.34946 | + | 0.395457i | ||||
\(293\) | 31.7916i | 1.85729i | 0.370973 | + | 0.928644i | \(0.379024\pi\) | ||||
−0.370973 | + | 0.928644i | \(0.620976\pi\) | |||||||
\(294\) | 4.41806 | − | 4.39950i | 0.257666 | − | 0.256584i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 7.60460 | + | 20.3391i | 0.442009 | + | 1.18219i | ||||
\(297\) | 5.41110 | + | 12.0752i | 0.313984 | + | 0.700676i | ||||
\(298\) | 4.31795 | − | 3.23417i | 0.250132 | − | 0.187351i | ||||
\(299\) | 22.6821i | 1.31174i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 35.2363i | − | 2.03099i | ||||||
\(302\) | 11.2110 | + | 14.9678i | 0.645119 | + | 0.861300i | ||||
\(303\) | −1.86118 | + | 0.263094i | −0.106922 | + | 0.0151144i | ||||
\(304\) | 8.78785 | + | 5.63438i | 0.504017 | + | 0.323154i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.547804 | − | 0.724994i | 0.0313158 | − | 0.0414451i | ||||
\(307\) | − | 10.3288i | − | 0.589495i | −0.955575 | − | 0.294747i | \(-0.904764\pi\) | ||
0.955575 | − | 0.294747i | \(-0.0952355\pi\) | |||||||
\(308\) | −15.1004 | − | 4.42513i | −0.860423 | − | 0.252145i | ||||
\(309\) | −19.9488 | + | 2.81994i | −1.13485 | + | 0.160421i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.13819 | 0.291360 | 0.145680 | − | 0.989332i | \(-0.453463\pi\) | ||||
0.145680 | + | 0.989332i | \(0.453463\pi\) | |||||||
\(312\) | 11.8621 | + | 21.8052i | 0.671559 | + | 1.23448i | ||||
\(313\) | − | 15.6741i | − | 0.885951i | −0.896534 | − | 0.442976i | \(-0.853923\pi\) | ||
0.896534 | − | 0.442976i | \(-0.146077\pi\) | |||||||
\(314\) | −7.43096 | + | 5.56584i | −0.419353 | + | 0.314098i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −22.3250 | − | 6.54230i | −1.25588 | − | 0.368033i | ||||
\(317\) | 8.95293i | 0.502847i | 0.967877 | + | 0.251423i | \(0.0808987\pi\) | ||||
−0.967877 | + | 0.251423i | \(0.919101\pi\) | |||||||
\(318\) | −16.4405 | − | 16.5099i | −0.921939 | − | 0.925827i | ||||
\(319\) | − | 20.0354i | − | 1.12177i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.1625 | + | 1.57792i | −0.623030 | + | 0.0880710i | ||||
\(322\) | 11.7255 | + | 15.6547i | 0.653435 | + | 0.872403i | ||||
\(323\) | 0.558952 | 0.0311009 | ||||||||
\(324\) | −4.91639 | − | 17.3156i | −0.273133 | − | 0.961976i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −6.90079 | − | 9.21326i | −0.382199 | − | 0.510275i | ||||
\(327\) | −1.22839 | − | 8.68984i | −0.0679300 | − | 0.480549i | ||||
\(328\) | −24.5576 | + | 9.18188i | −1.35597 | + | 0.506984i | ||||
\(329\) | − | 32.7408i | − | 1.80506i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.48486 | −0.246510 | −0.123255 | − | 0.992375i | \(-0.539333\pi\) | ||||
−0.123255 | + | 0.992375i | \(0.539333\pi\) | |||||||
\(332\) | 1.29313 | − | 4.41268i | 0.0709696 | − | 0.242178i | ||||
\(333\) | 22.1290 | − | 6.38384i | 1.21266 | − | 0.349832i | ||||
\(334\) | −18.5298 | − | 24.7392i | −1.01391 | − | 1.35367i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 19.4592 | + | 8.91743i | 1.06158 | + | 0.486486i | ||||
\(337\) | 25.9991i | 1.41626i | 0.706082 | + | 0.708130i | \(0.250461\pi\) | ||||
−0.706082 | + | 0.708130i | \(0.749539\pi\) | |||||||
\(338\) | −14.3459 | + | 10.7452i | −0.780315 | + | 0.584461i | ||||
\(339\) | 10.3820 | − | 1.46759i | 0.563873 | − | 0.0797085i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −11.6824 | −0.632640 | ||||||||
\(342\) | 6.67494 | − | 8.83398i | 0.360939 | − | 0.477687i | ||||
\(343\) | −13.7627 | −0.743118 | ||||||||
\(344\) | 30.2151 | − | 11.2972i | 1.62909 | − | 0.609103i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 8.06433 | + | 10.7667i | 0.433541 | + | 0.578822i | ||||
\(347\) | −10.7184 | −0.575392 | −0.287696 | − | 0.957722i | \(-0.592889\pi\) | ||||
−0.287696 | + | 0.957722i | \(0.592889\pi\) | |||||||
\(348\) | −3.92831 | + | 26.9699i | −0.210579 | + | 1.44574i | ||||
\(349\) | − | 11.6319i | − | 0.622643i | −0.950305 | − | 0.311322i | \(-0.899228\pi\) | ||
0.950305 | − | 0.311322i | \(-0.100772\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 24.0266 | − | 10.7667i | 1.28245 | − | 0.574684i | ||||
\(352\) | −1.04681 | − | 14.3673i | −0.0557949 | − | 0.765781i | ||||
\(353\) | 21.7547 | 1.15789 | 0.578944 | − | 0.815367i | \(-0.303465\pi\) | ||||
0.578944 | + | 0.815367i | \(0.303465\pi\) | |||||||
\(354\) | −0.740373 | − | 0.743496i | −0.0393504 | − | 0.0395164i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −23.9628 | − | 7.02226i | −1.27003 | − | 0.372179i | ||||
\(357\) | 1.13485 | − | 0.160421i | 0.0600625 | − | 0.00849039i | ||||
\(358\) | −13.7682 | − | 18.3820i | −0.727674 | − | 0.971519i | ||||
\(359\) | −12.9032 | −0.681005 | −0.340503 | − | 0.940244i | \(-0.610597\pi\) | ||||
−0.340503 | + | 0.940244i | \(0.610597\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.1892 | −0.641538 | ||||||||
\(362\) | −8.26450 | − | 11.0340i | −0.434372 | − | 0.579932i | ||||
\(363\) | −7.74346 | + | 1.09461i | −0.406426 | + | 0.0574521i | ||||
\(364\) | −8.80487 | + | 30.0459i | −0.461501 | + | 1.57483i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.92228 | − | 1.93039i | −0.100479 | − | 0.100903i | ||||
\(367\) | 11.7255 | 0.612065 | 0.306032 | − | 0.952021i | \(-0.400998\pi\) | ||||
0.306032 | + | 0.952021i | \(0.400998\pi\) | |||||||
\(368\) | −9.66459 | + | 15.0737i | −0.503801 | + | 0.785770i | ||||
\(369\) | 7.70792 | + | 26.7188i | 0.401258 | + | 1.39093i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 29.3879i | − | 1.52574i | ||||||
\(372\) | 15.7259 | + | 2.29056i | 0.815350 | + | 0.118760i | ||||
\(373\) | 31.0944 | 1.61001 | 0.805004 | − | 0.593270i | \(-0.202163\pi\) | ||||
0.805004 | + | 0.593270i | \(0.202163\pi\) | |||||||
\(374\) | −0.462407 | − | 0.617360i | −0.0239105 | − | 0.0319229i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 28.0752 | − | 10.4971i | 1.44787 | − | 0.541346i | ||||
\(377\) | −39.8653 | −2.05317 | ||||||||
\(378\) | 11.0168 | − | 19.8515i | 0.566645 | − | 1.02105i | ||||
\(379\) | −12.6097 | −0.647719 | −0.323860 | − | 0.946105i | \(-0.604981\pi\) | ||||
−0.323860 | + | 0.946105i | \(0.604981\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.64428 | − | 0.232434i | 0.0842390 | − | 0.0119080i | ||||
\(382\) | −2.61018 | + | 1.95504i | −0.133549 | + | 0.100029i | ||||
\(383\) | − | 1.64428i | − | 0.0840188i | −0.999117 | − | 0.0420094i | \(-0.986624\pi\) | ||
0.999117 | − | 0.0420094i | \(-0.0133759\pi\) | |||||||
\(384\) | −1.40785 | + | 19.5453i | −0.0718443 | + | 0.997416i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −9.53765 | − | 12.7337i | −0.485453 | − | 0.648130i | ||||
\(387\) | −9.48364 | − | 32.8742i | −0.482081 | − | 1.67109i | ||||
\(388\) | −15.4406 | − | 4.52483i | −0.783876 | − | 0.229713i | ||||
\(389\) | 37.4889 | 1.90076 | 0.950381 | − | 0.311090i | \(-0.100694\pi\) | ||||
0.950381 | + | 0.311090i | \(0.100694\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.958763i | 0.0484867i | ||||||||
\(392\) | 2.52136 | + | 6.74357i | 0.127348 | + | 0.340602i | ||||
\(393\) | −0.916694 | − | 6.48486i | −0.0462411 | − | 0.327118i | ||||
\(394\) | 5.75023 | + | 7.67714i | 0.289692 | + | 0.386769i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −15.2791 | − | 0.0643136i | −0.767804 | − | 0.00323188i | ||||
\(397\) | −19.8820 | −0.997849 | −0.498924 | − | 0.866646i | \(-0.666271\pi\) | ||||
−0.498924 | + | 0.866646i | \(0.666271\pi\) | |||||||
\(398\) | 0.536484 | + | 0.716261i | 0.0268915 | + | 0.0359029i | ||||
\(399\) | 13.8280 | − | 1.95472i | 0.692267 | − | 0.0978583i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 11.2570i | 0.562150i | 0.959686 | + | 0.281075i | \(0.0906910\pi\) | ||||
−0.959686 | + | 0.281075i | \(0.909309\pi\) | |||||||
\(402\) | 4.07899 | + | 4.09619i | 0.203441 | + | 0.204300i | ||||
\(403\) | 23.2451i | 1.15792i | ||||||||
\(404\) | 0.610382 | − | 2.08287i | 0.0303676 | − | 0.103627i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −27.5142 | + | 20.6083i | −1.36551 | + | 1.02277i | ||||
\(407\) | − | 19.5501i | − | 0.969065i | ||||||
\(408\) | 0.501407 | + | 0.921700i | 0.0248233 | + | 0.0456309i | ||||
\(409\) | −16.9007 | −0.835685 | −0.417843 | − | 0.908519i | \(-0.637214\pi\) | ||||
−0.417843 | + | 0.908519i | \(0.637214\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 22.6171 | − | 3.19713i | 1.11562 | − | 0.157703i | ||||
\(412\) | 6.54230 | − | 22.3250i | 0.322316 | − | 1.09987i | ||||
\(413\) | − | 1.32344i | − | 0.0651221i | ||||||
\(414\) | 15.1528 | + | 11.4494i | 0.744720 | + | 0.562709i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −28.5873 | + | 2.08287i | −1.40161 | + | 0.102121i | ||||
\(417\) | 29.6605 | − | 4.19278i | 1.45248 | − | 0.205321i | ||||
\(418\) | −5.63438 | − | 7.52248i | −0.275587 | − | 0.367936i | ||||
\(419\) | 7.21126i | 0.352293i | 0.984364 | + | 0.176147i | \(0.0563633\pi\) | ||||
−0.984364 | + | 0.176147i | \(0.943637\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.3995i | 0.555578i | 0.960642 | + | 0.277789i | \(0.0896015\pi\) | ||||
−0.960642 | + | 0.277789i | \(0.910398\pi\) | |||||||
\(422\) | −13.1755 | + | 9.86851i | −0.641372 | + | 0.480391i | ||||
\(423\) | −8.81199 | − | 30.5460i | −0.428454 | − | 1.48520i | ||||
\(424\) | 25.2001 | − | 9.42210i | 1.22383 | − | 0.457578i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 10.6237 | − | 10.5791i | 0.514722 | − | 0.512559i | ||||
\(427\) | − | 3.43613i | − | 0.166286i | ||||||
\(428\) | 3.66080 | − | 12.4921i | 0.176951 | − | 0.603830i | ||||
\(429\) | −3.12814 | − | 22.1290i | −0.151028 | − | 1.06840i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −3.95028 | −0.190278 | −0.0951391 | − | 0.995464i | \(-0.530330\pi\) | ||||
−0.0951391 | + | 0.995464i | \(0.530330\pi\) | |||||||
\(432\) | 20.5548 | + | 3.08232i | 0.988943 | + | 0.148298i | ||||
\(433\) | − | 20.6509i | − | 0.992420i | −0.868203 | − | 0.496210i | \(-0.834725\pi\) | ||
0.868203 | − | 0.496210i | \(-0.165275\pi\) | |||||||
\(434\) | 12.0165 | + | 16.0433i | 0.576811 | + | 0.770102i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.72494 | + | 2.84987i | 0.465740 | + | 0.136484i | ||||
\(437\) | 11.6824i | 0.558847i | ||||||||
\(438\) | 20.7662 | + | 20.8538i | 0.992247 | + | 0.996432i | ||||
\(439\) | 28.5778i | 1.36394i | 0.731379 | + | 0.681971i | \(0.238877\pi\) | ||||
−0.731379 | + | 0.681971i | \(0.761123\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.33704 | − | 2.11661i | 0.349383 | − | 0.100791i | ||||
\(442\) | −1.22839 | + | 0.920070i | −0.0584285 | + | 0.0437633i | ||||
\(443\) | −21.9689 | −1.04378 | −0.521888 | − | 0.853014i | \(-0.674772\pi\) | ||||
−0.521888 | + | 0.853014i | \(0.674772\pi\) | |||||||
\(444\) | −3.83316 | + | 26.3167i | −0.181914 | + | 1.24894i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 12.1870 | − | 9.12810i | 0.577069 | − | 0.432228i | ||||
\(447\) | 6.54230 | − | 0.924813i | 0.309440 | − | 0.0437422i | ||||
\(448\) | −18.6536 | + | 16.2157i | −0.881300 | + | 0.766120i | ||||
\(449\) | 9.00493i | 0.424969i | 0.977164 | + | 0.212485i | \(0.0681555\pi\) | ||||
−0.977164 | + | 0.212485i | \(0.931844\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 23.6050 | 1.11152 | ||||||||
\(452\) | −3.40483 | + | 11.6187i | −0.160150 | + | 0.546496i | ||||
\(453\) | 3.20578 | + | 22.6783i | 0.150621 | + | 1.06552i | ||||
\(454\) | −14.5298 | + | 10.8829i | −0.681918 | + | 0.510761i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.10960 | + | 11.2308i | 0.286108 | + | 0.525932i | ||||
\(457\) | 18.5748i | 0.868891i | 0.900698 | + | 0.434446i | \(0.143056\pi\) | ||||
−0.900698 | + | 0.434446i | \(0.856944\pi\) | |||||||
\(458\) | 12.6904 | + | 16.9429i | 0.592982 | + | 0.791692i | ||||
\(459\) | 1.01560 | − | 0.455105i | 0.0474040 | − | 0.0212425i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −34.2003 | −1.59287 | −0.796434 | − | 0.604726i | \(-0.793283\pi\) | ||||
−0.796434 | + | 0.604726i | \(0.793283\pi\) | |||||||
\(462\) | −13.5985 | − | 13.6559i | −0.632662 | − | 0.635330i | ||||
\(463\) | 7.44471 | 0.345985 | 0.172992 | − | 0.984923i | \(-0.444656\pi\) | ||||
0.172992 | + | 0.984923i | \(0.444656\pi\) | |||||||
\(464\) | −26.4930 | − | 16.9862i | −1.22991 | − | 0.788564i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 23.6547 | − | 17.7175i | 1.09578 | − | 0.820748i | ||||
\(467\) | 7.26161 | 0.336027 | 0.168014 | − | 0.985785i | \(-0.446265\pi\) | ||||
0.168014 | + | 0.985785i | \(0.446265\pi\) | |||||||
\(468\) | −0.127968 | + | 30.4015i | −0.00591530 | + | 1.40531i | ||||
\(469\) | 7.29130i | 0.336681i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.2589 | + | 1.59155i | −0.518784 | + | 0.0733349i | ||||
\(472\) | 1.13485 | − | 0.424310i | 0.0522356 | − | 0.0195304i | ||||
\(473\) | −29.0431 | −1.33540 | ||||||||
\(474\) | −20.1047 | − | 20.1895i | −0.923437 | − | 0.927332i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.372179 | + | 1.27003i | −0.0170588 | + | 0.0582116i | ||||
\(477\) | −7.90958 | − | 27.4178i | −0.362155 | − | 1.25538i | ||||
\(478\) | 32.4163 | − | 24.2800i | 1.48269 | − | 1.11054i | ||||
\(479\) | 23.3649 | 1.06757 | 0.533785 | − | 0.845620i | \(-0.320769\pi\) | ||||
0.533785 | + | 0.845620i | \(0.320769\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −38.8998 | −1.77368 | ||||||||
\(482\) | −10.4699 | + | 7.84203i | −0.476891 | + | 0.357195i | ||||
\(483\) | 3.35290 | + | 23.7190i | 0.152562 | + | 1.07925i | ||||
\(484\) | 2.53951 | − | 8.66584i | 0.115432 | − | 0.393902i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 4.93540 | − | 21.4859i | 0.223874 | − | 0.974618i | ||||
\(487\) | −7.77068 | −0.352123 | −0.176062 | − | 0.984379i | \(-0.556336\pi\) | ||||
−0.176062 | + | 0.984379i | \(0.556336\pi\) | |||||||
\(488\) | 2.94648 | − | 1.10166i | 0.133381 | − | 0.0498699i | ||||
\(489\) | −1.97328 | − | 13.9594i | −0.0892349 | − | 0.631264i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 20.5265i | − | 0.926349i | −0.886267 | − | 0.463174i | \(-0.846710\pi\) | ||
0.886267 | − | 0.463174i | \(-0.153290\pi\) | |||||||
\(492\) | −31.7751 | − | 4.62820i | −1.43253 | − | 0.208655i | ||||
\(493\) | −1.68509 | −0.0758928 | ||||||||
\(494\) | −14.9678 | + | 11.2110i | −0.673433 | + | 0.504406i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.90447 | + | 15.4478i | −0.444724 | + | 0.693628i | ||||
\(497\) | 18.9104 | 0.848249 | ||||||||
\(498\) | 3.99058 | − | 3.97382i | 0.178822 | − | 0.178071i | ||||
\(499\) | 26.4958 | 1.18611 | 0.593057 | − | 0.805161i | \(-0.297921\pi\) | ||||
0.593057 | + | 0.805161i | \(0.297921\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.29861 | − | 37.4833i | −0.236724 | − | 1.67463i | ||||
\(502\) | 1.04681 | + | 1.39759i | 0.0467212 | + | 0.0623776i | ||||
\(503\) | 26.9943i | 1.20362i | 0.798640 | + | 0.601809i | \(0.205553\pi\) | ||||
−0.798640 | + | 0.601809i | \(0.794447\pi\) | |||||||
\(504\) | 15.6277 | + | 21.0486i | 0.696113 | + | 0.937581i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 12.9032 | − | 9.66459i | 0.573618 | − | 0.429643i | ||||
\(507\) | −21.7361 | + | 3.07259i | −0.965332 | + | 0.136459i | ||||
\(508\) | −0.539249 | + | 1.84014i | −0.0239253 | + | 0.0816430i | ||||
\(509\) | 25.8064 | 1.14385 | 0.571925 | − | 0.820306i | \(-0.306197\pi\) | ||||
0.571925 | + | 0.820306i | \(0.306197\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 37.1201i | 1.64210i | ||||||||
\(512\) | −19.8855 | − | 10.7965i | −0.878825 | − | 0.477144i | ||||
\(513\) | 12.3750 | − | 5.54541i | 0.546368 | − | 0.244836i | ||||
\(514\) | −21.0596 | + | 15.7738i | −0.928901 | + | 0.695753i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 39.0953 | + | 5.69443i | 1.72108 | + | 0.250683i | ||||
\(517\) | −26.9862 | −1.18685 | ||||||||
\(518\) | −26.8478 | + | 20.1092i | −1.17963 | + | 0.883547i | ||||
\(519\) | 2.30600 | + | 16.3131i | 0.101222 | + | 0.716063i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 1.70694i | − | 0.0747826i | −0.999301 | − | 0.0373913i | \(-0.988095\pi\) | ||
0.999301 | − | 0.0373913i | \(-0.0119048\pi\) | |||||||
\(522\) | −20.1232 | + | 26.6321i | −0.880768 | + | 1.16566i | ||||
\(523\) | 24.0790i | 1.05290i | 0.850206 | + | 0.526451i | \(0.176478\pi\) | ||||
−0.850206 | + | 0.526451i | \(0.823522\pi\) | |||||||
\(524\) | 7.25732 | + | 2.12674i | 0.317037 | + | 0.0929071i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.54541 | − | 12.7441i | −0.416200 | − | 0.555669i | ||||
\(527\) | 0.982561i | 0.0428010i | ||||||||
\(528\) | 7.35009 | − | 16.0390i | 0.319872 | − | 0.698008i | ||||
\(529\) | 2.96125 | 0.128750 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.356195 | − | 1.23472i | −0.0154576 | − | 0.0535823i | ||||
\(532\) | −4.53497 | + | 15.4752i | −0.196616 | + | 0.670934i | ||||
\(533\) | − | 46.9680i | − | 2.03441i | ||||||
\(534\) | −21.5796 | − | 21.6706i | −0.933840 | − | 0.937779i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −6.25229 | + | 2.33768i | −0.270058 | + | 0.100972i | ||||
\(537\) | −3.93703 | − | 27.8513i | −0.169895 | − | 1.20187i | ||||
\(538\) | 13.2235 | − | 9.90447i | 0.570105 | − | 0.427012i | ||||
\(539\) | − | 6.48200i | − | 0.279199i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 16.6989i | 0.717941i | 0.933349 | + | 0.358971i | \(0.116872\pi\) | ||||
−0.933349 | + | 0.358971i | \(0.883128\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.36324 | − | 16.7180i | −0.101416 | − | 0.717436i | ||||
\(544\) | −1.20837 | + | 0.0880424i | −0.0518086 | + | 0.00377479i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −27.1717 | + | 27.0576i | −1.16284 | + | 1.15796i | ||||
\(547\) | 15.5833i | 0.666292i | 0.942875 | + | 0.333146i | \(0.108110\pi\) | ||||
−0.942875 | + | 0.333146i | \(0.891890\pi\) | |||||||
\(548\) | −7.41738 | + | 25.3112i | −0.316855 | + | 1.08124i | ||||
\(549\) | −0.924813 | − | 3.20578i | −0.0394701 | − | 0.136819i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −20.5327 | −0.874723 | ||||||||
\(552\) | −19.2641 | + | 10.4797i | −0.819935 | + | 0.446046i | ||||
\(553\) | − | 35.9376i | − | 1.52822i | ||||||
\(554\) | −19.7238 | + | 14.7732i | −0.837984 | + | 0.627655i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.72729 | + | 33.1935i | −0.412529 | + | 1.40772i | ||||
\(557\) | − | 2.96772i | − | 0.125746i | −0.998022 | − | 0.0628731i | \(-0.979974\pi\) | ||
0.998022 | − | 0.0628731i | \(-0.0200263\pi\) | |||||||
\(558\) | 15.5289 | + | 11.7336i | 0.657392 | + | 0.496724i | ||||
\(559\) | 57.7883i | 2.44419i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.132225 | − | 0.935386i | −0.00558256 | − | 0.0394920i | ||||
\(562\) | −10.9991 | − | 14.6850i | −0.463971 | − | 0.619448i | ||||
\(563\) | −11.7057 | −0.493335 | −0.246668 | − | 0.969100i | \(-0.579336\pi\) | ||||
−0.246668 | + | 0.969100i | \(0.579336\pi\) | |||||||
\(564\) | 36.3265 | + | 5.29114i | 1.52962 | + | 0.222797i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 10.5038 | + | 14.0236i | 0.441507 | + | 0.589457i | ||||
\(567\) | 23.5335 | − | 14.8106i | 0.988314 | − | 0.621986i | ||||
\(568\) | 6.06291 | + | 16.2157i | 0.254394 | + | 0.680396i | ||||
\(569\) | − | 43.3618i | − | 1.81782i | −0.416992 | − | 0.908910i | \(-0.636916\pi\) | ||
0.416992 | − | 0.908910i | \(-0.363084\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.18544 | −0.342550 | −0.171275 | − | 0.985223i | \(-0.554789\pi\) | ||||
−0.171275 | + | 0.985223i | \(0.554789\pi\) | |||||||
\(572\) | 24.7650 | + | 7.25732i | 1.03547 | + | 0.303444i | ||||
\(573\) | −3.95479 | + | 0.559045i | −0.165214 | + | 0.0233545i | ||||
\(574\) | −24.2800 | − | 32.4163i | −1.01343 | − | 1.35303i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −13.0388 | + | 20.1492i | −0.543283 | + | 0.839550i | ||||
\(577\) | − | 18.9612i | − | 0.789367i | −0.918817 | − | 0.394683i | \(-0.870854\pi\) | ||
0.918817 | − | 0.394683i | \(-0.129146\pi\) | |||||||
\(578\) | 19.1906 | − | 14.3738i | 0.798222 | − | 0.597873i | ||||
\(579\) | −2.72729 | − | 19.2934i | −0.113342 | − | 0.801805i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.10331 | 0.294695 | ||||||||
\(582\) | −13.9049 | − | 13.9636i | −0.576377 | − | 0.578808i | ||||
\(583\) | −24.2226 | −1.00320 | ||||||||
\(584\) | −31.8305 | + | 11.9012i | −1.31716 | + | 0.492473i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.9532 | − | 35.9853i | −1.11343 | − | 1.48654i | ||||
\(587\) | 19.9546 | 0.823614 | 0.411807 | − | 0.911271i | \(-0.364898\pi\) | ||||
0.411807 | + | 0.911271i | \(0.364898\pi\) | |||||||
\(588\) | −1.27091 | + | 8.72550i | −0.0524116 | + | 0.359834i | ||||
\(589\) | 11.9724i | 0.493315i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.64428 | + | 11.6319i | 0.0676366 | + | 0.478474i | ||||
\(592\) | −25.8514 | − | 16.5748i | −1.06248 | − | 0.681219i | ||||
\(593\) | 27.4465 | 1.12709 | 0.563546 | − | 0.826085i | \(-0.309437\pi\) | ||||
0.563546 | + | 0.826085i | \(0.309437\pi\) | |||||||
\(594\) | −16.3624 | − | 9.08050i | −0.671356 | − | 0.372578i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.14558 | + | 7.32159i | −0.0878863 | + | 0.299904i | ||||
\(597\) | 0.153408 | + | 1.08523i | 0.00627856 | + | 0.0444157i | ||||
\(598\) | −19.2300 | − | 25.6741i | −0.786375 | − | 1.04989i | ||||
\(599\) | −13.8858 | −0.567357 | −0.283679 | − | 0.958919i | \(-0.591555\pi\) | ||||
−0.283679 | + | 0.958919i | \(0.591555\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.7502 | −0.438511 | −0.219255 | − | 0.975667i | \(-0.570363\pi\) | ||||
−0.219255 | + | 0.975667i | \(0.570363\pi\) | |||||||
\(602\) | 29.8736 | + | 39.8843i | 1.21756 | + | 1.62556i | ||||
\(603\) | 1.96241 | + | 6.80252i | 0.0799156 | + | 0.277020i | ||||
\(604\) | −25.3796 | − | 7.43745i | −1.03268 | − | 0.302626i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 1.88363 | − | 1.87572i | 0.0765173 | − | 0.0761959i | ||||
\(607\) | −30.7086 | −1.24642 | −0.623211 | − | 0.782054i | \(-0.714172\pi\) | ||||
−0.623211 | + | 0.782054i | \(0.714172\pi\) | |||||||
\(608\) | −14.7239 | + | 1.07279i | −0.597134 | + | 0.0435073i | ||||
\(609\) | −41.6878 | + | 5.89296i | −1.68928 | + | 0.238795i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 53.6957i | 2.17229i | ||||||||
\(612\) | −0.00540914 | + | 1.28506i | −0.000218652 | + | 0.0519455i | ||||
\(613\) | 13.3170 | 0.537870 | 0.268935 | − | 0.963158i | \(-0.413328\pi\) | ||||
0.268935 | + | 0.963158i | \(0.413328\pi\) | |||||||
\(614\) | 8.75683 | + | 11.6913i | 0.353397 | + | 0.471821i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 20.8439 | − | 7.79336i | 0.839826 | − | 0.314003i | ||||
\(617\) | −38.3725 | −1.54482 | −0.772410 | − | 0.635124i | \(-0.780949\pi\) | ||||
−0.772410 | + | 0.635124i | \(0.780949\pi\) | |||||||
\(618\) | 20.1895 | − | 20.1047i | 0.812139 | − | 0.808728i | ||||
\(619\) | −4.59507 | −0.184691 | −0.0923457 | − | 0.995727i | \(-0.529436\pi\) | ||||
−0.0923457 | + | 0.995727i | \(0.529436\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.51198 | + | 21.2266i | 0.381703 | + | 0.851794i | ||||
\(622\) | −5.81597 | + | 4.35620i | −0.233199 | + | 0.174668i | ||||
\(623\) | − | 38.5741i | − | 1.54544i | ||||||
\(624\) | −31.9135 | − | 14.6248i | −1.27756 | − | 0.585460i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 13.2886 | + | 17.7417i | 0.531120 | + | 0.709099i | ||||
\(627\) | −1.61115 | − | 11.3976i | −0.0643433 | − | 0.455176i | ||||
\(628\) | 3.69242 | − | 12.6001i | 0.147344 | − | 0.502797i | ||||
\(629\) | −1.64428 | −0.0655617 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 40.2097i | 1.60072i | 0.599518 | + | 0.800362i | \(0.295359\pi\) | ||||
−0.599518 | + | 0.800362i | \(0.704641\pi\) | |||||||
\(632\) | 30.8165 | − | 11.5220i | 1.22582 | − | 0.458322i | ||||
\(633\) | −19.9626 | + | 2.82190i | −0.793444 | + | 0.112161i | ||||
\(634\) | −7.59037 | − | 10.1339i | −0.301452 | − | 0.402469i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 32.6064 | + | 4.74929i | 1.29293 | + | 0.188321i | ||||
\(637\) | −12.8975 | −0.511018 | ||||||||
\(638\) | 16.9862 | + | 22.6783i | 0.672489 | + | 0.897842i | ||||
\(639\) | 17.6428 | − | 5.08964i | 0.697937 | − | 0.201343i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | − | 7.56252i | − | 0.298702i | −0.988784 | − | 0.149351i | \(-0.952282\pi\) | ||
0.988784 | − | 0.149351i | \(-0.0477184\pi\) | |||||||
\(642\) | 11.2972 | − | 11.2497i | 0.445864 | − | 0.443991i | ||||
\(643\) | 2.47018i | 0.0974145i | 0.998813 | + | 0.0487072i | \(0.0155101\pi\) | ||||
−0.998813 | + | 0.0487072i | \(0.984490\pi\) | |||||||
\(644\) | −26.5444 | − | 7.77877i | −1.04599 | − | 0.306527i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.632684 | + | 0.473884i | −0.0248926 | + | 0.0186447i | ||||
\(647\) | − | 30.1474i | − | 1.18522i | −0.805491 | − | 0.592608i | \(-0.798099\pi\) | ||
0.805491 | − | 0.592608i | \(-0.201901\pi\) | |||||||
\(648\) | 20.2452 | + | 15.4315i | 0.795306 | + | 0.606208i | ||||
\(649\) | −1.09083 | −0.0428188 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3.43613 | + | 24.3078i | 0.134672 | + | 0.952697i | ||||
\(652\) | 15.6222 | + | 4.57804i | 0.611811 | + | 0.179290i | ||||
\(653\) | 8.42674i | 0.329764i | 0.986313 | + | 0.164882i | \(0.0527243\pi\) | ||||
−0.986313 | + | 0.164882i | \(0.947276\pi\) | |||||||
\(654\) | 8.75774 | + | 8.79468i | 0.342455 | + | 0.343899i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 20.0126 | − | 31.2132i | 0.781359 | − | 1.21867i | ||||
\(657\) | 9.99067 | + | 34.6318i | 0.389773 | + | 1.35111i | ||||
\(658\) | 27.7579 | + | 37.0596i | 1.08212 | + | 1.44474i | ||||
\(659\) | 13.5764i | 0.528863i | 0.964404 | + | 0.264432i | \(0.0851843\pi\) | ||||
−0.964404 | + | 0.264432i | \(0.914816\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.68509i | 0.0655425i | 0.999463 | + | 0.0327713i | \(0.0104333\pi\) | ||||
−0.999463 | + | 0.0327713i | \(0.989567\pi\) | |||||||
\(662\) | 5.07646 | − | 3.80230i | 0.197302 | − | 0.147781i | ||||
\(663\) | −1.86118 | + | 0.263094i | −0.0722821 | + | 0.0102177i | ||||
\(664\) | 2.27740 | + | 6.09109i | 0.0883804 | + | 0.236380i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −19.6358 | + | 25.9871i | −0.760872 | + | 1.00698i | ||||
\(667\) | − | 35.2195i | − | 1.36370i | ||||||
\(668\) | 41.9482 | + | 12.2928i | 1.62302 | + | 0.475624i | ||||
\(669\) | 18.4649 | − | 2.61018i | 0.713895 | − | 0.100916i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.83219 | −0.109335 | ||||||||
\(672\) | −29.5863 | + | 6.40392i | −1.14132 | + | 0.247036i | ||||
\(673\) | 7.03784i | 0.271289i | 0.990758 | + | 0.135644i | \(0.0433105\pi\) | ||||
−0.990758 | + | 0.135644i | \(0.956690\pi\) | |||||||
\(674\) | −22.0422 | − | 29.4286i | −0.849035 | − | 1.13355i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.12844 | − | 24.3252i | 0.274171 | − | 0.935584i | ||||
\(677\) | − | 41.8298i | − | 1.60765i | −0.594866 | − | 0.803825i | \(-0.702795\pi\) | ||
0.594866 | − | 0.803825i | \(-0.297205\pi\) | |||||||
\(678\) | −10.5073 | + | 10.4631i | −0.403529 | + | 0.401834i | ||||
\(679\) | − | 24.8554i | − | 0.953863i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.0147 | + | 3.11198i | −0.843604 | + | 0.119251i | ||||
\(682\) | 13.2235 | − | 9.90447i | 0.506353 | − | 0.379262i | ||||
\(683\) | 28.2464 | 1.08082 | 0.540409 | − | 0.841403i | \(-0.318270\pi\) | ||||
0.540409 | + | 0.841403i | \(0.318270\pi\) | |||||||
\(684\) | −0.0659099 | + | 15.6583i | −0.00252013 | + | 0.598712i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 15.5782 | − | 11.6682i | 0.594778 | − | 0.445492i | ||||
\(687\) | 3.62881 | + | 25.6709i | 0.138448 | + | 0.979406i | ||||
\(688\) | −24.6230 | + | 38.4040i | −0.938742 | + | 1.46414i | ||||
\(689\) | 48.1968i | 1.83615i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.8633 | 0.945844 | 0.472922 | − | 0.881104i | \(-0.343199\pi\) | ||||
0.472922 | + | 0.881104i | \(0.343199\pi\) | |||||||
\(692\) | −18.2562 | − | 5.34994i | −0.693997 | − | 0.203374i | ||||
\(693\) | −6.54230 | − | 22.6783i | −0.248521 | − | 0.861477i | ||||
\(694\) | 12.1322 | − | 9.08711i | 0.460533 | − | 0.344942i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −18.4188 | − | 33.8580i | −0.698164 | − | 1.28338i | ||||
\(697\) | − | 1.98532i | − | 0.0751994i | ||||||
\(698\) | 9.86165 | + | 13.1663i | 0.373269 | + | 0.498352i | ||||
\(699\) | 35.8401 | − | 5.06633i | 1.35560 | − | 0.191626i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 42.6271 | 1.61000 | 0.805001 | − | 0.593274i | \(-0.202165\pi\) | ||||
0.805001 | + | 0.593274i | \(0.202165\pi\) | |||||||
\(702\) | −18.0679 | + | 32.5569i | −0.681928 | + | 1.22878i | ||||
\(703\) | −20.0354 | −0.755650 | ||||||||
\(704\) | 13.3656 | + | 15.3750i | 0.503736 | + | 0.579468i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −24.6244 | + | 18.4439i | −0.926753 | + | 0.694144i | ||||
\(707\) | 3.35290 | 0.126099 | ||||||||
\(708\) | 1.46838 | + | 0.213877i | 0.0551850 | + | 0.00803798i | ||||
\(709\) | 17.0057i | 0.638663i | 0.947643 | + | 0.319331i | \(0.103458\pi\) | ||||
−0.947643 | + | 0.319331i | \(0.896542\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.67240 | − | 33.5285i | −0.362743 | − | 1.25742i | ||||
\(712\) | 33.0773 | − | 12.3673i | 1.23962 | − | 0.463485i | ||||
\(713\) | −20.5361 | −0.769085 | ||||||||
\(714\) | −1.14854 | + | 1.14372i | −0.0429830 | + | 0.0428025i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 31.1688 | + | 9.13396i | 1.16483 | + | 0.341352i | ||||
\(717\) | 49.1152 | − | 6.94289i | 1.83424 | − | 0.259287i | ||||
\(718\) | 14.6053 | − | 10.9394i | 0.545064 | − | 0.408257i | ||||
\(719\) | 28.6386 | 1.06804 | 0.534020 | − | 0.845472i | \(-0.320681\pi\) | ||||
0.534020 | + | 0.845472i | \(0.320681\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 35.9376 | 1.33839 | ||||||||
\(722\) | 13.7971 | − | 10.3341i | 0.513475 | − | 0.384596i | ||||
\(723\) | −15.8634 | + | 2.24243i | −0.589965 | + | 0.0833969i | ||||
\(724\) | 18.7093 | + | 5.48274i | 0.695327 | + | 0.203764i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 7.83689 | − | 7.80397i | 0.290854 | − | 0.289633i | ||||
\(727\) | −14.1822 | −0.525990 | −0.262995 | − | 0.964797i | \(-0.584710\pi\) | ||||
−0.262995 | + | 0.964797i | \(0.584710\pi\) | |||||||
\(728\) | −15.5068 | − | 41.4741i | −0.574720 | − | 1.53713i | ||||
\(729\) | 17.9697 | − | 20.1517i | 0.665545 | − | 0.746357i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.44269i | 0.0903462i | ||||||||
\(732\) | 3.81244 | + | 0.555302i | 0.140912 | + | 0.0205245i | ||||
\(733\) | 51.7027 | 1.90968 | 0.954842 | − | 0.297113i | \(-0.0960240\pi\) | ||||
0.954842 | + | 0.297113i | \(0.0960240\pi\) | |||||||
\(734\) | −13.2722 | + | 9.94095i | −0.489885 | + | 0.366927i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.84014 | − | 25.2558i | −0.0678285 | − | 0.930940i | ||||
\(737\) | 6.00977 | 0.221373 | ||||||||
\(738\) | −31.3771 | − | 23.7085i | −1.15501 | − | 0.872720i | ||||
\(739\) | 16.7493 | 0.616133 | 0.308067 | − | 0.951365i | \(-0.400318\pi\) | ||||
0.308067 | + | 0.951365i | \(0.400318\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −22.6783 | + | 3.20578i | −0.833108 | + | 0.117767i | ||||
\(742\) | 24.9153 | + | 33.2645i | 0.914669 | + | 1.22118i | ||||
\(743\) | − | 13.5649i | − | 0.497649i | −0.968549 | − | 0.248825i | \(-0.919956\pi\) | ||
0.968549 | − | 0.248825i | \(-0.0800442\pi\) | |||||||
\(744\) | −19.7423 | + | 10.7398i | −0.723786 | + | 0.393742i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −35.1961 | + | 26.3621i | −1.28862 | + | 0.965185i | ||||
\(747\) | 6.62713 | − | 1.91181i | 0.242474 | − | 0.0699496i | ||||
\(748\) | 1.04681 | + | 0.306764i | 0.0382750 | + | 0.0112164i | ||||
\(749\) | 20.1092 | 0.734774 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 37.3072i | − | 1.36136i | −0.732581 | − | 0.680680i | \(-0.761684\pi\) | ||
0.732581 | − | 0.680680i | \(-0.238316\pi\) | |||||||
\(752\) | −22.8791 | + | 35.6842i | −0.834316 | + | 1.30127i | ||||
\(753\) | 0.299334 | + | 2.11755i | 0.0109084 | + | 0.0771676i | ||||
\(754\) | 45.1240 | − | 33.7981i | 1.64332 | − | 1.23086i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 4.36018 | + | 31.8103i | 0.158578 | + | 1.15693i | ||||
\(757\) | −0.385842 | −0.0140237 | −0.00701183 | − | 0.999975i | \(-0.502232\pi\) | ||||
−0.00701183 | + | 0.999975i | \(0.502232\pi\) | |||||||
\(758\) | 14.2731 | − | 10.6906i | 0.518423 | − | 0.388302i | ||||
\(759\) | 19.5501 | − | 2.76359i | 0.709625 | − | 0.100312i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.2235i | 0.370603i | 0.982682 | + | 0.185302i | \(0.0593262\pi\) | ||||
−0.982682 | + | 0.185302i | \(0.940674\pi\) | |||||||
\(762\) | −1.66412 | + | 1.65713i | −0.0602846 | + | 0.0600314i | ||||
\(763\) | 15.6547i | 0.566738i | ||||||||
\(764\) | 1.29699 | − | 4.42587i | 0.0469235 | − | 0.160122i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.39403 | + | 1.86118i | 0.0503685 | + | 0.0672471i | ||||
\(767\) | 2.17047i | 0.0783711i | ||||||||
\(768\) | −14.9771 | − | 23.3171i | −0.540439 | − | 0.841383i | ||||
\(769\) | −4.34816 | −0.156799 | −0.0783994 | − | 0.996922i | \(-0.524981\pi\) | ||||
−0.0783994 | + | 0.996922i | \(0.524981\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −31.9083 | + | 4.51052i | −1.14915 | + | 0.162443i | ||||
\(772\) | 21.5915 | + | 6.32735i | 0.777096 | + | 0.227726i | ||||
\(773\) | − | 21.4326i | − | 0.770878i | −0.922733 | − | 0.385439i | \(-0.874050\pi\) | ||
0.922733 | − | 0.385439i | \(-0.125950\pi\) | |||||||
\(774\) | 38.6056 | + | 29.1703i | 1.38765 | + | 1.04851i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 21.3135 | − | 7.96894i | 0.765111 | − | 0.286068i | ||||
\(777\) | −40.6782 | + | 5.75023i | −1.45932 | + | 0.206288i | ||||
\(778\) | −42.4340 | + | 31.7834i | −1.52133 | + | 1.13949i | ||||
\(779\) | − | 24.1910i | − | 0.866731i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 15.5867i | − | 0.557737i | ||||||
\(782\) | −0.812847 | − | 1.08523i | −0.0290674 | − | 0.0388079i | ||||
\(783\) | −37.3072 | + | 16.7180i | −1.33325 | + | 0.597451i | ||||
\(784\) | −8.57121 | − | 5.49549i | −0.306115 | − | 0.196267i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 6.53553 | + | 6.56310i | 0.233115 | + | 0.234098i | ||||
\(787\) | 32.2753i | 1.15049i | 0.817980 | + | 0.575246i | \(0.195094\pi\) | ||||
−0.817980 | + | 0.575246i | \(0.804906\pi\) | |||||||
\(788\) | −13.0175 | − | 3.81475i | −0.463729 | − | 0.135895i | ||||
\(789\) | −2.72951 | − | 19.3091i | −0.0971733 | − | 0.687421i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −18.7031 | −0.665006 | ||||||||
\(792\) | 17.3491 | − | 12.8809i | 0.616473 | − | 0.457705i | ||||
\(793\) | 5.63533i | 0.200116i | ||||||||
\(794\) | 22.5046 | − | 16.8561i | 0.798660 | − | 0.598201i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.21450 | − | 0.355908i | −0.0430469 | − | 0.0126148i | ||||
\(797\) | − | 14.4120i | − | 0.510498i | −0.966875 | − | 0.255249i | \(-0.917843\pi\) | ||
0.966875 | − | 0.255249i | \(-0.0821574\pi\) | |||||||
\(798\) | −13.9949 | + | 13.9361i | −0.495413 | + | 0.493332i | ||||
\(799\) | 2.26970i | 0.0802961i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −10.3820 | − | 35.9883i | −0.366830 | − | 1.27158i | ||||
\(802\) | −9.54382 | − | 12.7420i | −0.337004 | − | 0.449935i | ||||
\(803\) | 30.5959 | 1.07970 | ||||||||
\(804\) | −8.08983 | − | 1.17833i | −0.285306 | − | 0.0415563i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −19.7074 | − | 26.3113i | −0.694162 | − | 0.926777i | ||||
\(807\) | 20.0354 | − | 2.83219i | 0.705280 | − | 0.0996977i | ||||
\(808\) | 1.07498 | + | 2.87511i | 0.0378177 | + | 0.101146i | ||||
\(809\) | − | 27.3297i | − | 0.960860i | −0.877033 | − | 0.480430i | \(-0.840481\pi\) | ||
0.877033 | − | 0.480430i | \(-0.159519\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.18452 | 0.0415942 | 0.0207971 | − | 0.999784i | \(-0.493380\pi\) | ||||
0.0207971 | + | 0.999784i | \(0.493380\pi\) | |||||||
\(812\) | 13.6717 | − | 46.6536i | 0.479784 | − | 1.63722i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 16.5748 | + | 22.1290i | 0.580946 | + | 0.775622i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −1.34897 | − | 0.618185i | −0.0472235 | − | 0.0216408i | ||||
\(817\) | 29.7640i | 1.04131i | ||||||||
\(818\) | 19.1301 | − | 14.3285i | 0.668867 | − | 0.500986i | ||||
\(819\) | −45.1240 | + | 13.0175i | −1.57676 | + | 0.454868i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −16.8535 | −0.588191 | −0.294095 | − | 0.955776i | \(-0.595018\pi\) | ||||
−0.294095 | + | 0.955776i | \(0.595018\pi\) | |||||||
\(822\) | −22.8900 | + | 22.7938i | −0.798379 | + | 0.795026i | ||||
\(823\) | 47.6544 | 1.66113 | 0.830564 | − | 0.556923i | \(-0.188018\pi\) | ||||
0.830564 | + | 0.556923i | \(0.188018\pi\) | |||||||
\(824\) | 11.5220 | + | 30.8165i | 0.401389 | + | 1.07354i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.12202 | + | 1.49801i | 0.0390401 | + | 0.0521225i | ||||
\(827\) | 11.4476 | 0.398073 | 0.199036 | − | 0.979992i | \(-0.436219\pi\) | ||||
0.199036 | + | 0.979992i | \(0.436219\pi\) | |||||||
\(828\) | −26.8586 | − | 0.113054i | −0.933400 | − | 0.00392891i | ||||
\(829\) | 13.6692i | 0.474751i | 0.971418 | + | 0.237375i | \(0.0762871\pi\) | ||||
−0.971418 | + | 0.237375i | \(0.923713\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −29.8843 | + | 4.22441i | −1.03667 | + | 0.146543i | ||||
\(832\) | 30.5924 | − | 26.5942i | 1.06060 | − | 0.921986i | ||||
\(833\) | −0.545173 | −0.0188891 | ||||||||
\(834\) | −30.0183 | + | 29.8922i | −1.03945 | + | 1.03508i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 12.7552 | + | 3.73790i | 0.441149 | + | 0.129278i | ||||
\(837\) | 9.74808 | + | 21.7535i | 0.336943 | + | 0.751910i | ||||
\(838\) | −6.11377 | − | 8.16250i | −0.211197 | − | 0.281969i | ||||
\(839\) | 16.7180 | 0.577168 | 0.288584 | − | 0.957455i | \(-0.406816\pi\) | ||||
0.288584 | + | 0.957455i | \(0.406816\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 32.9007 | 1.13451 | ||||||||
\(842\) | −9.66459 | − | 12.9032i | −0.333064 | − | 0.444674i | ||||
\(843\) | −3.14521 | − | 22.2498i | −0.108327 | − | 0.766323i | ||||
\(844\) | 6.54685 | − | 22.3405i | 0.225352 | − | 0.768993i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 35.8715 | + | 27.1044i | 1.23329 | + | 0.931870i | ||||
\(847\) | 13.9498 | 0.479321 | ||||||||
\(848\) | −20.5361 | + | 32.0298i | −0.705214 | + | 1.09991i | ||||
\(849\) | 3.00356 | + | 21.2477i | 0.103082 | + | 0.729220i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 34.3665i | − | 1.17807i | ||||||
\(852\) | −3.05606 | + | 20.9815i | −0.104699 | + | 0.718814i | ||||
\(853\) | −7.83055 | −0.268113 | −0.134056 | − | 0.990974i | \(-0.542800\pi\) | ||||
−0.134056 | + | 0.990974i | \(0.542800\pi\) | |||||||
\(854\) | 2.91317 | + | 3.88939i | 0.0996868 | + | 0.133092i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 6.44725 | + | 17.2436i | 0.220362 | + | 0.589375i | ||||
\(857\) | 25.7234 | 0.878696 | 0.439348 | − | 0.898317i | \(-0.355210\pi\) | ||||
0.439348 | + | 0.898317i | \(0.355210\pi\) | |||||||
\(858\) | 22.3019 | + | 22.3960i | 0.761375 | + | 0.764587i | ||||
\(859\) | 12.5142 | 0.426980 | 0.213490 | − | 0.976945i | \(-0.431517\pi\) | ||||
0.213490 | + | 0.976945i | \(0.431517\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −6.94289 | − | 49.1152i | −0.236613 | − | 1.67384i | ||||
\(862\) | 4.47136 | − | 3.34908i | 0.152295 | − | 0.114070i | ||||
\(863\) | 24.1621i | 0.822489i | 0.911525 | + | 0.411244i | \(0.134906\pi\) | ||||
−0.911525 | + | 0.411244i | \(0.865094\pi\) | |||||||
\(864\) | −25.8794 | + | 13.9376i | −0.880435 | + | 0.474167i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 17.5080 | + | 23.3750i | 0.594947 | + | 0.794315i | ||||
\(867\) | 29.0763 | − | 4.11021i | 0.987484 | − | 0.139590i | ||||
\(868\) | −27.2032 | − | 7.97185i | −0.923338 | − | 0.270582i | ||||
\(869\) | −29.6212 | −1.00483 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 11.9579i | − | 0.405178i | ||||||
\(872\) | −13.4239 | + | 5.01908i | −0.454591 | + | 0.169968i | ||||
\(873\) | −6.68969 | − | 23.1892i | −0.226412 | − | 0.784836i | ||||
\(874\) | −9.90447 | − | 13.2235i | −0.335024 | − | 0.447291i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −41.1855 | − | 5.99887i | −1.39153 | − | 0.202683i | ||||
\(877\) | −18.7362 | −0.632675 | −0.316337 | − | 0.948647i | \(-0.602453\pi\) | ||||
−0.316337 | + | 0.948647i | \(0.602453\pi\) | |||||||
\(878\) | −24.2285 | − | 32.3475i | −0.817671 | − | 1.09167i | ||||
\(879\) | −7.70728 | − | 54.5227i | −0.259960 | − | 1.83900i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 45.2764i | − | 1.52540i | −0.646752 | − | 0.762701i | \(-0.723873\pi\) | ||
0.646752 | − | 0.762701i | \(-0.276127\pi\) | |||||||
\(882\) | −6.51039 | + | 8.61622i | −0.219216 | + | 0.290123i | ||||
\(883\) | − | 32.6703i | − | 1.09944i | −0.835348 | − | 0.549722i | \(-0.814734\pi\) | ||
0.835348 | − | 0.549722i | \(-0.185266\pi\) | |||||||
\(884\) | 0.610382 | − | 2.08287i | 0.0205294 | − | 0.0700547i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 24.8669 | − | 18.6254i | 0.835418 | − | 0.625734i | ||||
\(887\) | 24.6883i | 0.828953i | 0.910060 | + | 0.414477i | \(0.136035\pi\) | ||||
−0.910060 | + | 0.414477i | \(0.863965\pi\) | |||||||
\(888\) | −17.9727 | − | 33.0379i | −0.603125 | − | 1.10868i | ||||
\(889\) | −2.96216 | −0.0993477 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −12.2075 | − | 19.3972i | −0.408965 | − | 0.649831i | ||||
\(892\) | −6.05566 | + | 20.6644i | −0.202758 | + | 0.691895i | ||||
\(893\) | 27.6560i | 0.925474i | ||||||||
\(894\) | −6.62123 | + | 6.59342i | −0.221447 | + | 0.220517i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 7.36640 | − | 34.1694i | 0.246094 | − | 1.14152i | ||||
\(897\) | −5.49884 | − | 38.8998i | −0.183601 | − | 1.29883i | ||||
\(898\) | −7.63446 | − | 10.1928i | −0.254765 | − | 0.340137i | ||||
\(899\) | − | 36.0937i | − | 1.20379i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.03726i | 0.0678710i | ||||||||
\(902\) | −26.7188 | + | 20.0126i | −0.889639 | + | 0.666345i | ||||
\(903\) | 8.54237 | + | 60.4302i | 0.284272 | + | 2.01099i | ||||
\(904\) | −5.99644 | − | 16.0379i | −0.199439 | − | 0.533414i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −22.8555 | − | 22.9519i | −0.759323 | − | 0.762526i | ||||
\(907\) | − | 15.7502i | − | 0.522978i | −0.965206 | − | 0.261489i | \(-0.915787\pi\) | ||
0.965206 | − | 0.261489i | \(-0.0842135\pi\) | |||||||
\(908\) | 7.21982 | − | 24.6370i | 0.239598 | − | 0.817607i | ||||
\(909\) | 3.12814 | − | 0.902414i | 0.103754 | − | 0.0299312i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 50.4948 | 1.67297 | 0.836483 | − | 0.547993i | \(-0.184608\pi\) | ||||
0.836483 | + | 0.547993i | \(0.184608\pi\) | |||||||
\(912\) | −16.4371 | − | 7.53253i | −0.544287 | − | 0.249427i | ||||
\(913\) | − | 5.85482i | − | 0.193766i | ||||||
\(914\) | −15.7478 | − | 21.0250i | −0.520892 | − | 0.695445i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −28.7287 | − | 8.41889i | −0.949224 | − | 0.278168i | ||||
\(917\) | 11.6824i | 0.385788i | ||||||||
\(918\) | −0.763723 | + | 1.37617i | −0.0252066 | + | 0.0454203i | ||||
\(919\) | − | 22.6311i | − | 0.746530i | −0.927725 | − | 0.373265i | \(-0.878238\pi\) | ||
0.927725 | − | 0.373265i | \(-0.121762\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2.50402 | + | 17.7139i | 0.0825102 | + | 0.583692i | ||||
\(922\) | 38.7117 | − | 28.9953i | 1.27490 | − | 0.954909i | ||||
\(923\) | −31.0136 | −1.02082 | ||||||||
\(924\) | 26.9699 | + | 3.92831i | 0.887245 | + | 0.129232i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −8.42674 | + | 6.31169i | −0.276920 | + | 0.207415i | ||||
\(927\) | 33.5285 | − | 9.67240i | 1.10122 | − | 0.317683i | ||||
\(928\) | 44.3888 | − | 3.23417i | 1.45713 | − | 0.106167i | ||||
\(929\) | 45.8021i | 1.50272i | 0.659893 | + | 0.751360i | \(0.270602\pi\) | ||||
−0.659893 | + | 0.751360i | \(0.729398\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.64289 | −0.217712 | ||||||||
\(932\) | −11.7539 | + | 40.1093i | −0.385013 | + | 1.31382i | ||||
\(933\) | −8.81199 | + | 1.24566i | −0.288492 | + | 0.0407809i | ||||
\(934\) | −8.21949 | + | 6.15645i | −0.268950 | + | 0.201445i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −25.6298 | − | 34.5203i | −0.837736 | − | 1.12833i | ||||
\(937\) | 4.77203i | 0.155895i | 0.996957 | + | 0.0779477i | \(0.0248367\pi\) | ||||
−0.996957 | + | 0.0779477i | \(0.975163\pi\) | |||||||
\(938\) | −6.18162 | − | 8.25310i | −0.201837 | − | 0.269473i | ||||
\(939\) | 3.79988 | + | 26.8811i | 0.124004 | + | 0.877230i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 28.5031 | 0.929174 | 0.464587 | − | 0.885528i | \(-0.346203\pi\) | ||||
0.464587 | + | 0.885528i | \(0.346203\pi\) | |||||||
\(942\) | 11.3948 | − | 11.3469i | 0.371262 | − | 0.369702i | ||||
\(943\) | 41.4944 | 1.35124 | ||||||||
\(944\) | −0.924813 | + | 1.44241i | −0.0301001 | + | 0.0469466i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 32.8742 | − | 24.6230i | 1.06883 | − | 0.800562i | ||||
\(947\) | −59.7387 | −1.94125 | −0.970623 | − | 0.240606i | \(-0.922654\pi\) | ||||
−0.970623 | + | 0.240606i | \(0.922654\pi\) | |||||||
\(948\) | 39.8734 | + | 5.80777i | 1.29503 | + | 0.188628i | ||||
\(949\) | − | 60.8779i | − | 1.97618i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −2.17047 | − | 15.3543i | −0.0703823 | − | 0.497897i | ||||
\(952\) | −0.655466 | − | 1.75309i | −0.0212438 | − | 0.0568181i | ||||
\(953\) | −32.0009 | −1.03661 | −0.518305 | − | 0.855196i | \(-0.673437\pi\) | ||||
−0.518305 | + | 0.855196i | \(0.673437\pi\) | |||||||
\(954\) | 32.1980 | + | 24.3287i | 1.04245 | + | 0.787672i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −16.1076 | + | 54.9657i | −0.520956 | + | 1.77772i | ||||
\(957\) | 4.85720 | + | 34.3607i | 0.157011 | + | 1.11072i | ||||
\(958\) | −26.4470 | + | 19.8089i | −0.854463 | + | 0.639998i | ||||
\(959\) | −40.7446 | −1.31571 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.95413 | 0.321101 | ||||||||
\(962\) | 44.0311 | − | 32.9795i | 1.41962 | − | 1.06330i | ||||
\(963\) | 18.7612 | − | 5.41227i | 0.604570 | − | 0.174408i | ||||
\(964\) | 5.20247 | − | 17.7530i | 0.167560 | − | 0.571784i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −23.9044 | − | 24.0052i | −0.769111 | − | 0.772355i | ||||
\(967\) | −30.7086 | −0.987521 | −0.493761 | − | 0.869598i | \(-0.664378\pi\) | ||||
−0.493761 | + | 0.869598i | \(0.664378\pi\) | |||||||
\(968\) | 4.47248 | + | 11.9620i | 0.143751 | + | 0.384472i | ||||
\(969\) | −0.958603 | + | 0.135507i | −0.0307948 | + | 0.00435312i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 54.2279i | 1.74025i | 0.492827 | + | 0.870127i | \(0.335964\pi\) | ||||
−0.492827 | + | 0.870127i | \(0.664036\pi\) | |||||||
\(972\) | 12.6294 | + | 28.5043i | 0.405090 | + | 0.914277i | ||||
\(973\) | −53.4332 | −1.71299 | ||||||||
\(974\) | 8.79572 | − | 6.58805i | 0.281833 | − | 0.211095i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.40115 | + | 3.74503i | −0.0768590 | + | 0.119876i | ||||
\(977\) | 11.5621 | 0.369905 | 0.184952 | − | 0.982748i | \(-0.440787\pi\) | ||||
0.184952 | + | 0.982748i | \(0.440787\pi\) | |||||||
\(978\) | 14.0684 | + | 14.1278i | 0.449859 | + | 0.451757i | ||||
\(979\) | −31.7943 | −1.01615 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.21337 | + | 14.6053i | 0.134523 | + | 0.466311i | ||||
\(982\) | 17.4025 | + | 23.2342i | 0.555338 | + | 0.741432i | ||||
\(983\) | − | 48.8505i | − | 1.55809i | −0.626969 | − | 0.779044i | \(-0.715705\pi\) | ||
0.626969 | − | 0.779044i | \(-0.284295\pi\) | |||||||
\(984\) | 39.8904 | − | 21.7005i | 1.27166 | − | 0.691785i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 1.90737 | − | 1.42864i | 0.0607432 | − | 0.0454970i | ||||
\(987\) | 7.93738 | + | 56.1505i | 0.252650 | + | 1.78729i | ||||
\(988\) | 7.43745 | − | 25.3796i | 0.236617 | − | 0.807434i | ||||
\(989\) | −51.0538 | −1.62342 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 8.77480i | − | 0.278741i | −0.990240 | − | 0.139370i | \(-0.955492\pi\) | ||
0.990240 | − | 0.139370i | \(-0.0445079\pi\) | |||||||
\(992\) | −1.88582 | − | 25.8827i | −0.0598747 | − | 0.821775i | ||||
\(993\) | 7.69154 | − | 1.08727i | 0.244084 | − | 0.0345035i | ||||
\(994\) | −21.4049 | + | 16.0324i | −0.678923 | + | 0.508518i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −1.14794 | + | 7.88125i | −0.0363740 | + | 0.249727i | ||||
\(997\) | 5.99205 | 0.189770 | 0.0948851 | − | 0.995488i | \(-0.469752\pi\) | ||||
0.0948851 | + | 0.995488i | \(0.469752\pi\) | |||||||
\(998\) | −29.9908 | + | 22.4633i | −0.949343 | + | 0.711064i | ||||
\(999\) | −36.4036 | + | 16.3131i | −1.15176 | + | 0.516122i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))