Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 373.5 | ||
Character | \(\chi\) | \(=\) | 690.373 |
Dual form | 690.2.w.b.37.5 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{1}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.877679 | + | 0.479249i | −0.620613 | + | 0.338880i | ||||
\(3\) | 0.997452 | − | 0.0713392i | 0.575879 | − | 0.0411877i | ||||
\(4\) | 0.540641 | − | 0.841254i | 0.270320 | − | 0.420627i | ||||
\(5\) | 2.06085 | − | 0.867694i | 0.921641 | − | 0.388044i | ||||
\(6\) | −0.841254 | + | 0.540641i | −0.343440 | + | 0.220716i | ||||
\(7\) | −1.60657 | + | 4.30737i | −0.607225 | + | 1.62803i | 0.160341 | + | 0.987062i | \(0.448741\pi\) |
−0.767566 | + | 0.640970i | \(0.778532\pi\) | |||||||
\(8\) | −0.0713392 | + | 0.997452i | −0.0252222 | + | 0.352653i | ||||
\(9\) | 0.989821 | − | 0.142315i | 0.329940 | − | 0.0474383i | ||||
\(10\) | −1.39292 | + | 1.74922i | −0.440481 | + | 0.553151i | ||||
\(11\) | 1.86100 | + | 6.33797i | 0.561112 | + | 1.91097i | 0.368157 | + | 0.929763i | \(0.379989\pi\) |
0.192954 | + | 0.981208i | \(0.438193\pi\) | |||||||
\(12\) | 0.479249 | − | 0.877679i | 0.138347 | − | 0.253364i | ||||
\(13\) | −2.47066 | + | 0.921509i | −0.685238 | + | 0.255580i | −0.667880 | − | 0.744269i | \(-0.732798\pi\) |
−0.0173577 | + | 0.999849i | \(0.505525\pi\) | |||||||
\(14\) | −0.654253 | − | 4.55043i | −0.174857 | − | 1.21615i | ||||
\(15\) | 1.99370 | − | 1.01250i | 0.514771 | − | 0.261427i | ||||
\(16\) | −0.415415 | − | 0.909632i | −0.103854 | − | 0.227408i | ||||
\(17\) | −5.68433 | − | 1.23655i | −1.37865 | − | 0.299908i | −0.538668 | − | 0.842518i | \(-0.681072\pi\) |
−0.839985 | + | 0.542610i | \(0.817436\pi\) | |||||||
\(18\) | −0.800541 | + | 0.599278i | −0.188689 | + | 0.141251i | ||||
\(19\) | −2.22074 | − | 1.42718i | −0.509473 | − | 0.327419i | 0.260522 | − | 0.965468i | \(-0.416105\pi\) |
−0.769996 | + | 0.638049i | \(0.779742\pi\) | |||||||
\(20\) | 0.384230 | − | 2.20281i | 0.0859164 | − | 0.492563i | ||||
\(21\) | −1.29519 | + | 4.41100i | −0.282633 | + | 0.962560i | ||||
\(22\) | −4.67083 | − | 4.67083i | −0.995823 | − | 0.995823i | ||||
\(23\) | −4.35331 | + | 2.01214i | −0.907728 | + | 0.419560i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 3.49422 | − | 3.57638i | 0.698843 | − | 0.715275i | ||||
\(26\) | 1.72681 | − | 1.99285i | 0.338656 | − | 0.390830i | ||||
\(27\) | 0.977147 | − | 0.212565i | 0.188052 | − | 0.0409082i | ||||
\(28\) | 2.75501 | + | 3.68027i | 0.520649 | + | 0.695505i | ||||
\(29\) | 1.61466 | + | 2.51246i | 0.299834 | + | 0.466551i | 0.958181 | − | 0.286164i | \(-0.0923801\pi\) |
−0.658346 | + | 0.752715i | \(0.728744\pi\) | |||||||
\(30\) | −1.26459 | + | 1.84413i | −0.230881 | + | 0.336691i | ||||
\(31\) | 4.46391 | + | 5.15162i | 0.801741 | + | 0.925259i | 0.998475 | − | 0.0551980i | \(-0.0175790\pi\) |
−0.196734 | + | 0.980457i | \(0.563034\pi\) | |||||||
\(32\) | 0.800541 | + | 0.599278i | 0.141517 | + | 0.105938i | ||||
\(33\) | 2.30840 | + | 6.18906i | 0.401841 | + | 1.07738i | ||||
\(34\) | 5.58163 | − | 1.63892i | 0.957242 | − | 0.281072i | ||||
\(35\) | 0.426584 | + | 10.2709i | 0.0721059 | + | 1.73609i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | 5.71908 | − | 7.63980i | 0.940212 | − | 1.25598i | −0.0263792 | − | 0.999652i | \(-0.508398\pi\) |
0.966591 | − | 0.256324i | \(-0.0825114\pi\) | |||||||
\(38\) | 2.63308 | + | 0.188321i | 0.427141 | + | 0.0305497i | ||||
\(39\) | −2.39863 | + | 1.09542i | −0.384087 | + | 0.175407i | ||||
\(40\) | 0.718463 | + | 2.11750i | 0.113599 | + | 0.334806i | ||||
\(41\) | −0.533902 | + | 3.71337i | −0.0833815 | + | 0.579931i | 0.904706 | + | 0.426037i | \(0.140091\pi\) |
−0.988087 | + | 0.153894i | \(0.950818\pi\) | |||||||
\(42\) | −0.977210 | − | 4.49216i | −0.150787 | − | 0.693156i | ||||
\(43\) | −0.667815 | − | 9.33728i | −0.101841 | − | 1.42392i | −0.749507 | − | 0.661997i | \(-0.769709\pi\) |
0.647666 | − | 0.761925i | \(-0.275745\pi\) | |||||||
\(44\) | 6.33797 | + | 1.86100i | 0.955486 | + | 0.280556i | ||||
\(45\) | 1.91639 | − | 1.15215i | 0.285678 | − | 0.171753i | ||||
\(46\) | 2.85649 | − | 3.85233i | 0.421167 | − | 0.567995i | ||||
\(47\) | −0.431659 | + | 0.431659i | −0.0629639 | + | 0.0629639i | −0.737888 | − | 0.674924i | \(-0.764177\pi\) |
0.674924 | + | 0.737888i | \(0.264177\pi\) | |||||||
\(48\) | −0.479249 | − | 0.877679i | −0.0691736 | − | 0.126682i | ||||
\(49\) | −10.6821 | − | 9.25611i | −1.52602 | − | 1.32230i | ||||
\(50\) | −1.35283 | + | 4.81351i | −0.191318 | + | 0.680733i | ||||
\(51\) | −5.75806 | − | 0.827884i | −0.806290 | − | 0.115927i | ||||
\(52\) | −0.560517 | + | 2.57666i | −0.0777298 | + | 0.357318i | ||||
\(53\) | 3.32897 | + | 1.24164i | 0.457269 | + | 0.170553i | 0.567535 | − | 0.823350i | \(-0.307897\pi\) |
−0.110265 | + | 0.993902i | \(0.535170\pi\) | |||||||
\(54\) | −0.755750 | + | 0.654861i | −0.102844 | + | 0.0891153i | ||||
\(55\) | 9.33466 | + | 11.4468i | 1.25869 | + | 1.54349i | ||||
\(56\) | −4.18178 | − | 1.90976i | −0.558814 | − | 0.255202i | ||||
\(57\) | −2.31690 | − | 1.26512i | −0.306881 | − | 0.167570i | ||||
\(58\) | −2.62124 | − | 1.43131i | −0.344186 | − | 0.187940i | ||||
\(59\) | 6.21782 | + | 2.83958i | 0.809491 | + | 0.369682i | 0.776772 | − | 0.629782i | \(-0.216856\pi\) |
0.0327196 | + | 0.999465i | \(0.489583\pi\) | |||||||
\(60\) | 0.226104 | − | 2.22461i | 0.0291899 | − | 0.287196i | ||||
\(61\) | 8.79747 | − | 7.62305i | 1.12640 | − | 0.976031i | 0.126527 | − | 0.991963i | \(-0.459617\pi\) |
0.999873 | + | 0.0159319i | \(0.00507149\pi\) | |||||||
\(62\) | −6.38679 | − | 2.38215i | −0.811123 | − | 0.302533i | ||||
\(63\) | −0.977210 | + | 4.49216i | −0.123117 | + | 0.565959i | ||||
\(64\) | −0.989821 | − | 0.142315i | −0.123728 | − | 0.0177894i | ||||
\(65\) | −4.29208 | + | 4.04287i | −0.532366 | + | 0.501456i | ||||
\(66\) | −4.99214 | − | 4.32571i | −0.614490 | − | 0.532458i | ||||
\(67\) | 3.40473 | + | 6.23529i | 0.415953 | + | 0.761762i | 0.998704 | − | 0.0508891i | \(-0.0162055\pi\) |
−0.582751 | + | 0.812651i | \(0.698024\pi\) | |||||||
\(68\) | −4.11343 | + | 4.11343i | −0.498827 | + | 0.498827i | ||||
\(69\) | −4.19867 | + | 2.31757i | −0.505461 | + | 0.279003i | ||||
\(70\) | −5.29670 | − | 8.81007i | −0.633077 | − | 1.05300i | ||||
\(71\) | 5.72462 | + | 1.68090i | 0.679387 | + | 0.199486i | 0.603179 | − | 0.797606i | \(-0.293900\pi\) |
0.0762082 | + | 0.997092i | \(0.475719\pi\) | |||||||
\(72\) | 0.0713392 | + | 0.997452i | 0.00840740 | + | 0.117551i | ||||
\(73\) | 2.15880 | + | 9.92386i | 0.252669 | + | 1.16150i | 0.912175 | + | 0.409801i | \(0.134402\pi\) |
−0.659506 | + | 0.751699i | \(0.729234\pi\) | |||||||
\(74\) | −1.35815 | + | 9.44616i | −0.157882 | + | 1.09809i | ||||
\(75\) | 3.23018 | − | 3.81654i | 0.372989 | − | 0.440696i | ||||
\(76\) | −2.40125 | + | 1.09661i | −0.275442 | + | 0.125790i | ||||
\(77\) | −30.2898 | − | 2.16637i | −3.45184 | − | 0.246881i | ||||
\(78\) | 1.58025 | − | 2.11096i | 0.178928 | − | 0.239019i | ||||
\(79\) | 0.0599822 | − | 0.131343i | 0.00674853 | − | 0.0147772i | −0.906228 | − | 0.422790i | \(-0.861051\pi\) |
0.912976 | + | 0.408013i | \(0.133778\pi\) | |||||||
\(80\) | −1.64539 | − | 1.51416i | −0.183960 | − | 0.169289i | ||||
\(81\) | 0.959493 | − | 0.281733i | 0.106610 | − | 0.0313036i | ||||
\(82\) | −1.31103 | − | 3.51502i | −0.144780 | − | 0.388169i | ||||
\(83\) | 0.922531 | + | 0.690598i | 0.101261 | + | 0.0758030i | 0.648708 | − | 0.761037i | \(-0.275309\pi\) |
−0.547447 | + | 0.836840i | \(0.684400\pi\) | |||||||
\(84\) | 3.01054 | + | 3.47435i | 0.328477 | + | 0.379083i | ||||
\(85\) | −12.7875 | + | 2.38391i | −1.38700 | + | 0.258572i | ||||
\(86\) | 5.06101 | + | 7.87508i | 0.545743 | + | 0.849192i | ||||
\(87\) | 1.78978 | + | 2.39087i | 0.191885 | + | 0.256328i | ||||
\(88\) | −6.45459 | + | 1.40411i | −0.688061 | + | 0.149679i | ||||
\(89\) | 0.183967 | − | 0.212309i | 0.0195004 | − | 0.0225047i | −0.745916 | − | 0.666040i | \(-0.767988\pi\) |
0.765416 | + | 0.643536i | \(0.222533\pi\) | |||||||
\(90\) | −1.12981 | + | 1.92965i | −0.119092 | + | 0.203403i | ||||
\(91\) | − | 12.1225i | − | 1.27078i | ||||||
\(92\) | −0.660856 | + | 4.75008i | −0.0688990 | + | 0.495230i | ||||
\(93\) | 4.82005 | + | 4.82005i | 0.499816 | + | 0.499816i | ||||
\(94\) | 0.171986 | − | 0.585730i | 0.0177390 | − | 0.0604134i | ||||
\(95\) | −5.81498 | − | 1.01429i | −0.596604 | − | 0.104064i | ||||
\(96\) | 0.841254 | + | 0.540641i | 0.0858601 | + | 0.0551789i | ||||
\(97\) | 6.96135 | − | 5.21120i | 0.706818 | − | 0.529117i | −0.184311 | − | 0.982868i | \(-0.559005\pi\) |
0.891129 | + | 0.453751i | \(0.149914\pi\) | |||||||
\(98\) | 13.8115 | + | 3.00450i | 1.39517 | + | 0.303500i | ||||
\(99\) | 2.74404 | + | 6.00862i | 0.275787 | + | 0.603889i | ||||
\(100\) | −1.11952 | − | 4.87306i | −0.111952 | − | 0.487306i | ||||
\(101\) | 0.0300202 | + | 0.208795i | 0.00298712 | + | 0.0207759i | 0.991260 | − | 0.131919i | \(-0.0421139\pi\) |
−0.988273 | + | 0.152695i | \(0.951205\pi\) | |||||||
\(102\) | 5.45049 | − | 2.03293i | 0.539679 | − | 0.201290i | ||||
\(103\) | 3.60612 | − | 6.60411i | 0.355321 | − | 0.650722i | −0.637484 | − | 0.770464i | \(-0.720025\pi\) |
0.992805 | + | 0.119742i | \(0.0382066\pi\) | |||||||
\(104\) | −0.742906 | − | 2.53010i | −0.0728479 | − | 0.248097i | ||||
\(105\) | 1.15821 | + | 10.2142i | 0.113030 | + | 0.996809i | ||||
\(106\) | −3.51682 | + | 0.505643i | −0.341584 | + | 0.0491124i | ||||
\(107\) | −0.193283 | + | 2.70245i | −0.0186853 | + | 0.261255i | 0.979519 | + | 0.201352i | \(0.0645336\pi\) |
−0.998204 | + | 0.0599029i | \(0.980921\pi\) | |||||||
\(108\) | 0.349464 | − | 0.936950i | 0.0336272 | − | 0.0901580i | ||||
\(109\) | 12.8725 | − | 8.27266i | 1.23296 | − | 0.792378i | 0.248614 | − | 0.968603i | \(-0.420025\pi\) |
0.984350 | + | 0.176225i | \(0.0563887\pi\) | |||||||
\(110\) | −13.6787 | − | 5.57303i | −1.30422 | − | 0.531368i | ||||
\(111\) | 5.15950 | − | 8.02833i | 0.489718 | − | 0.762016i | ||||
\(112\) | 4.58551 | − | 0.327962i | 0.433290 | − | 0.0309895i | ||||
\(113\) | −1.43763 | + | 0.785006i | −0.135241 | + | 0.0738472i | −0.545445 | − | 0.838147i | \(-0.683639\pi\) |
0.410204 | + | 0.911994i | \(0.365458\pi\) | |||||||
\(114\) | 2.63980 | 0.247240 | ||||||||
\(115\) | −7.22560 | + | 7.92406i | −0.673791 | + | 0.738922i | ||||
\(116\) | 2.98656 | 0.277295 | ||||||||
\(117\) | −2.31437 | + | 1.26374i | −0.213963 | + | 0.116833i | ||||
\(118\) | −6.81812 | + | 0.487641i | −0.627659 | + | 0.0448910i | ||||
\(119\) | 14.4585 | − | 22.4979i | 1.32541 | − | 2.06238i | ||||
\(120\) | 0.867694 | + | 2.06085i | 0.0792092 | + | 0.188129i | ||||
\(121\) | −27.4528 | + | 17.6429i | −2.49571 | + | 1.60390i | ||||
\(122\) | −4.06801 | + | 10.9068i | −0.368301 | + | 0.987452i | ||||
\(123\) | −0.267633 | + | 3.74200i | −0.0241317 | + | 0.337405i | ||||
\(124\) | 6.74719 | − | 0.970100i | 0.605916 | − | 0.0871175i | ||||
\(125\) | 4.09786 | − | 10.4023i | 0.366524 | − | 0.930409i | ||||
\(126\) | −1.29519 | − | 4.41100i | −0.115384 | − | 0.392963i | ||||
\(127\) | −0.675727 | + | 1.23750i | −0.0599611 | + | 0.109811i | −0.905940 | − | 0.423405i | \(-0.860835\pi\) |
0.845979 | + | 0.533216i | \(0.179017\pi\) | |||||||
\(128\) | 0.936950 | − | 0.349464i | 0.0828154 | − | 0.0308886i | ||||
\(129\) | −1.33223 | − | 9.26585i | −0.117296 | − | 0.815812i | ||||
\(130\) | 1.82952 | − | 5.60531i | 0.160460 | − | 0.491618i | ||||
\(131\) | −2.15901 | − | 4.72758i | −0.188634 | − | 0.413051i | 0.791560 | − | 0.611092i | \(-0.209269\pi\) |
−0.980194 | + | 0.198041i | \(0.936542\pi\) | |||||||
\(132\) | 6.45459 | + | 1.40411i | 0.561800 | + | 0.122212i | ||||
\(133\) | 9.71518 | − | 7.27269i | 0.842413 | − | 0.630622i | ||||
\(134\) | −5.97651 | − | 3.84087i | −0.516292 | − | 0.331801i | ||||
\(135\) | 1.82931 | − | 1.28593i | 0.157442 | − | 0.110675i | ||||
\(136\) | 1.63892 | − | 5.58163i | 0.140536 | − | 0.478621i | ||||
\(137\) | 7.86645 | + | 7.86645i | 0.672077 | + | 0.672077i | 0.958194 | − | 0.286118i | \(-0.0923649\pi\) |
−0.286118 | + | 0.958194i | \(0.592365\pi\) | |||||||
\(138\) | 2.57439 | − | 4.04630i | 0.219147 | − | 0.344444i | ||||
\(139\) | − | 3.68232i | − | 0.312330i | −0.987731 | − | 0.156165i | \(-0.950087\pi\) | ||
0.987731 | − | 0.156165i | \(-0.0499132\pi\) | |||||||
\(140\) | 8.87102 | + | 5.19398i | 0.749738 | + | 0.438971i | ||||
\(141\) | −0.399765 | + | 0.461353i | −0.0336663 | + | 0.0388529i | ||||
\(142\) | −5.82995 | + | 1.26823i | −0.489238 | + | 0.106427i | ||||
\(143\) | −10.4384 | − | 13.9441i | −0.872902 | − | 1.16606i | ||||
\(144\) | −0.540641 | − | 0.841254i | −0.0450534 | − | 0.0701045i | ||||
\(145\) | 5.50761 | + | 3.77677i | 0.457382 | + | 0.313644i | ||||
\(146\) | −6.65074 | − | 7.67536i | −0.550419 | − | 0.635218i | ||||
\(147\) | −11.3152 | − | 8.47047i | −0.933264 | − | 0.698633i | ||||
\(148\) | −3.33504 | − | 8.94159i | −0.274139 | − | 0.734994i | ||||
\(149\) | −0.0518987 | + | 0.0152388i | −0.00425171 | + | 0.00124841i | −0.283858 | − | 0.958866i | \(-0.591614\pi\) |
0.279606 | + | 0.960115i | \(0.409796\pi\) | |||||||
\(150\) | −1.00599 | + | 4.89775i | −0.0821385 | + | 0.399900i | ||||
\(151\) | 4.65942 | − | 10.2027i | 0.379179 | − | 0.830285i | −0.619785 | − | 0.784772i | \(-0.712780\pi\) |
0.998964 | − | 0.0455138i | \(-0.0144925\pi\) | |||||||
\(152\) | 1.58197 | − | 2.11327i | 0.128315 | − | 0.171409i | ||||
\(153\) | −5.80245 | − | 0.415000i | −0.469101 | − | 0.0335507i | ||||
\(154\) | 27.6230 | − | 12.6150i | 2.22592 | − | 1.01654i | ||||
\(155\) | 13.6695 | + | 6.74343i | 1.09796 | + | 0.541645i | ||||
\(156\) | −0.375273 | + | 2.61008i | −0.0300459 | + | 0.208974i | ||||
\(157\) | 0.504810 | + | 2.32057i | 0.0402882 | + | 0.185202i | 0.992893 | − | 0.119008i | \(-0.0379713\pi\) |
−0.952605 | + | 0.304210i | \(0.901608\pi\) | |||||||
\(158\) | 0.0103007 | + | 0.144023i | 0.000819483 | + | 0.0114579i | ||||
\(159\) | 3.40907 | + | 1.00099i | 0.270357 | + | 0.0793839i | ||||
\(160\) | 2.16979 | + | 0.540398i | 0.171537 | + | 0.0427222i | ||||
\(161\) | −1.67315 | − | 21.9839i | −0.131863 | − | 1.73258i | ||||
\(162\) | −0.707107 | + | 0.707107i | −0.0555556 | + | 0.0555556i | ||||
\(163\) | −5.05537 | − | 9.25821i | −0.395967 | − | 0.725159i | 0.601302 | − | 0.799022i | \(-0.294649\pi\) |
−0.997268 | + | 0.0738631i | \(0.976467\pi\) | |||||||
\(164\) | 2.83524 | + | 2.45675i | 0.221395 | + | 0.191840i | ||||
\(165\) | 10.1275 | + | 10.7518i | 0.788424 | + | 0.837023i | ||||
\(166\) | −1.14065 | − | 0.164001i | −0.0885320 | − | 0.0127290i | ||||
\(167\) | 0.583058 | − | 2.68027i | 0.0451184 | − | 0.207406i | −0.949069 | − | 0.315068i | \(-0.897973\pi\) |
0.994188 | + | 0.107662i | \(0.0343364\pi\) | |||||||
\(168\) | −4.30737 | − | 1.60657i | −0.332321 | − | 0.123949i | ||||
\(169\) | −4.56976 | + | 3.95972i | −0.351520 | + | 0.304594i | ||||
\(170\) | 10.0808 | − | 8.22071i | 0.773165 | − | 0.630500i | ||||
\(171\) | −2.40125 | − | 1.09661i | −0.183628 | − | 0.0838601i | ||||
\(172\) | −8.21607 | − | 4.48631i | −0.626469 | − | 0.342078i | ||||
\(173\) | 14.7436 | + | 8.05064i | 1.12094 | + | 0.612079i | 0.929277 | − | 0.369383i | \(-0.120431\pi\) |
0.191661 | + | 0.981461i | \(0.438613\pi\) | |||||||
\(174\) | −2.71667 | − | 1.24066i | −0.205950 | − | 0.0940544i | ||||
\(175\) | 9.79108 | + | 20.7966i | 0.740136 | + | 1.57207i | ||||
\(176\) | 4.99214 | − | 4.32571i | 0.376297 | − | 0.326063i | ||||
\(177\) | 6.40455 | + | 2.38877i | 0.481396 | + | 0.179551i | ||||
\(178\) | −0.0597148 | + | 0.274505i | −0.00447582 | + | 0.0205750i | ||||
\(179\) | 24.1115 | + | 3.46671i | 1.80218 | + | 0.259114i | 0.959983 | − | 0.280059i | \(-0.0903540\pi\) |
0.842195 | + | 0.539173i | \(0.181263\pi\) | |||||||
\(180\) | 0.0668266 | − | 2.23507i | 0.00498096 | − | 0.166592i | ||||
\(181\) | −5.71531 | − | 4.95235i | −0.424816 | − | 0.368105i | 0.416056 | − | 0.909339i | \(-0.363412\pi\) |
−0.840872 | + | 0.541234i | \(0.817957\pi\) | |||||||
\(182\) | 5.80970 | + | 10.6397i | 0.430643 | + | 0.788665i | ||||
\(183\) | 8.23123 | − | 8.23123i | 0.608470 | − | 0.608470i | ||||
\(184\) | −1.69645 | − | 4.48576i | −0.125064 | − | 0.330695i | ||||
\(185\) | 5.15717 | − | 20.7069i | 0.379163 | − | 1.52240i | ||||
\(186\) | −6.54046 | − | 1.92045i | −0.479569 | − | 0.140814i | ||||
\(187\) | −2.74130 | − | 38.3284i | −0.200464 | − | 2.80285i | ||||
\(188\) | 0.129762 | + | 0.596507i | 0.00946388 | + | 0.0435047i | ||||
\(189\) | −0.654253 | + | 4.55043i | −0.0475899 | + | 0.330995i | ||||
\(190\) | 5.58978 | − | 1.89660i | 0.405525 | − | 0.137594i | ||||
\(191\) | 2.23263 | − | 1.01961i | 0.161548 | − | 0.0737763i | −0.333000 | − | 0.942927i | \(-0.608061\pi\) |
0.494548 | + | 0.869150i | \(0.335334\pi\) | |||||||
\(192\) | −0.997452 | − | 0.0713392i | −0.0719849 | − | 0.00514846i | ||||
\(193\) | −12.8252 | + | 17.1324i | −0.923175 | + | 1.23322i | 0.0489606 | + | 0.998801i | \(0.484409\pi\) |
−0.972136 | + | 0.234417i | \(0.924682\pi\) | |||||||
\(194\) | −3.61237 | + | 7.90998i | −0.259353 | + | 0.567904i | ||||
\(195\) | −3.99272 | + | 4.33876i | −0.285925 | + | 0.310705i | ||||
\(196\) | −13.5619 | + | 3.98214i | −0.968709 | + | 0.284439i | ||||
\(197\) | 2.65660 | + | 7.12261i | 0.189275 | + | 0.507465i | 0.996577 | − | 0.0826734i | \(-0.0263458\pi\) |
−0.807302 | + | 0.590139i | \(0.799073\pi\) | |||||||
\(198\) | −5.28801 | − | 3.95856i | −0.375803 | − | 0.281322i | ||||
\(199\) | −11.3355 | − | 13.0819i | −0.803553 | − | 0.927350i | 0.195017 | − | 0.980800i | \(-0.437524\pi\) |
−0.998571 | + | 0.0534501i | \(0.982978\pi\) | |||||||
\(200\) | 3.31799 | + | 3.74045i | 0.234617 | + | 0.264490i | ||||
\(201\) | 3.84087 | + | 5.97651i | 0.270914 | + | 0.421551i | ||||
\(202\) | −0.126413 | − | 0.168868i | −0.00889437 | − | 0.0118815i | ||||
\(203\) | −13.4161 | + | 2.91850i | −0.941627 | + | 0.204838i | ||||
\(204\) | −3.80950 | + | 4.39640i | −0.266719 | + | 0.307810i | ||||
\(205\) | 2.12178 | + | 8.11597i | 0.148191 | + | 0.566844i | ||||
\(206\) | 7.52451i | 0.524258i | ||||||||
\(207\) | −4.02264 | + | 2.61120i | −0.279593 | + | 0.181491i | ||||
\(208\) | 1.86458 | + | 1.86458i | 0.129286 | + | 0.129286i | ||||
\(209\) | 4.91266 | − | 16.7310i | 0.339816 | − | 1.15731i | ||||
\(210\) | −5.91171 | − | 8.40976i | −0.407947 | − | 0.580329i | ||||
\(211\) | 3.84365 | + | 2.47016i | 0.264608 | + | 0.170053i | 0.666217 | − | 0.745758i | \(-0.267913\pi\) |
−0.401609 | + | 0.915811i | \(0.631549\pi\) | |||||||
\(212\) | 2.84431 | − | 2.12923i | 0.195348 | − | 0.146236i | ||||
\(213\) | 5.82995 | + | 1.26823i | 0.399461 | + | 0.0868975i | ||||
\(214\) | −1.12550 | − | 2.46451i | −0.0769379 | − | 0.168470i | ||||
\(215\) | −9.47816 | − | 18.6633i | −0.646405 | − | 1.27283i | ||||
\(216\) | 0.142315 | + | 0.989821i | 0.00968330 | + | 0.0673488i | ||||
\(217\) | −29.3615 | + | 10.9513i | −1.99319 | + | 0.743421i | ||||
\(218\) | −7.33327 | + | 13.4299i | −0.496672 | + | 0.909587i | ||||
\(219\) | 2.86126 | + | 9.74457i | 0.193346 | + | 0.658477i | ||||
\(220\) | 14.6764 | − | 1.66418i | 0.989483 | − | 0.112199i | ||||
\(221\) | 15.1835 | − | 2.18306i | 1.02136 | − | 0.146849i | ||||
\(222\) | −0.680811 | + | 9.51898i | −0.0456930 | + | 0.638872i | ||||
\(223\) | −2.76645 | + | 7.41714i | −0.185255 | + | 0.496689i | −0.996065 | − | 0.0886206i | \(-0.971754\pi\) |
0.810810 | + | 0.585309i | \(0.199027\pi\) | |||||||
\(224\) | −3.86743 | + | 2.48545i | −0.258404 | + | 0.166066i | ||||
\(225\) | 2.94968 | − | 4.03725i | 0.196645 | − | 0.269150i | ||||
\(226\) | 0.885566 | − | 1.37797i | 0.0589070 | − | 0.0916610i | ||||
\(227\) | −4.65874 | + | 0.333200i | −0.309212 | + | 0.0221152i | −0.225083 | − | 0.974340i | \(-0.572265\pi\) |
−0.0841288 | + | 0.996455i | \(0.526811\pi\) | |||||||
\(228\) | −2.31690 | + | 1.26512i | −0.153440 | + | 0.0837848i | ||||
\(229\) | 18.2568 | 1.20644 | 0.603220 | − | 0.797575i | \(-0.293884\pi\) | ||||
0.603220 | + | 0.797575i | \(0.293884\pi\) | |||||||
\(230\) | 2.54416 | − | 10.4176i | 0.167757 | − | 0.686919i | ||||
\(231\) | −30.3672 | −1.99801 | ||||||||
\(232\) | −2.62124 | + | 1.43131i | −0.172093 | + | 0.0939699i | ||||
\(233\) | 11.3358 | − | 0.810752i | 0.742632 | − | 0.0531141i | 0.305104 | − | 0.952319i | \(-0.401309\pi\) |
0.437528 | + | 0.899205i | \(0.355854\pi\) | |||||||
\(234\) | 1.42563 | − | 2.21832i | 0.0931961 | − | 0.145016i | ||||
\(235\) | −0.515037 | + | 1.26413i | −0.0335973 | + | 0.0824629i | ||||
\(236\) | 5.75042 | − | 3.69557i | 0.374320 | − | 0.240561i | ||||
\(237\) | 0.0504595 | − | 0.135287i | 0.00327770 | − | 0.00878785i | ||||
\(238\) | −1.90785 | + | 26.6752i | −0.123667 | + | 1.72909i | ||||
\(239\) | −26.8261 | + | 3.85701i | −1.73524 | + | 0.249489i | −0.936118 | − | 0.351685i | \(-0.885609\pi\) |
−0.799118 | + | 0.601174i | \(0.794700\pi\) | |||||||
\(240\) | −1.74922 | − | 1.39292i | −0.112911 | − | 0.0899129i | ||||
\(241\) | −2.87903 | − | 9.80509i | −0.185455 | − | 0.631601i | −0.998761 | − | 0.0497653i | \(-0.984153\pi\) |
0.813306 | − | 0.581836i | \(-0.197666\pi\) | |||||||
\(242\) | 15.6394 | − | 28.6415i | 1.00534 | − | 1.84115i | ||||
\(243\) | 0.936950 | − | 0.349464i | 0.0601054 | − | 0.0224181i | ||||
\(244\) | −1.65665 | − | 11.5222i | −0.106056 | − | 0.737635i | ||||
\(245\) | −30.0457 | − | 9.80666i | −1.91955 | − | 0.626524i | ||||
\(246\) | −1.55845 | − | 3.41254i | −0.0993633 | − | 0.217575i | ||||
\(247\) | 6.80186 | + | 1.47965i | 0.432792 | + | 0.0941482i | ||||
\(248\) | −5.45695 | + | 4.08502i | −0.346517 | + | 0.259399i | ||||
\(249\) | 0.969447 | + | 0.623026i | 0.0614362 | + | 0.0394827i | ||||
\(250\) | 1.38868 | + | 11.0938i | 0.0878278 | + | 0.701631i | ||||
\(251\) | 6.24779 | − | 21.2780i | 0.394357 | − | 1.34306i | −0.488151 | − | 0.872759i | \(-0.662329\pi\) |
0.882508 | − | 0.470297i | \(-0.155853\pi\) | |||||||
\(252\) | 3.25073 | + | 3.25073i | 0.204777 | + | 0.204777i | ||||
\(253\) | −20.8544 | − | 23.8466i | −1.31110 | − | 1.49922i | ||||
\(254\) | − | 1.40997i | − | 0.0884695i | ||||||
\(255\) | −12.5849 | + | 3.29009i | −0.788095 | + | 0.206033i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | −16.3242 | + | 3.55111i | −1.01827 | + | 0.221512i | −0.690568 | − | 0.723268i | \(-0.742639\pi\) |
−0.327706 | + | 0.944780i | \(0.606276\pi\) | |||||||
\(258\) | 5.60992 | + | 7.49397i | 0.349258 | + | 0.466554i | ||||
\(259\) | 23.7194 | + | 36.9080i | 1.47385 | + | 2.29335i | ||||
\(260\) | 1.08061 | + | 5.79646i | 0.0670163 | + | 0.359481i | ||||
\(261\) | 1.95578 | + | 2.25709i | 0.121060 | + | 0.139711i | ||||
\(262\) | 4.16061 | + | 3.11459i | 0.257043 | + | 0.192420i | ||||
\(263\) | 5.44339 | + | 14.5943i | 0.335654 | + | 0.899923i | 0.989660 | + | 0.143434i | \(0.0458143\pi\) |
−0.654006 | + | 0.756489i | \(0.726913\pi\) | |||||||
\(264\) | −6.33797 | + | 1.86100i | −0.390075 | + | 0.114536i | ||||
\(265\) | 7.93788 | − | 0.329688i | 0.487620 | − | 0.0202526i | ||||
\(266\) | −5.04138 | + | 11.0391i | −0.309107 | + | 0.676849i | ||||
\(267\) | 0.168352 | − | 0.224892i | 0.0103030 | − | 0.0137632i | ||||
\(268\) | 7.08619 | + | 0.506814i | 0.432858 | + | 0.0309586i | ||||
\(269\) | −22.2705 | + | 10.1706i | −1.35786 | + | 0.620113i | −0.955397 | − | 0.295325i | \(-0.904572\pi\) |
−0.402460 | + | 0.915437i | \(0.631845\pi\) | |||||||
\(270\) | −0.989269 | + | 2.00533i | −0.0602050 | + | 0.122040i | ||||
\(271\) | −1.22298 | + | 8.50602i | −0.0742908 | + | 0.516704i | 0.918365 | + | 0.395734i | \(0.129510\pi\) |
−0.992656 | + | 0.120970i | \(0.961399\pi\) | |||||||
\(272\) | 1.23655 | + | 5.68433i | 0.0749769 | + | 0.344663i | ||||
\(273\) | −0.864810 | − | 12.0916i | −0.0523407 | − | 0.731818i | ||||
\(274\) | −10.6742 | − | 3.13423i | −0.644853 | − | 0.189346i | ||||
\(275\) | 29.1697 | + | 15.4906i | 1.75900 | + | 0.934120i | ||||
\(276\) | −0.320305 | + | 4.78512i | −0.0192801 | + | 0.288031i | ||||
\(277\) | 7.66273 | − | 7.66273i | 0.460409 | − | 0.460409i | −0.438381 | − | 0.898789i | \(-0.644448\pi\) |
0.898789 | + | 0.438381i | \(0.144448\pi\) | |||||||
\(278\) | 1.76475 | + | 3.23190i | 0.105843 | + | 0.193836i | ||||
\(279\) | 5.15162 | + | 4.46391i | 0.308420 | + | 0.267247i | ||||
\(280\) | −10.2751 | − | 0.307217i | −0.614055 | − | 0.0183597i | ||||
\(281\) | −25.9882 | − | 3.73654i | −1.55033 | − | 0.222903i | −0.686665 | − | 0.726974i | \(-0.740926\pi\) |
−0.863662 | + | 0.504071i | \(0.831835\pi\) | |||||||
\(282\) | 0.129762 | − | 0.596507i | 0.00772722 | − | 0.0355215i | ||||
\(283\) | −4.54288 | − | 1.69441i | −0.270046 | − | 0.100722i | 0.210793 | − | 0.977531i | \(-0.432395\pi\) |
−0.480839 | + | 0.876809i | \(0.659668\pi\) | |||||||
\(284\) | 4.50902 | − | 3.90709i | 0.267561 | − | 0.231843i | ||||
\(285\) | −5.87252 | − | 0.596871i | −0.347858 | − | 0.0353556i | ||||
\(286\) | 15.8442 | + | 7.23582i | 0.936889 | + | 0.427863i | ||||
\(287\) | −15.1371 | − | 8.26549i | −0.893515 | − | 0.487896i | ||||
\(288\) | 0.877679 | + | 0.479249i | 0.0517177 | + | 0.0282400i | ||||
\(289\) | 15.3188 | + | 6.99587i | 0.901107 | + | 0.411522i | ||||
\(290\) | −6.64393 | − | 0.675275i | −0.390145 | − | 0.0396535i | ||||
\(291\) | 6.57185 | − | 5.69454i | 0.385249 | − | 0.333820i | ||||
\(292\) | 9.51562 | + | 3.54914i | 0.556860 | + | 0.207698i | ||||
\(293\) | 4.78434 | − | 21.9932i | 0.279504 | − | 1.28486i | −0.596523 | − | 0.802596i | \(-0.703451\pi\) |
0.876027 | − | 0.482263i | \(-0.160185\pi\) | |||||||
\(294\) | 13.9906 | + | 2.01154i | 0.815948 | + | 0.117316i | ||||
\(295\) | 15.2779 | + | 0.456796i | 0.889513 | + | 0.0265957i | ||||
\(296\) | 7.21234 | + | 6.24953i | 0.419209 | + | 0.363247i | ||||
\(297\) | 3.16570 | + | 5.79755i | 0.183693 | + | 0.336408i | ||||
\(298\) | 0.0382472 | − | 0.0382472i | 0.00221560 | − | 0.00221560i | ||||
\(299\) | 8.90134 | − | 8.98293i | 0.514778 | − | 0.519496i | ||||
\(300\) | −1.46431 | − | 4.78077i | −0.0845420 | − | 0.276018i | ||||
\(301\) | 41.2920 | + | 12.1244i | 2.38003 | + | 0.698840i | ||||
\(302\) | 0.800163 | + | 11.1877i | 0.0460442 | + | 0.643782i | ||||
\(303\) | 0.0448389 | + | 0.206121i | 0.00257593 | + | 0.0118414i | ||||
\(304\) | −0.375683 | + | 2.61293i | −0.0215469 | + | 0.149862i | ||||
\(305\) | 11.5158 | − | 23.3435i | 0.659393 | − | 1.33664i | ||||
\(306\) | 5.29158 | − | 2.41658i | 0.302499 | − | 0.138147i | ||||
\(307\) | 7.09824 | + | 0.507676i | 0.405118 | + | 0.0289746i | 0.272412 | − | 0.962181i | \(-0.412179\pi\) |
0.132706 | + | 0.991155i | \(0.457633\pi\) | |||||||
\(308\) | −18.1984 | + | 24.3102i | −1.03695 | + | 1.38520i | ||||
\(309\) | 3.12580 | − | 6.84454i | 0.177820 | − | 0.389372i | ||||
\(310\) | −15.2292 | + | 0.632521i | −0.864960 | + | 0.0359248i | ||||
\(311\) | 9.88363 | − | 2.90209i | 0.560449 | − | 0.164563i | 0.0107750 | − | 0.999942i | \(-0.496570\pi\) |
0.549674 | + | 0.835379i | \(0.314752\pi\) | |||||||
\(312\) | −0.921509 | − | 2.47066i | −0.0521701 | − | 0.139874i | ||||
\(313\) | −6.43220 | − | 4.81509i | −0.363569 | − | 0.272165i | 0.401838 | − | 0.915711i | \(-0.368372\pi\) |
−0.765407 | + | 0.643546i | \(0.777462\pi\) | |||||||
\(314\) | −1.55519 | − | 1.79479i | −0.0877646 | − | 0.101286i | ||||
\(315\) | 1.88394 | + | 10.1056i | 0.106148 | + | 0.569386i | ||||
\(316\) | −0.0780637 | − | 0.121470i | −0.00439143 | − | 0.00683319i | ||||
\(317\) | −18.0844 | − | 24.1579i | −1.01572 | − | 1.35684i | −0.932843 | − | 0.360283i | \(-0.882680\pi\) |
−0.0828766 | − | 0.996560i | \(-0.526411\pi\) | |||||||
\(318\) | −3.47179 | + | 0.755242i | −0.194688 | + | 0.0423519i | ||||
\(319\) | −12.9190 | + | 14.9093i | −0.723326 | + | 0.834762i | ||||
\(320\) | −2.16336 | + | 0.565572i | −0.120936 | + | 0.0316164i | ||||
\(321\) | 2.70935i | 0.151221i | ||||||||
\(322\) | 12.0043 | + | 18.4930i | 0.668972 | + | 1.03057i | ||||
\(323\) | 10.8587 | + | 10.8587i | 0.604191 | + | 0.604191i | ||||
\(324\) | 0.281733 | − | 0.959493i | 0.0156518 | − | 0.0533052i | ||||
\(325\) | −5.33736 | + | 12.0560i | −0.296063 | + | 0.668744i | ||||
\(326\) | 8.87398 | + | 5.70296i | 0.491484 | + | 0.315858i | ||||
\(327\) | 12.2496 | − | 9.16990i | 0.677402 | − | 0.507097i | ||||
\(328\) | −3.66582 | − | 0.797451i | −0.202411 | − | 0.0440319i | ||||
\(329\) | −1.16583 | − | 2.55280i | −0.0642740 | − | 0.140740i | ||||
\(330\) | −14.0414 | − | 4.58300i | −0.772956 | − | 0.252286i | ||||
\(331\) | 1.41134 | + | 9.81612i | 0.0775745 | + | 0.539543i | 0.991137 | + | 0.132844i | \(0.0424110\pi\) |
−0.913562 | + | 0.406699i | \(0.866680\pi\) | |||||||
\(332\) | 1.07973 | − | 0.402717i | 0.0592577 | − | 0.0221020i | ||||
\(333\) | 4.57362 | − | 8.37595i | 0.250633 | − | 0.458999i | ||||
\(334\) | 0.772781 | + | 2.63185i | 0.0422847 | + | 0.144008i | ||||
\(335\) | 12.4270 | + | 9.89574i | 0.678957 | + | 0.540662i | ||||
\(336\) | 4.55043 | − | 0.654253i | 0.248246 | − | 0.0356924i | ||||
\(337\) | 0.0139026 | − | 0.194384i | 0.000757324 | − | 0.0105888i | −0.997059 | − | 0.0766326i | \(-0.975583\pi\) |
0.997817 | + | 0.0660438i | \(0.0210377\pi\) | |||||||
\(338\) | 2.11309 | − | 5.66542i | 0.114937 | − | 0.308158i | ||||
\(339\) | −1.37797 | + | 0.885566i | −0.0748409 | + | 0.0480973i | ||||
\(340\) | −4.90798 | + | 12.0464i | −0.266172 | + | 0.653307i | ||||
\(341\) | −24.3435 | + | 37.8793i | −1.31828 | + | 2.05128i | ||||
\(342\) | 2.63308 | − | 0.188321i | 0.142380 | − | 0.0101832i | ||||
\(343\) | 28.7868 | − | 15.7188i | 1.55434 | − | 0.848734i | ||||
\(344\) | 9.36113 | 0.504718 | ||||||||
\(345\) | −6.64189 | + | 8.41934i | −0.357588 | + | 0.453282i | ||||
\(346\) | −16.7984 | −0.903090 | ||||||||
\(347\) | −20.4595 | + | 11.1717i | −1.09832 | + | 0.599729i | −0.923007 | − | 0.384783i | \(-0.874276\pi\) |
−0.175315 | + | 0.984512i | \(0.556094\pi\) | |||||||
\(348\) | 2.97895 | − | 0.213059i | 0.159689 | − | 0.0114212i | ||||
\(349\) | −9.68031 | + | 15.0629i | −0.518175 | + | 0.806297i | −0.997450 | − | 0.0713684i | \(-0.977263\pi\) |
0.479275 | + | 0.877665i | \(0.340900\pi\) | |||||||
\(350\) | −18.5601 | − | 13.5603i | −0.992082 | − | 0.724830i | ||||
\(351\) | −2.21832 | + | 1.42563i | −0.118405 | + | 0.0760943i | ||||
\(352\) | −2.30840 | + | 6.18906i | −0.123038 | + | 0.329878i | ||||
\(353\) | −1.52690 | + | 21.3489i | −0.0812687 | + | 1.13628i | 0.779198 | + | 0.626778i | \(0.215627\pi\) |
−0.860467 | + | 0.509507i | \(0.829828\pi\) | |||||||
\(354\) | −6.76596 | + | 0.972798i | −0.359607 | + | 0.0517036i | ||||
\(355\) | 13.2561 | − | 1.50313i | 0.703560 | − | 0.0797779i | ||||
\(356\) | −0.0791456 | − | 0.269545i | −0.00419471 | − | 0.0142859i | ||||
\(357\) | 12.8167 | − | 23.4720i | 0.678332 | − | 1.24227i | ||||
\(358\) | −22.8236 | + | 8.51275i | −1.20626 | + | 0.449913i | ||||
\(359\) | 1.54171 | + | 10.7228i | 0.0813683 | + | 0.565929i | 0.989198 | + | 0.146589i | \(0.0468294\pi\) |
−0.907829 | + | 0.419340i | \(0.862262\pi\) | |||||||
\(360\) | 1.01250 | + | 1.99370i | 0.0533636 | + | 0.105077i | ||||
\(361\) | −4.99804 | − | 10.9442i | −0.263055 | − | 0.576010i | ||||
\(362\) | 7.38962 | + | 1.60751i | 0.388390 | + | 0.0844890i | ||||
\(363\) | −26.1242 | + | 19.5564i | −1.37117 | + | 1.02644i | ||||
\(364\) | −10.1981 | − | 6.55392i | −0.534526 | − | 0.343519i | ||||
\(365\) | 13.0599 | + | 18.5784i | 0.683584 | + | 0.972439i | ||||
\(366\) | −3.27957 | + | 11.1692i | −0.171426 | + | 0.583823i | ||||
\(367\) | −17.7638 | − | 17.7638i | −0.927263 | − | 0.927263i | 0.0702658 | − | 0.997528i | \(-0.477615\pi\) |
−0.997528 | + | 0.0702658i | \(0.977615\pi\) | |||||||
\(368\) | 3.63874 | + | 3.12404i | 0.189682 | + | 0.162852i | ||||
\(369\) | 3.75156i | 0.195298i | ||||||||
\(370\) | 5.39742 | + | 20.6456i | 0.280599 | + | 1.07331i | ||||
\(371\) | −10.6964 | + | 12.3443i | −0.555330 | + | 0.640885i | ||||
\(372\) | 6.66079 | − | 1.44897i | 0.345346 | − | 0.0751255i | ||||
\(373\) | −2.76255 | − | 3.69033i | −0.143039 | − | 0.191078i | 0.723300 | − | 0.690534i | \(-0.242624\pi\) |
−0.866339 | + | 0.499456i | \(0.833533\pi\) | |||||||
\(374\) | 20.7748 | + | 32.3262i | 1.07424 | + | 1.67155i | ||||
\(375\) | 3.34533 | − | 10.6681i | 0.172752 | − | 0.550899i | ||||
\(376\) | −0.399765 | − | 0.461353i | −0.0206163 | − | 0.0237925i | ||||
\(377\) | −6.30452 | − | 4.71950i | −0.324699 | − | 0.243067i | ||||
\(378\) | −1.60657 | − | 4.30737i | −0.0826328 | − | 0.221547i | ||||
\(379\) | −30.9791 | + | 9.09628i | −1.59129 | + | 0.467244i | −0.953105 | − | 0.302640i | \(-0.902132\pi\) |
−0.638183 | + | 0.769885i | \(0.720314\pi\) | |||||||
\(380\) | −3.99709 | + | 4.34350i | −0.205046 | + | 0.222817i | ||||
\(381\) | −0.585723 | + | 1.28256i | −0.0300075 | + | 0.0657073i | ||||
\(382\) | −1.47089 | + | 1.96488i | −0.0752572 | + | 0.100532i | ||||
\(383\) | −1.32167 | − | 0.0945275i | −0.0675340 | − | 0.00483013i | 0.0375313 | − | 0.999295i | \(-0.488051\pi\) |
−0.105065 | + | 0.994465i | \(0.533505\pi\) | |||||||
\(384\) | 0.909632 | − | 0.415415i | 0.0464195 | − | 0.0211991i | ||||
\(385\) | −64.3025 | + | 21.8177i | −3.27716 | + | 1.11193i | ||||
\(386\) | 3.04568 | − | 21.1832i | 0.155021 | − | 1.07820i | ||||
\(387\) | −1.98985 | − | 9.14720i | −0.101150 | − | 0.464978i | ||||
\(388\) | −0.620352 | − | 8.67365i | −0.0314936 | − | 0.440338i | ||||
\(389\) | −24.8409 | − | 7.29394i | −1.25948 | − | 0.369818i | −0.417181 | − | 0.908823i | \(-0.636982\pi\) |
−0.842302 | + | 0.539006i | \(0.818800\pi\) | |||||||
\(390\) | 1.42498 | − | 5.72155i | 0.0721569 | − | 0.289722i | ||||
\(391\) | 27.2338 | − | 6.05459i | 1.37727 | − | 0.306194i | ||||
\(392\) | 9.99458 | − | 9.99458i | 0.504802 | − | 0.504802i | ||||
\(393\) | −2.49077 | − | 4.56151i | −0.125643 | − | 0.230098i | ||||
\(394\) | −5.74514 | − | 4.97820i | −0.289436 | − | 0.250798i | ||||
\(395\) | 0.00964917 | − | 0.322724i | 0.000485502 | − | 0.0162380i | ||||
\(396\) | 6.53831 | + | 0.940067i | 0.328562 | + | 0.0472402i | ||||
\(397\) | −4.61693 | + | 21.2237i | −0.231717 | + | 1.06519i | 0.703386 | + | 0.710808i | \(0.251671\pi\) |
−0.935103 | + | 0.354377i | \(0.884693\pi\) | |||||||
\(398\) | 16.2184 | + | 6.04916i | 0.812956 | + | 0.303217i | ||||
\(399\) | 9.17160 | − | 7.94723i | 0.459154 | − | 0.397859i | ||||
\(400\) | −4.70473 | − | 1.69277i | −0.235237 | − | 0.0846385i | ||||
\(401\) | −34.1587 | − | 15.5997i | −1.70580 | − | 0.779014i | −0.997310 | − | 0.0732959i | \(-0.976648\pi\) |
−0.708493 | − | 0.705718i | \(-0.750624\pi\) | |||||||
\(402\) | −6.23529 | − | 3.40473i | −0.310988 | − | 0.169812i | ||||
\(403\) | −15.7761 | − | 8.61438i | −0.785862 | − | 0.429113i | ||||
\(404\) | 0.191880 | + | 0.0876284i | 0.00954636 | + | 0.00435968i | ||||
\(405\) | 1.73291 | − | 1.41315i | 0.0861092 | − | 0.0702202i | ||||
\(406\) | 10.3764 | − | 8.99117i | 0.514970 | − | 0.446224i | ||||
\(407\) | 59.0641 | + | 22.0298i | 2.92770 | + | 1.09197i | ||||
\(408\) | 1.23655 | − | 5.68433i | 0.0612184 | − | 0.281416i | ||||
\(409\) | −20.4260 | − | 2.93681i | −1.01000 | − | 0.145216i | −0.382601 | − | 0.923914i | \(-0.624972\pi\) |
−0.627399 | + | 0.778698i | \(0.715881\pi\) | |||||||
\(410\) | −5.75181 | − | 6.10636i | −0.284062 | − | 0.301571i | ||||
\(411\) | 8.40760 | + | 7.28523i | 0.414716 | + | 0.359354i | ||||
\(412\) | −3.60612 | − | 6.60411i | −0.177661 | − | 0.325361i | ||||
\(413\) | −22.2205 | + | 22.2205i | −1.09340 | + | 1.09340i | ||||
\(414\) | 2.27917 | − | 4.21964i | 0.112015 | − | 0.207384i | ||||
\(415\) | 2.50043 | + | 0.622746i | 0.122741 | + | 0.0305694i | ||||
\(416\) | −2.53010 | − | 0.742906i | −0.124049 | − | 0.0364240i | ||||
\(417\) | −0.262694 | − | 3.67294i | −0.0128642 | − | 0.179865i | ||||
\(418\) | 3.70657 | + | 17.0388i | 0.181294 | + | 0.833397i | ||||
\(419\) | −0.138226 | + | 0.961386i | −0.00675281 | + | 0.0469668i | −0.992919 | − | 0.118791i | \(-0.962098\pi\) |
0.986166 | + | 0.165758i | \(0.0530071\pi\) | |||||||
\(420\) | 9.21895 | + | 4.54789i | 0.449839 | + | 0.221914i | ||||
\(421\) | 30.7197 | − | 14.0292i | 1.49719 | − | 0.683743i | 0.512599 | − | 0.858628i | \(-0.328683\pi\) |
0.984589 | + | 0.174885i | \(0.0559554\pi\) | |||||||
\(422\) | −4.55731 | − | 0.325945i | −0.221846 | − | 0.0158668i | ||||
\(423\) | −0.365834 | + | 0.488697i | −0.0177874 | + | 0.0237612i | ||||
\(424\) | −1.47596 | + | 3.23191i | −0.0716792 | + | 0.156956i | ||||
\(425\) | −24.2846 | + | 16.0085i | −1.17798 | + | 0.776528i | ||||
\(426\) | −5.72462 | + | 1.68090i | −0.277359 | + | 0.0814398i | ||||
\(427\) | 18.7016 | + | 50.1408i | 0.905032 | + | 2.42649i | ||||
\(428\) | 2.16895 | + | 1.62365i | 0.104840 | + | 0.0784822i | ||||
\(429\) | −11.4066 | − | 13.1639i | −0.550713 | − | 0.635557i | ||||
\(430\) | 17.2631 | + | 11.8380i | 0.832503 | + | 0.570878i | ||||
\(431\) | 6.14843 | + | 9.56714i | 0.296159 | + | 0.460833i | 0.957163 | − | 0.289550i | \(-0.0935055\pi\) |
−0.661004 | + | 0.750383i | \(0.729869\pi\) | |||||||
\(432\) | −0.599278 | − | 0.800541i | −0.0288328 | − | 0.0385161i | ||||
\(433\) | 10.0778 | − | 2.19230i | 0.484310 | − | 0.105355i | 0.0362203 | − | 0.999344i | \(-0.488468\pi\) |
0.448090 | + | 0.893989i | \(0.352105\pi\) | |||||||
\(434\) | 20.5216 | − | 23.6832i | 0.985067 | − | 1.13683i | ||||
\(435\) | 5.76301 | + | 3.37424i | 0.276315 | + | 0.161782i | ||||
\(436\) | − | 15.3016i | − | 0.732813i | ||||||
\(437\) | 12.5393 | + | 1.74453i | 0.599835 | + | 0.0834521i | ||||
\(438\) | −7.18135 | − | 7.18135i | −0.343138 | − | 0.343138i | ||||
\(439\) | 0.994162 | − | 3.38580i | 0.0474487 | − | 0.161596i | −0.932361 | − | 0.361530i | \(-0.882255\pi\) |
0.979809 | + | 0.199934i | \(0.0640728\pi\) | |||||||
\(440\) | −12.0836 | + | 8.49427i | −0.576063 | + | 0.404948i | ||||
\(441\) | −11.8907 | − | 7.64167i | −0.566222 | − | 0.363889i | ||||
\(442\) | −12.2800 | + | 9.19273i | −0.584102 | + | 0.437253i | ||||
\(443\) | 22.6969 | + | 4.93741i | 1.07836 | + | 0.234584i | 0.716457 | − | 0.697631i | \(-0.245762\pi\) |
0.361906 | + | 0.932215i | \(0.382126\pi\) | |||||||
\(444\) | −3.96443 | − | 8.68089i | −0.188143 | − | 0.411977i | ||||
\(445\) | 0.194909 | − | 0.597163i | 0.00923956 | − | 0.0283083i | ||||
\(446\) | −1.12660 | − | 7.83569i | −0.0533461 | − | 0.371031i | ||||
\(447\) | −0.0506794 | + | 0.0189024i | −0.00239705 | + | 0.000894054i | ||||
\(448\) | 2.20321 | − | 4.03489i | 0.104092 | − | 0.190630i | ||||
\(449\) | −1.74942 | − | 5.95799i | −0.0825604 | − | 0.281175i | 0.907857 | − | 0.419279i | \(-0.137717\pi\) |
−0.990418 | + | 0.138104i | \(0.955899\pi\) | |||||||
\(450\) | −0.654022 | + | 4.95704i | −0.0308309 | + | 0.233677i | ||||
\(451\) | −24.5288 | + | 3.52672i | −1.15502 | + | 0.166067i | ||||
\(452\) | −0.116853 | + | 1.63382i | −0.00549631 | + | 0.0768484i | ||||
\(453\) | 3.91970 | − | 10.5091i | 0.184164 | − | 0.493762i | ||||
\(454\) | 3.92919 | − | 2.52514i | 0.184406 | − | 0.118511i | ||||
\(455\) | −10.5186 | − | 24.9827i | −0.493121 | − | 1.17121i | ||||
\(456\) | 1.42718 | − | 2.22074i | 0.0668340 | − | 0.103996i | ||||
\(457\) | 28.5264 | − | 2.04025i | 1.33441 | − | 0.0954388i | 0.614175 | − | 0.789170i | \(-0.289489\pi\) |
0.720234 | + | 0.693731i | \(0.244034\pi\) | |||||||
\(458\) | −16.0236 | + | 8.74953i | −0.748732 | + | 0.408839i | ||||
\(459\) | −5.81727 | −0.271527 | ||||||||
\(460\) | 2.75969 | + | 10.3626i | 0.128671 | + | 0.483160i | ||||
\(461\) | 18.5368 | 0.863346 | 0.431673 | − | 0.902030i | \(-0.357923\pi\) | ||||
0.431673 | + | 0.902030i | \(0.357923\pi\) | |||||||
\(462\) | 26.6526 | − | 14.5534i | 1.23999 | − | 0.677087i | ||||
\(463\) | 31.9294 | − | 2.28363i | 1.48388 | − | 0.106129i | 0.694261 | − | 0.719723i | \(-0.255731\pi\) |
0.789622 | + | 0.613594i | \(0.210277\pi\) | |||||||
\(464\) | 1.61466 | − | 2.51246i | 0.0749586 | − | 0.116638i | ||||
\(465\) | 14.1157 | + | 5.75107i | 0.654601 | + | 0.266700i | ||||
\(466\) | −9.56063 | + | 6.14424i | −0.442888 | + | 0.284627i | ||||
\(467\) | −9.55043 | + | 25.6057i | −0.441941 | + | 1.18489i | 0.504897 | + | 0.863180i | \(0.331530\pi\) |
−0.946838 | + | 0.321710i | \(0.895742\pi\) | |||||||
\(468\) | −0.188116 | + | 2.63020i | −0.00869565 | + | 0.121581i | ||||
\(469\) | −32.3276 | + | 4.64801i | −1.49275 | + | 0.214625i | ||||
\(470\) | −0.153797 | − | 1.35633i | −0.00709412 | − | 0.0625630i | ||||
\(471\) | 0.669071 | + | 2.27865i | 0.0308292 | + | 0.104995i | ||||
\(472\) | −3.27592 | + | 5.99940i | −0.150787 | + | 0.276145i | ||||
\(473\) | 57.9366 | − | 21.6092i | 2.66393 | − | 0.993594i | ||||
\(474\) | 0.0205490 | + | 0.142921i | 0.000943847 | + | 0.00656460i | ||||
\(475\) | −12.8639 | + | 2.95532i | −0.590236 | + | 0.135599i | ||||
\(476\) | −11.1096 | − | 24.3266i | −0.509207 | − | 1.11501i | ||||
\(477\) | 3.47179 | + | 0.755242i | 0.158962 | + | 0.0345802i | ||||
\(478\) | 21.6962 | − | 16.2416i | 0.992363 | − | 0.742874i | ||||
\(479\) | 1.62976 | + | 1.04738i | 0.0744655 | + | 0.0478561i | 0.577344 | − | 0.816501i | \(-0.304089\pi\) |
−0.502878 | + | 0.864357i | \(0.667726\pi\) | |||||||
\(480\) | 2.20281 | + | 0.384230i | 0.100544 | + | 0.0175376i | ||||
\(481\) | −7.08977 | + | 24.1455i | −0.323266 | + | 1.10094i | ||||
\(482\) | 7.22595 | + | 7.22595i | 0.329133 | + | 0.329133i | ||||
\(483\) | −3.23721 | − | 21.8086i | −0.147298 | − | 0.992324i | ||||
\(484\) | 32.6332i | 1.48333i | ||||||||
\(485\) | 9.82458 | − | 16.7798i | 0.446111 | − | 0.761933i | ||||
\(486\) | −0.654861 | + | 0.755750i | −0.0297051 | + | 0.0342815i | ||||
\(487\) | 1.86185 | − | 0.405021i | 0.0843685 | − | 0.0183532i | −0.170183 | − | 0.985412i | \(-0.554436\pi\) |
0.254551 | + | 0.967059i | \(0.418072\pi\) | |||||||
\(488\) | 6.97602 | + | 9.31887i | 0.315790 | + | 0.421846i | ||||
\(489\) | −5.70296 | − | 8.87398i | −0.257897 | − | 0.401295i | ||||
\(490\) | 31.0703 | − | 5.79229i | 1.40361 | − | 0.261669i | ||||
\(491\) | 12.5772 | + | 14.5149i | 0.567602 | + | 0.655048i | 0.964893 | − | 0.262645i | \(-0.0845948\pi\) |
−0.397290 | + | 0.917693i | \(0.630049\pi\) | |||||||
\(492\) | 3.00328 | + | 2.24822i | 0.135398 | + | 0.101358i | ||||
\(493\) | −6.07147 | − | 16.2782i | −0.273445 | − | 0.733135i | ||||
\(494\) | −6.67897 | + | 1.96112i | −0.300501 | + | 0.0882351i | ||||
\(495\) | 10.8687 | + | 10.0019i | 0.488512 | + | 0.449551i | ||||
\(496\) | 2.83171 | − | 6.20057i | 0.127147 | − | 0.278414i | ||||
\(497\) | −16.4372 | + | 21.9576i | −0.737310 | + | 0.984931i | ||||
\(498\) | −1.14945 | − | 0.0822102i | −0.0515080 | − | 0.00368393i | ||||
\(499\) | −22.4298 | + | 10.2433i | −1.00409 | + | 0.458554i | −0.848460 | − | 0.529260i | \(-0.822470\pi\) |
−0.155635 | + | 0.987815i | \(0.549742\pi\) | |||||||
\(500\) | −6.53549 | − | 9.07124i | −0.292276 | − | 0.405678i | ||||
\(501\) | 0.390364 | − | 2.71504i | 0.0174402 | − | 0.121299i | ||||
\(502\) | 4.71391 | + | 21.6695i | 0.210392 | + | 0.967157i | ||||
\(503\) | −1.37217 | − | 19.1855i | −0.0611822 | − | 0.855438i | −0.931683 | − | 0.363272i | \(-0.881660\pi\) |
0.870501 | − | 0.492167i | \(-0.163795\pi\) | |||||||
\(504\) | −4.41100 | − | 1.29519i | −0.196482 | − | 0.0576922i | ||||
\(505\) | 0.243037 | + | 0.404247i | 0.0108150 | + | 0.0179887i | ||||
\(506\) | 29.7319 | + | 10.9352i | 1.32174 | + | 0.486128i | ||||
\(507\) | −4.27563 | + | 4.27563i | −0.189888 | + | 0.189888i | ||||
\(508\) | 0.675727 | + | 1.23750i | 0.0299806 | + | 0.0549053i | ||||
\(509\) | −6.08706 | − | 5.27447i | −0.269804 | − | 0.233787i | 0.509441 | − | 0.860505i | \(-0.329852\pi\) |
−0.779246 | + | 0.626719i | \(0.784398\pi\) | |||||||
\(510\) | 9.46870 | − | 8.91892i | 0.419281 | − | 0.394937i | ||||
\(511\) | −46.2140 | − | 6.64457i | −2.04439 | − | 0.293938i | ||||
\(512\) | 0.212565 | − | 0.977147i | 0.00939415 | − | 0.0431842i | ||||
\(513\) | −2.47336 | − | 0.922516i | −0.109202 | − | 0.0407301i | ||||
\(514\) | 12.6255 | − | 10.9401i | 0.556888 | − | 0.482546i | ||||
\(515\) | 1.70133 | − | 16.7391i | 0.0749693 | − | 0.737612i | ||||
\(516\) | −8.51518 | − | 3.88875i | −0.374860 | − | 0.171193i | ||||
\(517\) | −3.53916 | − | 1.93253i | −0.155652 | − | 0.0849924i | ||||
\(518\) | −38.5061 | − | 21.0259i | −1.69186 | − | 0.923827i | ||||
\(519\) | 15.2804 | + | 6.97832i | 0.670735 | + | 0.306314i | ||||
\(520\) | −3.72637 | − | 4.56955i | −0.163412 | − | 0.200388i | ||||
\(521\) | 4.32484 | − | 3.74750i | 0.189475 | − | 0.164181i | −0.554958 | − | 0.831879i | \(-0.687266\pi\) |
0.744432 | + | 0.667698i | \(0.232720\pi\) | |||||||
\(522\) | −2.79826 | − | 1.04370i | −0.122476 | − | 0.0456814i | ||||
\(523\) | 5.34614 | − | 24.5758i | 0.233770 | − | 1.07462i | −0.699272 | − | 0.714856i | \(-0.746492\pi\) |
0.933042 | − | 0.359768i | \(-0.117144\pi\) | |||||||
\(524\) | −5.14434 | − | 0.739645i | −0.224732 | − | 0.0323115i | ||||
\(525\) | 11.2497 | + | 20.0451i | 0.490979 | + | 0.874839i | ||||
\(526\) | −11.7719 | − | 10.2004i | −0.513277 | − | 0.444757i | ||||
\(527\) | −19.0041 | − | 34.8034i | −0.827831 | − | 1.51606i | ||||
\(528\) | 4.67083 | − | 4.67083i | 0.203272 | − | 0.203272i | ||||
\(529\) | 14.9026 | − | 17.5189i | 0.647938 | − | 0.761693i | ||||
\(530\) | −6.80891 | + | 4.09358i | −0.295760 | + | 0.177814i | ||||
\(531\) | 6.55865 | + | 1.92579i | 0.284621 | + | 0.0835723i | ||||
\(532\) | −0.865755 | − | 12.1048i | −0.0375352 | − | 0.524811i | ||||
\(533\) | −2.10281 | − | 9.66647i | −0.0910829 | − | 0.418701i | ||||
\(534\) | −0.0399798 | + | 0.278065i | −0.00173009 | + | 0.0120331i | ||||
\(535\) | 1.94657 | + | 5.73705i | 0.0841575 | + | 0.248034i | ||||
\(536\) | −6.46229 | + | 2.95123i | −0.279129 | + | 0.127474i | ||||
\(537\) | 24.2974 | + | 1.73778i | 1.04851 | + | 0.0749909i | ||||
\(538\) | 14.6721 | − | 19.5996i | 0.632560 | − | 0.845001i | ||||
\(539\) | 38.7856 | − | 84.9286i | 1.67061 | − | 3.65813i | ||||
\(540\) | −0.0927917 | − | 2.23414i | −0.00399312 | − | 0.0961422i | ||||
\(541\) | −3.26182 | + | 0.957758i | −0.140237 | + | 0.0411772i | −0.351098 | − | 0.936339i | \(-0.614191\pi\) |
0.210861 | + | 0.977516i | \(0.432373\pi\) | |||||||
\(542\) | −3.00312 | − | 8.05166i | −0.128995 | − | 0.345849i | ||||
\(543\) | −6.05405 | − | 4.53200i | −0.259804 | − | 0.194487i | ||||
\(544\) | −3.80950 | − | 4.39640i | −0.163331 | − | 0.188494i | ||||
\(545\) | 19.3502 | − | 28.2181i | 0.828872 | − | 1.20873i | ||||
\(546\) | 6.55392 | + | 10.1981i | 0.280482 | + | 0.436438i | ||||
\(547\) | −4.87119 | − | 6.50715i | −0.208277 | − | 0.278226i | 0.684223 | − | 0.729273i | \(-0.260142\pi\) |
−0.892500 | + | 0.451047i | \(0.851051\pi\) | |||||||
\(548\) | 10.8706 | − | 2.36476i | 0.464369 | − | 0.101017i | ||||
\(549\) | 7.62305 | − | 8.79747i | 0.325344 | − | 0.375467i | ||||
\(550\) | −33.0255 | + | 0.383754i | −1.40821 | + | 0.0163633i | ||||
\(551\) | − | 7.88393i | − | 0.335867i | ||||||
\(552\) | −2.01214 | − | 4.35331i | −0.0856424 | − | 0.185289i | ||||
\(553\) | 0.469376 | + | 0.469376i | 0.0199599 | + | 0.0199599i | ||||
\(554\) | −3.05306 | + | 10.3978i | −0.129712 | + | 0.441759i | ||||
\(555\) | 3.66682 | − | 21.0221i | 0.155648 | − | 0.892337i | ||||
\(556\) | −3.09776 | − | 1.99081i | −0.131374 | − | 0.0844293i | ||||
\(557\) | 13.0932 | − | 9.80143i | 0.554775 | − | 0.415300i | −0.284765 | − | 0.958597i | \(-0.591915\pi\) |
0.839540 | + | 0.543298i | \(0.182825\pi\) | |||||||
\(558\) | −6.66079 | − | 1.44897i | −0.281974 | − | 0.0613397i | ||||
\(559\) | 10.2543 | + | 22.4538i | 0.433712 | + | 0.949696i | ||||
\(560\) | 9.16548 | − | 4.65470i | 0.387312 | − | 0.196697i | ||||
\(561\) | −5.46863 | − | 38.0351i | −0.230886 | − | 1.60585i | ||||
\(562\) | 24.6000 | − | 9.17534i | 1.03769 | − | 0.387038i | ||||
\(563\) | 8.91765 | − | 16.3315i | 0.375834 | − | 0.688289i | −0.619477 | − | 0.785015i | \(-0.712655\pi\) |
0.995311 | + | 0.0967258i | \(0.0308370\pi\) | |||||||
\(564\) | 0.171986 | + | 0.585730i | 0.00724191 | + | 0.0246637i | ||||
\(565\) | −2.28160 | + | 2.86521i | −0.0959876 | + | 0.120540i | ||||
\(566\) | 4.79923 | − | 0.690026i | 0.201727 | − | 0.0290039i | ||||
\(567\) | −0.327962 | + | 4.58551i | −0.0137731 | + | 0.192573i | ||||
\(568\) | −2.08501 | + | 5.59012i | −0.0874849 | + | 0.234556i | ||||
\(569\) | −26.2311 | + | 16.8577i | −1.09966 | + | 0.706711i | −0.959017 | − | 0.283349i | \(-0.908555\pi\) |
−0.140647 | + | 0.990060i | \(0.544918\pi\) | |||||||
\(570\) | 5.44024 | − | 2.29054i | 0.227867 | − | 0.0959401i | ||||
\(571\) | −12.1631 | + | 18.9261i | −0.509008 | + | 0.792032i | −0.996716 | − | 0.0809750i | \(-0.974197\pi\) |
0.487708 | + | 0.873007i | \(0.337833\pi\) | |||||||
\(572\) | −17.3739 | + | 1.24261i | −0.726439 | + | 0.0519560i | ||||
\(573\) | 2.15421 | − | 1.17629i | 0.0899932 | − | 0.0491400i | ||||
\(574\) | 17.2467 | 0.719865 | ||||||||
\(575\) | −8.01523 | + | 22.5999i | −0.334258 | + | 0.942482i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 26.5413 | − | 14.4927i | 1.10493 | − | 0.603338i | 0.180074 | − | 0.983653i | \(-0.442366\pi\) |
0.924857 | + | 0.380315i | \(0.124185\pi\) | |||||||
\(578\) | −16.7978 | + | 1.20140i | −0.698695 | + | 0.0499717i | ||||
\(579\) | −11.5703 | + | 18.0037i | −0.480844 | + | 0.748208i | ||||
\(580\) | 6.15486 | − | 2.59142i | 0.255567 | − | 0.107603i | ||||
\(581\) | −4.45677 | + | 2.86419i | −0.184898 | + | 0.118827i | ||||
\(582\) | −3.03887 | + | 8.14753i | −0.125965 | + | 0.337726i | ||||
\(583\) | −1.67429 | + | 23.4096i | −0.0693420 | + | 0.969528i | ||||
\(584\) | −10.0526 | + | 1.44534i | −0.415979 | + | 0.0598088i | ||||
\(585\) | −3.67303 | + | 4.61254i | −0.151861 | + | 0.190705i | ||||
\(586\) | 6.34113 | + | 21.5959i | 0.261949 | + | 0.892118i | ||||
\(587\) | −1.20576 | + | 2.20818i | −0.0497669 | + | 0.0911413i | −0.901379 | − | 0.433032i | \(-0.857444\pi\) |
0.851612 | + | 0.524173i | \(0.175626\pi\) | |||||||
\(588\) | −13.2433 | + | 4.93949i | −0.546144 | + | 0.203701i | ||||
\(589\) | −2.56087 | − | 17.8112i | −0.105519 | − | 0.733900i | ||||
\(590\) | −13.6280 | + | 6.92099i | −0.561056 | + | 0.284933i | ||||
\(591\) | 3.15795 | + | 6.91495i | 0.129901 | + | 0.284443i | ||||
\(592\) | −9.32520 | − | 2.02857i | −0.383263 | − | 0.0833739i | ||||
\(593\) | −2.05329 | + | 1.53708i | −0.0843187 | + | 0.0631202i | −0.640605 | − | 0.767870i | \(-0.721317\pi\) |
0.556287 | + | 0.830990i | \(0.312226\pi\) | |||||||
\(594\) | −5.55694 | − | 3.57123i | −0.228004 | − | 0.146529i | ||||
\(595\) | 10.2756 | − | 58.9104i | 0.421258 | − | 2.41509i | ||||
\(596\) | −0.0152388 | + | 0.0518987i | −0.000624207 | + | 0.00212585i | ||||
\(597\) | −12.2399 | − | 12.2399i | −0.500945 | − | 0.500945i | ||||
\(598\) | −3.50746 | + | 12.1501i | −0.143431 | + | 0.496854i | ||||
\(599\) | − | 25.7133i | − | 1.05062i | −0.850912 | − | 0.525309i | \(-0.823950\pi\) | ||
0.850912 | − | 0.525309i | \(-0.176050\pi\) | |||||||
\(600\) | 3.57638 | + | 3.49422i | 0.146005 | + | 0.142651i | ||||
\(601\) | 17.7538 | − | 20.4890i | 0.724193 | − | 0.835763i | −0.267612 | − | 0.963527i | \(-0.586234\pi\) |
0.991805 | + | 0.127764i | \(0.0407799\pi\) | |||||||
\(602\) | −42.0517 | + | 9.14779i | −1.71390 | + | 0.372836i | ||||
\(603\) | 4.25744 | + | 5.68728i | 0.173377 | + | 0.231604i | ||||
\(604\) | −6.06400 | − | 9.43576i | −0.246741 | − | 0.383936i | ||||
\(605\) | −41.2676 | + | 60.1799i | −1.67777 | + | 2.44666i | ||||
\(606\) | −0.138138 | − | 0.159419i | −0.00561146 | − | 0.00647597i | ||||
\(607\) | −15.8184 | − | 11.8415i | −0.642048 | − | 0.480631i | 0.227959 | − | 0.973671i | \(-0.426795\pi\) |
−0.870007 | + | 0.493040i | \(0.835886\pi\) | |||||||
\(608\) | −0.922516 | − | 2.47336i | −0.0374130 | − | 0.100308i | ||||
\(609\) | −13.1737 | + | 3.86816i | −0.533827 | + | 0.156746i | ||||
\(610\) | 1.08016 | + | 26.0070i | 0.0437345 | + | 1.05299i | ||||
\(611\) | 0.668705 | − | 1.46426i | 0.0270529 | − | 0.0592376i | ||||
\(612\) | −3.48616 | + | 4.65697i | −0.140920 | + | 0.188247i | ||||
\(613\) | 30.5600 | + | 2.18570i | 1.23431 | + | 0.0882794i | 0.673198 | − | 0.739462i | \(-0.264920\pi\) |
0.561109 | + | 0.827742i | \(0.310375\pi\) | |||||||
\(614\) | −6.47328 | + | 2.95625i | −0.261240 | + | 0.119305i | ||||
\(615\) | 2.69536 | + | 7.94393i | 0.108687 | + | 0.320330i | ||||
\(616\) | 4.32170 | − | 30.0581i | 0.174126 | − | 1.21107i | ||||
\(617\) | 7.21410 | + | 33.1627i | 0.290429 | + | 1.33508i | 0.858802 | + | 0.512308i | \(0.171209\pi\) |
−0.568373 | + | 0.822771i | \(0.692427\pi\) | |||||||
\(618\) | 0.536793 | + | 7.50534i | 0.0215930 | + | 0.301909i | ||||
\(619\) | −5.50073 | − | 1.61516i | −0.221093 | − | 0.0649188i | 0.169310 | − | 0.985563i | \(-0.445846\pi\) |
−0.390403 | + | 0.920644i | \(0.627664\pi\) | |||||||
\(620\) | 13.0632 | − | 7.85373i | 0.524631 | − | 0.315413i | ||||
\(621\) | −3.82611 | + | 2.89152i | −0.153537 | + | 0.116033i | ||||
\(622\) | −7.28382 | + | 7.28382i | −0.292055 | + | 0.292055i | ||||
\(623\) | 0.618938 | + | 1.13350i | 0.0247972 | + | 0.0454127i | ||||
\(624\) | 1.99285 | + | 1.72681i | 0.0797778 | + | 0.0691279i | ||||
\(625\) | −0.580918 | − | 24.9932i | −0.0232367 | − | 0.999730i | ||||
\(626\) | 7.95303 | + | 1.14347i | 0.317867 | + | 0.0457024i | ||||
\(627\) | 3.70657 | − | 17.0388i | 0.148026 | − | 0.680465i | ||||
\(628\) | 2.22511 | + | 0.829923i | 0.0887916 | + | 0.0331176i | ||||
\(629\) | −41.9562 | + | 36.3552i | −1.67290 | + | 1.44958i | ||||
\(630\) | −6.49659 | − | 7.96660i | −0.258830 | − | 0.317397i | ||||
\(631\) | 40.9219 | + | 18.6884i | 1.62908 | + | 0.743974i | 0.999458 | − | 0.0329310i | \(-0.0104842\pi\) |
0.629618 | + | 0.776905i | \(0.283211\pi\) | |||||||
\(632\) | 0.126729 | + | 0.0691993i | 0.00504101 | + | 0.00275260i | ||||
\(633\) | 4.01007 | + | 2.18967i | 0.159386 | + | 0.0870314i | ||||
\(634\) | 27.4499 | + | 12.5360i | 1.09018 | + | 0.497867i | ||||
\(635\) | −0.318801 | + | 3.13663i | −0.0126512 | + | 0.124473i | ||||
\(636\) | 2.68517 | − | 2.32671i | 0.106474 | − | 0.0922601i | ||||
\(637\) | 34.9215 | + | 13.0250i | 1.38364 | + | 0.516071i | ||||
\(638\) | 4.19346 | − | 19.2770i | 0.166021 | − | 0.763185i | ||||
\(639\) | 5.90557 | + | 0.849092i | 0.233621 | + | 0.0335896i | ||||
\(640\) | 1.62769 | − | 1.53318i | 0.0643399 | − | 0.0606042i | ||||
\(641\) | 19.6128 | + | 16.9946i | 0.774660 | + | 0.671247i | 0.949646 | − | 0.313324i | \(-0.101443\pi\) |
−0.174986 | + | 0.984571i | \(0.555988\pi\) | |||||||
\(642\) | −1.29845 | − | 2.37794i | −0.0512458 | − | 0.0938497i | ||||
\(643\) | −14.8531 | + | 14.8531i | −0.585749 | + | 0.585749i | −0.936477 | − | 0.350728i | \(-0.885934\pi\) |
0.350728 | + | 0.936477i | \(0.385934\pi\) | |||||||
\(644\) | −19.3986 | − | 10.4779i | −0.764413 | − | 0.412886i | ||||
\(645\) | −10.7854 | − | 17.9396i | −0.424676 | − | 0.706370i | ||||
\(646\) | −14.7344 | − | 4.32641i | −0.579717 | − | 0.170220i | ||||
\(647\) | −2.22405 | − | 31.0963i | −0.0874363 | − | 1.22252i | −0.831926 | − | 0.554886i | \(-0.812762\pi\) |
0.744490 | − | 0.667634i | \(-0.232693\pi\) | |||||||
\(648\) | 0.212565 | + | 0.977147i | 0.00835035 | + | 0.0383860i | ||||
\(649\) | −6.42586 | + | 44.6928i | −0.252237 | + | 1.75435i | ||||
\(650\) | −1.09332 | − | 13.1392i | −0.0428835 | − | 0.515361i | ||||
\(651\) | −28.5054 | + | 13.0180i | −1.11722 | + | 0.510215i | ||||
\(652\) | −10.5216 | − | 0.752522i | −0.412059 | − | 0.0294711i | ||||
\(653\) | 12.1487 | − | 16.2287i | 0.475414 | − | 0.635079i | −0.497164 | − | 0.867657i | \(-0.665625\pi\) |
0.972578 | + | 0.232578i | \(0.0747160\pi\) | |||||||
\(654\) | −6.35651 | + | 13.9188i | −0.248559 | + | 0.544269i | ||||
\(655\) | −8.55150 | − | 7.86948i | −0.334135 | − | 0.307486i | ||||
\(656\) | 3.59959 | − | 1.05694i | 0.140540 | − | 0.0412664i | ||||
\(657\) | 3.54914 | + | 9.51562i | 0.138465 | + | 0.371240i | ||||
\(658\) | 2.24665 | + | 1.68182i | 0.0875834 | + | 0.0655641i | ||||
\(659\) | 16.8572 | + | 19.4543i | 0.656664 | + | 0.757831i | 0.982228 | − | 0.187689i | \(-0.0600997\pi\) |
−0.325564 | + | 0.945520i | \(0.605554\pi\) | |||||||
\(660\) | 14.5203 | − | 2.70694i | 0.565201 | − | 0.105368i | ||||
\(661\) | 0.118718 | + | 0.184729i | 0.00461760 | + | 0.00718512i | 0.843555 | − | 0.537043i | \(-0.180459\pi\) |
−0.838937 | + | 0.544228i | \(0.816822\pi\) | |||||||
\(662\) | −5.94307 | − | 7.93902i | −0.230984 | − | 0.308559i | ||||
\(663\) | 14.9891 | − | 3.26068i | 0.582129 | − | 0.126634i | ||||
\(664\) | −0.754651 | + | 0.870914i | −0.0292862 | + | 0.0337980i | ||||
\(665\) | 13.7111 | − | 23.4177i | 0.531692 | − | 0.908101i | ||||
\(666\) | 9.54330i | 0.369795i | ||||||||
\(667\) | −12.0845 | − | 7.68858i | −0.467914 | − | 0.297703i | ||||
\(668\) | −1.93956 | − | 1.93956i | −0.0750440 | − | 0.0750440i | ||||
\(669\) | −2.23027 | + | 7.59560i | −0.0862272 | + | 0.293663i | ||||
\(670\) | −15.6494 | − | 2.72968i | −0.604589 | − | 0.105457i | ||||
\(671\) | 64.6867 | + | 41.5716i | 2.49720 | + | 1.60486i | ||||
\(672\) | −3.68027 | + | 2.75501i | −0.141969 | + | 0.106277i | ||||
\(673\) | 5.48956 | + | 1.19418i | 0.211607 | + | 0.0460322i | 0.317119 | − | 0.948386i | \(-0.397285\pi\) |
−0.105512 | + | 0.994418i | \(0.533648\pi\) | |||||||
\(674\) | 0.0809564 | + | 0.177270i | 0.00311832 | + | 0.00682817i | ||||
\(675\) | 2.65415 | − | 4.23739i | 0.102158 | − | 0.163097i | ||||
\(676\) | 0.860530 | + | 5.98511i | 0.0330973 | + | 0.230197i | ||||
\(677\) | 32.2533 | − | 12.0299i | 1.23959 | − | 0.462345i | 0.357720 | − | 0.933829i | \(-0.383554\pi\) |
0.881875 | + | 0.471484i | \(0.156281\pi\) | |||||||
\(678\) | 0.785006 | − | 1.43763i | 0.0301480 | − | 0.0552119i | ||||
\(679\) | 11.2627 | + | 38.3572i | 0.432223 | + | 1.47202i | ||||
\(680\) | −1.46559 | − | 12.9250i | −0.0562027 | − | 0.495651i | ||||
\(681\) | −4.62310 | + | 0.664702i | −0.177158 | + | 0.0254714i | ||||
\(682\) | 3.21220 | − | 44.9125i | 0.123002 | − | 1.71979i | ||||
\(683\) | −1.39662 | + | 3.74449i | −0.0534403 | + | 0.143279i | −0.960927 | − | 0.276802i | \(-0.910725\pi\) |
0.907487 | + | 0.420081i | \(0.137998\pi\) | |||||||
\(684\) | −2.22074 | + | 1.42718i | −0.0849122 | + | 0.0545698i | ||||
\(685\) | 23.0373 | + | 9.38592i | 0.880209 | + | 0.358618i | ||||
\(686\) | −17.7323 | + | 27.5921i | −0.677024 | + | 1.05347i | ||||
\(687\) | 18.2102 | − | 1.30242i | 0.694764 | − | 0.0496905i | ||||
\(688\) | −8.21607 | + | 4.48631i | −0.313235 | + | 0.171039i | ||||
\(689\) | −9.36894 | −0.356928 | ||||||||
\(690\) | 1.79449 | − | 10.5726i | 0.0683151 | − | 0.402492i | ||||
\(691\) | −24.5812 | −0.935114 | −0.467557 | − | 0.883963i | \(-0.654866\pi\) | ||||
−0.467557 | + | 0.883963i | \(0.654866\pi\) | |||||||
\(692\) | 14.7436 | − | 8.05064i | 0.560469 | − | 0.306039i | ||||
\(693\) | −30.2898 | + | 2.16637i | −1.15061 | + | 0.0822936i | ||||
\(694\) | 12.6028 | − | 19.6104i | 0.478396 | − | 0.744399i | ||||
\(695\) | −3.19513 | − | 7.58871i | −0.121198 | − | 0.287856i | ||||
\(696\) | −2.51246 | + | 1.61466i | −0.0952344 | + | 0.0612034i | ||||
\(697\) | 7.62665 | − | 20.4478i | 0.288880 | − | 0.774517i | ||||
\(698\) | 1.27735 | − | 17.8596i | 0.0483483 | − | 0.675997i | ||||
\(699\) | 11.2491 | − | 1.61737i | 0.425479 | − | 0.0611746i | ||||
\(700\) | 22.7886 | + | 3.00668i | 0.861329 | + | 0.113642i | ||||
\(701\) | −2.69099 | − | 9.16466i | −0.101637 | − | 0.346145i | 0.892936 | − | 0.450184i | \(-0.148641\pi\) |
−0.994573 | + | 0.104039i | \(0.966823\pi\) | |||||||
\(702\) | 1.26374 | − | 2.31437i | 0.0476968 | − | 0.0873502i | ||||
\(703\) | −23.6040 | + | 8.80385i | −0.890243 | + | 0.332043i | ||||
\(704\) | −0.940067 | − | 6.53831i | −0.0354301 | − | 0.246422i | ||||
\(705\) | −0.423543 | + | 1.29765i | −0.0159515 | + | 0.0488725i | ||||
\(706\) | −8.89129 | − | 19.4692i | −0.334628 | − | 0.732733i | ||||
\(707\) | −0.947586 | − | 0.206135i | −0.0356376 | − | 0.00775249i | ||||
\(708\) | 5.47213 | − | 4.09638i | 0.205655 | − | 0.153952i | ||||
\(709\) | 12.1850 | + | 7.83080i | 0.457616 | + | 0.294092i | 0.749068 | − | 0.662494i | \(-0.230502\pi\) |
−0.291451 | + | 0.956586i | \(0.594138\pi\) | |||||||
\(710\) | −10.9142 | + | 7.67224i | −0.409603 | + | 0.287934i | ||||
\(711\) | 0.0406797 | − | 0.138542i | 0.00152561 | − | 0.00519574i | ||||
\(712\) | 0.198644 | + | 0.198644i | 0.00744449 | + | 0.00744449i | ||||
\(713\) | −29.7986 | − | 13.4446i | −1.11596 | − | 0.503504i | ||||
\(714\) | 26.7433i | 1.00084i | ||||||||
\(715\) | −33.6111 | − | 19.6793i | −1.25699 | − | 0.735964i | ||||
\(716\) | 15.9520 | − | 18.4096i | 0.596156 | − | 0.688000i | ||||
\(717\) | −26.4826 | + | 5.76094i | −0.989011 | + | 0.215146i | ||||
\(718\) | −6.49203 | − | 8.67233i | −0.242280 | − | 0.323649i | ||||
\(719\) | 15.0784 | + | 23.4625i | 0.562331 | + | 0.875004i | 0.999705 | − | 0.0242754i | \(-0.00772785\pi\) |
−0.437374 | + | 0.899280i | \(0.644091\pi\) | |||||||
\(720\) | −1.84413 | − | 1.26459i | −0.0687267 | − | 0.0471284i | ||||
\(721\) | 22.6529 | + | 26.1428i | 0.843637 | + | 0.973608i | ||||
\(722\) | 9.63167 | + | 7.21018i | 0.358454 | + | 0.268335i | ||||
\(723\) | −3.57119 | − | 9.57472i | −0.132814 | − | 0.356088i | ||||
\(724\) | −7.25611 | + | 2.13059i | −0.269671 | + | 0.0791826i | ||||
\(725\) | 14.6274 | + | 3.00444i | 0.543250 | + | 0.111582i | ||||
\(726\) | 13.5563 | − | 29.6842i | 0.503123 | − | 1.10169i | ||||
\(727\) | 14.8360 | − | 19.8186i | 0.550236 | − | 0.735030i | −0.436078 | − | 0.899909i | \(-0.643633\pi\) |
0.986314 | + | 0.164880i | \(0.0527236\pi\) | |||||||
\(728\) | 12.0916 | + | 0.864810i | 0.448145 | + | 0.0320520i | ||||
\(729\) | 0.909632 | − | 0.415415i | 0.0336901 | − | 0.0153857i | ||||
\(730\) | −20.3660 | − | 10.0470i | −0.753781 | − | 0.371855i | ||||
\(731\) | −7.74993 | + | 53.9020i | −0.286642 | + | 1.99364i | ||||
\(732\) | −2.47441 | − | 11.3747i | −0.0914569 | − | 0.420421i | ||||
\(733\) | −3.15722 | − | 44.1436i | −0.116614 | − | 1.63048i | −0.633018 | − | 0.774137i | \(-0.718184\pi\) |
0.516403 | − | 0.856346i | \(-0.327271\pi\) | |||||||
\(734\) | 24.1042 | + | 7.07763i | 0.889702 | + | 0.261240i | ||||
\(735\) | −30.6688 | − | 7.63823i | −1.13123 | − | 0.281740i | ||||
\(736\) | −4.69083 | − | 0.998039i | −0.172906 | − | 0.0367882i | ||||
\(737\) | −33.1829 | + | 33.1829i | −1.22231 | + | 1.22231i | ||||
\(738\) | −1.79793 | − | 3.29266i | −0.0661827 | − | 0.121205i | ||||
\(739\) | −4.98217 | − | 4.31708i | −0.183272 | − | 0.158806i | 0.558393 | − | 0.829577i | \(-0.311418\pi\) |
−0.741665 | + | 0.670770i | \(0.765964\pi\) | |||||||
\(740\) | −14.6316 | − | 15.5335i | −0.537868 | − | 0.571023i | ||||
\(741\) | 6.89009 | + | 0.990645i | 0.253114 | + | 0.0363923i | ||||
\(742\) | 3.47202 | − | 15.9606i | 0.127462 | − | 0.585932i | ||||
\(743\) | 25.0534 | + | 9.34444i | 0.919120 | + | 0.342814i | 0.764100 | − | 0.645097i | \(-0.223183\pi\) |
0.155020 | + | 0.987911i | \(0.450456\pi\) | |||||||
\(744\) | −5.15162 | + | 4.46391i | −0.188868 | + | 0.163655i | ||||
\(745\) | −0.0937329 | + | 0.0764372i | −0.00343411 | + | 0.00280044i | ||||
\(746\) | 4.19322 | + | 1.91498i | 0.153525 | + | 0.0701123i | ||||
\(747\) | 1.01142 | + | 0.552279i | 0.0370061 | + | 0.0202068i | ||||
\(748\) | −33.7259 | − | 18.4158i | −1.23314 | − | 0.673347i | ||||
\(749\) | −11.3299 | − | 5.17419i | −0.413986 | − | 0.189061i | ||||
\(750\) | 2.17656 | + | 10.9664i | 0.0794768 | + | 0.400437i | ||||
\(751\) | −28.4783 | + | 24.6766i | −1.03919 | + | 0.900462i | −0.995130 | − | 0.0985672i | \(-0.968574\pi\) |
−0.0440579 | + | 0.999029i | \(0.514029\pi\) | |||||||
\(752\) | 0.571968 | + | 0.213333i | 0.0208575 | + | 0.00777946i | ||||
\(753\) | 4.71391 | − | 21.6695i | 0.171785 | − | 0.789681i | ||||
\(754\) | 7.79516 | + | 1.12078i | 0.283883 | + | 0.0408162i | ||||
\(755\) | 0.749548 | − | 25.0692i | 0.0272788 | − | 0.912363i | ||||
\(756\) | 3.47435 | + | 3.01054i | 0.126361 | + | 0.109492i | ||||
\(757\) | 7.82301 | + | 14.3268i | 0.284332 | + | 0.520716i | 0.980339 | − | 0.197319i | \(-0.0632236\pi\) |
−0.696007 | + | 0.718035i | \(0.745042\pi\) | |||||||
\(758\) | 22.8303 | − | 22.8303i | 0.829234 | − | 0.829234i | ||||
\(759\) | −22.5024 | − | 22.2981i | −0.816787 | − | 0.809369i | ||||
\(760\) | 1.42654 | − | 5.72780i | 0.0517461 | − | 0.207769i | ||||
\(761\) | 10.8518 | + | 3.18637i | 0.393376 | + | 0.115506i | 0.472438 | − | 0.881364i | \(-0.343374\pi\) |
−0.0790614 | + | 0.996870i | \(0.525192\pi\) | |||||||
\(762\) | −0.100586 | − | 1.40638i | −0.00364385 | − | 0.0509477i | ||||
\(763\) | 14.9529 | + | 68.7372i | 0.541330 | + | 2.48846i | ||||
\(764\) | 0.349303 | − | 2.42945i | 0.0126373 | − | 0.0878945i | ||||
\(765\) | −12.3181 | + | 4.17950i | −0.445361 | + | 0.151110i | ||||
\(766\) | 1.20530 | − | 0.550443i | 0.0435493 | − | 0.0198883i | ||||
\(767\) | −17.9788 | − | 1.28587i | −0.649178 | − | 0.0464301i | ||||
\(768\) | −0.599278 | + | 0.800541i | −0.0216246 | + | 0.0288870i | ||||
\(769\) | 20.1807 | − | 44.1895i | 0.727733 | − | 1.59351i | −0.0750054 | − | 0.997183i | \(-0.523897\pi\) |
0.802739 | − | 0.596331i | \(-0.203375\pi\) | |||||||
\(770\) | 45.9809 | − | 49.9659i | 1.65704 | − | 1.80064i | ||||
\(771\) | −16.0293 | + | 4.70661i | −0.577279 | + | 0.169505i | ||||
\(772\) | 7.47890 | + | 20.0517i | 0.269171 | + | 0.721676i | ||||
\(773\) | −18.0536 | − | 13.5147i | −0.649343 | − | 0.486092i | 0.223108 | − | 0.974794i | \(-0.428380\pi\) |
−0.872451 | + | 0.488702i | \(0.837471\pi\) | |||||||
\(774\) | 6.13024 | + | 7.07467i | 0.220347 | + | 0.254294i | ||||
\(775\) | 34.0220 | + | 2.03628i | 1.22211 | + | 0.0731452i | ||||
\(776\) | 4.70131 | + | 7.31538i | 0.168767 | + | 0.262607i | ||||
\(777\) | 26.2919 | + | 35.1219i | 0.943217 | + | 1.25999i | ||||
\(778\) | 25.2979 | − | 5.50323i | 0.906975 | − | 0.197300i | ||||
\(779\) | 6.48533 | − | 7.48446i | 0.232361 | − | 0.268159i | ||||
\(780\) | 1.49137 | + | 5.70461i | 0.0533995 | + | 0.204258i | ||||
\(781\) | 39.4106i | 1.41022i | ||||||||
\(782\) | −21.0008 | + | 18.3657i | −0.750989 | + | 0.656757i | ||||
\(783\) | 2.11182 | + | 2.11182i | 0.0754702 | + | 0.0754702i | ||||
\(784\) | −3.98214 | + | 13.5619i | −0.142219 | + | 0.484354i | ||||
\(785\) | 3.05388 | + | 4.34434i | 0.108998 | + | 0.155056i | ||||
\(786\) | 4.37220 | + | 2.80984i | 0.155951 | + | 0.100224i | ||||
\(787\) | −34.6473 | + | 25.9366i | −1.23504 | + | 0.924541i | −0.998887 | − | 0.0471748i | \(-0.984978\pi\) |
−0.236155 | + | 0.971715i | \(0.575887\pi\) | |||||||
\(788\) | 7.42819 | + | 1.61590i | 0.264618 | + | 0.0575642i | ||||
\(789\) | 6.47067 | + | 14.1688i | 0.230362 | + | 0.504422i | ||||
\(790\) | 0.146196 | + | 0.287872i | 0.00520143 | + | 0.0102420i | ||||
\(791\) | −1.07166 | − | 7.45357i | −0.0381039 | − | 0.265019i | ||||
\(792\) | −6.18906 | + | 2.30840i | −0.219919 | + | 0.0820255i | ||||
\(793\) | −14.7108 | + | 26.9409i | −0.522397 | + | 0.956699i | ||||
\(794\) | −6.11924 | − | 20.8402i | −0.217164 | − | 0.739592i | ||||
\(795\) | 7.89413 | − | 0.895130i | 0.279976 | − | 0.0317470i | ||||
\(796\) | −17.1336 | + | 2.46344i | −0.607285 | + | 0.0873144i | ||||
\(797\) | −0.133443 | + | 1.86578i | −0.00472680 | + | 0.0660892i | −0.999268 | − | 0.0382554i | \(-0.987820\pi\) |
0.994541 | + | 0.104345i | \(0.0332745\pi\) | |||||||
\(798\) | −4.24101 | + | 11.3706i | −0.150130 | + | 0.402515i | ||||
\(799\) | 2.98746 | − | 1.91992i | 0.105689 | − | 0.0679220i | ||||
\(800\) | 4.94051 | − | 0.769031i | 0.174673 | − | 0.0271893i | ||||
\(801\) | 0.151879 | − | 0.236329i | 0.00536639 | − | 0.00835027i | ||||
\(802\) | 37.4565 | − | 2.67894i | 1.32264 | − | 0.0945968i | ||||
\(803\) | −58.8797 | + | 32.1507i | −2.07782 | + | 1.13457i | ||||
\(804\) | 7.10429 | 0.250549 | ||||||||
\(805\) | −22.5234 | − | 43.8538i | −0.793847 | − | 1.54564i | ||||
\(806\) | 17.9748 | 0.633134 | ||||||||
\(807\) | −21.4882 | + | 11.7335i | −0.756421 | + | 0.413037i | ||||
\(808\) | −0.210404 | + | 0.0150484i | −0.00740200 | + | 0.000529402i | ||||
\(809\) | 10.3024 | − | 16.0309i | 0.362215 | − | 0.563617i | −0.611541 | − | 0.791213i | \(-0.709450\pi\) |
0.973756 | + | 0.227596i | \(0.0730864\pi\) | |||||||
\(810\) | −0.843690 | + | 2.07079i | −0.0296442 | + | 0.0727603i | ||||
\(811\) | 11.5553 | − | 7.42614i | 0.405761 | − | 0.260767i | −0.321803 | − | 0.946807i | \(-0.604289\pi\) |
0.727564 | + | 0.686040i | \(0.240652\pi\) | |||||||
\(812\) | −4.79811 | + | 12.8642i | −0.168381 | + | 0.451446i | ||||
\(813\) | −0.613052 | + | 8.57159i | −0.0215007 | + | 0.300619i | ||||
\(814\) | −62.3970 | + | 8.97134i | −2.18702 | + | 0.314445i | ||||
\(815\) | −18.4516 | − | 14.6933i | −0.646333 | − | 0.514683i | ||||
\(816\) | 1.63892 | + | 5.58163i | 0.0573735 | + | 0.195396i | ||||
\(817\) | −11.8430 | + | 21.6888i | −0.414333 | + | 0.758795i | ||||
\(818\) | 19.3349 | − | 7.21156i | 0.676030 | − | 0.252146i | ||||
\(819\) | −1.72521 | − | 11.9991i | −0.0602838 | − | 0.419283i | ||||
\(820\) | 7.97471 | + | 2.60287i | 0.278489 | + | 0.0908963i | ||||
\(821\) | −11.9737 | − | 26.2187i | −0.417884 | − | 0.915039i | −0.995140 | − | 0.0984751i | \(-0.968604\pi\) |
0.577255 | − | 0.816564i | \(-0.304124\pi\) | |||||||
\(822\) | −10.8706 | − | 2.36476i | −0.379156 | − | 0.0824804i | ||||
\(823\) | 10.7913 | − | 8.07829i | 0.376162 | − | 0.281591i | −0.394422 | − | 0.918929i | \(-0.629055\pi\) |
0.770585 | + | 0.637338i | \(0.219964\pi\) | |||||||
\(824\) | 6.33002 | + | 4.06806i | 0.220517 | + | 0.141718i | ||||
\(825\) | 30.2005 | + | 13.3702i | 1.05145 | + | 0.465491i | ||||
\(826\) | 8.85330 | − | 30.1516i | 0.308046 | − | 1.04911i | ||||
\(827\) | −7.93863 | − | 7.93863i | −0.276053 | − | 0.276053i | 0.555478 | − | 0.831531i | \(-0.312535\pi\) |
−0.831531 | + | 0.555478i | \(0.812535\pi\) | |||||||
\(828\) | 0.0218775 | + | 4.79578i | 0.000760296 | + | 0.166665i | ||||
\(829\) | 27.7712i | 0.964535i | 0.876024 | + | 0.482267i | \(0.160187\pi\) | ||||
−0.876024 | + | 0.482267i | \(0.839813\pi\) | |||||||
\(830\) | −2.49302 | + | 0.651756i | −0.0865341 | + | 0.0226228i | ||||
\(831\) | 7.09656 | − | 8.18986i | 0.246177 | − | 0.284103i | ||||
\(832\) | 2.57666 | − | 0.560517i | 0.0893295 | − | 0.0194324i | ||||
\(833\) | 49.2751 | + | 65.8238i | 1.70728 | + | 2.28066i | ||||
\(834\) | 1.99081 | + | 3.09776i | 0.0689362 | + | 0.107267i | ||||
\(835\) | −1.12406 | − | 6.02956i | −0.0388997 | − | 0.208662i | ||||
\(836\) | −11.4190 | − | 13.1783i | −0.394935 | − | 0.455779i | ||||
\(837\) | 5.45695 | + | 4.08502i | 0.188620 | + | 0.141199i | ||||
\(838\) | −0.339425 | − | 0.910033i | −0.0117252 | − | 0.0314366i | ||||
\(839\) | −12.9647 | + | 3.80678i | −0.447591 | + | 0.131425i | −0.497758 | − | 0.867316i | \(-0.665843\pi\) |
0.0501662 | + | 0.998741i | \(0.484025\pi\) | |||||||
\(840\) | −10.2709 | + | 0.426584i | −0.354378 | + | 0.0147185i | ||||
\(841\) | 8.34172 | − | 18.2658i | 0.287645 | − | 0.629856i | ||||
\(842\) | −20.2386 | + | 27.0356i | −0.697467 | + | 0.931707i | ||||
\(843\) | −26.1886 | − | 1.87304i | −0.901982 | − | 0.0645110i | ||||
\(844\) | 4.15606 | − | 1.89801i | 0.143058 | − | 0.0653322i | ||||
\(845\) | −5.98177 | + | 12.1255i | −0.205779 | + | 0.417132i | ||||
\(846\) | 0.0868772 | − | 0.604244i | 0.00298690 | − | 0.0207743i | ||||
\(847\) | −31.8895 | − | 146.594i | −1.09574 | − | 5.03702i | ||||
\(848\) | −0.253467 | − | 3.54394i | −0.00870410 | − | 0.121699i | ||||
\(849\) | −4.65218 | − | 1.36600i | −0.159663 | − | 0.0468811i | ||||
\(850\) | 13.6421 | − | 25.6887i | 0.467919 | − | 0.881117i | ||||
\(851\) | −9.52458 | + | 44.7660i | −0.326499 | + | 1.53456i | ||||
\(852\) | 4.21881 | − | 4.21881i | 0.144534 | − | 0.144534i | ||||
\(853\) | −11.7856 | − | 21.5837i | −0.403531 | − | 0.739013i | 0.594341 | − | 0.804213i | \(-0.297413\pi\) |
−0.997872 | + | 0.0652007i | \(0.979231\pi\) | |||||||
\(854\) | −40.4439 | − | 35.0449i | −1.38396 | − | 1.19921i | ||||
\(855\) | −5.90014 | − | 0.176409i | −0.201781 | − | 0.00603306i | ||||
\(856\) | −2.68177 | − | 0.385581i | −0.0916611 | − | 0.0131789i | ||||
\(857\) | −2.83329 | + | 13.0244i | −0.0967835 | + | 0.444906i | 0.903097 | + | 0.429437i | \(0.141288\pi\) |
−0.999880 | + | 0.0154695i | \(0.995076\pi\) | |||||||
\(858\) | 16.3201 | + | 6.08707i | 0.557158 | + | 0.207809i | ||||
\(859\) | −39.9381 | + | 34.6066i | −1.36267 | + | 1.18076i | −0.397976 | + | 0.917396i | \(0.630287\pi\) |
−0.964696 | + | 0.263366i | \(0.915167\pi\) | |||||||
\(860\) | −20.8248 | − | 2.11659i | −0.710121 | − | 0.0721752i | ||||
\(861\) | −15.6882 | − | 7.16456i | −0.534652 | − | 0.244167i | ||||
\(862\) | −9.98139 | − | 5.45025i | −0.339968 | − | 0.185636i | ||||
\(863\) | 4.00372 | + | 2.18620i | 0.136288 | + | 0.0744190i | 0.545946 | − | 0.837820i | \(-0.316170\pi\) |
−0.409658 | + | 0.912239i | \(0.634352\pi\) | |||||||
\(864\) | 0.909632 | + | 0.415415i | 0.0309463 | + | 0.0141327i | ||||
\(865\) | 37.3699 | + | 3.79820i | 1.27062 | + | 0.129143i | ||||
\(866\) | −7.79445 | + | 6.75393i | −0.264866 | + | 0.229508i | ||||
\(867\) | 15.7789 | + | 5.88522i | 0.535879 | + | 0.199872i | ||||
\(868\) | −6.66123 | + | 30.6212i | −0.226097 | + | 1.03935i | ||||
\(869\) | 0.944074 | + | 0.135737i | 0.0320255 | + | 0.00460457i | ||||
\(870\) | −6.67517 | − | 0.199582i | −0.226310 | − | 0.00676646i | ||||
\(871\) | −14.1578 | − | 12.2678i | −0.479718 | − | 0.415678i | ||||
\(872\) | 7.33327 | + | 13.4299i | 0.248336 | + | 0.454793i | ||||
\(873\) | 6.14886 | − | 6.14886i | 0.208108 | − | 0.208108i | ||||
\(874\) | −11.8415 | + | 4.47830i | −0.400545 | + | 0.151481i | ||||
\(875\) | 38.2230 | + | 34.3629i | 1.29217 | + | 1.16168i | ||||
\(876\) | 9.74457 | + | 2.86126i | 0.329239 | + | 0.0966732i | ||||
\(877\) | 3.79708 | + | 53.0901i | 0.128218 | + | 1.79272i | 0.501654 | + | 0.865068i | \(0.332725\pi\) |
−0.373436 | + | 0.927656i | \(0.621820\pi\) | |||||||
\(878\) | 0.750088 | + | 3.44810i | 0.0253142 | + | 0.116368i | ||||
\(879\) | 3.20317 | − | 22.2785i | 0.108040 | − | 0.751436i | ||||
\(880\) | 6.53466 | − | 13.2463i | 0.220283 | − | 0.446533i | ||||
\(881\) | −18.5997 | + | 8.49420i | −0.626640 | + | 0.286177i | −0.703314 | − | 0.710879i | \(-0.748297\pi\) |
0.0766740 | + | 0.997056i | \(0.475570\pi\) | |||||||
\(882\) | 14.0985 | + | 1.00834i | 0.474720 | + | 0.0339526i | ||||
\(883\) | 13.5457 | − | 18.0949i | 0.455848 | − | 0.608941i | −0.512457 | − | 0.858713i | \(-0.671265\pi\) |
0.968305 | + | 0.249772i | \(0.0803556\pi\) | |||||||
\(884\) | 6.37233 | − | 13.9535i | 0.214325 | − | 0.469306i | ||||
\(885\) | 15.2716 | − | 0.634281i | 0.513348 | − | 0.0213211i | ||||
\(886\) | −22.2869 | + | 6.54401i | −0.748742 | + | 0.219850i | ||||
\(887\) | 2.25284 | + | 6.04009i | 0.0756429 | + | 0.202806i | 0.969268 | − | 0.246008i | \(-0.0791190\pi\) |
−0.893625 | + | 0.448815i | \(0.851846\pi\) | |||||||
\(888\) | 7.63980 | + | 5.71908i | 0.256375 | + | 0.191920i | ||||
\(889\) | −4.24478 | − | 4.89873i | −0.142365 | − | 0.164298i | ||||
\(890\) | 0.115123 | + | 0.617528i | 0.00385892 | + | 0.0206996i | ||||
\(891\) | 3.57123 | + | 5.55694i | 0.119641 | + | 0.186164i | ||||
\(892\) | 4.74404 | + | 6.33730i | 0.158842 | + | 0.212188i | ||||
\(893\) | 1.57466 | − | 0.342546i | 0.0526940 | − | 0.0114629i | ||||
\(894\) | 0.0354212 | − | 0.0408783i | 0.00118466 | − | 0.00136717i | ||||
\(895\) | 52.6983 | − | 13.7770i | 1.76151 | − | 0.460515i | ||||
\(896\) | 4.59722i | 0.153582i | ||||||||
\(897\) | 8.23783 | − | 9.59505i | 0.275053 | − | 0.320369i | ||||
\(898\) | 4.39079 | + | 4.39079i | 0.146523 | + | 0.146523i | ||||
\(899\) | −5.73555 | + | 19.5335i | −0.191291 | + | 0.651478i | ||||
\(900\) | −1.80164 | − | 4.66413i | −0.0600545 | − | 0.155471i | ||||
\(901\) | −17.3876 | − | 11.1743i | −0.579266 | − | 0.372271i | ||||
\(902\) | 19.8383 | − | 14.8507i | 0.660542 | − | 0.494476i | ||||
\(903\) | 42.0517 | + | 9.14779i | 1.39939 | + | 0.304419i | ||||
\(904\) | −0.680447 | − | 1.48997i | −0.0226313 | − | 0.0495557i | ||||
\(905\) | −16.0755 | − | 5.24691i | −0.534369 | − | 0.174413i | ||||
\(906\) | 1.59625 | + | 11.1021i | 0.0530318 | + | 0.368844i | ||||
\(907\) | 1.08936 | − | 0.406311i | 0.0361717 | − | 0.0134913i | −0.331313 | − | 0.943521i | \(-0.607492\pi\) |
0.367485 | + | 0.930029i | \(0.380219\pi\) | |||||||
\(908\) | −2.23840 | + | 4.09932i | −0.0742839 | + | 0.136041i | ||||
\(909\) | 0.0594292 | + | 0.202397i | 0.00197114 | + | 0.00671309i | ||||
\(910\) | 21.2049 | + | 16.8857i | 0.702935 | + | 0.559757i | ||||
\(911\) | 12.3307 | − | 1.77289i | 0.408534 | − | 0.0587384i | 0.0650157 | − | 0.997884i | \(-0.479290\pi\) |
0.343519 | + | 0.939146i | \(0.388381\pi\) | |||||||
\(912\) | −0.188321 | + | 2.63308i | −0.00623594 | + | 0.0871898i | ||||
\(913\) | −2.66017 | + | 7.13218i | −0.0880386 | + | 0.236041i | ||||
\(914\) | −24.0592 | + | 15.4619i | −0.795809 | + | 0.511435i | ||||
\(915\) | 9.82115 | − | 24.1055i | 0.324677 | − | 0.796904i | ||||
\(916\) | 9.87035 | − | 15.3586i | 0.326125 | − | 0.507461i | ||||
\(917\) | 23.8320 | − | 1.70450i | 0.787003 | − | 0.0562875i | ||||
\(918\) | 5.10570 | − | 2.78792i | 0.168513 | − | 0.0920152i | ||||
\(919\) | 5.11126 | 0.168605 | 0.0843025 | − | 0.996440i | \(-0.473134\pi\) | ||||
0.0843025 | + | 0.996440i | \(0.473134\pi\) | |||||||
\(920\) | −7.38840 | − | 7.77249i | −0.243588 | − | 0.256251i | ||||
\(921\) | 7.11638 | 0.234493 | ||||||||
\(922\) | −16.2694 | + | 8.88376i | −0.535804 | + | 0.292571i | ||||
\(923\) | −15.6925 | + | 1.12235i | −0.516527 | + | 0.0369427i | ||||
\(924\) | −16.4177 | + | 25.5465i | −0.540104 | + | 0.840418i | ||||
\(925\) | −7.33909 | − | 47.1487i | −0.241308 | − | 1.55024i | ||||
\(926\) | −26.9293 | + | 17.3064i | −0.884952 | + | 0.568724i | ||||
\(927\) | 2.62955 | − | 7.05009i | 0.0863657 | − | 0.231555i | ||||
\(928\) | −0.213059 | + | 2.97895i | −0.00699400 | + | 0.0977889i | ||||
\(929\) | 42.6479 | − | 6.13184i | 1.39923 | − | 0.201179i | 0.598942 | − | 0.800792i | \(-0.295588\pi\) |
0.800290 | + | 0.599613i | \(0.204679\pi\) | |||||||
\(930\) | −15.1453 | + | 1.71735i | −0.496633 | + | 0.0563141i | ||||
\(931\) | 10.5121 | + | 35.8008i | 0.344519 | + | 1.17332i | ||||
\(932\) | 5.44654 | − | 9.97460i | 0.178407 | − | 0.326729i | ||||
\(933\) | 9.65141 | − | 3.59979i | 0.315973 | − | 0.117852i | ||||
\(934\) | −3.88929 | − | 27.0506i | −0.127261 | − | 0.885123i | ||||
\(935\) | −38.9067 | − | 76.6105i | −1.27238 | − | 2.50543i | ||||
\(936\) | −1.09542 | − | 2.39863i | −0.0358048 | − | 0.0784015i | ||||
\(937\) | 54.2446 | + | 11.8002i | 1.77209 | + | 0.385495i | 0.975670 | − | 0.219245i | \(-0.0703595\pi\) |
0.796423 | + | 0.604740i | \(0.206723\pi\) | |||||||
\(938\) | 26.1457 | − | 19.5724i | 0.853687 | − | 0.639062i | ||||
\(939\) | −6.75932 | − | 4.34395i | −0.220582 | − | 0.141759i | ||||
\(940\) | 0.785006 | + | 1.11672i | 0.0256041 | + | 0.0364233i | ||||
\(941\) | 16.1989 | − | 55.1682i | 0.528068 | − | 1.79843i | −0.0706841 | − | 0.997499i | \(-0.522518\pi\) |
0.598752 | − | 0.800935i | \(-0.295664\pi\) | |||||||
\(942\) | −1.67927 | − | 1.67927i | −0.0547136 | − | 0.0547136i | ||||
\(943\) | −5.14758 | − | 17.2397i | −0.167628 | − | 0.561403i | ||||
\(944\) | − | 6.83553i | − | 0.222478i | ||||||
\(945\) | 2.60006 | + | 9.94545i | 0.0845800 | + | 0.323526i | ||||
\(946\) | −40.4935 | + | 46.7320i | −1.31656 | + | 1.51939i | ||||
\(947\) | −34.1360 | + | 7.42583i | −1.10927 | + | 0.241307i | −0.729640 | − | 0.683831i | \(-0.760312\pi\) |
−0.379630 | + | 0.925138i | \(0.623949\pi\) | |||||||
\(948\) | −0.0865304 | − | 0.115591i | −0.00281038 | − | 0.00375422i | ||||
\(949\) | −14.4786 | − | 22.5291i | −0.469995 | − | 0.731327i | ||||
\(950\) | 9.87404 | − | 8.75883i | 0.320356 | − | 0.284174i | ||||
\(951\) | −19.7617 | − | 22.8062i | −0.640817 | − | 0.739542i | ||||
\(952\) | 21.4091 | + | 16.0267i | 0.693874 | + | 0.519427i | ||||
\(953\) | 16.7951 | + | 45.0293i | 0.544046 | + | 1.45864i | 0.860211 | + | 0.509939i | \(0.170332\pi\) |
−0.316165 | + | 0.948704i | \(0.602395\pi\) | |||||||
\(954\) | −3.40907 | + | 1.00099i | −0.110373 | + | 0.0324083i | ||||
\(955\) | 3.71642 | − | 4.03850i | 0.120260 | − | 0.130683i | ||||
\(956\) | −11.2586 | + | 24.6528i | −0.364128 | + | 0.797329i | ||||
\(957\) | −11.8225 | + | 15.7930i | −0.382166 | + | 0.510514i | ||||
\(958\) | −1.93236 | − | 0.138205i | −0.0624317 | − | 0.00446521i | ||||
\(959\) | −46.5217 | + | 21.2457i | −1.50226 | + | 0.686061i | ||||
\(960\) | −2.11750 | + | 0.718463i | −0.0683420 | + | 0.0231883i | ||||
\(961\) | −2.20100 | + | 15.3083i | −0.0709999 | + | 0.493815i | ||||
\(962\) | −5.34918 | − | 24.5898i | −0.172465 | − | 0.792807i | ||||
\(963\) | 0.193283 | + | 2.70245i | 0.00622845 | + | 0.0870851i | ||||
\(964\) | −9.80509 | − | 2.87903i | −0.315801 | − | 0.0927275i | ||||
\(965\) | −11.5651 | + | 46.4357i | −0.372293 | + | 1.49482i | ||||
\(966\) | 13.2930 | + | 17.5895i | 0.427694 | + | 0.565932i | ||||
\(967\) | 24.1752 | − | 24.1752i | 0.777422 | − | 0.777422i | −0.201969 | − | 0.979392i | \(-0.564734\pi\) |
0.979392 | + | 0.201969i | \(0.0647342\pi\) | |||||||
\(968\) | −15.6394 | − | 28.6415i | −0.502671 | − | 0.920573i | ||||
\(969\) | 11.6056 | + | 10.0563i | 0.372827 | + | 0.323056i | ||||
\(970\) | −0.581111 | + | 19.4357i | −0.0186584 | + | 0.624044i | ||||
\(971\) | 44.8937 | + | 6.45473i | 1.44071 | + | 0.207142i | 0.817957 | − | 0.575279i | \(-0.195107\pi\) |
0.622749 | + | 0.782422i | \(0.286016\pi\) | |||||||
\(972\) | 0.212565 | − | 0.977147i | 0.00681803 | − | 0.0313420i | ||||
\(973\) | 15.8611 | + | 5.91589i | 0.508484 | + | 0.189655i | ||||
\(974\) | −1.44000 | + | 1.24777i | −0.0461406 | + | 0.0399811i | ||||
\(975\) | −4.46370 | + | 12.4060i | −0.142953 | + | 0.397310i | ||||
\(976\) | −10.5888 | − | 4.83573i | −0.338938 | − | 0.154788i | ||||
\(977\) | 11.1775 | + | 6.10340i | 0.357601 | + | 0.195265i | 0.647999 | − | 0.761641i | \(-0.275606\pi\) |
−0.290398 | + | 0.956906i | \(0.593788\pi\) | |||||||
\(978\) | 9.25821 | + | 5.05537i | 0.296045 | + | 0.161653i | ||||
\(979\) | 1.68797 | + | 0.770869i | 0.0539477 | + | 0.0246371i | ||||
\(980\) | −24.4938 | + | 19.9742i | −0.782427 | + | 0.638052i | ||||
\(981\) | 11.5642 | − | 10.0204i | 0.369216 | − | 0.319927i | ||||
\(982\) | −17.9950 | − | 6.71180i | −0.574244 | − | 0.214182i | ||||
\(983\) | −8.16030 | + | 37.5123i | −0.260273 | + | 1.19646i | 0.642482 | + | 0.766301i | \(0.277905\pi\) |
−0.902755 | + | 0.430155i | \(0.858459\pi\) | |||||||
\(984\) | −3.71337 | − | 0.533902i | −0.118378 | − | 0.0170202i | ||||
\(985\) | 11.6551 | + | 12.3735i | 0.371362 | + | 0.394253i | ||||
\(986\) | 13.1301 | + | 11.3773i | 0.418149 | + | 0.362328i | ||||
\(987\) | −1.34497 | − | 2.46313i | −0.0428109 | − | 0.0784022i | ||||
\(988\) | 4.92213 | − | 4.92213i | 0.156594 | − | 0.156594i | ||||
\(989\) | 21.6951 | + | 39.3043i | 0.689865 | + | 1.24980i | ||||
\(990\) | −14.3326 | − | 3.56962i | −0.455521 | − | 0.113450i | ||||
\(991\) | −23.5757 | − | 6.92245i | −0.748906 | − | 0.219899i | −0.115061 | − | 0.993358i | \(-0.536706\pi\) |
−0.633846 | + | 0.773460i | \(0.718525\pi\) | |||||||
\(992\) | 0.486289 | + | 6.79921i | 0.0154397 | + | 0.215875i | ||||
\(993\) | 2.10802 | + | 9.69042i | 0.0668961 | + | 0.307516i | ||||
\(994\) | 3.90347 | − | 27.1492i | 0.123810 | − | 0.861121i | ||||
\(995\) | −34.7119 | − | 17.1241i | −1.10044 | − | 0.542869i | ||||
\(996\) | 1.04825 | − | 0.478718i | 0.0332149 | − | 0.0151688i | ||||
\(997\) | 18.7343 | + | 1.33990i | 0.593321 | + | 0.0424352i | 0.364772 | − | 0.931097i | \(-0.381147\pi\) |
0.228550 | + | 0.973532i | \(0.426602\pi\) | |||||||
\(998\) | 14.7770 | − | 19.7398i | 0.467759 | − | 0.624852i | ||||
\(999\) | 3.96443 | − | 8.68089i | 0.125429 | − | 0.274651i |
(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 | 690.2.w.b.373.5 | yes | 240 | |
5.2 | odd | 4 | inner | 690.2.w.b.97.5 | yes | 240 | |
23.14 | odd | 22 | inner | 690.2.w.b.313.5 | yes | 240 | |
115.37 | even | 44 | inner | 690.2.w.b.37.5 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.37.5 | ✓ | 240 | 115.37 | even | 44 | inner | |
690.2.w.b.97.5 | yes | 240 | 5.2 | odd | 4 | inner | |
690.2.w.b.313.5 | yes | 240 | 23.14 | odd | 22 | inner | |
690.2.w.b.373.5 | yes | 240 | 1.1 | even | 1 | trivial |