Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(67,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 67.12 | ||
Character | \(\chi\) | \(=\) | 378.67 |
Dual form | 378.2.v.b.79.12 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | 1.72085 | + | 0.196628i | 0.993535 | + | 0.113523i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.683660 | − | 3.87723i | 0.305742 | − | 1.73395i | −0.314248 | − | 0.949341i | \(-0.601752\pi\) |
0.619990 | − | 0.784610i | \(-0.287137\pi\) | |||||||
\(6\) | 1.44464 | − | 0.955517i | 0.589772 | − | 0.390088i | ||||
\(7\) | −1.15546 | + | 2.38011i | −0.436724 | + | 0.899596i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 2.92267 | + | 0.676737i | 0.974225 | + | 0.225579i | ||||
\(10\) | −1.96852 | − | 3.40958i | −0.622501 | − | 1.07820i | ||||
\(11\) | 0.286164 | + | 1.62291i | 0.0862815 | + | 0.489327i | 0.997073 | + | 0.0764596i | \(0.0243616\pi\) |
−0.910791 | + | 0.412867i | \(0.864527\pi\) | |||||||
\(12\) | 0.492464 | − | 1.66057i | 0.142162 | − | 0.479364i | ||||
\(13\) | −0.258932 | + | 1.46848i | −0.0718149 | + | 0.407282i | 0.927616 | + | 0.373536i | \(0.121855\pi\) |
−0.999430 | + | 0.0337461i | \(0.989256\pi\) | |||||||
\(14\) | 0.644767 | + | 2.56598i | 0.172321 | + | 0.685788i | ||||
\(15\) | 1.93885 | − | 6.53772i | 0.500610 | − | 1.68803i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −3.00147 | − | 5.19869i | −0.727963 | − | 1.26087i | −0.957743 | − | 0.287626i | \(-0.907134\pi\) |
0.229780 | − | 0.973243i | \(-0.426199\pi\) | |||||||
\(18\) | 2.67390 | − | 1.36025i | 0.630244 | − | 0.320614i | ||||
\(19\) | −1.99659 | + | 3.45820i | −0.458050 | + | 0.793366i | −0.998858 | − | 0.0477802i | \(-0.984785\pi\) |
0.540808 | + | 0.841146i | \(0.318119\pi\) | |||||||
\(20\) | −3.69961 | − | 1.34655i | −0.827258 | − | 0.301097i | ||||
\(21\) | −2.45638 | + | 3.86862i | −0.536026 | + | 0.844202i | ||||
\(22\) | 1.26240 | + | 1.05928i | 0.269145 | + | 0.225840i | ||||
\(23\) | 2.26978 | + | 1.90457i | 0.473281 | + | 0.397130i | 0.847990 | − | 0.530012i | \(-0.177813\pi\) |
−0.374708 | + | 0.927143i | \(0.622257\pi\) | |||||||
\(24\) | −0.690142 | − | 1.58862i | −0.140875 | − | 0.324275i | ||||
\(25\) | −9.86707 | − | 3.59132i | −1.97341 | − | 0.718264i | ||||
\(26\) | 0.745566 | + | 1.29136i | 0.146217 | + | 0.253256i | ||||
\(27\) | 4.89643 | + | 1.73925i | 0.942318 | + | 0.334718i | ||||
\(28\) | 2.14330 | + | 1.55121i | 0.405046 | + | 0.293151i | ||||
\(29\) | 0.387255 | + | 2.19623i | 0.0719114 | + | 0.407830i | 0.999421 | + | 0.0340301i | \(0.0108342\pi\) |
−0.927509 | + | 0.373800i | \(0.878055\pi\) | |||||||
\(30\) | −2.71712 | − | 6.25446i | −0.496076 | − | 1.14190i | ||||
\(31\) | −0.174681 | + | 0.990665i | −0.0313736 | + | 0.177929i | −0.996468 | − | 0.0839738i | \(-0.973239\pi\) |
0.965094 | + | 0.261903i | \(0.0843499\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 0.173335 | + | 2.84907i | 0.0301737 | + | 0.495959i | ||||
\(34\) | −5.64091 | − | 2.05312i | −0.967409 | − | 0.352108i | ||||
\(35\) | 8.43828 | + | 6.10718i | 1.42633 | + | 1.03230i | ||||
\(36\) | 1.17397 | − | 2.76076i | 0.195662 | − | 0.460126i | ||||
\(37\) | 11.5523 | 1.89919 | 0.949593 | − | 0.313485i | \(-0.101497\pi\) | ||||
0.949593 | + | 0.313485i | \(0.101497\pi\) | |||||||
\(38\) | 0.693410 | + | 3.93252i | 0.112486 | + | 0.637939i | ||||
\(39\) | −0.734329 | + | 2.47612i | −0.117587 | + | 0.396497i | ||||
\(40\) | −3.69961 | + | 1.34655i | −0.584960 | + | 0.212908i | ||||
\(41\) | 0.699279 | − | 3.96581i | 0.109209 | − | 0.619355i | −0.880246 | − | 0.474517i | \(-0.842623\pi\) |
0.989455 | − | 0.144838i | \(-0.0462662\pi\) | |||||||
\(42\) | 0.605004 | + | 4.54246i | 0.0933541 | + | 0.700917i | ||||
\(43\) | −3.28674 | + | 2.75790i | −0.501223 | + | 0.420576i | −0.858028 | − | 0.513603i | \(-0.828310\pi\) |
0.356805 | + | 0.934179i | \(0.383866\pi\) | |||||||
\(44\) | 1.64795 | 0.248438 | ||||||||
\(45\) | 4.62198 | − | 10.8692i | 0.689005 | − | 1.62029i | ||||
\(46\) | 2.96298 | 0.436868 | ||||||||
\(47\) | 1.57235 | + | 8.91722i | 0.229350 | + | 1.30071i | 0.854192 | + | 0.519958i | \(0.174052\pi\) |
−0.624841 | + | 0.780752i | \(0.714836\pi\) | |||||||
\(48\) | −1.54982 | − | 0.773337i | −0.223698 | − | 0.111622i | ||||
\(49\) | −4.32981 | − | 5.50025i | −0.618544 | − | 0.785750i | ||||
\(50\) | −9.86707 | + | 3.59132i | −1.39541 | + | 0.507889i | ||||
\(51\) | −4.14288 | − | 9.53636i | −0.580119 | − | 1.33536i | ||||
\(52\) | 1.40121 | + | 0.509997i | 0.194312 | + | 0.0707239i | ||||
\(53\) | −5.68396 | + | 9.84491i | −0.780752 | + | 1.35230i | 0.150753 | + | 0.988572i | \(0.451830\pi\) |
−0.931504 | + | 0.363730i | \(0.881503\pi\) | |||||||
\(54\) | 4.86885 | − | 1.81502i | 0.662566 | − | 0.246994i | ||||
\(55\) | 6.48805 | 0.874849 | ||||||||
\(56\) | 2.63896 | − | 0.189393i | 0.352646 | − | 0.0253087i | ||||
\(57\) | −4.11583 | + | 5.55847i | −0.545155 | + | 0.736238i | ||||
\(58\) | 1.70836 | + | 1.43349i | 0.224319 | + | 0.188226i | ||||
\(59\) | 1.81067 | − | 0.659030i | 0.235729 | − | 0.0857984i | −0.221455 | − | 0.975171i | \(-0.571080\pi\) |
0.457184 | + | 0.889372i | \(0.348858\pi\) | |||||||
\(60\) | −6.10172 | − | 3.04466i | −0.787729 | − | 0.393064i | ||||
\(61\) | −0.132304 | − | 0.750333i | −0.0169398 | − | 0.0960703i | 0.975166 | − | 0.221477i | \(-0.0710877\pi\) |
−0.992105 | + | 0.125406i | \(0.959977\pi\) | |||||||
\(62\) | 0.502974 | + | 0.871176i | 0.0638777 | + | 0.110639i | ||||
\(63\) | −4.98775 | + | 6.17433i | −0.628397 | + | 0.777893i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 5.51661 | + | 2.00788i | 0.684251 | + | 0.249047i | ||||
\(66\) | 1.96413 | + | 2.07109i | 0.241767 | + | 0.254934i | ||||
\(67\) | −10.5823 | − | 8.87960i | −1.29283 | − | 1.08482i | −0.991336 | − | 0.131348i | \(-0.958070\pi\) |
−0.301496 | − | 0.953467i | \(-0.597486\pi\) | |||||||
\(68\) | −5.64091 | + | 2.05312i | −0.684061 | + | 0.248978i | ||||
\(69\) | 3.53146 | + | 3.72379i | 0.425138 | + | 0.448291i | ||||
\(70\) | 10.3897 | − | 0.745647i | 1.24181 | − | 0.0891219i | ||||
\(71\) | 0.162856 | − | 0.282076i | 0.0193275 | − | 0.0334762i | −0.856200 | − | 0.516645i | \(-0.827181\pi\) |
0.875527 | + | 0.483168i | \(0.160514\pi\) | |||||||
\(72\) | −0.875266 | − | 2.86948i | −0.103151 | − | 0.338171i | ||||
\(73\) | 0.342964 | 0.0401409 | 0.0200705 | − | 0.999799i | \(-0.493611\pi\) | ||||
0.0200705 | + | 0.999799i | \(0.493611\pi\) | |||||||
\(74\) | 8.84957 | − | 7.42567i | 1.02874 | − | 0.863217i | ||||
\(75\) | −16.2736 | − | 8.12028i | −1.87912 | − | 0.937649i | ||||
\(76\) | 3.05896 | + | 2.56677i | 0.350887 | + | 0.294429i | ||||
\(77\) | −4.19336 | − | 1.19412i | −0.477878 | − | 0.136082i | ||||
\(78\) | 1.02909 | + | 2.36884i | 0.116522 | + | 0.268218i | ||||
\(79\) | −10.5479 | + | 8.85072i | −1.18673 | + | 0.995783i | −0.186818 | + | 0.982395i | \(0.559817\pi\) |
−0.999910 | + | 0.0133887i | \(0.995738\pi\) | |||||||
\(80\) | −1.96852 | + | 3.40958i | −0.220087 | + | 0.381203i | ||||
\(81\) | 8.08405 | + | 3.95576i | 0.898228 | + | 0.439529i | ||||
\(82\) | −2.01349 | − | 3.48747i | −0.222353 | − | 0.385127i | ||||
\(83\) | −2.11023 | − | 11.9677i | −0.231628 | − | 1.31363i | −0.849600 | − | 0.527428i | \(-0.823157\pi\) |
0.617972 | − | 0.786200i | \(-0.287955\pi\) | |||||||
\(84\) | 3.38330 | + | 3.09084i | 0.369148 | + | 0.337238i | ||||
\(85\) | −22.2085 | + | 8.08324i | −2.40885 | + | 0.876751i | ||||
\(86\) | −0.745043 | + | 4.22535i | −0.0803400 | + | 0.455631i | ||||
\(87\) | 0.234568 | + | 3.85554i | 0.0251483 | + | 0.413357i | ||||
\(88\) | 1.26240 | − | 1.05928i | 0.134573 | − | 0.112920i | ||||
\(89\) | 3.33906 | − | 5.78343i | 0.353940 | − | 0.613042i | −0.632996 | − | 0.774155i | \(-0.718175\pi\) |
0.986936 | + | 0.161113i | \(0.0515084\pi\) | |||||||
\(90\) | −3.44596 | − | 11.2973i | −0.363236 | − | 1.19084i | ||||
\(91\) | −3.19595 | − | 2.31306i | −0.335026 | − | 0.242474i | ||||
\(92\) | 2.26978 | − | 1.90457i | 0.236641 | − | 0.198565i | ||||
\(93\) | −0.495393 | + | 1.67044i | −0.0513699 | + | 0.173217i | ||||
\(94\) | 6.93636 | + | 5.82030i | 0.715431 | + | 0.600318i | ||||
\(95\) | 12.0433 | + | 10.1055i | 1.23561 | + | 1.03680i | ||||
\(96\) | −1.68432 | + | 0.403796i | −0.171906 | + | 0.0412123i | ||||
\(97\) | −4.05678 | + | 3.40404i | −0.411903 | + | 0.345628i | −0.825073 | − | 0.565026i | \(-0.808866\pi\) |
0.413170 | + | 0.910654i | \(0.364422\pi\) | |||||||
\(98\) | −6.85232 | − | 1.43029i | −0.692189 | − | 0.144481i | ||||
\(99\) | −0.261923 | + | 4.93691i | −0.0263243 | + | 0.496178i | ||||
\(100\) | −5.25016 | + | 9.09354i | −0.525016 | + | 0.909354i | ||||
\(101\) | 7.95501 | − | 6.67504i | 0.791553 | − | 0.664192i | −0.154577 | − | 0.987981i | \(-0.549401\pi\) |
0.946129 | + | 0.323789i | \(0.104957\pi\) | |||||||
\(102\) | −9.30348 | − | 4.64229i | −0.921182 | − | 0.459655i | ||||
\(103\) | 2.55123 | − | 14.4687i | 0.251380 | − | 1.42565i | −0.553817 | − | 0.832639i | \(-0.686829\pi\) |
0.805197 | − | 0.593008i | \(-0.202060\pi\) | |||||||
\(104\) | 1.40121 | − | 0.509997i | 0.137399 | − | 0.0500093i | ||||
\(105\) | 13.3202 | + | 12.1688i | 1.29992 | + | 1.18755i | ||||
\(106\) | 1.97402 | + | 11.1952i | 0.191734 | + | 1.08738i | ||||
\(107\) | 6.80229 | + | 11.7819i | 0.657602 | + | 1.13900i | 0.981235 | + | 0.192818i | \(0.0617626\pi\) |
−0.323632 | + | 0.946183i | \(0.604904\pi\) | |||||||
\(108\) | 2.56308 | − | 4.52003i | 0.246632 | − | 0.434940i | ||||
\(109\) | −4.78613 | + | 8.28982i | −0.458428 | + | 0.794021i | −0.998878 | − | 0.0473552i | \(-0.984921\pi\) |
0.540450 | + | 0.841376i | \(0.318254\pi\) | |||||||
\(110\) | 4.97014 | − | 4.17044i | 0.473884 | − | 0.397636i | ||||
\(111\) | 19.8798 | + | 2.27151i | 1.88691 | + | 0.215602i | ||||
\(112\) | 1.89982 | − | 1.84138i | 0.179517 | − | 0.173994i | ||||
\(113\) | 1.41520 | + | 1.18749i | 0.133131 | + | 0.111710i | 0.706922 | − | 0.707292i | \(-0.250083\pi\) |
−0.573791 | + | 0.819002i | \(0.694528\pi\) | |||||||
\(114\) | 0.420012 | + | 6.90364i | 0.0393377 | + | 0.646585i | ||||
\(115\) | 8.93621 | − | 7.49837i | 0.833306 | − | 0.699227i | ||||
\(116\) | 2.23011 | 0.207061 | ||||||||
\(117\) | −1.75055 | + | 4.11665i | −0.161838 | + | 0.380585i | ||||
\(118\) | 0.963437 | − | 1.66872i | 0.0886916 | − | 0.153618i | ||||
\(119\) | 15.8415 | − | 1.13691i | 1.45219 | − | 0.104221i | ||||
\(120\) | −6.63126 | + | 1.58976i | −0.605348 | + | 0.145125i | ||||
\(121\) | 7.78466 | − | 2.83338i | 0.707696 | − | 0.257580i | ||||
\(122\) | −0.583656 | − | 0.489745i | −0.0528417 | − | 0.0443395i | ||||
\(123\) | 1.98315 | − | 6.68708i | 0.178814 | − | 0.602954i | ||||
\(124\) | 0.945282 | + | 0.344054i | 0.0848888 | + | 0.0308970i | ||||
\(125\) | −10.8275 | + | 18.7538i | −0.968440 | + | 1.67739i | ||||
\(126\) | 0.147947 | + | 7.93587i | 0.0131801 | + | 0.706984i | ||||
\(127\) | 4.80221 | + | 8.31767i | 0.426127 | + | 0.738074i | 0.996525 | − | 0.0832946i | \(-0.0265443\pi\) |
−0.570398 | + | 0.821369i | \(0.693211\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −6.19827 | + | 4.09968i | −0.545728 | + | 0.360956i | ||||
\(130\) | 5.51661 | − | 2.00788i | 0.483838 | − | 0.176103i | ||||
\(131\) | −10.0888 | − | 8.46551i | −0.881462 | − | 0.739635i | 0.0850168 | − | 0.996380i | \(-0.472906\pi\) |
−0.966479 | + | 0.256745i | \(0.917350\pi\) | |||||||
\(132\) | 2.83588 | + | 0.324034i | 0.246832 | + | 0.0282035i | ||||
\(133\) | −5.92390 | − | 8.74793i | −0.513667 | − | 0.758542i | ||||
\(134\) | −13.8142 | −1.19336 | ||||||||
\(135\) | 10.0910 | − | 17.7955i | 0.868491 | − | 1.53160i | ||||
\(136\) | −3.00147 | + | 5.19869i | −0.257374 | + | 0.445784i | ||||
\(137\) | −18.3480 | − | 6.67813i | −1.56758 | − | 0.570551i | −0.595120 | − | 0.803636i | \(-0.702896\pi\) |
−0.972456 | + | 0.233085i | \(0.925118\pi\) | |||||||
\(138\) | 5.09886 | + | 0.582607i | 0.434044 | + | 0.0495948i | ||||
\(139\) | −4.31051 | + | 1.56890i | −0.365613 | + | 0.133072i | −0.518292 | − | 0.855204i | \(-0.673432\pi\) |
0.152680 | + | 0.988276i | \(0.451210\pi\) | |||||||
\(140\) | 7.47969 | − | 7.24958i | 0.632149 | − | 0.612701i | ||||
\(141\) | 0.952400 | + | 15.6544i | 0.0802066 | + | 1.31834i | ||||
\(142\) | −0.0565595 | − | 0.320765i | −0.00474636 | − | 0.0269180i | ||||
\(143\) | −2.45731 | −0.205491 | ||||||||
\(144\) | −2.51496 | − | 1.63554i | −0.209580 | − | 0.136295i | ||||
\(145\) | 8.78005 | 0.729143 | ||||||||
\(146\) | 0.262726 | − | 0.220453i | 0.0217433 | − | 0.0182448i | ||||
\(147\) | −6.36947 | − | 10.3165i | −0.525345 | − | 0.850890i | ||||
\(148\) | 2.00604 | − | 11.3768i | 0.164895 | − | 0.935167i | ||||
\(149\) | −7.10884 | + | 2.58740i | −0.582379 | + | 0.211968i | −0.616374 | − | 0.787454i | \(-0.711399\pi\) |
0.0339955 | + | 0.999422i | \(0.489177\pi\) | |||||||
\(150\) | −17.6859 | + | 4.23999i | −1.44405 | + | 0.346194i | ||||
\(151\) | −3.56606 | − | 20.2241i | −0.290202 | − | 1.64582i | −0.686088 | − | 0.727518i | \(-0.740674\pi\) |
0.395886 | − | 0.918300i | \(-0.370438\pi\) | |||||||
\(152\) | 3.99319 | 0.323890 | ||||||||
\(153\) | −5.25416 | − | 17.2253i | −0.424774 | − | 1.39258i | ||||
\(154\) | −3.97986 | + | 1.78069i | −0.320707 | + | 0.143492i | ||||
\(155\) | 3.72162 | + | 1.35456i | 0.298927 | + | 0.108801i | ||||
\(156\) | 2.31099 | + | 1.15315i | 0.185027 | + | 0.0923256i | ||||
\(157\) | −6.63254 | + | 2.41405i | −0.529334 | + | 0.192662i | −0.592841 | − | 0.805320i | \(-0.701994\pi\) |
0.0635069 | + | 0.997981i | \(0.479772\pi\) | |||||||
\(158\) | −2.39101 | + | 13.5601i | −0.190218 | + | 1.07878i | ||||
\(159\) | −11.7170 | + | 15.8240i | −0.929222 | + | 1.25493i | ||||
\(160\) | 0.683660 | + | 3.87723i | 0.0540481 | + | 0.306522i | ||||
\(161\) | −7.15572 | + | 3.20165i | −0.563950 | + | 0.252326i | ||||
\(162\) | 8.73546 | − | 2.16604i | 0.686323 | − | 0.170180i | ||||
\(163\) | −0.867735 | − | 1.50296i | −0.0679662 | − | 0.117721i | 0.830040 | − | 0.557704i | \(-0.188318\pi\) |
−0.898006 | + | 0.439983i | \(0.854984\pi\) | |||||||
\(164\) | −3.78413 | − | 1.37731i | −0.295491 | − | 0.107550i | ||||
\(165\) | 11.1650 | + | 1.27573i | 0.869193 | + | 0.0993158i | ||||
\(166\) | −9.30923 | − | 7.81137i | −0.722537 | − | 0.606280i | ||||
\(167\) | −0.597809 | − | 0.501622i | −0.0462599 | − | 0.0388166i | 0.619365 | − | 0.785103i | \(-0.287390\pi\) |
−0.665624 | + | 0.746287i | \(0.731835\pi\) | |||||||
\(168\) | 4.57851 | + | 0.192978i | 0.353240 | + | 0.0148886i | ||||
\(169\) | 10.1266 | + | 3.68579i | 0.778971 | + | 0.283522i | ||||
\(170\) | −11.8169 | + | 20.4675i | −0.906315 | + | 1.56978i | ||||
\(171\) | −8.17569 | + | 8.75603i | −0.625210 | + | 0.669590i | ||||
\(172\) | 2.14527 | + | 3.71571i | 0.163575 | + | 0.283320i | ||||
\(173\) | 13.1810 | + | 4.79750i | 1.00214 | + | 0.364747i | 0.790408 | − | 0.612581i | \(-0.209869\pi\) |
0.211728 | + | 0.977329i | \(0.432091\pi\) | |||||||
\(174\) | 2.65798 | + | 2.80274i | 0.201501 | + | 0.212475i | ||||
\(175\) | 19.9488 | − | 19.3350i | 1.50798 | − | 1.46159i | ||||
\(176\) | 0.286164 | − | 1.62291i | 0.0215704 | − | 0.122332i | ||||
\(177\) | 3.24548 | − | 0.778065i | 0.243945 | − | 0.0584829i | ||||
\(178\) | −1.15964 | − | 6.57667i | −0.0869190 | − | 0.492942i | ||||
\(179\) | −11.9414 | − | 20.6831i | −0.892542 | − | 1.54593i | −0.836817 | − | 0.547483i | \(-0.815586\pi\) |
−0.0557253 | − | 0.998446i | \(-0.517747\pi\) | |||||||
\(180\) | −9.90150 | − | 6.43919i | −0.738014 | − | 0.479949i | ||||
\(181\) | −12.6683 | − | 21.9421i | −0.941624 | − | 1.63094i | −0.762374 | − | 0.647136i | \(-0.775966\pi\) |
−0.179249 | − | 0.983804i | \(-0.557367\pi\) | |||||||
\(182\) | −3.93504 | + | 0.282409i | −0.291685 | + | 0.0209336i | ||||
\(183\) | −0.0801391 | − | 1.31723i | −0.00592405 | − | 0.0973723i | ||||
\(184\) | 0.514517 | − | 2.91797i | 0.0379307 | − | 0.215116i | ||||
\(185\) | 7.89785 | − | 44.7909i | 0.580661 | − | 3.29309i | ||||
\(186\) | 0.694246 | + | 1.59807i | 0.0509046 | + | 0.117176i | ||||
\(187\) | 7.57812 | − | 6.35880i | 0.554167 | − | 0.465001i | ||||
\(188\) | 9.05478 | 0.660388 | ||||||||
\(189\) | −9.79723 | + | 9.64439i | −0.712644 | + | 0.701526i | ||||
\(190\) | 15.7214 | 1.14055 | ||||||||
\(191\) | 18.7546 | − | 15.7370i | 1.35704 | − | 1.13869i | 0.380152 | − | 0.924924i | \(-0.375872\pi\) |
0.976885 | − | 0.213766i | \(-0.0685729\pi\) | |||||||
\(192\) | −1.03071 | + | 1.39199i | −0.0743852 | + | 0.100458i | ||||
\(193\) | −2.41439 | + | 13.6927i | −0.173791 | + | 0.985620i | 0.765738 | + | 0.643152i | \(0.222374\pi\) |
−0.939530 | + | 0.342468i | \(0.888737\pi\) | |||||||
\(194\) | −0.919597 | + | 5.21529i | −0.0660232 | + | 0.374436i | ||||
\(195\) | 9.09847 | + | 4.53999i | 0.651555 | + | 0.325115i | ||||
\(196\) | −6.16855 | + | 3.30892i | −0.440611 | + | 0.236352i | ||||
\(197\) | −6.22118 | − | 10.7754i | −0.443241 | − | 0.767716i | 0.554687 | − | 0.832059i | \(-0.312838\pi\) |
−0.997928 | + | 0.0643433i | \(0.979505\pi\) | |||||||
\(198\) | 2.97274 | + | 3.95025i | 0.211263 | + | 0.280732i | ||||
\(199\) | 9.61869 | + | 16.6601i | 0.681851 | + | 1.18100i | 0.974415 | + | 0.224754i | \(0.0721580\pi\) |
−0.292565 | + | 0.956246i | \(0.594509\pi\) | |||||||
\(200\) | 1.82336 | + | 10.3408i | 0.128931 | + | 0.731204i | ||||
\(201\) | −16.4646 | − | 17.3613i | −1.16132 | − | 1.22457i | ||||
\(202\) | 1.80325 | − | 10.2268i | 0.126876 | − | 0.719552i | ||||
\(203\) | −5.67472 | − | 1.61596i | −0.398287 | − | 0.113418i | ||||
\(204\) | −10.1109 | + | 2.42396i | −0.707904 | + | 0.169711i | ||||
\(205\) | −14.8983 | − | 5.42253i | −1.04054 | − | 0.378726i | ||||
\(206\) | −7.34597 | − | 12.7236i | −0.511818 | − | 0.886495i | ||||
\(207\) | 5.34493 | + | 7.10248i | 0.371498 | + | 0.493656i | ||||
\(208\) | 0.745566 | − | 1.29136i | 0.0516957 | − | 0.0895395i | ||||
\(209\) | −6.18372 | − | 2.25069i | −0.427737 | − | 0.155683i | ||||
\(210\) | 18.0258 | + | 0.759762i | 1.24390 | + | 0.0524286i | ||||
\(211\) | 7.78357 | + | 6.53119i | 0.535843 | + | 0.449626i | 0.870114 | − | 0.492851i | \(-0.164045\pi\) |
−0.334270 | + | 0.942477i | \(0.608490\pi\) | |||||||
\(212\) | 8.70833 | + | 7.30716i | 0.598091 | + | 0.501858i | ||||
\(213\) | 0.335716 | − | 0.453389i | 0.0230029 | − | 0.0310657i | ||||
\(214\) | 12.7841 | + | 4.65304i | 0.873905 | + | 0.318075i | ||||
\(215\) | 8.44600 | + | 14.6289i | 0.576013 | + | 0.997683i | ||||
\(216\) | −0.941984 | − | 5.11006i | −0.0640939 | − | 0.347695i | ||||
\(217\) | −2.15605 | − | 1.56044i | −0.146362 | − | 0.105929i | ||||
\(218\) | 1.66221 | + | 9.42684i | 0.112579 | + | 0.638466i | ||||
\(219\) | 0.590191 | + | 0.0674365i | 0.0398814 | + | 0.00455693i | ||||
\(220\) | 1.12664 | − | 6.38948i | 0.0759579 | − | 0.430779i | ||||
\(221\) | 8.41134 | − | 3.06148i | 0.565808 | − | 0.205937i | ||||
\(222\) | 16.6889 | − | 11.0384i | 1.12009 | − | 0.740850i | ||||
\(223\) | 6.14714 | + | 2.23738i | 0.411643 | + | 0.149826i | 0.539537 | − | 0.841962i | \(-0.318599\pi\) |
−0.127894 | + | 0.991788i | \(0.540822\pi\) | |||||||
\(224\) | 0.271736 | − | 2.63176i | 0.0181561 | − | 0.175842i | ||||
\(225\) | −26.4078 | − | 17.1737i | −1.76052 | − | 1.14491i | ||||
\(226\) | 1.84741 | 0.122888 | ||||||||
\(227\) | −2.26294 | − | 12.8338i | −0.150197 | − | 0.851808i | −0.963047 | − | 0.269335i | \(-0.913196\pi\) |
0.812850 | − | 0.582473i | \(-0.197915\pi\) | |||||||
\(228\) | 4.75932 | + | 5.01852i | 0.315194 | + | 0.332359i | ||||
\(229\) | 9.46418 | − | 3.44468i | 0.625411 | − | 0.227631i | −0.00982197 | − | 0.999952i | \(-0.503126\pi\) |
0.635233 | + | 0.772321i | \(0.280904\pi\) | |||||||
\(230\) | 2.02568 | − | 11.4882i | 0.133569 | − | 0.757508i | ||||
\(231\) | −6.98136 | − | 2.87943i | −0.459340 | − | 0.189453i | ||||
\(232\) | 1.70836 | − | 1.43349i | 0.112160 | − | 0.0941131i | ||||
\(233\) | 1.90776 | 0.124982 | 0.0624908 | − | 0.998046i | \(-0.480096\pi\) | ||||
0.0624908 | + | 0.998046i | \(0.480096\pi\) | |||||||
\(234\) | 1.30514 | + | 4.27877i | 0.0853194 | + | 0.279712i | ||||
\(235\) | 35.6491 | 2.32549 | ||||||||
\(236\) | −0.334598 | − | 1.89760i | −0.0217805 | − | 0.123523i | ||||
\(237\) | −19.8916 | + | 13.1568i | −1.29210 | + | 0.854624i | ||||
\(238\) | 11.4045 | − | 11.0537i | 0.739245 | − | 0.716503i | ||||
\(239\) | −6.84005 | + | 2.48957i | −0.442446 | + | 0.161037i | −0.553630 | − | 0.832763i | \(-0.686758\pi\) |
0.111184 | + | 0.993800i | \(0.464536\pi\) | |||||||
\(240\) | −4.05796 | + | 5.48032i | −0.261940 | + | 0.353753i | ||||
\(241\) | 10.8972 | + | 3.96625i | 0.701949 | + | 0.255489i | 0.668243 | − | 0.743943i | \(-0.267047\pi\) |
0.0337062 | + | 0.999432i | \(0.489269\pi\) | |||||||
\(242\) | 4.14213 | − | 7.17438i | 0.266266 | − | 0.461187i | ||||
\(243\) | 13.1337 | + | 8.39685i | 0.842525 | + | 0.538658i | ||||
\(244\) | −0.761908 | −0.0487762 | ||||||||
\(245\) | −24.2859 | + | 13.0274i | −1.55157 | + | 0.832288i | ||||
\(246\) | −2.77919 | − | 6.39734i | −0.177195 | − | 0.407880i | ||||
\(247\) | −4.56131 | − | 3.82739i | −0.290229 | − | 0.243531i | ||||
\(248\) | 0.945282 | − | 0.344054i | 0.0600254 | − | 0.0218475i | ||||
\(249\) | −1.27821 | − | 21.0096i | −0.0810031 | − | 1.33143i | ||||
\(250\) | 3.76035 | + | 21.3260i | 0.237825 | + | 1.34877i | ||||
\(251\) | 6.61645 | + | 11.4600i | 0.417627 | + | 0.723351i | 0.995700 | − | 0.0926340i | \(-0.0295287\pi\) |
−0.578074 | + | 0.815985i | \(0.696195\pi\) | |||||||
\(252\) | 5.21442 | + | 5.98413i | 0.328477 | + | 0.376965i | ||||
\(253\) | −2.44143 | + | 4.22867i | −0.153491 | + | 0.265854i | ||||
\(254\) | 9.02520 | + | 3.28491i | 0.566292 | + | 0.206113i | ||||
\(255\) | −39.8070 | + | 9.54325i | −2.49281 | + | 0.597622i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −15.7880 | + | 5.74638i | −0.984831 | + | 0.358449i | −0.783717 | − | 0.621118i | \(-0.786679\pi\) |
−0.201115 | + | 0.979568i | \(0.564456\pi\) | |||||||
\(258\) | −2.11293 | + | 7.12471i | −0.131545 | + | 0.443565i | ||||
\(259\) | −13.3483 | + | 27.4957i | −0.829420 | + | 1.70850i | ||||
\(260\) | 2.93532 | − | 5.08413i | 0.182041 | − | 0.315304i | ||||
\(261\) | −0.354451 | + | 6.68094i | −0.0219400 | + | 0.413540i | ||||
\(262\) | −13.1700 | −0.813645 | ||||||||
\(263\) | 3.51508 | − | 2.94950i | 0.216749 | − | 0.181874i | −0.527948 | − | 0.849277i | \(-0.677038\pi\) |
0.744697 | + | 0.667403i | \(0.232594\pi\) | |||||||
\(264\) | 2.38070 | − | 1.57464i | 0.146522 | − | 0.0969127i | ||||
\(265\) | 34.2851 | + | 28.7686i | 2.10612 | + | 1.76724i | ||||
\(266\) | −10.1610 | − | 2.89350i | −0.623013 | − | 0.177412i | ||||
\(267\) | 6.88323 | − | 9.29588i | 0.421247 | − | 0.568899i | ||||
\(268\) | −10.5823 | + | 8.87960i | −0.646416 | + | 0.542408i | ||||
\(269\) | 10.3614 | − | 17.9465i | 0.631748 | − | 1.09422i | −0.355446 | − | 0.934697i | \(-0.615671\pi\) |
0.987194 | − | 0.159523i | \(-0.0509957\pi\) | |||||||
\(270\) | −3.70863 | − | 20.1185i | −0.225700 | − | 1.22437i | ||||
\(271\) | 3.94725 | + | 6.83683i | 0.239778 | + | 0.415308i | 0.960651 | − | 0.277760i | \(-0.0895920\pi\) |
−0.720872 | + | 0.693068i | \(0.756259\pi\) | |||||||
\(272\) | 1.04240 | + | 5.91174i | 0.0632047 | + | 0.358452i | ||||
\(273\) | −5.04494 | − | 4.60885i | −0.305334 | − | 0.278940i | ||||
\(274\) | −18.3480 | + | 6.67813i | −1.10844 | + | 0.403441i | ||||
\(275\) | 3.00481 | − | 17.0411i | 0.181197 | − | 1.02762i | ||||
\(276\) | 4.28045 | − | 2.83118i | 0.257653 | − | 0.170417i | ||||
\(277\) | −3.21955 | + | 2.70152i | −0.193444 | + | 0.162319i | −0.734365 | − | 0.678754i | \(-0.762520\pi\) |
0.540921 | + | 0.841073i | \(0.318076\pi\) | |||||||
\(278\) | −2.29357 | + | 3.97259i | −0.137559 | + | 0.238260i | ||||
\(279\) | −1.18096 | + | 2.77718i | −0.0707020 | + | 0.166265i | ||||
\(280\) | 1.06984 | − | 10.3614i | 0.0639349 | − | 0.619209i | ||||
\(281\) | 6.32170 | − | 5.30454i | 0.377121 | − | 0.316442i | −0.434450 | − | 0.900696i | \(-0.643057\pi\) |
0.811571 | + | 0.584254i | \(0.198613\pi\) | |||||||
\(282\) | 10.7920 | + | 11.3798i | 0.642656 | + | 0.677655i | ||||
\(283\) | −10.6237 | − | 8.91432i | −0.631512 | − | 0.529901i | 0.269886 | − | 0.962892i | \(-0.413014\pi\) |
−0.901398 | + | 0.432991i | \(0.857458\pi\) | |||||||
\(284\) | −0.249511 | − | 0.209364i | −0.0148057 | − | 0.0124235i | ||||
\(285\) | 18.7377 | + | 19.7581i | 1.10992 | + | 1.17037i | ||||
\(286\) | −1.88241 | + | 1.57953i | −0.111309 | + | 0.0933995i | ||||
\(287\) | 8.63106 | + | 6.24670i | 0.509475 | + | 0.368731i | ||||
\(288\) | −2.97787 | + | 0.363689i | −0.175473 | + | 0.0214306i | ||||
\(289\) | −9.51761 | + | 16.4850i | −0.559859 | + | 0.969705i | ||||
\(290\) | 6.72591 | − | 5.64371i | 0.394959 | − | 0.331410i | ||||
\(291\) | −7.65045 | + | 5.06018i | −0.448478 | + | 0.296633i | ||||
\(292\) | 0.0595551 | − | 0.337754i | 0.00348520 | − | 0.0197656i | ||||
\(293\) | 4.43361 | − | 1.61370i | 0.259014 | − | 0.0942736i | −0.209249 | − | 0.977862i | \(-0.567102\pi\) |
0.468264 | + | 0.883589i | \(0.344880\pi\) | |||||||
\(294\) | −11.5106 | − | 3.80867i | −0.671312 | − | 0.222126i | ||||
\(295\) | −1.31733 | − | 7.47094i | −0.0766978 | − | 0.434975i | ||||
\(296\) | −5.77615 | − | 10.0046i | −0.335732 | − | 0.581505i | ||||
\(297\) | −1.42147 | + | 8.44419i | −0.0824819 | + | 0.489982i | ||||
\(298\) | −3.78253 | + | 6.55154i | −0.219116 | + | 0.379520i | ||||
\(299\) | −3.38454 | + | 2.83996i | −0.195733 | + | 0.164239i | ||||
\(300\) | −10.8228 | + | 14.6163i | −0.624855 | + | 0.843874i | ||||
\(301\) | −2.76639 | − | 11.0094i | −0.159452 | − | 0.634573i | ||||
\(302\) | −15.7316 | − | 13.2004i | −0.905252 | − | 0.759596i | ||||
\(303\) | 15.0019 | − | 9.92259i | 0.861837 | − | 0.570038i | ||||
\(304\) | 3.05896 | − | 2.56677i | 0.175443 | − | 0.147214i | ||||
\(305\) | −2.99967 | −0.171760 | ||||||||
\(306\) | −15.0971 | − | 9.81803i | −0.863045 | − | 0.561259i | ||||
\(307\) | 9.95456 | − | 17.2418i | 0.568137 | − | 0.984042i | −0.428614 | − | 0.903488i | \(-0.640998\pi\) |
0.996750 | − | 0.0805537i | \(-0.0256688\pi\) | |||||||
\(308\) | −1.90415 | + | 3.92230i | −0.108499 | + | 0.223494i | ||||
\(309\) | 7.23525 | − | 24.3969i | 0.411599 | − | 1.38789i | ||||
\(310\) | 3.72162 | − | 1.35456i | 0.211374 | − | 0.0769337i | ||||
\(311\) | −10.3028 | − | 8.64509i | −0.584219 | − | 0.490218i | 0.302111 | − | 0.953273i | \(-0.402309\pi\) |
−0.886330 | + | 0.463055i | \(0.846753\pi\) | |||||||
\(312\) | 2.51155 | − | 0.602114i | 0.142188 | − | 0.0340880i | ||||
\(313\) | −9.21049 | − | 3.35234i | −0.520608 | − | 0.189486i | 0.0683321 | − | 0.997663i | \(-0.478232\pi\) |
−0.588940 | + | 0.808177i | \(0.700454\pi\) | |||||||
\(314\) | −3.52910 | + | 6.11258i | −0.199159 | + | 0.344953i | ||||
\(315\) | 20.5294 | + | 23.5598i | 1.15670 | + | 1.32744i | ||||
\(316\) | 6.88463 | + | 11.9245i | 0.387291 | + | 0.670808i | ||||
\(317\) | −5.63135 | − | 31.9370i | −0.316288 | − | 1.79376i | −0.564905 | − | 0.825156i | \(-0.691087\pi\) |
0.248617 | − | 0.968602i | \(-0.420024\pi\) | |||||||
\(318\) | 1.19570 | + | 19.6535i | 0.0670516 | + | 1.10211i | ||||
\(319\) | −3.45348 | + | 1.25696i | −0.193358 | + | 0.0703764i | ||||
\(320\) | 3.01595 | + | 2.53068i | 0.168597 | + | 0.141469i | ||||
\(321\) | 9.38909 | + | 21.6125i | 0.524048 | + | 1.20629i | ||||
\(322\) | −3.42362 | + | 7.05222i | −0.190791 | + | 0.393005i | ||||
\(323\) | 23.9708 | 1.33377 | ||||||||
\(324\) | 5.29945 | − | 7.27433i | 0.294414 | − | 0.404129i | ||||
\(325\) | 7.82867 | − | 13.5597i | 0.434257 | − | 0.752155i | ||||
\(326\) | −1.63081 | − | 0.593565i | −0.0903221 | − | 0.0328746i | ||||
\(327\) | −9.86625 | + | 13.3245i | −0.545605 | + | 0.736846i | ||||
\(328\) | −3.78413 | + | 1.37731i | −0.208944 | + | 0.0760493i | ||||
\(329\) | −23.0407 | − | 6.56116i | −1.27028 | − | 0.361729i | ||||
\(330\) | 9.37290 | − | 6.19945i | 0.515961 | − | 0.341268i | ||||
\(331\) | −1.74452 | − | 9.89365i | −0.0958874 | − | 0.543804i | −0.994472 | − | 0.105004i | \(-0.966515\pi\) |
0.898584 | − | 0.438801i | \(-0.144597\pi\) | |||||||
\(332\) | −12.1523 | −0.666946 | ||||||||
\(333\) | 33.7636 | + | 7.81787i | 1.85023 | + | 0.428417i | ||||
\(334\) | −0.780385 | −0.0427007 | ||||||||
\(335\) | −41.6629 | + | 34.9594i | −2.27629 | + | 1.91003i | ||||
\(336\) | 3.63139 | − | 2.79518i | 0.198108 | − | 0.152490i | ||||
\(337\) | −3.78662 | + | 21.4750i | −0.206270 | + | 1.16982i | 0.689158 | + | 0.724611i | \(0.257980\pi\) |
−0.895429 | + | 0.445205i | \(0.853131\pi\) | |||||||
\(338\) | 10.1266 | − | 3.68579i | 0.550816 | − | 0.200481i | ||||
\(339\) | 2.20185 | + | 2.32177i | 0.119588 | + | 0.126101i | ||||
\(340\) | 4.10397 | + | 23.2748i | 0.222569 | + | 1.26225i | ||||
\(341\) | −1.65775 | −0.0897723 | ||||||||
\(342\) | −0.634672 | + | 11.9627i | −0.0343191 | + | 0.646871i | ||||
\(343\) | 18.0941 | − | 3.95007i | 0.976990 | − | 0.213284i | ||||
\(344\) | 4.03178 | + | 1.46745i | 0.217379 | + | 0.0791195i | ||||
\(345\) | 16.8523 | − | 11.1465i | 0.907298 | − | 0.600107i | ||||
\(346\) | 13.1810 | − | 4.79750i | 0.708616 | − | 0.257915i | ||||
\(347\) | −4.11547 | + | 23.3400i | −0.220930 | + | 1.25296i | 0.649384 | + | 0.760461i | \(0.275027\pi\) |
−0.870314 | + | 0.492497i | \(0.836084\pi\) | |||||||
\(348\) | 3.83770 | + | 0.438503i | 0.205722 | + | 0.0235062i | ||||
\(349\) | 0.965025 | + | 5.47293i | 0.0516566 | + | 0.292959i | 0.999681 | − | 0.0252370i | \(-0.00803404\pi\) |
−0.948025 | + | 0.318196i | \(0.896923\pi\) | |||||||
\(350\) | 2.85331 | − | 27.6343i | 0.152516 | − | 1.47712i | ||||
\(351\) | −3.82189 | + | 6.73995i | −0.203997 | + | 0.359752i | ||||
\(352\) | −0.823975 | − | 1.42717i | −0.0439180 | − | 0.0760682i | ||||
\(353\) | 3.36025 | + | 1.22303i | 0.178848 | + | 0.0650953i | 0.429892 | − | 0.902880i | \(-0.358552\pi\) |
−0.251044 | + | 0.967976i | \(0.580774\pi\) | |||||||
\(354\) | 1.98605 | − | 2.68219i | 0.105557 | − | 0.142557i | ||||
\(355\) | −0.982334 | − | 0.824276i | −0.0521369 | − | 0.0437480i | ||||
\(356\) | −5.11574 | − | 4.29262i | −0.271134 | − | 0.227508i | ||||
\(357\) | 27.4845 | + | 1.15843i | 1.45463 | + | 0.0613108i | ||||
\(358\) | −22.4425 | − | 8.16840i | −1.18612 | − | 0.431713i | ||||
\(359\) | −5.28790 | + | 9.15890i | −0.279084 | + | 0.483388i | −0.971157 | − | 0.238439i | \(-0.923364\pi\) |
0.692073 | + | 0.721827i | \(0.256698\pi\) | |||||||
\(360\) | −11.7240 | + | 1.43186i | −0.617910 | + | 0.0754656i | ||||
\(361\) | 1.52723 | + | 2.64523i | 0.0803803 | + | 0.139223i | ||||
\(362\) | −23.8085 | − | 8.66559i | −1.25135 | − | 0.455454i | ||||
\(363\) | 13.9534 | − | 3.34516i | 0.732363 | − | 0.175575i | ||||
\(364\) | −2.83289 | + | 2.74573i | −0.148484 | + | 0.143916i | ||||
\(365\) | 0.234471 | − | 1.32975i | 0.0122728 | − | 0.0696024i | ||||
\(366\) | −0.908088 | − | 0.957543i | −0.0474665 | − | 0.0500516i | ||||
\(367\) | 1.66632 | + | 9.45015i | 0.0869810 | + | 0.493294i | 0.996912 | + | 0.0785331i | \(0.0250236\pi\) |
−0.909930 | + | 0.414761i | \(0.863865\pi\) | |||||||
\(368\) | −1.48149 | − | 2.56602i | −0.0772281 | − | 0.133763i | ||||
\(369\) | 4.72758 | − | 11.1175i | 0.246108 | − | 0.578756i | ||||
\(370\) | −22.7410 | − | 39.3885i | −1.18225 | − | 2.04771i | ||||
\(371\) | −16.8643 | − | 24.9038i | −0.875552 | − | 1.29294i | ||||
\(372\) | 1.55904 | + | 0.777936i | 0.0808325 | + | 0.0403341i | ||||
\(373\) | −5.23559 | + | 29.6925i | −0.271089 | + | 1.53742i | 0.480029 | + | 0.877252i | \(0.340626\pi\) |
−0.751118 | + | 0.660168i | \(0.770485\pi\) | |||||||
\(374\) | 1.71782 | − | 9.74225i | 0.0888264 | − | 0.503760i | ||||
\(375\) | −22.3200 | + | 30.1435i | −1.15260 | + | 1.55660i | ||||
\(376\) | 6.93636 | − | 5.82030i | 0.357716 | − | 0.300159i | ||||
\(377\) | −3.32539 | −0.171266 | ||||||||
\(378\) | −1.30582 | + | 13.6856i | −0.0671643 | + | 0.703910i | ||||
\(379\) | −3.98054 | −0.204467 | −0.102233 | − | 0.994760i | \(-0.532599\pi\) | ||||
−0.102233 | + | 0.994760i | \(0.532599\pi\) | |||||||
\(380\) | 12.0433 | − | 10.1055i | 0.617806 | − | 0.518401i | ||||
\(381\) | 6.62841 | + | 15.2577i | 0.339584 | + | 0.781678i | ||||
\(382\) | 4.25133 | − | 24.1105i | 0.217517 | − | 1.23360i | ||||
\(383\) | 0.601075 | − | 3.40887i | 0.0307135 | − | 0.174185i | −0.965592 | − | 0.260060i | \(-0.916258\pi\) |
0.996306 | + | 0.0858753i | \(0.0273687\pi\) | |||||||
\(384\) | 0.105182 | + | 1.72885i | 0.00536755 | + | 0.0882252i | ||||
\(385\) | −7.49670 | + | 15.4423i | −0.382067 | + | 0.787010i | ||||
\(386\) | 6.95195 | + | 12.0411i | 0.353845 | + | 0.612878i | ||||
\(387\) | −11.4724 | + | 5.83619i | −0.583177 | + | 0.296670i | ||||
\(388\) | 2.64787 | + | 4.58625i | 0.134425 | + | 0.232832i | ||||
\(389\) | 4.67788 | + | 26.5296i | 0.237178 | + | 1.34510i | 0.837979 | + | 0.545703i | \(0.183737\pi\) |
−0.600801 | + | 0.799399i | \(0.705152\pi\) | |||||||
\(390\) | 9.88808 | − | 2.37055i | 0.500702 | − | 0.120037i | ||||
\(391\) | 3.08861 | − | 17.5164i | 0.156198 | − | 0.885841i | ||||
\(392\) | −2.59845 | + | 6.49985i | −0.131242 | + | 0.328292i | ||||
\(393\) | −15.6968 | − | 16.5516i | −0.791798 | − | 0.834920i | ||||
\(394\) | −11.6920 | − | 4.25554i | −0.589035 | − | 0.214391i | ||||
\(395\) | 27.1051 | + | 46.9474i | 1.36381 | + | 2.36218i | ||||
\(396\) | 4.81642 | + | 1.11523i | 0.242034 | + | 0.0560424i | ||||
\(397\) | −5.73774 | + | 9.93805i | −0.287969 | + | 0.498776i | −0.973325 | − | 0.229432i | \(-0.926313\pi\) |
0.685356 | + | 0.728208i | \(0.259647\pi\) | |||||||
\(398\) | 18.0772 | + | 6.57957i | 0.906129 | + | 0.329804i | ||||
\(399\) | −8.47407 | − | 16.2187i | −0.424234 | − | 0.811951i | ||||
\(400\) | 8.04371 | + | 6.74947i | 0.402185 | + | 0.337474i | ||||
\(401\) | −6.93235 | − | 5.81693i | −0.346185 | − | 0.290484i | 0.453071 | − | 0.891474i | \(-0.350328\pi\) |
−0.799256 | + | 0.600991i | \(0.794773\pi\) | |||||||
\(402\) | −23.7722 | − | 2.71626i | −1.18565 | − | 0.135475i | ||||
\(403\) | −1.40954 | − | 0.513030i | −0.0702141 | − | 0.0255559i | ||||
\(404\) | −5.19226 | − | 8.99326i | −0.258325 | − | 0.447431i | ||||
\(405\) | 20.8642 | − | 28.6393i | 1.03675 | − | 1.42310i | ||||
\(406\) | −5.38581 | + | 2.40975i | −0.267293 | + | 0.119594i | ||||
\(407\) | 3.30585 | + | 18.7484i | 0.163865 | + | 0.929323i | ||||
\(408\) | −6.18730 | + | 8.35602i | −0.306317 | + | 0.413685i | ||||
\(409\) | −6.46292 | + | 36.6530i | −0.319571 | + | 1.81237i | 0.225793 | + | 0.974175i | \(0.427503\pi\) |
−0.545364 | + | 0.838200i | \(0.683608\pi\) | |||||||
\(410\) | −14.8983 | + | 5.42253i | −0.735774 | + | 0.267800i | ||||
\(411\) | −30.2611 | − | 15.0998i | −1.49267 | − | 0.744820i | ||||
\(412\) | −13.8059 | − | 5.02494i | −0.680168 | − | 0.247561i | ||||
\(413\) | −0.523601 | + | 5.07107i | −0.0257647 | + | 0.249531i | ||||
\(414\) | 8.65984 | + | 2.00516i | 0.425608 | + | 0.0985483i | ||||
\(415\) | −47.8443 | −2.34858 | ||||||||
\(416\) | −0.258932 | − | 1.46848i | −0.0126952 | − | 0.0719980i | ||||
\(417\) | −7.72624 | + | 1.85227i | −0.378356 | + | 0.0907062i | ||||
\(418\) | −6.18372 | + | 2.25069i | −0.302455 | + | 0.110085i | ||||
\(419\) | 2.25461 | − | 12.7865i | 0.110145 | − | 0.624662i | −0.878895 | − | 0.477015i | \(-0.841719\pi\) |
0.989040 | − | 0.147647i | \(-0.0471700\pi\) | |||||||
\(420\) | 14.2969 | − | 11.0047i | 0.697619 | − | 0.536977i | ||||
\(421\) | 5.20931 | − | 4.37113i | 0.253886 | − | 0.213036i | −0.506957 | − | 0.861971i | \(-0.669230\pi\) |
0.760844 | + | 0.648935i | \(0.224785\pi\) | |||||||
\(422\) | 10.1607 | 0.494617 | ||||||||
\(423\) | −1.43916 | + | 27.1262i | −0.0699741 | + | 1.31892i | ||||
\(424\) | 11.3679 | 0.552075 | ||||||||
\(425\) | 10.9455 | + | 62.0751i | 0.530935 | + | 3.01108i | ||||
\(426\) | −0.0342591 | − | 0.563110i | −0.00165986 | − | 0.0272828i | ||||
\(427\) | 1.93875 | + | 0.552085i | 0.0938225 | + | 0.0267173i | ||||
\(428\) | 12.7841 | − | 4.65304i | 0.617944 | − | 0.224913i | ||||
\(429\) | −4.22867 | − | 0.483177i | −0.204162 | − | 0.0233280i | ||||
\(430\) | 15.8733 | + | 5.77741i | 0.765478 | + | 0.278611i | ||||
\(431\) | 7.27375 | − | 12.5985i | 0.350364 | − | 0.606848i | −0.635949 | − | 0.771731i | \(-0.719391\pi\) |
0.986313 | + | 0.164883i | \(0.0527245\pi\) | |||||||
\(432\) | −4.00628 | − | 3.30903i | −0.192752 | − | 0.159206i | ||||
\(433\) | 9.39529 | 0.451509 | 0.225755 | − | 0.974184i | \(-0.427515\pi\) | ||||
0.225755 | + | 0.974184i | \(0.427515\pi\) | |||||||
\(434\) | −2.65466 | + | 0.190519i | −0.127428 | + | 0.00914521i | ||||
\(435\) | 15.1092 | + | 1.72641i | 0.724430 | + | 0.0827748i | ||||
\(436\) | 7.33278 | + | 6.15293i | 0.351176 | + | 0.294672i | ||||
\(437\) | −11.1182 | + | 4.04670i | −0.531856 | + | 0.193580i | ||||
\(438\) | 0.495460 | − | 0.327708i | 0.0236740 | − | 0.0156585i | ||||
\(439\) | −1.22261 | − | 6.93376i | −0.0583520 | − | 0.330930i | 0.941632 | − | 0.336645i | \(-0.109292\pi\) |
−0.999984 | + | 0.00571438i | \(0.998181\pi\) | |||||||
\(440\) | −3.24403 | − | 5.61882i | −0.154653 | − | 0.267867i | ||||
\(441\) | −8.93240 | − | 19.0056i | −0.425353 | − | 0.905028i | ||||
\(442\) | 4.47558 | − | 7.75194i | 0.212882 | − | 0.368722i | ||||
\(443\) | −5.43053 | − | 1.97655i | −0.258012 | − | 0.0939088i | 0.209776 | − | 0.977750i | \(-0.432727\pi\) |
−0.467788 | + | 0.883841i | \(0.654949\pi\) | |||||||
\(444\) | 5.68909 | − | 19.1834i | 0.269992 | − | 0.910402i | ||||
\(445\) | −20.1409 | − | 16.9002i | −0.954770 | − | 0.801147i | ||||
\(446\) | 6.14714 | − | 2.23738i | 0.291076 | − | 0.105943i | ||||
\(447\) | −12.7420 | + | 3.05475i | −0.602677 | + | 0.144485i | ||||
\(448\) | −1.48350 | − | 2.19071i | −0.0700888 | − | 0.103501i | ||||
\(449\) | 12.3215 | − | 21.3415i | 0.581488 | − | 1.00717i | −0.413815 | − | 0.910361i | \(-0.635804\pi\) |
0.995303 | − | 0.0968063i | \(-0.0308628\pi\) | |||||||
\(450\) | −31.2686 | + | 3.81885i | −1.47402 | + | 0.180022i | ||||
\(451\) | 6.63628 | 0.312490 | ||||||||
\(452\) | 1.41520 | − | 1.18749i | 0.0665653 | − | 0.0558549i | ||||
\(453\) | −2.16003 | − | 35.5040i | −0.101487 | − | 1.66812i | ||||
\(454\) | −9.98291 | − | 8.37665i | −0.468521 | − | 0.393136i | ||||
\(455\) | −11.1532 | + | 10.8101i | −0.522870 | + | 0.506784i | ||||
\(456\) | 6.87169 | + | 0.785174i | 0.321796 | + | 0.0367691i | ||||
\(457\) | −2.80407 | + | 2.35289i | −0.131169 | + | 0.110064i | −0.706012 | − | 0.708200i | \(-0.749508\pi\) |
0.574843 | + | 0.818264i | \(0.305063\pi\) | |||||||
\(458\) | 5.03578 | − | 8.72223i | 0.235307 | − | 0.407563i | ||||
\(459\) | −5.65467 | − | 30.6753i | −0.263937 | − | 1.43180i | ||||
\(460\) | −5.83270 | − | 10.1025i | −0.271951 | − | 0.471033i | ||||
\(461\) | 1.56879 | + | 8.89702i | 0.0730656 | + | 0.414376i | 0.999299 | + | 0.0374261i | \(0.0119159\pi\) |
−0.926234 | + | 0.376950i | \(0.876973\pi\) | |||||||
\(462\) | −7.19890 | + | 2.28176i | −0.334923 | + | 0.106157i | ||||
\(463\) | 15.3762 | − | 5.59649i | 0.714594 | − | 0.260091i | 0.0409649 | − | 0.999161i | \(-0.486957\pi\) |
0.673629 | + | 0.739070i | \(0.264735\pi\) | |||||||
\(464\) | 0.387255 | − | 2.19623i | 0.0179779 | − | 0.101957i | ||||
\(465\) | 6.13801 | + | 3.06277i | 0.284643 | + | 0.142033i | ||||
\(466\) | 1.46143 | − | 1.22629i | 0.0676995 | − | 0.0568066i | ||||
\(467\) | 2.72352 | − | 4.71728i | 0.126030 | − | 0.218290i | −0.796105 | − | 0.605158i | \(-0.793110\pi\) |
0.922135 | + | 0.386868i | \(0.126443\pi\) | |||||||
\(468\) | 3.75013 | + | 2.43880i | 0.173350 | + | 0.112734i | ||||
\(469\) | 33.3618 | − | 14.9269i | 1.54051 | − | 0.689261i | ||||
\(470\) | 27.3088 | − | 22.9148i | 1.25966 | − | 1.05698i | ||||
\(471\) | −11.8883 | + | 2.85008i | −0.547784 | + | 0.131325i | ||||
\(472\) | −1.47607 | − | 1.23857i | −0.0679417 | − | 0.0570098i | ||||
\(473\) | −5.41638 | − | 4.54488i | −0.249045 | − | 0.208974i | ||||
\(474\) | −6.78087 | + | 22.8648i | −0.311456 | + | 1.05021i | ||||
\(475\) | 32.1200 | − | 26.9519i | 1.47377 | − | 1.23664i | ||||
\(476\) | 1.63121 | − | 15.7983i | 0.0747665 | − | 0.724113i | ||||
\(477\) | −23.2748 | + | 24.9269i | −1.06568 | + | 1.14132i | ||||
\(478\) | −3.63951 | + | 6.30382i | −0.166468 | + | 0.288330i | ||||
\(479\) | −20.8734 | + | 17.5148i | −0.953729 | + | 0.800274i | −0.979922 | − | 0.199383i | \(-0.936106\pi\) |
0.0261924 | + | 0.999657i | \(0.491662\pi\) | |||||||
\(480\) | 0.414106 | + | 6.80657i | 0.0189013 | + | 0.310676i | ||||
\(481\) | −2.99126 | + | 16.9643i | −0.136390 | + | 0.773505i | ||||
\(482\) | 10.8972 | − | 3.96625i | 0.496353 | − | 0.180658i | ||||
\(483\) | −12.9435 | + | 4.10256i | −0.588949 | + | 0.186673i | ||||
\(484\) | −1.43855 | − | 8.15840i | −0.0653885 | − | 0.370837i | ||||
\(485\) | 10.4248 | + | 18.0563i | 0.473366 | + | 0.819893i | ||||
\(486\) | 15.4584 | − | 2.00980i | 0.701205 | − | 0.0911662i | ||||
\(487\) | −16.3844 | + | 28.3786i | −0.742448 | + | 1.28596i | 0.208930 | + | 0.977931i | \(0.433002\pi\) |
−0.951378 | + | 0.308027i | \(0.900331\pi\) | |||||||
\(488\) | −0.583656 | + | 0.489745i | −0.0264209 | + | 0.0221697i | ||||
\(489\) | −1.19772 | − | 2.75700i | −0.0541628 | − | 0.124676i | ||||
\(490\) | −10.2302 | + | 25.5902i | −0.462154 | + | 1.15605i | ||||
\(491\) | 4.38515 | + | 3.67958i | 0.197899 | + | 0.166057i | 0.736352 | − | 0.676598i | \(-0.236547\pi\) |
−0.538453 | + | 0.842655i | \(0.680991\pi\) | |||||||
\(492\) | −6.24112 | − | 3.11422i | −0.281371 | − | 0.140400i | ||||
\(493\) | 10.2552 | − | 8.60514i | 0.461871 | − | 0.387556i | ||||
\(494\) | −5.95437 | −0.267900 | ||||||||
\(495\) | 18.9625 | + | 4.39070i | 0.852299 | + | 0.197348i | ||||
\(496\) | 0.502974 | − | 0.871176i | 0.0225842 | − | 0.0391170i | ||||
\(497\) | 0.483195 | + | 0.713544i | 0.0216743 | + | 0.0320068i | ||||
\(498\) | −14.4839 | − | 15.2727i | −0.649039 | − | 0.684386i | ||||
\(499\) | 6.69966 | − | 2.43848i | 0.299918 | − | 0.109161i | −0.187678 | − | 0.982231i | \(-0.560096\pi\) |
0.487596 | + | 0.873069i | \(0.337874\pi\) | |||||||
\(500\) | 16.5887 | + | 13.9196i | 0.741868 | + | 0.622501i | ||||
\(501\) | −0.930109 | − | 0.980763i | −0.0415542 | − | 0.0438173i | ||||
\(502\) | 12.4349 | + | 4.52592i | 0.554995 | + | 0.202002i | ||||
\(503\) | −11.8867 | + | 20.5883i | −0.530001 | + | 0.917989i | 0.469386 | + | 0.882993i | \(0.344475\pi\) |
−0.999387 | + | 0.0349962i | \(0.988858\pi\) | |||||||
\(504\) | 7.84100 | + | 1.23235i | 0.349266 | + | 0.0548933i | ||||
\(505\) | −20.4422 | − | 35.4069i | −0.909664 | − | 1.57558i | ||||
\(506\) | 0.847898 | + | 4.80867i | 0.0376937 | + | 0.213771i | ||||
\(507\) | 16.7017 | + | 8.33388i | 0.741749 | + | 0.370121i | ||||
\(508\) | 9.02520 | − | 3.28491i | 0.400429 | − | 0.145744i | ||||
\(509\) | 26.0114 | + | 21.8262i | 1.15294 | + | 0.967429i | 0.999784 | − | 0.0207735i | \(-0.00661289\pi\) |
0.153153 | + | 0.988203i | \(0.451057\pi\) | |||||||
\(510\) | −24.3597 | + | 32.8980i | −1.07866 | + | 1.45675i | ||||
\(511\) | −0.396283 | + | 0.816291i | −0.0175305 | + | 0.0361106i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −15.7908 | + | 13.4603i | −0.697183 | + | 0.594286i | ||||
\(514\) | −8.40064 | + | 14.5503i | −0.370537 | + | 0.641788i | ||||
\(515\) | −54.3545 | − | 19.7834i | −2.39514 | − | 0.871761i | ||||
\(516\) | 2.96107 | + | 6.81601i | 0.130354 | + | 0.300058i | ||||
\(517\) | −14.0219 | + | 5.10356i | −0.616684 | + | 0.224455i | ||||
\(518\) | 7.44854 | + | 29.6430i | 0.327270 | + | 1.30244i | ||||
\(519\) | 21.7393 | + | 10.8476i | 0.954249 | + | 0.476155i | ||||
\(520\) | −1.01943 | − | 5.78146i | −0.0447049 | − | 0.253534i | ||||
\(521\) | 23.9856 | 1.05083 | 0.525414 | − | 0.850847i | \(-0.323911\pi\) | ||||
0.525414 | + | 0.850847i | \(0.323911\pi\) | |||||||
\(522\) | 4.02290 | + | 5.34573i | 0.176078 | + | 0.233976i | ||||
\(523\) | −34.1029 | −1.49122 | −0.745608 | − | 0.666385i | \(-0.767841\pi\) | ||||
−0.745608 | + | 0.666385i | \(0.767841\pi\) | |||||||
\(524\) | −10.0888 | + | 8.46551i | −0.440731 | + | 0.369817i | ||||
\(525\) | 38.1307 | − | 29.3503i | 1.66416 | − | 1.28095i | ||||
\(526\) | 0.796803 | − | 4.51890i | 0.0347423 | − | 0.197033i | ||||
\(527\) | 5.67446 | − | 2.06534i | 0.247184 | − | 0.0899674i | ||||
\(528\) | 0.811556 | − | 2.73653i | 0.0353185 | − | 0.119092i | ||||
\(529\) | −2.46940 | − | 14.0047i | −0.107365 | − | 0.608899i | ||||
\(530\) | 44.7560 | 1.94408 | ||||||||
\(531\) | 5.73799 | − | 0.700782i | 0.249007 | − | 0.0304114i | ||||
\(532\) | −9.64370 | + | 4.31484i | −0.418108 | + | 0.187072i | ||||
\(533\) | 5.64264 | + | 2.05375i | 0.244410 | + | 0.0889579i | ||||
\(534\) | −0.702419 | − | 11.5455i | −0.0303966 | − | 0.499623i | ||||
\(535\) | 50.3317 | − | 18.3192i | 2.17603 | − | 0.792009i | ||||
\(536\) | −2.39881 | + | 13.6043i | −0.103613 | + | 0.587618i | ||||
\(537\) | −16.4825 | − | 37.9406i | −0.711273 | − | 1.63726i | ||||
\(538\) | −3.59849 | − | 20.4081i | −0.155142 | − | 0.879854i | ||||
\(539\) | 7.68740 | − | 8.60088i | 0.331120 | − | 0.370466i | ||||
\(540\) | −15.7729 | − | 13.0278i | −0.678758 | − | 0.560628i | ||||
\(541\) | −2.94791 | − | 5.10593i | −0.126740 | − | 0.219521i | 0.795671 | − | 0.605728i | \(-0.207118\pi\) |
−0.922412 | + | 0.386208i | \(0.873785\pi\) | |||||||
\(542\) | 7.41839 | + | 2.70007i | 0.318647 | + | 0.115978i | ||||
\(543\) | −17.4858 | − | 40.2500i | −0.750387 | − | 1.72729i | ||||
\(544\) | 4.59851 | + | 3.85861i | 0.197160 | + | 0.165437i | ||||
\(545\) | 28.8695 | + | 24.2244i | 1.23663 | + | 1.03766i | ||||
\(546\) | −6.82716 | − | 0.287755i | −0.292176 | − | 0.0123148i | ||||
\(547\) | 25.5550 | + | 9.30125i | 1.09265 | + | 0.397693i | 0.824602 | − | 0.565713i | \(-0.191399\pi\) |
0.268049 | + | 0.963405i | \(0.413621\pi\) | |||||||
\(548\) | −9.76278 | + | 16.9096i | −0.417045 | + | 0.722343i | ||||
\(549\) | 0.121097 | − | 2.28252i | 0.00516828 | − | 0.0974154i | ||||
\(550\) | −8.65200 | − | 14.9857i | −0.368922 | − | 0.638992i | ||||
\(551\) | −8.36820 | − | 3.04578i | −0.356497 | − | 0.129754i | ||||
\(552\) | 1.45916 | − | 4.92023i | 0.0621061 | − | 0.209419i | ||||
\(553\) | −8.87797 | − | 35.3317i | −0.377530 | − | 1.50246i | ||||
\(554\) | −0.729812 | + | 4.13897i | −0.0310067 | + | 0.175848i | ||||
\(555\) | 22.3982 | − | 75.5257i | 0.950751 | − | 3.20589i | ||||
\(556\) | 0.796550 | + | 4.51746i | 0.0337812 | + | 0.191583i | ||||
\(557\) | 17.2425 | + | 29.8650i | 0.730590 | + | 1.26542i | 0.956631 | + | 0.291301i | \(0.0940882\pi\) |
−0.226042 | + | 0.974118i | \(0.572579\pi\) | |||||||
\(558\) | 0.880472 | + | 2.88655i | 0.0372733 | + | 0.122197i | ||||
\(559\) | −3.19887 | − | 5.54061i | −0.135298 | − | 0.234343i | ||||
\(560\) | −5.84061 | − | 8.62493i | −0.246811 | − | 0.364470i | ||||
\(561\) | 14.2912 | − | 9.45249i | 0.603373 | − | 0.399084i | ||||
\(562\) | 1.43301 | − | 8.12702i | 0.0604480 | − | 0.342818i | ||||
\(563\) | −2.86326 | + | 16.2384i | −0.120672 | + | 0.684365i | 0.863113 | + | 0.505012i | \(0.168512\pi\) |
−0.983785 | + | 0.179354i | \(0.942599\pi\) | |||||||
\(564\) | 15.5820 | + | 1.78043i | 0.656118 | + | 0.0749695i | ||||
\(565\) | 5.57170 | − | 4.67521i | 0.234403 | − | 0.196688i | ||||
\(566\) | −13.8682 | −0.582925 | ||||||||
\(567\) | −18.7560 | + | 14.6702i | −0.787676 | + | 0.616089i | ||||
\(568\) | −0.325713 | −0.0136666 | ||||||||
\(569\) | 11.9495 | − | 10.0268i | 0.500949 | − | 0.420346i | −0.356982 | − | 0.934111i | \(-0.616194\pi\) |
0.857931 | + | 0.513765i | \(0.171750\pi\) | |||||||
\(570\) | 27.0542 | + | 3.09126i | 1.13317 | + | 0.129479i | ||||
\(571\) | −3.48176 | + | 19.7461i | −0.145707 | + | 0.826347i | 0.821089 | + | 0.570800i | \(0.193367\pi\) |
−0.966797 | + | 0.255547i | \(0.917744\pi\) | |||||||
\(572\) | −0.426707 | + | 2.41998i | −0.0178415 | + | 0.101184i | ||||
\(573\) | 35.3683 | − | 23.3934i | 1.47753 | − | 0.977273i | ||||
\(574\) | 10.6271 | − | 0.762682i | 0.443566 | − | 0.0318337i | ||||
\(575\) | −15.5561 | − | 26.9440i | −0.648736 | − | 1.12364i | ||||
\(576\) | −2.04741 | + | 2.19274i | −0.0853087 | + | 0.0913642i | ||||
\(577\) | 16.2379 | + | 28.1249i | 0.675995 | + | 1.17086i | 0.976177 | + | 0.216975i | \(0.0696191\pi\) |
−0.300183 | + | 0.953882i | \(0.597048\pi\) | |||||||
\(578\) | 3.30543 | + | 18.7460i | 0.137488 | + | 0.779732i | ||||
\(579\) | −6.84717 | + | 23.0883i | −0.284559 | + | 0.959519i | ||||
\(580\) | 1.52464 | − | 8.64666i | 0.0633072 | − | 0.359033i | ||||
\(581\) | 30.9227 | + | 8.80568i | 1.28289 | + | 0.365321i | ||||
\(582\) | −2.60797 | + | 8.79394i | −0.108104 | + | 0.364521i | ||||
\(583\) | −17.6040 | − | 6.40732i | −0.729082 | − | 0.265364i | ||||
\(584\) | −0.171482 | − | 0.297016i | −0.00709598 | − | 0.0122906i | ||||
\(585\) | 14.7644 | + | 9.60167i | 0.610434 | + | 0.396980i | ||||
\(586\) | 2.35908 | − | 4.08604i | 0.0974526 | − | 0.168793i | ||||
\(587\) | −10.5599 | − | 3.84350i | −0.435855 | − | 0.158638i | 0.114768 | − | 0.993392i | \(-0.463387\pi\) |
−0.550623 | + | 0.834754i | \(0.685610\pi\) | |||||||
\(588\) | −11.2658 | + | 4.48126i | −0.464594 | + | 0.184804i | ||||
\(589\) | −3.07715 | − | 2.58204i | −0.126792 | − | 0.106391i | ||||
\(590\) | −5.81136 | − | 4.87631i | −0.239250 | − | 0.200754i | ||||
\(591\) | −8.58700 | − | 19.7662i | −0.353222 | − | 0.813071i | ||||
\(592\) | −10.8556 | − | 3.95112i | −0.446163 | − | 0.162390i | ||||
\(593\) | −16.0355 | − | 27.7743i | −0.658498 | − | 1.14055i | −0.981004 | − | 0.193985i | \(-0.937859\pi\) |
0.322506 | − | 0.946567i | \(-0.395475\pi\) | |||||||
\(594\) | 4.33892 | + | 7.38233i | 0.178028 | + | 0.302901i | ||||
\(595\) | 6.42215 | − | 62.1985i | 0.263283 | − | 2.54989i | ||||
\(596\) | 1.31366 | + | 7.45014i | 0.0538096 | + | 0.305169i | ||||
\(597\) | 13.2765 | + | 30.5608i | 0.543372 | + | 1.25077i | ||||
\(598\) | −0.767212 | + | 4.35108i | −0.0313736 | + | 0.177929i | ||||
\(599\) | 30.0687 | − | 10.9441i | 1.22857 | − | 0.447164i | 0.355464 | − | 0.934690i | \(-0.384323\pi\) |
0.873108 | + | 0.487526i | \(0.162101\pi\) | |||||||
\(600\) | 1.10444 | + | 18.1535i | 0.0450888 | + | 0.741114i | ||||
\(601\) | 23.5574 | + | 8.57420i | 0.960928 | + | 0.349749i | 0.774397 | − | 0.632700i | \(-0.218053\pi\) |
0.186531 | + | 0.982449i | \(0.440276\pi\) | |||||||
\(602\) | −9.19591 | − | 6.65551i | −0.374797 | − | 0.271258i | ||||
\(603\) | −24.9194 | − | 33.1136i | −1.01480 | − | 1.34849i | ||||
\(604\) | −20.5361 | −0.835604 | ||||||||
\(605\) | −5.66362 | − | 32.1200i | −0.230259 | − | 1.30586i | ||||
\(606\) | 5.11400 | − | 17.2442i | 0.207742 | − | 0.700497i | ||||
\(607\) | −8.92003 | + | 3.24663i | −0.362053 | + | 0.131776i | −0.516640 | − | 0.856203i | \(-0.672817\pi\) |
0.154587 | + | 0.987979i | \(0.450595\pi\) | |||||||
\(608\) | 0.693410 | − | 3.93252i | 0.0281215 | − | 0.159485i | ||||
\(609\) | −9.44762 | − | 3.89664i | −0.382837 | − | 0.157900i | ||||
\(610\) | −2.29788 | + | 1.92815i | −0.0930384 | + | 0.0780685i | ||||
\(611\) | −13.5019 | −0.546227 | ||||||||
\(612\) | −17.8760 | + | 2.18320i | −0.722594 | + | 0.0882506i | ||||
\(613\) | −4.39195 | −0.177389 | −0.0886945 | − | 0.996059i | \(-0.528269\pi\) | ||||
−0.0886945 | + | 0.996059i | \(0.528269\pi\) | |||||||
\(614\) | −3.45718 | − | 19.6067i | −0.139521 | − | 0.791260i | ||||
\(615\) | −24.5716 | − | 12.2608i | −0.990821 | − | 0.494404i | ||||
\(616\) | 1.06254 | + | 4.22861i | 0.0428111 | + | 0.170376i | ||||
\(617\) | 6.80897 | − | 2.47826i | 0.274119 | − | 0.0997710i | −0.201303 | − | 0.979529i | \(-0.564518\pi\) |
0.475422 | + | 0.879758i | \(0.342295\pi\) | |||||||
\(618\) | −10.1395 | − | 23.3399i | −0.407871 | − | 0.938867i | ||||
\(619\) | −4.08391 | − | 1.48642i | −0.164146 | − | 0.0597443i | 0.258640 | − | 0.965974i | \(-0.416726\pi\) |
−0.422786 | + | 0.906229i | \(0.638948\pi\) | |||||||
\(620\) | 1.98023 | − | 3.42986i | 0.0795280 | − | 0.137746i | ||||
\(621\) | 7.80129 | + | 13.2733i | 0.313055 | + | 0.532639i | ||||
\(622\) | −13.4494 | −0.539270 | ||||||||
\(623\) | 9.90701 | + | 14.6299i | 0.396916 | + | 0.586133i | ||||
\(624\) | 1.53693 | − | 2.07564i | 0.0615263 | − | 0.0830920i | ||||
\(625\) | 25.0918 | + | 21.0545i | 1.00367 | + | 0.842181i | ||||
\(626\) | −9.21049 | + | 3.35234i | −0.368125 | + | 0.133987i | ||||
\(627\) | −10.1987 | − | 5.08900i | −0.407298 | − | 0.203235i | ||||
\(628\) | 1.22564 | + | 6.95097i | 0.0489085 | + | 0.277374i | ||||
\(629\) | −34.6738 | − | 60.0569i | −1.38254 | − | 2.39462i | ||||
\(630\) | 30.8704 | + | 4.85182i | 1.22990 | + | 0.193301i | ||||
\(631\) | 6.75224 | − | 11.6952i | 0.268802 | − | 0.465579i | −0.699750 | − | 0.714387i | \(-0.746705\pi\) |
0.968553 | + | 0.248808i | \(0.0800388\pi\) | |||||||
\(632\) | 12.9389 | + | 4.70937i | 0.514681 | + | 0.187329i | ||||
\(633\) | 12.1102 | + | 12.7697i | 0.481336 | + | 0.507550i | ||||
\(634\) | −24.8425 | − | 20.8454i | −0.986623 | − | 0.827875i | ||||
\(635\) | 35.5326 | − | 12.9328i | 1.41007 | − | 0.513223i | ||||
\(636\) | 13.5490 | + | 14.2869i | 0.537252 | + | 0.566511i | ||||
\(637\) | 9.19812 | − | 4.93404i | 0.364443 | − | 0.195494i | ||||
\(638\) | −1.83756 | + | 3.18274i | −0.0727496 | + | 0.126006i | ||||
\(639\) | 0.666867 | − | 0.714204i | 0.0263809 | − | 0.0282535i | ||||
\(640\) | 3.93704 | 0.155625 | ||||||||
\(641\) | 33.1873 | − | 27.8475i | 1.31082 | − | 1.09991i | 0.322655 | − | 0.946517i | \(-0.395425\pi\) |
0.988165 | − | 0.153393i | \(-0.0490199\pi\) | |||||||
\(642\) | 21.0847 | + | 10.5209i | 0.832146 | + | 0.415228i | ||||
\(643\) | −22.2887 | − | 18.7024i | −0.878979 | − | 0.737551i | 0.0869902 | − | 0.996209i | \(-0.472275\pi\) |
−0.965969 | + | 0.258659i | \(0.916720\pi\) | |||||||
\(644\) | 1.91043 | + | 7.60297i | 0.0752816 | + | 0.299599i | ||||
\(645\) | 11.6579 | + | 26.8349i | 0.459028 | + | 1.05662i | ||||
\(646\) | 18.3627 | − | 15.4082i | 0.722472 | − | 0.606226i | ||||
\(647\) | −19.7654 | + | 34.2347i | −0.777058 | + | 1.34590i | 0.156572 | + | 0.987667i | \(0.449956\pi\) |
−0.933630 | + | 0.358238i | \(0.883378\pi\) | |||||||
\(648\) | −0.616235 | − | 8.97888i | −0.0242080 | − | 0.352724i | ||||
\(649\) | 1.58770 | + | 2.74997i | 0.0623225 | + | 0.107946i | ||||
\(650\) | −2.71887 | − | 15.4195i | −0.106643 | − | 0.604802i | ||||
\(651\) | −3.40342 | − | 3.10922i | −0.133391 | − | 0.121860i | ||||
\(652\) | −1.63081 | + | 0.593565i | −0.0638674 | + | 0.0232458i | ||||
\(653\) | −4.14180 | + | 23.4893i | −0.162081 | + | 0.919208i | 0.789942 | + | 0.613182i | \(0.210111\pi\) |
−0.952023 | + | 0.306026i | \(0.901000\pi\) | |||||||
\(654\) | 1.00683 | + | 16.5490i | 0.0393702 | + | 0.647119i | ||||
\(655\) | −39.7200 | + | 33.3291i | −1.55199 | + | 1.30227i | ||||
\(656\) | −2.01349 | + | 3.48747i | −0.0786137 | + | 0.136163i | ||||
\(657\) | 1.00237 | + | 0.232097i | 0.0391063 | + | 0.00905495i | ||||
\(658\) | −21.8676 | + | 9.78414i | −0.852490 | + | 0.381425i | ||||
\(659\) | 2.79688 | − | 2.34686i | 0.108951 | − | 0.0914208i | −0.586685 | − | 0.809815i | \(-0.699567\pi\) |
0.695636 | + | 0.718395i | \(0.255123\pi\) | |||||||
\(660\) | 3.19513 | − | 10.7738i | 0.124370 | − | 0.419371i | ||||
\(661\) | −28.1784 | − | 23.6445i | −1.09601 | − | 0.919665i | −0.0988633 | − | 0.995101i | \(-0.531521\pi\) |
−0.997151 | + | 0.0754361i | \(0.975965\pi\) | |||||||
\(662\) | −7.69589 | − | 6.45762i | −0.299109 | − | 0.250983i | ||||
\(663\) | 15.0767 | − | 3.61445i | 0.585529 | − | 0.140374i | ||||
\(664\) | −9.30923 | + | 7.81137i | −0.361268 | + | 0.303140i | ||||
\(665\) | −37.9677 | + | 16.9877i | −1.47232 | + | 0.658755i | ||||
\(666\) | 30.8897 | − | 15.7140i | 1.19695 | − | 0.608905i | ||||
\(667\) | −3.30389 | + | 5.72251i | −0.127927 | + | 0.221577i | ||||
\(668\) | −0.597809 | + | 0.501622i | −0.0231299 | + | 0.0194083i | ||||
\(669\) | 10.1384 | + | 5.05890i | 0.391973 | + | 0.195588i | ||||
\(670\) | −9.44422 | + | 53.5608i | −0.364862 | + | 2.06924i | ||||
\(671\) | 1.17987 | − | 0.429436i | 0.0455482 | − | 0.0165782i | ||||
\(672\) | 0.985096 | − | 4.47544i | 0.0380009 | − | 0.172644i | ||||
\(673\) | 0.548582 | + | 3.11116i | 0.0211463 | + | 0.119927i | 0.993554 | − | 0.113363i | \(-0.0361622\pi\) |
−0.972407 | + | 0.233289i | \(0.925051\pi\) | |||||||
\(674\) | 10.9031 | + | 18.8848i | 0.419973 | + | 0.727414i | ||||
\(675\) | −42.0672 | − | 34.7459i | −1.61917 | − | 1.33737i | ||||
\(676\) | 5.38826 | − | 9.33275i | 0.207241 | − | 0.358952i | ||||
\(677\) | 13.1853 | − | 11.0638i | 0.506753 | − | 0.425217i | −0.353232 | − | 0.935536i | \(-0.614917\pi\) |
0.859985 | + | 0.510319i | \(0.170473\pi\) | |||||||
\(678\) | 3.17912 | + | 0.363253i | 0.122093 | + | 0.0139507i | ||||
\(679\) | −3.41452 | − | 13.5888i | −0.131037 | − | 0.521491i | ||||
\(680\) | 18.1046 | + | 15.1915i | 0.694278 | + | 0.582568i | ||||
\(681\) | −1.37071 | − | 22.5300i | −0.0525256 | − | 0.863352i | ||||
\(682\) | −1.26991 | + | 1.06558i | −0.0486274 | + | 0.0408033i | ||||
\(683\) | 40.9382 | 1.56646 | 0.783228 | − | 0.621735i | \(-0.213572\pi\) | ||||
0.783228 | + | 0.621735i | \(0.213572\pi\) | |||||||
\(684\) | 7.20331 | + | 9.57195i | 0.275426 | + | 0.365993i | ||||
\(685\) | −38.4365 | + | 66.5739i | −1.46858 | + | 2.54366i | ||||
\(686\) | 11.3218 | − | 14.6566i | 0.432270 | − | 0.559592i | ||||
\(687\) | 16.9638 | − | 4.06686i | 0.647209 | − | 0.155161i | ||||
\(688\) | 4.03178 | − | 1.46745i | 0.153710 | − | 0.0559459i | ||||
\(689\) | −12.9853 | − | 10.8959i | −0.494699 | − | 0.415102i | ||||
\(690\) | 5.74479 | − | 19.3712i | 0.218700 | − | 0.737448i | ||||
\(691\) | 26.2119 | + | 9.54036i | 0.997149 | + | 0.362933i | 0.788484 | − | 0.615055i | \(-0.210866\pi\) |
0.208665 | + | 0.977987i | \(0.433088\pi\) | |||||||
\(692\) | 7.01348 | − | 12.1477i | 0.266612 | − | 0.461786i | ||||
\(693\) | −11.4477 | − | 6.32782i | −0.434863 | − | 0.240374i | ||||
\(694\) | 11.8500 | + | 20.5249i | 0.449821 | + | 0.779113i | ||||
\(695\) | 3.13605 | + | 17.7854i | 0.118957 | + | 0.674640i | ||||
\(696\) | 3.22171 | − | 2.13091i | 0.122119 | − | 0.0807720i | ||||
\(697\) | −22.7159 | + | 8.26791i | −0.860426 | + | 0.313169i | ||||
\(698\) | 4.25718 | + | 3.57220i | 0.161137 | + | 0.135210i | ||||
\(699\) | 3.28298 | + | 0.375120i | 0.124174 | + | 0.0141883i | ||||
\(700\) | −15.5772 | − | 23.0032i | −0.588764 | − | 0.869438i | ||||
\(701\) | −3.10143 | −0.117139 | −0.0585697 | − | 0.998283i | \(-0.518654\pi\) | ||||
−0.0585697 | + | 0.998283i | \(0.518654\pi\) | |||||||
\(702\) | 1.40462 | + | 7.61976i | 0.0530140 | + | 0.287589i | ||||
\(703\) | −23.0652 | + | 39.9502i | −0.869922 | + | 1.50675i | ||||
\(704\) | −1.54857 | − | 0.563632i | −0.0583638 | − | 0.0212427i | ||||
\(705\) | 61.3468 | + | 7.00961i | 2.31045 | + | 0.263997i | ||||
\(706\) | 3.36025 | − | 1.22303i | 0.126465 | − | 0.0460293i | ||||
\(707\) | 6.69559 | + | 26.6465i | 0.251814 | + | 1.00215i | ||||
\(708\) | −0.202673 | − | 3.33128i | −0.00761690 | − | 0.125197i | ||||
\(709\) | −5.76735 | − | 32.7082i | −0.216597 | − | 1.22838i | −0.878113 | − | 0.478453i | \(-0.841198\pi\) |
0.661516 | − | 0.749931i | \(-0.269913\pi\) | |||||||
\(710\) | −1.28235 | −0.0481256 | ||||||||
\(711\) | −36.8176 | + | 18.7296i | −1.38077 | + | 0.702416i | ||||
\(712\) | −6.67813 | −0.250273 | ||||||||
\(713\) | −2.28328 | + | 1.91590i | −0.0855094 | + | 0.0717509i | ||||
\(714\) | 21.7990 | − | 16.7793i | 0.815806 | − | 0.627949i | ||||
\(715\) | −1.67997 | + | 9.52756i | −0.0628272 | + | 0.356311i | ||||
\(716\) | −22.4425 | + | 8.16840i | −0.838715 | + | 0.305267i | ||||
\(717\) | −12.2602 | + | 2.93925i | −0.457867 | + | 0.109768i | ||||
\(718\) | 1.83647 | + | 10.4151i | 0.0685363 | + | 0.388689i | ||||
\(719\) | −1.66693 | −0.0621659 | −0.0310829 | − | 0.999517i | \(-0.509896\pi\) | ||||
−0.0310829 | + | 0.999517i | \(0.509896\pi\) | |||||||
\(720\) | −8.06074 | + | 8.63292i | −0.300406 | + | 0.321730i | ||||
\(721\) | 31.4893 | + | 22.7903i | 1.17272 | + | 0.848754i | ||||
\(722\) | 2.87025 | + | 1.04468i | 0.106819 | + | 0.0388791i | ||||
\(723\) | 17.9726 | + | 8.96803i | 0.668407 | + | 0.333525i | ||||
\(724\) | −23.8085 | + | 8.66559i | −0.884837 | + | 0.322054i | ||||
\(725\) | 4.06630 | − | 23.0611i | 0.151019 | − | 0.856468i | ||||
\(726\) | 8.53869 | − | 11.5316i | 0.316900 | − | 0.427978i | ||||
\(727\) | 3.81640 | + | 21.6439i | 0.141543 | + | 0.802728i | 0.970078 | + | 0.242792i | \(0.0780632\pi\) |
−0.828536 | + | 0.559936i | \(0.810826\pi\) | |||||||
\(728\) | −0.405194 | + | 3.92430i | −0.0150175 | + | 0.145444i | ||||
\(729\) | 20.9500 | + | 17.0322i | 0.775928 | + | 0.630822i | ||||
\(730\) | −0.675133 | − | 1.16936i | −0.0249878 | − | 0.0432801i | ||||
\(731\) | 24.2025 | + | 8.80899i | 0.895162 | + | 0.325812i | ||||
\(732\) | −1.31113 | − | 0.149813i | −0.0484609 | − | 0.00553724i | ||||
\(733\) | −36.2119 | − | 30.3854i | −1.33752 | − | 1.12231i | −0.982256 | − | 0.187544i | \(-0.939947\pi\) |
−0.355262 | − | 0.934767i | \(-0.615608\pi\) | |||||||
\(734\) | 7.35091 | + | 6.16815i | 0.271327 | + | 0.227671i | ||||
\(735\) | −44.3540 | + | 17.6429i | −1.63602 | + | 0.650769i | ||||
\(736\) | −2.78429 | − | 1.01340i | −0.102630 | − | 0.0373544i | ||||
\(737\) | 11.3826 | − | 19.7152i | 0.419282 | − | 0.726217i | ||||
\(738\) | −3.52469 | − | 11.5554i | −0.129745 | − | 0.425359i | ||||
\(739\) | −13.2412 | − | 22.9344i | −0.487084 | − | 0.843654i | 0.512806 | − | 0.858505i | \(-0.328606\pi\) |
−0.999890 | + | 0.0148505i | \(0.995273\pi\) | |||||||
\(740\) | −42.7390 | − | 15.5557i | −1.57112 | − | 0.571840i | ||||
\(741\) | −7.09677 | − | 7.48327i | −0.260706 | − | 0.274905i | ||||
\(742\) | −28.9267 | − | 8.23728i | −1.06193 | − | 0.302400i | ||||
\(743\) | −0.664390 | + | 3.76794i | −0.0243741 | + | 0.138232i | −0.994566 | − | 0.104104i | \(-0.966803\pi\) |
0.970192 | + | 0.242336i | \(0.0779137\pi\) | |||||||
\(744\) | 1.69434 | − | 0.406198i | 0.0621176 | − | 0.0148919i | ||||
\(745\) | 5.17194 | + | 29.3315i | 0.189485 | + | 1.07462i | ||||
\(746\) | 15.0753 | + | 26.1112i | 0.551945 | + | 0.955998i | ||||
\(747\) | 1.93148 | − | 36.4058i | 0.0706691 | − | 1.33202i | ||||
\(748\) | −4.94627 | − | 8.56719i | −0.180853 | − | 0.313247i | ||||
\(749\) | −35.9020 | + | 2.57661i | −1.31183 | + | 0.0941472i | ||||
\(750\) | 2.27771 | + | 37.4383i | 0.0831704 | + | 1.36705i | ||||
\(751\) | −3.12695 | + | 17.7338i | −0.114104 | + | 0.647117i | 0.873086 | + | 0.487567i | \(0.162115\pi\) |
−0.987190 | + | 0.159550i | \(0.948996\pi\) | |||||||
\(752\) | 1.57235 | − | 8.91722i | 0.0573376 | − | 0.325177i | ||||
\(753\) | 9.13258 | + | 21.0220i | 0.332810 | + | 0.766085i | ||||
\(754\) | −2.54740 | + | 2.13752i | −0.0927707 | + | 0.0778439i | ||||
\(755\) | −80.8517 | −2.94249 | ||||||||
\(756\) | 7.79660 | + | 11.3231i | 0.283559 | + | 0.411818i | ||||
\(757\) | 7.06319 | 0.256716 | 0.128358 | − | 0.991728i | \(-0.459029\pi\) | ||||
0.128358 | + | 0.991728i | \(0.459029\pi\) | |||||||
\(758\) | −3.04927 | + | 2.55864i | −0.110755 | + | 0.0929341i | ||||
\(759\) | −5.03281 | + | 6.79687i | −0.182679 | + | 0.246711i | ||||
\(760\) | 2.72998 | − | 15.4825i | 0.0990270 | − | 0.561610i | ||||
\(761\) | 2.97048 | − | 16.8465i | 0.107680 | − | 0.610684i | −0.882436 | − | 0.470433i | \(-0.844098\pi\) |
0.990116 | − | 0.140251i | \(-0.0447910\pi\) | |||||||
\(762\) | 14.8851 | + | 7.42745i | 0.539232 | + | 0.269068i | ||||
\(763\) | −14.2005 | − | 20.9701i | −0.514091 | − | 0.759168i | ||||
\(764\) | −12.2412 | − | 21.2024i | −0.442872 | − | 0.767076i | ||||
\(765\) | −70.3785 | + | 8.59535i | −2.54454 | + | 0.310766i | ||||
\(766\) | −1.73073 | − | 2.99771i | −0.0625337 | − | 0.108312i | ||||
\(767\) | 0.498930 | + | 2.82957i | 0.0180153 | + | 0.102170i | ||||
\(768\) | 1.19186 | + | 1.25677i | 0.0430075 | + | 0.0453498i | ||||
\(769\) | −4.29109 | + | 24.3360i | −0.154741 | + | 0.877578i | 0.804282 | + | 0.594248i |