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 | 79.3 | ||
Character | \(\chi\) | \(=\) | 378.79 |
Dual form | 378.2.v.b.67.3 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 | ||||
\(3\) | −1.42742 | − | 0.981051i | −0.824124 | − | 0.566410i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.343656 | + | 1.94897i | 0.153688 | + | 0.871606i | 0.959976 | + | 0.280083i | \(0.0903621\pi\) |
−0.806288 | + | 0.591523i | \(0.798527\pi\) | |||||||
\(6\) | −0.462863 | − | 1.66906i | −0.188963 | − | 0.681390i | ||||
\(7\) | 1.84248 | − | 1.89876i | 0.696391 | − | 0.717662i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 1.07508 | + | 2.80075i | 0.358360 | + | 0.933584i | ||||
\(10\) | −0.989519 | + | 1.71390i | −0.312913 | + | 0.541982i | ||||
\(11\) | 0.568823 | − | 3.22596i | 0.171507 | − | 0.972663i | −0.770592 | − | 0.637328i | \(-0.780040\pi\) |
0.942099 | − | 0.335335i | \(-0.108849\pi\) | |||||||
\(12\) | 0.718277 | − | 1.57610i | 0.207349 | − | 0.454980i | ||||
\(13\) | 1.17085 | + | 6.64020i | 0.324734 | + | 1.84166i | 0.511537 | + | 0.859261i | \(0.329076\pi\) |
−0.186803 | + | 0.982397i | \(0.559813\pi\) | |||||||
\(14\) | 2.63192 | − | 0.270209i | 0.703409 | − | 0.0722165i | ||||
\(15\) | 1.42150 | − | 3.11915i | 0.367029 | − | 0.805362i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 0.298584 | − | 0.517162i | 0.0724172 | − | 0.125430i | −0.827543 | − | 0.561402i | \(-0.810262\pi\) |
0.899960 | + | 0.435972i | \(0.143595\pi\) | |||||||
\(18\) | −0.976729 | + | 2.83655i | −0.230217 | + | 0.668581i | ||||
\(19\) | 4.15869 | + | 7.20307i | 0.954070 | + | 1.65250i | 0.736483 | + | 0.676456i | \(0.236485\pi\) |
0.217586 | + | 0.976041i | \(0.430182\pi\) | |||||||
\(20\) | −1.85969 | + | 0.676871i | −0.415839 | + | 0.151353i | ||||
\(21\) | −4.49277 | + | 0.902766i | −0.980404 | + | 0.197000i | ||||
\(22\) | 2.50935 | − | 2.10559i | 0.534995 | − | 0.448914i | ||||
\(23\) | 0.380241 | − | 0.319060i | 0.0792857 | − | 0.0665286i | −0.602283 | − | 0.798282i | \(-0.705742\pi\) |
0.681569 | + | 0.731754i | \(0.261298\pi\) | |||||||
\(24\) | 1.56333 | − | 0.745660i | 0.319113 | − | 0.152207i | ||||
\(25\) | 1.01807 | − | 0.370549i | 0.203615 | − | 0.0741097i | ||||
\(26\) | −3.37132 | + | 5.83929i | −0.661169 | + | 1.14518i | ||||
\(27\) | 1.21308 | − | 5.05257i | 0.233458 | − | 0.972367i | ||||
\(28\) | 2.18985 | + | 1.48477i | 0.413843 | + | 0.280595i | ||||
\(29\) | 0.221437 | − | 1.25583i | 0.0411198 | − | 0.233202i | −0.957321 | − | 0.289028i | \(-0.906668\pi\) |
0.998441 | + | 0.0558258i | \(0.0177792\pi\) | |||||||
\(30\) | 3.09388 | − | 1.47569i | 0.564863 | − | 0.269423i | ||||
\(31\) | −0.261547 | − | 1.48331i | −0.0469753 | − | 0.266410i | 0.952270 | − | 0.305257i | \(-0.0987425\pi\) |
−0.999245 | + | 0.0388474i | \(0.987631\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | −3.97678 | + | 4.04677i | −0.692269 | + | 0.704452i | ||||
\(34\) | 0.561154 | − | 0.204243i | 0.0962371 | − | 0.0350274i | ||||
\(35\) | 4.33380 | + | 2.93842i | 0.732546 | + | 0.496683i | ||||
\(36\) | −2.57152 | + | 1.54509i | −0.428586 | + | 0.257515i | ||||
\(37\) | −0.542374 | −0.0891657 | −0.0445828 | − | 0.999006i | \(-0.514196\pi\) | ||||
−0.0445828 | + | 0.999006i | \(0.514196\pi\) | |||||||
\(38\) | −1.44430 | + | 8.19103i | −0.234296 | + | 1.32876i | ||||
\(39\) | 4.84307 | − | 10.6270i | 0.775512 | − | 1.70169i | ||||
\(40\) | −1.85969 | − | 0.676871i | −0.294042 | − | 0.107023i | ||||
\(41\) | 0.421633 | + | 2.39120i | 0.0658480 | + | 0.373442i | 0.999868 | + | 0.0162228i | \(0.00516412\pi\) |
−0.934020 | + | 0.357220i | \(0.883725\pi\) | |||||||
\(42\) | −4.02195 | − | 2.19634i | −0.620601 | − | 0.338903i | ||||
\(43\) | −2.94820 | − | 2.47384i | −0.449597 | − | 0.377256i | 0.389689 | − | 0.920946i | \(-0.372582\pi\) |
−0.839286 | + | 0.543690i | \(0.817027\pi\) | |||||||
\(44\) | 3.27572 | 0.493834 | ||||||||
\(45\) | −5.08912 | + | 3.05779i | −0.758642 | + | 0.455829i | ||||
\(46\) | 0.496369 | 0.0731856 | ||||||||
\(47\) | −0.157691 | + | 0.894312i | −0.0230016 | + | 0.130449i | −0.994146 | − | 0.108043i | \(-0.965542\pi\) |
0.971145 | + | 0.238491i | \(0.0766528\pi\) | |||||||
\(48\) | 1.67688 | + | 0.433678i | 0.242037 | + | 0.0625960i | ||||
\(49\) | −0.210549 | − | 6.99683i | −0.0300784 | − | 0.999548i | ||||
\(50\) | 1.01807 | + | 0.370549i | 0.143977 | + | 0.0524035i | ||||
\(51\) | −0.933568 | + | 0.445284i | −0.130726 | + | 0.0623522i | ||||
\(52\) | −6.33600 | + | 2.30612i | −0.878645 | + | 0.319801i | ||||
\(53\) | −5.09597 | − | 8.82648i | −0.699985 | − | 1.21241i | −0.968471 | − | 0.249127i | \(-0.919856\pi\) |
0.268486 | − | 0.963284i | \(-0.413477\pi\) | |||||||
\(54\) | 4.17700 | − | 3.09074i | 0.568418 | − | 0.420596i | ||||
\(55\) | 6.48278 | 0.874138 | ||||||||
\(56\) | 0.723132 | + | 2.54501i | 0.0966326 | + | 0.340091i | ||||
\(57\) | 1.13035 | − | 14.3617i | 0.149719 | − | 1.90226i | ||||
\(58\) | 0.976863 | − | 0.819685i | 0.128268 | − | 0.107630i | ||||
\(59\) | −12.6532 | − | 4.60539i | −1.64731 | − | 0.599570i | −0.659012 | − | 0.752132i | \(-0.729025\pi\) |
−0.988294 | + | 0.152562i | \(0.951248\pi\) | |||||||
\(60\) | 3.31861 | + | 0.858265i | 0.428430 | + | 0.110802i | ||||
\(61\) | 1.27613 | − | 7.23729i | 0.163392 | − | 0.926639i | −0.787316 | − | 0.616550i | \(-0.788530\pi\) |
0.950707 | − | 0.310090i | \(-0.100359\pi\) | |||||||
\(62\) | 0.753095 | − | 1.30440i | 0.0956432 | − | 0.165659i | ||||
\(63\) | 7.29875 | + | 3.11901i | 0.919556 | + | 0.392958i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −12.5392 | + | 4.56389i | −1.55529 | + | 0.566081i | ||||
\(66\) | −5.64760 | + | 0.543778i | −0.695172 | + | 0.0669344i | ||||
\(67\) | −2.08879 | + | 1.75271i | −0.255187 | + | 0.214127i | −0.761402 | − | 0.648280i | \(-0.775489\pi\) |
0.506215 | + | 0.862407i | \(0.331044\pi\) | |||||||
\(68\) | 0.561154 | + | 0.204243i | 0.0680499 | + | 0.0247681i | ||||
\(69\) | −0.855779 | + | 0.0823984i | −0.103024 | + | 0.00991961i | ||||
\(70\) | 1.43110 | + | 5.03667i | 0.171050 | + | 0.601997i | ||||
\(71\) | −1.32437 | − | 2.29388i | −0.157174 | − | 0.272233i | 0.776675 | − | 0.629902i | \(-0.216905\pi\) |
−0.933848 | + | 0.357669i | \(0.883572\pi\) | |||||||
\(72\) | −2.96306 | − | 0.469329i | −0.349200 | − | 0.0553109i | ||||
\(73\) | −1.35179 | −0.158216 | −0.0791078 | − | 0.996866i | \(-0.525207\pi\) | ||||
−0.0791078 | + | 0.996866i | \(0.525207\pi\) | |||||||
\(74\) | −0.415482 | − | 0.348631i | −0.0482988 | − | 0.0405275i | ||||
\(75\) | −1.81675 | − | 0.469852i | −0.209780 | − | 0.0542538i | ||||
\(76\) | −6.37149 | + | 5.34631i | −0.730860 | + | 0.613264i | ||||
\(77\) | −5.07726 | − | 7.02381i | −0.578608 | − | 0.800438i | ||||
\(78\) | 10.5409 | − | 5.02771i | 1.19353 | − | 0.569276i | ||||
\(79\) | 5.44325 | + | 4.56743i | 0.612413 | + | 0.513876i | 0.895408 | − | 0.445246i | \(-0.146884\pi\) |
−0.282995 | + | 0.959121i | \(0.591328\pi\) | |||||||
\(80\) | −0.989519 | − | 1.71390i | −0.110632 | − | 0.191619i | ||||
\(81\) | −6.68841 | + | 6.02206i | −0.743156 | + | 0.669118i | ||||
\(82\) | −1.21404 | + | 2.10278i | −0.134069 | + | 0.232214i | ||||
\(83\) | −1.31290 | + | 7.44583i | −0.144110 | + | 0.817286i | 0.823968 | + | 0.566636i | \(0.191755\pi\) |
−0.968078 | + | 0.250650i | \(0.919356\pi\) | |||||||
\(84\) | −1.66921 | − | 4.26775i | −0.182126 | − | 0.465650i | ||||
\(85\) | 1.11054 | + | 0.404205i | 0.120455 | + | 0.0438422i | ||||
\(86\) | −0.668303 | − | 3.79014i | −0.0720650 | − | 0.408701i | ||||
\(87\) | −1.54812 | + | 1.57536i | −0.165976 | + | 0.168897i | ||||
\(88\) | 2.50935 | + | 2.10559i | 0.267498 | + | 0.224457i | ||||
\(89\) | −8.63183 | − | 14.9508i | −0.914973 | − | 1.58478i | −0.806942 | − | 0.590631i | \(-0.798879\pi\) |
−0.108031 | − | 0.994148i | \(-0.534455\pi\) | |||||||
\(90\) | −5.86401 | − | 0.928819i | −0.618121 | − | 0.0979061i | ||||
\(91\) | 14.7654 | + | 10.0113i | 1.54783 | + | 1.04947i | ||||
\(92\) | 0.380241 | + | 0.319060i | 0.0396428 | + | 0.0332643i | ||||
\(93\) | −1.08186 | + | 2.37390i | −0.112184 | + | 0.246162i | ||||
\(94\) | −0.695651 | + | 0.583721i | −0.0717509 | + | 0.0602062i | ||||
\(95\) | −12.6094 | + | 10.5806i | −1.29370 | + | 1.08554i | ||||
\(96\) | 1.00580 | + | 1.41009i | 0.102654 | + | 0.143917i | ||||
\(97\) | −6.38539 | − | 5.35798i | −0.648338 | − | 0.544020i | 0.258228 | − | 0.966084i | \(-0.416861\pi\) |
−0.906566 | + | 0.422064i | \(0.861306\pi\) | |||||||
\(98\) | 4.33619 | − | 5.49522i | 0.438021 | − | 0.555101i | ||||
\(99\) | 9.64663 | − | 1.87503i | 0.969523 | − | 0.188448i | ||||
\(100\) | 0.541706 | + | 0.938262i | 0.0541706 | + | 0.0938262i | ||||
\(101\) | 12.9695 | + | 10.8827i | 1.29051 | + | 1.08287i | 0.991702 | + | 0.128556i | \(0.0410342\pi\) |
0.298810 | + | 0.954313i | \(0.403410\pi\) | |||||||
\(102\) | −1.00138 | − | 0.258978i | −0.0991512 | − | 0.0256427i | ||||
\(103\) | −2.74718 | − | 15.5800i | −0.270688 | − | 1.53515i | −0.752335 | − | 0.658781i | \(-0.771072\pi\) |
0.481647 | − | 0.876365i | \(-0.340039\pi\) | |||||||
\(104\) | −6.33600 | − | 2.30612i | −0.621296 | − | 0.226133i | ||||
\(105\) | −3.30343 | − | 8.44604i | −0.322382 | − | 0.824250i | ||||
\(106\) | 1.76981 | − | 10.0371i | 0.171899 | − | 0.974890i | ||||
\(107\) | 1.44677 | − | 2.50589i | 0.139865 | − | 0.242253i | −0.787580 | − | 0.616212i | \(-0.788667\pi\) |
0.927445 | + | 0.373959i | \(0.122000\pi\) | |||||||
\(108\) | 5.18646 | + | 0.317284i | 0.499067 | + | 0.0305307i | ||||
\(109\) | 9.97350 | + | 17.2746i | 0.955288 | + | 1.65461i | 0.733708 | + | 0.679465i | \(0.237788\pi\) |
0.221580 | + | 0.975142i | \(0.428878\pi\) | |||||||
\(110\) | 4.96610 | + | 4.16705i | 0.473499 | + | 0.397313i | ||||
\(111\) | 0.774197 | + | 0.532096i | 0.0734836 | + | 0.0505043i | ||||
\(112\) | −1.08195 | + | 2.41441i | −0.102235 | + | 0.228140i | ||||
\(113\) | 5.52639 | − | 4.63719i | 0.519879 | − | 0.436230i | −0.344710 | − | 0.938709i | \(-0.612023\pi\) |
0.864590 | + | 0.502479i | \(0.167578\pi\) | |||||||
\(114\) | 10.0974 | − | 10.2751i | 0.945712 | − | 0.962355i | ||||
\(115\) | 0.752511 | + | 0.631431i | 0.0701720 | + | 0.0588813i | ||||
\(116\) | 1.27520 | 0.118400 | ||||||||
\(117\) | −17.3388 | + | 10.4180i | −1.60297 | + | 0.963143i | ||||
\(118\) | −6.73263 | − | 11.6613i | −0.619789 | − | 1.07351i | ||||
\(119\) | −0.431831 | − | 1.51980i | −0.0395859 | − | 0.139320i | ||||
\(120\) | 1.99052 | + | 2.79063i | 0.181709 | + | 0.254748i | ||||
\(121\) | 0.253373 | + | 0.0922203i | 0.0230339 | + | 0.00838367i | ||||
\(122\) | 5.62961 | − | 4.72380i | 0.509681 | − | 0.427673i | ||||
\(123\) | 1.74404 | − | 3.82690i | 0.157255 | − | 0.345060i | ||||
\(124\) | 1.41536 | − | 0.515148i | 0.127103 | − | 0.0462616i | ||||
\(125\) | 6.01965 | + | 10.4263i | 0.538414 | + | 0.932560i | ||||
\(126\) | 3.58631 | + | 7.08085i | 0.319494 | + | 0.630812i | ||||
\(127\) | 4.51749 | − | 7.82452i | 0.400862 | − | 0.694314i | −0.592968 | − | 0.805226i | \(-0.702044\pi\) |
0.993830 | + | 0.110912i | \(0.0353772\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | 1.78138 | + | 6.42355i | 0.156842 | + | 0.565562i | ||||
\(130\) | −12.5392 | − | 4.56389i | −1.09976 | − | 0.400279i | ||||
\(131\) | 10.6528 | − | 8.93879i | 0.930743 | − | 0.780986i | −0.0452078 | − | 0.998978i | \(-0.514395\pi\) |
0.975951 | + | 0.217992i | \(0.0699505\pi\) | |||||||
\(132\) | −4.67585 | − | 3.21365i | −0.406980 | − | 0.279712i | ||||
\(133\) | 21.3392 | + | 5.37515i | 1.85034 | + | 0.466085i | ||||
\(134\) | −2.72673 | −0.235553 | ||||||||
\(135\) | 10.2642 | + | 0.627917i | 0.883401 | + | 0.0540425i | ||||
\(136\) | 0.298584 | + | 0.517162i | 0.0256033 | + | 0.0443463i | ||||
\(137\) | −10.5182 | + | 3.82831i | −0.898630 | + | 0.327075i | −0.749704 | − | 0.661774i | \(-0.769804\pi\) |
−0.148927 | + | 0.988848i | \(0.547582\pi\) | |||||||
\(138\) | −0.708529 | − | 0.486963i | −0.0603140 | − | 0.0414531i | ||||
\(139\) | 4.89594 | + | 1.78198i | 0.415268 | + | 0.151145i | 0.541200 | − | 0.840894i | \(-0.317970\pi\) |
−0.125932 | + | 0.992039i | \(0.540192\pi\) | |||||||
\(140\) | −2.14122 | + | 4.77821i | −0.180966 | + | 0.403832i | ||||
\(141\) | 1.10246 | − | 1.12186i | 0.0928437 | − | 0.0944776i | ||||
\(142\) | 0.459949 | − | 2.60850i | 0.0385981 | − | 0.218900i | ||||
\(143\) | 22.0870 | 1.84701 | ||||||||
\(144\) | −1.96816 | − | 2.26415i | −0.164013 | − | 0.188679i | ||||
\(145\) | 2.52368 | 0.209580 | ||||||||
\(146\) | −1.03553 | − | 0.868917i | −0.0857015 | − | 0.0719121i | ||||
\(147\) | −6.56370 | + | 10.1940i | −0.541365 | + | 0.840788i | ||||
\(148\) | −0.0941822 | − | 0.534134i | −0.00774173 | − | 0.0439055i | ||||
\(149\) | 10.8595 | + | 3.95254i | 0.889647 | + | 0.323805i | 0.746096 | − | 0.665838i | \(-0.231926\pi\) |
0.143550 | + | 0.989643i | \(0.454148\pi\) | |||||||
\(150\) | −1.08970 | − | 1.52771i | −0.0889734 | − | 0.124737i | ||||
\(151\) | 2.86385 | − | 16.2417i | 0.233057 | − | 1.32173i | −0.613611 | − | 0.789609i | \(-0.710284\pi\) |
0.846668 | − | 0.532122i | \(-0.178605\pi\) | |||||||
\(152\) | −8.31739 | −0.674629 | ||||||||
\(153\) | 1.76944 | + | 0.280268i | 0.143051 | + | 0.0226583i | ||||
\(154\) | 0.625412 | − | 8.64416i | 0.0503971 | − | 0.696566i | ||||
\(155\) | 2.80104 | − | 1.01950i | 0.224985 | − | 0.0818879i | ||||
\(156\) | 11.3066 | + | 2.92413i | 0.905251 | + | 0.234118i | ||||
\(157\) | −13.0535 | − | 4.75108i | −1.04178 | − | 0.379178i | −0.236226 | − | 0.971698i | \(-0.575911\pi\) |
−0.805555 | + | 0.592520i | \(0.798133\pi\) | |||||||
\(158\) | 1.23388 | + | 6.99770i | 0.0981625 | + | 0.556707i | ||||
\(159\) | −1.38511 | + | 17.5985i | −0.109846 | + | 1.39565i | ||||
\(160\) | 0.343656 | − | 1.94897i | 0.0271684 | − | 0.154080i | ||||
\(161\) | 0.0947684 | − | 1.30985i | 0.00746880 | − | 0.103230i | ||||
\(162\) | −8.99452 | + | 0.313941i | −0.706676 | + | 0.0246655i | ||||
\(163\) | −6.51673 | + | 11.2873i | −0.510430 | + | 0.884091i | 0.489497 | + | 0.872005i | \(0.337180\pi\) |
−0.999927 | + | 0.0120856i | \(0.996153\pi\) | |||||||
\(164\) | −2.28166 | + | 0.830455i | −0.178167 | + | 0.0648476i | ||||
\(165\) | −9.25368 | − | 6.35993i | −0.720398 | − | 0.495120i | ||||
\(166\) | −5.79183 | + | 4.85992i | −0.449533 | + | 0.377203i | ||||
\(167\) | −17.4447 | + | 14.6378i | −1.34991 | + | 1.13271i | −0.370952 | + | 0.928652i | \(0.620968\pi\) |
−0.978959 | + | 0.204057i | \(0.934587\pi\) | |||||||
\(168\) | 1.46457 | − | 4.34224i | 0.112994 | − | 0.335011i | ||||
\(169\) | −30.5053 | + | 11.1030i | −2.34656 | + | 0.854079i | ||||
\(170\) | 0.590908 | + | 1.02348i | 0.0453206 | + | 0.0784976i | ||||
\(171\) | −15.7031 | + | 19.3913i | −1.20084 | + | 1.48289i | ||||
\(172\) | 1.92430 | − | 3.33299i | 0.146727 | − | 0.254138i | ||||
\(173\) | −13.2652 | + | 4.82813i | −1.00853 | + | 0.367076i | −0.792869 | − | 0.609392i | \(-0.791414\pi\) |
−0.215664 | + | 0.976468i | \(0.569192\pi\) | |||||||
\(174\) | −2.19855 | + | 0.211687i | −0.166672 | + | 0.0160479i | ||||
\(175\) | 1.17220 | − | 2.61580i | 0.0886098 | − | 0.197736i | ||||
\(176\) | 0.568823 | + | 3.22596i | 0.0428767 | + | 0.243166i | ||||
\(177\) | 13.5434 | + | 18.9873i | 1.01798 | + | 1.42717i | ||||
\(178\) | 2.99780 | − | 17.0014i | 0.224695 | − | 1.27431i | ||||
\(179\) | −0.00802956 | + | 0.0139076i | −0.000600158 | + | 0.00103950i | −0.866325 | − | 0.499480i | \(-0.833524\pi\) |
0.865725 | + | 0.500520i | \(0.166858\pi\) | |||||||
\(180\) | −3.89506 | − | 4.48083i | −0.290320 | − | 0.333981i | ||||
\(181\) | −1.97514 | + | 3.42105i | −0.146811 | + | 0.254285i | −0.930047 | − | 0.367440i | \(-0.880234\pi\) |
0.783236 | + | 0.621725i | \(0.213568\pi\) | |||||||
\(182\) | 4.87581 | + | 17.1601i | 0.361419 | + | 1.27199i | ||||
\(183\) | −8.92172 | + | 9.07873i | −0.659512 | + | 0.671119i | ||||
\(184\) | 0.0861936 | + | 0.488828i | 0.00635428 | + | 0.0360369i | ||||
\(185\) | −0.186390 | − | 1.05707i | −0.0137037 | − | 0.0777174i | ||||
\(186\) | −2.35467 | + | 1.12311i | −0.172653 | + | 0.0823502i | ||||
\(187\) | −1.49850 | − | 1.25739i | −0.109581 | − | 0.0919496i | ||||
\(188\) | −0.908108 | −0.0662306 | ||||||||
\(189\) | −7.35851 | − | 11.6126i | −0.535253 | − | 0.844692i | ||||
\(190\) | −16.4604 | −1.19416 | ||||||||
\(191\) | −13.6974 | − | 11.4935i | −0.991110 | − | 0.831640i | −0.00538196 | − | 0.999986i | \(-0.501713\pi\) |
−0.985728 | + | 0.168345i | \(0.946158\pi\) | |||||||
\(192\) | −0.135903 | + | 1.72671i | −0.00980792 | + | 0.124615i | ||||
\(193\) | 0.278012 | + | 1.57668i | 0.0200117 | + | 0.113492i | 0.993177 | − | 0.116614i | \(-0.0372039\pi\) |
−0.973166 | + | 0.230106i | \(0.926093\pi\) | |||||||
\(194\) | −1.44745 | − | 8.20889i | −0.103921 | − | 0.589364i | ||||
\(195\) | 22.3761 | + | 5.78696i | 1.60239 | + | 0.414413i | ||||
\(196\) | 6.85397 | − | 1.42234i | 0.489570 | − | 0.101596i | ||||
\(197\) | 9.50079 | − | 16.4558i | 0.676903 | − | 1.17243i | −0.299006 | − | 0.954251i | \(-0.596655\pi\) |
0.975909 | − | 0.218179i | \(-0.0700118\pi\) | |||||||
\(198\) | 8.59500 | + | 4.76438i | 0.610820 | + | 0.338590i | ||||
\(199\) | 4.16219 | − | 7.20912i | 0.295050 | − | 0.511041i | −0.679947 | − | 0.733261i | \(-0.737997\pi\) |
0.974996 | + | 0.222220i | \(0.0713305\pi\) | |||||||
\(200\) | −0.188132 | + | 1.06695i | −0.0133030 | + | 0.0754449i | ||||
\(201\) | 4.70109 | − | 0.452643i | 0.331589 | − | 0.0319270i | ||||
\(202\) | 2.93994 | + | 16.6733i | 0.206854 | + | 1.17313i | ||||
\(203\) | −1.97652 | − | 2.73429i | −0.138725 | − | 0.191910i | ||||
\(204\) | −0.600632 | − | 0.842062i | −0.0420526 | − | 0.0589561i | ||||
\(205\) | −4.51548 | + | 1.64350i | −0.315375 | + | 0.114787i | ||||
\(206\) | 7.91019 | − | 13.7008i | 0.551129 | − | 0.954583i | ||||
\(207\) | 1.30240 | + | 0.721945i | 0.0905228 | + | 0.0501786i | ||||
\(208\) | −3.37132 | − | 5.83929i | −0.233759 | − | 0.404882i | ||||
\(209\) | 25.6024 | − | 9.31849i | 1.77095 | − | 0.644574i | ||||
\(210\) | 2.89844 | − | 8.59345i | 0.200011 | − | 0.593005i | ||||
\(211\) | 3.59633 | − | 3.01768i | 0.247581 | − | 0.207745i | −0.510549 | − | 0.859849i | \(-0.670558\pi\) |
0.758130 | + | 0.652103i | \(0.226113\pi\) | |||||||
\(212\) | 7.80748 | − | 6.55125i | 0.536220 | − | 0.449942i | ||||
\(213\) | −0.359971 | + | 4.57361i | −0.0246648 | + | 0.313379i | ||||
\(214\) | 2.71905 | − | 0.989652i | 0.185870 | − | 0.0676512i | ||||
\(215\) | 3.80827 | − | 6.59611i | 0.259722 | − | 0.449851i | ||||
\(216\) | 3.76911 | + | 3.57684i | 0.256455 | + | 0.243373i | ||||
\(217\) | −3.29834 | − | 2.23635i | −0.223906 | − | 0.151813i | ||||
\(218\) | −3.46376 | + | 19.6440i | −0.234595 | + | 1.33046i | ||||
\(219\) | 1.92958 | + | 1.32618i | 0.130389 | + | 0.0896149i | ||||
\(220\) | 1.12572 | + | 6.38429i | 0.0758962 | + | 0.430429i | ||||
\(221\) | 3.78365 | + | 1.37714i | 0.254516 | + | 0.0926363i | ||||
\(222\) | 0.251045 | + | 0.905254i | 0.0168490 | + | 0.0607567i | ||||
\(223\) | 1.46317 | − | 0.532550i | 0.0979810 | − | 0.0356622i | −0.292565 | − | 0.956246i | \(-0.594509\pi\) |
0.390546 | + | 0.920584i | \(0.372286\pi\) | |||||||
\(224\) | −2.38078 | + | 1.15408i | −0.159072 | + | 0.0771104i | ||||
\(225\) | 2.13233 | + | 2.45300i | 0.142155 | + | 0.163533i | ||||
\(226\) | 7.21419 | 0.479881 | ||||||||
\(227\) | 0.778222 | − | 4.41352i | 0.0516524 | − | 0.292935i | −0.948029 | − | 0.318185i | \(-0.896927\pi\) |
0.999681 | + | 0.0252492i | \(0.00803792\pi\) | |||||||
\(228\) | 14.3398 | − | 1.38071i | 0.949678 | − | 0.0914394i | ||||
\(229\) | 17.3045 | + | 6.29834i | 1.14352 | + | 0.416206i | 0.843182 | − | 0.537628i | \(-0.180679\pi\) |
0.300335 | + | 0.953834i | \(0.402902\pi\) | |||||||
\(230\) | 0.170580 | + | 0.967409i | 0.0112477 | + | 0.0637891i | ||||
\(231\) | 0.356691 | + | 15.0070i | 0.0234686 | + | 0.987389i | ||||
\(232\) | 0.976863 | + | 0.819685i | 0.0641342 | + | 0.0538150i | ||||
\(233\) | 10.4132 | 0.682190 | 0.341095 | − | 0.940029i | \(-0.389202\pi\) | ||||
0.341095 | + | 0.940029i | \(0.389202\pi\) | |||||||
\(234\) | −19.9788 | − | 3.16451i | −1.30606 | − | 0.206871i | ||||
\(235\) | −1.79718 | −0.117235 | ||||||||
\(236\) | 2.33822 | − | 13.2607i | 0.152205 | − | 0.863197i | ||||
\(237\) | −3.28895 | − | 11.8598i | −0.213640 | − | 0.770374i | ||||
\(238\) | 0.646105 | − | 1.44181i | 0.0418808 | − | 0.0934585i | ||||
\(239\) | −9.03426 | − | 3.28820i | −0.584378 | − | 0.212696i | 0.0328769 | − | 0.999459i | \(-0.489533\pi\) |
−0.617255 | + | 0.786763i | \(0.711755\pi\) | |||||||
\(240\) | −0.268956 | + | 3.41723i | −0.0173610 | + | 0.220581i | ||||
\(241\) | −26.8336 | + | 9.76662i | −1.72850 | + | 0.629123i | −0.998522 | − | 0.0543459i | \(-0.982693\pi\) |
−0.729979 | + | 0.683469i | \(0.760470\pi\) | |||||||
\(242\) | 0.134817 | + | 0.233510i | 0.00866637 | + | 0.0150106i | ||||
\(243\) | 15.4551 | − | 2.03437i | 0.991448 | − | 0.130505i | ||||
\(244\) | 7.34893 | 0.470467 | ||||||||
\(245\) | 13.5643 | − | 2.81486i | 0.866589 | − | 0.179835i | ||||
\(246\) | 3.79589 | − | 1.81053i | 0.242017 | − | 0.115435i | ||||
\(247\) | −42.9606 | + | 36.0482i | −2.73352 | + | 2.29369i | ||||
\(248\) | 1.41536 | + | 0.515148i | 0.0898752 | + | 0.0327119i | ||||
\(249\) | 9.17880 | − | 9.34034i | 0.581683 | − | 0.591920i | ||||
\(250\) | −2.09060 | + | 11.8564i | −0.132221 | + | 0.749864i | ||||
\(251\) | −3.73667 | + | 6.47211i | −0.235857 | + | 0.408516i | −0.959521 | − | 0.281636i | \(-0.909123\pi\) |
0.723665 | + | 0.690152i | \(0.242456\pi\) | |||||||
\(252\) | −1.80421 | + | 7.72948i | −0.113654 | + | 0.486911i | ||||
\(253\) | −0.812984 | − | 1.40813i | −0.0511119 | − | 0.0885284i | ||||
\(254\) | 8.49010 | − | 3.09015i | 0.532717 | − | 0.193893i | ||||
\(255\) | −1.18867 | − | 1.66647i | −0.0744375 | − | 0.104359i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −26.1959 | − | 9.53453i | −1.63406 | − | 0.594748i | −0.648071 | − | 0.761580i | \(-0.724424\pi\) |
−0.985985 | + | 0.166832i | \(0.946646\pi\) | |||||||
\(258\) | −2.76436 | + | 6.06577i | −0.172102 | + | 0.377638i | ||||
\(259\) | −0.999312 | + | 1.02984i | −0.0620942 | + | 0.0639909i | ||||
\(260\) | −6.67196 | − | 11.5562i | −0.413777 | − | 0.716683i | ||||
\(261\) | 3.75533 | − | 0.729929i | 0.232449 | − | 0.0451815i | ||||
\(262\) | 13.9063 | 0.859134 | ||||||||
\(263\) | 9.37802 | + | 7.86909i | 0.578273 | + | 0.485229i | 0.884380 | − | 0.466768i | \(-0.154582\pi\) |
−0.306106 | + | 0.951997i | \(0.599026\pi\) | |||||||
\(264\) | −1.51621 | − | 5.46738i | −0.0933164 | − | 0.336494i | ||||
\(265\) | 15.4513 | − | 12.9652i | 0.949165 | − | 0.796444i | ||||
\(266\) | 12.8917 | + | 17.8342i | 0.790439 | + | 1.09348i | ||||
\(267\) | −2.34618 | + | 29.8094i | −0.143584 | + | 1.82430i | ||||
\(268\) | −2.08879 | − | 1.75271i | −0.127593 | − | 0.107064i | ||||
\(269\) | 11.6402 | + | 20.1614i | 0.709713 | + | 1.22926i | 0.964963 | + | 0.262384i | \(0.0845088\pi\) |
−0.255250 | + | 0.966875i | \(0.582158\pi\) | |||||||
\(270\) | 7.45921 | + | 7.07871i | 0.453953 | + | 0.430796i | ||||
\(271\) | 10.0745 | − | 17.4496i | 0.611985 | − | 1.05999i | −0.378920 | − | 0.925429i | \(-0.623705\pi\) |
0.990905 | − | 0.134560i | \(-0.0429621\pi\) | |||||||
\(272\) | −0.103697 | + | 0.588095i | −0.00628756 | + | 0.0356585i | ||||
\(273\) | −11.2549 | − | 28.7759i | −0.681177 | − | 1.74160i | ||||
\(274\) | −10.5182 | − | 3.82831i | −0.635428 | − | 0.231277i | ||||
\(275\) | −0.616270 | − | 3.49504i | −0.0371625 | − | 0.210759i | ||||
\(276\) | −0.229751 | − | 0.828469i | −0.0138294 | − | 0.0498680i | ||||
\(277\) | −7.84259 | − | 6.58072i | −0.471216 | − | 0.395397i | 0.376022 | − | 0.926611i | \(-0.377292\pi\) |
−0.847238 | + | 0.531214i | \(0.821736\pi\) | |||||||
\(278\) | 2.60507 | + | 4.51212i | 0.156242 | + | 0.270619i | ||||
\(279\) | 3.87319 | − | 2.32720i | 0.231882 | − | 0.139326i | ||||
\(280\) | −4.71164 | + | 2.28397i | −0.281575 | + | 0.136493i | ||||
\(281\) | 13.9814 | + | 11.7318i | 0.834061 | + | 0.699860i | 0.956220 | − | 0.292650i | \(-0.0945372\pi\) |
−0.122158 | + | 0.992511i | \(0.538982\pi\) | |||||||
\(282\) | 1.56565 | − | 0.150748i | 0.0932330 | − | 0.00897691i | ||||
\(283\) | 5.95618 | − | 4.99782i | 0.354058 | − | 0.297090i | −0.448359 | − | 0.893853i | \(-0.647991\pi\) |
0.802417 | + | 0.596764i | \(0.203547\pi\) | |||||||
\(284\) | 2.02905 | − | 1.70258i | 0.120402 | − | 0.101029i | ||||
\(285\) | 28.3790 | − | 2.73247i | 1.68103 | − | 0.161857i | ||||
\(286\) | 16.9196 | + | 14.1972i | 1.00048 | + | 0.839501i | ||||
\(287\) | 5.31715 | + | 3.60515i | 0.313862 | + | 0.212805i | ||||
\(288\) | −0.0523315 | − | 2.99954i | −0.00308366 | − | 0.176750i | ||||
\(289\) | 8.32170 | + | 14.4136i | 0.489512 | + | 0.847859i | ||||
\(290\) | 1.93325 | + | 1.62219i | 0.113524 | + | 0.0952581i | ||||
\(291\) | 3.85821 | + | 13.9125i | 0.226172 | + | 0.815565i | ||||
\(292\) | −0.234737 | − | 1.33126i | −0.0137369 | − | 0.0779060i | ||||
\(293\) | −15.8822 | − | 5.78065i | −0.927849 | − | 0.337709i | −0.166492 | − | 0.986043i | \(-0.553244\pi\) |
−0.761357 | + | 0.648333i | \(0.775466\pi\) | |||||||
\(294\) | −11.5807 | + | 3.59000i | −0.675398 | + | 0.209373i | ||||
\(295\) | 4.62742 | − | 26.2434i | 0.269419 | − | 1.52795i | ||||
\(296\) | 0.271187 | − | 0.469709i | 0.0157624 | − | 0.0273013i | ||||
\(297\) | −15.6093 | − | 6.78737i | −0.905746 | − | 0.393843i | ||||
\(298\) | 5.77823 | + | 10.0082i | 0.334724 | + | 0.579759i | ||||
\(299\) | 2.56382 | + | 2.15130i | 0.148270 | + | 0.124413i | ||||
\(300\) | 0.147238 | − | 1.87074i | 0.00850081 | − | 0.108007i | ||||
\(301\) | −10.1292 | + | 1.03993i | −0.583838 | + | 0.0599405i | ||||
\(302\) | 12.6338 | − | 10.6010i | 0.726994 | − | 0.610020i | ||||
\(303\) | −7.83649 | − | 28.2579i | −0.450195 | − | 1.62338i | ||||
\(304\) | −6.37149 | − | 5.34631i | −0.365430 | − | 0.306632i | ||||
\(305\) | 14.5438 | 0.832776 | ||||||||
\(306\) | 1.17532 | + | 1.35207i | 0.0671886 | + | 0.0772929i | ||||
\(307\) | −9.92235 | − | 17.1860i | −0.566298 | − | 0.980858i | −0.996928 | − | 0.0783287i | \(-0.975042\pi\) |
0.430629 | − | 0.902529i | \(-0.358292\pi\) | |||||||
\(308\) | 6.03545 | − | 6.21980i | 0.343902 | − | 0.354406i | ||||
\(309\) | −11.3634 | + | 24.9344i | −0.646442 | + | 1.41847i | ||||
\(310\) | 2.80104 | + | 1.01950i | 0.159089 | + | 0.0579035i | ||||
\(311\) | 17.6693 | − | 14.8263i | 1.00194 | − | 0.840724i | 0.0146842 | − | 0.999892i | \(-0.495326\pi\) |
0.987251 | + | 0.159168i | \(0.0508813\pi\) | |||||||
\(312\) | 6.78174 | + | 9.50774i | 0.383941 | + | 0.538270i | ||||
\(313\) | −7.28068 | + | 2.64995i | −0.411528 | + | 0.149784i | −0.539484 | − | 0.841996i | \(-0.681381\pi\) |
0.127956 | + | 0.991780i | \(0.459158\pi\) | |||||||
\(314\) | −6.94562 | − | 12.0302i | −0.391964 | − | 0.678901i | ||||
\(315\) | −3.57059 | + | 15.2969i | −0.201180 | + | 0.861884i | ||||
\(316\) | −3.55283 | + | 6.15368i | −0.199862 | + | 0.346171i | ||||
\(317\) | 4.86439 | − | 27.5873i | 0.273212 | − | 1.54946i | −0.471374 | − | 0.881933i | \(-0.656242\pi\) |
0.744586 | − | 0.667527i | \(-0.232647\pi\) | |||||||
\(318\) | −12.3732 | + | 12.5909i | −0.693853 | + | 0.706064i | ||||
\(319\) | −3.92530 | − | 1.42869i | −0.219774 | − | 0.0799914i | ||||
\(320\) | 1.51603 | − | 1.27210i | 0.0847487 | − | 0.0711126i | ||||
\(321\) | −4.52356 | + | 2.15760i | −0.252481 | + | 0.120426i | ||||
\(322\) | 0.914549 | − | 0.942484i | 0.0509658 | − | 0.0525226i | ||||
\(323\) | 4.96687 | 0.276364 | ||||||||
\(324\) | −7.09200 | − | 5.54107i | −0.394000 | − | 0.307837i | ||||
\(325\) | 3.65252 | + | 6.32636i | 0.202606 | + | 0.350923i | ||||
\(326\) | −12.2475 | + | 4.45771i | −0.678324 | + | 0.246890i | ||||
\(327\) | 2.71085 | − | 34.4427i | 0.149910 | − | 1.90469i | ||||
\(328\) | −2.28166 | − | 0.830455i | −0.125983 | − | 0.0458542i | ||||
\(329\) | 1.40754 | + | 1.94717i | 0.0776000 | + | 0.107351i | ||||
\(330\) | −3.00064 | − | 10.8201i | −0.165180 | − | 0.595629i | ||||
\(331\) | 1.77095 | − | 10.0435i | 0.0973400 | − | 0.552043i | −0.896665 | − | 0.442709i | \(-0.854017\pi\) |
0.994005 | − | 0.109333i | \(-0.0348715\pi\) | |||||||
\(332\) | −7.56069 | −0.414947 | ||||||||
\(333\) | −0.583095 | − | 1.51905i | −0.0319534 | − | 0.0832436i | ||||
\(334\) | −22.7724 | −1.24605 | ||||||||
\(335\) | −4.13380 | − | 3.46867i | −0.225854 | − | 0.189514i | ||||
\(336\) | 3.91306 | − | 2.38494i | 0.213475 | − | 0.130109i | ||||
\(337\) | 0.475096 | + | 2.69440i | 0.0258801 | + | 0.146774i | 0.995010 | − | 0.0997786i | \(-0.0318135\pi\) |
−0.969130 | + | 0.246552i | \(0.920702\pi\) | |||||||
\(338\) | −30.5053 | − | 11.1030i | −1.65927 | − | 0.603925i | ||||
\(339\) | −12.4378 | + | 1.19757i | −0.675530 | + | 0.0650432i | ||||
\(340\) | −0.205220 | + | 1.16386i | −0.0111296 | + | 0.0631193i | ||||
\(341\) | −4.93386 | −0.267184 | ||||||||
\(342\) | −24.4938 | + | 4.76089i | −1.32447 | + | 0.257439i | ||||
\(343\) | −13.6732 | − | 12.4917i | −0.738284 | − | 0.674490i | ||||
\(344\) | 3.61651 | − | 1.31630i | 0.194989 | − | 0.0709702i | ||||
\(345\) | −0.454686 | − | 1.63957i | −0.0244795 | − | 0.0882716i | ||||
\(346\) | −13.2652 | − | 4.82813i | −0.713141 | − | 0.259562i | ||||
\(347\) | 0.422470 | + | 2.39594i | 0.0226794 | + | 0.128621i | 0.994045 | − | 0.108967i | \(-0.0347543\pi\) |
−0.971366 | + | 0.237588i | \(0.923643\pi\) | |||||||
\(348\) | −1.82026 | − | 1.25104i | −0.0975760 | − | 0.0670627i | ||||
\(349\) | −0.745200 | + | 4.22624i | −0.0398896 | + | 0.226225i | −0.998235 | − | 0.0593863i | \(-0.981086\pi\) |
0.958345 | + | 0.285612i | \(0.0921968\pi\) | |||||||
\(350\) | 2.57936 | − | 1.25035i | 0.137873 | − | 0.0668338i | ||||
\(351\) | 34.9704 | + | 2.13933i | 1.86658 | + | 0.114189i | ||||
\(352\) | −1.63786 | + | 2.83686i | −0.0872983 | + | 0.151205i | ||||
\(353\) | 20.4486 | − | 7.44269i | 1.08837 | − | 0.396134i | 0.265353 | − | 0.964151i | \(-0.414511\pi\) |
0.823017 | + | 0.568017i | \(0.192289\pi\) | |||||||
\(354\) | −1.82996 | + | 23.2506i | −0.0972614 | + | 1.23576i | ||||
\(355\) | 4.01557 | − | 3.36946i | 0.213124 | − | 0.178833i | ||||
\(356\) | 13.2247 | − | 11.0969i | 0.700910 | − | 0.588133i | ||||
\(357\) | −0.874592 | + | 2.59304i | −0.0462883 | + | 0.137238i | ||||
\(358\) | −0.0150906 | + | 0.00549254i | −0.000797565 | + | 0.000290290i | ||||
\(359\) | 14.5206 | + | 25.1504i | 0.766369 | + | 1.32739i | 0.939520 | + | 0.342495i | \(0.111272\pi\) |
−0.173151 | + | 0.984895i | \(0.555395\pi\) | |||||||
\(360\) | −0.103566 | − | 5.93621i | −0.00545841 | − | 0.312866i | ||||
\(361\) | −25.0894 | + | 43.4562i | −1.32050 | + | 2.28717i | ||||
\(362\) | −3.71206 | + | 1.35108i | −0.195101 | + | 0.0710111i | ||||
\(363\) | −0.271198 | − | 0.380210i | −0.0142342 | − | 0.0199558i | ||||
\(364\) | −7.29519 | + | 16.2795i | −0.382372 | + | 0.853277i | ||||
\(365\) | −0.464553 | − | 2.63461i | −0.0243158 | − | 0.137902i | ||||
\(366\) | −12.6701 | + | 1.21994i | −0.662278 | + | 0.0637673i | ||||
\(367\) | 3.74342 | − | 21.2300i | 0.195405 | − | 1.10820i | −0.716437 | − | 0.697652i | \(-0.754228\pi\) |
0.911841 | − | 0.410543i | \(-0.134661\pi\) | |||||||
\(368\) | −0.248185 | + | 0.429868i | −0.0129375 | + | 0.0224084i | ||||
\(369\) | −6.24386 | + | 3.75162i | −0.325042 | + | 0.195301i | ||||
\(370\) | 0.536689 | − | 0.929572i | 0.0279011 | − | 0.0483262i | ||||
\(371\) | −26.1485 | − | 6.58659i | −1.35756 | − | 0.341959i | ||||
\(372\) | −2.52570 | − | 0.653202i | −0.130951 | − | 0.0338669i | ||||
\(373\) | 0.155952 | + | 0.884448i | 0.00807489 | + | 0.0457950i | 0.988579 | − | 0.150704i | \(-0.0481540\pi\) |
−0.980504 | + | 0.196499i | \(0.937043\pi\) | |||||||
\(374\) | −0.339683 | − | 1.92644i | −0.0175646 | − | 0.0996137i | ||||
\(375\) | 1.63617 | − | 20.7884i | 0.0844915 | − | 1.07351i | ||||
\(376\) | −0.695651 | − | 0.583721i | −0.0358755 | − | 0.0301031i | ||||
\(377\) | 8.59823 | 0.442831 | ||||||||
\(378\) | 1.82748 | − | 13.6257i | 0.0939955 | − | 0.700832i | ||||
\(379\) | −24.5625 | −1.26169 | −0.630845 | − | 0.775909i | \(-0.717291\pi\) | ||||
−0.630845 | + | 0.775909i | \(0.717291\pi\) | |||||||
\(380\) | −12.6094 | − | 10.5806i | −0.646849 | − | 0.542771i | ||||
\(381\) | −14.1246 | + | 6.73703i | −0.723627 | + | 0.345148i | ||||
\(382\) | −3.10495 | − | 17.6091i | −0.158863 | − | 0.900958i | ||||
\(383\) | −1.57542 | − | 8.93463i | −0.0805000 | − | 0.456538i | −0.998237 | − | 0.0593501i | \(-0.981097\pi\) |
0.917737 | − | 0.397188i | \(-0.130014\pi\) | |||||||
\(384\) | −1.21402 | + | 1.23538i | −0.0619525 | + | 0.0630428i | ||||
\(385\) | 11.9444 | − | 12.3092i | 0.608742 | − | 0.627336i | ||||
\(386\) | −0.800503 | + | 1.38651i | −0.0407445 | + | 0.0705716i | ||||
\(387\) | 3.75904 | − | 10.9168i | 0.191083 | − | 0.554930i | ||||
\(388\) | 4.16777 | − | 7.21878i | 0.211586 | − | 0.366478i | ||||
\(389\) | 5.43970 | − | 30.8501i | 0.275804 | − | 1.56416i | −0.460593 | − | 0.887611i | \(-0.652363\pi\) |
0.736397 | − | 0.676550i | \(-0.236526\pi\) | |||||||
\(390\) | 13.4213 | + | 18.8162i | 0.679615 | + | 0.952794i | ||||
\(391\) | −0.0514720 | − | 0.291912i | −0.00260305 | − | 0.0147626i | ||||
\(392\) | 6.16471 | + | 3.31608i | 0.311365 | + | 0.167487i | ||||
\(393\) | −23.9755 | + | 2.30848i | −1.20941 | + | 0.116447i | ||||
\(394\) | 17.8556 | − | 6.49892i | 0.899554 | − | 0.327411i | ||||
\(395\) | −7.03118 | + | 12.1784i | −0.353777 | + | 0.612760i | ||||
\(396\) | 3.52166 | + | 9.17448i | 0.176970 | + | 0.461035i | ||||
\(397\) | −1.92238 | − | 3.32966i | −0.0964814 | − | 0.167111i | 0.813745 | − | 0.581223i | \(-0.197425\pi\) |
−0.910226 | + | 0.414112i | \(0.864092\pi\) | |||||||
\(398\) | 7.82235 | − | 2.84710i | 0.392099 | − | 0.142712i | ||||
\(399\) | −25.1867 | − | 28.6074i | −1.26091 | − | 1.43216i | ||||
\(400\) | −0.829942 | + | 0.696404i | −0.0414971 | + | 0.0348202i | ||||
\(401\) | 7.36725 | − | 6.18186i | 0.367903 | − | 0.308707i | −0.440028 | − | 0.897984i | \(-0.645032\pi\) |
0.807931 | + | 0.589277i | \(0.200587\pi\) | |||||||
\(402\) | 3.89220 | + | 2.67506i | 0.194125 | + | 0.133420i | ||||
\(403\) | 9.54322 | − | 3.47345i | 0.475382 | − | 0.173025i | ||||
\(404\) | −8.46523 | + | 14.6622i | −0.421161 | + | 0.729472i | ||||
\(405\) | −14.0353 | − | 10.9660i | −0.697421 | − | 0.544905i | ||||
\(406\) | 0.243466 | − | 3.36508i | 0.0120830 | − | 0.167006i | ||||
\(407\) | −0.308515 | + | 1.74968i | −0.0152925 | + | 0.0867282i | ||||
\(408\) | 0.0811566 | − | 1.03114i | 0.00401785 | − | 0.0510488i | ||||
\(409\) | −0.857938 | − | 4.86561i | −0.0424223 | − | 0.240589i | 0.956222 | − | 0.292642i | \(-0.0945345\pi\) |
−0.998644 | + | 0.0520535i | \(0.983423\pi\) | |||||||
\(410\) | −4.51548 | − | 1.64350i | −0.223004 | − | 0.0811667i | ||||
\(411\) | 18.7697 | + | 4.85426i | 0.925841 | + | 0.239443i | ||||
\(412\) | 14.8663 | − | 5.41089i | 0.732410 | − | 0.266575i | ||||
\(413\) | −32.0578 | + | 15.5400i | −1.57746 | + | 0.764674i | ||||
\(414\) | 0.533636 | + | 1.39021i | 0.0262268 | + | 0.0683249i | ||||
\(415\) | −14.9629 | −0.734500 | ||||||||
\(416\) | 1.17085 | − | 6.64020i | 0.0574054 | − | 0.325562i | ||||
\(417\) | −5.24037 | − | 7.34680i | −0.256622 | − | 0.359774i | ||||
\(418\) | 25.6024 | + | 9.31849i | 1.25225 | + | 0.455782i | ||||
\(419\) | 4.41265 | + | 25.0254i | 0.215572 | + | 1.22257i | 0.879911 | + | 0.475138i | \(0.157602\pi\) |
−0.664339 | + | 0.747431i | \(0.731287\pi\) | |||||||
\(420\) | 7.74409 | − | 4.71989i | 0.377873 | − | 0.230307i | ||||
\(421\) | 11.3843 | + | 9.55254i | 0.554836 | + | 0.465562i | 0.876575 | − | 0.481266i | \(-0.159823\pi\) |
−0.321739 | + | 0.946828i | \(0.604267\pi\) | |||||||
\(422\) | 4.69467 | 0.228533 | ||||||||
\(423\) | −2.67427 | + | 0.519803i | −0.130028 | + | 0.0252737i | ||||
\(424\) | 10.1919 | 0.494964 | ||||||||
\(425\) | 0.112347 | − | 0.637149i | 0.00544961 | − | 0.0309063i | ||||
\(426\) | −3.21561 | + | 3.27220i | −0.155797 | + | 0.158539i | ||||
\(427\) | −11.3906 | − | 15.7576i | −0.551230 | − | 0.762564i | ||||
\(428\) | 2.71905 | + | 0.989652i | 0.131430 | + | 0.0478366i | ||||
\(429\) | −31.5275 | − | 21.6685i | −1.52216 | − | 1.04616i | ||||
\(430\) | 7.15720 | − | 2.60501i | 0.345151 | − | 0.125625i | ||||
\(431\) | −4.89865 | − | 8.48471i | −0.235960 | − | 0.408694i | 0.723591 | − | 0.690228i | \(-0.242490\pi\) |
−0.959551 | + | 0.281534i | \(0.909157\pi\) | |||||||
\(432\) | 0.588155 | + | 5.16276i | 0.0282976 | + | 0.248393i | ||||
\(433\) | 27.3619 | 1.31493 | 0.657464 | − | 0.753486i | \(-0.271629\pi\) | ||||
0.657464 | + | 0.753486i | \(0.271629\pi\) | |||||||
\(434\) | −1.08917 | − | 3.83327i | −0.0522820 | − | 0.184003i | ||||
\(435\) | −3.60236 | − | 2.47585i | −0.172720 | − | 0.118708i | ||||
\(436\) | −15.2803 | + | 12.8217i | −0.731793 | + | 0.614047i | ||||
\(437\) | 3.87951 | + | 1.41203i | 0.185582 | + | 0.0675465i | ||||
\(438\) | 0.625696 | + | 2.25623i | 0.0298969 | + | 0.107807i | ||||
\(439\) | −5.61740 | + | 31.8579i | −0.268104 | + | 1.52049i | 0.491945 | + | 0.870626i | \(0.336286\pi\) |
−0.760049 | + | 0.649866i | \(0.774825\pi\) | |||||||
\(440\) | −3.24139 | + | 5.61425i | −0.154527 | + | 0.267649i | ||||
\(441\) | 19.3700 | − | 8.11185i | 0.922382 | − | 0.386278i | ||||
\(442\) | 2.01324 | + | 3.48703i | 0.0957601 | + | 0.165861i | ||||
\(443\) | −28.6959 | + | 10.4445i | −1.36338 | + | 0.496231i | −0.917099 | − | 0.398660i | \(-0.869475\pi\) |
−0.446285 | + | 0.894891i | \(0.647253\pi\) | |||||||
\(444\) | −0.389574 | + | 0.854833i | −0.0184884 | + | 0.0405686i | ||||
\(445\) | 26.1722 | − | 21.9611i | 1.24068 | − | 1.04106i | ||||
\(446\) | 1.46317 | + | 0.532550i | 0.0692830 | + | 0.0252170i | ||||
\(447\) | −11.6235 | − | 16.2957i | −0.549773 | − | 0.770760i | ||||
\(448\) | −2.56561 | − | 0.646255i | −0.121214 | − | 0.0305327i | ||||
\(449\) | −5.77134 | − | 9.99626i | −0.272366 | − | 0.471753i | 0.697101 | − | 0.716973i | \(-0.254473\pi\) |
−0.969467 | + | 0.245221i | \(0.921140\pi\) | |||||||
\(450\) | 0.0566966 | + | 3.24974i | 0.00267270 | + | 0.153194i | ||||
\(451\) | 7.95374 | 0.374527 | ||||||||
\(452\) | 5.52639 | + | 4.63719i | 0.259940 | + | 0.218115i | ||||
\(453\) | −20.0219 | + | 20.3742i | −0.940709 | + | 0.957264i | ||||
\(454\) | 3.43311 | − | 2.88072i | 0.161124 | − | 0.135199i | ||||
\(455\) | −14.4375 | + | 32.2177i | −0.676838 | + | 1.51039i | ||||
\(456\) | 11.8724 | + | 8.15977i | 0.555978 | + | 0.382116i | ||||
\(457\) | −9.68142 | − | 8.12368i | −0.452878 | − | 0.380010i | 0.387625 | − | 0.921817i | \(-0.373296\pi\) |
−0.840503 | + | 0.541808i | \(0.817740\pi\) | |||||||
\(458\) | 9.20756 | + | 15.9480i | 0.430241 | + | 0.745199i | ||||
\(459\) | −2.25079 | − | 2.13597i | −0.105058 | − | 0.0996988i | ||||
\(460\) | −0.491166 | + | 0.850725i | −0.0229008 | + | 0.0396653i | ||||
\(461\) | −3.47332 | + | 19.6982i | −0.161768 | + | 0.917434i | 0.790566 | + | 0.612377i | \(0.209787\pi\) |
−0.952334 | + | 0.305057i | \(0.901324\pi\) | |||||||
\(462\) | −9.37308 | + | 11.7253i | −0.436075 | + | 0.545511i | ||||
\(463\) | 12.0406 | + | 4.38242i | 0.559574 | + | 0.203668i | 0.606295 | − | 0.795240i | \(-0.292655\pi\) |
−0.0467212 | + | 0.998908i | \(0.514877\pi\) | |||||||
\(464\) | 0.221437 | + | 1.25583i | 0.0102799 | + | 0.0583005i | ||||
\(465\) | −4.99845 | − | 1.29271i | −0.231798 | − | 0.0599480i | ||||
\(466\) | 7.97695 | + | 6.69346i | 0.369525 | + | 0.310069i | ||||
\(467\) | 13.8762 | + | 24.0342i | 0.642112 | + | 1.11217i | 0.984961 | + | 0.172780i | \(0.0552748\pi\) |
−0.342849 | + | 0.939391i | \(0.611392\pi\) | |||||||
\(468\) | −13.2706 | − | 15.2663i | −0.613432 | − | 0.705685i | ||||
\(469\) | −0.520596 | + | 7.19543i | −0.0240389 | + | 0.332254i | ||||
\(470\) | −1.37672 | − | 1.15520i | −0.0635033 | − | 0.0532856i | ||||
\(471\) | 13.9718 | + | 19.5879i | 0.643787 | + | 0.902565i | ||||
\(472\) | 10.3150 | − | 8.65530i | 0.474786 | − | 0.398392i | ||||
\(473\) | −9.65750 | + | 8.10360i | −0.444052 | + | 0.372604i | ||||
\(474\) | 5.10382 | − | 11.1992i | 0.234426 | − | 0.514396i | ||||
\(475\) | 6.90294 | + | 5.79226i | 0.316729 | + | 0.265767i | ||||
\(476\) | 1.42172 | − | 0.689180i | 0.0651645 | − | 0.0315885i | ||||
\(477\) | 19.2422 | − | 23.7617i | 0.881039 | − | 1.08797i | ||||
\(478\) | −4.80703 | − | 8.32602i | −0.219869 | − | 0.380823i | ||||
\(479\) | −10.9401 | − | 9.17986i | −0.499867 | − | 0.419438i | 0.357680 | − | 0.933844i | \(-0.383568\pi\) |
−0.857547 | + | 0.514406i | \(0.828012\pi\) | |||||||
\(480\) | −2.40258 | + | 2.44486i | −0.109662 | + | 0.111592i | ||||
\(481\) | −0.635036 | − | 3.60147i | −0.0289551 | − | 0.164213i | ||||
\(482\) | −26.8336 | − | 9.76662i | −1.22224 | − | 0.444857i | ||||
\(483\) | −1.42030 | + | 1.77673i | −0.0646259 | + | 0.0808441i | ||||
\(484\) | −0.0468215 | + | 0.265538i | −0.00212825 | + | 0.0120699i | ||||
\(485\) | 8.24816 | − | 14.2862i | 0.374530 | − | 0.648705i | ||||
\(486\) | 13.1470 | + | 8.37595i | 0.596360 | + | 0.379941i | ||||
\(487\) | −18.8491 | − | 32.6476i | −0.854134 | − | 1.47940i | −0.877446 | − | 0.479675i | \(-0.840755\pi\) |
0.0233124 | − | 0.999728i | \(-0.492579\pi\) | |||||||
\(488\) | 5.62961 | + | 4.72380i | 0.254840 | + | 0.213836i | ||||
\(489\) | 20.3756 | − | 9.71854i | 0.921415 | − | 0.439488i | ||||
\(490\) | 12.2002 | + | 6.56264i | 0.551148 | + | 0.296470i | ||||
\(491\) | −9.35212 | + | 7.84736i | −0.422055 | + | 0.354146i | −0.828944 | − | 0.559331i | \(-0.811058\pi\) |
0.406889 | + | 0.913478i | \(0.366614\pi\) | |||||||
\(492\) | 4.07161 | + | 1.05301i | 0.183562 | + | 0.0474733i | ||||
\(493\) | −0.583351 | − | 0.489489i | −0.0262728 | − | 0.0220455i | ||||
\(494\) | −56.0811 | −2.52321 | ||||||||
\(495\) | 6.96950 | + | 18.1566i | 0.313256 | + | 0.816081i | ||||
\(496\) | 0.753095 | + | 1.30440i | 0.0338150 | + | 0.0585693i | ||||
\(497\) | −6.79563 | − | 1.71176i | −0.304826 | − | 0.0767830i | ||||
\(498\) | 13.0352 | − | 1.25509i | 0.584122 | − | 0.0562421i | ||||
\(499\) | −4.29316 | − | 1.56258i | −0.192188 | − | 0.0699508i | 0.244133 | − | 0.969742i | \(-0.421497\pi\) |
−0.436321 | + | 0.899791i | \(0.643719\pi\) | |||||||
\(500\) | −9.22264 | + | 7.73871i | −0.412449 | + | 0.346086i | ||||
\(501\) | 39.2614 | − | 3.78028i | 1.75407 | − | 0.168890i | ||||
\(502\) | −7.02265 | + | 2.55604i | −0.313436 | + | 0.114081i | ||||
\(503\) | −2.44425 | − | 4.23357i | −0.108984 | − | 0.188766i | 0.806375 | − | 0.591405i | \(-0.201426\pi\) |
−0.915359 | + | 0.402639i | \(0.868093\pi\) | |||||||
\(504\) | −6.35052 | + | 4.76140i | −0.282874 | + | 0.212090i | ||||
\(505\) | −16.7530 | + | 29.0171i | −0.745499 | + | 1.29124i | ||||
\(506\) | 0.282346 | − | 1.60127i | 0.0125518 | − | 0.0711850i | ||||
\(507\) | 54.4366 | + | 14.0785i | 2.41762 | + | 0.625249i | ||||
\(508\) | 8.49010 | + | 3.09015i | 0.376687 | + | 0.137103i | ||||
\(509\) | 4.68933 | − | 3.93481i | 0.207851 | − | 0.174407i | −0.532920 | − | 0.846166i | \(-0.678905\pi\) |
0.740770 | + | 0.671758i | \(0.234461\pi\) | |||||||
\(510\) | 0.160612 | − | 2.04066i | 0.00711201 | − | 0.0903617i | ||||
\(511\) | −2.49065 | + | 2.56673i | −0.110180 | + | 0.113545i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 41.4388 | − | 12.2742i | 1.82957 | − | 0.541917i | ||||
\(514\) | −13.9386 | − | 24.1423i | −0.614803 | − | 1.06487i | ||||
\(515\) | 29.4209 | − | 10.7083i | 1.29644 | − | 0.471866i | ||||
\(516\) | −6.01663 | + | 2.86975i | −0.264867 | + | 0.126334i | ||||
\(517\) | 2.79531 | + | 1.01741i | 0.122938 | + | 0.0447457i | ||||
\(518\) | −1.42748 | + | 0.146554i | −0.0627200 | + | 0.00643923i | ||||
\(519\) | 23.6717 | + | 6.12202i | 1.03907 | + | 0.268727i | ||||
\(520\) | 2.31715 | − | 13.1412i | 0.101614 | − | 0.576279i | ||||
\(521\) | 17.2963 | 0.757763 | 0.378881 | − | 0.925445i | \(-0.376309\pi\) | ||||
0.378881 | + | 0.925445i | \(0.376309\pi\) | |||||||
\(522\) | 3.34594 | + | 1.85472i | 0.146448 | + | 0.0811790i | ||||
\(523\) | 34.1662 | 1.49398 | 0.746991 | − | 0.664834i | \(-0.231498\pi\) | ||||
0.746991 | + | 0.664834i | \(0.231498\pi\) | |||||||
\(524\) | 10.6528 | + | 8.93879i | 0.465371 | + | 0.390493i | ||||
\(525\) | −4.23946 | + | 2.58387i | −0.185025 | + | 0.112770i | ||||
\(526\) | 2.12582 | + | 12.0561i | 0.0926903 | + | 0.525673i | ||||
\(527\) | −0.845205 | − | 0.307629i | −0.0368177 | − | 0.0134005i | ||||
\(528\) | 2.35288 | − | 5.16286i | 0.102396 | − | 0.224684i | ||||
\(529\) | −3.95112 | + | 22.4079i | −0.171788 | + | 0.974258i | ||||
\(530\) | 20.1702 | 0.876139 | ||||||||
\(531\) | −0.704657 | − | 40.3896i | −0.0305795 | − | 1.75276i | ||||
\(532\) | −1.58798 | + | 21.9484i | −0.0688478 | + | 0.951582i | ||||
\(533\) | −15.3844 | + | 5.59945i | −0.666370 | + | 0.242539i | ||||
\(534\) | −20.9584 | + | 21.3272i | −0.906957 | + | 0.922918i | ||||
\(535\) | 5.38109 | + | 1.95856i | 0.232645 | + | 0.0846758i | ||||
\(536\) | −0.473491 | − | 2.68530i | −0.0204517 | − | 0.115987i | ||||
\(537\) | 0.0251057 | − | 0.0119747i | 0.00108339 | − | 0.000516744i | ||||
\(538\) | −4.04259 | + | 22.9266i | −0.174288 | + | 0.988438i | ||||
\(539\) | −22.6913 | − | 3.30074i | −0.977382 | − | 0.142173i | ||||
\(540\) | 1.16398 | + | 10.2173i | 0.0500897 | + | 0.439682i | ||||
\(541\) | 14.2140 | − | 24.6193i | 0.611107 | − | 1.05847i | −0.379948 | − | 0.925008i | \(-0.624058\pi\) |
0.991054 | − | 0.133460i | \(-0.0426087\pi\) | |||||||
\(542\) | 18.9340 | − | 6.89140i | 0.813283 | − | 0.296011i | ||||
\(543\) | 6.17559 | − | 2.94557i | 0.265020 | − | 0.126407i | ||||
\(544\) | −0.457457 | + | 0.383852i | −0.0196133 | + | 0.0164575i | ||||
\(545\) | −30.2403 | + | 25.3746i | −1.29535 | + | 1.08693i | ||||
\(546\) | 9.87504 | − | 29.2781i | 0.422613 | − | 1.25299i | ||||
\(547\) | 12.8925 | − | 4.69250i | 0.551245 | − | 0.200637i | −0.0513547 | − | 0.998680i | \(-0.516354\pi\) |
0.602599 | + | 0.798044i | \(0.294132\pi\) | |||||||
\(548\) | −5.59662 | − | 9.69362i | −0.239076 | − | 0.414091i | ||||
\(549\) | 21.6418 | − | 4.20654i | 0.923648 | − | 0.179531i | ||||
\(550\) | 1.77448 | − | 3.07349i | 0.0756640 | − | 0.131054i | ||||
\(551\) | 9.96672 | − | 3.62759i | 0.424596 | − | 0.154540i | ||||
\(552\) | 0.356530 | − | 0.782325i | 0.0151749 | − | 0.0332980i | ||||
\(553\) | 18.7015 | − | 1.92001i | 0.795268 | − | 0.0816473i | ||||
\(554\) | −1.77777 | − | 10.0822i | −0.0755303 | − | 0.428353i | ||||
\(555\) | −0.770982 | + | 1.69175i | −0.0327264 | + | 0.0718106i | ||||
\(556\) | −0.904733 | + | 5.13100i | −0.0383692 | + | 0.217603i | ||||
\(557\) | −8.78728 | + | 15.2200i | −0.372329 | + | 0.644893i | −0.989923 | − | 0.141604i | \(-0.954774\pi\) |
0.617594 | + | 0.786497i | \(0.288107\pi\) | |||||||
\(558\) | 4.46293 | + | 0.706899i | 0.188931 | + | 0.0299254i | ||||
\(559\) | 12.9749 | − | 22.4731i | 0.548778 | − | 0.950512i | ||||
\(560\) | −5.07744 | − | 1.27896i | −0.214561 | − | 0.0540460i | ||||
\(561\) | 0.905433 | + | 3.26494i | 0.0382274 | + | 0.137846i | ||||
\(562\) | 3.16933 | + | 17.9742i | 0.133690 | + | 0.758194i | ||||
\(563\) | 4.65361 | + | 26.3919i | 0.196126 | + | 1.11229i | 0.910806 | + | 0.412835i | \(0.135461\pi\) |
−0.714679 | + | 0.699452i | \(0.753427\pi\) | |||||||
\(564\) | 1.29626 | + | 0.890900i | 0.0545822 | + | 0.0375136i | ||||
\(565\) | 10.9369 | + | 9.17718i | 0.460120 | + | 0.386087i | ||||
\(566\) | 7.77524 | 0.326818 | ||||||||
\(567\) | −0.888819 | + | 23.7952i | −0.0373269 | + | 0.999303i | ||||
\(568\) | 2.64874 | 0.111139 | ||||||||
\(569\) | 1.94865 | + | 1.63511i | 0.0816917 | + | 0.0685475i | 0.682719 | − | 0.730681i | \(-0.260797\pi\) |
−0.601027 | + | 0.799228i | \(0.705242\pi\) | |||||||
\(570\) | 23.4960 | + | 16.1485i | 0.984139 | + | 0.676386i | ||||
\(571\) | 3.72221 | + | 21.1097i | 0.155770 | + | 0.883414i | 0.958079 | + | 0.286505i | \(0.0924936\pi\) |
−0.802309 | + | 0.596909i | \(0.796395\pi\) | |||||||
\(572\) | 3.83537 | + | 21.7514i | 0.160365 | + | 0.909474i | ||||
\(573\) | 8.27632 | + | 29.8439i | 0.345748 | + | 1.24675i | ||||
\(574\) | 1.75583 | + | 6.17951i | 0.0732868 | + | 0.257928i | ||||
\(575\) | 0.268886 | − | 0.465724i | 0.0112133 | − | 0.0194220i | ||||
\(576\) | 1.88798 | − | 2.33142i | 0.0786659 | − | 0.0971426i | ||||
\(577\) | 3.93668 | − | 6.81854i | 0.163886 | − | 0.283859i | −0.772373 | − | 0.635169i | \(-0.780930\pi\) |
0.936259 | + | 0.351310i | \(0.114264\pi\) | |||||||
\(578\) | −2.89009 | + | 16.3905i | −0.120212 | + | 0.681757i | ||||
\(579\) | 1.14996 | − | 2.52334i | 0.0477909 | − | 0.104866i | ||||
\(580\) | 0.438232 | + | 2.48534i | 0.0181966 | + | 0.103198i | ||||
\(581\) | 11.7188 | + | 16.2117i | 0.486179 | + | 0.672573i | ||||
\(582\) | −5.98722 | + | 13.1376i | −0.248178 | + | 0.544571i | ||||
\(583\) | −31.3726 | + | 11.4187i | −1.29932 | + | 0.472913i | ||||
\(584\) | 0.675897 | − | 1.17069i | 0.0279688 | − | 0.0484434i | ||||
\(585\) | −26.2629 | − | 30.2126i | −1.08584 | − | 1.24914i | ||||
\(586\) | −8.45075 | − | 14.6371i | −0.349097 | − | 0.604654i | ||||
\(587\) | −38.9778 | + | 14.1868i | −1.60879 | + | 0.585550i | −0.981199 | − | 0.192997i | \(-0.938179\pi\) |
−0.627586 | + | 0.778547i | \(0.715957\pi\) | |||||||
\(588\) | −11.1789 | − | 4.69382i | −0.461011 | − | 0.193570i | ||||
\(589\) | 9.59667 | − | 8.05256i | 0.395424 | − | 0.331800i | ||||
\(590\) | 20.4137 | − | 17.1292i | 0.840420 | − | 0.705196i | ||||
\(591\) | −29.7057 | + | 14.1687i | −1.22193 | + | 0.582823i | ||||
\(592\) | 0.509665 | − | 0.185503i | 0.0209471 | − | 0.00762412i | ||||
\(593\) | 4.52774 | − | 7.84227i | 0.185932 | − | 0.322043i | −0.757958 | − | 0.652303i | \(-0.773803\pi\) |
0.943890 | + | 0.330260i | \(0.107136\pi\) | |||||||
\(594\) | −7.59461 | − | 15.2329i | −0.311611 | − | 0.625014i | ||||
\(595\) | 2.81364 | − | 1.36391i | 0.115348 | − | 0.0559150i | ||||
\(596\) | −2.00676 | + | 11.3809i | −0.0822000 | + | 0.466180i | ||||
\(597\) | −13.0137 | + | 6.20716i | −0.532616 | + | 0.254042i | ||||
\(598\) | 0.581172 | + | 3.29599i | 0.0237659 | + | 0.134783i | ||||
\(599\) | 25.9231 | + | 9.43522i | 1.05919 | + | 0.385513i | 0.812123 | − | 0.583486i | \(-0.198312\pi\) |
0.247065 | + | 0.968999i | \(0.420534\pi\) | |||||||
\(600\) | 1.31528 | − | 1.33843i | 0.0536960 | − | 0.0546410i | ||||
\(601\) | −24.5814 | + | 8.94690i | −1.00270 | + | 0.364952i | −0.790624 | − | 0.612302i | \(-0.790244\pi\) |
−0.212073 | + | 0.977254i | \(0.568021\pi\) | |||||||
\(602\) | −8.42788 | − | 5.71430i | −0.343495 | − | 0.232897i | ||||
\(603\) | −7.15451 | − | 3.96589i | −0.291354 | − | 0.161504i | ||||
\(604\) | 16.4923 | 0.671060 | ||||||||
\(605\) | −0.0926615 | + | 0.525509i | −0.00376722 | + | 0.0213650i | ||||
\(606\) | 12.1608 | − | 26.6840i | 0.493997 | − | 1.08397i | ||||
\(607\) | −10.2567 | − | 3.73312i | −0.416305 | − | 0.151523i | 0.125371 | − | 0.992110i | \(-0.459988\pi\) |
−0.541676 | + | 0.840587i | \(0.682210\pi\) | |||||||
\(608\) | −1.44430 | − | 8.19103i | −0.0585740 | − | 0.332190i | ||||
\(609\) | 0.138856 | + | 5.84207i | 0.00562673 | + | 0.236733i | ||||
\(610\) | 11.1412 | + | 9.34858i | 0.451094 | + | 0.378513i | ||||
\(611\) | −6.12304 | −0.247712 | ||||||||
\(612\) | 0.0312507 | + | 1.79123i | 0.00126323 | + | 0.0724062i | ||||
\(613\) | −0.382093 | −0.0154326 | −0.00771630 | − | 0.999970i | \(-0.502456\pi\) | ||||
−0.00771630 | + | 0.999970i | \(0.502456\pi\) | |||||||
\(614\) | 3.44600 | − | 19.5432i | 0.139069 | − | 0.788700i | ||||
\(615\) | 8.05786 | + | 2.08394i | 0.324924 | + | 0.0840326i | ||||
\(616\) | 8.62143 | − | 0.885131i | 0.347367 | − | 0.0356630i | ||||
\(617\) | 25.9351 | + | 9.43961i | 1.04411 | + | 0.380024i | 0.806436 | − | 0.591321i | \(-0.201393\pi\) |
0.237672 | + | 0.971345i | \(0.423616\pi\) | |||||||
\(618\) | −24.7324 | + | 11.7966i | −0.994884 | + | 0.474530i | ||||
\(619\) | −6.72202 | + | 2.44661i | −0.270181 | + | 0.0983377i | −0.473558 | − | 0.880763i | \(-0.657030\pi\) |
0.203377 | + | 0.979100i | \(0.434808\pi\) | |||||||
\(620\) | 1.49040 | + | 2.58145i | 0.0598560 | + | 0.103674i | ||||
\(621\) | −1.15081 | − | 2.30824i | −0.0461803 | − | 0.0926264i | ||||
\(622\) | 23.0657 | 0.924849 | ||||||||
\(623\) | −44.2918 | − | 11.1567i | −1.77451 | − | 0.446985i | ||||
\(624\) | −0.916341 | + | 11.6426i | −0.0366830 | + | 0.466076i | ||||
\(625\) | −14.1022 | + | 11.8332i | −0.564089 | + | 0.473327i | ||||
\(626\) | −7.28068 | − | 2.64995i | −0.290994 | − | 0.105913i | ||||
\(627\) | −45.6873 | − | 11.8158i | −1.82458 | − | 0.471876i | ||||
\(628\) | 2.41219 | − | 13.6802i | 0.0962568 | − | 0.545899i | ||||
\(629\) | −0.161944 | + | 0.280495i | −0.00645713 | + | 0.0111841i | ||||
\(630\) | −12.5679 | + | 9.42299i | −0.500717 | + | 0.375421i | ||||
\(631\) | 4.02933 | + | 6.97900i | 0.160405 | + | 0.277830i | 0.935014 | − | 0.354611i | \(-0.115387\pi\) |
−0.774609 | + | 0.632440i | \(0.782053\pi\) | |||||||
\(632\) | −6.67713 | + | 2.43028i | −0.265602 | + | 0.0966712i | ||||
\(633\) | −8.09398 | + | 0.779327i | −0.321707 | + | 0.0309754i | ||||
\(634\) | 21.4591 | − | 18.0064i | 0.852252 | − | 0.715124i | ||||
\(635\) | 16.8022 | + | 6.11551i | 0.666776 | + | 0.242687i | ||||
\(636\) | −17.5717 | + | 1.69189i | −0.696763 | + | 0.0670876i | ||||
\(637\) | 46.2138 | − | 9.59029i | 1.83106 | − | 0.379981i | ||||
\(638\) | −2.08861 | − | 3.61757i | −0.0826888 | − | 0.143221i | ||||
\(639\) | 5.00077 | − | 6.17533i | 0.197827 | − | 0.244292i | ||||
\(640\) | 1.97904 | 0.0782283 | ||||||||
\(641\) | 14.7929 | + | 12.4127i | 0.584283 | + | 0.490272i | 0.886351 | − | 0.463015i | \(-0.153232\pi\) |
−0.302067 | + | 0.953287i | \(0.597677\pi\) | |||||||
\(642\) | −4.85213 | − | 1.25487i | −0.191498 | − | 0.0495257i | ||||
\(643\) | 25.5593 | − | 21.4468i | 1.00796 | − | 0.845780i | 0.0198936 | − | 0.999802i | \(-0.493667\pi\) |
0.988067 | + | 0.154022i | \(0.0492228\pi\) | |||||||
\(644\) | 1.30640 | − | 0.134124i | 0.0514795 | − | 0.00528521i | ||||
\(645\) | −11.9071 | + | 5.67935i | −0.468843 | + | 0.223624i | ||||
\(646\) | 3.80484 | + | 3.19264i | 0.149700 | + | 0.125613i | ||||
\(647\) | −13.1461 | − | 22.7697i | −0.516827 | − | 0.895170i | −0.999809 | − | 0.0195402i | \(-0.993780\pi\) |
0.482982 | − | 0.875630i | \(-0.339554\pi\) | |||||||
\(648\) | −1.87105 | − | 8.80336i | −0.0735020 | − | 0.345829i | ||||
\(649\) | −22.0542 | + | 38.1990i | −0.865704 | + | 1.49944i | ||||
\(650\) | −1.26851 | + | 7.19407i | −0.0497550 | + | 0.282174i | ||||
\(651\) | 2.51415 | + | 6.42805i | 0.0985374 | + | 0.251935i | ||||
\(652\) | −12.2475 | − | 4.45771i | −0.479647 | − | 0.174577i | ||||
\(653\) | −2.34264 | − | 13.2858i | −0.0916748 | − | 0.519913i | −0.995716 | − | 0.0924676i | \(-0.970525\pi\) |
0.904041 | − | 0.427446i | \(-0.140587\pi\) | |||||||
\(654\) | 24.2160 | − | 24.6421i | 0.946919 | − | 0.963584i | ||||
\(655\) | 21.0824 | + | 17.6902i | 0.823756 | + | 0.691213i | ||||
\(656\) | −1.21404 | − | 2.10278i | −0.0474004 | − | 0.0820999i | ||||
\(657\) | −1.45329 | − | 3.78604i | −0.0566981 | − | 0.147707i | ||||
\(658\) | −0.173379 | + | 2.39636i | −0.00675902 | + | 0.0934200i | ||||
\(659\) | 9.39594 | + | 7.88413i | 0.366014 | + | 0.307122i | 0.807182 | − | 0.590302i | \(-0.200991\pi\) |
−0.441168 | + | 0.897424i | \(0.645436\pi\) | |||||||
\(660\) | 4.65643 | − | 10.2175i | 0.181251 | − | 0.397715i | ||||
\(661\) | 12.6624 | − | 10.6250i | 0.492510 | − | 0.413265i | −0.362415 | − | 0.932017i | \(-0.618048\pi\) |
0.854925 | + | 0.518752i | \(0.173603\pi\) | |||||||
\(662\) | 7.81248 | − | 6.55545i | 0.303641 | − | 0.254785i | ||||
\(663\) | −4.04984 | − | 5.67771i | −0.157283 | − | 0.220504i | ||||
\(664\) | −5.79183 | − | 4.85992i | −0.224767 | − | 0.188601i | ||||
\(665\) | −3.14268 | + | 43.4366i | −0.121868 | + | 1.68440i | ||||
\(666\) | 0.529752 | − | 1.53847i | 0.0205275 | − | 0.0596145i | ||||
\(667\) | −0.316486 | − | 0.548170i | −0.0122544 | − | 0.0212252i | ||||
\(668\) | −17.4447 | − | 14.6378i | −0.674955 | − | 0.566355i | ||||
\(669\) | −2.61102 | − | 0.675268i | −0.100948 | − | 0.0261074i | ||||
\(670\) | −0.937057 | − | 5.31431i | −0.0362017 | − | 0.205310i | ||||
\(671\) | −22.6213 | − | 8.23347i | −0.873285 | − | 0.317850i | ||||
\(672\) | 4.53059 | + | 0.688296i | 0.174771 | + | 0.0265516i | ||||
\(673\) | −3.81185 | + | 21.6181i | −0.146936 | + | 0.833315i | 0.818856 | + | 0.573998i | \(0.194608\pi\) |
−0.965792 | + | 0.259317i | \(0.916503\pi\) | |||||||
\(674\) | −1.36798 | + | 2.36942i | −0.0526928 | + | 0.0912666i | ||||
\(675\) | −0.637214 | − | 5.59339i | −0.0245264 | − | 0.215290i | ||||
\(676\) | −16.2315 | − | 28.1138i | −0.624290 | − | 1.08130i | ||||
\(677\) | 13.6785 | + | 11.4776i | 0.525706 | + | 0.441120i | 0.866616 | − | 0.498976i | \(-0.166291\pi\) |
−0.340910 | + | 0.940096i | \(0.610735\pi\) | |||||||
\(678\) | −10.2977 | − | 7.07749i | −0.395481 | − | 0.271809i | ||||
\(679\) | −21.9384 | + | 2.25234i | −0.841919 | + | 0.0864368i | ||||
\(680\) | −0.905324 | + | 0.759657i | −0.0347176 | + | 0.0291315i | ||||
\(681\) | −5.44074 | + | 5.53649i | −0.208489 | + | 0.212159i | ||||
\(682\) | −3.77956 | − | 3.17143i | −0.144727 | − | 0.121440i | ||||
\(683\) | −22.2530 | −0.851488 | −0.425744 | − | 0.904844i | \(-0.639988\pi\) | ||||
−0.425744 | + | 0.904844i | \(0.639988\pi\) | |||||||
\(684\) | −21.8235 | − | 12.0972i | −0.834444 | − | 0.462549i | ||||
\(685\) | −11.0759 | − | 19.1840i | −0.423189 | − | 0.732985i | ||||
\(686\) | −2.44476 | − | 18.3582i | −0.0933412 | − | 0.700919i | ||||
\(687\) | −18.5219 | − | 25.9670i | −0.706656 | − | 0.990704i | ||||
\(688\) | 3.61651 | + | 1.31630i | 0.137878 | + | 0.0501835i | ||||
\(689\) | 52.6430 | − | 44.1727i | 2.00554 | − | 1.68285i | ||||
\(690\) | 0.705587 | − | 1.54825i | 0.0268612 | − | 0.0589409i | ||||
\(691\) | −29.9930 | + | 10.9166i | −1.14099 | + | 0.415285i | −0.842270 | − | 0.539056i | \(-0.818781\pi\) |
−0.298718 | + | 0.954342i | \(0.596559\pi\) | |||||||
\(692\) | −7.05826 | − | 12.2253i | −0.268315 | − | 0.464735i | ||||
\(693\) | 14.2135 | − | 21.7713i | 0.539926 | − | 0.827024i | ||||
\(694\) | −1.21645 | + | 2.10696i | −0.0461759 | + | 0.0799790i | ||||
\(695\) | −1.79050 | + | 10.1544i | −0.0679175 | + | 0.385180i | ||||
\(696\) | −0.590245 | − | 2.12839i | −0.0223732 | − | 0.0806764i | ||||
\(697\) | 1.36253 | + | 0.495920i | 0.0516095 | + | 0.0187843i | ||||
\(698\) | −3.28743 | + | 2.75848i | −0.124431 | + | 0.104410i | ||||
\(699\) | −14.8640 | − | 10.2159i | −0.562209 | − | 0.386399i | ||||
\(700\) | 2.77961 | + | 0.700160i | 0.105059 | + | 0.0264636i | ||||
\(701\) | −26.6856 | −1.00790 | −0.503950 | − | 0.863733i | \(-0.668121\pi\) | ||||
−0.503950 | + | 0.863733i | \(0.668121\pi\) | |||||||
\(702\) | 25.4137 | + | 24.1173i | 0.959179 | + | 0.910250i | ||||
\(703\) | −2.25557 | − | 3.90675i | −0.0850703 | − | 0.147346i | ||||
\(704\) | −3.07817 | + | 1.12036i | −0.116013 | + | 0.0422253i | ||||
\(705\) | 2.56534 | + | 1.76312i | 0.0966162 | + | 0.0664031i | ||||
\(706\) | 20.4486 | + | 7.44269i | 0.769594 | + | 0.280109i | ||||
\(707\) | 44.5596 | − | 4.57477i | 1.67584 | − | 0.172052i | ||||
\(708\) | −16.3470 | + | 16.6347i | −0.614359 | + | 0.625171i | ||||
\(709\) | 0.249226 | − | 1.41343i | 0.00935986 | − | 0.0530824i | −0.979770 | − | 0.200126i | \(-0.935865\pi\) |
0.989130 | + | 0.147044i | \(0.0469759\pi\) | |||||||
\(710\) | 5.24196 | 0.196727 | ||||||||
\(711\) | −6.94030 | + | 20.1555i | −0.260281 | + | 0.755891i | ||||
\(712\) | 17.2637 | 0.646983 | ||||||||
\(713\) | −0.572715 | − | 0.480565i | −0.0214484 | − | 0.0179973i | ||||
\(714\) | −2.33675 | + | 1.42421i | −0.0874508 | + | 0.0532997i | ||||
\(715\) | 7.59033 | + | 43.0469i | 0.283862 | + | 1.60986i | ||||
\(716\) | −0.0150906 | − | 0.00549254i | −0.000563964 | − | 0.000205266i | ||||
\(717\) | 9.66983 | + | 13.5567i | 0.361127 | + | 0.506285i | ||||
\(718\) | −5.04296 | + | 28.6000i | −0.188202 | + | 1.06734i | ||||
\(719\) | −41.1637 | −1.53515 | −0.767573 | − | 0.640962i | \(-0.778536\pi\) | ||||
−0.767573 | + | 0.640962i | \(0.778536\pi\) | |||||||
\(720\) | 3.73638 | − | 4.61397i | 0.139247 | − | 0.171953i | ||||
\(721\) | −34.6443 | − | 23.4896i | −1.29022 | − | 0.874800i | ||||
\(722\) | −47.1527 | + | 17.1622i | −1.75484 | + | 0.638711i | ||||
\(723\) | 47.8844 | + | 12.3840i | 1.78084 | + | 0.460565i | ||||
\(724\) | −3.71206 | − | 1.35108i | −0.137958 | − | 0.0502124i | ||||
\(725\) | −0.239907 | − | 1.36058i | −0.00890993 | − | 0.0505307i | ||||
\(726\) | 0.0366440 | − | 0.465580i | 0.00135999 | − | 0.0172793i | ||||
\(727\) | −3.36954 | + | 19.1096i | −0.124969 | + | 0.708737i | 0.856357 | + | 0.516385i | \(0.172723\pi\) |
−0.981326 | + | 0.192352i | \(0.938389\pi\) | |||||||
\(728\) | −16.0527 | + | 7.78155i | −0.594952 | + | 0.288403i | ||||
\(729\) | −24.0569 | − | 12.2584i | −0.890995 | − | 0.454013i | ||||
\(730\) | 1.33763 | − | 2.31684i | 0.0495078 | − | 0.0857500i | ||||
\(731\) | −2.15966 | + | 0.786052i | −0.0798779 | + | 0.0290732i | ||||
\(732\) | −10.4900 | − | 7.20967i | −0.387723 | − | 0.266477i | ||||
\(733\) | −18.4826 | + | 15.5088i | −0.682672 | + | 0.572830i | −0.916786 | − | 0.399379i | \(-0.869226\pi\) |
0.234114 | + | 0.972209i | \(0.424781\pi\) | |||||||
\(734\) | 16.5140 | − | 13.8569i | 0.609542 | − | 0.511467i | ||||
\(735\) | −22.1235 | − | 9.28924i | −0.816037 | − | 0.342639i | ||||
\(736\) | −0.466434 | + | 0.169768i | −0.0171930 | + | 0.00625774i | ||||
\(737\) | 4.46600 | + | 7.73534i | 0.164507 | + | 0.284935i | ||||
\(738\) | −7.19457 | − | 1.13957i | −0.264836 | − | 0.0419482i | ||||
\(739\) | −19.8802 | + | 34.4335i | −0.731304 | + | 1.26666i | 0.225022 | + | 0.974354i | \(0.427755\pi\) |
−0.956326 | + | 0.292302i | \(0.905579\pi\) | |||||||
\(740\) | 1.00865 | − | 0.367117i | 0.0370785 | − | 0.0134955i | ||||
\(741\) | 96.6881 | − | 9.30959i | 3.55193 | − | 0.341996i | ||||
\(742\) | −15.7972 | − | 21.8536i | −0.579932 | − | 0.802270i | ||||
\(743\) | 0.703175 | + | 3.98791i | 0.0257970 | + | 0.146302i | 0.994986 | − | 0.100017i | \(-0.0318899\pi\) |
−0.969189 | + | 0.246320i | \(0.920779\pi\) | |||||||
\(744\) | −1.51493 | − | 2.12387i | −0.0555400 | − | 0.0778648i | ||||
\(745\) | −3.97145 | + | 22.5232i | −0.145503 | + | 0.825187i | ||||
\(746\) | −0.449046 | + | 0.777771i | −0.0164407 | + | 0.0284762i | ||||
\(747\) | −22.2654 | + | 4.32775i | −0.814648 | + | 0.158344i | ||||
\(748\) | 0.978078 | − | 1.69408i | 0.0357621 | − | 0.0619417i | ||||
\(749\) | −2.09242 | − | 7.36411i | −0.0764552 | − | 0.269079i | ||||
\(750\) | 14.6159 | − | 14.8731i | 0.533697 | − | 0.543089i | ||||
\(751\) | −2.84153 | − | 16.1151i | −0.103689 | − | 0.588050i | −0.991736 | − | 0.128297i | \(-0.959049\pi\) |
0.888047 | − | 0.459753i | \(-0.152062\pi\) | |||||||
\(752\) | −0.157691 | − | 0.894312i | −0.00575041 | − | 0.0326122i | ||||
\(753\) | 11.6833 | − | 5.57258i | 0.425763 | − | 0.203076i | ||||
\(754\) | 6.58662 | + | 5.52683i | 0.239871 | + | 0.201275i | ||||
\(755\) | 32.6388 | 1.18785 | ||||||||
\(756\) | 10.1584 | − | 9.26323i | 0.369457 | − | 0.336900i | ||||
\(757\) | 14.9344 | 0.542799 | 0.271400 | − | 0.962467i | \(-0.412514\pi\) | ||||
0.271400 | + | 0.962467i | \(0.412514\pi\) | |||||||
\(758\) | −18.8159 | − | 15.7884i | −0.683426 | − | 0.573462i | ||||
\(759\) | −0.220973 | + | 2.80758i | −0.00802082 | + | 0.101909i | ||||
\(760\) | −2.85832 | − | 16.2103i | −0.103682 | − | 0.588011i | ||||
\(761\) | 5.62078 | + | 31.8770i | 0.203753 | + | 1.15554i | 0.899390 | + | 0.437147i | \(0.144011\pi\) |
−0.695637 | + | 0.718394i | \(0.744878\pi\) | |||||||
\(762\) | −15.1506 | − | 3.91827i | −0.548847 | − | 0.141944i | ||||
\(763\) | 51.1762 | + | 12.8908i | 1.85270 | + | 0.466680i | ||||
\(764\) | 8.94035 | − | 15.4851i | 0.323451 | − | 0.560233i | ||||
\(765\) | 0.0618462 | + | 3.54491i | 0.00223606 | + | 0.128167i | ||||
\(766\) | 4.53623 | − | 7.85698i | 0.163901 | − | 0.283884i | ||||
\(767\) | 15.7657 | − | 89.4119i | 0.569268 | − | 3.22848i | ||||
\(768\) | −1.72408 | + | 0.166002i | −0.0622123 | + | 0.00599009i | ||||
\(769\) | 1.34579 | <