Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [221,2,Mod(44,221)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(221, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("221.44");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 221 = 13 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 221.z (of order \(16\), degree \(8\), 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: | \(1.76469388467\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 216.4 | ||
Character | \(\chi\) | \(=\) | 221.216 |
Dual form | 221.2.z.a.44.4 |
$q$-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 \(\left(\mathbb{Z}/221\mathbb{Z}\right)^\times\).
\(n\) | \(105\) | \(171\) |
\(\chi(n)\) | \(e\left(\frac{13}{16}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.728016 | + | 1.75759i | −0.514785 | + | 1.24280i | 0.426285 | + | 0.904589i | \(0.359822\pi\) |
−0.941070 | + | 0.338212i | \(0.890178\pi\) | |||||||
\(3\) | −0.779718 | + | 0.520991i | −0.450170 | + | 0.300794i | −0.759911 | − | 0.650027i | \(-0.774758\pi\) |
0.309741 | + | 0.950821i | \(0.399758\pi\) | |||||||
\(4\) | −1.14489 | − | 1.14489i | −0.572445 | − | 0.572445i | ||||
\(5\) | −1.76865 | − | 2.64697i | −0.790964 | − | 1.18376i | −0.979450 | − | 0.201685i | \(-0.935358\pi\) |
0.188487 | − | 0.982076i | \(-0.439642\pi\) | |||||||
\(6\) | −0.348039 | − | 1.74971i | −0.142086 | − | 0.714317i | ||||
\(7\) | 2.64641 | − | 3.96063i | 1.00025 | − | 1.49698i | 0.138040 | − | 0.990427i | \(-0.455920\pi\) |
0.862209 | − | 0.506553i | \(-0.169080\pi\) | |||||||
\(8\) | −0.669433 | + | 0.277288i | −0.236680 | + | 0.0980362i | ||||
\(9\) | −0.811522 | + | 1.95919i | −0.270507 | + | 0.653062i | ||||
\(10\) | 5.93988 | − | 1.18152i | 1.87836 | − | 0.373628i | ||||
\(11\) | −0.840561 | − | 4.22578i | −0.253439 | − | 1.27412i | −0.872436 | − | 0.488729i | \(-0.837461\pi\) |
0.618997 | − | 0.785393i | \(-0.287539\pi\) | |||||||
\(12\) | 1.48917 | + | 0.296214i | 0.429886 | + | 0.0855096i | ||||
\(13\) | −0.196515 | − | 3.60019i | −0.0545034 | − | 0.998514i | ||||
\(14\) | 5.03453 | + | 7.53470i | 1.34553 | + | 2.01373i | ||||
\(15\) | 2.75809 | + | 1.14244i | 0.712137 | + | 0.294977i | ||||
\(16\) | − | 4.61669i | − | 1.15417i | ||||||
\(17\) | −0.283954 | + | 4.11332i | −0.0688688 | + | 0.997626i | ||||
\(18\) | −2.85264 | − | 2.85264i | −0.672373 | − | 0.672373i | ||||
\(19\) | −0.935706 | + | 2.25899i | −0.214666 | + | 0.518249i | −0.994129 | − | 0.108199i | \(-0.965492\pi\) |
0.779464 | + | 0.626448i | \(0.215492\pi\) | |||||||
\(20\) | −1.00558 | + | 5.05539i | −0.224855 | + | 1.13042i | ||||
\(21\) | 4.46694i | 0.974765i | ||||||||
\(22\) | 8.03912 | + | 1.59908i | 1.71395 | + | 0.340925i | ||||
\(23\) | −0.411512 | + | 0.615871i | −0.0858061 | + | 0.128418i | −0.871890 | − | 0.489702i | \(-0.837105\pi\) |
0.786084 | + | 0.618120i | \(0.212105\pi\) | |||||||
\(24\) | 0.377505 | − | 0.564975i | 0.0770578 | − | 0.115325i | ||||
\(25\) | −1.96491 | + | 4.74372i | −0.392983 | + | 0.948744i | ||||
\(26\) | 6.47071 | + | 2.27561i | 1.26901 | + | 0.446283i | ||||
\(27\) | −0.936803 | − | 4.70963i | −0.180288 | − | 0.906369i | ||||
\(28\) | −7.56434 | + | 1.50464i | −1.42953 | + | 0.284350i | ||||
\(29\) | 1.26782 | − | 6.37378i | 0.235429 | − | 1.18358i | −0.664413 | − | 0.747366i | \(-0.731318\pi\) |
0.899842 | − | 0.436216i | \(-0.143682\pi\) | |||||||
\(30\) | −4.01587 | + | 4.01587i | −0.733195 | + | 0.733195i | ||||
\(31\) | −0.451196 | + | 2.26831i | −0.0810371 | + | 0.407401i | 0.918880 | + | 0.394537i | \(0.129095\pi\) |
−0.999917 | + | 0.0128643i | \(0.995905\pi\) | |||||||
\(32\) | 6.77537 | + | 2.80645i | 1.19773 | + | 0.496115i | ||||
\(33\) | 2.85700 | + | 2.85700i | 0.497339 | + | 0.497339i | ||||
\(34\) | −7.02279 | − | 3.49363i | −1.20440 | − | 0.599153i | ||||
\(35\) | −15.1643 | −2.56323 | ||||||||
\(36\) | 3.17215 | − | 1.31395i | 0.528692 | − | 0.218992i | ||||
\(37\) | 1.05065 | − | 5.28200i | 0.172727 | − | 0.868355i | −0.793085 | − | 0.609111i | \(-0.791527\pi\) |
0.965812 | − | 0.259244i | \(-0.0834734\pi\) | |||||||
\(38\) | −3.28917 | − | 3.28917i | −0.533574 | − | 0.533574i | ||||
\(39\) | 2.02889 | + | 2.70475i | 0.324883 | + | 0.433107i | ||||
\(40\) | 1.91797 | + | 1.28154i | 0.303257 | + | 0.202630i | ||||
\(41\) | −5.16482 | − | 3.45102i | −0.806609 | − | 0.538959i | 0.0825339 | − | 0.996588i | \(-0.473699\pi\) |
−0.889143 | + | 0.457629i | \(0.848699\pi\) | |||||||
\(42\) | −7.85102 | − | 3.25200i | −1.21144 | − | 0.501795i | ||||
\(43\) | 2.32276 | + | 0.962120i | 0.354218 | + | 0.146722i | 0.552695 | − | 0.833384i | \(-0.313599\pi\) |
−0.198477 | + | 0.980106i | \(0.563599\pi\) | |||||||
\(44\) | −3.87570 | + | 5.80040i | −0.584285 | + | 0.874444i | ||||
\(45\) | 6.62120 | − | 1.31704i | 0.987031 | − | 0.196333i | ||||
\(46\) | −0.782859 | − | 1.17163i | −0.115426 | − | 0.172748i | ||||
\(47\) | 8.28997 | 1.20922 | 0.604608 | − | 0.796523i | \(-0.293330\pi\) | ||||
0.604608 | + | 0.796523i | \(0.293330\pi\) | |||||||
\(48\) | 2.40526 | + | 3.59972i | 0.347169 | + | 0.519575i | ||||
\(49\) | −6.00435 | − | 14.4958i | −0.857764 | − | 2.07083i | ||||
\(50\) | −6.90701 | − | 6.90701i | −0.976798 | − | 0.976798i | ||||
\(51\) | −1.92160 | − | 3.35516i | −0.269077 | − | 0.469817i | ||||
\(52\) | −3.89683 | + | 4.34681i | −0.540394 | + | 0.602794i | ||||
\(53\) | −0.982148 | − | 2.37112i | −0.134908 | − | 0.325698i | 0.841960 | − | 0.539540i | \(-0.181402\pi\) |
−0.976868 | + | 0.213843i | \(0.931402\pi\) | |||||||
\(54\) | 8.95959 | + | 1.78217i | 1.21925 | + | 0.242523i | ||||
\(55\) | −9.69886 | + | 9.69886i | −1.30779 | + | 1.30779i | ||||
\(56\) | −0.673358 | + | 3.38520i | −0.0899813 | + | 0.452366i | ||||
\(57\) | −0.447329 | − | 2.24887i | −0.0592501 | − | 0.297871i | ||||
\(58\) | 10.2795 | + | 6.86853i | 1.34976 | + | 0.901882i | ||||
\(59\) | −11.1116 | + | 4.60257i | −1.44661 | + | 0.599204i | −0.961390 | − | 0.275190i | \(-0.911259\pi\) |
−0.485217 | + | 0.874394i | \(0.661259\pi\) | |||||||
\(60\) | −1.84975 | − | 4.46568i | −0.238801 | − | 0.576517i | ||||
\(61\) | 1.33429 | + | 6.70794i | 0.170839 | + | 0.858863i | 0.967195 | + | 0.254036i | \(0.0817580\pi\) |
−0.796356 | + | 0.604828i | \(0.793242\pi\) | |||||||
\(62\) | −3.65828 | − | 2.44438i | −0.464602 | − | 0.310437i | ||||
\(63\) | 5.61200 | + | 8.39895i | 0.707046 | + | 1.05817i | ||||
\(64\) | −3.33617 | + | 3.33617i | −0.417021 | + | 0.417021i | ||||
\(65\) | −9.18203 | + | 6.88764i | −1.13889 | + | 0.854307i | ||||
\(66\) | −7.10136 | + | 2.94148i | −0.874116 | + | 0.362071i | ||||
\(67\) | 3.57026 | − | 3.57026i | 0.436176 | − | 0.436176i | −0.454547 | − | 0.890723i | \(-0.650199\pi\) |
0.890723 | + | 0.454547i | \(0.150199\pi\) | |||||||
\(68\) | 5.03439 | − | 4.38420i | 0.610509 | − | 0.531662i | ||||
\(69\) | − | 0.694599i | − | 0.0836199i | ||||||
\(70\) | 11.0398 | − | 26.6525i | 1.31951 | − | 3.18558i | ||||
\(71\) | −3.46213 | − | 0.688661i | −0.410879 | − | 0.0817290i | −0.0146773 | − | 0.999892i | \(-0.504672\pi\) |
−0.396202 | + | 0.918163i | \(0.629672\pi\) | |||||||
\(72\) | − | 1.53657i | − | 0.181087i | ||||||
\(73\) | 1.83238 | − | 1.22436i | 0.214464 | − | 0.143300i | −0.443699 | − | 0.896176i | \(-0.646334\pi\) |
0.658163 | + | 0.752876i | \(0.271334\pi\) | |||||||
\(74\) | 8.51867 | + | 5.69199i | 0.990275 | + | 0.661681i | ||||
\(75\) | −0.939357 | − | 4.72247i | −0.108468 | − | 0.545303i | ||||
\(76\) | 3.65758 | − | 1.51502i | 0.419553 | − | 0.173785i | ||||
\(77\) | −18.9613 | − | 7.85401i | −2.16084 | − | 0.895047i | ||||
\(78\) | −6.23090 | + | 1.59685i | −0.705511 | + | 0.180808i | ||||
\(79\) | −4.27051 | + | 6.39128i | −0.480470 | + | 0.719075i | −0.989952 | − | 0.141407i | \(-0.954837\pi\) |
0.509481 | + | 0.860482i | \(0.329837\pi\) | |||||||
\(80\) | −12.2202 | + | 8.16531i | −1.36626 | + | 0.912909i | ||||
\(81\) | −1.31437 | − | 1.31437i | −0.146041 | − | 0.146041i | ||||
\(82\) | 9.82554 | − | 6.56522i | 1.08505 | − | 0.725007i | ||||
\(83\) | 16.3414 | + | 6.76885i | 1.79371 | + | 0.742977i | 0.988738 | + | 0.149660i | \(0.0478179\pi\) |
0.804969 | + | 0.593317i | \(0.202182\pi\) | |||||||
\(84\) | 5.11415 | − | 5.11415i | 0.557999 | − | 0.557999i | ||||
\(85\) | 11.3900 | − | 6.52339i | 1.23542 | − | 0.707561i | ||||
\(86\) | −3.38202 | + | 3.38202i | −0.364693 | + | 0.364693i | ||||
\(87\) | 2.33214 | + | 5.63028i | 0.250031 | + | 0.603629i | ||||
\(88\) | 1.73446 | + | 2.59580i | 0.184894 | + | 0.276713i | ||||
\(89\) | 3.76670i | 0.399269i | 0.979870 | + | 0.199635i | \(0.0639755\pi\) | ||||
−0.979870 | + | 0.199635i | \(0.936024\pi\) | |||||||
\(90\) | −2.50553 | + | 12.5962i | −0.264106 | + | 1.32775i | ||||
\(91\) | −14.7791 | − | 8.74927i | −1.54927 | − | 0.917172i | ||||
\(92\) | 1.17624 | − | 0.233968i | 0.122631 | − | 0.0243929i | ||||
\(93\) | −0.829966 | − | 2.00371i | −0.0860634 | − | 0.207775i | ||||
\(94\) | −6.03523 | + | 14.5703i | −0.622486 | + | 1.50281i | ||||
\(95\) | 7.63442 | − | 1.51858i | 0.783275 | − | 0.155803i | ||||
\(96\) | −6.74501 | + | 1.34167i | −0.688410 | + | 0.136933i | ||||
\(97\) | 1.06819 | − | 0.713745i | 0.108459 | − | 0.0724698i | −0.500158 | − | 0.865934i | \(-0.666725\pi\) |
0.608617 | + | 0.793464i | \(0.291725\pi\) | |||||||
\(98\) | 29.8489 | 3.01519 | ||||||||
\(99\) | 8.96123 | + | 1.78250i | 0.900637 | + | 0.179148i | ||||
\(100\) | 7.68064 | − | 3.18143i | 0.768064 | − | 0.318143i | ||||
\(101\) | 15.5459 | 1.54687 | 0.773436 | − | 0.633875i | \(-0.218537\pi\) | ||||
0.773436 | + | 0.633875i | \(0.218537\pi\) | |||||||
\(102\) | 7.29595 | − | 0.934759i | 0.722406 | − | 0.0925549i | ||||
\(103\) | 14.0346i | 1.38287i | 0.722439 | + | 0.691435i | \(0.243021\pi\) | ||||
−0.722439 | + | 0.691435i | \(0.756979\pi\) | |||||||
\(104\) | 1.12984 | + | 2.35560i | 0.110790 | + | 0.230985i | ||||
\(105\) | 11.8238 | − | 7.90044i | 1.15389 | − | 0.771004i | ||||
\(106\) | 4.88246 | 0.474226 | ||||||||
\(107\) | −0.532700 | − | 0.105961i | −0.0514981 | − | 0.0102436i | 0.169274 | − | 0.985569i | \(-0.445858\pi\) |
−0.220772 | + | 0.975325i | \(0.570858\pi\) | |||||||
\(108\) | −4.31947 | + | 6.46454i | −0.415641 | + | 0.622051i | ||||
\(109\) | 0.852452 | + | 0.569590i | 0.0816501 | + | 0.0545569i | 0.595725 | − | 0.803188i | \(-0.296865\pi\) |
−0.514075 | + | 0.857745i | \(0.671865\pi\) | |||||||
\(110\) | −9.98566 | − | 24.1075i | −0.952095 | − | 2.29856i | ||||
\(111\) | 1.93266 | + | 4.66585i | 0.183440 | + | 0.442863i | ||||
\(112\) | −18.2850 | − | 12.2177i | −1.72777 | − | 1.15446i | ||||
\(113\) | 6.45135 | − | 9.65513i | 0.606892 | − | 0.908278i | −0.393045 | − | 0.919519i | \(-0.628578\pi\) |
0.999937 | + | 0.0112413i | \(0.00357828\pi\) | |||||||
\(114\) | 4.27825 | + | 0.850997i | 0.400695 | + | 0.0797032i | ||||
\(115\) | 2.35801 | 0.219886 | ||||||||
\(116\) | −8.74880 | + | 5.84576i | −0.812305 | + | 0.542765i | ||||
\(117\) | 7.21292 | + | 2.53662i | 0.666835 | + | 0.234511i | ||||
\(118\) | − | 22.8803i | − | 2.10631i | ||||||
\(119\) | 15.5399 | + | 12.0102i | 1.42454 | + | 1.10097i | ||||
\(120\) | −2.16315 | −0.197467 | ||||||||
\(121\) | −6.98803 | + | 2.89454i | −0.635275 | + | 0.263140i | ||||
\(122\) | −12.7612 | − | 2.53835i | −1.15534 | − | 0.229812i | ||||
\(123\) | 5.82505 | 0.525227 | ||||||||
\(124\) | 3.11354 | − | 2.08040i | 0.279604 | − | 0.186825i | ||||
\(125\) | 0.420151 | − | 0.0835732i | 0.0375795 | − | 0.00747502i | ||||
\(126\) | −18.8475 | + | 3.74900i | −1.67907 | + | 0.333988i | ||||
\(127\) | 4.86454 | − | 11.7440i | 0.431658 | − | 1.04211i | −0.547095 | − | 0.837070i | \(-0.684266\pi\) |
0.978753 | − | 0.205043i | \(-0.0657336\pi\) | |||||||
\(128\) | 2.17808 | + | 5.25835i | 0.192517 | + | 0.464777i | ||||
\(129\) | −2.31236 | + | 0.459956i | −0.203592 | + | 0.0404969i | ||||
\(130\) | −5.42096 | − | 21.1525i | −0.475450 | − | 1.85520i | ||||
\(131\) | −1.97922 | + | 9.95023i | −0.172926 | + | 0.869355i | 0.792739 | + | 0.609562i | \(0.208655\pi\) |
−0.965664 | + | 0.259794i | \(0.916345\pi\) | |||||||
\(132\) | − | 6.54189i | − | 0.569398i | ||||||
\(133\) | 6.47079 | + | 9.68422i | 0.561088 | + | 0.839728i | ||||
\(134\) | 3.67583 | + | 8.87424i | 0.317543 | + | 0.766618i | ||||
\(135\) | −10.8094 | + | 10.8094i | −0.930322 | + | 0.930322i | ||||
\(136\) | −0.950487 | − | 2.83233i | −0.0815036 | − | 0.242870i | ||||
\(137\) | 2.10829 | − | 2.10829i | 0.180123 | − | 0.180123i | −0.611286 | − | 0.791409i | \(-0.709348\pi\) |
0.791409 | + | 0.611286i | \(0.209348\pi\) | |||||||
\(138\) | 1.22082 | + | 0.505680i | 0.103923 | + | 0.0430463i | ||||
\(139\) | −7.65597 | + | 5.11556i | −0.649371 | + | 0.433896i | −0.836146 | − | 0.548507i | \(-0.815196\pi\) |
0.186775 | + | 0.982403i | \(0.440196\pi\) | |||||||
\(140\) | 17.3614 | + | 17.3614i | 1.46730 | + | 1.46730i | ||||
\(141\) | −6.46384 | + | 4.31900i | −0.544353 | + | 0.363725i | ||||
\(142\) | 3.73087 | − | 5.58364i | 0.313088 | − | 0.468569i | ||||
\(143\) | −15.0484 | + | 3.85661i | −1.25841 | + | 0.322506i | ||||
\(144\) | 9.04496 | + | 3.74655i | 0.753747 | + | 0.312212i | ||||
\(145\) | −19.1135 | + | 7.91709i | −1.58729 | + | 0.657479i | ||||
\(146\) | 0.817913 | + | 4.11192i | 0.0676909 | + | 0.340305i | ||||
\(147\) | 12.2339 | + | 8.17441i | 1.00903 | + | 0.674214i | ||||
\(148\) | −7.25018 | + | 4.84442i | −0.595961 | + | 0.398209i | ||||
\(149\) | − | 10.4084i | − | 0.852691i | −0.904560 | − | 0.426346i | \(-0.859801\pi\) | ||
0.904560 | − | 0.426346i | \(-0.140199\pi\) | |||||||
\(150\) | 8.98401 | + | 1.78703i | 0.733541 | + | 0.145910i | ||||
\(151\) | 4.94201 | − | 11.9311i | 0.402175 | − | 0.970937i | −0.584962 | − | 0.811061i | \(-0.698890\pi\) |
0.987137 | − | 0.159876i | \(-0.0511095\pi\) | |||||||
\(152\) | − | 1.77171i | − | 0.143704i | ||||||
\(153\) | −7.82832 | − | 3.89436i | −0.632882 | − | 0.314841i | ||||
\(154\) | 27.6082 | − | 27.6082i | 2.22473 | − | 2.22473i | ||||
\(155\) | 6.80216 | − | 2.81755i | 0.546363 | − | 0.226311i | ||||
\(156\) | 0.773783 | − | 5.41950i | 0.0619522 | − | 0.433907i | ||||
\(157\) | 4.12308 | − | 4.12308i | 0.329058 | − | 0.329058i | −0.523171 | − | 0.852228i | \(-0.675251\pi\) |
0.852228 | + | 0.523171i | \(0.175251\pi\) | |||||||
\(158\) | −8.12422 | − | 12.1587i | −0.646328 | − | 0.967298i | ||||
\(159\) | 2.00113 | + | 1.33711i | 0.158700 | + | 0.106040i | ||||
\(160\) | −4.55466 | − | 22.8978i | −0.360078 | − | 1.81023i | ||||
\(161\) | 1.35021 | + | 3.25969i | 0.106411 | + | 0.256900i | ||||
\(162\) | 3.26701 | − | 1.35324i | 0.256680 | − | 0.106320i | ||||
\(163\) | 15.3759 | + | 10.2738i | 1.20433 | + | 0.804709i | 0.985271 | − | 0.171002i | \(-0.0547006\pi\) |
0.219061 | + | 0.975711i | \(0.429701\pi\) | |||||||
\(164\) | 1.96211 | + | 9.86418i | 0.153215 | + | 0.770263i | ||||
\(165\) | 2.50936 | − | 12.6154i | 0.195353 | − | 0.982107i | ||||
\(166\) | −23.7937 | + | 23.7937i | −1.84675 | + | 1.84675i | ||||
\(167\) | −7.22386 | − | 1.43691i | −0.558999 | − | 0.111192i | −0.0924986 | − | 0.995713i | \(-0.529485\pi\) |
−0.466500 | + | 0.884521i | \(0.654485\pi\) | |||||||
\(168\) | −1.23863 | − | 2.99032i | −0.0955623 | − | 0.230708i | ||||
\(169\) | −12.9228 | + | 1.41498i | −0.994059 | + | 0.108845i | ||||
\(170\) | 3.17330 | + | 24.7681i | 0.243381 | + | 1.89963i | ||||
\(171\) | −3.66645 | − | 3.66645i | −0.280380 | − | 0.280380i | ||||
\(172\) | −1.55779 | − | 3.76083i | −0.118780 | − | 0.286761i | ||||
\(173\) | −4.84341 | − | 7.24867i | −0.368237 | − | 0.551106i | 0.600363 | − | 0.799727i | \(-0.295023\pi\) |
−0.968601 | + | 0.248621i | \(0.920023\pi\) | |||||||
\(174\) | −11.5935 | −0.878904 | ||||||||
\(175\) | 13.5882 | + | 20.3361i | 1.02717 | + | 1.53727i | ||||
\(176\) | −19.5091 | + | 3.88061i | −1.47056 | + | 0.292512i | ||||
\(177\) | 6.26601 | − | 9.37775i | 0.470982 | − | 0.704875i | ||||
\(178\) | −6.62030 | − | 2.74222i | −0.496212 | − | 0.205538i | ||||
\(179\) | 2.50383 | + | 1.03712i | 0.187145 | + | 0.0775180i | 0.474288 | − | 0.880370i | \(-0.342706\pi\) |
−0.287143 | + | 0.957888i | \(0.592706\pi\) | |||||||
\(180\) | −9.08841 | − | 6.07268i | −0.677410 | − | 0.452631i | ||||
\(181\) | −5.54012 | − | 3.70179i | −0.411794 | − | 0.275152i | 0.332370 | − | 0.943149i | \(-0.392152\pi\) |
−0.744164 | + | 0.667997i | \(0.767152\pi\) | |||||||
\(182\) | 26.1370 | − | 19.6059i | 1.93740 | − | 1.45329i | ||||
\(183\) | −4.53515 | − | 4.53515i | −0.335248 | − | 0.335248i | ||||
\(184\) | 0.104706 | − | 0.526392i | 0.00771902 | − | 0.0388061i | ||||
\(185\) | −15.8395 | + | 6.56094i | −1.16454 | + | 0.482370i | ||||
\(186\) | 4.12593 | 0.302528 | ||||||||
\(187\) | 17.6207 | − | 2.25757i | 1.28855 | − | 0.165090i | ||||
\(188\) | −9.49109 | − | 9.49109i | −0.692209 | − | 0.692209i | ||||
\(189\) | −21.1323 | − | 8.75328i | −1.53715 | − | 0.636707i | ||||
\(190\) | −2.88895 | + | 14.5237i | −0.209586 | + | 1.05366i | ||||
\(191\) | 2.23832 | − | 2.23832i | 0.161959 | − | 0.161959i | −0.621475 | − | 0.783434i | \(-0.713466\pi\) |
0.783434 | + | 0.621475i | \(0.213466\pi\) | |||||||
\(192\) | 0.863157 | − | 4.33939i | 0.0622930 | − | 0.313168i | ||||
\(193\) | −18.3473 | + | 3.64950i | −1.32067 | + | 0.262697i | −0.804582 | − | 0.593841i | \(-0.797611\pi\) |
−0.516084 | + | 0.856538i | \(0.672611\pi\) | |||||||
\(194\) | 0.476805 | + | 2.39706i | 0.0342326 | + | 0.172099i | ||||
\(195\) | 3.57100 | − | 10.1542i | 0.255724 | − | 0.727156i | ||||
\(196\) | −9.72175 | + | 23.4704i | −0.694411 | + | 1.67646i | ||||
\(197\) | 11.2465 | − | 16.8315i | 0.801277 | − | 1.19920i | −0.175404 | − | 0.984497i | \(-0.556123\pi\) |
0.976680 | − | 0.214699i | \(-0.0688769\pi\) | |||||||
\(198\) | −9.65682 | + | 14.4524i | −0.686280 | + | 1.02709i | ||||
\(199\) | −1.21688 | − | 0.242052i | −0.0862622 | − | 0.0171586i | 0.151770 | − | 0.988416i | \(-0.451503\pi\) |
−0.238033 | + | 0.971257i | \(0.576503\pi\) | |||||||
\(200\) | − | 3.72045i | − | 0.263076i | ||||||
\(201\) | −0.923722 | + | 4.64387i | −0.0651543 | + | 0.327553i | ||||
\(202\) | −11.3176 | + | 27.3232i | −0.796306 | + | 1.92245i | ||||
\(203\) | −21.8890 | − | 21.8890i | −1.53631 | − | 1.53631i | ||||
\(204\) | −1.64128 | + | 6.04131i | −0.114912 | + | 0.422976i | ||||
\(205\) | 19.7748i | 1.38113i | ||||||||
\(206\) | −24.6670 | − | 10.2174i | −1.71863 | − | 0.711881i | ||||
\(207\) | −0.872655 | − | 1.30602i | −0.0606537 | − | 0.0907747i | ||||
\(208\) | −16.6210 | + | 0.907249i | −1.15246 | + | 0.0629064i | ||||
\(209\) | 10.3325 | + | 2.05527i | 0.714717 | + | 0.142166i | ||||
\(210\) | 5.27776 | + | 26.5331i | 0.364200 | + | 1.83096i | ||||
\(211\) | 15.9892 | − | 3.18045i | 1.10074 | − | 0.218951i | 0.388892 | − | 0.921283i | \(-0.372858\pi\) |
0.711849 | + | 0.702332i | \(0.247858\pi\) | |||||||
\(212\) | −1.59021 | + | 3.83912i | −0.109216 | + | 0.263672i | ||||
\(213\) | 3.05827 | − | 1.26678i | 0.209549 | − | 0.0867982i | ||||
\(214\) | 0.574049 | − | 0.859126i | 0.0392412 | − | 0.0587286i | ||||
\(215\) | −1.56145 | − | 7.84994i | −0.106490 | − | 0.535361i | ||||
\(216\) | 1.93305 | + | 2.89302i | 0.131528 | + | 0.196845i | ||||
\(217\) | 7.78991 | + | 7.78991i | 0.528814 | + | 0.528814i | ||||
\(218\) | −1.62170 | + | 1.08359i | −0.109836 | + | 0.0733898i | ||||
\(219\) | −0.790862 | + | 1.90931i | −0.0534415 | + | 0.129019i | ||||
\(220\) | 22.2082 | 1.49728 | ||||||||
\(221\) | 14.8645 | + | 0.213959i | 0.999896 | + | 0.0143924i | ||||
\(222\) | −9.60764 | −0.644823 | ||||||||
\(223\) | 2.39153 | − | 5.77366i | 0.160149 | − | 0.386633i | −0.823354 | − | 0.567529i | \(-0.807900\pi\) |
0.983502 | + | 0.180896i | \(0.0578997\pi\) | |||||||
\(224\) | 29.0457 | − | 19.4077i | 1.94070 | − | 1.29673i | ||||
\(225\) | −7.69926 | − | 7.69926i | −0.513284 | − | 0.513284i | ||||
\(226\) | 12.2730 | + | 18.3679i | 0.816390 | + | 1.22181i | ||||
\(227\) | −1.30073 | − | 6.53919i | −0.0863323 | − | 0.434022i | −0.999642 | − | 0.0267559i | \(-0.991482\pi\) |
0.913310 | − | 0.407266i | \(-0.133518\pi\) | |||||||
\(228\) | −2.06257 | + | 3.08685i | −0.136597 | + | 0.204432i | ||||
\(229\) | −2.66477 | + | 1.10379i | −0.176093 | + | 0.0729402i | −0.468988 | − | 0.883204i | \(-0.655381\pi\) |
0.292895 | + | 0.956145i | \(0.405381\pi\) | |||||||
\(230\) | −1.71667 | + | 4.14441i | −0.113194 | + | 0.273274i | ||||
\(231\) | 18.8763 | − | 3.75473i | 1.24197 | − | 0.247043i | ||||
\(232\) | 0.918652 | + | 4.61838i | 0.0603125 | + | 0.303211i | ||||
\(233\) | 14.1582 | + | 2.81624i | 0.927535 | + | 0.184498i | 0.635669 | − | 0.771961i | \(-0.280724\pi\) |
0.291865 | + | 0.956459i | \(0.405724\pi\) | |||||||
\(234\) | −9.70946 | + | 10.8306i | −0.634727 | + | 0.708021i | ||||
\(235\) | −14.6620 | − | 21.9433i | −0.956446 | − | 1.43142i | ||||
\(236\) | 17.9910 | + | 7.45211i | 1.17111 | + | 0.485091i | ||||
\(237\) | − | 7.20829i | − | 0.468229i | ||||||
\(238\) | −32.4222 | + | 18.5691i | −2.10162 | + | 1.20366i | ||||
\(239\) | 13.5689 | + | 13.5689i | 0.877702 | + | 0.877702i | 0.993296 | − | 0.115594i | \(-0.0368773\pi\) |
−0.115594 | + | 0.993296i | \(0.536877\pi\) | |||||||
\(240\) | 5.27430 | − | 12.7333i | 0.340454 | − | 0.821929i | ||||
\(241\) | −1.02491 | + | 5.15258i | −0.0660204 | + | 0.331907i | −0.999653 | − | 0.0263238i | \(-0.991620\pi\) |
0.933633 | + | 0.358231i | \(0.116620\pi\) | |||||||
\(242\) | − | 14.3893i | − | 0.924981i | ||||||
\(243\) | 15.8385 | + | 3.15047i | 1.01604 | + | 0.202103i | ||||
\(244\) | 6.15223 | − | 9.20746i | 0.393856 | − | 0.589447i | ||||
\(245\) | −27.7503 | + | 41.5313i | −1.77290 | + | 2.65334i | ||||
\(246\) | −4.24073 | + | 10.2380i | −0.270379 | + | 0.652753i | ||||
\(247\) | 8.31669 | + | 2.92480i | 0.529179 | + | 0.186100i | ||||
\(248\) | −0.326932 | − | 1.64360i | −0.0207602 | − | 0.104368i | ||||
\(249\) | −16.2682 | + | 3.23595i | −1.03096 | + | 0.205070i | ||||
\(250\) | −0.158990 | + | 0.799294i | −0.0100554 | + | 0.0505518i | ||||
\(251\) | 3.67811 | − | 3.67811i | 0.232160 | − | 0.232160i | −0.581434 | − | 0.813594i | \(-0.697508\pi\) |
0.813594 | + | 0.581434i | \(0.197508\pi\) | |||||||
\(252\) | 3.19075 | − | 16.0410i | 0.200998 | − | 1.01049i | ||||
\(253\) | 2.94844 | + | 1.22128i | 0.185367 | + | 0.0767814i | ||||
\(254\) | 17.0997 | + | 17.0997i | 1.07293 | + | 1.07293i | ||||
\(255\) | −5.48239 | + | 11.0205i | −0.343320 | + | 0.690131i | ||||
\(256\) | −20.2638 | −1.26649 | ||||||||
\(257\) | 12.2024 | − | 5.05439i | 0.761164 | − | 0.315284i | 0.0318762 | − | 0.999492i | \(-0.489852\pi\) |
0.729287 | + | 0.684208i | \(0.239852\pi\) | |||||||
\(258\) | 0.875020 | − | 4.39902i | 0.0544764 | − | 0.273871i | ||||
\(259\) | −18.1396 | − | 18.1396i | −1.12714 | − | 1.12714i | ||||
\(260\) | 18.3980 | + | 2.62682i | 1.14100 | + | 0.162909i | ||||
\(261\) | 11.4586 | + | 7.65637i | 0.709267 | + | 0.473917i | ||||
\(262\) | −16.0475 | − | 10.7226i | −0.991416 | − | 0.662443i | ||||
\(263\) | 12.9693 | + | 5.37205i | 0.799720 | + | 0.331255i | 0.744844 | − | 0.667239i | \(-0.232524\pi\) |
0.0548755 | + | 0.998493i | \(0.482524\pi\) | |||||||
\(264\) | −2.70478 | − | 1.12036i | −0.166468 | − | 0.0689532i | ||||
\(265\) | −4.53920 | + | 6.79339i | −0.278841 | + | 0.417314i | ||||
\(266\) | −21.7317 | + | 4.32270i | −1.33246 | + | 0.265042i | ||||
\(267\) | −1.96242 | − | 2.93696i | −0.120098 | − | 0.179739i | ||||
\(268\) | −8.17510 | −0.499374 | ||||||||
\(269\) | 8.33289 | + | 12.4711i | 0.508065 | + | 0.760374i | 0.993492 | − | 0.113904i | \(-0.0363356\pi\) |
−0.485426 | + | 0.874278i | \(0.661336\pi\) | |||||||
\(270\) | −11.1290 | − | 26.8678i | −0.677290 | − | 1.63512i | ||||
\(271\) | 5.35411 | + | 5.35411i | 0.325239 | + | 0.325239i | 0.850773 | − | 0.525534i | \(-0.176134\pi\) |
−0.525534 | + | 0.850773i | \(0.676134\pi\) | |||||||
\(272\) | 18.9899 | + | 1.31093i | 1.15143 | + | 0.0794866i | ||||
\(273\) | 16.0818 | − | 0.877820i | 0.973316 | − | 0.0531281i | ||||
\(274\) | 2.17063 | + | 5.24036i | 0.131132 | + | 0.316582i | ||||
\(275\) | 21.6976 | + | 4.31591i | 1.30841 | + | 0.260259i | ||||
\(276\) | −0.795239 | + | 0.795239i | −0.0478678 | + | 0.0478678i | ||||
\(277\) | 0.360451 | − | 1.81211i | 0.0216574 | − | 0.108879i | −0.968445 | − | 0.249229i | \(-0.919823\pi\) |
0.990102 | + | 0.140350i | \(0.0448228\pi\) | |||||||
\(278\) | −3.41736 | − | 17.1802i | −0.204960 | − | 1.03040i | ||||
\(279\) | −4.07789 | − | 2.72476i | −0.244137 | − | 0.163127i | ||||
\(280\) | 10.1515 | − | 4.20487i | 0.606665 | − | 0.251289i | ||||
\(281\) | −7.20044 | − | 17.3834i | −0.429542 | − | 1.03701i | −0.979433 | − | 0.201770i | \(-0.935331\pi\) |
0.549891 | − | 0.835237i | \(-0.314669\pi\) | |||||||
\(282\) | −2.88523 | − | 14.5051i | −0.171813 | − | 0.863763i | ||||
\(283\) | 2.87708 | + | 1.92240i | 0.171024 | + | 0.114275i | 0.638136 | − | 0.769923i | \(-0.279706\pi\) |
−0.467112 | + | 0.884198i | \(0.654706\pi\) | |||||||
\(284\) | 3.17532 | + | 4.75220i | 0.188420 | + | 0.281991i | ||||
\(285\) | −5.16153 | + | 5.16153i | −0.305743 | + | 0.305743i | ||||
\(286\) | 4.17719 | − | 29.2566i | 0.247002 | − | 1.72998i | ||||
\(287\) | −27.3365 | + | 11.3231i | −1.61362 | + | 0.668384i | ||||
\(288\) | −10.9967 | + | 10.9967i | −0.647988 | + | 0.647988i | ||||
\(289\) | −16.8387 | − | 2.33598i | −0.990514 | − | 0.137411i | ||||
\(290\) | − | 39.3575i | − | 2.31115i | ||||||
\(291\) | −0.461036 | + | 1.11304i | −0.0270264 | + | 0.0652476i | ||||
\(292\) | −3.49963 | − | 0.696120i | −0.204800 | − | 0.0407373i | ||||
\(293\) | − | 15.9883i | − | 0.934048i | −0.884245 | − | 0.467024i | \(-0.845326\pi\) | ||
0.884245 | − | 0.467024i | \(-0.154674\pi\) | |||||||
\(294\) | −23.2737 | + | 15.5510i | −1.35735 | + | 0.906952i | ||||
\(295\) | 31.8354 | + | 21.2717i | 1.85353 | + | 1.23849i | ||||
\(296\) | 0.761293 | + | 3.82728i | 0.0442493 | + | 0.222456i | ||||
\(297\) | −19.1144 | + | 7.91746i | −1.10913 | + | 0.459417i | ||||
\(298\) | 18.2937 | + | 7.57750i | 1.05973 | + | 0.438953i | ||||
\(299\) | 2.29812 | + | 1.36049i | 0.132904 | + | 0.0786793i | ||||
\(300\) | −4.33124 | + | 6.48216i | −0.250064 | + | 0.374248i | ||||
\(301\) | 9.95760 | − | 6.65345i | 0.573946 | − | 0.383499i | ||||
\(302\) | 17.3720 | + | 17.3720i | 0.999648 | + | 0.999648i | ||||
\(303\) | −12.1214 | + | 8.09925i | −0.696356 | + | 0.465290i | ||||
\(304\) | 10.4291 | + | 4.31987i | 0.598149 | + | 0.247761i | ||||
\(305\) | 15.3958 | − | 15.3958i | 0.881562 | − | 0.881562i | ||||
\(306\) | 12.5438 | − | 10.9238i | 0.717083 | − | 0.624471i | ||||
\(307\) | −4.50930 | + | 4.50930i | −0.257360 | + | 0.257360i | −0.823979 | − | 0.566620i | \(-0.808251\pi\) |
0.566620 | + | 0.823979i | \(0.308251\pi\) | |||||||
\(308\) | 12.7166 | + | 30.7005i | 0.724594 | + | 1.74932i | ||||
\(309\) | −7.31190 | − | 10.9430i | −0.415959 | − | 0.622527i | ||||
\(310\) | 14.0066i | 0.795522i | ||||||||
\(311\) | 6.17485 | − | 31.0431i | 0.350144 | − | 1.76029i | −0.257690 | − | 0.966228i | \(-0.582961\pi\) |
0.607834 | − | 0.794064i | \(-0.292039\pi\) | |||||||
\(312\) | −2.10821 | − | 1.24806i | −0.119354 | − | 0.0706576i | ||||
\(313\) | 28.6342 | − | 5.69569i | 1.61850 | − | 0.321940i | 0.699028 | − | 0.715095i | \(-0.253616\pi\) |
0.919472 | + | 0.393155i | \(0.128616\pi\) | |||||||
\(314\) | 4.24500 | + | 10.2483i | 0.239559 | + | 0.578347i | ||||
\(315\) | 12.3061 | − | 29.7096i | 0.693371 | − | 1.67395i | ||||
\(316\) | 12.2066 | − | 2.42804i | 0.686673 | − | 0.136588i | ||||
\(317\) | −6.04977 | + | 1.20337i | −0.339789 | + | 0.0675882i | −0.362035 | − | 0.932164i | \(-0.617918\pi\) |
0.0222467 | + | 0.999753i | \(0.492918\pi\) | |||||||
\(318\) | −3.80694 | + | 2.54372i | −0.213483 | + | 0.142645i | ||||
\(319\) | −27.9999 | −1.56769 | ||||||||
\(320\) | 14.7312 | + | 2.93023i | 0.823502 | + | 0.163805i | ||||
\(321\) | 0.470561 | − | 0.194913i | 0.0262641 | − | 0.0108790i | ||||
\(322\) | −6.71217 | −0.374055 | ||||||||
\(323\) | −9.02626 | − | 4.49030i | −0.502235 | − | 0.249847i | ||||
\(324\) | 3.00962i | 0.167201i | ||||||||
\(325\) | 17.4644 | + | 6.14185i | 0.968752 | + | 0.340689i | ||||
\(326\) | −29.2510 | + | 19.5449i | −1.62007 | + | 1.08249i | ||||
\(327\) | −0.961424 | −0.0531669 | ||||||||
\(328\) | 4.41443 | + | 0.878085i | 0.243746 | + | 0.0484841i | ||||
\(329\) | 21.9387 | − | 32.8335i | 1.20952 | − | 1.81017i | ||||
\(330\) | 20.3458 | + | 13.5946i | 1.12000 | + | 0.748360i | ||||
\(331\) | −2.03155 | − | 4.90459i | −0.111664 | − | 0.269581i | 0.858162 | − | 0.513379i | \(-0.171607\pi\) |
−0.969826 | + | 0.243798i | \(0.921607\pi\) | |||||||
\(332\) | −10.9596 | − | 26.4587i | −0.601484 | − | 1.45211i | ||||
\(333\) | 9.49579 | + | 6.34488i | 0.520366 | + | 0.347697i | ||||
\(334\) | 7.78459 | − | 11.6505i | 0.425954 | − | 0.637485i | ||||
\(335\) | −15.7649 | − | 3.13583i | −0.861328 | − | 0.171329i | ||||
\(336\) | 20.6225 | 1.12505 | ||||||||
\(337\) | −10.2292 | + | 6.83493i | −0.557220 | + | 0.372322i | −0.802062 | − | 0.597241i | \(-0.796264\pi\) |
0.244842 | + | 0.969563i | \(0.421264\pi\) | |||||||
\(338\) | 6.92103 | − | 23.7430i | 0.376454 | − | 1.29145i | ||||
\(339\) | 10.8894i | 0.591430i | ||||||||
\(340\) | −20.5089 | − | 5.57177i | −1.11225 | − | 0.302171i | ||||
\(341\) | 9.96466 | 0.539617 | ||||||||
\(342\) | 9.11333 | − | 3.77486i | 0.492792 | − | 0.204121i | ||||
\(343\) | −40.5993 | − | 8.07570i | −2.19215 | − | 0.436047i | ||||
\(344\) | −1.82172 | −0.0982206 | ||||||||
\(345\) | −1.83858 | + | 1.22850i | −0.0989860 | + | 0.0661403i | ||||
\(346\) | 16.2662 | − | 3.23556i | 0.874479 | − | 0.173945i | ||||
\(347\) | −15.0732 | + | 2.99824i | −0.809169 | + | 0.160954i | −0.582303 | − | 0.812972i | \(-0.697848\pi\) |
−0.226867 | + | 0.973926i | \(0.572848\pi\) | |||||||
\(348\) | 3.77601 | − | 9.11609i | 0.202415 | − | 0.488674i | ||||
\(349\) | −9.11755 | − | 22.0117i | −0.488051 | − | 1.17826i | −0.955699 | − | 0.294345i | \(-0.904899\pi\) |
0.467648 | − | 0.883915i | \(-0.345101\pi\) | |||||||
\(350\) | −45.6349 | + | 9.07735i | −2.43929 | + | 0.485205i | ||||
\(351\) | −16.7715 | + | 4.29818i | −0.895195 | + | 0.229420i | ||||
\(352\) | 6.16434 | − | 30.9902i | 0.328561 | − | 1.65179i | ||||
\(353\) | − | 19.6462i | − | 1.04566i | −0.852437 | − | 0.522830i | \(-0.824876\pi\) | ||
0.852437 | − | 0.522830i | \(-0.175124\pi\) | |||||||
\(354\) | 11.9205 | + | 17.8402i | 0.633565 | + | 0.948197i | ||||
\(355\) | 4.30043 | + | 10.3822i | 0.228243 | + | 0.551028i | ||||
\(356\) | 4.31245 | − | 4.31245i | 0.228559 | − | 0.228559i | ||||
\(357\) | −18.3739 | − | 1.26840i | −0.972451 | − | 0.0671309i | ||||
\(358\) | −3.64566 | + | 3.64566i | −0.192679 | + | 0.192679i | ||||
\(359\) | 4.70621 | + | 1.94938i | 0.248384 | + | 0.102884i | 0.503402 | − | 0.864052i | \(-0.332081\pi\) |
−0.255018 | + | 0.966936i | \(0.582081\pi\) | |||||||
\(360\) | −4.06725 | + | 2.71765i | −0.214363 | + | 0.143233i | ||||
\(361\) | 9.20752 | + | 9.20752i | 0.484606 | + | 0.484606i | ||||
\(362\) | 10.5395 | − | 7.04227i | 0.553944 | − | 0.370134i | ||||
\(363\) | 3.94066 | − | 5.89762i | 0.206831 | − | 0.309545i | ||||
\(364\) | 6.90350 | + | 26.9374i | 0.361842 | + | 1.41190i | ||||
\(365\) | −6.48168 | − | 2.68480i | −0.339267 | − | 0.140529i | ||||
\(366\) | 11.2726 | − | 4.66925i | 0.589227 | − | 0.244066i | ||||
\(367\) | 1.56005 | + | 7.84291i | 0.0814340 | + | 0.409396i | 0.999903 | + | 0.0139042i | \(0.00442598\pi\) |
−0.918469 | + | 0.395492i | \(0.870574\pi\) | |||||||
\(368\) | 2.84329 | + | 1.89982i | 0.148217 | + | 0.0990351i | ||||
\(369\) | 10.9526 | − | 7.31827i | 0.570167 | − | 0.380974i | ||||
\(370\) | − | 32.6158i | − | 1.69561i | ||||||
\(371\) | −11.9903 | − | 2.38502i | −0.622505 | − | 0.123824i | ||||
\(372\) | −1.34381 | + | 3.24425i | −0.0696734 | + | 0.168207i | ||||
\(373\) | 32.0364i | 1.65878i | 0.558669 | + | 0.829391i | \(0.311312\pi\) | ||||
−0.558669 | + | 0.829391i | \(0.688688\pi\) | |||||||
\(374\) | −8.86026 | + | 32.6134i | −0.458153 | + | 1.68640i | ||||
\(375\) | −0.284058 | + | 0.284058i | −0.0146687 | + | 0.0146687i | ||||
\(376\) | −5.54958 | + | 2.29871i | −0.286198 | + | 0.118547i | ||||
\(377\) | −23.1960 | − | 3.31187i | −1.19465 | − | 0.170570i | ||||
\(378\) | 30.7693 | − | 30.7693i | 1.58260 | − | 1.58260i | ||||
\(379\) | −5.38663 | − | 8.06166i | −0.276693 | − | 0.414100i | 0.666931 | − | 0.745119i | \(-0.267607\pi\) |
−0.943624 | + | 0.331019i | \(0.892607\pi\) | |||||||
\(380\) | −10.4792 | − | 7.00196i | −0.537570 | − | 0.359193i | ||||
\(381\) | 2.32557 | + | 11.6914i | 0.119142 | + | 0.598969i | ||||
\(382\) | 2.30451 | + | 5.56357i | 0.117909 | + | 0.284657i | ||||
\(383\) | −14.4767 | + | 5.99645i | −0.739726 | + | 0.306404i | −0.720542 | − | 0.693412i | \(-0.756107\pi\) |
−0.0191840 | + | 0.999816i | \(0.506107\pi\) | |||||||
\(384\) | −4.43784 | − | 2.96527i | −0.226468 | − | 0.151321i | ||||
\(385\) | 12.7465 | + | 64.0808i | 0.649620 | + | 3.26586i | ||||
\(386\) | 6.94281 | − | 34.9038i | 0.353380 | − | 1.77656i | ||||
\(387\) | −3.76995 | + | 3.76995i | −0.191637 | + | 0.191637i | ||||
\(388\) | −2.04012 | − | 0.405806i | −0.103572 | − | 0.0206017i | ||||
\(389\) | −10.6546 | − | 25.7225i | −0.540210 | − | 1.30418i | −0.924575 | − | 0.381000i | \(-0.875580\pi\) |
0.384365 | − | 0.923181i | \(-0.374420\pi\) | |||||||
\(390\) | 15.2471 | + | 13.6687i | 0.772067 | + | 0.692144i | ||||
\(391\) | −2.41642 | − | 1.86756i | −0.122204 | − | 0.0944464i | ||||
\(392\) | 8.03902 | + | 8.03902i | 0.406032 | + | 0.406032i | ||||
\(393\) | −3.64074 | − | 8.78953i | −0.183651 | − | 0.443373i | ||||
\(394\) | 21.3952 | + | 32.0202i | 1.07788 | + | 1.61316i | ||||
\(395\) | 24.4705 | 1.23125 | ||||||||
\(396\) | −8.21885 | − | 12.3004i | −0.413013 | − | 0.618117i | ||||
\(397\) | 9.37602 | − | 1.86501i | 0.470569 | − | 0.0936020i | 0.0458909 | − | 0.998946i | \(-0.485387\pi\) |
0.424678 | + | 0.905344i | \(0.360387\pi\) | |||||||
\(398\) | 1.31134 | − | 1.96255i | 0.0657313 | − | 0.0983738i | ||||
\(399\) | −10.0908 | − | 4.17974i | −0.505171 | − | 0.209249i | ||||
\(400\) | 21.9003 | + | 9.07140i | 1.09501 | + | 0.453570i | ||||
\(401\) | 27.7949 | + | 18.5719i | 1.38801 | + | 0.927439i | 0.999983 | + | 0.00579037i | \(0.00184314\pi\) |
0.388027 | + | 0.921648i | \(0.373157\pi\) | |||||||
\(402\) | −7.48951 | − | 5.00433i | −0.373543 | − | 0.249593i | ||||
\(403\) | 8.25503 | + | 1.17863i | 0.411212 | + | 0.0587119i | ||||
\(404\) | −17.7983 | − | 17.7983i | −0.885498 | − | 0.885498i | ||||
\(405\) | −1.15444 | + | 5.80376i | −0.0573646 | + | 0.288391i | ||||
\(406\) | 54.4075 | − | 22.5363i | 2.70020 | − | 1.11846i | ||||
\(407\) | −23.2037 | −1.15017 | ||||||||
\(408\) | 2.21673 | + | 1.71322i | 0.109744 | + | 0.0848171i | ||||
\(409\) | 9.60994 | + | 9.60994i | 0.475181 | + | 0.475181i | 0.903587 | − | 0.428406i | \(-0.140925\pi\) |
−0.428406 | + | 0.903587i | \(0.640925\pi\) | |||||||
\(410\) | −34.7559 | − | 14.3963i | −1.71647 | − | 0.710985i | ||||
\(411\) | −0.545471 | + | 2.74227i | −0.0269061 | + | 0.135266i | ||||
\(412\) | 16.0681 | − | 16.0681i | 0.791616 | − | 0.791616i | ||||
\(413\) | −11.1767 | + | 56.1893i | −0.549972 | + | 2.76489i | ||||
\(414\) | 2.93075 | − | 0.582963i | 0.144039 | − | 0.0286510i | ||||
\(415\) | −10.9853 | − | 55.2270i | −0.539249 | − | 2.71099i | ||||
\(416\) | 8.77230 | − | 24.9441i | 0.430097 | − | 1.22299i | ||||
\(417\) | 3.30434 | − | 7.97738i | 0.161814 | − | 0.390654i | ||||
\(418\) | −11.1346 | + | 16.6641i | −0.544610 | + | 0.815066i | ||||
\(419\) | −18.7160 | + | 28.0105i | −0.914337 | + | 1.36840i | 0.0152832 | + | 0.999883i | \(0.495135\pi\) |
−0.929620 | + | 0.368519i | \(0.879865\pi\) | |||||||
\(420\) | −22.5821 | − | 4.49186i | −1.10189 | − | 0.219180i | ||||
\(421\) | − | 20.0084i | − | 0.975149i | −0.873082 | − | 0.487574i | \(-0.837882\pi\) | ||
0.873082 | − | 0.487574i | \(-0.162118\pi\) | |||||||
\(422\) | −6.05048 | + | 30.4178i | −0.294533 | + | 1.48072i | ||||
\(423\) | −6.72749 | + | 16.2416i | −0.327102 | + | 0.789693i | ||||
\(424\) | 1.31497 | + | 1.31497i | 0.0638604 | + | 0.0638604i | ||||
\(425\) | −18.9545 | − | 9.42930i | −0.919427 | − | 0.457388i | ||||
\(426\) | 6.29741i | 0.305111i | ||||||||
\(427\) | 30.0988 | + | 12.4673i | 1.45658 | + | 0.603336i | ||||
\(428\) | 0.488570 | + | 0.731196i | 0.0236159 | + | 0.0353437i | ||||
\(429\) | 9.72429 | − | 10.8472i | 0.469493 | − | 0.523706i | ||||
\(430\) | 14.9337 | + | 2.97050i | 0.720167 | + | 0.143250i | ||||
\(431\) | 0.830901 | + | 4.17722i | 0.0400231 | + | 0.201210i | 0.995623 | − | 0.0934564i | \(-0.0297916\pi\) |
−0.955600 | + | 0.294666i | \(0.904792\pi\) | |||||||
\(432\) | −21.7429 | + | 4.32493i | −1.04611 | + | 0.208083i | ||||
\(433\) | −7.74839 | + | 18.7063i | −0.372364 | + | 0.898966i | 0.620985 | + | 0.783823i | \(0.286733\pi\) |
−0.993349 | + | 0.115144i | \(0.963267\pi\) | |||||||
\(434\) | −19.3626 | + | 8.02026i | −0.929436 | + | 0.384985i | ||||
\(435\) | 10.7784 | − | 16.1311i | 0.516787 | − | 0.773426i | ||||
\(436\) | −0.323845 | − | 1.62808i | −0.0155094 | − | 0.0779709i | ||||
\(437\) | −1.00619 | − | 1.50588i | −0.0481328 | − | 0.0720358i | ||||
\(438\) | −2.78002 | − | 2.78002i | −0.132834 | − | 0.132834i | ||||
\(439\) | −7.65902 | + | 5.11760i | −0.365545 | + | 0.244250i | −0.724754 | − | 0.689008i | \(-0.758047\pi\) |
0.359209 | + | 0.933257i | \(0.383047\pi\) | |||||||
\(440\) | 3.80336 | − | 9.18212i | 0.181318 | − | 0.437741i | ||||
\(441\) | 33.2726 | 1.58441 | ||||||||
\(442\) | −11.1977 | + | 25.9699i | −0.532619 | + | 1.23526i | ||||
\(443\) | −6.95536 | −0.330459 | −0.165230 | − | 0.986255i | \(-0.552837\pi\) | ||||
−0.165230 | + | 0.986255i | \(0.552837\pi\) | |||||||
\(444\) | 3.12920 | − | 7.55456i | 0.148505 | − | 0.358524i | ||||
\(445\) | 9.97033 | − | 6.66196i | 0.472639 | − | 0.315807i | ||||
\(446\) | 8.40663 | + | 8.40663i | 0.398066 | + | 0.398066i | ||||
\(447\) | 5.42269 | + | 8.11564i | 0.256485 | + | 0.383856i | ||||
\(448\) | 4.38447 | + | 22.0422i | 0.207147 | + | 1.04140i | ||||
\(449\) | 19.0301 | − | 28.4806i | 0.898087 | − | 1.34408i | −0.0405513 | − | 0.999177i | \(-0.512911\pi\) |
0.938638 | − | 0.344904i | \(-0.112089\pi\) | |||||||
\(450\) | 19.1373 | − | 7.92693i | 0.902141 | − | 0.373679i | ||||
\(451\) | −10.2419 | + | 24.7262i | −0.482274 | + | 1.16431i | ||||
\(452\) | −18.4401 | + | 3.66797i | −0.867351 | + | 0.172527i | ||||
\(453\) | 2.36261 | + | 11.8776i | 0.111005 | + | 0.558059i | ||||
\(454\) | 12.4401 | + | 2.47450i | 0.583845 | + | 0.116134i | ||||
\(455\) | 2.98000 | + | 54.5942i | 0.139705 | + | 2.55942i | ||||
\(456\) | 0.923043 | + | 1.38143i | 0.0432255 | + | 0.0646915i | ||||
\(457\) | −1.82070 | − | 0.754159i | −0.0851688 | − | 0.0352781i | 0.339692 | − | 0.940537i | \(-0.389677\pi\) |
−0.424861 | + | 0.905259i | \(0.639677\pi\) | |||||||
\(458\) | − | 5.48714i | − | 0.256397i | ||||||
\(459\) | 19.6382 | − | 2.51605i | 0.916633 | − | 0.117439i | ||||
\(460\) | −2.69966 | − | 2.69966i | −0.125872 | − | 0.125872i | ||||
\(461\) | −5.94063 | + | 14.3420i | −0.276683 | + | 0.667972i | −0.999740 | − | 0.0228170i | \(-0.992736\pi\) |
0.723057 | + | 0.690789i | \(0.242736\pi\) | |||||||
\(462\) | −7.14299 | + | 35.9102i | −0.332322 | + | 1.67070i | ||||
\(463\) | 23.9995i | 1.11535i | 0.830059 | + | 0.557676i | \(0.188307\pi\) | ||||
−0.830059 | + | 0.557676i | \(0.811693\pi\) | |||||||
\(464\) | −29.4258 | − | 5.85316i | −1.36606 | − | 0.271726i | ||||
\(465\) | −3.83585 | + | 5.74076i | −0.177883 | + | 0.266221i | ||||
\(466\) | −15.2572 | + | 22.8340i | −0.706776 | + | 1.05776i | ||||
\(467\) | −13.0801 | + | 31.5781i | −0.605274 | + | 1.46126i | 0.262812 | + | 0.964847i | \(0.415350\pi\) |
−0.868086 | + | 0.496414i | \(0.834650\pi\) | |||||||
\(468\) | −5.35384 | − | 11.1622i | −0.247482 | − | 0.515971i | ||||
\(469\) | −4.69211 | − | 23.5889i | −0.216662 | − | 1.08923i | ||||
\(470\) | 49.2414 | − | 9.79473i | 2.27134 | − | 0.451797i | ||||
\(471\) | −1.06675 | + | 5.36293i | −0.0491534 | + | 0.247111i | ||||
\(472\) | 6.16223 | − | 6.16223i | 0.283640 | − | 0.283640i | ||||
\(473\) | 2.11329 | − | 10.6242i | 0.0971691 | − | 0.488502i | ||||
\(474\) | 12.6692 | + | 5.24775i | 0.581915 | + | 0.241037i | ||||
\(475\) | −8.87745 | − | 8.87745i | −0.407325 | − | 0.407325i | ||||
\(476\) | −4.04114 | − | 31.5418i | −0.185225 | − | 1.44571i | ||||
\(477\) | 5.44249 | 0.249195 | ||||||||
\(478\) | −33.7270 | + | 13.9702i | −1.54264 | + | 0.638981i | ||||
\(479\) | −0.719184 | + | 3.61558i | −0.0328604 | + | 0.165200i | −0.993731 | − | 0.111797i | \(-0.964339\pi\) |
0.960871 | + | 0.276997i | \(0.0893393\pi\) | |||||||
\(480\) | 15.4809 | + | 15.4809i | 0.706604 | + | 0.706604i | ||||
\(481\) | −19.2227 | − | 2.74457i | −0.876478 | − | 0.125141i | ||||
\(482\) | −8.30996 | − | 5.55254i | −0.378508 | − | 0.252911i | ||||
\(483\) | −2.75105 | − | 1.83820i | −0.125177 | − | 0.0836408i | ||||
\(484\) | 11.3144 | + | 4.68659i | 0.514293 | + | 0.213027i | ||||
\(485\) | −3.77852 | − | 1.56512i | −0.171574 | − | 0.0710682i | ||||
\(486\) | −17.0679 | + | 25.5439i | −0.774216 | + | 1.15870i | ||||
\(487\) | 22.3314 | − | 4.44199i | 1.01193 | − | 0.201286i | 0.338840 | − | 0.940844i | \(-0.389966\pi\) |
0.673092 | + | 0.739558i | \(0.264966\pi\) | |||||||
\(488\) | −2.75325 | − | 4.12053i | −0.124634 | − | 0.186528i | ||||
\(489\) | −17.3414 | −0.784206 | ||||||||
\(490\) | −52.7921 | − | 79.0090i | −2.38491 | − | 3.56926i | ||||
\(491\) | 1.32517 | + | 3.19925i | 0.0598043 | + | 0.144380i | 0.950957 | − | 0.309323i | \(-0.100103\pi\) |
−0.891153 | + | 0.453704i | \(0.850103\pi\) | |||||||
\(492\) | −6.66904 | − | 6.66904i | −0.300664 | − | 0.300664i | ||||
\(493\) | 25.8574 | + | 7.02482i | 1.16456 | + | 0.316382i | ||||
\(494\) | −11.1953 | + | 12.4880i | −0.503699 | + | 0.561862i | ||||
\(495\) | −11.1310 | − | 26.8727i | −0.500303 | − | 1.20784i | ||||
\(496\) | 10.4721 | + | 2.08303i | 0.470212 | + | 0.0935309i | ||||
\(497\) | −11.8898 | + | 11.8898i | −0.533329 | + | 0.533329i | ||||
\(498\) | 6.15607 | − | 30.9486i | 0.275860 | − | 1.38684i | ||||
\(499\) | 4.21011 | + | 21.1657i | 0.188470 | + | 0.947505i | 0.953012 | + | 0.302931i | \(0.0979652\pi\) |
−0.764542 | + | 0.644574i | \(0.777035\pi\) | |||||||
\(500\) | −0.576708 | − | 0.385344i | −0.0257912 | − | 0.0172331i | ||||
\(501\) | 6.38119 | − | 2.64318i | 0.285091 | − | 0.118088i | ||||
\(502\) | 3.78687 | + | 9.14231i | 0.169016 | + | 0.408041i | ||||
\(503\) | −1.14309 | − | 5.74673i | −0.0509681 | − | 0.256234i | 0.946897 | − | 0.321536i | \(-0.104199\pi\) |
−0.997866 | + | 0.0653018i | \(0.979199\pi\) | |||||||
\(504\) | −6.08579 | − | 4.06640i | −0.271083 | − | 0.181132i | ||||
\(505\) | −27.4952 | − | 41.1494i | −1.22352 | − | 1.83113i | ||||
\(506\) | −4.29302 | + | 4.29302i | −0.190848 | + | 0.190848i | ||||
\(507\) | 9.33892 | − | 7.83593i | 0.414756 | − | 0.348006i | ||||
\(508\) | −19.0150 | + | 7.87626i | −0.843653 | + | 0.349452i | ||||
\(509\) | −18.2455 | + | 18.2455i | −0.808717 | + | 0.808717i | −0.984440 | − | 0.175723i | \(-0.943774\pi\) |
0.175723 | + | 0.984440i | \(0.443774\pi\) | |||||||
\(510\) | −15.3782 | − | 17.6589i | −0.680960 | − | 0.781949i | ||||
\(511\) | − | 10.4976i | − | 0.464385i | ||||||
\(512\) | 10.3962 | − | 25.0987i | 0.459452 | − | 1.10922i | ||||
\(513\) | 11.5156 | + | 2.29060i | 0.508426 | + | 0.101132i | ||||
\(514\) | 25.1264i | 1.10828i | ||||||||
\(515\) | 37.1491 | − | 24.8223i | 1.63699 | − | 1.09380i | ||||
\(516\) | 3.17399 | + | 2.12079i | 0.139727 | + | 0.0933627i | ||||
\(517\) | −6.96822 | − | 35.0316i | −0.306462 | − | 1.54069i | ||||
\(518\) | 45.0878 | − | 18.6760i | 1.98105 | − | 0.820576i | ||||
\(519\) | 7.55299 | + | 3.12855i | 0.331539 | + | 0.137328i | ||||
\(520\) | 4.23690 | − | 7.15689i | 0.185800 | − | 0.313850i | ||||
\(521\) | 13.1586 | − | 19.6933i | 0.576489 | − | 0.862777i | −0.422562 | − | 0.906334i | \(-0.638869\pi\) |
0.999051 | + | 0.0435571i | \(0.0138690\pi\) | |||||||
\(522\) | −21.7987 | + | 14.5655i | −0.954105 | + | 0.637513i | ||||
\(523\) | −29.8578 | − | 29.8578i | −1.30559 | − | 1.30559i | −0.924566 | − | 0.381023i | \(-0.875572\pi\) |
−0.381023 | − | 0.924566i | \(-0.624428\pi\) | |||||||
\(524\) | 13.6579 | − | 9.12592i | 0.596648 | − | 0.398667i | ||||
\(525\) | −21.1899 | − | 8.77714i | −0.924802 | − | 0.383066i | ||||
\(526\) | −18.8837 | + | 18.8837i | −0.823368 | + | 0.823368i | ||||
\(527\) | −9.20217 | − | 2.50001i | −0.400853 | − | 0.108902i | ||||
\(528\) | 13.1899 | − | 13.1899i | 0.574015 | − | 0.574015i | ||||
\(529\) | 8.59176 | + | 20.7424i | 0.373555 | + | 0.901841i | ||||
\(530\) | −8.63536 | − | 12.9237i | −0.375096 | − | 0.561371i | ||||
\(531\) | − | 25.5048i | − | 1.10681i | ||||||
\(532\) | 3.67902 | − | 18.4957i | 0.159506 | − | 0.801890i | ||||
\(533\) | −11.4094 | + | 19.2725i | −0.494195 | + | 0.834785i | ||||
\(534\) | 6.59064 | − | 1.31096i | 0.285205 | − | 0.0567307i | ||||
\(535\) | 0.661685 | + | 1.59745i | 0.0286071 | + | 0.0690637i | ||||
\(536\) | −1.40006 | + | 3.38004i | −0.0604733 | + | 0.145995i | ||||
\(537\) | −2.49261 | + | 0.495812i | −0.107564 | + | 0.0213958i | ||||
\(538\) | −27.9854 | + | 5.56665i | −1.20654 | + | 0.239995i | ||||
\(539\) | −56.2090 | + | 37.5577i | −2.42109 | + | 1.61772i | ||||
\(540\) | 24.7511 | 1.06512 | ||||||||
\(541\) | −29.6937 | − | 5.90645i | −1.27663 | − | 0.253938i | −0.490198 | − | 0.871611i | \(-0.663076\pi\) |
−0.786435 | + | 0.617673i | \(0.788076\pi\) | |||||||
\(542\) | −13.3082 | + | 5.51243i | −0.571636 | + | 0.236779i | ||||
\(543\) | 6.24833 | 0.268141 | ||||||||
\(544\) | −13.4677 | + | 27.0723i | −0.577423 | + | 1.16072i | ||||
\(545\) | − | 3.26382i | − | 0.139807i | ||||||
\(546\) | −10.1650 | + | 28.9043i | −0.435021 | + | 1.23699i | ||||
\(547\) | −8.78373 | + | 5.86910i | −0.375565 | + | 0.250945i | −0.728999 | − | 0.684515i | \(-0.760014\pi\) |
0.353434 | + | 0.935460i | \(0.385014\pi\) | |||||||
\(548\) | −4.82751 | −0.206221 | ||||||||
\(549\) | −14.2249 | − | 2.82951i | −0.607104 | − | 0.120761i | ||||
\(550\) | −23.3818 | + | 34.9933i | −0.997002 | + | 1.49212i | ||||
\(551\) | 13.2120 | + | 8.82800i | 0.562851 | + | 0.376085i | ||||
\(552\) | 0.192604 | + | 0.464988i | 0.00819778 | + | 0.0197912i | ||||
\(553\) | 14.0120 | + | 33.8279i | 0.595850 | + | 1.43851i | ||||
\(554\) | 2.92253 | + | 1.95277i | 0.124166 | + | 0.0829653i | ||||
\(555\) | 8.93217 | − | 13.3679i | 0.379149 | − | 0.567437i | ||||
\(556\) | 14.6220 | + | 2.90849i | 0.620110 | + | 0.123348i | ||||
\(557\) | −14.8604 | −0.629656 | −0.314828 | − | 0.949149i | \(-0.601947\pi\) | ||||
−0.314828 | + | 0.949149i | \(0.601947\pi\) | |||||||
\(558\) | 7.75778 | − | 5.18358i | 0.328413 | − | 0.219439i | ||||
\(559\) | 3.00736 | − | 8.55147i | 0.127198 | − | 0.361689i | ||||
\(560\) | 70.0087i | 2.95841i | ||||||||
\(561\) | −12.5630 | + | 10.9405i | −0.530409 | + | 0.461907i | ||||
\(562\) | 35.7949 | 1.50992 | ||||||||
\(563\) | 11.3291 | − | 4.69266i | 0.477464 | − | 0.197772i | −0.130954 | − | 0.991388i | \(-0.541804\pi\) |
0.608419 | + | 0.793616i | \(0.291804\pi\) | |||||||
\(564\) | 12.3452 | + | 2.45560i | 0.519825 | + | 0.103400i | ||||
\(565\) | −36.9670 | −1.55521 | ||||||||
\(566\) | −5.47334 | + | 3.65717i | −0.230062 | + | 0.153722i | ||||
\(567\) | −8.68412 | + | 1.72738i | −0.364699 | + | 0.0725431i | ||||
\(568\) | 2.50862 | − | 0.498996i | 0.105260 | − | 0.0209374i | ||||
\(569\) | 8.52763 | − | 20.5875i | 0.357497 | − | 0.863074i | −0.638154 | − | 0.769909i | \(-0.720302\pi\) |
0.995651 | − | 0.0931652i | \(-0.0296985\pi\) | |||||||
\(570\) | −5.31416 | − | 12.8295i | −0.222586 | − | 0.537369i | ||||
\(571\) | −7.05045 | + | 1.40242i | −0.295052 | + | 0.0586895i | −0.340397 | − | 0.940282i | \(-0.610561\pi\) |
0.0453448 | + | 0.998971i | \(0.485561\pi\) | |||||||
\(572\) | 21.6442 | + | 12.8134i | 0.904989 | + | 0.535756i | ||||
\(573\) | −0.579114 | + | 2.91140i | −0.0241928 | + | 0.121626i | ||||
\(574\) | − | 56.2896i | − | 2.34948i | ||||||
\(575\) | −2.11293 | − | 3.16223i | −0.0881154 | − | 0.131874i | ||||
\(576\) | −3.82880 | − | 9.24355i | −0.159533 | − | 0.385148i | ||||
\(577\) | −10.1999 | + | 10.1999i | −0.424626 | + | 0.424626i | −0.886793 | − | 0.462167i | \(-0.847072\pi\) |
0.462167 | + | 0.886793i | \(0.347072\pi\) | |||||||
\(578\) | 16.3646 | − | 27.8949i | 0.680676 | − | 1.16028i | ||||
\(579\) | 12.4044 | − | 12.4044i | 0.515507 | − | 0.515507i | ||||
\(580\) | 30.9471 | + | 12.8187i | 1.28501 | + | 0.532268i | ||||
\(581\) | 70.0551 | − | 46.8093i | 2.90638 | − | 1.94198i | ||||
\(582\) | −1.62062 | − | 1.62062i | −0.0671769 | − | 0.0671769i | ||||
\(583\) | −9.19426 | + | 6.14341i | −0.380788 | + | 0.254434i | ||||
\(584\) | −0.887157 | + | 1.32773i | −0.0367108 | + | 0.0549417i | ||||
\(585\) | −6.04276 | − | 23.5788i | −0.249837 | − | 0.974863i | ||||
\(586\) | 28.1009 | + | 11.6398i | 1.16084 | + | 0.480834i | ||||
\(587\) | 40.0075 | − | 16.5717i | 1.65129 | − | 0.683986i | 0.653925 | − | 0.756559i | \(-0.273121\pi\) |
0.997363 | + | 0.0725732i | \(0.0231211\pi\) | |||||||
\(588\) | −4.64763 | − | 23.3652i | −0.191665 | − | 0.963566i | ||||
\(589\) | −4.70192 | − | 3.14172i | −0.193739 | − | 0.129452i | ||||
\(590\) | −60.5636 | + | 40.4673i | −2.49336 | + | 1.66601i | ||||
\(591\) | 18.9831i | 0.780862i | ||||||||
\(592\) | −24.3854 | − | 4.85055i | −1.00223 | − | 0.199356i | ||||
\(593\) | −3.66920 | + | 8.85824i | −0.150676 | + | 0.363764i | −0.981137 | − | 0.193312i | \(-0.938077\pi\) |
0.830461 | + | 0.557076i | \(0.188077\pi\) | |||||||
\(594\) | − | 39.3593i | − | 1.61493i | ||||||
\(595\) | 4.30594 | − | 62.3754i | 0.176526 | − | 2.55714i | ||||
\(596\) | −11.9165 | + | 11.9165i | −0.488119 | + | 0.488119i | ||||
\(597\) | 1.07493 | − | 0.445250i | 0.0439939 | − | 0.0182229i | ||||
\(598\) | −4.06425 | + | 3.04869i | −0.166200 | + | 0.124670i | ||||
\(599\) | −15.7701 | + | 15.7701i | −0.644348 | + | 0.644348i | −0.951621 | − | 0.307273i | \(-0.900584\pi\) |
0.307273 | + | 0.951621i | \(0.400584\pi\) | |||||||
\(600\) | 1.93832 | + | 2.90090i | 0.0791316 | + | 0.118429i | ||||
\(601\) | −2.33005 | − | 1.55689i | −0.0950447 | − | 0.0635068i | 0.507140 | − | 0.861864i | \(-0.330703\pi\) |
−0.602184 | + | 0.798357i | \(0.705703\pi\) | |||||||
\(602\) | 4.44473 | + | 22.3452i | 0.181154 | + | 0.910721i | ||||
\(603\) | 4.09746 | + | 9.89214i | 0.166861 | + | 0.402839i | ||||
\(604\) | −19.3178 | + | 8.00170i | −0.786031 | + | 0.325585i | ||||
\(605\) | 20.0211 | + | 13.3777i | 0.813974 | + | 0.543880i | ||||
\(606\) | −5.41057 | − | 27.2008i | −0.219789 | − | 1.10496i | ||||
\(607\) | 4.65344 | − | 23.3944i | 0.188877 | − | 0.949550i | −0.763774 | − | 0.645484i | \(-0.776656\pi\) |
0.952651 | − | 0.304066i | \(-0.0983444\pi\) | |||||||
\(608\) | −12.6795 | + | 12.6795i | −0.514222 | + | 0.514222i | ||||
\(609\) | 28.4713 | + | 5.66329i | 1.15371 | + | 0.229488i | ||||
\(610\) | 15.8511 | + | 38.2679i | 0.641791 | + | 1.54942i | ||||
\(611\) | −1.62910 | − | 29.8455i | −0.0659064 | − | 1.20742i | ||||
\(612\) | 4.50394 | + | 13.4212i | 0.182061 | + | 0.542519i | ||||
\(613\) | −33.5428 | − | 33.5428i | −1.35478 | − | 1.35478i | −0.880227 | − | 0.474554i | \(-0.842609\pi\) |
−0.474554 | − | 0.880227i | \(-0.657391\pi\) | |||||||
\(614\) | −4.64265 | − | 11.2083i | −0.187362 | − | 0.452332i | ||||
\(615\) | −10.3025 | − | 15.4187i | −0.415436 | − | 0.621744i | ||||
\(616\) | 14.8711 | 0.599174 | ||||||||
\(617\) | −1.61190 | − | 2.41239i | −0.0648928 | − | 0.0971190i | 0.797604 | − | 0.603181i | \(-0.206101\pi\) |
−0.862497 | + | 0.506062i | \(0.831101\pi\) | |||||||
\(618\) | 24.5565 | − | 4.88459i | 0.987807 | − | 0.196487i | ||||
\(619\) | 1.51234 | − | 2.26338i | 0.0607862 | − | 0.0909730i | −0.799831 | − | 0.600225i | \(-0.795078\pi\) |
0.860618 | + | 0.509252i | \(0.170078\pi\) | |||||||
\(620\) | −11.0135 | − | 4.56194i | −0.442313 | − | 0.183212i | ||||
\(621\) | 3.28603 | + | 1.36112i | 0.131864 | + | 0.0546198i | ||||
\(622\) | 50.0655 | + | 33.4527i | 2.00744 | + | 1.34133i | ||||
\(623\) | 14.9185 | + | 9.96823i | 0.597698 | + | 0.399369i | ||||
\(624\) | 12.4870 | − | 9.36678i | 0.499881 | − | 0.374971i | ||||
\(625\) | 17.1891 | + | 17.1891i | 0.687564 | + | 0.687564i | ||||
\(626\) | −10.8355 | + | 54.4736i | −0.433073 | + | 2.17720i | ||||
\(627\) | −9.12724 | + | 3.78063i | −0.364507 | + | 0.150984i | ||||
\(628\) | −9.44094 | −0.376734 | ||||||||
\(629\) | 21.4282 | + | 5.82151i | 0.854398 | + | 0.232119i | ||||
\(630\) | 43.2581 | + | 43.2581i | 1.72345 | + | 1.72345i | ||||
\(631\) | 13.9283 | + | 5.76928i | 0.554476 | + | 0.229672i | 0.642285 | − | 0.766466i | \(-0.277986\pi\) |
−0.0878089 | + | 0.996137i | \(0.527986\pi\) | |||||||
\(632\) | 1.08660 | − | 5.46270i | 0.0432225 | − | 0.217294i | ||||
\(633\) | −10.8101 | + | 10.8101i | −0.429662 | + | 0.429662i | ||||
\(634\) | 2.28930 | − | 11.5091i | 0.0909195 | − | 0.457083i | ||||
\(635\) | −39.6897 | + | 7.89478i | −1.57504 | + | 0.313295i | ||||
\(636\) | −0.760226 | − | 3.82191i | −0.0301449 | − | 0.151549i | ||||
\(637\) | −51.0077 | + | 24.4654i | −2.02100 | + | 0.969356i | ||||
\(638\) | 20.3844 | − | 49.2123i | 0.807026 | − | 1.94833i | ||||
\(639\) | 4.15881 | − | 6.22410i | 0.164520 | − | 0.246222i | ||||
\(640\) | 10.0664 | − | 15.0655i | 0.397911 | − | 0.595516i | ||||
\(641\) | 24.4918 | + | 4.87172i | 0.967368 | + | 0.192421i | 0.653400 | − | 0.757012i | \(-0.273342\pi\) |
0.313967 | + | 0.949434i | \(0.398342\pi\) | |||||||
\(642\) | 0.968950i | 0.0382414i | ||||||||
\(643\) | 7.14508 | − | 35.9208i | 0.281775 | − | 1.41658i | −0.537543 | − | 0.843236i | \(-0.680647\pi\) |
0.819317 | − | 0.573340i | \(-0.194353\pi\) | |||||||
\(644\) | 2.18615 | − | 5.27783i | 0.0861463 | − | 0.207976i | ||||
\(645\) | 5.30724 | + | 5.30724i | 0.208972 | + | 0.208972i | ||||
\(646\) | 14.4634 | − | 12.5954i | 0.569053 | − | 0.495560i | ||||
\(647\) | − | 20.4622i | − | 0.804454i | −0.915540 | − | 0.402227i | \(-0.868236\pi\) | ||
0.915540 | − | 0.402227i | \(-0.131764\pi\) | |||||||
\(648\) | 1.24434 | + | 0.515424i | 0.0488825 | + | 0.0202478i | ||||
\(649\) | 28.7894 | + | 43.0865i | 1.13008 | + | 1.69129i | ||||
\(650\) | −23.5092 | + | 26.2239i | −0.922108 | + | 1.02859i | ||||
\(651\) | −10.1324 | − | 2.01546i | −0.397120 | − | 0.0789922i | ||||
\(652\) | −5.84128 | − | 29.3661i | −0.228762 | − | 1.15006i | ||||
\(653\) | −12.9621 | + | 2.57832i | −0.507245 | + | 0.100897i | −0.442077 | − | 0.896977i | \(-0.645758\pi\) |
−0.0651680 | + | 0.997874i | \(0.520758\pi\) | |||||||
\(654\) | 0.699932 | − | 1.68979i | 0.0273695 | − | 0.0660758i | ||||
\(655\) | 29.8385 | − | 12.3595i | 1.16589 | − | 0.482926i | ||||
\(656\) | −15.9323 | + | 23.8444i | −0.622052 | + | 0.930967i | ||||
\(657\) | 0.911729 | + | 4.58357i | 0.0355699 | + | 0.178822i | ||||
\(658\) | 41.7361 | + | 62.4624i | 1.62704 | + | 2.43504i | ||||
\(659\) | 5.06515 | + | 5.06515i | 0.197310 | + | 0.197310i | 0.798846 | − | 0.601536i | \(-0.205444\pi\) |
−0.601536 | + | 0.798846i | \(0.705444\pi\) | |||||||
\(660\) | −17.3162 | + | 11.5703i | −0.674031 | + | 0.450373i | ||||
\(661\) | 4.66267 | − | 11.2567i | 0.181357 | − | 0.437834i | −0.806890 | − | 0.590702i | \(-0.798851\pi\) |
0.988247 | + | 0.152868i | \(0.0488509\pi\) | |||||||
\(662\) | 10.0992 | 0.392518 | ||||||||
\(663\) | −11.7016 | + | 7.57746i | −0.454453 | + | 0.294284i | ||||
\(664\) | −12.8164 | −0.497374 | ||||||||
\(665\) | 14.1893 | − | 34.2560i | 0.550237 | − | 1.32839i | ||||
\(666\) | −18.0648 | + | 12.0705i | −0.699995 | + | 0.467722i | ||||
\(667\) | 3.40370 | + | 3.40370i | 0.131792 | + | 0.131792i | ||||
\(668\) | 6.62541 | + | 9.91563i | 0.256345 | + | 0.383647i | ||||
\(669\) | 1.14331 | + | 5.74779i | 0.0442028 | + | 0.222222i | ||||
\(670\) | 16.9886 | − | 25.4252i | 0.656326 | − | 0.982262i | ||||
\(671\) | 27.2247 | − | 11.2769i | 1.05100 | − | 0.435338i | ||||
\(672\) | −12.5362 | + | 30.2651i | −0.483596 | + | 1.16750i | ||||
\(673\) | −44.4753 | + | 8.84669i | −1.71440 | + | 0.341015i | −0.952001 | − | 0.306096i | \(-0.900977\pi\) |
−0.762396 | + | 0.647110i | \(0.775977\pi\) | |||||||
\(674\) | −4.56596 | − | 22.9546i | −0.175874 | − | 0.884180i | ||||
\(675\) | 24.1819 | + | 4.81008i | 0.930761 | + | 0.185140i | ||||
\(676\) | 16.4151 | + | 13.1751i | 0.631351 | + | 0.506736i | ||||
\(677\) | 10.6078 | + | 15.8757i | 0.407691 | + | 0.610153i | 0.977325 | − | 0.211746i | \(-0.0679148\pi\) |
−0.569633 | + | 0.821899i | \(0.692915\pi\) | |||||||
\(678\) | −19.1390 | − | 7.92764i | −0.735029 | − | 0.304459i | ||||
\(679\) | − | 6.11959i | − | 0.234848i | ||||||
\(680\) | −5.81601 | + | 7.52530i | −0.223034 | + | 0.288582i | ||||
\(681\) | 4.42106 | + | 4.42106i | 0.169415 | + | 0.169415i | ||||
\(682\) | −7.25443 | + | 17.5138i | −0.277787 | + | 0.670636i | ||||
\(683\) | −0.340531 | + | 1.71197i | −0.0130301 | + | 0.0655065i | −0.986753 | − | 0.162228i | \(-0.948132\pi\) |
0.973723 | + | 0.227735i | \(0.0731319\pi\) | |||||||
\(684\) | 8.39535i | 0.321004i | ||||||||
\(685\) | −9.30938 | − | 1.85175i | −0.355693 | − | 0.0707518i | ||||
\(686\) | 43.7507 | − | 65.4775i | 1.67041 | − | 2.49994i | ||||
\(687\) | 1.50271 | − | 2.24896i | 0.0573320 | − | 0.0858033i | ||||
\(688\) | 4.44181 | − | 10.7235i | 0.169343 | − | 0.408829i | ||||
\(689\) | −8.34346 | + | 4.00188i | −0.317861 | + | 0.152460i | ||||
\(690\) | −0.820680 | − | 4.12584i | −0.0312428 | − | 0.157068i | ||||
\(691\) | −14.3606 | + | 2.85651i | −0.546304 | + | 0.108667i | −0.460524 | − | 0.887647i | \(-0.652338\pi\) |
−0.0857804 | + | 0.996314i | \(0.527338\pi\) | |||||||
\(692\) | −2.75376 | + | 13.8441i | −0.104682 | + | 0.526273i | ||||
\(693\) | 30.7749 | − | 30.7749i | 1.16904 | − | 1.16904i | ||||
\(694\) | 5.70384 | − | 28.6751i | 0.216515 | − | 1.08849i | ||||
\(695\) | 27.0814 | + | 11.2175i | 1.02726 | + | 0.425504i | ||||
\(696\) | −3.12242 | − | 3.12242i | −0.118355 | − | 0.118355i | ||||
\(697\) | 15.6617 | − | 20.2646i | 0.593230 | − | 0.767577i | ||||
\(698\) | 45.3252 | 1.71558 | ||||||||
\(699\) | −12.5066 | + | 5.18042i | −0.473045 | + | 0.195942i | ||||
\(700\) | 7.72567 | − | 38.8396i | 0.292003 | − | 1.46800i | ||||
\(701\) | −15.1133 | − | 15.1133i | −0.570821 | − | 0.570821i | 0.361536 | − | 0.932358i | \(-0.382252\pi\) |
−0.932358 | + | 0.361536i | \(0.882252\pi\) | |||||||
\(702\) | 4.65547 | − | 32.6065i | 0.175709 | − | 1.23065i | ||||
\(703\) | 10.9489 | + | 7.31582i | 0.412945 | + | 0.275921i | ||||
\(704\) | 16.9022 | + | 11.2937i | 0.637025 | + | 0.425646i | ||||
\(705\) | 22.8645 | + | 9.47079i | 0.861127 | + | 0.356691i | ||||
\(706\) | 34.5298 | + | 14.3027i | 1.29955 | + | 0.538290i | ||||
\(707\) | 41.1408 | − | 61.5715i | 1.54726 | − | 2.31563i | ||||
\(708\) | −17.9104 | + | 3.56260i | −0.673113 | + | 0.133891i | ||||
\(709\) | −7.85437 | − | 11.7549i | −0.294977 | − | 0.441465i | 0.654147 | − | 0.756368i | \(-0.273028\pi\) |
−0.949124 | + | 0.314903i | \(0.898028\pi\) | |||||||
\(710\) | −21.3783 | −0.802314 | ||||||||
\(711\) | −9.05609 | − | 13.5534i | −0.339630 | − | 0.508292i | ||||
\(712\) | −1.04446 | − | 2.52155i | −0.0391428 | − | 0.0944992i | ||||
\(713\) | −1.21132 | − | 1.21132i | −0.0453641 | − | 0.0453641i | ||||
\(714\) | 15.6058 | − | 31.3703i | 0.584034 | − | 1.17401i | ||||
\(715\) | 36.8237 | + | 33.0118i | 1.37713 | + | 1.23457i | ||||
\(716\) | −1.67922 | − | 4.05400i | −0.0627554 | − | 0.151505i | ||||
\(717\) | −17.6492 | − | 3.51065i | −0.659123 | − | 0.131108i | ||||
\(718\) | −6.85240 | + | 6.85240i | −0.255729 | + | 0.255729i | ||||
\(719\) | −7.28344 | + | 36.6163i | −0.271626 | + | 1.36556i | 0.568284 | + | 0.822832i | \(0.307608\pi\) |
−0.839910 | + | 0.542725i | \(0.817392\pi\) | |||||||
\(720\) | −6.08037 | − | 30.5681i | −0.226602 | − | 1.13920i | ||||
\(721\) | 55.5859 | + | 37.1413i | 2.07013 | + | 1.38321i | ||||
\(722\) | −22.8862 | + | 9.47979i | −0.851737 | + | 0.352801i | ||||
\(723\) | −1.88531 | − | 4.55153i | −0.0701153 | − | 0.169273i | ||||
\(724\) | 2.10468 | + | 10.5810i | 0.0782199 | + | 0.393238i | ||||
\(725\) | 27.7443 | + | 18.5381i | 1.03040 | + | 0.688489i | ||||
\(726\) | 7.49671 | + | 11.2196i | 0.278229 | + | 0.416399i | ||||
\(727\) | −15.6418 | + | 15.6418i | −0.580124 | + | 0.580124i | −0.934937 | − | 0.354813i | \(-0.884544\pi\) |
0.354813 | + | 0.934937i | \(0.384544\pi\) | |||||||
\(728\) | 12.3197 | + | 1.75898i | 0.456598 | + | 0.0651920i | ||||
\(729\) | −8.83901 | + | 3.66124i | −0.327371 | + | 0.135601i | ||||
\(730\) | 9.43754 | − | 9.43754i | 0.349299 | − | 0.349299i | ||||
\(731\) | −4.61706 | + | 9.28107i | −0.170768 | + | 0.343273i | ||||
\(732\) | 10.3845i | 0.383821i | ||||||||
\(733\) | −15.6296 | + | 37.7331i | −0.577291 | + | 1.39370i | 0.317944 | + | 0.948109i | \(0.397007\pi\) |
−0.895235 | + | 0.445594i | \(0.852993\pi\) | |||||||
\(734\) | −14.9203 | − | 2.96784i | −0.550719 | − | 0.109545i | ||||
\(735\) | − | 46.8403i | − | 1.72773i | ||||||
\(736\) | −4.51655 | + | 3.01787i | −0.166482 | + | 0.111240i | ||||
\(737\) | −18.0881 | − | 12.0861i | −0.666286 | − | 0.445198i | ||||
\(738\) | 4.88884 | + | 24.5779i | 0.179961 | + | 0.904724i | ||||
\(739\) | 2.75095 | − | 1.13948i | 0.101195 | − | 0.0419165i | −0.331511 | − | 0.943451i | \(-0.607559\pi\) |
0.432707 | + | 0.901535i | \(0.357559\pi\) | |||||||
\(740\) | 25.6460 | + | 10.6229i | 0.942767 | + | 0.390507i | ||||
\(741\) | −8.00847 | + | 2.05241i | −0.294198 | + | 0.0753970i | ||||
\(742\) | 12.9210 | − | 19.3376i | 0.474345 | − | 0.709907i | ||||
\(743\) | −8.89687 | + | 5.94470i | −0.326395 | + | 0.218090i | −0.707961 | − | 0.706252i | \(-0.750385\pi\) |
0.381566 | + | 0.924341i | \(0.375385\pi\) | |||||||
\(744\) | 1.11121 | + | 1.11121i | 0.0407391 | + | 0.0407391i | ||||
\(745\) | −27.5508 | + | 18.4088i | −1.00938 | + | 0.674448i | ||||
\(746\) | −56.3067 | − | 23.3230i | −2.06154 | − | 0.853916i | ||||
\(747\) | −26.5229 | + | 26.5229i | −0.970421 | + | 0.970421i | ||||
\(748\) | −22.7584 | − | 17.5890i | −0.832128 | − | 0.643119i | ||||
\(749\) | −1.82942 | + | 1.82942i | −0.0668454 | + | 0.0668454i | ||||
\(750\) | −0.292458 | − | 0.706056i | −0.0106791 | − | 0.0257815i | ||||
\(751\) | −11.2911 | − | 16.8983i | −0.412017 | − | 0.616627i | 0.566186 | − | 0.824277i | \(-0.308418\pi\) |
−0.978203 | + | 0.207650i | \(0.933418\pi\) | |||||||
\(752\) | − | 38.2722i | − | 1.39564i | ||||||
\(753\) | −0.951626 | + | 4.78415i | −0.0346792 | + | 0.174344i | ||||
\(754\) | 22.7080 | − | 38.3579i | 0.826975 | − | 1.39691i | ||||
\(755\) | −40.3219 | + | 8.02052i | −1.46746 | + | 0.291897i | ||||
\(756\) | 14.1726 | + | 34.2157i | 0.515452 | + | 1.24441i | ||||
\(757\) | −17.6944 | + | 42.7182i | −0.643115 | + | 1.55262i | 0.179339 | + | 0.983787i | \(0.442604\pi\) |
−0.822455 | + | 0.568831i | \(0.807396\pi\) | |||||||
\(758\) | 18.0906 | − | 3.59845i | 0.657081 | − | 0.130702i | ||||
\(759\) | −2.93523 | + | 0.583853i | −0.106542 | + | 0.0211925i | ||||
\(760\) | −4.68965 | + | 3.13353i | −0.170112 | + | 0.113665i | ||||
\(761\) | −22.6707 | −0.821810 | −0.410905 | − | 0.911678i | \(-0.634787\pi\) | ||||
−0.410905 | + | 0.911678i | \(0.634787\pi\) | |||||||
\(762\) | −22.2417 | − | 4.42415i | −0.805732 | − | 0.160270i | ||||
\(763\) | 4.51188 | − | 1.86888i | 0.163341 | − | 0.0676580i | ||||
\(764\) | −5.12525 | −0.185425 | ||||||||
\(765\) | 3.53728 | + | 27.6091i | 0.127891 | + | 0.998208i | ||||
\(766\) | − | 29.8096i | − | 1.07706i | ||||||
\(767\) | 18.7537 | + | 39.0994i | 0.677158 | + | 1.41180i | ||||
\(768\) | 15.8000 | − | 10.5573i | 0.570135 | − | 0.380952i | ||||
\(769\) | 16.2109 | 0.584581 | 0.292291 | − | 0.956330i | \(-0.405583\pi\) | ||||
0.292291 | + | 0.956330i | \(0.405583\pi\) | |||||||
\(770\) | −121.907 | − | 24.2489i | −4.39323 | − | 0.873868i | ||||
\(771\) | −6.88112 | + | 10.2983i | −0.247818 | + | 0.370885i | ||||
\(772\) | 25.1839 | + | 16.8273i | 0.906388 | + | 0.605629i | ||||
\(773\) | 9.65925 | + | 23.3195i | 0.347419 | + | 0.838743i | 0.996923 | + | 0.0783855i | \(0.0249765\pi\) |
−0.649504 | + | 0.760358i | \(0.725024\pi\) | |||||||
\(774\) | −3.88142 | − | 9.37059i | −0.139515 | − | 0.336819i | ||||
\(775\) | −9.87368 | − | 6.59738i | −0.354673 | − | 0.236985i | ||||
\(776\) | −0.517172 | + | 0.774003i | −0.0185654 | + | 0.0277851i | ||||
\(777\) | 23.5943 | + | 4.69320i | 0.846442 | + | 0.168368i | ||||
\(778\) | 52.9662 | 1.89893 | ||||||||
\(779\) | 12.6286 | − | 8.43816i | 0.452466 | − | 0.302328i | ||||
\(780\) | −15.7138 | + | 7.53701i | −0.562644 | + | 0.269868i | ||||
\(781\) | 15.2091i | 0.544224i | ||||||||
\(782\) | 5.04158 | − | 2.88746i | 0.180287 | − | 0.103255i | ||||
\(783\) | −31.2059 | −1.11521 | ||||||||
\(784\) | −66.9226 | + | 27.7202i | −2.39009 | + | 0.990009i | ||||
\(785\) | −18.2059 | − | 3.62139i | −0.649798 | − | 0.129253i | ||||
\(786\) | 18.0989 | 0.645566 | ||||||||
\(787\) | 13.5804 | − | 9.07412i | 0.484088 | − | 0.323457i | −0.289465 | − | 0.957189i | \(-0.593477\pi\) |
0.773553 | + | 0.633731i | \(0.218477\pi\) | |||||||
\(788\) | −32.1462 | + | 6.39427i | −1.14516 | + | 0.227786i | ||||
\(789\) | −12.9112 | + | 2.56819i | −0.459650 | + | 0.0914300i | ||||
\(790\) | −17.8150 | + | 43.0091i | −0.633828 | + | 1.53020i | ||||
\(791\) | −21.1675 | − | 51.1029i | −0.752630 | − | 1.81701i | ||||
\(792\) | −6.49321 | + | 1.29158i | −0.230726 | + | 0.0458943i | ||||
\(793\) | 23.8877 | − | 6.12192i | 0.848275 | − | 0.217396i | ||||
\(794\) | −3.54798 | + | 17.8369i | −0.125913 | + | 0.633009i | ||||
\(795\) | − | 7.66181i | − | 0.271736i | ||||||
\(796\) | 1.11607 | + | 1.67031i | 0.0395580 | + | 0.0592027i | ||||
\(797\) | −8.09383 | − | 19.5402i | −0.286698 | − | 0.692151i | 0.713264 | − | 0.700896i | \(-0.247216\pi\) |
−0.999962 | + | 0.00874517i | \(0.997216\pi\) | |||||||
\(798\) | 14.6925 | − | 14.6925i | 0.520109 | − | 0.520109i | ||||
\(799\) | −2.35396 | + | 34.0993i | −0.0832773 | + | 1.20634i | ||||
\(800\) | −26.6260 | + | 26.6260i | −0.941372 | + | 0.941372i | ||||
\(801\) | −7.37966 | − | 3.05676i | −0.260748 | − | 0.108005i | ||||
\(802\) | −52.8769 | + | 35.3312i | −1.86715 | + | 1.24759i | ||||
\(803\) | −6.71410 | − | 6.71410i | −0.236936 | − | 0.236936i | ||||
\(804\) | 6.37427 | − | 4.25915i | 0.224803 | − | 0.150209i | ||||
\(805\) | 6.24027 | − | 9.33922i | 0.219940 | − | 0.329164i | ||||
\(806\) | −8.08135 | + | 13.6509i | −0.284653 | + | 0.480831i | ||||
\(807\) | −12.9946 | − | 5.38254i | −0.457432 | − | 0.189475i | ||||
\(808\) | −10.4069 | + | 4.31069i | −0.366114 | + | 0.151649i | ||||
\(809\) | 0.516350 | + | 2.59587i | 0.0181539 | + | 0.0912659i | 0.988800 | − | 0.149246i | \(-0.0476847\pi\) |
−0.970646 | + | 0.240512i | \(0.922685\pi\) | |||||||
\(810\) | −9.36017 | − | 6.25426i | −0.328883 | − | 0.219752i | ||||
\(811\) | −44.0130 | + | 29.4085i | −1.54551 | + | 1.03267i | −0.567680 | + | 0.823249i | \(0.692159\pi\) |
−0.977825 | + | 0.209424i | \(0.932841\pi\) | |||||||
\(812\) | 50.1211i | 1.75890i | ||||||||
\(813\) | −6.96414 | − | 1.38525i | −0.244243 | − | 0.0485830i | ||||
\(814\) | 16.8927 | − | 40.7825i | 0.592088 | − | 1.42943i | ||||
\(815\) | − | 58.8703i | − | 2.06214i | ||||||
\(816\) | −15.4898 | + | 8.87142i | −0.542250 | + | 0.310562i | ||||
\(817\) | −4.34685 | + | 4.34685i | −0.152077 | + | 0.152077i | ||||
\(818\) | −23.8865 | + | 9.89411i | −0.835172 | + | 0.345939i | ||||
\(819\) | 29.1350 | − | 21.8548i | 1.01806 | − | 0.763669i | ||||
\(820\) | 22.6399 | − | 22.6399i | 0.790620 | − | 0.790620i | ||||
\(821\) | −19.8158 | − | 29.6565i | −0.691577 | − | 1.03502i | −0.996577 | − | 0.0826663i | \(-0.973656\pi\) |
0.305000 | − | 0.952352i | \(-0.401344\pi\) | |||||||
\(822\) | −4.42266 | − | 2.95513i | −0.154258 | − | 0.103072i | ||||
\(823\) | 8.01137 | + | 40.2759i | 0.279259 | + | 1.40393i | 0.824601 | + | 0.565715i | \(0.191400\pi\) |
−0.545342 | + | 0.838214i | \(0.683600\pi\) | |||||||
\(824\) | −3.89163 | − | 9.39523i | −0.135571 | − | 0.327298i | ||||
\(825\) | −19.1665 | + | 7.93904i | −0.667293 | + | 0.276402i | ||||
\(826\) | −90.6207 | − | 60.5508i | −3.15310 | − | 2.10683i | ||||
\(827\) | −6.57960 | − | 33.0779i | −0.228795 | − | 1.15023i | −0.908867 | − | 0.417085i | \(-0.863052\pi\) |
0.680073 | − | 0.733145i | \(-0.261948\pi\) | |||||||
\(828\) | −0.496155 | + | 2.49434i | −0.0172426 | + | 0.0866844i | ||||
\(829\) | 8.22282 | − | 8.22282i | 0.285590 | − | 0.285590i | −0.549743 | − | 0.835334i | \(-0.685275\pi\) |
0.835334 | + | 0.549743i | \(0.185275\pi\) | |||||||
\(830\) | 105.064 | + | 20.8985i | 3.64682 | + | 0.725397i | ||||
\(831\) | 0.663043 | + | 1.60073i | 0.0230007 | + | 0.0555286i | ||||
\(832\) | 12.6665 | + | 11.3552i | 0.439130 | + | 0.393672i | ||||
\(833\) | 61.3307 | − | 20.5817i | 2.12498 | − | 0.713112i | ||||
\(834\) | 11.6153 | + | 11.6153i | 0.402206 | + | 0.402206i | ||||
\(835\) | 8.97300 | + | 21.6627i | 0.310523 | + | 0.749670i | ||||
\(836\) | −9.47656 | − | 14.1827i | −0.327754 | − | 0.490518i | ||||
\(837\) | 11.1056 | 0.383866 | ||||||||
\(838\) | −35.6053 | − | 53.2871i | −1.22996 | − | 1.84077i | ||||
\(839\) | 17.1709 | − | 3.41551i | 0.592807 | − | 0.117917i | 0.110435 | − | 0.993883i | \(-0.464776\pi\) |
0.482372 | + | 0.875967i | \(0.339776\pi\) | |||||||
\(840\) | −5.72457 | + | 8.56743i | −0.197517 | + | 0.295604i | ||||
\(841\) | −12.2252 | − | 5.06386i | −0.421560 | − | 0.174616i | ||||
\(842\) | 35.1664 | + | 14.5664i | 1.21192 | + | 0.501992i | ||||
\(843\) | 14.6709 | + | 9.80279i | 0.505293 | + | 0.337626i | ||||
\(844\) | −21.9471 | − | 14.6646i | −0.755451 | − | 0.504776i | ||||
\(845\) | 26.6012 | + | 31.7036i | 0.915111 | + | 1.09064i | ||||
\(846\) | −23.6483 | − | 23.6483i | −0.813045 | − | 0.813045i | ||||
\(847\) | −7.02900 | + | 35.3372i | −0.241519 | + | 1.21420i | ||||
\(848\) | −10.9467 | + | 4.53428i | −0.375912 | + | 0.155708i | ||||
\(849\) | −3.24486 | −0.111363 | ||||||||
\(850\) | 30.3720 | − | 26.4494i | 1.04175 | − | 0.907208i | ||||
\(851\) | 2.82067 | + | 2.82067i | 0.0966913 | + | 0.0966913i | ||||
\(852\) | −4.95170 | − | 2.05106i | −0.169643 | − | 0.0702683i | ||||
\(853\) | 2.46009 | − | 12.3677i | 0.0842318 | − | 0.423462i | −0.915543 | − | 0.402221i | \(-0.868238\pi\) |
0.999774 | − | 0.0212408i | \(-0.00676168\pi\) | |||||||
\(854\) | −43.8248 | + | 43.8248i | −1.49965 | + | 1.49965i | ||||
\(855\) | −3.22032 | + | 16.1896i | −0.110132 | + | 0.553673i | ||||
\(856\) | 0.385989 | − | 0.0767780i | 0.0131928 | − | 0.00262422i | ||||
\(857\) | 2.42481 | + | 12.1904i | 0.0828301 | + | 0.416415i | 0.999846 | + | 0.0175637i | \(0.00559100\pi\) |
−0.917016 | + | 0.398851i | \(0.869409\pi\) | |||||||
\(858\) | 11.9854 | + | 24.9882i | 0.409175 | + | 0.853083i | ||||
\(859\) | 21.9365 | − | 52.9595i | 0.748465 | − | 1.80695i | 0.181143 | − | 0.983457i | \(-0.442020\pi\) |
0.567321 | − | 0.823497i | \(-0.307980\pi\) | |||||||
\(860\) | −7.19962 | + | 10.7750i | −0.245505 | + | 0.367424i | ||||
\(861\) | 15.4155 | − | 23.0709i | 0.525359 | − | 0.786255i | ||||
\(862\) | −7.94674 | − | 1.58070i | −0.270667 | − | 0.0538390i | ||||
\(863\) | − | 15.9696i | − | 0.543612i | −0.962352 | − | 0.271806i | \(-0.912379\pi\) | ||
0.962352 | − | 0.271806i | \(-0.0876210\pi\) | |||||||
\(864\) | 6.87015 | − | 34.5386i | 0.233727 | − | 1.17503i | ||||
\(865\) | −10.6207 | + | 25.6407i | −0.361116 | + | 0.871810i | ||||
\(866\) | −27.2369 | − | 27.2369i | −0.925549 | − | 0.925549i | ||||
\(867\) | 14.3465 | − | 6.95143i | 0.487233 | − | 0.236083i | ||||
\(868\) | − | 17.8372i | − | 0.605433i | ||||||
\(869\) | 30.5978 | + | 12.6740i | 1.03796 | + | 0.429936i | ||||
\(870\) | 20.5049 | + | 30.6877i | 0.695181 | + | 1.04041i | ||||
\(871\) | −13.5552 | − | 12.1520i | −0.459301 | − | 0.411755i | ||||
\(872\) | −0.728601 | − | 0.144928i | −0.0246735 | − | 0.00490787i | ||||
\(873\) | 0.531496 | + | 2.67201i | 0.0179884 | + | 0.0904339i | ||||
\(874\) | 3.37923 | − | 0.672171i | 0.114304 | − | 0.0227365i | ||||
\(875\) | 0.780889 | − | 1.88523i | 0.0263989 | − | 0.0637325i | ||||
\(876\) | 3.09140 | − | 1.28050i | 0.104449 | − | 0.0432640i | ||||
\(877\) | 22.7570 | − | 34.0582i | 0.768448 | − | 1.15006i | −0.216343 | − | 0.976317i | \(-0.569413\pi\) |
0.984791 | − | 0.173746i | \(-0.0555871\pi\) | |||||||
\(878\) | −3.41872 | − | 17.1871i | −0.115376 | − | 0.580036i | ||||
\(879\) | 8.32978 | + | 12.4664i | 0.280956 | + | 0.420481i | ||||
\(880\) | 44.7767 | + | 44.7767i | 1.50942 | + | 1.50942i | ||||
\(881\) | 44.3956 | − | 29.6642i | 1.49573 | − | 0.999413i | 0.505063 | − | 0.863082i | \(-0.331469\pi\) |
0.990663 | − | 0.136330i | \(-0.0435308\pi\) | |||||||
\(882\) | −24.2230 | + | 58.4795i | −0.815630 | + | 1.96911i | ||||
\(883\) | 27.2605 | 0.917389 | 0.458695 | − | 0.888594i | \(-0.348317\pi\) | ||||
0.458695 | + | 0.888594i | \(0.348317\pi\) | |||||||
\(884\) | −16.7733 | − | 17.2632i | −0.564146 | − | 0.580624i | ||||
\(885\) | −35.9050 | −1.20693 | ||||||||
\(886\) | 5.06362 | − | 12.2246i | 0.170115 | − | 0.410695i | ||||
\(887\) | 28.9990 | − | 19.3765i | 0.973690 | − | 0.650599i | 0.0364687 | − | 0.999335i | \(-0.488389\pi\) |
0.937221 | + | 0.348736i | \(0.113389\pi\) | |||||||
\(888\) | −2.58757 | − | 2.58757i | −0.0868332 | − | 0.0868332i | ||||
\(889\) | −33.6402 | − | 50.3462i | −1.12826 | − | 1.68856i | ||||
\(890\) | 4.45041 | + | 22.3737i | 0.149178 | + | 0.749969i | ||||
\(891\) | −4.44944 | + | 6.65906i | −0.149062 | + | 0.223087i | ||||
\(892\) | −9.34823 | + | 3.87217i | −0.313002 | + | 0.129650i | ||||
\(893\) | −7.75697 | + | 18.7270i | −0.259577 | + | 0.626675i | ||||
\(894\) | −18.2117 | + | 3.62254i | −0.609092 | + | 0.121156i | ||||
\(895\) | −1.68317 | − | 8.46187i | −0.0562622 | − | 0.282849i | ||||
\(896\) | 26.5905 | + | 5.28918i | 0.888326 | + | 0.176699i | ||||
\(897\) | −2.50069 | + | 0.136499i | −0.0834956 | + | 0.00455757i | ||||
\(898\) | 36.2029 | + | 54.1814i | 1.20810 | + | 1.80806i | ||||
\(899\) | 13.8857 | + | 5.75165i | 0.463114 | + | 0.191828i | ||||
\(900\) | 17.6296i | 0.587653i | ||||||||
\(901\) | 10.0320 | − | 3.36660i | 0.334215 | − | 0.112158i | ||||
\(902\) | −36.0021 | − | 36.0021i | −1.19874 | − | 1.19874i | ||||
\(903\) | −4.29773 | + | 10.3756i | −0.143019 | + | 0.345280i | ||||
\(904\) | −1.64149 | + | 8.25235i | −0.0545953 | + | 0.274469i | ||||
\(905\) | 21.2117i | 0.705100i | ||||||||
\(906\) | −22.5960 | − | 4.49462i | −0.750700 | − | 0.149324i | ||||
\(907\) | −5.51566 | + | 8.25476i | −0.183144 | + | 0.274095i | −0.911670 | − | 0.410924i | \(-0.865206\pi\) |
0.728525 | + | 0.685019i | \(0.240206\pi\) | |||||||
\(908\) | −5.99746 | + | 8.97584i | −0.199033 | + | 0.297874i | ||||
\(909\) | −12.6158 | + | 30.4572i | −0.418440 | + | 1.01020i | ||||
\(910\) | −98.1235 | − | 34.5079i | −3.25276 | − | 1.14392i | ||||
\(911\) | 5.30671 | + | 26.6786i | 0.175819 | + | 0.883902i | 0.963477 | + | 0.267790i | \(0.0862932\pi\) |
−0.787658 | + | 0.616112i | \(0.788707\pi\) | |||||||
\(912\) | −10.3824 | + | 2.06518i | −0.343794 | + | 0.0683849i | ||||
\(913\) | 14.8677 | − | 74.7450i | 0.492049 | − | 2.47370i | ||||
\(914\) | 2.65100 | − | 2.65100i | 0.0876873 | − | 0.0876873i | ||||
\(915\) | −3.98331 | + | 20.0255i | −0.131684 | + | 0.662022i | ||||
\(916\) | 4.31458 | + | 1.78716i | 0.142558 | + | 0.0590494i | ||||
\(917\) | 34.1714 | + | 34.1714i | 1.12844 | + | 1.12844i | ||||
\(918\) | −9.87475 | + | 36.3476i | −0.325915 | + | 1.19965i | ||||
\(919\) | −3.16526 | −0.104412 | −0.0522062 | − | 0.998636i | \(-0.516625\pi\) | ||||
−0.0522062 | + | 0.998636i | \(0.516625\pi\) | |||||||
\(920\) | −1.57853 | + | 0.653849i | −0.0520426 | + | 0.0215568i | ||||
\(921\) | 1.16668 | − | 5.86529i | 0.0384434 | − | 0.193268i | ||||
\(922\) | −20.8824 | − | 20.8824i | −0.687724 | − | 0.687724i | ||||
\(923\) | −1.79895 | + | 12.5997i | −0.0592132 | + | 0.414723i | ||||
\(924\) | −25.9100 | − | 17.3125i | −0.852377 | − | 0.569540i | ||||
\(925\) | 22.9919 | + | 15.3627i | 0.755968 | + | 0.505121i | ||||
\(926\) | −42.1812 | − | 17.4720i | −1.38616 | − | 0.574167i | ||||
\(927\) | −27.4964 | − | 11.3894i | −0.903100 | − | 0.374076i | ||||
\(928\) | 26.4777 | − | 39.6267i | 0.869173 | − | 1.30081i | ||||
\(929\) | 3.65889 | − | 0.727798i | 0.120044 | − | 0.0238783i | −0.134703 | − | 0.990886i | \(-0.543008\pi\) |
0.254747 | + | 0.967008i | \(0.418008\pi\) | |||||||
\(930\) | −7.29732 | − | 10.9212i | −0.239289 | − | 0.358121i | ||||
\(931\) | 38.3642 | 1.25734 | ||||||||
\(932\) | −12.9853 | − | 19.4339i | −0.425347 | − | 0.636577i | ||||
\(933\) | 11.3585 | + | 27.4219i | 0.371861 | + | 0.897753i | ||||
\(934\) | −45.9788 | − | 45.9788i | −1.50447 | − | 1.50447i | ||||
\(935\) | −37.1405 | − | 42.6485i | −1.21462 | − | 1.39476i | ||||
\(936\) | −5.53195 | + | 0.301959i | −0.180817 | + | 0.00986984i | ||||
\(937\) | −14.9942 | − | 36.1992i | −0.489839 | − | 1.18257i | −0.954801 | − | 0.297245i | \(-0.903932\pi\) |
0.464963 | − | 0.885330i | \(-0.346068\pi\) | |||||||
\(938\) | 44.8754 | + | 8.92627i | 1.46523 | + | 0.291453i | ||||
\(939\) | −19.3592 | + | 19.3592i | −0.631763 | + | 0.631763i | ||||
\(940\) | −8.33623 | + | 41.9090i | −0.271898 | + | 1.36692i | ||||
\(941\) | 9.96852 | + | 50.1151i | 0.324964 | + | 1.63371i | 0.705336 | + | 0.708873i | \(0.250796\pi\) |
−0.380372 | + | 0.924834i | \(0.624204\pi\) | |||||||
\(942\) | −8.64919 | − | 5.77921i | −0.281806 | − | 0.188297i | ||||
\(943\) | 4.25077 | − | 1.76073i | 0.138424 | − | 0.0573371i | ||||
\(944\) | 21.2487 | + | 51.2988i | 0.691585 | + | 1.66963i | ||||
\(945\) | 14.2059 | + | 71.4180i | 0.462119 | + | 2.32323i | ||||
\(946\) | 17.1345 | + | 11.4489i | 0.557090 | + | 0.372236i | ||||
\(947\) | −2.49272 | − | 3.73062i | −0.0810026 | − | 0.121229i | 0.788756 | − | 0.614706i | \(-0.210726\pi\) |
−0.869759 | + | 0.493477i | \(0.835726\pi\) | |||||||
\(948\) | −8.25270 | + | 8.25270i | −0.268035 | + | 0.268035i | ||||
\(949\) | −4.76802 | − | 6.35632i | −0.154776 | − | 0.206335i | ||||
\(950\) | 22.0658 | − | 9.13996i | 0.715910 | − | 0.296540i | ||||
\(951\) | 4.09017 | − | 4.09017i | 0.132633 | − | 0.132633i | ||||
\(952\) | −13.7332 | − | 3.73097i | −0.445095 | − | 0.120922i | ||||
\(953\) | − | 19.3313i | − | 0.626201i | −0.949720 | − | 0.313100i | \(-0.898632\pi\) | ||
0.949720 | − | 0.313100i | \(-0.101368\pi\) | |||||||
\(954\) | −3.96222 | + | 9.56565i | −0.128282 | + | 0.309699i | ||||
\(955\) | −9.88356 | − | 1.96596i | −0.319824 | − | 0.0636170i | ||||
\(956\) | − | 31.0699i | − | 1.00487i | ||||||
\(957\) | 21.8320 | − | 14.5877i | 0.705730 | − | 0.471553i | ||||
\(958\) | −5.83112 | − | 3.89623i | −0.188395 | − | 0.125882i | ||||
\(959\) | −2.77076 | − | 13.9295i | −0.0894724 | − | 0.449808i | ||||
\(960\) | −13.0128 | + | 5.39010i | −0.419988 | + | 0.173965i | ||||
\(961\) | 23.6986 | + | 9.81628i | 0.764471 | + | 0.316654i | ||||
\(962\) | 18.8182 | − | 31.7874i | 0.606724 | − | 1.02487i | ||||
\(963\) | 0.639894 | − | 0.957670i | 0.0206203 | − | 0.0308605i | ||||
\(964\) | 7.07255 | − | 4.72572i | 0.227791 | − | 0.152205i | ||||
\(965\) | 42.1100 | + | 42.1100i | 1.35557 | + | 1.35557i | ||||
\(966\) | 5.23360 | − | 3.49698i | 0.168388 | − | 0.112513i | ||||
\(967\) | −1.84439 | − | 0.763972i | −0.0593117 | − | 0.0245677i | 0.352830 | − | 0.935687i | \(-0.385219\pi\) |
−0.412142 | + | 0.911120i | \(0.635219\pi\) | |||||||
\(968\) | 3.87540 | − | 3.87540i | 0.124560 | − | 0.124560i | ||||
\(969\) | 9.37735 | − | 1.20143i | 0.301244 | − | 0.0385955i | ||||
\(970\) | 5.50165 | − | 5.50165i | 0.176647 | − | 0.176647i | ||||
\(971\) | −4.18218 | − | 10.0967i | −0.134213 | − | 0.324018i | 0.842458 | − | 0.538763i | \(-0.181108\pi\) |
−0.976670 | + | 0.214745i | \(0.931108\pi\) | |||||||
\(972\) | −14.5264 | − | 21.7403i | −0.465934 | − | 0.697320i | ||||
\(973\) | 43.8604i | 1.40610i | ||||||||
\(974\) | −8.45043 | + | 42.4832i | −0.270769 | + | 1.36125i | ||||
\(975\) | −16.8172 | + | 4.30990i | −0.538581 | + | 0.138027i | ||||
\(976\) | 30.9685 | − | 6.16002i | 0.991277 | − | 0.197177i | ||||
\(977\) | 11.2665 | + | 27.1997i | 0.360447 | + | 0.870197i | 0.995235 | + | 0.0975100i | \(0.0310878\pi\) |
−0.634787 | + | 0.772687i | \(0.718912\pi\) | |||||||
\(978\) | 12.6248 | − | 30.4791i | 0.403698 | − | 0.974613i | ||||
\(979\) | 15.9172 | − | 3.16614i | 0.508717 | − | 0.101190i | ||||
\(980\) | 79.3197 | − | 15.7777i | 2.53378 | − | 0.503999i | ||||
\(981\) | −1.80772 | + | 1.20788i | −0.0577160 | + | 0.0385646i | ||||
\(982\) | −6.58771 | −0.210222 | ||||||||
\(983\) | −32.9811 | − | 6.56035i | −1.05193 | − | 0.209243i | −0.361302 | − | 0.932449i | \(-0.617668\pi\) |
−0.690632 | + | 0.723206i | \(0.742668\pi\) | |||||||
\(984\) | −3.89949 | + | 1.61522i | −0.124311 | + | 0.0514913i | ||||
\(985\) | −64.4435 | −2.05334 | ||||||||
\(986\) | −31.1713 | + | 40.3324i | −0.992697 | + | 1.28445i | ||||
\(987\) | 37.0307i | 1.17870i | ||||||||
\(988\) | −6.17313 | − | 12.8703i | −0.196393 | − | 0.409458i | ||||
\(989\) | −1.54839 | + | 1.03460i | −0.0492358 | + | 0.0328983i | ||||
\(990\) | 55.3347 | 1.75865 | ||||||||
\(991\) | 45.6147 | + | 9.07332i | 1.44900 | + | 0.288223i | 0.855998 | − | 0.516979i | \(-0.172944\pi\) |
0.592999 | + | 0.805203i | \(0.297944\pi\) | |||||||
\(992\) | −9.42293 | + | 14.1024i | −0.299178 | + | 0.447752i | ||||
\(993\) | 4.13928 | + | 2.76578i | 0.131356 | + | 0.0877694i | ||||
\(994\) | −12.2413 | − | 29.5532i | −0.388272 | − | 0.937371i | ||||
\(995\) | 1.51153 | + | 3.64915i | 0.0479186 | + | 0.115686i | ||||
\(996\) | 22.3301 | + | 14.9205i | 0.707557 | + | 0.472774i | ||||
\(997\) | 24.1227 | − | 36.1022i | 0.763975 | − | 1.14337i | −0.221766 | − | 0.975100i | \(-0.571182\pi\) |
0.985741 | − | 0.168270i | \(-0.0538179\pi\) | |||||||
\(998\) | −40.2655 | − | 8.00931i | −1.27458 | − | 0.253530i | ||||
\(999\) | −25.8605 | −0.818190 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 221.2.z.a.216.4 | yes | 152 | |
13.5 | odd | 4 | 221.2.ba.a.148.16 | yes | 152 | ||
17.10 | odd | 16 | 221.2.ba.a.112.16 | yes | 152 | ||
221.44 | even | 16 | inner | 221.2.z.a.44.4 | ✓ | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
221.2.z.a.44.4 | ✓ | 152 | 221.44 | even | 16 | inner | |
221.2.z.a.216.4 | yes | 152 | 1.1 | even | 1 | trivial | |
221.2.ba.a.112.16 | yes | 152 | 17.10 | odd | 16 | ||
221.2.ba.a.148.16 | yes | 152 | 13.5 | odd | 4 |