Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 191.56 | ||
Character | \(\chi\) | \(=\) | 300.191 |
Dual form | 300.2.n.a.11.56 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40873 | + | 0.124406i | 0.996123 | + | 0.0879685i | ||||
\(3\) | −0.392752 | − | 1.68693i | −0.226756 | − | 0.973952i | ||||
\(4\) | 1.96905 | + | 0.350510i | 0.984523 | + | 0.175255i | ||||
\(5\) | 2.20342 | − | 0.380687i | 0.985401 | − | 0.170249i | ||||
\(6\) | −0.343417 | − | 2.42530i | −0.140200 | − | 0.990123i | ||||
\(7\) | 0.0822219i | 0.0310770i | 0.999879 | + | 0.0155385i | \(0.00494625\pi\) | ||||
−0.999879 | + | 0.0155385i | \(0.995054\pi\) | |||||||
\(8\) | 2.73025 | + | 0.738736i | 0.965289 | + | 0.261183i | ||||
\(9\) | −2.69149 | + | 1.32509i | −0.897164 | + | 0.441698i | ||||
\(10\) | 3.15139 | − | 0.262166i | 0.996558 | − | 0.0829042i | ||||
\(11\) | −2.26115 | − | 1.64282i | −0.681761 | − | 0.495328i | 0.192180 | − | 0.981360i | \(-0.438444\pi\) |
−0.873941 | + | 0.486031i | \(0.838444\pi\) | |||||||
\(12\) | −0.182061 | − | 3.45931i | −0.0525564 | − | 0.998618i | ||||
\(13\) | −3.85618 | + | 2.80168i | −1.06951 | + | 0.777045i | −0.975824 | − | 0.218557i | \(-0.929865\pi\) |
−0.0936864 | + | 0.995602i | \(0.529865\pi\) | |||||||
\(14\) | −0.0102289 | + | 0.115829i | −0.00273380 | + | 0.0309565i | ||||
\(15\) | −1.50759 | − | 3.56751i | −0.389259 | − | 0.921128i | ||||
\(16\) | 3.75429 | + | 1.38034i | 0.938571 | + | 0.345085i | ||||
\(17\) | 3.83252 | + | 1.24526i | 0.929522 | + | 0.302020i | 0.734367 | − | 0.678752i | \(-0.237479\pi\) |
0.195155 | + | 0.980772i | \(0.437479\pi\) | |||||||
\(18\) | −3.95644 | + | 1.53186i | −0.932541 | + | 0.361064i | ||||
\(19\) | −2.03592 | − | 0.661512i | −0.467073 | − | 0.151761i | 0.0660193 | − | 0.997818i | \(-0.478970\pi\) |
−0.533092 | + | 0.846057i | \(0.678970\pi\) | |||||||
\(20\) | 4.47208 | + | 0.0227314i | 0.999987 | + | 0.00508290i | ||||
\(21\) | 0.138703 | − | 0.0322929i | 0.0302675 | − | 0.00704688i | ||||
\(22\) | −2.98097 | − | 2.59559i | −0.635545 | − | 0.553382i | ||||
\(23\) | −1.93558 | − | 1.40628i | −0.403595 | − | 0.293229i | 0.367408 | − | 0.930060i | \(-0.380245\pi\) |
−0.771004 | + | 0.636830i | \(0.780245\pi\) | |||||||
\(24\) | 0.173886 | − | 4.89589i | 0.0354943 | − | 0.999370i | ||||
\(25\) | 4.71015 | − | 1.67763i | 0.942031 | − | 0.335526i | ||||
\(26\) | −5.78086 | + | 3.46707i | −1.13372 | + | 0.679949i | ||||
\(27\) | 3.29244 | + | 4.01993i | 0.633630 | + | 0.773636i | ||||
\(28\) | −0.0288196 | + | 0.161899i | −0.00544639 | + | 0.0305960i | ||||
\(29\) | 3.40204 | − | 1.10539i | 0.631742 | − | 0.205265i | 0.0243955 | − | 0.999702i | \(-0.492234\pi\) |
0.607347 | + | 0.794437i | \(0.292234\pi\) | |||||||
\(30\) | −1.67997 | − | 5.21322i | −0.306720 | − | 0.951800i | ||||
\(31\) | −2.91747 | − | 0.947944i | −0.523993 | − | 0.170256i | 0.0350636 | − | 0.999385i | \(-0.488837\pi\) |
−0.559057 | + | 0.829129i | \(0.688837\pi\) | |||||||
\(32\) | 5.11706 | + | 2.41159i | 0.904576 | + | 0.426312i | ||||
\(33\) | −1.88326 | + | 4.45962i | −0.327833 | + | 0.776321i | ||||
\(34\) | 5.24407 | + | 2.23103i | 0.899351 | + | 0.382618i | ||||
\(35\) | 0.0313008 | + | 0.181170i | 0.00529081 | + | 0.0306233i | ||||
\(36\) | −5.76413 | + | 1.66578i | −0.960688 | + | 0.277630i | ||||
\(37\) | −7.33089 | + | 5.32620i | −1.20519 | + | 0.875622i | −0.994785 | − | 0.101992i | \(-0.967478\pi\) |
−0.210405 | + | 0.977614i | \(0.567478\pi\) | |||||||
\(38\) | −2.78577 | − | 1.18517i | −0.451912 | − | 0.192261i | ||||
\(39\) | 6.24076 | + | 5.40475i | 0.999322 | + | 0.865452i | ||||
\(40\) | 6.29713 | + | 0.588377i | 0.995663 | + | 0.0930306i | ||||
\(41\) | −4.77346 | − | 6.57011i | −0.745490 | − | 1.02608i | −0.998284 | − | 0.0585585i | \(-0.981350\pi\) |
0.252794 | − | 0.967520i | \(-0.418650\pi\) | |||||||
\(42\) | 0.199413 | − | 0.0282364i | 0.0307700 | − | 0.00435698i | ||||
\(43\) | 8.76981i | 1.33738i | 0.743540 | + | 0.668692i | \(0.233145\pi\) | ||||
−0.743540 | + | 0.668692i | \(0.766855\pi\) | |||||||
\(44\) | −3.87648 | − | 4.02734i | −0.584401 | − | 0.607144i | ||||
\(45\) | −5.42605 | + | 3.94436i | −0.808868 | + | 0.587991i | ||||
\(46\) | −2.55176 | − | 2.22187i | −0.376236 | − | 0.327596i | ||||
\(47\) | 0.650533 | + | 2.00213i | 0.0948900 | + | 0.292041i | 0.987225 | − | 0.159332i | \(-0.0509342\pi\) |
−0.892335 | + | 0.451374i | \(0.850934\pi\) | |||||||
\(48\) | 0.854038 | − | 6.87536i | 0.123270 | − | 0.992373i | ||||
\(49\) | 6.99324 | 0.999034 | ||||||||
\(50\) | 6.84405 | − | 1.77736i | 0.967895 | − | 0.251356i | ||||
\(51\) | 0.595441 | − | 6.95428i | 0.0833785 | − | 0.973795i | ||||
\(52\) | −8.57500 | + | 4.16500i | −1.18914 | + | 0.577582i | ||||
\(53\) | −7.15672 | + | 2.32536i | −0.983051 | + | 0.319413i | −0.756073 | − | 0.654487i | \(-0.772884\pi\) |
−0.226978 | + | 0.973900i | \(0.572884\pi\) | |||||||
\(54\) | 4.13805 | + | 6.07260i | 0.563118 | + | 0.826377i | ||||
\(55\) | −5.60766 | − | 2.75904i | −0.756137 | − | 0.372028i | ||||
\(56\) | −0.0607403 | + | 0.224486i | −0.00811676 | + | 0.0299983i | ||||
\(57\) | −0.316312 | + | 3.69428i | −0.0418966 | + | 0.489319i | ||||
\(58\) | 4.93007 | − | 1.13396i | 0.647350 | − | 0.148896i | ||||
\(59\) | −7.56329 | + | 5.49505i | −0.984656 | + | 0.715395i | −0.958744 | − | 0.284269i | \(-0.908249\pi\) |
−0.0259120 | + | 0.999664i | \(0.508249\pi\) | |||||||
\(60\) | −1.71807 | − | 7.55303i | −0.221802 | − | 0.975092i | ||||
\(61\) | −2.43750 | − | 1.77094i | −0.312089 | − | 0.226746i | 0.420703 | − | 0.907198i | \(-0.361783\pi\) |
−0.732792 | + | 0.680452i | \(0.761783\pi\) | |||||||
\(62\) | −3.99200 | − | 1.69835i | −0.506985 | − | 0.215691i | ||||
\(63\) | −0.108952 | − | 0.221300i | −0.0137266 | − | 0.0278811i | ||||
\(64\) | 6.90854 | + | 4.03387i | 0.863567 | + | 0.504234i | ||||
\(65\) | −7.43023 | + | 7.64128i | −0.921606 | + | 0.947784i | ||||
\(66\) | −3.20781 | + | 6.04812i | −0.394854 | + | 0.744472i | ||||
\(67\) | 12.2429 | + | 3.97795i | 1.49571 | + | 0.485984i | 0.938762 | − | 0.344566i | \(-0.111974\pi\) |
0.556943 | + | 0.830550i | \(0.311974\pi\) | |||||||
\(68\) | 7.10993 | + | 3.79531i | 0.862206 | + | 0.460249i | ||||
\(69\) | −1.61210 | + | 3.81751i | −0.194074 | + | 0.459574i | ||||
\(70\) | 0.0215558 | + | 0.259113i | 0.00257641 | + | 0.0309700i | ||||
\(71\) | 1.11371 | + | 3.42765i | 0.132173 | + | 0.406787i | 0.995140 | − | 0.0984739i | \(-0.0313961\pi\) |
−0.862966 | + | 0.505261i | \(0.831396\pi\) | |||||||
\(72\) | −8.32734 | + | 1.62954i | −0.981386 | + | 0.192043i | ||||
\(73\) | −1.23678 | − | 0.898571i | −0.144754 | − | 0.105170i | 0.513051 | − | 0.858358i | \(-0.328515\pi\) |
−0.657805 | + | 0.753188i | \(0.728515\pi\) | |||||||
\(74\) | −10.9899 | + | 6.59118i | −1.27755 | + | 0.766209i | ||||
\(75\) | −4.67998 | − | 7.28682i | −0.540397 | − | 0.841410i | ||||
\(76\) | −3.77696 | − | 2.01616i | −0.433247 | − | 0.231269i | ||||
\(77\) | 0.135076 | − | 0.185916i | 0.0153933 | − | 0.0211871i | ||||
\(78\) | 8.11917 | + | 8.39023i | 0.919315 | + | 0.950006i | ||||
\(79\) | 4.51758 | − | 1.46785i | 0.508268 | − | 0.165146i | −0.0436467 | − | 0.999047i | \(-0.513898\pi\) |
0.551914 | + | 0.833901i | \(0.313898\pi\) | |||||||
\(80\) | 8.79776 | + | 1.61227i | 0.983620 | + | 0.180257i | ||||
\(81\) | 5.48825 | − | 7.13296i | 0.609805 | − | 0.792551i | ||||
\(82\) | −5.90716 | − | 9.84936i | −0.652337 | − | 1.08768i | ||||
\(83\) | 2.96963 | − | 9.13959i | 0.325960 | − | 1.00320i | −0.645046 | − | 0.764144i | \(-0.723162\pi\) |
0.971006 | − | 0.239057i | \(-0.0768382\pi\) | |||||||
\(84\) | 0.284431 | − | 0.0149694i | 0.0310340 | − | 0.00163329i | ||||
\(85\) | 8.91872 | + | 1.28485i | 0.967371 | + | 0.139361i | ||||
\(86\) | −1.09102 | + | 12.3543i | −0.117648 | + | 1.33220i | ||||
\(87\) | −3.20088 | − | 5.30487i | −0.343170 | − | 0.568741i | ||||
\(88\) | −4.95989 | − | 6.15570i | −0.528726 | − | 0.656199i | ||||
\(89\) | 6.21625 | − | 8.55594i | 0.658922 | − | 0.906928i | −0.340524 | − | 0.940236i | \(-0.610604\pi\) |
0.999445 | + | 0.0333083i | \(0.0106043\pi\) | |||||||
\(90\) | −8.13455 | + | 4.88151i | −0.857457 | + | 0.514556i | ||||
\(91\) | −0.230359 | − | 0.317062i | −0.0241482 | − | 0.0332371i | ||||
\(92\) | −3.31832 | − | 3.44747i | −0.345959 | − | 0.359423i | ||||
\(93\) | −0.453274 | + | 5.29389i | −0.0470024 | + | 0.548951i | ||||
\(94\) | 0.667348 | + | 2.90140i | 0.0688317 | + | 0.299256i | ||||
\(95\) | −4.73783 | − | 0.682541i | −0.486091 | − | 0.0700272i | ||||
\(96\) | 2.05845 | − | 9.57929i | 0.210090 | − | 0.977682i | ||||
\(97\) | −2.56567 | − | 7.89632i | −0.260504 | − | 0.801750i | −0.992695 | − | 0.120650i | \(-0.961502\pi\) |
0.732191 | − | 0.681100i | \(-0.238498\pi\) | |||||||
\(98\) | 9.85159 | + | 0.870003i | 0.995161 | + | 0.0878836i | ||||
\(99\) | 8.26274 | + | 1.42540i | 0.830437 | + | 0.143258i | ||||
\(100\) | 9.86254 | − | 1.65238i | 0.986254 | − | 0.165238i | ||||
\(101\) | − | 12.0408i | − | 1.19810i | −0.800711 | − | 0.599050i | \(-0.795545\pi\) | ||
0.800711 | − | 0.599050i | \(-0.204455\pi\) | |||||||
\(102\) | 1.70397 | − | 9.72264i | 0.168718 | − | 0.962685i | ||||
\(103\) | 18.4706 | − | 6.00148i | 1.81997 | − | 0.591343i | 0.820151 | − | 0.572147i | \(-0.193889\pi\) |
0.999816 | − | 0.0191961i | \(-0.00611068\pi\) | |||||||
\(104\) | −12.5980 | + | 4.80058i | −1.23534 | + | 0.470736i | ||||
\(105\) | 0.293328 | − | 0.123957i | 0.0286259 | − | 0.0120970i | ||||
\(106\) | −10.3712 | + | 2.38546i | −1.00734 | + | 0.231697i | ||||
\(107\) | −19.5335 | −1.88838 | −0.944190 | − | 0.329402i | \(-0.893153\pi\) | ||||
−0.944190 | + | 0.329402i | \(0.893153\pi\) | |||||||
\(108\) | 5.07393 | + | 9.06947i | 0.488239 | + | 0.872710i | ||||
\(109\) | 1.24224 | − | 0.902543i | 0.118985 | − | 0.0864479i | −0.526701 | − | 0.850051i | \(-0.676571\pi\) |
0.645687 | + | 0.763603i | \(0.276571\pi\) | |||||||
\(110\) | −7.55645 | − | 4.58437i | −0.720479 | − | 0.437102i | ||||
\(111\) | 11.8642 | + | 10.2748i | 1.12610 | + | 0.975245i | ||||
\(112\) | −0.113494 | + | 0.308685i | −0.0107242 | + | 0.0291680i | ||||
\(113\) | −9.23389 | − | 12.7094i | −0.868651 | − | 1.19560i | −0.979437 | − | 0.201751i | \(-0.935337\pi\) |
0.110786 | − | 0.993844i | \(-0.464663\pi\) | |||||||
\(114\) | −0.905191 | + | 5.16489i | −0.0847789 | + | 0.483737i | ||||
\(115\) | −4.80025 | − | 2.36178i | −0.447625 | − | 0.220237i | ||||
\(116\) | 7.08622 | − | 0.984113i | 0.657939 | − | 0.0913726i | ||||
\(117\) | 6.66638 | − | 12.6505i | 0.616307 | − | 1.16954i | ||||
\(118\) | −11.3383 | + | 6.80013i | −1.04377 | + | 0.626003i | ||||
\(119\) | −0.102388 | + | 0.315117i | −0.00938587 | + | 0.0288867i | ||||
\(120\) | −1.48066 | − | 10.8539i | −0.135165 | − | 0.990823i | ||||
\(121\) | −0.985260 | − | 3.03232i | −0.0895691 | − | 0.275665i | ||||
\(122\) | −3.21346 | − | 2.79802i | −0.290933 | − | 0.253321i | ||||
\(123\) | −9.20855 | + | 10.6329i | −0.830307 | + | 0.958740i | ||||
\(124\) | −5.41237 | − | 2.88915i | −0.486045 | − | 0.259453i | ||||
\(125\) | 9.73981 | − | 5.48963i | 0.871156 | − | 0.491007i | ||||
\(126\) | −0.125953 | − | 0.325306i | −0.0112208 | − | 0.0289805i | ||||
\(127\) | −9.60363 | + | 13.2183i | −0.852185 | + | 1.17293i | 0.131193 | + | 0.991357i | \(0.458119\pi\) |
−0.983377 | + | 0.181575i | \(0.941881\pi\) | |||||||
\(128\) | 9.23043 | + | 6.54210i | 0.815863 | + | 0.578246i | ||||
\(129\) | 14.7941 | − | 3.44437i | 1.30255 | − | 0.303259i | ||||
\(130\) | −11.4178 | + | 9.84013i | −1.00141 | + | 0.863037i | ||||
\(131\) | 4.71724 | − | 14.5182i | 0.412147 | − | 1.26846i | −0.502631 | − | 0.864501i | \(-0.667634\pi\) |
0.914778 | − | 0.403957i | \(-0.132366\pi\) | |||||||
\(132\) | −5.27136 | + | 8.12111i | −0.458813 | + | 0.706852i | ||||
\(133\) | 0.0543908 | − | 0.167398i | 0.00471628 | − | 0.0145152i | ||||
\(134\) | 16.7520 | + | 7.12695i | 1.44716 | + | 0.615675i | ||||
\(135\) | 8.78497 | + | 7.60423i | 0.756090 | + | 0.654468i | ||||
\(136\) | 9.54382 | + | 6.23109i | 0.818376 | + | 0.534312i | ||||
\(137\) | 12.4775 | + | 17.1739i | 1.06603 | + | 1.46726i | 0.874034 | + | 0.485866i | \(0.161496\pi\) |
0.191994 | + | 0.981396i | \(0.438504\pi\) | |||||||
\(138\) | −2.74593 | + | 5.17729i | −0.233749 | + | 0.440720i | ||||
\(139\) | 0.484944 | − | 0.667468i | 0.0411324 | − | 0.0566139i | −0.787955 | − | 0.615732i | \(-0.788860\pi\) |
0.829088 | + | 0.559118i | \(0.188860\pi\) | |||||||
\(140\) | −0.00186902 | + | 0.367703i | −0.000157961 | + | 0.0310766i | ||||
\(141\) | 3.12197 | − | 1.88375i | 0.262917 | − | 0.158640i | ||||
\(142\) | 1.14250 | + | 4.96719i | 0.0958764 | + | 0.416838i | ||||
\(143\) | 13.3220 | 1.11404 | ||||||||
\(144\) | −11.9337 | + | 1.25961i | −0.994476 | + | 0.104967i | ||||
\(145\) | 7.07532 | − | 3.73075i | 0.587573 | − | 0.309822i | ||||
\(146\) | −1.63050 | − | 1.41971i | −0.134941 | − | 0.117496i | ||||
\(147\) | −2.74661 | − | 11.7971i | −0.226537 | − | 0.973011i | ||||
\(148\) | −16.3017 | + | 7.91799i | −1.33999 | + | 0.650854i | ||||
\(149\) | 2.64853i | 0.216976i | 0.994098 | + | 0.108488i | \(0.0346010\pi\) | ||||
−0.994098 | + | 0.108488i | \(0.965399\pi\) | |||||||
\(150\) | −5.68630 | − | 10.8474i | −0.464285 | − | 0.885686i | ||||
\(151\) | 14.9712i | 1.21834i | 0.793039 | + | 0.609171i | \(0.208498\pi\) | ||||
−0.793039 | + | 0.609171i | \(0.791502\pi\) | |||||||
\(152\) | −5.06990 | − | 3.31010i | −0.411223 | − | 0.268485i | ||||
\(153\) | −11.9653 | + | 1.72684i | −0.967335 | + | 0.139607i | ||||
\(154\) | 0.213414 | − | 0.245101i | 0.0171974 | − | 0.0197508i | ||||
\(155\) | −6.78930 | − | 0.978078i | −0.545329 | − | 0.0785611i | ||||
\(156\) | 10.3939 | + | 12.8296i | 0.832181 | + | 1.02719i | ||||
\(157\) | −6.48646 | −0.517676 | −0.258838 | − | 0.965921i | \(-0.583340\pi\) | ||||
−0.258838 | + | 0.965921i | \(0.583340\pi\) | |||||||
\(158\) | 6.54667 | − | 1.50579i | 0.520825 | − | 0.119794i | ||||
\(159\) | 6.73354 | + | 11.1596i | 0.534005 | + | 0.885015i | ||||
\(160\) | 12.1931 | + | 3.36575i | 0.963949 | + | 0.266086i | ||||
\(161\) | 0.115627 | − | 0.159147i | 0.00911268 | − | 0.0125425i | ||||
\(162\) | 8.61885 | − | 9.36565i | 0.677161 | − | 0.735835i | ||||
\(163\) | −12.4960 | − | 17.1993i | −0.978763 | − | 1.34715i | −0.937493 | − | 0.348004i | \(-0.886860\pi\) |
−0.0412703 | − | 0.999148i | \(-0.513140\pi\) | |||||||
\(164\) | −7.09628 | − | 14.6100i | −0.554126 | − | 1.14085i | ||||
\(165\) | −2.45189 | + | 10.5434i | −0.190879 | + | 0.820801i | ||||
\(166\) | 5.32044 | − | 12.5058i | 0.412946 | − | 0.970637i | ||||
\(167\) | −6.22266 | + | 19.1514i | −0.481524 | + | 1.48198i | 0.355430 | + | 0.934703i | \(0.384334\pi\) |
−0.836953 | + | 0.547274i | \(0.815666\pi\) | |||||||
\(168\) | 0.402550 | + | 0.0142972i | 0.0310574 | + | 0.00110306i | ||||
\(169\) | 3.00348 | − | 9.24377i | 0.231037 | − | 0.711059i | ||||
\(170\) | 12.4042 | + | 2.91955i | 0.951361 | + | 0.223919i | ||||
\(171\) | 6.35624 | − | 0.917339i | 0.486074 | − | 0.0701507i | ||||
\(172\) | −3.07391 | + | 17.2682i | −0.234383 | + | 1.31669i | ||||
\(173\) | 2.57632 | − | 3.54600i | 0.195874 | − | 0.269597i | −0.699771 | − | 0.714367i | \(-0.746715\pi\) |
0.895645 | + | 0.444770i | \(0.146715\pi\) | |||||||
\(174\) | −3.84921 | − | 7.87134i | −0.291808 | − | 0.596725i | ||||
\(175\) | 0.137938 | + | 0.387278i | 0.0104271 | + | 0.0292755i | ||||
\(176\) | −6.22134 | − | 9.28876i | −0.468951 | − | 0.700167i | ||||
\(177\) | 12.2403 | + | 10.6006i | 0.920036 | + | 0.796788i | ||||
\(178\) | 9.82144 | − | 11.2797i | 0.736148 | − | 0.845447i | ||||
\(179\) | −5.06138 | − | 15.5773i | −0.378305 | − | 1.16430i | −0.941222 | − | 0.337789i | \(-0.890321\pi\) |
0.562917 | − | 0.826514i | \(-0.309679\pi\) | |||||||
\(180\) | −12.0667 | + | 5.86475i | −0.899397 | + | 0.437132i | ||||
\(181\) | −1.35207 | + | 4.16123i | −0.100498 | + | 0.309302i | −0.988648 | − | 0.150253i | \(-0.951991\pi\) |
0.888149 | + | 0.459555i | \(0.151991\pi\) | |||||||
\(182\) | −0.285070 | − | 0.475313i | −0.0211308 | − | 0.0352326i | ||||
\(183\) | −2.03013 | + | 4.80744i | −0.150072 | + | 0.355376i | ||||
\(184\) | −4.24574 | − | 5.26937i | −0.313000 | − | 0.388463i | ||||
\(185\) | −14.1254 | + | 14.5267i | −1.03852 | + | 1.06802i | ||||
\(186\) | −1.29713 | + | 7.40127i | −0.0951105 | + | 0.542688i | ||||
\(187\) | −6.62015 | − | 9.11185i | −0.484113 | − | 0.666324i | ||||
\(188\) | 0.579161 | + | 4.17031i | 0.0422397 | + | 0.304151i | ||||
\(189\) | −0.330527 | + | 0.270711i | −0.0240423 | + | 0.0196913i | ||||
\(190\) | −6.58942 | − | 1.55093i | −0.478047 | − | 0.112516i | ||||
\(191\) | 13.2471 | − | 9.62455i | 0.958523 | − | 0.696408i | 0.00571595 | − | 0.999984i | \(-0.498181\pi\) |
0.952807 | + | 0.303576i | \(0.0981805\pi\) | |||||||
\(192\) | 4.09152 | − | 13.2386i | 0.295280 | − | 0.955411i | ||||
\(193\) | 8.27842 | 0.595894 | 0.297947 | − | 0.954582i | \(-0.403698\pi\) | ||||
0.297947 | + | 0.954582i | \(0.403698\pi\) | |||||||
\(194\) | −2.63199 | − | 11.4430i | −0.188966 | − | 0.821558i | ||||
\(195\) | 15.8086 | + | 9.53317i | 1.13207 | + | 0.682685i | ||||
\(196\) | 13.7700 | + | 2.45120i | 0.983572 | + | 0.175086i | ||||
\(197\) | 11.6056 | − | 3.77088i | 0.826864 | − | 0.268664i | 0.135140 | − | 0.990827i | \(-0.456852\pi\) |
0.691724 | + | 0.722162i | \(0.256852\pi\) | |||||||
\(198\) | 11.4627 | + | 3.03594i | 0.814615 | + | 0.215755i | ||||
\(199\) | − | 21.9186i | − | 1.55377i | −0.629642 | − | 0.776885i | \(-0.716799\pi\) | ||
0.629642 | − | 0.776885i | \(-0.283201\pi\) | |||||||
\(200\) | 14.0992 | − | 1.10079i | 0.996966 | − | 0.0778377i | ||||
\(201\) | 1.90212 | − | 22.2153i | 0.134165 | − | 1.56694i | ||||
\(202\) | 1.49795 | − | 16.9622i | 0.105395 | − | 1.19346i | ||||
\(203\) | 0.0908872 | + | 0.279722i | 0.00637903 | + | 0.0196326i | ||||
\(204\) | 3.61000 | − | 13.4846i | 0.252750 | − | 0.944111i | ||||
\(205\) | −13.0191 | − | 12.6595i | −0.909295 | − | 0.884181i | ||||
\(206\) | 26.7668 | − | 6.15660i | 1.86493 | − | 0.428951i | ||||
\(207\) | 7.07304 | + | 1.22016i | 0.491610 | + | 0.0848072i | ||||
\(208\) | −18.3444 | + | 5.19545i | −1.27196 | + | 0.360240i | ||||
\(209\) | 3.51678 | + | 4.84043i | 0.243261 | + | 0.334819i | ||||
\(210\) | 0.428641 | − | 0.138131i | 0.0295791 | − | 0.00953192i | ||||
\(211\) | −0.373295 | + | 0.513796i | −0.0256987 | + | 0.0353712i | −0.821673 | − | 0.569959i | \(-0.806959\pi\) |
0.795974 | + | 0.605330i | \(0.206959\pi\) | |||||||
\(212\) | −14.9070 | + | 2.07024i | −1.02381 | + | 0.142184i | ||||
\(213\) | 5.34481 | − | 3.22498i | 0.366220 | − | 0.220972i | ||||
\(214\) | −27.5175 | − | 2.43010i | −1.88106 | − | 0.166118i | ||||
\(215\) | 3.33856 | + | 19.3236i | 0.227688 | + | 1.31786i | ||||
\(216\) | 6.01951 | + | 13.4077i | 0.409576 | + | 0.912276i | ||||
\(217\) | 0.0779418 | − | 0.239880i | 0.00529103 | − | 0.0162841i | ||||
\(218\) | 1.86227 | − | 1.11690i | 0.126129 | − | 0.0756458i | ||||
\(219\) | −1.03008 | + | 2.43928i | −0.0696065 | + | 0.164831i | ||||
\(220\) | −10.0747 | − | 7.39821i | −0.679235 | − | 0.498787i | ||||
\(221\) | −18.2677 | + | 5.93553i | −1.22882 | + | 0.399267i | ||||
\(222\) | 15.4352 | + | 15.9505i | 1.03594 | + | 1.07053i | ||||
\(223\) | 5.21478 | − | 7.17752i | 0.349207 | − | 0.480643i | −0.597895 | − | 0.801574i | \(-0.703996\pi\) |
0.947102 | + | 0.320932i | \(0.103996\pi\) | |||||||
\(224\) | −0.198285 | + | 0.420734i | −0.0132485 | + | 0.0281115i | ||||
\(225\) | −10.4543 | + | 10.7567i | −0.696955 | + | 0.717115i | ||||
\(226\) | −11.4269 | − | 19.0528i | −0.760109 | − | 1.26737i | ||||
\(227\) | 7.25355 | + | 5.27002i | 0.481435 | + | 0.349783i | 0.801881 | − | 0.597484i | \(-0.203833\pi\) |
−0.320446 | + | 0.947267i | \(0.603833\pi\) | |||||||
\(228\) | −1.91772 | + | 7.16333i | −0.127004 | + | 0.474403i | ||||
\(229\) | 1.33779 | + | 4.11730i | 0.0884039 | + | 0.272079i | 0.985479 | − | 0.169800i | \(-0.0543121\pi\) |
−0.897075 | + | 0.441879i | \(0.854312\pi\) | |||||||
\(230\) | −6.46844 | − | 3.92429i | −0.426516 | − | 0.258760i | ||||
\(231\) | −0.366679 | − | 0.154845i | −0.0241257 | − | 0.0101880i | ||||
\(232\) | 10.1050 | − | 0.504781i | 0.663426 | − | 0.0331405i | ||||
\(233\) | −1.93299 | − | 0.628067i | −0.126635 | − | 0.0411461i | 0.245014 | − | 0.969520i | \(-0.421207\pi\) |
−0.371649 | + | 0.928373i | \(0.621207\pi\) | |||||||
\(234\) | 10.9649 | − | 16.9918i | 0.716800 | − | 1.11079i | ||||
\(235\) | 2.19559 | + | 4.16390i | 0.143224 | + | 0.271623i | ||||
\(236\) | −16.8185 | + | 8.16900i | −1.09479 | + | 0.531757i | ||||
\(237\) | −4.25046 | − | 7.04436i | −0.276097 | − | 0.457580i | ||||
\(238\) | −0.183439 | + | 0.431177i | −0.0118906 | + | 0.0279491i | ||||
\(239\) | 9.84559 | + | 7.15324i | 0.636858 | + | 0.462704i | 0.858769 | − | 0.512362i | \(-0.171230\pi\) |
−0.221911 | + | 0.975067i | \(0.571230\pi\) | |||||||
\(240\) | −0.735554 | − | 15.4745i | −0.0474798 | − | 0.998872i | ||||
\(241\) | −16.5433 | + | 12.0194i | −1.06565 | + | 0.774238i | −0.975125 | − | 0.221657i | \(-0.928854\pi\) |
−0.0905221 | + | 0.995894i | \(0.528854\pi\) | |||||||
\(242\) | −1.01073 | − | 4.39429i | −0.0649720 | − | 0.282476i | ||||
\(243\) | −14.1884 | − | 6.45682i | −0.910183 | − | 0.414205i | ||||
\(244\) | −4.17881 | − | 4.34144i | −0.267521 | − | 0.277932i | ||||
\(245\) | 15.4091 | − | 2.66224i | 0.984449 | − | 0.170084i | ||||
\(246\) | −14.2952 | + | 13.8334i | −0.911427 | + | 0.881983i | ||||
\(247\) | 9.70422 | − | 3.15309i | 0.617465 | − | 0.200626i | ||||
\(248\) | −7.26515 | − | 4.74337i | −0.461337 | − | 0.301204i | ||||
\(249\) | −16.5842 | − | 1.41998i | −1.05098 | − | 0.0899874i | ||||
\(250\) | 14.4037 | − | 6.52171i | 0.910971 | − | 0.412469i | ||||
\(251\) | 0.315067 | 0.0198868 | 0.00994342 | − | 0.999951i | \(-0.496835\pi\) | ||||
0.00994342 | + | 0.999951i | \(0.496835\pi\) | |||||||
\(252\) | −0.136964 | − | 0.473938i | −0.00862789 | − | 0.0298553i | ||||
\(253\) | 2.06636 | + | 6.35960i | 0.129911 | + | 0.399825i | ||||
\(254\) | −15.1734 | + | 17.4262i | −0.952062 | + | 1.09342i | ||||
\(255\) | −1.33540 | − | 15.5499i | −0.0836258 | − | 0.973773i | ||||
\(256\) | 12.1893 | + | 10.3644i | 0.761832 | + | 0.647774i | ||||
\(257\) | − | 3.29754i | − | 0.205695i | −0.994697 | − | 0.102847i | \(-0.967205\pi\) | ||
0.994697 | − | 0.102847i | \(-0.0327953\pi\) | |||||||
\(258\) | 21.2694 | − | 3.01171i | 1.32417 | − | 0.187501i | ||||
\(259\) | −0.437931 | − | 0.602760i | −0.0272117 | − | 0.0374537i | ||||
\(260\) | −17.3088 | + | 12.4417i | −1.07345 | + | 0.771599i | ||||
\(261\) | −7.69180 | + | 7.48316i | −0.476111 | + | 0.463196i | ||||
\(262\) | 8.45147 | − | 19.8653i | 0.522134 | − | 1.22729i | ||||
\(263\) | −3.85860 | + | 2.80344i | −0.237931 | + | 0.172867i | −0.700361 | − | 0.713789i | \(-0.746978\pi\) |
0.462430 | + | 0.886656i | \(0.346978\pi\) | |||||||
\(264\) | −8.43624 | + | 10.7847i | −0.519215 | + | 0.663750i | ||||
\(265\) | −14.8840 | + | 7.84822i | −0.914320 | + | 0.482112i | ||||
\(266\) | 0.0974473 | − | 0.229052i | 0.00597488 | − | 0.0140441i | ||||
\(267\) | −16.8748 | − | 7.12604i | −1.03272 | − | 0.436107i | ||||
\(268\) | 22.7125 | + | 12.1240i | 1.38739 | + | 0.740592i | ||||
\(269\) | −1.52190 | − | 0.494495i | −0.0927918 | − | 0.0301499i | 0.262253 | − | 0.964999i | \(-0.415534\pi\) |
−0.355045 | + | 0.934849i | \(0.615534\pi\) | |||||||
\(270\) | 11.4296 | + | 11.8052i | 0.695586 | + | 0.718443i | ||||
\(271\) | −18.1696 | + | 5.90365i | −1.10372 | + | 0.358621i | −0.803534 | − | 0.595259i | \(-0.797050\pi\) |
−0.300189 | + | 0.953880i | \(0.597050\pi\) | |||||||
\(272\) | 12.6695 | + | 9.96525i | 0.768200 | + | 0.604232i | ||||
\(273\) | −0.444389 | + | 0.513128i | −0.0268956 | + | 0.0310559i | ||||
\(274\) | 15.4410 | + | 25.7456i | 0.932822 | + | 1.55535i | ||||
\(275\) | −13.4064 | − | 3.94456i | −0.808436 | − | 0.237866i | ||||
\(276\) | −4.51237 | + | 6.95179i | −0.271612 | + | 0.418449i | ||||
\(277\) | 23.3083 | + | 16.9344i | 1.40046 | + | 1.01749i | 0.994625 | + | 0.103545i | \(0.0330187\pi\) |
0.405834 | + | 0.913947i | \(0.366981\pi\) | |||||||
\(278\) | 0.766193 | − | 0.879953i | 0.0459532 | − | 0.0527761i | ||||
\(279\) | 9.10846 | − | 1.31454i | 0.545309 | − | 0.0786997i | ||||
\(280\) | −0.0483775 | + | 0.517762i | −0.00289111 | + | 0.0309422i | ||||
\(281\) | 14.4037 | + | 4.68005i | 0.859253 | + | 0.279188i | 0.705316 | − | 0.708893i | \(-0.250805\pi\) |
0.153936 | + | 0.988081i | \(0.450805\pi\) | |||||||
\(282\) | 4.63237 | − | 2.26530i | 0.275853 | − | 0.134897i | ||||
\(283\) | −7.00016 | − | 2.27449i | −0.416116 | − | 0.135204i | 0.0934737 | − | 0.995622i | \(-0.470203\pi\) |
−0.509590 | + | 0.860417i | \(0.670203\pi\) | |||||||
\(284\) | 0.991523 | + | 7.13957i | 0.0588361 | + | 0.423656i | ||||
\(285\) | 0.709394 | + | 8.26048i | 0.0420209 | + | 0.489309i | ||||
\(286\) | 18.7671 | + | 1.65734i | 1.10972 | + | 0.0980007i | ||||
\(287\) | 0.540207 | − | 0.392483i | 0.0318874 | − | 0.0231676i | ||||
\(288\) | −16.9681 | + | 0.289823i | −0.999854 | + | 0.0170780i | ||||
\(289\) | −0.615764 | − | 0.447379i | −0.0362214 | − | 0.0263164i | ||||
\(290\) | 10.4314 | − | 4.37541i | 0.612550 | − | 0.256933i | ||||
\(291\) | −12.3129 | + | 7.42942i | −0.721795 | + | 0.435520i | ||||
\(292\) | −2.12031 | − | 2.20283i | −0.124082 | − | 0.128911i | ||||
\(293\) | 10.2253i | 0.597370i | 0.954352 | + | 0.298685i | \(0.0965480\pi\) | ||||
−0.954352 | + | 0.298685i | \(0.903452\pi\) | |||||||
\(294\) | −2.40160 | − | 16.9607i | −0.140064 | − | 0.989167i | ||||
\(295\) | −14.5732 | + | 14.9872i | −0.848487 | + | 0.872587i | ||||
\(296\) | −23.9498 | + | 9.12627i | −1.39205 | + | 0.530454i | ||||
\(297\) | −0.840660 | − | 14.4985i | −0.0487800 | − | 0.841290i | ||||
\(298\) | −0.329494 | + | 3.73107i | −0.0190871 | + | 0.216135i | ||||
\(299\) | 11.4039 | 0.659502 | ||||||||
\(300\) | −6.66099 | − | 15.9885i | −0.384572 | − | 0.923095i | ||||
\(301\) | −0.721071 | −0.0415618 | ||||||||
\(302\) | −1.86252 | + | 21.0904i | −0.107176 | + | 1.21362i | ||||
\(303\) | −20.3120 | + | 4.72904i | −1.16689 | + | 0.271676i | ||||
\(304\) | −6.73033 | − | 5.29377i | −0.386011 | − | 0.303619i | ||||
\(305\) | −6.04501 | − | 2.97422i | −0.346136 | − | 0.170303i | ||||
\(306\) | −17.0707 | + | 0.944101i | −0.975866 | + | 0.0539706i | ||||
\(307\) | − | 7.46889i | − | 0.426272i | −0.977023 | − | 0.213136i | \(-0.931632\pi\) | ||
0.977023 | − | 0.213136i | \(-0.0683677\pi\) | |||||||
\(308\) | 0.331136 | − | 0.318731i | 0.0188682 | − | 0.0181614i | ||||
\(309\) | −17.3785 | − | 28.8017i | −0.988628 | − | 1.63847i | ||||
\(310\) | −9.44261 | − | 2.22248i | −0.536304 | − | 0.126228i | ||||
\(311\) | −1.58882 | − | 1.15434i | −0.0900937 | − | 0.0654569i | 0.541827 | − | 0.840490i | \(-0.317733\pi\) |
−0.631920 | + | 0.775033i | \(0.717733\pi\) | |||||||
\(312\) | 13.0462 | + | 19.3666i | 0.738594 | + | 1.09642i | ||||
\(313\) | 7.60934 | − | 5.52851i | 0.430105 | − | 0.312490i | −0.351586 | − | 0.936156i | \(-0.614357\pi\) |
0.781691 | + | 0.623666i | \(0.214357\pi\) | |||||||
\(314\) | −9.13768 | − | 0.806956i | −0.515669 | − | 0.0455392i | ||||
\(315\) | −0.324313 | − | 0.446140i | −0.0182730 | − | 0.0251372i | ||||
\(316\) | 9.40982 | − | 1.30681i | 0.529344 | − | 0.0735138i | ||||
\(317\) | −15.7657 | − | 5.12259i | −0.885490 | − | 0.287713i | −0.169255 | − | 0.985572i | \(-0.554136\pi\) |
−0.716235 | + | 0.697859i | \(0.754136\pi\) | |||||||
\(318\) | 8.09743 | + | 16.5586i | 0.454081 | + | 0.928560i | ||||
\(319\) | −9.50845 | − | 3.08948i | −0.532371 | − | 0.172978i | ||||
\(320\) | 16.7581 | + | 6.25833i | 0.936805 | + | 0.349851i | ||||
\(321\) | 7.67185 | + | 32.9518i | 0.428201 | + | 1.83919i | ||||
\(322\) | 0.182686 | − | 0.209810i | 0.0101807 | − | 0.0116923i | ||||
\(323\) | −6.97896 | − | 5.07051i | −0.388320 | − | 0.282131i | ||||
\(324\) | 13.3068 | − | 12.1214i | 0.739266 | − | 0.673414i | ||||
\(325\) | −13.4630 | + | 19.6656i | −0.746793 | + | 1.09085i | ||||
\(326\) | −15.4638 | − | 25.7838i | −0.856462 | − | 1.42803i | ||||
\(327\) | −2.01042 | − | 1.74111i | −0.111177 | − | 0.0962834i | ||||
\(328\) | −8.17918 | − | 21.4644i | −0.451619 | − | 1.18517i | ||||
\(329\) | −0.164619 | + | 0.0534881i | −0.00907576 | + | 0.00294889i | ||||
\(330\) | −4.76571 | + | 14.5477i | −0.262344 | + | 0.800827i | ||||
\(331\) | 21.0227 | + | 6.83070i | 1.15551 | + | 0.375449i | 0.823218 | − | 0.567726i | \(-0.192177\pi\) |
0.332296 | + | 0.943175i | \(0.392177\pi\) | |||||||
\(332\) | 9.05086 | − | 16.9554i | 0.496731 | − | 0.930548i | ||||
\(333\) | 12.6733 | − | 24.0495i | 0.694492 | − | 1.31791i | ||||
\(334\) | −11.1486 | + | 26.2050i | −0.610024 | + | 1.43387i | ||||
\(335\) | 28.4906 | + | 4.10441i | 1.55661 | + | 0.224248i | ||||
\(336\) | 0.565306 | + | 0.0702207i | 0.0308399 | + | 0.00383085i | ||||
\(337\) | −17.9878 | + | 13.0689i | −0.979859 | + | 0.711909i | −0.957677 | − | 0.287845i | \(-0.907061\pi\) |
−0.0221815 | + | 0.999754i | \(0.507061\pi\) | |||||||
\(338\) | 5.38108 | − | 12.6483i | 0.292692 | − | 0.687978i | ||||
\(339\) | −17.8132 | + | 20.5686i | −0.967480 | + | 1.11713i | ||||
\(340\) | 17.1110 | + | 5.65602i | 0.927975 | + | 0.306741i | ||||
\(341\) | 5.03953 | + | 6.93631i | 0.272906 | + | 0.375622i | ||||
\(342\) | 9.06835 | − | 0.501528i | 0.490360 | − | 0.0271195i | ||||
\(343\) | 1.15055i | 0.0621239i | ||||||||
\(344\) | −6.47858 | + | 23.9438i | −0.349301 | + | 1.29096i | ||||
\(345\) | −2.09885 | + | 9.02529i | −0.112999 | + | 0.485905i | ||||
\(346\) | 4.07048 | − | 4.67485i | 0.218830 | − | 0.251321i | ||||
\(347\) | 0.624538 | + | 1.92213i | 0.0335270 | + | 0.103185i | 0.966420 | − | 0.256969i | \(-0.0827239\pi\) |
−0.932893 | + | 0.360155i | \(0.882724\pi\) | |||||||
\(348\) | −4.44326 | − | 11.5675i | −0.238184 | − | 0.620081i | ||||
\(349\) | −5.02428 | −0.268944 | −0.134472 | − | 0.990917i | \(-0.542934\pi\) | ||||
−0.134472 | + | 0.990917i | \(0.542934\pi\) | |||||||
\(350\) | 0.146138 | + | 0.562731i | 0.00781139 | + | 0.0300792i | ||||
\(351\) | −23.9588 | − | 6.27723i | −1.27882 | − | 0.335054i | ||||
\(352\) | −7.60861 | − | 13.8593i | −0.405540 | − | 0.738705i | ||||
\(353\) | −8.70024 | + | 2.82688i | −0.463067 | + | 0.150460i | −0.531253 | − | 0.847213i | \(-0.678279\pi\) |
0.0681864 | + | 0.997673i | \(0.478279\pi\) | |||||||
\(354\) | 15.9245 | + | 16.4561i | 0.846377 | + | 0.874633i | ||||
\(355\) | 3.75884 | + | 7.12860i | 0.199499 | + | 0.378347i | ||||
\(356\) | 15.2390 | − | 14.6682i | 0.807667 | − | 0.777412i | ||||
\(357\) | 0.571795 | + | 0.0489583i | 0.0302626 | + | 0.00259115i | ||||
\(358\) | −5.19220 | − | 22.5739i | −0.274416 | − | 1.19307i | ||||
\(359\) | −10.7840 | + | 7.83505i | −0.569159 | + | 0.413518i | −0.834800 | − | 0.550554i | \(-0.814417\pi\) |
0.265641 | + | 0.964072i | \(0.414417\pi\) | |||||||
\(360\) | −17.7283 | + | 6.76068i | −0.934364 | + | 0.356319i | ||||
\(361\) | −11.6639 | − | 8.47434i | −0.613891 | − | 0.446018i | ||||
\(362\) | −2.42238 | + | 5.69385i | −0.127317 | + | 0.299262i | ||||
\(363\) | −4.72836 | + | 2.85302i | −0.248174 | + | 0.149745i | ||||
\(364\) | −0.342454 | − | 0.705053i | −0.0179495 | − | 0.0369548i | ||||
\(365\) | −3.06722 | − | 1.50911i | −0.160546 | − | 0.0789903i | ||||
\(366\) | −3.45799 | + | 6.51982i | −0.180752 | + | 0.340797i | ||||
\(367\) | 24.7528 | + | 8.04268i | 1.29209 | + | 0.419824i | 0.872822 | − | 0.488040i | \(-0.162288\pi\) |
0.419265 | + | 0.907864i | \(0.362288\pi\) | |||||||
\(368\) | −5.32556 | − | 7.95132i | −0.277614 | − | 0.414491i | ||||
\(369\) | 21.5538 | + | 11.3581i | 1.12204 | + | 0.591279i | ||||
\(370\) | −21.7061 | + | 18.7069i | −1.12845 | + | 0.972523i | ||||
\(371\) | −0.191195 | − | 0.588439i | −0.00992637 | − | 0.0305502i | ||||
\(372\) | −2.74808 | + | 10.2650i | −0.142481 | + | 0.532217i | ||||
\(373\) | 8.12792 | + | 5.90528i | 0.420848 | + | 0.305764i | 0.777979 | − | 0.628291i | \(-0.216245\pi\) |
−0.357131 | + | 0.934054i | \(0.616245\pi\) | |||||||
\(374\) | −8.19243 | − | 13.6597i | −0.423621 | − | 0.706328i | ||||
\(375\) | −13.0860 | − | 14.2744i | −0.675757 | − | 0.737125i | ||||
\(376\) | 0.297069 | + | 5.94690i | 0.0153202 | + | 0.306688i | ||||
\(377\) | −10.0219 | + | 13.7940i | −0.516154 | + | 0.710426i | ||||
\(378\) | −0.499301 | + | 0.340239i | −0.0256813 | + | 0.0175000i | ||||
\(379\) | −19.9962 | + | 6.49717i | −1.02714 | + | 0.333737i | −0.773658 | − | 0.633604i | \(-0.781575\pi\) |
−0.253480 | + | 0.967341i | \(0.581575\pi\) | |||||||
\(380\) | −9.08977 | − | 3.00461i | −0.466296 | − | 0.154133i | ||||
\(381\) | 26.0702 | + | 11.0092i | 1.33562 | + | 0.564018i | ||||
\(382\) | 19.8589 | − | 11.9104i | 1.01607 | − | 0.609388i | ||||
\(383\) | 5.78085 | − | 17.7916i | 0.295387 | − | 0.909109i | −0.687704 | − | 0.725992i | \(-0.741381\pi\) |
0.983091 | − | 0.183118i | \(-0.0586189\pi\) | |||||||
\(384\) | 7.41082 | − | 18.1406i | 0.378182 | − | 0.925731i | ||||
\(385\) | 0.226853 | − | 0.461073i | 0.0115615 | − | 0.0234984i | ||||
\(386\) | 11.6621 | + | 1.02989i | 0.593584 | + | 0.0524199i | ||||
\(387\) | −11.6208 | − | 23.6039i | −0.590720 | − | 1.19985i | ||||
\(388\) | −2.28418 | − | 16.4475i | −0.115962 | − | 0.834996i | ||||
\(389\) | −11.8655 | + | 16.3314i | −0.601603 | + | 0.828036i | −0.995854 | − | 0.0909670i | \(-0.971004\pi\) |
0.394251 | + | 0.919003i | \(0.371004\pi\) | |||||||
\(390\) | 21.0840 | + | 15.3964i | 1.06763 | + | 0.779625i | ||||
\(391\) | −5.66695 | − | 7.79988i | −0.286590 | − | 0.394457i | ||||
\(392\) | 19.0933 | + | 5.16616i | 0.964357 | + | 0.260930i | ||||
\(393\) | −26.3439 | − | 2.25562i | −1.32887 | − | 0.113781i | ||||
\(394\) | 16.8183 | − | 3.86835i | 0.847292 | − | 0.194885i | ||||
\(395\) | 9.39535 | − | 4.95408i | 0.472732 | − | 0.249267i | ||||
\(396\) | 15.7701 | + | 5.70285i | 0.792478 | + | 0.286579i | ||||
\(397\) | −1.91674 | − | 5.89913i | −0.0961986 | − | 0.296069i | 0.891366 | − | 0.453285i | \(-0.149748\pi\) |
−0.987564 | + | 0.157216i | \(0.949748\pi\) | |||||||
\(398\) | 2.72682 | − | 30.8775i | 0.136683 | − | 1.54775i | ||||
\(399\) | −0.303751 | − | 0.0260078i | −0.0152066 | − | 0.00130202i | ||||
\(400\) | 19.9990 | + | 0.203313i | 0.999948 | + | 0.0101657i | ||||
\(401\) | − | 20.5073i | − | 1.02408i | −0.858960 | − | 0.512042i | \(-0.828889\pi\) | ||
0.858960 | − | 0.512042i | \(-0.171111\pi\) | |||||||
\(402\) | 5.44330 | − | 31.0587i | 0.271487 | − | 1.54907i | ||||
\(403\) | 13.9061 | − | 4.51837i | 0.692713 | − | 0.225076i | ||||
\(404\) | 4.22041 | − | 23.7088i | 0.209973 | − | 1.17956i | ||||
\(405\) | 9.37751 | − | 17.8062i | 0.465972 | − | 0.884799i | ||||
\(406\) | 0.0932364 | + | 0.405360i | 0.00462724 | + | 0.0201177i | ||||
\(407\) | 25.3262 | 1.25537 | ||||||||
\(408\) | 6.76308 | − | 18.5471i | 0.334823 | − | 0.918217i | ||||
\(409\) | 2.02333 | − | 1.47003i | 0.100047 | − | 0.0726885i | −0.536637 | − | 0.843813i | \(-0.680306\pi\) |
0.636684 | + | 0.771125i | \(0.280306\pi\) | |||||||
\(410\) | −16.7655 | − | 19.4535i | −0.827990 | − | 0.960742i | ||||
\(411\) | 24.0706 | − | 27.7939i | 1.18731 | − | 1.37097i | ||||
\(412\) | 38.4731 | − | 5.34304i | 1.89544 | − | 0.263233i | ||||
\(413\) | −0.451814 | − | 0.621868i | −0.0222323 | − | 0.0306001i | ||||
\(414\) | 9.81221 | + | 2.59881i | 0.482244 | + | 0.127725i | ||||
\(415\) | 3.06403 | − | 21.2689i | 0.150408 | − | 1.04405i | ||||
\(416\) | −26.4887 | + | 5.03683i | −1.29872 | + | 0.246951i | ||||
\(417\) | −1.31644 | − | 0.555919i | −0.0644662 | − | 0.0272235i | ||||
\(418\) | 4.35201 | + | 7.25637i | 0.212864 | + | 0.354921i | ||||
\(419\) | −4.74511 | + | 14.6040i | −0.231814 | + | 0.713450i | 0.765714 | + | 0.643181i | \(0.222386\pi\) |
−0.997528 | + | 0.0702689i | \(0.977614\pi\) | |||||||
\(420\) | 0.621024 | − | 0.141263i | 0.0303029 | − | 0.00689294i | ||||
\(421\) | 5.77668 | + | 17.7788i | 0.281538 | + | 0.866486i | 0.987415 | + | 0.158151i | \(0.0505533\pi\) |
−0.705877 | + | 0.708335i | \(0.749447\pi\) | |||||||
\(422\) | −0.589792 | + | 0.677361i | −0.0287106 | + | 0.0329734i | ||||
\(423\) | −4.40392 | − | 4.52671i | −0.214126 | − | 0.220096i | ||||
\(424\) | −21.2575 | + | 1.06189i | −1.03235 | + | 0.0515698i | ||||
\(425\) | 20.1408 | − | 0.564180i | 0.976974 | − | 0.0273668i | ||||
\(426\) | 7.93061 | − | 3.87820i | 0.384239 | − | 0.187899i | ||||
\(427\) | 0.145610 | − | 0.200416i | 0.00704658 | − | 0.00969879i | ||||
\(428\) | −38.4625 | − | 6.84670i | −1.85915 | − | 0.330948i | ||||
\(429\) | −5.23226 | − | 22.4734i | −0.252616 | − | 1.08502i | ||||
\(430\) | 2.29915 | + | 27.6371i | 0.110875 | + | 1.33278i | ||||
\(431\) | −3.05905 | + | 9.41480i | −0.147349 | + | 0.453495i | −0.997306 | − | 0.0733583i | \(-0.976628\pi\) |
0.849956 | + | 0.526853i | \(0.176628\pi\) | |||||||
\(432\) | 6.81187 | + | 19.6367i | 0.327736 | + | 0.944769i | ||||
\(433\) | −1.93188 | + | 5.94571i | −0.0928401 | + | 0.285733i | −0.986685 | − | 0.162644i | \(-0.947998\pi\) |
0.893845 | + | 0.448377i | \(0.147998\pi\) | |||||||
\(434\) | 0.139642 | − | 0.328230i | 0.00670301 | − | 0.0157555i | ||||
\(435\) | −9.07238 | − | 10.4703i | −0.434987 | − | 0.502014i | ||||
\(436\) | 2.76239 | − | 1.34173i | 0.132294 | − | 0.0642572i | ||||
\(437\) | 3.01042 | + | 4.14348i | 0.144008 | + | 0.198210i | ||||
\(438\) | −1.75457 | + | 3.30814i | −0.0838366 | + | 0.158069i | ||||
\(439\) | 12.2442 | − | 16.8527i | 0.584384 | − | 0.804335i | −0.409784 | − | 0.912183i | \(-0.634396\pi\) |
0.994167 | + | 0.107847i | \(0.0343958\pi\) | |||||||
\(440\) | −13.2721 | − | 11.6754i | −0.632724 | − | 0.556605i | ||||
\(441\) | −18.8222 | + | 9.26671i | −0.896297 | + | 0.441272i | ||||
\(442\) | −26.4727 | + | 6.08895i | −1.25918 | + | 0.289622i | ||||
\(443\) | 16.6148 | 0.789392 | 0.394696 | − | 0.918812i | \(-0.370850\pi\) | ||||
0.394696 | + | 0.918812i | \(0.370850\pi\) | |||||||
\(444\) | 19.7597 | + | 24.3901i | 0.937752 | + | 1.15751i | ||||
\(445\) | 10.4399 | − | 21.2188i | 0.494899 | − | 1.00587i | ||||
\(446\) | 8.23915 | − | 9.46245i | 0.390135 | − | 0.448060i | ||||
\(447\) | 4.46790 | − | 1.04022i | 0.211325 | − | 0.0492006i | ||||
\(448\) | −0.331672 | + | 0.568033i | −0.0156701 | + | 0.0268371i | ||||
\(449\) | 6.28383i | 0.296552i | 0.988946 | + | 0.148276i | \(0.0473725\pi\) | ||||
−0.988946 | + | 0.148276i | \(0.952628\pi\) | |||||||
\(450\) | −16.0655 | + | 13.8528i | −0.757336 | + | 0.653025i | ||||
\(451\) | 22.6979i | 1.06880i | ||||||||
\(452\) | −13.7272 | − | 28.2619i | −0.645673 | − | 1.32933i | ||||
\(453\) | 25.2555 | − | 5.87999i | 1.18661 | − | 0.276266i | ||||
\(454\) | 9.56268 | + | 8.32642i | 0.448799 | + | 0.390778i | ||||
\(455\) | −0.628280 | − | 0.610928i | −0.0294542 | − | 0.0286407i | ||||
\(456\) | −3.59271 | + | 9.85264i | −0.168244 | + | 0.461392i | ||||
\(457\) | 36.2884 | 1.69750 | 0.848750 | − | 0.528794i | \(-0.177355\pi\) | ||||
0.848750 | + | 0.528794i | \(0.177355\pi\) | |||||||
\(458\) | 1.37237 | + | 5.96660i | 0.0641268 | + | 0.278801i | ||||
\(459\) | 7.61246 | + | 19.5064i | 0.355319 | + | 0.910481i | ||||
\(460\) | −8.62408 | − | 6.33298i | −0.402100 | − | 0.295277i | ||||
\(461\) | −17.2404 | + | 23.7294i | −0.802965 | + | 1.10519i | 0.189406 | + | 0.981899i | \(0.439344\pi\) |
−0.992371 | + | 0.123288i | \(0.960656\pi\) | |||||||
\(462\) | −0.497288 | − | 0.263752i | −0.0231359 | − | 0.0122709i | ||||
\(463\) | 11.7805 | + | 16.2144i | 0.547485 | + | 0.753549i | 0.989668 | − | 0.143376i | \(-0.0457958\pi\) |
−0.442183 | + | 0.896925i | \(0.645796\pi\) | |||||||
\(464\) | 14.2980 | + | 0.546025i | 0.663769 | + | 0.0253486i | ||||
\(465\) | 1.01656 | + | 11.8372i | 0.0471418 | + | 0.548939i | ||||
\(466\) | −2.64493 | − | 1.12525i | −0.122524 | − | 0.0521264i | ||||
\(467\) | 4.60747 | − | 14.1803i | 0.213208 | − | 0.656188i | −0.786067 | − | 0.618141i | \(-0.787886\pi\) |
0.999276 | − | 0.0380475i | \(-0.0121138\pi\) | |||||||
\(468\) | 17.5605 | − | 22.5728i | 0.811735 | − | 1.04343i | ||||
\(469\) | −0.327075 | + | 1.00663i | −0.0151029 | + | 0.0464820i | ||||
\(470\) | 2.57498 | + | 6.13896i | 0.118775 | + | 0.283169i | ||||
\(471\) | 2.54757 | + | 10.9422i | 0.117386 | + | 0.504191i | ||||
\(472\) | −24.7091 | + | 9.41559i | −1.13733 | + | 0.433388i | ||||
\(473\) | 14.4072 | − | 19.8298i | 0.662444 | − | 0.911776i | ||||
\(474\) | −5.11139 | − | 10.4524i | −0.234774 | − | 0.480094i | ||||
\(475\) | −10.6993 | + | 0.299706i | −0.490917 | + | 0.0137514i | ||||
\(476\) | −0.312058 | + | 0.584592i | −0.0143031 | + | 0.0267947i | ||||
\(477\) | 16.1809 | − | 15.7420i | 0.740873 | − | 0.720777i | ||||
\(478\) | 12.9799 | + | 11.3018i | 0.593686 | + | 0.516934i | ||||
\(479\) | −0.851191 | − | 2.61970i | −0.0388919 | − | 0.119697i | 0.929726 | − | 0.368253i | \(-0.120044\pi\) |
−0.968618 | + | 0.248556i | \(0.920044\pi\) | |||||||
\(480\) | 0.888922 | − | 21.8909i | 0.0405736 | − | 0.999177i | ||||
\(481\) | 13.3469 | − | 41.0775i | 0.608566 | − | 1.87297i | ||||
\(482\) | −24.8003 | + | 14.8740i | −1.12962 | + | 0.677493i | ||||
\(483\) | −0.313883 | − | 0.132550i | −0.0142822 | − | 0.00603122i | ||||
\(484\) | −0.877164 | − | 6.31612i | −0.0398711 | − | 0.287096i | ||||
\(485\) | −8.65929 | − | 16.4222i | −0.393198 | − | 0.745695i | ||||
\(486\) | −19.1843 | − | 10.8610i | −0.870218 | − | 0.492667i | ||||
\(487\) | 14.5777 | + | 20.0645i | 0.660580 | + | 0.909211i | 0.999500 | − | 0.0316045i | \(-0.0100617\pi\) |
−0.338920 | + | 0.940815i | \(0.610062\pi\) | |||||||
\(488\) | −5.34671 | − | 6.63579i | −0.242034 | − | 0.300388i | ||||
\(489\) | −24.1062 | + | 27.8350i | −1.09012 | + | 1.25874i | ||||
\(490\) | 22.0384 | − | 1.83339i | 0.995595 | − | 0.0828241i | ||||
\(491\) | −12.2246 | + | 8.88168i | −0.551688 | + | 0.400825i | −0.828407 | − | 0.560126i | \(-0.810753\pi\) |
0.276720 | + | 0.960951i | \(0.410753\pi\) | |||||||
\(492\) | −21.8590 | + | 17.7091i | −0.985480 | + | 0.798386i | ||||
\(493\) | 14.4149 | 0.649213 | ||||||||
\(494\) | 14.0629 | − | 3.23459i | 0.632720 | − | 0.145531i | ||||
\(495\) | 18.7490 | − | 0.00476303i | 0.842703 | − | 0.000214082i | ||||
\(496\) | −9.64453 | − | 7.58596i | −0.433052 | − | 0.340619i | ||||
\(497\) | −0.281828 | + | 0.0915715i | −0.0126417 | + | 0.00410754i | ||||
\(498\) | −23.1860 | − | 4.06355i | −1.03899 | − | 0.182092i | ||||
\(499\) | 30.5698i | 1.36849i | 0.729251 | + | 0.684246i | \(0.239869\pi\) | ||||
−0.729251 | + | 0.684246i | \(0.760131\pi\) | |||||||
\(500\) | 21.1023 | − | 7.39543i | 0.943724 | − | 0.330734i | ||||
\(501\) | 34.7510 | + | 2.97546i | 1.55256 | + | 0.132934i | ||||
\(502\) | 0.443844 | + | 0.0391963i | 0.0198097 | + | 0.00174942i | ||||
\(503\) | 10.7048 | + | 32.9460i | 0.477303 | + | 1.46899i | 0.842826 | + | 0.538186i | \(0.180890\pi\) |
−0.365523 | + | 0.930802i | \(0.619110\pi\) | |||||||
\(504\) | −0.133984 | − | 0.684690i | −0.00596812 | − | 0.0304985i | ||||
\(505\) | −4.58377 | − | 26.5309i | −0.203975 | − | 1.18061i | ||||
\(506\) | 2.11977 | + | 9.21603i | 0.0942353 | + | 0.409703i | ||||
\(507\) | −16.7732 | − | 1.43616i | −0.744926 | − | 0.0637822i | ||||
\(508\) | −23.5431 | + | 22.6612i | −1.04456 | + | 1.00543i | ||||
\(509\) | 5.64708 | + | 7.77254i | 0.250303 | + | 0.344512i | 0.915617 | − | 0.402051i | \(-0.131703\pi\) |
−0.665315 | + | 0.746563i | \(0.731703\pi\) | |||||||
\(510\) | 0.0532911 | − | 22.0718i | 0.00235977 | − | 0.977355i | ||||
\(511\) | 0.0738822 | − | 0.101690i | 0.00326836 | − | 0.00449851i | ||||
\(512\) | 15.8821 | + | 16.1171i | 0.701895 | + | 0.712280i | ||||
\(513\) | −4.04392 | − | 10.3623i | −0.178543 | − | 0.457505i | ||||
\(514\) | 0.410234 | − | 4.64534i | 0.0180947 | − | 0.204897i | ||||
\(515\) | 38.4140 | − | 20.2553i | 1.69272 | − | 0.892557i | ||||
\(516\) | 30.3375 | − | 1.59664i | 1.33554 | − | 0.0702880i | ||||
\(517\) | 1.81819 | − | 5.59582i | 0.0799641 | − | 0.246104i | ||||
\(518\) | −0.541939 | − | 0.903607i | −0.0238114 | − | 0.0397022i | ||||
\(519\) | −6.99372 | − | 2.95338i | −0.306990 | − | 0.129639i | ||||
\(520\) | −25.9313 | + | 15.3736i | −1.13716 | + | 0.674178i | ||||
\(521\) | 6.92987 | − | 2.25165i | 0.303603 | − | 0.0986467i | −0.153254 | − | 0.988187i | \(-0.548975\pi\) |
0.456857 | + | 0.889540i | \(0.348975\pi\) | |||||||
\(522\) | −11.7666 | + | 9.58486i | −0.515012 | + | 0.419518i | ||||
\(523\) | −2.74254 | + | 3.77479i | −0.119923 | + | 0.165060i | −0.864758 | − | 0.502189i | \(-0.832528\pi\) |
0.744835 | + | 0.667249i | \(0.232528\pi\) | |||||||
\(524\) | 14.3772 | − | 26.9335i | 0.628072 | − | 1.17660i | ||||
\(525\) | 0.599137 | − | 0.384797i | 0.0261485 | − | 0.0167939i | ||||
\(526\) | −5.78449 | + | 3.46925i | −0.252216 | + | 0.151267i | ||||
\(527\) | −10.0008 | − | 7.26602i | −0.435643 | − | 0.316513i | ||||
\(528\) | −13.2261 | + | 14.1432i | −0.575591 | + | 0.615502i | ||||
\(529\) | −5.33856 | − | 16.4304i | −0.232111 | − | 0.714365i | ||||
\(530\) | −21.9440 | + | 9.20436i | −0.953186 | + | 0.399812i | ||||
\(531\) | 13.0751 | − | 24.8120i | 0.567409 | − | 1.07675i | ||||
\(532\) | 0.165772 | − | 0.310549i | 0.00718715 | − | 0.0134640i | ||||
\(533\) | 36.8146 | + | 11.9618i | 1.59462 | + | 0.518123i | ||||
\(534\) | −22.8855 | − | 12.1380i | −0.990351 | − | 0.525263i | ||||
\(535\) | −43.0407 | + | 7.43617i | −1.86081 | + | 0.321494i | ||||
\(536\) | 30.4875 | + | 19.9051i | 1.31686 | + | 0.859768i | ||||
\(537\) | −24.2900 | + | 14.6562i | −1.04819 | + | 0.632463i | ||||
\(538\) | −2.08243 | − | 0.885944i | −0.0897798 | − | 0.0381957i | ||||
\(539\) | −15.8127 | − | 11.4886i | −0.681103 | − | 0.494850i | ||||
\(540\) | 14.6327 | + | 18.0523i | 0.629689 | + | 0.776847i | ||||
\(541\) | −1.99675 | + | 1.45073i | −0.0858471 | + | 0.0623716i | −0.629881 | − | 0.776692i | \(-0.716896\pi\) |
0.544034 | + | 0.839063i | \(0.316896\pi\) | |||||||
\(542\) | −26.3305 | + | 6.05625i | −1.13099 | + | 0.260138i | ||||
\(543\) | 7.55074 | + | 0.646511i | 0.324033 | + | 0.0277445i | ||||
\(544\) | 16.6082 | + | 15.6145i | 0.712069 | + | 0.669467i | ||||
\(545\) | 2.39360 | − | 2.46159i | 0.102531 | − | 0.105443i | ||||
\(546\) | −0.689860 | + | 0.667574i | −0.0295233 | + | 0.0285695i | ||||
\(547\) | 16.6404 | − | 5.40680i | 0.711493 | − | 0.231178i | 0.0691620 | − | 0.997605i | \(-0.477967\pi\) |
0.642331 | + | 0.766427i | \(0.277967\pi\) | |||||||
\(548\) | 18.5492 | + | 38.1896i | 0.792384 | + | 1.63138i | ||||
\(549\) | 8.90717 | + | 1.53657i | 0.380149 | + | 0.0655791i | ||||
\(550\) | −18.3953 | − | 7.22467i | −0.784377 | − | 0.308061i | ||||
\(551\) | −7.65751 | −0.326221 | ||||||||
\(552\) | −7.22156 | + | 9.23184i | −0.307370 | + | 0.392933i | ||||
\(553\) | 0.120690 | + | 0.371444i | 0.00513224 | + | 0.0157954i | ||||
\(554\) | 30.7283 | + | 26.7558i | 1.30552 | + | 1.13674i | ||||
\(555\) | 30.0533 | + | 18.1233i | 1.27569 | + | 0.769291i | ||||
\(556\) | 1.18883 | − | 1.14430i | 0.0504177 | − | 0.0485291i | ||||
\(557\) | − | 30.9896i | − | 1.31307i | −0.754295 | − | 0.656535i | \(-0.772021\pi\) | ||
0.754295 | − | 0.656535i | \(-0.227979\pi\) | |||||||
\(558\) | 12.9949 | − | 0.718688i | 0.550118 | − | 0.0304245i | ||||
\(559\) | −24.5702 | − | 33.8179i | −1.03921 | − | 1.43035i | ||||
\(560\) | −0.132564 | + | 0.723369i | −0.00560184 | + | 0.0305679i | ||||
\(561\) | −12.7710 | + | 14.7464i | −0.539192 | + | 0.622596i | ||||
\(562\) | 19.7087 | + | 8.38484i | 0.831362 | + | 0.353693i | ||||
\(563\) | −3.93582 | + | 2.85954i | −0.165875 | + | 0.120515i | −0.667626 | − | 0.744497i | \(-0.732689\pi\) |
0.501751 | + | 0.865012i | \(0.332689\pi\) | |||||||
\(564\) | 6.80757 | − | 2.61491i | 0.286651 | − | 0.110107i | ||||
\(565\) | −25.1845 | − | 24.4889i | −1.05952 | − | 1.03025i | ||||
\(566\) | −9.57838 | − | 4.07501i | −0.402609 | − | 0.171285i | ||||
\(567\) | 0.586486 | + | 0.451254i | 0.0246301 | + | 0.0189509i | ||||
\(568\) | 0.508582 | + | 10.1811i | 0.0213396 | + | 0.427189i | ||||
\(569\) | −20.6253 | − | 6.70156i | −0.864656 | − | 0.280944i | −0.157084 | − | 0.987585i | \(-0.550209\pi\) |
−0.707572 | + | 0.706641i | \(0.750209\pi\) | |||||||
\(570\) | −0.0283095 | + | 11.7250i | −0.00118575 | + | 0.491108i | ||||
\(571\) | 0.104477 | − | 0.0339467i | 0.00437223 | − | 0.00142062i | −0.306830 | − | 0.951764i | \(-0.599268\pi\) |
0.311202 | + | 0.950344i | \(0.399268\pi\) | |||||||
\(572\) | 26.2317 | + | 4.66950i | 1.09680 | + | 0.195242i | ||||
\(573\) | −21.4388 | − | 18.5668i | −0.895618 | − | 0.775641i | ||||
\(574\) | 0.809834 | − | 0.485698i | 0.0338018 | − | 0.0202727i | ||||
\(575\) | −11.4761 | − | 3.37661i | −0.478585 | − | 0.140814i | ||||
\(576\) | −23.9395 | − | 1.70265i | −0.997480 | − | 0.0709439i | ||||
\(577\) | 10.6652 | + | 7.74875i | 0.444000 | + | 0.322585i | 0.787222 | − | 0.616669i | \(-0.211518\pi\) |
−0.343222 | + | 0.939254i | \(0.611518\pi\) | |||||||
\(578\) | −0.811789 | − | 0.706841i | −0.0337660 | − | 0.0294007i | ||||
\(579\) | −3.25137 | − | 13.9652i | −0.135122 | − | 0.580372i | ||||
\(580\) | 15.2393 | − | 4.86605i | 0.632777 | − | 0.202052i | ||||
\(581\) | 0.751475 | + | 0.244169i | 0.0311764 | + | 0.0101298i | ||||
\(582\) | −18.2698 | + | 8.93425i | −0.757309 | + | 0.370337i | ||||
\(583\) | 20.0025 | + | 6.49921i | 0.828420 | + | 0.269170i | ||||
\(584\) | −2.71290 | − | 3.36698i | −0.112261 | − | 0.139326i | ||||
\(585\) | 9.87297 | − | 30.4122i | 0.408197 | − | 1.25739i | ||||
\(586\) | −1.27209 | + | 14.4047i | −0.0525497 | + | 0.595054i | ||||
\(587\) | 6.42275 | − | 4.66640i | 0.265095 | − | 0.192603i | −0.447295 | − | 0.894386i | \(-0.647613\pi\) |
0.712390 | + | 0.701783i | \(0.247613\pi\) | |||||||
\(588\) | −1.27319 | − | 24.1918i | −0.0525056 | − | 0.997654i | ||||
\(589\) | 5.31267 | + | 3.85988i | 0.218905 | + | 0.159044i | ||||
\(590\) | −22.3943 | + | 19.2999i | −0.921958 | + | 0.794564i | ||||
\(591\) | −10.9194 | − | 18.0968i | −0.449162 | − | 0.744404i | ||||
\(592\) | −34.8742 | + | 9.87696i | −1.43332 | + | 0.405940i | ||||
\(593\) | 23.1318i | 0.949910i | 0.880010 | + | 0.474955i | \(0.157536\pi\) | ||||
−0.880010 | + | 0.474955i | \(0.842464\pi\) | |||||||
\(594\) | 0.619445 | − | 20.5291i | 0.0254161 | − | 0.842320i | ||||
\(595\) | −0.105643 | + | 0.733314i | −0.00433092 | + | 0.0300630i | ||||
\(596\) | −0.928338 | + | 5.21509i | −0.0380262 | + | 0.213618i | ||||
\(597\) | −36.9753 | + | 8.60860i | −1.51330 | + | 0.352326i | ||||
\(598\) | 16.0650 | + | 1.41871i | 0.656945 | + | 0.0580154i | ||||
\(599\) | −13.8053 | −0.564071 | −0.282035 | − | 0.959404i | \(-0.591010\pi\) | ||||
−0.282035 | + | 0.959404i | \(0.591010\pi\) | |||||||
\(600\) | −7.39447 | − | 23.3521i | −0.301878 | − | 0.953347i | ||||
\(601\) | 29.5640 | 1.20594 | 0.602970 | − | 0.797764i | \(-0.293984\pi\) | ||||
0.602970 | + | 0.797764i | \(0.293984\pi\) | |||||||
\(602\) | −1.01579 | − | 0.0897057i | −0.0414007 | − | 0.00365613i | ||||
\(603\) | −38.2228 | + | 5.51635i | −1.55655 | + | 0.224643i | ||||
\(604\) | −5.24757 | + | 29.4790i | −0.213520 | + | 1.19949i | ||||
\(605\) | −3.32531 | − | 6.30641i | −0.135193 | − | 0.256392i | ||||
\(606\) | −29.2024 | + | 4.13501i | −1.18627 | + | 0.167973i | ||||
\(607\) | 36.6312i | 1.48682i | 0.668838 | + | 0.743408i | \(0.266792\pi\) | ||||
−0.668838 | + | 0.743408i | \(0.733208\pi\) | |||||||
\(608\) | −8.82264 | − | 8.29480i | −0.357805 | − | 0.336398i | ||||
\(609\) | 0.436176 | − | 0.263182i | 0.0176748 | − | 0.0106647i | ||||
\(610\) | −8.14578 | − | 4.94191i | −0.329813 | − | 0.200092i | ||||
\(611\) | −8.11790 | − | 5.89800i | −0.328415 | − | 0.238607i | ||||
\(612\) | −24.1655 | − | 0.793717i | −0.976831 | − | 0.0320841i | ||||
\(613\) | −15.4549 | + | 11.2286i | −0.624217 | + | 0.453520i | −0.854392 | − | 0.519629i | \(-0.826070\pi\) |
0.230175 | + | 0.973149i | \(0.426070\pi\) | |||||||
\(614\) | 0.929177 | − | 10.5217i | 0.0374985 | − | 0.424619i | ||||
\(615\) | −16.2425 | + | 26.9345i | −0.654961 | + | 1.08610i | ||||
\(616\) | 0.506133 | − | 0.407811i | 0.0203927 | − | 0.0164312i | ||||
\(617\) | −19.8963 | − | 6.46469i | −0.800994 | − | 0.260259i | −0.120215 | − | 0.992748i | \(-0.538358\pi\) |
−0.680779 | + | 0.732489i | \(0.738358\pi\) | |||||||
\(618\) | −20.8985 | − | 42.7358i | −0.840661 | − | 1.71909i | ||||
\(619\) | 24.5117 | + | 7.96433i | 0.985208 | + | 0.320114i | 0.756940 | − | 0.653485i | \(-0.226694\pi\) |
0.228269 | + | 0.973598i | \(0.426694\pi\) | |||||||
\(620\) | −13.0256 | − | 4.30560i | −0.523121 | − | 0.172917i | ||||
\(621\) | −0.719618 | − | 12.4110i | −0.0288773 | − | 0.498035i | ||||
\(622\) | −2.09461 | − | 1.82382i | −0.0839863 | − | 0.0731285i | ||||
\(623\) | 0.703486 | + | 0.511112i | 0.0281846 | + | 0.0204773i | ||||
\(624\) | 15.9692 | + | 28.9053i | 0.639280 | + | 1.15714i | ||||
\(625\) | 19.3711 | − | 15.8038i | 0.774844 | − | 0.632152i | ||||
\(626\) | 11.4073 | − | 6.84153i | 0.455927 | − | 0.273443i | ||||
\(627\) | 6.78426 | − | 7.83366i | 0.270937 | − | 0.312846i | ||||
\(628\) | −12.7721 | − | 2.27357i | −0.509664 | − | 0.0907253i | ||||
\(629\) | −34.7283 | + | 11.2839i | −1.38471 | + | 0.449919i | ||||
\(630\) | −0.401367 | − | 0.668838i | −0.0159909 | − | 0.0266471i | ||||
\(631\) | 9.50638 | + | 3.08881i | 0.378443 | + | 0.122964i | 0.492061 | − | 0.870561i | \(-0.336244\pi\) |
−0.113617 | + | 0.993525i | \(0.536244\pi\) | |||||||
\(632\) | 13.4185 | − | 0.670302i | 0.533759 | − | 0.0266632i | ||||
\(633\) | 1.01335 | + | 0.427929i | 0.0402772 | + | 0.0170087i | ||||
\(634\) | −21.5724 | − | 9.17770i | −0.856748 | − | 0.364493i | ||||
\(635\) | −16.1289 | + | 32.7814i | −0.640054 | + | 1.30089i | ||||
\(636\) | 9.34710 | + | 24.3340i | 0.370637 | + | 0.964905i | ||||
\(637\) | −26.9672 | + | 19.5928i | −1.06848 | + | 0.776294i | ||||
\(638\) | −13.0105 | − | 5.53516i | −0.515091 | − | 0.219139i | ||||
\(639\) | −7.53951 | − | 7.74972i | −0.298258 | − | 0.306574i | ||||
\(640\) | 22.8291 | + | 10.9011i | 0.902398 | + | 0.430904i | ||||
\(641\) | 18.6448 | + | 25.6623i | 0.736424 | + | 1.01360i | 0.998816 | + | 0.0486391i | \(0.0154884\pi\) |
−0.262393 | + | 0.964961i | \(0.584512\pi\) | |||||||
\(642\) | 6.70816 | + | 47.3747i | 0.264750 | + | 1.86973i | ||||
\(643\) | − | 7.49503i | − | 0.295575i | −0.989019 | − | 0.147788i | \(-0.952785\pi\) | ||
0.989019 | − | 0.147788i | \(-0.0472152\pi\) | |||||||
\(644\) | 0.283457 | − | 0.272839i | 0.0111698 | − | 0.0107514i | ||||
\(645\) | 31.2864 | − | 13.2213i | 1.23190 | − | 0.520589i | ||||
\(646\) | −9.20068 | − | 8.01121i | −0.361996 | − | 0.315197i | ||||
\(647\) | −6.63326 | − | 20.4151i | −0.260780 | − | 0.802600i | −0.992636 | − | 0.121139i | \(-0.961345\pi\) |
0.731855 | − | 0.681460i | \(-0.238655\pi\) | |||||||
\(648\) | 20.2537 | − | 15.4204i | 0.795639 | − | 0.605771i | ||||
\(649\) | 26.1291 | 1.02566 | ||||||||
\(650\) | −21.4123 | + | 26.0286i | −0.839858 | + | 1.02093i | ||||
\(651\) | −0.435274 | − | 0.0372691i | −0.0170597 | − | 0.00146069i | ||||
\(652\) | −18.5767 | − | 38.2462i | −0.727520 | − | 1.49784i | ||||
\(653\) | −13.4876 | + | 4.38240i | −0.527812 | + | 0.171496i | −0.560788 | − | 0.827960i | \(-0.689502\pi\) |
0.0329758 | + | 0.999456i | \(0.489502\pi\) | |||||||
\(654\) | −2.61554 | − | 2.70286i | −0.102276 | − | 0.105690i | ||||
\(655\) | 4.86720 | − | 33.7855i | 0.190177 | − | 1.32011i | ||||
\(656\) | −8.85196 | − | 31.2551i | −0.345611 | − | 1.22031i | ||||
\(657\) | 4.51946 | + | 0.779649i | 0.176321 | + | 0.0304170i | ||||
\(658\) | −0.238559 | + | 0.0548706i | −0.00929998 | + | 0.00213908i | ||||
\(659\) | 27.7018 | − | 20.1265i | 1.07911 | − | 0.784017i | 0.101580 | − | 0.994827i | \(-0.467610\pi\) |
0.977527 | + | 0.210810i | \(0.0676101\pi\) | |||||||
\(660\) | −8.52344 | + | 19.9010i | −0.331774 | + | 0.774645i | ||||
\(661\) | −25.8902 | − | 18.8103i | −1.00701 | − | 0.731636i | −0.0434305 | − | 0.999056i | \(-0.513829\pi\) |
−0.963580 | + | 0.267421i | \(0.913829\pi\) | |||||||
\(662\) | 28.7656 | + | 12.2380i | 1.11801 | + | 0.475643i | ||||
\(663\) | 17.1875 | + | 28.4852i | 0.667508 | + | 1.10627i | ||||
\(664\) | 14.8596 | − | 22.7596i | 0.576664 | − | 0.883244i | ||||
\(665\) | 0.0561198 | − | 0.389554i | 0.00217623 | − | 0.0151062i | ||||
\(666\) | 20.8452 | − | 32.3027i | 0.807734 | − | 1.25170i | ||||
\(667\) | −8.13938 | − | 2.64465i | −0.315158 | − | 0.102401i | ||||
\(668\) | −18.9654 | + | 35.5288i | −0.733795 | + | 1.37465i | ||||
\(669\) | −14.1561 | − | 5.97799i | −0.547307 | − | 0.231123i | ||||
\(670\) | 39.6250 | + | 9.32642i | 1.53085 | + | 0.360311i | ||||
\(671\) | 2.60219 | + | 8.00872i | 0.100457 | + | 0.309173i | ||||
\(672\) | 0.787628 | + | 0.169250i | 0.0303834 | + | 0.00652895i | ||||
\(673\) | 4.52179 | + | 3.28527i | 0.174302 | + | 0.126638i | 0.671516 | − | 0.740990i | \(-0.265644\pi\) |
−0.497214 | + | 0.867628i | \(0.665644\pi\) | |||||||
\(674\) | −26.9658 | + | 16.1728i | −1.03869 | + | 0.622952i | ||||
\(675\) | 22.2518 | + | 13.4110i | 0.856474 | + | 0.516190i | ||||
\(676\) | 9.15403 | − | 17.1487i | 0.352078 | − | 0.659564i | ||||
\(677\) | −6.37681 | + | 8.77693i | −0.245081 | + | 0.337325i | −0.913781 | − | 0.406207i | \(-0.866851\pi\) |
0.668700 | + | 0.743532i | \(0.266851\pi\) | |||||||
\(678\) | −27.6529 | + | 26.7595i | −1.06200 | + | 1.02769i | ||||
\(679\) | 0.649251 | − | 0.210954i | 0.0249160 | − | 0.00809569i | ||||
\(680\) | 23.4012 | + | 10.0965i | 0.897394 | + | 0.387184i | ||||
\(681\) | 6.04132 | − | 14.3061i | 0.231504 | − | 0.548210i | ||||
\(682\) | 6.23642 | + | 10.3983i | 0.238805 | + | 0.398173i | ||||
\(683\) | −13.1133 | + | 40.3586i | −0.501766 | + | 1.54428i | 0.304374 | + | 0.952553i | \(0.401553\pi\) |
−0.806140 | + | 0.591725i | \(0.798447\pi\) | |||||||
\(684\) | 12.8373 | + | 0.421641i | 0.490845 | + | 0.0161219i | ||||
\(685\) | 34.0312 | + | 33.0912i | 1.30026 | + | 1.26435i | ||||
\(686\) | −0.143136 | + | 1.62082i | −0.00546495 | + | 0.0618831i | ||||
\(687\) | 6.42020 | − | 3.87385i | 0.244946 | − | 0.147797i | ||||
\(688\) | −12.1053 | + | 32.9244i | −0.461511 | + | 1.25523i | ||||
\(689\) | 21.0827 | − | 29.0178i | 0.803185 | − | 1.10549i | ||||
\(690\) | −4.07952 | + | 12.4531i | −0.155305 | + | 0.474081i | ||||
\(691\) | −10.2098 | − | 14.0525i | −0.388398 | − | 0.534584i | 0.569387 | − | 0.822070i | \(-0.307181\pi\) |
−0.957785 | + | 0.287486i | \(0.907181\pi\) | |||||||
\(692\) | 6.31579 | − | 6.07921i | 0.240090 | − | 0.231097i | ||||
\(693\) | −0.117199 | + | 0.679379i | −0.00445202 | + | 0.0258075i | ||||
\(694\) | 0.640681 | + | 2.78546i | 0.0243199 | + | 0.105735i | ||||
\(695\) | 0.814441 | − | 1.65533i | 0.0308935 | − | 0.0627902i | ||||
\(696\) | −4.82030 | − | 16.8482i | −0.182713 | − | 0.638630i | ||||
\(697\) | −10.1129 | − | 31.1243i | −0.383053 | − | 1.17892i | ||||
\(698\) | −7.07786 | − | 0.625052i | −0.267901 | − | 0.0236586i | ||||
\(699\) | −0.300320 | + | 3.50750i | −0.0113592 | + | 0.132666i | ||||
\(700\) | 0.135862 | + | 0.810917i | 0.00513508 | + | 0.0306498i | ||||
\(701\) | 42.2125i | 1.59435i | 0.603751 | + | 0.797173i | \(0.293672\pi\) | ||||
−0.603751 | + | 0.797173i | \(0.706328\pi\) | |||||||
\(702\) | −32.9705 | − | 11.8235i | −1.24439 | − | 0.446251i | ||||
\(703\) | 18.4485 | − | 5.99427i | 0.695797 | − | 0.226078i | ||||
\(704\) | −8.99430 | − | 20.4706i | −0.338985 | − | 0.771516i | ||||
\(705\) | 6.16190 | − | 5.33919i | 0.232071 | − | 0.201086i | ||||
\(706\) | −12.6080 | + | 2.89995i | −0.474507 | + | 0.109141i | ||||
\(707\) | 0.990015 | 0.0372333 | ||||||||
\(708\) | 20.3861 | + | 25.1634i | 0.766156 | + | 0.945697i | ||||
\(709\) | −14.8691 | + | 10.8030i | −0.558420 | + | 0.405716i | −0.830880 | − | 0.556451i | \(-0.812163\pi\) |
0.272460 | + | 0.962167i | \(0.412163\pi\) | |||||||
\(710\) | 4.40836 | + | 10.5099i | 0.165443 | + | 0.394429i | ||||
\(711\) | −10.2140 | + | 9.93693i | −0.383054 | + | 0.372664i | ||||
\(712\) | 23.2925 | − | 18.7677i | 0.872924 | − | 0.703349i | ||||
\(713\) | 4.31391 | + | 5.93759i | 0.161557 | + | 0.222365i | ||||
\(714\) | 0.799414 | + | 0.140104i | 0.0299173 | + | 0.00524326i | ||||
\(715\) | 29.3541 | − | 5.07152i | 1.09778 | − | 0.189664i | ||||
\(716\) | −4.50608 | − | 32.4465i | −0.168400 | − | 1.21258i | ||||
\(717\) | 8.20016 | − | 19.4183i | 0.306241 | − | 0.725190i | ||||
\(718\) | −16.1665 | + | 9.69588i | −0.603329 | + | 0.361847i | ||||
\(719\) | 14.8203 | − | 45.6122i | 0.552704 | − | 1.70105i | −0.149227 | − | 0.988803i | \(-0.547678\pi\) |
0.701931 | − | 0.712245i | \(-0.252322\pi\) | |||||||
\(720\) | −25.8155 | + | 7.31846i | −0.962087 | + | 0.272743i | ||||
\(721\) | 0.493453 | + | 1.51869i | 0.0183771 | + | 0.0565590i | ||||
\(722\) | −15.3771 | − | 13.3891i | −0.572276 | − | 0.498292i | ||||
\(723\) | 26.7734 | + | 23.1868i | 0.995712 | + | 0.862326i | ||||
\(724\) | −4.12083 | + | 7.71974i | −0.153149 | + | 0.286902i | ||||
\(725\) | 14.1697 | − | 10.9139i | 0.526249 | − | 0.405332i | ||||
\(726\) | −7.01591 | + | 3.43090i | −0.260385 | + | 0.127333i | ||||
\(727\) | −8.35057 | + | 11.4936i | −0.309705 | + | 0.426273i | −0.935289 | − | 0.353884i | \(-0.884861\pi\) |
0.625584 | + | 0.780157i | \(0.284861\pi\) | |||||||
\(728\) | −0.394713 | − | 1.03583i | −0.0146290 | − | 0.0383906i | ||||
\(729\) | −5.31972 | + | 26.4707i | −0.197027 | + | 0.980398i | ||||
\(730\) | −4.13314 | − | 2.50751i | −0.152974 | − | 0.0928070i | ||||
\(731\) | −10.9207 | + | 33.6105i | −0.403917 | + | 1.24313i | ||||
\(732\) | −5.68248 | + | 8.75448i | −0.210030 | + | 0.323575i | ||||
\(733\) | −11.8497 | + | 36.4697i | −0.437680 | + | 1.34704i | 0.452636 | + | 0.891695i | \(0.350484\pi\) |
−0.890316 | + | 0.455344i | \(0.849516\pi\) | |||||||
\(734\) | 33.8695 | + | 14.4094i | 1.25015 | + | 0.531860i | ||||
\(735\) | −10.5430 | − | 24.9485i | −0.388883 | − | 0.920239i | ||||
\(736\) | −6.51309 | − | 11.8638i | −0.240076 | − | 0.437306i | ||||
\(737\) | −21.1479 | − | 29.1076i | −0.778992 | − | 1.07219i | ||||
\(738\) | 28.9504 | + | 18.6819i | 1.06568 | + | 0.687691i | ||||
\(739\) | 9.88757 | − | 13.6091i | 0.363720 | − | 0.500618i | −0.587461 | − | 0.809253i | \(-0.699872\pi\) |
0.951180 | + | 0.308635i | \(0.0998722\pi\) | |||||||
\(740\) | −32.9054 | + | 23.6525i | −1.20963 | + | 0.869485i | ||||
\(741\) | −9.13041 | − | 15.1320i | −0.335414 | − | 0.555888i | ||||
\(742\) | −0.196137 | − | 0.852738i | −0.00720043 | − | 0.0313050i | ||||
\(743\) | −24.3161 | −0.892071 | −0.446035 | − | 0.895015i | \(-0.647164\pi\) | ||||
−0.446035 | + | 0.895015i | \(0.647164\pi\) | |||||||
\(744\) | −5.14834 | + | 14.1188i | −0.188747 | + | 0.517620i | ||||
\(745\) | 1.00826 | + | 5.83584i | 0.0369399 | + | 0.213809i | ||||
\(746\) | 10.7154 | + | 9.33011i | 0.392319 | + | 0.341600i | ||||
\(747\) | 4.11808 | + | 28.5342i | 0.150673 | + | 1.04401i | ||||
\(748\) | −9.84158 | − | 20.2621i | −0.359844 | − | 0.740855i | ||||
\(749\) | − | 1.60609i | − | 0.0586851i | ||||||
\(750\) | −16.6588 | − | 21.7367i | −0.608293 | − | 0.793712i | ||||
\(751\) | 20.5712i | 0.750654i | 0.926892 | + | 0.375327i | \(0.122470\pi\) | ||||
−0.926892 | + | 0.375327i | \(0.877530\pi\) | |||||||
\(752\) | −0.321341 | + | 8.41454i | −0.0117181 | + | 0.306847i | ||||
\(753\) | −0.123743 | − | 0.531497i | −0.00450945 | − | 0.0193688i | ||||
\(754\) | −15.8342 | + | 18.1852i | −0.576649 | + | 0.662266i | ||||
\(755\) | 5.69936 | + | 32.9880i | 0.207421 | + | 1.20055i | ||||
\(756\) | −0.745709 | + | 0.417189i | −0.0271212 | + | 0.0151730i | ||||
\(757\) | −51.6491 | −1.87722 | −0.938608 | − | 0.344984i | \(-0.887884\pi\) | ||||
−0.938608 | + | 0.344984i | \(0.887884\pi\) | |||||||
\(758\) | −28.9776 | + | 6.66511i | −1.05251 | + | 0.242088i | ||||
\(759\) | 9.91666 | − | 5.98356i | 0.359952 | − | 0.217189i | ||||
\(760\) | −12.4313 | − | 5.36351i | −0.450929 | − | 0.194555i | ||||
\(761\) | 16.1791 | − | 22.2686i | 0.586492 | − | 0.807237i | −0.407897 | − | 0.913028i | \(-0.633738\pi\) |
0.994388 | + | 0.105792i | \(0.0337376\pi\) | |||||||
\(762\) | 35.3563 | + | 18.7523i | 1.28082 | + | 0.679323i | ||||
\(763\) | 0.0742088 | + | 0.102140i | 0.00268654 | + | 0.00369770i | ||||
\(764\) | 29.4576 | − | 14.3080i | 1.06574 | − | 0.517644i | ||||
\(765\) | −25.7072 | + | 8.35999i | −0.929446 | + | 0.302256i | ||||
\(766\) | 10.3570 | − | 24.3444i | 0.374215 | − | 0.879600i | ||||
\(767\) | 13.7700 | − | 42.3798i | 0.497207 | − | 1.53024i | ||||
\(768\) | 12.6966 | − | 24.6332i | 0.458151 | − | 0.888874i | ||||
\(769\) | −5.61828 | + | 17.2913i | −0.202601 | + | 0.623540i | 0.797203 | + | 0.603712i | \(0.206312\pi\) |
−0.999803 | + | 0.0198288i | \(0.993688\pi\) | |||||||
\(770\) | 0.376936 | − | 0.621306i | 0.0135838 | − | 0.0223903i | ||||
\(771\) | −5.56272 | + | 1.29512i | −0.200337 | + | 0.0466424i | ||||
\(772\) | 16.3006 | + | 2.90167i | 0.586671 | + | 0.104433i | ||||
\(773\) | 12.7699 | − | 17.5762i | 0.459300 | − | 0.632172i | −0.515064 | − | 0.857152i | \(-0.672232\pi\) |
0.974363 | + | 0.224980i | \(0.0722318\pi\) | |||||||
\(774\) | −13.4342 | − | 34.6972i | −0.482881 | − | 1.24717i | ||||
\(775\) | −15.3320 | + | 0.429477i | −0.550743 | + | 0.0154273i | ||||
\(776\) | −1.17163 | − | 23.4543i | −0.0420589 | − | 0.841960i | ||||
\(777\) | −0.844817 | + | 0.975495i | −0.0303077 | + | 0.0349957i | ||||
\(778\) | −18.7470 | + | 21.5304i | −0.672112 | + | 0.771904i | ||||
\(779\) | 5.37220 | + | 16.5339i | 0.192479 | + | 0.592390i | ||||
\(780\) | 27.7863 | + | 24.3123i | 0.994910 | + | 0.870520i | ||||
\(781\) | 3.11275 | − | 9.58005i | 0.111383 | − | 0.342801i | ||||
\(782\) | −7.01285 | − | 11.6929i | −0.250779 | − | 0.418139i | ||||
\(783\) | 15.6446 | + | 10.0365i | 0.559092 | + | 0.358676i | ||||
\(784\) | 26.2546 | + | 9.65305i | 0.937665 | + | 0.344752i | ||||
\(785\) | −14.2924 | + | 2.46931i | −0.510118 | + | 0.0881335i | ||||
\(786\) | −36.8309 | − | 6.45491i | −1.31371 | − | 0.230239i | ||||
\(787\) | −26.7095 | − | 36.7625i | −0.952093 | − | 1.31044i | −0.950592 | − | 0.310444i | \(-0.899522\pi\) |
−0.00150096 | − | 0.999999i | \(-0.500478\pi\) | |||||||
\(788\) | 24.1737 | − | 3.35717i | 0.861151 | − | 0.119594i | ||||
\(789\) | 6.24468 | + | 5.40814i | 0.222317 | + | 0.192535i | ||||
\(790\) | 13.8518 | − | 5.81013i | 0.492827 | − | 0.206715i | ||||
\(791\) | 1.04499 | − | 0.759228i | 0.0371555 | − | 0.0269950i | ||||
\(792\) | 21.5064 | + | 9.99568i | 0.764196 | + | 0.355181i | ||||
\(793\) | 14.3610 | 0.509975 | ||||||||
\(794\) | −1.96629 | − | 8.54874i | −0.0697809 | − | 0.303384i | ||||
\(795\) | 19.0852 | + | 22.0260i | 0.676881 | + | 0.781182i | ||||
\(796\) | 7.68270 | − | 43.1588i | 0.272306 | − | 1.52972i | ||||
\(797\) | 11.5618 | − | 3.75666i | 0.409540 | − | 0.133068i | −0.0969992 | − | 0.995284i | \(-0.530924\pi\) |
0.506539 | + | 0.862217i | \(0.330924\pi\) | |||||||
\(798\) | −0.424668 | − | 0.0744265i | −0.0150331 | − | 0.00263467i | ||||
\(799\) | 8.48330i | 0.300118i | ||||||||
\(800\) | 28.1479 | + | 2.77441i | 0.995178 | + | 0.0980902i | ||||
\(801\) | −5.39356 | + | 31.2654i | −0.190572 | + | 1.10471i | ||||
\(802\) | 2.55123 | − | 28.8892i | 0.0900872 | − | 1.02011i | ||||
\(803\) | 1.32034 | + | 4.06360i | 0.0465939 | + | 0.143401i | ||||
\(804\) | 11.5320 | − | 43.0762i | 0.406704 | − | 1.51918i | ||||
\(805\) | 0.194190 | − | 0.394685i | 0.00684430 | − | 0.0139108i | ||||
\(806\) | 20.1521 | − | 4.63516i | 0.709827 | − | 0.163267i | ||||
\(807\) | −0.236451 | + | 2.76156i | −0.00832345 | + | 0.0972114i | ||||
\(808\) | 8.89495 | − | 32.8743i | 0.312923 | − | 1.15651i | ||||
\(809\) | 10.2546 | + | 14.1143i | 0.360534 | + | 0.496233i | 0.950297 | − | 0.311343i | \(-0.100779\pi\) |
−0.589763 | + | 0.807576i | \(0.700779\pi\) | |||||||
\(810\) | 15.4256 | − | 23.9176i | 0.542000 | − | 0.840378i | ||||
\(811\) | 13.9942 | − | 19.2614i | 0.491404 | − | 0.676359i | −0.489242 | − | 0.872148i | \(-0.662727\pi\) |
0.980646 | + | 0.195789i | \(0.0627267\pi\) | |||||||
\(812\) | 0.0809157 | + | 0.582642i | 0.00283958 | + | 0.0204467i | ||||
\(813\) | 17.0952 | + | 28.3322i | 0.599555 | + | 0.993653i | ||||
\(814\) | 35.6778 | + | 3.15074i | 1.25051 | + | 0.110433i | ||||
\(815\) | −34.0816 | − | 33.1402i | −1.19383 | − | 1.16085i | ||||
\(816\) | 11.8347 | − | 25.2865i | 0.414299 | − | 0.885203i | ||||
\(817\) | 5.80133 | − | 17.8547i | 0.202963 | − | 0.624656i | ||||
\(818\) | 3.03321 | − | 1.81917i | 0.106054 | − | 0.0636057i | ||||
\(819\) | 1.04015 | + | 0.548122i | 0.0363457 | + | 0.0191529i | ||||
\(820\) | −21.1980 | − | 29.4905i | −0.740265 | − | 1.02985i | ||||
\(821\) | 0.644797 | − | 0.209507i | 0.0225036 | − | 0.00731186i | −0.297744 | − | 0.954646i | \(-0.596234\pi\) |
0.320247 | + | 0.947334i | \(0.396234\pi\) | |||||||
\(822\) | 37.3667 | − | 36.1595i | 1.30331 | − | 1.26121i | ||||
\(823\) | 21.0254 | − | 28.9390i | 0.732899 | − | 1.00875i | −0.266097 | − | 0.963946i | \(-0.585734\pi\) |
0.998996 | − | 0.0448028i | \(-0.0142659\pi\) | |||||||
\(824\) | 54.8630 | − | 2.74060i | 1.91124 | − | 0.0954735i | ||||
\(825\) | −1.38882 | + | 24.1649i | −0.0483526 | + | 0.841315i | ||||
\(826\) | −0.559120 | − | 0.932254i | −0.0194543 | − | 0.0324372i | ||||
\(827\) | 16.3488 | + | 11.8781i | 0.568503 | + | 0.413042i | 0.834561 | − | 0.550915i | \(-0.185721\pi\) |
−0.266058 | + | 0.963957i | \(0.585721\pi\) | |||||||
\(828\) | 13.4995 | + | 4.88173i | 0.469139 | + | 0.169652i | ||||
\(829\) | 16.8061 | + | 51.7237i | 0.583698 | + | 1.79644i | 0.604436 | + | 0.796654i | \(0.293399\pi\) |
−0.0207372 | + | 0.999785i | \(0.506601\pi\) | |||||||
\(830\) | 6.96238 | − | 29.5810i | 0.241668 | − | 1.02677i | ||||
\(831\) | 19.4129 | − | 45.9706i | 0.673427 | − | 1.59470i | ||||
\(832\) | −37.9421 | + | 3.80017i | −1.31541 | + | 0.131747i | ||||
\(833\) | 26.8017 | + | 8.70841i | 0.928625 | + | 0.301728i | ||||
\(834\) | −1.78535 | − | 0.946913i | −0.0618215 | − | 0.0327889i | ||||
\(835\) | −6.42047 | + | 44.5675i | −0.222189 | + | 1.54232i | ||||
\(836\) | 5.22808 | + | 10.7637i | 0.180817 | + | 0.372270i | ||||
\(837\) | −5.79492 | − | 14.8491i | −0.200302 | − | 0.513259i | ||||
\(838\) | −8.50141 | + | 19.9827i | −0.293676 | + | 0.690292i | ||||
\(839\) | −12.8692 | − | 9.35003i | −0.444295 | − | 0.322799i | 0.343044 | − | 0.939319i | \(-0.388542\pi\) |
−0.787339 | + | 0.616520i | \(0.788542\pi\) | |||||||
\(840\) | 0.892430 | − | 0.121743i | 0.0307918 | − | 0.00420052i | ||||
\(841\) | −13.1095 | + | 9.52463i | −0.452053 | + | 0.328436i | ||||
\(842\) | 5.92600 | + | 25.7642i | 0.204223 | + | 0.887893i | ||||
\(843\) | 2.23784 | − | 26.1362i | 0.0770753 | − | 0.900178i | ||||
\(844\) | −0.915126 | + | 0.880845i | −0.0314999 | + | 0.0303199i | ||||
\(845\) | 3.09896 | − | 21.5113i | 0.106607 | − | 0.740012i | ||||
\(846\) | −5.64079 | − | 6.92479i | −0.193934 | − | 0.238079i | ||||
\(847\) | 0.249323 | − | 0.0810099i | 0.00856684 | − | 0.00278353i | ||||
\(848\) | −30.0781 | − | 1.14865i | −1.03289 | − | 0.0394448i | ||||
\(849\) | −1.08758 | + | 12.7021i | −0.0373258 | + | 0.435936i | ||||
\(850\) | 28.4432 | + | 1.71087i | 0.975594 | + | 0.0586823i | ||||
\(851\) | 21.6796 | 0.743167 | ||||||||
\(852\) | 11.6546 | − | 4.47672i | 0.399279 | − | 0.153370i | ||||
\(853\) | −8.54065 | − | 26.2854i | −0.292426 | − | 0.899995i | −0.984074 | − | 0.177760i | \(-0.943115\pi\) |
0.691648 | − | 0.722235i | \(-0.256885\pi\) | |||||||
\(854\) | 0.230059 | − | 0.264217i | 0.00787245 | − | 0.00904131i | ||||
\(855\) | 13.6563 | − | 4.44102i | 0.467034 | − | 0.151880i | ||||
\(856\) | −53.3315 | − | 14.4301i | −1.82283 | − | 0.493212i | ||||
\(857\) | 3.52202i | 0.120310i | 0.998189 | + | 0.0601549i | \(0.0191595\pi\) | ||||
−0.998189 | + | 0.0601549i | \(0.980841\pi\) | |||||||
\(858\) | −4.57501 | − | 32.3098i | −0.156188 | − | 1.10304i | ||||
\(859\) | −16.6207 | − | 22.8764i | −0.567091 | − | 0.780533i | 0.425116 | − | 0.905139i | \(-0.360233\pi\) |
−0.992206 | + | 0.124606i | \(0.960233\pi\) | |||||||
\(860\) | −0.199350 | + | 39.2193i | −0.00679779 | + | 1.33737i | ||||
\(861\) | −0.874261 | − | 0.757145i | −0.0297947 | − | 0.0258034i | ||||
\(862\) | −5.48065 | + | 12.8824i | −0.186672 | + | 0.438775i | ||||
\(863\) | −25.3803 | + | 18.4398i | −0.863954 | + | 0.627699i | −0.928958 | − | 0.370186i | \(-0.879294\pi\) |
0.0650037 | + | 0.997885i | \(0.479294\pi\) | |||||||
\(864\) | 7.15317 | + | 28.5102i | 0.243356 | + | 0.969937i | ||||
\(865\) | 4.32680 | − | 8.79410i | 0.147116 | − | 0.299009i | ||||
\(866\) | −3.46118 | + | 8.13557i | −0.117616 | + | 0.276458i | ||||
\(867\) | −0.512856 | + | 1.21446i | −0.0174175 | + | 0.0412453i | ||||
\(868\) | 0.237551 | − | 0.445016i | 0.00806302 | − | 0.0151048i | ||||
\(869\) | −12.6263 | − | 4.10254i | −0.428319 | − | 0.139169i | ||||
\(870\) | −11.4780 | − | 15.8785i | −0.389140 | − | 0.538333i | ||||
\(871\) | −58.3556 | + | 18.9609i | −1.97730 | + | 0.642465i | ||||
\(872\) | 4.05838 | − | 1.54648i | 0.137434 | − | 0.0523704i | ||||
\(873\) | 17.3689 | + | 17.8531i | 0.587847 | + | 0.604237i | ||||
\(874\) | 3.72539 | + | 6.21156i | 0.126013 | + | 0.210109i | ||||
\(875\) | 0.451368 | + | 0.800826i | 0.0152590 | + | 0.0270729i | ||||
\(876\) | −2.88327 | + | 4.44199i | −0.0974167 | + | 0.150081i | ||||
\(877\) | 8.12642 | + | 5.90419i | 0.274410 | + | 0.199370i | 0.716475 | − | 0.697612i | \(-0.245754\pi\) |
−0.442066 | + | 0.896983i | \(0.645754\pi\) | |||||||
\(878\) | 19.3454 | − | 22.2177i | 0.652875 | − | 0.749810i | ||||
\(879\) | 17.2494 | − | 4.01602i | 0.581809 | − | 0.135457i | ||||
\(880\) | −17.2444 | − | 18.0987i | −0.581307 | − | 0.610107i | ||||
\(881\) | −16.8622 | − | 5.47887i | −0.568102 | − | 0.184588i | 0.0108612 | − | 0.999941i | \(-0.496543\pi\) |
−0.578964 | + | 0.815353i | \(0.696543\pi\) | |||||||
\(882\) | −27.6683 | + | 10.7127i | −0.931641 | + | 0.360715i | ||||
\(883\) | −40.4287 | − | 13.1361i | −1.36053 | − | 0.442065i | −0.464313 | − | 0.885671i | \(-0.653699\pi\) |
−0.896222 | + | 0.443607i | \(0.853699\pi\) | |||||||
\(884\) | −38.0504 | + | 5.28433i | −1.27977 | + | 0.177731i | ||||
\(885\) | 31.0060 | + | 18.6978i | 1.04226 | + | 0.628521i | ||||
\(886\) | 23.4057 | + | 2.06698i | 0.786331 | + | 0.0694416i | ||||
\(887\) | −22.9236 | + | 16.6550i | −0.769700 | + | 0.559220i | −0.901870 | − | 0.432007i | \(-0.857806\pi\) |
0.132170 | + | 0.991227i | \(0.457806\pi\) | |||||||
\(888\) | 24.8018 | + | 36.8174i | 0.832293 | + | 1.23551i | ||||
\(889\) | −1.08683 | − | 0.789629i | −0.0364512 | − | 0.0264833i | ||||
\(890\) | 17.3468 | − | 28.5928i | 0.581465 | − | 0.958433i | ||||
\(891\) | −24.1279 | + | 7.11247i | −0.808315 | + | 0.238277i | ||||
\(892\) | 12.7839 | − | 12.3050i | 0.428038 | − | 0.412003i | ||||
\(893\) | − | 4.50653i | − | 0.150805i | ||||||
\(894\) | 6.42348 | − | 0.909553i | 0.214833 | − | 0.0304200i | ||||
\(895\) | −17.0824 | − | 32.3966i | −0.571003 | − | 1.08290i | ||||
\(896\) | −0.537904 | + | 0.758944i | −0.0179701 | + | 0.0253545i | ||||
\(897\) | −4.47889 | − | 19.2375i | −0.149546 | − | 0.642323i | ||||
\(898\) | −0.781748 | + | 8.85223i | −0.0260873 | + | 0.295403i | ||||
\(899\) | −10.9732 | −0.365976 | ||||||||
\(900\) | −24.3554 | + | 17.5162i | −0.811846 | + | 0.583872i | ||||
\(901\) | −30.3239 | −1.01024 | ||||||||
\(902\) | −2.82376 | + | 31.9752i | −0.0940210 | + | 1.06466i | ||||
\(903\) | 0.283202 | + | 1.21640i | 0.00942438 | + | 0.0404792i | ||||
\(904\) | −15.8220 | − | 41.5211i | −0.526231 | − | 1.38097i | ||||
\(905\) | −1.39505 | + | 9.68366i | −0.0463729 | + | 0.321896i | ||||
\(906\) | 36.3097 | − | 5.14138i | 1.20631 | − | 0.170811i | ||||
\(907\) | − | 12.5127i | − | 0.415478i | −0.978184 | − | 0.207739i | \(-0.933390\pi\) | ||
0.978184 | − | 0.207739i | \(-0.0666104\pi\) | |||||||
\(908\) | 12.4354 | + | 12.9193i | 0.412683 | + | 0.428744i | ||||
\(909\) | 15.9552 | + | 32.4076i | 0.529199 | + | 1.07489i | ||||
\(910\) | −0.809075 | − | 0.938795i | −0.0268206 | − | 0.0311207i | ||||
\(911\) | −26.6278 | − | 19.3462i | −0.882219 | − | 0.640970i | 0.0516184 | − | 0.998667i | \(-0.483562\pi\) |
−0.933838 | + | 0.357697i | \(0.883562\pi\) | |||||||
\(912\) | −6.28689 | + | 13.4328i | −0.208180 | + | 0.444803i | ||||
\(913\) | −21.7295 | + | 15.7874i | −0.719140 | + | 0.522486i | ||||
\(914\) | 51.1206 | + | 4.51451i | 1.69092 | + | 0.149327i | ||||
\(915\) | −2.64311 | + | 11.3657i | −0.0873787 | + | 0.375737i | ||||
\(916\) | 1.19102 | + | 8.57607i | 0.0393524 | + | 0.283361i | ||||
\(917\) | 1.19371 | + | 0.387861i | 0.0394198 | + | 0.0128083i | ||||
\(918\) | 8.29719 | + | 28.4263i | 0.273848 | + | 0.938208i | ||||
\(919\) | 25.1738 | + | 8.17948i | 0.830409 | + | 0.269816i | 0.693217 | − | 0.720729i | \(-0.256193\pi\) |
0.137191 | + | 0.990545i | \(0.456193\pi\) | |||||||
\(920\) | −11.3611 | − | 9.99436i | −0.374566 | − | 0.329504i | ||||
\(921\) | −12.5995 | + | 2.93342i | −0.415168 | + | 0.0966596i | ||||
\(922\) | −27.2392 | + | 31.2835i | −0.897074 | + | 1.03027i | ||||
\(923\) | −13.8978 | − | 10.0974i | −0.457453 | − | 0.332359i | ||||
\(924\) | −0.667733 | − | 0.433421i | −0.0219668 | − | 0.0142585i | ||||
\(925\) | −25.5942 | + | 37.3858i | −0.841532 | + | 1.22924i | ||||
\(926\) | 14.5783 | + | 24.3073i | 0.479074 | + | 0.798789i | ||||
\(927\) | −41.7611 | + | 40.6283i | −1.37161 | + | 1.33441i | ||||
\(928\) | 20.0741 | + | 2.54797i | 0.658966 | + | 0.0836411i | ||||
\(929\) | −16.3510 | + | 5.31275i | −0.536458 | + | 0.174306i | −0.564701 | − | 0.825295i | \(-0.691009\pi\) |
0.0282436 | + | 0.999601i | \(0.491009\pi\) | |||||||
\(930\) | −0.0405674 | + | 16.8019i | −0.00133026 | + | 0.550957i | ||||
\(931\) | −14.2377 | − | 4.62611i | −0.466622 | − | 0.151615i | ||||
\(932\) | −3.58601 | − | 1.91423i | −0.117464 | − | 0.0627026i | ||||
\(933\) | −1.32329 | + | 3.13360i | −0.0433226 | + | 0.102590i | ||||
\(934\) | 8.25482 | − | 19.4031i | 0.270106 | − | 0.634889i | ||||
\(935\) | −18.0558 | − | 17.5571i | −0.590486 | − | 0.574177i | ||||
\(936\) | 27.5462 | − | 29.6143i | 0.900377 | − | 0.967974i | ||||
\(937\) | −33.1311 | + | 24.0711i | −1.08234 | + | 0.786369i | −0.978090 | − | 0.208182i | \(-0.933246\pi\) |
−0.104254 | + | 0.994551i | \(0.533246\pi\) | |||||||
\(938\) | −0.585992 | + | 1.37738i | −0.0191333 | + | 0.0449732i | ||||
\(939\) | −12.3148 | − | 10.6651i | −0.401879 | − | 0.348043i | ||||
\(940\) | 2.86372 | + | 8.96849i | 0.0934043 | + | 0.292520i | ||||
\(941\) | 10.9977 | + | 15.1370i | 0.358515 | + | 0.493454i | 0.949734 | − | 0.313057i | \(-0.101353\pi\) |
−0.591219 | + | 0.806511i | \(0.701353\pi\) | |||||||
\(942\) | 2.22756 | + | 15.7316i | 0.0725779 | + | 0.512563i | ||||
\(943\) | 19.4298i | 0.632720i | ||||||||
\(944\) | −35.9798 | + | 10.1901i | −1.17104 | + | 0.331659i | ||||
\(945\) | −0.625234 | + | 0.722317i | −0.0203389 | + | 0.0234970i | ||||
\(946\) | 22.7628 | − | 26.1425i | 0.740084 | − | 0.849967i | ||||
\(947\) | −3.26868 | − | 10.0599i | −0.106218 | − | 0.326904i | 0.883797 | − | 0.467871i | \(-0.154979\pi\) |
−0.990014 | + | 0.140967i | \(0.954979\pi\) | |||||||
\(948\) | −5.90023 | − | 15.3605i | −0.191631 | − | 0.498886i | ||||
\(949\) | 7.28673 | 0.236537 | ||||||||
\(950\) | −15.1097 | − | 0.908854i | −0.490224 | − | 0.0294871i | ||||
\(951\) | −2.44945 | + | 28.6076i | −0.0794288 | + | 0.927665i | ||||
\(952\) | −0.512333 | + | 0.784711i | −0.0166048 | + | 0.0254326i | ||||
\(953\) | 34.4460 | − | 11.1922i | 1.11581 | − | 0.362550i | 0.307645 | − | 0.951501i | \(-0.400459\pi\) |
0.808169 | + | 0.588951i | \(0.200459\pi\) | |||||||
\(954\) | 24.7530 | − | 20.1633i | 0.801407 | − | 0.652809i | ||||
\(955\) | 25.5249 | − | 26.2499i | 0.825968 | − | 0.849428i | ||||
\(956\) | 16.8791 | + | 17.5360i | 0.545910 | + | 0.567156i | ||||
\(957\) | −1.47729 | + | 17.2535i | −0.0477539 | + | 0.557727i | ||||
\(958\) | −0.873192 | − | 3.79634i | −0.0282116 | − | 0.122654i | ||||
\(959\) | −1.41207 | + | 1.02593i | −0.0455980 | + | 0.0331289i | ||||
\(960\) | 3.97561 | − | 30.7277i | 0.128312 | − | 0.991734i | ||||
\(961\) | −17.4665 | − | 12.6901i | −0.563435 | − | 0.409360i | ||||
\(962\) | 23.9125 | − | 56.2068i | 0.770970 | − | 1.81218i | ||||
\(963\) | 52.5744 | − | 25.8838i | 1.69419 | − | 0.834094i | ||||
\(964\) | −36.7874 | + | 17.8682i | −1.18484 | + | 0.575495i | ||||
\(965\) | 18.2409 | − | 3.15149i | 0.587195 | − | 0.101450i | ||||
\(966\) | −0.425686 | − | 0.225776i | −0.0136962 | − | 0.00726422i | ||||
\(967\) | −5.22806 | − | 1.69870i | −0.168123 | − | 0.0546265i | 0.223746 | − | 0.974647i | \(-0.428171\pi\) |
−0.391869 | + | 0.920021i | \(0.628171\pi\) | |||||||
\(968\) | −0.449924 | − | 9.00683i | −0.0144611 | − | 0.289491i | ||||
\(969\) | −5.81261 | + | 13.7645i | −0.186728 | + | 0.442179i | ||||
\(970\) | −10.1556 | − | 24.2118i | −0.326076 | − | 0.777393i | ||||
\(971\) | −4.59684 | − | 14.1476i | −0.147520 | − | 0.454019i | 0.849807 | − | 0.527094i | \(-0.176719\pi\) |
−0.997326 | + | 0.0730755i | \(0.976719\pi\) | |||||||
\(972\) | −25.6743 | − | 17.6869i | −0.823505 | − | 0.567309i | ||||
\(973\) | 0.0548805 | + | 0.0398730i | 0.00175939 | + | 0.00127827i | ||||
\(974\) | 18.0400 | + | 30.0791i | 0.578037 | + | 0.963796i | ||||
\(975\) | 38.4621 | + | 14.9875i | 1.23177 | + | 0.479984i | ||||
\(976\) | −6.70655 | − | 10.0132i | −0.214671 | − | 0.320515i | ||||
\(977\) | 20.0258 | − | 27.5632i | 0.640683 | − | 0.881825i | −0.357969 | − | 0.933734i | \(-0.616531\pi\) |
0.998652 | + | 0.0519089i | \(0.0165305\pi\) | |||||||
\(978\) | −37.4220 | + | 36.2131i | −1.19662 | + | 1.15797i | ||||
\(979\) | −28.1117 | + | 9.13405i | −0.898454 | + | 0.291925i | ||||
\(980\) | 31.2743 | + | 0.158966i | 0.999021 | + | 0.00507799i | ||||
\(981\) | −2.14753 | + | 4.07528i | −0.0685655 | + | 0.130114i | ||||
\(982\) | −18.3261 | + | 10.9911i | −0.584809 | + | 0.350740i | ||||
\(983\) | 11.8913 | − | 36.5975i | 0.379272 | − | 1.16728i | −0.561278 | − | 0.827627i | \(-0.689690\pi\) |
0.940551 | − | 0.339653i | \(-0.110310\pi\) | |||||||
\(984\) | −32.9966 | + | 22.2279i | −1.05189 | + | 0.708600i | ||||
\(985\) | 24.1365 | − | 12.7269i | 0.769053 | − | 0.405514i | ||||
\(986\) | 20.3067 | + | 1.79330i | 0.646696 | + | 0.0571103i | ||||
\(987\) | 0.154885 | + | 0.256694i | 0.00493006 | + | 0.00817067i | ||||
\(988\) | 20.2132 | − | 2.80716i | 0.643069 | − | 0.0893076i | ||||
\(989\) | 12.3328 | − | 16.9746i | 0.392160 | − | 0.539762i | ||||
\(990\) | 26.4128 | + | 2.32578i | 0.839455 | + | 0.0739181i | ||||
\(991\) | 16.2543 | + | 22.3721i | 0.516335 | + | 0.710674i | 0.984972 | − | 0.172717i | \(-0.0552545\pi\) |
−0.468636 | + | 0.883391i | \(0.655255\pi\) | |||||||
\(992\) | −12.6428 | − | 11.8864i | −0.401410 | − | 0.377394i | ||||
\(993\) | 3.26621 | − | 38.1467i | 0.103650 | − | 1.21055i | ||||
\(994\) | −0.408412 | + | 0.0939384i | −0.0129540 | + | 0.00297955i | ||||
\(995\) | −8.34414 | − | 48.2960i | −0.264527 | − | 1.53109i | ||||
\(996\) | −32.1574 | − | 8.60893i | −1.01895 | − | 0.272784i | ||||
\(997\) | 4.70023 | + | 14.4658i | 0.148858 | + | 0.458137i | 0.997487 | − | 0.0708511i | \(-0.0225715\pi\) |
−0.848629 | + | 0.528988i | \(0.822572\pi\) | |||||||
\(998\) | −3.80308 | + | 43.0646i | −0.120384 | + | 1.36319i | ||||
\(999\) | −45.5475 | − | 11.9335i | −1.44106 | − | 0.377559i |
(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 | 300.2.n.a.191.56 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.191.1 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.191.23 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.191.34 | yes | 224 | |
25.11 | even | 5 | inner | 300.2.n.a.11.34 | yes | 224 | |
75.11 | odd | 10 | inner | 300.2.n.a.11.23 | yes | 224 | |
100.11 | odd | 10 | inner | 300.2.n.a.11.1 | ✓ | 224 | |
300.11 | even | 10 | inner | 300.2.n.a.11.56 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.1 | ✓ | 224 | 100.11 | odd | 10 | inner | |
300.2.n.a.11.23 | yes | 224 | 75.11 | odd | 10 | inner | |
300.2.n.a.11.34 | yes | 224 | 25.11 | even | 5 | inner | |
300.2.n.a.11.56 | yes | 224 | 300.11 | even | 10 | inner | |
300.2.n.a.191.1 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.191.23 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.191.34 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.191.56 | yes | 224 | 1.1 | even | 1 | trivial |