Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(2,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bs (of order \(60\), degree \(16\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(1216\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.12 | ||
Character | \(\chi\) | \(=\) | 525.2 |
Dual form | 525.2.bs.a.263.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61952 | − | 1.31146i | −1.14518 | − | 0.927345i | −0.147086 | − | 0.989124i | \(-0.546989\pi\) |
−0.998090 | + | 0.0617785i | \(0.980323\pi\) | |||||||
\(3\) | 0.852586 | + | 1.50768i | 0.492241 | + | 0.870459i | ||||
\(4\) | 0.487094 | + | 2.29160i | 0.243547 | + | 1.14580i | ||||
\(5\) | 0.657350 | + | 2.13726i | 0.293976 | + | 0.955813i | ||||
\(6\) | 0.596485 | − | 3.55986i | 0.243514 | − | 1.45331i | ||||
\(7\) | −2.28662 | − | 1.33093i | −0.864260 | − | 0.503045i | ||||
\(8\) | 0.324313 | − | 0.636500i | 0.114662 | − | 0.225037i | ||||
\(9\) | −1.54619 | + | 2.57085i | −0.515398 | + | 0.856951i | ||||
\(10\) | 1.73835 | − | 4.32344i | 0.549714 | − | 1.36719i | ||||
\(11\) | 0.595959 | − | 1.33855i | 0.179688 | − | 0.403587i | −0.801136 | − | 0.598483i | \(-0.795770\pi\) |
0.980824 | + | 0.194896i | \(0.0624371\pi\) | |||||||
\(12\) | −3.03971 | + | 2.68817i | −0.877488 | + | 0.776007i | ||||
\(13\) | 3.07438 | − | 0.486933i | 0.852679 | − | 0.135051i | 0.285229 | − | 0.958459i | \(-0.407930\pi\) |
0.567449 | + | 0.823408i | \(0.307930\pi\) | |||||||
\(14\) | 1.95776 | + | 5.15429i | 0.523233 | + | 1.37754i | ||||
\(15\) | −2.66186 | + | 2.81327i | −0.687289 | + | 0.726384i | ||||
\(16\) | 2.92052 | − | 1.30030i | 0.730129 | − | 0.325075i | ||||
\(17\) | 0.347914 | + | 6.63859i | 0.0843814 | + | 1.61009i | 0.633089 | + | 0.774079i | \(0.281787\pi\) |
−0.548707 | + | 0.836015i | \(0.684880\pi\) | |||||||
\(18\) | 5.87568 | − | 2.13578i | 1.38491 | − | 0.503407i | ||||
\(19\) | 1.00999 | − | 4.75162i | 0.231707 | − | 1.09010i | −0.696362 | − | 0.717690i | \(-0.745199\pi\) |
0.928070 | − | 0.372407i | \(-0.121467\pi\) | |||||||
\(20\) | −4.57756 | + | 2.54743i | −1.02357 | + | 0.569623i | ||||
\(21\) | 0.0570831 | − | 4.58222i | 0.0124565 | − | 0.999922i | ||||
\(22\) | −2.72062 | + | 1.38623i | −0.580039 | + | 0.295545i | ||||
\(23\) | −3.59571 | + | 4.44034i | −0.749758 | + | 0.925874i | −0.999095 | − | 0.0425427i | \(-0.986454\pi\) |
0.249337 | + | 0.968417i | \(0.419787\pi\) | |||||||
\(24\) | 1.23614 | − | 0.0537109i | 0.252327 | − | 0.0109637i | ||||
\(25\) | −4.13578 | + | 2.80986i | −0.827156 | + | 0.561972i | ||||
\(26\) | −5.61762 | − | 3.24333i | −1.10171 | − | 0.636070i | ||||
\(27\) | −5.19429 | − | 0.139294i | −0.999641 | − | 0.0268072i | ||||
\(28\) | 1.93617 | − | 5.88830i | 0.365901 | − | 1.11278i | ||||
\(29\) | −1.48098 | + | 4.55799i | −0.275011 | + | 0.846398i | 0.714205 | + | 0.699936i | \(0.246788\pi\) |
−0.989216 | + | 0.146461i | \(0.953212\pi\) | |||||||
\(30\) | 8.00045 | − | 1.06523i | 1.46068 | − | 0.194483i | ||||
\(31\) | −6.54636 | + | 7.27047i | −1.17576 | + | 1.30581i | −0.232949 | + | 0.972489i | \(0.574838\pi\) |
−0.942812 | + | 0.333326i | \(0.891829\pi\) | |||||||
\(32\) | −7.81518 | − | 2.09407i | −1.38154 | − | 0.370183i | ||||
\(33\) | 2.52620 | − | 0.242710i | 0.439756 | − | 0.0422504i | ||||
\(34\) | 8.14281 | − | 11.2076i | 1.39648 | − | 1.92209i | ||||
\(35\) | 1.34145 | − | 5.76199i | 0.226746 | − | 0.973954i | ||||
\(36\) | −6.64450 | − | 2.29101i | −1.10742 | − | 0.381835i | ||||
\(37\) | −2.94038 | − | 1.12871i | −0.483395 | − | 0.185558i | 0.104452 | − | 0.994530i | \(-0.466691\pi\) |
−0.587847 | + | 0.808972i | \(0.700024\pi\) | |||||||
\(38\) | −7.86728 | + | 6.37080i | −1.27624 | + | 1.03348i | ||||
\(39\) | 3.35531 | + | 4.22002i | 0.537279 | + | 0.675744i | ||||
\(40\) | 1.57356 | + | 0.274739i | 0.248801 | + | 0.0434400i | ||||
\(41\) | 1.73073 | − | 2.38215i | 0.270295 | − | 0.372030i | −0.652194 | − | 0.758052i | \(-0.726151\pi\) |
0.922489 | + | 0.386022i | \(0.126151\pi\) | |||||||
\(42\) | −6.10186 | + | 7.34615i | −0.941538 | + | 1.13354i | ||||
\(43\) | −7.78429 | + | 7.78429i | −1.18709 | + | 1.18709i | −0.209227 | + | 0.977867i | \(0.567095\pi\) |
−0.977867 | + | 0.209227i | \(0.932905\pi\) | |||||||
\(44\) | 3.35770 | + | 0.713700i | 0.506192 | + | 0.107594i | ||||
\(45\) | −6.51098 | − | 1.61468i | −0.970599 | − | 0.240702i | ||||
\(46\) | 11.6467 | − | 2.47558i | 1.71721 | − | 0.365004i | ||||
\(47\) | −4.83566 | − | 0.253426i | −0.705354 | − | 0.0369660i | −0.303713 | − | 0.952764i | \(-0.598226\pi\) |
−0.401640 | + | 0.915797i | \(0.631560\pi\) | |||||||
\(48\) | 4.45042 | + | 3.29459i | 0.642363 | + | 0.475533i | ||||
\(49\) | 3.45724 | + | 6.08667i | 0.493891 | + | 0.869524i | ||||
\(50\) | 10.3830 | + | 0.873298i | 1.46838 | + | 0.123503i | ||||
\(51\) | −9.71224 | + | 6.18451i | −1.35999 | + | 0.866004i | ||||
\(52\) | 2.61337 | + | 6.80805i | 0.362409 | + | 0.944107i | ||||
\(53\) | 3.00004 | + | 1.94825i | 0.412087 | + | 0.267612i | 0.733990 | − | 0.679160i | \(-0.237656\pi\) |
−0.321903 | + | 0.946773i | \(0.604323\pi\) | |||||||
\(54\) | 8.22959 | + | 7.03771i | 1.11990 | + | 0.957711i | ||||
\(55\) | 3.25258 | + | 0.393828i | 0.438577 | + | 0.0531037i | ||||
\(56\) | −1.58872 | + | 1.02379i | −0.212302 | + | 0.136810i | ||||
\(57\) | 8.02503 | − | 2.52843i | 1.06294 | − | 0.334898i | ||||
\(58\) | 8.37612 | − | 5.43952i | 1.09984 | − | 0.714244i | ||||
\(59\) | 1.05640 | − | 10.0509i | 0.137531 | − | 1.30852i | −0.680245 | − | 0.732985i | \(-0.738126\pi\) |
0.817776 | − | 0.575537i | \(-0.195207\pi\) | |||||||
\(60\) | −7.74347 | − | 4.72958i | −0.999677 | − | 0.610587i | ||||
\(61\) | −0.0196500 | − | 0.186957i | −0.00251592 | − | 0.0239374i | 0.993192 | − | 0.116490i | \(-0.0371642\pi\) |
−0.995708 | + | 0.0925522i | \(0.970498\pi\) | |||||||
\(62\) | 20.1369 | − | 3.18938i | 2.55739 | − | 0.405051i | ||||
\(63\) | 6.95719 | − | 3.82067i | 0.876523 | − | 0.481360i | ||||
\(64\) | 6.15238 | + | 8.46803i | 0.769048 | + | 1.05850i | ||||
\(65\) | 3.06165 | + | 6.25066i | 0.379750 | + | 0.775299i | ||||
\(66\) | −4.40955 | − | 2.91995i | −0.542778 | − | 0.359421i | ||||
\(67\) | 3.92285 | − | 0.205588i | 0.479252 | − | 0.0251166i | 0.188819 | − | 0.982012i | \(-0.439534\pi\) |
0.290433 | + | 0.956895i | \(0.406201\pi\) | |||||||
\(68\) | −15.0435 | + | 4.03090i | −1.82429 | + | 0.488818i | ||||
\(69\) | −9.76026 | − | 1.63542i | −1.17500 | − | 0.196881i | ||||
\(70\) | −9.72914 | + | 7.57242i | −1.16286 | + | 0.905077i | ||||
\(71\) | 5.43153 | + | 1.76481i | 0.644604 | + | 0.209444i | 0.613033 | − | 0.790057i | \(-0.289949\pi\) |
0.0315703 | + | 0.999502i | \(0.489949\pi\) | |||||||
\(72\) | 1.13490 | + | 1.81791i | 0.133749 | + | 0.214243i | ||||
\(73\) | 11.3119 | − | 4.34223i | 1.32396 | − | 0.508220i | 0.409282 | − | 0.912408i | \(-0.365779\pi\) |
0.914676 | + | 0.404188i | \(0.132446\pi\) | |||||||
\(74\) | 3.28176 | + | 5.68417i | 0.381496 | + | 0.660771i | ||||
\(75\) | −7.76248 | − | 3.83979i | −0.896333 | − | 0.443381i | ||||
\(76\) | 11.3808 | 1.30546 | ||||||||
\(77\) | −3.14424 | + | 2.26756i | −0.358320 | + | 0.258412i | ||||
\(78\) | 0.100406 | − | 11.2348i | 0.0113687 | − | 1.27209i | ||||
\(79\) | 7.29864 | − | 6.57173i | 0.821161 | − | 0.739377i | −0.147153 | − | 0.989114i | \(-0.547011\pi\) |
0.968314 | + | 0.249737i | \(0.0803442\pi\) | |||||||
\(80\) | 4.69888 | + | 5.38716i | 0.525351 | + | 0.602303i | ||||
\(81\) | −4.21856 | − | 7.95008i | −0.468729 | − | 0.883342i | ||||
\(82\) | −5.92707 | + | 1.58815i | −0.654535 | + | 0.175382i | ||||
\(83\) | −6.26904 | + | 12.3037i | −0.688116 | + | 1.35050i | 0.237257 | + | 0.971447i | \(0.423752\pi\) |
−0.925373 | + | 0.379057i | \(0.876248\pi\) | |||||||
\(84\) | 10.5284 | − | 2.10116i | 1.14874 | − | 0.229256i | ||||
\(85\) | −13.9597 | + | 5.10746i | −1.51414 | + | 0.553982i | ||||
\(86\) | 22.8157 | − | 2.39802i | 2.46028 | − | 0.258586i | ||||
\(87\) | −8.13465 | + | 1.65323i | −0.872126 | + | 0.177245i | ||||
\(88\) | −0.658707 | − | 0.813436i | −0.0702184 | − | 0.0867125i | ||||
\(89\) | 0.398480 | + | 3.79129i | 0.0422388 | + | 0.401876i | 0.995131 | + | 0.0985651i | \(0.0314253\pi\) |
−0.952892 | + | 0.303311i | \(0.901908\pi\) | |||||||
\(90\) | 8.42709 | + | 11.1539i | 0.888293 | + | 1.17573i | ||||
\(91\) | −7.67800 | − | 2.97836i | −0.804873 | − | 0.312217i | ||||
\(92\) | −11.9269 | − | 6.07707i | −1.24347 | − | 0.633578i | ||||
\(93\) | −16.5429 | − | 3.67111i | −1.71542 | − | 0.380677i | ||||
\(94\) | 7.49911 | + | 6.75222i | 0.773474 | + | 0.696439i | ||||
\(95\) | 10.8194 | − | 0.964868i | 1.11005 | − | 0.0989934i | ||||
\(96\) | −3.50592 | − | 13.5682i | −0.357822 | − | 1.38479i | ||||
\(97\) | 5.63482 | − | 2.87108i | 0.572129 | − | 0.291514i | −0.143891 | − | 0.989593i | \(-0.545962\pi\) |
0.716021 | + | 0.698079i | \(0.245962\pi\) | |||||||
\(98\) | 2.38337 | − | 14.3915i | 0.240757 | − | 1.45377i | ||||
\(99\) | 2.51973 | + | 3.60177i | 0.253243 | + | 0.361992i | ||||
\(100\) | −8.45358 | − | 8.10888i | −0.845358 | − | 0.810888i | ||||
\(101\) | 1.10202 | − | 0.636251i | 0.109655 | − | 0.0633094i | −0.444169 | − | 0.895943i | \(-0.646501\pi\) |
0.553824 | + | 0.832633i | \(0.313168\pi\) | |||||||
\(102\) | 23.8400 | + | 2.72129i | 2.36051 | + | 0.269448i | ||||
\(103\) | −8.06927 | − | 0.422892i | −0.795088 | − | 0.0416688i | −0.349534 | − | 0.936924i | \(-0.613660\pi\) |
−0.445554 | + | 0.895255i | \(0.646993\pi\) | |||||||
\(104\) | 0.687127 | − | 2.11476i | 0.0673784 | − | 0.207369i | ||||
\(105\) | 9.83093 | − | 2.89012i | 0.959401 | − | 0.282047i | ||||
\(106\) | −2.30357 | − | 7.08967i | −0.223743 | − | 0.688610i | ||||
\(107\) | −1.94207 | − | 7.24791i | −0.187747 | − | 0.700682i | −0.994026 | − | 0.109146i | \(-0.965188\pi\) |
0.806279 | − | 0.591536i | \(-0.201478\pi\) | |||||||
\(108\) | −2.21090 | − | 11.9711i | −0.212744 | − | 1.15192i | ||||
\(109\) | 15.6737 | + | 1.64738i | 1.50127 | + | 0.157790i | 0.819206 | − | 0.573500i | \(-0.194415\pi\) |
0.682067 | + | 0.731290i | \(0.261081\pi\) | |||||||
\(110\) | −4.75113 | − | 4.90345i | −0.453003 | − | 0.467526i | ||||
\(111\) | −0.805199 | − | 5.39547i | −0.0764261 | − | 0.512115i | ||||
\(112\) | −8.40872 | − | 0.913729i | −0.794549 | − | 0.0863393i | ||||
\(113\) | 0.491767 | + | 3.10489i | 0.0462615 | + | 0.292084i | 0.999962 | − | 0.00867310i | \(-0.00276077\pi\) |
−0.953701 | + | 0.300757i | \(0.902761\pi\) | |||||||
\(114\) | −16.3127 | − | 6.42969i | −1.52782 | − | 0.602196i | ||||
\(115\) | −11.8538 | − | 4.76613i | −1.10537 | − | 0.444444i | ||||
\(116\) | −11.1665 | − | 1.17364i | −1.03678 | − | 0.108970i | ||||
\(117\) | −3.50175 | + | 8.65666i | −0.323737 | + | 0.800309i | ||||
\(118\) | −14.8923 | + | 14.8923i | −1.37095 | + | 1.37095i | ||||
\(119\) | 8.03997 | − | 15.6430i | 0.737023 | − | 1.43399i | ||||
\(120\) | 0.927373 | + | 2.60666i | 0.0846572 | + | 0.237954i | ||||
\(121\) | 5.92390 | + | 6.57916i | 0.538536 | + | 0.598105i | ||||
\(122\) | −0.213364 | + | 0.328552i | −0.0193171 | + | 0.0297457i | ||||
\(123\) | 5.06712 | + | 0.578404i | 0.456887 | + | 0.0521530i | ||||
\(124\) | −19.8497 | − | 11.4602i | −1.78255 | − | 1.02916i | ||||
\(125\) | −8.72406 | − | 6.99219i | −0.780304 | − | 0.625401i | ||||
\(126\) | −16.2780 | − | 2.93643i | −1.45016 | − | 0.261598i | ||||
\(127\) | 16.2476 | + | 2.57337i | 1.44174 | + | 0.228350i | 0.827811 | − | 0.561008i | \(-0.189586\pi\) |
0.613934 | + | 0.789358i | \(0.289586\pi\) | |||||||
\(128\) | 0.294701 | − | 5.62323i | 0.0260481 | − | 0.497028i | ||||
\(129\) | −18.3730 | − | 5.09944i | −1.61765 | − | 0.448981i | ||||
\(130\) | 3.23911 | − | 14.1383i | 0.284089 | − | 1.24001i | ||||
\(131\) | 2.83740 | − | 13.3489i | 0.247905 | − | 1.16630i | −0.661355 | − | 0.750073i | \(-0.730018\pi\) |
0.909260 | − | 0.416229i | \(-0.136649\pi\) | |||||||
\(132\) | 1.78669 | + | 5.67082i | 0.155512 | + | 0.493582i | ||||
\(133\) | −8.63355 | + | 9.52092i | −0.748624 | + | 0.825568i | ||||
\(134\) | −6.62277 | − | 4.81172i | −0.572120 | − | 0.415670i | ||||
\(135\) | −3.11675 | − | 11.1931i | −0.268247 | − | 0.963350i | ||||
\(136\) | 4.33830 | + | 1.93153i | 0.372006 | + | 0.165628i | ||||
\(137\) | −3.87204 | − | 4.78157i | −0.330811 | − | 0.408517i | 0.584418 | − | 0.811453i | \(-0.301323\pi\) |
−0.915228 | + | 0.402936i | \(0.867990\pi\) | |||||||
\(138\) | 13.6622 | + | 15.4488i | 1.16300 | + | 1.31509i | ||||
\(139\) | 4.63862 | + | 6.38451i | 0.393442 | + | 0.541527i | 0.959083 | − | 0.283125i | \(-0.0913711\pi\) |
−0.565641 | + | 0.824652i | \(0.691371\pi\) | |||||||
\(140\) | 13.8576 | + | 0.267422i | 1.17118 | + | 0.0226013i | ||||
\(141\) | −3.74073 | − | 7.50669i | −0.315026 | − | 0.632178i | ||||
\(142\) | −6.48200 | − | 9.98140i | −0.543957 | − | 0.837621i | ||||
\(143\) | 1.18042 | − | 4.40538i | 0.0987116 | − | 0.368397i | ||||
\(144\) | −1.17282 | + | 9.51873i | −0.0977346 | + | 0.793228i | ||||
\(145\) | −10.7151 | − | 0.169050i | −0.889844 | − | 0.0140388i | ||||
\(146\) | −24.0146 | − | 7.80281i | −1.98746 | − | 0.645765i | ||||
\(147\) | −6.22915 | + | 10.4018i | −0.513772 | + | 0.857927i | ||||
\(148\) | 1.15430 | − | 7.28795i | 0.0948828 | − | 0.599066i | ||||
\(149\) | 1.38768 | − | 2.40353i | 0.113683 | − | 0.196905i | −0.803570 | − | 0.595211i | \(-0.797069\pi\) |
0.917253 | + | 0.398306i | \(0.130402\pi\) | |||||||
\(150\) | 7.53577 | + | 16.3988i | 0.615293 | + | 1.33896i | ||||
\(151\) | 2.64238 | + | 4.57673i | 0.215033 | + | 0.372449i | 0.953283 | − | 0.302079i | \(-0.0976806\pi\) |
−0.738249 | + | 0.674528i | \(0.764347\pi\) | |||||||
\(152\) | −2.69686 | − | 2.18387i | −0.218744 | − | 0.177135i | ||||
\(153\) | −17.6048 | − | 9.37012i | −1.42326 | − | 0.757529i | ||||
\(154\) | 8.06600 | + | 0.451197i | 0.649977 | + | 0.0363585i | ||||
\(155\) | −19.8421 | − | 9.21205i | −1.59376 | − | 0.739929i | ||||
\(156\) | −8.03624 | + | 9.74457i | −0.643414 | + | 0.780190i | ||||
\(157\) | −1.81425 | + | 6.77087i | −0.144793 | + | 0.540374i | 0.854972 | + | 0.518675i | \(0.173574\pi\) |
−0.999765 | + | 0.0216996i | \(0.993092\pi\) | |||||||
\(158\) | −20.4389 | + | 1.07116i | −1.62603 | + | 0.0852167i | ||||
\(159\) | −0.379543 | + | 6.18414i | −0.0300997 | + | 0.490435i | ||||
\(160\) | −0.661728 | − | 18.0796i | −0.0523142 | − | 1.42932i | ||||
\(161\) | 14.1318 | − | 5.36770i | 1.11374 | − | 0.423034i | ||||
\(162\) | −3.59418 | + | 18.4078i | −0.282386 | + | 1.44626i | ||||
\(163\) | 6.40371 | − | 16.6822i | 0.501577 | − | 1.30665i | −0.416097 | − | 0.909320i | \(-0.636602\pi\) |
0.917674 | − | 0.397333i | \(-0.130064\pi\) | |||||||
\(164\) | 6.30196 | + | 2.80582i | 0.492101 | + | 0.219097i | ||||
\(165\) | 2.17933 | + | 5.23961i | 0.169661 | + | 0.407903i | ||||
\(166\) | 26.2887 | − | 11.7045i | 2.04040 | − | 0.908443i | ||||
\(167\) | 6.68672 | + | 3.40706i | 0.517434 | + | 0.263646i | 0.693148 | − | 0.720795i | \(-0.256223\pi\) |
−0.175714 | + | 0.984441i | \(0.556223\pi\) | |||||||
\(168\) | −2.89807 | − | 1.52241i | −0.223591 | − | 0.117456i | ||||
\(169\) | −3.14905 | + | 1.02319i | −0.242234 | + | 0.0787068i | ||||
\(170\) | 29.3063 | + | 10.0360i | 2.24769 | + | 0.769726i | ||||
\(171\) | 10.6541 | + | 9.94347i | 0.814738 | + | 0.760396i | ||||
\(172\) | −21.6302 | − | 14.0468i | −1.64928 | − | 1.07106i | ||||
\(173\) | 2.84485 | − | 3.51310i | 0.216290 | − | 0.267096i | −0.657440 | − | 0.753507i | \(-0.728361\pi\) |
0.873730 | + | 0.486411i | \(0.161694\pi\) | |||||||
\(174\) | 15.3424 | + | 7.99085i | 1.16311 | + | 0.605785i | ||||
\(175\) | 13.1967 | − | 0.920623i | 0.997576 | − | 0.0695925i | ||||
\(176\) | − | 4.68417i | − | 0.353083i | ||||||
\(177\) | 16.0543 | − | 6.97659i | 1.20671 | − | 0.524392i | ||||
\(178\) | 4.32679 | − | 6.66267i | 0.324307 | − | 0.499388i | ||||
\(179\) | 3.92762 | − | 0.834842i | 0.293564 | − | 0.0623990i | −0.0587753 | − | 0.998271i | \(-0.518720\pi\) |
0.352340 | + | 0.935872i | \(0.385386\pi\) | |||||||
\(180\) | 0.528727 | − | 15.7070i | 0.0394090 | − | 1.17073i | ||||
\(181\) | −2.09999 | − | 6.46311i | −0.156091 | − | 0.480399i | 0.842179 | − | 0.539198i | \(-0.181273\pi\) |
−0.998270 | + | 0.0587995i | \(0.981273\pi\) | |||||||
\(182\) | 8.52869 | + | 14.8929i | 0.632188 | + | 1.10394i | ||||
\(183\) | 0.265118 | − | 0.189023i | 0.0195981 | − | 0.0139730i | ||||
\(184\) | 1.66014 | + | 3.72873i | 0.122387 | + | 0.274886i | ||||
\(185\) | 0.479483 | − | 7.02632i | 0.0352523 | − | 0.516585i | ||||
\(186\) | 21.9770 | + | 27.6408i | 1.61143 | + | 2.02672i | ||||
\(187\) | 9.09339 | + | 3.49063i | 0.664975 | + | 0.255260i | ||||
\(188\) | −1.77467 | − | 11.2048i | −0.129431 | − | 0.817196i | ||||
\(189\) | 11.6919 | + | 7.23176i | 0.850464 | + | 0.526033i | ||||
\(190\) | −18.7876 | − | 12.6266i | −1.36300 | − | 0.916030i | ||||
\(191\) | 4.06418 | + | 9.12830i | 0.294074 | + | 0.660500i | 0.998800 | − | 0.0489790i | \(-0.0155968\pi\) |
−0.704726 | + | 0.709480i | \(0.748930\pi\) | |||||||
\(192\) | −7.52164 | + | 16.4955i | −0.542827 | + | 1.19046i | ||||
\(193\) | 0.819733 | + | 0.219647i | 0.0590057 | + | 0.0158105i | 0.288201 | − | 0.957570i | \(-0.406943\pi\) |
−0.229195 | + | 0.973380i | \(0.573609\pi\) | |||||||
\(194\) | −12.8910 | − | 2.74008i | −0.925523 | − | 0.196726i | ||||
\(195\) | −6.81368 | + | 9.94521i | −0.487938 | + | 0.712191i | ||||
\(196\) | −12.2642 | + | 10.8874i | −0.876014 | + | 0.777670i | ||||
\(197\) | 5.89155 | + | 11.5628i | 0.419756 | + | 0.823817i | 0.999956 | + | 0.00934324i | \(0.00297409\pi\) |
−0.580201 | + | 0.814473i | \(0.697026\pi\) | |||||||
\(198\) | 0.642830 | − | 9.13770i | 0.0456839 | − | 0.649388i | ||||
\(199\) | 4.44403 | − | 2.56576i | 0.315029 | − | 0.181882i | −0.334146 | − | 0.942521i | \(-0.608448\pi\) |
0.649175 | + | 0.760639i | \(0.275114\pi\) | |||||||
\(200\) | 0.447188 | + | 3.54370i | 0.0316209 | + | 0.250577i | ||||
\(201\) | 3.65453 | + | 5.73912i | 0.257770 | + | 0.404806i | ||||
\(202\) | −2.61917 | − | 0.414835i | −0.184284 | − | 0.0291877i | ||||
\(203\) | 9.45282 | − | 8.45129i | 0.663458 | − | 0.593164i | ||||
\(204\) | −18.9032 | − | 19.2441i | −1.32349 | − | 1.34736i | ||||
\(205\) | 6.22898 | + | 2.13313i | 0.435051 | + | 0.148984i | ||||
\(206\) | 12.5138 | + | 11.2674i | 0.871875 | + | 0.785040i | ||||
\(207\) | −5.85577 | − | 16.1097i | −0.407004 | − | 1.11970i | ||||
\(208\) | 8.34561 | − | 5.41970i | 0.578664 | − | 0.375789i | ||||
\(209\) | −5.75835 | − | 4.18369i | −0.398314 | − | 0.289392i | ||||
\(210\) | −19.7117 | − | 8.21230i | −1.36024 | − | 0.566702i | ||||
\(211\) | −2.39107 | + | 1.73721i | −0.164608 | + | 0.119595i | −0.667040 | − | 0.745022i | \(-0.732439\pi\) |
0.502432 | + | 0.864617i | \(0.332439\pi\) | |||||||
\(212\) | −3.00330 | + | 7.82386i | −0.206267 | + | 0.537345i | ||||
\(213\) | 1.97007 | + | 9.69365i | 0.134987 | + | 0.664198i | ||||
\(214\) | −6.36014 | + | 14.2851i | −0.434770 | + | 0.976510i | ||||
\(215\) | −21.7541 | − | 11.5201i | −1.48362 | − | 0.785663i | ||||
\(216\) | −1.77324 | + | 3.26099i | −0.120653 | + | 0.221882i | ||||
\(217\) | 24.6455 | − | 7.91201i | 1.67305 | − | 0.537102i | ||||
\(218\) | −23.2235 | − | 23.2235i | −1.57290 | − | 1.57290i | ||||
\(219\) | 16.1911 | + | 13.3526i | 1.09409 | + | 0.902285i | ||||
\(220\) | 0.681816 | + | 7.64543i | 0.0459681 | + | 0.515455i | ||||
\(221\) | 4.30217 | + | 20.2401i | 0.289395 | + | 1.36150i | ||||
\(222\) | −5.77192 | + | 9.79408i | −0.387386 | + | 0.657335i | ||||
\(223\) | −3.35033 | + | 21.1532i | −0.224355 | + | 1.41652i | 0.576223 | + | 0.817293i | \(0.304526\pi\) |
−0.800578 | + | 0.599229i | \(0.795474\pi\) | |||||||
\(224\) | 15.0833 | + | 15.1898i | 1.00779 | + | 1.01491i | ||||
\(225\) | −0.829006 | − | 14.9771i | −0.0552671 | − | 0.998472i | ||||
\(226\) | 3.27553 | − | 5.67338i | 0.217885 | − | 0.377388i | ||||
\(227\) | 21.1582 | − | 8.12189i | 1.40432 | − | 0.539069i | 0.465986 | − | 0.884792i | \(-0.345700\pi\) |
0.938336 | + | 0.345724i | \(0.112367\pi\) | |||||||
\(228\) | 9.70308 | + | 17.1586i | 0.642602 | + | 1.13635i | ||||
\(229\) | −7.44669 | + | 6.70503i | −0.492091 | + | 0.443081i | −0.877437 | − | 0.479691i | \(-0.840749\pi\) |
0.385346 | + | 0.922772i | \(0.374082\pi\) | |||||||
\(230\) | 12.9469 | + | 23.2647i | 0.853694 | + | 1.53403i | ||||
\(231\) | −6.09949 | − | 2.80722i | −0.401317 | − | 0.184702i | ||||
\(232\) | 2.42086 | + | 2.42086i | 0.158937 | + | 0.158937i | ||||
\(233\) | 5.41454 | + | 8.33767i | 0.354719 | + | 0.546219i | 0.970316 | − | 0.241842i | \(-0.0777517\pi\) |
−0.615597 | + | 0.788061i | \(0.711085\pi\) | |||||||
\(234\) | 17.0241 | − | 9.42724i | 1.11290 | − | 0.616278i | ||||
\(235\) | −2.63708 | − | 10.5017i | −0.172024 | − | 0.685053i | ||||
\(236\) | 23.5473 | − | 2.47492i | 1.53280 | − | 0.161104i | ||||
\(237\) | 16.1308 | + | 5.40105i | 1.04781 | + | 0.350836i | ||||
\(238\) | −33.5361 | + | 14.7900i | −2.17382 | + | 0.958693i | ||||
\(239\) | −16.0945 | + | 11.6933i | −1.04107 | + | 0.756379i | −0.970493 | − | 0.241128i | \(-0.922483\pi\) |
−0.0705729 | + | 0.997507i | \(0.522483\pi\) | |||||||
\(240\) | −4.11591 | + | 11.6774i | −0.265681 | + | 0.753774i | ||||
\(241\) | −1.90273 | + | 18.1033i | −0.122566 | + | 1.16613i | 0.744389 | + | 0.667746i | \(0.232741\pi\) |
−0.866955 | + | 0.498387i | \(0.833926\pi\) | |||||||
\(242\) | −0.965565 | − | 18.4241i | −0.0620689 | − | 1.18434i | ||||
\(243\) | 8.38948 | − | 13.1384i | 0.538186 | − | 0.842826i | ||||
\(244\) | 0.418859 | − | 0.136096i | 0.0268147 | − | 0.00871263i | ||||
\(245\) | −10.7362 | + | 11.3901i | −0.685910 | + | 0.727686i | ||||
\(246\) | −7.44776 | − | 7.58209i | −0.474852 | − | 0.483416i | ||||
\(247\) | 0.791362 | − | 15.1001i | 0.0503531 | − | 0.960795i | ||||
\(248\) | 2.50459 | + | 6.52467i | 0.159041 | + | 0.414317i | ||||
\(249\) | −23.8949 | + | 1.03824i | −1.51428 | + | 0.0657959i | ||||
\(250\) | 4.95881 | + | 22.7653i | 0.313623 | + | 1.43980i | ||||
\(251\) | − | 9.53087i | − | 0.601583i | −0.953690 | − | 0.300792i | \(-0.902749\pi\) | ||
0.953690 | − | 0.300792i | \(-0.0972509\pi\) | |||||||
\(252\) | 12.1443 | + | 14.0821i | 0.765016 | + | 0.887086i | ||||
\(253\) | 3.80069 | + | 7.45928i | 0.238948 | + | 0.468961i | ||||
\(254\) | −22.9385 | − | 25.4758i | −1.43929 | − | 1.59850i | ||||
\(255\) | −19.6023 | − | 16.6922i | −1.22754 | − | 1.04531i | ||||
\(256\) | 6.15572 | − | 6.83662i | 0.384732 | − | 0.427289i | ||||
\(257\) | −4.86583 | − | 18.1595i | −0.303522 | − | 1.13276i | −0.934210 | − | 0.356724i | \(-0.883894\pi\) |
0.630688 | − | 0.776037i | \(-0.282773\pi\) | |||||||
\(258\) | 23.0678 | + | 32.3542i | 1.43614 | + | 2.01428i | ||||
\(259\) | 5.22129 | + | 6.49437i | 0.324435 | + | 0.403540i | ||||
\(260\) | −12.8327 | + | 10.0607i | −0.795850 | + | 0.623940i | ||||
\(261\) | −9.42803 | − | 10.8549i | −0.583581 | − | 0.671903i | ||||
\(262\) | −22.1019 | + | 17.8978i | −1.36546 | + | 1.10573i | ||||
\(263\) | 3.62820 | − | 2.93806i | 0.223724 | − | 0.181169i | −0.510905 | − | 0.859637i | \(-0.670689\pi\) |
0.734629 | + | 0.678469i | \(0.237356\pi\) | |||||||
\(264\) | 0.664796 | − | 1.68664i | 0.0409154 | − | 0.103806i | ||||
\(265\) | −2.19184 | + | 7.69255i | −0.134644 | + | 0.472550i | ||||
\(266\) | 26.4686 | − | 4.09676i | 1.62289 | − | 0.251188i | ||||
\(267\) | −5.37631 | + | 3.83318i | −0.329025 | + | 0.234587i | ||||
\(268\) | 2.38192 | + | 8.88946i | 0.145499 | + | 0.543010i | ||||
\(269\) | −17.8577 | + | 19.8330i | −1.08880 | + | 1.20924i | −0.112315 | + | 0.993673i | \(0.535827\pi\) |
−0.976489 | + | 0.215567i | \(0.930840\pi\) | |||||||
\(270\) | −9.63171 | + | 22.2150i | −0.586167 | + | 1.35196i | ||||
\(271\) | 13.7192 | + | 15.2367i | 0.833382 | + | 0.925564i | 0.998152 | − | 0.0607676i | \(-0.0193549\pi\) |
−0.164770 | + | 0.986332i | \(0.552688\pi\) | |||||||
\(272\) | 9.64823 | + | 18.9357i | 0.585010 | + | 1.14815i | ||||
\(273\) | −2.05574 | − | 14.1153i | −0.124419 | − | 0.854295i | ||||
\(274\) | 12.8219i | 0.774599i | ||||||||
\(275\) | 1.29637 | + | 7.21049i | 0.0781739 | + | 0.434809i | ||||
\(276\) | −1.00645 | − | 23.1632i | −0.0605811 | − | 1.39426i | ||||
\(277\) | −0.334428 | − | 0.871215i | −0.0200938 | − | 0.0523462i | 0.923167 | − | 0.384400i | \(-0.125592\pi\) |
−0.943260 | + | 0.332054i | \(0.892258\pi\) | |||||||
\(278\) | 0.860705 | − | 16.4232i | 0.0516217 | − | 0.985000i | ||||
\(279\) | −8.56935 | − | 28.0713i | −0.513034 | − | 1.68058i | ||||
\(280\) | −3.23246 | − | 2.72252i | −0.193176 | − | 0.162702i | ||||
\(281\) | −18.5858 | + | 6.03889i | −1.10874 | + | 0.360250i | −0.805459 | − | 0.592652i | \(-0.798081\pi\) |
−0.303278 | + | 0.952902i | \(0.598081\pi\) | |||||||
\(282\) | −3.78656 | + | 17.0631i | −0.225486 | + | 1.01609i | ||||
\(283\) | −0.484138 | − | 9.23789i | −0.0287790 | − | 0.549136i | −0.974532 | − | 0.224249i | \(-0.928007\pi\) |
0.945753 | − | 0.324887i | \(-0.105326\pi\) | |||||||
\(284\) | −1.39857 | + | 13.3065i | −0.0829899 | + | 0.789596i | ||||
\(285\) | 10.6792 | + | 15.4895i | 0.632579 | + | 0.917521i | ||||
\(286\) | −7.68922 | + | 5.58655i | −0.454673 | + | 0.330339i | ||||
\(287\) | −7.12801 | + | 3.14358i | −0.420753 | + | 0.185559i | ||||
\(288\) | 17.4673 | − | 16.8538i | 1.02927 | − | 0.993122i | ||||
\(289\) | −27.0429 | + | 2.84233i | −1.59076 | + | 0.167196i | ||||
\(290\) | 17.1317 | + | 14.3263i | 1.00601 | + | 0.841270i | ||||
\(291\) | 9.13284 | + | 6.04766i | 0.535377 | + | 0.354520i | ||||
\(292\) | 15.4606 | + | 23.8073i | 0.904764 | + | 1.39321i | ||||
\(293\) | 1.47367 | + | 1.47367i | 0.0860925 | + | 0.0860925i | 0.748842 | − | 0.662749i | \(-0.230610\pi\) |
−0.662749 | + | 0.748842i | \(0.730610\pi\) | |||||||
\(294\) | 23.7299 | − | 8.67666i | 1.38395 | − | 0.506033i | ||||
\(295\) | 22.1759 | − | 4.34919i | 1.29113 | − | 0.253220i | ||||
\(296\) | −1.67203 | + | 1.50550i | −0.0971845 | + | 0.0875053i | ||||
\(297\) | −3.28203 | + | 6.86977i | −0.190443 | + | 0.398625i | ||||
\(298\) | −5.39952 | + | 2.07268i | −0.312786 | + | 0.120067i | ||||
\(299\) | −8.89243 | + | 15.4021i | −0.514262 | + | 0.890729i | ||||
\(300\) | 5.01819 | − | 19.6588i | 0.289726 | − | 1.13500i | ||||
\(301\) | 28.1601 | − | 7.43933i | 1.62312 | − | 0.428796i | ||||
\(302\) | 1.72283 | − | 10.8775i | 0.0991375 | − | 0.625930i | ||||
\(303\) | 1.89883 | + | 1.11903i | 0.109085 | + | 0.0642868i | ||||
\(304\) | −3.22884 | − | 15.1905i | −0.185187 | − | 0.871234i | ||||
\(305\) | 0.386660 | − | 0.164894i | 0.0221401 | − | 0.00944178i | ||||
\(306\) | 16.2228 | + | 38.2631i | 0.927394 | + | 2.18736i | ||||
\(307\) | −19.1335 | − | 19.1335i | −1.09201 | − | 1.09201i | −0.995314 | − | 0.0966950i | \(-0.969173\pi\) |
−0.0966950 | − | 0.995314i | \(-0.530827\pi\) | |||||||
\(308\) | −6.72788 | − | 6.10083i | −0.383356 | − | 0.347627i | ||||
\(309\) | −6.24216 | − | 12.5264i | −0.355104 | − | 0.712603i | ||||
\(310\) | 20.0536 | + | 40.9414i | 1.13897 | + | 2.32531i | ||||
\(311\) | 1.58172 | − | 3.55259i | 0.0896908 | − | 0.201449i | −0.863130 | − | 0.504981i | \(-0.831499\pi\) |
0.952821 | + | 0.303532i | \(0.0981661\pi\) | |||||||
\(312\) | 3.77422 | − | 0.767047i | 0.213673 | − | 0.0434255i | ||||
\(313\) | −3.18761 | + | 8.30400i | −0.180174 | + | 0.469370i | −0.993688 | − | 0.112175i | \(-0.964218\pi\) |
0.813514 | + | 0.581545i | \(0.197552\pi\) | |||||||
\(314\) | 11.8180 | − | 8.58626i | 0.666927 | − | 0.484551i | ||||
\(315\) | 12.7391 | + | 12.3578i | 0.717766 | + | 0.696284i | ||||
\(316\) | 18.6149 | + | 13.5245i | 1.04717 | + | 0.760813i | ||||
\(317\) | 11.5047 | − | 7.47125i | 0.646169 | − | 0.419627i | −0.179519 | − | 0.983755i | \(-0.557454\pi\) |
0.825688 | + | 0.564128i | \(0.190787\pi\) | |||||||
\(318\) | 8.72496 | − | 9.51761i | 0.489272 | − | 0.533721i | ||||
\(319\) | 5.21847 | + | 4.69873i | 0.292178 | + | 0.263079i | ||||
\(320\) | −14.0541 | + | 18.7157i | −0.785650 | + | 1.04624i | ||||
\(321\) | 9.27174 | − | 9.10748i | 0.517498 | − | 0.508330i | ||||
\(322\) | −29.9263 | − | 9.84025i | −1.66773 | − | 0.548376i | ||||
\(323\) | 31.8955 | + | 5.05174i | 1.77471 | + | 0.281087i | ||||
\(324\) | 16.1635 | − | 13.5397i | 0.897975 | − | 0.752205i | ||||
\(325\) | −11.3467 | + | 10.6524i | −0.629404 | + | 0.590890i | ||||
\(326\) | −32.2491 | + | 18.6190i | −1.78611 | + | 1.03121i | ||||
\(327\) | 10.8795 | + | 25.0355i | 0.601638 | + | 1.38447i | ||||
\(328\) | −0.954940 | − | 1.87418i | −0.0527278 | − | 0.103484i | ||||
\(329\) | 10.7200 | + | 7.01543i | 0.591013 | + | 0.386773i | ||||
\(330\) | 3.34208 | − | 11.3438i | 0.183976 | − | 0.624455i | ||||
\(331\) | 6.61084 | + | 1.40518i | 0.363365 | + | 0.0772356i | 0.385976 | − | 0.922509i | \(-0.373865\pi\) |
−0.0226113 | + | 0.999744i | \(0.507198\pi\) | |||||||
\(332\) | −31.2487 | − | 8.37306i | −1.71499 | − | 0.459531i | ||||
\(333\) | 7.44814 | − | 5.81408i | 0.408155 | − | 0.318610i | ||||
\(334\) | −6.36107 | − | 14.2872i | −0.348062 | − | 0.781761i | ||||
\(335\) | 3.01808 | + | 8.24902i | 0.164895 | + | 0.450692i | ||||
\(336\) | −5.79154 | − | 13.4567i | −0.315954 | − | 0.734122i | ||||
\(337\) | −1.73611 | − | 10.9614i | −0.0945722 | − | 0.597105i | −0.988771 | − | 0.149436i | \(-0.952254\pi\) |
0.894199 | − | 0.447669i | \(-0.147746\pi\) | |||||||
\(338\) | 6.44183 | + | 2.47279i | 0.350389 | + | 0.134502i | ||||
\(339\) | −4.26191 | + | 3.38861i | −0.231475 | + | 0.184044i | ||||
\(340\) | −18.5039 | − | 29.5022i | −1.00352 | − | 1.59998i | ||||
\(341\) | 5.83049 | + | 13.0955i | 0.315739 | + | 0.709161i | ||||
\(342\) | −4.21403 | − | 30.0761i | −0.227869 | − | 1.62633i | ||||
\(343\) | 0.195573 | − | 18.5192i | 0.0105600 | − | 0.999944i | ||||
\(344\) | 2.43016 | + | 7.47925i | 0.131025 | + | 0.403254i | ||||
\(345\) | −2.92059 | − | 21.9353i | −0.157239 | − | 1.18096i | ||||
\(346\) | −9.21460 | + | 1.95862i | −0.495380 | + | 0.105296i | ||||
\(347\) | 18.3627 | − | 28.2760i | 0.985760 | − | 1.51794i | 0.136040 | − | 0.990703i | \(-0.456563\pi\) |
0.849720 | − | 0.527234i | \(-0.176771\pi\) | |||||||
\(348\) | −7.75089 | − | 17.8361i | −0.415491 | − | 0.956114i | ||||
\(349\) | − | 15.9633i | − | 0.854498i | −0.904134 | − | 0.427249i | \(-0.859483\pi\) | ||
0.904134 | − | 0.427249i | \(-0.140517\pi\) | |||||||
\(350\) | −22.5797 | − | 15.8160i | −1.20694 | − | 0.845401i | ||||
\(351\) | −16.0370 | + | 2.10103i | −0.855993 | + | 0.112145i | ||||
\(352\) | −7.46053 | + | 9.21299i | −0.397648 | + | 0.491054i | ||||
\(353\) | 0.420624 | + | 0.273157i | 0.0223876 | + | 0.0145387i | 0.555784 | − | 0.831327i | \(-0.312418\pi\) |
−0.533397 | + | 0.845865i | \(0.679085\pi\) | |||||||
\(354\) | −35.1498 | − | 9.75586i | −1.86819 | − | 0.518518i | ||||
\(355\) | −0.201448 | + | 12.7687i | −0.0106918 | + | 0.677692i | ||||
\(356\) | −8.49401 | + | 2.75987i | −0.450182 | + | 0.146273i | ||||
\(357\) | 30.4393 | − | 1.21527i | 1.61102 | − | 0.0643187i | ||||
\(358\) | −7.45574 | − | 3.79889i | −0.394048 | − | 0.200778i | ||||
\(359\) | −18.6186 | + | 8.28951i | −0.982650 | + | 0.437504i | −0.834228 | − | 0.551420i | \(-0.814086\pi\) |
−0.148422 | + | 0.988924i | \(0.547419\pi\) | |||||||
\(360\) | −3.13934 | + | 3.62058i | −0.165458 | + | 0.190821i | ||||
\(361\) | −4.20049 | − | 1.87018i | −0.221078 | − | 0.0984304i | ||||
\(362\) | −5.07515 | + | 13.2212i | −0.266744 | + | 0.694892i | ||||
\(363\) | −4.86863 | + | 14.5406i | −0.255537 | + | 0.763186i | ||||
\(364\) | 3.08529 | − | 19.0456i | 0.161713 | − | 0.998262i | ||||
\(365\) | 16.7164 | + | 21.3221i | 0.874975 | + | 1.11605i | ||||
\(366\) | −0.677262 | − | 0.0415660i | −0.0354011 | − | 0.00217269i | ||||
\(367\) | 22.8538 | − | 1.19772i | 1.19296 | − | 0.0625202i | 0.554504 | − | 0.832181i | \(-0.312908\pi\) |
0.638453 | + | 0.769661i | \(0.279575\pi\) | |||||||
\(368\) | −4.72758 | + | 17.6436i | −0.246442 | + | 0.919735i | ||||
\(369\) | 3.44811 | + | 8.13273i | 0.179501 | + | 0.423373i | ||||
\(370\) | −9.99130 | + | 10.7505i | −0.519423 | + | 0.558890i | ||||
\(371\) | −4.26695 | − | 8.44775i | −0.221529 | − | 0.438585i | ||||
\(372\) | 0.354781 | − | 39.6978i | 0.0183945 | − | 2.05823i | ||||
\(373\) | −7.25516 | − | 5.87511i | −0.375658 | − | 0.304202i | 0.422834 | − | 0.906207i | \(-0.361035\pi\) |
−0.798492 | + | 0.602005i | \(0.794369\pi\) | |||||||
\(374\) | −10.1491 | − | 17.5788i | −0.524799 | − | 0.908978i | ||||
\(375\) | 3.10397 | − | 19.1145i | 0.160288 | − | 0.987070i | ||||
\(376\) | −1.72957 | + | 2.99571i | −0.0891960 | + | 0.154492i | ||||
\(377\) | −2.33365 | + | 14.7341i | −0.120189 | + | 0.758846i | ||||
\(378\) | −9.45119 | − | 27.0456i | −0.486117 | − | 1.39107i | ||||
\(379\) | −5.45202 | − | 1.77147i | −0.280051 | − | 0.0909942i | 0.165624 | − | 0.986189i | \(-0.447036\pi\) |
−0.445675 | + | 0.895195i | \(0.647036\pi\) | |||||||
\(380\) | 7.48115 | + | 24.3237i | 0.383775 | + | 1.24778i | ||||
\(381\) | 9.97268 | + | 26.6902i | 0.510916 | + | 1.36738i | ||||
\(382\) | 5.38940 | − | 20.1135i | 0.275746 | − | 1.02910i | ||||
\(383\) | −7.08354 | − | 10.9077i | −0.361952 | − | 0.557357i | 0.610040 | − | 0.792370i | \(-0.291153\pi\) |
−0.971992 | + | 0.235013i | \(0.924487\pi\) | |||||||
\(384\) | 8.72928 | − | 4.34997i | 0.445464 | − | 0.221983i | ||||
\(385\) | −6.91324 | − | 5.22949i | −0.352331 | − | 0.266520i | ||||
\(386\) | −1.03952 | − | 1.43077i | −0.0529101 | − | 0.0728245i | ||||
\(387\) | −7.97623 | − | 32.0483i | −0.405455 | − | 1.62911i | ||||
\(388\) | 9.32406 | + | 11.5143i | 0.473357 | + | 0.584548i | ||||
\(389\) | −8.68371 | − | 3.86624i | −0.440281 | − | 0.196026i | 0.174610 | − | 0.984638i | \(-0.444134\pi\) |
−0.614891 | + | 0.788612i | \(0.710800\pi\) | |||||||
\(390\) | 24.0777 | − | 7.17060i | 1.21922 | − | 0.363097i | ||||
\(391\) | −30.7286 | − | 22.3256i | −1.55401 | − | 1.12905i | ||||
\(392\) | 4.99539 | − | 0.226545i | 0.252305 | − | 0.0114423i | ||||
\(393\) | 22.5451 | − | 7.10322i | 1.13725 | − | 0.358310i | ||||
\(394\) | 5.62272 | − | 26.4528i | 0.283268 | − | 1.33267i | ||||
\(395\) | 18.8433 | + | 11.2792i | 0.948107 | + | 0.567517i | ||||
\(396\) | −7.02647 | + | 7.52862i | −0.353093 | + | 0.378327i | ||||
\(397\) | −1.19148 | + | 22.7348i | −0.0597986 | + | 1.14102i | 0.789721 | + | 0.613467i | \(0.210226\pi\) |
−0.849519 | + | 0.527558i | \(0.823108\pi\) | |||||||
\(398\) | −10.5621 | − | 1.67288i | −0.529431 | − | 0.0838537i | ||||
\(399\) | −21.7153 | − | 4.89923i | −1.08713 | − | 0.245268i | ||||
\(400\) | −8.42497 | + | 13.5840i | −0.421248 | + | 0.679200i | ||||
\(401\) | −24.1378 | − | 13.9360i | −1.20539 | − | 0.695930i | −0.243638 | − | 0.969866i | \(-0.578341\pi\) |
−0.961748 | + | 0.273936i | \(0.911674\pi\) | |||||||
\(402\) | 1.60806 | − | 14.0874i | 0.0802026 | − | 0.702617i | ||||
\(403\) | −16.5857 | + | 25.5398i | −0.826194 | + | 1.27223i | ||||
\(404\) | 1.99482 | + | 2.21547i | 0.0992460 | + | 0.110224i | ||||
\(405\) | 14.2183 | − | 14.2422i | 0.706515 | − | 0.707699i | ||||
\(406\) | −26.3926 | + | 1.29004i | −1.30984 | + | 0.0640235i | ||||
\(407\) | −3.26317 | + | 3.26317i | −0.161749 | + | 0.161749i | ||||
\(408\) | 0.786635 | + | 8.18756i | 0.0389443 | + | 0.405344i | ||||
\(409\) | 24.3094 | + | 2.55503i | 1.20202 | + | 0.126338i | 0.684294 | − | 0.729206i | \(-0.260110\pi\) |
0.517730 | + | 0.855544i | \(0.326777\pi\) | |||||||
\(410\) | −7.29046 | − | 11.6237i | −0.360050 | − | 0.574055i | ||||
\(411\) | 3.90783 | − | 9.91449i | 0.192759 | − | 0.489046i | ||||
\(412\) | −2.96139 | − | 18.6975i | −0.145897 | − | 0.921160i | ||||
\(413\) | −15.7927 | + | 21.5767i | −0.777109 | + | 1.06172i | ||||
\(414\) | −11.6437 | + | 33.7696i | −0.572256 | + | 1.65969i | ||||
\(415\) | −30.4171 | − | 5.31075i | −1.49312 | − | 0.260695i | ||||
\(416\) | −25.0465 | − | 2.63249i | −1.22800 | − | 0.129068i | ||||
\(417\) | −5.67097 | + | 12.4369i | −0.277709 | + | 0.609037i | ||||
\(418\) | 3.83903 | + | 14.3275i | 0.187773 | + | 0.700779i | ||||
\(419\) | 10.6879 | + | 32.8940i | 0.522139 | + | 1.60698i | 0.769905 | + | 0.638159i | \(0.220304\pi\) |
−0.247765 | + | 0.968820i | \(0.579696\pi\) | |||||||
\(420\) | 11.4116 | + | 21.1208i | 0.556828 | + | 1.03059i | ||||
\(421\) | 4.36391 | − | 13.4307i | 0.212684 | − | 0.654574i | −0.786626 | − | 0.617430i | \(-0.788174\pi\) |
0.999310 | − | 0.0371443i | \(-0.0118261\pi\) | |||||||
\(422\) | 6.15068 | + | 0.322344i | 0.299411 | + | 0.0156914i | ||||
\(423\) | 8.12839 | − | 12.0399i | 0.395216 | − | 0.585401i | ||||
\(424\) | 2.21301 | − | 1.27768i | 0.107473 | − | 0.0620498i | ||||
\(425\) | −20.0924 | − | 26.4782i | −0.974624 | − | 1.28438i | ||||
\(426\) | 9.52230 | − | 18.2828i | 0.461357 | − | 0.885803i | ||||
\(427\) | −0.203896 | + | 0.453652i | −0.00986719 | + | 0.0219538i | ||||
\(428\) | 15.6633 | − | 7.98086i | 0.757115 | − | 0.385770i | ||||
\(429\) | 7.64832 | − | 1.97627i | 0.369264 | − | 0.0954154i | ||||
\(430\) | 20.1231 | + | 47.1867i | 0.970421 | + | 2.27555i | ||||
\(431\) | −2.07214 | − | 1.86577i | −0.0998116 | − | 0.0898708i | 0.617714 | − | 0.786403i | \(-0.288059\pi\) |
−0.717526 | + | 0.696532i | \(0.754725\pi\) | |||||||
\(432\) | −15.3511 | + | 6.34731i | −0.738581 | + | 0.305385i | ||||
\(433\) | 2.30249 | + | 1.17318i | 0.110651 | + | 0.0563793i | 0.508440 | − | 0.861098i | \(-0.330222\pi\) |
−0.397789 | + | 0.917477i | \(0.630222\pi\) | |||||||
\(434\) | −50.2903 | − | 19.5080i | −2.41401 | − | 0.936415i | ||||
\(435\) | −8.88071 | − | 16.2991i | −0.425797 | − | 0.781484i | ||||
\(436\) | 3.85947 | + | 36.7204i | 0.184835 | + | 1.75859i | ||||
\(437\) | 17.4672 | + | 21.5702i | 0.835568 | + | 1.03184i | ||||
\(438\) | −8.71035 | − | 42.8588i | −0.416197 | − | 2.04787i | ||||
\(439\) | 28.9527 | − | 3.04305i | 1.38184 | − | 0.145237i | 0.615733 | − | 0.787955i | \(-0.288860\pi\) |
0.766103 | + | 0.642718i | \(0.222193\pi\) | |||||||
\(440\) | 1.30552 | − | 1.94254i | 0.0622384 | − | 0.0926071i | ||||
\(441\) | −20.9935 | − | 0.523134i | −0.999690 | − | 0.0249112i | ||||
\(442\) | 19.5767 | − | 38.4215i | 0.931169 | − | 1.82752i | ||||
\(443\) | −9.16713 | + | 2.45633i | −0.435544 | + | 0.116704i | −0.469927 | − | 0.882705i | \(-0.655720\pi\) |
0.0343837 | + | 0.999409i | \(0.489053\pi\) | |||||||
\(444\) | 11.9720 | − | 4.47329i | 0.568168 | − | 0.212293i | ||||
\(445\) | −7.84104 | + | 3.34386i | −0.371701 | + | 0.158514i | ||||
\(446\) | 33.1676 | − | 29.8642i | 1.57053 | − | 1.41411i | ||||
\(447\) | 4.80686 | + | 0.0429592i | 0.227357 | + | 0.00203190i | ||||
\(448\) | −2.79776 | − | 27.5515i | −0.132182 | − | 1.30169i | ||||
\(449\) | 21.9332 | 1.03509 | 0.517547 | − | 0.855655i | \(-0.326845\pi\) | ||||
0.517547 | + | 0.855655i | \(0.326845\pi\) | |||||||
\(450\) | −18.2993 | + | 25.3429i | −0.862637 | + | 1.19468i | ||||
\(451\) | −2.15717 | − | 3.73633i | −0.101577 | − | 0.175937i | ||||
\(452\) | −6.87563 | + | 2.63931i | −0.323402 | + | 0.124143i | ||||
\(453\) | −4.64739 | + | 7.88591i | −0.218353 | + | 0.370512i | ||||
\(454\) | −44.9178 | − | 14.5947i | −2.10810 | − | 0.684963i | ||||
\(455\) | 1.31840 | − | 18.3677i | 0.0618077 | − | 0.861092i | ||||
\(456\) | 0.993277 | − | 5.92793i | 0.0465145 | − | 0.277601i | ||||
\(457\) | 31.7151 | − | 8.49803i | 1.48357 | − | 0.397521i | 0.576009 | − | 0.817443i | \(-0.304609\pi\) |
0.907560 | + | 0.419922i | \(0.137943\pi\) | |||||||
\(458\) | 20.8535 | − | 1.09288i | 0.974419 | − | 0.0510671i | ||||
\(459\) | −0.882444 | − | 34.5312i | −0.0411890 | − | 1.61178i | ||||
\(460\) | 5.14813 | − | 29.4857i | 0.240033 | − | 1.37478i | ||||
\(461\) | −10.6309 | − | 14.6322i | −0.495130 | − | 0.681489i | 0.486193 | − | 0.873851i | \(-0.338385\pi\) |
−0.981324 | + | 0.192363i | \(0.938385\pi\) | |||||||
\(462\) | 6.19669 | + | 12.5456i | 0.288296 | + | 0.583675i | ||||
\(463\) | 11.1872 | − | 1.77187i | 0.519912 | − | 0.0823459i | 0.109037 | − | 0.994038i | \(-0.465223\pi\) |
0.410875 | + | 0.911692i | \(0.365223\pi\) | |||||||
\(464\) | 1.60152 | + | 15.2374i | 0.0743485 | + | 0.707379i | ||||
\(465\) | −3.02832 | − | 37.7697i | −0.140435 | − | 1.75153i | ||||
\(466\) | 2.16557 | − | 20.6040i | 0.100318 | − | 0.954463i | ||||
\(467\) | 34.5648 | − | 22.4466i | 1.59947 | − | 1.03871i | 0.635710 | − | 0.771928i | \(-0.280707\pi\) |
0.963758 | − | 0.266779i | \(-0.0859593\pi\) | |||||||
\(468\) | −21.5433 | − | 3.80800i | −0.995838 | − | 0.176025i | ||||
\(469\) | −9.24368 | − | 4.75095i | −0.426834 | − | 0.219378i | ||||
\(470\) | −9.50174 | + | 20.4661i | −0.438283 | + | 0.944032i | ||||
\(471\) | −11.7551 | + | 3.03744i | −0.541647 | + | 0.139958i | ||||
\(472\) | −6.05483 | − | 3.93205i | −0.278696 | − | 0.180987i | ||||
\(473\) | 5.78051 | + | 15.0587i | 0.265788 | + | 0.692402i | ||||
\(474\) | −19.0409 | − | 29.9021i | −0.874576 | − | 1.37345i | ||||
\(475\) | 9.17430 | + | 22.4896i | 0.420946 | + | 1.03189i | ||||
\(476\) | 39.7636 | + | 10.8048i | 1.82256 | + | 0.495236i | ||||
\(477\) | −9.64730 | + | 4.70028i | −0.441720 | + | 0.215211i | ||||
\(478\) | 41.4008 | + | 2.16972i | 1.89363 | + | 0.0992409i | ||||
\(479\) | −16.7225 | + | 3.55448i | −0.764071 | + | 0.162408i | −0.573434 | − | 0.819252i | \(-0.694389\pi\) |
−0.190638 | + | 0.981660i | \(0.561056\pi\) | |||||||
\(480\) | 26.6941 | − | 16.4121i | 1.21841 | − | 0.749107i | ||||
\(481\) | −9.58944 | − | 2.03830i | −0.437241 | − | 0.0929384i | ||||
\(482\) | 26.8233 | − | 26.8233i | 1.22177 | − | 1.22177i | ||||
\(483\) | 20.1413 | + | 16.7298i | 0.916463 | + | 0.761233i | ||||
\(484\) | −12.1913 | + | 16.7799i | −0.554149 | + | 0.762721i | ||||
\(485\) | 9.84031 | + | 10.1558i | 0.446825 | + | 0.461150i | ||||
\(486\) | −30.8175 | + | 10.2754i | −1.39791 | + | 0.466101i | ||||
\(487\) | −29.0024 | + | 23.4857i | −1.31423 | + | 1.06424i | −0.321118 | + | 0.947039i | \(0.604059\pi\) |
−0.993108 | + | 0.117200i | \(0.962608\pi\) | |||||||
\(488\) | −0.125371 | − | 0.0481254i | −0.00567528 | − | 0.00217854i | ||||
\(489\) | 30.6112 | − | 4.56829i | 1.38428 | − | 0.206585i | ||||
\(490\) | 32.3252 | − | 4.36638i | 1.46030 | − | 0.197253i | ||||
\(491\) | −3.80631 | + | 5.23894i | −0.171776 | + | 0.236430i | −0.886222 | − | 0.463261i | \(-0.846679\pi\) |
0.714445 | + | 0.699691i | \(0.246679\pi\) | |||||||
\(492\) | 1.14270 | + | 11.8935i | 0.0515167 | + | 0.536202i | ||||
\(493\) | −30.7739 | − | 8.24583i | −1.38599 | − | 0.371374i | ||||
\(494\) | −21.0848 | + | 23.4171i | −0.948652 | + | 1.05358i | ||||
\(495\) | −6.04159 | + | 7.75296i | −0.271549 | + | 0.348470i | ||||
\(496\) | −9.66498 | + | 29.7457i | −0.433970 | + | 1.33562i | ||||
\(497\) | −10.0710 | − | 11.2644i | −0.451745 | − | 0.505279i | ||||
\(498\) | 40.0599 | + | 29.6558i | 1.79513 | + | 1.32891i | ||||
\(499\) | 8.93936 | + | 5.16114i | 0.400181 | + | 0.231044i | 0.686562 | − | 0.727071i | \(-0.259119\pi\) |
−0.286381 | + | 0.958116i | \(0.592452\pi\) | |||||||
\(500\) | 11.7739 | − | 23.3979i | 0.526543 | − | 1.04639i | ||||
\(501\) | 0.564257 | + | 12.9862i | 0.0252091 | + | 0.580182i | ||||
\(502\) | −12.4994 | + | 15.4355i | −0.557875 | + | 0.688919i | ||||
\(503\) | −16.9685 | + | 8.64588i | −0.756588 | + | 0.385501i | −0.789335 | − | 0.613963i | \(-0.789575\pi\) |
0.0327468 | + | 0.999464i | \(0.489575\pi\) | |||||||
\(504\) | −0.175552 | − | 5.66735i | −0.00781972 | − | 0.252444i | ||||
\(505\) | 2.08425 | + | 1.93706i | 0.0927478 | + | 0.0861983i | ||||
\(506\) | 3.62727 | − | 17.0650i | 0.161252 | − | 0.758630i | ||||
\(507\) | −4.22747 | − | 3.87540i | −0.187749 | − | 0.172113i | ||||
\(508\) | 2.01699 | + | 38.4865i | 0.0894896 | + | 1.70756i | ||||
\(509\) | 23.9314 | − | 10.6549i | 1.06074 | − | 0.472272i | 0.199199 | − | 0.979959i | \(-0.436166\pi\) |
0.861542 | + | 0.507687i | \(0.169499\pi\) | |||||||
\(510\) | 9.85507 | + | 52.7411i | 0.436390 | + | 2.33541i | ||||
\(511\) | −31.6452 | − | 5.12636i | −1.39990 | − | 0.226777i | ||||
\(512\) | −30.0585 | + | 4.76081i | −1.32841 | + | 0.210400i | ||||
\(513\) | −5.90804 | + | 24.5406i | −0.260847 | + | 1.08349i | ||||
\(514\) | −15.9353 | + | 35.7912i | −0.702874 | + | 1.57868i | ||||
\(515\) | −4.40050 | − | 17.5241i | −0.193909 | − | 0.772205i | ||||
\(516\) | 2.73649 | − | 44.5874i | 0.120467 | − | 1.96285i | ||||
\(517\) | −3.22108 | + | 6.32172i | −0.141663 | + | 0.278029i | ||||
\(518\) | 0.0611270 | − | 17.3653i | 0.00268577 | − | 0.762988i | ||||
\(519\) | 7.72210 | + | 1.29390i | 0.338963 | + | 0.0567961i | ||||
\(520\) | 4.97148 | + | 0.0784338i | 0.218014 | + | 0.00343955i | ||||
\(521\) | 2.22353 | + | 10.4609i | 0.0974148 | + | 0.458301i | 0.999635 | + | 0.0270245i | \(0.00860322\pi\) |
−0.902220 | + | 0.431276i | \(0.858063\pi\) | |||||||
\(522\) | 1.03308 | + | 29.9443i | 0.0452166 | + | 1.31063i | ||||
\(523\) | −13.2320 | − | 10.7151i | −0.578597 | − | 0.468539i | 0.294792 | − | 0.955561i | \(-0.404750\pi\) |
−0.873389 | + | 0.487023i | \(0.838083\pi\) | |||||||
\(524\) | 31.9725 | 1.39672 | ||||||||
\(525\) | 12.6393 | + | 19.1115i | 0.551625 | + | 0.834092i | ||||
\(526\) | −9.72912 | −0.424210 | ||||||||
\(527\) | −50.5432 | − | 40.9291i | −2.20170 | − | 1.78290i | ||||
\(528\) | 7.06223 | − | 3.99366i | 0.307344 | − | 0.173802i | ||||
\(529\) | −2.00546 | − | 9.43496i | −0.0871941 | − | 0.410216i | ||||
\(530\) | 13.6382 | − | 9.58374i | 0.592407 | − | 0.416291i | ||||
\(531\) | 24.2061 | + | 18.2566i | 1.05046 | + | 0.792268i | ||||
\(532\) | −26.0235 | − | 15.1470i | −1.12826 | − | 0.656708i | ||||
\(533\) | 4.16098 | − | 8.16638i | 0.180232 | − | 0.353725i | ||||
\(534\) | 13.7341 | + | 0.842913i | 0.594334 | + | 0.0364764i | ||||
\(535\) | 14.2141 | − | 8.91513i | 0.614528 | − | 0.385435i | ||||
\(536\) | 1.14138 | − | 2.56357i | 0.0492999 | − | 0.110729i | ||||
\(537\) | 4.60731 | + | 5.20982i | 0.198820 | + | 0.224820i | ||||
\(538\) | 54.9313 | − | 8.70026i | 2.36825 | − | 0.375095i | ||||
\(539\) | 10.2076 | − | 1.00026i | 0.439675 | − | 0.0430844i | ||||
\(540\) | 24.1320 | − | 12.5945i | 1.03847 | − | 0.541979i | ||||
\(541\) | 7.76771 | − | 3.45841i | 0.333960 | − | 0.148688i | −0.232905 | − | 0.972500i | \(-0.574823\pi\) |
0.566864 | + | 0.823811i | \(0.308156\pi\) | |||||||
\(542\) | −2.23616 | − | 42.6684i | −0.0960512 | − | 1.83277i | ||||
\(543\) | 7.95387 | − | 8.67647i | 0.341333 | − | 0.372343i | ||||
\(544\) | 11.1827 | − | 52.6103i | 0.479453 | − | 2.25565i | ||||
\(545\) | 6.78226 | + | 34.5818i | 0.290520 | + | 1.48132i | ||||
\(546\) | −15.1823 | + | 25.5560i | −0.649744 | + | 1.09370i | ||||
\(547\) | 1.92083 | − | 0.978710i | 0.0821286 | − | 0.0418466i | −0.412444 | − | 0.910983i | \(-0.635325\pi\) |
0.494572 | + | 0.869136i | \(0.335325\pi\) | |||||||
\(548\) | 9.07139 | − | 11.2022i | 0.387510 | − | 0.478536i | ||||
\(549\) | 0.511022 | + | 0.238555i | 0.0218099 | + | 0.0101813i | ||||
\(550\) | 7.35680 | − | 13.3777i | 0.313695 | − | 0.570427i | ||||
\(551\) | 20.1621 | + | 11.6406i | 0.858934 | + | 0.495906i | ||||
\(552\) | −4.20632 | + | 5.68202i | −0.179033 | + | 0.241843i | ||||
\(553\) | −25.4357 | + | 5.31302i | −1.08164 | + | 0.225933i | ||||
\(554\) | −0.600953 | + | 1.84954i | −0.0255321 | + | 0.0785796i | ||||
\(555\) | 11.0022 | − | 5.26763i | 0.467019 | − | 0.223599i | ||||
\(556\) | −12.3713 | + | 13.7397i | −0.524659 | + | 0.582693i | ||||
\(557\) | 4.37542 | + | 1.17239i | 0.185393 | + | 0.0496758i | 0.350321 | − | 0.936630i | \(-0.386073\pi\) |
−0.164928 | + | 0.986306i | \(0.552739\pi\) | |||||||
\(558\) | −22.9362 | + | 56.7005i | −0.970967 | + | 2.40032i | ||||
\(559\) | −20.1414 | + | 27.7223i | −0.851891 | + | 1.17253i | ||||
\(560\) | −3.57459 | − | 18.5723i | −0.151054 | − | 0.784822i | ||||
\(561\) | 2.49015 | + | 16.6860i | 0.105134 | + | 0.704483i | ||||
\(562\) | 38.0199 | + | 14.5945i | 1.60377 | + | 0.615631i | ||||
\(563\) | 8.61992 | − | 6.98027i | 0.363286 | − | 0.294183i | −0.430246 | − | 0.902712i | \(-0.641573\pi\) |
0.793532 | + | 0.608528i | \(0.208240\pi\) | |||||||
\(564\) | 15.3802 | − | 12.2287i | 0.647625 | − | 0.514922i | ||||
\(565\) | −6.31271 | + | 3.09203i | −0.265578 | + | 0.130083i | ||||
\(566\) | −11.3311 | + | 15.5959i | −0.476281 | + | 0.655545i | ||||
\(567\) | −0.934784 | + | 23.7934i | −0.0392572 | + | 0.999229i | ||||
\(568\) | 2.88482 | − | 2.88482i | 0.121044 | − | 0.121044i | ||||
\(569\) | 29.1253 | + | 6.19078i | 1.22100 | + | 0.259531i | 0.772943 | − | 0.634475i | \(-0.218784\pi\) |
0.448054 | + | 0.894006i | \(0.352117\pi\) | |||||||
\(570\) | 3.01881 | − | 39.0910i | 0.126444 | − | 1.63734i | ||||
\(571\) | −21.7877 | + | 4.63112i | −0.911788 | + | 0.193807i | −0.639842 | − | 0.768506i | \(-0.721000\pi\) |
−0.271946 | + | 0.962313i | \(0.587667\pi\) | |||||||
\(572\) | 10.6703 | + | 0.559209i | 0.446150 | + | 0.0233817i | ||||
\(573\) | −10.2975 | + | 13.9101i | −0.430184 | + | 0.581104i | ||||
\(574\) | 15.6667 | + | 4.25703i | 0.653914 | + | 0.177685i | ||||
\(575\) | 2.39437 | − | 28.4677i | 0.0998521 | − | 1.18719i | ||||
\(576\) | −31.2828 | + | 2.72364i | −1.30345 | + | 0.113485i | ||||
\(577\) | −2.94464 | − | 7.67106i | −0.122587 | − | 0.319350i | 0.858531 | − | 0.512762i | \(-0.171378\pi\) |
−0.981118 | + | 0.193412i | \(0.938045\pi\) | |||||||
\(578\) | 47.5243 | + | 30.8626i | 1.97675 | + | 1.28372i | ||||
\(579\) | 0.367736 | + | 1.42316i | 0.0152826 | + | 0.0591446i | ||||
\(580\) | −4.83189 | − | 24.6372i | −0.200633 | − | 1.02300i | ||||
\(581\) | 30.7103 | − | 19.7901i | 1.27408 | − | 0.821033i | ||||
\(582\) | −6.85957 | − | 21.7717i | −0.284338 | − | 0.902467i | ||||
\(583\) | 4.39572 | − | 2.85461i | 0.182052 | − | 0.118226i | ||||
\(584\) | 0.904766 | − | 8.60827i | 0.0374395 | − | 0.356213i | ||||
\(585\) | −20.8034 | − | 1.79371i | −0.860116 | − | 0.0741606i | ||||
\(586\) | −0.453976 | − | 4.31930i | −0.0187536 | − | 0.178428i | ||||
\(587\) | −17.0566 | + | 2.70150i | −0.704000 | + | 0.111503i | −0.498163 | − | 0.867084i | \(-0.665992\pi\) |
−0.205837 | + | 0.978586i | \(0.565992\pi\) | |||||||
\(588\) | −26.8710 | − | 9.20806i | −1.10814 | − | 0.379734i | ||||
\(589\) | 27.9348 | + | 38.4489i | 1.15103 | + | 1.58426i | ||||
\(590\) | −41.6183 | − | 22.0393i | −1.71340 | − | 0.907345i | ||||
\(591\) | −12.4100 | + | 18.7409i | −0.510478 | + | 0.770896i | ||||
\(592\) | −10.0551 | + | 0.526965i | −0.413261 | + | 0.0216581i | ||||
\(593\) | −20.2412 | + | 5.42361i | −0.831205 | + | 0.222721i | −0.649240 | − | 0.760584i | \(-0.724913\pi\) |
−0.181966 | + | 0.983305i | \(0.558246\pi\) | |||||||
\(594\) | 14.3248 | − | 6.82149i | 0.587753 | − | 0.279889i | ||||
\(595\) | 38.7182 | + | 6.90063i | 1.58729 | + | 0.282898i | ||||
\(596\) | 6.18385 | + | 2.00925i | 0.253300 | + | 0.0823023i | ||||
\(597\) | 7.65727 | + | 4.51264i | 0.313391 | + | 0.184690i | ||||
\(598\) | 34.6008 | − | 13.2820i | 1.41493 | − | 0.543142i | ||||
\(599\) | 4.39332 | + | 7.60946i | 0.179506 | + | 0.310914i | 0.941712 | − | 0.336421i | \(-0.109217\pi\) |
−0.762205 | + | 0.647335i | \(0.775883\pi\) | |||||||
\(600\) | −4.96150 | + | 3.69552i | −0.202552 | + | 0.150869i | ||||
\(601\) | −14.7311 | −0.600895 | −0.300447 | − | 0.953798i | \(-0.597136\pi\) | ||||
−0.300447 | + | 0.953798i | \(0.597136\pi\) | |||||||
\(602\) | −55.3623 | − | 24.8828i | −2.25640 | − | 1.01415i | ||||
\(603\) | −5.53696 | + | 10.4029i | −0.225482 | + | 0.423641i | ||||
\(604\) | −9.20094 | + | 8.28456i | −0.374381 | + | 0.337094i | ||||
\(605\) | −10.1673 | + | 16.9857i | −0.413360 | + | 0.690568i | ||||
\(606\) | −1.60763 | − | 4.30255i | −0.0653053 | − | 0.174779i | ||||
\(607\) | 8.20145 | − | 2.19757i | 0.332886 | − | 0.0891967i | −0.0885044 | − | 0.996076i | \(-0.528209\pi\) |
0.421391 | + | 0.906879i | \(0.361542\pi\) | |||||||
\(608\) | −17.8435 | + | 35.0198i | −0.723649 | + | 1.42024i | ||||
\(609\) | 20.8012 | + | 7.04636i | 0.842906 | + | 0.285533i | ||||
\(610\) | −0.842456 | − | 0.240041i | −0.0341101 | − | 0.00971900i | ||||
\(611\) | −14.9900 | + | 1.57552i | −0.606432 | + | 0.0637386i | ||||
\(612\) | 12.8974 | − | 44.9072i | 0.521345 | − | 1.81527i | ||||
\(613\) | 8.62999 | + | 10.6572i | 0.348562 | + | 0.430438i | 0.921032 | − | 0.389488i | \(-0.127348\pi\) |
−0.572470 | + | 0.819926i | \(0.694015\pi\) | |||||||
\(614\) | 5.89426 | + | 56.0802i | 0.237873 | + | 2.26321i | ||||
\(615\) | 2.09467 | + | 11.2100i | 0.0844652 | + | 0.452030i | ||||
\(616\) | 0.423583 | + | 2.73671i | 0.0170666 | + | 0.110265i | ||||
\(617\) | 23.1151 | + | 11.7777i | 0.930577 | + | 0.474153i | 0.852461 | − | 0.522791i | \(-0.175109\pi\) |
0.0781167 | + | 0.996944i | \(0.475109\pi\) | |||||||
\(618\) | −6.31863 | + | 28.4732i | −0.254173 | + | 1.14536i | ||||
\(619\) | 2.91929 | + | 2.62854i | 0.117336 | + | 0.105650i | 0.725710 | − | 0.688000i | \(-0.241511\pi\) |
−0.608374 | + | 0.793650i | \(0.708178\pi\) | |||||||
\(620\) | 11.4453 | − | 49.9574i | 0.459655 | − | 2.00634i | ||||
\(621\) | 19.2957 | − | 22.5635i | 0.774309 | − | 0.905442i | ||||
\(622\) | −7.22072 | + | 3.67914i | −0.289524 | + | 0.147520i | ||||
\(623\) | 4.13478 | − | 9.19957i | 0.165656 | − | 0.368573i | ||||
\(624\) | 15.2865 | + | 7.96175i | 0.611951 | + | 0.318725i | ||||
\(625\) | 9.20939 | − | 23.2419i | 0.368375 | − | 0.929677i | ||||
\(626\) | 16.0528 | − | 9.26809i | 0.641599 | − | 0.370427i | ||||
\(627\) | 1.39817 | − | 12.2487i | 0.0558376 | − | 0.489166i | ||||
\(628\) | −16.3998 | − | 0.859478i | −0.654424 | − | 0.0342969i | ||||
\(629\) | 6.47001 | − | 19.9127i | 0.257976 | − | 0.793970i | ||||
\(630\) | −4.42442 | − | 36.7206i | −0.176273 | − | 1.46298i | ||||
\(631\) | −5.50859 | − | 16.9537i | −0.219294 | − | 0.674916i | −0.998821 | − | 0.0485481i | \(-0.984541\pi\) |
0.779527 | − | 0.626368i | \(-0.215459\pi\) | |||||||
\(632\) | −1.81586 | − | 6.77688i | −0.0722310 | − | 0.269570i | ||||
\(633\) | −4.65775 | − | 2.12384i | −0.185129 | − | 0.0844151i | ||||
\(634\) | −28.4304 | − | 2.98816i | −1.12912 | − | 0.118675i | ||||
\(635\) | 5.18041 | + | 36.4171i | 0.205578 | + | 1.44517i | ||||
\(636\) | −14.3564 | + | 2.14250i | −0.569270 | + | 0.0849557i | ||||
\(637\) | 13.5926 | + | 17.0293i | 0.538560 | + | 0.674724i | ||||
\(638\) | −2.28922 | − | 14.4536i | −0.0906310 | − | 0.572222i | ||||
\(639\) | −12.9353 | + | 11.2349i | −0.511711 | + | 0.444446i | ||||
\(640\) | 12.2120 | − | 3.06658i | 0.482723 | − | 0.121217i | ||||
\(641\) | 37.2386 | + | 3.91393i | 1.47083 | + | 0.154591i | 0.805785 | − | 0.592208i | \(-0.201744\pi\) |
0.665050 | + | 0.746799i | \(0.268410\pi\) | |||||||
\(642\) | −26.9599 | + | 2.59023i | −1.06402 | + | 0.102228i | ||||
\(643\) | −1.52466 | + | 1.52466i | −0.0601267 | + | 0.0601267i | −0.736531 | − | 0.676404i | \(-0.763537\pi\) |
0.676404 | + | 0.736531i | \(0.263537\pi\) | |||||||
\(644\) | 19.1841 | + | 29.7699i | 0.755960 | + | 1.17310i | ||||
\(645\) | −1.17864 | − | 42.6200i | −0.0464090 | − | 1.67816i | ||||
\(646\) | −45.0303 | − | 50.0112i | −1.77169 | − | 1.96766i | ||||
\(647\) | −12.6274 | + | 19.4444i | −0.496433 | + | 0.764440i | −0.994726 | − | 0.102569i | \(-0.967294\pi\) |
0.498293 | + | 0.867009i | \(0.333960\pi\) | |||||||
\(648\) | −6.42836 | + | 0.106802i | −0.252530 | + | 0.00419557i | ||||
\(649\) | −12.8241 | − | 7.40399i | −0.503389 | − | 0.290632i | ||||
\(650\) | 32.3466 | − | 2.37099i | 1.26874 | − | 0.0929981i | ||||
\(651\) | 32.9412 | + | 30.4119i | 1.29107 | + | 1.19194i | ||||
\(652\) | 41.3482 | + | 6.54891i | 1.61932 | + | 0.256475i | ||||
\(653\) | −0.994615 | + | 18.9784i | −0.0389223 | + | 0.742682i | 0.907559 | + | 0.419924i | \(0.137943\pi\) |
−0.946482 | + | 0.322758i | \(0.895390\pi\) | |||||||
\(654\) | 15.2136 | − | 54.8137i | 0.594898 | − | 2.14338i | ||||
\(655\) | 30.3954 | − | 2.71065i | 1.18764 | − | 0.105914i | ||||
\(656\) | 1.95713 | − | 9.20759i | 0.0764132 | − | 0.359496i | ||||
\(657\) | −6.32717 | + | 35.7952i | −0.246846 | + | 1.39650i | ||||
\(658\) | −8.16082 | − | 25.4206i | −0.318142 | − | 0.990997i | ||||
\(659\) | 37.9002 | + | 27.5361i | 1.47638 | + | 1.07266i | 0.978700 | + | 0.205297i | \(0.0658160\pi\) |
0.497684 | + | 0.867359i | \(0.334184\pi\) | |||||||
\(660\) | −10.9455 | + | 7.54634i | −0.426055 | + | 0.293741i | ||||
\(661\) | −12.0663 | − | 5.37225i | −0.469323 | − | 0.208956i | 0.158427 | − | 0.987371i | \(-0.449358\pi\) |
−0.627751 | + | 0.778414i | \(0.716024\pi\) | |||||||
\(662\) | −8.86358 | − | 10.9456i | −0.344493 | − | 0.425413i | ||||
\(663\) | −26.8476 | + | 23.7427i | −1.04268 | + | 0.922091i | ||||
\(664\) | 5.79816 | + | 7.98049i | 0.225012 | + | 0.309703i | ||||
\(665\) | −26.0240 | − | 12.1936i | −1.00917 | − | 0.472847i | ||||
\(666\) | −19.6874 | − | 0.351923i | −0.762871 | − | 0.0136367i | ||||
\(667\) | −14.9138 | − | 22.9653i | −0.577466 | − | 0.889219i | ||||
\(668\) | −4.55054 | + | 16.9828i | −0.176066 | + | 0.657086i | ||||
\(669\) | −34.7487 | + | 12.9837i | −1.34346 | + | 0.501978i | ||||
\(670\) | 5.93044 | − | 17.3176i | 0.229113 | − | 0.669037i | ||||
\(671\) | −0.261961 | − | 0.0851164i | −0.0101129 | − | 0.00328588i | ||||
\(672\) | −10.0416 | + | 35.6913i | −0.387364 | + | 1.37682i | ||||
\(673\) | 1.83559 | − | 11.5895i | 0.0707568 | − | 0.446741i | −0.926720 | − | 0.375752i | \(-0.877385\pi\) |
0.997477 | − | 0.0709888i | \(-0.0226155\pi\) | |||||||
\(674\) | −11.5638 | + | 20.0291i | −0.445421 | + | 0.771492i | ||||
\(675\) | 21.8738 | − | 14.0191i | 0.841924 | − | 0.539596i | ||||
\(676\) | −3.87862 | − | 6.71796i | −0.149178 | − | 0.258383i | ||||
\(677\) | −36.2756 | − | 29.3754i | −1.39418 | − | 1.12899i | −0.975284 | − | 0.220954i | \(-0.929083\pi\) |
−0.418899 | − | 0.908033i | \(-0.637584\pi\) | |||||||
\(678\) | 11.3463 | + | 0.101403i | 0.435752 | + | 0.00389434i | ||||
\(679\) | −16.7059 | − | 0.934497i | −0.641113 | − | 0.0358627i | ||||
\(680\) | −1.27642 | + | 10.5418i | −0.0489483 | + | 0.404258i | ||||
\(681\) | 30.2844 | + | 24.9752i | 1.16050 | + | 0.957053i | ||||
\(682\) | 7.73166 | − | 28.8549i | 0.296060 | − | 1.10491i | ||||
\(683\) | 11.1630 | − | 0.585030i | 0.427142 | − | 0.0223856i | 0.162446 | − | 0.986717i | \(-0.448062\pi\) |
0.264696 | + | 0.964332i | \(0.414728\pi\) | |||||||
\(684\) | −17.5969 | + | 29.2583i | −0.672834 | + | 1.11872i | ||||
\(685\) | 7.67418 | − | 11.4187i | 0.293215 | − | 0.436287i | ||||
\(686\) | −24.6040 | + | 29.7358i | −0.939386 | + | 1.13532i | ||||
\(687\) | −16.4580 | − | 5.51061i | −0.627911 | − | 0.210243i | ||||
\(688\) | −12.6123 | + | 32.8561i | −0.480838 | + | 1.25263i | ||||
\(689\) | 10.1719 | + | 4.52883i | 0.387519 | + | 0.172535i | ||||
\(690\) | −24.0374 | + | 39.3549i | −0.915087 | + | 1.49822i | ||||
\(691\) | −42.1239 | + | 18.7548i | −1.60247 | + | 0.713465i | −0.996623 | − | 0.0821176i | \(-0.973832\pi\) |
−0.605845 | + | 0.795582i | \(0.707165\pi\) | |||||||
\(692\) | 9.43631 | + | 4.80804i | 0.358715 | + | 0.182774i | ||||
\(693\) | −0.967947 | − | 11.5895i | −0.0367693 | − | 0.440248i | ||||
\(694\) | −66.8218 | + | 21.7117i | −2.53652 | + | 0.824165i | ||||
\(695\) | −10.5962 | + | 14.1108i | −0.401936 | + | 0.535253i | ||||
\(696\) | −1.58589 | + | 5.71387i | −0.0601130 | + | 0.216584i | ||||
\(697\) | 16.4163 | + | 10.6608i | 0.621810 | + | 0.403808i | ||||
\(698\) | −20.9353 | + | 25.8530i | −0.792415 | + | 0.978551i | ||||
\(699\) | −7.95417 | + | 15.2720i | −0.300854 | + | 0.577639i | ||||
\(700\) | 8.53773 | + | 29.7931i | 0.322696 | + | 1.12607i | ||||
\(701\) | 28.1076i | 1.06161i | 0.847494 | + | 0.530805i | \(0.178110\pi\) | ||||
−0.847494 | + | 0.530805i | \(0.821890\pi\) | |||||||
\(702\) | 28.7277 | + | 17.6293i | 1.08426 | + | 0.665375i | ||||
\(703\) | −8.33294 | + | 12.8316i | −0.314283 | + | 0.483953i | ||||
\(704\) | 15.0014 | − | 3.18865i | 0.565387 | − | 0.120177i | ||||
\(705\) | 13.5848 | − | 12.9294i | 0.511633 | − | 0.486951i | ||||
\(706\) | −0.322976 | − | 0.994017i | −0.0121553 | − | 0.0374103i | ||||
\(707\) | −3.36670 | − | 0.0118510i | −0.126618 | − | 0.000445703i | ||||
\(708\) | 23.8075 | + | 33.3917i | 0.894740 | + | 1.25494i | ||||
\(709\) | 12.2866 | + | 27.5961i | 0.461433 | + | 1.03639i | 0.983071 | + | 0.183228i | \(0.0586545\pi\) |
−0.521638 | + | 0.853167i | \(0.674679\pi\) | |||||||
\(710\) | 17.0719 | − | 20.4150i | 0.640698 | − | 0.766161i | ||||
\(711\) | 5.60981 | + | 28.9249i | 0.210384 | + | 1.08477i | ||||
\(712\) | 2.54239 | + | 0.975931i | 0.0952800 | + | 0.0365746i | ||||
\(713\) | −8.74449 | − | 55.2106i | −0.327484 | − | 2.06765i | ||||
\(714\) | −50.8910 | − | 37.9519i | −1.90455 | − | 1.42032i | ||||
\(715\) | 10.1914 | − | 0.373014i | 0.381137 | − | 0.0139499i | ||||
\(716\) | 3.82625 | + | 8.59389i | 0.142994 | + | 0.321169i | ||||
\(717\) | −31.3517 | − | 14.2958i | −1.17085 | − | 0.533885i | ||||
\(718\) | 41.0246 | + | 10.9925i | 1.53102 | + | 0.410237i | ||||
\(719\) | −12.7373 | − | 2.70740i | −0.475022 | − | 0.100969i | −0.0358215 | − | 0.999358i | \(-0.511405\pi\) |
−0.439200 | + | 0.898389i | \(0.644738\pi\) | |||||||
\(720\) | −21.1150 | + | 3.75053i | −0.786909 | + | 0.139774i | ||||
\(721\) | 17.8885 | + | 11.7066i | 0.666202 | + | 0.435978i | ||||
\(722\) | 4.35012 | + | 8.53759i | 0.161895 | + | 0.317736i | ||||
\(723\) | −28.9161 | + | 12.5659i | −1.07540 | + | 0.467330i | ||||
\(724\) | 13.7880 | − | 7.96048i | 0.512425 | − | 0.295849i | ||||
\(725\) | −6.68230 | − | 23.0122i | −0.248174 | − | 0.854652i | ||||
\(726\) | 26.9544 | − | 17.1639i | 1.00037 | − | 0.637011i | ||||
\(727\) | 4.64386 | + | 0.735515i | 0.172231 | + | 0.0272787i | 0.241954 | − | 0.970288i | \(-0.422212\pi\) |
−0.0697232 | + | 0.997566i | \(0.522212\pi\) | |||||||
\(728\) | −4.38580 | + | 3.92113i | −0.162549 | + | 0.145327i | ||||
\(729\) | 26.9612 | + | 1.44707i | 0.998563 | + | 0.0535952i | ||||
\(730\) | 0.890670 | − | 56.4546i | 0.0329652 | − | 2.08948i | ||||
\(731\) | −54.3850 | − | 48.9685i | −2.01150 | − | 1.81116i | ||||
\(732\) | 0.562302 | + | 0.515473i | 0.0207833 | + | 0.0190524i | ||||
\(733\) | 8.62428 | − | 5.60067i | 0.318545 | − | 0.206866i | −0.375455 | − | 0.926841i | \(-0.622513\pi\) |
0.694000 | + | 0.719975i | \(0.255847\pi\) | |||||||
\(734\) | −38.5830 | − | 28.0322i | −1.42412 | − | 1.03469i | ||||
\(735\) | −26.3261 | − | 6.47571i | −0.971054 | − | 0.238860i | ||||
\(736\) | 37.3995 | − | 27.1723i | 1.37857 | − | 1.00159i | ||||
\(737\) | 2.06267 | − | 5.37344i | 0.0759794 | − | 0.197933i | ||||
\(738\) | 5.08150 | − | 17.6932i | 0.187053 | − | 0.651296i | ||||
\(739\) | 19.4231 | − | 43.6250i | 0.714490 | − | 1.60477i | −0.0794957 | − | 0.996835i | \(-0.525331\pi\) |
0.793986 | − | 0.607936i | \(-0.208002\pi\) | |||||||
\(740\) | 16.3350 | − | 2.32370i | 0.600488 | − | 0.0854208i | ||||
\(741\) | 23.4408 | − | 11.6810i | 0.861119 | − | 0.429112i | ||||
\(742\) | −4.16849 | + | 19.2773i | −0.153030 | + | 0.707691i | ||||
\(743\) | −32.2396 | − | 32.2396i | −1.18276 | − | 1.18276i | −0.979027 | − | 0.203728i | \(-0.934694\pi\) |
−0.203728 | − | 0.979027i | \(-0.565306\pi\) | |||||||
\(744\) | −7.70173 | + | 9.33895i | −0.282359 | + | 0.342383i | ||||
\(745\) | 6.04916 | + | 1.38587i | 0.221624 | + | 0.0507744i | ||||
\(746\) | 4.04490 | + | 19.0298i | 0.148094 | + | 0.696729i | ||||
\(747\) | −21.9378 | − | 35.1406i | −0.802661 | − | 1.28573i | ||||
\(748\) | −3.56977 | + | 22.5387i | −0.130524 | + | 0.824095i | ||||
\(749\) | −5.20571 | + | 19.1580i | −0.190212 | + | 0.700017i | ||||
\(750\) | −30.0950 | + | 26.8857i | −1.09891 | + | 0.981726i | ||||
\(751\) | −9.03813 | + | 15.6545i | −0.329806 | + | 0.571241i | −0.982473 | − | 0.186404i | \(-0.940317\pi\) |
0.652667 | + | 0.757645i | \(0.273650\pi\) | |||||||
\(752\) | −14.4522 | + | 5.54766i | −0.527016 | + | 0.202303i | ||||
\(753\) | 14.3695 | − | 8.12588i | 0.523654 | − | 0.296124i | ||||
\(754\) | 23.1027 | − | 20.8017i | 0.841350 | − | 0.757555i | ||||
\(755\) | −8.04471 | + | 8.65596i | −0.292777 | + | 0.315023i | ||||
\(756\) | −10.8772 | + | 30.3158i | −0.395600 | + | 1.10257i | ||||
\(757\) | 13.6624 | + | 13.6624i | 0.496569 | + | 0.496569i | 0.910368 | − | 0.413799i | \(-0.135799\pi\) |
−0.413799 | + | 0.910368i | \(0.635799\pi\) | |||||||
\(758\) | 6.50645 | + | 10.0191i | 0.236325 | + | 0.363908i | ||||
\(759\) | −8.00579 | + | 12.0899i | −0.290592 | + | 0.438836i | ||||
\(760\) | 2.89473 | − | 7.19946i | 0.105003 | − | 0.261152i | ||||
\(761\) | −13.2512 | + | 1.39275i | −0.480354 | + | 0.0504873i | −0.341612 | − | 0.939841i | \(-0.610973\pi\) |
−0.138743 | + | 0.990328i | \(0.544306\pi\) | |||||||
\(762\) | 18.8523 | − | 56.3043i | 0.682947 | − | 2.03969i | ||||
\(763\) | −33.6473 | − | 24.6276i | −1.21811 | − | 0.891580i | ||||
\(764\) | −18.9388 | + | 13.7598i | −0.685180 | + | 0.497812i | ||||
\(765\) | 8.45390 | − | 43.7855i | 0.305652 | − | 1.58307i | ||||
\(766\) | −2.83309 | + | 26.9551i | −0.102364 | + | 0.973926i | ||||
\(767\) | −1.64638 | − | 31.4148i | −0.0594473 | − | 1.13432i | ||||
\(768\) | 15.5557 | + | 3.45205i | 0.561318 | + | 0.124565i | ||||
\(769\) | 9.78523 | − | 3.17941i | 0.352864 | − | 0.114653i | −0.127221 | − | 0.991874i | \(-0.540606\pi\) |
0.480085 | + | 0.877222i | \(0.340606\pi\) | |||||||
\(770\) | 4.33786 | + | 17.5358i | 0.156326 | + | 0.631945i | ||||
\(771\) | 23.2302 | − | 22.8187i | 0.836616 | − | 0.821795i | ||||
\(772\) | −0.104055 | + | 1.98549i | −0.00374502 | + | 0.0714593i | ||||
\(773\) | 5.86198 | + | 15.2710i | 0.210841 | + | 0.549259i | 0.997693 | − | 0.0678819i | \(-0.0216241\pi\) |
−0.786853 | + | 0.617141i | \(0.788291\pi\) | |||||||
\(774\) | −29.1125 | + | 62.3635i | −1.04643 | + | 2.24161i | ||||
\(775\) | 6.64532 | − | 48.4634i | 0.238707 | − | 1.74086i | ||||
\(776\) | − | 4.51769i | − | 0.162176i | ||||||
\(777\) | −5.33982 | + | 13.4090i | −0.191565 | + | 0.481046i | ||||
\(778\) | 8.99304 | + | 17.6498i | 0.322416 | + | 0.632777i | ||||
\(779\) | −9.57107 | − | 10.6297i | −0.342919 | − | 0.380850i | ||||
\(780\) | −26.1093 | − | 10.7700i | −0.934864 | − | 0.385627i | ||||
\(781\) | 5.59924 | − | 6.21859i | 0.200357 | − | 0.222519i | ||||
\(782\) | 20.4864 | + | 76.4562i | 0.732592 | + | 2.73407i | ||||
\(783\) | 8.32754 | − | 23.4692i | 0.297602 | − | 0.838721i | ||||
\(784\) | 18.0114 | + | 13.2808i | 0.643264 | + | 0.474314i | ||||
\(785\) | −15.6637 | + | 0.573304i | −0.559062 | + | 0.0204621i | ||||
\(786\) | −45.8279 | − | 18.0632i | −1.63463 | − | 0.644293i | ||||
\(787\) | 34.8205 | − | 28.1971i | 1.24122 | − | 1.00512i | 0.241823 | − | 0.970320i | \(-0.422255\pi\) |
0.999394 | − | 0.0347974i | \(-0.0110786\pi\) | |||||||
\(788\) | −23.6276 | + | 19.1332i | −0.841698 | + | 0.681594i | ||||
\(789\) | 7.52301 | + | 2.96522i | 0.267826 | + | 0.105565i | ||||
\(790\) | −15.7249 | − | 42.9792i | −0.559465 | − | 1.52913i | ||||
\(791\) | 3.00792 | − | 7.75421i | 0.106949 | − | 0.275708i | ||||
\(792\) | 3.10971 | − | 0.435709i | 0.110499 | − | 0.0154822i | ||||
\(793\) | −0.151447 | − | 0.565209i | −0.00537805 | − | 0.0200711i | ||||
\(794\) | 31.7454 | − | 35.2569i | 1.12660 | − | 1.25122i | ||||
\(795\) | −13.4666 | + | 3.25396i | −0.477612 | + | 0.115406i | ||||
\(796\) | 8.04436 | + | 8.93417i | 0.285125 | + | 0.316663i | ||||
\(797\) | −16.1127 | − | 31.6230i | −0.570743 | − | 1.12015i | −0.978344 | − | 0.206986i | \(-0.933635\pi\) |
0.407601 | − | 0.913160i | \(-0.366365\pi\) | |||||||
\(798\) | 28.7433 | + | 36.4133i | 1.01750 | + | 1.28902i | ||||
\(799\) | − | 32.1901i | − | 1.13880i | ||||||
\(800\) | 38.2059 | − | 13.2989i | 1.35078 | − | 0.470188i | ||||
\(801\) | −10.3630 | − | 4.83764i | −0.366157 | − | 0.170929i | ||||
\(802\) | 20.8152 | + | 54.2256i | 0.735012 | + | 1.91477i | ||||
\(803\) | 0.929152 | − | 17.7293i | 0.0327891 | − | 0.625653i | ||||
\(804\) | −11.3717 | + | 11.1702i | −0.401047 | + | 0.393943i | ||||
\(805\) | 20.7617 | + | 26.6749i | 0.731754 | + | 0.940168i | ||||
\(806\) | 60.3555 | − | 19.6107i | 2.12593 | − | 0.690757i | ||||
\(807\) | −45.1270 | − | 10.0144i | −1.58855 | − | 0.352523i | ||||
\(808\) | −0.0475747 | − | 0.907780i | −0.00167367 | − | 0.0319356i | ||||
\(809\) | 2.68068 | − | 25.5049i | 0.0942476 | − | 0.896706i | −0.840600 | − | 0.541657i | \(-0.817797\pi\) |
0.934848 | − | 0.355049i | \(-0.115536\pi\) | |||||||
\(810\) | −41.7050 | + | 4.41868i | −1.46536 | + | 0.155256i | ||||
\(811\) | −19.9000 | + | 14.4582i | −0.698785 | + | 0.507697i | −0.879536 | − | 0.475832i | \(-0.842147\pi\) |
0.180751 | + | 0.983529i | \(0.442147\pi\) | |||||||
\(812\) | 23.9714 | + | 17.5455i | 0.841231 | + | 0.615726i | ||||
\(813\) | −11.2753 | + | 33.6748i | −0.395442 | + | 1.18103i | ||||
\(814\) | 9.56431 | − | 1.00525i | 0.335229 | − | 0.0352340i | ||||
\(815\) | 39.8638 | + | 2.72034i | 1.39637 | + | 0.0952894i | ||||
\(816\) | −20.3231 | + | 30.6908i | −0.711449 | + | 1.07439i | ||||
\(817\) | 29.1260 | + | 44.8501i | 1.01899 | + | 1.56911i | ||||
\(818\) | −36.0189 | − | 36.0189i | −1.25937 | − | 1.25937i | ||||
\(819\) | 19.5286 | − | 15.1339i | 0.682385 | − | 0.528820i | ||||
\(820\) | −1.85417 | + | 15.3134i | −0.0647504 | + | 0.534766i | ||||
\(821\) | 13.2789 | − | 11.9564i | 0.463436 | − | 0.417280i | −0.404053 | − | 0.914735i | \(-0.632399\pi\) |
0.867489 | + | 0.497456i | \(0.165732\pi\) | |||||||
\(822\) | −19.3313 | + | 10.9318i | −0.674257 | + | 0.381289i | ||||
\(823\) | −4.42529 | + | 1.69871i | −0.154256 | + | 0.0592133i | −0.434271 | − | 0.900782i | \(-0.642994\pi\) |
0.280015 | + | 0.959996i | \(0.409661\pi\) | |||||||
\(824\) | −2.88614 | + | 4.99894i | −0.100543 | + | 0.174146i | ||||
\(825\) | −9.76585 | + | 8.10207i | −0.340003 | + | 0.282078i | ||||
\(826\) | 53.8737 | − | 14.2324i | 1.87451 | − | 0.495207i | ||||
\(827\) | −2.37608 | + | 15.0020i | −0.0826244 | + | 0.521670i | 0.911312 | + | 0.411716i | \(0.135070\pi\) |
−0.993937 | + | 0.109954i | \(0.964930\pi\) | |||||||
\(828\) | 34.0646 | − | 21.2660i | 1.18383 | − | 0.739045i | ||||
\(829\) | 5.29737 | + | 24.9222i | 0.183985 | + | 0.865583i | 0.969184 | + | 0.246339i | \(0.0792276\pi\) |
−0.785198 | + | 0.619244i | \(0.787439\pi\) | |||||||
\(830\) | 42.2964 | + | 48.4919i | 1.46813 | + | 1.68318i | ||||
\(831\) | 1.02838 | − | 1.24700i | 0.0356743 | − | 0.0432578i | ||||
\(832\) | 23.0381 | + | 23.0381i | 0.798702 | + | 0.798702i | ||||
\(833\) | −39.2041 | + | 25.0688i | −1.35834 | + | 0.868582i | ||||
\(834\) | 25.4948 | − | 12.7046i | 0.882813 | − | 0.439923i | ||||
\(835\) | −2.88625 | + | 16.5309i | −0.0998830 | + | 0.572076i | ||||
\(836\) | 6.78247 | − | 15.2337i | 0.234577 | − | 0.526868i | ||||
\(837\) | 35.0164 | − | 36.8530i | 1.21034 | − | 1.27383i | ||||
\(838\) | 25.8300 | − | 67.2895i | 0.892283 | − | 2.32448i | ||||
\(839\) | 4.56177 | − | 3.31432i | 0.157490 | − | 0.114423i | −0.506249 | − | 0.862387i | \(-0.668969\pi\) |
0.663739 | + | 0.747964i | \(0.268969\pi\) | |||||||
\(840\) | 1.34874 | − | 7.19469i | 0.0465358 | − | 0.248241i | ||||
\(841\) | 4.87952 | + | 3.54518i | 0.168259 | + | 0.122248i | ||||
\(842\) | −24.6814 | + | 16.0283i | −0.850577 | + | 0.552371i | ||||
\(843\) | −24.9507 | − | 22.8728i | −0.859348 | − | 0.787780i | ||||
\(844\) | −5.14567 | − | 4.63318i | −0.177121 | − | 0.159481i | ||||
\(845\) | −4.25685 | − | 6.05775i | −0.146440 | − | 0.208393i | ||||
\(846\) | −28.9540 | + | 8.83884i | −0.995461 | + | 0.303885i | ||||
\(847\) | −4.78927 | − | 22.9283i | −0.164561 | − | 0.787827i | ||||
\(848\) | 11.2950 | + | 1.78895i | 0.387871 | + | 0.0614327i | ||||
\(849\) | 13.5150 | − | 8.60602i | 0.463834 | − | 0.295358i | ||||
\(850\) | −2.18507 | + | 69.2324i | −0.0749472 | + | 2.37465i | ||||
\(851\) | 15.5846 | − | 8.99777i | 0.534233 | − | 0.308440i | ||||
\(852\) | −21.2543 | + | 9.23634i | −0.728162 | + | 0.316432i | ||||
\(853\) | −19.6966 | − | 38.6567i | −0.674397 | − | 1.32358i | −0.933795 | − | 0.357809i | \(-0.883524\pi\) |
0.259397 | − | 0.965771i | \(-0.416476\pi\) | |||||||
\(854\) | 0.925162 | − | 0.467299i | 0.0316584 | − | 0.0159906i | ||||
\(855\) | −14.2483 | + | 29.3069i | −0.487283 | + | 1.00228i | ||||
\(856\) | −5.24314 | − | 1.11446i | −0.179207 | − | 0.0380916i | ||||
\(857\) | −11.5179 | − | 3.08621i | −0.393444 | − | 0.105423i | 0.0566728 | − | 0.998393i | \(-0.481951\pi\) |
−0.450116 | + | 0.892970i | \(0.648617\pi\) | |||||||
\(858\) | −14.9784 | − | 6.82987i | −0.511355 | − | 0.233168i | ||||
\(859\) | −22.2123 | − | 49.8897i | −0.757874 | − | 1.70221i | −0.710875 | − | 0.703319i | \(-0.751701\pi\) |
−0.0469996 | − | 0.998895i | \(-0.514966\pi\) | |||||||
\(860\) | 15.8031 | − | 55.4630i | 0.538881 | − | 1.89127i | ||||
\(861\) | −10.8167 | − | 8.06659i | −0.368634 | − | 0.274909i | ||||
\(862\) | 0.908999 | + | 5.73919i | 0.0309606 | + | 0.195478i | ||||
\(863\) | 37.7495 | + | 14.4907i | 1.28501 | + | 0.493269i | 0.902503 | − | 0.430684i | \(-0.141728\pi\) |
0.382507 | + | 0.923953i | \(0.375061\pi\) | |||||||
\(864\) | 40.3026 | + | 11.9658i | 1.37112 | + | 0.407085i | ||||
\(865\) | 9.37847 | + | 3.77086i | 0.318878 | + | 0.128213i | ||||
\(866\) | −2.19036 | − | 4.91962i | −0.0744313 | − | 0.167175i | ||||
\(867\) | −27.3417 | − | 38.3487i | −0.928574 | − | 1.30239i | ||||
\(868\) | 30.1358 | + | 52.6237i | 1.02288 | + | 1.78617i | ||||
\(869\) | −4.44686 | − | 13.6860i | −0.150849 | − | 0.464267i | ||||
\(870\) | −6.99322 | + | 38.0436i | −0.237092 | + | 1.28980i | ||||
\(871\) | 11.9602 | − | 2.54222i | 0.405256 | − | 0.0861399i | ||||
\(872\) | 6.13176 | − | 9.44208i | 0.207648 | − | 0.319749i | ||||
\(873\) | −1.33140 | + | 18.9255i | −0.0450610 | + | 0.640533i | ||||
\(874\) | − | 57.8410i | − | 1.95650i | ||||||
\(875\) | 10.6425 | + | 27.5996i | 0.359781 | + | 0.933037i | ||||
\(876\) | −22.7122 | + | 43.6074i | −0.767375 | + | 1.47336i | ||||
\(877\) | −27.8522 | + | 34.3947i | −0.940503 | + | 1.16142i | 0.0462063 | + | 0.998932i | \(0.485287\pi\) |
−0.986710 | + | 0.162493i | \(0.948046\pi\) | |||||||
\(878\) | −50.8804 | − | 33.0421i | −1.71713 | − | 1.11512i | ||||
\(879\) | −0.965389 | + | 3.47824i | −0.0325618 | + | 0.117318i | ||||
\(880\) | 10.0113 | − | 3.07914i | 0.337481 | − | 0.103798i | ||||
\(881\) | −18.5838 | + | 6.03823i | −0.626103 | + | 0.203433i | −0.604848 | − | 0.796341i | \(-0.706766\pi\) |
−0.0212549 | + | 0.999774i | \(0.506766\pi\) | |||||||
\(882\) | 33.3134 | + | 28.3794i | 1.12172 | + | 0.955585i | ||||
\(883\) | 17.2892 | + | 8.80926i | 0.581826 | + | 0.296455i | 0.720024 | − | 0.693949i | \(-0.244131\pi\) |
−0.138197 | + | 0.990405i | \(0.544131\pi\) | |||||||
\(884\) | −44.2866 | + | 19.7177i | −1.48952 | + | 0.663177i | ||||
\(885\) | 25.4641 | + | 29.7261i | 0.855966 | + | 0.999234i | ||||
\(886\) | 18.0678 | + | 8.04429i | 0.606998 | + | 0.270253i | ||||
\(887\) | −20.7353 | + | 54.0173i | −0.696223 | + | 1.81372i | −0.126358 | + | 0.991985i | \(0.540329\pi\) |
−0.569865 | + | 0.821739i | \(0.693004\pi\) | |||||||
\(888\) | −3.69535 | − | 1.23731i | −0.124008 | − | 0.0415215i | ||||
\(889\) | −33.7271 | − | 27.5088i | −1.13117 | − | 0.922616i | ||||
\(890\) | 17.0841 | + | 4.86778i | 0.572660 | + | 0.163168i | ||||
\(891\) | −13.1556 | + | 0.908818i | −0.440730 | + | 0.0304466i | ||||
\(892\) | −50.1065 | + | 2.62597i | −1.67769 | + | 0.0879240i | ||||
\(893\) | −6.08815 | + | 22.7213i | −0.203732 | + | 0.760339i | ||||
\(894\) | −7.72849 | − | 6.37360i | −0.258479 | − | 0.213165i | ||||
\(895\) | 4.36610 | + | 7.84558i | 0.145943 | + | 0.262249i | ||||
\(896\) | −8.15801 | + | 12.4659i | −0.272540 | + | 0.416458i | ||||
\(897\) | −30.8030 | − | 0.275288i | −1.02848 | − | 0.00919161i | ||||
\(898\) | −35.5214 | − | 28.7647i | −1.18536 | − | 0.959889i | ||||
\(899\) | −23.4437 | − | 40.6057i | −0.781891 | − | 1.35427i | ||||
\(900\) | 33.9176 | − | 9.19500i | 1.13059 | − | 0.306500i | ||||
\(901\) | −11.8899 | + | 20.5938i | −0.396109 | + | 0.686080i | ||||
\(902\) | −1.40647 | + | 8.88013i | −0.0468305 | + | 0.295676i | ||||
\(903\) | 35.2250 | + | 36.1137i | 1.17221 | + | 1.20179i | ||||
\(904\) | 2.13575 | + | 0.693948i | 0.0710340 | + | 0.0230804i | ||||
\(905\) | 12.4329 | − | 8.73676i | 0.413285 | − | 0.290420i | ||||
\(906\) | 17.8686 | − | 6.67653i | 0.593646 | − | 0.221813i | ||||
\(907\) | −2.23390 | + | 8.33704i | −0.0741755 | + | 0.276827i | −0.993045 | − | 0.117735i | \(-0.962437\pi\) |
0.918870 | + | 0.394561i | \(0.129103\pi\) | |||||||
\(908\) | 28.9182 | + | 44.5301i | 0.959683 | + | 1.47778i | ||||
\(909\) | −0.0682291 | + | 3.81690i | −0.00226302 | + | 0.126598i | ||||
\(910\) | −26.2238 | + | 28.0179i | −0.869310 | + | 0.928785i | ||||
\(911\) | −11.2040 | − | 15.4210i | −0.371206 | − | 0.510921i | 0.582022 | − | 0.813173i | \(-0.302262\pi\) |
−0.953228 | + | 0.302252i | \(0.902262\pi\) | |||||||
\(912\) | 20.1495 | − | 17.8192i | 0.667217 | − | 0.590054i | ||||
\(913\) | 12.7329 | + | 15.7239i | 0.421399 | + | 0.520384i | ||||
\(914\) | −62.5082 | − | 27.8304i | −2.06759 | − | 0.920549i | ||||
\(915\) | 0.578267 | + | 0.442373i | 0.0191169 | + | 0.0146244i | ||||
\(916\) | −18.9925 | − | 13.7988i | −0.627529 | − | 0.455926i | ||||
\(917\) | −24.2546 | + | 26.7475i | −0.800958 | + | 0.883281i | ||||
\(918\) | −43.8573 | + | 57.0813i | −1.44751 | + | 1.88396i | ||||
\(919\) | −9.13077 | + | 42.9569i | −0.301196 | + | 1.41702i | 0.523782 | + | 0.851852i | \(0.324521\pi\) |
−0.824978 | + | 0.565165i | \(0.808813\pi\) | |||||||
\(920\) | −6.87799 | + | 5.99923i | −0.226761 | + | 0.197789i | ||||
\(921\) | 12.5343 | − | 45.1602i | 0.413018 | − | 1.48808i | ||||
\(922\) | −1.97259 | + | 37.6392i | −0.0649637 | + | 1.23958i | ||||
\(923\) | 17.5579 | + | 2.78090i | 0.577925 | + | 0.0915344i | ||||
\(924\) | 3.46200 | − | 15.3450i | 0.113891 | − | 0.504812i | ||||
\(925\) | 15.3323 | − | 3.59397i | 0.504122 | − | 0.118169i | ||||
\(926\) | −20.4416 | − | 11.8020i | −0.671753 | − | 0.387837i | ||||
\(927\) | 13.5639 | − | 20.0910i | 0.445495 | − | 0.659876i | ||||
\(928\) | 21.1189 | − | 32.5202i | 0.693262 | − | 1.06753i | ||||
\(929\) | −12.9888 | − | 14.4255i | −0.426148 | − | 0.473286i | 0.491386 | − | 0.870942i | \(-0.336490\pi\) |
−0.917535 | + | 0.397656i | \(0.869824\pi\) | |||||||
\(930\) | −44.6291 | + | 65.1404i | −1.46345 | + | 2.13604i | ||||
\(931\) | 32.4133 | − | 10.2800i | 1.06230 | − | 0.336914i | ||||
\(932\) | −16.4692 | + | 16.4692i | −0.539466 | + | 0.539466i | ||||
\(933\) | 6.70471 | − | 0.644168i | 0.219503 | − | 0.0210891i | ||||
\(934\) | −85.4165 | − | 8.97763i | −2.79491 | − | 0.293757i | ||||
\(935\) | −1.48284 | + | 21.7295i | −0.0484942 | + | 0.710632i | ||||
\(936\) | 4.37430 | + | 5.03633i | 0.142979 | + | 0.164618i | ||||
\(937\) | 3.43856 | + | 21.7102i | 0.112333 | + | 0.709242i | 0.977997 | + | 0.208617i | \(0.0668964\pi\) |
−0.865664 | + | 0.500625i | \(0.833104\pi\) | |||||||
\(938\) | 8.73966 | + | 19.8170i | 0.285360 | + | 0.647049i | ||||
\(939\) | −15.2375 | + | 2.27398i | −0.497256 | + | 0.0742086i | ||||
\(940\) | 22.7811 | − | 11.1584i | 0.743037 | − | 0.363948i | ||||
\(941\) | 30.3600 | + | 3.19096i | 0.989707 | + | 0.104022i | 0.585523 | − | 0.810655i | \(-0.300889\pi\) |
0.404184 | + | 0.914678i | \(0.367556\pi\) | |||||||
\(942\) | 23.0212 | + | 10.4972i | 0.750070 | + | 0.342017i | ||||
\(943\) | 4.35433 | + | 16.2506i | 0.141796 | + | 0.529192i | ||||
\(944\) | −9.98400 | − | 30.7276i | −0.324952 | − | 1.00010i | ||||
\(945\) | −7.77046 | + | 29.7426i | −0.252773 | + | 0.967526i | ||||
\(946\) | 10.3873 | − | 31.9689i | 0.337721 | − | 1.03940i | ||||
\(947\) | 9.51917 | + | 0.498878i | 0.309331 | + | 0.0162114i | 0.206370 | − | 0.978474i | \(-0.433835\pi\) |
0.102961 | + | 0.994685i | \(0.467168\pi\) | |||||||
\(948\) | −4.51983 | + | 39.5961i | −0.146797 | + | 1.28602i | ||||
\(949\) | 32.6627 | − | 18.8578i | 1.06027 | − | 0.612150i | ||||
\(950\) | 14.6363 | − | 48.4542i | 0.474865 | − | 1.57206i | ||||
\(951\) | 21.0730 | + | 10.9755i | 0.683339 | + | 0.355906i | ||||
\(952\) | −7.34928 | − | 10.1907i | −0.238192 | − | 0.330281i | ||||
\(953\) | 37.0523 | − | 18.8791i | 1.20024 | − | 0.611553i | 0.264549 | − | 0.964372i | \(-0.414777\pi\) |
0.935692 | + | 0.352819i | \(0.114777\pi\) | |||||||
\(954\) | 21.7883 | + | 5.03987i | 0.705422 | + | 0.163172i | ||||
\(955\) | −16.8380 | + | 14.6867i | −0.544864 | + | 0.475251i | ||||
\(956\) | −34.6360 | − | 31.1864i | −1.12021 | − | 1.00864i | ||||
\(957\) | −2.63499 | + | 11.8739i | −0.0851771 | + | 0.383827i | ||||
\(958\) | 31.7441 | + | 16.1744i | 1.02560 | + | 0.522572i | ||||
\(959\) | 2.48992 | + | 16.0870i | 0.0804037 | + | 0.519478i | ||||
\(960\) | −40.1996 | − | 5.23237i | −1.29744 | − | 0.168874i | ||||
\(961\) | −6.76451 | − | 64.3600i | −0.218210 | − | 2.07613i | ||||
\(962\) | 12.8572 | + | 15.8773i | 0.414532 | + | 0.511904i | ||||
\(963\) | 21.6361 | + | 6.21390i | 0.697214 | + | 0.200240i | ||||
\(964\) | −42.4122 | + | 4.45770i | −1.36600 | + | 0.143573i | ||||
\(965\) | 0.0694086 | + | 1.89637i | 0.00223434 | + | 0.0610463i | ||||
\(966\) | −10.6788 | − | 53.5090i | −0.343585 | − | 1.72162i | ||||
\(967\) | −2.83548 | + | 5.56495i | −0.0911829 | + | 0.178957i | −0.932094 | − | 0.362217i | \(-0.882020\pi\) |
0.840911 | + | 0.541174i | \(0.182020\pi\) | |||||||
\(968\) | 6.10883 | − | 1.63686i | 0.196345 | − | 0.0526106i | ||||
\(969\) | 19.5772 | + | 52.3952i | 0.628910 | + | 1.68318i | ||||
\(970\) | −2.61767 | − | 29.3527i | −0.0840482 | − | 0.942460i | ||||
\(971\) | −25.0089 | + | 22.5181i | −0.802573 | + | 0.722640i | −0.964477 | − | 0.264167i | \(-0.914903\pi\) |
0.161904 | + | 0.986806i | \(0.448236\pi\) | |||||||
\(972\) | 34.1943 | + | 12.8257i | 1.09678 | + | 0.411385i | ||||
\(973\) | −2.10939 | − | 20.7726i | −0.0676239 | − | 0.665939i | ||||
\(974\) | 77.7708 | 2.49194 | ||||||||
\(975\) | −25.7345 | − | 8.02515i | −0.824163 | − | 0.257010i | ||||
\(976\) | −0.300488 | − | 0.520461i | −0.00961840 | − | 0.0166596i | ||||
\(977\) | 30.6845 | − | 11.7787i | 0.981683 | − | 0.376833i | 0.186002 | − | 0.982549i | \(-0.440447\pi\) |
0.795680 | + | 0.605717i | \(0.207113\pi\) | |||||||
\(978\) | −55.5667 | − | 32.7470i | −1.77683 | − | 1.04713i | ||||
\(979\) | 5.31229 | + | 1.72607i | 0.169781 | + | 0.0551653i | ||||
\(980\) | −31.3310 | − | 19.0550i | −1.00083 | − | 0.608689i | ||||
\(981\) | −28.4698 | + | 37.7477i | −0.908972 | + | 1.20519i | ||||
\(982\) | 13.0351 | − | 3.49274i | 0.415966 | − | 0.111458i | ||||
\(983\) | −6.57886 | + | 0.344783i | −0.209833 | + | 0.0109969i | −0.156963 | − | 0.987605i | \(-0.550170\pi\) |
−0.0528701 | + | 0.998601i | \(0.516837\pi\) | |||||||
\(984\) | 2.01149 | − | 3.03764i | 0.0641239 | − | 0.0968364i | ||||
\(985\) | −20.8400 | + | 20.1926i | −0.664017 | + | 0.643390i | ||||
\(986\) | 39.0249 | + | 53.7131i | 1.24281 | + | 1.71058i | ||||
\(987\) | −1.43729 | + | 22.1436i | −0.0457494 | + | 0.704838i | ||||
\(988\) | 34.9888 | − | 5.54168i | 1.11314 | − | 0.176304i | ||||
\(989\) | −6.57479 | − | 62.5550i | −0.209066 | − | 1.98913i | ||||
\(990\) | 19.9522 | − | 4.63277i | 0.634123 | − | 0.147239i | ||||
\(991\) | 1.73145 | − | 16.4736i | 0.0550013 | − | 0.523302i | −0.931985 | − | 0.362497i | \(-0.881924\pi\) |
0.986986 | − | 0.160805i | \(-0.0514090\pi\) | |||||||
\(992\) | 66.3859 | − | 43.1115i | 2.10775 | − | 1.36879i | ||||
\(993\) | 3.51775 | + | 11.1651i | 0.111633 | + | 0.354313i | ||||
\(994\) | 1.53727 | + | 31.4507i | 0.0487593 | + | 0.997557i | ||||
\(995\) | 8.40499 | + | 7.81146i | 0.266456 | + | 0.247640i | ||||
\(996\) | −14.0183 | − | 54.2518i | −0.444187 | − | 1.71903i | ||||
\(997\) | −34.6919 | − | 22.5292i | −1.09870 | − | 0.713506i | −0.137819 | − | 0.990457i | \(-0.544009\pi\) |
−0.960884 | + | 0.276951i | \(0.910676\pi\) | |||||||
\(998\) | −7.70885 | − | 20.0822i | −0.244019 | − | 0.635692i | ||||
\(999\) | 15.1159 | + | 6.27240i | 0.478247 | + | 0.198450i |
(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 | 525.2.bs.a.2.12 | ✓ | 1216 | |
3.2 | odd | 2 | inner | 525.2.bs.a.2.65 | yes | 1216 | |
7.4 | even | 3 | inner | 525.2.bs.a.452.65 | yes | 1216 | |
21.11 | odd | 6 | inner | 525.2.bs.a.452.12 | yes | 1216 | |
25.13 | odd | 20 | inner | 525.2.bs.a.338.12 | yes | 1216 | |
75.38 | even | 20 | inner | 525.2.bs.a.338.65 | yes | 1216 | |
175.88 | odd | 60 | inner | 525.2.bs.a.263.65 | yes | 1216 | |
525.263 | even | 60 | inner | 525.2.bs.a.263.12 | yes | 1216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bs.a.2.12 | ✓ | 1216 | 1.1 | even | 1 | trivial | |
525.2.bs.a.2.65 | yes | 1216 | 3.2 | odd | 2 | inner | |
525.2.bs.a.263.12 | yes | 1216 | 525.263 | even | 60 | inner | |
525.2.bs.a.263.65 | yes | 1216 | 175.88 | odd | 60 | inner | |
525.2.bs.a.338.12 | yes | 1216 | 25.13 | odd | 20 | inner | |
525.2.bs.a.338.65 | yes | 1216 | 75.38 | even | 20 | inner | |
525.2.bs.a.452.12 | yes | 1216 | 21.11 | odd | 6 | inner | |
525.2.bs.a.452.65 | yes | 1216 | 7.4 | even | 3 | inner |