Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.48 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.48 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809145 | − | 2.06167i | 0.572152 | − | 1.45782i | −0.292903 | − | 0.956142i | \(-0.594621\pi\) |
0.865055 | − | 0.501677i | \(-0.167283\pi\) | |||||||
\(3\) | 1.12335 | − | 1.31836i | 0.648567 | − | 0.761157i | ||||
\(4\) | −2.12965 | − | 1.97603i | −1.06483 | − | 0.988014i | ||||
\(5\) | 0.273168 | − | 0.131551i | 0.122164 | − | 0.0588313i | −0.371803 | − | 0.928312i | \(-0.621260\pi\) |
0.493968 | + | 0.869480i | \(0.335546\pi\) | |||||||
\(6\) | −1.80907 | − | 3.38272i | −0.738550 | − | 1.38099i | ||||
\(7\) | 2.25571 | − | 1.38268i | 0.852576 | − | 0.522602i | ||||
\(8\) | −1.80624 | + | 0.869840i | −0.638603 | + | 0.307535i | ||||
\(9\) | −0.476161 | − | 2.96197i | −0.158720 | − | 0.987324i | ||||
\(10\) | −0.0501815 | − | 0.669625i | −0.0158688 | − | 0.211754i | ||||
\(11\) | 2.70649 | + | 3.39383i | 0.816037 | + | 1.02328i | 0.999192 | + | 0.0401935i | \(0.0127974\pi\) |
−0.183155 | + | 0.983084i | \(0.558631\pi\) | |||||||
\(12\) | −4.99747 | + | 0.587879i | −1.44265 | + | 0.169706i | ||||
\(13\) | −0.884005 | + | 2.25241i | −0.245179 | + | 0.624706i | −0.999494 | − | 0.0318067i | \(-0.989874\pi\) |
0.754315 | + | 0.656513i | \(0.227969\pi\) | |||||||
\(14\) | −1.02543 | − | 5.76930i | −0.274057 | − | 1.54191i | ||||
\(15\) | 0.133432 | − | 0.507912i | 0.0344520 | − | 0.131142i | ||||
\(16\) | −0.102400 | − | 1.36643i | −0.0256000 | − | 0.341608i | ||||
\(17\) | −0.427834 | + | 0.396972i | −0.103765 | + | 0.0962798i | −0.730349 | − | 0.683074i | \(-0.760643\pi\) |
0.626585 | + | 0.779353i | \(0.284452\pi\) | |||||||
\(18\) | −6.49188 | − | 1.41498i | −1.53015 | − | 0.333513i | ||||
\(19\) | −3.54066 | + | 6.13261i | −0.812284 | + | 1.40692i | 0.0989775 | + | 0.995090i | \(0.468443\pi\) |
−0.911262 | + | 0.411828i | \(0.864891\pi\) | |||||||
\(20\) | −0.841701 | − | 0.259630i | −0.188210 | − | 0.0580551i | ||||
\(21\) | 0.711082 | − | 4.52707i | 0.155171 | − | 0.987888i | ||||
\(22\) | 9.18688 | − | 2.83378i | 1.95865 | − | 0.604164i | ||||
\(23\) | −1.73550 | + | 7.60372i | −0.361877 | + | 1.58549i | 0.386550 | + | 0.922268i | \(0.373667\pi\) |
−0.748427 | + | 0.663217i | \(0.769190\pi\) | |||||||
\(24\) | −0.882280 | + | 3.35842i | −0.180095 | + | 0.685534i | ||||
\(25\) | −3.06013 | + | 3.83729i | −0.612027 | + | 0.767457i | ||||
\(26\) | 3.92843 | + | 3.64505i | 0.770428 | + | 0.714853i | ||||
\(27\) | −4.43985 | − | 2.69958i | −0.854449 | − | 0.519535i | ||||
\(28\) | −7.53608 | − | 1.51272i | −1.42418 | − | 0.285877i | ||||
\(29\) | −7.33301 | − | 2.26193i | −1.36171 | − | 0.420030i | −0.474033 | − | 0.880507i | \(-0.657202\pi\) |
−0.887672 | + | 0.460476i | \(0.847679\pi\) | |||||||
\(30\) | −0.939180 | − | 0.686067i | −0.171470 | − | 0.125258i | ||||
\(31\) | 3.13731 | − | 5.43398i | 0.563478 | − | 0.975972i | −0.433712 | − | 0.901052i | \(-0.642796\pi\) |
0.997190 | − | 0.0749201i | \(-0.0238702\pi\) | |||||||
\(32\) | −6.73140 | − | 2.07636i | −1.18996 | − | 0.367053i | ||||
\(33\) | 7.51463 | + | 0.244330i | 1.30813 | + | 0.0425324i | ||||
\(34\) | 0.472244 | + | 1.20326i | 0.0809892 | + | 0.206357i | ||||
\(35\) | 0.434294 | − | 0.674443i | 0.0734091 | − | 0.114002i | ||||
\(36\) | −4.83888 | + | 7.24888i | −0.806480 | + | 1.20815i | ||||
\(37\) | 9.26901 | + | 2.85911i | 1.52382 | + | 0.470035i | 0.939805 | − | 0.341711i | \(-0.111006\pi\) |
0.584011 | + | 0.811746i | \(0.301483\pi\) | |||||||
\(38\) | 9.77849 | + | 12.2618i | 1.58628 | + | 1.98913i | ||||
\(39\) | 1.97644 | + | 3.69569i | 0.316484 | + | 0.591784i | ||||
\(40\) | −0.378979 | + | 0.475225i | −0.0599219 | + | 0.0751397i | ||||
\(41\) | −6.84662 | − | 4.66795i | −1.06926 | − | 0.729011i | −0.105137 | − | 0.994458i | \(-0.533528\pi\) |
−0.964125 | + | 0.265447i | \(0.914480\pi\) | |||||||
\(42\) | −8.75794 | − | 5.12907i | −1.35138 | − | 0.791433i | ||||
\(43\) | 7.64202 | − | 5.21024i | 1.16540 | − | 0.794554i | 0.183324 | − | 0.983053i | \(-0.441314\pi\) |
0.982073 | + | 0.188498i | \(0.0603620\pi\) | |||||||
\(44\) | 0.942424 | − | 12.5758i | 0.142076 | − | 1.89587i | ||||
\(45\) | −0.519722 | − | 0.746476i | −0.0774755 | − | 0.111278i | ||||
\(46\) | 14.2721 | + | 9.73054i | 2.10430 | + | 1.43469i | ||||
\(47\) | −2.33174 | + | 5.94117i | −0.340119 | + | 0.866608i | 0.653818 | + | 0.756652i | \(0.273166\pi\) |
−0.993936 | + | 0.109956i | \(0.964929\pi\) | |||||||
\(48\) | −1.91648 | − | 1.39998i | −0.276621 | − | 0.202070i | ||||
\(49\) | 3.17641 | − | 6.23782i | 0.453773 | − | 0.891117i | ||||
\(50\) | 5.43512 | + | 9.41390i | 0.768642 | + | 1.33133i | ||||
\(51\) | 0.0427449 | + | 1.00998i | 0.00598549 | + | 0.141425i | ||||
\(52\) | 6.33345 | − | 3.05003i | 0.878292 | − | 0.422963i | ||||
\(53\) | 5.06147 | − | 1.56126i | 0.695247 | − | 0.214455i | 0.0730639 | − | 0.997327i | \(-0.476722\pi\) |
0.622183 | + | 0.782872i | \(0.286246\pi\) | |||||||
\(54\) | −9.15812 | + | 6.96914i | −1.24626 | + | 0.948380i | ||||
\(55\) | 1.18579 | + | 0.571045i | 0.159891 | + | 0.0769996i | ||||
\(56\) | −2.87164 | + | 4.45955i | −0.383739 | + | 0.595932i | ||||
\(57\) | 4.10759 | + | 11.5570i | 0.544064 | + | 1.53076i | ||||
\(58\) | −10.5968 | + | 13.2880i | −1.39143 | + | 1.74480i | ||||
\(59\) | −6.52391 | + | 4.44793i | −0.849341 | + | 0.579071i | −0.907887 | − | 0.419214i | \(-0.862306\pi\) |
0.0585468 | + | 0.998285i | \(0.481353\pi\) | |||||||
\(60\) | −1.28781 | + | 0.818011i | −0.166256 | + | 0.105605i | ||||
\(61\) | 0.637498 | − | 0.591512i | 0.0816233 | − | 0.0757354i | −0.638306 | − | 0.769783i | \(-0.720365\pi\) |
0.719929 | + | 0.694047i | \(0.244174\pi\) | |||||||
\(62\) | −8.66452 | − | 10.8650i | −1.10040 | − | 1.37985i | ||||
\(63\) | −5.16953 | − | 6.02296i | −0.651299 | − | 0.758821i | ||||
\(64\) | −8.01876 | + | 10.0552i | −1.00234 | + | 1.25690i | ||||
\(65\) | 0.0548242 | + | 0.731578i | 0.00680010 | + | 0.0907410i | ||||
\(66\) | 6.58415 | − | 15.2950i | 0.810453 | − | 1.88268i | ||||
\(67\) | 3.88796 | − | 6.73415i | 0.474990 | − | 0.822707i | −0.524599 | − | 0.851349i | \(-0.675785\pi\) |
0.999590 | + | 0.0286419i | \(0.00911825\pi\) | |||||||
\(68\) | 1.69556 | 0.205617 | ||||||||
\(69\) | 8.07489 | + | 10.8297i | 0.972102 | + | 1.30374i | ||||
\(70\) | −1.03907 | − | 1.44109i | −0.124193 | − | 0.172243i | ||||
\(71\) | 0.974466 | − | 4.26942i | 0.115648 | − | 0.506686i | −0.883612 | − | 0.468220i | \(-0.844896\pi\) |
0.999260 | − | 0.0384666i | \(-0.0122473\pi\) | |||||||
\(72\) | 3.43650 | + | 4.93585i | 0.404996 | + | 0.581696i | ||||
\(73\) | 5.06434 | + | 0.763327i | 0.592736 | + | 0.0893406i | 0.438559 | − | 0.898703i | \(-0.355489\pi\) |
0.154178 | + | 0.988043i | \(0.450727\pi\) | |||||||
\(74\) | 13.3945 | − | 16.7962i | 1.55708 | − | 1.95252i | ||||
\(75\) | 1.62133 | + | 8.34499i | 0.187215 | + | 0.963596i | ||||
\(76\) | 19.6586 | − | 6.06388i | 2.25500 | − | 0.695574i | ||||
\(77\) | 10.7976 | + | 3.91328i | 1.23050 | + | 0.445960i | ||||
\(78\) | 9.21851 | − | 1.08442i | 1.04379 | − | 0.122787i | ||||
\(79\) | −1.66074 | − | 2.87649i | −0.186848 | − | 0.323630i | 0.757350 | − | 0.653009i | \(-0.226494\pi\) |
−0.944198 | + | 0.329379i | \(0.893160\pi\) | |||||||
\(80\) | −0.207727 | − | 0.359794i | −0.0232246 | − | 0.0402262i | ||||
\(81\) | −8.54654 | + | 2.82075i | −0.949616 | + | 0.313417i | ||||
\(82\) | −15.1637 | + | 10.3384i | −1.67455 | + | 1.14169i | ||||
\(83\) | −0.997458 | − | 2.54148i | −0.109485 | − | 0.278964i | 0.865622 | − | 0.500698i | \(-0.166923\pi\) |
−0.975107 | + | 0.221735i | \(0.928828\pi\) | |||||||
\(84\) | −10.4600 | + | 8.23597i | −1.14128 | + | 0.898618i | ||||
\(85\) | −0.0646485 | + | 0.164722i | −0.00701212 | + | 0.0178666i | ||||
\(86\) | −4.55828 | − | 19.9711i | −0.491532 | − | 2.15354i | ||||
\(87\) | −11.2196 | + | 7.12662i | −1.20287 | + | 0.764054i | ||||
\(88\) | −7.84066 | − | 3.77586i | −0.835817 | − | 0.402508i | ||||
\(89\) | −1.95844 | − | 4.99001i | −0.207594 | − | 0.528940i | 0.788717 | − | 0.614756i | \(-0.210746\pi\) |
−0.996311 | + | 0.0858159i | \(0.972650\pi\) | |||||||
\(90\) | −1.95952 | + | 0.467486i | −0.206551 | + | 0.0492773i | ||||
\(91\) | 1.12030 | + | 6.30306i | 0.117439 | + | 0.660741i | ||||
\(92\) | 18.7212 | − | 12.7639i | 1.95182 | − | 1.33073i | ||||
\(93\) | −3.63965 | − | 10.2404i | −0.377415 | − | 1.06188i | ||||
\(94\) | 10.3620 | + | 9.61453i | 1.06876 | + | 0.991663i | ||||
\(95\) | −0.160447 | + | 2.14101i | −0.0164615 | + | 0.219663i | ||||
\(96\) | −10.2991 | + | 6.54195i | −1.05115 | + | 0.667685i | ||||
\(97\) | 1.87614 | − | 3.24957i | 0.190493 | − | 0.329944i | −0.754921 | − | 0.655816i | \(-0.772325\pi\) |
0.945414 | + | 0.325872i | \(0.105658\pi\) | |||||||
\(98\) | −10.2901 | − | 11.5960i | −1.03946 | − | 1.17137i | ||||
\(99\) | 8.76369 | − | 9.63254i | 0.880784 | − | 0.968107i | ||||
\(100\) | 14.0996 | − | 2.12517i | 1.40996 | − | 0.212517i | ||||
\(101\) | −9.29528 | + | 4.47637i | −0.924915 | + | 0.445416i | −0.834823 | − | 0.550518i | \(-0.814430\pi\) |
−0.0900918 | + | 0.995933i | \(0.528716\pi\) | |||||||
\(102\) | 2.11683 | + | 0.729093i | 0.209597 | + | 0.0721910i | ||||
\(103\) | −12.1265 | + | 5.83982i | −1.19486 | + | 0.575415i | −0.922207 | − | 0.386697i | \(-0.873616\pi\) |
−0.272654 | + | 0.962112i | \(0.587902\pi\) | |||||||
\(104\) | −0.362508 | − | 4.83734i | −0.0355469 | − | 0.474340i | ||||
\(105\) | −0.401295 | − | 1.33019i | −0.0391624 | − | 0.129814i | ||||
\(106\) | 0.876670 | − | 11.6984i | 0.0851497 | − | 1.13624i | ||||
\(107\) | −4.09908 | − | 10.4443i | −0.396273 | − | 1.00969i | −0.980223 | − | 0.197897i | \(-0.936589\pi\) |
0.583950 | − | 0.811790i | \(-0.301506\pi\) | |||||||
\(108\) | 4.12088 | + | 14.5224i | 0.396532 | + | 1.39742i | ||||
\(109\) | 2.64482 | − | 6.73890i | 0.253328 | − | 0.645469i | −0.746473 | − | 0.665416i | \(-0.768254\pi\) |
0.999801 | + | 0.0199464i | \(0.00634955\pi\) | |||||||
\(110\) | 2.13678 | − | 1.98264i | 0.203734 | − | 0.189037i | ||||
\(111\) | 14.1817 | − | 9.00813i | 1.34607 | − | 0.855014i | ||||
\(112\) | −2.12032 | − | 2.94068i | −0.200351 | − | 0.277868i | ||||
\(113\) | −1.79122 | − | 0.269983i | −0.168504 | − | 0.0253978i | 0.0642484 | − | 0.997934i | \(-0.479535\pi\) |
−0.232752 | + | 0.972536i | \(0.574773\pi\) | |||||||
\(114\) | 27.1502 | + | 0.882761i | 2.54285 | + | 0.0826781i | ||||
\(115\) | 0.526193 | + | 2.30540i | 0.0490677 | + | 0.214980i | ||||
\(116\) | 11.1471 | + | 19.3074i | 1.03498 | + | 1.79264i | ||||
\(117\) | 7.09250 | + | 1.54589i | 0.655702 | + | 0.142917i | ||||
\(118\) | 3.89136 | + | 17.0491i | 0.358228 | + | 1.56950i | ||||
\(119\) | −0.416183 | + | 1.48701i | −0.0381515 | + | 0.136314i | ||||
\(120\) | 0.200792 | + | 1.03348i | 0.0183297 | + | 0.0943431i | ||||
\(121\) | −1.74526 | + | 7.64649i | −0.158660 | + | 0.695136i | ||||
\(122\) | −0.703673 | − | 1.79293i | −0.0637075 | − | 0.162324i | ||||
\(123\) | −13.8452 | + | 3.78258i | −1.24838 | + | 0.341064i | ||||
\(124\) | −17.4191 | + | 5.37308i | −1.56428 | + | 0.482516i | ||||
\(125\) | −0.668467 | + | 2.92875i | −0.0597895 | + | 0.261955i | ||||
\(126\) | −16.6002 | + | 5.78440i | −1.47887 | + | 0.515315i | ||||
\(127\) | −3.33146 | − | 14.5961i | −0.295619 | − | 1.29519i | −0.876579 | − | 0.481259i | \(-0.840180\pi\) |
0.580960 | − | 0.813932i | \(-0.302677\pi\) | |||||||
\(128\) | 7.19779 | + | 12.4669i | 0.636201 | + | 1.10193i | ||||
\(129\) | 1.71569 | − | 15.9279i | 0.151058 | − | 1.40237i | ||||
\(130\) | 1.55263 | + | 0.478923i | 0.136175 | + | 0.0420043i | ||||
\(131\) | 3.80394 | + | 1.83188i | 0.332352 | + | 0.160052i | 0.592616 | − | 0.805485i | \(-0.298095\pi\) |
−0.260264 | + | 0.965538i | \(0.583810\pi\) | |||||||
\(132\) | −15.5208 | − | 15.3695i | −1.35091 | − | 1.33774i | ||||
\(133\) | 0.492719 | + | 18.7290i | 0.0427242 | + | 1.62401i | ||||
\(134\) | −10.7376 | − | 13.4646i | −0.927592 | − | 1.16316i | ||||
\(135\) | −1.56796 | − | 0.153374i | −0.134948 | − | 0.0132003i | ||||
\(136\) | 0.427469 | − | 1.08917i | 0.0366552 | − | 0.0933959i | ||||
\(137\) | 8.35826 | + | 4.02513i | 0.714094 | + | 0.343890i | 0.755406 | − | 0.655257i | \(-0.227439\pi\) |
−0.0413120 | + | 0.999146i | \(0.513154\pi\) | |||||||
\(138\) | 28.8609 | − | 7.88496i | 2.45681 | − | 0.671212i | ||||
\(139\) | 12.1480 | + | 8.28239i | 1.03038 | + | 0.702503i | 0.955591 | − | 0.294696i | \(-0.0952185\pi\) |
0.0747916 | + | 0.997199i | \(0.476171\pi\) | |||||||
\(140\) | −2.25761 | + | 0.578150i | −0.190803 | + | 0.0488626i | ||||
\(141\) | 5.21325 | + | 9.74809i | 0.439035 | + | 0.820937i | ||||
\(142\) | −8.01363 | − | 5.46360i | −0.672489 | − | 0.458495i | ||||
\(143\) | −10.0368 | + | 3.09595i | −0.839323 | + | 0.258897i | ||||
\(144\) | −3.99857 | + | 0.953947i | −0.333214 | + | 0.0794956i | ||||
\(145\) | −2.30070 | + | 0.346775i | −0.191063 | + | 0.0287981i | ||||
\(146\) | 5.67151 | − | 9.82334i | 0.469378 | − | 0.812986i | ||||
\(147\) | −4.65548 | − | 11.1949i | −0.383978 | − | 0.923342i | ||||
\(148\) | −14.0901 | − | 24.4047i | −1.15820 | − | 2.00606i | ||||
\(149\) | 9.65734 | + | 12.1099i | 0.791160 | + | 0.992084i | 0.999900 | + | 0.0141126i | \(0.00449232\pi\) |
−0.208740 | + | 0.977971i | \(0.566936\pi\) | |||||||
\(150\) | 18.5165 | + | 3.40966i | 1.51186 | + | 0.278398i | ||||
\(151\) | 1.92511 | − | 8.43446i | 0.156663 | − | 0.686387i | −0.834194 | − | 0.551471i | \(-0.814067\pi\) |
0.990857 | − | 0.134916i | \(-0.0430763\pi\) | |||||||
\(152\) | 1.06090 | − | 14.1568i | 0.0860507 | − | 1.14827i | ||||
\(153\) | 1.37954 | + | 1.07821i | 0.111529 | + | 0.0871680i | ||||
\(154\) | 16.8047 | − | 19.0947i | 1.35416 | − | 1.53869i | ||||
\(155\) | 0.142168 | − | 1.89710i | 0.0114192 | − | 0.152379i | ||||
\(156\) | 3.09365 | − | 11.7760i | 0.247690 | − | 0.942838i | ||||
\(157\) | −15.6760 | + | 10.6877i | −1.25108 | + | 0.852972i | −0.993561 | − | 0.113302i | \(-0.963857\pi\) |
−0.257519 | + | 0.966273i | \(0.582905\pi\) | |||||||
\(158\) | −7.27414 | + | 1.09640i | −0.578699 | + | 0.0872249i | ||||
\(159\) | 3.62751 | − | 8.42670i | 0.287680 | − | 0.668281i | ||||
\(160\) | −2.11195 | + | 0.318325i | −0.166964 | + | 0.0251658i | ||||
\(161\) | 6.59871 | + | 19.5514i | 0.520051 | + | 1.54087i | ||||
\(162\) | −1.09994 | + | 19.9025i | −0.0864192 | + | 1.56369i | ||||
\(163\) | −6.63784 | + | 4.52560i | −0.519916 | + | 0.354472i | −0.794670 | − | 0.607042i | \(-0.792356\pi\) |
0.274754 | + | 0.961515i | \(0.411404\pi\) | |||||||
\(164\) | 5.35692 | + | 23.4702i | 0.418306 | + | 1.83272i | ||||
\(165\) | 2.08490 | − | 0.921813i | 0.162309 | − | 0.0717630i | ||||
\(166\) | −6.04678 | −0.469321 | ||||||||
\(167\) | 7.03949 | − | 6.53169i | 0.544732 | − | 0.505437i | −0.359115 | − | 0.933293i | \(-0.616921\pi\) |
0.903847 | + | 0.427856i | \(0.140731\pi\) | |||||||
\(168\) | 2.65344 | + | 8.79551i | 0.204717 | + | 0.678588i | ||||
\(169\) | 5.23779 | + | 4.85996i | 0.402907 | + | 0.373843i | ||||
\(170\) | 0.287291 | + | 0.266568i | 0.0220343 | + | 0.0204448i | ||||
\(171\) | 19.8505 | + | 7.56723i | 1.51801 | + | 0.578681i | ||||
\(172\) | −26.5704 | − | 4.00485i | −2.02598 | − | 0.305367i | ||||
\(173\) | −14.6265 | + | 4.51167i | −1.11203 | + | 0.343016i | −0.795735 | − | 0.605645i | \(-0.792915\pi\) |
−0.316295 | + | 0.948661i | \(0.602439\pi\) | |||||||
\(174\) | 5.61444 | + | 28.8975i | 0.425629 | + | 2.19072i | ||||
\(175\) | −1.59704 | + | 12.8870i | −0.120725 | + | 0.974163i | ||||
\(176\) | 4.36029 | − | 4.04576i | 0.328669 | − | 0.304960i | ||||
\(177\) | −1.46467 | + | 13.5975i | −0.110091 | + | 1.02205i | ||||
\(178\) | −11.8724 | −0.889874 | ||||||||
\(179\) | 11.1259 | − | 10.3233i | 0.831590 | − | 0.771602i | −0.144377 | − | 0.989523i | \(-0.546118\pi\) |
0.975967 | + | 0.217920i | \(0.0699273\pi\) | |||||||
\(180\) | −0.368232 | + | 2.61672i | −0.0274464 | + | 0.195039i | ||||
\(181\) | 3.40371 | − | 4.26811i | 0.252996 | − | 0.317246i | −0.639073 | − | 0.769146i | \(-0.720682\pi\) |
0.892069 | + | 0.451899i | \(0.149253\pi\) | |||||||
\(182\) | 13.9013 | + | 2.79041i | 1.03043 | + | 0.206839i | ||||
\(183\) | −0.0636926 | − | 1.50493i | −0.00470829 | − | 0.111248i | ||||
\(184\) | −3.47929 | − | 15.2438i | −0.256497 | − | 1.12379i | ||||
\(185\) | 2.90812 | − | 0.438328i | 0.213809 | − | 0.0322265i | ||||
\(186\) | −24.0573 | − | 0.782196i | −1.76396 | − | 0.0573534i | ||||
\(187\) | −2.50518 | − | 0.377595i | −0.183197 | − | 0.0276125i | ||||
\(188\) | 16.7057 | − | 8.04504i | 1.21839 | − | 0.586745i | ||||
\(189\) | −13.7476 | + | 0.0494122i | −0.999994 | + | 0.00359421i | ||||
\(190\) | 4.28423 | + | 2.06317i | 0.310810 | + | 0.149678i | ||||
\(191\) | 3.86811 | + | 2.63723i | 0.279887 | + | 0.190824i | 0.695125 | − | 0.718889i | \(-0.255349\pi\) |
−0.415238 | + | 0.909713i | \(0.636302\pi\) | |||||||
\(192\) | 4.24852 | + | 21.8672i | 0.306611 | + | 1.57813i | ||||
\(193\) | 0.359581 | − | 4.79828i | 0.0258832 | − | 0.345388i | −0.969195 | − | 0.246295i | \(-0.920787\pi\) |
0.995078 | − | 0.0990930i | \(-0.0315941\pi\) | |||||||
\(194\) | −5.18146 | − | 6.49735i | −0.372007 | − | 0.466482i | ||||
\(195\) | 1.02607 | + | 0.749541i | 0.0734785 | + | 0.0536757i | ||||
\(196\) | −19.0908 | + | 7.00771i | −1.36363 | + | 0.500550i | ||||
\(197\) | 3.21344 | 0.228948 | 0.114474 | − | 0.993426i | \(-0.463482\pi\) | ||||
0.114474 | + | 0.993426i | \(0.463482\pi\) | |||||||
\(198\) | −12.7680 | − | 25.8619i | −0.907383 | − | 1.83793i | ||||
\(199\) | −15.2587 | − | 10.4032i | −1.08166 | − | 0.737463i | −0.114959 | − | 0.993370i | \(-0.536674\pi\) |
−0.966701 | + | 0.255907i | \(0.917626\pi\) | |||||||
\(200\) | 2.18952 | − | 9.59289i | 0.154822 | − | 0.678320i | ||||
\(201\) | −4.51050 | − | 12.6906i | −0.318146 | − | 0.895123i | ||||
\(202\) | 1.70756 | + | 22.7858i | 0.120144 | + | 1.60320i | ||||
\(203\) | −19.6686 | + | 5.03692i | −1.38047 | + | 0.353523i | ||||
\(204\) | 1.90472 | − | 2.23537i | 0.133357 | − | 0.156507i | ||||
\(205\) | −2.48435 | − | 0.374455i | −0.173514 | − | 0.0261531i | ||||
\(206\) | 2.22766 | + | 29.7261i | 0.155209 | + | 2.07112i | ||||
\(207\) | 23.3484 | + | 1.51990i | 1.62282 | + | 0.105640i | ||||
\(208\) | 3.16828 | + | 0.977286i | 0.219681 | + | 0.0677626i | ||||
\(209\) | −30.3958 | + | 4.58143i | −2.10252 | + | 0.316904i | ||||
\(210\) | −3.06712 | − | 0.248983i | −0.211652 | − | 0.0171815i | ||||
\(211\) | −0.163386 | − | 0.0246265i | −0.0112480 | − | 0.00169536i | 0.143416 | − | 0.989663i | \(-0.454191\pi\) |
−0.154664 | + | 0.987967i | \(0.549429\pi\) | |||||||
\(212\) | −13.8643 | − | 6.67668i | −0.952202 | − | 0.458556i | ||||
\(213\) | −4.53397 | − | 6.08076i | −0.310663 | − | 0.416647i | ||||
\(214\) | −24.8494 | −1.69867 | ||||||||
\(215\) | 1.40214 | − | 2.42858i | 0.0956254 | − | 0.165628i | ||||
\(216\) | 10.3676 | + | 1.01414i | 0.705429 | + | 0.0690034i | ||||
\(217\) | −0.436588 | − | 16.5953i | −0.0296375 | − | 1.12657i | ||||
\(218\) | −11.7533 | − | 10.9055i | −0.796035 | − | 0.738613i | ||||
\(219\) | 6.69538 | − | 5.81915i | 0.452432 | − | 0.393222i | ||||
\(220\) | −1.39691 | − | 3.55927i | −0.0941798 | − | 0.239966i | ||||
\(221\) | −0.515935 | − | 1.31458i | −0.0347056 | − | 0.0884283i | ||||
\(222\) | −7.09672 | − | 36.5268i | −0.476300 | − | 2.45152i | ||||
\(223\) | −10.8580 | − | 10.0748i | −0.727106 | − | 0.674656i | 0.227078 | − | 0.973877i | \(-0.427083\pi\) |
−0.954184 | + | 0.299221i | \(0.903273\pi\) | |||||||
\(224\) | −18.0550 | + | 4.62369i | −1.20635 | + | 0.308933i | ||||
\(225\) | 12.8230 | + | 7.23686i | 0.854870 | + | 0.482457i | ||||
\(226\) | −2.00597 | + | 3.47444i | −0.133435 | + | 0.231116i | ||||
\(227\) | −0.910203 | −0.0604123 | −0.0302061 | − | 0.999544i | \(-0.509616\pi\) | ||||
−0.0302061 | + | 0.999544i | \(0.509616\pi\) | |||||||
\(228\) | 14.0891 | − | 32.7290i | 0.933076 | − | 2.16753i | ||||
\(229\) | 12.3195 | + | 5.93278i | 0.814099 | + | 0.392049i | 0.794127 | − | 0.607751i | \(-0.207928\pi\) |
0.0199713 | + | 0.999801i | \(0.493643\pi\) | |||||||
\(230\) | 5.17873 | + | 0.780569i | 0.341476 | + | 0.0514692i | ||||
\(231\) | 17.2886 | − | 9.83917i | 1.13751 | − | 0.647370i | ||||
\(232\) | 15.2127 | − | 2.29295i | 0.998763 | − | 0.150539i | ||||
\(233\) | −20.3042 | − | 6.26302i | −1.33017 | − | 0.410304i | −0.453443 | − | 0.891285i | \(-0.649804\pi\) |
−0.876731 | + | 0.480981i | \(0.840281\pi\) | |||||||
\(234\) | 8.92597 | − | 13.3715i | 0.583509 | − | 0.874124i | ||||
\(235\) | 0.144609 | + | 1.92968i | 0.00943327 | + | 0.125878i | ||||
\(236\) | 22.6829 | + | 3.41890i | 1.47653 | + | 0.222551i | ||||
\(237\) | −5.65785 | − | 1.04185i | −0.367517 | − | 0.0676753i | ||||
\(238\) | 2.72896 | + | 2.06124i | 0.176892 | + | 0.133610i | ||||
\(239\) | 1.83084 | + | 24.4309i | 0.118427 | + | 1.58030i | 0.667553 | + | 0.744562i | \(0.267342\pi\) |
−0.549126 | + | 0.835740i | \(0.685039\pi\) | |||||||
\(240\) | −0.707691 | − | 0.130316i | −0.0456812 | − | 0.00841184i | ||||
\(241\) | −0.151209 | + | 0.662491i | −0.00974025 | + | 0.0426748i | −0.979565 | − | 0.201130i | \(-0.935539\pi\) |
0.969824 | + | 0.243805i | \(0.0783957\pi\) | |||||||
\(242\) | 14.3524 | + | 9.78527i | 0.922604 | + | 0.629021i | ||||
\(243\) | −5.88200 | + | 14.4361i | −0.377330 | + | 0.926079i | ||||
\(244\) | −2.52650 | −0.161742 | ||||||||
\(245\) | 0.0471043 | − | 2.12183i | 0.00300939 | − | 0.135559i | ||||
\(246\) | −3.40435 | + | 31.6049i | −0.217053 | + | 2.01505i | ||||
\(247\) | −10.6832 | − | 13.3963i | −0.679755 | − | 0.852385i | ||||
\(248\) | −0.940046 | + | 12.5440i | −0.0596930 | + | 0.796547i | ||||
\(249\) | −4.47109 | − | 1.53997i | −0.283344 | − | 0.0975914i | ||||
\(250\) | 5.49721 | + | 3.74794i | 0.347674 | + | 0.237040i | ||||
\(251\) | 5.41312 | + | 2.60682i | 0.341673 | + | 0.164541i | 0.596849 | − | 0.802354i | \(-0.296419\pi\) |
−0.255176 | + | 0.966895i | \(0.582133\pi\) | |||||||
\(252\) | −0.892241 | + | 23.0419i | −0.0562059 | + | 1.45151i | ||||
\(253\) | −30.5028 | + | 14.6894i | −1.91770 | + | 0.923514i | ||||
\(254\) | −32.7878 | − | 4.94197i | −2.05729 | − | 0.310087i | ||||
\(255\) | 0.144540 | + | 0.270271i | 0.00905145 | + | 0.0169250i | ||||
\(256\) | 6.09183 | − | 0.918196i | 0.380739 | − | 0.0573872i | ||||
\(257\) | 1.80997 | + | 7.93001i | 0.112903 | + | 0.494660i | 0.999485 | + | 0.0320889i | \(0.0102160\pi\) |
−0.886582 | + | 0.462571i | \(0.846927\pi\) | |||||||
\(258\) | −31.4498 | − | 16.4251i | −1.95798 | − | 1.02258i | ||||
\(259\) | 24.8614 | − | 6.36673i | 1.54481 | − | 0.395609i | ||||
\(260\) | 1.32886 | − | 1.66634i | 0.0824125 | − | 0.103342i | ||||
\(261\) | −3.20809 | + | 22.7972i | −0.198576 | + | 1.41111i | ||||
\(262\) | 6.85467 | − | 6.36021i | 0.423483 | − | 0.392935i | ||||
\(263\) | −2.80742 | −0.173113 | −0.0865564 | − | 0.996247i | \(-0.527586\pi\) | ||||
−0.0865564 | + | 0.996247i | \(0.527586\pi\) | |||||||
\(264\) | −13.7858 | + | 6.09521i | −0.848456 | + | 0.375134i | ||||
\(265\) | 1.17725 | − | 1.09233i | 0.0723177 | − | 0.0671010i | ||||
\(266\) | 39.0116 | + | 14.1386i | 2.39195 | + | 0.866894i | ||||
\(267\) | −8.77866 | − | 3.02361i | −0.537245 | − | 0.185042i | ||||
\(268\) | −21.5869 | + | 6.65867i | −1.31863 | + | 0.406743i | ||||
\(269\) | −23.5481 | − | 3.54931i | −1.43576 | − | 0.216405i | −0.615380 | − | 0.788231i | \(-0.710997\pi\) |
−0.820375 | + | 0.571825i | \(0.806236\pi\) | |||||||
\(270\) | −1.58491 | + | 3.10850i | −0.0964545 | + | 0.189177i | ||||
\(271\) | 2.62672 | + | 2.43724i | 0.159562 | + | 0.148052i | 0.755913 | − | 0.654672i | \(-0.227193\pi\) |
−0.596352 | + | 0.802723i | \(0.703384\pi\) | |||||||
\(272\) | 0.586245 | + | 0.543955i | 0.0355463 | + | 0.0329821i | ||||
\(273\) | 9.56821 | + | 5.60360i | 0.579095 | + | 0.339145i | ||||
\(274\) | 15.0615 | − | 13.9750i | 0.909899 | − | 0.844263i | ||||
\(275\) | −21.3053 | −1.28476 | ||||||||
\(276\) | 4.20304 | − | 39.0197i | 0.252993 | − | 2.34871i | ||||
\(277\) | 0.199847 | + | 0.875589i | 0.0120077 | + | 0.0526090i | 0.980577 | − | 0.196135i | \(-0.0628392\pi\) |
−0.968569 | + | 0.248744i | \(0.919982\pi\) | |||||||
\(278\) | 26.9050 | − | 18.3435i | 1.61366 | − | 1.10017i | ||||
\(279\) | −17.5892 | − | 6.70517i | −1.05304 | − | 0.401428i | ||||
\(280\) | −0.197783 | + | 1.59597i | −0.0118198 | + | 0.0953776i | ||||
\(281\) | 24.2431 | − | 3.65406i | 1.44622 | − | 0.217983i | 0.621453 | − | 0.783451i | \(-0.286543\pi\) |
0.824770 | + | 0.565468i | \(0.191305\pi\) | |||||||
\(282\) | 24.3156 | − | 2.86037i | 1.44797 | − | 0.170333i | ||||
\(283\) | 12.0350 | − | 1.81398i | 0.715407 | − | 0.107830i | 0.218754 | − | 0.975780i | \(-0.429801\pi\) |
0.496652 | + | 0.867950i | \(0.334563\pi\) | |||||||
\(284\) | −10.5118 | + | 7.16680i | −0.623758 | + | 0.425271i | ||||
\(285\) | 2.64239 | + | 2.61663i | 0.156522 | + | 0.154996i | ||||
\(286\) | −1.73843 | + | 23.1977i | −0.102795 | + | 1.37171i | ||||
\(287\) | −21.8982 | − | 1.06285i | −1.29261 | − | 0.0627382i | ||||
\(288\) | −2.94489 | + | 20.9269i | −0.173529 | + | 1.23313i | ||||
\(289\) | −1.24496 | + | 16.6128i | −0.0732327 | + | 0.977223i | ||||
\(290\) | −1.14667 | + | 5.02387i | −0.0673346 | + | 0.295012i | ||||
\(291\) | −2.17655 | − | 6.12384i | −0.127591 | − | 0.358986i | ||||
\(292\) | −9.27693 | − | 11.6329i | −0.542891 | − | 0.680764i | ||||
\(293\) | −4.68120 | − | 8.10808i | −0.273479 | − | 0.473679i | 0.696271 | − | 0.717779i | \(-0.254841\pi\) |
−0.969750 | + | 0.244099i | \(0.921508\pi\) | |||||||
\(294\) | −26.8472 | + | 0.539732i | −1.56576 | + | 0.0314778i | ||||
\(295\) | −1.19700 | + | 2.07326i | −0.0696917 | + | 0.120710i | ||||
\(296\) | −19.2290 | + | 2.89831i | −1.11767 | + | 0.168461i | ||||
\(297\) | −2.85448 | − | 22.3745i | −0.165634 | − | 1.29830i | ||||
\(298\) | 32.7808 | − | 10.1115i | 1.89894 | − | 0.585746i | ||||
\(299\) | −15.5925 | − | 10.6308i | −0.901738 | − | 0.614794i | ||||
\(300\) | 13.0371 | − | 20.9757i | 0.752696 | − | 1.21103i | ||||
\(301\) | 10.0341 | − | 22.3192i | 0.578354 | − | 1.28646i | ||||
\(302\) | −15.8314 | − | 10.7936i | −0.910993 | − | 0.621104i | ||||
\(303\) | −4.54039 | + | 17.2831i | −0.260839 | + | 0.992888i | ||||
\(304\) | 8.74236 | + | 4.21010i | 0.501408 | + | 0.241466i | ||||
\(305\) | 0.0963303 | − | 0.245446i | 0.00551586 | − | 0.0140542i | ||||
\(306\) | 3.33915 | − | 1.97172i | 0.190887 | − | 0.112716i | ||||
\(307\) | 9.83418 | + | 12.3317i | 0.561266 | + | 0.703806i | 0.978791 | − | 0.204860i | \(-0.0656738\pi\) |
−0.417525 | + | 0.908665i | \(0.637102\pi\) | |||||||
\(308\) | −15.2624 | − | 29.6703i | −0.869655 | − | 1.69062i | ||||
\(309\) | −5.92334 | + | 22.5473i | −0.336967 | + | 1.28267i | ||||
\(310\) | −3.79616 | − | 1.82814i | −0.215608 | − | 0.103831i | ||||
\(311\) | −14.2397 | − | 4.39235i | −0.807457 | − | 0.249068i | −0.136573 | − | 0.990630i | \(-0.543609\pi\) |
−0.670884 | + | 0.741562i | \(0.734085\pi\) | |||||||
\(312\) | −6.78459 | − | 4.95612i | −0.384102 | − | 0.280585i | ||||
\(313\) | 14.6949 | + | 25.4524i | 0.830606 | + | 1.43865i | 0.897558 | + | 0.440896i | \(0.145339\pi\) |
−0.0669520 | + | 0.997756i | \(0.521327\pi\) | |||||||
\(314\) | 9.35035 | + | 40.9666i | 0.527671 | + | 2.31188i | ||||
\(315\) | −2.20447 | − | 0.965224i | −0.124208 | − | 0.0543842i | ||||
\(316\) | −2.14722 | + | 9.40759i | −0.120791 | + | 0.529218i | ||||
\(317\) | 3.62998 | − | 1.11970i | 0.203880 | − | 0.0628887i | −0.191133 | − | 0.981564i | \(-0.561216\pi\) |
0.395013 | + | 0.918675i | \(0.370740\pi\) | |||||||
\(318\) | −14.4379 | − | 14.2971i | −0.809635 | − | 0.801744i | ||||
\(319\) | −12.1701 | − | 31.0089i | −0.681394 | − | 1.73616i | ||||
\(320\) | −0.867698 | + | 3.80163i | −0.0485058 | + | 0.212518i | ||||
\(321\) | −18.3741 | − | 6.32853i | −1.02554 | − | 0.353224i | ||||
\(322\) | 45.6478 | + | 2.21556i | 2.54385 | + | 0.123469i | ||||
\(323\) | −0.919657 | − | 4.02928i | −0.0511711 | − | 0.224195i | ||||
\(324\) | 23.7751 | + | 10.8810i | 1.32084 | + | 0.604499i | ||||
\(325\) | −5.93796 | − | 10.2849i | −0.329379 | − | 0.570501i | ||||
\(326\) | 3.95931 | + | 17.3469i | 0.219286 | + | 0.960755i | ||||
\(327\) | −5.91325 | − | 11.0570i | −0.327003 | − | 0.611453i | ||||
\(328\) | 16.4270 | + | 2.47597i | 0.907030 | + | 0.136713i | ||||
\(329\) | 2.95500 | + | 16.6256i | 0.162914 | + | 0.916596i | ||||
\(330\) | −0.213486 | − | 5.04425i | −0.0117520 | − | 0.277677i | ||||
\(331\) | 17.5715 | − | 16.3039i | 0.965815 | − | 0.896146i | −0.0288206 | − | 0.999585i | \(-0.509175\pi\) |
0.994636 | + | 0.103439i | \(0.0329847\pi\) | |||||||
\(332\) | −2.89780 | + | 7.38348i | −0.159038 | + | 0.405221i | ||||
\(333\) | 4.05506 | − | 28.8159i | 0.222216 | − | 1.57910i | ||||
\(334\) | −7.77021 | − | 19.7982i | −0.425167 | − | 1.08331i | ||||
\(335\) | 0.176184 | − | 2.35102i | 0.00962599 | − | 0.128450i | ||||
\(336\) | −6.25874 | − | 0.508073i | −0.341443 | − | 0.0277177i | ||||
\(337\) | 0.468699 | + | 6.25435i | 0.0255317 | + | 0.340696i | 0.995312 | + | 0.0967165i | \(0.0308340\pi\) |
−0.969780 | + | 0.243980i | \(0.921547\pi\) | |||||||
\(338\) | 14.2578 | − | 6.86617i | 0.775520 | − | 0.373471i | ||||
\(339\) | −2.36810 | + | 2.05819i | −0.128618 | + | 0.111786i | ||||
\(340\) | 0.463174 | − | 0.223053i | 0.0251191 | − | 0.0120967i | ||||
\(341\) | 26.9331 | − | 4.05951i | 1.45851 | − | 0.219835i | ||||
\(342\) | 31.6631 | − | 34.8022i | 1.71214 | − | 1.88189i | ||||
\(343\) | −1.45983 | − | 18.4626i | −0.0788236 | − | 0.996889i | ||||
\(344\) | −9.27126 | + | 16.0583i | −0.499873 | + | 0.865805i | ||||
\(345\) | 3.63045 | + | 1.89606i | 0.195457 | + | 0.102081i | ||||
\(346\) | −2.53337 | + | 33.8055i | −0.136195 | + | 1.81740i | ||||
\(347\) | 6.69722 | + | 6.21411i | 0.359526 | + | 0.333591i | 0.839167 | − | 0.543873i | \(-0.183043\pi\) |
−0.479642 | + | 0.877464i | \(0.659233\pi\) | |||||||
\(348\) | 37.9762 | + | 6.99303i | 2.03574 | + | 0.374866i | ||||
\(349\) | 10.2780 | − | 7.00745i | 0.550171 | − | 0.375100i | −0.256097 | − | 0.966651i | \(-0.582437\pi\) |
0.806267 | + | 0.591551i | \(0.201484\pi\) | |||||||
\(350\) | 25.2764 | + | 13.7200i | 1.35108 | + | 0.733363i | ||||
\(351\) | 10.0054 | − | 7.61391i | 0.534049 | − | 0.406401i | ||||
\(352\) | −11.1716 | − | 28.4649i | −0.595450 | − | 1.51718i | ||||
\(353\) | 20.8380 | + | 10.0351i | 1.10910 | + | 0.534113i | 0.896507 | − | 0.443029i | \(-0.146096\pi\) |
0.212590 | + | 0.977142i | \(0.431810\pi\) | |||||||
\(354\) | 26.8483 | + | 14.0220i | 1.42697 | + | 0.745259i | ||||
\(355\) | −0.295452 | − | 1.29446i | −0.0156810 | − | 0.0687028i | ||||
\(356\) | −5.68962 | + | 14.4969i | −0.301549 | + | 0.768335i | ||||
\(357\) | 1.49289 | + | 2.21911i | 0.0790123 | + | 0.117448i | ||||
\(358\) | −12.2808 | − | 31.2910i | −0.649061 | − | 1.65378i | ||||
\(359\) | −2.04991 | + | 1.39760i | −0.108190 | + | 0.0737626i | −0.616206 | − | 0.787585i | \(-0.711331\pi\) |
0.508016 | + | 0.861347i | \(0.330379\pi\) | |||||||
\(360\) | 1.58806 | + | 0.896242i | 0.0836980 | + | 0.0472361i | ||||
\(361\) | −15.5726 | − | 26.9726i | −0.819611 | − | 1.41961i | ||||
\(362\) | −6.04534 | − | 10.4708i | −0.317736 | − | 0.550335i | ||||
\(363\) | 8.12031 | + | 10.8906i | 0.426206 | + | 0.571608i | ||||
\(364\) | 10.0692 | − | 15.6371i | 0.527769 | − | 0.819606i | ||||
\(365\) | 1.48383 | − | 0.457702i | 0.0776673 | − | 0.0239572i | ||||
\(366\) | −3.15420 | − | 1.08639i | −0.164873 | − | 0.0567867i | ||||
\(367\) | 10.6825 | − | 13.3954i | 0.557623 | − | 0.699237i | −0.420494 | − | 0.907295i | \(-0.638143\pi\) |
0.978116 | + | 0.208059i | \(0.0667145\pi\) | |||||||
\(368\) | 10.5677 | + | 1.59282i | 0.550878 | + | 0.0830316i | ||||
\(369\) | −10.5662 | + | 22.5022i | −0.550056 | + | 1.17142i | ||||
\(370\) | 1.44940 | − | 6.35024i | 0.0753507 | − | 0.330133i | ||||
\(371\) | 9.25847 | − | 10.5201i | 0.480676 | − | 0.546177i | ||||
\(372\) | −12.4841 | + | 29.0005i | −0.647270 | + | 1.50361i | ||||
\(373\) | −23.1873 | −1.20059 | −0.600297 | − | 0.799777i | \(-0.704951\pi\) | ||||
−0.600297 | + | 0.799777i | \(0.704951\pi\) | |||||||
\(374\) | −2.80553 | + | 4.85932i | −0.145070 | + | 0.251269i | ||||
\(375\) | 3.11023 | + | 4.17129i | 0.160611 | + | 0.215405i | ||||
\(376\) | −0.956186 | − | 12.7594i | −0.0493115 | − | 0.658017i | ||||
\(377\) | 11.5772 | − | 14.5174i | 0.596257 | − | 0.747683i | ||||
\(378\) | −11.0220 | + | 28.3830i | −0.566908 | + | 1.45987i | ||||
\(379\) | 8.45257 | + | 10.5992i | 0.434179 | + | 0.544444i | 0.949999 | − | 0.312254i | \(-0.101084\pi\) |
−0.515819 | + | 0.856697i | \(0.672512\pi\) | |||||||
\(380\) | 4.57239 | − | 4.24256i | 0.234559 | − | 0.217639i | ||||
\(381\) | −22.9853 | − | 12.0044i | −1.17757 | − | 0.615006i | ||||
\(382\) | 8.56696 | − | 5.84086i | 0.438324 | − | 0.298844i | ||||
\(383\) | 8.25635 | − | 10.3531i | 0.421880 | − | 0.529020i | −0.524788 | − | 0.851233i | \(-0.675855\pi\) |
0.946667 | + | 0.322213i | \(0.104427\pi\) | |||||||
\(384\) | 24.5216 | + | 4.51546i | 1.25136 | + | 0.230428i | ||||
\(385\) | 3.46435 | − | 0.351450i | 0.176560 | − | 0.0179116i | ||||
\(386\) | −9.60151 | − | 4.62384i | −0.488704 | − | 0.235347i | ||||
\(387\) | −19.0714 | − | 20.1545i | −0.969454 | − | 1.02451i | ||||
\(388\) | −10.4168 | + | 3.21315i | −0.528831 | + | 0.163123i | ||||
\(389\) | 12.4525 | − | 5.99680i | 0.631366 | − | 0.304050i | −0.0906954 | − | 0.995879i | \(-0.528909\pi\) |
0.722062 | + | 0.691829i | \(0.243195\pi\) | |||||||
\(390\) | 2.37554 | − | 1.50893i | 0.120290 | − | 0.0764077i | ||||
\(391\) | −2.27596 | − | 3.94207i | −0.115100 | − | 0.199359i | ||||
\(392\) | −0.311463 | + | 14.0300i | −0.0157313 | + | 0.708621i | ||||
\(393\) | 6.68825 | − | 2.95713i | 0.337378 | − | 0.149167i | ||||
\(394\) | 2.60013 | − | 6.62503i | 0.130993 | − | 0.333764i | ||||
\(395\) | −0.832065 | − | 0.567292i | −0.0418657 | − | 0.0285436i | ||||
\(396\) | −37.6978 | + | 3.19666i | −1.89439 | + | 0.160638i | ||||
\(397\) | 2.19871 | − | 29.3398i | 0.110350 | − | 1.47252i | −0.617383 | − | 0.786663i | \(-0.711807\pi\) |
0.727734 | − | 0.685860i | \(-0.240574\pi\) | |||||||
\(398\) | −33.7944 | + | 23.0406i | −1.69396 | + | 1.15492i | ||||
\(399\) | 25.2451 | + | 20.3896i | 1.26383 | + | 1.02076i | ||||
\(400\) | 5.55675 | + | 3.78852i | 0.277837 | + | 0.189426i | ||||
\(401\) | −23.1720 | + | 29.0568i | −1.15716 | + | 1.45103i | −0.287220 | + | 0.957865i | \(0.592731\pi\) |
−0.869936 | + | 0.493164i | \(0.835840\pi\) | |||||||
\(402\) | −29.8134 | − | 0.969350i | −1.48696 | − | 0.0483468i | ||||
\(403\) | 9.46615 | + | 11.8702i | 0.471542 | + | 0.591295i | ||||
\(404\) | 28.6412 | + | 8.83463i | 1.42495 | + | 0.439539i | ||||
\(405\) | −1.96357 | + | 1.89484i | −0.0975705 | + | 0.0941555i | ||||
\(406\) | −5.53031 | + | 44.6258i | −0.274465 | + | 2.21474i | ||||
\(407\) | 15.3831 | + | 39.1956i | 0.762513 | + | 1.94285i | ||||
\(408\) | −0.955728 | − | 1.78708i | −0.0473156 | − | 0.0884739i | ||||
\(409\) | −1.25190 | − | 0.386160i | −0.0619024 | − | 0.0190944i | 0.263649 | − | 0.964619i | \(-0.415074\pi\) |
−0.325552 | + | 0.945524i | \(0.605550\pi\) | |||||||
\(410\) | −2.78220 | + | 4.81891i | −0.137403 | + | 0.237989i | ||||
\(411\) | 14.6958 | − | 6.49759i | 0.724893 | − | 0.320502i | ||||
\(412\) | 37.3649 | + | 11.5256i | 1.84084 | + | 0.567823i | ||||
\(413\) | −8.56598 | + | 19.0537i | −0.421504 | + | 0.937570i | ||||
\(414\) | 22.0258 | − | 46.9068i | 1.08251 | − | 2.30534i | ||||
\(415\) | −0.606807 | − | 0.563035i | −0.0297870 | − | 0.0276383i | ||||
\(416\) | 10.6274 | − | 13.3264i | 0.521052 | − | 0.653378i | ||||
\(417\) | 24.5657 | − | 6.71148i | 1.20299 | − | 0.328663i | ||||
\(418\) | −15.1492 | + | 66.3730i | −0.740972 | + | 3.24641i | ||||
\(419\) | 24.5591 | − | 7.57548i | 1.19979 | − | 0.370086i | 0.370462 | − | 0.928848i | \(-0.379199\pi\) |
0.829329 | + | 0.558761i | \(0.188723\pi\) | |||||||
\(420\) | −1.77388 | + | 3.62582i | −0.0865566 | + | 0.176922i | ||||
\(421\) | 4.55462 | + | 1.40491i | 0.221978 | + | 0.0684713i | 0.403749 | − | 0.914870i | \(-0.367707\pi\) |
−0.181771 | + | 0.983341i | \(0.558183\pi\) | |||||||
\(422\) | −0.182975 | + | 0.316922i | −0.00890708 | + | 0.0154275i | ||||
\(423\) | 18.7078 | + | 4.07758i | 0.909606 | + | 0.198259i | ||||
\(424\) | −7.78420 | + | 7.22268i | −0.378034 | + | 0.350764i | ||||
\(425\) | −0.214066 | − | 2.85651i | −0.0103837 | − | 0.138561i | ||||
\(426\) | −16.2051 | + | 4.42733i | −0.785141 | + | 0.214505i | ||||
\(427\) | 0.620139 | − | 2.21573i | 0.0300106 | − | 0.107227i | ||||
\(428\) | −11.9086 | + | 30.3426i | −0.575623 | + | 1.46666i | ||||
\(429\) | −7.19331 | + | 16.7100i | −0.347296 | + | 0.806768i | ||||
\(430\) | −3.87240 | − | 4.85583i | −0.186743 | − | 0.234169i | ||||
\(431\) | −0.741140 | − | 9.88983i | −0.0356995 | − | 0.476376i | −0.986189 | − | 0.165621i | \(-0.947037\pi\) |
0.950490 | − | 0.310755i | \(-0.100582\pi\) | |||||||
\(432\) | −3.23415 | + | 6.34318i | −0.155603 | + | 0.305187i | ||||
\(433\) | −1.78481 | + | 0.859518i | −0.0857724 | + | 0.0413058i | −0.476278 | − | 0.879295i | \(-0.658014\pi\) |
0.390506 | + | 0.920600i | \(0.372300\pi\) | |||||||
\(434\) | −34.5673 | − | 12.5279i | −1.65929 | − | 0.601360i | ||||
\(435\) | −2.12732 | + | 3.42271i | −0.101997 | + | 0.164106i | ||||
\(436\) | −18.9488 | + | 9.12527i | −0.907483 | + | 0.437021i | ||||
\(437\) | −40.4859 | − | 37.5654i | −1.93670 | − | 1.79700i | ||||
\(438\) | −6.57963 | − | 18.5122i | −0.314387 | − | 0.884546i | ||||
\(439\) | −7.16286 | + | 18.2507i | −0.341865 | + | 0.871057i | 0.651771 | + | 0.758416i | \(0.274026\pi\) |
−0.993636 | + | 0.112641i | \(0.964069\pi\) | |||||||
\(440\) | −2.63853 | −0.125787 | ||||||||
\(441\) | −19.9887 | − | 6.43823i | −0.951844 | − | 0.306583i | ||||
\(442\) | −3.12770 | −0.148769 | ||||||||
\(443\) | 0.929591 | − | 2.36856i | 0.0441662 | − | 0.112534i | −0.907089 | − | 0.420940i | \(-0.861700\pi\) |
0.951255 | + | 0.308406i | \(0.0997956\pi\) | |||||||
\(444\) | −48.0024 | − | 8.83927i | −2.27809 | − | 0.419493i | ||||
\(445\) | −1.19142 | − | 1.10548i | −0.0564788 | − | 0.0524047i | ||||
\(446\) | −29.5565 | + | 14.2337i | −1.39954 | + | 0.673983i | ||||
\(447\) | 26.8139 | + | 0.871824i | 1.26825 | + | 0.0412359i | ||||
\(448\) | −4.18486 | + | 33.7689i | −0.197716 | + | 1.59543i | ||||
\(449\) | 5.32044 | − | 2.56219i | 0.251087 | − | 0.120917i | −0.304107 | − | 0.952638i | \(-0.598358\pi\) |
0.555194 | + | 0.831721i | \(0.312644\pi\) | |||||||
\(450\) | 25.2957 | − | 20.5812i | 1.19245 | − | 0.970207i | ||||
\(451\) | −2.68808 | − | 35.8700i | −0.126577 | − | 1.68905i | ||||
\(452\) | 3.28118 | + | 4.11447i | 0.154334 | + | 0.193528i | ||||
\(453\) | −8.95711 | − | 12.0129i | −0.420842 | − | 0.564414i | ||||
\(454\) | −0.736486 | + | 1.87654i | −0.0345650 | + | 0.0880702i | ||||
\(455\) | 1.13520 | + | 1.57442i | 0.0532191 | + | 0.0738099i | ||||
\(456\) | −17.4720 | − | 17.3017i | −0.818202 | − | 0.810227i | ||||
\(457\) | 2.31183 | + | 30.8492i | 0.108143 | + | 1.44306i | 0.742408 | + | 0.669948i | \(0.233684\pi\) |
−0.634265 | + | 0.773116i | \(0.718697\pi\) | |||||||
\(458\) | 22.1997 | − | 20.5983i | 1.03732 | − | 0.962497i | ||||
\(459\) | 2.97117 | − | 0.607522i | 0.138683 | − | 0.0283567i | ||||
\(460\) | 3.43493 | − | 5.94947i | 0.160154 | − | 0.277396i | ||||
\(461\) | 12.1254 | + | 3.74018i | 0.564735 | + | 0.174198i | 0.563960 | − | 0.825802i | \(-0.309277\pi\) |
0.000774797 | 1.00000i | \(0.499753\pi\) | ||||||||
\(462\) | −6.29609 | − | 43.6047i | −0.292920 | − | 2.02867i | ||||
\(463\) | −33.0131 | + | 10.1832i | −1.53425 | + | 0.473254i | −0.942876 | − | 0.333143i | \(-0.891891\pi\) |
−0.591374 | + | 0.806397i | \(0.701414\pi\) | |||||||
\(464\) | −2.33988 | + | 10.2517i | −0.108626 | + | 0.475922i | ||||
\(465\) | −2.34137 | − | 2.31855i | −0.108578 | − | 0.107520i | ||||
\(466\) | −29.3413 | + | 36.7929i | −1.35921 | + | 1.70440i | ||||
\(467\) | 2.76293 | + | 2.56362i | 0.127853 | + | 0.118630i | 0.741508 | − | 0.670944i | \(-0.234111\pi\) |
−0.613655 | + | 0.789574i | \(0.710301\pi\) | |||||||
\(468\) | −12.0498 | − | 17.3072i | −0.557004 | − | 0.800025i | ||||
\(469\) | −0.541049 | − | 20.5660i | −0.0249833 | − | 0.949652i | ||||
\(470\) | 4.09536 | + | 1.26325i | 0.188905 | + | 0.0582695i | ||||
\(471\) | −3.51937 | + | 32.6727i | −0.162164 | + | 1.50548i | ||||
\(472\) | 7.91477 | − | 13.7088i | 0.364307 | − | 0.630998i | ||||
\(473\) | 38.3657 | + | 11.8342i | 1.76406 | + | 0.544139i | ||||
\(474\) | −6.72596 | + | 10.8216i | −0.308934 | + | 0.497052i | ||||
\(475\) | −12.6977 | − | 32.3532i | −0.582609 | − | 1.48446i | ||||
\(476\) | 3.82469 | − | 2.34442i | 0.175305 | − | 0.107456i | ||||
\(477\) | −7.03447 | − | 14.2485i | −0.322086 | − | 0.652395i | ||||
\(478\) | 51.8497 | + | 15.9935i | 2.37155 | + | 0.731527i | ||||
\(479\) | 0.471740 | + | 0.591543i | 0.0215544 | + | 0.0270283i | 0.792492 | − | 0.609883i | \(-0.208783\pi\) |
−0.770937 | + | 0.636911i | \(0.780212\pi\) | |||||||
\(480\) | −1.95280 | + | 3.14191i | −0.0891325 | + | 0.143408i | ||||
\(481\) | −14.6337 | + | 18.3501i | −0.667241 | + | 0.836694i | ||||
\(482\) | 1.24349 | + | 0.847795i | 0.0566393 | + | 0.0386160i | ||||
\(483\) | 33.1885 | + | 13.2636i | 1.51013 | + | 0.603515i | ||||
\(484\) | 18.8265 | − | 12.8357i | 0.855750 | − | 0.583440i | ||||
\(485\) | 0.0850180 | − | 1.13449i | 0.00386047 | − | 0.0515144i | ||||
\(486\) | 25.0031 | + | 23.8076i | 1.13416 | + | 1.07994i | ||||
\(487\) | 9.73535 | + | 6.63745i | 0.441151 | + | 0.300771i | 0.763451 | − | 0.645866i | \(-0.223504\pi\) |
−0.322300 | + | 0.946638i | \(0.604456\pi\) | |||||||
\(488\) | −0.636955 | + | 1.62294i | −0.0288336 | + | 0.0734668i | ||||
\(489\) | −1.49024 | + | 13.8349i | −0.0673911 | + | 0.625637i | ||||
\(490\) | −4.33640 | − | 1.81398i | −0.195898 | − | 0.0819474i | ||||
\(491\) | −4.12097 | − | 7.13773i | −0.185977 | − | 0.322121i | 0.757929 | − | 0.652338i | \(-0.226212\pi\) |
−0.943905 | + | 0.330217i | \(0.892878\pi\) | |||||||
\(492\) | 36.9600 | + | 19.3029i | 1.66628 | + | 0.870244i | ||||
\(493\) | 4.03523 | − | 1.94326i | 0.181738 | − | 0.0875203i | ||||
\(494\) | −36.2629 | + | 11.1856i | −1.63155 | + | 0.503265i | ||||
\(495\) | 1.12679 | − | 3.78417i | 0.0506455 | − | 0.170086i | ||||
\(496\) | −7.74642 | − | 3.73048i | −0.347825 | − | 0.167503i | ||||
\(497\) | −3.70511 | − | 10.9779i | −0.166197 | − | 0.492427i | ||||
\(498\) | −6.79266 | + | 7.97185i | −0.304386 | + | 0.357227i | ||||
\(499\) | 5.94095 | − | 7.44972i | 0.265954 | − | 0.333495i | −0.630866 | − | 0.775892i | \(-0.717300\pi\) |
0.896820 | + | 0.442397i | \(0.145872\pi\) | |||||||
\(500\) | 7.21089 | − | 4.91630i | 0.322481 | − | 0.219864i | ||||
\(501\) | −0.703316 | − | 16.6180i | −0.0314219 | − | 0.742437i | ||||
\(502\) | 9.75439 | − | 9.05075i | 0.435360 | − | 0.403955i | ||||
\(503\) | −17.1939 | − | 21.5605i | −0.766638 | − | 0.961334i | 0.233300 | − | 0.972405i | \(-0.425047\pi\) |
−0.999939 | + | 0.0110707i | \(0.996476\pi\) | |||||||
\(504\) | 14.5764 | + | 6.38225i | 0.649285 | + | 0.284288i | ||||
\(505\) | −1.95030 | + | 2.44560i | −0.0867874 | + | 0.108828i | ||||
\(506\) | 5.60343 | + | 74.7725i | 0.249103 | + | 3.32404i | ||||
\(507\) | 12.2911 | − | 1.44586i | 0.545866 | − | 0.0642131i | ||||
\(508\) | −21.7474 | + | 37.6676i | −0.964884 | + | 1.67123i | ||||
\(509\) | −29.6394 | −1.31374 | −0.656872 | − | 0.754002i | \(-0.728121\pi\) | ||||
−0.656872 | + | 0.754002i | \(0.728121\pi\) | |||||||
\(510\) | 0.674162 | − | 0.0793053i | 0.0298524 | − | 0.00351170i | ||||
\(511\) | 12.4791 | − | 5.28050i | 0.552043 | − | 0.233596i | ||||
\(512\) | −3.37047 | + | 14.7670i | −0.148955 | + | 0.652616i | ||||
\(513\) | 32.2755 | − | 17.6696i | 1.42500 | − | 0.780130i | ||||
\(514\) | 17.8136 | + | 2.68496i | 0.785723 | + | 0.118429i | ||||
\(515\) | −2.54434 | + | 3.19050i | −0.112117 | + | 0.140590i | ||||
\(516\) | −35.1278 | + | 30.5306i | −1.54641 | + | 1.34404i | ||||
\(517\) | −26.4741 | + | 8.16618i | −1.16433 | + | 0.359148i | ||||
\(518\) | 6.99038 | − | 56.4075i | 0.307140 | − | 2.47840i | ||||
\(519\) | −10.4827 | + | 24.3512i | −0.460138 | + | 1.06890i | ||||
\(520\) | −0.735381 | − | 1.27372i | −0.0322486 | − | 0.0558562i | ||||
\(521\) | 18.5038 | + | 32.0494i | 0.810664 | + | 1.40411i | 0.912400 | + | 0.409300i | \(0.134227\pi\) |
−0.101735 | + | 0.994811i | \(0.532440\pi\) | |||||||
\(522\) | 44.4044 | + | 25.0602i | 1.94353 | + | 1.09686i | ||||
\(523\) | 35.4595 | − | 24.1758i | 1.55053 | − | 1.05714i | 0.580471 | − | 0.814281i | \(-0.302868\pi\) |
0.970063 | − | 0.242855i | \(-0.0780839\pi\) | |||||||
\(524\) | −4.48122 | − | 11.4180i | −0.195763 | − | 0.498796i | ||||
\(525\) | 15.1957 | + | 16.5821i | 0.663193 | + | 0.723701i | ||||
\(526\) | −2.27161 | + | 5.78796i | −0.0990468 | + | 0.252367i | ||||
\(527\) | 0.814889 | + | 3.57026i | 0.0354971 | + | 0.155523i | ||||
\(528\) | −0.435637 | − | 10.2932i | −0.0189587 | − | 0.447956i | ||||
\(529\) | −34.0824 | − | 16.4132i | −1.48184 | − | 0.713618i | ||||
\(530\) | −1.29945 | − | 3.31094i | −0.0564445 | − | 0.143818i | ||||
\(531\) | 16.2811 | + | 17.2057i | 0.706538 | + | 0.746664i | ||||
\(532\) | 35.9596 | − | 40.8598i | 1.55905 | − | 1.77150i | ||||
\(533\) | 16.5666 | − | 11.2949i | 0.717578 | − | 0.489236i | ||||
\(534\) | −13.3369 | + | 15.6521i | −0.577143 | + | 0.677334i | ||||
\(535\) | −2.49369 | − | 2.31381i | −0.107812 | − | 0.100035i | ||||
\(536\) | −1.16497 | + | 15.5454i | −0.0503189 | + | 0.671459i | ||||
\(537\) | −1.11159 | − | 26.2647i | −0.0479687 | − | 1.13341i | ||||
\(538\) | −26.3714 | + | 45.6765i | −1.13695 | + | 1.96925i | ||||
\(539\) | 29.7670 | − | 6.10238i | 1.28216 | − | 0.262848i | ||||
\(540\) | 3.03613 | + | 3.42496i | 0.130654 | + | 0.147387i | ||||
\(541\) | 8.97301 | − | 1.35246i | 0.385780 | − | 0.0581470i | 0.0467108 | − | 0.998908i | \(-0.485126\pi\) |
0.339069 | + | 0.940761i | \(0.389888\pi\) | |||||||
\(542\) | 7.15017 | − | 3.44334i | 0.307126 | − | 0.147904i | ||||
\(543\) | −1.80336 | − | 9.28191i | −0.0773897 | − | 0.398325i | ||||
\(544\) | 3.70418 | − | 1.78384i | 0.158815 | − | 0.0764814i | ||||
\(545\) | −0.164026 | − | 2.18878i | −0.00702612 | − | 0.0937570i | ||||
\(546\) | 19.2948 | − | 15.1923i | 0.825743 | − | 0.650172i | ||||
\(547\) | 0.619278 | − | 8.26369i | 0.0264784 | − | 0.353330i | −0.968191 | − | 0.250213i | \(-0.919499\pi\) |
0.994669 | − | 0.103117i | \(-0.0328816\pi\) | |||||||
\(548\) | −9.84643 | − | 25.0883i | −0.420618 | − | 1.07172i | ||||
\(549\) | −2.05559 | − | 1.60660i | −0.0877306 | − | 0.0685679i | ||||
\(550\) | −17.2391 | + | 43.9244i | −0.735077 | + | 1.87294i | ||||
\(551\) | 39.8353 | − | 36.9617i | 1.69704 | − | 1.57462i | ||||
\(552\) | −24.0053 | − | 12.5371i | −1.02173 | − | 0.533616i | ||||
\(553\) | −7.72339 | − | 4.19224i | −0.328432 | − | 0.178272i | ||||
\(554\) | 1.96688 | + | 0.296459i | 0.0835647 | + | 0.0125953i | ||||
\(555\) | 2.68896 | − | 4.32635i | 0.114140 | − | 0.183643i | ||||
\(556\) | −9.50485 | − | 41.6435i | −0.403095 | − | 1.76608i | ||||
\(557\) | 10.3115 | + | 17.8601i | 0.436914 | + | 0.756757i | 0.997450 | − | 0.0713730i | \(-0.0227380\pi\) |
−0.560536 | + | 0.828130i | \(0.689405\pi\) | |||||||
\(558\) | −28.0560 | + | 30.8375i | −1.18771 | + | 1.30546i | ||||
\(559\) | 4.98001 | + | 21.8188i | 0.210632 | + | 0.922838i | ||||
\(560\) | −0.966051 | − | 0.524371i | −0.0408231 | − | 0.0221587i | ||||
\(561\) | −3.31201 | + | 2.87856i | −0.139833 | + | 0.121533i | ||||
\(562\) | 12.0827 | − | 52.9379i | 0.509679 | − | 2.23305i | ||||
\(563\) | −9.40798 | − | 23.9711i | −0.396499 | − | 1.01026i | −0.980150 | − | 0.198258i | \(-0.936472\pi\) |
0.583651 | − | 0.812005i | \(-0.301624\pi\) | |||||||
\(564\) | 8.16010 | − | 31.0616i | 0.343602 | − | 1.30793i | ||||
\(565\) | −0.524820 | + | 0.161886i | −0.0220793 | + | 0.00681058i | ||||
\(566\) | 5.99823 | − | 26.2799i | 0.252124 | − | 1.10463i | ||||
\(567\) | −15.3783 | + | 18.1799i | −0.645828 | + | 0.763483i | ||||
\(568\) | 1.95359 | + | 8.55923i | 0.0819707 | + | 0.359137i | ||||
\(569\) | 10.4568 | + | 18.1117i | 0.438371 | + | 0.759281i | 0.997564 | − | 0.0697568i | \(-0.0222223\pi\) |
−0.559193 | + | 0.829037i | \(0.688889\pi\) | |||||||
\(570\) | 7.53271 | − | 3.33049i | 0.315510 | − | 0.139499i | ||||
\(571\) | −1.21572 | − | 0.375000i | −0.0508764 | − | 0.0156933i | 0.269213 | − | 0.963081i | \(-0.413237\pi\) |
−0.320089 | + | 0.947388i | \(0.603713\pi\) | |||||||
\(572\) | 27.4927 | + | 13.2398i | 1.14953 | + | 0.553583i | ||||
\(573\) | 7.82208 | − | 2.13703i | 0.326772 | − | 0.0892759i | ||||
\(574\) | −19.9101 | + | 44.2868i | −0.831030 | + | 1.84850i | ||||
\(575\) | −23.8668 | − | 29.9280i | −0.995314 | − | 1.24808i | ||||
\(576\) | 33.6014 | + | 18.9634i | 1.40006 | + | 0.790143i | ||||
\(577\) | −2.87348 | + | 7.32151i | −0.119625 | + | 0.304798i | −0.978126 | − | 0.208012i | \(-0.933301\pi\) |
0.858502 | + | 0.512811i | \(0.171396\pi\) | |||||||
\(578\) | 33.2427 | + | 16.0088i | 1.38271 | + | 0.665880i | ||||
\(579\) | −5.92194 | − | 5.86422i | −0.246107 | − | 0.243709i | ||||
\(580\) | 5.58493 | + | 3.80774i | 0.231902 | + | 0.158108i | ||||
\(581\) | −5.76402 | − | 4.35367i | −0.239132 | − | 0.180621i | ||||
\(582\) | −14.3865 | − | 0.467761i | −0.596338 | − | 0.0193893i | ||||
\(583\) | 18.9974 | + | 12.9522i | 0.786794 | + | 0.536427i | ||||
\(584\) | −9.81140 | + | 3.02641i | −0.405998 | + | 0.125234i | ||||
\(585\) | 2.14081 | − | 0.510737i | 0.0885114 | − | 0.0211164i | ||||
\(586\) | −20.5039 | + | 3.09047i | −0.847010 | + | 0.127666i | ||||
\(587\) | 13.3505 | − | 23.1237i | 0.551034 | − | 0.954419i | −0.447166 | − | 0.894451i | \(-0.647567\pi\) |
0.998200 | − | 0.0599681i | \(-0.0190999\pi\) | |||||||
\(588\) | −12.2070 | + | 33.0407i | −0.503406 | + | 1.36257i | ||||
\(589\) | 22.2163 | + | 38.4798i | 0.915408 | + | 1.58553i | ||||
\(590\) | 3.30582 | + | 4.14537i | 0.136099 | + | 0.170662i | ||||
\(591\) | 3.60982 | − | 4.23647i | 0.148488 | − | 0.174265i | ||||
\(592\) | 2.95763 | − | 12.9582i | 0.121558 | − | 0.532580i | ||||
\(593\) | 1.63451 | − | 21.8110i | 0.0671212 | − | 0.895670i | −0.857427 | − | 0.514605i | \(-0.827938\pi\) |
0.924548 | − | 0.381065i | \(-0.124443\pi\) | |||||||
\(594\) | −48.4384 | − | 12.2192i | −1.98745 | − | 0.501360i | ||||
\(595\) | 0.0819288 | + | 0.460952i | 0.00335876 | + | 0.0188972i | ||||
\(596\) | 3.36278 | − | 44.8731i | 0.137745 | − | 1.83807i | ||||
\(597\) | −30.8561 | + | 8.43004i | −1.26285 | + | 0.345019i | ||||
\(598\) | −34.5337 | + | 23.5447i | −1.41219 | + | 0.962815i | ||||
\(599\) | −6.19820 | + | 0.934228i | −0.253252 | + | 0.0381715i | −0.274441 | − | 0.961604i | \(-0.588493\pi\) |
0.0211894 | + | 0.999775i | \(0.493255\pi\) | |||||||
\(600\) | −10.1873 | − | 13.6628i | −0.415896 | − | 0.557780i | ||||
\(601\) | −41.4364 | + | 6.24554i | −1.69023 | + | 0.254761i | −0.922495 | − | 0.386010i | \(-0.873853\pi\) |
−0.767732 | + | 0.640771i | \(0.778615\pi\) | |||||||
\(602\) | −37.8958 | − | 38.7464i | −1.54452 | − | 1.57918i | ||||
\(603\) | −21.7976 | − | 8.30949i | −0.887669 | − | 0.338389i | ||||
\(604\) | −20.7666 | + | 14.1584i | −0.844980 | + | 0.576097i | ||||
\(605\) | 0.529152 | + | 2.31837i | 0.0215131 | + | 0.0942550i | ||||
\(606\) | 31.9582 | + | 23.3453i | 1.29821 | + | 0.948338i | ||||
\(607\) | 20.4531 | 0.830167 | 0.415083 | − | 0.909783i | \(-0.363752\pi\) | ||||
0.415083 | + | 0.909783i | \(0.363752\pi\) | |||||||
\(608\) | 36.5672 | − | 33.9294i | 1.48299 | − | 1.37602i | ||||
\(609\) | −15.4543 | + | 31.5886i | −0.626240 | + | 1.28004i | ||||
\(610\) | −0.428082 | − | 0.397202i | −0.0173325 | − | 0.0160822i | ||||
\(611\) | −11.3207 | − | 10.5040i | −0.457985 | − | 0.424948i | ||||
\(612\) | −0.807362 | − | 5.02221i | −0.0326357 | − | 0.203011i | ||||
\(613\) | −27.6323 | − | 4.16490i | −1.11606 | − | 0.168219i | −0.434988 | − | 0.900436i | \(-0.643247\pi\) |
−0.681071 | + | 0.732218i | \(0.738485\pi\) | |||||||
\(614\) | 33.3811 | − | 10.2967i | 1.34715 | − | 0.415541i | ||||
\(615\) | −3.28447 | + | 2.85463i | −0.132442 | + | 0.115110i | ||||
\(616\) | −22.9070 | + | 2.32386i | −0.922950 | + | 0.0936309i | ||||
\(617\) | 25.3246 | − | 23.4978i | 1.01953 | − | 0.945987i | 0.0209795 | − | 0.999780i | \(-0.493322\pi\) |
0.998552 | + | 0.0537928i | \(0.0171311\pi\) | |||||||
\(618\) | 41.6922 | + | 30.4560i | 1.67711 | + | 1.22512i | ||||
\(619\) | −27.7103 | −1.11377 | −0.556885 | − | 0.830590i | \(-0.688004\pi\) | ||||
−0.556885 | + | 0.830590i | \(0.688004\pi\) | |||||||
\(620\) | −4.05150 | + | 3.75925i | −0.162712 | + | 0.150975i | ||||
\(621\) | 28.2322 | − | 29.0743i | 1.13292 | − | 1.16671i | ||||
\(622\) | −20.5775 | + | 25.8034i | −0.825083 | + | 1.03462i | ||||
\(623\) | −11.3172 | − | 8.54811i | −0.453415 | − | 0.342473i | ||||
\(624\) | 4.84752 | − | 3.07911i | 0.194056 | − | 0.123263i | ||||
\(625\) | −5.25807 | − | 23.0371i | −0.210323 | − | 0.921485i | ||||
\(626\) | 64.3646 | − | 9.70140i | 2.57253 | − | 0.387746i | ||||
\(627\) | −28.1052 | + | 45.2192i | −1.12241 | + | 1.80588i | ||||
\(628\) | 54.5036 | + | 8.21510i | 2.17493 | + | 0.327818i | ||||
\(629\) | −5.10058 | + | 2.45631i | −0.203373 | + | 0.0979395i | ||||
\(630\) | −3.77371 | + | 3.76388i | −0.150348 | + | 0.149957i | ||||
\(631\) | −15.8077 | − | 7.61258i | −0.629294 | − | 0.303052i | 0.0919179 | − | 0.995767i | \(-0.470700\pi\) |
−0.721212 | + | 0.692715i | \(0.756415\pi\) | |||||||
\(632\) | 5.50178 | + | 3.75105i | 0.218849 | + | 0.149209i | ||||
\(633\) | −0.216007 | + | 0.187738i | −0.00858551 | + | 0.00746193i | ||||
\(634\) | 0.628729 | − | 8.38981i | 0.0249700 | − | 0.333202i | ||||
\(635\) | −2.83017 | − | 3.54892i | −0.112312 | − | 0.140835i | ||||
\(636\) | −24.3767 | + | 10.7779i | −0.966600 | + | 0.427370i | ||||
\(637\) | 11.2422 | + | 12.6688i | 0.445430 | + | 0.501958i | ||||
\(638\) | −73.7773 | −2.92087 | ||||||||
\(639\) | −13.1099 | − | 0.853410i | −0.518619 | − | 0.0337604i | ||||
\(640\) | 3.60624 | + | 2.45869i | 0.142549 | + | 0.0971884i | ||||
\(641\) | −7.92382 | + | 34.7165i | −0.312972 | + | 1.37122i | 0.536639 | + | 0.843812i | \(0.319694\pi\) |
−0.849611 | + | 0.527409i | \(0.823163\pi\) | |||||||
\(642\) | −27.9146 | + | 32.7605i | −1.10170 | + | 1.29295i | ||||
\(643\) | −2.28797 | − | 30.5308i | −0.0902286 | − | 1.20402i | −0.840099 | − | 0.542433i | \(-0.817503\pi\) |
0.749871 | − | 0.661584i | \(-0.230116\pi\) | |||||||
\(644\) | 24.5812 | − | 54.6769i | 0.968633 | − | 2.15457i | ||||
\(645\) | −1.62665 | − | 4.57669i | −0.0640495 | − | 0.180207i | ||||
\(646\) | −9.05117 | − | 1.36424i | −0.356114 | − | 0.0536755i | ||||
\(647\) | −1.76713 | − | 23.5807i | −0.0694730 | − | 0.927052i | −0.917663 | − | 0.397360i | \(-0.869926\pi\) |
0.848190 | − | 0.529692i | \(-0.177693\pi\) | |||||||
\(648\) | 12.9835 | − | 12.5291i | 0.510041 | − | 0.492189i | ||||
\(649\) | −32.7524 | − | 10.1028i | −1.28564 | − | 0.396568i | ||||
\(650\) | −26.0086 | + | 3.92017i | −1.02014 | + | 0.153762i | ||||
\(651\) | −22.3691 | − | 18.0668i | −0.876715 | − | 0.708095i | ||||
\(652\) | 23.0790 | + | 3.47860i | 0.903844 | + | 0.136233i | ||||
\(653\) | −3.41208 | − | 1.64317i | −0.133525 | − | 0.0643023i | 0.365928 | − | 0.930643i | \(-0.380752\pi\) |
−0.499453 | + | 0.866341i | \(0.666466\pi\) | |||||||
\(654\) | −27.5805 | + | 3.24444i | −1.07848 | + | 0.126868i | ||||
\(655\) | 1.28010 | 0.0500177 | ||||||||
\(656\) | −5.67733 | + | 9.83343i | −0.221663 | + | 0.383931i | ||||
\(657\) | −0.150492 | − | 15.3639i | −0.00587126 | − | 0.599403i | ||||
\(658\) | 36.6674 | + | 7.36025i | 1.42944 | + | 0.286933i | ||||
\(659\) | −15.1285 | − | 14.0372i | −0.589322 | − | 0.546811i | 0.328142 | − | 0.944628i | \(-0.393577\pi\) |
−0.917465 | + | 0.397817i | \(0.869768\pi\) | |||||||
\(660\) | −6.26164 | − | 2.15668i | −0.243734 | − | 0.0839487i | ||||
\(661\) | 16.0091 | + | 40.7904i | 0.622680 | + | 1.58656i | 0.798403 | + | 0.602124i | \(0.205679\pi\) |
−0.175722 | + | 0.984440i | \(0.556226\pi\) | |||||||
\(662\) | −19.3954 | − | 49.4188i | −0.753825 | − | 1.92071i | ||||
\(663\) | −2.31267 | − | 0.796548i | −0.0898168 | − | 0.0309354i | ||||
\(664\) | 4.01233 | + | 3.72290i | 0.155709 | + | 0.144477i | ||||
\(665\) | 2.59840 | + | 5.05133i | 0.100762 | + | 0.195882i | ||||
\(666\) | −56.1277 | − | 31.6764i | −2.17491 | − | 1.22744i | ||||
\(667\) | 29.9256 | − | 51.8326i | 1.15872 | − | 2.00697i | ||||
\(668\) | −27.8985 | −1.07942 | ||||||||
\(669\) | −25.4795 | + | 2.99729i | −0.985096 | + | 0.115882i | ||||
\(670\) | −4.70446 | − | 2.26555i | −0.181749 | − | 0.0875257i | ||||
\(671\) | 3.73287 | + | 0.562640i | 0.144106 | + | 0.0217205i | ||||
\(672\) | −14.1864 | + | 28.9971i | −0.547253 | + | 1.11859i | ||||
\(673\) | −24.2099 | + | 3.64905i | −0.933222 | + | 0.140661i | −0.598016 | − | 0.801484i | \(-0.704044\pi\) |
−0.335206 | + | 0.942145i | \(0.608806\pi\) | |||||||
\(674\) | 13.2736 | + | 4.09438i | 0.511282 | + | 0.157709i | ||||
\(675\) | 23.9456 | − | 8.77589i | 0.921667 | − | 0.337784i | ||||
\(676\) | −1.55126 | − | 20.7001i | −0.0596637 | − | 0.796156i | ||||
\(677\) | 3.06556 | + | 0.462059i | 0.117819 | + | 0.0177584i | 0.207687 | − | 0.978195i | \(-0.433406\pi\) |
−0.0898680 | + | 0.995954i | \(0.528645\pi\) | |||||||
\(678\) | 2.32716 | + | 6.54762i | 0.0893742 | + | 0.251460i | ||||
\(679\) | −0.261084 | − | 9.92417i | −0.0100195 | − | 0.380855i | ||||
\(680\) | −0.0265107 | − | 0.353761i | −0.00101664 | − | 0.0135661i | ||||
\(681\) | −1.02248 | + | 1.19998i | −0.0391814 | + | 0.0459832i | ||||
\(682\) | 13.4234 | − | 58.8118i | 0.514009 | − | 2.25202i | ||||
\(683\) | −27.5053 | − | 18.7528i | −1.05246 | − | 0.717555i | −0.0919390 | − | 0.995765i | \(-0.529306\pi\) |
−0.960520 | + | 0.278210i | \(0.910259\pi\) | |||||||
\(684\) | −27.3217 | − | 55.3408i | −1.04467 | − | 2.11601i | ||||
\(685\) | 2.81272 | 0.107468 | ||||||||
\(686\) | −39.2450 | − | 11.9293i | −1.49838 | − | 0.455461i | ||||
\(687\) | 21.6607 | − | 9.57703i | 0.826409 | − | 0.365387i | ||||
\(688\) | −7.90198 | − | 9.90877i | −0.301260 | − | 0.377768i | ||||
\(689\) | −0.957778 | + | 12.7807i | −0.0364884 | + | 0.486905i | ||||
\(690\) | 6.84661 | − | 5.95060i | 0.260646 | − | 0.226535i | ||||
\(691\) | 17.7585 | + | 12.1076i | 0.675567 | + | 0.460594i | 0.851878 | − | 0.523741i | \(-0.175464\pi\) |
−0.176311 | + | 0.984335i | \(0.556416\pi\) | |||||||
\(692\) | 40.0645 | + | 19.2940i | 1.52302 | + | 0.733450i | ||||
\(693\) | 6.44962 | − | 33.8455i | 0.245001 | − | 1.28569i | ||||
\(694\) | 18.2305 | − | 8.77932i | 0.692019 | − | 0.333259i | ||||
\(695\) | 4.40801 | + | 0.664400i | 0.167205 | + | 0.0252021i | ||||
\(696\) | 14.0663 | − | 22.6317i | 0.533181 | − | 0.857850i | ||||
\(697\) | 4.78226 | − | 0.720809i | 0.181141 | − | 0.0273026i | ||||
\(698\) | −6.13060 | − | 26.8599i | −0.232047 | − | 1.01666i | ||||
\(699\) | −31.0657 | + | 19.7328i | −1.17501 | + | 0.746362i | ||||
\(700\) | 28.8661 | − | 24.2890i | 1.09104 | − | 0.918037i | ||||
\(701\) | 5.85722 | − | 7.34472i | 0.221224 | − | 0.277406i | −0.658817 | − | 0.752303i | \(-0.728943\pi\) |
0.880042 | + | 0.474896i | \(0.157514\pi\) | |||||||
\(702\) | −7.60152 | − | 26.7886i | −0.286901 | − | 1.01107i | ||||
\(703\) | −50.3523 | + | 46.7201i | −1.89907 | + | 1.76208i | ||||
\(704\) | −55.8283 | −2.10411 | ||||||||
\(705\) | 2.70646 | + | 1.97706i | 0.101931 | + | 0.0744604i | ||||
\(706\) | 37.5500 | − | 34.8413i | 1.41321 | − | 1.31127i | ||||
\(707\) | −14.7780 | + | 22.9497i | −0.555786 | + | 0.863114i | ||||
\(708\) | 29.9882 | − | 26.0637i | 1.12703 | − | 0.979532i | ||||
\(709\) | 15.8743 | − | 4.89657i | 0.596172 | − | 0.183895i | 0.0180389 | − | 0.999837i | \(-0.494258\pi\) |
0.578133 | + | 0.815943i | \(0.303782\pi\) | |||||||
\(710\) | −2.90781 | − | 0.438282i | −0.109128 | − | 0.0164484i | ||||
\(711\) | −7.72929 | + | 6.28874i | −0.289871 | + | 0.235846i | ||||
\(712\) | 7.87792 | + | 7.30964i | 0.295237 | + | 0.273940i | ||||
\(713\) | 35.8737 | + | 33.2859i | 1.34348 | + | 1.24657i | ||||
\(714\) | 5.78304 | − | 1.28227i | 0.216425 | − | 0.0479876i | ||||
\(715\) | −2.33447 | + | 2.16607i | −0.0873041 | + | 0.0810064i | ||||
\(716\) | −44.0935 | −1.64785 | ||||||||
\(717\) | 34.2654 | + | 25.0308i | 1.27967 | + | 0.934791i | ||||
\(718\) | 1.22272 | + | 5.35709i | 0.0456315 | + | 0.199925i | ||||
\(719\) | −38.5864 | + | 26.3077i | −1.43903 | + | 0.981113i | −0.442596 | + | 0.896721i | \(0.645942\pi\) |
−0.996433 | + | 0.0843917i | \(0.973105\pi\) | |||||||
\(720\) | −0.966789 | + | 0.786603i | −0.0360301 | + | 0.0293150i | ||||
\(721\) | −19.2793 | + | 29.9400i | −0.717997 | + | 1.11502i | ||||
\(722\) | −68.2089 | + | 10.2808i | −2.53847 | + | 0.382613i | ||||
\(723\) | 0.703543 | + | 0.943560i | 0.0261650 | + | 0.0350914i | ||||
\(724\) | −15.6826 | + | 2.36378i | −0.582840 | + | 0.0878490i | ||||
\(725\) | 31.1197 | − | 21.2170i | 1.15576 | − | 0.787981i | ||||
\(726\) | 29.0233 | − | 7.92931i | 1.07715 | − | 0.294284i | ||||
\(727\) | −2.34815 | + | 31.3339i | −0.0870882 | + | 1.16211i | 0.766881 | + | 0.641789i | \(0.221807\pi\) |
−0.853970 | + | 0.520323i | \(0.825812\pi\) | |||||||
\(728\) | −7.50619 | − | 10.4104i | −0.278198 | − | 0.385834i | ||||
\(729\) | 12.4245 | + | 23.9715i | 0.460167 | + | 0.887832i | ||||
\(730\) | 0.257007 | − | 3.42951i | 0.00951224 | − | 0.126932i | ||||
\(731\) | −1.20120 | + | 5.26278i | −0.0444278 | + | 0.194651i | ||||
\(732\) | −2.83814 | + | 3.33084i | −0.104901 | + | 0.123111i | ||||
\(733\) | −2.84293 | − | 3.56492i | −0.105006 | − | 0.131673i | 0.726551 | − | 0.687112i | \(-0.241122\pi\) |
−0.831558 | + | 0.555439i | \(0.812550\pi\) | |||||||
\(734\) | −18.9733 | − | 32.8626i | −0.700316 | − | 1.21298i | ||||
\(735\) | −2.74443 | − | 2.44566i | −0.101230 | − | 0.0902097i | ||||
\(736\) | 27.4704 | − | 47.5802i | 1.01257 | − | 1.75383i | ||||
\(737\) | 33.3773 | − | 5.03081i | 1.22947 | − | 0.185312i | ||||
\(738\) | 37.8424 | + | 39.9916i | 1.39300 | + | 1.47211i | ||||
\(739\) | 7.14680 | − | 2.20449i | 0.262899 | − | 0.0810937i | −0.160503 | − | 0.987035i | \(-0.551312\pi\) |
0.423403 | + | 0.905942i | \(0.360836\pi\) | |||||||
\(740\) | −7.05942 | − | 4.81303i | −0.259510 | − | 0.176931i | ||||
\(741\) | −29.6621 | − | 0.964433i | −1.08967 | − | 0.0354293i | ||||
\(742\) | −14.1975 | − | 27.6002i | −0.521207 | − | 1.01323i | ||||
\(743\) | 11.3991 | + | 7.77180i | 0.418194 | + | 0.285120i | 0.754080 | − | 0.656783i | \(-0.228083\pi\) |
−0.335886 | + | 0.941903i | \(0.609036\pi\) | |||||||
\(744\) | 15.4816 | + | 15.3307i | 0.567583 | + | 0.562050i | ||||
\(745\) | 4.23115 | + | 2.03761i | 0.155017 | + | 0.0746524i | ||||
\(746\) | −18.7619 | + | 47.8046i | −0.686922 | + | 1.75025i | ||||
\(747\) | −7.05284 | + | 4.16460i | −0.258050 | + | 0.152375i | ||||
\(748\) | 4.58902 | + | 5.75445i | 0.167791 | + | 0.210404i | ||||
\(749\) | −23.6874 | − | 17.8915i | −0.865517 | − | 0.653742i | ||||
\(750\) | 11.1164 | − | 3.03707i | 0.405915 | − | 0.110898i | ||||
\(751\) | −9.52011 | − | 4.58465i | −0.347394 | − | 0.167296i | 0.252047 | − | 0.967715i | \(-0.418896\pi\) |
−0.599441 | + | 0.800419i | \(0.704610\pi\) | |||||||
\(752\) | 8.35696 | + | 2.57778i | 0.304747 | + | 0.0940020i | ||||
\(753\) | 9.51757 | − | 4.20808i | 0.346839 | − | 0.153351i | ||||
\(754\) | −20.5623 | − | 35.6150i | −0.748836 | − | 1.29702i | ||||
\(755\) | −0.583681 | − | 2.55728i | −0.0212423 | − | 0.0930688i | ||||
\(756\) | 29.3753 | + | 27.0605i | 1.06837 | + | 0.984181i | ||||
\(757\) | −8.32038 | + | 36.4540i | −0.302409 | + | 1.32494i | 0.564069 | + | 0.825728i | \(0.309235\pi\) |
−0.866478 | + | 0.499215i | \(0.833622\pi\) | |||||||
\(758\) | 28.6913 | − | 8.85011i | 1.04212 | − | 0.321450i | ||||
\(759\) | −14.8995 | + | 56.7152i | −0.540816 | + | 2.05863i | ||||
\(760\) | −1.57253 | − | 4.00674i | −0.0570417 | − | 0.145340i | ||||
\(761\) | 6.43581 | − | 28.1971i | 0.233298 | − | 1.02214i | −0.713586 | − | 0.700568i | \(-0.752930\pi\) |
0.946884 | − | 0.321577i | \(-0.104213\pi\) | |||||||
\(762\) | −43.3476 | + | 37.6747i | −1.57032 | + | 1.36481i | ||||
\(763\) | −3.35177 | − | 18.8579i | −0.121342 | − | 0.682702i | ||||
\(764\) | −3.02649 | − | 13.2599i | −0.109494 | − | 0.479726i | ||||
\(765\) | 0.518684 | + | 0.113053i | 0.0187531 | + | 0.00408744i | ||||
\(766\) | −14.6641 | − | 25.3990i | −0.529837 | − | 0.917704i | ||||
\(767\) | −4.25138 | − | 18.6265i | −0.153508 | − | 0.672564i | ||||
\(768\) | 5.63276 | − | 9.06270i | 0.203255 | − | 0.327022i | ||||
\(769\) | 30.5455 | + | 4.60400i | 1.10150 | + | 0.166024i | 0.674534 | − | 0.738243i | \(-0.264344\pi\) |
0.426966 | + | 0.904268i | \(0.359582\pi\) | |||||||
\(770\) | 2.07859 | − | 7.42672i | 0.0749072 | − | 0.267640i | ||||
\(771\) | 12.4879 | + | 6.52199i | 0.449739 | + | 0.234884i | ||||
\(772\) | −10.2473 | + | 9.50813i | −0.368809 | + | 0.342205i | ||||
\(773\) | 8.60814 | − | 21.9332i | 0.309613 | − | 0.788881i | −0.688367 | − | 0.725362i | \(-0.741672\pi\) |
0.997981 | − | 0.0635193i | \(-0.0202324\pi\) | |||||||
\(774\) | −56.9835 | + | 23.0110i | −2.04823 | + | 0.827113i | ||||
\(775\) | 11.2512 | + | 28.6675i | 0.404153 | + | 1.02977i | ||||
\(776\) | −0.562156 | + | 7.50145i | −0.0201802 | + | 0.269286i | ||||
\(777\) | 19.5344 | − | 39.9284i | 0.700793 | − | 1.43242i | ||||
\(778\) | −2.28755 | − | 30.5252i | −0.0820125 | − | 1.09438i | ||||
\(779\) | 52.8683 | − | 25.4600i | 1.89420 | − | 0.912200i | ||||
\(780\) | −0.704062 | − | 3.62381i | −0.0252094 | − | 0.129753i | ||||
\(781\) | 17.1270 | − | 8.24795i | 0.612854 | − | 0.295135i | ||||
\(782\) | −9.96882 | + | 1.50256i | −0.356484 | + | 0.0537314i | ||||
\(783\) | 26.4512 | + | 29.8387i | 0.945288 | + | 1.06635i | ||||
\(784\) | −8.84882 | − | 3.70160i | −0.316029 | − | 0.132200i | ||||
\(785\) | −2.87620 | + | 4.98173i | −0.102656 | + | 0.177805i | ||||
\(786\) | −0.684851 | − | 16.1817i | −0.0244278 | − | 0.577182i | ||||
\(787\) | −3.31966 | + | 44.2978i | −0.118333 | + | 1.57905i | 0.549988 | + | 0.835173i | \(0.314632\pi\) |
−0.668321 | + | 0.743873i | \(0.732987\pi\) | |||||||
\(788\) | −6.84350 | − | 6.34984i | −0.243790 | − | 0.226204i | ||||
\(789\) | −3.15372 | + | 3.70119i | −0.112275 | + | 0.131766i | ||||
\(790\) | −1.84283 | + | 1.25642i | −0.0655649 | + | 0.0447014i | ||||
\(791\) | −4.41376 | + | 1.86767i | −0.156935 | + | 0.0664068i | ||||
\(792\) | −7.45057 | + | 25.0217i | −0.264745 | + | 0.889108i | ||||
\(793\) | 0.768775 | + | 1.95881i | 0.0273000 | + | 0.0695593i | ||||
\(794\) | −58.7098 | − | 28.2732i | −2.08353 | − | 1.00338i | ||||
\(795\) | −0.117619 | − | 2.77911i | −0.00417151 | − | 0.0985647i | ||||
\(796\) | 11.9387 | + | 52.3068i | 0.423156 | + | 1.85397i | ||||
\(797\) | −14.8544 | + | 37.8483i | −0.526169 | + | 1.34066i | 0.382814 | + | 0.923825i | \(0.374955\pi\) |
−0.908984 | + | 0.416832i | \(0.863140\pi\) | |||||||
\(798\) | 62.4635 | − | 35.5488i | 2.21118 | − | 1.25841i | ||||
\(799\) | −1.36088 | − | 3.46746i | −0.0481444 | − | 0.122670i | ||||
\(800\) | 28.5666 | − | 19.4764i | 1.00998 | − | 0.688594i | ||||
\(801\) | −13.8477 | + | 8.17688i | −0.489286 | + | 0.288916i | ||||
\(802\) | 41.1560 | + | 71.2842i | 1.45327 | + | 2.51713i | ||||
\(803\) | 11.1160 | + | 19.2534i | 0.392274 | + | 0.679439i | ||||
\(804\) | −15.4711 | + | 35.9394i | −0.545624 | + | 1.26748i | ||||
\(805\) | 4.37456 | + | 4.47275i | 0.154183 | + | 0.157644i | ||||
\(806\) | 32.1318 | − | 9.91136i | 1.13180 | − | 0.349113i | ||||
\(807\) | −31.1321 | + | 27.0579i | −1.09590 | + | 0.952482i | ||||
\(808\) | 12.8958 | − | 16.1708i | 0.453673 | − | 0.568887i | ||||
\(809\) | 7.06019 | + | 1.06415i | 0.248223 | + | 0.0374136i | 0.271975 | − | 0.962304i | \(-0.412323\pi\) |
−0.0237521 | + | 0.999718i | \(0.507561\pi\) | |||||||
\(810\) | 2.31772 | + | 5.58143i | 0.0814365 | + | 0.196111i | ||||
\(811\) | 7.15361 | − | 31.3420i | 0.251197 | − | 1.10057i | −0.679182 | − | 0.733970i | \(-0.737665\pi\) |
0.930379 | − | 0.366598i | \(-0.119478\pi\) | |||||||
\(812\) | 51.8404 | + | 28.1389i | 1.81924 | + | 0.987481i | ||||
\(813\) | 6.16389 | − | 0.725091i | 0.216177 | − | 0.0254301i | ||||
\(814\) | 93.2554 | 3.26860 | ||||||||
\(815\) | −1.21790 | + | 2.10946i | −0.0426611 | + | 0.0738912i | ||||
\(816\) | 1.37569 | − | 0.161830i | 0.0481588 | − | 0.00566517i | ||||
\(817\) | 4.89455 | + | 65.3132i | 0.171239 | + | 2.28502i | ||||
\(818\) | −1.80910 | + | 2.26854i | −0.0632537 | + | 0.0793176i | ||||
\(819\) | 18.1361 | − | 6.31956i | 0.633725 | − | 0.220823i | ||||
\(820\) | 4.55087 | + | 5.70660i | 0.158923 | + | 0.199283i | ||||
\(821\) | 25.8031 | − | 23.9418i | 0.900536 | − | 0.835575i | −0.0864707 | − | 0.996254i | \(-0.527559\pi\) |
0.987007 | + | 0.160679i | \(0.0513684\pi\) | |||||||
\(822\) | −1.50480 | − | 35.5554i | −0.0524859 | − | 1.24014i | ||||
\(823\) | −27.2723 | + | 18.5940i | −0.950654 | + | 0.648145i | −0.936094 | − | 0.351749i | \(-0.885587\pi\) |
−0.0145596 | + | 0.999894i | \(0.504635\pi\) | |||||||
\(824\) | 16.8237 | − | 21.0963i | 0.586082 | − | 0.734923i | ||||
\(825\) | −23.9333 | + | 28.0881i | −0.833252 | + | 0.977903i | ||||
\(826\) | 32.3512 | + | 33.0774i | 1.12564 | + | 1.15091i | ||||
\(827\) | −26.3126 | − | 12.6715i | −0.914978 | − | 0.440630i | −0.0837026 | − | 0.996491i | \(-0.526675\pi\) |
−0.831276 | + | 0.555861i | \(0.812389\pi\) | |||||||
\(828\) | −46.7206 | − | 49.3739i | −1.62365 | − | 1.71586i | ||||
\(829\) | 33.4383 | − | 10.3144i | 1.16136 | − | 0.358233i | 0.346591 | − | 0.938016i | \(-0.387339\pi\) |
0.814770 | + | 0.579784i | \(0.196863\pi\) | |||||||
\(830\) | −1.65179 | + | 0.795458i | −0.0573343 | + | 0.0276108i | ||||
\(831\) | 1.37884 | + | 0.720123i | 0.0478315 | + | 0.0249808i | ||||
\(832\) | −15.5598 | − | 26.9504i | −0.539439 | − | 0.934336i | ||||
\(833\) | 1.11726 | + | 3.92970i | 0.0387108 | + | 0.136156i | ||||
\(834\) | 6.04038 | − | 56.0769i | 0.209161 | − | 1.94178i | ||||
\(835\) | 1.06371 | − | 2.71030i | 0.0368113 | − | 0.0937937i | ||||
\(836\) | 73.7855 | + | 50.3061i | 2.55193 | + | 1.73987i | ||||
\(837\) | −28.5987 | + | 15.6566i | −0.988514 | + | 0.541172i | ||||
\(838\) | 4.25375 | − | 56.7624i | 0.146943 | − | 1.96082i | ||||
\(839\) | 0.336214 | − | 0.229227i | 0.0116074 | − | 0.00791378i | −0.557502 | − | 0.830175i | \(-0.688240\pi\) |
0.569110 | + | 0.822262i | \(0.307288\pi\) | |||||||
\(840\) | 1.88189 | + | 2.05359i | 0.0649314 | + | 0.0708556i | ||||
\(841\) | 24.6957 | + | 16.8373i | 0.851577 | + | 0.580596i | ||||
\(842\) | 6.58181 | − | 8.25333i | 0.226824 | − | 0.284428i | ||||
\(843\) | 22.4162 | − | 36.0660i | 0.772054 | − | 1.24218i | ||||
\(844\) | 0.299294 | + | 0.375302i | 0.0103021 | + | 0.0129184i | ||||
\(845\) | 2.07013 | + | 0.638550i | 0.0712146 | + | 0.0219668i | ||||
\(846\) | 23.5440 | − | 35.2700i | 0.809458 | − | 1.21261i | ||||
\(847\) | 6.63583 | + | 19.6614i | 0.228010 | + | 0.675573i | ||||
\(848\) | −2.65164 | − | 6.75628i | −0.0910578 | − | 0.232012i | ||||
\(849\) | 11.1281 | − | 17.9042i | 0.381914 | − | 0.614472i | ||||
\(850\) | −6.06238 | − | 1.87000i | −0.207938 | − | 0.0641403i | ||||
\(851\) | −37.8263 | + | 65.5170i | −1.29667 | + | 2.24589i | ||||
\(852\) | −2.35997 | + | 21.9092i | −0.0808511 | + | 0.750595i | ||||
\(853\) | −49.6892 | − | 15.3271i | −1.70132 | − | 0.524789i | −0.716388 | − | 0.697702i | \(-0.754206\pi\) |
−0.984937 | + | 0.172913i | \(0.944682\pi\) | |||||||
\(854\) | −4.06632 | − | 3.07137i | −0.139147 | − | 0.105100i | ||||
\(855\) | 6.41801 | − | 0.544228i | 0.219491 | − | 0.0186122i | ||||
\(856\) | 16.4888 | + | 15.2993i | 0.563575 | + | 0.522921i | ||||
\(857\) | 28.3866 | − | 35.5957i | 0.969668 | − | 1.21593i | −0.00673705 | − | 0.999977i | \(-0.502144\pi\) |
0.976405 | − | 0.215948i | \(-0.0692841\pi\) | |||||||
\(858\) | 28.6301 | + | 28.3510i | 0.977416 | + | 0.967889i | ||||
\(859\) | 10.1088 | − | 44.2893i | 0.344906 | − | 1.51113i | −0.443667 | − | 0.896192i | \(-0.646323\pi\) |
0.788573 | − | 0.614941i | \(-0.210820\pi\) | |||||||
\(860\) | −7.78503 | + | 2.40136i | −0.265467 | + | 0.0818858i | ||||
\(861\) | −26.0006 | + | 27.6758i | −0.886099 | + | 0.943190i | ||||
\(862\) | −20.9892 | − | 6.47432i | −0.714896 | − | 0.220516i | ||||
\(863\) | −18.6589 | + | 32.3181i | −0.635156 | + | 1.10012i | 0.351327 | + | 0.936253i | \(0.385731\pi\) |
−0.986482 | + | 0.163869i | \(0.947603\pi\) | |||||||
\(864\) | 24.2811 | + | 27.3907i | 0.826060 | + | 0.931851i | ||||
\(865\) | −3.40197 | + | 3.15657i | −0.115670 | + | 0.107327i | ||||
\(866\) | 0.327872 | + | 4.37515i | 0.0111416 | + | 0.148674i | ||||
\(867\) | 20.5032 | + | 20.3033i | 0.696324 | + | 0.689537i | ||||
\(868\) | −31.8631 | + | 36.2050i | −1.08150 | + | 1.22888i | ||||
\(869\) | 5.26753 | − | 13.4214i | 0.178689 | − | 0.455291i | ||||
\(870\) | 5.33518 | + | 7.15530i | 0.180879 | + | 0.242587i | ||||
\(871\) | 11.7311 | + | 14.7103i | 0.397492 | + | 0.498440i | ||||
\(872\) | 1.08458 | + | 14.4727i | 0.0367284 | + | 0.490106i | ||||
\(873\) | −10.5185 | − | 4.00975i | −0.355997 | − | 0.135710i | ||||
\(874\) | −110.206 | + | 53.0725i | −3.72778 | + | 1.79521i | ||||
\(875\) | 2.54164 | + | 7.53066i | 0.0859232 | + | 0.254583i | ||||
\(876\) | −25.7576 | − | 0.837482i | −0.870270 | − | 0.0282959i | ||||
\(877\) | −22.0166 | + | 10.6026i | −0.743447 | + | 0.358025i | −0.766957 | − | 0.641698i | \(-0.778230\pi\) |
0.0235098 | + | 0.999724i | \(0.492516\pi\) | |||||||
\(878\) | 31.8310 | + | 29.5349i | 1.07424 | + | 0.996754i | ||||
\(879\) | −15.9480 | − | 2.93670i | −0.537914 | − | 0.0990526i | ||||
\(880\) | 0.658869 | − | 1.67877i | 0.0222105 | − | 0.0565913i | ||||
\(881\) | 51.1323 | 1.72269 | 0.861345 | − | 0.508021i | \(-0.169623\pi\) | ||||
0.861345 | + | 0.508021i | \(0.169623\pi\) | |||||||
\(882\) | −29.4473 | + | 36.0006i | −0.991541 | + | 1.21220i | ||||
\(883\) | 0.687729 | 0.0231439 | 0.0115720 | − | 0.999933i | \(-0.496316\pi\) | ||||
0.0115720 | + | 0.999933i | \(0.496316\pi\) | |||||||
\(884\) | −1.49889 | + | 3.81911i | −0.0504131 | + | 0.128450i | ||||
\(885\) | 1.38866 | + | 3.90707i | 0.0466792 | + | 0.131335i | ||||
\(886\) | −4.13101 | − | 3.83301i | −0.138784 | − | 0.128773i | ||||
\(887\) | −16.1275 | + | 7.76658i | −0.541508 | + | 0.260776i | −0.684582 | − | 0.728936i | \(-0.740015\pi\) |
0.143075 | + | 0.989712i | \(0.454301\pi\) | |||||||
\(888\) | −17.7800 | + | 28.6067i | −0.596656 | + | 0.959977i | ||||
\(889\) | −27.6964 | − | 28.3181i | −0.928908 | − | 0.949758i | ||||
\(890\) | −3.24316 | + | 1.56182i | −0.108711 | + | 0.0523524i | ||||
\(891\) | −32.7042 | − | 21.3712i | −1.09563 | − | 0.715961i | ||||
\(892\) | 3.21577 | + | 42.9115i | 0.107672 | + | 1.43678i | ||||
\(893\) | −28.1790 | − | 35.3353i | −0.942973 | − | 1.18245i | ||||
\(894\) | 23.4937 | − | 54.5758i | 0.785747 | − | 1.82529i | ||||
\(895\) | 1.68120 | − | 4.28363i | 0.0561963 | − | 0.143186i | ||||
\(896\) | 33.4738 | + | 18.1695i | 1.11828 | + | 0.607001i | ||||
\(897\) | −31.5311 | + | 8.61446i | −1.05279 | + | 0.287629i | ||||
\(898\) | −0.977374 | − | 13.0422i | −0.0326154 | − | 0.435222i | ||||
\(899\) | −35.2972 | + | 32.7510i | −1.17723 | + | 1.09231i | ||||
\(900\) | −13.0084 | − | 40.7507i | −0.433613 | − | 1.35836i | ||||
\(901\) | −1.54569 | + | 2.67722i | −0.0514945 | + | 0.0891911i | ||||
\(902\) | −76.1270 | − | 23.4821i | −2.53475 | − | 0.781867i | ||||
\(903\) | −18.1530 | − | 38.3009i | −0.604095 | − | 1.27457i | ||||
\(904\) | 3.47022 | − | 1.07042i | 0.115418 | − | 0.0356016i | ||||
\(905\) | 0.368310 | − | 1.61367i | 0.0122430 | − | 0.0536403i | ||||
\(906\) | −32.0141 | + | 8.74643i | −1.06360 | + | 0.290581i | ||||
\(907\) | −20.6898 | + | 25.9442i | −0.686995 | + | 0.861465i | −0.995978 | − | 0.0896031i | \(-0.971440\pi\) |
0.308982 | + | 0.951068i | \(0.400012\pi\) | |||||||
\(908\) | 1.93842 | + | 1.79859i | 0.0643286 | + | 0.0596882i | ||||
\(909\) | 17.6849 | + | 25.4009i | 0.586572 | + | 0.842494i | ||||
\(910\) | 4.16447 | − | 1.06648i | 0.138051 | − | 0.0353533i | ||||
\(911\) | 6.59897 | + | 2.03551i | 0.218634 | + | 0.0674395i | 0.402137 | − | 0.915580i | \(-0.368268\pi\) |
−0.183503 | + | 0.983019i | \(0.558744\pi\) | |||||||
\(912\) | 15.3712 | − | 6.79618i | 0.508990 | − | 0.225044i | ||||
\(913\) | 5.92574 | − | 10.2637i | 0.196113 | − | 0.339678i | ||||
\(914\) | 65.4714 | + | 20.1952i | 2.16560 | + | 0.667999i | ||||
\(915\) | −0.215374 | − | 0.402720i | −0.00712003 | − | 0.0133135i | ||||
\(916\) | −14.5130 | − | 36.9786i | −0.479523 | − | 1.22181i | ||||
\(917\) | 11.1135 | − | 1.12743i | 0.366999 | − | 0.0372312i | ||||
\(918\) | 1.15160 | − | 6.61715i | 0.0380085 | − | 0.218398i | ||||
\(919\) | 14.6285 | + | 4.51228i | 0.482549 | + | 0.148847i | 0.526479 | − | 0.850188i | \(-0.323512\pi\) |
−0.0439305 | + | 0.999035i | \(0.513988\pi\) | |||||||
\(920\) | −2.95576 | − | 3.70641i | −0.0974485 | − | 0.122197i | ||||
\(921\) | 27.3049 | + | 0.887788i | 0.899726 | + | 0.0292536i | ||||
\(922\) | 17.5222 | − | 21.9721i | 0.577063 | − | 0.723614i | ||||
\(923\) | 8.75504 | + | 5.96908i | 0.288176 | + | 0.196475i | ||||
\(924\) | −56.2613 | − | 13.2088i | −1.85086 | − | 0.434538i | ||||
\(925\) | −39.3356 | + | 26.8186i | −1.29335 | + | 0.881790i | ||||
\(926\) | −5.71803 | + | 76.3018i | −0.187906 | + | 2.50743i | ||||
\(927\) | 23.0716 | + | 33.1377i | 0.757769 | + | 1.08838i | ||||
\(928\) | 44.6648 | + | 30.4520i | 1.46620 | + | 0.999635i | ||||
\(929\) | −17.0761 | + | 43.5092i | −0.560249 | + | 1.42749i | 0.317448 | + | 0.948276i | \(0.397174\pi\) |
−0.877697 | + | 0.479216i | \(0.840921\pi\) | |||||||
\(930\) | −6.67458 | + | 2.95108i | −0.218868 | + | 0.0967698i | ||||
\(931\) | 27.0075 | + | 41.5657i | 0.885135 | + | 1.36226i | ||||
\(932\) | 30.8650 | + | 53.4598i | 1.01102 | + | 1.75113i | ||||
\(933\) | −21.7869 | + | 13.8389i | −0.713270 | + | 0.453065i | ||||
\(934\) | 7.52094 | − | 3.62190i | 0.246093 | − | 0.118512i | ||||
\(935\) | −0.734008 | + | 0.226411i | −0.0240046 | + | 0.00740444i | ||||
\(936\) | −14.1554 | + | 3.37709i | −0.462685 | + | 0.110384i | ||||
\(937\) | 25.5762 | + | 12.3169i | 0.835539 | + | 0.402374i | 0.802190 | − | 0.597069i | \(-0.203668\pi\) |
0.0333495 | + | 0.999444i | \(0.489383\pi\) | |||||||
\(938\) | −42.8381 | − | 15.5254i | −1.39871 | − | 0.506924i | ||||
\(939\) | 50.0630 | + | 9.21871i | 1.63374 | + | 0.300841i | ||||
\(940\) | 3.50513 | − | 4.39530i | 0.114325 | − | 0.143359i | ||||
\(941\) | −2.05177 | + | 1.39888i | −0.0668859 | + | 0.0456020i | −0.596301 | − | 0.802761i | \(-0.703364\pi\) |
0.529415 | + | 0.848363i | \(0.322411\pi\) | |||||||
\(942\) | 64.5125 | + | 33.6927i | 2.10193 | + | 1.09777i | ||||
\(943\) | 47.3761 | − | 43.9586i | 1.54278 | − | 1.43149i | ||||
\(944\) | 6.74583 | + | 8.45901i | 0.219558 | + | 0.275317i | ||||
\(945\) | −3.74891 | + | 1.82201i | −0.121952 | + | 0.0592700i | ||||
\(946\) | 55.4417 | − | 69.5217i | 1.80256 | − | 2.26034i | ||||
\(947\) | 3.15767 | + | 42.1362i | 0.102610 | + | 1.36924i | 0.776364 | + | 0.630285i | \(0.217062\pi\) |
−0.673753 | + | 0.738956i | \(0.735319\pi\) | |||||||
\(948\) | 9.99053 | + | 13.3988i | 0.324477 | + | 0.435174i | ||||
\(949\) | −6.19623 | + | 10.7322i | −0.201138 | + | 0.348381i | ||||
\(950\) | −76.9757 | −2.49742 | ||||||||
\(951\) | 2.60157 | − | 6.04345i | 0.0843618 | − | 0.195972i | ||||
\(952\) | −0.541730 | − | 3.04791i | −0.0175576 | − | 0.0987832i | ||||
\(953\) | −2.18390 | + | 9.56827i | −0.0707433 | + | 0.309947i | −0.997904 | − | 0.0647183i | \(-0.979385\pi\) |
0.927160 | + | 0.374665i | \(0.122242\pi\) | |||||||
\(954\) | −35.0676 | + | 2.97363i | −1.13536 | + | 0.0962749i | ||||
\(955\) | 1.40357 | + | 0.211555i | 0.0454186 | + | 0.00684575i | ||||
\(956\) | 44.3771 | − | 55.6471i | 1.43526 | − | 1.79975i | ||||
\(957\) | −54.5522 | − | 18.7893i | −1.76342 | − | 0.607371i | ||||
\(958\) | 1.60127 | − | 0.493927i | 0.0517347 | − | 0.0159581i | ||||
\(959\) | 24.4192 | − | 2.47727i | 0.788538 | − | 0.0799952i | ||||
\(960\) | 4.03720 | + | 5.41451i | 0.130300 | + | 0.174753i | ||||
\(961\) | −4.18543 | − | 7.24938i | −0.135014 | − | 0.233851i | ||||
\(962\) | 25.9911 | + | 45.0178i | 0.837985 | + | 1.45143i | ||||
\(963\) | −28.9838 | + | 17.1145i | −0.933991 | + | 0.551507i | ||||
\(964\) | 1.63113 | − | 1.11208i | 0.0525350 | − | 0.0358178i | ||||
\(965\) | −0.532991 | − | 1.35804i | −0.0171576 | − | 0.0437169i | ||||
\(966\) | 54.1994 | − | 57.6915i | 1.74384 | − | 1.85619i | ||||
\(967\) | 5.80730 | − | 14.7968i | 0.186750 | − | 0.475832i | −0.806582 | − | 0.591123i | \(-0.798685\pi\) |
0.993332 | + | 0.115291i | \(0.0367801\pi\) | |||||||
\(968\) | −3.49886 | − | 15.3295i | −0.112458 | − | 0.492709i | ||||
\(969\) | −6.34515 | − | 3.31386i | −0.203836 | − | 0.106456i | ||||
\(970\) | −2.27014 | − | 1.09324i | −0.0728898 | − | 0.0351019i | ||||
\(971\) | 4.87813 | + | 12.4293i | 0.156547 | + | 0.398875i | 0.987532 | − | 0.157420i | \(-0.0503177\pi\) |
−0.830985 | + | 0.556295i | \(0.812223\pi\) | |||||||
\(972\) | 41.0528 | − | 19.1210i | 1.31677 | − | 0.613305i | ||||
\(973\) | 38.8542 | + | 1.88583i | 1.24561 | + | 0.0604570i | ||||
\(974\) | 21.5615 | − | 14.7004i | 0.690875 | − | 0.471031i | ||||
\(975\) | −20.2296 | − | 3.72512i | −0.647866 | − | 0.119299i | ||||
\(976\) | −0.873540 | − | 0.810527i | −0.0279613 | − | 0.0259443i | ||||
\(977\) | −1.13770 | + | 15.1816i | −0.0363984 | + | 0.485703i | 0.948982 | + | 0.315332i | \(0.102116\pi\) |
−0.985380 | + | 0.170371i | \(0.945503\pi\) | |||||||
\(978\) | 27.3172 | + | 14.2668i | 0.873507 | + | 0.456203i | ||||
\(979\) | 11.6348 | − | 20.1520i | 0.371848 | − | 0.644060i | ||||
\(980\) | −4.29312 | + | 4.42569i | −0.137139 | + | 0.141373i | ||||
\(981\) | −21.2198 | − | 4.62508i | −0.677495 | − | 0.147668i | ||||
\(982\) | −18.0501 | + | 2.72061i | −0.576001 | + | 0.0868182i | ||||
\(983\) | −17.9365 | + | 8.63779i | −0.572087 | + | 0.275503i | −0.697480 | − | 0.716605i | \(-0.745695\pi\) |
0.125393 | + | 0.992107i | \(0.459981\pi\) | |||||||
\(984\) | 21.7175 | − | 18.8754i | 0.692330 | − | 0.601725i | ||||
\(985\) | 0.877808 | − | 0.422730i | 0.0279693 | − | 0.0134693i | ||||
\(986\) | −0.741279 | − | 9.89169i | −0.0236071 | − | 0.315015i | ||||
\(987\) | 25.2380 | + | 14.7806i | 0.803335 | + | 0.470471i | ||||
\(988\) | −3.71998 | + | 49.6397i | −0.118348 | + | 1.57925i | ||||
\(989\) | 26.3545 | + | 67.1502i | 0.838024 | + | 2.13525i | ||||
\(990\) | −6.88997 | − | 5.38501i | −0.218978 | − | 0.171147i | ||||
\(991\) | 7.69688 | − | 19.6113i | 0.244499 | − | 0.622974i | −0.754963 | − | 0.655768i | \(-0.772345\pi\) |
0.999462 | + | 0.0327933i | \(0.0104403\pi\) | |||||||
\(992\) | −32.4014 | + | 30.0641i | −1.02875 | + | 0.954537i | ||||
\(993\) | −1.75557 | − | 41.4806i | −0.0557113 | − | 1.31635i | ||||
\(994\) | −25.6308 | − | 1.24402i | −0.812959 | − | 0.0394578i | ||||
\(995\) | −5.53673 | − | 0.834528i | −0.175526 | − | 0.0264563i | ||||
\(996\) | 6.47885 | + | 12.1146i | 0.205290 | + | 0.383866i | ||||
\(997\) | −0.0948738 | − | 0.415669i | −0.00300468 | − | 0.0131644i | 0.973403 | − | 0.229098i | \(-0.0735776\pi\) |
−0.976408 | + | 0.215934i | \(0.930721\pi\) | |||||||
\(998\) | −10.5518 | − | 18.2762i | −0.334010 | − | 0.578522i | ||||
\(999\) | −33.4346 | − | 37.7165i | −1.05782 | − | 1.19330i |
(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 | 441.2.z.a.142.48 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.48 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.48 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.48 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.48 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.48 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.48 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.48 | yes | 648 | 441.382 | even | 21 | inner |