Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(6,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.g (of order \(11\), degree \(10\), 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: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 26.2 | ||
Character | \(\chi\) | \(=\) | 115.26 |
Dual form | 115.2.g.c.31.2 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.166938 | − | 1.16108i | −0.118043 | − | 0.821006i | −0.959707 | − | 0.281004i | \(-0.909333\pi\) |
0.841664 | − | 0.540002i | \(-0.181577\pi\) | |||||||
\(3\) | −0.526900 | + | 1.15375i | −0.304206 | + | 0.666118i | −0.998567 | − | 0.0535081i | \(-0.982960\pi\) |
0.694361 | + | 0.719627i | \(0.255687\pi\) | |||||||
\(4\) | 0.598752 | − | 0.175809i | 0.299376 | − | 0.0879047i | ||||
\(5\) | −0.654861 | + | 0.755750i | −0.292863 | + | 0.337981i | ||||
\(6\) | 1.42755 | + | 0.419168i | 0.582797 | + | 0.171125i | ||||
\(7\) | 4.23310 | − | 2.72045i | 1.59996 | − | 1.02823i | 0.632719 | − | 0.774382i | \(-0.281939\pi\) |
0.967243 | − | 0.253851i | \(-0.0816974\pi\) | |||||||
\(8\) | −1.27866 | − | 2.79988i | −0.452075 | − | 0.989906i | ||||
\(9\) | 0.911065 | + | 1.05142i | 0.303688 | + | 0.350475i | ||||
\(10\) | 0.986805 | + | 0.634181i | 0.312055 | + | 0.200546i | ||||
\(11\) | −0.353136 | + | 2.45612i | −0.106475 | + | 0.740547i | 0.864719 | + | 0.502256i | \(0.167496\pi\) |
−0.971194 | + | 0.238291i | \(0.923413\pi\) | |||||||
\(12\) | −0.112642 | + | 0.783444i | −0.0325170 | + | 0.226161i | ||||
\(13\) | −2.10528 | − | 1.35298i | −0.583900 | − | 0.375250i | 0.215090 | − | 0.976594i | \(-0.430996\pi\) |
−0.798990 | + | 0.601345i | \(0.794632\pi\) | |||||||
\(14\) | −3.86532 | − | 4.46082i | −1.03305 | − | 1.19220i | ||||
\(15\) | −0.526900 | − | 1.15375i | −0.136045 | − | 0.297897i | ||||
\(16\) | −1.98749 | + | 1.27728i | −0.496871 | + | 0.319320i | ||||
\(17\) | −1.81127 | − | 0.531837i | −0.439297 | − | 0.128989i | 0.0546024 | − | 0.998508i | \(-0.482611\pi\) |
−0.493900 | + | 0.869519i | \(0.664429\pi\) | |||||||
\(18\) | 1.06870 | − | 1.23334i | 0.251894 | − | 0.290701i | ||||
\(19\) | −3.66705 | + | 1.07674i | −0.841278 | + | 0.247022i | −0.673855 | − | 0.738864i | \(-0.735363\pi\) |
−0.167423 | + | 0.985885i | \(0.553545\pi\) | |||||||
\(20\) | −0.259231 | + | 0.567637i | −0.0579658 | + | 0.126927i | ||||
\(21\) | 0.908298 | + | 6.31735i | 0.198207 | + | 1.37856i | ||||
\(22\) | 2.91069 | 0.620562 | ||||||||
\(23\) | −0.932397 | + | 4.70432i | −0.194418 | + | 0.980919i | ||||
\(24\) | 3.90409 | 0.796919 | ||||||||
\(25\) | −0.142315 | − | 0.989821i | −0.0284630 | − | 0.197964i | ||||
\(26\) | −1.21947 | + | 2.67026i | −0.239157 | + | 0.523681i | ||||
\(27\) | −5.34410 | + | 1.56917i | −1.02847 | + | 0.301987i | ||||
\(28\) | 2.05630 | − | 2.37309i | 0.388603 | − | 0.448472i | ||||
\(29\) | 2.95230 | + | 0.866872i | 0.548227 | + | 0.160974i | 0.544105 | − | 0.839017i | \(-0.316869\pi\) |
0.00412285 | + | 0.999992i | \(0.498688\pi\) | |||||||
\(30\) | −1.25164 | + | 0.804377i | −0.228516 | + | 0.146859i | ||||
\(31\) | −0.365481 | − | 0.800291i | −0.0656423 | − | 0.143737i | 0.873967 | − | 0.485985i | \(-0.161539\pi\) |
−0.939610 | + | 0.342248i | \(0.888812\pi\) | |||||||
\(32\) | −2.21656 | − | 2.55804i | −0.391836 | − | 0.452203i | ||||
\(33\) | −2.64768 | − | 1.70156i | −0.460902 | − | 0.296203i | ||||
\(34\) | −0.315135 | + | 2.19181i | −0.0540451 | + | 0.375892i | ||||
\(35\) | −0.716114 | + | 4.98068i | −0.121045 | + | 0.841889i | ||||
\(36\) | 0.730352 | + | 0.469369i | 0.121725 | + | 0.0782281i | ||||
\(37\) | −3.98875 | − | 4.60326i | −0.655746 | − | 0.756771i | 0.326330 | − | 0.945256i | \(-0.394188\pi\) |
−0.982076 | + | 0.188485i | \(0.939642\pi\) | |||||||
\(38\) | 1.86235 | + | 4.07798i | 0.302113 | + | 0.661535i | ||||
\(39\) | 2.67028 | − | 1.71608i | 0.427587 | − | 0.274793i | ||||
\(40\) | 2.95335 | + | 0.867182i | 0.466966 | + | 0.137114i | ||||
\(41\) | −0.518323 | + | 0.598177i | −0.0809485 | + | 0.0934196i | −0.794779 | − | 0.606899i | \(-0.792413\pi\) |
0.713830 | + | 0.700319i | \(0.246959\pi\) | |||||||
\(42\) | 7.18331 | − | 2.10921i | 1.10841 | − | 0.325458i | ||||
\(43\) | −4.06629 | + | 8.90393i | −0.620104 | + | 1.35784i | 0.295341 | + | 0.955392i | \(0.404567\pi\) |
−0.915444 | + | 0.402445i | \(0.868160\pi\) | |||||||
\(44\) | 0.220367 | + | 1.53269i | 0.0332216 | + | 0.231061i | ||||
\(45\) | −1.39123 | −0.207393 | ||||||||
\(46\) | 5.61774 | + | 0.297256i | 0.828290 | + | 0.0438280i | ||||
\(47\) | −3.72333 | −0.543103 | −0.271552 | − | 0.962424i | \(-0.587537\pi\) | ||||
−0.271552 | + | 0.962424i | \(0.587537\pi\) | |||||||
\(48\) | −0.426455 | − | 2.96606i | −0.0615535 | − | 0.428114i | ||||
\(49\) | 7.61040 | − | 16.6645i | 1.08720 | − | 2.38064i | ||||
\(50\) | −1.12550 | + | 0.330477i | −0.159170 | + | 0.0467365i | ||||
\(51\) | 1.56797 | − | 1.80953i | 0.219559 | − | 0.253385i | ||||
\(52\) | −1.49841 | − | 0.439972i | −0.207792 | − | 0.0610131i | ||||
\(53\) | 11.8137 | − | 7.59218i | 1.62273 | − | 1.04287i | 0.668538 | − | 0.743678i | \(-0.266920\pi\) |
0.954194 | − | 0.299188i | \(-0.0967159\pi\) | |||||||
\(54\) | 2.71406 | + | 5.94297i | 0.369337 | + | 0.808735i | ||||
\(55\) | −1.62495 | − | 1.87530i | −0.219109 | − | 0.252865i | ||||
\(56\) | −13.0296 | − | 8.37363i | −1.74116 | − | 1.11897i | ||||
\(57\) | 0.689876 | − | 4.79819i | 0.0913763 | − | 0.635536i | ||||
\(58\) | 0.513656 | − | 3.57256i | 0.0674464 | − | 0.469100i | ||||
\(59\) | −9.56417 | − | 6.14652i | −1.24515 | − | 0.800209i | −0.258969 | − | 0.965886i | \(-0.583383\pi\) |
−0.986180 | + | 0.165677i | \(0.947019\pi\) | |||||||
\(60\) | −0.518323 | − | 0.598176i | −0.0669152 | − | 0.0772242i | ||||
\(61\) | 3.20714 | + | 7.02265i | 0.410632 | + | 0.899158i | 0.996081 | + | 0.0884489i | \(0.0281910\pi\) |
−0.585449 | + | 0.810709i | \(0.699082\pi\) | |||||||
\(62\) | −0.868188 | + | 0.557951i | −0.110260 | + | 0.0708598i | ||||
\(63\) | 6.71698 | + | 1.97228i | 0.846260 | + | 0.248484i | ||||
\(64\) | −5.69432 | + | 6.57159i | −0.711790 | + | 0.821449i | ||||
\(65\) | 2.40118 | − | 0.705050i | 0.297830 | − | 0.0874507i | ||||
\(66\) | −1.53365 | + | 3.35822i | −0.188779 | + | 0.413368i | ||||
\(67\) | 0.625402 | + | 4.34977i | 0.0764051 | + | 0.531409i | 0.991695 | + | 0.128613i | \(0.0410525\pi\) |
−0.915290 | + | 0.402796i | \(0.868038\pi\) | |||||||
\(68\) | −1.17800 | −0.142854 | ||||||||
\(69\) | −4.93634 | − | 3.55446i | −0.594265 | − | 0.427907i | ||||
\(70\) | 5.90251 | 0.705484 | ||||||||
\(71\) | −1.25724 | − | 8.74429i | −0.149207 | − | 1.03776i | −0.917522 | − | 0.397685i | \(-0.869814\pi\) |
0.768315 | − | 0.640072i | \(-0.221095\pi\) | |||||||
\(72\) | 1.77892 | − | 3.89529i | 0.209647 | − | 0.459064i | ||||
\(73\) | 5.14563 | − | 1.51089i | 0.602250 | − | 0.176837i | 0.0336266 | − | 0.999434i | \(-0.489294\pi\) |
0.568624 | + | 0.822598i | \(0.307476\pi\) | |||||||
\(74\) | −4.67887 | + | 5.39971i | −0.543908 | + | 0.627703i | ||||
\(75\) | 1.21699 | + | 0.357341i | 0.140526 | + | 0.0412622i | ||||
\(76\) | −2.00635 | + | 1.28940i | −0.230144 | + | 0.147905i | ||||
\(77\) | 5.18688 | + | 11.3577i | 0.591099 | + | 1.29433i | ||||
\(78\) | −2.43828 | − | 2.81392i | −0.276080 | − | 0.318614i | ||||
\(79\) | 11.0500 | + | 7.10141i | 1.24322 | + | 0.798972i | 0.985897 | − | 0.167353i | \(-0.0535219\pi\) |
0.257327 | + | 0.966324i | \(0.417158\pi\) | |||||||
\(80\) | 0.336223 | − | 2.33848i | 0.0375909 | − | 0.261450i | ||||
\(81\) | 0.411398 | − | 2.86134i | 0.0457109 | − | 0.317927i | ||||
\(82\) | 0.781058 | + | 0.501956i | 0.0862534 | + | 0.0554317i | ||||
\(83\) | 2.60507 | + | 3.00641i | 0.285944 | + | 0.329997i | 0.880490 | − | 0.474065i | \(-0.157214\pi\) |
−0.594546 | + | 0.804061i | \(0.702668\pi\) | |||||||
\(84\) | 1.65449 | + | 3.62284i | 0.180520 | + | 0.395284i | ||||
\(85\) | 1.58806 | − | 1.02059i | 0.172250 | − | 0.110698i | ||||
\(86\) | 11.0170 | + | 3.23488i | 1.18799 | + | 0.348826i | ||||
\(87\) | −2.55572 | + | 2.94946i | −0.274002 | + | 0.316215i | ||||
\(88\) | 7.32836 | − | 2.15180i | 0.781206 | − | 0.229383i | ||||
\(89\) | 0.784078 | − | 1.71689i | 0.0831121 | − | 0.181990i | −0.863513 | − | 0.504326i | \(-0.831741\pi\) |
0.946625 | + | 0.322336i | \(0.104468\pi\) | |||||||
\(90\) | 0.232250 | + | 1.61533i | 0.0244813 | + | 0.170271i | ||||
\(91\) | −12.5926 | −1.32006 | ||||||||
\(92\) | 0.268790 | + | 2.98064i | 0.0280233 | + | 0.310754i | ||||
\(93\) | 1.11591 | 0.115714 | ||||||||
\(94\) | 0.621565 | + | 4.32308i | 0.0641095 | + | 0.445891i | ||||
\(95\) | 1.58766 | − | 3.47648i | 0.162890 | − | 0.356680i | ||||
\(96\) | 4.11925 | − | 1.20952i | 0.420419 | − | 0.123446i | ||||
\(97\) | −3.27672 | + | 3.78154i | −0.332700 | + | 0.383957i | −0.897310 | − | 0.441402i | \(-0.854481\pi\) |
0.564609 | + | 0.825358i | \(0.309027\pi\) | |||||||
\(98\) | −20.6192 | − | 6.05434i | −2.08285 | − | 0.611581i | ||||
\(99\) | −2.90415 | + | 1.86638i | −0.291878 | + | 0.187579i | ||||
\(100\) | −0.259231 | − | 0.567637i | −0.0259231 | − | 0.0567637i | ||||
\(101\) | −5.95461 | − | 6.87199i | −0.592506 | − | 0.683788i | 0.377739 | − | 0.925912i | \(-0.376702\pi\) |
−0.970245 | + | 0.242124i | \(0.922156\pi\) | |||||||
\(102\) | −2.36276 | − | 1.51845i | −0.233948 | − | 0.150349i | ||||
\(103\) | −2.32485 | + | 16.1697i | −0.229075 | + | 1.59325i | 0.472945 | + | 0.881092i | \(0.343191\pi\) |
−0.702020 | + | 0.712157i | \(0.747718\pi\) | |||||||
\(104\) | −1.09624 | + | 7.62453i | −0.107495 | + | 0.747647i | ||||
\(105\) | −5.36914 | − | 3.45054i | −0.523975 | − | 0.336738i | ||||
\(106\) | −10.7873 | − | 12.4492i | −1.04775 | − | 1.20917i | ||||
\(107\) | 4.37421 | + | 9.57819i | 0.422871 | + | 0.925958i | 0.994430 | + | 0.105398i | \(0.0336115\pi\) |
−0.571559 | + | 0.820561i | \(0.693661\pi\) | |||||||
\(108\) | −2.92392 | + | 1.87909i | −0.281354 | + | 0.180815i | ||||
\(109\) | 2.03758 | + | 0.598287i | 0.195164 | + | 0.0573055i | 0.377854 | − | 0.925865i | \(-0.376662\pi\) |
−0.182690 | + | 0.983171i | \(0.558480\pi\) | |||||||
\(110\) | −1.90610 | + | 2.19976i | −0.181739 | + | 0.209738i | ||||
\(111\) | 7.41269 | − | 2.17656i | 0.703581 | − | 0.206590i | ||||
\(112\) | −4.93846 | + | 10.8137i | −0.466640 | + | 1.02180i | ||||
\(113\) | −1.27723 | − | 8.88334i | −0.120152 | − | 0.835675i | −0.957382 | − | 0.288824i | \(-0.906736\pi\) |
0.837230 | − | 0.546850i | \(-0.184173\pi\) | |||||||
\(114\) | −5.68624 | −0.532566 | ||||||||
\(115\) | −2.94470 | − | 3.78533i | −0.274595 | − | 0.352984i | ||||
\(116\) | 1.92010 | 0.178276 | ||||||||
\(117\) | −0.495488 | − | 3.44620i | −0.0458079 | − | 0.318601i | ||||
\(118\) | −5.53997 | + | 12.1308i | −0.509995 | + | 1.11673i | ||||
\(119\) | −9.11412 | + | 2.67615i | −0.835490 | + | 0.245322i | ||||
\(120\) | −2.55663 | + | 2.95051i | −0.233388 | + | 0.269344i | ||||
\(121\) | 4.64662 | + | 1.36437i | 0.422420 | + | 0.124034i | ||||
\(122\) | 7.61845 | − | 4.89608i | 0.689742 | − | 0.443270i | ||||
\(123\) | −0.417043 | − | 0.913196i | −0.0376035 | − | 0.0823401i | ||||
\(124\) | −0.359531 | − | 0.414921i | −0.0322868 | − | 0.0372610i | ||||
\(125\) | 0.841254 | + | 0.540641i | 0.0752440 | + | 0.0483564i | ||||
\(126\) | 1.16866 | − | 8.12819i | 0.104112 | − | 0.724116i | ||||
\(127\) | 2.73128 | − | 18.9964i | 0.242362 | − | 1.68566i | −0.397840 | − | 0.917455i | \(-0.630240\pi\) |
0.640201 | − | 0.768207i | \(-0.278851\pi\) | |||||||
\(128\) | 2.88582 | + | 1.85460i | 0.255073 | + | 0.163925i | ||||
\(129\) | −8.13039 | − | 9.38297i | −0.715841 | − | 0.826125i | ||||
\(130\) | −1.21947 | − | 2.67026i | −0.106954 | − | 0.234197i | ||||
\(131\) | 13.1004 | − | 8.41914i | 1.14459 | − | 0.735584i | 0.176036 | − | 0.984384i | \(-0.443672\pi\) |
0.968555 | + | 0.248800i | \(0.0800361\pi\) | |||||||
\(132\) | −1.88445 | − | 0.553325i | −0.164020 | − | 0.0481608i | ||||
\(133\) | −12.5938 | + | 14.5340i | −1.09202 | + | 1.26025i | ||||
\(134\) | 4.94602 | − | 1.45228i | 0.427271 | − | 0.125458i | ||||
\(135\) | 2.31374 | − | 5.06639i | 0.199135 | − | 0.436046i | ||||
\(136\) | 0.826922 | + | 5.75137i | 0.0709080 | + | 0.493176i | ||||
\(137\) | 1.31440 | 0.112297 | 0.0561484 | − | 0.998422i | \(-0.482118\pi\) | ||||
0.0561484 | + | 0.998422i | \(0.482118\pi\) | |||||||
\(138\) | −3.30295 | + | 6.32485i | −0.281166 | + | 0.538407i | ||||
\(139\) | 11.2695 | 0.955868 | 0.477934 | − | 0.878396i | \(-0.341386\pi\) | ||||
0.477934 | + | 0.878396i | \(0.341386\pi\) | |||||||
\(140\) | 0.446876 | + | 3.10809i | 0.0377679 | + | 0.262682i | ||||
\(141\) | 1.96182 | − | 4.29580i | 0.165215 | − | 0.361771i | ||||
\(142\) | −9.94293 | + | 2.91951i | −0.834392 | + | 0.245000i | ||||
\(143\) | 4.06653 | − | 4.69303i | 0.340060 | − | 0.392450i | ||||
\(144\) | −3.15369 | − | 0.926008i | −0.262808 | − | 0.0771673i | ||||
\(145\) | −2.58848 | + | 1.66352i | −0.214962 | + | 0.138147i | ||||
\(146\) | −2.61326 | − | 5.72225i | −0.216275 | − | 0.473577i | ||||
\(147\) | 15.2167 | + | 17.5610i | 1.25505 | + | 1.44841i | ||||
\(148\) | −3.19757 | − | 2.05495i | −0.262838 | − | 0.168916i | ||||
\(149\) | 0.754477 | − | 5.24750i | 0.0618091 | − | 0.429892i | −0.935297 | − | 0.353865i | \(-0.884867\pi\) |
0.997106 | − | 0.0760272i | \(-0.0242236\pi\) | |||||||
\(150\) | 0.211739 | − | 1.47268i | 0.0172884 | − | 0.120244i | ||||
\(151\) | 5.42829 | + | 3.48855i | 0.441748 | + | 0.283894i | 0.742548 | − | 0.669793i | \(-0.233617\pi\) |
−0.300800 | + | 0.953687i | \(0.597254\pi\) | |||||||
\(152\) | 7.70365 | + | 8.89049i | 0.624849 | + | 0.721114i | ||||
\(153\) | −1.09100 | − | 2.38895i | −0.0882019 | − | 0.193135i | ||||
\(154\) | 12.3213 | − | 7.91839i | 0.992876 | − | 0.638082i | ||||
\(155\) | 0.844159 | + | 0.247867i | 0.0678045 | + | 0.0199092i | ||||
\(156\) | 1.29713 | − | 1.49697i | 0.103853 | − | 0.119853i | ||||
\(157\) | −17.1493 | + | 5.03549i | −1.36866 | + | 0.401876i | −0.881809 | − | 0.471607i | \(-0.843674\pi\) |
−0.486855 | + | 0.873483i | \(0.661856\pi\) | |||||||
\(158\) | 6.40063 | − | 14.0154i | 0.509207 | − | 1.11501i | ||||
\(159\) | 2.53486 | + | 17.6304i | 0.201028 | + | 1.39818i | ||||
\(160\) | 3.38478 | 0.267590 | ||||||||
\(161\) | 8.85094 | + | 22.4504i | 0.697552 | + | 1.76934i | ||||
\(162\) | −3.39092 | −0.266416 | ||||||||
\(163\) | −2.36839 | − | 16.4725i | −0.185507 | − | 1.29023i | −0.843470 | − | 0.537177i | \(-0.819491\pi\) |
0.657963 | − | 0.753050i | \(-0.271418\pi\) | |||||||
\(164\) | −0.205182 | + | 0.449286i | −0.0160220 | + | 0.0350833i | ||||
\(165\) | 3.01981 | − | 0.886697i | 0.235092 | − | 0.0690293i | ||||
\(166\) | 3.05580 | − | 3.52658i | 0.237176 | − | 0.273715i | ||||
\(167\) | 6.16250 | + | 1.80947i | 0.476869 | + | 0.140021i | 0.511329 | − | 0.859385i | \(-0.329153\pi\) |
−0.0344607 | + | 0.999406i | \(0.510971\pi\) | |||||||
\(168\) | 16.5264 | − | 10.6209i | 1.27504 | − | 0.819418i | ||||
\(169\) | −2.79875 | − | 6.12841i | −0.215288 | − | 0.471416i | ||||
\(170\) | −1.45009 | − | 1.67349i | −0.111217 | − | 0.128351i | ||||
\(171\) | −4.47303 | − | 2.87464i | −0.342061 | − | 0.219829i | ||||
\(172\) | −0.869303 | + | 6.04614i | −0.0662838 | + | 0.461014i | ||||
\(173\) | −0.503708 | + | 3.50336i | −0.0382962 | + | 0.266356i | −0.999969 | − | 0.00784292i | \(-0.997503\pi\) |
0.961673 | + | 0.274199i | \(0.0884126\pi\) | |||||||
\(174\) | 3.85120 | + | 2.47501i | 0.291959 | + | 0.187630i | ||||
\(175\) | −3.29519 | − | 3.80285i | −0.249093 | − | 0.287469i | ||||
\(176\) | −2.43529 | − | 5.33255i | −0.183567 | − | 0.401956i | ||||
\(177\) | 12.1309 | − | 7.79607i | 0.911816 | − | 0.585988i | ||||
\(178\) | −2.12434 | − | 0.623762i | −0.159226 | − | 0.0467529i | ||||
\(179\) | 3.46740 | − | 4.00160i | 0.259166 | − | 0.299094i | −0.611223 | − | 0.791459i | \(-0.709322\pi\) |
0.870389 | + | 0.492365i | \(0.163868\pi\) | |||||||
\(180\) | −0.833004 | + | 0.244592i | −0.0620885 | + | 0.0182308i | ||||
\(181\) | 4.38761 | − | 9.60753i | 0.326129 | − | 0.714122i | −0.673558 | − | 0.739134i | \(-0.735235\pi\) |
0.999687 | + | 0.0250116i | \(0.00796227\pi\) | |||||||
\(182\) | 2.10218 | + | 14.6210i | 0.155824 | + | 1.08378i | ||||
\(183\) | −9.79223 | −0.723863 | ||||||||
\(184\) | 14.3637 | − | 3.40464i | 1.05891 | − | 0.250993i | ||||
\(185\) | 6.09099 | 0.447818 | ||||||||
\(186\) | −0.186287 | − | 1.29566i | −0.0136593 | − | 0.0950022i | ||||
\(187\) | 1.94588 | − | 4.26088i | 0.142297 | − | 0.311586i | ||||
\(188\) | −2.22935 | + | 0.654596i | −0.162592 | + | 0.0477413i | ||||
\(189\) | −18.3533 | + | 21.1808i | −1.33500 | + | 1.54068i | ||||
\(190\) | −4.30151 | − | 1.26304i | −0.312064 | − | 0.0916304i | ||||
\(191\) | −16.8832 | + | 10.8502i | −1.22163 | + | 0.785093i | −0.982567 | − | 0.185911i | \(-0.940476\pi\) |
−0.239062 | + | 0.971004i | \(0.576840\pi\) | |||||||
\(192\) | −4.58164 | − | 10.0324i | −0.330652 | − | 0.724026i | ||||
\(193\) | 1.48287 | + | 1.71133i | 0.106740 | + | 0.123184i | 0.806605 | − | 0.591090i | \(-0.201302\pi\) |
−0.699866 | + | 0.714274i | \(0.746757\pi\) | |||||||
\(194\) | 4.93767 | + | 3.17325i | 0.354504 | + | 0.227826i | ||||
\(195\) | −0.451731 | + | 3.14186i | −0.0323491 | + | 0.224993i | ||||
\(196\) | 1.62697 | − | 11.3158i | 0.116212 | − | 0.808275i | ||||
\(197\) | −13.3234 | − | 8.56246i | −0.949256 | − | 0.610050i | −0.0282510 | − | 0.999601i | \(-0.508994\pi\) |
−0.921005 | + | 0.389551i | \(0.872630\pi\) | |||||||
\(198\) | 2.65183 | + | 3.06038i | 0.188457 | + | 0.217491i | ||||
\(199\) | −4.52402 | − | 9.90622i | −0.320699 | − | 0.702233i | 0.678785 | − | 0.734337i | \(-0.262507\pi\) |
−0.999485 | + | 0.0321033i | \(0.989779\pi\) | |||||||
\(200\) | −2.58941 | + | 1.66411i | −0.183099 | + | 0.117670i | ||||
\(201\) | −5.34807 | − | 1.57034i | −0.377224 | − | 0.110763i | ||||
\(202\) | −6.98487 | + | 8.06096i | −0.491453 | + | 0.567167i | ||||
\(203\) | 14.8556 | − | 4.36201i | 1.04266 | − | 0.306153i | ||||
\(204\) | 0.620690 | − | 1.35912i | 0.0434570 | − | 0.0951576i | ||||
\(205\) | −0.112642 | − | 0.783445i | −0.00786729 | − | 0.0547182i | ||||
\(206\) | 19.1624 | 1.33511 | ||||||||
\(207\) | −5.79571 | + | 3.30560i | −0.402830 | + | 0.229755i | ||||
\(208\) | 5.91235 | 0.409948 | ||||||||
\(209\) | −1.34964 | − | 9.38692i | −0.0933563 | − | 0.649307i | ||||
\(210\) | −3.11003 | + | 6.81002i | −0.214613 | + | 0.469936i | ||||
\(211\) | −11.0011 | + | 3.23021i | −0.757347 | + | 0.222377i | −0.637537 | − | 0.770420i | \(-0.720047\pi\) |
−0.119810 | + | 0.992797i | \(0.538228\pi\) | |||||||
\(212\) | 5.73868 | − | 6.62279i | 0.394134 | − | 0.454855i | ||||
\(213\) | 10.7512 | + | 3.15683i | 0.736659 | + | 0.216302i | ||||
\(214\) | 10.3908 | − | 6.67776i | 0.710301 | − | 0.456483i | ||||
\(215\) | −4.06629 | − | 8.90393i | −0.277319 | − | 0.607243i | ||||
\(216\) | 11.2268 | + | 12.9564i | 0.763886 | + | 0.881571i | ||||
\(217\) | −3.72427 | − | 2.39344i | −0.252820 | − | 0.162477i | ||||
\(218\) | 0.354509 | − | 2.46566i | 0.0240104 | − | 0.166996i | ||||
\(219\) | −0.968040 | + | 6.73286i | −0.0654141 | + | 0.454965i | ||||
\(220\) | −1.30264 | − | 0.837155i | −0.0878238 | − | 0.0564410i | ||||
\(221\) | 3.09367 | + | 3.57028i | 0.208102 | + | 0.240163i | ||||
\(222\) | −3.76462 | − | 8.24336i | −0.252665 | − | 0.553258i | ||||
\(223\) | −9.57260 | + | 6.15193i | −0.641028 | + | 0.411964i | −0.820378 | − | 0.571821i | \(-0.806237\pi\) |
0.179350 | + | 0.983785i | \(0.442601\pi\) | |||||||
\(224\) | −16.3419 | − | 4.79843i | −1.09189 | − | 0.320608i | ||||
\(225\) | 0.911065 | − | 1.05142i | 0.0607377 | − | 0.0700950i | ||||
\(226\) | −10.1010 | + | 2.96593i | −0.671911 | + | 0.197291i | ||||
\(227\) | 3.55893 | − | 7.79298i | 0.236215 | − | 0.517238i | −0.753986 | − | 0.656891i | \(-0.771871\pi\) |
0.990201 | + | 0.139653i | \(0.0445986\pi\) | |||||||
\(228\) | −0.430503 | − | 2.99421i | −0.0285107 | − | 0.198297i | ||||
\(229\) | 25.9034 | 1.71175 | 0.855873 | − | 0.517187i | \(-0.173021\pi\) | ||||
0.855873 | + | 0.517187i | \(0.173021\pi\) | |||||||
\(230\) | −3.90349 | + | 4.05094i | −0.257388 | + | 0.267111i | ||||
\(231\) | −15.8369 | −1.04199 | ||||||||
\(232\) | −1.34785 | − | 9.37450i | −0.0884907 | − | 0.615466i | ||||
\(233\) | −7.35670 | + | 16.1089i | −0.481953 | + | 1.05533i | 0.499969 | + | 0.866044i | \(0.333345\pi\) |
−0.981922 | + | 0.189287i | \(0.939382\pi\) | |||||||
\(234\) | −3.91859 | + | 1.15060i | −0.256166 | + | 0.0752172i | ||||
\(235\) | 2.43826 | − | 2.81390i | 0.159055 | − | 0.183559i | ||||
\(236\) | −6.80718 | − | 1.99877i | −0.443110 | − | 0.130109i | ||||
\(237\) | −14.0155 | + | 9.00723i | −0.910406 | + | 0.585082i | ||||
\(238\) | 4.62871 | + | 10.1355i | 0.300035 | + | 0.656984i | ||||
\(239\) | 7.92190 | + | 9.14236i | 0.512425 | + | 0.591370i | 0.951718 | − | 0.306974i | \(-0.0993164\pi\) |
−0.439293 | + | 0.898344i | \(0.644771\pi\) | |||||||
\(240\) | 2.52087 | + | 1.62006i | 0.162721 | + | 0.104575i | ||||
\(241\) | 2.10906 | − | 14.6688i | 0.135856 | − | 0.944901i | −0.801863 | − | 0.597508i | \(-0.796158\pi\) |
0.937720 | − | 0.347393i | \(-0.112933\pi\) | |||||||
\(242\) | 0.808445 | − | 5.62286i | 0.0519688 | − | 0.361451i | ||||
\(243\) | −10.9721 | − | 7.05135i | −0.703862 | − | 0.452345i | ||||
\(244\) | 3.15493 | + | 3.64098i | 0.201973 | + | 0.233090i | ||||
\(245\) | 7.61040 | + | 16.6645i | 0.486211 | + | 1.06465i | ||||
\(246\) | −0.990671 | + | 0.636666i | −0.0631629 | + | 0.0405923i | ||||
\(247\) | 9.17697 | + | 2.69460i | 0.583917 | + | 0.171453i | ||||
\(248\) | −1.77339 | + | 2.04660i | −0.112610 | + | 0.129959i | ||||
\(249\) | −4.84127 | + | 1.42152i | −0.306803 | + | 0.0900854i | ||||
\(250\) | 0.487289 | − | 1.06701i | 0.0308189 | − | 0.0674839i | ||||
\(251\) | −0.201437 | − | 1.40102i | −0.0127146 | − | 0.0884317i | 0.982476 | − | 0.186389i | \(-0.0596784\pi\) |
−0.995191 | + | 0.0979569i | \(0.968769\pi\) | |||||||
\(252\) | 4.36855 | 0.275193 | ||||||||
\(253\) | −11.2251 | − | 3.95134i | −0.705716 | − | 0.248419i | ||||
\(254\) | −22.5123 | −1.41255 | ||||||||
\(255\) | 0.340752 | + | 2.36998i | 0.0213387 | + | 0.148414i | ||||
\(256\) | −5.55287 | + | 12.1591i | −0.347054 | + | 0.759942i | ||||
\(257\) | 11.5131 | − | 3.38055i | 0.718167 | − | 0.210873i | 0.0978245 | − | 0.995204i | \(-0.468812\pi\) |
0.620343 | + | 0.784331i | \(0.286993\pi\) | |||||||
\(258\) | −9.53710 | + | 11.0064i | −0.593754 | + | 0.685228i | ||||
\(259\) | −29.4077 | − | 8.63488i | −1.82731 | − | 0.536546i | ||||
\(260\) | 1.31376 | − | 0.844300i | 0.0814757 | − | 0.0523613i | ||||
\(261\) | 1.77828 | + | 3.89389i | 0.110073 | + | 0.241026i | ||||
\(262\) | −11.9622 | − | 13.8052i | −0.739030 | − | 0.852886i | ||||
\(263\) | 17.0211 | + | 10.9388i | 1.04956 | + | 0.674514i | 0.947334 | − | 0.320247i | \(-0.103766\pi\) |
0.102230 | + | 0.994761i | \(0.467402\pi\) | |||||||
\(264\) | −1.37867 | + | 9.58889i | −0.0848516 | + | 0.590156i | ||||
\(265\) | −1.99852 | + | 13.9000i | −0.122768 | + | 0.853870i | ||||
\(266\) | 18.9774 | + | 12.1961i | 1.16358 | + | 0.747789i | ||||
\(267\) | 1.56773 | + | 1.80926i | 0.0959438 | + | 0.110725i | ||||
\(268\) | 1.13919 | + | 2.49448i | 0.0695872 | + | 0.152375i | ||||
\(269\) | −2.75393 | + | 1.76984i | −0.167910 | + | 0.107909i | −0.621897 | − | 0.783099i | \(-0.713638\pi\) |
0.453987 | + | 0.891008i | \(0.350001\pi\) | |||||||
\(270\) | −6.26873 | − | 1.84066i | −0.381503 | − | 0.112019i | ||||
\(271\) | −17.3789 | + | 20.0563i | −1.05569 | + | 1.21833i | −0.0805495 | + | 0.996751i | \(0.525668\pi\) |
−0.975142 | + | 0.221582i | \(0.928878\pi\) | |||||||
\(272\) | 4.27918 | − | 1.25648i | 0.259463 | − | 0.0761853i | ||||
\(273\) | 6.63504 | − | 14.5287i | 0.401571 | − | 0.879317i | ||||
\(274\) | −0.219423 | − | 1.52612i | −0.0132558 | − | 0.0921964i | ||||
\(275\) | 2.48137 | 0.149632 | ||||||||
\(276\) | −3.58055 | − | 1.26039i | −0.215524 | − | 0.0758663i | ||||
\(277\) | 13.7768 | 0.827771 | 0.413885 | − | 0.910329i | \(-0.364171\pi\) | ||||
0.413885 | + | 0.910329i | \(0.364171\pi\) | |||||||
\(278\) | −1.88131 | − | 13.0848i | −0.112833 | − | 0.784773i | ||||
\(279\) | 0.508470 | − | 1.11339i | 0.0304413 | − | 0.0666571i | ||||
\(280\) | 14.8610 | − | 4.36357i | 0.888112 | − | 0.260773i | ||||
\(281\) | 7.29568 | − | 8.41967i | 0.435224 | − | 0.502275i | −0.495190 | − | 0.868784i | \(-0.664902\pi\) |
0.930414 | + | 0.366509i | \(0.119447\pi\) | |||||||
\(282\) | −5.31526 | − | 1.56070i | −0.316519 | − | 0.0929383i | ||||
\(283\) | −14.6074 | + | 9.38758i | −0.868317 | + | 0.558033i | −0.897238 | − | 0.441548i | \(-0.854429\pi\) |
0.0289205 | + | 0.999582i | \(0.490793\pi\) | |||||||
\(284\) | −2.29010 | − | 5.01463i | −0.135893 | − | 0.297563i | ||||
\(285\) | 3.17446 | + | 3.66352i | 0.188039 | + | 0.217008i | ||||
\(286\) | −6.12783 | − | 3.93812i | −0.362346 | − | 0.232866i | ||||
\(287\) | −0.566805 | + | 3.94222i | −0.0334574 | + | 0.232702i | ||||
\(288\) | 0.670163 | − | 4.66109i | 0.0394898 | − | 0.274657i | ||||
\(289\) | −11.3035 | − | 7.26429i | −0.664910 | − | 0.427311i | ||||
\(290\) | 2.36359 | + | 2.72772i | 0.138795 | + | 0.160177i | ||||
\(291\) | −2.63645 | − | 5.77301i | −0.154551 | − | 0.338420i | ||||
\(292\) | 2.81532 | − | 1.80930i | 0.164754 | − | 0.105881i | ||||
\(293\) | 22.7846 | + | 6.69017i | 1.33109 | + | 0.390844i | 0.868483 | − | 0.495718i | \(-0.165095\pi\) |
0.462609 | + | 0.886562i | \(0.346913\pi\) | |||||||
\(294\) | 17.8495 | − | 20.5994i | 1.04100 | − | 1.20138i | ||||
\(295\) | 10.9084 | − | 3.20300i | 0.635113 | − | 0.186486i | ||||
\(296\) | −7.78831 | + | 17.0540i | −0.452686 | + | 0.991244i | ||||
\(297\) | −1.96687 | − | 13.6799i | −0.114129 | − | 0.793786i | ||||
\(298\) | −6.21871 | −0.360240 | ||||||||
\(299\) | 8.32782 | − | 8.64240i | 0.481610 | − | 0.499803i | ||||
\(300\) | 0.791501 | 0.0456973 | ||||||||
\(301\) | 7.00968 | + | 48.7534i | 0.404031 | + | 2.81010i | ||||
\(302\) | 3.14429 | − | 6.88504i | 0.180934 | − | 0.396190i | ||||
\(303\) | 11.0661 | − | 3.24929i | 0.635728 | − | 0.186667i | ||||
\(304\) | 5.91290 | − | 6.82385i | 0.339128 | − | 0.391375i | ||||
\(305\) | −7.40759 | − | 2.17507i | −0.424158 | − | 0.124544i | ||||
\(306\) | −2.59163 | + | 1.66554i | −0.148154 | + | 0.0952126i | ||||
\(307\) | 0.222646 | + | 0.487527i | 0.0127071 | + | 0.0278246i | 0.915879 | − | 0.401454i | \(-0.131495\pi\) |
−0.903172 | + | 0.429279i | \(0.858768\pi\) | |||||||
\(308\) | 5.10244 | + | 5.88853i | 0.290738 | + | 0.335530i | ||||
\(309\) | −17.4309 | − | 11.2021i | −0.991607 | − | 0.637267i | ||||
\(310\) | 0.146871 | − | 1.02151i | 0.00834173 | − | 0.0580180i | ||||
\(311\) | −0.683161 | + | 4.75149i | −0.0387385 | + | 0.269432i | −0.999980 | − | 0.00627437i | \(-0.998003\pi\) |
0.961242 | + | 0.275707i | \(0.0889119\pi\) | |||||||
\(312\) | −8.21920 | − | 5.28216i | −0.465321 | − | 0.299043i | ||||
\(313\) | −0.194803 | − | 0.224815i | −0.0110109 | − | 0.0127073i | 0.750217 | − | 0.661191i | \(-0.229949\pi\) |
−0.761228 | + | 0.648484i | \(0.775403\pi\) | |||||||
\(314\) | 8.70947 | + | 19.0711i | 0.491504 | + | 1.07624i | ||||
\(315\) | −5.88924 | + | 3.78478i | −0.331821 | + | 0.213248i | ||||
\(316\) | 7.86471 | + | 2.30929i | 0.442425 | + | 0.129908i | ||||
\(317\) | −1.17601 | + | 1.35718i | −0.0660511 | + | 0.0762270i | −0.787813 | − | 0.615914i | \(-0.788787\pi\) |
0.721762 | + | 0.692141i | \(0.243332\pi\) | |||||||
\(318\) | 20.0471 | − | 5.88635i | 1.12418 | − | 0.330090i | ||||
\(319\) | −3.17170 | + | 6.94505i | −0.177581 | + | 0.388848i | ||||
\(320\) | −1.23749 | − | 8.60695i | −0.0691780 | − | 0.481143i | ||||
\(321\) | −13.3556 | −0.745438 | ||||||||
\(322\) | 24.5891 | − | 14.0245i | 1.37030 | − | 0.781552i | ||||
\(323\) | 7.21466 | 0.401434 | ||||||||
\(324\) | −0.256725 | − | 1.78556i | −0.0142625 | − | 0.0991977i | ||||
\(325\) | −1.03960 | + | 2.27640i | −0.0576665 | + | 0.126272i | ||||
\(326\) | −18.7305 | + | 5.49977i | −1.03739 | + | 0.304604i | ||||
\(327\) | −1.76387 | + | 2.03562i | −0.0975425 | + | 0.112570i | ||||
\(328\) | 2.33758 | + | 0.686376i | 0.129071 | + | 0.0378988i | ||||
\(329\) | −15.7612 | + | 10.1291i | −0.868945 | + | 0.558437i | ||||
\(330\) | −1.53365 | − | 3.35822i | −0.0844244 | − | 0.184864i | ||||
\(331\) | −2.39640 | − | 2.76559i | −0.131718 | − | 0.152011i | 0.686059 | − | 0.727546i | \(-0.259339\pi\) |
−0.817777 | + | 0.575535i | \(0.804794\pi\) | |||||||
\(332\) | 2.08835 | + | 1.34210i | 0.114613 | + | 0.0736573i | ||||
\(333\) | 1.20597 | − | 8.38774i | 0.0660870 | − | 0.459645i | ||||
\(334\) | 1.07219 | − | 7.45722i | 0.0586674 | − | 0.408041i | ||||
\(335\) | −3.69689 | − | 2.37585i | −0.201983 | − | 0.129806i | ||||
\(336\) | −9.87425 | − | 11.3955i | −0.538685 | − | 0.621675i | ||||
\(337\) | −7.74141 | − | 16.9513i | −0.421701 | − | 0.923397i | −0.994601 | − | 0.103772i | \(-0.966909\pi\) |
0.572900 | − | 0.819625i | \(-0.305818\pi\) | |||||||
\(338\) | −6.64834 | + | 4.27263i | −0.361622 | + | 0.232400i | ||||
\(339\) | 10.9221 | + | 3.20703i | 0.593209 | + | 0.174182i | ||||
\(340\) | 0.771428 | − | 0.890275i | 0.0418365 | − | 0.0482819i | ||||
\(341\) | 2.09467 | − | 0.615051i | 0.113433 | − | 0.0333069i | ||||
\(342\) | −2.59097 | + | 5.67342i | −0.140103 | + | 0.306784i | ||||
\(343\) | −8.10640 | − | 56.3813i | −0.437705 | − | 3.04430i | ||||
\(344\) | 30.1293 | 1.62446 | ||||||||
\(345\) | 5.91890 | − | 1.40296i | 0.318663 | − | 0.0755326i | ||||
\(346\) | 4.15177 | 0.223200 | ||||||||
\(347\) | 0.715326 | + | 4.97520i | 0.0384007 | + | 0.267083i | 0.999972 | − | 0.00747221i | \(-0.00237850\pi\) |
−0.961571 | + | 0.274555i | \(0.911469\pi\) | |||||||
\(348\) | −1.01170 | + | 2.21531i | −0.0542328 | + | 0.118753i | ||||
\(349\) | 31.2750 | − | 9.18317i | 1.67411 | − | 0.491564i | 0.699345 | − | 0.714784i | \(-0.253475\pi\) |
0.974768 | + | 0.223220i | \(0.0716569\pi\) | |||||||
\(350\) | −3.86532 | + | 4.46082i | −0.206610 | + | 0.238441i | ||||
\(351\) | 13.3739 | + | 3.92693i | 0.713846 | + | 0.209604i | ||||
\(352\) | 7.06560 | − | 4.54078i | 0.376598 | − | 0.242025i | ||||
\(353\) | 5.14962 | + | 11.2761i | 0.274086 | + | 0.600166i | 0.995752 | − | 0.0920764i | \(-0.0293504\pi\) |
−0.721666 | + | 0.692242i | \(0.756623\pi\) | |||||||
\(354\) | −11.0770 | − | 12.7835i | −0.588734 | − | 0.679435i | ||||
\(355\) | 7.43181 | + | 4.77614i | 0.394440 | + | 0.253491i | ||||
\(356\) | 0.167622 | − | 1.16584i | 0.00888397 | − | 0.0617894i | ||||
\(357\) | 1.71463 | − | 11.9255i | 0.0907477 | − | 0.631164i | ||||
\(358\) | −5.22501 | − | 3.35791i | −0.276150 | − | 0.177471i | ||||
\(359\) | 9.77689 | + | 11.2831i | 0.516005 | + | 0.595501i | 0.952626 | − | 0.304144i | \(-0.0983705\pi\) |
−0.436621 | + | 0.899645i | \(0.643825\pi\) | |||||||
\(360\) | 1.77892 | + | 3.89529i | 0.0937572 | + | 0.205300i | ||||
\(361\) | −3.69596 | + | 2.37525i | −0.194524 | + | 0.125013i | ||||
\(362\) | −11.8876 | − | 3.49050i | −0.624796 | − | 0.183457i | ||||
\(363\) | −4.02245 | + | 4.64216i | −0.211124 | + | 0.243650i | ||||
\(364\) | −7.53983 | + | 2.21389i | −0.395194 | + | 0.116040i | ||||
\(365\) | −2.22781 | + | 4.87823i | −0.116609 | + | 0.255338i | ||||
\(366\) | 1.63469 | + | 11.3695i | 0.0854468 | + | 0.594296i | ||||
\(367\) | 0.902180 | 0.0470934 | 0.0235467 | − | 0.999723i | \(-0.492504\pi\) | ||||
0.0235467 | + | 0.999723i | \(0.492504\pi\) | |||||||
\(368\) | −4.15561 | − | 10.5407i | −0.216626 | − | 0.549472i | ||||
\(369\) | −1.10116 | −0.0573243 | ||||||||
\(370\) | −1.01682 | − | 7.07211i | −0.0528618 | − | 0.367662i | ||||
\(371\) | 29.3543 | − | 64.2770i | 1.52400 | − | 3.33709i | ||||
\(372\) | 0.668152 | − | 0.196187i | 0.0346421 | − | 0.0101718i | ||||
\(373\) | −13.3965 | + | 15.4604i | −0.693643 | + | 0.800507i | −0.987879 | − | 0.155226i | \(-0.950389\pi\) |
0.294236 | + | 0.955733i | \(0.404935\pi\) | |||||||
\(374\) | −5.27205 | − | 1.54801i | −0.272611 | − | 0.0800459i | ||||
\(375\) | −1.06702 | + | 0.685733i | −0.0551008 | + | 0.0354111i | ||||
\(376\) | 4.76088 | + | 10.4249i | 0.245523 | + | 0.537621i | ||||
\(377\) | −5.04255 | − | 5.81941i | −0.259704 | − | 0.299715i | ||||
\(378\) | 27.6564 | + | 17.7737i | 1.42249 | + | 0.914181i | ||||
\(379\) | 1.00767 | − | 7.00847i | 0.0517603 | − | 0.360001i | −0.947437 | − | 0.319942i | \(-0.896336\pi\) |
0.999197 | − | 0.0400585i | \(-0.0127544\pi\) | |||||||
\(380\) | 0.339414 | − | 2.36068i | 0.0174116 | − | 0.121100i | ||||
\(381\) | 20.4781 | + | 13.1605i | 1.04912 | + | 0.674230i | ||||
\(382\) | 15.4164 | + | 17.7915i | 0.788771 | + | 0.910290i | ||||
\(383\) | −6.68229 | − | 14.6322i | −0.341449 | − | 0.747670i | 0.658539 | − | 0.752547i | \(-0.271175\pi\) |
−0.999988 | + | 0.00487710i | \(0.998448\pi\) | |||||||
\(384\) | −3.66029 | + | 2.35232i | −0.186788 | + | 0.120041i | ||||
\(385\) | −11.9802 | − | 3.51772i | −0.610570 | − | 0.179279i | ||||
\(386\) | 1.73944 | − | 2.00742i | 0.0885350 | − | 0.102175i | ||||
\(387\) | −13.0665 | + | 3.83666i | −0.664206 | + | 0.195029i | ||||
\(388\) | −1.29711 | + | 2.84028i | −0.0658509 | + | 0.144193i | ||||
\(389\) | 2.99409 | + | 20.8244i | 0.151806 | + | 1.05584i | 0.913190 | + | 0.407535i | \(0.133612\pi\) |
−0.761383 | + | 0.648302i | \(0.775479\pi\) | |||||||
\(390\) | 3.72335 | 0.188539 | ||||||||
\(391\) | 4.19075 | − | 8.02491i | 0.211935 | − | 0.405837i | ||||
\(392\) | −56.3895 | −2.84810 | ||||||||
\(393\) | 2.81097 | + | 19.5507i | 0.141794 | + | 0.986202i | ||||
\(394\) | −7.71749 | + | 16.8990i | −0.388802 | + | 0.851357i | ||||
\(395\) | −12.6031 | + | 3.70061i | −0.634131 | + | 0.186198i | ||||
\(396\) | −1.41074 | + | 1.62808i | −0.0708922 | + | 0.0818140i | ||||
\(397\) | 16.1063 | + | 4.72925i | 0.808354 | + | 0.237354i | 0.659694 | − | 0.751534i | \(-0.270686\pi\) |
0.148660 | + | 0.988888i | \(0.452504\pi\) | |||||||
\(398\) | −10.7467 | + | 6.90646i | −0.538682 | + | 0.346190i | ||||
\(399\) | −10.1329 | − | 22.1880i | −0.507281 | − | 1.11079i | ||||
\(400\) | 1.54713 | + | 1.78548i | 0.0773564 | + | 0.0892740i | ||||
\(401\) | 10.1816 | + | 6.54329i | 0.508443 | + | 0.326756i | 0.769585 | − | 0.638544i | \(-0.220463\pi\) |
−0.261143 | + | 0.965300i | \(0.584099\pi\) | |||||||
\(402\) | −0.930487 | + | 6.47168i | −0.0464085 | + | 0.322778i | ||||
\(403\) | −0.313340 | + | 2.17933i | −0.0156086 | + | 0.108560i | ||||
\(404\) | −4.77349 | − | 3.06774i | −0.237490 | − | 0.152626i | ||||
\(405\) | 1.89305 | + | 2.18469i | 0.0940663 | + | 0.108558i | ||||
\(406\) | −7.54461 | − | 16.5204i | −0.374432 | − | 0.819893i | ||||
\(407\) | 12.7147 | − | 8.17125i | 0.630245 | − | 0.405034i | ||||
\(408\) | −7.07136 | − | 2.07634i | −0.350084 | − | 0.102794i | ||||
\(409\) | 9.48192 | − | 10.9427i | 0.468851 | − | 0.541083i | −0.471241 | − | 0.882005i | \(-0.656194\pi\) |
0.940092 | + | 0.340922i | \(0.110739\pi\) | |||||||
\(410\) | −0.890837 | + | 0.261573i | −0.0439953 | + | 0.0129182i | ||||
\(411\) | −0.692558 | + | 1.51649i | −0.0341614 | + | 0.0748030i | ||||
\(412\) | 1.45078 | + | 10.0904i | 0.0714746 | + | 0.497117i | ||||
\(413\) | −57.2074 | −2.81499 | ||||||||
\(414\) | 4.80558 | + | 6.17745i | 0.236181 | + | 0.303605i | ||||
\(415\) | −3.97806 | −0.195275 | ||||||||
\(416\) | 1.20549 | + | 8.38436i | 0.0591040 | + | 0.411077i | ||||
\(417\) | −5.93791 | + | 13.0022i | −0.290781 | + | 0.636721i | ||||
\(418\) | −10.6736 | + | 3.13407i | −0.522065 | + | 0.153292i | ||||
\(419\) | 16.0605 | − | 18.5348i | 0.784606 | − | 0.905483i | −0.212827 | − | 0.977090i | \(-0.568267\pi\) |
0.997433 | + | 0.0716065i | \(0.0228126\pi\) | |||||||
\(420\) | −3.82142 | − | 1.12207i | −0.186466 | − | 0.0547514i | ||||
\(421\) | −11.4847 | + | 7.38078i | −0.559731 | + | 0.359717i | −0.789712 | − | 0.613478i | \(-0.789770\pi\) |
0.229981 | + | 0.973195i | \(0.426134\pi\) | |||||||
\(422\) | 5.58703 | + | 12.2339i | 0.271972 | + | 0.595536i | ||||
\(423\) | −3.39219 | − | 3.91480i | −0.164934 | − | 0.190344i | ||||
\(424\) | −36.3629 | − | 23.3690i | −1.76594 | − | 1.13490i | ||||
\(425\) | −0.268653 | + | 1.86852i | −0.0130316 | + | 0.0906366i | ||||
\(426\) | 1.87055 | − | 13.0100i | 0.0906284 | − | 0.630334i | ||||
\(427\) | 32.6809 | + | 21.0027i | 1.58154 | + | 1.01639i | ||||
\(428\) | 4.30300 | + | 4.96593i | 0.207993 | + | 0.240037i | ||||
\(429\) | 3.27193 | + | 7.16452i | 0.157970 | + | 0.345906i | ||||
\(430\) | −9.65935 | + | 6.20769i | −0.465815 | + | 0.299361i | ||||
\(431\) | 0.0983260 | + | 0.0288711i | 0.00473619 | + | 0.00139067i | 0.284100 | − | 0.958795i | \(-0.408305\pi\) |
−0.279364 | + | 0.960185i | \(0.590123\pi\) | |||||||
\(432\) | 8.61706 | − | 9.94462i | 0.414588 | − | 0.478461i | ||||
\(433\) | 6.79420 | − | 1.99496i | 0.326508 | − | 0.0958715i | −0.114370 | − | 0.993438i | \(-0.536485\pi\) |
0.440879 | + | 0.897567i | \(0.354667\pi\) | |||||||
\(434\) | −2.15725 | + | 4.72372i | −0.103551 | + | 0.226746i | ||||
\(435\) | −0.555411 | − | 3.86297i | −0.0266299 | − | 0.185215i | ||||
\(436\) | 1.32519 | 0.0634650 | ||||||||
\(437\) | −1.64620 | − | 18.2549i | −0.0787483 | − | 0.873251i | ||||
\(438\) | 7.97898 | 0.381251 | ||||||||
\(439\) | 5.14161 | + | 35.7607i | 0.245396 | + | 1.70677i | 0.624180 | + | 0.781281i | \(0.285433\pi\) |
−0.378784 | + | 0.925485i | \(0.623658\pi\) | |||||||
\(440\) | −3.17283 | + | 6.94754i | −0.151259 | + | 0.331211i | ||||
\(441\) | 24.4550 | − | 7.18063i | 1.16452 | − | 0.341935i | ||||
\(442\) | 3.62892 | − | 4.18800i | 0.172610 | − | 0.199203i | ||||
\(443\) | 31.9263 | + | 9.37440i | 1.51686 | + | 0.445391i | 0.931000 | − | 0.365019i | \(-0.118937\pi\) |
0.585863 | + | 0.810410i | \(0.300756\pi\) | |||||||
\(444\) | 4.05570 | − | 2.60644i | 0.192475 | − | 0.123696i | ||||
\(445\) | 0.784078 | + | 1.71689i | 0.0371689 | + | 0.0813885i | ||||
\(446\) | 8.74090 | + | 10.0875i | 0.413894 | + | 0.477659i | ||||
\(447\) | 5.65677 | + | 3.63539i | 0.267556 | + | 0.171948i | ||||
\(448\) | −6.22694 | + | 43.3093i | −0.294195 | + | 2.04617i | ||||
\(449\) | −1.56057 | + | 10.8540i | −0.0736478 | + | 0.512232i | 0.919289 | + | 0.393584i | \(0.128765\pi\) |
−0.992936 | + | 0.118648i | \(0.962144\pi\) | |||||||
\(450\) | −1.37288 | − | 0.882295i | −0.0647181 | − | 0.0415918i | ||||
\(451\) | −1.28615 | − | 1.48430i | −0.0605626 | − | 0.0698930i | ||||
\(452\) | −2.32652 | − | 5.09437i | −0.109430 | − | 0.239619i | ||||
\(453\) | −6.88509 | + | 4.42478i | −0.323490 | + | 0.207894i | ||||
\(454\) | −9.64238 | − | 2.83126i | −0.452539 | − | 0.132877i | ||||
\(455\) | 8.24639 | − | 9.51684i | 0.386597 | − | 0.446156i | ||||
\(456\) | −14.3165 | + | 4.20370i | −0.670430 | + | 0.196856i | ||||
\(457\) | 0.387506 | − | 0.848519i | 0.0181268 | − | 0.0396921i | −0.900352 | − | 0.435162i | \(-0.856691\pi\) |
0.918479 | + | 0.395470i | \(0.129418\pi\) | |||||||
\(458\) | −4.32426 | − | 30.0759i | −0.202059 | − | 1.40535i | ||||
\(459\) | 10.5142 | 0.490759 | ||||||||
\(460\) | −2.42864 | − | 1.74877i | −0.113236 | − | 0.0815368i | ||||
\(461\) | −35.1644 | −1.63777 | −0.818884 | − | 0.573959i | \(-0.805407\pi\) | ||||
−0.818884 | + | 0.573959i | \(0.805407\pi\) | |||||||
\(462\) | 2.64378 | + | 18.3879i | 0.123000 | + | 0.855481i | ||||
\(463\) | 4.04778 | − | 8.86341i | 0.188116 | − | 0.411918i | −0.791950 | − | 0.610585i | \(-0.790934\pi\) |
0.980067 | + | 0.198668i | \(0.0636615\pi\) | |||||||
\(464\) | −6.97488 | + | 2.04801i | −0.323801 | + | 0.0950765i | ||||
\(465\) | −0.730765 | + | 0.843348i | −0.0338884 | + | 0.0391093i | ||||
\(466\) | 19.9318 | + | 5.85251i | 0.923324 | + | 0.271112i | ||||
\(467\) | −12.2705 | + | 7.88574i | −0.567809 | + | 0.364909i | −0.792828 | − | 0.609446i | \(-0.791392\pi\) |
0.225019 | + | 0.974354i | \(0.427756\pi\) | |||||||
\(468\) | −0.902548 | − | 1.97631i | −0.0417203 | − | 0.0913548i | ||||
\(469\) | 14.4807 | + | 16.7116i | 0.668657 | + | 0.771672i | ||||
\(470\) | −3.67420 | − | 2.36127i | −0.169478 | − | 0.108917i | ||||
\(471\) | 3.22627 | − | 22.4392i | 0.148659 | − | 1.03395i | ||||
\(472\) | −4.98017 | + | 34.6378i | −0.229231 | + | 1.59434i | ||||
\(473\) | −20.4331 | − | 13.1316i | −0.939517 | − | 0.603791i | ||||
\(474\) | 12.7978 | + | 14.7695i | 0.587823 | + | 0.678384i | ||||
\(475\) | 1.58766 | + | 3.47648i | 0.0728467 | + | 0.159512i | ||||
\(476\) | −4.98661 | + | 3.20470i | −0.228561 | + | 0.146887i | ||||
\(477\) | 18.7456 | + | 5.50421i | 0.858303 | + | 0.252021i | ||||
\(478\) | 9.29253 | − | 10.7242i | 0.425030 | − | 0.490511i | ||||
\(479\) | −16.9772 | + | 4.98495i | −0.775707 | + | 0.227768i | −0.645543 | − | 0.763724i | \(-0.723369\pi\) |
−0.130165 | + | 0.991492i | \(0.541551\pi\) | |||||||
\(480\) | −1.78344 | + | 3.90519i | −0.0814026 | + | 0.178247i | ||||
\(481\) | 2.16931 | + | 15.0879i | 0.0989118 | + | 0.687947i | ||||
\(482\) | −17.3837 | −0.791806 | ||||||||
\(483\) | −30.5657 | − | 1.61735i | −1.39079 | − | 0.0735920i | ||||
\(484\) | 3.02204 | 0.137366 | ||||||||
\(485\) | −0.712099 | − | 4.95276i | −0.0323348 | − | 0.224893i | ||||
\(486\) | −6.35551 | + | 13.9166i | −0.288292 | + | 0.631271i | ||||
\(487\) | −41.3714 | + | 12.1477i | −1.87472 | + | 0.550467i | −0.877195 | + | 0.480134i | \(0.840588\pi\) |
−0.997524 | + | 0.0703329i | \(0.977594\pi\) | |||||||
\(488\) | 15.5617 | − | 17.9592i | 0.704446 | − | 0.812974i | ||||
\(489\) | 20.2531 | + | 5.94684i | 0.915876 | + | 0.268926i | ||||
\(490\) | 18.0783 | − | 11.6182i | 0.816693 | − | 0.524857i | ||||
\(491\) | −6.01261 | − | 13.1658i | −0.271345 | − | 0.594164i | 0.724079 | − | 0.689717i | \(-0.242265\pi\) |
−0.995424 | + | 0.0955536i | \(0.969538\pi\) | |||||||
\(492\) | −0.410253 | − | 0.473458i | −0.0184956 | − | 0.0213451i | ||||
\(493\) | −4.88637 | − | 3.14028i | −0.220071 | − | 0.141431i | ||||
\(494\) | 1.59666 | − | 11.1050i | 0.0718371 | − | 0.499638i | ||||
\(495\) | 0.491295 | − | 3.41703i | 0.0220821 | − | 0.153584i | ||||
\(496\) | 1.74858 | + | 1.12375i | 0.0785137 | + | 0.0504577i | ||||
\(497\) | −29.1104 | − | 33.5952i | −1.30578 | − | 1.50695i | ||||
\(498\) | 2.45869 | + | 5.38378i | 0.110177 | + | 0.241253i | ||||
\(499\) | −20.0757 | + | 12.9019i | −0.898711 | + | 0.577567i | −0.906408 | − | 0.422404i | \(-0.861186\pi\) |
0.00769643 | + | 0.999970i | \(0.497550\pi\) | |||||||
\(500\) | 0.598752 | + | 0.175809i | 0.0267770 | + | 0.00786243i | ||||
\(501\) | −5.33471 | + | 6.15658i | −0.238337 | + | 0.275056i | ||||
\(502\) | −1.59307 | + | 0.467767i | −0.0711021 | + | 0.0208775i | ||||
\(503\) | 12.5678 | − | 27.5196i | 0.560369 | − | 1.22704i | −0.391399 | − | 0.920221i | \(-0.628009\pi\) |
0.951769 | − | 0.306817i | \(-0.0992639\pi\) | |||||||
\(504\) | −3.06659 | − | 21.3286i | −0.136597 | − | 0.950051i | ||||
\(505\) | 9.09294 | 0.404631 | ||||||||
\(506\) | −2.71392 | + | 13.6928i | −0.120649 | + | 0.608721i | ||||
\(507\) | 8.54532 | 0.379511 | ||||||||
\(508\) | −1.70440 | − | 11.8543i | −0.0756204 | − | 0.525951i | ||||
\(509\) | −9.55340 | + | 20.9190i | −0.423447 | + | 0.927220i | 0.570898 | + | 0.821021i | \(0.306595\pi\) |
−0.994345 | + | 0.106199i | \(0.966132\pi\) | |||||||
\(510\) | 2.69485 | − | 0.791278i | 0.119330 | − | 0.0350384i | ||||
\(511\) | 17.6717 | − | 20.3942i | 0.781748 | − | 0.902185i | ||||
\(512\) | 21.6275 | + | 6.35040i | 0.955808 | + | 0.280651i | ||||
\(513\) | 17.9075 | − | 11.5084i | 0.790635 | − | 0.508110i | ||||
\(514\) | −5.84706 | − | 12.8033i | −0.257903 | − | 0.564728i | ||||
\(515\) | −10.6978 | − | 12.3459i | −0.471401 | − | 0.544026i | ||||
\(516\) | −6.51770 | − | 4.18867i | −0.286926 | − | 0.184396i | ||||
\(517\) | 1.31484 | − | 9.14493i | 0.0578267 | − | 0.402193i | ||||
\(518\) | −5.11651 | + | 35.5861i | −0.224807 | + | 1.56357i | ||||
\(519\) | −3.77660 | − | 2.42708i | −0.165775 | − | 0.106537i | ||||
\(520\) | −5.04435 | − | 5.82149i | −0.221209 | − | 0.255289i | ||||
\(521\) | −15.3836 | − | 33.6853i | −0.673966 | − | 1.47578i | −0.868912 | − | 0.494966i | \(-0.835181\pi\) |
0.194947 | − | 0.980814i | \(-0.437547\pi\) | |||||||
\(522\) | 4.22425 | − | 2.71476i | 0.184890 | − | 0.118822i | ||||
\(523\) | −22.0249 | − | 6.46708i | −0.963080 | − | 0.282786i | −0.237857 | − | 0.971300i | \(-0.576445\pi\) |
−0.725223 | + | 0.688514i | \(0.758263\pi\) | |||||||
\(524\) | 6.36375 | − | 7.34416i | 0.278002 | − | 0.320831i | ||||
\(525\) | 6.12379 | − | 1.79811i | 0.267264 | − | 0.0784758i | ||||
\(526\) | 9.85932 | − | 21.5889i | 0.429887 | − | 0.941321i | ||||
\(527\) | 0.236360 | + | 1.64392i | 0.0102960 | + | 0.0716103i | ||||
\(528\) | 7.43559 | 0.323593 | ||||||||
\(529\) | −21.2613 | − | 8.77259i | −0.924403 | − | 0.381417i | ||||
\(530\) | 16.4726 | 0.715524 | ||||||||
\(531\) | −2.25098 | − | 15.6559i | −0.0976841 | − | 0.679408i | ||||
\(532\) | −4.98533 | + | 10.9163i | −0.216141 | + | 0.473283i | ||||
\(533\) | 1.90054 | − | 0.558048i | 0.0823215 | − | 0.0241718i | ||||
\(534\) | 1.83898 | − | 2.12230i | 0.0795804 | − | 0.0918407i | ||||
\(535\) | −10.1032 | − | 2.96657i | −0.436800 | − | 0.128256i | ||||
\(536\) | 11.3791 | − | 7.31293i | 0.491504 | − | 0.315870i | ||||
\(537\) | 2.78987 | + | 6.10897i | 0.120392 | + | 0.263621i | ||||
\(538\) | 2.51466 | + | 2.90208i | 0.108415 | + | 0.125117i | ||||
\(539\) | 38.2423 | + | 24.5768i | 1.64721 | + | 1.05860i | ||||
\(540\) | 0.494639 | − | 3.44029i | 0.0212859 | − | 0.148046i | ||||
\(541\) | 1.10310 | − | 7.67222i | 0.0474259 | − | 0.329854i | −0.952271 | − | 0.305253i | \(-0.901259\pi\) |
0.999697 | − | 0.0246018i | \(-0.00783180\pi\) | |||||||
\(542\) | 26.1881 | + | 16.8301i | 1.12488 | + | 0.722914i | ||||
\(543\) | 8.77287 | + | 10.1244i | 0.376480 | + | 0.434481i | ||||
\(544\) | 2.65432 | + | 5.81216i | 0.113803 | + | 0.249194i | ||||
\(545\) | −1.78648 | + | 1.14810i | −0.0765246 | + | 0.0491794i | ||||
\(546\) | −17.9766 | − | 5.27841i | −0.769328 | − | 0.225895i | ||||
\(547\) | 15.5143 | − | 17.9044i | 0.663343 | − | 0.765539i | −0.319976 | − | 0.947426i | \(-0.603675\pi\) |
0.983319 | + | 0.181887i | \(0.0582204\pi\) | |||||||
\(548\) | 0.786999 | − | 0.231084i | 0.0336190 | − | 0.00987142i | ||||
\(549\) | −4.46188 | + | 9.77015i | −0.190428 | + | 0.416980i | ||||
\(550\) | −0.414235 | − | 2.88107i | −0.0176630 | − | 0.122849i | ||||
\(551\) | −11.7596 | −0.500976 | ||||||||
\(552\) | −3.64016 | + | 18.3661i | −0.154935 | + | 0.781712i | ||||
\(553\) | 66.0949 | 2.81064 | ||||||||
\(554\) | −2.29988 | − | 15.9960i | −0.0977124 | − | 0.679605i | ||||
\(555\) | −3.20934 | + | 7.02748i | −0.136229 | + | 0.298300i | ||||
\(556\) | 6.74764 | − | 1.98129i | 0.286164 | − | 0.0840252i | ||||
\(557\) | −5.38828 | + | 6.21841i | −0.228309 | + | 0.263482i | −0.858333 | − | 0.513093i | \(-0.828500\pi\) |
0.630024 | + | 0.776576i | \(0.283045\pi\) | |||||||
\(558\) | −1.37762 | − | 0.404505i | −0.0583193 | − | 0.0171241i | ||||
\(559\) | 20.6075 | − | 13.2437i | 0.871606 | − | 0.560147i | ||||
\(560\) | −4.93846 | − | 10.8137i | −0.208688 | − | 0.456963i | ||||
\(561\) | 3.89071 | + | 4.49012i | 0.164266 | + | 0.189573i | ||||
\(562\) | −10.9938 | − | 7.06530i | −0.463746 | − | 0.298032i | ||||
\(563\) | −3.99411 | + | 27.7796i | −0.168331 | + | 1.17077i | 0.714001 | + | 0.700145i | \(0.246881\pi\) |
−0.882333 | + | 0.470627i | \(0.844028\pi\) | |||||||
\(564\) | 0.419404 | − | 2.91702i | 0.0176601 | − | 0.122829i | ||||
\(565\) | 7.54999 | + | 4.85209i | 0.317631 | + | 0.204129i | ||||
\(566\) | 13.3382 | + | 15.3931i | 0.560648 | + | 0.647022i | ||||
\(567\) | −6.04264 | − | 13.2315i | −0.253767 | − | 0.555672i | ||||
\(568\) | −22.8754 | + | 14.7011i | −0.959829 | + | 0.616845i | ||||
\(569\) | −31.9563 | − | 9.38322i | −1.33968 | − | 0.393365i | −0.468124 | − | 0.883663i | \(-0.655070\pi\) |
−0.871555 | + | 0.490298i | \(0.836888\pi\) | |||||||
\(570\) | 3.72370 | − | 4.29738i | 0.155969 | − | 0.179997i | ||||
\(571\) | −13.8156 | + | 4.05664i | −0.578167 | + | 0.169765i | −0.557725 | − | 0.830026i | \(-0.688326\pi\) |
−0.0204420 | + | 0.999791i | \(0.506507\pi\) | |||||||
\(572\) | 1.60976 | − | 3.52489i | 0.0673076 | − | 0.147383i | ||||
\(573\) | −3.62264 | − | 25.1960i | −0.151338 | − | 1.05258i | ||||
\(574\) | 4.67184 | 0.194999 | ||||||||
\(575\) | 4.78913 | + | 0.253411i | 0.199721 | + | 0.0105680i | ||||
\(576\) | −12.0974 | −0.504059 | ||||||||
\(577\) | 2.15003 | + | 14.9538i | 0.0895070 | + | 0.622535i | 0.984359 | + | 0.176172i | \(0.0563716\pi\) |
−0.894852 | + | 0.446362i | \(0.852719\pi\) | |||||||
\(578\) | −6.54744 | + | 14.3369i | −0.272338 | + | 0.596336i | ||||
\(579\) | −2.75577 | + | 0.809168i | −0.114526 | + | 0.0336279i | ||||
\(580\) | −1.25740 | + | 1.45111i | −0.0522105 | + | 0.0602541i | ||||
\(581\) | 19.2063 | + | 5.63949i | 0.796813 | + | 0.233965i | ||||
\(582\) | −6.26279 | + | 4.02485i | −0.259601 | + | 0.166836i | ||||
\(583\) | 14.4754 | + | 31.6968i | 0.599512 | + | 1.31275i | ||||
\(584\) | −10.8098 | − | 12.4752i | −0.447314 | − | 0.516228i | ||||
\(585\) | 2.92894 | + | 1.88231i | 0.121097 | + | 0.0778241i | ||||
\(586\) | 3.96420 | − | 27.5716i | 0.163759 | − | 1.13897i | ||||
\(587\) | −2.40088 | + | 16.6985i | −0.0990949 | + | 0.689220i | 0.878348 | + | 0.478021i | \(0.158646\pi\) |
−0.977443 | + | 0.211199i | \(0.932263\pi\) | |||||||
\(588\) | 12.1984 | + | 7.83945i | 0.503054 | + | 0.323293i | ||||
\(589\) | 2.20194 | + | 2.54118i | 0.0907294 | + | 0.104707i | ||||
\(590\) | −5.53997 | − | 12.1308i | −0.228077 | − | 0.499419i | ||||
\(591\) | 16.8991 | − | 10.8604i | 0.695135 | − | 0.446736i | ||||
\(592\) | 13.8072 | + | 4.05417i | 0.567474 | + | 0.166625i | ||||
\(593\) | −0.149347 | + | 0.172356i | −0.00613295 | + | 0.00707780i | −0.758808 | − | 0.651315i | \(-0.774218\pi\) |
0.752675 | + | 0.658392i | \(0.228763\pi\) | |||||||
\(594\) | −15.5550 | + | 4.56737i | −0.638231 | + | 0.187402i | ||||
\(595\) | 3.94598 | − | 8.64050i | 0.161770 | − | 0.354226i | ||||
\(596\) | −0.470815 | − | 3.27459i | −0.0192854 | − | 0.134133i | ||||
\(597\) | 13.8130 | 0.565329 | ||||||||
\(598\) | −11.4247 | − | 8.22650i | −0.467192 | − | 0.336407i | ||||
\(599\) | 0.393182 | 0.0160650 | 0.00803249 | − | 0.999968i | \(-0.497443\pi\) | ||||
0.00803249 | + | 0.999968i | \(0.497443\pi\) | |||||||
\(600\) | −0.555610 | − | 3.86435i | −0.0226827 | − | 0.157761i | ||||
\(601\) | 2.82466 | − | 6.18515i | 0.115220 | − | 0.252298i | −0.843232 | − | 0.537550i | \(-0.819350\pi\) |
0.958453 | + | 0.285252i | \(0.0920773\pi\) | |||||||
\(602\) | 55.4363 | − | 16.2776i | 2.25942 | − | 0.663424i | ||||
\(603\) | −4.00367 | + | 4.62049i | −0.163042 | + | 0.188161i | ||||
\(604\) | 3.86352 | + | 1.13443i | 0.157204 | + | 0.0461593i | ||||
\(605\) | −4.07402 | + | 2.61821i | −0.165632 | + | 0.106445i | ||||
\(606\) | −5.62002 | − | 12.3061i | −0.228298 | − | 0.499902i | ||||
\(607\) | 3.65805 | + | 4.22162i | 0.148476 | + | 0.171350i | 0.825115 | − | 0.564964i | \(-0.191110\pi\) |
−0.676640 | + | 0.736314i | \(0.736565\pi\) | |||||||
\(608\) | 10.8826 | + | 6.99380i | 0.441347 | + | 0.283636i | ||||
\(609\) | −2.79477 | + | 19.4381i | −0.113250 | + | 0.787670i | ||||
\(610\) | −1.28881 | + | 8.96390i | −0.0521825 | + | 0.362938i | ||||
\(611\) | 7.83865 | + | 5.03760i | 0.317118 | + | 0.203799i | ||||
\(612\) | −1.07324 | − | 1.23858i | −0.0433830 | − | 0.0500667i | ||||
\(613\) | 0.0892811 | + | 0.195498i | 0.00360603 | + | 0.00789610i | 0.911426 | − | 0.411463i | \(-0.134982\pi\) |
−0.907820 | + | 0.419359i | \(0.862255\pi\) | |||||||
\(614\) | 0.528889 | − | 0.339896i | 0.0213442 | − | 0.0137171i | ||||
\(615\) | 0.963252 | + | 0.282836i | 0.0388421 | + | 0.0114051i | ||||
\(616\) | 25.1678 | − | 29.0452i | 1.01404 | − | 1.17027i | ||||
\(617\) | −26.6922 | + | 7.83755i | −1.07459 | + | 0.315528i | −0.770712 | − | 0.637184i | \(-0.780099\pi\) |
−0.303877 | + | 0.952711i | \(0.598281\pi\) | |||||||
\(618\) | −10.0967 | + | 22.1086i | −0.406148 | + | 0.889340i | ||||
\(619\) | 3.65056 | + | 25.3902i | 0.146729 | + | 1.02052i | 0.921528 | + | 0.388312i | \(0.126942\pi\) |
−0.774799 | + | 0.632207i | \(0.782149\pi\) | |||||||
\(620\) | 0.549019 | 0.0220491 | ||||||||
\(621\) | −2.39906 | − | 26.6035i | −0.0962708 | − | 1.06756i | ||||
\(622\) | 5.63090 | 0.225779 | ||||||||
\(623\) | −1.35163 | − | 9.40082i | −0.0541521 | − | 0.376636i | ||||
\(624\) | −3.11522 | + | 6.82138i | −0.124709 | + | 0.273074i | ||||
\(625\) | −0.959493 | + | 0.281733i | −0.0383797 | + | 0.0112693i | ||||
\(626\) | −0.228507 | + | 0.263711i | −0.00913299 | + | 0.0105400i | ||||
\(627\) | 11.5413 | + | 3.38883i | 0.460915 | + | 0.135337i | ||||
\(628\) | −9.38289 | + | 6.03002i | −0.374418 | + | 0.240624i | ||||
\(629\) | 4.77651 | + | 10.4591i | 0.190452 | + | 0.417032i | ||||
\(630\) | 5.37757 | + | 6.20604i | 0.214247 | + | 0.247255i | ||||
\(631\) | −32.0691 | − | 20.6096i | −1.27665 | − | 0.820454i | −0.286181 | − | 0.958176i | \(-0.592386\pi\) |
−0.990471 | + | 0.137722i | \(0.956022\pi\) | |||||||
\(632\) | 5.75386 | − | 40.0190i | 0.228876 | − | 1.59187i | ||||
\(633\) | 2.06962 | − | 14.3945i | 0.0822600 | − | 0.572131i | ||||
\(634\) | 1.77212 | + | 1.13887i | 0.0703797 | + | 0.0452303i | ||||
\(635\) | 12.5680 | + | 14.5042i | 0.498744 | + | 0.575581i | ||||
\(636\) | 4.61733 | + | 10.1106i | 0.183089 | + | 0.400909i | ||||
\(637\) | −38.5687 | + | 24.7866i | −1.52815 | + | 0.982081i | ||||
\(638\) | 8.59323 | + | 2.52320i | 0.340209 | + | 0.0998944i | ||||
\(639\) | 8.04854 | − | 9.28851i | 0.318395 | − | 0.367448i | ||||
\(640\) | −3.29142 | + | 0.966449i | −0.130105 | + | 0.0382022i | ||||
\(641\) | −17.1353 | + | 37.5212i | −0.676805 | + | 1.48200i | 0.189188 | + | 0.981941i | \(0.439414\pi\) |
−0.865993 | + | 0.500056i | \(0.833313\pi\) | |||||||
\(642\) | 2.22956 | + | 15.5069i | 0.0879936 | + | 0.612009i | ||||
\(643\) | 35.8755 | 1.41479 | 0.707396 | − | 0.706818i | \(-0.249870\pi\) | ||||
0.707396 | + | 0.706818i | \(0.249870\pi\) | |||||||
\(644\) | 9.24651 | + | 11.8861i | 0.364363 | + | 0.468380i | ||||
\(645\) | 12.4155 | 0.488858 | ||||||||
\(646\) | −1.20440 | − | 8.37678i | −0.0473865 | − | 0.329580i | ||||
\(647\) | 2.43195 | − | 5.32523i | 0.0956099 | − | 0.209357i | −0.855784 | − | 0.517333i | \(-0.826925\pi\) |
0.951394 | + | 0.307977i | \(0.0996520\pi\) | |||||||
\(648\) | −8.53744 | + | 2.50682i | −0.335382 | + | 0.0984771i | ||||
\(649\) | 18.4740 | − | 21.3202i | 0.725169 | − | 0.836889i | ||||
\(650\) | 2.81663 | + | 0.827036i | 0.110477 | + | 0.0324390i | ||||
\(651\) | 4.72376 | − | 3.03577i | 0.185139 | − | 0.118981i | ||||
\(652\) | −4.31410 | − | 9.44656i | −0.168953 | − | 0.369956i | ||||
\(653\) | −23.0984 | − | 26.6569i | −0.903909 | − | 1.04317i | −0.998862 | − | 0.0476849i | \(-0.984816\pi\) |
0.0949534 | − | 0.995482i | \(-0.469730\pi\) | |||||||
\(654\) | 2.65797 | + | 1.70817i | 0.103935 | + | 0.0667949i | ||||
\(655\) | −2.21620 | + | 15.4140i | −0.0865942 | + | 0.602276i | ||||
\(656\) | 0.266121 | − | 1.85091i | 0.0103903 | − | 0.0722660i | ||||
\(657\) | 6.27659 | + | 4.03372i | 0.244873 | + | 0.157370i | ||||
\(658\) | 14.3919 | + | 16.6091i | 0.561053 | + | 0.647490i | ||||
\(659\) | 2.06992 | + | 4.53248i | 0.0806325 | + | 0.176560i | 0.945654 | − | 0.325174i | \(-0.105423\pi\) |
−0.865022 | + | 0.501734i | \(0.832696\pi\) | |||||||
\(660\) | 1.65223 | − | 1.06182i | 0.0643129 | − | 0.0413314i | ||||
\(661\) | −13.1924 | − | 3.87364i | −0.513125 | − | 0.150667i | 0.0149114 | − | 0.999889i | \(-0.495253\pi\) |
−0.528036 | + | 0.849222i | \(0.677072\pi\) | |||||||
\(662\) | −2.81102 | + | 3.24409i | −0.109253 | + | 0.126085i | ||||
\(663\) | −5.74927 | + | 1.68814i | −0.223283 | + | 0.0655618i | ||||
\(664\) | 5.08659 | − | 11.1381i | 0.197398 | − | 0.432241i | ||||
\(665\) | −2.73688 | − | 19.0355i | −0.106132 | − | 0.738163i | ||||
\(666\) | −9.94014 | −0.385173 | ||||||||
\(667\) | −6.83075 | + | 13.0803i | −0.264488 | + | 0.506470i | ||||
\(668\) | 4.00793 | 0.155072 | ||||||||
\(669\) | −2.05399 | − | 14.2858i | −0.0794120 | − | 0.552323i | ||||
\(670\) | −2.14139 | + | 4.68899i | −0.0827292 | + | 0.181152i | ||||
\(671\) | −18.3810 | + | 5.39715i | −0.709590 | + | 0.208355i | ||||
\(672\) | 14.1468 | − | 16.3262i | 0.545723 | − | 0.629798i | ||||
\(673\) | −28.1835 | − | 8.27542i | −1.08639 | − | 0.318994i | −0.310960 | − | 0.950423i | \(-0.600651\pi\) |
−0.775434 | + | 0.631429i | \(0.782469\pi\) | |||||||
\(674\) | −18.3895 | + | 11.8182i | −0.708336 | + | 0.455220i | ||||
\(675\) | 2.31374 | + | 5.06639i | 0.0890560 | + | 0.195005i | ||||
\(676\) | −2.75319 | − | 3.17735i | −0.105892 | − | 0.122206i | ||||
\(677\) | −10.2360 | − | 6.57826i | −0.393400 | − | 0.252823i | 0.328954 | − | 0.944346i | \(-0.393304\pi\) |
−0.722355 | + | 0.691523i | \(0.756940\pi\) | |||||||
\(678\) | 1.90029 | − | 13.2168i | 0.0729803 | − | 0.507589i | ||||
\(679\) | −3.58321 | + | 24.9218i | −0.137511 | + | 0.956410i | ||||
\(680\) | −4.88812 | − | 3.14140i | −0.187451 | − | 0.120467i | ||||
\(681\) | 7.11595 | + | 8.21225i | 0.272684 | + | 0.314694i | ||||
\(682\) | −1.06380 | − | 2.32940i | −0.0407351 | − | 0.0891975i | ||||
\(683\) | −6.34542 | + | 4.07795i | −0.242801 | + | 0.156039i | −0.656382 | − | 0.754429i | \(-0.727914\pi\) |
0.413581 | + | 0.910467i | \(0.364278\pi\) | |||||||
\(684\) | −3.18362 | − | 0.934796i | −0.121729 | − | 0.0357428i | ||||
\(685\) | −0.860749 | + | 0.993358i | −0.0328875 | + | 0.0379542i | ||||
\(686\) | −64.1098 | + | 18.8243i | −2.44772 | + | 0.718716i | ||||
\(687\) | −13.6485 | + | 29.8861i | −0.520723 | + | 1.14022i | ||||
\(688\) | −3.29112 | − | 22.8902i | −0.125473 | − | 0.872682i | ||||
\(689\) | −35.1432 | −1.33885 | ||||||||
\(690\) | −2.61703 | − | 6.63809i | −0.0996286 | − | 0.252708i | ||||
\(691\) | −32.3179 | −1.22943 | −0.614715 | − | 0.788749i | \(-0.710729\pi\) | ||||
−0.614715 | + | 0.788749i | \(0.710729\pi\) | |||||||
\(692\) | 0.314328 | + | 2.18620i | 0.0119490 | + | 0.0831069i | ||||
\(693\) | −7.21616 | + | 15.8012i | −0.274119 | + | 0.600238i | ||||
\(694\) | 5.65719 | − | 1.66110i | 0.214744 | − | 0.0630545i | ||||
\(695\) | −7.37996 | + | 8.51693i | −0.279938 | + | 0.323066i | ||||
\(696\) | 11.5260 | + | 3.38435i | 0.436893 | + | 0.128283i | ||||
\(697\) | 1.25696 | − | 0.807797i | 0.0476106 | − | 0.0305975i | ||||
\(698\) | −15.8834 | − | 34.7797i | −0.601194 | − | 1.31643i | ||||
\(699\) | −14.7094 | − | 16.9756i | −0.556362 | − | 0.642076i | ||||
\(700\) | −2.64158 | − | 1.69764i | −0.0998423 | − | 0.0641648i | ||||
\(701\) | −0.760429 | + | 5.28890i | −0.0287210 | + | 0.199759i | −0.999130 | − | 0.0417089i | \(-0.986720\pi\) |
0.970409 | + | 0.241468i | \(0.0776289\pi\) | |||||||
\(702\) | 2.32686 | − | 16.1837i | 0.0878218 | − | 0.610814i | ||||
\(703\) | 19.5834 | + | 12.5855i | 0.738604 | + | 0.474672i | ||||
\(704\) | −14.1297 | − | 16.3066i | −0.532534 | − | 0.614577i | ||||
\(705\) | 1.96182 | + | 4.29580i | 0.0738866 | + | 0.161789i | ||||
\(706\) | 12.2328 | − | 7.86151i | 0.460386 | − | 0.295872i | ||||
\(707\) | −43.9014 | − | 12.8906i | −1.65108 | − | 0.484801i | ||||
\(708\) | 5.89279 | − | 6.80064i | 0.221465 | − | 0.255584i | ||||
\(709\) | −11.2300 | + | 3.29741i | −0.421750 | + | 0.123837i | −0.485719 | − | 0.874115i | \(-0.661442\pi\) |
0.0639692 | + | 0.997952i | \(0.479624\pi\) | |||||||
\(710\) | 4.30482 | − | 9.42623i | 0.161557 | − | 0.353760i | ||||
\(711\) | 2.60068 | + | 18.0881i | 0.0975330 | + | 0.678357i | ||||
\(712\) | −5.80966 | −0.217726 | ||||||||
\(713\) | 4.10560 | − | 0.973150i | 0.153756 | − | 0.0364448i | ||||
\(714\) | −14.1327 | −0.528902 | ||||||||
\(715\) | 0.883741 | + | 6.14656i | 0.0330501 | + | 0.229868i | ||||
\(716\) | 1.37260 | − | 3.00557i | 0.0512963 | − | 0.112323i | ||||
\(717\) | −14.7221 | + | 4.32279i | −0.549805 | + | 0.161437i | ||||
\(718\) | 11.4685 | − | 13.2353i | 0.428000 | − | 0.493938i | ||||
\(719\) | 6.27007 | + | 1.84106i | 0.233834 | + | 0.0686599i | 0.396550 | − | 0.918013i | \(-0.370207\pi\) |
−0.162716 | + | 0.986673i | \(0.552025\pi\) | |||||||
\(720\) | 2.76506 | − | 1.77700i | 0.103048 | − | 0.0662247i | ||||
\(721\) | 34.1475 | + | 74.7727i | 1.27172 | + | 2.78468i | ||||
\(722\) | 3.37485 | + | 3.89478i | 0.125599 | + | 0.144949i | ||||
\(723\) | 15.8129 | + | 10.1623i | 0.588088 | + | 0.377941i | ||||
\(724\) | 0.937997 | − | 6.52391i | 0.0348604 | − | 0.242459i | ||||
\(725\) | 0.437893 | − | 3.04561i | 0.0162629 | − | 0.113111i | ||||
\(726\) | 6.06141 | + | 3.89543i | 0.224960 | + | 0.144573i | ||||
\(727\) | 2.72621 | + | 3.14622i | 0.101110 | + | 0.116687i | 0.804049 | − | 0.594563i | \(-0.202675\pi\) |
−0.702939 | + | 0.711250i | \(0.748129\pi\) | |||||||
\(728\) | 16.1016 | + | 35.2577i | 0.596767 | + | 1.30674i | ||||
\(729\) | 21.2123 | − | 13.6323i | 0.785641 | − | 0.504901i | ||||
\(730\) | 6.03591 | + | 1.77230i | 0.223399 | + | 0.0655959i | ||||
\(731\) | 12.1006 | − | 13.9648i | 0.447556 | − | 0.516508i | ||||
\(732\) | −5.86312 | + | 1.72157i | −0.216707 | + | 0.0636309i | ||||
\(733\) | 12.0738 | − | 26.4379i | 0.445956 | − | 0.976506i | −0.544511 | − | 0.838754i | \(-0.683285\pi\) |
0.990467 | − | 0.137753i | \(-0.0439880\pi\) | |||||||
\(734\) | −0.150608 | − | 1.04750i | −0.00555904 | − | 0.0386640i | ||||
\(735\) | −23.2366 | −0.857093 | ||||||||
\(736\) | 14.1006 | − | 8.04229i | 0.519754 | − | 0.296443i | ||||
\(737\) | −10.9044 | −0.401668 | ||||||||
\(738\) | 0.183826 | + | 1.27854i | 0.00676673 | + | 0.0470636i | ||||
\(739\) | 16.6264 | − | 36.4068i | 0.611613 | − | 1.33924i | −0.309853 | − | 0.950784i | \(-0.600280\pi\) |
0.921466 | − | 0.388460i | \(-0.126993\pi\) | |||||||
\(740\) | 3.64699 | − | 1.07085i | 0.134066 | − | 0.0393653i | ||||
\(741\) | −7.94425 | + | 9.16815i | −0.291839 | + | 0.336801i | ||||
\(742\) | −79.5309 | − | 23.3524i | −2.91967 | − | 0.857293i | ||||
\(743\) | 9.74446 | − | 6.26238i | 0.357489 | − | 0.229745i | −0.349551 | − | 0.936917i | \(-0.613666\pi\) |
0.707041 | + | 0.707173i | \(0.250030\pi\) | |||||||
\(744\) | −1.42687 | − | 3.12441i | −0.0523116 | − | 0.114546i | ||||
\(745\) | 3.47172 | + | 4.00658i | 0.127194 | + | 0.146790i | ||||
\(746\) | 20.1871 | + | 12.9734i | 0.739101 | + | 0.474991i | ||||
\(747\) | −0.787628 | + | 5.47808i | −0.0288178 | + | 0.200432i | ||||
\(748\) | 0.415995 | − | 2.89331i | 0.0152103 | − | 0.105790i | ||||
\(749\) | 44.5735 | + | 28.6456i | 1.62868 | + | 1.04669i | ||||
\(750\) | 0.974316 | + | 1.12442i | 0.0355770 | + | 0.0410580i | ||||
\(751\) | 5.88895 | + | 12.8950i | 0.214891 | + | 0.470546i | 0.986125 | − | 0.166006i | \(-0.0530873\pi\) |
−0.771234 | + | 0.636552i | \(0.780360\pi\) | |||||||
\(752\) | 7.40006 | − | 4.75573i | 0.269853 | − | 0.173424i | ||||
\(753\) | 1.72257 | + | 0.505791i | 0.0627739 | + | 0.0184321i | ||||
\(754\) | −5.91500 | + | 6.82627i | −0.215411 | + | 0.248598i | ||||
\(755\) | −6.19124 | + | 1.81791i | −0.225322 | + | 0.0661606i | ||||
\(756\) | −7.26527 | + | 15.9087i | −0.264235 | + | 0.578595i | ||||
\(757\) | 0.822042 | + | 5.71743i | 0.0298776 | + | 0.207803i | 0.999292 | − | 0.0376269i | \(-0.0119798\pi\) |
−0.969414 | + | 0.245430i | \(0.921071\pi\) | |||||||
\(758\) | −8.30559 | −0.301673 | ||||||||
\(759\) | 10.4734 | − | 10.8690i | 0.380159 | − | 0.394520i | ||||
\(760\) | −11.7638 | −0.426718 | ||||||||
\(761\) | 2.26977 | + | 15.7866i | 0.0822790 | + | 0.572263i | 0.988702 | + | 0.149893i | \(0.0478928\pi\) |
−0.906423 | + | 0.422371i | \(0.861198\pi\) | |||||||
\(762\) | 11.8617 | − | 25.9736i | 0.429706 | − | 0.940924i | ||||
\(763\) | 10.2529 | − | 3.01052i | 0.371179 | − | 0.108988i | ||||
\(764\) | −8.20130 | + | 9.46481i | −0.296713 | + | 0.342425i | ||||
\(765\) | 2.51990 | + | 0.739910i | 0.0911072 | + | 0.0267515i | ||||
\(766\) | −15.8736 | + | 10.2013i | −0.573536 | + | 0.368589i | ||||
\(767\) | 11.8191 | + | 25.8803i | 0.426764 | + | 0.934483i | ||||
\(768\) | −11.1027 | − | 12.8132i | −0.400636 | − | 0.462358i | ||||
\(769\) | 3.27695 | + | 2.10597i | 0.118170 | + | 0.0759431i | 0.598391 | − | 0.801205i | \(-0.295807\pi\) |
−0.480221 | + | 0.877148i | \(0.659443\pi\) | |||||||
\(770\) | −2.08439 | + | 14.4972i | −0.0751161 | + | 0.522444i | ||||
\(771\) | −2.16594 | + | 15.0645i | −0.0780045 | + | 0.542533i | ||||
\(772\) | 1.18874 | + | 0.763957i | 0.0427837 | + | 0.0274954i | ||||
\(773\) | 12.4133 | + | 14.3257i | 0.446476 | + | 0.515261i | 0.933720 | − | 0.358005i | \(-0.116543\pi\) |
−0.487243 | + | 0.873266i | \(0.661998\pi\) | |||||||
\(774\) | 6.63595 | + | 14.5307i | 0.238524 | + | 0.522296i | ||||
\(775\) | −0.740132 | + | 0.475654i | −0.0265863 | + | 0.0170860i | ||||
\(776\) | 14.7776 | + | 4.33911i | 0.530487 | + | 0.155765i | ||||
\(777\) | 25.4574 | − | 29.3795i | 0.913281 | − | 1.05398i | ||||
\(778\) | 23.6789 | − | 6.95275i | 0.848929 | − | 0.249268i | ||||
\(779\) | 1.25663 | − | 2.75164i | 0.0450236 | − | 0.0985878i | ||||
\(780\) | 0.281893 | + | 1.96061i | 0.0100934 | + | 0.0702011i | ||||
\(781\) | 21.9210 | 0.784394 | ||||||||
\(782\) | −10.0171 | − | 3.52613i | −0.358212 | − | 0.126094i | ||||
\(783\) | −17.1376 | −0.612449 | ||||||||
\(784\) | 6.15960 | + | 42.8410i | 0.219986 | + | 1.53003i | ||||
\(785\) | 7.42484 | − | 16.2581i | 0.265004 | − | 0.580277i | ||||
\(786\) | 22.2306 | − | 6.52750i | 0.792940 | − | 0.232828i | ||||
\(787\) | 11.4138 | − | 13.1723i | 0.406859 | − | 0.469540i | −0.514930 | − | 0.857232i | \(-0.672182\pi\) |
0.921789 | + | 0.387692i | \(0.126728\pi\) | |||||||
\(788\) | −9.48279 | − | 2.78440i | −0.337810 | − | 0.0991901i | ||||
\(789\) | −21.5890 | + | 13.8744i | −0.768590 | + | 0.493943i | ||||
\(790\) | 6.40063 | + | 14.0154i | 0.227724 | + | 0.498647i | ||||
\(791\) | −29.5733 | − | 34.1294i | −1.05151 | − | 1.21350i | ||||
\(792\) | 8.93907 | + | 5.74479i | 0.317636 | + | 0.204132i | ||||
\(793\) | 2.74959 | − | 19.1238i | 0.0976409 | − | 0.679108i | ||||
\(794\) | 2.80227 | − | 19.4902i | 0.0994488 | − | 0.691682i | ||||
\(795\) | −14.9841 | − | 9.62971i | −0.531432 | − | 0.341530i | ||||
\(796\) | −4.45037 | − | 5.13600i | −0.157739 | − | 0.182041i | ||||
\(797\) | 14.9340 | + | 32.7009i | 0.528990 | + | 1.15833i | 0.965922 | + | 0.258832i | \(0.0833376\pi\) |
−0.436932 | + | 0.899494i | \(0.643935\pi\) | |||||||
\(798\) | −24.0704 | + | 15.4691i | −0.852085 | + | 0.547602i | ||||
\(799\) | 6.74395 | + | 1.98020i | 0.238584 | + | 0.0700546i | ||||
\(800\) | −2.21656 | + | 2.55804i | −0.0783672 | + | 0.0904405i | ||||
\(801\) | 2.51953 | − | 0.739800i | 0.0890232 | − | 0.0261396i | ||||
\(802\) | 5.89758 | − | 12.9139i | 0.208251 | − | 0.456006i | ||||
\(803\) | 1.89382 | + | 13.1718i | 0.0668315 | + | 0.464823i | ||||
\(804\) | −3.47825 | −0.122668 | ||||||||
\(805\) | −22.7630 | − | 8.01280i | −0.802291 | − | 0.282414i | ||||
\(806\) | 2.58268 | 0.0909709 | ||||||||
\(807\) | −0.590912 | − | 4.10988i | −0.0208011 | − | 0.144675i | ||||
\(808\) | −11.6268 | + | 25.4591i | −0.409029 | + | 0.895649i | ||||
\(809\) | 1.71458 | − | 0.503445i | 0.0602813 | − | 0.0177002i | −0.251453 | − | 0.967870i | \(-0.580908\pi\) |
0.311734 | + | 0.950169i | \(0.399090\pi\) | |||||||
\(810\) | 2.22058 | − | 2.56268i | 0.0780232 | − | 0.0900435i | ||||
\(811\) | −10.7355 | − | 3.15223i | −0.376975 | − | 0.110690i | 0.0877557 | − | 0.996142i | \(-0.472031\pi\) |
−0.464730 | + | 0.885452i | \(0.653849\pi\) | |||||||
\(812\) | 8.12796 | − | 5.22352i | 0.285236 | − | 0.183310i | ||||
\(813\) | −13.9830 | − | 30.6186i | −0.490406 | − | 1.07384i | ||||
\(814\) | −11.6100 | − | 13.3987i | −0.406931 | − | 0.469624i | ||||
\(815\) | 14.0001 | + | 8.99730i | 0.490401 | + | 0.315162i | ||||
\(816\) | −0.805035 | + | 5.59914i | −0.0281819 | + | 0.196009i | ||||
\(817\) | 5.32404 | − | 37.0295i | 0.186264 | − | 1.29550i | ||||
\(818\) | −14.2882 | − | 9.18250i | −0.499577 | − | 0.321059i | ||||
\(819\) | −11.4727 | − | 13.2402i | −0.400887 | − | 0.462648i | ||||
\(820\) | −0.205182 | − | 0.449286i | −0.00716526 | − | 0.0156897i | ||||
\(821\) | 27.5893 | − | 17.7305i | 0.962872 | − | 0.618800i | 0.0380802 | − | 0.999275i | \(-0.487876\pi\) |
0.924791 | + | 0.380475i | \(0.124239\pi\) | |||||||
\(822\) | 1.87638 | + | 0.550954i | 0.0654462 | + | 0.0192167i | ||||
\(823\) | 8.24651 | − | 9.51698i | 0.287455 | − | 0.331741i | −0.593595 | − | 0.804764i | \(-0.702292\pi\) |
0.881050 | + | 0.473023i | \(0.156837\pi\) | |||||||
\(824\) | 48.2459 | − | 14.1663i | 1.68073 | − | 0.493506i | ||||
\(825\) | −1.30744 | + | 2.86289i | −0.0455191 | + | 0.0996729i | ||||
\(826\) | 9.55008 | + | 66.4223i | 0.332290 | + | 2.31113i | ||||
\(827\) | −9.82943 | −0.341803 | −0.170901 | − | 0.985288i | \(-0.554668\pi\) | ||||
−0.170901 | + | 0.985288i | \(0.554668\pi\) | |||||||
\(828\) | −2.88904 | + | 2.99817i | −0.100401 | + | 0.104194i | ||||
\(829\) | 23.3956 | 0.812561 | 0.406281 | − | 0.913748i | \(-0.366826\pi\) | ||||
0.406281 | + | 0.913748i | \(0.366826\pi\) | |||||||
\(830\) | 0.664088 | + | 4.61883i | 0.0230508 | + | 0.160322i | ||||
\(831\) | −7.25903 | + | 15.8951i | −0.251813 | + | 0.551393i | ||||
\(832\) | 20.8794 | − | 6.13074i | 0.723862 | − | 0.212545i | ||||
\(833\) | −22.6473 | + | 26.1363i | −0.784681 | + | 0.905570i | ||||
\(834\) | 16.0878 | + | 4.72382i | 0.557077 | + | 0.163572i | ||||
\(835\) | −5.40309 | + | 3.47236i | −0.186982 | + | 0.120166i | ||||
\(836\) | −2.45841 | − | 5.38316i | −0.0850258 | − | 0.186180i | ||||
\(837\) | 3.20896 | + | 3.70334i | 0.110918 | + | 0.128006i | ||||
\(838\) | −24.2014 | − | 15.5533i | −0.836025 | − | 0.537280i | ||||
\(839\) | 6.39946 | − | 44.5092i | 0.220934 | − | 1.53663i | −0.513584 | − | 0.858039i | \(-0.671683\pi\) |
0.734518 | − | 0.678589i | \(-0.237408\pi\) | |||||||
\(840\) | −2.79577 | + | 19.4450i | −0.0964633 | + | 0.670917i | ||||
\(841\) | −16.4318 | − | 10.5601i | −0.566613 | − | 0.364140i | ||||
\(842\) | 10.4869 | + | 12.1025i | 0.361403 | + | 0.417081i | ||||
\(843\) | 5.87010 | + | 12.8537i | 0.202177 | + | 0.442706i | ||||
\(844\) | −6.01902 | + | 3.86819i | −0.207183 | + | 0.133149i | ||||
\(845\) | 6.46433 | + | 1.89810i | 0.222380 | + | 0.0652966i | ||||
\(846\) | −3.97910 | + | 4.59213i | −0.136804 | + | 0.157881i | ||||
\(847\) | 23.3813 | − | 6.86538i | 0.803392 | − | 0.235897i | ||||
\(848\) | −13.7822 | + | 30.1787i | −0.473281 | + | 1.03634i | ||||
\(849\) | −3.13430 | − | 21.7996i | −0.107569 | − | 0.748159i | ||||
\(850\) | 2.21435 | 0.0759515 | ||||||||
\(851\) | 25.3743 | − | 14.4723i | 0.869820 | − | 0.496104i | ||||
\(852\) | 6.99229 | 0.239552 | ||||||||
\(853\) | −1.80577 | − | 12.5594i | −0.0618284 | − | 0.430026i | −0.997100 | − | 0.0760963i | \(-0.975754\pi\) |
0.935272 | − | 0.353930i | \(-0.115155\pi\) | |||||||
\(854\) | 18.9301 | − | 41.4512i | 0.647776 | − | 1.41843i | ||||
\(855\) | 5.10172 | − | 1.49800i | 0.174475 | − | 0.0512305i | ||||
\(856\) | 21.2246 | − | 24.4945i | 0.725442 | − | 0.837205i | ||||
\(857\) | 38.7717 | + | 11.3844i | 1.32442 | + | 0.388884i | 0.866085 | − | 0.499897i | \(-0.166629\pi\) |
0.458332 | + | 0.888781i | \(0.348447\pi\) | |||||||
\(858\) | 7.77236 | − | 4.99499i | 0.265344 | − | 0.170526i | ||||
\(859\) | 7.10082 | + | 15.5486i | 0.242277 | + | 0.530512i | 0.991236 | − | 0.132104i | \(-0.0421733\pi\) |
−0.748959 | + | 0.662616i | \(0.769446\pi\) | |||||||
\(860\) | −4.00009 | − | 4.61635i | −0.136402 | − | 0.157416i | ||||
\(861\) | −4.24969 | − | 2.73111i | −0.144829 | − | 0.0930759i | ||||
\(862\) | 0.0171073 | − | 0.118984i | 0.000582677 | − | 0.00405260i | ||||
\(863\) | −7.61977 | + | 52.9967i | −0.259380 | + | 1.80403i | 0.277885 | + | 0.960614i | \(0.410367\pi\) |
−0.537265 | + | 0.843414i | \(0.680542\pi\) | |||||||
\(864\) | 15.8595 | + | 10.1923i | 0.539552 | + | 0.346749i | ||||
\(865\) | −2.31781 | − | 2.67489i | −0.0788078 | − | 0.0909490i | ||||
\(866\) | −3.45051 | − | 7.55556i | −0.117253 | − | 0.256748i | ||||
\(867\) | 14.3370 | − | 9.21382i | 0.486910 | − | 0.312918i | ||||
\(868\) | −2.65070 | − | 0.778316i | −0.0899707 | − | 0.0264178i | ||||
\(869\) | −21.3441 | + | 24.6324i | −0.724047 | + | 0.835595i | ||||
\(870\) | −4.39249 | + | 1.28975i | −0.148919 | + | 0.0437267i | ||||
\(871\) | 4.56851 | − | 10.0036i | 0.154798 | − | 0.338960i | ||||
\(872\) | −0.930242 | − | 6.46997i | −0.0315020 | − | 0.219101i | ||||
\(873\) | −6.96130 | −0.235604 | ||||||||
\(874\) | −20.9206 | + | 4.95880i | −0.707649 | + | 0.167734i | ||||
\(875\) | 5.03190 | 0.170109 | ||||||||
\(876\) | 0.604085 | + | 4.20150i | 0.0204101 | + | 0.141956i | ||||
\(877\) | 18.4608 | − | 40.4236i | 0.623378 | − | 1.36501i | −0.289659 | − | 0.957130i | \(-0.593542\pi\) |
0.913037 | − | 0.407877i | \(-0.133731\pi\) | |||||||
\(878\) | 40.6626 | − | 11.9396i | 1.37230 | − | 0.402943i | ||||
\(879\) | −19.7240 | + | 22.7627i | −0.665275 | + | 0.767768i | ||||
\(880\) | 5.62485 | + | 1.65160i | 0.189614 | + | 0.0556756i | ||||
\(881\) | 1.16897 | − | 0.751255i | 0.0393838 | − | 0.0253104i | −0.520801 | − | 0.853678i | \(-0.674367\pi\) |
0.560185 | + | 0.828368i | \(0.310730\pi\) | |||||||
\(882\) | −12.4197 | − | 27.1954i | −0.418194 | − | 0.915718i | ||||
\(883\) | −26.0811 | − | 30.0991i | −0.877697 | − | 1.01292i | −0.999792 | − | 0.0203982i | \(-0.993507\pi\) |
0.122095 | − | 0.992518i | \(-0.461039\pi\) | |||||||
\(884\) | 2.48003 | + | 1.59382i | 0.0834123 | + | 0.0536058i | ||||
\(885\) | −2.05219 | + | 14.2733i | −0.0689835 | + | 0.479791i | ||||
\(886\) | 5.55471 | − | 38.6339i | 0.186614 | − | 1.29793i | ||||
\(887\) | −23.7717 | − | 15.2771i | −0.798176 | − | 0.512956i | 0.0768443 | − | 0.997043i | \(-0.475516\pi\) |
−0.875020 | + | 0.484087i | \(0.839152\pi\) | |||||||
\(888\) | −15.5724 | − | 17.9715i | −0.522576 | − | 0.603085i | ||||
\(889\) | −40.1171 | − | 87.8442i | −1.34548 | − | 2.94620i | ||||
\(890\) | 1.86255 | − | 1.19699i | 0.0624329 | − | 0.0401232i | ||||
\(891\) | 6.88250 | + | 2.02088i | 0.230572 | + | 0.0677022i | ||||
\(892\) | −4.65004 | + | 5.36643i | −0.155695 | + | 0.179681i | ||||
\(893\) | 13.6536 | − | 4.00906i | 0.456901 | − | 0.134158i | ||||
\(894\) | 3.27664 | − | 7.17484i | 0.109587 | − | 0.239963i | ||||
\(895\) | 0.753539 | + | 5.24098i | 0.0251880 | + | 0.175187i | ||||
\(896\) | 17.2613 | 0.576660 | ||||||||
\(897\) | 5.58325 | + | 14.1619i | 0.186419 | + | 0.472852i | ||||
\(898\) | 12.8629 | 0.429239 | ||||||||
\(899\) | −0.385257 | − | 2.67952i | −0.0128490 | − | 0.0893670i | ||||
\(900\) | 0.360651 | − | 0.789716i | 0.0120217 | − | 0.0263239i | ||||
\(901\) | −25.4355 | + | 7.46855i | −0.847381 | + | 0.248813i | ||||
\(902\) | −1.50868 | + | 1.74111i | −0.0502336 | + | 0.0579726i | ||||
\(903\) | −59.9427 | − | 17.6008i | −1.99477 | − | 0.585717i | ||||
\(904\) | −23.2391 | + | 14.9349i | −0.772922 | + | 0.496727i | ||||
\(905\) | 4.38761 | + | 9.60753i | 0.145849 | + | 0.319365i | ||||
\(906\) | 6.28689 | + | 7.25546i | 0.208868 | + | 0.241047i | ||||
\(907\) | −18.8356 | − | 12.1049i | −0.625424 | − | 0.401936i | 0.189189 | − | 0.981941i | \(-0.439414\pi\) |
−0.814613 | + | 0.580005i | \(0.803051\pi\) | |||||||
\(908\) | 0.760839 | − | 5.29175i | 0.0252493 | − | 0.175613i | ||||
\(909\) | 1.80034 | − | 12.5217i | 0.0597136 | − | 0.415317i | ||||
\(910\) | −12.4264 | − | 7.98598i | −0.411932 | − | 0.264733i | ||||
\(911\) | 36.4413 | + | 42.0555i | 1.20735 | + | 1.39336i | 0.896583 | + | 0.442876i | \(0.146042\pi\) |
0.310771 | + | 0.950485i | \(0.399413\pi\) | |||||||
\(912\) | 4.75752 | + | 10.4175i | 0.157537 | + | 0.344958i | ||||
\(913\) | −8.30405 | + | 5.33669i | −0.274824 | + | 0.176619i | ||||
\(914\) | −1.04989 | − | 0.308275i | −0.0347272 | − | 0.0101968i | ||||
\(915\) | 6.41255 | − | 7.40047i | 0.211992 | − | 0.244652i | ||||
\(916\) | 15.5097 | − | 4.55406i | 0.512455 | − | 0.150470i | ||||
\(917\) | 32.5517 | − | 71.2782i | 1.07495 | − | 2.35381i | ||||
\(918\) | −1.75521 | − | 12.2078i | −0.0579306 | − | 0.402916i | ||||
\(919\) | −36.7437 | −1.21206 | −0.606032 | − | 0.795440i | \(-0.707240\pi\) | ||||
−0.606032 | + | 0.795440i | \(0.707240\pi\) | |||||||
\(920\) | −6.83320 | + | 13.0850i | −0.225284 | + | 0.431398i | ||||
\(921\) | −0.679797 | −0.0224001 | ||||||||
\(922\) | 5.87027 | + | 40.8286i | 0.193327 | + | 1.34462i | ||||
\(923\) | −9.18403 | + | 20.1102i | −0.302296 | + | 0.661936i | ||||
\(924\) | −9.48237 | + | 2.78427i | −0.311947 | + | 0.0915959i | ||||
\(925\) | −3.98875 | + | 4.60326i | −0.131149 | + | 0.151354i | ||||
\(926\) | −10.9668 | − | 3.22016i | −0.360393 | − | 0.105821i | ||||
\(927\) | −19.1193 | + | 12.2872i | −0.627961 | + | 0.403566i | ||||
\(928\) | −4.32644 | − | 9.47357i | −0.142022 | − | 0.310985i | ||||
\(929\) | 20.2373 | + | 23.3551i | 0.663966 | + | 0.766257i | 0.983420 | − | 0.181344i | \(-0.0580449\pi\) |
−0.319454 | + | 0.947602i | \(0.603499\pi\) | |||||||
\(930\) | 1.10118 | + | 0.707689i | 0.0361093 | + | 0.0232060i | ||||
\(931\) | −9.96437 | + | 69.3037i | −0.326569 | + | 2.27134i | ||||
\(932\) | −1.57274 | + | 10.9386i | −0.0515167 | + | 0.358306i | ||||
\(933\) | −5.12208 | − | 3.29176i | −0.167689 | − | 0.107767i | ||||
\(934\) | 11.2044 | + | 12.9305i | 0.366618 | + | 0.423100i | ||||
\(935\) | 1.94588 | + | 4.26088i | 0.0636370 | + | 0.139346i | ||||
\(936\) | −9.01537 | + | 5.79383i | −0.294677 | + | 0.189377i | ||||
\(937\) | −18.7405 | − | 5.50271i | −0.612225 | − | 0.179766i | −0.0391027 | − | 0.999235i | \(-0.512450\pi\) |
−0.573123 | + | 0.819470i | \(0.694268\pi\) | |||||||
\(938\) | 16.9861 | − | 19.6030i | 0.554617 | − | 0.640062i | ||||
\(939\) | 0.362022 | − | 0.106299i | 0.0118141 | − | 0.00346894i | ||||
\(940\) | 0.965203 | − | 2.11350i | 0.0314814 | − | 0.0689348i | ||||
\(941\) | −0.108021 | − | 0.751302i | −0.00352138 | − | 0.0244917i | 0.987985 | − | 0.154550i | \(-0.0493927\pi\) |
−0.991506 | + | 0.130058i | \(0.958484\pi\) | |||||||
\(942\) | −26.5923 | −0.866423 | ||||||||
\(943\) | −2.33073 | − | 2.99610i | −0.0758991 | − | 0.0975664i | ||||
\(944\) | 26.8595 | 0.874202 | ||||||||
\(945\) | −3.98855 | − | 27.7410i | −0.129748 | − | 0.902414i | ||||
\(946\) | −11.8357 | + | 25.9166i | −0.384813 | + | 0.842622i | ||||
\(947\) | 13.5821 | − | 3.98806i | 0.441358 | − | 0.129595i | −0.0535005 | − | 0.998568i | \(-0.517038\pi\) |
0.494859 | + | 0.868973i | \(0.335220\pi\) | |||||||
\(948\) | −6.80826 | + | 7.85715i | −0.221122 | + | 0.255188i | ||||
\(949\) | −12.8772 | − | 3.78109i | −0.418012 | − | 0.122739i | ||||
\(950\) | 3.77143 | − | 2.42375i | 0.122361 | − | 0.0786369i | ||||
\(951\) | −0.946214 | − | 2.07192i | −0.0306831 | − | 0.0671866i | ||||
\(952\) | 19.1468 | + | 22.0965i | 0.620550 | + | 0.716153i | ||||
\(953\) | 44.9827 | + | 28.9087i | 1.45713 | + | 0.936443i | 0.998865 | + | 0.0476294i | \(0.0151667\pi\) |
0.458269 | + | 0.888814i | \(0.348470\pi\) | |||||||
\(954\) | 3.26147 | − | 22.6840i | 0.105594 | − | 0.734422i | ||||
\(955\) | 2.85614 | − | 19.8649i | 0.0924225 | − | 0.642812i | ||||
\(956\) | 6.35056 | + | 4.08126i | 0.205392 | + | 0.131997i | ||||
\(957\) | −6.34169 | − | 7.31870i | −0.204998 | − | 0.236580i | ||||
\(958\) | 8.62205 | + | 18.8797i | 0.278566 | + | 0.609974i | ||||
\(959\) | 5.56399 | − | 3.57576i | 0.179671 | − | 0.115467i | ||||
\(960\) | 10.5823 | + | 3.10725i | 0.341543 | + | 0.100286i | ||||
\(961\) | 19.7938 | − | 22.8433i | 0.638509 | − | 0.736879i | ||||
\(962\) | 17.1560 | − | 5.03747i | 0.553133 | − | 0.162414i | ||||
\(963\) | −6.08555 | + | 13.3255i | −0.196104 | + | 0.429408i | ||||
\(964\) | −1.31611 | − | 9.15376i | −0.0423891 | − | 0.294823i | ||||
\(965\) | −2.26441 | −0.0728939 | ||||||||
\(966\) | 3.22471 | + | 35.7592i | 0.103753 | + | 1.15053i | ||||
\(967\) | 45.9408 | 1.47736 | 0.738679 | − | 0.674058i | \(-0.235450\pi\) | ||||
0.738679 | + | 0.674058i | \(0.235450\pi\) | |||||||
\(968\) | −2.12138 | − | 14.7545i | −0.0681839 | − | 0.474229i | ||||
\(969\) | −3.80141 | + | 8.32392i | −0.122119 | + | 0.267403i | ||||
\(970\) | −5.63166 | + | 1.65361i | −0.180822 | + | 0.0530941i | ||||
\(971\) | −27.3561 | + | 31.5706i | −0.877898 | + | 1.01315i | 0.121890 | + | 0.992544i | \(0.461104\pi\) |
−0.999788 | + | 0.0206043i | \(0.993441\pi\) | |||||||
\(972\) | −7.80927 | − | 2.29301i | −0.250482 | − | 0.0735483i | ||||
\(973\) | 47.7050 | − | 30.6581i | 1.52935 | − | 0.982855i | ||||
\(974\) | 21.0109 | + | 46.0075i | 0.673234 | + | 1.47418i | ||||
\(975\) | −2.07864 | − | 2.39887i | −0.0665696 | − | 0.0768254i | ||||
\(976\) | −15.3440 | − | 9.86101i | −0.491150 | − | 0.315643i | ||||
\(977\) | 0.824817 | − | 5.73673i | 0.0263882 | − | 0.183534i | −0.972364 | − | 0.233469i | \(-0.924992\pi\) |
0.998752 | + | 0.0499348i | \(0.0159014\pi\) | |||||||
\(978\) | 3.52374 | − | 24.5082i | 0.112677 | − | 0.783685i | ||||
\(979\) | 3.94000 | + | 2.53208i | 0.125923 | + | 0.0809257i | ||||
\(980\) | 7.48651 | + | 8.63989i | 0.239148 | + | 0.275991i | ||||
\(981\) | 1.22731 | + | 2.68744i | 0.0391850 | + | 0.0858033i | ||||
\(982\) | −14.2828 | + | 9.17898i | −0.455782 | + | 0.292913i | ||||
\(983\) | −31.2574 | − | 9.17801i | −0.996957 | − | 0.292733i | −0.257751 | − | 0.966212i | \(-0.582981\pi\) |
−0.739207 | + | 0.673478i | \(0.764799\pi\) | |||||||
\(984\) | −2.02358 | + | 2.33534i | −0.0645094 | + | 0.0744478i | ||||
\(985\) | 15.1961 | − | 4.46197i | 0.484187 | − | 0.142170i | ||||
\(986\) | −2.83039 | + | 6.19769i | −0.0901379 | + | 0.197375i | ||||
\(987\) | −3.38189 | − | 23.5216i | −0.107647 | − | 0.748700i | ||||
\(988\) | 5.96846 | 0.189882 | ||||||||
\(989\) | −38.0956 | − | 27.4311i | −1.21137 | − | 0.872259i | ||||
\(990\) | −4.04946 | −0.128700 | ||||||||
\(991\) | 1.85281 | + | 12.8866i | 0.0588564 | + | 0.409355i | 0.997857 | + | 0.0654387i | \(0.0208447\pi\) |
−0.939000 | + | 0.343917i | \(0.888246\pi\) | |||||||
\(992\) | −1.23707 | + | 2.70881i | −0.0392770 | + | 0.0860047i | ||||
\(993\) | 4.45346 | − | 1.30766i | 0.141326 | − | 0.0414972i | ||||
\(994\) | −34.1471 | + | 39.4078i | −1.08308 | + | 1.24994i | ||||
\(995\) | 10.4492 | + | 3.06817i | 0.331263 | + | 0.0972675i | ||||
\(996\) | −2.64880 | + | 1.70228i | −0.0839304 | + | 0.0539388i | ||||
\(997\) | −14.0641 | − | 30.7961i | −0.445415 | − | 0.975322i | −0.990573 | − | 0.136989i | \(-0.956258\pi\) |
0.545158 | − | 0.838333i | \(-0.316470\pi\) | |||||||
\(998\) | 18.3315 | + | 21.1556i | 0.580272 | + | 0.669670i | ||||
\(999\) | 28.5396 | + | 18.3413i | 0.902952 | + | 0.580292i |
(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 | 115.2.g.c.26.2 | ✓ | 50 | |
5.2 | odd | 4 | 575.2.p.d.49.7 | 100 | |||
5.3 | odd | 4 | 575.2.p.d.49.4 | 100 | |||
5.4 | even | 2 | 575.2.k.d.26.4 | 50 | |||
23.8 | even | 11 | inner | 115.2.g.c.31.2 | yes | 50 | |
23.10 | odd | 22 | 2645.2.a.x.1.17 | 25 | |||
23.13 | even | 11 | 2645.2.a.y.1.17 | 25 | |||
115.8 | odd | 44 | 575.2.p.d.399.7 | 100 | |||
115.54 | even | 22 | 575.2.k.d.376.4 | 50 | |||
115.77 | odd | 44 | 575.2.p.d.399.4 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.g.c.26.2 | ✓ | 50 | 1.1 | even | 1 | trivial | |
115.2.g.c.31.2 | yes | 50 | 23.8 | even | 11 | inner | |
575.2.k.d.26.4 | 50 | 5.4 | even | 2 | |||
575.2.k.d.376.4 | 50 | 115.54 | even | 22 | |||
575.2.p.d.49.4 | 100 | 5.3 | odd | 4 | |||
575.2.p.d.49.7 | 100 | 5.2 | odd | 4 | |||
575.2.p.d.399.4 | 100 | 115.77 | odd | 44 | |||
575.2.p.d.399.7 | 100 | 115.8 | odd | 44 | |||
2645.2.a.x.1.17 | 25 | 23.10 | odd | 22 | |||
2645.2.a.y.1.17 | 25 | 23.13 | even | 11 |