Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(52,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.u (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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 52.20 | ||
Character | \(\chi\) | \(=\) | 731.52 |
Dual form | 731.2.u.b.239.20 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.486709 | + | 0.610314i | 0.344155 | + | 0.431557i | 0.923543 | − | 0.383495i | \(-0.125280\pi\) |
−0.579388 | + | 0.815052i | \(0.696708\pi\) | |||||||
\(3\) | −1.78702 | − | 0.269350i | −1.03174 | − | 0.155510i | −0.388717 | − | 0.921357i | \(-0.627082\pi\) |
−0.643022 | + | 0.765848i | \(0.722320\pi\) | |||||||
\(4\) | 0.309445 | − | 1.35577i | 0.154722 | − | 0.677883i | ||||
\(5\) | −3.20929 | − | 2.18806i | −1.43524 | − | 0.978529i | −0.996814 | − | 0.0797609i | \(-0.974584\pi\) |
−0.438424 | − | 0.898768i | \(-0.644463\pi\) | |||||||
\(6\) | −0.705372 | − | 1.22174i | −0.287967 | − | 0.498773i | ||||
\(7\) | 2.22375 | − | 3.85164i | 0.840497 | − | 1.45578i | −0.0489777 | − | 0.998800i | \(-0.515596\pi\) |
0.889475 | − | 0.456984i | \(-0.151070\pi\) | |||||||
\(8\) | 2.38468 | − | 1.14840i | 0.843112 | − | 0.406021i | ||||
\(9\) | 0.254185 | + | 0.0784058i | 0.0847285 | + | 0.0261353i | ||||
\(10\) | −0.226589 | − | 3.02362i | −0.0716538 | − | 0.956153i | ||||
\(11\) | 0.677982 | + | 2.97043i | 0.204419 | + | 0.895619i | 0.968207 | + | 0.250151i | \(0.0804803\pi\) |
−0.763788 | + | 0.645468i | \(0.776663\pi\) | |||||||
\(12\) | −0.918161 | + | 2.33944i | −0.265050 | + | 0.675337i | ||||
\(13\) | 0.0799425 | − | 1.06676i | 0.0221721 | − | 0.295866i | −0.975084 | − | 0.221836i | \(-0.928795\pi\) |
0.997256 | − | 0.0740296i | \(-0.0235859\pi\) | |||||||
\(14\) | 3.43303 | − | 0.517446i | 0.917515 | − | 0.138293i | ||||
\(15\) | 5.14572 | + | 4.77453i | 1.32862 | + | 1.23278i | ||||
\(16\) | −0.644300 | − | 0.310279i | −0.161075 | − | 0.0775697i | ||||
\(17\) | −0.826239 | + | 0.563320i | −0.200392 | + | 0.136625i | ||||
\(18\) | 0.0758622 | + | 0.193294i | 0.0178809 | + | 0.0455598i | ||||
\(19\) | −7.05178 | + | 2.17519i | −1.61779 | + | 0.499022i | −0.965818 | − | 0.259221i | \(-0.916534\pi\) |
−0.651972 | + | 0.758243i | \(0.726058\pi\) | |||||||
\(20\) | −3.95959 | + | 3.67396i | −0.885391 | + | 0.821523i | ||||
\(21\) | −5.01133 | + | 6.28401i | −1.09356 | + | 1.37128i | ||||
\(22\) | −1.48292 | + | 1.85952i | −0.316159 | + | 0.396450i | ||||
\(23\) | 3.65973 | − | 3.39574i | 0.763107 | − | 0.708060i | −0.199220 | − | 0.979955i | \(-0.563841\pi\) |
0.962327 | + | 0.271895i | \(0.0876504\pi\) | |||||||
\(24\) | −4.57080 | + | 1.40991i | −0.933012 | + | 0.287796i | ||||
\(25\) | 3.68525 | + | 9.38985i | 0.737049 | + | 1.87797i | ||||
\(26\) | 0.689966 | − | 0.470411i | 0.135314 | − | 0.0922552i | ||||
\(27\) | 4.45160 | + | 2.14378i | 0.856711 | + | 0.412570i | ||||
\(28\) | −4.53380 | − | 4.20675i | −0.856807 | − | 0.795001i | ||||
\(29\) | −4.41798 | + | 0.665903i | −0.820398 | + | 0.123655i | −0.545812 | − | 0.837907i | \(-0.683779\pi\) |
−0.274586 | + | 0.961563i | \(0.588541\pi\) | |||||||
\(30\) | −0.409494 | + | 5.46431i | −0.0747630 | + | 0.997643i | ||||
\(31\) | 1.01664 | − | 2.59037i | 0.182595 | − | 0.465243i | −0.810042 | − | 0.586371i | \(-0.800556\pi\) |
0.992637 | + | 0.121128i | \(0.0386512\pi\) | |||||||
\(32\) | −1.30215 | − | 5.70511i | −0.230191 | − | 1.00853i | ||||
\(33\) | −0.411482 | − | 5.49085i | −0.0716298 | − | 0.955834i | ||||
\(34\) | −0.745940 | − | 0.230092i | −0.127928 | − | 0.0394604i | ||||
\(35\) | −15.5643 | + | 7.49535i | −2.63084 | + | 1.26695i | ||||
\(36\) | 0.184956 | − | 0.320354i | 0.0308260 | − | 0.0533923i | ||||
\(37\) | −2.99388 | − | 5.18555i | −0.492191 | − | 0.852499i | 0.507769 | − | 0.861493i | \(-0.330470\pi\) |
−0.999960 | + | 0.00899410i | \(0.997137\pi\) | |||||||
\(38\) | −4.75971 | − | 3.24512i | −0.772127 | − | 0.526427i | ||||
\(39\) | −0.430191 | + | 1.88479i | −0.0688857 | + | 0.301808i | ||||
\(40\) | −10.1659 | − | 1.53226i | −1.60737 | − | 0.242272i | ||||
\(41\) | 0.748064 | + | 0.938043i | 0.116828 | + | 0.146498i | 0.836807 | − | 0.547499i | \(-0.184420\pi\) |
−0.719979 | + | 0.693996i | \(0.755848\pi\) | |||||||
\(42\) | −6.27428 | −0.968142 | ||||||||
\(43\) | 4.37907 | + | 4.88096i | 0.667801 | + | 0.744339i | ||||
\(44\) | 4.23701 | 0.638753 | ||||||||
\(45\) | −0.644199 | − | 0.807800i | −0.0960315 | − | 0.120420i | ||||
\(46\) | 3.85369 | + | 0.580850i | 0.568195 | + | 0.0856417i | ||||
\(47\) | −0.339550 | + | 1.48767i | −0.0495285 | + | 0.216999i | −0.993636 | − | 0.112639i | \(-0.964070\pi\) |
0.944107 | + | 0.329638i | \(0.106927\pi\) | |||||||
\(48\) | 1.06781 | + | 0.728018i | 0.154125 | + | 0.105080i | ||||
\(49\) | −6.39010 | − | 11.0680i | −0.912871 | − | 1.58114i | ||||
\(50\) | −3.93711 | + | 6.81928i | −0.556792 | + | 0.964392i | ||||
\(51\) | 1.62824 | − | 0.784118i | 0.227999 | − | 0.109799i | ||||
\(52\) | −1.42154 | − | 0.438486i | −0.197132 | − | 0.0608071i | ||||
\(53\) | 0.982106 | + | 13.1053i | 0.134903 | + | 1.80015i | 0.496729 | + | 0.867906i | \(0.334534\pi\) |
−0.361826 | + | 0.932246i | \(0.617847\pi\) | |||||||
\(54\) | 0.858257 | + | 3.76027i | 0.116794 | + | 0.511708i | ||||
\(55\) | 4.32363 | − | 11.0164i | 0.582999 | − | 1.48546i | ||||
\(56\) | 0.879694 | − | 11.7387i | 0.117554 | − | 1.56865i | ||||
\(57\) | 13.1876 | − | 1.98771i | 1.74674 | − | 0.263279i | ||||
\(58\) | −2.55668 | − | 2.37225i | −0.335709 | − | 0.311492i | ||||
\(59\) | 1.56257 | + | 0.752496i | 0.203430 | + | 0.0979667i | 0.532825 | − | 0.846226i | \(-0.321130\pi\) |
−0.329395 | + | 0.944192i | \(0.606845\pi\) | |||||||
\(60\) | 8.06547 | − | 5.49894i | 1.04125 | − | 0.709910i | ||||
\(61\) | −3.26214 | − | 8.31180i | −0.417674 | − | 1.06422i | −0.972635 | − | 0.232340i | \(-0.925362\pi\) |
0.554961 | − | 0.831877i | \(-0.312733\pi\) | |||||||
\(62\) | 2.07574 | − | 0.640282i | 0.263620 | − | 0.0813160i | ||||
\(63\) | 0.867235 | − | 0.804677i | 0.109261 | − | 0.101380i | ||||
\(64\) | 1.95640 | − | 2.45325i | 0.244550 | − | 0.306656i | ||||
\(65\) | −2.59069 | + | 3.24862i | −0.321335 | + | 0.402942i | ||||
\(66\) | 3.15087 | − | 2.92358i | 0.387845 | − | 0.359867i | ||||
\(67\) | −5.05332 | + | 1.55874i | −0.617361 | + | 0.190431i | −0.587633 | − | 0.809127i | \(-0.699940\pi\) |
−0.0297276 | + | 0.999558i | \(0.509464\pi\) | |||||||
\(68\) | 0.508055 | + | 1.29450i | 0.0616107 | + | 0.156981i | ||||
\(69\) | −7.45467 | + | 5.08251i | −0.897437 | + | 0.611862i | ||||
\(70\) | −12.1498 | − | 5.85103i | −1.45218 | − | 0.699331i | ||||
\(71\) | 4.44061 | + | 4.12029i | 0.527004 | + | 0.488988i | 0.898213 | − | 0.439561i | \(-0.144866\pi\) |
−0.371209 | + | 0.928549i | \(0.621057\pi\) | |||||||
\(72\) | 0.696193 | − | 0.104934i | 0.0820471 | − | 0.0123666i | ||||
\(73\) | 0.612151 | − | 8.16859i | 0.0716469 | − | 0.956062i | −0.839335 | − | 0.543615i | \(-0.817055\pi\) |
0.910982 | − | 0.412447i | \(-0.135326\pi\) | |||||||
\(74\) | 1.70766 | − | 4.35106i | 0.198512 | − | 0.505800i | ||||
\(75\) | −4.05646 | − | 17.7725i | −0.468400 | − | 2.05219i | ||||
\(76\) | 0.766907 | + | 10.2337i | 0.0879703 | + | 1.17388i | ||||
\(77\) | 12.9487 | + | 3.99414i | 1.47564 | + | 0.455175i | ||||
\(78\) | −1.35969 | + | 0.654793i | −0.153955 | + | 0.0741407i | ||||
\(79\) | −1.34181 | + | 2.32408i | −0.150965 | + | 0.261480i | −0.931583 | − | 0.363530i | \(-0.881571\pi\) |
0.780617 | + | 0.625009i | \(0.214905\pi\) | |||||||
\(80\) | 1.38884 | + | 2.40554i | 0.155277 | + | 0.268948i | ||||
\(81\) | −8.03703 | − | 5.47956i | −0.893004 | − | 0.608840i | ||||
\(82\) | −0.208411 | + | 0.913107i | −0.0230151 | + | 0.100836i | ||||
\(83\) | −4.63288 | − | 0.698294i | −0.508525 | − | 0.0766477i | −0.110231 | − | 0.993906i | \(-0.535159\pi\) |
−0.398293 | + | 0.917258i | \(0.630397\pi\) | |||||||
\(84\) | 6.96891 | + | 8.73874i | 0.760371 | + | 0.953475i | ||||
\(85\) | 3.88422 | 0.421302 | ||||||||
\(86\) | −0.847586 | + | 5.04821i | −0.0913976 | + | 0.544363i | ||||
\(87\) | 8.07440 | 0.865666 | ||||||||
\(88\) | 5.02802 | + | 6.30494i | 0.535989 | + | 0.672108i | ||||
\(89\) | −12.0564 | − | 1.81721i | −1.27797 | − | 0.192623i | −0.525243 | − | 0.850953i | \(-0.676025\pi\) |
−0.752730 | + | 0.658329i | \(0.771264\pi\) | |||||||
\(90\) | 0.179474 | − | 0.786326i | 0.0189182 | − | 0.0828861i | ||||
\(91\) | −3.93100 | − | 2.68011i | −0.412081 | − | 0.280952i | ||||
\(92\) | −3.47134 | − | 6.01253i | −0.361912 | − | 0.626850i | ||||
\(93\) | −2.51448 | + | 4.35521i | −0.260740 | + | 0.451614i | ||||
\(94\) | −1.07321 | + | 0.516829i | −0.110693 | + | 0.0533068i | ||||
\(95\) | 27.3907 | + | 8.44890i | 2.81022 | + | 0.866839i | ||||
\(96\) | 0.790306 | + | 10.5459i | 0.0806603 | + | 1.07634i | ||||
\(97\) | −1.93401 | − | 8.47345i | −0.196369 | − | 0.860348i | −0.973076 | − | 0.230486i | \(-0.925968\pi\) |
0.776707 | − | 0.629862i | \(-0.216889\pi\) | |||||||
\(98\) | 3.64482 | − | 9.28685i | 0.368182 | − | 0.938113i | ||||
\(99\) | −0.0605661 | + | 0.808198i | −0.00608712 | + | 0.0812270i | ||||
\(100\) | 13.8708 | − | 2.09069i | 1.38708 | − | 0.209069i | ||||
\(101\) | 8.82209 | + | 8.18570i | 0.877830 | + | 0.814508i | 0.983690 | − | 0.179874i | \(-0.0575689\pi\) |
−0.105859 | + | 0.994381i | \(0.533759\pi\) | |||||||
\(102\) | 1.27104 | + | 0.612099i | 0.125851 | + | 0.0606068i | ||||
\(103\) | 0.698561 | − | 0.476271i | 0.0688312 | − | 0.0469283i | −0.528416 | − | 0.848986i | \(-0.677214\pi\) |
0.597247 | + | 0.802058i | \(0.296261\pi\) | |||||||
\(104\) | −1.03443 | − | 2.63569i | −0.101434 | − | 0.258450i | ||||
\(105\) | 29.8326 | − | 9.20213i | 2.91136 | − | 0.898036i | ||||
\(106\) | −7.52034 | + | 6.97786i | −0.730440 | + | 0.677750i | ||||
\(107\) | 6.26644 | − | 7.85787i | 0.605799 | − | 0.759649i | −0.380470 | − | 0.924793i | \(-0.624238\pi\) |
0.986269 | + | 0.165145i | \(0.0528092\pi\) | |||||||
\(108\) | 4.28398 | − | 5.37194i | 0.412226 | − | 0.516916i | ||||
\(109\) | −8.23086 | + | 7.63712i | −0.788373 | + | 0.731504i | −0.967650 | − | 0.252295i | \(-0.918815\pi\) |
0.179277 | + | 0.983799i | \(0.442624\pi\) | |||||||
\(110\) | 8.82784 | − | 2.72303i | 0.841701 | − | 0.259630i | ||||
\(111\) | 3.95340 | + | 10.0731i | 0.375240 | + | 0.956097i | ||||
\(112\) | −2.62784 | + | 1.79163i | −0.248308 | + | 0.169293i | ||||
\(113\) | 7.36927 | + | 3.54885i | 0.693243 | + | 0.333848i | 0.747110 | − | 0.664700i | \(-0.231441\pi\) |
−0.0538676 | + | 0.998548i | \(0.517155\pi\) | |||||||
\(114\) | 7.63164 | + | 7.08113i | 0.714769 | + | 0.663209i | ||||
\(115\) | −19.1752 | + | 2.89020i | −1.78810 | + | 0.269512i | ||||
\(116\) | −0.464311 | + | 6.19581i | −0.0431102 | + | 0.575266i | ||||
\(117\) | 0.103960 | − | 0.264887i | 0.00961114 | − | 0.0244888i | ||||
\(118\) | 0.301260 | + | 1.31991i | 0.0277333 | + | 0.121507i | ||||
\(119\) | 0.332362 | + | 4.43506i | 0.0304675 | + | 0.406561i | ||||
\(120\) | 17.7540 | + | 5.47638i | 1.62071 | + | 0.499923i | ||||
\(121\) | 1.54686 | − | 0.744926i | 0.140623 | − | 0.0677206i | ||||
\(122\) | 3.48509 | − | 6.03635i | 0.315525 | − | 0.546506i | ||||
\(123\) | −1.08415 | − | 1.87780i | −0.0977541 | − | 0.169315i | ||||
\(124\) | −3.19733 | − | 2.17990i | −0.287129 | − | 0.195761i | ||||
\(125\) | 4.39692 | − | 19.2641i | 0.393272 | − | 1.72304i | ||||
\(126\) | 0.913196 | + | 0.137642i | 0.0813540 | + | 0.0122621i | ||||
\(127\) | −9.35314 | − | 11.7285i | −0.829957 | − | 1.04073i | −0.998484 | − | 0.0550365i | \(-0.982472\pi\) |
0.168527 | − | 0.985697i | \(-0.446099\pi\) | |||||||
\(128\) | −9.25421 | −0.817965 | ||||||||
\(129\) | −6.51081 | − | 9.90190i | −0.573245 | − | 0.871813i | ||||
\(130\) | −3.24359 | −0.284482 | ||||||||
\(131\) | −6.68689 | − | 8.38509i | −0.584236 | − | 0.732609i | 0.398593 | − | 0.917128i | \(-0.369499\pi\) |
−0.982829 | + | 0.184519i | \(0.940927\pi\) | |||||||
\(132\) | −7.57163 | − | 1.14124i | −0.659026 | − | 0.0993322i | ||||
\(133\) | −7.30334 | + | 31.9980i | −0.633280 | + | 2.77458i | ||||
\(134\) | −3.41082 | − | 2.32545i | −0.294650 | − | 0.200889i | ||||
\(135\) | −9.59577 | − | 16.6204i | −0.825872 | − | 1.43045i | ||||
\(136\) | −1.32340 | + | 2.29219i | −0.113480 | + | 0.196554i | ||||
\(137\) | −15.3951 | + | 7.41387i | −1.31529 | + | 0.633409i | −0.954213 | − | 0.299128i | \(-0.903304\pi\) |
−0.361075 | + | 0.932537i | \(0.617590\pi\) | |||||||
\(138\) | −6.73018 | − | 2.07599i | −0.572911 | − | 0.176720i | ||||
\(139\) | −1.45189 | − | 19.3741i | −0.123148 | − | 1.64329i | −0.626653 | − | 0.779299i | \(-0.715576\pi\) |
0.503505 | − | 0.863992i | \(-0.332044\pi\) | |||||||
\(140\) | 5.34566 | + | 23.4209i | 0.451791 | + | 1.97943i | ||||
\(141\) | 1.00749 | − | 2.56704i | 0.0848458 | − | 0.216184i | ||||
\(142\) | −0.353381 | + | 4.71555i | −0.0296551 | + | 0.395720i | ||||
\(143\) | 3.22293 | − | 0.485779i | 0.269515 | − | 0.0406229i | ||||
\(144\) | −0.139444 | − | 0.129385i | −0.0116203 | − | 0.0107821i | ||||
\(145\) | 15.6356 | + | 7.52972i | 1.29847 | + | 0.625309i | ||||
\(146\) | 5.28334 | − | 3.60212i | 0.437253 | − | 0.298114i | ||||
\(147\) | 8.43809 | + | 21.4999i | 0.695962 | + | 1.77328i | ||||
\(148\) | −7.95683 | + | 2.45436i | −0.654047 | + | 0.201747i | ||||
\(149\) | 14.1093 | − | 13.0915i | 1.15588 | − | 1.07250i | 0.159522 | − | 0.987194i | \(-0.449005\pi\) |
0.996355 | − | 0.0853031i | \(-0.0271859\pi\) | |||||||
\(150\) | 8.87249 | − | 11.1258i | 0.724436 | − | 0.908414i | ||||
\(151\) | 5.32962 | − | 6.68313i | 0.433718 | − | 0.543866i | −0.516157 | − | 0.856494i | \(-0.672638\pi\) |
0.949876 | + | 0.312628i | \(0.101209\pi\) | |||||||
\(152\) | −14.3183 | + | 13.2854i | −1.16136 | + | 1.07759i | ||||
\(153\) | −0.254185 | + | 0.0784058i | −0.0205497 | + | 0.00633874i | ||||
\(154\) | 3.86457 | + | 9.84675i | 0.311416 | + | 0.793474i | ||||
\(155\) | −8.93057 | + | 6.08876i | −0.717321 | + | 0.489061i | ||||
\(156\) | 2.42221 | + | 1.16648i | 0.193932 | + | 0.0933929i | ||||
\(157\) | −1.49752 | − | 1.38949i | −0.119515 | − | 0.110894i | 0.618151 | − | 0.786059i | \(-0.287882\pi\) |
−0.737666 | + | 0.675165i | \(0.764072\pi\) | |||||||
\(158\) | −2.07149 | + | 0.312227i | −0.164799 | + | 0.0248394i | ||||
\(159\) | 1.77487 | − | 23.6840i | 0.140756 | − | 1.87826i | ||||
\(160\) | −8.30412 | + | 21.1586i | −0.656498 | + | 1.67273i | ||||
\(161\) | −4.94084 | − | 21.6472i | −0.389393 | − | 1.70604i | ||||
\(162\) | −0.567447 | − | 7.57206i | −0.0445829 | − | 0.594917i | ||||
\(163\) | −12.4807 | − | 3.84980i | −0.977566 | − | 0.301539i | −0.235506 | − | 0.971873i | \(-0.575675\pi\) |
−0.742060 | + | 0.670333i | \(0.766151\pi\) | |||||||
\(164\) | 1.50325 | − | 0.723927i | 0.117384 | − | 0.0565292i | ||||
\(165\) | −10.6937 | + | 18.5221i | −0.832505 | + | 1.44194i | ||||
\(166\) | −1.82869 | − | 3.16738i | −0.141933 | − | 0.245836i | ||||
\(167\) | −16.4874 | − | 11.2410i | −1.27584 | − | 0.869851i | −0.279911 | − | 0.960026i | \(-0.590305\pi\) |
−0.995926 | + | 0.0901750i | \(0.971257\pi\) | |||||||
\(168\) | −4.73386 | + | 20.7404i | −0.365225 | + | 1.60015i | ||||
\(169\) | 11.7232 | + | 1.76699i | 0.901786 | + | 0.135922i | ||||
\(170\) | 1.89048 | + | 2.37059i | 0.144993 | + | 0.181816i | ||||
\(171\) | −1.96301 | −0.150115 | ||||||||
\(172\) | 7.97252 | − | 4.42660i | 0.607899 | − | 0.337525i | ||||
\(173\) | 7.82885 | 0.595216 | 0.297608 | − | 0.954688i | \(-0.403811\pi\) | ||||
0.297608 | + | 0.954688i | \(0.403811\pi\) | |||||||
\(174\) | 3.92988 | + | 4.92791i | 0.297924 | + | 0.373584i | ||||
\(175\) | 44.3614 | + | 6.68641i | 3.35341 | + | 0.505445i | ||||
\(176\) | 0.484838 | − | 2.12421i | 0.0365460 | − | 0.160119i | ||||
\(177\) | −2.58967 | − | 1.76561i | −0.194652 | − | 0.132711i | ||||
\(178\) | −4.75888 | − | 8.24262i | −0.356693 | − | 0.617810i | ||||
\(179\) | 6.30032 | − | 10.9125i | 0.470908 | − | 0.815636i | −0.528539 | − | 0.848909i | \(-0.677260\pi\) |
0.999446 | + | 0.0332732i | \(0.0105931\pi\) | |||||||
\(180\) | −1.29453 | + | 0.623413i | −0.0964886 | + | 0.0464665i | ||||
\(181\) | 6.88140 | + | 2.12263i | 0.511491 | + | 0.157774i | 0.539748 | − | 0.841827i | \(-0.318520\pi\) |
−0.0282572 | + | 0.999601i | \(0.508996\pi\) | |||||||
\(182\) | −0.277545 | − | 3.70358i | −0.0205730 | − | 0.274528i | ||||
\(183\) | 3.59073 | + | 15.7320i | 0.265435 | + | 1.16295i | ||||
\(184\) | 4.82763 | − | 12.3006i | 0.355897 | − | 0.906812i | ||||
\(185\) | −1.73805 | + | 23.1927i | −0.127784 | + | 1.70516i | ||||
\(186\) | −3.88187 | + | 0.585097i | −0.284632 | + | 0.0429014i | ||||
\(187\) | −2.23348 | − | 2.07236i | −0.163328 | − | 0.151546i | ||||
\(188\) | 1.91186 | + | 0.920701i | 0.139436 | + | 0.0671490i | ||||
\(189\) | 18.1563 | − | 12.3788i | 1.32068 | − | 0.900422i | ||||
\(190\) | 8.17480 | + | 20.8290i | 0.593062 | + | 1.51110i | ||||
\(191\) | 4.50325 | − | 1.38907i | 0.325843 | − | 0.100509i | −0.127518 | − | 0.991836i | \(-0.540701\pi\) |
0.453361 | + | 0.891327i | \(0.350225\pi\) | |||||||
\(192\) | −4.15691 | + | 3.85705i | −0.299999 | + | 0.278359i | ||||
\(193\) | 13.6827 | − | 17.1576i | 0.984903 | − | 1.23503i | 0.0129352 | − | 0.999916i | \(-0.495882\pi\) |
0.971968 | − | 0.235113i | \(-0.0755461\pi\) | |||||||
\(194\) | 4.23016 | − | 5.30445i | 0.303708 | − | 0.380838i | ||||
\(195\) | 5.50464 | − | 5.10756i | 0.394195 | − | 0.365760i | ||||
\(196\) | −16.9830 | + | 5.23855i | −1.21307 | + | 0.374182i | ||||
\(197\) | 8.02110 | + | 20.4374i | 0.571479 | + | 1.45611i | 0.865796 | + | 0.500398i | \(0.166813\pi\) |
−0.294316 | + | 0.955708i | \(0.595092\pi\) | |||||||
\(198\) | −0.522732 | + | 0.356393i | −0.0371490 | + | 0.0253277i | ||||
\(199\) | 2.13927 | + | 1.03022i | 0.151649 | + | 0.0730303i | 0.508169 | − | 0.861257i | \(-0.330323\pi\) |
−0.356520 | + | 0.934288i | \(0.616037\pi\) | |||||||
\(200\) | 19.5715 | + | 18.1597i | 1.38391 | + | 1.28408i | ||||
\(201\) | 9.45024 | − | 1.42439i | 0.666569 | − | 0.100469i | ||||
\(202\) | −0.702057 | + | 9.36829i | −0.0493965 | + | 0.659151i | ||||
\(203\) | −7.25965 | + | 18.4973i | −0.509527 | + | 1.29825i | ||||
\(204\) | −0.559231 | − | 2.45015i | −0.0391540 | − | 0.171545i | ||||
\(205\) | −0.348264 | − | 4.64726i | −0.0243238 | − | 0.324579i | ||||
\(206\) | 0.630670 | + | 0.194536i | 0.0439409 | + | 0.0135540i | ||||
\(207\) | 1.19650 | − | 0.576202i | 0.0831622 | − | 0.0400488i | ||||
\(208\) | −0.382500 | + | 0.662509i | −0.0265216 | + | 0.0459367i | ||||
\(209\) | −11.2422 | − | 19.4721i | −0.777641 | − | 1.34691i | ||||
\(210\) | 20.1360 | + | 13.7285i | 1.38951 | + | 0.947355i | ||||
\(211\) | 0.928781 | − | 4.06926i | 0.0639399 | − | 0.280139i | −0.932843 | − | 0.360282i | \(-0.882680\pi\) |
0.996783 | + | 0.0801428i | \(0.0255376\pi\) | |||||||
\(212\) | 18.0716 | + | 2.72386i | 1.24116 | + | 0.187075i | ||||
\(213\) | −6.82568 | − | 8.55913i | −0.467688 | − | 0.586462i | ||||
\(214\) | 7.84569 | 0.536321 | ||||||||
\(215\) | −3.37388 | − | 25.2461i | −0.230096 | − | 1.72177i | ||||
\(216\) | 13.0776 | 0.889816 | ||||||||
\(217\) | −7.71640 | − | 9.67606i | −0.523824 | − | 0.656854i | ||||
\(218\) | −8.66707 | − | 1.30635i | −0.587008 | − | 0.0884773i | ||||
\(219\) | −3.29414 | + | 14.4326i | −0.222598 | + | 0.975264i | ||||
\(220\) | −13.5978 | − | 9.27081i | −0.916762 | − | 0.625038i | ||||
\(221\) | 0.534875 | + | 0.926431i | 0.0359796 | + | 0.0623185i | ||||
\(222\) | −4.22360 | + | 7.31549i | −0.283469 | + | 0.490983i | ||||
\(223\) | −21.1665 | + | 10.1932i | −1.41741 | + | 0.682589i | −0.976611 | − | 0.215016i | \(-0.931020\pi\) |
−0.440801 | + | 0.897605i | \(0.645305\pi\) | |||||||
\(224\) | −24.8697 | − | 7.67129i | −1.66168 | − | 0.512560i | ||||
\(225\) | 0.200517 | + | 2.67571i | 0.0133678 | + | 0.178381i | ||||
\(226\) | 1.42078 | + | 6.22483i | 0.0945086 | + | 0.414069i | ||||
\(227\) | 0.343410 | − | 0.874995i | 0.0227929 | − | 0.0580754i | −0.919024 | − | 0.394201i | \(-0.871021\pi\) |
0.941817 | + | 0.336126i | \(0.109117\pi\) | |||||||
\(228\) | 1.38596 | − | 18.4944i | 0.0917875 | − | 1.22482i | ||||
\(229\) | 11.9700 | − | 1.80419i | 0.790999 | − | 0.119224i | 0.258898 | − | 0.965905i | \(-0.416641\pi\) |
0.532101 | + | 0.846681i | \(0.321403\pi\) | |||||||
\(230\) | −11.0967 | − | 10.2962i | −0.731693 | − | 0.678912i | ||||
\(231\) | −22.0638 | − | 10.6254i | −1.45169 | − | 0.699098i | ||||
\(232\) | −9.77075 | + | 6.66158i | −0.641481 | + | 0.437354i | ||||
\(233\) | −0.586292 | − | 1.49385i | −0.0384093 | − | 0.0978652i | 0.910382 | − | 0.413769i | \(-0.135788\pi\) |
−0.948791 | + | 0.315903i | \(0.897692\pi\) | |||||||
\(234\) | 0.212262 | − | 0.0654743i | 0.0138760 | − | 0.00428019i | ||||
\(235\) | 4.34482 | − | 4.03140i | 0.283425 | − | 0.262980i | ||||
\(236\) | 1.50374 | − | 1.88563i | 0.0978851 | − | 0.122744i | ||||
\(237\) | 3.02384 | − | 3.79177i | 0.196419 | − | 0.246302i | ||||
\(238\) | −2.54501 | + | 2.36143i | −0.164969 | + | 0.153069i | ||||
\(239\) | −3.72326 | + | 1.14847i | −0.240838 | + | 0.0742886i | −0.412824 | − | 0.910811i | \(-0.635458\pi\) |
0.171987 | + | 0.985099i | \(0.444981\pi\) | |||||||
\(240\) | −1.83396 | − | 4.67284i | −0.118381 | − | 0.301631i | ||||
\(241\) | 2.24760 | − | 1.53239i | 0.144781 | − | 0.0987097i | −0.488764 | − | 0.872416i | \(-0.662552\pi\) |
0.633544 | + | 0.773707i | \(0.281600\pi\) | |||||||
\(242\) | 1.20751 | + | 0.581505i | 0.0776215 | + | 0.0373805i | ||||
\(243\) | 2.02063 | + | 1.87487i | 0.129624 | + | 0.120273i | ||||
\(244\) | −12.2783 | + | 1.85066i | −0.786037 | + | 0.118476i | ||||
\(245\) | −3.70968 | + | 49.5022i | −0.237003 | + | 3.16258i | ||||
\(246\) | 0.618381 | − | 1.57561i | 0.0394265 | − | 0.100457i | ||||
\(247\) | 1.75666 | + | 7.69644i | 0.111774 | + | 0.489713i | ||||
\(248\) | −0.550410 | − | 7.34471i | −0.0349511 | − | 0.466390i | ||||
\(249\) | 8.09098 | + | 2.49574i | 0.512745 | + | 0.158161i | ||||
\(250\) | 13.8972 | − | 6.69253i | 0.878935 | − | 0.423273i | ||||
\(251\) | −14.4688 | + | 25.0607i | −0.913261 | + | 1.58181i | −0.103834 | + | 0.994595i | \(0.533111\pi\) |
−0.809427 | + | 0.587220i | \(0.800222\pi\) | |||||||
\(252\) | −0.822592 | − | 1.42477i | −0.0518184 | − | 0.0897521i | ||||
\(253\) | 12.5680 | + | 8.56874i | 0.790145 | + | 0.538712i | ||||
\(254\) | 2.60579 | − | 11.4167i | 0.163502 | − | 0.716348i | ||||
\(255\) | −6.94119 | − | 1.04622i | −0.434674 | − | 0.0655166i | ||||
\(256\) | −8.41691 | − | 10.5545i | −0.526057 | − | 0.659654i | ||||
\(257\) | 12.1844 | 0.760043 | 0.380021 | − | 0.924978i | \(-0.375917\pi\) | ||||
0.380021 | + | 0.924978i | \(0.375917\pi\) | |||||||
\(258\) | 2.87439 | − | 8.79298i | 0.178952 | − | 0.547427i | ||||
\(259\) | −26.6305 | −1.65474 | ||||||||
\(260\) | 3.60269 | + | 4.51763i | 0.223430 | + | 0.280172i | ||||
\(261\) | −1.17520 | − | 0.177132i | −0.0727429 | − | 0.0109642i | ||||
\(262\) | 1.86297 | − | 8.16220i | 0.115095 | − | 0.504262i | ||||
\(263\) | −6.50549 | − | 4.43537i | −0.401146 | − | 0.273497i | 0.345897 | − | 0.938273i | \(-0.387575\pi\) |
−0.747043 | + | 0.664776i | \(0.768527\pi\) | |||||||
\(264\) | −7.28695 | − | 12.6214i | −0.448481 | − | 0.776792i | ||||
\(265\) | 25.5233 | − | 44.2076i | 1.56788 | − | 2.71565i | ||||
\(266\) | −23.0834 | + | 11.1164i | −1.41534 | + | 0.681590i | ||||
\(267\) | 21.0556 | + | 6.49478i | 1.28858 | + | 0.397474i | ||||
\(268\) | 0.549567 | + | 7.33346i | 0.0335701 | + | 0.447962i | ||||
\(269\) | −3.67075 | − | 16.0826i | −0.223809 | − | 0.980573i | −0.954581 | − | 0.297951i | \(-0.903697\pi\) |
0.730772 | − | 0.682622i | \(-0.239160\pi\) | |||||||
\(270\) | 5.47329 | − | 13.9457i | 0.333094 | − | 0.848709i | ||||
\(271\) | −0.414994 | + | 5.53771i | −0.0252091 | + | 0.336392i | 0.970312 | + | 0.241855i | \(0.0777559\pi\) |
−0.995521 | + | 0.0945365i | \(0.969863\pi\) | |||||||
\(272\) | 0.707132 | − | 0.106583i | 0.0428762 | − | 0.00646254i | ||||
\(273\) | 6.30290 | + | 5.84824i | 0.381469 | + | 0.353952i | ||||
\(274\) | −12.0177 | − | 5.78742i | −0.726015 | − | 0.349631i | ||||
\(275\) | −25.3934 | + | 17.3129i | −1.53128 | + | 1.04401i | ||||
\(276\) | 4.58388 | + | 11.6795i | 0.275917 | + | 0.703026i | ||||
\(277\) | 14.9570 | − | 4.61362i | 0.898678 | − | 0.277206i | 0.189205 | − | 0.981938i | \(-0.439409\pi\) |
0.709474 | + | 0.704732i | \(0.248933\pi\) | |||||||
\(278\) | 11.1176 | − | 10.3157i | 0.666792 | − | 0.618692i | ||||
\(279\) | 0.461516 | − | 0.578722i | 0.0276302 | − | 0.0346472i | ||||
\(280\) | −28.5081 | + | 35.7481i | −1.70369 | + | 2.13636i | ||||
\(281\) | 15.6584 | − | 14.5289i | 0.934104 | − | 0.866722i | −0.0571936 | − | 0.998363i | \(-0.518215\pi\) |
0.991297 | + | 0.131641i | \(0.0420247\pi\) | |||||||
\(282\) | 2.05705 | − | 0.634517i | 0.122496 | − | 0.0377849i | ||||
\(283\) | 1.89834 | + | 4.83689i | 0.112845 | + | 0.287523i | 0.976128 | − | 0.217196i | \(-0.0696911\pi\) |
−0.863283 | + | 0.504720i | \(0.831596\pi\) | |||||||
\(284\) | 6.96026 | − | 4.74543i | 0.413016 | − | 0.281589i | ||||
\(285\) | −46.6720 | − | 22.4761i | −2.76461 | − | 1.33137i | ||||
\(286\) | 1.86511 | + | 1.73057i | 0.110286 | + | 0.102331i | ||||
\(287\) | 5.27651 | − | 0.795306i | 0.311462 | − | 0.0469454i | ||||
\(288\) | 0.116325 | − | 1.55225i | 0.00685453 | − | 0.0914674i | ||||
\(289\) | 0.365341 | − | 0.930874i | 0.0214906 | − | 0.0547573i | ||||
\(290\) | 3.01451 | + | 13.2074i | 0.177018 | + | 0.775566i | ||||
\(291\) | 1.17379 | + | 15.6632i | 0.0688090 | + | 0.918192i | ||||
\(292\) | −10.8853 | − | 3.35766i | −0.637012 | − | 0.196492i | ||||
\(293\) | 10.3383 | − | 4.97867i | 0.603971 | − | 0.290857i | −0.106800 | − | 0.994281i | \(-0.534060\pi\) |
0.710771 | + | 0.703423i | \(0.248346\pi\) | |||||||
\(294\) | −9.01479 | + | 15.6141i | −0.525753 | + | 0.910632i | ||||
\(295\) | −3.36825 | − | 5.83398i | −0.196107 | − | 0.339668i | ||||
\(296\) | −13.0945 | − | 8.92771i | −0.761105 | − | 0.518913i | ||||
\(297\) | −3.34984 | + | 14.6766i | −0.194377 | + | 0.851623i | ||||
\(298\) | 14.8570 | + | 2.23934i | 0.860645 | + | 0.129721i | ||||
\(299\) | −3.32986 | − | 4.17552i | −0.192571 | − | 0.241476i | ||||
\(300\) | −25.3506 | −1.46362 | ||||||||
\(301\) | 28.5376 | − | 6.01258i | 1.64488 | − | 0.346559i | ||||
\(302\) | 6.67278 | 0.383975 | ||||||||
\(303\) | −13.5605 | − | 17.0043i | −0.779028 | − | 0.976870i | ||||
\(304\) | 5.21838 | + | 0.786544i | 0.299295 | + | 0.0451114i | ||||
\(305\) | −7.71753 | + | 33.8127i | −0.441905 | + | 1.93611i | ||||
\(306\) | −0.171567 | − | 0.116972i | −0.00980780 | − | 0.00668685i | ||||
\(307\) | −9.42265 | − | 16.3205i | −0.537779 | − | 0.931461i | −0.999023 | − | 0.0441876i | \(-0.985930\pi\) |
0.461244 | − | 0.887273i | \(-0.347403\pi\) | |||||||
\(308\) | 9.42203 | − | 16.3194i | 0.536870 | − | 0.929886i | ||||
\(309\) | −1.37663 | + | 0.662949i | −0.0783136 | + | 0.0377139i | ||||
\(310\) | −8.06264 | − | 2.48700i | −0.457927 | − | 0.141252i | ||||
\(311\) | −0.478461 | − | 6.38462i | −0.0271310 | − | 0.362038i | −0.994202 | − | 0.107531i | \(-0.965706\pi\) |
0.967071 | − | 0.254508i | \(-0.0819134\pi\) | |||||||
\(312\) | 1.13863 | + | 4.98866i | 0.0644622 | + | 0.282427i | ||||
\(313\) | −8.56376 | + | 21.8201i | −0.484052 | + | 1.23334i | 0.455284 | + | 0.890346i | \(0.349538\pi\) |
−0.939336 | + | 0.342998i | \(0.888557\pi\) | |||||||
\(314\) | 0.119172 | − | 1.59024i | 0.00672525 | − | 0.0897422i | ||||
\(315\) | −4.54389 | + | 0.684881i | −0.256019 | + | 0.0385887i | ||||
\(316\) | 2.73569 | + | 2.53835i | 0.153895 | + | 0.142793i | ||||
\(317\) | −27.1913 | − | 13.0946i | −1.52721 | − | 0.735468i | −0.533332 | − | 0.845906i | \(-0.679060\pi\) |
−0.993883 | + | 0.110439i | \(0.964774\pi\) | |||||||
\(318\) | 15.3185 | − | 10.4440i | 0.859020 | − | 0.585670i | ||||
\(319\) | −4.97333 | − | 12.6718i | −0.278453 | − | 0.709487i | ||||
\(320\) | −11.6465 | + | 3.59247i | −0.651059 | + | 0.200825i | ||||
\(321\) | −13.3148 | + | 12.3543i | −0.743159 | + | 0.689551i | ||||
\(322\) | 10.8069 | − | 13.5514i | 0.602242 | − | 0.755188i | ||||
\(323\) | 4.60113 | − | 5.76963i | 0.256014 | − | 0.321031i | ||||
\(324\) | −9.91601 | + | 9.20071i | −0.550889 | + | 0.511151i | ||||
\(325\) | 10.3113 | − | 3.18062i | 0.571969 | − | 0.176429i | ||||
\(326\) | −3.72490 | − | 9.49089i | −0.206303 | − | 0.525652i | ||||
\(327\) | 16.7658 | − | 11.4307i | 0.927151 | − | 0.632121i | ||||
\(328\) | 2.86114 | + | 1.37785i | 0.157980 | + | 0.0760793i | ||||
\(329\) | 4.97489 | + | 4.61602i | 0.274274 | + | 0.254489i | ||||
\(330\) | −16.5090 | + | 2.48833i | −0.908790 | + | 0.136978i | ||||
\(331\) | 1.17652 | − | 15.6995i | 0.0646672 | − | 0.862923i | −0.866697 | − | 0.498835i | \(-0.833761\pi\) |
0.931364 | − | 0.364089i | \(-0.118619\pi\) | |||||||
\(332\) | −2.38034 | + | 6.06501i | −0.130638 | + | 0.332861i | ||||
\(333\) | −0.354423 | − | 1.55283i | −0.0194223 | − | 0.0850945i | ||||
\(334\) | −1.16408 | − | 15.5336i | −0.0636957 | − | 0.849960i | ||||
\(335\) | 19.6282 | + | 6.05449i | 1.07240 | + | 0.330792i | ||||
\(336\) | 5.17859 | − | 2.49388i | 0.282515 | − | 0.136052i | ||||
\(337\) | −11.2595 | + | 19.5020i | −0.613343 | + | 1.06234i | 0.377330 | + | 0.926079i | \(0.376842\pi\) |
−0.990673 | + | 0.136262i | \(0.956491\pi\) | |||||||
\(338\) | 4.62738 | + | 8.01485i | 0.251696 | + | 0.435950i | ||||
\(339\) | −12.2132 | − | 8.32680i | −0.663329 | − | 0.452250i | ||||
\(340\) | 1.20195 | − | 5.26609i | 0.0651849 | − | 0.285594i | ||||
\(341\) | 8.38377 | + | 1.26365i | 0.454006 | + | 0.0684305i | ||||
\(342\) | −0.955414 | − | 1.19805i | −0.0516629 | − | 0.0647832i | ||||
\(343\) | −25.7074 | −1.38807 | ||||||||
\(344\) | 16.0480 | + | 6.61061i | 0.865249 | + | 0.356420i | ||||
\(345\) | 35.0450 | 1.88676 | ||||||||
\(346\) | 3.81037 | + | 4.77805i | 0.204847 | + | 0.256870i | ||||
\(347\) | −14.6277 | − | 2.20478i | −0.785259 | − | 0.118359i | −0.255840 | − | 0.966719i | \(-0.582352\pi\) |
−0.529419 | + | 0.848361i | \(0.677590\pi\) | |||||||
\(348\) | 2.49858 | − | 10.9470i | 0.133938 | − | 0.586820i | ||||
\(349\) | −18.2009 | − | 12.4092i | −0.974274 | − | 0.664249i | −0.0321396 | − | 0.999483i | \(-0.510232\pi\) |
−0.942135 | + | 0.335234i | \(0.891184\pi\) | |||||||
\(350\) | 17.5103 | + | 30.3287i | 0.935964 | + | 1.62114i | ||||
\(351\) | 2.64277 | − | 4.57740i | 0.141060 | − | 0.244324i | ||||
\(352\) | 16.0638 | − | 7.73592i | 0.856204 | − | 0.412326i | ||||
\(353\) | −21.3811 | − | 6.59521i | −1.13800 | − | 0.351027i | −0.332199 | − | 0.943209i | \(-0.607790\pi\) |
−0.805804 | + | 0.592182i | \(0.798267\pi\) | |||||||
\(354\) | −0.182842 | − | 2.43985i | −0.00971792 | − | 0.129677i | ||||
\(355\) | −5.23579 | − | 22.9395i | −0.277887 | − | 1.21750i | ||||
\(356\) | −6.19448 | + | 15.7833i | −0.328307 | + | 0.836513i | ||||
\(357\) | 0.600647 | − | 8.01507i | 0.0317896 | − | 0.424203i | ||||
\(358\) | 9.72645 | − | 1.46603i | 0.514059 | − | 0.0774819i | ||||
\(359\) | −20.3020 | − | 18.8375i | −1.07150 | − | 0.994207i | −0.0715058 | − | 0.997440i | \(-0.522780\pi\) |
−0.999995 | + | 0.00323291i | \(0.998971\pi\) | |||||||
\(360\) | −2.46389 | − | 1.18655i | −0.129858 | − | 0.0625364i | ||||
\(361\) | 29.2977 | − | 19.9748i | 1.54198 | − | 1.05131i | ||||
\(362\) | 2.05377 | + | 5.23292i | 0.107944 | + | 0.275036i | ||||
\(363\) | −2.96491 | + | 0.914554i | −0.155618 | + | 0.0480017i | ||||
\(364\) | −4.85003 | + | 4.50017i | −0.254211 | + | 0.235873i | ||||
\(365\) | −19.8379 | + | 24.8760i | −1.03836 | + | 1.30207i | ||||
\(366\) | −7.85383 | + | 9.84840i | −0.410526 | + | 0.514784i | ||||
\(367\) | −27.1552 | + | 25.1963i | −1.41749 | + | 1.31524i | −0.535040 | + | 0.844827i | \(0.679704\pi\) |
−0.882448 | + | 0.470410i | \(0.844106\pi\) | |||||||
\(368\) | −3.41159 | + | 1.05234i | −0.177841 | + | 0.0548568i | ||||
\(369\) | 0.116599 | + | 0.297089i | 0.00606990 | + | 0.0154659i | ||||
\(370\) | −15.0008 | + | 10.2273i | −0.779852 | + | 0.531694i | ||||
\(371\) | 52.6609 | + | 25.3601i | 2.73402 | + | 1.31663i | ||||
\(372\) | 5.12655 | + | 4.75674i | 0.265799 | + | 0.246626i | ||||
\(373\) | 24.3788 | − | 3.67452i | 1.26229 | − | 0.190259i | 0.516410 | − | 0.856342i | \(-0.327268\pi\) |
0.745878 | + | 0.666082i | \(0.232030\pi\) | |||||||
\(374\) | 0.177739 | − | 2.37176i | 0.00919066 | − | 0.122641i | ||||
\(375\) | −13.0462 | + | 33.2412i | −0.673703 | + | 1.71657i | ||||
\(376\) | 0.898721 | + | 3.93755i | 0.0463480 | + | 0.203064i | ||||
\(377\) | 0.357174 | + | 4.76615i | 0.0183954 | + | 0.245469i | ||||
\(378\) | 16.3918 | + | 5.05619i | 0.843101 | + | 0.260062i | ||||
\(379\) | −9.40397 | + | 4.52871i | −0.483050 | + | 0.232624i | −0.659528 | − | 0.751680i | \(-0.729244\pi\) |
0.176478 | + | 0.984305i | \(0.443529\pi\) | |||||||
\(380\) | 19.9306 | − | 34.5208i | 1.02242 | − | 1.77088i | ||||
\(381\) | 13.5552 | + | 23.4783i | 0.694455 | + | 1.20283i | ||||
\(382\) | 3.03954 | + | 2.07232i | 0.155516 | + | 0.106029i | ||||
\(383\) | −0.775365 | + | 3.39709i | −0.0396193 | + | 0.173583i | −0.990867 | − | 0.134846i | \(-0.956946\pi\) |
0.951247 | + | 0.308429i | \(0.0998033\pi\) | |||||||
\(384\) | 16.5375 | + | 2.49263i | 0.843926 | + | 0.127201i | ||||
\(385\) | −32.8167 | − | 41.1509i | −1.67249 | − | 2.09724i | ||||
\(386\) | 17.1310 | 0.871945 | ||||||||
\(387\) | 0.730399 | + | 1.58401i | 0.0371283 | + | 0.0805199i | ||||
\(388\) | −12.0865 | −0.613598 | ||||||||
\(389\) | −13.0768 | − | 16.3977i | −0.663018 | − | 0.831398i | 0.330650 | − | 0.943753i | \(-0.392732\pi\) |
−0.993668 | + | 0.112355i | \(0.964161\pi\) | |||||||
\(390\) | 5.79637 | + | 0.873662i | 0.293511 | + | 0.0442396i | ||||
\(391\) | −1.11093 | + | 4.86729i | −0.0561820 | + | 0.246149i | ||||
\(392\) | −27.9488 | − | 19.0552i | −1.41163 | − | 0.962432i | ||||
\(393\) | 9.69110 | + | 16.7855i | 0.488851 | + | 0.846715i | ||||
\(394\) | −8.56930 | + | 14.8425i | −0.431715 | + | 0.747752i | ||||
\(395\) | 9.39148 | − | 4.52270i | 0.472536 | − | 0.227562i | ||||
\(396\) | 1.07699 | + | 0.332206i | 0.0541206 | + | 0.0166940i | ||||
\(397\) | 1.67550 | + | 22.3580i | 0.0840911 | + | 1.12212i | 0.866441 | + | 0.499279i | \(0.166402\pi\) |
−0.782350 | + | 0.622839i | \(0.785979\pi\) | |||||||
\(398\) | 0.412446 | + | 1.80704i | 0.0206740 | + | 0.0905789i | ||||
\(399\) | 21.6699 | − | 55.2140i | 1.08485 | − | 2.76416i | ||||
\(400\) | 0.539066 | − | 7.19334i | 0.0269533 | − | 0.359667i | ||||
\(401\) | −23.1323 | + | 3.48663i | −1.15517 | + | 0.174114i | −0.698559 | − | 0.715552i | \(-0.746175\pi\) |
−0.456612 | + | 0.889666i | \(0.650937\pi\) | |||||||
\(402\) | 5.46885 | + | 5.07435i | 0.272761 | + | 0.253085i | ||||
\(403\) | −2.68202 | − | 1.29159i | −0.133601 | − | 0.0643389i | ||||
\(404\) | 13.8278 | − | 9.42766i | 0.687961 | − | 0.469044i | ||||
\(405\) | 13.8036 | + | 35.1710i | 0.685906 | + | 1.74766i | ||||
\(406\) | −14.8225 | + | 4.57213i | −0.735627 | + | 0.226911i | ||||
\(407\) | 13.3735 | − | 12.4088i | 0.662901 | − | 0.615082i | ||||
\(408\) | 2.98235 | − | 3.73975i | 0.147648 | − | 0.185145i | ||||
\(409\) | −3.12900 | + | 3.92364i | −0.154719 | + | 0.194011i | −0.853150 | − | 0.521666i | \(-0.825311\pi\) |
0.698431 | + | 0.715678i | \(0.253882\pi\) | |||||||
\(410\) | 2.66678 | − | 2.47441i | 0.131703 | − | 0.122203i | ||||
\(411\) | 29.5082 | − | 9.10209i | 1.45553 | − | 0.448973i | ||||
\(412\) | −0.429545 | − | 1.09446i | −0.0211622 | − | 0.0539204i | ||||
\(413\) | 6.37312 | − | 4.34512i | 0.313601 | − | 0.213809i | ||||
\(414\) | 0.934010 | + | 0.449795i | 0.0459041 | + | 0.0221062i | ||||
\(415\) | 13.3403 | + | 12.3780i | 0.654852 | + | 0.607614i | ||||
\(416\) | −6.19008 | + | 0.933004i | −0.303494 | + | 0.0457443i | ||||
\(417\) | −2.62387 | + | 35.0131i | −0.128491 | + | 1.71460i | ||||
\(418\) | 6.41240 | − | 16.3385i | 0.313641 | − | 0.799143i | ||||
\(419\) | −1.70964 | − | 7.49044i | −0.0835215 | − | 0.365932i | 0.915845 | − | 0.401533i | \(-0.131523\pi\) |
−0.999366 | + | 0.0356013i | \(0.988665\pi\) | |||||||
\(420\) | −3.24440 | − | 43.2935i | −0.158311 | − | 2.11251i | ||||
\(421\) | 2.45753 | + | 0.758047i | 0.119773 | + | 0.0369450i | 0.354062 | − | 0.935222i | \(-0.384800\pi\) |
−0.234289 | + | 0.972167i | \(0.575276\pi\) | |||||||
\(422\) | 2.93557 | − | 1.41370i | 0.142901 | − | 0.0688176i | ||||
\(423\) | −0.202951 | + | 0.351521i | −0.00986779 | + | 0.0170915i | ||||
\(424\) | 17.3922 | + | 30.1241i | 0.844638 | + | 1.46296i | ||||
\(425\) | −8.33439 | − | 5.68229i | −0.404277 | − | 0.275631i | ||||
\(426\) | 1.90164 | − | 8.33161i | 0.0921345 | − | 0.403668i | ||||
\(427\) | −39.2682 | − | 5.91873i | −1.90032 | − | 0.286428i | ||||
\(428\) | −8.71431 | − | 10.9274i | −0.421222 | − | 0.528196i | ||||
\(429\) | −5.89030 | −0.284387 | ||||||||
\(430\) | 13.7659 | − | 14.3466i | 0.663852 | − | 0.691855i | ||||
\(431\) | 17.1735 | 0.827219 | 0.413610 | − | 0.910454i | \(-0.364268\pi\) | ||||
0.413610 | + | 0.910454i | \(0.364268\pi\) | |||||||
\(432\) | −2.20300 | − | 2.76247i | −0.105992 | − | 0.132910i | ||||
\(433\) | 9.27061 | + | 1.39732i | 0.445517 | + | 0.0671509i | 0.367970 | − | 0.929838i | \(-0.380053\pi\) |
0.0775473 | + | 0.996989i | \(0.475291\pi\) | |||||||
\(434\) | 2.14979 | − | 9.41885i | 0.103193 | − | 0.452119i | ||||
\(435\) | −25.9131 | − | 17.6672i | −1.24244 | − | 0.847079i | ||||
\(436\) | 7.80715 | + | 13.5224i | 0.373895 | + | 0.647605i | ||||
\(437\) | −18.4213 | + | 31.9066i | −0.881209 | + | 1.52630i | ||||
\(438\) | −10.4117 | + | 5.01401i | −0.497490 | + | 0.239579i | ||||
\(439\) | −15.9720 | − | 4.92670i | −0.762301 | − | 0.235139i | −0.110858 | − | 0.993836i | \(-0.535360\pi\) |
−0.651443 | + | 0.758698i | \(0.725836\pi\) | |||||||
\(440\) | −2.34081 | − | 31.2360i | −0.111594 | − | 1.48912i | ||||
\(441\) | −0.756476 | − | 3.31434i | −0.0360227 | − | 0.157826i | ||||
\(442\) | −0.305085 | + | 0.777344i | −0.0145114 | + | 0.0369745i | ||||
\(443\) | 1.70170 | − | 22.7077i | 0.0808504 | − | 1.07887i | −0.798278 | − | 0.602289i | \(-0.794255\pi\) |
0.879128 | − | 0.476585i | \(-0.158125\pi\) | |||||||
\(444\) | 14.8801 | − | 2.24282i | 0.706180 | − | 0.106439i | ||||
\(445\) | 34.7162 | + | 32.2120i | 1.64571 | + | 1.52699i | ||||
\(446\) | −16.5230 | − | 7.95705i | −0.782386 | − | 0.376777i | ||||
\(447\) | −28.7398 | + | 19.5945i | −1.35935 | + | 0.926787i | ||||
\(448\) | −5.09849 | − | 12.9907i | −0.240881 | − | 0.613755i | ||||
\(449\) | −36.5199 | + | 11.2649i | −1.72348 | + | 0.531623i | −0.989117 | − | 0.147134i | \(-0.952995\pi\) |
−0.734363 | + | 0.678757i | \(0.762519\pi\) | |||||||
\(450\) | −1.53543 | + | 1.42467i | −0.0723808 | + | 0.0671596i | ||||
\(451\) | −2.27922 | + | 2.85805i | −0.107324 | + | 0.134580i | ||||
\(452\) | 7.09180 | − | 8.89283i | 0.333570 | − | 0.418284i | ||||
\(453\) | −11.3243 | + | 10.5074i | −0.532060 | + | 0.493680i | ||||
\(454\) | 0.701162 | − | 0.216280i | 0.0329072 | − | 0.0101505i | ||||
\(455\) | 6.75149 | + | 17.2025i | 0.316515 | + | 0.806466i | ||||
\(456\) | 29.1655 | − | 19.8847i | 1.36580 | − | 0.931187i | ||||
\(457\) | 31.9108 | + | 15.3674i | 1.49272 | + | 0.718858i | 0.989397 | − | 0.145238i | \(-0.0463949\pi\) |
0.503327 | + | 0.864096i | \(0.332109\pi\) | |||||||
\(458\) | 6.92702 | + | 6.42733i | 0.323678 | + | 0.300330i | ||||
\(459\) | −4.88572 | + | 0.736403i | −0.228046 | + | 0.0343724i | ||||
\(460\) | −2.01523 | + | 26.8914i | −0.0939608 | + | 1.25382i | ||||
\(461\) | −12.9952 | + | 33.1111i | −0.605245 | + | 1.54214i | 0.218892 | + | 0.975749i | \(0.429756\pi\) |
−0.824137 | + | 0.566391i | \(0.808339\pi\) | |||||||
\(462\) | −4.25384 | − | 18.6373i | −0.197907 | − | 0.867086i | ||||
\(463\) | −0.327236 | − | 4.36666i | −0.0152079 | − | 0.202936i | −0.999632 | − | 0.0271257i | \(-0.991365\pi\) |
0.984424 | − | 0.175810i | \(-0.0562545\pi\) | |||||||
\(464\) | 3.05312 | + | 0.941763i | 0.141738 | + | 0.0437203i | ||||
\(465\) | 17.5992 | − | 8.47531i | 0.816141 | − | 0.393033i | ||||
\(466\) | 0.626362 | − | 1.08489i | 0.0290157 | − | 0.0502566i | ||||
\(467\) | 1.98855 | + | 3.44428i | 0.0920193 | + | 0.159382i | 0.908361 | − | 0.418188i | \(-0.137335\pi\) |
−0.816341 | + | 0.577570i | \(0.804001\pi\) | |||||||
\(468\) | −0.326954 | − | 0.222914i | −0.0151135 | − | 0.0103042i | ||||
\(469\) | −5.23358 | + | 22.9298i | −0.241664 | + | 1.05880i | ||||
\(470\) | 4.57508 | + | 0.689582i | 0.211033 | + | 0.0318081i | ||||
\(471\) | 2.30184 | + | 2.88642i | 0.106063 | + | 0.132999i | ||||
\(472\) | 4.59041 | 0.211291 | ||||||||
\(473\) | −11.5296 | + | 16.3169i | −0.530133 | + | 0.750253i | ||||
\(474\) | 3.78590 | 0.173892 | ||||||||
\(475\) | −46.4122 | − | 58.1991i | −2.12954 | − | 2.67036i | ||||
\(476\) | 6.11575 | + | 0.921800i | 0.280315 | + | 0.0422506i | ||||
\(477\) | −0.777895 | + | 3.40818i | −0.0356174 | + | 0.156050i | ||||
\(478\) | −2.51307 | − | 1.71338i | −0.114945 | − | 0.0783683i | ||||
\(479\) | 4.58743 | + | 7.94567i | 0.209605 | + | 0.363047i | 0.951590 | − | 0.307370i | \(-0.0994488\pi\) |
−0.741985 | + | 0.670416i | \(0.766115\pi\) | |||||||
\(480\) | 20.5387 | − | 35.5741i | 0.937460 | − | 1.62373i | ||||
\(481\) | −5.77107 | + | 2.77920i | −0.263138 | + | 0.126721i | ||||
\(482\) | 2.02916 | + | 0.625914i | 0.0924258 | + | 0.0285096i | ||||
\(483\) | 2.99870 | + | 40.0149i | 0.136446 | + | 1.82074i | ||||
\(484\) | −0.531279 | − | 2.32769i | −0.0241491 | − | 0.105804i | ||||
\(485\) | −12.3336 | + | 31.4255i | −0.560040 | + | 1.42696i | ||||
\(486\) | −0.160801 | + | 2.14574i | −0.00729407 | + | 0.0973326i | ||||
\(487\) | 30.7898 | − | 4.64081i | 1.39522 | − | 0.210295i | 0.591979 | − | 0.805953i | \(-0.298347\pi\) |
0.803238 | + | 0.595658i | \(0.203109\pi\) | |||||||
\(488\) | −17.3244 | − | 16.0747i | −0.784241 | − | 0.727669i | ||||
\(489\) | 21.2664 | + | 10.2414i | 0.961701 | + | 0.463131i | ||||
\(490\) | −32.0174 | + | 21.8291i | −1.44640 | + | 0.986139i | ||||
\(491\) | −8.95562 | − | 22.8185i | −0.404161 | − | 1.02979i | −0.977588 | − | 0.210529i | \(-0.932481\pi\) |
0.573426 | − | 0.819257i | \(-0.305614\pi\) | |||||||
\(492\) | −2.88133 | + | 0.888774i | −0.129901 | + | 0.0400690i | ||||
\(493\) | 3.27519 | − | 3.03893i | 0.147507 | − | 0.136867i | ||||
\(494\) | −3.84226 | + | 4.81804i | −0.172871 | + | 0.216774i | ||||
\(495\) | 1.96276 | − | 2.46122i | 0.0882194 | − | 0.110624i | ||||
\(496\) | −1.45876 | + | 1.35353i | −0.0655002 | + | 0.0607753i | ||||
\(497\) | 25.7447 | − | 7.94118i | 1.15481 | − | 0.356210i | ||||
\(498\) | 2.41477 | + | 6.15273i | 0.108208 | + | 0.275711i | ||||
\(499\) | −36.3046 | + | 24.7521i | −1.62522 | + | 1.10806i | −0.710712 | + | 0.703483i | \(0.751627\pi\) |
−0.914506 | + | 0.404572i | \(0.867420\pi\) | |||||||
\(500\) | −24.7571 | − | 11.9224i | −1.10717 | − | 0.533185i | ||||
\(501\) | 26.4357 | + | 24.5287i | 1.18106 | + | 1.09586i | ||||
\(502\) | −22.3369 | + | 3.36675i | −0.996947 | + | 0.150266i | ||||
\(503\) | −0.588888 | + | 7.85816i | −0.0262572 | + | 0.350378i | 0.968566 | + | 0.248757i | \(0.0800220\pi\) |
−0.994823 | + | 0.101621i | \(0.967597\pi\) | |||||||
\(504\) | 1.14399 | − | 2.91483i | 0.0509573 | − | 0.129837i | ||||
\(505\) | −10.4019 | − | 45.5735i | −0.462877 | − | 2.02799i | ||||
\(506\) | 0.887354 | + | 11.8409i | 0.0394477 | + | 0.526393i | ||||
\(507\) | −20.4737 | − | 6.31531i | −0.909270 | − | 0.280473i | ||||
\(508\) | −18.7953 | + | 9.05136i | −0.833908 | + | 0.401589i | ||||
\(509\) | 21.8510 | − | 37.8470i | 0.968527 | − | 1.67754i | 0.268704 | − | 0.963223i | \(-0.413405\pi\) |
0.699823 | − | 0.714316i | \(-0.253262\pi\) | |||||||
\(510\) | −2.73982 | − | 4.74550i | −0.121321 | − | 0.210134i | ||||
\(511\) | −30.1012 | − | 20.5227i | −1.33160 | − | 0.907870i | ||||
\(512\) | −1.77356 | + | 7.77048i | −0.0783810 | + | 0.343410i | ||||
\(513\) | −36.0548 | − | 5.43439i | −1.59186 | − | 0.239934i | ||||
\(514\) | 5.93026 | + | 7.43631i | 0.261573 | + | 0.328002i | ||||
\(515\) | −3.28399 | −0.144710 | ||||||||
\(516\) | −15.4394 | + | 5.76304i | −0.679681 | + | 0.253704i | ||||
\(517\) | −4.64922 | −0.204473 | ||||||||
\(518\) | −12.9613 | − | 16.2530i | −0.569487 | − | 0.714114i | ||||
\(519\) | −13.9903 | − | 2.10870i | −0.614108 | − | 0.0925618i | ||||
\(520\) | −2.44724 | + | 10.7221i | −0.107319 | + | 0.470194i | ||||
\(521\) | 10.5936 | + | 7.22257i | 0.464113 | + | 0.316427i | 0.772702 | − | 0.634769i | \(-0.218905\pi\) |
−0.308590 | + | 0.951195i | \(0.599857\pi\) | |||||||
\(522\) | −0.463873 | − | 0.803451i | −0.0203032 | − | 0.0351661i | ||||
\(523\) | 8.87522 | − | 15.3723i | 0.388086 | − | 0.672185i | −0.604106 | − | 0.796904i | \(-0.706470\pi\) |
0.992192 | + | 0.124719i | \(0.0398030\pi\) | |||||||
\(524\) | −13.4374 | + | 6.47113i | −0.587017 | + | 0.282693i | ||||
\(525\) | −77.4739 | − | 23.8975i | −3.38124 | − | 1.04297i | ||||
\(526\) | −0.459315 | − | 6.12913i | −0.0200271 | − | 0.267243i | ||||
\(527\) | 0.619214 | + | 2.71296i | 0.0269734 | + | 0.118178i | ||||
\(528\) | −1.43857 | + | 3.66543i | −0.0626059 | + | 0.159517i | ||||
\(529\) | 0.143830 | − | 1.91927i | 0.00625346 | − | 0.0834467i | ||||
\(530\) | 39.4029 | − | 5.93903i | 1.71155 | − | 0.257975i | ||||
\(531\) | 0.338184 | + | 0.313789i | 0.0146759 | + | 0.0136173i | ||||
\(532\) | 41.1218 | + | 19.8032i | 1.78286 | + | 0.858579i | ||||
\(533\) | 1.06047 | − | 0.723014i | 0.0459339 | − | 0.0313172i | ||||
\(534\) | 6.28407 | + | 16.0116i | 0.271938 | + | 0.692888i | ||||
\(535\) | −37.3043 | + | 11.5068i | −1.61280 | + | 0.497484i | ||||
\(536\) | −10.2605 | + | 9.52034i | −0.443185 | + | 0.411216i | ||||
\(537\) | −14.1981 | + | 17.8038i | −0.612693 | + | 0.768293i | ||||
\(538\) | 8.02884 | − | 10.0678i | 0.346148 | − | 0.434056i | ||||
\(539\) | 28.5443 | − | 26.4852i | 1.22949 | − | 1.14080i | ||||
\(540\) | −25.5027 | + | 7.86653i | −1.09746 | + | 0.338522i | ||||
\(541\) | 6.99442 | + | 17.8215i | 0.300714 | + | 0.766206i | 0.998742 | + | 0.0501362i | \(0.0159655\pi\) |
−0.698029 | + | 0.716070i | \(0.745939\pi\) | |||||||
\(542\) | −3.58172 | + | 2.44198i | −0.153848 | + | 0.104892i | ||||
\(543\) | −11.7255 | − | 5.64670i | −0.503189 | − | 0.242323i | ||||
\(544\) | 4.28970 | + | 3.98026i | 0.183919 | + | 0.170652i | ||||
\(545\) | 43.1257 | − | 6.50015i | 1.84730 | − | 0.278436i | ||||
\(546\) | −0.501581 | + | 6.69314i | −0.0214657 | + | 0.286440i | ||||
\(547\) | 3.90747 | − | 9.95608i | 0.167072 | − | 0.425691i | −0.822678 | − | 0.568508i | \(-0.807521\pi\) |
0.989749 | + | 0.142817i | \(0.0456160\pi\) | |||||||
\(548\) | 5.28755 | + | 23.1663i | 0.225873 | + | 0.989614i | ||||
\(549\) | −0.177495 | − | 2.36851i | −0.00757531 | − | 0.101085i | ||||
\(550\) | −22.9255 | − | 7.07158i | −0.977547 | − | 0.301533i | ||||
\(551\) | 29.7062 | − | 14.3057i | 1.26553 | − | 0.609445i | ||||
\(552\) | −11.9403 | + | 20.6811i | −0.508211 | + | 0.880247i | ||||
\(553\) | 5.96768 | + | 10.3363i | 0.253772 | + | 0.439546i | ||||
\(554\) | 10.0955 | + | 6.88297i | 0.428915 | + | 0.292429i | ||||
\(555\) | 9.35291 | − | 40.9778i | 0.397009 | − | 1.73941i | ||||
\(556\) | −26.7160 | − | 4.02679i | −1.13301 | − | 0.170774i | ||||
\(557\) | 6.94825 | + | 8.71283i | 0.294407 | + | 0.369174i | 0.906932 | − | 0.421276i | \(-0.138418\pi\) |
−0.612526 | + | 0.790451i | \(0.709846\pi\) | |||||||
\(558\) | 0.577826 | 0.0244613 | ||||||||
\(559\) | 5.55688 | − | 4.28121i | 0.235031 | − | 0.181076i | ||||
\(560\) | 12.3537 | 0.522039 | ||||||||
\(561\) | 3.43309 | + | 4.30495i | 0.144945 | + | 0.181755i | ||||
\(562\) | 16.4883 | + | 2.48521i | 0.695516 | + | 0.104832i | ||||
\(563\) | 1.60910 | − | 7.04992i | 0.0678154 | − | 0.297119i | −0.929635 | − | 0.368482i | \(-0.879878\pi\) |
0.997450 | + | 0.0713629i | \(0.0227348\pi\) | |||||||
\(564\) | −3.16854 | − | 2.16027i | −0.133420 | − | 0.0909640i | ||||
\(565\) | −15.8850 | − | 27.5137i | −0.668289 | − | 1.15751i | ||||
\(566\) | −2.02808 | + | 3.51274i | −0.0852467 | + | 0.147652i | ||||
\(567\) | −38.9776 | + | 18.7706i | −1.63691 | + | 0.788292i | ||||
\(568\) | 15.3212 | + | 4.72596i | 0.642863 | + | 0.198297i | ||||
\(569\) | −0.131000 | − | 1.74807i | −0.00549180 | − | 0.0732830i | 0.993784 | − | 0.111321i | \(-0.0355082\pi\) |
−0.999276 | + | 0.0380381i | \(0.987889\pi\) | |||||||
\(570\) | −8.99824 | − | 39.4239i | −0.376895 | − | 1.65128i | ||||
\(571\) | 14.9935 | − | 38.2029i | 0.627460 | − | 1.59874i | −0.163274 | − | 0.986581i | \(-0.552206\pi\) |
0.790734 | − | 0.612160i | \(-0.209699\pi\) | |||||||
\(572\) | 0.338717 | − | 4.51986i | 0.0141625 | − | 0.188985i | ||||
\(573\) | −8.42155 | + | 1.26934i | −0.351815 | + | 0.0530276i | ||||
\(574\) | 3.05351 | + | 2.83324i | 0.127451 | + | 0.118257i | ||||
\(575\) | 45.3725 | + | 21.8502i | 1.89216 | + | 0.911218i | ||||
\(576\) | 0.689637 | − | 0.470187i | 0.0287349 | − | 0.0195911i | ||||
\(577\) | −2.69623 | − | 6.86989i | −0.112246 | − | 0.285997i | 0.863702 | − | 0.504003i | \(-0.168140\pi\) |
−0.975947 | + | 0.218006i | \(0.930045\pi\) | |||||||
\(578\) | 0.745940 | − | 0.230092i | 0.0310270 | − | 0.00957056i | ||||
\(579\) | −29.0727 | + | 26.9756i | −1.20822 | + | 1.12107i | ||||
\(580\) | 15.0469 | − | 18.8682i | 0.624788 | − | 0.783459i | ||||
\(581\) | −12.9919 | + | 16.2914i | −0.538996 | + | 0.675880i | ||||
\(582\) | −8.98816 | + | 8.33979i | −0.372571 | + | 0.345695i | ||||
\(583\) | −38.2625 | + | 11.8024i | −1.58467 | + | 0.488807i | ||||
\(584\) | −7.92104 | − | 20.1825i | −0.327775 | − | 0.835157i | ||||
\(585\) | −0.913226 | + | 0.622627i | −0.0377573 | + | 0.0257425i | ||||
\(586\) | 8.07030 | + | 3.88645i | 0.333381 | + | 0.160548i | ||||
\(587\) | −1.68070 | − | 1.55947i | −0.0693701 | − | 0.0643660i | 0.644726 | − | 0.764414i | \(-0.276972\pi\) |
−0.714096 | + | 0.700048i | \(0.753162\pi\) | |||||||
\(588\) | 31.7600 | − | 4.78704i | 1.30976 | − | 0.197414i | ||||
\(589\) | −1.53462 | + | 20.4781i | −0.0632329 | + | 0.843785i | ||||
\(590\) | 1.92120 | − | 4.89514i | 0.0790946 | − | 0.201530i | ||||
\(591\) | −8.82906 | − | 38.6826i | −0.363179 | − | 1.59119i | ||||
\(592\) | 0.319991 | + | 4.26999i | 0.0131516 | + | 0.175495i | ||||
\(593\) | 28.1714 | + | 8.68973i | 1.15686 | + | 0.356845i | 0.813050 | − | 0.582194i | \(-0.197806\pi\) |
0.343812 | + | 0.939039i | \(0.388282\pi\) | |||||||
\(594\) | −10.5877 | + | 5.09878i | −0.434420 | + | 0.209206i | ||||
\(595\) | 8.63751 | − | 14.9606i | 0.354104 | − | 0.613325i | ||||
\(596\) | −13.3830 | − | 23.1800i | −0.548188 | − | 0.949489i | ||||
\(597\) | −3.54544 | − | 2.41724i | −0.145105 | − | 0.0989310i | ||||
\(598\) | 0.927701 | − | 4.06452i | 0.0379365 | − | 0.166211i | ||||
\(599\) | 40.5961 | + | 6.11888i | 1.65871 | + | 0.250011i | 0.910518 | − | 0.413468i | \(-0.135683\pi\) |
0.748195 | + | 0.663479i | \(0.230921\pi\) | |||||||
\(600\) | −30.0834 | − | 37.7233i | −1.22815 | − | 1.54005i | ||||
\(601\) | 41.2062 | 1.68084 | 0.840419 | − | 0.541938i | \(-0.182309\pi\) | ||||
0.840419 | + | 0.541938i | \(0.182309\pi\) | |||||||
\(602\) | 17.5591 | + | 14.4905i | 0.715655 | + | 0.590590i | ||||
\(603\) | −1.40669 | −0.0572850 | ||||||||
\(604\) | −7.41154 | − | 9.29378i | −0.301571 | − | 0.378158i | ||||
\(605\) | −6.59425 | − | 0.993923i | −0.268094 | − | 0.0404087i | ||||
\(606\) | 3.77795 | − | 16.5523i | 0.153469 | − | 0.672390i | ||||
\(607\) | 29.9863 | + | 20.4443i | 1.21711 | + | 0.829809i | 0.989583 | − | 0.143964i | \(-0.0459849\pi\) |
0.227523 | + | 0.973773i | \(0.426937\pi\) | |||||||
\(608\) | 21.5922 | + | 37.3988i | 0.875679 | + | 1.51672i | ||||
\(609\) | 17.9554 | − | 31.0997i | 0.727590 | − | 1.26022i | ||||
\(610\) | −24.3926 | + | 11.7468i | −0.987626 | + | 0.475615i | ||||
\(611\) | 1.55984 | + | 0.481146i | 0.0631043 | + | 0.0194651i | ||||
\(612\) | 0.0276436 | + | 0.368878i | 0.00111743 | + | 0.0149110i | ||||
\(613\) | −2.28135 | − | 9.99525i | −0.0921429 | − | 0.403705i | 0.907731 | − | 0.419552i | \(-0.137813\pi\) |
−0.999874 | + | 0.0158470i | \(0.994956\pi\) | |||||||
\(614\) | 5.37454 | − | 13.6941i | 0.216899 | − | 0.552650i | ||||
\(615\) | −0.629385 | + | 8.39857i | −0.0253793 | + | 0.338663i | ||||
\(616\) | 35.4654 | − | 5.34555i | 1.42894 | − | 0.215378i | ||||
\(617\) | −8.66733 | − | 8.04211i | −0.348934 | − | 0.323763i | 0.486161 | − | 0.873869i | \(-0.338397\pi\) |
−0.835095 | + | 0.550106i | \(0.814587\pi\) | |||||||
\(618\) | −1.07462 | − | 0.517512i | −0.0432277 | − | 0.0208174i | ||||
\(619\) | −12.3628 | + | 8.42882i | −0.496903 | + | 0.338783i | −0.785700 | − | 0.618607i | \(-0.787697\pi\) |
0.288797 | + | 0.957390i | \(0.406745\pi\) | |||||||
\(620\) | 5.49141 | + | 13.9919i | 0.220541 | + | 0.561928i | ||||
\(621\) | 23.5714 | − | 7.27080i | 0.945886 | − | 0.291767i | ||||
\(622\) | 3.66375 | − | 3.39946i | 0.146903 | − | 0.136306i | ||||
\(623\) | −33.8095 | + | 42.3958i | −1.35455 | + | 1.69855i | ||||
\(624\) | 0.861983 | − | 1.08089i | 0.0345069 | − | 0.0432703i | ||||
\(625\) | −19.2900 | + | 17.8985i | −0.771602 | + | 0.715942i | ||||
\(626\) | −17.4852 | + | 5.39346i | −0.698847 | + | 0.215566i | ||||
\(627\) | 14.8453 | + | 37.8252i | 0.592864 | + | 1.51059i | ||||
\(628\) | −2.34723 | + | 1.60031i | −0.0936646 | + | 0.0638594i | ||||
\(629\) | 5.39478 | + | 2.59799i | 0.215104 | + | 0.103589i | ||||
\(630\) | −2.62954 | − | 2.43986i | −0.104764 | − | 0.0972063i | ||||
\(631\) | 18.0259 | − | 2.71697i | 0.717601 | − | 0.108161i | 0.219916 | − | 0.975519i | \(-0.429422\pi\) |
0.497685 | + | 0.867358i | \(0.334184\pi\) | |||||||
\(632\) | −0.530807 | + | 7.08313i | −0.0211144 | + | 0.281752i | ||||
\(633\) | −2.75581 | + | 7.02169i | −0.109534 | + | 0.279087i | ||||
\(634\) | −5.24241 | − | 22.9685i | −0.208203 | − | 0.912195i | ||||
\(635\) | 4.35439 | + | 58.1053i | 0.172799 | + | 2.30584i | ||||
\(636\) | −31.5607 | − | 9.73520i | −1.25146 | − | 0.386026i | ||||
\(637\) | −12.3177 | + | 5.93189i | −0.488045 | + | 0.235030i | ||||
\(638\) | 5.31323 | − | 9.20279i | 0.210353 | − | 0.364342i | ||||
\(639\) | 0.805685 | + | 1.39549i | 0.0318724 | + | 0.0552046i | ||||
\(640\) | 29.6995 | + | 20.2487i | 1.17397 | + | 0.800402i | ||||
\(641\) | 0.913477 | − | 4.00220i | 0.0360802 | − | 0.158078i | −0.953679 | − | 0.300827i | \(-0.902737\pi\) |
0.989759 | + | 0.142750i | \(0.0455944\pi\) | |||||||
\(642\) | −14.0204 | − | 2.11324i | −0.553343 | − | 0.0834030i | ||||
\(643\) | 10.9321 | + | 13.7084i | 0.431120 | + | 0.540607i | 0.949179 | − | 0.314738i | \(-0.101917\pi\) |
−0.518059 | + | 0.855345i | \(0.673345\pi\) | |||||||
\(644\) | −30.8775 | −1.21674 | ||||||||
\(645\) | −0.770843 | + | 46.0241i | −0.0303519 | + | 1.81220i | ||||
\(646\) | 5.76070 | 0.226652 | ||||||||
\(647\) | 28.7966 | + | 36.1098i | 1.13211 | + | 1.41962i | 0.893819 | + | 0.448428i | \(0.148016\pi\) |
0.238291 | + | 0.971194i | \(0.423413\pi\) | |||||||
\(648\) | −25.4585 | − | 3.83725i | −1.00010 | − | 0.150741i | ||||
\(649\) | −1.17584 | + | 5.15170i | −0.0461558 | + | 0.202222i | ||||
\(650\) | 6.95979 | + | 4.74510i | 0.272985 | + | 0.186118i | ||||
\(651\) | 11.1831 | + | 19.3698i | 0.438302 | + | 0.759161i | ||||
\(652\) | −9.08152 | + | 15.7296i | −0.355660 | + | 0.616021i | ||||
\(653\) | 12.2520 | − | 5.90027i | 0.479459 | − | 0.230895i | −0.178513 | − | 0.983938i | \(-0.557129\pi\) |
0.657972 | + | 0.753042i | \(0.271414\pi\) | |||||||
\(654\) | 15.1364 | + | 4.66896i | 0.591880 | + | 0.182571i | ||||
\(655\) | 3.11310 | + | 41.5415i | 0.121639 | + | 1.62316i | ||||
\(656\) | −0.190923 | − | 0.836489i | −0.00745430 | − | 0.0326594i | ||||
\(657\) | 0.796065 | − | 2.02834i | 0.0310575 | − | 0.0791331i | ||||
\(658\) | −0.395899 | + | 5.28290i | −0.0154337 | + | 0.205949i | ||||
\(659\) | 8.15715 | − | 1.22949i | 0.317757 | − | 0.0478942i | 0.0117728 | − | 0.999931i | \(-0.496253\pi\) |
0.305985 | + | 0.952036i | \(0.401014\pi\) | |||||||
\(660\) | 21.8025 | + | 20.2297i | 0.848660 | + | 0.787441i | ||||
\(661\) | −16.0207 | − | 7.71515i | −0.623132 | − | 0.300084i | 0.0955489 | − | 0.995425i | \(-0.469539\pi\) |
−0.718681 | + | 0.695340i | \(0.755254\pi\) | |||||||
\(662\) | 10.1542 | − | 6.92305i | 0.394656 | − | 0.269072i | ||||
\(663\) | −0.706300 | − | 1.79962i | −0.0274304 | − | 0.0698916i | ||||
\(664\) | −11.8499 | + | 3.65520i | −0.459864 | + | 0.141849i | ||||
\(665\) | 93.4520 | − | 86.7108i | 3.62391 | − | 3.36250i | ||||
\(666\) | 0.775212 | − | 0.972085i | 0.0300389 | − | 0.0376675i | ||||
\(667\) | −13.9074 | + | 17.4393i | −0.538496 | + | 0.675253i | ||||
\(668\) | −20.3420 | + | 18.8747i | −0.787057 | + | 0.730283i | ||||
\(669\) | 40.5705 | − | 12.5143i | 1.56855 | − | 0.483833i | ||||
\(670\) | 5.85807 | + | 14.9261i | 0.226317 | + | 0.576646i | ||||
\(671\) | 22.4779 | − | 15.3252i | 0.867751 | − | 0.591623i | ||||
\(672\) | 42.3765 | + | 20.4074i | 1.63471 | + | 0.787234i | ||||
\(673\) | −27.7337 | − | 25.7331i | −1.06906 | − | 0.991940i | −0.0690728 | − | 0.997612i | \(-0.522004\pi\) |
−0.999984 | + | 0.00567195i | \(0.998195\pi\) | |||||||
\(674\) | −17.3824 | + | 2.61998i | −0.669546 | + | 0.100918i | ||||
\(675\) | −3.72452 | + | 49.7002i | −0.143357 | + | 1.91296i | ||||
\(676\) | 6.02331 | − | 15.3471i | 0.231666 | − | 0.590275i | ||||
\(677\) | −7.73550 | − | 33.8915i | −0.297300 | − | 1.30255i | −0.874131 | − | 0.485691i | \(-0.838568\pi\) |
0.576831 | − | 0.816863i | \(-0.304289\pi\) | |||||||
\(678\) | −0.862300 | − | 11.5066i | −0.0331164 | − | 0.441908i | ||||
\(679\) | −36.9374 | − | 11.3937i | −1.41753 | − | 0.437250i | ||||
\(680\) | 9.26262 | − | 4.46064i | 0.355205 | − | 0.171058i | ||||
\(681\) | −0.849362 | + | 1.47114i | −0.0325476 | + | 0.0563741i | ||||
\(682\) | 3.30923 | + | 5.73176i | 0.126717 | + | 0.219480i | ||||
\(683\) | 13.7817 | + | 9.39619i | 0.527341 | + | 0.359535i | 0.797537 | − | 0.603270i | \(-0.206136\pi\) |
−0.270195 | + | 0.962805i | \(0.587088\pi\) | |||||||
\(684\) | −0.607442 | + | 2.66138i | −0.0232261 | + | 0.101760i | ||||
\(685\) | 65.6292 | + | 9.89200i | 2.50756 | + | 0.377954i | ||||
\(686\) | −12.5120 | − | 15.6896i | −0.477711 | − | 0.599030i | ||||
\(687\) | −21.8766 | −0.834645 | ||||||||
\(688\) | −1.30698 | − | 4.50354i | −0.0498280 | − | 0.171696i | ||||
\(689\) | 14.0587 | 0.535594 | ||||||||
\(690\) | 17.0567 | + | 21.3885i | 0.649338 | + | 0.814245i | ||||
\(691\) | 39.9629 | + | 6.02344i | 1.52026 | + | 0.229142i | 0.855456 | − | 0.517876i | \(-0.173277\pi\) |
0.664804 | + | 0.747018i | \(0.268515\pi\) | |||||||
\(692\) | 2.42259 | − | 10.6141i | 0.0920932 | − | 0.403487i | ||||
\(693\) | 2.97821 | + | 2.03051i | 0.113133 | + | 0.0771326i | ||||
\(694\) | −5.77385 | − | 10.0006i | −0.219172 | − | 0.379618i | ||||
\(695\) | −37.7321 | + | 65.3540i | −1.43126 | + | 2.47902i | ||||
\(696\) | 19.2549 | − | 9.27265i | 0.729854 | − | 0.351479i | ||||
\(697\) | −1.14650 | − | 0.353648i | −0.0434267 | − | 0.0133954i | ||||
\(698\) | −1.28506 | − | 17.1480i | −0.0486403 | − | 0.649060i | ||||
\(699\) | 0.645349 | + | 2.82746i | 0.0244093 | + | 0.106944i | ||||
\(700\) | 22.7926 | − | 58.0746i | 0.861479 | − | 2.19501i | ||||
\(701\) | −3.10221 | + | 41.3961i | −0.117169 | + | 1.56351i | 0.560509 | + | 0.828149i | \(0.310606\pi\) |
−0.677677 | + | 0.735359i | \(0.737013\pi\) | |||||||
\(702\) | 4.07991 | − | 0.614948i | 0.153986 | − | 0.0232097i | ||||
\(703\) | 32.3917 | + | 30.0551i | 1.22168 | + | 1.13355i | ||||
\(704\) | 8.61360 | + | 4.14809i | 0.324637 | + | 0.156337i | ||||
\(705\) | −8.85015 | + | 6.03393i | −0.333316 | + | 0.227251i | ||||
\(706\) | −6.38124 | − | 16.2591i | −0.240161 | − | 0.611921i | ||||
\(707\) | 51.1465 | − | 15.7766i | 1.92356 | − | 0.593340i | ||||
\(708\) | −3.19511 | + | 2.96463i | −0.120080 | + | 0.111418i | ||||
\(709\) | 11.5355 | − | 14.4651i | 0.433226 | − | 0.543248i | −0.516518 | − | 0.856276i | \(-0.672772\pi\) |
0.949744 | + | 0.313028i | \(0.101344\pi\) | |||||||
\(710\) | 11.4520 | − | 14.3603i | 0.429785 | − | 0.538934i | ||||
\(711\) | −0.523290 | + | 0.485542i | −0.0196249 | + | 0.0182092i | ||||
\(712\) | −30.8375 | + | 9.51210i | −1.15568 | + | 0.356481i | ||||
\(713\) | −5.07555 | − | 12.9323i | −0.190081 | − | 0.484318i | ||||
\(714\) | 5.18405 | − | 3.53443i | 0.194008 | − | 0.132273i | ||||
\(715\) | −11.4062 | − | 5.49296i | −0.426569 | − | 0.205425i | ||||
\(716\) | −12.8451 | − | 11.9186i | −0.480046 | − | 0.445417i | ||||
\(717\) | 6.96289 | − | 1.04949i | 0.260034 | − | 0.0391938i | ||||
\(718\) | 1.61562 | − | 21.5590i | 0.0602946 | − | 0.804575i | ||||
\(719\) | 5.80660 | − | 14.7950i | 0.216550 | − | 0.551760i | −0.780779 | − | 0.624808i | \(-0.785177\pi\) |
0.997328 | + | 0.0730479i | \(0.0232726\pi\) | |||||||
\(720\) | 0.164414 | + | 0.720347i | 0.00612736 | + | 0.0268457i | ||||
\(721\) | −0.281002 | − | 3.74971i | −0.0104651 | − | 0.139647i | ||||
\(722\) | 26.4503 | + | 8.15885i | 0.984380 | + | 0.303641i | ||||
\(723\) | −4.42926 | + | 2.13302i | −0.164726 | + | 0.0793279i | ||||
\(724\) | 5.00721 | − | 8.67273i | 0.186091 | − | 0.322320i | ||||
\(725\) | −22.5341 | − | 39.0302i | −0.836895 | − | 1.44954i | ||||
\(726\) | −2.00121 | − | 1.36441i | −0.0742720 | − | 0.0506378i | ||||
\(727\) | 4.83994 | − | 21.2052i | 0.179504 | − | 0.786456i | −0.802356 | − | 0.596846i | \(-0.796420\pi\) |
0.981859 | − | 0.189610i | \(-0.0607225\pi\) | |||||||
\(728\) | −12.4520 | − | 1.87684i | −0.461503 | − | 0.0695604i | ||||
\(729\) | 15.0886 | + | 18.9205i | 0.558837 | + | 0.700760i | ||||
\(730\) | −24.8374 | −0.919275 | ||||||||
\(731\) | −6.36770 | − | 1.56602i | −0.235518 | − | 0.0579214i | ||||
\(732\) | 22.4401 | 0.829409 | ||||||||
\(733\) | 22.1213 | + | 27.7393i | 0.817071 | + | 1.02457i | 0.999147 | + | 0.0412899i | \(0.0131467\pi\) |
−0.182077 | + | 0.983284i | \(0.558282\pi\) | |||||||
\(734\) | −28.5943 | − | 4.30990i | −1.05544 | − | 0.159081i | ||||
\(735\) | 19.9627 | − | 87.4625i | 0.736337 | − | 3.22610i | ||||
\(736\) | −24.1386 | − | 16.4574i | −0.889760 | − | 0.606628i | ||||
\(737\) | −8.05619 | − | 13.9537i | −0.296754 | − | 0.513992i | ||||
\(738\) | −0.124568 | + | 0.215758i | −0.00458541 | + | 0.00794216i | ||||
\(739\) | −28.1175 | + | 13.5407i | −1.03432 | + | 0.498102i | −0.872446 | − | 0.488710i | \(-0.837468\pi\) |
−0.161872 | + | 0.986812i | \(0.551753\pi\) | |||||||
\(740\) | 30.9061 | + | 9.53326i | 1.13613 | + | 0.350449i | ||||
\(741\) | −1.06616 | − | 14.2269i | −0.0391663 | − | 0.522638i | ||||
\(742\) | 10.1529 | + | 44.4827i | 0.372724 | + | 1.63301i | ||||
\(743\) | 13.9475 | − | 35.5377i | 0.511685 | − | 1.30375i | −0.408675 | − | 0.912680i | \(-0.634009\pi\) |
0.920360 | − | 0.391072i | \(-0.127896\pi\) | |||||||
\(744\) | −0.994706 | + | 13.2734i | −0.0364677 | + | 0.486627i | ||||
\(745\) | −73.9257 | + | 11.1425i | −2.70843 | + | 0.408230i | ||||
\(746\) | 14.1080 | + | 13.0903i | 0.516531 | + | 0.479270i | ||||
\(747\) | −1.12286 | − | 0.540741i | −0.0410833 | − | 0.0197847i | ||||
\(748\) | −3.50078 | + | 2.38679i | −0.128001 | + | 0.0872697i | ||||
\(749\) | −16.3307 | − | 41.6100i | −0.596711 | − | 1.52040i | ||||
\(750\) | −26.6372 | + | 8.21650i | −0.972655 | + | 0.300024i | ||||
\(751\) | 28.4386 | − | 26.3872i | 1.03774 | − | 0.962883i | 0.0384030 | − | 0.999262i | \(-0.487773\pi\) |
0.999338 | + | 0.0363794i | \(0.0115825\pi\) | |||||||
\(752\) | 0.680364 | − | 0.853149i | 0.0248103 | − | 0.0311112i | ||||
\(753\) | 32.6061 | − | 40.8868i | 1.18823 | − | 1.49000i | ||||
\(754\) | −2.73501 | + | 2.53772i | −0.0996032 | + | 0.0924182i | ||||
\(755\) | −31.7274 | + | 9.78660i | −1.15468 | + | 0.356171i | ||||
\(756\) | −11.1643 | − | 28.4462i | −0.406042 | − | 1.03458i | ||||
\(757\) | 27.7573 | − | 18.9246i | 1.00886 | − | 0.687826i | 0.0582736 | − | 0.998301i | \(-0.481440\pi\) |
0.950582 | + | 0.310475i | \(0.100488\pi\) | |||||||
\(758\) | −7.34093 | − | 3.53521i | −0.266635 | − | 0.128405i | ||||
\(759\) | −20.1514 | − | 18.6977i | −0.731448 | − | 0.678685i | ||||
\(760\) | 75.0207 | − | 11.3076i | 2.72129 | − | 0.410168i | ||||
\(761\) | 2.02910 | − | 27.0765i | 0.0735549 | − | 0.981521i | −0.831306 | − | 0.555815i | \(-0.812406\pi\) |
0.904861 | − | 0.425707i | \(-0.139974\pi\) | |||||||
\(762\) | −7.73170 | + | 19.7000i | −0.280090 | + | 0.713657i | ||||
\(763\) | 11.1121 | + | 48.6853i | 0.402285 | + | 1.76253i | ||||
\(764\) | −0.489744 | − | 6.53519i | −0.0177183 | − | 0.236435i | ||||
\(765\) | 0.987312 | + | 0.304545i | 0.0356963 | + | 0.0110109i | ||||
\(766\) | −2.45067 | + | 1.18018i | −0.0885463 | + | 0.0426417i | ||||
\(767\) | 0.927648 | − | 1.60673i | 0.0334954 | − | 0.0580158i | ||||
\(768\) | 12.1984 | + | 21.1282i | 0.440170 | + | 0.762397i | ||||
\(769\) | 25.9458 | + | 17.6896i | 0.935630 | + | 0.637902i | 0.932142 | − | 0.362092i | \(-0.117937\pi\) |
0.00348776 | + | 0.999994i | \(0.498890\pi\) | |||||||
\(770\) | 9.14274 | − | 40.0570i | 0.329482 | − | 1.44355i | ||||
\(771\) | −21.7738 | − | 3.28188i | −0.784165 | − | 0.118194i | ||||
\(772\) | −19.0276 | − | 23.8599i | −0.684819 | − | 0.858736i | ||||
\(773\) | 39.3973 | 1.41702 | 0.708511 | − | 0.705700i | \(-0.249367\pi\) | ||||
0.708511 | + | 0.705700i | \(0.249367\pi\) | |||||||
\(774\) | −0.611253 | + | 1.21673i | −0.0219710 | + | 0.0437343i | ||||
\(775\) | 28.0697 | 1.00829 | ||||||||
\(776\) | −14.3429 | − | 17.9855i | −0.514881 | − | 0.645640i | ||||
\(777\) | 47.5894 | + | 7.17294i | 1.70726 | + | 0.257328i | ||||
\(778\) | 3.64319 | − | 15.9618i | 0.130615 | − | 0.572260i | ||||
\(779\) | −7.31560 | − | 4.98769i | −0.262109 | − | 0.178703i | ||||
\(780\) | −5.22127 | − | 9.04351i | −0.186952 | − | 0.323810i | ||||
\(781\) | −9.22837 | + | 15.9840i | −0.330217 | + | 0.571953i | ||||
\(782\) | −3.51127 | + | 1.69094i | −0.125563 | + | 0.0604679i | ||||
\(783\) | −21.0946 | − | 6.50683i | −0.753860 | − | 0.232535i | ||||
\(784\) | 0.682986 | + | 9.11381i | 0.0243923 | + | 0.325493i | ||||
\(785\) | 1.76568 | + | 7.73595i | 0.0630198 | + | 0.276108i | ||||
\(786\) | −5.52766 | + | 14.0843i | −0.197165 | + | 0.502369i | ||||
\(787\) | 3.65304 | − | 48.7464i | 0.130217 | − | 1.73762i | −0.424364 | − | 0.905492i | \(-0.639502\pi\) |
0.554581 | − | 0.832130i | \(-0.312879\pi\) | |||||||
\(788\) | 30.1904 | − | 4.55048i | 1.07549 | − | 0.162104i | ||||
\(789\) | 10.4308 | + | 9.67837i | 0.371346 | + | 0.344559i | ||||
\(790\) | 7.33118 | + | 3.53051i | 0.260832 | + | 0.125610i | ||||
\(791\) | 30.0563 | − | 20.4920i | 1.06868 | − | 0.728613i | ||||
\(792\) | 0.783706 | + | 1.99685i | 0.0278478 | + | 0.0709550i | ||||
\(793\) | −9.12747 | + | 2.81545i | −0.324126 | + | 0.0999796i | ||||
\(794\) | −12.8299 | + | 11.9044i | −0.455317 | + | 0.422473i | ||||
\(795\) | −57.5180 | + | 72.1253i | −2.03995 | + | 2.55802i | ||||
\(796\) | 2.05872 | − | 2.58155i | 0.0729694 | − | 0.0915008i | ||||
\(797\) | −12.8442 | + | 11.9177i | −0.454966 | + | 0.422147i | −0.874076 | − | 0.485789i | \(-0.838532\pi\) |
0.419110 | + | 0.907935i | \(0.362342\pi\) | |||||||
\(798\) | 44.2448 | − | 13.6477i | 1.56625 | − | 0.483124i | ||||
\(799\) | −0.557483 | − | 1.42044i | −0.0197223 | − | 0.0502517i | ||||
\(800\) | 48.7714 | − | 33.2518i | 1.72433 | − | 1.17563i | ||||
\(801\) | −2.92207 | − | 1.40720i | −0.103246 | − | 0.0497209i | ||||
\(802\) | −13.3866 | − | 12.4210i | −0.472698 | − | 0.438600i | ||||
\(803\) | 24.6793 | − | 3.71980i | 0.870913 | − | 0.131269i | ||||
\(804\) | 0.993181 | − | 13.2531i | 0.0350268 | − | 0.467400i | ||||
\(805\) | −31.5088 | + | 80.2831i | −1.11054 | + | 2.82961i | ||||
\(806\) | −0.517087 | − | 2.26551i | −0.0182136 | − | 0.0797990i | ||||
\(807\) | 2.22786 | + | 29.7287i | 0.0784243 | + | 1.04650i | ||||
\(808\) | 30.4383 | + | 9.38898i | 1.07082 | + | 0.330303i | ||||
\(809\) | 6.94604 | − | 3.34504i | 0.244210 | − | 0.117605i | −0.307776 | − | 0.951459i | \(-0.599585\pi\) |
0.551986 | + | 0.833854i | \(0.313870\pi\) | |||||||
\(810\) | −14.7470 | + | 25.5425i | −0.518157 | + | 0.897474i | ||||
\(811\) | −0.400462 | − | 0.693621i | −0.0140621 | − | 0.0243563i | 0.858909 | − | 0.512129i | \(-0.171143\pi\) |
−0.872971 | + | 0.487772i | \(0.837810\pi\) | |||||||
\(812\) | 22.8315 | + | 15.5663i | 0.801229 | + | 0.546269i | ||||
\(813\) | 2.23319 | − | 9.78424i | 0.0783213 | − | 0.343148i | ||||
\(814\) | 14.0823 | + | 2.12256i | 0.493584 | + | 0.0743958i | ||||
\(815\) | 31.6307 | + | 39.6637i | 1.10798 | + | 1.38936i | ||||
\(816\) | −1.29237 | −0.0452420 | ||||||||
\(817\) | −41.4972 | − | 24.8942i | −1.45180 | − | 0.870937i | ||||
\(818\) | −3.91756 | −0.136974 | ||||||||
\(819\) | −0.789067 | − | 0.989459i | −0.0275722 | − | 0.0345745i | ||||
\(820\) | −6.40836 | − | 0.965905i | −0.223790 | − | 0.0337309i | ||||
\(821\) | −8.05525 | + | 35.2923i | −0.281130 | + | 1.23171i | 0.615217 | + | 0.788358i | \(0.289068\pi\) |
−0.896347 | + | 0.443353i | \(0.853789\pi\) | |||||||
\(822\) | 19.9171 | + | 13.5792i | 0.694687 | + | 0.473630i | ||||
\(823\) | −1.73685 | − | 3.00831i | −0.0605428 | − | 0.104863i | 0.834165 | − | 0.551514i | \(-0.185950\pi\) |
−0.894708 | + | 0.446651i | \(0.852616\pi\) | |||||||
\(824\) | 1.11889 | − | 1.93798i | 0.0389785 | − | 0.0675128i | ||||
\(825\) | 50.0418 | − | 24.0989i | 1.74223 | − | 0.839015i | ||||
\(826\) | 5.75374 | + | 1.77479i | 0.200198 | + | 0.0617529i | ||||
\(827\) | 3.56057 | + | 47.5126i | 0.123813 | + | 1.65217i | 0.620473 | + | 0.784228i | \(0.286941\pi\) |
−0.496659 | + | 0.867946i | \(0.665440\pi\) | |||||||
\(828\) | −0.410946 | − | 1.80047i | −0.0142814 | − | 0.0625707i | ||||
\(829\) | 2.09899 | − | 5.34813i | 0.0729008 | − | 0.185748i | −0.889779 | − | 0.456392i | \(-0.849141\pi\) |
0.962679 | + | 0.270644i | \(0.0872366\pi\) | |||||||
\(830\) | −1.06162 | + | 14.1663i | −0.0368493 | + | 0.491719i | ||||
\(831\) | −27.9712 | + | 4.21598i | −0.970309 | + | 0.146251i | ||||
\(832\) | −2.46062 | − | 2.28312i | −0.0853068 | − | 0.0791531i | ||||
\(833\) | 11.5146 | + | 5.54512i | 0.398956 | + | 0.192127i | ||||
\(834\) | −22.6460 | + | 15.4398i | −0.784167 | + | 0.534636i | ||||
\(835\) | 28.3172 | + | 72.1510i | 0.979956 | + | 2.49689i | ||||
\(836\) | −29.8784 | + | 9.21628i | −1.03337 | + | 0.318752i | ||||
\(837\) | 10.0789 | − | 9.35181i | 0.348376 | − | 0.323246i | ||||
\(838\) | 3.73942 | − | 4.68908i | 0.129176 | − | 0.161982i | ||||
\(839\) | 26.8540 | − | 33.6739i | 0.927104 | − | 1.16255i | −0.0593046 | − | 0.998240i | \(-0.518888\pi\) |
0.986408 | − | 0.164312i | \(-0.0525403\pi\) | |||||||
\(840\) | 60.5735 | − | 56.2040i | 2.08998 | − | 1.93922i | ||||
\(841\) | −8.63649 | + | 2.66400i | −0.297810 | + | 0.0918622i | ||||
\(842\) | 0.733455 | + | 1.86881i | 0.0252765 | + | 0.0644035i | ||||
\(843\) | −31.8954 | + | 21.7459i | −1.09853 | + | 0.748968i | ||||
\(844\) | −5.22955 | − | 2.51842i | −0.180009 | − | 0.0866876i | ||||
\(845\) | −33.7569 | − | 31.3219i | −1.16127 | − | 1.07750i | ||||
\(846\) | −0.313316 | + | 0.0472248i | −0.0107720 | + | 0.00162362i | ||||
\(847\) | 0.570625 | − | 7.61446i | 0.0196069 | − | 0.261636i | ||||
\(848\) | 3.43352 | − | 8.74847i | 0.117908 | − | 0.300424i | ||||
\(849\) | −2.08956 | − | 9.15496i | −0.0717135 | − | 0.314197i | ||||
\(850\) | −0.588442 | − | 7.85221i | −0.0201834 | − | 0.269329i | ||||
\(851\) | −28.5655 | − | 8.81131i | −0.979214 | − | 0.302048i | ||||
\(852\) | −13.7163 | + | 6.60544i | −0.469914 | + | 0.226299i | ||||
\(853\) | 15.4566 | − | 26.7717i | 0.529225 | − | 0.916644i | −0.470194 | − | 0.882563i | \(-0.655816\pi\) |
0.999419 | − | 0.0340811i | \(-0.0108505\pi\) | |||||||
\(854\) | −15.4999 | − | 26.8466i | −0.530396 | − | 0.918673i | ||||
\(855\) | 6.29986 | + | 4.29517i | 0.215451 | + | 0.146892i | ||||
\(856\) | 5.91947 | − | 25.9349i | 0.202323 | − | 0.886436i | ||||
\(857\) | 35.8451 | + | 5.40279i | 1.22445 | + | 0.184556i | 0.729263 | − | 0.684233i | \(-0.239863\pi\) |
0.495183 | + | 0.868789i | \(0.335101\pi\) | |||||||
\(858\) | −2.86686 | − | 3.59493i | −0.0978731 | − | 0.122729i | ||||
\(859\) | −6.92872 | −0.236405 | −0.118202 | − | 0.992990i | \(-0.537713\pi\) | ||||
−0.118202 | + | 0.992990i | \(0.537713\pi\) | |||||||
\(860\) | −35.2718 | − | 3.23807i | −1.20276 | − | 0.110417i | ||||
\(861\) | −9.64346 | −0.328648 | ||||||||
\(862\) | 8.35851 | + | 10.4812i | 0.284692 | + | 0.356992i | ||||
\(863\) | 18.3579 | + | 2.76701i | 0.624910 | + | 0.0941900i | 0.453861 | − | 0.891073i | \(-0.350046\pi\) |
0.171049 | + | 0.985263i | \(0.445284\pi\) | |||||||
\(864\) | 6.43382 | − | 28.1884i | 0.218883 | − | 0.958989i | ||||
\(865\) | −25.1250 | − | 17.1300i | −0.854277 | − | 0.582436i | ||||
\(866\) | 3.65928 | + | 6.33807i | 0.124348 | + | 0.215376i | ||||
\(867\) | −0.903604 | + | 1.56509i | −0.0306880 | + | 0.0531532i | ||||
\(868\) | −15.5063 | + | 7.46743i | −0.526317 | + | 0.253461i | ||||
\(869\) | −7.81324 | − | 2.41007i | −0.265046 | − | 0.0817559i | ||||
\(870\) | −1.82957 | − | 24.4139i | −0.0620282 | − | 0.827709i | ||||
\(871\) | 1.25883 | + | 5.51528i | 0.0426537 | + | 0.186878i | ||||
\(872\) | −10.8575 | + | 27.6644i | −0.367681 | + | 0.936836i | ||||
\(873\) | 0.172771 | − | 2.30546i | 0.00584740 | − | 0.0780282i | ||||
\(874\) | −28.4388 | + | 4.28646i | −0.961958 | + | 0.144992i | ||||
\(875\) | −64.4210 | − | 59.7739i | −2.17783 | − | 2.02073i | ||||
\(876\) | 18.5478 | + | 8.93217i | 0.626674 | + | 0.301790i | ||||
\(877\) | −18.8276 | + | 12.8364i | −0.635762 | + | 0.433455i | −0.837841 | − | 0.545914i | \(-0.816183\pi\) |
0.202079 | + | 0.979369i | \(0.435230\pi\) | |||||||
\(878\) | −4.76687 | − | 12.1458i | −0.160874 | − | 0.409900i | ||||
\(879\) | −19.8158 | + | 6.11237i | −0.668371 | + | 0.206165i | ||||
\(880\) | −6.20388 | + | 5.75636i | −0.209133 | + | 0.194047i | ||||
\(881\) | −14.5029 | + | 18.1861i | −0.488616 | + | 0.612705i | −0.963619 | − | 0.267279i | \(-0.913875\pi\) |
0.475003 | + | 0.879984i | \(0.342447\pi\) | |||||||
\(882\) | 1.65460 | − | 2.07481i | 0.0557134 | − | 0.0698624i | ||||
\(883\) | 28.5724 | − | 26.5113i | 0.961538 | − | 0.892177i | −0.0326903 | − | 0.999466i | \(-0.510407\pi\) |
0.994228 | + | 0.107289i | \(0.0342170\pi\) | |||||||
\(884\) | 1.42154 | − | 0.438486i | 0.0478115 | − | 0.0147479i | ||||
\(885\) | 4.44776 | + | 11.3327i | 0.149510 | + | 0.380945i | ||||
\(886\) | 14.6870 | − | 10.0135i | 0.493421 | − | 0.336409i | ||||
\(887\) | −25.4310 | − | 12.2469i | −0.853888 | − | 0.411211i | −0.0448689 | − | 0.998993i | \(-0.514287\pi\) |
−0.809019 | + | 0.587782i | \(0.800001\pi\) | |||||||
\(888\) | 20.9956 | + | 19.4810i | 0.704565 | + | 0.653741i | ||||
\(889\) | −65.9729 | + | 9.94381i | −2.21266 | + | 0.333505i | ||||
\(890\) | −2.76270 | + | 36.8657i | −0.0926059 | + | 1.23574i | ||||
\(891\) | 10.8277 | − | 27.5885i | 0.362741 | − | 0.924249i | ||||
\(892\) | 7.26978 | + | 31.8510i | 0.243410 | + | 1.06645i | ||||
\(893\) | −0.841519 | − | 11.2293i | −0.0281604 | − | 0.375774i | ||||
\(894\) | −25.9467 | − | 8.00350i | −0.867788 | − | 0.267677i | ||||
\(895\) | −44.0966 | + | 21.2358i | −1.47399 | + | 0.709835i | ||||
\(896\) | −20.5790 | + | 35.6439i | −0.687497 | + | 1.19078i | ||||
\(897\) | 4.82587 | + | 8.35865i | 0.161131 | + | 0.279087i | ||||
\(898\) | −24.6497 | − | 16.8059i | −0.822570 | − | 0.560819i | ||||
\(899\) | −2.76658 | + | 12.1212i | −0.0922705 | + | 0.404264i | ||||
\(900\) | 3.68968 | + | 0.556130i | 0.122989 | + | 0.0185377i | ||||
\(901\) | −8.19393 | − | 10.2749i | −0.272979 | − | 0.342305i | ||||
\(902\) | −2.85362 | −0.0950152 | ||||||||
\(903\) | −52.6169 | + | 3.05799i | −1.75098 | + | 0.101764i | ||||
\(904\) | 21.6489 | 0.720031 | ||||||||
\(905\) | −17.4400 | − | 21.8691i | −0.579725 | − | 0.726952i | ||||
\(906\) | −11.9244 | − | 1.79732i | −0.396162 | − | 0.0597119i | ||||
\(907\) | −9.18592 | + | 40.2462i | −0.305014 | + | 1.33635i | 0.557441 | + | 0.830217i | \(0.311783\pi\) |
−0.862454 | + | 0.506135i | \(0.831074\pi\) | |||||||
\(908\) | −1.08002 | − | 0.736346i | −0.0358418 | − | 0.0244365i | ||||
\(909\) | 1.60064 | + | 2.77239i | 0.0530899 | + | 0.0919543i | ||||
\(910\) | −7.21292 | + | 12.4931i | −0.239106 | + | 0.414144i | ||||
\(911\) | −8.83670 | + | 4.25553i | −0.292773 | + | 0.140992i | −0.574505 | − | 0.818501i | \(-0.694805\pi\) |
0.281732 | + | 0.959493i | \(0.409091\pi\) | |||||||
\(912\) | −9.11351 | − | 2.81115i | −0.301779 | − | 0.0930864i | ||||
\(913\) | −1.06677 | − | 14.2351i | −0.0353050 | − | 0.471112i | ||||
\(914\) | 6.15231 | + | 26.9551i | 0.203500 | + | 0.891594i | ||||
\(915\) | 22.8989 | − | 58.3454i | 0.757014 | − | 1.92884i | ||||
\(916\) | 1.25800 | − | 16.7868i | 0.0415654 | − | 0.554651i | ||||
\(917\) | −47.1663 | + | 7.10918i | −1.55757 | + | 0.234766i | ||||
\(918\) | −2.82736 | − | 2.62341i | −0.0933168 | − | 0.0865853i | ||||
\(919\) | −4.24354 | − | 2.04358i | −0.139982 | − | 0.0674116i | 0.362582 | − | 0.931952i | \(-0.381895\pi\) |
−0.502563 | + | 0.864540i | \(0.667610\pi\) | |||||||
\(920\) | −42.4076 | + | 28.9130i | −1.39814 | + | 0.953235i | ||||
\(921\) | 12.4426 | + | 31.7031i | 0.409997 | + | 1.04465i | ||||
\(922\) | −26.5330 | + | 8.18436i | −0.873819 | + | 0.269538i | ||||
\(923\) | 4.75035 | − | 4.40768i | 0.156360 | − | 0.145080i | ||||
\(924\) | −21.2330 | + | 26.6254i | −0.698515 | + | 0.875911i | ||||
\(925\) | 37.6584 | − | 47.2221i | 1.23820 | − | 1.55265i | ||||
\(926\) | 2.50576 | − | 2.32501i | 0.0823445 | − | 0.0764045i | ||||
\(927\) | 0.214906 | − | 0.0662898i | 0.00705845 | − | 0.00217724i | ||||
\(928\) | 9.55195 | + | 24.3380i | 0.313558 | + | 0.798933i | ||||
\(929\) | 26.7978 | − | 18.2705i | 0.879209 | − | 0.599434i | −0.0373644 | − | 0.999302i | \(-0.511896\pi\) |
0.916573 | + | 0.399867i | \(0.130944\pi\) | |||||||
\(930\) | 13.7383 | + | 6.61600i | 0.450495 | + | 0.216947i | ||||
\(931\) | 69.1365 | + | 64.1493i | 2.26586 | + | 2.10241i | ||||
\(932\) | −2.20673 | + | 0.332611i | −0.0722839 | + | 0.0108950i | ||||
\(933\) | −0.864679 | + | 11.5383i | −0.0283083 | + | 0.377748i | ||||
\(934\) | −1.13424 | + | 2.89000i | −0.0371135 | + | 0.0945638i | ||||
\(935\) | 2.63343 | + | 11.5378i | 0.0861223 | + | 0.377326i | ||||
\(936\) | −0.0562841 | − | 0.751059i | −0.00183970 | − | 0.0245491i | ||||
\(937\) | 8.43866 | + | 2.60298i | 0.275679 | + | 0.0850357i | 0.429512 | − | 0.903061i | \(-0.358686\pi\) |
−0.153833 | + | 0.988097i | \(0.549162\pi\) | |||||||
\(938\) | −16.5416 | + | 7.96602i | −0.540103 | + | 0.260100i | ||||
\(939\) | 21.1809 | − | 36.6864i | 0.691212 | − | 1.19721i | ||||
\(940\) | −4.12115 | − | 7.13805i | −0.134417 | − | 0.232817i | ||||
\(941\) | 16.5986 | + | 11.3167i | 0.541097 | + | 0.368914i | 0.802813 | − | 0.596231i | \(-0.203336\pi\) |
−0.261715 | + | 0.965145i | \(0.584288\pi\) | |||||||
\(942\) | −0.641293 | + | 2.80969i | −0.0208945 | + | 0.0915446i | ||||
\(943\) | 5.92306 | + | 0.892757i | 0.192881 | + | 0.0290722i | ||||
\(944\) | −0.773284 | − | 0.969667i | −0.0251682 | − | 0.0315600i | ||||
\(945\) | −85.3542 | −2.77657 | ||||||||
\(946\) | −15.5700 | + | 0.904898i | −0.506225 | + | 0.0294208i | ||||
\(947\) | −21.2764 | −0.691389 | −0.345694 | − | 0.938347i | \(-0.612357\pi\) | ||||
−0.345694 | + | 0.938347i | \(0.612357\pi\) | |||||||
\(948\) | −4.20504 | − | 5.27296i | −0.136573 | − | 0.171258i | ||||
\(949\) | −8.66498 | − | 1.30604i | −0.281277 | − | 0.0423957i | ||||
\(950\) | 12.9305 | − | 56.6521i | 0.419520 | − | 1.83804i | ||||
\(951\) | 45.0644 | + | 30.7244i | 1.46131 | + | 0.996307i | ||||
\(952\) | 5.88580 | + | 10.1945i | 0.190760 | + | 0.330406i | ||||
\(953\) | −13.9193 | + | 24.1089i | −0.450889 | + | 0.780962i | −0.998441 | − | 0.0558089i | \(-0.982226\pi\) |
0.547553 | + | 0.836771i | \(0.315560\pi\) | |||||||
\(954\) | −2.45867 | + | 1.18403i | −0.0796023 | + | 0.0383344i | ||||
\(955\) | −17.4916 | − | 5.39544i | −0.566014 | − | 0.174592i | ||||
\(956\) | 0.404918 | + | 5.40326i | 0.0130960 | + | 0.174754i | ||||
\(957\) | 5.47429 | + | 23.9844i | 0.176959 | + | 0.775307i | ||||
\(958\) | −2.61660 | + | 6.66700i | −0.0845386 | + | 0.215401i | ||||
\(959\) | −5.67913 | + | 75.7828i | −0.183389 | + | 2.44715i | ||||
\(960\) | 21.7802 | − | 3.28284i | 0.702953 | − | 0.105953i | ||||
\(961\) | 17.0482 | + | 15.8184i | 0.549941 | + | 0.510271i | ||||
\(962\) | −4.50502 | − | 2.16950i | −0.145248 | − | 0.0699475i | ||||
\(963\) | 2.20894 | − | 1.50603i | 0.0711821 | − | 0.0485311i | ||||
\(964\) | −1.38205 | − | 3.52141i | −0.0445128 | − | 0.113417i | ||||
\(965\) | −81.4536 | + | 25.1251i | −2.62208 | + | 0.808805i | ||||
\(966\) | −22.9622 | + | 21.3058i | −0.738796 | + | 0.685502i | ||||
\(967\) | 5.83506 | − | 7.31693i | 0.187643 | − | 0.235297i | −0.679108 | − | 0.734039i | \(-0.737633\pi\) |
0.866750 | + | 0.498742i | \(0.166204\pi\) | |||||||
\(968\) | 2.83328 | − | 3.55282i | 0.0910651 | − | 0.114192i | ||||
\(969\) | −9.77638 | + | 9.07116i | −0.314063 | + | 0.291408i | ||||
\(970\) | −25.1823 | + | 7.76770i | −0.808554 | + | 0.249406i | ||||
\(971\) | 5.10507 | + | 13.0075i | 0.163829 | + | 0.417431i | 0.989088 | − | 0.147324i | \(-0.0470660\pi\) |
−0.825259 | + | 0.564755i | \(0.808971\pi\) | |||||||
\(972\) | 3.16716 | − | 2.15933i | 0.101587 | − | 0.0692607i | ||||
\(973\) | −77.8508 | − | 37.4910i | −2.49578 | − | 1.20191i | ||||
\(974\) | 17.8180 | + | 16.5327i | 0.570926 | + | 0.529742i | ||||
\(975\) | −19.2833 | + | 2.90649i | −0.617559 | + | 0.0930820i | ||||
\(976\) | −0.477175 | + | 6.36746i | −0.0152740 | + | 0.203818i | ||||
\(977\) | −9.08534 | + | 23.1491i | −0.290666 | + | 0.740604i | 0.708718 | + | 0.705492i | \(0.249274\pi\) |
−0.999383 | + | 0.0351118i | \(0.988821\pi\) | |||||||
\(978\) | 4.10011 | + | 17.9638i | 0.131107 | + | 0.574418i | ||||
\(979\) | −2.77611 | − | 37.0447i | −0.0887250 | − | 1.18395i | ||||
\(980\) | 65.9655 | + | 20.3477i | 2.10719 | + | 0.649982i | ||||
\(981\) | −2.69096 | + | 1.29590i | −0.0859157 | + | 0.0413748i | ||||
\(982\) | 9.56769 | − | 16.5717i | 0.305317 | − | 0.528825i | ||||
\(983\) | 8.56674 | + | 14.8380i | 0.273237 | + | 0.473260i | 0.969689 | − | 0.244344i | \(-0.0785725\pi\) |
−0.696452 | + | 0.717603i | \(0.745239\pi\) | |||||||
\(984\) | −4.74181 | − | 3.23291i | −0.151163 | − | 0.103061i | ||||
\(985\) | 18.9762 | − | 83.1402i | 0.604633 | − | 2.64907i | ||||
\(986\) | 3.44877 | + | 0.519818i | 0.109831 | + | 0.0165544i | ||||
\(987\) | −7.64691 | − | 9.58893i | −0.243404 | − | 0.305219i | ||||
\(988\) | 10.9782 | 0.349262 | ||||||||
\(989\) | 32.6007 | + | 2.99286i | 1.03664 | + | 0.0951673i | ||||
\(990\) | 2.45741 | 0.0781016 | ||||||||
\(991\) | −16.7849 | − | 21.0476i | −0.533191 | − | 0.668600i | 0.440160 | − | 0.897919i | \(-0.354922\pi\) |
−0.973351 | + | 0.229319i | \(0.926350\pi\) | |||||||
\(992\) | −16.1022 | − | 2.42701i | −0.511244 | − | 0.0770576i | ||||
\(993\) | −6.33113 | + | 27.7385i | −0.200912 | + | 0.880255i | ||||
\(994\) | 17.3768 | + | 11.8473i | 0.551157 | + | 0.375773i | ||||
\(995\) | −4.61137 | − | 7.98712i | −0.146190 | − | 0.253209i | ||||
\(996\) | 5.88734 | − | 10.1972i | 0.186548 | − | 0.323110i | ||||
\(997\) | 40.2652 | − | 19.3907i | 1.27521 | − | 0.614109i | 0.331056 | − | 0.943611i | \(-0.392595\pi\) |
0.944155 | + | 0.329501i | \(0.106881\pi\) | |||||||
\(998\) | −32.7763 | − | 10.1102i | −1.03752 | − | 0.320031i | ||||
\(999\) | −2.21088 | − | 29.5022i | −0.0699493 | − | 0.933408i |
(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 | 731.2.u.b.52.20 | ✓ | 348 | |
43.24 | even | 21 | inner | 731.2.u.b.239.20 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.u.b.52.20 | ✓ | 348 | 1.1 | even | 1 | trivial | |
731.2.u.b.239.20 | yes | 348 | 43.24 | even | 21 | inner |