Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,3,Mod(159,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.159");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.p (of order \(6\), degree \(2\), 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: | \(10.3542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(232\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 159.6 | ||
Character | \(\chi\) | \(=\) | 380.159 |
Dual form | 380.3.p.a.239.6 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97327 | + | 0.325875i | −0.986636 | + | 0.162937i | ||||
\(3\) | −0.501671 | − | 0.868919i | −0.167224 | − | 0.289640i | 0.770219 | − | 0.637779i | \(-0.220147\pi\) |
−0.937443 | + | 0.348140i | \(0.886814\pi\) | |||||||
\(4\) | 3.78761 | − | 1.28608i | 0.946903 | − | 0.321520i | ||||
\(5\) | −2.04342 | − | 4.56338i | −0.408684 | − | 0.912676i | ||||
\(6\) | 1.27309 | + | 1.55113i | 0.212182 | + | 0.258522i | ||||
\(7\) | 6.90502 | 0.986431 | 0.493216 | − | 0.869907i | \(-0.335821\pi\) | ||||
0.493216 | + | 0.869907i | \(0.335821\pi\) | |||||||
\(8\) | −7.05489 | + | 3.77207i | −0.881861 | + | 0.471509i | ||||
\(9\) | 3.99665 | − | 6.92241i | 0.444073 | − | 0.769156i | ||||
\(10\) | 5.51932 | + | 8.33889i | 0.551932 | + | 0.833889i | ||||
\(11\) | − | 6.00165i | − | 0.545604i | −0.962070 | − | 0.272802i | \(-0.912050\pi\) | ||
0.962070 | − | 0.272802i | \(-0.0879504\pi\) | |||||||
\(12\) | −3.01763 | − | 2.64594i | −0.251469 | − | 0.220495i | ||||
\(13\) | 11.7221 | + | 6.76774i | 0.901698 | + | 0.520595i | 0.877751 | − | 0.479118i | \(-0.159043\pi\) |
0.0239471 | + | 0.999713i | \(0.492377\pi\) | |||||||
\(14\) | −13.6255 | + | 2.25017i | −0.973249 | + | 0.160726i | ||||
\(15\) | −2.94008 | + | 4.06488i | −0.196006 | + | 0.270992i | ||||
\(16\) | 12.6920 | − | 9.74234i | 0.793250 | − | 0.608896i | ||||
\(17\) | −13.1722 | + | 7.60495i | −0.774833 | + | 0.447350i | −0.834596 | − | 0.550862i | \(-0.814299\pi\) |
0.0597627 | + | 0.998213i | \(0.480966\pi\) | |||||||
\(18\) | −5.63065 | + | 14.9622i | −0.312814 | + | 0.831234i | ||||
\(19\) | 17.7989 | − | 6.64830i | 0.936783 | − | 0.349910i | ||||
\(20\) | −13.6085 | − | 14.6563i | −0.680427 | − | 0.732815i | ||||
\(21\) | −3.46405 | − | 5.99990i | −0.164955 | − | 0.285710i | ||||
\(22\) | 1.95578 | + | 11.8429i | 0.0888993 | + | 0.538313i | ||||
\(23\) | 6.96578 | − | 12.0651i | 0.302860 | − | 0.524569i | −0.673923 | − | 0.738802i | \(-0.735392\pi\) |
0.976783 | + | 0.214233i | \(0.0687252\pi\) | |||||||
\(24\) | 6.81686 | + | 4.23779i | 0.284036 | + | 0.176575i | ||||
\(25\) | −16.6489 | + | 18.6498i | −0.665955 | + | 0.745992i | ||||
\(26\) | −25.3363 | − | 9.53467i | −0.974472 | − | 0.366718i | ||||
\(27\) | −17.0501 | −0.631485 | ||||||||
\(28\) | 26.1535 | − | 8.88040i | 0.934054 | − | 0.317157i | ||||
\(29\) | −5.24051 | + | 9.07684i | −0.180707 | + | 0.312994i | −0.942122 | − | 0.335271i | \(-0.891172\pi\) |
0.761414 | + | 0.648266i | \(0.224505\pi\) | |||||||
\(30\) | 4.47695 | − | 8.97922i | 0.149232 | − | 0.299307i | ||||
\(31\) | − | 21.2501i | − | 0.685488i | −0.939429 | − | 0.342744i | \(-0.888644\pi\) | ||
0.939429 | − | 0.342744i | \(-0.111356\pi\) | |||||||
\(32\) | −21.8700 | + | 23.3603i | −0.683437 | + | 0.730009i | ||||
\(33\) | −5.21495 | + | 3.01085i | −0.158029 | + | 0.0912379i | ||||
\(34\) | 23.5140 | − | 19.2991i | 0.691589 | − | 0.567621i | ||||
\(35\) | −14.1099 | − | 31.5102i | −0.403139 | − | 0.900292i | ||||
\(36\) | 6.23500 | − | 31.3594i | 0.173195 | − | 0.871094i | ||||
\(37\) | 0.879830i | 0.0237792i | 0.999929 | + | 0.0118896i | \(0.00378466\pi\) | ||||
−0.999929 | + | 0.0118896i | \(0.996215\pi\) | |||||||
\(38\) | −32.9555 | + | 18.9191i | −0.867251 | + | 0.497871i | ||||
\(39\) | − | 13.5807i | − | 0.348223i | ||||||
\(40\) | 31.6295 | + | 24.4862i | 0.790738 | + | 0.612155i | ||||
\(41\) | 2.72756 | + | 4.72427i | 0.0665258 | + | 0.115226i | 0.897370 | − | 0.441279i | \(-0.145475\pi\) |
−0.830844 | + | 0.556505i | \(0.812142\pi\) | |||||||
\(42\) | 8.79072 | + | 10.7106i | 0.209303 | + | 0.255014i | ||||
\(43\) | −17.2054 | − | 29.8007i | −0.400126 | − | 0.693039i | 0.593614 | − | 0.804750i | \(-0.297700\pi\) |
−0.993741 | + | 0.111710i | \(0.964367\pi\) | |||||||
\(44\) | −7.71859 | − | 22.7319i | −0.175423 | − | 0.516634i | ||||
\(45\) | −39.7564 | − | 4.09286i | −0.883476 | − | 0.0909525i | ||||
\(46\) | −9.81368 | + | 26.0777i | −0.213341 | + | 0.566906i | ||||
\(47\) | 31.5408 | − | 54.6303i | 0.671081 | − | 1.16235i | −0.306517 | − | 0.951865i | \(-0.599164\pi\) |
0.977598 | − | 0.210481i | \(-0.0675031\pi\) | |||||||
\(48\) | −14.8325 | − | 6.14088i | −0.309011 | − | 0.127935i | ||||
\(49\) | −1.32072 | −0.0269536 | ||||||||
\(50\) | 26.7753 | − | 42.2266i | 0.535505 | − | 0.844532i | ||||
\(51\) | 13.2162 | + | 7.63037i | 0.259141 | + | 0.149615i | ||||
\(52\) | 53.1025 | + | 10.5581i | 1.02120 | + | 0.203040i | ||||
\(53\) | −43.4426 | − | 25.0816i | −0.819672 | − | 0.473238i | 0.0306313 | − | 0.999531i | \(-0.490248\pi\) |
−0.850303 | + | 0.526293i | \(0.823582\pi\) | |||||||
\(54\) | 33.6445 | − | 5.55619i | 0.623046 | − | 0.102892i | ||||
\(55\) | −27.3878 | + | 12.2639i | −0.497960 | + | 0.222980i | ||||
\(56\) | −48.7141 | + | 26.0462i | −0.869895 | + | 0.465111i | ||||
\(57\) | −14.7060 | − | 12.1305i | −0.258000 | − | 0.212816i | ||||
\(58\) | 7.38305 | − | 19.6188i | 0.127294 | − | 0.338256i | ||||
\(59\) | 25.3190 | − | 14.6179i | 0.429136 | − | 0.247762i | −0.269842 | − | 0.962904i | \(-0.586972\pi\) |
0.698979 | + | 0.715143i | \(0.253638\pi\) | |||||||
\(60\) | −5.90814 | + | 19.1774i | −0.0984689 | + | 0.319623i | ||||
\(61\) | 57.0667 | − | 98.8424i | 0.935519 | − | 1.62037i | 0.161814 | − | 0.986821i | \(-0.448266\pi\) |
0.773705 | − | 0.633546i | \(-0.218401\pi\) | |||||||
\(62\) | 6.92488 | + | 41.9323i | 0.111692 | + | 0.676328i | ||||
\(63\) | 27.5970 | − | 47.7993i | 0.438047 | − | 0.758720i | ||||
\(64\) | 35.5429 | − | 53.2231i | 0.555358 | − | 0.831611i | ||||
\(65\) | 6.93066 | − | 67.3216i | 0.106625 | − | 1.03572i | ||||
\(66\) | 9.30935 | − | 7.64065i | 0.141051 | − | 0.115767i | ||||
\(67\) | 39.6785 | − | 68.7251i | 0.592216 | − | 1.02575i | −0.401718 | − | 0.915764i | \(-0.631587\pi\) |
0.993933 | − | 0.109984i | \(-0.0350800\pi\) | |||||||
\(68\) | −40.1105 | + | 45.7451i | −0.589860 | + | 0.672722i | ||||
\(69\) | −13.9781 | −0.202581 | ||||||||
\(70\) | 38.1110 | + | 57.5802i | 0.544442 | + | 0.822575i | ||||
\(71\) | 24.9299 | − | 14.3933i | 0.351126 | − | 0.202723i | −0.314055 | − | 0.949405i | \(-0.601688\pi\) |
0.665181 | + | 0.746682i | \(0.268354\pi\) | |||||||
\(72\) | −2.08413 | + | 63.9125i | −0.0289463 | + | 0.887673i | ||||
\(73\) | −106.137 | + | 61.2784i | −1.45394 | + | 0.839431i | −0.998702 | − | 0.0509409i | \(-0.983778\pi\) |
−0.455235 | + | 0.890371i | \(0.650445\pi\) | |||||||
\(74\) | −0.286714 | − | 1.73614i | −0.00387452 | − | 0.0234614i | ||||
\(75\) | 24.5574 | + | 5.11046i | 0.327432 | + | 0.0681395i | ||||
\(76\) | 58.8650 | − | 48.0719i | 0.774540 | − | 0.632525i | ||||
\(77\) | − | 41.4415i | − | 0.538201i | ||||||
\(78\) | 4.42561 | + | 26.7984i | 0.0567386 | + | 0.343570i | ||||
\(79\) | −108.023 | + | 62.3672i | −1.36738 | + | 0.789458i | −0.990593 | − | 0.136841i | \(-0.956305\pi\) |
−0.376789 | + | 0.926299i | \(0.622972\pi\) | |||||||
\(80\) | −70.3931 | − | 38.0107i | −0.879913 | − | 0.475134i | ||||
\(81\) | −27.4163 | − | 47.4865i | −0.338473 | − | 0.586253i | ||||
\(82\) | −6.92174 | − | 8.43343i | −0.0844114 | − | 0.102847i | ||||
\(83\) | −24.6660 | −0.297181 | −0.148591 | − | 0.988899i | \(-0.547474\pi\) | ||||
−0.148591 | + | 0.988899i | \(0.547474\pi\) | |||||||
\(84\) | −20.8368 | − | 18.2703i | −0.248057 | − | 0.217503i | ||||
\(85\) | 61.6206 | + | 44.5695i | 0.724948 | + | 0.524347i | ||||
\(86\) | 43.6623 | + | 53.1981i | 0.507701 | + | 0.618582i | ||||
\(87\) | 10.5161 | 0.120874 | ||||||||
\(88\) | 22.6386 | + | 42.3409i | 0.257257 | + | 0.481147i | ||||
\(89\) | −21.5215 | + | 37.2764i | −0.241815 | + | 0.418836i | −0.961231 | − | 0.275743i | \(-0.911076\pi\) |
0.719416 | + | 0.694579i | \(0.244409\pi\) | |||||||
\(90\) | 79.7840 | − | 4.87927i | 0.886489 | − | 0.0542142i | ||||
\(91\) | 80.9411 | + | 46.7314i | 0.889463 | + | 0.513532i | ||||
\(92\) | 10.8670 | − | 54.6564i | 0.118120 | − | 0.594091i | ||||
\(93\) | −18.4646 | + | 10.6606i | −0.198545 | + | 0.114630i | ||||
\(94\) | −44.4360 | + | 118.079i | −0.472723 | + | 1.25616i | ||||
\(95\) | −66.7093 | − | 67.6378i | −0.702203 | − | 0.711977i | ||||
\(96\) | 31.2697 | + | 7.28408i | 0.325727 | + | 0.0758759i | ||||
\(97\) | 16.2959 | − | 9.40847i | 0.167999 | − | 0.0969945i | −0.413643 | − | 0.910439i | \(-0.635744\pi\) |
0.581642 | + | 0.813445i | \(0.302410\pi\) | |||||||
\(98\) | 2.60615 | − | 0.430391i | 0.0265934 | − | 0.00439174i | ||||
\(99\) | −41.5458 | − | 23.9865i | −0.419655 | − | 0.242288i | ||||
\(100\) | −39.0743 | + | 92.0500i | −0.390743 | + | 0.920500i | ||||
\(101\) | −39.7629 | + | 68.8713i | −0.393692 | + | 0.681894i | −0.992933 | − | 0.118674i | \(-0.962136\pi\) |
0.599241 | + | 0.800568i | \(0.295469\pi\) | |||||||
\(102\) | −28.5657 | − | 10.7500i | −0.280056 | − | 0.105392i | ||||
\(103\) | −121.938 | −1.18387 | −0.591933 | − | 0.805987i | \(-0.701635\pi\) | ||||
−0.591933 | + | 0.805987i | \(0.701635\pi\) | |||||||
\(104\) | −108.226 | − | 3.52917i | −1.04064 | − | 0.0339343i | ||||
\(105\) | −20.3013 | + | 28.0681i | −0.193346 | + | 0.267315i | ||||
\(106\) | 93.8976 | + | 35.3360i | 0.885826 | + | 0.333359i | ||||
\(107\) | 165.930 | 1.55075 | 0.775374 | − | 0.631502i | \(-0.217561\pi\) | ||||
0.775374 | + | 0.631502i | \(0.217561\pi\) | |||||||
\(108\) | −64.5791 | + | 21.9278i | −0.597955 | + | 0.203035i | ||||
\(109\) | 64.2507 | + | 111.285i | 0.589456 | + | 1.02097i | 0.994304 | + | 0.106584i | \(0.0339912\pi\) |
−0.404848 | + | 0.914384i | \(0.632675\pi\) | |||||||
\(110\) | 50.0471 | − | 33.1250i | 0.454974 | − | 0.301136i | ||||
\(111\) | 0.764501 | − | 0.441385i | 0.00688740 | − | 0.00397644i | ||||
\(112\) | 87.6385 | − | 67.2710i | 0.782486 | − | 0.600634i | ||||
\(113\) | 101.747i | 0.900415i | 0.892924 | + | 0.450208i | \(0.148650\pi\) | ||||
−0.892924 | + | 0.450208i | \(0.851350\pi\) | |||||||
\(114\) | 32.9720 | + | 19.1445i | 0.289228 | + | 0.167935i | ||||
\(115\) | −69.2916 | − | 7.13346i | −0.602536 | − | 0.0620301i | ||||
\(116\) | −8.17550 | + | 41.1193i | −0.0704784 | + | 0.354476i | ||||
\(117\) | 93.6981 | − | 54.0966i | 0.800838 | − | 0.462364i | ||||
\(118\) | −45.1977 | + | 37.0960i | −0.383032 | + | 0.314373i | ||||
\(119\) | −90.9541 | + | 52.5123i | −0.764320 | + | 0.441280i | ||||
\(120\) | 5.40895 | − | 39.7675i | 0.0450745 | − | 0.331396i | ||||
\(121\) | 84.9803 | 0.702316 | ||||||||
\(122\) | −80.3979 | + | 213.640i | −0.658999 | + | 1.75114i | ||||
\(123\) | 2.73667 | − | 4.74006i | 0.0222494 | − | 0.0385370i | ||||
\(124\) | −27.3294 | − | 80.4872i | −0.220398 | − | 0.649091i | ||||
\(125\) | 119.127 | + | 37.8657i | 0.953014 | + | 0.302926i | ||||
\(126\) | −38.8797 | + | 103.314i | −0.308569 | + | 0.819955i | ||||
\(127\) | −9.27897 | + | 16.0716i | −0.0730627 | + | 0.126548i | −0.900242 | − | 0.435389i | \(-0.856611\pi\) |
0.827179 | + | 0.561938i | \(0.189944\pi\) | |||||||
\(128\) | −52.7919 | + | 116.606i | −0.412436 | + | 0.910986i | ||||
\(129\) | −17.2629 | + | 29.9003i | −0.133821 | + | 0.231785i | ||||
\(130\) | 8.26233 | + | 135.102i | 0.0635564 | + | 1.03925i | ||||
\(131\) | 12.7942 | − | 7.38674i | 0.0976657 | − | 0.0563873i | −0.450372 | − | 0.892841i | \(-0.648709\pi\) |
0.548037 | + | 0.836454i | \(0.315375\pi\) | |||||||
\(132\) | −15.8800 | + | 18.1108i | −0.120303 | + | 0.137203i | ||||
\(133\) | 122.902 | − | 45.9066i | 0.924072 | − | 0.345162i | ||||
\(134\) | −55.9006 | + | 148.544i | −0.417169 | + | 1.10853i | ||||
\(135\) | 34.8405 | + | 77.8060i | 0.258078 | + | 0.576341i | ||||
\(136\) | 64.2418 | − | 103.338i | 0.472366 | − | 0.759842i | ||||
\(137\) | −111.970 | − | 64.6461i | −0.817302 | − | 0.471869i | 0.0321832 | − | 0.999482i | \(-0.489754\pi\) |
−0.849485 | + | 0.527612i | \(0.823087\pi\) | |||||||
\(138\) | 27.5826 | − | 4.55511i | 0.199874 | − | 0.0330081i | ||||
\(139\) | 162.441 | + | 93.7856i | 1.16864 | + | 0.674716i | 0.953360 | − | 0.301835i | \(-0.0975993\pi\) |
0.215283 | + | 0.976552i | \(0.430933\pi\) | |||||||
\(140\) | −93.9673 | − | 101.202i | −0.671195 | − | 0.722872i | ||||
\(141\) | −63.2924 | −0.448882 | ||||||||
\(142\) | −44.5032 | + | 36.5260i | −0.313403 | + | 0.257225i | ||||
\(143\) | 40.6176 | − | 70.3517i | 0.284039 | − | 0.491970i | ||||
\(144\) | −16.7149 | − | 126.796i | −0.116076 | − | 0.880527i | ||||
\(145\) | 52.1296 | + | 5.36667i | 0.359515 | + | 0.0370115i | ||||
\(146\) | 189.469 | − | 155.507i | 1.29773 | − | 1.06511i | ||||
\(147\) | 0.662569 | + | 1.14760i | 0.00450727 | + | 0.00780682i | ||||
\(148\) | 1.13153 | + | 3.33245i | 0.00764548 | + | 0.0225166i | ||||
\(149\) | 44.5933 | + | 77.2378i | 0.299284 | + | 0.518375i | 0.975972 | − | 0.217895i | \(-0.0699190\pi\) |
−0.676689 | + | 0.736269i | \(0.736586\pi\) | |||||||
\(150\) | −50.1239 | − | 2.08169i | −0.334159 | − | 0.0138779i | ||||
\(151\) | 279.823i | 1.85313i | 0.376135 | + | 0.926565i | \(0.377253\pi\) | ||||
−0.376135 | + | 0.926565i | \(0.622747\pi\) | |||||||
\(152\) | −100.491 | + | 114.042i | −0.661127 | + | 0.750274i | ||||
\(153\) | 121.577i | 0.794624i | ||||||||
\(154\) | 13.5047 | + | 81.7753i | 0.0876930 | + | 0.531009i | ||||
\(155\) | −96.9724 | + | 43.4229i | −0.625629 | + | 0.280148i | ||||
\(156\) | −17.4659 | − | 51.4384i | −0.111961 | − | 0.329734i | ||||
\(157\) | −79.7775 | + | 46.0595i | −0.508137 | + | 0.293373i | −0.732067 | − | 0.681232i | \(-0.761444\pi\) |
0.223931 | + | 0.974605i | \(0.428111\pi\) | |||||||
\(158\) | 192.835 | − | 158.270i | 1.22048 | − | 1.00171i | ||||
\(159\) | 50.3308i | 0.316546i | ||||||||
\(160\) | 151.291 | + | 52.0662i | 0.945572 | + | 0.325414i | ||||
\(161\) | 48.0988 | − | 83.3096i | 0.298751 | − | 0.517451i | ||||
\(162\) | 69.5746 | + | 84.7695i | 0.429473 | + | 0.523269i | ||||
\(163\) | −109.144 | −0.669593 | −0.334796 | − | 0.942291i | \(-0.608668\pi\) | ||||
−0.334796 | + | 0.942291i | \(0.608668\pi\) | |||||||
\(164\) | 16.4067 | + | 14.3858i | 0.100041 | + | 0.0877185i | ||||
\(165\) | 24.3960 | + | 17.6453i | 0.147854 | + | 0.106941i | ||||
\(166\) | 48.6728 | − | 8.03803i | 0.293210 | − | 0.0484219i | ||||
\(167\) | −1.56684 | + | 2.71384i | −0.00938225 | + | 0.0162505i | −0.870678 | − | 0.491853i | \(-0.836320\pi\) |
0.861296 | + | 0.508103i | \(0.169653\pi\) | |||||||
\(168\) | 47.0705 | + | 29.2620i | 0.280182 | + | 0.174179i | ||||
\(169\) | 7.10461 | + | 12.3056i | 0.0420391 | + | 0.0728139i | ||||
\(170\) | −136.118 | − | 67.8672i | −0.800696 | − | 0.399219i | ||||
\(171\) | 25.1137 | − | 149.782i | 0.146864 | − | 0.875918i | ||||
\(172\) | −103.494 | − | 90.7459i | −0.601707 | − | 0.527592i | ||||
\(173\) | −74.0559 | + | 42.7562i | −0.428069 | + | 0.247145i | −0.698523 | − | 0.715587i | \(-0.746159\pi\) |
0.270455 | + | 0.962733i | \(0.412826\pi\) | |||||||
\(174\) | −20.7510 | + | 3.42692i | −0.119259 | + | 0.0196949i | ||||
\(175\) | −114.961 | + | 128.777i | −0.656919 | + | 0.735870i | ||||
\(176\) | −58.4701 | − | 76.1729i | −0.332216 | − | 0.432800i | ||||
\(177\) | −25.4036 | − | 14.6668i | −0.143523 | − | 0.0828632i | ||||
\(178\) | 30.3204 | − | 80.5697i | 0.170339 | − | 0.452639i | ||||
\(179\) | − | 323.805i | − | 1.80897i | −0.426511 | − | 0.904483i | \(-0.640257\pi\) | ||
0.426511 | − | 0.904483i | \(-0.359743\pi\) | |||||||
\(180\) | −155.846 | + | 35.6277i | −0.865809 | + | 0.197932i | ||||
\(181\) | 94.6621 | − | 163.959i | 0.522995 | − | 0.905854i | −0.476647 | − | 0.879095i | \(-0.658148\pi\) |
0.999642 | − | 0.0267589i | \(-0.00851863\pi\) | |||||||
\(182\) | −174.947 | − | 65.8371i | −0.961250 | − | 0.361742i | ||||
\(183\) | −114.515 | −0.625764 | ||||||||
\(184\) | −3.63244 | + | 111.393i | −0.0197415 | + | 0.605398i | ||||
\(185\) | 4.01500 | − | 1.79786i | 0.0217027 | − | 0.00971817i | ||||
\(186\) | 32.9618 | − | 27.0534i | 0.177214 | − | 0.145448i | ||||
\(187\) | 45.6422 | + | 79.0547i | 0.244076 | + | 0.422752i | ||||
\(188\) | 49.2054 | − | 247.482i | 0.261731 | − | 1.31639i | ||||
\(189\) | −117.731 | −0.622916 | ||||||||
\(190\) | 153.677 | + | 111.729i | 0.808827 | + | 0.588047i | ||||
\(191\) | − | 22.6498i | − | 0.118586i | −0.998241 | − | 0.0592928i | \(-0.981115\pi\) | ||
0.998241 | − | 0.0592928i | \(-0.0188846\pi\) | |||||||
\(192\) | −64.0774 | − | 4.18347i | −0.333737 | − | 0.0217889i | ||||
\(193\) | 235.951 | − | 136.226i | 1.22254 | − | 0.705837i | 0.257085 | − | 0.966389i | \(-0.417238\pi\) |
0.965460 | + | 0.260552i | \(0.0839046\pi\) | |||||||
\(194\) | −29.0904 | + | 23.8759i | −0.149950 | + | 0.123072i | ||||
\(195\) | −61.9739 | + | 27.7511i | −0.317815 | + | 0.142313i | ||||
\(196\) | −5.00239 | + | 1.69856i | −0.0255224 | + | 0.00866611i | ||||
\(197\) | − | 48.5018i | − | 0.246202i | −0.992394 | − | 0.123101i | \(-0.960716\pi\) | ||
0.992394 | − | 0.123101i | \(-0.0392839\pi\) | |||||||
\(198\) | 89.7978 | + | 33.7932i | 0.453524 | + | 0.170673i | ||||
\(199\) | −126.361 | − | 72.9545i | −0.634979 | − | 0.366606i | 0.147699 | − | 0.989032i | \(-0.452813\pi\) |
−0.782678 | + | 0.622427i | \(0.786147\pi\) | |||||||
\(200\) | 47.1075 | − | 194.373i | 0.235538 | − | 0.971865i | ||||
\(201\) | −79.6221 | −0.396130 | ||||||||
\(202\) | 56.0196 | − | 148.860i | 0.277325 | − | 0.736929i | ||||
\(203\) | −36.1859 | + | 62.6757i | −0.178255 | + | 0.308747i | ||||
\(204\) | 59.8710 | + | 11.9038i | 0.293485 | + | 0.0583520i | ||||
\(205\) | 15.9851 | − | 22.1006i | 0.0779760 | − | 0.107808i | ||||
\(206\) | 240.617 | − | 39.7366i | 1.16805 | − | 0.192896i | ||||
\(207\) | −55.6796 | − | 96.4399i | −0.268984 | − | 0.465893i | ||||
\(208\) | 214.710 | − | 28.3042i | 1.03226 | − | 0.136078i | ||||
\(209\) | −39.9007 | − | 106.823i | −0.190913 | − | 0.511113i | ||||
\(210\) | 30.9134 | − | 62.0017i | 0.147207 | − | 0.295246i | ||||
\(211\) | 187.605 | − | 108.314i | 0.889123 | − | 0.513336i | 0.0154676 | − | 0.999880i | \(-0.495076\pi\) |
0.873656 | + | 0.486545i | \(0.161743\pi\) | |||||||
\(212\) | −196.801 | − | 39.1287i | −0.928305 | − | 0.184569i | ||||
\(213\) | −25.0133 | − | 14.4414i | −0.117433 | − | 0.0678000i | ||||
\(214\) | −327.425 | + | 54.0724i | −1.53002 | + | 0.252675i | ||||
\(215\) | −100.834 | + | 139.410i | −0.468995 | + | 0.648420i | ||||
\(216\) | 120.287 | − | 64.3142i | 0.556882 | − | 0.297751i | ||||
\(217\) | − | 146.733i | − | 0.676187i | ||||||
\(218\) | −163.049 | − | 198.659i | −0.747933 | − | 0.911280i | ||||
\(219\) | 106.492 | + | 61.4832i | 0.486265 | + | 0.280745i | ||||
\(220\) | −87.9620 | + | 81.6737i | −0.399827 | + | 0.371244i | ||||
\(221\) | −205.873 | −0.931554 | ||||||||
\(222\) | −1.36473 | + | 1.12010i | −0.00614745 | + | 0.00504552i | ||||
\(223\) | 83.3276 | + | 144.328i | 0.373666 | + | 0.647209i | 0.990126 | − | 0.140177i | \(-0.0447672\pi\) |
−0.616460 | + | 0.787386i | \(0.711434\pi\) | |||||||
\(224\) | −151.013 | + | 161.303i | −0.674164 | + | 0.720104i | ||||
\(225\) | 62.5618 | + | 189.787i | 0.278052 | + | 0.843498i | ||||
\(226\) | −33.1567 | − | 200.774i | −0.146711 | − | 0.888382i | ||||
\(227\) | 364.225 | 1.60452 | 0.802258 | − | 0.596978i | \(-0.203632\pi\) | ||||
0.802258 | + | 0.596978i | \(0.203632\pi\) | |||||||
\(228\) | −71.3015 | − | 27.0327i | −0.312726 | − | 0.118564i | ||||
\(229\) | −113.858 | −0.497195 | −0.248598 | − | 0.968607i | \(-0.579970\pi\) | ||||
−0.248598 | + | 0.968607i | \(0.579970\pi\) | |||||||
\(230\) | 139.056 | − | 8.50410i | 0.604591 | − | 0.0369744i | ||||
\(231\) | −36.0093 | + | 20.7900i | −0.155884 | + | 0.0899999i | ||||
\(232\) | 2.73277 | − | 83.8037i | 0.0117792 | − | 0.361223i | ||||
\(233\) | −1.03508 | + | 0.597606i | −0.00444242 | + | 0.00256483i | −0.502220 | − | 0.864740i | \(-0.667483\pi\) |
0.497777 | + | 0.867305i | \(0.334150\pi\) | |||||||
\(234\) | −167.263 | + | 137.281i | −0.714800 | + | 0.586672i | ||||
\(235\) | −313.750 | − | 32.3001i | −1.33511 | − | 0.137447i | ||||
\(236\) | 77.0988 | − | 87.9294i | 0.326690 | − | 0.372582i | ||||
\(237\) | 108.384 | + | 62.5756i | 0.457317 | + | 0.264032i | ||||
\(238\) | 162.365 | − | 133.261i | 0.682205 | − | 0.559919i | ||||
\(239\) | 35.4926i | 0.148505i | 0.997239 | + | 0.0742523i | \(0.0236570\pi\) | ||||
−0.997239 | + | 0.0742523i | \(0.976343\pi\) | |||||||
\(240\) | 2.28590 | + | 80.2348i | 0.00952457 | + | 0.334312i | ||||
\(241\) | 75.4215 | − | 130.634i | 0.312952 | − | 0.542049i | −0.666048 | − | 0.745909i | \(-0.732015\pi\) |
0.979000 | + | 0.203860i | \(0.0653487\pi\) | |||||||
\(242\) | −167.689 | + | 27.6929i | −0.692931 | + | 0.114434i | ||||
\(243\) | −104.233 | + | 180.537i | −0.428944 | + | 0.742953i | ||||
\(244\) | 89.0272 | − | 447.769i | 0.364866 | − | 1.83512i | ||||
\(245\) | 2.69880 | + | 6.02697i | 0.0110155 | + | 0.0245999i | ||||
\(246\) | −3.85554 | + | 10.2452i | −0.0156729 | + | 0.0416473i | ||||
\(247\) | 253.634 | + | 42.5264i | 1.02686 | + | 0.172172i | ||||
\(248\) | 80.1570 | + | 149.917i | 0.323214 | + | 0.604505i | ||||
\(249\) | 12.3742 | + | 21.4328i | 0.0496957 | + | 0.0860754i | ||||
\(250\) | −247.409 | − | 35.8990i | −0.989636 | − | 0.143596i | ||||
\(251\) | 310.772 | + | 179.424i | 1.23814 | + | 0.714839i | 0.968713 | − | 0.248183i | \(-0.0798335\pi\) |
0.269424 | + | 0.963022i | \(0.413167\pi\) | |||||||
\(252\) | 43.0528 | − | 216.537i | 0.170845 | − | 0.859275i | ||||
\(253\) | −72.4104 | − | 41.8061i | −0.286207 | − | 0.165242i | ||||
\(254\) | 13.0726 | − | 34.7375i | 0.0514669 | − | 0.136762i | ||||
\(255\) | 7.81405 | − | 75.9025i | 0.0306433 | − | 0.297657i | ||||
\(256\) | 66.1737 | − | 247.299i | 0.258491 | − | 0.966014i | ||||
\(257\) | 235.342 | + | 135.875i | 0.915727 | + | 0.528695i | 0.882269 | − | 0.470745i | \(-0.156015\pi\) |
0.0334575 | + | 0.999440i | \(0.489348\pi\) | |||||||
\(258\) | 24.3207 | − | 64.6269i | 0.0942664 | − | 0.250492i | ||||
\(259\) | 6.07524i | 0.0234565i | ||||||||
\(260\) | −60.3303 | − | 263.901i | −0.232040 | − | 1.01501i | ||||
\(261\) | 41.8890 | + | 72.5539i | 0.160494 | + | 0.277984i | ||||
\(262\) | −22.8393 | + | 18.7454i | −0.0871729 | + | 0.0715472i | ||||
\(263\) | 248.995 | + | 431.272i | 0.946748 | + | 1.63982i | 0.752213 | + | 0.658920i | \(0.228987\pi\) |
0.194535 | + | 0.980895i | \(0.437680\pi\) | |||||||
\(264\) | 25.4337 | − | 40.9124i | 0.0963399 | − | 0.154971i | ||||
\(265\) | −25.6854 | + | 249.497i | −0.0969260 | + | 0.941500i | ||||
\(266\) | −227.559 | + | 130.637i | −0.855483 | + | 0.491116i | ||||
\(267\) | 43.1869 | 0.161749 | ||||||||
\(268\) | 61.9006 | − | 311.334i | 0.230972 | − | 1.16169i | ||||
\(269\) | −37.9384 | − | 65.7112i | −0.141035 | − | 0.244279i | 0.786852 | − | 0.617142i | \(-0.211710\pi\) |
−0.927887 | + | 0.372863i | \(0.878376\pi\) | |||||||
\(270\) | −94.1048 | − | 142.179i | −0.348536 | − | 0.526588i | ||||
\(271\) | 223.195 | − | 128.862i | 0.823598 | − | 0.475505i | −0.0280574 | − | 0.999606i | \(-0.508932\pi\) |
0.851656 | + | 0.524102i | \(0.175599\pi\) | |||||||
\(272\) | −93.0911 | + | 224.850i | −0.342247 | + | 0.826654i | ||||
\(273\) | − | 93.7750i | − | 0.343498i | ||||||
\(274\) | 242.015 | + | 91.0761i | 0.883265 | + | 0.332395i | ||||
\(275\) | 111.930 | + | 99.9206i | 0.407016 | + | 0.363348i | ||||
\(276\) | −52.9437 | + | 17.9770i | −0.191825 | + | 0.0651339i | ||||
\(277\) | − | 199.744i | − | 0.721098i | −0.932740 | − | 0.360549i | \(-0.882589\pi\) | ||
0.932740 | − | 0.360549i | \(-0.117411\pi\) | |||||||
\(278\) | −351.103 | − | 132.129i | −1.26296 | − | 0.475284i | ||||
\(279\) | −147.102 | − | 84.9294i | −0.527247 | − | 0.304406i | ||||
\(280\) | 218.402 | + | 169.078i | 0.780008 | + | 0.603849i | ||||
\(281\) | −36.7573 | + | 63.6655i | −0.130809 | + | 0.226568i | −0.923989 | − | 0.382420i | \(-0.875091\pi\) |
0.793180 | + | 0.608988i | \(0.208424\pi\) | |||||||
\(282\) | 124.893 | − | 20.6254i | 0.442884 | − | 0.0731397i | ||||
\(283\) | 103.313 | + | 178.943i | 0.365064 | + | 0.632309i | 0.988786 | − | 0.149337i | \(-0.0477138\pi\) |
−0.623723 | + | 0.781646i | \(0.714380\pi\) | |||||||
\(284\) | 75.9140 | − | 86.5782i | 0.267303 | − | 0.304853i | ||||
\(285\) | −25.3057 | + | 91.8969i | −0.0887919 | + | 0.322445i | ||||
\(286\) | −57.2237 | + | 152.059i | −0.200083 | + | 0.531676i | ||||
\(287\) | 18.8338 | + | 32.6212i | 0.0656231 | + | 0.113663i | ||||
\(288\) | 74.3026 | + | 244.756i | 0.257995 | + | 0.849847i | ||||
\(289\) | −28.8293 | + | 49.9339i | −0.0997555 | + | 0.172782i | ||||
\(290\) | −104.615 | + | 6.39783i | −0.360741 | + | 0.0220615i | ||||
\(291\) | −16.3504 | − | 9.43991i | −0.0561869 | − | 0.0324395i | ||||
\(292\) | −323.198 | + | 368.600i | −1.10684 | + | 1.26233i | ||||
\(293\) | − | 454.735i | − | 1.55200i | −0.630735 | − | 0.775998i | \(-0.717246\pi\) | ||
0.630735 | − | 0.775998i | \(-0.282754\pi\) | |||||||
\(294\) | −1.68140 | − | 2.04862i | −0.00571906 | − | 0.00696809i | ||||
\(295\) | −118.445 | − | 85.6697i | −0.401507 | − | 0.290406i | ||||
\(296\) | −3.31878 | − | 6.20710i | −0.0112121 | − | 0.0209699i | ||||
\(297\) | 102.329i | 0.344541i | ||||||||
\(298\) | −113.165 | − | 137.879i | −0.379747 | − | 0.462683i | ||||
\(299\) | 163.307 | − | 94.2852i | 0.546176 | − | 0.315335i | ||||
\(300\) | 99.5864 | − | 12.2264i | 0.331955 | − | 0.0407545i | ||||
\(301\) | −118.804 | − | 205.774i | −0.394697 | − | 0.683636i | ||||
\(302\) | −91.1871 | − | 552.166i | −0.301944 | − | 1.82837i | ||||
\(303\) | 79.7915 | 0.263338 | ||||||||
\(304\) | 161.133 | − | 257.783i | 0.530044 | − | 0.847970i | ||||
\(305\) | −567.666 | − | 58.4404i | −1.86120 | − | 0.191608i | ||||
\(306\) | −39.6190 | − | 239.905i | −0.129474 | − | 0.784005i | ||||
\(307\) | −119.385 | − | 206.781i | −0.388877 | − | 0.673554i | 0.603422 | − | 0.797422i | \(-0.293803\pi\) |
−0.992299 | + | 0.123868i | \(0.960470\pi\) | |||||||
\(308\) | −53.2970 | − | 156.964i | −0.173042 | − | 0.509624i | ||||
\(309\) | 61.1729 | + | 105.954i | 0.197970 | + | 0.342895i | ||||
\(310\) | 177.203 | − | 117.286i | 0.571621 | − | 0.378343i | ||||
\(311\) | − | 393.513i | − | 1.26532i | −0.774432 | − | 0.632658i | \(-0.781964\pi\) | ||
0.774432 | − | 0.632658i | \(-0.218036\pi\) | |||||||
\(312\) | 51.2274 | + | 95.8104i | 0.164190 | + | 0.307085i | ||||
\(313\) | 496.323 | + | 286.552i | 1.58570 | + | 0.915503i | 0.994005 | + | 0.109339i | \(0.0348733\pi\) |
0.591692 | + | 0.806164i | \(0.298460\pi\) | |||||||
\(314\) | 142.413 | − | 116.885i | 0.453545 | − | 0.372247i | ||||
\(315\) | −274.519 | − | 28.2613i | −0.871488 | − | 0.0897184i | ||||
\(316\) | −328.941 | + | 375.149i | −1.04095 | + | 1.18718i | ||||
\(317\) | −179.923 | − | 103.879i | −0.567582 | − | 0.327694i | 0.188601 | − | 0.982054i | \(-0.439605\pi\) |
−0.756183 | + | 0.654360i | \(0.772938\pi\) | |||||||
\(318\) | −16.4015 | − | 99.3165i | −0.0515772 | − | 0.312316i | ||||
\(319\) | 54.4760 | + | 31.4517i | 0.170771 | + | 0.0985947i | ||||
\(320\) | −315.506 | − | 53.4388i | −0.985958 | − | 0.166996i | ||||
\(321\) | −83.2423 | − | 144.180i | −0.259322 | − | 0.449158i | ||||
\(322\) | −67.7636 | + | 180.067i | −0.210446 | + | 0.559214i | ||||
\(323\) | −183.890 | + | 222.932i | −0.569318 | + | 0.690192i | ||||
\(324\) | −164.914 | − | 144.601i | −0.508993 | − | 0.446299i | ||||
\(325\) | −321.376 | + | 105.939i | −0.988850 | + | 0.325966i | ||||
\(326\) | 215.370 | − | 35.5671i | 0.660644 | − | 0.109102i | ||||
\(327\) | 64.4654 | − | 111.657i | 0.197142 | − | 0.341460i | ||||
\(328\) | −37.0629 | − | 23.0407i | −0.112997 | − | 0.0702459i | ||||
\(329\) | 217.790 | − | 377.223i | 0.661975 | − | 1.14657i | ||||
\(330\) | −53.8901 | − | 26.8690i | −0.163303 | − | 0.0814214i | ||||
\(331\) | 406.609i | 1.22843i | 0.789140 | + | 0.614214i | \(0.210527\pi\) | ||||
−0.789140 | + | 0.614214i | \(0.789473\pi\) | |||||||
\(332\) | −93.4253 | + | 31.7225i | −0.281402 | + | 0.0955496i | ||||
\(333\) | 6.09054 | + | 3.51637i | 0.0182899 | + | 0.0105597i | ||||
\(334\) | 2.20742 | − | 5.86574i | 0.00660905 | − | 0.0175621i | ||||
\(335\) | −394.698 | − | 40.6336i | −1.17820 | − | 0.121294i | ||||
\(336\) | −102.419 | − | 42.4029i | −0.304818 | − | 0.126199i | ||||
\(337\) | −36.2878 | + | 20.9508i | −0.107679 | + | 0.0621685i | −0.552872 | − | 0.833266i | \(-0.686468\pi\) |
0.445193 | + | 0.895434i | \(0.353135\pi\) | |||||||
\(338\) | −18.0294 | − | 21.9670i | −0.0533415 | − | 0.0649911i | ||||
\(339\) | 88.4098 | − | 51.0434i | 0.260796 | − | 0.150571i | ||||
\(340\) | 290.715 | + | 89.5629i | 0.855043 | + | 0.263420i | ||||
\(341\) | −127.536 | −0.374005 | ||||||||
\(342\) | −0.746111 | + | 303.745i | −0.00218161 | + | 0.888142i | ||||
\(343\) | −347.466 | −1.01302 | ||||||||
\(344\) | 233.793 | + | 145.340i | 0.679630 | + | 0.422501i | ||||
\(345\) | 28.5632 | + | 63.7874i | 0.0827918 | + | 0.184891i | ||||
\(346\) | 132.199 | − | 108.503i | 0.382079 | − | 0.313591i | ||||
\(347\) | 245.385 | + | 425.019i | 0.707162 | + | 1.22484i | 0.965906 | + | 0.258894i | \(0.0833580\pi\) |
−0.258744 | + | 0.965946i | \(0.583309\pi\) | |||||||
\(348\) | 39.8307 | − | 13.5245i | 0.114456 | − | 0.0388634i | ||||
\(349\) | 326.096 | 0.934373 | 0.467186 | − | 0.884159i | \(-0.345268\pi\) | ||||
0.467186 | + | 0.884159i | \(0.345268\pi\) | |||||||
\(350\) | 184.884 | − | 291.575i | 0.528239 | − | 0.833073i | ||||
\(351\) | −199.862 | − | 115.391i | −0.569408 | − | 0.328748i | ||||
\(352\) | 140.200 | + | 131.256i | 0.398296 | + | 0.372886i | ||||
\(353\) | 100.628i | 0.285066i | 0.989790 | + | 0.142533i | \(0.0455247\pi\) | ||||
−0.989790 | + | 0.142533i | \(0.954475\pi\) | |||||||
\(354\) | 54.9078 | + | 20.6632i | 0.155107 | + | 0.0583706i | ||||
\(355\) | −116.625 | − | 84.3532i | −0.328520 | − | 0.237615i | ||||
\(356\) | −33.5748 | + | 168.867i | −0.0943112 | + | 0.474345i | ||||
\(357\) | 91.2580 | + | 52.6878i | 0.255625 | + | 0.147585i | ||||
\(358\) | 105.520 | + | 638.955i | 0.294748 | + | 1.78479i | ||||
\(359\) | −312.960 | + | 180.688i | −0.871755 | + | 0.503308i | −0.867931 | − | 0.496685i | \(-0.834551\pi\) |
−0.00382402 | + | 0.999993i | \(0.501217\pi\) | |||||||
\(360\) | 295.916 | − | 121.089i | 0.821988 | − | 0.336359i | ||||
\(361\) | 272.600 | − | 236.664i | 0.755126 | − | 0.655580i | ||||
\(362\) | −133.364 | + | 354.385i | −0.368408 | + | 0.978964i | ||||
\(363\) | −42.6321 | − | 73.8410i | −0.117444 | − | 0.203419i | ||||
\(364\) | 366.674 | + | 72.9036i | 1.00735 | + | 0.200285i | ||||
\(365\) | 496.520 | + | 359.127i | 1.36033 | + | 0.983911i | ||||
\(366\) | 225.969 | − | 37.3175i | 0.617401 | − | 0.101960i | ||||
\(367\) | 167.801 | − | 290.639i | 0.457222 | − | 0.791932i | −0.541591 | − | 0.840642i | \(-0.682178\pi\) |
0.998813 | + | 0.0487103i | \(0.0155111\pi\) | |||||||
\(368\) | −29.1325 | − | 220.993i | −0.0791643 | − | 0.600525i | ||||
\(369\) | 43.6044 | 0.118169 | ||||||||
\(370\) | −7.33681 | + | 4.85606i | −0.0198292 | + | 0.0131245i | ||||
\(371\) | −299.972 | − | 173.189i | −0.808550 | − | 0.466817i | ||||
\(372\) | −56.2266 | + | 64.1251i | −0.151147 | + | 0.172379i | ||||
\(373\) | 200.426i | 0.537335i | 0.963233 | + | 0.268667i | \(0.0865832\pi\) | ||||
−0.963233 | + | 0.268667i | \(0.913417\pi\) | |||||||
\(374\) | −115.827 | − | 141.123i | −0.309697 | − | 0.377334i | ||||
\(375\) | −26.8602 | − | 122.508i | −0.0716271 | − | 0.326687i | ||||
\(376\) | −16.4475 | + | 504.385i | −0.0437435 | + | 1.34145i | ||||
\(377\) | −122.859 | + | 70.9329i | −0.325887 | + | 0.188151i | ||||
\(378\) | 232.316 | − | 38.3656i | 0.614592 | − | 0.101496i | ||||
\(379\) | 323.754i | 0.854233i | 0.904197 | + | 0.427116i | \(0.140471\pi\) | ||||
−0.904197 | + | 0.427116i | \(0.859529\pi\) | |||||||
\(380\) | −339.656 | − | 170.392i | −0.893833 | − | 0.448401i | ||||
\(381\) | 18.6199 | 0.0488713 | ||||||||
\(382\) | 7.38101 | + | 44.6943i | 0.0193220 | + | 0.117001i | ||||
\(383\) | 46.1398 | + | 79.9164i | 0.120469 | + | 0.208659i | 0.919953 | − | 0.392029i | \(-0.128227\pi\) |
−0.799484 | + | 0.600688i | \(0.794893\pi\) | |||||||
\(384\) | 127.806 | − | 12.6261i | 0.332827 | − | 0.0328805i | ||||
\(385\) | −189.113 | + | 84.6823i | −0.491203 | + | 0.219954i | ||||
\(386\) | −421.203 | + | 345.702i | −1.09120 | + | 0.895602i | ||||
\(387\) | −275.057 | −0.710741 | ||||||||
\(388\) | 49.6227 | − | 56.5935i | 0.127893 | − | 0.145860i | ||||
\(389\) | 229.618 | − | 397.710i | 0.590278 | − | 1.02239i | −0.403917 | − | 0.914796i | \(-0.632351\pi\) |
0.994195 | − | 0.107596i | \(-0.0343152\pi\) | |||||||
\(390\) | 113.248 | − | 74.9562i | 0.290380 | − | 0.192195i | ||||
\(391\) | 211.898i | 0.541938i | ||||||||
\(392\) | 9.31757 | − | 4.98187i | 0.0237693 | − | 0.0127088i | ||||
\(393\) | −12.8370 | − | 7.41142i | −0.0326640 | − | 0.0188586i | ||||
\(394\) | 15.8055 | + | 95.7073i | 0.0401155 | + | 0.242912i | ||||
\(395\) | 505.342 | + | 365.508i | 1.27935 | + | 0.925337i | ||||
\(396\) | −188.208 | − | 37.4203i | −0.475273 | − | 0.0944957i | ||||
\(397\) | −548.495 | + | 316.674i | −1.38160 | + | 0.797667i | −0.992349 | − | 0.123464i | \(-0.960600\pi\) |
−0.389251 | + | 0.921132i | \(0.627266\pi\) | |||||||
\(398\) | 273.119 | + | 102.781i | 0.686228 | + | 0.258245i | ||||
\(399\) | −101.545 | − | 83.7616i | −0.254499 | − | 0.209929i | ||||
\(400\) | −29.6148 | + | 398.902i | −0.0740369 | + | 0.997256i | ||||
\(401\) | 351.800 | + | 609.336i | 0.877308 | + | 1.51954i | 0.854284 | + | 0.519807i | \(0.173996\pi\) |
0.0230243 | + | 0.999735i | \(0.492670\pi\) | |||||||
\(402\) | 157.116 | − | 25.9468i | 0.390836 | − | 0.0645443i | ||||
\(403\) | 143.815 | − | 249.096i | 0.356862 | − | 0.618103i | ||||
\(404\) | −62.0324 | + | 311.996i | −0.153545 | + | 0.772268i | ||||
\(405\) | −160.676 | + | 222.146i | −0.396730 | + | 0.548509i | ||||
\(406\) | 50.9801 | − | 135.468i | 0.125567 | − | 0.333666i | ||||
\(407\) | 5.28043 | 0.0129740 | ||||||||
\(408\) | −122.021 | − | 3.97900i | −0.299071 | − | 0.00975245i | ||||
\(409\) | −279.657 | + | 484.380i | −0.683758 | + | 1.18430i | 0.290067 | + | 0.957006i | \(0.406322\pi\) |
−0.973825 | + | 0.227297i | \(0.927011\pi\) | |||||||
\(410\) | −24.3409 | + | 48.8196i | −0.0593681 | + | 0.119072i | ||||
\(411\) | 129.724i | 0.315631i | ||||||||
\(412\) | −461.855 | + | 156.822i | −1.12101 | + | 0.380637i | ||||
\(413\) | 174.828 | − | 100.937i | 0.423313 | − | 0.244400i | ||||
\(414\) | 141.298 | + | 172.158i | 0.341300 | + | 0.415840i | ||||
\(415\) | 50.4031 | + | 112.560i | 0.121453 | + | 0.271230i | ||||
\(416\) | −414.458 | + | 125.821i | −0.996293 | + | 0.302453i | ||||
\(417\) | − | 188.198i | − | 0.451314i | ||||||
\(418\) | 113.546 | + | 197.787i | 0.271641 | + | 0.473176i | ||||
\(419\) | 692.596i | 1.65297i | 0.562956 | + | 0.826487i | \(0.309664\pi\) | ||||
−0.562956 | + | 0.826487i | \(0.690336\pi\) | |||||||
\(420\) | −40.7958 | + | 132.420i | −0.0971328 | + | 0.315286i | ||||
\(421\) | 305.143 | + | 528.522i | 0.724804 | + | 1.25540i | 0.959055 | + | 0.283221i | \(0.0914031\pi\) |
−0.234250 | + | 0.972176i | \(0.575264\pi\) | |||||||
\(422\) | −334.899 | + | 274.868i | −0.793600 | + | 0.651347i | ||||
\(423\) | −252.115 | − | 436.677i | −0.596017 | − | 1.03233i | ||||
\(424\) | 401.093 | + | 13.0793i | 0.945973 | + | 0.0308474i | ||||
\(425\) | 77.4708 | − | 372.272i | 0.182284 | − | 0.875935i | ||||
\(426\) | 54.0641 | + | 20.3457i | 0.126911 | + | 0.0477597i | ||||
\(427\) | 394.046 | − | 682.508i | 0.922825 | − | 1.59838i | ||||
\(428\) | 628.479 | − | 213.399i | 1.46841 | − | 0.498596i | ||||
\(429\) | −81.5066 | −0.189992 | ||||||||
\(430\) | 153.543 | − | 307.954i | 0.357076 | − | 0.716172i | ||||
\(431\) | −486.829 | − | 281.071i | −1.12953 | − | 0.652137i | −0.185717 | − | 0.982603i | \(-0.559461\pi\) |
−0.943818 | + | 0.330466i | \(0.892794\pi\) | |||||||
\(432\) | −216.400 | + | 166.108i | −0.500925 | + | 0.384509i | ||||
\(433\) | −225.866 | − | 130.404i | −0.521629 | − | 0.301163i | 0.215972 | − | 0.976400i | \(-0.430708\pi\) |
−0.737601 | + | 0.675237i | \(0.764041\pi\) | |||||||
\(434\) | 47.8164 | + | 289.543i | 0.110176 | + | 0.667151i | ||||
\(435\) | −21.4887 | − | 47.9887i | −0.0493993 | − | 0.110319i | ||||
\(436\) | 386.479 | + | 338.875i | 0.886419 | + | 0.777235i | ||||
\(437\) | 43.7708 | − | 261.056i | 0.100162 | − | 0.597381i | ||||
\(438\) | −230.174 | − | 86.6201i | −0.525511 | − | 0.197763i | ||||
\(439\) | −42.0098 | + | 24.2544i | −0.0956944 | + | 0.0552492i | −0.547083 | − | 0.837078i | \(-0.684262\pi\) |
0.451389 | + | 0.892327i | \(0.350929\pi\) | |||||||
\(440\) | 146.958 | − | 189.829i | 0.333994 | − | 0.431430i | ||||
\(441\) | −5.27848 | + | 9.14259i | −0.0119693 | + | 0.0207315i | ||||
\(442\) | 406.244 | − | 67.0889i | 0.919105 | − | 0.151785i | ||||
\(443\) | 194.496 | − | 336.877i | 0.439043 | − | 0.760445i | −0.558573 | − | 0.829455i | \(-0.688651\pi\) |
0.997616 | + | 0.0690108i | \(0.0219843\pi\) | |||||||
\(444\) | 2.32798 | − | 2.65500i | 0.00524319 | − | 0.00597974i | ||||
\(445\) | 214.084 | + | 22.0396i | 0.481087 | + | 0.0495272i | ||||
\(446\) | −211.461 | − | 257.643i | −0.474127 | − | 0.577676i | ||||
\(447\) | 44.7423 | − | 77.4959i | 0.100095 | − | 0.173369i | ||||
\(448\) | 245.425 | − | 367.507i | 0.547823 | − | 0.820327i | ||||
\(449\) | −235.022 | −0.523434 | −0.261717 | − | 0.965145i | \(-0.584289\pi\) | ||||
−0.261717 | + | 0.965145i | \(0.584289\pi\) | |||||||
\(450\) | −185.298 | − | 354.114i | −0.411774 | − | 0.786921i | ||||
\(451\) | 28.3534 | − | 16.3698i | 0.0628678 | − | 0.0362968i | ||||
\(452\) | 130.855 | + | 385.378i | 0.289501 | + | 0.852606i | ||||
\(453\) | 243.143 | − | 140.379i | 0.536740 | − | 0.309887i | ||||
\(454\) | −718.715 | + | 118.692i | −1.58307 | + | 0.261436i | ||||
\(455\) | 47.8563 | − | 464.857i | 0.105179 | − | 1.02166i | ||||
\(456\) | 149.507 | + | 30.1075i | 0.327865 | + | 0.0660251i | ||||
\(457\) | − | 824.105i | − | 1.80329i | −0.432474 | − | 0.901646i | \(-0.642359\pi\) | ||
0.432474 | − | 0.901646i | \(-0.357641\pi\) | |||||||
\(458\) | 224.672 | − | 37.1033i | 0.490551 | − | 0.0810116i | ||||
\(459\) | 224.587 | − | 129.665i | 0.489295 | − | 0.282495i | ||||
\(460\) | −271.624 | + | 62.0957i | −0.590486 | + | 0.134991i | ||||
\(461\) | 140.132 | + | 242.716i | 0.303974 | + | 0.526498i | 0.977032 | − | 0.213091i | \(-0.0683531\pi\) |
−0.673059 | + | 0.739589i | \(0.735020\pi\) | |||||||
\(462\) | 64.2812 | − | 52.7588i | 0.139137 | − | 0.114197i | ||||
\(463\) | −343.335 | −0.741543 | −0.370772 | − | 0.928724i | \(-0.620907\pi\) | ||||
−0.370772 | + | 0.928724i | \(0.620907\pi\) | |||||||
\(464\) | 21.9170 | + | 166.258i | 0.0472349 | + | 0.358315i | ||||
\(465\) | 86.3793 | + | 62.4772i | 0.185762 | + | 0.134360i | ||||
\(466\) | 1.84776 | − | 1.51655i | 0.00396515 | − | 0.00325440i | ||||
\(467\) | 592.239 | 1.26818 | 0.634089 | − | 0.773260i | \(-0.281375\pi\) | ||||
0.634089 | + | 0.773260i | \(0.281375\pi\) | |||||||
\(468\) | 285.319 | − | 325.400i | 0.609657 | − | 0.695299i | ||||
\(469\) | 273.980 | − | 474.548i | 0.584180 | − | 1.01183i | ||||
\(470\) | 629.640 | − | 38.5063i | 1.33966 | − | 0.0819283i | ||||
\(471\) | 80.0440 | + | 46.2134i | 0.169945 | + | 0.0981177i | ||||
\(472\) | −123.483 | + | 198.633i | −0.261616 | + | 0.420833i | ||||
\(473\) | −178.853 | + | 103.261i | −0.378125 | + | 0.218311i | ||||
\(474\) | −234.263 | − | 88.1591i | −0.494226 | − | 0.185990i | ||||
\(475\) | −172.342 | + | 442.632i | −0.362825 | + | 0.931857i | ||||
\(476\) | −276.964 | + | 315.871i | −0.581856 | + | 0.663593i | ||||
\(477\) | −347.250 | + | 200.485i | −0.727988 | + | 0.420304i | ||||
\(478\) | −11.5661 | − | 70.0366i | −0.0241969 | − | 0.146520i | ||||
\(479\) | −637.416 | − | 368.012i | −1.33072 | − | 0.768293i | −0.345312 | − | 0.938488i | \(-0.612227\pi\) |
−0.985410 | + | 0.170195i | \(0.945560\pi\) | |||||||
\(480\) | −30.6572 | − | 157.580i | −0.0638691 | − | 0.328292i | ||||
\(481\) | −5.95446 | + | 10.3134i | −0.0123793 | + | 0.0214416i | ||||
\(482\) | −106.257 | + | 282.354i | −0.220450 | + | 0.585797i | ||||
\(483\) | −96.5191 | −0.199833 | ||||||||
\(484\) | 321.872 | − | 109.291i | 0.665025 | − | 0.225809i | ||||
\(485\) | −76.2339 | − | 55.1391i | −0.157183 | − | 0.113689i | ||||
\(486\) | 146.848 | − | 390.217i | 0.302157 | − | 0.802915i | ||||
\(487\) | 832.306 | 1.70905 | 0.854523 | − | 0.519413i | \(-0.173849\pi\) | ||||
0.854523 | + | 0.519413i | \(0.173849\pi\) | |||||||
\(488\) | −29.7585 | + | 912.582i | −0.0609805 | + | 1.87004i | ||||
\(489\) | 54.7542 | + | 94.8370i | 0.111972 | + | 0.193941i | ||||
\(490\) | −7.28950 | − | 11.0134i | −0.0148765 | − | 0.0224763i | ||||
\(491\) | 0.256008 | − | 0.147807i | 0.000521402 | − | 0.000301032i | −0.499739 | − | 0.866176i | \(-0.666571\pi\) |
0.500261 | + | 0.865875i | \(0.333238\pi\) | |||||||
\(492\) | 4.26936 | − | 21.4731i | 0.00867757 | − | 0.0436444i | ||||
\(493\) | − | 159.416i | − | 0.323358i | ||||||
\(494\) | −514.347 | − | 1.26343i | −1.04119 | − | 0.00255755i | ||||
\(495\) | −24.5639 | + | 238.604i | −0.0496241 | + | 0.482028i | ||||
\(496\) | −207.026 | − | 269.707i | −0.417391 | − | 0.543763i | ||||
\(497\) | 172.142 | − | 99.3861i | 0.346362 | − | 0.199972i | ||||
\(498\) | −31.4021 | − | 38.2603i | −0.0630565 | − | 0.0768279i | ||||
\(499\) | 789.604 | − | 455.878i | 1.58237 | − | 0.913583i | 0.587861 | − | 0.808962i | \(-0.299970\pi\) |
0.994512 | − | 0.104621i | \(-0.0333631\pi\) | |||||||
\(500\) | 499.904 | − | 9.78581i | 0.999808 | − | 0.0195716i | ||||
\(501\) | 3.14414 | 0.00627574 | ||||||||
\(502\) | −671.708 | − | 252.781i | −1.33806 | − | 0.503547i | ||||
\(503\) | 204.834 | − | 354.783i | 0.407225 | − | 0.705335i | −0.587352 | − | 0.809331i | \(-0.699830\pi\) |
0.994578 | + | 0.103996i | \(0.0331631\pi\) | |||||||
\(504\) | −14.3910 | + | 441.317i | −0.0285535 | + | 0.875629i | ||||
\(505\) | 395.538 | + | 40.7201i | 0.783244 | + | 0.0806338i | ||||
\(506\) | 156.509 | + | 58.8982i | 0.309306 | + | 0.116400i | ||||
\(507\) | 7.12835 | − | 12.3467i | 0.0140599 | − | 0.0243524i | ||||
\(508\) | −14.4757 | + | 72.8066i | −0.0284955 | + | 0.143320i | ||||
\(509\) | −442.070 | + | 765.687i | −0.868506 | + | 1.50430i | −0.00498359 | + | 0.999988i | \(0.501586\pi\) |
−0.863523 | + | 0.504310i | \(0.831747\pi\) | |||||||
\(510\) | 9.31546 | + | 152.323i | 0.0182656 | + | 0.298672i | ||||
\(511\) | −732.880 | + | 423.129i | −1.43421 | + | 0.828040i | ||||
\(512\) | −49.9901 | + | 509.554i | −0.0976369 | + | 0.995222i | ||||
\(513\) | −303.473 | + | 113.354i | −0.591564 | + | 0.220963i | ||||
\(514\) | −508.672 | − | 191.426i | −0.989634 | − | 0.372424i | ||||
\(515\) | 249.171 | + | 556.451i | 0.483827 | + | 1.08049i | ||||
\(516\) | −26.9311 | + | 135.452i | −0.0521921 | + | 0.262504i | ||||
\(517\) | −327.872 | − | 189.297i | −0.634181 | − | 0.366145i | ||||
\(518\) | −1.97977 | − | 11.9881i | −0.00382194 | − | 0.0231431i | ||||
\(519\) | 74.3033 | + | 42.8990i | 0.143166 | + | 0.0826571i | ||||
\(520\) | 205.047 | + | 501.089i | 0.394321 | + | 0.963633i | ||||
\(521\) | −559.239 | −1.07340 | −0.536698 | − | 0.843774i | \(-0.680329\pi\) | ||||
−0.536698 | + | 0.843774i | \(0.680329\pi\) | |||||||
\(522\) | −106.302 | − | 129.518i | −0.203644 | − | 0.248119i | ||||
\(523\) | 110.754 | − | 191.831i | 0.211767 | − | 0.366790i | −0.740501 | − | 0.672055i | \(-0.765412\pi\) |
0.952267 | + | 0.305265i | \(0.0987450\pi\) | |||||||
\(524\) | 38.9595 | − | 44.4324i | 0.0743503 | − | 0.0847948i | ||||
\(525\) | 169.569 | + | 35.2878i | 0.322989 | + | 0.0672149i | ||||
\(526\) | −631.875 | − | 769.875i | −1.20128 | − | 1.46364i | ||||
\(527\) | 161.606 | + | 279.910i | 0.306653 | + | 0.531139i | ||||
\(528\) | −36.8554 | + | 89.0195i | −0.0698018 | + | 0.168597i | ||||
\(529\) | 167.456 | + | 290.042i | 0.316552 | + | 0.548283i | ||||
\(530\) | −30.6206 | − | 500.697i | −0.0577748 | − | 0.944711i | ||||
\(531\) | − | 233.691i | − | 0.440097i | ||||||
\(532\) | 406.464 | − | 331.938i | 0.764030 | − | 0.623943i | ||||
\(533\) | 73.8376i | 0.138532i | ||||||||
\(534\) | −85.2195 | + | 14.0735i | −0.159587 | + | 0.0263549i | ||||
\(535\) | −339.065 | − | 757.202i | −0.633766 | − | 1.41533i | ||||
\(536\) | −20.6911 | + | 634.518i | −0.0386028 | + | 1.18380i | ||||
\(537\) | −281.360 | + | 162.443i | −0.523948 | + | 0.302502i | ||||
\(538\) | 96.2763 | + | 117.303i | 0.178952 | + | 0.218035i | ||||
\(539\) | 7.92652i | 0.0147060i | ||||||||
\(540\) | 232.027 | + | 249.891i | 0.429680 | + | 0.462762i | ||||
\(541\) | 44.3478 | − | 76.8126i | 0.0819737 | − | 0.141983i | −0.822124 | − | 0.569309i | \(-0.807211\pi\) |
0.904098 | + | 0.427326i | \(0.140544\pi\) | |||||||
\(542\) | −398.432 | + | 327.013i | −0.735115 | + | 0.603345i | ||||
\(543\) | −189.957 | −0.349828 | ||||||||
\(544\) | 110.421 | − | 474.026i | 0.202980 | − | 0.871371i | ||||
\(545\) | 376.547 | − | 520.603i | 0.690911 | − | 0.955235i | ||||
\(546\) | 30.5589 | + | 185.044i | 0.0559687 | + | 0.338908i | ||||
\(547\) | 258.224 | − | 447.257i | 0.472073 | − | 0.817655i | −0.527416 | − | 0.849607i | \(-0.676839\pi\) |
0.999489 | + | 0.0319522i | \(0.0101724\pi\) | |||||||
\(548\) | −507.240 | − | 100.852i | −0.925621 | − | 0.184036i | ||||
\(549\) | −456.151 | − | 790.077i | −0.830877 | − | 1.43912i | ||||
\(550\) | −253.429 | − | 160.696i | −0.460780 | − | 0.292174i | ||||
\(551\) | −32.9298 | + | 196.398i | −0.0597637 | + | 0.356439i | ||||
\(552\) | 98.6141 | − | 52.7265i | 0.178649 | − | 0.0955189i | ||||
\(553\) | −745.902 | + | 430.647i | −1.34883 | + | 0.778746i | ||||
\(554\) | 65.0916 | + | 394.150i | 0.117494 | + | 0.711462i | ||||
\(555\) | −3.57640 | − | 2.58677i | −0.00644397 | − | 0.00466085i | ||||
\(556\) | 735.880 | + | 146.311i | 1.32353 | + | 0.263149i | ||||
\(557\) | 556.499 | + | 321.295i | 0.999100 | + | 0.576831i | 0.907982 | − | 0.419009i | \(-0.137623\pi\) |
0.0911181 | + | 0.995840i | \(0.470956\pi\) | |||||||
\(558\) | 317.949 | + | 119.652i | 0.569801 | + | 0.214430i | ||||
\(559\) | − | 465.768i | − | 0.833216i | ||||||
\(560\) | −486.065 | − | 262.465i | −0.867974 | − | 0.468687i | ||||
\(561\) | 45.7948 | − | 79.3188i | 0.0816306 | − | 0.141388i | ||||
\(562\) | 51.7852 | − | 137.608i | 0.0921445 | − | 0.244853i | ||||
\(563\) | −29.3254 | −0.0520877 | −0.0260438 | − | 0.999661i | \(-0.508291\pi\) | ||||
−0.0260438 | + | 0.999661i | \(0.508291\pi\) | |||||||
\(564\) | −239.727 | + | 81.3991i | −0.425048 | + | 0.144325i | ||||
\(565\) | 464.310 | − | 207.912i | 0.821787 | − | 0.367985i | ||||
\(566\) | −262.178 | − | 319.437i | −0.463212 | − | 0.564377i | ||||
\(567\) | −189.310 | − | 327.895i | −0.333881 | − | 0.578298i | ||||
\(568\) | −121.585 | + | 195.581i | −0.214059 | + | 0.344332i | ||||
\(569\) | 218.328 | 0.383705 | 0.191853 | − | 0.981424i | \(-0.438550\pi\) | ||||
0.191853 | + | 0.981424i | \(0.438550\pi\) | |||||||
\(570\) | 19.9881 | − | 189.584i | 0.0350669 | − | 0.332604i | ||||
\(571\) | 396.643i | 0.694646i | 0.937746 | + | 0.347323i | \(0.112909\pi\) | ||||
−0.937746 | + | 0.347323i | \(0.887091\pi\) | |||||||
\(572\) | 63.3657 | − | 318.702i | 0.110779 | − | 0.557172i | ||||
\(573\) | −19.6809 | + | 11.3628i | −0.0343471 | + | 0.0198303i | ||||
\(574\) | −47.7947 | − | 58.2330i | −0.0832661 | − | 0.101451i | ||||
\(575\) | 109.039 | + | 330.780i | 0.189633 | + | 0.575270i | ||||
\(576\) | −226.379 | − | 458.757i | −0.393019 | − | 0.796453i | ||||
\(577\) | − | 995.188i | − | 1.72476i | −0.506259 | − | 0.862382i | \(-0.668972\pi\) | ||
0.506259 | − | 0.862382i | \(-0.331028\pi\) | |||||||
\(578\) | 40.6160 | − | 107.928i | 0.0702698 | − | 0.186727i | ||||
\(579\) | −236.740 | − | 136.682i | −0.408877 | − | 0.236065i | ||||
\(580\) | 204.349 | − | 46.7160i | 0.352325 | − | 0.0805448i | ||||
\(581\) | −170.319 | −0.293149 | ||||||||
\(582\) | 35.3400 | + | 13.2993i | 0.0607217 | + | 0.0228511i | ||||
\(583\) | −150.531 | + | 260.727i | −0.258201 | + | 0.447216i | ||||
\(584\) | 517.641 | − | 832.670i | 0.886371 | − | 1.42581i | ||||
\(585\) | −438.328 | − | 317.038i | −0.749279 | − | 0.541945i | ||||
\(586\) | 148.187 | + | 897.316i | 0.252878 | + | 1.53126i | ||||
\(587\) | −297.885 | − | 515.952i | −0.507470 | − | 0.878964i | −0.999963 | − | 0.00864737i | \(-0.997247\pi\) |
0.492492 | − | 0.870317i | \(-0.336086\pi\) | |||||||
\(588\) | 3.98546 | + | 3.49456i | 0.00677800 | + | 0.00594313i | ||||
\(589\) | −141.277 | − | 378.229i | −0.239859 | − | 0.642154i | ||||
\(590\) | 261.641 | + | 130.452i | 0.443460 | + | 0.221104i | ||||
\(591\) | −42.1442 | + | 24.3319i | −0.0713099 | + | 0.0411708i | ||||
\(592\) | 8.57160 | + | 11.1668i | 0.0144791 | + | 0.0188628i | ||||
\(593\) | 535.581 | + | 309.218i | 0.903172 | + | 0.521447i | 0.878228 | − | 0.478242i | \(-0.158726\pi\) |
0.0249443 | + | 0.999689i | \(0.492059\pi\) | |||||||
\(594\) | −33.3463 | − | 201.922i | −0.0561386 | − | 0.339936i | ||||
\(595\) | 425.491 | + | 307.753i | 0.715111 | + | 0.517232i | ||||
\(596\) | 268.236 | + | 235.196i | 0.450060 | + | 0.394625i | ||||
\(597\) | 146.397i | 0.245220i | ||||||||
\(598\) | −291.524 | + | 239.268i | −0.487498 | + | 0.400114i | ||||
\(599\) | 100.872 | + | 58.2385i | 0.168401 | + | 0.0972263i | 0.581832 | − | 0.813309i | \(-0.302336\pi\) |
−0.413431 | + | 0.910536i | \(0.635670\pi\) | |||||||
\(600\) | −192.527 | + | 56.5786i | −0.320878 | + | 0.0942977i | ||||
\(601\) | −184.463 | −0.306926 | −0.153463 | − | 0.988154i | \(-0.549043\pi\) | ||||
−0.153463 | + | 0.988154i | \(0.549043\pi\) | |||||||
\(602\) | 301.489 | + | 367.334i | 0.500812 | + | 0.610189i | ||||
\(603\) | −317.162 | − | 549.341i | −0.525973 | − | 0.911013i | ||||
\(604\) | 359.874 | + | 1059.86i | 0.595818 | + | 1.75473i | ||||
\(605\) | −173.650 | − | 387.797i | −0.287025 | − | 0.640987i | ||||
\(606\) | −157.450 | + | 26.0020i | −0.259819 | + | 0.0429077i | ||||
\(607\) | −794.653 | −1.30915 | −0.654574 | − | 0.755998i | \(-0.727152\pi\) | ||||
−0.654574 | + | 0.755998i | \(0.727152\pi\) | |||||||
\(608\) | −233.955 | + | 561.185i | −0.384795 | + | 0.923002i | ||||
\(609\) | 72.6135 | 0.119234 | ||||||||
\(610\) | 1139.21 | − | 69.6693i | 1.86755 | − | 0.114212i | ||||
\(611\) | 739.447 | − | 426.920i | 1.21022 | − | 0.698723i | ||||
\(612\) | 156.358 | + | 460.488i | 0.255487 | + | 0.752432i | ||||
\(613\) | −551.091 | + | 318.172i | −0.899006 | + | 0.519041i | −0.876878 | − | 0.480714i | \(-0.840378\pi\) |
−0.0221284 | + | 0.999755i | \(0.507044\pi\) | |||||||
\(614\) | 302.964 | + | 369.131i | 0.493427 | + | 0.601190i | ||||
\(615\) | −27.2228 | − | 2.80255i | −0.0442648 | − | 0.00455699i | ||||
\(616\) | 156.320 | + | 292.365i | 0.253767 | + | 0.474619i | ||||
\(617\) | 862.396 | + | 497.904i | 1.39772 | + | 0.806976i | 0.994154 | − | 0.107972i | \(-0.0344358\pi\) |
0.403570 | + | 0.914949i | \(0.367769\pi\) | |||||||
\(618\) | −155.239 | − | 189.142i | −0.251195 | − | 0.306056i | ||||
\(619\) | 298.411i | 0.482086i | 0.970514 | + | 0.241043i | \(0.0774894\pi\) | ||||
−0.970514 | + | 0.241043i | \(0.922511\pi\) | |||||||
\(620\) | −311.448 | + | 289.183i | −0.502336 | + | 0.466425i | ||||
\(621\) | −118.767 | + | 205.711i | −0.191251 | + | 0.331257i | ||||
\(622\) | 128.236 | + | 776.509i | 0.206167 | + | 1.24841i | ||||
\(623\) | −148.606 | + | 257.394i | −0.238534 | + | 0.413152i | ||||
\(624\) | −132.308 | − | 172.366i | −0.212032 | − | 0.276228i | ||||
\(625\) | −70.6303 | − | 620.996i | −0.113009 | − | 0.993594i | ||||
\(626\) | −1072.76 | − | 403.707i | −1.71368 | − | 0.644899i | ||||
\(627\) | −72.8032 | + | 88.2603i | −0.116114 | + | 0.140766i | ||||
\(628\) | −242.930 | + | 277.056i | −0.386831 | + | 0.441172i | ||||
\(629\) | −6.69107 | − | 11.5893i | −0.0106376 | − | 0.0184249i | ||||
\(630\) | 550.910 | − | 33.6915i | 0.874460 | − | 0.0534785i | ||||
\(631\) | −500.025 | − | 288.689i | −0.792432 | − | 0.457511i | 0.0483859 | − | 0.998829i | \(-0.484592\pi\) |
−0.840818 | + | 0.541318i | \(0.817926\pi\) | |||||||
\(632\) | 526.838 | − | 847.465i | 0.833604 | − | 1.34093i | ||||
\(633\) | −188.232 | − | 108.676i | −0.297365 | − | 0.171684i | ||||
\(634\) | 388.890 | + | 146.349i | 0.613391 | + | 0.230834i | ||||
\(635\) | 92.3018 | + | 9.50233i | 0.145357 | + | 0.0149643i | ||||
\(636\) | 64.7295 | + | 190.634i | 0.101776 | + | 0.299738i | ||||
\(637\) | −15.4816 | − | 8.93832i | −0.0243040 | − | 0.0140319i | ||||
\(638\) | −117.745 | − | 44.3105i | −0.184554 | − | 0.0694521i | ||||
\(639\) | − | 230.100i | − | 0.360094i | ||||||
\(640\) | 639.995 | + | 2.63370i | 0.999992 | + | 0.00411516i | ||||
\(641\) | 382.072 | + | 661.768i | 0.596056 | + | 1.03240i | 0.993397 | + | 0.114728i | \(0.0365997\pi\) |
−0.397341 | + | 0.917671i | \(0.630067\pi\) | |||||||
\(642\) | 211.244 | + | 257.380i | 0.329041 | + | 0.400903i | ||||
\(643\) | −424.258 | − | 734.836i | −0.659810 | − | 1.14282i | −0.980665 | − | 0.195695i | \(-0.937304\pi\) |
0.320855 | − | 0.947128i | \(-0.396030\pi\) | |||||||
\(644\) | 75.0369 | − | 377.403i | 0.116517 | − | 0.586030i | ||||
\(645\) | 171.722 | + | 17.6785i | 0.266235 | + | 0.0274085i | ||||
\(646\) | 290.217 | − | 499.831i | 0.449252 | − | 0.773732i | ||||
\(647\) | 642.910 | 0.993678 | 0.496839 | − | 0.867843i | \(-0.334494\pi\) | ||||
0.496839 | + | 0.867843i | \(0.334494\pi\) | |||||||
\(648\) | 372.542 | + | 231.596i | 0.574910 | + | 0.357401i | ||||
\(649\) | −87.7317 | − | 151.956i | −0.135180 | − | 0.234138i | ||||
\(650\) | 599.640 | − | 313.775i | 0.922523 | − | 0.482731i | ||||
\(651\) | −127.499 | + | 73.6114i | −0.195851 | + | 0.113074i | ||||
\(652\) | −413.394 | + | 140.367i | −0.634039 | + | 0.215287i | ||||
\(653\) | − | 323.652i | − | 0.495639i | −0.968806 | − | 0.247819i | \(-0.920286\pi\) | ||
0.968806 | − | 0.247819i | \(-0.0797140\pi\) | |||||||
\(654\) | −90.8215 | + | 241.338i | −0.138871 | + | 0.369018i | ||||
\(655\) | −59.8524 | − | 43.2906i | −0.0913777 | − | 0.0660925i | ||||
\(656\) | 80.6436 | + | 33.3876i | 0.122932 | + | 0.0508958i | ||||
\(657\) | 979.634i | 1.49107i | ||||||||
\(658\) | −306.831 | + | 815.336i | −0.466309 | + | 1.23911i | ||||
\(659\) | 664.095 | + | 383.416i | 1.00773 | + | 0.581814i | 0.910527 | − | 0.413450i | \(-0.135676\pi\) |
0.0972052 | + | 0.995264i | \(0.469010\pi\) | |||||||
\(660\) | 115.096 | + | 35.4585i | 0.174388 | + | 0.0537251i | ||||
\(661\) | −310.197 | + | 537.276i | −0.469284 | + | 0.812823i | −0.999383 | − | 0.0351119i | \(-0.988821\pi\) |
0.530100 | + | 0.847935i | \(0.322155\pi\) | |||||||
\(662\) | −132.504 | − | 802.351i | −0.200157 | − | 1.21201i | ||||
\(663\) | 103.281 | + | 178.887i | 0.155778 | + | 0.269815i | ||||
\(664\) | 174.016 | − | 93.0420i | 0.262072 | − | 0.140124i | ||||
\(665\) | −460.629 | − | 467.040i | −0.692675 | − | 0.702316i | ||||
\(666\) | −13.1642 | − | 4.95401i | −0.0197661 | − | 0.00743846i | ||||
\(667\) | 73.0086 | + | 126.455i | 0.109458 | + | 0.189587i | ||||
\(668\) | −2.44435 | + | 12.2940i | −0.00365921 | + | 0.0184043i | ||||
\(669\) | 83.6060 | − | 144.810i | 0.124972 | − | 0.216457i | ||||
\(670\) | 792.089 | − | 48.4410i | 1.18222 | − | 0.0723001i | ||||
\(671\) | −593.217 | − | 342.494i | −0.884079 | − | 0.510423i | ||||
\(672\) | 215.918 | + | 50.2967i | 0.321307 | + | 0.0748463i | ||||
\(673\) | 638.293i | 0.948429i | 0.880409 | + | 0.474214i | \(0.157268\pi\) | ||||
−0.880409 | + | 0.474214i | \(0.842732\pi\) | |||||||
\(674\) | 64.7785 | − | 53.1669i | 0.0961105 | − | 0.0788827i | ||||
\(675\) | 283.865 | − | 317.981i | 0.420540 | − | 0.471083i | ||||
\(676\) | 42.7354 | + | 37.4716i | 0.0632181 | + | 0.0554313i | ||||
\(677\) | 357.675i | 0.528323i | 0.964478 | + | 0.264162i | \(0.0850952\pi\) | ||||
−0.964478 | + | 0.264162i | \(0.914905\pi\) | |||||||
\(678\) | −157.823 | + | 129.533i | −0.232777 | + | 0.191052i | ||||
\(679\) | 112.524 | − | 64.9656i | 0.165720 | − | 0.0956784i | ||||
\(680\) | −602.846 | − | 81.9956i | −0.886538 | − | 0.120582i | ||||
\(681\) | −182.721 | − | 316.482i | −0.268313 | − | 0.464732i | ||||
\(682\) | 251.663 | − | 41.5607i | 0.369007 | − | 0.0609394i | ||||
\(683\) | 211.818 | 0.310129 | 0.155065 | − | 0.987904i | \(-0.450441\pi\) | ||||
0.155065 | + | 0.987904i | \(0.450441\pi\) | |||||||
\(684\) | −97.5104 | − | 599.614i | −0.142559 | − | 0.876629i | ||||
\(685\) | −66.2023 | + | 643.062i | −0.0966457 | + | 0.938777i | ||||
\(686\) | 685.644 | − | 113.230i | 0.999481 | − | 0.165059i | ||||
\(687\) | 57.1191 | + | 98.9331i | 0.0831427 | + | 0.144007i | ||||
\(688\) | −508.700 | − | 210.609i | −0.739389 | − | 0.306118i | ||||
\(689\) | −339.492 | − | 588.017i | −0.492731 | − | 0.853435i | ||||
\(690\) | −77.1496 | − | 116.562i | −0.111811 | − | 0.168930i | ||||
\(691\) | − | 1241.46i | − | 1.79662i | −0.439365 | − | 0.898309i | \(-0.644797\pi\) | ||
0.439365 | − | 0.898309i | \(-0.355203\pi\) | |||||||
\(692\) | −225.507 | + | 257.185i | −0.325877 | + | 0.371655i | ||||
\(693\) | −286.875 | − | 165.627i | −0.413961 | − | 0.239000i | ||||
\(694\) | −622.715 | − | 758.714i | −0.897283 | − | 1.09325i | ||||
\(695\) | 96.0432 | − | 932.925i | 0.138192 | − | 1.34234i | ||||
\(696\) | −74.1896 | + | 39.6673i | −0.106594 | + | 0.0569933i | ||||
\(697\) | −71.8557 | − | 41.4859i | −0.103093 | − | 0.0595207i | ||||
\(698\) | −643.476 | + | 106.266i | −0.921886 | + | 0.152244i | ||||
\(699\) | 1.03854 | + | 0.599603i | 0.00148576 | + | 0.000857802i | ||||
\(700\) | −269.809 | + | 635.607i | −0.385441 | + | 0.908010i | ||||
\(701\) | 71.1161 | + | 123.177i | 0.101450 | + | 0.175716i | 0.912282 | − | 0.409562i | \(-0.134319\pi\) |
−0.810833 | + | 0.585278i | \(0.800985\pi\) | |||||||
\(702\) | 431.986 | + | 162.567i | 0.615364 | + | 0.231577i | ||||
\(703\) | 5.84937 | + | 15.6600i | 0.00832058 | + | 0.0222759i | ||||
\(704\) | −319.426 | − | 213.316i | −0.453730 | − | 0.303006i | ||||
\(705\) | 129.333 | + | 288.827i | 0.183451 | + | 0.409684i | ||||
\(706\) | −32.7922 | − | 198.567i | −0.0464479 | − | 0.281257i | ||||
\(707\) | −274.563 | + | 475.558i | −0.388350 | + | 0.672642i | ||||
\(708\) | −115.082 | − | 22.8810i | −0.162545 | − | 0.0323178i | ||||
\(709\) | −587.975 | + | 1018.40i | −0.829302 | + | 1.43639i | 0.0692849 | + | 0.997597i | \(0.477928\pi\) |
−0.898587 | + | 0.438796i | \(0.855405\pi\) | |||||||
\(710\) | 257.621 | + | 128.447i | 0.362846 | + | 0.180911i | ||||
\(711\) | 997.040i | 1.40231i | ||||||||
\(712\) | 11.2228 | − | 344.161i | 0.0157624 | − | 0.483373i | ||||
\(713\) | −256.385 | − | 148.024i | −0.359586 | − | 0.207607i | ||||
\(714\) | −197.247 | − | 74.2288i | −0.276256 | − | 0.103962i | ||||
\(715\) | −404.040 | − | 41.5953i | −0.565091 | − | 0.0581753i | ||||
\(716\) | −416.439 | − | 1226.45i | −0.581618 | − | 1.71291i | ||||
\(717\) | 30.8402 | − | 17.8056i | 0.0430128 | − | 0.0248335i | ||||
\(718\) | 558.674 | − | 458.532i | 0.778098 | − | 0.638624i | ||||
\(719\) | −628.616 | + | 362.932i | −0.874293 | + | 0.504773i | −0.868772 | − | 0.495212i | \(-0.835091\pi\) |
−0.00552034 | + | 0.999985i | \(0.501757\pi\) | |||||||
\(720\) | −544.462 | + | 335.374i | −0.756198 | + | 0.465797i | ||||
\(721\) | −841.986 | −1.16780 | ||||||||
\(722\) | −460.792 | + | 555.837i | −0.638216 | + | 0.769857i | ||||
\(723\) | −151.347 | −0.209332 | ||||||||
\(724\) | 147.678 | − | 742.758i | 0.203975 | − | 1.02591i | ||||
\(725\) | −82.0326 | − | 248.854i | −0.113148 | − | 0.343246i | ||||
\(726\) | 108.188 | + | 131.816i | 0.149019 | + | 0.181564i | ||||
\(727\) | −223.192 | − | 386.581i | −0.307005 | − | 0.531748i | 0.670701 | − | 0.741728i | \(-0.265993\pi\) |
−0.977706 | + | 0.209980i | \(0.932660\pi\) | |||||||
\(728\) | −747.305 | − | 24.3690i | −1.02652 | − | 0.0334738i | ||||
\(729\) | −284.331 | −0.390029 | ||||||||
\(730\) | −1096.80 | − | 546.853i | −1.50247 | − | 0.749114i | ||||
\(731\) | 453.266 | + | 261.693i | 0.620063 | + | 0.357993i | ||||
\(732\) | −433.737 | + | 147.275i | −0.592537 | + | 0.201195i | ||||
\(733\) | 934.732i | 1.27521i | 0.770362 | + | 0.637607i | \(0.220076\pi\) | ||||
−0.770362 | + | 0.637607i | \(0.779924\pi\) | |||||||
\(734\) | −236.404 | + | 628.192i | −0.322077 | + | 0.855848i | ||||
\(735\) | 3.88304 | − | 5.36859i | 0.00528305 | − | 0.00730420i | ||||
\(736\) | 129.502 | + | 426.586i | 0.175954 | + | 0.579601i | ||||
\(737\) | −412.464 | − | 238.136i | −0.559652 | − | 0.323115i | ||||
\(738\) | −86.0434 | + | 14.2096i | −0.116590 | + | 0.0192542i | ||||
\(739\) | 445.787 | − | 257.375i | 0.603229 | − | 0.348275i | −0.167082 | − | 0.985943i | \(-0.553434\pi\) |
0.770311 | + | 0.637668i | \(0.220101\pi\) | |||||||
\(740\) | 12.8951 | − | 11.9732i | 0.0174258 | − | 0.0161800i | ||||
\(741\) | −90.2886 | − | 241.721i | −0.121847 | − | 0.326210i | ||||
\(742\) | 648.365 | + | 243.996i | 0.873807 | + | 0.328835i | ||||
\(743\) | 246.158 | + | 426.359i | 0.331303 | + | 0.573834i | 0.982768 | − | 0.184845i | \(-0.0591783\pi\) |
−0.651464 | + | 0.758679i | \(0.725845\pi\) | |||||||
\(744\) | 90.0536 | − | 144.859i | 0.121040 | − | 0.194703i | ||||
\(745\) | 261.343 | − | 361.325i | 0.350796 | − | 0.485000i | ||||
\(746\) | −65.3137 | − | 395.495i | −0.0875519 | − | 0.530154i | ||||
\(747\) | −98.5815 | + | 170.748i | −0.131970 | + | 0.228579i | ||||
\(748\) | 274.546 | + | 240.729i | 0.367040 | + | 0.321830i | ||||
\(749\) | 1145.75 | 1.52971 | ||||||||
\(750\) | 92.9246 | + | 232.988i | 0.123899 | + | 0.310651i | ||||
\(751\) | −243.067 | − | 140.335i | −0.323657 | − | 0.186864i | 0.329364 | − | 0.944203i | \(-0.393166\pi\) |
−0.653022 | + | 0.757339i | \(0.726499\pi\) | |||||||
\(752\) | −131.911 | − | 1000.65i | −0.175413 | − | 1.33065i | ||||
\(753\) | − | 360.048i | − | 0.478151i | ||||||
\(754\) | 219.320 | − | 180.007i | 0.290875 | − | 0.238736i | ||||
\(755\) | 1276.94 | − | 571.795i | 1.69131 | − | 0.757345i | ||||
\(756\) | −445.920 | + | 151.412i | −0.589841 | + | 0.200280i | ||||
\(757\) | 676.690 | − | 390.687i | 0.893910 | − | 0.516099i | 0.0186905 | − | 0.999825i | \(-0.494050\pi\) |
0.875219 | + | 0.483726i | \(0.160717\pi\) | |||||||
\(758\) | −105.503 | − | 638.855i | −0.139186 | − | 0.842817i | ||||
\(759\) | 83.8917i | 0.110529i | ||||||||
\(760\) | 725.761 | + | 225.545i | 0.954949 | + | 0.296770i | ||||
\(761\) | −784.728 | −1.03118 | −0.515590 | − | 0.856835i | \(-0.672427\pi\) | ||||
−0.515590 | + | 0.856835i | \(0.672427\pi\) | |||||||
\(762\) | −36.7422 | + | 6.06777i | −0.0482182 | + | 0.00796295i | ||||
\(763\) | 443.652 | + | 768.428i | 0.581458 | + | 1.00711i | ||||
\(764\) | −29.1295 | − | 85.7888i | −0.0381276 | − | 0.112289i | ||||
\(765\) | 554.804 | − | 248.434i | 0.725234 | − | 0.324750i | ||||
\(766\) | −117.089 | − | 142.661i | −0.152858 | − | 0.186242i | ||||
\(767\) | 395.722 | 0.515935 | ||||||||
\(768\) | −248.081 | + | 66.5633i | −0.323022 | + | 0.0866710i | ||||
\(769\) | 218.395 | − | 378.271i | 0.283999 | − | 0.491900i | −0.688367 | − | 0.725362i | \(-0.741672\pi\) |
0.972366 | + | 0.233462i | \(0.0750055\pi\) | |||||||
\(770\) | 345.576 | − | 228.729i | 0.448800 | − | 0.297050i | ||||
\(771\) | − | 272.657i | − | 0.353641i | ||||||
\(772\) | 718.493 | − | 819.425i | 0.930691 | − | 1.06143i | ||||
\(773\) | 389.109 | + | 224.652i | 0.503375 | + | 0.290623i | 0.730106 | − | 0.683334i | \(-0.239471\pi\) |
−0.226731 | + | 0.973957i | \(0.572804\pi\) | |||||||
\(774\) | 542.762 | − | 89.6340i | 0.701243 | − | 0.115806i | ||||
\(775\) | 396.311 | + | 353.791i | 0.511369 | + | 0.456504i | ||||
\(776\) | −79.4767 | + | 127.845i | −0.102418 | + | 0.164749i | ||||
\(777\) | 5.27889 | − | 3.04777i | 0.00679394 | − | 0.00392248i | ||||
\(778\) | −323.496 | + | 859.618i | −0.415804 | + | 1.10491i | ||||
\(779\) | 79.9558 | + | 65.9531i | 0.102639 | + | 0.0846638i | ||||
\(780\) | −199.043 | + | 184.814i | −0.255183 | + | 0.236941i | ||||
\(781\) | −86.3836 | − | 149.621i | −0.110606 | − | 0.191576i | ||||
\(782\) | −69.0521 | − | 418.132i | −0.0883020 | − | 0.534696i | ||||
\(783\) | 89.3512 | − | 154.761i | 0.114114 | − | 0.197651i | ||||
\(784\) | −16.7626 | + | 12.8669i | −0.0213809 | + | 0.0164119i | ||||
\(785\) | 373.206 | + | 269.936i | 0.475422 | + | 0.343867i | ||||
\(786\) | 27.7460 | + | 10.4415i | 0.0353003 | + | 0.0132844i | ||||
\(787\) | −1107.21 | −1.40688 | −0.703439 | − | 0.710756i | \(-0.748353\pi\) | ||||
−0.703439 | + | 0.710756i | \(0.748353\pi\) | |||||||
\(788\) | −62.3772 | − | 183.706i | −0.0791589 | − | 0.233129i | ||||
\(789\) | 249.827 | − | 432.713i | 0.316637 | − | 0.548432i | ||||
\(790\) | −1116.29 | − | 556.569i | −1.41302 | − | 0.704518i | ||||
\(791\) | 702.564i | 0.888197i | ||||||||
\(792\) | 383.580 | + | 12.5082i | 0.484318 | + | 0.0157932i | ||||
\(793\) | 1337.88 | − | 772.425i | 1.68711 | − | 0.974054i | ||||
\(794\) | 979.135 | − | 803.625i | 1.23317 | − | 1.01212i | ||||
\(795\) | 229.679 | − | 102.847i | 0.288904 | − | 0.129367i | ||||
\(796\) | −572.431 | − | 113.813i | −0.719135 | − | 0.142981i | ||||
\(797\) | − | 1570.86i | − | 1.97096i | −0.169791 | − | 0.985480i | \(-0.554309\pi\) | ||
0.169791 | − | 0.985480i | \(-0.445691\pi\) | |||||||
\(798\) | 227.672 | + | 132.193i | 0.285304 | + | 0.165656i | ||||
\(799\) | 959.466i | 1.20083i | ||||||||
\(800\) | −71.5542 | − | 796.794i | −0.0894427 | − | 0.995992i | ||||
\(801\) | 172.028 | + | 297.961i | 0.214767 | + | 0.371987i | ||||
\(802\) | −892.766 | − | 1087.74i | −1.11317 | − | 1.35629i | ||||
\(803\) | 367.771 | + | 636.999i | 0.457997 | + | 0.793274i | ||||
\(804\) | −301.577 | + | 102.400i | −0.375096 | + | 0.127364i | ||||
\(805\) | −478.460 | − | 49.2567i | −0.594360 | − | 0.0611884i | ||||
\(806\) | −202.613 | + | 538.399i | −0.251381 | + | 0.667989i | ||||
\(807\) | −38.0651 | + | 65.9307i | −0.0471687 | + | 0.0816986i | ||||
\(808\) | 20.7351 | − | 635.868i | 0.0256623 | − | 0.786966i | ||||
\(809\) | 630.497 | 0.779353 | 0.389676 | − | 0.920952i | \(-0.372587\pi\) | ||||
0.389676 | + | 0.920952i | \(0.372587\pi\) | |||||||
\(810\) | 244.665 | − | 490.715i | 0.302056 | − | 0.605821i | ||||
\(811\) | −1074.29 | − | 620.239i | −1.32464 | − | 0.764783i | −0.340178 | − | 0.940361i | \(-0.610487\pi\) |
−0.984466 | + | 0.175578i | \(0.943821\pi\) | |||||||
\(812\) | −56.4520 | + | 283.929i | −0.0695221 | + | 0.349666i | ||||
\(813\) | −223.941 | − | 129.292i | −0.275450 | − | 0.159031i | ||||
\(814\) | −10.4197 | + | 1.72076i | −0.0128006 | + | 0.00211395i | ||||
\(815\) | 223.026 | + | 498.064i | 0.273652 | + | 0.611121i | ||||
\(816\) | 242.077 | − | 31.9119i | 0.296663 | − | 0.0391077i | ||||
\(817\) | −504.361 | − | 416.032i | −0.617333 | − | 0.509219i | ||||
\(818\) | 393.992 | − | 1046.95i | 0.481653 | − | 1.27989i | ||||
\(819\) | 646.987 | − | 373.538i | 0.789972 | − | 0.456090i | ||||
\(820\) | 32.1222 | − | 104.266i | 0.0391735 | − | 0.127154i | ||||
\(821\) | 280.583 | − | 485.984i | 0.341758 | − | 0.591942i | −0.643001 | − | 0.765865i | \(-0.722311\pi\) |
0.984759 | + | 0.173923i | \(0.0556444\pi\) | |||||||
\(822\) | −42.2739 | − | 255.981i | −0.0514281 | − | 0.311413i | ||||
\(823\) | −143.013 | + | 247.705i | −0.173770 | + | 0.300978i | −0.939735 | − | 0.341904i | \(-0.888928\pi\) |
0.765965 | + | 0.642882i | \(0.222262\pi\) | |||||||
\(824\) | 860.261 | − | 459.960i | 1.04401 | − | 0.558204i | ||||
\(825\) | 30.6712 | − | 147.385i | 0.0371772 | − | 0.178648i | ||||
\(826\) | −312.091 | + | 256.149i | −0.377834 | + | 0.310107i | ||||
\(827\) | −429.453 | + | 743.834i | −0.519290 | + | 0.899437i | 0.480458 | + | 0.877018i | \(0.340470\pi\) |
−0.999749 | + | 0.0224196i | \(0.992863\pi\) | |||||||
\(828\) | −334.922 | − | 293.669i | −0.404495 | − | 0.354672i | ||||
\(829\) | 134.106 | 0.161769 | 0.0808845 | − | 0.996723i | \(-0.474226\pi\) | ||||
0.0808845 | + | 0.996723i | \(0.474226\pi\) | |||||||
\(830\) | −136.140 | − | 205.687i | −0.164024 | − | 0.247816i | ||||
\(831\) | −173.562 | + | 100.206i | −0.208859 | + | 0.120585i | ||||
\(832\) | 776.837 | − | 383.340i | 0.933698 | − | 0.460745i | ||||
\(833\) | 17.3968 | − | 10.0441i | 0.0208845 | − | 0.0120577i | ||||
\(834\) | 61.3289 | + | 371.366i | 0.0735359 | + | 0.445283i | ||||
\(835\) | 15.5860 | + | 1.60455i | 0.0186659 | + | 0.00192162i | ||||
\(836\) | −288.511 | − | 353.287i | −0.345109 | − | 0.422592i | ||||
\(837\) | 362.317i | 0.432875i | ||||||||
\(838\) | −225.699 | − | 1366.68i | −0.269331 | − | 1.63088i | ||||
\(839\) | 272.400 | − | 157.270i | 0.324672 | − | 0.187450i | −0.328801 | − | 0.944399i | \(-0.606645\pi\) |
0.653473 | + | 0.756950i | \(0.273311\pi\) | |||||||
\(840\) | 37.3489 | − | 274.595i | 0.0444629 | − | 0.326899i | ||||
\(841\) | 365.574 | + | 633.193i | 0.434690 | + | 0.752905i | ||||
\(842\) | −774.362 | − | 943.481i | −0.919669 | − | 1.12052i | ||||
\(843\) | 73.7602 | 0.0874973 | ||||||||
\(844\) | 571.275 | − | 651.526i | 0.676866 | − | 0.771950i | ||||
\(845\) | 41.6372 | − | 57.5665i | 0.0492748 | − | 0.0681260i | ||||
\(846\) | 639.794 | + | 779.524i | 0.756258 | + | 0.921423i | ||||
\(847\) | 586.790 | 0.692787 | ||||||||
\(848\) | −795.727 | + | 104.897i | −0.938358 | + | 0.123699i | ||||
\(849\) | 103.658 | − | 179.541i | 0.122095 | − | 0.211474i | ||||
\(850\) | −31.5569 | + | 759.840i | −0.0371258 | + | 0.893930i | ||||
\(851\) | 10.6152 | + | 6.12870i | 0.0124738 | + | 0.00720176i | ||||
\(852\) | −113.313 | − | 22.5294i | −0.132997 | − | 0.0264430i | ||||
\(853\) | −798.091 | + | 460.778i | −0.935628 | + | 0.540185i | −0.888587 | − | 0.458708i | \(-0.848312\pi\) |
−0.0470410 | + | 0.998893i | \(0.514979\pi\) | |||||||
\(854\) | −555.149 | + | 1475.19i | −0.650057 | + | 1.72738i | ||||
\(855\) | −734.830 | + | 191.464i | −0.859450 | + | 0.223934i | ||||
\(856\) | −1170.62 | + | 625.900i | −1.36754 | + | 0.731192i | ||||
\(857\) | −25.8824 | + | 14.9432i | −0.0302011 | + | 0.0174366i | −0.515025 | − | 0.857175i | \(-0.672217\pi\) |
0.484823 | + | 0.874612i | \(0.338884\pi\) | |||||||
\(858\) | 160.835 | − | 26.5609i | 0.187453 | − | 0.0309568i | ||||
\(859\) | −355.712 | − | 205.370i | −0.414100 | − | 0.239081i | 0.278450 | − | 0.960451i | \(-0.410179\pi\) |
−0.692550 | + | 0.721370i | \(0.743513\pi\) | |||||||
\(860\) | −202.627 | + | 657.712i | −0.235613 | + | 0.764782i | ||||
\(861\) | 18.8968 | − | 32.7302i | 0.0219475 | − | 0.0380141i | ||||
\(862\) | 1052.24 | + | 395.985i | 1.22070 | + | 0.459379i | ||||
\(863\) | 1059.52 | 1.22772 | 0.613858 | − | 0.789417i | \(-0.289617\pi\) | ||||
0.613858 | + | 0.789417i | \(0.289617\pi\) | |||||||
\(864\) | 372.885 | − | 398.295i | 0.431580 | − | 0.460990i | ||||
\(865\) | 346.440 | + | 250.576i | 0.400509 | + | 0.289683i | ||||
\(866\) | 488.190 | + | 183.718i | 0.563729 | + | 0.212145i | ||||
\(867\) | 57.8513 | 0.0667259 | ||||||||
\(868\) | −188.710 | − | 555.766i | −0.217407 | − | 0.640283i | ||||
\(869\) | 374.306 | + | 648.317i | 0.430732 | + | 0.746049i | ||||
\(870\) | 58.0414 | + | 87.6922i | 0.0667143 | + | 0.100796i | ||||
\(871\) | 930.227 | − | 537.067i | 1.06800 | − | 0.616610i | ||||
\(872\) | −873.059 | − | 542.749i | −1.00121 | − | 0.622418i | ||||
\(873\) | − | 150.410i | − | 0.172290i | ||||||
\(874\) | −1.30040 | + | 529.398i | −0.00148787 | + | 0.605718i | ||||
\(875\) | 822.572 | + | 261.464i | 0.940083 | + | 0.298815i | ||||
\(876\) | 482.423 | + | 95.9173i | 0.550711 | + | 0.109495i | ||||
\(877\) | −725.880 | + | 419.087i | −0.827685 | + | 0.477864i | −0.853060 | − | 0.521814i | \(-0.825256\pi\) |
0.0253741 | + | 0.999678i | \(0.491922\pi\) | |||||||
\(878\) | 74.9930 | − | 61.5505i | 0.0854134 | − | 0.0701030i | ||||
\(879\) | −395.128 | + | 228.127i | −0.449520 | + | 0.259530i | ||||
\(880\) | −228.127 | + | 422.474i | −0.259235 | + | 0.480084i | ||||
\(881\) | 342.169 | 0.388387 | 0.194193 | − | 0.980963i | \(-0.437791\pi\) | ||||
0.194193 | + | 0.980963i | \(0.437791\pi\) | |||||||
\(882\) | 7.43654 | − | 19.7610i | 0.00843145 | − | 0.0224047i | ||||
\(883\) | −693.963 | + | 1201.98i | −0.785915 | + | 1.36124i | 0.142536 | + | 0.989790i | \(0.454474\pi\) |
−0.928451 | + | 0.371455i | \(0.878859\pi\) | |||||||
\(884\) | −779.769 | + | 264.770i | −0.882091 | + | 0.299513i | ||||
\(885\) | −15.0199 | + | 145.897i | −0.0169716 | + | 0.164855i | ||||
\(886\) | −274.014 | + | 728.131i | −0.309271 | + | 0.821819i | ||||
\(887\) | −796.267 | + | 1379.17i | −0.897708 | + | 1.55488i | −0.0672906 | + | 0.997733i | \(0.521435\pi\) |
−0.830417 | + | 0.557142i | \(0.811898\pi\) | |||||||
\(888\) | −3.72853 | + | 5.99767i | −0.00419880 | + | 0.00675414i | ||||
\(889\) | −64.0714 | + | 110.975i | −0.0720714 | + | 0.124831i | ||||
\(890\) | −429.628 | + | 26.2743i | −0.482728 | + | 0.0295217i | ||||
\(891\) | −284.997 | + | 164.543i | −0.319862 | + | 0.184672i | ||||
\(892\) | 501.229 | + | 439.491i | 0.561916 | + | 0.492703i | ||||
\(893\) | 198.193 | − | 1182.05i | 0.221940 | − | 1.32368i | ||||
\(894\) | −63.0348 | + | 167.501i | −0.0705087 | + | 0.187361i | ||||
\(895\) | −1477.64 | + | 661.669i | −1.65100 | + | 0.739295i | ||||
\(896\) | −364.529 | + | 805.168i | −0.406840 | + | 0.898625i | ||||
\(897\) | −163.852 | − | 94.6002i | −0.182667 | − | 0.105463i | ||||
\(898\) | 463.763 | − | 76.5877i | 0.516439 | − | 0.0852870i | ||||
\(899\) | 192.884 | + | 111.362i | 0.214554 | + | 0.123873i | ||||
\(900\) | 481.041 | + | 638.380i | 0.534490 | + | 0.709311i | ||||
\(901\) | 762.978 | 0.846812 | ||||||||
\(902\) | −50.6145 | + | 41.5418i | −0.0561136 | + | 0.0460552i | ||||
\(903\) | −119.201 | + | 206.462i | −0.132005 | + | 0.228640i | ||||
\(904\) | −383.797 | − | 717.813i | −0.424554 | − | 0.794041i | ||||
\(905\) | −941.644 | − | 96.9408i | −1.04049 | − | 0.107117i | ||||
\(906\) | −434.042 | + | 356.240i | −0.479075 | + | 0.393201i | ||||
\(907\) | 91.0015 | + | 157.619i | 0.100332 | + | 0.173781i | 0.911822 | − | 0.410587i | \(-0.134676\pi\) |
−0.811489 | + | 0.584367i | \(0.801343\pi\) | |||||||
\(908\) | 1379.54 | − | 468.422i | 1.51932 | − | 0.515884i | ||||
\(909\) | 317.837 | + | 550.510i | 0.349656 | + | 0.605621i | ||||
\(910\) | 57.0515 | + | 932.884i | 0.0626940 | + | 1.02515i | ||||
\(911\) | 1163.17i | 1.27681i | 0.769703 | + | 0.638403i | \(0.220404\pi\) | ||||
−0.769703 | + | 0.638403i | \(0.779596\pi\) | |||||||
\(912\) | −304.828 | − | 10.6898i | −0.334242 | − | 0.0117213i | ||||
\(913\) | 148.037i | 0.162143i | ||||||||
\(914\) | 268.555 | + | 1626.18i | 0.293824 | + | 1.77919i | ||||
\(915\) | 234.002 | + | 522.574i | 0.255740 | + | 0.571119i | ||||
\(916\) | −431.249 | + | 146.430i | −0.470795 | + | 0.159858i | ||||
\(917\) | 88.3442 | − | 51.0056i | 0.0963405 | − | 0.0556222i | ||||
\(918\) | −400.916 | + | 329.052i | −0.436728 | + | 0.358444i | ||||
\(919\) | − | 697.737i | − | 0.759235i | −0.925143 | − | 0.379618i | \(-0.876056\pi\) | ||
0.925143 | − | 0.379618i | \(-0.123944\pi\) | |||||||
\(920\) | 515.752 | − | 211.047i | 0.560600 | − | 0.229399i | ||||
\(921\) | −119.784 | + | 207.472i | −0.130059 | + | 0.225268i | ||||
\(922\) | −355.613 | − | 433.279i | −0.385698 | − | 0.469933i | ||||
\(923\) | 389.641 | 0.422146 | ||||||||
\(924\) | −109.652 | + | 125.055i | −0.118671 | + | 0.135341i | ||||
\(925\) | −16.4087 | − | 14.6482i | −0.0177391 | − | 0.0158359i | ||||
\(926\) | 677.493 | − | 111.884i | 0.731634 | − | 0.120825i | ||||
\(927\) | −487.345 | + | 844.106i | −0.525723 | + | 0.910578i | ||||
\(928\) | −97.4276 | − | 320.930i | −0.104987 | − | 0.345830i | ||||
\(929\) | 301.732 | + | 522.615i | 0.324792 | + | 0.562556i | 0.981470 | − | 0.191615i | \(-0.0613724\pi\) |
−0.656678 | + | 0.754171i | \(0.728039\pi\) | |||||||
\(930\) | −190.810 | − | 95.1357i | −0.205172 | − | 0.102296i | ||||
\(931\) | −23.5074 | + | 8.78057i | −0.0252496 | + | 0.00943133i | ||||
\(932\) | −3.15193 | + | 3.59470i | −0.00338190 | + | 0.00385698i | ||||
\(933\) | −341.931 | + | 197.414i | −0.366486 | + | 0.211591i | ||||
\(934\) | −1168.65 | + | 192.996i | −1.25123 | + | 0.206633i | ||||
\(935\) | 267.490 | − | 369.825i | 0.286086 | − | 0.395535i | ||||
\(936\) | −456.973 | + | 735.082i | −0.488219 | + | 0.785344i | ||||
\(937\) | 1506.76 | + | 869.928i | 1.60807 | + | 0.928419i | 0.989802 | + | 0.142450i | \(0.0454980\pi\) |
0.618266 | + | 0.785969i | \(0.287835\pi\) | |||||||
\(938\) | −385.995 | + | 1025.70i | −0.411508 | + | 1.09349i | ||||
\(939\) | − | 575.020i | − | 0.612374i | ||||||
\(940\) | −1229.90 | + | 281.167i | −1.30841 | + | 0.299114i | ||||
\(941\) | 251.821 | − | 436.166i | 0.267610 | − | 0.463513i | −0.700634 | − | 0.713520i | \(-0.747100\pi\) |
0.968244 | + | 0.250007i | \(0.0804329\pi\) | |||||||
\(942\) | −173.009 | − | 65.1074i | −0.183661 | − | 0.0691162i | ||||
\(943\) | 75.9983 | 0.0805920 | ||||||||
\(944\) | 178.936 | − | 432.197i | 0.189551 | − | 0.457836i | ||||
\(945\) | 240.574 | + | 537.252i | 0.254576 | + | 0.568521i | ||||
\(946\) | 319.276 | − | 262.046i | 0.337501 | − | 0.277004i | ||||
\(947\) | −160.752 | − | 278.431i | −0.169749 | − | 0.294014i | 0.768582 | − | 0.639751i | \(-0.220962\pi\) |
−0.938332 | + | 0.345737i | \(0.887629\pi\) | |||||||
\(948\) | 490.994 | + | 97.6215i | 0.517926 | + | 0.102976i | ||||
\(949\) | −1658.87 | −1.74801 | ||||||||
\(950\) | 195.835 | − | 929.596i | 0.206142 | − | 0.978522i | ||||
\(951\) | 208.452i | 0.219192i | ||||||||
\(952\) | 443.590 | − | 713.554i | 0.465956 | − | 0.749532i | ||||
\(953\) | 142.155 | − | 82.0733i | 0.149166 | − | 0.0861210i | −0.423559 | − | 0.905868i | \(-0.639219\pi\) |
0.572725 | + | 0.819747i | \(0.305886\pi\) | |||||||
\(954\) | 619.886 | − | 508.772i | 0.649776 | − | 0.533304i | ||||
\(955\) | −103.360 | + | 46.2832i | −0.108230 | + | 0.0484640i | ||||
\(956\) | 45.6463 | + | 134.432i | 0.0477472 | + | 0.140619i | ||||
\(957\) | − | 63.1136i | − | 0.0659494i | ||||||
\(958\) | 1377.72 | + | 518.471i | 1.43812 | + | 0.541201i | ||||
\(959\) | −773.157 | − | 446.383i | −0.806212 | − | 0.465467i | ||||
\(960\) | 111.846 | + | 300.958i | 0.116507 | + | 0.313498i | ||||
\(961\) | 509.432 | 0.530106 | ||||||||
\(962\) | 8.38889 | − | 22.2916i | 0.00872026 | − | 0.0231722i | ||||
\(963\) | 663.165 | − | 1148.64i | 0.688645 | − | 1.19277i | ||||
\(964\) | 117.662 | − | 591.788i | 0.122056 | − | 0.613888i | ||||
\(965\) | −1103.80 | − | 798.367i | −1.14383 | − | 0.827323i | ||||
\(966\) | 190.459 | − | 31.4531i | 0.197162 | − | 0.0325602i | ||||
\(967\) | 504.433 | + | 873.703i | 0.521647 | + | 0.903519i | 0.999683 | + | 0.0251790i | \(0.00801557\pi\) |
−0.478036 | + | 0.878340i | \(0.658651\pi\) | |||||||
\(968\) | −599.526 | + | 320.552i | −0.619345 | + | 0.331148i | ||||
\(969\) | 285.962 | + | 47.9469i | 0.295111 | + | 0.0494808i | ||||
\(970\) | 168.399 | + | 83.9619i | 0.173607 | + | 0.0865586i | ||||
\(971\) | 913.682 | − | 527.514i | 0.940970 | − | 0.543269i | 0.0507056 | − | 0.998714i | \(-0.483853\pi\) |
0.890264 | + | 0.455445i | \(0.150520\pi\) | |||||||
\(972\) | −162.610 | + | 817.858i | −0.167294 | + | 0.841418i | ||||
\(973\) | 1121.66 | + | 647.591i | 1.15279 | + | 0.665561i | ||||
\(974\) | −1642.37 | + | 271.227i | −1.68621 | + | 0.278468i | ||||
\(975\) | 253.278 | + | 226.103i | 0.259772 | + | 0.231901i | ||||
\(976\) | −238.666 | − | 1810.47i | −0.244534 | − | 1.85499i | ||||
\(977\) | − | 253.733i | − | 0.259706i | −0.991533 | − | 0.129853i | \(-0.958549\pi\) | ||
0.991533 | − | 0.129853i | \(-0.0414506\pi\) | |||||||
\(978\) | −138.950 | − | 169.296i | −0.142076 | − | 0.173105i | ||||
\(979\) | 223.720 | + | 129.165i | 0.228518 | + | 0.131935i | ||||
\(980\) | 17.9731 | + | 19.3569i | 0.0183399 | + | 0.0197520i | ||||
\(981\) | 1027.15 | 1.04704 | ||||||||
\(982\) | −0.457008 | + | 0.375089i | −0.000465385 | + | 0.000381965i | ||||
\(983\) | −676.535 | − | 1171.79i | −0.688235 | − | 1.19206i | −0.972409 | − | 0.233284i | \(-0.925053\pi\) |
0.284174 | − | 0.958773i | \(-0.408281\pi\) | |||||||
\(984\) | −1.42709 | + | 43.7635i | −0.00145029 | + | 0.0444751i | ||||
\(985\) | −221.332 | + | 99.1096i | −0.224703 | + | 0.100619i | ||||
\(986\) | 51.9495 | + | 314.570i | 0.0526871 | + | 0.319037i | ||||
\(987\) | −437.035 | −0.442791 | ||||||||
\(988\) | 1015.36 | − | 165.119i | 1.02769 | − | 0.167125i | ||||
\(989\) | −479.397 | −0.484729 | ||||||||
\(990\) | −29.2837 | − | 478.835i | −0.0295795 | − | 0.483672i | ||||
\(991\) | −436.078 | + | 251.770i | −0.440039 | + | 0.254056i | −0.703614 | − | 0.710582i | \(-0.748432\pi\) |
0.263575 | + | 0.964639i | \(0.415098\pi\) | |||||||
\(992\) | 496.409 | + | 464.740i | 0.500413 | + | 0.468488i | ||||
\(993\) | 353.311 | − | 203.984i | 0.355801 | − | 0.205422i | ||||
\(994\) | −307.295 | + | 252.213i | −0.309150 | + | 0.253735i | ||||
\(995\) | −74.7107 | + | 725.709i | −0.0750861 | + | 0.729356i | ||||
\(996\) | 74.4330 | + | 65.2648i | 0.0747319 | + | 0.0655269i | ||||
\(997\) | 611.527 | + | 353.066i | 0.613368 | + | 0.354128i | 0.774282 | − | 0.632840i | \(-0.218111\pi\) |
−0.160915 | + | 0.986968i | \(0.551444\pi\) | |||||||
\(998\) | −1409.55 | + | 1156.88i | −1.41237 | + | 1.15920i | ||||
\(999\) | − | 15.0012i | − | 0.0150162i |
(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 | 380.3.p.a.159.6 | ✓ | 232 | |
4.3 | odd | 2 | inner | 380.3.p.a.159.34 | yes | 232 | |
5.4 | even | 2 | inner | 380.3.p.a.159.111 | yes | 232 | |
19.11 | even | 3 | inner | 380.3.p.a.239.83 | yes | 232 | |
20.19 | odd | 2 | inner | 380.3.p.a.159.83 | yes | 232 | |
76.11 | odd | 6 | inner | 380.3.p.a.239.111 | yes | 232 | |
95.49 | even | 6 | inner | 380.3.p.a.239.34 | yes | 232 | |
380.239 | odd | 6 | inner | 380.3.p.a.239.6 | yes | 232 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.3.p.a.159.6 | ✓ | 232 | 1.1 | even | 1 | trivial | |
380.3.p.a.159.34 | yes | 232 | 4.3 | odd | 2 | inner | |
380.3.p.a.159.83 | yes | 232 | 20.19 | odd | 2 | inner | |
380.3.p.a.159.111 | yes | 232 | 5.4 | even | 2 | inner | |
380.3.p.a.239.6 | yes | 232 | 380.239 | odd | 6 | inner | |
380.3.p.a.239.34 | yes | 232 | 95.49 | even | 6 | inner | |
380.3.p.a.239.83 | yes | 232 | 19.11 | even | 3 | inner | |
380.3.p.a.239.111 | yes | 232 | 76.11 | odd | 6 | inner |