Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(3,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([63, 130]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bi (of order \(180\), degree \(48\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(2400\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 3.11 | ||
Character | \(\chi\) | \(=\) | 950.3 |
Dual form | 950.2.bi.a.317.11 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974370 | − | 0.224951i | −0.688984 | − | 0.159064i | ||||
\(3\) | −0.607413 | + | 0.336695i | −0.350690 | + | 0.194391i | −0.650312 | − | 0.759667i | \(-0.725362\pi\) |
0.299622 | + | 0.954058i | \(0.403140\pi\) | |||||||
\(4\) | 0.898794 | + | 0.438371i | 0.449397 | + | 0.219186i | ||||
\(5\) | 2.22562 | − | 0.215946i | 0.995326 | − | 0.0965739i | ||||
\(6\) | 0.667585 | − | 0.191427i | 0.272541 | − | 0.0781497i | ||||
\(7\) | −0.710217 | − | 0.190302i | −0.268437 | − | 0.0719274i | 0.122090 | − | 0.992519i | \(-0.461040\pi\) |
−0.390527 | + | 0.920592i | \(0.627707\pi\) | |||||||
\(8\) | −0.777146 | − | 0.629320i | −0.274763 | − | 0.222498i | ||||
\(9\) | −1.33417 | + | 2.13512i | −0.444723 | + | 0.711706i | ||||
\(10\) | −2.21715 | − | 0.290244i | −0.701125 | − | 0.0917831i | ||||
\(11\) | −1.75791 | − | 1.95235i | −0.530029 | − | 0.588656i | 0.417360 | − | 0.908741i | \(-0.362955\pi\) |
−0.947389 | + | 0.320085i | \(0.896289\pi\) | |||||||
\(12\) | −0.693537 | + | 0.0363467i | −0.200207 | + | 0.0104924i | ||||
\(13\) | −0.246581 | − | 0.264426i | −0.0683893 | − | 0.0733385i | 0.696239 | − | 0.717810i | \(-0.254855\pi\) |
−0.764628 | + | 0.644471i | \(0.777078\pi\) | |||||||
\(14\) | 0.649206 | + | 0.345189i | 0.173507 | + | 0.0922556i | ||||
\(15\) | −1.27916 | + | 0.880522i | −0.330278 | + | 0.227350i | ||||
\(16\) | 0.615661 | + | 0.788011i | 0.153915 | + | 0.197003i | ||||
\(17\) | 6.15162 | − | 5.34752i | 1.49199 | − | 1.29696i | 0.646570 | − | 0.762854i | \(-0.276203\pi\) |
0.845416 | − | 0.534109i | \(-0.179353\pi\) | |||||||
\(18\) | 1.78027 | − | 1.78027i | 0.419614 | − | 0.419614i | ||||
\(19\) | 0.309061 | − | 4.34793i | 0.0709035 | − | 0.997483i | ||||
\(20\) | 2.09503 | + | 0.781555i | 0.468464 | + | 0.174761i | ||||
\(21\) | 0.495469 | − | 0.123534i | 0.108120 | − | 0.0269574i | ||||
\(22\) | 1.27367 | + | 2.29776i | 0.271547 | + | 0.489883i | ||||
\(23\) | 0.652756 | + | 0.866237i | 0.136109 | + | 0.180623i | 0.861567 | − | 0.507643i | \(-0.169483\pi\) |
−0.725458 | + | 0.688266i | \(0.758372\pi\) | |||||||
\(24\) | 0.683938 | + | 0.120597i | 0.139608 | + | 0.0246167i | ||||
\(25\) | 4.90673 | − | 0.961225i | 0.981347 | − | 0.192245i | ||||
\(26\) | 0.180778 | + | 0.313117i | 0.0354535 | + | 0.0614073i | ||||
\(27\) | 0.200550 | − | 3.82672i | 0.0385958 | − | 0.736452i | ||||
\(28\) | −0.554916 | − | 0.482381i | −0.104869 | − | 0.0911614i | ||||
\(29\) | 3.87775 | − | 0.271159i | 0.720080 | − | 0.0503529i | 0.294985 | − | 0.955502i | \(-0.404685\pi\) |
0.425095 | + | 0.905149i | \(0.360241\pi\) | |||||||
\(30\) | 1.44445 | − | 0.570205i | 0.263719 | − | 0.104105i | ||||
\(31\) | −3.96977 | + | 8.91625i | −0.712992 | + | 1.60141i | 0.0833231 | + | 0.996523i | \(0.473447\pi\) |
−0.796315 | + | 0.604883i | \(0.793220\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | 1.72512 | + | 0.594007i | 0.300305 | + | 0.103403i | ||||
\(34\) | −7.19688 | + | 3.82665i | −1.23425 | + | 0.656265i | ||||
\(35\) | −1.62177 | − | 0.270171i | −0.274128 | − | 0.0456672i | ||||
\(36\) | −2.13512 | + | 1.33417i | −0.355853 | + | 0.222362i | ||||
\(37\) | 1.96402 | − | 3.85461i | 0.322883 | − | 0.633694i | −0.671325 | − | 0.741163i | \(-0.734275\pi\) |
0.994208 | + | 0.107469i | \(0.0342746\pi\) | |||||||
\(38\) | −1.27921 | + | 4.16697i | −0.207515 | + | 0.675971i | ||||
\(39\) | 0.238807 | + | 0.0775932i | 0.0382398 | + | 0.0124249i | ||||
\(40\) | −1.86553 | − | 1.23280i | −0.294966 | − | 0.194923i | ||||
\(41\) | 0.337587 | − | 0.263752i | 0.0527223 | − | 0.0411911i | −0.588956 | − | 0.808165i | \(-0.700461\pi\) |
0.641678 | + | 0.766974i | \(0.278239\pi\) | |||||||
\(42\) | −0.510559 | + | 0.00891185i | −0.0787810 | + | 0.00137513i | ||||
\(43\) | 5.04233 | − | 3.53068i | 0.768949 | − | 0.538424i | −0.121999 | − | 0.992530i | \(-0.538930\pi\) |
0.890947 | + | 0.454107i | \(0.150041\pi\) | |||||||
\(44\) | −0.724141 | − | 2.52538i | −0.109168 | − | 0.380715i | ||||
\(45\) | −2.50828 | + | 5.04006i | −0.373912 | + | 0.751328i | ||||
\(46\) | −0.441165 | − | 0.990873i | −0.0650463 | − | 0.146096i | ||||
\(47\) | −0.149722 | + | 0.172236i | −0.0218393 | + | 0.0251232i | −0.765525 | − | 0.643407i | \(-0.777521\pi\) |
0.743685 | + | 0.668530i | \(0.233076\pi\) | |||||||
\(48\) | −0.639280 | − | 0.271358i | −0.0922721 | − | 0.0391672i | ||||
\(49\) | −5.59398 | − | 3.22969i | −0.799141 | − | 0.461384i | ||||
\(50\) | −4.99720 | − | 0.167186i | −0.706711 | − | 0.0236437i | ||||
\(51\) | −1.93609 | + | 5.31937i | −0.271107 | + | 0.744861i | ||||
\(52\) | −0.105709 | − | 0.345758i | −0.0146592 | − | 0.0479480i | ||||
\(53\) | 1.12963 | + | 3.28068i | 0.155166 | + | 0.450636i | 0.995863 | − | 0.0908709i | \(-0.0289651\pi\) |
−0.840696 | + | 0.541507i | \(0.817854\pi\) | |||||||
\(54\) | −1.05623 | + | 3.68353i | −0.143735 | + | 0.501264i | ||||
\(55\) | −4.33403 | − | 3.96558i | −0.584400 | − | 0.534718i | ||||
\(56\) | 0.432181 | + | 0.594847i | 0.0577527 | + | 0.0794897i | ||||
\(57\) | 1.27620 | + | 2.74505i | 0.169036 | + | 0.363591i | ||||
\(58\) | −3.83936 | − | 0.608095i | −0.504133 | − | 0.0798467i | ||||
\(59\) | 0.649790 | − | 1.60829i | 0.0845955 | − | 0.209381i | −0.878957 | − | 0.476902i | \(-0.841760\pi\) |
0.963552 | + | 0.267520i | \(0.0862043\pi\) | |||||||
\(60\) | −1.53570 | + | 0.230660i | −0.198258 | + | 0.0297781i | ||||
\(61\) | 9.74151 | + | 1.36908i | 1.24727 | + | 0.175293i | 0.731744 | − | 0.681579i | \(-0.238707\pi\) |
0.515529 | + | 0.856872i | \(0.327595\pi\) | |||||||
\(62\) | 5.87374 | − | 7.79472i | 0.745966 | − | 0.989930i | ||||
\(63\) | 1.35387 | − | 1.26250i | 0.170571 | − | 0.159060i | ||||
\(64\) | 0.207912 | + | 0.978148i | 0.0259890 | + | 0.122268i | ||||
\(65\) | −0.605896 | − | 0.535262i | −0.0751522 | − | 0.0663911i | ||||
\(66\) | −1.54729 | − | 0.966851i | −0.190458 | − | 0.119011i | ||||
\(67\) | 8.99413 | − | 5.40422i | 1.09881 | − | 0.660230i | 0.154071 | − | 0.988060i | \(-0.450762\pi\) |
0.944737 | + | 0.327830i | \(0.106317\pi\) | |||||||
\(68\) | 7.87323 | − | 2.10963i | 0.954770 | − | 0.255830i | ||||
\(69\) | −0.688150 | − | 0.306384i | −0.0828435 | − | 0.0368843i | ||||
\(70\) | 1.51942 | + | 0.628064i | 0.181606 | + | 0.0750680i | ||||
\(71\) | 7.99670 | + | 8.28083i | 0.949034 | + | 0.982754i | 0.999873 | − | 0.0159533i | \(-0.00507832\pi\) |
−0.0508387 | + | 0.998707i | \(0.516189\pi\) | |||||||
\(72\) | 2.38052 | − | 0.819678i | 0.280547 | − | 0.0966000i | ||||
\(73\) | 10.5688 | − | 11.3337i | 1.23699 | − | 1.32651i | 0.310316 | − | 0.950634i | \(-0.399565\pi\) |
0.926671 | − | 0.375873i | \(-0.122657\pi\) | |||||||
\(74\) | −2.78078 | + | 3.31401i | −0.323260 | + | 0.385246i | ||||
\(75\) | −2.65678 | + | 2.23593i | −0.306778 | + | 0.258183i | ||||
\(76\) | 2.18379 | − | 3.77241i | 0.250498 | − | 0.432725i | ||||
\(77\) | 0.876958 | + | 1.72113i | 0.0999387 | + | 0.196141i | ||||
\(78\) | −0.215232 | − | 0.129324i | −0.0243702 | − | 0.0146431i | ||||
\(79\) | −1.48689 | − | 0.426358i | −0.167288 | − | 0.0479690i | 0.190948 | − | 0.981600i | \(-0.438844\pi\) |
−0.358236 | + | 0.933631i | \(0.616622\pi\) | |||||||
\(80\) | 1.54039 | + | 1.62086i | 0.172221 | + | 0.181218i | ||||
\(81\) | −2.14442 | − | 4.39672i | −0.238269 | − | 0.488524i | ||||
\(82\) | −0.388266 | + | 0.181051i | −0.0428768 | + | 0.0199938i | ||||
\(83\) | −0.320411 | − | 0.834699i | −0.0351697 | − | 0.0916201i | 0.914871 | − | 0.403746i | \(-0.132292\pi\) |
−0.950041 | + | 0.312126i | \(0.898959\pi\) | |||||||
\(84\) | 0.499478 | + | 0.106167i | 0.0544976 | + | 0.0115838i | ||||
\(85\) | 12.5364 | − | 13.2299i | 1.35976 | − | 1.43499i | ||||
\(86\) | −5.70733 | + | 2.30591i | −0.615437 | + | 0.248653i | ||||
\(87\) | −2.26410 | + | 1.47032i | −0.242737 | + | 0.157635i | ||||
\(88\) | 0.137494 | + | 2.62355i | 0.0146570 | + | 0.279671i | ||||
\(89\) | −1.02068 | + | 1.30640i | −0.108191 | + | 0.138479i | −0.839059 | − | 0.544041i | \(-0.816894\pi\) |
0.730867 | + | 0.682520i | \(0.239116\pi\) | |||||||
\(90\) | 3.57776 | − | 4.34665i | 0.377129 | − | 0.458177i | ||||
\(91\) | 0.124805 | + | 0.234725i | 0.0130831 | + | 0.0246058i | ||||
\(92\) | 0.206960 | + | 1.06472i | 0.0215771 | + | 0.111005i | ||||
\(93\) | −0.590763 | − | 6.75245i | −0.0612592 | − | 0.700196i | ||||
\(94\) | 0.184630 | − | 0.134141i | 0.0190431 | − | 0.0138356i | ||||
\(95\) | −0.251065 | − | 9.74356i | −0.0257587 | − | 0.999668i | ||||
\(96\) | 0.561853 | + | 0.408210i | 0.0573439 | + | 0.0416628i | ||||
\(97\) | −3.08399 | + | 5.13263i | −0.313132 | + | 0.521139i | −0.973168 | − | 0.230095i | \(-0.926096\pi\) |
0.660036 | + | 0.751234i | \(0.270541\pi\) | |||||||
\(98\) | 4.72409 | + | 4.40528i | 0.477205 | + | 0.445001i | ||||
\(99\) | 6.51385 | − | 1.14857i | 0.654667 | − | 0.115435i | ||||
\(100\) | 4.83152 | + | 1.28703i | 0.483152 | + | 0.128703i | ||||
\(101\) | 7.56101 | + | 2.75198i | 0.752348 | + | 0.273832i | 0.689594 | − | 0.724197i | \(-0.257789\pi\) |
0.0627547 | + | 0.998029i | \(0.480011\pi\) | |||||||
\(102\) | 3.08307 | − | 4.74751i | 0.305269 | − | 0.470073i | ||||
\(103\) | 1.47801 | − | 3.85034i | 0.145632 | − | 0.379385i | −0.841289 | − | 0.540585i | \(-0.818203\pi\) |
0.986922 | + | 0.161200i | \(0.0515363\pi\) | |||||||
\(104\) | 0.0252209 | + | 0.360676i | 0.00247311 | + | 0.0353672i | ||||
\(105\) | 1.07605 | − | 0.381934i | 0.105011 | − | 0.0372730i | ||||
\(106\) | −0.362684 | − | 3.45071i | −0.0352270 | − | 0.335162i | ||||
\(107\) | 3.99745 | − | 14.9187i | 0.386448 | − | 1.44224i | −0.449424 | − | 0.893319i | \(-0.648371\pi\) |
0.835872 | − | 0.548925i | \(-0.184963\pi\) | |||||||
\(108\) | 1.85778 | − | 3.35152i | 0.178765 | − | 0.322500i | ||||
\(109\) | −11.8189 | + | 1.66104i | −1.13205 | + | 0.159099i | −0.680221 | − | 0.733007i | \(-0.738116\pi\) |
−0.451827 | + | 0.892106i | \(0.649228\pi\) | |||||||
\(110\) | 3.33089 | + | 4.83888i | 0.317587 | + | 0.461369i | ||||
\(111\) | 0.104854 | + | 3.00262i | 0.00995228 | + | 0.284996i | ||||
\(112\) | −0.287293 | − | 0.676820i | −0.0271467 | − | 0.0639535i | ||||
\(113\) | 6.91665 | + | 3.52421i | 0.650664 | + | 0.331530i | 0.747978 | − | 0.663724i | \(-0.231025\pi\) |
−0.0973138 | + | 0.995254i | \(0.531025\pi\) | |||||||
\(114\) | −0.625986 | − | 2.96178i | −0.0586290 | − | 0.277396i | ||||
\(115\) | 1.63984 | + | 1.78695i | 0.152916 | + | 0.166634i | ||||
\(116\) | 3.60416 | + | 1.45618i | 0.334638 | + | 0.135203i | ||||
\(117\) | 0.893561 | − | 0.173691i | 0.0826098 | − | 0.0160577i | ||||
\(118\) | −0.994922 | + | 1.42090i | −0.0915900 | + | 0.130804i | ||||
\(119\) | −5.38663 | + | 2.62723i | −0.493791 | + | 0.240838i | ||||
\(120\) | 1.54823 | + | 0.120708i | 0.141333 | + | 0.0110191i | ||||
\(121\) | 0.428367 | − | 4.07564i | 0.0389424 | − | 0.370512i | ||||
\(122\) | −9.18386 | − | 3.52536i | −0.831468 | − | 0.319171i | ||||
\(123\) | −0.116251 | + | 0.273870i | −0.0104820 | + | 0.0246941i | ||||
\(124\) | −7.47663 | + | 6.27364i | −0.671421 | + | 0.563389i | ||||
\(125\) | 10.7129 | − | 3.19891i | 0.958194 | − | 0.286119i | ||||
\(126\) | −1.60317 | + | 0.925590i | −0.142822 | + | 0.0824581i | ||||
\(127\) | −15.1826 | + | 1.86419i | −1.34724 | + | 0.165420i | −0.763126 | − | 0.646250i | \(-0.776336\pi\) |
−0.584116 | + | 0.811670i | \(0.698559\pi\) | |||||||
\(128\) | 0.0174524 | − | 0.999848i | 0.00154259 | − | 0.0883749i | ||||
\(129\) | −1.87402 | + | 3.84231i | −0.164998 | + | 0.338296i | ||||
\(130\) | 0.469959 | + | 0.657840i | 0.0412182 | + | 0.0576964i | ||||
\(131\) | −7.47912 | − | 0.522991i | −0.653454 | − | 0.0456940i | −0.260818 | − | 0.965388i | \(-0.583992\pi\) |
−0.392636 | + | 0.919694i | \(0.628437\pi\) | |||||||
\(132\) | 1.29013 | + | 1.29013i | 0.112292 | + | 0.112292i | ||||
\(133\) | −1.04692 | + | 3.02916i | −0.0907795 | + | 0.262661i | ||||
\(134\) | −9.97929 | + | 3.24247i | −0.862080 | + | 0.280107i | ||||
\(135\) | −0.380017 | − | 8.56011i | −0.0327066 | − | 0.736737i | ||||
\(136\) | −8.14600 | + | 0.284465i | −0.698514 | + | 0.0243927i | ||||
\(137\) | −2.74741 | + | 8.98638i | −0.234727 | + | 0.767758i | 0.758511 | + | 0.651661i | \(0.225927\pi\) |
−0.993238 | + | 0.116097i | \(0.962962\pi\) | |||||||
\(138\) | 0.601591 | + | 0.453332i | 0.0512109 | + | 0.0385902i | ||||
\(139\) | −9.15951 | − | 7.15620i | −0.776900 | − | 0.606981i | 0.147211 | − | 0.989105i | \(-0.452970\pi\) |
−0.924111 | + | 0.382124i | \(0.875193\pi\) | |||||||
\(140\) | −1.33920 | − | 0.953763i | −0.113183 | − | 0.0806077i | ||||
\(141\) | 0.0329525 | − | 0.155029i | 0.00277510 | − | 0.0130558i | ||||
\(142\) | −5.92897 | − | 9.86746i | −0.497548 | − | 0.828059i | ||||
\(143\) | −0.0827860 | + | 0.946249i | −0.00692292 | + | 0.0791293i | ||||
\(144\) | −2.50389 | + | 0.263170i | −0.208658 | + | 0.0219308i | ||||
\(145\) | 8.57182 | − | 1.44088i | 0.711851 | − | 0.119658i | ||||
\(146\) | −12.8475 | + | 8.66573i | −1.06326 | + | 0.717181i | ||||
\(147\) | 4.48528 | + | 0.0782909i | 0.369940 | + | 0.00645732i | ||||
\(148\) | 3.45500 | − | 2.60353i | 0.283999 | − | 0.214009i | ||||
\(149\) | 2.19755 | + | 6.03772i | 0.180030 | + | 0.494629i | 0.996579 | − | 0.0826477i | \(-0.0263376\pi\) |
−0.816549 | + | 0.577277i | \(0.804115\pi\) | |||||||
\(150\) | 3.09166 | − | 1.58098i | 0.252433 | − | 0.129087i | ||||
\(151\) | − | 6.69754i | − | 0.545038i | −0.962150 | − | 0.272519i | \(-0.912143\pi\) | ||
0.962150 | − | 0.272519i | \(-0.0878568\pi\) | |||||||
\(152\) | −2.97643 | + | 3.18448i | −0.241420 | + | 0.258295i | ||||
\(153\) | 3.21028 | + | 20.2689i | 0.259536 | + | 1.63865i | ||||
\(154\) | −0.467312 | − | 1.87429i | −0.0376571 | − | 0.151034i | ||||
\(155\) | −6.90976 | + | 20.7014i | −0.555005 | + | 1.66278i | ||||
\(156\) | 0.180624 | + | 0.174427i | 0.0144615 | + | 0.0139653i | ||||
\(157\) | 6.23674 | + | 8.90698i | 0.497746 | + | 0.710855i | 0.986898 | − | 0.161344i | \(-0.0515827\pi\) |
−0.489152 | + | 0.872198i | \(0.662694\pi\) | |||||||
\(158\) | 1.35287 | + | 0.749907i | 0.107628 | + | 0.0596594i | ||||
\(159\) | −1.79074 | − | 1.61239i | −0.142015 | − | 0.127871i | ||||
\(160\) | −1.13630 | − | 1.92583i | −0.0898324 | − | 0.152250i | ||||
\(161\) | −0.298752 | − | 0.739437i | −0.0235449 | − | 0.0582758i | ||||
\(162\) | 1.10042 | + | 4.76642i | 0.0864568 | + | 0.374485i | ||||
\(163\) | −6.96313 | − | 10.7223i | −0.545394 | − | 0.839834i | 0.453277 | − | 0.891370i | \(-0.350255\pi\) |
−0.998671 | + | 0.0515361i | \(0.983588\pi\) | |||||||
\(164\) | 0.419043 | − | 0.0890703i | 0.0327217 | − | 0.00695522i | ||||
\(165\) | 3.96773 | + | 0.949499i | 0.308888 | + | 0.0739184i | ||||
\(166\) | 0.124432 | + | 0.885383i | 0.00965783 | + | 0.0687190i | ||||
\(167\) | −0.0635479 | − | 3.64066i | −0.00491749 | − | 0.281723i | −0.992334 | − | 0.123583i | \(-0.960561\pi\) |
0.987417 | − | 0.158140i | \(-0.0505496\pi\) | |||||||
\(168\) | −0.462794 | − | 0.215805i | −0.0357054 | − | 0.0166497i | ||||
\(169\) | 0.897715 | − | 12.8379i | 0.0690550 | − | 0.987533i | ||||
\(170\) | −15.1911 | + | 10.0708i | −1.16511 | + | 0.772394i | ||||
\(171\) | 8.87100 | + | 6.46076i | 0.678383 | + | 0.494067i | ||||
\(172\) | 6.07977 | − | 0.962941i | 0.463578 | − | 0.0734235i | ||||
\(173\) | −1.14116 | + | 4.94291i | −0.0867608 | + | 0.375802i | −0.999461 | − | 0.0328274i | \(-0.989549\pi\) |
0.912700 | + | 0.408630i | \(0.133993\pi\) | |||||||
\(174\) | 2.53682 | − | 0.923327i | 0.192316 | − | 0.0699972i | ||||
\(175\) | −3.66777 | − | 0.251084i | −0.277257 | − | 0.0189801i | ||||
\(176\) | 0.456200 | − | 2.58724i | 0.0343873 | − | 0.195020i | ||||
\(177\) | 0.146811 | + | 1.19568i | 0.0110350 | + | 0.0898725i | ||||
\(178\) | 1.28839 | − | 1.04332i | 0.0965691 | − | 0.0782001i | ||||
\(179\) | −9.96080 | + | 4.43483i | −0.744505 | + | 0.331475i | −0.743690 | − | 0.668525i | \(-0.766926\pi\) |
−0.000814919 | 1.00000i | \(0.500259\pi\) | ||||||||
\(180\) | −4.46385 | + | 3.43042i | −0.332715 | + | 0.255688i | ||||
\(181\) | 2.18882 | + | 0.545734i | 0.162694 | + | 0.0405641i | 0.322417 | − | 0.946598i | \(-0.395505\pi\) |
−0.159723 | + | 0.987162i | \(0.551060\pi\) | |||||||
\(182\) | −0.0688050 | − | 0.256784i | −0.00510016 | − | 0.0190341i | ||||
\(183\) | −6.37809 | + | 2.44832i | −0.471482 | + | 0.180985i | ||||
\(184\) | 0.0378536 | − | 1.08399i | 0.00279060 | − | 0.0799124i | ||||
\(185\) | 3.53877 | − | 9.00301i | 0.260176 | − | 0.661914i | ||||
\(186\) | −0.943349 | + | 6.71228i | −0.0691697 | + | 0.492168i | ||||
\(187\) | −21.2542 | − | 2.60969i | −1.55426 | − | 0.190839i | ||||
\(188\) | −0.210073 | + | 0.0891707i | −0.0153211 | + | 0.00650344i | ||||
\(189\) | −0.870666 | + | 2.67963i | −0.0633316 | + | 0.194915i | ||||
\(190\) | −1.94719 | + | 9.55031i | −0.141264 | + | 0.692852i | ||||
\(191\) | 6.01984 | + | 18.5272i | 0.435580 | + | 1.34058i | 0.892491 | + | 0.451066i | \(0.148956\pi\) |
−0.456910 | + | 0.889513i | \(0.651044\pi\) | |||||||
\(192\) | −0.455625 | − | 0.524137i | −0.0328819 | − | 0.0378263i | ||||
\(193\) | −6.33659 | + | 13.5889i | −0.456118 | + | 0.978148i | 0.534962 | + | 0.844876i | \(0.320326\pi\) |
−0.991080 | + | 0.133272i | \(0.957452\pi\) | |||||||
\(194\) | 4.15954 | − | 4.30733i | 0.298638 | − | 0.309248i | ||||
\(195\) | 0.548249 | + | 0.121123i | 0.0392610 | + | 0.00867382i | ||||
\(196\) | −3.61204 | − | 5.35507i | −0.258003 | − | 0.382505i | ||||
\(197\) | −10.8078 | − | 13.3466i | −0.770026 | − | 0.950904i | 0.229724 | − | 0.973256i | \(-0.426218\pi\) |
−0.999750 | + | 0.0223524i | \(0.992884\pi\) | |||||||
\(198\) | −6.60527 | − | 0.346168i | −0.469416 | − | 0.0246011i | ||||
\(199\) | −6.52681 | − | 7.77835i | −0.462673 | − | 0.551392i | 0.483377 | − | 0.875412i | \(-0.339410\pi\) |
−0.946050 | + | 0.324020i | \(0.894966\pi\) | |||||||
\(200\) | −4.41817 | − | 2.34090i | −0.312412 | − | 0.165526i | ||||
\(201\) | −3.64358 | + | 6.31087i | −0.256998 | + | 0.445134i | ||||
\(202\) | −6.74816 | − | 4.38230i | −0.474799 | − | 0.308338i | ||||
\(203\) | −2.80564 | − | 0.545362i | −0.196918 | − | 0.0382769i | ||||
\(204\) | −4.07201 | + | 3.93229i | −0.285097 | + | 0.275315i | ||||
\(205\) | 0.694383 | − | 0.659911i | 0.0484978 | − | 0.0460902i | ||||
\(206\) | −2.30626 | + | 3.41918i | −0.160685 | + | 0.238225i | ||||
\(207\) | −2.72041 | + | 0.238005i | −0.189081 | + | 0.0165425i | ||||
\(208\) | 0.0565599 | − | 0.357105i | 0.00392172 | − | 0.0247608i | ||||
\(209\) | −9.03199 | + | 7.03985i | −0.624756 | + | 0.486957i | ||||
\(210\) | −1.13438 | + | 0.130087i | −0.0782800 | + | 0.00897689i | ||||
\(211\) | 4.36994 | + | 6.99337i | 0.300839 | + | 0.481443i | 0.963585 | − | 0.267401i | \(-0.0861647\pi\) |
−0.662746 | + | 0.748844i | \(0.730609\pi\) | |||||||
\(212\) | −0.422852 | + | 3.44385i | −0.0290416 | + | 0.236525i | ||||
\(213\) | −7.64542 | − | 2.33744i | −0.523855 | − | 0.160159i | ||||
\(214\) | −7.25097 | + | 13.6371i | −0.495666 | + | 0.932212i | ||||
\(215\) | 10.4599 | − | 8.94681i | 0.713357 | − | 0.610167i | ||||
\(216\) | −2.56409 | + | 2.84771i | −0.174464 | + | 0.193762i | ||||
\(217\) | 4.51618 | − | 5.57701i | 0.306578 | − | 0.378592i | ||||
\(218\) | 11.8897 | + | 1.04021i | 0.805270 | + | 0.0704520i | ||||
\(219\) | −2.60366 | + | 10.4427i | −0.175939 | + | 0.705652i | ||||
\(220\) | −2.15700 | − | 5.46415i | −0.145425 | − | 0.368393i | ||||
\(221\) | −2.93089 | − | 0.308049i | −0.197153 | − | 0.0207216i | ||||
\(222\) | 0.573276 | − | 2.94925i | 0.0384758 | − | 0.197941i | ||||
\(223\) | −15.8948 | + | 4.85952i | −1.06439 | + | 0.325417i | −0.775110 | − | 0.631826i | \(-0.782306\pi\) |
−0.289282 | + | 0.957244i | \(0.593417\pi\) | |||||||
\(224\) | 0.127678 | + | 0.724100i | 0.00853087 | + | 0.0483810i | ||||
\(225\) | −4.49409 | + | 11.7589i | −0.299606 | + | 0.783927i | ||||
\(226\) | −5.94660 | − | 4.98979i | −0.395562 | − | 0.331916i | ||||
\(227\) | −2.28792 | + | 1.16575i | −0.151855 | + | 0.0773738i | −0.528266 | − | 0.849079i | \(-0.677158\pi\) |
0.376412 | + | 0.926452i | \(0.377158\pi\) | |||||||
\(228\) | −0.0563124 | + | 3.02668i | −0.00372938 | + | 0.200447i | ||||
\(229\) | 7.46871 | − | 10.2798i | 0.493546 | − | 0.679308i | −0.487491 | − | 0.873128i | \(-0.662088\pi\) |
0.981037 | + | 0.193820i | \(0.0620878\pi\) | |||||||
\(230\) | −1.19584 | − | 2.11004i | −0.0788513 | − | 0.139132i | ||||
\(231\) | −1.11217 | − | 0.750168i | −0.0731754 | − | 0.0493575i | ||||
\(232\) | −3.18422 | − | 2.22962i | −0.209054 | − | 0.146381i | ||||
\(233\) | −4.53670 | + | 13.1755i | −0.297209 | + | 0.863158i | 0.692671 | + | 0.721254i | \(0.256434\pi\) |
−0.989880 | + | 0.141905i | \(0.954677\pi\) | |||||||
\(234\) | −0.909731 | − | 0.0317685i | −0.0594710 | − | 0.00207677i | ||||
\(235\) | −0.296031 | + | 0.415663i | −0.0193109 | + | 0.0271149i | ||||
\(236\) | 1.28905 | − | 1.16067i | 0.0839103 | − | 0.0755531i | ||||
\(237\) | 1.04671 | − | 0.241651i | 0.0679909 | − | 0.0156969i | ||||
\(238\) | 5.83957 | − | 1.34817i | 0.378523 | − | 0.0873889i | ||||
\(239\) | 1.69571 | − | 1.52682i | 0.109686 | − | 0.0987619i | −0.612463 | − | 0.790499i | \(-0.709821\pi\) |
0.722149 | + | 0.691737i | \(0.243154\pi\) | |||||||
\(240\) | −1.48139 | − | 0.465890i | −0.0956234 | − | 0.0300730i | ||||
\(241\) | 15.6021 | + | 0.544837i | 1.00502 | + | 0.0350960i | 0.532676 | − | 0.846319i | \(-0.321186\pi\) |
0.472342 | + | 0.881415i | \(0.343409\pi\) | |||||||
\(242\) | −1.33421 | + | 3.87482i | −0.0857660 | + | 0.249083i | ||||
\(243\) | 12.1998 | + | 8.54239i | 0.782618 | + | 0.547995i | ||||
\(244\) | 8.15545 | + | 5.50092i | 0.522099 | + | 0.352160i | ||||
\(245\) | −13.1475 | − | 5.98005i | −0.839963 | − | 0.382051i | ||||
\(246\) | 0.174879 | − | 0.240700i | 0.0111499 | − | 0.0153465i | ||||
\(247\) | −1.22591 | + | 0.990393i | −0.0780030 | + | 0.0630172i | ||||
\(248\) | 8.69627 | − | 4.43097i | 0.552213 | − | 0.281367i | ||||
\(249\) | 0.475661 | + | 0.399127i | 0.0301438 | + | 0.0252936i | ||||
\(250\) | −11.1580 | + | 0.707032i | −0.705691 | + | 0.0447167i | ||||
\(251\) | 5.37713 | + | 30.4952i | 0.339402 | + | 1.92484i | 0.378488 | + | 0.925606i | \(0.376444\pi\) |
−0.0390864 | + | 0.999236i | \(0.512445\pi\) | |||||||
\(252\) | 1.77029 | − | 0.541233i | 0.111518 | − | 0.0340945i | ||||
\(253\) | 0.543715 | − | 2.79717i | 0.0341831 | − | 0.175857i | ||||
\(254\) | 15.2129 | + | 1.59894i | 0.954540 | + | 0.100326i | ||||
\(255\) | −3.16030 | + | 12.2570i | −0.197906 | + | 0.767561i | ||||
\(256\) | −0.241922 | + | 0.970296i | −0.0151201 | + | 0.0606435i | ||||
\(257\) | 24.0808 | + | 2.10680i | 1.50212 | + | 0.131419i | 0.808318 | − | 0.588746i | \(-0.200378\pi\) |
0.693803 | + | 0.720164i | \(0.255934\pi\) | |||||||
\(258\) | 2.69032 | − | 3.32227i | 0.167492 | − | 0.206835i | ||||
\(259\) | −2.12842 | + | 2.36385i | −0.132254 | + | 0.146883i | ||||
\(260\) | −0.309932 | − | 0.746698i | −0.0192212 | − | 0.0463082i | ||||
\(261\) | −4.59462 | + | 8.64122i | −0.284400 | + | 0.534878i | ||||
\(262\) | 7.16979 | + | 2.19202i | 0.442951 | + | 0.135424i | ||||
\(263\) | 2.43178 | − | 19.8053i | 0.149950 | − | 1.22124i | −0.707514 | − | 0.706700i | \(-0.750183\pi\) |
0.857464 | − | 0.514545i | \(-0.172039\pi\) | |||||||
\(264\) | −0.966851 | − | 1.54729i | −0.0595056 | − | 0.0952288i | ||||
\(265\) | 3.22257 | + | 7.05760i | 0.197961 | + | 0.433545i | ||||
\(266\) | 1.70150 | − | 2.71601i | 0.104326 | − | 0.166530i | ||||
\(267\) | 0.180112 | − | 1.13718i | 0.0110227 | − | 0.0695945i | ||||
\(268\) | 10.4529 | − | 0.914512i | 0.638514 | − | 0.0558627i | ||||
\(269\) | −15.6242 | + | 23.1639i | −0.952627 | + | 1.41233i | −0.0419914 | + | 0.999118i | \(0.513370\pi\) |
−0.910636 | + | 0.413210i | \(0.864408\pi\) | |||||||
\(270\) | −1.55533 | + | 8.42620i | −0.0946543 | + | 0.512802i | ||||
\(271\) | 0.839101 | − | 0.810311i | 0.0509718 | − | 0.0492229i | −0.668736 | − | 0.743500i | \(-0.733165\pi\) |
0.719708 | + | 0.694277i | \(0.244276\pi\) | |||||||
\(272\) | 8.00121 | + | 1.55528i | 0.485145 | + | 0.0943026i | ||||
\(273\) | −0.154839 | − | 0.100554i | −0.00937127 | − | 0.00608578i | ||||
\(274\) | 4.69849 | − | 8.13802i | 0.283846 | − | 0.491636i | ||||
\(275\) | −10.5022 | − | 7.88993i | −0.633308 | − | 0.475781i | ||||
\(276\) | −0.484195 | − | 0.577041i | −0.0291451 | − | 0.0347338i | ||||
\(277\) | −0.837134 | − | 0.0438723i | −0.0502985 | − | 0.00263603i | 0.0271701 | − | 0.999631i | \(-0.491350\pi\) |
−0.0774686 | + | 0.996995i | \(0.524684\pi\) | |||||||
\(278\) | 7.31496 | + | 9.03323i | 0.438722 | + | 0.541777i | ||||
\(279\) | −13.7409 | − | 20.3717i | −0.822646 | − | 1.21962i | ||||
\(280\) | 1.09032 | + | 1.23057i | 0.0651593 | + | 0.0735408i | ||||
\(281\) | −18.0508 | + | 18.6922i | −1.07682 | + | 1.11508i | −0.0838820 | + | 0.996476i | \(0.526732\pi\) |
−0.992941 | + | 0.118607i | \(0.962157\pi\) | |||||||
\(282\) | −0.0669819 | + | 0.143643i | −0.00398871 | + | 0.00855382i | ||||
\(283\) | 10.8115 | + | 12.4372i | 0.642675 | + | 0.739313i | 0.979320 | − | 0.202319i | \(-0.0648477\pi\) |
−0.336645 | + | 0.941632i | \(0.609292\pi\) | |||||||
\(284\) | 3.55731 | + | 10.9483i | 0.211088 | + | 0.649661i | ||||
\(285\) | 3.43311 | + | 5.83384i | 0.203360 | + | 0.345567i | ||||
\(286\) | 0.293524 | − | 0.903374i | 0.0173564 | − | 0.0534176i | ||||
\(287\) | −0.289953 | + | 0.123078i | −0.0171154 | + | 0.00726504i | ||||
\(288\) | 2.49892 | + | 0.306829i | 0.147250 | + | 0.0180801i | ||||
\(289\) | 6.88048 | − | 48.9572i | 0.404734 | − | 2.87983i | ||||
\(290\) | −8.67625 | − | 0.524292i | −0.509487 | − | 0.0307875i | ||||
\(291\) | 0.145130 | − | 4.15599i | 0.00850769 | − | 0.243628i | ||||
\(292\) | 14.4676 | − | 5.55357i | 0.846649 | − | 0.324998i | ||||
\(293\) | 2.41745 | + | 9.02204i | 0.141229 | + | 0.527073i | 0.999894 | + | 0.0145367i | \(0.00462735\pi\) |
−0.858666 | + | 0.512536i | \(0.828706\pi\) | |||||||
\(294\) | −4.35271 | − | 1.08525i | −0.253855 | − | 0.0632932i | ||||
\(295\) | 1.09888 | − | 3.71975i | 0.0639793 | − | 0.216572i | ||||
\(296\) | −3.95212 | + | 1.75960i | −0.229712 | + | 0.102274i | ||||
\(297\) | −7.82365 | + | 6.33547i | −0.453974 | + | 0.367621i | ||||
\(298\) | −0.783035 | − | 6.37731i | −0.0453600 | − | 0.369428i | ||||
\(299\) | 0.0680980 | − | 0.386203i | 0.00393821 | − | 0.0223347i | ||||
\(300\) | −3.36806 | + | 0.844988i | −0.194455 | + | 0.0487854i | ||||
\(301\) | −4.25305 | + | 1.54798i | −0.245142 | + | 0.0892242i | ||||
\(302\) | −1.50662 | + | 6.52588i | −0.0866962 | + | 0.375522i | ||||
\(303\) | −5.51923 | + | 0.874161i | −0.317072 | + | 0.0502192i | ||||
\(304\) | 3.61649 | − | 2.43331i | 0.207420 | − | 0.139560i | ||||
\(305\) | 21.9765 | + | 0.943409i | 1.25837 | + | 0.0540194i | ||||
\(306\) | 1.43151 | − | 20.4716i | 0.0818342 | − | 1.17028i | ||||
\(307\) | −19.7700 | − | 9.21891i | −1.12833 | − | 0.526151i | −0.233414 | − | 0.972377i | \(-0.574990\pi\) |
−0.894920 | + | 0.446227i | \(0.852768\pi\) | |||||||
\(308\) | 0.0337122 | + | 1.93137i | 0.00192093 | + | 0.110050i | ||||
\(309\) | 0.398628 | + | 2.83639i | 0.0226772 | + | 0.161356i | ||||
\(310\) | 11.3895 | − | 18.6165i | 0.646878 | − | 1.05734i | ||||
\(311\) | 0.958472 | − | 0.203730i | 0.0543500 | − | 0.0115524i | −0.180656 | − | 0.983546i | \(-0.557822\pi\) |
0.235006 | + | 0.971994i | \(0.424489\pi\) | |||||||
\(312\) | −0.136757 | − | 0.210588i | −0.00774235 | − | 0.0119222i | ||||
\(313\) | 1.34129 | + | 5.80976i | 0.0758141 | + | 0.328387i | 0.998343 | − | 0.0575406i | \(-0.0183259\pi\) |
−0.922529 | + | 0.385928i | \(0.873881\pi\) | |||||||
\(314\) | −4.07326 | − | 10.0817i | −0.229867 | − | 0.568941i | ||||
\(315\) | 2.74056 | − | 3.10221i | 0.154413 | − | 0.174790i | ||||
\(316\) | −1.14950 | − | 1.03502i | −0.0646645 | − | 0.0582242i | ||||
\(317\) | −30.6774 | − | 17.0047i | −1.72301 | − | 0.955081i | −0.945144 | − | 0.326653i | \(-0.894079\pi\) |
−0.777868 | − | 0.628428i | \(-0.783699\pi\) | |||||||
\(318\) | 1.38213 | + | 1.97389i | 0.0775062 | + | 0.110690i | ||||
\(319\) | −7.34611 | − | 7.09406i | −0.411303 | − | 0.397191i | ||||
\(320\) | 0.673958 | + | 2.13208i | 0.0376754 | + | 0.119187i | ||||
\(321\) | 2.59494 | + | 10.4077i | 0.144835 | + | 0.580903i | ||||
\(322\) | 0.124758 | + | 0.787690i | 0.00695248 | + | 0.0438962i | ||||
\(323\) | −21.3494 | − | 28.3995i | −1.18791 | − | 1.58019i | ||||
\(324\) | − | 4.89180i | − | 0.271767i | ||||||
\(325\) | −1.46408 | − | 1.06045i | −0.0812125 | − | 0.0588230i | ||||
\(326\) | 4.37268 | + | 12.0138i | 0.242180 | + | 0.665385i | ||||
\(327\) | 6.61971 | − | 4.98831i | 0.366071 | − | 0.275854i | ||||
\(328\) | −0.428339 | − | 0.00747668i | −0.0236511 | − | 0.000412831i | ||||
\(329\) | 0.139112 | − | 0.0938324i | 0.00766951 | − | 0.00517315i | ||||
\(330\) | −3.65245 | − | 1.81771i | −0.201061 | − | 0.100062i | ||||
\(331\) | −19.1355 | + | 2.01122i | −1.05178 | + | 0.110547i | −0.614610 | − | 0.788831i | \(-0.710687\pi\) |
−0.437173 | + | 0.899378i | \(0.644020\pi\) | |||||||
\(332\) | 0.0779245 | − | 0.890681i | 0.00427666 | − | 0.0488825i | ||||
\(333\) | 5.60971 | + | 9.33613i | 0.307410 | + | 0.511617i | ||||
\(334\) | −0.757051 | + | 3.56164i | −0.0414240 | + | 0.194885i | ||||
\(335\) | 18.8505 | − | 13.9700i | 1.02991 | − | 0.763260i | ||||
\(336\) | 0.402388 | + | 0.314380i | 0.0219520 | + | 0.0171508i | ||||
\(337\) | −18.8853 | − | 14.2311i | −1.02875 | − | 0.775218i | −0.0540039 | − | 0.998541i | \(-0.517198\pi\) |
−0.974744 | + | 0.223323i | \(0.928309\pi\) | |||||||
\(338\) | −3.76261 | + | 12.3070i | −0.204659 | + | 0.669410i | ||||
\(339\) | −5.38785 | + | 0.188148i | −0.292628 | + | 0.0102188i | ||||
\(340\) | 17.0672 | − | 6.39541i | 0.925600 | − | 0.346840i | ||||
\(341\) | 24.3861 | − | 7.92354i | 1.32058 | − | 0.429084i | ||||
\(342\) | −7.19028 | − | 8.29071i | −0.388806 | − | 0.448310i | ||||
\(343\) | 6.99773 | + | 6.99773i | 0.377842 | + | 0.377842i | ||||
\(344\) | −6.14056 | − | 0.429390i | −0.331077 | − | 0.0231511i | ||||
\(345\) | −1.59772 | − | 0.533290i | −0.0860184 | − | 0.0287114i | ||||
\(346\) | 2.22382 | − | 4.55952i | 0.119554 | − | 0.245121i | ||||
\(347\) | −0.584635 | + | 33.4937i | −0.0313848 | + | 1.79804i | 0.421872 | + | 0.906656i | \(0.361373\pi\) |
−0.453256 | + | 0.891380i | \(0.649738\pi\) | |||||||
\(348\) | −2.67950 | + | 0.329002i | −0.143637 | + | 0.0176363i | ||||
\(349\) | −10.9016 | + | 6.29403i | −0.583549 | + | 0.336912i | −0.762542 | − | 0.646938i | \(-0.776049\pi\) |
0.178994 | + | 0.983850i | \(0.442716\pi\) | |||||||
\(350\) | 3.51728 | + | 1.06972i | 0.188007 | + | 0.0571788i | ||||
\(351\) | −1.06133 | + | 0.890565i | −0.0566498 | + | 0.0475349i | ||||
\(352\) | −1.02651 | + | 2.41830i | −0.0547131 | + | 0.128896i | ||||
\(353\) | 3.58077 | + | 1.37453i | 0.190585 | + | 0.0731588i | 0.451789 | − | 0.892125i | \(-0.350786\pi\) |
−0.261204 | + | 0.965284i | \(0.584119\pi\) | |||||||
\(354\) | 0.125921 | − | 1.19806i | 0.00669261 | − | 0.0636759i | ||||
\(355\) | 19.5858 | + | 16.7031i | 1.03951 | + | 0.886508i | ||||
\(356\) | −1.49007 | + | 0.726754i | −0.0789734 | + | 0.0385179i | ||||
\(357\) | 2.38733 | − | 3.40946i | 0.126351 | − | 0.180448i | ||||
\(358\) | 10.7031 | − | 2.08048i | 0.565678 | − | 0.109957i | ||||
\(359\) | −1.04374 | − | 0.421700i | −0.0550867 | − | 0.0222565i | 0.346898 | − | 0.937903i | \(-0.387235\pi\) |
−0.401985 | + | 0.915646i | \(0.631679\pi\) | |||||||
\(360\) | 5.12111 | − | 2.33835i | 0.269906 | − | 0.123242i | ||||
\(361\) | −18.8090 | − | 2.68755i | −0.989945 | − | 0.141450i | ||||
\(362\) | −2.00996 | − | 1.02412i | −0.105641 | − | 0.0538267i | ||||
\(363\) | 1.11205 | + | 2.61982i | 0.0583675 | + | 0.137505i | ||||
\(364\) | 0.00927775 | + | 0.265680i | 0.000486286 | + | 0.0139254i | ||||
\(365\) | 21.0747 | − | 27.5067i | 1.10310 | − | 1.43977i | ||||
\(366\) | 6.76537 | − | 0.950811i | 0.353632 | − | 0.0496997i | ||||
\(367\) | 1.09048 | − | 1.96728i | 0.0569227 | − | 0.102691i | −0.844650 | − | 0.535319i | \(-0.820191\pi\) |
0.901573 | + | 0.432628i | \(0.142414\pi\) | |||||||
\(368\) | −0.280727 | + | 1.04769i | −0.0146339 | + | 0.0546145i | ||||
\(369\) | 0.112743 | + | 1.07268i | 0.00586917 | + | 0.0558414i | ||||
\(370\) | −5.47331 | + | 7.97621i | −0.284544 | + | 0.414663i | ||||
\(371\) | −0.177961 | − | 2.54497i | −0.00923929 | − | 0.132128i | ||||
\(372\) | 2.42910 | − | 6.32803i | 0.125943 | − | 0.328093i | ||||
\(373\) | 6.05985 | − | 9.33134i | 0.313767 | − | 0.483159i | −0.646240 | − | 0.763134i | \(-0.723660\pi\) |
0.960007 | + | 0.279975i | \(0.0903263\pi\) | |||||||
\(374\) | 20.1224 | + | 7.32396i | 1.04050 | + | 0.378713i | ||||
\(375\) | −5.43013 | + | 5.55005i | −0.280410 | + | 0.286603i | ||||
\(376\) | 0.224748 | − | 0.0396291i | 0.0115905 | − | 0.00204372i | ||||
\(377\) | −1.02788 | − | 0.958514i | −0.0529385 | − | 0.0493660i | ||||
\(378\) | 1.45114 | − | 2.41510i | 0.0746385 | − | 0.124219i | ||||
\(379\) | −3.40535 | − | 2.47413i | −0.174921 | − | 0.127088i | 0.496880 | − | 0.867819i | \(-0.334479\pi\) |
−0.671801 | + | 0.740732i | \(0.734479\pi\) | |||||||
\(380\) | 4.04564 | − | 8.86751i | 0.207537 | − | 0.454894i | ||||
\(381\) | 8.59447 | − | 6.24425i | 0.440308 | − | 0.319903i | ||||
\(382\) | −1.69785 | − | 19.4065i | −0.0868694 | − | 0.992922i | ||||
\(383\) | 5.64202 | + | 29.0257i | 0.288294 | + | 1.48314i | 0.787314 | + | 0.616553i | \(0.211471\pi\) |
−0.499020 | + | 0.866591i | \(0.666306\pi\) | |||||||
\(384\) | 0.326043 | + | 0.613197i | 0.0166383 | + | 0.0312921i | ||||
\(385\) | 2.32344 | + | 3.64119i | 0.118414 | + | 0.185572i | ||||
\(386\) | 9.23102 | − | 11.8152i | 0.469846 | − | 0.601376i | ||||
\(387\) | 0.811089 | + | 15.4765i | 0.0412300 | + | 0.786715i | ||||
\(388\) | −5.02187 | + | 3.26124i | −0.254947 | + | 0.165564i | ||||
\(389\) | 2.61587 | − | 1.05688i | 0.132630 | − | 0.0535859i | −0.307332 | − | 0.951602i | \(-0.599436\pi\) |
0.439962 | + | 0.898016i | \(0.354992\pi\) | |||||||
\(390\) | −0.506951 | − | 0.241348i | −0.0256705 | − | 0.0122211i | ||||
\(391\) | 8.64772 | + | 1.83813i | 0.437334 | + | 0.0929582i | ||||
\(392\) | 2.31483 | + | 6.03035i | 0.116917 | + | 0.304579i | ||||
\(393\) | 4.71901 | − | 2.20051i | 0.238042 | − | 0.111001i | ||||
\(394\) | 7.52851 | + | 15.4357i | 0.379281 | + | 0.777641i | ||||
\(395\) | −3.40131 | − | 0.627822i | −0.171138 | − | 0.0315891i | ||||
\(396\) | 6.35811 | + | 1.82316i | 0.319507 | + | 0.0916172i | ||||
\(397\) | −16.1292 | − | 9.69140i | −0.809502 | − | 0.486398i | 0.0492520 | − | 0.998786i | \(-0.484316\pi\) |
−0.858754 | + | 0.512389i | \(0.828761\pi\) | |||||||
\(398\) | 4.60978 | + | 9.04720i | 0.231067 | + | 0.453495i | ||||
\(399\) | −0.383988 | − | 2.19244i | −0.0192234 | − | 0.109759i | ||||
\(400\) | 3.77834 | + | 3.27477i | 0.188917 | + | 0.163739i | ||||
\(401\) | −20.3756 | + | 24.2827i | −1.01751 | + | 1.21262i | −0.0405556 | + | 0.999177i | \(0.512913\pi\) |
−0.976955 | + | 0.213445i | \(0.931532\pi\) | |||||||
\(402\) | 4.96983 | − | 5.32949i | 0.247873 | − | 0.265811i | ||||
\(403\) | 3.33655 | − | 1.14887i | 0.166206 | − | 0.0572292i | ||||
\(404\) | 5.58940 | + | 5.78799i | 0.278083 | + | 0.287963i | ||||
\(405\) | −5.72212 | − | 9.32233i | −0.284334 | − | 0.463230i | ||||
\(406\) | 2.61106 | + | 1.16252i | 0.129585 | + | 0.0576948i | ||||
\(407\) | −10.9781 | + | 2.94158i | −0.544166 | + | 0.145809i | ||||
\(408\) | 4.85221 | − | 2.91550i | 0.240220 | − | 0.144339i | ||||
\(409\) | 19.2796 | + | 12.0472i | 0.953315 | + | 0.595697i | 0.914950 | − | 0.403567i | \(-0.132230\pi\) |
0.0383644 | + | 0.999264i | \(0.487785\pi\) | |||||||
\(410\) | −0.825034 | + | 0.486795i | −0.0407455 | + | 0.0240411i | ||||
\(411\) | −1.35685 | − | 6.38348i | −0.0669285 | − | 0.314874i | ||||
\(412\) | 3.01630 | − | 2.81275i | 0.148603 | − | 0.138574i | ||||
\(413\) | −0.767552 | + | 1.01858i | −0.0377688 | + | 0.0501209i | ||||
\(414\) | 2.70422 | + | 0.380054i | 0.132905 | + | 0.0186786i | ||||
\(415\) | −0.893362 | − | 1.78853i | −0.0438534 | − | 0.0877954i | ||||
\(416\) | −0.135441 | + | 0.335229i | −0.00664056 | + | 0.0164360i | ||||
\(417\) | 7.97307 | + | 1.26281i | 0.390443 | + | 0.0618400i | ||||
\(418\) | 10.3841 | − | 4.82767i | 0.507904 | − | 0.236129i | ||||
\(419\) | −4.71175 | − | 6.48516i | −0.230184 | − | 0.316821i | 0.678265 | − | 0.734818i | \(-0.262732\pi\) |
−0.908448 | + | 0.417997i | \(0.862732\pi\) | |||||||
\(420\) | 1.13457 | + | 0.128428i | 0.0553615 | + | 0.00626663i | ||||
\(421\) | 8.32346 | − | 29.0274i | 0.405661 | − | 1.41471i | −0.448073 | − | 0.893997i | \(-0.647890\pi\) |
0.853734 | − | 0.520710i | \(-0.174333\pi\) | |||||||
\(422\) | −2.68478 | − | 7.79715i | −0.130693 | − | 0.379559i | ||||
\(423\) | −0.167989 | − | 0.549467i | −0.00816791 | − | 0.0267160i | ||||
\(424\) | 1.18671 | − | 3.26047i | 0.0576319 | − | 0.158342i | ||||
\(425\) | 25.0442 | − | 32.1519i | 1.21482 | − | 1.55960i | ||||
\(426\) | 6.92365 | + | 3.99737i | 0.335452 | + | 0.193673i | ||||
\(427\) | −6.65805 | − | 2.82617i | −0.322206 | − | 0.136768i | ||||
\(428\) | 10.1328 | − | 11.6565i | 0.489788 | − | 0.563436i | ||||
\(429\) | −0.268312 | − | 0.602638i | −0.0129542 | − | 0.0290956i | ||||
\(430\) | −12.2044 | + | 6.36455i | −0.588547 | + | 0.306926i | ||||
\(431\) | −1.53086 | − | 5.33876i | −0.0737391 | − | 0.257159i | 0.915754 | − | 0.401740i | \(-0.131594\pi\) |
−0.989493 | + | 0.144581i | \(0.953817\pi\) | |||||||
\(432\) | 3.13897 | − | 2.19793i | 0.151024 | − | 0.105748i | ||||
\(433\) | −27.4400 | + | 0.478967i | −1.31868 | + | 0.0230177i | −0.672461 | − | 0.740132i | \(-0.734763\pi\) |
−0.646222 | + | 0.763150i | \(0.723652\pi\) | |||||||
\(434\) | −5.65498 | + | 4.41816i | −0.271448 | + | 0.212078i | ||||
\(435\) | −4.72150 | + | 3.76130i | −0.226379 | + | 0.180340i | ||||
\(436\) | −11.3509 | − | 3.68814i | −0.543611 | − | 0.176630i | ||||
\(437\) | 3.96808 | − | 2.57042i | 0.189819 | − | 0.122960i | ||||
\(438\) | 4.88602 | − | 9.58935i | 0.233463 | − | 0.458197i | ||||
\(439\) | −11.7209 | + | 7.32404i | −0.559409 | + | 0.349558i | −0.779971 | − | 0.625815i | \(-0.784766\pi\) |
0.220562 | + | 0.975373i | \(0.429211\pi\) | |||||||
\(440\) | 0.872554 | + | 5.80932i | 0.0415974 | + | 0.276949i | ||||
\(441\) | 14.3591 | − | 7.63487i | 0.683766 | − | 0.363565i | ||||
\(442\) | 2.78648 | + | 0.959461i | 0.132539 | + | 0.0456369i | ||||
\(443\) | −1.67396 | − | 3.58983i | −0.0795324 | − | 0.170558i | 0.862520 | − | 0.506022i | \(-0.168885\pi\) |
−0.942053 | + | 0.335464i | \(0.891107\pi\) | |||||||
\(444\) | −1.22202 | + | 2.74470i | −0.0579945 | + | 0.130258i | ||||
\(445\) | −1.98952 | + | 3.12797i | −0.0943122 | + | 0.148280i | ||||
\(446\) | 16.5805 | − | 1.15942i | 0.785111 | − | 0.0549003i | ||||
\(447\) | −3.36769 | − | 2.92749i | −0.159286 | − | 0.138465i | ||||
\(448\) | 0.0384811 | − | 0.734263i | 0.00181806 | − | 0.0346907i | ||||
\(449\) | 10.9469 | + | 18.9606i | 0.516618 | + | 0.894808i | 0.999814 | + | 0.0192958i | \(0.00614243\pi\) |
−0.483196 | + | 0.875512i | \(0.660524\pi\) | |||||||
\(450\) | 7.02408 | − | 10.4466i | 0.331118 | − | 0.492456i | ||||
\(451\) | −1.10838 | − | 0.195438i | −0.0521917 | − | 0.00920281i | ||||
\(452\) | 4.67173 | + | 6.19960i | 0.219740 | + | 0.291605i | ||||
\(453\) | 2.25503 | + | 4.06817i | 0.105950 | + | 0.191140i | ||||
\(454\) | 2.49152 | − | 0.621205i | 0.116933 | − | 0.0291546i | ||||
\(455\) | 0.328456 | + | 0.495455i | 0.0153983 | + | 0.0232273i | ||||
\(456\) | 0.735724 | − | 2.93644i | 0.0344534 | − | 0.137511i | ||||
\(457\) | −21.9689 | + | 21.9689i | −1.02766 | + | 1.02766i | −0.0280568 | + | 0.999606i | \(0.508932\pi\) |
−0.999606 | + | 0.0280568i | \(0.991068\pi\) | |||||||
\(458\) | −9.58973 | + | 8.33623i | −0.448099 | + | 0.389526i | ||||
\(459\) | −19.2297 | − | 24.6129i | −0.897567 | − | 1.14883i | ||||
\(460\) | 0.690535 | + | 2.32496i | 0.0321964 | + | 0.108402i | ||||
\(461\) | 4.77279 | + | 2.53774i | 0.222291 | + | 0.118194i | 0.576883 | − | 0.816827i | \(-0.304269\pi\) |
−0.354592 | + | 0.935021i | \(0.615380\pi\) | |||||||
\(462\) | 0.914914 | + | 0.981126i | 0.0425657 | + | 0.0456461i | ||||
\(463\) | 10.5578 | − | 0.553309i | 0.490661 | − | 0.0257144i | 0.194598 | − | 0.980883i | \(-0.437660\pi\) |
0.296062 | + | 0.955169i | \(0.404326\pi\) | |||||||
\(464\) | 2.60106 | + | 2.88877i | 0.120751 | + | 0.134108i | ||||
\(465\) | −2.77297 | − | 14.9008i | −0.128594 | − | 0.691007i | ||||
\(466\) | 7.38428 | − | 11.8173i | 0.342070 | − | 0.547427i | ||||
\(467\) | 4.63981 | + | 3.75725i | 0.214705 | + | 0.173865i | 0.730640 | − | 0.682763i | \(-0.239222\pi\) |
−0.515935 | + | 0.856628i | \(0.672555\pi\) | |||||||
\(468\) | 0.879269 | + | 0.235599i | 0.0406442 | + | 0.0108906i | ||||
\(469\) | −7.41622 | + | 2.12657i | −0.342449 | + | 0.0981957i | ||||
\(470\) | 0.381948 | − | 0.338417i | 0.0176179 | − | 0.0156100i | ||||
\(471\) | −6.78721 | − | 3.31034i | −0.312738 | − | 0.152533i | ||||
\(472\) | −1.51711 | + | 0.840947i | −0.0698306 | + | 0.0387077i | ||||
\(473\) | −15.7571 | − | 3.63781i | −0.724511 | − | 0.167267i | ||||
\(474\) | −1.07424 | −0.0493414 | ||||||||
\(475\) | −2.66286 | − | 21.6312i | −0.122180 | − | 0.992508i | ||||
\(476\) | −5.99317 | −0.274696 | ||||||||
\(477\) | −8.51176 | − | 1.96509i | −0.389727 | − | 0.0899755i | ||||
\(478\) | −1.99571 | + | 1.10624i | −0.0912815 | + | 0.0505982i | ||||
\(479\) | 17.0402 | + | 8.31104i | 0.778585 | + | 0.379741i | 0.784411 | − | 0.620242i | \(-0.212966\pi\) |
−0.00582580 | + | 0.999983i | \(0.501854\pi\) | |||||||
\(480\) | 1.33862 | + | 0.787189i | 0.0610994 | + | 0.0359301i | ||||
\(481\) | −1.50355 | + | 0.431136i | −0.0685559 | + | 0.0196581i | ||||
\(482\) | −15.0796 | − | 4.04058i | −0.686859 | − | 0.184043i | ||||
\(483\) | 0.430430 | + | 0.348556i | 0.0195853 | + | 0.0158598i | ||||
\(484\) | 2.17165 | − | 3.47537i | 0.0987116 | − | 0.157972i | ||||
\(485\) | −5.75541 | + | 12.0892i | −0.261340 | + | 0.548944i | ||||
\(486\) | −9.96550 | − | 11.0678i | −0.452044 | − | 0.502046i | ||||
\(487\) | −10.7176 | + | 0.561686i | −0.485661 | + | 0.0254524i | −0.293596 | − | 0.955930i | \(-0.594852\pi\) |
−0.192065 | + | 0.981382i | \(0.561519\pi\) | |||||||
\(488\) | −6.70899 | − | 7.19451i | −0.303702 | − | 0.325680i | ||||
\(489\) | 7.83963 | + | 4.16841i | 0.354520 | + | 0.188502i | ||||
\(490\) | 11.4653 | + | 8.78433i | 0.517950 | + | 0.396835i | ||||
\(491\) | 22.4463 | + | 28.7299i | 1.01299 | + | 1.29656i | 0.954479 | + | 0.298278i | \(0.0964121\pi\) |
0.0585080 | + | 0.998287i | \(0.481366\pi\) | |||||||
\(492\) | −0.224543 | + | 0.195192i | −0.0101232 | + | 0.00879993i | ||||
\(493\) | 22.4044 | − | 22.4044i | 1.00904 | − | 1.00904i | ||||
\(494\) | 1.41728 | − | 0.689239i | 0.0637666 | − | 0.0310103i | ||||
\(495\) | 14.2493 | − | 3.96291i | 0.640459 | − | 0.178120i | ||||
\(496\) | −9.47013 | + | 2.36117i | −0.425221 | + | 0.106020i | ||||
\(497\) | −4.10354 | − | 7.40297i | −0.184069 | − | 0.332069i | ||||
\(498\) | −0.373686 | − | 0.495897i | −0.0167452 | − | 0.0222217i | ||||
\(499\) | 41.3384 | + | 7.28908i | 1.85056 | + | 0.326304i | 0.984738 | − | 0.174046i | \(-0.0556841\pi\) |
0.865823 | + | 0.500350i | \(0.166795\pi\) | |||||||
\(500\) | 11.0310 | + | 1.82108i | 0.493323 | + | 0.0814414i | ||||
\(501\) | 1.26439 | + | 2.18999i | 0.0564888 | + | 0.0978415i | ||||
\(502\) | 1.62062 | − | 30.9232i | 0.0723317 | − | 1.38017i | ||||
\(503\) | −19.7752 | − | 17.1903i | −0.881734 | − | 0.766480i | 0.0916185 | − | 0.995794i | \(-0.470796\pi\) |
−0.973352 | + | 0.229315i | \(0.926352\pi\) | |||||||
\(504\) | −1.84667 | + | 0.129132i | −0.0822573 | + | 0.00575199i | ||||
\(505\) | 17.4222 | + | 4.49209i | 0.775277 | + | 0.199895i | ||||
\(506\) | −1.15901 | + | 2.60317i | −0.0515241 | + | 0.115725i | ||||
\(507\) | 3.77718 | + | 8.10018i | 0.167750 | + | 0.359742i | ||||
\(508\) | −14.4633 | − | 4.98010i | −0.641704 | − | 0.220956i | ||||
\(509\) | 2.26893 | − | 1.20641i | 0.100569 | − | 0.0534733i | −0.418425 | − | 0.908251i | \(-0.637418\pi\) |
0.518994 | + | 0.854778i | \(0.326307\pi\) | |||||||
\(510\) | 5.83652 | − | 11.2319i | 0.258446 | − | 0.497357i | ||||
\(511\) | −9.66298 | + | 6.03810i | −0.427465 | + | 0.267110i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | −16.5763 | − | 2.05467i | −0.731862 | − | 0.0907157i | ||||
\(514\) | −22.9897 | − | 7.46981i | −1.01403 | − | 0.329479i | ||||
\(515\) | 2.45801 | − | 8.88855i | 0.108313 | − | 0.391676i | ||||
\(516\) | −3.36872 | + | 2.63193i | −0.148299 | + | 0.115864i | ||||
\(517\) | 0.599463 | − | 0.0104637i | 0.0263644 | − | 0.000460192i | ||||
\(518\) | 2.60562 | − | 1.82448i | 0.114484 | − | 0.0801629i | ||||
\(519\) | −0.971095 | − | 3.38661i | −0.0426263 | − | 0.148656i | ||||
\(520\) | 0.134018 | + | 0.797280i | 0.00587710 | + | 0.0349630i | ||||
\(521\) | −14.9360 | − | 33.5469i | −0.654360 | − | 1.46972i | −0.869903 | − | 0.493223i | \(-0.835819\pi\) |
0.215543 | − | 0.976494i | \(-0.430848\pi\) | |||||||
\(522\) | 6.42071 | − | 7.38618i | 0.281027 | − | 0.323285i | ||||
\(523\) | 31.8147 | + | 13.5045i | 1.39116 | + | 0.590512i | 0.951499 | − | 0.307653i | \(-0.0995436\pi\) |
0.439659 | + | 0.898165i | \(0.355099\pi\) | |||||||
\(524\) | −6.49293 | − | 3.74869i | −0.283645 | − | 0.163762i | ||||
\(525\) | 2.31239 | − | 1.08241i | 0.100921 | − | 0.0472401i | ||||
\(526\) | −6.82467 | + | 18.7506i | −0.297570 | + | 0.817566i | ||||
\(527\) | 23.2593 | + | 76.0777i | 1.01319 | + | 3.31400i | ||||
\(528\) | 0.594007 | + | 1.72512i | 0.0258508 | + | 0.0750763i | ||||
\(529\) | 6.01538 | − | 20.9781i | 0.261538 | − | 0.912093i | ||||
\(530\) | −1.55236 | − | 7.60163i | −0.0674303 | − | 0.330194i | ||||
\(531\) | 2.56695 | + | 3.53311i | 0.111396 | + | 0.153324i | ||||
\(532\) | −2.26886 | + | 2.26365i | −0.0983676 | + | 0.0981416i | ||||
\(533\) | −0.152985 | − | 0.0242305i | −0.00662653 | − | 0.00104954i | ||||
\(534\) | −0.431306 | + | 1.06752i | −0.0186645 | + | 0.0461962i | ||||
\(535\) | 5.67516 | − | 34.0665i | 0.245359 | − | 1.47282i | ||||
\(536\) | −10.3907 | − | 1.46032i | −0.448811 | − | 0.0630763i | ||||
\(537\) | 4.55714 | − | 6.04752i | 0.196655 | − | 0.260970i | ||||
\(538\) | 20.4345 | − | 19.0555i | 0.880996 | − | 0.821542i | ||||
\(539\) | 3.52821 | + | 16.5989i | 0.151971 | + | 0.714966i | ||||
\(540\) | 3.41095 | − | 7.86037i | 0.146784 | − | 0.338256i | ||||
\(541\) | 9.10801 | + | 5.69132i | 0.391584 | + | 0.244689i | 0.711395 | − | 0.702793i | \(-0.248064\pi\) |
−0.319811 | + | 0.947481i | \(0.603619\pi\) | |||||||
\(542\) | −0.999875 | + | 0.600786i | −0.0429483 | + | 0.0258060i | ||||
\(543\) | −1.51326 | + | 0.405478i | −0.0649403 | + | 0.0174007i | ||||
\(544\) | −7.44628 | − | 3.31530i | −0.319257 | − | 0.142142i | ||||
\(545\) | −25.9457 | + | 6.24909i | −1.11139 | + | 0.267682i | ||||
\(546\) | 0.128251 | + | 0.132808i | 0.00548862 | + | 0.00568364i | ||||
\(547\) | 29.8605 | − | 10.2818i | 1.27674 | − | 0.439618i | 0.398208 | − | 0.917295i | \(-0.369632\pi\) |
0.878535 | + | 0.477677i | \(0.158521\pi\) | |||||||
\(548\) | −6.40873 | + | 6.87252i | −0.273767 | + | 0.293579i | ||||
\(549\) | −15.9200 | + | 18.9727i | −0.679449 | + | 0.809735i | ||||
\(550\) | 8.45821 | + | 10.0502i | 0.360659 | + | 0.428542i | ||||
\(551\) | 0.0194835 | − | 16.9440i | 0.000830024 | − | 0.721838i | ||||
\(552\) | 0.341979 | + | 0.671172i | 0.0145556 | + | 0.0285670i | ||||
\(553\) | 0.974875 | + | 0.585764i | 0.0414559 | + | 0.0249092i | ||||
\(554\) | 0.805809 | + | 0.231062i | 0.0342355 | + | 0.00981688i | ||||
\(555\) | 0.881767 | + | 6.66003i | 0.0374289 | + | 0.282703i | ||||
\(556\) | −5.09545 | − | 10.4472i | −0.216095 | − | 0.443061i | ||||
\(557\) | 23.0849 | − | 10.7647i | 0.978137 | − | 0.456113i | 0.133265 | − | 0.991080i | \(-0.457454\pi\) |
0.844873 | + | 0.534968i | \(0.179676\pi\) | |||||||
\(558\) | 8.80608 | + | 22.9406i | 0.372791 | + | 0.971154i | ||||
\(559\) | −2.17695 | − | 0.462724i | −0.0920750 | − | 0.0195711i | ||||
\(560\) | −0.785561 | − | 1.44430i | −0.0331960 | − | 0.0610329i | ||||
\(561\) | 13.7888 | − | 5.57102i | 0.582162 | − | 0.235209i | ||||
\(562\) | 21.7930 | − | 14.1526i | 0.919284 | − | 0.596990i | ||||
\(563\) | −1.56035 | − | 29.7733i | −0.0657609 | − | 1.25479i | −0.809819 | − | 0.586679i | \(-0.800435\pi\) |
0.744059 | − | 0.668114i | \(-0.232898\pi\) | |||||||
\(564\) | 0.0975778 | − | 0.124894i | 0.00410877 | − | 0.00525898i | ||||
\(565\) | 16.1548 | + | 6.34992i | 0.679640 | + | 0.267143i | ||||
\(566\) | −7.73661 | − | 14.5505i | −0.325194 | − | 0.611601i | ||||
\(567\) | 0.686301 | + | 3.53071i | 0.0288219 | + | 0.148276i | ||||
\(568\) | −1.00331 | − | 11.4679i | −0.0420980 | − | 0.481182i | ||||
\(569\) | 18.0773 | − | 13.1339i | 0.757841 | − | 0.550604i | −0.140406 | − | 0.990094i | \(-0.544841\pi\) |
0.898247 | + | 0.439490i | \(0.144841\pi\) | |||||||
\(570\) | −2.03279 | − | 6.45660i | −0.0851441 | − | 0.270437i | ||||
\(571\) | −20.1958 | − | 14.6731i | −0.845170 | − | 0.614052i | 0.0786403 | − | 0.996903i | \(-0.474942\pi\) |
−0.923810 | + | 0.382851i | \(0.874942\pi\) | |||||||
\(572\) | −0.489216 | + | 0.814192i | −0.0204551 | + | 0.0340431i | ||||
\(573\) | −9.89453 | − | 9.22680i | −0.413350 | − | 0.385455i | ||||
\(574\) | 0.310208 | − | 0.0546980i | 0.0129478 | − | 0.00228305i | ||||
\(575\) | 4.03555 | + | 3.62295i | 0.168294 | + | 0.151087i | ||||
\(576\) | −2.36585 | − | 0.861099i | −0.0985771 | − | 0.0358791i | ||||
\(577\) | 11.3960 | − | 17.5483i | 0.474422 | − | 0.730546i | −0.517735 | − | 0.855541i | \(-0.673225\pi\) |
0.992157 | + | 0.124995i | \(0.0398915\pi\) | |||||||
\(578\) | −17.7171 | + | 46.1546i | −0.736935 | + | 1.91978i | ||||
\(579\) | −0.726369 | − | 10.3876i | −0.0301869 | − | 0.431692i | ||||
\(580\) | 8.33594 | + | 2.46259i | 0.346131 | + | 0.102253i | ||||
\(581\) | 0.0687163 | + | 0.653792i | 0.00285083 | + | 0.0271239i | ||||
\(582\) | −1.07630 | + | 4.01682i | −0.0446143 | + | 0.166503i | ||||
\(583\) | 4.41926 | − | 7.97256i | 0.183027 | − | 0.330190i | ||||
\(584\) | −15.3460 | + | 2.15674i | −0.635023 | + | 0.0892467i | ||||
\(585\) | 1.95122 | − | 0.579530i | 0.0806729 | − | 0.0239606i | ||||
\(586\) | −0.325972 | − | 9.33461i | −0.0134658 | − | 0.385609i | ||||
\(587\) | −2.85456 | − | 6.72491i | −0.117820 | − | 0.277567i | 0.851073 | − | 0.525048i | \(-0.175953\pi\) |
−0.968893 | + | 0.247481i | \(0.920397\pi\) | |||||||
\(588\) | 3.99702 | + | 2.03658i | 0.164834 | + | 0.0839873i | ||||
\(589\) | 37.5403 | + | 20.0159i | 1.54682 | + | 0.824742i | ||||
\(590\) | −1.90748 | + | 3.37722i | −0.0785296 | + | 0.139038i | ||||
\(591\) | 11.0585 | + | 4.46794i | 0.454888 | + | 0.183787i | ||||
\(592\) | 4.24665 | − | 0.825465i | 0.174536 | − | 0.0339264i | ||||
\(593\) | 2.96473 | − | 4.23407i | 0.121747 | − | 0.173873i | −0.753652 | − | 0.657273i | \(-0.771710\pi\) |
0.875399 | + | 0.483401i | \(0.160599\pi\) | |||||||
\(594\) | 9.04830 | − | 4.41315i | 0.371256 | − | 0.181074i | ||||
\(595\) | −11.4212 | + | 7.01043i | −0.468224 | + | 0.287400i | ||||
\(596\) | −0.671617 | + | 6.39001i | −0.0275105 | + | 0.261745i | ||||
\(597\) | 6.58340 | + | 2.52713i | 0.269441 | + | 0.103429i | ||||
\(598\) | −0.153229 | + | 0.360986i | −0.00626602 | + | 0.0147618i | ||||
\(599\) | 26.1365 | − | 21.9311i | 1.06791 | − | 0.896082i | 0.0730477 | − | 0.997328i | \(-0.476727\pi\) |
0.994861 | + | 0.101246i | \(0.0322830\pi\) | |||||||
\(600\) | 3.47182 | − | 0.0656821i | 0.141737 | − | 0.00268146i | ||||
\(601\) | −25.6518 | + | 14.8101i | −1.04636 | + | 0.604115i | −0.921628 | − | 0.388075i | \(-0.873140\pi\) |
−0.124731 | + | 0.992191i | \(0.539807\pi\) | |||||||
\(602\) | 4.49226 | − | 0.551580i | 0.183091 | − | 0.0224807i | ||||
\(603\) | −0.461052 | + | 26.4137i | −0.0187755 | + | 1.07565i | ||||
\(604\) | 2.93601 | − | 6.01971i | 0.119464 | − | 0.244938i | ||||
\(605\) | 0.0732632 | − | 9.16330i | 0.00297857 | − | 0.372541i | ||||
\(606\) | 5.57442 | + | 0.389801i | 0.226445 | + | 0.0158346i | ||||
\(607\) | 21.8534 | + | 21.8534i | 0.887001 | + | 0.887001i | 0.994234 | − | 0.107233i | \(-0.0341990\pi\) |
−0.107233 | + | 0.994234i | \(0.534199\pi\) | |||||||
\(608\) | −4.07118 | + | 1.55741i | −0.165108 | + | 0.0631613i | ||||
\(609\) | 1.88781 | − | 0.613385i | 0.0764978 | − | 0.0248556i | ||||
\(610\) | −21.2010 | − | 5.86287i | −0.858405 | − | 0.237381i | ||||
\(611\) | 0.0824623 | − | 0.00287965i | 0.00333607 | − | 0.000116498i | ||||
\(612\) | −5.99993 | + | 19.6249i | −0.242533 | + | 0.793289i | ||||
\(613\) | 14.3029 | + | 10.7780i | 0.577688 | + | 0.435319i | 0.849919 | − | 0.526913i | \(-0.176651\pi\) |
−0.272232 | + | 0.962232i | \(0.587762\pi\) | |||||||
\(614\) | 17.1895 | + | 13.4299i | 0.693712 | + | 0.541987i | ||||
\(615\) | −0.199589 | + | 0.634634i | −0.00804821 | + | 0.0255909i | ||||
\(616\) | 0.401616 | − | 1.88945i | 0.0161816 | − | 0.0761283i | ||||
\(617\) | 0.926953 | + | 1.54271i | 0.0373177 | + | 0.0621071i | 0.875263 | − | 0.483646i | \(-0.160688\pi\) |
−0.837946 | + | 0.545754i | \(0.816243\pi\) | |||||||
\(618\) | 0.249637 | − | 2.85336i | 0.0100419 | − | 0.114779i | ||||
\(619\) | −20.1309 | + | 2.11584i | −0.809130 | + | 0.0850430i | −0.500054 | − | 0.865994i | \(-0.666686\pi\) |
−0.309076 | + | 0.951037i | \(0.600020\pi\) | |||||||
\(620\) | −15.2853 | + | 15.5773i | −0.613874 | + | 0.625598i | ||||
\(621\) | 3.44575 | − | 2.32419i | 0.138273 | − | 0.0932665i | ||||
\(622\) | −0.979736 | − | 0.0171014i | −0.0392838 | − | 0.000685702i | ||||
\(623\) | 0.973512 | − | 0.733594i | 0.0390029 | − | 0.0293908i | ||||
\(624\) | 0.0858802 | + | 0.235954i | 0.00343796 | + | 0.00944571i | ||||
\(625\) | 23.1521 | − | 9.43295i | 0.926084 | − | 0.377318i | ||||
\(626\) | − | 5.96258i | − | 0.238313i | ||||||
\(627\) | 3.11587 | − | 7.31712i | 0.124436 | − | 0.292218i | ||||
\(628\) | 1.70098 | + | 10.7396i | 0.0678764 | + | 0.428555i | ||||
\(629\) | −8.53069 | − | 34.2147i | −0.340141 | − | 1.36423i | ||||
\(630\) | −3.36816 | + | 2.40621i | −0.134191 | + | 0.0958656i | ||||
\(631\) | −32.9176 | − | 31.7881i | −1.31043 | − | 1.26547i | −0.941918 | − | 0.335842i | \(-0.890979\pi\) |
−0.368510 | − | 0.929624i | \(-0.620132\pi\) | |||||||
\(632\) | 0.887212 | + | 1.26707i | 0.0352914 | + | 0.0504013i | ||||
\(633\) | −5.00899 | − | 2.77653i | −0.199090 | − | 0.110357i | ||||
\(634\) | 26.0659 | + | 23.4698i | 1.03521 | + | 0.932105i | ||||
\(635\) | −33.3882 | + | 7.42761i | −1.32497 | + | 0.294756i | ||||
\(636\) | −0.902681 | − | 2.23421i | −0.0357936 | − | 0.0885923i | ||||
\(637\) | 0.525357 | + | 2.27557i | 0.0208154 | + | 0.0901615i | ||||
\(638\) | 5.56202 | + | 8.56476i | 0.220202 | + | 0.339082i | ||||
\(639\) | −28.3495 | + | 6.02588i | −1.12149 | + | 0.238380i | ||||
\(640\) | −0.177071 | − | 2.22905i | −0.00699933 | − | 0.0881108i | ||||
\(641\) | −0.860572 | − | 6.12329i | −0.0339906 | − | 0.241855i | 0.965861 | − | 0.259059i | \(-0.0834125\pi\) |
−0.999852 | + | 0.0172038i | \(0.994524\pi\) | |||||||
\(642\) | −0.187201 | − | 10.7247i | −0.00738822 | − | 0.423271i | ||||
\(643\) | −5.64779 | − | 2.63361i | −0.222727 | − | 0.103859i | 0.308052 | − | 0.951369i | \(-0.400323\pi\) |
−0.530779 | + | 0.847510i | \(0.678101\pi\) | |||||||
\(644\) | 0.0556314 | − | 0.795566i | 0.00219218 | − | 0.0313497i | ||||
\(645\) | −3.34112 | + | 8.95619i | −0.131556 | + | 0.352650i | ||||
\(646\) | 14.4137 | + | 32.4742i | 0.567100 | + | 1.27768i | ||||
\(647\) | −30.0380 | + | 4.75756i | −1.18092 | + | 0.187039i | −0.715861 | − | 0.698243i | \(-0.753966\pi\) |
−0.465056 | + | 0.885282i | \(0.653966\pi\) | |||||||
\(648\) | −1.10042 | + | 4.76642i | −0.0432284 | + | 0.187243i | ||||
\(649\) | −4.28221 | + | 1.55860i | −0.168092 | + | 0.0611803i | ||||
\(650\) | 1.18801 | + | 1.36261i | 0.0465975 | + | 0.0534461i | ||||
\(651\) | −0.865435 | + | 4.90813i | −0.0339191 | + | 0.192365i | ||||
\(652\) | −1.55808 | − | 12.6896i | −0.0610192 | − | 0.496961i | ||||
\(653\) | −6.52998 | + | 5.28787i | −0.255538 | + | 0.206930i | −0.748526 | − | 0.663106i | \(-0.769238\pi\) |
0.492988 | + | 0.870036i | \(0.335905\pi\) | |||||||
\(654\) | −7.57218 | + | 3.37135i | −0.296095 | + | 0.131830i | ||||
\(655\) | −16.7586 | + | 0.451107i | −0.654813 | + | 0.0176262i | ||||
\(656\) | 0.415679 | + | 0.103640i | 0.0162295 | + | 0.00404648i | ||||
\(657\) | 10.0981 | + | 37.6867i | 0.393966 | + | 1.47030i | ||||
\(658\) | −0.156655 | + | 0.0601341i | −0.00610703 | + | 0.00234427i | ||||
\(659\) | 0.697042 | − | 19.9607i | 0.0271529 | − | 0.777557i | −0.907094 | − | 0.420929i | \(-0.861704\pi\) |
0.934246 | − | 0.356628i | \(-0.116074\pi\) | |||||||
\(660\) | 3.14994 | + | 2.59274i | 0.122611 | + | 0.100922i | ||||
\(661\) | −4.96362 | + | 35.3180i | −0.193062 | + | 1.37371i | 0.616813 | + | 0.787109i | \(0.288423\pi\) |
−0.809876 | + | 0.586601i | \(0.800466\pi\) | |||||||
\(662\) | 19.0975 | + | 2.34488i | 0.742245 | + | 0.0911363i | ||||
\(663\) | 1.88398 | − | 0.799703i | 0.0731678 | − | 0.0310579i | ||||
\(664\) | −0.276287 | + | 0.850324i | −0.0107220 | + | 0.0329990i | ||||
\(665\) | −1.67591 | + | 6.96782i | −0.0649890 | + | 0.270200i | ||||
\(666\) | −3.36576 | − | 10.3588i | −0.130421 | − | 0.401394i | ||||
\(667\) | 2.76611 | + | 3.18205i | 0.107104 | + | 0.123209i | ||||
\(668\) | 1.53884 | − | 3.30006i | 0.0595396 | − | 0.127683i | ||||
\(669\) | 8.01852 | − | 8.30342i | 0.310014 | − | 0.321029i | ||||
\(670\) | −21.5099 | + | 9.37148i | −0.830999 | + | 0.362052i | ||||
\(671\) | −14.4517 | − | 21.4256i | −0.557903 | − | 0.827126i | ||||
\(672\) | −0.321354 | − | 0.396840i | −0.0123965 | − | 0.0153084i | ||||
\(673\) | −25.3191 | − | 1.32692i | −0.975980 | − | 0.0511489i | −0.442328 | − | 0.896853i | \(-0.645847\pi\) |
−0.533652 | + | 0.845704i | \(0.679181\pi\) | |||||||
\(674\) | 15.2000 | + | 18.1146i | 0.585481 | + | 0.697749i | ||||
\(675\) | −2.69429 | − | 18.9695i | −0.103703 | − | 0.730135i | ||||
\(676\) | 6.43464 | − | 11.1451i | 0.247486 | − | 0.428658i | ||||
\(677\) | 31.1328 | + | 20.2179i | 1.19653 | + | 0.777036i | 0.979953 | − | 0.199229i | \(-0.0638438\pi\) |
0.216578 | + | 0.976265i | \(0.430510\pi\) | |||||||
\(678\) | 5.29208 | + | 1.02868i | 0.203241 | + | 0.0395061i | ||||
\(679\) | 3.16705 | − | 3.05839i | 0.121540 | − | 0.117370i | ||||
\(680\) | −18.0685 | + | 2.39220i | −0.692893 | + | 0.0917369i | ||||
\(681\) | 0.997210 | − | 1.47842i | 0.0382132 | − | 0.0566534i | ||||
\(682\) | −25.5435 | + | 2.23477i | −0.978112 | + | 0.0855737i | ||||
\(683\) | −0.518996 | + | 3.27681i | −0.0198588 | + | 0.125384i | −0.995626 | − | 0.0934271i | \(-0.970218\pi\) |
0.975767 | + | 0.218811i | \(0.0702178\pi\) | |||||||
\(684\) | 5.14099 | + | 9.69568i | 0.196571 | + | 0.370724i | ||||
\(685\) | −4.17411 | + | 20.5935i | −0.159485 | + | 0.786838i | ||||
\(686\) | −5.24423 | − | 8.39253i | −0.200226 | − | 0.320428i | ||||
\(687\) | −1.07544 | + | 8.75876i | −0.0410306 | + | 0.334167i | ||||
\(688\) | 5.88658 | + | 1.79971i | 0.224424 | + | 0.0686133i | ||||
\(689\) | 0.588951 | − | 1.10766i | 0.0224373 | − | 0.0421983i | ||||
\(690\) | 1.43681 | + | 0.879031i | 0.0546983 | + | 0.0334641i | ||||
\(691\) | 1.76214 | − | 1.95705i | 0.0670348 | − | 0.0744497i | −0.708695 | − | 0.705515i | \(-0.750716\pi\) |
0.775729 | + | 0.631066i | \(0.217382\pi\) | |||||||
\(692\) | −3.19250 | + | 3.94240i | −0.121361 | + | 0.149868i | ||||
\(693\) | −4.84482 | − | 0.423867i | −0.184040 | − | 0.0161014i | ||||
\(694\) | 8.10409 | − | 32.5037i | 0.307627 | − | 1.23383i | ||||
\(695\) | −21.9309 | − | 13.9490i | −0.831887 | − | 0.529115i | ||||
\(696\) | 2.68484 | + | 0.282188i | 0.101769 | + | 0.0106963i | ||||
\(697\) | 0.666288 | − | 3.42775i | 0.0252375 | − | 0.129835i | ||||
\(698\) | 12.0380 | − | 3.68039i | 0.455646 | − | 0.139305i | ||||
\(699\) | −1.68048 | − | 9.53048i | −0.0635616 | − | 0.360476i | ||||
\(700\) | −3.18650 | − | 1.83352i | −0.120438 | − | 0.0693004i | ||||
\(701\) | 37.4193 | + | 31.3985i | 1.41331 | + | 1.18590i | 0.954813 | + | 0.297206i | \(0.0960549\pi\) |
0.458493 | + | 0.888698i | \(0.348390\pi\) | |||||||
\(702\) | 1.23447 | − | 0.628992i | 0.0465919 | − | 0.0237398i | ||||
\(703\) | −16.1526 | − | 9.73074i | −0.609206 | − | 0.367002i | ||||
\(704\) | 1.54420 | − | 2.12541i | 0.0581992 | − | 0.0801044i | ||||
\(705\) | 0.0398617 | − | 0.352151i | 0.00150128 | − | 0.0132628i | ||||
\(706\) | −3.17979 | − | 2.14480i | −0.119673 | − | 0.0807206i | ||||
\(707\) | −4.84625 | − | 3.39338i | −0.182262 | − | 0.127621i | ||||
\(708\) | −0.392197 | + | 1.13902i | −0.0147397 | + | 0.0428071i | ||||
\(709\) | 32.8819 | + | 1.14826i | 1.23491 | + | 0.0431239i | 0.644895 | − | 0.764271i | \(-0.276901\pi\) |
0.590011 | + | 0.807395i | \(0.299123\pi\) | |||||||
\(710\) | −15.3264 | − | 20.6808i | −0.575191 | − | 0.776138i | ||||
\(711\) | 2.89408 | − | 2.60584i | 0.108537 | − | 0.0977268i | ||||
\(712\) | 1.61536 | − | 0.372935i | 0.0605382 | − | 0.0139763i | ||||
\(713\) | −10.3149 | + | 2.38138i | −0.386295 | + | 0.0891832i | ||||
\(714\) | −3.09311 | + | 2.78505i | −0.115757 | + | 0.104228i | ||||
\(715\) | 0.0200885 | + | 2.12386i | 0.000751267 | + | 0.0794280i | ||||
\(716\) | −10.8968 | − | 0.380525i | −0.407233 | − | 0.0142209i | ||||
\(717\) | −0.515922 | + | 1.49835i | −0.0192675 | + | 0.0559568i | ||||
\(718\) | 0.922130 | + | 0.645683i | 0.0344136 | + | 0.0240967i | ||||
\(719\) | 2.47336 | + | 1.66830i | 0.0922409 | + | 0.0622172i | 0.604447 | − | 0.796645i | \(-0.293394\pi\) |
−0.512206 | + | 0.858862i | \(0.671172\pi\) | |||||||
\(720\) | −5.51588 | + | 1.12642i | −0.205565 | + | 0.0419792i | ||||
\(721\) | −1.78243 | + | 2.45331i | −0.0663813 | + | 0.0913660i | ||||
\(722\) | 17.7223 | + | 6.84977i | 0.659557 | + | 0.254922i | ||||
\(723\) | −9.66036 | + | 4.92220i | −0.359273 | + | 0.183059i | ||||
\(724\) | 1.72806 | + | 1.45002i | 0.0642229 | + | 0.0538895i | ||||
\(725\) | 18.7664 | − | 5.05789i | 0.696968 | − | 0.187845i | ||||
\(726\) | −0.494215 | − | 2.80283i | −0.0183421 | − | 0.104023i | ||||
\(727\) | −48.0502 | + | 14.6904i | −1.78208 | + | 0.544838i | −0.997198 | − | 0.0748016i | \(-0.976168\pi\) |
−0.784886 | + | 0.619640i | \(0.787279\pi\) | |||||||
\(728\) | 0.0507250 | − | 0.260958i | 0.00187999 | − | 0.00967174i | ||||
\(729\) | 4.30850 | + | 0.452842i | 0.159574 | + | 0.0167719i | ||||
\(730\) | −26.7222 | + | 22.0609i | −0.989033 | + | 0.816512i | ||||
\(731\) | 12.1381 | − | 48.6834i | 0.448945 | − | 1.80062i | ||||
\(732\) | −6.80586 | − | 0.595436i | −0.251552 | − | 0.0220079i | ||||
\(733\) | −16.0642 | + | 19.8376i | −0.593345 | + | 0.732720i | −0.982045 | − | 0.188644i | \(-0.939591\pi\) |
0.388701 | + | 0.921364i | \(0.372924\pi\) | |||||||
\(734\) | −1.50508 | + | 1.67156i | −0.0555534 | + | 0.0616983i | ||||
\(735\) | 9.99942 | − | 0.794332i | 0.368834 | − | 0.0292994i | ||||
\(736\) | 0.509210 | − | 0.957685i | 0.0187697 | − | 0.0353008i | ||||
\(737\) | −26.3618 | − | 8.05960i | −0.971048 | − | 0.296879i | ||||
\(738\) | 0.131447 | − | 1.07055i | 0.00483862 | − | 0.0394074i | ||||
\(739\) | 20.8237 | + | 33.3249i | 0.766013 | + | 1.22588i | 0.969088 | + | 0.246714i | \(0.0793507\pi\) |
−0.203076 | + | 0.979163i | \(0.565094\pi\) | |||||||
\(740\) | 7.12729 | − | 6.54055i | 0.262004 | − | 0.240436i | ||||
\(741\) | 0.411176 | − | 1.01434i | 0.0151049 | − | 0.0372626i | ||||
\(742\) | −0.399092 | + | 2.51977i | −0.0146511 | + | 0.0925037i | ||||
\(743\) | 0.112548 | − | 0.00984664i | 0.00412897 | − | 0.000361238i | −0.0850911 | − | 0.996373i | \(-0.527118\pi\) |
0.0892200 | + | 0.996012i | \(0.471563\pi\) | |||||||
\(744\) | −3.79034 | + | 5.61942i | −0.138961 | + | 0.206018i | ||||
\(745\) | 6.19472 | + | 12.9631i | 0.226957 | + | 0.474931i | ||||
\(746\) | −8.00363 | + | 7.72901i | −0.293034 | + | 0.282979i | ||||
\(747\) | 2.20966 | + | 0.429515i | 0.0808474 | + | 0.0157151i | ||||
\(748\) | −17.9591 | − | 11.6628i | −0.656651 | − | 0.426434i | ||||
\(749\) | −5.67811 | + | 9.83478i | −0.207474 | + | 0.359355i | ||||
\(750\) | 6.53944 | − | 4.18629i | 0.238787 | − | 0.152862i | ||||
\(751\) | 32.4534 | + | 38.6764i | 1.18424 | + | 1.41132i | 0.890224 | + | 0.455523i | \(0.150548\pi\) |
0.294017 | + | 0.955800i | \(0.405008\pi\) | |||||||
\(752\) | −0.227902 | − | 0.0119438i | −0.00831074 | − | 0.000435547i | ||||
\(753\) | −13.5337 | − | 16.7128i | −0.493196 | − | 0.609047i | ||||
\(754\) | 0.785917 | + | 1.16517i | 0.0286214 | + | 0.0424330i | ||||
\(755\) | −1.44631 | − | 14.9062i | −0.0526364 | − | 0.542490i | ||||
\(756\) | −1.95722 | + | 2.02676i | −0.0711836 | + | 0.0737127i | ||||
\(757\) | −18.7252 | + | 40.1563i | −0.680579 | + | 1.45951i | 0.197161 | + | 0.980371i | \(0.436828\pi\) |
−0.877741 | + | 0.479136i | \(0.840950\pi\) | |||||||
\(758\) | 2.76151 | + | 3.17676i | 0.100303 | + | 0.115385i | ||||
\(759\) | 0.611533 | + | 1.88211i | 0.0221973 | + | 0.0683161i | ||||
\(760\) | −5.93671 | + | 7.73017i | −0.215347 | + | 0.280403i | ||||
\(761\) | 13.6592 | − | 42.0387i | 0.495146 | − | 1.52390i | −0.321583 | − | 0.946881i | \(-0.604215\pi\) |
0.816729 | − | 0.577021i | \(-0.195785\pi\) | |||||||
\(762\) | −9.77885 | + | 4.15087i | −0.354250 | + | 0.150370i | ||||
\(763\) | 8.71011 | + | 1.06947i | 0.315327 | + | 0.0387173i | ||||
\(764\) | −2.71118 | + | 19.2910i | −0.0980870 | + | 0.697925i | ||||
\(765\) | 11.5218 | + | 44.4176i | 0.416573 | + | 1.60592i | ||||
\(766\) | 1.03194 | − | 29.5509i | 0.0372856 | − | 1.06772i | ||||
\(767\) | −0.585498 | + | 0.224752i | −0.0211411 | + | 0.00811531i | ||||
\(768\) | −0.179747 | − | 0.670824i | −0.00648606 | − | 0.0242063i | ||||
\(769\) | −12.3571 | − | 3.08098i | −0.445610 | − | 0.111103i | 0.0126528 | − | 0.999920i | \(-0.495972\pi\) |
−0.458262 | + | 0.888817i | \(0.651528\pi\) | |||||||
\(770\) | −1.44480 | − | 4.07053i | −0.0520671 | − | 0.146692i | ||||
\(771\) | −15.3364 | + | 6.82819i | −0.552326 | + | 0.245911i | ||||
\(772\) | −11.6523 | + | 9.43581i | −0.419374 | + | 0.339602i | ||||
\(773\) | 1.97120 | + | 16.0542i | 0.0708993 | + | 0.577428i | 0.985077 | + | 0.172114i | \(0.0550599\pi\) |
−0.914178 | + | 0.405314i | \(0.867162\pi\) | |||||||
\(774\) | 2.69116 | − | 15.2623i | 0.0967316 | − | 0.548592i | ||||
\(775\) | −10.9081 | + | 47.5655i | −0.391830 | + | 1.70860i | ||||
\(776\) | 5.62678 | − | 2.04798i | 0.201990 | − | 0.0735182i | ||||
\(777\) | 0.496936 | − | 2.15246i | 0.0178275 | − | 0.0772192i | ||||
\(778\) | −2.78657 | + | 0.441349i | −0.0999034 | + | 0.0158231i | ||||
\(779\) | −1.04244 | − | 1.54932i | −0.0373493 | − | 0.0555102i | ||||
\(780\) | 0.439666 | + | 0.349202i | 0.0157426 | + | 0.0125034i | ||||
\(781\) | 2.10964 | − | 30.1693i | 0.0754890 | − | 1.07954i | ||||
\(782\) | −8.01259 | − | 3.73633i | −0.286530 | − | 0.133611i | ||||
\(783\) | −0.259966 | − | 14.8934i | −0.00929042 | − | 0.532248i | ||||
\(784\) | −0.898972 | − | 6.39651i | −0.0321061 | − | 0.228447i | ||||
\(785\) | 15.8040 | + | 18.4767i | 0.564069 | + | 0.659463i | ||||
\(786\) | −5.09307 | + | 1.08256i | −0.181664 | + | 0.0386138i | ||||
\(787\) | 12.3449 | + | 19.0095i | 0.440048 | + | 0.677614i | 0.987212 | − | 0.159411i | \(-0.0509596\pi\) |
−0.547165 | + | 0.837025i | \(0.684293\pi\) | |||||||
\(788\) | −3.86327 | − | 16.7337i | −0.137623 | − | 0.596112i | ||||
\(789\) | 5.19123 | + | 12.8487i | 0.184813 | + | 0.457427i | ||||
\(790\) | 3.17290 | + | 1.37686i | 0.112887 | + | 0.0489864i | ||||
\(791\) | −4.24166 | − | 3.81921i | −0.150816 | − | 0.135795i | ||||
\(792\) | −5.78503 | − | 3.20669i | −0.205562 | − | 0.113945i | ||||
\(793\) | −2.04005 | − | 2.91350i | −0.0724444 | − | 0.103461i | ||||
\(794\) | 13.5357 | + | 13.0713i | 0.480365 | + | 0.463883i | ||||
\(795\) | −4.33369 | − | 3.20186i | −0.153700 | − | 0.113558i | ||||
\(796\) | −2.45645 | − | 9.85230i | −0.0870667 | − | 0.349205i | ||||
\(797\) | −4.03138 | − | 25.4531i | −0.142799 | − | 0.901595i | −0.950211 | − | 0.311608i | \(-0.899133\pi\) |
0.807412 | − | 0.589988i | \(-0.200867\pi\) | |||||||
\(798\) | −0.119046 | + | 2.22263i | −0.00421418 | + | 0.0786802i | ||||
\(799\) | 1.86017i | 0.0658082i | ||||||||
\(800\) | −2.94484 | − | 4.04078i | −0.104116 | − | 0.142863i | ||||
\(801\) | −1.42757 | − | 3.92223i | −0.0504409 | − | 0.138585i | ||||
\(802\) | 25.3158 | − | 19.0769i | 0.893933 | − | 0.673627i | ||||
\(803\) | −40.7063 | − | 0.710532i | −1.43650 | − | 0.0250741i | ||||
\(804\) | −6.04133 | + | 4.07493i | −0.213061 | + | 0.143712i | ||||
\(805\) | −0.824585 | − | 1.58119i | −0.0290628 | − | 0.0557296i | ||||
\(806\) | −3.50948 | + | 0.368861i | −0.123616 | + | 0.0129926i | ||||
\(807\) | 1.69121 | − | 19.3307i | 0.0595335 | − | 0.680472i | ||||
\(808\) | −4.14413 | − | 6.89699i | −0.145790 | − | 0.242635i | ||||
\(809\) | 3.56614 | − | 16.7774i | 0.125379 | − | 0.589860i | −0.869935 | − | 0.493166i | \(-0.835840\pi\) |
0.995314 | − | 0.0966946i | \(-0.0308270\pi\) | |||||||
\(810\) | 3.47839 | + | 10.3706i | 0.122218 | + | 0.364386i | ||||
\(811\) | −22.4790 | − | 17.5625i | −0.789344 | − | 0.616703i | 0.138206 | − | 0.990404i | \(-0.455866\pi\) |
−0.927549 | + | 0.373701i | \(0.878089\pi\) | |||||||
\(812\) | −2.28263 | − | 1.72008i | −0.0801045 | − | 0.0603630i | ||||
\(813\) | −0.236854 | + | 0.774715i | −0.00830683 | + | 0.0271704i | ||||
\(814\) | 11.3585 | − | 0.396647i | 0.398114 | − | 0.0139025i | ||||
\(815\) | −17.8127 | − | 22.3600i | −0.623951 | − | 0.783237i | ||||
\(816\) | −5.38370 | + | 1.74927i | −0.188467 | + | 0.0612367i | ||||
\(817\) | −13.7928 | − | 23.0149i | −0.482547 | − | 0.805190i | ||||
\(818\) | −16.0754 | − | 16.0754i | −0.562064 | − | 0.562064i | ||||
\(819\) | −0.667676 | − | 0.0466885i | −0.0233305 | − | 0.00163143i | ||||
\(820\) | 0.913394 | − | 0.288727i | 0.0318971 | − | 0.0100828i | ||||
\(821\) | −12.6439 | + | 25.9239i | −0.441276 | + | 0.904750i | 0.556013 | + | 0.831173i | \(0.312330\pi\) |
−0.997290 | + | 0.0735769i | \(0.976559\pi\) | |||||||
\(822\) | −0.113896 | + | 6.52510i | −0.00397258 | + | 0.227589i | ||||
\(823\) | 53.5759 | − | 6.57830i | 1.86754 | − | 0.229305i | 0.892454 | − | 0.451138i | \(-0.148982\pi\) |
0.975085 | + | 0.221833i | \(0.0712039\pi\) | |||||||
\(824\) | −3.57172 | + | 2.06214i | −0.124427 | + | 0.0718379i | ||||
\(825\) | 9.03569 | + | 1.25641i | 0.314582 | + | 0.0437424i | ||||
\(826\) | 0.977010 | − | 0.819808i | 0.0339945 | − | 0.0285248i | ||||
\(827\) | 5.29320 | − | 12.4700i | 0.184063 | − | 0.433624i | −0.802576 | − | 0.596550i | \(-0.796538\pi\) |
0.986638 | + | 0.162926i | \(0.0520932\pi\) | |||||||
\(828\) | −2.54942 | − | 0.978630i | −0.0885984 | − | 0.0340098i | ||||
\(829\) | −3.81368 | + | 36.2847i | −0.132455 | + | 1.26022i | 0.703211 | + | 0.710982i | \(0.251749\pi\) |
−0.835665 | + | 0.549239i | \(0.814918\pi\) | |||||||
\(830\) | 0.468133 | + | 1.94365i | 0.0162491 | + | 0.0674651i | ||||
\(831\) | 0.523258 | − | 0.255210i | 0.0181516 | − | 0.00885313i | ||||
\(832\) | 0.207380 | − | 0.296170i | 0.00718962 | − | 0.0102678i | ||||
\(833\) | −51.6829 | + | 10.0461i | −1.79070 | + | 0.348078i | ||||
\(834\) | −7.48465 | − | 3.02399i | −0.259172 | − | 0.104712i | ||||
\(835\) | −0.927618 | − | 8.08899i | −0.0321016 | − | 0.279931i | ||||
\(836\) | −11.2040 | + | 2.36801i | −0.387497 | + | 0.0818995i | ||||
\(837\) | 33.3238 | + | 16.9793i | 1.15184 | + | 0.586892i | ||||
\(838\) | 3.13214 | + | 7.37886i | 0.108198 | + | 0.254898i | ||||
\(839\) | 0.0720968 | + | 2.06458i | 0.00248906 | + | 0.0712773i | 1.00000 | 0.000761334i | \(0.000242340\pi\) | |
−0.997511 | + | 0.0705159i | \(0.977535\pi\) | |||||||
\(840\) | −1.07660 | − | 0.380360i | −0.0371464 | − | 0.0131237i | ||||
\(841\) | −13.7544 | + | 1.93305i | −0.474289 | + | 0.0666569i | ||||
\(842\) | −14.6399 | + | 26.4110i | −0.504523 | + | 0.910184i | ||||
\(843\) | 4.67076 | − | 17.4315i | 0.160870 | − | 0.600373i | ||||
\(844\) | 0.861987 | + | 8.20126i | 0.0296708 | + | 0.282299i | ||||
\(845\) | −0.774327 | − | 28.7662i | −0.0266376 | − | 0.989586i | ||||
\(846\) | 0.0400802 | + | 0.573174i | 0.00137799 | + | 0.0197061i | ||||
\(847\) | −1.07984 | + | 2.81307i | −0.0371036 | + | 0.0966581i | ||||
\(848\) | −1.88974 | + | 2.90995i | −0.0648940 | + | 0.0999280i | ||||
\(849\) | −10.7546 | − | 3.91434i | −0.369095 | − | 0.134340i | ||||
\(850\) | −31.6349 | + | 25.6942i | −1.08507 | + | 0.881303i | ||||
\(851\) | 4.62103 | − | 0.814813i | 0.158407 | − | 0.0279314i | ||||
\(852\) | −5.84699 | − | 5.45240i | −0.200315 | − | 0.186796i | ||||
\(853\) | −17.2936 | + | 28.7813i | −0.592120 | + | 0.985454i | 0.405335 | + | 0.914168i | \(0.367155\pi\) |
−0.997456 | + | 0.0712859i | \(0.977290\pi\) | |||||||
\(854\) | 5.85165 | + | 4.25148i | 0.200239 | + | 0.145482i | ||||
\(855\) | 21.1386 | + | 12.4635i | 0.722926 | + | 0.426243i | ||||
\(856\) | −12.4952 | + | 9.07832i | −0.427078 | + | 0.310291i | ||||
\(857\) | −3.88707 | − | 44.4294i | −0.132780 | − | 1.51768i | −0.711809 | − | 0.702373i | \(-0.752124\pi\) |
0.579029 | − | 0.815307i | \(-0.303432\pi\) | |||||||
\(858\) | 0.125871 | + | 0.647549i | 0.00429716 | + | 0.0221070i | ||||
\(859\) | 11.1222 | + | 20.9178i | 0.379485 | + | 0.713707i | 0.997364 | − | 0.0725661i | \(-0.0231188\pi\) |
−0.617879 | + | 0.786273i | \(0.712008\pi\) | |||||||
\(860\) | 13.3233 | − | 3.45604i | 0.454320 | − | 0.117850i | ||||
\(861\) | 0.134682 | − | 0.172385i | 0.00458993 | − | 0.00587485i | ||||
\(862\) | 0.290669 | + | 5.54630i | 0.00990023 | + | 0.188908i | ||||
\(863\) | 11.0140 | − | 7.15255i | 0.374919 | − | 0.243476i | −0.343400 | − | 0.939189i | \(-0.611579\pi\) |
0.718319 | + | 0.695714i | \(0.244912\pi\) | |||||||
\(864\) | −3.55294 | + | 1.43548i | −0.120873 | + | 0.0488361i | ||||
\(865\) | −1.47238 | + | 11.2474i | −0.0500626 | + | 0.382425i | ||||
\(866\) | 26.8445 | + | 5.70597i | 0.912212 | + | 0.193897i | ||||
\(867\) | 12.3043 | + | 32.0539i | 0.417877 | + | 1.08861i | ||||
\(868\) | 6.50392 | − | 3.03283i | 0.220757 | − | 0.102941i | ||||
\(869\) | 1.78141 | + | 3.65242i | 0.0604300 | + | 0.123900i | ||||
\(870\) | 5.44660 | − | 2.60279i | 0.184657 | − | 0.0882427i | ||||
\(871\) | −3.64679 | − | 1.04570i | −0.123567 | − | 0.0354322i | ||||
\(872\) | 10.2304 | + | 6.14702i | 0.346444 | + | 0.208164i | ||||
\(873\) | −6.84419 | − | 13.4325i | −0.231641 | − | 0.454621i | ||||
\(874\) | −4.44459 | + | 1.61191i | −0.150341 | + | 0.0545238i | ||||
\(875\) | −8.21727 | + | 0.233224i | −0.277794 | + | 0.00788440i | ||||
\(876\) | −6.91792 | + | 8.24446i | −0.233735 | + | 0.278555i | ||||
\(877\) | −6.44438 | + | 6.91075i | −0.217611 | + | 0.233360i | −0.830792 | − | 0.556583i | \(-0.812112\pi\) |
0.613181 | + | 0.789943i | \(0.289890\pi\) | |||||||
\(878\) | 13.0681 | − | 4.49970i | 0.441026 | − | 0.151857i | ||||
\(879\) | −4.50606 | − | 4.66616i | −0.151986 | − | 0.157386i | ||||
\(880\) | 0.456623 | − | 5.85671i | 0.0153927 | − | 0.197430i | ||||
\(881\) | −1.30334 | − | 0.580283i | −0.0439106 | − | 0.0195502i | 0.384664 | − | 0.923057i | \(-0.374317\pi\) |
−0.428574 | + | 0.903506i | \(0.640984\pi\) | |||||||
\(882\) | −15.7085 | + | 4.20909i | −0.528934 | + | 0.141727i | ||||
\(883\) | −40.1587 | + | 24.1298i | −1.35145 | + | 0.812032i | −0.992608 | − | 0.121367i | \(-0.961272\pi\) |
−0.358841 | + | 0.933399i | \(0.616828\pi\) | |||||||
\(884\) | −2.49923 | − | 1.56169i | −0.0840582 | − | 0.0525254i | ||||
\(885\) | 0.584945 | + | 2.62941i | 0.0196627 | + | 0.0883867i | ||||
\(886\) | 0.823525 | + | 3.87438i | 0.0276669 | + | 0.130162i | ||||
\(887\) | 12.3409 | − | 11.5081i | 0.414368 | − | 0.386405i | −0.446876 | − | 0.894596i | \(-0.647463\pi\) |
0.861244 | + | 0.508191i | \(0.169686\pi\) | |||||||
\(888\) | 1.80812 | − | 2.39946i | 0.0606766 | − | 0.0805206i | ||||
\(889\) | 11.1377 | + | 1.56531i | 0.373547 | + | 0.0524987i | ||||
\(890\) | 2.64217 | − | 2.60025i | 0.0885656 | − | 0.0871606i | ||||
\(891\) | −4.81425 | + | 11.9157i | −0.161283 | + | 0.399191i | ||||
\(892\) | −16.4164 | − | 2.60010i | −0.549662 | − | 0.0870578i | ||||
\(893\) | 0.702596 | + | 0.704214i | 0.0235115 | + | 0.0235656i | ||||
\(894\) | 2.62283 | + | 3.61002i | 0.0877207 | + | 0.120737i | ||||
\(895\) | −21.2112 | + | 12.0212i | −0.709013 | + | 0.401825i | ||||
\(896\) | −0.202668 | + | 0.706788i | −0.00677067 | + | 0.0236121i | ||||
\(897\) | 0.0886689 | + | 0.257513i | 0.00296057 | + | 0.00859811i | ||||
\(898\) | −6.40115 | − | 20.9372i | −0.213609 | − | 0.698683i | ||||
\(899\) | −12.9760 | + | 35.6514i | −0.432775 | + | 1.18904i | ||||
\(900\) | −9.19402 | + | 8.59875i | −0.306467 | + | 0.286625i | ||||
\(901\) | 24.4925 | + | 14.1408i | 0.815965 | + | 0.471097i | ||||
\(902\) | 1.03601 | + | 0.439761i | 0.0344954 | + | 0.0146424i | ||||
\(903\) | 2.06216 | − | 2.37224i | 0.0686244 | − | 0.0789433i | ||||
\(904\) | −3.15739 | − | 7.09161i | −0.105013 | − | 0.235864i | ||||
\(905\) | 4.98932 | + | 0.741928i | 0.165851 | + | 0.0246625i | ||||
\(906\) | −1.28209 | − | 4.47118i | −0.0425946 | − | 0.148545i | ||||
\(907\) | 12.2417 | − | 8.57174i | 0.406479 | − | 0.284620i | −0.352402 | − | 0.935849i | \(-0.614635\pi\) |
0.758881 | + | 0.651229i | \(0.225746\pi\) | |||||||
\(908\) | −2.56740 | + | 0.0448142i | −0.0852022 | + | 0.00148721i | ||||
\(909\) | −15.9635 | + | 12.4720i | −0.529475 | + | 0.413671i | ||||
\(910\) | −0.208585 | − | 0.556644i | −0.00691452 | − | 0.0184526i | ||||
\(911\) | −7.46924 | − | 2.42690i | −0.247467 | − | 0.0804069i | 0.182657 | − | 0.983177i | \(-0.441530\pi\) |
−0.430124 | + | 0.902770i | \(0.641530\pi\) | |||||||
\(912\) | −1.37742 | + | 2.69568i | −0.0456110 | + | 0.0892628i | ||||
\(913\) | −1.06637 | + | 2.09288i | −0.0352918 | + | 0.0692641i | ||||
\(914\) | 26.3478 | − | 16.4639i | 0.871508 | − | 0.544578i | ||||
\(915\) | −13.6665 | + | 6.82634i | −0.451800 | + | 0.225672i | ||||
\(916\) | 11.2192 | − | 5.96535i | 0.370693 | − | 0.197101i | ||||
\(917\) | 5.21227 | + | 1.79473i | 0.172124 | + | 0.0592672i | ||||
\(918\) | 13.2002 | + | 28.3079i | 0.435671 | + | 0.934299i | ||||
\(919\) | 2.47383 | − | 5.55631i | 0.0816041 | − | 0.183286i | −0.868135 | − | 0.496328i | \(-0.834681\pi\) |
0.949739 | + | 0.313042i | \(0.101348\pi\) | |||||||
\(920\) | −0.149834 | − | 2.42071i | −0.00493990 | − | 0.0798084i | ||||
\(921\) | 15.1125 | − | 1.05677i | 0.497975 | − | 0.0348218i | ||||
\(922\) | −4.07960 | − | 3.54634i | −0.134354 | − | 0.116792i | ||||
\(923\) | 0.217829 | − | 4.15643i | 0.00716994 | − | 0.136811i | ||||
\(924\) | −0.670760 | − | 1.16179i | −0.0220664 | − | 0.0382201i | ||||
\(925\) | 5.93179 | − | 20.8014i | 0.195036 | − | 0.683947i | ||||
\(926\) | −10.4116 | − | 1.83585i | −0.342147 | − | 0.0603298i | ||||
\(927\) | 6.24902 | + | 8.29273i | 0.205245 | + | 0.272369i | ||||
\(928\) | −1.88456 | − | 3.39984i | −0.0618637 | − | 0.111605i | ||||
\(929\) | −8.52038 | + | 2.12437i | −0.279545 | + | 0.0696983i | −0.379171 | − | 0.925327i | \(-0.623791\pi\) |
0.0996265 | + | 0.995025i | \(0.468235\pi\) | |||||||
\(930\) | −0.650045 | + | 15.1427i | −0.0213158 | + | 0.496547i | ||||
\(931\) | −15.7713 | + | 23.3241i | −0.516885 | + | 0.764416i | ||||
\(932\) | −9.85334 | + | 9.85334i | −0.322757 | + | 0.322757i | ||||
\(933\) | −0.513594 | + | 0.446461i | −0.0168143 | + | 0.0146165i | ||||
\(934\) | −3.67570 | − | 4.70468i | −0.120273 | − | 0.153942i | ||||
\(935\) | −47.8672 | − | 1.21841i | −1.56543 | − | 0.0398462i | ||||
\(936\) | −0.803735 | − | 0.427353i | −0.0262709 | − | 0.0139685i | ||||
\(937\) | −16.3834 | − | 17.5690i | −0.535222 | − | 0.573955i | 0.405087 | − | 0.914278i | \(-0.367241\pi\) |
−0.940308 | + | 0.340323i | \(0.889463\pi\) | |||||||
\(938\) | 7.70451 | − | 0.403776i | 0.251561 | − | 0.0131838i | ||||
\(939\) | −2.77083 | − | 3.07732i | −0.0904227 | − | 0.100425i | ||||
\(940\) | −0.448286 | + | 0.243824i | −0.0146215 | + | 0.00795266i | ||||
\(941\) | 14.5687 | − | 23.3147i | 0.474925 | − | 0.760039i | −0.520674 | − | 0.853756i | \(-0.674319\pi\) |
0.995599 | + | 0.0937167i | \(0.0298748\pi\) | |||||||
\(942\) | 5.86859 | + | 4.75229i | 0.191209 | + | 0.154838i | ||||
\(943\) | 0.448834 | + | 0.120265i | 0.0146160 | + | 0.00391636i | ||||
\(944\) | 1.66740 | − | 0.478119i | 0.0542692 | − | 0.0155614i | ||||
\(945\) | −1.35911 | + | 6.15186i | −0.0442119 | + | 0.200120i | ||||
\(946\) | 14.5349 | + | 7.08914i | 0.472570 | + | 0.230488i | ||||
\(947\) | 15.9705 | − | 8.85259i | 0.518971 | − | 0.287671i | −0.203496 | − | 0.979076i | \(-0.565230\pi\) |
0.722467 | + | 0.691405i | \(0.243008\pi\) | |||||||
\(948\) | 1.04671 | + | 0.241651i | 0.0339955 | + | 0.00784847i | ||||
\(949\) | −5.60299 | −0.181881 | ||||||||
\(950\) | −2.27136 | + | 21.6758i | −0.0736925 | + | 0.703256i | ||||
\(951\) | 24.3592 | 0.789903 | ||||||||
\(952\) | 5.83957 | + | 1.34817i | 0.189261 | + | 0.0436944i | ||||
\(953\) | −8.58036 | + | 4.75617i | −0.277945 | + | 0.154067i | −0.617623 | − | 0.786474i | \(-0.711904\pi\) |
0.339678 | + | 0.940542i | \(0.389682\pi\) | |||||||
\(954\) | 7.85155 | + | 3.82946i | 0.254203 | + | 0.123983i | ||||
\(955\) | 17.3987 | + | 39.9344i | 0.563009 | + | 1.29225i | ||||
\(956\) | 2.19341 | − | 0.628949i | 0.0709398 | − | 0.0203417i | ||||
\(957\) | 6.85066 | + | 1.83563i | 0.221450 | + | 0.0593375i | ||||
\(958\) | −14.7338 | − | 11.9312i | −0.476029 | − | 0.385481i | ||||
\(959\) | 3.66138 | − | 5.85944i | 0.118232 | − | 0.189211i | ||||
\(960\) | −1.12723 | − | 1.06814i | −0.0363813 | − | 0.0344740i | ||||
\(961\) | −42.9973 | − | 47.7534i | −1.38701 | − | 1.54043i | ||||
\(962\) | 1.56200 | − | 0.0818608i | 0.0503608 | − | 0.00263930i | ||||
\(963\) | 26.5199 | + | 28.4391i | 0.854591 | + | 0.916437i | ||||
\(964\) | 13.7842 | + | 7.32920i | 0.443960 | + | 0.236058i | ||||
\(965\) | −11.1684 | + | 31.6120i | −0.359522 | + | 1.01763i | ||||
\(966\) | −0.340991 | − | 0.436448i | −0.0109712 | − | 0.0140425i | ||||
\(967\) | −1.99105 | + | 1.73079i | −0.0640279 | + | 0.0556586i | −0.687482 | − | 0.726201i | \(-0.741284\pi\) |
0.623455 | + | 0.781860i | \(0.285729\pi\) | |||||||
\(968\) | −2.89778 | + | 2.89778i | −0.0931383 | + | 0.0931383i | ||||
\(969\) | 22.5299 | + | 10.0620i | 0.723764 | + | 0.323238i | ||||
\(970\) | 8.32739 | − | 10.4847i | 0.267376 | − | 0.336643i | ||||
\(971\) | 27.0096 | − | 6.73424i | 0.866779 | − | 0.216112i | 0.216940 | − | 0.976185i | \(-0.430392\pi\) |
0.649838 | + | 0.760073i | \(0.274837\pi\) | |||||||
\(972\) | 7.22037 | + | 13.0259i | 0.231593 | + | 0.417806i | ||||
\(973\) | 5.14340 | + | 6.82553i | 0.164890 | + | 0.218816i | ||||
\(974\) | 10.5693 | + | 1.86365i | 0.338661 | + | 0.0597151i | ||||
\(975\) | 1.24635 | + | 0.151182i | 0.0399151 | + | 0.00484169i | ||||
\(976\) | 4.91863 | + | 8.51931i | 0.157441 | + | 0.272696i | ||||
\(977\) | −1.77313 | + | 33.8332i | −0.0567273 | + | 1.08242i | 0.810893 | + | 0.585194i | \(0.198982\pi\) |
−0.867620 | + | 0.497227i | \(0.834352\pi\) | |||||||
\(978\) | −6.70102 | − | 5.82510i | −0.214275 | − | 0.186266i | ||||
\(979\) | 4.34481 | − | 0.303819i | 0.138861 | − | 0.00971010i | ||||
\(980\) | −9.19541 | − | 11.1383i | −0.293737 | − | 0.355801i | ||||
\(981\) | 12.2219 | − | 27.4509i | 0.390217 | − | 0.876441i | ||||
\(982\) | −15.4082 | − | 33.0429i | −0.491694 | − | 1.05444i | ||||
\(983\) | −9.20935 | − | 3.17103i | −0.293733 | − | 0.101140i | 0.174750 | − | 0.984613i | \(-0.444088\pi\) |
−0.468483 | + | 0.883473i | \(0.655199\pi\) | |||||||
\(984\) | 0.262696 | − | 0.139678i | 0.00837445 | − | 0.00445277i | ||||
\(985\) | −26.9362 | − | 27.3704i | −0.858260 | − | 0.872094i | ||||
\(986\) | −26.8701 | + | 16.7903i | −0.855717 | + | 0.534711i | ||||
\(987\) | −0.0529058 | + | 0.103833i | −0.00168401 | + | 0.00330506i | ||||
\(988\) | −1.53600 | + | 0.352754i | −0.0488668 | + | 0.0112226i | ||||
\(989\) | 6.34982 | + | 2.06318i | 0.201913 | + | 0.0656054i | ||||
\(990\) | −14.7756 | + | 0.655944i | −0.469598 | + | 0.0208473i | ||||
\(991\) | 29.8167 | − | 23.2954i | 0.947159 | − | 0.740002i | −0.0184962 | − | 0.999829i | \(-0.505888\pi\) |
0.965655 | + | 0.259827i | \(0.0836656\pi\) | |||||||
\(992\) | 9.75856 | − | 0.170336i | 0.309835 | − | 0.00540818i | ||||
\(993\) | 10.9460 | − | 7.66447i | 0.347361 | − | 0.243225i | ||||
\(994\) | 2.33306 | + | 8.13633i | 0.0740000 | + | 0.258069i | ||||
\(995\) | −16.2059 | − | 15.9022i | −0.513761 | − | 0.504133i | ||||
\(996\) | 0.252555 | + | 0.567249i | 0.00800252 | + | 0.0179740i | ||||
\(997\) | −8.22863 | + | 9.46596i | −0.260603 | + | 0.299790i | −0.869976 | − | 0.493094i | \(-0.835866\pi\) |
0.609373 | + | 0.792884i | \(0.291421\pi\) | |||||||
\(998\) | −38.6392 | − | 16.4014i | −1.22310 | − | 0.519176i | ||||
\(999\) | −14.3566 | − | 8.28880i | −0.454223 | − | 0.262246i |
(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 | 950.2.bi.a.3.11 | ✓ | 2400 | |
19.13 | odd | 18 | inner | 950.2.bi.a.203.40 | yes | 2400 | |
25.17 | odd | 20 | inner | 950.2.bi.a.117.40 | yes | 2400 | |
475.317 | even | 180 | inner | 950.2.bi.a.317.11 | yes | 2400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bi.a.3.11 | ✓ | 2400 | 1.1 | even | 1 | trivial | |
950.2.bi.a.117.40 | yes | 2400 | 25.17 | odd | 20 | inner | |
950.2.bi.a.203.40 | yes | 2400 | 19.13 | odd | 18 | inner | |
950.2.bi.a.317.11 | yes | 2400 | 475.317 | even | 180 | inner |