Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,2,Mod(2,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 57 = 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 57.j (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.455147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Character | \(\chi\) | \(=\) | 57.2 |
Dual form | 57.2.j.b.29.1 |
$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.448036 | + | 2.54094i | −0.316810 | + | 1.79672i | 0.245078 | + | 0.969503i | \(0.421186\pi\) |
−0.561888 | + | 0.827213i | \(0.689925\pi\) | |||||||
\(3\) | −1.71942 | − | 0.208799i | −0.992707 | − | 0.120550i | ||||
\(4\) | −4.37626 | − | 1.59283i | −2.18813 | − | 0.796414i | ||||
\(5\) | 0.533860 | + | 1.46677i | 0.238750 | + | 0.655959i | 0.999972 | + | 0.00746821i | \(0.00237723\pi\) |
−0.761223 | + | 0.648491i | \(0.775401\pi\) | |||||||
\(6\) | 1.30091 | − | 4.27539i | 0.531094 | − | 1.74542i | ||||
\(7\) | 1.49687 | + | 2.59266i | 0.565765 | + | 0.979934i | 0.996978 | + | 0.0776837i | \(0.0247524\pi\) |
−0.431213 | + | 0.902250i | \(0.641914\pi\) | |||||||
\(8\) | 3.42787 | − | 5.93724i | 1.21193 | − | 2.09913i | ||||
\(9\) | 2.91281 | + | 0.718027i | 0.970935 | + | 0.239342i | ||||
\(10\) | −3.96616 | + | 0.699341i | −1.25421 | + | 0.221151i | ||||
\(11\) | −1.05900 | − | 0.611412i | −0.319299 | − | 0.184348i | 0.331781 | − | 0.943356i | \(-0.392351\pi\) |
−0.651080 | + | 0.759009i | \(0.725684\pi\) | |||||||
\(12\) | 7.19204 | + | 3.65250i | 2.07616 | + | 1.05439i | ||||
\(13\) | 0.203530 | + | 0.242558i | 0.0564491 | + | 0.0672734i | 0.793530 | − | 0.608531i | \(-0.208241\pi\) |
−0.737081 | + | 0.675804i | \(0.763796\pi\) | |||||||
\(14\) | −7.25845 | + | 2.64186i | −1.93990 | + | 0.706067i | ||||
\(15\) | −0.611669 | − | 2.63346i | −0.157932 | − | 0.679956i | ||||
\(16\) | 6.41525 | + | 5.38303i | 1.60381 | + | 1.34576i | ||||
\(17\) | 5.00468 | + | 0.882460i | 1.21381 | + | 0.214028i | 0.743660 | − | 0.668558i | \(-0.233088\pi\) |
0.470152 | + | 0.882585i | \(0.344199\pi\) | |||||||
\(18\) | −3.12951 | + | 7.07956i | −0.737632 | + | 1.66867i | ||||
\(19\) | −0.461268 | − | 4.33442i | −0.105822 | − | 0.994385i | ||||
\(20\) | − | 7.26931i | − | 1.62547i | ||||||
\(21\) | −2.03241 | − | 4.77042i | −0.443508 | − | 1.04099i | ||||
\(22\) | 2.02803 | − | 2.41691i | 0.432377 | − | 0.515287i | ||||
\(23\) | −0.211619 | + | 0.581418i | −0.0441256 | + | 0.121234i | −0.959798 | − | 0.280691i | \(-0.909436\pi\) |
0.915673 | + | 0.401925i | \(0.131659\pi\) | |||||||
\(24\) | −7.13363 | + | 9.49287i | −1.45615 | + | 1.93772i | ||||
\(25\) | 1.96382 | − | 1.64784i | 0.392764 | − | 0.329568i | ||||
\(26\) | −0.707514 | + | 0.408483i | −0.138755 | + | 0.0801102i | ||||
\(27\) | −4.85841 | − | 1.84278i | −0.935002 | − | 0.354644i | ||||
\(28\) | −2.42104 | − | 13.7304i | −0.457534 | − | 2.59481i | ||||
\(29\) | −0.204862 | − | 1.16183i | −0.0380420 | − | 0.215747i | 0.959861 | − | 0.280477i | \(-0.0904925\pi\) |
−0.997903 | + | 0.0647299i | \(0.979381\pi\) | |||||||
\(30\) | 6.96552 | − | 0.374329i | 1.27172 | − | 0.0683428i | ||||
\(31\) | −4.50103 | + | 2.59867i | −0.808409 | + | 0.466735i | −0.846403 | − | 0.532543i | \(-0.821237\pi\) |
0.0379939 | + | 0.999278i | \(0.487903\pi\) | |||||||
\(32\) | −6.04864 | + | 5.07541i | −1.06926 | + | 0.897214i | ||||
\(33\) | 1.69320 | + | 1.27239i | 0.294748 | + | 0.221495i | ||||
\(34\) | −4.48456 | + | 12.3212i | −0.769095 | + | 2.11307i | ||||
\(35\) | −3.00371 | + | 3.57969i | −0.507720 | + | 0.605077i | ||||
\(36\) | −11.6035 | − | 7.78187i | −1.93392 | − | 1.29698i | ||||
\(37\) | 3.64847i | 0.599805i | 0.953970 | + | 0.299902i | \(0.0969541\pi\) | ||||
−0.953970 | + | 0.299902i | \(0.903046\pi\) | |||||||
\(38\) | 11.2202 | + | 0.769925i | 1.82015 | + | 0.124898i | ||||
\(39\) | −0.299308 | − | 0.459555i | −0.0479276 | − | 0.0735878i | ||||
\(40\) | 10.5386 | + | 1.85823i | 1.66629 | + | 0.293812i | ||||
\(41\) | −0.118123 | − | 0.0991172i | −0.0184477 | − | 0.0154795i | 0.633517 | − | 0.773729i | \(-0.281611\pi\) |
−0.651965 | + | 0.758249i | \(0.726055\pi\) | |||||||
\(42\) | 13.0319 | − | 3.02691i | 2.01087 | − | 0.467062i | ||||
\(43\) | 8.99072 | − | 3.27235i | 1.37107 | − | 0.499029i | 0.451613 | − | 0.892214i | \(-0.350849\pi\) |
0.919460 | + | 0.393185i | \(0.128627\pi\) | |||||||
\(44\) | 3.66057 | + | 4.36249i | 0.551851 | + | 0.657671i | ||||
\(45\) | 0.501851 | + | 4.65574i | 0.0748115 | + | 0.694036i | ||||
\(46\) | −1.38254 | − | 0.798207i | −0.203844 | − | 0.117689i | ||||
\(47\) | −8.03246 | + | 1.41634i | −1.17165 | + | 0.206594i | −0.725410 | − | 0.688317i | \(-0.758350\pi\) |
−0.446244 | + | 0.894911i | \(0.647239\pi\) | |||||||
\(48\) | −9.90652 | − | 10.5952i | −1.42988 | − | 1.52928i | ||||
\(49\) | −0.981262 | + | 1.69960i | −0.140180 | + | 0.242799i | ||||
\(50\) | 3.30720 | + | 5.72824i | 0.467709 | + | 0.810095i | ||||
\(51\) | −8.42088 | − | 2.56229i | −1.17916 | − | 0.358793i | ||||
\(52\) | −0.504348 | − | 1.38568i | −0.0699404 | − | 0.192160i | ||||
\(53\) | −2.88328 | − | 1.04943i | −0.396048 | − | 0.144150i | 0.136315 | − | 0.990665i | \(-0.456474\pi\) |
−0.532364 | + | 0.846516i | \(0.678696\pi\) | |||||||
\(54\) | 6.85915 | − | 11.5193i | 0.933412 | − | 1.56758i | ||||
\(55\) | 0.331444 | − | 1.87971i | 0.0446919 | − | 0.253460i | ||||
\(56\) | 20.5243 | 2.74268 | ||||||||
\(57\) | −0.111912 | + | 7.54900i | −0.0148231 | + | 0.999890i | ||||
\(58\) | 3.04393 | 0.399688 | ||||||||
\(59\) | 0.468861 | − | 2.65904i | 0.0610405 | − | 0.346178i | −0.938957 | − | 0.344034i | \(-0.888206\pi\) |
0.999998 | − | 0.00214403i | \(-0.000682465\pi\) | |||||||
\(60\) | −1.51783 | + | 12.4990i | −0.195951 | + | 1.61361i | ||||
\(61\) | −6.47830 | − | 2.35791i | −0.829462 | − | 0.301899i | −0.107824 | − | 0.994170i | \(-0.534388\pi\) |
−0.721638 | + | 0.692271i | \(0.756610\pi\) | |||||||
\(62\) | −4.58645 | − | 12.6012i | −0.582479 | − | 1.60035i | ||||
\(63\) | 2.49850 | + | 8.62672i | 0.314781 | + | 1.08686i | ||||
\(64\) | −1.81179 | − | 3.13812i | −0.226474 | − | 0.392265i | ||||
\(65\) | −0.247119 | + | 0.428023i | −0.0306514 | + | 0.0530898i | ||||
\(66\) | −3.99168 | + | 3.73223i | −0.491342 | + | 0.459406i | ||||
\(67\) | 8.96745 | − | 1.58120i | 1.09555 | − | 0.193175i | 0.403467 | − | 0.914994i | \(-0.367805\pi\) |
0.692081 | + | 0.721820i | \(0.256694\pi\) | |||||||
\(68\) | −20.4962 | − | 11.8335i | −2.48552 | − | 1.43502i | ||||
\(69\) | 0.485261 | − | 0.955515i | 0.0584186 | − | 0.115031i | ||||
\(70\) | −7.75000 | − | 9.23609i | −0.926302 | − | 1.10392i | ||||
\(71\) | 12.9496 | − | 4.71326i | 1.53683 | − | 0.559360i | 0.571548 | − | 0.820569i | \(-0.306343\pi\) |
0.965282 | + | 0.261208i | \(0.0841209\pi\) | |||||||
\(72\) | 14.2478 | − | 14.8327i | 1.67912 | − | 1.74805i | ||||
\(73\) | −0.335304 | − | 0.281354i | −0.0392444 | − | 0.0329300i | 0.622954 | − | 0.782258i | \(-0.285932\pi\) |
−0.662199 | + | 0.749328i | \(0.730377\pi\) | |||||||
\(74\) | −9.27055 | − | 1.63465i | −1.07768 | − | 0.190024i | ||||
\(75\) | −3.72070 | + | 2.42328i | −0.429629 | + | 0.279817i | ||||
\(76\) | −4.88536 | + | 19.7033i | −0.560390 | + | 2.26012i | ||||
\(77\) | − | 3.66082i | − | 0.417190i | ||||||
\(78\) | 1.30180 | − | 0.554625i | 0.147400 | − | 0.0627990i | ||||
\(79\) | −0.940136 | + | 1.12041i | −0.105774 | + | 0.126056i | −0.816334 | − | 0.577580i | \(-0.803997\pi\) |
0.710560 | + | 0.703636i | \(0.248442\pi\) | |||||||
\(80\) | −4.47082 | + | 12.2835i | −0.499852 | + | 1.37333i | ||||
\(81\) | 7.96887 | + | 4.18295i | 0.885430 | + | 0.464772i | ||||
\(82\) | 0.304774 | − | 0.255736i | 0.0336567 | − | 0.0282413i | ||||
\(83\) | −9.46265 | + | 5.46326i | −1.03866 | + | 0.599671i | −0.919454 | − | 0.393198i | \(-0.871369\pi\) |
−0.119207 | + | 0.992869i | \(0.538035\pi\) | |||||||
\(84\) | 1.29589 | + | 24.1139i | 0.141393 | + | 2.63104i | ||||
\(85\) | 1.37743 | + | 7.81181i | 0.149404 | + | 0.847310i | ||||
\(86\) | 4.28669 | + | 24.3110i | 0.462246 | + | 2.62153i | ||||
\(87\) | 0.109654 | + | 2.04045i | 0.0117562 | + | 0.218759i | ||||
\(88\) | −7.26019 | + | 4.19167i | −0.773939 | + | 0.446834i | ||||
\(89\) | 6.02351 | − | 5.05433i | 0.638491 | − | 0.535758i | −0.265063 | − | 0.964231i | \(-0.585393\pi\) |
0.903554 | + | 0.428473i | \(0.140948\pi\) | |||||||
\(90\) | −12.0548 | − | 0.810768i | −1.27069 | − | 0.0854624i | ||||
\(91\) | −0.324211 | + | 0.890763i | −0.0339866 | + | 0.0933773i | ||||
\(92\) | 1.85220 | − | 2.20736i | 0.193105 | − | 0.230134i | ||||
\(93\) | 8.28176 | − | 3.52839i | 0.858779 | − | 0.365877i | ||||
\(94\) | − | 21.0446i | − | 2.17058i | ||||||
\(95\) | 6.11134 | − | 2.99055i | 0.627011 | − | 0.306824i | ||||
\(96\) | 11.4599 | − | 7.46380i | 1.16962 | − | 0.761771i | ||||
\(97\) | −18.2890 | − | 3.22484i | −1.85697 | − | 0.327433i | −0.870599 | − | 0.491994i | \(-0.836268\pi\) |
−0.986367 | + | 0.164561i | \(0.947379\pi\) | |||||||
\(98\) | −3.87893 | − | 3.25481i | −0.391831 | − | 0.328786i | ||||
\(99\) | −2.64564 | − | 2.54131i | −0.265897 | − | 0.255411i | ||||
\(100\) | −11.2189 | + | 4.08335i | −1.12189 | + | 0.408335i | ||||
\(101\) | −9.92594 | − | 11.8293i | −0.987668 | − | 1.17706i | −0.984200 | − | 0.177062i | \(-0.943341\pi\) |
−0.00346803 | − | 0.999994i | \(-0.501104\pi\) | |||||||
\(102\) | 10.2835 | − | 20.2490i | 1.01822 | − | 2.00495i | ||||
\(103\) | 6.42425 | + | 3.70904i | 0.633000 | + | 0.365463i | 0.781913 | − | 0.623387i | \(-0.214244\pi\) |
−0.148913 | + | 0.988850i | \(0.547577\pi\) | |||||||
\(104\) | 2.13780 | − | 0.376951i | 0.209628 | − | 0.0369631i | ||||
\(105\) | 5.91208 | − | 5.52781i | 0.576960 | − | 0.539459i | ||||
\(106\) | 3.95834 | − | 6.85605i | 0.384468 | − | 0.665919i | ||||
\(107\) | −6.82023 | − | 11.8130i | −0.659337 | − | 1.14200i | −0.980788 | − | 0.195078i | \(-0.937504\pi\) |
0.321451 | − | 0.946926i | \(-0.395829\pi\) | |||||||
\(108\) | 18.3264 | + | 15.8031i | 1.76346 | + | 1.52065i | ||||
\(109\) | −0.443482 | − | 1.21846i | −0.0424778 | − | 0.116707i | 0.916640 | − | 0.399714i | \(-0.130890\pi\) |
−0.959118 | + | 0.283007i | \(0.908668\pi\) | |||||||
\(110\) | 4.62773 | + | 1.68436i | 0.441237 | + | 0.160597i | ||||
\(111\) | 0.761799 | − | 6.27325i | 0.0723067 | − | 0.595431i | ||||
\(112\) | −4.35356 | + | 24.6903i | −0.411373 | + | 2.33301i | ||||
\(113\) | 6.86179 | 0.645503 | 0.322752 | − | 0.946484i | \(-0.395392\pi\) | ||||
0.322752 | + | 0.946484i | \(0.395392\pi\) | |||||||
\(114\) | −19.1314 | − | 3.66659i | −1.79182 | − | 0.343408i | ||||
\(115\) | −0.965781 | −0.0900595 | ||||||||
\(116\) | −0.954068 | + | 5.41079i | −0.0885830 | + | 0.502379i | ||||
\(117\) | 0.418680 | + | 0.852664i | 0.0387070 | + | 0.0788288i | ||||
\(118\) | 6.54641 | + | 2.38270i | 0.602646 | + | 0.219345i | ||||
\(119\) | 5.20345 | + | 14.2964i | 0.477000 | + | 1.31055i | ||||
\(120\) | −17.7322 | − | 5.39552i | −1.61872 | − | 0.492542i | ||||
\(121\) | −4.75235 | − | 8.23131i | −0.432032 | − | 0.748301i | ||||
\(122\) | 8.89382 | − | 15.4046i | 0.805209 | − | 1.39466i | ||||
\(123\) | 0.182408 | + | 0.195088i | 0.0164472 | + | 0.0175905i | ||||
\(124\) | 23.8369 | − | 4.20309i | 2.14062 | − | 0.377449i | ||||
\(125\) | 10.2243 | + | 5.90301i | 0.914490 | + | 0.527981i | ||||
\(126\) | −23.0394 | + | 2.48346i | −2.05251 | + | 0.221244i | ||||
\(127\) | −2.00315 | − | 2.38726i | −0.177751 | − | 0.211835i | 0.669811 | − | 0.742531i | \(-0.266375\pi\) |
−0.847562 | + | 0.530696i | \(0.821931\pi\) | |||||||
\(128\) | −6.05398 | + | 2.20347i | −0.535101 | + | 0.194761i | ||||
\(129\) | −16.1421 | + | 3.74929i | −1.42123 | + | 0.330107i | ||||
\(130\) | −0.976864 | − | 0.819686i | −0.0856766 | − | 0.0718912i | ||||
\(131\) | 3.61069 | + | 0.636662i | 0.315467 | + | 0.0556254i | 0.329140 | − | 0.944281i | \(-0.393241\pi\) |
−0.0136728 | + | 0.999907i | \(0.504352\pi\) | |||||||
\(132\) | −5.38316 | − | 8.26528i | −0.468544 | − | 0.719400i | ||||
\(133\) | 10.5472 | − | 7.68400i | 0.914561 | − | 0.666287i | ||||
\(134\) | 23.4942i | 2.02959i | ||||||||
\(135\) | 0.109224 | − | 8.10995i | 0.00940049 | − | 0.697994i | ||||
\(136\) | 22.3947 | − | 26.6890i | 1.92033 | − | 2.28856i | ||||
\(137\) | −5.40504 | + | 14.8502i | −0.461784 | + | 1.26874i | 0.462359 | + | 0.886693i | \(0.347003\pi\) |
−0.924143 | + | 0.382048i | \(0.875219\pi\) | |||||||
\(138\) | 2.21049 | + | 1.66113i | 0.188170 | + | 0.141404i | ||||
\(139\) | −5.59691 | + | 4.69637i | −0.474724 | + | 0.398341i | −0.848514 | − | 0.529173i | \(-0.822502\pi\) |
0.373790 | + | 0.927513i | \(0.378058\pi\) | |||||||
\(140\) | 18.8469 | − | 10.8812i | 1.59285 | − | 0.919632i | ||||
\(141\) | 14.1069 | − | 0.758108i | 1.18801 | − | 0.0638442i | ||||
\(142\) | 6.17423 | + | 35.0158i | 0.518130 | + | 2.93846i | ||||
\(143\) | −0.0672349 | − | 0.381308i | −0.00562247 | − | 0.0318866i | ||||
\(144\) | 14.8212 | + | 20.2860i | 1.23510 | + | 1.69050i | ||||
\(145\) | 1.59477 | − | 0.920741i | 0.132439 | − | 0.0764634i | ||||
\(146\) | 0.865132 | − | 0.725932i | 0.0715988 | − | 0.0600786i | ||||
\(147\) | 2.04208 | − | 2.71743i | 0.168428 | − | 0.224130i | ||||
\(148\) | 5.81139 | − | 15.9667i | 0.477693 | − | 1.31245i | ||||
\(149\) | 3.59311 | − | 4.28210i | 0.294359 | − | 0.350803i | −0.598514 | − | 0.801113i | \(-0.704242\pi\) |
0.892873 | + | 0.450309i | \(0.148686\pi\) | |||||||
\(150\) | −4.49041 | − | 10.5398i | −0.366641 | − | 0.860570i | ||||
\(151\) | 19.1657i | 1.55968i | 0.625980 | + | 0.779839i | \(0.284699\pi\) | ||||
−0.625980 | + | 0.779839i | \(0.715301\pi\) | |||||||
\(152\) | −27.3157 | − | 12.1192i | −2.21559 | − | 0.982994i | ||||
\(153\) | 13.9440 | + | 6.16393i | 1.12731 | + | 0.498324i | ||||
\(154\) | 9.30194 | + | 1.64018i | 0.749572 | + | 0.132170i | ||||
\(155\) | −6.21457 | − | 5.21465i | −0.499167 | − | 0.418850i | ||||
\(156\) | 0.577855 | + | 2.48788i | 0.0462654 | + | 0.199190i | ||||
\(157\) | −13.5243 | + | 4.92243i | −1.07935 | + | 0.392853i | −0.819667 | − | 0.572840i | \(-0.805842\pi\) |
−0.259687 | + | 0.965693i | \(0.583619\pi\) | |||||||
\(158\) | −2.42568 | − | 2.89081i | −0.192977 | − | 0.229981i | ||||
\(159\) | 4.73844 | + | 2.40643i | 0.375783 | + | 0.190842i | ||||
\(160\) | −10.6736 | − | 6.16239i | −0.843820 | − | 0.487180i | ||||
\(161\) | −1.82419 | + | 0.321653i | −0.143766 | + | 0.0253498i | ||||
\(162\) | −14.1990 | + | 18.3743i | −1.11558 | + | 1.44362i | ||||
\(163\) | −0.951823 | + | 1.64861i | −0.0745525 | + | 0.129129i | −0.900892 | − | 0.434044i | \(-0.857086\pi\) |
0.826339 | + | 0.563173i | \(0.190420\pi\) | |||||||
\(164\) | 0.359061 | + | 0.621912i | 0.0280380 | + | 0.0485632i | ||||
\(165\) | −0.962373 | + | 3.16281i | −0.0749206 | + | 0.246224i | ||||
\(166\) | −9.64222 | − | 26.4918i | −0.748381 | − | 2.05616i | ||||
\(167\) | 12.4088 | + | 4.51642i | 0.960220 | + | 0.349491i | 0.774120 | − | 0.633039i | \(-0.218193\pi\) |
0.186100 | + | 0.982531i | \(0.440415\pi\) | |||||||
\(168\) | −35.2899 | − | 4.28547i | −2.72268 | − | 0.330631i | ||||
\(169\) | 2.24002 | − | 12.7038i | 0.172309 | − | 0.977213i | ||||
\(170\) | −20.4665 | −1.56971 | ||||||||
\(171\) | 1.76865 | − | 12.9565i | 0.135252 | − | 0.990811i | ||||
\(172\) | −44.5580 | −3.39752 | ||||||||
\(173\) | −2.37910 | + | 13.4925i | −0.180880 | + | 1.02582i | 0.750256 | + | 0.661147i | \(0.229930\pi\) |
−0.931136 | + | 0.364672i | \(0.881181\pi\) | |||||||
\(174\) | −5.23380 | − | 0.635571i | −0.396773 | − | 0.0481825i | ||||
\(175\) | 7.21188 | + | 2.62491i | 0.545167 | + | 0.198424i | ||||
\(176\) | −3.50247 | − | 9.62296i | −0.264009 | − | 0.725358i | ||||
\(177\) | −1.36138 | + | 4.47411i | −0.102327 | + | 0.336295i | ||||
\(178\) | 10.1440 | + | 17.5699i | 0.760325 | + | 1.31692i | ||||
\(179\) | −9.56990 | + | 16.5756i | −0.715288 | + | 1.23892i | 0.247560 | + | 0.968873i | \(0.420371\pi\) |
−0.962848 | + | 0.270043i | \(0.912962\pi\) | |||||||
\(180\) | 5.21956 | − | 21.1741i | 0.389043 | − | 1.57822i | ||||
\(181\) | 6.05191 | − | 1.06712i | 0.449835 | − | 0.0793181i | 0.0558589 | − | 0.998439i | \(-0.482210\pi\) |
0.393976 | + | 0.919121i | \(0.371099\pi\) | |||||||
\(182\) | −2.11812 | − | 1.22290i | −0.157005 | − | 0.0906471i | ||||
\(183\) | 10.6466 | + | 5.40690i | 0.787018 | + | 0.399690i | ||||
\(184\) | 2.72662 | + | 3.24946i | 0.201009 | + | 0.239553i | ||||
\(185\) | −5.35146 | + | 1.94777i | −0.393447 | + | 0.143203i | ||||
\(186\) | 5.25491 | + | 22.6243i | 0.385309 | + | 1.65890i | ||||
\(187\) | −4.76039 | − | 3.99444i | −0.348114 | − | 0.292102i | ||||
\(188\) | 37.4081 | + | 6.59606i | 2.72827 | + | 0.481067i | ||||
\(189\) | −2.49472 | − | 15.3546i | −0.181464 | − | 1.11688i | ||||
\(190\) | 4.86070 | + | 16.8684i | 0.352633 | + | 1.22377i | ||||
\(191\) | − | 26.3867i | − | 1.90927i | −0.297773 | − | 0.954637i | \(-0.596244\pi\) | ||
0.297773 | − | 0.954637i | \(-0.403756\pi\) | |||||||
\(192\) | 2.45999 | + | 5.77404i | 0.177535 | + | 0.416705i | ||||
\(193\) | −5.01339 | + | 5.97472i | −0.360871 | + | 0.430070i | −0.915680 | − | 0.401908i | \(-0.868347\pi\) |
0.554809 | + | 0.831978i | \(0.312792\pi\) | |||||||
\(194\) | 16.3883 | − | 45.0264i | 1.17661 | − | 3.23271i | ||||
\(195\) | 0.514273 | − | 0.684353i | 0.0368279 | − | 0.0490076i | ||||
\(196\) | 7.00142 | − | 5.87489i | 0.500102 | − | 0.419635i | ||||
\(197\) | −20.9467 | + | 12.0936i | −1.49239 | + | 0.861630i | −0.999962 | − | 0.00872425i | \(-0.997223\pi\) |
−0.492426 | + | 0.870355i | \(0.663890\pi\) | |||||||
\(198\) | 7.64267 | − | 5.58381i | 0.543141 | − | 0.396824i | ||||
\(199\) | −0.711595 | − | 4.03566i | −0.0504437 | − | 0.286080i | 0.949142 | − | 0.314847i | \(-0.101953\pi\) |
−0.999586 | + | 0.0287666i | \(0.990842\pi\) | |||||||
\(200\) | −3.05191 | − | 17.3082i | −0.215803 | − | 1.22388i | ||||
\(201\) | −15.7490 | + | 0.846353i | −1.11085 | + | 0.0596972i | ||||
\(202\) | 34.5047 | − | 19.9213i | 2.42774 | − | 1.40166i | ||||
\(203\) | 2.70558 | − | 2.27025i | 0.189895 | − | 0.159341i | ||||
\(204\) | 32.7707 | + | 24.6263i | 2.29441 | + | 1.72418i | ||||
\(205\) | 0.0823207 | − | 0.226174i | 0.00574952 | − | 0.0157967i | ||||
\(206\) | −12.3028 | + | 14.6619i | −0.857174 | + | 1.02154i | ||||
\(207\) | −1.03388 | + | 1.54161i | −0.0718595 | + | 0.107149i | ||||
\(208\) | 2.65168i | 0.183861i | ||||||||
\(209\) | −2.16164 | + | 4.87216i | −0.149524 | + | 0.337015i | ||||
\(210\) | 11.3970 | + | 17.4989i | 0.786468 | + | 1.20754i | ||||
\(211\) | 9.83078 | + | 1.73343i | 0.676779 | + | 0.119334i | 0.501465 | − | 0.865178i | \(-0.332795\pi\) |
0.175314 | + | 0.984512i | \(0.443906\pi\) | |||||||
\(212\) | 10.9464 | + | 9.18513i | 0.751802 | + | 0.630837i | ||||
\(213\) | −23.2499 | + | 5.40020i | −1.59305 | + | 0.370016i | ||||
\(214\) | 33.0718 | − | 12.0372i | 2.26074 | − | 0.822843i | ||||
\(215\) | 9.59958 | + | 11.4403i | 0.654686 | + | 0.780224i | ||||
\(216\) | −27.5950 | + | 22.5287i | −1.87760 | + | 1.53289i | ||||
\(217\) | −13.4750 | − | 7.77977i | −0.914740 | − | 0.528125i | ||||
\(218\) | 3.29472 | − | 0.580948i | 0.223147 | − | 0.0393468i | ||||
\(219\) | 0.517782 | + | 0.553777i | 0.0349885 | + | 0.0374208i | ||||
\(220\) | −4.44454 | + | 7.69817i | −0.299651 | + | 0.519010i | ||||
\(221\) | 0.804555 | + | 1.39353i | 0.0541202 | + | 0.0937390i | ||||
\(222\) | 15.5986 | + | 4.74633i | 1.04691 | + | 0.318553i | ||||
\(223\) | 3.65141 | + | 10.0322i | 0.244516 | + | 0.671803i | 0.999864 | + | 0.0164789i | \(0.00524564\pi\) |
−0.755348 | + | 0.655324i | \(0.772532\pi\) | |||||||
\(224\) | −22.2129 | − | 8.08482i | −1.48416 | − | 0.540190i | ||||
\(225\) | 6.90342 | − | 3.38976i | 0.460228 | − | 0.225984i | ||||
\(226\) | −3.07433 | + | 17.4354i | −0.204502 | + | 1.15979i | ||||
\(227\) | 0.519141 | 0.0344566 | 0.0172283 | − | 0.999852i | \(-0.494516\pi\) | ||||
0.0172283 | + | 0.999852i | \(0.494516\pi\) | |||||||
\(228\) | 12.5140 | − | 32.8581i | 0.828761 | − | 2.17608i | ||||
\(229\) | −3.84464 | −0.254061 | −0.127030 | − | 0.991899i | \(-0.540545\pi\) | ||||
−0.127030 | + | 0.991899i | \(0.540545\pi\) | |||||||
\(230\) | 0.432705 | − | 2.45399i | 0.0285317 | − | 0.161811i | ||||
\(231\) | −0.764378 | + | 6.29449i | −0.0502924 | + | 0.414147i | ||||
\(232\) | −7.60031 | − | 2.76629i | −0.498985 | − | 0.181616i | ||||
\(233\) | −6.29055 | − | 17.2831i | −0.412107 | − | 1.13226i | −0.956068 | − | 0.293145i | \(-0.905298\pi\) |
0.543960 | − | 0.839111i | \(-0.316924\pi\) | |||||||
\(234\) | −2.35415 | + | 0.681818i | −0.153896 | + | 0.0445718i | ||||
\(235\) | −6.36565 | − | 11.0256i | −0.415249 | − | 0.719233i | ||||
\(236\) | −6.28726 | + | 10.8899i | −0.409266 | + | 0.708869i | ||||
\(237\) | 1.85043 | − | 1.73016i | 0.120198 | − | 0.112386i | ||||
\(238\) | −38.6576 | + | 6.81637i | −2.50580 | + | 0.441840i | ||||
\(239\) | 14.2757 | + | 8.24205i | 0.923415 | + | 0.533134i | 0.884723 | − | 0.466117i | \(-0.154347\pi\) |
0.0386922 | + | 0.999251i | \(0.487681\pi\) | |||||||
\(240\) | 10.2520 | − | 20.1869i | 0.661763 | − | 1.30306i | ||||
\(241\) | −7.68280 | − | 9.15600i | −0.494893 | − | 0.589790i | 0.459562 | − | 0.888146i | \(-0.348006\pi\) |
−0.954455 | + | 0.298356i | \(0.903562\pi\) | |||||||
\(242\) | 23.0445 | − | 8.38752i | 1.48136 | − | 0.539170i | ||||
\(243\) | −12.8284 | − | 8.85614i | −0.822945 | − | 0.568122i | ||||
\(244\) | 24.5950 | + | 20.6376i | 1.57453 | + | 1.32119i | ||||
\(245\) | −3.01677 | − | 0.531938i | −0.192734 | − | 0.0339843i | ||||
\(246\) | −0.577432 | + | 0.376081i | −0.0368157 | + | 0.0239780i | ||||
\(247\) | 0.957466 | − | 0.994070i | 0.0609221 | − | 0.0632511i | ||||
\(248\) | 35.6316i | 2.26261i | ||||||||
\(249\) | 17.4110 | − | 7.41784i | 1.10338 | − | 0.470087i | ||||
\(250\) | −19.5801 | + | 23.3346i | −1.23835 | + | 1.47581i | ||||
\(251\) | 3.07435 | − | 8.44670i | 0.194051 | − | 0.533151i | −0.804063 | − | 0.594545i | \(-0.797332\pi\) |
0.998114 | + | 0.0613939i | \(0.0195546\pi\) | |||||||
\(252\) | 2.80679 | − | 41.7324i | 0.176811 | − | 2.62890i | ||||
\(253\) | 0.579589 | − | 0.486333i | 0.0364385 | − | 0.0305755i | ||||
\(254\) | 6.96338 | − | 4.02031i | 0.436921 | − | 0.252257i | ||||
\(255\) | −0.737284 | − | 13.7194i | −0.0461705 | − | 0.859141i | ||||
\(256\) | −4.14494 | − | 23.5071i | −0.259059 | − | 1.46919i | ||||
\(257\) | −2.19345 | − | 12.4397i | −0.136824 | − | 0.775965i | −0.973572 | − | 0.228378i | \(-0.926658\pi\) |
0.836749 | − | 0.547587i | \(-0.184453\pi\) | |||||||
\(258\) | −2.29449 | − | 42.6959i | −0.142849 | − | 2.65813i | ||||
\(259\) | −9.45925 | + | 5.46130i | −0.587769 | + | 0.339349i | ||||
\(260\) | 1.76323 | − | 1.47952i | 0.109351 | − | 0.0917561i | ||||
\(261\) | 0.237503 | − | 3.53129i | 0.0147011 | − | 0.218581i | ||||
\(262\) | −3.23544 | + | 8.88930i | −0.199886 | + | 0.549183i | ||||
\(263\) | −0.255221 | + | 0.304161i | −0.0157376 | + | 0.0187553i | −0.773856 | − | 0.633362i | \(-0.781675\pi\) |
0.758118 | + | 0.652117i | \(0.226119\pi\) | |||||||
\(264\) | 13.3585 | − | 5.69132i | 0.822161 | − | 0.350277i | ||||
\(265\) | − | 4.78935i | − | 0.294207i | ||||||
\(266\) | 14.7990 | + | 30.2426i | 0.907387 | + | 1.85429i | ||||
\(267\) | −11.4123 | + | 7.43280i | −0.698421 | + | 0.454880i | ||||
\(268\) | −41.7625 | − | 7.36385i | −2.55105 | − | 0.449819i | ||||
\(269\) | 14.7929 | + | 12.4127i | 0.901936 | + | 0.756814i | 0.970568 | − | 0.240828i | \(-0.0774189\pi\) |
−0.0686317 | + | 0.997642i | \(0.521863\pi\) | |||||||
\(270\) | 20.5580 | + | 3.91109i | 1.25112 | + | 0.238021i | ||||
\(271\) | −0.628030 | + | 0.228584i | −0.0381501 | + | 0.0138855i | −0.361025 | − | 0.932556i | \(-0.617573\pi\) |
0.322875 | + | 0.946442i | \(0.395351\pi\) | |||||||
\(272\) | 27.3559 | + | 32.6015i | 1.65870 | + | 1.97676i | ||||
\(273\) | 0.743446 | − | 1.46390i | 0.0449954 | − | 0.0885992i | ||||
\(274\) | −35.3119 | − | 20.3873i | −2.13327 | − | 1.23164i | ||||
\(275\) | −3.08718 | + | 0.544354i | −0.186164 | + | 0.0328258i | ||||
\(276\) | −3.64560 | + | 3.40865i | −0.219439 | + | 0.205176i | ||||
\(277\) | 9.43326 | − | 16.3389i | 0.566790 | − | 0.981709i | −0.430091 | − | 0.902786i | \(-0.641518\pi\) |
0.996881 | − | 0.0789232i | \(-0.0251482\pi\) | |||||||
\(278\) | −9.42557 | − | 16.3256i | −0.565308 | − | 0.979143i | ||||
\(279\) | −14.9766 | + | 4.33756i | −0.896623 | + | 0.259683i | ||||
\(280\) | 10.9571 | + | 30.1045i | 0.654813 | + | 1.79909i | ||||
\(281\) | −12.1777 | − | 4.43233i | −0.726463 | − | 0.264411i | −0.0477960 | − | 0.998857i | \(-0.515220\pi\) |
−0.678667 | + | 0.734446i | \(0.737442\pi\) | |||||||
\(282\) | −4.39409 | + | 36.1844i | −0.261665 | + | 2.15475i | ||||
\(283\) | −2.29514 | + | 13.0164i | −0.136432 | + | 0.773742i | 0.837420 | + | 0.546559i | \(0.184063\pi\) |
−0.973852 | + | 0.227183i | \(0.927048\pi\) | |||||||
\(284\) | −64.1780 | −3.80827 | ||||||||
\(285\) | −11.1324 | + | 3.86596i | −0.659426 | + | 0.229000i | ||||
\(286\) | 0.999006 | 0.0590724 | ||||||||
\(287\) | 0.0801617 | − | 0.454619i | 0.00473179 | − | 0.0268353i | ||||
\(288\) | −21.2628 | + | 10.4406i | −1.25292 | + | 0.615218i | ||||
\(289\) | 8.29328 | + | 3.01851i | 0.487840 | + | 0.177559i | ||||
\(290\) | 1.62503 | + | 4.46474i | 0.0954253 | + | 0.262179i | ||||
\(291\) | 30.7731 | + | 9.36359i | 1.80395 | + | 0.548903i | ||||
\(292\) | 1.01923 | + | 1.76536i | 0.0596460 | + | 0.103310i | ||||
\(293\) | −2.19757 | + | 3.80631i | −0.128384 | + | 0.222367i | −0.923051 | − | 0.384679i | \(-0.874312\pi\) |
0.794667 | + | 0.607046i | \(0.207646\pi\) | |||||||
\(294\) | 5.98991 | + | 6.40630i | 0.349339 | + | 0.373623i | ||||
\(295\) | 4.15051 | − | 0.731847i | 0.241652 | − | 0.0426098i | ||||
\(296\) | 21.6618 | + | 12.5065i | 1.25907 | + | 0.726924i | ||||
\(297\) | 4.01834 | + | 4.92199i | 0.233168 | + | 0.285603i | ||||
\(298\) | 9.27072 | + | 11.0484i | 0.537038 | + | 0.640017i | ||||
\(299\) | −0.184098 | + | 0.0670063i | −0.0106467 | + | 0.00387507i | ||||
\(300\) | 20.1426 | − | 4.67849i | 1.16293 | − | 0.270112i | ||||
\(301\) | 21.9421 | + | 18.4116i | 1.26472 | + | 1.06123i | ||||
\(302\) | −48.6988 | − | 8.58691i | −2.80230 | − | 0.494121i | ||||
\(303\) | 14.5969 | + | 22.4120i | 0.838570 | + | 1.28754i | ||||
\(304\) | 20.3732 | − | 30.2894i | 1.16848 | − | 1.73722i | ||||
\(305\) | − | 10.7610i | − | 0.616171i | ||||||
\(306\) | −21.9096 | + | 32.6693i | −1.25249 | + | 1.86758i | ||||
\(307\) | 15.1110 | − | 18.0086i | 0.862431 | − | 1.02781i | −0.136876 | − | 0.990588i | \(-0.543706\pi\) |
0.999307 | − | 0.0372172i | \(-0.0118493\pi\) | |||||||
\(308\) | −5.83106 | + | 16.0207i | −0.332256 | + | 0.912865i | ||||
\(309\) | −10.2715 | − | 7.71878i | −0.584327 | − | 0.439106i | ||||
\(310\) | 16.0345 | − | 13.4545i | 0.910696 | − | 0.764165i | ||||
\(311\) | 8.52818 | − | 4.92375i | 0.483589 | − | 0.279200i | −0.238322 | − | 0.971186i | \(-0.576597\pi\) |
0.721911 | + | 0.691986i | \(0.243264\pi\) | |||||||
\(312\) | −3.75448 | + | 0.201767i | −0.212555 | + | 0.0114228i | ||||
\(313\) | −1.00653 | − | 5.70833i | −0.0568926 | − | 0.322654i | 0.943058 | − | 0.332629i | \(-0.107936\pi\) |
−0.999950 | + | 0.00997537i | \(0.996825\pi\) | |||||||
\(314\) | −6.44824 | − | 36.5698i | −0.363895 | − | 2.06375i | ||||
\(315\) | −11.3195 | + | 8.27018i | −0.637784 | + | 0.465972i | ||||
\(316\) | 5.89890 | − | 3.40573i | 0.331839 | − | 0.191587i | ||||
\(317\) | 4.09664 | − | 3.43749i | 0.230090 | − | 0.193069i | −0.520452 | − | 0.853891i | \(-0.674237\pi\) |
0.750543 | + | 0.660822i | \(0.229792\pi\) | |||||||
\(318\) | −8.23759 | + | 10.9619i | −0.461941 | + | 0.614714i | ||||
\(319\) | −0.493409 | + | 1.35563i | −0.0276256 | + | 0.0759007i | ||||
\(320\) | 3.63565 | − | 4.33280i | 0.203239 | − | 0.242211i | ||||
\(321\) | 9.26029 | + | 21.7355i | 0.516859 | + | 1.21316i | ||||
\(322\) | − | 4.77926i | − | 0.266338i | ||||||
\(323\) | 1.51646 | − | 22.0994i | 0.0843779 | − | 1.22965i | ||||
\(324\) | −28.2111 | − | 30.9987i | −1.56729 | − | 1.72215i | ||||
\(325\) | 0.799392 | + | 0.140954i | 0.0443423 | + | 0.00781875i | ||||
\(326\) | −3.76256 | − | 3.15716i | −0.208389 | − | 0.174859i | ||||
\(327\) | 0.508118 | + | 2.18764i | 0.0280990 | + | 0.120977i | ||||
\(328\) | −0.993393 | + | 0.361565i | −0.0548509 | + | 0.0199641i | ||||
\(329\) | −15.6957 | − | 18.7054i | −0.865330 | − | 1.03126i | ||||
\(330\) | −7.60532 | − | 3.86239i | −0.418659 | − | 0.212617i | ||||
\(331\) | −4.46270 | − | 2.57654i | −0.245292 | − | 0.141620i | 0.372314 | − | 0.928107i | \(-0.378564\pi\) |
−0.617607 | + | 0.786487i | \(0.711898\pi\) | |||||||
\(332\) | 50.1130 | − | 8.83628i | 2.75031 | − | 0.484954i | ||||
\(333\) | −2.61970 | + | 10.6273i | −0.143559 | + | 0.582372i | ||||
\(334\) | −17.0355 | + | 29.5064i | −0.932144 | + | 1.61452i | ||||
\(335\) | 7.10662 | + | 12.3090i | 0.388276 | + | 0.672514i | ||||
\(336\) | 12.6409 | − | 41.5439i | 0.689618 | − | 2.26641i | ||||
\(337\) | 10.8959 | + | 29.9364i | 0.593540 | + | 1.63074i | 0.763884 | + | 0.645353i | \(0.223290\pi\) |
−0.170344 | + | 0.985385i | \(0.554488\pi\) | |||||||
\(338\) | 31.2759 | + | 11.3835i | 1.70119 | + | 0.619181i | ||||
\(339\) | −11.7983 | − | 1.43274i | −0.640796 | − | 0.0778157i | ||||
\(340\) | 6.41487 | − | 36.3805i | 0.347895 | − | 1.97301i | ||||
\(341\) | 6.35543 | 0.344166 | ||||||||
\(342\) | 32.1294 | + | 10.2990i | 1.73736 | + | 0.556908i | ||||
\(343\) | 15.0809 | 0.814294 | ||||||||
\(344\) | 11.3902 | − | 64.5973i | 0.614121 | − | 3.48285i | ||||
\(345\) | 1.66058 | + | 0.201654i | 0.0894027 | + | 0.0108567i | ||||
\(346\) | −33.2178 | − | 12.0903i | −1.78580 | − | 0.649979i | ||||
\(347\) | 4.16813 | + | 11.4518i | 0.223757 | + | 0.614767i | 0.999875 | − | 0.0158208i | \(-0.00503613\pi\) |
−0.776118 | + | 0.630588i | \(0.782814\pi\) | |||||||
\(348\) | 2.77021 | − | 9.10420i | 0.148499 | − | 0.488037i | ||||
\(349\) | 7.60525 | + | 13.1727i | 0.407100 | + | 0.705117i | 0.994563 | − | 0.104133i | \(-0.0332069\pi\) |
−0.587464 | + | 0.809250i | \(0.699874\pi\) | |||||||
\(350\) | −9.90092 | + | 17.1489i | −0.529227 | + | 0.916647i | ||||
\(351\) | −0.541852 | − | 1.55351i | −0.0289219 | − | 0.0829200i | ||||
\(352\) | 9.50864 | − | 1.67663i | 0.506812 | − | 0.0893647i | ||||
\(353\) | 11.6828 | + | 6.74506i | 0.621812 | + | 0.359003i | 0.777574 | − | 0.628791i | \(-0.216450\pi\) |
−0.155762 | + | 0.987795i | \(0.549783\pi\) | |||||||
\(354\) | −10.7585 | − | 5.46374i | −0.571809 | − | 0.290395i | ||||
\(355\) | 13.8265 | + | 16.4778i | 0.733835 | + | 0.874550i | ||||
\(356\) | −34.4111 | + | 12.5246i | −1.82379 | + | 0.663804i | ||||
\(357\) | −5.96184 | − | 25.6679i | −0.315534 | − | 1.35849i | ||||
\(358\) | −37.8299 | − | 31.7430i | −1.99937 | − | 1.67767i | ||||
\(359\) | −17.2391 | − | 3.03973i | −0.909847 | − | 0.160431i | −0.300913 | − | 0.953652i | \(-0.597291\pi\) |
−0.608934 | + | 0.793221i | \(0.708403\pi\) | |||||||
\(360\) | 29.3625 | + | 12.9796i | 1.54754 | + | 0.684087i | ||||
\(361\) | −18.5745 | + | 3.99866i | −0.977603 | + | 0.210456i | ||||
\(362\) | 15.8557i | 0.833355i | ||||||||
\(363\) | 6.45259 | + | 15.1454i | 0.338673 | + | 0.794926i | ||||
\(364\) | 2.83766 | − | 3.38180i | 0.148734 | − | 0.177254i | ||||
\(365\) | 0.233675 | − | 0.642018i | 0.0122311 | − | 0.0336047i | ||||
\(366\) | −18.5087 | + | 24.6299i | −0.967464 | + | 1.28742i | ||||
\(367\) | −0.400474 | + | 0.336037i | −0.0209046 | + | 0.0175410i | −0.653180 | − | 0.757203i | \(-0.726566\pi\) |
0.632275 | + | 0.774744i | \(0.282121\pi\) | |||||||
\(368\) | −4.48738 | + | 2.59079i | −0.233921 | + | 0.135054i | ||||
\(369\) | −0.272901 | − | 0.373525i | −0.0142067 | − | 0.0194449i | ||||
\(370\) | −2.55153 | − | 14.4704i | −0.132648 | − | 0.752281i | ||||
\(371\) | −1.59509 | − | 9.04622i | −0.0828131 | − | 0.469656i | ||||
\(372\) | −41.8633 | + | 2.24974i | −2.17051 | + | 0.116644i | ||||
\(373\) | 2.06421 | − | 1.19177i | 0.106881 | − | 0.0617078i | −0.445607 | − | 0.895229i | \(-0.647012\pi\) |
0.552488 | + | 0.833521i | \(0.313679\pi\) | |||||||
\(374\) | 12.2825 | − | 10.3062i | 0.635111 | − | 0.532921i | ||||
\(375\) | −16.3473 | − | 12.2846i | −0.844173 | − | 0.634373i | ||||
\(376\) | −19.1251 | + | 52.5456i | −0.986299 | + | 2.70983i | ||||
\(377\) | 0.240116 | − | 0.286159i | 0.0123666 | − | 0.0147379i | ||||
\(378\) | 40.1329 | + | 0.540505i | 2.06421 | + | 0.0278006i | ||||
\(379\) | − | 18.6924i | − | 0.960166i | −0.877223 | − | 0.480083i | \(-0.840607\pi\) | ||
0.877223 | − | 0.480083i | \(-0.159393\pi\) | |||||||
\(380\) | −31.5083 | + | 3.35310i | −1.61634 | + | 0.172010i | ||||
\(381\) | 2.94580 | + | 4.52296i | 0.150918 | + | 0.231718i | ||||
\(382\) | 67.0470 | + | 11.8222i | 3.43042 | + | 0.604876i | ||||
\(383\) | −25.4328 | − | 21.3407i | −1.29956 | − | 1.09046i | −0.990222 | − | 0.139503i | \(-0.955449\pi\) |
−0.309334 | − | 0.950953i | \(-0.600106\pi\) | |||||||
\(384\) | 10.8694 | − | 2.52462i | 0.554677 | − | 0.128834i | ||||
\(385\) | 5.36958 | − | 1.95437i | 0.273659 | − | 0.0996038i | ||||
\(386\) | −12.9352 | − | 15.4156i | −0.658386 | − | 0.784634i | ||||
\(387\) | 28.5379 | − | 3.07615i | 1.45066 | − | 0.156369i | ||||
\(388\) | 74.9007 | + | 43.2440i | 3.80251 | + | 2.19538i | ||||
\(389\) | 20.5469 | − | 3.62298i | 1.04177 | − | 0.183692i | 0.373515 | − | 0.927624i | \(-0.378153\pi\) |
0.668255 | + | 0.743932i | \(0.267041\pi\) | |||||||
\(390\) | 1.50849 | + | 1.61335i | 0.0763853 | + | 0.0816953i | ||||
\(391\) | −1.57216 | + | 2.72306i | −0.0795076 | + | 0.137711i | ||||
\(392\) | 6.72727 | + | 11.6520i | 0.339779 | + | 0.588514i | ||||
\(393\) | −6.07535 | − | 1.84860i | −0.306461 | − | 0.0932494i | ||||
\(394\) | −21.3442 | − | 58.6426i | −1.07530 | − | 2.95437i | ||||
\(395\) | −2.14528 | − | 0.780820i | −0.107941 | − | 0.0392873i | ||||
\(396\) | 7.53013 | + | 15.3355i | 0.378403 | + | 0.770637i | ||||
\(397\) | −4.74235 | + | 26.8952i | −0.238012 | + | 1.34983i | 0.598165 | + | 0.801373i | \(0.295897\pi\) |
−0.836177 | + | 0.548460i | \(0.815214\pi\) | |||||||
\(398\) | 10.5732 | 0.529986 | ||||||||
\(399\) | −19.7395 | + | 11.0098i | −0.988213 | + | 0.551177i | ||||
\(400\) | 21.4688 | 1.07344 | ||||||||
\(401\) | −3.70169 | + | 20.9933i | −0.184853 | + | 1.04836i | 0.741290 | + | 0.671185i | \(0.234214\pi\) |
−0.926144 | + | 0.377171i | \(0.876897\pi\) | |||||||
\(402\) | 4.90557 | − | 40.3964i | 0.244668 | − | 2.01479i | ||||
\(403\) | −1.54642 | − | 0.562852i | −0.0770328 | − | 0.0280377i | ||||
\(404\) | 24.5965 | + | 67.5783i | 1.22372 | + | 3.36214i | ||||
\(405\) | −1.88115 | + | 13.9216i | −0.0934753 | + | 0.691770i | ||||
\(406\) | 4.55638 | + | 7.89189i | 0.226129 | + | 0.391668i | ||||
\(407\) | 2.23072 | − | 3.86372i | 0.110573 | − | 0.191517i | ||||
\(408\) | −44.0786 | + | 41.2136i | −2.18222 | + | 2.04038i | ||||
\(409\) | −27.5154 | + | 4.85171i | −1.36055 | + | 0.239902i | −0.805836 | − | 0.592139i | \(-0.798283\pi\) |
−0.554714 | + | 0.832041i | \(0.687172\pi\) | |||||||
\(410\) | 0.537812 | + | 0.310506i | 0.0265607 | + | 0.0153348i | ||||
\(411\) | 12.3943 | − | 24.4052i | 0.611363 | − | 1.20382i | ||||
\(412\) | −22.2063 | − | 26.4645i | −1.09403 | − | 1.30381i | ||||
\(413\) | 7.59583 | − | 2.76466i | 0.373766 | − | 0.136040i | ||||
\(414\) | −3.45392 | − | 3.31772i | −0.169751 | − | 0.163057i | ||||
\(415\) | −13.0651 | − | 10.9629i | −0.641339 | − | 0.538147i | ||||
\(416\) | −2.46216 | − | 0.434145i | −0.120717 | − | 0.0212857i | ||||
\(417\) | 10.6040 | − | 6.90639i | 0.519282 | − | 0.338208i | ||||
\(418\) | −11.4114 | − | 7.67550i | −0.558149 | − | 0.375421i | ||||
\(419\) | 18.7147i | 0.914272i | 0.889397 | + | 0.457136i | \(0.151125\pi\) | ||||
−0.889397 | + | 0.457136i | \(0.848875\pi\) | |||||||
\(420\) | −34.6776 | + | 14.7742i | −1.69210 | + | 0.720907i | ||||
\(421\) | 7.28959 | − | 8.68740i | 0.355273 | − | 0.423398i | −0.558575 | − | 0.829454i | \(-0.688652\pi\) |
0.913848 | + | 0.406056i | \(0.133096\pi\) | |||||||
\(422\) | −8.80910 | + | 24.2028i | −0.428820 | + | 1.17817i | ||||
\(423\) | −24.4140 | − | 1.64201i | −1.18705 | − | 0.0798370i | ||||
\(424\) | −16.1142 | + | 13.5214i | −0.782574 | + | 0.656657i | ||||
\(425\) | 11.2824 | − | 6.51391i | 0.547278 | − | 0.315971i | ||||
\(426\) | −3.30481 | − | 61.4960i | −0.160119 | − | 2.97949i | ||||
\(427\) | −3.58394 | − | 20.3255i | −0.173439 | − | 0.983622i | ||||
\(428\) | 11.0310 | + | 62.5602i | 0.533206 | + | 3.02396i | ||||
\(429\) | 0.0359881 | + | 0.669667i | 0.00173752 | + | 0.0323319i | ||||
\(430\) | −33.3702 | + | 19.2663i | −1.60925 | + | 0.929102i | ||||
\(431\) | 0.337025 | − | 0.282798i | 0.0162339 | − | 0.0136219i | −0.634635 | − | 0.772812i | \(-0.718849\pi\) |
0.650868 | + | 0.759190i | \(0.274405\pi\) | |||||||
\(432\) | −21.2481 | − | 37.9749i | −1.02230 | − | 1.82707i | ||||
\(433\) | 11.3377 | − | 31.1501i | 0.544856 | − | 1.49698i | −0.295713 | − | 0.955277i | \(-0.595557\pi\) |
0.840570 | − | 0.541704i | \(-0.182220\pi\) | |||||||
\(434\) | 25.8052 | − | 30.7534i | 1.23869 | − | 1.47621i | ||||
\(435\) | −2.93433 | + | 1.25015i | −0.140690 | + | 0.0599403i | ||||
\(436\) | 6.03867i | 0.289200i | ||||||||
\(437\) | 2.61773 | + | 0.649056i | 0.125223 | + | 0.0310486i | ||||
\(438\) | −1.63910 | + | 1.06754i | −0.0783192 | + | 0.0510092i | ||||
\(439\) | 5.42779 | + | 0.957066i | 0.259054 | + | 0.0456783i | 0.301667 | − | 0.953413i | \(-0.402457\pi\) |
−0.0426125 | + | 0.999092i | \(0.513568\pi\) | |||||||
\(440\) | −10.0241 | − | 8.41126i | −0.477882 | − | 0.400991i | ||||
\(441\) | −4.07858 | + | 4.24602i | −0.194218 | + | 0.202191i | ||||
\(442\) | −3.90135 | + | 1.41997i | −0.185568 | + | 0.0675413i | ||||
\(443\) | −4.10597 | − | 4.89330i | −0.195080 | − | 0.232488i | 0.659633 | − | 0.751588i | \(-0.270712\pi\) |
−0.854714 | + | 0.519100i | \(0.826267\pi\) | |||||||
\(444\) | −13.3260 | + | 26.2400i | −0.632426 | + | 1.24529i | ||||
\(445\) | 10.6292 | + | 6.13680i | 0.503875 | + | 0.290912i | ||||
\(446\) | −27.1271 | + | 4.78324i | −1.28450 | + | 0.226493i | ||||
\(447\) | −7.07216 | + | 6.61248i | −0.334502 | + | 0.312760i | ||||
\(448\) | 5.42405 | − | 9.39473i | 0.256262 | − | 0.443859i | ||||
\(449\) | 11.0074 | + | 19.0653i | 0.519470 | + | 0.899749i | 0.999744 | + | 0.0226300i | \(0.00720396\pi\) |
−0.480274 | + | 0.877119i | \(0.659463\pi\) | |||||||
\(450\) | 5.52020 | + | 19.0599i | 0.260225 | + | 0.898493i | ||||
\(451\) | 0.0644906 | + | 0.177187i | 0.00303675 | + | 0.00834339i | ||||
\(452\) | −30.0290 | − | 10.9297i | −1.41244 | − | 0.514088i | ||||
\(453\) | 4.00178 | − | 32.9538i | 0.188020 | − | 1.54830i | ||||
\(454\) | −0.232594 | + | 1.31911i | −0.0109162 | + | 0.0619087i | ||||
\(455\) | −1.47963 | −0.0693660 | ||||||||
\(456\) | 44.4366 | + | 26.5414i | 2.08094 | + | 1.24292i | ||||
\(457\) | 6.66744 | 0.311890 | 0.155945 | − | 0.987766i | \(-0.450158\pi\) | ||||
0.155945 | + | 0.987766i | \(0.450158\pi\) | |||||||
\(458\) | 1.72254 | − | 9.76899i | 0.0804889 | − | 0.456475i | ||||
\(459\) | −22.6886 | − | 13.5099i | −1.05901 | − | 0.630587i | ||||
\(460\) | 4.22651 | + | 1.53832i | 0.197062 | + | 0.0717247i | ||||
\(461\) | −5.50703 | − | 15.1304i | −0.256488 | − | 0.704695i | −0.999377 | − | 0.0352807i | \(-0.988767\pi\) |
0.742890 | − | 0.669414i | \(-0.233455\pi\) | |||||||
\(462\) | −15.6515 | − | 4.76240i | −0.728172 | − | 0.221567i | ||||
\(463\) | −19.1725 | − | 33.2078i | −0.891023 | − | 1.54330i | −0.838651 | − | 0.544669i | \(-0.816655\pi\) |
−0.0523713 | − | 0.998628i | \(-0.516678\pi\) | |||||||
\(464\) | 4.93994 | − | 8.55622i | 0.229331 | − | 0.397212i | ||||
\(465\) | 9.59664 | + | 10.2638i | 0.445034 | + | 0.475971i | ||||
\(466\) | 46.7338 | − | 8.24043i | 2.16490 | − | 0.381731i | ||||
\(467\) | 18.0289 | + | 10.4090i | 0.834277 | + | 0.481670i | 0.855315 | − | 0.518109i | \(-0.173364\pi\) |
−0.0210381 | + | 0.999779i | \(0.506697\pi\) | |||||||
\(468\) | −0.474108 | − | 4.39836i | −0.0219156 | − | 0.203314i | ||||
\(469\) | 17.5227 | + | 20.8827i | 0.809121 | + | 0.964273i | ||||
\(470\) | 30.8675 | − | 11.2349i | 1.42381 | − | 0.518225i | ||||
\(471\) | 24.2817 | − | 5.63987i | 1.11884 | − | 0.259871i | ||||
\(472\) | −14.1802 | − | 11.8986i | −0.652696 | − | 0.547677i | ||||
\(473\) | −11.5219 | − | 2.03162i | −0.529777 | − | 0.0934140i | ||||
\(474\) | 3.56716 | + | 5.47700i | 0.163845 | + | 0.251567i | ||||
\(475\) | −8.04828 | − | 7.75193i | −0.369280 | − | 0.355683i | ||||
\(476\) | − | 70.8528i | − | 3.24753i | ||||||
\(477\) | −7.64491 | − | 5.12705i | −0.350036 | − | 0.234751i | ||||
\(478\) | −27.3386 | + | 32.5809i | −1.25044 | + | 1.49021i | ||||
\(479\) | −2.82297 | + | 7.75604i | −0.128985 | + | 0.354383i | −0.987328 | − | 0.158693i | \(-0.949272\pi\) |
0.858343 | + | 0.513076i | \(0.171494\pi\) | |||||||
\(480\) | 17.0656 | + | 12.8244i | 0.778937 | + | 0.585350i | ||||
\(481\) | −0.884965 | + | 0.742574i | −0.0403509 | + | 0.0338584i | ||||
\(482\) | 26.7070 | − | 15.4193i | 1.21647 | − | 0.702331i | ||||
\(483\) | 3.20370 | − | 0.172168i | 0.145774 | − | 0.00783391i | ||||
\(484\) | 7.68645 | + | 43.5920i | 0.349384 | + | 1.98146i | ||||
\(485\) | −5.03366 | − | 28.5473i | −0.228567 | − | 1.29627i | ||||
\(486\) | 28.2505 | − | 28.6284i | 1.28147 | − | 1.29861i | ||||
\(487\) | −22.5542 | + | 13.0217i | −1.02203 | + | 0.590069i | −0.914691 | − | 0.404154i | \(-0.867566\pi\) |
−0.107338 | + | 0.994223i | \(0.534233\pi\) | |||||||
\(488\) | −36.2062 | + | 30.3806i | −1.63898 | + | 1.37527i | ||||
\(489\) | 1.98081 | − | 2.63590i | 0.0895754 | − | 0.119200i | ||||
\(490\) | 2.70325 | − | 7.42711i | 0.122120 | − | 0.335523i | ||||
\(491\) | −24.6341 | + | 29.3577i | −1.11172 | + | 1.32490i | −0.171169 | + | 0.985242i | \(0.554755\pi\) |
−0.940550 | + | 0.339654i | \(0.889690\pi\) | |||||||
\(492\) | −0.487522 | − | 1.14430i | −0.0219792 | − | 0.0515890i | ||||
\(493\) | − | 5.99538i | − | 0.270018i | ||||||
\(494\) | 2.09689 | + | 2.87824i | 0.0943437 | + | 0.129498i | ||||
\(495\) | 2.31511 | − | 5.23725i | 0.104057 | − | 0.235397i | ||||
\(496\) | −42.8640 | − | 7.55807i | −1.92465 | − | 0.339368i | ||||
\(497\) | 31.6037 | + | 26.5187i | 1.41762 | + | 1.18953i | ||||
\(498\) | 11.0475 | + | 47.5638i | 0.495052 | + | 2.13138i | ||||
\(499\) | −22.9331 | + | 8.34698i | −1.02663 | + | 0.373662i | −0.799796 | − | 0.600272i | \(-0.795059\pi\) |
−0.226832 | + | 0.973934i | \(0.572837\pi\) | |||||||
\(500\) | −35.3418 | − | 42.1187i | −1.58053 | − | 1.88360i | ||||
\(501\) | −20.3929 | − | 10.3566i | −0.911086 | − | 0.462697i | ||||
\(502\) | 20.0851 | + | 11.5962i | 0.896443 | + | 0.517562i | ||||
\(503\) | −39.5690 | + | 6.97708i | −1.76429 | + | 0.311093i | −0.959342 | − | 0.282246i | \(-0.908921\pi\) |
−0.804953 | + | 0.593339i | \(0.797809\pi\) | |||||||
\(504\) | 59.7834 | + | 14.7370i | 2.66296 | + | 0.656440i | ||||
\(505\) | 12.0517 | − | 20.8742i | 0.536295 | − | 0.928891i | ||||
\(506\) | 0.976067 | + | 1.69060i | 0.0433915 | + | 0.0751562i | ||||
\(507\) | −6.50407 | + | 21.3754i | −0.288856 | + | 0.949314i | ||||
\(508\) | 4.96381 | + | 13.6380i | 0.220233 | + | 0.605086i | ||||
\(509\) | 33.9250 | + | 12.3477i | 1.50370 | + | 0.547302i | 0.957016 | − | 0.290036i | \(-0.0936672\pi\) |
0.546685 | + | 0.837338i | \(0.315889\pi\) | |||||||
\(510\) | 35.1905 | + | 4.27339i | 1.55826 | + | 0.189229i | ||||
\(511\) | 0.227547 | − | 1.29048i | 0.0100661 | − | 0.0570876i | ||||
\(512\) | 48.7022 | 2.15236 | ||||||||
\(513\) | −5.74637 | + | 21.9084i | −0.253709 | + | 0.967281i | ||||
\(514\) | 32.5912 | 1.43754 | ||||||||
\(515\) | −2.01066 | + | 11.4030i | −0.0886001 | + | 0.502476i | ||||
\(516\) | 76.6139 | + | 9.30369i | 3.37274 | + | 0.409572i | ||||
\(517\) | 9.37231 | + | 3.41124i | 0.412194 | + | 0.150026i | ||||
\(518\) | −9.63875 | − | 26.4823i | −0.423502 | − | 1.16356i | ||||
\(519\) | 6.90791 | − | 22.7026i | 0.303223 | − | 0.996533i | ||||
\(520\) | 1.69418 | + | 2.93441i | 0.0742949 | + | 0.128683i | ||||
\(521\) | −8.36859 | + | 14.4948i | −0.366635 | + | 0.635030i | −0.989037 | − | 0.147668i | \(-0.952823\pi\) |
0.622402 | + | 0.782697i | \(0.286157\pi\) | |||||||
\(522\) | 8.86638 | + | 2.18563i | 0.388071 | + | 0.0956623i | ||||
\(523\) | −3.12791 | + | 0.551534i | −0.136774 | + | 0.0241169i | −0.241616 | − | 0.970372i | \(-0.577677\pi\) |
0.104842 | + | 0.994489i | \(0.466566\pi\) | |||||||
\(524\) | −14.7872 | − | 8.53740i | −0.645982 | − | 0.372958i | ||||
\(525\) | −11.8522 | − | 6.01916i | −0.517271 | − | 0.262697i | ||||
\(526\) | −0.658506 | − | 0.784777i | −0.0287122 | − | 0.0342179i | ||||
\(527\) | −24.8194 | + | 9.03354i | −1.08115 | + | 0.393507i | ||||
\(528\) | 4.01295 | + | 17.2772i | 0.174641 | + | 0.751895i | ||||
\(529\) | 17.3258 | + | 14.5380i | 0.753294 | + | 0.632089i | ||||
\(530\) | 12.1694 | + | 2.14580i | 0.528607 | + | 0.0932077i | ||||
\(531\) | 3.27497 | − | 7.40862i | 0.142122 | − | 0.321507i | ||||
\(532\) | −58.3967 | + | 16.8272i | −2.53182 | + | 0.729553i | ||||
\(533\) | − | 0.0488250i | − | 0.00211485i | ||||||
\(534\) | −13.7732 | − | 32.3281i | −0.596025 | − | 1.39897i | ||||
\(535\) | 13.6859 | − | 16.3102i | 0.591692 | − | 0.705151i | ||||
\(536\) | 21.3512 | − | 58.6620i | 0.922233 | − | 2.53381i | ||||
\(537\) | 19.9156 | − | 26.5021i | 0.859424 | − | 1.14365i | ||||
\(538\) | −38.1676 | + | 32.0264i | −1.64552 | + | 1.38076i | ||||
\(539\) | 2.07831 | − | 1.19991i | 0.0895190 | − | 0.0516838i | ||||
\(540\) | −13.3958 | + | 35.3173i | −0.576461 | + | 1.51981i | ||||
\(541\) | 0.328535 | + | 1.86322i | 0.0141248 | + | 0.0801059i | 0.991055 | − | 0.133452i | \(-0.0426061\pi\) |
−0.976931 | + | 0.213557i | \(0.931495\pi\) | |||||||
\(542\) | −0.299439 | − | 1.69820i | −0.0128620 | − | 0.0729440i | ||||
\(543\) | −10.6286 | + | 0.571183i | −0.456117 | + | 0.0245118i | ||||
\(544\) | −34.7503 | + | 20.0631i | −1.48991 | + | 0.860198i | ||||
\(545\) | 1.55044 | − | 1.30097i | 0.0664134 | − | 0.0557274i | ||||
\(546\) | 3.38659 | + | 2.54493i | 0.144933 | + | 0.108913i | ||||
\(547\) | −9.41432 | + | 25.8656i | −0.402527 | + | 1.10593i | 0.558506 | + | 0.829501i | \(0.311375\pi\) |
−0.961033 | + | 0.276434i | \(0.910847\pi\) | |||||||
\(548\) | 47.3077 | − | 56.3791i | 2.02089 | − | 2.40840i | ||||
\(549\) | −17.1770 | − | 11.5197i | −0.733096 | − | 0.491650i | ||||
\(550\) | − | 8.08824i | − | 0.344884i | ||||||
\(551\) | −4.94138 | + | 1.42388i | −0.210510 | + | 0.0606592i | ||||
\(552\) | −4.00971 | − | 6.15649i | −0.170665 | − | 0.262038i | ||||
\(553\) | −4.31211 | − | 0.760341i | −0.183370 | − | 0.0323330i | ||||
\(554\) | 37.2897 | + | 31.2898i | 1.58429 | + | 1.32938i | ||||
\(555\) | 9.60810 | − | 2.23166i | 0.407841 | − | 0.0947285i | ||||
\(556\) | 31.9740 | − | 11.6376i | 1.35600 | − | 0.493544i | ||||
\(557\) | 4.41474 | + | 5.26128i | 0.187058 | + | 0.222928i | 0.851421 | − | 0.524483i | \(-0.175741\pi\) |
−0.664363 | + | 0.747410i | \(0.731297\pi\) | |||||||
\(558\) | −4.31145 | − | 39.9979i | −0.182518 | − | 1.69325i | ||||
\(559\) | 2.62362 | + | 1.51475i | 0.110967 | + | 0.0640669i | ||||
\(560\) | −38.5391 | + | 6.79549i | −1.62858 | + | 0.287162i | ||||
\(561\) | 7.35106 | + | 7.86208i | 0.310362 | + | 0.331937i | ||||
\(562\) | 16.7184 | − | 28.9571i | 0.705222 | − | 1.22148i | ||||
\(563\) | −8.11401 | − | 14.0539i | −0.341965 | − | 0.592301i | 0.642833 | − | 0.766007i | \(-0.277759\pi\) |
−0.984798 | + | 0.173706i | \(0.944426\pi\) | |||||||
\(564\) | −62.9430 | − | 19.1522i | −2.65038 | − | 0.806452i | ||||
\(565\) | 3.66324 | + | 10.0647i | 0.154114 | + | 0.423424i | ||||
\(566\) | −32.0455 | − | 11.6636i | −1.34697 | − | 0.490258i | ||||
\(567\) | 1.08343 | + | 26.9219i | 0.0454996 | + | 1.13062i | ||||
\(568\) | 16.4056 | − | 93.0411i | 0.688366 | − | 3.90392i | ||||
\(569\) | −23.4699 | −0.983911 | −0.491956 | − | 0.870620i | \(-0.663718\pi\) | ||||
−0.491956 | + | 0.870620i | \(0.663718\pi\) | |||||||
\(570\) | −4.83547 | − | 30.0188i | −0.202535 | − | 1.25735i | ||||
\(571\) | −12.3766 | −0.517944 | −0.258972 | − | 0.965885i | \(-0.583384\pi\) | ||||
−0.258972 | + | 0.965885i | \(0.583384\pi\) | |||||||
\(572\) | −0.313121 | + | 1.77580i | −0.0130922 | + | 0.0742498i | ||||
\(573\) | −5.50952 | + | 45.3698i | −0.230164 | + | 1.89535i | ||||
\(574\) | 1.11925 | + | 0.407372i | 0.0467164 | + | 0.0170034i | ||||
\(575\) | 0.542503 | + | 1.49051i | 0.0226239 | + | 0.0621587i | ||||
\(576\) | −3.02415 | − | 10.4416i | −0.126006 | − | 0.435068i | ||||
\(577\) | −7.38649 | − | 12.7938i | −0.307504 | − | 0.532612i | 0.670312 | − | 0.742079i | \(-0.266160\pi\) |
−0.977816 | + | 0.209467i | \(0.932827\pi\) | |||||||
\(578\) | −11.3855 | + | 19.7203i | −0.473576 | + | 0.820258i | ||||
\(579\) | 9.86763 | − | 9.22626i | 0.410085 | − | 0.383430i | ||||
\(580\) | −8.44571 | + | 1.48921i | −0.350689 | + | 0.0618360i | ||||
\(581\) | −28.3288 | − | 16.3556i | −1.17528 | − | 0.678546i | ||||
\(582\) | −37.5798 | + | 73.9974i | −1.55773 | + | 3.06729i | ||||
\(583\) | 2.41175 | + | 2.87421i | 0.0998843 | + | 0.119037i | ||||
\(584\) | −2.81984 | + | 1.02634i | −0.116686 | + | 0.0424702i | ||||
\(585\) | −1.02714 | + | 1.06931i | −0.0424672 | + | 0.0442105i | ||||
\(586\) | −8.68702 | − | 7.28927i | −0.358857 | − | 0.301117i | ||||
\(587\) | 16.0113 | + | 2.82322i | 0.660857 | + | 0.116527i | 0.494010 | − | 0.869456i | \(-0.335530\pi\) |
0.166847 | + | 0.985983i | \(0.446642\pi\) | |||||||
\(588\) | −13.2651 | + | 8.63951i | −0.547042 | + | 0.356287i | ||||
\(589\) | 13.3399 | + | 18.3107i | 0.549662 | + | 0.754479i | ||||
\(590\) | 10.8741i | 0.447679i | ||||||||
\(591\) | 38.5412 | − | 16.4202i | 1.58537 | − | 0.675439i | ||||
\(592\) | −19.6398 | + | 23.4058i | −0.807192 | + | 0.961974i | ||||
\(593\) | 1.06316 | − | 2.92101i | 0.0436587 | − | 0.119951i | −0.915947 | − | 0.401299i | \(-0.868559\pi\) |
0.959606 | + | 0.281347i | \(0.0907812\pi\) | |||||||
\(594\) | −14.3068 | + | 8.00513i | −0.587017 | + | 0.328455i | ||||
\(595\) | −18.1915 | + | 15.2645i | −0.745781 | + | 0.625784i | ||||
\(596\) | −22.5450 | + | 13.0164i | −0.923480 | + | 0.533171i | ||||
\(597\) | 0.380888 | + | 7.08757i | 0.0155887 | + | 0.290075i | ||||
\(598\) | −0.0877763 | − | 0.497804i | −0.00358944 | − | 0.0203567i | ||||
\(599\) | 1.76308 | + | 9.99893i | 0.0720375 | + | 0.408545i | 0.999408 | + | 0.0344010i | \(0.0109523\pi\) |
−0.927371 | + | 0.374144i | \(0.877937\pi\) | |||||||
\(600\) | 1.63356 | + | 30.3973i | 0.0666899 | + | 1.24097i | ||||
\(601\) | 8.56591 | − | 4.94553i | 0.349411 | − | 0.201732i | −0.315015 | − | 0.949087i | \(-0.602010\pi\) |
0.664426 | + | 0.747354i | \(0.268676\pi\) | |||||||
\(602\) | −56.6136 | + | 47.5045i | −2.30740 | + | 1.93614i | ||||
\(603\) | 27.2558 | + | 1.83314i | 1.10994 | + | 0.0746511i | ||||
\(604\) | 30.5276 | − | 83.8739i | 1.24215 | − | 3.41278i | ||||
\(605\) | 9.53634 | − | 11.3650i | 0.387707 | − | 0.462052i | ||||
\(606\) | −63.4875 | + | 27.0485i | −2.57900 | + | 1.09877i | ||||
\(607\) | − | 16.5025i | − | 0.669817i | −0.942251 | − | 0.334908i | \(-0.891295\pi\) | ||
0.942251 | − | 0.334908i | \(-0.108705\pi\) | |||||||
\(608\) | 24.7890 | + | 23.8762i | 1.00533 | + | 0.968309i | ||||
\(609\) | −5.12606 | + | 3.33860i | −0.207718 | + | 0.135287i | ||||
\(610\) | 27.3430 | + | 4.82130i | 1.10708 | + | 0.195209i | ||||
\(611\) | −1.97839 | − | 1.66007i | −0.0800371 | − | 0.0671591i | ||||
\(612\) | −51.2046 | − | 49.1854i | −2.06982 | − | 1.98820i | ||||
\(613\) | −13.2779 | + | 4.83276i | −0.536289 | + | 0.195193i | −0.595944 | − | 0.803026i | \(-0.703222\pi\) |
0.0596550 | + | 0.998219i | \(0.481000\pi\) | |||||||
\(614\) | 38.9885 | + | 46.4647i | 1.57345 | + | 1.87516i | ||||
\(615\) | −0.188769 | + | 0.371700i | −0.00761189 | + | 0.0149884i | ||||
\(616\) | −21.7352 | − | 12.5488i | −0.875736 | − | 0.505606i | ||||
\(617\) | 10.3704 | − | 1.82858i | 0.417496 | − | 0.0736158i | 0.0390458 | − | 0.999237i | \(-0.487568\pi\) |
0.378450 | + | 0.925622i | \(0.376457\pi\) | |||||||
\(618\) | 24.2150 | − | 22.6411i | 0.974070 | − | 0.910757i | ||||
\(619\) | −7.21587 | + | 12.4983i | −0.290030 | + | 0.502347i | −0.973817 | − | 0.227335i | \(-0.926999\pi\) |
0.683786 | + | 0.729682i | \(0.260332\pi\) | |||||||
\(620\) | 18.8905 | + | 32.7194i | 0.758663 | + | 1.31404i | ||||
\(621\) | 2.09956 | − | 2.43480i | 0.0842524 | − | 0.0977052i | ||||
\(622\) | 8.69001 | + | 23.8756i | 0.348438 | + | 0.957325i | ||||
\(623\) | 22.1206 | + | 8.05124i | 0.886243 | + | 0.322566i | ||||
\(624\) | 0.553668 | − | 4.55934i | 0.0221645 | − | 0.182520i | ||||
\(625\) | −0.974188 | + | 5.52490i | −0.0389675 | + | 0.220996i | ||||
\(626\) | 14.9555 | 0.597742 | ||||||||
\(627\) | 4.73406 | − | 7.92594i | 0.189060 | − | 0.316532i | ||||
\(628\) | 67.0263 | 2.67464 | ||||||||
\(629\) | −3.21963 | + | 18.2594i | −0.128375 | + | 0.728051i | ||||
\(630\) | −15.9425 | − | 32.4676i | −0.635163 | − | 1.29354i | ||||
\(631\) | 6.27530 | + | 2.28402i | 0.249816 | + | 0.0909254i | 0.463893 | − | 0.885891i | \(-0.346452\pi\) |
−0.214077 | + | 0.976817i | \(0.568674\pi\) | |||||||
\(632\) | 3.42948 | + | 9.42243i | 0.136418 | + | 0.374804i | ||||
\(633\) | −16.5413 | − | 5.03316i | −0.657458 | − | 0.200050i | ||||
\(634\) | 6.89901 | + | 11.9494i | 0.273995 | + | 0.474573i | ||||
\(635\) | 2.43216 | − | 4.21262i | 0.0965173 | − | 0.167173i | ||||
\(636\) | −16.9036 | − | 18.0787i | −0.670272 | − | 0.716867i | ||||
\(637\) | −0.611967 | + | 0.107906i | −0.0242470 | + | 0.00427540i | ||||
\(638\) | −3.22351 | − | 1.86110i | −0.127620 | − | 0.0736815i | ||||
\(639\) | 41.1038 | − | 4.43065i | 1.62604 | − | 0.175274i | ||||
\(640\) | −6.46396 | − | 7.70344i | −0.255510 | − | 0.304505i | ||||
\(641\) | 24.7334 | − | 9.00224i | 0.976912 | − | 0.355567i | 0.196273 | − | 0.980549i | \(-0.437116\pi\) |
0.780639 | + | 0.624982i | \(0.214894\pi\) | |||||||
\(642\) | −59.3777 | + | 13.7915i | −2.34345 | + | 0.544309i | ||||
\(643\) | −3.88657 | − | 3.26122i | −0.153272 | − | 0.128610i | 0.562927 | − | 0.826506i | \(-0.309675\pi\) |
−0.716199 | + | 0.697896i | \(0.754120\pi\) | |||||||
\(644\) | 8.49545 | + | 1.49798i | 0.334768 | + | 0.0590286i | ||||
\(645\) | −14.1170 | − | 21.6751i | −0.555855 | − | 0.853456i | ||||
\(646\) | 55.4739 | + | 13.7546i | 2.18259 | + | 0.541167i | ||||
\(647\) | − | 15.3275i | − | 0.602585i | −0.953532 | − | 0.301293i | \(-0.902582\pi\) | ||
0.953532 | − | 0.301293i | \(-0.0974181\pi\) | |||||||
\(648\) | 52.1514 | − | 32.9745i | 2.04870 | − | 1.29536i | ||||
\(649\) | −2.12229 | + | 2.52925i | −0.0833073 | + | 0.0992818i | ||||
\(650\) | −0.716314 | + | 1.96806i | −0.0280961 | + | 0.0771935i | ||||
\(651\) | 21.5447 | + | 16.1902i | 0.844403 | + | 0.634546i | ||||
\(652\) | 6.79137 | − | 5.69864i | 0.265971 | − | 0.223176i | ||||
\(653\) | −6.35742 | + | 3.67046i | −0.248785 | + | 0.143636i | −0.619208 | − | 0.785227i | \(-0.712546\pi\) |
0.370423 | + | 0.928863i | \(0.379213\pi\) | |||||||
\(654\) | −5.78631 | + | 0.310958i | −0.226263 | + | 0.0121594i | ||||
\(655\) | 0.993767 | + | 5.63593i | 0.0388297 | + | 0.220214i | ||||
\(656\) | −0.224239 | − | 1.27172i | −0.00875506 | − | 0.0496524i | ||||
\(657\) | −0.774657 | − | 1.06029i | −0.0302222 | − | 0.0413657i | ||||
\(658\) | 54.5615 | − | 31.5011i | 2.12703 | − | 1.22804i | ||||
\(659\) | 17.2736 | − | 14.4942i | 0.672882 | − | 0.564615i | −0.241035 | − | 0.970517i | \(-0.577487\pi\) |
0.913917 | + | 0.405901i | \(0.133042\pi\) | |||||||
\(660\) | 9.24940 | − | 12.3084i | 0.360032 | − | 0.479102i | ||||
\(661\) | −4.78873 | + | 13.1569i | −0.186260 | + | 0.511746i | −0.997316 | − | 0.0732238i | \(-0.976671\pi\) |
0.811055 | + | 0.584969i | \(0.198893\pi\) | |||||||
\(662\) | 8.54630 | − | 10.1851i | 0.332161 | − | 0.395854i | ||||
\(663\) | −1.09240 | − | 2.56405i | −0.0424253 | − | 0.0995796i | ||||
\(664\) | 74.9093i | 2.90705i | ||||||||
\(665\) | 16.9014 | + | 11.3682i | 0.655408 | + | 0.440839i | ||||
\(666\) | −25.8296 | − | 11.4179i | −1.00088 | − | 0.442435i | ||||
\(667\) | 0.718863 | + | 0.126755i | 0.0278345 | + | 0.00490797i | ||||
\(668\) | −47.1101 | − | 39.5301i | −1.82274 | − | 1.52946i | ||||
\(669\) | −4.18359 | − | 18.0119i | −0.161747 | − | 0.696380i | ||||
\(670\) | −34.4605 | + | 12.5426i | −1.33133 | + | 0.484563i | ||||
\(671\) | 5.41884 | + | 6.45793i | 0.209192 | + | 0.249305i | ||||
\(672\) | 36.5051 | + | 18.5392i | 1.40822 | + | 0.715166i | ||||
\(673\) | −29.2421 | − | 16.8829i | −1.12720 | − | 0.650789i | −0.183970 | − | 0.982932i | \(-0.558895\pi\) |
−0.943229 | + | 0.332143i | \(0.892228\pi\) | |||||||
\(674\) | −80.9483 | + | 14.2734i | −3.11801 | + | 0.549790i | ||||
\(675\) | −12.5776 | + | 4.38699i | −0.484114 | + | 0.168855i | ||||
\(676\) | −30.0378 | + | 52.0270i | −1.15530 | + | 2.00104i | ||||
\(677\) | −20.9506 | − | 36.2875i | −0.805197 | − | 1.39464i | −0.916158 | − | 0.400817i | \(-0.868726\pi\) |
0.110961 | − | 0.993825i | \(-0.464607\pi\) | |||||||
\(678\) | 8.92657 | − | 29.3369i | 0.342823 | − | 1.12668i | ||||
\(679\) | −19.0154 | − | 52.2443i | −0.729743 | − | 2.00495i | ||||
\(680\) | 51.1023 | + | 18.5997i | 1.95968 | + | 0.713266i | ||||
\(681\) | −0.892620 | − | 0.108396i | −0.0342053 | − | 0.00415375i | ||||
\(682\) | −2.84747 | + | 16.1488i | −0.109035 | + | 0.618369i | ||||
\(683\) | 37.5667 | 1.43745 | 0.718725 | − | 0.695295i | \(-0.244726\pi\) | ||||
0.718725 | + | 0.695295i | \(0.244726\pi\) | |||||||
\(684\) | −28.3776 | + | 53.8840i | −1.08505 | + | 2.06031i | ||||
\(685\) | −24.6674 | −0.942492 | ||||||||
\(686\) | −6.75681 | + | 38.3198i | −0.257976 | + | 1.46305i | ||||
\(687\) | 6.61054 | + | 0.802758i | 0.252208 | + | 0.0306271i | ||||
\(688\) | 75.2929 | + | 27.4044i | 2.87051 | + | 1.04478i | ||||
\(689\) | −0.332287 | − | 0.912951i | −0.0126591 | − | 0.0347807i | ||||
\(690\) | −1.25639 | + | 4.12909i | −0.0478301 | + | 0.157192i | ||||
\(691\) | −2.67694 | − | 4.63659i | −0.101835 | − | 0.176384i | 0.810605 | − | 0.585593i | \(-0.199138\pi\) |
−0.912441 | + | 0.409209i | \(0.865805\pi\) | |||||||
\(692\) | 31.9029 | − | 55.2574i | 1.21277 | − | 2.10057i | ||||
\(693\) | 2.62857 | − | 10.6633i | 0.0998512 | − | 0.405064i | ||||
\(694\) | −30.9659 | + | 5.46013i | −1.17545 | + | 0.207264i | ||||
\(695\) | −9.87645 | − | 5.70217i | −0.374635 | − | 0.216296i | ||||
\(696\) | 12.4905 | + | 6.34335i | 0.473452 | + | 0.240444i | ||||
\(697\) | −0.503702 | − | 0.600288i | −0.0190791 | − | 0.0227375i | ||||
\(698\) | −36.8784 | + | 13.4226i | −1.39587 | + | 0.508055i | ||||
\(699\) | 7.20738 | + | 31.0304i | 0.272608 | + | 1.17368i | ||||
\(700\) | −27.3800 | − | 22.9746i | −1.03487 | − | 0.868357i | ||||
\(701\) | −23.4648 | − | 4.13747i | −0.886251 | − | 0.156270i | −0.288050 | − | 0.957616i | \(-0.593007\pi\) |
−0.598202 | + | 0.801345i | \(0.704118\pi\) | |||||||
\(702\) | 4.19014 | − | 0.680785i | 0.158147 | − | 0.0256946i | ||||
\(703\) | 15.8140 | − | 1.68292i | 0.596437 | − | 0.0634726i | ||||
\(704\) | 4.43100i | 0.167000i | ||||||||
\(705\) | 8.64308 | + | 20.2868i | 0.325517 | + | 0.764046i | ||||
\(706\) | −22.3731 | + | 26.6632i | −0.842023 | + | 1.00348i | ||||
\(707\) | 15.8114 | − | 43.4415i | 0.594650 | − | 1.63379i | ||||
\(708\) | 13.0842 | − | 17.4114i | 0.491735 | − | 0.654362i | ||||
\(709\) | 33.4374 | − | 28.0573i | 1.25577 | − | 1.05371i | 0.259647 | − | 0.965704i | \(-0.416394\pi\) |
0.996120 | − | 0.0880094i | \(-0.0280505\pi\) | |||||||
\(710\) | −48.0639 | + | 27.7497i | −1.80381 | + | 1.04143i | ||||
\(711\) | −3.54292 | + | 2.58849i | −0.132870 | + | 0.0970761i | ||||
\(712\) | −9.36095 | − | 53.0886i | −0.350817 | − | 1.98958i | ||||
\(713\) | −0.558412 | − | 3.16691i | −0.0209127 | − | 0.118602i | ||||
\(714\) | 67.8918 | − | 3.64852i | 2.54079 | − | 0.136543i | ||||
\(715\) | 0.523397 | − | 0.302183i | 0.0195739 | − | 0.0113010i | ||||
\(716\) | 68.2824 | − | 57.2957i | 2.55183 | − | 2.14124i | ||||
\(717\) | −22.8249 | − | 17.1523i | −0.852411 | − | 0.640564i | ||||
\(718\) | 15.4475 | − | 42.4417i | 0.576497 | − | 1.58391i | ||||
\(719\) | −9.49121 | + | 11.3112i | −0.353962 | + | 0.421836i | −0.913417 | − | 0.407025i | \(-0.866566\pi\) |
0.559455 | + | 0.828861i | \(0.311011\pi\) | |||||||
\(720\) | −21.8425 | + | 32.5692i | −0.814021 | + | 1.21378i | ||||
\(721\) | 22.2079i | 0.827065i | ||||||||
\(722\) | −1.83833 | − | 48.9882i | −0.0684154 | − | 1.82315i | ||||
\(723\) | 11.2982 | + | 17.3472i | 0.420184 | + | 0.645148i | ||||
\(724\) | −28.1845 | − | 4.96968i | −1.04747 | − | 0.184697i | ||||
\(725\) | −2.31683 | − | 1.94405i | −0.0860447 | − | 0.0722001i | ||||
\(726\) | −41.3745 | + | 9.60998i | −1.53555 | + | 0.356660i | ||||
\(727\) | −29.6234 | + | 10.7820i | −1.09867 | + | 0.399884i | −0.826826 | − | 0.562457i | \(-0.809856\pi\) |
−0.271845 | + | 0.962341i | \(0.587634\pi\) | |||||||
\(728\) | 4.17732 | + | 4.97834i | 0.154822 | + | 0.184509i | ||||
\(729\) | 20.2083 | + | 17.9060i | 0.748456 | + | 0.663185i | ||||
\(730\) | 1.52663 | + | 0.881402i | 0.0565033 | + | 0.0326222i | ||||
\(731\) | 47.8834 | − | 8.44313i | 1.77103 | − | 0.312280i | ||||
\(732\) | −37.9800 | − | 40.6202i | −1.40378 | − | 1.50137i | ||||
\(733\) | 0.100159 | − | 0.173480i | 0.00369944 | − | 0.00640762i | −0.864170 | − | 0.503200i | \(-0.832156\pi\) |
0.867869 | + | 0.496793i | \(0.165489\pi\) | |||||||
\(734\) | −0.674424 | − | 1.16814i | −0.0248934 | − | 0.0431167i | ||||
\(735\) | 5.07603 | + | 1.54453i | 0.187232 | + | 0.0569707i | ||||
\(736\) | −1.67093 | − | 4.59084i | −0.0615912 | − | 0.169221i | ||||
\(737\) | −10.4633 | − | 3.80831i | −0.385419 | − | 0.140281i | ||||
\(738\) | 1.07137 | − | 0.526073i | 0.0394378 | − | 0.0193650i | ||||
\(739\) | 2.98492 | − | 16.9283i | 0.109802 | − | 0.622719i | −0.879391 | − | 0.476100i | \(-0.842050\pi\) |
0.989193 | − | 0.146619i | \(-0.0468390\pi\) | |||||||
\(740\) | 26.5219 | 0.974963 | ||||||||
\(741\) | −1.85385 | + | 1.50930i | −0.0681028 | + | 0.0554457i | ||||
\(742\) | 23.7006 | 0.870075 | ||||||||
\(743\) | 7.10350 | − | 40.2860i | 0.260602 | − | 1.47795i | −0.520670 | − | 0.853758i | \(-0.674318\pi\) |
0.781272 | − | 0.624191i | \(-0.214571\pi\) | |||||||
\(744\) | 7.43986 | − | 61.2657i | 0.272758 | − | 2.24611i | ||||
\(745\) | 8.19907 | + | 2.98422i | 0.300391 | + | 0.109333i | ||||
\(746\) | 2.10339 | + | 5.77901i | 0.0770104 | + | 0.211584i | ||||
\(747\) | −31.4856 | + | 9.11898i | −1.15200 | + | 0.333646i | ||||
\(748\) | 14.4702 | + | 25.0632i | 0.529084 | + | 0.916400i | ||||
\(749\) | 20.4181 | − | 35.3651i | 0.746059 | − | 1.29221i | ||||
\(750\) | 38.5386 | − | 36.0337i | 1.40723 | − | 1.31576i | ||||
\(751\) | 9.89135 | − | 1.74411i | 0.360941 | − | 0.0636436i | 0.00976278 | − | 0.999952i | \(-0.496892\pi\) |
0.351178 | + | 0.936309i | \(0.385781\pi\) | |||||||
\(752\) | −59.1544 | − | 34.1528i | −2.15714 | − | 1.24542i | ||||
\(753\) | −7.04975 | + | 13.8815i | −0.256907 | + | 0.505870i | ||||
\(754\) | 0.619532 | + | 0.738329i | 0.0225620 | + | 0.0268884i | ||||
\(755\) | −28.1116 | + | 10.2318i | −1.02309 | + | 0.372373i | ||||
\(756\) | −13.5398 | + | 71.1695i | −0.492436 | + | 2.58841i | ||||
\(757\) | 30.7487 | + | 25.8012i | 1.11758 | + | 0.937760i | 0.998480 | − | 0.0551222i | \(-0.0175548\pi\) |
0.119099 | + | 0.992882i | \(0.461999\pi\) | |||||||
\(758\) | 47.4964 | + | 8.37489i | 1.72515 | + | 0.304190i | ||||
\(759\) | −1.09810 | + | 0.715193i | −0.0398586 | + | 0.0259599i | ||||
\(760\) | 3.19327 | − | 46.5357i | 0.115832 | − | 1.68803i | ||||
\(761\) | 13.1199i | 0.475596i | 0.971315 | + | 0.237798i | \(0.0764257\pi\) | ||||
−0.971315 | + | 0.237798i | \(0.923574\pi\) | |||||||
\(762\) | −12.8124 | + | 5.45864i | −0.464144 | + | 0.197746i | ||||
\(763\) | 2.49521 | − | 2.97367i | 0.0903326 | − | 0.107654i | ||||
\(764\) | −42.0294 | + | 115.475i | −1.52057 | + | 4.17774i | ||||
\(765\) | −1.59690 | + | 23.7433i | −0.0577361 | + | 0.858442i | ||||
\(766\) | 65.6202 | − | 55.0619i | 2.37095 | − | 1.98947i | ||||
\(767\) | 0.740399 | − | 0.427470i | 0.0267343 | − | 0.0154350i | ||||
\(768\) | 2.21862 | + | 41.2840i | 0.0800574 | + | 1.48971i | ||||
\(769\) | 2.89735 | + | 16.4317i | 0.104481 | + | 0.592541i | 0.991426 | + | 0.130667i | \(0.0417118\pi\) |
−0.886945 | + | 0.461874i | \(0.847177\pi\) | |||||||
\(770\) | 2.56017 | + | 14.5194i | 0.0922620 | + | 0.523244i | ||||
\(771\) | 1.17406 | + | 21.8470i | 0.0422829 | + | 0.786800i | ||||
\(772\) | 31.4566 | − | 18.1615i | 1.13215 | − | 0.653645i | ||||
\(773\) | −24.3598 | + | 20.4403i | −0.876161 | + | 0.735187i | −0.965386 | − | 0.260825i | \(-0.916005\pi\) |
0.0892248 | + | 0.996012i | \(0.471561\pi\) | |||||||
\(774\) | −4.96969 | + | 73.8913i | −0.178632 | + | 2.65597i | ||||
\(775\) | −4.55702 | + | 12.5203i | −0.163693 | + | 0.449742i | ||||
\(776\) | −81.8389 | + | 97.5318i | −2.93784 | + | 3.50119i | ||||
\(777\) | 17.4047 | − | 7.41518i | 0.624391 | − | 0.266018i | ||||
\(778\) | 53.8317i | 1.92996i | ||||||||
\(779\) | −0.375129 | + | 0.557716i | −0.0134404 | + | 0.0199822i | ||||
\(780\) | −3.34065 | + | 2.17576i | −0.119614 | + | 0.0779047i | ||||
\(781\) | −16.5953 | − | 2.92619i | −0.593826 | − | 0.104707i | ||||
\(782\) | −6.21476 | − | 5.21480i | −0.222239 | − | 0.186481i | ||||
\(783\) | −1.14570 | + | 6.02217i | −0.0409439 | + | 0.215215i | ||||
\(784\) | −15.4440 | + | 5.62116i | −0.551572 | + | 0.200756i | ||||
\(785\) | −14.4401 | − | 17.2091i | −0.515391 | − | 0.614219i | ||||
\(786\) | 7.41916 | − | 14.6089i | 0.264633 | − | 0.521081i | ||||
\(787\) | 35.4572 | + | 20.4712i | 1.26391 | + | 0.729721i | 0.973829 | − | 0.227280i | \(-0.0729833\pi\) |
0.290084 | + | 0.957001i | \(0.406317\pi\) | |||||||
\(788\) | 110.931 | − | 19.5601i | 3.95175 | − | 0.696800i | ||||
\(789\) | 0.502341 | − | 0.469690i | 0.0178838 | − | 0.0167214i | ||||
\(790\) | 2.94518 | − | 5.10120i | 0.104785 | − | 0.181493i | ||||
\(791\) | 10.2712 | + | 17.7903i | 0.365203 | + | 0.632550i | ||||
\(792\) | −24.1573 | + | 6.99652i | −0.858391 | + | 0.248610i | ||||
\(793\) | −0.746600 | − | 2.05127i | −0.0265126 | − | 0.0728427i | ||||
\(794\) | −66.2144 | − | 24.1001i | −2.34986 | − | 0.855280i | ||||
\(795\) | −1.00001 | + | 8.23489i | −0.0354668 | + | 0.292062i | ||||
\(796\) | −3.31398 | + | 18.7945i | −0.117461 | + | 0.666155i | ||||
\(797\) | −33.9496 | −1.20256 | −0.601278 | − | 0.799040i | \(-0.705342\pi\) | ||||
−0.601278 | + | 0.799040i | \(0.705342\pi\) | |||||||
\(798\) | −19.1311 | − | 55.0898i | −0.677234 | − | 1.95016i | ||||
\(799\) | −41.4497 | −1.46639 | ||||||||
\(800\) | −3.51497 | + | 19.9344i | −0.124273 | + | 0.704786i | ||||
\(801\) | 21.1745 | − | 10.3972i | 0.748163 | − | 0.367368i | ||||
\(802\) | −51.6843 | − | 18.8115i | −1.82504 | − | 0.664259i | ||||
\(803\) | 0.183063 | + | 0.502962i | 0.00646016 | + | 0.0177491i | ||||
\(804\) | 70.2696 | + | 21.3815i | 2.47822 | + | 0.754068i | ||||
\(805\) | −1.44565 | − | 2.50394i | −0.0509525 | − | 0.0882524i | ||||
\(806\) | 2.12303 | − | 3.67719i | 0.0747805 | − | 0.129524i | ||||
\(807\) | −22.8434 | − | 24.4313i | −0.804124 | − | 0.860024i | ||||
\(808\) | −104.258 | + | 18.3835i | −3.66778 | + | 0.646729i | ||||
\(809\) | −34.8389 | − | 20.1142i | −1.22487 | − | 0.707179i | −0.258918 | − | 0.965899i | \(-0.583366\pi\) |
−0.965952 | + | 0.258720i | \(0.916699\pi\) | |||||||
\(810\) | −34.5311 | − | 11.0173i | −1.21330 | − | 0.387108i | ||||
\(811\) | 3.57962 | + | 4.26603i | 0.125698 | + | 0.149801i | 0.825223 | − | 0.564807i | \(-0.191050\pi\) |
−0.699525 | + | 0.714608i | \(0.746605\pi\) | |||||||
\(812\) | −15.4565 | + | 5.62569i | −0.542415 | + | 0.197423i | ||||
\(813\) | 1.12758 | − | 0.261900i | 0.0395458 | − | 0.00918523i | ||||
\(814\) | 8.81803 | + | 7.39921i | 0.309072 | + | 0.259342i | ||||
\(815\) | −2.92626 | − | 0.515979i | −0.102503 | − | 0.0180740i | ||||
\(816\) | −40.2291 | − | 61.7676i | −1.40830 | − | 2.16230i | ||||
\(817\) | −18.3309 | − | 37.4602i | −0.641317 | − | 1.31057i | ||||
\(818\) | − | 72.0888i | − | 2.52053i | ||||||
\(819\) | −1.58396 | + | 2.36183i | −0.0553479 | + | 0.0825289i | ||||
\(820\) | −0.720513 | + | 0.858674i | −0.0251614 | + | 0.0299862i | ||||
\(821\) | −14.7571 | + | 40.5449i | −0.515027 | + | 1.41503i | 0.360910 | + | 0.932600i | \(0.382466\pi\) |
−0.875937 | + | 0.482425i | \(0.839756\pi\) | |||||||
\(822\) | 56.4591 | + | 42.4275i | 1.96924 | + | 1.47983i | ||||
\(823\) | −12.3611 | + | 10.3722i | −0.430882 | + | 0.361553i | −0.832284 | − | 0.554349i | \(-0.812967\pi\) |
0.401402 | + | 0.915902i | \(0.368523\pi\) | |||||||
\(824\) | 44.0430 | − | 25.4282i | 1.53431 | − | 0.885834i | ||||
\(825\) | 5.42183 | − | 0.291370i | 0.188764 | − | 0.0101442i | ||||
\(826\) | 3.62162 | + | 20.5392i | 0.126012 | + | 0.714651i | ||||
\(827\) | 4.52142 | + | 25.6422i | 0.157225 | + | 0.891668i | 0.956723 | + | 0.290999i | \(0.0939877\pi\) |
−0.799498 | + | 0.600668i | \(0.794901\pi\) | |||||||
\(828\) | 6.98004 | − | 5.09969i | 0.242573 | − | 0.177227i | ||||
\(829\) | 2.64421 | − | 1.52664i | 0.0918373 | − | 0.0530223i | −0.453378 | − | 0.891318i | \(-0.649781\pi\) |
0.545215 | + | 0.838296i | \(0.316448\pi\) | |||||||
\(830\) | 33.7097 | − | 28.2858i | 1.17008 | − | 0.981814i | ||||
\(831\) | −19.6313 | + | 26.1237i | −0.681002 | + | 0.906223i | ||||
\(832\) | 0.392420 | − | 1.07817i | 0.0136047 | − | 0.0373787i | ||||
\(833\) | −6.41073 | + | 7.64001i | −0.222119 | + | 0.264711i | ||||
\(834\) | 12.7977 | + | 30.0386i | 0.443150 | + | 1.04015i | ||||
\(835\) | 20.6119i | 0.713305i | ||||||||
\(836\) | 17.2204 | − | 17.8787i | 0.595580 | − | 0.618349i | ||||
\(837\) | 26.6567 | − | 4.33099i | 0.921389 | − | 0.149701i | ||||
\(838\) | −47.5529 | − | 8.38486i | −1.64269 | − | 0.289650i | ||||
\(839\) | −15.6775 | − | 13.1550i | −0.541248 | − | 0.454161i | 0.330717 | − | 0.943730i | \(-0.392710\pi\) |
−0.871964 | + | 0.489569i | \(0.837154\pi\) | |||||||
\(840\) | −12.5541 | − | 54.0500i | −0.433158 | − | 1.86490i | ||||
\(841\) | 25.9432 | − | 9.44255i | 0.894593 | − | 0.325605i | ||||
\(842\) | 18.8082 | + | 22.4147i | 0.648172 | + | 0.772461i | ||||
\(843\) | 20.0132 | + | 10.1637i | 0.689290 | + | 0.350058i | ||||
\(844\) | −40.2610 | − | 23.2447i | −1.38584 | − | 0.800116i | ||||
\(845\) | 19.8293 | − | 3.49645i | 0.682150 | − | 0.120281i | ||||
\(846\) | 15.1106 | − | 61.2988i | 0.519513 | − | 2.10749i | ||||
\(847\) | 14.2273 | − | 24.6425i | 0.488857 | − | 0.846726i | ||||
\(848\) | −12.8478 | − | 22.2531i | −0.441196 | − | 0.764174i | ||||
\(849\) | 6.66411 | − | 21.9014i | 0.228712 | − | 0.751653i | ||||
\(850\) | 11.4965 | + | 31.5865i | 0.394328 | + | 1.08341i | ||||
\(851\) | −2.12129 | − | 0.772085i | −0.0727168 | − | 0.0264667i | ||||
\(852\) | 110.349 | + | 13.4003i | 3.78049 | + | 0.459088i | ||||
\(853\) | 3.67736 | − | 20.8553i | 0.125910 | − | 0.714074i | −0.854853 | − | 0.518871i | \(-0.826352\pi\) |
0.980763 | − | 0.195203i | \(-0.0625364\pi\) | |||||||
\(854\) | 53.2517 | 1.82224 | ||||||||
\(855\) | 19.9485 | − | 4.32278i | 0.682223 | − | 0.147836i | ||||
\(856\) | −93.5154 | −3.19629 | ||||||||
\(857\) | −3.52925 | + | 20.0154i | −0.120557 | + | 0.683713i | 0.863291 | + | 0.504707i | \(0.168399\pi\) |
−0.983848 | + | 0.179006i | \(0.942712\pi\) | |||||||
\(858\) | −1.71771 | − | 0.208592i | −0.0586416 | − | 0.00712121i | ||||
\(859\) | 31.7891 | + | 11.5703i | 1.08463 | + | 0.394774i | 0.821630 | − | 0.570022i | \(-0.193065\pi\) |
0.263002 | + | 0.964795i | \(0.415287\pi\) | |||||||
\(860\) | −23.7878 | − | 65.3563i | −0.811156 | − | 2.22863i | ||||
\(861\) | −0.232756 | + | 0.764944i | −0.00793230 | + | 0.0260692i | ||||
\(862\) | 0.567573 | + | 0.983065i | 0.0193316 | + | 0.0334833i | ||||
\(863\) | 14.5264 | − | 25.1605i | 0.494484 | − | 0.856472i | −0.505495 | − | 0.862829i | \(-0.668690\pi\) |
0.999980 | + | 0.00635715i | \(0.00202356\pi\) | |||||||
\(864\) | 38.7396 | − | 13.5121i | 1.31795 | − | 0.459691i | ||||
\(865\) | −21.0606 | + | 3.71354i | −0.716080 | + | 0.126264i | ||||
\(866\) | 74.0710 | + | 42.7649i | 2.51703 | + | 1.45321i | ||||
\(867\) | −13.6294 | − | 6.92171i | −0.462877 | − | 0.235074i | ||||
\(868\) | 46.5781 | + | 55.5096i | 1.58096 | + | 1.88412i | ||||
\(869\) | 1.68063 | − | 0.611700i | 0.0570115 | − | 0.0207505i | ||||
\(870\) | −1.86188 | − | 8.01607i | −0.0631236 | − | 0.271770i | ||||
\(871\) | 2.20868 | + | 1.85330i | 0.0748382 | + | 0.0627967i | ||||
\(872\) | −8.75446 | − | 1.54365i | −0.296463 | − | 0.0522745i | ||||
\(873\) | −50.9567 | − | 22.5253i | −1.72462 | − | 0.762367i | ||||
\(874\) | −2.82205 | + | 6.36068i | −0.0954573 | + | 0.215153i | ||||
\(875\) | 35.3442i | 1.19485i | ||||||||
\(876\) | −1.38388 | − | 3.24821i | −0.0467569 | − | 0.109747i | ||||
\(877\) | −10.5631 | + | 12.5886i | −0.356690 | + | 0.425087i | −0.914313 | − | 0.405007i | \(-0.867269\pi\) |
0.557623 | + | 0.830094i | \(0.311713\pi\) | |||||||
\(878\) | −4.86370 | + | 13.3629i | −0.164142 | + | 0.450976i | ||||
\(879\) | 4.57331 | − | 6.08579i | 0.154254 | − | 0.205269i | ||||
\(880\) | 12.2448 | − | 10.2746i | 0.412773 | − | 0.346358i | ||||
\(881\) | 11.4445 | − | 6.60751i | 0.385577 | − | 0.222613i | −0.294665 | − | 0.955601i | \(-0.595208\pi\) |
0.680242 | + | 0.732988i | \(0.261875\pi\) | |||||||
\(882\) | −8.96153 | − | 12.2658i | −0.301751 | − | 0.413011i | ||||
\(883\) | 3.37508 | + | 19.1410i | 0.113580 | + | 0.644146i | 0.987443 | + | 0.157974i | \(0.0504962\pi\) |
−0.873863 | + | 0.486172i | \(0.838393\pi\) | |||||||
\(884\) | −1.30129 | − | 7.37997i | −0.0437670 | − | 0.248215i | ||||
\(885\) | −7.28928 | + | 0.391728i | −0.245026 | + | 0.0131678i | ||||
\(886\) | 14.2732 | − | 8.24064i | 0.479518 | − | 0.276850i | ||||
\(887\) | −10.2659 | + | 8.61409i | −0.344694 | + | 0.289233i | −0.798655 | − | 0.601789i | \(-0.794455\pi\) |
0.453961 | + | 0.891022i | \(0.350011\pi\) | |||||||
\(888\) | −34.6344 | − | 26.0268i | −1.16226 | − | 0.873404i | ||||
\(889\) | 3.19090 | − | 8.76692i | 0.107019 | − | 0.294033i | ||||
\(890\) | −20.3555 | + | 24.2588i | −0.682319 | + | 0.813156i | ||||
\(891\) | −5.88150 | − | 9.30199i | −0.197038 | − | 0.311628i | ||||
\(892\) | − | 49.7194i | − | 1.66473i | ||||||
\(893\) | 9.84413 | + | 34.1628i | 0.329421 | + | 1.14321i | ||||
\(894\) | −13.6333 | − | 20.9326i | −0.455967 | − | 0.700090i | ||||
\(895\) | −29.4215 | − | 5.18780i | −0.983452 | − | 0.173409i | ||||
\(896\) | −14.7749 | − | 12.3976i | −0.493594 | − | 0.414175i | ||||
\(897\) | 0.330533 | − | 0.0767723i | 0.0110362 | − | 0.00256335i | ||||
\(898\) | −53.3756 | + | 19.4271i | −1.78117 | + | 0.648292i | ||||
\(899\) | 3.94131 | + | 4.69707i | 0.131450 | + | 0.156656i | ||||
\(900\) | −35.6104 | + | 3.83851i | −1.18701 | + | 0.127950i | ||||
\(901\) | −13.5038 | − | 7.79642i | −0.449876 | − | 0.259736i | ||||
\(902\) | −0.479115 | + | 0.0844809i | −0.0159528 | + | 0.00281291i | ||||
\(903\) | −33.8833 | − | 36.2387i | −1.12757 | − | 1.20595i | ||||
\(904\) | 23.5213 | − | 40.7401i | 0.782307 | − | 1.35500i | ||||
\(905\) | 4.79609 | + | 8.30707i | 0.159427 | + | 0.276136i | ||||
\(906\) | 81.9407 | + | 24.9328i | 2.72230 | + | 0.828336i | ||||
\(907\) | 3.51601 | + | 9.66017i | 0.116747 | + | 0.320761i | 0.984279 | − | 0.176622i | \(-0.0565169\pi\) |
−0.867531 | + | 0.497382i | \(0.834295\pi\) | |||||||
\(908\) | −2.27189 | − | 0.826902i | −0.0753954 | − | 0.0274417i | ||||
\(909\) | −20.4186 | − | 41.5835i | −0.677242 | − | 1.37924i | ||||
\(910\) | 0.662927 | − | 3.75964i | 0.0219758 | − | 0.124631i | ||||
\(911\) | −19.5762 | −0.648589 | −0.324294 | − | 0.945956i | \(-0.605127\pi\) | ||||
−0.324294 | + | 0.945956i | \(0.605127\pi\) | |||||||
\(912\) | −41.3545 | + | 47.8263i | −1.36938 | + | 1.58369i | ||||
\(913\) | 13.3612 | 0.442191 | ||||||||
\(914\) | −2.98726 | + | 16.9416i | −0.0988097 | + | 0.560377i | ||||
\(915\) | −2.24688 | + | 18.5026i | −0.0742797 | + | 0.611677i | ||||
\(916\) | 16.8251 | + | 6.12384i | 0.555918 | + | 0.202337i | ||||
\(917\) | 3.75410 | + | 10.3143i | 0.123971 | + | 0.340608i | ||||
\(918\) | 44.4931 | − | 51.5975i | 1.46849 | − | 1.70297i | ||||
\(919\) | 23.2470 | + | 40.2651i | 0.766849 | + | 1.32822i | 0.939263 | + | 0.343197i | \(0.111510\pi\) |
−0.172414 | + | 0.985024i | \(0.555157\pi\) | |||||||
\(920\) | −3.31057 | + | 5.73407i | −0.109146 | + | 0.189047i | ||||
\(921\) | −29.7424 | + | 27.8092i | −0.980044 | + | 0.916343i | ||||
\(922\) | 40.9129 | − | 7.21405i | 1.34739 | − | 0.237582i | ||||
\(923\) | 3.77886 | + | 2.18173i | 0.124383 | + | 0.0718124i | ||||
\(924\) | 13.3712 | − | 26.3288i | 0.439879 | − | 0.866154i | ||||
\(925\) | 6.01209 | + | 7.16493i | 0.197676 | + | 0.235582i | ||||
\(926\) | 92.9690 | − | 33.8379i | 3.05515 | − | 1.11198i | ||||
\(927\) | 16.0494 | + | 15.4165i | 0.527131 | + | 0.506345i | ||||
\(928\) | 7.13591 | + | 5.98774i | 0.234248 | + | 0.196557i | ||||
\(929\) | 30.1221 | + | 5.31134i | 0.988274 | + | 0.174259i | 0.644344 | − | 0.764736i | \(-0.277131\pi\) |
0.343930 | + | 0.938995i | \(0.388242\pi\) | |||||||
\(930\) | −30.3793 | + | 19.7860i | −0.996175 | + | 0.648807i | ||||
\(931\) | 7.81940 | + | 3.46924i | 0.256270 | + | 0.113700i | ||||
\(932\) | 85.6552i | 2.80573i | ||||||||
\(933\) | −15.6916 | + | 6.68531i | −0.513720 | + | 0.218867i | ||||
\(934\) | −34.5262 | + | 41.1467i | −1.12973 | + | 1.34636i | ||||
\(935\) | 3.31754 | − | 9.11486i | 0.108495 | − | 0.298088i | ||||
\(936\) | 6.49765 | + | 0.437011i | 0.212382 | + | 0.0142842i | ||||
\(937\) | 28.6832 | − | 24.0681i | 0.937039 | − | 0.786269i | −0.0400285 | − | 0.999199i | \(-0.512745\pi\) |
0.977068 | + | 0.212929i | \(0.0683004\pi\) | |||||||
\(938\) | −60.9125 | + | 35.1678i | −1.98886 | + | 1.14827i | ||||
\(939\) | 0.538756 | + | 10.0252i | 0.0175816 | + | 0.327159i | ||||
\(940\) | 10.2958 | + | 58.3904i | 0.335812 | + | 1.90448i | ||||
\(941\) | 10.4374 | + | 59.1934i | 0.340249 | + | 1.92965i | 0.367507 | + | 0.930021i | \(0.380211\pi\) |
−0.0272576 | + | 0.999628i | \(0.508677\pi\) | |||||||
\(942\) | 3.45148 | + | 64.2252i | 0.112455 | + | 2.09257i | ||||
\(943\) | 0.0826256 | − | 0.0477039i | 0.00269066 | − | 0.00155345i | ||||
\(944\) | 17.3216 | − | 14.5345i | 0.563769 | − | 0.473059i | ||||
\(945\) | 21.1899 | − | 11.8564i | 0.689306 | − | 0.385689i | ||||
\(946\) | 10.3245 | − | 28.3662i | 0.335677 | − | 0.922265i | ||||
\(947\) | 9.17974 | − | 10.9400i | 0.298302 | − | 0.355502i | −0.595986 | − | 0.802995i | \(-0.703239\pi\) |
0.894287 | + | 0.447493i | \(0.147683\pi\) | |||||||
\(948\) | −10.8538 | + | 4.62419i | −0.352515 | + | 0.150187i | ||||
\(949\) | − | 0.138595i | − | 0.00449897i | ||||||
\(950\) | 23.3031 | − | 16.9771i | 0.756053 | − | 0.550809i | ||||
\(951\) | −7.76159 | + | 5.05511i | −0.251687 | + | 0.163923i | ||||
\(952\) | 102.718 | + | 18.1119i | 3.32910 | + | 0.587010i | ||||
\(953\) | −27.9483 | − | 23.4514i | −0.905334 | − | 0.759665i | 0.0658917 | − | 0.997827i | \(-0.479011\pi\) |
−0.971226 | + | 0.238162i | \(0.923455\pi\) | |||||||
\(954\) | 16.4527 | − | 17.1281i | 0.532676 | − | 0.554544i | ||||
\(955\) | 38.7032 | − | 14.0868i | 1.25240 | − | 0.455838i | ||||
\(956\) | −49.3458 | − | 58.8080i | −1.59596 | − | 1.90199i | ||||
\(957\) | 1.13143 | − | 2.22787i | 0.0365740 | − | 0.0720169i | ||||
\(958\) | −18.4429 | − | 10.6480i | −0.595861 | − | 0.344021i | ||||
\(959\) | −46.5923 | + | 8.21548i | −1.50454 | + | 0.265292i | ||||
\(960\) | −7.15589 | + | 6.69077i | −0.230955 | + | 0.215944i | ||||
\(961\) | −1.99380 | + | 3.45337i | −0.0643162 | + | 0.111399i | ||||
\(962\) | −1.49034 | − | 2.58134i | −0.0480505 | − | 0.0832258i | ||||
\(963\) | −11.3840 | − | 39.3061i | −0.366843 | − | 1.26662i | ||||
\(964\) | 19.0380 | + | 52.3064i | 0.613172 | + | 1.68468i | ||||
\(965\) | −11.4400 | − | 4.16381i | −0.368266 | − | 0.134038i | ||||
\(966\) | −0.997907 | + | 8.21756i | −0.0321071 | + | 0.264396i | ||||
\(967\) | 2.87010 | − | 16.2772i | 0.0922963 | − | 0.523438i | −0.903246 | − | 0.429123i | \(-0.858823\pi\) |
0.995542 | − | 0.0943153i | \(-0.0300662\pi\) | |||||||
\(968\) | −65.1617 | −2.09438 | ||||||||
\(969\) | −7.22178 | + | 37.6816i | −0.231997 | + | 1.21051i | ||||
\(970\) | 74.7923 | 2.40144 | ||||||||
\(971\) | 8.86117 | − | 50.2542i | 0.284369 | − | 1.61273i | −0.423164 | − | 0.906053i | \(-0.639081\pi\) |
0.707532 | − | 0.706681i | \(-0.249808\pi\) | |||||||
\(972\) | 42.0343 | + | 59.1903i | 1.34825 | + | 1.89853i | ||||
\(973\) | −20.5540 | − | 7.48103i | −0.658930 | − | 0.239831i | ||||
\(974\) | −22.9822 | − | 63.1431i | −0.736398 | − | 2.02324i | ||||
\(975\) | −1.34506 | − | 0.409272i | −0.0430764 | − | 0.0131072i | ||||
\(976\) | −28.8672 | − | 49.9995i | −0.924017 | − | 1.60044i | ||||
\(977\) | −3.79775 | + | 6.57789i | −0.121501 | + | 0.210445i | −0.920360 | − | 0.391073i | \(-0.872104\pi\) |
0.798859 | + | 0.601518i | \(0.205437\pi\) | |||||||
\(978\) | 5.81020 | + | 6.21410i | 0.185790 | + | 0.198705i | ||||
\(979\) | −9.46915 | + | 1.66967i | −0.302635 | + | 0.0533628i | ||||
\(980\) | 12.3549 | + | 7.13310i | 0.394662 | + | 0.227858i | ||||
\(981\) | −0.416891 | − | 3.86756i | −0.0133103 | − | 0.123482i | ||||
\(982\) | −63.5593 | − | 75.7470i | −2.02826 | − | 2.41719i | ||||
\(983\) | 29.7553 | − | 10.8301i | 0.949048 | − | 0.345425i | 0.179315 | − | 0.983792i | \(-0.442612\pi\) |
0.769733 | + | 0.638366i | \(0.220390\pi\) | |||||||
\(984\) | 1.78355 | − | 0.414263i | 0.0568576 | − | 0.0132062i | ||||
\(985\) | −28.9210 | − | 24.2676i | −0.921501 | − | 0.773231i | ||||
\(986\) | 15.2339 | + | 2.68615i | 0.485146 | + | 0.0855443i | ||||
\(987\) | 23.0818 | + | 35.4396i | 0.734700 | + | 1.12806i | ||||
\(988\) | −5.77350 | + | 2.82523i | −0.183680 | + | 0.0898825i | ||||
\(989\) | 5.91986i | 0.188241i | ||||||||
\(990\) | 12.2703 | + | 8.22905i | 0.389975 | + | 0.261536i | ||||
\(991\) | 9.88741 | − | 11.7834i | 0.314084 | − | 0.374311i | −0.585788 | − | 0.810464i | \(-0.699215\pi\) |
0.899872 | + | 0.436153i | \(0.143659\pi\) | |||||||
\(992\) | 14.0358 | − | 38.5630i | 0.445637 | − | 1.22438i | ||||
\(993\) | 7.13528 | + | 5.36197i | 0.226431 | + | 0.170157i | ||||
\(994\) | −81.5420 | + | 68.4219i | −2.58636 | + | 2.17021i | ||||
\(995\) | 5.53948 | − | 3.19822i | 0.175613 | − | 0.101390i | ||||
\(996\) | −88.0103 | + | 4.72970i | −2.78871 | + | 0.149866i | ||||
\(997\) | −5.27918 | − | 29.9397i | −0.167193 | − | 0.948201i | −0.946774 | − | 0.321899i | \(-0.895679\pi\) |
0.779581 | − | 0.626302i | \(-0.215432\pi\) | |||||||
\(998\) | −10.9343 | − | 62.0115i | −0.346119 | − | 1.96294i | ||||
\(999\) | 6.72334 | − | 17.7258i | 0.212717 | − | 0.560818i |
(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 | 57.2.j.b.2.1 | ✓ | 24 | |
3.2 | odd | 2 | inner | 57.2.j.b.2.4 | yes | 24 | |
4.3 | odd | 2 | 912.2.cc.e.401.4 | 24 | |||
12.11 | even | 2 | 912.2.cc.e.401.2 | 24 | |||
19.3 | odd | 18 | 1083.2.d.d.1082.23 | 24 | |||
19.10 | odd | 18 | inner | 57.2.j.b.29.4 | yes | 24 | |
19.16 | even | 9 | 1083.2.d.d.1082.1 | 24 | |||
57.29 | even | 18 | inner | 57.2.j.b.29.1 | yes | 24 | |
57.35 | odd | 18 | 1083.2.d.d.1082.24 | 24 | |||
57.41 | even | 18 | 1083.2.d.d.1082.2 | 24 | |||
76.67 | even | 18 | 912.2.cc.e.257.2 | 24 | |||
228.143 | odd | 18 | 912.2.cc.e.257.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.2.j.b.2.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
57.2.j.b.2.4 | yes | 24 | 3.2 | odd | 2 | inner | |
57.2.j.b.29.1 | yes | 24 | 57.29 | even | 18 | inner | |
57.2.j.b.29.4 | yes | 24 | 19.10 | odd | 18 | inner | |
912.2.cc.e.257.2 | 24 | 76.67 | even | 18 | |||
912.2.cc.e.257.4 | 24 | 228.143 | odd | 18 | |||
912.2.cc.e.401.2 | 24 | 12.11 | even | 2 | |||
912.2.cc.e.401.4 | 24 | 4.3 | odd | 2 | |||
1083.2.d.d.1082.1 | 24 | 19.16 | even | 9 | |||
1083.2.d.d.1082.2 | 24 | 57.41 | even | 18 | |||
1083.2.d.d.1082.23 | 24 | 19.3 | odd | 18 | |||
1083.2.d.d.1082.24 | 24 | 57.35 | odd | 18 |