Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(11,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bb (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 23.4 | ||
Character | \(\chi\) | \(=\) | 252.23 |
Dual form | 252.2.bb.a.11.4 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35995 | + | 0.387995i | −0.961629 | + | 0.274354i | ||||
\(3\) | 0.672325 | − | 1.59624i | 0.388167 | − | 0.921589i | ||||
\(4\) | 1.69892 | − | 1.05531i | 0.849459 | − | 0.527654i | ||||
\(5\) | 3.19234 | − | 1.84310i | 1.42766 | − | 0.824258i | 0.430722 | − | 0.902485i | \(-0.358259\pi\) |
0.996936 | + | 0.0782267i | \(0.0249258\pi\) | |||||||
\(6\) | −0.294994 | + | 2.43166i | −0.120431 | + | 0.992722i | ||||
\(7\) | 2.29354 | − | 1.31898i | 0.866875 | − | 0.498526i | ||||
\(8\) | −1.90099 | + | 2.09434i | −0.672101 | + | 0.740460i | ||||
\(9\) | −2.09596 | − | 2.14638i | −0.698653 | − | 0.715461i | ||||
\(10\) | −3.62630 | + | 3.74513i | −1.14674 | + | 1.18431i | ||||
\(11\) | −1.79831 | + | 3.11476i | −0.542210 | + | 0.939136i | 0.456566 | + | 0.889689i | \(0.349079\pi\) |
−0.998777 | + | 0.0494465i | \(0.984254\pi\) | |||||||
\(12\) | −0.542297 | − | 3.42139i | −0.156548 | − | 0.987670i | ||||
\(13\) | −0.565220 | + | 0.978990i | −0.156764 | + | 0.271523i | −0.933700 | − | 0.358057i | \(-0.883440\pi\) |
0.776936 | + | 0.629580i | \(0.216773\pi\) | |||||||
\(14\) | −2.60733 | + | 2.68362i | −0.696839 | + | 0.717228i | ||||
\(15\) | −0.795735 | − | 6.33490i | −0.205458 | − | 1.63566i | ||||
\(16\) | 1.77265 | − | 3.58576i | 0.443163 | − | 0.896441i | ||||
\(17\) | −5.61029 | + | 3.23910i | −1.36069 | + | 0.785597i | −0.989716 | − | 0.143044i | \(-0.954311\pi\) |
−0.370978 | + | 0.928642i | \(0.620978\pi\) | |||||||
\(18\) | 3.68318 | + | 2.10575i | 0.868134 | + | 0.496330i | ||||
\(19\) | 4.20169 | + | 2.42585i | 0.963934 | + | 0.556528i | 0.897382 | − | 0.441255i | \(-0.145467\pi\) |
0.0665524 | + | 0.997783i | \(0.478800\pi\) | |||||||
\(20\) | 3.47849 | − | 6.50017i | 0.777814 | − | 1.45348i | ||||
\(21\) | −0.563399 | − | 4.54781i | −0.122944 | − | 0.992414i | ||||
\(22\) | 1.23709 | − | 4.93365i | 0.263749 | − | 1.05186i | ||||
\(23\) | −0.522364 | − | 0.904760i | −0.108920 | − | 0.188656i | 0.806413 | − | 0.591353i | \(-0.201406\pi\) |
−0.915333 | + | 0.402697i | \(0.868073\pi\) | |||||||
\(24\) | 2.06498 | + | 4.44251i | 0.421512 | + | 0.906823i | ||||
\(25\) | 4.29402 | − | 7.43745i | 0.858803 | − | 1.48749i | ||||
\(26\) | 0.388827 | − | 1.55068i | 0.0762552 | − | 0.304113i | ||||
\(27\) | −4.83531 | + | 1.90258i | −0.930555 | + | 0.366152i | ||||
\(28\) | 2.50461 | − | 4.66122i | 0.473326 | − | 0.880887i | ||||
\(29\) | 1.32443 | − | 0.764659i | 0.245940 | − | 0.141994i | −0.371964 | − | 0.928247i | \(-0.621315\pi\) |
0.617904 | + | 0.786254i | \(0.287982\pi\) | |||||||
\(30\) | 3.54007 | + | 8.30639i | 0.646325 | + | 1.51653i | ||||
\(31\) | 3.45679i | 0.620859i | 0.950596 | + | 0.310429i | \(0.100473\pi\) | ||||
−0.950596 | + | 0.310429i | \(0.899527\pi\) | |||||||
\(32\) | −1.01945 | + | 5.56424i | −0.180216 | + | 0.983627i | ||||
\(33\) | 3.76286 | + | 4.96466i | 0.655029 | + | 0.864237i | ||||
\(34\) | 6.37294 | − | 6.58178i | 1.09295 | − | 1.12877i | ||||
\(35\) | 4.89074 | − | 8.43782i | 0.826686 | − | 1.42625i | ||||
\(36\) | −5.82596 | − | 1.43465i | −0.970993 | − | 0.239108i | ||||
\(37\) | 1.02611 | − | 1.77727i | 0.168691 | − | 0.292182i | −0.769269 | − | 0.638925i | \(-0.779379\pi\) |
0.937960 | + | 0.346744i | \(0.112713\pi\) | |||||||
\(38\) | −6.65530 | − | 1.66879i | −1.07963 | − | 0.270713i | ||||
\(39\) | 1.18269 | + | 1.56043i | 0.189382 | + | 0.249868i | ||||
\(40\) | −2.20853 | + | 10.1895i | −0.349199 | + | 1.61111i | ||||
\(41\) | −0.782771 | − | 0.451933i | −0.122248 | − | 0.0705801i | 0.437629 | − | 0.899156i | \(-0.355818\pi\) |
−0.559877 | + | 0.828576i | \(0.689152\pi\) | |||||||
\(42\) | 2.53072 | + | 5.96619i | 0.390499 | + | 0.920603i | ||||
\(43\) | −5.77771 | + | 3.33576i | −0.881093 | + | 0.508699i | −0.871018 | − | 0.491250i | \(-0.836540\pi\) |
−0.0100740 | + | 0.999949i | \(0.503207\pi\) | |||||||
\(44\) | 0.231851 | + | 7.18949i | 0.0349529 | + | 1.08386i | ||||
\(45\) | −10.6470 | − | 2.98893i | −1.58716 | − | 0.445563i | ||||
\(46\) | 1.06143 | + | 1.02775i | 0.156499 | + | 0.151534i | ||||
\(47\) | 3.71500 | 0.541889 | 0.270944 | − | 0.962595i | \(-0.412664\pi\) | ||||
0.270944 | + | 0.962595i | \(0.412664\pi\) | |||||||
\(48\) | −4.53194 | − | 5.24037i | −0.654129 | − | 0.756383i | ||||
\(49\) | 3.52061 | − | 6.05023i | 0.502944 | − | 0.864319i | ||||
\(50\) | −2.95394 | + | 11.7806i | −0.417750 | + | 1.66603i | ||||
\(51\) | 1.39844 | + | 11.1331i | 0.195821 | + | 1.55894i | ||||
\(52\) | 0.0728725 | + | 2.25971i | 0.0101056 | + | 0.313365i | ||||
\(53\) | 0.975539 | − | 0.563227i | 0.134001 | − | 0.0773652i | −0.431501 | − | 0.902112i | \(-0.642016\pi\) |
0.565502 | + | 0.824747i | \(0.308683\pi\) | |||||||
\(54\) | 5.83757 | − | 4.46349i | 0.794393 | − | 0.607404i | ||||
\(55\) | 13.2578i | 1.78769i | ||||||||
\(56\) | −1.59760 | + | 7.31079i | −0.213489 | + | 0.976946i | ||||
\(57\) | 6.69713 | − | 5.07594i | 0.887057 | − | 0.672325i | ||||
\(58\) | −1.50447 | + | 1.55377i | −0.197547 | + | 0.204020i | ||||
\(59\) | 0.835539 | 0.108778 | 0.0543890 | − | 0.998520i | \(-0.482679\pi\) | ||||
0.0543890 | + | 0.998520i | \(0.482679\pi\) | |||||||
\(60\) | −8.03715 | − | 9.92273i | −1.03759 | − | 1.28102i | ||||
\(61\) | −13.5427 | −1.73397 | −0.866983 | − | 0.498339i | \(-0.833944\pi\) | ||||
−0.866983 | + | 0.498339i | \(0.833944\pi\) | |||||||
\(62\) | −1.34122 | − | 4.70106i | −0.170335 | − | 0.597036i | ||||
\(63\) | −7.63818 | − | 2.15829i | −0.962320 | − | 0.271919i | ||||
\(64\) | −0.772494 | − | 7.96262i | −0.0965617 | − | 0.995327i | ||||
\(65\) | 4.16702i | 0.516856i | ||||||||
\(66\) | −7.04355 | − | 5.29171i | −0.867002 | − | 0.651365i | ||||
\(67\) | − | 3.46796i | − | 0.423679i | −0.977304 | − | 0.211839i | \(-0.932055\pi\) | ||
0.977304 | − | 0.211839i | \(-0.0679454\pi\) | |||||||
\(68\) | −6.11317 | + | 11.4235i | −0.741331 | + | 1.38531i | ||||
\(69\) | −1.79541 | + | 0.225524i | −0.216142 | + | 0.0271499i | ||||
\(70\) | −3.37732 | + | 13.3726i | −0.403667 | + | 1.59833i | ||||
\(71\) | 2.47422 | 0.293636 | 0.146818 | − | 0.989164i | \(-0.453097\pi\) | ||||
0.146818 | + | 0.989164i | \(0.453097\pi\) | |||||||
\(72\) | 8.47964 | − | 0.309394i | 0.999335 | − | 0.0364625i | ||||
\(73\) | 3.43894 | + | 5.95641i | 0.402497 | + | 0.697145i | 0.994027 | − | 0.109138i | \(-0.0348090\pi\) |
−0.591530 | + | 0.806283i | \(0.701476\pi\) | |||||||
\(74\) | −0.705881 | + | 2.81512i | −0.0820570 | + | 0.327252i | ||||
\(75\) | −8.98498 | − | 11.8547i | −1.03750 | − | 1.36886i | ||||
\(76\) | 9.69835 | − | 0.312758i | 1.11248 | − | 0.0358759i | ||||
\(77\) | −0.0161899 | + | 9.51574i | −0.00184501 | + | 1.08442i | ||||
\(78\) | −2.21384 | − | 1.66322i | −0.250668 | − | 0.188323i | ||||
\(79\) | 6.62099i | 0.744919i | 0.928048 | + | 0.372460i | \(0.121486\pi\) | ||||
−0.928048 | + | 0.372460i | \(0.878514\pi\) | |||||||
\(80\) | −0.950010 | − | 14.7141i | −0.106214 | − | 1.64509i | ||||
\(81\) | −0.213922 | + | 8.99746i | −0.0237691 | + | 0.999717i | ||||
\(82\) | 1.23988 | + | 0.310894i | 0.136921 | + | 0.0343325i | ||||
\(83\) | −5.37860 | − | 9.31600i | −0.590378 | − | 1.02256i | −0.994181 | − | 0.107718i | \(-0.965645\pi\) |
0.403804 | − | 0.914846i | \(-0.367688\pi\) | |||||||
\(84\) | −5.75651 | − | 7.13180i | −0.628087 | − | 0.778144i | ||||
\(85\) | −11.9400 | + | 20.6806i | −1.29507 | + | 2.24313i | ||||
\(86\) | 6.56313 | − | 6.77819i | 0.707720 | − | 0.730911i | ||||
\(87\) | −0.330132 | − | 2.62820i | −0.0353939 | − | 0.281773i | ||||
\(88\) | −3.10480 | − | 9.68738i | −0.330973 | − | 1.03268i | ||||
\(89\) | 15.6235 | + | 9.02024i | 1.65609 | + | 0.956144i | 0.974494 | + | 0.224415i | \(0.0720471\pi\) |
0.681596 | + | 0.731729i | \(0.261286\pi\) | |||||||
\(90\) | 15.6391 | − | 0.0662018i | 1.64850 | − | 0.00697828i | ||||
\(91\) | −0.00508858 | + | 2.99086i | −0.000533428 | + | 0.313527i | ||||
\(92\) | −1.84225 | − | 0.985860i | −0.192068 | − | 0.102783i | ||||
\(93\) | 5.51787 | + | 2.32409i | 0.572177 | + | 0.240997i | ||||
\(94\) | −5.05221 | + | 1.44140i | −0.521096 | + | 0.148670i | ||||
\(95\) | 17.8843 | 1.83489 | ||||||||
\(96\) | 8.19644 | + | 5.36827i | 0.836546 | + | 0.547896i | ||||
\(97\) | −5.46022 | − | 9.45739i | −0.554402 | − | 0.960252i | −0.997950 | − | 0.0640014i | \(-0.979614\pi\) |
0.443548 | − | 0.896251i | \(-0.353720\pi\) | |||||||
\(98\) | −2.44038 | + | 9.59398i | −0.246516 | + | 0.969139i | ||||
\(99\) | 10.4546 | − | 2.66855i | 1.05073 | − | 0.268199i | ||||
\(100\) | −0.553617 | − | 17.1671i | −0.0553617 | − | 1.71671i | ||||
\(101\) | 6.36259 | + | 3.67344i | 0.633101 | + | 0.365521i | 0.781952 | − | 0.623339i | \(-0.214224\pi\) |
−0.148851 | + | 0.988860i | \(0.547557\pi\) | |||||||
\(102\) | −6.22140 | − | 14.5978i | −0.616010 | − | 1.44540i | ||||
\(103\) | −1.01104 | + | 0.583722i | −0.0996204 | + | 0.0575158i | −0.548982 | − | 0.835834i | \(-0.684985\pi\) |
0.449362 | + | 0.893350i | \(0.351651\pi\) | |||||||
\(104\) | −0.975859 | − | 3.04481i | −0.0956908 | − | 0.298568i | ||||
\(105\) | −10.1806 | − | 13.4798i | −0.993526 | − | 1.31549i | ||||
\(106\) | −1.10815 | + | 1.14446i | −0.107633 | + | 0.111160i | ||||
\(107\) | 7.59837 | − | 13.1608i | 0.734562 | − | 1.27230i | −0.220353 | − | 0.975420i | \(-0.570721\pi\) |
0.954915 | − | 0.296878i | \(-0.0959456\pi\) | |||||||
\(108\) | −6.20698 | + | 8.33507i | −0.597267 | + | 0.802042i | ||||
\(109\) | 6.64628 | + | 11.5117i | 0.636598 | + | 1.10262i | 0.986174 | + | 0.165712i | \(0.0529923\pi\) |
−0.349576 | + | 0.936908i | \(0.613674\pi\) | |||||||
\(110\) | −5.14398 | − | 18.0300i | −0.490459 | − | 1.71909i | ||||
\(111\) | −2.14707 | − | 2.83282i | −0.203791 | − | 0.268879i | ||||
\(112\) | −0.663897 | − | 10.5622i | −0.0627323 | − | 0.998030i | ||||
\(113\) | −0.272599 | − | 0.157385i | −0.0256440 | − | 0.0148055i | 0.487123 | − | 0.873333i | \(-0.338046\pi\) |
−0.512767 | + | 0.858528i | \(0.671380\pi\) | |||||||
\(114\) | −7.13831 | + | 9.50148i | −0.668564 | + | 0.889895i | ||||
\(115\) | −3.33512 | − | 1.92553i | −0.311002 | − | 0.179557i | ||||
\(116\) | 1.44315 | − | 2.69677i | 0.133993 | − | 0.250389i | ||||
\(117\) | 3.28597 | − | 0.838743i | 0.303788 | − | 0.0775418i | ||||
\(118\) | −1.13629 | + | 0.324185i | −0.104604 | + | 0.0298437i | ||||
\(119\) | −8.59510 | + | 14.8288i | −0.787911 | + | 1.35936i | ||||
\(120\) | 14.7801 | + | 10.3760i | 1.34923 | + | 0.947197i | ||||
\(121\) | −0.967824 | − | 1.67632i | −0.0879840 | − | 0.152393i | ||||
\(122\) | 18.4174 | − | 5.25451i | 1.66743 | − | 0.475721i | ||||
\(123\) | −1.24767 | + | 0.945644i | −0.112499 | + | 0.0852658i | ||||
\(124\) | 3.64798 | + | 5.87281i | 0.327598 | + | 0.527394i | ||||
\(125\) | − | 13.2262i | − | 1.18299i | ||||||
\(126\) | 11.2249 | − | 0.0284183i | 0.999997 | − | 0.00253170i | ||||
\(127\) | − | 7.20459i | − | 0.639304i | −0.947535 | − | 0.319652i | \(-0.896434\pi\) | ||
0.947535 | − | 0.319652i | \(-0.103566\pi\) | |||||||
\(128\) | 4.14001 | + | 10.5290i | 0.365929 | + | 0.930643i | ||||
\(129\) | 1.44017 | + | 11.4653i | 0.126800 | + | 1.00947i | ||||
\(130\) | −1.61679 | − | 5.66694i | −0.141802 | − | 0.497023i | ||||
\(131\) | −7.01097 | − | 12.1434i | −0.612551 | − | 1.06097i | −0.990809 | − | 0.135270i | \(-0.956810\pi\) |
0.378257 | − | 0.925700i | \(-0.376523\pi\) | |||||||
\(132\) | 11.6320 | + | 4.46359i | 1.01244 | + | 0.388505i | ||||
\(133\) | 12.8364 | + | 0.0218395i | 1.11305 | + | 0.00189372i | ||||
\(134\) | 1.34555 | + | 4.71625i | 0.116238 | + | 0.407422i | ||||
\(135\) | −11.9293 | + | 14.9856i | −1.02671 | + | 1.28976i | ||||
\(136\) | 3.88132 | − | 17.9073i | 0.332820 | − | 1.53554i | ||||
\(137\) | −16.1736 | − | 9.33782i | −1.38180 | − | 0.797784i | −0.389429 | − | 0.921057i | \(-0.627328\pi\) |
−0.992373 | + | 0.123273i | \(0.960661\pi\) | |||||||
\(138\) | 2.35417 | − | 1.00331i | 0.200400 | − | 0.0854077i | ||||
\(139\) | −0.265228 | − | 0.153129i | −0.0224963 | − | 0.0129883i | 0.488710 | − | 0.872446i | \(-0.337468\pi\) |
−0.511206 | + | 0.859458i | \(0.670801\pi\) | |||||||
\(140\) | −0.595529 | − | 19.4964i | −0.0503314 | − | 1.64775i | ||||
\(141\) | 2.49769 | − | 5.93003i | 0.210343 | − | 0.499399i | ||||
\(142\) | −3.36481 | + | 0.959985i | −0.282368 | + | 0.0805602i | ||||
\(143\) | −2.03288 | − | 3.52105i | −0.169998 | − | 0.294445i | ||||
\(144\) | −11.4118 | + | 3.71082i | −0.950986 | + | 0.309235i | ||||
\(145\) | 2.81868 | − | 4.88210i | 0.234079 | − | 0.405437i | ||||
\(146\) | −6.98784 | − | 6.76612i | −0.578318 | − | 0.559968i | ||||
\(147\) | −7.29062 | − | 9.68746i | −0.601321 | − | 0.799008i | ||||
\(148\) | −0.132294 | − | 4.10230i | −0.0108745 | − | 0.337207i | ||||
\(149\) | −8.46904 | + | 4.88960i | −0.693810 | + | 0.400572i | −0.805038 | − | 0.593223i | \(-0.797855\pi\) |
0.111228 | + | 0.993795i | \(0.464522\pi\) | |||||||
\(150\) | 16.8187 | + | 12.6356i | 1.37324 | + | 1.03169i | ||||
\(151\) | 20.1095 | + | 11.6102i | 1.63649 | + | 0.944829i | 0.982028 | + | 0.188735i | \(0.0604386\pi\) |
0.654463 | + | 0.756094i | \(0.272895\pi\) | |||||||
\(152\) | −13.0679 | + | 4.18825i | −1.05995 | + | 0.339712i | ||||
\(153\) | 18.7113 | + | 5.25281i | 1.51272 | + | 0.424664i | ||||
\(154\) | −3.67005 | − | 12.9472i | −0.295741 | − | 1.04331i | ||||
\(155\) | 6.37121 | + | 11.0353i | 0.511748 | + | 0.886373i | ||||
\(156\) | 3.65603 | + | 1.40294i | 0.292716 | + | 0.112325i | ||||
\(157\) | −6.42697 | −0.512928 | −0.256464 | − | 0.966554i | \(-0.582557\pi\) | ||||
−0.256464 | + | 0.966554i | \(0.582557\pi\) | |||||||
\(158\) | −2.56891 | − | 9.00420i | −0.204372 | − | 0.716336i | ||||
\(159\) | −0.243167 | − | 1.93586i | −0.0192844 | − | 0.153524i | ||||
\(160\) | 7.00099 | + | 19.6419i | 0.553477 | + | 1.55283i | ||||
\(161\) | −2.39142 | − | 1.38612i | −0.188470 | − | 0.109241i | ||||
\(162\) | −3.20005 | − | 12.3191i | −0.251420 | − | 0.967878i | ||||
\(163\) | −6.27359 | − | 3.62206i | −0.491386 | − | 0.283702i | 0.233763 | − | 0.972294i | \(-0.424896\pi\) |
−0.725149 | + | 0.688592i | \(0.758229\pi\) | |||||||
\(164\) | −1.80679 | + | 0.0582666i | −0.141087 | + | 0.00454986i | ||||
\(165\) | 21.1627 | + | 8.91357i | 1.64751 | + | 0.693921i | ||||
\(166\) | 10.9292 | + | 10.5824i | 0.848269 | + | 0.821354i | ||||
\(167\) | −8.90378 | + | 15.4218i | −0.688995 | + | 1.19337i | 0.283168 | + | 0.959070i | \(0.408614\pi\) |
−0.972163 | + | 0.234304i | \(0.924719\pi\) | |||||||
\(168\) | 10.5957 | + | 7.46538i | 0.817473 | + | 0.575967i | ||||
\(169\) | 5.86105 | + | 10.1516i | 0.450850 | + | 0.780895i | ||||
\(170\) | 8.21374 | − | 32.7572i | 0.629965 | − | 2.51236i | ||||
\(171\) | −3.59977 | − | 14.1029i | −0.275281 | − | 1.07848i | ||||
\(172\) | −6.29561 | + | 11.7645i | −0.480035 | + | 0.897031i | ||||
\(173\) | − | 8.82819i | − | 0.671195i | −0.942006 | − | 0.335597i | \(-0.891062\pi\) | ||
0.942006 | − | 0.335597i | \(-0.108938\pi\) | |||||||
\(174\) | 1.46869 | + | 3.44613i | 0.111341 | + | 0.261251i | ||||
\(175\) | 0.0386583 | − | 22.7218i | 0.00292229 | − | 1.71760i | ||||
\(176\) | 7.98103 | + | 11.9697i | 0.601592 | + | 0.902250i | ||||
\(177\) | 0.561754 | − | 1.33372i | 0.0422240 | − | 0.100249i | ||||
\(178\) | −24.7470 | − | 6.20521i | −1.85487 | − | 0.465100i | ||||
\(179\) | 6.44399 | + | 11.1613i | 0.481646 | + | 0.834236i | 0.999778 | − | 0.0210647i | \(-0.00670560\pi\) |
−0.518132 | + | 0.855301i | \(0.673372\pi\) | |||||||
\(180\) | −21.2426 | + | 6.15792i | −1.58333 | + | 0.458984i | ||||
\(181\) | −9.19667 | −0.683583 | −0.341792 | − | 0.939776i | \(-0.611034\pi\) | ||||
−0.341792 | + | 0.939776i | \(0.611034\pi\) | |||||||
\(182\) | −1.15352 | − | 4.06939i | −0.0855046 | − | 0.301643i | ||||
\(183\) | −9.10510 | + | 21.6174i | −0.673068 | + | 1.59800i | ||||
\(184\) | 2.88788 | + | 0.625933i | 0.212897 | + | 0.0461444i | ||||
\(185\) | − | 7.56487i | − | 0.556181i | ||||||
\(186\) | −8.40576 | − | 1.01973i | −0.616340 | − | 0.0747705i | ||||
\(187\) | − | 23.2996i | − | 1.70384i | ||||||
\(188\) | 6.31149 | − | 3.92047i | 0.460313 | − | 0.285930i | ||||
\(189\) | −8.58048 | + | 10.7413i | −0.624138 | + | 0.781314i | ||||
\(190\) | −24.3217 | + | 6.93902i | −1.76448 | + | 0.503410i | ||||
\(191\) | −9.10663 | −0.658932 | −0.329466 | − | 0.944167i | \(-0.606869\pi\) | ||||
−0.329466 | + | 0.944167i | \(0.606869\pi\) | |||||||
\(192\) | −13.2296 | − | 4.12038i | −0.954764 | − | 0.297363i | ||||
\(193\) | −11.5357 | −0.830356 | −0.415178 | − | 0.909740i | \(-0.636281\pi\) | ||||
−0.415178 | + | 0.909740i | \(0.636281\pi\) | |||||||
\(194\) | 11.0950 | + | 10.7430i | 0.796578 | + | 0.771303i | ||||
\(195\) | 6.65157 | + | 2.80160i | 0.476329 | + | 0.200626i | ||||
\(196\) | −0.403630 | − | 13.9942i | −0.0288307 | − | 0.999584i | ||||
\(197\) | − | 12.9243i | − | 0.920815i | −0.887708 | − | 0.460408i | \(-0.847703\pi\) | ||
0.887708 | − | 0.460408i | \(-0.152297\pi\) | |||||||
\(198\) | −13.1824 | + | 7.68545i | −0.936832 | + | 0.546181i | ||||
\(199\) | −9.22615 | + | 5.32672i | −0.654024 | + | 0.377601i | −0.789996 | − | 0.613112i | \(-0.789918\pi\) |
0.135972 | + | 0.990713i | \(0.456584\pi\) | |||||||
\(200\) | 7.41366 | + | 23.1316i | 0.524225 | + | 1.63565i | ||||
\(201\) | −5.53570 | − | 2.33160i | −0.390458 | − | 0.164458i | ||||
\(202\) | −10.0781 | − | 2.52704i | −0.709090 | − | 0.177802i | ||||
\(203\) | 2.02906 | − | 3.50066i | 0.142412 | − | 0.245698i | ||||
\(204\) | 14.1247 | + | 17.4384i | 0.988925 | + | 1.22093i | ||||
\(205\) | −3.33183 | −0.232705 | ||||||||
\(206\) | 1.14848 | − | 1.18611i | 0.0800181 | − | 0.0826402i | ||||
\(207\) | −0.847110 | + | 3.01753i | −0.0588782 | + | 0.209733i | ||||
\(208\) | 2.50849 | + | 3.76216i | 0.173933 | + | 0.260859i | ||||
\(209\) | −15.1119 | + | 8.72484i | −1.04531 | + | 0.603510i | ||||
\(210\) | 19.0752 | + | 14.3817i | 1.31631 | + | 0.992434i | ||||
\(211\) | −0.485988 | − | 0.280585i | −0.0334568 | − | 0.0193163i | 0.483178 | − | 0.875522i | \(-0.339482\pi\) |
−0.516635 | + | 0.856206i | \(0.672816\pi\) | |||||||
\(212\) | 1.06298 | − | 1.98637i | 0.0730060 | − | 0.136425i | ||||
\(213\) | 1.66348 | − | 3.94944i | 0.113980 | − | 0.270611i | ||||
\(214\) | −5.22707 | + | 20.8461i | −0.357315 | + | 1.42501i | ||||
\(215\) | −12.2963 | + | 21.2978i | −0.838599 | + | 1.45250i | ||||
\(216\) | 5.20721 | − | 13.7435i | 0.354306 | − | 0.935130i | ||||
\(217\) | 4.55943 | + | 7.92828i | 0.309514 | + | 0.538207i | ||||
\(218\) | −13.5051 | − | 13.0766i | −0.914679 | − | 0.885658i | ||||
\(219\) | 11.8199 | − | 1.48472i | 0.798718 | − | 0.100328i | ||||
\(220\) | 13.9911 | + | 22.5240i | 0.943279 | + | 1.51857i | ||||
\(221\) | − | 7.32322i | − | 0.492613i | ||||||
\(222\) | 4.01903 | + | 3.01943i | 0.269740 | + | 0.202651i | ||||
\(223\) | −13.4947 | + | 7.79117i | −0.903672 | + | 0.521735i | −0.878390 | − | 0.477945i | \(-0.841382\pi\) |
−0.0252823 | + | 0.999680i | \(0.508048\pi\) | |||||||
\(224\) | 5.00094 | + | 14.1064i | 0.334139 | + | 0.942524i | ||||
\(225\) | −24.9637 | + | 6.37199i | −1.66425 | + | 0.424799i | ||||
\(226\) | 0.431785 | + | 0.108268i | 0.0287219 | + | 0.00720191i | ||||
\(227\) | 9.96283 | − | 17.2561i | 0.661256 | − | 1.14533i | −0.319029 | − | 0.947745i | \(-0.603357\pi\) |
0.980286 | − | 0.197585i | \(-0.0633098\pi\) | |||||||
\(228\) | 6.02121 | − | 15.6912i | 0.398764 | − | 1.03917i | ||||
\(229\) | −5.23823 | − | 9.07287i | −0.346152 | − | 0.599552i | 0.639411 | − | 0.768865i | \(-0.279178\pi\) |
−0.985562 | + | 0.169313i | \(0.945845\pi\) | |||||||
\(230\) | 5.28269 | + | 1.32461i | 0.348331 | + | 0.0873425i | ||||
\(231\) | 15.1785 | + | 6.42351i | 0.998672 | + | 0.422636i | ||||
\(232\) | −0.916268 | + | 4.22741i | −0.0601560 | + | 0.277543i | ||||
\(233\) | 20.8229 | + | 12.0221i | 1.36415 | + | 0.787595i | 0.990174 | − | 0.139841i | \(-0.0446592\pi\) |
0.373981 | + | 0.927436i | \(0.377993\pi\) | |||||||
\(234\) | −4.14332 | + | 2.41559i | −0.270857 | + | 0.157912i | ||||
\(235\) | 11.8595 | − | 6.84711i | 0.773632 | − | 0.446656i | ||||
\(236\) | 1.41951 | − | 0.881751i | 0.0924024 | − | 0.0573971i | ||||
\(237\) | 10.5687 | + | 4.45146i | 0.686510 | + | 0.289153i | ||||
\(238\) | 5.93537 | − | 23.5013i | 0.384733 | − | 1.52336i | ||||
\(239\) | 6.39090 | − | 11.0694i | 0.413393 | − | 0.716017i | −0.581865 | − | 0.813285i | \(-0.697677\pi\) |
0.995258 | + | 0.0972677i | \(0.0310103\pi\) | |||||||
\(240\) | −24.1260 | − | 8.37624i | −1.55733 | − | 0.540684i | ||||
\(241\) | 7.41032 | − | 12.8351i | 0.477341 | − | 0.826778i | −0.522322 | − | 0.852748i | \(-0.674934\pi\) |
0.999663 | + | 0.0259699i | \(0.00826741\pi\) | |||||||
\(242\) | 1.96659 | + | 1.90420i | 0.126418 | + | 0.122406i | ||||
\(243\) | 14.2183 | + | 6.39069i | 0.912102 | + | 0.409963i | ||||
\(244\) | −23.0080 | + | 14.2917i | −1.47293 | + | 0.914933i | ||||
\(245\) | 0.0878022 | − | 25.8032i | 0.00560948 | − | 1.64851i | ||||
\(246\) | 1.32986 | − | 1.77012i | 0.0847888 | − | 0.112859i | ||||
\(247\) | −4.74976 | + | 2.74228i | −0.302220 | + | 0.174487i | ||||
\(248\) | −7.23969 | − | 6.57132i | −0.459721 | − | 0.417279i | ||||
\(249\) | −18.4867 | + | 2.32214i | −1.17155 | + | 0.147160i | ||||
\(250\) | 5.13170 | + | 17.9869i | 0.324557 | + | 1.13759i | ||||
\(251\) | −11.5264 | −0.727542 | −0.363771 | − | 0.931488i | \(-0.618511\pi\) | ||||
−0.363771 | + | 0.931488i | \(0.618511\pi\) | |||||||
\(252\) | −15.2543 | + | 4.39387i | −0.960931 | + | 0.276788i | ||||
\(253\) | 3.75748 | 0.236231 | ||||||||
\(254\) | 2.79535 | + | 9.79787i | 0.175396 | + | 0.614773i | ||||
\(255\) | 24.9837 | + | 32.9631i | 1.56454 | + | 2.06423i | ||||
\(256\) | −9.71541 | − | 12.7126i | −0.607213 | − | 0.794539i | ||||
\(257\) | −15.0476 | + | 8.68772i | −0.938642 | + | 0.541925i | −0.889534 | − | 0.456868i | \(-0.848971\pi\) |
−0.0491076 | + | 0.998793i | \(0.515638\pi\) | |||||||
\(258\) | −6.40706 | − | 15.0335i | −0.398886 | − | 0.935943i | ||||
\(259\) | 0.00923788 | − | 5.42965i | 0.000574014 | − | 0.337382i | ||||
\(260\) | 4.39749 | + | 7.07944i | 0.272721 | + | 0.439048i | ||||
\(261\) | −4.41720 | − | 1.24004i | −0.273418 | − | 0.0767564i | ||||
\(262\) | 14.2461 | + | 13.7941i | 0.880129 | + | 0.852203i | ||||
\(263\) | 5.80575 | − | 10.0558i | 0.357998 | − | 0.620070i | −0.629629 | − | 0.776896i | \(-0.716793\pi\) |
0.987626 | + | 0.156826i | \(0.0501262\pi\) | |||||||
\(264\) | −17.5508 | − | 1.55707i | −1.08018 | − | 0.0958312i | ||||
\(265\) | 2.07617 | − | 3.59603i | 0.127538 | − | 0.220902i | ||||
\(266\) | −17.4653 | + | 4.95075i | −1.07086 | + | 0.303550i | ||||
\(267\) | 24.9025 | − | 18.8743i | 1.52401 | − | 1.15509i | ||||
\(268\) | −3.65977 | − | 5.89179i | −0.223556 | − | 0.359898i | ||||
\(269\) | 14.3096 | − | 8.26163i | 0.872469 | − | 0.503720i | 0.00430110 | − | 0.999991i | \(-0.498631\pi\) |
0.868168 | + | 0.496271i | \(0.165298\pi\) | |||||||
\(270\) | 10.4089 | − | 25.0082i | 0.633463 | − | 1.52195i | ||||
\(271\) | −7.51182 | − | 4.33695i | −0.456310 | − | 0.263451i | 0.254181 | − | 0.967157i | \(-0.418194\pi\) |
−0.710492 | + | 0.703706i | \(0.751527\pi\) | |||||||
\(272\) | 1.66957 | + | 25.8590i | 0.101232 | + | 1.56793i | ||||
\(273\) | 4.77071 | + | 2.01895i | 0.288736 | + | 0.122193i | ||||
\(274\) | 25.6183 | + | 6.42367i | 1.54766 | + | 0.388068i | ||||
\(275\) | 15.4439 | + | 26.7497i | 0.931304 | + | 1.61307i | ||||
\(276\) | −2.81226 | + | 2.27786i | −0.169278 | + | 0.137111i | ||||
\(277\) | 9.02246 | − | 15.6274i | 0.542107 | − | 0.938957i | −0.456676 | − | 0.889633i | \(-0.650960\pi\) |
0.998783 | − | 0.0493237i | \(-0.0157066\pi\) | |||||||
\(278\) | 0.420110 | + | 0.105341i | 0.0251965 | + | 0.00631792i | ||||
\(279\) | 7.41961 | − | 7.24530i | 0.444200 | − | 0.433765i | ||||
\(280\) | 8.37441 | + | 26.2831i | 0.500467 | + | 1.57071i | ||||
\(281\) | 20.2561 | − | 11.6949i | 1.20838 | − | 0.697658i | 0.245974 | − | 0.969276i | \(-0.420892\pi\) |
0.962405 | + | 0.271619i | \(0.0875589\pi\) | |||||||
\(282\) | −1.09590 | + | 9.03363i | −0.0652601 | + | 0.537945i | ||||
\(283\) | 12.4850i | 0.742157i | 0.928602 | + | 0.371078i | \(0.121012\pi\) | ||||
−0.928602 | + | 0.371078i | \(0.878988\pi\) | |||||||
\(284\) | 4.20350 | − | 2.61106i | 0.249432 | − | 0.154938i | ||||
\(285\) | 12.0241 | − | 28.5476i | 0.712244 | − | 1.69101i | ||||
\(286\) | 4.13077 | + | 3.99970i | 0.244257 | + | 0.236507i | ||||
\(287\) | −2.39140 | − | 0.00406867i | −0.141160 | − | 0.000240166i | ||||
\(288\) | 14.0797 | − | 9.47426i | 0.829655 | − | 0.558276i | ||||
\(289\) | 12.4835 | − | 21.6221i | 0.734326 | − | 1.27189i | ||||
\(290\) | −1.93903 | + | 7.73304i | −0.113864 | + | 0.454100i | ||||
\(291\) | −18.7673 | + | 2.35738i | −1.10016 | + | 0.138192i | ||||
\(292\) | 12.1283 | + | 6.49033i | 0.709756 | + | 0.379818i | ||||
\(293\) | −3.37934 | − | 1.95106i | −0.197423 | − | 0.113982i | 0.398030 | − | 0.917373i | \(-0.369694\pi\) |
−0.595453 | + | 0.803390i | \(0.703027\pi\) | |||||||
\(294\) | 13.6736 | + | 10.3457i | 0.797458 | + | 0.603374i | ||||
\(295\) | 2.66732 | − | 1.53998i | 0.155298 | − | 0.0896611i | ||||
\(296\) | 1.77159 | + | 5.52759i | 0.102971 | + | 0.321285i | ||||
\(297\) | 2.76928 | − | 18.4823i | 0.160690 | − | 1.07245i | ||||
\(298\) | 9.62031 | − | 9.93555i | 0.557289 | − | 0.575551i | ||||
\(299\) | 1.18100 | 0.0682991 | ||||||||
\(300\) | −27.7751 | − | 10.6582i | −1.60359 | − | 0.615351i | ||||
\(301\) | −8.85159 | + | 15.2713i | −0.510197 | + | 0.880226i | ||||
\(302\) | −31.8527 | − | 7.98693i | −1.83291 | − | 0.459596i | ||||
\(303\) | 10.1414 | − | 7.68646i | 0.582609 | − | 0.441576i | ||||
\(304\) | 16.1467 | − | 10.7661i | 0.926074 | − | 0.617478i | ||||
\(305\) | −43.2329 | + | 24.9605i | −2.47551 | + | 1.42923i | ||||
\(306\) | −27.4844 | + | 0.116344i | −1.57118 | + | 0.00665097i | ||||
\(307\) | 5.13048i | 0.292812i | 0.989225 | + | 0.146406i | \(0.0467706\pi\) | ||||
−0.989225 | + | 0.146406i | \(0.953229\pi\) | |||||||
\(308\) | 10.0145 | + | 16.1836i | 0.570631 | + | 0.922144i | ||||
\(309\) | 0.252015 | + | 2.00631i | 0.0143366 | + | 0.114135i | ||||
\(310\) | −12.9461 | − | 12.5354i | −0.735292 | − | 0.711962i | ||||
\(311\) | −5.75440 | −0.326302 | −0.163151 | − | 0.986601i | \(-0.552166\pi\) | ||||
−0.163151 | + | 0.986601i | \(0.552166\pi\) | |||||||
\(312\) | −5.51634 | − | 0.489399i | −0.312301 | − | 0.0277067i | ||||
\(313\) | 2.38124 | 0.134596 | 0.0672978 | − | 0.997733i | \(-0.478562\pi\) | ||||
0.0672978 | + | 0.997733i | \(0.478562\pi\) | |||||||
\(314\) | 8.74034 | − | 2.49363i | 0.493246 | − | 0.140724i | ||||
\(315\) | −28.3616 | + | 7.18792i | −1.59799 | + | 0.404994i | ||||
\(316\) | 6.98718 | + | 11.2485i | 0.393060 | + | 0.632779i | ||||
\(317\) | 11.0574i | 0.621046i | 0.950566 | + | 0.310523i | \(0.100504\pi\) | ||||
−0.950566 | + | 0.310523i | \(0.899496\pi\) | |||||||
\(318\) | 1.08180 | + | 2.53833i | 0.0606644 | + | 0.142342i | ||||
\(319\) | 5.50037i | 0.307962i | ||||||||
\(320\) | −17.1419 | − | 23.9956i | −0.958263 | − | 1.34139i | ||||
\(321\) | −15.8991 | − | 20.9771i | −0.887404 | − | 1.17083i | ||||
\(322\) | 3.79001 | + | 0.957186i | 0.211209 | + | 0.0533419i | ||||
\(323\) | −31.4303 | −1.74883 | ||||||||
\(324\) | 9.13165 | + | 15.5117i | 0.507314 | + | 0.861761i | ||||
\(325\) | 4.85413 | + | 8.40760i | 0.269259 | + | 0.466370i | ||||
\(326\) | 9.93711 | + | 2.49169i | 0.550365 | + | 0.138002i | ||||
\(327\) | 22.8439 | − | 2.86945i | 1.26327 | − | 0.158681i | ||||
\(328\) | 2.43454 | − | 0.780267i | 0.134425 | − | 0.0430830i | ||||
\(329\) | 8.52049 | − | 4.90000i | 0.469750 | − | 0.270146i | ||||
\(330\) | −32.2386 | − | 3.91098i | −1.77467 | − | 0.215292i | ||||
\(331\) | − | 9.44833i | − | 0.519327i | −0.965699 | − | 0.259664i | \(-0.916388\pi\) | ||
0.965699 | − | 0.259664i | \(-0.0836117\pi\) | |||||||
\(332\) | −18.9690 | − | 10.1511i | −1.04106 | − | 0.557112i | ||||
\(333\) | −5.96539 | + | 1.52267i | −0.326901 | + | 0.0834416i | ||||
\(334\) | 6.12509 | − | 24.4275i | 0.335150 | − | 1.33661i | ||||
\(335\) | −6.39179 | − | 11.0709i | −0.349221 | − | 0.604868i | ||||
\(336\) | −17.3061 | − | 6.04147i | −0.944124 | − | 0.329589i | ||||
\(337\) | 9.17654 | − | 15.8942i | 0.499878 | − | 0.865814i | −0.500122 | − | 0.865955i | \(-0.666712\pi\) |
1.00000 | 0.000141125i | \(4.49213e-5\pi\) | ||||||||
\(338\) | −11.9095 | − | 11.5316i | −0.647792 | − | 0.627239i | ||||
\(339\) | −0.434499 | + | 0.329319i | −0.0235988 | + | 0.0178862i | ||||
\(340\) | 1.53939 | + | 47.7350i | 0.0834851 | + | 2.58879i | ||||
\(341\) | −10.7671 | − | 6.21638i | −0.583071 | − | 0.336636i | ||||
\(342\) | 10.3674 | + | 17.7825i | 0.560603 | + | 0.961570i | ||||
\(343\) | 0.0945293 | − | 18.5200i | 0.00510410 | − | 0.999987i | ||||
\(344\) | 3.99714 | − | 18.4417i | 0.215512 | − | 0.994311i | ||||
\(345\) | −5.31590 | + | 4.02907i | −0.286198 | + | 0.216918i | ||||
\(346\) | 3.42530 | + | 12.0059i | 0.184145 | + | 0.645440i | ||||
\(347\) | −33.8066 | −1.81483 | −0.907416 | − | 0.420233i | \(-0.861948\pi\) | ||||
−0.907416 | + | 0.420233i | \(0.861948\pi\) | |||||||
\(348\) | −3.33443 | − | 4.11672i | −0.178744 | − | 0.220679i | ||||
\(349\) | −7.41378 | − | 12.8410i | −0.396851 | − | 0.687365i | 0.596485 | − | 0.802624i | \(-0.296564\pi\) |
−0.993335 | + | 0.115259i | \(0.963230\pi\) | |||||||
\(350\) | 8.76337 | + | 30.9154i | 0.468422 | + | 1.65250i | ||||
\(351\) | 0.870404 | − | 5.80910i | 0.0464587 | − | 0.310067i | ||||
\(352\) | −15.4980 | − | 13.1816i | −0.826045 | − | 0.702580i | ||||
\(353\) | 22.0009 | + | 12.7022i | 1.17099 | + | 0.676071i | 0.953913 | − | 0.300083i | \(-0.0970144\pi\) |
0.217077 | + | 0.976155i | \(0.430348\pi\) | |||||||
\(354\) | −0.246479 | + | 2.03175i | −0.0131002 | + | 0.107986i | ||||
\(355\) | 7.89854 | − | 4.56022i | 0.419211 | − | 0.242032i | ||||
\(356\) | 36.0622 | − | 1.16296i | 1.91129 | − | 0.0616366i | ||||
\(357\) | 17.8916 | + | 23.6896i | 0.946926 | + | 1.25379i | ||||
\(358\) | −13.0940 | − | 12.6786i | −0.692041 | − | 0.670084i | ||||
\(359\) | 7.27219 | − | 12.5958i | 0.383811 | − | 0.664781i | −0.607792 | − | 0.794096i | \(-0.707945\pi\) |
0.991604 | + | 0.129315i | \(0.0412780\pi\) | |||||||
\(360\) | 26.4996 | − | 16.6165i | 1.39665 | − | 0.875766i | ||||
\(361\) | 2.26947 | + | 3.93084i | 0.119446 | + | 0.206886i | ||||
\(362\) | 12.5070 | − | 3.56827i | 0.657353 | − | 0.187544i | ||||
\(363\) | −3.32650 | + | 0.417846i | −0.174596 | + | 0.0219312i | ||||
\(364\) | 3.14763 | + | 5.08660i | 0.164981 | + | 0.266610i | ||||
\(365\) | 21.9565 | + | 12.6766i | 1.14926 | + | 0.663523i | ||||
\(366\) | 3.99501 | − | 32.9313i | 0.208823 | − | 1.72134i | ||||
\(367\) | 12.4958 | + | 7.21446i | 0.652276 | + | 0.376592i | 0.789328 | − | 0.613972i | \(-0.210429\pi\) |
−0.137052 | + | 0.990564i | \(0.543763\pi\) | |||||||
\(368\) | −4.17023 | + | 0.269248i | −0.217388 | + | 0.0140355i | ||||
\(369\) | 0.670633 | + | 2.62736i | 0.0349118 | + | 0.136775i | ||||
\(370\) | 2.93514 | + | 10.2878i | 0.152591 | + | 0.534839i | ||||
\(371\) | 1.49455 | − | 2.57849i | 0.0775931 | − | 0.133869i | ||||
\(372\) | 11.8270 | − | 1.87461i | 0.613204 | − | 0.0971940i | ||||
\(373\) | −0.658883 | − | 1.14122i | −0.0341157 | − | 0.0590901i | 0.848463 | − | 0.529254i | \(-0.177528\pi\) |
−0.882579 | + | 0.470164i | \(0.844195\pi\) | |||||||
\(374\) | 9.04014 | + | 31.6863i | 0.467455 | + | 1.63846i | ||||
\(375\) | −21.1122 | − | 8.89230i | −1.09023 | − | 0.459196i | ||||
\(376\) | −7.06217 | + | 7.78047i | −0.364204 | + | 0.401247i | ||||
\(377\) | 1.72880i | 0.0890379i | ||||||||
\(378\) | 7.50144 | − | 17.9368i | 0.385833 | − | 0.922569i | ||||
\(379\) | − | 19.4758i | − | 1.00041i | −0.865908 | − | 0.500203i | \(-0.833259\pi\) | ||
0.865908 | − | 0.500203i | \(-0.166741\pi\) | |||||||
\(380\) | 30.3840 | − | 18.8734i | 1.55866 | − | 0.968187i | ||||
\(381\) | −11.5002 | − | 4.84382i | −0.589175 | − | 0.248157i | ||||
\(382\) | 12.3845 | − | 3.53333i | 0.633648 | − | 0.180781i | ||||
\(383\) | −1.15780 | − | 2.00538i | −0.0591611 | − | 0.102470i | 0.834928 | − | 0.550359i | \(-0.185509\pi\) |
−0.894089 | + | 0.447889i | \(0.852176\pi\) | |||||||
\(384\) | 19.5903 | + | 0.470480i | 0.999712 | + | 0.0240091i | ||||
\(385\) | 17.4867 | + | 30.4073i | 0.891207 | + | 1.54970i | ||||
\(386\) | 15.6879 | − | 4.47579i | 0.798494 | − | 0.227812i | ||||
\(387\) | 19.2697 | + | 5.40956i | 0.979532 | + | 0.274984i | ||||
\(388\) | −19.2569 | − | 10.3051i | −0.977622 | − | 0.523163i | ||||
\(389\) | −0.391507 | − | 0.226037i | −0.0198502 | − | 0.0114605i | 0.490042 | − | 0.871699i | \(-0.336981\pi\) |
−0.509892 | + | 0.860238i | \(0.670315\pi\) | |||||||
\(390\) | −10.1328 | − | 1.22925i | −0.513094 | − | 0.0622453i | ||||
\(391\) | 5.86122 | + | 3.38398i | 0.296415 | + | 0.171135i | ||||
\(392\) | 5.97859 | + | 18.8748i | 0.301965 | + | 0.953319i | ||||
\(393\) | −24.0974 | + | 3.02690i | −1.21555 | + | 0.152687i | ||||
\(394\) | 5.01455 | + | 17.5763i | 0.252630 | + | 0.885482i | ||||
\(395\) | 12.2031 | + | 21.1364i | 0.614006 | + | 1.06349i | ||||
\(396\) | 14.9455 | − | 15.5665i | 0.751038 | − | 0.782247i | ||||
\(397\) | −14.3892 | + | 24.9228i | −0.722174 | + | 1.25084i | 0.237953 | + | 0.971277i | \(0.423524\pi\) |
−0.960127 | + | 0.279565i | \(0.909810\pi\) | |||||||
\(398\) | 10.4803 | − | 10.8238i | 0.525332 | − | 0.542546i | ||||
\(399\) | 8.66507 | − | 20.4752i | 0.433796 | − | 1.02504i | ||||
\(400\) | −19.0572 | − | 28.5813i | −0.952858 | − | 1.42907i | ||||
\(401\) | 10.2380 | − | 5.91088i | 0.511259 | − | 0.295176i | −0.222092 | − | 0.975026i | \(-0.571289\pi\) |
0.733351 | + | 0.679850i | \(0.237955\pi\) | |||||||
\(402\) | 8.43291 | + | 1.02303i | 0.420595 | + | 0.0510240i | ||||
\(403\) | −3.38417 | − | 1.95385i | −0.168577 | − | 0.0973282i | ||||
\(404\) | 14.6861 | − | 0.473608i | 0.730662 | − | 0.0235629i | ||||
\(405\) | 15.9003 | + | 29.1172i | 0.790091 | + | 1.44685i | ||||
\(406\) | −1.40117 | + | 5.54798i | −0.0695390 | + | 0.275342i | ||||
\(407\) | 3.69052 | + | 6.39217i | 0.182932 | + | 0.316848i | ||||
\(408\) | −25.9749 | − | 18.2351i | −1.28595 | − | 0.902769i | ||||
\(409\) | −35.8514 | −1.77274 | −0.886369 | − | 0.462979i | \(-0.846780\pi\) | ||||
−0.886369 | + | 0.462979i | \(0.846780\pi\) | |||||||
\(410\) | 4.53111 | − | 1.29273i | 0.223776 | − | 0.0638436i | ||||
\(411\) | −25.7793 | + | 19.5388i | −1.27160 | + | 0.963780i | ||||
\(412\) | −1.10166 | + | 2.05865i | −0.0542750 | + | 0.101422i | ||||
\(413\) | 1.91634 | − | 1.10206i | 0.0942968 | − | 0.0542286i | ||||
\(414\) | −0.0187627 | − | 4.43236i | −0.000922134 | − | 0.217839i | ||||
\(415\) | −34.3406 | − | 19.8266i | −1.68571 | − | 0.973247i | ||||
\(416\) | −4.87112 | − | 4.14305i | −0.238826 | − | 0.203130i | ||||
\(417\) | −0.422751 | + | 0.320414i | −0.0207022 | + | 0.0156908i | ||||
\(418\) | 17.1662 | − | 17.7287i | 0.839624 | − | 0.867138i | ||||
\(419\) | −12.3927 | + | 21.4647i | −0.605421 | + | 1.04862i | 0.386564 | + | 0.922263i | \(0.373662\pi\) |
−0.991985 | + | 0.126357i | \(0.959671\pi\) | |||||||
\(420\) | −31.5213 | − | 12.1573i | −1.53808 | − | 0.593217i | ||||
\(421\) | −12.5570 | − | 21.7493i | −0.611990 | − | 1.06000i | −0.990905 | − | 0.134566i | \(-0.957036\pi\) |
0.378914 | − | 0.925432i | \(-0.376297\pi\) | |||||||
\(422\) | 0.769784 | + | 0.193020i | 0.0374725 | + | 0.00939608i | ||||
\(423\) | −7.78649 | − | 7.97382i | −0.378592 | − | 0.387700i | ||||
\(424\) | −0.674899 | + | 3.11379i | −0.0327760 | + | 0.151219i | ||||
\(425\) | 55.6350i | 2.69869i | ||||||||
\(426\) | −0.729879 | + | 6.01646i | −0.0353628 | + | 0.291499i | ||||
\(427\) | −31.0607 | + | 17.8625i | −1.50313 | + | 0.864426i | ||||
\(428\) | −0.979639 | − | 30.3777i | −0.0473526 | − | 1.46836i | ||||
\(429\) | −6.98720 | + | 0.877671i | −0.337345 | + | 0.0423744i | ||||
\(430\) | 8.45886 | − | 33.7348i | 0.407922 | − | 1.62683i | ||||
\(431\) | −3.15851 | − | 5.47070i | −0.152140 | − | 0.263514i | 0.779874 | − | 0.625937i | \(-0.215283\pi\) |
−0.932014 | + | 0.362422i | \(0.881950\pi\) | |||||||
\(432\) | −1.74910 | + | 20.7109i | −0.0841536 | + | 0.996453i | ||||
\(433\) | 27.4268 | 1.31805 | 0.659024 | − | 0.752122i | \(-0.270969\pi\) | ||||
0.659024 | + | 0.752122i | \(0.270969\pi\) | |||||||
\(434\) | −9.27672 | − | 9.01302i | −0.445297 | − | 0.432639i | ||||
\(435\) | −5.89793 | − | 7.78165i | −0.282784 | − | 0.373102i | ||||
\(436\) | 23.4399 | + | 12.5436i | 1.12257 | + | 0.600728i | ||||
\(437\) | − | 5.06870i | − | 0.242469i | ||||||
\(438\) | −15.4984 | + | 6.60523i | −0.740544 | + | 0.315610i | ||||
\(439\) | 5.09892i | 0.243358i | 0.992569 | + | 0.121679i | \(0.0388279\pi\) | ||||
−0.992569 | + | 0.121679i | \(0.961172\pi\) | |||||||
\(440\) | −27.7664 | − | 25.2030i | −1.32371 | − | 1.20150i | ||||
\(441\) | −20.3652 | + | 5.12446i | −0.969770 | + | 0.244022i | ||||
\(442\) | 2.84138 | + | 9.95920i | 0.135151 | + | 0.473711i | ||||
\(443\) | 3.95739 | 0.188021 | 0.0940106 | − | 0.995571i | \(-0.470031\pi\) | ||||
0.0940106 | + | 0.995571i | \(0.470031\pi\) | |||||||
\(444\) | −6.63720 | − | 2.54691i | −0.314988 | − | 0.120871i | ||||
\(445\) | 66.5007 | 3.15244 | ||||||||
\(446\) | 15.3292 | − | 15.8315i | 0.725857 | − | 0.749642i | ||||
\(447\) | 2.11102 | + | 16.8060i | 0.0998480 | + | 0.794897i | ||||
\(448\) | −12.2742 | − | 17.2436i | −0.579903 | − | 0.814685i | ||||
\(449\) | − | 5.92979i | − | 0.279844i | −0.990163 | − | 0.139922i | \(-0.955315\pi\) | ||
0.990163 | − | 0.139922i | \(-0.0446852\pi\) | |||||||
\(450\) | 31.4770 | − | 18.3514i | 1.48384 | − | 0.865092i | ||||
\(451\) | 2.81533 | − | 1.62543i | 0.132569 | − | 0.0765385i | ||||
\(452\) | −0.629213 | + | 0.0202913i | −0.0295957 | + | 0.000954421i | ||||
\(453\) | 32.0529 | − | 24.2938i | 1.50598 | − | 1.14142i | ||||
\(454\) | −6.85364 | + | 27.3330i | −0.321657 | + | 1.28280i | ||||
\(455\) | 5.49620 | + | 9.55722i | 0.257666 | + | 0.448049i | ||||
\(456\) | −2.10043 | + | 23.6754i | −0.0983617 | + | 1.10870i | ||||
\(457\) | −30.7269 | −1.43734 | −0.718671 | − | 0.695350i | \(-0.755249\pi\) | ||||
−0.718671 | + | 0.695350i | \(0.755249\pi\) | |||||||
\(458\) | 10.6440 | + | 10.3062i | 0.497359 | + | 0.481579i | ||||
\(459\) | 20.9648 | − | 26.3361i | 0.978553 | − | 1.22926i | ||||
\(460\) | −7.69814 | + | 0.248254i | −0.358927 | + | 0.0115749i | ||||
\(461\) | −9.98931 | + | 5.76733i | −0.465248 | + | 0.268611i | −0.714249 | − | 0.699892i | \(-0.753231\pi\) |
0.249000 | + | 0.968503i | \(0.419898\pi\) | |||||||
\(462\) | −23.1343 | − | 2.84645i | −1.07630 | − | 0.132429i | ||||
\(463\) | 33.1945 | + | 19.1649i | 1.54268 | + | 0.890667i | 0.998668 | + | 0.0515888i | \(0.0164285\pi\) |
0.544011 | + | 0.839078i | \(0.316905\pi\) | |||||||
\(464\) | −0.394138 | − | 6.10456i | −0.0182974 | − | 0.283397i | ||||
\(465\) | 21.8984 | − | 2.75069i | 1.01552 | − | 0.127560i | ||||
\(466\) | −32.9826 | − | 8.27026i | −1.52789 | − | 0.383112i | ||||
\(467\) | −1.92182 | + | 3.32869i | −0.0889313 | + | 0.154033i | −0.907060 | − | 0.421002i | \(-0.861678\pi\) |
0.818128 | + | 0.575036i | \(0.195012\pi\) | |||||||
\(468\) | 4.69746 | − | 4.89266i | 0.217140 | − | 0.226163i | ||||
\(469\) | −4.57416 | − | 7.95389i | −0.211215 | − | 0.367277i | ||||
\(470\) | −13.4717 | + | 13.9132i | −0.621404 | + | 0.641767i | ||||
\(471\) | −4.32101 | + | 10.2590i | −0.199102 | + | 0.472709i | ||||
\(472\) | −1.58835 | + | 1.74990i | −0.0731097 | + | 0.0805457i | ||||
\(473\) | − | 23.9949i | − | 1.10329i | ||||||
\(474\) | −16.1000 | − | 1.95315i | −0.739498 | − | 0.0897112i | ||||
\(475\) | 36.0843 | − | 20.8333i | 1.65566 | − | 0.955895i | ||||
\(476\) | 1.04660 | + | 34.2634i | 0.0479707 | + | 1.57046i | ||||
\(477\) | −3.25359 | − | 0.913379i | −0.148972 | − | 0.0418207i | ||||
\(478\) | −4.39643 | + | 17.5334i | −0.201088 | + | 0.801959i | ||||
\(479\) | −15.7732 | + | 27.3199i | −0.720695 | + | 1.24828i | 0.240027 | + | 0.970766i | \(0.422844\pi\) |
−0.960722 | + | 0.277514i | \(0.910490\pi\) | |||||||
\(480\) | 36.0601 | + | 2.03048i | 1.64591 | + | 0.0926783i | ||||
\(481\) | 1.15996 | + | 2.00910i | 0.0528894 | + | 0.0916071i | ||||
\(482\) | −5.09771 | + | 20.3302i | −0.232194 | + | 0.926014i | ||||
\(483\) | −3.82038 | + | 2.88535i | −0.173833 | + | 0.131288i | ||||
\(484\) | −3.41329 | − | 1.82658i | −0.155149 | − | 0.0830264i | ||||
\(485\) | −34.8618 | − | 20.1274i | −1.58299 | − | 0.913940i | ||||
\(486\) | −21.8157 | − | 3.17438i | −0.989579 | − | 0.143993i | ||||
\(487\) | −0.788735 | + | 0.455376i | −0.0357410 | + | 0.0206351i | −0.517764 | − | 0.855523i | \(-0.673235\pi\) |
0.482023 | + | 0.876159i | \(0.339902\pi\) | |||||||
\(488\) | 25.7445 | − | 28.3630i | 1.16540 | − | 1.28393i | ||||
\(489\) | −9.99957 | + | 7.57895i | −0.452196 | + | 0.342732i | ||||
\(490\) | 9.89212 | + | 35.1251i | 0.446881 | + | 1.58679i | ||||
\(491\) | 5.42838 | − | 9.40224i | 0.244980 | − | 0.424317i | −0.717146 | − | 0.696923i | \(-0.754552\pi\) |
0.962126 | + | 0.272606i | \(0.0878854\pi\) | |||||||
\(492\) | −1.12174 | + | 2.92325i | −0.0505722 | + | 0.131790i | ||||
\(493\) | −4.95362 | + | 8.57992i | −0.223100 | + | 0.386420i | ||||
\(494\) | 5.39544 | − | 5.57224i | 0.242752 | − | 0.250707i | ||||
\(495\) | 28.4564 | − | 27.7878i | 1.27902 | − | 1.24897i | ||||
\(496\) | 12.3953 | + | 6.12769i | 0.556563 | + | 0.275142i | ||||
\(497\) | 5.67471 | − | 3.26343i | 0.254545 | − | 0.146385i | ||||
\(498\) | 24.2400 | − | 10.3308i | 1.08622 | − | 0.462933i | ||||
\(499\) | 8.57499 | − | 4.95078i | 0.383869 | − | 0.221627i | −0.295631 | − | 0.955302i | \(-0.595530\pi\) |
0.679500 | + | 0.733675i | \(0.262197\pi\) | |||||||
\(500\) | −13.9577 | − | 22.4702i | −0.624207 | − | 1.00490i | ||||
\(501\) | 18.6306 | + | 24.5810i | 0.832355 | + | 1.09820i | ||||
\(502\) | 15.6753 | − | 4.47220i | 0.699625 | − | 0.199604i | ||||
\(503\) | −7.43095 | −0.331330 | −0.165665 | − | 0.986182i | \(-0.552977\pi\) | ||||
−0.165665 | + | 0.986182i | \(0.552977\pi\) | |||||||
\(504\) | 19.0403 | − | 11.8940i | 0.848121 | − | 0.529803i | ||||
\(505\) | 27.0820 | 1.20513 | ||||||||
\(506\) | −5.10998 | + | 1.45789i | −0.227166 | + | 0.0648110i | ||||
\(507\) | 20.1450 | − | 2.53044i | 0.894670 | − | 0.112381i | ||||
\(508\) | −7.60306 | − | 12.2400i | −0.337331 | − | 0.543063i | ||||
\(509\) | −27.9418 | + | 16.1322i | −1.23850 | + | 0.715048i | −0.968788 | − | 0.247893i | \(-0.920262\pi\) |
−0.269712 | + | 0.962941i | \(0.586929\pi\) | |||||||
\(510\) | −46.7660 | − | 35.1346i | −2.07083 | − | 1.55579i | ||||
\(511\) | 15.7437 | + | 9.12537i | 0.696460 | + | 0.403683i | ||||
\(512\) | 18.1449 | + | 13.5190i | 0.801899 | + | 0.597460i | ||||
\(513\) | −24.9318 | − | 3.73565i | −1.10077 | − | 0.164933i | ||||
\(514\) | 17.0931 | − | 17.6532i | 0.753945 | − | 0.778651i | ||||
\(515\) | −2.15171 | + | 3.72688i | −0.0948158 | + | 0.164226i | ||||
\(516\) | 14.5462 | + | 17.9588i | 0.640360 | + | 0.790593i | ||||
\(517\) | −6.68072 | + | 11.5713i | −0.293818 | + | 0.508907i | ||||
\(518\) | 2.09412 | + | 7.38763i | 0.0920102 | + | 0.324594i | ||||
\(519\) | −14.0919 | − | 5.93541i | −0.618566 | − | 0.260536i | ||||
\(520\) | −8.72715 | − | 7.92146i | −0.382711 | − | 0.347379i | ||||
\(521\) | 2.39057 | − | 1.38020i | 0.104733 | − | 0.0604675i | −0.446719 | − | 0.894674i | \(-0.647408\pi\) |
0.551452 | + | 0.834207i | \(0.314074\pi\) | |||||||
\(522\) | 6.48829 | − | 0.0274656i | 0.283985 | − | 0.00120214i | ||||
\(523\) | 30.8196 | + | 17.7937i | 1.34765 | + | 0.778065i | 0.987916 | − | 0.154991i | \(-0.0495348\pi\) |
0.359732 | + | 0.933056i | \(0.382868\pi\) | |||||||
\(524\) | −24.7261 | − | 13.2319i | −1.08016 | − | 0.578036i | ||||
\(525\) | −36.2434 | − | 15.3381i | −1.58179 | − | 0.669410i | ||||
\(526\) | −3.99389 | + | 15.9280i | −0.174142 | + | 0.694496i | ||||
\(527\) | −11.1969 | − | 19.3936i | −0.487745 | − | 0.844799i | ||||
\(528\) | 24.4723 | − | 4.69210i | 1.06502 | − | 0.204197i | ||||
\(529\) | 10.9543 | − | 18.9734i | 0.476273 | − | 0.824929i | ||||
\(530\) | −1.42824 | + | 5.69595i | −0.0620387 | + | 0.247416i | ||||
\(531\) | −1.75125 | − | 1.79339i | −0.0759980 | − | 0.0778264i | ||||
\(532\) | 21.8310 | − | 13.5092i | 0.946493 | − | 0.585698i | ||||
\(533\) | 0.884876 | − | 0.510883i | 0.0383282 | − | 0.0221288i | ||||
\(534\) | −26.5430 | + | 35.3302i | −1.14863 | + | 1.52889i | ||||
\(535\) | − | 56.0181i | − | 2.42187i | ||||||
\(536\) | 7.26308 | + | 6.59255i | 0.313717 | + | 0.284755i | ||||
\(537\) | 22.1486 | − | 2.78211i | 0.955782 | − | 0.120057i | ||||
\(538\) | −16.2548 | + | 16.7874i | −0.700793 | + | 0.723757i | ||||
\(539\) | 12.5139 | + | 21.8460i | 0.539012 | + | 0.940975i | ||||
\(540\) | −4.45245 | + | 38.0484i | −0.191603 | + | 1.63734i | ||||
\(541\) | −8.40724 | + | 14.5618i | −0.361455 | + | 0.626059i | −0.988201 | − | 0.153165i | \(-0.951053\pi\) |
0.626745 | + | 0.779224i | \(0.284387\pi\) | |||||||
\(542\) | 11.8984 | + | 2.98348i | 0.511080 | + | 0.128151i | ||||
\(543\) | −6.18315 | + | 14.6801i | −0.265345 | + | 0.629983i | ||||
\(544\) | −12.3037 | − | 34.5191i | −0.527516 | − | 1.47999i | ||||
\(545\) | 42.4343 | + | 24.4995i | 1.81769 | + | 1.04944i | ||||
\(546\) | −7.27126 | − | 0.894659i | −0.311181 | − | 0.0382879i | ||||
\(547\) | −24.7313 | + | 14.2786i | −1.05743 | + | 0.610509i | −0.924721 | − | 0.380645i | \(-0.875702\pi\) |
−0.132712 | + | 0.991155i | \(0.542369\pi\) | |||||||
\(548\) | −37.3319 | + | 1.20390i | −1.59474 | + | 0.0514281i | ||||
\(549\) | 28.3849 | + | 29.0678i | 1.21144 | + | 1.24058i | ||||
\(550\) | −31.3817 | − | 30.3860i | −1.33812 | − | 1.29566i | ||||
\(551\) | 7.41979 | 0.316094 | ||||||||
\(552\) | 2.94073 | − | 4.18892i | 0.125166 | − | 0.178292i | ||||
\(553\) | 8.73292 | + | 15.1855i | 0.371362 | + | 0.645752i | ||||
\(554\) | −6.20673 | + | 24.7531i | −0.263699 | + | 1.05166i | ||||
\(555\) | −12.0753 | − | 5.08606i | −0.512570 | − | 0.215891i | ||||
\(556\) | −0.612199 | + | 0.0197426i | −0.0259630 | + | 0.000837273i | ||||
\(557\) | −25.4527 | + | 14.6951i | −1.07847 | + | 0.622652i | −0.930482 | − | 0.366338i | \(-0.880612\pi\) |
−0.147983 | + | 0.988990i | \(0.547278\pi\) | |||||||
\(558\) | −7.27914 | + | 12.7320i | −0.308151 | + | 0.538989i | ||||
\(559\) | − | 7.54176i | − | 0.318983i | ||||||
\(560\) | −21.5865 | − | 32.4944i | −0.912195 | − | 1.37314i | ||||
\(561\) | −37.1917 | − | 15.6649i | −1.57024 | − | 0.661373i | ||||
\(562\) | −23.0097 | + | 23.7637i | −0.970606 | + | 1.00241i | ||||
\(563\) | −17.2010 | −0.724937 | −0.362469 | − | 0.931996i | \(-0.618066\pi\) | ||||
−0.362469 | + | 0.931996i | \(0.618066\pi\) | |||||||
\(564\) | −2.01464 | − | 12.7105i | −0.0848315 | − | 0.535208i | ||||
\(565\) | −1.16030 | −0.0488144 | ||||||||
\(566\) | −4.84413 | − | 16.9790i | −0.203614 | − | 0.713679i | ||||
\(567\) | 11.3768 | + | 20.9181i | 0.477780 | + | 0.878479i | ||||
\(568\) | −4.70346 | + | 5.18185i | −0.197353 | + | 0.217425i | ||||
\(569\) | − | 0.765439i | − | 0.0320889i | −0.999871 | − | 0.0160444i | \(-0.994893\pi\) | ||
0.999871 | − | 0.0160444i | \(-0.00510732\pi\) | |||||||
\(570\) | −5.27576 | + | 43.4885i | −0.220977 | + | 1.82153i | ||||
\(571\) | 1.65866i | 0.0694127i | 0.999398 | + | 0.0347064i | \(0.0110496\pi\) | ||||
−0.999398 | + | 0.0347064i | \(0.988950\pi\) | |||||||
\(572\) | −7.16949 | − | 3.83667i | −0.299772 | − | 0.160419i | ||||
\(573\) | −6.12261 | + | 14.5364i | −0.255776 | + | 0.607265i | ||||
\(574\) | 3.25376 | − | 0.922320i | 0.135809 | − | 0.0384969i | ||||
\(575\) | −8.97215 | −0.374165 | ||||||||
\(576\) | −15.4717 | + | 18.3474i | −0.644655 | + | 0.764474i | ||||
\(577\) | −5.33017 | − | 9.23213i | −0.221898 | − | 0.384339i | 0.733486 | − | 0.679704i | \(-0.237892\pi\) |
−0.955384 | + | 0.295366i | \(0.904559\pi\) | |||||||
\(578\) | −8.58768 | + | 34.2485i | −0.357201 | + | 1.42455i | ||||
\(579\) | −7.75572 | + | 18.4137i | −0.322317 | + | 0.765247i | ||||
\(580\) | −0.363406 | − | 11.2689i | −0.0150896 | − | 0.467915i | ||||
\(581\) | −24.6236 | − | 14.2723i | −1.02156 | − | 0.592117i | ||||
\(582\) | 24.6079 | − | 10.4875i | 1.02003 | − | 0.434723i | ||||
\(583\) | 4.05143i | 0.167793i | ||||||||
\(584\) | −19.0121 | − | 4.12077i | −0.786727 | − | 0.170519i | ||||
\(585\) | 8.94403 | − | 8.73391i | 0.369790 | − | 0.361103i | ||||
\(586\) | 5.35274 | + | 1.34218i | 0.221119 | + | 0.0554448i | ||||
\(587\) | −17.4777 | − | 30.2723i | −0.721383 | − | 1.24947i | −0.960445 | − | 0.278468i | \(-0.910173\pi\) |
0.239062 | − | 0.971004i | \(-0.423160\pi\) | |||||||
\(588\) | −22.6094 | − | 8.76435i | −0.932397 | − | 0.361436i | ||||
\(589\) | −8.38566 | + | 14.5244i | −0.345525 | + | 0.598467i | ||||
\(590\) | −3.02992 | + | 3.12920i | −0.124740 | + | 0.128827i | ||||
\(591\) | −20.6302 | − | 8.68930i | −0.848613 | − | 0.357430i | ||||
\(592\) | −4.55395 | − | 6.82987i | −0.187166 | − | 0.280706i | ||||
\(593\) | 10.4609 | + | 6.03961i | 0.429578 | + | 0.248017i | 0.699167 | − | 0.714958i | \(-0.253554\pi\) |
−0.269589 | + | 0.962976i | \(0.586888\pi\) | |||||||
\(594\) | 3.40495 | + | 26.2094i | 0.139707 | + | 1.07538i | ||||
\(595\) | −0.107493 | + | 63.1802i | −0.00440680 | + | 2.59014i | ||||
\(596\) | −9.22817 | + | 17.2445i | −0.378001 | + | 0.706361i | ||||
\(597\) | 2.29975 | + | 18.3084i | 0.0941223 | + | 0.749314i | ||||
\(598\) | −1.60610 | + | 0.458224i | −0.0656784 | + | 0.0187382i | ||||
\(599\) | 26.2805 | 1.07379 | 0.536895 | − | 0.843649i | \(-0.319597\pi\) | ||||
0.536895 | + | 0.843649i | \(0.319597\pi\) | |||||||
\(600\) | 41.9080 | + | 3.71799i | 1.71089 | + | 0.151786i | ||||
\(601\) | 4.09157 | + | 7.08681i | 0.166899 | + | 0.289077i | 0.937328 | − | 0.348449i | \(-0.113291\pi\) |
−0.770429 | + | 0.637525i | \(0.779958\pi\) | |||||||
\(602\) | 6.11250 | − | 24.2026i | 0.249127 | − | 0.986425i | ||||
\(603\) | −7.44357 | + | 7.26870i | −0.303126 | + | 0.296004i | ||||
\(604\) | 46.4169 | − | 1.49688i | 1.88868 | − | 0.0609072i | ||||
\(605\) | −6.17924 | − | 3.56759i | −0.251222 | − | 0.145043i | ||||
\(606\) | −10.8095 | + | 14.3880i | −0.439106 | + | 0.584473i | ||||
\(607\) | −36.8640 | + | 21.2834i | −1.49626 | + | 0.863869i | −0.999991 | − | 0.00429768i | \(-0.998632\pi\) |
−0.496273 | + | 0.868166i | \(0.665299\pi\) | |||||||
\(608\) | −17.7814 | + | 20.9062i | −0.721132 | + | 0.847857i | ||||
\(609\) | −4.22371 | − | 5.59244i | −0.171153 | − | 0.226617i | ||||
\(610\) | 49.1099 | − | 50.7192i | 1.98840 | − | 2.05356i | ||||
\(611\) | −2.09980 | + | 3.63695i | −0.0849486 | + | 0.147135i | ||||
\(612\) | 37.3323 | − | 10.8221i | 1.50907 | − | 0.437456i | ||||
\(613\) | −23.0509 | − | 39.9254i | −0.931018 | − | 1.61257i | −0.781585 | − | 0.623799i | \(-0.785588\pi\) |
−0.149433 | − | 0.988772i | \(-0.547745\pi\) | |||||||
\(614\) | −1.99061 | − | 6.97719i | −0.0803343 | − | 0.281577i | ||||
\(615\) | −2.24007 | + | 5.31839i | −0.0903284 | + | 0.214458i | ||||
\(616\) | −19.8984 | − | 18.1232i | −0.801729 | − | 0.730205i | ||||
\(617\) | −19.9837 | − | 11.5376i | −0.804515 | − | 0.464487i | 0.0405327 | − | 0.999178i | \(-0.487095\pi\) |
−0.845047 | + | 0.534691i | \(0.820428\pi\) | |||||||
\(618\) | −1.12117 | − | 2.63069i | −0.0450999 | − | 0.105822i | ||||
\(619\) | −19.1629 | − | 11.0637i | −0.770222 | − | 0.444688i | 0.0627318 | − | 0.998030i | \(-0.480019\pi\) |
−0.832954 | + | 0.553343i | \(0.813352\pi\) | |||||||
\(620\) | 22.4698 | + | 12.0244i | 0.902407 | + | 0.482913i | ||||
\(621\) | 4.24717 | + | 3.38095i | 0.170433 | + | 0.135673i | ||||
\(622\) | 7.82568 | − | 2.23268i | 0.313781 | − | 0.0895223i | ||||
\(623\) | 47.7306 | + | 0.0812077i | 1.91228 | + | 0.00325352i | ||||
\(624\) | 7.69182 | − | 1.47476i | 0.307919 | − | 0.0590376i | ||||
\(625\) | −2.90707 | − | 5.03519i | −0.116283 | − | 0.201407i | ||||
\(626\) | −3.23836 | + | 0.923909i | −0.129431 | + | 0.0369268i | ||||
\(627\) | 3.76684 | + | 29.9881i | 0.150433 | + | 1.19761i | ||||
\(628\) | −10.9189 | + | 6.78243i | −0.435711 | + | 0.270648i | ||||
\(629\) | 13.2947i | 0.530094i | ||||||||
\(630\) | 35.7814 | − | 20.7794i | 1.42557 | − | 0.827870i | ||||
\(631\) | 45.8081i | 1.82359i | 0.410642 | + | 0.911797i | \(0.365305\pi\) | ||||
−0.410642 | + | 0.911797i | \(0.634695\pi\) | |||||||
\(632\) | −13.8666 | − | 12.5864i | −0.551583 | − | 0.500661i | ||||
\(633\) | −0.774623 | + | 0.587108i | −0.0307885 | + | 0.0233355i | ||||
\(634\) | −4.29022 | − | 15.0375i | −0.170387 | − | 0.597216i | ||||
\(635\) | −13.2788 | − | 22.9995i | −0.526951 | − | 0.912706i | ||||
\(636\) | −2.45605 | − | 3.03226i | −0.0973888 | − | 0.120237i | ||||
\(637\) | 3.93320 | + | 6.86636i | 0.155839 | + | 0.272055i | ||||
\(638\) | −2.13412 | − | 7.48022i | −0.0844906 | − | 0.296145i | ||||
\(639\) | −5.18586 | − | 5.31062i | −0.205149 | − | 0.210085i | ||||
\(640\) | 32.6223 | + | 25.9818i | 1.28951 | + | 1.02702i | ||||
\(641\) | 1.63602 | + | 0.944559i | 0.0646191 | + | 0.0373078i | 0.531961 | − | 0.846769i | \(-0.321455\pi\) |
−0.467342 | + | 0.884076i | \(0.654788\pi\) | |||||||
\(642\) | 29.7610 | + | 22.3590i | 1.17457 | + | 0.882439i | ||||
\(643\) | −13.3963 | − | 7.73434i | −0.528297 | − | 0.305013i | 0.212025 | − | 0.977264i | \(-0.431994\pi\) |
−0.740323 | + | 0.672251i | \(0.765327\pi\) | |||||||
\(644\) | −5.52560 | + | 0.168783i | −0.217739 | + | 0.00665097i | ||||
\(645\) | 25.7292 | + | 33.9468i | 1.01309 | + | 1.33665i | ||||
\(646\) | 42.7435 | − | 12.1948i | 1.68172 | − | 0.479798i | ||||
\(647\) | −3.68660 | − | 6.38537i | −0.144935 | − | 0.251035i | 0.784414 | − | 0.620238i | \(-0.212964\pi\) |
−0.929349 | + | 0.369203i | \(0.879631\pi\) | |||||||
\(648\) | −18.4370 | − | 17.5521i | −0.724275 | − | 0.689511i | ||||
\(649\) | −1.50256 | + | 2.60250i | −0.0589805 | + | 0.102157i | ||||
\(650\) | −9.86348 | − | 9.55052i | −0.386877 | − | 0.374602i | ||||
\(651\) | 15.7208 | − | 1.94755i | 0.616149 | − | 0.0763306i | ||||
\(652\) | −14.4807 | + | 0.466983i | −0.567109 | + | 0.0182885i | ||||
\(653\) | 43.2008 | − | 24.9420i | 1.69058 | − | 0.976055i | 0.736528 | − | 0.676407i | \(-0.236464\pi\) |
0.954050 | − | 0.299648i | \(-0.0968693\pi\) | |||||||
\(654\) | −29.9532 | + | 12.7656i | −1.17126 | + | 0.499175i | ||||
\(655\) | −44.7628 | − | 25.8438i | −1.74903 | − | 1.00980i | ||||
\(656\) | −3.00811 | + | 2.00571i | −0.117447 | + | 0.0783099i | ||||
\(657\) | 5.57688 | − | 19.8657i | 0.217575 | − | 0.775033i | ||||
\(658\) | −9.68625 | + | 9.96966i | −0.377609 | + | 0.388658i | ||||
\(659\) | 10.8898 | + | 18.8616i | 0.424205 | + | 0.734745i | 0.996346 | − | 0.0854106i | \(-0.0272202\pi\) |
−0.572141 | + | 0.820155i | \(0.693887\pi\) | |||||||
\(660\) | 45.3602 | − | 7.18968i | 1.76564 | − | 0.279858i | ||||
\(661\) | −7.83210 | −0.304634 | −0.152317 | − | 0.988332i | \(-0.548673\pi\) | ||||
−0.152317 | + | 0.988332i | \(0.548673\pi\) | |||||||
\(662\) | 3.66591 | + | 12.8492i | 0.142480 | + | 0.499400i | ||||
\(663\) | −11.6896 | − | 4.92359i | −0.453987 | − | 0.191216i | ||||
\(664\) | 29.7355 | + | 6.44501i | 1.15396 | + | 0.250115i | ||||
\(665\) | 41.0183 | − | 23.5889i | 1.59062 | − | 0.914740i | ||||
\(666\) | 7.52183 | − | 4.38529i | 0.291465 | − | 0.169927i | ||||
\(667\) | −1.38367 | − | 0.798860i | −0.0535758 | − | 0.0309320i | ||||
\(668\) | 1.14794 | + | 35.5966i | 0.0444152 | + | 1.37727i | ||||
\(669\) | 3.36374 | + | 26.7790i | 0.130050 | + | 1.03533i | ||||
\(670\) | 12.9880 | + | 12.5759i | 0.501769 | + | 0.485848i | ||||
\(671\) | 24.3539 | − | 42.1823i | 0.940174 | − | 1.62843i | ||||
\(672\) | 25.8794 | + | 1.50140i | 0.998321 | + | 0.0579178i | ||||
\(673\) | 14.7309 | + | 25.5146i | 0.567833 | + | 0.983516i | 0.996780 | + | 0.0801864i | \(0.0255515\pi\) |
−0.428947 | + | 0.903330i | \(0.641115\pi\) | |||||||
\(674\) | −6.31273 | + | 25.1758i | −0.243157 | + | 0.969735i | ||||
\(675\) | −6.61251 | + | 44.1321i | −0.254516 | + | 1.69864i | ||||
\(676\) | 20.6706 | + | 11.0616i | 0.795021 | + | 0.425446i | ||||
\(677\) | − | 23.3331i | − | 0.896764i | −0.893842 | − | 0.448382i | \(-0.852000\pi\) | ||
0.893842 | − | 0.448382i | \(-0.148000\pi\) | |||||||
\(678\) | 0.463122 | − | 0.616441i | 0.0177861 | − | 0.0236743i | ||||
\(679\) | −24.9973 | − | 14.4889i | −0.959307 | − | 0.556035i | ||||
\(680\) | −20.6145 | − | 64.3199i | −0.790528 | − | 2.46655i | ||||
\(681\) | −20.8466 | − | 27.5048i | −0.798845 | − | 1.05399i | ||||
\(682\) | 17.0546 | + | 4.27638i | 0.653055 | + | 0.163751i | ||||
\(683\) | −5.29091 | − | 9.16412i | −0.202451 | − | 0.350655i | 0.746867 | − | 0.664974i | \(-0.231557\pi\) |
−0.949318 | + | 0.314319i | \(0.898224\pi\) | |||||||
\(684\) | −20.9986 | − | 20.1608i | −0.802903 | − | 0.770869i | ||||
\(685\) | −68.8420 | −2.63032 | ||||||||
\(686\) | 7.05713 | + | 25.2229i | 0.269442 | + | 0.963017i | ||||
\(687\) | −18.0043 | + | 2.26154i | −0.686906 | + | 0.0862831i | ||||
\(688\) | 1.71939 | + | 26.6307i | 0.0655512 | + | 1.01528i | ||||
\(689\) | 1.27339i | 0.0485123i | ||||||||
\(690\) | 5.66609 | − | 7.54187i | 0.215704 | − | 0.287114i | ||||
\(691\) | − | 12.3492i | − | 0.469786i | −0.972021 | − | 0.234893i | \(-0.924526\pi\) | ||
0.972021 | − | 0.234893i | \(-0.0754740\pi\) | |||||||
\(692\) | −9.31646 | − | 14.9984i | −0.354159 | − | 0.570153i | ||||
\(693\) | 20.4584 | − | 19.9098i | 0.777149 | − | 0.756312i | ||||
\(694\) | 45.9752 | − | 13.1168i | 1.74520 | − | 0.497907i | ||||
\(695\) | −1.12893 | −0.0428227 | ||||||||
\(696\) | 6.13192 | + | 4.30478i | 0.232430 | + | 0.163172i | ||||
\(697\) | 5.85543 | 0.221790 | ||||||||
\(698\) | 15.0646 | + | 14.5866i | 0.570204 | + | 0.552113i | ||||
\(699\) | 33.1899 | − | 25.1556i | 1.25536 | − | 0.951472i | ||||
\(700\) | −23.9128 | − | 38.6432i | −0.903818 | − | 1.46058i | ||||
\(701\) | − | 8.26934i | − | 0.312329i | −0.987731 | − | 0.156164i | \(-0.950087\pi\) | ||
0.987731 | − | 0.156164i | \(-0.0499130\pi\) | |||||||
\(702\) | 1.07020 | + | 8.23778i | 0.0403921 | + | 0.310915i | ||||
\(703\) | 8.62279 | − | 4.97837i | 0.325215 | − | 0.187763i | ||||
\(704\) | 26.1908 | + | 11.9131i | 0.987104 | + | 0.448992i | ||||
\(705\) | −2.95616 | − | 23.5342i | −0.111335 | − | 0.886348i | ||||
\(706\) | −34.8485 | − | 8.73812i | −1.31154 | − | 0.328864i | ||||
\(707\) | 19.4380 | + | 0.0330714i | 0.731041 | + | 0.00124378i | ||||
\(708\) | −0.453111 | − | 2.85871i | −0.0170289 | − | 0.107437i | ||||
\(709\) | 5.36467 | 0.201475 | 0.100737 | − | 0.994913i | \(-0.467880\pi\) | ||||
0.100737 | + | 0.994913i | \(0.467880\pi\) | |||||||
\(710\) | −8.97226 | + | 9.26627i | −0.336723 | + | 0.347757i | ||||
\(711\) | 14.2112 | − | 13.8773i | 0.532961 | − | 0.520440i | ||||
\(712\) | −48.5915 | + | 15.5735i | −1.82104 | + | 0.583643i | ||||
\(713\) | 3.12757 | − | 1.80570i | 0.117128 | − | 0.0676242i | ||||
\(714\) | −33.5232 | − | 25.2748i | −1.25457 | − | 0.945885i | ||||
\(715\) | −12.9793 | − | 7.49359i | −0.485398 | − | 0.280245i | ||||
\(716\) | 22.7264 | + | 12.1618i | 0.849327 | + | 0.454507i | ||||
\(717\) | −13.3726 | − | 17.6436i | −0.499408 | − | 0.658913i | ||||
\(718\) | −5.00269 | + | 19.9512i | −0.186699 | + | 0.744573i | ||||
\(719\) | 3.38933 | − | 5.87049i | 0.126401 | − | 0.218932i | −0.795879 | − | 0.605456i | \(-0.792991\pi\) |
0.922280 | + | 0.386524i | \(0.126324\pi\) | |||||||
\(720\) | −29.5910 | + | 32.8793i | −1.10279 | + | 1.22534i | ||||
\(721\) | −1.54893 | + | 2.67232i | −0.0576853 | + | 0.0995224i | ||||
\(722\) | −4.61151 | − | 4.46519i | −0.171623 | − | 0.166177i | ||||
\(723\) | −15.5057 | − | 20.4580i | −0.576662 | − | 0.760840i | ||||
\(724\) | −15.6244 | + | 9.70532i | −0.580676 | + | 0.360695i | ||||
\(725\) | − | 13.1338i | − | 0.487778i | ||||||
\(726\) | 4.36174 | − | 1.85892i | 0.161880 | − | 0.0689908i | ||||
\(727\) | 3.83172 | − | 2.21224i | 0.142110 | − | 0.0820475i | −0.427259 | − | 0.904129i | \(-0.640521\pi\) |
0.569369 | + | 0.822082i | \(0.307187\pi\) | |||||||
\(728\) | −6.25420 | − | 5.69625i | −0.231796 | − | 0.211117i | ||||
\(729\) | 19.7604 | − | 18.3991i | 0.731865 | − | 0.681449i | ||||
\(730\) | −34.7782 | − | 8.72049i | −1.28720 | − | 0.322760i | ||||
\(731\) | 21.6097 | − | 37.4292i | 0.799265 | − | 1.38437i | ||||
\(732\) | 7.34417 | + | 46.3349i | 0.271448 | + | 1.71259i | ||||
\(733\) | −20.7029 | − | 35.8585i | −0.764679 | − | 1.32446i | −0.940416 | − | 0.340025i | \(-0.889564\pi\) |
0.175738 | − | 0.984437i | \(-0.443769\pi\) | |||||||
\(734\) | −19.7928 | − | 4.96298i | −0.730567 | − | 0.183187i | ||||
\(735\) | −41.1291 | − | 17.4883i | −1.51707 | − | 0.645066i | ||||
\(736\) | 5.56683 | − | 1.98419i | 0.205196 | − | 0.0731383i | ||||
\(737\) | 10.8019 | + | 6.23646i | 0.397892 | + | 0.229723i | ||||
\(738\) | −1.93143 | − | 3.31287i | −0.0710969 | − | 0.121948i | ||||
\(739\) | 12.0981 | − | 6.98485i | 0.445037 | − | 0.256942i | −0.260695 | − | 0.965421i | \(-0.583952\pi\) |
0.705732 | + | 0.708479i | \(0.250618\pi\) | |||||||
\(740\) | −7.98327 | − | 12.8521i | −0.293471 | − | 0.472453i | ||||
\(741\) | 1.18394 | + | 9.42546i | 0.0434933 | + | 0.346253i | ||||
\(742\) | −1.03207 | + | 4.08650i | −0.0378883 | + | 0.150020i | ||||
\(743\) | 8.17429 | − | 14.1583i | 0.299886 | − | 0.519417i | −0.676224 | − | 0.736696i | \(-0.736385\pi\) |
0.976110 | + | 0.217279i | \(0.0697181\pi\) | |||||||
\(744\) | −15.3568 | + | 7.13821i | −0.563009 | + | 0.261700i | ||||
\(745\) | −18.0240 | + | 31.2185i | −0.660349 | + | 1.14376i | ||||
\(746\) | 1.33883 | + | 1.29635i | 0.0490182 | + | 0.0474629i | ||||
\(747\) | −8.72240 | + | 31.0705i | −0.319136 | + | 1.13681i | ||||
\(748\) | −24.5882 | − | 39.5841i | −0.899035 | − | 1.44734i | ||||
\(749\) | 0.0684068 | − | 40.2067i | 0.00249953 | − | 1.46912i | ||||
\(750\) | 32.1616 | + | 3.90164i | 1.17438 | + | 0.142468i | ||||
\(751\) | 40.1194 | − | 23.1629i | 1.46398 | − | 0.845227i | 0.464784 | − | 0.885424i | \(-0.346132\pi\) |
0.999192 | + | 0.0401971i | \(0.0127986\pi\) | |||||||
\(752\) | 6.58541 | − | 13.3211i | 0.240145 | − | 0.485771i | ||||
\(753\) | −7.74951 | + | 18.3989i | −0.282408 | + | 0.670494i | ||||
\(754\) | −0.670768 | − | 2.35108i | −0.0244279 | − | 0.0856214i | ||||
\(755\) | 85.5953 | 3.11513 | ||||||||
\(756\) | −3.24218 | + | 27.3036i | −0.117917 | + | 0.993023i | ||||
\(757\) | 18.2447 | 0.663115 | 0.331558 | − | 0.943435i | \(-0.392426\pi\) | ||||
0.331558 | + | 0.943435i | \(0.392426\pi\) | |||||||
\(758\) | 7.55654 | + | 26.4861i | 0.274466 | + | 0.962020i | ||||
\(759\) | 2.52625 | − | 5.99784i | 0.0916971 | − | 0.217708i | ||||
\(760\) | −33.9978 | + | 37.4557i | −1.23323 | + | 1.35866i | ||||
\(761\) | 13.2289 | − | 7.63773i | 0.479548 | − | 0.276867i | −0.240680 | − | 0.970605i | \(-0.577370\pi\) |
0.720228 | + | 0.693737i | \(0.244037\pi\) | |||||||
\(762\) | 17.5191 | + | 2.12531i | 0.634651 | + | 0.0769918i | ||||
\(763\) | 30.4271 | + | 17.6362i | 1.10154 | + | 0.638473i | ||||
\(764\) | −15.4714 | + | 9.61029i | −0.559736 | + | 0.347688i | ||||
\(765\) | 69.4142 | − | 17.7180i | 2.50967 | − | 0.640594i | ||||
\(766\) | 2.35263 | + | 2.27799i | 0.0850041 | + | 0.0823070i | ||||
\(767\) | −0.472264 | + | 0.817985i | −0.0170525 | + | 0.0295357i | ||||
\(768\) | −26.8243 | + | 6.96111i | −0.967938 | + | 0.251187i | ||||
\(769\) | 20.8322 | − | 36.0824i | 0.751227 | − | 1.30116i | −0.196001 | − | 0.980604i | \(-0.562795\pi\) |
0.947228 | − | 0.320560i | \(-0.103871\pi\) | |||||||
\(770\) | −35.5790 | − | 34.5676i | −1.28218 | − | 1.24573i | ||||
\(771\) | 3.75082 | + | 29.8605i | 0.135082 | + | 1.07540i | ||||
\(772\) | −19.5982 | + | 12.1737i | −0.705354 | + | 0.438140i | ||||
\(773\) | −1.49050 | + | 0.860538i | −0.0536094 | + | 0.0309514i | −0.526565 | − | 0.850135i | \(-0.676520\pi\) |
0.472956 | + | 0.881086i | \(0.343187\pi\) | |||||||
\(774\) | −28.3046 | + | 0.119816i | −1.01739 | + | 0.00430671i | ||||
\(775\) | 25.7098 | + | 14.8435i | 0.923522 | + | 0.533195i | ||||
\(776\) | 30.1868 | + | 6.54282i | 1.08364 | + | 0.234874i | ||||
\(777\) | −8.66081 | − | 3.66524i | −0.310705 | − | 0.131490i | ||||
\(778\) | 0.620131 | + | 0.155495i | 0.0222328 | + | 0.00557478i | ||||
\(779\) | −2.19264 | − | 3.79777i | −0.0785595 | − | 0.136069i | ||||
\(780\) | 14.2570 | − | 2.25977i | 0.510483 | − | 0.0809126i | ||||
\(781\) | −4.44941 | + | 7.70660i | −0.159212 | + | 0.275764i | ||||
\(782\) | −9.28392 | − | 2.32791i | −0.331992 | − | 0.0832458i | ||||
\(783\) | −4.94919 | + | 6.21720i | −0.176870 | + | 0.222184i | ||||
\(784\) | −15.4539 | − | 23.3490i | −0.551925 | − | 0.833894i | ||||
\(785\) | −20.5171 | + | 11.8455i | −0.732285 | + | 0.422785i | ||||
\(786\) | 31.5967 | − | 13.4661i | 1.12702 | − | 0.480320i | ||||
\(787\) | 34.6912i | 1.23661i | 0.785939 | + | 0.618304i | \(0.212180\pi\) | ||||
−0.785939 | + | 0.618304i | \(0.787820\pi\) | |||||||
\(788\) | −13.6391 | − | 21.9573i | −0.485872 | − | 0.782195i | ||||
\(789\) | −12.1482 | − | 16.0282i | −0.432487 | − | 0.570618i | ||||
\(790\) | −24.7965 | − | 24.0097i | −0.882219 | − | 0.854227i | ||||
\(791\) | −0.832803 | − | 0.00141691i | −0.0296110 | − | 5.03795e-5i | ||||
\(792\) | −14.2853 | + | 26.9684i | −0.507607 | + | 0.958282i | ||||
\(793\) | 7.65461 | − | 13.2582i | 0.271823 | − | 0.470812i | ||||
\(794\) | 9.89863 | − | 39.4767i | 0.351289 | − | 1.40098i | ||||
\(795\) | −4.34426 | − | 5.73176i | −0.154075 | − | 0.203284i | ||||
\(796\) | −10.0532 | + | 18.7861i | −0.356325 | + | 0.665855i | ||||
\(797\) | −25.7110 | − | 14.8443i | −0.910731 | − | 0.525811i | −0.0300650 | − | 0.999548i | \(-0.509571\pi\) |
−0.880666 | + | 0.473737i | \(0.842905\pi\) | |||||||
\(798\) | −3.83975 | + | 31.2072i | −0.135926 | + | 1.10472i | ||||
\(799\) | −20.8422 | + | 12.0333i | −0.737345 | + | 0.425706i | ||||
\(800\) | 37.0062 | + | 31.4751i | 1.30837 | + | 1.11281i | ||||
\(801\) | −13.3853 | − | 52.4401i | −0.472948 | − | 1.85288i | ||||
\(802\) | −11.6297 | + | 12.0108i | −0.410659 | + | 0.424115i | ||||
\(803\) | −24.7371 | −0.872952 | ||||||||
\(804\) | −11.8653 | + | 1.88067i | −0.418455 | + | 0.0663260i | ||||
\(805\) | −10.1890 | − | 0.0173353i | −0.359113 | − | 0.000610987i | ||||
\(806\) | 5.36038 | + | 1.34409i | 0.188811 | + | 0.0473437i | ||||
\(807\) | −3.56686 | − | 28.3960i | −0.125559 | − | 0.999586i | ||||
\(808\) | −19.7886 | + | 6.34223i | −0.696161 | + | 0.223119i | ||||
\(809\) | 21.1767 | − | 12.2264i | 0.744534 | − | 0.429857i | −0.0791818 | − | 0.996860i | \(-0.525231\pi\) |
0.823715 | + | 0.567004i | \(0.191897\pi\) | |||||||
\(810\) | −32.9209 | − | 33.4287i | −1.15672 | − | 1.17456i | ||||
\(811\) | − | 34.3972i | − | 1.20785i | −0.797042 | − | 0.603924i | \(-0.793603\pi\) | ||
0.797042 | − | 0.603924i | \(-0.206397\pi\) | |||||||
\(812\) | −0.247072 | − | 8.08862i | −0.00867051 | − | 0.283855i | ||||
\(813\) | −11.9732 | + | 9.07482i | −0.419918 | + | 0.318268i | ||||
\(814\) | −7.49905 | − | 7.26111i | −0.262842 | − | 0.254502i | ||||
\(815\) | −26.7032 | −0.935374 | ||||||||
\(816\) | 42.3996 | + | 14.7206i | 1.48428 | + | 0.515324i | ||||
\(817\) | −32.3682 | −1.13242 | ||||||||
\(818\) | 48.7561 | − | 13.9102i | 1.70472 | − | 0.486358i | ||||
\(819\) | 6.43020 | − | 6.25780i | 0.224689 | − | 0.218665i | ||||
\(820\) | −5.66050 | + | 3.51610i | −0.197673 | + | 0.122788i | ||||
\(821\) | 22.4377i | 0.783079i | 0.920161 | + | 0.391540i | \(0.128057\pi\) | ||||
−0.920161 | + | 0.391540i | \(0.871943\pi\) | |||||||
\(822\) | 27.4775 | − | 36.5741i | 0.958388 | − | 1.27567i | ||||
\(823\) | 25.4294i | 0.886412i | 0.896420 | + | 0.443206i | \(0.146159\pi\) | ||||
−0.896420 | + | 0.443206i | \(0.853841\pi\) | |||||||
\(824\) | 0.699457 | − | 3.22710i | 0.0243667 | − | 0.112421i | ||||
\(825\) | 53.0822 | − | 6.66773i | 1.84809 | − | 0.232140i | ||||
\(826\) | −2.17853 | + | 2.24227i | −0.0758007 | + | 0.0780185i | ||||
\(827\) | 51.6448 | 1.79587 | 0.897934 | − | 0.440131i | \(-0.145068\pi\) | ||||
0.897934 | + | 0.440131i | \(0.145068\pi\) | |||||||
\(828\) | 1.74525 | + | 6.02051i | 0.0606517 | + | 0.209227i | ||||
\(829\) | −6.19638 | − | 10.7324i | −0.215209 | − | 0.372753i | 0.738128 | − | 0.674661i | \(-0.235710\pi\) |
−0.953337 | + | 0.301907i | \(0.902377\pi\) | |||||||
\(830\) | 54.3941 | + | 13.6391i | 1.88805 | + | 0.473420i | ||||
\(831\) | −18.8790 | − | 24.9087i | −0.654904 | − | 0.864072i | ||||
\(832\) | 8.23195 | + | 3.74437i | 0.285392 | + | 0.129813i | ||||
\(833\) | −0.154306 | + | 45.3471i | −0.00534637 | + | 1.57119i | ||||
\(834\) | 0.450600 | − | 0.599772i | 0.0156030 | − | 0.0207684i | ||||
\(835\) | 65.6421i | 2.27164i | ||||||||
\(836\) | −16.4664 | + | 30.7705i | −0.569504 | + | 1.06422i | ||||
\(837\) | −6.57684 | − | 16.7147i | −0.227329 | − | 0.577743i | ||||
\(838\) | 8.52516 | − | 33.9992i | 0.294497 | − | 1.17448i | ||||
\(839\) | 21.4887 | + | 37.2196i | 0.741873 | + | 1.28496i | 0.951641 | + | 0.307211i | \(0.0993958\pi\) |
−0.209768 | + | 0.977751i | \(0.567271\pi\) | |||||||
\(840\) | 47.5844 | + | 4.30320i | 1.64182 | + | 0.148474i | ||||
\(841\) | −13.3306 | + | 23.0893i | −0.459676 | + | 0.796181i | ||||
\(842\) | 25.5155 | + | 24.7059i | 0.879322 | + | 0.851422i | ||||
\(843\) | −5.04912 | − | 40.1964i | −0.173901 | − | 1.38444i | ||||
\(844\) | −1.12176 | + | 0.0361752i | −0.0386125 | + | 0.00124520i | ||||
\(845\) | 37.4209 | + | 21.6050i | 1.28732 | + | 0.743234i | ||||
\(846\) | 13.6830 | + | 7.82286i | 0.470432 | + | 0.268955i | ||||
\(847\) | −4.43076 | − | 2.56816i | −0.152243 | − | 0.0882431i | ||||
\(848\) | −0.290311 | − | 4.49646i | −0.00996933 | − | 0.154409i | ||||
\(849\) | 19.9291 | + | 8.39399i | 0.683964 | + | 0.288081i | ||||
\(850\) | −21.5861 | − | 75.6607i | −0.740398 | − | 2.59514i | ||||
\(851\) | −2.14401 | −0.0734957 | ||||||||
\(852\) | −1.34176 | − | 8.46527i | −0.0459680 | − | 0.290015i | ||||
\(853\) | 21.9724 | + | 38.0573i | 0.752320 | + | 1.30306i | 0.946696 | + | 0.322130i | \(0.104399\pi\) |
−0.194375 | + | 0.980927i | \(0.562268\pi\) | |||||||
\(854\) | 35.3103 | − | 36.3435i | 1.20829 | − | 1.24365i | ||||
\(855\) | −37.4847 | − | 38.3865i | −1.28195 | − | 1.31279i | ||||
\(856\) | 13.1187 | + | 40.9320i | 0.448387 | + | 1.39903i | ||||
\(857\) | −22.1891 | − | 12.8109i | −0.757967 | − | 0.437612i | 0.0705984 | − | 0.997505i | \(-0.477509\pi\) |
−0.828565 | + | 0.559892i | \(0.810842\pi\) | |||||||
\(858\) | 9.16170 | − | 3.90459i | 0.312775 | − | 0.133300i | ||||
\(859\) | 3.67684 | − | 2.12282i | 0.125452 | − | 0.0724298i | −0.435961 | − | 0.899966i | \(-0.643591\pi\) |
0.561413 | + | 0.827536i | \(0.310258\pi\) | |||||||
\(860\) | 1.58533 | + | 49.1595i | 0.0540592 | + | 1.67633i | ||||
\(861\) | −1.61429 | + | 3.81451i | −0.0550150 | + | 0.129998i | ||||
\(862\) | 6.41802 | + | 6.21438i | 0.218599 | + | 0.211663i | ||||
\(863\) | −3.42515 | + | 5.93253i | −0.116593 | + | 0.201946i | −0.918416 | − | 0.395617i | \(-0.870531\pi\) |
0.801822 | + | 0.597563i | \(0.203864\pi\) | |||||||
\(864\) | −5.65704 | − | 28.8444i | −0.192457 | − | 0.981305i | ||||
\(865\) | −16.2712 | − | 28.1826i | −0.553238 | − | 0.958236i | ||||
\(866\) | −37.2990 | + | 10.6415i | −1.26747 | + | 0.361612i | ||||
\(867\) | −26.1211 | − | 34.4638i | −0.887119 | − | 1.17045i | ||||
\(868\) | 16.1129 | + | 8.65791i | 0.546907 | + | 0.293869i | ||||
\(869\) | −20.6228 | − | 11.9066i | −0.699580 | − | 0.403903i | ||||
\(870\) | 11.0401 | + | 8.29427i | 0.374295 | + | 0.281202i | ||||
\(871\) | 3.39510 | + | 1.96016i | 0.115039 | + | 0.0664176i | ||||
\(872\) | −36.7439 | − | 7.96404i | −1.24430 | − | 0.269696i | ||||
\(873\) | −8.85477 | + | 31.5420i | −0.299689 | + | 1.06754i | ||||
\(874\) | 1.96663 | + | 6.89317i | 0.0665223 | + | 0.233165i | ||||
\(875\) | −17.4450 | − | 30.3347i | −0.589749 | − | 1.02550i | ||||
\(876\) | 18.5143 | − | 14.9961i | 0.625540 | − | 0.506671i | ||||
\(877\) | 18.9329 | + | 32.7927i | 0.639318 | + | 1.10733i | 0.985583 | + | 0.169195i | \(0.0541166\pi\) |
−0.346265 | + | 0.938137i | \(0.612550\pi\) | |||||||
\(878\) | −1.97836 | − | 6.93427i | −0.0667664 | − | 0.234020i | ||||
\(879\) | −5.38638 | + | 4.08249i | −0.181678 | + | 0.137699i | ||||
\(880\) | 47.5394 | + | 23.5015i | 1.60255 | + | 0.792236i | ||||
\(881\) | − | 0.333275i | − | 0.0112283i | −0.999984 | − | 0.00561416i | \(-0.998213\pi\) | ||
0.999984 | − | 0.00561416i | \(-0.00178705\pi\) | |||||||
\(882\) | 25.7073 | − | 14.8706i | 0.865610 | − | 0.500719i | ||||
\(883\) | − | 46.2921i | − | 1.55785i | −0.627114 | − | 0.778927i | \(-0.715764\pi\) | ||
0.627114 | − | 0.778927i | \(-0.284236\pi\) | |||||||
\(884\) | −7.72825 | − | 12.4416i | −0.259929 | − | 0.418455i | ||||
\(885\) | −0.664867 | − | 5.29305i | −0.0223493 | − | 0.177924i | ||||
\(886\) | −5.38184 | + | 1.53545i | −0.180807 | + | 0.0515844i | ||||
\(887\) | 21.0495 | + | 36.4589i | 0.706775 | + | 1.22417i | 0.966047 | + | 0.258366i | \(0.0831839\pi\) |
−0.259273 | + | 0.965804i | \(0.583483\pi\) | |||||||
\(888\) | 10.0144 | + | 0.888461i | 0.336063 | + | 0.0298148i | ||||
\(889\) | −9.50267 | − | 16.5240i | −0.318709 | − | 0.554196i | ||||
\(890\) | −90.4376 | + | 25.8020i | −3.03147 | + | 0.864885i | ||||
\(891\) | −27.6402 | − | 16.8465i | −0.925983 | − | 0.564379i | ||||
\(892\) | −14.7043 | + | 27.4776i | −0.492337 | + | 0.920019i | ||||
\(893\) | 15.6093 | + | 9.01203i | 0.522345 | + | 0.301576i | ||||
\(894\) | −9.39154 | − | 22.0362i | −0.314100 | − | 0.737002i | ||||
\(895\) | 41.1428 | + | 23.7538i | 1.37525 | + | 0.794002i | ||||
\(896\) | 23.3828 | + | 18.6881i | 0.781164 | + | 0.624326i | ||||
\(897\) | 0.794018 | − | 1.88516i | 0.0265115 | − | 0.0629437i | ||||
\(898\) | 2.30073 | + | 8.06421i | 0.0767764 | + | 0.269106i | ||||
\(899\) | 2.64327 | + | 4.57828i | 0.0881580 | + | 0.152694i | ||||
\(900\) | −35.6869 | + | 37.1699i | −1.18956 | + | 1.23900i | ||||
\(901\) | −3.64870 | + | 6.31974i | −0.121556 | + | 0.210541i | ||||
\(902\) | −3.19804 | + | 3.30283i | −0.106483 | + | 0.109972i | ||||
\(903\) | 18.4256 | + | 24.3966i | 0.613165 | + | 0.811867i | ||||
\(904\) | 0.847825 | − | 0.271727i | 0.0281982 | − | 0.00903751i | ||||
\(905\) | −29.3589 | + | 16.9504i | −0.975922 | + | 0.563449i | ||||
\(906\) | −34.1644 | + | 45.4746i | −1.13504 | + | 1.51079i | ||||
\(907\) | 12.5719 | + | 7.25841i | 0.417444 | + | 0.241011i | 0.693983 | − | 0.719991i | \(-0.255854\pi\) |
−0.276539 | + | 0.961003i | \(0.589188\pi\) | |||||||
\(908\) | −1.28448 | − | 39.8306i | −0.0426271 | − | 1.32183i | ||||
\(909\) | −5.45110 | − | 21.3559i | −0.180802 | − | 0.708331i | ||||
\(910\) | −11.1827 | − | 10.8648i | −0.370703 | − | 0.360165i | ||||
\(911\) | −4.19622 | − | 7.26807i | −0.139027 | − | 0.240802i | 0.788102 | − | 0.615545i | \(-0.211064\pi\) |
−0.927129 | + | 0.374743i | \(0.877731\pi\) | |||||||
\(912\) | −6.32946 | − | 33.0122i | −0.209589 | − | 1.09314i | ||||
\(913\) | 38.6895 | 1.28044 | ||||||||
\(914\) | 41.7869 | − | 11.9219i | 1.38219 | − | 0.394341i | ||||
\(915\) | 10.7764 | + | 85.7916i | 0.356257 | + | 2.83618i | ||||
\(916\) | −18.4740 | − | 9.88614i | −0.610398 | − | 0.326647i | ||||
\(917\) | −32.0967 | − | 18.6039i | −1.05993 | − | 0.614356i | ||||
\(918\) | −18.2928 | + | 43.9499i | −0.603751 | + | 1.45056i | ||||
\(919\) | 49.1071 | + | 28.3520i | 1.61990 | + | 0.935247i | 0.986946 | + | 0.161054i | \(0.0514892\pi\) |
0.632949 | + | 0.774193i | \(0.281844\pi\) | |||||||
\(920\) | 10.3727 | − | 3.32445i | 0.341979 | − | 0.109604i | ||||
\(921\) | 8.18948 | + | 3.44935i | 0.269853 | + | 0.113660i | ||||
\(922\) | 11.3472 | − | 11.7191i | 0.373702 | − | 0.385947i | ||||
\(923\) | −1.39848 | + | 2.42224i | −0.0460315 | + | 0.0797289i | ||||
\(924\) | 32.5658 | − | 5.10497i | 1.07134 | − | 0.167941i | ||||
\(925\) | −8.81226 | − | 15.2633i | −0.289745 | − | 0.501853i | ||||
\(926\) | −52.5787 | − | 13.1839i | −1.72784 | − | 0.433250i | ||||
\(927\) | 3.37198 | + | 0.946614i | 0.110750 | + | 0.0310909i | ||||
\(928\) | 2.90455 | + | 8.14897i | 0.0953465 | + | 0.267503i | ||||
\(929\) | − | 18.4293i | − | 0.604646i | −0.953206 | − | 0.302323i | \(-0.902238\pi\) | ||
0.953206 | − | 0.302323i | \(-0.0977621\pi\) | |||||||
\(930\) | −28.7135 | + | 12.2373i | −0.941552 | + | 0.401277i | ||||
\(931\) | 29.4694 | − | 16.8808i | 0.965822 | − | 0.553244i | ||||
\(932\) | 48.0635 | − | 1.54998i | 1.57437 | − | 0.0507713i | ||||
\(933\) | −3.86883 | + | 9.18539i | −0.126660 | + | 0.300716i | ||||
\(934\) | 1.32206 | − | 5.27251i | 0.0432591 | − | 0.172522i | ||||
\(935\) | −42.9434 | − | 74.3802i | −1.40440 | − | 2.43249i | ||||
\(936\) | −4.48997 | + | 8.47636i | −0.146759 | + | 0.277059i | ||||
\(937\) | 26.4098 | 0.862771 | 0.431386 | − | 0.902168i | \(-0.358025\pi\) | ||||
0.431386 | + | 0.902168i | \(0.358025\pi\) | |||||||
\(938\) | 9.30669 | + | 9.04213i | 0.303874 | + | 0.295236i | ||||
\(939\) | 1.60097 | − | 3.80102i | 0.0522455 | − | 0.124042i | ||||
\(940\) | 12.9226 | − | 24.1482i | 0.421489 | − | 0.787626i | ||||
\(941\) | 42.7788i | 1.39455i | 0.716804 | + | 0.697275i | \(0.245604\pi\) | ||||
−0.716804 | + | 0.697275i | \(0.754396\pi\) | |||||||
\(942\) | 1.89592 | − | 15.6282i | 0.0617723 | − | 0.509195i | ||||
\(943\) | 0.944294i | 0.0307504i | ||||||||
\(944\) | 1.48112 | − | 2.99605i | 0.0482063 | − | 0.0975130i | ||||
\(945\) | −7.59457 | + | 50.1045i | −0.247051 | + | 1.62990i | ||||
\(946\) | 9.30992 | + | 32.6318i | 0.302692 | + | 1.06095i | ||||
\(947\) | 6.55037 | 0.212858 | 0.106429 | − | 0.994320i | \(-0.466058\pi\) | ||||
0.106429 | + | 0.994320i | \(0.466058\pi\) | |||||||
\(948\) | 22.6530 | − | 3.59054i | 0.735735 | − | 0.116615i | ||||
\(949\) | −7.77503 | −0.252388 | ||||||||
\(950\) | −40.9895 | + | 42.3327i | −1.32988 | + | 1.37345i | ||||
\(951\) | 17.6503 | + | 7.43417i | 0.572349 | + | 0.241070i | ||||
\(952\) | −14.7174 | − | 46.1904i | −0.476993 | − | 1.49704i | ||||
\(953\) | 57.3933i | 1.85915i | 0.368630 | + | 0.929576i | \(0.379827\pi\) | ||||
−0.368630 | + | 0.929576i | \(0.620173\pi\) | |||||||
\(954\) | 4.77910 | − | 0.0202304i | 0.154729 | − | 0.000654984i | ||||
\(955\) | −29.0714 | + | 16.7844i | −0.940730 | + | 0.543130i | ||||
\(956\) | −0.823962 | − | 25.5503i | −0.0266489 | − | 0.826356i | ||||
\(957\) | 8.77991 | + | 3.69804i | 0.283814 | + | 0.119541i | ||||
\(958\) | 10.8507 | − | 43.2736i | 0.350570 | − | 1.39811i | ||||
\(959\) | −49.4110 | − | 0.0840667i | −1.59556 | − | 0.00271466i | ||||
\(960\) | −49.8276 | + | 11.2298i | −1.60818 | + | 0.362440i | ||||
\(961\) | 19.0506 | 0.614534 | ||||||||
\(962\) | −2.35700 | − | 2.28222i | −0.0759928 | − | 0.0735816i | ||||
\(963\) | −44.1739 | + | 11.2754i | −1.42348 | + | 0.363344i | ||||
\(964\) | −0.955394 | − | 29.6259i | −0.0307712 | − | 0.954185i | ||||
\(965\) | −36.8258 | + | 21.2614i | −1.18546 | + | 0.684428i | ||||
\(966\) | 4.07602 | − | 5.40622i | 0.131144 | − | 0.173942i | ||||
\(967\) | 21.2476 | + | 12.2673i | 0.683275 | + | 0.394489i | 0.801088 | − | 0.598547i | \(-0.204255\pi\) |
−0.117813 | + | 0.993036i | \(0.537588\pi\) | |||||||
\(968\) | 5.35060 | + | 1.15971i | 0.171975 | + | 0.0372746i | ||||
\(969\) | −21.1313 | + | 50.1702i | −0.678837 | + | 1.61170i | ||||
\(970\) | 55.2196 | + | 13.8461i | 1.77299 | + | 0.444571i | ||||
\(971\) | 0.228931 | − | 0.396521i | 0.00734676 | − | 0.0127250i | −0.862329 | − | 0.506349i | \(-0.830995\pi\) |
0.869675 | + | 0.493624i | \(0.164328\pi\) | |||||||
\(972\) | 30.8998 | − | 4.14739i | 0.991112 | − | 0.133028i | ||||
\(973\) | −0.810284 | − | 0.00137860i | −0.0259765 | − | 4.41958e-5i | ||||
\(974\) | 0.895954 | − | 0.925314i | 0.0287082 | − | 0.0296490i | ||||
\(975\) | 16.6841 | − | 2.09571i | 0.534319 | − | 0.0671165i | ||||
\(976\) | −24.0065 | + | 48.5609i | −0.768429 | + | 1.55440i | ||||
\(977\) | − | 10.8563i | − | 0.347324i | −0.984805 | − | 0.173662i | \(-0.944440\pi\) | ||
0.984805 | − | 0.173662i | \(-0.0555600\pi\) | |||||||
\(978\) | 10.6583 | − | 14.1868i | 0.340815 | − | 0.453643i | ||||
\(979\) | −56.1918 | + | 32.4423i | −1.79590 | + | 1.03686i | ||||
\(980\) | −27.0812 | − | 43.9302i | −0.865076 | − | 1.40330i | ||||
\(981\) | 10.7782 | − | 38.3935i | 0.344121 | − | 1.22581i | ||||
\(982\) | −3.73430 | + | 14.8927i | −0.119166 | + | 0.475247i | ||||
\(983\) | −17.5837 | + | 30.4558i | −0.560832 | + | 0.971390i | 0.436592 | + | 0.899660i | \(0.356185\pi\) |
−0.997424 | + | 0.0717304i | \(0.977148\pi\) | |||||||
\(984\) | 0.391308 | − | 4.41070i | 0.0124745 | − | 0.140608i | ||||
\(985\) | −23.8207 | − | 41.2586i | −0.758990 | − | 1.31461i | ||||
\(986\) | 3.40769 | − | 13.5902i | 0.108523 | − | 0.432801i | ||||
\(987\) | −2.09303 | − | 16.8951i | −0.0666218 | − | 0.537778i | ||||
\(988\) | −5.17552 | + | 9.67137i | −0.164655 | + | 0.307687i | ||||
\(989\) | 6.03613 | + | 3.48496i | 0.191938 | + | 0.110815i | ||||
\(990\) | −27.9176 | + | 48.8310i | −0.887281 | + | 1.55195i | ||||
\(991\) | −10.5332 | + | 6.08134i | −0.334598 | + | 0.193180i | −0.657881 | − | 0.753122i | \(-0.728547\pi\) |
0.323283 | + | 0.946302i | \(0.395213\pi\) | |||||||
\(992\) | −19.2344 | − | 3.52404i | −0.610693 | − | 0.111888i | ||||
\(993\) | −15.0818 | − | 6.35235i | −0.478606 | − | 0.201586i | ||||
\(994\) | −6.45111 | + | 6.63986i | −0.204617 | + | 0.210604i | ||||
\(995\) | −19.6353 | + | 34.0094i | −0.622482 | + | 1.07817i | ||||
\(996\) | −28.9569 | + | 23.4543i | −0.917534 | + | 0.743179i | ||||
\(997\) | −16.4463 | + | 28.4858i | −0.520859 | + | 0.902155i | 0.478847 | + | 0.877899i | \(0.341055\pi\) |
−0.999706 | + | 0.0242561i | \(0.992278\pi\) | |||||||
\(998\) | −9.74067 | + | 10.0599i | −0.308336 | + | 0.318439i | ||||
\(999\) | −1.58014 | + | 10.5459i | −0.0499935 | + | 0.333658i |
(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 | 252.2.bb.a.23.4 | yes | 88 | |
3.2 | odd | 2 | 756.2.bb.a.611.41 | 88 | |||
4.3 | odd | 2 | inner | 252.2.bb.a.23.41 | yes | 88 | |
7.4 | even | 3 | 252.2.o.a.95.26 | yes | 88 | ||
9.2 | odd | 6 | 252.2.o.a.191.13 | yes | 88 | ||
9.7 | even | 3 | 756.2.o.a.359.32 | 88 | |||
12.11 | even | 2 | 756.2.bb.a.611.4 | 88 | |||
21.11 | odd | 6 | 756.2.o.a.179.19 | 88 | |||
28.11 | odd | 6 | 252.2.o.a.95.13 | ✓ | 88 | ||
36.7 | odd | 6 | 756.2.o.a.359.19 | 88 | |||
36.11 | even | 6 | 252.2.o.a.191.26 | yes | 88 | ||
63.11 | odd | 6 | inner | 252.2.bb.a.11.41 | yes | 88 | |
63.25 | even | 3 | 756.2.bb.a.683.4 | 88 | |||
84.11 | even | 6 | 756.2.o.a.179.32 | 88 | |||
252.11 | even | 6 | inner | 252.2.bb.a.11.4 | yes | 88 | |
252.151 | odd | 6 | 756.2.bb.a.683.41 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.o.a.95.13 | ✓ | 88 | 28.11 | odd | 6 | ||
252.2.o.a.95.26 | yes | 88 | 7.4 | even | 3 | ||
252.2.o.a.191.13 | yes | 88 | 9.2 | odd | 6 | ||
252.2.o.a.191.26 | yes | 88 | 36.11 | even | 6 | ||
252.2.bb.a.11.4 | yes | 88 | 252.11 | even | 6 | inner | |
252.2.bb.a.11.41 | yes | 88 | 63.11 | odd | 6 | inner | |
252.2.bb.a.23.4 | yes | 88 | 1.1 | even | 1 | trivial | |
252.2.bb.a.23.41 | yes | 88 | 4.3 | odd | 2 | inner | |
756.2.o.a.179.19 | 88 | 21.11 | odd | 6 | |||
756.2.o.a.179.32 | 88 | 84.11 | even | 6 | |||
756.2.o.a.359.19 | 88 | 36.7 | odd | 6 | |||
756.2.o.a.359.32 | 88 | 9.7 | even | 3 | |||
756.2.bb.a.611.4 | 88 | 12.11 | even | 2 | |||
756.2.bb.a.611.41 | 88 | 3.2 | odd | 2 | |||
756.2.bb.a.683.4 | 88 | 63.25 | even | 3 | |||
756.2.bb.a.683.41 | 88 | 252.151 | odd | 6 |