Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,2,Mod(5,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.k (of order \(32\), degree \(16\), 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: | \(1.02208514587\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 13.4 | ||
Character | \(\chi\) | \(=\) | 128.13 |
Dual form | 128.2.k.a.69.4 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{15}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.10268 | − | 0.885498i | −0.779710 | − | 0.626141i | ||||
\(3\) | −0.152748 | − | 0.503541i | −0.0881888 | − | 0.290720i | 0.901741 | − | 0.432276i | \(-0.142289\pi\) |
−0.989930 | + | 0.141556i | \(0.954789\pi\) | |||||||
\(4\) | 0.431788 | + | 1.95283i | 0.215894 | + | 0.976417i | ||||
\(5\) | 0.326146 | + | 3.31141i | 0.145857 | + | 1.48091i | 0.737849 | + | 0.674966i | \(0.235842\pi\) |
−0.591992 | + | 0.805944i | \(0.701658\pi\) | |||||||
\(6\) | −0.277453 | + | 0.690500i | −0.113270 | + | 0.281895i | ||||
\(7\) | −2.79715 | + | 4.18623i | −1.05722 | + | 1.58225i | −0.272748 | + | 0.962086i | \(0.587932\pi\) |
−0.784475 | + | 0.620160i | \(0.787068\pi\) | |||||||
\(8\) | 1.25311 | − | 2.53569i | 0.443041 | − | 0.896502i | ||||
\(9\) | 2.26419 | − | 1.51288i | 0.754729 | − | 0.504294i | ||||
\(10\) | 2.57262 | − | 3.94022i | 0.813533 | − | 1.24601i | ||||
\(11\) | 0.621979 | − | 0.332455i | 0.187534 | − | 0.100239i | −0.374958 | − | 0.927042i | \(-0.622343\pi\) |
0.562492 | + | 0.826803i | \(0.309843\pi\) | |||||||
\(12\) | 0.917377 | − | 0.515713i | 0.264824 | − | 0.148874i | ||||
\(13\) | −1.36543 | − | 0.134483i | −0.378701 | − | 0.0372988i | −0.0931240 | − | 0.995655i | \(-0.529685\pi\) |
−0.285577 | + | 0.958356i | \(0.592185\pi\) | |||||||
\(14\) | 6.79124 | − | 2.13918i | 1.81504 | − | 0.571721i | ||||
\(15\) | 1.61762 | − | 0.670038i | 0.417666 | − | 0.173003i | ||||
\(16\) | −3.62712 | + | 1.68642i | −0.906780 | + | 0.421605i | ||||
\(17\) | 4.49202 | + | 1.86065i | 1.08947 | + | 0.451275i | 0.853823 | − | 0.520563i | \(-0.174278\pi\) |
0.235651 | + | 0.971838i | \(0.424278\pi\) | |||||||
\(18\) | −3.83632 | − | 0.336715i | −0.904229 | − | 0.0793644i | ||||
\(19\) | −1.40216 | + | 1.15072i | −0.321677 | + | 0.263993i | −0.781348 | − | 0.624096i | \(-0.785467\pi\) |
0.459671 | + | 0.888089i | \(0.347967\pi\) | |||||||
\(20\) | −6.32582 | + | 2.06674i | −1.41450 | + | 0.462136i | ||||
\(21\) | 2.53520 | + | 0.769043i | 0.553225 | + | 0.167819i | ||||
\(22\) | −0.980230 | − | 0.184171i | −0.208986 | − | 0.0392655i | ||||
\(23\) | 0.653713 | − | 3.28644i | 0.136309 | − | 0.685269i | −0.850835 | − | 0.525433i | \(-0.823903\pi\) |
0.987144 | − | 0.159836i | \(-0.0510966\pi\) | |||||||
\(24\) | −1.46823 | − | 0.243671i | −0.299702 | − | 0.0497392i | ||||
\(25\) | −5.95517 | + | 1.18456i | −1.19103 | + | 0.236911i | ||||
\(26\) | 1.38654 | + | 1.35737i | 0.271923 | + | 0.266203i | ||||
\(27\) | −2.32792 | − | 1.91047i | −0.448008 | − | 0.367671i | ||||
\(28\) | −9.38278 | − | 3.65480i | −1.77318 | − | 0.690693i | ||||
\(29\) | −0.313783 | + | 0.587047i | −0.0582681 | + | 0.109012i | −0.909369 | − | 0.415990i | \(-0.863435\pi\) |
0.851101 | + | 0.525002i | \(0.175935\pi\) | |||||||
\(30\) | −2.37702 | − | 0.693560i | −0.433983 | − | 0.126626i | ||||
\(31\) | 4.78518 | − | 4.78518i | 0.859443 | − | 0.859443i | −0.131829 | − | 0.991272i | \(-0.542085\pi\) |
0.991272 | + | 0.131829i | \(0.0420850\pi\) | |||||||
\(32\) | 5.49286 | + | 1.35223i | 0.971009 | + | 0.239043i | ||||
\(33\) | −0.262411 | − | 0.262411i | −0.0456798 | − | 0.0456798i | ||||
\(34\) | −3.30563 | − | 6.02937i | −0.566911 | − | 1.03403i | ||||
\(35\) | −14.7746 | − | 7.89720i | −2.49737 | − | 1.33487i | ||||
\(36\) | 3.93205 | + | 3.76834i | 0.655342 | + | 0.628056i | ||||
\(37\) | −3.81898 | + | 4.65344i | −0.627837 | + | 0.765021i | −0.985656 | − | 0.168770i | \(-0.946021\pi\) |
0.357819 | + | 0.933791i | \(0.383521\pi\) | |||||||
\(38\) | 2.56508 | − | 0.0272648i | 0.416111 | − | 0.00442293i | ||||
\(39\) | 0.140848 | + | 0.708090i | 0.0225537 | + | 0.113385i | ||||
\(40\) | 8.80542 | + | 3.32256i | 1.39226 | + | 0.525342i | ||||
\(41\) | 8.11985 | + | 1.61514i | 1.26811 | + | 0.252242i | 0.782895 | − | 0.622154i | \(-0.213742\pi\) |
0.485212 | + | 0.874396i | \(0.338742\pi\) | |||||||
\(42\) | −2.11451 | − | 3.09292i | −0.326276 | − | 0.477247i | ||||
\(43\) | −2.43760 | + | 8.03569i | −0.371731 | + | 1.22543i | 0.549195 | + | 0.835694i | \(0.314934\pi\) |
−0.920926 | + | 0.389738i | \(0.872566\pi\) | |||||||
\(44\) | 0.917792 | + | 1.07107i | 0.138362 | + | 0.161470i | ||||
\(45\) | 5.74823 | + | 7.00424i | 0.856896 | + | 1.04413i | ||||
\(46\) | −3.63096 | + | 3.04501i | −0.535357 | + | 0.448963i | ||||
\(47\) | 2.23827 | − | 5.40366i | 0.326485 | − | 0.788204i | −0.672363 | − | 0.740221i | \(-0.734721\pi\) |
0.998848 | − | 0.0479830i | \(-0.0152793\pi\) | |||||||
\(48\) | 1.40321 | + | 1.56881i | 0.202537 | + | 0.226438i | ||||
\(49\) | −7.02169 | − | 16.9519i | −1.00310 | − | 2.42169i | ||||
\(50\) | 7.61555 | + | 3.96711i | 1.07700 | + | 0.561034i | ||||
\(51\) | 0.250771 | − | 2.54612i | 0.0351150 | − | 0.356529i | ||||
\(52\) | −0.326952 | − | 2.72452i | −0.0453401 | − | 0.377823i | ||||
\(53\) | −5.12053 | − | 9.57984i | −0.703359 | − | 1.31589i | −0.938955 | − | 0.344041i | \(-0.888204\pi\) |
0.235595 | − | 0.971851i | \(-0.424296\pi\) | |||||||
\(54\) | 0.875220 | + | 4.16800i | 0.119102 | + | 0.567193i | ||||
\(55\) | 1.30375 | + | 1.95120i | 0.175798 | + | 0.263100i | ||||
\(56\) | 7.10985 | + | 12.3385i | 0.950093 | + | 1.64880i | ||||
\(57\) | 0.793610 | + | 0.530273i | 0.105116 | + | 0.0702364i | ||||
\(58\) | 0.865831 | − | 0.369469i | 0.113689 | − | 0.0485136i | ||||
\(59\) | 7.56634 | − | 0.745220i | 0.985054 | − | 0.0970193i | 0.407355 | − | 0.913270i | \(-0.366451\pi\) |
0.577698 | + | 0.816250i | \(0.303951\pi\) | |||||||
\(60\) | 2.00694 | + | 2.86962i | 0.259095 | + | 0.370466i | ||||
\(61\) | 8.30945 | − | 2.52065i | 1.06392 | − | 0.322736i | 0.290658 | − | 0.956827i | \(-0.406126\pi\) |
0.773258 | + | 0.634091i | \(0.218626\pi\) | |||||||
\(62\) | −9.51377 | + | 1.03924i | −1.20825 | + | 0.131983i | ||||
\(63\) | 13.7102i | 1.72732i | ||||||||
\(64\) | −4.85944 | − | 6.35499i | −0.607430 | − | 0.794373i | ||||
\(65\) | − | 4.56535i | − | 0.566263i | ||||||
\(66\) | 0.0569898 | + | 0.521718i | 0.00701496 | + | 0.0642190i | ||||
\(67\) | 2.23525 | − | 0.678056i | 0.273079 | − | 0.0828377i | −0.150775 | − | 0.988568i | \(-0.548177\pi\) |
0.423854 | + | 0.905730i | \(0.360677\pi\) | |||||||
\(68\) | −1.69395 | + | 9.57557i | −0.205422 | + | 1.16121i | ||||
\(69\) | −1.75471 | + | 0.172824i | −0.211242 | + | 0.0208055i | ||||
\(70\) | 9.29866 | + | 21.7909i | 1.11140 | + | 2.60452i | ||||
\(71\) | 4.06751 | + | 2.71782i | 0.482724 | + | 0.322546i | 0.773010 | − | 0.634394i | \(-0.218750\pi\) |
−0.290285 | + | 0.956940i | \(0.593750\pi\) | |||||||
\(72\) | −0.998926 | − | 7.63708i | −0.117725 | − | 0.900038i | ||||
\(73\) | 0.905790 | + | 1.35561i | 0.106015 | + | 0.158662i | 0.880684 | − | 0.473705i | \(-0.157084\pi\) |
−0.774669 | + | 0.632367i | \(0.782084\pi\) | |||||||
\(74\) | 8.33171 | − | 1.74954i | 0.968542 | − | 0.203380i | ||||
\(75\) | 1.50611 | + | 2.81773i | 0.173911 | + | 0.325364i | ||||
\(76\) | −2.85260 | − | 2.24131i | −0.327215 | − | 0.257096i | ||||
\(77\) | −0.348037 | + | 3.53367i | −0.0396624 | + | 0.402700i | ||||
\(78\) | 0.471703 | − | 0.905514i | 0.0534098 | − | 0.102529i | ||||
\(79\) | −0.578602 | − | 1.39687i | −0.0650978 | − | 0.157160i | 0.887983 | − | 0.459877i | \(-0.152106\pi\) |
−0.953081 | + | 0.302717i | \(0.902106\pi\) | |||||||
\(80\) | −6.76740 | − | 11.4609i | −0.756619 | − | 1.28136i | ||||
\(81\) | 2.51985 | − | 6.08347i | 0.279984 | − | 0.675941i | ||||
\(82\) | −7.52336 | − | 8.97108i | −0.830816 | − | 0.990690i | ||||
\(83\) | −1.34512 | − | 1.63903i | −0.147646 | − | 0.179907i | 0.693936 | − | 0.720037i | \(-0.255875\pi\) |
−0.841582 | + | 0.540130i | \(0.818375\pi\) | |||||||
\(84\) | −0.407147 | + | 5.28288i | −0.0444234 | + | 0.576409i | ||||
\(85\) | −4.69634 | + | 15.4818i | −0.509390 | + | 1.67923i | ||||
\(86\) | 9.80347 | − | 6.70227i | 1.05714 | − | 0.722725i | ||||
\(87\) | 0.343532 | + | 0.0683328i | 0.0368305 | + | 0.00732604i | ||||
\(88\) | −0.0635950 | − | 1.99375i | −0.00677925 | − | 0.212534i | ||||
\(89\) | 0.138358 | + | 0.695573i | 0.0146659 | + | 0.0737306i | 0.987425 | − | 0.158087i | \(-0.0505327\pi\) |
−0.972759 | + | 0.231818i | \(0.925533\pi\) | |||||||
\(90\) | −0.136197 | − | 12.8135i | −0.0143564 | − | 1.35066i | ||||
\(91\) | 4.38228 | − | 5.33982i | 0.459387 | − | 0.559765i | ||||
\(92\) | 6.70013 | − | 0.142450i | 0.698537 | − | 0.0148514i | ||||
\(93\) | −3.14046 | − | 1.67861i | −0.325650 | − | 0.174064i | ||||
\(94\) | −7.25301 | + | 3.97650i | −0.748091 | + | 0.410145i | ||||
\(95\) | −4.26782 | − | 4.26782i | −0.437869 | − | 0.437869i | ||||
\(96\) | −0.158116 | − | 2.97243i | −0.0161376 | − | 0.303372i | ||||
\(97\) | −1.85489 | + | 1.85489i | −0.188335 | + | 0.188335i | −0.794976 | − | 0.606641i | \(-0.792517\pi\) |
0.606641 | + | 0.794976i | \(0.292517\pi\) | |||||||
\(98\) | −7.26818 | + | 24.9101i | −0.734197 | + | 2.51630i | ||||
\(99\) | 0.905313 | − | 1.69372i | 0.0909874 | − | 0.170225i | ||||
\(100\) | −4.88461 | − | 11.1180i | −0.488461 | − | 1.11180i | ||||
\(101\) | −14.7200 | − | 12.0804i | −1.46469 | − | 1.20204i | −0.935396 | − | 0.353602i | \(-0.884957\pi\) |
−0.529294 | − | 0.848438i | \(-0.677543\pi\) | |||||||
\(102\) | −2.53111 | + | 2.58549i | −0.250617 | + | 0.256002i | ||||
\(103\) | 10.8994 | − | 2.16803i | 1.07395 | − | 0.213623i | 0.373724 | − | 0.927540i | \(-0.378081\pi\) |
0.700230 | + | 0.713918i | \(0.253081\pi\) | |||||||
\(104\) | −2.05203 | + | 3.29378i | −0.201218 | + | 0.322981i | ||||
\(105\) | −1.71978 | + | 8.64590i | −0.167833 | + | 0.843754i | ||||
\(106\) | −2.83664 | + | 15.0977i | −0.275519 | + | 1.46642i | ||||
\(107\) | −4.98951 | − | 1.51355i | −0.482354 | − | 0.146320i | 0.0397374 | − | 0.999210i | \(-0.487348\pi\) |
−0.522091 | + | 0.852890i | \(0.674848\pi\) | |||||||
\(108\) | 2.72567 | − | 5.37096i | 0.262278 | − | 0.516821i | ||||
\(109\) | 3.80691 | − | 3.12425i | 0.364636 | − | 0.299249i | −0.434178 | − | 0.900827i | \(-0.642961\pi\) |
0.798814 | + | 0.601578i | \(0.205461\pi\) | |||||||
\(110\) | 0.290170 | − | 3.30601i | 0.0276666 | − | 0.315216i | ||||
\(111\) | 2.92654 | + | 1.21221i | 0.277775 | + | 0.115058i | ||||
\(112\) | 3.08586 | − | 19.9011i | 0.291586 | − | 1.88048i | ||||
\(113\) | −8.66929 | + | 3.59094i | −0.815538 | + | 0.337807i | −0.751161 | − | 0.660119i | \(-0.770506\pi\) |
−0.0643769 | + | 0.997926i | \(0.520506\pi\) | |||||||
\(114\) | −0.405539 | − | 1.28746i | −0.0379822 | − | 0.120582i | ||||
\(115\) | 11.0960 | + | 1.09286i | 1.03470 | + | 0.101909i | ||||
\(116\) | −1.28189 | − | 0.359287i | −0.119021 | − | 0.0333590i | ||||
\(117\) | −3.29504 | + | 1.76123i | −0.304626 | + | 0.162826i | ||||
\(118\) | −9.00311 | − | 5.87824i | −0.828804 | − | 0.541136i | ||||
\(119\) | −20.3540 | + | 13.6001i | −1.86584 | + | 1.24672i | ||||
\(120\) | 0.328038 | − | 4.94140i | 0.0299456 | − | 0.451086i | ||||
\(121\) | −5.83494 | + | 8.73261i | −0.530449 | + | 0.793873i | ||||
\(122\) | −11.3947 | − | 4.57855i | −1.03162 | − | 0.414522i | ||||
\(123\) | −0.426998 | − | 4.33539i | −0.0385011 | − | 0.390909i | ||||
\(124\) | 11.4108 | + | 7.27848i | 1.02472 | + | 0.653627i | ||||
\(125\) | −1.03529 | − | 3.41291i | −0.0925995 | − | 0.305260i | ||||
\(126\) | 12.1403 | − | 15.1179i | 1.08155 | − | 1.34681i | ||||
\(127\) | 11.1962 | 0.993502 | 0.496751 | − | 0.867893i | \(-0.334526\pi\) | ||||
0.496751 | + | 0.867893i | \(0.334526\pi\) | |||||||
\(128\) | −0.268937 | + | 11.3105i | −0.0237709 | + | 0.999717i | ||||
\(129\) | 4.41864 | 0.389039 | ||||||||
\(130\) | −4.04261 | + | 5.03411i | −0.354560 | + | 0.441520i | ||||
\(131\) | 3.96227 | + | 13.0619i | 0.346185 | + | 1.14122i | 0.941298 | + | 0.337578i | \(0.109608\pi\) |
−0.595112 | + | 0.803643i | \(0.702892\pi\) | |||||||
\(132\) | 0.399139 | − | 0.625750i | 0.0347405 | − | 0.0544645i | ||||
\(133\) | −0.895137 | − | 9.08848i | −0.0776182 | − | 0.788071i | ||||
\(134\) | −3.06517 | − | 1.23163i | −0.264791 | − | 0.106397i | ||||
\(135\) | 5.56713 | − | 8.33180i | 0.479142 | − | 0.717087i | ||||
\(136\) | 10.3470 | − | 9.05876i | 0.887250 | − | 0.776782i | ||||
\(137\) | −1.18215 | + | 0.789890i | −0.100998 | + | 0.0674848i | −0.605044 | − | 0.796192i | \(-0.706844\pi\) |
0.504046 | + | 0.863677i | \(0.331844\pi\) | |||||||
\(138\) | 2.08791 | + | 1.36322i | 0.177735 | + | 0.116045i | ||||
\(139\) | −5.48088 | + | 2.92959i | −0.464882 | + | 0.248485i | −0.687170 | − | 0.726496i | \(-0.741147\pi\) |
0.222288 | + | 0.974981i | \(0.428647\pi\) | |||||||
\(140\) | 9.04242 | − | 32.2623i | 0.764224 | − | 2.72666i | ||||
\(141\) | −3.06285 | − | 0.301665i | −0.257939 | − | 0.0254047i | ||||
\(142\) | −2.07852 | − | 6.59865i | −0.174425 | − | 0.553746i | ||||
\(143\) | −0.893977 | + | 0.370297i | −0.0747581 | + | 0.0309658i | ||||
\(144\) | −5.66112 | + | 9.30577i | −0.471760 | + | 0.775481i | ||||
\(145\) | −2.04630 | − | 0.847604i | −0.169936 | − | 0.0703897i | ||||
\(146\) | 0.201597 | − | 2.29687i | 0.0166843 | − | 0.190091i | ||||
\(147\) | −7.46341 | + | 6.12506i | −0.615572 | + | 0.505187i | ||||
\(148\) | −10.7364 | − | 5.44854i | −0.882526 | − | 0.447867i | ||||
\(149\) | 4.11444 | + | 1.24810i | 0.337068 | + | 0.102249i | 0.454281 | − | 0.890858i | \(-0.349896\pi\) |
−0.117213 | + | 0.993107i | \(0.537396\pi\) | |||||||
\(150\) | 0.834346 | − | 4.44071i | 0.0681241 | − | 0.362582i | ||||
\(151\) | −2.42212 | + | 12.1768i | −0.197109 | + | 0.990935i | 0.747880 | + | 0.663834i | \(0.231072\pi\) |
−0.944989 | + | 0.327101i | \(0.893928\pi\) | |||||||
\(152\) | 1.16081 | + | 4.99741i | 0.0941545 | + | 0.405343i | ||||
\(153\) | 12.9857 | − | 2.58302i | 1.04983 | − | 0.208825i | ||||
\(154\) | 3.51283 | − | 3.58831i | 0.283072 | − | 0.289154i | ||||
\(155\) | 17.4064 | + | 14.2850i | 1.39811 | + | 1.14740i | ||||
\(156\) | −1.32197 | + | 0.580797i | −0.105842 | + | 0.0465010i | ||||
\(157\) | 7.47869 | − | 13.9916i | 0.596864 | − | 1.11665i | −0.384250 | − | 0.923229i | \(-0.625540\pi\) |
0.981115 | − | 0.193426i | \(-0.0619599\pi\) | |||||||
\(158\) | −0.598914 | + | 2.05264i | −0.0476470 | + | 0.163300i | ||||
\(159\) | −4.04169 | + | 4.04169i | −0.320527 | + | 0.320527i | ||||
\(160\) | −2.68633 | + | 18.6302i | −0.212373 | + | 1.47284i | ||||
\(161\) | 11.9292 | + | 11.9292i | 0.940156 | + | 0.940156i | ||||
\(162\) | −8.16548 | + | 4.47677i | −0.641541 | + | 0.351728i | ||||
\(163\) | −2.10541 | − | 1.12537i | −0.164909 | − | 0.0881455i | 0.386878 | − | 0.922131i | \(-0.373554\pi\) |
−0.551786 | + | 0.833986i | \(0.686054\pi\) | |||||||
\(164\) | 0.351954 | + | 16.5541i | 0.0274830 | + | 1.29266i | ||||
\(165\) | 0.783366 | − | 0.954534i | 0.0609850 | − | 0.0743104i | ||||
\(166\) | 0.0318708 | + | 2.99842i | 0.00247365 | + | 0.232722i | ||||
\(167\) | 3.07768 | + | 15.4726i | 0.238158 | + | 1.19730i | 0.895968 | + | 0.444118i | \(0.146483\pi\) |
−0.657810 | + | 0.753184i | \(0.728517\pi\) | |||||||
\(168\) | 5.12693 | − | 5.46477i | 0.395551 | − | 0.421616i | ||||
\(169\) | −10.9039 | − | 2.16892i | −0.838762 | − | 0.166840i | ||||
\(170\) | 18.8876 | − | 12.9128i | 1.44861 | − | 0.990364i | ||||
\(171\) | −1.43384 | + | 4.72674i | −0.109649 | + | 0.361463i | ||||
\(172\) | −16.7449 | − | 1.29052i | −1.27679 | − | 0.0984009i | ||||
\(173\) | −3.82406 | − | 4.65963i | −0.290738 | − | 0.354265i | 0.607073 | − | 0.794646i | \(-0.292343\pi\) |
−0.897811 | + | 0.440381i | \(0.854843\pi\) | |||||||
\(174\) | −0.318296 | − | 0.379546i | −0.0241300 | − | 0.0287733i | ||||
\(175\) | 11.6987 | − | 28.2431i | 0.884336 | − | 2.13498i | ||||
\(176\) | −1.69534 | + | 2.25477i | −0.127791 | + | 0.169960i | ||||
\(177\) | −1.53099 | − | 3.69613i | −0.115076 | − | 0.277818i | ||||
\(178\) | 0.463365 | − | 0.889508i | 0.0347306 | − | 0.0666714i | ||||
\(179\) | 0.907550 | − | 9.21451i | 0.0678335 | − | 0.688725i | −0.899789 | − | 0.436324i | \(-0.856280\pi\) |
0.967623 | − | 0.252400i | \(-0.0812200\pi\) | |||||||
\(180\) | −11.1961 | + | 14.2497i | −0.834508 | + | 1.06211i | ||||
\(181\) | 11.1067 | + | 20.7792i | 0.825555 | + | 1.54450i | 0.838702 | + | 0.544590i | \(0.183315\pi\) |
−0.0131475 | + | 0.999914i | \(0.504185\pi\) | |||||||
\(182\) | −9.56063 | + | 2.00759i | −0.708681 | + | 0.148813i | ||||
\(183\) | −2.53850 | − | 3.79913i | −0.187651 | − | 0.280840i | ||||
\(184\) | −7.51421 | − | 5.77587i | −0.553955 | − | 0.425803i | ||||
\(185\) | −16.6550 | − | 11.1285i | −1.22450 | − | 0.818186i | ||||
\(186\) | 1.97650 | + | 4.63183i | 0.144924 | + | 0.339622i | ||||
\(187\) | 3.41253 | − | 0.336104i | 0.249549 | − | 0.0245784i | ||||
\(188\) | 11.5189 | + | 2.03773i | 0.840102 | + | 0.148617i | ||||
\(189\) | 14.5092 | − | 4.40132i | 1.05539 | − | 0.320149i | ||||
\(190\) | 0.926876 | + | 8.48516i | 0.0672426 | + | 0.615578i | ||||
\(191\) | − | 2.09966i | − | 0.151926i | −0.997111 | − | 0.0759629i | \(-0.975797\pi\) | ||
0.997111 | − | 0.0759629i | \(-0.0242030\pi\) | |||||||
\(192\) | −2.45773 | + | 3.41764i | −0.177371 | + | 0.246647i | ||||
\(193\) | − | 3.65943i | − | 0.263412i | −0.991289 | − | 0.131706i | \(-0.957955\pi\) | ||
0.991289 | − | 0.131706i | \(-0.0420454\pi\) | |||||||
\(194\) | 3.68784 | − | 0.402841i | 0.264772 | − | 0.0289223i | ||||
\(195\) | −2.29884 | + | 0.697346i | −0.164624 | + | 0.0499380i | ||||
\(196\) | 30.0723 | − | 21.0318i | 2.14802 | − | 1.50227i | ||||
\(197\) | −3.21234 | + | 0.316388i | −0.228870 | + | 0.0225417i | −0.211802 | − | 0.977313i | \(-0.567933\pi\) |
−0.0170680 | + | 0.999854i | \(0.505433\pi\) | |||||||
\(198\) | −2.49805 | + | 1.06597i | −0.177529 | + | 0.0757554i | ||||
\(199\) | −18.4517 | − | 12.3291i | −1.30801 | − | 0.873984i | −0.310936 | − | 0.950431i | \(-0.600642\pi\) |
−0.997074 | + | 0.0764472i | \(0.975642\pi\) | |||||||
\(200\) | −4.45880 | + | 16.5848i | −0.315285 | + | 1.17273i | ||||
\(201\) | −0.682858 | − | 1.02197i | −0.0481651 | − | 0.0720842i | ||||
\(202\) | 5.53421 | + | 26.3552i | 0.389386 | + | 1.85435i | ||||
\(203\) | −1.57982 | − | 2.95563i | −0.110881 | − | 0.207444i | ||||
\(204\) | 5.08044 | − | 0.609670i | 0.355702 | − | 0.0426855i | ||||
\(205\) | −2.70014 | + | 27.4150i | −0.188586 | + | 1.91474i | ||||
\(206\) | −13.9383 | − | 7.26079i | −0.971130 | − | 0.505883i | ||||
\(207\) | −3.49186 | − | 8.43010i | −0.242701 | − | 0.585932i | ||||
\(208\) | 5.17936 | − | 1.81490i | 0.359124 | − | 0.125840i | ||||
\(209\) | −0.489550 | + | 1.18188i | −0.0338629 | + | 0.0817522i | ||||
\(210\) | 9.55229 | − | 8.01077i | 0.659170 | − | 0.552796i | ||||
\(211\) | 11.8024 | + | 14.3812i | 0.812508 | + | 0.990044i | 0.999970 | + | 0.00777218i | \(0.00247399\pi\) |
−0.187462 | + | 0.982272i | \(0.560026\pi\) | |||||||
\(212\) | 16.4969 | − | 14.1360i | 1.13301 | − | 0.970865i | ||||
\(213\) | 0.747233 | − | 2.46330i | 0.0511996 | − | 0.168782i | ||||
\(214\) | 4.16156 | + | 6.08715i | 0.284478 | + | 0.416109i | ||||
\(215\) | −27.4045 | − | 5.45110i | −1.86897 | − | 0.371762i | ||||
\(216\) | −7.76150 | + | 3.50885i | −0.528103 | + | 0.238747i | ||||
\(217\) | 6.64700 | + | 33.4167i | 0.451228 | + | 2.26847i | ||||
\(218\) | −6.96431 | + | 0.0740250i | −0.471682 | + | 0.00501360i | ||||
\(219\) | 0.544248 | − | 0.663168i | 0.0367769 | − | 0.0448128i | ||||
\(220\) | −3.24743 | + | 3.38852i | −0.218942 | + | 0.228454i | ||||
\(221\) | −5.88329 | − | 3.14468i | −0.395753 | − | 0.211534i | ||||
\(222\) | −2.15361 | − | 3.92812i | −0.144541 | − | 0.263638i | ||||
\(223\) | −1.61455 | − | 1.61455i | −0.108119 | − | 0.108119i | 0.650978 | − | 0.759097i | \(-0.274359\pi\) |
−0.759097 | + | 0.650978i | \(0.774359\pi\) | |||||||
\(224\) | −21.0251 | + | 19.2120i | −1.40480 | + | 1.28365i | ||||
\(225\) | −11.6915 | + | 11.6915i | −0.779435 | + | 0.779435i | ||||
\(226\) | 12.7392 | + | 3.71700i | 0.847398 | + | 0.247251i | ||||
\(227\) | 9.75042 | − | 18.2417i | 0.647158 | − | 1.21075i | −0.317754 | − | 0.948173i | \(-0.602929\pi\) |
0.964912 | − | 0.262574i | \(-0.0845714\pi\) | |||||||
\(228\) | −0.692865 | + | 1.77875i | −0.0458861 | + | 0.117801i | ||||
\(229\) | −9.03968 | − | 7.41867i | −0.597359 | − | 0.490240i | 0.286445 | − | 0.958097i | \(-0.407526\pi\) |
−0.883804 | + | 0.467857i | \(0.845026\pi\) | |||||||
\(230\) | −11.2675 | − | 11.0305i | −0.742958 | − | 0.727330i | ||||
\(231\) | 1.83251 | − | 0.364509i | 0.120570 | − | 0.0239829i | ||||
\(232\) | 1.09537 | + | 1.53129i | 0.0719143 | + | 0.100534i | ||||
\(233\) | 3.47551 | − | 17.4726i | 0.227688 | − | 1.14467i | −0.682633 | − | 0.730762i | \(-0.739165\pi\) |
0.910321 | − | 0.413904i | \(-0.135835\pi\) | |||||||
\(234\) | 5.19293 | + | 0.975678i | 0.339472 | + | 0.0637821i | ||||
\(235\) | 18.6238 | + | 5.64945i | 1.21488 | + | 0.368530i | ||||
\(236\) | 4.72234 | + | 14.4540i | 0.307398 | + | 0.940877i | ||||
\(237\) | −0.615001 | + | 0.504718i | −0.0399486 | + | 0.0327850i | ||||
\(238\) | 34.4867 | + | 3.02690i | 2.23544 | + | 0.196205i | ||||
\(239\) | −16.9567 | − | 7.02371i | −1.09684 | − | 0.454326i | −0.240453 | − | 0.970661i | \(-0.577296\pi\) |
−0.856387 | + | 0.516335i | \(0.827296\pi\) | |||||||
\(240\) | −4.73732 | + | 5.15829i | −0.305793 | + | 0.332966i | ||||
\(241\) | −9.27974 | + | 3.84379i | −0.597760 | + | 0.247600i | −0.660985 | − | 0.750399i | \(-0.729861\pi\) |
0.0632250 | + | 0.997999i | \(0.479861\pi\) | |||||||
\(242\) | 14.1667 | − | 4.46241i | 0.910673 | − | 0.286854i | ||||
\(243\) | −12.4392 | − | 1.22515i | −0.797973 | − | 0.0785935i | ||||
\(244\) | 8.51032 | + | 15.1386i | 0.544817 | + | 0.969149i | ||||
\(245\) | 53.8445 | − | 28.7805i | 3.44000 | − | 1.83872i | ||||
\(246\) | −3.36813 | + | 5.15863i | −0.214744 | + | 0.328902i | ||||
\(247\) | 2.06929 | − | 1.38266i | 0.131666 | − | 0.0879763i | ||||
\(248\) | −6.13738 | − | 18.1301i | −0.389724 | − | 1.15126i | ||||
\(249\) | −0.619855 | + | 0.927679i | −0.0392817 | + | 0.0587893i | ||||
\(250\) | −1.88053 | + | 4.68008i | −0.118935 | + | 0.295994i | ||||
\(251\) | −0.0939938 | − | 0.954335i | −0.00593284 | − | 0.0602371i | 0.991762 | − | 0.128091i | \(-0.0408849\pi\) |
−0.997695 | + | 0.0678537i | \(0.978385\pi\) | |||||||
\(252\) | −26.7737 | + | 5.91988i | −1.68658 | + | 0.372917i | ||||
\(253\) | −0.685996 | − | 2.26143i | −0.0431282 | − | 0.142175i | ||||
\(254\) | −12.3458 | − | 9.91421i | −0.774643 | − | 0.622073i | ||||
\(255\) | 8.51306 | 0.533109 | ||||||||
\(256\) | 10.3120 | − | 12.2337i | 0.644499 | − | 0.764605i | ||||
\(257\) | 5.88176 | 0.366894 | 0.183447 | − | 0.983030i | \(-0.441274\pi\) | ||||
0.183447 | + | 0.983030i | \(0.441274\pi\) | |||||||
\(258\) | −4.87233 | − | 3.91269i | −0.303338 | − | 0.243594i | ||||
\(259\) | −8.79812 | − | 29.0035i | −0.546688 | − | 1.80219i | ||||
\(260\) | 8.91538 | − | 1.97126i | 0.552908 | − | 0.122253i | ||||
\(261\) | 0.177669 | + | 1.80390i | 0.0109974 | + | 0.111659i | ||||
\(262\) | 7.19715 | − | 17.9116i | 0.444641 | − | 1.10658i | ||||
\(263\) | 12.0560 | − | 18.0431i | 0.743405 | − | 1.11258i | −0.246262 | − | 0.969203i | \(-0.579202\pi\) |
0.989668 | − | 0.143381i | \(-0.0457975\pi\) | |||||||
\(264\) | −0.994220 | + | 0.336563i | −0.0611900 | + | 0.0207140i | ||||
\(265\) | 30.0528 | − | 20.0806i | 1.84613 | − | 1.23354i | ||||
\(266\) | −7.06078 | + | 10.8143i | −0.432924 | + | 0.663066i | ||||
\(267\) | 0.329116 | − | 0.175916i | 0.0201416 | − | 0.0107659i | ||||
\(268\) | 2.28928 | + | 4.07230i | 0.139840 | + | 0.248755i | ||||
\(269\) | 7.32312 | + | 0.721264i | 0.446498 | + | 0.0439763i | 0.318768 | − | 0.947833i | \(-0.396731\pi\) |
0.127730 | + | 0.991809i | \(0.459231\pi\) | |||||||
\(270\) | −13.5165 | + | 4.25759i | −0.822590 | + | 0.259109i | ||||
\(271\) | −18.0769 | + | 7.48772i | −1.09810 | + | 0.454846i | −0.856823 | − | 0.515611i | \(-0.827565\pi\) |
−0.241273 | + | 0.970457i | \(0.577565\pi\) | |||||||
\(272\) | −19.4309 | + | 0.826607i | −1.17817 | + | 0.0501204i | ||||
\(273\) | −3.35820 | − | 1.39101i | −0.203248 | − | 0.0841879i | ||||
\(274\) | 2.00298 | + | 0.175802i | 0.121004 | + | 0.0106206i | ||||
\(275\) | −3.31018 | + | 2.71660i | −0.199611 | + | 0.163817i | ||||
\(276\) | −1.09516 | − | 3.35203i | −0.0659207 | − | 0.201769i | ||||
\(277\) | −21.8104 | − | 6.61610i | −1.31046 | − | 0.397523i | −0.443666 | − | 0.896192i | \(-0.646322\pi\) |
−0.866792 | + | 0.498669i | \(0.833822\pi\) | |||||||
\(278\) | 8.63778 | + | 1.62292i | 0.518059 | + | 0.0973361i | ||||
\(279\) | 3.59513 | − | 18.0739i | 0.215235 | − | 1.08206i | ||||
\(280\) | −38.5390 | + | 27.5678i | −2.30315 | + | 1.64749i | ||||
\(281\) | −11.3542 | + | 2.25849i | −0.677335 | + | 0.134730i | −0.521758 | − | 0.853093i | \(-0.674724\pi\) |
−0.155577 | + | 0.987824i | \(0.549724\pi\) | |||||||
\(282\) | 3.11021 | + | 3.04479i | 0.185210 | + | 0.181314i | ||||
\(283\) | 4.70800 | + | 3.86376i | 0.279862 | + | 0.229677i | 0.763844 | − | 0.645401i | \(-0.223310\pi\) |
−0.483982 | + | 0.875078i | \(0.660810\pi\) | |||||||
\(284\) | −3.55116 | + | 9.11669i | −0.210722 | + | 0.540976i | ||||
\(285\) | −1.49712 | + | 2.80092i | −0.0886819 | + | 0.165912i | ||||
\(286\) | 1.31366 | + | 0.383296i | 0.0776786 | + | 0.0226648i | ||||
\(287\) | −29.4738 | + | 29.4738i | −1.73978 | + | 1.73978i | ||||
\(288\) | 14.4826 | − | 5.24833i | 0.853397 | − | 0.309261i | ||||
\(289\) | 4.69536 | + | 4.69536i | 0.276197 | + | 0.276197i | ||||
\(290\) | 1.50585 | + | 2.74662i | 0.0884266 | + | 0.161287i | ||||
\(291\) | 1.21734 | + | 0.650683i | 0.0713619 | + | 0.0381437i | ||||
\(292\) | −2.25617 | + | 2.35419i | −0.132032 | + | 0.137769i | ||||
\(293\) | 2.46615 | − | 3.00501i | 0.144074 | − | 0.175555i | −0.695974 | − | 0.718067i | \(-0.745027\pi\) |
0.840048 | + | 0.542513i | \(0.182527\pi\) | |||||||
\(294\) | 13.6534 | − | 0.145125i | 0.796285 | − | 0.00846387i | ||||
\(295\) | 4.93546 | + | 24.8122i | 0.287354 | + | 1.44462i | ||||
\(296\) | 7.01409 | + | 15.5150i | 0.407686 | + | 0.901792i | ||||
\(297\) | −2.08306 | − | 0.414347i | −0.120872 | − | 0.0240429i | ||||
\(298\) | −3.43170 | − | 5.01958i | −0.198793 | − | 0.290776i | ||||
\(299\) | −1.33457 | + | 4.39947i | −0.0771799 | + | 0.254428i | ||||
\(300\) | −4.85225 | + | 4.15785i | −0.280145 | + | 0.240053i | ||||
\(301\) | −26.8209 | − | 32.6814i | −1.54593 | − | 1.88372i | ||||
\(302\) | 13.4534 | − | 11.2823i | 0.774154 | − | 0.649223i | ||||
\(303\) | −3.83452 | + | 9.25735i | −0.220287 | + | 0.531821i | ||||
\(304\) | 3.14519 | − | 6.53842i | 0.180389 | − | 0.375004i | ||||
\(305\) | 11.0570 | + | 26.6940i | 0.633122 | + | 1.52849i | ||||
\(306\) | −16.6063 | − | 8.65059i | −0.949318 | − | 0.494521i | ||||
\(307\) | −1.36837 | + | 13.8933i | −0.0780971 | + | 0.792933i | 0.873753 | + | 0.486370i | \(0.161679\pi\) |
−0.951850 | + | 0.306564i | \(0.900821\pi\) | |||||||
\(308\) | −7.05096 | + | 0.846139i | −0.401766 | + | 0.0482133i | ||||
\(309\) | −2.75656 | − | 5.15715i | −0.156815 | − | 0.293380i | ||||
\(310\) | −6.54422 | − | 31.1651i | −0.371687 | − | 1.77006i | ||||
\(311\) | −13.9422 | − | 20.8659i | −0.790588 | − | 1.18320i | −0.979547 | − | 0.201214i | \(-0.935511\pi\) |
0.188959 | − | 0.981985i | \(-0.439489\pi\) | |||||||
\(312\) | 1.97199 | + | 0.530167i | 0.111642 | + | 0.0300148i | ||||
\(313\) | −3.96869 | − | 2.65179i | −0.224323 | − | 0.149888i | 0.438330 | − | 0.898814i | \(-0.355570\pi\) |
−0.662654 | + | 0.748926i | \(0.730570\pi\) | |||||||
\(314\) | −20.6361 | + | 8.80589i | −1.16456 | + | 0.496945i | ||||
\(315\) | −45.4000 | + | 4.47151i | −2.55800 | + | 0.251941i | ||||
\(316\) | 2.47802 | − | 1.73306i | 0.139400 | − | 0.0974925i | ||||
\(317\) | 4.88695 | − | 1.48244i | 0.274478 | − | 0.0832621i | −0.150045 | − | 0.988679i | \(-0.547942\pi\) |
0.424523 | + | 0.905417i | \(0.360442\pi\) | |||||||
\(318\) | 8.03559 | − | 0.877767i | 0.450614 | − | 0.0492227i | ||||
\(319\) | 0.469450i | 0.0262842i | ||||||||
\(320\) | 19.4591 | − | 18.1643i | 1.08780 | − | 1.01541i | ||||
\(321\) | 2.74361i | 0.153133i | ||||||||
\(322\) | −2.59077 | − | 23.7174i | −0.144378 | − | 1.32172i | ||||
\(323\) | −8.43959 | + | 2.56012i | −0.469592 | + | 0.142449i | ||||
\(324\) | 12.9680 | + | 2.29409i | 0.720447 | + | 0.127450i | ||||
\(325\) | 8.29065 | − | 0.816558i | 0.459883 | − | 0.0452945i | ||||
\(326\) | 1.32508 | + | 3.10525i | 0.0733893 | + | 0.171984i | ||||
\(327\) | −2.15468 | − | 1.43971i | −0.119154 | − | 0.0796164i | ||||
\(328\) | 14.2705 | − | 18.5655i | 0.787959 | − | 1.02511i | ||||
\(329\) | 16.3602 | + | 24.4847i | 0.901966 | + | 1.34989i | ||||
\(330\) | −1.70904 | + | 0.358873i | −0.0940794 | + | 0.0197553i | ||||
\(331\) | −12.7344 | − | 23.8244i | −0.699947 | − | 1.30951i | −0.940805 | − | 0.338949i | \(-0.889929\pi\) |
0.240858 | − | 0.970560i | \(-0.422571\pi\) | |||||||
\(332\) | 2.61995 | − | 3.33450i | 0.143788 | − | 0.183005i | ||||
\(333\) | −1.60678 | + | 16.3139i | −0.0880511 | + | 0.893998i | ||||
\(334\) | 10.3072 | − | 19.7865i | 0.563986 | − | 1.08267i | ||||
\(335\) | 2.97434 | + | 7.18070i | 0.162506 | + | 0.392323i | ||||
\(336\) | −10.4924 | + | 1.48599i | −0.572407 | + | 0.0810674i | ||||
\(337\) | 2.48720 | − | 6.00462i | 0.135486 | − | 0.327093i | −0.841546 | − | 0.540186i | \(-0.818354\pi\) |
0.977032 | + | 0.213093i | \(0.0683539\pi\) | |||||||
\(338\) | 10.1029 | + | 12.0470i | 0.549525 | + | 0.655270i | ||||
\(339\) | 3.13240 | + | 3.81684i | 0.170128 | + | 0.207302i | ||||
\(340\) | −32.2611 | − | 2.48634i | −1.74961 | − | 0.134841i | ||||
\(341\) | 1.38543 | − | 4.56714i | 0.0750251 | − | 0.247324i | ||||
\(342\) | 5.76658 | − | 3.94240i | 0.311821 | − | 0.213180i | ||||
\(343\) | 56.0391 | + | 11.1469i | 3.02583 | + | 0.601874i | ||||
\(344\) | 17.3214 | + | 16.2506i | 0.933910 | + | 0.876173i | ||||
\(345\) | −1.14458 | − | 5.75420i | −0.0616222 | − | 0.309796i | ||||
\(346\) | 0.0906060 | + | 8.52425i | 0.00487101 | + | 0.458267i | ||||
\(347\) | 17.6051 | − | 21.4519i | 0.945092 | − | 1.15160i | −0.0432070 | − | 0.999066i | \(-0.513758\pi\) |
0.988299 | − | 0.152531i | \(-0.0487425\pi\) | |||||||
\(348\) | 0.0148903 | + | 0.700366i | 0.000798207 | + | 0.0375436i | ||||
\(349\) | 3.02469 | + | 1.61673i | 0.161908 | + | 0.0865417i | 0.550361 | − | 0.834927i | \(-0.314490\pi\) |
−0.388452 | + | 0.921469i | \(0.626990\pi\) | |||||||
\(350\) | −37.9090 | + | 20.7838i | −2.02632 | + | 1.11094i | ||||
\(351\) | 2.92168 | + | 2.92168i | 0.155948 | + | 0.155948i | ||||
\(352\) | 3.86600 | − | 0.985066i | 0.206058 | − | 0.0525042i | ||||
\(353\) | −11.2283 | + | 11.2283i | −0.597624 | + | 0.597624i | −0.939680 | − | 0.342056i | \(-0.888877\pi\) |
0.342056 | + | 0.939680i | \(0.388877\pi\) | |||||||
\(354\) | −1.58473 | + | 5.43132i | −0.0842276 | + | 0.288672i | ||||
\(355\) | −7.67324 | + | 14.3556i | −0.407253 | + | 0.761917i | ||||
\(356\) | −1.29860 | + | 0.570531i | −0.0688256 | + | 0.0302381i | ||||
\(357\) | 9.95722 | + | 8.17168i | 0.526992 | + | 0.432491i | ||||
\(358\) | −9.16016 | + | 9.35698i | −0.484130 | + | 0.494532i | ||||
\(359\) | −4.02630 | + | 0.800881i | −0.212500 | + | 0.0422689i | −0.300192 | − | 0.953879i | \(-0.597051\pi\) |
0.0876922 | + | 0.996148i | \(0.472051\pi\) | |||||||
\(360\) | 24.9637 | − | 5.79866i | 1.31570 | − | 0.305616i | ||||
\(361\) | −3.06483 | + | 15.4079i | −0.161307 | + | 0.810945i | ||||
\(362\) | 6.15282 | − | 32.7477i | 0.323385 | − | 1.72118i | ||||
\(363\) | 5.28850 | + | 1.60425i | 0.277574 | + | 0.0842012i | ||||
\(364\) | 12.3200 | + | 6.25219i | 0.645743 | + | 0.327704i | ||||
\(365\) | −4.19357 | + | 3.44157i | −0.219501 | + | 0.180140i | ||||
\(366\) | −0.564981 | + | 6.43704i | −0.0295320 | + | 0.336469i | ||||
\(367\) | 10.5999 | + | 4.39063i | 0.553311 | + | 0.229189i | 0.641778 | − | 0.766890i | \(-0.278197\pi\) |
−0.0884674 | + | 0.996079i | \(0.528197\pi\) | |||||||
\(368\) | 3.17121 | + | 13.0227i | 0.165311 | + | 0.678857i | ||||
\(369\) | 20.8284 | − | 8.62739i | 1.08428 | − | 0.449124i | ||||
\(370\) | 8.51080 | + | 27.0192i | 0.442456 | + | 1.40466i | ||||
\(371\) | 54.4263 | + | 5.36052i | 2.82567 | + | 0.278304i | ||||
\(372\) | 1.92203 | − | 6.85760i | 0.0996529 | − | 0.355550i | ||||
\(373\) | −23.9484 | + | 12.8007i | −1.24000 | + | 0.662795i | −0.955248 | − | 0.295806i | \(-0.904412\pi\) |
−0.284754 | + | 0.958601i | \(0.591912\pi\) | |||||||
\(374\) | −4.06053 | − | 2.65117i | −0.209965 | − | 0.137089i | ||||
\(375\) | −1.56040 | + | 1.04263i | −0.0805787 | + | 0.0538410i | ||||
\(376\) | −10.8972 | − | 12.4469i | −0.561980 | − | 0.641901i | ||||
\(377\) | 0.507396 | − | 0.759372i | 0.0261322 | − | 0.0391096i | ||||
\(378\) | −19.8963 | − | 7.99465i | −1.02336 | − | 0.411200i | ||||
\(379\) | −2.77466 | − | 28.1716i | −0.142525 | − | 1.44708i | −0.754552 | − | 0.656241i | \(-0.772146\pi\) |
0.612027 | − | 0.790837i | \(-0.290354\pi\) | |||||||
\(380\) | 6.49154 | − | 10.1771i | 0.333009 | − | 0.522076i | ||||
\(381\) | −1.71019 | − | 5.63775i | −0.0876158 | − | 0.288831i | ||||
\(382\) | −1.85924 | + | 2.31524i | −0.0951270 | + | 0.118458i | ||||
\(383\) | 4.29522 | 0.219475 | 0.109738 | − | 0.993961i | \(-0.464999\pi\) | ||||
0.109738 | + | 0.993961i | \(0.464999\pi\) | |||||||
\(384\) | 5.73639 | − | 1.59223i | 0.292734 | − | 0.0812532i | ||||
\(385\) | −11.8150 | −0.602147 | ||||||||
\(386\) | −3.24042 | + | 4.03517i | −0.164933 | + | 0.205385i | ||||
\(387\) | 6.63787 | + | 21.8821i | 0.337422 | + | 1.11233i | ||||
\(388\) | −4.42321 | − | 2.82137i | −0.224554 | − | 0.143233i | ||||
\(389\) | 2.75229 | + | 27.9445i | 0.139547 | + | 1.41684i | 0.768725 | + | 0.639580i | \(0.220892\pi\) |
−0.629178 | + | 0.777261i | \(0.716608\pi\) | |||||||
\(390\) | 3.15238 | + | 1.26667i | 0.159627 | + | 0.0641405i | ||||
\(391\) | 9.05141 | − | 13.5464i | 0.457749 | − | 0.685070i | ||||
\(392\) | −51.7836 | − | 3.43769i | −2.61547 | − | 0.173629i | ||||
\(393\) | 5.97196 | − | 3.99033i | 0.301245 | − | 0.201286i | ||||
\(394\) | 3.82233 | + | 2.49565i | 0.192566 | + | 0.125729i | ||||
\(395\) | 4.43690 | − | 2.37158i | 0.223245 | − | 0.119327i | ||||
\(396\) | 3.69846 | + | 1.03660i | 0.185855 | + | 0.0520910i | ||||
\(397\) | 20.1791 | + | 1.98747i | 1.01276 | + | 0.0997482i | 0.590760 | − | 0.806848i | \(-0.298828\pi\) |
0.422000 | + | 0.906596i | \(0.361328\pi\) | |||||||
\(398\) | 9.42893 | + | 29.9339i | 0.472630 | + | 1.50045i | ||||
\(399\) | −4.43969 | + | 1.83898i | −0.222263 | + | 0.0920642i | ||||
\(400\) | 19.6025 | − | 14.3394i | 0.980123 | − | 0.716972i | ||||
\(401\) | 14.2384 | + | 5.89776i | 0.711034 | + | 0.294520i | 0.708732 | − | 0.705477i | \(-0.249267\pi\) |
0.00230158 | + | 0.999997i | \(0.499267\pi\) | |||||||
\(402\) | −0.151980 | + | 1.73157i | −0.00758010 | + | 0.0863629i | ||||
\(403\) | −7.17733 | + | 5.89029i | −0.357528 | + | 0.293416i | ||||
\(404\) | 17.2350 | − | 33.9618i | 0.857475 | − | 1.68966i | ||||
\(405\) | 20.9667 | + | 6.36019i | 1.04184 | + | 0.316040i | ||||
\(406\) | −0.875177 | + | 4.65802i | −0.0434343 | + | 0.231174i | ||||
\(407\) | −0.828268 | + | 4.16399i | −0.0410557 | + | 0.206401i | ||||
\(408\) | −6.14194 | − | 3.82645i | −0.304071 | − | 0.189437i | ||||
\(409\) | −0.996038 | + | 0.198124i | −0.0492509 | + | 0.00979662i | −0.219654 | − | 0.975578i | \(-0.570493\pi\) |
0.170403 | + | 0.985374i | \(0.445493\pi\) | |||||||
\(410\) | 27.2533 | − | 27.8388i | 1.34594 | − | 1.37486i | ||||
\(411\) | 0.578313 | + | 0.474609i | 0.0285261 | + | 0.0234107i | ||||
\(412\) | 8.94005 | + | 20.3487i | 0.440445 | + | 1.00251i | ||||
\(413\) | −18.0445 | + | 33.7589i | −0.887913 | + | 1.66117i | ||||
\(414\) | −3.61444 | + | 12.3877i | −0.177640 | + | 0.608822i | ||||
\(415\) | 4.98880 | − | 4.98880i | 0.244891 | − | 0.244891i | ||||
\(416\) | −7.31824 | − | 2.58507i | −0.358806 | − | 0.126743i | ||||
\(417\) | 2.31236 | + | 2.31236i | 0.113237 | + | 0.113237i | ||||
\(418\) | 1.58636 | − | 0.869732i | 0.0775916 | − | 0.0425400i | ||||
\(419\) | 3.58820 | + | 1.91793i | 0.175295 | + | 0.0936971i | 0.556711 | − | 0.830707i | \(-0.312063\pi\) |
−0.381415 | + | 0.924404i | \(0.624563\pi\) | |||||||
\(420\) | −17.6266 | + | 0.374755i | −0.860090 | + | 0.0182862i | ||||
\(421\) | −6.76913 | + | 8.24821i | −0.329907 | + | 0.401993i | −0.911375 | − | 0.411576i | \(-0.864979\pi\) |
0.581468 | + | 0.813569i | \(0.302479\pi\) | |||||||
\(422\) | −0.279641 | − | 26.3088i | −0.0136127 | − | 1.28069i | ||||
\(423\) | −3.10723 | − | 15.6211i | −0.151079 | − | 0.759525i | ||||
\(424\) | −30.7081 | + | 0.979502i | −1.49132 | + | 0.0475688i | ||||
\(425\) | −28.9548 | − | 5.75946i | −1.40451 | − | 0.279375i | ||||
\(426\) | −3.00520 | + | 2.05455i | −0.145602 | + | 0.0995431i | ||||
\(427\) | −12.6908 | + | 41.8359i | −0.614150 | + | 2.02458i | ||||
\(428\) | 0.801305 | − | 10.3972i | 0.0387325 | − | 0.502568i | ||||
\(429\) | 0.323013 | + | 0.393592i | 0.0155952 | + | 0.0190028i | ||||
\(430\) | 25.3914 | + | 30.2774i | 1.22448 | + | 1.46011i | ||||
\(431\) | −3.38606 | + | 8.17468i | −0.163101 | + | 0.393760i | −0.984209 | − | 0.177013i | \(-0.943357\pi\) |
0.821108 | + | 0.570773i | \(0.193357\pi\) | |||||||
\(432\) | 11.6655 | + | 3.00367i | 0.561256 | + | 0.144514i | ||||
\(433\) | −12.4740 | − | 30.1149i | −0.599462 | − | 1.44723i | −0.874131 | − | 0.485691i | \(-0.838568\pi\) |
0.274668 | − | 0.961539i | \(-0.411432\pi\) | |||||||
\(434\) | 22.2609 | − | 42.7337i | 1.06856 | − | 2.05128i | ||||
\(435\) | −0.114237 | + | 1.15986i | −0.00547723 | + | 0.0556112i | ||||
\(436\) | 7.74492 | + | 6.08525i | 0.370914 | + | 0.291431i | ||||
\(437\) | 2.86516 | + | 5.36033i | 0.137059 | + | 0.256420i | ||||
\(438\) | −1.18736 | + | 0.249329i | −0.0567344 | + | 0.0119134i | ||||
\(439\) | −3.41397 | − | 5.10936i | −0.162940 | − | 0.243857i | 0.741011 | − | 0.671493i | \(-0.234346\pi\) |
−0.903951 | + | 0.427636i | \(0.859346\pi\) | |||||||
\(440\) | 6.58139 | − | 0.860842i | 0.313755 | − | 0.0410391i | ||||
\(441\) | −41.5446 | − | 27.7592i | −1.97831 | − | 1.32187i | ||||
\(442\) | 3.70275 | + | 8.67721i | 0.176122 | + | 0.412733i | ||||
\(443\) | −18.6769 | + | 1.83951i | −0.887365 | + | 0.0873978i | −0.531419 | − | 0.847109i | \(-0.678341\pi\) |
−0.355945 | + | 0.934507i | \(0.615841\pi\) | |||||||
\(444\) | −1.10361 | + | 6.23846i | −0.0523748 | + | 0.296064i | ||||
\(445\) | −2.25821 | + | 0.685020i | −0.107049 | + | 0.0324730i | ||||
\(446\) | 0.350646 | + | 3.21001i | 0.0166036 | + | 0.151999i | ||||
\(447\) | − | 2.26243i | − | 0.107009i | ||||||
\(448\) | 40.1960 | − | 2.56689i | 1.89908 | − | 0.121274i | ||||
\(449\) | − | 8.40638i | − | 0.396721i | −0.980129 | − | 0.198361i | \(-0.936438\pi\) | ||
0.980129 | − | 0.198361i | \(-0.0635617\pi\) | |||||||
\(450\) | 23.2448 | − | 2.53914i | 1.09577 | − | 0.119696i | ||||
\(451\) | 5.58734 | − | 1.69490i | 0.263098 | − | 0.0798098i | ||||
\(452\) | −10.7558 | − | 15.3792i | −0.505910 | − | 0.723375i | ||||
\(453\) | 6.50150 | − | 0.640342i | 0.305467 | − | 0.0300859i | ||||
\(454\) | −26.9046 | + | 11.4808i | −1.26269 | + | 0.538819i | ||||
\(455\) | 19.1116 | + | 12.7700i | 0.895966 | + | 0.598666i | ||||
\(456\) | 2.33909 | − | 1.34786i | 0.109538 | − | 0.0631193i | ||||
\(457\) | −17.9435 | − | 26.8544i | −0.839363 | − | 1.25620i | −0.964507 | − | 0.264057i | \(-0.914939\pi\) |
0.125144 | − | 0.992139i | \(-0.460061\pi\) | |||||||
\(458\) | 3.39862 | + | 16.1850i | 0.158807 | + | 0.756276i | ||||
\(459\) | −6.90232 | − | 12.9133i | −0.322173 | − | 0.602743i | ||||
\(460\) | 2.65693 | + | 22.1404i | 0.123880 | + | 1.03230i | ||||
\(461\) | 2.07673 | − | 21.0854i | 0.0967231 | − | 0.982046i | −0.817253 | − | 0.576279i | \(-0.804504\pi\) |
0.913976 | − | 0.405767i | \(-0.132996\pi\) | |||||||
\(462\) | −2.34344 | − | 1.22075i | −0.109027 | − | 0.0567944i | ||||
\(463\) | 15.0941 | + | 36.4405i | 0.701484 | + | 1.69353i | 0.720256 | + | 0.693708i | \(0.244024\pi\) |
−0.0187726 | + | 0.999824i | \(0.505976\pi\) | |||||||
\(464\) | 0.148122 | − | 2.65846i | 0.00687638 | − | 0.123416i | ||||
\(465\) | 4.53433 | − | 10.9468i | 0.210274 | − | 0.507647i | ||||
\(466\) | −19.3043 | + | 16.1890i | −0.894253 | + | 0.749942i | ||||
\(467\) | 16.0077 | + | 19.5054i | 0.740747 | + | 0.902602i | 0.997966 | − | 0.0637506i | \(-0.0203062\pi\) |
−0.257219 | + | 0.966353i | \(0.582806\pi\) | |||||||
\(468\) | −4.86215 | − | 5.67418i | −0.224753 | − | 0.262289i | ||||
\(469\) | −3.41383 | + | 11.2539i | −0.157636 | + | 0.519657i | ||||
\(470\) | −15.5334 | − | 22.7208i | −0.716501 | − | 1.04803i | ||||
\(471\) | −8.18772 | − | 1.62864i | −0.377270 | − | 0.0750437i | ||||
\(472\) | 7.59180 | − | 20.1197i | 0.349441 | − | 0.926086i | ||||
\(473\) | 1.15537 | + | 5.80843i | 0.0531239 | + | 0.267072i | ||||
\(474\) | 1.12507 | − | 0.0119586i | 0.0516763 | − | 0.000549278i | ||||
\(475\) | 6.98698 | − | 8.51366i | 0.320585 | − | 0.390634i | ||||
\(476\) | −35.3473 | − | 33.8755i | −1.62014 | − | 1.55268i | ||||
\(477\) | −26.0870 | − | 13.9438i | −1.19444 | − | 0.638442i | ||||
\(478\) | 12.4783 | + | 22.7600i | 0.570744 | + | 1.04102i | ||||
\(479\) | −9.89404 | − | 9.89404i | −0.452070 | − | 0.452070i | 0.443971 | − | 0.896041i | \(-0.353569\pi\) |
−0.896041 | + | 0.443971i | \(0.853569\pi\) | |||||||
\(480\) | 9.79138 | − | 1.49303i | 0.446913 | − | 0.0681473i | ||||
\(481\) | 5.84035 | − | 5.84035i | 0.266297 | − | 0.266297i | ||||
\(482\) | 13.6362 | + | 3.97873i | 0.621112 | + | 0.181226i | ||||
\(483\) | 4.18470 | − | 7.82902i | 0.190410 | − | 0.356233i | ||||
\(484\) | −19.5728 | − | 7.62404i | −0.889672 | − | 0.346547i | ||||
\(485\) | −6.74727 | − | 5.53734i | −0.306378 | − | 0.251438i | ||||
\(486\) | 12.6315 | + | 12.3658i | 0.572976 | + | 0.560924i | ||||
\(487\) | −3.77353 | + | 0.750601i | −0.170995 | + | 0.0340130i | −0.279845 | − | 0.960045i | \(-0.590283\pi\) |
0.108850 | + | 0.994058i | \(0.465283\pi\) | |||||||
\(488\) | 4.02107 | − | 24.2288i | 0.182025 | − | 1.09679i | ||||
\(489\) | −0.245072 | + | 1.23206i | −0.0110825 | + | 0.0557156i | ||||
\(490\) | −84.8581 | − | 15.9436i | −3.83350 | − | 0.720260i | ||||
\(491\) | −36.8156 | − | 11.1679i | −1.66146 | − | 0.503999i | −0.686643 | − | 0.726995i | \(-0.740916\pi\) |
−0.974819 | + | 0.222996i | \(0.928416\pi\) | |||||||
\(492\) | 8.28191 | − | 2.70582i | 0.373378 | − | 0.121988i | ||||
\(493\) | −2.50181 | + | 2.05318i | −0.112676 | + | 0.0924708i | ||||
\(494\) | −3.50610 | − | 0.307731i | −0.157747 | − | 0.0138455i | ||||
\(495\) | 5.90388 | + | 2.44547i | 0.265360 | + | 0.109916i | ||||
\(496\) | −9.28660 | + | 25.4262i | −0.416981 | + | 1.14167i | ||||
\(497\) | −22.7549 | + | 9.42537i | −1.02069 | + | 0.422786i | ||||
\(498\) | 1.50496 | − | 0.474049i | 0.0674387 | − | 0.0212426i | ||||
\(499\) | −17.3609 | − | 1.70990i | −0.777179 | − | 0.0765455i | −0.298354 | − | 0.954455i | \(-0.596437\pi\) |
−0.478826 | + | 0.877910i | \(0.658937\pi\) | |||||||
\(500\) | 6.21781 | − | 3.49541i | 0.278069 | − | 0.156319i | ||||
\(501\) | 7.32096 | − | 3.91313i | 0.327076 | − | 0.174826i | ||||
\(502\) | −0.741417 | + | 1.13555i | −0.0330911 | + | 0.0506822i | ||||
\(503\) | 5.53508 | − | 3.69842i | 0.246797 | − | 0.164904i | −0.426019 | − | 0.904714i | \(-0.640084\pi\) |
0.672816 | + | 0.739810i | \(0.265084\pi\) | |||||||
\(504\) | 34.7647 | + | 17.1803i | 1.54854 | + | 0.765272i | ||||
\(505\) | 35.2022 | − | 52.6838i | 1.56648 | − | 2.34440i | ||||
\(506\) | −1.24606 | + | 3.10107i | −0.0553939 | + | 0.137859i | ||||
\(507\) | 0.573403 | + | 5.82186i | 0.0254657 | + | 0.258558i | ||||
\(508\) | 4.83438 | + | 21.8643i | 0.214491 | + | 0.970072i | ||||
\(509\) | −3.85818 | − | 12.7187i | −0.171011 | − | 0.563747i | −0.999990 | − | 0.00446778i | \(-0.998578\pi\) |
0.828979 | − | 0.559280i | \(-0.188922\pi\) | |||||||
\(510\) | −9.38715 | − | 7.53830i | −0.415670 | − | 0.333801i | ||||
\(511\) | −8.20852 | −0.363124 | ||||||||
\(512\) | −22.2037 | + | 4.35855i | −0.981273 | + | 0.192622i | ||||
\(513\) | 5.46252 | 0.241176 | ||||||||
\(514\) | −6.48568 | − | 5.20829i | −0.286071 | − | 0.229728i | ||||
\(515\) | 10.7341 | + | 35.3855i | 0.472999 | + | 1.55927i | ||||
\(516\) | 1.90791 | + | 8.62887i | 0.0839912 | + | 0.379865i | ||||
\(517\) | −0.404316 | − | 4.10509i | −0.0177818 | − | 0.180542i | ||||
\(518\) | −15.9811 | + | 39.7722i | −0.702168 | + | 1.74749i | ||||
\(519\) | −1.76220 | + | 2.63732i | −0.0773519 | + | 0.115765i | ||||
\(520\) | −11.5763 | − | 5.72088i | −0.507655 | − | 0.250877i | ||||
\(521\) | 12.9212 | − | 8.63367i | 0.566088 | − | 0.378248i | −0.239345 | − | 0.970935i | \(-0.576933\pi\) |
0.805433 | + | 0.592687i | \(0.201933\pi\) | |||||||
\(522\) | 1.40144 | − | 2.14644i | 0.0613394 | − | 0.0939473i | ||||
\(523\) | 11.6761 | − | 6.24101i | 0.510560 | − | 0.272900i | −0.195936 | − | 0.980617i | \(-0.562775\pi\) |
0.706497 | + | 0.707716i | \(0.250275\pi\) | |||||||
\(524\) | −23.7968 | + | 13.3776i | −1.03957 | + | 0.584404i | ||||
\(525\) | −16.0085 | − | 1.57670i | −0.698668 | − | 0.0688128i | ||||
\(526\) | −29.2710 | + | 9.22011i | −1.27628 | + | 0.402016i | ||||
\(527\) | 30.3987 | − | 12.5915i | 1.32419 | − | 0.548496i | ||||
\(528\) | 1.39433 | + | 0.509260i | 0.0606803 | + | 0.0221627i | ||||
\(529\) | 10.8759 | + | 4.50495i | 0.472866 | + | 0.195867i | ||||
\(530\) | −50.9198 | − | 4.46925i | −2.21182 | − | 0.194132i | ||||
\(531\) | 16.0042 | − | 13.1343i | 0.694522 | − | 0.569980i | ||||
\(532\) | 17.3618 | − | 5.67235i | 0.752728 | − | 0.245927i | ||||
\(533\) | −10.8698 | − | 3.29733i | −0.470825 | − | 0.142823i | ||||
\(534\) | −0.518681 | − | 0.0974530i | −0.0224455 | − | 0.00421720i | ||||
\(535\) | 3.38468 | − | 17.0160i | 0.146333 | − | 0.735664i | ||||
\(536\) | 1.08167 | − | 6.51758i | 0.0467211 | − | 0.281517i | ||||
\(537\) | −4.77851 | + | 0.950505i | −0.206208 | + | 0.0410173i | ||||
\(538\) | −7.43635 | − | 7.27993i | −0.320604 | − | 0.313860i | ||||
\(539\) | −10.0031 | − | 8.20931i | −0.430863 | − | 0.353600i | ||||
\(540\) | 18.6744 | + | 7.27411i | 0.803620 | + | 0.313028i | ||||
\(541\) | −14.5357 | + | 27.1944i | −0.624938 | + | 1.16918i | 0.347865 | + | 0.937545i | \(0.386907\pi\) |
−0.972803 | + | 0.231633i | \(0.925593\pi\) | |||||||
\(542\) | 26.5634 | + | 7.75057i | 1.14099 | + | 0.332916i | ||||
\(543\) | 8.76665 | − | 8.76665i | 0.376213 | − | 0.376213i | ||||
\(544\) | 22.1580 | + | 16.2946i | 0.950015 | + | 0.698623i | ||||
\(545\) | 11.5873 | + | 11.5873i | 0.496345 | + | 0.496345i | ||||
\(546\) | 2.47127 | + | 4.50751i | 0.105760 | + | 0.192904i | ||||
\(547\) | −32.0670 | − | 17.1401i | −1.37108 | − | 0.732860i | −0.388988 | − | 0.921243i | \(-0.627175\pi\) |
−0.982096 | + | 0.188383i | \(0.939675\pi\) | |||||||
\(548\) | −2.05296 | − | 1.96748i | −0.0876982 | − | 0.0840468i | ||||
\(549\) | 15.0007 | − | 18.2784i | 0.640215 | − | 0.780104i | ||||
\(550\) | 6.05560 | − | 0.0643662i | 0.258212 | − | 0.00274458i | ||||
\(551\) | −0.235554 | − | 1.18421i | −0.0100349 | − | 0.0504490i | ||||
\(552\) | −1.76061 | + | 4.66596i | −0.0749366 | + | 0.198597i | ||||
\(553\) | 7.46605 | + | 1.48509i | 0.317489 | + | 0.0631524i | ||||
\(554\) | 18.1912 | + | 26.6084i | 0.772871 | + | 1.13048i | ||||
\(555\) | −3.05966 | + | 10.0863i | −0.129875 | + | 0.428142i | ||||
\(556\) | −8.08758 | − | 9.43828i | −0.342990 | − | 0.400272i | ||||
\(557\) | 10.5461 | + | 12.8504i | 0.446851 | + | 0.544490i | 0.946909 | − | 0.321502i | \(-0.104188\pi\) |
−0.500057 | + | 0.865992i | \(0.666688\pi\) | |||||||
\(558\) | −19.9687 | + | 16.7462i | −0.845343 | + | 0.708924i | ||||
\(559\) | 4.40903 | − | 10.6443i | 0.186482 | − | 0.450207i | ||||
\(560\) | 66.9073 | + | 3.72788i | 2.82735 | + | 0.157532i | ||||
\(561\) | −0.690497 | − | 1.66701i | −0.0291528 | − | 0.0703811i | ||||
\(562\) | 14.5199 | + | 7.56374i | 0.612485 | + | 0.319057i | ||||
\(563\) | 2.99062 | − | 30.3642i | 0.126039 | − | 1.27970i | −0.699204 | − | 0.714922i | \(-0.746462\pi\) |
0.825243 | − | 0.564777i | \(-0.191038\pi\) | |||||||
\(564\) | −0.733401 | − | 6.11150i | −0.0308818 | − | 0.257340i | ||||
\(565\) | −14.7185 | − | 27.5364i | −0.619214 | − | 1.15847i | ||||
\(566\) | −1.77005 | − | 8.42940i | −0.0744008 | − | 0.354314i | ||||
\(567\) | 18.4184 | + | 27.5650i | 0.773499 | + | 1.15762i | ||||
\(568\) | 11.9886 | − | 6.90821i | 0.503030 | − | 0.289862i | ||||
\(569\) | 27.1855 | + | 18.1648i | 1.13968 | + | 0.761507i | 0.974418 | − | 0.224744i | \(-0.0721544\pi\) |
0.165258 | + | 0.986250i | \(0.447154\pi\) | |||||||
\(570\) | 4.13105 | − | 1.76281i | 0.173031 | − | 0.0738359i | ||||
\(571\) | 17.8071 | − | 1.75385i | 0.745205 | − | 0.0733963i | 0.281715 | − | 0.959498i | \(-0.409097\pi\) |
0.463490 | + | 0.886102i | \(0.346597\pi\) | |||||||
\(572\) | −1.10914 | − | 1.58590i | −0.0463753 | − | 0.0663097i | ||||
\(573\) | −1.05726 | + | 0.320717i | −0.0441678 | + | 0.0133981i | ||||
\(574\) | 58.5990 | − | 6.40105i | 2.44587 | − | 0.267175i | ||||
\(575\) | 20.3456i | 0.848472i | ||||||||
\(576\) | −20.6170 | − | 7.03712i | −0.859043 | − | 0.293213i | ||||
\(577\) | 19.6083i | 0.816306i | 0.912914 | + | 0.408153i | \(0.133827\pi\) | ||||
−0.912914 | + | 0.408153i | \(0.866173\pi\) | |||||||
\(578\) | −1.01973 | − | 9.33518i | −0.0424151 | − | 0.388292i | ||||
\(579\) | −1.84267 | + | 0.558969i | −0.0765789 | + | 0.0232300i | ||||
\(580\) | 0.771664 | − | 4.36206i | 0.0320416 | − | 0.181125i | ||||
\(581\) | 10.6238 | − | 1.04636i | 0.440751 | − | 0.0434102i | ||||
\(582\) | −0.766156 | − | 1.79545i | −0.0317582 | − | 0.0744237i | ||||
\(583\) | −6.36973 | − | 4.25612i | −0.263807 | − | 0.176270i | ||||
\(584\) | 4.57246 | − | 0.598075i | 0.189210 | − | 0.0247485i | ||||
\(585\) | −6.90684 | − | 10.3368i | −0.285563 | − | 0.427375i | ||||
\(586\) | −5.38030 | + | 1.12979i | −0.222258 | + | 0.0466710i | ||||
\(587\) | −1.72772 | − | 3.23234i | −0.0713107 | − | 0.133413i | 0.843740 | − | 0.536753i | \(-0.180349\pi\) |
−0.915050 | + | 0.403340i | \(0.867849\pi\) | |||||||
\(588\) | −15.1838 | − | 11.9301i | −0.626171 | − | 0.491988i | ||||
\(589\) | −1.20317 | + | 12.2160i | −0.0495756 | + | 0.503350i | ||||
\(590\) | 16.5290 | − | 31.7302i | 0.680487 | − | 1.30631i | ||||
\(591\) | 0.649992 | + | 1.56922i | 0.0267371 | + | 0.0645491i | ||||
\(592\) | 6.00425 | − | 23.3190i | 0.246773 | − | 0.958405i | ||||
\(593\) | −2.08184 | + | 5.02600i | −0.0854909 | + | 0.206393i | −0.960843 | − | 0.277092i | \(-0.910629\pi\) |
0.875353 | + | 0.483485i | \(0.160629\pi\) | |||||||
\(594\) | 1.93004 | + | 2.30144i | 0.0791905 | + | 0.0944292i | ||||
\(595\) | −51.6739 | − | 62.9648i | −2.11842 | − | 2.58130i | ||||
\(596\) | −0.660771 | + | 8.57373i | −0.0270662 | + | 0.351194i | ||||
\(597\) | −3.38973 | + | 11.1744i | −0.138732 | + | 0.457339i | ||||
\(598\) | 5.36732 | − | 3.66944i | 0.219486 | − | 0.150054i | ||||
\(599\) | 47.5331 | + | 9.45491i | 1.94215 | + | 0.386317i | 0.998460 | + | 0.0554825i | \(0.0176697\pi\) |
0.943689 | + | 0.330835i | \(0.107330\pi\) | |||||||
\(600\) | 9.03222 | − | 0.288103i | 0.368739 | − | 0.0117617i | ||||
\(601\) | −3.73405 | − | 18.7723i | −0.152315 | − | 0.765739i | −0.979125 | − | 0.203258i | \(-0.934847\pi\) |
0.826810 | − | 0.562481i | \(-0.190153\pi\) | |||||||
\(602\) | 0.635486 | + | 59.7868i | 0.0259005 | + | 2.43673i | ||||
\(603\) | 4.03521 | − | 4.91692i | 0.164326 | − | 0.200232i | ||||
\(604\) | −24.8251 | + | 0.527802i | −1.01012 | + | 0.0214760i | ||||
\(605\) | −30.8203 | − | 16.4738i | −1.25302 | − | 0.669755i | ||||
\(606\) | 12.4256 | − | 6.81239i | 0.504755 | − | 0.276735i | ||||
\(607\) | −5.47353 | − | 5.47353i | −0.222164 | − | 0.222164i | 0.587245 | − | 0.809409i | \(-0.300212\pi\) |
−0.809409 | + | 0.587245i | \(0.800212\pi\) | |||||||
\(608\) | −9.25788 | + | 4.42470i | −0.375457 | + | 0.179445i | ||||
\(609\) | −1.24697 | + | 1.24697i | −0.0505297 | + | 0.0505297i | ||||
\(610\) | 11.4451 | − | 39.2257i | 0.463401 | − | 1.58820i | ||||
\(611\) | −3.78289 | + | 7.07729i | −0.153039 | + | 0.286316i | ||||
\(612\) | 10.6513 | + | 24.2436i | 0.430552 | + | 0.979990i | ||||
\(613\) | −10.2489 | − | 8.41105i | −0.413949 | − | 0.339719i | 0.404256 | − | 0.914646i | \(-0.367531\pi\) |
−0.818205 | + | 0.574927i | \(0.805031\pi\) | |||||||
\(614\) | 13.8114 | − | 14.1081i | 0.557382 | − | 0.569358i | ||||
\(615\) | 14.2170 | − | 2.82794i | 0.573285 | − | 0.114033i | ||||
\(616\) | 8.52417 | + | 5.31059i | 0.343449 | + | 0.213970i | ||||
\(617\) | −3.42804 | + | 17.2339i | −0.138008 | + | 0.693811i | 0.848382 | + | 0.529385i | \(0.177577\pi\) |
−0.986389 | + | 0.164426i | \(0.947423\pi\) | |||||||
\(618\) | −1.52706 | + | 8.12759i | −0.0614273 | + | 0.326940i | ||||
\(619\) | 3.47145 | + | 1.05305i | 0.139529 | + | 0.0423258i | 0.359277 | − | 0.933231i | \(-0.383023\pi\) |
−0.219748 | + | 0.975557i | \(0.570523\pi\) | |||||||
\(620\) | −20.3805 | + | 40.1599i | −0.818499 | + | 1.61286i | ||||
\(621\) | −7.80044 | + | 6.40165i | −0.313021 | + | 0.256890i | ||||
\(622\) | −3.10304 | + | 35.3541i | −0.124421 | + | 1.41757i | ||||
\(623\) | −3.29884 | − | 1.36642i | −0.132165 | − | 0.0547446i | ||||
\(624\) | −1.70501 | − | 2.33080i | −0.0682550 | − | 0.0933066i | ||||
\(625\) | −17.0843 | + | 7.07657i | −0.683374 | + | 0.283063i | ||||
\(626\) | 2.02802 | + | 6.43833i | 0.0810560 | + | 0.257327i | ||||
\(627\) | 0.669901 | + | 0.0659795i | 0.0267533 | + | 0.00263497i | ||||
\(628\) | 30.5526 | + | 8.56322i | 1.21918 | + | 0.341710i | ||||
\(629\) | −25.8134 | + | 13.7975i | −1.02925 | + | 0.550144i | ||||
\(630\) | 54.0210 | + | 35.2710i | 2.15225 | + | 1.40523i | ||||
\(631\) | −24.3971 | + | 16.3016i | −0.971233 | + | 0.648957i | −0.936584 | − | 0.350442i | \(-0.886031\pi\) |
−0.0346487 | + | 0.999400i | \(0.511031\pi\) | |||||||
\(632\) | −4.26708 | − | 0.283273i | −0.169735 | − | 0.0112680i | ||||
\(633\) | 5.43875 | − | 8.13967i | 0.216171 | − | 0.323523i | ||||
\(634\) | −6.70142 | − | 2.69273i | −0.266147 | − | 0.106942i | ||||
\(635\) | 3.65160 | + | 37.0753i | 0.144909 | + | 1.47129i | ||||
\(636\) | −9.63791 | − | 6.14760i | −0.382168 | − | 0.243768i | ||||
\(637\) | 7.30787 | + | 24.0908i | 0.289548 | + | 0.954512i | ||||
\(638\) | 0.415697 | − | 0.517651i | 0.0164576 | − | 0.0204940i | ||||
\(639\) | 13.3213 | 0.526984 | ||||||||
\(640\) | −37.5415 | + | 2.79831i | −1.48396 | + | 0.110613i | ||||
\(641\) | 13.6451 | 0.538950 | 0.269475 | − | 0.963007i | \(-0.413150\pi\) | ||||
0.269475 | + | 0.963007i | \(0.413150\pi\) | |||||||
\(642\) | 2.42946 | − | 3.02531i | 0.0958832 | − | 0.119400i | ||||
\(643\) | 1.36401 | + | 4.49655i | 0.0537915 | + | 0.177327i | 0.979720 | − | 0.200373i | \(-0.0642153\pi\) |
−0.925928 | + | 0.377699i | \(0.876715\pi\) | |||||||
\(644\) | −18.1449 | + | 28.4467i | −0.715010 | + | 1.12096i | ||||
\(645\) | 1.44112 | + | 14.6319i | 0.0567441 | + | 0.576132i | ||||
\(646\) | 11.5731 | + | 4.65026i | 0.455338 | + | 0.182962i | ||||
\(647\) | −2.61226 | + | 3.90952i | −0.102698 | + | 0.153699i | −0.879260 | − | 0.476343i | \(-0.841962\pi\) |
0.776561 | + | 0.630042i | \(0.216962\pi\) | |||||||
\(648\) | −12.2681 | − | 14.0128i | −0.481938 | − | 0.550475i | ||||
\(649\) | 4.45836 | − | 2.97898i | 0.175006 | − | 0.116935i | ||||
\(650\) | −9.86496 | − | 6.44095i | −0.386936 | − | 0.252635i | ||||
\(651\) | 15.8114 | − | 8.45136i | 0.619697 | − | 0.331235i | ||||
\(652\) | 1.28856 | − | 4.59744i | 0.0504640 | − | 0.180050i | ||||
\(653\) | −5.92552 | − | 0.583613i | −0.231883 | − | 0.0228385i | −0.0185921 | − | 0.999827i | \(-0.505918\pi\) |
−0.213291 | + | 0.976989i | \(0.568418\pi\) | |||||||
\(654\) | 1.10105 | + | 3.49551i | 0.0430547 | + | 0.136685i | ||||
\(655\) | −41.9610 | + | 17.3808i | −1.63955 | + | 0.679124i | ||||
\(656\) | −32.1755 | + | 7.83517i | −1.25624 | + | 0.305912i | ||||
\(657\) | 4.10175 | + | 1.69900i | 0.160025 | + | 0.0662844i | ||||
\(658\) | 3.64121 | − | 41.4856i | 0.141949 | − | 1.61728i | ||||
\(659\) | −28.8837 | + | 23.7042i | −1.12515 | + | 0.923385i | −0.997654 | − | 0.0684546i | \(-0.978193\pi\) |
−0.127493 | + | 0.991839i | \(0.540693\pi\) | |||||||
\(660\) | 2.20229 | + | 1.11763i | 0.0857242 | + | 0.0435036i | ||||
\(661\) | 29.6848 | + | 9.00480i | 1.15461 | + | 0.350246i | 0.808814 | − | 0.588065i | \(-0.200110\pi\) |
0.345793 | + | 0.938311i | \(0.387610\pi\) | |||||||
\(662\) | −7.05454 | + | 37.5469i | −0.274182 | + | 1.45930i | ||||
\(663\) | −0.684820 | + | 3.44282i | −0.0265962 | + | 0.133708i | ||||
\(664\) | −5.84164 | + | 1.35692i | −0.226700 | + | 0.0526586i | ||||
\(665\) | 29.8038 | − | 5.92834i | 1.15574 | − | 0.229891i | ||||
\(666\) | 16.2177 | − | 16.5662i | 0.628424 | − | 0.641926i | ||||
\(667\) | 1.72417 | + | 1.41499i | 0.0667601 | + | 0.0547886i | ||||
\(668\) | −28.8864 | + | 12.6911i | −1.11765 | + | 0.491032i | ||||
\(669\) | −0.566375 | + | 1.05961i | −0.0218973 | + | 0.0409670i | ||||
\(670\) | 3.07876 | − | 10.5518i | 0.118943 | − | 0.407650i | ||||
\(671\) | 4.33031 | − | 4.33031i | 0.167170 | − | 0.167170i | ||||
\(672\) | 12.8855 | + | 7.65242i | 0.497070 | + | 0.295198i | ||||
\(673\) | −29.1649 | − | 29.1649i | −1.12423 | − | 1.12423i | −0.991099 | − | 0.133126i | \(-0.957498\pi\) |
−0.133126 | − | 0.991099i | \(-0.542502\pi\) | |||||||
\(674\) | −8.05965 | + | 4.41875i | −0.310446 | + | 0.170204i | ||||
\(675\) | 16.1262 | + | 8.61964i | 0.620698 | + | 0.331770i | ||||
\(676\) | −0.472628 | − | 22.2300i | −0.0181780 | − | 0.855001i | ||||
\(677\) | 23.6997 | − | 28.8781i | 0.910852 | − | 1.10988i | −0.0827082 | − | 0.996574i | \(-0.526357\pi\) |
0.993560 | − | 0.113303i | \(-0.0361431\pi\) | |||||||
\(678\) | −0.0742180 | − | 6.98246i | −0.00285033 | − | 0.268160i | ||||
\(679\) | −2.57659 | − | 12.9534i | −0.0988805 | − | 0.497106i | ||||
\(680\) | 33.3719 | + | 31.3088i | 1.27976 | + | 1.20064i | ||||
\(681\) | −10.6748 | − | 2.12335i | −0.409060 | − | 0.0813671i | ||||
\(682\) | −5.57187 | + | 3.80928i | −0.213358 | + | 0.145865i | ||||
\(683\) | 12.3113 | − | 40.5849i | 0.471078 | − | 1.55294i | −0.323775 | − | 0.946134i | \(-0.604952\pi\) |
0.794853 | − | 0.606802i | \(-0.207548\pi\) | |||||||
\(684\) | −9.84965 | − | 0.759105i | −0.376611 | − | 0.0290251i | ||||
\(685\) | −3.00121 | − | 3.65698i | −0.114670 | − | 0.139726i | ||||
\(686\) | −51.9224 | − | 61.9139i | −1.98241 | − | 2.36388i | ||||
\(687\) | −2.35482 | + | 5.68503i | −0.0898419 | + | 0.216898i | ||||
\(688\) | −4.71008 | − | 33.2572i | −0.179570 | − | 1.26792i | ||||
\(689\) | 5.70339 | + | 13.7692i | 0.217282 | + | 0.524564i | ||||
\(690\) | −3.83323 | + | 7.35854i | −0.145929 | + | 0.280135i | ||||
\(691\) | −0.924158 | + | 9.38313i | −0.0351566 | + | 0.356951i | 0.961472 | + | 0.274904i | \(0.0886459\pi\) |
−0.996628 | + | 0.0820475i | \(0.973854\pi\) | |||||||
\(692\) | 7.44830 | − | 9.47972i | 0.283142 | − | 0.360365i | ||||
\(693\) | 4.55801 | + | 8.52744i | 0.173145 | + | 0.323931i | ||||
\(694\) | −38.4083 | + | 8.06519i | −1.45796 | + | 0.306150i | ||||
\(695\) | −11.4887 | − | 17.1940i | −0.435789 | − | 0.652205i | ||||
\(696\) | 0.603754 | − | 0.785462i | 0.0228852 | − | 0.0297729i | ||||
\(697\) | 33.4693 | + | 22.3635i | 1.26774 | + | 0.847076i | ||||
\(698\) | −1.90364 | − | 4.46109i | −0.0720540 | − | 0.168855i | ||||
\(699\) | −9.32903 | + | 0.918829i | −0.352856 | + | 0.0347533i | ||||
\(700\) | 60.2054 | + | 10.6505i | 2.27555 | + | 0.402553i | ||||
\(701\) | −8.24589 | + | 2.50136i | −0.311443 | + | 0.0944752i | −0.442137 | − | 0.896948i | \(-0.645779\pi\) |
0.130694 | + | 0.991423i | \(0.458279\pi\) | |||||||
\(702\) | −0.634524 | − | 5.80880i | −0.0239486 | − | 0.219239i | ||||
\(703\) | − | 10.9194i | − | 0.411834i | ||||||
\(704\) | −5.13522 | − | 2.33713i | −0.193541 | − | 0.0880837i | ||||
\(705\) | − | 10.2408i | − | 0.385689i | ||||||
\(706\) | 22.3239 | − | 2.43855i | 0.840170 | − | 0.0917759i | ||||
\(707\) | 91.7450 | − | 27.8306i | 3.45043 | − | 1.04668i | ||||
\(708\) | 6.55687 | − | 4.58571i | 0.246422 | − | 0.172342i | ||||
\(709\) | 44.9459 | − | 4.42679i | 1.68798 | − | 0.166251i | 0.792052 | − | 0.610453i | \(-0.209013\pi\) |
0.895927 | + | 0.444202i | \(0.146513\pi\) | |||||||
\(710\) | 21.1730 | − | 9.03496i | 0.794607 | − | 0.339076i | ||||
\(711\) | −3.42336 | − | 2.28742i | −0.128386 | − | 0.0857848i | ||||
\(712\) | 1.93714 | + | 0.520795i | 0.0725972 | + | 0.0195176i | ||||
\(713\) | −12.5981 | − | 18.8543i | −0.471801 | − | 0.706100i | ||||
\(714\) | −3.74358 | − | 17.8278i | −0.140100 | − | 0.667189i | ||||
\(715\) | −1.51777 | − | 2.83956i | −0.0567616 | − | 0.106193i | ||||
\(716\) | 18.3863 | − | 2.20642i | 0.687127 | − | 0.0824577i | ||||
\(717\) | −0.946627 | + | 9.61127i | −0.0353524 | + | 0.358939i | ||||
\(718\) | 5.14888 | + | 2.68217i | 0.192155 | + | 0.100098i | ||||
\(719\) | 9.66284 | + | 23.3282i | 0.360363 | + | 0.869994i | 0.995247 | + | 0.0973857i | \(0.0310481\pi\) |
−0.634884 | + | 0.772608i | \(0.718952\pi\) | |||||||
\(720\) | −32.6616 | − | 15.7113i | −1.21723 | − | 0.585525i | ||||
\(721\) | −21.4115 | + | 51.6918i | −0.797405 | + | 1.92510i | ||||
\(722\) | 17.0232 | − | 14.2761i | 0.633538 | − | 0.531300i | ||||
\(723\) | 3.35296 | + | 4.08560i | 0.124698 | + | 0.151945i | ||||
\(724\) | −35.7825 | + | 30.6617i | −1.32985 | + | 1.13953i | ||||
\(725\) | 1.17324 | − | 3.86766i | 0.0435731 | − | 0.143641i | ||||
\(726\) | −4.41094 | − | 6.45192i | −0.163705 | − | 0.239453i | ||||
\(727\) | −11.9804 | − | 2.38305i | −0.444329 | − | 0.0883825i | −0.0321449 | − | 0.999483i | \(-0.510234\pi\) |
−0.412184 | + | 0.911101i | \(0.635234\pi\) | |||||||
\(728\) | −8.04866 | − | 17.8035i | −0.298303 | − | 0.659840i | ||||
\(729\) | −2.57069 | − | 12.9238i | −0.0952109 | − | 0.478658i | ||||
\(730\) | 7.67165 | − | 0.0815435i | 0.283941 | − | 0.00301806i | ||||
\(731\) | −25.9014 | + | 31.5609i | −0.957997 | + | 1.16732i | ||||
\(732\) | 6.32298 | − | 6.59768i | 0.233704 | − | 0.243857i | ||||
\(733\) | 24.3012 | + | 12.9893i | 0.897585 | + | 0.479769i | 0.854588 | − | 0.519306i | \(-0.173809\pi\) |
0.0429968 | + | 0.999075i | \(0.486309\pi\) | |||||||
\(734\) | −7.80038 | − | 14.2276i | −0.287917 | − | 0.525152i | ||||
\(735\) | −22.7168 | − | 22.7168i | −0.837921 | − | 0.837921i | ||||
\(736\) | 8.03477 | − | 17.1679i | 0.296166 | − | 0.632819i | ||||
\(737\) | 1.16486 | − | 1.16486i | 0.0429081 | − | 0.0429081i | ||||
\(738\) | −30.6065 | − | 8.93026i | −1.12664 | − | 0.328727i | ||||
\(739\) | −12.7995 | + | 23.9461i | −0.470836 | + | 0.880872i | 0.528651 | + | 0.848839i | \(0.322698\pi\) |
−0.999487 | + | 0.0320329i | \(0.989802\pi\) | |||||||
\(740\) | 14.5407 | − | 37.3297i | 0.534528 | − | 1.37227i | ||||
\(741\) | −1.01230 | − | 0.830776i | −0.0371879 | − | 0.0305193i | ||||
\(742\) | −55.2678 | − | 54.1053i | −2.02895 | − | 1.98627i | ||||
\(743\) | −22.2732 | + | 4.43041i | −0.817124 | + | 0.162536i | −0.585920 | − | 0.810369i | \(-0.699267\pi\) |
−0.231205 | + | 0.972905i | \(0.574267\pi\) | |||||||
\(744\) | −8.19177 | + | 5.85975i | −0.300325 | + | 0.214829i | ||||
\(745\) | −2.79108 | + | 14.0317i | −0.102257 | + | 0.514081i | ||||
\(746\) | 37.7423 | + | 7.09125i | 1.38184 | + | 0.259629i | ||||
\(747\) | −5.52525 | − | 1.67607i | −0.202158 | − | 0.0613241i | ||||
\(748\) | 2.12984 | + | 6.51897i | 0.0778747 | + | 0.238357i | ||||
\(749\) | 20.2925 | − | 16.6536i | 0.741470 | − | 0.608509i | ||||
\(750\) | 2.64386 | + | 0.232052i | 0.0965401 | + | 0.00847335i | ||||
\(751\) | −6.48123 | − | 2.68461i | −0.236503 | − | 0.0979629i | 0.261284 | − | 0.965262i | \(-0.415854\pi\) |
−0.497787 | + | 0.867299i | \(0.665854\pi\) | |||||||
\(752\) | 0.994365 | + | 23.3744i | 0.0362608 | + | 0.852375i | ||||
\(753\) | −0.466190 | + | 0.193102i | −0.0169889 | + | 0.00703703i | ||||
\(754\) | −1.23192 | + | 0.388043i | −0.0448637 | + | 0.0141317i | ||||
\(755\) | −41.1125 | − | 4.04922i | −1.49624 | − | 0.147366i | ||||
\(756\) | 14.8599 | + | 26.4336i | 0.540451 | + | 0.961382i | ||||
\(757\) | 9.59534 | − | 5.12881i | 0.348748 | − | 0.186410i | −0.287716 | − | 0.957716i | \(-0.592896\pi\) |
0.636465 | + | 0.771306i | \(0.280396\pi\) | |||||||
\(758\) | −21.8863 | + | 33.5211i | −0.794947 | + | 1.21754i | ||||
\(759\) | −1.03394 | + | 0.690854i | −0.0375295 | + | 0.0250764i | ||||
\(760\) | −16.1699 | + | 5.47382i | −0.586544 | + | 0.198556i | ||||
\(761\) | −9.24873 | + | 13.8417i | −0.335266 | + | 0.501761i | −0.960350 | − | 0.278796i | \(-0.910065\pi\) |
0.625084 | + | 0.780557i | \(0.285065\pi\) | |||||||
\(762\) | −3.10642 | + | 7.73098i | −0.112534 | + | 0.280064i | ||||
\(763\) | 2.43033 | + | 24.6756i | 0.0879840 | + | 0.893317i | ||||
\(764\) | 4.10028 | − | 0.906605i | 0.148343 | − | 0.0327998i | ||||
\(765\) | 12.7887 | + | 42.1586i | 0.462376 | + | 1.52425i | ||||
\(766\) | −4.73623 | − | 3.80340i | −0.171127 | − | 0.137423i | ||||
\(767\) | −10.4315 | −0.376660 | ||||||||
\(768\) | −7.73529 | − | 3.32384i | −0.279123 | − | 0.119939i | ||||
\(769\) | 0.795075 | 0.0286711 | 0.0143356 | − | 0.999897i | \(-0.495437\pi\) | ||||
0.0143356 | + | 0.999897i | \(0.495437\pi\) | |||||||
\(770\) | 13.0281 | + | 10.4621i | 0.469500 | + | 0.377029i | ||||
\(771\) | −0.898425 | − | 2.96171i | −0.0323560 | − | 0.106663i | ||||
\(772\) | 7.14626 | − | 1.58010i | 0.257200 | − | 0.0568690i | ||||
\(773\) | 4.30443 | + | 43.7036i | 0.154820 | + | 1.57191i | 0.687875 | + | 0.725829i | \(0.258544\pi\) |
−0.533056 | + | 0.846080i | \(0.678956\pi\) | |||||||
\(774\) | 12.0571 | − | 30.0067i | 0.433385 | − | 1.07857i | ||||
\(775\) | −22.8282 | + | 34.1649i | −0.820015 | + | 1.22724i | ||||
\(776\) | 2.37905 | + | 7.02780i | 0.0854028 | + | 0.252283i | ||||
\(777\) | −13.2606 | + | 8.86043i | −0.475720 | + | 0.317866i | ||||
\(778\) | 21.7099 | − | 33.2508i | 0.778337 | − | 1.19210i | ||||
\(779\) | −13.2439 | + | 7.07899i | −0.474511 | + | 0.253631i | ||||
\(780\) | −2.35441 | − | 4.18815i | −0.0843015 | − | 0.149960i | ||||
\(781\) | 3.43346 | + | 0.338166i | 0.122859 | + | 0.0121005i | ||||
\(782\) | −21.9761 | + | 6.92227i | −0.785862 | + | 0.247540i | ||||
\(783\) | 1.85200 | − | 0.767124i | 0.0661851 | − | 0.0274148i | ||||
\(784\) | 54.0564 | + | 49.6449i | 1.93059 | + | 1.77303i | ||||
\(785\) | 48.7713 | + | 20.2017i | 1.74072 | + | 0.721031i | ||||
\(786\) | −10.1186 | − | 0.888109i | −0.360917 | − | 0.0316778i | ||||
\(787\) | −12.7849 | + | 10.4923i | −0.455732 | + | 0.374010i | −0.834071 | − | 0.551658i | \(-0.813996\pi\) |
0.378339 | + | 0.925667i | \(0.376496\pi\) | |||||||
\(788\) | −2.00490 | − | 6.13656i | −0.0714218 | − | 0.218606i | ||||
\(789\) | −10.9270 | − | 3.31466i | −0.389010 | − | 0.118005i | ||||
\(790\) | −6.99249 | − | 1.31379i | −0.248782 | − | 0.0467426i | ||||
\(791\) | 9.21681 | − | 46.3360i | 0.327712 | − | 1.64752i | ||||
\(792\) | −3.16030 | − | 4.41801i | −0.112296 | − | 0.156987i | ||||
\(793\) | −11.6849 | + | 2.32428i | −0.414944 | + | 0.0825375i | ||||
\(794\) | −20.4911 | − | 20.0601i | −0.727202 | − | 0.711906i | ||||
\(795\) | −14.7019 | − | 12.0655i | −0.521423 | − | 0.427921i | ||||
\(796\) | 16.1094 | − | 41.3567i | 0.570981 | − | 1.46585i | ||||
\(797\) | 22.5800 | − | 42.2442i | 0.799824 | − | 1.49637i | −0.0670003 | − | 0.997753i | \(-0.521343\pi\) |
0.866825 | − | 0.498613i | \(-0.166157\pi\) | |||||||
\(798\) | 6.52395 | + | 1.90354i | 0.230945 | + | 0.0673845i | ||||
\(799\) | 20.1087 | − | 20.1087i | 0.711394 | − | 0.711394i | ||||
\(800\) | −34.3127 | − | 1.54617i | −1.21314 | − | 0.0546655i | ||||
\(801\) | 1.36559 | + | 1.36559i | 0.0482507 | + | 0.0482507i | ||||
\(802\) | −10.4779 | − | 19.1114i | −0.369989 | − | 0.674848i | ||||
\(803\) | 1.01406 | + | 0.542027i | 0.0357855 | + | 0.0191277i | ||||
\(804\) | 1.70089 | − | 1.77478i | 0.0599856 | − | 0.0625917i | ||||
\(805\) | −35.6120 | + | 43.3933i | −1.25516 | + | 1.52941i | ||||
\(806\) | 13.1301 | − | 0.139563i | 0.462488 | − | 0.00491588i | ||||
\(807\) | −0.755402 | − | 3.79766i | −0.0265914 | − | 0.133684i | ||||
\(808\) | −49.0777 | + | 22.1872i | −1.72655 | + | 0.780545i | ||||
\(809\) | −6.25043 | − | 1.24329i | −0.219754 | − | 0.0437117i | 0.0839854 | − | 0.996467i | \(-0.473235\pi\) |
−0.303739 | + | 0.952755i | \(0.598235\pi\) | |||||||
\(810\) | −17.4876 | − | 25.5792i | −0.614450 | − | 0.898762i | ||||
\(811\) | 12.8477 | − | 42.3531i | 0.451142 | − | 1.48722i | −0.376742 | − | 0.926318i | \(-0.622956\pi\) |
0.827884 | − | 0.560899i | \(-0.189544\pi\) | |||||||
\(812\) | 5.08971 | − | 4.36132i | 0.178614 | − | 0.153052i | ||||
\(813\) | 6.53158 | + | 7.95875i | 0.229073 | + | 0.279126i | ||||
\(814\) | 4.60051 | − | 3.85810i | 0.161248 | − | 0.135226i | ||||
\(815\) | 3.03988 | − | 7.33893i | 0.106482 | − | 0.257071i | ||||
\(816\) | 3.38425 | + | 9.65800i | 0.118473 | + | 0.338098i | ||||
\(817\) | −5.82893 | − | 14.0723i | −0.203929 | − | 0.492327i | ||||
\(818\) | 1.27375 | + | 0.663523i | 0.0445355 | + | 0.0231995i | ||||
\(819\) | 1.84378 | − | 18.7202i | 0.0644269 | − | 0.654137i | ||||
\(820\) | −54.7027 | + | 6.56452i | −1.91030 | + | 0.229243i | ||||
\(821\) | −16.4302 | − | 30.7387i | −0.573417 | − | 1.07279i | −0.986756 | − | 0.162211i | \(-0.948138\pi\) |
0.413339 | − | 0.910577i | \(-0.364362\pi\) | |||||||
\(822\) | −0.217426 | − | 1.03543i | −0.00758361 | − | 0.0361149i | ||||
\(823\) | 21.7036 | + | 32.4818i | 0.756541 | + | 1.13224i | 0.987243 | + | 0.159220i | \(0.0508978\pi\) |
−0.230702 | + | 0.973024i | \(0.574102\pi\) | |||||||
\(824\) | 8.16071 | − | 30.3544i | 0.284292 | − | 1.05744i | ||||
\(825\) | 1.87354 | + | 1.25186i | 0.0652283 | + | 0.0435841i | ||||
\(826\) | 49.7907 | − | 21.2468i | 1.73244 | − | 0.739270i | ||||
\(827\) | 10.0406 | − | 0.988908i | 0.349144 | − | 0.0343877i | 0.0780748 | − | 0.996948i | \(-0.475123\pi\) |
0.271069 | + | 0.962560i | \(0.412623\pi\) | |||||||
\(828\) | 14.9548 | − | 10.4590i | 0.519716 | − | 0.363476i | ||||
\(829\) | 46.3064 | − | 14.0469i | 1.60829 | − | 0.487868i | 0.646786 | − | 0.762672i | \(-0.276113\pi\) |
0.961500 | + | 0.274804i | \(0.0886128\pi\) | |||||||
\(830\) | −9.91860 | + | 1.08346i | −0.344280 | + | 0.0376074i | ||||
\(831\) | 11.9930i | 0.416033i | ||||||||
\(832\) | 5.78057 | + | 9.33078i | 0.200405 | + | 0.323486i | ||||
\(833\) | − | 89.2129i | − | 3.09104i | ||||||
\(834\) | −0.502194 | − | 4.59737i | −0.0173895 | − | 0.159194i | ||||
\(835\) | −50.2323 | + | 15.2378i | −1.73836 | + | 0.527326i | ||||
\(836\) | −2.51939 | − | 0.445689i | −0.0871350 | − | 0.0154145i | ||||
\(837\) | −20.2815 | + | 1.99755i | −0.701030 | + | 0.0690454i | ||||
\(838\) | −2.25830 | − | 5.29220i | −0.0780115 | − | 0.182816i | ||||
\(839\) | −20.1994 | − | 13.4968i | −0.697361 | − | 0.465962i | 0.155679 | − | 0.987808i | \(-0.450244\pi\) |
−0.853040 | + | 0.521846i | \(0.825244\pi\) | |||||||
\(840\) | 19.7683 | + | 15.1951i | 0.682070 | + | 0.524280i | ||||
\(841\) | 15.8654 | + | 23.7442i | 0.547082 | + | 0.818766i | ||||
\(842\) | 14.7679 | − | 3.10105i | 0.508937 | − | 0.106869i | ||||
\(843\) | 2.87157 | + | 5.37233i | 0.0989022 | + | 0.185033i | ||||
\(844\) | −22.9880 | + | 29.2577i | −0.791280 | + | 1.00709i | ||||
\(845\) | 3.62594 | − | 36.8147i | 0.124736 | − | 1.26647i | ||||
\(846\) | −10.4062 | + | 19.9765i | −0.357772 | + | 0.686806i | ||||
\(847\) | −20.2355 | − | 48.8528i | −0.695300 | − | 1.67860i | ||||
\(848\) | 34.7284 | + | 26.1119i | 1.19258 | + | 0.896685i | ||||
\(849\) | 1.22643 | − | 2.96085i | 0.0420908 | − | 0.101616i | ||||
\(850\) | 26.8277 | + | 31.9902i | 0.920184 | + | 1.09725i | ||||
\(851\) | 12.7967 | + | 15.5929i | 0.438666 | + | 0.534516i | ||||
\(852\) | 5.13306 | + | 0.395601i | 0.175856 | + | 0.0135531i | ||||
\(853\) | −6.42788 | + | 21.1899i | −0.220086 | + | 0.725528i | 0.775472 | + | 0.631382i | \(0.217512\pi\) |
−0.995558 | + | 0.0941457i | \(0.969988\pi\) | |||||||
\(854\) | 51.0394 | − | 34.8938i | 1.74653 | − | 1.19404i | ||||
\(855\) | −16.1198 | − | 3.20643i | −0.551287 | − | 0.109658i | ||||
\(856\) | −10.0903 | + | 10.7552i | −0.344879 | + | 0.367605i | ||||
\(857\) | 6.17540 | + | 31.0458i | 0.210947 | + | 1.06050i | 0.930563 | + | 0.366132i | \(0.119318\pi\) |
−0.719616 | + | 0.694373i | \(0.755682\pi\) | |||||||
\(858\) | −0.00765335 | − | 0.720031i | −0.000261281 | − | 0.0245815i | ||||
\(859\) | −35.2256 | + | 42.9225i | −1.20188 | + | 1.46450i | −0.353239 | + | 0.935533i | \(0.614920\pi\) |
−0.848643 | + | 0.528965i | \(0.822580\pi\) | |||||||
\(860\) | −1.18785 | − | 55.8702i | −0.0405052 | − | 1.90516i | ||||
\(861\) | 19.3433 | + | 10.3392i | 0.659218 | + | 0.352359i | ||||
\(862\) | 10.9724 | − | 6.01567i | 0.373721 | − | 0.204894i | ||||
\(863\) | 27.6535 | + | 27.6535i | 0.941336 | + | 0.941336i | 0.998372 | − | 0.0570361i | \(-0.0181650\pi\) |
−0.0570361 | + | 0.998372i | \(0.518165\pi\) | |||||||
\(864\) | −10.2035 | − | 13.6418i | −0.347131 | − | 0.464105i | ||||
\(865\) | 14.1828 | − | 14.1828i | 0.482228 | − | 0.482228i | ||||
\(866\) | −12.9119 | + | 44.2527i | −0.438764 | + | 1.50377i | ||||
\(867\) | 1.64710 | − | 3.08151i | 0.0559385 | − | 0.104654i | ||||
\(868\) | −62.3872 | + | 27.4094i | −2.11756 | + | 0.930336i | ||||
\(869\) | −0.824275 | − | 0.676465i | −0.0279616 | − | 0.0229475i | ||||
\(870\) | 1.15302 | − | 1.17780i | 0.0390911 | − | 0.0399311i | ||||
\(871\) | −3.14326 | + | 0.625233i | −0.106505 | + | 0.0211852i | ||||
\(872\) | −3.15166 | − | 13.5682i | −0.106729 | − | 0.459476i | ||||
\(873\) | −1.39359 | + | 7.00604i | −0.0471658 | + | 0.237119i | ||||
\(874\) | 1.58722 | − | 8.44780i | 0.0536886 | − | 0.285751i | ||||
\(875\) | 17.1831 | + | 5.21243i | 0.580894 | + | 0.176212i | ||||
\(876\) | 1.53006 | + | 0.776478i | 0.0516958 | + | 0.0262348i | ||||
\(877\) | 30.7221 | − | 25.2130i | 1.03741 | − | 0.851383i | 0.0483432 | − | 0.998831i | \(-0.484606\pi\) |
0.989070 | + | 0.147448i | \(0.0471059\pi\) | |||||||
\(878\) | −0.759830 | + | 8.65703i | −0.0256430 | + | 0.292161i | ||||
\(879\) | −1.88985 | − | 0.782800i | −0.0637430 | − | 0.0264032i | ||||
\(880\) | −8.01941 | − | 4.87857i | −0.270334 | − | 0.164457i | ||||
\(881\) | −26.4880 | + | 10.9717i | −0.892402 | + | 0.369645i | −0.781294 | − | 0.624163i | \(-0.785440\pi\) |
−0.111108 | + | 0.993808i | \(0.535440\pi\) | |||||||
\(882\) | 21.2295 | + | 67.3970i | 0.714834 | + | 2.26937i | ||||
\(883\) | 23.3517 | + | 2.29995i | 0.785849 | + | 0.0773993i | 0.482978 | − | 0.875632i | \(-0.339555\pi\) |
0.302870 | + | 0.953032i | \(0.402055\pi\) | |||||||
\(884\) | 3.60071 | − | 12.8469i | 0.121105 | − | 0.432089i | ||||
\(885\) | 11.7401 | − | 6.27522i | 0.394639 | − | 0.210939i | ||||
\(886\) | 22.2234 | + | 14.5099i | 0.746610 | + | 0.487471i | ||||
\(887\) | 12.8641 | − | 8.59554i | 0.431935 | − | 0.288610i | −0.320534 | − | 0.947237i | \(-0.603862\pi\) |
0.752470 | + | 0.658627i | \(0.228862\pi\) | |||||||
\(888\) | 6.74106 | − | 5.90176i | 0.226215 | − | 0.198050i | ||||
\(889\) | −31.3174 | + | 46.8699i | −1.05035 | + | 1.57196i | ||||
\(890\) | 3.09665 | + | 1.24428i | 0.103800 | + | 0.0417085i | ||||
\(891\) | −0.455181 | − | 4.62153i | −0.0152491 | − | 0.154827i | ||||
\(892\) | 2.45581 | − | 3.85010i | 0.0822267 | − | 0.128911i | ||||
\(893\) | 3.07969 | + | 10.1524i | 0.103058 | + | 0.339737i | ||||
\(894\) | −2.00338 | + | 2.49473i | −0.0670031 | + | 0.0834363i | ||||
\(895\) | 30.8091 | 1.02983 | ||||||||
\(896\) | −46.5961 | − | 32.7630i | −1.55667 | − | 1.09454i | ||||
\(897\) | 2.41917 | 0.0807736 | ||||||||
\(898\) | −7.44383 | + | 9.26951i | −0.248404 | + | 0.309327i | ||||
\(899\) | 1.30762 | + | 4.31064i | 0.0436115 | + | 0.143768i | ||||
\(900\) | −27.8799 | − | 17.7834i | −0.929329 | − | 0.592778i | ||||
\(901\) | −5.17674 | − | 52.5603i | −0.172462 | − | 1.75104i | ||||
\(902\) | −7.66185 | − | 3.07865i | −0.255112 | − | 0.102508i | ||||
\(903\) | −12.3596 | + | 18.4974i | −0.411301 | + | 0.615556i | ||||
\(904\) | −1.75806 | + | 26.4825i | −0.0584720 | + | 0.880794i | ||||
\(905\) | −65.1861 | + | 43.5559i | −2.16686 | + | 1.44785i | ||||
\(906\) | −7.73607 | − | 5.05097i | −0.257014 | − | 0.167807i | ||||
\(907\) | 34.2148 | − | 18.2882i | 1.13608 | − | 0.607249i | 0.207448 | − | 0.978246i | \(-0.433484\pi\) |
0.928634 | + | 0.370997i | \(0.120984\pi\) | |||||||
\(908\) | 39.8332 | + | 11.1644i | 1.32191 | + | 0.370503i | ||||
\(909\) | −51.6049 | − | 5.08264i | −1.71163 | − | 0.168580i | ||||
\(910\) | −9.76613 | − | 31.0044i | −0.323744 | − | 1.02779i | ||||
\(911\) | −29.6525 | + | 12.2825i | −0.982431 | + | 0.406936i | −0.815325 | − | 0.579003i | \(-0.803442\pi\) |
−0.167105 | + | 0.985939i | \(0.553442\pi\) | |||||||
\(912\) | −3.77278 | − | 0.585005i | −0.124929 | − | 0.0193715i | ||||
\(913\) | −1.38154 | − | 0.572252i | −0.0457222 | − | 0.0189388i | ||||
\(914\) | −3.99361 | + | 45.5006i | −0.132097 | + | 1.50503i | ||||
\(915\) | 11.7526 | − | 9.64509i | 0.388528 | − | 0.318857i | ||||
\(916\) | 10.5842 | − | 20.8563i | 0.349712 | − | 0.689111i | ||||
\(917\) | −65.7630 | − | 19.9490i | −2.17169 | − | 0.658774i | ||||
\(918\) | −3.82370 | + | 20.3512i | −0.126201 | + | 0.671690i | ||||
\(919\) | −6.00870 | + | 30.2078i | −0.198209 | + | 0.996462i | 0.745707 | + | 0.666274i | \(0.232112\pi\) |
−0.943915 | + | 0.330188i | \(0.892888\pi\) | |||||||
\(920\) | 16.6756 | − | 26.7664i | 0.549778 | − | 0.882463i | ||||
\(921\) | 7.20487 | − | 1.43314i | 0.237409 | − | 0.0472235i | ||||
\(922\) | −20.9611 | + | 21.4114i | −0.690316 | + | 0.705148i | ||||
\(923\) | −5.18838 | − | 4.25800i | −0.170778 | − | 0.140154i | ||||
\(924\) | 1.50308 | + | 3.42120i | 0.0494478 | + | 0.112549i | ||||
\(925\) | 17.2304 | − | 32.2359i | 0.566533 | − | 1.05991i | ||||
\(926\) | 15.6240 | − | 53.5478i | 0.513437 | − | 1.75969i | ||||
\(927\) | 21.3984 | − | 21.3984i | 0.702815 | − | 0.702815i | ||||
\(928\) | −2.51739 | + | 2.80026i | −0.0826374 | + | 0.0919230i | ||||
\(929\) | 9.26916 | + | 9.26916i | 0.304111 | + | 0.304111i | 0.842620 | − | 0.538509i | \(-0.181012\pi\) |
−0.538509 | + | 0.842620i | \(0.681012\pi\) | |||||||
\(930\) | −14.6933 | + | 8.05567i | −0.481812 | + | 0.264156i | ||||
\(931\) | 29.3523 | + | 15.6891i | 0.961983 | + | 0.514191i | ||||
\(932\) | 35.6217 | − | 0.757346i | 1.16683 | − | 0.0248077i | ||||
\(933\) | −8.37722 | + | 10.2077i | −0.274258 | + | 0.334184i | ||||
\(934\) | −0.379281 | − | 35.6829i | −0.0124104 | − | 1.16758i | ||||
\(935\) | 2.22596 | + | 11.1907i | 0.0727967 | + | 0.365974i | ||||
\(936\) | 0.336905 | + | 10.5622i | 0.0110121 | + | 0.345237i | ||||
\(937\) | 42.7257 | + | 8.49867i | 1.39579 | + | 0.277640i | 0.834968 | − | 0.550298i | \(-0.185486\pi\) |
0.560820 | + | 0.827938i | \(0.310486\pi\) | |||||||
\(938\) | 13.7296 | − | 9.38646i | 0.448289 | − | 0.306479i | ||||
\(939\) | −0.729079 | + | 2.40345i | −0.0237926 | + | 0.0784337i | ||||
\(940\) | −2.99094 | + | 38.8085i | −0.0975536 | + | 1.26579i | ||||
\(941\) | −1.27388 | − | 1.55223i | −0.0415274 | − | 0.0506013i | 0.751833 | − | 0.659354i | \(-0.229170\pi\) |
−0.793360 | + | 0.608753i | \(0.791670\pi\) | |||||||
\(942\) | 7.58624 | + | 9.04607i | 0.247173 | + | 0.294737i | ||||
\(943\) | 10.6161 | − | 25.6295i | 0.345708 | − | 0.834612i | ||||
\(944\) | −26.1873 | + | 15.4630i | −0.852323 | + | 0.503278i | ||||
\(945\) | 19.3067 | + | 46.6106i | 0.628048 | + | 1.51624i | ||||
\(946\) | 3.86935 | − | 7.42789i | 0.125804 | − | 0.241502i | ||||
\(947\) | −1.12702 | + | 11.4428i | −0.0366232 | + | 0.371841i | 0.959352 | + | 0.282212i | \(0.0910682\pi\) |
−0.995975 | + | 0.0896293i | \(0.971432\pi\) | |||||||
\(948\) | −1.25118 | − | 0.983063i | −0.0406365 | − | 0.0319284i | ||||
\(949\) | −1.05448 | − | 1.97280i | −0.0342300 | − | 0.0640398i | ||||
\(950\) | −15.2432 | + | 3.20085i | −0.494555 | + | 0.103849i | ||||
\(951\) | −1.49294 | − | 2.23434i | −0.0484119 | − | 0.0724535i | ||||
\(952\) | 8.97987 | + | 68.6537i | 0.291039 | + | 2.22508i | ||||
\(953\) | 10.8458 | + | 7.24692i | 0.351329 | + | 0.234751i | 0.718694 | − | 0.695326i | \(-0.244740\pi\) |
−0.367365 | + | 0.930077i | \(0.619740\pi\) | |||||||
\(954\) | 16.4183 | + | 38.4755i | 0.531562 | + | 1.24569i | ||||
\(955\) | 6.95283 | − | 0.684794i | 0.224988 | − | 0.0221594i | ||||
\(956\) | 6.39443 | − | 36.1464i | 0.206811 | − | 1.16906i | ||||
\(957\) | 0.236388 | − | 0.0717074i | 0.00764132 | − | 0.00231797i | ||||
\(958\) | 2.14877 | + | 19.6711i | 0.0694236 | + | 0.635544i | ||||
\(959\) | − | 7.15820i | − | 0.231150i | ||||||
\(960\) | −12.1188 | − | 7.02391i | −0.391132 | − | 0.226696i | ||||
\(961\) | − | 14.7959i | − | 0.477286i | ||||||
\(962\) | −11.6116 | + | 1.26840i | −0.374374 | + | 0.0408947i | ||||
\(963\) | −13.5870 | + | 4.12157i | −0.437835 | + | 0.132816i | ||||
\(964\) | −11.5132 | − | 16.4621i | −0.370814 | − | 0.530208i | ||||
\(965\) | 12.1179 | − | 1.19351i | 0.390089 | − | 0.0384204i | ||||
\(966\) | −11.5470 | + | 4.92733i | −0.371517 | + | 0.158534i | ||||
\(967\) | −45.2137 | − | 30.2108i | −1.45397 | − | 0.971514i | −0.996613 | − | 0.0822320i | \(-0.973795\pi\) |
−0.457360 | − | 0.889282i | \(-0.651205\pi\) | |||||||
\(968\) | 14.8314 | + | 25.7385i | 0.476698 | + | 0.827267i | ||||
\(969\) | 2.57825 | + | 3.85863i | 0.0828254 | + | 0.123957i | ||||
\(970\) | 2.53675 | + | 12.0806i | 0.0814501 | + | 0.387884i | ||||
\(971\) | 13.7540 | + | 25.7319i | 0.441387 | + | 0.825777i | 0.999993 | − | 0.00365591i | \(-0.00116372\pi\) |
−0.558606 | + | 0.829433i | \(0.688664\pi\) | |||||||
\(972\) | −2.97856 | − | 24.8206i | −0.0955374 | − | 0.796122i | ||||
\(973\) | 3.06690 | − | 31.1387i | 0.0983201 | − | 0.998261i | ||||
\(974\) | 4.82563 | + | 2.51378i | 0.154623 | + | 0.0805467i | ||||
\(975\) | −1.67755 | − | 4.04996i | −0.0537245 | − | 0.129702i | ||||
\(976\) | −25.8885 | + | 23.1559i | −0.828671 | + | 0.741202i | ||||
\(977\) | 9.09060 | − | 21.9466i | 0.290834 | − | 0.702135i | −0.709162 | − | 0.705046i | \(-0.750926\pi\) |
0.999996 | + | 0.00291043i | \(0.000926420\pi\) | |||||||
\(978\) | 1.36122 | − | 1.14155i | 0.0435270 | − | 0.0365028i | ||||
\(979\) | 0.317303 | + | 0.386635i | 0.0101410 | + | 0.0123569i | ||||
\(980\) | 79.4529 | + | 92.7223i | 2.53803 | + | 2.96191i | ||||
\(981\) | 3.89294 | − | 12.8333i | 0.124292 | − | 0.409736i | ||||
\(982\) | 30.7065 | + | 44.9146i | 0.979883 | + | 1.43328i | ||||
\(983\) | −18.3364 | − | 3.64734i | −0.584840 | − | 0.116332i | −0.106203 | − | 0.994345i | \(-0.533869\pi\) |
−0.478638 | + | 0.878013i | \(0.658869\pi\) | |||||||
\(984\) | −11.5283 | − | 4.34997i | −0.367508 | − | 0.138672i | ||||
\(985\) | −2.09539 | − | 10.5342i | −0.0667645 | − | 0.335648i | ||||
\(986\) | 4.57678 | − | 0.0486475i | 0.145754 | − | 0.00154925i | ||||
\(987\) | 9.83009 | − | 11.9780i | 0.312895 | − | 0.381264i | ||||
\(988\) | 3.59359 | + | 3.44397i | 0.114327 | + | 0.109567i | ||||
\(989\) | 24.8153 | + | 13.2641i | 0.789081 | + | 0.421772i | ||||
\(990\) | −4.34461 | − | 7.92443i | −0.138081 | − | 0.251855i | ||||
\(991\) | −32.4448 | − | 32.4448i | −1.03064 | − | 1.03064i | −0.999515 | − | 0.0311265i | \(-0.990091\pi\) |
−0.0311265 | − | 0.999515i | \(-0.509909\pi\) | |||||||
\(992\) | 32.7550 | − | 19.8136i | 1.03997 | − | 0.629083i | ||||
\(993\) | −10.0514 | + | 10.0514i | −0.318972 | + | 0.318972i | ||||
\(994\) | 33.4374 | + | 9.75624i | 1.06057 | + | 0.309449i | ||||
\(995\) | 34.8087 | − | 65.1224i | 1.10351 | − | 2.06452i | ||||
\(996\) | −2.07925 | − | 0.809914i | −0.0658835 | − | 0.0256631i | ||||
\(997\) | 27.5601 | + | 22.6180i | 0.872837 | + | 0.716319i | 0.960037 | − | 0.279872i | \(-0.0902920\pi\) |
−0.0872003 | + | 0.996191i | \(0.527792\pi\) | |||||||
\(998\) | 17.6293 | + | 17.2585i | 0.558046 | + | 0.546307i | ||||
\(999\) | 17.7806 | − | 3.53677i | 0.562552 | − | 0.111899i |
(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 | 128.2.k.a.13.4 | ✓ | 240 | |
4.3 | odd | 2 | 512.2.k.a.401.8 | 240 | |||
128.59 | odd | 32 | 512.2.k.a.369.8 | 240 | |||
128.69 | even | 32 | inner | 128.2.k.a.69.4 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.2.k.a.13.4 | ✓ | 240 | 1.1 | even | 1 | trivial | |
128.2.k.a.69.4 | yes | 240 | 128.69 | even | 32 | inner | |
512.2.k.a.369.8 | 240 | 128.59 | odd | 32 | |||
512.2.k.a.401.8 | 240 | 4.3 | odd | 2 |