Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(7,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.m (of order \(22\), degree \(10\), 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: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 103.22 | ||
Character | \(\chi\) | \(=\) | 276.103 |
Dual form | 276.2.m.a.67.22 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(e\left(\frac{9}{22}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28339 | − | 0.594058i | 0.907495 | − | 0.420063i | ||||
\(3\) | −0.989821 | − | 0.142315i | −0.571474 | − | 0.0821655i | ||||
\(4\) | 1.29419 | − | 1.52482i | 0.647095 | − | 0.762410i | ||||
\(5\) | −0.412480 | − | 1.40478i | −0.184467 | − | 0.628235i | −0.998852 | − | 0.0479106i | \(-0.984744\pi\) |
0.814385 | − | 0.580325i | \(-0.197074\pi\) | |||||||
\(6\) | −1.35487 | + | 0.405366i | −0.553124 | + | 0.165490i | ||||
\(7\) | −1.74599 | − | 2.01498i | −0.659924 | − | 0.761593i | 0.322841 | − | 0.946453i | \(-0.395362\pi\) |
−0.982765 | + | 0.184861i | \(0.940817\pi\) | |||||||
\(8\) | 0.755120 | − | 2.72576i | 0.266975 | − | 0.963703i | ||||
\(9\) | 0.959493 | + | 0.281733i | 0.319831 | + | 0.0939109i | ||||
\(10\) | −1.36389 | − | 1.55784i | −0.431301 | − | 0.492633i | ||||
\(11\) | 0.913693 | + | 0.587195i | 0.275489 | + | 0.177046i | 0.671089 | − | 0.741377i | \(-0.265827\pi\) |
−0.395600 | + | 0.918423i | \(0.629463\pi\) | |||||||
\(12\) | −1.49802 | + | 1.32512i | −0.432441 | + | 0.382528i | ||||
\(13\) | −0.741987 | + | 0.856298i | −0.205790 | + | 0.237494i | −0.849257 | − | 0.527979i | \(-0.822950\pi\) |
0.643467 | + | 0.765474i | \(0.277495\pi\) | |||||||
\(14\) | −3.43781 | − | 1.54879i | −0.918794 | − | 0.413932i | ||||
\(15\) | 0.208361 | + | 1.44918i | 0.0537985 | + | 0.374177i | ||||
\(16\) | −0.650148 | − | 3.94681i | −0.162537 | − | 0.986702i | ||||
\(17\) | 0.484098 | − | 0.221080i | 0.117411 | − | 0.0536199i | −0.355843 | − | 0.934546i | \(-0.615806\pi\) |
0.473255 | + | 0.880926i | \(0.343079\pi\) | |||||||
\(18\) | 1.39877 | − | 0.208422i | 0.329693 | − | 0.0491254i | ||||
\(19\) | 1.39620 | − | 3.05725i | 0.320310 | − | 0.701382i | −0.679158 | − | 0.733992i | \(-0.737655\pi\) |
0.999468 | + | 0.0326104i | \(0.0103821\pi\) | |||||||
\(20\) | −2.67586 | − | 1.18909i | −0.598340 | − | 0.265889i | ||||
\(21\) | 1.44146 | + | 2.24296i | 0.314552 | + | 0.489453i | ||||
\(22\) | 1.52145 | + | 0.210814i | 0.324375 | + | 0.0449457i | ||||
\(23\) | 4.14255 | + | 2.41646i | 0.863781 | + | 0.503868i | ||||
\(24\) | −1.13535 | + | 2.59056i | −0.231753 | + | 0.528795i | ||||
\(25\) | 2.40301 | − | 1.54432i | 0.480602 | − | 0.308864i | ||||
\(26\) | −0.443568 | + | 1.53975i | −0.0869909 | + | 0.301970i | ||||
\(27\) | −0.909632 | − | 0.415415i | −0.175059 | − | 0.0799467i | ||||
\(28\) | −5.33213 | + | 0.0545541i | −1.00768 | + | 0.0103097i | ||||
\(29\) | 3.62124 | + | 7.92942i | 0.672448 | + | 1.47246i | 0.870452 | + | 0.492254i | \(0.163827\pi\) |
−0.198004 | + | 0.980201i | \(0.563446\pi\) | |||||||
\(30\) | 1.12831 | + | 1.73609i | 0.206000 | + | 0.316965i | ||||
\(31\) | −1.03441 | + | 0.148725i | −0.185785 | + | 0.0267118i | −0.234579 | − | 0.972097i | \(-0.575371\pi\) |
0.0487943 | + | 0.998809i | \(0.484462\pi\) | |||||||
\(32\) | −3.17903 | − | 4.67908i | −0.561978 | − | 0.827152i | ||||
\(33\) | −0.820826 | − | 0.711250i | −0.142887 | − | 0.123813i | ||||
\(34\) | 0.489953 | − | 0.571315i | 0.0840263 | − | 0.0979798i | ||||
\(35\) | −2.11042 | + | 3.28387i | −0.356726 | + | 0.555076i | ||||
\(36\) | 1.67136 | − | 1.09844i | 0.278559 | − | 0.183073i | ||||
\(37\) | −2.79158 | + | 9.50726i | −0.458933 | + | 1.56298i | 0.327217 | + | 0.944949i | \(0.393889\pi\) |
−0.786151 | + | 0.618035i | \(0.787929\pi\) | |||||||
\(38\) | −0.0243142 | − | 4.75308i | −0.00394428 | − | 0.771051i | ||||
\(39\) | 0.856298 | − | 0.741987i | 0.137117 | − | 0.118813i | ||||
\(40\) | −4.14056 | + | 0.0635471i | −0.654681 | + | 0.0100477i | ||||
\(41\) | 1.71224 | − | 0.502759i | 0.267407 | − | 0.0785177i | −0.145280 | − | 0.989391i | \(-0.546408\pi\) |
0.412687 | + | 0.910873i | \(0.364590\pi\) | |||||||
\(42\) | 3.18241 | + | 2.02228i | 0.491056 | + | 0.312045i | ||||
\(43\) | 0.818634 | − | 5.69372i | 0.124840 | − | 0.868285i | −0.827112 | − | 0.562038i | \(-0.810018\pi\) |
0.951952 | − | 0.306247i | \(-0.0990733\pi\) | |||||||
\(44\) | 2.07786 | − | 0.633275i | 0.313249 | − | 0.0954698i | ||||
\(45\) | − | 1.46408i | − | 0.218253i | ||||||
\(46\) | 6.75203 | + | 0.640355i | 0.995533 | + | 0.0944152i | ||||
\(47\) | 6.12796i | 0.893855i | 0.894570 | + | 0.446928i | \(0.147482\pi\) | ||||
−0.894570 | + | 0.446928i | \(0.852518\pi\) | |||||||
\(48\) | 0.0818409 | + | 3.99916i | 0.0118127 | + | 0.577229i | ||||
\(49\) | −0.0154638 | + | 0.107553i | −0.00220911 | + | 0.0153647i | ||||
\(50\) | 2.16659 | − | 3.40949i | 0.306401 | − | 0.482175i | ||||
\(51\) | −0.510634 | + | 0.149936i | −0.0715031 | + | 0.0209952i | ||||
\(52\) | 0.345429 | + | 2.23961i | 0.0479024 | + | 0.310578i | ||||
\(53\) | −0.804361 | + | 0.696983i | −0.110487 | + | 0.0957379i | −0.708353 | − | 0.705859i | \(-0.750561\pi\) |
0.597865 | + | 0.801597i | \(0.296016\pi\) | |||||||
\(54\) | −1.41420 | + | 0.00723426i | −0.192448 | + | 0.000984458i | ||||
\(55\) | 0.447998 | − | 1.52574i | 0.0604080 | − | 0.205731i | ||||
\(56\) | −6.81081 | + | 3.23761i | −0.910133 | + | 0.432644i | ||||
\(57\) | −1.81708 | + | 2.82743i | −0.240678 | + | 0.374503i | ||||
\(58\) | 9.35801 | + | 8.02532i | 1.22877 | + | 1.05378i | ||||
\(59\) | 6.08956 | + | 5.27664i | 0.792794 | + | 0.686960i | 0.953949 | − | 0.299970i | \(-0.0969765\pi\) |
−0.161155 | + | 0.986929i | \(0.551522\pi\) | |||||||
\(60\) | 2.47940 | + | 1.55780i | 0.320089 | + | 0.201111i | ||||
\(61\) | −5.19380 | + | 0.746755i | −0.664998 | + | 0.0956122i | −0.466544 | − | 0.884498i | \(-0.654501\pi\) |
−0.198454 | + | 0.980110i | \(0.563592\pi\) | |||||||
\(62\) | −1.23920 | + | 0.805371i | −0.157378 | + | 0.102282i | ||||
\(63\) | −1.10758 | − | 2.42527i | −0.139542 | − | 0.305555i | ||||
\(64\) | −6.85959 | − | 4.11656i | −0.857448 | − | 0.514570i | ||||
\(65\) | 1.50896 | + | 0.689120i | 0.187164 | + | 0.0854748i | ||||
\(66\) | −1.47597 | − | 0.425194i | −0.181679 | − | 0.0523377i | ||||
\(67\) | −2.68040 | + | 1.72259i | −0.327463 | + | 0.210448i | −0.694034 | − | 0.719943i | \(-0.744168\pi\) |
0.366571 | + | 0.930390i | \(0.380532\pi\) | |||||||
\(68\) | 0.289407 | − | 1.02428i | 0.0350958 | − | 0.124212i | ||||
\(69\) | −3.75648 | − | 2.98141i | −0.452228 | − | 0.358920i | ||||
\(70\) | −0.757680 | + | 5.46821i | −0.0905601 | + | 0.653576i | ||||
\(71\) | 5.64990 | + | 8.79141i | 0.670519 | + | 1.04335i | 0.995232 | + | 0.0975359i | \(0.0310961\pi\) |
−0.324713 | + | 0.945813i | \(0.605268\pi\) | |||||||
\(72\) | 1.49247 | − | 2.40261i | 0.175889 | − | 0.283150i | ||||
\(73\) | 1.57074 | − | 3.43945i | 0.183842 | − | 0.402557i | −0.795163 | − | 0.606396i | \(-0.792615\pi\) |
0.979004 | + | 0.203839i | \(0.0653419\pi\) | |||||||
\(74\) | 2.06517 | + | 13.8599i | 0.240071 | + | 1.61118i | ||||
\(75\) | −2.59833 | + | 1.18662i | −0.300029 | + | 0.137019i | ||||
\(76\) | −2.85481 | − | 6.08562i | −0.327469 | − | 0.698068i | ||||
\(77\) | −0.412114 | − | 2.86631i | −0.0469647 | − | 0.326647i | ||||
\(78\) | 0.658183 | − | 1.46095i | 0.0745245 | − | 0.165420i | ||||
\(79\) | 10.5946 | − | 12.2269i | 1.19199 | − | 1.37563i | 0.282835 | − | 0.959169i | \(-0.408725\pi\) |
0.909154 | − | 0.416460i | \(-0.136729\pi\) | |||||||
\(80\) | −5.27622 | + | 2.54129i | −0.589899 | + | 0.284125i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 1.89880 | − | 1.66241i | 0.209688 | − | 0.183582i | ||||
\(83\) | −15.1022 | − | 4.43442i | −1.65769 | − | 0.486740i | −0.686912 | − | 0.726740i | \(-0.741034\pi\) |
−0.970773 | + | 0.240000i | \(0.922853\pi\) | |||||||
\(84\) | 5.28563 | + | 0.704843i | 0.576709 | + | 0.0769047i | ||||
\(85\) | −0.510249 | − | 0.588859i | −0.0553443 | − | 0.0638707i | ||||
\(86\) | −2.33178 | − | 7.79359i | −0.251442 | − | 0.840405i | ||||
\(87\) | −2.45591 | − | 8.36406i | −0.263301 | − | 0.896722i | ||||
\(88\) | 2.29050 | − | 2.04711i | 0.244168 | − | 0.218222i | ||||
\(89\) | 9.94241 | + | 1.42950i | 1.05389 | + | 0.151527i | 0.647418 | − | 0.762135i | \(-0.275849\pi\) |
0.406475 | + | 0.913662i | \(0.366758\pi\) | |||||||
\(90\) | −0.869751 | − | 1.87899i | −0.0916798 | − | 0.198063i | ||||
\(91\) | 3.02093 | 0.316680 | ||||||||
\(92\) | 9.04591 | − | 3.18928i | 0.943102 | − | 0.332505i | ||||
\(93\) | 1.04504 | 0.108366 | ||||||||
\(94\) | 3.64037 | + | 7.86458i | 0.375475 | + | 0.811169i | ||||
\(95\) | −4.87066 | − | 0.700296i | −0.499720 | − | 0.0718488i | ||||
\(96\) | 2.48077 | + | 5.08387i | 0.253193 | + | 0.518871i | ||||
\(97\) | −2.79863 | − | 9.53125i | −0.284157 | − | 0.967752i | −0.970626 | − | 0.240592i | \(-0.922658\pi\) |
0.686469 | − | 0.727159i | \(-0.259160\pi\) | |||||||
\(98\) | 0.0440466 | + | 0.147219i | 0.00444938 | + | 0.0148714i | ||||
\(99\) | 0.711250 | + | 0.820826i | 0.0714833 | + | 0.0824961i | ||||
\(100\) | 0.755139 | − | 5.66280i | 0.0755139 | − | 0.566280i | ||||
\(101\) | −8.44997 | − | 2.48114i | −0.840803 | − | 0.246882i | −0.167152 | − | 0.985931i | \(-0.553457\pi\) |
−0.673652 | + | 0.739049i | \(0.735275\pi\) | |||||||
\(102\) | −0.566273 | + | 0.495773i | −0.0560694 | + | 0.0490888i | ||||
\(103\) | −7.97998 | − | 5.12842i | −0.786290 | − | 0.505318i | 0.0848254 | − | 0.996396i | \(-0.472967\pi\) |
−0.871116 | + | 0.491078i | \(0.836603\pi\) | |||||||
\(104\) | 1.77378 | + | 2.66909i | 0.173933 | + | 0.261726i | ||||
\(105\) | 2.55628 | − | 2.95010i | 0.249467 | − | 0.287901i | ||||
\(106\) | −0.618262 | + | 1.37234i | −0.0600509 | + | 0.133293i | ||||
\(107\) | 1.90193 | + | 13.2282i | 0.183866 | + | 1.27882i | 0.847514 | + | 0.530774i | \(0.178099\pi\) |
−0.663647 | + | 0.748046i | \(0.730992\pi\) | |||||||
\(108\) | −1.81067 | + | 0.849399i | −0.174232 | + | 0.0817334i | ||||
\(109\) | 7.00388 | − | 3.19856i | 0.670850 | − | 0.306367i | −0.0507156 | − | 0.998713i | \(-0.516150\pi\) |
0.721565 | + | 0.692346i | \(0.243423\pi\) | |||||||
\(110\) | −0.331422 | − | 2.22426i | −0.0315999 | − | 0.212075i | ||||
\(111\) | 4.11619 | − | 9.01321i | 0.390692 | − | 0.855496i | ||||
\(112\) | −6.81761 | + | 8.20115i | −0.644203 | + | 0.774935i | ||||
\(113\) | −4.25603 | − | 6.62251i | −0.400374 | − | 0.622994i | 0.581272 | − | 0.813710i | \(-0.302555\pi\) |
−0.981645 | + | 0.190716i | \(0.938919\pi\) | |||||||
\(114\) | −0.652367 | + | 4.70816i | −0.0610998 | + | 0.440959i | ||||
\(115\) | 1.68588 | − | 6.81610i | 0.157209 | − | 0.635605i | ||||
\(116\) | 16.7775 | + | 4.74042i | 1.55775 | + | 0.440137i | ||||
\(117\) | −0.953178 | + | 0.612570i | −0.0881213 | + | 0.0566321i | ||||
\(118\) | 10.9499 | + | 3.15444i | 1.00802 | + | 0.290389i | ||||
\(119\) | −1.29071 | − | 0.589446i | −0.118319 | − | 0.0540344i | ||||
\(120\) | 4.10746 | + | 0.526363i | 0.374958 | + | 0.0480502i | ||||
\(121\) | −4.07953 | − | 8.93292i | −0.370866 | − | 0.812084i | ||||
\(122\) | −6.22206 | + | 4.04380i | −0.563319 | + | 0.366108i | ||||
\(123\) | −1.76636 | + | 0.253964i | −0.159267 | + | 0.0228992i | ||||
\(124\) | −1.11194 | + | 1.76976i | −0.0998551 | + | 0.158929i | ||||
\(125\) | −8.69302 | − | 7.53254i | −0.777527 | − | 0.673731i | ||||
\(126\) | −2.86221 | − | 2.45460i | −0.254986 | − | 0.218673i | ||||
\(127\) | −8.64585 | + | 13.4532i | −0.767195 | + | 1.19378i | 0.209218 | + | 0.977869i | \(0.432908\pi\) |
−0.976413 | + | 0.215910i | \(0.930728\pi\) | |||||||
\(128\) | −11.2490 | − | 1.20817i | −0.994282 | − | 0.106788i | ||||
\(129\) | −1.62060 | + | 5.51927i | −0.142686 | + | 0.485944i | ||||
\(130\) | 2.34597 | − | 0.0120007i | 0.205755 | − | 0.00105253i | ||||
\(131\) | 1.27506 | − | 1.10485i | 0.111403 | − | 0.0965311i | −0.597378 | − | 0.801960i | \(-0.703791\pi\) |
0.708781 | + | 0.705429i | \(0.249245\pi\) | |||||||
\(132\) | −2.14683 | + | 0.331119i | −0.186858 | + | 0.0288203i | ||||
\(133\) | −8.59808 | + | 2.52462i | −0.745548 | + | 0.218913i | ||||
\(134\) | −2.41668 | + | 3.80307i | −0.208770 | + | 0.328535i | ||||
\(135\) | −0.208361 | + | 1.44918i | −0.0179328 | + | 0.124726i | ||||
\(136\) | −0.237060 | − | 1.48648i | −0.0203278 | − | 0.127465i | ||||
\(137\) | − | 6.36031i | − | 0.543398i | −0.962382 | − | 0.271699i | \(-0.912415\pi\) | ||
0.962382 | − | 0.271699i | \(-0.0875855\pi\) | |||||||
\(138\) | −6.59217 | − | 1.59475i | −0.561163 | − | 0.135754i | ||||
\(139\) | 20.3836i | 1.72892i | 0.502705 | + | 0.864458i | \(0.332338\pi\) | ||||
−0.502705 | + | 0.864458i | \(0.667662\pi\) | |||||||
\(140\) | 2.27603 | + | 7.46796i | 0.192360 | + | 0.631158i | ||||
\(141\) | 0.872100 | − | 6.06559i | 0.0734441 | − | 0.510815i | ||||
\(142\) | 12.4736 | + | 7.92646i | 1.04677 | + | 0.665174i | ||||
\(143\) | −1.18076 | + | 0.346703i | −0.0987402 | + | 0.0289927i | ||||
\(144\) | 0.488132 | − | 3.97010i | 0.0406777 | − | 0.330842i | ||||
\(145\) | 9.64537 | − | 8.35776i | 0.801005 | − | 0.694074i | ||||
\(146\) | −0.0273538 | − | 5.34727i | −0.00226381 | − | 0.442544i | ||||
\(147\) | 0.0306128 | − | 0.104257i | 0.00252490 | − | 0.00859901i | ||||
\(148\) | 10.8840 | + | 16.5609i | 0.894661 | + | 1.36129i | ||||
\(149\) | −5.63221 | + | 8.76389i | −0.461409 | + | 0.717966i | −0.991519 | − | 0.129963i | \(-0.958514\pi\) |
0.530110 | + | 0.847929i | \(0.322151\pi\) | |||||||
\(150\) | −2.62975 | + | 3.06645i | −0.214719 | + | 0.250375i | ||||
\(151\) | −3.39440 | − | 2.94126i | −0.276232 | − | 0.239356i | 0.505716 | − | 0.862700i | \(-0.331228\pi\) |
−0.781948 | + | 0.623344i | \(0.785774\pi\) | |||||||
\(152\) | −7.27905 | − | 6.11431i | −0.590409 | − | 0.495936i | ||||
\(153\) | 0.526775 | − | 0.0757387i | 0.0425872 | − | 0.00612311i | ||||
\(154\) | −2.23166 | − | 3.43379i | −0.179832 | − | 0.276702i | ||||
\(155\) | 0.635598 | + | 1.39176i | 0.0510524 | + | 0.111789i | ||||
\(156\) | −0.0231836 | − | 2.26597i | −0.00185617 | − | 0.181423i | ||||
\(157\) | −11.0472 | − | 5.04507i | −0.881659 | − | 0.402640i | −0.0774568 | − | 0.996996i | \(-0.524680\pi\) |
−0.804203 | + | 0.594355i | \(0.797407\pi\) | |||||||
\(158\) | 6.33360 | − | 21.9857i | 0.503874 | − | 1.74909i | ||||
\(159\) | 0.895364 | − | 0.575416i | 0.0710070 | − | 0.0456334i | ||||
\(160\) | −5.26178 | + | 6.39585i | −0.415980 | + | 0.505637i | ||||
\(161\) | −2.36373 | − | 12.5663i | −0.186288 | − | 0.990363i | ||||
\(162\) | 1.40083 | + | 0.194100i | 0.110060 | + | 0.0152500i | ||||
\(163\) | 4.55378 | + | 7.08581i | 0.356679 | + | 0.555004i | 0.972506 | − | 0.232878i | \(-0.0748143\pi\) |
−0.615827 | + | 0.787882i | \(0.711178\pi\) | |||||||
\(164\) | 1.44934 | − | 3.26152i | 0.113175 | − | 0.254682i | ||||
\(165\) | −0.660573 | + | 1.44645i | −0.0514256 | + | 0.112606i | ||||
\(166\) | −22.0164 | + | 3.28051i | −1.70880 | + | 0.254617i | ||||
\(167\) | 18.7307 | − | 8.55404i | 1.44943 | − | 0.661932i | 0.473654 | − | 0.880711i | \(-0.342935\pi\) |
0.975774 | + | 0.218779i | \(0.0702074\pi\) | |||||||
\(168\) | 7.20225 | − | 2.23538i | 0.555665 | − | 0.172463i | ||||
\(169\) | 1.66739 | + | 11.5970i | 0.128261 | + | 0.892073i | ||||
\(170\) | −1.00467 | − | 0.452619i | −0.0770544 | − | 0.0347143i | ||||
\(171\) | 2.20097 | − | 2.54006i | 0.168313 | − | 0.194243i | ||||
\(172\) | −7.62243 | − | 8.61702i | −0.581205 | − | 0.657042i | ||||
\(173\) | −4.55020 | − | 2.92424i | −0.345945 | − | 0.222326i | 0.356117 | − | 0.934442i | \(-0.384101\pi\) |
−0.702062 | + | 0.712116i | \(0.747737\pi\) | |||||||
\(174\) | −8.12064 | − | 9.27541i | −0.615624 | − | 0.703167i | ||||
\(175\) | −7.30742 | − | 2.14565i | −0.552389 | − | 0.162196i | ||||
\(176\) | 1.72351 | − | 3.98793i | 0.129914 | − | 0.300602i | ||||
\(177\) | −5.27664 | − | 6.08956i | −0.396616 | − | 0.457720i | ||||
\(178\) | 13.6092 | − | 4.07176i | 1.02005 | − | 0.305191i | ||||
\(179\) | −0.963457 | − | 3.28123i | −0.0720122 | − | 0.245251i | 0.915619 | − | 0.402048i | \(-0.131701\pi\) |
−0.987631 | + | 0.156797i | \(0.949883\pi\) | |||||||
\(180\) | −2.23246 | − | 1.89480i | −0.166398 | − | 0.141230i | ||||
\(181\) | 1.46233 | + | 0.210251i | 0.108694 | + | 0.0156279i | 0.196447 | − | 0.980514i | \(-0.437060\pi\) |
−0.0877531 | + | 0.996142i | \(0.527969\pi\) | |||||||
\(182\) | 3.87704 | − | 1.79461i | 0.287385 | − | 0.133025i | ||||
\(183\) | 5.24721 | 0.387885 | ||||||||
\(184\) | 9.71483 | − | 9.46689i | 0.716187 | − | 0.697908i | ||||
\(185\) | 14.5071 | 1.06658 | ||||||||
\(186\) | 1.34120 | − | 0.620817i | 0.0983416 | − | 0.0455205i | ||||
\(187\) | 0.572134 | + | 0.0822605i | 0.0418386 | + | 0.00601548i | ||||
\(188\) | 9.34404 | + | 7.93074i | 0.681484 | + | 0.578409i | ||||
\(189\) | 0.751157 | + | 2.55821i | 0.0546387 | + | 0.186082i | ||||
\(190\) | −6.66699 | + | 1.99470i | −0.483674 | + | 0.144711i | ||||
\(191\) | 0.902533 | + | 1.04158i | 0.0653050 | + | 0.0753659i | 0.787462 | − | 0.616363i | \(-0.211395\pi\) |
−0.722157 | + | 0.691729i | \(0.756849\pi\) | |||||||
\(192\) | 6.20392 | + | 5.05088i | 0.447729 | + | 0.364516i | ||||
\(193\) | 18.2020 | + | 5.34458i | 1.31021 | + | 0.384711i | 0.860949 | − | 0.508691i | \(-0.169870\pi\) |
0.449257 | + | 0.893402i | \(0.351689\pi\) | |||||||
\(194\) | −9.25385 | − | 10.5698i | −0.664388 | − | 0.758866i | ||||
\(195\) | −1.39553 | − | 0.896854i | −0.0999361 | − | 0.0642250i | ||||
\(196\) | 0.143986 | + | 0.162773i | 0.0102847 | + | 0.0116267i | ||||
\(197\) | 4.27890 | − | 4.93812i | 0.304859 | − | 0.351826i | −0.582562 | − | 0.812787i | \(-0.697950\pi\) |
0.887421 | + | 0.460960i | \(0.152495\pi\) | |||||||
\(198\) | 1.40043 | + | 0.630917i | 0.0995243 | + | 0.0448374i | ||||
\(199\) | 1.85527 | + | 12.9037i | 0.131517 | + | 0.914720i | 0.943579 | + | 0.331149i | \(0.107436\pi\) |
−0.812062 | + | 0.583572i | \(0.801655\pi\) | |||||||
\(200\) | −2.39489 | − | 7.71618i | −0.169344 | − | 0.545616i | ||||
\(201\) | 2.89827 | − | 1.32359i | 0.204428 | − | 0.0933591i | ||||
\(202\) | −12.3186 | + | 1.83551i | −0.866731 | + | 0.129146i | ||||
\(203\) | 9.65498 | − | 21.1415i | 0.677647 | − | 1.48384i | ||||
\(204\) | −0.432232 | + | 0.972670i | −0.0302623 | + | 0.0681005i | ||||
\(205\) | −1.41253 | − | 2.19794i | −0.0986552 | − | 0.153510i | ||||
\(206\) | −13.2880 | − | 1.84120i | −0.925820 | − | 0.128282i | ||||
\(207\) | 3.29395 | + | 3.48567i | 0.228945 | + | 0.242271i | ||||
\(208\) | 3.86205 | + | 2.37176i | 0.267785 | + | 0.164452i | ||||
\(209\) | 3.07090 | − | 1.97355i | 0.212419 | − | 0.136513i | ||||
\(210\) | 1.52817 | − | 5.30472i | 0.105454 | − | 0.366060i | ||||
\(211\) | −18.1296 | − | 8.27950i | −1.24809 | − | 0.569984i | −0.321805 | − | 0.946806i | \(-0.604290\pi\) |
−0.926286 | + | 0.376822i | \(0.877017\pi\) | |||||||
\(212\) | 0.0217774 | + | 2.12853i | 0.00149568 | + | 0.146188i | ||||
\(213\) | −4.34124 | − | 9.50599i | −0.297457 | − | 0.651340i | ||||
\(214\) | 10.2993 | + | 15.8471i | 0.704042 | + | 1.08329i | ||||
\(215\) | −8.33608 | + | 1.19855i | −0.568516 | + | 0.0817403i | ||||
\(216\) | −1.81921 | + | 2.16575i | −0.123781 | + | 0.147361i | ||||
\(217\) | 2.10575 | + | 1.82464i | 0.142947 | + | 0.123865i | ||||
\(218\) | 7.08859 | − | 8.26572i | 0.480100 | − | 0.559825i | ||||
\(219\) | −2.04424 | + | 3.18090i | −0.138137 | + | 0.214945i | ||||
\(220\) | −1.74668 | − | 2.65771i | −0.117761 | − | 0.179183i | ||||
\(221\) | −0.169884 | + | 0.578571i | −0.0114276 | + | 0.0389189i | ||||
\(222\) | −0.0716816 | − | 14.0127i | −0.00481095 | − | 0.940473i | ||||
\(223\) | −21.6700 | + | 18.7772i | −1.45113 | + | 1.25741i | −0.542344 | + | 0.840157i | \(0.682463\pi\) |
−0.908789 | + | 0.417256i | \(0.862992\pi\) | |||||||
\(224\) | −3.87770 | + | 14.5753i | −0.259090 | + | 0.973856i | ||||
\(225\) | 2.74075 | − | 0.804758i | 0.182717 | − | 0.0536505i | ||||
\(226\) | −9.39631 | − | 5.97095i | −0.625034 | − | 0.397182i | ||||
\(227\) | 1.79798 | − | 12.5052i | 0.119336 | − | 0.830002i | −0.838953 | − | 0.544203i | \(-0.816832\pi\) |
0.958290 | − | 0.285799i | \(-0.0922589\pi\) | |||||||
\(228\) | 1.95968 | + | 6.42996i | 0.129783 | + | 0.425834i | ||||
\(229\) | 24.5439i | 1.62191i | 0.585110 | + | 0.810954i | \(0.301051\pi\) | ||||
−0.585110 | + | 0.810954i | \(0.698949\pi\) | |||||||
\(230\) | −1.88552 | − | 9.74923i | −0.124328 | − | 0.642846i | ||||
\(231\) | 2.89579i | 0.190529i | ||||||||
\(232\) | 24.3482 | − | 3.88299i | 1.59854 | − | 0.254931i | ||||
\(233\) | −3.41907 | + | 23.7801i | −0.223991 | + | 1.55789i | 0.498736 | + | 0.866754i | \(0.333798\pi\) |
−0.722726 | + | 0.691134i | \(0.757111\pi\) | |||||||
\(234\) | −0.859398 | + | 1.35241i | −0.0561806 | + | 0.0884099i | ||||
\(235\) | 8.60842 | − | 2.52766i | 0.561552 | − | 0.164886i | ||||
\(236\) | 15.9270 | − | 2.45652i | 1.03676 | − | 0.159906i | ||||
\(237\) | −12.2269 | + | 10.5946i | −0.794219 | + | 0.688195i | ||||
\(238\) | −2.00665 | + | 0.0102649i | −0.130072 | + | 0.000665376i | ||||
\(239\) | 4.40771 | − | 15.0113i | 0.285111 | − | 0.971000i | −0.685041 | − | 0.728504i | \(-0.740216\pi\) |
0.970153 | − | 0.242495i | \(-0.0779659\pi\) | |||||||
\(240\) | 5.58417 | − | 1.76454i | 0.360457 | − | 0.113901i | ||||
\(241\) | 5.22486 | − | 8.13004i | 0.336563 | − | 0.523702i | −0.631182 | − | 0.775635i | \(-0.717430\pi\) |
0.967745 | + | 0.251933i | \(0.0810662\pi\) | |||||||
\(242\) | −10.5423 | − | 9.04096i | −0.677685 | − | 0.581175i | ||||
\(243\) | −0.755750 | − | 0.654861i | −0.0484814 | − | 0.0420093i | ||||
\(244\) | −5.58309 | + | 8.88605i | −0.357421 | + | 0.568871i | ||||
\(245\) | 0.157466 | − | 0.0226403i | 0.0100602 | − | 0.00144643i | ||||
\(246\) | −2.11606 | + | 1.37526i | −0.134915 | + | 0.0876832i | ||||
\(247\) | 1.58196 | + | 3.46400i | 0.100658 | + | 0.220409i | ||||
\(248\) | −0.375712 | + | 2.93186i | −0.0238577 | + | 0.186173i | ||||
\(249\) | 14.3174 | + | 6.53855i | 0.907330 | + | 0.414364i | ||||
\(250\) | −15.6313 | − | 4.50304i | −0.988611 | − | 0.284797i | ||||
\(251\) | −15.6234 | + | 10.0405i | −0.986137 | + | 0.633752i | −0.931112 | − | 0.364733i | \(-0.881160\pi\) |
−0.0550252 | + | 0.998485i | \(0.517524\pi\) | |||||||
\(252\) | −5.13152 | − | 1.44989i | −0.323255 | − | 0.0913346i | ||||
\(253\) | 2.36608 | + | 4.64039i | 0.148754 | + | 0.291739i | ||||
\(254\) | −3.10402 | + | 22.4019i | −0.194764 | + | 1.40562i | ||||
\(255\) | 0.421252 | + | 0.655482i | 0.0263798 | + | 0.0410478i | ||||
\(256\) | −15.1546 | + | 5.13202i | −0.947163 | + | 0.320751i | ||||
\(257\) | −2.40948 | + | 5.27603i | −0.150299 | + | 0.329110i | −0.969774 | − | 0.244006i | \(-0.921538\pi\) |
0.819474 | + | 0.573116i | \(0.194266\pi\) | |||||||
\(258\) | 1.19890 | + | 8.04611i | 0.0746401 | + | 0.500929i | ||||
\(259\) | 24.0311 | − | 10.9746i | 1.49322 | − | 0.681930i | ||||
\(260\) | 3.00367 | − | 1.40904i | 0.186280 | − | 0.0873852i | ||||
\(261\) | 1.24058 | + | 8.62844i | 0.0767901 | + | 0.534087i | ||||
\(262\) | 0.980061 | − | 2.17542i | 0.0605484 | − | 0.134398i | ||||
\(263\) | 11.6082 | − | 13.3966i | 0.715792 | − | 0.826067i | −0.275003 | − | 0.961443i | \(-0.588679\pi\) |
0.990794 | + | 0.135376i | \(0.0432242\pi\) | |||||||
\(264\) | −2.55852 | + | 1.70030i | −0.157466 | + | 0.104646i | ||||
\(265\) | 1.31089 | + | 0.842456i | 0.0805272 | + | 0.0517517i | ||||
\(266\) | −9.53493 | + | 8.34784i | −0.584624 | + | 0.511839i | ||||
\(267\) | −9.63777 | − | 2.82991i | −0.589822 | − | 0.173187i | ||||
\(268\) | −0.842308 | + | 6.31648i | −0.0514522 | + | 0.385840i | ||||
\(269\) | 19.3948 | + | 22.3828i | 1.18252 | + | 1.36470i | 0.916153 | + | 0.400829i | \(0.131278\pi\) |
0.266367 | + | 0.963872i | \(0.414177\pi\) | |||||||
\(270\) | 0.593489 | + | 1.98364i | 0.0361186 | + | 0.120721i | ||||
\(271\) | 3.24449 | + | 11.0497i | 0.197089 | + | 0.671222i | 0.997428 | + | 0.0716751i | \(0.0228345\pi\) |
−0.800339 | + | 0.599547i | \(0.795347\pi\) | |||||||
\(272\) | −1.18730 | − | 1.76691i | −0.0719905 | − | 0.107135i | ||||
\(273\) | −2.99018 | − | 0.429923i | −0.180974 | − | 0.0260202i | ||||
\(274\) | −3.77839 | − | 8.16277i | −0.228261 | − | 0.493131i | ||||
\(275\) | 3.10243 | 0.187083 | ||||||||
\(276\) | −9.40772 | + | 1.86945i | −0.566278 | + | 0.112527i | ||||
\(277\) | 2.27663 | 0.136789 | 0.0683946 | − | 0.997658i | \(-0.478212\pi\) | ||||
0.0683946 | + | 0.997658i | \(0.478212\pi\) | |||||||
\(278\) | 12.1091 | + | 26.1602i | 0.726253 | + | 1.56898i | ||||
\(279\) | −1.03441 | − | 0.148725i | −0.0619283 | − | 0.00890395i | ||||
\(280\) | 7.35745 | + | 8.23222i | 0.439692 | + | 0.491969i | ||||
\(281\) | 3.20346 | + | 10.9100i | 0.191102 | + | 0.650834i | 0.998175 | + | 0.0603829i | \(0.0192322\pi\) |
−0.807073 | + | 0.590452i | \(0.798950\pi\) | |||||||
\(282\) | −2.48407 | − | 8.30261i | −0.147924 | − | 0.494413i | ||||
\(283\) | 13.3492 | + | 15.4058i | 0.793528 | + | 0.915780i | 0.998008 | − | 0.0630906i | \(-0.0200957\pi\) |
−0.204480 | + | 0.978871i | \(0.565550\pi\) | |||||||
\(284\) | 20.7174 | + | 2.76268i | 1.22935 | + | 0.163935i | ||||
\(285\) | 4.72142 | + | 1.38634i | 0.279673 | + | 0.0821194i | ||||
\(286\) | −1.30942 | + | 1.14640i | −0.0774275 | + | 0.0677879i | ||||
\(287\) | −4.00261 | − | 2.57232i | −0.236267 | − | 0.151839i | ||||
\(288\) | −1.73201 | − | 5.38518i | −0.102060 | − | 0.317325i | ||||
\(289\) | −10.9472 | + | 12.6337i | −0.643950 | + | 0.743158i | ||||
\(290\) | 7.41379 | − | 16.4562i | 0.435353 | − | 0.966341i | ||||
\(291\) | 1.41370 | + | 9.83252i | 0.0828727 | + | 0.576392i | ||||
\(292\) | −3.21170 | − | 6.84640i | −0.187950 | − | 0.400655i | ||||
\(293\) | −26.6451 | + | 12.1684i | −1.55662 | + | 0.710886i | −0.993323 | − | 0.115366i | \(-0.963196\pi\) |
−0.563300 | + | 0.826252i | \(0.690469\pi\) | |||||||
\(294\) | −0.0226469 | − | 0.151989i | −0.00132079 | − | 0.00886418i | ||||
\(295\) | 4.90068 | − | 10.7310i | 0.285328 | − | 0.624782i | ||||
\(296\) | 23.8066 | + | 14.7883i | 1.38373 | + | 0.859554i | ||||
\(297\) | −0.587195 | − | 0.913693i | −0.0340725 | − | 0.0530178i | ||||
\(298\) | −2.02207 | + | 14.5934i | −0.117135 | + | 0.845371i | ||||
\(299\) | −5.14293 | + | 1.75427i | −0.297423 | + | 0.101452i | ||||
\(300\) | −1.55335 | + | 5.49769i | −0.0896829 | + | 0.317409i | ||||
\(301\) | −12.9021 | + | 8.29167i | −0.743664 | + | 0.477924i | ||||
\(302\) | −6.10362 | − | 1.75832i | −0.351224 | − | 0.101180i | ||||
\(303\) | 8.01086 | + | 3.65844i | 0.460212 | + | 0.210172i | ||||
\(304\) | −12.9741 | − | 3.52287i | −0.744118 | − | 0.202051i | ||||
\(305\) | 3.19136 | + | 6.98811i | 0.182737 | + | 0.400138i | ||||
\(306\) | 0.631065 | − | 0.410137i | 0.0360756 | − | 0.0234460i | ||||
\(307\) | 9.89949 | − | 1.42333i | 0.564994 | − | 0.0812339i | 0.146101 | − | 0.989270i | \(-0.453327\pi\) |
0.418893 | + | 0.908036i | \(0.362418\pi\) | |||||||
\(308\) | −4.90397 | − | 3.08115i | −0.279429 | − | 0.175565i | ||||
\(309\) | 7.16890 | + | 6.21189i | 0.407825 | + | 0.353382i | ||||
\(310\) | 1.64251 | + | 1.40860i | 0.0932883 | + | 0.0800030i | ||||
\(311\) | −4.23027 | + | 6.58244i | −0.239877 | + | 0.373256i | −0.940230 | − | 0.340541i | \(-0.889390\pi\) |
0.700353 | + | 0.713797i | \(0.253026\pi\) | |||||||
\(312\) | −1.37587 | − | 2.89436i | −0.0778935 | − | 0.163861i | ||||
\(313\) | −1.88806 | + | 6.43015i | −0.106720 | + | 0.363453i | −0.995486 | − | 0.0949066i | \(-0.969745\pi\) |
0.888767 | + | 0.458360i | \(0.151563\pi\) | |||||||
\(314\) | −17.1749 | + | 0.0878575i | −0.969236 | + | 0.00495809i | ||||
\(315\) | −2.95010 | + | 2.55628i | −0.166220 | + | 0.144030i | ||||
\(316\) | −4.93229 | − | 31.9788i | −0.277463 | − | 1.79895i | ||||
\(317\) | −3.19991 | + | 0.939580i | −0.179725 | + | 0.0527721i | −0.370357 | − | 0.928890i | \(-0.620765\pi\) |
0.190632 | + | 0.981662i | \(0.438946\pi\) | |||||||
\(318\) | 0.807273 | − | 1.27038i | 0.0452696 | − | 0.0712395i | ||||
\(319\) | −1.34741 | + | 9.37142i | −0.0754403 | + | 0.524699i | ||||
\(320\) | −2.95341 | + | 11.3342i | −0.165101 | + | 0.633600i | ||||
\(321\) | − | 13.3642i | − | 0.745919i | ||||||
\(322\) | −10.4987 | − | 14.7233i | −0.585070 | − | 0.820497i | ||||
\(323\) | − | 1.78868i | − | 0.0995250i | ||||||
\(324\) | 1.91312 | − | 0.583068i | 0.106284 | − | 0.0323927i | ||||
\(325\) | −0.460602 | + | 3.20356i | −0.0255496 | + | 0.177701i | ||||
\(326\) | 10.0537 | + | 6.38867i | 0.556821 | + | 0.353835i | ||||
\(327\) | −7.38779 | + | 2.16925i | −0.408546 | + | 0.119960i | ||||
\(328\) | −0.0774555 | − | 5.04680i | −0.00427677 | − | 0.278663i | ||||
\(329\) | 12.3478 | − | 10.6994i | 0.680754 | − | 0.589876i | ||||
\(330\) | 0.0115036 | + | 2.24879i | 0.000633251 | + | 0.123792i | ||||
\(331\) | 9.75383 | − | 33.2185i | 0.536119 | − | 1.82585i | −0.0272227 | − | 0.999629i | \(-0.508666\pi\) |
0.563342 | − | 0.826224i | \(-0.309515\pi\) | |||||||
\(332\) | −26.3068 | + | 17.2892i | −1.44377 | + | 0.948868i | ||||
\(333\) | −5.35701 | + | 8.33567i | −0.293562 | + | 0.456792i | ||||
\(334\) | 18.9573 | − | 22.1053i | 1.03730 | − | 1.20955i | ||||
\(335\) | 3.52546 | + | 3.05483i | 0.192617 | + | 0.166903i | ||||
\(336\) | 7.91536 | − | 7.14742i | 0.431818 | − | 0.389924i | ||||
\(337\) | 12.9244 | − | 1.85825i | 0.704037 | − | 0.101225i | 0.219008 | − | 0.975723i | \(-0.429718\pi\) |
0.485029 | + | 0.874498i | \(0.338809\pi\) | |||||||
\(338\) | 9.02918 | + | 13.8929i | 0.491123 | + | 0.755675i | ||||
\(339\) | 3.27023 | + | 7.16080i | 0.177614 | + | 0.388921i | ||||
\(340\) | −1.55826 | + | 0.0159429i | −0.0845087 | + | 0.000864624i | ||||
\(341\) | −1.03246 | − | 0.471509i | −0.0559109 | − | 0.0255336i | ||||
\(342\) | 1.31577 | − | 4.56739i | 0.0711486 | − | 0.246976i | ||||
\(343\) | −15.4570 | + | 9.93359i | −0.834598 | + | 0.536364i | ||||
\(344\) | −14.9016 | − | 6.53085i | −0.803439 | − | 0.352120i | ||||
\(345\) | −2.63875 | + | 6.50680i | −0.142065 | + | 0.350314i | ||||
\(346\) | −7.57686 | − | 1.04986i | −0.407334 | − | 0.0564406i | ||||
\(347\) | −7.34440 | − | 11.4281i | −0.394268 | − | 0.613493i | 0.586201 | − | 0.810165i | \(-0.300623\pi\) |
−0.980469 | + | 0.196673i | \(0.936986\pi\) | |||||||
\(348\) | −15.9321 | − | 7.07986i | −0.854050 | − | 0.379520i | ||||
\(349\) | 7.78838 | − | 17.0542i | 0.416903 | − | 0.912889i | −0.578371 | − | 0.815774i | \(-0.696311\pi\) |
0.995273 | − | 0.0971152i | \(-0.0309615\pi\) | |||||||
\(350\) | −10.6529 | + | 1.58732i | −0.569423 | + | 0.0848459i | ||||
\(351\) | 1.03065 | − | 0.470684i | 0.0550122 | − | 0.0251232i | ||||
\(352\) | −0.157127 | − | 6.14195i | −0.00837491 | − | 0.327367i | ||||
\(353\) | −3.60278 | − | 25.0579i | −0.191757 | − | 1.33370i | −0.827356 | − | 0.561678i | \(-0.810156\pi\) |
0.635599 | − | 0.772019i | \(-0.280753\pi\) | |||||||
\(354\) | −10.3895 | − | 4.68067i | −0.552198 | − | 0.248775i | ||||
\(355\) | 10.0195 | − | 11.5631i | 0.531780 | − | 0.613707i | ||||
\(356\) | 15.0471 | − | 13.3103i | 0.797495 | − | 0.705446i | ||||
\(357\) | 1.19368 | + | 0.767133i | 0.0631764 | + | 0.0406010i | ||||
\(358\) | −3.18574 | − | 3.63876i | −0.168371 | − | 0.192314i | ||||
\(359\) | −32.9356 | − | 9.67077i | −1.73828 | − | 0.510404i | −0.749784 | − | 0.661683i | \(-0.769843\pi\) |
−0.988491 | + | 0.151279i | \(0.951661\pi\) | |||||||
\(360\) | −3.99075 | − | 1.10556i | −0.210331 | − | 0.0582681i | ||||
\(361\) | 5.04494 | + | 5.82217i | 0.265523 | + | 0.306430i | ||||
\(362\) | 2.00164 | − | 0.598874i | 0.105204 | − | 0.0314761i | ||||
\(363\) | 2.76672 | + | 9.42257i | 0.145215 | + | 0.494557i | ||||
\(364\) | 3.90966 | − | 4.60638i | 0.204922 | − | 0.241440i | ||||
\(365\) | −5.47956 | − | 0.787842i | −0.286813 | − | 0.0412375i | ||||
\(366\) | 6.73422 | − | 3.11715i | 0.352003 | − | 0.162936i | ||||
\(367\) | 16.9535 | 0.884963 | 0.442482 | − | 0.896778i | \(-0.354098\pi\) | ||||
0.442482 | + | 0.896778i | \(0.354098\pi\) | |||||||
\(368\) | 6.84405 | − | 17.9209i | 0.356771 | − | 0.934192i | ||||
\(369\) | 1.78452 | 0.0928986 | ||||||||
\(370\) | 18.6182 | − | 8.61804i | 0.967916 | − | 0.448030i | ||||
\(371\) | 2.80882 | + | 0.403847i | 0.145827 | + | 0.0209667i | ||||
\(372\) | 1.35248 | − | 1.59350i | 0.0701231 | − | 0.0826193i | ||||
\(373\) | 2.33805 | + | 7.96267i | 0.121060 | + | 0.412291i | 0.997616 | − | 0.0690077i | \(-0.0219833\pi\) |
−0.876556 | + | 0.481299i | \(0.840165\pi\) | |||||||
\(374\) | 0.783140 | − | 0.234309i | 0.0404952 | − | 0.0121158i | ||||
\(375\) | 7.53254 | + | 8.69302i | 0.388979 | + | 0.448905i | ||||
\(376\) | 16.7034 | + | 4.62735i | 0.861411 | + | 0.238637i | ||||
\(377\) | −9.47686 | − | 2.78266i | −0.488083 | − | 0.143314i | ||||
\(378\) | 2.48375 | + | 2.83695i | 0.127750 | + | 0.145917i | ||||
\(379\) | −6.28131 | − | 4.03676i | −0.322649 | − | 0.207354i | 0.369282 | − | 0.929317i | \(-0.379604\pi\) |
−0.691932 | + | 0.721963i | \(0.743240\pi\) | |||||||
\(380\) | −7.37138 | + | 6.52057i | −0.378144 | + | 0.334498i | ||||
\(381\) | 10.4724 | − | 12.0858i | 0.536519 | − | 0.619176i | ||||
\(382\) | 1.77706 | + | 0.800596i | 0.0909224 | + | 0.0409620i | ||||
\(383\) | −0.632087 | − | 4.39626i | −0.0322982 | − | 0.224639i | 0.967279 | − | 0.253715i | \(-0.0816525\pi\) |
−0.999577 | + | 0.0290763i | \(0.990743\pi\) | |||||||
\(384\) | 10.9626 | + | 2.79677i | 0.559432 | + | 0.142722i | ||||
\(385\) | −3.85654 | + | 1.76123i | −0.196548 | + | 0.0897603i | ||||
\(386\) | 26.5353 | − | 3.95384i | 1.35061 | − | 0.201245i | ||||
\(387\) | 2.38958 | − | 5.23245i | 0.121469 | − | 0.265980i | ||||
\(388\) | −18.1554 | − | 8.06784i | −0.921700 | − | 0.409582i | ||||
\(389\) | 12.2804 | + | 19.1086i | 0.622639 | + | 0.968846i | 0.999100 | + | 0.0424134i | \(0.0135046\pi\) |
−0.376461 | + | 0.926433i | \(0.622859\pi\) | |||||||
\(390\) | −2.32380 | − | 0.321988i | −0.117670 | − | 0.0163045i | ||||
\(391\) | 2.53963 | + | 0.253970i | 0.128435 | + | 0.0128438i | ||||
\(392\) | 0.281487 | + | 0.123366i | 0.0142172 | + | 0.00623093i | ||||
\(393\) | −1.41932 | + | 0.912143i | −0.0715953 | + | 0.0460115i | ||||
\(394\) | 2.55798 | − | 8.87946i | 0.128869 | − | 0.447341i | ||||
\(395\) | −21.5461 | − | 9.83976i | −1.08410 | − | 0.495092i | ||||
\(396\) | 2.17210 | − | 0.0222232i | 0.109152 | − | 0.00111676i | ||||
\(397\) | −12.5478 | − | 27.4758i | −0.629755 | − | 1.37897i | −0.908207 | − | 0.418522i | \(-0.862548\pi\) |
0.278451 | − | 0.960450i | \(-0.410179\pi\) | |||||||
\(398\) | 10.0466 | + | 15.4584i | 0.503591 | + | 0.774859i | ||||
\(399\) | 8.86985 | − | 1.27529i | 0.444048 | − | 0.0638445i | ||||
\(400\) | −7.65745 | − | 8.48018i | −0.382872 | − | 0.424009i | ||||
\(401\) | −12.5596 | − | 10.8829i | −0.627194 | − | 0.543467i | 0.282225 | − | 0.959348i | \(-0.408928\pi\) |
−0.909419 | + | 0.415881i | \(0.863473\pi\) | |||||||
\(402\) | 2.93332 | − | 3.42043i | 0.146301 | − | 0.170595i | ||||
\(403\) | 0.640163 | − | 0.996113i | 0.0318888 | − | 0.0496199i | ||||
\(404\) | −14.7191 | + | 9.67362i | −0.732305 | + | 0.481281i | ||||
\(405\) | 0.412480 | − | 1.40478i | 0.0204963 | − | 0.0698039i | ||||
\(406\) | −0.168137 | − | 32.8684i | −0.00834450 | − | 1.63123i | ||||
\(407\) | −8.13326 | + | 7.04751i | −0.403151 | + | 0.349332i | ||||
\(408\) | 0.0230993 | + | 1.50509i | 0.00114358 | + | 0.0745129i | ||||
\(409\) | 34.5140 | − | 10.1342i | 1.70661 | − | 0.501106i | 0.724477 | − | 0.689299i | \(-0.242081\pi\) |
0.982132 | + | 0.188194i | \(0.0602632\pi\) | |||||||
\(410\) | −3.11853 | − | 1.98169i | −0.154013 | − | 0.0978686i | ||||
\(411\) | −0.905166 | + | 6.29557i | −0.0446486 | + | 0.310538i | ||||
\(412\) | −18.1475 | + | 5.53088i | −0.894064 | + | 0.272487i | ||||
\(413\) | − | 21.4834i | − | 1.05713i | ||||||
\(414\) | 6.29812 | + | 2.51668i | 0.309536 | + | 0.123688i | ||||
\(415\) | 23.0444i | 1.13120i | ||||||||
\(416\) | 6.36548 | + | 0.749615i | 0.312094 | + | 0.0367529i | ||||
\(417\) | 2.90089 | − | 20.1761i | 0.142057 | − | 0.988030i | ||||
\(418\) | 2.76877 | − | 4.35713i | 0.135425 | − | 0.213114i | ||||
\(419\) | −16.6886 | + | 4.90023i | −0.815294 | + | 0.239392i | −0.662688 | − | 0.748895i | \(-0.730585\pi\) |
−0.152605 | + | 0.988287i | \(0.548766\pi\) | |||||||
\(420\) | −1.19007 | − | 7.71586i | −0.0580693 | − | 0.376495i | ||||
\(421\) | 8.84700 | − | 7.66597i | 0.431177 | − | 0.373617i | −0.412062 | − | 0.911156i | \(-0.635191\pi\) |
0.843239 | + | 0.537539i | \(0.180646\pi\) | |||||||
\(422\) | −28.1858 | + | 0.144184i | −1.37207 | + | 0.00701874i | ||||
\(423\) | −1.72645 | + | 5.87974i | −0.0839427 | + | 0.285883i | ||||
\(424\) | 1.29242 | + | 2.71880i | 0.0627655 | + | 0.132037i | ||||
\(425\) | 0.821874 | − | 1.27886i | 0.0398667 | − | 0.0620338i | ||||
\(426\) | −11.2186 | − | 9.62096i | −0.543544 | − | 0.466137i | ||||
\(427\) | 10.5730 | + | 9.16159i | 0.511665 | + | 0.443361i | ||||
\(428\) | 22.6321 | + | 14.2197i | 1.09396 | + | 0.687336i | ||||
\(429\) | 1.21808 | − | 0.175134i | 0.0588096 | − | 0.00845555i | ||||
\(430\) | −9.98645 | + | 6.49033i | −0.481590 | + | 0.312991i | ||||
\(431\) | 9.93131 | + | 21.7465i | 0.478374 | + | 1.04749i | 0.982907 | + | 0.184101i | \(0.0589375\pi\) |
−0.504533 | + | 0.863392i | \(0.668335\pi\) | |||||||
\(432\) | −1.04817 | + | 3.86023i | −0.0504300 | + | 0.185725i | ||||
\(433\) | −36.3891 | − | 16.6184i | −1.74875 | − | 0.798627i | −0.988910 | − | 0.148516i | \(-0.952550\pi\) |
−0.759839 | − | 0.650111i | \(-0.774722\pi\) | |||||||
\(434\) | 3.78644 | + | 1.09079i | 0.181755 | + | 0.0523597i | ||||
\(435\) | −10.7366 | + | 6.90001i | −0.514782 | + | 0.330830i | ||||
\(436\) | 4.18711 | − | 14.8192i | 0.200526 | − | 0.709711i | ||||
\(437\) | 13.1716 | − | 9.29095i | 0.630082 | − | 0.444446i | ||||
\(438\) | −0.733921 | + | 5.29674i | −0.0350681 | + | 0.253088i | ||||
\(439\) | −15.2944 | − | 23.7985i | −0.729960 | − | 1.13584i | −0.985604 | − | 0.169069i | \(-0.945924\pi\) |
0.255644 | − | 0.966771i | \(-0.417712\pi\) | |||||||
\(440\) | −3.82052 | − | 2.37325i | −0.182136 | − | 0.113140i | ||||
\(441\) | −0.0451386 | + | 0.0988396i | −0.00214945 | + | 0.00470665i | ||||
\(442\) | 0.125678 | + | 0.843455i | 0.00597787 | + | 0.0401190i | ||||
\(443\) | 14.4628 | − | 6.60494i | 0.687148 | − | 0.313810i | −0.0410690 | − | 0.999156i | \(-0.513076\pi\) |
0.728217 | + | 0.685346i | \(0.240349\pi\) | |||||||
\(444\) | −8.41638 | − | 17.9412i | −0.399424 | − | 0.851454i | ||||
\(445\) | −2.09291 | − | 14.5565i | −0.0992135 | − | 0.690045i | ||||
\(446\) | −16.6564 | + | 36.9717i | −0.788703 | + | 1.75066i | ||||
\(447\) | 6.82211 | − | 7.87314i | 0.322675 | − | 0.372387i | ||||
\(448\) | 3.68199 | + | 21.0095i | 0.173958 | + | 0.992603i | ||||
\(449\) | 21.1730 | + | 13.6071i | 0.999216 | + | 0.642157i | 0.934580 | − | 0.355752i | \(-0.115775\pi\) |
0.0646355 | + | 0.997909i | \(0.479412\pi\) | |||||||
\(450\) | 3.03939 | − | 2.66099i | 0.143278 | − | 0.125440i | ||||
\(451\) | 1.85968 | + | 0.546050i | 0.0875687 | + | 0.0257125i | ||||
\(452\) | −15.6062 | − | 2.08111i | −0.734056 | − | 0.0978871i | ||||
\(453\) | 2.94126 | + | 3.39440i | 0.138192 | + | 0.159483i | ||||
\(454\) | −5.12133 | − | 17.1172i | −0.240356 | − | 0.803352i | ||||
\(455\) | −1.24607 | − | 4.24374i | −0.0584168 | − | 0.198949i | ||||
\(456\) | 6.33481 | + | 7.08799i | 0.296654 | + | 0.331926i | ||||
\(457\) | −20.7480 | − | 2.98311i | −0.970551 | − | 0.139544i | −0.361238 | − | 0.932474i | \(-0.617646\pi\) |
−0.609313 | + | 0.792930i | \(0.708555\pi\) | |||||||
\(458\) | 14.5805 | + | 31.4995i | 0.681303 | + | 1.47187i | ||||
\(459\) | −0.532191 | −0.0248406 | ||||||||
\(460\) | −8.21148 | − | 11.3920i | −0.382862 | − | 0.531154i | ||||
\(461\) | −3.90143 | −0.181708 | −0.0908538 | − | 0.995864i | \(-0.528960\pi\) | ||||
−0.0908538 | + | 0.995864i | \(0.528960\pi\) | |||||||
\(462\) | 1.72027 | + | 3.71643i | 0.0800341 | + | 0.172904i | ||||
\(463\) | −20.8724 | − | 3.00100i | −0.970025 | − | 0.139469i | −0.360953 | − | 0.932584i | \(-0.617549\pi\) |
−0.609071 | + | 0.793115i | \(0.708458\pi\) | |||||||
\(464\) | 28.9415 | − | 19.4476i | 1.34358 | − | 0.902834i | ||||
\(465\) | −0.431059 | − | 1.46805i | −0.0199899 | − | 0.0680794i | ||||
\(466\) | 9.73879 | + | 32.5504i | 0.451141 | + | 1.50787i | ||||
\(467\) | 17.7236 | + | 20.4541i | 0.820151 | + | 0.946505i | 0.999303 | − | 0.0373168i | \(-0.0118811\pi\) |
−0.179153 | + | 0.983821i | \(0.557336\pi\) | |||||||
\(468\) | −0.299534 | + | 2.24621i | −0.0138460 | + | 0.103831i | ||||
\(469\) | 8.15095 | + | 2.39333i | 0.376376 | + | 0.110514i | ||||
\(470\) | 9.54640 | − | 8.35788i | 0.440343 | − | 0.385520i | ||||
\(471\) | 10.2167 | + | 6.56589i | 0.470762 | + | 0.302540i | ||||
\(472\) | 18.9812 | − | 12.6142i | 0.873682 | − | 0.580617i | ||||
\(473\) | 4.09130 | − | 4.72161i | 0.188118 | − | 0.217100i | ||||
\(474\) | −9.39802 | + | 20.8605i | −0.431665 | + | 0.958156i | ||||
\(475\) | −1.36629 | − | 9.50278i | −0.0626899 | − | 0.436018i | ||||
\(476\) | −2.56922 | + | 1.20524i | −0.117760 | + | 0.0552421i | ||||
\(477\) | −0.968141 | + | 0.442135i | −0.0443281 | + | 0.0202440i | ||||
\(478\) | −3.26076 | − | 21.8838i | −0.149144 | − | 1.00094i | ||||
\(479\) | 15.1090 | − | 33.0841i | 0.690349 | − | 1.51165i | −0.160945 | − | 0.986963i | \(-0.551454\pi\) |
0.851294 | − | 0.524689i | \(-0.175818\pi\) | |||||||
\(480\) | 6.11844 | − | 5.58192i | 0.279267 | − | 0.254779i | ||||
\(481\) | −6.06973 | − | 9.44469i | −0.276756 | − | 0.430641i | ||||
\(482\) | 1.87582 | − | 13.5379i | 0.0854414 | − | 0.616634i | ||||
\(483\) | 0.551296 | + | 12.7748i | 0.0250848 | + | 0.581273i | ||||
\(484\) | −18.9008 | − | 5.34035i | −0.859126 | − | 0.242743i | ||||
\(485\) | −12.2349 | + | 7.86289i | −0.555558 | + | 0.357036i | ||||
\(486\) | −1.35895 | − | 0.391484i | −0.0616431 | − | 0.0177581i | ||||
\(487\) | −25.5953 | − | 11.6890i | −1.15983 | − | 0.529678i | −0.259870 | − | 0.965644i | \(-0.583680\pi\) |
−0.899964 | + | 0.435965i | \(0.856407\pi\) | |||||||
\(488\) | −1.88646 | + | 14.7210i | −0.0853962 | + | 0.666387i | ||||
\(489\) | −3.49901 | − | 7.66176i | −0.158231 | − | 0.346477i | ||||
\(490\) | 0.188641 | − | 0.122601i | 0.00852195 | − | 0.00553853i | ||||
\(491\) | 2.60493 | − | 0.374532i | 0.117559 | − | 0.0169024i | −0.0832843 | − | 0.996526i | \(-0.526541\pi\) |
0.200843 | + | 0.979623i | \(0.435632\pi\) | |||||||
\(492\) | −1.89875 | + | 3.02206i | −0.0856025 | + | 0.136245i | ||||
\(493\) | 3.50608 | + | 3.03803i | 0.157906 | + | 0.136826i | ||||
\(494\) | 4.08809 | + | 3.50590i | 0.183932 | + | 0.157738i | ||||
\(495\) | 0.859701 | − | 1.33772i | 0.0386407 | − | 0.0601261i | ||||
\(496\) | 1.25951 | + | 3.98591i | 0.0565536 | + | 0.178973i | ||||
\(497\) | 7.84987 | − | 26.7342i | 0.352115 | − | 1.19919i | ||||
\(498\) | 22.2592 | − | 0.113866i | 0.997457 | − | 0.00510245i | ||||
\(499\) | −0.252294 | + | 0.218614i | −0.0112942 | + | 0.00978651i | −0.660490 | − | 0.750835i | \(-0.729651\pi\) |
0.649195 | + | 0.760622i | \(0.275106\pi\) | |||||||
\(500\) | −22.7362 | + | 3.50675i | −1.01679 | + | 0.156826i | ||||
\(501\) | −19.7575 | + | 5.80131i | −0.882698 | + | 0.259184i | ||||
\(502\) | −14.0862 | + | 22.1671i | −0.628699 | + | 0.989366i | ||||
\(503\) | −1.26373 | + | 8.78944i | −0.0563470 | + | 0.391902i | 0.942058 | + | 0.335449i | \(0.108888\pi\) |
−0.998405 | + | 0.0564526i | \(0.982021\pi\) | |||||||
\(504\) | −7.44707 | + | 1.18764i | −0.331719 | + | 0.0529017i | ||||
\(505\) | 12.8937i | 0.573764i | ||||||||
\(506\) | 5.79327 | + | 4.54984i | 0.257542 | + | 0.202265i | ||||
\(507\) | − | 11.7162i | − | 0.520335i | ||||||
\(508\) | 9.32434 | + | 30.5943i | 0.413701 | + | 1.35740i | ||||
\(509\) | 1.91464 | − | 13.3166i | 0.0848647 | − | 0.590247i | −0.902368 | − | 0.430965i | \(-0.858173\pi\) |
0.987233 | − | 0.159282i | \(-0.0509178\pi\) | |||||||
\(510\) | 0.930026 | + | 0.590991i | 0.0411823 | + | 0.0261695i | ||||
\(511\) | −9.67295 | + | 2.84023i | −0.427906 | + | 0.125645i | ||||
\(512\) | −16.4006 | + | 15.5891i | −0.724810 | + | 0.688948i | ||||
\(513\) | −2.54006 | + | 2.20097i | −0.112146 | + | 0.0971753i | ||||
\(514\) | 0.0419600 | + | 8.20259i | 0.00185078 | + | 0.361801i | ||||
\(515\) | −3.91271 | + | 13.3255i | −0.172414 | + | 0.587190i | ||||
\(516\) | 6.31852 | + | 9.61410i | 0.278157 | + | 0.423237i | ||||
\(517\) | −3.59831 | + | 5.59907i | −0.158253 | + | 0.246247i | ||||
\(518\) | 24.3217 | − | 28.3606i | 1.06863 | − | 1.24609i | ||||
\(519\) | 4.08772 | + | 3.54203i | 0.179431 | + | 0.155478i | ||||
\(520\) | 3.01783 | − | 3.59271i | 0.132341 | − | 0.157551i | ||||
\(521\) | −18.2750 | + | 2.62755i | −0.800643 | + | 0.115115i | −0.530477 | − | 0.847699i | \(-0.677987\pi\) |
−0.270165 | + | 0.962814i | \(0.587078\pi\) | |||||||
\(522\) | 6.71795 | + | 10.3367i | 0.294037 | + | 0.452425i | ||||
\(523\) | 8.19072 | + | 17.9352i | 0.358155 | + | 0.784251i | 0.999850 | + | 0.0172910i | \(0.00550416\pi\) |
−0.641695 | + | 0.766960i | \(0.721769\pi\) | |||||||
\(524\) | −0.0345213 | − | 3.37412i | −0.00150807 | − | 0.147399i | ||||
\(525\) | 6.92768 | + | 3.16377i | 0.302349 | + | 0.138078i | ||||
\(526\) | 6.93951 | − | 24.0890i | 0.302577 | − | 1.05033i | ||||
\(527\) | −0.467874 | + | 0.300685i | −0.0203809 | + | 0.0130980i | ||||
\(528\) | −2.27351 | + | 3.70206i | −0.0989418 | + | 0.161112i | ||||
\(529\) | 11.3214 | + | 20.0206i | 0.492235 | + | 0.870462i | ||||
\(530\) | 2.18285 | + | 0.302458i | 0.0948170 | + | 0.0131379i | ||||
\(531\) | 4.35629 | + | 6.77852i | 0.189047 | + | 0.294163i | ||||
\(532\) | −7.27794 | + | 16.3779i | −0.315539 | + | 0.710070i | ||||
\(533\) | −0.839947 | + | 1.83923i | −0.0363821 | + | 0.0796658i | ||||
\(534\) | −14.0502 | + | 2.09352i | −0.608010 | + | 0.0905956i | ||||
\(535\) | 17.7982 | − | 8.12816i | 0.769483 | − | 0.351411i | ||||
\(536\) | 2.67135 | + | 8.60690i | 0.115385 | + | 0.371761i | ||||
\(537\) | 0.486682 | + | 3.38495i | 0.0210019 | + | 0.146071i | ||||
\(538\) | 38.1878 | + | 17.2042i | 1.64639 | + | 0.741727i | ||||
\(539\) | −0.0772836 | + | 0.0891901i | −0.00332884 | + | 0.00384169i | ||||
\(540\) | 1.94008 | + | 2.19323i | 0.0834878 | + | 0.0943814i | ||||
\(541\) | −26.8115 | − | 17.2307i | −1.15272 | − | 0.740805i | −0.182538 | − | 0.983199i | \(-0.558431\pi\) |
−0.970178 | + | 0.242394i | \(0.922067\pi\) | |||||||
\(542\) | 10.7281 | + | 12.2537i | 0.460812 | + | 0.526341i | ||||
\(543\) | −1.41752 | − | 0.416222i | −0.0608318 | − | 0.0178618i | ||||
\(544\) | −2.57342 | − | 1.56231i | −0.110334 | − | 0.0669836i | ||||
\(545\) | −7.38223 | − | 8.51954i | −0.316220 | − | 0.364937i | ||||
\(546\) | −4.09298 | + | 1.22458i | −0.175163 | + | 0.0524073i | ||||
\(547\) | −2.93808 | − | 10.0062i | −0.125623 | − | 0.427833i | 0.872531 | − | 0.488558i | \(-0.162477\pi\) |
−0.998155 | + | 0.0607248i | \(0.980659\pi\) | |||||||
\(548\) | −9.69832 | − | 8.23144i | −0.414292 | − | 0.351630i | ||||
\(549\) | −5.19380 | − | 0.746755i | −0.221666 | − | 0.0318707i | ||||
\(550\) | 3.98163 | − | 1.84302i | 0.169777 | − | 0.0785867i | ||||
\(551\) | 29.2982 | 1.24815 | ||||||||
\(552\) | −10.9632 | + | 7.98797i | −0.466626 | + | 0.339990i | ||||
\(553\) | −43.1351 | −1.83429 | ||||||||
\(554\) | 2.92180 | − | 1.35245i | 0.124136 | − | 0.0574601i | ||||
\(555\) | −14.3594 | − | 2.06457i | −0.609522 | − | 0.0876361i | ||||
\(556\) | 31.0813 | + | 26.3803i | 1.31814 | + | 1.11877i | ||||
\(557\) | −4.07218 | − | 13.8686i | −0.172544 | − | 0.587631i | −0.999672 | − | 0.0256170i | \(-0.991845\pi\) |
0.827128 | − | 0.562014i | \(-0.189973\pi\) | |||||||
\(558\) | −1.41590 | + | 0.423625i | −0.0599399 | + | 0.0179335i | ||||
\(559\) | 4.26811 | + | 4.92566i | 0.180522 | + | 0.208333i | ||||
\(560\) | 14.3329 | + | 6.19441i | 0.605676 | + | 0.261762i | ||||
\(561\) | −0.554604 | − | 0.162846i | −0.0234154 | − | 0.00687538i | ||||
\(562\) | 10.5925 | + | 12.0987i | 0.446816 | + | 0.510354i | ||||
\(563\) | −32.0247 | − | 20.5810i | −1.34968 | − | 0.867385i | −0.352034 | − | 0.935987i | \(-0.614510\pi\) |
−0.997644 | + | 0.0686018i | \(0.978146\pi\) | |||||||
\(564\) | −8.12027 | − | 9.17982i | −0.341925 | − | 0.386540i | ||||
\(565\) | −7.54763 | + | 8.71043i | −0.317531 | + | 0.366450i | ||||
\(566\) | 26.2842 | + | 11.8415i | 1.10481 | + | 0.497734i | ||||
\(567\) | −0.379441 | − | 2.63907i | −0.0159350 | − | 0.110830i | ||||
\(568\) | 28.2297 | − | 8.76172i | 1.18449 | − | 0.367634i | ||||
\(569\) | −19.7896 | + | 9.03761i | −0.829623 | + | 0.378876i | −0.784518 | − | 0.620106i | \(-0.787090\pi\) |
−0.0451053 | + | 0.998982i | \(0.514362\pi\) | |||||||
\(570\) | 6.88300 | − | 1.02559i | 0.288297 | − | 0.0429573i | ||||
\(571\) | 6.93823 | − | 15.1926i | 0.290356 | − | 0.635790i | −0.707097 | − | 0.707116i | \(-0.749996\pi\) |
0.997453 | + | 0.0713259i | \(0.0227230\pi\) | |||||||
\(572\) | −0.999470 | + | 2.24915i | −0.0417899 | + | 0.0940416i | ||||
\(573\) | −0.745114 | − | 1.15942i | −0.0311276 | − | 0.0484355i | ||||
\(574\) | −6.66502 | − | 0.923512i | −0.278193 | − | 0.0385466i | ||||
\(575\) | 13.6864 | − | 0.590635i | 0.570761 | − | 0.0246312i | ||||
\(576\) | −5.42196 | − | 5.88238i | −0.225915 | − | 0.245099i | ||||
\(577\) | 23.0810 | − | 14.8332i | 0.960874 | − | 0.617516i | 0.0366340 | − | 0.999329i | \(-0.488336\pi\) |
0.924240 | + | 0.381813i | \(0.124700\pi\) | |||||||
\(578\) | −6.54434 | + | 22.7172i | −0.272209 | + | 0.944912i | ||||
\(579\) | −17.2561 | − | 7.88059i | −0.717139 | − | 0.327506i | ||||
\(580\) | −0.261141 | − | 25.5240i | −0.0108433 | − | 1.05983i | ||||
\(581\) | 17.4331 | + | 38.1732i | 0.723248 | + | 1.58369i | ||||
\(582\) | 7.65543 | + | 11.7792i | 0.317328 | + | 0.488262i | ||||
\(583\) | −1.14420 | + | 0.164512i | −0.0473880 | + | 0.00681337i | ||||
\(584\) | −8.18903 | − | 6.87868i | −0.338864 | − | 0.284642i | ||||
\(585\) | 1.25369 | + | 1.08633i | 0.0518338 | + | 0.0449142i | ||||
\(586\) | −26.9674 | + | 31.4456i | −1.11401 | + | 1.29900i | ||||
\(587\) | −12.7989 | + | 19.9154i | −0.528266 | + | 0.821997i | −0.998154 | − | 0.0607283i | \(-0.980658\pi\) |
0.469889 | + | 0.882726i | \(0.344294\pi\) | |||||||
\(588\) | −0.119355 | − | 0.181608i | −0.00492212 | − | 0.00748938i | ||||
\(589\) | −0.989549 | + | 3.37009i | −0.0407736 | + | 0.138862i | ||||
\(590\) | −0.0853430 | − | 16.6833i | −0.00351352 | − | 0.686843i | ||||
\(591\) | −4.93812 | + | 4.27890i | −0.203127 | + | 0.176011i | ||||
\(592\) | 39.3383 | + | 4.83672i | 1.61679 | + | 0.198788i | ||||
\(593\) | 2.67115 | − | 0.784320i | 0.109691 | − | 0.0322081i | −0.226426 | − | 0.974028i | \(-0.572704\pi\) |
0.336117 | + | 0.941820i | \(0.390886\pi\) | |||||||
\(594\) | −1.29639 | − | 0.823798i | −0.0531914 | − | 0.0338008i | ||||
\(595\) | −0.295650 | + | 2.05629i | −0.0121205 | + | 0.0842997i | ||||
\(596\) | 6.07420 | + | 19.9302i | 0.248809 | + | 0.816374i | ||||
\(597\) | − | 13.0364i | − | 0.533545i | ||||||
\(598\) | −5.55825 | + | 5.30662i | −0.227294 | + | 0.217004i | ||||
\(599\) | − | 37.2149i | − | 1.52056i | −0.649595 | − | 0.760280i | \(-0.725062\pi\) | ||
0.649595 | − | 0.760280i | \(-0.274938\pi\) | |||||||
\(600\) | 1.27239 | + | 7.97847i | 0.0519450 | + | 0.325720i | ||||
\(601\) | −3.84761 | + | 26.7607i | −0.156947 | + | 1.09159i | 0.747271 | + | 0.664520i | \(0.231364\pi\) |
−0.904218 | + | 0.427071i | \(0.859545\pi\) | |||||||
\(602\) | −11.6327 | + | 18.3061i | −0.474114 | + | 0.746099i | ||||
\(603\) | −3.05713 | + | 0.897655i | −0.124496 | + | 0.0365553i | ||||
\(604\) | −8.87788 | + | 1.36929i | −0.361236 | + | 0.0557157i | ||||
\(605\) | −10.8660 | + | 9.41548i | −0.441767 | + | 0.382794i | ||||
\(606\) | 12.4544 | − | 0.0637100i | 0.505925 | − | 0.00258804i | ||||
\(607\) | −1.66665 | + | 5.67608i | −0.0676471 | + | 0.230385i | −0.986377 | − | 0.164502i | \(-0.947398\pi\) |
0.918730 | + | 0.394887i | \(0.129216\pi\) | |||||||
\(608\) | −18.7437 | + | 3.18617i | −0.760157 | + | 0.129216i | ||||
\(609\) | −12.5655 | + | 19.5522i | −0.509178 | + | 0.792296i | ||||
\(610\) | 8.24711 | + | 7.07263i | 0.333916 | + | 0.286362i | ||||
\(611\) | −5.24736 | − | 4.54687i | −0.212286 | − | 0.183947i | ||||
\(612\) | 0.566258 | − | 0.901256i | 0.0228896 | − | 0.0364311i | ||||
\(613\) | 28.9604 | − | 4.16388i | 1.16970 | − | 0.168178i | 0.470035 | − | 0.882648i | \(-0.344241\pi\) |
0.699666 | + | 0.714470i | \(0.253332\pi\) | |||||||
\(614\) | 11.8594 | − | 7.70757i | 0.478606 | − | 0.311052i | ||||
\(615\) | 1.08535 | + | 2.37659i | 0.0437656 | + | 0.0958333i | ||||
\(616\) | −8.12409 | − | 1.04109i | −0.327329 | − | 0.0419466i | ||||
\(617\) | −2.21102 | − | 1.00974i | −0.0890125 | − | 0.0406506i | 0.370411 | − | 0.928868i | \(-0.379217\pi\) |
−0.459424 | + | 0.888217i | \(0.651944\pi\) | |||||||
\(618\) | 12.8907 | + | 3.71354i | 0.518541 | + | 0.149381i | ||||
\(619\) | −10.5790 | + | 6.79873i | −0.425207 | + | 0.273264i | −0.735695 | − | 0.677313i | \(-0.763144\pi\) |
0.310487 | + | 0.950577i | \(0.399508\pi\) | |||||||
\(620\) | 2.94477 | + | 0.832036i | 0.118265 | + | 0.0334154i | ||||
\(621\) | −2.76436 | − | 3.91897i | −0.110930 | − | 0.157263i | ||||
\(622\) | −1.51875 | + | 10.9609i | −0.0608963 | + | 0.439491i | ||||
\(623\) | −14.4790 | − | 22.5297i | −0.580088 | − | 0.902634i | ||||
\(624\) | −3.48520 | − | 2.89725i | −0.139520 | − | 0.115983i | ||||
\(625\) | −1.06276 | + | 2.32713i | −0.0425106 | + | 0.0930852i | ||||
\(626\) | 1.39676 | + | 9.37402i | 0.0558257 | + | 0.374661i | ||||
\(627\) | −3.32051 | + | 1.51643i | −0.132608 | + | 0.0605602i | ||||
\(628\) | −21.9899 | + | 10.3156i | −0.877494 | + | 0.411639i | ||||
\(629\) | 0.750467 | + | 5.21961i | 0.0299231 | + | 0.208120i | ||||
\(630\) | −2.26756 | + | 5.03324i | −0.0903418 | + | 0.200529i | ||||
\(631\) | −8.55833 | + | 9.87683i | −0.340702 | + | 0.393191i | −0.900082 | − | 0.435720i | \(-0.856494\pi\) |
0.559380 | + | 0.828911i | \(0.311039\pi\) | |||||||
\(632\) | −25.3273 | − | 38.1112i | −1.00747 | − | 1.51598i | ||||
\(633\) | 16.7667 | + | 10.7753i | 0.666418 | + | 0.428281i | ||||
\(634\) | −3.54858 | + | 3.10678i | −0.140932 | + | 0.123386i | ||||
\(635\) | 22.4650 | + | 6.59632i | 0.891496 | + | 0.261767i | ||||
\(636\) | 0.281366 | − | 2.10997i | 0.0111569 | − | 0.0836656i | ||||
\(637\) | −0.0806235 | − | 0.0930445i | −0.00319442 | − | 0.00368656i | ||||
\(638\) | 3.83792 | + | 12.8276i | 0.151945 | + | 0.507851i | ||||
\(639\) | 2.94421 | + | 10.0271i | 0.116471 | + | 0.396664i | ||||
\(640\) | 2.94279 | + | 16.3007i | 0.116324 | + | 0.644342i | ||||
\(641\) | 0.522158 | + | 0.0750750i | 0.0206240 | + | 0.00296528i | 0.152619 | − | 0.988285i | \(-0.451229\pi\) |
−0.131995 | + | 0.991250i | \(0.542138\pi\) | |||||||
\(642\) | −7.93914 | − | 17.1516i | −0.313333 | − | 0.676918i | ||||
\(643\) | 40.8477 | 1.61088 | 0.805438 | − | 0.592681i | \(-0.201930\pi\) | ||||
0.805438 | + | 0.592681i | \(0.201930\pi\) | |||||||
\(644\) | −22.2205 | − | 12.6589i | −0.875608 | − | 0.498831i | ||||
\(645\) | 8.42180 | 0.331608 | ||||||||
\(646\) | −1.06258 | − | 2.29558i | −0.0418067 | − | 0.0903185i | ||||
\(647\) | 6.04653 | + | 0.869360i | 0.237714 | + | 0.0341780i | 0.260142 | − | 0.965570i | \(-0.416231\pi\) |
−0.0224283 | + | 0.999748i | \(0.507140\pi\) | |||||||
\(648\) | 2.10891 | − | 1.88481i | 0.0828457 | − | 0.0740423i | ||||
\(649\) | 2.46558 | + | 8.39698i | 0.0967823 | + | 0.329610i | ||||
\(650\) | 1.31197 | + | 4.38504i | 0.0514596 | + | 0.171996i | ||||
\(651\) | −1.82464 | − | 2.10575i | −0.0715133 | − | 0.0825307i | ||||
\(652\) | 16.6980 | + | 2.22670i | 0.653945 | + | 0.0872042i | ||||
\(653\) | −34.7707 | − | 10.2096i | −1.36068 | − | 0.399532i | −0.481679 | − | 0.876348i | \(-0.659973\pi\) |
−0.879003 | + | 0.476816i | \(0.841791\pi\) | |||||||
\(654\) | −8.19277 | + | 7.17278i | −0.320363 | + | 0.280478i | ||||
\(655\) | −2.07800 | − | 1.33545i | −0.0811943 | − | 0.0521804i | ||||
\(656\) | −3.09750 | − | 6.43101i | −0.120937 | − | 0.251089i | ||||
\(657\) | 2.47612 | − | 2.85760i | 0.0966027 | − | 0.111485i | ||||
\(658\) | 9.49094 | − | 21.0668i | 0.369995 | − | 0.821269i | ||||
\(659\) | 6.24512 | + | 43.4357i | 0.243275 | + | 1.69202i | 0.635463 | + | 0.772131i | \(0.280809\pi\) |
−0.392188 | + | 0.919885i | \(0.628282\pi\) | |||||||
\(660\) | 1.35067 | + | 2.87924i | 0.0525749 | + | 0.112074i | ||||
\(661\) | 42.7330 | − | 19.5155i | 1.66212 | − | 0.759066i | 0.662170 | − | 0.749354i | \(-0.269636\pi\) |
0.999953 | − | 0.00971254i | \(-0.00309165\pi\) | |||||||
\(662\) | −7.21574 | − | 48.4267i | −0.280448 | − | 1.88216i | ||||
\(663\) | 0.250494 | − | 0.548505i | 0.00972838 | − | 0.0213022i | ||||
\(664\) | −23.4912 | + | 37.8166i | −0.911634 | + | 1.46757i | ||||
\(665\) | 7.09306 | + | 11.0370i | 0.275057 | + | 0.427997i | ||||
\(666\) | −1.92327 | + | 13.8803i | −0.0745251 | + | 0.537851i | ||||
\(667\) | −4.15998 | + | 41.5986i | −0.161075 | + | 1.61070i | ||||
\(668\) | 11.1978 | − | 39.6316i | 0.433254 | − | 1.53339i | ||||
\(669\) | 24.1217 | − | 15.5021i | 0.932600 | − | 0.599346i | ||||
\(670\) | 6.33930 | + | 1.82621i | 0.244908 | + | 0.0705528i | ||||
\(671\) | −5.18403 | − | 2.36747i | −0.200127 | − | 0.0913950i | ||||
\(672\) | 5.91252 | − | 13.8751i | 0.228080 | − | 0.535245i | ||||
\(673\) | −16.3747 | − | 35.8557i | −0.631200 | − | 1.38213i | −0.907086 | − | 0.420945i | \(-0.861699\pi\) |
0.275887 | − | 0.961190i | \(-0.411029\pi\) | |||||||
\(674\) | 15.4832 | − | 10.0627i | 0.596389 | − | 0.387601i | ||||
\(675\) | −2.82739 | + | 0.406517i | −0.108826 | + | 0.0156468i | ||||
\(676\) | 19.8412 | + | 12.4662i | 0.763122 | + | 0.479469i | ||||
\(677\) | 6.31005 | + | 5.46769i | 0.242515 | + | 0.210141i | 0.767634 | − | 0.640888i | \(-0.221434\pi\) |
−0.525119 | + | 0.851029i | \(0.675979\pi\) | |||||||
\(678\) | 8.45092 | + | 7.24741i | 0.324556 | + | 0.278335i | ||||
\(679\) | −14.3189 | + | 22.2807i | −0.549510 | + | 0.855055i | ||||
\(680\) | −1.99039 | + | 0.946160i | −0.0763280 | + | 0.0362836i | ||||
\(681\) | −3.55936 | + | 12.1221i | −0.136395 | + | 0.464519i | ||||
\(682\) | −1.60516 | + | 0.00821111i | −0.0614646 | + | 0.000314419i | ||||
\(683\) | −7.84903 | + | 6.80122i | −0.300335 | + | 0.260241i | −0.791970 | − | 0.610559i | \(-0.790945\pi\) |
0.491636 | + | 0.870801i | \(0.336399\pi\) | |||||||
\(684\) | −1.02465 | − | 6.64340i | −0.0391786 | − | 0.254017i | ||||
\(685\) | −8.93482 | + | 2.62350i | −0.341382 | + | 0.100239i | ||||
\(686\) | −13.9362 | + | 21.9310i | −0.532087 | + | 0.837331i | ||||
\(687\) | 3.49296 | − | 24.2941i | 0.133265 | − | 0.926878i | ||||
\(688\) | −23.0043 | + | 0.470771i | −0.877030 | + | 0.0179480i | ||||
\(689\) | − | 1.20592i | − | 0.0459421i | ||||||
\(690\) | 0.478868 | + | 9.91834i | 0.0182302 | + | 0.377585i | ||||
\(691\) | − | 49.7323i | − | 1.89191i | −0.324305 | − | 0.945953i | \(-0.605130\pi\) | ||
0.324305 | − | 0.945953i | \(-0.394870\pi\) | |||||||
\(692\) | −10.3478 | + | 3.15372i | −0.393362 | + | 0.119886i | ||||
\(693\) | 0.412114 | − | 2.86631i | 0.0156549 | − | 0.108882i | ||||
\(694\) | −16.2147 | − | 10.3037i | −0.615502 | − | 0.391124i | ||||
\(695\) | 28.6344 | − | 8.40783i | 1.08617 | − | 0.318927i | ||||
\(696\) | −24.6530 | + | 0.378360i | −0.934468 | + | 0.0143417i | ||||
\(697\) | 0.717742 | − | 0.621927i | 0.0271864 | − | 0.0235572i | ||||
\(698\) | −0.135631 | − | 26.5140i | −0.00513371 | − | 1.00357i | ||||
\(699\) | 6.76853 | − | 23.0515i | 0.256009 | − | 0.871888i | ||||
\(700\) | −12.7289 | + | 8.36561i | −0.481108 | + | 0.316190i | ||||
\(701\) | 21.5076 | − | 33.4665i | 0.812332 | − | 1.26401i | −0.149060 | − | 0.988828i | \(-0.547625\pi\) |
0.961391 | − | 0.275185i | \(-0.0887390\pi\) | |||||||
\(702\) | 1.04312 | − | 1.21634i | 0.0393700 | − | 0.0459078i | ||||
\(703\) | 25.1685 | + | 21.8086i | 0.949247 | + | 0.822528i | ||||
\(704\) | −3.85033 | − | 7.78918i | −0.145115 | − | 0.293566i | ||||
\(705\) | −8.88052 | + | 1.27683i | −0.334460 | + | 0.0480881i | ||||
\(706\) | −19.5096 | − | 30.0188i | −0.734255 | − | 1.12977i | ||||
\(707\) | 9.75415 | + | 21.3586i | 0.366843 | + | 0.803273i | ||||
\(708\) | −16.1145 | + | 0.164870i | −0.605618 | + | 0.00619619i | ||||
\(709\) | 3.93001 | + | 1.79478i | 0.147595 | + | 0.0674042i | 0.487843 | − | 0.872931i | \(-0.337784\pi\) |
−0.340248 | + | 0.940336i | \(0.610511\pi\) | |||||||
\(710\) | 5.98978 | − | 20.7922i | 0.224792 | − | 0.780317i | ||||
\(711\) | 13.6102 | − | 8.74673i | 0.510421 | − | 0.328028i | ||||
\(712\) | 11.4042 | − | 26.0212i | 0.427391 | − | 0.975187i | ||||
\(713\) | −4.64447 | − | 1.88351i | −0.173937 | − | 0.0705378i | ||||
\(714\) | 1.98768 | + | 0.275415i | 0.0743872 | + | 0.0103072i | ||||
\(715\) | 0.974080 | + | 1.51570i | 0.0364285 | + | 0.0566839i | ||||
\(716\) | −6.25018 | − | 2.77744i | −0.233580 | − | 0.103798i | ||||
\(717\) | −6.49918 | + | 14.2312i | −0.242716 | + | 0.531474i | ||||
\(718\) | −48.0143 | + | 7.15429i | −1.79188 | + | 0.266996i | ||||
\(719\) | −3.15959 | + | 1.44294i | −0.117833 | + | 0.0538125i | −0.473459 | − | 0.880816i | \(-0.656995\pi\) |
0.355626 | + | 0.934628i | \(0.384268\pi\) | |||||||
\(720\) | −5.77846 | + | 0.951871i | −0.215350 | + | 0.0354741i | ||||
\(721\) | 3.59931 | + | 25.0337i | 0.134045 | + | 0.932304i | ||||
\(722\) | 9.93334 | + | 4.47513i | 0.369680 | + | 0.166547i | ||||
\(723\) | −6.32870 | + | 7.30371i | −0.235367 | + | 0.271628i | ||||
\(724\) | 2.21313 | − | 1.95768i | 0.0822502 | − | 0.0727567i | ||||
\(725\) | 20.9474 | + | 13.4621i | 0.777968 | + | 0.499970i | ||||
\(726\) | 9.14834 | + | 10.4493i | 0.339527 | + | 0.387809i | ||||
\(727\) | −35.6126 | − | 10.4568i | −1.32080 | − | 0.387822i | −0.456018 | − | 0.889971i | \(-0.650725\pi\) |
−0.864781 | + | 0.502149i | \(0.832543\pi\) | |||||||
\(728\) | 2.28117 | − | 8.23435i | 0.0845457 | − | 0.305185i | ||||
\(729\) | 0.654861 | + | 0.755750i | 0.0242541 | + | 0.0279907i | ||||
\(730\) | −7.50045 | + | 2.24407i | −0.277604 | + | 0.0830567i | ||||
\(731\) | −0.862471 | − | 2.93731i | −0.0318996 | − | 0.108640i | ||||
\(732\) | 6.79088 | − | 8.00104i | 0.250998 | − | 0.295727i | ||||
\(733\) | 26.6005 | + | 3.82457i | 0.982510 | + | 0.141264i | 0.614805 | − | 0.788679i | \(-0.289235\pi\) |
0.367705 | + | 0.929943i | \(0.380144\pi\) | |||||||
\(734\) | 21.7579 | − | 10.0713i | 0.803100 | − | 0.371740i | ||||
\(735\) | −0.159086 | −0.00586796 | ||||||||
\(736\) | −1.86246 | − | 27.0653i | −0.0686513 | − | 0.997641i | ||||
\(737\) | −3.46055 | −0.127471 | ||||||||
\(738\) | 2.29024 | − | 1.06011i | 0.0843050 | − | 0.0390232i | ||||
\(739\) | 28.2442 | + | 4.06090i | 1.03898 | + | 0.149383i | 0.640629 | − | 0.767851i | \(-0.278674\pi\) |
0.398351 | + | 0.917233i | \(0.369583\pi\) | |||||||
\(740\) | 18.7749 | − | 22.1206i | 0.690178 | − | 0.813171i | ||||
\(741\) | −1.07288 | − | 3.65388i | −0.0394131 | − | 0.134229i | ||||
\(742\) | 3.84472 | − | 1.15031i | 0.141144 | − | 0.0422291i | ||||
\(743\) | 14.8215 | + | 17.1049i | 0.543747 | + | 0.627517i | 0.959415 | − | 0.281999i | \(-0.0909976\pi\) |
−0.415668 | + | 0.909516i | \(0.636452\pi\) | |||||||
\(744\) | 0.789134 | − | 2.84854i | 0.0289311 | − | 0.104433i | ||||
\(745\) | 14.6345 | + | 4.29707i | 0.536166 | + | 0.157433i | ||||
\(746\) | 7.73093 | + | 8.83029i | 0.283049 | + | 0.323300i | ||||
\(747\) | −13.2412 | − | 8.50958i | −0.484469 | − | 0.311349i | ||||
\(748\) | 0.865882 | − | 0.765941i | 0.0316598 | − | 0.0280056i | ||||
\(749\) | 23.3339 | − | 26.9287i | 0.852602 | − | 0.983955i | ||||
\(750\) | 14.8314 | + | 6.68178i | 0.541565 | + | 0.243984i | ||||
\(751\) | −0.504793 | − | 3.51091i | −0.0184201 | − | 0.128115i | 0.978536 | − | 0.206074i | \(-0.0660688\pi\) |
−0.996957 | + | 0.0779590i | \(0.975160\pi\) | |||||||
\(752\) | 24.1859 | − | 3.98408i | 0.881969 | − | 0.145285i | ||||
\(753\) | 16.8932 | − | 7.71489i | 0.615624 | − | 0.281146i | ||||
\(754\) | −13.8156 | + | 2.05857i | −0.503134 | + | 0.0749686i | ||||
\(755\) | −2.73170 | + | 5.98158i | −0.0994166 | + | 0.217692i | ||||
\(756\) | 4.87294 | + | 2.16542i | 0.177227 | + | 0.0787557i | ||||
\(757\) | 12.4776 | + | 19.4155i | 0.453505 | + | 0.705668i | 0.990438 | − | 0.137957i | \(-0.0440536\pi\) |
−0.536933 | + | 0.843625i | \(0.680417\pi\) | |||||||
\(758\) | −10.4595 | − | 1.44927i | −0.379905 | − | 0.0526399i | ||||
\(759\) | −1.68160 | − | 4.92988i | −0.0610383 | − | 0.178943i | ||||
\(760\) | −5.58678 | + | 12.7475i | −0.202654 | + | 0.462400i | ||||
\(761\) | −0.748673 | + | 0.481143i | −0.0271394 | + | 0.0174414i | −0.554140 | − | 0.832423i | \(-0.686953\pi\) |
0.527001 | + | 0.849865i | \(0.323316\pi\) | |||||||
\(762\) | 6.26055 | − | 21.7321i | 0.226796 | − | 0.787271i | ||||
\(763\) | −18.6738 | − | 8.52803i | −0.676036 | − | 0.308735i | ||||
\(764\) | 2.75627 | − | 0.0281999i | 0.0997182 | − | 0.00102024i | ||||
\(765\) | −0.323680 | − | 0.708760i | −0.0117027 | − | 0.0256253i | ||||
\(766\) | −3.42285 | − | 5.26663i | −0.123673 | − | 0.190291i | ||||
\(767\) | −9.03675 | + | 1.29929i | −0.326298 | + | 0.0469146i | ||||
\(768\) | 15.7307 | − | 2.92306i | 0.567634 | − | 0.105477i | ||||
\(769\) | 5.64788 | + | 4.89392i | 0.203668 | + | 0.176479i | 0.750722 | − | 0.660618i | \(-0.229706\pi\) |
−0.547055 | + | 0.837097i | \(0.684251\pi\) | |||||||
\(770\) | −3.90319 | + | 4.55135i | −0.140661 | + | 0.164019i | ||||
\(771\) | 3.13581 | − | 4.87942i | 0.112934 | − | 0.175728i | ||||
\(772\) | 31.7063 | − | 20.8378i | 1.14114 | − | 0.749970i | ||||
\(773\) | 7.13525 | − | 24.3004i | 0.256637 | − | 0.874025i | −0.725875 | − | 0.687827i | \(-0.758565\pi\) |
0.982512 | − | 0.186199i | \(-0.0596168\pi\) | |||||||
\(774\) | −0.0416134 | − | 8.13484i | −0.00149576 | − | 0.292401i | ||||
\(775\) | −2.25601 | + | 1.95484i | −0.0810382 | + | 0.0702200i | ||||
\(776\) | −28.0932 | + | 0.431160i | −1.00849 | + | 0.0154777i | ||||
\(777\) | −25.3483 | + | 7.44294i | −0.909366 | + | 0.267014i | ||||
\(778\) | 27.1122 | + | 17.2286i | 0.972018 | + | 0.617675i | ||||
\(779\) | 0.853568 | − | 5.93670i | 0.0305823 | − | 0.212704i | ||||
\(780\) | −3.17362 | + | 0.967235i | −0.113634 | + | 0.0346326i | ||||
\(781\) | 11.3502i | 0.406143i | ||||||||
\(782\) | 3.41022 | − | 1.18275i | 0.121949 | − | 0.0422949i | ||||
\(783\) | − | 8.71717i | − | 0.311526i | ||||||
\(784\) | 0.434545 | − | 0.00889275i | 0.0155195 | − | 0.000317598i | ||||
\(785\) | −2.53047 | + | 17.5998i | −0.0903163 | + | 0.628163i | ||||
\(786\) | −1.27968 | + | 2.01380i | −0.0456447 | + | 0.0718297i | ||||
\(787\) | 4.57775 | − | 1.34415i | 0.163179 | − | 0.0479137i | −0.199123 | − | 0.979975i | \(-0.563809\pi\) |
0.362302 | + | 0.932061i | \(0.381991\pi\) | |||||||
\(788\) | −1.99203 | − | 12.9154i | −0.0709630 | − | 0.460092i | ||||
\(789\) | −13.3966 | + | 11.6082i | −0.476930 | + | 0.413262i | ||||
\(790\) | −33.4974 | + | 0.171355i | −1.19179 | + | 0.00609653i | ||||
\(791\) | −5.91326 | + | 20.1387i | −0.210251 | + | 0.716050i | ||||
\(792\) | 2.77446 | − | 1.31888i | 0.0985861 | − | 0.0468643i | ||||
\(793\) | 3.21428 | − | 5.00152i | 0.114143 | − | 0.177609i | ||||
\(794\) | −32.4260 | − | 27.8081i | −1.15075 | − | 0.986874i | ||||
\(795\) | −1.17765 | − | 1.02044i | −0.0417670 | − | 0.0361913i | ||||
\(796\) | 22.0769 | + | 13.8709i | 0.782495 | + | 0.491641i | ||||
\(797\) | −24.4084 | + | 3.50939i | −0.864589 | + | 0.124309i | −0.560319 | − | 0.828277i | \(-0.689322\pi\) |
−0.304270 | + | 0.952586i | \(0.598412\pi\) | |||||||
\(798\) | 10.6259 | − | 6.90591i | 0.376153 | − | 0.244467i | ||||
\(799\) | 1.35477 | + | 2.96654i | 0.0479284 | + | 0.104949i | ||||
\(800\) | −14.8652 | − | 6.33442i | −0.525565 | − | 0.223956i | ||||
\(801\) | 9.13694 | + | 4.17270i | 0.322838 | + | 0.147435i | ||||
\(802\) | −22.5839 | − | 6.50594i | −0.797466 | − | 0.229733i | ||||
\(803\) | 3.45480 | − | 2.22027i | 0.121917 | − | 0.0783515i | ||||
\(804\) | 1.73266 | − | 6.13231i | 0.0611063 | − | 0.216270i | ||||
\(805\) | −16.6779 | + | 8.50385i | −0.587818 | + | 0.299722i | ||||
\(806\) | 0.229831 | − | 1.65870i | 0.00809544 | − | 0.0584251i | ||||
\(807\) | −16.0120 | − | 24.9151i | −0.563648 | − | 0.877053i | ||||
\(808\) | −13.1437 | + | 21.1591i | −0.462395 | + | 0.744374i | ||||
\(809\) | −16.5352 | + | 36.2069i | −0.581345 | + | 1.27297i | 0.359188 | + | 0.933265i | \(0.383054\pi\) |
−0.940533 | + | 0.339703i | \(0.889673\pi\) | |||||||
\(810\) | −0.305146 | − | 2.04792i | −0.0107218 | − | 0.0719565i | ||||
\(811\) | −22.7805 | + | 10.4035i | −0.799932 | + | 0.365317i | −0.773069 | − | 0.634322i | \(-0.781279\pi\) |
−0.0268636 | + | 0.999639i | \(0.508552\pi\) | |||||||
\(812\) | −19.7415 | − | 42.0832i | −0.692792 | − | 1.47683i | ||||
\(813\) | −1.63893 | − | 11.3990i | −0.0574797 | − | 0.399780i | ||||
\(814\) | −6.25153 | + | 13.8763i | −0.219116 | + | 0.486366i | ||||
\(815\) | 8.07565 | − | 9.31979i | 0.282878 | − | 0.326458i | ||||
\(816\) | 0.923755 | + | 1.91789i | 0.0323379 | + | 0.0671397i | ||||
\(817\) | −16.2642 | − | 10.4523i | −0.569011 | − | 0.365681i | ||||
\(818\) | 38.2747 | − | 33.5095i | 1.33824 | − | 1.17163i | ||||
\(819\) | 2.89856 | + | 0.851095i | 0.101284 | + | 0.0297397i | ||||
\(820\) | −5.17953 | − | 0.690696i | −0.180877 | − | 0.0241201i | ||||
\(821\) | −8.99198 | − | 10.3773i | −0.313822 | − | 0.362170i | 0.576823 | − | 0.816869i | \(-0.304292\pi\) |
−0.890645 | + | 0.454699i | \(0.849747\pi\) | |||||||
\(822\) | 2.57825 | + | 8.61741i | 0.0899269 | + | 0.300567i | ||||
\(823\) | −1.76925 | − | 6.02550i | −0.0616721 | − | 0.210036i | 0.922892 | − | 0.385058i | \(-0.125819\pi\) |
−0.984565 | + | 0.175022i | \(0.944000\pi\) | |||||||
\(824\) | −20.0047 | + | 17.8790i | −0.696897 | + | 0.622843i | ||||
\(825\) | −3.07085 | − | 0.441521i | −0.106913 | − | 0.0153718i | ||||
\(826\) | −12.7624 | − | 27.5716i | −0.444060 | − | 0.959337i | ||||
\(827\) | 23.5953 | 0.820488 | 0.410244 | − | 0.911976i | \(-0.365444\pi\) | ||||
0.410244 | + | 0.911976i | \(0.365444\pi\) | |||||||
\(828\) | 9.57801 | − | 0.511559i | 0.332859 | − | 0.0177779i | ||||
\(829\) | 3.79790 | 0.131906 | 0.0659532 | − | 0.997823i | \(-0.478991\pi\) | ||||
0.0659532 | + | 0.997823i | \(0.478991\pi\) | |||||||
\(830\) | 13.6897 | + | 29.5750i | 0.475177 | + | 1.02656i | ||||
\(831\) | −2.25345 | − | 0.323998i | −0.0781715 | − | 0.0112394i | ||||
\(832\) | 8.61473 | − | 2.81942i | 0.298662 | − | 0.0977458i | ||||
\(833\) | 0.0162919 | + | 0.0554849i | 0.000564479 | + | 0.00192244i | ||||
\(834\) | −8.26283 | − | 27.6172i | −0.286118 | − | 0.956305i | ||||
\(835\) | −19.7426 | − | 22.7842i | −0.683220 | − | 0.788478i | ||||
\(836\) | 0.965022 | − | 7.23671i | 0.0333760 | − | 0.250287i | ||||
\(837\) | 1.00271 | + | 0.294423i | 0.0346588 | + | 0.0101767i | ||||
\(838\) | −18.5070 | + | 16.2029i | −0.639315 | + | 0.559721i | ||||
\(839\) | 4.44873 | + | 2.85903i | 0.153587 | + | 0.0987046i | 0.615177 | − | 0.788389i | \(-0.289084\pi\) |
−0.461590 | + | 0.887093i | \(0.652721\pi\) | |||||||
\(840\) | −6.11099 | − | 9.19550i | −0.210849 | − | 0.317275i | ||||
\(841\) | −30.7713 | + | 35.5119i | −1.06108 | + | 1.22455i | ||||
\(842\) | 6.80014 | − | 15.0941i | 0.234348 | − | 0.520176i | ||||
\(843\) | −1.61820 | − | 11.2548i | −0.0557338 | − | 0.387637i | ||||
\(844\) | −36.0878 | + | 16.9291i | −1.24219 | + | 0.582723i | ||||
\(845\) | 15.6034 | − | 7.12582i | 0.536772 | − | 0.245136i | ||||
\(846\) | 1.27720 | + | 8.57162i | 0.0439110 | + | 0.294698i | ||||
\(847\) | −10.8769 | + | 23.8170i | −0.373734 | + | 0.818362i | ||||
\(848\) | 3.27381 | + | 2.72152i | 0.112423 | + | 0.0934573i | ||||
\(849\) | −11.0209 | − | 17.1488i | −0.378235 | − | 0.588545i | ||||
\(850\) | 0.295068 | − | 2.12952i | 0.0101208 | − | 0.0730419i | ||||
\(851\) | −34.5382 | + | 32.6385i | −1.18395 | + | 1.11883i | ||||
\(852\) | −20.1133 | − | 5.68295i | −0.689071 | − | 0.194694i | ||||
\(853\) | −24.9976 | + | 16.0650i | −0.855902 | + | 0.550055i | −0.893411 | − | 0.449241i | \(-0.851694\pi\) |
0.0375080 | + | 0.999296i | \(0.488058\pi\) | |||||||
\(854\) | 19.0119 | + | 5.47691i | 0.650573 | + | 0.187416i | ||||
\(855\) | −4.47607 | − | 2.04415i | −0.153078 | − | 0.0699086i | ||||
\(856\) | 37.4932 | + | 4.80468i | 1.28149 | + | 0.164221i | ||||
\(857\) | 21.6505 | + | 47.4079i | 0.739566 | + | 1.61942i | 0.784267 | + | 0.620423i | \(0.213039\pi\) |
−0.0447011 | + | 0.999000i | \(0.514234\pi\) | |||||||
\(858\) | 1.45924 | − | 0.948378i | 0.0498176 | − | 0.0323771i | ||||
\(859\) | −4.33147 | + | 0.622771i | −0.147788 | + | 0.0212487i | −0.215812 | − | 0.976435i | \(-0.569240\pi\) |
0.0680238 | + | 0.997684i | \(0.478331\pi\) | |||||||
\(860\) | −8.96090 | + | 14.2622i | −0.305564 | + | 0.486336i | ||||
\(861\) | 3.59579 | + | 3.11577i | 0.122544 | + | 0.106185i | ||||
\(862\) | 25.6645 | + | 22.0095i | 0.874135 | + | 0.749648i | ||||
\(863\) | 4.42336 | − | 6.88288i | 0.150573 | − | 0.234296i | −0.757770 | − | 0.652521i | \(-0.773711\pi\) |
0.908343 | + | 0.418225i | \(0.137348\pi\) | |||||||
\(864\) | 0.947988 | + | 5.57686i | 0.0322512 | + | 0.189728i | ||||
\(865\) | −2.23103 | + | 7.59820i | −0.0758574 | + | 0.258347i | ||||
\(866\) | −56.5738 | + | 0.289401i | −1.92245 | + | 0.00983424i | ||||
\(867\) | 12.6337 | − | 10.9472i | 0.429063 | − | 0.371785i | ||||
\(868\) | 5.50748 | − | 0.849454i | 0.186936 | − | 0.0288324i | ||||
\(869\) | 16.8598 | − | 4.95048i | 0.571929 | − | 0.167933i | ||||
\(870\) | −9.68029 | + | 15.2336i | −0.328193 | + | 0.516468i | ||||
\(871\) | 0.513771 | − | 3.57336i | 0.0174085 | − | 0.121079i | ||||
\(872\) | −3.42976 | − | 21.5062i | −0.116146 | − | 0.728293i | ||||
\(873\) | − | 9.93363i | − | 0.336202i | ||||||
\(874\) | 11.3849 | − | 19.7486i | 0.385101 | − | 0.668007i | ||||
\(875\) | 30.6681i | 1.03677i | ||||||||
\(876\) | 2.20466 | + | 7.23378i | 0.0744887 | + | 0.244407i | ||||
\(877\) | 5.58895 | − | 38.8720i | 0.188726 | − | 1.31261i | −0.646587 | − | 0.762840i | \(-0.723804\pi\) |
0.835313 | − | 0.549775i | \(-0.185287\pi\) | |||||||
\(878\) | −33.7664 | − | 21.4570i | −1.13956 | − | 0.724140i | ||||
\(879\) | 28.1056 | − | 8.25256i | 0.947979 | − | 0.278352i | ||||
\(880\) | −6.31307 | − | 0.776205i | −0.212814 | − | 0.0261659i | ||||
\(881\) | −17.9126 | + | 15.5213i | −0.603490 | + | 0.522927i | −0.902144 | − | 0.431434i | \(-0.858008\pi\) |
0.298655 | + | 0.954361i | \(0.403462\pi\) | |||||||
\(882\) | 0.000786067 | 0.153665i | 2.64682e−5 | 0.00517417i | ||||||
\(883\) | 1.25426 | − | 4.27163i | 0.0422093 | − | 0.143752i | −0.935692 | − | 0.352817i | \(-0.885224\pi\) |
0.977902 | + | 0.209065i | \(0.0670421\pi\) | |||||||
\(884\) | 0.662355 | + | 1.00782i | 0.0222774 | + | 0.0338968i | ||||
\(885\) | −6.37797 | + | 9.92432i | −0.214393 | + | 0.333602i | ||||
\(886\) | 14.6377 | − | 17.0685i | 0.491764 | − | 0.573427i | ||||
\(887\) | 27.6293 | + | 23.9409i | 0.927702 | + | 0.803858i | 0.980857 | − | 0.194728i | \(-0.0623825\pi\) |
−0.0531555 | + | 0.998586i | \(0.516928\pi\) | |||||||
\(888\) | −21.4597 | − | 18.0258i | −0.720139 | − | 0.604907i | ||||
\(889\) | 42.2036 | − | 6.06796i | 1.41546 | − | 0.203513i | ||||
\(890\) | −11.3334 | − | 17.4384i | −0.379898 | − | 0.584537i | ||||
\(891\) | 0.451186 | + | 0.987959i | 0.0151153 | + | 0.0330979i | ||||
\(892\) | 0.586698 | + | 57.3441i | 0.0196441 | + | 1.92002i | ||||
\(893\) | 18.7347 | + | 8.55587i | 0.626934 | + | 0.286311i | ||||
\(894\) | 4.07834 | − | 14.1571i | 0.136400 | − | 0.473483i | ||||
\(895\) | −4.21199 | + | 2.70688i | −0.140791 | + | 0.0904812i | ||||
\(896\) | 17.2063 | + | 24.7760i | 0.574821 | + | 0.827709i | ||||
\(897\) | 5.34024 | − | 1.00450i | 0.178305 | − | 0.0335393i | ||||
\(898\) | 35.2567 | + | 4.88519i | 1.17653 | + | 0.163021i | ||||
\(899\) | −4.92514 | − | 7.66367i | −0.164263 | − | 0.255598i | ||||
\(900\) | 2.31994 | − | 5.22067i | 0.0773315 | − | 0.174022i | ||||
\(901\) | −0.235301 | + | 0.515236i | −0.00783900 | + | 0.0171650i | ||||
\(902\) | 2.71108 | − | 0.403960i | 0.0902691 | − | 0.0134504i | ||||
\(903\) | 13.9508 | − | 6.37112i | 0.464253 | − | 0.212017i | ||||
\(904\) | −21.2652 | + | 6.60014i | −0.707271 | + | 0.219518i | ||||
\(905\) | −0.307825 | − | 2.14097i | −0.0102325 | − | 0.0711683i | ||||
\(906\) | 5.79126 | + | 2.60906i | 0.192402 | + | 0.0866802i | ||||
\(907\) | 13.0006 | − | 15.0035i | 0.431679 | − | 0.498184i | −0.497681 | − | 0.867360i | \(-0.665815\pi\) |
0.929359 | + | 0.369177i | \(0.120360\pi\) | |||||||
\(908\) | −16.7413 | − | 18.9258i | −0.555580 | − | 0.628073i | ||||
\(909\) | −7.40867 | − | 4.76126i | −0.245730 | − | 0.157921i | ||||
\(910\) | −4.12023 | − | 4.70614i | −0.136584 | − | 0.156007i | ||||
\(911\) | −1.18433 | − | 0.347752i | −0.0392387 | − | 0.0115215i | 0.262054 | − | 0.965053i | \(-0.415600\pi\) |
−0.301293 | + | 0.953532i | \(0.597418\pi\) | |||||||
\(912\) | 12.3407 | + | 5.33342i | 0.408642 | + | 0.176607i | ||||
\(913\) | −11.1949 | − | 12.9196i | −0.370498 | − | 0.427578i | ||||
\(914\) | −28.4000 | + | 8.49703i | −0.939388 | + | 0.281057i | ||||
\(915\) | −2.16437 | − | 7.37116i | −0.0715518 | − | 0.243683i | ||||
\(916\) | 37.4250 | + | 31.7645i | 1.23656 | + | 1.04953i | ||||
\(917\) | −4.45251 | − | 0.640174i | −0.147035 | − | 0.0211404i | ||||
\(918\) | −0.683010 | + | 0.316153i | −0.0225427 | + | 0.0104346i | ||||
\(919\) | 14.4334 | 0.476114 | 0.238057 | − | 0.971251i | \(-0.423489\pi\) | ||||
0.238057 | + | 0.971251i | \(0.423489\pi\) | |||||||
\(920\) | −17.3060 | − | 9.74228i | −0.570563 | − | 0.321193i | ||||
\(921\) | −10.0013 | −0.329554 | ||||||||
\(922\) | −5.00706 | + | 2.31768i | −0.164899 | + | 0.0763286i | ||||
\(923\) | −11.7202 | − | 1.68511i | −0.385776 | − | 0.0554662i | ||||
\(924\) | 4.41556 | + | 3.74770i | 0.145261 | + | 0.123290i | ||||
\(925\) | 7.97405 | + | 27.1571i | 0.262185 | + | 0.892921i | ||||
\(926\) | −28.5703 | + | 8.54799i | −0.938878 | + | 0.280904i | ||||
\(927\) | −6.21189 | − | 7.16890i | −0.204025 | − | 0.235458i | ||||
\(928\) | 25.5903 | − | 42.1519i | 0.840043 | − | 1.38370i | ||||
\(929\) | 3.66860 | + | 1.07720i | 0.120363 | + | 0.0353417i | 0.341359 | − | 0.939933i | \(-0.389113\pi\) |
−0.220996 | + | 0.975275i | \(0.570931\pi\) | |||||||
\(930\) | −1.42533 | − | 1.62801i | −0.0467383 | − | 0.0533847i | ||||
\(931\) | 0.307226 | + | 0.197442i | 0.0100689 | + | 0.00647091i | ||||
\(932\) | 31.8355 | + | 35.9895i | 1.04281 | + | 1.17887i | ||||
\(933\) | 5.12399 | − | 5.91340i | 0.167752 | − | 0.193596i | ||||
\(934\) | 34.8973 | + | 15.7218i | 1.14187 | + | 0.514433i | ||||
\(935\) | −0.120436 | − | 0.837652i | −0.00393868 | − | 0.0273941i | ||||
\(936\) | 0.949959 | + | 3.06070i | 0.0310504 | + | 0.100042i | ||||
\(937\) | 17.5321 | − | 8.00665i | 0.572749 | − | 0.261566i | −0.107916 | − | 0.994160i | \(-0.534418\pi\) |
0.680666 | + | 0.732594i | \(0.261691\pi\) | |||||||
\(938\) | 11.8826 | − | 1.77055i | 0.387982 | − | 0.0578106i | ||||
\(939\) | 2.78395 | − | 6.09600i | 0.0908507 | − | 0.198935i | ||||
\(940\) | 7.28670 | − | 16.3976i | 0.237666 | − | 0.534829i | ||||
\(941\) | 16.4766 | + | 25.6381i | 0.537122 | + | 0.835778i | 0.998682 | − | 0.0513313i | \(-0.0163464\pi\) |
−0.461560 | + | 0.887109i | \(0.652710\pi\) | |||||||
\(942\) | 17.0126 | + | 2.35728i | 0.554300 | + | 0.0768043i | ||||
\(943\) | 8.30793 | + | 2.05486i | 0.270543 | + | 0.0669155i | ||||
\(944\) | 16.8668 | − | 27.4649i | 0.548966 | − | 0.893908i | ||||
\(945\) | 3.28387 | − | 2.11042i | 0.106824 | − | 0.0686519i | ||||
\(946\) | 2.44583 | − | 8.49015i | 0.0795208 | − | 0.276039i | ||||
\(947\) | −37.9832 | − | 17.3463i | −1.23429 | − | 0.563680i | −0.311962 | − | 0.950095i | \(-0.600986\pi\) |
−0.922325 | + | 0.386415i | \(0.873713\pi\) | |||||||
\(948\) | 0.331032 | + | 32.3552i | 0.0107514 | + | 1.05085i | ||||
\(949\) | 1.77972 | + | 3.89705i | 0.0577723 | + | 0.126504i | ||||
\(950\) | −7.39870 | − | 11.3841i | −0.240045 | − | 0.369350i | ||||
\(951\) | 3.30106 | − | 0.474621i | 0.107044 | − | 0.0153906i | ||||
\(952\) | −2.58133 | + | 3.07306i | −0.0836614 | + | 0.0995984i | ||||
\(953\) | 13.2583 | + | 11.4883i | 0.429477 | + | 0.372144i | 0.842608 | − | 0.538528i | \(-0.181019\pi\) |
−0.413131 | + | 0.910672i | \(0.635565\pi\) | |||||||
\(954\) | −0.979850 | + | 1.14257i | −0.0317238 | + | 0.0369919i | ||||
\(955\) | 1.09091 | − | 1.69749i | 0.0353010 | − | 0.0549294i | ||||
\(956\) | −17.1851 | − | 26.1484i | −0.555806 | − | 0.845700i | ||||
\(957\) | 2.66738 | − | 9.08428i | 0.0862243 | − | 0.293653i | ||||
\(958\) | −0.263116 | − | 51.4355i | −0.00850091 | − | 1.66181i | ||||
\(959\) | −12.8159 | + | 11.1051i | −0.413848 | + | 0.358601i | ||||
\(960\) | 4.53637 | − | 10.7985i | 0.146411 | − | 0.348520i | ||||
\(961\) | −28.6964 | + | 8.42602i | −0.925690 | + | 0.271807i | ||||
\(962\) | −13.4005 | − | 8.51546i | −0.432051 | − | 0.274549i | ||||
\(963\) | −1.90193 | + | 13.2282i | −0.0612888 | + | 0.426273i | ||||
\(964\) | −5.63489 | − | 18.4888i | −0.181487 | − | 0.595483i | ||||
\(965\) | − | 27.7742i | − | 0.894085i | ||||||
\(966\) | 8.29650 | + | 16.0676i | 0.266935 | + | 0.516965i | ||||
\(967\) | − | 29.7068i | − | 0.955307i | −0.878548 | − | 0.477654i | \(-0.841487\pi\) | ||
0.878548 | − | 0.477654i | \(-0.158513\pi\) | |||||||
\(968\) | −27.4296 | + | 4.37440i | −0.881620 | + | 0.140599i | ||||
\(969\) | −0.254556 | + | 1.77048i | −0.00817752 | + | 0.0568759i | ||||
\(970\) | −11.0312 | + | 17.3594i | −0.354189 | + | 0.557377i | ||||
\(971\) | 24.3762 | − | 7.15750i | 0.782269 | − | 0.229695i | 0.133873 | − | 0.990998i | \(-0.457258\pi\) |
0.648396 | + | 0.761303i | \(0.275440\pi\) | |||||||
\(972\) | −1.97663 | + | 0.304868i | −0.0634004 | + | 0.00977864i | ||||
\(973\) | 41.0727 | − | 35.5897i | 1.31673 | − | 1.14095i | ||||
\(974\) | −39.7927 | + | 0.203558i | −1.27504 | + | 0.00652242i | ||||
\(975\) | 0.911827 | − | 3.10540i | 0.0292018 | − | 0.0994523i | ||||
\(976\) | 6.32404 | + | 20.0134i | 0.202428 | + | 0.640614i | ||||
\(977\) | 8.62210 | − | 13.4162i | 0.275845 | − | 0.429224i | −0.675496 | − | 0.737364i | \(-0.736070\pi\) |
0.951341 | + | 0.308140i | \(0.0997066\pi\) | |||||||
\(978\) | −9.04213 | − | 7.75442i | −0.289135 | − | 0.247959i | ||||
\(979\) | 8.24491 | + | 7.14426i | 0.263509 | + | 0.228331i | ||||
\(980\) | 0.169269 | − | 0.269409i | 0.00540710 | − | 0.00860594i | ||||
\(981\) | 7.62131 | − | 1.09578i | 0.243330 | − | 0.0349855i | ||||
\(982\) | 3.12065 | − | 2.02815i | 0.0995840 | − | 0.0647209i | ||||
\(983\) | 12.2853 | + | 26.9011i | 0.391841 | + | 0.858011i | 0.998033 | + | 0.0626931i | \(0.0199689\pi\) |
−0.606192 | + | 0.795318i | \(0.707304\pi\) | |||||||
\(984\) | −0.641568 | + | 5.00646i | −0.0204524 | + | 0.159600i | ||||
\(985\) | −8.70191 | − | 3.97403i | −0.277266 | − | 0.126623i | ||||
\(986\) | 6.30444 | + | 1.81617i | 0.200774 | + | 0.0578387i | ||||
\(987\) | −13.7448 | + | 8.83321i | −0.437500 | + | 0.281164i | ||||
\(988\) | 7.32933 | + | 2.07088i | 0.233177 | + | 0.0658834i | ||||
\(989\) | 17.1499 | − | 21.6083i | 0.545335 | − | 0.687105i | ||||
\(990\) | 0.308649 | − | 2.22753i | 0.00980951 | − | 0.0707957i | ||||
\(991\) | −20.2869 | − | 31.5671i | −0.644436 | − | 1.00276i | −0.997736 | − | 0.0672517i | \(-0.978577\pi\) |
0.353300 | − | 0.935510i | \(-0.385059\pi\) | |||||||
\(992\) | 3.98431 | + | 4.36727i | 0.126502 | + | 0.138661i | ||||
\(993\) | −14.3820 | + | 31.4923i | −0.456400 | + | 0.999377i | ||||
\(994\) | −5.80722 | − | 38.9738i | −0.184194 | − | 1.23617i | ||||
\(995\) | 17.3616 | − | 7.92877i | 0.550399 | − | 0.251359i | ||||
\(996\) | 28.4996 | − | 13.3694i | 0.903044 | − | 0.423625i | ||||
\(997\) | 3.61588 | + | 25.1490i | 0.114516 | + | 0.796478i | 0.963433 | + | 0.267951i | \(0.0863464\pi\) |
−0.848916 | + | 0.528527i | \(0.822744\pi\) | |||||||
\(998\) | −0.193923 | + | 0.430445i | −0.00613851 | + | 0.0136255i | ||||
\(999\) | 6.48877 | − | 7.48844i | 0.205296 | − | 0.236924i |
(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 | 276.2.m.a.103.22 | yes | 240 | |
3.2 | odd | 2 | 828.2.u.c.379.3 | 240 | |||
4.3 | odd | 2 | inner | 276.2.m.a.103.17 | yes | 240 | |
12.11 | even | 2 | 828.2.u.c.379.8 | 240 | |||
23.21 | odd | 22 | inner | 276.2.m.a.67.17 | ✓ | 240 | |
69.44 | even | 22 | 828.2.u.c.343.8 | 240 | |||
92.67 | even | 22 | inner | 276.2.m.a.67.22 | yes | 240 | |
276.251 | odd | 22 | 828.2.u.c.343.3 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.m.a.67.17 | ✓ | 240 | 23.21 | odd | 22 | inner | |
276.2.m.a.67.22 | yes | 240 | 92.67 | even | 22 | inner | |
276.2.m.a.103.17 | yes | 240 | 4.3 | odd | 2 | inner | |
276.2.m.a.103.22 | yes | 240 | 1.1 | even | 1 | trivial | |
828.2.u.c.343.3 | 240 | 276.251 | odd | 22 | |||
828.2.u.c.343.8 | 240 | 69.44 | even | 22 | |||
828.2.u.c.379.3 | 240 | 3.2 | odd | 2 | |||
828.2.u.c.379.8 | 240 | 12.11 | even | 2 |