Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 11.27 | ||
Character | \(\chi\) | \(=\) | 384.11 |
Dual form | 384.2.w.a.35.27 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{21}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.243011 | − | 1.39318i | −0.171835 | − | 0.985126i | ||||
\(3\) | 1.02199 | + | 1.39840i | 0.590046 | + | 0.807369i | ||||
\(4\) | −1.88189 | + | 0.677116i | −0.940945 | + | 0.338558i | ||||
\(5\) | −1.50312 | − | 0.803437i | −0.672218 | − | 0.359308i | 0.0997115 | − | 0.995016i | \(-0.468208\pi\) |
−0.771929 | + | 0.635709i | \(0.780708\pi\) | |||||||
\(6\) | 1.69987 | − | 1.76364i | 0.693970 | − | 0.720004i | ||||
\(7\) | −3.65245 | − | 0.726518i | −1.38050 | − | 0.274598i | −0.551652 | − | 0.834074i | \(-0.686002\pi\) |
−0.828846 | + | 0.559476i | \(0.811002\pi\) | |||||||
\(8\) | 1.40066 | + | 2.45726i | 0.495210 | + | 0.868774i | ||||
\(9\) | −0.911072 | + | 2.85831i | −0.303691 | + | 0.952771i | ||||
\(10\) | −0.754054 | + | 2.28936i | −0.238453 | + | 0.723961i | ||||
\(11\) | 0.268604 | − | 0.220438i | 0.0809873 | − | 0.0664645i | −0.593029 | − | 0.805181i | \(-0.702068\pi\) |
0.674016 | + | 0.738717i | \(0.264568\pi\) | |||||||
\(12\) | −2.87016 | − | 1.93964i | −0.828543 | − | 0.559926i | ||||
\(13\) | −3.02112 | + | 1.61482i | −0.837909 | + | 0.447872i | −0.833765 | − | 0.552120i | \(-0.813819\pi\) |
−0.00414434 | + | 0.999991i | \(0.501319\pi\) | |||||||
\(14\) | −0.124582 | + | 5.26507i | −0.0332959 | + | 1.40715i | ||||
\(15\) | −0.412649 | − | 2.92308i | −0.106545 | − | 0.754736i | ||||
\(16\) | 3.08303 | − | 2.54852i | 0.770757 | − | 0.637129i | ||||
\(17\) | −1.39276 | + | 0.576900i | −0.337794 | + | 0.139919i | −0.545131 | − | 0.838351i | \(-0.683520\pi\) |
0.207338 | + | 0.978269i | \(0.433520\pi\) | |||||||
\(18\) | 4.20354 | + | 0.574684i | 0.990784 | + | 0.135454i | ||||
\(19\) | −1.97368 | + | 6.50636i | −0.452794 | + | 1.49266i | 0.372541 | + | 0.928016i | \(0.378487\pi\) |
−0.825334 | + | 0.564644i | \(0.809013\pi\) | |||||||
\(20\) | 3.37274 | + | 0.494190i | 0.754167 | + | 0.110504i | ||||
\(21\) | −2.71681 | − | 5.85011i | −0.592856 | − | 1.27660i | ||||
\(22\) | −0.372383 | − | 0.320645i | −0.0793924 | − | 0.0683617i | ||||
\(23\) | 0.914344 | + | 0.610945i | 0.190654 | + | 0.127391i | 0.647234 | − | 0.762292i | \(-0.275926\pi\) |
−0.456580 | + | 0.889682i | \(0.650926\pi\) | |||||||
\(24\) | −2.00478 | + | 4.46999i | −0.409225 | + | 0.912434i | ||||
\(25\) | −1.16398 | − | 1.74202i | −0.232796 | − | 0.348403i | ||||
\(26\) | 2.98391 | + | 3.81654i | 0.585192 | + | 0.748486i | ||||
\(27\) | −4.92818 | + | 1.64712i | −0.948429 | + | 0.316988i | ||||
\(28\) | 7.36546 | − | 1.10591i | 1.39194 | − | 0.208997i | ||||
\(29\) | −4.31999 | − | 3.54533i | −0.802203 | − | 0.658351i | 0.141207 | − | 0.989980i | \(-0.454902\pi\) |
−0.943410 | + | 0.331629i | \(0.892402\pi\) | |||||||
\(30\) | −3.97209 | + | 1.28523i | −0.725202 | + | 0.234651i | ||||
\(31\) | −3.43730 | + | 3.43730i | −0.617357 | + | 0.617357i | −0.944853 | − | 0.327496i | \(-0.893795\pi\) |
0.327496 | + | 0.944853i | \(0.393795\pi\) | |||||||
\(32\) | −4.29975 | − | 3.67589i | −0.760096 | − | 0.649811i | ||||
\(33\) | 0.582773 | + | 0.150332i | 0.101448 | + | 0.0261695i | ||||
\(34\) | 1.14218 | + | 1.80017i | 0.195882 | + | 0.308726i | ||||
\(35\) | 4.90638 | + | 4.02656i | 0.829330 | + | 0.680614i | ||||
\(36\) | −0.220871 | − | 5.99593i | −0.0368118 | − | 0.999322i | ||||
\(37\) | −0.563982 | − | 1.85920i | −0.0927181 | − | 0.305651i | 0.898299 | − | 0.439384i | \(-0.144803\pi\) |
−0.991017 | + | 0.133734i | \(0.957303\pi\) | |||||||
\(38\) | 9.54414 | + | 1.16857i | 1.54826 | + | 0.189567i | ||||
\(39\) | −5.34574 | − | 2.57442i | −0.856003 | − | 0.412237i | ||||
\(40\) | −0.131118 | − | 4.81892i | −0.0207316 | − | 0.761938i | ||||
\(41\) | −2.77860 | − | 1.85660i | −0.433944 | − | 0.289952i | 0.319349 | − | 0.947637i | \(-0.396536\pi\) |
−0.753293 | + | 0.657685i | \(0.771536\pi\) | |||||||
\(42\) | −7.49002 | + | 5.20664i | −1.15574 | + | 0.803402i | ||||
\(43\) | 0.0702048 | − | 0.712801i | 0.0107061 | − | 0.108701i | −0.988346 | − | 0.152221i | \(-0.951357\pi\) |
0.999053 | + | 0.0435203i | \(0.0138573\pi\) | |||||||
\(44\) | −0.356222 | + | 0.596717i | −0.0537025 | + | 0.0899584i | ||||
\(45\) | 3.66593 | − | 3.56441i | 0.546484 | − | 0.531351i | ||||
\(46\) | 0.628959 | − | 1.42231i | 0.0927350 | − | 0.209708i | ||||
\(47\) | 10.4552 | − | 4.33067i | 1.52504 | − | 0.631693i | 0.546447 | − | 0.837494i | \(-0.315980\pi\) |
0.978594 | + | 0.205801i | \(0.0659799\pi\) | |||||||
\(48\) | 6.71468 | + | 1.70676i | 0.969181 | + | 0.246350i | ||||
\(49\) | 6.34544 | + | 2.62837i | 0.906492 | + | 0.375481i | ||||
\(50\) | −2.14408 | + | 2.04496i | −0.303219 | + | 0.289201i | ||||
\(51\) | −2.23012 | − | 1.35805i | −0.312280 | − | 0.190166i | ||||
\(52\) | 4.59200 | − | 5.08458i | 0.636796 | − | 0.705104i | ||||
\(53\) | 4.02835 | − | 3.30598i | 0.553337 | − | 0.454112i | −0.315700 | − | 0.948859i | \(-0.602239\pi\) |
0.869037 | + | 0.494747i | \(0.164739\pi\) | |||||||
\(54\) | 3.49234 | + | 6.46557i | 0.475247 | + | 0.879853i | ||||
\(55\) | −0.580854 | + | 0.115539i | −0.0783223 | + | 0.0155793i | ||||
\(56\) | −3.33062 | − | 9.99265i | −0.445072 | − | 1.33532i | ||||
\(57\) | −11.1156 | + | 3.88943i | −1.47230 | + | 0.515167i | ||||
\(58\) | −3.88946 | + | 6.88007i | −0.510712 | + | 0.903398i | ||||
\(59\) | 9.03450 | + | 4.82904i | 1.17619 | + | 0.628687i | 0.939383 | − | 0.342869i | \(-0.111399\pi\) |
0.236808 | + | 0.971556i | \(0.423899\pi\) | |||||||
\(60\) | 2.75583 | + | 5.22151i | 0.355776 | + | 0.674094i | ||||
\(61\) | 0.714903 | + | 7.25854i | 0.0915340 | + | 0.929360i | 0.925804 | + | 0.378004i | \(0.123389\pi\) |
−0.834270 | + | 0.551356i | \(0.814111\pi\) | |||||||
\(62\) | 5.62407 | + | 3.95347i | 0.714258 | + | 0.502091i | ||||
\(63\) | 5.40427 | − | 9.77794i | 0.680874 | − | 1.23191i | ||||
\(64\) | −4.07628 | + | 6.88360i | −0.509535 | + | 0.860450i | ||||
\(65\) | 5.83854 | 0.724181 | ||||||||
\(66\) | 0.0678193 | − | 0.848439i | 0.00834798 | − | 0.104436i | ||||
\(67\) | 14.0707 | − | 1.38584i | 1.71900 | − | 0.169307i | 0.810095 | − | 0.586299i | \(-0.199416\pi\) |
0.908910 | + | 0.416992i | \(0.136916\pi\) | |||||||
\(68\) | 2.23039 | − | 2.02872i | 0.270475 | − | 0.246019i | ||||
\(69\) | 0.0801020 | + | 1.90300i | 0.00964315 | + | 0.229095i | ||||
\(70\) | 4.41741 | − | 7.81397i | 0.527982 | − | 0.933948i | ||||
\(71\) | −6.46343 | − | 1.28566i | −0.767068 | − | 0.152579i | −0.203979 | − | 0.978975i | \(-0.565387\pi\) |
−0.563089 | + | 0.826396i | \(0.690387\pi\) | |||||||
\(72\) | −8.29973 | + | 1.76479i | −0.978132 | + | 0.207983i | ||||
\(73\) | 1.26066 | + | 6.33775i | 0.147549 | + | 0.741777i | 0.981729 | + | 0.190285i | \(0.0609413\pi\) |
−0.834180 | + | 0.551492i | \(0.814059\pi\) | |||||||
\(74\) | −2.45314 | + | 1.23753i | −0.285172 | + | 0.143860i | ||||
\(75\) | 1.24647 | − | 3.40804i | 0.143930 | − | 0.393526i | ||||
\(76\) | −0.691306 | − | 13.5807i | −0.0792982 | − | 1.55781i | ||||
\(77\) | −1.14122 | + | 0.609994i | −0.130054 | + | 0.0695152i | ||||
\(78\) | −2.28755 | + | 8.07318i | −0.259014 | + | 0.914108i | ||||
\(79\) | −2.19712 | + | 5.30432i | −0.247196 | + | 0.596783i | −0.997964 | − | 0.0637827i | \(-0.979684\pi\) |
0.750768 | + | 0.660566i | \(0.229684\pi\) | |||||||
\(80\) | −6.68175 | + | 1.35372i | −0.747042 | + | 0.151351i | ||||
\(81\) | −7.33990 | − | 5.20826i | −0.815544 | − | 0.578695i | ||||
\(82\) | −1.91134 | + | 4.32226i | −0.211073 | + | 0.477314i | ||||
\(83\) | 1.87124 | − | 6.16865i | 0.205395 | − | 0.677097i | −0.792355 | − | 0.610060i | \(-0.791145\pi\) |
0.997750 | − | 0.0670373i | \(-0.0213547\pi\) | |||||||
\(84\) | 9.07393 | + | 9.16967i | 0.990047 | + | 1.00049i | ||||
\(85\) | 2.55699 | + | 0.251842i | 0.277345 | + | 0.0273161i | ||||
\(86\) | −1.01012 | + | 0.0754110i | −0.108924 | + | 0.00813178i | ||||
\(87\) | 0.542811 | − | 9.66439i | 0.0581955 | − | 1.03613i | ||||
\(88\) | 0.917899 | + | 0.351272i | 0.0978483 | + | 0.0374457i | ||||
\(89\) | −8.60696 | − | 12.8812i | −0.912336 | − | 1.36541i | −0.930781 | − | 0.365577i | \(-0.880872\pi\) |
0.0184455 | − | 0.999830i | \(-0.494128\pi\) | |||||||
\(90\) | −5.85672 | − | 4.24110i | −0.617353 | − | 0.447051i | ||||
\(91\) | 12.2077 | − | 3.70317i | 1.27972 | − | 0.388198i | ||||
\(92\) | −2.13438 | − | 0.530615i | −0.222524 | − | 0.0553204i | ||||
\(93\) | −8.31962 | − | 1.29385i | −0.862704 | − | 0.134166i | ||||
\(94\) | −8.57411 | − | 13.5135i | −0.884352 | − | 1.39381i | ||||
\(95\) | 8.19413 | − | 8.19413i | 0.840700 | − | 0.840700i | ||||
\(96\) | 0.746077 | − | 9.76951i | 0.0761461 | − | 0.997097i | ||||
\(97\) | −10.2698 | − | 10.2698i | −1.04274 | − | 1.04274i | −0.999045 | − | 0.0436927i | \(-0.986088\pi\) |
−0.0436927 | − | 0.999045i | \(-0.513912\pi\) | |||||||
\(98\) | 2.11977 | − | 9.47905i | 0.214129 | − | 0.957529i | ||||
\(99\) | 0.385362 | + | 0.968590i | 0.0387304 | + | 0.0973470i | ||||
\(100\) | 3.37003 | + | 2.49014i | 0.337003 | + | 0.249014i | ||||
\(101\) | 2.79516 | + | 9.21440i | 0.278129 | + | 0.916867i | 0.979049 | + | 0.203627i | \(0.0652730\pi\) |
−0.700920 | + | 0.713240i | \(0.747227\pi\) | |||||||
\(102\) | −1.35007 | + | 3.43698i | −0.133677 | + | 0.340312i | ||||
\(103\) | −12.1996 | + | 8.15150i | −1.20206 | + | 0.803191i | −0.984930 | − | 0.172951i | \(-0.944670\pi\) |
−0.217130 | + | 0.976143i | \(0.569670\pi\) | |||||||
\(104\) | −8.19963 | − | 5.16187i | −0.804040 | − | 0.506163i | ||||
\(105\) | −0.616492 | + | 10.9762i | −0.0601634 | + | 1.07117i | ||||
\(106\) | −5.58476 | − | 4.80882i | −0.542440 | − | 0.467074i | ||||
\(107\) | −1.35728 | + | 13.7807i | −0.131213 | + | 1.33223i | 0.673776 | + | 0.738936i | \(0.264671\pi\) |
−0.804989 | + | 0.593290i | \(0.797829\pi\) | |||||||
\(108\) | 8.15901 | − | 6.43665i | 0.785101 | − | 0.619367i | ||||
\(109\) | −10.2101 | − | 3.09721i | −0.977954 | − | 0.296659i | −0.239450 | − | 0.970909i | \(-0.576967\pi\) |
−0.738503 | + | 0.674250i | \(0.764467\pi\) | |||||||
\(110\) | 0.302121 | + | 0.781156i | 0.0288061 | + | 0.0744803i | ||||
\(111\) | 2.02353 | − | 2.68876i | 0.192065 | − | 0.255206i | ||||
\(112\) | −13.1122 | + | 7.06847i | −1.23898 | + | 0.667908i | ||||
\(113\) | −12.3334 | − | 5.10865i | −1.16023 | − | 0.480581i | −0.282276 | − | 0.959333i | \(-0.591089\pi\) |
−0.877950 | + | 0.478752i | \(0.841089\pi\) | |||||||
\(114\) | 8.11988 | + | 14.5408i | 0.760496 | + | 1.36187i | ||||
\(115\) | −0.883517 | − | 1.65294i | −0.0823884 | − | 0.154138i | ||||
\(116\) | 10.5304 | + | 3.74678i | 0.977719 | + | 0.347880i | ||||
\(117\) | −1.86321 | − | 10.1065i | −0.172254 | − | 0.934350i | ||||
\(118\) | 4.53223 | − | 13.7602i | 0.417225 | − | 1.26673i | ||||
\(119\) | 5.50612 | − | 1.09523i | 0.504745 | − | 0.100400i | ||||
\(120\) | 6.60480 | − | 5.10824i | 0.602933 | − | 0.466317i | ||||
\(121\) | −2.12244 | + | 10.6702i | −0.192949 | + | 0.970020i | ||||
\(122\) | 9.93871 | − | 2.75989i | 0.899808 | − | 0.249869i | ||||
\(123\) | −0.243422 | − | 5.78303i | −0.0219486 | − | 0.521439i | ||||
\(124\) | 4.14117 | − | 8.79607i | 0.371888 | − | 0.789910i | ||||
\(125\) | 1.18529 | + | 12.0345i | 0.106016 | + | 1.07640i | ||||
\(126\) | −14.9357 | − | 5.15295i | −1.33058 | − | 0.459062i | ||||
\(127\) | 3.76127i | 0.333759i | 0.985977 | + | 0.166879i | \(0.0533690\pi\) | ||||
−0.985977 | + | 0.166879i | \(0.946631\pi\) | |||||||
\(128\) | 10.5807 | + | 4.00619i | 0.935207 | + | 0.354100i | ||||
\(129\) | 1.06853 | − | 0.630301i | 0.0940791 | − | 0.0554949i | ||||
\(130\) | −1.41883 | − | 8.13412i | −0.124440 | − | 0.713410i | ||||
\(131\) | −10.5819 | + | 1.04222i | −0.924543 | + | 0.0910595i | −0.549072 | − | 0.835775i | \(-0.685019\pi\) |
−0.375471 | + | 0.926834i | \(0.622519\pi\) | |||||||
\(132\) | −1.19851 | + | 0.111696i | −0.104317 | + | 0.00972187i | ||||
\(133\) | 11.9358 | − | 22.3303i | 1.03496 | − | 1.93628i | ||||
\(134\) | −5.35005 | − | 19.2662i | −0.462174 | − | 1.66434i | ||||
\(135\) | 8.73103 | + | 1.48366i | 0.751447 | + | 0.127693i | ||||
\(136\) | −3.36838 | − | 2.61433i | −0.288836 | − | 0.224177i | ||||
\(137\) | 1.94292 | + | 9.76770i | 0.165995 | + | 0.834511i | 0.970599 | + | 0.240700i | \(0.0773771\pi\) |
−0.804605 | + | 0.593810i | \(0.797623\pi\) | |||||||
\(138\) | 2.63176 | − | 0.574048i | 0.224030 | − | 0.0488662i | ||||
\(139\) | 12.1959 | + | 14.8607i | 1.03444 | + | 1.26047i | 0.964824 | + | 0.262898i | \(0.0846782\pi\) |
0.0696184 | + | 0.997574i | \(0.477822\pi\) | |||||||
\(140\) | −11.9597 | − | 4.25536i | −1.01078 | − | 0.359644i | ||||
\(141\) | 16.7411 | + | 10.1946i | 1.40985 | + | 0.858544i | ||||
\(142\) | −0.220461 | + | 9.31714i | −0.0185007 | + | 0.781877i | ||||
\(143\) | −0.455519 | + | 1.09972i | −0.0380924 | + | 0.0919632i | ||||
\(144\) | 4.47560 | + | 11.1341i | 0.372967 | + | 0.927845i | ||||
\(145\) | 3.64504 | + | 8.79991i | 0.302704 | + | 0.730793i | ||||
\(146\) | 8.52326 | − | 3.29646i | 0.705390 | − | 0.272817i | ||||
\(147\) | 2.80946 | + | 11.5597i | 0.231720 | + | 0.953425i | ||||
\(148\) | 2.32025 | + | 3.11693i | 0.190723 | + | 0.256210i | ||||
\(149\) | −13.8192 | − | 1.36107i | −1.13211 | − | 0.111503i | −0.485439 | − | 0.874271i | \(-0.661340\pi\) |
−0.646673 | + | 0.762767i | \(0.723840\pi\) | |||||||
\(150\) | −5.05091 | − | 0.908364i | −0.412405 | − | 0.0741676i | ||||
\(151\) | 11.3538 | − | 16.9922i | 0.923962 | − | 1.38281i | 0.000133188 | − | 1.00000i | \(-0.499958\pi\) |
0.923829 | − | 0.382806i | \(-0.125042\pi\) | |||||||
\(152\) | −18.7523 | + | 4.26337i | −1.52101 | + | 0.345805i | ||||
\(153\) | −0.380055 | − | 4.50654i | −0.0307257 | − | 0.364332i | ||||
\(154\) | 1.12716 | + | 1.44168i | 0.0908290 | + | 0.116174i | ||||
\(155\) | 7.92834 | − | 2.40503i | 0.636819 | − | 0.193177i | ||||
\(156\) | 11.8033 | + | 1.22509i | 0.945019 | + | 0.0980859i | ||||
\(157\) | 0.202264 | − | 0.246460i | 0.0161424 | − | 0.0196696i | −0.764877 | − | 0.644177i | \(-0.777200\pi\) |
0.781019 | + | 0.624507i | \(0.214700\pi\) | |||||||
\(158\) | 7.92379 | + | 1.77197i | 0.630383 | + | 0.140971i | ||||
\(159\) | 8.74004 | + | 2.25459i | 0.693131 | + | 0.178800i | ||||
\(160\) | 3.50972 | + | 8.97989i | 0.277467 | + | 0.709923i | ||||
\(161\) | −2.89574 | − | 2.89574i | −0.228216 | − | 0.228216i | ||||
\(162\) | −5.47235 | + | 11.4914i | −0.429949 | + | 0.902853i | ||||
\(163\) | 5.00481 | − | 6.09838i | 0.392007 | − | 0.477662i | −0.539187 | − | 0.842186i | \(-0.681268\pi\) |
0.931194 | + | 0.364524i | \(0.118768\pi\) | |||||||
\(164\) | 6.48615 | + | 1.61249i | 0.506484 | + | 0.125914i | ||||
\(165\) | −0.755197 | − | 0.694189i | −0.0587920 | − | 0.0540425i | ||||
\(166\) | −9.04876 | − | 1.10792i | −0.702320 | − | 0.0859911i | ||||
\(167\) | −20.8632 | + | 13.9404i | −1.61445 | + | 1.07874i | −0.674034 | + | 0.738700i | \(0.735440\pi\) |
−0.940412 | + | 0.340038i | \(0.889560\pi\) | |||||||
\(168\) | 10.5699 | − | 14.8699i | 0.815486 | − | 1.14724i | ||||
\(169\) | −0.702877 | + | 1.05193i | −0.0540675 | + | 0.0809177i | ||||
\(170\) | −0.270518 | − | 3.62355i | −0.0207478 | − | 0.277913i | ||||
\(171\) | −16.7990 | − | 11.5692i | −1.28465 | − | 0.884715i | ||||
\(172\) | 0.350532 | + | 1.38895i | 0.0267278 | + | 0.105907i | ||||
\(173\) | 22.8213 | + | 6.92277i | 1.73507 | + | 0.526329i | 0.990051 | − | 0.140711i | \(-0.0449389\pi\) |
0.745022 | + | 0.667040i | \(0.232439\pi\) | |||||||
\(174\) | −13.5961 | + | 1.59232i | −1.03072 | + | 0.120714i | ||||
\(175\) | 2.98577 | + | 7.20829i | 0.225703 | + | 0.544896i | ||||
\(176\) | 0.266325 | − | 1.36416i | 0.0200750 | − | 0.102827i | ||||
\(177\) | 2.48022 | + | 17.5691i | 0.186424 | + | 1.32058i | ||||
\(178\) | −15.8542 | + | 15.1213i | −1.18833 | + | 1.13339i | ||||
\(179\) | −10.2660 | − | 19.2063i | −0.767316 | − | 1.43555i | −0.896090 | − | 0.443872i | \(-0.853604\pi\) |
0.128774 | − | 0.991674i | \(-0.458896\pi\) | |||||||
\(180\) | −4.48536 | + | 9.19009i | −0.334319 | + | 0.684989i | ||||
\(181\) | 4.26963 | + | 5.20256i | 0.317359 | + | 0.386703i | 0.907118 | − | 0.420876i | \(-0.138277\pi\) |
−0.589759 | + | 0.807579i | \(0.700777\pi\) | |||||||
\(182\) | −8.12579 | − | 16.1076i | −0.602324 | − | 1.19398i | ||||
\(183\) | −9.41975 | + | 8.41788i | −0.696328 | + | 0.622267i | ||||
\(184\) | −0.220563 | + | 3.10251i | −0.0162602 | + | 0.228720i | ||||
\(185\) | −0.646014 | + | 3.24773i | −0.0474959 | + | 0.238778i | ||||
\(186\) | 0.219199 | + | 11.9051i | 0.0160725 | + | 0.872926i | ||||
\(187\) | −0.246931 | + | 0.461975i | −0.0180574 | + | 0.0337829i | ||||
\(188\) | −16.7431 | + | 15.2292i | −1.22112 | + | 1.11070i | ||||
\(189\) | 19.1966 | − | 2.43561i | 1.39635 | − | 0.177165i | ||||
\(190\) | −13.4072 | − | 9.42462i | −0.972657 | − | 0.683734i | ||||
\(191\) | 13.7428i | 0.994391i | 0.867638 | + | 0.497196i | \(0.165637\pi\) | ||||
−0.867638 | + | 0.497196i | \(0.834363\pi\) | |||||||
\(192\) | −13.7920 | + | 1.33468i | −0.995350 | + | 0.0963226i | ||||
\(193\) | − | 1.68261i | − | 0.121117i | −0.998165 | − | 0.0605586i | \(-0.980712\pi\) | ||
0.998165 | − | 0.0605586i | \(-0.0192882\pi\) | |||||||
\(194\) | −11.8120 | + | 16.8033i | −0.848049 | + | 1.20641i | ||||
\(195\) | 5.96693 | + | 8.16464i | 0.427301 | + | 0.584682i | ||||
\(196\) | −13.7211 | − | 0.649700i | −0.980081 | − | 0.0464072i | ||||
\(197\) | 3.87653 | − | 7.25248i | 0.276191 | − | 0.516718i | −0.705134 | − | 0.709074i | \(-0.749113\pi\) |
0.981325 | + | 0.192357i | \(0.0616131\pi\) | |||||||
\(198\) | 1.25577 | − | 0.772257i | 0.0892438 | − | 0.0548819i | ||||
\(199\) | −2.50324 | + | 12.5846i | −0.177450 | + | 0.892100i | 0.784762 | + | 0.619797i | \(0.212785\pi\) |
−0.962212 | + | 0.272303i | \(0.912215\pi\) | |||||||
\(200\) | 2.65025 | − | 5.30018i | 0.187401 | − | 0.374780i | ||||
\(201\) | 16.3180 | + | 18.2602i | 1.15099 | + | 1.28797i | ||||
\(202\) | 12.1580 | − | 6.13336i | 0.855437 | − | 0.431541i | ||||
\(203\) | 13.2028 | + | 16.0877i | 0.926657 | + | 1.12914i | ||||
\(204\) | 5.11641 | + | 1.04566i | 0.358221 | + | 0.0732107i | ||||
\(205\) | 2.68492 | + | 5.02313i | 0.187523 | + | 0.350831i | ||||
\(206\) | 14.3211 | + | 15.0153i | 0.997801 | + | 1.04616i | ||||
\(207\) | −2.57931 | + | 2.05687i | −0.179274 | + | 0.142962i | ||||
\(208\) | −5.19880 | + | 12.6779i | −0.360472 | + | 0.879057i | ||||
\(209\) | 0.904108 | + | 2.18271i | 0.0625385 | + | 0.150981i | ||||
\(210\) | 15.4416 | − | 1.80846i | 1.06557 | − | 0.124796i | ||||
\(211\) | 5.84223 | + | 1.77222i | 0.402195 | + | 0.122005i | 0.484900 | − | 0.874569i | \(-0.338856\pi\) |
−0.0827049 | + | 0.996574i | \(0.526356\pi\) | |||||||
\(212\) | −5.34239 | + | 8.94917i | −0.366917 | + | 0.614631i | ||||
\(213\) | −4.80770 | − | 10.3524i | −0.329418 | − | 0.709336i | ||||
\(214\) | 19.5287 | − | 1.45793i | 1.33496 | − | 0.0996619i | ||||
\(215\) | −0.678217 | + | 1.01502i | −0.0462540 | + | 0.0692241i | ||||
\(216\) | −10.9501 | − | 9.80278i | −0.745062 | − | 0.666995i | ||||
\(217\) | 15.0518 | − | 10.0573i | 1.02178 | − | 0.682735i | ||||
\(218\) | −1.83379 | + | 14.9772i | −0.124200 | + | 1.01438i | ||||
\(219\) | −7.57436 | + | 8.24002i | −0.511828 | + | 0.556809i | ||||
\(220\) | 1.01487 | − | 0.610737i | 0.0684225 | − | 0.0411759i | ||||
\(221\) | 3.27611 | − | 3.99195i | 0.220375 | − | 0.268527i | ||||
\(222\) | −4.23766 | − | 2.16574i | −0.284413 | − | 0.145355i | ||||
\(223\) | −18.2329 | − | 18.2329i | −1.22096 | − | 1.22096i | −0.967289 | − | 0.253675i | \(-0.918360\pi\) |
−0.253675 | − | 0.967289i | \(-0.581640\pi\) | |||||||
\(224\) | 13.0340 | + | 16.5499i | 0.870874 | + | 1.10578i | ||||
\(225\) | 6.03970 | − | 1.73991i | 0.402646 | − | 0.115994i | ||||
\(226\) | −4.12011 | + | 18.4240i | −0.274066 | + | 1.22555i | ||||
\(227\) | −5.58623 | + | 6.80684i | −0.370771 | + | 0.451786i | −0.924654 | − | 0.380809i | \(-0.875646\pi\) |
0.553883 | + | 0.832595i | \(0.313146\pi\) | |||||||
\(228\) | 18.2848 | − | 14.8460i | 1.21094 | − | 0.983202i | ||||
\(229\) | 0.0280606 | − | 0.00851208i | 0.00185429 | − | 0.000562494i | −0.289357 | − | 0.957221i | \(-0.593442\pi\) |
0.291212 | + | 0.956659i | \(0.405942\pi\) | |||||||
\(230\) | −2.08814 | + | 1.63258i | −0.137688 | + | 0.107649i | ||||
\(231\) | −2.01933 | − | 0.972477i | −0.132862 | − | 0.0639843i | ||||
\(232\) | 2.66094 | − | 15.5812i | 0.174699 | − | 1.02295i | ||||
\(233\) | −5.64003 | + | 8.44090i | −0.369490 | + | 0.552981i | −0.968897 | − | 0.247463i | \(-0.920403\pi\) |
0.599407 | + | 0.800444i | \(0.295403\pi\) | |||||||
\(234\) | −13.6274 | + | 5.05179i | −0.890853 | + | 0.330246i | ||||
\(235\) | −19.1948 | − | 1.89052i | −1.25213 | − | 0.123324i | ||||
\(236\) | −20.2718 | − | 2.97032i | −1.31958 | − | 0.193351i | ||||
\(237\) | −9.66303 | + | 2.34850i | −0.627681 | + | 0.152551i | ||||
\(238\) | −2.86391 | − | 7.40485i | −0.185639 | − | 0.479985i | ||||
\(239\) | 5.44498 | + | 13.1454i | 0.352207 | + | 0.850302i | 0.996347 | + | 0.0853949i | \(0.0272152\pi\) |
−0.644141 | + | 0.764907i | \(0.722785\pi\) | |||||||
\(240\) | −8.72173 | − | 7.96030i | −0.562985 | − | 0.513835i | ||||
\(241\) | 2.94459 | − | 7.10886i | 0.189677 | − | 0.457922i | −0.800220 | − | 0.599706i | \(-0.795284\pi\) |
0.989898 | + | 0.141785i | \(0.0452840\pi\) | |||||||
\(242\) | 15.3813 | + | 0.363951i | 0.988747 | + | 0.0233956i | ||||
\(243\) | −0.218050 | − | 15.5869i | −0.0139879 | − | 0.999902i | ||||
\(244\) | −6.26024 | − | 13.1757i | −0.400771 | − | 0.843488i | ||||
\(245\) | −7.42626 | − | 9.04892i | −0.474446 | − | 0.578115i | ||||
\(246\) | −7.99764 | + | 1.74447i | −0.509911 | + | 0.111224i | ||||
\(247\) | −4.54389 | − | 22.8437i | −0.289121 | − | 1.45351i | ||||
\(248\) | −13.2608 | − | 3.63184i | −0.842064 | − | 0.230622i | ||||
\(249\) | 10.5387 | − | 3.68755i | 0.667860 | − | 0.233689i | ||||
\(250\) | 16.4782 | − | 4.57584i | 1.04217 | − | 0.289402i | ||||
\(251\) | −8.98371 | + | 16.8073i | −0.567047 | + | 1.06087i | 0.421050 | + | 0.907037i | \(0.361662\pi\) |
−0.988097 | + | 0.153832i | \(0.950838\pi\) | |||||||
\(252\) | −3.54943 | + | 22.0603i | −0.223593 | + | 1.38967i | ||||
\(253\) | 0.380272 | − | 0.0374536i | 0.0239075 | − | 0.00235469i | ||||
\(254\) | 5.24012 | − | 0.914031i | 0.328794 | − | 0.0573514i | ||||
\(255\) | 2.26104 | + | 3.83309i | 0.141592 | + | 0.240037i | ||||
\(256\) | 3.01011 | − | 15.7143i | 0.188132 | − | 0.982144i | ||||
\(257\) | − | 24.6417i | − | 1.53710i | −0.639787 | − | 0.768552i | \(-0.720977\pi\) | ||
0.639787 | − | 0.768552i | \(-0.279023\pi\) | |||||||
\(258\) | −1.13779 | − | 1.33549i | −0.0708356 | − | 0.0831438i | ||||
\(259\) | 0.709176 | + | 7.20039i | 0.0440661 | + | 0.447410i | ||||
\(260\) | −10.9875 | + | 3.95337i | −0.681415 | + | 0.245177i | ||||
\(261\) | 14.0695 | − | 9.11784i | 0.870879 | − | 0.564380i | ||||
\(262\) | 4.02352 | + | 14.4892i | 0.248574 | + | 0.895144i | ||||
\(263\) | 4.09158 | − | 20.5697i | 0.252297 | − | 1.26839i | −0.622009 | − | 0.783010i | \(-0.713683\pi\) |
0.874306 | − | 0.485375i | \(-0.161317\pi\) | |||||||
\(264\) | 0.446863 | + | 1.64259i | 0.0275025 | + | 0.101094i | ||||
\(265\) | −8.71127 | + | 1.73278i | −0.535129 | + | 0.106444i | ||||
\(266\) | −34.0105 | − | 11.2021i | −2.08532 | − | 0.686848i | ||||
\(267\) | 9.21694 | − | 25.2005i | 0.564067 | − | 1.54225i | ||||
\(268\) | −25.5411 | + | 12.1355i | −1.56017 | + | 0.741292i | ||||
\(269\) | −12.9250 | − | 24.1809i | −0.788049 | − | 1.47434i | −0.878141 | − | 0.478402i | \(-0.841216\pi\) |
0.0900921 | − | 0.995933i | \(-0.471284\pi\) | |||||||
\(270\) | −0.0547380 | − | 12.5244i | −0.00333125 | − | 0.762212i | ||||
\(271\) | 6.37154 | + | 2.63918i | 0.387043 | + | 0.160319i | 0.567716 | − | 0.823225i | \(-0.307827\pi\) |
−0.180672 | + | 0.983543i | \(0.557827\pi\) | |||||||
\(272\) | −2.82367 | + | 5.32807i | −0.171210 | + | 0.323062i | ||||
\(273\) | 17.6547 | + | 13.2867i | 1.06851 | + | 0.804150i | ||||
\(274\) | 13.1360 | − | 5.08049i | 0.793574 | − | 0.306924i | ||||
\(275\) | −0.696657 | − | 0.211328i | −0.0420100 | − | 0.0127436i | ||||
\(276\) | −1.43930 | − | 3.52701i | −0.0866355 | − | 0.212301i | ||||
\(277\) | −2.28345 | + | 23.1842i | −0.137199 | + | 1.39300i | 0.642229 | + | 0.766513i | \(0.278010\pi\) |
−0.779428 | + | 0.626492i | \(0.784490\pi\) | |||||||
\(278\) | 17.7399 | − | 20.6024i | 1.06397 | − | 1.23565i | ||||
\(279\) | −6.69324 | − | 12.9565i | −0.400714 | − | 0.775685i | ||||
\(280\) | −3.02213 | + | 17.6961i | −0.180607 | + | 1.05755i | ||||
\(281\) | −7.90862 | + | 5.28437i | −0.471789 | + | 0.315239i | −0.768637 | − | 0.639686i | \(-0.779065\pi\) |
0.296848 | + | 0.954925i | \(0.404065\pi\) | |||||||
\(282\) | 10.1347 | − | 25.8007i | 0.603511 | − | 1.53641i | ||||
\(283\) | 6.45501 | + | 21.2793i | 0.383711 | + | 1.26492i | 0.909996 | + | 0.414617i | \(0.136084\pi\) |
−0.526285 | + | 0.850308i | \(0.676416\pi\) | |||||||
\(284\) | 13.0340 | − | 1.95703i | 0.773426 | − | 0.116128i | ||||
\(285\) | 19.8330 | + | 3.08439i | 1.17481 | + | 0.182704i | ||||
\(286\) | 1.64280 | + | 0.367375i | 0.0971409 | + | 0.0217233i | ||||
\(287\) | 8.79985 | + | 8.79985i | 0.519439 | + | 0.519439i | ||||
\(288\) | 14.4242 | − | 8.94103i | 0.849955 | − | 0.526855i | ||||
\(289\) | −10.4139 | + | 10.4139i | −0.612579 | + | 0.612579i | ||||
\(290\) | 11.3741 | − | 7.21667i | 0.667907 | − | 0.423777i | ||||
\(291\) | 3.86569 | − | 24.8569i | 0.226611 | − | 1.45714i | ||||
\(292\) | −6.66381 | − | 11.0733i | −0.389970 | − | 0.648018i | ||||
\(293\) | 8.86823 | − | 2.69015i | 0.518088 | − | 0.157160i | −0.0204027 | − | 0.999792i | \(-0.506495\pi\) |
0.538490 | + | 0.842632i | \(0.318995\pi\) | |||||||
\(294\) | 15.4219 | − | 6.72320i | 0.899426 | − | 0.392105i | ||||
\(295\) | −9.70014 | − | 14.5173i | −0.564764 | − | 0.845229i | ||||
\(296\) | 3.77859 | − | 3.98997i | 0.219626 | − | 0.231912i | ||||
\(297\) | −0.960644 | + | 1.52878i | −0.0557422 | + | 0.0887090i | ||||
\(298\) | 1.46201 | + | 19.5834i | 0.0846917 | + | 1.13443i | ||||
\(299\) | −3.74892 | − | 0.369236i | −0.216805 | − | 0.0213535i | ||||
\(300\) | −0.0380837 | + | 7.25756i | −0.00219877 | + | 0.419015i | ||||
\(301\) | −0.774283 | + | 2.55247i | −0.0446289 | + | 0.147122i | ||||
\(302\) | −26.4323 | − | 11.6886i | −1.52101 | − | 0.672604i | ||||
\(303\) | −10.0288 | + | 13.3258i | −0.576142 | + | 0.765546i | ||||
\(304\) | 10.4966 | + | 25.0892i | 0.602024 | + | 1.43897i | ||||
\(305\) | 4.75719 | − | 11.4849i | 0.272396 | − | 0.657621i | ||||
\(306\) | −6.18605 | + | 1.62462i | −0.353633 | + | 0.0928736i | ||||
\(307\) | 17.3395 | − | 9.26818i | 0.989620 | − | 0.528963i | 0.104599 | − | 0.994514i | \(-0.466644\pi\) |
0.885021 | + | 0.465551i | \(0.154144\pi\) | |||||||
\(308\) | 1.73461 | − | 1.92068i | 0.0988386 | − | 0.109441i | ||||
\(309\) | −23.8670 | − | 8.72920i | −1.35774 | − | 0.496587i | ||||
\(310\) | −5.27732 | − | 10.4611i | −0.299731 | − | 0.594153i | ||||
\(311\) | 2.03101 | + | 10.2106i | 0.115168 | + | 0.578990i | 0.994671 | + | 0.103097i | \(0.0328751\pi\) |
−0.879503 | + | 0.475893i | \(0.842125\pi\) | |||||||
\(312\) | −1.16156 | − | 16.7418i | −0.0657604 | − | 0.947817i | ||||
\(313\) | −3.92499 | − | 0.780729i | −0.221854 | − | 0.0441294i | 0.0829117 | − | 0.996557i | \(-0.473578\pi\) |
−0.304765 | + | 0.952427i | \(0.598578\pi\) | |||||||
\(314\) | −0.392515 | − | 0.221898i | −0.0221509 | − | 0.0125224i | ||||
\(315\) | −15.9792 | + | 10.3555i | −0.900328 | + | 0.583465i | ||||
\(316\) | 0.543102 | − | 11.4699i | 0.0305519 | − | 0.645230i | ||||
\(317\) | 19.4130 | − | 1.91202i | 1.09034 | − | 0.107390i | 0.463171 | − | 0.886269i | \(-0.346712\pi\) |
0.627173 | + | 0.778880i | \(0.284212\pi\) | |||||||
\(318\) | 1.01711 | − | 12.7243i | 0.0570367 | − | 0.713545i | ||||
\(319\) | −1.94189 | −0.108725 | ||||||||
\(320\) | 11.6577 | − | 7.07188i | 0.651685 | − | 0.395330i | ||||
\(321\) | −20.6581 | + | 12.1857i | −1.15302 | + | 0.680138i | ||||
\(322\) | −3.33058 | + | 4.73798i | −0.185606 | + | 0.264037i | ||||
\(323\) | −1.00465 | − | 10.2004i | −0.0559003 | − | 0.567565i | ||||
\(324\) | 17.3395 | + | 4.83141i | 0.963304 | + | 0.268412i | ||||
\(325\) | 6.32958 | + | 3.38323i | 0.351102 | + | 0.187668i | ||||
\(326\) | −9.71236 | − | 5.49062i | −0.537918 | − | 0.304097i | ||||
\(327\) | −6.10350 | − | 17.4432i | −0.337525 | − | 0.964612i | ||||
\(328\) | 0.670270 | − | 9.42822i | 0.0370095 | − | 0.520586i | ||||
\(329\) | −41.3333 | + | 8.22170i | −2.27878 | + | 0.453277i | ||||
\(330\) | −0.783608 | + | 1.22082i | −0.0431362 | + | 0.0672039i | ||||
\(331\) | −13.9944 | + | 11.4849i | −0.769203 | + | 0.631268i | −0.934901 | − | 0.354908i | \(-0.884512\pi\) |
0.165698 | + | 0.986176i | \(0.447012\pi\) | |||||||
\(332\) | 0.655424 | + | 12.8758i | 0.0359711 | + | 0.706650i | ||||
\(333\) | 5.82800 | + | 0.0818283i | 0.319373 | + | 0.00448416i | ||||
\(334\) | 24.4914 | + | 25.6785i | 1.34011 | + | 1.40507i | ||||
\(335\) | −22.2634 | − | 9.22180i | −1.21638 | − | 0.503841i | ||||
\(336\) | −23.2851 | − | 11.1122i | −1.27031 | − | 0.606220i | ||||
\(337\) | 1.33933 | − | 0.554767i | 0.0729577 | − | 0.0302201i | −0.345906 | − | 0.938269i | \(-0.612428\pi\) |
0.418864 | + | 0.908049i | \(0.362428\pi\) | |||||||
\(338\) | 1.63633 | + | 0.723602i | 0.0890047 | + | 0.0393588i | ||||
\(339\) | −5.46063 | − | 22.4680i | −0.296580 | − | 1.22030i | ||||
\(340\) | −4.98251 | + | 1.25744i | −0.270214 | + | 0.0681944i | ||||
\(341\) | −0.165562 | + | 1.68098i | −0.00896571 | + | 0.0910304i | ||||
\(342\) | −12.0355 | + | 26.2155i | −0.650808 | + | 1.41757i | ||||
\(343\) | 0.407934 | + | 0.272572i | 0.0220263 | + | 0.0147175i | ||||
\(344\) | 1.84987 | − | 0.825884i | 0.0997385 | − | 0.0445287i | ||||
\(345\) | 1.40854 | − | 2.92481i | 0.0758332 | − | 0.157466i | ||||
\(346\) | 4.09881 | − | 33.4765i | 0.220354 | − | 1.79971i | ||||
\(347\) | 4.11004 | + | 13.5490i | 0.220639 | + | 0.727348i | 0.995461 | + | 0.0951692i | \(0.0303392\pi\) |
−0.774822 | + | 0.632179i | \(0.782161\pi\) | |||||||
\(348\) | 5.52240 | + | 18.5549i | 0.296032 | + | 0.994646i | ||||
\(349\) | 14.2937 | + | 11.7305i | 0.765122 | + | 0.627920i | 0.933818 | − | 0.357749i | \(-0.116456\pi\) |
−0.168696 | + | 0.985668i | \(0.553956\pi\) | |||||||
\(350\) | 9.31686 | − | 5.91141i | 0.498007 | − | 0.315978i | ||||
\(351\) | 12.2289 | − | 12.9343i | 0.652728 | − | 0.690382i | ||||
\(352\) | −1.96524 | − | 0.0395316i | −0.104747 | − | 0.00210704i | ||||
\(353\) | 22.4598 | − | 22.4598i | 1.19541 | − | 1.19541i | 0.219890 | − | 0.975525i | \(-0.429430\pi\) |
0.975525 | − | 0.219890i | \(-0.0705699\pi\) | |||||||
\(354\) | 23.8742 | − | 7.72488i | 1.26890 | − | 0.410573i | ||||
\(355\) | 8.68240 | + | 7.12546i | 0.460814 | + | 0.378180i | ||||
\(356\) | 24.9194 | + | 18.4131i | 1.32073 | + | 0.975895i | ||||
\(357\) | 7.15878 | + | 6.58046i | 0.378883 | + | 0.348275i | ||||
\(358\) | −24.2631 | + | 18.9697i | −1.28234 | + | 1.00258i | ||||
\(359\) | 4.71129 | + | 7.05095i | 0.248652 | + | 0.372135i | 0.934709 | − | 0.355413i | \(-0.115660\pi\) |
−0.686057 | + | 0.727548i | \(0.740660\pi\) | |||||||
\(360\) | 13.8934 | + | 4.01560i | 0.732248 | + | 0.211641i | ||||
\(361\) | −22.6393 | − | 15.1271i | −1.19154 | − | 0.796164i | ||||
\(362\) | 6.21052 | − | 7.21263i | 0.326418 | − | 0.379088i | ||||
\(363\) | −17.0904 | + | 7.93683i | −0.897013 | + | 0.416576i | ||||
\(364\) | −20.4661 | + | 15.2350i | −1.07272 | + | 0.798532i | ||||
\(365\) | 3.19706 | − | 10.5393i | 0.167342 | − | 0.551651i | ||||
\(366\) | 14.0167 | + | 11.0777i | 0.732665 | + | 0.579043i | ||||
\(367\) | −21.8830 | + | 9.06425i | −1.14228 | + | 0.473150i | −0.871940 | − | 0.489614i | \(-0.837138\pi\) |
−0.270345 | + | 0.962763i | \(0.587138\pi\) | |||||||
\(368\) | 4.37595 | − | 0.446662i | 0.228112 | − | 0.0232838i | ||||
\(369\) | 7.83825 | − | 6.25061i | 0.408043 | − | 0.325394i | ||||
\(370\) | 4.68166 | + | 0.110777i | 0.243388 | + | 0.00575902i | ||||
\(371\) | −17.1152 | + | 9.14829i | −0.888579 | + | 0.474955i | ||||
\(372\) | 16.5327 | − | 3.19847i | 0.857180 | − | 0.165833i | ||||
\(373\) | 4.08768 | − | 3.35467i | 0.211652 | − | 0.173698i | −0.522594 | − | 0.852581i | \(-0.675036\pi\) |
0.734246 | + | 0.678883i | \(0.237536\pi\) | |||||||
\(374\) | 0.703620 | + | 0.231753i | 0.0363833 | + | 0.0119837i | ||||
\(375\) | −15.6177 | + | 13.9567i | −0.806496 | + | 0.720718i | ||||
\(376\) | 25.2857 | + | 19.6252i | 1.30401 | + | 1.01209i | ||||
\(377\) | 18.7763 | + | 3.73484i | 0.967030 | + | 0.192354i | ||||
\(378\) | −8.05824 | − | 26.1524i | −0.414471 | − | 1.34514i | ||||
\(379\) | −3.19359 | − | 1.70701i | −0.164044 | − | 0.0876831i | 0.387332 | − | 0.921940i | \(-0.373397\pi\) |
−0.551375 | + | 0.834257i | \(0.685897\pi\) | |||||||
\(380\) | −9.87209 | + | 20.9688i | −0.506427 | + | 1.07568i | ||||
\(381\) | −5.25978 | + | 3.84398i | −0.269466 | + | 0.196933i | ||||
\(382\) | 19.1461 | − | 3.33965i | 0.979600 | − | 0.170871i | ||||
\(383\) | 0.982791 | 0.0502183 | 0.0251091 | − | 0.999685i | \(-0.492007\pi\) | ||||
0.0251091 | + | 0.999685i | \(0.492007\pi\) | |||||||
\(384\) | 5.21106 | + | 18.8903i | 0.265926 | + | 0.963993i | ||||
\(385\) | 2.20548 | 0.112402 | ||||||||
\(386\) | −2.34418 | + | 0.408894i | −0.119316 | + | 0.0208122i | ||||
\(387\) | 1.97345 | + | 0.850081i | 0.100316 | + | 0.0432120i | ||||
\(388\) | 26.2804 | + | 12.3728i | 1.33419 | + | 0.628132i | ||||
\(389\) | −12.4346 | − | 6.64643i | −0.630459 | − | 0.336988i | 0.125026 | − | 0.992154i | \(-0.460099\pi\) |
−0.755485 | + | 0.655166i | \(0.772599\pi\) | |||||||
\(390\) | 9.92476 | − | 10.2971i | 0.502560 | − | 0.521414i | ||||
\(391\) | −1.62591 | − | 0.323415i | −0.0822260 | − | 0.0163558i | ||||
\(392\) | 2.42924 | + | 19.2739i | 0.122695 | + | 0.973478i | ||||
\(393\) | −12.2720 | − | 13.7326i | −0.619042 | − | 0.692718i | ||||
\(394\) | −11.0460 | − | 3.63826i | −0.556491 | − | 0.183293i | ||||
\(395\) | 7.56424 | − | 6.20781i | 0.380598 | − | 0.312349i | ||||
\(396\) | −1.38106 | − | 1.56185i | −0.0694008 | − | 0.0784857i | ||||
\(397\) | −2.26443 | + | 1.21036i | −0.113648 | + | 0.0607463i | −0.527241 | − | 0.849716i | \(-0.676774\pi\) |
0.413593 | + | 0.910462i | \(0.364274\pi\) | |||||||
\(398\) | 18.1409 | + | 0.429249i | 0.909323 | + | 0.0215163i | ||||
\(399\) | 43.4250 | − | 6.13026i | 2.17397 | − | 0.306897i | ||||
\(400\) | −8.02814 | − | 2.40427i | −0.401407 | − | 0.120213i | ||||
\(401\) | 16.3615 | − | 6.77715i | 0.817054 | − | 0.338435i | 0.0652891 | − | 0.997866i | \(-0.479203\pi\) |
0.751764 | + | 0.659432i | \(0.229203\pi\) | |||||||
\(402\) | 21.4742 | − | 27.1714i | 1.07104 | − | 1.35518i | ||||
\(403\) | 4.83387 | − | 15.9351i | 0.240792 | − | 0.793786i | ||||
\(404\) | −11.4994 | − | 15.4478i | −0.572117 | − | 0.768559i | ||||
\(405\) | 6.84827 | + | 13.7258i | 0.340293 | + | 0.682040i | ||||
\(406\) | 19.2046 | − | 22.3034i | 0.953108 | − | 1.10690i | ||||
\(407\) | −0.561326 | − | 0.375066i | −0.0278239 | − | 0.0185913i | ||||
\(408\) | 0.213441 | − | 7.38218i | 0.0105669 | − | 0.365472i | ||||
\(409\) | −7.67572 | − | 11.4875i | −0.379540 | − | 0.568021i | 0.591690 | − | 0.806166i | \(-0.298461\pi\) |
−0.971230 | + | 0.238144i | \(0.923461\pi\) | |||||||
\(410\) | 6.34565 | − | 4.96125i | 0.313389 | − | 0.245019i | ||||
\(411\) | −11.6736 | + | 12.6995i | −0.575814 | + | 0.626419i | ||||
\(412\) | 17.4388 | − | 23.6008i | 0.859147 | − | 1.16273i | ||||
\(413\) | −29.4897 | − | 24.2016i | −1.45109 | − | 1.19088i | ||||
\(414\) | 3.49238 | + | 3.09359i | 0.171641 | + | 0.152042i | ||||
\(415\) | −7.76883 | + | 7.76883i | −0.381357 | + | 0.381357i | ||||
\(416\) | 18.9260 | + | 4.16197i | 0.927923 | + | 0.204057i | ||||
\(417\) | −8.31725 | + | 32.2423i | −0.407297 | + | 1.57891i | ||||
\(418\) | 2.82120 | − | 1.79001i | 0.137989 | − | 0.0875521i | ||||
\(419\) | 0.506851 | + | 0.415962i | 0.0247613 | + | 0.0203211i | 0.646693 | − | 0.762751i | \(-0.276152\pi\) |
−0.621931 | + | 0.783072i | \(0.713652\pi\) | |||||||
\(420\) | −6.27201 | − | 21.0735i | −0.306043 | − | 1.02828i | ||||
\(421\) | −0.220541 | − | 0.727026i | −0.0107485 | − | 0.0354331i | 0.951402 | − | 0.307951i | \(-0.0996434\pi\) |
−0.962151 | + | 0.272518i | \(0.912143\pi\) | |||||||
\(422\) | 1.04929 | − | 8.56993i | 0.0510787 | − | 0.417178i | ||||
\(423\) | 2.85300 | + | 33.8296i | 0.138717 | + | 1.64485i | ||||
\(424\) | 13.7660 | + | 5.26815i | 0.668538 | + | 0.255844i | ||||
\(425\) | 2.62611 | + | 1.75471i | 0.127385 | + | 0.0851160i | ||||
\(426\) | −13.2544 | + | 9.21373i | −0.642180 | + | 0.446407i | ||||
\(427\) | 2.66231 | − | 27.0309i | 0.128838 | − | 1.30812i | ||||
\(428\) | −6.77686 | − | 26.8527i | −0.327572 | − | 1.29798i | ||||
\(429\) | −2.00339 | + | 0.486903i | −0.0967245 | + | 0.0235079i | ||||
\(430\) | 1.57892 | + | 0.698215i | 0.0761425 | + | 0.0336709i | ||||
\(431\) | −9.09228 | + | 3.76614i | −0.437959 | + | 0.181409i | −0.590758 | − | 0.806849i | \(-0.701171\pi\) |
0.152799 | + | 0.988257i | \(0.451171\pi\) | |||||||
\(432\) | −10.9960 | + | 17.6377i | −0.529046 | + | 0.848593i | ||||
\(433\) | 25.8141 | + | 10.6925i | 1.24055 | + | 0.513851i | 0.903885 | − | 0.427775i | \(-0.140702\pi\) |
0.336661 | + | 0.941626i | \(0.390702\pi\) | |||||||
\(434\) | −17.6694 | − | 18.5258i | −0.848158 | − | 0.889269i | ||||
\(435\) | −8.58064 | + | 14.0907i | −0.411410 | + | 0.675596i | ||||
\(436\) | 21.3115 | − | 1.08484i | 1.02064 | − | 0.0519542i | ||||
\(437\) | −5.77965 | + | 4.74324i | −0.276478 | + | 0.226900i | ||||
\(438\) | 13.3205 | + | 8.55001i | 0.636477 | + | 0.408535i | ||||
\(439\) | −14.9793 | + | 2.97957i | −0.714924 | + | 0.142207i | −0.539134 | − | 0.842220i | \(-0.681248\pi\) |
−0.175791 | + | 0.984428i | \(0.556248\pi\) | |||||||
\(440\) | −1.09749 | − | 1.26548i | −0.0523208 | − | 0.0603293i | ||||
\(441\) | −13.2938 | + | 15.7426i | −0.633040 | + | 0.749648i | ||||
\(442\) | −6.35762 | − | 3.59411i | −0.302401 | − | 0.170954i | ||||
\(443\) | −12.8228 | − | 6.85393i | −0.609229 | − | 0.325640i | 0.137770 | − | 0.990464i | \(-0.456006\pi\) |
−0.747000 | + | 0.664824i | \(0.768506\pi\) | |||||||
\(444\) | −1.98746 | + | 6.43012i | −0.0943207 | + | 0.305160i | ||||
\(445\) | 2.58808 | + | 26.2772i | 0.122687 | + | 1.24566i | ||||
\(446\) | −20.9709 | + | 29.8325i | −0.992999 | + | 1.41261i | ||||
\(447\) | −12.2197 | − | 20.7158i | −0.577974 | − | 0.979825i | ||||
\(448\) | 19.8895 | − | 22.1805i | 0.939690 | − | 1.04793i | ||||
\(449\) | 16.8124 | 0.793428 | 0.396714 | − | 0.917942i | \(-0.370150\pi\) | ||||
0.396714 | + | 0.917942i | \(0.370150\pi\) | |||||||
\(450\) | −3.89172 | − | 7.99156i | −0.183457 | − | 0.376726i | ||||
\(451\) | −1.15561 | + | 0.113818i | −0.0544155 | + | 0.00535946i | ||||
\(452\) | 26.6692 | + | 1.26280i | 1.25441 | + | 0.0593969i | ||||
\(453\) | 35.3655 | − | 1.48862i | 1.66162 | − | 0.0699414i | ||||
\(454\) | 10.8407 | + | 6.12847i | 0.508777 | + | 0.287623i | ||||
\(455\) | −21.3250 | − | 4.24180i | −0.999731 | − | 0.198859i | ||||
\(456\) | −25.1266 | − | 21.8662i | −1.17666 | − | 1.02398i | ||||
\(457\) | −4.16415 | − | 20.9346i | −0.194791 | − | 0.979280i | −0.947214 | − | 0.320601i | \(-0.896115\pi\) |
0.752424 | − | 0.658680i | \(-0.228885\pi\) | |||||||
\(458\) | −0.0186779 | − | 0.0370248i | −0.000872760 | − | 0.00173006i | ||||
\(459\) | 5.91355 | − | 5.13711i | 0.276021 | − | 0.239780i | ||||
\(460\) | 2.78192 | + | 2.51242i | 0.129708 | + | 0.117142i | ||||
\(461\) | 1.19749 | − | 0.640070i | 0.0557725 | − | 0.0298110i | −0.443275 | − | 0.896386i | \(-0.646183\pi\) |
0.499047 | + | 0.866575i | \(0.333683\pi\) | |||||||
\(462\) | −0.864113 | + | 3.04961i | −0.0402022 | + | 0.141881i | ||||
\(463\) | 6.74863 | − | 16.2926i | 0.313635 | − | 0.757183i | −0.685929 | − | 0.727669i | \(-0.740604\pi\) |
0.999564 | − | 0.0295144i | \(-0.00939609\pi\) | |||||||
\(464\) | −22.3540 | + | 0.0792406i | −1.03776 | + | 0.00367865i | ||||
\(465\) | 11.4659 | + | 8.62910i | 0.531718 | + | 0.400165i | ||||
\(466\) | 13.1303 | + | 5.80633i | 0.608248 | + | 0.268973i | ||||
\(467\) | 1.06716 | − | 3.51794i | 0.0493821 | − | 0.162791i | −0.928781 | − | 0.370628i | \(-0.879142\pi\) |
0.978163 | + | 0.207837i | \(0.0666424\pi\) | |||||||
\(468\) | 10.3497 | + | 17.7578i | 0.478413 | + | 0.820854i | ||||
\(469\) | −52.3993 | − | 5.16088i | −2.41957 | − | 0.238307i | ||||
\(470\) | 2.03072 | + | 27.2012i | 0.0936702 | + | 1.25470i | ||||
\(471\) | 0.551362 | + | 0.0309679i | 0.0254054 | + | 0.00142693i | ||||
\(472\) | 0.788081 | + | 28.9640i | 0.0362744 | + | 1.33318i | ||||
\(473\) | −0.138271 | − | 0.206937i | −0.00635771 | − | 0.00951499i | ||||
\(474\) | 5.62010 | + | 12.8916i | 0.258140 | + | 0.592131i | ||||
\(475\) | 13.6315 | − | 4.13507i | 0.625456 | − | 0.189730i | ||||
\(476\) | −9.62031 | + | 5.78939i | −0.440946 | + | 0.265356i | ||||
\(477\) | 5.77942 | + | 14.5263i | 0.264621 | + | 0.665113i | ||||
\(478\) | 16.9906 | − | 10.7803i | 0.777133 | − | 0.493079i | ||||
\(479\) | 0.574966 | − | 0.574966i | 0.0262709 | − | 0.0262709i | −0.693849 | − | 0.720120i | \(-0.744087\pi\) |
0.720120 | + | 0.693849i | \(0.244087\pi\) | |||||||
\(480\) | −8.97063 | + | 14.0854i | −0.409451 | + | 0.642906i | ||||
\(481\) | 4.70614 | + | 4.70614i | 0.214582 | + | 0.214582i | ||||
\(482\) | −10.6195 | − | 2.37480i | −0.483704 | − | 0.108169i | ||||
\(483\) | 1.09000 | − | 7.00883i | 0.0495966 | − | 0.318913i | ||||
\(484\) | −3.23078 | − | 21.5173i | −0.146854 | − | 0.978060i | ||||
\(485\) | 7.18564 | + | 23.6879i | 0.326283 | + | 1.07561i | ||||
\(486\) | −21.6624 | + | 4.09158i | −0.982626 | + | 0.185598i | ||||
\(487\) | −16.0270 | + | 10.7089i | −0.726252 | + | 0.485266i | −0.862914 | − | 0.505352i | \(-0.831363\pi\) |
0.136661 | + | 0.990618i | \(0.456363\pi\) | |||||||
\(488\) | −16.8348 | + | 11.9235i | −0.762075 | + | 0.539751i | ||||
\(489\) | 13.6429 | + | 0.766268i | 0.616952 | + | 0.0346518i | ||||
\(490\) | −10.8021 | + | 12.5451i | −0.487989 | + | 0.566730i | ||||
\(491\) | 0.785479 | − | 7.97510i | 0.0354482 | − | 0.359911i | −0.961055 | − | 0.276357i | \(-0.910873\pi\) |
0.996503 | − | 0.0835544i | \(-0.0266272\pi\) | |||||||
\(492\) | 4.37388 | + | 10.7182i | 0.197190 | + | 0.483214i | ||||
\(493\) | 8.06201 | + | 2.44558i | 0.363094 | + | 0.110144i | ||||
\(494\) | −30.7211 | + | 11.8817i | −1.38221 | + | 0.534584i | ||||
\(495\) | 0.198953 | − | 1.76553i | 0.00894228 | − | 0.0793545i | ||||
\(496\) | −1.83727 | + | 19.3573i | −0.0824958 | + | 0.869168i | ||||
\(497\) | 22.6733 | + | 9.39160i | 1.01704 | + | 0.421271i | ||||
\(498\) | −7.69843 | − | 13.7861i | −0.344975 | − | 0.617770i | ||||
\(499\) | −10.8098 | − | 20.2237i | −0.483912 | − | 0.905335i | −0.998842 | − | 0.0481034i | \(-0.984682\pi\) |
0.514931 | − | 0.857232i | \(-0.327818\pi\) | |||||||
\(500\) | −10.3793 | − | 21.8450i | −0.464178 | − | 0.976939i | ||||
\(501\) | −40.8163 | − | 14.9283i | −1.82354 | − | 0.666949i | ||||
\(502\) | 25.5988 | + | 8.43153i | 1.14253 | + | 0.376318i | ||||
\(503\) | 8.98986 | − | 1.78819i | 0.400838 | − | 0.0797316i | 0.00944528 | − | 0.999955i | \(-0.496993\pi\) |
0.391393 | + | 0.920224i | \(0.371993\pi\) | |||||||
\(504\) | 31.5965 | − | 0.415919i | 1.40742 | − | 0.0185265i | ||||
\(505\) | 3.20172 | − | 16.0961i | 0.142475 | − | 0.716268i | ||||
\(506\) | −0.144590 | − | 0.520686i | −0.00642781 | − | 0.0231473i | ||||
\(507\) | −2.18936 | + | 0.0921553i | −0.0972327 | + | 0.00409276i | ||||
\(508\) | −2.54682 | − | 7.07830i | −0.112997 | − | 0.314049i | ||||
\(509\) | 1.37908 | + | 14.0020i | 0.0611267 | + | 0.620629i | 0.976131 | + | 0.217184i | \(0.0696873\pi\) |
−0.915004 | + | 0.403445i | \(0.867813\pi\) | |||||||
\(510\) | 4.79072 | − | 4.08152i | 0.212137 | − | 0.180733i | ||||
\(511\) | − | 24.0642i | − | 1.06454i | ||||||
\(512\) | −22.6243 | − | 0.374872i | −0.999863 | − | 0.0165671i | ||||
\(513\) | −0.990078 | − | 35.3154i | −0.0437130 | − | 1.55921i | ||||
\(514\) | −34.3302 | + | 5.98820i | −1.51424 | + | 0.264128i | ||||
\(515\) | 24.8867 | − | 2.45113i | 1.09664 | − | 0.108010i | ||||
\(516\) | −1.58408 | + | 1.90968i | −0.0697351 | + | 0.0840690i | ||||
\(517\) | 1.85366 | − | 3.46795i | 0.0815238 | − | 0.152520i | ||||
\(518\) | 9.85909 | − | 2.73778i | 0.433183 | − | 0.120291i | ||||
\(519\) | 13.6423 | + | 38.9884i | 0.598832 | + | 1.71140i | ||||
\(520\) | 8.17783 | + | 14.3468i | 0.358622 | + | 0.629150i | ||||
\(521\) | 5.77705 | + | 29.0432i | 0.253097 | + | 1.27241i | 0.872997 | + | 0.487725i | \(0.162173\pi\) |
−0.619900 | + | 0.784681i | \(0.712827\pi\) | |||||||
\(522\) | −16.1218 | − | 17.3855i | −0.705633 | − | 0.760945i | ||||
\(523\) | −19.3468 | − | 23.5742i | −0.845978 | − | 1.03083i | −0.999091 | − | 0.0426181i | \(-0.986430\pi\) |
0.153114 | − | 0.988209i | \(-0.451070\pi\) | |||||||
\(524\) | 19.2082 | − | 9.12651i | 0.839116 | − | 0.398694i | ||||
\(525\) | −7.02868 | + | 11.5421i | −0.306757 | + | 0.503739i | ||||
\(526\) | −29.6516 | − | 0.701614i | −1.29287 | − | 0.0305918i | ||||
\(527\) | 2.80435 | − | 6.77030i | 0.122159 | − | 0.294919i | ||||
\(528\) | 2.17983 | − | 1.02173i | 0.0948649 | − | 0.0444650i | ||||
\(529\) | −8.33895 | − | 20.1320i | −0.362563 | − | 0.875304i | ||||
\(530\) | 4.53101 | + | 11.7153i | 0.196814 | + | 0.508879i | ||||
\(531\) | −22.0340 | + | 21.4238i | −0.956193 | + | 0.929714i | ||||
\(532\) | −7.34164 | + | 50.1050i | −0.318300 | + | 2.17233i | ||||
\(533\) | 11.3926 | + | 1.12207i | 0.493467 | + | 0.0486023i | ||||
\(534\) | −37.3486 | − | 6.71683i | −1.61623 | − | 0.290666i | ||||
\(535\) | 13.1120 | − | 19.6236i | 0.566883 | − | 0.848400i | ||||
\(536\) | 23.1136 | + | 32.6342i | 0.998357 | + | 1.40958i | ||||
\(537\) | 16.3665 | − | 33.9847i | 0.706265 | − | 1.46655i | ||||
\(538\) | −30.5474 | + | 23.8830i | −1.31699 | + | 1.02967i | ||||
\(539\) | 2.28381 | − | 0.692785i | 0.0983705 | − | 0.0298404i | ||||
\(540\) | −17.4355 | + | 3.11984i | −0.750303 | + | 0.134256i | ||||
\(541\) | −10.2041 | + | 12.4337i | −0.438707 | + | 0.534566i | −0.944684 | − | 0.327981i | \(-0.893632\pi\) |
0.505977 | + | 0.862547i | \(0.331132\pi\) | |||||||
\(542\) | 2.12849 | − | 9.51804i | 0.0914264 | − | 0.408835i | ||||
\(543\) | −2.91176 | + | 11.2876i | −0.124956 | + | 0.484399i | ||||
\(544\) | 8.10913 | + | 2.63910i | 0.347676 | + | 0.113151i | ||||
\(545\) | 12.8587 | + | 12.8587i | 0.550806 | + | 0.550806i | ||||
\(546\) | 14.2205 | − | 27.8250i | 0.608581 | − | 1.19080i | ||||
\(547\) | 12.3367 | − | 15.0324i | 0.527481 | − | 0.642737i | −0.439301 | − | 0.898340i | \(-0.644774\pi\) |
0.966782 | + | 0.255603i | \(0.0822739\pi\) | |||||||
\(548\) | −10.2702 | − | 17.0662i | −0.438722 | − | 0.729030i | ||||
\(549\) | −21.3985 | − | 4.56963i | −0.913265 | − | 0.195027i | ||||
\(550\) | −0.125123 | + | 1.02192i | −0.00533525 | + | 0.0435749i | ||||
\(551\) | 31.5934 | − | 21.1101i | 1.34593 | − | 0.899319i | ||||
\(552\) | −4.56398 | + | 2.86230i | −0.194256 | + | 0.121828i | ||||
\(553\) | 11.8786 | − | 17.7776i | 0.505129 | − | 0.755979i | ||||
\(554\) | 32.8546 | − | 2.45278i | 1.39586 | − | 0.104209i | ||||
\(555\) | −5.20187 | + | 2.41576i | −0.220807 | + | 0.102543i | ||||
\(556\) | −33.0138 | − | 19.7083i | −1.40010 | − | 0.835816i | ||||
\(557\) | −16.0822 | − | 4.87848i | −0.681424 | − | 0.206708i | −0.0694497 | − | 0.997585i | \(-0.522124\pi\) |
−0.611974 | + | 0.790878i | \(0.709624\pi\) | |||||||
\(558\) | −16.4242 | + | 12.4735i | −0.695291 | + | 0.528043i | ||||
\(559\) | 0.938952 | + | 2.26683i | 0.0397134 | + | 0.0958767i | ||||
\(560\) | 25.3883 | − | 0.0899966i | 1.07285 | − | 0.00380305i | ||||
\(561\) | −0.898388 | + | 0.126825i | −0.0379300 | + | 0.00535454i | ||||
\(562\) | 9.28396 | + | 9.73396i | 0.391620 | + | 0.410602i | ||||
\(563\) | −15.1576 | − | 28.3578i | −0.638815 | − | 1.19514i | −0.968018 | − | 0.250880i | \(-0.919280\pi\) |
0.329203 | − | 0.944259i | \(-0.393220\pi\) | |||||||
\(564\) | −38.4079 | − | 7.84954i | −1.61726 | − | 0.330525i | ||||
\(565\) | 14.4341 | + | 17.5880i | 0.607248 | + | 0.739934i | ||||
\(566\) | 28.0773 | − | 14.1641i | 1.18018 | − | 0.595362i | ||||
\(567\) | 23.0247 | + | 24.3555i | 0.966948 | + | 1.02283i | ||||
\(568\) | −5.89390 | − | 17.6831i | −0.247303 | − | 0.741967i | ||||
\(569\) | −2.27944 | + | 11.4595i | −0.0955592 | + | 0.480409i | 0.903137 | + | 0.429353i | \(0.141258\pi\) |
−0.998696 | + | 0.0510553i | \(0.983742\pi\) | |||||||
\(570\) | −0.522546 | − | 28.3805i | −0.0218871 | − | 1.18873i | ||||
\(571\) | −7.37978 | + | 13.8066i | −0.308834 | + | 0.577788i | −0.987679 | − | 0.156494i | \(-0.949981\pi\) |
0.678845 | + | 0.734282i | \(0.262481\pi\) | |||||||
\(572\) | 0.112599 | − | 2.37799i | 0.00470799 | − | 0.0994288i | ||||
\(573\) | −19.2179 | + | 14.0450i | −0.802841 | + | 0.586737i | ||||
\(574\) | 10.1213 | − | 14.3982i | 0.422455 | − | 0.600970i | ||||
\(575\) | − | 2.30393i | − | 0.0960805i | ||||||
\(576\) | −15.9617 | − | 17.9227i | −0.665071 | − | 0.746780i | ||||
\(577\) | − | 34.5179i | − | 1.43700i | −0.695527 | − | 0.718500i | \(-0.744829\pi\) | ||
0.695527 | − | 0.718500i | \(-0.255171\pi\) | |||||||
\(578\) | 17.0390 | + | 11.9777i | 0.708730 | + | 0.498205i | ||||
\(579\) | 2.35297 | − | 1.71961i | 0.0977863 | − | 0.0714647i | ||||
\(580\) | −12.8181 | − | 14.0924i | −0.532244 | − | 0.585153i | ||||
\(581\) | −11.3163 | + | 21.1712i | −0.469477 | + | 0.878330i | ||||
\(582\) | −35.5695 | + | 0.654912i | −1.47440 | + | 0.0271470i | ||||
\(583\) | 0.353269 | − | 1.77600i | 0.0146309 | − | 0.0735546i | ||||
\(584\) | −13.8078 | + | 11.9748i | −0.571369 | + | 0.495522i | ||||
\(585\) | −5.31933 | + | 16.6884i | −0.219927 | + | 0.689979i | ||||
\(586\) | −5.90294 | − | 11.7013i | −0.243848 | − | 0.483376i | ||||
\(587\) | 4.19237 | + | 5.10842i | 0.173038 | + | 0.210847i | 0.852307 | − | 0.523042i | \(-0.175203\pi\) |
−0.679269 | + | 0.733889i | \(0.737703\pi\) | |||||||
\(588\) | −13.1143 | − | 19.8517i | −0.540826 | − | 0.818670i | ||||
\(589\) | −15.5801 | − | 29.1484i | −0.641969 | − | 1.20104i | ||||
\(590\) | −17.8679 | + | 17.0419i | −0.735611 | + | 0.701604i | ||||
\(591\) | 14.1037 | − | 1.99100i | 0.580148 | − | 0.0818989i | ||||
\(592\) | −6.47698 | − | 4.29465i | −0.266202 | − | 0.176509i | ||||
\(593\) | 4.89309 | + | 11.8130i | 0.200935 | + | 0.485100i | 0.991940 | − | 0.126710i | \(-0.0404417\pi\) |
−0.791005 | + | 0.611810i | \(0.790442\pi\) | |||||||
\(594\) | 2.36331 | + | 0.966837i | 0.0969679 | + | 0.0396698i | ||||
\(595\) | −9.15633 | − | 2.77754i | −0.375373 | − | 0.113868i | ||||
\(596\) | 26.9278 | − | 6.79581i | 1.10301 | − | 0.278367i | ||||
\(597\) | −20.1567 | + | 9.36082i | −0.824958 | + | 0.383113i | ||||
\(598\) | 0.396618 | + | 5.31264i | 0.0162189 | + | 0.217250i | ||||
\(599\) | 2.83793 | − | 4.24726i | 0.115955 | − | 0.173538i | −0.768952 | − | 0.639306i | \(-0.779222\pi\) |
0.884907 | + | 0.465768i | \(0.154222\pi\) | |||||||
\(600\) | 10.1203 | − | 1.71061i | 0.413161 | − | 0.0698355i | ||||
\(601\) | 15.4287 | − | 10.3091i | 0.629351 | − | 0.420519i | −0.199571 | − | 0.979883i | \(-0.563955\pi\) |
0.828922 | + | 0.559365i | \(0.188955\pi\) | |||||||
\(602\) | 3.74420 | + | 0.458435i | 0.152602 | + | 0.0186844i | ||||
\(603\) | −8.85823 | + | 41.4809i | −0.360735 | + | 1.68923i | ||||
\(604\) | −9.86097 | + | 39.6654i | −0.401237 | + | 1.61396i | ||||
\(605\) | 11.7631 | − | 14.3334i | 0.478239 | − | 0.582736i | ||||
\(606\) | 21.0023 | + | 10.7336i | 0.853161 | + | 0.436024i | ||||
\(607\) | 4.69722 | + | 4.69722i | 0.190654 | + | 0.190654i | 0.795979 | − | 0.605324i | \(-0.206957\pi\) |
−0.605324 | + | 0.795979i | \(0.706957\pi\) | |||||||
\(608\) | 32.4030 | − | 20.7207i | 1.31411 | − | 0.840334i | ||||
\(609\) | −9.00395 | + | 34.9044i | −0.364858 | + | 1.41440i | ||||
\(610\) | −17.1565 | − | 3.83666i | −0.694647 | − | 0.155342i | ||||
\(611\) | −24.5931 | + | 29.9667i | −0.994929 | + | 1.21232i | ||||
\(612\) | 3.76667 | + | 8.22347i | 0.152259 | + | 0.332414i | ||||
\(613\) | −22.4334 | + | 6.80510i | −0.906076 | + | 0.274855i | −0.708731 | − | 0.705479i | \(-0.750732\pi\) |
−0.197345 | + | 0.980334i | \(0.563232\pi\) | |||||||
\(614\) | −17.1259 | − | 21.9048i | −0.691146 | − | 0.884006i | ||||
\(615\) | −4.28041 | + | 8.88819i | −0.172603 | + | 0.358407i | ||||
\(616\) | −3.09738 | − | 1.94988i | −0.124797 | − | 0.0785627i | ||||
\(617\) | 18.1292 | − | 27.1322i | 0.729853 | − | 1.09230i | −0.262020 | − | 0.965063i | \(-0.584388\pi\) |
0.991872 | − | 0.127239i | \(-0.0406115\pi\) | |||||||
\(618\) | −6.36139 | + | 35.3722i | −0.255893 | + | 1.42288i | ||||
\(619\) | 9.67943 | + | 0.953341i | 0.389049 | + | 0.0383180i | 0.290651 | − | 0.956829i | \(-0.406128\pi\) |
0.0983981 | + | 0.995147i | \(0.468628\pi\) | |||||||
\(620\) | −13.2918 | + | 9.89442i | −0.533811 | + | 0.397369i | ||||
\(621\) | −5.51236 | − | 1.50482i | −0.221203 | − | 0.0603862i | ||||
\(622\) | 13.7316 | − | 5.31085i | 0.550588 | − | 0.212946i | ||||
\(623\) | 22.0781 | + | 53.3012i | 0.884540 | + | 2.13547i | ||||
\(624\) | −23.0420 | + | 5.68670i | −0.922419 | + | 0.227650i | ||||
\(625\) | 3.87850 | − | 9.36352i | 0.155140 | − | 0.374541i | ||||
\(626\) | −0.133878 | + | 5.65794i | −0.00535083 | + | 0.226137i | ||||
\(627\) | −2.12832 | + | 3.49502i | −0.0849970 | + | 0.139578i | ||||
\(628\) | −0.213757 | + | 0.600766i | −0.00852984 | + | 0.0239732i | ||||
\(629\) | 1.85806 | + | 2.26406i | 0.0740858 | + | 0.0902738i | ||||
\(630\) | 18.3102 | + | 19.7454i | 0.729495 | + | 0.786677i | ||||
\(631\) | −0.518505 | − | 2.60670i | −0.0206414 | − | 0.103771i | 0.969091 | − | 0.246703i | \(-0.0793471\pi\) |
−0.989733 | + | 0.142932i | \(0.954347\pi\) | |||||||
\(632\) | −16.1115 | + | 2.03067i | −0.640883 | + | 0.0807757i | ||||
\(633\) | 3.49242 | + | 9.98099i | 0.138811 | + | 0.396709i | ||||
\(634\) | −7.38136 | − | 26.5812i | −0.293151 | − | 1.05567i | ||||
\(635\) | 3.02194 | − | 5.65365i | 0.119922 | − | 0.224358i | ||||
\(636\) | −17.9744 | + | 1.67514i | −0.712732 | + | 0.0664236i | ||||
\(637\) | −23.4147 | + | 2.30615i | −0.927725 | + | 0.0913729i | ||||
\(638\) | 0.471902 | + | 2.70540i | 0.0186828 | + | 0.107108i | ||||
\(639\) | 9.56346 | − | 17.3032i | 0.378325 | − | 0.684503i | ||||
\(640\) | −12.6853 | − | 14.5227i | −0.501432 | − | 0.574060i | ||||
\(641\) | − | 8.85193i | − | 0.349630i | −0.984601 | − | 0.174815i | \(-0.944067\pi\) | ||
0.984601 | − | 0.174815i | \(-0.0559328\pi\) | |||||||
\(642\) | 21.9970 | + | 25.8191i | 0.868151 | + | 1.01900i | ||||
\(643\) | 3.29865 | + | 33.4918i | 0.130086 | + | 1.32079i | 0.809538 | + | 0.587067i | \(0.199718\pi\) |
−0.679452 | + | 0.733720i | \(0.737782\pi\) | |||||||
\(644\) | 7.41021 | + | 3.48871i | 0.292003 | + | 0.137474i | ||||
\(645\) | −2.11255 | + | 0.0889221i | −0.0831814 | + | 0.00350131i | ||||
\(646\) | −13.9668 | + | 3.87847i | −0.549518 | + | 0.152596i | ||||
\(647\) | 8.41599 | − | 42.3100i | 0.330867 | − | 1.66338i | −0.354405 | − | 0.935092i | \(-0.615317\pi\) |
0.685272 | − | 0.728287i | \(-0.259683\pi\) | |||||||
\(648\) | 2.51732 | − | 25.3311i | 0.0988898 | − | 0.995098i | ||||
\(649\) | 3.49121 | − | 0.694445i | 0.137042 | − | 0.0272593i | ||||
\(650\) | 3.17528 | − | 9.64039i | 0.124545 | − | 0.378127i | ||||
\(651\) | 29.4470 | + | 10.7701i | 1.15412 | + | 0.422113i | ||||
\(652\) | −5.28920 | + | 14.8653i | −0.207141 | + | 0.582171i | ||||
\(653\) | 17.7996 | + | 33.3006i | 0.696551 | + | 1.30315i | 0.942609 | + | 0.333900i | \(0.108365\pi\) |
−0.246058 | + | 0.969255i | \(0.579135\pi\) | |||||||
\(654\) | −22.8183 | + | 12.7422i | −0.892266 | + | 0.498258i | ||||
\(655\) | 16.7432 | + | 6.93528i | 0.654212 | + | 0.270984i | ||||
\(656\) | −13.2981 | + | 1.35736i | −0.519203 | + | 0.0529960i | ||||
\(657\) | −19.2638 | − | 2.17080i | −0.751553 | − | 0.0846908i | ||||
\(658\) | 21.4988 | + | 55.5867i | 0.838109 | + | 2.16699i | ||||
\(659\) | 12.3748 | + | 3.75386i | 0.482054 | + | 0.146229i | 0.521953 | − | 0.852974i | \(-0.325204\pi\) |
−0.0398990 | + | 0.999204i | \(0.512704\pi\) | |||||||
\(660\) | 1.89125 | + | 0.795032i | 0.0736166 | + | 0.0309466i | ||||
\(661\) | −3.78817 | + | 38.4619i | −0.147343 | + | 1.49600i | 0.582753 | + | 0.812650i | \(0.301976\pi\) |
−0.730095 | + | 0.683345i | \(0.760524\pi\) | |||||||
\(662\) | 19.4013 | + | 16.7058i | 0.754055 | + | 0.649288i | ||||
\(663\) | 8.93051 | + | 0.501592i | 0.346832 | + | 0.0194802i | ||||
\(664\) | 17.7790 | − | 4.04208i | 0.689958 | − | 0.156863i | ||||
\(665\) | −35.8819 | + | 23.9755i | −1.39144 | + | 0.929731i | ||||
\(666\) | −1.30227 | − | 8.13933i | −0.0504619 | − | 0.315393i | ||||
\(667\) | −1.78396 | − | 5.88093i | −0.0690752 | − | 0.227710i | ||||
\(668\) | 29.8231 | − | 40.3611i | 1.15389 | − | 1.56162i | ||||
\(669\) | 6.86313 | − | 44.1308i | 0.265344 | − | 1.70620i | ||||
\(670\) | −7.43735 | + | 33.2579i | −0.287330 | + | 1.28486i | ||||
\(671\) | 1.79208 | + | 1.79208i | 0.0691826 | + | 0.0691826i | ||||
\(672\) | −9.82274 | + | 35.1407i | −0.378920 | + | 1.35558i | ||||
\(673\) | −12.8376 | + | 12.8376i | −0.494852 | + | 0.494852i | −0.909831 | − | 0.414979i | \(-0.863789\pi\) |
0.414979 | + | 0.909831i | \(0.363789\pi\) | |||||||
\(674\) | −1.09836 | − | 1.73110i | −0.0423073 | − | 0.0666796i | ||||
\(675\) | 8.60561 | + | 6.66777i | 0.331230 | + | 0.256643i | ||||
\(676\) | 0.610459 | − | 2.45555i | 0.0234792 | − | 0.0944441i | ||||
\(677\) | −4.40566 | + | 1.33644i | −0.169323 | + | 0.0513636i | −0.373808 | − | 0.927506i | \(-0.621948\pi\) |
0.204485 | + | 0.978870i | \(0.434448\pi\) | |||||||
\(678\) | −29.9750 | + | 13.0676i | −1.15118 | + | 0.501859i | ||||
\(679\) | 30.0487 | + | 44.9711i | 1.15316 | + | 1.72583i | ||||
\(680\) | 2.96265 | + | 6.63595i | 0.113612 | + | 0.254477i | ||||
\(681\) | −15.2278 | − | 0.855286i | −0.583530 | − | 0.0327746i | ||||
\(682\) | 2.38214 | − | 0.177840i | 0.0912170 | − | 0.00680985i | ||||
\(683\) | 32.8115 | + | 3.23165i | 1.25550 | + | 0.123656i | 0.703806 | − | 0.710392i | \(-0.251482\pi\) |
0.551692 | + | 0.834048i | \(0.313982\pi\) | |||||||
\(684\) | 39.4476 | + | 10.3970i | 1.50832 | + | 0.397539i | ||||
\(685\) | 4.92728 | − | 16.2431i | 0.188262 | − | 0.620616i | ||||
\(686\) | 0.280610 | − | 0.634562i | 0.0107137 | − | 0.0242277i | ||||
\(687\) | 0.0405810 | + | 0.0305408i | 0.00154826 | + | 0.00116520i | ||||
\(688\) | −1.60014 | − | 2.37650i | −0.0610049 | − | 0.0906034i | ||||
\(689\) | −6.83157 | + | 16.4929i | −0.260262 | + | 0.628329i | ||||
\(690\) | −4.41707 | − | 1.25158i | −0.168155 | − | 0.0476470i | ||||
\(691\) | −30.1485 | + | 16.1147i | −1.14690 | + | 0.613032i | −0.931589 | − | 0.363513i | \(-0.881577\pi\) |
−0.215313 | + | 0.976545i | \(0.569077\pi\) | |||||||
\(692\) | −47.6348 | + | 2.42478i | −1.81080 | + | 0.0921765i | ||||
\(693\) | −0.703820 | − | 3.81770i | −0.0267359 | − | 0.145023i | ||||
\(694\) | 17.8774 | − | 9.01858i | 0.678616 | − | 0.342341i | ||||
\(695\) | −6.39228 | − | 32.1362i | −0.242473 | − | 1.21899i | ||||
\(696\) | 24.5082 | − | 12.2027i | 0.928982 | − | 0.462543i | ||||
\(697\) | 4.94099 | + | 0.982824i | 0.187153 | + | 0.0372271i | ||||
\(698\) | 12.8692 | − | 22.7643i | 0.487105 | − | 0.861640i | ||||
\(699\) | −17.5678 | + | 0.739473i | −0.664477 | + | 0.0279694i | ||||
\(700\) | −10.4997 | − | 11.5435i | −0.396853 | − | 0.436303i | ||||
\(701\) | −27.9627 | + | 2.75409i | −1.05614 | + | 0.104020i | −0.611148 | − | 0.791516i | \(-0.709292\pi\) |
−0.444988 | + | 0.895536i | \(0.646792\pi\) | |||||||
\(702\) | −20.9915 | − | 13.8938i | −0.792275 | − | 0.524387i | ||||
\(703\) | 13.2097 | 0.498215 | ||||||||
\(704\) | 0.422500 | + | 2.74753i | 0.0159236 | + | 0.103552i | ||||
\(705\) | −16.9732 | − | 28.7742i | −0.639248 | − | 1.08370i | ||||
\(706\) | −36.7485 | − | 25.8325i | −1.38305 | − | 0.972220i | ||||
\(707\) | −3.51476 | − | 35.6859i | −0.132186 | − | 1.34211i | ||||
\(708\) | −16.5638 | − | 31.3838i | −0.622507 | − | 1.17947i | ||||
\(709\) | −24.1386 | − | 12.9024i | −0.906544 | − | 0.484558i | −0.0489014 | − | 0.998804i | \(-0.515572\pi\) |
−0.857643 | + | 0.514246i | \(0.828072\pi\) | |||||||
\(710\) | 7.81711 | − | 13.8277i | 0.293371 | − | 0.518944i | ||||
\(711\) | −13.1597 | − | 11.1127i | −0.493526 | − | 0.416758i | ||||
\(712\) | 19.5971 | − | 39.1918i | 0.734432 | − | 1.46878i | ||||
\(713\) | −5.24287 | + | 1.04287i | −0.196347 | + | 0.0390559i | ||||
\(714\) | 7.42809 | − | 11.5726i | 0.277989 | − | 0.433093i | ||||
\(715\) | 1.56826 | − | 1.28704i | 0.0586495 | − | 0.0481324i | ||||
\(716\) | 32.3244 | + | 29.1929i | 1.20802 | + | 1.09099i | ||||
\(717\) | −12.8178 | + | 21.0487i | −0.478690 | + | 0.786078i | ||||
\(718\) | 8.67833 | − | 8.27713i | 0.323872 | − | 0.308900i | ||||
\(719\) | 4.91316 | + | 2.03510i | 0.183230 | + | 0.0758963i | 0.472412 | − | 0.881378i | \(-0.343383\pi\) |
−0.289182 | + | 0.957274i | \(0.593383\pi\) | |||||||
\(720\) | 2.21819 | − | 20.3319i | 0.0826672 | − | 0.757723i | ||||
\(721\) | 50.4807 | − | 20.9098i | 1.88000 | − | 0.778721i | ||||
\(722\) | −15.5731 | + | 35.2167i | −0.579572 | + | 1.31063i | ||||
\(723\) | 12.9504 | − | 3.14746i | 0.481631 | − | 0.117055i | ||||
\(724\) | −11.5577 | − | 6.89961i | −0.429539 | − | 0.256422i | ||||
\(725\) | −1.14764 | + | 11.6522i | −0.0426223 | + | 0.432751i | ||||
\(726\) | 15.2106 | + | 21.8812i | 0.564517 | + | 0.812088i | ||||
\(727\) | 21.3623 | + | 14.2738i | 0.792284 | + | 0.529387i | 0.884604 | − | 0.466342i | \(-0.154428\pi\) |
−0.0923206 | + | 0.995729i | \(0.529428\pi\) | |||||||
\(728\) | 26.1986 | + | 24.8107i | 0.970984 | + | 0.919545i | ||||
\(729\) | 21.5740 | − | 16.2346i | 0.799037 | − | 0.601282i | ||||
\(730\) | −15.4600 | − | 1.89290i | −0.572201 | − | 0.0700595i | ||||
\(731\) | 0.313436 | + | 1.03326i | 0.0115929 | + | 0.0382166i | ||||
\(732\) | 12.0271 | − | 22.2198i | 0.444533 | − | 0.821267i | ||||
\(733\) | 39.4968 | + | 32.4142i | 1.45885 | + | 1.19724i | 0.939438 | + | 0.342718i | \(0.111347\pi\) |
0.519408 | + | 0.854526i | \(0.326153\pi\) | |||||||
\(734\) | 17.9459 | + | 28.2842i | 0.662397 | + | 1.04399i | ||||
\(735\) | 5.06449 | − | 19.6328i | 0.186807 | − | 0.724168i | ||||
\(736\) | −1.68569 | − | 5.98794i | −0.0621352 | − | 0.220718i | ||||
\(737\) | 3.47395 | − | 3.47395i | 0.127965 | − | 0.127965i | ||||
\(738\) | −10.6130 | − | 9.40111i | −0.390670 | − | 0.346060i | ||||
\(739\) | −23.4151 | − | 19.2163i | −0.861340 | − | 0.706883i | 0.0961448 | − | 0.995367i | \(-0.469349\pi\) |
−0.957485 | + | 0.288484i | \(0.906849\pi\) | |||||||
\(740\) | −0.983364 | − | 6.54931i | −0.0361492 | − | 0.240757i | ||||
\(741\) | 27.3009 | − | 29.7002i | 1.00292 | − | 1.09106i | ||||
\(742\) | 16.9044 | + | 21.6214i | 0.620580 | + | 0.793748i | ||||
\(743\) | 13.1476 | + | 19.6768i | 0.482340 | + | 0.721873i | 0.990214 | − | 0.139558i | \(-0.0445683\pi\) |
−0.507874 | + | 0.861432i | \(0.669568\pi\) | |||||||
\(744\) | −8.47367 | − | 22.2557i | −0.310660 | − | 0.815935i | ||||
\(745\) | 19.6784 | + | 13.1487i | 0.720962 | + | 0.481731i | ||||
\(746\) | −5.66701 | − | 4.87964i | −0.207484 | − | 0.178656i | ||||
\(747\) | 15.9271 | + | 10.9687i | 0.582742 | + | 0.401323i | ||||
\(748\) | 0.151886 | − | 1.03659i | 0.00555350 | − | 0.0379014i | ||||
\(749\) | 14.9693 | − | 49.3471i | 0.546966 | − | 1.80310i | ||||
\(750\) | 23.2394 | + | 18.3667i | 0.848583 | + | 0.670656i | ||||
\(751\) | −8.25536 | + | 3.41948i | −0.301242 | + | 0.124779i | −0.528185 | − | 0.849130i | \(-0.677127\pi\) |
0.226942 | + | 0.973908i | \(0.427127\pi\) | |||||||
\(752\) | 21.1967 | − | 39.9967i | 0.772966 | − | 1.45853i | ||||
\(753\) | −32.6847 | + | 4.61407i | −1.19110 | + | 0.168146i | ||||
\(754\) | 0.640442 | − | 27.0664i | 0.0233235 | − | 0.985699i | ||||
\(755\) | −30.7184 | + | 16.4193i | −1.11796 | + | 0.597560i | ||||
\(756\) | −34.4768 | + | 17.5819i | −1.25391 | + | 0.639448i | ||||
\(757\) | 21.6679 | − | 17.7823i | 0.787532 | − | 0.646310i | −0.152151 | − | 0.988357i | \(-0.548620\pi\) |
0.939683 | + | 0.342047i | \(0.111120\pi\) | |||||||
\(758\) | −1.60209 | + | 4.86406i | −0.0581905 | + | 0.176671i | ||||
\(759\) | 0.441010 | + | 0.493498i | 0.0160076 | + | 0.0179128i | ||||
\(760\) | 31.6124 | + | 8.65791i | 1.14670 | + | 0.314055i | ||||
\(761\) | 34.4982 | + | 6.86212i | 1.25056 | + | 0.248752i | 0.775583 | − | 0.631246i | \(-0.217456\pi\) |
0.474977 | + | 0.879998i | \(0.342456\pi\) | |||||||
\(762\) | 6.63353 | + | 6.39367i | 0.240308 | + | 0.231618i | ||||
\(763\) | 35.0419 | + | 18.7303i | 1.26860 | + | 0.678081i | ||||
\(764\) | −9.30545 | − | 25.8624i | −0.336659 | − | 0.935668i | ||||
\(765\) | −3.04945 | + | 7.07924i | −0.110253 | + | 0.255950i | ||||
\(766\) | −0.238829 | − | 1.36920i | −0.00862926 | − | 0.0494713i | ||||
\(767\) | −35.0924 | −1.26711 | ||||||||
\(768\) | 25.0513 | − | 11.8505i | 0.903959 | − | 0.427618i | ||||
\(769\) | 6.15853 | 0.222082 | 0.111041 | − | 0.993816i | \(-0.464581\pi\) | ||||
0.111041 | + | 0.993816i | \(0.464581\pi\) | |||||||
\(770\) | −0.535958 | − | 3.07263i | −0.0193146 | − | 0.110730i | ||||
\(771\) | 34.4590 | − | 25.1835i | 1.24101 | − | 0.906963i | ||||
\(772\) | 1.13932 | + | 3.16650i | 0.0410052 | + | 0.113965i | ||||
\(773\) | −32.2014 | − | 17.2120i | −1.15820 | − | 0.619073i | −0.223572 | − | 0.974688i | \(-0.571772\pi\) |
−0.934633 | + | 0.355614i | \(0.884272\pi\) | |||||||
\(774\) | 0.704744 | − | 2.95594i | 0.0253315 | − | 0.106249i | ||||
\(775\) | 9.98877 | + | 1.98689i | 0.358807 | + | 0.0713712i | ||||
\(776\) | 10.8510 | − | 39.6200i | 0.389529 | − | 1.42228i | ||||
\(777\) | −9.34429 | + | 8.35044i | −0.335224 | + | 0.299570i | ||||
\(778\) | −6.23792 | + | 18.9388i | −0.223640 | + | 0.678988i | ||||
\(779\) | 17.5638 | − | 14.4142i | 0.629287 | − | 0.516443i | ||||
\(780\) | −16.7575 | − | 11.3247i | −0.600015 | − | 0.405488i | ||||
\(781\) | −2.01951 | + | 1.07945i | −0.0722639 | + | 0.0386259i | ||||
\(782\) | −0.0554584 | + | 2.34378i | −0.00198319 | + | 0.0838135i | ||||
\(783\) | 27.1293 | + | 10.3565i | 0.969522 | + | 0.370110i | ||||
\(784\) | 26.2616 | − | 8.06814i | 0.937915 | − | 0.288148i | ||||
\(785\) | −0.502043 | + | 0.207953i | −0.0179187 | + | 0.00742216i | ||||
\(786\) | −16.1497 | + | 20.4343i | −0.576042 | + | 0.728867i | ||||
\(787\) | −3.51502 | + | 11.5875i | −0.125297 | + | 0.413049i | −0.997037 | − | 0.0769192i | \(-0.975492\pi\) |
0.871740 | + | 0.489968i | \(0.162992\pi\) | |||||||
\(788\) | −2.38444 | + | 16.2732i | −0.0849420 | + | 0.579710i | ||||
\(789\) | 32.9464 | − | 15.3004i | 1.17292 | − | 0.544709i | ||||
\(790\) | −10.4868 | − | 9.02976i | −0.373103 | − | 0.321265i | ||||
\(791\) | 41.3356 | + | 27.6195i | 1.46972 | + | 0.982038i | ||||
\(792\) | −1.84032 | + | 2.30361i | −0.0653928 | + | 0.0818551i | ||||
\(793\) | −13.8811 | − | 20.7745i | −0.492932 | − | 0.737724i | ||||
\(794\) | 2.23653 | + | 2.86062i | 0.0793715 | + | 0.101520i | ||||
\(795\) | −11.3260 | − | 10.4110i | −0.401690 | − | 0.369240i | ||||
\(796\) | −3.81043 | − | 25.3779i | −0.135057 | − | 0.899495i | ||||
\(797\) | −4.06380 | − | 3.33508i | −0.143947 | − | 0.118134i | 0.559664 | − | 0.828720i | \(-0.310930\pi\) |
−0.703611 | + | 0.710585i | \(0.748430\pi\) | |||||||
\(798\) | −19.0933 | − | 59.0090i | −0.675896 | − | 2.08890i | ||||
\(799\) | −12.0631 | + | 12.0631i | −0.426764 | + | 0.426764i | ||||
\(800\) | −1.39864 | + | 11.7689i | −0.0494495 | + | 0.416093i | ||||
\(801\) | 44.6601 | − | 12.8656i | 1.57799 | − | 0.454585i | ||||
\(802\) | −13.4178 | − | 21.1475i | −0.473799 | − | 0.746746i | ||||
\(803\) | 1.73570 | + | 1.42445i | 0.0612515 | + | 0.0502678i | ||||
\(804\) | −43.0730 | − | 23.3144i | −1.51907 | − | 0.822237i | ||||
\(805\) | 2.02611 | + | 6.67920i | 0.0714111 | + | 0.235411i | ||||
\(806\) | −23.3752 | − | 2.86202i | −0.823355 | − | 0.100811i | ||||
\(807\) | 20.6055 | − | 42.7870i | 0.725348 | − | 1.50617i | ||||
\(808\) | −18.7271 | + | 19.7747i | −0.658818 | + | 0.695672i | ||||
\(809\) | −31.4847 | − | 21.0374i | −1.10694 | − | 0.739635i | −0.138871 | − | 0.990311i | \(-0.544347\pi\) |
−0.968071 | + | 0.250675i | \(0.919347\pi\) | |||||||
\(810\) | 17.4583 | − | 12.8764i | 0.613421 | − | 0.452430i | ||||
\(811\) | 3.31483 | − | 33.6560i | 0.116399 | − | 1.18182i | −0.742561 | − | 0.669779i | \(-0.766389\pi\) |
0.858960 | − | 0.512043i | \(-0.171111\pi\) | |||||||
\(812\) | −35.7395 | − | 21.3354i | −1.25421 | − | 0.748727i | ||||
\(813\) | 2.82101 | + | 11.6072i | 0.0989371 | + | 0.407082i | ||||
\(814\) | −0.386126 | + | 0.873173i | −0.0135337 | + | 0.0306047i | ||||
\(815\) | −12.4225 | + | 5.14558i | −0.435142 | + | 0.180242i | ||||
\(816\) | −10.3366 | + | 1.49659i | −0.361852 | + | 0.0523912i | ||||
\(817\) | 4.49918 | + | 1.86362i | 0.157406 | + | 0.0651998i | ||||
\(818\) | −14.1389 | + | 13.4852i | −0.494354 | + | 0.471500i | ||||
\(819\) | −0.537294 | + | 38.2673i | −0.0187746 | + | 1.33717i | ||||
\(820\) | −8.45397 | − | 7.63498i | −0.295225 | − | 0.266625i | ||||
\(821\) | −17.2057 | + | 14.1204i | −0.600485 | + | 0.492805i | −0.884828 | − | 0.465917i | \(-0.845724\pi\) |
0.284344 | + | 0.958722i | \(0.408224\pi\) | |||||||
\(822\) | 20.5294 | + | 13.1772i | 0.716046 | + | 0.459609i | ||||
\(823\) | 27.7734 | − | 5.52447i | 0.968119 | − | 0.192571i | 0.314385 | − | 0.949295i | \(-0.398202\pi\) |
0.653734 | + | 0.756725i | \(0.273202\pi\) | |||||||
\(824\) | −37.1179 | − | 18.5601i | −1.29306 | − | 0.646570i | ||||
\(825\) | −0.416453 | − | 1.19018i | −0.0144990 | − | 0.0414369i | ||||
\(826\) | −26.5508 | + | 46.9657i | −0.923820 | + | 1.63414i | ||||
\(827\) | −9.99404 | − | 5.34192i | −0.347527 | − | 0.185757i | 0.288393 | − | 0.957512i | \(-0.406879\pi\) |
−0.635920 | + | 0.771755i | \(0.719379\pi\) | |||||||
\(828\) | 3.46123 | − | 5.61729i | 0.120286 | − | 0.195214i | ||||
\(829\) | 2.48200 | + | 25.2001i | 0.0862033 | + | 0.875236i | 0.936904 | + | 0.349586i | \(0.113678\pi\) |
−0.850701 | + | 0.525650i | \(0.823822\pi\) | |||||||
\(830\) | 12.7113 | + | 8.93545i | 0.441215 | + | 0.310154i | ||||
\(831\) | −34.7546 | + | 20.5009i | −1.20562 | + | 0.711167i | ||||
\(832\) | 1.19914 | − | 27.3787i | 0.0415726 | − | 0.949185i | ||||
\(833\) | −10.3540 | −0.358744 | ||||||||
\(834\) | 46.9405 | + | 3.75215i | 1.62542 | + | 0.129926i | ||||
\(835\) | 42.5602 | − | 4.19182i | 1.47286 | − | 0.145064i | ||||
\(836\) | −3.17938 | − | 3.49544i | −0.109961 | − | 0.120892i | ||||
\(837\) | 11.2780 | − | 22.6013i | 0.389825 | − | 0.781214i | ||||
\(838\) | 0.456338 | − | 0.807217i | 0.0157639 | − | 0.0278849i | ||||
\(839\) | −26.0424 | − | 5.18015i | −0.899082 | − | 0.178839i | −0.276150 | − | 0.961115i | \(-0.589059\pi\) |
−0.622932 | + | 0.782276i | \(0.714059\pi\) | |||||||
\(840\) | −27.8349 | + | 13.8591i | −0.960397 | + | 0.478185i | ||||
\(841\) | 0.435380 | + | 2.18880i | 0.0150131 | + | 0.0754759i | ||||
\(842\) | −0.959283 | + | 0.483928i | −0.0330591 | + | 0.0166773i | ||||
\(843\) | −15.4722 | − | 5.65888i | −0.532892 | − | 0.194902i | ||||
\(844\) | −12.1944 | + | 0.620741i | −0.419750 | + | 0.0213668i | ||||
\(845\) | 1.90167 | − | 1.01646i | 0.0654194 | − | 0.0349674i | ||||
\(846\) | 46.4374 | − | 12.1957i | 1.59655 | − | 0.419298i | ||||
\(847\) | 15.5042 | − | 37.4305i | 0.532731 | − | 1.28613i | ||||
\(848\) | 3.99416 | − | 20.4588i | 0.137160 | − | 0.702557i | ||||
\(849\) | −23.1602 | + | 30.7740i | −0.794854 | + | 1.05616i | ||||
\(850\) | 1.80645 | − | 4.08505i | 0.0619607 | − | 0.140116i | ||||
\(851\) | 0.620196 | − | 2.04451i | 0.0212600 | − | 0.0700849i | ||||
\(852\) | 16.0574 | + | 16.2268i | 0.550116 | + | 0.555920i | ||||
\(853\) | 54.0251 | + | 5.32101i | 1.84978 | + | 0.182188i | 0.961076 | − | 0.276286i | \(-0.0891036\pi\) |
0.888708 | + | 0.458474i | \(0.151604\pi\) | |||||||
\(854\) | −38.3058 | + | 2.85974i | −1.31080 | + | 0.0978582i | ||||
\(855\) | 15.9559 | + | 30.8868i | 0.545682 | + | 1.05631i | ||||
\(856\) | −35.7638 | + | 15.9669i | −1.22238 | + | 0.545737i | ||||
\(857\) | 14.4581 | + | 21.6380i | 0.493878 | + | 0.739140i | 0.991761 | − | 0.128104i | \(-0.0408891\pi\) |
−0.497883 | + | 0.867244i | \(0.665889\pi\) | |||||||
\(858\) | 1.16519 | + | 2.67276i | 0.0397789 | + | 0.0912464i | ||||
\(859\) | −24.6171 | + | 7.46752i | −0.839925 | + | 0.254788i | −0.680799 | − | 0.732470i | \(-0.738367\pi\) |
−0.159125 | + | 0.987258i | \(0.550867\pi\) | |||||||
\(860\) | 0.589042 | − | 2.36940i | 0.0200862 | − | 0.0807957i | ||||
\(861\) | −3.31239 | + | 21.2991i | −0.112886 | + | 0.725872i | ||||
\(862\) | 7.45644 | + | 11.7519i | 0.253967 | + | 0.400273i | ||||
\(863\) | −13.8319 | + | 13.8319i | −0.470843 | + | 0.470843i | −0.902187 | − | 0.431345i | \(-0.858039\pi\) |
0.431345 | + | 0.902187i | \(0.358039\pi\) | |||||||
\(864\) | 27.2446 | + | 11.0332i | 0.926880 | + | 0.375359i | ||||
\(865\) | −28.7413 | − | 28.7413i | −0.977233 | − | 0.977233i | ||||
\(866\) | 8.62351 | − | 38.5620i | 0.293039 | − | 1.31039i | ||||
\(867\) | −25.2056 | − | 3.91993i | −0.856028 | − | 0.133128i | ||||
\(868\) | −21.5159 | + | 29.1186i | −0.730299 | + | 0.988350i | ||||
\(869\) | 0.579117 | + | 1.90909i | 0.0196452 | + | 0.0647616i | ||||
\(870\) | 21.7160 | + | 8.53017i | 0.736241 | + | 0.289200i | ||||
\(871\) | −40.2713 | + | 26.9084i | −1.36454 | + | 0.911758i | ||||
\(872\) | −6.69031 | − | 29.4271i | −0.226563 | − | 0.996529i | ||||
\(873\) | 38.7107 | − | 19.9977i | 1.31016 | − | 0.676820i | ||||
\(874\) | 8.01269 | + | 6.89942i | 0.271033 | + | 0.233376i | ||||
\(875\) | 4.41405 | − | 44.8166i | 0.149222 | − | 1.51508i | ||||
\(876\) | 8.67466 | − | 20.6355i | 0.293090 | − | 0.697211i | ||||
\(877\) | −5.47652 | − | 1.66128i | −0.184929 | − | 0.0560975i | 0.196462 | − | 0.980511i | \(-0.437055\pi\) |
−0.381391 | + | 0.924414i | \(0.624555\pi\) | |||||||
\(878\) | 7.79122 | + | 20.1448i | 0.262941 | + | 0.679854i | ||||
\(879\) | 12.8252 | + | 9.65207i | 0.432582 | + | 0.325556i | ||||
\(880\) | −1.49634 | + | 1.83653i | −0.0504414 | + | 0.0619093i | ||||
\(881\) | −36.3686 | − | 15.0644i | −1.22529 | − | 0.507531i | −0.326201 | − | 0.945301i | \(-0.605769\pi\) |
−0.899087 | + | 0.437770i | \(0.855769\pi\) | |||||||
\(882\) | 25.1628 | + | 14.6951i | 0.847276 | + | 0.494809i | ||||
\(883\) | 3.85833 | + | 7.21843i | 0.129843 | + | 0.242919i | 0.938439 | − | 0.345445i | \(-0.112272\pi\) |
−0.808596 | + | 0.588364i | \(0.799772\pi\) | |||||||
\(884\) | −3.46226 | + | 9.73071i | −0.116449 | + | 0.327279i | ||||
\(885\) | 10.3876 | − | 28.4013i | 0.349175 | − | 0.954698i | ||||
\(886\) | −6.43266 | + | 19.5300i | −0.216109 | + | 0.656124i | ||||
\(887\) | −46.5155 | + | 9.25252i | −1.56184 | + | 0.310669i | −0.898951 | − | 0.438049i | \(-0.855670\pi\) |
−0.662888 | + | 0.748718i | \(0.730670\pi\) | |||||||
\(888\) | 9.44127 | + | 1.20629i | 0.316828 | + | 0.0404806i | ||||
\(889\) | 2.73263 | − | 13.7379i | 0.0916495 | − | 0.460753i | ||||
\(890\) | 35.9799 | − | 9.99132i | 1.20605 | − | 0.334910i | ||||
\(891\) | −3.11963 | + | 0.219031i | −0.104511 | + | 0.00733781i | ||||
\(892\) | 46.6581 | + | 21.9665i | 1.56223 | + | 0.735494i | ||||
\(893\) | 7.54171 | + | 76.5723i | 0.252374 | + | 2.56239i | ||||
\(894\) | −25.8913 | + | 22.0585i | −0.865935 | + | 0.737746i | ||||
\(895\) | 37.1175i | 1.24070i | ||||||||
\(896\) | −35.7348 | − | 22.3195i | −1.19382 | − | 0.745641i | ||||
\(897\) | −3.31501 | − | 5.61986i | −0.110685 | − | 0.187642i | ||||
\(898\) | −4.08561 | − | 23.4227i | −0.136339 | − | 0.781626i | ||||
\(899\) | 27.0354 | − | 2.66276i | 0.901682 | − | 0.0888080i | ||||
\(900\) | −10.1879 | + | 7.36390i | −0.339598 | + | 0.245463i | ||||
\(901\) | −3.70330 | + | 6.92840i | −0.123375 | + | 0.230818i | ||||
\(902\) | 0.439394 | + | 1.58231i | 0.0146302 | + | 0.0526852i | ||||
\(903\) | −4.36070 | + | 1.52584i | −0.145115 | + | 0.0507767i | ||||
\(904\) | −4.72162 | − | 37.4618i | −0.157039 | − | 1.24596i | ||||
\(905\) | −2.23786 | − | 11.2505i | −0.0743889 | − | 0.373978i | ||||
\(906\) | −10.6681 | − | 48.9087i | −0.354425 | − | 1.62488i | ||||
\(907\) | −12.2221 | − | 14.8926i | −0.405827 | − | 0.494502i | 0.529488 | − | 0.848317i | \(-0.322384\pi\) |
−0.935315 | + | 0.353815i | \(0.884884\pi\) | |||||||
\(908\) | 5.90365 | − | 16.5923i | 0.195920 | − | 0.550633i | ||||
\(909\) | −28.8842 | − | 0.405550i | −0.958029 | − | 0.0134512i | ||||
\(910\) | −0.727375 | + | 30.7403i | −0.0241122 | + | 1.01903i | ||||
\(911\) | −6.28246 | + | 15.1672i | −0.208147 | + | 0.502511i | −0.993131 | − | 0.117004i | \(-0.962671\pi\) |
0.784984 | + | 0.619516i | \(0.212671\pi\) | |||||||
\(912\) | −24.3574 | + | 40.3195i | −0.806555 | + | 1.33511i | ||||
\(913\) | −0.857181 | − | 2.06942i | −0.0283686 | − | 0.0684878i | ||||
\(914\) | −28.1537 | + | 10.8888i | −0.931242 | + | 0.360168i | ||||
\(915\) | 20.9223 | − | 5.08495i | 0.691669 | − | 0.168103i | ||||
\(916\) | −0.0470433 | + | 0.0350191i | −0.00155435 | + | 0.00115706i | ||||
\(917\) | 39.4070 | + | 3.88125i | 1.30133 | + | 0.128170i | ||||
\(918\) | −8.59397 | − | 6.99025i | −0.283643 | − | 0.230713i | ||||
\(919\) | −3.84256 | + | 5.75079i | −0.126754 | + | 0.189701i | −0.889419 | − | 0.457093i | \(-0.848891\pi\) |
0.762665 | + | 0.646794i | \(0.223891\pi\) | |||||||
\(920\) | 2.82421 | − | 4.48625i | 0.0931113 | − | 0.147907i | ||||
\(921\) | 30.6815 | + | 14.7757i | 1.01099 | + | 0.486876i | ||||
\(922\) | −1.18273 | − | 1.51277i | −0.0389513 | − | 0.0498204i | ||||
\(923\) | 21.6029 | − | 6.55318i | 0.711070 | − | 0.215701i | ||||
\(924\) | 4.45864 | + | 0.462774i | 0.146679 | + | 0.0152241i | ||||
\(925\) | −2.58230 | + | 3.14654i | −0.0849053 | + | 0.103457i | ||||
\(926\) | −24.3385 | − | 5.44275i | −0.799814 | − | 0.178860i | ||||
\(927\) | −12.1848 | − | 42.2968i | −0.400202 | − | 1.38921i | ||||
\(928\) | 5.54267 | + | 31.1238i | 0.181947 | + | 1.02169i | ||||
\(929\) | −3.09852 | − | 3.09852i | −0.101659 | − | 0.101659i | 0.654448 | − | 0.756107i | \(-0.272901\pi\) |
−0.756107 | + | 0.654448i | \(0.772901\pi\) | |||||||
\(930\) | 9.23553 | − | 18.0710i | 0.302845 | − | 0.592572i | ||||
\(931\) | −29.6250 | + | 36.0981i | −0.970919 | + | 1.18307i | ||||
\(932\) | 4.89845 | − | 19.7038i | 0.160454 | − | 0.645419i | ||||
\(933\) | −12.2029 | + | 13.2753i | −0.399504 | + | 0.434614i | ||||
\(934\) | −5.16045 | − | 0.631839i | −0.168855 | − | 0.0206744i | ||||
\(935\) | 0.742335 | − | 0.496012i | 0.0242769 | − | 0.0162213i | ||||
\(936\) | 22.2247 | − | 18.7343i | 0.726437 | − | 0.612349i | ||||
\(937\) | −24.2427 | + | 36.2818i | −0.791975 | + | 1.18527i | 0.187213 | + | 0.982319i | \(0.440055\pi\) |
−0.979188 | + | 0.202955i | \(0.934945\pi\) | |||||||
\(938\) | 5.54360 | + | 74.2557i | 0.181005 | + | 2.42453i | ||||
\(939\) | −2.91953 | − | 6.28662i | −0.0952751 | − | 0.205156i | ||||
\(940\) | 37.4027 | − | 9.43936i | 1.21994 | − | 0.307878i | ||||
\(941\) | −6.36296 | − | 1.93018i | −0.207426 | − | 0.0629221i | 0.184862 | − | 0.982765i | \(-0.440816\pi\) |
−0.392288 | + | 0.919842i | \(0.628316\pi\) | |||||||
\(942\) | −0.0908435 | − | 0.775671i | −0.00295984 | − | 0.0252727i | ||||
\(943\) | −1.40631 | − | 3.39514i | −0.0457959 | − | 0.110561i | ||||
\(944\) | 40.1605 | − | 8.13652i | 1.30711 | − | 0.264821i | ||||
\(945\) | −30.8118 | − | 11.7623i | −1.00231 | − | 0.382626i | ||||
\(946\) | −0.254699 | + | 0.242924i | −0.00828099 | + | 0.00789816i | ||||
\(947\) | −21.8295 | − | 40.8402i | −0.709365 | − | 1.32713i | −0.935602 | − | 0.353056i | \(-0.885143\pi\) |
0.226238 | − | 0.974072i | \(-0.427357\pi\) | |||||||
\(948\) | 16.5946 | − | 10.9626i | 0.538966 | − | 0.356049i | ||||
\(949\) | −14.0430 | − | 17.1114i | −0.455854 | − | 0.555459i | ||||
\(950\) | −9.07350 | − | 17.9862i | −0.294383 | − | 0.583551i | ||||
\(951\) | 22.5137 | + | 25.1932i | 0.730056 | + | 0.816946i | ||||
\(952\) | 10.4035 | + | 11.9959i | 0.337179 | + | 0.388790i | ||||
\(953\) | 5.30919 | − | 26.6911i | 0.171982 | − | 0.864610i | −0.794380 | − | 0.607422i | \(-0.792204\pi\) |
0.966361 | − | 0.257189i | \(-0.0827961\pi\) | |||||||
\(954\) | 18.8332 | − | 11.5818i | 0.609749 | − | 0.374975i | ||||
\(955\) | 11.0414 | − | 20.6571i | 0.357293 | − | 0.668447i | ||||
\(956\) | −19.1478 | − | 21.0512i | −0.619284 | − | 0.680845i | ||||
\(957\) | −1.98460 | − | 2.71555i | −0.0641529 | − | 0.0877814i | ||||
\(958\) | −0.940753 | − | 0.661307i | −0.0303944 | − | 0.0213659i | ||||
\(959\) | − | 37.0876i | − | 1.19762i | ||||||
\(960\) | 21.8034 | + | 9.07478i | 0.703701 | + | 0.292887i | ||||
\(961\) | 7.36998i | 0.237741i | ||||||||
\(962\) | 5.41285 | − | 7.70014i | 0.174517 | − | 0.248263i | ||||
\(963\) | −38.1528 | − | 16.4347i | −1.22946 | − | 0.529600i | ||||
\(964\) | −0.727866 | + | 15.3719i | −0.0234430 | + | 0.495096i | ||||
\(965\) | −1.35187 | + | 2.52918i | −0.0435183 | + | 0.0814171i | ||||
\(966\) | −10.0294 | + | 0.184663i | −0.322692 | + | 0.00594145i | ||||
\(967\) | −4.81896 | + | 24.2265i | −0.154967 | + | 0.779073i | 0.822628 | + | 0.568580i | \(0.192507\pi\) |
−0.977595 | + | 0.210493i | \(0.932493\pi\) | |||||||
\(968\) | −29.1923 | + | 9.73001i | −0.938278 | + | 0.312734i | ||||
\(969\) | 13.2375 | − | 11.8296i | 0.425251 | − | 0.380022i | ||||
\(970\) | 31.2552 | − | 15.7673i | 1.00354 | − | 0.506257i | ||||
\(971\) | 12.1856 | + | 14.8481i | 0.391053 | + | 0.476499i | 0.930905 | − | 0.365260i | \(-0.119020\pi\) |
−0.539852 | + | 0.841760i | \(0.681520\pi\) | |||||||
\(972\) | 10.9645 | + | 29.1853i | 0.351687 | + | 0.936118i | ||||
\(973\) | −33.7483 | − | 63.1387i | −1.08192 | − | 2.02413i | ||||
\(974\) | 18.8141 | + | 19.7261i | 0.602844 | + | 0.632064i | ||||
\(975\) | 1.73764 | + | 12.3089i | 0.0556491 | + | 0.394202i | ||||
\(976\) | 20.7026 | + | 20.5563i | 0.662673 | + | 0.657992i | ||||
\(977\) | 10.5377 | + | 25.4403i | 0.337131 | + | 0.813906i | 0.997989 | + | 0.0633950i | \(0.0201928\pi\) |
−0.660857 | + | 0.750511i | \(0.729807\pi\) | |||||||
\(978\) | −2.24783 | − | 19.1932i | −0.0718776 | − | 0.613730i | ||||
\(979\) | −5.15138 | − | 1.56265i | −0.164639 | − | 0.0499426i | ||||
\(980\) | 20.1026 | + | 12.0006i | 0.642154 | + | 0.383347i | ||||
\(981\) | 18.1550 | − | 26.3620i | 0.579643 | − | 0.841673i | ||||
\(982\) | −11.3016 | + | 0.843728i | −0.360649 | + | 0.0269245i | ||||
\(983\) | 16.4020 | − | 24.5473i | 0.523143 | − | 0.782938i | −0.471977 | − | 0.881611i | \(-0.656460\pi\) |
0.995120 | + | 0.0986724i | \(0.0314596\pi\) | |||||||
\(984\) | 13.8695 | − | 8.69824i | 0.442143 | − | 0.277290i | ||||
\(985\) | −11.6538 | + | 7.78683i | −0.371321 | + | 0.248109i | ||||
\(986\) | 1.44797 | − | 11.8261i | 0.0461129 | − | 0.376620i | ||||
\(987\) | −53.7395 | − | 49.3982i | −1.71055 | − | 1.57236i | ||||
\(988\) | 24.0189 | + | 39.9125i | 0.764143 | + | 1.26979i | ||||
\(989\) | 0.499674 | − | 0.608854i | 0.0158887 | − | 0.0193604i | ||||
\(990\) | −2.50804 | + | 0.151866i | −0.0797107 | + | 0.00482661i | ||||
\(991\) | 38.5439 | + | 38.5439i | 1.22439 | + | 1.22439i | 0.966057 | + | 0.258329i | \(0.0831718\pi\) |
0.258329 | + | 0.966057i | \(0.416828\pi\) | |||||||
\(992\) | 27.4146 | − | 2.14440i | 0.870416 | − | 0.0680848i | ||||
\(993\) | −30.3627 | − | 7.83238i | −0.963532 | − | 0.248553i | ||||
\(994\) | 7.57430 | − | 33.8703i | 0.240242 | − | 1.07430i | ||||
\(995\) | 13.8736 | − | 16.9051i | 0.439823 | − | 0.535926i | ||||
\(996\) | −17.3357 | + | 14.0755i | −0.549303 | + | 0.445998i | ||||
\(997\) | −9.16685 | + | 2.78073i | −0.290317 | + | 0.0880667i | −0.432084 | − | 0.901833i | \(-0.642222\pi\) |
0.141767 | + | 0.989900i | \(0.454722\pi\) | |||||||
\(998\) | −25.5483 | + | 19.9745i | −0.808716 | + | 0.632282i | ||||
\(999\) | 5.84173 | + | 8.23353i | 0.184824 | + | 0.260497i |
(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 | 384.2.w.a.11.27 | ✓ | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.11.36 | yes | 992 | |
128.35 | odd | 32 | inner | 384.2.w.a.35.36 | yes | 992 | |
384.35 | even | 32 | inner | 384.2.w.a.35.27 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.11.27 | ✓ | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.11.36 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.35.27 | yes | 992 | 384.35 | even | 32 | inner | |
384.2.w.a.35.36 | yes | 992 | 128.35 | odd | 32 | inner |