Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.37 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.37 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.450158 | − | 1.14698i | 0.318310 | − | 0.811040i | −0.678747 | − | 0.734372i | \(-0.737477\pi\) |
0.997057 | − | 0.0766679i | \(-0.0244281\pi\) | |||||||
\(3\) | 1.11280 | + | 1.32728i | 0.642478 | + | 0.766304i | ||||
\(4\) | 0.353173 | + | 0.327697i | 0.176587 | + | 0.163848i | ||||
\(5\) | 2.77253 | − | 1.33518i | 1.23991 | − | 0.597111i | 0.305124 | − | 0.952313i | \(-0.401302\pi\) |
0.934790 | + | 0.355202i | \(0.115588\pi\) | |||||||
\(6\) | 2.02330 | − | 0.678884i | 0.826011 | − | 0.277153i | ||||
\(7\) | −2.54147 | + | 0.735474i | −0.960586 | + | 0.277983i | ||||
\(8\) | 2.75512 | − | 1.32680i | 0.974082 | − | 0.469093i | ||||
\(9\) | −0.523334 | + | 2.95400i | −0.174445 | + | 0.984667i | ||||
\(10\) | −0.283354 | − | 3.78109i | −0.0896043 | − | 1.19569i | ||||
\(11\) | −1.98343 | − | 2.48714i | −0.598026 | − | 0.749901i | 0.387043 | − | 0.922062i | \(-0.373497\pi\) |
−0.985069 | + | 0.172161i | \(0.944925\pi\) | |||||||
\(12\) | −0.0419322 | + | 0.833422i | −0.0121048 | + | 0.240588i | ||||
\(13\) | 1.46573 | − | 3.73461i | 0.406519 | − | 1.03579i | −0.570244 | − | 0.821475i | \(-0.693151\pi\) |
0.976764 | − | 0.214319i | \(-0.0687533\pi\) | |||||||
\(14\) | −0.300487 | + | 3.24611i | −0.0803085 | + | 0.867559i | ||||
\(15\) | 4.85744 | + | 2.19412i | 1.25419 | + | 0.566521i | ||||
\(16\) | −0.209567 | − | 2.79647i | −0.0523917 | − | 0.699118i | ||||
\(17\) | 2.24234 | − | 2.08059i | 0.543848 | − | 0.504617i | −0.359721 | − | 0.933060i | \(-0.617128\pi\) |
0.903569 | + | 0.428443i | \(0.140938\pi\) | |||||||
\(18\) | 3.15261 | + | 1.93002i | 0.743077 | + | 0.454911i | ||||
\(19\) | −3.97554 | + | 6.88584i | −0.912052 | + | 1.57972i | −0.100891 | + | 0.994897i | \(0.532169\pi\) |
−0.811161 | + | 0.584823i | \(0.801164\pi\) | |||||||
\(20\) | 1.41672 | + | 0.437000i | 0.316788 | + | 0.0977161i | ||||
\(21\) | −3.80434 | − | 2.55480i | −0.830175 | − | 0.557503i | ||||
\(22\) | −3.74557 | + | 1.15535i | −0.798558 | + | 0.246322i | ||||
\(23\) | −1.53316 | + | 6.71722i | −0.319686 | + | 1.40064i | 0.518418 | + | 0.855127i | \(0.326521\pi\) |
−0.838104 | + | 0.545510i | \(0.816336\pi\) | |||||||
\(24\) | 4.82694 | + | 2.18035i | 0.985294 | + | 0.445061i | ||||
\(25\) | 2.78677 | − | 3.49450i | 0.557354 | − | 0.698900i | ||||
\(26\) | −3.62373 | − | 3.36233i | −0.710672 | − | 0.659407i | ||||
\(27\) | −4.50315 | + | 2.59261i | −0.866631 | + | 0.498949i | ||||
\(28\) | −1.13859 | − | 0.573083i | −0.215174 | − | 0.108302i | ||||
\(29\) | 2.40067 | + | 0.740509i | 0.445793 | + | 0.137509i | 0.509521 | − | 0.860458i | \(-0.329823\pi\) |
−0.0637275 | + | 0.997967i | \(0.520299\pi\) | |||||||
\(30\) | 4.70324 | − | 4.58370i | 0.858691 | − | 0.836866i | ||||
\(31\) | −0.485385 | + | 0.840711i | −0.0871777 | + | 0.150996i | −0.906317 | − | 0.422598i | \(-0.861118\pi\) |
0.819139 | + | 0.573594i | \(0.194451\pi\) | |||||||
\(32\) | 2.54235 | + | 0.784210i | 0.449428 | + | 0.138630i | ||||
\(33\) | 1.09396 | − | 5.40026i | 0.190434 | − | 0.940065i | ||||
\(34\) | −1.37700 | − | 3.50853i | −0.236153 | − | 0.601708i | ||||
\(35\) | −6.06432 | + | 5.43245i | −1.02506 | + | 0.918251i | ||||
\(36\) | −1.15284 | + | 0.871779i | −0.192141 | + | 0.145297i | ||||
\(37\) | −8.97603 | − | 2.76874i | −1.47565 | − | 0.455178i | −0.550518 | − | 0.834823i | \(-0.685570\pi\) |
−0.925132 | + | 0.379646i | \(0.876046\pi\) | |||||||
\(38\) | 6.10833 | + | 7.65960i | 0.990902 | + | 1.24255i | ||||
\(39\) | 6.58793 | − | 2.21046i | 1.05491 | − | 0.353957i | ||||
\(40\) | 5.86714 | − | 7.35716i | 0.927677 | − | 1.16327i | ||||
\(41\) | −5.30367 | − | 3.61598i | −0.828295 | − | 0.564722i | 0.0732968 | − | 0.997310i | \(-0.476648\pi\) |
−0.901592 | + | 0.432588i | \(0.857600\pi\) | |||||||
\(42\) | −4.64287 | + | 3.21345i | −0.716410 | + | 0.495846i | ||||
\(43\) | 8.41211 | − | 5.73528i | 1.28283 | − | 0.874622i | 0.286328 | − | 0.958132i | \(-0.407565\pi\) |
0.996507 | + | 0.0835099i | \(0.0266130\pi\) | |||||||
\(44\) | 0.114534 | − | 1.52836i | 0.0172667 | − | 0.230408i | ||||
\(45\) | 2.49316 | + | 8.88880i | 0.371659 | + | 1.32506i | ||||
\(46\) | 7.01438 | + | 4.78232i | 1.03421 | + | 0.705115i | ||||
\(47\) | 0.883378 | − | 2.25081i | 0.128854 | − | 0.328314i | −0.851858 | − | 0.523773i | \(-0.824524\pi\) |
0.980712 | + | 0.195458i | \(0.0626194\pi\) | |||||||
\(48\) | 3.47849 | − | 3.39008i | 0.502077 | − | 0.489316i | ||||
\(49\) | 5.91816 | − | 3.73837i | 0.845451 | − | 0.534053i | ||||
\(50\) | −2.75365 | − | 4.76946i | −0.389425 | − | 0.674503i | ||||
\(51\) | 5.25681 | + | 0.660923i | 0.736101 | + | 0.0925478i | ||||
\(52\) | 1.74148 | − | 0.838651i | 0.241499 | − | 0.116300i | ||||
\(53\) | −6.37238 | + | 1.96562i | −0.875314 | + | 0.269999i | −0.699679 | − | 0.714457i | \(-0.746674\pi\) |
−0.175634 | + | 0.984455i | \(0.556198\pi\) | |||||||
\(54\) | 0.946559 | + | 6.33213i | 0.128810 | + | 0.861693i | ||||
\(55\) | −8.81990 | − | 4.24744i | −1.18927 | − | 0.572725i | ||||
\(56\) | −6.02624 | + | 5.39833i | −0.805290 | + | 0.721383i | ||||
\(57\) | −13.5634 | + | 2.38594i | −1.79652 | + | 0.316026i | ||||
\(58\) | 1.93003 | − | 2.42019i | 0.253426 | − | 0.317786i | ||||
\(59\) | −7.45201 | + | 5.08070i | −0.970169 | + | 0.661450i | −0.941100 | − | 0.338127i | \(-0.890207\pi\) |
−0.0290689 | + | 0.999577i | \(0.509254\pi\) | |||||||
\(60\) | 0.996510 | + | 2.36667i | 0.128649 | + | 0.305536i | ||||
\(61\) | −6.83586 | + | 6.34275i | −0.875243 | + | 0.812106i | −0.983291 | − | 0.182039i | \(-0.941730\pi\) |
0.108049 | + | 0.994146i | \(0.465540\pi\) | |||||||
\(62\) | 0.745782 | + | 0.935182i | 0.0947145 | + | 0.118768i | ||||
\(63\) | −0.842553 | − | 7.89241i | −0.106152 | − | 0.994350i | ||||
\(64\) | 5.54086 | − | 6.94801i | 0.692607 | − | 0.868502i | ||||
\(65\) | −0.922606 | − | 12.3113i | −0.114435 | − | 1.52703i | ||||
\(66\) | −5.70156 | − | 3.68573i | −0.701814 | − | 0.453682i | ||||
\(67\) | 5.24247 | − | 9.08022i | 0.640469 | − | 1.10933i | −0.344859 | − | 0.938655i | \(-0.612073\pi\) |
0.985328 | − | 0.170671i | \(-0.0545934\pi\) | |||||||
\(68\) | 1.47374 | 0.178717 | ||||||||
\(69\) | −10.6217 | + | 5.44002i | −1.27871 | + | 0.654901i | ||||
\(70\) | 3.50103 | + | 9.40114i | 0.418453 | + | 1.12365i | ||||
\(71\) | −0.0840867 | + | 0.368408i | −0.00997925 | + | 0.0437220i | −0.979672 | − | 0.200604i | \(-0.935710\pi\) |
0.969693 | + | 0.244326i | \(0.0785667\pi\) | |||||||
\(72\) | 2.47751 | + | 8.83299i | 0.291977 | + | 1.04098i | ||||
\(73\) | 4.94972 | + | 0.746050i | 0.579321 | + | 0.0873185i | 0.432165 | − | 0.901795i | \(-0.357750\pi\) |
0.147156 | + | 0.989113i | \(0.452988\pi\) | |||||||
\(74\) | −7.21633 | + | 9.04899i | −0.838881 | + | 1.05192i | ||||
\(75\) | 7.73930 | − | 0.189874i | 0.893657 | − | 0.0219248i | ||||
\(76\) | −3.66053 | + | 1.12912i | −0.419891 | + | 0.129519i | ||||
\(77\) | 6.87006 | + | 4.86224i | 0.782916 | + | 0.554103i | ||||
\(78\) | 0.430245 | − | 8.55131i | 0.0487157 | − | 0.968245i | ||||
\(79\) | −7.56694 | − | 13.1063i | −0.851347 | − | 1.47458i | −0.879993 | − | 0.474987i | \(-0.842453\pi\) |
0.0286458 | − | 0.999590i | \(-0.490880\pi\) | |||||||
\(80\) | −4.31482 | − | 7.47349i | −0.482412 | − | 0.835562i | ||||
\(81\) | −8.45224 | − | 3.09186i | −0.939138 | − | 0.343540i | ||||
\(82\) | −6.53497 | + | 4.45547i | −0.721666 | + | 0.492024i | ||||
\(83\) | 1.82611 | + | 4.65285i | 0.200442 | + | 0.510717i | 0.995384 | − | 0.0959674i | \(-0.0305945\pi\) |
−0.794943 | + | 0.606684i | \(0.792499\pi\) | |||||||
\(84\) | −0.506391 | − | 2.14896i | −0.0552517 | − | 0.234471i | ||||
\(85\) | 3.43900 | − | 8.76244i | 0.373012 | − | 0.950420i | ||||
\(86\) | −2.79149 | − | 12.2303i | −0.301015 | − | 1.31883i | ||||
\(87\) | 1.68862 | + | 4.01040i | 0.181039 | + | 0.429960i | ||||
\(88\) | −8.76451 | − | 4.22077i | −0.934300 | − | 0.449935i | ||||
\(89\) | 0.732081 | + | 1.86531i | 0.0776005 | + | 0.197723i | 0.964409 | − | 0.264413i | \(-0.0851783\pi\) |
−0.886809 | + | 0.462136i | \(0.847083\pi\) | |||||||
\(90\) | 11.3176 | + | 1.14175i | 1.19298 | + | 0.120351i | ||||
\(91\) | −0.978393 | + | 10.5694i | −0.102563 | + | 1.10798i | ||||
\(92\) | −2.74269 | + | 1.86993i | −0.285945 | + | 0.194954i | ||||
\(93\) | −1.65600 | + | 0.291306i | −0.171719 | + | 0.0302070i | ||||
\(94\) | −2.18398 | − | 2.02644i | −0.225261 | − | 0.209011i | ||||
\(95\) | −1.82847 | + | 24.3993i | −0.187597 | + | 2.50331i | ||||
\(96\) | 1.78827 | + | 4.24707i | 0.182514 | + | 0.433465i | ||||
\(97\) | −5.05223 | + | 8.75071i | −0.512976 | + | 0.888500i | 0.486911 | + | 0.873452i | \(0.338124\pi\) |
−0.999887 | + | 0.0150486i | \(0.995210\pi\) | |||||||
\(98\) | −1.62375 | − | 8.47089i | −0.164023 | − | 0.855689i | ||||
\(99\) | 8.38501 | − | 4.55745i | 0.842726 | − | 0.458041i | ||||
\(100\) | 2.12935 | − | 0.320948i | 0.212935 | − | 0.0320948i | ||||
\(101\) | 11.7072 | − | 5.63789i | 1.16491 | − | 0.560991i | 0.251430 | − | 0.967876i | \(-0.419099\pi\) |
0.913479 | + | 0.406885i | \(0.133385\pi\) | |||||||
\(102\) | 3.12447 | − | 5.73196i | 0.309368 | − | 0.567549i | ||||
\(103\) | −14.2693 | + | 6.87173i | −1.40600 | + | 0.677092i | −0.974368 | − | 0.224960i | \(-0.927775\pi\) |
−0.431628 | + | 0.902052i | \(0.642061\pi\) | |||||||
\(104\) | −0.916813 | − | 12.2340i | −0.0899009 | − | 1.19964i | ||||
\(105\) | −13.9588 | − | 2.00378i | −1.36224 | − | 0.195549i | ||||
\(106\) | −0.614045 | + | 8.19386i | −0.0596413 | + | 0.795858i | ||||
\(107\) | −1.68559 | − | 4.29480i | −0.162952 | − | 0.415194i | 0.825954 | − | 0.563737i | \(-0.190637\pi\) |
−0.988906 | + | 0.148543i | \(0.952542\pi\) | |||||||
\(108\) | −2.43998 | − | 0.560026i | −0.234788 | − | 0.0538885i | ||||
\(109\) | −0.803293 | + | 2.04676i | −0.0769415 | + | 0.196044i | −0.964169 | − | 0.265288i | \(-0.914533\pi\) |
0.887228 | + | 0.461332i | \(0.152628\pi\) | |||||||
\(110\) | −8.84210 | + | 8.20427i | −0.843061 | + | 0.782246i | ||||
\(111\) | −6.31367 | − | 14.9947i | −0.599267 | − | 1.42324i | ||||
\(112\) | 2.58934 | + | 6.95302i | 0.244670 | + | 0.656999i | ||||
\(113\) | 9.93024 | + | 1.49674i | 0.934158 | + | 0.140802i | 0.598446 | − | 0.801163i | \(-0.295785\pi\) |
0.335712 | + | 0.941965i | \(0.391023\pi\) | |||||||
\(114\) | −3.36905 | + | 16.6311i | −0.315540 | + | 1.55764i | ||||
\(115\) | 4.71796 | + | 20.6707i | 0.439952 | + | 1.92756i | ||||
\(116\) | 0.605191 | + | 1.04822i | 0.0561905 | + | 0.0973249i | ||||
\(117\) | 10.2650 | + | 6.28421i | 0.948997 | + | 0.580975i | ||||
\(118\) | 2.47289 | + | 10.8345i | 0.227648 | + | 0.997393i | ||||
\(119\) | −4.16863 | + | 6.93695i | −0.382138 | + | 0.635909i | ||||
\(120\) | 16.2940 | − | 0.399753i | 1.48743 | − | 0.0364923i | ||||
\(121\) | 0.195849 | − | 0.858071i | 0.0178045 | − | 0.0780065i | ||||
\(122\) | 4.19782 | + | 10.6959i | 0.380053 | + | 0.968358i | ||||
\(123\) | −1.10253 | − | 11.0633i | −0.0994122 | − | 0.997547i | ||||
\(124\) | −0.446923 | + | 0.137858i | −0.0401349 | + | 0.0123800i | ||||
\(125\) | −0.363174 | + | 1.59117i | −0.0324833 | + | 0.142319i | ||||
\(126\) | −9.43175 | − | 2.58644i | −0.840247 | − | 0.230418i | ||||
\(127\) | 1.95739 | + | 8.57589i | 0.173690 | + | 0.760987i | 0.984458 | + | 0.175619i | \(0.0561928\pi\) |
−0.810768 | + | 0.585368i | \(0.800950\pi\) | |||||||
\(128\) | −2.81445 | − | 4.87478i | −0.248765 | − | 0.430873i | ||||
\(129\) | 16.9733 | + | 4.78297i | 1.49442 | + | 0.421117i | ||||
\(130\) | −14.5362 | − | 4.48383i | −1.27491 | − | 0.393258i | ||||
\(131\) | 15.9230 | + | 7.66809i | 1.39120 | + | 0.669964i | 0.971355 | − | 0.237634i | \(-0.0763718\pi\) |
0.419840 | + | 0.907598i | \(0.362086\pi\) | |||||||
\(132\) | 2.15601 | − | 1.54874i | 0.187656 | − | 0.134801i | ||||
\(133\) | 5.03937 | − | 20.4241i | 0.436969 | − | 1.77099i | ||||
\(134\) | −8.05493 | − | 10.1006i | −0.695840 | − | 0.872555i | ||||
\(135\) | −9.02351 | + | 13.2006i | −0.776620 | + | 1.13613i | ||||
\(136\) | 3.41741 | − | 8.70741i | 0.293040 | − | 0.746654i | ||||
\(137\) | −0.758003 | − | 0.365035i | −0.0647605 | − | 0.0311870i | 0.401223 | − | 0.915980i | \(-0.368585\pi\) |
−0.465984 | + | 0.884793i | \(0.654299\pi\) | |||||||
\(138\) | 1.45816 | + | 14.6318i | 0.124127 | + | 1.24554i | ||||
\(139\) | 2.93390 | + | 2.00030i | 0.248850 | + | 0.169663i | 0.681321 | − | 0.731985i | \(-0.261406\pi\) |
−0.432471 | + | 0.901648i | \(0.642358\pi\) | |||||||
\(140\) | −3.92195 | − | 0.0686627i | −0.331465 | − | 0.00580305i | ||||
\(141\) | 3.97048 | − | 1.33222i | 0.334374 | − | 0.112193i | ||||
\(142\) | 0.384706 | + | 0.262288i | 0.0322838 | + | 0.0220107i | ||||
\(143\) | −12.1957 | + | 3.76186i | −1.01985 | + | 0.314583i | ||||
\(144\) | 8.37045 | + | 0.844429i | 0.697538 | + | 0.0703691i | ||||
\(145\) | 7.64465 | − | 1.15225i | 0.634853 | − | 0.0956888i | ||||
\(146\) | 3.08386 | − | 5.34141i | 0.255222 | − | 0.442058i | ||||
\(147\) | 11.5476 | + | 3.69496i | 0.952431 | + | 0.304755i | ||||
\(148\) | −2.26279 | − | 3.91926i | −0.186000 | − | 0.322161i | ||||
\(149\) | −2.97194 | − | 3.72669i | −0.243470 | − | 0.305302i | 0.645049 | − | 0.764141i | \(-0.276837\pi\) |
−0.888519 | + | 0.458839i | \(0.848266\pi\) | |||||||
\(150\) | 3.26613 | − | 8.96233i | 0.266678 | − | 0.731771i | ||||
\(151\) | 1.22095 | − | 5.34933i | 0.0993594 | − | 0.435322i | −0.900640 | − | 0.434565i | \(-0.856902\pi\) |
1.00000 | 0.000756661i | \(-0.000240853\pi\) | ||||||||
\(152\) | −1.81699 | + | 24.2461i | −0.147377 | + | 1.96661i | ||||
\(153\) | 4.97257 | + | 7.71273i | 0.402009 | + | 0.623537i | ||||
\(154\) | 8.66952 | − | 5.69107i | 0.698610 | − | 0.458600i | ||||
\(155\) | −0.223243 | + | 2.97897i | −0.0179313 | + | 0.239277i | ||||
\(156\) | 3.05104 | + | 1.37817i | 0.244279 | + | 0.110342i | ||||
\(157\) | 10.3868 | − | 7.08159i | 0.828956 | − | 0.565173i | −0.0728355 | − | 0.997344i | \(-0.523205\pi\) |
0.901792 | + | 0.432171i | \(0.142252\pi\) | |||||||
\(158\) | −18.4391 | + | 2.77924i | −1.46693 | + | 0.221105i | ||||
\(159\) | −9.70014 | − | 6.27057i | −0.769271 | − | 0.497289i | ||||
\(160\) | 8.09579 | − | 1.22024i | 0.640029 | − | 0.0964688i | ||||
\(161\) | −1.04386 | − | 18.1992i | −0.0822673 | − | 1.43430i | ||||
\(162\) | −7.35116 | + | 8.30276i | −0.577562 | + | 0.652327i | ||||
\(163\) | −3.25223 | + | 2.21733i | −0.254734 | + | 0.173675i | −0.683954 | − | 0.729525i | \(-0.739741\pi\) |
0.429220 | + | 0.903200i | \(0.358789\pi\) | |||||||
\(164\) | −0.688169 | − | 3.01507i | −0.0537370 | − | 0.235437i | ||||
\(165\) | −4.17729 | − | 16.4330i | −0.325201 | − | 1.27931i | ||||
\(166\) | 6.15879 | 0.478014 | ||||||||
\(167\) | 2.34174 | − | 2.17282i | 0.181209 | − | 0.168138i | −0.584353 | − | 0.811500i | \(-0.698652\pi\) |
0.765562 | + | 0.643362i | \(0.222461\pi\) | |||||||
\(168\) | −13.8711 | − | 1.99120i | −1.07018 | − | 0.153625i | ||||
\(169\) | −2.26928 | − | 2.10559i | −0.174560 | − | 0.161968i | ||||
\(170\) | −8.50228 | − | 7.88896i | −0.652095 | − | 0.605056i | ||||
\(171\) | −18.2602 | − | 15.3474i | −1.39640 | − | 1.17364i | ||||
\(172\) | 4.85037 | + | 0.731075i | 0.369837 | + | 0.0557440i | ||||
\(173\) | −4.98984 | + | 1.53916i | −0.379370 | + | 0.117020i | −0.478575 | − | 0.878047i | \(-0.658846\pi\) |
0.0992043 | + | 0.995067i | \(0.468370\pi\) | |||||||
\(174\) | 5.36001 | − | 0.131501i | 0.406341 | − | 0.00996909i | ||||
\(175\) | −4.51238 | + | 10.9308i | −0.341104 | + | 0.826288i | ||||
\(176\) | −6.53956 | + | 6.06783i | −0.492938 | + | 0.457380i | ||||
\(177\) | −15.0361 | − | 4.23707i | −1.13018 | − | 0.318478i | ||||
\(178\) | 2.46904 | 0.185062 | ||||||||
\(179\) | 18.9726 | − | 17.6040i | 1.41808 | − | 1.31579i | 0.536384 | − | 0.843974i | \(-0.319790\pi\) |
0.881698 | − | 0.471814i | \(-0.156400\pi\) | |||||||
\(180\) | −2.03231 | + | 3.95629i | −0.151480 | + | 0.294884i | ||||
\(181\) | −2.00622 | + | 2.51572i | −0.149121 | + | 0.186992i | −0.850782 | − | 0.525519i | \(-0.823871\pi\) |
0.701660 | + | 0.712512i | \(0.252442\pi\) | |||||||
\(182\) | 11.6825 | + | 5.88011i | 0.865965 | + | 0.435862i | ||||
\(183\) | −16.0256 | − | 2.01485i | −1.18464 | − | 0.148942i | ||||
\(184\) | 4.68834 | + | 20.5409i | 0.345629 | + | 1.51430i | ||||
\(185\) | −28.5831 | + | 4.30820i | −2.10147 | + | 0.316745i | ||||
\(186\) | −0.411336 | + | 2.03053i | −0.0301606 | + | 0.148886i | ||||
\(187\) | −9.62225 | − | 1.45032i | −0.703649 | − | 0.106058i | ||||
\(188\) | 1.04957 | − | 0.505446i | 0.0765477 | − | 0.0368634i | ||||
\(189\) | 9.53782 | − | 9.90101i | 0.693775 | − | 0.720192i | ||||
\(190\) | 27.1625 | + | 13.0808i | 1.97057 | + | 0.948978i | ||||
\(191\) | 9.14799 | + | 6.23699i | 0.661925 | + | 0.451293i | 0.847115 | − | 0.531410i | \(-0.178338\pi\) |
−0.185190 | + | 0.982703i | \(0.559290\pi\) | |||||||
\(192\) | 15.3878 | − | 0.377522i | 1.11052 | − | 0.0272453i | ||||
\(193\) | 0.193190 | − | 2.57794i | 0.0139061 | − | 0.185564i | −0.985925 | − | 0.167188i | \(-0.946531\pi\) |
0.999831 | − | 0.0183761i | \(-0.00584962\pi\) | |||||||
\(194\) | 7.76263 | + | 9.73403i | 0.557324 | + | 0.698862i | ||||
\(195\) | 15.3139 | − | 14.9247i | 1.09665 | − | 1.06878i | ||||
\(196\) | 3.31519 | + | 0.619068i | 0.236799 | + | 0.0442191i | ||||
\(197\) | 8.30839 | 0.591949 | 0.295974 | − | 0.955196i | \(-0.404356\pi\) | ||||
0.295974 | + | 0.955196i | \(0.404356\pi\) | |||||||
\(198\) | −1.45274 | − | 11.6690i | −0.103241 | − | 0.829283i | ||||
\(199\) | −9.70161 | − | 6.61445i | −0.687729 | − | 0.468886i | 0.168352 | − | 0.985727i | \(-0.446155\pi\) |
−0.856081 | + | 0.516841i | \(0.827108\pi\) | |||||||
\(200\) | 3.04140 | − | 13.3252i | 0.215059 | − | 0.942237i | ||||
\(201\) | 17.8858 | − | 3.14629i | 1.26157 | − | 0.221922i | ||||
\(202\) | −1.19648 | − | 15.9659i | −0.0841840 | − | 1.12336i | ||||
\(203\) | −6.64586 | − | 0.116351i | −0.466448 | − | 0.00816623i | ||||
\(204\) | 1.63998 | + | 1.95606i | 0.114822 | + | 0.136952i | ||||
\(205\) | −19.5326 | − | 2.94406i | −1.36422 | − | 0.205622i | ||||
\(206\) | 1.45833 | + | 19.4600i | 0.101606 | + | 1.35584i | ||||
\(207\) | −19.0403 | − | 8.04431i | −1.32339 | − | 0.559118i | ||||
\(208\) | −10.7509 | − | 3.31621i | −0.745441 | − | 0.229938i | ||||
\(209\) | 25.0113 | − | 3.76984i | 1.73007 | − | 0.260765i | ||||
\(210\) | −8.58196 | + | 15.1085i | −0.592212 | + | 1.04258i | ||||
\(211\) | −15.2200 | − | 2.29404i | −1.04779 | − | 0.157928i | −0.397488 | − | 0.917607i | \(-0.630118\pi\) |
−0.650298 | + | 0.759679i | \(0.725356\pi\) | |||||||
\(212\) | −2.89468 | − | 1.39401i | −0.198808 | − | 0.0957407i | ||||
\(213\) | −0.582552 | + | 0.298359i | −0.0399158 | + | 0.0204432i | ||||
\(214\) | −5.68485 | −0.388609 | ||||||||
\(215\) | 15.6652 | − | 27.1329i | 1.06836 | − | 1.85045i | ||||
\(216\) | −8.96685 | + | 13.1177i | −0.610117 | + | 0.892548i | ||||
\(217\) | 0.615270 | − | 2.49363i | 0.0417673 | − | 0.169279i | ||||
\(218\) | 1.98599 | + | 1.84273i | 0.134508 | + | 0.124805i | ||||
\(219\) | 4.51785 | + | 7.39986i | 0.305288 | + | 0.500036i | ||||
\(220\) | −1.72308 | − | 4.39034i | −0.116170 | − | 0.295996i | ||||
\(221\) | −4.48353 | − | 11.4239i | −0.301595 | − | 0.768452i | ||||
\(222\) | −20.0409 | + | 0.491679i | −1.34506 | + | 0.0329993i | ||||
\(223\) | 1.73900 | + | 1.61356i | 0.116452 | + | 0.108052i | 0.736250 | − | 0.676710i | \(-0.236595\pi\) |
−0.619798 | + | 0.784762i | \(0.712785\pi\) | |||||||
\(224\) | −7.03807 | − | 0.123217i | −0.470251 | − | 0.00823280i | ||||
\(225\) | 8.86434 | + | 10.0609i | 0.590956 | + | 0.670727i | ||||
\(226\) | 6.18692 | − | 10.7161i | 0.411548 | − | 0.712822i | ||||
\(227\) | −1.30754 | −0.0867843 | −0.0433922 | − | 0.999058i | \(-0.513816\pi\) | ||||
−0.0433922 | + | 0.999058i | \(0.513816\pi\) | |||||||
\(228\) | −5.57211 | − | 3.60204i | −0.369022 | − | 0.238551i | ||||
\(229\) | 0.927940 | + | 0.446872i | 0.0613200 | + | 0.0295302i | 0.464292 | − | 0.885682i | \(-0.346309\pi\) |
−0.402972 | + | 0.915212i | \(0.632023\pi\) | |||||||
\(230\) | 25.8329 | + | 3.89368i | 1.70337 | + | 0.256741i | ||||
\(231\) | 1.19149 | + | 14.5292i | 0.0783940 | + | 0.955951i | ||||
\(232\) | 7.59664 | − | 1.14501i | 0.498744 | − | 0.0751736i | ||||
\(233\) | 6.40325 | + | 1.97514i | 0.419491 | + | 0.129396i | 0.497312 | − | 0.867572i | \(-0.334320\pi\) |
−0.0778217 | + | 0.996967i | \(0.524796\pi\) | |||||||
\(234\) | 11.8287 | − | 8.94488i | 0.773269 | − | 0.584745i | ||||
\(235\) | −0.556045 | − | 7.41991i | −0.0362724 | − | 0.484021i | ||||
\(236\) | −4.29678 | − | 0.647636i | −0.279697 | − | 0.0421575i | ||||
\(237\) | 8.97521 | − | 24.6282i | 0.583003 | − | 1.59977i | ||||
\(238\) | 6.08003 | + | 7.90408i | 0.394110 | + | 0.512345i | ||||
\(239\) | −1.54061 | − | 20.5581i | −0.0996540 | − | 1.32979i | −0.793016 | − | 0.609201i | \(-0.791490\pi\) |
0.693362 | − | 0.720589i | \(-0.256129\pi\) | |||||||
\(240\) | 5.11785 | − | 14.0435i | 0.330356 | − | 0.906504i | ||||
\(241\) | −3.38162 | + | 14.8159i | −0.217829 | + | 0.954373i | 0.741249 | + | 0.671231i | \(0.234234\pi\) |
−0.959078 | + | 0.283142i | \(0.908623\pi\) | |||||||
\(242\) | −0.896031 | − | 0.610904i | −0.0575991 | − | 0.0392704i | ||||
\(243\) | −5.30194 | − | 14.6591i | −0.340119 | − | 0.940382i | ||||
\(244\) | −4.49275 | −0.287619 | ||||||||
\(245\) | 11.4169 | − | 18.2666i | 0.729397 | − | 1.16701i | ||||
\(246\) | −13.1858 | − | 3.71566i | −0.840695 | − | 0.236902i | ||||
\(247\) | 19.8889 | + | 24.9399i | 1.26550 | + | 1.58689i | ||||
\(248\) | −0.221841 | + | 2.96027i | −0.0140869 | + | 0.187977i | ||||
\(249\) | −4.14353 | + | 7.60147i | −0.262585 | + | 0.481723i | ||||
\(250\) | 1.66156 | + | 1.13283i | 0.105086 | + | 0.0716467i | ||||
\(251\) | −5.05936 | − | 2.43646i | −0.319344 | − | 0.153788i | 0.267344 | − | 0.963601i | \(-0.413854\pi\) |
−0.586688 | + | 0.809813i | \(0.699568\pi\) | |||||||
\(252\) | 2.28875 | − | 3.06349i | 0.144178 | − | 0.192982i | ||||
\(253\) | 19.7476 | − | 9.50994i | 1.24152 | − | 0.597885i | ||||
\(254\) | 10.7175 | + | 1.61541i | 0.672479 | + | 0.101360i | ||||
\(255\) | 15.4571 | − | 5.18636i | 0.967963 | − | 0.324783i | ||||
\(256\) | 10.7169 | − | 1.61532i | 0.669808 | − | 0.100957i | ||||
\(257\) | 4.20759 | + | 18.4347i | 0.262462 | + | 1.14992i | 0.918571 | + | 0.395256i | \(0.129344\pi\) |
−0.656109 | + | 0.754667i | \(0.727799\pi\) | |||||||
\(258\) | 13.1267 | − | 17.3151i | 0.817231 | − | 1.07799i | ||||
\(259\) | 24.8487 | + | 0.435032i | 1.54402 | + | 0.0270316i | ||||
\(260\) | 3.70855 | − | 4.65037i | 0.229994 | − | 0.288404i | ||||
\(261\) | −3.44382 | + | 6.70405i | −0.213167 | + | 0.414970i | ||||
\(262\) | 15.9630 | − | 14.8115i | 0.986199 | − | 0.915059i | ||||
\(263\) | 12.8532 | 0.792565 | 0.396282 | − | 0.918129i | \(-0.370300\pi\) | ||||
0.396282 | + | 0.918129i | \(0.370300\pi\) | |||||||
\(264\) | −4.15106 | − | 16.3298i | −0.255480 | − | 1.00503i | ||||
\(265\) | −15.0432 | + | 13.9580i | −0.924094 | + | 0.857434i | ||||
\(266\) | −21.1576 | − | 14.9741i | −1.29725 | − | 0.918124i | ||||
\(267\) | −1.66113 | + | 3.04740i | −0.101659 | + | 0.186498i | ||||
\(268\) | 4.82706 | − | 1.48895i | 0.294860 | − | 0.0909521i | ||||
\(269\) | 11.7395 | + | 1.76944i | 0.715768 | + | 0.107885i | 0.496822 | − | 0.867852i | \(-0.334500\pi\) |
0.218946 | + | 0.975737i | \(0.429738\pi\) | |||||||
\(270\) | 11.0789 | + | 16.2922i | 0.674240 | + | 0.991511i | ||||
\(271\) | −11.8741 | − | 11.0175i | −0.721297 | − | 0.669266i | 0.231513 | − | 0.972832i | \(-0.425632\pi\) |
−0.952811 | + | 0.303566i | \(0.901823\pi\) | |||||||
\(272\) | −6.28824 | − | 5.83463i | −0.381280 | − | 0.353776i | ||||
\(273\) | −15.1173 | + | 10.4631i | −0.914941 | + | 0.633255i | ||||
\(274\) | −0.759910 | + | 0.705094i | −0.0459079 | + | 0.0425963i | ||||
\(275\) | −14.2187 | −0.857418 | ||||||||
\(276\) | −5.53399 | − | 1.55944i | −0.333107 | − | 0.0938672i | ||||
\(277\) | 0.605885 | + | 2.65455i | 0.0364041 | + | 0.159497i | 0.989863 | − | 0.142027i | \(-0.0453619\pi\) |
−0.953459 | + | 0.301524i | \(0.902505\pi\) | |||||||
\(278\) | 3.61503 | − | 2.46469i | 0.216815 | − | 0.147822i | ||||
\(279\) | −2.22944 | − | 1.87380i | −0.133473 | − | 0.112181i | ||||
\(280\) | −9.50017 | + | 23.0132i | −0.567744 | + | 1.37530i | ||||
\(281\) | 18.0093 | − | 2.71446i | 1.07434 | − | 0.161931i | 0.412040 | − | 0.911166i | \(-0.364817\pi\) |
0.662305 | + | 0.749235i | \(0.269578\pi\) | |||||||
\(282\) | 0.259304 | − | 5.15378i | 0.0154413 | − | 0.306903i | ||||
\(283\) | 6.50711 | − | 0.980789i | 0.386807 | − | 0.0583018i | 0.0472401 | − | 0.998884i | \(-0.484957\pi\) |
0.339567 | + | 0.940582i | \(0.389719\pi\) | |||||||
\(284\) | −0.150423 | + | 0.102557i | −0.00892598 | + | 0.00608563i | ||||
\(285\) | −34.4194 | + | 24.7247i | −2.03883 | + | 1.46457i | ||||
\(286\) | −1.17518 | + | 15.6817i | −0.0694898 | + | 0.927277i | ||||
\(287\) | 16.1386 | + | 5.28920i | 0.952631 | + | 0.312212i | ||||
\(288\) | −3.64705 | + | 7.09969i | −0.214905 | + | 0.418353i | ||||
\(289\) | −0.571165 | + | 7.62166i | −0.0335979 | + | 0.448333i | ||||
\(290\) | 2.11969 | − | 9.28698i | 0.124473 | − | 0.545350i | ||||
\(291\) | −17.2368 | + | 3.03212i | −1.01044 | + | 0.177746i | ||||
\(292\) | 1.50363 | + | 1.88549i | 0.0879933 | + | 0.110340i | ||||
\(293\) | 9.57313 | + | 16.5811i | 0.559268 | + | 0.968681i | 0.997558 | + | 0.0698469i | \(0.0222511\pi\) |
−0.438290 | + | 0.898834i | \(0.644416\pi\) | |||||||
\(294\) | 9.43631 | − | 11.5816i | 0.550337 | − | 0.675453i | ||||
\(295\) | −13.8773 | + | 24.0362i | −0.807967 | + | 1.39944i | ||||
\(296\) | −28.4036 | + | 4.28115i | −1.65092 | + | 0.248837i | ||||
\(297\) | 15.3799 | + | 6.05770i | 0.892431 | + | 0.351503i | ||||
\(298\) | −5.61229 | + | 1.73116i | −0.325111 | + | 0.100284i | ||||
\(299\) | 22.8390 | + | 15.5714i | 1.32081 | + | 0.900516i | ||||
\(300\) | 2.79554 | + | 2.46909i | 0.161400 | + | 0.142553i | ||||
\(301\) | −17.1610 | + | 20.7629i | −0.989143 | + | 1.19676i | ||||
\(302\) | −5.58597 | − | 3.80845i | −0.321437 | − | 0.219152i | ||||
\(303\) | 20.5109 | + | 9.26484i | 1.17832 | + | 0.532251i | ||||
\(304\) | 20.0892 | + | 9.67445i | 1.15219 | + | 0.554868i | ||||
\(305\) | −10.4839 | + | 26.7126i | −0.600307 | + | 1.52956i | ||||
\(306\) | 11.0848 | − | 2.23152i | 0.633677 | − | 0.127567i | ||||
\(307\) | 4.31869 | + | 5.41547i | 0.246481 | + | 0.309077i | 0.889646 | − | 0.456650i | \(-0.150951\pi\) |
−0.643166 | + | 0.765727i | \(0.722379\pi\) | |||||||
\(308\) | 0.832980 | + | 3.96851i | 0.0474634 | + | 0.226127i | ||||
\(309\) | −24.9996 | − | 11.2924i | −1.42218 | − | 0.642404i | ||||
\(310\) | 3.31634 | + | 1.59707i | 0.188355 | + | 0.0907072i | ||||
\(311\) | 10.6216 | + | 3.27634i | 0.602297 | + | 0.185784i | 0.580884 | − | 0.813987i | \(-0.302707\pi\) |
0.0214135 | + | 0.999771i | \(0.493183\pi\) | |||||||
\(312\) | 15.2177 | − | 14.8309i | 0.861533 | − | 0.839636i | ||||
\(313\) | −3.32749 | − | 5.76338i | −0.188081 | − | 0.325766i | 0.756530 | − | 0.653960i | \(-0.226893\pi\) |
−0.944610 | + | 0.328194i | \(0.893560\pi\) | |||||||
\(314\) | −3.44678 | − | 15.1013i | −0.194513 | − | 0.852217i | ||||
\(315\) | −12.8738 | − | 20.7570i | −0.725356 | − | 1.16952i | ||||
\(316\) | 1.62246 | − | 7.10847i | 0.0912706 | − | 0.399882i | ||||
\(317\) | −3.42710 | + | 1.05712i | −0.192485 | + | 0.0593738i | −0.389499 | − | 0.921027i | \(-0.627352\pi\) |
0.197014 | + | 0.980401i | \(0.436876\pi\) | |||||||
\(318\) | −11.5588 | + | 8.30315i | −0.648188 | + | 0.465618i | ||||
\(319\) | −2.91981 | − | 7.43956i | −0.163478 | − | 0.416535i | ||||
\(320\) | 6.08534 | − | 26.6616i | 0.340181 | − | 1.49043i | ||||
\(321\) | 3.82467 | − | 7.01652i | 0.213472 | − | 0.391624i | ||||
\(322\) | −21.3441 | − | 6.99525i | −1.18946 | − | 0.389830i | ||||
\(323\) | 5.41209 | + | 23.7119i | 0.301137 | + | 1.31937i | ||||
\(324\) | −1.97191 | − | 3.86174i | −0.109551 | − | 0.214541i | ||||
\(325\) | −8.96595 | − | 15.5295i | −0.497341 | − | 0.861420i | ||||
\(326\) | 1.07923 | + | 4.72840i | 0.0597728 | + | 0.261882i | ||||
\(327\) | −3.61052 | + | 1.21145i | −0.199662 | + | 0.0669932i | ||||
\(328\) | −19.4099 | − | 2.92558i | −1.07173 | − | 0.161538i | ||||
\(329\) | −0.589667 | + | 6.37007i | −0.0325094 | + | 0.351193i | ||||
\(330\) | −20.7289 | − | 2.60618i | −1.14109 | − | 0.143465i | ||||
\(331\) | 3.09801 | − | 2.87454i | 0.170282 | − | 0.157999i | −0.590428 | − | 0.807090i | \(-0.701041\pi\) |
0.760711 | + | 0.649091i | \(0.224851\pi\) | |||||||
\(332\) | −0.879792 | + | 2.24167i | −0.0482849 | + | 0.123028i | ||||
\(333\) | 12.8763 | − | 25.0662i | 0.705618 | − | 1.37362i | ||||
\(334\) | −1.43803 | − | 3.66405i | −0.0786857 | − | 0.200488i | ||||
\(335\) | 2.41117 | − | 32.1748i | 0.131736 | − | 1.75790i | ||||
\(336\) | −6.34717 | + | 11.1741i | −0.346266 | + | 0.609599i | ||||
\(337\) | 2.14411 | + | 28.6111i | 0.116797 | + | 1.55855i | 0.680611 | + | 0.732645i | \(0.261715\pi\) |
−0.563814 | + | 0.825902i | \(0.690666\pi\) | |||||||
\(338\) | −3.43661 | + | 1.65498i | −0.186927 | + | 0.0900193i | ||||
\(339\) | 9.06382 | + | 14.8458i | 0.492279 | + | 0.806312i | ||||
\(340\) | 4.08599 | − | 1.96771i | 0.221594 | − | 0.106714i | ||||
\(341\) | 3.05369 | − | 0.460270i | 0.165367 | − | 0.0249250i | ||||
\(342\) | −25.8232 | + | 14.0355i | −1.39636 | + | 0.758952i | ||||
\(343\) | −12.2913 | + | 13.8536i | −0.663670 | + | 0.748025i | ||||
\(344\) | 15.5668 | − | 26.9625i | 0.839307 | − | 1.45372i | ||||
\(345\) | −22.1857 | + | 29.2645i | −1.19444 | + | 1.57555i | ||||
\(346\) | −0.480823 | + | 6.41613i | −0.0258492 | + | 0.344933i | ||||
\(347\) | 26.8214 | + | 24.8867i | 1.43985 | + | 1.33599i | 0.848067 | + | 0.529889i | \(0.177766\pi\) |
0.591783 | + | 0.806097i | \(0.298424\pi\) | |||||||
\(348\) | −0.717822 | + | 1.96972i | −0.0384793 | + | 0.105588i | ||||
\(349\) | 0.368878 | − | 0.251497i | 0.0197456 | − | 0.0134623i | −0.553407 | − | 0.832911i | \(-0.686673\pi\) |
0.573153 | + | 0.819449i | \(0.305720\pi\) | |||||||
\(350\) | 10.5061 | + | 10.0962i | 0.561576 | + | 0.539665i | ||||
\(351\) | 3.08202 | + | 20.6176i | 0.164506 | + | 1.10048i | ||||
\(352\) | −3.09212 | − | 7.87860i | −0.164811 | − | 0.419931i | ||||
\(353\) | −25.1365 | − | 12.1051i | −1.33788 | − | 0.644289i | −0.378289 | − | 0.925688i | \(-0.623487\pi\) |
−0.959591 | + | 0.281399i | \(0.909202\pi\) | |||||||
\(354\) | −11.6285 | + | 15.3388i | −0.618047 | + | 0.815250i | ||||
\(355\) | 0.258758 | + | 1.13369i | 0.0137334 | + | 0.0601702i | ||||
\(356\) | −0.352706 | + | 0.898680i | −0.0186934 | + | 0.0476299i | ||||
\(357\) | −13.8461 | + | 2.18653i | −0.732815 | + | 0.115724i | ||||
\(358\) | −11.6509 | − | 29.6859i | −0.615767 | − | 1.56895i | ||||
\(359\) | 0.977829 | − | 0.666673i | 0.0516078 | − | 0.0351856i | −0.537241 | − | 0.843429i | \(-0.680534\pi\) |
0.588849 | + | 0.808243i | \(0.299581\pi\) | |||||||
\(360\) | 18.6626 | + | 21.1818i | 0.983605 | + | 1.11638i | ||||
\(361\) | −22.1099 | − | 38.2954i | −1.16368 | − | 2.01555i | ||||
\(362\) | 1.98238 | + | 3.43358i | 0.104191 | + | 0.180465i | ||||
\(363\) | 1.35684 | − | 0.694919i | 0.0712157 | − | 0.0364738i | ||||
\(364\) | −3.80911 | + | 3.41222i | −0.199651 | + | 0.178849i | ||||
\(365\) | 14.7194 | − | 4.54032i | 0.770446 | − | 0.237651i | ||||
\(366\) | −9.52504 | + | 17.4741i | −0.497882 | + | 0.913385i | ||||
\(367\) | −8.48152 | + | 10.6355i | −0.442732 | + | 0.555168i | −0.952261 | − | 0.305285i | \(-0.901248\pi\) |
0.509529 | + | 0.860453i | \(0.329820\pi\) | |||||||
\(368\) | 19.1058 | + | 2.87974i | 0.995960 | + | 0.150117i | ||||
\(369\) | 13.4572 | − | 13.7747i | 0.700554 | − | 0.717082i | ||||
\(370\) | −7.92546 | + | 34.7237i | −0.412025 | + | 1.80520i | ||||
\(371\) | 14.7496 | − | 9.68229i | 0.765759 | − | 0.502679i | ||||
\(372\) | −0.680314 | − | 0.439783i | −0.0352726 | − | 0.0228017i | ||||
\(373\) | 12.8979 | 0.667825 | 0.333913 | − | 0.942604i | \(-0.391631\pi\) | ||||
0.333913 | + | 0.942604i | \(0.391631\pi\) | |||||||
\(374\) | −5.99503 | + | 10.3837i | −0.309996 | + | 0.536928i | ||||
\(375\) | −2.51607 | + | 1.28863i | −0.129929 | + | 0.0665445i | ||||
\(376\) | −0.552553 | − | 7.37331i | −0.0284958 | − | 0.380250i | ||||
\(377\) | 6.28424 | − | 7.88019i | 0.323655 | − | 0.405850i | ||||
\(378\) | −7.06277 | − | 15.3968i | −0.363270 | − | 0.791923i | ||||
\(379\) | 3.03834 | + | 3.80996i | 0.156069 | + | 0.195704i | 0.853718 | − | 0.520735i | \(-0.174342\pi\) |
−0.697649 | + | 0.716439i | \(0.745771\pi\) | |||||||
\(380\) | −8.64134 | + | 8.01799i | −0.443291 | + | 0.411314i | ||||
\(381\) | −9.20440 | + | 12.1413i | −0.471556 | + | 0.622017i | ||||
\(382\) | 11.2718 | − | 7.68497i | 0.576714 | − | 0.393197i | ||||
\(383\) | 9.01955 | − | 11.3102i | 0.460877 | − | 0.577922i | −0.496034 | − | 0.868303i | \(-0.665211\pi\) |
0.956911 | + | 0.290381i | \(0.0937822\pi\) | |||||||
\(384\) | 3.33825 | − | 9.16023i | 0.170354 | − | 0.467456i | ||||
\(385\) | 25.5394 | + | 4.30794i | 1.30161 | + | 0.219553i | ||||
\(386\) | −2.86989 | − | 1.38207i | −0.146073 | − | 0.0703453i | ||||
\(387\) | 12.5397 | + | 27.8508i | 0.637428 | + | 1.41574i | ||||
\(388\) | −4.65189 | + | 1.43492i | −0.236164 | + | 0.0728470i | ||||
\(389\) | −14.1642 | + | 6.82113i | −0.718154 | + | 0.345845i | −0.757013 | − | 0.653400i | \(-0.773342\pi\) |
0.0388587 | + | 0.999245i | \(0.487628\pi\) | |||||||
\(390\) | −10.2247 | − | 24.2832i | −0.517747 | − | 1.22963i | ||||
\(391\) | 10.5379 | + | 18.2522i | 0.532925 | + | 0.923054i | ||||
\(392\) | 11.3452 | − | 18.1519i | 0.573018 | − | 0.916807i | ||||
\(393\) | 7.54144 | + | 29.6673i | 0.380415 | + | 1.49652i | ||||
\(394\) | 3.74009 | − | 9.52960i | 0.188423 | − | 0.480094i | ||||
\(395\) | −38.4789 | − | 26.2344i | −1.93608 | − | 1.32000i | ||||
\(396\) | 4.45482 | + | 1.13818i | 0.223863 | + | 0.0571955i | ||||
\(397\) | 1.75849 | − | 23.4654i | 0.0882561 | − | 1.17770i | −0.760653 | − | 0.649158i | \(-0.775121\pi\) |
0.848910 | − | 0.528538i | \(-0.177260\pi\) | |||||||
\(398\) | −11.9539 | + | 8.15005i | −0.599196 | + | 0.408525i | ||||
\(399\) | 32.7163 | − | 16.0394i | 1.63786 | − | 0.802972i | ||||
\(400\) | −10.3563 | − | 7.06079i | −0.517814 | − | 0.353040i | ||||
\(401\) | 4.17903 | − | 5.24033i | 0.208691 | − | 0.261690i | −0.666459 | − | 0.745541i | \(-0.732191\pi\) |
0.875150 | + | 0.483851i | \(0.160762\pi\) | |||||||
\(402\) | 4.44269 | − | 21.9311i | 0.221581 | − | 1.09382i | ||||
\(403\) | 2.42829 | + | 3.04498i | 0.120962 | + | 0.151681i | ||||
\(404\) | 5.98219 | + | 1.84526i | 0.297625 | + | 0.0918051i | ||||
\(405\) | −27.5623 | + | 2.71300i | −1.36958 | + | 0.134810i | ||||
\(406\) | −3.12514 | + | 7.57032i | −0.155098 | + | 0.375709i | ||||
\(407\) | 10.9171 | + | 27.8162i | 0.541139 | + | 1.37880i | ||||
\(408\) | 15.3601 | − | 5.15379i | 0.760436 | − | 0.255151i | ||||
\(409\) | −18.0531 | − | 5.56864i | −0.892668 | − | 0.275352i | −0.185708 | − | 0.982605i | \(-0.559458\pi\) |
−0.706960 | + | 0.707253i | \(0.749934\pi\) | |||||||
\(410\) | −12.1695 | + | 21.0783i | −0.601011 | + | 1.04098i | ||||
\(411\) | −0.359006 | − | 1.41229i | −0.0177085 | − | 0.0696633i | ||||
\(412\) | −7.29138 | − | 2.24909i | −0.359221 | − | 0.110805i | ||||
\(413\) | 15.2024 | − | 18.3932i | 0.748059 | − | 0.905071i | ||||
\(414\) | −17.7979 | + | 18.2177i | −0.874717 | + | 0.895353i | ||||
\(415\) | 11.2753 | + | 10.4620i | 0.553485 | + | 0.513559i | ||||
\(416\) | 6.65510 | − | 8.34523i | 0.326293 | − | 0.409159i | ||||
\(417\) | 0.609903 | + | 6.12004i | 0.0298671 | + | 0.299700i | ||||
\(418\) | 6.93508 | − | 30.3846i | 0.339206 | − | 1.48616i | ||||
\(419\) | 1.87327 | − | 0.577828i | 0.0915153 | − | 0.0282287i | −0.248659 | − | 0.968591i | \(-0.579990\pi\) |
0.340175 | + | 0.940362i | \(0.389514\pi\) | |||||||
\(420\) | −4.27323 | − | 5.28193i | −0.208512 | − | 0.257732i | ||||
\(421\) | 9.48034 | + | 2.92430i | 0.462044 | + | 0.142522i | 0.517033 | − | 0.855965i | \(-0.327036\pi\) |
−0.0549895 | + | 0.998487i | \(0.517513\pi\) | |||||||
\(422\) | −9.48262 | + | 16.4244i | −0.461607 | + | 0.799526i | ||||
\(423\) | 6.18659 | + | 3.78742i | 0.300802 | + | 0.184151i | ||||
\(424\) | −14.9487 | + | 13.8704i | −0.725973 | + | 0.673605i | ||||
\(425\) | −1.02173 | − | 13.6340i | −0.0495610 | − | 0.661346i | ||||
\(426\) | 0.0799731 | + | 0.802486i | 0.00387471 | + | 0.0388806i | ||||
\(427\) | 12.7082 | − | 21.1475i | 0.614994 | − | 1.02340i | ||||
\(428\) | 0.812090 | − | 2.06917i | 0.0392539 | − | 0.100017i | ||||
\(429\) | −18.5644 | − | 12.0008i | −0.896299 | − | 0.579405i | ||||
\(430\) | −24.0692 | − | 30.1818i | −1.16072 | − | 1.45550i | ||||
\(431\) | −1.83811 | − | 24.5279i | −0.0885389 | − | 1.18147i | −0.847667 | − | 0.530528i | \(-0.821994\pi\) |
0.759128 | − | 0.650941i | \(-0.225625\pi\) | |||||||
\(432\) | 8.19388 | + | 12.0496i | 0.394228 | + | 0.579737i | ||||
\(433\) | 20.2931 | − | 9.77266i | 0.975226 | − | 0.469644i | 0.122766 | − | 0.992436i | \(-0.460824\pi\) |
0.852461 | + | 0.522792i | \(0.175109\pi\) | |||||||
\(434\) | −2.58319 | − | 1.82823i | −0.123997 | − | 0.0877580i | ||||
\(435\) | 10.0363 | + | 8.86435i | 0.481206 | + | 0.425013i | ||||
\(436\) | −0.954418 | + | 0.459624i | −0.0457083 | + | 0.0220120i | ||||
\(437\) | −40.1586 | − | 37.2617i | −1.92105 | − | 1.78247i | ||||
\(438\) | 10.5213 | − | 1.85080i | 0.502726 | − | 0.0884345i | ||||
\(439\) | −2.28407 | + | 5.81973i | −0.109013 | + | 0.277760i | −0.974962 | − | 0.222372i | \(-0.928620\pi\) |
0.865949 | + | 0.500132i | \(0.166715\pi\) | |||||||
\(440\) | −29.9354 | −1.42711 | ||||||||
\(441\) | 7.94599 | + | 19.4387i | 0.378380 | + | 0.925650i | ||||
\(442\) | −15.1213 | −0.719246 | ||||||||
\(443\) | 5.78605 | − | 14.7426i | 0.274904 | − | 0.700443i | −0.725028 | − | 0.688720i | \(-0.758173\pi\) |
0.999931 | − | 0.0117234i | \(-0.00373176\pi\) | |||||||
\(444\) | 2.68391 | − | 7.36472i | 0.127373 | − | 0.349514i | ||||
\(445\) | 4.52025 | + | 4.19418i | 0.214280 | + | 0.198823i | ||||
\(446\) | 2.63355 | − | 1.26825i | 0.124702 | − | 0.0600535i | ||||
\(447\) | 1.63917 | − | 8.09166i | 0.0775301 | − | 0.382722i | ||||
\(448\) | −8.97184 | + | 21.7333i | −0.423880 | + | 1.02680i | ||||
\(449\) | −28.7413 | + | 13.8411i | −1.35638 | + | 0.653200i | −0.963827 | − | 0.266527i | \(-0.914124\pi\) |
−0.392557 | + | 0.919728i | \(0.628409\pi\) | |||||||
\(450\) | 15.5301 | − | 5.63826i | 0.732094 | − | 0.265790i | ||||
\(451\) | 1.52600 | + | 20.3630i | 0.0718565 | + | 0.958858i | ||||
\(452\) | 3.01662 | + | 3.78272i | 0.141890 | + | 0.177924i | ||||
\(453\) | 8.45872 | − | 4.33221i | 0.397425 | − | 0.203545i | ||||
\(454\) | −0.588599 | + | 1.49973i | −0.0276243 | + | 0.0703856i | ||||
\(455\) | 11.3994 | + | 30.6103i | 0.534414 | + | 1.43503i | ||||
\(456\) | −34.2032 | + | 24.5695i | −1.60171 | + | 1.15057i | ||||
\(457\) | −0.748736 | − | 9.99119i | −0.0350244 | − | 0.467368i | −0.986949 | − | 0.161035i | \(-0.948517\pi\) |
0.951924 | − | 0.306333i | \(-0.0991022\pi\) | |||||||
\(458\) | 0.930275 | − | 0.863169i | 0.0434689 | − | 0.0403332i | ||||
\(459\) | −4.70344 | + | 15.1827i | −0.219538 | + | 0.708670i | ||||
\(460\) | −5.10748 | + | 8.84642i | −0.238138 | + | 0.412466i | ||||
\(461\) | 8.68631 | + | 2.67937i | 0.404562 | + | 0.124791i | 0.490356 | − | 0.871522i | \(-0.336867\pi\) |
−0.0857945 | + | 0.996313i | \(0.527343\pi\) | |||||||
\(462\) | 17.2011 | + | 5.17382i | 0.800268 | + | 0.240708i | ||||
\(463\) | 10.9292 | − | 3.37121i | 0.507923 | − | 0.156673i | −0.0301933 | − | 0.999544i | \(-0.509612\pi\) |
0.538116 | + | 0.842871i | \(0.319136\pi\) | |||||||
\(464\) | 1.56771 | − | 6.86860i | 0.0727792 | − | 0.318867i | ||||
\(465\) | −4.20235 | + | 3.01871i | −0.194879 | + | 0.139989i | ||||
\(466\) | 5.14793 | − | 6.45530i | 0.238473 | − | 0.299036i | ||||
\(467\) | 2.17370 | + | 2.01690i | 0.100587 | + | 0.0933312i | 0.728864 | − | 0.684659i | \(-0.240049\pi\) |
−0.628276 | + | 0.777990i | \(0.716239\pi\) | |||||||
\(468\) | 1.56600 | + | 5.58322i | 0.0723884 | + | 0.258084i | ||||
\(469\) | −6.64531 | + | 26.9328i | −0.306852 | + | 1.24364i | ||||
\(470\) | −8.76082 | − | 2.70236i | −0.404107 | − | 0.124650i | ||||
\(471\) | 20.9577 | + | 5.90573i | 0.965680 | + | 0.272122i | ||||
\(472\) | −13.7901 | + | 23.8852i | −0.634743 | + | 1.09941i | ||||
\(473\) | −30.9493 | − | 9.54659i | −1.42305 | − | 0.438952i | ||||
\(474\) | −24.2079 | − | 21.3810i | −1.11191 | − | 0.982062i | ||||
\(475\) | 12.9836 | + | 33.0818i | 0.595730 | + | 1.51790i | ||||
\(476\) | −3.74547 | + | 1.08390i | −0.171673 | + | 0.0496804i | ||||
\(477\) | −2.47156 | − | 19.8527i | −0.113165 | − | 0.908992i | ||||
\(478\) | −24.2733 | − | 7.48732i | −1.11023 | − | 0.342462i | ||||
\(479\) | −0.0940430 | − | 0.117926i | −0.00429693 | − | 0.00538819i | 0.779678 | − | 0.626180i | \(-0.215383\pi\) |
−0.783975 | + | 0.620792i | \(0.786811\pi\) | |||||||
\(480\) | 10.6286 | + | 9.38748i | 0.485129 | + | 0.428478i | ||||
\(481\) | −23.4966 | + | 29.4637i | −1.07135 | + | 1.34343i | ||||
\(482\) | 15.4713 | + | 10.5481i | 0.704698 | + | 0.480455i | ||||
\(483\) | 22.9938 | − | 21.6377i | 1.04626 | − | 0.984548i | ||||
\(484\) | 0.350356 | − | 0.238869i | 0.0159253 | − | 0.0108577i | ||||
\(485\) | −2.32367 | + | 31.0072i | −0.105513 | + | 1.40797i | ||||
\(486\) | −19.2005 | − | 0.517680i | −0.870951 | − | 0.0234825i | ||||
\(487\) | −30.7837 | − | 20.9880i | −1.39494 | − | 0.951056i | −0.999469 | − | 0.0325789i | \(-0.989628\pi\) |
−0.395474 | − | 0.918477i | \(-0.629420\pi\) | |||||||
\(488\) | −10.4181 | + | 26.5448i | −0.471605 | + | 1.20163i | ||||
\(489\) | −6.56210 | − | 1.84915i | −0.296749 | − | 0.0836216i | ||||
\(490\) | −15.8121 | − | 21.3178i | −0.714316 | − | 0.963040i | ||||
\(491\) | −10.4972 | − | 18.1818i | −0.473734 | − | 0.820531i | 0.525814 | − | 0.850600i | \(-0.323761\pi\) |
−0.999548 | + | 0.0300685i | \(0.990427\pi\) | |||||||
\(492\) | 3.23603 | − | 4.26857i | 0.145892 | − | 0.192442i | ||||
\(493\) | 6.92383 | − | 3.33434i | 0.311834 | − | 0.150171i | ||||
\(494\) | 37.5588 | − | 11.5853i | 1.68985 | − | 0.521249i | ||||
\(495\) | 17.1627 | − | 23.8312i | 0.771406 | − | 1.07113i | ||||
\(496\) | 2.45275 | + | 1.18118i | 0.110132 | + | 0.0530365i | ||||
\(497\) | −0.0572505 | − | 0.998141i | −0.00256804 | − | 0.0447728i | ||||
\(498\) | 6.85352 | + | 8.17442i | 0.307114 | + | 0.366305i | ||||
\(499\) | 12.5228 | − | 15.7031i | 0.560598 | − | 0.702968i | −0.418070 | − | 0.908415i | \(-0.637293\pi\) |
0.978668 | + | 0.205447i | \(0.0658647\pi\) | |||||||
\(500\) | −0.649685 | + | 0.442948i | −0.0290548 | + | 0.0198092i | ||||
\(501\) | 5.48983 | + | 0.690220i | 0.245267 | + | 0.0308367i | ||||
\(502\) | −5.07209 | + | 4.70621i | −0.226378 | + | 0.210048i | ||||
\(503\) | 7.25854 | + | 9.10192i | 0.323642 | + | 0.405834i | 0.916861 | − | 0.399207i | \(-0.130714\pi\) |
−0.593219 | + | 0.805041i | \(0.702143\pi\) | |||||||
\(504\) | −12.7930 | − | 20.6266i | −0.569843 | − | 0.918783i | ||||
\(505\) | 24.9310 | − | 31.2624i | 1.10941 | − | 1.39116i | ||||
\(506\) | −2.01821 | − | 26.9312i | −0.0897204 | − | 1.19724i | ||||
\(507\) | 0.269432 | − | 5.35507i | 0.0119659 | − | 0.237827i | ||||
\(508\) | −2.11900 | + | 3.67021i | −0.0940152 | + | 0.162839i | ||||
\(509\) | −12.2952 | −0.544974 | −0.272487 | − | 0.962159i | \(-0.587846\pi\) | ||||
−0.272487 | + | 0.962159i | \(0.587846\pi\) | |||||||
\(510\) | 1.00948 | − | 20.0638i | 0.0447003 | − | 0.888438i | ||||
\(511\) | −13.1283 | + | 1.74433i | −0.580760 | + | 0.0771644i | ||||
\(512\) | 5.47667 | − | 23.9949i | 0.242037 | − | 1.06043i | ||||
\(513\) | 0.0501247 | − | 41.3150i | 0.00221306 | − | 1.82410i | ||||
\(514\) | 23.0384 | + | 3.47247i | 1.01618 | + | 0.153164i | ||||
\(515\) | −30.3871 | + | 38.1042i | −1.33901 | + | 1.67907i | ||||
\(516\) | 4.42717 | + | 7.25133i | 0.194895 | + | 0.319222i | ||||
\(517\) | −7.35020 | + | 2.26724i | −0.323261 | + | 0.0997129i | ||||
\(518\) | 11.6848 | − | 28.3052i | 0.513400 | − | 1.24366i | ||||
\(519\) | −7.59561 | − | 4.91012i | −0.333410 | − | 0.215530i | ||||
\(520\) | −18.8765 | − | 32.6951i | −0.827790 | − | 1.43377i | ||||
\(521\) | 4.37961 | + | 7.58572i | 0.191874 | + | 0.332336i | 0.945871 | − | 0.324542i | \(-0.105210\pi\) |
−0.753997 | + | 0.656878i | \(0.771877\pi\) | |||||||
\(522\) | 6.13918 | + | 6.96789i | 0.268705 | + | 0.304976i | ||||
\(523\) | −30.4563 | + | 20.7648i | −1.33176 | + | 0.907981i | −0.999382 | − | 0.0351643i | \(-0.988805\pi\) |
−0.332382 | + | 0.943145i | \(0.607852\pi\) | |||||||
\(524\) | 3.11075 | + | 7.92607i | 0.135894 | + | 0.346252i | ||||
\(525\) | −19.5296 | + | 6.17462i | −0.852340 | + | 0.269482i | ||||
\(526\) | 5.78599 | − | 14.7425i | 0.252281 | − | 0.642802i | ||||
\(527\) | 0.660776 | + | 2.89505i | 0.0287839 | + | 0.126110i | ||||
\(528\) | −15.3309 | − | 1.92751i | −0.667194 | − | 0.0838843i | ||||
\(529\) | −22.0482 | − | 10.6179i | −0.958617 | − | 0.461646i | ||||
\(530\) | 9.23782 | + | 23.5376i | 0.401265 | + | 1.02241i | ||||
\(531\) | −11.1085 | − | 24.6722i | −0.482067 | − | 1.07068i | ||||
\(532\) | 8.47268 | − | 5.56185i | 0.367337 | − | 0.241137i | ||||
\(533\) | −21.2780 | + | 14.5071i | −0.921653 | + | 0.628373i | ||||
\(534\) | 2.74755 | + | 3.27710i | 0.118898 | + | 0.141814i | ||||
\(535\) | −10.4077 | − | 9.65691i | −0.449963 | − | 0.417505i | ||||
\(536\) | 2.39603 | − | 31.9728i | 0.103493 | − | 1.38101i | ||||
\(537\) | 44.4783 | + | 5.59212i | 1.91938 | + | 0.241318i | ||||
\(538\) | 7.31414 | − | 12.6685i | 0.315335 | − | 0.546176i | ||||
\(539\) | −21.0361 | − | 7.30449i | −0.906089 | − | 0.314627i | ||||
\(540\) | −7.51267 | + | 1.70513i | −0.323294 | + | 0.0733771i | ||||
\(541\) | 33.7860 | − | 5.09243i | 1.45258 | − | 0.218940i | 0.625145 | − | 0.780509i | \(-0.285040\pi\) |
0.827430 | + | 0.561568i | \(0.189802\pi\) | |||||||
\(542\) | −17.9821 | + | 8.65973i | −0.772398 | + | 0.371967i | ||||
\(543\) | −5.57160 | + | 0.136692i | −0.239100 | + | 0.00586603i | ||||
\(544\) | 7.33243 | − | 3.53111i | 0.314376 | − | 0.151395i | ||||
\(545\) | 0.505636 | + | 6.74724i | 0.0216591 | + | 0.289020i | ||||
\(546\) | 5.19581 | + | 22.0493i | 0.222360 | + | 0.943625i | ||||
\(547\) | −0.117323 | + | 1.56556i | −0.00501636 | + | 0.0669387i | −0.999150 | − | 0.0412187i | \(-0.986876\pi\) |
0.994134 | + | 0.108157i | \(0.0344950\pi\) | |||||||
\(548\) | −0.148086 | − | 0.377316i | −0.00632590 | − | 0.0161181i | ||||
\(549\) | −15.1591 | − | 23.5125i | −0.646973 | − | 1.00349i | ||||
\(550\) | −6.40065 | + | 16.3086i | −0.272925 | + | 0.695401i | ||||
\(551\) | −14.6430 | + | 13.5867i | −0.623813 | + | 0.578814i | ||||
\(552\) | −22.0463 | + | 29.0808i | −0.938355 | + | 1.23776i | ||||
\(553\) | 28.8705 | + | 27.7441i | 1.22770 | + | 1.17980i | ||||
\(554\) | 3.31747 | + | 0.500029i | 0.140946 | + | 0.0212442i | ||||
\(555\) | −37.5255 | − | 33.1435i | −1.59287 | − | 1.40686i | ||||
\(556\) | 0.380683 | + | 1.66788i | 0.0161446 | + | 0.0707340i | ||||
\(557\) | 5.38767 | + | 9.33171i | 0.228283 | + | 0.395397i | 0.957299 | − | 0.289099i | \(-0.0933556\pi\) |
−0.729017 | + | 0.684496i | \(0.760022\pi\) | |||||||
\(558\) | −3.15282 | + | 1.71363i | −0.133470 | + | 0.0725437i | ||||
\(559\) | −9.08918 | − | 39.8223i | −0.384431 | − | 1.68430i | ||||
\(560\) | 16.4626 | + | 15.8202i | 0.695670 | + | 0.668527i | ||||
\(561\) | −8.78270 | − | 14.3853i | −0.370806 | − | 0.607349i | ||||
\(562\) | 4.99358 | − | 21.8783i | 0.210642 | − | 0.922881i | ||||
\(563\) | 17.0718 | + | 43.4983i | 0.719492 | + | 1.83323i | 0.522038 | + | 0.852923i | \(0.325172\pi\) |
0.197454 | + | 0.980312i | \(0.436733\pi\) | |||||||
\(564\) | 1.83883 | + | 0.830608i | 0.0774288 | + | 0.0349749i | ||||
\(565\) | 29.5303 | − | 9.10890i | 1.24235 | − | 0.383214i | ||||
\(566\) | 1.80428 | − | 7.90506i | 0.0758395 | − | 0.332275i | ||||
\(567\) | 23.7551 | + | 1.64146i | 0.997621 | + | 0.0689350i | ||||
\(568\) | 0.257133 | + | 1.12657i | 0.0107891 | + | 0.0472700i | ||||
\(569\) | −0.875938 | − | 1.51717i | −0.0367212 | − | 0.0636031i | 0.847081 | − | 0.531464i | \(-0.178358\pi\) |
−0.883802 | + | 0.467861i | \(0.845025\pi\) | |||||||
\(570\) | 12.8647 | + | 50.6085i | 0.538843 | + | 2.11976i | ||||
\(571\) | 19.2866 | + | 5.94913i | 0.807120 | + | 0.248963i | 0.670739 | − | 0.741693i | \(-0.265977\pi\) |
0.136380 | + | 0.990657i | \(0.456453\pi\) | |||||||
\(572\) | −5.53994 | − | 2.66789i | −0.231636 | − | 0.111550i | ||||
\(573\) | 1.90170 | + | 19.0825i | 0.0794445 | + | 0.797182i | ||||
\(574\) | 13.3316 | − | 16.1297i | 0.556448 | − | 0.673242i | ||||
\(575\) | 19.2008 | + | 24.0770i | 0.800727 | + | 1.00408i | ||||
\(576\) | 17.6247 | + | 20.0038i | 0.734363 | + | 0.833493i | ||||
\(577\) | −9.86765 | + | 25.1424i | −0.410795 | + | 1.04669i | 0.564431 | + | 0.825480i | \(0.309096\pi\) |
−0.975226 | + | 0.221209i | \(0.929000\pi\) | |||||||
\(578\) | 8.48481 | + | 4.08607i | 0.352922 | + | 0.169958i | ||||
\(579\) | 3.63662 | − | 2.61232i | 0.151133 | − | 0.108564i | ||||
\(580\) | 3.07747 | + | 2.09819i | 0.127785 | + | 0.0871224i | ||||
\(581\) | −8.06306 | − | 10.4820i | −0.334512 | − | 0.434868i | ||||
\(582\) | −4.28148 | + | 21.1352i | −0.177473 | + | 0.876083i | ||||
\(583\) | 17.5279 | + | 11.9503i | 0.725933 | + | 0.494933i | ||||
\(584\) | 14.6269 | − | 4.51181i | 0.605266 | − | 0.186700i | ||||
\(585\) | 36.8505 | + | 3.71756i | 1.52358 | + | 0.153702i | ||||
\(586\) | 23.3277 | − | 3.51609i | 0.963660 | − | 0.145248i | ||||
\(587\) | −16.6365 | + | 28.8152i | −0.686661 | + | 1.18933i | 0.286251 | + | 0.958155i | \(0.407591\pi\) |
−0.972912 | + | 0.231177i | \(0.925742\pi\) | |||||||
\(588\) | 2.86748 | + | 5.08908i | 0.118253 | + | 0.209870i | ||||
\(589\) | −3.85934 | − | 6.68457i | −0.159021 | − | 0.275433i | ||||
\(590\) | 21.3221 | + | 26.7371i | 0.877818 | + | 1.10075i | ||||
\(591\) | 9.24562 | + | 11.0275i | 0.380314 | + | 0.453613i | ||||
\(592\) | −5.86162 | + | 25.6814i | −0.240911 | + | 1.05550i | ||||
\(593\) | 1.65494 | − | 22.0836i | 0.0679602 | − | 0.906866i | −0.854172 | − | 0.519991i | \(-0.825935\pi\) |
0.922132 | − | 0.386875i | \(-0.126446\pi\) | |||||||
\(594\) | 13.8715 | − | 14.9136i | 0.569153 | − | 0.611910i | ||||
\(595\) | −2.29558 | + | 24.7988i | −0.0941097 | + | 1.01665i | ||||
\(596\) | 0.171616 | − | 2.29006i | 0.00702968 | − | 0.0938046i | ||||
\(597\) | −2.01678 | − | 20.2373i | −0.0825414 | − | 0.828258i | ||||
\(598\) | 28.1413 | − | 19.1864i | 1.15078 | − | 0.784590i | ||||
\(599\) | −17.0455 | + | 2.56919i | −0.696460 | + | 0.104974i | −0.487724 | − | 0.872998i | \(-0.662173\pi\) |
−0.208735 | + | 0.977972i | \(0.566935\pi\) | |||||||
\(600\) | 21.0708 | − | 10.7916i | 0.860211 | − | 0.440565i | ||||
\(601\) | 32.3858 | − | 4.88138i | 1.32105 | − | 0.199116i | 0.549609 | − | 0.835422i | \(-0.314777\pi\) |
0.771436 | + | 0.636307i | \(0.219539\pi\) | |||||||
\(602\) | 16.0896 | + | 29.0300i | 0.655763 | + | 1.18317i | ||||
\(603\) | 24.0794 | + | 20.2382i | 0.980589 | + | 0.824165i | ||||
\(604\) | 2.18416 | − | 1.48914i | 0.0888724 | − | 0.0605922i | ||||
\(605\) | −0.602682 | − | 2.64052i | −0.0245025 | − | 0.107353i | ||||
\(606\) | 19.8597 | − | 19.3550i | 0.806747 | − | 0.786243i | ||||
\(607\) | 0.226666 | 0.00920010 | 0.00460005 | − | 0.999989i | \(-0.498536\pi\) | ||||
0.00460005 | + | 0.999989i | \(0.498536\pi\) | |||||||
\(608\) | −15.5072 | + | 14.3885i | −0.628898 | + | 0.583532i | ||||
\(609\) | −7.24111 | − | 8.95038i | −0.293425 | − | 0.362688i | ||||
\(610\) | 25.9195 | + | 24.0498i | 1.04945 | + | 0.973747i | ||||
\(611\) | −7.11110 | − | 6.59814i | −0.287685 | − | 0.266932i | ||||
\(612\) | −0.771258 | + | 4.35343i | −0.0311763 | + | 0.175977i | ||||
\(613\) | −20.8878 | − | 3.14833i | −0.843651 | − | 0.127160i | −0.287025 | − | 0.957923i | \(-0.592666\pi\) |
−0.556626 | + | 0.830763i | \(0.687904\pi\) | |||||||
\(614\) | 8.15555 | − | 2.51565i | 0.329131 | − | 0.101523i | ||||
\(615\) | −17.8284 | − | 29.2013i | −0.718909 | − | 1.17751i | ||||
\(616\) | 25.3790 | + | 4.28089i | 1.02255 | + | 0.172482i | ||||
\(617\) | 15.4469 | − | 14.3326i | 0.621868 | − | 0.577009i | −0.305021 | − | 0.952346i | \(-0.598663\pi\) |
0.926889 | + | 0.375337i | \(0.122473\pi\) | |||||||
\(618\) | −24.2060 | + | 23.5908i | −0.973709 | + | 0.948961i | ||||
\(619\) | −45.4942 | −1.82857 | −0.914283 | − | 0.405075i | \(-0.867245\pi\) | ||||
−0.914283 | + | 0.405075i | \(0.867245\pi\) | |||||||
\(620\) | −1.05504 | + | 0.978938i | −0.0423716 | + | 0.0393151i | ||||
\(621\) | −10.5111 | − | 34.2235i | −0.421796 | − | 1.37334i | ||||
\(622\) | 8.53932 | − | 10.7080i | 0.342395 | − | 0.429350i | ||||
\(623\) | −3.23245 | − | 4.20221i | −0.129506 | − | 0.168358i | ||||
\(624\) | −7.56211 | − | 17.9597i | −0.302727 | − | 0.718965i | ||||
\(625\) | 6.09052 | + | 26.6843i | 0.243621 | + | 1.06737i | ||||
\(626\) | −8.10840 | + | 1.22215i | −0.324077 | + | 0.0488467i | ||||
\(627\) | 32.8363 | + | 29.0018i | 1.31135 | + | 1.15822i | ||||
\(628\) | 5.98895 | + | 0.902690i | 0.238985 | + | 0.0360212i | ||||
\(629\) | −25.8879 | + | 12.4670i | −1.03222 | + | 0.497091i | ||||
\(630\) | −29.6032 | + | 5.42211i | −1.17942 | + | 0.216022i | ||||
\(631\) | −14.0346 | − | 6.75871i | −0.558709 | − | 0.269060i | 0.133146 | − | 0.991096i | \(-0.457492\pi\) |
−0.691855 | + | 0.722037i | \(0.743206\pi\) | |||||||
\(632\) | −38.2372 | − | 26.0697i | −1.52100 | − | 1.03700i | ||||
\(633\) | −13.8920 | − | 22.7539i | −0.552158 | − | 0.904388i | ||||
\(634\) | −0.330237 | + | 4.40670i | −0.0131154 | + | 0.175012i | ||||
\(635\) | 16.8773 | + | 21.1635i | 0.669755 | + | 0.839846i | ||||
\(636\) | −1.37098 | − | 5.39330i | −0.0543630 | − | 0.213858i | ||||
\(637\) | −5.28697 | − | 27.5814i | −0.209477 | − | 1.09282i | ||||
\(638\) | −9.84743 | −0.389863 | ||||||||
\(639\) | −1.04427 | − | 0.441192i | −0.0413107 | − | 0.0174533i | ||||
\(640\) | −14.3119 | − | 9.75766i | −0.565726 | − | 0.385706i | ||||
\(641\) | −6.76117 | + | 29.6226i | −0.267050 | + | 1.17002i | 0.646376 | + | 0.763019i | \(0.276284\pi\) |
−0.913426 | + | 0.407005i | \(0.866573\pi\) | |||||||
\(642\) | −6.32613 | − | 7.54538i | −0.249672 | − | 0.297792i | ||||
\(643\) | 1.52389 | + | 20.3348i | 0.0600962 | + | 0.801928i | 0.943089 | + | 0.332541i | \(0.107906\pi\) |
−0.882993 | + | 0.469387i | \(0.844475\pi\) | |||||||
\(644\) | 5.59517 | − | 6.76955i | 0.220481 | − | 0.266758i | ||||
\(645\) | 53.4452 | − | 9.40155i | 2.10440 | − | 0.370186i | ||||
\(646\) | 29.6335 | + | 4.46653i | 1.16591 | + | 0.175733i | ||||
\(647\) | −0.505036 | − | 6.73924i | −0.0198550 | − | 0.264947i | −0.998293 | − | 0.0584056i | \(-0.981398\pi\) |
0.978438 | − | 0.206541i | \(-0.0662207\pi\) | |||||||
\(648\) | −27.3892 | + | 2.69596i | −1.07595 | + | 0.105907i | ||||
\(649\) | 27.4169 | + | 8.45701i | 1.07621 | + | 0.331967i | ||||
\(650\) | −21.8482 | + | 3.29308i | −0.856955 | + | 0.129165i | ||||
\(651\) | 3.99442 | − | 1.95829i | 0.156554 | − | 0.0767514i | ||||
\(652\) | −1.87521 | − | 0.282643i | −0.0734390 | − | 0.0110691i | ||||
\(653\) | −5.99493 | − | 2.88701i | −0.234600 | − | 0.112977i | 0.312891 | − | 0.949789i | \(-0.398703\pi\) |
−0.547491 | + | 0.836812i | \(0.684417\pi\) | |||||||
\(654\) | −0.235796 | + | 4.68656i | −0.00922037 | + | 0.183259i | ||||
\(655\) | 54.3852 | 2.12500 | ||||||||
\(656\) | −9.00052 | + | 15.5894i | −0.351411 | + | 0.608662i | ||||
\(657\) | −4.79419 | + | 14.2310i | −0.187039 | + | 0.555206i | ||||
\(658\) | 7.04093 | + | 3.54388i | 0.274484 | + | 0.138155i | ||||
\(659\) | −22.7743 | − | 21.1315i | −0.887161 | − | 0.823165i | 0.0979311 | − | 0.995193i | \(-0.468778\pi\) |
−0.985092 | + | 0.172028i | \(0.944968\pi\) | |||||||
\(660\) | 3.90975 | − | 7.17259i | 0.152187 | − | 0.279193i | ||||
\(661\) | −6.72452 | − | 17.1338i | −0.261554 | − | 0.666428i | 0.738415 | − | 0.674346i | \(-0.235575\pi\) |
−0.999969 | + | 0.00791890i | \(0.997479\pi\) | |||||||
\(662\) | −1.90245 | − | 4.84737i | −0.0739409 | − | 0.188398i | ||||
\(663\) | 10.1733 | − | 18.6634i | 0.395100 | − | 0.724827i | ||||
\(664\) | 11.2045 | + | 10.3963i | 0.434820 | + | 0.403454i | ||||
\(665\) | −13.2980 | − | 63.3549i | −0.515675 | − | 2.45680i | ||||
\(666\) | −22.9542 | − | 26.0527i | −0.889456 | − | 1.00952i | ||||
\(667\) | −8.65478 | + | 14.9905i | −0.335114 | + | 0.580435i | ||||
\(668\) | 1.53907 | 0.0595482 | ||||||||
\(669\) | −0.206472 | + | 4.10372i | −0.00798266 | + | 0.158659i | ||||
\(670\) | −35.8186 | − | 17.2493i | −1.38379 | − | 0.666400i | ||||
\(671\) | 29.3338 | + | 4.42135i | 1.13242 | + | 0.170685i | ||||
\(672\) | −7.66845 | − | 9.47859i | −0.295817 | − | 0.365644i | ||||
\(673\) | 42.3920 | − | 6.38957i | 1.63409 | − | 0.246300i | 0.733095 | − | 0.680126i | \(-0.238075\pi\) |
0.900997 | + | 0.433826i | \(0.142837\pi\) | |||||||
\(674\) | 33.7817 | + | 10.4203i | 1.30122 | + | 0.401374i | ||||
\(675\) | −3.48935 | + | 22.9613i | −0.134305 | + | 0.883780i | ||||
\(676\) | −0.111456 | − | 1.48727i | −0.00428676 | − | 0.0572028i | ||||
\(677\) | −27.1456 | − | 4.09154i | −1.04329 | − | 0.157251i | −0.395029 | − | 0.918669i | \(-0.629266\pi\) |
−0.648261 | + | 0.761418i | \(0.724504\pi\) | |||||||
\(678\) | 21.1080 | − | 3.71311i | 0.810649 | − | 0.142601i | ||||
\(679\) | 6.40417 | − | 25.9555i | 0.245769 | − | 0.996079i | ||||
\(680\) | −2.15110 | − | 28.7044i | −0.0824909 | − | 1.10076i | ||||
\(681\) | −1.45503 | − | 1.73547i | −0.0557570 | − | 0.0665032i | ||||
\(682\) | 0.846722 | − | 3.70973i | 0.0324227 | − | 0.142053i | ||||
\(683\) | 41.2612 | + | 28.1314i | 1.57882 | + | 1.07642i | 0.955722 | + | 0.294270i | \(0.0950766\pi\) |
0.623093 | + | 0.782148i | \(0.285876\pi\) | |||||||
\(684\) | −1.41975 | − | 11.4041i | −0.0542856 | − | 0.436047i | ||||
\(685\) | −2.58897 | −0.0989196 | ||||||||
\(686\) | 10.3568 | + | 20.3343i | 0.395426 | + | 0.776367i | ||||
\(687\) | 0.439492 | + | 1.72892i | 0.0167676 | + | 0.0659622i | ||||
\(688\) | −17.8014 | − | 22.3223i | −0.678674 | − | 0.851030i | ||||
\(689\) | −1.99935 | + | 26.6794i | −0.0761690 | + | 1.01640i | ||||
\(690\) | 23.5789 | + | 38.6203i | 0.897634 | + | 1.47025i | ||||
\(691\) | −23.9862 | − | 16.3535i | −0.912477 | − | 0.622116i | 0.0134127 | − | 0.999910i | \(-0.495730\pi\) |
−0.925890 | + | 0.377794i | \(0.876683\pi\) | |||||||
\(692\) | −2.26666 | − | 1.09156i | −0.0861654 | − | 0.0414951i | ||||
\(693\) | −17.9584 | + | 17.7496i | −0.682183 | + | 0.674251i | ||||
\(694\) | 40.6185 | − | 19.5608i | 1.54186 | − | 0.742519i | ||||
\(695\) | 10.8051 | + | 1.62860i | 0.409860 | + | 0.0617765i | ||||
\(696\) | 9.97332 | + | 8.80869i | 0.378038 | + | 0.333892i | ||||
\(697\) | −19.4160 | + | 2.92650i | −0.735435 | + | 0.110849i | ||||
\(698\) | −0.122409 | − | 0.536311i | −0.00463326 | − | 0.0202997i | ||||
\(699\) | 4.50400 | + | 10.6968i | 0.170357 | + | 0.404591i | ||||
\(700\) | −5.17563 | + | 2.38176i | −0.195621 | + | 0.0900221i | ||||
\(701\) | 12.4190 | − | 15.5729i | 0.469058 | − | 0.588181i | −0.489882 | − | 0.871789i | \(-0.662960\pi\) |
0.958940 | + | 0.283608i | \(0.0915315\pi\) | |||||||
\(702\) | 25.0354 | + | 5.74614i | 0.944901 | + | 0.216874i | ||||
\(703\) | 54.7497 | − | 50.8003i | 2.06492 | − | 1.91597i | ||||
\(704\) | −28.2706 | −1.06549 | ||||||||
\(705\) | 9.22951 | − | 8.99493i | 0.347603 | − | 0.338769i | ||||
\(706\) | −25.1997 | + | 23.3819i | −0.948405 | + | 0.879991i | ||||
\(707\) | −25.6070 | + | 22.9389i | −0.963049 | + | 0.862705i | ||||
\(708\) | −3.92188 | − | 6.42371i | −0.147393 | − | 0.241418i | ||||
\(709\) | 10.7219 | − | 3.30726i | 0.402668 | − | 0.124207i | −0.0868045 | − | 0.996225i | \(-0.527666\pi\) |
0.489473 | + | 0.872019i | \(0.337189\pi\) | |||||||
\(710\) | 1.41681 | + | 0.213550i | 0.0531719 | + | 0.00801438i | ||||
\(711\) | 42.6761 | − | 15.4938i | 1.60048 | − | 0.581061i | ||||
\(712\) | 4.49186 | + | 4.16784i | 0.168340 | + | 0.156196i | ||||
\(713\) | −4.90307 | − | 4.54938i | −0.183621 | − | 0.170376i | ||||
\(714\) | −3.72503 | + | 16.8656i | −0.139406 | + | 0.631178i | ||||
\(715\) | −28.7901 | + | 26.7133i | −1.07669 | + | 0.999021i | ||||
\(716\) | 12.4694 | 0.466004 | ||||||||
\(717\) | 25.5719 | − | 24.9219i | 0.954999 | − | 0.930726i | ||||
\(718\) | −0.324485 | − | 1.42166i | −0.0121097 | − | 0.0530560i | ||||
\(719\) | −24.8756 | + | 16.9599i | −0.927702 | + | 0.632497i | −0.930023 | − | 0.367501i | \(-0.880214\pi\) |
0.00232115 | + | 0.999997i | \(0.499261\pi\) | |||||||
\(720\) | 24.3348 | − | 8.83486i | 0.906905 | − | 0.329256i | ||||
\(721\) | 31.2110 | − | 27.9590i | 1.16236 | − | 1.04125i | ||||
\(722\) | −53.8772 | + | 8.12068i | −2.00510 | + | 0.302220i | ||||
\(723\) | −23.4278 | + | 11.9988i | −0.871291 | + | 0.446240i | ||||
\(724\) | −1.53294 | + | 0.231053i | −0.0569713 | + | 0.00858704i | ||||
\(725\) | 9.27783 | − | 6.32551i | 0.344570 | − | 0.234924i | ||||
\(726\) | −0.186268 | − | 1.86910i | −0.00691306 | − | 0.0693687i | ||||
\(727\) | 0.131157 | − | 1.75017i | 0.00486435 | − | 0.0649102i | −0.994243 | − | 0.107146i | \(-0.965829\pi\) |
0.999108 | + | 0.0422354i | \(0.0134479\pi\) | |||||||
\(728\) | 11.3279 | + | 30.4181i | 0.419838 | + | 1.12737i | ||||
\(729\) | 13.5567 | − | 23.3499i | 0.502100 | − | 0.864810i | ||||
\(730\) | 1.41836 | − | 18.9267i | 0.0524959 | − | 0.700510i | ||||
\(731\) | 6.93007 | − | 30.3626i | 0.256318 | − | 1.12300i | ||||
\(732\) | −4.99955 | − | 5.96312i | −0.184789 | − | 0.220403i | ||||
\(733\) | −13.3717 | − | 16.7676i | −0.493897 | − | 0.619327i | 0.470944 | − | 0.882163i | \(-0.343913\pi\) |
−0.964840 | + | 0.262836i | \(0.915342\pi\) | |||||||
\(734\) | 8.38071 | + | 14.5158i | 0.309338 | + | 0.535789i | ||||
\(735\) | 36.9495 | − | 5.17375i | 1.36290 | − | 0.190837i | ||||
\(736\) | −9.16554 | + | 15.8752i | −0.337846 | + | 0.585167i | ||||
\(737\) | −32.9818 | + | 4.97121i | −1.21490 | + | 0.183117i | ||||
\(738\) | −9.74148 | − | 21.6360i | −0.358589 | − | 0.796432i | ||||
\(739\) | 16.6133 | − | 5.12452i | 0.611129 | − | 0.188508i | 0.0262856 | − | 0.999654i | \(-0.491632\pi\) |
0.584844 | + | 0.811146i | \(0.301156\pi\) | |||||||
\(740\) | −11.5066 | − | 7.84504i | −0.422990 | − | 0.288389i | ||||
\(741\) | −10.9697 | + | 54.1512i | −0.402982 | + | 1.98930i | ||||
\(742\) | −4.46579 | − | 21.2761i | −0.163944 | − | 0.781069i | ||||
\(743\) | −22.2422 | − | 15.1645i | −0.815989 | − | 0.556332i | 0.0818557 | − | 0.996644i | \(-0.473915\pi\) |
−0.897845 | + | 0.440312i | \(0.854868\pi\) | |||||||
\(744\) | −4.17596 | + | 2.99975i | −0.153098 | + | 0.109976i | ||||
\(745\) | −13.2156 | − | 6.36429i | −0.484182 | − | 0.233170i | ||||
\(746\) | 5.80607 | − | 14.7936i | 0.212575 | − | 0.541633i | ||||
\(747\) | −14.7002 | + | 2.95933i | −0.537852 | + | 0.108276i | ||||
\(748\) | −2.92306 | − | 3.66540i | −0.106878 | − | 0.134020i | ||||
\(749\) | 7.44259 | + | 9.67542i | 0.271946 | + | 0.353532i | ||||
\(750\) | 0.345408 | + | 3.46598i | 0.0126125 | + | 0.126560i | ||||
\(751\) | −26.3205 | − | 12.6753i | −0.960450 | − | 0.462529i | −0.113112 | − | 0.993582i | \(-0.536082\pi\) |
−0.847338 | + | 0.531054i | \(0.821796\pi\) | |||||||
\(752\) | −6.47945 | − | 1.99865i | −0.236281 | − | 0.0728831i | ||||
\(753\) | −2.39622 | − | 9.42647i | −0.0873230 | − | 0.343520i | ||||
\(754\) | −6.20955 | − | 10.7553i | −0.226138 | − | 0.391683i | ||||
\(755\) | −3.75720 | − | 16.4614i | −0.136738 | − | 0.599090i | ||||
\(756\) | 6.61303 | − | 0.371256i | 0.240514 | − | 0.0135024i | ||||
\(757\) | −7.66341 | + | 33.5756i | −0.278531 | + | 1.22033i | 0.621120 | + | 0.783716i | \(0.286678\pi\) |
−0.899651 | + | 0.436610i | \(0.856179\pi\) | |||||||
\(758\) | 5.73769 | − | 1.76984i | 0.208402 | − | 0.0642836i | ||||
\(759\) | 34.5975 | + | 15.6278i | 1.25581 | + | 0.567255i | ||||
\(760\) | 27.3352 | + | 69.6489i | 0.991552 | + | 2.52643i | ||||
\(761\) | 9.15770 | − | 40.1225i | 0.331966 | − | 1.45444i | −0.483351 | − | 0.875426i | \(-0.660581\pi\) |
0.815318 | − | 0.579014i | \(-0.196562\pi\) | |||||||
\(762\) | 9.78243 | + | 16.0228i | 0.354380 | + | 0.580445i | ||||
\(763\) | 0.536209 | − | 5.79258i | 0.0194121 | − | 0.209705i | ||||
\(764\) | 1.18698 | + | 5.20051i | 0.0429435 | + | 0.188148i | ||||
\(765\) | 24.0845 | + | 14.7445i | 0.870777 | + | 0.533088i | ||||
\(766\) | −8.91234 | − | 15.4366i | −0.322016 | − | 0.557748i | ||||
\(767\) | 8.05181 | + | 35.2773i | 0.290734 | + | 1.27379i | ||||
\(768\) | 14.0698 | + | 12.4268i | 0.507701 | + | 0.448414i | ||||
\(769\) | −33.5770 | − | 5.06092i | −1.21082 | − | 0.182501i | −0.487566 | − | 0.873086i | \(-0.662115\pi\) |
−0.723252 | + | 0.690584i | \(0.757353\pi\) | |||||||
\(770\) | 16.4379 | − | 27.3540i | 0.592381 | − | 0.985771i | ||||
\(771\) | −19.7857 | + | 26.0988i | −0.712565 | + | 0.939926i | ||||
\(772\) | 0.913012 | − | 0.847151i | 0.0328600 | − | 0.0304896i | ||||
\(773\) | 10.3836 | − | 26.4570i | 0.373473 | − | 0.951594i | −0.613353 | − | 0.789809i | \(-0.710180\pi\) |
0.986826 | − | 0.161785i | \(-0.0517250\pi\) | |||||||
\(774\) | 37.5893 | − | 1.84553i | 1.35112 | − | 0.0663361i | ||||
\(775\) | 1.58521 | + | 4.03904i | 0.0569424 | + | 0.145087i | ||||
\(776\) | −2.30908 | + | 30.8125i | −0.0828912 | + | 1.10611i | ||||
\(777\) | 27.0743 | + | 33.4652i | 0.971284 | + | 1.20056i | ||||
\(778\) | 1.44759 | + | 19.3167i | 0.0518985 | + | 0.692538i | ||||
\(779\) | 45.9841 | − | 22.1448i | 1.64755 | − | 0.793418i | ||||
\(780\) | 10.2992 | − | 0.252679i | 0.368771 | − | 0.00904735i | ||||
\(781\) | 1.08306 | − | 0.521575i | 0.0387550 | − | 0.0186634i | ||||
\(782\) | 25.6787 | − | 3.87044i | 0.918269 | − | 0.138407i | ||||
\(783\) | −12.7304 | + | 2.88939i | −0.454949 | + | 0.103258i | ||||
\(784\) | −11.6945 | − | 15.7665i | −0.417661 | − | 0.563090i | ||||
\(785\) | 19.3425 | − | 33.5022i | 0.690363 | − | 1.19574i | ||||
\(786\) | 37.4227 | + | 4.70505i | 1.33482 | + | 0.167824i | ||||
\(787\) | 1.75900 | − | 23.4723i | 0.0627017 | − | 0.836697i | −0.873856 | − | 0.486184i | \(-0.838388\pi\) |
0.936558 | − | 0.350512i | \(-0.113993\pi\) | |||||||
\(788\) | 2.93430 | + | 2.72264i | 0.104530 | + | 0.0969899i | ||||
\(789\) | 14.3031 | + | 17.0598i | 0.509205 | + | 0.607346i | ||||
\(790\) | −47.4121 | + | 32.3250i | −1.68685 | + | 1.15007i | ||||
\(791\) | −26.3382 | + | 3.49951i | −0.936480 | + | 0.124428i | ||||
\(792\) | 17.0549 | − | 23.6815i | 0.606020 | − | 0.841486i | ||||
\(793\) | 13.6682 | + | 34.8260i | 0.485372 | + | 1.23671i | ||||
\(794\) | −26.1229 | − | 12.5801i | −0.927066 | − | 0.446452i | ||||
\(795\) | −35.2663 | − | 4.43392i | −1.25077 | − | 0.157255i | ||||
\(796\) | −1.25882 | − | 5.51523i | −0.0446176 | − | 0.195482i | ||||
\(797\) | −2.28575 | + | 5.82398i | −0.0809652 | + | 0.206296i | −0.965624 | − | 0.259943i | \(-0.916296\pi\) |
0.884659 | + | 0.466239i | \(0.154391\pi\) | |||||||
\(798\) | −3.66940 | − | 44.7453i | −0.129895 | − | 1.58397i | ||||
\(799\) | −2.70218 | − | 6.88504i | −0.0955962 | − | 0.243575i | ||||
\(800\) | 9.82535 | − | 6.69881i | 0.347379 | − | 0.236839i | ||||
\(801\) | −5.89326 | + | 1.18639i | −0.208228 | + | 0.0419189i | ||||
\(802\) | −4.12936 | − | 7.15226i | −0.145813 | − | 0.252555i | ||||
\(803\) | −7.96188 | − | 13.7904i | −0.280969 | − | 0.486652i | ||||
\(804\) | 7.34782 | + | 4.74994i | 0.259138 | + | 0.167517i | ||||
\(805\) | −27.1934 | − | 49.0642i | −0.958440 | − | 1.72929i | ||||
\(806\) | 4.58565 | − | 1.41449i | 0.161523 | − | 0.0498231i | ||||
\(807\) | 10.7152 | + | 17.5506i | 0.377193 | + | 0.617810i | ||||
\(808\) | 24.7744 | − | 31.0661i | 0.871560 | − | 1.09290i | ||||
\(809\) | −30.7505 | − | 4.63489i | −1.08113 | − | 0.162954i | −0.415764 | − | 0.909473i | \(-0.636486\pi\) |
−0.665364 | + | 0.746519i | \(0.731724\pi\) | |||||||
\(810\) | −9.29562 | + | 32.8348i | −0.326615 | + | 1.15370i | ||||
\(811\) | −3.77836 | + | 16.5541i | −0.132676 | + | 0.581292i | 0.864258 | + | 0.503049i | \(0.167788\pi\) |
−0.996934 | + | 0.0782436i | \(0.975069\pi\) | |||||||
\(812\) | −2.30901 | − | 2.21892i | −0.0810305 | − | 0.0778689i | ||||
\(813\) | 1.40981 | − | 28.0205i | 0.0494440 | − | 0.982722i | ||||
\(814\) | 36.8192 | 1.29051 | ||||||||
\(815\) | −6.05636 | + | 10.4899i | −0.212145 | + | 0.367446i | ||||
\(816\) | 0.746602 | − | 14.8390i | 0.0261363 | − | 0.519470i | ||||
\(817\) | 6.04952 | + | 80.7253i | 0.211646 | + | 2.82422i | ||||
\(818\) | −14.5139 | + | 18.1998i | −0.507466 | + | 0.636343i | ||||
\(819\) | −30.7100 | − | 8.42150i | −1.07309 | − | 0.294271i | ||||
\(820\) | −5.93363 | − | 7.44053i | −0.207211 | − | 0.259835i | ||||
\(821\) | −0.543744 | + | 0.504521i | −0.0189768 | + | 0.0176079i | −0.689604 | − | 0.724187i | \(-0.742215\pi\) |
0.670627 | + | 0.741794i | \(0.266025\pi\) | |||||||
\(822\) | −1.78149 | − | 0.223981i | −0.0621365 | − | 0.00781224i | ||||
\(823\) | −24.3528 | + | 16.6035i | −0.848887 | + | 0.578761i | −0.907753 | − | 0.419505i | \(-0.862204\pi\) |
0.0588663 | + | 0.998266i | \(0.481251\pi\) | |||||||
\(824\) | −30.1962 | + | 37.8649i | −1.05194 | + | 1.31909i | ||||
\(825\) | −15.8226 | − | 18.8721i | −0.550872 | − | 0.657043i | ||||
\(826\) | −14.2533 | − | 25.7167i | −0.495934 | − | 0.894799i | ||||
\(827\) | −8.54092 | − | 4.11309i | −0.296997 | − | 0.143026i | 0.279451 | − | 0.960160i | \(-0.409847\pi\) |
−0.576448 | + | 0.817134i | \(0.695562\pi\) | |||||||
\(828\) | −4.08844 | − | 9.08049i | −0.142083 | − | 0.315569i | ||||
\(829\) | −18.0493 | + | 5.56748i | −0.626879 | + | 0.193366i | −0.591887 | − | 0.806021i | \(-0.701617\pi\) |
−0.0349919 | + | 0.999388i | \(0.511141\pi\) | |||||||
\(830\) | 17.0754 | − | 8.22309i | 0.592697 | − | 0.285428i | ||||
\(831\) | −2.84910 | + | 3.75818i | −0.0988342 | + | 0.130370i | ||||
\(832\) | −17.8267 | − | 30.8768i | −0.618031 | − | 1.07046i | ||||
\(833\) | 5.49251 | − | 20.6960i | 0.190304 | − | 0.717073i | ||||
\(834\) | 7.29414 | + | 2.05544i | 0.252576 | + | 0.0711740i | ||||
\(835\) | 3.59144 | − | 9.15084i | 0.124287 | − | 0.316678i | ||||
\(836\) | 10.0687 | + | 6.86471i | 0.348233 | + | 0.237421i | ||||
\(837\) | 0.00611986 | − | 5.04426i | 0.000211533 | − | 0.174355i | ||||
\(838\) | 0.180509 | − | 2.40873i | 0.00623558 | − | 0.0832081i | ||||
\(839\) | 29.2697 | − | 19.9557i | 1.01050 | − | 0.688949i | 0.0595307 | − | 0.998226i | \(-0.481040\pi\) |
0.950972 | + | 0.309277i | \(0.100087\pi\) | |||||||
\(840\) | −41.1167 | + | 12.9998i | −1.41866 | + | 0.448535i | ||||
\(841\) | −18.7461 | − | 12.7808i | −0.646416 | − | 0.440719i | ||||
\(842\) | 7.62178 | − | 9.55741i | 0.262664 | − | 0.329370i | ||||
\(843\) | 23.6437 | + | 20.8827i | 0.814331 | + | 0.719237i | ||||
\(844\) | −4.62354 | − | 5.79773i | −0.159149 | − | 0.199566i | ||||
\(845\) | −9.10299 | − | 2.80790i | −0.313152 | − | 0.0965947i | ||||
\(846\) | 7.12906 | − | 5.39098i | 0.245102 | − | 0.185346i | ||||
\(847\) | 0.133344 | + | 2.32481i | 0.00458176 | + | 0.0798813i | ||||
\(848\) | 6.83224 | + | 17.4083i | 0.234620 | + | 0.597802i | ||||
\(849\) | 8.54292 | + | 7.54532i | 0.293192 | + | 0.258955i | ||||
\(850\) | −16.0979 | − | 4.96555i | −0.552154 | − | 0.170317i | ||||
\(851\) | 32.3599 | − | 56.0490i | 1.10928 | − | 1.92134i | ||||
\(852\) | −0.303513 | − | 0.0855278i | −0.0103982 | − | 0.00293013i | ||||
\(853\) | 4.78005 | + | 1.47445i | 0.163666 | + | 0.0504842i | 0.375505 | − | 0.926820i | \(-0.377469\pi\) |
−0.211840 | + | 0.977304i | \(0.567945\pi\) | |||||||
\(854\) | −18.5352 | − | 24.0959i | −0.634261 | − | 0.824543i | ||||
\(855\) | −71.1186 | − | 18.1703i | −2.43220 | − | 0.621410i | ||||
\(856\) | −10.3423 | − | 9.59627i | −0.353493 | − | 0.327994i | ||||
\(857\) | −15.8482 | + | 19.8730i | −0.541364 | + | 0.678848i | −0.974991 | − | 0.222244i | \(-0.928662\pi\) |
0.433628 | + | 0.901092i | \(0.357233\pi\) | |||||||
\(858\) | −22.1217 | + | 15.8908i | −0.755222 | + | 0.542504i | ||||
\(859\) | 8.40963 | − | 36.8450i | 0.286933 | − | 1.25714i | −0.601777 | − | 0.798664i | \(-0.705540\pi\) |
0.888710 | − | 0.458471i | \(-0.151603\pi\) | |||||||
\(860\) | 14.4239 | − | 4.44919i | 0.491851 | − | 0.151716i | ||||
\(861\) | 10.9389 | + | 27.3063i | 0.372795 | + | 0.930595i | ||||
\(862\) | −28.9606 | − | 8.93316i | −0.986402 | − | 0.304265i | ||||
\(863\) | −13.6705 | + | 23.6780i | −0.465349 | + | 0.806008i | −0.999217 | − | 0.0395598i | \(-0.987404\pi\) |
0.533868 | + | 0.845568i | \(0.320738\pi\) | |||||||
\(864\) | −13.4817 | + | 3.05991i | −0.458657 | + | 0.104100i | ||||
\(865\) | −11.7794 | + | 10.9297i | −0.400512 | + | 0.371621i | ||||
\(866\) | −2.07397 | − | 27.6752i | −0.0704762 | − | 0.940440i | ||||
\(867\) | −10.7517 | + | 7.72332i | −0.365145 | + | 0.262298i | ||||
\(868\) | 1.03445 | − | 0.679062i | 0.0351116 | − | 0.0230489i | ||||
\(869\) | −17.5888 | + | 44.8155i | −0.596659 | + | 1.52026i | ||||
\(870\) | 14.6852 | − | 7.52117i | 0.497875 | − | 0.254992i | ||||
\(871\) | −26.2270 | − | 32.8877i | −0.888670 | − | 1.11436i | ||||
\(872\) | 0.502461 | + | 6.70487i | 0.0170155 | + | 0.227056i | ||||
\(873\) | −23.2056 | − | 19.5038i | −0.785391 | − | 0.660104i | ||||
\(874\) | −60.8163 | + | 29.2876i | −2.05714 | + | 0.990667i | ||||
\(875\) | −0.247268 | − | 4.31102i | −0.00835918 | − | 0.145739i | ||||
\(876\) | −0.829327 | + | 4.09392i | −0.0280204 | + | 0.138321i | ||||
\(877\) | 17.3120 | − | 8.33700i | 0.584583 | − | 0.281520i | −0.118125 | − | 0.992999i | \(-0.537688\pi\) |
0.702708 | + | 0.711478i | \(0.251974\pi\) | |||||||
\(878\) | 5.64694 | + | 5.23959i | 0.190575 | + | 0.176828i | ||||
\(879\) | −11.3548 | + | 31.1578i | −0.382987 | + | 1.05093i | ||||
\(880\) | −10.0295 | + | 25.5547i | −0.338094 | + | 0.861449i | ||||
\(881\) | 13.4366 | 0.452692 | 0.226346 | − | 0.974047i | \(-0.427322\pi\) | ||||
0.226346 | + | 0.974047i | \(0.427322\pi\) | |||||||
\(882\) | 25.8728 | − | 0.363453i | 0.871182 | − | 0.0122381i | ||||
\(883\) | −19.9939 | −0.672850 | −0.336425 | − | 0.941710i | \(-0.609218\pi\) | ||||
−0.336425 | + | 0.941710i | \(0.609218\pi\) | |||||||
\(884\) | 2.16010 | − | 5.50384i | 0.0726520 | − | 0.185114i | ||||
\(885\) | −47.3454 | + | 8.32853i | −1.59150 | + | 0.279960i | ||||
\(886\) | −14.3049 | − | 13.2730i | −0.480583 | − | 0.445916i | ||||
\(887\) | −31.9647 | + | 15.3934i | −1.07327 | + | 0.516860i | −0.885159 | − | 0.465288i | \(-0.845951\pi\) |
−0.188111 | + | 0.982148i | \(0.560236\pi\) | |||||||
\(888\) | −37.2899 | − | 32.9354i | −1.25137 | − | 1.10524i | ||||
\(889\) | −11.2820 | − | 20.3558i | −0.378386 | − | 0.682711i | ||||
\(890\) | 6.84548 | − | 3.29661i | 0.229461 | − | 0.110503i | ||||
\(891\) | 9.07454 | + | 27.1544i | 0.304008 | + | 0.909707i | ||||
\(892\) | 0.0854112 | + | 1.13973i | 0.00285978 | + | 0.0381611i | ||||
\(893\) | 11.9868 | + | 15.0310i | 0.401123 | + | 0.502993i | ||||
\(894\) | −8.54312 | − | 5.52263i | −0.285725 | − | 0.184704i | ||||
\(895\) | 29.0977 | − | 74.1396i | 0.972628 | − | 2.47821i | ||||
\(896\) | 10.7381 | + | 10.3191i | 0.358736 | + | 0.344739i | ||||
\(897\) | 4.74780 | + | 47.6416i | 0.158524 | + | 1.59071i | ||||
\(898\) | 2.93737 | + | 39.1965i | 0.0980213 | + | 1.30800i | ||||
\(899\) | −1.78780 | + | 1.65884i | −0.0596266 | + | 0.0553254i | ||||
\(900\) | −0.166281 | + | 6.45806i | −0.00554269 | + | 0.215269i | ||||
\(901\) | −10.1994 | + | 17.6659i | −0.339792 | + | 0.588537i | ||||
\(902\) | 24.0430 | + | 7.41629i | 0.800545 | + | 0.246935i | ||||
\(903\) | −46.6550 | + | 0.327682i | −1.55258 | + | 0.0109046i | ||||
\(904\) | 29.3449 | − | 9.05170i | 0.975996 | − | 0.301055i | ||||
\(905\) | −2.20337 | + | 9.65359i | −0.0732425 | + | 0.320896i | ||||
\(906\) | −1.16122 | − | 11.6522i | −0.0385789 | − | 0.387118i | ||||
\(907\) | −31.8235 | + | 39.9054i | −1.05668 | + | 1.32504i | −0.113215 | + | 0.993570i | \(0.536115\pi\) |
−0.943467 | + | 0.331467i | \(0.892456\pi\) | |||||||
\(908\) | −0.461788 | − | 0.428476i | −0.0153250 | − | 0.0142195i | ||||
\(909\) | 10.5276 | + | 37.5336i | 0.349177 | + | 1.24491i | ||||
\(910\) | 40.2411 | + | 0.704512i | 1.33398 | + | 0.0233543i | ||||
\(911\) | −46.9881 | − | 14.4939i | −1.55679 | − | 0.480205i | −0.607421 | − | 0.794380i | \(-0.707796\pi\) |
−0.949365 | + | 0.314176i | \(0.898272\pi\) | |||||||
\(912\) | 9.51466 | + | 37.4297i | 0.315062 | + | 1.23942i | ||||
\(913\) | 7.95034 | − | 13.7704i | 0.263118 | − | 0.455734i | ||||
\(914\) | −11.7968 | − | 3.63883i | −0.390203 | − | 0.120362i | ||||
\(915\) | −47.1216 | + | 15.8108i | −1.55779 | + | 0.522689i | ||||
\(916\) | 0.181285 | + | 0.461907i | 0.00598982 | + | 0.0152618i | ||||
\(917\) | −46.1074 | − | 7.77731i | −1.52260 | − | 0.256830i | ||||
\(918\) | 15.2971 | + | 12.2294i | 0.504879 | + | 0.403630i | ||||
\(919\) | −7.12532 | − | 2.19787i | −0.235042 | − | 0.0725010i | 0.174996 | − | 0.984569i | \(-0.444009\pi\) |
−0.410039 | + | 0.912068i | \(0.634485\pi\) | |||||||
\(920\) | 40.4244 | + | 50.6906i | 1.33275 | + | 1.67122i | ||||
\(921\) | −2.38197 | + | 11.7585i | −0.0784887 | + | 0.387454i | ||||
\(922\) | 6.98341 | − | 8.75692i | 0.229986 | − | 0.288394i | ||||
\(923\) | 1.25261 | + | 0.854016i | 0.0412302 | + | 0.0281103i | ||||
\(924\) | −4.34037 | + | 5.52177i | −0.142788 | + | 0.181653i | ||||
\(925\) | −34.6895 | + | 23.6509i | −1.14058 | + | 0.777636i | ||||
\(926\) | 1.05314 | − | 14.0532i | 0.0346084 | − | 0.461817i | ||||
\(927\) | −12.8315 | − | 45.7477i | −0.421442 | − | 1.50255i | ||||
\(928\) | 5.52262 | + | 3.76526i | 0.181289 | + | 0.123601i | ||||
\(929\) | 19.9705 | − | 50.8841i | 0.655212 | − | 1.66945i | −0.0844108 | − | 0.996431i | \(-0.526901\pi\) |
0.739623 | − | 0.673022i | \(-0.235004\pi\) | |||||||
\(930\) | 1.57069 | + | 6.17893i | 0.0515049 | + | 0.202615i | ||||
\(931\) | 2.21397 | + | 55.6135i | 0.0725599 | + | 1.82266i | ||||
\(932\) | 1.61421 | + | 2.79589i | 0.0528752 | + | 0.0915825i | ||||
\(933\) | 7.47118 | + | 17.7438i | 0.244595 | + | 0.580905i | ||||
\(934\) | 3.29187 | − | 1.58528i | 0.107713 | − | 0.0518719i | ||||
\(935\) | −28.6144 | + | 8.82638i | −0.935792 | + | 0.288654i | ||||
\(936\) | 36.6191 | + | 3.69421i | 1.19693 | + | 0.120749i | ||||
\(937\) | −20.7368 | − | 9.98632i | −0.677442 | − | 0.326239i | 0.0633325 | − | 0.997992i | \(-0.479827\pi\) |
−0.740775 | + | 0.671754i | \(0.765541\pi\) | |||||||
\(938\) | 27.9001 | + | 19.7461i | 0.910970 | + | 0.644733i | ||||
\(939\) | 3.94676 | − | 10.8300i | 0.128798 | − | 0.353424i | ||||
\(940\) | 2.23510 | − | 2.80273i | 0.0729009 | − | 0.0914149i | ||||
\(941\) | 9.57334 | − | 6.52699i | 0.312082 | − | 0.212774i | −0.397142 | − | 0.917757i | \(-0.629998\pi\) |
0.709224 | + | 0.704983i | \(0.249046\pi\) | |||||||
\(942\) | 16.2081 | − | 21.3796i | 0.528087 | − | 0.696586i | ||||
\(943\) | 32.4208 | − | 30.0821i | 1.05577 | − | 0.979607i | ||||
\(944\) | 15.7697 | + | 19.7746i | 0.513261 | + | 0.643608i | ||||
\(945\) | 13.2243 | − | 40.1856i | 0.430186 | − | 1.30724i | ||||
\(946\) | −24.8818 | + | 31.2008i | −0.808979 | + | 1.01443i | ||||
\(947\) | 1.20150 | + | 16.0329i | 0.0390434 | + | 0.520999i | 0.982099 | + | 0.188364i | \(0.0603185\pi\) |
−0.943056 | + | 0.332635i | \(0.892062\pi\) | |||||||
\(948\) | 11.2404 | − | 5.75687i | 0.365071 | − | 0.186975i | ||||
\(949\) | 10.0411 | − | 17.3918i | 0.325949 | − | 0.564560i | ||||
\(950\) | 43.7890 | 1.42070 | ||||||||
\(951\) | −5.21678 | − | 3.37235i | −0.169166 | − | 0.109356i | ||||
\(952\) | −2.28117 | + | 24.6431i | −0.0739331 | + | 0.798686i | ||||
\(953\) | 3.18847 | − | 13.9696i | 0.103285 | − | 0.452520i | −0.896667 | − | 0.442705i | \(-0.854019\pi\) |
0.999952 | − | 0.00981458i | \(-0.00312413\pi\) | |||||||
\(954\) | −23.8833 | − | 6.10201i | −0.773251 | − | 0.197560i | ||||
\(955\) | 33.6906 | + | 5.07804i | 1.09020 | + | 0.164322i | ||||
\(956\) | 6.19271 | − | 7.76541i | 0.200287 | − | 0.251151i | ||||
\(957\) | 6.62518 | − | 12.1542i | 0.214162 | − | 0.392888i | ||||
\(958\) | −0.177594 | + | 0.0547804i | −0.00573779 | + | 0.00176987i | ||||
\(959\) | 2.19492 | + | 0.370234i | 0.0708775 | + | 0.0119555i | ||||
\(960\) | 42.1592 | − | 21.5922i | 1.36068 | − | 0.696886i | ||||
\(961\) | 15.0288 | + | 26.0307i | 0.484800 | + | 0.839698i | ||||
\(962\) | 23.2173 | + | 40.2135i | 0.748555 | + | 1.29654i | ||||
\(963\) | 13.5690 | − | 2.73161i | 0.437254 | − | 0.0880248i | ||||
\(964\) | −6.04941 | + | 4.12442i | −0.194838 | + | 0.132839i | ||||
\(965\) | −2.90639 | − | 7.40535i | −0.0935599 | − | 0.238387i | ||||
\(966\) | −14.4672 | − | 36.1139i | −0.465474 | − | 1.16195i | ||||
\(967\) | −12.2656 | + | 31.2522i | −0.394435 | + | 1.00500i | 0.586376 | + | 0.810039i | \(0.300554\pi\) |
−0.980810 | + | 0.194964i | \(0.937541\pi\) | |||||||
\(968\) | −0.598898 | − | 2.62394i | −0.0192493 | − | 0.0843367i | ||||
\(969\) | −25.4497 | + | 33.5701i | −0.817562 | + | 1.07843i | ||||
\(970\) | 34.5188 | + | 16.6234i | 1.10833 | + | 0.533745i | ||||
\(971\) | 21.6450 | + | 55.1506i | 0.694622 | + | 1.76987i | 0.636132 | + | 0.771581i | \(0.280534\pi\) |
0.0584906 | + | 0.998288i | \(0.481371\pi\) | |||||||
\(972\) | 2.93124 | − | 6.91463i | 0.0940197 | − | 0.221787i | ||||
\(973\) | −8.92759 | − | 2.92590i | −0.286205 | − | 0.0937999i | ||||
\(974\) | −37.9304 | + | 25.8605i | −1.21537 | + | 0.828625i | ||||
\(975\) | 10.6346 | − | 29.1816i | 0.340579 | − | 0.934558i | ||||
\(976\) | 19.1699 | + | 17.7871i | 0.613614 | + | 0.569350i | ||||
\(977\) | −0.0858119 | + | 1.14508i | −0.00274537 | + | 0.0366344i | −0.998408 | − | 0.0564003i | \(-0.982038\pi\) |
0.995663 | + | 0.0930347i | \(0.0296567\pi\) | |||||||
\(978\) | −5.07494 | + | 6.69422i | −0.162279 | + | 0.214058i | ||||
\(979\) | 3.18727 | − | 5.52051i | 0.101865 | − | 0.176436i | ||||
\(980\) | 10.0180 | − | 2.70999i | 0.320014 | − | 0.0865675i | ||||
\(981\) | −5.62573 | − | 3.44407i | −0.179616 | − | 0.109961i | ||||
\(982\) | −25.5796 | + | 3.85550i | −0.816278 | + | 0.123034i | ||||
\(983\) | 51.4967 | − | 24.7995i | 1.64249 | − | 0.790981i | 0.642800 | − | 0.766034i | \(-0.277772\pi\) |
0.999689 | − | 0.0249475i | \(-0.00794186\pi\) | |||||||
\(984\) | −17.7164 | − | 29.0180i | −0.564778 | − | 0.925059i | ||||
\(985\) | 23.0353 | − | 11.0932i | 0.733965 | − | 0.353459i | ||||
\(986\) | −0.707618 | − | 9.44250i | −0.0225351 | − | 0.300710i | ||||
\(987\) | −9.11104 | + | 6.30599i | −0.290007 | + | 0.200722i | ||||
\(988\) | −1.14850 | + | 15.3256i | −0.0365385 | + | 0.487573i | ||||
\(989\) | 25.6280 | + | 65.2991i | 0.814923 | + | 2.07639i | ||||
\(990\) | −19.6080 | − | 30.4131i | −0.623184 | − | 0.966593i | ||||
\(991\) | 6.16283 | − | 15.7026i | 0.195769 | − | 0.498811i | −0.798956 | − | 0.601389i | \(-0.794614\pi\) |
0.994725 | + | 0.102579i | \(0.0327093\pi\) | |||||||
\(992\) | −1.89331 | + | 1.75673i | −0.0601127 | + | 0.0557764i | ||||
\(993\) | 7.26279 | + | 0.913130i | 0.230478 | + | 0.0289773i | ||||
\(994\) | −1.17062 | − | 0.383656i | −0.0371299 | − | 0.0121688i | ||||
\(995\) | −35.7295 | − | 5.38535i | −1.13270 | − | 0.170727i | ||||
\(996\) | −3.95436 | + | 1.32682i | −0.125299 | + | 0.0420417i | ||||
\(997\) | −3.59200 | − | 15.7376i | −0.113760 | − | 0.498415i | −0.999419 | − | 0.0340789i | \(-0.989150\pi\) |
0.885659 | − | 0.464336i | \(-0.153707\pi\) | |||||||
\(998\) | −12.3740 | − | 21.4324i | −0.391692 | − | 0.678430i | ||||
\(999\) | 47.5987 | − | 10.8033i | 1.50595 | − | 0.341803i |
(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 | 441.2.z.a.142.37 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.37 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.37 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.37 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.37 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.37 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.37 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.37 | yes | 648 | 441.382 | even | 21 | inner |