Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(11,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.q (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Character | \(\chi\) | \(=\) | 690.11 |
Dual form | 690.2.q.a.251.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.540641 | − | 0.841254i | −0.382291 | − | 0.594856i | ||||
\(3\) | −1.73087 | + | 0.0639912i | −0.999317 | + | 0.0369453i | ||||
\(4\) | −0.415415 | + | 0.909632i | −0.207708 | + | 0.454816i | ||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | 0.989611 | + | 1.42150i | 0.404007 | + | 0.580326i | ||||
\(7\) | 0.918508 | − | 0.795892i | 0.347163 | − | 0.300819i | −0.463772 | − | 0.885955i | \(-0.653504\pi\) |
0.810935 | + | 0.585136i | \(0.198959\pi\) | |||||||
\(8\) | 0.989821 | − | 0.142315i | 0.349955 | − | 0.0503159i | ||||
\(9\) | 2.99181 | − | 0.221521i | 0.997270 | − | 0.0738402i | ||||
\(10\) | 0.755750 | + | 0.654861i | 0.238989 | + | 0.207085i | ||||
\(11\) | −3.79809 | − | 2.44088i | −1.14517 | − | 0.735954i | −0.176496 | − | 0.984301i | \(-0.556476\pi\) |
−0.968671 | + | 0.248347i | \(0.920113\pi\) | |||||||
\(12\) | 0.660820 | − | 1.60104i | 0.190762 | − | 0.462179i | ||||
\(13\) | 0.541306 | − | 0.624700i | 0.150131 | − | 0.173261i | −0.675702 | − | 0.737175i | \(-0.736160\pi\) |
0.825834 | + | 0.563914i | \(0.190705\pi\) | |||||||
\(14\) | −1.16613 | − | 0.342407i | −0.311661 | − | 0.0915120i | ||||
\(15\) | 1.64273 | − | 0.549041i | 0.424150 | − | 0.141762i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 2.35358 | + | 5.15361i | 0.570826 | + | 1.24994i | 0.946356 | + | 0.323125i | \(0.104733\pi\) |
−0.375530 | + | 0.926810i | \(0.622539\pi\) | |||||||
\(18\) | −1.80385 | − | 2.39711i | −0.425171 | − | 0.565004i | ||||
\(19\) | −5.34856 | − | 2.44261i | −1.22704 | − | 0.560372i | −0.306822 | − | 0.951767i | \(-0.599266\pi\) |
−0.920223 | + | 0.391395i | \(0.871993\pi\) | |||||||
\(20\) | 0.142315 | − | 0.989821i | 0.0318226 | − | 0.221331i | ||||
\(21\) | −1.53889 | + | 1.43636i | −0.335813 | + | 0.313440i | ||||
\(22\) | 4.51480i | 0.962558i | ||||||||
\(23\) | 4.39922 | − | 1.90967i | 0.917301 | − | 0.398194i | ||||
\(24\) | −1.70414 | + | 0.309668i | −0.347857 | + | 0.0632107i | ||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | −0.818184 | − | 0.117637i | −0.160459 | − | 0.0230705i | ||||
\(27\) | −5.16425 | + | 0.574873i | −0.993861 | + | 0.110634i | ||||
\(28\) | 0.342407 | + | 1.16613i | 0.0647088 | + | 0.220378i | ||||
\(29\) | −6.42428 | + | 2.93387i | −1.19296 | + | 0.544806i | −0.910113 | − | 0.414360i | \(-0.864005\pi\) |
−0.282845 | + | 0.959166i | \(0.591278\pi\) | |||||||
\(30\) | −1.35001 | − | 1.08512i | −0.246477 | − | 0.198114i | ||||
\(31\) | 0.809818 | + | 5.63241i | 0.145448 | + | 1.01161i | 0.923551 | + | 0.383475i | \(0.125273\pi\) |
−0.778104 | + | 0.628136i | \(0.783818\pi\) | |||||||
\(32\) | −0.281733 | + | 0.959493i | −0.0498038 | + | 0.169616i | ||||
\(33\) | 6.73019 | + | 3.98181i | 1.17158 | + | 0.693143i | ||||
\(34\) | 3.06306 | − | 4.76621i | 0.525310 | − | 0.817398i | ||||
\(35\) | −0.657074 | + | 1.02243i | −0.111066 | + | 0.172822i | ||||
\(36\) | −1.04134 | + | 2.81347i | −0.173557 | + | 0.468912i | ||||
\(37\) | −2.68722 | + | 9.15183i | −0.441776 | + | 1.50455i | 0.374685 | + | 0.927152i | \(0.377751\pi\) |
−0.816462 | + | 0.577400i | \(0.804067\pi\) | |||||||
\(38\) | 0.836800 | + | 5.82007i | 0.135747 | + | 0.944140i | ||||
\(39\) | −0.896954 | + | 1.11591i | −0.143628 | + | 0.178689i | ||||
\(40\) | −0.909632 | + | 0.415415i | −0.143825 | + | 0.0656829i | ||||
\(41\) | −0.674489 | − | 2.29710i | −0.105337 | − | 0.358746i | 0.889909 | − | 0.456139i | \(-0.150768\pi\) |
−0.995246 | + | 0.0973925i | \(0.968950\pi\) | |||||||
\(42\) | 2.04033 | + | 0.518039i | 0.314830 | + | 0.0799351i | ||||
\(43\) | −1.09713 | − | 0.157743i | −0.167311 | − | 0.0240557i | 0.0581503 | − | 0.998308i | \(-0.481480\pi\) |
−0.225461 | + | 0.974252i | \(0.572389\pi\) | |||||||
\(44\) | 3.79809 | − | 2.44088i | 0.572584 | − | 0.367977i | ||||
\(45\) | −2.80821 | + | 1.05544i | −0.418623 | + | 0.157335i | ||||
\(46\) | −3.98492 | − | 2.66842i | −0.587544 | − | 0.393436i | ||||
\(47\) | 10.1087i | 1.47450i | 0.675620 | + | 0.737250i | \(0.263876\pi\) | ||||
−0.675620 | + | 0.737250i | \(0.736124\pi\) | |||||||
\(48\) | 1.18184 | + | 1.26620i | 0.170584 | + | 0.182760i | ||||
\(49\) | −0.785990 | + | 5.46668i | −0.112284 | + | 0.780955i | ||||
\(50\) | −0.909632 | − | 0.415415i | −0.128641 | − | 0.0587486i | ||||
\(51\) | −4.40352 | − | 8.76962i | −0.616616 | − | 1.22799i | ||||
\(52\) | 0.343381 | + | 0.751899i | 0.0476184 | + | 0.104270i | ||||
\(53\) | 4.13803 | + | 4.77554i | 0.568402 | + | 0.655971i | 0.965070 | − | 0.261991i | \(-0.0843791\pi\) |
−0.396668 | + | 0.917962i | \(0.629834\pi\) | |||||||
\(54\) | 3.27562 | + | 4.03365i | 0.445755 | + | 0.548910i | ||||
\(55\) | 4.33192 | + | 1.27197i | 0.584116 | + | 0.171512i | ||||
\(56\) | 0.795892 | − | 0.918508i | 0.106356 | − | 0.122741i | ||||
\(57\) | 9.41396 | + | 3.88557i | 1.24691 | + | 0.514656i | ||||
\(58\) | 5.94135 | + | 3.81828i | 0.780138 | + | 0.501364i | ||||
\(59\) | 10.1925 | + | 8.83189i | 1.32696 | + | 1.14981i | 0.977046 | + | 0.213030i | \(0.0683333\pi\) |
0.349910 | + | 0.936783i | \(0.386212\pi\) | |||||||
\(60\) | −0.182988 | + | 1.72236i | −0.0236237 | + | 0.222355i | ||||
\(61\) | −11.5222 | + | 1.65664i | −1.47526 | + | 0.212111i | −0.832530 | − | 0.553980i | \(-0.813108\pi\) |
−0.642732 | + | 0.766091i | \(0.722199\pi\) | |||||||
\(62\) | 4.30046 | − | 3.72637i | 0.546160 | − | 0.473250i | ||||
\(63\) | 2.57170 | − | 2.58463i | 0.324003 | − | 0.325632i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | −0.343381 | + | 0.751899i | −0.0425912 | + | 0.0932616i | ||||
\(66\) | −0.288907 | − | 7.81452i | −0.0355620 | − | 0.961901i | ||||
\(67\) | 3.39400 | + | 5.28116i | 0.414643 | + | 0.645197i | 0.984263 | − | 0.176712i | \(-0.0565460\pi\) |
−0.569620 | + | 0.821908i | \(0.692910\pi\) | |||||||
\(68\) | −5.66560 | −0.687055 | ||||||||
\(69\) | −7.49227 | + | 3.58690i | −0.901964 | + | 0.431812i | ||||
\(70\) | 1.21536 | 0.145263 | ||||||||
\(71\) | −5.79095 | − | 9.01089i | −0.687259 | − | 1.06940i | −0.993095 | − | 0.117312i | \(-0.962572\pi\) |
0.305836 | − | 0.952084i | \(-0.401064\pi\) | |||||||
\(72\) | 2.92983 | − | 0.645045i | 0.345284 | − | 0.0760193i | ||||
\(73\) | 3.89553 | − | 8.53001i | 0.455937 | − | 0.998362i | −0.532458 | − | 0.846456i | \(-0.678732\pi\) |
0.988395 | − | 0.151906i | \(-0.0485411\pi\) | |||||||
\(74\) | 9.15183 | − | 2.68722i | 1.06388 | − | 0.312383i | ||||
\(75\) | −1.42150 | + | 0.989611i | −0.164141 | + | 0.114270i | ||||
\(76\) | 4.44375 | − | 3.85053i | 0.509733 | − | 0.441686i | ||||
\(77\) | −5.43126 | + | 0.780897i | −0.618949 | + | 0.0889915i | ||||
\(78\) | 1.42370 | + | 0.151258i | 0.161202 | + | 0.0171266i | ||||
\(79\) | −8.25506 | − | 7.15305i | −0.928767 | − | 0.804781i | 0.0522639 | − | 0.998633i | \(-0.483356\pi\) |
−0.981031 | + | 0.193852i | \(0.937902\pi\) | |||||||
\(80\) | 0.841254 | + | 0.540641i | 0.0940550 | + | 0.0604455i | ||||
\(81\) | 8.90186 | − | 1.32550i | 0.989095 | − | 0.147277i | ||||
\(82\) | −1.56779 | + | 1.80932i | −0.173133 | + | 0.199806i | ||||
\(83\) | −4.95270 | − | 1.45424i | −0.543630 | − | 0.159624i | −0.00162375 | − | 0.999999i | \(-0.500517\pi\) |
−0.542006 | + | 0.840375i | \(0.682335\pi\) | |||||||
\(84\) | −0.667283 | − | 1.99651i | −0.0728065 | − | 0.217837i | ||||
\(85\) | −3.71018 | − | 4.28178i | −0.402426 | − | 0.464424i | ||||
\(86\) | 0.460451 | + | 1.00825i | 0.0496517 | + | 0.108722i | ||||
\(87\) | 10.9318 | − | 5.48924i | 1.17202 | − | 0.588508i | ||||
\(88\) | −4.10681 | − | 1.87552i | −0.437787 | − | 0.199931i | ||||
\(89\) | −2.66990 | + | 18.5696i | −0.283009 | + | 1.96837i | −0.0360269 | + | 0.999351i | \(0.511470\pi\) |
−0.246982 | + | 0.969020i | \(0.579439\pi\) | |||||||
\(90\) | 2.40612 | + | 1.79180i | 0.253628 | + | 0.188873i | ||||
\(91\) | − | 1.00461i | − | 0.105312i | ||||||
\(92\) | −0.0904052 | + | 4.79498i | −0.00942539 | + | 0.499911i | ||||
\(93\) | −1.76211 | − | 9.69714i | −0.182723 | − | 1.00555i | ||||
\(94\) | 8.50395 | − | 5.46516i | 0.877115 | − | 0.563688i | ||||
\(95\) | 5.82007 | + | 0.836800i | 0.597127 | + | 0.0858539i | ||||
\(96\) | 0.426243 | − | 1.67878i | 0.0435032 | − | 0.171340i | ||||
\(97\) | −2.65640 | − | 9.04686i | −0.269716 | − | 0.918569i | −0.977286 | − | 0.211926i | \(-0.932027\pi\) |
0.707570 | − | 0.706644i | \(-0.249792\pi\) | |||||||
\(98\) | 5.02381 | − | 2.29429i | 0.507481 | − | 0.231759i | ||||
\(99\) | −11.9039 | − | 6.46131i | −1.19638 | − | 0.649386i | ||||
\(100\) | 0.142315 | + | 0.989821i | 0.0142315 | + | 0.0989821i | ||||
\(101\) | 0.720376 | − | 2.45338i | 0.0716801 | − | 0.244120i | −0.915857 | − | 0.401504i | \(-0.868488\pi\) |
0.987538 | + | 0.157384i | \(0.0503059\pi\) | |||||||
\(102\) | −4.99675 | + | 8.44569i | −0.494752 | + | 0.836248i | ||||
\(103\) | −2.93126 | + | 4.56113i | −0.288826 | + | 0.449421i | −0.955099 | − | 0.296286i | \(-0.904252\pi\) |
0.666274 | + | 0.745707i | \(0.267888\pi\) | |||||||
\(104\) | 0.446892 | − | 0.695378i | 0.0438214 | − | 0.0681874i | ||||
\(105\) | 1.07188 | − | 1.81173i | 0.104605 | − | 0.176807i | ||||
\(106\) | 1.78025 | − | 6.06298i | 0.172913 | − | 0.588889i | ||||
\(107\) | 0.0750997 | + | 0.522330i | 0.00726016 | + | 0.0504955i | 0.993129 | − | 0.117021i | \(-0.0373344\pi\) |
−0.985869 | + | 0.167516i | \(0.946425\pi\) | |||||||
\(108\) | 1.62239 | − | 4.93638i | 0.156114 | − | 0.475004i | ||||
\(109\) | 2.22756 | − | 1.01729i | 0.213361 | − | 0.0974387i | −0.305868 | − | 0.952074i | \(-0.598947\pi\) |
0.519229 | + | 0.854635i | \(0.326219\pi\) | |||||||
\(110\) | −1.27197 | − | 4.33192i | −0.121277 | − | 0.413032i | ||||
\(111\) | 4.06559 | − | 16.0126i | 0.385888 | − | 1.51985i | ||||
\(112\) | −1.20299 | − | 0.172964i | −0.113672 | − | 0.0163435i | ||||
\(113\) | −12.0956 | + | 7.77336i | −1.13786 | + | 0.731256i | −0.967185 | − | 0.254072i | \(-0.918230\pi\) |
−0.170672 | + | 0.985328i | \(0.554594\pi\) | |||||||
\(114\) | −1.82082 | − | 10.0202i | −0.170536 | − | 0.938480i | ||||
\(115\) | −3.68301 | + | 3.07172i | −0.343442 | + | 0.286439i | ||||
\(116\) | − | 7.06250i | − | 0.655737i | ||||||
\(117\) | 1.48110 | − | 1.98890i | 0.136928 | − | 0.183873i | ||||
\(118\) | 1.91935 | − | 13.3494i | 0.176691 | − | 1.22891i | ||||
\(119\) | 6.26350 | + | 2.86044i | 0.574174 | + | 0.262217i | ||||
\(120\) | 1.54787 | − | 0.777237i | 0.141301 | − | 0.0709517i | ||||
\(121\) | 3.89801 | + | 8.53545i | 0.354364 | + | 0.775950i | ||||
\(122\) | 7.62301 | + | 8.79742i | 0.690154 | + | 0.796481i | ||||
\(123\) | 1.31445 | + | 3.93281i | 0.118520 | + | 0.354610i | ||||
\(124\) | −5.45983 | − | 1.60315i | −0.490307 | − | 0.143967i | ||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | −3.56469 | − | 0.766094i | −0.317568 | − | 0.0682491i | ||||
\(127\) | −6.55966 | − | 4.21564i | −0.582076 | − | 0.374077i | 0.216218 | − | 0.976345i | \(-0.430628\pi\) |
−0.798294 | + | 0.602268i | \(0.794264\pi\) | |||||||
\(128\) | −0.755750 | − | 0.654861i | −0.0667995 | − | 0.0578821i | ||||
\(129\) | 1.90908 | + | 0.202827i | 0.168085 | + | 0.0178579i | ||||
\(130\) | 0.818184 | − | 0.117637i | 0.0717594 | − | 0.0103174i | ||||
\(131\) | −5.92912 | + | 5.13761i | −0.518030 | + | 0.448875i | −0.874214 | − | 0.485540i | \(-0.838623\pi\) |
0.356185 | + | 0.934416i | \(0.384077\pi\) | |||||||
\(132\) | −6.41780 | + | 4.46789i | −0.558598 | + | 0.388880i | ||||
\(133\) | −6.85675 | + | 2.01332i | −0.594556 | + | 0.174577i | ||||
\(134\) | 2.60786 | − | 5.71042i | 0.225285 | − | 0.493305i | ||||
\(135\) | 4.79311 | − | 2.00652i | 0.412525 | − | 0.172694i | ||||
\(136\) | 3.06306 | + | 4.76621i | 0.262655 | + | 0.408699i | ||||
\(137\) | 5.17810 | 0.442395 | 0.221198 | − | 0.975229i | \(-0.429003\pi\) | ||||
0.221198 | + | 0.975229i | \(0.429003\pi\) | |||||||
\(138\) | 7.06812 | + | 4.36368i | 0.601678 | + | 0.371461i | ||||
\(139\) | 4.09865 | 0.347643 | 0.173821 | − | 0.984777i | \(-0.444388\pi\) | ||||
0.173821 | + | 0.984777i | \(0.444388\pi\) | |||||||
\(140\) | −0.657074 | − | 1.02243i | −0.0555329 | − | 0.0864108i | ||||
\(141\) | −0.646865 | − | 17.4968i | −0.0544759 | − | 1.47349i | ||||
\(142\) | −4.44962 | + | 9.74331i | −0.373404 | + | 0.817640i | ||||
\(143\) | −3.58075 | + | 1.05140i | −0.299437 | + | 0.0879227i | ||||
\(144\) | −2.12663 | − | 2.11599i | −0.177219 | − | 0.176333i | ||||
\(145\) | 5.33748 | − | 4.62495i | 0.443254 | − | 0.384081i | ||||
\(146\) | −9.28198 | + | 1.33455i | −0.768182 | + | 0.110448i | ||||
\(147\) | 1.01063 | − | 9.51241i | 0.0833551 | − | 0.784570i | ||||
\(148\) | −7.20849 | − | 6.24619i | −0.592534 | − | 0.513434i | ||||
\(149\) | 4.17612 | + | 2.68383i | 0.342121 | + | 0.219868i | 0.700406 | − | 0.713744i | \(-0.253002\pi\) |
−0.358285 | + | 0.933612i | \(0.616639\pi\) | |||||||
\(150\) | 1.60104 | + | 0.660820i | 0.130724 | + | 0.0539557i | ||||
\(151\) | −2.90627 | + | 3.35401i | −0.236509 | + | 0.272946i | −0.861580 | − | 0.507622i | \(-0.830525\pi\) |
0.625071 | + | 0.780568i | \(0.285070\pi\) | |||||||
\(152\) | −5.64174 | − | 1.65656i | −0.457606 | − | 0.134365i | ||||
\(153\) | 8.18309 | + | 14.8973i | 0.661563 | + | 1.20437i | ||||
\(154\) | 3.59329 | + | 4.14688i | 0.289556 | + | 0.334165i | ||||
\(155\) | −2.36385 | − | 5.17611i | −0.189869 | − | 0.415755i | ||||
\(156\) | −0.642462 | − | 1.27947i | −0.0514381 | − | 0.102439i | ||||
\(157\) | −7.02196 | − | 3.20682i | −0.560414 | − | 0.255932i | 0.115007 | − | 0.993365i | \(-0.463311\pi\) |
−0.675421 | + | 0.737432i | \(0.736038\pi\) | |||||||
\(158\) | −1.55451 | + | 10.8118i | −0.123670 | + | 0.860143i | ||||
\(159\) | −7.46798 | − | 8.00103i | −0.592249 | − | 0.634523i | ||||
\(160\) | − | 1.00000i | − | 0.0790569i | ||||||
\(161\) | 2.52083 | − | 5.25535i | 0.198669 | − | 0.414180i | ||||
\(162\) | −5.92779 | − | 6.77210i | −0.465731 | − | 0.532067i | ||||
\(163\) | 9.13396 | − | 5.87004i | 0.715427 | − | 0.459777i | −0.131616 | − | 0.991301i | \(-0.542017\pi\) |
0.847043 | + | 0.531524i | \(0.178380\pi\) | |||||||
\(164\) | 2.36971 | + | 0.340712i | 0.185043 | + | 0.0266052i | ||||
\(165\) | −7.57937 | − | 1.92440i | −0.590053 | − | 0.149814i | ||||
\(166\) | 1.45424 | + | 4.95270i | 0.112871 | + | 0.384404i | ||||
\(167\) | −8.04012 | + | 3.67180i | −0.622163 | + | 0.284132i | −0.701449 | − | 0.712720i | \(-0.747463\pi\) |
0.0792861 | + | 0.996852i | \(0.474736\pi\) | |||||||
\(168\) | −1.31881 | + | 1.64075i | −0.101748 | + | 0.126586i | ||||
\(169\) | 1.75285 | + | 12.1914i | 0.134835 | + | 0.937798i | ||||
\(170\) | −1.59619 | + | 5.43611i | −0.122422 | + | 0.416930i | ||||
\(171\) | −16.5430 | − | 6.12300i | −1.26507 | − | 0.468237i | ||||
\(172\) | 0.599253 | − | 0.932456i | 0.0456926 | − | 0.0710991i | ||||
\(173\) | 5.31578 | − | 8.27151i | 0.404151 | − | 0.628871i | −0.578205 | − | 0.815892i | \(-0.696247\pi\) |
0.982356 | + | 0.187020i | \(0.0598830\pi\) | |||||||
\(174\) | −10.5280 | − | 6.22874i | −0.798128 | − | 0.472199i | ||||
\(175\) | 0.342407 | − | 1.16613i | 0.0258835 | − | 0.0881511i | ||||
\(176\) | 0.642523 | + | 4.46884i | 0.0484320 | + | 0.336852i | ||||
\(177\) | −18.2071 | − | 14.6346i | −1.36853 | − | 1.10000i | ||||
\(178\) | 17.0652 | − | 7.79341i | 1.27909 | − | 0.584140i | ||||
\(179\) | −7.40069 | − | 25.2044i | −0.553153 | − | 1.88387i | −0.459299 | − | 0.888282i | \(-0.651899\pi\) |
−0.0938544 | − | 0.995586i | \(-0.529919\pi\) | |||||||
\(180\) | 0.206513 | − | 2.99288i | 0.0153926 | − | 0.223076i | ||||
\(181\) | 17.9041 | + | 2.57422i | 1.33080 | + | 0.191340i | 0.770761 | − | 0.637125i | \(-0.219876\pi\) |
0.560041 | + | 0.828465i | \(0.310785\pi\) | |||||||
\(182\) | −0.845135 | + | 0.543135i | −0.0626455 | + | 0.0402598i | ||||
\(183\) | 19.8373 | − | 3.60474i | 1.46642 | − | 0.266470i | ||||
\(184\) | 4.08267 | − | 2.51631i | 0.300978 | − | 0.185505i | ||||
\(185\) | − | 9.53820i | − | 0.701262i | ||||||
\(186\) | −7.20508 | + | 6.72505i | −0.528302 | + | 0.493105i | ||||
\(187\) | 3.64028 | − | 25.3187i | 0.266204 | − | 1.85149i | ||||
\(188\) | −9.19516 | − | 4.19929i | −0.670626 | − | 0.306265i | ||||
\(189\) | −4.28587 | + | 4.63821i | −0.311751 | + | 0.337380i | ||||
\(190\) | −2.44261 | − | 5.34856i | −0.177205 | − | 0.388026i | ||||
\(191\) | −10.4151 | − | 12.0197i | −0.753611 | − | 0.869713i | 0.241302 | − | 0.970450i | \(-0.422426\pi\) |
−0.994913 | + | 0.100737i | \(0.967880\pi\) | |||||||
\(192\) | −1.64273 | + | 0.549041i | −0.118554 | + | 0.0396236i | ||||
\(193\) | −13.5764 | − | 3.98640i | −0.977253 | − | 0.286947i | −0.246163 | − | 0.969228i | \(-0.579170\pi\) |
−0.731090 | + | 0.682281i | \(0.760988\pi\) | |||||||
\(194\) | −6.17454 | + | 7.12580i | −0.443306 | + | 0.511603i | ||||
\(195\) | 0.546232 | − | 1.32341i | 0.0391165 | − | 0.0947715i | ||||
\(196\) | −4.64616 | − | 2.98590i | −0.331868 | − | 0.213279i | ||||
\(197\) | 20.2144 | + | 17.5159i | 1.44022 | + | 1.24796i | 0.918839 | + | 0.394632i | \(0.129128\pi\) |
0.521380 | + | 0.853325i | \(0.325418\pi\) | |||||||
\(198\) | 1.00012 | + | 13.5074i | 0.0710755 | + | 0.959931i | ||||
\(199\) | −2.29120 | + | 0.329425i | −0.162419 | + | 0.0233523i | −0.223044 | − | 0.974808i | \(-0.571599\pi\) |
0.0606257 | + | 0.998161i | \(0.480690\pi\) | |||||||
\(200\) | 0.755750 | − | 0.654861i | 0.0534396 | − | 0.0463056i | ||||
\(201\) | −6.21251 | − | 8.92381i | −0.438197 | − | 0.629437i | ||||
\(202\) | −2.45338 | + | 0.720376i | −0.172619 | + | 0.0506855i | ||||
\(203\) | −3.56571 | + | 7.80781i | −0.250264 | + | 0.548001i | ||||
\(204\) | 9.80641 | − | 0.362549i | 0.686586 | − | 0.0253835i | ||||
\(205\) | 1.29433 | + | 2.01402i | 0.0904002 | + | 0.140666i | ||||
\(206\) | 5.42182 | 0.377756 | ||||||||
\(207\) | 12.7386 | − | 6.68789i | 0.885394 | − | 0.464841i | ||||
\(208\) | −0.826597 | −0.0573142 | ||||||||
\(209\) | 14.3522 | + | 22.3325i | 0.992763 | + | 1.54477i | ||||
\(210\) | −2.10363 | + | 0.0777724i | −0.145164 | + | 0.00536680i | ||||
\(211\) | 0.389953 | − | 0.853877i | 0.0268454 | − | 0.0587833i | −0.895734 | − | 0.444590i | \(-0.853349\pi\) |
0.922580 | + | 0.385806i | \(0.126077\pi\) | |||||||
\(212\) | −6.06298 | + | 1.78025i | −0.416407 | + | 0.122268i | ||||
\(213\) | 10.6000 | + | 15.2261i | 0.726299 | + | 1.04327i | ||||
\(214\) | 0.398810 | − | 0.345571i | 0.0272621 | − | 0.0236227i | ||||
\(215\) | 1.09713 | − | 0.157743i | 0.0748236 | − | 0.0107580i | ||||
\(216\) | −5.02988 | + | 1.30397i | −0.342240 | + | 0.0887240i | ||||
\(217\) | 5.22661 | + | 4.52889i | 0.354806 | + | 0.307441i | ||||
\(218\) | −2.06011 | − | 1.32395i | −0.139528 | − | 0.0896692i | ||||
\(219\) | −6.19680 | + | 15.0136i | −0.418741 | + | 1.01453i | ||||
\(220\) | −2.95656 | + | 3.41206i | −0.199332 | + | 0.230041i | ||||
\(221\) | 4.49347 | + | 1.31940i | 0.302264 | + | 0.0887526i | ||||
\(222\) | −15.6687 | + | 5.23686i | −1.05161 | + | 0.351475i | ||||
\(223\) | 12.8486 | + | 14.8281i | 0.860409 | + | 0.992965i | 0.999996 | + | 0.00275528i | \(0.000877034\pi\) |
−0.139587 | + | 0.990210i | \(0.544578\pi\) | |||||||
\(224\) | 0.504879 | + | 1.10553i | 0.0337336 | + | 0.0738664i | ||||
\(225\) | 2.39711 | − | 1.80385i | 0.159807 | − | 0.120257i | ||||
\(226\) | 13.0787 | + | 5.97286i | 0.869985 | + | 0.397309i | ||||
\(227\) | −0.618974 | + | 4.30506i | −0.0410828 | + | 0.285737i | 0.958915 | + | 0.283693i | \(0.0915597\pi\) |
−0.999998 | + | 0.00204388i | \(0.999349\pi\) | |||||||
\(228\) | −7.44514 | + | 6.94912i | −0.493067 | + | 0.460217i | ||||
\(229\) | 3.54266i | 0.234105i | 0.993126 | + | 0.117053i | \(0.0373446\pi\) | ||||
−0.993126 | + | 0.117053i | \(0.962655\pi\) | |||||||
\(230\) | 4.57528 | + | 1.43764i | 0.301685 | + | 0.0947955i | ||||
\(231\) | 9.35082 | − | 1.69918i | 0.615239 | − | 0.111798i | ||||
\(232\) | −5.94135 | + | 3.81828i | −0.390069 | + | 0.250682i | ||||
\(233\) | −15.9742 | − | 2.29675i | −1.04651 | − | 0.150465i | −0.402450 | − | 0.915442i | \(-0.631841\pi\) |
−0.644057 | + | 0.764977i | \(0.722750\pi\) | |||||||
\(234\) | −2.47391 | − | 0.170703i | −0.161724 | − | 0.0111592i | ||||
\(235\) | −2.84794 | − | 9.69919i | −0.185779 | − | 0.632705i | ||||
\(236\) | −12.2679 | + | 5.60256i | −0.798572 | + | 0.364696i | ||||
\(237\) | 14.7462 | + | 11.8527i | 0.957866 | + | 0.769918i | ||||
\(238\) | −0.979945 | − | 6.81566i | −0.0635204 | − | 0.441794i | ||||
\(239\) | 3.19474 | − | 10.8803i | 0.206651 | − | 0.703788i | −0.789310 | − | 0.613995i | \(-0.789561\pi\) |
0.995960 | − | 0.0897928i | \(-0.0286205\pi\) | |||||||
\(240\) | −1.49070 | − | 0.881945i | −0.0962240 | − | 0.0569293i | ||||
\(241\) | 4.24250 | − | 6.60147i | 0.273284 | − | 0.425238i | −0.677300 | − | 0.735707i | \(-0.736850\pi\) |
0.950583 | + | 0.310470i | \(0.100486\pi\) | |||||||
\(242\) | 5.07305 | − | 7.89382i | 0.326108 | − | 0.507434i | ||||
\(243\) | −15.3231 | + | 2.86390i | −0.982979 | + | 0.183719i | ||||
\(244\) | 3.27955 | − | 11.1691i | 0.209952 | − | 0.715030i | ||||
\(245\) | −0.785990 | − | 5.46668i | −0.0502151 | − | 0.349254i | ||||
\(246\) | 2.59785 | − | 3.23202i | 0.165633 | − | 0.206066i | ||||
\(247\) | −4.42111 | + | 2.01905i | −0.281308 | + | 0.128469i | ||||
\(248\) | 1.60315 | + | 5.45983i | 0.101800 | + | 0.346700i | ||||
\(249\) | 8.66554 | + | 2.20018i | 0.549156 | + | 0.139431i | ||||
\(250\) | 0.989821 | + | 0.142315i | 0.0626018 | + | 0.00900078i | ||||
\(251\) | 22.5645 | − | 14.5013i | 1.42426 | − | 0.915316i | 0.424307 | − | 0.905518i | \(-0.360518\pi\) |
0.999952 | − | 0.00979751i | \(-0.00311869\pi\) | |||||||
\(252\) | 1.28274 | + | 3.41299i | 0.0808049 | + | 0.214998i | ||||
\(253\) | −21.3699 | − | 3.48489i | −1.34352 | − | 0.219093i | ||||
\(254\) | 7.79748i | 0.489258i | ||||||||
\(255\) | 6.69583 | + | 7.17377i | 0.419309 | + | 0.449239i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 17.5364 | + | 8.00861i | 1.09389 | + | 0.499563i | 0.878878 | − | 0.477048i | \(-0.158293\pi\) |
0.215014 | + | 0.976611i | \(0.431020\pi\) | |||||||
\(258\) | −0.861499 | − | 1.71568i | −0.0536346 | − | 0.106813i | ||||
\(259\) | 4.81563 | + | 10.5448i | 0.299229 | + | 0.655220i | ||||
\(260\) | −0.541306 | − | 0.624700i | −0.0335704 | − | 0.0387423i | ||||
\(261\) | −18.5703 | + | 10.2007i | −1.14947 | + | 0.631407i | ||||
\(262\) | 7.52756 | + | 2.21029i | 0.465054 | + | 0.136552i | ||||
\(263\) | 6.40556 | − | 7.39241i | 0.394984 | − | 0.455836i | −0.523071 | − | 0.852289i | \(-0.675214\pi\) |
0.918055 | + | 0.396453i | \(0.129759\pi\) | |||||||
\(264\) | 7.22836 | + | 2.98347i | 0.444875 | + | 0.183620i | ||||
\(265\) | −5.31584 | − | 3.41628i | −0.326549 | − | 0.209860i | ||||
\(266\) | 5.40076 | + | 4.67978i | 0.331142 | + | 0.286936i | ||||
\(267\) | 3.43296 | − | 32.3123i | 0.210094 | − | 1.97748i | ||||
\(268\) | −6.21383 | + | 0.893414i | −0.379570 | + | 0.0545739i | ||||
\(269\) | 5.20011 | − | 4.50592i | 0.317057 | − | 0.274731i | −0.481763 | − | 0.876301i | \(-0.660003\pi\) |
0.798820 | + | 0.601570i | \(0.205458\pi\) | |||||||
\(270\) | −4.27934 | − | 2.94741i | −0.260433 | − | 0.179374i | ||||
\(271\) | −18.0293 | + | 5.29387i | −1.09520 | + | 0.321580i | −0.778944 | − | 0.627094i | \(-0.784244\pi\) |
−0.316257 | + | 0.948674i | \(0.602426\pi\) | |||||||
\(272\) | 2.35358 | − | 5.15361i | 0.142707 | − | 0.312484i | ||||
\(273\) | 0.0642864 | + | 1.73885i | 0.00389079 | + | 0.105240i | ||||
\(274\) | −2.79949 | − | 4.35610i | −0.169124 | − | 0.263162i | ||||
\(275\) | −4.51480 | −0.272253 | ||||||||
\(276\) | −0.150357 | − | 8.30526i | −0.00905043 | − | 0.499918i | ||||
\(277\) | 7.95458 | 0.477944 | 0.238972 | − | 0.971026i | \(-0.423190\pi\) | ||||
0.238972 | + | 0.971026i | \(0.423190\pi\) | |||||||
\(278\) | −2.21590 | − | 3.44800i | −0.132901 | − | 0.206797i | ||||
\(279\) | 3.67052 | + | 16.6717i | 0.219748 | + | 0.998109i | ||||
\(280\) | −0.504879 | + | 1.10553i | −0.0301723 | + | 0.0660681i | ||||
\(281\) | −26.1373 | + | 7.67461i | −1.55922 | + | 0.457829i | −0.943841 | − | 0.330400i | \(-0.892816\pi\) |
−0.615382 | + | 0.788229i | \(0.710998\pi\) | |||||||
\(282\) | −14.3695 | + | 10.0036i | −0.855691 | + | 0.595708i | ||||
\(283\) | −4.81602 | + | 4.17311i | −0.286283 | + | 0.248066i | −0.786149 | − | 0.618037i | \(-0.787928\pi\) |
0.499866 | + | 0.866103i | \(0.333383\pi\) | |||||||
\(284\) | 10.6022 | − | 1.52437i | 0.629127 | − | 0.0904548i | ||||
\(285\) | −10.1273 | − | 1.07596i | −0.599891 | − | 0.0637342i | ||||
\(286\) | 2.82040 | + | 2.44389i | 0.166774 | + | 0.144510i | ||||
\(287\) | −2.44777 | − | 1.57308i | −0.144487 | − | 0.0928562i | ||||
\(288\) | −0.630343 | + | 2.93303i | −0.0371433 | + | 0.172830i | ||||
\(289\) | −9.88779 | + | 11.4111i | −0.581635 | + | 0.671242i | ||||
\(290\) | −6.77642 | − | 1.98974i | −0.397925 | − | 0.116841i | ||||
\(291\) | 5.17679 | + | 15.4889i | 0.303469 | + | 0.907977i | ||||
\(292\) | 6.14091 | + | 7.08699i | 0.359370 | + | 0.414735i | ||||
\(293\) | 2.93117 | + | 6.41837i | 0.171241 | + | 0.374965i | 0.975722 | − | 0.219013i | \(-0.0702837\pi\) |
−0.804481 | + | 0.593978i | \(0.797556\pi\) | |||||||
\(294\) | −8.54873 | + | 4.29260i | −0.498572 | + | 0.250350i | ||||
\(295\) | −12.2679 | − | 5.60256i | −0.714265 | − | 0.326194i | ||||
\(296\) | −1.35743 | + | 9.44111i | −0.0788988 | + | 0.548753i | ||||
\(297\) | 21.0175 | + | 10.4219i | 1.21956 | + | 0.604742i | ||||
\(298\) | − | 4.96416i | − | 0.287566i | ||||||
\(299\) | 1.18835 | − | 3.78191i | 0.0687242 | − | 0.218714i | ||||
\(300\) | −0.309668 | − | 1.70414i | −0.0178787 | − | 0.0983888i | ||||
\(301\) | −1.13327 | + | 0.728308i | −0.0653206 | + | 0.0419790i | ||||
\(302\) | 4.39282 | + | 0.631593i | 0.252779 | + | 0.0363441i | ||||
\(303\) | −1.08988 | + | 4.29257i | −0.0626121 | + | 0.246602i | ||||
\(304\) | 1.65656 | + | 5.64174i | 0.0950105 | + | 0.323576i | ||||
\(305\) | 10.5887 | − | 4.83570i | 0.606308 | − | 0.276891i | ||||
\(306\) | 8.10827 | − | 14.9381i | 0.463519 | − | 0.853956i | ||||
\(307\) | 2.93857 | + | 20.4382i | 0.167713 | + | 1.16647i | 0.883596 | + | 0.468249i | \(0.155115\pi\) |
−0.715884 | + | 0.698220i | \(0.753976\pi\) | |||||||
\(308\) | 1.54590 | − | 5.26484i | 0.0880857 | − | 0.299992i | ||||
\(309\) | 4.78175 | − | 8.08229i | 0.272024 | − | 0.459785i | ||||
\(310\) | −3.07642 | + | 4.78701i | −0.174729 | + | 0.271884i | ||||
\(311\) | 5.55004 | − | 8.63602i | 0.314714 | − | 0.489704i | −0.647475 | − | 0.762086i | \(-0.724175\pi\) |
0.962189 | + | 0.272382i | \(0.0878115\pi\) | |||||||
\(312\) | −0.729013 | + | 1.23220i | −0.0412723 | + | 0.0697598i | ||||
\(313\) | 4.79668 | − | 16.3360i | 0.271124 | − | 0.923365i | −0.705554 | − | 0.708656i | \(-0.749302\pi\) |
0.976678 | − | 0.214708i | \(-0.0688801\pi\) | |||||||
\(314\) | 1.09861 | + | 7.64099i | 0.0619981 | + | 0.431206i | ||||
\(315\) | −1.73935 | + | 3.20446i | −0.0980013 | + | 0.180551i | ||||
\(316\) | 9.93592 | − | 4.53758i | 0.558939 | − | 0.255259i | ||||
\(317\) | 1.15062 | + | 3.91864i | 0.0646251 | + | 0.220093i | 0.985474 | − | 0.169827i | \(-0.0543209\pi\) |
−0.920849 | + | 0.389920i | \(0.872503\pi\) | |||||||
\(318\) | −2.69341 | + | 10.6081i | −0.151039 | + | 0.594875i | ||||
\(319\) | 31.5612 | + | 4.53782i | 1.76709 | + | 0.254069i | ||||
\(320\) | −0.841254 | + | 0.540641i | −0.0470275 | + | 0.0302227i | ||||
\(321\) | −0.163412 | − | 0.899279i | −0.00912078 | − | 0.0501928i | ||||
\(322\) | −5.78395 | + | 0.720602i | −0.322327 | + | 0.0401576i | ||||
\(323\) | − | 33.3133i | − | 1.85360i | ||||||
\(324\) | −2.49225 | + | 8.64804i | −0.138458 | + | 0.480447i | ||||
\(325\) | 0.117637 | − | 0.818184i | 0.00652533 | − | 0.0453847i | ||||
\(326\) | −9.87638 | − | 4.51039i | −0.547002 | − | 0.249808i | ||||
\(327\) | −3.79051 | + | 1.90334i | −0.209616 | + | 0.105255i | ||||
\(328\) | −0.994535 | − | 2.17773i | −0.0549140 | − | 0.120245i | ||||
\(329\) | 8.04540 | + | 9.28489i | 0.443557 | + | 0.511893i | ||||
\(330\) | 2.47881 | + | 7.41658i | 0.136454 | + | 0.408270i | ||||
\(331\) | 16.0827 | + | 4.72230i | 0.883984 | + | 0.259561i | 0.692052 | − | 0.721847i | \(-0.256707\pi\) |
0.191931 | + | 0.981408i | \(0.438525\pi\) | |||||||
\(332\) | 3.38026 | − | 3.90102i | 0.185516 | − | 0.214096i | ||||
\(333\) | −6.01233 | + | 27.9758i | −0.329474 | + | 1.53307i | ||||
\(334\) | 7.43573 | + | 4.77865i | 0.406865 | + | 0.261476i | ||||
\(335\) | −4.74439 | − | 4.11104i | −0.259214 | − | 0.224610i | ||||
\(336\) | 2.09329 | + | 0.222397i | 0.114198 | + | 0.0121327i | ||||
\(337\) | 22.0624 | − | 3.17209i | 1.20181 | − | 0.172795i | 0.487818 | − | 0.872945i | \(-0.337793\pi\) |
0.713995 | + | 0.700151i | \(0.246884\pi\) | |||||||
\(338\) | 9.30837 | − | 8.06575i | 0.506309 | − | 0.438719i | ||||
\(339\) | 20.4384 | − | 14.2287i | 1.11006 | − | 0.772796i | ||||
\(340\) | 5.43611 | − | 1.59619i | 0.294814 | − | 0.0865653i | ||||
\(341\) | 10.6723 | − | 23.3691i | 0.577937 | − | 1.26551i | ||||
\(342\) | 3.79281 | + | 17.2272i | 0.205092 | + | 0.931539i | ||||
\(343\) | 8.22847 | + | 12.8037i | 0.444295 | + | 0.691337i | ||||
\(344\) | −1.10841 | −0.0597616 | ||||||||
\(345\) | 6.17824 | − | 5.55242i | 0.332625 | − | 0.298932i | ||||
\(346\) | −9.83236 | −0.528591 | ||||||||
\(347\) | −11.4610 | − | 17.8337i | −0.615261 | − | 0.957364i | −0.999419 | − | 0.0340970i | \(-0.989144\pi\) |
0.384158 | − | 0.923267i | \(-0.374492\pi\) | |||||||
\(348\) | 0.451938 | + | 12.2243i | 0.0242264 | + | 0.655289i | ||||
\(349\) | −8.89410 | + | 19.4754i | −0.476090 | + | 1.04249i | 0.507430 | + | 0.861693i | \(0.330596\pi\) |
−0.983520 | + | 0.180799i | \(0.942132\pi\) | |||||||
\(350\) | −1.16613 | + | 0.342407i | −0.0623323 | + | 0.0183024i | ||||
\(351\) | −2.43632 | + | 3.53729i | −0.130041 | + | 0.188807i | ||||
\(352\) | 3.41206 | − | 2.95656i | 0.181863 | − | 0.157585i | ||||
\(353\) | 7.32358 | − | 1.05297i | 0.389795 | − | 0.0560441i | 0.0553688 | − | 0.998466i | \(-0.482367\pi\) |
0.334426 | + | 0.942422i | \(0.391457\pi\) | |||||||
\(354\) | −2.46790 | + | 23.2289i | −0.131168 | + | 1.23460i | ||||
\(355\) | 8.09503 | + | 7.01439i | 0.429640 | + | 0.372285i | ||||
\(356\) | −15.7824 | − | 10.1427i | −0.836463 | − | 0.537562i | ||||
\(357\) | −11.0243 | − | 4.55024i | −0.583470 | − | 0.240824i | ||||
\(358\) | −17.2022 | + | 19.8524i | −0.909165 | + | 1.04923i | ||||
\(359\) | −27.6335 | − | 8.11392i | −1.45844 | − | 0.428236i | −0.546116 | − | 0.837709i | \(-0.683894\pi\) |
−0.912322 | + | 0.409473i | \(0.865712\pi\) | |||||||
\(360\) | −2.62942 | + | 1.44435i | −0.138583 | + | 0.0761237i | ||||
\(361\) | 10.1984 | + | 11.7696i | 0.536760 | + | 0.619454i | ||||
\(362\) | −7.51412 | − | 16.4536i | −0.394933 | − | 0.864783i | ||||
\(363\) | −7.29313 | − | 14.5243i | −0.382790 | − | 0.762328i | ||||
\(364\) | 0.913829 | + | 0.417332i | 0.0478976 | + | 0.0218741i | ||||
\(365\) | −1.33455 | + | 9.28198i | −0.0698534 | + | 0.485841i | ||||
\(366\) | −13.7574 | − | 14.7394i | −0.719110 | − | 0.770439i | ||||
\(367\) | 7.95265i | 0.415125i | 0.978222 | + | 0.207563i | \(0.0665531\pi\) | ||||
−0.978222 | + | 0.207563i | \(0.933447\pi\) | |||||||
\(368\) | −4.32411 | − | 2.07414i | −0.225410 | − | 0.108122i | ||||
\(369\) | −2.52680 | − | 6.72307i | −0.131540 | − | 0.349989i | ||||
\(370\) | −8.02404 | + | 5.15674i | −0.417150 | + | 0.268086i | ||||
\(371\) | 7.60163 | + | 1.09295i | 0.394657 | + | 0.0567431i | ||||
\(372\) | 9.55284 | + | 2.42546i | 0.495292 | + | 0.125754i | ||||
\(373\) | −9.46379 | − | 32.2307i | −0.490017 | − | 1.66884i | −0.718683 | − | 0.695338i | \(-0.755255\pi\) |
0.228666 | − | 0.973505i | \(-0.426564\pi\) | |||||||
\(374\) | −23.2675 | + | 10.6259i | −1.20314 | + | 0.549454i | ||||
\(375\) | 1.08512 | − | 1.35001i | 0.0560352 | − | 0.0697141i | ||||
\(376\) | 1.43861 | + | 10.0058i | 0.0741908 | + | 0.516008i | ||||
\(377\) | −1.64471 | + | 5.60137i | −0.0847069 | + | 0.288485i | ||||
\(378\) | 6.21903 | + | 1.09790i | 0.319872 | + | 0.0564698i | ||||
\(379\) | −17.7025 | + | 27.5457i | −0.909318 | + | 1.41493i | 0.000536717 | 1.00000i | \(0.499829\pi\) | |
−0.909855 | + | 0.414927i | \(0.863807\pi\) | |||||||
\(380\) | −3.17892 | + | 4.94650i | −0.163075 | + | 0.253750i | ||||
\(381\) | 11.6237 | + | 6.87695i | 0.595499 | + | 0.352317i | ||||
\(382\) | −4.48076 | + | 15.2601i | −0.229256 | + | 0.780774i | ||||
\(383\) | 1.04226 | + | 7.24908i | 0.0532570 | + | 0.370411i | 0.998969 | + | 0.0454039i | \(0.0144575\pi\) |
−0.945712 | + | 0.325007i | \(0.894633\pi\) | |||||||
\(384\) | 1.35001 | + | 1.08512i | 0.0688923 | + | 0.0553746i | ||||
\(385\) | 4.99125 | − | 2.27943i | 0.254378 | − | 0.116170i | ||||
\(386\) | 3.98640 | + | 13.5764i | 0.202902 | + | 0.691022i | ||||
\(387\) | −3.31735 | − | 0.228902i | −0.168630 | − | 0.0116357i | ||||
\(388\) | 9.33282 | + | 1.34186i | 0.473802 | + | 0.0681225i | ||||
\(389\) | 17.8160 | − | 11.4496i | 0.903307 | − | 0.580520i | −0.00446260 | − | 0.999990i | \(-0.501420\pi\) |
0.907769 | + | 0.419470i | \(0.137784\pi\) | |||||||
\(390\) | −1.40864 | + | 0.255971i | −0.0713293 | + | 0.0129616i | ||||
\(391\) | 20.1956 | + | 18.1773i | 1.02134 | + | 0.919268i | ||||
\(392\) | 5.52290i | 0.278949i | ||||||||
\(393\) | 9.93376 | − | 9.27194i | 0.501092 | − | 0.467708i | ||||
\(394\) | 3.80657 | − | 26.4753i | 0.191772 | − | 1.33381i | ||||
\(395\) | 9.93592 | + | 4.53758i | 0.499930 | + | 0.228311i | ||||
\(396\) | 10.8225 | − | 8.14402i | 0.543849 | − | 0.409252i | ||||
\(397\) | 4.88973 | + | 10.7070i | 0.245409 | + | 0.537370i | 0.991749 | − | 0.128195i | \(-0.0409182\pi\) |
−0.746340 | + | 0.665564i | \(0.768191\pi\) | |||||||
\(398\) | 1.51584 | + | 1.74938i | 0.0759824 | + | 0.0876884i | ||||
\(399\) | 11.7393 | − | 3.92357i | 0.587700 | − | 0.196424i | ||||
\(400\) | −0.959493 | − | 0.281733i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | −15.2324 | + | 17.5791i | −0.760670 | + | 0.877860i | −0.995557 | − | 0.0941628i | \(-0.969983\pi\) |
0.234887 | + | 0.972023i | \(0.424528\pi\) | |||||||
\(402\) | −4.14845 | + | 10.0509i | −0.206906 | + | 0.501292i | ||||
\(403\) | 3.95693 | + | 2.54296i | 0.197109 | + | 0.126674i | ||||
\(404\) | 1.93241 | + | 1.67445i | 0.0961412 | + | 0.0833068i | ||||
\(405\) | −8.16783 | + | 3.77975i | −0.405863 | + | 0.187817i | ||||
\(406\) | 8.49612 | − | 1.22156i | 0.421655 | − | 0.0606249i | ||||
\(407\) | 32.5449 | − | 28.2003i | 1.61319 | − | 1.39784i | ||||
\(408\) | −5.60674 | − | 8.05367i | −0.277575 | − | 0.398716i | ||||
\(409\) | −23.7035 | + | 6.95998i | −1.17206 | + | 0.344149i | −0.809110 | − | 0.587658i | \(-0.800050\pi\) |
−0.362954 | + | 0.931807i | \(0.618232\pi\) | |||||||
\(410\) | 0.994535 | − | 2.17773i | 0.0491166 | − | 0.107550i | ||||
\(411\) | −8.96262 | + | 0.331353i | −0.442093 | + | 0.0163444i | ||||
\(412\) | −2.93126 | − | 4.56113i | −0.144413 | − | 0.224711i | ||||
\(413\) | 16.3912 | 0.806556 | ||||||||
\(414\) | −12.5132 | − | 7.10065i | −0.614991 | − | 0.348978i | ||||
\(415\) | 5.16179 | 0.253382 | ||||||||
\(416\) | 0.446892 | + | 0.695378i | 0.0219107 | + | 0.0340937i | ||||
\(417\) | −7.09422 | + | 0.262277i | −0.347405 | + | 0.0128438i | ||||
\(418\) | 11.0279 | − | 24.1477i | 0.539391 | − | 1.18110i | ||||
\(419\) | −26.3646 | + | 7.74134i | −1.28799 | + | 0.378189i | −0.852842 | − | 0.522168i | \(-0.825123\pi\) |
−0.435151 | + | 0.900357i | \(0.643305\pi\) | |||||||
\(420\) | 1.20273 | + | 1.72764i | 0.0586874 | + | 0.0843001i | ||||
\(421\) | −7.88516 | + | 6.83253i | −0.384299 | + | 0.332997i | −0.825491 | − | 0.564416i | \(-0.809101\pi\) |
0.441191 | + | 0.897413i | \(0.354556\pi\) | |||||||
\(422\) | −0.929152 | + | 0.133592i | −0.0452304 | + | 0.00650315i | ||||
\(423\) | 2.23928 | + | 30.2432i | 0.108877 | + | 1.47047i | ||||
\(424\) | 4.77554 | + | 4.13803i | 0.231921 | + | 0.200960i | ||||
\(425\) | 4.76621 | + | 3.06306i | 0.231195 | + | 0.148580i | ||||
\(426\) | 7.07822 | − | 17.1491i | 0.342941 | − | 0.830878i | ||||
\(427\) | −9.26470 | + | 10.6920i | −0.448350 | + | 0.517424i | ||||
\(428\) | −0.506326 | − | 0.148671i | −0.0244742 | − | 0.00718627i | ||||
\(429\) | 6.13053 | − | 2.04898i | 0.295985 | − | 0.0989255i | ||||
\(430\) | −0.725856 | − | 0.837682i | −0.0350039 | − | 0.0403966i | ||||
\(431\) | 8.67898 | + | 19.0043i | 0.418052 | + | 0.915406i | 0.995116 | + | 0.0987075i | \(0.0314708\pi\) |
−0.577065 | + | 0.816699i | \(0.695802\pi\) | |||||||
\(432\) | 3.81633 | + | 3.52642i | 0.183613 | + | 0.169665i | ||||
\(433\) | −20.6247 | − | 9.41898i | −0.991159 | − | 0.452647i | −0.147230 | − | 0.989102i | \(-0.547036\pi\) |
−0.843929 | + | 0.536455i | \(0.819763\pi\) | |||||||
\(434\) | 0.984221 | − | 6.84541i | 0.0472441 | − | 0.328590i | ||||
\(435\) | −8.94252 | + | 8.34674i | −0.428761 | + | 0.400195i | ||||
\(436\) | 2.44885i | 0.117279i | ||||||||
\(437\) | −28.1941 | − | 0.531575i | −1.34871 | − | 0.0254287i | ||||
\(438\) | 15.9805 | − | 2.90389i | 0.763577 | − | 0.138753i | ||||
\(439\) | −10.2276 | + | 6.57288i | −0.488137 | + | 0.313707i | −0.761456 | − | 0.648217i | \(-0.775515\pi\) |
0.273319 | + | 0.961924i | \(0.411879\pi\) | |||||||
\(440\) | 4.46884 | + | 0.642523i | 0.213044 | + | 0.0306311i | ||||
\(441\) | −1.14055 | + | 16.5294i | −0.0543119 | + | 0.787114i | ||||
\(442\) | −1.31940 | − | 4.49347i | −0.0627576 | − | 0.213733i | ||||
\(443\) | −33.2316 | + | 15.1764i | −1.57888 | + | 0.721050i | −0.995816 | − | 0.0913761i | \(-0.970873\pi\) |
−0.583064 | + | 0.812426i | \(0.698146\pi\) | |||||||
\(444\) | 12.8766 | + | 10.3501i | 0.611098 | + | 0.491192i | ||||
\(445\) | −2.66990 | − | 18.5696i | −0.126565 | − | 0.880282i | ||||
\(446\) | 5.52771 | − | 18.8257i | 0.261745 | − | 0.891421i | ||||
\(447\) | −7.40005 | − | 4.37812i | −0.350010 | − | 0.207078i | ||||
\(448\) | 0.657074 | − | 1.02243i | 0.0310438 | − | 0.0483051i | ||||
\(449\) | 12.8166 | − | 19.9430i | 0.604851 | − | 0.941167i | −0.394897 | − | 0.918725i | \(-0.629220\pi\) |
0.999748 | − | 0.0224414i | \(-0.00714392\pi\) | |||||||
\(450\) | −2.81347 | − | 1.04134i | −0.132628 | − | 0.0490893i | ||||
\(451\) | −3.04518 | + | 10.3709i | −0.143392 | + | 0.488348i | ||||
\(452\) | −2.04621 | − | 14.2317i | −0.0962456 | − | 0.669403i | ||||
\(453\) | 4.81574 | − | 5.99133i | 0.226263 | − | 0.281497i | ||||
\(454\) | 3.95629 | − | 1.80678i | 0.185678 | − | 0.0847963i | ||||
\(455\) | 0.283032 | + | 0.963920i | 0.0132688 | + | 0.0451892i | ||||
\(456\) | 9.87112 | + | 2.50627i | 0.462257 | + | 0.117367i | ||||
\(457\) | −18.5992 | − | 2.67415i | −0.870032 | − | 0.125092i | −0.307182 | − | 0.951651i | \(-0.599386\pi\) |
−0.562850 | + | 0.826559i | \(0.690295\pi\) | |||||||
\(458\) | 2.98027 | − | 1.91531i | 0.139259 | − | 0.0894963i | ||||
\(459\) | −15.1171 | − | 25.2616i | −0.705608 | − | 1.17911i | ||||
\(460\) | −1.26416 | − | 4.62622i | −0.0589417 | − | 0.215699i | ||||
\(461\) | − | 31.8379i | − | 1.48284i | −0.671043 | − | 0.741418i | \(-0.734153\pi\) | ||
0.671043 | − | 0.741418i | \(-0.265847\pi\) | |||||||
\(462\) | −6.48488 | − | 6.94776i | −0.301704 | − | 0.323239i | ||||
\(463\) | −3.75393 | + | 26.1092i | −0.174460 | + | 1.21340i | 0.694860 | + | 0.719145i | \(0.255466\pi\) |
−0.869320 | + | 0.494250i | \(0.835443\pi\) | |||||||
\(464\) | 6.42428 | + | 2.93387i | 0.298239 | + | 0.136201i | ||||
\(465\) | 4.42274 | + | 8.80789i | 0.205099 | + | 0.408456i | ||||
\(466\) | 6.70418 | + | 14.6801i | 0.310565 | + | 0.680043i | ||||
\(467\) | −8.91992 | − | 10.2941i | −0.412765 | − | 0.476356i | 0.510855 | − | 0.859667i | \(-0.329329\pi\) |
−0.923619 | + | 0.383311i | \(0.874784\pi\) | |||||||
\(468\) | 1.19389 | + | 2.17347i | 0.0551877 | + | 0.100469i | ||||
\(469\) | 7.32065 | + | 2.14954i | 0.338036 | + | 0.0992563i | ||||
\(470\) | −6.61977 | + | 7.63962i | −0.305347 | + | 0.352389i | ||||
\(471\) | 12.3593 | + | 5.10124i | 0.569487 | + | 0.235053i | ||||
\(472\) | 11.3457 | + | 7.29144i | 0.522228 | + | 0.335616i | ||||
\(473\) | 3.78197 | + | 3.27709i | 0.173895 | + | 0.150681i | ||||
\(474\) | 1.99878 | − | 18.8133i | 0.0918072 | − | 0.864125i | ||||
\(475\) | −5.82007 | + | 0.836800i | −0.267043 | + | 0.0383950i | ||||
\(476\) | −5.20390 | + | 4.50921i | −0.238521 | + | 0.206679i | ||||
\(477\) | 13.4381 | + | 13.3709i | 0.615287 | + | 0.612209i | ||||
\(478\) | −10.8803 | + | 3.19474i | −0.497653 | + | 0.146124i | ||||
\(479\) | 0.334010 | − | 0.731380i | 0.0152613 | − | 0.0334176i | −0.901848 | − | 0.432054i | \(-0.857789\pi\) |
0.917109 | + | 0.398636i | \(0.130516\pi\) | |||||||
\(480\) | 0.0639912 | + | 1.73087i | 0.00292078 | + | 0.0790030i | ||||
\(481\) | 4.26254 | + | 6.63265i | 0.194355 | + | 0.302423i | ||||
\(482\) | −7.84718 | −0.357429 | ||||||||
\(483\) | −4.02693 | + | 9.25764i | −0.183232 | + | 0.421237i | ||||
\(484\) | −9.38341 | −0.426518 | ||||||||
\(485\) | 5.09759 | + | 7.93200i | 0.231470 | + | 0.360174i | ||||
\(486\) | 10.6936 | + | 11.3423i | 0.485070 | + | 0.514497i | ||||
\(487\) | 6.33462 | − | 13.8709i | 0.287049 | − | 0.628550i | −0.710092 | − | 0.704109i | \(-0.751347\pi\) |
0.997141 | + | 0.0755587i | \(0.0240740\pi\) | |||||||
\(488\) | −11.1691 | + | 3.27955i | −0.505602 | + | 0.148458i | ||||
\(489\) | −15.4340 | + | 10.7448i | −0.697952 | + | 0.485895i | ||||
\(490\) | −4.17393 | + | 3.61673i | −0.188559 | + | 0.163387i | ||||
\(491\) | −30.6673 | + | 4.40929i | −1.38399 | + | 0.198988i | −0.793754 | − | 0.608239i | \(-0.791876\pi\) |
−0.590240 | + | 0.807228i | \(0.700967\pi\) | |||||||
\(492\) | −4.12345 | − | 0.438088i | −0.185900 | − | 0.0197505i | ||||
\(493\) | −30.2401 | − | 26.2032i | −1.36194 | − | 1.18013i | ||||
\(494\) | 4.08877 | + | 2.62769i | 0.183962 | + | 0.118225i | ||||
\(495\) | 13.2420 | + | 2.84587i | 0.595186 | + | 0.127912i | ||||
\(496\) | 3.72637 | − | 4.30046i | 0.167319 | − | 0.193097i | ||||
\(497\) | −12.4907 | − | 3.66761i | −0.560286 | − | 0.164515i | ||||
\(498\) | −2.83404 | − | 8.47942i | −0.126996 | − | 0.379972i | ||||
\(499\) | −10.7267 | − | 12.3793i | −0.480194 | − | 0.554173i | 0.463025 | − | 0.886345i | \(-0.346764\pi\) |
−0.943219 | + | 0.332172i | \(0.892219\pi\) | |||||||
\(500\) | −0.415415 | − | 0.909632i | −0.0185779 | − | 0.0406800i | ||||
\(501\) | 13.6814 | − | 6.86990i | 0.611241 | − | 0.306924i | ||||
\(502\) | −24.3986 | − | 11.1425i | −1.08896 | − | 0.497312i | ||||
\(503\) | 0.634724 | − | 4.41460i | 0.0283009 | − | 0.196837i | −0.970766 | − | 0.240028i | \(-0.922843\pi\) |
0.999067 | + | 0.0431909i | \(0.0137524\pi\) | |||||||
\(504\) | 2.17769 | − | 2.92431i | 0.0970020 | − | 0.130259i | ||||
\(505\) | 2.55695i | 0.113783i | ||||||||
\(506\) | 8.62178 | + | 19.8616i | 0.383285 | + | 0.882956i | ||||
\(507\) | −3.81410 | − | 20.9895i | −0.169390 | − | 0.932176i | ||||
\(508\) | 6.55966 | − | 4.21564i | 0.291038 | − | 0.187039i | ||||
\(509\) | 8.96788 | + | 1.28939i | 0.397494 | + | 0.0571511i | 0.338164 | − | 0.941087i | \(-0.390194\pi\) |
0.0593308 | + | 0.998238i | \(0.481103\pi\) | |||||||
\(510\) | 2.41492 | − | 9.51133i | 0.106935 | − | 0.421169i | ||||
\(511\) | −3.21089 | − | 10.9353i | −0.142042 | − | 0.483749i | ||||
\(512\) | 0.909632 | − | 0.415415i | 0.0402004 | − | 0.0183589i | ||||
\(513\) | 29.0255 | + | 9.53950i | 1.28151 | + | 0.421179i | ||||
\(514\) | −2.74363 | − | 19.0824i | −0.121016 | − | 0.841686i | ||||
\(515\) | 1.52750 | − | 5.20220i | 0.0673099 | − | 0.229236i | ||||
\(516\) | −0.977559 | + | 1.65230i | −0.0430346 | + | 0.0727387i | ||||
\(517\) | 24.6741 | − | 38.3936i | 1.08516 | − | 1.68855i | ||||
\(518\) | 6.26730 | − | 9.75210i | 0.275369 | − | 0.428483i | ||||
\(519\) | −8.67161 | + | 14.6571i | −0.380641 | + | 0.643373i | ||||
\(520\) | −0.232879 | + | 0.793114i | −0.0102124 | + | 0.0347804i | ||||
\(521\) | −0.167605 | − | 1.16572i | −0.00734292 | − | 0.0510711i | 0.985821 | − | 0.167803i | \(-0.0536673\pi\) |
−0.993163 | + | 0.116732i | \(0.962758\pi\) | |||||||
\(522\) | 18.6212 | + | 10.1074i | 0.815029 | + | 0.442390i | ||||
\(523\) | −11.9592 | + | 5.46159i | −0.522940 | + | 0.238819i | −0.659353 | − | 0.751833i | \(-0.729170\pi\) |
0.136413 | + | 0.990652i | \(0.456443\pi\) | |||||||
\(524\) | −2.21029 | − | 7.52756i | −0.0965570 | − | 0.328843i | ||||
\(525\) | −0.518039 | + | 2.04033i | −0.0226091 | + | 0.0890472i | ||||
\(526\) | −9.68200 | − | 1.39206i | −0.422155 | − | 0.0606968i | ||||
\(527\) | −27.1213 | + | 17.4298i | −1.18142 | + | 0.759254i | ||||
\(528\) | −1.39809 | − | 7.69387i | −0.0608440 | − | 0.334833i | ||||
\(529\) | 15.7063 | − | 16.8021i | 0.682883 | − | 0.730528i | ||||
\(530\) | 6.31895i | 0.274477i | ||||||||
\(531\) | 32.4506 | + | 24.1655i | 1.40824 | + | 1.04869i | ||||
\(532\) | 1.01701 | − | 7.07348i | 0.0440931 | − | 0.306674i | ||||
\(533\) | −1.80010 | − | 0.822079i | −0.0779711 | − | 0.0356082i | ||||
\(534\) | −29.0389 | + | 14.5814i | −1.25663 | + | 0.630998i | ||||
\(535\) | −0.219215 | − | 0.480014i | −0.00947749 | − | 0.0207528i | ||||
\(536\) | 4.11104 | + | 4.74439i | 0.177570 | + | 0.204926i | ||||
\(537\) | 14.4225 | + | 43.1520i | 0.622376 | + | 1.86215i | ||||
\(538\) | −6.60202 | − | 1.93853i | −0.284633 | − | 0.0835759i | ||||
\(539\) | 16.3288 | − | 18.8444i | 0.703331 | − | 0.811688i | ||||
\(540\) | −0.165929 | + | 5.19350i | −0.00714044 | + | 0.223493i | ||||
\(541\) | −6.96297 | − | 4.47483i | −0.299361 | − | 0.192388i | 0.382334 | − | 0.924024i | \(-0.375121\pi\) |
−0.681695 | + | 0.731637i | \(0.738757\pi\) | |||||||
\(542\) | 14.2008 | + | 12.3051i | 0.609979 | + | 0.528550i | ||||
\(543\) | −31.1544 | − | 3.30993i | −1.33696 | − | 0.142043i | ||||
\(544\) | −5.60794 | + | 0.806300i | −0.240438 | + | 0.0345698i | ||||
\(545\) | −1.85072 | + | 1.60366i | −0.0792761 | + | 0.0686931i | ||||
\(546\) | 1.42806 | − | 0.994176i | 0.0611154 | − | 0.0425468i | ||||
\(547\) | 20.4811 | − | 6.01378i | 0.875707 | − | 0.257131i | 0.187166 | − | 0.982328i | \(-0.440070\pi\) |
0.688541 | + | 0.725198i | \(0.258252\pi\) | |||||||
\(548\) | −2.15106 | + | 4.71017i | −0.0918888 | + | 0.201208i | ||||
\(549\) | −34.1052 | + | 7.50874i | −1.45557 | + | 0.320465i | ||||
\(550\) | 2.44088 | + | 3.79809i | 0.104080 | + | 0.161951i | ||||
\(551\) | 41.5269 | 1.76911 | ||||||||
\(552\) | −6.90554 | + | 4.61665i | −0.293919 | + | 0.196498i | ||||
\(553\) | −13.2754 | −0.564527 | ||||||||
\(554\) | −4.30057 | − | 6.69182i | −0.182714 | − | 0.284308i | ||||
\(555\) | 0.610360 | + | 16.5094i | 0.0259084 | + | 0.700783i | ||||
\(556\) | −1.70264 | + | 3.72826i | −0.0722080 | + | 0.158113i | ||||
\(557\) | −34.9105 | + | 10.2507i | −1.47921 | + | 0.434334i | −0.919079 | − | 0.394072i | \(-0.871066\pi\) |
−0.560127 | + | 0.828407i | \(0.689248\pi\) | |||||||
\(558\) | 12.0407 | − | 12.1012i | 0.509724 | − | 0.512287i | ||||
\(559\) | −0.692425 | + | 0.599990i | −0.0292865 | + | 0.0253769i | ||||
\(560\) | 1.20299 | − | 0.172964i | 0.0508356 | − | 0.00730906i | ||||
\(561\) | −4.68067 | + | 44.0563i | −0.197618 | + | 1.86006i | ||||
\(562\) | 20.5872 | + | 17.8389i | 0.868419 | + | 0.752489i | ||||
\(563\) | 7.32923 | + | 4.71021i | 0.308890 | + | 0.198512i | 0.685897 | − | 0.727699i | \(-0.259410\pi\) |
−0.377006 | + | 0.926211i | \(0.623047\pi\) | |||||||
\(564\) | 16.1843 | + | 6.68001i | 0.681483 | + | 0.281279i | ||||
\(565\) | 9.41562 | − | 10.8662i | 0.396118 | − | 0.457145i | ||||
\(566\) | 6.11438 | + | 1.79534i | 0.257007 | + | 0.0754640i | ||||
\(567\) | 7.12148 | − | 8.30239i | 0.299074 | − | 0.348668i | ||||
\(568\) | −7.01439 | − | 8.09503i | −0.294317 | − | 0.339660i | ||||
\(569\) | −11.2547 | − | 24.6443i | −0.471821 | − | 1.03314i | −0.984632 | − | 0.174642i | \(-0.944123\pi\) |
0.512811 | − | 0.858501i | \(-0.328604\pi\) | |||||||
\(570\) | 4.57009 | + | 9.10135i | 0.191420 | + | 0.381214i | ||||
\(571\) | 18.0331 | + | 8.23544i | 0.754661 | + | 0.344642i | 0.755319 | − | 0.655357i | \(-0.227482\pi\) |
−0.000657473 | 1.00000i | \(0.500209\pi\) | ||||||||
\(572\) | 0.531107 | − | 3.69393i | 0.0222067 | − | 0.154451i | ||||
\(573\) | 18.7963 | + | 20.1380i | 0.785228 | + | 0.841277i | ||||
\(574\) | 2.90966i | 0.121447i | ||||||||
\(575\) | 2.66842 | − | 3.98492i | 0.111281 | − | 0.166183i | ||||
\(576\) | 2.80821 | − | 1.05544i | 0.117009 | − | 0.0439766i | ||||
\(577\) | −8.40219 | + | 5.39976i | −0.349788 | + | 0.224795i | −0.703722 | − | 0.710475i | \(-0.748480\pi\) |
0.353934 | + | 0.935270i | \(0.384844\pi\) | |||||||
\(578\) | 14.9454 | + | 2.14882i | 0.621646 | + | 0.0893792i | ||||
\(579\) | 23.7541 | + | 6.03116i | 0.987187 | + | 0.250646i | ||||
\(580\) | 1.98974 | + | 6.77642i | 0.0826193 | + | 0.281375i | ||||
\(581\) | −5.70652 | + | 2.60608i | −0.236746 | + | 0.108118i | ||||
\(582\) | 10.2313 | − | 12.7289i | 0.424102 | − | 0.527632i | ||||
\(583\) | −4.06007 | − | 28.2384i | −0.168151 | − | 1.16951i | ||||
\(584\) | 2.64193 | − | 8.99758i | 0.109324 | − | 0.372322i | ||||
\(585\) | −0.860769 | + | 2.32561i | −0.0355884 | + | 0.0961520i | ||||
\(586\) | 3.81477 | − | 5.93589i | 0.157587 | − | 0.245209i | ||||
\(587\) | −8.78766 | + | 13.6739i | −0.362706 | + | 0.564381i | −0.973865 | − | 0.227126i | \(-0.927067\pi\) |
0.611160 | + | 0.791507i | \(0.290703\pi\) | |||||||
\(588\) | 8.23296 | + | 4.87089i | 0.339522 | + | 0.200872i | ||||
\(589\) | 9.42640 | − | 32.1034i | 0.388408 | − | 1.32280i | ||||
\(590\) | 1.91935 | + | 13.3494i | 0.0790185 | + | 0.549586i | ||||
\(591\) | −36.1094 | − | 29.0242i | −1.48534 | − | 1.19390i | ||||
\(592\) | 8.67625 | − | 3.96231i | 0.356592 | − | 0.162850i | ||||
\(593\) | −9.85283 | − | 33.5556i | −0.404607 | − | 1.37797i | −0.870083 | − | 0.492905i | \(-0.835935\pi\) |
0.465476 | − | 0.885060i | \(-0.345883\pi\) | |||||||
\(594\) | −2.59543 | − | 23.3156i | −0.106492 | − | 0.956649i | ||||
\(595\) | −6.81566 | − | 0.979945i | −0.279415 | − | 0.0401738i | ||||
\(596\) | −4.17612 | + | 2.68383i | −0.171060 | + | 0.109934i | ||||
\(597\) | 3.94468 | − | 0.716807i | 0.161445 | − | 0.0293370i | ||||
\(598\) | −3.82402 | + | 1.04495i | −0.156376 | + | 0.0427312i | ||||
\(599\) | 19.8338i | 0.810387i | 0.914231 | + | 0.405194i | \(0.132796\pi\) | ||||
−0.914231 | + | 0.405194i | \(0.867204\pi\) | |||||||
\(600\) | −1.26620 | + | 1.18184i | −0.0516923 | + | 0.0482484i | ||||
\(601\) | 3.02790 | − | 21.0595i | 0.123510 | − | 0.859034i | −0.830019 | − | 0.557735i | \(-0.811671\pi\) |
0.953530 | − | 0.301299i | \(-0.0974203\pi\) | |||||||
\(602\) | 1.22538 | + | 0.559614i | 0.0499429 | + | 0.0228082i | ||||
\(603\) | 11.3241 | + | 15.0484i | 0.461152 | + | 0.612818i | ||||
\(604\) | −1.84361 | − | 4.03694i | −0.0750154 | − | 0.164261i | ||||
\(605\) | −6.14482 | − | 7.09150i | −0.249823 | − | 0.288311i | ||||
\(606\) | 4.20037 | − | 1.40387i | 0.170628 | − | 0.0570284i | ||||
\(607\) | 27.1785 | + | 7.98032i | 1.10314 | + | 0.323911i | 0.782099 | − | 0.623154i | \(-0.214149\pi\) |
0.321041 | + | 0.947065i | \(0.395967\pi\) | |||||||
\(608\) | 3.85053 | − | 4.44375i | 0.156160 | − | 0.180218i | ||||
\(609\) | 5.67214 | − | 13.7425i | 0.229847 | − | 0.556873i | ||||
\(610\) | −9.79274 | − | 6.29341i | −0.396496 | − | 0.254813i | ||||
\(611\) | 6.31489 | + | 5.47188i | 0.255473 | + | 0.221369i | ||||
\(612\) | −16.9504 | + | 1.25505i | −0.685180 | + | 0.0507323i | ||||
\(613\) | −10.1909 | + | 1.46523i | −0.411605 | + | 0.0591799i | −0.345007 | − | 0.938600i | \(-0.612124\pi\) |
−0.0665980 | + | 0.997780i | \(0.521214\pi\) | |||||||
\(614\) | 15.6050 | − | 13.5218i | 0.629766 | − | 0.545695i | ||||
\(615\) | −2.36920 | − | 3.40318i | −0.0955355 | − | 0.137230i | ||||
\(616\) | −5.26484 | + | 1.54590i | −0.212127 | + | 0.0622860i | ||||
\(617\) | 11.0026 | − | 24.0924i | 0.442948 | − | 0.969922i | −0.548099 | − | 0.836413i | \(-0.684648\pi\) |
0.991048 | − | 0.133509i | \(-0.0426244\pi\) | |||||||
\(618\) | −9.38446 | + | 0.346949i | −0.377498 | + | 0.0139563i | ||||
\(619\) | 13.6687 | + | 21.2689i | 0.549390 | + | 0.854868i | 0.999269 | − | 0.0382218i | \(-0.0121693\pi\) |
−0.449879 | + | 0.893089i | \(0.648533\pi\) | |||||||
\(620\) | 5.69033 | 0.228529 | ||||||||
\(621\) | −21.6209 | + | 12.3910i | −0.867616 | + | 0.497234i | ||||
\(622\) | −10.2657 | −0.411615 | ||||||||
\(623\) | 12.3270 | + | 19.1813i | 0.493873 | + | 0.768481i | ||||
\(624\) | 1.43073 | − | 0.0528949i | 0.0572751 | − | 0.00211749i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | −16.3360 | + | 4.79668i | −0.652918 | + | 0.191714i | ||||
\(627\) | −26.2709 | − | 37.7361i | −1.04916 | − | 1.50704i | ||||
\(628\) | 5.83406 | − | 5.05524i | 0.232804 | − | 0.201726i | ||||
\(629\) | −53.4896 | + | 7.69064i | −2.13277 | + | 0.306646i | ||||
\(630\) | 3.63613 | − | 0.269227i | 0.144867 | − | 0.0107263i | ||||
\(631\) | −15.2886 | − | 13.2477i | −0.608631 | − | 0.527382i | 0.295109 | − | 0.955464i | \(-0.404644\pi\) |
−0.903740 | + | 0.428082i | \(0.859190\pi\) | |||||||
\(632\) | −9.18902 | − | 5.90543i | −0.365520 | − | 0.234905i | ||||
\(633\) | −0.620316 | + | 1.50290i | −0.0246554 | + | 0.0597350i | ||||
\(634\) | 2.67450 | − | 3.08654i | 0.106218 | − | 0.122582i | ||||
\(635\) | 7.48163 | + | 2.19681i | 0.296899 | + | 0.0871775i | ||||
\(636\) | 10.3803 | − | 3.46936i | 0.411606 | − | 0.137569i | ||||
\(637\) | 2.98958 | + | 3.45016i | 0.118451 | + | 0.136700i | ||||
\(638\) | −13.2458 | − | 29.0043i | −0.524407 | − | 1.14829i | ||||
\(639\) | −19.3215 | − | 25.6761i | −0.764347 | − | 1.01573i | ||||
\(640\) | 0.909632 | + | 0.415415i | 0.0359564 | + | 0.0164207i | ||||
\(641\) | 4.53648 | − | 31.5519i | 0.179180 | − | 1.24622i | −0.679486 | − | 0.733689i | \(-0.737797\pi\) |
0.858666 | − | 0.512536i | \(-0.171294\pi\) | |||||||
\(642\) | −0.668174 | + | 0.623658i | −0.0263707 | + | 0.0246138i | ||||
\(643\) | 2.72511i | 0.107468i | 0.998555 | + | 0.0537339i | \(0.0171123\pi\) | ||||
−0.998555 | + | 0.0537339i | \(0.982888\pi\) | |||||||
\(644\) | 3.73325 | + | 4.47618i | 0.147111 | + | 0.176386i | ||||
\(645\) | −1.88889 | + | 0.343240i | −0.0743751 | + | 0.0135151i | ||||
\(646\) | −28.0249 | + | 18.0105i | −1.10263 | + | 0.708615i | ||||
\(647\) | −3.54478 | − | 0.509662i | −0.139360 | − | 0.0200369i | 0.0722820 | − | 0.997384i | \(-0.476972\pi\) |
−0.211642 | + | 0.977347i | \(0.567881\pi\) | |||||||
\(648\) | 8.62261 | − | 2.57887i | 0.338728 | − | 0.101308i | ||||
\(649\) | −17.1546 | − | 58.4231i | −0.673376 | − | 2.29331i | ||||
\(650\) | −0.751899 | + | 0.343381i | −0.0294919 | + | 0.0134685i | ||||
\(651\) | −9.33639 | − | 7.50445i | −0.365922 | − | 0.294123i | ||||
\(652\) | 1.54519 | + | 10.7470i | 0.0605144 | + | 0.420887i | ||||
\(653\) | −5.31800 | + | 18.1114i | −0.208109 | + | 0.708755i | 0.787597 | + | 0.616190i | \(0.211325\pi\) |
−0.995707 | + | 0.0925650i | \(0.970493\pi\) | |||||||
\(654\) | 3.65049 | + | 2.15975i | 0.142746 | + | 0.0844531i | ||||
\(655\) | 4.24152 | − | 6.59993i | 0.165730 | − | 0.257881i | ||||
\(656\) | −1.29433 | + | 2.01402i | −0.0505353 | + | 0.0786344i | ||||
\(657\) | 9.76510 | − | 26.3831i | 0.380973 | − | 1.02930i | ||||
\(658\) | 3.46127 | − | 11.7880i | 0.134934 | − | 0.459545i | ||||
\(659\) | 1.29883 | + | 9.03358i | 0.0505954 | + | 0.351899i | 0.999355 | + | 0.0359009i | \(0.0114301\pi\) |
−0.948760 | + | 0.315998i | \(0.897661\pi\) | |||||||
\(660\) | 4.89908 | − | 6.09502i | 0.190697 | − | 0.237248i | ||||
\(661\) | 12.9016 | − | 5.89198i | 0.501815 | − | 0.229171i | −0.148392 | − | 0.988929i | \(-0.547410\pi\) |
0.650207 | + | 0.759757i | \(0.274682\pi\) | |||||||
\(662\) | −4.72230 | − | 16.0827i | −0.183537 | − | 0.625071i | ||||
\(663\) | −7.86204 | − | 1.99617i | −0.305336 | − | 0.0775248i | ||||
\(664\) | −5.10925 | − | 0.734600i | −0.198277 | − | 0.0285080i | ||||
\(665\) | 6.01179 | − | 3.86354i | 0.233127 | − | 0.149822i | ||||
\(666\) | 26.7853 | − | 10.0670i | 1.03791 | − | 0.390087i | ||||
\(667\) | −22.6591 | + | 25.1750i | −0.877364 | + | 0.974780i | ||||
\(668\) | − | 8.83887i | − | 0.341986i | ||||||
\(669\) | −23.1882 | − | 24.8433i | −0.896507 | − | 0.960499i | ||||
\(670\) | −0.893414 | + | 6.21383i | −0.0345156 | + | 0.240061i | ||||
\(671\) | 47.8059 | + | 21.8322i | 1.84553 | + | 0.842823i | ||||
\(672\) | −0.944623 | − | 1.88122i | −0.0364396 | − | 0.0725697i | ||||
\(673\) | −6.95234 | − | 15.2235i | −0.267993 | − | 0.586823i | 0.727015 | − | 0.686622i | \(-0.240907\pi\) |
−0.995008 | + | 0.0997991i | \(0.968180\pi\) | |||||||
\(674\) | −14.5963 | − | 16.8451i | −0.562230 | − | 0.648848i | ||||
\(675\) | −4.03365 | + | 3.27562i | −0.155255 | + | 0.126079i | ||||
\(676\) | −11.8178 | − | 3.47003i | −0.454532 | − | 0.133463i | ||||
\(677\) | 13.9117 | − | 16.0549i | 0.534669 | − | 0.617040i | −0.422573 | − | 0.906329i | \(-0.638873\pi\) |
0.957242 | + | 0.289288i | \(0.0934186\pi\) | |||||||
\(678\) | −23.0198 | − | 9.50131i | −0.884069 | − | 0.364896i | ||||
\(679\) | −9.64024 | − | 6.19541i | −0.369959 | − | 0.237758i | ||||
\(680\) | −4.28178 | − | 3.71018i | −0.164199 | − | 0.142279i | ||||
\(681\) | 0.795877 | − | 7.49110i | 0.0304981 | − | 0.287060i | ||||
\(682\) | −25.4292 | + | 3.65617i | −0.973734 | + | 0.140002i | ||||
\(683\) | 2.18782 | − | 1.89576i | 0.0837146 | − | 0.0725391i | −0.611998 | − | 0.790859i | \(-0.709634\pi\) |
0.695713 | + | 0.718320i | \(0.255089\pi\) | |||||||
\(684\) | 12.4419 | − | 12.5044i | 0.475727 | − | 0.478119i | ||||
\(685\) | −4.96836 | + | 1.45884i | −0.189831 | + | 0.0557394i | ||||
\(686\) | 6.32255 | − | 13.8445i | 0.241396 | − | 0.528584i | ||||
\(687\) | −0.226699 | − | 6.13187i | −0.00864910 | − | 0.233946i | ||||
\(688\) | 0.599253 | + | 0.932456i | 0.0228463 | + | 0.0355495i | ||||
\(689\) | 5.22322 | 0.198989 | ||||||||
\(690\) | −8.01120 | − | 2.19560i | −0.304981 | − | 0.0835849i | ||||
\(691\) | −5.21430 | −0.198361 | −0.0991807 | − | 0.995069i | \(-0.531622\pi\) | ||||
−0.0991807 | + | 0.995069i | \(0.531622\pi\) | |||||||
\(692\) | 5.31578 | + | 8.27151i | 0.202076 | + | 0.314436i | ||||
\(693\) | −16.0763 | + | 3.53943i | −0.610688 | + | 0.134452i | ||||
\(694\) | −8.80638 | + | 19.2833i | −0.334286 | + | 0.731983i | ||||
\(695\) | −3.93262 | + | 1.15472i | −0.149173 | + | 0.0438011i | ||||
\(696\) | 10.0394 | − | 6.98913i | 0.380541 | − | 0.264922i | ||||
\(697\) | 10.2509 | − | 8.88245i | 0.388280 | − | 0.336447i | ||||
\(698\) | 21.1922 | − | 3.04698i | 0.802138 | − | 0.115330i | ||||
\(699\) | 27.7963 | + | 2.95316i | 1.05135 | + | 0.111699i | ||||
\(700\) | 0.918508 | + | 0.795892i | 0.0347163 | + | 0.0300819i | ||||
\(701\) | 14.7430 | + | 9.47478i | 0.556837 | + | 0.357857i | 0.788592 | − | 0.614917i | \(-0.210810\pi\) |
−0.231755 | + | 0.972774i | \(0.574447\pi\) | |||||||
\(702\) | 4.29293 | + | 0.137156i | 0.162026 | + | 0.00517663i | ||||
\(703\) | 36.7271 | − | 42.3853i | 1.38519 | − | 1.59859i | ||||
\(704\) | −4.33192 | − | 1.27197i | −0.163265 | − | 0.0479390i | ||||
\(705\) | 5.55007 | + | 16.6058i | 0.209028 | + | 0.625410i | ||||
\(706\) | −4.84525 | − | 5.59171i | −0.182353 | − | 0.210447i | ||||
\(707\) | −1.29095 | − | 2.82679i | −0.0485512 | − | 0.106312i | ||||
\(708\) | 20.8756 | − | 10.4823i | 0.784553 | − | 0.393950i | ||||
\(709\) | 11.0655 | + | 5.05344i | 0.415573 | + | 0.189786i | 0.612218 | − | 0.790689i | \(-0.290277\pi\) |
−0.196645 | + | 0.980475i | \(0.563005\pi\) | |||||||
\(710\) | 1.52437 | − | 10.6022i | 0.0572087 | − | 0.397895i | ||||
\(711\) | −26.2821 | − | 19.5719i | −0.985657 | − | 0.734004i | ||||
\(712\) | 18.7605i | 0.703081i | ||||||||
\(713\) | 14.3186 | + | 23.2317i | 0.536237 | + | 0.870035i | ||||
\(714\) | 2.13230 | + | 11.7343i | 0.0797992 | + | 0.439146i | ||||
\(715\) | 3.13949 | − | 2.01763i | 0.117410 | − | 0.0754550i | ||||
\(716\) | 26.0011 | + | 3.73840i | 0.971707 | + | 0.139710i | ||||
\(717\) | −4.83344 | + | 19.0368i | −0.180508 | + | 0.710942i | ||||
\(718\) | 8.11392 | + | 27.6335i | 0.302809 | + | 1.03127i | ||||
\(719\) | 10.5859 | − | 4.83442i | 0.394788 | − | 0.180294i | −0.208122 | − | 0.978103i | \(-0.566735\pi\) |
0.602910 | + | 0.797809i | \(0.294008\pi\) | |||||||
\(720\) | 2.63663 | + | 1.43114i | 0.0982615 | + | 0.0533354i | ||||
\(721\) | 0.937779 | + | 6.52240i | 0.0349247 | + | 0.242907i | ||||
\(722\) | 4.38755 | − | 14.9426i | 0.163288 | − | 0.556107i | ||||
\(723\) | −6.92078 | + | 11.6977i | −0.257387 | + | 0.435044i | ||||
\(724\) | −9.77923 | + | 15.2168i | −0.363442 | + | 0.565527i | ||||
\(725\) | −3.81828 | + | 5.94135i | −0.141807 | + | 0.220656i | ||||
\(726\) | −8.27565 | + | 13.9878i | −0.307138 | + | 0.519136i | ||||
\(727\) | 9.91381 | − | 33.7633i | 0.367683 | − | 1.25221i | −0.543219 | − | 0.839591i | \(-0.682795\pi\) |
0.910902 | − | 0.412622i | \(-0.135387\pi\) | |||||||
\(728\) | −0.142971 | − | 0.994388i | −0.00529887 | − | 0.0368545i | ||||
\(729\) | 26.3390 | − | 5.93758i | 0.975520 | − | 0.219910i | ||||
\(730\) | 8.53001 | − | 3.89553i | 0.315710 | − | 0.144180i | ||||
\(731\) | −1.76923 | − | 6.02545i | −0.0654374 | − | 0.222859i | ||||
\(732\) | −4.96174 | + | 19.5421i | −0.183391 | + | 0.722298i | ||||
\(733\) | 6.72325 | + | 0.966658i | 0.248329 | + | 0.0357043i | 0.265355 | − | 0.964151i | \(-0.414511\pi\) |
−0.0170262 | + | 0.999855i | \(0.505420\pi\) | |||||||
\(734\) | 6.69020 | − | 4.29953i | 0.246940 | − | 0.158698i | ||||
\(735\) | 1.71027 | + | 9.41181i | 0.0630841 | + | 0.347160i | ||||
\(736\) | 0.592912 | + | 4.75904i | 0.0218550 | + | 0.175421i | ||||
\(737\) | − | 28.3427i | − | 1.04402i | ||||||
\(738\) | −4.28971 | + | 5.76044i | −0.157907 | + | 0.212045i | ||||
\(739\) | 2.45064 | − | 17.0446i | 0.0901483 | − | 0.626995i | −0.893790 | − | 0.448486i | \(-0.851963\pi\) |
0.983938 | − | 0.178509i | \(-0.0571275\pi\) | |||||||
\(740\) | 8.67625 | + | 3.96231i | 0.318945 | + | 0.145657i | ||||
\(741\) | 7.52315 | − | 3.77762i | 0.276370 | − | 0.138775i | ||||
\(742\) | −3.19030 | − | 6.98579i | −0.117120 | − | 0.256456i | ||||
\(743\) | −13.5864 | − | 15.6795i | −0.498436 | − | 0.575226i | 0.449664 | − | 0.893198i | \(-0.351544\pi\) |
−0.948100 | + | 0.317972i | \(0.896998\pi\) | |||||||
\(744\) | −3.12422 | − | 9.34766i | −0.114540 | − | 0.342702i | ||||
\(745\) | −4.76308 | − | 1.39857i | −0.174506 | − | 0.0512395i | ||||
\(746\) | −21.9977 | + | 25.3867i | −0.805393 | + | 0.929473i | ||||
\(747\) | −15.1397 | − | 3.25370i | −0.553932 | − | 0.119047i | ||||
\(748\) | 21.5185 | + | 13.8291i | 0.786793 | + | 0.505641i | ||||
\(749\) | 0.484698 | + | 0.419993i | 0.0177105 | + | 0.0153462i | ||||
\(750\) | −1.72236 | − | 0.182988i | −0.0628916 | − | 0.00668179i | ||||
\(751\) | −52.7729 | + | 7.58760i | −1.92571 | + | 0.276875i | −0.995848 | − | 0.0910312i | \(-0.970984\pi\) |
−0.929863 | + | 0.367907i | \(0.880075\pi\) | |||||||
\(752\) | 7.63962 | − | 6.61977i | 0.278588 | − | 0.241398i | ||||
\(753\) | −38.1282 | + | 26.5438i | −1.38947 | + | 0.967311i | ||||
\(754\) | 5.60137 | − | 1.64471i | 0.203990 | − | 0.0598968i | ||||
\(755\) | 1.84361 | − | 4.03694i | 0.0670959 | − | 0.146919i | ||||
\(756\) | −2.43865 | − | 5.82535i | −0.0886929 | − | 0.211866i | ||||
\(757\) | 2.67101 | + | 4.15617i | 0.0970794 | + | 0.151059i | 0.886396 | − | 0.462928i | \(-0.153201\pi\) |
−0.789316 | + | 0.613987i | \(0.789565\pi\) | |||||||
\(758\) | 32.7436 | 1.18930 | ||||||||
\(759\) | 37.2115 | + | 4.66440i | 1.35069 | + | 0.169307i | ||||
\(760\) | 5.87992 | 0.213287 | ||||||||
\(761\) | 20.1417 | + | 31.3410i | 0.730135 | + | 1.13611i | 0.985567 | + | 0.169285i | \(0.0541458\pi\) |
−0.255432 | + | 0.966827i | \(0.582218\pi\) | |||||||
\(762\) | −0.498970 | − | 13.4964i | −0.0180758 | − | 0.488924i | ||||
\(763\) | 1.23637 | − | 2.70728i | 0.0447598 | − | 0.0980102i | ||||
\(764\) | 15.2601 | − | 4.48076i | 0.552090 | − | 0.162108i | ||||
\(765\) | −12.0487 | − | 11.9884i | −0.435620 | − | 0.433441i | ||||
\(766\) | 5.53482 | − | 4.79595i | 0.199981 | − | 0.173285i | ||||
\(767\) | 11.0346 | − | 1.58653i | 0.398435 | − | 0.0572863i | ||||
\(768\) | 0.182988 | − | 1.72236i | 0.00660302 | − | 0.0621502i | ||||
\(769\) | 23.1579 | + | 20.0664i | 0.835095 | + | 0.723614i | 0.963385 | − | 0.268123i | \(-0.0864034\pi\) |
−0.128290 | + | 0.991737i | \(0.540949\pi\) | |||||||
\(770\) | −4.61605 | − | 2.96655i | −0.166351 | − | 0.106907i | ||||
\(771\) | −30.8657 | − | 12.7397i | −1.11160 | − | 0.458808i | ||||
\(772\) | 9.26601 | − | 10.6935i | 0.333491 | − | 0.384869i | ||||
\(773\) | 3.16327 | + | 0.928819i | 0.113775 | + | 0.0334073i | 0.338124 | − | 0.941101i | \(-0.390208\pi\) |
−0.224350 | + | 0.974509i | \(0.572026\pi\) | |||||||
\(774\) | 1.60093 | + | 2.91448i | 0.0575442 | + | 0.104759i | ||||
\(775\) | 3.72637 | + | 4.30046i | 0.133855 | + | 0.154477i | ||||
\(776\) | −3.91686 | − | 8.57673i | −0.140607 | − | 0.307887i | ||||
\(777\) | −9.01000 | − | 17.9434i | −0.323232 | − | 0.643718i | ||||
\(778\) | −19.2641 | − | 8.79762i | −0.690652 | − | 0.315410i | ||||
\(779\) | −2.00336 | + | 13.9337i | −0.0717779 | + | 0.499226i | ||||
\(780\) | 0.976905 | + | 1.04664i | 0.0349788 | + | 0.0374756i | ||||
\(781\) | 48.3592i | 1.73043i | ||||||||
\(782\) | 4.37318 | − | 26.8170i | 0.156384 | − | 0.958976i | ||||
\(783\) | 31.4900 | − | 18.8444i | 1.12536 | − | 0.673443i | ||||
\(784\) | 4.64616 | − | 2.98590i | 0.165934 | − | 0.106639i | ||||
\(785\) | 7.64099 | + | 1.09861i | 0.272719 | + | 0.0392110i | ||||
\(786\) | −13.1707 | − | 3.34402i | −0.469782 | − | 0.119277i | ||||
\(787\) | 1.34251 | + | 4.57216i | 0.0478552 | + | 0.162980i | 0.979954 | − | 0.199225i | \(-0.0638423\pi\) |
−0.932099 | + | 0.362205i | \(0.882024\pi\) | |||||||
\(788\) | −24.3304 | + | 11.1113i | −0.866735 | + | 0.395825i | ||||
\(789\) | −10.6141 | + | 13.2052i | −0.377873 | + | 0.470117i | ||||
\(790\) | −1.55451 | − | 10.8118i | −0.0553069 | − | 0.384668i | ||||
\(791\) | −4.92314 | + | 16.7667i | −0.175047 | + | 0.596154i | ||||
\(792\) | −12.7022 | − | 4.70144i | −0.451355 | − | 0.167059i | ||||
\(793\) | −5.20212 | + | 8.09465i | −0.184733 | + | 0.287449i | ||||
\(794\) | 6.36373 | − | 9.90215i | 0.225840 | − | 0.351414i | ||||
\(795\) | 9.41962 | + | 5.57296i | 0.334080 | + | 0.197653i | ||||
\(796\) | 0.652143 | − | 2.22099i | 0.0231146 | − | 0.0787211i | ||||
\(797\) | 4.94779 | + | 34.4126i | 0.175260 | + | 1.21896i | 0.867554 | + | 0.497342i | \(0.165691\pi\) |
−0.692295 | + | 0.721615i | \(0.743400\pi\) | |||||||
\(798\) | −9.64746 | − | 7.75448i | −0.341516 | − | 0.274506i | ||||
\(799\) | −52.0962 | + | 23.7915i | −1.84303 | + | 0.841683i | ||||
\(800\) | 0.281733 | + | 0.959493i | 0.00996075 | + | 0.0339232i | ||||
\(801\) | −3.87429 | + | 56.1481i | −0.136891 | + | 1.98389i | ||||
\(802\) | 23.0238 | + | 3.31032i | 0.812997 | + | 0.116891i | ||||
\(803\) | −35.6163 | + | 22.8892i | −1.25687 | + | 0.807743i | ||||
\(804\) | 10.6982 | − | 1.94401i | 0.377295 | − | 0.0685600i | ||||
\(805\) | −0.938115 | + | 5.75268i | −0.0330642 | + | 0.202755i | ||||
\(806\) | − | 4.70361i | − | 0.165678i | ||||||
\(807\) | −8.71237 | + | 8.13192i | −0.306690 | + | 0.286257i | ||||
\(808\) | 0.363892 | − | 2.53092i | 0.0128017 | − | 0.0890376i | ||||
\(809\) | 10.9037 | + | 4.97954i | 0.383352 | + | 0.175071i | 0.597764 | − | 0.801672i | \(-0.296056\pi\) |
−0.214411 | + | 0.976743i | \(0.568783\pi\) | |||||||
\(810\) | 7.59559 | + | 4.82773i | 0.266882 | + | 0.169629i | ||||
\(811\) | −2.36443 | − | 5.17739i | −0.0830265 | − | 0.181803i | 0.863565 | − | 0.504237i | \(-0.168226\pi\) |
−0.946592 | + | 0.322434i | \(0.895499\pi\) | |||||||
\(812\) | −5.62099 | − | 6.48696i | −0.197258 | − | 0.227648i | ||||
\(813\) | 30.8675 | − | 10.3167i | 1.08257 | − | 0.361823i | ||||
\(814\) | −41.3187 | − | 12.1323i | −1.44822 | − | 0.425235i | ||||
\(815\) | −7.11019 | + | 8.20560i | −0.249059 | + | 0.287429i | ||||
\(816\) | −3.74395 | + | 9.07084i | −0.131064 | + | 0.317543i | ||||
\(817\) | 5.48276 | + | 3.52356i | 0.191818 | + | 0.123274i | ||||
\(818\) | 18.6702 | + | 16.1778i | 0.652788 | + | 0.565644i | ||||
\(819\) | −0.222543 | − | 3.00561i | −0.00777627 | − | 0.105025i | ||||
\(820\) | −2.36971 | + | 0.340712i | −0.0827537 | + | 0.0118982i | ||||
\(821\) | −22.8837 | + | 19.8289i | −0.798648 | + | 0.692033i | −0.955305 | − | 0.295620i | \(-0.904474\pi\) |
0.156657 | + | 0.987653i | \(0.449928\pi\) | |||||||
\(822\) | 5.12431 | + | 7.36069i | 0.178731 | + | 0.256734i | ||||
\(823\) | 19.6742 | − | 5.77686i | 0.685798 | − | 0.201369i | 0.0797720 | − | 0.996813i | \(-0.474581\pi\) |
0.606026 | + | 0.795445i | \(0.292763\pi\) | |||||||
\(824\) | −2.25231 | + | 4.93186i | −0.0784628 | + | 0.171810i | ||||
\(825\) | 7.81452 | − | 0.288907i | 0.272067 | − | 0.0100585i | ||||
\(826\) | −8.86173 | − | 13.7891i | −0.308339 | − | 0.479785i | ||||
\(827\) | −19.9946 | −0.695281 | −0.347640 | − | 0.937628i | \(-0.613017\pi\) | ||||
−0.347640 | + | 0.937628i | \(0.613017\pi\) | |||||||
\(828\) | 0.791712 | + | 14.3657i | 0.0275139 | + | 0.499242i | ||||
\(829\) | 40.4650 | 1.40541 | 0.702704 | − | 0.711483i | \(-0.251976\pi\) | ||||
0.702704 | + | 0.711483i | \(0.251976\pi\) | |||||||
\(830\) | −2.79068 | − | 4.34238i | −0.0968658 | − | 0.150726i | ||||
\(831\) | −13.7683 | + | 0.509023i | −0.477618 | + | 0.0176578i | ||||
\(832\) | 0.343381 | − | 0.751899i | 0.0119046 | − | 0.0260674i | ||||
\(833\) | −30.0231 | + | 8.81557i | −1.04024 | + | 0.305441i | ||||
\(834\) | 4.05607 | + | 5.82624i | 0.140450 | + | 0.201746i | ||||
\(835\) | 6.67997 | − | 5.78823i | 0.231170 | − | 0.200310i | ||||
\(836\) | −26.2764 | + | 3.77798i | −0.908790 | + | 0.130664i | ||||
\(837\) | −7.42003 | − | 28.6217i | −0.256474 | − | 0.989309i | ||||
\(838\) | 20.7662 | + | 17.9940i | 0.717356 | + | 0.621593i | ||||
\(839\) | −15.3339 | − | 9.85452i | −0.529386 | − | 0.340216i | 0.248489 | − | 0.968635i | \(-0.420066\pi\) |
−0.777875 | + | 0.628419i | \(0.783702\pi\) | |||||||
\(840\) | 0.803135 | − | 1.94584i | 0.0277108 | − | 0.0671377i | ||||
\(841\) | 13.6728 | − | 15.7792i | 0.471475 | − | 0.544111i | ||||
\(842\) | 10.0109 | + | 2.93947i | 0.344999 | + | 0.101301i | ||||
\(843\) | 44.7492 | − | 14.9563i | 1.54124 | − | 0.515123i | ||||
\(844\) | 0.614722 | + | 0.709427i | 0.0211596 | + | 0.0244195i | ||||
\(845\) | −5.11656 | − | 11.2037i | −0.176015 | − | 0.385419i | ||||
\(846\) | 24.2316 | − | 18.2345i | 0.833098 | − | 0.626915i | ||||
\(847\) | 10.3736 | + | 4.73748i | 0.356443 | + | 0.162782i | ||||
\(848\) | 0.899280 | − | 6.25463i | 0.0308814 | − | 0.214785i | ||||
\(849\) | 8.06886 | − | 7.53128i | 0.276923 | − | 0.258473i | ||||
\(850\) | − | 5.66560i | − | 0.194329i | ||||||
\(851\) | 5.65531 | + | 45.3926i | 0.193861 | + | 1.55604i | ||||
\(852\) | −18.2535 | + | 3.31694i | −0.625356 | + | 0.113636i | ||||
\(853\) | 47.8655 | − | 30.7613i | 1.63888 | − | 1.05325i | 0.697128 | − | 0.716946i | \(-0.254461\pi\) |
0.941755 | − | 0.336300i | \(-0.109176\pi\) | |||||||
\(854\) | 14.0036 | + | 2.01341i | 0.479193 | + | 0.0688975i | ||||
\(855\) | 17.5979 | + | 1.21428i | 0.601836 | + | 0.0415275i | ||||
\(856\) | 0.148671 | + | 0.506326i | 0.00508146 | + | 0.0173059i | ||||
\(857\) | −32.7379 | + | 14.9509i | −1.11831 | + | 0.510713i | −0.886815 | − | 0.462124i | \(-0.847087\pi\) |
−0.231490 | + | 0.972837i | \(0.574360\pi\) | |||||||
\(858\) | −5.03812 | − | 4.04957i | −0.171999 | − | 0.138250i | ||||
\(859\) | −1.58754 | − | 11.0416i | −0.0541661 | − | 0.376734i | −0.998816 | − | 0.0486529i | \(-0.984507\pi\) |
0.944650 | − | 0.328081i | \(-0.106402\pi\) | |||||||
\(860\) | −0.312276 | + | 1.06351i | −0.0106485 | + | 0.0362655i | ||||
\(861\) | 4.33742 | + | 2.56616i | 0.147819 | + | 0.0874546i | ||||
\(862\) | 11.2952 | − | 17.5757i | 0.384717 | − | 0.598632i | ||||
\(863\) | 1.19364 | − | 1.85735i | 0.0406321 | − | 0.0632248i | −0.820343 | − | 0.571871i | \(-0.806218\pi\) |
0.860975 | + | 0.508647i | \(0.169854\pi\) | |||||||
\(864\) | 0.903352 | − | 5.11703i | 0.0307327 | − | 0.174085i | ||||
\(865\) | −2.77010 | + | 9.43408i | −0.0941861 | + | 0.320768i | ||||
\(866\) | 3.22680 | + | 22.4429i | 0.109651 | + | 0.762640i | ||||
\(867\) | 16.3842 | − | 20.3839i | 0.556438 | − | 0.692272i | ||||
\(868\) | −6.29084 | + | 2.87293i | −0.213525 | + | 0.0975135i | ||||
\(869\) | 13.8937 | + | 47.3176i | 0.471311 | + | 1.60514i | ||||
\(870\) | 11.8564 | + | 3.01034i | 0.401970 | + | 0.102060i | ||||
\(871\) | 5.13633 | + | 0.738493i | 0.174038 | + | 0.0250229i | ||||
\(872\) | 2.06011 | − | 1.32395i | 0.0697640 | − | 0.0448346i | ||||
\(873\) | −9.95150 | − | 26.4780i | −0.336807 | − | 0.896146i | ||||
\(874\) | 14.7957 | + | 24.0058i | 0.500472 | + | 0.812007i | ||||
\(875\) | 1.21536i | 0.0410867i | ||||||||
\(876\) | −11.0826 | − | 11.8737i | −0.374447 | − | 0.401174i | ||||
\(877\) | −4.52580 | + | 31.4776i | −0.152825 | + | 1.06292i | 0.758629 | + | 0.651523i | \(0.225869\pi\) |
−0.911454 | + | 0.411401i | \(0.865040\pi\) | |||||||
\(878\) | 11.0589 | + | 5.05044i | 0.373221 | + | 0.170444i | ||||
\(879\) | −5.48419 | − | 10.9218i | −0.184977 | − | 0.368383i | ||||
\(880\) | −1.87552 | − | 4.10681i | −0.0632236 | − | 0.138440i | ||||
\(881\) | −8.94839 | − | 10.3270i | −0.301479 | − | 0.347925i | 0.584716 | − | 0.811238i | \(-0.301206\pi\) |
−0.886195 | + | 0.463313i | \(0.846661\pi\) | |||||||
\(882\) | 14.5220 | − | 7.97697i | 0.488982 | − | 0.268599i | ||||
\(883\) | 0.481261 | + | 0.141311i | 0.0161957 | + | 0.00475549i | 0.289820 | − | 0.957081i | \(-0.406404\pi\) |
−0.273625 | + | 0.961837i | \(0.588223\pi\) | |||||||
\(884\) | −3.06683 | + | 3.53931i | −0.103148 | + | 0.119040i | ||||
\(885\) | 21.5926 | + | 8.91226i | 0.725828 | + | 0.299582i | ||||
\(886\) | 30.7335 | + | 19.7512i | 1.03251 | + | 0.663556i | ||||
\(887\) | 25.8267 | + | 22.3790i | 0.867177 | + | 0.751413i | 0.969953 | − | 0.243292i | \(-0.0782272\pi\) |
−0.102777 | + | 0.994704i | \(0.532773\pi\) | |||||||
\(888\) | 1.74538 | − | 16.4282i | 0.0585711 | − | 0.551294i | ||||
\(889\) | −9.38029 | + | 1.34868i | −0.314605 | + | 0.0452334i | ||||
\(890\) | −14.1783 | + | 12.2855i | −0.475256 | + | 0.411812i | ||||
\(891\) | −37.0454 | − | 16.6941i | −1.24107 | − | 0.559272i | ||||
\(892\) | −18.8257 | + | 5.52771i | −0.630330 | + | 0.185082i | ||||
\(893\) | 24.6915 | − | 54.0668i | 0.826269 | − | 1.80928i | ||||
\(894\) | 0.317662 | + | 8.59231i | 0.0106242 | + | 0.287370i | ||||
\(895\) | 14.2018 | + | 22.0985i | 0.474714 | + | 0.738670i | ||||
\(896\) | −1.21536 | −0.0406023 | ||||||||
\(897\) | −1.81487 | + | 6.62204i | −0.0605969 | + | 0.221103i | ||||
\(898\) | −23.7063 | −0.791088 | ||||||||
\(899\) | −21.7272 | − | 33.8083i | −0.724644 | − | 1.12757i | ||||
\(900\) | 0.645045 | + | 2.92983i | 0.0215015 | + | 0.0976611i | ||||
\(901\) | −14.8721 | + | 32.5654i | −0.495462 | + | 1.08491i | ||||
\(902\) | 10.3709 | − | 3.04518i | 0.345314 | − | 0.101393i | ||||
\(903\) | 1.91494 | − | 1.33312i | 0.0637251 | − | 0.0443636i | ||||
\(904\) | −10.8662 | + | 9.41562i | −0.361405 | + | 0.313159i | ||||
\(905\) | −17.9041 | + | 2.57422i | −0.595153 | + | 0.0855700i | ||||
\(906\) | −7.64382 | − | 0.812102i | −0.253949 | − | 0.0269803i | ||||
\(907\) | −16.5833 | − | 14.3695i | −0.550641 | − | 0.477133i | 0.334539 | − | 0.942382i | \(-0.391419\pi\) |
−0.885180 | + | 0.465249i | \(0.845965\pi\) | |||||||
\(908\) | −3.65889 | − | 2.35143i | −0.121425 | − | 0.0780348i | ||||
\(909\) | 1.61176 | − | 7.49961i | 0.0534586 | − | 0.248746i | ||||
\(910\) | 0.657882 | − | 0.759236i | 0.0218086 | − | 0.0251684i | ||||
\(911\) | 50.5793 | + | 14.8514i | 1.67577 | + | 0.492049i | 0.975161 | − | 0.221499i | \(-0.0710949\pi\) |
0.700606 | + | 0.713548i | \(0.252913\pi\) | |||||||
\(912\) | −3.22832 | − | 9.65911i | −0.106900 | − | 0.319845i | ||||
\(913\) | 15.2612 | + | 17.6123i | 0.505071 | + | 0.582883i | ||||
\(914\) | 7.80582 | + | 17.0924i | 0.258194 | + | 0.565365i | ||||
\(915\) | −18.0182 | + | 9.04755i | −0.595664 | + | 0.299103i | ||||
\(916\) | −3.22251 | − | 1.47167i | −0.106475 | − | 0.0486254i | ||||
\(917\) | −1.35696 | + | 9.43788i | −0.0448108 | + | 0.311666i | ||||
\(918\) | −13.0784 | + | 26.3748i | −0.431653 | + | 0.870498i | ||||
\(919\) | 29.2165i | 0.963762i | 0.876237 | + | 0.481881i | \(0.160046\pi\) | ||||
−0.876237 | + | 0.481881i | \(0.839954\pi\) | |||||||
\(920\) | −3.20837 | + | 3.56460i | −0.105777 | + | 0.117521i | ||||
\(921\) | −6.39414 | − | 35.1878i | −0.210694 | − | 1.15948i | ||||
\(922\) | −26.7837 | + | 17.2128i | −0.882074 | + | 0.566875i | ||||
\(923\) | −8.76378 | − | 1.26004i | −0.288463 | − | 0.0414748i | ||||
\(924\) | −2.33884 | + | 9.21167i | −0.0769422 | + | 0.303042i | ||||
\(925\) | 2.68722 | + | 9.15183i | 0.0883553 | + | 0.300910i | ||||
\(926\) | 23.9939 | − | 10.9577i | 0.788490 | − | 0.360091i | ||||
\(927\) | −7.75939 | + | 14.2954i | −0.254852 | + | 0.469521i | ||||
\(928\) | −1.00510 | − | 6.99061i | −0.0329940 | − | 0.229478i | ||||
\(929\) | 0.417549 | − | 1.42204i | 0.0136993 | − | 0.0466557i | −0.952360 | − | 0.304977i | \(-0.901351\pi\) |
0.966059 | + | 0.258321i | \(0.0831694\pi\) | |||||||
\(930\) | 5.01856 | − | 8.48255i | 0.164565 | − | 0.278154i | ||||
\(931\) | 17.5569 | − | 27.3190i | 0.575403 | − | 0.895345i | ||||
\(932\) | 8.72513 | − | 13.5766i | 0.285801 | − | 0.444715i | ||||
\(933\) | −9.05375 | + | 15.3030i | −0.296406 | + | 0.500997i | ||||
\(934\) | −3.83750 | + | 13.0693i | −0.125567 | + | 0.427642i | ||||
\(935\) | 3.64028 | + | 25.3187i | 0.119050 | + | 0.828010i | ||||
\(936\) | 1.18298 | − | 2.17943i | 0.0386668 | − | 0.0712370i | ||||
\(937\) | −9.83961 | + | 4.49360i | −0.321446 | + | 0.146800i | −0.569602 | − | 0.821921i | \(-0.692903\pi\) |
0.248156 | + | 0.968720i | \(0.420175\pi\) | |||||||
\(938\) | −2.14954 | − | 7.32065i | −0.0701848 | − | 0.239028i | ||||
\(939\) | −7.25706 | + | 28.5824i | −0.236825 | + | 0.932751i | ||||
\(940\) | 10.0058 | + | 1.43861i | 0.326352 | + | 0.0469224i | ||||
\(941\) | −15.5870 | + | 10.0172i | −0.508122 | + | 0.326550i | −0.769458 | − | 0.638698i | \(-0.779474\pi\) |
0.261335 | + | 0.965248i | \(0.415837\pi\) | |||||||
\(942\) | −2.39050 | − | 13.1552i | −0.0778868 | − | 0.428621i | ||||
\(943\) | −7.35393 | − | 8.81739i | −0.239477 | − | 0.287134i | ||||
\(944\) | − | 13.4867i | − | 0.438954i | ||||||
\(945\) | 2.80553 | − | 5.65780i | 0.0912639 | − | 0.184048i | ||||
\(946\) | 0.712180 | − | 4.95332i | 0.0231550 | − | 0.161046i | ||||
\(947\) | −3.66173 | − | 1.67226i | −0.118990 | − | 0.0543411i | 0.355030 | − | 0.934855i | \(-0.384471\pi\) |
−0.474021 | + | 0.880514i | \(0.657198\pi\) | |||||||
\(948\) | −16.9074 | + | 8.48977i | −0.549127 | + | 0.275735i | ||||
\(949\) | −3.22003 | − | 7.05088i | −0.104527 | − | 0.228881i | ||||
\(950\) | 3.85053 | + | 4.44375i | 0.124928 | + | 0.144174i | ||||
\(951\) | −2.24233 | − | 6.70902i | −0.0727124 | − | 0.217555i | ||||
\(952\) | 6.60683 | + | 1.93994i | 0.214129 | + | 0.0628738i | ||||
\(953\) | −14.5252 | + | 16.7630i | −0.470517 | + | 0.543006i | −0.940555 | − | 0.339640i | \(-0.889695\pi\) |
0.470038 | + | 0.882646i | \(0.344240\pi\) | |||||||
\(954\) | 3.98310 | − | 18.5337i | 0.128958 | − | 0.600049i | ||||
\(955\) | 13.3796 | + | 8.59852i | 0.432952 | + | 0.278242i | ||||
\(956\) | 8.56993 | + | 7.42588i | 0.277171 | + | 0.240170i | ||||
\(957\) | −54.9187 | − | 5.83472i | −1.77527 | − | 0.188610i | ||||
\(958\) | −0.795856 | + | 0.114427i | −0.0257129 | + | 0.00369696i | ||||
\(959\) | 4.75613 | − | 4.12121i | 0.153584 | − | 0.133081i | ||||
\(960\) | 1.42150 | − | 0.989611i | 0.0458788 | − | 0.0319396i | ||||
\(961\) | −1.32396 | + | 0.388750i | −0.0427084 | + | 0.0125403i | ||||
\(962\) | 3.27523 | − | 7.17176i | 0.105598 | − | 0.231227i | ||||
\(963\) | 0.340391 | + | 1.54608i | 0.0109689 | + | 0.0498216i | ||||
\(964\) | 4.24250 | + | 6.60147i | 0.136642 | + | 0.212619i | ||||
\(965\) | 14.1496 | 0.455491 | ||||||||
\(966\) | 9.96514 | − | 1.61739i | 0.320623 | − | 0.0520386i | ||||
\(967\) | −6.64612 | −0.213725 | −0.106862 | − | 0.994274i | \(-0.534080\pi\) | ||||
−0.106862 | + | 0.994274i | \(0.534080\pi\) | |||||||
\(968\) | 5.07305 | + | 7.89382i | 0.163054 | + | 0.253717i | ||||
\(969\) | 2.13176 | + | 57.6609i | 0.0684819 | + | 1.85234i | ||||
\(970\) | 3.91686 | − | 8.57673i | 0.125763 | − | 0.275382i | ||||
\(971\) | 3.41705 | − | 1.00334i | 0.109658 | − | 0.0321986i | −0.226443 | − | 0.974024i | \(-0.572710\pi\) |
0.336101 | + | 0.941826i | \(0.390892\pi\) | |||||||
\(972\) | 3.76036 | − | 15.1281i | 0.120614 | − | 0.485234i | ||||
\(973\) | 3.76464 | − | 3.26208i | 0.120689 | − | 0.104578i | ||||
\(974\) | −15.0937 | + | 2.17015i | −0.483633 | + | 0.0695359i | ||||
\(975\) | −0.151258 | + | 1.42370i | −0.00484412 | + | 0.0455948i | ||||
\(976\) | 8.79742 | + | 7.62301i | 0.281598 | + | 0.244006i | ||||
\(977\) | 39.1841 | + | 25.1821i | 1.25361 | + | 0.805647i | 0.987396 | − | 0.158267i | \(-0.0505906\pi\) |
0.266215 | + | 0.963914i | \(0.414227\pi\) | |||||||
\(978\) | 17.3833 | + | 7.17489i | 0.555858 | + | 0.229428i | ||||
\(979\) | 55.4667 | − | 64.0120i | 1.77272 | − | 2.04583i | ||||
\(980\) | 5.29918 | + | 1.55598i | 0.169276 | + | 0.0497040i | ||||
\(981\) | 6.43907 | − | 3.53699i | 0.205584 | − | 0.112927i | ||||
\(982\) | 20.2893 | + | 23.4151i | 0.647457 | + | 0.747206i | ||||
\(983\) | 21.2803 | + | 46.5973i | 0.678735 | + | 1.48622i | 0.863978 | + | 0.503530i | \(0.167966\pi\) |
−0.185242 | + | 0.982693i | \(0.559307\pi\) | |||||||
\(984\) | 1.86076 | + | 3.70572i | 0.0593190 | + | 0.118134i | ||||
\(985\) | −24.3304 | − | 11.1113i | −0.775231 | − | 0.354036i | ||||
\(986\) | −5.69449 | + | 39.6060i | −0.181349 | + | 1.26131i | ||||
\(987\) | −14.5197 | − | 15.5561i | −0.462167 | − | 0.495156i | ||||
\(988\) | − | 4.86032i | − | 0.154628i | ||||||
\(989\) | −5.12776 | + | 1.40121i | −0.163053 | + | 0.0445558i | ||||
\(990\) | −4.76509 | − | 12.6785i | −0.151444 | − | 0.402949i | ||||
\(991\) | −34.5184 | + | 22.1836i | −1.09651 | + | 0.704686i | −0.958313 | − | 0.285719i | \(-0.907768\pi\) |
−0.138199 | + | 0.990405i | \(0.544131\pi\) | |||||||
\(992\) | −5.63241 | − | 0.809818i | −0.178829 | − | 0.0257118i | ||||
\(993\) | −28.1392 | − | 7.14453i | −0.892970 | − | 0.226725i | ||||
\(994\) | 3.66761 | + | 12.4907i | 0.116329 | + | 0.396182i | ||||
\(995\) | 2.10558 | − | 0.961586i | 0.0667513 | − | 0.0304843i | ||||
\(996\) | −5.60115 | + | 6.96846i | −0.177479 | + | 0.220804i | ||||
\(997\) | −2.15501 | − | 14.9884i | −0.0682497 | − | 0.474687i | −0.995069 | − | 0.0991806i | \(-0.968378\pi\) |
0.926820 | − | 0.375507i | \(-0.122531\pi\) | |||||||
\(998\) | −4.61482 | + | 15.7166i | −0.146080 | + | 0.497502i | ||||
\(999\) | 8.61635 | − | 48.8072i | 0.272609 | − | 1.54419i |
(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 | 690.2.q.a.11.1 | ✓ | 160 | |
3.2 | odd | 2 | 690.2.q.b.11.16 | yes | 160 | ||
23.21 | odd | 22 | 690.2.q.b.251.16 | yes | 160 | ||
69.44 | even | 22 | inner | 690.2.q.a.251.1 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.q.a.11.1 | ✓ | 160 | 1.1 | even | 1 | trivial | |
690.2.q.a.251.1 | yes | 160 | 69.44 | even | 22 | inner | |
690.2.q.b.11.16 | yes | 160 | 3.2 | odd | 2 | ||
690.2.q.b.251.16 | yes | 160 | 23.21 | odd | 22 |