Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(59,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 11, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.bd (of order \(66\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(1280\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 59.17 | ||
Character | \(\chi\) | \(=\) | 966.59 |
Dual form | 966.2.bd.a.131.17 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.945001 | − | 0.327068i | −0.668216 | − | 0.231272i | ||||
\(3\) | −0.00143408 | + | 1.73205i | −0.000827969 | + | 1.00000i | ||||
\(4\) | 0.786053 | + | 0.618159i | 0.393027 | + | 0.309079i | ||||
\(5\) | −2.94984 | + | 0.281676i | −1.31921 | + | 0.125969i | −0.730799 | − | 0.682593i | \(-0.760852\pi\) |
−0.588410 | + | 0.808562i | \(0.700246\pi\) | |||||||
\(6\) | 0.567853 | − | 1.63632i | 0.231825 | − | 0.668025i | ||||
\(7\) | −1.51302 | − | 2.17043i | −0.571867 | − | 0.820346i | ||||
\(8\) | −0.540641 | − | 0.841254i | −0.191145 | − | 0.297428i | ||||
\(9\) | −3.00000 | − | 0.00496781i | −0.999999 | − | 0.00165594i | ||||
\(10\) | 2.87973 | + | 0.698615i | 0.910650 | + | 0.220921i | ||||
\(11\) | −5.80246 | + | 2.00825i | −1.74951 | + | 0.605510i | −0.998498 | − | 0.0547827i | \(-0.982553\pi\) |
−0.751008 | + | 0.660293i | \(0.770432\pi\) | |||||||
\(12\) | −1.07181 | + | 1.36060i | −0.309405 | + | 0.392771i | ||||
\(13\) | −0.0271222 | − | 0.0923696i | −0.00752234 | − | 0.0256187i | 0.955646 | − | 0.294517i | \(-0.0951587\pi\) |
−0.963169 | + | 0.268898i | \(0.913341\pi\) | |||||||
\(14\) | 0.719926 | + | 2.54592i | 0.192408 | + | 0.680426i | ||||
\(15\) | −0.483646 | − | 5.10968i | −0.124877 | − | 1.31931i | ||||
\(16\) | 0.235759 | + | 0.971812i | 0.0589397 | + | 0.242953i | ||||
\(17\) | 7.38327 | + | 2.95582i | 1.79071 | + | 0.716891i | 0.993587 | + | 0.113069i | \(0.0360682\pi\) |
0.797120 | + | 0.603821i | \(0.206356\pi\) | |||||||
\(18\) | 2.83337 | + | 0.985897i | 0.667833 | + | 0.232378i | ||||
\(19\) | −0.799468 | − | 1.99697i | −0.183411 | − | 0.458137i | 0.807958 | − | 0.589240i | \(-0.200573\pi\) |
−0.991369 | + | 0.131102i | \(0.958148\pi\) | |||||||
\(20\) | −2.49285 | − | 1.60206i | −0.557419 | − | 0.358231i | ||||
\(21\) | 3.76147 | − | 2.61751i | 0.820819 | − | 0.571188i | ||||
\(22\) | 6.14016 | 1.30909 | ||||||||
\(23\) | 4.23726 | − | 2.24624i | 0.883530 | − | 0.468374i | ||||
\(24\) | 1.45787 | − | 0.935211i | 0.297586 | − | 0.190899i | ||||
\(25\) | 3.71258 | − | 0.715540i | 0.742515 | − | 0.143108i | ||||
\(26\) | −0.00458067 | + | 0.0961602i | −0.000898344 | + | 0.0188586i | ||||
\(27\) | 0.0129067 | − | 5.19614i | 0.00248390 | − | 0.999997i | ||||
\(28\) | 0.152358 | − | 2.64136i | 0.0287930 | − | 0.499170i | ||||
\(29\) | 2.47428 | − | 0.355747i | 0.459461 | − | 0.0660606i | 0.0913020 | − | 0.995823i | \(-0.470897\pi\) |
0.368159 | + | 0.929763i | \(0.379988\pi\) | |||||||
\(30\) | −1.21417 | + | 4.98683i | −0.221675 | + | 0.910467i | ||||
\(31\) | −1.04780 | + | 0.0499127i | −0.188190 | + | 0.00896458i | −0.141465 | − | 0.989943i | \(-0.545181\pi\) |
−0.0467245 | + | 0.998908i | \(0.514878\pi\) | |||||||
\(32\) | 0.0950560 | − | 0.995472i | 0.0168037 | − | 0.175976i | ||||
\(33\) | −3.47007 | − | 10.0530i | −0.604061 | − | 1.75001i | ||||
\(34\) | −6.01045 | − | 5.20808i | −1.03078 | − | 0.893179i | ||||
\(35\) | 5.07452 | + | 5.97625i | 0.857751 | + | 1.01017i | ||||
\(36\) | −2.35509 | − | 1.85838i | −0.392514 | − | 0.309730i | ||||
\(37\) | 0.266650 | − | 0.374458i | 0.0438370 | − | 0.0615605i | −0.792076 | − | 0.610423i | \(-0.791000\pi\) |
0.835913 | + | 0.548862i | \(0.184939\pi\) | |||||||
\(38\) | 0.102352 | + | 2.14862i | 0.0166036 | + | 0.348553i | ||||
\(39\) | 0.160028 | − | 0.0468445i | 0.0256249 | − | 0.00750112i | ||||
\(40\) | 1.83177 | + | 2.32928i | 0.289627 | + | 0.368291i | ||||
\(41\) | 1.50103 | − | 3.28679i | 0.234421 | − | 0.513310i | −0.755463 | − | 0.655192i | \(-0.772588\pi\) |
0.989884 | + | 0.141881i | \(0.0453152\pi\) | |||||||
\(42\) | −4.41069 | + | 1.24330i | −0.680585 | + | 0.191845i | ||||
\(43\) | 3.87284 | + | 2.48892i | 0.590603 | + | 0.379557i | 0.801539 | − | 0.597943i | \(-0.204015\pi\) |
−0.210936 | + | 0.977500i | \(0.567651\pi\) | |||||||
\(44\) | −5.80246 | − | 2.00825i | −0.874753 | − | 0.302755i | ||||
\(45\) | 8.85091 | − | 0.830372i | 1.31942 | − | 0.123784i | ||||
\(46\) | −4.73889 | + | 0.736827i | −0.698711 | + | 0.108639i | ||||
\(47\) | −0.575724 | − | 0.997184i | −0.0839780 | − | 0.145454i | 0.820977 | − | 0.570961i | \(-0.193429\pi\) |
−0.904955 | + | 0.425507i | \(0.860096\pi\) | |||||||
\(48\) | −1.68356 | + | 0.406953i | −0.243002 | + | 0.0587386i | ||||
\(49\) | −2.42155 | + | 6.56781i | −0.345935 | + | 0.938258i | ||||
\(50\) | −3.74242 | − | 0.538079i | −0.529258 | − | 0.0760958i | ||||
\(51\) | −5.13021 | + | 12.7840i | −0.718373 | + | 1.79011i | ||||
\(52\) | 0.0357797 | − | 0.0893732i | 0.00496174 | − | 0.0123938i | ||||
\(53\) | 2.68950 | + | 2.82067i | 0.369431 | + | 0.387448i | 0.882040 | − | 0.471174i | \(-0.156170\pi\) |
−0.512609 | + | 0.858622i | \(0.671321\pi\) | |||||||
\(54\) | −1.71169 | + | 4.90613i | −0.232931 | + | 0.667640i | ||||
\(55\) | 16.5506 | − | 7.55843i | 2.23169 | − | 1.01918i | ||||
\(56\) | −1.00788 | + | 2.44626i | −0.134684 | + | 0.326895i | ||||
\(57\) | 3.46001 | − | 1.38186i | 0.458289 | − | 0.183031i | ||||
\(58\) | −2.45455 | − | 0.473075i | −0.322298 | − | 0.0621178i | ||||
\(59\) | 2.75138 | − | 11.3413i | 0.358199 | − | 1.47652i | −0.452876 | − | 0.891573i | \(-0.649602\pi\) |
0.811075 | − | 0.584942i | \(-0.198883\pi\) | |||||||
\(60\) | 2.77842 | − | 4.31545i | 0.358693 | − | 0.557122i | ||||
\(61\) | −0.268053 | + | 0.519951i | −0.0343207 | + | 0.0665729i | −0.905372 | − | 0.424619i | \(-0.860408\pi\) |
0.871052 | + | 0.491192i | \(0.163438\pi\) | |||||||
\(62\) | 1.00649 | + | 0.295533i | 0.127825 | + | 0.0375327i | ||||
\(63\) | 4.52827 | + | 6.51880i | 0.570508 | + | 0.821292i | ||||
\(64\) | −0.415415 | + | 0.909632i | −0.0519269 | + | 0.113704i | ||||
\(65\) | 0.106024 | + | 0.264836i | 0.0131507 | + | 0.0328489i | ||||
\(66\) | −0.00880551 | + | 10.6351i | −0.00108388 | + | 1.30909i | ||||
\(67\) | −8.32684 | + | 1.60487i | −1.01728 | + | 0.196066i | −0.670524 | − | 0.741888i | \(-0.733931\pi\) |
−0.346761 | + | 0.937954i | \(0.612719\pi\) | |||||||
\(68\) | 3.97648 | + | 6.88747i | 0.482219 | + | 0.835228i | ||||
\(69\) | 3.88453 | + | 7.34237i | 0.467642 | + | 0.883918i | ||||
\(70\) | −2.84079 | − | 7.30727i | −0.339539 | − | 0.873386i | ||||
\(71\) | 10.3907 | − | 9.00363i | 1.23315 | − | 1.06853i | 0.237894 | − | 0.971291i | \(-0.423543\pi\) |
0.995261 | − | 0.0972430i | \(-0.0310024\pi\) | |||||||
\(72\) | 1.61774 | + | 2.52644i | 0.190653 | + | 0.297744i | ||||
\(73\) | 3.61048 | − | 4.59110i | 0.422575 | − | 0.537347i | −0.527424 | − | 0.849602i | \(-0.676842\pi\) |
0.949998 | + | 0.312255i | \(0.101084\pi\) | |||||||
\(74\) | −0.374458 | + | 0.266650i | −0.0435298 | + | 0.0309975i | ||||
\(75\) | 1.23403 | + | 6.43140i | 0.142493 | + | 0.742634i | ||||
\(76\) | 0.606024 | − | 2.06393i | 0.0695157 | − | 0.236749i | ||||
\(77\) | 13.1380 | + | 9.55532i | 1.49721 | + | 1.08893i | ||||
\(78\) | −0.166548 | − | 0.00807186i | −0.0188578 | − | 0.000913958i | ||||
\(79\) | 7.54881 | + | 7.19778i | 0.849308 | + | 0.809813i | 0.983456 | − | 0.181148i | \(-0.0579813\pi\) |
−0.134148 | + | 0.990961i | \(0.542830\pi\) | |||||||
\(80\) | −0.969187 | − | 2.80028i | −0.108358 | − | 0.313081i | ||||
\(81\) | 8.99995 | + | 0.0298068i | 0.999995 | + | 0.00331187i | ||||
\(82\) | −2.49347 | + | 2.61508i | −0.275358 | + | 0.288787i | ||||
\(83\) | −1.36844 | − | 2.99647i | −0.150206 | − | 0.328905i | 0.819540 | − | 0.573022i | \(-0.194229\pi\) |
−0.969746 | + | 0.244117i | \(0.921502\pi\) | |||||||
\(84\) | 4.57475 | + | 0.267680i | 0.499146 | + | 0.0292063i | ||||
\(85\) | −22.6121 | − | 6.63950i | −2.45262 | − | 0.720155i | ||||
\(86\) | −2.84579 | − | 3.61872i | −0.306869 | − | 0.390216i | ||||
\(87\) | 0.612624 | + | 4.28608i | 0.0656801 | + | 0.459516i | ||||
\(88\) | 4.82649 | + | 3.79560i | 0.514506 | + | 0.404612i | ||||
\(89\) | −0.464706 | + | 9.75539i | −0.0492588 | + | 1.03407i | 0.830012 | + | 0.557746i | \(0.188334\pi\) |
−0.879270 | + | 0.476323i | \(0.841969\pi\) | |||||||
\(90\) | −8.63570 | − | 2.11015i | −0.910283 | − | 0.222429i | ||||
\(91\) | −0.159446 | + | 0.198624i | −0.0167144 | + | 0.0208214i | ||||
\(92\) | 4.71925 | + | 0.853638i | 0.492016 | + | 0.0889979i | ||||
\(93\) | −0.0849486 | − | 1.81491i | −0.00880876 | − | 0.188197i | ||||
\(94\) | 0.217913 | + | 1.13064i | 0.0224760 | + | 0.116617i | ||||
\(95\) | 2.92080 | + | 5.66557i | 0.299668 | + | 0.581275i | ||||
\(96\) | 1.72407 | + | 0.166069i | 0.175962 | + | 0.0169494i | ||||
\(97\) | −14.0292 | − | 6.40690i | −1.42444 | − | 0.650522i | −0.453814 | − | 0.891097i | \(-0.649937\pi\) |
−0.970631 | + | 0.240575i | \(0.922664\pi\) | |||||||
\(98\) | 4.43648 | − | 5.41457i | 0.448152 | − | 0.546955i | ||||
\(99\) | 17.4173 | − | 5.99592i | 1.75051 | − | 0.602612i | ||||
\(100\) | 3.36060 | + | 1.73251i | 0.336060 | + | 0.173251i | ||||
\(101\) | −16.6487 | − | 1.58976i | −1.65661 | − | 0.158187i | −0.775580 | − | 0.631250i | \(-0.782542\pi\) |
−0.881029 | + | 0.473063i | \(0.843148\pi\) | |||||||
\(102\) | 9.02928 | − | 10.4029i | 0.894032 | − | 1.03004i | ||||
\(103\) | 1.08738 | − | 5.64186i | 0.107143 | − | 0.555909i | −0.888196 | − | 0.459465i | \(-0.848041\pi\) |
0.995338 | − | 0.0964438i | \(-0.0307468\pi\) | |||||||
\(104\) | −0.0630429 | + | 0.0727554i | −0.00618187 | + | 0.00713426i | ||||
\(105\) | −10.3584 | + | 8.78076i | −1.01088 | + | 0.856914i | ||||
\(106\) | −1.61903 | − | 3.54518i | −0.157254 | − | 0.344338i | ||||
\(107\) | 4.19963 | − | 8.14614i | 0.405993 | − | 0.787517i | −0.593861 | − | 0.804567i | \(-0.702397\pi\) |
0.999855 | + | 0.0170504i | \(0.00542759\pi\) | |||||||
\(108\) | 3.22218 | − | 4.07646i | 0.310055 | − | 0.392258i | ||||
\(109\) | 10.5130 | + | 4.20876i | 1.00696 | + | 0.403127i | 0.815739 | − | 0.578420i | \(-0.196331\pi\) |
0.191222 | + | 0.981547i | \(0.438755\pi\) | |||||||
\(110\) | −18.1125 | + | 1.72953i | −1.72696 | + | 0.164905i | ||||
\(111\) | 0.648197 | + | 0.462389i | 0.0615242 | + | 0.0438880i | ||||
\(112\) | 1.75254 | − | 1.98207i | 0.165600 | − | 0.187288i | ||||
\(113\) | −8.12230 | + | 7.03801i | −0.764082 | + | 0.662081i | −0.947067 | − | 0.321035i | \(-0.895969\pi\) |
0.182986 | + | 0.983116i | \(0.441424\pi\) | |||||||
\(114\) | −3.72167 | + | 0.174197i | −0.348566 | + | 0.0163150i | ||||
\(115\) | −11.8665 | + | 7.81959i | −1.10656 | + | 0.729180i | ||||
\(116\) | 2.16482 | + | 1.24986i | 0.200999 | + | 0.116047i | ||||
\(117\) | 0.0809075 | + | 0.277243i | 0.00747990 | + | 0.0256311i | ||||
\(118\) | −6.30944 | + | 9.81768i | −0.580831 | + | 0.903791i | ||||
\(119\) | −4.75564 | − | 20.4971i | −0.435948 | − | 1.87897i | ||||
\(120\) | −4.03705 | + | 3.16937i | −0.368531 | + | 0.289322i | ||||
\(121\) | 20.9889 | − | 16.5058i | 1.90808 | − | 1.50053i | ||||
\(122\) | 0.423370 | − | 0.403683i | 0.0383301 | − | 0.0365477i | ||||
\(123\) | 5.69073 | + | 2.60457i | 0.513116 | + | 0.234846i | ||||
\(124\) | −0.854477 | − | 0.608470i | −0.0767343 | − | 0.0546423i | ||||
\(125\) | 3.46617 | − | 1.01776i | 0.310024 | − | 0.0910312i | ||||
\(126\) | −2.14713 | − | 7.64133i | −0.191281 | − | 0.680743i | ||||
\(127\) | 8.54086 | − | 9.85667i | 0.757879 | − | 0.874638i | −0.237429 | − | 0.971405i | \(-0.576305\pi\) |
0.995307 | + | 0.0967666i | \(0.0308500\pi\) | |||||||
\(128\) | 0.690079 | − | 0.723734i | 0.0609949 | − | 0.0639697i | ||||
\(129\) | −4.31649 | + | 6.70438i | −0.380046 | + | 0.590288i | ||||
\(130\) | −0.0135737 | − | 0.284947i | −0.00119049 | − | 0.0249915i | ||||
\(131\) | −1.60600 | − | 6.62000i | −0.140316 | − | 0.578392i | −0.997942 | − | 0.0641183i | \(-0.979577\pi\) |
0.857626 | − | 0.514274i | \(-0.171939\pi\) | |||||||
\(132\) | 3.48671 | − | 10.0473i | 0.303479 | − | 0.874502i | ||||
\(133\) | −3.12469 | + | 4.75665i | −0.270945 | + | 0.412454i | ||||
\(134\) | 8.39377 | + | 1.20684i | 0.725111 | + | 0.104255i | ||||
\(135\) | 1.42555 | + | 15.3314i | 0.122692 | + | 1.31952i | ||||
\(136\) | −1.50511 | − | 7.80924i | −0.129062 | − | 0.669637i | ||||
\(137\) | −12.3559 | − | 7.13368i | −1.05564 | − | 0.609471i | −0.131414 | − | 0.991328i | \(-0.541952\pi\) |
−0.924222 | + | 0.381856i | \(0.875285\pi\) | |||||||
\(138\) | −1.26942 | − | 8.20905i | −0.108061 | − | 0.698801i | ||||
\(139\) | − | 0.940850i | − | 0.0798019i | −0.999204 | − | 0.0399009i | \(-0.987296\pi\) | ||
0.999204 | − | 0.0399009i | \(-0.0127042\pi\) | |||||||
\(140\) | 0.294574 | + | 7.83451i | 0.0248960 | + | 0.662137i | ||||
\(141\) | 1.72800 | − | 0.995754i | 0.145524 | − | 0.0838576i | ||||
\(142\) | −12.7641 | + | 5.10996i | −1.07114 | + | 0.428818i | ||||
\(143\) | 0.342877 | + | 0.481503i | 0.0286728 | + | 0.0402653i | ||||
\(144\) | −0.702448 | − | 2.91660i | −0.0585373 | − | 0.243050i | ||||
\(145\) | −7.19851 | + | 1.74634i | −0.597804 | + | 0.145026i | ||||
\(146\) | −4.91351 | + | 3.15772i | −0.406645 | + | 0.261335i | ||||
\(147\) | −11.3723 | − | 4.20366i | −0.937972 | − | 0.346712i | ||||
\(148\) | 0.441076 | − | 0.129512i | 0.0362562 | − | 0.0106458i | ||||
\(149\) | −2.46081 | + | 12.7679i | −0.201598 | + | 1.04599i | 0.730261 | + | 0.683168i | \(0.239398\pi\) |
−0.931859 | + | 0.362821i | \(0.881814\pi\) | |||||||
\(150\) | 0.937346 | − | 6.48128i | 0.0765340 | − | 0.529195i | ||||
\(151\) | 4.40869 | − | 18.1729i | 0.358774 | − | 1.47889i | −0.451200 | − | 0.892423i | \(-0.649004\pi\) |
0.809975 | − | 0.586465i | \(-0.199481\pi\) | |||||||
\(152\) | −1.24774 | + | 1.75220i | −0.101205 | + | 0.142122i | ||||
\(153\) | −22.1351 | − | 8.90412i | −1.78952 | − | 0.719855i | ||||
\(154\) | −9.29018 | − | 13.3268i | −0.748624 | − | 1.07390i | ||||
\(155\) | 3.07677 | − | 0.442373i | 0.247132 | − | 0.0355323i | ||||
\(156\) | 0.154748 | + | 0.0621003i | 0.0123897 | + | 0.00497200i | ||||
\(157\) | 4.22816 | − | 5.37655i | 0.337444 | − | 0.429095i | −0.587485 | − | 0.809235i | \(-0.699882\pi\) |
0.924929 | + | 0.380140i | \(0.124124\pi\) | |||||||
\(158\) | −4.77947 | − | 9.27088i | −0.380234 | − | 0.737552i | ||||
\(159\) | −4.88939 | + | 4.65430i | −0.387754 | + | 0.369110i | ||||
\(160\) | 2.96326i | 0.234266i | ||||||||
\(161\) | −11.2864 | − | 5.79808i | −0.889491 | − | 0.456953i | ||||
\(162\) | −8.49521 | − | 2.97176i | −0.667447 | − | 0.233484i | ||||
\(163\) | −0.289325 | + | 0.835950i | −0.0226617 | + | 0.0654767i | −0.955764 | − | 0.294133i | \(-0.904969\pi\) |
0.933103 | + | 0.359610i | \(0.117090\pi\) | |||||||
\(164\) | 3.21164 | − | 1.65572i | 0.250787 | − | 0.129290i | ||||
\(165\) | 13.0678 | + | 28.6774i | 1.01733 | + | 2.23253i | ||||
\(166\) | 0.313130 | + | 3.27924i | 0.0243036 | + | 0.254518i | ||||
\(167\) | 2.31863 | + | 16.1264i | 0.179421 | + | 1.24790i | 0.858107 | + | 0.513471i | \(0.171641\pi\) |
−0.678686 | + | 0.734428i | \(0.737450\pi\) | |||||||
\(168\) | −4.23559 | − | 1.74921i | −0.326783 | − | 0.134955i | ||||
\(169\) | 10.9285 | − | 7.02332i | 0.840654 | − | 0.540255i | ||||
\(170\) | 19.1968 | + | 13.6700i | 1.47233 | + | 1.04844i | ||||
\(171\) | 2.38848 | + | 5.99489i | 0.182652 | + | 0.458441i | ||||
\(172\) | 1.50571 | + | 4.35046i | 0.114809 | + | 0.331719i | ||||
\(173\) | 19.9797 | + | 3.85078i | 1.51903 | + | 0.292769i | 0.879464 | − | 0.475965i | \(-0.157901\pi\) |
0.639568 | + | 0.768735i | \(0.279113\pi\) | |||||||
\(174\) | 0.822910 | − | 4.25072i | 0.0623846 | − | 0.322246i | ||||
\(175\) | −7.17023 | − | 6.97527i | −0.542019 | − | 0.527281i | ||||
\(176\) | −3.31962 | − | 5.16543i | −0.250226 | − | 0.389359i | ||||
\(177\) | 19.6398 | + | 4.78179i | 1.47622 | + | 0.359421i | ||||
\(178\) | 3.62982 | − | 9.06686i | 0.272067 | − | 0.679590i | ||||
\(179\) | 2.95073 | − | 2.10121i | 0.220548 | − | 0.157052i | −0.464443 | − | 0.885603i | \(-0.653745\pi\) |
0.684991 | + | 0.728551i | \(0.259806\pi\) | |||||||
\(180\) | 7.47059 | + | 4.81855i | 0.556825 | + | 0.359154i | ||||
\(181\) | 12.6068 | − | 19.6166i | 0.937057 | − | 1.45809i | 0.0487650 | − | 0.998810i | \(-0.484471\pi\) |
0.888292 | − | 0.459279i | \(-0.151892\pi\) | |||||||
\(182\) | 0.215640 | − | 0.135550i | 0.0159843 | − | 0.0100476i | ||||
\(183\) | −0.900197 | − | 0.465028i | −0.0665445 | − | 0.0343758i | ||||
\(184\) | −4.18050 | − | 2.35020i | −0.308190 | − | 0.173259i | ||||
\(185\) | −0.681100 | + | 1.17970i | −0.0500755 | + | 0.0867333i | ||||
\(186\) | −0.513321 | + | 1.74287i | −0.0376385 | + | 0.127794i | ||||
\(187\) | −48.7771 | − | 2.32354i | −3.56694 | − | 0.169914i | ||||
\(188\) | 0.163868 | − | 1.13973i | 0.0119513 | − | 0.0831233i | ||||
\(189\) | −11.2974 | + | 7.83384i | −0.821764 | + | 0.569828i | ||||
\(190\) | −0.907136 | − | 6.30927i | −0.0658105 | − | 0.457722i | ||||
\(191\) | 16.0406 | − | 3.89141i | 1.16066 | − | 0.281572i | 0.391221 | − | 0.920297i | \(-0.372053\pi\) |
0.769436 | + | 0.638724i | \(0.220538\pi\) | |||||||
\(192\) | −1.57493 | − | 0.720824i | −0.113661 | − | 0.0520210i | ||||
\(193\) | 6.65805 | + | 0.635766i | 0.479257 | + | 0.0457635i | 0.331889 | − | 0.943318i | \(-0.392314\pi\) |
0.147367 | + | 0.989082i | \(0.452920\pi\) | |||||||
\(194\) | 11.1621 | + | 10.6430i | 0.801390 | + | 0.764124i | ||||
\(195\) | −0.458861 | + | 0.183260i | −0.0328597 | + | 0.0131235i | ||||
\(196\) | −5.96341 | + | 3.66575i | −0.425958 | + | 0.261839i | ||||
\(197\) | 1.98109 | + | 6.74698i | 0.141147 | + | 0.480702i | 0.999475 | − | 0.0323990i | \(-0.0103147\pi\) |
−0.858328 | + | 0.513101i | \(0.828497\pi\) | |||||||
\(198\) | −18.4205 | − | 0.0305032i | −1.30908 | − | 0.00216777i | ||||
\(199\) | −15.7203 | + | 0.748849i | −1.11438 | + | 0.0530845i | −0.596682 | − | 0.802478i | \(-0.703514\pi\) |
−0.517699 | + | 0.855563i | \(0.673211\pi\) | |||||||
\(200\) | −2.60912 | − | 2.73637i | −0.184493 | − | 0.193490i | ||||
\(201\) | −2.76777 | − | 14.4248i | −0.195223 | − | 1.01745i | ||||
\(202\) | 15.2131 | + | 6.94758i | 1.07039 | + | 0.488830i | ||||
\(203\) | −4.51575 | − | 4.83199i | −0.316944 | − | 0.339140i | ||||
\(204\) | −11.9351 | + | 6.87759i | −0.835627 | + | 0.481527i | ||||
\(205\) | −3.50198 | + | 10.1183i | −0.244589 | + | 0.706693i | ||||
\(206\) | −2.87285 | + | 4.97592i | −0.200161 | + | 0.346688i | ||||
\(207\) | −12.7229 | + | 6.71766i | −0.884305 | + | 0.466910i | ||||
\(208\) | 0.0833716 | − | 0.0481346i | 0.00578078 | − | 0.00333753i | ||||
\(209\) | 8.64930 | + | 9.98183i | 0.598285 | + | 0.690457i | ||||
\(210\) | 12.6606 | − | 4.90991i | 0.873667 | − | 0.338816i | ||||
\(211\) | −3.55627 | + | 24.7344i | −0.244824 | + | 1.70279i | 0.382440 | + | 0.923980i | \(0.375084\pi\) |
−0.627264 | + | 0.778807i | \(0.715825\pi\) | |||||||
\(212\) | 0.370470 | + | 3.87973i | 0.0254440 | + | 0.266461i | ||||
\(213\) | 15.5798 | + | 18.0102i | 1.06751 | + | 1.23404i | ||||
\(214\) | −6.63299 | + | 6.32454i | −0.453422 | + | 0.432337i | ||||
\(215\) | −12.1253 | − | 6.25104i | −0.826941 | − | 0.426318i | ||||
\(216\) | −4.37825 | + | 2.79839i | −0.297902 | + | 0.190406i | ||||
\(217\) | 1.69367 | + | 2.19865i | 0.114974 | + | 0.149254i | ||||
\(218\) | −8.55823 | − | 7.41575i | −0.579636 | − | 0.502258i | ||||
\(219\) | 7.94683 | + | 6.26011i | 0.536997 | + | 0.423019i | ||||
\(220\) | 17.6820 | + | 4.28961i | 1.19212 | + | 0.289205i | ||||
\(221\) | 0.0727773 | − | 0.762158i | 0.00489553 | − | 0.0512683i | ||||
\(222\) | −0.461315 | − | 0.648962i | −0.0309614 | − | 0.0435555i | ||||
\(223\) | 4.71616 | − | 16.0618i | 0.315817 | − | 1.07558i | −0.636705 | − | 0.771107i | \(-0.719703\pi\) |
0.952523 | − | 0.304468i | \(-0.0984787\pi\) | |||||||
\(224\) | −2.30443 | + | 1.29986i | −0.153971 | + | 0.0868502i | ||||
\(225\) | −11.1413 | + | 2.12818i | −0.742751 | + | 0.141878i | ||||
\(226\) | 9.97749 | − | 3.99438i | 0.663693 | − | 0.265702i | ||||
\(227\) | −17.0541 | + | 8.79197i | −1.13192 | + | 0.583544i | −0.919287 | − | 0.393589i | \(-0.871233\pi\) |
−0.212631 | + | 0.977133i | \(0.568203\pi\) | |||||||
\(228\) | 3.57396 | + | 1.05262i | 0.236691 | + | 0.0697117i | ||||
\(229\) | −5.73165 | + | 3.30917i | −0.378758 | + | 0.218676i | −0.677278 | − | 0.735727i | \(-0.736840\pi\) |
0.298520 | + | 0.954403i | \(0.403507\pi\) | |||||||
\(230\) | 13.7714 | − | 3.50835i | 0.908061 | − | 0.231334i | ||||
\(231\) | −16.5691 | + | 22.7420i | −1.09017 | + | 1.49631i | ||||
\(232\) | −1.63697 | − | 1.88916i | −0.107472 | − | 0.124030i | ||||
\(233\) | −16.9194 | − | 0.805970i | −1.10843 | − | 0.0528008i | −0.514627 | − | 0.857414i | \(-0.672070\pi\) |
−0.593799 | + | 0.804613i | \(0.702373\pi\) | |||||||
\(234\) | 0.0142197 | − | 0.288457i | 0.000929571 | − | 0.0188570i | ||||
\(235\) | 1.97918 | + | 2.77937i | 0.129107 | + | 0.181306i | ||||
\(236\) | 9.17347 | − | 7.21410i | 0.597142 | − | 0.469598i | ||||
\(237\) | −12.4777 | + | 13.0646i | −0.810516 | + | 0.848637i | ||||
\(238\) | −2.20986 | + | 20.9252i | −0.143244 | + | 1.35638i | ||||
\(239\) | 4.57951 | − | 2.09139i | 0.296224 | − | 0.135281i | −0.261759 | − | 0.965133i | \(-0.584303\pi\) |
0.557983 | + | 0.829852i | \(0.311575\pi\) | |||||||
\(240\) | 4.85162 | − | 1.67466i | 0.313171 | − | 0.108099i | ||||
\(241\) | 1.40297 | − | 0.485573i | 0.0903733 | − | 0.0312785i | −0.281507 | − | 0.959559i | \(-0.590834\pi\) |
0.371880 | + | 0.928281i | \(0.378713\pi\) | |||||||
\(242\) | −25.2330 | + | 8.73323i | −1.62204 | + | 0.561393i | ||||
\(243\) | −0.0645336 | + | 15.5883i | −0.00413983 | + | 0.999991i | ||||
\(244\) | −0.532117 | + | 0.243010i | −0.0340653 | + | 0.0155571i | ||||
\(245\) | 5.29318 | − | 20.0561i | 0.338169 | − | 1.28134i | ||||
\(246\) | −4.52587 | − | 4.32257i | −0.288559 | − | 0.275597i | ||||
\(247\) | −0.162777 | + | 0.128009i | −0.0103572 | + | 0.00814501i | ||||
\(248\) | 0.608470 | + | 0.854477i | 0.0386379 | + | 0.0542594i | ||||
\(249\) | 5.19200 | − | 2.36591i | 0.329030 | − | 0.149934i | ||||
\(250\) | −3.60841 | − | 0.171890i | −0.228216 | − | 0.0108713i | ||||
\(251\) | −7.78532 | − | 8.98474i | −0.491405 | − | 0.567112i | 0.454835 | − | 0.890576i | \(-0.349698\pi\) |
−0.946241 | + | 0.323464i | \(0.895153\pi\) | |||||||
\(252\) | −0.470196 | + | 7.92331i | −0.0296196 | + | 0.499122i | ||||
\(253\) | −20.0755 | + | 21.5432i | −1.26214 | + | 1.35441i | ||||
\(254\) | −11.2949 | + | 6.52112i | −0.708706 | + | 0.409172i | ||||
\(255\) | 11.5324 | − | 39.1557i | 0.722185 | − | 2.45203i | ||||
\(256\) | −0.888835 | + | 0.458227i | −0.0555522 | + | 0.0286392i | ||||
\(257\) | 8.11948 | − | 3.25055i | 0.506479 | − | 0.202764i | −0.104328 | − | 0.994543i | \(-0.533269\pi\) |
0.610807 | + | 0.791779i | \(0.290845\pi\) | |||||||
\(258\) | 6.27188 | − | 4.92386i | 0.390470 | − | 0.306546i | ||||
\(259\) | −1.21618 | − | 0.0121842i | −0.0755699 | − | 0.000757089i | ||||
\(260\) | −0.0803700 | + | 0.273715i | −0.00498434 | + | 0.0169751i | ||||
\(261\) | −7.42458 | + | 1.05495i | −0.459570 | + | 0.0652997i | ||||
\(262\) | −0.647524 | + | 6.78118i | −0.0400042 | + | 0.418943i | ||||
\(263\) | −18.4252 | − | 4.46989i | −1.13614 | − | 0.275625i | −0.376787 | − | 0.926300i | \(-0.622971\pi\) |
−0.759357 | + | 0.650675i | \(0.774486\pi\) | |||||||
\(264\) | −6.58108 | + | 8.35428i | −0.405038 | + | 0.514171i | ||||
\(265\) | −8.72811 | − | 7.56295i | −0.536164 | − | 0.464588i | ||||
\(266\) | 4.50858 | − | 3.47305i | 0.276439 | − | 0.212947i | ||||
\(267\) | −16.8962 | − | 0.818885i | −1.03403 | − | 0.0501149i | ||||
\(268\) | −7.53740 | − | 3.88580i | −0.460420 | − | 0.237363i | ||||
\(269\) | −2.75167 | + | 2.62371i | −0.167772 | + | 0.159970i | −0.769314 | − | 0.638871i | \(-0.779402\pi\) |
0.601542 | + | 0.798841i | \(0.294553\pi\) | |||||||
\(270\) | 3.66727 | − | 14.9544i | 0.223183 | − | 0.910099i | ||||
\(271\) | −2.41373 | − | 25.2777i | −0.146624 | − | 1.53551i | −0.706964 | − | 0.707249i | \(-0.749936\pi\) |
0.560341 | − | 0.828262i | \(-0.310670\pi\) | |||||||
\(272\) | −1.13182 | + | 7.87201i | −0.0686269 | + | 0.477311i | ||||
\(273\) | −0.343798 | − | 0.276453i | −0.0208076 | − | 0.0167317i | ||||
\(274\) | 9.34313 | + | 10.7826i | 0.564439 | + | 0.651398i | ||||
\(275\) | −20.1051 | + | 11.6077i | −1.21238 | + | 0.699969i | ||||
\(276\) | −1.48531 | + | 8.17275i | −0.0894052 | + | 0.491942i | ||||
\(277\) | 1.72940 | − | 2.99541i | 0.103909 | − | 0.179976i | −0.809383 | − | 0.587282i | \(-0.800198\pi\) |
0.913292 | + | 0.407305i | \(0.133531\pi\) | |||||||
\(278\) | −0.307722 | + | 0.889104i | −0.0184559 | + | 0.0533249i | ||||
\(279\) | 3.14363 | − | 0.144533i | 0.188204 | − | 0.00865294i | ||||
\(280\) | 2.28404 | − | 7.49996i | 0.136498 | − | 0.448209i | ||||
\(281\) | −7.91393 | − | 3.61417i | −0.472105 | − | 0.215603i | 0.165131 | − | 0.986272i | \(-0.447195\pi\) |
−0.637236 | + | 0.770668i | \(0.719923\pi\) | |||||||
\(282\) | −1.95864 | + | 0.375815i | −0.116635 | + | 0.0223795i | ||||
\(283\) | −3.90017 | − | 4.09039i | −0.231841 | − | 0.243148i | 0.597529 | − | 0.801847i | \(-0.296149\pi\) |
−0.829371 | + | 0.558699i | \(0.811301\pi\) | |||||||
\(284\) | 13.7333 | − | 0.654200i | 0.814924 | − | 0.0388196i | ||||
\(285\) | −9.81724 | + | 5.05085i | −0.581523 | + | 0.299187i | ||||
\(286\) | −0.166534 | − | 0.567164i | −0.00984739 | − | 0.0335371i | ||||
\(287\) | −9.40483 | + | 1.71510i | −0.555150 | + | 0.101239i | ||||
\(288\) | −0.290113 | + | 2.98594i | −0.0170951 | + | 0.175948i | ||||
\(289\) | 33.4724 | + | 31.9159i | 1.96896 | + | 1.87740i | ||||
\(290\) | 7.37377 | + | 0.704110i | 0.433003 | + | 0.0413468i | ||||
\(291\) | 11.1172 | − | 24.2900i | 0.651701 | − | 1.42391i | ||||
\(292\) | 5.67606 | − | 1.37700i | 0.332166 | − | 0.0805826i | ||||
\(293\) | −0.811149 | − | 5.64167i | −0.0473879 | − | 0.329590i | −0.999701 | − | 0.0244663i | \(-0.992211\pi\) |
0.952313 | − | 0.305123i | \(-0.0986977\pi\) | |||||||
\(294\) | 9.37195 | + | 7.69198i | 0.546583 | + | 0.448605i | ||||
\(295\) | −4.92155 | + | 34.2301i | −0.286544 | + | 1.99295i | ||||
\(296\) | −0.459176 | − | 0.0218732i | −0.0266891 | − | 0.00127136i | ||||
\(297\) | 10.3602 | + | 30.1763i | 0.601163 | + | 1.75101i | ||||
\(298\) | 6.50145 | − | 11.2608i | 0.376619 | − | 0.652323i | ||||
\(299\) | −0.322408 | − | 0.330472i | −0.0186453 | − | 0.0191117i | ||||
\(300\) | −3.00561 | + | 5.81824i | −0.173529 | + | 0.335916i | ||||
\(301\) | −0.457644 | − | 12.1715i | −0.0263781 | − | 0.701555i | ||||
\(302\) | −10.1100 | + | 15.7314i | −0.581764 | + | 0.905243i | ||||
\(303\) | 2.77742 | − | 28.8341i | 0.159558 | − | 1.65648i | ||||
\(304\) | 1.75220 | − | 1.24774i | 0.100496 | − | 0.0715626i | ||||
\(305\) | 0.644258 | − | 1.60928i | 0.0368901 | − | 0.0921470i | ||||
\(306\) | 18.0054 | + | 15.6541i | 1.02930 | + | 0.894884i | ||||
\(307\) | −3.05618 | − | 4.75551i | −0.174425 | − | 0.271411i | 0.743023 | − | 0.669266i | \(-0.233391\pi\) |
−0.917449 | + | 0.397854i | \(0.869755\pi\) | |||||||
\(308\) | 4.42046 | + | 15.6324i | 0.251879 | + | 0.890736i | ||||
\(309\) | 9.77043 | + | 1.89149i | 0.555820 | + | 0.107603i | ||||
\(310\) | −3.05224 | − | 0.588271i | −0.173355 | − | 0.0334115i | ||||
\(311\) | −8.16857 | − | 23.6015i | −0.463197 | − | 1.33832i | −0.898870 | − | 0.438215i | \(-0.855611\pi\) |
0.435673 | − | 0.900105i | \(-0.356510\pi\) | |||||||
\(312\) | −0.125926 | − | 0.109298i | −0.00712913 | − | 0.00618777i | ||||
\(313\) | −0.861124 | − | 0.613203i | −0.0486736 | − | 0.0346603i | 0.555461 | − | 0.831542i | \(-0.312542\pi\) |
−0.604135 | + | 0.796882i | \(0.706481\pi\) | |||||||
\(314\) | −5.75412 | + | 3.69795i | −0.324724 | + | 0.208687i | ||||
\(315\) | −15.1939 | − | 17.9539i | −0.856077 | − | 1.01159i | ||||
\(316\) | 1.48440 | + | 10.3242i | 0.0835038 | + | 0.580782i | ||||
\(317\) | 2.33833 | + | 24.4881i | 0.131334 | + | 1.37539i | 0.785418 | + | 0.618966i | \(0.212448\pi\) |
−0.654084 | + | 0.756422i | \(0.726946\pi\) | |||||||
\(318\) | 6.14275 | − | 2.79916i | 0.344469 | − | 0.156969i | ||||
\(319\) | −13.6424 | + | 7.03317i | −0.763831 | + | 0.393782i | ||||
\(320\) | 0.969187 | − | 2.80028i | 0.0541792 | − | 0.156541i | ||||
\(321\) | 14.1035 | + | 7.28565i | 0.787180 | + | 0.406645i | ||||
\(322\) | 8.76926 | + | 9.17061i | 0.488692 | + | 0.511058i | ||||
\(323\) | − | 17.1073i | − | 0.951875i | ||||||
\(324\) | 7.05601 | + | 5.58683i | 0.392001 | + | 0.310379i | ||||
\(325\) | −0.166787 | − | 0.323522i | −0.00925170 | − | 0.0179458i | ||||
\(326\) | 0.546825 | − | 0.695344i | 0.0302858 | − | 0.0385116i | ||||
\(327\) | −7.30487 | + | 18.2030i | −0.403960 | + | 1.00663i | ||||
\(328\) | −3.57654 | + | 0.514229i | −0.197481 | + | 0.0283935i | ||||
\(329\) | −1.29324 | + | 2.75833i | −0.0712985 | + | 0.152072i | ||||
\(330\) | −2.96966 | − | 31.3742i | −0.163475 | − | 1.72709i | ||||
\(331\) | −5.89616 | + | 8.27999i | −0.324082 | + | 0.455110i | −0.944187 | − | 0.329409i | \(-0.893151\pi\) |
0.620105 | + | 0.784519i | \(0.287090\pi\) | |||||||
\(332\) | 0.776627 | − | 3.20130i | 0.0426229 | − | 0.175694i | ||||
\(333\) | −0.801810 | + | 1.12205i | −0.0439389 | + | 0.0614878i | ||||
\(334\) | 3.08333 | − | 15.9978i | 0.168712 | − | 0.875362i | ||||
\(335\) | 24.1108 | − | 7.07957i | 1.31731 | − | 0.386798i | ||||
\(336\) | 3.43053 | + | 3.03833i | 0.187151 | + | 0.165755i | ||||
\(337\) | 7.86228 | − | 5.05278i | 0.428286 | − | 0.275243i | −0.308689 | − | 0.951163i | \(-0.599890\pi\) |
0.736975 | + | 0.675921i | \(0.236254\pi\) | |||||||
\(338\) | −12.6245 | + | 3.06268i | −0.686685 | + | 0.166588i | ||||
\(339\) | −12.1785 | − | 14.0783i | −0.661448 | − | 0.764630i | ||||
\(340\) | −13.6700 | − | 19.1968i | −0.741361 | − | 1.04110i | ||||
\(341\) | 5.97955 | − | 2.39385i | 0.323811 | − | 0.129634i | ||||
\(342\) | −0.296380 | − | 6.44637i | −0.0160264 | − | 0.348580i | ||||
\(343\) | 17.9188 | − | 4.68142i | 0.967526 | − | 0.252773i | ||||
\(344\) | − | 4.60365i | − | 0.248212i | ||||||
\(345\) | −13.5269 | − | 20.5647i | −0.728264 | − | 1.10716i | ||||
\(346\) | −17.6214 | − | 10.1737i | −0.947333 | − | 0.546943i | ||||
\(347\) | −3.90298 | − | 20.2506i | −0.209523 | − | 1.08711i | −0.922523 | − | 0.385943i | \(-0.873876\pi\) |
0.713000 | − | 0.701164i | \(-0.247336\pi\) | |||||||
\(348\) | −2.16792 | + | 3.74779i | −0.116213 | + | 0.200902i | ||||
\(349\) | 3.21391 | + | 0.462090i | 0.172037 | + | 0.0247351i | 0.227795 | − | 0.973709i | \(-0.426848\pi\) |
−0.0557582 | + | 0.998444i | \(0.517758\pi\) | |||||||
\(350\) | 4.49449 | + | 8.93679i | 0.240240 | + | 0.477691i | ||||
\(351\) | −0.480315 | + | 0.139738i | −0.0256373 | + | 0.00745868i | ||||
\(352\) | 1.44760 | + | 5.96708i | 0.0771572 | + | 0.318046i | ||||
\(353\) | 0.955831 | + | 20.0654i | 0.0508738 | + | 1.06797i | 0.869590 | + | 0.493774i | \(0.164383\pi\) |
−0.818717 | + | 0.574198i | \(0.805314\pi\) | |||||||
\(354\) | −16.9957 | − | 10.9423i | −0.903309 | − | 0.581579i | ||||
\(355\) | −28.1149 | + | 29.4861i | −1.49219 | + | 1.56496i | ||||
\(356\) | −6.39566 | + | 7.38099i | −0.338969 | + | 0.391192i | ||||
\(357\) | 35.5088 | − | 8.20760i | 1.87933 | − | 0.434392i | ||||
\(358\) | −3.47568 | + | 1.02055i | −0.183695 | + | 0.0539379i | ||||
\(359\) | 28.1962 | + | 20.0784i | 1.48814 | + | 1.05970i | 0.980133 | + | 0.198343i | \(0.0635561\pi\) |
0.508005 | + | 0.861354i | \(0.330383\pi\) | |||||||
\(360\) | −5.48372 | − | 6.99693i | −0.289017 | − | 0.368770i | ||||
\(361\) | 10.4022 | − | 9.91847i | 0.547484 | − | 0.522025i | ||||
\(362\) | −18.3294 | + | 14.4144i | −0.963372 | + | 0.757604i | ||||
\(363\) | 28.5588 | + | 36.3774i | 1.49895 | + | 1.90932i | ||||
\(364\) | −0.248114 | + | 0.0575661i | −0.0130047 | + | 0.00301729i | ||||
\(365\) | −9.35714 | + | 14.5600i | −0.489775 | + | 0.762105i | ||||
\(366\) | 0.698591 | + | 0.733877i | 0.0365160 | + | 0.0383604i | ||||
\(367\) | −4.23709 | − | 2.44629i | −0.221174 | − | 0.127695i | 0.385319 | − | 0.922783i | \(-0.374091\pi\) |
−0.606494 | + | 0.795088i | \(0.707425\pi\) | |||||||
\(368\) | 3.18190 | + | 3.58825i | 0.165868 | + | 0.187050i | ||||
\(369\) | −4.51940 | + | 9.85290i | −0.235271 | + | 0.512921i | ||||
\(370\) | 1.02948 | − | 0.892051i | 0.0535202 | − | 0.0463755i | ||||
\(371\) | 2.05280 | − | 10.1051i | 0.106576 | − | 0.524631i | ||||
\(372\) | 1.05513 | − | 1.47912i | 0.0547058 | − | 0.0766890i | ||||
\(373\) | −13.2248 | + | 1.26281i | −0.684752 | + | 0.0653859i | −0.431633 | − | 0.902049i | \(-0.642062\pi\) |
−0.253119 | + | 0.967435i | \(0.581456\pi\) | |||||||
\(374\) | 45.3345 | + | 18.1492i | 2.34419 | + | 0.938472i | ||||
\(375\) | 1.75784 | + | 6.00504i | 0.0907744 | + | 0.310099i | ||||
\(376\) | −0.527624 | + | 1.02345i | −0.0272102 | + | 0.0527803i | ||||
\(377\) | −0.0999680 | − | 0.218899i | −0.00514861 | − | 0.0112739i | ||||
\(378\) | 13.2382 | − | 3.70797i | 0.680901 | − | 0.190718i | ||||
\(379\) | 2.02782 | − | 2.34022i | 0.104162 | − | 0.120209i | −0.701275 | − | 0.712891i | \(-0.747385\pi\) |
0.805437 | + | 0.592682i | \(0.201931\pi\) | |||||||
\(380\) | −1.20632 | + | 6.25896i | −0.0618827 | + | 0.321078i | ||||
\(381\) | 17.0600 | + | 14.8073i | 0.874011 | + | 0.758602i | ||||
\(382\) | −16.4311 | − | 1.56898i | −0.840690 | − | 0.0802761i | ||||
\(383\) | 21.6092 | + | 11.1403i | 1.10418 | + | 0.569244i | 0.911202 | − | 0.411959i | \(-0.135155\pi\) |
0.192977 | + | 0.981203i | \(0.438186\pi\) | |||||||
\(384\) | 1.25255 | + | 1.19629i | 0.0639191 | + | 0.0610479i | ||||
\(385\) | −41.4465 | − | 24.4860i | −2.11231 | − | 1.24792i | ||||
\(386\) | −6.08392 | − | 2.77843i | −0.309663 | − | 0.141419i | ||||
\(387\) | −11.6061 | − | 7.48600i | −0.589973 | − | 0.380535i | ||||
\(388\) | −7.06718 | − | 13.7084i | −0.358781 | − | 0.695939i | ||||
\(389\) | −5.20916 | − | 27.0277i | −0.264115 | − | 1.37036i | −0.835416 | − | 0.549617i | \(-0.814773\pi\) |
0.571302 | − | 0.820740i | \(-0.306439\pi\) | |||||||
\(390\) | 0.493563 | − | 0.0231017i | 0.0249925 | − | 0.00116980i | ||||
\(391\) | 37.9243 | − | 4.06004i | 1.91792 | − | 0.205325i | ||||
\(392\) | 6.83438 | − | 1.51369i | 0.345188 | − | 0.0764529i | ||||
\(393\) | 11.4685 | − | 2.77217i | 0.578508 | − | 0.139838i | ||||
\(394\) | 0.334587 | − | 7.02385i | 0.0168563 | − | 0.353857i | ||||
\(395\) | −24.2952 | − | 19.1060i | −1.22243 | − | 0.961326i | ||||
\(396\) | 17.3974 | + | 6.05357i | 0.874251 | + | 0.304203i | ||||
\(397\) | −3.95173 | − | 5.02504i | −0.198332 | − | 0.252199i | 0.676707 | − | 0.736253i | \(-0.263407\pi\) |
−0.875039 | + | 0.484053i | \(0.839164\pi\) | |||||||
\(398\) | 15.1006 | + | 4.43394i | 0.756925 | + | 0.222253i | ||||
\(399\) | −8.23428 | − | 5.41894i | −0.412230 | − | 0.271286i | ||||
\(400\) | 1.57064 | + | 3.43923i | 0.0785322 | + | 0.171961i | ||||
\(401\) | 20.0946 | − | 21.0746i | 1.00348 | − | 1.05242i | 0.00485091 | − | 0.999988i | \(-0.498456\pi\) |
0.998625 | − | 0.0524268i | \(-0.0166956\pi\) | |||||||
\(402\) | −2.10235 | + | 14.5367i | −0.104856 | + | 0.725024i | ||||
\(403\) | 0.0330289 | + | 0.0954308i | 0.00164529 | + | 0.00475375i | ||||
\(404\) | −12.1040 | − | 11.5412i | −0.602199 | − | 0.574195i | ||||
\(405\) | −26.5568 | + | 2.44714i | −1.31962 | + | 0.121599i | ||||
\(406\) | 2.68700 | + | 6.04320i | 0.133353 | + | 0.299919i | ||||
\(407\) | −0.795221 | + | 2.70828i | −0.0394177 | + | 0.134244i | ||||
\(408\) | 13.5282 | − | 2.59572i | 0.669743 | − | 0.128507i | ||||
\(409\) | 28.2507 | − | 20.1173i | 1.39691 | − | 0.994735i | 0.399972 | − | 0.916527i | \(-0.369020\pi\) |
0.996937 | − | 0.0782076i | \(-0.0249197\pi\) | |||||||
\(410\) | 6.61875 | − | 8.41642i | 0.326877 | − | 0.415657i | ||||
\(411\) | 12.3736 | − | 21.3908i | 0.610345 | − | 1.05513i | ||||
\(412\) | 4.34230 | − | 3.76263i | 0.213930 | − | 0.185371i | ||||
\(413\) | −28.7785 | + | 11.1880i | −1.41610 | + | 0.550524i | ||||
\(414\) | 14.2203 | − | 2.18693i | 0.698890 | − | 0.107482i | ||||
\(415\) | 4.88072 | + | 8.45366i | 0.239585 | + | 0.414974i | ||||
\(416\) | −0.0945295 | + | 0.0182191i | −0.00463469 | + | 0.000893263i | ||||
\(417\) | 1.62960 | + | 0.00134926i | 0.0798018 | + | 6.60735e-5i | ||||
\(418\) | −4.90886 | − | 12.2617i | −0.240100 | − | 0.599742i | ||||
\(419\) | 3.21155 | − | 7.03231i | 0.156894 | − | 0.343551i | −0.814819 | − | 0.579716i | \(-0.803163\pi\) |
0.971713 | + | 0.236165i | \(0.0758907\pi\) | |||||||
\(420\) | −13.5702 | + | 0.498981i | −0.662157 | + | 0.0243478i | ||||
\(421\) | 17.3051 | + | 5.08125i | 0.843401 | + | 0.247645i | 0.674764 | − | 0.738033i | \(-0.264245\pi\) |
0.168637 | + | 0.985678i | \(0.446064\pi\) | |||||||
\(422\) | 11.4505 | − | 22.2109i | 0.557402 | − | 1.08121i | ||||
\(423\) | 1.72222 | + | 2.99441i | 0.0837371 | + | 0.145593i | ||||
\(424\) | 0.918842 | − | 3.78752i | 0.0446229 | − | 0.183938i | ||||
\(425\) | 29.5260 | + | 5.69066i | 1.43222 | + | 0.276038i | ||||
\(426\) | −8.83240 | − | 22.1153i | −0.427931 | − | 1.07149i | ||||
\(427\) | 1.53409 | − | 0.204904i | 0.0742397 | − | 0.00991602i | ||||
\(428\) | 8.33674 | − | 3.80726i | 0.402971 | − | 0.184031i | ||||
\(429\) | −0.834479 | + | 0.593189i | −0.0402890 | + | 0.0286394i | ||||
\(430\) | 9.41393 | + | 9.87305i | 0.453980 | + | 0.476121i | ||||
\(431\) | −4.92472 | + | 12.3014i | −0.237215 | + | 0.592536i | −0.998433 | − | 0.0559611i | \(-0.982178\pi\) |
0.761218 | + | 0.648497i | \(0.224602\pi\) | |||||||
\(432\) | 5.05271 | − | 1.21249i | 0.243099 | − | 0.0583361i | ||||
\(433\) | −3.23288 | − | 0.464818i | −0.155362 | − | 0.0223377i | 0.0641947 | − | 0.997937i | \(-0.479552\pi\) |
−0.219557 | + | 0.975600i | \(0.570461\pi\) | |||||||
\(434\) | −0.881409 | − | 2.63167i | −0.0423090 | − | 0.126324i | ||||
\(435\) | −3.01443 | − | 12.4707i | −0.144531 | − | 0.597924i | ||||
\(436\) | 5.66208 | + | 9.80701i | 0.271164 | + | 0.469671i | ||||
\(437\) | −7.87324 | − | 6.66591i | −0.376628 | − | 0.318874i | ||||
\(438\) | −5.46228 | − | 8.51497i | −0.260998 | − | 0.406861i | ||||
\(439\) | 9.28612 | + | 3.21396i | 0.443202 | + | 0.153394i | 0.539549 | − | 0.841954i | \(-0.318595\pi\) |
−0.0963471 | + | 0.995348i | \(0.530716\pi\) | |||||||
\(440\) | −15.3065 | − | 9.83690i | −0.729709 | − | 0.468956i | ||||
\(441\) | 7.29726 | − | 19.6914i | 0.347488 | − | 0.937684i | ||||
\(442\) | −0.318052 | + | 0.696437i | −0.0151282 | + | 0.0331261i | ||||
\(443\) | 0.854906 | + | 1.08710i | 0.0406178 | + | 0.0516497i | 0.805938 | − | 0.592000i | \(-0.201662\pi\) |
−0.765320 | + | 0.643650i | \(0.777419\pi\) | |||||||
\(444\) | 0.223688 | + | 0.764151i | 0.0106158 | + | 0.0362650i | ||||
\(445\) | −1.37705 | − | 28.9077i | −0.0652782 | − | 1.37036i | ||||
\(446\) | −9.71007 | + | 13.6359i | −0.459785 | + | 0.645678i | ||||
\(447\) | −22.1111 | − | 4.28056i | −1.04582 | − | 0.202464i | ||||
\(448\) | 2.60282 | − | 0.474661i | 0.122972 | − | 0.0224256i | ||||
\(449\) | 13.6938 | + | 11.8658i | 0.646253 | + | 0.559981i | 0.915113 | − | 0.403198i | \(-0.132101\pi\) |
−0.268860 | + | 0.963179i | \(0.586647\pi\) | |||||||
\(450\) | 11.2246 | + | 1.63282i | 0.529131 | + | 0.0769721i | ||||
\(451\) | −2.10895 | + | 22.0859i | −0.0993064 | + | 1.03998i | ||||
\(452\) | −10.7352 | + | 0.511379i | −0.504940 | + | 0.0240533i | ||||
\(453\) | 31.4700 | + | 7.66214i | 1.47859 | + | 0.359999i | ||||
\(454\) | 18.9917 | − | 2.73059i | 0.891323 | − | 0.128153i | ||||
\(455\) | 0.414392 | − | 0.630821i | 0.0194270 | − | 0.0295733i | ||||
\(456\) | −3.03311 | − | 2.16366i | −0.142038 | − | 0.101322i | ||||
\(457\) | −1.29794 | + | 27.2471i | −0.0607151 | + | 1.27457i | 0.738802 | + | 0.673923i | \(0.235392\pi\) |
−0.799517 | + | 0.600644i | \(0.794911\pi\) | |||||||
\(458\) | 6.49874 | − | 1.25253i | 0.303666 | − | 0.0585268i | ||||
\(459\) | 15.4541 | − | 38.3263i | 0.721337 | − | 1.78892i | ||||
\(460\) | −14.1615 | − | 1.18880i | −0.660282 | − | 0.0554280i | ||||
\(461\) | 35.4372 | 1.65048 | 0.825238 | − | 0.564785i | \(-0.191041\pi\) | ||||
0.825238 | + | 0.564785i | \(0.191041\pi\) | |||||||
\(462\) | 23.0960 | − | 16.0719i | 1.07452 | − | 0.747735i | ||||
\(463\) | 21.2337 | + | 13.6461i | 0.986814 | + | 0.634187i | 0.931293 | − | 0.364271i | \(-0.118682\pi\) |
0.0555208 | + | 0.998458i | \(0.482318\pi\) | |||||||
\(464\) | 0.929052 | + | 2.32066i | 0.0431301 | + | 0.107734i | ||||
\(465\) | 0.761800 | + | 5.32976i | 0.0353276 | + | 0.247162i | ||||
\(466\) | 15.7252 | + | 6.29543i | 0.728457 | + | 0.291630i | ||||
\(467\) | −6.61963 | − | 27.2865i | −0.306320 | − | 1.26267i | −0.891966 | − | 0.452102i | \(-0.850674\pi\) |
0.585646 | − | 0.810567i | \(-0.300841\pi\) | |||||||
\(468\) | −0.107783 | + | 0.267942i | −0.00498226 | + | 0.0123856i | ||||
\(469\) | 16.0819 | + | 15.6446i | 0.742594 | + | 0.722402i | ||||
\(470\) | −0.961283 | − | 3.27383i | −0.0443407 | − | 0.151010i | ||||
\(471\) | 9.30639 | + | 7.33110i | 0.428816 | + | 0.337799i | ||||
\(472\) | −11.0284 | + | 3.81698i | −0.507625 | + | 0.175691i | ||||
\(473\) | −27.4704 | − | 6.66424i | −1.26309 | − | 0.306422i | ||||
\(474\) | 16.0645 | − | 8.26499i | 0.737866 | − | 0.379624i | ||||
\(475\) | −4.39700 | − | 6.84187i | −0.201748 | − | 0.313927i | ||||
\(476\) | 8.93228 | − | 19.0515i | 0.409410 | − | 0.873226i | ||||
\(477\) | −8.05448 | − | 8.47535i | −0.368789 | − | 0.388060i | ||||
\(478\) | −5.01167 | + | 0.478556i | −0.229228 | + | 0.0218887i | ||||
\(479\) | −4.96934 | − | 3.90793i | −0.227055 | − | 0.178558i | 0.498150 | − | 0.867091i | \(-0.334013\pi\) |
−0.725205 | + | 0.688533i | \(0.758255\pi\) | |||||||
\(480\) | −5.13251 | − | 0.00424956i | −0.234266 | − | 0.000193965i | ||||
\(481\) | −0.0418207 | − | 0.0144743i | −0.00190686 | − | 0.000659970i | ||||
\(482\) | −1.48462 | −0.0676228 | ||||||||
\(483\) | 10.0588 | − | 19.5402i | 0.457689 | − | 0.889112i | ||||
\(484\) | 26.7016 | 1.21371 | ||||||||
\(485\) | 43.1884 | + | 14.9477i | 1.96109 | + | 0.678738i | ||||
\(486\) | 5.15943 | − | 14.7099i | 0.234036 | − | 0.667253i | ||||
\(487\) | −8.44366 | − | 6.64016i | −0.382619 | − | 0.300895i | 0.408262 | − | 0.912865i | \(-0.366135\pi\) |
−0.790881 | + | 0.611970i | \(0.790377\pi\) | |||||||
\(488\) | 0.582331 | − | 0.0556059i | 0.0263609 | − | 0.00251716i | ||||
\(489\) | −1.44749 | − | 0.502324i | −0.0654579 | − | 0.0227159i | ||||
\(490\) | −11.5618 | + | 17.2218i | −0.522307 | + | 0.778001i | ||||
\(491\) | −16.2379 | − | 25.2666i | −0.732805 | − | 1.14027i | −0.984994 | − | 0.172589i | \(-0.944787\pi\) |
0.252189 | − | 0.967678i | \(-0.418849\pi\) | |||||||
\(492\) | 2.86318 | + | 5.56510i | 0.129082 | + | 0.250894i | ||||
\(493\) | 19.3198 | + | 4.68693i | 0.870119 | + | 0.211089i | ||||
\(494\) | 0.195692 | − | 0.0677295i | 0.00880458 | − | 0.00304729i | ||||
\(495\) | −49.6894 | + | 22.5930i | −2.23337 | + | 1.01548i | ||||
\(496\) | −0.295533 | − | 1.00649i | −0.0132698 | − | 0.0451929i | ||||
\(497\) | −35.2632 | − | 8.92973i | −1.58177 | − | 0.400553i | ||||
\(498\) | −5.68026 | + | 0.537653i | −0.254539 | + | 0.0240928i | ||||
\(499\) | 4.92695 | + | 20.3092i | 0.220561 | + | 0.909164i | 0.969218 | + | 0.246206i | \(0.0791840\pi\) |
−0.748657 | + | 0.662958i | \(0.769301\pi\) | |||||||
\(500\) | 3.35373 | + | 1.34263i | 0.149983 | + | 0.0600443i | ||||
\(501\) | −27.9351 | + | 3.99285i | −1.24805 | + | 0.178388i | ||||
\(502\) | 4.41852 | + | 11.0369i | 0.197208 | + | 0.492602i | ||||
\(503\) | −27.8644 | − | 17.9073i | −1.24241 | − | 0.798449i | −0.256634 | − | 0.966509i | \(-0.582614\pi\) |
−0.985777 | + | 0.168059i | \(0.946250\pi\) | |||||||
\(504\) | 3.03580 | − | 7.33375i | 0.135225 | − | 0.326671i | ||||
\(505\) | 49.5588 | 2.20534 | ||||||||
\(506\) | 26.0175 | − | 13.7923i | 1.15662 | − | 0.613142i | ||||
\(507\) | 12.1491 | + | 18.9388i | 0.539559 | + | 0.841101i | ||||
\(508\) | 12.8066 | − | 2.46826i | 0.568199 | − | 0.109511i | ||||
\(509\) | −0.558341 | + | 11.7210i | −0.0247480 | + | 0.519525i | 0.952126 | + | 0.305707i | \(0.0988929\pi\) |
−0.976874 | + | 0.213818i | \(0.931410\pi\) | |||||||
\(510\) | −23.7047 | + | 33.2303i | −1.04966 | + | 1.47146i | ||||
\(511\) | −15.4274 | − | 0.889879i | −0.682467 | − | 0.0393659i | ||||
\(512\) | 0.989821 | − | 0.142315i | 0.0437443 | − | 0.00628949i | ||||
\(513\) | −10.3869 | + | 4.12837i | −0.458592 | + | 0.182272i | ||||
\(514\) | −8.73606 | + | 0.416150i | −0.385331 | + | 0.0183556i | ||||
\(515\) | −1.61842 | + | 16.9489i | −0.0713162 | + | 0.746857i | ||||
\(516\) | −7.53737 | + | 2.60172i | −0.331814 | + | 0.114534i | ||||
\(517\) | 5.34321 | + | 4.62992i | 0.234994 | + | 0.203624i | ||||
\(518\) | 1.14531 | + | 0.409288i | 0.0503219 | + | 0.0179831i | ||||
\(519\) | −6.69840 | + | 34.6004i | −0.294027 | + | 1.51879i | ||||
\(520\) | 0.165473 | − | 0.232375i | 0.00725648 | − | 0.0101903i | ||||
\(521\) | −0.717033 | − | 15.0524i | −0.0314138 | − | 0.659457i | −0.958583 | − | 0.284814i | \(-0.908068\pi\) |
0.927169 | − | 0.374643i | \(-0.122235\pi\) | |||||||
\(522\) | 7.36128 | + | 1.43142i | 0.322194 | + | 0.0626514i | ||||
\(523\) | −27.1122 | − | 34.4760i | −1.18553 | − | 1.50753i | −0.815742 | − | 0.578416i | \(-0.803671\pi\) |
−0.369793 | − | 0.929114i | \(-0.620571\pi\) | |||||||
\(524\) | 2.82982 | − | 6.19644i | 0.123621 | − | 0.270693i | ||||
\(525\) | 12.0918 | − | 12.4092i | 0.527729 | − | 0.541582i | ||||
\(526\) | 15.9498 | + | 10.2503i | 0.695445 | + | 0.446936i | ||||
\(527\) | −7.88370 | − | 2.72857i | −0.343419 | − | 0.118859i | ||||
\(528\) | 8.95155 | − | 5.74234i | 0.389566 | − | 0.249903i | ||||
\(529\) | 12.9088 | − | 19.0358i | 0.561252 | − | 0.827645i | ||||
\(530\) | 5.77447 | + | 10.0017i | 0.250827 | + | 0.434445i | ||||
\(531\) | −8.31046 | + | 34.0103i | −0.360643 | + | 1.47592i | ||||
\(532\) | −5.39654 | + | 1.80743i | −0.233970 | + | 0.0783619i | ||||
\(533\) | −0.344311 | − | 0.0495044i | −0.0149137 | − | 0.00214427i | ||||
\(534\) | 15.6990 | + | 6.30004i | 0.679364 | + | 0.272629i | ||||
\(535\) | −10.0937 | + | 25.2127i | −0.436387 | + | 1.09004i | ||||
\(536\) | 5.85193 | + | 6.13732i | 0.252765 | + | 0.265092i | ||||
\(537\) | 3.63516 | + | 5.11383i | 0.156869 | + | 0.220678i | ||||
\(538\) | 3.45846 | − | 1.57943i | 0.149105 | − | 0.0680939i | ||||
\(539\) | 0.861117 | − | 42.9725i | 0.0370909 | − | 1.85096i | ||||
\(540\) | −8.35669 | + | 12.9325i | −0.359615 | + | 0.556527i | ||||
\(541\) | −29.7324 | − | 5.73045i | −1.27830 | − | 0.246371i | −0.495477 | − | 0.868621i | \(-0.665007\pi\) |
−0.782819 | + | 0.622250i | \(0.786219\pi\) | |||||||
\(542\) | −5.98655 | + | 24.6769i | −0.257144 | + | 1.05996i | ||||
\(543\) | 33.9588 | + | 21.8638i | 1.45731 | + | 0.938264i | ||||
\(544\) | 3.64426 | − | 7.06887i | 0.156246 | − | 0.303075i | ||||
\(545\) | −32.1971 | − | 9.45393i | −1.37917 | − | 0.404962i | ||||
\(546\) | 0.234470 | + | 0.373693i | 0.0100344 | + | 0.0159926i | ||||
\(547\) | 4.80633 | − | 10.5244i | 0.205504 | − | 0.449991i | −0.778615 | − | 0.627502i | \(-0.784077\pi\) |
0.984119 | + | 0.177511i | \(0.0568047\pi\) | |||||||
\(548\) | −5.30264 | − | 13.2454i | −0.226518 | − | 0.565814i | ||||
\(549\) | 0.806742 | − | 1.55852i | 0.0344309 | − | 0.0665160i | ||||
\(550\) | 22.7958 | − | 4.39353i | 0.972017 | − | 0.187341i | ||||
\(551\) | −2.68852 | − | 4.65666i | −0.114535 | − | 0.198380i | ||||
\(552\) | 4.07667 | − | 7.23746i | 0.173514 | − | 0.308047i | ||||
\(553\) | 4.20079 | − | 27.2746i | 0.178636 | − | 1.15983i | ||||
\(554\) | −2.61398 | + | 2.26503i | −0.111058 | + | 0.0962319i | ||||
\(555\) | −2.04232 | − | 1.18139i | −0.0866918 | − | 0.0501473i | ||||
\(556\) | 0.581595 | − | 0.739558i | 0.0246651 | − | 0.0313643i | ||||
\(557\) | −28.0984 | + | 20.0088i | −1.19057 | + | 0.847798i | −0.991232 | − | 0.132133i | \(-0.957817\pi\) |
−0.199334 | + | 0.979932i | \(0.563878\pi\) | |||||||
\(558\) | −3.01801 | − | 0.891598i | −0.127762 | − | 0.0377443i | ||||
\(559\) | 0.124861 | − | 0.425238i | 0.00528106 | − | 0.0179856i | ||||
\(560\) | −4.61142 | + | 6.34043i | −0.194868 | + | 0.267932i | ||||
\(561\) | 4.09444 | − | 84.4811i | 0.172867 | − | 3.56680i | ||||
\(562\) | 6.29659 | + | 6.00378i | 0.265606 | + | 0.253254i | ||||
\(563\) | −8.42466 | − | 24.3415i | −0.355057 | − | 1.02587i | −0.971206 | − | 0.238241i | \(-0.923429\pi\) |
0.616149 | − | 0.787630i | \(-0.288692\pi\) | |||||||
\(564\) | 1.97383 | + | 0.285463i | 0.0831133 | + | 0.0120201i | ||||
\(565\) | 21.9771 | − | 23.0489i | 0.924582 | − | 0.969673i | ||||
\(566\) | 2.34783 | + | 5.14104i | 0.0986868 | + | 0.216094i | ||||
\(567\) | −13.5524 | − | 19.5789i | −0.569147 | − | 0.822235i | ||||
\(568\) | −13.1920 | − | 3.87352i | −0.553524 | − | 0.162529i | ||||
\(569\) | −14.7547 | − | 18.7621i | −0.618548 | − | 0.786548i | 0.371325 | − | 0.928503i | \(-0.378904\pi\) |
−0.989873 | + | 0.141955i | \(0.954661\pi\) | |||||||
\(570\) | 10.9293 | − | 1.56216i | 0.457777 | − | 0.0654315i | ||||
\(571\) | 21.6926 | + | 17.0593i | 0.907807 | + | 0.713908i | 0.958586 | − | 0.284802i | \(-0.0919279\pi\) |
−0.0507788 | + | 0.998710i | \(0.516170\pi\) | |||||||
\(572\) | −0.0281261 | + | 0.590439i | −0.00117601 | + | 0.0246875i | ||||
\(573\) | 6.71711 | + | 27.7887i | 0.280611 | + | 1.16089i | ||||
\(574\) | 9.44853 | + | 1.45525i | 0.394374 | + | 0.0607409i | ||||
\(575\) | 14.1239 | − | 11.3713i | 0.589007 | − | 0.474215i | ||||
\(576\) | 1.25076 | − | 2.72683i | 0.0521151 | − | 0.113618i | ||||
\(577\) | 1.15283 | + | 5.98144i | 0.0479928 | + | 0.249010i | 0.998000 | − | 0.0632185i | \(-0.0201365\pi\) |
−0.950007 | + | 0.312229i | \(0.898924\pi\) | |||||||
\(578\) | −21.1928 | − | 41.1083i | −0.881503 | − | 1.70988i | ||||
\(579\) | −1.11073 | + | 11.5312i | −0.0461603 | + | 0.479219i | ||||
\(580\) | −6.73793 | − | 3.07711i | −0.279777 | − | 0.127770i | ||||
\(581\) | −4.43316 | + | 7.50383i | −0.183918 | + | 0.311311i | ||||
\(582\) | −18.4502 | + | 19.3180i | −0.764787 | + | 0.800757i | ||||
\(583\) | −21.2703 | − | 10.9656i | −0.880926 | − | 0.454149i | ||||
\(584\) | −5.81425 | − | 0.555193i | −0.240595 | − | 0.0229741i | ||||
\(585\) | −0.316757 | − | 0.795034i | −0.0130963 | − | 0.0328706i | ||||
\(586\) | −1.07867 | + | 5.59668i | −0.0445595 | + | 0.231197i | ||||
\(587\) | 20.0885 | − | 23.1834i | 0.829141 | − | 0.956880i | −0.170453 | − | 0.985366i | \(-0.554523\pi\) |
0.999594 | + | 0.0284857i | \(0.00906852\pi\) | |||||||
\(588\) | −6.34070 | − | 10.3342i | −0.261486 | − | 0.426175i | ||||
\(589\) | 0.937354 | + | 2.05252i | 0.0386230 | + | 0.0845725i | ||||
\(590\) | 15.8464 | − | 30.7378i | 0.652388 | − | 1.26546i | ||||
\(591\) | −11.6889 | + | 3.42167i | −0.480819 | + | 0.140749i | ||||
\(592\) | 0.426768 | + | 0.170852i | 0.0175400 | + | 0.00702197i | ||||
\(593\) | 46.9370 | − | 4.48194i | 1.92747 | − | 0.184051i | 0.939926 | − | 0.341379i | \(-0.110894\pi\) |
0.987547 | + | 0.157327i | \(0.0502877\pi\) | |||||||
\(594\) | 0.0792495 | − | 31.9051i | 0.00325165 | − | 1.30908i | ||||
\(595\) | 19.8019 | + | 59.1236i | 0.811799 | + | 2.42383i | ||||
\(596\) | −9.82694 | + | 8.51509i | −0.402527 | + | 0.348792i | ||||
\(597\) | −1.27450 | − | 27.2294i | −0.0521618 | − | 1.11442i | ||||
\(598\) | 0.196589 | + | 0.417745i | 0.00803914 | + | 0.0170829i | ||||
\(599\) | 11.5710 | + | 6.68052i | 0.472778 | + | 0.272959i | 0.717402 | − | 0.696659i | \(-0.245331\pi\) |
−0.244624 | + | 0.969618i | \(0.578664\pi\) | |||||||
\(600\) | 4.74327 | − | 4.51521i | 0.193643 | − | 0.184332i | ||||
\(601\) | −9.83560 | + | 15.3045i | −0.401203 | + | 0.624283i | −0.981802 | − | 0.189906i | \(-0.939182\pi\) |
0.580600 | + | 0.814189i | \(0.302818\pi\) | |||||||
\(602\) | −3.54844 | + | 11.6518i | −0.144624 | + | 0.474891i | ||||
\(603\) | 24.9884 | − | 4.77323i | 1.01761 | − | 0.194381i | ||||
\(604\) | 14.6992 | − | 11.5596i | 0.598102 | − | 0.470352i | ||||
\(605\) | −57.2645 | + | 54.6016i | −2.32813 | + | 2.21987i | ||||
\(606\) | −12.0554 | + | 26.3399i | −0.489716 | + | 1.06998i | ||||
\(607\) | −1.89237 | − | 1.34755i | −0.0768089 | − | 0.0546954i | 0.541007 | − | 0.841018i | \(-0.318043\pi\) |
−0.617816 | + | 0.786322i | \(0.711982\pi\) | |||||||
\(608\) | −2.06393 | + | 0.606024i | −0.0837033 | + | 0.0245775i | ||||
\(609\) | 8.37573 | − | 7.81458i | 0.339402 | − | 0.316663i | ||||
\(610\) | −1.13517 | + | 1.31005i | −0.0459616 | + | 0.0530425i | ||||
\(611\) | −0.0764946 | + | 0.0802253i | −0.00309464 | + | 0.00324557i | ||||
\(612\) | −11.8952 | − | 20.6821i | −0.480835 | − | 0.836025i | ||||
\(613\) | 1.64253 | + | 34.4810i | 0.0663413 | + | 1.39268i | 0.749306 | + | 0.662224i | \(0.230387\pi\) |
−0.682965 | + | 0.730452i | \(0.739310\pi\) | |||||||
\(614\) | 1.33272 | + | 5.49354i | 0.0537841 | + | 0.221701i | ||||
\(615\) | −17.5204 | − | 6.08012i | −0.706490 | − | 0.245174i | ||||
\(616\) | 0.935505 | − | 16.2184i | 0.0376926 | − | 0.653457i | ||||
\(617\) | 46.2433 | + | 6.64879i | 1.86169 | + | 0.267670i | 0.979234 | − | 0.202731i | \(-0.0649817\pi\) |
0.882453 | + | 0.470401i | \(0.155891\pi\) | |||||||
\(618\) | −8.61442 | − | 4.98305i | −0.346523 | − | 0.200448i | ||||
\(619\) | 1.45474 | + | 7.54791i | 0.0584709 | + | 0.303376i | 0.999377 | − | 0.0352915i | \(-0.0112360\pi\) |
−0.940906 | + | 0.338667i | \(0.890024\pi\) | |||||||
\(620\) | 2.69196 | + | 1.55421i | 0.108112 | + | 0.0624184i | ||||
\(621\) | −11.6171 | − | 22.0464i | −0.466178 | − | 0.884691i | ||||
\(622\) | 24.9751i | 1.00141i | ||||||||
\(623\) | 21.8765 | − | 13.7515i | 0.876464 | − | 0.550941i | ||||
\(624\) | 0.0832520 | + | 0.144473i | 0.00333275 | + | 0.00578354i | ||||
\(625\) | −27.4883 | + | 11.0047i | −1.09953 | + | 0.440186i | ||||
\(626\) | 0.613203 | + | 0.861124i | 0.0245085 | + | 0.0344174i | ||||
\(627\) | −17.3014 | + | 14.9667i | −0.690953 | + | 0.597713i | ||||
\(628\) | 6.64712 | − | 1.61257i | 0.265249 | − | 0.0643487i | ||||
\(629\) | 3.07558 | − | 1.97656i | 0.122631 | − | 0.0788104i | ||||
\(630\) | 8.48606 | + | 21.9359i | 0.338093 | + | 0.873947i | ||||
\(631\) | 20.4302 | − | 5.99886i | 0.813315 | − | 0.238811i | 0.151480 | − | 0.988460i | \(-0.451596\pi\) |
0.661835 | + | 0.749650i | \(0.269778\pi\) | |||||||
\(632\) | 1.97396 | − | 10.2419i | 0.0785199 | − | 0.407400i | ||||
\(633\) | −42.8361 | − | 6.19511i | −1.70258 | − | 0.246234i | ||||
\(634\) | 5.79955 | − | 23.9061i | 0.230329 | − | 0.949431i | ||||
\(635\) | −22.4178 | + | 31.4814i | −0.889623 | + | 1.24930i | ||||
\(636\) | −6.72042 | + | 0.636108i | −0.266482 | + | 0.0252233i | ||||
\(637\) | 0.672344 | + | 0.0455441i | 0.0266392 | + | 0.00180452i | ||||
\(638\) | 15.1925 | − | 2.18434i | 0.601475 | − | 0.0864790i | ||||
\(639\) | −31.2169 | + | 26.9592i | −1.23492 | + | 1.06649i | ||||
\(640\) | −1.83177 | + | 2.32928i | −0.0724069 | + | 0.0920728i | ||||
\(641\) | 7.09061 | + | 13.7539i | 0.280062 | + | 0.543245i | 0.986346 | − | 0.164683i | \(-0.0526602\pi\) |
−0.706284 | + | 0.707928i | \(0.749630\pi\) | |||||||
\(642\) | −10.9449 | − | 11.4977i | −0.431961 | − | 0.453780i | ||||
\(643\) | 42.3369i | 1.66961i | 0.550549 | + | 0.834803i | \(0.314418\pi\) | ||||
−0.550549 | + | 0.834803i | \(0.685582\pi\) | |||||||
\(644\) | −5.28755 | − | 11.5344i | −0.208359 | − | 0.454518i | ||||
\(645\) | 10.8445 | − | 20.9927i | 0.427002 | − | 0.826587i | ||||
\(646\) | −5.59525 | + | 16.1664i | −0.220142 | + | 0.636059i | ||||
\(647\) | −30.9501 | + | 15.9559i | −1.21678 | + | 0.627291i | −0.942450 | − | 0.334346i | \(-0.891485\pi\) |
−0.274325 | + | 0.961637i | \(0.588454\pi\) | |||||||
\(648\) | −4.84067 | − | 7.58736i | −0.190159 | − | 0.298059i | ||||
\(649\) | 6.81148 | + | 71.3330i | 0.267374 | + | 2.80007i | ||||
\(650\) | 0.0518004 | + | 0.360280i | 0.00203178 | + | 0.0141313i | ||||
\(651\) | −3.81060 | + | 2.93036i | −0.149349 | + | 0.114850i | ||||
\(652\) | −0.744175 | + | 0.478252i | −0.0291441 | + | 0.0187298i | ||||
\(653\) | −36.3985 | − | 25.9193i | −1.42438 | − | 1.01430i | −0.993733 | − | 0.111780i | \(-0.964345\pi\) |
−0.430650 | − | 0.902519i | \(-0.641716\pi\) | |||||||
\(654\) | 12.8567 | − | 14.8126i | 0.502738 | − | 0.579220i | ||||
\(655\) | 6.60213 | + | 19.0756i | 0.257966 | + | 0.745345i | ||||
\(656\) | 3.54802 | + | 0.683825i | 0.138527 | + | 0.0266989i | ||||
\(657\) | −10.8542 | + | 13.7553i | −0.423464 | + | 0.536647i | ||||
\(658\) | 2.12427 | − | 2.18365i | 0.0828127 | − | 0.0851274i | ||||
\(659\) | −3.01833 | − | 4.69661i | −0.117577 | − | 0.182954i | 0.777476 | − | 0.628912i | \(-0.216499\pi\) |
−0.895054 | + | 0.445958i | \(0.852863\pi\) | |||||||
\(660\) | −7.45517 | + | 30.6200i | −0.290192 | + | 1.19188i | ||||
\(661\) | −5.97685 | + | 14.9294i | −0.232472 | + | 0.580688i | −0.998034 | − | 0.0626745i | \(-0.980037\pi\) |
0.765562 | + | 0.643363i | \(0.222461\pi\) | |||||||
\(662\) | 8.27999 | − | 5.89616i | 0.321811 | − | 0.229161i | ||||
\(663\) | 1.31999 | + | 0.127147i | 0.0512642 | + | 0.00493798i | ||||
\(664\) | −1.78096 | + | 2.77122i | −0.0691145 | + | 0.107544i | ||||
\(665\) | 7.87750 | − | 14.9115i | 0.305476 | − | 0.578244i | ||||
\(666\) | 1.12470 | − | 0.798089i | 0.0435811 | − | 0.0309253i | ||||
\(667\) | 9.68506 | − | 7.06521i | 0.375007 | − | 0.273566i | ||||
\(668\) | −8.14612 | + | 14.1095i | −0.315183 | + | 0.545913i | ||||
\(669\) | 27.8130 | + | 8.19166i | 1.07531 | + | 0.316708i | ||||
\(670\) | −25.1002 | − | 1.19567i | −0.969706 | − | 0.0461928i | ||||
\(671\) | 0.511177 | − | 3.55531i | 0.0197338 | − | 0.137251i | ||||
\(672\) | −2.24811 | − | 3.99324i | −0.0867227 | − | 0.154043i | ||||
\(673\) | −2.48598 | − | 17.2903i | −0.0958274 | − | 0.666494i | −0.979951 | − | 0.199240i | \(-0.936153\pi\) |
0.884123 | − | 0.467254i | \(-0.154757\pi\) | |||||||
\(674\) | −9.08247 | + | 2.20338i | −0.349844 | + | 0.0848711i | ||||
\(675\) | −3.67013 | − | 19.3003i | −0.141263 | − | 0.742868i | ||||
\(676\) | 12.9319 | + | 1.23485i | 0.497381 | + | 0.0474941i | ||||
\(677\) | 16.0166 | + | 15.2718i | 0.615567 | + | 0.586942i | 0.932350 | − | 0.361556i | \(-0.117754\pi\) |
−0.316783 | + | 0.948498i | \(0.602603\pi\) | |||||||
\(678\) | 6.90417 | + | 17.2872i | 0.265153 | + | 0.663912i | ||||
\(679\) | 7.32064 | + | 40.1431i | 0.280940 | + | 1.54055i | ||||
\(680\) | 6.63950 | + | 22.6121i | 0.254613 | + | 0.867133i | ||||
\(681\) | −15.2037 | − | 29.5511i | −0.582606 | − | 1.13240i | ||||
\(682\) | −6.43363 | + | 0.306472i | −0.246357 | + | 0.0117354i | ||||
\(683\) | 4.50330 | + | 4.72293i | 0.172314 | + | 0.180718i | 0.804228 | − | 0.594321i | \(-0.202579\pi\) |
−0.631914 | + | 0.775038i | \(0.717730\pi\) | |||||||
\(684\) | −1.82832 | + | 6.18876i | −0.0699076 | + | 0.236633i | ||||
\(685\) | 38.4573 | + | 17.5629i | 1.46938 | + | 0.671043i | ||||
\(686\) | −18.4644 | − | 1.43673i | −0.704976 | − | 0.0548545i | ||||
\(687\) | −5.72343 | − | 9.93225i | −0.218362 | − | 0.378939i | ||||
\(688\) | −1.50571 | + | 4.35046i | −0.0574046 | + | 0.165860i | ||||
\(689\) | 0.187599 | − | 0.324931i | 0.00714695 | − | 0.0123789i | ||||
\(690\) | 6.05689 | + | 23.8578i | 0.230582 | + | 0.908252i | ||||
\(691\) | −20.5367 | + | 11.8569i | −0.781253 | + | 0.451057i | −0.836874 | − | 0.547395i | \(-0.815620\pi\) |
0.0556208 | + | 0.998452i | \(0.482286\pi\) | |||||||
\(692\) | 13.3247 | + | 15.3776i | 0.506531 | + | 0.584568i | ||||
\(693\) | −39.3665 | − | 28.7312i | −1.49541 | − | 1.09141i | ||||
\(694\) | −2.93499 | + | 20.4133i | −0.111411 | + | 0.774879i | ||||
\(695\) | 0.265015 | + | 2.77536i | 0.0100526 | + | 0.105275i | ||||
\(696\) | 3.27447 | − | 2.83260i | 0.124118 | − | 0.107369i | ||||
\(697\) | 20.7976 | − | 19.8305i | 0.787766 | − | 0.751134i | ||||
\(698\) | −2.88601 | − | 1.48784i | −0.109237 | − | 0.0563156i | ||||
\(699\) | 1.42024 | − | 29.3041i | 0.0537186 | − | 1.10838i | ||||
\(700\) | −1.32436 | − | 9.91527i | −0.0500560 | − | 0.374762i | ||||
\(701\) | 28.4223 | + | 24.6281i | 1.07350 | + | 0.930190i | 0.997757 | − | 0.0669373i | \(-0.0213227\pi\) |
0.0757397 | + | 0.997128i | \(0.475868\pi\) | |||||||
\(702\) | 0.499602 | + | 0.0250429i | 0.0188563 | + | 0.000945184i | ||||
\(703\) | −0.960961 | − | 0.233127i | −0.0362433 | − | 0.00879254i | ||||
\(704\) | 0.583659 | − | 6.11236i | 0.0219975 | − | 0.230368i | ||||
\(705\) | −4.81684 | + | 3.42405i | −0.181413 | + | 0.128957i | ||||
\(706\) | 5.65948 | − | 19.2744i | 0.212997 | − | 0.725402i | ||||
\(707\) | 21.7393 | + | 38.5402i | 0.817592 | + | 1.44945i | ||||
\(708\) | 12.4820 | + | 15.8993i | 0.469103 | + | 0.597531i | ||||
\(709\) | −5.46388 | + | 2.18741i | −0.205200 | + | 0.0821499i | −0.471986 | − | 0.881606i | \(-0.656463\pi\) |
0.266786 | + | 0.963756i | \(0.414038\pi\) | |||||||
\(710\) | 36.2126 | − | 18.6689i | 1.35903 | − | 0.700631i | ||||
\(711\) | −22.6107 | − | 21.6308i | −0.847966 | − | 0.811219i | ||||
\(712\) | 8.45799 | − | 4.88322i | 0.316977 | − | 0.183007i | ||||
\(713\) | −4.32767 | + | 2.56510i | −0.162073 | + | 0.0960636i | ||||
\(714\) | −36.2403 | − | 3.85760i | −1.35626 | − | 0.144367i | ||||
\(715\) | −1.14706 | − | 1.32378i | −0.0428976 | − | 0.0495064i | ||||
\(716\) | 3.61831 | + | 0.172361i | 0.135223 | + | 0.00644145i | ||||
\(717\) | 3.61583 | + | 7.93494i | 0.135036 | + | 0.296336i | ||||
\(718\) | −20.0784 | − | 28.1962i | −0.749319 | − | 1.05227i | ||||
\(719\) | −6.95931 | + | 5.47286i | −0.259538 | + | 0.204103i | −0.739446 | − | 0.673216i | \(-0.764913\pi\) |
0.479908 | + | 0.877319i | \(0.340670\pi\) | |||||||
\(720\) | 2.89365 | + | 8.40565i | 0.107840 | + | 0.313260i | ||||
\(721\) | −13.8905 | + | 6.17616i | −0.517309 | + | 0.230012i | ||||
\(722\) | −13.0741 | + | 5.97074i | −0.486567 | + | 0.222208i | ||||
\(723\) | 0.839025 | + | 2.43071i | 0.0312037 | + | 0.0903992i | ||||
\(724\) | 22.0358 | − | 7.62666i | 0.818954 | − | 0.283443i | ||||
\(725\) | 8.93139 | − | 3.09118i | 0.331703 | − | 0.114804i | ||||
\(726\) | −15.0902 | − | 43.7174i | −0.560050 | − | 1.62250i | ||||
\(727\) | 4.50131 | − | 2.05568i | 0.166944 | − | 0.0762409i | −0.330190 | − | 0.943914i | \(-0.607113\pi\) |
0.497134 | + | 0.867674i | \(0.334386\pi\) | |||||||
\(728\) | 0.253296 | + | 0.0267500i | 0.00938777 | + | 0.000991422i | ||||
\(729\) | −26.9997 | − | 0.134130i | −0.999988 | − | 0.00496779i | ||||
\(730\) | 13.6046 | − | 10.6988i | 0.503529 | − | 0.395980i | ||||
\(731\) | 21.2374 | + | 29.8238i | 0.785495 | + | 1.10307i | ||||
\(732\) | −0.420142 | − | 0.922001i | −0.0155289 | − | 0.0340782i | ||||
\(733\) | 8.29179 | + | 0.394987i | 0.306264 | + | 0.0145892i | 0.200152 | − | 0.979765i | \(-0.435857\pi\) |
0.106113 | + | 0.994354i | \(0.466160\pi\) | |||||||
\(734\) | 3.20395 | + | 3.69756i | 0.118260 | + | 0.136479i | ||||
\(735\) | 34.7305 | + | 9.19682i | 1.28106 | + | 0.339230i | ||||
\(736\) | −1.83329 | − | 4.43160i | −0.0675761 | − | 0.163351i | ||||
\(737\) | 45.0931 | − | 26.0345i | 1.66103 | − | 0.958994i | ||||
\(738\) | 7.49340 | − | 7.83284i | 0.275836 | − | 0.288331i | ||||
\(739\) | 6.47295 | − | 3.33704i | 0.238111 | − | 0.122755i | −0.335042 | − | 0.942203i | \(-0.608750\pi\) |
0.573153 | + | 0.819448i | \(0.305720\pi\) | |||||||
\(740\) | −1.26462 | + | 0.506279i | −0.0464885 | + | 0.0186112i | ||||
\(741\) | −0.221484 | − | 0.282121i | −0.00813643 | − | 0.0103640i | ||||
\(742\) | −5.24495 | + | 8.87792i | −0.192548 | + | 0.325919i | ||||
\(743\) | 4.75539 | − | 16.1954i | 0.174458 | − | 0.594150i | −0.825116 | − | 0.564964i | \(-0.808890\pi\) |
0.999574 | − | 0.0291865i | \(-0.00929166\pi\) | |||||||
\(744\) | −1.48087 | + | 1.05268i | −0.0542913 | + | 0.0385930i | ||||
\(745\) | 3.66260 | − | 38.3565i | 0.134187 | − | 1.40527i | ||||
\(746\) | 12.9104 | + | 3.13204i | 0.472684 | + | 0.114672i | ||||
\(747\) | 4.09044 | + | 8.99620i | 0.149661 | + | 0.329154i | ||||
\(748\) | −36.9051 | − | 31.9785i | −1.34938 | − | 1.16925i | ||||
\(749\) | −24.0347 | + | 3.21026i | −0.878211 | + | 0.117300i | ||||
\(750\) | 0.302896 | − | 6.24970i | 0.0110602 | − | 0.228207i | ||||
\(751\) | 30.2425 | + | 15.5911i | 1.10357 | + | 0.568928i | 0.911021 | − | 0.412360i | \(-0.135296\pi\) |
0.192545 | + | 0.981288i | \(0.438326\pi\) | |||||||
\(752\) | 0.833343 | − | 0.794591i | 0.0303889 | − | 0.0289757i | ||||
\(753\) | 15.5732 | − | 13.4717i | 0.567519 | − | 0.490936i | ||||
\(754\) | 0.0228749 | + | 0.239556i | 0.000833053 | + | 0.00872413i | ||||
\(755\) | −7.88608 | + | 54.8489i | −0.287004 | + | 1.99616i | ||||
\(756\) | −13.7229 | − | 0.825767i | −0.499097 | − | 0.0300328i | ||||
\(757\) | 0.446004 | + | 0.514716i | 0.0162103 | + | 0.0187077i | 0.763797 | − | 0.645457i | \(-0.223333\pi\) |
−0.747587 | + | 0.664164i | \(0.768787\pi\) | |||||||
\(758\) | −2.68170 | + | 1.54828i | −0.0974037 | + | 0.0562361i | ||||
\(759\) | −37.2851 | − | 34.8027i | −1.35336 | − | 1.26326i | ||||
\(760\) | 3.18707 | − | 5.52017i | 0.115607 | − | 0.200238i | ||||
\(761\) | −3.37245 | + | 9.74405i | −0.122251 | + | 0.353221i | −0.989476 | − | 0.144695i | \(-0.953780\pi\) |
0.867225 | + | 0.497916i | \(0.165901\pi\) | |||||||
\(762\) | −11.2787 | − | 19.5727i | −0.408585 | − | 0.709045i | ||||
\(763\) | −6.77151 | − | 29.1857i | −0.245145 | − | 1.05659i | ||||
\(764\) | 15.0143 | + | 6.85679i | 0.543197 | + | 0.248070i | ||||
\(765\) | 67.8031 | + | 20.0308i | 2.45143 | + | 0.724215i | ||||
\(766\) | −16.7771 | − | 17.5953i | −0.606181 | − | 0.635744i | ||||
\(767\) | −1.12222 | + | 0.0534578i | −0.0405209 | + | 0.00193025i | ||||
\(768\) | −0.792397 | − | 1.54016i | −0.0285932 | − | 0.0555759i | ||||
\(769\) | −9.77434 | − | 33.2883i | −0.352472 | − | 1.20041i | −0.924822 | − | 0.380399i | \(-0.875787\pi\) |
0.572351 | − | 0.820009i | \(-0.306032\pi\) | |||||||
\(770\) | 31.1584 | + | 36.6951i | 1.12287 | + | 1.32240i | ||||
\(771\) | 5.61847 | + | 14.0680i | 0.202344 | + | 0.506647i | ||||
\(772\) | 4.84057 | + | 4.61548i | 0.174216 | + | 0.166115i | ||||
\(773\) | 40.2135 | + | 3.83992i | 1.44638 | + | 0.138112i | 0.788511 | − | 0.615021i | \(-0.210852\pi\) |
0.657868 | + | 0.753133i | \(0.271458\pi\) | |||||||
\(774\) | 8.51938 | + | 10.8703i | 0.306223 | + | 0.390724i | ||||
\(775\) | −3.85431 | + | 0.935045i | −0.138451 | + | 0.0335878i | ||||
\(776\) | 2.19491 | + | 15.2659i | 0.0787925 | + | 0.548014i | ||||
\(777\) | 0.0228477 | − | 2.10647i | 0.000819658 | − | 0.0755692i | ||||
\(778\) | −3.91723 | + | 27.2449i | −0.140439 | + | 0.976778i | ||||
\(779\) | −7.76366 | − | 0.369829i | −0.278162 | − | 0.0132505i | ||||
\(780\) | −0.473973 | − | 0.139597i | −0.0169710 | − | 0.00499839i | ||||
\(781\) | −42.2103 | + | 73.1104i | −1.51040 | + | 2.61609i | ||||
\(782\) | −37.1664 | − | 8.56710i | −1.32907 | − | 0.306359i | ||||
\(783\) | −1.81658 | − | 12.8613i | −0.0649191 | − | 0.459624i | ||||
\(784\) | −6.95357 | − | 0.804867i | −0.248342 | − | 0.0287453i | ||||
\(785\) | −10.9580 | + | 17.0509i | −0.391107 | + | 0.608574i | ||||
\(786\) | −11.7444 | − | 1.13127i | −0.418909 | − | 0.0403510i | ||||
\(787\) | 21.9157 | − | 15.6061i | 0.781211 | − | 0.556298i | −0.118412 | − | 0.992965i | \(-0.537780\pi\) |
0.899623 | + | 0.436667i | \(0.143841\pi\) | |||||||
\(788\) | −2.61346 | + | 6.52811i | −0.0931007 | + | 0.232554i | ||||
\(789\) | 7.76850 | − | 31.9069i | 0.276566 | − | 1.13591i | ||||
\(790\) | 16.7101 | + | 26.0014i | 0.594517 | + | 0.925087i | ||||
\(791\) | 27.5647 | + | 6.98025i | 0.980089 | + | 0.248189i | ||||
\(792\) | −14.4606 | − | 11.4107i | −0.513835 | − | 0.405463i | ||||
\(793\) | 0.0552979 | + | 0.0106578i | 0.00196369 | + | 0.000378469i | ||||
\(794\) | 2.09086 | + | 6.04115i | 0.0742020 | + | 0.214392i | ||||
\(795\) | 13.1119 | − | 15.1067i | 0.465032 | − | 0.535779i | ||||
\(796\) | −12.8199 | − | 9.12900i | −0.454389 | − | 0.323569i | ||||
\(797\) | 25.9779 | − | 16.6950i | 0.920184 | − | 0.591366i | 0.00747288 | − | 0.999972i | \(-0.497621\pi\) |
0.912711 | + | 0.408606i | \(0.133985\pi\) | |||||||
\(798\) | 6.00904 | + | 7.81407i | 0.212718 | + | 0.276615i | ||||
\(799\) | −1.30324 | − | 9.06422i | −0.0461052 | − | 0.320669i | ||||
\(800\) | −0.359398 | − | 3.76378i | −0.0127066 | − | 0.133070i | ||||
\(801\) | 1.44258 | − | 29.2638i | 0.0509711 | − | 1.03399i | ||||
\(802\) | −25.8822 | + | 13.3432i | −0.913933 | + | 0.471165i | ||||
\(803\) | −11.7296 | + | 33.8904i | −0.413928 | + | 1.19597i | ||||
\(804\) | 6.74121 | − | 13.0496i | 0.237744 | − | 0.460223i | ||||
\(805\) | 34.9262 | + | 13.9243i | 1.23099 | + | 0.490768i | ||||
\(806\) | − | 0.100985i | − | 0.00355704i | ||||||
\(807\) | −4.54045 | − | 4.76979i | −0.159831 | − | 0.167905i | ||||
\(808\) | 7.66358 | + | 14.8653i | 0.269604 | + | 0.522958i | ||||
\(809\) | 7.25034 | − | 9.21955i | 0.254908 | − | 0.324142i | −0.641709 | − | 0.766948i | \(-0.721774\pi\) |
0.896618 | + | 0.442806i | \(0.146017\pi\) | |||||||
\(810\) | 25.8966 | + | 6.37333i | 0.909914 | + | 0.223936i | ||||
\(811\) | 24.6887 | − | 3.54969i | 0.866936 | − | 0.124647i | 0.305525 | − | 0.952184i | \(-0.401168\pi\) |
0.561411 | + | 0.827537i | \(0.310259\pi\) | |||||||
\(812\) | −0.562680 | − | 6.58966i | −0.0197462 | − | 0.231252i | ||||
\(813\) | 43.7857 | − | 4.14445i | 1.53563 | − | 0.145352i | ||||
\(814\) | 1.63728 | − | 2.29923i | 0.0573865 | − | 0.0805880i | ||||
\(815\) | 0.617996 | − | 2.54742i | 0.0216475 | − | 0.0892321i | ||||
\(816\) | −13.6331 | − | 1.97167i | −0.477254 | − | 0.0690221i | ||||
\(817\) | 1.87410 | − | 9.72378i | 0.0655666 | − | 0.340192i | ||||
\(818\) | −33.2767 | + | 9.77092i | −1.16349 | + | 0.341632i | ||||
\(819\) | 0.479323 | − | 0.595079i | 0.0167489 | − | 0.0207937i | ||||
\(820\) | −9.00746 | + | 5.78875i | −0.314554 | + | 0.202152i | ||||
\(821\) | 24.5114 | − | 5.94641i | 0.855455 | − | 0.207531i | 0.216032 | − | 0.976386i | \(-0.430688\pi\) |
0.639423 | + | 0.768855i | \(0.279173\pi\) | |||||||
\(822\) | −18.6893 | + | 16.1673i | −0.651865 | + | 0.563900i | ||||
\(823\) | 22.2115 | + | 31.1917i | 0.774245 | + | 1.08727i | 0.993746 | + | 0.111662i | \(0.0356175\pi\) |
−0.219502 | + | 0.975612i | \(0.570443\pi\) | |||||||
\(824\) | −5.33412 | + | 2.13546i | −0.185823 | + | 0.0743922i | ||||
\(825\) | −20.0762 | − | 34.8397i | −0.698965 | − | 1.21296i | ||||
\(826\) | 30.8549 | − | 1.16013i | 1.07358 | − | 0.0403661i | ||||
\(827\) | 34.9177i | 1.21421i | 0.794623 | + | 0.607103i | \(0.207668\pi\) | ||||
−0.794623 | + | 0.607103i | \(0.792332\pi\) | |||||||
\(828\) | −14.1535 | − | 2.58435i | −0.491868 | − | 0.0898125i | ||||
\(829\) | −5.42641 | − | 3.13294i | −0.188467 | − | 0.108811i | 0.402798 | − | 0.915289i | \(-0.368038\pi\) |
−0.591265 | + | 0.806478i | \(0.701371\pi\) | |||||||
\(830\) | −1.84736 | − | 9.58504i | −0.0641230 | − | 0.332702i | ||||
\(831\) | 5.18571 | + | 2.99970i | 0.179890 | + | 0.104058i | ||||
\(832\) | 0.0952893 | + | 0.0137005i | 0.00330356 | + | 0.000474981i | ||||
\(833\) | −37.2922 | + | 41.3343i | −1.29210 | + | 1.43215i | ||||
\(834\) | −1.53953 | − | 0.534265i | −0.0533096 | − | 0.0185001i | ||||
\(835\) | −11.3820 | − | 46.9173i | −0.393890 | − | 1.62364i | ||||
\(836\) | 0.628455 | + | 13.1929i | 0.0217356 | + | 0.456286i | ||||
\(837\) | 0.245829 | + | 5.44513i | 0.00849711 | + | 0.188211i | ||||
\(838\) | −5.33496 | + | 5.59514i | −0.184293 | + | 0.193281i | ||||
\(839\) | −19.8119 | + | 22.8642i | −0.683984 | + | 0.789359i | −0.986496 | − | 0.163786i | \(-0.947629\pi\) |
0.302512 | + | 0.953146i | \(0.402175\pi\) | |||||||
\(840\) | 12.9870 | + | 3.96684i | 0.448095 | + | 0.136869i | ||||
\(841\) | −21.8298 | + | 6.40981i | −0.752752 | + | 0.221028i | ||||
\(842\) | −14.6915 | − | 10.4617i | −0.506301 | − | 0.360535i | ||||
\(843\) | 6.27127 | − | 13.7021i | 0.215994 | − | 0.471927i | ||||
\(844\) | −18.0852 | + | 17.2442i | −0.622519 | + | 0.593571i | ||||
\(845\) | −30.2590 | + | 23.7960i | −1.04094 | + | 0.818606i | ||||
\(846\) | −0.648122 | − | 3.39300i | −0.0222829 | − | 0.116654i | ||||
\(847\) | −67.5813 | − | 20.5813i | −2.32212 | − | 0.707180i | ||||
\(848\) | −2.10708 | + | 3.27868i | −0.0723575 | + | 0.112590i | ||||
\(849\) | 7.09035 | − | 6.74943i | 0.243340 | − | 0.231640i | ||||
\(850\) | −26.0408 | − | 15.0347i | −0.893193 | − | 0.515685i | ||||
\(851\) | 0.288745 | − | 2.18564i | 0.00989804 | − | 0.0749227i | ||||
\(852\) | 1.11341 | + | 23.7878i | 0.0381449 | + | 0.814956i | ||||
\(853\) | 6.37166 | − | 5.52108i | 0.218162 | − | 0.189038i | −0.538923 | − | 0.842355i | \(-0.681169\pi\) |
0.757084 | + | 0.653317i | \(0.226623\pi\) | |||||||
\(854\) | −1.51673 | − | 0.308116i | −0.0519015 | − | 0.0105435i | ||||
\(855\) | −8.73425 | − | 17.0112i | −0.298705 | − | 0.581770i | ||||
\(856\) | −9.12346 | + | 0.871184i | −0.311833 | + | 0.0297765i | ||||
\(857\) | −5.57010 | − | 2.22993i | −0.190271 | − | 0.0761730i | 0.274570 | − | 0.961567i | \(-0.411464\pi\) |
−0.464841 | + | 0.885394i | \(0.653889\pi\) | |||||||
\(858\) | 0.982596 | − | 0.287633i | 0.0335453 | − | 0.00981962i | ||||
\(859\) | −1.00478 | + | 1.94900i | −0.0342826 | + | 0.0664989i | −0.905355 | − | 0.424656i | \(-0.860395\pi\) |
0.871072 | + | 0.491155i | \(0.163425\pi\) | |||||||
\(860\) | −5.66702 | − | 12.4090i | −0.193244 | − | 0.423145i | ||||
\(861\) | −2.95715 | − | 16.2921i | −0.100779 | − | 0.555233i | ||||
\(862\) | 8.67724 | − | 10.0141i | 0.295548 | − | 0.341081i | ||||
\(863\) | 4.76136 | − | 24.7043i | 0.162079 | − | 0.840943i | −0.806309 | − | 0.591494i | \(-0.798538\pi\) |
0.968388 | − | 0.249449i | \(-0.0802496\pi\) | |||||||
\(864\) | −5.17138 | − | 0.506772i | −0.175934 | − | 0.0172407i | ||||
\(865\) | −60.0217 | − | 5.73138i | −2.04080 | − | 0.194873i | ||||
\(866\) | 2.90305 | + | 1.49663i | 0.0986496 | + | 0.0508574i | ||||
\(867\) | −55.3279 | + | 57.9301i | −1.87903 | + | 1.96741i | ||||
\(868\) | −0.0278032 | + | 2.77521i | −0.000943701 | + | 0.0941968i | ||||
\(869\) | −58.2566 | − | 26.6049i | −1.97622 | − | 0.902509i | ||||
\(870\) | −1.23013 | + | 12.7707i | −0.0417053 | + | 0.432969i | ||||
\(871\) | 0.374083 | + | 0.725619i | 0.0126753 | + | 0.0245867i | ||||
\(872\) | −2.14311 | − | 11.1195i | −0.0725749 | − | 0.376554i | ||||
\(873\) | 42.0556 | + | 19.2904i | 1.42337 | + | 0.652880i | ||||
\(874\) | 5.26002 | + | 8.87438i | 0.177923 | + | 0.300180i | ||||
\(875\) | −7.45336 | − | 5.98320i | −0.251969 | − | 0.202269i | ||||
\(876\) | 2.37689 | + | 9.83319i | 0.0803076 | + | 0.332233i | ||||
\(877\) | 1.14035 | − | 23.9389i | 0.0385069 | − | 0.808359i | −0.894188 | − | 0.447692i | \(-0.852246\pi\) |
0.932695 | − | 0.360667i | \(-0.117451\pi\) | |||||||
\(878\) | −7.72420 | − | 6.07438i | −0.260679 | − | 0.205000i | ||||
\(879\) | 9.77282 | − | 1.39686i | 0.329629 | − | 0.0471150i | ||||
\(880\) | 11.2473 | + | 14.3021i | 0.379147 | + | 0.482125i | ||||
\(881\) | −28.2574 | − | 8.29713i | −0.952017 | − | 0.279537i | −0.231390 | − | 0.972861i | \(-0.574327\pi\) |
−0.720626 | + | 0.693324i | \(0.756146\pi\) | |||||||
\(882\) | −13.3363 | + | 16.2217i | −0.449058 | + | 0.546212i | ||||
\(883\) | 9.00810 | + | 19.7250i | 0.303147 | + | 0.663799i | 0.998493 | − | 0.0548758i | \(-0.0174763\pi\) |
−0.695346 | + | 0.718675i | \(0.744749\pi\) | |||||||
\(884\) | 0.528342 | − | 0.554109i | 0.0177701 | − | 0.0186367i | ||||
\(885\) | −59.2812 | − | 8.57346i | −1.99272 | − | 0.288194i | ||||
\(886\) | −0.452331 | − | 1.30692i | −0.0151963 | − | 0.0439070i | ||||
\(887\) | −19.3461 | − | 18.4465i | −0.649578 | − | 0.619372i | 0.291899 | − | 0.956449i | \(-0.405713\pi\) |
−0.941477 | + | 0.337078i | \(0.890562\pi\) | |||||||
\(888\) | 0.0385441 | − | 0.795284i | 0.00129345 | − | 0.0266880i | ||||
\(889\) | −34.3157 | − | 3.62401i | −1.15091 | − | 0.121545i | ||||
\(890\) | −8.15348 | + | 27.7682i | −0.273305 | + | 0.930793i | ||||
\(891\) | −52.2817 | + | 17.9012i | −1.75150 | + | 0.599713i | ||||
\(892\) | 13.6359 | − | 9.71007i | 0.456563 | − | 0.325117i | ||||
\(893\) | −1.53108 | + | 1.94692i | −0.0512356 | + | 0.0651513i | ||||
\(894\) | 19.4950 | + | 11.2770i | 0.652011 | + | 0.377159i | ||||
\(895\) | −8.11233 | + | 7.02937i | −0.271165 | + | 0.234966i | ||||
\(896\) | −2.61492 | − | 0.402746i | −0.0873583 | − | 0.0134548i | ||||
\(897\) | 0.572856 | − | 0.557953i | 0.0191271 | − | 0.0186295i | ||||
\(898\) | −9.05978 | − | 15.6920i | −0.302329 | − | 0.523649i | ||||
\(899\) | −2.57478 | + | 0.496248i | −0.0858737 | + | 0.0165508i | ||||
\(900\) | −10.0732 | − | 5.21422i | −0.335773 | − | 0.173807i | ||||
\(901\) | 11.5199 | + | 28.7754i | 0.383785 | + | 0.958648i | ||||
\(902\) | 9.21654 | − | 20.1814i | 0.306877 | − | 0.671967i | ||||
\(903\) | 21.0823 | − | 0.775207i | 0.701577 | − | 0.0257973i | ||||
\(904\) | 10.3120 | + | 3.02788i | 0.342972 | + | 0.100706i | ||||
\(905\) | −31.6626 | + | 61.4168i | −1.05250 | + | 2.04156i | ||||
\(906\) | −27.2331 | − | 17.5336i | −0.904761 | − | 0.582514i | ||||
\(907\) | 9.53051 | − | 39.2853i | 0.316455 | − | 1.30445i | −0.562205 | − | 0.826998i | \(-0.690047\pi\) |
0.878660 | − | 0.477448i | \(-0.158438\pi\) | |||||||
\(908\) | −18.8402 | − | 3.63116i | −0.625235 | − | 0.120504i | ||||
\(909\) | 49.9382 | + | 4.85198i | 1.65634 | + | 0.160930i | ||||
\(910\) | −0.597922 | + | 0.460592i | −0.0198209 | + | 0.0152685i | ||||
\(911\) | 12.5146 | − | 5.71521i | 0.414626 | − | 0.189353i | −0.197169 | − | 0.980369i | \(-0.563175\pi\) |
0.611795 | + | 0.791016i | \(0.290448\pi\) | |||||||
\(912\) | 2.15863 | + | 3.03669i | 0.0714794 | + | 0.100555i | ||||
\(913\) | 13.9580 | + | 14.6387i | 0.461942 | + | 0.484471i | ||||
\(914\) | 10.1382 | − | 25.3240i | 0.335342 | − | 0.837645i | ||||
\(915\) | 2.78643 | + | 1.11819i | 0.0921164 | + | 0.0369664i | ||||
\(916\) | −6.55097 | − | 0.941888i | −0.216450 | − | 0.0311209i | ||||
\(917\) | −11.9384 | + | 13.5019i | −0.394240 | + | 0.445872i | ||||
\(918\) | −27.1395 | + | 31.1639i | −0.895736 | + | 1.02856i | ||||
\(919\) | −7.11325 | − | 12.3205i | −0.234644 | − | 0.406416i | 0.724525 | − | 0.689249i | \(-0.242059\pi\) |
−0.959169 | + | 0.282833i | \(0.908726\pi\) | |||||||
\(920\) | 12.9938 | + | 5.75518i | 0.428393 | + | 0.189743i | ||||
\(921\) | 8.24117 | − | 5.28664i | 0.271556 | − | 0.174201i | ||||
\(922\) | −33.4882 | − | 11.5904i | −1.10288 | − | 0.381709i | ||||
\(923\) | −1.11348 | − | 0.715591i | −0.0366507 | − | 0.0235540i | ||||
\(924\) | −27.0824 | + | 7.63404i | −0.890944 | + | 0.251141i | ||||
\(925\) | 0.722020 | − | 1.58100i | 0.0237399 | − | 0.0519830i | ||||
\(926\) | −15.6027 | − | 19.8404i | −0.512736 | − | 0.651996i | ||||
\(927\) | −3.29016 | + | 16.9202i | −0.108063 | + | 0.555731i | ||||
\(928\) | −0.118941 | − | 2.49689i | −0.00390444 | − | 0.0819644i | ||||
\(929\) | −10.0488 | + | 14.1115i | −0.329689 | + | 0.462983i | −0.945835 | − | 0.324649i | \(-0.894754\pi\) |
0.616146 | + | 0.787632i | \(0.288693\pi\) | |||||||
\(930\) | 1.02329 | − | 5.28579i | 0.0335550 | − | 0.173328i | ||||
\(931\) | 15.0517 | − | 0.414987i | 0.493299 | − | 0.0136006i | ||||
\(932\) | −12.8013 | − | 11.0924i | −0.419321 | − | 0.363344i | ||||
\(933\) | 40.8907 | − | 14.1145i | 1.33870 | − | 0.462089i | ||||
\(934\) | −2.66898 | + | 27.9508i | −0.0873317 | + | 0.914579i | ||||
\(935\) | 144.539 | − | 6.88525i | 4.72694 | − | 0.225172i | ||||
\(936\) | 0.189490 | − | 0.217953i | 0.00619367 | − | 0.00712401i | ||||
\(937\) | −14.6262 | + | 2.10293i | −0.477817 | + | 0.0686997i | −0.377016 | − | 0.926207i | \(-0.623050\pi\) |
−0.100801 | + | 0.994907i | \(0.532141\pi\) | |||||||
\(938\) | −10.0806 | − | 20.0441i | −0.329142 | − | 0.654462i | ||||
\(939\) | 1.06333 | − | 1.49063i | 0.0347006 | − | 0.0486449i | ||||
\(940\) | −0.162351 | + | 3.40818i | −0.00529532 | + | 0.111162i | ||||
\(941\) | 32.6813 | − | 6.29881i | 1.06538 | − | 0.205335i | 0.373708 | − | 0.927546i | \(-0.378086\pi\) |
0.691673 | + | 0.722211i | \(0.256874\pi\) | |||||||
\(942\) | −6.39678 | − | 9.97172i | −0.208418 | − | 0.324896i | ||||
\(943\) | −1.02268 | − | 17.2987i | −0.0333029 | − | 0.563322i | ||||
\(944\) | 11.6703 | 0.379836 | ||||||||
\(945\) | 31.1189 | − | 26.2908i | 1.01230 | − | 0.855239i | ||||
\(946\) | 23.7799 | + | 15.2824i | 0.773150 | + | 0.496873i | ||||
\(947\) | −0.297337 | − | 0.742711i | −0.00966214 | − | 0.0241349i | 0.923458 | − | 0.383698i | \(-0.125350\pi\) |
−0.933121 | + | 0.359564i | \(0.882926\pi\) | |||||||
\(948\) | −17.8842 | + | 2.55624i | −0.580851 | + | 0.0830229i | ||||
\(949\) | −0.522002 | − | 0.208978i | −0.0169449 | − | 0.00678372i | ||||
\(950\) | 1.91741 | + | 7.90369i | 0.0622092 | + | 0.256430i | ||||
\(951\) | −42.4180 | + | 4.01499i | −1.37550 | + | 0.130195i | ||||
\(952\) | −14.6722 | + | 15.0823i | −0.475528 | + | 0.488819i | ||||
\(953\) | −2.05557 | − | 7.00064i | −0.0665865 | − | 0.226773i | 0.919477 | − | 0.393145i | \(-0.128613\pi\) |
−0.986063 | + | 0.166372i | \(0.946795\pi\) | |||||||
\(954\) | 4.83947 | + | 10.6436i | 0.156684 | + | 0.344598i | ||||
\(955\) | −46.2211 | + | 15.9973i | −1.49568 | + | 0.517660i | ||||
\(956\) | 4.89255 | + | 1.18692i | 0.158236 | + | 0.0383877i | ||||
\(957\) | −12.1622 | − | 23.6395i | −0.393149 | − | 0.764156i | ||||
\(958\) | 3.41787 | + | 5.31831i | 0.110426 | + | 0.171827i | ||||
\(959\) | 3.21154 | + | 37.6110i | 0.103706 | + | 1.21452i | ||||
\(960\) | 4.84884 | + | 1.68270i | 0.156496 | + | 0.0543088i | ||||
\(961\) | −29.7642 | + | 2.84214i | −0.960137 | + | 0.0916820i | ||||
\(962\) | 0.0347865 | + | 0.0273564i | 0.00112156 | + | 0.000882006i | ||||
\(963\) | −12.6393 | + | 24.4175i | −0.407297 | + | 0.786843i | ||||
\(964\) | 1.40297 | + | 0.485573i | 0.0451866 | + | 0.0156392i | ||||
\(965\) | −19.8193 | −0.638004 | ||||||||
\(966\) | −15.8965 | + | 15.1757i | −0.511462 | + | 0.488269i | ||||
\(967\) | −42.7997 | −1.37635 | −0.688173 | − | 0.725546i | \(-0.741587\pi\) | ||||
−0.688173 | + | 0.725546i | \(0.741587\pi\) | |||||||
\(968\) | −25.2330 | − | 8.73323i | −0.811020 | − | 0.280697i | ||||
\(969\) | 29.6307 | + | 0.0245333i | 0.951875 | + | 0.000788123i | ||||
\(970\) | −35.9242 | − | 28.2511i | −1.15346 | − | 0.907088i | ||||
\(971\) | 40.4976 | − | 3.86705i | 1.29963 | − | 0.124100i | 0.577805 | − | 0.816175i | \(-0.303909\pi\) |
0.721825 | + | 0.692075i | \(0.243303\pi\) | |||||||
\(972\) | −9.68679 | + | 12.2134i | −0.310704 | + | 0.391744i | ||||
\(973\) | −2.04205 | + | 1.42352i | −0.0654651 | + | 0.0456361i | ||||
\(974\) | 5.80748 | + | 9.03661i | 0.186084 | + | 0.289552i | ||||
\(975\) | 0.560596 | − | 0.288420i | 0.0179534 | − | 0.00923684i | ||||
\(976\) | −0.568491 | − | 0.137914i | −0.0181969 | − | 0.00441453i | ||||
\(977\) | −17.6738 | + | 6.11697i | −0.565436 | + | 0.195699i | −0.594806 | − | 0.803869i | \(-0.702771\pi\) |
0.0293701 | + | 0.999569i | \(0.490650\pi\) | |||||||
\(978\) | 1.20359 | + | 0.948125i | 0.0384865 | + | 0.0303177i | ||||
\(979\) | −16.8948 | − | 57.5385i | −0.539961 | − | 1.83894i | ||||
\(980\) | 16.5586 | − | 12.4931i | 0.528944 | − | 0.399078i | ||||
\(981\) | −31.5180 | − | 12.6785i | −1.00629 | − | 0.404793i | ||||
\(982\) | 7.08090 | + | 29.1879i | 0.225961 | + | 0.931422i | ||||
\(983\) | −27.7685 | − | 11.1168i | −0.885677 | − | 0.354572i | −0.116185 | − | 0.993228i | \(-0.537066\pi\) |
−0.769492 | + | 0.638656i | \(0.779491\pi\) | |||||||
\(984\) | −0.885541 | − | 6.19548i | −0.0282300 | − | 0.197505i | ||||
\(985\) | −7.74436 | − | 19.3445i | −0.246756 | − | 0.616367i | ||||
\(986\) | −16.7243 | − | 10.7480i | −0.532609 | − | 0.342287i | ||||
\(987\) | −4.77571 | − | 2.24391i | −0.152013 | − | 0.0714244i | ||||
\(988\) | −0.207081 | −0.00658812 | ||||||||
\(989\) | 22.0010 | + | 1.84689i | 0.699590 | + | 0.0587277i | ||||
\(990\) | 54.3460 | − | 5.09861i | 1.72723 | − | 0.162045i | ||||
\(991\) | 10.0569 | − | 1.93831i | 0.319468 | − | 0.0615723i | −0.0269966 | − | 0.999636i | \(-0.508594\pi\) |
0.346464 | + | 0.938063i | \(0.387382\pi\) | |||||||
\(992\) | −0.0499127 | + | 1.04780i | −0.00158473 | + | 0.0332676i | ||||
\(993\) | −14.3329 | − | 10.2243i | −0.454841 | − | 0.324459i | ||||
\(994\) | 30.4031 | + | 19.9721i | 0.964327 | + | 0.633475i | ||||
\(995\) | 46.1614 | − | 6.63701i | 1.46341 | − | 0.210407i | ||||
\(996\) | 5.54370 | + | 1.34975i | 0.175659 | + | 0.0427684i | ||||
\(997\) | −11.8447 | + | 0.564234i | −0.375127 | + | 0.0178695i | −0.234299 | − | 0.972165i | \(-0.575279\pi\) |
−0.140828 | + | 0.990034i | \(0.544976\pi\) | |||||||
\(998\) | 1.98651 | − | 20.8036i | 0.0628818 | − | 0.658528i | ||||
\(999\) | −1.94229 | − | 1.39038i | −0.0614514 | − | 0.0439898i |
(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 | 966.2.bd.a.59.17 | ✓ | 1280 | |
3.2 | odd | 2 | inner | 966.2.bd.a.59.59 | yes | 1280 | |
7.5 | odd | 6 | inner | 966.2.bd.a.887.59 | yes | 1280 | |
21.5 | even | 6 | inner | 966.2.bd.a.887.28 | yes | 1280 | |
23.16 | even | 11 | inner | 966.2.bd.a.269.28 | yes | 1280 | |
69.62 | odd | 22 | inner | 966.2.bd.a.269.59 | yes | 1280 | |
161.131 | odd | 66 | inner | 966.2.bd.a.131.59 | yes | 1280 | |
483.131 | even | 66 | inner | 966.2.bd.a.131.17 | yes | 1280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.bd.a.59.17 | ✓ | 1280 | 1.1 | even | 1 | trivial | |
966.2.bd.a.59.59 | yes | 1280 | 3.2 | odd | 2 | inner | |
966.2.bd.a.131.17 | yes | 1280 | 483.131 | even | 66 | inner | |
966.2.bd.a.131.59 | yes | 1280 | 161.131 | odd | 66 | inner | |
966.2.bd.a.269.28 | yes | 1280 | 23.16 | even | 11 | inner | |
966.2.bd.a.269.59 | yes | 1280 | 69.62 | odd | 22 | inner | |
966.2.bd.a.887.28 | yes | 1280 | 21.5 | even | 6 | inner | |
966.2.bd.a.887.59 | yes | 1280 | 7.5 | odd | 6 | inner |