Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [261,2,Mod(82,261)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(261, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("261.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 261 = 3^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 261.k (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.08409549276\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{18} - 5 x^{17} + 15 x^{16} - 32 x^{15} + 66 x^{14} - 115 x^{13} + 272 x^{12} - 387 x^{11} + 762 x^{10} + \cdots + 49 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 87) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 136.2 | ||
Root | \(0.719749 - 0.902536i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 261.136 |
Dual form | 261.2.k.b.190.2 |
$q$-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 \(\left(\mathbb{Z}/261\mathbb{Z}\right)^\times\).
\(n\) | \(118\) | \(146\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.04007 | − | 0.500870i | 0.735438 | − | 0.354169i | −0.0283821 | − | 0.999597i | \(-0.509036\pi\) |
0.763821 | + | 0.645429i | \(0.223321\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.416111 | + | 0.521786i | −0.208055 | + | 0.260893i | ||||
\(5\) | −3.10796 | + | 1.49671i | −1.38992 | + | 0.669351i | −0.971090 | − | 0.238713i | \(-0.923274\pi\) |
−0.418831 | + | 0.908064i | \(0.637560\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.81664 | + | 3.53195i | 1.06459 | + | 1.33495i | 0.939402 | + | 0.342819i | \(0.111382\pi\) |
0.125187 | + | 0.992133i | \(0.460047\pi\) | |||||||
\(8\) | −0.685187 | + | 3.00200i | −0.242250 | + | 1.06137i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.48283 | + | 3.11337i | −0.785139 | + | 0.984533i | ||||
\(11\) | −0.123323 | − | 0.540315i | −0.0371834 | − | 0.162911i | 0.952927 | − | 0.303198i | \(-0.0980545\pi\) |
−0.990111 | + | 0.140287i | \(0.955197\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.614154 | − | 2.69078i | −0.170336 | − | 0.746289i | −0.985861 | − | 0.167567i | \(-0.946409\pi\) |
0.815525 | − | 0.578722i | \(-0.196448\pi\) | |||||||
\(14\) | 4.69854 | + | 2.26270i | 1.25574 | + | 0.604731i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.493954 | + | 2.16416i | 0.123489 | + | 0.541039i | ||||
\(17\) | 2.99688 | 0.726851 | 0.363426 | − | 0.931623i | \(-0.381607\pi\) | ||||
0.363426 | + | 0.931623i | \(0.381607\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.173453 | + | 0.217503i | −0.0397928 | + | 0.0498985i | −0.801330 | − | 0.598223i | \(-0.795874\pi\) |
0.761537 | + | 0.648122i | \(0.224445\pi\) | |||||||
\(20\) | 0.512290 | − | 2.24449i | 0.114552 | − | 0.501883i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.398892 | − | 0.500195i | −0.0850440 | − | 0.106642i | ||||
\(23\) | 0.836001 | + | 0.402597i | 0.174318 | + | 0.0839472i | 0.519008 | − | 0.854770i | \(-0.326302\pi\) |
−0.344690 | + | 0.938717i | \(0.612016\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.30181 | − | 5.39430i | 0.860362 | − | 1.07886i | ||||
\(26\) | −1.98649 | − | 2.49098i | −0.389583 | − | 0.488522i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.01496 | −0.569773 | ||||||||
\(29\) | 5.37860 | + | 0.265855i | 0.998781 | + | 0.0493681i | ||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.21748 | + | 3.95733i | −1.47590 | + | 0.710757i | −0.986871 | − | 0.161509i | \(-0.948364\pi\) |
−0.489031 | + | 0.872266i | \(0.662650\pi\) | |||||||
\(32\) | −2.24199 | − | 2.81137i | −0.396332 | − | 0.496985i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.11696 | − | 1.50105i | 0.534554 | − | 0.257428i | ||||
\(35\) | −14.0403 | − | 6.76146i | −2.37325 | − | 1.14290i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.52987 | − | 6.70278i | 0.251509 | − | 1.10193i | −0.678560 | − | 0.734545i | \(-0.737396\pi\) |
0.930069 | − | 0.367386i | \(-0.119747\pi\) | |||||||
\(38\) | −0.0714618 | + | 0.313095i | −0.0115926 | + | 0.0507907i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.36360 | − | 10.3556i | −0.373718 | − | 1.63737i | ||||
\(41\) | 2.85317 | 0.445591 | 0.222795 | − | 0.974865i | \(-0.428482\pi\) | ||||
0.222795 | + | 0.974865i | \(0.428482\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.1079 | + | 4.86770i | 1.54144 | + | 0.742317i | 0.995433 | − | 0.0954657i | \(-0.0304340\pi\) |
0.546004 | + | 0.837783i | \(0.316148\pi\) | |||||||
\(44\) | 0.333245 | + | 0.160482i | 0.0502386 | + | 0.0241936i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.07115 | 0.157932 | ||||||||
\(47\) | 0.933590 | + | 4.09033i | 0.136178 | + | 0.596635i | 0.996254 | + | 0.0864700i | \(0.0275587\pi\) |
−0.860076 | + | 0.510165i | \(0.829584\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.98359 | + | 13.0720i | −0.426227 | + | 1.86742i | ||||
\(50\) | 1.77233 | − | 7.76508i | 0.250645 | − | 1.09815i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.65957 | + | 0.799207i | 0.230141 | + | 0.110830i | ||||
\(53\) | −1.87299 | + | 0.901986i | −0.257275 | + | 0.123897i | −0.558076 | − | 0.829790i | \(-0.688460\pi\) |
0.300801 | + | 0.953687i | \(0.402746\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.19198 | + | 1.49470i | 0.160727 | + | 0.201545i | ||||
\(56\) | −12.5328 | + | 6.03550i | −1.67477 | + | 0.806527i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.72726 | − | 2.41747i | 0.752026 | − | 0.317429i | ||||
\(59\) | 14.2670 | 1.85741 | 0.928703 | − | 0.370824i | \(-0.120925\pi\) | ||||
0.928703 | + | 0.370824i | \(0.120925\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.50873 | − | 5.65377i | −0.577284 | − | 0.723891i | 0.404363 | − | 0.914599i | \(-0.367493\pi\) |
−0.981647 | + | 0.190707i | \(0.938922\pi\) | |||||||
\(62\) | −6.56462 | + | 8.23177i | −0.833708 | + | 1.04544i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.73992 | − | 3.72735i | −0.967490 | − | 0.465919i | ||||
\(65\) | 5.93610 | + | 7.44363i | 0.736282 | + | 0.923269i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.73383 | − | 11.9777i | 0.333990 | − | 1.46331i | −0.477340 | − | 0.878719i | \(-0.658399\pi\) |
0.811330 | − | 0.584588i | \(-0.198744\pi\) | |||||||
\(68\) | −1.24704 | + | 1.56373i | −0.151225 | + | 0.189631i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −17.9895 | −2.15015 | ||||||||
\(71\) | −0.530060 | − | 2.32234i | −0.0629065 | − | 0.275611i | 0.933686 | − | 0.358092i | \(-0.116573\pi\) |
−0.996593 | + | 0.0824811i | \(0.973716\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.822693 | + | 0.396188i | 0.0962889 | + | 0.0463703i | 0.481408 | − | 0.876496i | \(-0.340125\pi\) |
−0.385119 | + | 0.922867i | \(0.625840\pi\) | |||||||
\(74\) | −1.76606 | − | 7.73761i | −0.205300 | − | 0.899479i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0413145 | − | 0.181010i | −0.00473909 | − | 0.0207633i | ||||
\(77\) | 1.56101 | − | 1.95744i | 0.177893 | − | 0.223071i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.460193 | + | 2.01624i | −0.0517758 | + | 0.226845i | −0.994196 | − | 0.107588i | \(-0.965687\pi\) |
0.942420 | + | 0.334432i | \(0.108545\pi\) | |||||||
\(80\) | −4.77431 | − | 5.98680i | −0.533784 | − | 0.669345i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.96749 | − | 1.42907i | 0.327705 | − | 0.157814i | ||||
\(83\) | 6.83994 | − | 8.57702i | 0.750781 | − | 0.941450i | −0.248852 | − | 0.968542i | \(-0.580053\pi\) |
0.999633 | + | 0.0270916i | \(0.00862459\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.31420 | + | 4.48548i | −1.01027 | + | 0.486519i | ||||
\(86\) | 12.9510 | 1.39654 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.70652 | 0.181916 | ||||||||
\(89\) | −6.13283 | + | 2.95341i | −0.650078 | + | 0.313061i | −0.729703 | − | 0.683764i | \(-0.760342\pi\) |
0.0796253 | + | 0.996825i | \(0.474628\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.77387 | − | 9.74812i | 0.814923 | − | 1.02188i | ||||
\(92\) | −0.557938 | + | 0.268689i | −0.0581691 | + | 0.0280128i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.01972 | + | 3.78661i | 0.311460 | + | 0.390559i | ||||
\(95\) | 0.213544 | − | 0.935599i | 0.0219092 | − | 0.0959904i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.19244 | + | 2.74924i | −0.222609 | + | 0.279143i | −0.880577 | − | 0.473903i | \(-0.842845\pi\) |
0.657968 | + | 0.753046i | \(0.271416\pi\) | |||||||
\(98\) | 3.44422 | + | 15.0901i | 0.347918 | + | 1.52433i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.02464 | + | 4.48925i | 0.102464 | + | 0.448925i | ||||
\(101\) | −11.4159 | − | 5.49760i | −1.13592 | − | 0.547032i | −0.231147 | − | 0.972919i | \(-0.574248\pi\) |
−0.904776 | + | 0.425887i | \(0.859962\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.448946 | − | 1.96696i | −0.0442359 | − | 0.193810i | 0.947982 | − | 0.318324i | \(-0.103120\pi\) |
−0.992218 | + | 0.124514i | \(0.960263\pi\) | |||||||
\(104\) | 8.49854 | 0.833350 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.49626 | + | 1.87625i | −0.145330 | + | 0.182238i | ||||
\(107\) | −0.127292 | + | 0.557702i | −0.0123058 | + | 0.0539151i | −0.980708 | − | 0.195478i | \(-0.937374\pi\) |
0.968402 | + | 0.249393i | \(0.0802312\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.1384 | + | 15.2210i | 1.16264 | + | 1.45791i | 0.863962 | + | 0.503557i | \(0.167976\pi\) |
0.298682 | + | 0.954353i | \(0.403453\pi\) | |||||||
\(110\) | 1.98839 | + | 0.957557i | 0.189585 | + | 0.0912995i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −6.25240 | + | 7.84026i | −0.590797 | + | 0.740835i | ||||
\(113\) | −1.51936 | − | 1.90522i | −0.142929 | − | 0.179228i | 0.705214 | − | 0.708994i | \(-0.250851\pi\) |
−0.848143 | + | 0.529767i | \(0.822279\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.20083 | −0.298479 | ||||||||
\(116\) | −2.37681 | + | 2.69585i | −0.220681 | + | 0.250304i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 14.8386 | − | 7.14592i | 1.36601 | − | 0.657835i | ||||
\(119\) | 8.44114 | + | 10.5849i | 0.773798 | + | 0.970312i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.63393 | − | 4.63945i | 0.875811 | − | 0.421769i | ||||
\(122\) | −7.52119 | − | 3.62201i | −0.680936 | − | 0.327922i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.35450 | − | 5.93446i | 0.121638 | − | 0.532930i | ||||
\(125\) | −1.45811 | + | 6.38840i | −0.130417 | + | 0.571396i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.04476 | + | 8.95869i | 0.181443 | + | 0.794955i | 0.980944 | + | 0.194290i | \(0.0622403\pi\) |
−0.799501 | + | 0.600665i | \(0.794903\pi\) | |||||||
\(128\) | −2.72519 | −0.240875 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 9.90223 | + | 4.76866i | 0.868483 | + | 0.418240i | ||||
\(131\) | −11.7972 | − | 5.68123i | −1.03073 | − | 0.496372i | −0.159471 | − | 0.987203i | \(-0.550979\pi\) |
−0.871255 | + | 0.490831i | \(0.836693\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.25676 | −0.108975 | ||||||||
\(134\) | −3.15590 | − | 13.8269i | −0.272628 | − | 1.19446i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.05343 | + | 8.99665i | −0.176080 | + | 0.771456i | ||||
\(137\) | −1.69127 | + | 7.40992i | −0.144495 | + | 0.633072i | 0.849864 | + | 0.527002i | \(0.176684\pi\) |
−0.994359 | + | 0.106070i | \(0.966173\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.97635 | − | 3.84121i | −0.676545 | − | 0.325807i | 0.0638687 | − | 0.997958i | \(-0.479656\pi\) |
−0.740414 | + | 0.672151i | \(0.765370\pi\) | |||||||
\(140\) | 9.37036 | − | 4.51253i | 0.791940 | − | 0.381378i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.71449 | − | 2.14990i | −0.143877 | − | 0.180416i | ||||
\(143\) | −1.37813 | + | 0.663673i | −0.115245 | + | 0.0554991i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −17.1144 | + | 7.22396i | −1.42127 | + | 0.599917i | ||||
\(146\) | 1.05409 | 0.0872375 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.86083 | + | 3.58736i | 0.235159 | + | 0.294879i | ||||
\(149\) | −4.96925 | + | 6.23124i | −0.407097 | + | 0.510483i | −0.942542 | − | 0.334087i | \(-0.891572\pi\) |
0.535446 | + | 0.844570i | \(0.320144\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.0950717 | + | 0.0457841i | 0.00773683 | + | 0.00372586i | 0.437748 | − | 0.899098i | \(-0.355776\pi\) |
−0.430011 | + | 0.902823i | \(0.641490\pi\) | |||||||
\(152\) | −0.534096 | − | 0.669735i | −0.0433209 | − | 0.0543226i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.643129 | − | 2.81773i | 0.0518248 | − | 0.227059i | ||||
\(155\) | 19.6166 | − | 24.5984i | 1.57564 | − | 1.97579i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.5037 | −1.07771 | −0.538857 | − | 0.842397i | \(-0.681144\pi\) | ||||
−0.538857 | + | 0.842397i | \(0.681144\pi\) | |||||||
\(158\) | 0.531241 | + | 2.32752i | 0.0422633 | + | 0.185168i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 11.1758 | + | 5.38201i | 0.883528 | + | 0.425485i | ||||
\(161\) | 0.932758 | + | 4.08668i | 0.0735117 | + | 0.322076i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.581624 | + | 2.54826i | 0.0455563 | + | 0.199595i | 0.992585 | − | 0.121554i | \(-0.0387879\pi\) |
−0.947028 | + | 0.321150i | \(0.895931\pi\) | |||||||
\(164\) | −1.18724 | + | 1.48875i | −0.0927076 | + | 0.116252i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.81803 | − | 12.3466i | 0.218722 | − | 0.958282i | ||||
\(167\) | 6.37129 | + | 7.98935i | 0.493026 | + | 0.618235i | 0.964640 | − | 0.263570i | \(-0.0849001\pi\) |
−0.471615 | + | 0.881805i | \(0.656329\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.84946 | − | 2.33538i | 0.373036 | − | 0.179645i | ||||
\(170\) | −7.44075 | + | 9.33040i | −0.570679 | + | 0.715609i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.74589 | + | 3.24865i | −0.514370 | + | 0.247707i | ||||
\(173\) | −23.0919 | −1.75564 | −0.877822 | − | 0.478987i | \(-0.841004\pi\) | ||||
−0.877822 | + | 0.478987i | \(0.841004\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 31.1690 | 2.35616 | ||||||||
\(176\) | 1.10841 | − | 0.533782i | 0.0835495 | − | 0.0402353i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.89927 | + | 6.14350i | −0.367216 | + | 0.460474i | ||||
\(179\) | 13.3241 | − | 6.41655i | 0.995891 | − | 0.479596i | 0.136349 | − | 0.990661i | \(-0.456463\pi\) |
0.859542 | + | 0.511065i | \(0.170749\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.80146 | + | 2.25895i | 0.133901 | + | 0.167907i | 0.844261 | − | 0.535931i | \(-0.180039\pi\) |
−0.710360 | + | 0.703838i | \(0.751468\pi\) | |||||||
\(182\) | 3.20280 | − | 14.0324i | 0.237408 | − | 1.04015i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.78141 | + | 2.23382i | −0.131327 | + | 0.164679i | ||||
\(185\) | 5.27739 | + | 23.1218i | 0.388001 | + | 1.69994i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.369586 | − | 1.61926i | −0.0270268 | − | 0.118412i | ||||
\(188\) | −2.52275 | − | 1.21489i | −0.183991 | − | 0.0886052i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.246513 | − | 1.08004i | −0.0178839 | − | 0.0783546i | ||||
\(191\) | 4.66376 | 0.337458 | 0.168729 | − | 0.985663i | \(-0.446034\pi\) | ||||
0.168729 | + | 0.985663i | \(0.446034\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.09293 | + | 11.4022i | −0.654523 | + | 0.820746i | −0.992735 | − | 0.120324i | \(-0.961607\pi\) |
0.338212 | + | 0.941070i | \(0.390178\pi\) | |||||||
\(194\) | −0.903278 | + | 3.95752i | −0.0648516 | + | 0.284133i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.57926 | − | 6.99618i | −0.398519 | − | 0.499727i | ||||
\(197\) | 2.60517 | + | 1.25458i | 0.185611 | + | 0.0893855i | 0.524381 | − | 0.851484i | \(-0.324297\pi\) |
−0.338770 | + | 0.940869i | \(0.610011\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.52561 | − | 3.16701i | 0.179036 | − | 0.224504i | −0.684213 | − | 0.729282i | \(-0.739854\pi\) |
0.863249 | + | 0.504778i | \(0.168426\pi\) | |||||||
\(200\) | 13.2461 | + | 16.6101i | 0.936643 | + | 1.17451i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −14.6269 | −1.02914 | ||||||||
\(203\) | 14.2106 | + | 19.7458i | 0.997387 | + | 1.38588i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.86755 | + | 4.27039i | −0.619336 | + | 0.298257i | ||||
\(206\) | −1.45212 | − | 1.82091i | −0.101174 | − | 0.126869i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.51991 | − | 2.65825i | 0.382737 | − | 0.184316i | ||||
\(209\) | 0.138911 | + | 0.0668958i | 0.00960865 | + | 0.00462728i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.93029 | − | 12.8385i | 0.201730 | − | 0.883836i | −0.768154 | − | 0.640266i | \(-0.778824\pi\) |
0.969883 | − | 0.243570i | \(-0.0783186\pi\) | |||||||
\(212\) | 0.308728 | − | 1.35263i | 0.0212036 | − | 0.0928989i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.146944 | + | 0.643805i | 0.0100449 | + | 0.0440096i | ||||
\(215\) | −38.7004 | −2.63935 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −37.1227 | − | 17.8774i | −2.52006 | − | 1.21360i | ||||
\(218\) | 20.2485 | + | 9.75115i | 1.37140 | + | 0.660431i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.27591 | −0.0860217 | ||||||||
\(221\) | −1.84055 | − | 8.06397i | −0.123809 | − | 0.542441i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.39933 | − | 14.8934i | 0.227636 | − | 0.997338i | −0.723925 | − | 0.689878i | \(-0.757664\pi\) |
0.951561 | − | 0.307459i | \(-0.0994788\pi\) | |||||||
\(224\) | 3.61474 | − | 15.8372i | 0.241520 | − | 1.05817i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.53450 | − | 1.22055i | −0.168593 | − | 0.0811899i | ||||
\(227\) | −13.2896 | + | 6.39993i | −0.882061 | + | 0.424778i | −0.819377 | − | 0.573255i | \(-0.805680\pi\) |
−0.0626842 | + | 0.998033i | \(0.519966\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.46791 | + | 8.11051i | 0.427412 | + | 0.535957i | 0.948177 | − | 0.317742i | \(-0.102925\pi\) |
−0.520765 | + | 0.853700i | \(0.674353\pi\) | |||||||
\(230\) | −3.32908 | + | 1.60320i | −0.219513 | + | 0.105712i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.48344 | + | 15.9644i | −0.294352 | + | 1.04811i | ||||
\(233\) | −0.280226 | −0.0183582 | −0.00917911 | − | 0.999958i | \(-0.502922\pi\) | ||||
−0.00917911 | + | 0.999958i | \(0.502922\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.02361 | − | 11.3152i | −0.588635 | − | 0.738125i | ||||
\(236\) | −5.93666 | + | 7.44433i | −0.386443 | + | 0.484585i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 14.0810 | + | 6.78104i | 0.912734 | + | 0.439550i | ||||
\(239\) | −4.01459 | − | 5.03414i | −0.259682 | − | 0.325631i | 0.634849 | − | 0.772636i | \(-0.281062\pi\) |
−0.894532 | + | 0.447005i | \(0.852491\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.43240 | − | 15.0383i | 0.221101 | − | 0.968705i | −0.735551 | − | 0.677470i | \(-0.763077\pi\) |
0.956651 | − | 0.291235i | \(-0.0940663\pi\) | |||||||
\(242\) | 7.69617 | − | 9.65069i | 0.494728 | − | 0.620370i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.82619 | 0.308965 | ||||||||
\(245\) | −10.2921 | − | 45.0927i | −0.657539 | − | 2.88087i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.691779 | + | 0.333143i | 0.0440169 | + | 0.0211974i | ||||
\(248\) | −6.24939 | − | 27.3804i | −0.396837 | − | 1.73866i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.68322 | + | 7.37469i | 0.106456 | + | 0.466416i | ||||
\(251\) | 2.05218 | − | 2.57336i | 0.129533 | − | 0.162429i | −0.712836 | − | 0.701331i | \(-0.752589\pi\) |
0.842368 | + | 0.538902i | \(0.181161\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.114431 | − | 0.501353i | 0.00719419 | − | 0.0315198i | ||||
\(254\) | 6.61383 | + | 8.29347i | 0.414988 | + | 0.520379i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.6455 | − | 6.08973i | 0.790341 | − | 0.380608i | ||||
\(257\) | 0.246680 | − | 0.309326i | 0.0153874 | − | 0.0192953i | −0.774078 | − | 0.633090i | \(-0.781786\pi\) |
0.789466 | + | 0.613795i | \(0.210358\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 27.9830 | − | 13.4759i | 1.73878 | − | 0.837351i | ||||
\(260\) | −6.35406 | −0.394062 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.1154 | −0.933835 | ||||||||
\(263\) | −7.33709 | + | 3.53336i | −0.452425 | + | 0.217876i | −0.646198 | − | 0.763170i | \(-0.723642\pi\) |
0.193773 | + | 0.981046i | \(0.437927\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.47117 | − | 5.60667i | 0.274662 | − | 0.344415i | ||||
\(266\) | −1.30712 | + | 0.629474i | −0.0801445 | + | 0.0385955i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.11222 | + | 6.41052i | 0.312278 | + | 0.391585i | ||||
\(269\) | 1.99769 | − | 8.75246i | 0.121801 | − | 0.533647i | −0.876804 | − | 0.480848i | \(-0.840329\pi\) |
0.998605 | − | 0.0527984i | \(-0.0168141\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.14213 | − | 3.94011i | 0.190871 | − | 0.239344i | −0.677183 | − | 0.735815i | \(-0.736799\pi\) |
0.868054 | + | 0.496470i | \(0.165371\pi\) | |||||||
\(272\) | 1.48032 | + | 6.48573i | 0.0897579 | + | 0.393255i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.95238 | + | 8.55391i | 0.117947 | + | 0.516761i | ||||
\(275\) | −3.44513 | − | 1.65909i | −0.207749 | − | 0.100047i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.452859 | − | 1.98410i | −0.0272097 | − | 0.119213i | 0.959499 | − | 0.281711i | \(-0.0909020\pi\) |
−0.986709 | + | 0.162498i | \(0.948045\pi\) | |||||||
\(278\) | −10.2199 | −0.612948 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 29.9181 | − | 37.5162i | 1.78795 | − | 2.24202i | ||||
\(281\) | 5.30139 | − | 23.2269i | 0.316255 | − | 1.38560i | −0.527811 | − | 0.849362i | \(-0.676987\pi\) |
0.844065 | − | 0.536240i | \(-0.180156\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.34352 | − | 11.7164i | −0.555414 | − | 0.696468i | 0.422288 | − | 0.906462i | \(-0.361227\pi\) |
−0.977703 | + | 0.209994i | \(0.932656\pi\) | |||||||
\(284\) | 1.43233 | + | 0.689774i | 0.0849932 | + | 0.0409306i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.10093 | + | 1.38053i | −0.0650996 | + | 0.0816323i | ||||
\(287\) | 8.03636 | + | 10.0773i | 0.474371 | + | 0.594843i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.01868 | −0.471687 | ||||||||
\(290\) | −14.1818 | + | 16.0855i | −0.832786 | + | 0.944572i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.549057 | + | 0.264412i | −0.0321311 | + | 0.0154735i | ||||
\(293\) | −18.9354 | − | 23.7443i | −1.10622 | − | 1.38715i | −0.913957 | − | 0.405810i | \(-0.866989\pi\) |
−0.192261 | − | 0.981344i | \(-0.561582\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −44.3413 | + | 21.3536i | −2.58165 | + | 1.24326i | ||||
\(296\) | 19.0735 | + | 9.18532i | 1.10863 | + | 0.533886i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2.04731 | + | 8.96985i | −0.118598 | + | 0.519610i | ||||
\(299\) | 0.569868 | − | 2.49675i | 0.0329563 | − | 0.144391i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.2778 | + | 49.4111i | 0.650039 | + | 2.84801i | ||||
\(302\) | 0.121813 | 0.00700954 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.556387 | − | 0.267942i | −0.0319110 | − | 0.0153675i | ||||
\(305\) | 22.4750 | + | 10.8234i | 1.28692 | + | 0.619746i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.10479 | 0.120127 | 0.0600635 | − | 0.998195i | \(-0.480870\pi\) | ||||
0.0600635 | + | 0.998195i | \(0.480870\pi\) | |||||||
\(308\) | 0.371814 | + | 1.62903i | 0.0211861 | + | 0.0928223i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 8.08196 | − | 35.4094i | 0.459025 | − | 2.01112i | ||||
\(311\) | 3.75530 | − | 16.4530i | 0.212943 | − | 0.932965i | −0.749611 | − | 0.661878i | \(-0.769760\pi\) |
0.962555 | − | 0.271087i | \(-0.0873832\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.3609 | − | 6.43428i | −0.755203 | − | 0.363687i | 0.0163375 | − | 0.999867i | \(-0.494799\pi\) |
−0.771541 | + | 0.636180i | \(0.780514\pi\) | |||||||
\(314\) | −14.0448 | + | 6.76361i | −0.792593 | + | 0.381693i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.860555 | − | 1.07910i | −0.0484100 | − | 0.0607042i | ||||
\(317\) | −4.96094 | + | 2.38906i | −0.278634 | + | 0.134183i | −0.567982 | − | 0.823041i | \(-0.692276\pi\) |
0.289348 | + | 0.957224i | \(0.406561\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.519661 | − | 2.93892i | −0.0290954 | − | 0.164548i | ||||
\(320\) | 29.6341 | 1.65660 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.01703 | + | 3.78323i | 0.168132 | + | 0.210831i | ||||
\(323\) | −0.519818 | + | 0.651831i | −0.0289234 | + | 0.0362688i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −17.1569 | − | 8.26231i | −0.951691 | − | 0.458310i | ||||
\(326\) | 1.88127 | + | 2.35904i | 0.104194 | + | 0.130655i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.95496 | + | 8.56523i | −0.107944 | + | 0.472936i | ||||
\(329\) | −11.8172 | + | 14.8184i | −0.651506 | + | 0.816963i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.88833 | −0.323652 | −0.161826 | − | 0.986819i | \(-0.551738\pi\) | ||||
−0.161826 | + | 0.986819i | \(0.551738\pi\) | |||||||
\(332\) | 1.62920 | + | 7.13798i | 0.0894138 | + | 0.391747i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 10.6282 | + | 5.11827i | 0.581549 | + | 0.280059i | ||||
\(335\) | 9.43054 | + | 41.3179i | 0.515246 | + | 2.25744i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.87848 | − | 16.9927i | −0.211274 | − | 0.925652i | −0.963703 | − | 0.266978i | \(-0.913975\pi\) |
0.752428 | − | 0.658674i | \(-0.228882\pi\) | |||||||
\(338\) | 3.87405 | − | 4.85790i | 0.210720 | − | 0.264235i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.53527 | − | 6.72648i | 0.0832619 | − | 0.364794i | ||||
\(341\) | 3.15161 | + | 3.95199i | 0.170669 | + | 0.214012i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −26.0821 | + | 12.5605i | −1.40830 | + | 0.678201i | ||||
\(344\) | −21.5386 | + | 27.0086i | −1.16128 | + | 1.45620i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −24.0171 | + | 11.5660i | −1.29117 | + | 0.621794i | ||||
\(347\) | 2.81562 | 0.151150 | 0.0755751 | − | 0.997140i | \(-0.475921\pi\) | ||||
0.0755751 | + | 0.997140i | \(0.475921\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 23.4949 | 1.25765 | 0.628826 | − | 0.777546i | \(-0.283536\pi\) | ||||
0.628826 | + | 0.777546i | \(0.283536\pi\) | |||||||
\(350\) | 32.4179 | − | 15.6116i | 1.73281 | − | 0.834477i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.24254 | + | 1.55809i | −0.0662274 | + | 0.0830465i | ||||
\(353\) | 14.5563 | − | 7.00993i | 0.774752 | − | 0.373101i | −0.00435584 | − | 0.999991i | \(-0.501387\pi\) |
0.779108 | + | 0.626889i | \(0.215672\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.12329 | + | 6.42440i | 0.271916 | + | 0.340972i | ||||
\(356\) | 1.01088 | − | 4.42897i | 0.0535767 | − | 0.234735i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10.6441 | − | 13.3473i | 0.562559 | − | 0.705426i | ||||
\(359\) | −1.92263 | − | 8.42361i | −0.101473 | − | 0.444581i | −0.999984 | − | 0.00563099i | \(-0.998208\pi\) |
0.898511 | − | 0.438950i | \(-0.144650\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.21068 | + | 18.4482i | 0.221615 | + | 0.970957i | ||||
\(362\) | 3.00508 | + | 1.44717i | 0.157943 | + | 0.0760615i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.85165 | + | 8.11260i | 0.0970527 | + | 0.425216i | ||||
\(365\) | −3.14988 | −0.164872 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.38364 | − | 10.5127i | 0.437622 | − | 0.548761i | −0.513293 | − | 0.858214i | \(-0.671574\pi\) |
0.950915 | + | 0.309453i | \(0.100146\pi\) | |||||||
\(368\) | −0.458336 | + | 2.00810i | −0.0238924 | + | 0.104679i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 17.0698 | + | 21.4049i | 0.887418 | + | 1.11279i | ||||
\(371\) | −8.46131 | − | 4.07475i | −0.439289 | − | 0.211551i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.99095 | + | 2.49657i | −0.103088 | + | 0.129268i | −0.830699 | − | 0.556722i | \(-0.812059\pi\) |
0.727611 | + | 0.685989i | \(0.240630\pi\) | |||||||
\(374\) | −1.19543 | − | 1.49903i | −0.0618144 | − | 0.0775128i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −12.9188 | −0.666238 | ||||||||
\(377\) | −2.58793 | − | 14.6359i | −0.133285 | − | 0.753788i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.8677 | − | 7.15991i | 0.763703 | − | 0.367780i | −0.0111367 | − | 0.999938i | \(-0.503545\pi\) |
0.774839 | + | 0.632158i | \(0.217831\pi\) | |||||||
\(380\) | 0.399325 | + | 0.500737i | 0.0204849 | + | 0.0256873i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.85062 | − | 2.33594i | 0.248179 | − | 0.119517i | ||||
\(383\) | 1.42189 | + | 0.684747i | 0.0726553 | + | 0.0349889i | 0.469859 | − | 0.882742i | \(-0.344305\pi\) |
−0.397203 | + | 0.917731i | \(0.630019\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.92182 | + | 8.42003i | −0.0979449 | + | 0.429125i | ||||
\(386\) | −3.74625 | + | 16.4134i | −0.190679 | + | 0.835420i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.522215 | − | 2.28797i | −0.0265114 | − | 0.116154i | ||||
\(389\) | 14.0108 | 0.710375 | 0.355188 | − | 0.934795i | \(-0.384417\pi\) | ||||
0.355188 | + | 0.934795i | \(0.384417\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.50540 | + | 1.20654i | 0.126703 | + | 0.0610171i | ||||
\(392\) | −37.1977 | − | 17.9135i | −1.87877 | − | 0.904766i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.33794 | 0.168163 | ||||||||
\(395\) | −1.58747 | − | 6.95517i | −0.0798744 | − | 0.349952i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.32177 | + | 23.3162i | −0.267092 | + | 1.17021i | 0.646286 | + | 0.763095i | \(0.276321\pi\) |
−0.913378 | + | 0.407112i | \(0.866536\pi\) | |||||||
\(398\) | 1.04054 | − | 4.55891i | 0.0521576 | − | 0.228517i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 13.7990 | + | 6.64525i | 0.689950 | + | 0.332262i | ||||
\(401\) | −32.3263 | + | 15.5675i | −1.61430 | + | 0.777406i | −0.999933 | − | 0.0116132i | \(-0.996303\pi\) |
−0.614368 | + | 0.789019i | \(0.710589\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 15.6951 | + | 19.6810i | 0.781829 | + | 0.980383i | ||||
\(404\) | 7.61885 | − | 3.66904i | 0.379052 | − | 0.182542i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 24.6700 | + | 13.4193i | 1.22435 | + | 0.665987i | ||||
\(407\) | −3.81028 | −0.188869 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.36367 | + | 11.7417i | 0.463004 | + | 0.580588i | 0.957442 | − | 0.288624i | \(-0.0931978\pi\) |
−0.494439 | + | 0.869212i | \(0.664626\pi\) | |||||||
\(410\) | −7.08394 | + | 8.88298i | −0.349851 | + | 0.438699i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.21314 | + | 0.584219i | 0.0597673 | + | 0.0287824i | ||||
\(413\) | 40.1850 | + | 50.3904i | 1.97737 | + | 2.47955i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.42092 | + | 36.8945i | −0.413367 | + | 1.81108i | ||||
\(416\) | −6.18786 | + | 7.75934i | −0.303385 | + | 0.380433i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.177983 | 0.00870541 | ||||||||
\(419\) | 8.22309 | + | 36.0277i | 0.401724 | + | 1.76007i | 0.620415 | + | 0.784274i | \(0.286964\pi\) |
−0.218691 | + | 0.975794i | \(0.570179\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.15916 | − | 0.558222i | −0.0564940 | − | 0.0272061i | 0.405423 | − | 0.914129i | \(-0.367124\pi\) |
−0.461917 | + | 0.886923i | \(0.652838\pi\) | |||||||
\(422\) | −3.38269 | − | 14.8206i | −0.164667 | − | 0.721453i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.42441 | − | 6.24075i | −0.0691755 | − | 0.303078i | ||||
\(425\) | 12.8920 | − | 16.1661i | 0.625355 | − | 0.784170i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.26938 | − | 31.8492i | 0.351790 | − | 1.54129i | ||||
\(428\) | −0.238034 | − | 0.298485i | −0.0115058 | − | 0.0144278i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −40.2510 | + | 19.3839i | −1.94108 | + | 0.934774i | ||||
\(431\) | 15.7634 | − | 19.7667i | 0.759298 | − | 0.952130i | −0.240531 | − | 0.970642i | \(-0.577321\pi\) |
0.999829 | + | 0.0185118i | \(0.00589284\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.33295 | − | 4.49451i | 0.448513 | − | 0.215993i | −0.195972 | − | 0.980610i | \(-0.562786\pi\) |
0.644485 | + | 0.764617i | \(0.277072\pi\) | |||||||
\(434\) | −47.5644 | −2.28316 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −12.9930 | −0.622253 | ||||||||
\(437\) | −0.232572 | + | 0.112001i | −0.0111254 | + | 0.00535773i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.35161 | + | 10.4726i | −0.398601 | + | 0.499829i | −0.940113 | − | 0.340864i | \(-0.889281\pi\) |
0.541512 | + | 0.840693i | \(0.317852\pi\) | |||||||
\(440\) | −5.30381 | + | 2.55418i | −0.252849 | + | 0.121766i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.95329 | − | 7.46519i | −0.283169 | − | 0.355083i | ||||
\(443\) | 6.85215 | − | 30.0213i | 0.325556 | − | 1.42635i | −0.501951 | − | 0.864896i | \(-0.667384\pi\) |
0.827506 | − | 0.561456i | \(-0.189759\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.6402 | − | 18.3582i | 0.694010 | − | 0.870261i | ||||
\(446\) | −3.92414 | − | 17.1928i | −0.185813 | − | 0.814102i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.63573 | − | 37.8356i | −0.408000 | − | 1.78756i | ||||
\(449\) | 5.54036 | + | 2.66810i | 0.261466 | + | 0.125915i | 0.560025 | − | 0.828476i | \(-0.310792\pi\) |
−0.298559 | + | 0.954391i | \(0.596506\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.351863 | − | 1.54161i | −0.0165686 | − | 0.0725917i | ||||
\(452\) | 1.62634 | 0.0764965 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.6165 | + | 13.3127i | −0.498259 | + | 0.624797i | ||||
\(455\) | −9.57071 | + | 41.9320i | −0.448682 | + | 1.96580i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.6275 | − | 13.3265i | −0.497134 | − | 0.623386i | 0.468446 | − | 0.883492i | \(-0.344814\pi\) |
−0.965580 | + | 0.260106i | \(0.916242\pi\) | |||||||
\(458\) | 10.7894 | + | 5.19589i | 0.504154 | + | 0.242788i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.33190 | − | 1.67015i | 0.0621001 | − | 0.0778711i | ||||
\(461\) | 10.3278 | + | 12.9506i | 0.481012 | + | 0.603170i | 0.961829 | − | 0.273651i | \(-0.0882313\pi\) |
−0.480817 | + | 0.876821i | \(0.659660\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 28.9072 | 1.34343 | 0.671715 | − | 0.740809i | \(-0.265558\pi\) | ||||
0.671715 | + | 0.740809i | \(0.265558\pi\) | |||||||
\(464\) | 2.08143 | + | 11.7714i | 0.0966280 | + | 0.546476i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.291454 | + | 0.140357i | −0.0135013 | + | 0.00650190i | ||||
\(467\) | −14.1479 | − | 17.7409i | −0.654688 | − | 0.820953i | 0.338065 | − | 0.941123i | \(-0.390228\pi\) |
−0.992753 | + | 0.120170i | \(0.961656\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 50.0048 | − | 24.0810i | 2.30901 | − | 1.11196i | ||||
\(470\) | −15.0526 | − | 7.24896i | −0.694326 | − | 0.334370i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.77556 | + | 42.8295i | −0.449957 | + | 1.97139i | ||||
\(473\) | 1.38355 | − | 6.06173i | 0.0636158 | − | 0.278719i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.427114 | + | 1.87131i | 0.0195973 | + | 0.0858616i | ||||
\(476\) | −9.03548 | −0.414140 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.69689 | − | 3.22505i | −0.306309 | − | 0.147511i | ||||
\(479\) | 5.87751 | + | 2.83046i | 0.268550 | + | 0.129327i | 0.563313 | − | 0.826243i | \(-0.309526\pi\) |
−0.294763 | + | 0.955570i | \(0.595241\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −18.9753 | −0.865200 | ||||||||
\(482\) | −3.96232 | − | 17.3601i | −0.180479 | − | 0.790730i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.58798 | + | 6.95738i | −0.0721807 | + | 0.316244i | ||||
\(485\) | 2.69920 | − | 11.8260i | 0.122564 | − | 0.536990i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.1411 | + | 10.1810i | 0.957996 | + | 0.461346i | 0.846482 | − | 0.532417i | \(-0.178716\pi\) |
0.111513 | + | 0.993763i | \(0.464430\pi\) | |||||||
\(488\) | 20.0619 | − | 9.66132i | 0.908161 | − | 0.437347i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −33.2900 | − | 41.7444i | −1.50389 | − | 1.88582i | ||||
\(491\) | −27.0162 | + | 13.0103i | −1.21923 | + | 0.587148i | −0.929096 | − | 0.369839i | \(-0.879413\pi\) |
−0.290130 | + | 0.956987i | \(0.593699\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 16.1190 | + | 0.796738i | 0.725965 | + | 0.0358833i | ||||
\(494\) | 0.886358 | 0.0398791 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.6233 | − | 15.8292i | −0.566805 | − | 0.710750i | ||||
\(497\) | 6.70942 | − | 8.41334i | 0.300958 | − | 0.377390i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.9764 | − | 6.73068i | −0.625669 | − | 0.301307i | 0.0940543 | − | 0.995567i | \(-0.470017\pi\) |
−0.719724 | + | 0.694261i | \(0.755732\pi\) | |||||||
\(500\) | −2.72664 | − | 3.41910i | −0.121939 | − | 0.152907i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.845492 | − | 3.70434i | 0.0377361 | − | 0.165333i | ||||
\(503\) | 9.15733 | − | 11.4829i | 0.408305 | − | 0.511999i | −0.534579 | − | 0.845118i | \(-0.679530\pi\) |
0.942885 | + | 0.333120i | \(0.108101\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 43.7085 | 1.94500 | ||||||||
\(506\) | −0.132097 | − | 0.578755i | −0.00587244 | − | 0.0257288i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.52537 | − | 2.66088i | −0.245149 | − | 0.118057i | ||||
\(509\) | 7.27387 | + | 31.8689i | 0.322408 | + | 1.41256i | 0.833254 | + | 0.552891i | \(0.186475\pi\) |
−0.510845 | + | 0.859673i | \(0.670667\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.917911 | + | 4.02163i | 0.0406060 | + | 0.177906i | ||||
\(512\) | 13.5002 | − | 16.9287i | 0.596631 | − | 0.748151i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.101631 | − | 0.445275i | 0.00448275 | − | 0.0196402i | ||||
\(515\) | 4.33928 | + | 5.44129i | 0.191212 | + | 0.239772i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.09493 | − | 1.00886i | 0.0921349 | − | 0.0443698i | ||||
\(518\) | 22.3545 | − | 28.0317i | 0.982201 | − | 1.23164i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −26.4131 | + | 12.7199i | −1.15829 | + | 0.557804i | ||||
\(521\) | 33.5048 | 1.46787 | 0.733937 | − | 0.679218i | \(-0.237681\pi\) | ||||
0.733937 | + | 0.679218i | \(0.237681\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −23.3879 | −1.02268 | −0.511341 | − | 0.859378i | \(-0.670851\pi\) | ||||
−0.511341 | + | 0.859378i | \(0.670851\pi\) | |||||||
\(524\) | 7.87333 | − | 3.79160i | 0.343948 | − | 0.165637i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.86132 | + | 7.34986i | −0.255566 | + | 0.320469i | ||||
\(527\) | −24.6268 | + | 11.8597i | −1.07276 | + | 0.516615i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.8035 | − | 17.3090i | −0.600150 | − | 0.752564i | ||||
\(530\) | 1.84210 | − | 8.07079i | 0.0800159 | − | 0.350573i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.522952 | − | 0.655761i | 0.0226729 | − | 0.0284309i | ||||
\(533\) | −1.75229 | − | 7.67727i | −0.0759000 | − | 0.332540i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.439103 | − | 1.92384i | −0.0189841 | − | 0.0831747i | ||||
\(536\) | 34.0838 | + | 16.4139i | 1.47220 | + | 0.708972i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.30611 | − | 10.1037i | −0.0994234 | − | 0.435602i | ||||
\(539\) | 7.43091 | 0.320072 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.10698 | + | 11.4198i | −0.391540 | + | 0.490975i | −0.938061 | − | 0.346470i | \(-0.887380\pi\) |
0.546521 | + | 0.837445i | \(0.315952\pi\) | |||||||
\(542\) | 1.29455 | − | 5.67177i | 0.0556055 | − | 0.243624i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −6.71900 | − | 8.42536i | −0.288075 | − | 0.361234i | ||||
\(545\) | −60.5071 | − | 29.1387i | −2.59184 | − | 1.24816i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.68546 | − | 9.63726i | 0.328607 | − | 0.412060i | −0.589893 | − | 0.807481i | \(-0.700830\pi\) |
0.918500 | + | 0.395422i | \(0.129402\pi\) | |||||||
\(548\) | −3.16264 | − | 3.96583i | −0.135101 | − | 0.169412i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −4.41415 | −0.188220 | ||||||||
\(551\) | −0.990756 | + | 1.12375i | −0.0422076 | + | 0.0478732i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.41746 | + | 4.05363i | −0.357947 | + | 0.172378i | ||||
\(554\) | −1.46478 | − | 1.83678i | −0.0622326 | − | 0.0780372i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.32333 | − | 2.56358i | 0.225760 | − | 0.108720i | ||||
\(557\) | −22.4253 | − | 10.7994i | −0.950190 | − | 0.457587i | −0.106437 | − | 0.994319i | \(-0.533944\pi\) |
−0.843753 | + | 0.536732i | \(0.819659\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.89013 | − | 30.1876i | 0.291421 | − | 1.27680i | ||||
\(560\) | 7.69758 | − | 33.7253i | 0.325282 | − | 1.42515i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.11986 | − | 26.8129i | −0.258151 | − | 1.13103i | ||||
\(563\) | −16.2217 | −0.683662 | −0.341831 | − | 0.939762i | \(-0.611047\pi\) | ||||
−0.341831 | + | 0.939762i | \(0.611047\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.57368 | + | 3.64729i | 0.318627 | + | 0.153443i | ||||
\(566\) | −15.5863 | − | 7.50596i | −0.655140 | − | 0.315499i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 7.33486 | 0.307764 | ||||||||
\(569\) | −9.97556 | − | 43.7058i | −0.418197 | − | 1.83224i | −0.542575 | − | 0.840007i | \(-0.682551\pi\) |
0.124378 | − | 0.992235i | \(-0.460307\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.78155 | − | 16.5681i | 0.158253 | − | 0.693352i | −0.832081 | − | 0.554653i | \(-0.812851\pi\) |
0.990335 | − | 0.138699i | \(-0.0442920\pi\) | |||||||
\(572\) | 0.227160 | − | 0.995251i | 0.00949802 | − | 0.0416135i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 13.4058 | + | 6.45587i | 0.559545 | + | 0.269463i | ||||
\(575\) | 5.76804 | − | 2.77774i | 0.240544 | − | 0.115840i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.45830 | − | 4.33657i | −0.143971 | − | 0.180534i | 0.704618 | − | 0.709587i | \(-0.251119\pi\) |
−0.848589 | + | 0.529053i | \(0.822547\pi\) | |||||||
\(578\) | −8.33997 | + | 4.01632i | −0.346897 | + | 0.167057i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.35211 | − | 11.9360i | 0.139189 | − | 0.495616i | ||||
\(581\) | 49.5592 | 2.05606 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.718340 | + | 0.900769i | 0.0297506 | + | 0.0373061i | ||||
\(584\) | −1.75305 | + | 2.19826i | −0.0725419 | + | 0.0909647i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −31.5869 | − | 15.2114i | −1.30484 | − | 0.628379i | ||||
\(587\) | 11.9358 | + | 14.9671i | 0.492644 | + | 0.617756i | 0.964552 | − | 0.263891i | \(-0.0850060\pi\) |
−0.471908 | + | 0.881648i | \(0.656435\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.564613 | − | 2.47373i | 0.0232645 | − | 0.101928i | ||||
\(590\) | −35.4225 | + | 44.4184i | −1.45832 | + | 1.82868i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 15.2616 | 0.627246 | ||||||||
\(593\) | 7.05758 | + | 30.9213i | 0.289820 | + | 1.26978i | 0.884772 | + | 0.466024i | \(0.154314\pi\) |
−0.594952 | + | 0.803761i | \(0.702829\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −42.0772 | − | 20.2633i | −1.72500 | − | 0.830715i | ||||
\(596\) | −1.18362 | − | 5.18577i | −0.0484829 | − | 0.212418i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.657848 | − | 2.88222i | −0.0269014 | − | 0.117863i | ||||
\(599\) | 29.4026 | − | 36.8696i | 1.20136 | − | 1.50645i | 0.391129 | − | 0.920336i | \(-0.372085\pi\) |
0.810227 | − | 0.586117i | \(-0.199344\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.29442 | + | 14.4338i | −0.134382 | + | 0.588766i | 0.862230 | + | 0.506517i | \(0.169067\pi\) |
−0.996612 | + | 0.0822488i | \(0.973790\pi\) | |||||||
\(602\) | 36.4781 | + | 45.7421i | 1.48674 | + | 1.86431i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.0634499 | + | 0.0305559i | −0.00258174 | + | 0.00124330i | ||||
\(605\) | −22.9979 | + | 28.8385i | −0.934998 | + | 1.17245i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.5442 | + | 5.07781i | −0.427975 | + | 0.206102i | −0.635456 | − | 0.772137i | \(-0.719188\pi\) |
0.207481 | + | 0.978239i | \(0.433474\pi\) | |||||||
\(608\) | 1.00036 | 0.0405700 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 28.7967 | 1.16594 | ||||||||
\(611\) | 10.4328 | − | 5.02418i | 0.422066 | − | 0.203256i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −28.6483 | + | 35.9238i | −1.15709 | + | 1.45095i | −0.287091 | + | 0.957903i | \(0.592688\pi\) |
−0.870003 | + | 0.493046i | \(0.835883\pi\) | |||||||
\(614\) | 2.18913 | − | 1.05423i | 0.0883460 | − | 0.0425452i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.80666 | + | 6.02736i | 0.193666 | + | 0.242849i | ||||
\(617\) | −9.15351 | + | 40.1041i | −0.368506 | + | 1.61453i | 0.362378 | + | 0.932031i | \(0.381965\pi\) |
−0.730885 | + | 0.682501i | \(0.760892\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.85196 | + | 2.32229i | −0.0744367 | + | 0.0933407i | −0.817656 | − | 0.575708i | \(-0.804727\pi\) |
0.743219 | + | 0.669048i | \(0.233298\pi\) | |||||||
\(620\) | 4.67245 | + | 20.4713i | 0.187650 | + | 0.822149i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −4.33507 | − | 18.9932i | −0.173820 | − | 0.761557i | ||||
\(623\) | −27.7053 | − | 13.3421i | −1.10999 | − | 0.534542i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.64663 | + | 11.5956i | 0.105865 | + | 0.463825i | ||||
\(626\) | −17.1190 | −0.684212 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 5.61905 | − | 7.04606i | 0.224224 | − | 0.281168i | ||||
\(629\) | 4.58483 | − | 20.0875i | 0.182809 | − | 0.800940i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.4129 | + | 16.8192i | 0.533959 | + | 0.669563i | 0.973507 | − | 0.228656i | \(-0.0734330\pi\) |
−0.439549 | + | 0.898219i | \(0.644862\pi\) | |||||||
\(632\) | −5.73743 | − | 2.76300i | −0.228223 | − | 0.109906i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.96310 | + | 4.96957i | −0.157395 | + | 0.197367i | ||||
\(635\) | −19.7636 | − | 24.7828i | −0.784296 | − | 0.983476i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 37.0062 | 1.46624 | ||||||||
\(638\) | −2.01250 | − | 2.79639i | −0.0796756 | − | 0.110710i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.46978 | − | 4.07883i | 0.334797 | − | 0.161230i | ||||
\(641\) | 20.0815 | + | 25.1814i | 0.793172 | + | 0.994606i | 0.999869 | + | 0.0162011i | \(0.00515721\pi\) |
−0.206697 | + | 0.978405i | \(0.566271\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −35.1799 | + | 16.9417i | −1.38736 | + | 0.668117i | −0.970555 | − | 0.240880i | \(-0.922564\pi\) |
−0.416803 | + | 0.908997i | \(0.636850\pi\) | |||||||
\(644\) | −2.52051 | − | 1.21381i | −0.0993218 | − | 0.0478309i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.214163 | + | 0.938308i | −0.00842612 | + | 0.0369173i | ||||
\(647\) | −0.917446 | + | 4.01959i | −0.0360685 | + | 0.158027i | −0.989755 | − | 0.142776i | \(-0.954397\pi\) |
0.953687 | + | 0.300802i | \(0.0972544\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.75945 | − | 7.70867i | −0.0690646 | − | 0.302592i | ||||
\(650\) | −21.9826 | −0.862229 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.57167 | − | 0.756875i | −0.0615512 | − | 0.0296415i | ||||
\(653\) | −13.7671 | − | 6.62990i | −0.538749 | − | 0.259448i | 0.144663 | − | 0.989481i | \(-0.453790\pi\) |
−0.683412 | + | 0.730033i | \(0.739505\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 45.1684 | 1.76488 | ||||||||
\(656\) | 1.40934 | + | 6.17471i | 0.0550254 | + | 0.241082i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.86866 | + | 21.3310i | −0.189800 | + | 0.831569i | ||||
\(659\) | −7.68022 | + | 33.6492i | −0.299179 | + | 1.31079i | 0.572175 | + | 0.820132i | \(0.306100\pi\) |
−0.871353 | + | 0.490656i | \(0.836757\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.7766 | − | 5.18973i | −0.419160 | − | 0.201857i | 0.212401 | − | 0.977182i | \(-0.431872\pi\) |
−0.631562 | + | 0.775325i | \(0.717586\pi\) | |||||||
\(662\) | −6.12425 | + | 2.94928i | −0.238026 | + | 0.114627i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 21.0616 | + | 26.4104i | 0.817347 | + | 1.02492i | ||||
\(665\) | 3.90597 | − | 1.88101i | 0.151467 | − | 0.0729426i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.38948 | + | 2.38766i | 0.169961 | + | 0.0924506i | ||||
\(668\) | −6.81990 | −0.263870 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 30.5033 | + | 38.2499i | 1.17845 | + | 1.47772i | ||||
\(671\) | −2.49878 | + | 3.13338i | −0.0964645 | + | 0.120963i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.9364 | + | 7.67456i | 0.614303 | + | 0.295833i | 0.715043 | − | 0.699080i | \(-0.246407\pi\) |
−0.100741 | + | 0.994913i | \(0.532121\pi\) | |||||||
\(674\) | −12.5450 | − | 15.7310i | −0.483216 | − | 0.605934i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.799345 | + | 3.50216i | −0.0307440 | + | 0.134698i | ||||
\(677\) | −18.5642 | + | 23.2788i | −0.713480 | + | 0.894675i | −0.997949 | − | 0.0640097i | \(-0.979611\pi\) |
0.284469 | + | 0.958685i | \(0.408183\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −15.8855 | −0.609629 | ||||||||
\(680\) | −7.08344 | − | 31.0346i | −0.271638 | − | 1.19012i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.25732 | + | 2.53179i | 0.201313 | + | 0.0969473i | ||||
\(683\) | −3.77624 | − | 16.5448i | −0.144494 | − | 0.633069i | −0.994359 | − | 0.106068i | \(-0.966174\pi\) |
0.849865 | − | 0.527000i | \(-0.176683\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.83414 | − | 25.5611i | −0.222911 | − | 0.976638i | ||||
\(686\) | −20.8360 | + | 26.1275i | −0.795520 | + | 0.997551i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.54162 | + | 24.2794i | −0.211272 | + | 0.925645i | ||||
\(689\) | 3.57735 | + | 4.48586i | 0.136286 | + | 0.170898i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.2454 | − | 10.7128i | 0.846254 | − | 0.407534i | 0.0400683 | − | 0.999197i | \(-0.487242\pi\) |
0.806186 | + | 0.591662i | \(0.201528\pi\) | |||||||
\(692\) | 9.60878 | − | 12.0490i | 0.365271 | − | 0.458036i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.92843 | − | 1.41026i | 0.111162 | − | 0.0535327i | ||||
\(695\) | 30.5394 | 1.15842 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.55063 | 0.323878 | ||||||||
\(698\) | 24.4363 | − | 11.7679i | 0.924926 | − | 0.445421i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −12.9698 | + | 16.2636i | −0.490211 | + | 0.614705i | ||||
\(701\) | 22.7891 | − | 10.9746i | 0.860732 | − | 0.414507i | 0.0491820 | − | 0.998790i | \(-0.484339\pi\) |
0.811550 | + | 0.584283i | \(0.198624\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.19251 | + | 1.49537i | 0.0449765 | + | 0.0563988i | ||||
\(704\) | −1.05943 | + | 4.64166i | −0.0399287 | + | 0.174939i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.6284 | − | 14.5816i | 0.437642 | − | 0.548786i | ||||
\(707\) | −12.7372 | − | 55.8051i | −0.479030 | − | 2.09877i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.443854 | − | 1.94465i | −0.0166693 | − | 0.0730329i | 0.965909 | − | 0.258881i | \(-0.0833538\pi\) |
−0.982578 | + | 0.185848i | \(0.940497\pi\) | |||||||
\(710\) | 8.54635 | + | 4.11571i | 0.320739 | + | 0.154460i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.66401 | − | 20.4344i | −0.174791 | − | 0.765811i | ||||
\(713\) | −8.46302 | −0.316943 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.28984 | − | 4.12533i | 0.123033 | − | 0.154279i | ||||
\(716\) | −2.19624 | + | 9.62234i | −0.0820772 | + | 0.359604i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.21880 | − | 7.79813i | −0.232084 | − | 0.291024i | ||||
\(719\) | 5.69960 | + | 2.74478i | 0.212559 | + | 0.102363i | 0.537134 | − | 0.843497i | \(-0.319507\pi\) |
−0.324575 | + | 0.945860i | \(0.605221\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.68269 | − | 7.12586i | 0.211634 | − | 0.265381i | ||||
\(722\) | 13.6195 | + | 17.0783i | 0.506866 | + | 0.635590i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.92830 | −0.0716646 | ||||||||
\(725\) | 24.5718 | − | 27.8701i | 0.912574 | − | 1.03507i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.3885 | + | 7.89230i | −0.607817 | + | 0.292709i | −0.712363 | − | 0.701811i | \(-0.752375\pi\) |
0.104547 | + | 0.994520i | \(0.466661\pi\) | |||||||
\(728\) | 23.9373 | + | 30.0164i | 0.887175 | + | 1.11248i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.27608 | + | 1.57768i | −0.121253 | + | 0.0583925i | ||||
\(731\) | 30.2921 | + | 14.5879i | 1.12040 | + | 0.539554i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.06036 | − | 35.3148i | 0.297716 | − | 1.30438i | −0.575802 | − | 0.817589i | \(-0.695310\pi\) |
0.873518 | − | 0.486791i | \(-0.161833\pi\) | |||||||
\(734\) | 3.45403 | − | 15.1331i | 0.127490 | − | 0.558572i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.742460 | − | 3.25293i | −0.0273674 | − | 0.119905i | ||||
\(737\) | −6.80886 | −0.250808 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.75343 | + | 1.80755i | 0.138072 | + | 0.0664920i | 0.501644 | − | 0.865074i | \(-0.332729\pi\) |
−0.363572 | + | 0.931566i | \(0.618443\pi\) | |||||||
\(740\) | −14.2606 | − | 6.86754i | −0.524230 | − | 0.252456i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.8412 | −0.397995 | ||||||||
\(743\) | 5.47368 | + | 23.9818i | 0.200810 | + | 0.879806i | 0.970445 | + | 0.241322i | \(0.0775809\pi\) |
−0.769635 | + | 0.638484i | \(0.779562\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.11783 | − | 26.8040i | 0.224140 | − | 0.982022i | ||||
\(746\) | −0.820264 | + | 3.59381i | −0.0300320 | + | 0.131579i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.998697 | + | 0.480947i | 0.0365160 | + | 0.0175852i | ||||
\(749\) | −2.32831 | + | 1.12126i | −0.0850747 | + | 0.0409698i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.3234 | + | 20.4689i | 0.595651 | + | 0.746922i | 0.984693 | − | 0.174297i | \(-0.0557654\pi\) |
−0.389042 | + | 0.921220i | \(0.627194\pi\) | |||||||
\(752\) | −8.39095 | + | 4.04087i | −0.305987 | + | 0.147355i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −10.0223 | − | 13.9261i | −0.364991 | − | 0.507160i | ||||
\(755\) | −0.364005 | −0.0132475 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −32.5871 | − | 40.8630i | −1.18440 | − | 1.48519i | −0.836767 | − | 0.547559i | \(-0.815557\pi\) |
−0.347632 | − | 0.937631i | \(-0.613014\pi\) | |||||||
\(758\) | 11.8772 | − | 14.8936i | 0.431400 | − | 0.540959i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.66235 | + | 1.28212i | 0.0965735 | + | 0.0465074i | ||||
\(761\) | −3.05680 | − | 3.83310i | −0.110809 | − | 0.138950i | 0.723334 | − | 0.690498i | \(-0.242609\pi\) |
−0.834143 | + | 0.551548i | \(0.814037\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −19.5706 | + | 85.7442i | −0.708502 | + | 3.10415i | ||||
\(764\) | −1.94064 | + | 2.43348i | −0.0702099 | + | 0.0880404i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.82183 | 0.0658255 | ||||||||
\(767\) | −8.76214 | − | 38.3894i | −0.316382 | − | 1.38616i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −26.1703 | − | 12.6029i | −0.943725 | − | 0.454474i | −0.102243 | − | 0.994759i | \(-0.532602\pi\) |
−0.841482 | + | 0.540285i | \(0.818316\pi\) | |||||||
\(770\) | 2.21852 | + | 9.71998i | 0.0799500 | + | 0.350284i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.16583 | − | 9.48913i | −0.0779500 | − | 0.341521i | ||||
\(773\) | −33.3981 | + | 41.8799i | −1.20125 | + | 1.50632i | −0.390829 | + | 0.920463i | \(0.627812\pi\) |
−0.810418 | + | 0.585853i | \(0.800760\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −14.0030 | + | 61.3512i | −0.503003 | + | 2.20380i | ||||
\(776\) | −6.75097 | − | 8.46545i | −0.242346 | − | 0.303892i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.5722 | − | 7.01758i | 0.522437 | − | 0.251593i | ||||
\(779\) | −0.494891 | + | 0.620573i | −0.0177313 | + | 0.0222343i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.18943 | + | 0.572798i | −0.0425611 | + |