Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(66,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.66");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.k (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 66.16 | ||
Character | \(\chi\) | \(=\) | 403.66 |
Dual form | 403.2.k.e.287.16 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.773013 | + | 2.37909i | 0.546603 | + | 1.68227i | 0.717148 | + | 0.696921i | \(0.245447\pi\) |
−0.170545 | + | 0.985350i | \(0.554553\pi\) | |||||||
\(3\) | 0.384456 | − | 1.18324i | 0.221966 | − | 0.683141i | −0.776619 | − | 0.629970i | \(-0.783067\pi\) |
0.998585 | − | 0.0531711i | \(-0.0169329\pi\) | |||||||
\(4\) | −3.44449 | + | 2.50257i | −1.72224 | + | 1.25128i | ||||
\(5\) | −2.86335 | −1.28053 | −0.640265 | − | 0.768154i | \(-0.721175\pi\) | ||||
−0.640265 | + | 0.768154i | \(0.721175\pi\) | |||||||
\(6\) | 3.11221 | 1.27056 | ||||||||
\(7\) | −1.19324 | + | 0.866941i | −0.451003 | + | 0.327673i | −0.789992 | − | 0.613118i | \(-0.789915\pi\) |
0.338989 | + | 0.940790i | \(0.389915\pi\) | |||||||
\(8\) | −4.56892 | − | 3.31951i | −1.61536 | − | 1.17362i | ||||
\(9\) | 1.17481 | + | 0.853551i | 0.391604 | + | 0.284517i | ||||
\(10\) | −2.21341 | − | 6.81217i | −0.699942 | − | 2.15420i | ||||
\(11\) | −4.28613 | + | 3.11405i | −1.29232 | + | 0.938922i | −0.999849 | − | 0.0173533i | \(-0.994476\pi\) |
−0.292467 | + | 0.956276i | \(0.594476\pi\) | |||||||
\(12\) | 1.63687 | + | 5.03777i | 0.472524 | + | 1.45428i | ||||
\(13\) | 0.309017 | − | 0.951057i | 0.0857059 | − | 0.263776i | ||||
\(14\) | −2.98492 | − | 2.16867i | −0.797754 | − | 0.579602i | ||||
\(15\) | −1.10083 | + | 3.38802i | −0.284234 | + | 0.874783i | ||||
\(16\) | 1.73423 | − | 5.33742i | 0.433558 | − | 1.33435i | ||||
\(17\) | −6.22931 | − | 4.52586i | −1.51083 | − | 1.09768i | −0.965808 | − | 0.259258i | \(-0.916522\pi\) |
−0.545021 | − | 0.838423i | \(-0.683478\pi\) | |||||||
\(18\) | −1.12253 | + | 3.45479i | −0.264583 | + | 0.814302i | ||||
\(19\) | 0.422979 | + | 1.30179i | 0.0970379 | + | 0.298652i | 0.987779 | − | 0.155858i | \(-0.0498143\pi\) |
−0.890742 | + | 0.454510i | \(0.849814\pi\) | |||||||
\(20\) | 9.86278 | − | 7.16573i | 2.20538 | − | 1.60231i | ||||
\(21\) | 0.567046 | + | 1.74519i | 0.123740 | + | 0.380831i | ||||
\(22\) | −10.7218 | − | 7.78988i | −2.28591 | − | 1.66081i | ||||
\(23\) | 3.11255 | + | 2.26140i | 0.649012 | + | 0.471535i | 0.862934 | − | 0.505316i | \(-0.168624\pi\) |
−0.213922 | + | 0.976851i | \(0.568624\pi\) | |||||||
\(24\) | −5.68431 | + | 4.12989i | −1.16031 | + | 0.843011i | ||||
\(25\) | 3.19879 | 0.639757 | ||||||||
\(26\) | 2.50152 | 0.490589 | ||||||||
\(27\) | 4.48118 | − | 3.25576i | 0.862403 | − | 0.626572i | ||||
\(28\) | 1.94053 | − | 5.97234i | 0.366726 | − | 1.12867i | ||||
\(29\) | −0.139754 | − | 0.430119i | −0.0259517 | − | 0.0798711i | 0.937242 | − | 0.348680i | \(-0.113370\pi\) |
−0.963194 | + | 0.268809i | \(0.913370\pi\) | |||||||
\(30\) | −8.91136 | −1.62699 | ||||||||
\(31\) | 3.97919 | + | 3.89437i | 0.714683 | + | 0.699449i | ||||
\(32\) | 2.74380 | 0.485039 | ||||||||
\(33\) | 2.03683 | + | 6.26871i | 0.354566 | + | 1.09124i | ||||
\(34\) | 5.95208 | − | 18.3186i | 1.02077 | − | 3.14162i | ||||
\(35\) | 3.41667 | − | 2.48236i | 0.577523 | − | 0.419595i | ||||
\(36\) | −6.18269 | −1.03045 | ||||||||
\(37\) | −5.08045 | −0.835221 | −0.417610 | − | 0.908626i | \(-0.637132\pi\) | ||||
−0.417610 | + | 0.908626i | \(0.637132\pi\) | |||||||
\(38\) | −2.77012 | + | 2.01261i | −0.449372 | + | 0.326488i | ||||
\(39\) | −1.00652 | − | 0.731280i | −0.161172 | − | 0.117098i | ||||
\(40\) | 13.0824 | + | 9.50493i | 2.06851 | + | 1.50286i | ||||
\(41\) | 3.74120 | + | 11.5142i | 0.584277 | + | 1.79822i | 0.602153 | + | 0.798381i | \(0.294310\pi\) |
−0.0178751 | + | 0.999840i | \(0.505690\pi\) | |||||||
\(42\) | −3.71362 | + | 2.69811i | −0.573025 | + | 0.416327i | ||||
\(43\) | 2.47671 | + | 7.62253i | 0.377695 | + | 1.16242i | 0.941643 | + | 0.336614i | \(0.109282\pi\) |
−0.563948 | + | 0.825810i | \(0.690718\pi\) | |||||||
\(44\) | 6.97038 | − | 21.4526i | 1.05082 | − | 3.23411i | ||||
\(45\) | −3.36390 | − | 2.44402i | −0.501461 | − | 0.364333i | ||||
\(46\) | −2.97403 | + | 9.15314i | −0.438497 | + | 1.34956i | ||||
\(47\) | −1.09459 | + | 3.36881i | −0.159663 | + | 0.491391i | −0.998603 | − | 0.0528317i | \(-0.983175\pi\) |
0.838941 | + | 0.544223i | \(0.183175\pi\) | |||||||
\(48\) | −5.64868 | − | 4.10401i | −0.815317 | − | 0.592362i | ||||
\(49\) | −1.49088 | + | 4.58845i | −0.212983 | + | 0.655494i | ||||
\(50\) | 2.47270 | + | 7.61020i | 0.349693 | + | 1.07625i | ||||
\(51\) | −7.75005 | + | 5.63074i | −1.08522 | + | 0.788461i | ||||
\(52\) | 1.31568 | + | 4.04924i | 0.182452 | + | 0.561528i | ||||
\(53\) | −0.503374 | − | 0.365722i | −0.0691437 | − | 0.0502358i | 0.552676 | − | 0.833396i | \(-0.313607\pi\) |
−0.621820 | + | 0.783160i | \(0.713607\pi\) | |||||||
\(54\) | 11.2098 | + | 8.14437i | 1.52546 | + | 1.10831i | ||||
\(55\) | 12.2727 | − | 8.91663i | 1.65485 | − | 1.20232i | ||||
\(56\) | 8.32964 | 1.11310 | ||||||||
\(57\) | 1.70295 | 0.225561 | ||||||||
\(58\) | 0.915260 | − | 0.664975i | 0.120180 | − | 0.0873155i | ||||
\(59\) | 1.44138 | − | 4.43611i | 0.187652 | − | 0.577532i | −0.812332 | − | 0.583195i | \(-0.801802\pi\) |
0.999984 | + | 0.00566262i | \(0.00180248\pi\) | |||||||
\(60\) | −4.68693 | − | 14.4249i | −0.605081 | − | 1.86225i | ||||
\(61\) | 10.4459 | 1.33746 | 0.668730 | − | 0.743506i | \(-0.266838\pi\) | ||||
0.668730 | + | 0.743506i | \(0.266838\pi\) | |||||||
\(62\) | −6.18908 | + | 12.4772i | −0.786014 | + | 1.58461i | ||||
\(63\) | −2.14181 | −0.269843 | ||||||||
\(64\) | −1.34747 | − | 4.14709i | −0.168434 | − | 0.518387i | ||||
\(65\) | −0.884825 | + | 2.72321i | −0.109749 | + | 0.337773i | ||||
\(66\) | −13.3393 | + | 9.69160i | −1.64196 | + | 1.19295i | ||||
\(67\) | 6.12626 | 0.748442 | 0.374221 | − | 0.927340i | \(-0.377910\pi\) | ||||
0.374221 | + | 0.927340i | \(0.377910\pi\) | |||||||
\(68\) | 32.7830 | 3.97552 | ||||||||
\(69\) | 3.87241 | − | 2.81347i | 0.466184 | − | 0.338702i | ||||
\(70\) | 8.54689 | + | 6.20968i | 1.02155 | + | 0.742198i | ||||
\(71\) | −6.31968 | − | 4.59152i | −0.750009 | − | 0.544913i | 0.145821 | − | 0.989311i | \(-0.453418\pi\) |
−0.895830 | + | 0.444398i | \(0.853418\pi\) | |||||||
\(72\) | −2.53425 | − | 7.79960i | −0.298664 | − | 0.919192i | ||||
\(73\) | −3.48822 | + | 2.53434i | −0.408265 | + | 0.296622i | −0.772899 | − | 0.634529i | \(-0.781194\pi\) |
0.364634 | + | 0.931151i | \(0.381194\pi\) | |||||||
\(74\) | −3.92726 | − | 12.0868i | −0.456534 | − | 1.40507i | ||||
\(75\) | 1.22979 | − | 3.78492i | 0.142004 | − | 0.437045i | ||||
\(76\) | −4.71477 | − | 3.42548i | −0.540821 | − | 0.392930i | ||||
\(77\) | 2.41469 | − | 7.43164i | 0.275179 | − | 0.846914i | ||||
\(78\) | 0.961727 | − | 2.95989i | 0.108894 | − | 0.335142i | ||||
\(79\) | 7.59432 | + | 5.51760i | 0.854428 | + | 0.620778i | 0.926363 | − | 0.376631i | \(-0.122918\pi\) |
−0.0719356 | + | 0.997409i | \(0.522918\pi\) | |||||||
\(80\) | −4.96572 | + | 15.2829i | −0.555184 | + | 1.70868i | ||||
\(81\) | −0.783304 | − | 2.41076i | −0.0870338 | − | 0.267862i | ||||
\(82\) | −24.5014 | + | 17.8013i | −2.70573 | + | 1.96583i | ||||
\(83\) | −4.95653 | − | 15.2546i | −0.544050 | − | 1.67441i | −0.723238 | − | 0.690599i | \(-0.757347\pi\) |
0.179188 | − | 0.983815i | \(-0.442653\pi\) | |||||||
\(84\) | −6.32063 | − | 4.59221i | −0.689637 | − | 0.501051i | ||||
\(85\) | 17.8367 | + | 12.9591i | 1.93466 | + | 1.40561i | ||||
\(86\) | −16.2202 | + | 11.7846i | −1.74906 | + | 1.27077i | ||||
\(87\) | −0.562661 | −0.0603236 | ||||||||
\(88\) | 29.9201 | 3.18949 | ||||||||
\(89\) | 3.75763 | − | 2.73008i | 0.398308 | − | 0.289388i | −0.370544 | − | 0.928815i | \(-0.620829\pi\) |
0.768851 | + | 0.639428i | \(0.220829\pi\) | |||||||
\(90\) | 3.21420 | − | 9.89228i | 0.338806 | − | 1.04274i | ||||
\(91\) | 0.455778 | + | 1.40274i | 0.0477785 | + | 0.147047i | ||||
\(92\) | −16.3805 | −1.70778 | ||||||||
\(93\) | 6.13777 | − | 3.21110i | 0.636458 | − | 0.332975i | ||||
\(94\) | −8.86083 | −0.913925 | ||||||||
\(95\) | −1.21114 | − | 3.72750i | −0.124260 | − | 0.382433i | ||||
\(96\) | 1.05487 | − | 3.24656i | 0.107662 | − | 0.331350i | ||||
\(97\) | −6.67779 | + | 4.85170i | −0.678027 | + | 0.492616i | −0.872703 | − | 0.488252i | \(-0.837635\pi\) |
0.194675 | + | 0.980868i | \(0.437635\pi\) | |||||||
\(98\) | −12.0688 | −1.21913 | ||||||||
\(99\) | −7.69340 | −0.773215 | ||||||||
\(100\) | −11.0182 | + | 8.00518i | −1.10182 | + | 0.800518i | ||||
\(101\) | −1.35594 | − | 0.985151i | −0.134921 | − | 0.0980262i | 0.518277 | − | 0.855213i | \(-0.326573\pi\) |
−0.653199 | + | 0.757186i | \(0.726573\pi\) | |||||||
\(102\) | −19.3869 | − | 14.0854i | −1.91959 | − | 1.39467i | ||||
\(103\) | −4.32333 | − | 13.3058i | −0.425990 | − | 1.31106i | −0.902043 | − | 0.431646i | \(-0.857933\pi\) |
0.476053 | − | 0.879417i | \(-0.342067\pi\) | |||||||
\(104\) | −4.56892 | + | 3.31951i | −0.448019 | + | 0.325505i | ||||
\(105\) | −1.62365 | − | 4.99709i | −0.158452 | − | 0.487666i | ||||
\(106\) | 0.480972 | − | 1.48028i | 0.0467161 | − | 0.143777i | ||||
\(107\) | −10.2280 | − | 7.43106i | −0.988776 | − | 0.718388i | −0.0291233 | − | 0.999576i | \(-0.509272\pi\) |
−0.959653 | + | 0.281188i | \(0.909272\pi\) | |||||||
\(108\) | −7.28759 | + | 22.4289i | −0.701248 | + | 2.15822i | ||||
\(109\) | −2.17409 | + | 6.69116i | −0.208240 | + | 0.640897i | 0.791325 | + | 0.611396i | \(0.209392\pi\) |
−0.999565 | + | 0.0295009i | \(0.990608\pi\) | |||||||
\(110\) | 30.7004 | + | 22.3052i | 2.92717 | + | 2.12671i | ||||
\(111\) | −1.95321 | + | 6.01137i | −0.185391 | + | 0.570574i | ||||
\(112\) | 2.55787 | + | 7.87231i | 0.241696 | + | 0.743863i | ||||
\(113\) | −10.0808 | + | 7.32411i | −0.948319 | + | 0.688994i | −0.950409 | − | 0.311003i | \(-0.899335\pi\) |
0.00208935 | + | 0.999998i | \(0.499335\pi\) | |||||||
\(114\) | 1.31640 | + | 4.05146i | 0.123292 | + | 0.379454i | ||||
\(115\) | −8.91233 | − | 6.47519i | −0.831079 | − | 0.603815i | ||||
\(116\) | 1.55778 | + | 1.13180i | 0.144636 | + | 0.105085i | ||||
\(117\) | 1.17481 | − | 0.853551i | 0.108611 | − | 0.0789108i | ||||
\(118\) | 11.6681 | 1.07414 | ||||||||
\(119\) | 11.3567 | 1.04107 | ||||||||
\(120\) | 16.2762 | − | 11.8253i | 1.48581 | − | 1.07950i | ||||
\(121\) | 5.27437 | − | 16.2328i | 0.479488 | − | 1.47571i | ||||
\(122\) | 8.07481 | + | 24.8517i | 0.731059 | + | 2.24997i | ||||
\(123\) | 15.0624 | 1.35813 | ||||||||
\(124\) | −23.4522 | − | 3.45592i | −2.10607 | − | 0.310350i | ||||
\(125\) | 5.15751 | 0.461302 | ||||||||
\(126\) | −1.65565 | − | 5.09557i | −0.147497 | − | 0.453949i | ||||
\(127\) | 3.14201 | − | 9.67012i | 0.278809 | − | 0.858085i | −0.709378 | − | 0.704828i | \(-0.751024\pi\) |
0.988186 | − | 0.153256i | \(-0.0489760\pi\) | |||||||
\(128\) | 13.2642 | − | 9.63704i | 1.17241 | − | 0.851802i | ||||
\(129\) | 9.97143 | 0.877936 | ||||||||
\(130\) | −7.16274 | −0.628214 | ||||||||
\(131\) | −6.20409 | + | 4.50754i | −0.542054 | + | 0.393825i | −0.824847 | − | 0.565356i | \(-0.808739\pi\) |
0.282793 | + | 0.959181i | \(0.408739\pi\) | |||||||
\(132\) | −22.7037 | − | 16.4952i | −1.97610 | − | 1.43572i | ||||
\(133\) | −1.63329 | − | 1.18666i | −0.141625 | − | 0.102896i | ||||
\(134\) | 4.73568 | + | 14.5749i | 0.409101 | + | 1.25908i | ||||
\(135\) | −12.8312 | + | 9.32240i | −1.10433 | + | 0.802345i | ||||
\(136\) | 13.4375 | + | 41.3565i | 1.15226 | + | 3.54629i | ||||
\(137\) | −4.59161 | + | 14.1315i | −0.392288 | + | 1.20734i | 0.538766 | + | 0.842455i | \(0.318891\pi\) |
−0.931054 | + | 0.364882i | \(0.881109\pi\) | |||||||
\(138\) | 9.68693 | + | 7.03796i | 0.824606 | + | 0.599111i | ||||
\(139\) | −0.455336 | + | 1.40138i | −0.0386211 | + | 0.118864i | −0.968508 | − | 0.248981i | \(-0.919904\pi\) |
0.929887 | + | 0.367845i | \(0.119904\pi\) | |||||||
\(140\) | −5.55642 | + | 17.1009i | −0.469603 | + | 1.44529i | ||||
\(141\) | 3.56527 | + | 2.59032i | 0.300250 | + | 0.218144i | ||||
\(142\) | 6.03844 | − | 18.5844i | 0.506735 | − | 1.55957i | ||||
\(143\) | 1.63715 | + | 5.03864i | 0.136906 | + | 0.421353i | ||||
\(144\) | 6.59315 | − | 4.79021i | 0.549429 | − | 0.399184i | ||||
\(145\) | 0.400165 | + | 1.23158i | 0.0332319 | + | 0.102277i | ||||
\(146\) | −8.72586 | − | 6.33971i | −0.722158 | − | 0.524678i | ||||
\(147\) | 4.85604 | + | 3.52812i | 0.400520 | + | 0.290995i | ||||
\(148\) | 17.4995 | − | 12.7142i | 1.43845 | − | 1.04510i | ||||
\(149\) | −6.54242 | −0.535976 | −0.267988 | − | 0.963422i | \(-0.586359\pi\) | ||||
−0.267988 | + | 0.963422i | \(0.586359\pi\) | |||||||
\(150\) | 9.95531 | 0.812847 | ||||||||
\(151\) | −2.65286 | + | 1.92742i | −0.215887 | + | 0.156851i | −0.690473 | − | 0.723358i | \(-0.742598\pi\) |
0.474586 | + | 0.880209i | \(0.342598\pi\) | |||||||
\(152\) | 2.38877 | − | 7.35187i | 0.193755 | − | 0.596315i | ||||
\(153\) | −3.45522 | − | 10.6341i | −0.279338 | − | 0.859713i | ||||
\(154\) | 19.5471 | 1.57515 | ||||||||
\(155\) | −11.3938 | − | 11.1509i | −0.915173 | − | 0.895665i | ||||
\(156\) | 5.29702 | 0.424101 | ||||||||
\(157\) | 4.68702 | + | 14.4252i | 0.374065 | + | 1.15125i | 0.944107 | + | 0.329638i | \(0.106927\pi\) |
−0.570043 | + | 0.821615i | \(0.693073\pi\) | |||||||
\(158\) | −7.25635 | + | 22.3327i | −0.577284 | + | 1.77670i | ||||
\(159\) | −0.626261 | + | 0.455005i | −0.0496657 | + | 0.0360843i | ||||
\(160\) | −7.85646 | −0.621107 | ||||||||
\(161\) | −5.67453 | −0.447216 | ||||||||
\(162\) | 5.12992 | − | 3.72710i | 0.403044 | − | 0.292829i | ||||
\(163\) | −5.60474 | − | 4.07208i | −0.438997 | − | 0.318950i | 0.346239 | − | 0.938146i | \(-0.387459\pi\) |
−0.785236 | + | 0.619196i | \(0.787459\pi\) | |||||||
\(164\) | −41.7017 | − | 30.2980i | −3.25635 | − | 2.36588i | ||||
\(165\) | −5.83216 | − | 17.9495i | −0.454033 | − | 1.39737i | ||||
\(166\) | 32.4607 | − | 23.5841i | 2.51944 | − | 1.83048i | ||||
\(167\) | 5.07325 | + | 15.6138i | 0.392580 | + | 1.20824i | 0.930831 | + | 0.365451i | \(0.119085\pi\) |
−0.538251 | + | 0.842785i | \(0.680915\pi\) | |||||||
\(168\) | 3.20239 | − | 9.85593i | 0.247069 | − | 0.760401i | ||||
\(169\) | −0.809017 | − | 0.587785i | −0.0622321 | − | 0.0452143i | ||||
\(170\) | −17.0429 | + | 52.4527i | −1.30713 | + | 4.02294i | ||||
\(171\) | −0.614227 | + | 1.89040i | −0.0469711 | + | 0.144562i | ||||
\(172\) | −27.6069 | − | 20.0576i | −2.10500 | − | 1.52938i | ||||
\(173\) | −1.85940 | + | 5.72265i | −0.141368 | + | 0.435085i | −0.996526 | − | 0.0832819i | \(-0.973460\pi\) |
0.855158 | + | 0.518367i | \(0.173460\pi\) | |||||||
\(174\) | −0.434945 | − | 1.33862i | −0.0329731 | − | 0.101481i | ||||
\(175\) | −3.81693 | + | 2.77316i | −0.288533 | + | 0.209631i | ||||
\(176\) | 9.18786 | + | 28.2773i | 0.692561 | + | 2.13148i | ||||
\(177\) | −4.69481 | − | 3.41098i | −0.352884 | − | 0.256385i | ||||
\(178\) | 9.39979 | + | 6.82935i | 0.704544 | + | 0.511881i | ||||
\(179\) | −4.65428 | + | 3.38153i | −0.347877 | + | 0.252748i | −0.747978 | − | 0.663724i | \(-0.768975\pi\) |
0.400101 | + | 0.916471i | \(0.368975\pi\) | |||||||
\(180\) | 17.7032 | 1.31952 | ||||||||
\(181\) | −5.74850 | −0.427282 | −0.213641 | − | 0.976912i | \(-0.568532\pi\) | ||||
−0.213641 | + | 0.976912i | \(0.568532\pi\) | |||||||
\(182\) | −2.98492 | + | 2.16867i | −0.221257 | + | 0.160753i | ||||
\(183\) | 4.01599 | − | 12.3599i | 0.296871 | − | 0.913673i | ||||
\(184\) | −6.71424 | − | 20.6643i | −0.494980 | − | 1.52339i | ||||
\(185\) | 14.5471 | 1.06953 | ||||||||
\(186\) | 12.3841 | + | 12.1201i | 0.908044 | + | 0.888689i | ||||
\(187\) | 40.7934 | 2.98311 | ||||||||
\(188\) | −4.66035 | − | 14.3431i | −0.339891 | − | 1.04608i | ||||
\(189\) | −2.52457 | + | 7.76983i | −0.183636 | + | 0.565172i | ||||
\(190\) | 7.93182 | − | 5.76281i | 0.575435 | − | 0.418078i | ||||
\(191\) | −5.78306 | −0.418448 | −0.209224 | − | 0.977868i | \(-0.567094\pi\) | ||||
−0.209224 | + | 0.977868i | \(0.567094\pi\) | |||||||
\(192\) | −5.42503 | −0.391518 | ||||||||
\(193\) | −6.17048 | + | 4.48312i | −0.444161 | + | 0.322702i | −0.787286 | − | 0.616588i | \(-0.788515\pi\) |
0.343125 | + | 0.939290i | \(0.388515\pi\) | |||||||
\(194\) | −16.7047 | − | 12.1366i | −1.19932 | − | 0.871360i | ||||
\(195\) | 2.88202 | + | 2.09391i | 0.206386 | + | 0.149948i | ||||
\(196\) | −6.34760 | − | 19.5359i | −0.453400 | − | 1.39542i | ||||
\(197\) | 18.9758 | − | 13.7867i | 1.35197 | − | 0.982262i | 0.353057 | − | 0.935602i | \(-0.385142\pi\) |
0.998911 | − | 0.0466600i | \(-0.0148577\pi\) | |||||||
\(198\) | −5.94710 | − | 18.3033i | −0.422642 | − | 1.30076i | ||||
\(199\) | 8.11873 | − | 24.9869i | 0.575522 | − | 1.77127i | −0.0588746 | − | 0.998265i | \(-0.518751\pi\) |
0.634396 | − | 0.773008i | \(-0.281249\pi\) | |||||||
\(200\) | −14.6150 | − | 10.6184i | −1.03344 | − | 0.750835i | ||||
\(201\) | 2.35528 | − | 7.24881i | 0.166129 | − | 0.511292i | ||||
\(202\) | 1.29560 | − | 3.98745i | 0.0911581 | − | 0.280556i | ||||
\(203\) | 0.539648 | + | 0.392077i | 0.0378759 | + | 0.0275184i | ||||
\(204\) | 12.6036 | − | 38.7900i | 0.882431 | − | 2.71584i | ||||
\(205\) | −10.7124 | − | 32.9693i | −0.748185 | − | 2.30268i | ||||
\(206\) | 28.3138 | − | 20.5712i | 1.97271 | − | 1.43326i | ||||
\(207\) | 1.72644 | + | 5.31344i | 0.119996 | + | 0.369310i | ||||
\(208\) | −4.54028 | − | 3.29870i | −0.314812 | − | 0.228724i | ||||
\(209\) | −5.86680 | − | 4.26248i | −0.405815 | − | 0.294842i | ||||
\(210\) | 10.6334 | − | 7.72563i | 0.733775 | − | 0.533119i | ||||
\(211\) | 2.97050 | 0.204497 | 0.102249 | − | 0.994759i | \(-0.467396\pi\) | ||||
0.102249 | + | 0.994759i | \(0.467396\pi\) | |||||||
\(212\) | 2.64911 | 0.181942 | ||||||||
\(213\) | −7.86249 | + | 5.71243i | −0.538729 | + | 0.391410i | ||||
\(214\) | 9.77280 | − | 30.0776i | 0.668055 | − | 2.05606i | ||||
\(215\) | −7.09169 | − | 21.8260i | −0.483649 | − | 1.48852i | ||||
\(216\) | −31.2817 | −2.12845 | ||||||||
\(217\) | −8.12432 | − | 1.19720i | −0.551515 | − | 0.0812713i | ||||
\(218\) | −17.5995 | −1.19199 | ||||||||
\(219\) | 1.65765 | + | 5.10173i | 0.112014 | + | 0.344743i | ||||
\(220\) | −19.9587 | + | 61.4265i | −1.34561 | + | 4.14137i | ||||
\(221\) | −6.22931 | + | 4.52586i | −0.419028 | + | 0.304442i | ||||
\(222\) | −15.8114 | −1.06119 | ||||||||
\(223\) | 18.0024 | 1.20553 | 0.602764 | − | 0.797919i | \(-0.294066\pi\) | ||||
0.602764 | + | 0.797919i | \(0.294066\pi\) | |||||||
\(224\) | −3.27401 | + | 2.37871i | −0.218754 | + | 0.158934i | ||||
\(225\) | 3.75797 | + | 2.73033i | 0.250532 | + | 0.182022i | ||||
\(226\) | −25.2173 | − | 18.3214i | −1.67743 | − | 1.21872i | ||||
\(227\) | −1.98825 | − | 6.11920i | −0.131965 | − | 0.406145i | 0.863141 | − | 0.504963i | \(-0.168494\pi\) |
−0.995106 | + | 0.0988178i | \(0.968494\pi\) | |||||||
\(228\) | −5.86577 | + | 4.26173i | −0.388470 | + | 0.282240i | ||||
\(229\) | −1.95095 | − | 6.00441i | −0.128922 | − | 0.396782i | 0.865673 | − | 0.500610i | \(-0.166891\pi\) |
−0.994595 | + | 0.103828i | \(0.966891\pi\) | |||||||
\(230\) | 8.51571 | − | 26.2087i | 0.561509 | − | 1.72815i | ||||
\(231\) | −7.86504 | − | 5.71428i | −0.517481 | − | 0.375972i | ||||
\(232\) | −0.789260 | + | 2.42909i | −0.0518175 | + | 0.159478i | ||||
\(233\) | −4.09357 | + | 12.5987i | −0.268179 | + | 0.825369i | 0.722765 | + | 0.691094i | \(0.242871\pi\) |
−0.990944 | + | 0.134276i | \(0.957129\pi\) | |||||||
\(234\) | 2.93882 | + | 2.13518i | 0.192117 | + | 0.139581i | ||||
\(235\) | 3.13420 | − | 9.64608i | 0.204453 | − | 0.629241i | ||||
\(236\) | 6.13684 | + | 18.8873i | 0.399475 | + | 1.22946i | ||||
\(237\) | 9.44830 | − | 6.86459i | 0.613733 | − | 0.445903i | ||||
\(238\) | 8.77889 | + | 27.0187i | 0.569051 | + | 1.75136i | ||||
\(239\) | 13.3327 | + | 9.68679i | 0.862422 | + | 0.626587i | 0.928543 | − | 0.371225i | \(-0.121062\pi\) |
−0.0661205 | + | 0.997812i | \(0.521062\pi\) | |||||||
\(240\) | 16.1742 | + | 11.7512i | 1.04404 | + | 0.758538i | ||||
\(241\) | −13.8761 | + | 10.0816i | −0.893841 | + | 0.649413i | −0.936877 | − | 0.349660i | \(-0.886297\pi\) |
0.0430357 | + | 0.999074i | \(0.486297\pi\) | |||||||
\(242\) | 42.6965 | 2.74464 | ||||||||
\(243\) | 13.4635 | 0.863682 | ||||||||
\(244\) | −35.9807 | + | 26.1415i | −2.30343 | + | 1.67354i | ||||
\(245\) | 4.26891 | − | 13.1384i | 0.272731 | − | 0.839379i | ||||
\(246\) | 11.6434 | + | 35.8348i | 0.742357 | + | 2.28474i | ||||
\(247\) | 1.36879 | 0.0870938 | ||||||||
\(248\) | −5.25317 | − | 31.0020i | −0.333577 | − | 1.96863i | ||||
\(249\) | −19.9554 | −1.26462 | ||||||||
\(250\) | 3.98682 | + | 12.2702i | 0.252149 | + | 0.776034i | ||||
\(251\) | −6.23225 | + | 19.1809i | −0.393376 | + | 1.21069i | 0.536842 | + | 0.843683i | \(0.319617\pi\) |
−0.930219 | + | 0.367006i | \(0.880383\pi\) | |||||||
\(252\) | 7.37745 | − | 5.36003i | 0.464736 | − | 0.337650i | ||||
\(253\) | −20.3829 | −1.28146 | ||||||||
\(254\) | 25.4349 | 1.59593 | ||||||||
\(255\) | 22.1911 | − | 16.1228i | 1.38966 | − | 1.00965i | ||||
\(256\) | 26.1254 | + | 18.9812i | 1.63284 | + | 1.18632i | ||||
\(257\) | 18.9460 | + | 13.7651i | 1.18182 | + | 0.858640i | 0.992375 | − | 0.123252i | \(-0.0393323\pi\) |
0.189441 | + | 0.981892i | \(0.439332\pi\) | |||||||
\(258\) | 7.70805 | + | 23.7229i | 0.479882 | + | 1.47693i | ||||
\(259\) | 6.06221 | − | 4.40445i | 0.376687 | − | 0.273679i | ||||
\(260\) | −3.76725 | − | 11.5944i | −0.233635 | − | 0.719054i | ||||
\(261\) | 0.202944 | − | 0.624596i | 0.0125619 | − | 0.0386615i | ||||
\(262\) | −15.5197 | − | 11.2757i | −0.958809 | − | 0.696616i | ||||
\(263\) | −4.03460 | + | 12.4172i | −0.248784 | + | 0.765678i | 0.746207 | + | 0.665714i | \(0.231873\pi\) |
−0.994991 | + | 0.0999642i | \(0.968127\pi\) | |||||||
\(264\) | 11.5030 | − | 35.4025i | 0.707959 | − | 2.17887i | ||||
\(265\) | 1.44134 | + | 1.04719i | 0.0885406 | + | 0.0643285i | ||||
\(266\) | 1.56061 | − | 4.80306i | 0.0956870 | − | 0.294494i | ||||
\(267\) | −1.78568 | − | 5.49575i | −0.109282 | − | 0.336335i | ||||
\(268\) | −21.1018 | + | 15.3314i | −1.28900 | + | 0.936513i | ||||
\(269\) | −3.00050 | − | 9.23459i | −0.182944 | − | 0.563043i | 0.816963 | − | 0.576690i | \(-0.195656\pi\) |
−0.999907 | + | 0.0136471i | \(0.995656\pi\) | |||||||
\(270\) | −32.0975 | − | 23.3202i | −1.95339 | − | 1.41922i | ||||
\(271\) | 16.6997 | + | 12.1331i | 1.01444 | + | 0.737032i | 0.965135 | − | 0.261752i | \(-0.0843003\pi\) |
0.0493022 | + | 0.998784i | \(0.484300\pi\) | |||||||
\(272\) | −34.9594 | + | 25.3995i | −2.11973 | + | 1.54007i | ||||
\(273\) | 1.83500 | 0.111059 | ||||||||
\(274\) | −37.1695 | −2.24549 | ||||||||
\(275\) | −13.7104 | + | 9.96119i | −0.826769 | + | 0.600683i | ||||
\(276\) | −6.29757 | + | 19.3819i | −0.379069 | + | 1.16666i | ||||
\(277\) | −4.62884 | − | 14.2461i | −0.278120 | − | 0.855966i | −0.988377 | − | 0.152023i | \(-0.951421\pi\) |
0.710257 | − | 0.703943i | \(-0.248579\pi\) | |||||||
\(278\) | −3.68599 | −0.221071 | ||||||||
\(279\) | 1.35076 | + | 7.97158i | 0.0808676 | + | 0.477246i | ||||
\(280\) | −23.8507 | −1.42535 | ||||||||
\(281\) | 6.41599 | + | 19.7464i | 0.382746 | + | 1.17797i | 0.938102 | + | 0.346358i | \(0.112582\pi\) |
−0.555356 | + | 0.831613i | \(0.687418\pi\) | |||||||
\(282\) | −3.40660 | + | 10.4844i | −0.202860 | + | 0.624340i | ||||
\(283\) | 4.97301 | − | 3.61310i | 0.295615 | − | 0.214777i | −0.430085 | − | 0.902788i | \(-0.641516\pi\) |
0.725699 | + | 0.688012i | \(0.241516\pi\) | |||||||
\(284\) | 33.2587 | 1.97354 | ||||||||
\(285\) | −4.87613 | −0.288837 | ||||||||
\(286\) | −10.7218 | + | 7.78988i | −0.633996 | + | 0.460625i | ||||
\(287\) | −14.4463 | − | 10.4959i | −0.852739 | − | 0.619551i | ||||
\(288\) | 3.22344 | + | 2.34197i | 0.189943 | + | 0.138002i | ||||
\(289\) | 13.0676 | + | 40.2179i | 0.768682 | + | 2.36576i | ||||
\(290\) | −2.62071 | + | 1.90406i | −0.153894 | + | 0.111810i | ||||
\(291\) | 3.17338 | + | 9.76667i | 0.186027 | + | 0.572532i | ||||
\(292\) | 5.67277 | − | 17.4590i | 0.331974 | − | 1.02171i | ||||
\(293\) | 8.86650 | + | 6.44189i | 0.517987 | + | 0.376339i | 0.815845 | − | 0.578271i | \(-0.196272\pi\) |
−0.297858 | + | 0.954610i | \(0.596272\pi\) | |||||||
\(294\) | −4.63993 | + | 14.2803i | −0.270606 | + | 0.832841i | ||||
\(295\) | −4.12718 | + | 12.7021i | −0.240293 | + | 0.739547i | ||||
\(296\) | 23.2121 | + | 16.8646i | 1.34918 | + | 0.980236i | ||||
\(297\) | −9.06826 | + | 27.9092i | −0.526194 | + | 1.61946i | ||||
\(298\) | −5.05738 | − | 15.5650i | −0.292966 | − | 0.901657i | ||||
\(299\) | 3.11255 | − | 2.26140i | 0.180004 | − | 0.130780i | ||||
\(300\) | 5.23600 | + | 16.1147i | 0.302300 | + | 0.930385i | ||||
\(301\) | −9.56360 | − | 6.94836i | −0.551237 | − | 0.400497i | ||||
\(302\) | −6.63619 | − | 4.82148i | −0.381870 | − | 0.277445i | ||||
\(303\) | −1.68697 | + | 1.22565i | −0.0969137 | + | 0.0704119i | ||||
\(304\) | 7.68176 | 0.440579 | ||||||||
\(305\) | −29.9103 | −1.71266 | ||||||||
\(306\) | 22.6285 | − | 16.4405i | 1.29358 | − | 0.939843i | ||||
\(307\) | 6.49329 | − | 19.9843i | 0.370592 | − | 1.14056i | −0.575813 | − | 0.817581i | \(-0.695314\pi\) |
0.946405 | − | 0.322983i | \(-0.104686\pi\) | |||||||
\(308\) | 10.2808 | + | 31.6411i | 0.585804 | + | 1.80292i | ||||
\(309\) | −17.4061 | −0.990196 | ||||||||
\(310\) | 17.7215 | − | 35.7267i | 1.00652 | − | 2.02914i | ||||
\(311\) | 0.459578 | 0.0260603 | 0.0130301 | − | 0.999915i | \(-0.495852\pi\) | ||||
0.0130301 | + | 0.999915i | \(0.495852\pi\) | |||||||
\(312\) | 2.17121 | + | 6.68231i | 0.122921 | + | 0.378311i | ||||
\(313\) | −7.58256 | + | 23.3367i | −0.428592 | + | 1.31907i | 0.470921 | + | 0.882175i | \(0.343922\pi\) |
−0.899513 | + | 0.436894i | \(0.856078\pi\) | |||||||
\(314\) | −30.6956 | + | 22.3017i | −1.73225 | + | 1.25856i | ||||
\(315\) | 6.13277 | 0.345542 | ||||||||
\(316\) | −39.9667 | −2.24830 | ||||||||
\(317\) | −4.75369 | + | 3.45376i | −0.266994 | + | 0.193982i | −0.713225 | − | 0.700936i | \(-0.752766\pi\) |
0.446231 | + | 0.894918i | \(0.352766\pi\) | |||||||
\(318\) | −1.56661 | − | 1.13821i | −0.0878509 | − | 0.0638274i | ||||
\(319\) | 1.93842 | + | 1.40834i | 0.108531 | + | 0.0788521i | ||||
\(320\) | 3.85829 | + | 11.8746i | 0.215685 | + | 0.663810i | ||||
\(321\) | −12.7249 | + | 9.24519i | −0.710235 | + | 0.516016i | ||||
\(322\) | −4.38649 | − | 13.5002i | −0.244449 | − | 0.752338i | ||||
\(323\) | 3.25687 | − | 10.0236i | 0.181217 | − | 0.557729i | ||||
\(324\) | 8.73117 | + | 6.34357i | 0.485065 | + | 0.352420i | ||||
\(325\) | 0.988479 | − | 3.04223i | 0.0548310 | − | 0.168752i | ||||
\(326\) | 5.35531 | − | 16.4819i | 0.296603 | − | 0.912851i | ||||
\(327\) | 7.08137 | + | 5.14492i | 0.391601 | + | 0.284515i | ||||
\(328\) | 21.1284 | − | 65.0265i | 1.16662 | − | 3.59049i | ||||
\(329\) | −1.61444 | − | 4.96875i | −0.0890072 | − | 0.273936i | ||||
\(330\) | 38.1952 | − | 27.7505i | 2.10258 | − | 1.52761i | ||||
\(331\) | −1.40745 | − | 4.33169i | −0.0773605 | − | 0.238091i | 0.904896 | − | 0.425632i | \(-0.139948\pi\) |
−0.982257 | + | 0.187541i | \(0.939948\pi\) | |||||||
\(332\) | 55.2485 | + | 40.1404i | 3.03215 | + | 2.20299i | ||||
\(333\) | −5.96857 | − | 4.33642i | −0.327076 | − | 0.237634i | ||||
\(334\) | −33.2251 | + | 24.1394i | −1.81799 | + | 1.32085i | ||||
\(335\) | −17.5416 | −0.958403 | ||||||||
\(336\) | 10.2982 | 0.561812 | ||||||||
\(337\) | −15.0048 | + | 10.9017i | −0.817366 | + | 0.593851i | −0.915957 | − | 0.401277i | \(-0.868567\pi\) |
0.0985908 | + | 0.995128i | \(0.468567\pi\) | |||||||
\(338\) | 0.773013 | − | 2.37909i | 0.0420464 | − | 0.129405i | ||||
\(339\) | 4.79053 | + | 14.7437i | 0.260186 | + | 0.800769i | ||||
\(340\) | −93.8693 | −5.09078 | ||||||||
\(341\) | −29.1826 | − | 4.30035i | −1.58032 | − | 0.232877i | ||||
\(342\) | −4.97223 | −0.268867 | ||||||||
\(343\) | −5.38939 | − | 16.5868i | −0.290999 | − | 0.895604i | ||||
\(344\) | 13.9872 | − | 43.0482i | 0.754139 | − | 2.32100i | ||||
\(345\) | −11.0881 | + | 8.05596i | −0.596962 | + | 0.433718i | ||||
\(346\) | −15.0520 | −0.809203 | ||||||||
\(347\) | 22.5600 | 1.21108 | 0.605542 | − | 0.795814i | \(-0.292957\pi\) | ||||
0.605542 | + | 0.795814i | \(0.292957\pi\) | |||||||
\(348\) | 1.93808 | − | 1.40810i | 0.103892 | − | 0.0754819i | ||||
\(349\) | 14.7673 | + | 10.7290i | 0.790473 | + | 0.574312i | 0.908104 | − | 0.418745i | \(-0.137530\pi\) |
−0.117631 | + | 0.993057i | \(0.537530\pi\) | |||||||
\(350\) | −9.54813 | − | 6.93712i | −0.510369 | − | 0.370805i | ||||
\(351\) | −1.71166 | − | 5.26794i | −0.0913615 | − | 0.281182i | ||||
\(352\) | −11.7603 | + | 8.54433i | −0.626824 | + | 0.455414i | ||||
\(353\) | −3.76564 | − | 11.5895i | −0.200425 | − | 0.616845i | −0.999870 | − | 0.0161058i | \(-0.994873\pi\) |
0.799445 | − | 0.600739i | \(-0.205127\pi\) | |||||||
\(354\) | 4.48588 | − | 13.8061i | 0.238422 | − | 0.733787i | ||||
\(355\) | 18.0955 | + | 13.1471i | 0.960409 | + | 0.697778i | ||||
\(356\) | −6.11090 | + | 18.8074i | −0.323877 | + | 0.996792i | ||||
\(357\) | 4.36616 | − | 13.4377i | 0.231082 | − | 0.711197i | ||||
\(358\) | −11.6428 | − | 8.45899i | −0.615341 | − | 0.447071i | ||||
\(359\) | 1.48966 | − | 4.58469i | 0.0786210 | − | 0.241971i | −0.904019 | − | 0.427492i | \(-0.859397\pi\) |
0.982640 | + | 0.185521i | \(0.0593973\pi\) | |||||||
\(360\) | 7.25644 | + | 22.3330i | 0.382448 | + | 1.17705i | ||||
\(361\) | 13.8556 | − | 10.0667i | 0.729240 | − | 0.529824i | ||||
\(362\) | −4.44367 | − | 13.6762i | −0.233554 | − | 0.718805i | ||||
\(363\) | −17.1795 | − | 12.4816i | −0.901690 | − | 0.655116i | ||||
\(364\) | −5.08037 | − | 3.69111i | −0.266284 | − | 0.193467i | ||||
\(365\) | 9.98800 | − | 7.25671i | 0.522796 | − | 0.379834i | ||||
\(366\) | 32.5098 | 1.69932 | ||||||||
\(367\) | 22.5284 | 1.17597 | 0.587987 | − | 0.808870i | \(-0.299921\pi\) | ||||
0.587987 | + | 0.808870i | \(0.299921\pi\) | |||||||
\(368\) | 17.4679 | − | 12.6912i | 0.910579 | − | 0.661574i | ||||
\(369\) | −5.43278 | + | 16.7204i | −0.282819 | + | 0.870428i | ||||
\(370\) | 11.2451 | + | 34.6089i | 0.584606 | + | 1.79923i | ||||
\(371\) | 0.917706 | 0.0476449 | ||||||||
\(372\) | −13.1055 | + | 26.4208i | −0.679488 | + | 1.36985i | ||||
\(373\) | 19.9251 | 1.03168 | 0.515841 | − | 0.856684i | \(-0.327480\pi\) | ||||
0.515841 | + | 0.856684i | \(0.327480\pi\) | |||||||
\(374\) | 31.5338 | + | 97.0511i | 1.63057 | + | 5.01839i | ||||
\(375\) | 1.98284 | − | 6.10255i | 0.102393 | − | 0.315134i | ||||
\(376\) | 16.1839 | − | 11.7583i | 0.834620 | − | 0.606387i | ||||
\(377\) | −0.452254 | −0.0232923 | ||||||||
\(378\) | −20.4367 | −1.05115 | ||||||||
\(379\) | −19.4377 | + | 14.1223i | −0.998447 | + | 0.725415i | −0.961755 | − | 0.273912i | \(-0.911682\pi\) |
−0.0366927 | + | 0.999327i | \(0.511682\pi\) | |||||||
\(380\) | 13.5000 | + | 9.80836i | 0.692538 | + | 0.503158i | ||||
\(381\) | −10.2341 | − | 7.43548i | −0.524307 | − | 0.380931i | ||||
\(382\) | −4.47038 | − | 13.7584i | −0.228725 | − | 0.703942i | ||||
\(383\) | 29.5678 | − | 21.4823i | 1.51084 | − | 1.09769i | 0.545043 | − | 0.838408i | \(-0.316513\pi\) |
0.965801 | − | 0.259284i | \(-0.0834867\pi\) | |||||||
\(384\) | −6.30336 | − | 19.3997i | −0.321667 | − | 0.989989i | ||||
\(385\) | −6.91410 | + | 21.2794i | −0.352375 | + | 1.08450i | ||||
\(386\) | −15.4356 | − | 11.2146i | −0.785652 | − | 0.570809i | ||||
\(387\) | −3.59655 | + | 11.0690i | −0.182823 | + | 0.562671i | ||||
\(388\) | 10.8599 | − | 33.4232i | 0.551326 | − | 1.69681i | ||||
\(389\) | −17.8448 | − | 12.9650i | −0.904766 | − | 0.657351i | 0.0349199 | − | 0.999390i | \(-0.488882\pi\) |
−0.939686 | + | 0.342039i | \(0.888882\pi\) | |||||||
\(390\) | −2.75376 | + | 8.47521i | −0.139442 | + | 0.429159i | ||||
\(391\) | −9.15426 | − | 28.1739i | −0.462951 | − | 1.42482i | ||||
\(392\) | 22.0431 | − | 16.0153i | 1.11335 | − | 0.808893i | ||||
\(393\) | 2.94827 | + | 9.07385i | 0.148721 | + | 0.457715i | ||||
\(394\) | 47.4683 | + | 34.4878i | 2.39142 | + | 1.73747i | ||||
\(395\) | −21.7452 | − | 15.7988i | −1.09412 | − | 0.794925i | ||||
\(396\) | 26.4998 | − | 19.2532i | 1.33167 | − | 0.967512i | ||||
\(397\) | −35.9526 | −1.80441 | −0.902205 | − | 0.431308i | \(-0.858052\pi\) | ||||
−0.902205 | + | 0.431308i | \(0.858052\pi\) | |||||||
\(398\) | 65.7219 | 3.29434 | ||||||||
\(399\) | −2.03203 | + | 1.47635i | −0.101729 | + | 0.0739101i | ||||
\(400\) | 5.54744 | − | 17.0733i | 0.277372 | − | 0.853663i | ||||
\(401\) | 2.47814 | + | 7.62693i | 0.123752 | + | 0.380871i | 0.993672 | − | 0.112323i | \(-0.0358293\pi\) |
−0.869919 | + | 0.493194i | \(0.835829\pi\) | |||||||
\(402\) | 19.0662 | 0.950937 | ||||||||
\(403\) | 4.93340 | − | 2.58101i | 0.245750 | − | 0.128569i | ||||
\(404\) | 7.13594 | 0.355026 | ||||||||
\(405\) | 2.24288 | + | 6.90286i | 0.111449 | + | 0.343006i | ||||
\(406\) | −0.515632 | + | 1.58695i | −0.0255904 | + | 0.0787592i | ||||
\(407\) | 21.7755 | − | 15.8208i | 1.07937 | − | 0.784208i | ||||
\(408\) | 54.1006 | 2.67838 | ||||||||
\(409\) | −34.3095 | −1.69649 | −0.848247 | − | 0.529600i | \(-0.822342\pi\) | ||||
−0.848247 | + | 0.529600i | \(0.822342\pi\) | |||||||
\(410\) | 70.1562 | − | 50.9714i | 3.46477 | − | 2.51730i | ||||
\(411\) | 14.9556 | + | 10.8659i | 0.737707 | + | 0.535976i | ||||
\(412\) | 48.1904 | + | 35.0124i | 2.37417 | + | 1.72493i | ||||
\(413\) | 2.12593 | + | 6.54294i | 0.104610 | + | 0.321957i | ||||
\(414\) | −11.3066 | + | 8.21473i | −0.555689 | + | 0.403732i | ||||
\(415\) | 14.1923 | + | 43.6794i | 0.696673 | + | 2.14414i | ||||
\(416\) | 0.847880 | − | 2.60951i | 0.0415707 | − | 0.127942i | ||||
\(417\) | 1.48311 | + | 1.07754i | 0.0726280 | + | 0.0527674i | ||||
\(418\) | 5.60571 | − | 17.2526i | 0.274184 | − | 0.843852i | ||||
\(419\) | −6.59207 | + | 20.2883i | −0.322044 | + | 0.991149i | 0.650714 | + | 0.759323i | \(0.274470\pi\) |
−0.972757 | + | 0.231826i | \(0.925530\pi\) | |||||||
\(420\) | 18.0982 | + | 13.1491i | 0.883101 | + | 0.641610i | ||||
\(421\) | 11.7872 | − | 36.2773i | 0.574473 | − | 1.76805i | −0.0634951 | − | 0.997982i | \(-0.520225\pi\) |
0.637968 | − | 0.770063i | \(-0.279775\pi\) | |||||||
\(422\) | 2.29623 | + | 7.06708i | 0.111779 | + | 0.344020i | ||||
\(423\) | −4.16139 | + | 3.02342i | −0.202334 | + | 0.147004i | ||||
\(424\) | 1.08585 | + | 3.34191i | 0.0527337 | + | 0.162297i | ||||
\(425\) | −19.9262 | − | 14.4772i | −0.966564 | − | 0.702250i | ||||
\(426\) | −19.6682 | − | 14.2898i | −0.952928 | − | 0.692343i | ||||
\(427\) | −12.4645 | + | 9.05597i | −0.603198 | + | 0.438249i | ||||
\(428\) | 53.8269 | 2.60182 | ||||||||
\(429\) | 6.59132 | 0.318232 | ||||||||
\(430\) | 46.4440 | − | 33.7436i | 2.23973 | − | 1.62726i | ||||
\(431\) | −9.18734 | + | 28.2757i | −0.442539 | + | 1.36199i | 0.442622 | + | 0.896708i | \(0.354048\pi\) |
−0.885160 | + | 0.465286i | \(0.845952\pi\) | |||||||
\(432\) | −9.60597 | − | 29.5641i | −0.462168 | − | 1.42241i | ||||
\(433\) | 7.31295 | 0.351438 | 0.175719 | − | 0.984440i | \(-0.443775\pi\) | ||||
0.175719 | + | 0.984440i | \(0.443775\pi\) | |||||||
\(434\) | −3.43196 | − | 20.2539i | −0.164739 | − | 0.972220i | ||||
\(435\) | 1.61110 | 0.0772462 | ||||||||
\(436\) | −9.25645 | − | 28.4884i | −0.443304 | − | 1.36435i | ||||
\(437\) | −1.62734 | + | 5.00843i | −0.0778461 | + | 0.239586i | ||||
\(438\) | −10.8561 | + | 7.88741i | −0.518724 | + | 0.376875i | ||||
\(439\) | 11.2636 | 0.537582 | 0.268791 | − | 0.963198i | \(-0.413376\pi\) | ||||
0.268791 | + | 0.963198i | \(0.413376\pi\) | |||||||
\(440\) | −85.6718 | −4.08424 | ||||||||
\(441\) | −5.66798 | + | 4.11803i | −0.269904 | + | 0.196097i | ||||
\(442\) | −15.5828 | − | 11.3215i | −0.741196 | − | 0.538510i | ||||
\(443\) | −10.2132 | − | 7.42034i | −0.485245 | − | 0.352551i | 0.318108 | − | 0.948055i | \(-0.396953\pi\) |
−0.803353 | + | 0.595503i | \(0.796953\pi\) | |||||||
\(444\) | −8.31603 | − | 25.5941i | −0.394662 | − | 1.21464i | ||||
\(445\) | −10.7594 | + | 7.81717i | −0.510045 | + | 0.370569i | ||||
\(446\) | 13.9161 | + | 42.8293i | 0.658945 | + | 2.02802i | ||||
\(447\) | −2.51528 | + | 7.74122i | −0.118968 | + | 0.366147i | ||||
\(448\) | 5.20314 | + | 3.78031i | 0.245825 | + | 0.178603i | ||||
\(449\) | −0.795983 | + | 2.44979i | −0.0375648 | + | 0.115613i | −0.968081 | − | 0.250639i | \(-0.919359\pi\) |
0.930516 | + | 0.366252i | \(0.119359\pi\) | |||||||
\(450\) | −3.59073 | + | 11.0511i | −0.169269 | + | 0.520956i | ||||
\(451\) | −51.8912 | − | 37.7012i | −2.44346 | − | 1.77528i | ||||
\(452\) | 16.3940 | − | 50.4556i | 0.771110 | − | 2.37323i | ||||
\(453\) | 1.26068 | + | 3.87997i | 0.0592318 | + | 0.182297i | ||||
\(454\) | 13.0212 | − | 9.46044i | 0.611114 | − | 0.444000i | ||||
\(455\) | −1.30505 | − | 4.01654i | −0.0611818 | − | 0.188298i | ||||
\(456\) | −7.78061 | − | 5.65295i | −0.364361 | − | 0.264724i | ||||
\(457\) | 15.7107 | + | 11.4145i | 0.734916 | + | 0.533948i | 0.891115 | − | 0.453778i | \(-0.149924\pi\) |
−0.156199 | + | 0.987726i | \(0.549924\pi\) | |||||||
\(458\) | 12.7769 | − | 9.28297i | 0.597026 | − | 0.433765i | ||||
\(459\) | −42.6497 | −1.99072 | ||||||||
\(460\) | 46.9030 | 2.18686 | ||||||||
\(461\) | −17.5427 | + | 12.7455i | −0.817043 | + | 0.593617i | −0.915864 | − | 0.401489i | \(-0.868493\pi\) |
0.0988208 | + | 0.995105i | \(0.468493\pi\) | |||||||
\(462\) | 7.51502 | − | 23.1288i | 0.349630 | − | 1.07605i | ||||
\(463\) | 1.84021 | + | 5.66359i | 0.0855219 | + | 0.263209i | 0.984668 | − | 0.174439i | \(-0.0558113\pi\) |
−0.899146 | + | 0.437649i | \(0.855811\pi\) | |||||||
\(464\) | −2.53809 | −0.117828 | ||||||||
\(465\) | −17.5746 | + | 9.19451i | −0.815003 | + | 0.426385i | ||||
\(466\) | −33.1379 | −1.53508 | ||||||||
\(467\) | −8.22004 | − | 25.2987i | −0.380378 | − | 1.17068i | −0.939778 | − | 0.341786i | \(-0.888968\pi\) |
0.559400 | − | 0.828898i | \(-0.311032\pi\) | |||||||
\(468\) | −1.91056 | + | 5.88009i | −0.0883155 | + | 0.271807i | ||||
\(469\) | −7.31011 | + | 5.31111i | −0.337550 | + | 0.245244i | ||||
\(470\) | 25.3717 | 1.17031 | ||||||||
\(471\) | 18.8703 | 0.869498 | ||||||||
\(472\) | −21.3113 | + | 15.4835i | −0.980930 | + | 0.712687i | ||||
\(473\) | −34.3525 | − | 24.9585i | −1.57953 | − | 1.14759i | ||||
\(474\) | 23.6351 | + | 17.1719i | 1.08560 | + | 0.788733i | ||||
\(475\) | 1.35302 | + | 4.16416i | 0.0620807 | + | 0.191065i | ||||
\(476\) | −39.1181 | + | 28.4209i | −1.79297 | + | 1.30267i | ||||
\(477\) | −0.279207 | − | 0.859310i | −0.0127840 | − | 0.0393451i | ||||
\(478\) | −12.7394 | + | 39.2078i | −0.582686 | + | 1.79332i | ||||
\(479\) | −6.43678 | − | 4.67660i | −0.294104 | − | 0.213679i | 0.430942 | − | 0.902380i | \(-0.358181\pi\) |
−0.725046 | + | 0.688701i | \(0.758181\pi\) | |||||||
\(480\) | −3.02046 | + | 9.29603i | −0.137865 | + | 0.424304i | ||||
\(481\) | −1.56995 | + | 4.83180i | −0.0715833 | + | 0.220311i | ||||
\(482\) | −34.7115 | − | 25.2194i | −1.58107 | − | 1.14871i | ||||
\(483\) | −2.18161 | + | 6.71430i | −0.0992667 | + | 0.305511i | ||||
\(484\) | 22.4563 | + | 69.1133i | 1.02074 | + | 3.14151i | ||||
\(485\) | 19.1209 | − | 13.8921i | 0.868234 | − | 0.630809i | ||||
\(486\) | 10.4074 | + | 32.0308i | 0.472091 | + | 1.45295i | ||||
\(487\) | −0.818392 | − | 0.594597i | −0.0370849 | − | 0.0269437i | 0.569088 | − | 0.822276i | \(-0.307296\pi\) |
−0.606173 | + | 0.795333i | \(0.707296\pi\) | |||||||
\(488\) | −47.7264 | − | 34.6753i | −2.16047 | − | 1.56968i | ||||
\(489\) | −6.97301 | + | 5.06618i | −0.315330 | + | 0.229101i | ||||
\(490\) | 34.5573 | 1.56114 | ||||||||
\(491\) | 7.20785 | 0.325286 | 0.162643 | − | 0.986685i | \(-0.447998\pi\) | ||||
0.162643 | + | 0.986685i | \(0.447998\pi\) | |||||||
\(492\) | −51.8822 | + | 37.6946i | −2.33903 | + | 1.69940i | ||||
\(493\) | −1.07609 | + | 3.31185i | −0.0484644 | + | 0.149158i | ||||
\(494\) | 1.05809 | + | 3.25647i | 0.0476058 | + | 0.146515i | ||||
\(495\) | 22.0289 | 0.990126 | ||||||||
\(496\) | 27.6867 | − | 14.4848i | 1.24317 | − | 0.650388i | ||||
\(497\) | 11.5215 | 0.516809 | ||||||||
\(498\) | −15.4258 | − | 47.4757i | −0.691246 | − | 2.12744i | ||||
\(499\) | −4.92752 | + | 15.1654i | −0.220586 | + | 0.678894i | 0.778124 | + | 0.628111i | \(0.216172\pi\) |
−0.998710 | + | 0.0507831i | \(0.983828\pi\) | |||||||
\(500\) | −17.7650 | + | 12.9070i | −0.794474 | + | 0.577219i | ||||
\(501\) | 20.4253 | 0.912535 | ||||||||
\(502\) | −50.4507 | −2.25173 | ||||||||
\(503\) | −5.35795 | + | 3.89278i | −0.238899 | + | 0.173570i | −0.700793 | − | 0.713365i | \(-0.747170\pi\) |
0.461894 | + | 0.886935i | \(0.347170\pi\) | |||||||
\(504\) | 9.78577 | + | 7.10977i | 0.435893 | + | 0.316695i | ||||
\(505\) | 3.88255 | + | 2.82083i | 0.172771 | + | 0.125526i | ||||
\(506\) | −15.7563 | − | 48.4928i | −0.700452 | − | 2.15577i | ||||
\(507\) | −1.00652 | + | 0.731280i | −0.0447011 | + | 0.0324773i | ||||
\(508\) | 13.3775 | + | 41.1717i | 0.593531 | + | 1.82670i | ||||
\(509\) | 4.45611 | − | 13.7145i | 0.197514 | − | 0.607884i | −0.802425 | − | 0.596754i | \(-0.796457\pi\) |
0.999938 | − | 0.0111305i | \(-0.00354303\pi\) | |||||||
\(510\) | 55.5116 | + | 40.3315i | 2.45810 | + | 1.78591i | ||||
\(511\) | 1.96517 | − | 6.04816i | 0.0869339 | − | 0.267555i | ||||
\(512\) | −14.8297 | + | 45.6412i | −0.655388 | + | 2.01708i | ||||
\(513\) | 6.13378 | + | 4.45645i | 0.270813 | + | 0.196757i | ||||
\(514\) | −18.1028 | + | 55.7147i | −0.798481 | + | 2.45747i | ||||
\(515\) | 12.3792 | + | 38.0993i | 0.545493 | + | 1.67885i | ||||
\(516\) | −34.3465 | + | 24.9542i | −1.51202 | + | 1.09855i | ||||
\(517\) | −5.79908 | − | 17.8477i | −0.255043 | − | 0.784943i | ||||
\(518\) | 15.1648 | + | 11.0178i | 0.666301 | + | 0.484096i | ||||
\(519\) | 6.05638 | + | 4.40022i | 0.265846 | + | 0.193148i | ||||
\(520\) | 13.0824 | − | 9.50493i | 0.573702 | − | 0.416819i | ||||
\(521\) | 27.8241 | 1.21900 | 0.609499 | − | 0.792787i | \(-0.291371\pi\) | ||||
0.609499 | + | 0.792787i | \(0.291371\pi\) | |||||||
\(522\) | 1.64285 | 0.0719055 | ||||||||
\(523\) | 22.9623 | − | 16.6831i | 1.00407 | − | 0.729501i | 0.0411145 | − | 0.999154i | \(-0.486909\pi\) |
0.962957 | + | 0.269654i | \(0.0869092\pi\) | |||||||
\(524\) | 10.0895 | − | 31.0523i | 0.440762 | − | 1.35653i | ||||
\(525\) | 1.81386 | + | 5.58248i | 0.0791633 | + | 0.243639i | ||||
\(526\) | −32.6605 | −1.42406 | ||||||||
\(527\) | −7.16223 | − | 42.2684i | −0.311991 | − | 1.84124i | ||||
\(528\) | 36.9911 | 1.60983 | ||||||||
\(529\) | −2.53335 | − | 7.79684i | −0.110145 | − | 0.338993i | ||||
\(530\) | −1.37719 | + | 4.23856i | −0.0598214 | + | 0.184111i | ||||
\(531\) | 5.47979 | − | 3.98130i | 0.237803 | − | 0.172774i | ||||
\(532\) | 8.59555 | 0.372664 | ||||||||
\(533\) | 12.1068 | 0.524403 | ||||||||
\(534\) | 11.6945 | − | 8.49658i | 0.506072 | − | 0.367683i | ||||
\(535\) | 29.2863 | + | 21.2777i | 1.26616 | + | 0.919917i | ||||
\(536\) | −27.9904 | − | 20.3362i | −1.20900 | − | 0.878390i | ||||
\(537\) | 2.21178 | + | 6.80716i | 0.0954454 | + | 0.293751i | ||||
\(538\) | 19.6505 | − | 14.2769i | 0.847193 | − | 0.615522i | ||||
\(539\) | −7.89860 | − | 24.3094i | −0.340217 | − | 1.04708i | ||||
\(540\) | 20.8669 | − | 64.2218i | 0.897969 | − | 2.76367i | ||||
\(541\) | 19.8161 | + | 14.3972i | 0.851959 | + | 0.618984i | 0.925685 | − | 0.378294i | \(-0.123489\pi\) |
−0.0737265 | + | 0.997278i | \(0.523489\pi\) | |||||||
\(542\) | −15.9566 | + | 49.1092i | −0.685393 | + | 2.10942i | ||||
\(543\) | −2.21005 | + | 6.80183i | −0.0948422 | + | 0.291894i | ||||
\(544\) | −17.0919 | − | 12.4180i | −0.732811 | − | 0.532418i | ||||
\(545\) | 6.22519 | − | 19.1592i | 0.266658 | − | 0.820688i | ||||
\(546\) | 1.41848 | + | 4.36563i | 0.0607053 | + | 0.186832i | ||||
\(547\) | −14.4919 | + | 10.5290i | −0.619631 | + | 0.450188i | −0.852792 | − | 0.522250i | \(-0.825093\pi\) |
0.233162 | + | 0.972438i | \(0.425093\pi\) | |||||||
\(548\) | −19.5493 | − | 60.1667i | −0.835106 | − | 2.57019i | ||||
\(549\) | 12.2720 | + | 8.91610i | 0.523754 | + | 0.380530i | ||||
\(550\) | −34.2969 | − | 24.9182i | −1.46243 | − | 1.06251i | ||||
\(551\) | 0.500813 | − | 0.363862i | 0.0213354 | − | 0.0155011i | ||||
\(552\) | −27.0321 | −1.15056 | ||||||||
\(553\) | −13.8453 | −0.588762 | ||||||||
\(554\) | 30.3146 | − | 22.0249i | 1.28794 | − | 0.935747i | ||||
\(555\) | 5.59273 | − | 17.2127i | 0.237398 | − | 0.730637i | ||||
\(556\) | −1.93865 | − | 5.96655i | −0.0822170 | − | 0.253038i | ||||
\(557\) | −5.37026 | −0.227545 | −0.113773 | − | 0.993507i | \(-0.536294\pi\) | ||||
−0.113773 | + | 0.993507i | \(0.536294\pi\) | |||||||
\(558\) | −17.9210 | + | 9.37571i | −0.758655 | + | 0.396905i | ||||
\(559\) | 8.01480 | 0.338990 | ||||||||
\(560\) | −7.32407 | − | 22.5412i | −0.309499 | − | 0.952539i | ||||
\(561\) | 15.6833 | − | 48.2681i | 0.662148 | − | 2.03788i | ||||
\(562\) | −42.0188 | + | 30.5284i | −1.77246 | + | 1.28776i | ||||
\(563\) | −19.7609 | −0.832822 | −0.416411 | − | 0.909177i | \(-0.636712\pi\) | ||||
−0.416411 | + | 0.909177i | \(0.636712\pi\) | |||||||
\(564\) | −18.7630 | −0.790063 | ||||||||
\(565\) | 28.8648 | − | 20.9715i | 1.21435 | − | 0.882278i | ||||
\(566\) | 12.4401 | + | 9.03826i | 0.522896 | + | 0.379906i | ||||
\(567\) | 3.02466 | + | 2.19754i | 0.127024 | + | 0.0922882i | ||||
\(568\) | 13.6325 | + | 41.9565i | 0.572007 | + | 1.76046i | ||||
\(569\) | 22.5092 | − | 16.3539i | 0.943635 | − | 0.685591i | −0.00565798 | − | 0.999984i | \(-0.501801\pi\) |
0.949293 | + | 0.314393i | \(0.101801\pi\) | |||||||
\(570\) | −3.76932 | − | 11.6008i | −0.157879 | − | 0.485902i | ||||
\(571\) | −7.74224 | + | 23.8282i | −0.324002 | + | 0.997177i | 0.647886 | + | 0.761737i | \(0.275653\pi\) |
−0.971889 | + | 0.235440i | \(0.924347\pi\) | |||||||
\(572\) | −18.2487 | − | 13.2585i | −0.763017 | − | 0.554364i | ||||
\(573\) | −2.22334 | + | 6.84272i | −0.0928812 | + | 0.285859i | ||||
\(574\) | 13.8034 | − | 42.4825i | 0.576143 | − | 1.77319i | ||||
\(575\) | 9.95639 | + | 7.23374i | 0.415210 | + | 0.301668i | ||||
\(576\) | 1.95673 | − | 6.02219i | 0.0815303 | − | 0.250925i | ||||
\(577\) | −1.90669 | − | 5.86818i | −0.0793765 | − | 0.244296i | 0.903492 | − | 0.428606i | \(-0.140995\pi\) |
−0.982868 | + | 0.184310i | \(0.940995\pi\) | |||||||
\(578\) | −85.5806 | + | 62.1780i | −3.55968 | + | 2.58626i | ||||
\(579\) | 2.93230 | + | 9.02470i | 0.121862 | + | 0.375054i | ||||
\(580\) | −4.46048 | − | 3.24073i | −0.185211 | − | 0.134564i | ||||
\(581\) | 19.1392 | + | 13.9055i | 0.794028 | + | 0.576895i | ||||
\(582\) | −20.7827 | + | 15.0995i | −0.861471 | + | 0.625896i | ||||
\(583\) | 3.29640 | 0.136523 | ||||||||
\(584\) | 24.3502 | 1.00762 | ||||||||
\(585\) | −3.36390 | + | 2.44402i | −0.139080 | + | 0.101048i | ||||
\(586\) | −8.47192 | + | 26.0739i | −0.349972 | + | 1.07710i | ||||
\(587\) | 3.75895 | + | 11.5689i | 0.155149 | + | 0.477498i | 0.998176 | − | 0.0603725i | \(-0.0192288\pi\) |
−0.843027 | + | 0.537871i | \(0.819229\pi\) | |||||||
\(588\) | −25.5559 | −1.05391 | ||||||||
\(589\) | −3.38655 | + | 6.82731i | −0.139540 | + | 0.281315i | ||||
\(590\) | −33.4099 | −1.37546 | ||||||||
\(591\) | −9.01756 | − | 27.7532i | −0.370933 | − | 1.14161i | ||||
\(592\) | −8.81068 | + | 27.1165i | −0.362117 | + | 1.11448i | ||||
\(593\) | −12.5933 | + | 9.14956i | −0.517144 | + | 0.375727i | −0.815527 | − | 0.578719i | \(-0.803553\pi\) |
0.298383 | + | 0.954446i | \(0.403553\pi\) | |||||||
\(594\) | −73.4085 | −3.01199 | ||||||||
\(595\) | −32.5183 | −1.33312 | ||||||||
\(596\) | 22.5353 | − | 16.3728i | 0.923081 | − | 0.670658i | ||||
\(597\) | −26.4441 | − | 19.2127i | −1.08228 | − | 0.786325i | ||||
\(598\) | 7.78612 | + | 5.65695i | 0.318398 | + | 0.231330i | ||||
\(599\) | 8.85132 | + | 27.2416i | 0.361655 | + | 1.11306i | 0.952049 | + | 0.305945i | \(0.0989724\pi\) |
−0.590394 | + | 0.807115i | \(0.701028\pi\) | |||||||
\(600\) | −18.1829 | + | 13.2107i | −0.742314 | + | 0.539323i | ||||
\(601\) | 3.68436 | + | 11.3393i | 0.150288 | + | 0.462539i | 0.997653 | − | 0.0684717i | \(-0.0218123\pi\) |
−0.847365 | + | 0.531011i | \(0.821812\pi\) | |||||||
\(602\) | 9.13799 | − | 28.1238i | 0.372437 | − | 1.14624i | ||||
\(603\) | 7.19721 | + | 5.22908i | 0.293093 | + | 0.212944i | ||||
\(604\) | 4.31426 | − | 13.2779i | 0.175545 | − | 0.540271i | ||||
\(605\) | −15.1024 | + | 46.4803i | −0.613999 | + | 1.88969i | ||||
\(606\) | −4.21999 | − | 3.06600i | −0.171425 | − | 0.124548i | ||||
\(607\) | −10.6625 | + | 32.8157i | −0.432777 | + | 1.33195i | 0.462571 | + | 0.886582i | \(0.346927\pi\) |
−0.895348 | + | 0.445368i | \(0.853073\pi\) | |||||||
\(608\) | 1.16057 | + | 3.57186i | 0.0470672 | + | 0.144858i | ||||
\(609\) | 0.671391 | − | 0.487794i | 0.0272061 | − | 0.0197664i | ||||
\(610\) | −23.1210 | − | 71.1592i | −0.936143 | − | 2.88115i | ||||
\(611\) | 2.86568 | + | 2.08204i | 0.115933 | + | 0.0842302i | ||||
\(612\) | 38.5139 | + | 27.9820i | 1.55683 | + | 1.13110i | ||||
\(613\) | 27.3730 | − | 19.8876i | 1.10558 | − | 0.803253i | 0.123621 | − | 0.992330i | \(-0.460549\pi\) |
0.981962 | + | 0.189076i | \(0.0605493\pi\) | |||||||
\(614\) | 52.5638 | 2.12130 | ||||||||
\(615\) | −43.1289 | −1.73912 | ||||||||
\(616\) | −35.7019 | + | 25.9390i | −1.43847 | + | 1.04511i | ||||
\(617\) | 10.9638 | − | 33.7432i | 0.441387 | − | 1.35845i | −0.445011 | − | 0.895525i | \(-0.646800\pi\) |
0.886398 | − | 0.462924i | \(-0.153200\pi\) | |||||||
\(618\) | −13.4551 | − | 41.4106i | −0.541244 | − | 1.66578i | ||||
\(619\) | −7.47775 | −0.300556 | −0.150278 | − | 0.988644i | \(-0.548017\pi\) | ||||
−0.150278 | + | 0.988644i | \(0.548017\pi\) | |||||||
\(620\) | 67.1518 | + | 9.89551i | 2.69688 | + | 0.397413i | ||||
\(621\) | 21.3105 | 0.855160 | ||||||||
\(622\) | 0.355260 | + | 1.09338i | 0.0142446 | + | 0.0438405i | ||||
\(623\) | −2.11694 | + | 6.51528i | −0.0848136 | + | 0.261029i | ||||
\(624\) | −5.64868 | + | 4.10401i | −0.226128 | + | 0.164292i | ||||
\(625\) | −30.7617 | −1.23047 | ||||||||
\(626\) | −61.3816 | −2.45330 | ||||||||
\(627\) | −7.29904 | + | 5.30306i | −0.291496 | + | 0.211784i | ||||
\(628\) | −52.2443 | − | 37.9577i | −2.08477 | − | 1.51468i | ||||
\(629\) | 31.6477 | + | 22.9934i | 1.26188 | + | 0.916806i | ||||
\(630\) | 4.74071 | + | 14.5904i | 0.188874 | + | 0.581296i | ||||
\(631\) | 15.2468 | − | 11.0774i | 0.606965 | − | 0.440986i | −0.241379 | − | 0.970431i | \(-0.577600\pi\) |
0.848344 | + | 0.529445i | \(0.177600\pi\) | |||||||
\(632\) | −16.3821 | − | 50.4189i | −0.651644 | − | 2.00555i | ||||
\(633\) | 1.14203 | − | 3.51480i | 0.0453915 | − | 0.139701i | ||||
\(634\) | −11.8915 | − | 8.63965i | −0.472270 | − | 0.343124i | ||||
\(635\) | −8.99669 | + | 27.6890i | −0.357023 | + | 1.09880i | ||||
\(636\) | 1.01847 | − | 3.13452i | 0.0403848 | − | 0.124292i | ||||
\(637\) | 3.90317 | + | 2.83582i | 0.154649 | + | 0.112359i | ||||
\(638\) | −1.85215 | + | 5.70034i | −0.0733274 | + | 0.225679i | ||||
\(639\) | −3.50535 | − | 10.7883i | −0.138669 | − | 0.426780i | ||||
\(640\) | −37.9802 | + | 27.5942i | −1.50130 | + | 1.09076i | ||||
\(641\) | 4.07390 | + | 12.5382i | 0.160909 | + | 0.495228i | 0.998712 | − | 0.0507459i | \(-0.0161599\pi\) |
−0.837802 | + | 0.545974i | \(0.816160\pi\) | |||||||
\(642\) | −31.8317 | − | 23.1271i | −1.25630 | − | 0.912752i | ||||
\(643\) | −11.0764 | − | 8.04747i | −0.436810 | − | 0.317361i | 0.347556 | − | 0.937659i | \(-0.387012\pi\) |
−0.784366 | + | 0.620298i | \(0.787012\pi\) | |||||||
\(644\) | 19.5458 | − | 14.2009i | 0.770214 | − | 0.559593i | ||||
\(645\) | −28.5517 | −1.12422 | ||||||||
\(646\) | 26.3647 | 1.03730 | ||||||||
\(647\) | 3.20578 | − | 2.32914i | 0.126032 | − | 0.0915678i | −0.522983 | − | 0.852343i | \(-0.675181\pi\) |
0.649016 | + | 0.760775i | \(0.275181\pi\) | |||||||
\(648\) | −4.42370 | + | 13.6148i | −0.173779 | + | 0.534838i | ||||
\(649\) | 7.63635 | + | 23.5023i | 0.299753 | + | 0.922544i | ||||
\(650\) | 8.00184 | 0.313858 | ||||||||
\(651\) | −4.54002 | + | 9.15271i | −0.177937 | + | 0.358723i | ||||
\(652\) | 29.4961 | 1.15516 | ||||||||
\(653\) | −2.61660 | − | 8.05306i | −0.102395 | − | 0.315141i | 0.886715 | − | 0.462317i | \(-0.152982\pi\) |
−0.989110 | + | 0.147176i | \(0.952982\pi\) | |||||||
\(654\) | −6.76623 | + | 20.8243i | −0.264581 | + | 0.814295i | ||||
\(655\) | 17.7645 | − | 12.9067i | 0.694116 | − | 0.504305i | ||||
\(656\) | 67.9444 | 2.65278 | ||||||||
\(657\) | −6.26119 | −0.244272 | ||||||||
\(658\) | 10.5731 | − | 7.68182i | 0.412183 | − | 0.299468i | ||||
\(659\) | 6.06052 | + | 4.40323i | 0.236084 | + | 0.171525i | 0.699537 | − | 0.714596i | \(-0.253390\pi\) |
−0.463453 | + | 0.886122i | \(0.653390\pi\) | |||||||
\(660\) | 65.0087 | + | 47.2316i | 2.53046 | + | 1.83849i | ||||
\(661\) | −11.1667 | − | 34.3676i | −0.434334 | − | 1.33674i | −0.893767 | − | 0.448531i | \(-0.851947\pi\) |
0.459433 | − | 0.888212i | \(-0.348053\pi\) | |||||||
\(662\) | 9.21750 | − | 6.69690i | 0.358248 | − | 0.260282i | ||||
\(663\) | 2.96026 | + | 9.11073i | 0.114967 | + | 0.353831i | ||||
\(664\) | −27.9920 | + | 86.1504i | −1.08630 | + | 3.34329i | ||||
\(665\) | 4.67670 | + | 3.39782i | 0.181355 | + | 0.131762i | ||||
\(666\) | 5.70295 | − | 17.5519i | 0.220985 | − | 0.680122i | ||||
\(667\) | 0.537680 | − | 1.65481i | 0.0208190 | − | 0.0640744i | ||||
\(668\) | −56.5494 | − | 41.0856i | −2.18796 | − | 1.58965i | ||||
\(669\) | 6.92113 | − | 21.3010i | 0.267586 | − | 0.823546i | ||||
\(670\) | −13.5599 | − | 41.7332i | −0.523866 | − | 1.61229i | ||||
\(671\) | −44.7724 | + | 32.5291i | −1.72842 | + | 1.25577i | ||||
\(672\) | 1.55586 | + | 4.78844i | 0.0600185 | + | 0.184718i | ||||
\(673\) | −17.4198 | − | 12.6562i | −0.671483 | − | 0.487861i | 0.199038 | − | 0.979992i | \(-0.436218\pi\) |
−0.870521 | + | 0.492131i | \(0.836218\pi\) | |||||||
\(674\) | −37.5350 | − | 27.2708i | −1.44579 | − | 1.05043i | ||||
\(675\) | 14.3343 | − | 10.4145i | 0.551728 | − | 0.400854i | ||||
\(676\) | 4.25762 | 0.163755 | ||||||||
\(677\) | −13.8227 | −0.531251 | −0.265625 | − | 0.964076i | \(-0.585578\pi\) | ||||
−0.265625 | + | 0.964076i | \(0.585578\pi\) | |||||||
\(678\) | −31.3735 | + | 22.7942i | −1.20489 | + | 0.875406i | ||||
\(679\) | 3.76208 | − | 11.5785i | 0.144376 | − | 0.444342i | ||||
\(680\) | −38.4764 | − | 118.418i | −1.47550 | − | 4.54113i | ||||
\(681\) | −8.00484 | −0.306746 | ||||||||
\(682\) | −12.3276 | − | 72.7522i | −0.472048 | − | 2.78582i | ||||
\(683\) | 44.6663 | 1.70911 | 0.854554 | − | 0.519363i | \(-0.173831\pi\) | ||||
0.854554 | + | 0.519363i | \(0.173831\pi\) | |||||||
\(684\) | −2.61515 | − | 8.04859i | −0.0999926 | − | 0.307746i | ||||
\(685\) | 13.1474 | − | 40.4635i | 0.502336 | − | 1.54603i | ||||
\(686\) | 35.2955 | − | 25.6437i | 1.34759 | − | 0.979080i | ||||
\(687\) | −7.85468 | −0.299675 | ||||||||
\(688\) | 44.9798 | 1.71484 | ||||||||
\(689\) | −0.503374 | + | 0.365722i | −0.0191770 | + | 0.0139329i | ||||
\(690\) | −27.7371 | − | 20.1522i | −1.05593 | − | 0.767180i | ||||
\(691\) | 39.2638 | + | 28.5268i | 1.49367 | + | 1.08521i | 0.972820 | + | 0.231562i | \(0.0743837\pi\) |
0.520847 | + | 0.853650i | \(0.325616\pi\) | |||||||
\(692\) | −7.91662 | − | 24.3649i | −0.300945 | − | 0.926213i | ||||
\(693\) | 9.18008 | − | 6.66972i | 0.348723 | − | 0.253362i | ||||
\(694\) | 17.4392 | + | 53.6722i | 0.661982 | + | 2.03737i | ||||
\(695\) | 1.30379 | − | 4.01265i | 0.0494555 | − | 0.152208i | ||||
\(696\) | 2.57075 | + | 1.86776i | 0.0974441 | + | 0.0707973i | ||||
\(697\) | 28.8067 | − | 88.6578i | 1.09113 | − | 3.35815i | ||||
\(698\) | −14.1101 | + | 43.4263i | −0.534074 | + | 1.64371i | ||||
\(699\) | 13.3334 | + | 9.68731i | 0.504317 | + | 0.366408i | ||||
\(700\) | 6.20734 | − | 19.1042i | 0.234615 | − | 0.722072i | ||||
\(701\) | 13.7302 | + | 42.2574i | 0.518584 | + | 1.59604i | 0.776664 | + | 0.629915i | \(0.216910\pi\) |
−0.258080 | + | 0.966124i | \(0.583090\pi\) | |||||||
\(702\) | 11.2098 | − | 8.14437i | 0.423085 | − | 0.307390i | ||||
\(703\) | −2.14892 | − | 6.61370i | −0.0810481 | − | 0.249440i | ||||
\(704\) | 18.6897 | + | 13.5789i | 0.704395 | + | 0.511773i | ||||
\(705\) | −10.2086 | − | 7.41699i | −0.384479 | − | 0.279340i | ||||
\(706\) | 24.6615 | − | 17.9176i | 0.928147 | − | 0.674338i | ||||
\(707\) | 2.47204 | 0.0929705 | ||||||||
\(708\) | 24.7074 | 0.928562 | ||||||||
\(709\) | 7.24457 | − | 5.26349i | 0.272075 | − | 0.197674i | −0.443378 | − | 0.896335i | \(-0.646220\pi\) |
0.715454 | + | 0.698660i | \(0.246220\pi\) | |||||||
\(710\) | −17.2902 | + | 53.2137i | −0.648889 | + | 1.99707i | ||||
\(711\) | 4.21235 | + | 12.9643i | 0.157975 | + | 0.486198i | ||||
\(712\) | −26.2308 | −0.983041 | ||||||||
\(713\) | 3.57870 | + | 21.1200i | 0.134023 | + | 0.790948i | ||||
\(714\) | 35.3445 | 1.32274 | ||||||||
\(715\) | −4.68775 | − | 14.4274i | −0.175312 | − | 0.539555i | ||||
\(716\) | 7.56910 | − | 23.2953i | 0.282871 | − | 0.870586i | ||||
\(717\) | 16.5876 | − | 12.0516i | 0.619476 | − | 0.450075i | ||||
\(718\) | 12.0589 | 0.450035 | ||||||||
\(719\) | −25.6471 | −0.956476 | −0.478238 | − | 0.878230i | \(-0.658724\pi\) | ||||
−0.478238 | + | 0.878230i | \(0.658724\pi\) | |||||||
\(720\) | −18.8785 | + | 13.7160i | −0.703561 | + | 0.511167i | ||||
\(721\) | 16.6941 | + | 12.1290i | 0.621723 | + | 0.451708i | ||||
\(722\) | 34.6600 | + | 25.1820i | 1.28991 | + | 0.937176i | ||||
\(723\) | 6.59414 | + | 20.2947i | 0.245239 | + | 0.754767i | ||||
\(724\) | 19.8006 | − | 14.3860i | 0.735884 | − | 0.534651i | ||||
\(725\) | −0.447044 | − | 1.37586i | −0.0166028 | − | 0.0510981i | ||||
\(726\) | 16.4150 | − | 50.5201i | 0.609216 | − | 1.87498i | ||||
\(727\) | 30.8456 | + | 22.4107i | 1.14400 | + | 0.831166i | 0.987672 | − | 0.156539i | \(-0.0500337\pi\) |
0.156330 | + | 0.987705i | \(0.450034\pi\) | |||||||
\(728\) | 2.57400 | − | 7.92196i | 0.0953988 | − | 0.293607i | ||||
\(729\) | 7.52603 | − | 23.1627i | 0.278742 | − | 0.857879i | ||||
\(730\) | 24.9852 | + | 18.1528i | 0.924745 | + | 0.671866i | ||||
\(731\) | 19.0703 | − | 58.6923i | 0.705340 | − | 2.17081i | ||||
\(732\) | 17.0986 | + | 52.6240i | 0.631981 | + | 1.94504i | ||||
\(733\) | −25.2210 | + | 18.3241i | −0.931559 | + | 0.676817i | −0.946374 | − | 0.323073i | \(-0.895284\pi\) |
0.0148148 | + | 0.999890i | \(0.495284\pi\) | |||||||
\(734\) | 17.4148 | + | 53.5972i | 0.642791 | + | 1.97831i | ||||
\(735\) | −13.9046 | − | 10.1023i | −0.512878 | − | 0.372627i | ||||
\(736\) | 8.54021 | + | 6.20483i | 0.314796 | + | 0.228713i | ||||
\(737\) | −26.2579 | + | 19.0775i | −0.967224 | + | 0.702729i | ||||
\(738\) | −43.9789 | −1.61888 | ||||||||
\(739\) | −7.83970 | −0.288388 | −0.144194 | − | 0.989549i | \(-0.546059\pi\) | ||||
−0.144194 | + | 0.989549i | \(0.546059\pi\) | |||||||
\(740\) | −50.1074 | + | 36.4051i | −1.84198 | + | 1.33828i | ||||
\(741\) | 0.526239 | − | 1.61960i | 0.0193319 | − | 0.0594974i | ||||
\(742\) | 0.709399 | + | 2.18331i | 0.0260429 | + | 0.0801517i | ||||
\(743\) | −23.1813 | −0.850439 | −0.425219 | − | 0.905090i | \(-0.639803\pi\) | ||||
−0.425219 | + | 0.905090i | \(0.639803\pi\) | |||||||
\(744\) | −38.7023 | − | 5.70317i | −1.41889 | − | 0.209088i | ||||
\(745\) | 18.7333 | 0.686333 | ||||||||
\(746\) | 15.4024 | + | 47.4036i | 0.563920 | + | 1.73557i | ||||
\(747\) | 7.19762 | − | 22.1520i | 0.263347 | − | 0.810499i | ||||
\(748\) | −140.512 | + | 102.088i | −5.13763 | + | 3.73271i | ||||
\(749\) | 18.6467 | 0.681337 | ||||||||
\(750\) | 16.0513 | 0.586109 | ||||||||
\(751\) | 13.8571 | − | 10.0677i | 0.505651 | − | 0.367377i | −0.305520 | − | 0.952186i | \(-0.598830\pi\) |
0.811171 | + | 0.584808i | \(0.198830\pi\) | |||||||
\(752\) | 16.0824 | + | 11.6846i | 0.586466 | + | 0.426093i | ||||
\(753\) | 20.2995 | + | 14.7484i | 0.739755 | + | 0.537463i | ||||
\(754\) | −0.349598 | − | 1.07595i | −0.0127316 | − | 0.0391839i | ||||
\(755\) | 7.59607 | − | 5.51887i | 0.276449 | − | 0.200852i | ||||
\(756\) | −10.7487 | − | 33.0810i | −0.390925 | − | 1.20314i | ||||
\(757\) | −11.0045 | + | 33.8682i | −0.399964 | + | 1.23096i | 0.525064 | + | 0.851063i | \(0.324041\pi\) |
−0.925028 | + | 0.379899i | \(0.875959\pi\) | |||||||
\(758\) | −48.6239 | − | 35.3273i | −1.76610 | − | 1.28315i | ||||
\(759\) | −7.83635 | + | 24.1178i | −0.284441 | + | 0.875420i | ||||
\(760\) | −6.83988 | + | 21.0510i | −0.248109 | + | 0.763600i | ||||
\(761\) | 13.8041 | + | 10.0292i | 0.500397 | + | 0.363559i | 0.809168 | − | 0.587577i | \(-0.199918\pi\) |
−0.308772 | + | 0.951136i | \(0.599918\pi\) | |||||||
\(762\) | 9.77862 | − | 30.0955i | 0.354242 | − | 1.09024i | ||||
\(763\) | −3.20663 | − | 9.86898i | −0.116088 | − | 0.357281i | ||||
\(764\) | 19.9197 | − | 14.4725i | 0.720669 | − | 0.523597i | ||||
\(765\) | 9.89350 | + | 30.4491i | 0.357700 | + | 1.10089i | ||||
\(766\) | 73.9646 | + | 53.7384i | 2.67245 | + | 1.94165i | ||||
\(767\) | −3.77358 | − | 2.74167i | −0.136256 | − | 0.0989958i | ||||
\(768\) | 32.5033 | − | 23.6150i | 1.17286 | − | 0.852134i | ||||
\(769\) | −53.6950 | −1.93629 | −0.968145 | − | 0.250390i | \(-0.919441\pi\) | ||||
−0.968145 | + | 0.250390i | \(0.919441\pi\) | |||||||
\(770\) | −55.9703 | −2.01703 | ||||||||
\(771\) | 23.5712 | − | 17.1255i | 0.848896 | − | 0.616759i | ||||
\(772\) | 10.0348 | − | 30.8841i | 0.361162 | − | 1.11154i | ||||
\(773\) | −3.74309 | − | 11.5201i | −0.134630 | − | 0.414348i | 0.860902 | − | 0.508770i | \(-0.169900\pi\) |
−0.995532 | + | 0.0944222i | \(0.969900\pi\) | |||||||
\(774\) | −29.1144 | −1.04650 | ||||||||
\(775\) | 12.7286 | + | 12.4572i | 0.457224 | + | 0.447477i | ||||
\(776\) | 46.6155 | 1.67340 | ||||||||
\(777\) | −2.88085 | − | 8.86634i | −0.103350 | − | 0.318078i | ||||
\(778\) | 17.0506 | − | 52.4764i | 0.611294 | − | 1.88137i | ||||
\(779\) | −13.4067 | + | 9.74055i | −0.480345 | + | 0.348991i | ||||
\(780\) | −15.1672 | −0.543074 | ||||||||
\(781\) | 41.3852 | 1.48088 | ||||||||
\(782\) | 59.9519 | − | 43.5576i | 2.14388 | − | 1.55762i | ||||
\(783\) | −2.02663 | − | 1.47243i | −0.0724258 | − | 0.0526204i | ||||
\(784\) | 21.9050 | + | 15.9149i | 0.782320 | + | 0.568389i | ||||
\(785\) | −13.4206 | − | 41.3043i | −0.479001 | − | 1.47421i | ||||
\(786\) | −19.3085 | + | 14.0284i | −0.688710 | + | 0.500377i | ||||
\(787\) | 3.37986 | + | 10.4021i | 0.120479 | + | 0.370796i | 0.993050 | − | 0.117690i | \(-0.0375490\pi\) |
−0.872571 | + | 0.488487i | \(0.837549\pi\) | |||||||
\(788\) | −30.8597 | + | 94.9762i | −1.09933 | + | 3.38339i | ||||
\(789\) | 13.1414 | + | 9.54775i | 0.467845 | + | 0.339909i | ||||
\(790\) | 20.7775 | − | 63.9465i | 0.739230 | − | 2.27512i | ||||
\(791\) | 5.67923 | − | 17.4789i | 0.201930 | − | 0.621477i | ||||
\(792\) | 35.1505 | + | 25.5383i | 1.24902 | + | 0.907465i | ||||
\(793\) | 3.22796 | − | 9.93463i | 0.114628 | − | 0.352789i | ||||
\(794\) | −27.7918 | − | 85.5345i | −0.986295 | − | 3.03551i | ||||
\(795\) | 1.79321 | − | 1.30284i | 0.0635984 | − | 0.0462070i | ||||
\(796\) | 34.5665 | + | 106.385i | 1.22518 | + | 3.77071i | ||||
\(797\) | −18.4024 | − | 13.3701i | −0.651846 | − | 0.473594i | 0.212053 | − | 0.977258i | \(-0.431985\pi\) |
−0.863900 | + | 0.503664i | \(0.831985\pi\) | |||||||
\(798\) | −5.08316 | − | 3.69313i | −0.179942 | − | 0.130735i | ||||
\(799\) | 22.0653 | − | 16.0314i | 0.780613 | − | 0.567149i | ||||
\(800\) | 8.77682 | 0.310307 | ||||||||
\(801\) | 6.74477 | 0.238315 | ||||||||
\(802\) | −16.2295 | + | 11.7914i | −0.573084 | + | 0.416370i | ||||
\(803\) | 7.05888 | − | 21.7250i | 0.249103 | − | 0.766659i | ||||
\(804\) | 10.0279 | + | 30.8627i | 0.353656 | + | 1.08844i | ||||
\(805\) | 16.2482 | 0.572673 | ||||||||
\(806\) | 9.95403 | + | 9.74185i | 0.350616 | + | 0.343142i | ||||
\(807\) | −12.0802 | −0.425245 | ||||||||
\(808\) | 2.92497 | + | 9.00215i | 0.102900 | + | 0.316694i | ||||
\(809\) | −1.84410 | + | 5.67555i | −0.0648350 | + | 0.199542i | −0.978226 | − | 0.207541i | \(-0.933454\pi\) |
0.913391 | + | 0.407083i | \(0.133454\pi\) | |||||||
\(810\) | −14.6888 | + | 10.6720i | −0.516110 | + | 0.374976i | ||||
\(811\) | −8.49368 | −0.298253 | −0.149127 | − | 0.988818i | \(-0.547646\pi\) | ||||
−0.149127 | + | 0.988818i | \(0.547646\pi\) | |||||||
\(812\) | −2.84001 | −0.0996649 | ||||||||
\(813\) | 20.7766 | − | 15.0951i | 0.728667 | − | 0.529408i | ||||
\(814\) | 54.4718 | + | 39.5761i | 1.90924 | + | 1.38714i | ||||
\(815\) | 16.0483 | + | 11.6598i | 0.562149 | + | 0.408425i | ||||
\(816\) | 16.6132 | + | 51.1302i | 0.581579 | + | 1.78992i | ||||
\(817\) | −8.87537 | + | 6.44833i | −0.310510 | + | 0.225599i | ||||
\(818\) | −26.5217 | − | 81.6254i | −0.927309 | − | 2.85396i | ||||
\(819\) | −0.661857 | + | 2.03699i | −0.0231271 | + | 0.0711780i | ||||
\(820\) | 119.407 | + | 86.7539i | 4.16986 | + | 3.02958i | ||||
\(821\) | −5.34110 | + | 16.4382i | −0.186406 | + | 0.573697i | −0.999970 | − | 0.00777772i | \(-0.997524\pi\) |
0.813564 | + | 0.581475i | \(0.197524\pi\) | |||||||
\(822\) | −14.2901 | + | 43.9803i | −0.498424 | + | 1.53399i | ||||
\(823\) | −11.7437 | − | 8.53227i | −0.409358 | − | 0.297416i | 0.363984 | − | 0.931405i | \(-0.381416\pi\) |
−0.773342 | + | 0.633989i | \(0.781416\pi\) | |||||||
\(824\) | −24.4159 | + | 75.1446i | −0.850570 | + | 2.61778i | ||||
\(825\) | 6.51538 | + | 20.0523i | 0.226836 | + | 0.698131i | ||||
\(826\) | −13.9229 | + | 10.1156i | −0.484439 | + | 0.351965i | ||||
\(827\) | −13.9575 | − | 42.9567i | −0.485349 | − | 1.49375i | −0.831475 | − | 0.555561i | \(-0.812503\pi\) |
0.346127 | − | 0.938188i | \(-0.387497\pi\) | |||||||
\(828\) | −19.2440 | − | 13.9816i | −0.668774 | − | 0.485893i | ||||
\(829\) | 22.8790 | + | 16.6225i | 0.794619 | + | 0.577325i | 0.909331 | − | 0.416074i | \(-0.136594\pi\) |
−0.114711 | + | 0.993399i | \(0.536594\pi\) | |||||||
\(830\) | −92.9464 | + | 67.5295i | −3.22622 | + | 2.34398i | ||||
\(831\) | −18.6361 | −0.646479 | ||||||||
\(832\) | −4.36051 | −0.151174 | ||||||||
\(833\) | 30.0538 | − | 21.8354i | 1.04130 | − | 0.756551i | ||||
\(834\) | −1.41710 | + | 4.36140i | −0.0490703 | + | 0.151023i | ||||
\(835\) | −14.5265 | − | 44.7079i | −0.502710 | − | 1.54718i | ||||
\(836\) | 30.8752 | 1.06784 | ||||||||
\(837\) | 30.5106 | + | 4.49604i | 1.05460 | + | 0.155406i | ||||
\(838\) | −53.3635 | −1.84341 | ||||||||
\(839\) | −11.2011 | − | 34.4734i | −0.386705 | − | 1.19015i | −0.935236 | − | 0.354024i | \(-0.884813\pi\) |
0.548532 | − | 0.836130i | \(-0.315187\pi\) | |||||||
\(840\) | −9.16956 | + | 28.2210i | −0.316380 | + | 0.973717i | ||||
\(841\) | 23.2960 | − | 16.9256i | 0.803311 | − | 0.583640i | ||||
\(842\) | 95.4185 | 3.28834 | ||||||||
\(843\) | 25.8313 | 0.889677 | ||||||||
\(844\) | −10.2318 | + | 7.43387i | −0.352194 | + | 0.255884i | ||||
\(845\) | 2.31650 | + | 1.68304i | 0.0796900 | + | 0.0578982i | ||||
\(846\) | −10.4098 | − | 7.56317i | −0.357897 | − | 0.260027i | ||||
\(847\) | 7.77932 | + | 23.9423i | 0.267300 | + | 0.822666i | ||||
\(848\) | −2.82498 | + | 2.05247i | −0.0970102 | + | 0.0704820i | ||||
\(849\) | −2.36324 | − | 7.27332i | −0.0811063 | − | 0.249620i | ||||
\(850\) | 19.0394 | − | 58.5974i | 0.653048 | − | 2.00987i | ||||
\(851\) | −15.8132 | − | 11.4889i | −0.542068 | − | 0.393836i | ||||
\(852\) | 12.7865 | − | 39.3528i | 0.438058 | − | 1.34821i | ||||
\(853\) | 3.03229 | − | 9.33243i | 0.103824 | − | 0.319536i | −0.885629 | − | 0.464394i | \(-0.846272\pi\) |
0.989453 | + | 0.144857i | \(0.0462723\pi\) | |||||||
\(854\) | −31.1802 | − | 22.6537i | −1.06696 | − | 0.775195i | ||||
\(855\) | 1.75875 | − | 5.41287i | 0.0601479 | − | 0.185116i | ||||
\(856\) | 22.0633 | + | 67.9038i | 0.754107 | + | 2.32090i | ||||
\(857\) | 23.8134 | − | 17.3015i | 0.813452 | − | 0.591007i | −0.101377 | − | 0.994848i | \(-0.532325\pi\) |
0.914829 | + | 0.403841i | \(0.132325\pi\) | |||||||
\(858\) | 5.09518 | + | 15.6813i | 0.173946 | + | 0.535352i | ||||
\(859\) | −15.9147 | − | 11.5627i | −0.543004 | − | 0.394515i | 0.282196 | − | 0.959357i | \(-0.408937\pi\) |
−0.825199 | + | 0.564842i | \(0.808937\pi\) | |||||||
\(860\) | 79.0482 | + | 57.4319i | 2.69552 | + | 1.95841i | ||||
\(861\) | −17.9731 | + | 13.0582i | −0.612520 | + | 0.445022i | ||||
\(862\) | −74.3725 | −2.53314 | ||||||||
\(863\) | 19.1170 | 0.650749 | 0.325375 | − | 0.945585i | \(-0.394510\pi\) | ||||
0.325375 | + | 0.945585i | \(0.394510\pi\) | |||||||
\(864\) | 12.2954 | − | 8.93315i | 0.418299 | − | 0.303912i | ||||
\(865\) | 5.32412 | − | 16.3860i | 0.181026 | − | 0.557139i | ||||
\(866\) | 5.65301 | + | 17.3982i | 0.192097 | + | 0.591214i | ||||
\(867\) | 52.6112 | 1.78677 | ||||||||
\(868\) | 30.9802 | − | 16.2079i | 1.05154 | − | 0.550132i | ||||
\(869\) | −49.7323 | −1.68705 | ||||||||
\(870\) | 1.24540 | + | 3.83295i | 0.0422230 | + | 0.129949i | ||||
\(871\) | 1.89312 | − | 5.82642i | 0.0641459 | − | 0.197421i | ||||
\(872\) | 32.1446 | − | 23.3544i | 1.08855 | − | 0.790881i | ||||
\(873\) | −11.9863 | −0.405676 | ||||||||
\(874\) | −13.1735 | −0.445599 | ||||||||
\(875\) | −6.15416 | + | 4.47126i | −0.208048 | + | 0.151156i | ||||
\(876\) | −18.4772 | − | 13.4245i | −0.624286 | − | 0.453570i | ||||
\(877\) | −32.1681 | − | 23.3715i | −1.08624 | − | 0.789199i | −0.107478 | − | 0.994207i | \(-0.534278\pi\) |
−0.978760 | + | 0.205009i | \(0.934278\pi\) | |||||||
\(878\) | 8.70692 | + | 26.7971i | 0.293844 | + | 0.904359i | ||||
\(879\) | 11.0311 | − | 8.01453i | 0.372068 | − | 0.270323i | ||||
\(880\) | −26.3081 | − | 80.9680i | −0.886845 | − | 2.72943i | ||||
\(881\) | −13.4806 | + | 41.4892i | −0.454174 | + | 1.39781i | 0.417927 | + | 0.908480i | \(0.362757\pi\) |
−0.872102 | + | 0.489325i | \(0.837243\pi\) | |||||||
\(882\) | −14.1786 | − | 10.3013i | −0.477418 | − | 0.346864i | ||||
\(883\) | −15.9268 | + | 49.0177i | −0.535980 | + | 1.64958i | 0.205542 | + | 0.978648i | \(0.434104\pi\) |
−0.741522 | + | 0.670929i | \(0.765896\pi\) | |||||||
\(884\) | 10.1305 | − | 31.1785i | 0.340726 | − | 1.04865i | ||||
\(885\) | 13.4429 | + | 9.76684i | 0.451878 | + | 0.328309i | ||||
\(886\) | 9.75871 | − | 30.0342i | 0.327850 | − | 1.00902i | ||||
\(887\) | −11.7819 | − | 36.2608i | −0.395596 | − | 1.21752i | −0.928497 | − | 0.371341i | \(-0.878898\pi\) |
0.532901 | − | 0.846178i | \(-0.321102\pi\) | |||||||
\(888\) | 28.8789 | − | 20.9817i | 0.969111 | − | 0.704101i | ||||
\(889\) | 4.63424 | + | 14.2627i | 0.155428 | + | 0.478357i | ||||
\(890\) | −26.9149 | − | 19.5548i | −0.902190 | − | 0.655480i | ||||
\(891\) | 10.8646 | + | 7.89358i | 0.363977 | + | 0.264445i | ||||
\(892\) | −62.0089 | + | 45.0521i | −2.07621 | + | 1.50846i | ||||
\(893\) | −4.84848 | −0.162248 | ||||||||
\(894\) | −20.3614 | −0.680987 | ||||||||
\(895\) | 13.3268 | − | 9.68252i | 0.445467 | − | 0.323651i | ||||
\(896\) | −7.47271 | + | 22.9986i | −0.249646 | + | 0.768331i | ||||
\(897\) | −1.47913 | − | 4.55229i | −0.0493867 | − | 0.151997i | ||||
\(898\) | −6.44357 | −0.215025 | ||||||||
\(899\) | 1.11893 | − | 2.25578i | 0.0373185 | − | 0.0752344i | ||||
\(900\) | −19.7771 | −0.659237 | ||||||||
\(901\) | 1.48046 | + | 4.55639i | 0.0493213 | + | 0.151795i | ||||
\(902\) | 49.5819 | − | 152.597i | 1.65090 | − | 5.08094i | ||||
\(903\) | −11.8983 | + | 8.64464i | −0.395952 | + | 0.287676i | ||||
\(904\) | 70.3707 | 2.34049 | ||||||||
\(905\) | 16.4600 | 0.547148 | ||||||||
\(906\) | −8.25627 | + | 5.99853i | −0.274296 | + | 0.199288i | ||||
\(907\) | 2.85751 | + | 2.07610i | 0.0948820 | + | 0.0689358i | 0.634215 | − | 0.773157i | \(-0.281324\pi\) |
−0.539333 | + | 0.842093i | \(0.681324\pi\) | |||||||
\(908\) | 22.1622 | + | 16.1018i | 0.735478 | + | 0.534356i | ||||
\(909\) | −0.752103 | − | 2.31473i | −0.0249457 | − | 0.0767749i | ||||
\(910\) | 8.54689 | − | 6.20968i | 0.283327 | − | 0.205849i | ||||
\(911\) | 9.13309 | + | 28.1087i | 0.302593 | + | 0.931284i | 0.980565 | + | 0.196197i | \(0.0628591\pi\) |
−0.677972 | + | 0.735088i | \(0.737141\pi\) | |||||||
\(912\) | 2.95330 | − | 9.08933i | 0.0977936 | − | 0.300978i | ||||
\(913\) | 68.7481 | + | 49.9484i | 2.27523 | + | 1.65305i | ||||
\(914\) | −15.0115 | + | 46.2008i | −0.496538 | + | 1.52819i | ||||
\(915\) | −11.4992 | + | 35.3909i | −0.380152 | + | 1.16999i | ||||
\(916\) | 21.7464 | + | 15.7997i | 0.718523 | + | 0.522037i | ||||
\(917\) | 3.49521 | − | 10.7572i | 0.115422 | − | 0.355233i | ||||
\(918\) | −32.9688 | − | 101.468i | −1.08813 | − | 3.34893i | ||||
\(919\) | 13.2275 | − | 9.61033i | 0.436335 | − | 0.317016i | −0.347842 | − | 0.937553i | \(-0.613085\pi\) |
0.784177 | + | 0.620537i | \(0.213085\pi\) | |||||||
\(920\) | 19.2252 | + | 59.1692i | 0.633837 | + | 1.95075i | ||||
\(921\) | −21.1497 | − | 15.3662i | −0.696907 | − | 0.506333i | ||||
\(922\) | −43.8834 | − | 31.8831i | −1.44522 | − | 1.05002i | ||||
\(923\) | −6.31968 | + | 4.59152i | −0.208015 | + | 0.151132i | ||||
\(924\) | 41.3914 | 1.36168 | ||||||||
\(925\) | −16.2513 | −0.534339 | ||||||||
\(926\) | −12.0517 | + | 8.75606i | −0.396043 | + | 0.287742i | ||||
\(927\) | 6.27811 | − | 19.3220i | 0.206200 | − | 0.634619i | ||||
\(928\) | −0.383457 | − | 1.18016i | −0.0125876 | − | 0.0387406i | ||||
\(929\) | 17.1584 | 0.562950 | 0.281475 | − | 0.959569i | \(-0.409176\pi\) | ||||
0.281475 | + | 0.959569i | \(0.409176\pi\) | |||||||
\(930\) | −35.4600 | − | 34.7041i | −1.16278 | − | 1.13799i | ||||
\(931\) | −6.60383 | −0.216432 | ||||||||
\(932\) | −17.4289 | − | 53.6405i | −0.570902 | − | 1.75705i | ||||
\(933\) | 0.176688 | − | 0.543789i | 0.00578450 | − | 0.0178029i | ||||
\(934\) | 53.8337 | − | 39.1125i | 1.76149 | − | 1.27980i | ||||
\(935\) | −116.806 | −3.81996 | ||||||||
\(936\) | −8.20099 | −0.268058 | ||||||||
\(937\) | −18.4492 | + | 13.4042i | −0.602711 | + | 0.437895i | −0.846840 | − | 0.531848i | \(-0.821498\pi\) |
0.244129 | + | 0.969743i | \(0.421498\pi\) | |||||||
\(938\) | −18.2864 | − | 13.2859i | −0.597073 | − | 0.433799i | ||||
\(939\) | 24.6977 | + | 17.9439i | 0.805978 | + | 0.585577i | ||||
\(940\) | 13.3442 | + | 41.0693i | 0.435241 | + | 1.33953i | ||||
\(941\) | 18.7803 | − | 13.6447i | 0.612219 | − | 0.444803i | −0.237976 | − | 0.971271i | \(-0.576484\pi\) |
0.850195 | + | 0.526468i | \(0.176484\pi\) | |||||||
\(942\) | 14.5870 | + | 44.8942i | 0.475270 | + | 1.46273i | ||||
\(943\) | −14.3936 | + | 44.2990i | −0.468721 | + | 1.44257i | ||||
\(944\) | −21.1777 | − | 15.3865i | −0.689274 | − | 0.500787i | ||||
\(945\) | 7.22874 | − | 22.2478i | 0.235151 | − | 0.723720i | ||||
\(946\) | 32.8237 | − | 101.021i | 1.06719 | − | 3.28447i | ||||
\(947\) | 24.7252 | + | 17.9639i | 0.803460 | + | 0.583748i | 0.911927 | − | 0.410352i | \(-0.134594\pi\) |
−0.108467 | + | 0.994100i | \(0.534594\pi\) | |||||||
\(948\) | −15.3654 | + | 47.2900i | −0.499047 | + | 1.53591i | ||||
\(949\) | 1.33238 | + | 4.10065i | 0.0432509 | + | 0.133113i | ||||
\(950\) | −8.86102 | + | 6.43790i | −0.287489 | + | 0.208873i | ||||
\(951\) | 2.25902 | + | 6.95255i | 0.0732537 | + | 0.225452i | ||||
\(952\) | −51.8879 | − | 37.6988i | −1.68170 | − | 1.22182i | ||||
\(953\) | 35.2719 | + | 25.6265i | 1.14257 | + | 0.830124i | 0.987475 | − | 0.157776i | \(-0.0504324\pi\) |
0.155092 | + | 0.987900i | \(0.450432\pi\) | |||||||
\(954\) | 1.82855 | − | 1.32852i | 0.0592014 | − | 0.0430123i | ||||
\(955\) | 16.5589 | 0.535835 | ||||||||
\(956\) | −70.1663 | −2.26934 | ||||||||
\(957\) | 2.41164 | − | 1.75216i | 0.0779572 | − | 0.0566392i | ||||
\(958\) | 6.15033 | − | 18.9288i | 0.198708 | − | 0.611561i | ||||
\(959\) | −6.77230 | − | 20.8430i | −0.218689 | − | 0.673055i | ||||
\(960\) | 15.5338 | 0.501350 | ||||||||
\(961\) | 0.667834 | + | 30.9928i | 0.0215430 | + | 0.999768i | ||||
\(962\) | −12.7089 | −0.409750 | ||||||||
\(963\) | −5.67316 | − | 17.4602i | −0.182815 | − | 0.562647i | ||||
\(964\) | 22.5663 | − | 69.4519i | 0.726812 | − | 2.23690i | ||||
\(965\) | 17.6683 | − | 12.8367i | 0.568762 | − | 0.413229i | ||||
\(966\) | −17.6604 | −0.568212 | ||||||||
\(967\) | 16.6615 | 0.535797 | 0.267899 | − | 0.963447i | \(-0.413671\pi\) | ||||
0.267899 | + | 0.963447i | \(0.413671\pi\) | |||||||
\(968\) | −77.9832 | + | 56.6581i | −2.50648 | + | 1.82106i | ||||
\(969\) | −10.6082 | − | 7.70728i | −0.340783 | − | 0.247594i | ||||
\(970\) | 47.8313 | + | 34.7515i | 1.53577 | + | 1.11580i | ||||
\(971\) | −18.7704 | − | 57.7694i | −0.602371 | − | 1.85391i | −0.513942 | − | 0.857825i | \(-0.671816\pi\) |
−0.0884285 | − | 0.996083i | \(-0.528184\pi\) | |||||||
\(972\) | −46.3747 | + | 33.6932i | −1.48747 | + | 1.08071i | ||||
\(973\) | −0.671588 | − | 2.06694i | −0.0215301 | − | 0.0662629i | ||||
\(974\) | 0.781971 | − | 2.40666i | 0.0250560 | − | 0.0771144i | ||||
\(975\) | −3.21964 | − | 2.33921i | −0.103111 | − | 0.0749146i | ||||
\(976\) | 18.1156 | − | 55.7541i | 0.579866 | − | 1.78464i | ||||
\(977\) | −1.55089 | + | 4.77314i | −0.0496173 | + | 0.152706i | −0.972795 | − | 0.231666i | \(-0.925582\pi\) |
0.923178 | + | 0.384373i | \(0.125582\pi\) | |||||||
\(978\) | −17.4431 | − | 12.6732i | −0.557770 | − | 0.405244i | ||||
\(979\) | −7.60407 | + | 23.4029i | −0.243027 | + | 0.747960i | ||||
\(980\) | 18.1754 | + | 55.9382i | 0.580592 | + | 1.78688i | ||||
\(981\) | −8.26539 | + | 6.00516i | −0.263894 | + | 0.191730i | ||||
\(982\) | 5.57177 | + | 17.1481i | 0.177802 | + | 0.547219i | ||||
\(983\) | 23.3561 | + | 16.9692i | 0.744943 | + | 0.541233i | 0.894255 | − | 0.447557i | \(-0.147706\pi\) |
−0.149312 | + | 0.988790i | \(0.547706\pi\) | |||||||
\(984\) | −68.8187 | − | 49.9997i | −2.19386 | − | 1.59393i | ||||
\(985\) | −54.3343 | + | 39.4762i | −1.73124 | + | 1.25782i | ||||
\(986\) | −8.71102 | −0.277415 | ||||||||
\(987\) | −6.49988 | −0.206893 | ||||||||
\(988\) | −4.71477 | + | 3.42548i | −0.149997 | + | 0.108979i | ||||
\(989\) | −9.52871 | + | 29.3264i | −0.302995 | + | 0.932524i | ||||
\(990\) | 17.0286 | + | 52.4088i | 0.541206 | + | 1.66566i | ||||
\(991\) | 6.65162 | 0.211296 | 0.105648 | − | 0.994404i | \(-0.466308\pi\) | ||||
0.105648 | + | 0.994404i | \(0.466308\pi\) | |||||||
\(992\) | 10.9181 | + | 10.6853i | 0.346649 | + | 0.339260i | ||||
\(993\) | −5.66651 | −0.179821 | ||||||||
\(994\) | 8.90627 | + | 27.4107i | 0.282490 | + | 0.869414i | ||||
\(995\) | −23.2468 | + | 71.5463i | −0.736973 | + | 2.26817i | ||||
\(996\) | 68.7361 | − | 49.9397i | 2.17799 | − | 1.58240i | ||||
\(997\) | 31.1864 | 0.987684 | 0.493842 | − | 0.869552i | \(-0.335592\pi\) | ||||
0.493842 | + | 0.869552i | \(0.335592\pi\) | |||||||
\(998\) | −39.8888 | −1.26266 | ||||||||
\(999\) | −22.7664 | + | 16.5408i | −0.720297 | + | 0.523326i |
(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 | 403.2.k.e.66.16 | ✓ | 68 | |
31.8 | even | 5 | inner | 403.2.k.e.287.16 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.k.e.66.16 | ✓ | 68 | 1.1 | even | 1 | trivial | |
403.2.k.e.287.16 | yes | 68 | 31.8 | even | 5 | inner |