Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 19.6 | ||
Character | \(\chi\) | \(=\) | 429.19 |
Dual form | 429.2.bs.b.271.6 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.560625 | + | 0.692314i | −0.396422 | + | 0.489540i | −0.935804 | − | 0.352521i | \(-0.885325\pi\) |
0.539382 | + | 0.842061i | \(0.318658\pi\) | |||||||
\(3\) | −0.978148 | − | 0.207912i | −0.564734 | − | 0.120038i | ||||
\(4\) | 0.250825 | + | 1.18004i | 0.125412 | + | 0.590019i | ||||
\(5\) | 1.71423 | − | 0.271507i | 0.766626 | − | 0.121422i | 0.239140 | − | 0.970985i | \(-0.423135\pi\) |
0.527486 | + | 0.849563i | \(0.323135\pi\) | |||||||
\(6\) | 0.692314 | − | 0.560625i | 0.282636 | − | 0.228874i | ||||
\(7\) | 0.284275 | − | 0.437746i | 0.107446 | − | 0.165452i | −0.780858 | − | 0.624709i | \(-0.785218\pi\) |
0.888304 | + | 0.459257i | \(0.151884\pi\) | |||||||
\(8\) | −2.54507 | − | 1.29678i | −0.899817 | − | 0.458480i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | −0.773071 | + | 1.33900i | −0.244467 | + | 0.423429i | ||||
\(11\) | 3.30735 | + | 0.247903i | 0.997203 | + | 0.0747456i | ||||
\(12\) | − | 1.20640i | − | 0.348258i | ||||||
\(13\) | 2.44809 | + | 2.64704i | 0.678979 | + | 0.734158i | ||||
\(14\) | 0.143686 | + | 0.442219i | 0.0384016 | + | 0.118188i | ||||
\(15\) | −1.73322 | − | 0.0908341i | −0.447515 | − | 0.0234533i | ||||
\(16\) | 0.120404 | − | 0.0536071i | 0.0301009 | − | 0.0134018i | ||||
\(17\) | 0.0769825 | − | 0.732440i | 0.0186710 | − | 0.177643i | −0.981212 | − | 0.192932i | \(-0.938200\pi\) |
0.999883 | + | 0.0152894i | \(0.00486696\pi\) | |||||||
\(18\) | −0.793746 | + | 0.404434i | −0.187088 | + | 0.0953260i | ||||
\(19\) | 1.84569 | − | 0.0967283i | 0.423430 | − | 0.0221910i | 0.160569 | − | 0.987025i | \(-0.448667\pi\) |
0.262861 | + | 0.964834i | \(0.415334\pi\) | |||||||
\(20\) | 0.750359 | + | 1.95475i | 0.167785 | + | 0.437096i | ||||
\(21\) | −0.369076 | + | 0.369076i | −0.0805389 | + | 0.0805389i | ||||
\(22\) | −2.02581 | + | 2.15074i | −0.431904 | + | 0.458540i | ||||
\(23\) | 0.859879 | + | 0.496452i | 0.179297 | + | 0.103517i | 0.586962 | − | 0.809614i | \(-0.300324\pi\) |
−0.407665 | + | 0.913131i | \(0.633657\pi\) | |||||||
\(24\) | 2.21984 | + | 1.79759i | 0.453122 | + | 0.366931i | ||||
\(25\) | −1.89042 | + | 0.614234i | −0.378084 | + | 0.122847i | ||||
\(26\) | −3.20505 | + | 0.210850i | −0.628562 | + | 0.0413511i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | 0.587859 | + | 0.225658i | 0.111095 | + | 0.0426454i | ||||
\(29\) | 1.20904 | − | 1.08863i | 0.224514 | − | 0.202153i | −0.549195 | − | 0.835694i | \(-0.685066\pi\) |
0.773709 | + | 0.633541i | \(0.218399\pi\) | |||||||
\(30\) | 1.03457 | − | 1.14901i | 0.188886 | − | 0.209779i | ||||
\(31\) | −1.58566 | + | 10.0114i | −0.284793 | + | 1.79811i | 0.266540 | + | 0.963824i | \(0.414120\pi\) |
−0.551333 | + | 0.834286i | \(0.685880\pi\) | |||||||
\(32\) | 1.44819 | − | 5.40472i | 0.256006 | − | 0.955429i | ||||
\(33\) | −3.18353 | − | 0.930122i | −0.554182 | − | 0.161913i | ||||
\(34\) | 0.463920 | + | 0.463920i | 0.0795616 | + | 0.0795616i | ||||
\(35\) | 0.368462 | − | 0.827579i | 0.0622814 | − | 0.139886i | ||||
\(36\) | −0.250825 | + | 1.18004i | −0.0418041 | + | 0.196673i | ||||
\(37\) | −0.431560 | + | 8.23466i | −0.0709481 | + | 1.35377i | 0.698752 | + | 0.715364i | \(0.253739\pi\) |
−0.769700 | + | 0.638406i | \(0.779594\pi\) | |||||||
\(38\) | −0.967772 | + | 1.33202i | −0.156993 | + | 0.216083i | ||||
\(39\) | −1.84424 | − | 3.09819i | −0.295315 | − | 0.496107i | ||||
\(40\) | −4.71491 | − | 1.53197i | −0.745493 | − | 0.242225i | ||||
\(41\) | 4.65422 | + | 7.16687i | 0.726867 | + | 1.11928i | 0.988072 | + | 0.153993i | \(0.0492134\pi\) |
−0.261205 | + | 0.965283i | \(0.584120\pi\) | |||||||
\(42\) | −0.0486033 | − | 0.462429i | −0.00749965 | − | 0.0713544i | ||||
\(43\) | −1.70999 | − | 2.96180i | −0.260772 | − | 0.451670i | 0.705675 | − | 0.708535i | \(-0.250644\pi\) |
−0.966447 | + | 0.256865i | \(0.917310\pi\) | |||||||
\(44\) | 0.537029 | + | 3.96497i | 0.0809602 | + | 0.597742i | ||||
\(45\) | 1.67646 | + | 0.449205i | 0.249912 | + | 0.0669636i | ||||
\(46\) | −0.825770 | + | 0.316984i | −0.121753 | + | 0.0467367i | ||||
\(47\) | 0.306954 | − | 0.602432i | 0.0447739 | − | 0.0878737i | −0.867536 | − | 0.497375i | \(-0.834297\pi\) |
0.912310 | + | 0.409501i | \(0.134297\pi\) | |||||||
\(48\) | −0.128918 | + | 0.0274024i | −0.0186077 | + | 0.00395519i | ||||
\(49\) | 2.73635 | + | 6.14594i | 0.390907 | + | 0.877991i | ||||
\(50\) | 0.634573 | − | 1.65312i | 0.0897422 | − | 0.233786i | ||||
\(51\) | −0.227583 | + | 0.700428i | −0.0318680 | + | 0.0980796i | ||||
\(52\) | −2.50957 | + | 3.55279i | −0.348015 | + | 0.492683i | ||||
\(53\) | 7.82786 | − | 5.68728i | 1.07524 | − | 0.781207i | 0.0983929 | − | 0.995148i | \(-0.468630\pi\) |
0.976847 | + | 0.213940i | \(0.0686298\pi\) | |||||||
\(54\) | 0.860487 | − | 0.230567i | 0.117098 | − | 0.0313762i | ||||
\(55\) | 5.73686 | − | 0.473006i | 0.773557 | − | 0.0637801i | ||||
\(56\) | −1.29116 | + | 0.745451i | −0.172538 | + | 0.0996150i | ||||
\(57\) | −1.82547 | − | 0.289125i | −0.241789 | − | 0.0382956i | ||||
\(58\) | 0.0758525 | + | 1.44735i | 0.00995992 | + | 0.190047i | ||||
\(59\) | −7.66144 | − | 4.97540i | −0.997434 | − | 0.647741i | −0.0608366 | − | 0.998148i | \(-0.519377\pi\) |
−0.936598 | + | 0.350406i | \(0.886044\pi\) | |||||||
\(60\) | −0.327546 | − | 2.06805i | −0.0422860 | − | 0.266984i | ||||
\(61\) | 6.91960 | + | 0.727279i | 0.885963 | + | 0.0931185i | 0.536568 | − | 0.843857i | \(-0.319720\pi\) |
0.349395 | + | 0.936975i | \(0.386387\pi\) | |||||||
\(62\) | −6.04211 | − | 6.71044i | −0.767349 | − | 0.852227i | ||||
\(63\) | 0.437746 | − | 0.284275i | 0.0551508 | − | 0.0358153i | ||||
\(64\) | 3.08481 | + | 4.24588i | 0.385602 | + | 0.530735i | ||||
\(65\) | 4.91528 | + | 3.87296i | 0.609666 | + | 0.480382i | ||||
\(66\) | 2.42870 | − | 1.68256i | 0.298953 | − | 0.207108i | ||||
\(67\) | −0.185526 | − | 0.692394i | −0.0226656 | − | 0.0845893i | 0.953667 | − | 0.300865i | \(-0.0972755\pi\) |
−0.976332 | + | 0.216276i | \(0.930609\pi\) | |||||||
\(68\) | 0.883615 | − | 0.0928717i | 0.107154 | − | 0.0112623i | ||||
\(69\) | −0.737871 | − | 0.664382i | −0.0888292 | − | 0.0799822i | ||||
\(70\) | 0.366376 | + | 0.719053i | 0.0437903 | + | 0.0859432i | ||||
\(71\) | −6.97378 | − | 8.61190i | −0.827635 | − | 1.02204i | −0.999319 | − | 0.0368925i | \(-0.988254\pi\) |
0.171684 | − | 0.985152i | \(-0.445079\pi\) | |||||||
\(72\) | −1.79759 | − | 2.21984i | −0.211848 | − | 0.261610i | ||||
\(73\) | −7.55365 | − | 14.8249i | −0.884088 | − | 1.73512i | −0.645101 | − | 0.764097i | \(-0.723185\pi\) |
−0.238987 | − | 0.971023i | \(-0.576815\pi\) | |||||||
\(74\) | −5.45903 | − | 4.91533i | −0.634600 | − | 0.571396i | ||||
\(75\) | 1.97682 | − | 0.207772i | 0.228263 | − | 0.0239914i | ||||
\(76\) | 0.577087 | + | 2.15372i | 0.0661964 | + | 0.247048i | ||||
\(77\) | 1.04872 | − | 1.37730i | 0.119512 | − | 0.156958i | ||||
\(78\) | 3.17885 | + | 0.460125i | 0.359934 | + | 0.0520988i | ||||
\(79\) | −6.74954 | − | 9.28994i | −0.759382 | − | 1.04520i | −0.997265 | − | 0.0739062i | \(-0.976453\pi\) |
0.237883 | − | 0.971294i | \(-0.423547\pi\) | |||||||
\(80\) | 0.191844 | − | 0.124585i | 0.0214489 | − | 0.0139291i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | −7.57100 | − | 0.795744i | −0.836077 | − | 0.0878752i | ||||
\(83\) | −2.44089 | − | 15.4112i | −0.267922 | − | 1.69159i | −0.644015 | − | 0.765013i | \(-0.722733\pi\) |
0.376093 | − | 0.926582i | \(-0.377267\pi\) | |||||||
\(84\) | −0.528096 | − | 0.342950i | −0.0576200 | − | 0.0374189i | ||||
\(85\) | −0.0668970 | − | 1.27647i | −0.00725599 | − | 0.138453i | ||||
\(86\) | 3.00916 | + | 0.476604i | 0.324486 | + | 0.0513936i | ||||
\(87\) | −1.40896 | + | 0.813465i | −0.151057 | + | 0.0872126i | ||||
\(88\) | −8.09595 | − | 4.91982i | −0.863031 | − | 0.524455i | ||||
\(89\) | 10.2058 | − | 2.73463i | 1.08181 | − | 0.289870i | 0.326473 | − | 0.945207i | \(-0.394140\pi\) |
0.755337 | + | 0.655337i | \(0.227473\pi\) | |||||||
\(90\) | −1.25086 | + | 0.908800i | −0.131852 | + | 0.0957959i | ||||
\(91\) | 1.85466 | − | 0.319152i | 0.194422 | − | 0.0334563i | ||||
\(92\) | −0.370152 | + | 1.13921i | −0.0385911 | + | 0.118771i | ||||
\(93\) | 3.63250 | − | 9.46300i | 0.376673 | − | 0.981267i | ||||
\(94\) | 0.244986 | + | 0.550247i | 0.0252684 | + | 0.0567537i | ||||
\(95\) | 3.13767 | − | 0.666932i | 0.321918 | − | 0.0684257i | ||||
\(96\) | −2.54025 | + | 4.98552i | −0.259263 | + | 0.508833i | ||||
\(97\) | −1.48287 | + | 0.569219i | −0.150562 | + | 0.0577954i | −0.432482 | − | 0.901643i | \(-0.642362\pi\) |
0.281920 | + | 0.959438i | \(0.409029\pi\) | |||||||
\(98\) | −5.78899 | − | 1.55115i | −0.584776 | − | 0.156690i | ||||
\(99\) | 2.92058 | + | 1.57169i | 0.293529 | + | 0.157961i | ||||
\(100\) | −1.19898 | − | 2.07670i | −0.119898 | − | 0.207670i | ||||
\(101\) | 0.171770 | + | 1.63428i | 0.0170917 | + | 0.162617i | 0.999738 | − | 0.0228701i | \(-0.00728041\pi\) |
−0.982647 | + | 0.185487i | \(0.940614\pi\) | |||||||
\(102\) | −0.357328 | − | 0.550237i | −0.0353807 | − | 0.0544816i | ||||
\(103\) | 1.61629 | + | 0.525165i | 0.159258 | + | 0.0517460i | 0.387561 | − | 0.921844i | \(-0.373318\pi\) |
−0.228303 | + | 0.973590i | \(0.573318\pi\) | |||||||
\(104\) | −2.79794 | − | 9.91154i | −0.274360 | − | 0.971906i | ||||
\(105\) | −0.532473 | + | 0.732887i | −0.0519641 | + | 0.0715224i | ||||
\(106\) | −0.451114 | + | 8.60777i | −0.0438161 | + | 0.836061i | ||||
\(107\) | −1.34520 | + | 6.32866i | −0.130045 | + | 0.611814i | 0.864060 | + | 0.503390i | \(0.167914\pi\) |
−0.994105 | + | 0.108425i | \(0.965419\pi\) | |||||||
\(108\) | 0.490687 | − | 1.10210i | 0.0472164 | − | 0.106050i | ||||
\(109\) | 6.23653 | + | 6.23653i | 0.597351 | + | 0.597351i | 0.939607 | − | 0.342256i | \(-0.111191\pi\) |
−0.342256 | + | 0.939607i | \(0.611191\pi\) | |||||||
\(110\) | −2.88876 | + | 4.23689i | −0.275432 | + | 0.403971i | ||||
\(111\) | 2.13421 | − | 7.96499i | 0.202570 | − | 0.756003i | ||||
\(112\) | 0.0107615 | − | 0.0679453i | 0.00101686 | − | 0.00642023i | ||||
\(113\) | −3.88504 | + | 4.31477i | −0.365474 | + | 0.405900i | −0.897632 | − | 0.440745i | \(-0.854714\pi\) |
0.532159 | + | 0.846645i | \(0.321381\pi\) | |||||||
\(114\) | 1.22357 | − | 1.10170i | 0.114598 | − | 0.103184i | ||||
\(115\) | 1.60882 | + | 0.617568i | 0.150023 | + | 0.0575885i | ||||
\(116\) | 1.58788 | + | 1.15366i | 0.147431 | + | 0.107115i | ||||
\(117\) | 1.15979 | + | 3.41392i | 0.107223 | + | 0.315617i | ||||
\(118\) | 7.73973 | − | 2.51479i | 0.712500 | − | 0.231505i | ||||
\(119\) | −0.298738 | − | 0.241913i | −0.0273853 | − | 0.0221761i | ||||
\(120\) | 4.29337 | + | 2.47878i | 0.391929 | + | 0.226280i | ||||
\(121\) | 10.8771 | + | 1.63980i | 0.988826 | + | 0.149073i | ||||
\(122\) | −4.38280 | + | 4.38280i | −0.396801 | + | 0.396801i | ||||
\(123\) | −3.06244 | − | 7.97792i | −0.276131 | − | 0.719345i | ||||
\(124\) | −12.2116 | + | 0.639983i | −1.09663 | + | 0.0574722i | ||||
\(125\) | −10.8060 | + | 5.50592i | −0.966516 | + | 0.492465i | ||||
\(126\) | −0.0486033 | + | 0.462429i | −0.00432992 | + | 0.0411965i | ||||
\(127\) | 14.0056 | − | 6.23571i | 1.24280 | − | 0.553329i | 0.323253 | − | 0.946313i | \(-0.395224\pi\) |
0.919546 | + | 0.392983i | \(0.128557\pi\) | |||||||
\(128\) | 6.50652 | + | 0.340992i | 0.575100 | + | 0.0301397i | ||||
\(129\) | 1.05683 | + | 3.25260i | 0.0930491 | + | 0.286376i | ||||
\(130\) | −5.43694 | + | 1.23164i | −0.476851 | + | 0.108022i | ||||
\(131\) | − | 9.84229i | − | 0.859925i | −0.902847 | − | 0.429963i | \(-0.858527\pi\) | ||
0.902847 | − | 0.429963i | \(-0.141473\pi\) | |||||||
\(132\) | 0.299070 | − | 3.98998i | 0.0260307 | − | 0.347284i | ||||
\(133\) | 0.482341 | − | 0.835439i | 0.0418242 | − | 0.0724417i | ||||
\(134\) | 0.583365 | + | 0.259731i | 0.0503950 | + | 0.0224373i | ||||
\(135\) | −1.54643 | − | 0.787944i | −0.133095 | − | 0.0678155i | ||||
\(136\) | −1.14574 | + | 1.76428i | −0.0982461 | + | 0.151286i | ||||
\(137\) | −8.38414 | + | 6.78934i | −0.716305 | + | 0.580053i | −0.916659 | − | 0.399671i | \(-0.869124\pi\) |
0.200353 | + | 0.979724i | \(0.435791\pi\) | |||||||
\(138\) | 0.873630 | − | 0.138369i | 0.0743683 | − | 0.0117788i | ||||
\(139\) | −1.51194 | − | 7.11310i | −0.128241 | − | 0.603326i | −0.994589 | − | 0.103886i | \(-0.966872\pi\) |
0.866348 | − | 0.499440i | \(-0.166461\pi\) | |||||||
\(140\) | 1.06899 | + | 0.227221i | 0.0903464 | + | 0.0192037i | ||||
\(141\) | −0.425499 | + | 0.525448i | −0.0358335 | + | 0.0442507i | ||||
\(142\) | 9.87182 | 0.828425 | ||||||||
\(143\) | 7.44048 | + | 9.36158i | 0.622204 | + | 0.782855i | ||||
\(144\) | 0.131798 | 0.0109832 | ||||||||
\(145\) | 1.77701 | − | 2.19442i | 0.147573 | − | 0.182237i | ||||
\(146\) | 14.4982 | + | 3.08170i | 1.19988 | + | 0.255043i | ||||
\(147\) | −1.39874 | − | 6.58055i | −0.115366 | − | 0.542755i | ||||
\(148\) | −9.82546 | + | 1.55620i | −0.807648 | + | 0.127919i | ||||
\(149\) | 6.42168 | − | 5.20017i | 0.526084 | − | 0.426015i | −0.329134 | − | 0.944283i | \(-0.606757\pi\) |
0.855218 | + | 0.518269i | \(0.173423\pi\) | |||||||
\(150\) | −0.964409 | + | 1.48506i | −0.0787437 | + | 0.121255i | ||||
\(151\) | 8.08866 | + | 4.12138i | 0.658246 | + | 0.335393i | 0.751006 | − | 0.660295i | \(-0.229569\pi\) |
−0.0927598 | + | 0.995689i | \(0.529569\pi\) | |||||||
\(152\) | −4.82283 | − | 2.14726i | −0.391183 | − | 0.174166i | ||||
\(153\) | 0.368237 | − | 0.637805i | 0.0297702 | − | 0.0515635i | ||||
\(154\) | 0.365591 | + | 1.49819i | 0.0294602 | + | 0.120728i | ||||
\(155\) | 17.5924i | 1.41306i | ||||||||
\(156\) | 3.19339 | − | 2.95338i | 0.255676 | − | 0.236460i | ||||
\(157\) | −3.30769 | − | 10.1800i | −0.263982 | − | 0.812453i | −0.991926 | − | 0.126817i | \(-0.959524\pi\) |
0.727944 | − | 0.685636i | \(-0.240476\pi\) | |||||||
\(158\) | 10.2155 | + | 0.535373i | 0.812703 | + | 0.0425920i | ||||
\(159\) | −8.83926 | + | 3.93549i | −0.700999 | + | 0.312105i | ||||
\(160\) | 1.01511 | − | 9.65813i | 0.0802515 | − | 0.763542i | ||||
\(161\) | 0.461762 | − | 0.235279i | 0.0363919 | − | 0.0185426i | ||||
\(162\) | −0.889621 | + | 0.0466231i | −0.0698953 | + | 0.00366305i | ||||
\(163\) | −6.00532 | − | 15.6444i | −0.470373 | − | 1.22536i | −0.939596 | − | 0.342285i | \(-0.888799\pi\) |
0.469223 | − | 0.883080i | \(-0.344534\pi\) | |||||||
\(164\) | −7.28978 | + | 7.28978i | −0.569236 | + | 0.569236i | ||||
\(165\) | −5.70984 | − | 0.730090i | −0.444510 | − | 0.0568374i | ||||
\(166\) | 12.0378 | + | 6.95002i | 0.934314 | + | 0.539426i | ||||
\(167\) | −10.6470 | − | 8.62179i | −0.823891 | − | 0.667174i | 0.121687 | − | 0.992569i | \(-0.461170\pi\) |
−0.945578 | + | 0.325394i | \(0.894503\pi\) | |||||||
\(168\) | 1.41793 | − | 0.460714i | 0.109396 | − | 0.0355448i | ||||
\(169\) | −1.01369 | + | 12.9604i | −0.0779758 | + | 0.996955i | ||||
\(170\) | 0.921223 | + | 0.669307i | 0.0706546 | + | 0.0513335i | ||||
\(171\) | 1.72546 | + | 0.662343i | 0.131949 | + | 0.0506506i | ||||
\(172\) | 3.06612 | − | 2.76075i | 0.233790 | − | 0.210505i | ||||
\(173\) | −7.10960 | + | 7.89601i | −0.540533 | + | 0.600322i | −0.950095 | − | 0.311960i | \(-0.899015\pi\) |
0.409563 | + | 0.912282i | \(0.365681\pi\) | |||||||
\(174\) | 0.226726 | − | 1.43149i | 0.0171881 | − | 0.108521i | ||||
\(175\) | −0.268521 | + | 1.00213i | −0.0202983 | + | 0.0757542i | ||||
\(176\) | 0.411506 | − | 0.147449i | 0.0310184 | − | 0.0111144i | ||||
\(177\) | 6.45958 | + | 6.45958i | 0.485531 | + | 0.485531i | ||||
\(178\) | −3.82839 | + | 8.59870i | −0.286950 | + | 0.644500i | ||||
\(179\) | −2.65889 | + | 12.5091i | −0.198734 | + | 0.934972i | 0.759836 | + | 0.650115i | \(0.225279\pi\) |
−0.958570 | + | 0.284857i | \(0.908054\pi\) | |||||||
\(180\) | −0.109582 | + | 2.09095i | −0.00816778 | + | 0.155851i | ||||
\(181\) | 8.54874 | − | 11.7663i | 0.635423 | − | 0.874585i | −0.362938 | − | 0.931813i | \(-0.618226\pi\) |
0.998361 | + | 0.0572284i | \(0.0182263\pi\) | |||||||
\(182\) | −0.818817 | + | 1.46294i | −0.0606948 | + | 0.108440i | ||||
\(183\) | −6.61718 | − | 2.15005i | −0.489156 | − | 0.158936i | ||||
\(184\) | −1.54466 | − | 2.37857i | −0.113874 | − | 0.175351i | ||||
\(185\) | 1.49598 | + | 14.2333i | 0.109986 | + | 1.04645i | ||||
\(186\) | 4.51490 | + | 7.82003i | 0.331048 | + | 0.573392i | ||||
\(187\) | 0.436182 | − | 2.40335i | 0.0318968 | − | 0.175750i | ||||
\(188\) | 0.787884 | + | 0.211113i | 0.0574623 | + | 0.0153970i | ||||
\(189\) | −0.487284 | + | 0.187051i | −0.0354447 | + | 0.0136059i | ||||
\(190\) | −1.29733 | + | 2.54615i | −0.0941181 | + | 0.184717i | ||||
\(191\) | −7.85193 | + | 1.66898i | −0.568146 | + | 0.120763i | −0.483024 | − | 0.875607i | \(-0.660461\pi\) |
−0.0851224 | + | 0.996370i | \(0.527128\pi\) | |||||||
\(192\) | −2.13463 | − | 4.79447i | −0.154054 | − | 0.346011i | ||||
\(193\) | 1.34722 | − | 3.50964i | 0.0969754 | − | 0.252629i | −0.876508 | − | 0.481387i | \(-0.840133\pi\) |
0.973483 | + | 0.228758i | \(0.0734664\pi\) | |||||||
\(194\) | 0.437253 | − | 1.34573i | 0.0313930 | − | 0.0966176i | ||||
\(195\) | −4.00264 | − | 4.81027i | −0.286635 | − | 0.344471i | ||||
\(196\) | −6.56609 | + | 4.77055i | −0.469007 | + | 0.340753i | ||||
\(197\) | −15.8716 | + | 4.25279i | −1.13081 | + | 0.302999i | −0.775249 | − | 0.631655i | \(-0.782376\pi\) |
−0.355558 | + | 0.934654i | \(0.615709\pi\) | |||||||
\(198\) | −2.72545 | + | 1.14083i | −0.193690 | + | 0.0810753i | ||||
\(199\) | 11.0834 | − | 6.39900i | 0.785681 | − | 0.453613i | −0.0527588 | − | 0.998607i | \(-0.516801\pi\) |
0.838440 | + | 0.544994i | \(0.183468\pi\) | |||||||
\(200\) | 5.60777 | + | 0.888184i | 0.396529 | + | 0.0628041i | ||||
\(201\) | 0.0375154 | + | 0.715836i | 0.00264613 | + | 0.0504912i | ||||
\(202\) | −1.22773 | − | 0.797300i | −0.0863830 | − | 0.0560978i | ||||
\(203\) | −0.132841 | − | 0.838724i | −0.00932360 | − | 0.0588669i | ||||
\(204\) | −0.883615 | − | 0.0928717i | −0.0618654 | − | 0.00650232i | ||||
\(205\) | 9.92425 | + | 11.0220i | 0.693140 | + | 0.769809i | ||||
\(206\) | −1.26971 | + | 0.824561i | −0.0884651 | + | 0.0574499i | ||||
\(207\) | 0.583614 | + | 0.803275i | 0.0405640 | + | 0.0558315i | ||||
\(208\) | 0.436659 | + | 0.187478i | 0.0302769 | + | 0.0129993i | ||||
\(209\) | 6.12831 | + | 0.137637i | 0.423904 | + | 0.00952057i | ||||
\(210\) | −0.208870 | − | 0.779513i | −0.0144134 | − | 0.0537915i | ||||
\(211\) | −2.85564 | + | 0.300140i | −0.196591 | + | 0.0206625i | −0.202312 | − | 0.979321i | \(-0.564845\pi\) |
0.00572135 | + | 0.999984i | \(0.498179\pi\) | |||||||
\(212\) | 8.67462 | + | 7.81066i | 0.595775 | + | 0.536438i | ||||
\(213\) | 5.03087 | + | 9.87364i | 0.344710 | + | 0.676531i | ||||
\(214\) | −3.62727 | − | 4.47930i | −0.247955 | − | 0.306199i | ||||
\(215\) | −3.73547 | − | 4.61292i | −0.254757 | − | 0.314599i | ||||
\(216\) | 1.29678 | + | 2.54507i | 0.0882345 | + | 0.173170i | ||||
\(217\) | 3.93170 | + | 3.54012i | 0.266901 | + | 0.240319i | ||||
\(218\) | −7.81400 | + | 0.821284i | −0.529231 | + | 0.0556244i | ||||
\(219\) | 4.30632 | + | 16.0714i | 0.290994 | + | 1.08601i | ||||
\(220\) | 1.99711 | + | 6.65106i | 0.134645 | + | 0.448415i | ||||
\(221\) | 2.12726 | − | 1.58930i | 0.143095 | − | 0.106908i | ||||
\(222\) | 4.31778 | + | 5.94292i | 0.289791 | + | 0.398863i | ||||
\(223\) | −13.2765 | + | 8.62188i | −0.889062 | + | 0.577364i | −0.906369 | − | 0.422487i | \(-0.861157\pi\) |
0.0173071 | + | 0.999850i | \(0.494491\pi\) | |||||||
\(224\) | −1.95421 | − | 2.17037i | −0.130571 | − | 0.145014i | ||||
\(225\) | −1.97682 | − | 0.207772i | −0.131788 | − | 0.0138514i | ||||
\(226\) | −0.809129 | − | 5.10864i | −0.0538225 | − | 0.339822i | ||||
\(227\) | −2.13232 | − | 1.38474i | −0.141527 | − | 0.0919087i | 0.471933 | − | 0.881634i | \(-0.343556\pi\) |
−0.613460 | + | 0.789726i | \(0.710223\pi\) | |||||||
\(228\) | −0.116693 | − | 2.22664i | −0.00772819 | − | 0.147463i | ||||
\(229\) | −19.6508 | − | 3.11238i | −1.29856 | − | 0.205672i | −0.531397 | − | 0.847123i | \(-0.678333\pi\) |
−0.767164 | + | 0.641451i | \(0.778333\pi\) | |||||||
\(230\) | −1.32950 | + | 0.767585i | −0.0876644 | + | 0.0506130i | ||||
\(231\) | −1.31216 | + | 1.12917i | −0.0863335 | + | 0.0742937i | ||||
\(232\) | −4.48881 | + | 1.20277i | −0.294705 | + | 0.0789659i | ||||
\(233\) | 12.9683 | − | 9.42200i | 0.849579 | − | 0.617255i | −0.0754508 | − | 0.997150i | \(-0.524040\pi\) |
0.925030 | + | 0.379894i | \(0.124040\pi\) | |||||||
\(234\) | −3.01372 | − | 1.11099i | −0.197013 | − | 0.0726277i | ||||
\(235\) | 0.362625 | − | 1.11605i | 0.0236551 | − | 0.0728028i | ||||
\(236\) | 3.94948 | − | 10.2887i | 0.257089 | − | 0.669740i | ||||
\(237\) | 4.67056 | + | 10.4902i | 0.303385 | + | 0.681414i | ||||
\(238\) | 0.334960 | − | 0.0711979i | 0.0217122 | − | 0.00461508i | ||||
\(239\) | 1.21074 | − | 2.37621i | 0.0783164 | − | 0.153705i | −0.848528 | − | 0.529151i | \(-0.822511\pi\) |
0.926844 | + | 0.375446i | \(0.122511\pi\) | |||||||
\(240\) | −0.213555 | + | 0.0819761i | −0.0137849 | + | 0.00529153i | ||||
\(241\) | −8.56354 | − | 2.29459i | −0.551626 | − | 0.147808i | −0.0277696 | − | 0.999614i | \(-0.508840\pi\) |
−0.523856 | + | 0.851807i | \(0.675507\pi\) | |||||||
\(242\) | −7.23323 | + | 6.61105i | −0.464970 | + | 0.424974i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 0.877389 | + | 8.34780i | 0.0561691 | + | 0.534413i | ||||
\(245\) | 6.35939 | + | 9.79260i | 0.406287 | + | 0.625627i | ||||
\(246\) | 7.24011 | + | 2.35245i | 0.461612 | + | 0.149987i | ||||
\(247\) | 4.77446 | + | 4.64881i | 0.303791 | + | 0.295797i | ||||
\(248\) | 17.0182 | − | 23.4236i | 1.08066 | − | 1.48740i | ||||
\(249\) | −0.816612 | + | 15.5819i | −0.0517507 | + | 0.987461i | ||||
\(250\) | 2.24628 | − | 10.5679i | 0.142067 | − | 0.668372i | ||||
\(251\) | −8.69443 | + | 19.5280i | −0.548787 | + | 1.23260i | 0.399952 | + | 0.916536i | \(0.369027\pi\) |
−0.948739 | + | 0.316060i | \(0.897640\pi\) | |||||||
\(252\) | 0.445253 | + | 0.445253i | 0.0280483 | + | 0.0280483i | ||||
\(253\) | 2.72085 | + | 1.85510i | 0.171058 | + | 0.116629i | ||||
\(254\) | −3.53484 | + | 13.1922i | −0.221795 | + | 0.827752i | ||||
\(255\) | −0.199958 | + | 1.26248i | −0.0125219 | + | 0.0790599i | ||||
\(256\) | −10.9073 | + | 12.1137i | −0.681703 | + | 0.757108i | ||||
\(257\) | 15.1558 | − | 13.6463i | 0.945391 | − | 0.851233i | −0.0436245 | − | 0.999048i | \(-0.513891\pi\) |
0.989015 | + | 0.147815i | \(0.0472239\pi\) | |||||||
\(258\) | −2.84431 | − | 1.09183i | −0.177079 | − | 0.0679743i | ||||
\(259\) | 3.48200 | + | 2.52982i | 0.216361 | + | 0.157196i | ||||
\(260\) | −3.33737 | + | 6.77165i | −0.206975 | + | 0.419960i | ||||
\(261\) | 1.54730 | − | 0.502749i | 0.0957756 | − | 0.0311194i | ||||
\(262\) | 6.81396 | + | 5.51784i | 0.420968 | + | 0.340893i | ||||
\(263\) | −13.1795 | − | 7.60920i | −0.812684 | − | 0.469203i | 0.0352032 | − | 0.999380i | \(-0.488792\pi\) |
−0.847887 | + | 0.530177i | \(0.822125\pi\) | |||||||
\(264\) | 6.89614 | + | 6.49555i | 0.424428 | + | 0.399774i | ||||
\(265\) | 11.8746 | − | 11.8746i | 0.729451 | − | 0.729451i | ||||
\(266\) | 0.307974 | + | 0.802299i | 0.0188831 | + | 0.0491921i | ||||
\(267\) | −10.5513 | + | 0.552971i | −0.645730 | + | 0.0338413i | ||||
\(268\) | 0.770516 | − | 0.392597i | 0.0470667 | − | 0.0239817i | ||||
\(269\) | 0.111337 | − | 1.05930i | 0.00678834 | − | 0.0645868i | −0.990603 | − | 0.136767i | \(-0.956329\pi\) |
0.997392 | + | 0.0721800i | \(0.0229956\pi\) | |||||||
\(270\) | 1.41247 | − | 0.628873i | 0.0859603 | − | 0.0382720i | ||||
\(271\) | −23.3565 | − | 1.22406i | −1.41881 | − | 0.0743564i | −0.672567 | − | 0.740036i | \(-0.734808\pi\) |
−0.746238 | + | 0.665680i | \(0.768142\pi\) | |||||||
\(272\) | −0.0299950 | − | 0.0923151i | −0.00181871 | − | 0.00559743i | ||||
\(273\) | −1.88049 | − | 0.0734282i | −0.113812 | − | 0.00444408i | ||||
\(274\) | − | 9.61074i | − | 0.580606i | ||||||
\(275\) | −6.40454 | + | 1.56285i | −0.386208 | + | 0.0942431i | ||||
\(276\) | 0.598919 | − | 1.03736i | 0.0360507 | − | 0.0624416i | ||||
\(277\) | −1.15922 | − | 0.516118i | −0.0696508 | − | 0.0310105i | 0.371616 | − | 0.928387i | \(-0.378804\pi\) |
−0.441266 | + | 0.897376i | \(0.645471\pi\) | |||||||
\(278\) | 5.77213 | + | 2.94105i | 0.346190 | + | 0.176392i | ||||
\(279\) | −5.52059 | + | 8.50097i | −0.330509 | + | 0.508940i | ||||
\(280\) | −2.01094 | + | 1.62843i | −0.120177 | + | 0.0973174i | ||||
\(281\) | −24.3133 | + | 3.85085i | −1.45041 | + | 0.229722i | −0.831406 | − | 0.555665i | \(-0.812464\pi\) |
−0.619004 | + | 0.785388i | \(0.712464\pi\) | |||||||
\(282\) | −0.125229 | − | 0.589158i | −0.00745731 | − | 0.0350839i | ||||
\(283\) | 15.1154 | + | 3.21289i | 0.898520 | + | 0.190986i | 0.633944 | − | 0.773379i | \(-0.281435\pi\) |
0.264576 | + | 0.964365i | \(0.414768\pi\) | |||||||
\(284\) | 8.41317 | − | 10.3894i | 0.499230 | − | 0.616497i | ||||
\(285\) | −3.20776 | −0.190012 | ||||||||
\(286\) | −10.6525 | − | 0.0971868i | −0.629894 | − | 0.00574677i | ||||
\(287\) | 4.46034 | 0.263286 | ||||||||
\(288\) | 3.52129 | − | 4.34843i | 0.207494 | − | 0.256234i | ||||
\(289\) | 16.0980 | + | 3.42173i | 0.946939 | + | 0.201278i | ||||
\(290\) | 0.522995 | + | 2.46050i | 0.0307113 | + | 0.144485i | ||||
\(291\) | 1.56881 | − | 0.248475i | 0.0919652 | − | 0.0145659i | ||||
\(292\) | 15.5993 | − | 12.6320i | 0.912878 | − | 0.739234i | ||||
\(293\) | 4.04739 | − | 6.23243i | 0.236451 | − | 0.364102i | −0.700448 | − | 0.713704i | \(-0.747016\pi\) |
0.936899 | + | 0.349601i | \(0.113683\pi\) | |||||||
\(294\) | 5.33998 | + | 2.72086i | 0.311434 | + | 0.158684i | ||||
\(295\) | −14.4843 | − | 6.44883i | −0.843309 | − | 0.375465i | ||||
\(296\) | 11.7769 | − | 20.3981i | 0.684517 | − | 1.18562i | ||||
\(297\) | −2.52999 | − | 2.14457i | −0.146805 | − | 0.124440i | ||||
\(298\) | 7.36116i | 0.426421i | ||||||||
\(299\) | 0.790935 | + | 3.49150i | 0.0457409 | + | 0.201919i | ||||
\(300\) | 0.741013 | + | 2.28060i | 0.0427824 | + | 0.131671i | ||||
\(301\) | −1.78262 | − | 0.0934233i | −0.102749 | − | 0.00538483i | ||||
\(302\) | −7.38800 | + | 3.28935i | −0.425132 | + | 0.189281i | ||||
\(303\) | 0.171770 | − | 1.63428i | 0.00986791 | − | 0.0938869i | ||||
\(304\) | 0.217042 | − | 0.110588i | 0.0124482 | − | 0.00634268i | ||||
\(305\) | 12.0592 | − | 0.631997i | 0.690509 | − | 0.0361881i | ||||
\(306\) | 0.235119 | + | 0.612505i | 0.0134408 | + | 0.0350146i | ||||
\(307\) | −4.93749 | + | 4.93749i | −0.281798 | + | 0.281798i | −0.833826 | − | 0.552028i | \(-0.813854\pi\) |
0.552028 | + | 0.833826i | \(0.313854\pi\) | |||||||
\(308\) | 1.88831 | + | 0.892062i | 0.107597 | + | 0.0508299i | ||||
\(309\) | −1.47178 | − | 0.849734i | −0.0837268 | − | 0.0483397i | ||||
\(310\) | −12.1795 | − | 9.86276i | −0.691749 | − | 0.560167i | ||||
\(311\) | 30.1722 | − | 9.80356i | 1.71091 | − | 0.555909i | 0.720426 | − | 0.693532i | \(-0.243946\pi\) |
0.990485 | + | 0.137623i | \(0.0439462\pi\) | |||||||
\(312\) | 0.676070 | + | 10.2767i | 0.0382749 | + | 0.581802i | ||||
\(313\) | −5.18508 | − | 3.76718i | −0.293078 | − | 0.212934i | 0.431523 | − | 0.902102i | \(-0.357976\pi\) |
−0.724602 | + | 0.689168i | \(0.757976\pi\) | |||||||
\(314\) | 8.90214 | + | 3.41721i | 0.502377 | + | 0.192844i | ||||
\(315\) | 0.673213 | − | 0.606164i | 0.0379313 | − | 0.0341535i | ||||
\(316\) | 9.26953 | − | 10.2949i | 0.521452 | − | 0.579131i | ||||
\(317\) | −5.26715 | + | 33.2555i | −0.295833 | + | 1.86781i | 0.173559 | + | 0.984824i | \(0.444473\pi\) |
−0.469391 | + | 0.882990i | \(0.655527\pi\) | |||||||
\(318\) | 2.23091 | − | 8.32588i | 0.125103 | − | 0.466892i | ||||
\(319\) | 4.26860 | − | 3.30075i | 0.238996 | − | 0.184806i | ||||
\(320\) | 6.44086 | + | 6.44086i | 0.360055 | + | 0.360055i | ||||
\(321\) | 2.63160 | − | 5.91068i | 0.146882 | − | 0.329902i | ||||
\(322\) | −0.0959880 | + | 0.451588i | −0.00534920 | + | 0.0251660i | ||||
\(323\) | 0.0712379 | − | 1.35930i | 0.00396378 | − | 0.0756335i | ||||
\(324\) | −0.709104 | + | 0.975998i | −0.0393947 | + | 0.0542221i | ||||
\(325\) | −6.25383 | − | 3.50032i | −0.346900 | − | 0.194163i | ||||
\(326\) | 14.1976 | + | 4.61307i | 0.786331 | + | 0.255495i | ||||
\(327\) | −4.80360 | − | 7.39689i | −0.265640 | − | 0.409049i | ||||
\(328\) | −2.55147 | − | 24.2756i | −0.140882 | − | 1.34040i | ||||
\(329\) | −0.176452 | − | 0.305624i | −0.00972813 | − | 0.0168496i | ||||
\(330\) | 3.70653 | − | 3.54369i | 0.204038 | − | 0.195074i | ||||
\(331\) | 16.6742 | + | 4.46785i | 0.916499 | + | 0.245575i | 0.686088 | − | 0.727518i | \(-0.259326\pi\) |
0.230411 | + | 0.973093i | \(0.425993\pi\) | |||||||
\(332\) | 17.5735 | − | 6.74584i | 0.964472 | − | 0.370226i | ||||
\(333\) | −3.74359 | + | 7.34721i | −0.205147 | + | 0.402624i | ||||
\(334\) | 11.9380 | − | 2.53750i | 0.653217 | − | 0.138846i | ||||
\(335\) | −0.506024 | − | 1.13655i | −0.0276471 | − | 0.0620963i | ||||
\(336\) | −0.0246529 | + | 0.0642231i | −0.00134493 | + | 0.00350366i | ||||
\(337\) | 2.21534 | − | 6.81811i | 0.120677 | − | 0.371406i | −0.872412 | − | 0.488772i | \(-0.837445\pi\) |
0.993089 | + | 0.117366i | \(0.0374450\pi\) | |||||||
\(338\) | −8.40439 | − | 7.96773i | −0.457138 | − | 0.433387i | ||||
\(339\) | 4.69723 | − | 3.41274i | 0.255119 | − | 0.185355i | ||||
\(340\) | 1.48950 | − | 0.399111i | 0.0807796 | − | 0.0216448i | ||||
\(341\) | −7.72619 | + | 32.7182i | −0.418397 | + | 1.77179i | ||||
\(342\) | −1.42589 | + | 0.823236i | −0.0771031 | + | 0.0445155i | ||||
\(343\) | 7.07691 | + | 1.12087i | 0.382117 | + | 0.0605214i | ||||
\(344\) | 0.511262 | + | 9.75546i | 0.0275654 | + | 0.525979i | ||||
\(345\) | −1.44526 | − | 0.938565i | −0.0778104 | − | 0.0505306i | ||||
\(346\) | −1.48070 | − | 9.34878i | −0.0796030 | − | 0.502593i | ||||
\(347\) | 8.27971 | + | 0.870232i | 0.444478 | + | 0.0467165i | 0.324124 | − | 0.946015i | \(-0.394930\pi\) |
0.120354 | + | 0.992731i | \(0.461597\pi\) | |||||||
\(348\) | −1.31332 | − | 1.45859i | −0.0704014 | − | 0.0781887i | ||||
\(349\) | −19.8521 | + | 12.8921i | −1.06266 | + | 0.690100i | −0.952723 | − | 0.303839i | \(-0.901732\pi\) |
−0.109937 | + | 0.993939i | \(0.535065\pi\) | |||||||
\(350\) | −0.543252 | − | 0.747723i | −0.0290381 | − | 0.0399675i | ||||
\(351\) | −0.424655 | − | 3.58046i | −0.0226664 | − | 0.191111i | ||||
\(352\) | 6.12952 | − | 17.5163i | 0.326704 | − | 0.933621i | ||||
\(353\) | −8.17607 | − | 30.5135i | −0.435168 | − | 1.62407i | −0.740663 | − | 0.671876i | \(-0.765489\pi\) |
0.305495 | − | 0.952194i | \(-0.401178\pi\) | |||||||
\(354\) | −8.09346 | + | 0.850657i | −0.430162 | + | 0.0452119i | ||||
\(355\) | −14.2928 | − | 12.8693i | −0.758585 | − | 0.683033i | ||||
\(356\) | 5.78682 | + | 11.3573i | 0.306701 | + | 0.601935i | ||||
\(357\) | 0.241913 | + | 0.298738i | 0.0128034 | + | 0.0158109i | ||||
\(358\) | −7.16957 | − | 8.85369i | −0.378924 | − | 0.467932i | ||||
\(359\) | −5.20476 | − | 10.2149i | −0.274697 | − | 0.539123i | 0.711904 | − | 0.702277i | \(-0.247833\pi\) |
−0.986601 | + | 0.163154i | \(0.947833\pi\) | |||||||
\(360\) | −3.68418 | − | 3.31725i | −0.194173 | − | 0.174834i | ||||
\(361\) | −15.4987 | + | 1.62898i | −0.815722 | + | 0.0857358i | ||||
\(362\) | 3.35336 | + | 12.5149i | 0.176249 | + | 0.657770i | ||||
\(363\) | −10.2985 | − | 3.86544i | −0.540529 | − | 0.202883i | ||||
\(364\) | 0.841807 | + | 2.10852i | 0.0441227 | + | 0.110517i | ||||
\(365\) | −16.9737 | − | 23.3624i | −0.888446 | − | 1.22284i | ||||
\(366\) | 5.19827 | − | 3.37579i | 0.271718 | − | 0.176456i | ||||
\(367\) | −2.94771 | − | 3.27377i | −0.153869 | − | 0.170889i | 0.661282 | − | 0.750138i | \(-0.270013\pi\) |
−0.815151 | + | 0.579248i | \(0.803346\pi\) | |||||||
\(368\) | 0.130146 | + | 0.0136789i | 0.00678432 | + | 0.000713061i | ||||
\(369\) | 1.33681 | + | 8.44030i | 0.0695917 | + | 0.439384i | ||||
\(370\) | −10.6926 | − | 6.94384i | −0.555881 | − | 0.360993i | ||||
\(371\) | −0.264311 | − | 5.04336i | −0.0137224 | − | 0.261838i | ||||
\(372\) | 12.0778 | + | 1.91294i | 0.626206 | + | 0.0991812i | ||||
\(373\) | 22.9717 | − | 13.2627i | 1.18943 | − | 0.686718i | 0.231253 | − | 0.972894i | \(-0.425717\pi\) |
0.958177 | + | 0.286176i | \(0.0923841\pi\) | |||||||
\(374\) | 1.41934 | + | 1.64935i | 0.0733922 | + | 0.0852860i | ||||
\(375\) | 11.7146 | − | 3.13891i | 0.604939 | − | 0.162093i | ||||
\(376\) | −1.56244 | + | 1.13518i | −0.0805766 | + | 0.0585424i | ||||
\(377\) | 5.84150 | + | 0.535331i | 0.300853 | + | 0.0275709i | ||||
\(378\) | 0.143686 | − | 0.442219i | 0.00739039 | − | 0.0227453i | ||||
\(379\) | −3.97229 | + | 10.3482i | −0.204043 | + | 0.531550i | −0.996972 | − | 0.0777641i | \(-0.975222\pi\) |
0.792929 | + | 0.609314i | \(0.208555\pi\) | |||||||
\(380\) | 1.57401 | + | 3.53528i | 0.0807449 | + | 0.181356i | ||||
\(381\) | −14.9960 | + | 3.18751i | −0.768271 | + | 0.163301i | ||||
\(382\) | 3.24653 | − | 6.37168i | 0.166107 | − | 0.326003i | ||||
\(383\) | 3.07464 | − | 1.18024i | 0.157107 | − | 0.0603077i | −0.278544 | − | 0.960424i | \(-0.589852\pi\) |
0.435651 | + | 0.900116i | \(0.356518\pi\) | |||||||
\(384\) | −6.29344 | − | 1.68632i | −0.321161 | − | 0.0860547i | ||||
\(385\) | 1.42379 | − | 2.64575i | 0.0725631 | − | 0.134840i | ||||
\(386\) | 1.67449 | + | 2.90030i | 0.0852291 | + | 0.147621i | ||||
\(387\) | −0.357486 | − | 3.40125i | −0.0181720 | − | 0.172895i | ||||
\(388\) | −1.04364 | − | 1.60706i | −0.0529827 | − | 0.0815862i | ||||
\(389\) | −8.59495 | − | 2.79267i | −0.435781 | − | 0.141594i | 0.0829071 | − | 0.996557i | \(-0.473580\pi\) |
−0.518688 | + | 0.854963i | \(0.673580\pi\) | |||||||
\(390\) | 5.57420 | − | 0.0743216i | 0.282261 | − | 0.00376342i | ||||
\(391\) | 0.429816 | − | 0.591591i | 0.0217367 | − | 0.0299181i | ||||
\(392\) | 1.00572 | − | 19.1903i | 0.0507965 | − | 0.969255i | ||||
\(393\) | −2.04633 | + | 9.62722i | −0.103224 | + | 0.485629i | ||||
\(394\) | 5.95377 | − | 13.3724i | 0.299947 | − | 0.673691i | ||||
\(395\) | −14.0925 | − | 14.0925i | −0.709072 | − | 0.709072i | ||||
\(396\) | −1.12210 | + | 3.84061i | −0.0563876 | + | 0.192998i | ||||
\(397\) | 1.53489 | − | 5.72828i | 0.0770338 | − | 0.287494i | −0.916653 | − | 0.399684i | \(-0.869120\pi\) |
0.993687 | + | 0.112190i | \(0.0357865\pi\) | |||||||
\(398\) | −1.78351 | + | 11.2606i | −0.0893993 | + | 0.564445i | ||||
\(399\) | −0.645498 | + | 0.716898i | −0.0323153 | + | 0.0358898i | ||||
\(400\) | −0.194686 | + | 0.175296i | −0.00973429 | + | 0.00876480i | ||||
\(401\) | −15.1883 | − | 5.83023i | −0.758466 | − | 0.291148i | −0.0517639 | − | 0.998659i | \(-0.516484\pi\) |
−0.706702 | + | 0.707512i | \(0.749818\pi\) | |||||||
\(402\) | −0.516616 | − | 0.375343i | −0.0257665 | − | 0.0187204i | ||||
\(403\) | −30.3826 | + | 20.3116i | −1.51346 | + | 1.01180i | ||||
\(404\) | −1.88543 | + | 0.612612i | −0.0938035 | + | 0.0304786i | ||||
\(405\) | 1.34881 | + | 1.09225i | 0.0670230 | + | 0.0542742i | ||||
\(406\) | 0.655135 | + | 0.378242i | 0.0325138 | + | 0.0187718i | ||||
\(407\) | −3.46872 | + | 27.1279i | −0.171938 | + | 1.34468i | ||||
\(408\) | 1.48751 | − | 1.48751i | 0.0736429 | − | 0.0736429i | ||||
\(409\) | −4.52579 | − | 11.7901i | −0.223786 | − | 0.582983i | 0.775015 | − | 0.631943i | \(-0.217742\pi\) |
−0.998801 | + | 0.0489606i | \(0.984409\pi\) | |||||||
\(410\) | −13.1945 | + | 0.691493i | −0.651628 | + | 0.0341504i | ||||
\(411\) | 9.61251 | − | 4.89782i | 0.474150 | − | 0.241592i | ||||
\(412\) | −0.214308 | + | 2.03901i | −0.0105582 | + | 0.100455i | ||||
\(413\) | −4.35592 | + | 1.93938i | −0.214341 | + | 0.0954306i | ||||
\(414\) | −0.883308 | − | 0.0462922i | −0.0434122 | − | 0.00227514i | ||||
\(415\) | −8.36848 | − | 25.7555i | −0.410793 | − | 1.26429i | ||||
\(416\) | 17.8518 | − | 9.39784i | 0.875259 | − | 0.460767i | ||||
\(417\) | 7.27201i | 0.356112i | ||||||||
\(418\) | −3.53097 | + | 4.16555i | −0.172705 | + | 0.203744i | ||||
\(419\) | −6.67817 | + | 11.5669i | −0.326250 | + | 0.565082i | −0.981765 | − | 0.190101i | \(-0.939118\pi\) |
0.655515 | + | 0.755183i | \(0.272452\pi\) | |||||||
\(420\) | −0.998391 | − | 0.444512i | −0.0487165 | − | 0.0216900i | ||||
\(421\) | 17.9842 | + | 9.16339i | 0.876495 | + | 0.446596i | 0.833526 | − | 0.552480i | \(-0.186318\pi\) |
0.0429686 | + | 0.999076i | \(0.486318\pi\) | |||||||
\(422\) | 1.39315 | − | 2.14527i | 0.0678177 | − | 0.104430i | ||||
\(423\) | 0.525448 | − | 0.425499i | 0.0255481 | − | 0.0206885i | ||||
\(424\) | −27.2976 | + | 4.32351i | −1.32569 | + | 0.209968i | ||||
\(425\) | 0.304360 | + | 1.43190i | 0.0147636 | + | 0.0694575i | ||||
\(426\) | −9.65610 | − | 2.05247i | −0.467839 | − | 0.0994423i | ||||
\(427\) | 2.28543 | − | 2.82227i | 0.110600 | − | 0.136579i | ||||
\(428\) | −7.80546 | −0.377291 | ||||||||
\(429\) | −5.33151 | − | 10.7040i | −0.257408 | − | 0.516793i | ||||
\(430\) | 5.28779 | 0.255000 | ||||||||
\(431\) | 3.46730 | − | 4.28176i | 0.167014 | − | 0.206245i | −0.686767 | − | 0.726878i | \(-0.740971\pi\) |
0.853781 | + | 0.520633i | \(0.174304\pi\) | |||||||
\(432\) | −0.128918 | − | 0.0274024i | −0.00620257 | − | 0.00131840i | ||||
\(433\) | −5.32227 | − | 25.0393i | −0.255772 | − | 1.20331i | −0.899108 | − | 0.437728i | \(-0.855783\pi\) |
0.643336 | − | 0.765584i | \(-0.277550\pi\) | |||||||
\(434\) | −4.65509 | + | 0.737294i | −0.223451 | + | 0.0353912i | ||||
\(435\) | −2.19442 | + | 1.77701i | −0.105215 | + | 0.0852010i | ||||
\(436\) | −5.79506 | + | 8.92362i | −0.277533 | + | 0.427364i | ||||
\(437\) | 1.63509 | + | 0.833119i | 0.0782169 | + | 0.0398535i | ||||
\(438\) | −13.5407 | − | 6.02871i | −0.647000 | − | 0.288063i | ||||
\(439\) | 15.9838 | − | 27.6847i | 0.762863 | − | 1.32132i | −0.178505 | − | 0.983939i | \(-0.557126\pi\) |
0.941369 | − | 0.337379i | \(-0.109540\pi\) | |||||||
\(440\) | −15.2141 | − | 6.23559i | −0.725302 | − | 0.297270i | ||||
\(441\) | 6.72757i | 0.320360i | ||||||||
\(442\) | −0.0922977 | + | 2.36374i | −0.00439015 | + | 0.112431i | ||||
\(443\) | −0.823779 | − | 2.53533i | −0.0391389 | − | 0.120457i | 0.929578 | − | 0.368625i | \(-0.120171\pi\) |
−0.968717 | + | 0.248168i | \(0.920171\pi\) | |||||||
\(444\) | 9.93430 | + | 0.520635i | 0.471461 | + | 0.0247082i | ||||
\(445\) | 16.7526 | − | 7.45872i | 0.794147 | − | 0.353577i | ||||
\(446\) | 1.47411 | − | 14.0252i | 0.0698009 | − | 0.664111i | ||||
\(447\) | −7.36252 | + | 3.75139i | −0.348235 | + | 0.177435i | ||||
\(448\) | 2.73555 | − | 0.143364i | 0.129243 | − | 0.00677332i | ||||
\(449\) | 0.103455 | + | 0.269510i | 0.00488236 | + | 0.0127190i | 0.936000 | − | 0.352000i | \(-0.114498\pi\) |
−0.931118 | + | 0.364719i | \(0.881165\pi\) | |||||||
\(450\) | 1.25210 | − | 1.25210i | 0.0590244 | − | 0.0590244i | ||||
\(451\) | 13.6164 | + | 24.8571i | 0.641172 | + | 1.17048i | ||||
\(452\) | −6.06606 | − | 3.50224i | −0.285323 | − | 0.164732i | ||||
\(453\) | −7.05502 | − | 5.71305i | −0.331474 | − | 0.268422i | ||||
\(454\) | 2.15411 | − | 0.699913i | 0.101097 | − | 0.0328485i | ||||
\(455\) | 3.09267 | − | 1.05065i | 0.144986 | − | 0.0492554i | ||||
\(456\) | 4.27100 | + | 3.10306i | 0.200008 | + | 0.145314i | ||||
\(457\) | 34.2835 | + | 13.1602i | 1.60372 | + | 0.615609i | 0.985390 | − | 0.170313i | \(-0.0544778\pi\) |
0.618326 | + | 0.785922i | \(0.287811\pi\) | |||||||
\(458\) | 13.1715 | − | 11.8597i | 0.615463 | − | 0.554165i | ||||
\(459\) | −0.492797 | + | 0.547307i | −0.0230018 | + | 0.0255461i | ||||
\(460\) | −0.325222 | + | 2.05337i | −0.0151635 | + | 0.0957388i | ||||
\(461\) | −1.89728 | + | 7.08073i | −0.0883650 | + | 0.329783i | −0.995930 | − | 0.0901287i | \(-0.971272\pi\) |
0.907565 | + | 0.419911i | \(0.137939\pi\) | |||||||
\(462\) | −0.0461103 | − | 1.54146i | −0.00214524 | − | 0.0717154i | ||||
\(463\) | −7.50822 | − | 7.50822i | −0.348937 | − | 0.348937i | 0.510777 | − | 0.859713i | \(-0.329358\pi\) |
−0.859713 | + | 0.510777i | \(0.829358\pi\) | |||||||
\(464\) | 0.0872150 | − | 0.195888i | 0.00404886 | − | 0.00909388i | ||||
\(465\) | 3.65767 | − | 17.2080i | 0.169620 | − | 0.798002i | ||||
\(466\) | −0.747352 | + | 14.2603i | −0.0346204 | + | 0.660597i | ||||
\(467\) | 1.45763 | − | 2.00626i | 0.0674513 | − | 0.0928387i | −0.773959 | − | 0.633236i | \(-0.781726\pi\) |
0.841410 | + | 0.540398i | \(0.181726\pi\) | |||||||
\(468\) | −3.73765 | + | 2.22490i | −0.172773 | + | 0.102846i | ||||
\(469\) | −0.355833 | − | 0.115617i | −0.0164308 | − | 0.00533870i | ||||
\(470\) | 0.569358 | + | 0.876734i | 0.0262625 | + | 0.0404407i | ||||
\(471\) | 1.11886 | + | 10.6453i | 0.0515544 | + | 0.490508i | ||||
\(472\) | 13.0469 | + | 22.5979i | 0.600532 | + | 1.04015i | ||||
\(473\) | −4.92131 | − | 10.2196i | −0.226282 | − | 0.469898i | ||||
\(474\) | −9.88098 | − | 2.64760i | −0.453848 | − | 0.121608i | ||||
\(475\) | −3.42971 | + | 1.31654i | −0.157366 | + | 0.0604071i | ||||
\(476\) | 0.210536 | − | 0.413200i | 0.00964989 | − | 0.0189390i | ||||
\(477\) | 9.46433 | − | 2.01171i | 0.433342 | − | 0.0921097i | ||||
\(478\) | 0.966315 | + | 2.17038i | 0.0441982 | + | 0.0992709i | ||||
\(479\) | 4.58293 | − | 11.9389i | 0.209399 | − | 0.545504i | −0.788149 | − | 0.615484i | \(-0.788960\pi\) |
0.997548 | + | 0.0699805i | \(0.0222937\pi\) | |||||||
\(480\) | −3.00096 | + | 9.23602i | −0.136975 | + | 0.421565i | ||||
\(481\) | −22.8540 | + | 19.0169i | −1.04205 | + | 0.867094i | ||||
\(482\) | 6.38952 | − | 4.64225i | 0.291034 | − | 0.211449i | ||||
\(483\) | −0.500589 | + | 0.134132i | −0.0227776 | + | 0.00610323i | ||||
\(484\) | 0.793213 | + | 13.2467i | 0.0360552 | + | 0.602122i | ||||
\(485\) | −2.38742 | + | 1.37838i | −0.108407 | + | 0.0625890i | ||||
\(486\) | 0.879874 | + | 0.139358i | 0.0399119 | + | 0.00632143i | ||||
\(487\) | 1.95144 | + | 37.2356i | 0.0884280 | + | 1.68731i | 0.578545 | + | 0.815651i | \(0.303621\pi\) |
−0.490117 | + | 0.871657i | \(0.663046\pi\) | |||||||
\(488\) | −16.6677 | − | 10.8241i | −0.754512 | − | 0.489986i | ||||
\(489\) | 2.62144 | + | 16.5511i | 0.118546 | + | 0.748467i | ||||
\(490\) | −10.3448 | − | 1.08728i | −0.467330 | − | 0.0491184i | ||||
\(491\) | −5.69280 | − | 6.32250i | −0.256913 | − | 0.285330i | 0.600866 | − | 0.799350i | \(-0.294823\pi\) |
−0.857778 | + | 0.514020i | \(0.828156\pi\) | |||||||
\(492\) | 8.64611 | − | 5.61485i | 0.389797 | − | 0.253137i | ||||
\(493\) | −0.704279 | − | 0.969357i | −0.0317191 | − | 0.0436577i | ||||
\(494\) | −5.89512 | + | 0.699183i | −0.265234 | + | 0.0314577i | ||||
\(495\) | 5.43327 | + | 1.90128i | 0.244207 | + | 0.0854561i | ||||
\(496\) | 0.345766 | + | 1.29042i | 0.0155254 | + | 0.0579414i | ||||
\(497\) | −5.75229 | + | 0.604590i | −0.258026 | + | 0.0271196i | ||||
\(498\) | −10.3297 | − | 9.30095i | −0.462887 | − | 0.416785i | ||||
\(499\) | 6.84909 | + | 13.4421i | 0.306608 | + | 0.601751i | 0.991973 | − | 0.126448i | \(-0.0403577\pi\) |
−0.685366 | + | 0.728199i | \(0.740358\pi\) | |||||||
\(500\) | −9.20760 | − | 11.3704i | −0.411776 | − | 0.508502i | ||||
\(501\) | 8.62179 | + | 10.6470i | 0.385193 | + | 0.475674i | ||||
\(502\) | −8.64520 | − | 16.9672i | −0.385854 | − | 0.757282i | ||||
\(503\) | −12.7365 | − | 11.4680i | −0.567895 | − | 0.511335i | 0.334413 | − | 0.942426i | \(-0.391462\pi\) |
−0.902308 | + | 0.431092i | \(0.858128\pi\) | |||||||
\(504\) | −1.48273 | + | 0.155842i | −0.0660462 | + | 0.00694174i | ||||
\(505\) | 0.738171 | + | 2.75489i | 0.0328482 | + | 0.122591i | ||||
\(506\) | −2.80969 | + | 0.843664i | −0.124906 | + | 0.0375054i | ||||
\(507\) | 3.68616 | − | 12.4664i | 0.163708 | − | 0.553654i | ||||
\(508\) | 10.8713 | + | 14.9631i | 0.482337 | + | 0.663880i | ||||
\(509\) | 15.7051 | − | 10.1990i | 0.696117 | − | 0.452064i | −0.147463 | − | 0.989068i | \(-0.547111\pi\) |
0.843580 | + | 0.537004i | \(0.180444\pi\) | |||||||
\(510\) | −0.761935 | − | 0.846214i | −0.0337390 | − | 0.0374710i | ||||
\(511\) | −8.63684 | − | 0.907768i | −0.382071 | − | 0.0401573i | ||||
\(512\) | −0.233149 | − | 1.47205i | −0.0103038 | − | 0.0650559i | ||||
\(513\) | −1.55005 | − | 1.00661i | −0.0684363 | − | 0.0444430i | ||||
\(514\) | 0.950835 | + | 18.1430i | 0.0419395 | + | 0.800254i | ||||
\(515\) | 2.91328 | + | 0.461418i | 0.128374 | + | 0.0203325i | ||||
\(516\) | −3.57311 | + | 2.06294i | −0.157298 | + | 0.0908158i | ||||
\(517\) | 1.16455 | − | 1.91636i | 0.0512168 | − | 0.0842812i | ||||
\(518\) | −3.70353 | + | 0.992359i | −0.162724 | + | 0.0436017i | ||||
\(519\) | 8.59591 | − | 6.24529i | 0.377319 | − | 0.274138i | ||||
\(520\) | −7.48735 | − | 16.2310i | −0.328342 | − | 0.711776i | ||||
\(521\) | 3.31697 | − | 10.2086i | 0.145319 | − | 0.447247i | −0.851733 | − | 0.523977i | \(-0.824448\pi\) |
0.997052 | + | 0.0767300i | \(0.0244479\pi\) | |||||||
\(522\) | −0.519396 | + | 1.35307i | −0.0227334 | + | 0.0592224i | ||||
\(523\) | 12.9665 | + | 29.1232i | 0.566985 | + | 1.27347i | 0.938576 | + | 0.345073i | \(0.112146\pi\) |
−0.371591 | + | 0.928397i | \(0.621188\pi\) | |||||||
\(524\) | 11.6143 | − | 2.46869i | 0.507372 | − | 0.107845i | ||||
\(525\) | 0.471009 | − | 0.924407i | 0.0205565 | − | 0.0403444i | ||||
\(526\) | 12.6567 | − | 4.85846i | 0.551859 | − | 0.211839i | ||||
\(527\) | 7.21071 | + | 1.93210i | 0.314104 | + | 0.0841638i | ||||
\(528\) | −0.433170 | + | 0.0586700i | −0.0188513 | + | 0.00255328i | ||||
\(529\) | −11.0071 | − | 19.0648i | −0.478568 | − | 0.828905i | ||||
\(530\) | 1.56376 | + | 14.8782i | 0.0679253 | + | 0.646266i | ||||
\(531\) | −4.97540 | − | 7.66144i | −0.215914 | − | 0.332478i | ||||
\(532\) | 1.10683 | + | 0.359631i | 0.0479872 | + | 0.0155920i | ||||
\(533\) | −7.57706 | + | 29.8651i | −0.328199 | + | 1.29360i | ||||
\(534\) | 5.53250 | − | 7.61483i | 0.239415 | − | 0.329526i | ||||
\(535\) | −0.587700 | + | 11.2140i | −0.0254085 | + | 0.484823i | ||||
\(536\) | −0.425703 | + | 2.00277i | −0.0183876 | + | 0.0865067i | ||||
\(537\) | 5.20157 | − | 11.6829i | 0.224464 | − | 0.504155i | ||||
\(538\) | 0.670952 | + | 0.670952i | 0.0289268 | + | 0.0289268i | ||||
\(539\) | 7.52645 | + | 21.0051i | 0.324187 | + | 0.904754i | ||||
\(540\) | 0.541922 | − | 2.02248i | 0.0233206 | − | 0.0870336i | ||||
\(541\) | −1.25593 | + | 7.92966i | −0.0539968 | + | 0.340923i | 0.945869 | + | 0.324548i | \(0.105212\pi\) |
−0.999866 | + | 0.0163742i | \(0.994788\pi\) | |||||||
\(542\) | 13.9417 | − | 15.4838i | 0.598846 | − | 0.665086i | ||||
\(543\) | −10.8083 | + | 9.73183i | −0.463828 | + | 0.417633i | ||||
\(544\) | −3.84715 | − | 1.47678i | −0.164945 | − | 0.0633165i | ||||
\(545\) | 12.3841 | + | 8.99758i | 0.530477 | + | 0.385414i | ||||
\(546\) | 1.10509 | − | 1.26072i | 0.0472933 | − | 0.0539540i | ||||
\(547\) | −15.2344 | + | 4.94996i | −0.651377 | + | 0.211645i | −0.616021 | − | 0.787730i | \(-0.711256\pi\) |
−0.0353556 | + | 0.999375i | \(0.511256\pi\) | |||||||
\(548\) | −10.1146 | − | 8.19066i | −0.432076 | − | 0.349888i | ||||
\(549\) | 6.02555 | + | 3.47886i | 0.257164 | + | 0.148474i | ||||
\(550\) | 2.50857 | − | 5.31013i | 0.106966 | − | 0.226425i | ||||
\(551\) | 2.12622 | − | 2.12622i | 0.0905799 | − | 0.0905799i | ||||
\(552\) | 1.01638 | + | 2.64775i | 0.0432598 | + | 0.112696i | ||||
\(553\) | −5.98536 | + | 0.313679i | −0.254523 | + | 0.0133390i | ||||
\(554\) | 1.00720 | − | 0.513196i | 0.0427920 | − | 0.0218036i | ||||
\(555\) | 1.49598 | − | 14.2333i | 0.0635007 | − | 0.604168i | ||||
\(556\) | 8.01450 | − | 3.56828i | 0.339890 | − | 0.151329i | ||||
\(557\) | 31.6069 | + | 1.65645i | 1.33923 | + | 0.0701858i | 0.708440 | − | 0.705771i | \(-0.249399\pi\) |
0.630786 | + | 0.775957i | \(0.282733\pi\) | |||||||
\(558\) | −2.79036 | − | 8.58784i | −0.118125 | − | 0.363552i | ||||
\(559\) | 3.65378 | − | 11.7772i | 0.154539 | − | 0.498122i | ||||
\(560\) | − | 0.119396i | − | 0.00504538i | ||||||
\(561\) | −0.926334 | + | 2.26014i | −0.0391099 | + | 0.0954232i | ||||
\(562\) | 10.9647 | − | 18.9913i | 0.462516 | − | 0.801101i | ||||
\(563\) | −38.7204 | − | 17.2394i | −1.63187 | − | 0.726556i | −0.633004 | − | 0.774148i | \(-0.718179\pi\) |
−0.998867 | + | 0.0475922i | \(0.984845\pi\) | |||||||
\(564\) | −0.726774 | − | 0.370310i | −0.0306027 | − | 0.0155929i | ||||
\(565\) | −5.48835 | + | 8.45132i | −0.230897 | + | 0.355550i | ||||
\(566\) | −10.6984 | + | 8.66341i | −0.449688 | + | 0.364150i | ||||
\(567\) | 0.515526 | − | 0.0816512i | 0.0216500 | − | 0.00342903i | ||||
\(568\) | 6.58103 | + | 30.9613i | 0.276134 | + | 1.29911i | ||||
\(569\) | 3.57818 | + | 0.760565i | 0.150005 | + | 0.0318845i | 0.282302 | − | 0.959326i | \(-0.408902\pi\) |
−0.132297 | + | 0.991210i | \(0.542235\pi\) | |||||||
\(570\) | 1.79835 | − | 2.22078i | 0.0753247 | − | 0.0930183i | ||||
\(571\) | 16.3860 | 0.685732 | 0.342866 | − | 0.939384i | \(-0.388602\pi\) | ||||
0.342866 | + | 0.939384i | \(0.388602\pi\) | |||||||
\(572\) | −9.18076 | + | 11.1282i | −0.383867 | + | 0.465292i | ||||
\(573\) | 8.02735 | 0.335347 | ||||||||
\(574\) | −2.50058 | + | 3.08796i | −0.104372 | + | 0.128889i | ||||
\(575\) | −1.93047 | − | 0.410334i | −0.0805062 | − | 0.0171121i | ||||
\(576\) | 1.09116 | + | 5.13351i | 0.0454651 | + | 0.213896i | ||||
\(577\) | 8.88106 | − | 1.40662i | 0.369723 | − | 0.0585584i | 0.0311916 | − | 0.999513i | \(-0.490070\pi\) |
0.338532 | + | 0.940955i | \(0.390070\pi\) | |||||||
\(578\) | −11.3938 | + | 9.22655i | −0.473921 | + | 0.383774i | ||||
\(579\) | −2.04748 | + | 3.15284i | −0.0850904 | + | 0.131028i | ||||
\(580\) | 3.03522 | + | 1.54652i | 0.126031 | + | 0.0642158i | ||||
\(581\) | −7.44005 | − | 3.31252i | −0.308665 | − | 0.137427i | ||||
\(582\) | −0.707491 | + | 1.22541i | −0.0293264 | + | 0.0507949i | ||||
\(583\) | 27.2994 | − | 16.8692i | 1.13062 | − | 0.698653i | ||||
\(584\) | 47.5257i | 1.96663i | ||||||||
\(585\) | 2.91506 | + | 5.53735i | 0.120523 | + | 0.228941i | ||||
\(586\) | 2.04573 | + | 6.29612i | 0.0845085 | + | 0.260090i | ||||
\(587\) | −25.4131 | − | 1.33184i | −1.04891 | − | 0.0549711i | −0.479918 | − | 0.877313i | \(-0.659334\pi\) |
−0.568993 | + | 0.822342i | \(0.692667\pi\) | |||||||
\(588\) | 7.41446 | − | 3.30113i | 0.305767 | − | 0.136136i | ||||
\(589\) | −1.95824 | + | 18.6314i | −0.0806877 | + | 0.767693i | ||||
\(590\) | 12.5849 | − | 6.41232i | 0.518112 | − | 0.263991i | ||||
\(591\) | 16.4090 | − | 0.859960i | 0.674977 | − | 0.0353740i | ||||
\(592\) | 0.389475 | + | 1.01462i | 0.0160073 | + | 0.0417005i | ||||
\(593\) | 3.13477 | − | 3.13477i | 0.128730 | − | 0.128730i | −0.639806 | − | 0.768536i | \(-0.720985\pi\) |
0.768536 | + | 0.639806i | \(0.220985\pi\) | |||||||
\(594\) | 2.90309 | − | 0.549247i | 0.119115 | − | 0.0225359i | ||||
\(595\) | −0.577786 | − | 0.333585i | −0.0236869 | − | 0.0136757i | ||||
\(596\) | 7.74711 | + | 6.27349i | 0.317334 | + | 0.256972i | ||||
\(597\) | −12.1716 | + | 3.95480i | −0.498151 | + | 0.161859i | ||||
\(598\) | −2.86063 | − | 1.40985i | −0.116980 | − | 0.0576529i | ||||
\(599\) | 20.2633 | + | 14.7222i | 0.827937 | + | 0.601532i | 0.918975 | − | 0.394316i | \(-0.129018\pi\) |
−0.0910378 | + | 0.995847i | \(0.529018\pi\) | |||||||
\(600\) | −5.30056 | − | 2.03470i | −0.216395 | − | 0.0830661i | ||||
\(601\) | 12.5640 | − | 11.3126i | 0.512495 | − | 0.461452i | −0.371846 | − | 0.928294i | \(-0.621275\pi\) |
0.884341 | + | 0.466842i | \(0.154608\pi\) | |||||||
\(602\) | 1.06406 | − | 1.18176i | 0.0433679 | − | 0.0481649i | ||||
\(603\) | 0.112135 | − | 0.707993i | 0.00456650 | − | 0.0288317i | ||||
\(604\) | −2.83455 | + | 10.5787i | −0.115336 | + | 0.430440i | ||||
\(605\) | 19.0910 | − | 0.142210i | 0.776161 | − | 0.00578165i | ||||
\(606\) | 1.03514 | + | 1.03514i | 0.0420496 | + | 0.0420496i | ||||
\(607\) | −6.68153 | + | 15.0070i | −0.271195 | + | 0.609113i | −0.996882 | − | 0.0789117i | \(-0.974855\pi\) |
0.725687 | + | 0.688025i | \(0.241522\pi\) | |||||||
\(608\) | 2.15012 | − | 10.1155i | 0.0871988 | − | 0.410238i | ||||
\(609\) | −0.0444426 | + | 0.848015i | −0.00180090 | + | 0.0343633i | ||||
\(610\) | −6.32317 | + | 8.70309i | −0.256018 | + | 0.352378i | ||||
\(611\) | 2.34612 | − | 0.662287i | 0.0949137 | − | 0.0267933i | ||||
\(612\) | 0.844997 | + | 0.274556i | 0.0341570 | + | 0.0110983i | ||||
\(613\) | 4.82157 | + | 7.42456i | 0.194741 | + | 0.299875i | 0.922529 | − | 0.385927i | \(-0.126118\pi\) |
−0.727788 | + | 0.685802i | \(0.759452\pi\) | |||||||
\(614\) | −0.650215 | − | 6.18638i | −0.0262405 | − | 0.249662i | ||||
\(615\) | −7.41578 | − | 12.8445i | −0.299033 | − | 0.517940i | ||||
\(616\) | −4.45511 | + | 2.14538i | −0.179501 | + | 0.0864399i | ||||
\(617\) | −1.54694 | − | 0.414502i | −0.0622775 | − | 0.0166872i | 0.227546 | − | 0.973767i | \(-0.426930\pi\) |
−0.289823 | + | 0.957080i | \(0.593597\pi\) | |||||||
\(618\) | 1.41340 | − | 0.542554i | 0.0568554 | − | 0.0218247i | ||||
\(619\) | 15.1032 | − | 29.6416i | 0.607047 | − | 1.19140i | −0.359074 | − | 0.933309i | \(-0.616908\pi\) |
0.966121 | − | 0.258088i | \(-0.0830924\pi\) | |||||||
\(620\) | −20.7597 | + | 4.41262i | −0.833731 | + | 0.177215i | ||||
\(621\) | −0.403850 | − | 0.907062i | −0.0162059 | − | 0.0363991i | ||||
\(622\) | −10.1282 | + | 26.3848i | −0.406103 | + | 1.05793i | ||||
\(623\) | 1.70418 | − | 5.24492i | 0.0682764 | − | 0.210133i | ||||
\(624\) | −0.388138 | − | 0.274168i | −0.0155380 | − | 0.0109755i | ||||
\(625\) | −8.98859 | + | 6.53059i | −0.359544 | + | 0.261224i | ||||
\(626\) | 5.51496 | − | 1.47773i | 0.220422 | − | 0.0590619i | ||||
\(627\) | −5.96577 | − | 1.40878i | −0.238250 | − | 0.0562611i | ||||
\(628\) | 11.1831 | − | 6.45659i | 0.446256 | − | 0.257646i | ||||
\(629\) | 5.99817 | + | 0.950017i | 0.239163 | + | 0.0378796i | ||||
\(630\) | 0.0422357 | + | 0.805906i | 0.00168271 | + | 0.0321081i | ||||
\(631\) | 9.43658 | + | 6.12819i | 0.375664 | + | 0.243959i | 0.718636 | − | 0.695387i | \(-0.244767\pi\) |
−0.342972 | + | 0.939346i | \(0.611433\pi\) | |||||||
\(632\) | 5.13105 | + | 32.3962i | 0.204102 | + | 1.28865i | ||||
\(633\) | 2.85564 | + | 0.300140i | 0.113502 | + | 0.0119295i | ||||
\(634\) | −20.0704 | − | 22.2904i | −0.797095 | − | 0.885264i | ||||
\(635\) | 22.3158 | − | 14.4921i | 0.885576 | − | 0.575099i | ||||
\(636\) | −6.86113 | − | 9.44354i | −0.272062 | − | 0.374461i | ||||
\(637\) | −9.56974 | + | 22.2891i | −0.379167 | + | 0.883125i | ||||
\(638\) | −0.107932 | + | 4.80570i | −0.00427309 | + | 0.190259i | ||||
\(639\) | −2.86809 | − | 10.7039i | −0.113460 | − | 0.423438i | ||||
\(640\) | 11.2462 | − | 1.18203i | 0.444547 | − | 0.0467237i | ||||
\(641\) | 19.2256 | + | 17.3108i | 0.759364 | + | 0.683735i | 0.954889 | − | 0.296964i | \(-0.0959742\pi\) |
−0.195524 | + | 0.980699i | \(0.562641\pi\) | |||||||
\(642\) | 2.61670 | + | 5.13557i | 0.103273 | + | 0.202685i | ||||
\(643\) | 10.2465 | + | 12.6534i | 0.404084 | + | 0.499002i | 0.938048 | − | 0.346505i | \(-0.112632\pi\) |
−0.533964 | + | 0.845507i | \(0.679298\pi\) | |||||||
\(644\) | 0.393460 | + | 0.485882i | 0.0155045 | + | 0.0191464i | ||||
\(645\) | 2.69476 | + | 5.28877i | 0.106106 | + | 0.208245i | ||||
\(646\) | 0.901125 | + | 0.811377i | 0.0354543 | + | 0.0319232i | ||||
\(647\) | 11.3040 | − | 1.18810i | 0.444406 | − | 0.0467090i | 0.120317 | − | 0.992736i | \(-0.461609\pi\) |
0.324089 | + | 0.946027i | \(0.394942\pi\) | |||||||
\(648\) | −0.739290 | − | 2.75907i | −0.0290420 | − | 0.108386i | ||||
\(649\) | −24.1056 | − | 18.3547i | −0.946228 | − | 0.720483i | ||||
\(650\) | 5.92938 | − | 2.36725i | 0.232569 | − | 0.0928511i | ||||
\(651\) | −3.10975 | − | 4.28021i | −0.121881 | − | 0.167755i | ||||
\(652\) | 16.9547 | − | 11.0105i | 0.663997 | − | 0.431205i | ||||
\(653\) | −18.8196 | − | 20.9013i | −0.736470 | − | 0.817932i | 0.252258 | − | 0.967660i | \(-0.418827\pi\) |
−0.988727 | + | 0.149728i | \(0.952160\pi\) | |||||||
\(654\) | 7.81400 | + | 0.821284i | 0.305551 | + | 0.0321147i | ||||
\(655\) | −2.67225 | − | 16.8719i | −0.104414 | − | 0.659241i | ||||
\(656\) | 0.944579 | + | 0.613417i | 0.0368796 | + | 0.0239499i | ||||
\(657\) | −0.870784 | − | 16.6155i | −0.0339725 | − | 0.648234i | ||||
\(658\) | 0.310512 | + | 0.0491802i | 0.0121050 | + | 0.00191724i | ||||
\(659\) | −37.2506 | + | 21.5067i | −1.45108 | + | 0.837780i | −0.998543 | − | 0.0539660i | \(-0.982814\pi\) |
−0.452535 | + | 0.891746i | \(0.649480\pi\) | |||||||
\(660\) | −0.570634 | − | 6.92094i | −0.0222119 | − | 0.269397i | ||||
\(661\) | −40.1944 | + | 10.7700i | −1.56338 | + | 0.418906i | −0.933731 | − | 0.357975i | \(-0.883467\pi\) |
−0.629648 | + | 0.776881i | \(0.716801\pi\) | |||||||
\(662\) | −12.4411 | + | 9.03902i | −0.483539 | + | 0.351312i | ||||
\(663\) | −2.41121 | + | 1.11229i | −0.0936436 | + | 0.0431978i | ||||
\(664\) | −13.7726 | + | 42.3877i | −0.534481 | + | 1.64496i | ||||
\(665\) | 0.600015 | − | 1.56309i | 0.0232676 | − | 0.0606141i | ||||
\(666\) | −2.98783 | − | 6.71077i | −0.115776 | − | 0.260037i | ||||
\(667\) | 1.58008 | − | 0.335857i | 0.0611811 | − | 0.0130044i | ||||
\(668\) | 7.50350 | − | 14.7264i | 0.290319 | − | 0.569783i | ||||
\(669\) | 14.7790 | − | 5.67312i | 0.571389 | − | 0.219336i | ||||
\(670\) | 1.07054 | + | 0.286850i | 0.0413585 | + | 0.0110820i | ||||
\(671\) | 22.7052 | + | 4.12075i | 0.876525 | + | 0.159080i | ||||
\(672\) | 1.46026 | + | 2.52924i | 0.0563307 | + | 0.0975677i | ||||
\(673\) | 3.95855 | + | 37.6631i | 0.152591 | + | 1.45180i | 0.756104 | + | 0.654451i | \(0.227100\pi\) |
−0.603513 | + | 0.797353i | \(0.706233\pi\) | |||||||
\(674\) | 3.47830 | + | 5.35612i | 0.133979 | + | 0.206310i | ||||
\(675\) | 1.89042 | + | 0.614234i | 0.0727623 | + | 0.0236419i | ||||
\(676\) | −15.5480 | + | 2.05461i | −0.598001 | + | 0.0790233i | ||||
\(677\) | −29.1500 | + | 40.1215i | −1.12032 | + | 1.54199i | −0.315065 | + | 0.949070i | \(0.602026\pi\) |
−0.805259 | + | 0.592923i | \(0.797974\pi\) | |||||||
\(678\) | −0.270698 | + | 5.16523i | −0.0103961 | + | 0.198369i | ||||
\(679\) | −0.172369 | + | 0.810932i | −0.00661492 | + | 0.0311207i | ||||
\(680\) | −1.48504 | + | 3.33545i | −0.0569487 | + | 0.127909i | ||||
\(681\) | 1.79782 | + | 1.79782i | 0.0688925 | + | 0.0688925i | ||||
\(682\) | −18.3198 | − | 23.6916i | −0.701502 | − | 0.907199i | ||||
\(683\) | 6.93003 | − | 25.8632i | 0.265170 | − | 0.989629i | −0.696976 | − | 0.717095i | \(-0.745472\pi\) |
0.962146 | − | 0.272534i | \(-0.0878618\pi\) | |||||||
\(684\) | −0.348801 | + | 2.20224i | −0.0133367 | + | 0.0842048i | ||||
\(685\) | −12.5290 | + | 13.9148i | −0.478708 | + | 0.531659i | ||||
\(686\) | −4.74349 | + | 4.27106i | −0.181107 | + | 0.163070i | ||||
\(687\) | 18.5743 | + | 7.13000i | 0.708653 | + | 0.272027i | ||||
\(688\) | −0.364663 | − | 0.264943i | −0.0139026 | − | 0.0101009i | ||||
\(689\) | 34.2178 | + | 6.79772i | 1.30359 | + | 0.258973i | ||||
\(690\) | 1.46003 | − | 0.474394i | 0.0555825 | − | 0.0180599i | ||||
\(691\) | 26.8608 | + | 21.7515i | 1.02183 | + | 0.827465i | 0.985121 | − | 0.171860i | \(-0.0549778\pi\) |
0.0367133 | + | 0.999326i | \(0.488311\pi\) | |||||||
\(692\) | −11.1008 | − | 6.40908i | −0.421991 | − | 0.243637i | ||||
\(693\) | 1.51825 | − | 0.831678i | 0.0576735 | − | 0.0315929i | ||||
\(694\) | −5.24429 | + | 5.24429i | −0.199070 | + | 0.199070i | ||||
\(695\) | −4.52306 | − | 11.7830i | −0.171570 | − | 0.446954i | ||||
\(696\) | 4.64079 | − | 0.243213i | 0.175909 | − | 0.00921898i | ||||
\(697\) | 5.60759 | − | 2.85721i | 0.212403 | − | 0.108225i | ||||
\(698\) | 2.20420 | − | 20.9716i | 0.0834302 | − | 0.793786i | ||||
\(699\) | −14.6438 | + | 6.51985i | −0.553880 | + | 0.246603i | ||||
\(700\) | −1.24991 | − | 0.0655049i | −0.0472421 | − | 0.00247585i | ||||
\(701\) | −0.872066 | − | 2.68394i | −0.0329375 | − | 0.101371i | 0.933236 | − | 0.359263i | \(-0.116972\pi\) |
−0.966174 | + | 0.257892i | \(0.916972\pi\) | |||||||
\(702\) | 2.71687 | + | 1.71330i | 0.102542 | + | 0.0646643i | ||||
\(703\) | 15.2404i | 0.574801i | ||||||||
\(704\) | 9.14998 | + | 14.8073i | 0.344853 | + | 0.558073i | ||||
\(705\) | −0.586740 | + | 1.01626i | −0.0220979 | + | 0.0382747i | ||||
\(706\) | 25.7086 | + | 11.4462i | 0.967558 | + | 0.430784i | ||||
\(707\) | 0.764228 | + | 0.389394i | 0.0287418 | + | 0.0146447i | ||||
\(708\) | −6.00232 | + | 9.24276i | −0.225581 | + | 0.347364i | ||||
\(709\) | 20.4718 | − | 16.5777i | 0.768835 | − | 0.622590i | −0.162519 | − | 0.986705i | \(-0.551962\pi\) |
0.931354 | + | 0.364115i | \(0.118629\pi\) | |||||||
\(710\) | 16.9226 | − | 2.68027i | 0.635092 | − | 0.100589i | ||||
\(711\) | −2.38745 | − | 11.2321i | −0.0895364 | − | 0.421235i | ||||
\(712\) | −29.5206 | − | 6.27479i | −1.10633 | − | 0.235158i | ||||
\(713\) | −6.33367 | + | 7.82144i | −0.237198 | + | 0.292915i | ||||
\(714\) | −0.342443 | −0.0128156 | ||||||||
\(715\) | 15.2964 | + | 14.0277i | 0.572054 | + | 0.524608i | ||||
\(716\) | −15.4281 | −0.576575 | ||||||||
\(717\) | −1.67833 | + | 2.07256i | −0.0626783 | + | 0.0774012i | ||||
\(718\) | 9.98986 | + | 2.12341i | 0.372818 | + | 0.0792449i | ||||
\(719\) | −10.8465 | − | 51.0287i | −0.404506 | − | 1.90305i | −0.428910 | − | 0.903347i | \(-0.641102\pi\) |
0.0244043 | − | 0.999702i | \(-0.492231\pi\) | |||||||
\(720\) | 0.225932 | − | 0.0357841i | 0.00841999 | − | 0.00133360i | ||||
\(721\) | 0.689360 | − | 0.558233i | 0.0256731 | − | 0.0207897i | ||||
\(722\) | 7.56120 | − | 11.6432i | 0.281399 | − | 0.433316i | ||||
\(723\) | 7.89933 | + | 4.02491i | 0.293779 | + | 0.149688i | ||||
\(724\) | 16.0290 | + | 7.13655i | 0.595711 | + | 0.265228i | ||||
\(725\) | −1.61693 | + | 2.80060i | −0.0600512 | + | 0.104012i | ||||
\(726\) | 8.44968 | − | 4.96271i | 0.313597 | − | 0.184183i | ||||
\(727\) | 27.5739i | 1.02266i | 0.859385 | + | 0.511329i | \(0.170847\pi\) | ||||
−0.859385 | + | 0.511329i | \(0.829153\pi\) | |||||||
\(728\) | −5.13412 | − | 1.59282i | −0.190283 | − | 0.0590339i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 25.6900 | + | 1.34636i | 0.950829 | + | 0.0498309i | ||||
\(731\) | −2.30098 | + | 1.02446i | −0.0851047 | + | 0.0378911i | ||||
\(732\) | 0.877389 | − | 8.34780i | 0.0324292 | − | 0.308544i | ||||
\(733\) | 1.09357 | − | 0.557201i | 0.0403919 | − | 0.0205807i | −0.433678 | − | 0.901068i | \(-0.642784\pi\) |
0.474070 | + | 0.880487i | \(0.342784\pi\) | |||||||
\(734\) | 3.91904 | − | 0.205388i | 0.144654 | − | 0.00758102i | ||||
\(735\) | −4.18443 | − | 10.9008i | −0.154345 | − | 0.402082i | ||||
\(736\) | 3.92845 | − | 3.92845i | 0.144805 | − | 0.144805i | ||||
\(737\) | −0.441953 | − | 2.33598i | −0.0162796 | − | 0.0860469i | ||||
\(738\) | −6.59279 | − | 3.80635i | −0.242684 | − | 0.140114i | ||||
\(739\) | −25.9490 | − | 21.0131i | −0.954550 | − | 0.772980i | 0.0193835 | − | 0.999812i | \(-0.493830\pi\) |
−0.973934 | + | 0.226833i | \(0.927163\pi\) | |||||||
\(740\) | −16.4206 | + | 5.33536i | −0.603632 | + | 0.196132i | ||||
\(741\) | −3.70358 | − | 5.53989i | −0.136054 | − | 0.203513i | ||||
\(742\) | 3.63977 | + | 2.64445i | 0.133620 | + | 0.0970808i | ||||
\(743\) | −40.4145 | − | 15.5137i | −1.48266 | − | 0.569141i | −0.523507 | − | 0.852021i | \(-0.675377\pi\) |
−0.959155 | + | 0.282880i | \(0.908710\pi\) | |||||||
\(744\) | −21.5164 | + | 19.3734i | −0.788828 | + | 0.710264i | ||||
\(745\) | 9.59634 | − | 10.6578i | 0.351583 | − | 0.390472i | ||||
\(746\) | −3.69655 | + | 23.3391i | −0.135340 | + | 0.854504i | ||||
\(747\) | 4.03842 | − | 15.0716i | 0.147758 | − | 0.551441i | ||||
\(748\) | 2.94545 | − | 0.0881080i | 0.107696 | − | 0.00322155i | ||||
\(749\) | 2.38793 | + | 2.38793i | 0.0872532 | + | 0.0872532i | ||||
\(750\) | −4.39438 | + | 9.86993i | −0.160460 | + | 0.360399i | ||||
\(751\) | −2.07645 | + | 9.76892i | −0.0757707 | + | 0.356473i | −0.999657 | − | 0.0261943i | \(-0.991661\pi\) |
0.923886 | + | 0.382667i | \(0.124994\pi\) | |||||||
\(752\) | 0.00466376 | − | 0.0889899i | 0.000170070 | − | 0.00324513i | ||||
\(753\) | 12.5645 | − | 17.2936i | 0.457877 | − | 0.630214i | ||||
\(754\) | −3.64551 | + | 3.74404i | −0.132762 | + | 0.136350i | ||||
\(755\) | 14.9848 | + | 4.86886i | 0.545353 | + | 0.177196i | ||||
\(756\) | −0.342950 | − | 0.528096i | −0.0124730 | − | 0.0192067i | ||||
\(757\) | −4.43655 | − | 42.2110i | −0.161249 | − | 1.53418i | −0.713589 | − | 0.700564i | \(-0.752932\pi\) |
0.552340 | − | 0.833619i | \(-0.313735\pi\) | |||||||
\(758\) | −4.93723 | − | 8.55153i | −0.179328 | − | 0.310605i | ||||
\(759\) | −2.27569 | − | 2.38026i | −0.0826024 | − | 0.0863980i | ||||
\(760\) | −8.85044 | − | 2.37147i | −0.321039 | − | 0.0860222i | ||||
\(761\) | 23.0050 | − | 8.83079i | 0.833931 | − | 0.320116i | 0.0963270 | − | 0.995350i | \(-0.469291\pi\) |
0.737604 | + | 0.675234i | \(0.235957\pi\) | |||||||
\(762\) | 6.20040 | − | 12.1690i | 0.224617 | − | 0.440835i | ||||
\(763\) | 4.50290 | − | 0.957122i | 0.163016 | − | 0.0346501i | ||||
\(764\) | −3.93892 | − | 8.84696i | −0.142505 | − | 0.320072i | ||||
\(765\) | 0.458074 | − | 1.19332i | 0.0165617 | − | 0.0431447i | ||||
\(766\) | −0.906621 | + | 2.79029i | −0.0327576 | + | 0.100817i | ||||
\(767\) | −5.58582 | − | 32.4604i | −0.201692 | − | 1.17208i | ||||
\(768\) | 13.1875 | − | 9.58127i | 0.475862 | − | 0.345734i | ||||
\(769\) | −45.6721 | + | 12.2378i | −1.64698 | + | 0.441306i | −0.958764 | − | 0.284203i | \(-0.908271\pi\) |
−0.688213 | + | 0.725509i | \(0.741604\pi\) | |||||||
\(770\) | 1.03348 | + | 2.46898i | 0.0372439 | + | 0.0889760i | ||||
\(771\) | −17.6618 | + | 10.1970i | −0.636074 | + | 0.367238i | ||||
\(772\) | 4.47942 | + | 0.709471i | 0.161218 | + | 0.0255344i | ||||
\(773\) | 1.02056 | + | 19.4735i | 0.0367072 | + | 0.700415i | 0.953563 | + | 0.301195i | \(0.0973855\pi\) |
−0.916855 | + | 0.399220i | \(0.869281\pi\) | |||||||
\(774\) | 2.55515 | + | 1.65934i | 0.0918431 | + | 0.0596436i | ||||
\(775\) | −3.15182 | − | 19.8998i | −0.113217 | − | 0.714822i | ||||
\(776\) | 4.51214 | + | 0.474245i | 0.161976 | + | 0.0170244i | ||||
\(777\) | −2.87993 | − | 3.19849i | −0.103317 | − | 0.114745i | ||||
\(778\) | 6.75195 | − | 4.38477i | 0.242069 | − | 0.157202i | ||||
\(779\) | 9.28347 | + | 12.7776i | 0.332615 | + | 0.457805i | ||||
\(780\) | 4.67234 | − | 5.92980i | 0.167297 | − | 0.212321i | ||||
\(781\) | −20.9298 | − | 30.2114i | −0.748927 | − | 1.08105i | ||||
\(782\) | 0.168601 | + | 0.629229i | 0.00602917 | + | 0.0225012i | ||||
\(783\) | −1.61802 | + | 0.170060i | −0.0578232 | + | 0.00607747i | ||||
\(784\) | 0.658932 | + | 0.593305i | 0.0235333 | + | 0.0211895i | ||||
\(785\) | −8.43407 | − | 16.5528i | −0.301025 | − | 0.590795i | ||||
\(786\) | −5.51784 | − | 6.81396i | −0.196815 | − | 0.243046i | ||||
\(787\) | 20.2073 | + | 24.9540i | 0.720313 | + | 0.889513i | 0.997454 | − | 0.0713164i | \(-0.0227200\pi\) |
−0.277140 | + | 0.960829i | \(0.589387\pi\) | |||||||
\(788\) | −8.99945 | − | 17.6624i | −0.320592 | − | 0.629198i | ||||
\(789\) | 11.3095 | + | 10.1831i | 0.402628 | + | 0.362528i | ||||
\(790\) | 17.6571 | − | 1.85584i | 0.628211 | − | 0.0660277i | ||||
\(791\) | 0.784352 | + | 2.92724i | 0.0278883 | + | 0.104081i | ||||
\(792\) | −5.39494 | − | 7.78740i | −0.191701 | − | 0.276713i | ||||
\(793\) | 15.0147 | + | 20.0969i | 0.533187 | + | 0.713663i | ||||
\(794\) | 3.10527 | + | 4.27404i | 0.110202 | + | 0.151680i | ||||
\(795\) | −14.0840 | + | 9.14625i | −0.499508 | + | 0.324384i | ||||
\(796\) | 10.3311 | + | 11.4738i | 0.366174 | + | 0.406678i | ||||
\(797\) | −21.4485 | − | 2.25433i | −0.759745 | − | 0.0798524i | −0.283270 | − | 0.959040i | \(-0.591419\pi\) |
−0.476475 | + | 0.879188i | \(0.658086\pi\) | |||||||
\(798\) | −0.134436 | − | 0.848799i | −0.00475900 | − | 0.0300471i | ||||
\(799\) | −0.417615 | − | 0.271202i | −0.0147741 | − | 0.00959444i | ||||
\(800\) | 0.582079 | + | 11.1067i | 0.0205796 | + | 0.392682i | ||||
\(801\) | 10.4357 | + | 1.65285i | 0.368728 | + | 0.0584007i | ||||
\(802\) | 12.5513 | − | 7.24648i | 0.443201 | − | 0.255882i | ||||
\(803\) | −21.3074 | − | 50.9036i | −0.751922 | − | 1.79635i | ||||
\(804\) | −0.835304 | + | 0.223819i | −0.0294589 | + | 0.00789349i | ||||
\(805\) | 0.727685 | − | 0.528694i | 0.0256475 | − | 0.0186340i | ||||
\(806\) | 2.97120 | − | 32.4215i | 0.104656 | − | 1.14200i | ||||
\(807\) | −0.329145 | + | 1.01301i | −0.0115865 | + | 0.0356595i | ||||
\(808\) | 1.68213 | − | 4.38210i | 0.0591771 | − | 0.154162i | ||||
\(809\) | 9.05420 | + | 20.3361i | 0.318329 | + | 0.714978i | 0.999859 | − | 0.0168123i | \(-0.00535178\pi\) |
−0.681530 | + | 0.731790i | \(0.738685\pi\) | |||||||
\(810\) | −1.51236 | + | 0.321461i | −0.0531388 | + | 0.0112950i | ||||
\(811\) | −19.1903 | + | 37.6630i | −0.673862 | + | 1.32253i | 0.260248 | + | 0.965542i | \(0.416196\pi\) |
−0.934110 | + | 0.356986i | \(0.883804\pi\) | |||||||
\(812\) | 0.956406 | − | 0.367130i | 0.0335633 | − | 0.0128837i | ||||
\(813\) | 22.5916 | + | 6.05340i | 0.792322 | + | 0.212302i | ||||
\(814\) | −16.8364 | − | 17.6100i | −0.590115 | − | 0.617231i | ||||
\(815\) | −14.5421 | − | 25.1876i | −0.509386 | − | 0.882283i | ||||
\(816\) | 0.0101461 | + | 0.0965341i | 0.000355186 | + | 0.00337937i | ||||
\(817\) | −3.44260 | − | 5.30115i | −0.120441 | − | 0.185464i | ||||
\(818\) | 10.6997 | + | 3.47655i | 0.374107 | + | 0.121555i | ||||
\(819\) | 1.82413 | + | 0.462800i | 0.0637403 | + | 0.0161715i | ||||
\(820\) | −10.5171 | + | 14.4756i | −0.367274 | + | 0.505509i | ||||
\(821\) | −1.99461 | + | 38.0594i | −0.0696122 | + | 1.32828i | 0.710968 | + | 0.703225i | \(0.248257\pi\) |
−0.780580 | + | 0.625056i | \(0.785076\pi\) | |||||||
\(822\) | −1.99818 | + | 9.40072i | −0.0696947 | + | 0.327888i | ||||
\(823\) | −14.4171 | + | 32.3813i | −0.502548 | + | 1.12874i | 0.467093 | + | 0.884208i | \(0.345301\pi\) |
−0.969641 | + | 0.244533i | \(0.921365\pi\) | |||||||
\(824\) | −3.43255 | − | 3.43255i | −0.119579 | − | 0.119579i | ||||
\(825\) | 6.58952 | − | 0.197114i | 0.229418 | − | 0.00686264i | ||||
\(826\) | 1.09938 | − | 4.10293i | 0.0382522 | − | 0.142759i | ||||
\(827\) | −7.50075 | + | 47.3578i | −0.260826 | + | 1.64679i | 0.415065 | + | 0.909792i | \(0.363759\pi\) |
−0.675891 | + | 0.737002i | \(0.736241\pi\) | |||||||
\(828\) | −0.801510 | + | 0.890167i | −0.0278544 | + | 0.0309355i | ||||
\(829\) | 40.4862 | − | 36.4540i | 1.40615 | − | 1.26610i | 0.486314 | − | 0.873784i | \(-0.338341\pi\) |
0.919831 | − | 0.392315i | \(-0.128326\pi\) | |||||||
\(830\) | 22.5225 | + | 8.64558i | 0.781768 | + | 0.300092i | ||||
\(831\) | 1.02658 | + | 0.745855i | 0.0356117 | + | 0.0258734i | ||||
\(832\) | −3.68713 | + | 18.5599i | −0.127828 | + | 0.643450i | ||||
\(833\) | 4.71218 | − | 1.53108i | 0.163267 | − | 0.0530488i | ||||
\(834\) | −5.03452 | − | 4.07687i | −0.174331 | − | 0.141171i | ||||
\(835\) | −20.5923 | − | 11.8890i | −0.712626 | − | 0.411435i | ||||
\(836\) | 1.37471 | + | 7.26615i | 0.0475455 | + | 0.251305i | ||||
\(837\) | 7.16741 | − | 7.16741i | 0.247742 | − | 0.247742i | ||||
\(838\) | −4.26400 | − | 11.1081i | −0.147298 | − | 0.383723i | ||||
\(839\) | 18.2936 | − | 0.958725i | 0.631564 | − | 0.0330989i | 0.266131 | − | 0.963937i | \(-0.414254\pi\) |
0.365432 | + | 0.930838i | \(0.380921\pi\) | |||||||
\(840\) | 2.30557 | − | 1.17475i | 0.0795498 | − | 0.0405326i | ||||
\(841\) | −2.75465 | + | 26.2087i | −0.0949879 | + | 0.903749i | ||||
\(842\) | −16.4263 | + | 7.31347i | −0.566089 | + | 0.252039i | ||||
\(843\) | 24.5826 | + | 1.28832i | 0.846671 | + | 0.0443721i | ||||
\(844\) | −1.07044 | − | 3.29448i | −0.0368462 | − | 0.113401i | ||||
\(845\) | 1.78116 | + | 22.4923i | 0.0612737 | + | 0.773760i | ||||
\(846\) | 0.602321i | 0.0207082i | ||||||||
\(847\) | 3.80990 | − | 4.29524i | 0.130910 | − | 0.147586i | ||||
\(848\) | 0.637624 | − | 1.10440i | 0.0218961 | − | 0.0379252i | ||||
\(849\) | −14.1171 | − | 6.28536i | −0.484499 | − | 0.215713i | ||||
\(850\) | −1.16196 | − | 0.592048i | −0.0398549 | − | 0.0203071i | ||||
\(851\) | −4.45920 | + | 6.86657i | −0.152859 | + | 0.235383i | ||||
\(852\) | −10.3894 | + | 8.41317i | −0.355935 | + | 0.288230i | ||||
\(853\) | −24.2482 | + | 3.84054i | −0.830244 | + | 0.131498i | −0.557069 | − | 0.830466i | \(-0.688074\pi\) |
−0.273175 | + | 0.961964i | \(0.588074\pi\) | |||||||
\(854\) | 0.672630 | + | 3.16448i | 0.0230169 | + | 0.108286i | ||||
\(855\) | 3.13767 | + | 0.666932i | 0.107306 | + | 0.0228086i | ||||
\(856\) | 11.6305 | − | 14.3624i | 0.397521 | − | 0.490898i | ||||
\(857\) | 36.9578 | 1.26246 | 0.631228 | − | 0.775597i | \(-0.282551\pi\) | ||||
0.631228 | + | 0.775597i | \(0.282551\pi\) | |||||||
\(858\) | 10.3995 | + | 2.30984i | 0.355033 | + | 0.0788566i | ||||
\(859\) | −32.0861 | −1.09476 | −0.547381 | − | 0.836883i | \(-0.684375\pi\) | ||||
−0.547381 | + | 0.836883i | \(0.684375\pi\) | |||||||
\(860\) | 4.50647 | − | 5.56503i | 0.153669 | − | 0.189766i | ||||
\(861\) | −4.36287 | − | 0.927357i | −0.148686 | − | 0.0316043i | ||||
\(862\) | 1.02047 | + | 4.80092i | 0.0347573 | + | 0.163520i | ||||
\(863\) | 13.5562 | − | 2.14709i | 0.461459 | − | 0.0730879i | 0.0786232 | − | 0.996904i | \(-0.474948\pi\) |
0.382836 | + | 0.923817i | \(0.374948\pi\) | |||||||
\(864\) | −4.34843 | + | 3.52129i | −0.147937 | + | 0.119797i | ||||
\(865\) | −10.0437 | + | 15.4659i | −0.341494 | + | 0.525855i | ||||
\(866\) | 20.3189 | + | 10.3530i | 0.690463 | + | 0.351808i | ||||
\(867\) | −15.0348 | − | 6.69391i | −0.510608 | − | 0.227337i | ||||
\(868\) | −3.19131 | + | 5.52751i | −0.108320 | + | 0.187616i | ||||
\(869\) | −20.0201 | − | 32.3983i | −0.679134 | − | 1.09904i | ||||
\(870\) | − | 2.51547i | − | 0.0852823i | ||||||
\(871\) | 1.37861 | − | 2.18614i | 0.0467124 | − | 0.0740745i | ||||
\(872\) | −7.78501 | − | 23.9598i | −0.263634 | − | 0.811381i | ||||
\(873\) | −1.58619 | − | 0.0831285i | −0.0536843 | − | 0.00281347i | ||||
\(874\) | −1.49345 | + | 0.664928i | −0.0505168 | + | 0.0224915i | ||||
\(875\) | −0.661680 | + | 6.29547i | −0.0223689 | + | 0.212826i | ||||
\(876\) | −17.8847 | + | 9.11273i | −0.604269 | + | 0.307890i | ||||
\(877\) | 45.3090 | − | 2.37455i | 1.52998 | − | 0.0801827i | 0.731347 | − | 0.682005i | \(-0.238892\pi\) |
0.798630 | + | 0.601822i | \(0.205558\pi\) | |||||||
\(878\) | 10.2056 | + | 26.5865i | 0.344423 | + | 0.897252i | ||||
\(879\) | −5.25474 | + | 5.25474i | −0.177238 | + | 0.177238i | ||||
\(880\) | 0.665381 | − | 0.364488i | 0.0224300 | − | 0.0122869i | ||||
\(881\) | 23.3202 | + | 13.4639i | 0.785677 | + | 0.453611i | 0.838438 | − | 0.544996i | \(-0.183469\pi\) |
−0.0527614 | + | 0.998607i | \(0.516802\pi\) | |||||||
\(882\) | −4.65759 | − | 3.77164i | −0.156829 | − | 0.126998i | ||||
\(883\) | −33.7237 | + | 10.9575i | −1.13489 | + | 0.368749i | −0.815433 | − | 0.578851i | \(-0.803501\pi\) |
−0.319459 | + | 0.947600i | \(0.603501\pi\) | |||||||
\(884\) | 2.40901 | + | 2.11161i | 0.0810237 | + | 0.0710211i | ||||
\(885\) | 12.8270 | + | 9.31937i | 0.431175 | + | 0.313267i | ||||
\(886\) | 2.21708 | + | 0.851056i | 0.0744841 | + | 0.0285918i | ||||
\(887\) | 20.5685 | − | 18.5200i | 0.690624 | − | 0.621841i | −0.247195 | − | 0.968966i | \(-0.579509\pi\) |
0.937819 | + | 0.347125i | \(0.112842\pi\) | |||||||
\(888\) | −15.7605 | + | 17.5038i | −0.528889 | + | 0.587390i | ||||
\(889\) | 1.25180 | − | 7.90356i | 0.0419840 | − | 0.265077i | ||||
\(890\) | −4.22813 | + | 15.7796i | −0.141727 | + | 0.528933i | ||||
\(891\) | 2.02882 | + | 2.62372i | 0.0679680 | + | 0.0878978i | ||||
\(892\) | −13.5042 | − | 13.5042i | −0.452155 | − | 0.452155i | ||||
\(893\) | 0.508269 | − | 1.14159i | 0.0170086 | − | 0.0382019i | ||||
\(894\) | 1.53047 | − | 7.20031i | 0.0511866 | − | 0.240814i | ||||
\(895\) | −1.16164 | + | 22.1653i | −0.0388292 | + | 0.740905i | ||||
\(896\) | 1.99891 | − | 2.75126i | 0.0667789 | − | 0.0919133i | ||||
\(897\) | −0.0477279 | − | 3.57964i | −0.00159359 | − | 0.119521i | ||||
\(898\) | −0.244586 | − | 0.0794707i | −0.00816193 | − | 0.00265197i | ||||
\(899\) | 8.98162 | + | 13.8305i | 0.299554 | + | 0.461272i | ||||
\(900\) | −0.250656 | − | 2.38483i | −0.00835519 | − | 0.0794944i | ||||
\(901\) | −3.56298 | − | 6.17126i | −0.118700 | − | 0.205594i | ||||
\(902\) | −24.8426 | − | 4.50867i | −0.827170 | − | 0.150122i | ||||
\(903\) | 1.72424 | + | 0.462010i | 0.0573793 | + | 0.0153747i | ||||
\(904\) | 15.4830 | − | 5.94336i | 0.514956 | − | 0.197673i | ||||
\(905\) | 11.4599 | − | 22.4912i | 0.380938 | − | 0.747634i | ||||
\(906\) | 7.91045 | − | 1.68142i | 0.262807 | − | 0.0558614i | ||||
\(907\) | 20.6618 | + | 46.4071i | 0.686062 | + | 1.54092i | 0.833903 | + | 0.551910i | \(0.186101\pi\) |
−0.147841 | + | 0.989011i | \(0.547232\pi\) | |||||||
\(908\) | 1.09921 | − | 2.86354i | 0.0364786 | − | 0.0950300i | ||||
\(909\) | −0.507802 | + | 1.56285i | −0.0168427 | + | 0.0518366i | ||||
\(910\) | −1.00644 | + | 2.73012i | −0.0333633 | + | 0.0905026i | ||||
\(911\) | −23.8137 | + | 17.3017i | −0.788984 | + | 0.573231i | −0.907662 | − | 0.419702i | \(-0.862135\pi\) |
0.118677 | + | 0.992933i | \(0.462135\pi\) | |||||||
\(912\) | −0.235292 | + | 0.0630462i | −0.00779129 | + | 0.00208767i | ||||
\(913\) | −4.25239 | − | 51.5752i | −0.140734 | − | 1.70689i | ||||
\(914\) | −28.3312 | + | 16.3570i | −0.937113 | + | 0.541043i | ||||
\(915\) | −11.9271 | − | 1.88907i | −0.394298 | − | 0.0624507i | ||||
\(916\) | −1.25618 | − | 23.9694i | −0.0415054 | − | 0.791970i | ||||
\(917\) | −4.30842 | − | 2.79792i | −0.142277 | − | 0.0923955i | ||||
\(918\) | −0.102634 | − | 0.648005i | −0.00338742 | − | 0.0213873i | ||||
\(919\) | 32.2080 | + | 3.38519i | 1.06244 | + | 0.111667i | 0.619589 | − | 0.784927i | \(-0.287299\pi\) |
0.442854 | + | 0.896594i | \(0.353966\pi\) | |||||||
\(920\) | −3.29371 | − | 3.65803i | −0.108590 | − | 0.120602i | ||||
\(921\) | 5.85616 | − | 3.80303i | 0.192967 | − | 0.125314i | ||||
\(922\) | −3.83843 | − | 5.28315i | −0.126412 | − | 0.173991i | ||||
\(923\) | 5.72362 | − | 39.5426i | 0.188395 | − | 1.30156i | ||||
\(924\) | −1.66158 | − | 1.26517i | −0.0546619 | − | 0.0416211i | ||||
\(925\) | −4.24218 | − | 15.8320i | −0.139482 | − | 0.520554i | ||||
\(926\) | 9.40735 | − | 0.988752i | 0.309145 | − | 0.0324924i | ||||
\(927\) | 1.26295 | + | 1.13717i | 0.0414808 | + | 0.0373495i | ||||
\(928\) | −4.13281 | − | 8.11109i | −0.135666 | − | 0.266260i | ||||
\(929\) | −8.51421 | − | 10.5142i | −0.279342 | − | 0.344959i | 0.618093 | − | 0.786105i | \(-0.287905\pi\) |
−0.897435 | + | 0.441146i | \(0.854572\pi\) | |||||||
\(930\) | 9.86276 | + | 12.1795i | 0.323413 | + | 0.399381i | ||||
\(931\) | 5.64493 | + | 11.0788i | 0.185005 | + | 0.363093i | ||||
\(932\) | 14.3711 | + | 12.9398i | 0.470740 | + | 0.423856i | ||||
\(933\) | −31.5512 | + | 3.31616i | −1.03294 | + | 0.108566i | ||||
\(934\) | 0.571777 | + | 2.13390i | 0.0187091 | + | 0.0698234i | ||||
\(935\) | 0.0951894 | − | 4.23831i | 0.00311303 | − | 0.138608i | ||||
\(936\) | 1.47534 | − | 10.1927i | 0.0482231 | − | 0.333158i | ||||
\(937\) | −5.93941 | − | 8.17489i | −0.194032 | − | 0.267062i | 0.700905 | − | 0.713255i | \(-0.252780\pi\) |
−0.894937 | + | 0.446192i | \(0.852780\pi\) | |||||||
\(938\) | 0.279532 | − | 0.181530i | 0.00912705 | − | 0.00592717i | ||||
\(939\) | 4.28853 | + | 4.76290i | 0.139951 | + | 0.155431i | ||||
\(940\) | 1.40793 | + | 0.147980i | 0.0459217 | + | 0.00482656i | ||||
\(941\) | −7.69859 | − | 48.6070i | −0.250967 | − | 1.58454i | −0.715259 | − | 0.698860i | \(-0.753691\pi\) |
0.464292 | − | 0.885682i | \(-0.346309\pi\) | |||||||
\(942\) | −7.99713 | − | 5.19339i | −0.260560 | − | 0.169210i | ||||
\(943\) | 0.444063 | + | 8.47323i | 0.0144607 | + | 0.275926i | ||||
\(944\) | −1.18918 | − | 0.188348i | −0.0387045 | − | 0.00613020i | ||||
\(945\) | −0.784530 | + | 0.452949i | −0.0255208 | + | 0.0147344i | ||||
\(946\) | 9.83419 | + | 2.32228i | 0.319737 | + | 0.0755037i | ||||
\(947\) | −43.7645 | + | 11.7267i | −1.42216 | + | 0.381066i | −0.886248 | − | 0.463211i | \(-0.846697\pi\) |
−0.535908 | + | 0.844276i | \(0.680031\pi\) | |||||||
\(948\) | −11.2074 | + | 8.14264i | −0.363999 | + | 0.264461i | ||||
\(949\) | 20.7501 | − | 56.2875i | 0.673575 | − | 1.82717i | ||||
\(950\) | 1.01132 | − | 3.11252i | 0.0328116 | − | 0.100984i | ||||
\(951\) | 12.0663 | − | 31.4337i | 0.391275 | − | 1.01931i | ||||
\(952\) | 0.446601 | + | 1.00308i | 0.0144744 | + | 0.0325101i | ||||
\(953\) | −22.2866 | + | 4.73716i | −0.721934 | + | 0.153452i | −0.554204 | − | 0.832381i | \(-0.686977\pi\) |
−0.167730 | + | 0.985833i | \(0.553644\pi\) | |||||||
\(954\) | −3.91321 | + | 7.68011i | −0.126695 | + | 0.248653i | ||||
\(955\) | −13.0069 | + | 4.99287i | −0.420892 | + | 0.161565i | ||||
\(956\) | 3.10771 | + | 0.832707i | 0.100510 | + | 0.0269317i | ||||
\(957\) | −4.86159 | + | 2.34112i | −0.157153 | + | 0.0756778i | ||||
\(958\) | 5.69619 | + | 9.86610i | 0.184036 | + | 0.318759i | ||||
\(959\) | 0.588601 | + | 5.60016i | 0.0190069 | + | 0.180839i | ||||
\(960\) | −4.96098 | − | 7.63924i | −0.160115 | − | 0.246556i | ||||
\(961\) | −68.2321 | − | 22.1699i | −2.20103 | − | 0.715159i | ||||
\(962\) | −0.353108 | − | 26.4835i | −0.0113847 | − | 0.853862i | ||||
\(963\) | −3.80299 | + | 5.23437i | −0.122550 | + | 0.168675i | ||||
\(964\) | 0.559759 | − | 10.6808i | 0.0180286 | − | 0.344007i | ||||
\(965\) | 1.35656 | − | 6.38211i | 0.0436692 | − | 0.205447i | ||||
\(966\) | 0.187781 | − | 0.421763i | 0.00604175 | − | 0.0135700i | ||||
\(967\) | −11.8602 | − | 11.8602i | −0.381397 | − | 0.381397i | 0.490208 | − | 0.871605i | \(-0.336921\pi\) |
−0.871605 | + | 0.490208i | \(0.836921\pi\) | |||||||
\(968\) | −25.5565 | − | 18.2786i | −0.821416 | − | 0.587495i | ||||
\(969\) | −0.352296 | + | 1.31479i | −0.0113174 | + | 0.0422370i | ||||
\(970\) | 0.384178 | − | 2.42560i | 0.0123352 | − | 0.0778814i | ||||
\(971\) | 23.6594 | − | 26.2765i | 0.759268 | − | 0.843252i | −0.232327 | − | 0.972638i | \(-0.574634\pi\) |
0.991594 | + | 0.129386i | \(0.0413005\pi\) | |||||||
\(972\) | 0.896530 | − | 0.807239i | 0.0287562 | − | 0.0258922i | ||||
\(973\) | −3.54354 | − | 1.36024i | −0.113601 | − | 0.0436072i | ||||
\(974\) | −26.8728 | − | 19.5242i | −0.861060 | − | 0.625597i | ||||
\(975\) | 5.38941 | + | 4.72407i | 0.172599 | + | 0.151291i | ||||
\(976\) | 0.872131 | − | 0.283373i | 0.0279162 | − | 0.00907054i | ||||
\(977\) | 4.55198 | + | 3.68612i | 0.145631 | + | 0.117930i | 0.699367 | − | 0.714762i | \(-0.253465\pi\) |
−0.553737 | + | 0.832692i | \(0.686799\pi\) | |||||||
\(978\) | −12.9282 | − | 7.46411i | −0.413399 | − | 0.238676i | ||||
\(979\) | 34.4319 | − | 6.51432i | 1.10045 | − | 0.208199i | ||||
\(980\) | −9.96055 | + | 9.96055i | −0.318178 | + | 0.318178i | ||||
\(981\) | 3.16073 | + | 8.23398i | 0.100914 | + | 0.262891i | ||||
\(982\) | 7.56868 | − | 0.396658i | 0.241526 | − | 0.0126579i | ||||
\(983\) | 52.7083 | − | 26.8562i | 1.68113 | − | 0.856581i | 0.689986 | − | 0.723823i | \(-0.257617\pi\) |
0.991149 | − | 0.132758i | \(-0.0423832\pi\) | |||||||
\(984\) | −2.55147 | + | 24.2756i | −0.0813380 | + | 0.773879i | ||||
\(985\) | −26.0530 | + | 11.5995i | −0.830116 | + | 0.369592i | ||||
\(986\) | 1.06594 | + | 0.0558634i | 0.0339463 | + | 0.00177905i | ||||
\(987\) | 0.109054 | + | 0.335632i | 0.00347121 | + | 0.0106833i | ||||
\(988\) | −4.28822 | + | 6.80007i | −0.136427 | + | 0.216339i | ||||
\(989\) | − | 3.39572i | − | 0.107978i | ||||||
\(990\) | −4.36231 | + | 2.69563i | −0.138643 | + | 0.0856726i | ||||
\(991\) | 16.4652 | − | 28.5186i | 0.523036 | − | 0.905924i | −0.476605 | − | 0.879118i | \(-0.658133\pi\) |
0.999641 | − | 0.0268068i | \(-0.00853391\pi\) | |||||||
\(992\) | 51.8128 | + | 23.0685i | 1.64506 | + | 0.732427i | ||||
\(993\) | −15.3809 | − | 7.83698i | −0.488100 | − | 0.248699i | ||||
\(994\) | 2.80631 | − | 4.32134i | 0.0890109 | − | 0.137065i | ||||
\(995\) | 17.2621 | − | 13.9786i | 0.547245 | − | 0.443151i | ||||
\(996\) | −18.5920 | + | 2.94469i | −0.589111 | + | 0.0933060i | ||||
\(997\) | −1.13733 | − | 5.35073i | −0.0360197 | − | 0.169459i | 0.956461 | − | 0.291860i | \(-0.0942741\pi\) |
−0.992481 | + | 0.122400i | \(0.960941\pi\) | |||||||
\(998\) | −13.1459 | − | 2.79425i | −0.416127 | − | 0.0884506i | ||||
\(999\) | 5.18935 | − | 6.40832i | 0.164184 | − | 0.202750i |
(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 | 429.2.bs.b.19.6 | ✓ | 224 | |
11.7 | odd | 10 | inner | 429.2.bs.b.370.9 | yes | 224 | |
13.11 | odd | 12 | inner | 429.2.bs.b.349.9 | yes | 224 | |
143.128 | even | 60 | inner | 429.2.bs.b.271.6 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.19.6 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.271.6 | yes | 224 | 143.128 | even | 60 | inner | |
429.2.bs.b.349.9 | yes | 224 | 13.11 | odd | 12 | inner | |
429.2.bs.b.370.9 | yes | 224 | 11.7 | odd | 10 | inner |