Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 301.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.301 |
Dual form | 570.2.u.f.481.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | −0.939693 | + | 0.342020i | −0.542532 | + | 0.197465i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −0.173648 | + | 0.984808i | −0.0776578 | + | 0.440419i | ||||
\(6\) | 0.939693 | + | 0.342020i | 0.383628 | + | 0.139629i | ||||
\(7\) | −0.266044 | − | 0.460802i | −0.100555 | − | 0.174167i | 0.811358 | − | 0.584549i | \(-0.198729\pi\) |
−0.911914 | + | 0.410382i | \(0.865395\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0.766044 | − | 0.642788i | 0.255348 | − | 0.214263i | ||||
\(10\) | 0.766044 | − | 0.642788i | 0.242245 | − | 0.203267i | ||||
\(11\) | −1.85844 | + | 3.21891i | −0.560341 | + | 0.970539i | 0.437125 | + | 0.899401i | \(0.355997\pi\) |
−0.997466 | + | 0.0711385i | \(0.977337\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | −3.09240 | − | 1.12554i | −0.857676 | − | 0.312169i | −0.124510 | − | 0.992218i | \(-0.539736\pi\) |
−0.733166 | + | 0.680050i | \(0.761958\pi\) | |||||||
\(14\) | −0.0923963 | + | 0.524005i | −0.0246939 | + | 0.140046i | ||||
\(15\) | −0.173648 | − | 0.984808i | −0.0448358 | − | 0.254276i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −0.624485 | − | 0.524005i | −0.151460 | − | 0.127090i | 0.563909 | − | 0.825837i | \(-0.309297\pi\) |
−0.715369 | + | 0.698747i | \(0.753741\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | 4.21688 | − | 1.10359i | 0.967419 | − | 0.253181i | ||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | 0.407604 | + | 0.342020i | 0.0889464 | + | 0.0746349i | ||||
\(22\) | 3.49273 | − | 1.27125i | 0.744652 | − | 0.271031i | ||||
\(23\) | −1.01367 | − | 5.74881i | −0.211365 | − | 1.19871i | −0.887104 | − | 0.461569i | \(-0.847287\pi\) |
0.675739 | − | 0.737141i | \(-0.263825\pi\) | |||||||
\(24\) | −0.173648 | + | 0.984808i | −0.0354458 | + | 0.201023i | ||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | 1.64543 | + | 2.84997i | 0.322695 | + | 0.558925i | ||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | 0.407604 | − | 0.342020i | 0.0770299 | − | 0.0646357i | ||||
\(29\) | −7.68139 | + | 6.44545i | −1.42640 | + | 1.19689i | −0.478594 | + | 0.878036i | \(0.658854\pi\) |
−0.947804 | + | 0.318854i | \(0.896702\pi\) | |||||||
\(30\) | −0.500000 | + | 0.866025i | −0.0912871 | + | 0.158114i | ||||
\(31\) | −4.70574 | − | 8.15058i | −0.845175 | − | 1.46389i | −0.885469 | − | 0.464699i | \(-0.846163\pi\) |
0.0402935 | − | 0.999188i | \(-0.487171\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | 0.645430 | − | 3.66041i | 0.112355 | − | 0.637196i | ||||
\(34\) | 0.141559 | + | 0.802823i | 0.0242772 | + | 0.137683i | ||||
\(35\) | 0.500000 | − | 0.181985i | 0.0845154 | − | 0.0307611i | ||||
\(36\) | 0.766044 | + | 0.642788i | 0.127674 | + | 0.107131i | ||||
\(37\) | −8.04189 | −1.32208 | −0.661039 | − | 0.750351i | \(-0.729884\pi\) | ||||
−0.661039 | + | 0.750351i | \(0.729884\pi\) | |||||||
\(38\) | −3.93969 | − | 1.86516i | −0.639103 | − | 0.302569i | ||||
\(39\) | 3.29086 | 0.526959 | ||||||||
\(40\) | 0.766044 | + | 0.642788i | 0.121122 | + | 0.101634i | ||||
\(41\) | −9.69119 | + | 3.52730i | −1.51351 | + | 0.550872i | −0.959517 | − | 0.281650i | \(-0.909118\pi\) |
−0.553992 | + | 0.832522i | \(0.686896\pi\) | |||||||
\(42\) | −0.0923963 | − | 0.524005i | −0.0142571 | − | 0.0808558i | ||||
\(43\) | 0.768571 | − | 4.35878i | 0.117206 | − | 0.664708i | −0.868428 | − | 0.495815i | \(-0.834870\pi\) |
0.985634 | − | 0.168893i | \(-0.0540193\pi\) | |||||||
\(44\) | −3.49273 | − | 1.27125i | −0.526548 | − | 0.191648i | ||||
\(45\) | 0.500000 | + | 0.866025i | 0.0745356 | + | 0.129099i | ||||
\(46\) | −2.91875 | + | 5.05542i | −0.430346 | + | 0.745381i | ||||
\(47\) | −8.35117 | + | 7.00746i | −1.21814 | + | 1.02214i | −0.219223 | + | 0.975675i | \(0.570352\pi\) |
−0.998920 | + | 0.0464685i | \(0.985203\pi\) | |||||||
\(48\) | 0.766044 | − | 0.642788i | 0.110569 | − | 0.0927784i | ||||
\(49\) | 3.35844 | − | 5.81699i | 0.479777 | − | 0.830999i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 0.766044 | + | 0.278817i | 0.107268 | + | 0.0390422i | ||||
\(52\) | 0.571452 | − | 3.24086i | 0.0792461 | − | 0.449427i | ||||
\(53\) | −0.180922 | − | 1.02606i | −0.0248516 | − | 0.140940i | 0.969857 | − | 0.243673i | \(-0.0783524\pi\) |
−0.994709 | + | 0.102733i | \(0.967241\pi\) | |||||||
\(54\) | 0.939693 | − | 0.342020i | 0.127876 | − | 0.0465430i | ||||
\(55\) | −2.84730 | − | 2.38917i | −0.383929 | − | 0.322155i | ||||
\(56\) | −0.532089 | −0.0711034 | ||||||||
\(57\) | −3.58512 | + | 2.47929i | −0.474861 | + | 0.328390i | ||||
\(58\) | 10.0273 | 1.31665 | ||||||||
\(59\) | 5.09627 | + | 4.27628i | 0.663477 | + | 0.556724i | 0.911127 | − | 0.412126i | \(-0.135214\pi\) |
−0.247649 | + | 0.968850i | \(0.579658\pi\) | |||||||
\(60\) | 0.939693 | − | 0.342020i | 0.121314 | − | 0.0441546i | ||||
\(61\) | 2.48886 | + | 14.1150i | 0.318665 | + | 1.80724i | 0.550889 | + | 0.834578i | \(0.314289\pi\) |
−0.232224 | + | 0.972662i | \(0.574600\pi\) | |||||||
\(62\) | −1.63429 | + | 9.26849i | −0.207554 | + | 1.17710i | ||||
\(63\) | −0.500000 | − | 0.181985i | −0.0629941 | − | 0.0229280i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.64543 | − | 2.84997i | 0.204090 | − | 0.353495i | ||||
\(66\) | −2.84730 | + | 2.38917i | −0.350478 | + | 0.294086i | ||||
\(67\) | 3.91740 | − | 3.28709i | 0.478587 | − | 0.401582i | −0.371328 | − | 0.928502i | \(-0.621098\pi\) |
0.849915 | + | 0.526919i | \(0.176653\pi\) | |||||||
\(68\) | 0.407604 | − | 0.705990i | 0.0494292 | − | 0.0856139i | ||||
\(69\) | 2.91875 | + | 5.05542i | 0.351376 | + | 0.608601i | ||||
\(70\) | −0.500000 | − | 0.181985i | −0.0597614 | − | 0.0217514i | ||||
\(71\) | 0.595800 | − | 3.37895i | 0.0707084 | − | 0.401007i | −0.928827 | − | 0.370515i | \(-0.879181\pi\) |
0.999535 | − | 0.0304926i | \(-0.00970761\pi\) | |||||||
\(72\) | −0.173648 | − | 0.984808i | −0.0204646 | − | 0.116061i | ||||
\(73\) | −1.02094 | + | 0.371593i | −0.119493 | + | 0.0434917i | −0.401074 | − | 0.916045i | \(-0.631363\pi\) |
0.281582 | + | 0.959537i | \(0.409141\pi\) | |||||||
\(74\) | 6.16044 | + | 5.16923i | 0.716137 | + | 0.600910i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | 1.81908 | + | 3.96118i | 0.208663 | + | 0.454379i | ||||
\(77\) | 1.97771 | 0.225381 | ||||||||
\(78\) | −2.52094 | − | 2.11532i | −0.285441 | − | 0.239513i | ||||
\(79\) | −11.8623 | + | 4.31753i | −1.33461 | + | 0.485760i | −0.908112 | − | 0.418727i | \(-0.862477\pi\) |
−0.426502 | + | 0.904487i | \(0.640254\pi\) | |||||||
\(80\) | −0.173648 | − | 0.984808i | −0.0194145 | − | 0.110105i | ||||
\(81\) | 0.173648 | − | 0.984808i | 0.0192942 | − | 0.109423i | ||||
\(82\) | 9.69119 | + | 3.52730i | 1.07021 | + | 0.389526i | ||||
\(83\) | −9.02141 | − | 15.6255i | −0.990229 | − | 1.71513i | −0.615885 | − | 0.787836i | \(-0.711201\pi\) |
−0.374344 | − | 0.927290i | \(-0.622132\pi\) | |||||||
\(84\) | −0.266044 | + | 0.460802i | −0.0290278 | + | 0.0502777i | ||||
\(85\) | 0.624485 | − | 0.524005i | 0.0677349 | − | 0.0568364i | ||||
\(86\) | −3.39053 | + | 2.84499i | −0.365610 | + | 0.306783i | ||||
\(87\) | 5.01367 | − | 8.68393i | 0.537522 | − | 0.931015i | ||||
\(88\) | 1.85844 | + | 3.21891i | 0.198110 | + | 0.343137i | ||||
\(89\) | −3.60607 | − | 1.31250i | −0.382242 | − | 0.139125i | 0.143750 | − | 0.989614i | \(-0.454084\pi\) |
−0.525993 | + | 0.850489i | \(0.676306\pi\) | |||||||
\(90\) | 0.173648 | − | 0.984808i | 0.0183041 | − | 0.103808i | ||||
\(91\) | 0.304063 | + | 1.72443i | 0.0318745 | + | 0.180769i | ||||
\(92\) | 5.48545 | − | 1.99654i | 0.571898 | − | 0.208154i | ||||
\(93\) | 7.20961 | + | 6.04958i | 0.747601 | + | 0.627312i | ||||
\(94\) | 10.9017 | 1.12442 | ||||||||
\(95\) | 0.354570 | + | 4.34445i | 0.0363781 | + | 0.445732i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 2.01501 | + | 1.69080i | 0.204594 | + | 0.171675i | 0.739327 | − | 0.673346i | \(-0.235144\pi\) |
−0.534734 | + | 0.845021i | \(0.679588\pi\) | |||||||
\(98\) | −6.31180 | + | 2.29731i | −0.637588 | + | 0.232063i | ||||
\(99\) | 0.645430 | + | 3.66041i | 0.0648681 | + | 0.367885i | ||||
\(100\) | 0.173648 | − | 0.984808i | 0.0173648 | − | 0.0984808i | ||||
\(101\) | 12.1074 | + | 4.40674i | 1.20473 | + | 0.438487i | 0.864874 | − | 0.501990i | \(-0.167398\pi\) |
0.339859 | + | 0.940476i | \(0.389621\pi\) | |||||||
\(102\) | −0.407604 | − | 0.705990i | −0.0403588 | − | 0.0699035i | ||||
\(103\) | 5.26264 | − | 9.11516i | 0.518543 | − | 0.898144i | −0.481224 | − | 0.876597i | \(-0.659808\pi\) |
0.999768 | − | 0.0215461i | \(-0.00685887\pi\) | |||||||
\(104\) | −2.52094 | + | 2.11532i | −0.247199 | + | 0.207425i | ||||
\(105\) | −0.407604 | + | 0.342020i | −0.0397781 | + | 0.0333777i | ||||
\(106\) | −0.520945 | + | 0.902302i | −0.0505986 | + | 0.0876394i | ||||
\(107\) | −3.31908 | − | 5.74881i | −0.320867 | − | 0.555759i | 0.659800 | − | 0.751441i | \(-0.270641\pi\) |
−0.980667 | + | 0.195683i | \(0.937308\pi\) | |||||||
\(108\) | −0.939693 | − | 0.342020i | −0.0904220 | − | 0.0329109i | ||||
\(109\) | 1.97565 | − | 11.2045i | 0.189233 | − | 1.07319i | −0.731162 | − | 0.682204i | \(-0.761022\pi\) |
0.920395 | − | 0.390990i | \(-0.127867\pi\) | |||||||
\(110\) | 0.645430 | + | 3.66041i | 0.0615393 | + | 0.349007i | ||||
\(111\) | 7.55690 | − | 2.75049i | 0.717270 | − | 0.261065i | ||||
\(112\) | 0.407604 | + | 0.342020i | 0.0385149 | + | 0.0323179i | ||||
\(113\) | 2.45336 | 0.230793 | 0.115396 | − | 0.993320i | \(-0.463186\pi\) | ||||
0.115396 | + | 0.993320i | \(0.463186\pi\) | |||||||
\(114\) | 4.34002 | + | 0.405223i | 0.406480 | + | 0.0379526i | ||||
\(115\) | 5.83750 | 0.544349 | ||||||||
\(116\) | −7.68139 | − | 6.44545i | −0.713199 | − | 0.598445i | ||||
\(117\) | −3.09240 | + | 1.12554i | −0.285892 | + | 0.104056i | ||||
\(118\) | −1.15523 | − | 6.55163i | −0.106348 | − | 0.603127i | ||||
\(119\) | −0.0753221 | + | 0.427173i | −0.00690477 | + | 0.0391589i | ||||
\(120\) | −0.939693 | − | 0.342020i | −0.0857818 | − | 0.0312220i | ||||
\(121\) | −1.40760 | − | 2.43804i | −0.127964 | − | 0.221640i | ||||
\(122\) | 7.16637 | − | 12.4125i | 0.648813 | − | 1.12378i | ||||
\(123\) | 7.90033 | − | 6.62916i | 0.712349 | − | 0.597732i | ||||
\(124\) | 7.20961 | − | 6.04958i | 0.647442 | − | 0.543268i | ||||
\(125\) | 0.500000 | − | 0.866025i | 0.0447214 | − | 0.0774597i | ||||
\(126\) | 0.266044 | + | 0.460802i | 0.0237011 | + | 0.0410515i | ||||
\(127\) | 2.31268 | + | 0.841747i | 0.205217 | + | 0.0746930i | 0.442584 | − | 0.896727i | \(-0.354062\pi\) |
−0.237366 | + | 0.971420i | \(0.576284\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | 0.768571 | + | 4.35878i | 0.0676689 | + | 0.383769i | ||||
\(130\) | −3.09240 | + | 1.12554i | −0.271221 | + | 0.0987164i | ||||
\(131\) | 4.34730 | + | 3.64781i | 0.379825 | + | 0.318711i | 0.812634 | − | 0.582775i | \(-0.198033\pi\) |
−0.432809 | + | 0.901486i | \(0.642477\pi\) | |||||||
\(132\) | 3.71688 | 0.323513 | ||||||||
\(133\) | −1.63041 | − | 1.64955i | −0.141375 | − | 0.143034i | ||||
\(134\) | −5.11381 | −0.441766 | ||||||||
\(135\) | −0.766044 | − | 0.642788i | −0.0659306 | − | 0.0553223i | ||||
\(136\) | −0.766044 | + | 0.278817i | −0.0656878 | + | 0.0239084i | ||||
\(137\) | 3.47653 | + | 19.7164i | 0.297020 | + | 1.68448i | 0.658877 | + | 0.752250i | \(0.271032\pi\) |
−0.361857 | + | 0.932233i | \(0.617857\pi\) | |||||||
\(138\) | 1.01367 | − | 5.74881i | 0.0862894 | − | 0.489371i | ||||
\(139\) | 10.0753 | + | 3.66712i | 0.854578 | + | 0.311041i | 0.731905 | − | 0.681406i | \(-0.238631\pi\) |
0.122672 | + | 0.992447i | \(0.460854\pi\) | |||||||
\(140\) | 0.266044 | + | 0.460802i | 0.0224849 | + | 0.0389449i | ||||
\(141\) | 5.45084 | − | 9.44113i | 0.459043 | − | 0.795086i | ||||
\(142\) | −2.62836 | + | 2.20545i | −0.220567 | + | 0.185077i | ||||
\(143\) | 9.37005 | − | 7.86241i | 0.783563 | − | 0.657488i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −5.01367 | − | 8.68393i | −0.416363 | − | 0.721161i | ||||
\(146\) | 1.02094 | + | 0.371593i | 0.0844940 | + | 0.0307533i | ||||
\(147\) | −1.16637 | + | 6.61484i | −0.0962009 | + | 0.545583i | ||||
\(148\) | −1.39646 | − | 7.91971i | −0.114788 | − | 0.650997i | ||||
\(149\) | 0.405078 | − | 0.147436i | 0.0331852 | − | 0.0120784i | −0.325374 | − | 0.945585i | \(-0.605490\pi\) |
0.358559 | + | 0.933507i | \(0.383268\pi\) | |||||||
\(150\) | −0.766044 | − | 0.642788i | −0.0625473 | − | 0.0524834i | ||||
\(151\) | 11.1061 | 0.903799 | 0.451899 | − | 0.892069i | \(-0.350747\pi\) | ||||
0.451899 | + | 0.892069i | \(0.350747\pi\) | |||||||
\(152\) | 1.15270 | − | 4.20372i | 0.0934966 | − | 0.340967i | ||||
\(153\) | −0.815207 | −0.0659056 | ||||||||
\(154\) | −1.51501 | − | 1.27125i | −0.122083 | − | 0.102440i | ||||
\(155\) | 8.84389 | − | 3.21891i | 0.710359 | − | 0.258549i | ||||
\(156\) | 0.571452 | + | 3.24086i | 0.0457528 | + | 0.259477i | ||||
\(157\) | −2.83363 | + | 16.0703i | −0.226148 | + | 1.28255i | 0.634331 | + | 0.773062i | \(0.281276\pi\) |
−0.860478 | + | 0.509487i | \(0.829835\pi\) | |||||||
\(158\) | 11.8623 | + | 4.31753i | 0.943715 | + | 0.343484i | ||||
\(159\) | 0.520945 | + | 0.902302i | 0.0413136 | + | 0.0715572i | ||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | −2.37939 | + | 1.99654i | −0.187522 | + | 0.157349i | ||||
\(162\) | −0.766044 | + | 0.642788i | −0.0601861 | + | 0.0505022i | ||||
\(163\) | −10.5778 | + | 18.3214i | −0.828521 | + | 1.43504i | 0.0706773 | + | 0.997499i | \(0.477484\pi\) |
−0.899198 | + | 0.437541i | \(0.855849\pi\) | |||||||
\(164\) | −5.15657 | − | 8.93145i | −0.402661 | − | 0.697429i | ||||
\(165\) | 3.49273 | + | 1.27125i | 0.271908 | + | 0.0989665i | ||||
\(166\) | −3.13310 | + | 17.7687i | −0.243176 | + | 1.37912i | ||||
\(167\) | 1.05556 | + | 5.98638i | 0.0816817 | + | 0.463240i | 0.998023 | + | 0.0628427i | \(0.0200167\pi\) |
−0.916342 | + | 0.400397i | \(0.868872\pi\) | |||||||
\(168\) | 0.500000 | − | 0.181985i | 0.0385758 | − | 0.0140405i | ||||
\(169\) | −1.66250 | − | 1.39501i | −0.127885 | − | 0.107308i | ||||
\(170\) | −0.815207 | −0.0625236 | ||||||||
\(171\) | 2.52094 | − | 3.55596i | 0.192781 | − | 0.271931i | ||||
\(172\) | 4.42602 | 0.337481 | ||||||||
\(173\) | −11.2456 | − | 9.43615i | −0.854985 | − | 0.717417i | 0.105897 | − | 0.994377i | \(-0.466229\pi\) |
−0.960881 | + | 0.276960i | \(0.910673\pi\) | |||||||
\(174\) | −9.42262 | + | 3.42955i | −0.714327 | + | 0.259994i | ||||
\(175\) | 0.0923963 | + | 0.524005i | 0.00698450 | + | 0.0396111i | ||||
\(176\) | 0.645430 | − | 3.66041i | 0.0486511 | − | 0.275914i | ||||
\(177\) | −6.25150 | − | 2.27536i | −0.469891 | − | 0.171026i | ||||
\(178\) | 1.91875 | + | 3.32337i | 0.143816 | + | 0.249097i | ||||
\(179\) | 5.51754 | − | 9.55666i | 0.412400 | − | 0.714298i | −0.582751 | − | 0.812651i | \(-0.698024\pi\) |
0.995152 | + | 0.0983522i | \(0.0313572\pi\) | |||||||
\(180\) | −0.766044 | + | 0.642788i | −0.0570976 | + | 0.0479106i | ||||
\(181\) | 1.89053 | − | 1.58634i | 0.140522 | − | 0.117912i | −0.569817 | − | 0.821771i | \(-0.692986\pi\) |
0.710339 | + | 0.703860i | \(0.248542\pi\) | |||||||
\(182\) | 0.875515 | − | 1.51644i | 0.0648975 | − | 0.112406i | ||||
\(183\) | −7.16637 | − | 12.4125i | −0.529754 | − | 0.917560i | ||||
\(184\) | −5.48545 | − | 1.99654i | −0.404393 | − | 0.147187i | ||||
\(185\) | 1.39646 | − | 7.91971i | 0.102670 | − | 0.582269i | ||||
\(186\) | −1.63429 | − | 9.26849i | −0.119832 | − | 0.679599i | ||||
\(187\) | 2.84730 | − | 1.03633i | 0.208215 | − | 0.0757840i | ||||
\(188\) | −8.35117 | − | 7.00746i | −0.609071 | − | 0.511072i | ||||
\(189\) | 0.532089 | 0.0387038 | ||||||||
\(190\) | 2.52094 | − | 3.55596i | 0.182889 | − | 0.257976i | ||||
\(191\) | 6.14796 | 0.444850 | 0.222425 | − | 0.974950i | \(-0.428603\pi\) | ||||
0.222425 | + | 0.974950i | \(0.428603\pi\) | |||||||
\(192\) | 0.766044 | + | 0.642788i | 0.0552845 | + | 0.0463892i | ||||
\(193\) | 3.05051 | − | 1.11029i | 0.219580 | − | 0.0799207i | −0.229888 | − | 0.973217i | \(-0.573836\pi\) |
0.449468 | + | 0.893296i | \(0.351614\pi\) | |||||||
\(194\) | −0.456767 | − | 2.59045i | −0.0327939 | − | 0.185984i | ||||
\(195\) | −0.571452 | + | 3.24086i | −0.0409225 | + | 0.232083i | ||||
\(196\) | 6.31180 | + | 2.29731i | 0.450843 | + | 0.164093i | ||||
\(197\) | 5.98932 | + | 10.3738i | 0.426722 | + | 0.739103i | 0.996579 | − | 0.0826398i | \(-0.0263351\pi\) |
−0.569858 | + | 0.821743i | \(0.693002\pi\) | |||||||
\(198\) | 1.85844 | − | 3.21891i | 0.132074 | − | 0.228758i | ||||
\(199\) | −13.0307 | + | 10.9341i | −0.923725 | + | 0.775097i | −0.974680 | − | 0.223604i | \(-0.928218\pi\) |
0.0509552 | + | 0.998701i | \(0.483773\pi\) | |||||||
\(200\) | −0.766044 | + | 0.642788i | −0.0541675 | + | 0.0454519i | ||||
\(201\) | −2.55690 | + | 4.42869i | −0.180350 | + | 0.312376i | ||||
\(202\) | −6.44222 | − | 11.1583i | −0.453273 | − | 0.785092i | ||||
\(203\) | 5.01367 | + | 1.82483i | 0.351891 | + | 0.128078i | ||||
\(204\) | −0.141559 | + | 0.802823i | −0.00991113 | + | 0.0562088i | ||||
\(205\) | −1.79086 | − | 10.1565i | −0.125079 | − | 0.709359i | ||||
\(206\) | −9.89053 | + | 3.59986i | −0.689106 | + | 0.250814i | ||||
\(207\) | −4.47178 | − | 3.75227i | −0.310810 | − | 0.260801i | ||||
\(208\) | 3.29086 | 0.228180 | ||||||||
\(209\) | −4.28446 | + | 15.6247i | −0.296362 | + | 1.08079i | ||||
\(210\) | 0.532089 | 0.0367176 | ||||||||
\(211\) | 6.47178 | + | 5.43047i | 0.445536 | + | 0.373849i | 0.837776 | − | 0.546014i | \(-0.183855\pi\) |
−0.392240 | + | 0.919863i | \(0.628300\pi\) | |||||||
\(212\) | 0.979055 | − | 0.356347i | 0.0672418 | − | 0.0244740i | ||||
\(213\) | 0.595800 | + | 3.37895i | 0.0408235 | + | 0.231522i | ||||
\(214\) | −1.15270 | + | 6.53731i | −0.0787972 | + | 0.446881i | ||||
\(215\) | 4.15910 | + | 1.51379i | 0.283648 | + | 0.103240i | ||||
\(216\) | 0.500000 | + | 0.866025i | 0.0340207 | + | 0.0589256i | ||||
\(217\) | −2.50387 | + | 4.33683i | −0.169974 | + | 0.294403i | ||||
\(218\) | −8.71554 | + | 7.31320i | −0.590291 | + | 0.495313i | ||||
\(219\) | 0.832282 | − | 0.698367i | 0.0562404 | − | 0.0471913i | ||||
\(220\) | 1.85844 | − | 3.21891i | 0.125296 | − | 0.217019i | ||||
\(221\) | 1.34137 | + | 2.32332i | 0.0902301 | + | 0.156283i | ||||
\(222\) | −7.55690 | − | 2.75049i | −0.507186 | − | 0.184601i | ||||
\(223\) | −1.19800 | + | 6.79417i | −0.0802238 | + | 0.454972i | 0.918062 | + | 0.396438i | \(0.129754\pi\) |
−0.998285 | + | 0.0585339i | \(0.981357\pi\) | |||||||
\(224\) | −0.0923963 | − | 0.524005i | −0.00617349 | − | 0.0350116i | ||||
\(225\) | −0.939693 | + | 0.342020i | −0.0626462 | + | 0.0228013i | ||||
\(226\) | −1.87939 | − | 1.57699i | −0.125015 | − | 0.104900i | ||||
\(227\) | 14.3182 | 0.950332 | 0.475166 | − | 0.879896i | \(-0.342388\pi\) | ||||
0.475166 | + | 0.879896i | \(0.342388\pi\) | |||||||
\(228\) | −3.06418 | − | 3.10013i | −0.202930 | − | 0.205311i | ||||
\(229\) | −14.6236 | −0.966355 | −0.483178 | − | 0.875522i | \(-0.660517\pi\) | ||||
−0.483178 | + | 0.875522i | \(0.660517\pi\) | |||||||
\(230\) | −4.47178 | − | 3.75227i | −0.294861 | − | 0.247417i | ||||
\(231\) | −1.85844 | + | 0.676417i | −0.122276 | + | 0.0445050i | ||||
\(232\) | 1.74123 | + | 9.87500i | 0.114317 | + | 0.648326i | ||||
\(233\) | 0.554378 | − | 3.14403i | 0.0363185 | − | 0.205972i | −0.961249 | − | 0.275682i | \(-0.911096\pi\) |
0.997567 | + | 0.0697099i | \(0.0222074\pi\) | |||||||
\(234\) | 3.09240 | + | 1.12554i | 0.202156 | + | 0.0735789i | ||||
\(235\) | −5.45084 | − | 9.44113i | −0.355573 | − | 0.615871i | ||||
\(236\) | −3.32635 | + | 5.76141i | −0.216527 | + | 0.375036i | ||||
\(237\) | 9.67024 | − | 8.11430i | 0.628150 | − | 0.527080i | ||||
\(238\) | 0.332282 | − | 0.278817i | 0.0215386 | − | 0.0180730i | ||||
\(239\) | 9.84002 | − | 17.0434i | 0.636498 | − | 1.10245i | −0.349697 | − | 0.936863i | \(-0.613716\pi\) |
0.986196 | − | 0.165584i | \(-0.0529510\pi\) | |||||||
\(240\) | 0.500000 | + | 0.866025i | 0.0322749 | + | 0.0559017i | ||||
\(241\) | −11.0287 | − | 4.01411i | −0.710420 | − | 0.258572i | −0.0385668 | − | 0.999256i | \(-0.512279\pi\) |
−0.671853 | + | 0.740684i | \(0.734501\pi\) | |||||||
\(242\) | −0.488856 | + | 2.77244i | −0.0314248 | + | 0.178219i | ||||
\(243\) | 0.173648 | + | 0.984808i | 0.0111395 | + | 0.0631754i | ||||
\(244\) | −13.4684 | + | 4.90209i | −0.862225 | + | 0.313824i | ||||
\(245\) | 5.14543 | + | 4.31753i | 0.328729 | + | 0.275837i | ||||
\(246\) | −10.3131 | −0.657542 | ||||||||
\(247\) | −14.2824 | − | 1.33353i | −0.908768 | − | 0.0848506i | ||||
\(248\) | −9.41147 | −0.597629 | ||||||||
\(249\) | 13.8216 | + | 11.5977i | 0.875909 | + | 0.734975i | ||||
\(250\) | −0.939693 | + | 0.342020i | −0.0594314 | + | 0.0216313i | ||||
\(251\) | −3.12108 | − | 17.7005i | −0.197001 | − | 1.11725i | −0.909540 | − | 0.415616i | \(-0.863566\pi\) |
0.712539 | − | 0.701632i | \(-0.247545\pi\) | |||||||
\(252\) | 0.0923963 | − | 0.524005i | 0.00582042 | − | 0.0330092i | ||||
\(253\) | 20.3888 | + | 7.42091i | 1.28183 | + | 0.466548i | ||||
\(254\) | −1.23055 | − | 2.13138i | −0.0772117 | − | 0.133735i | ||||
\(255\) | −0.407604 | + | 0.705990i | −0.0255251 | + | 0.0442108i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −23.2108 | + | 19.4762i | −1.44785 | + | 1.21489i | −0.513719 | + | 0.857959i | \(0.671732\pi\) |
−0.934131 | + | 0.356931i | \(0.883823\pi\) | |||||||
\(258\) | 2.21301 | − | 3.83305i | 0.137776 | − | 0.238635i | ||||
\(259\) | 2.13950 | + | 3.70572i | 0.132942 | + | 0.230262i | ||||
\(260\) | 3.09240 | + | 1.12554i | 0.191782 | + | 0.0698030i | ||||
\(261\) | −1.74123 | + | 9.87500i | −0.107779 | + | 0.611247i | ||||
\(262\) | −0.985452 | − | 5.58878i | −0.0608814 | − | 0.345276i | ||||
\(263\) | 14.6420 | − | 5.32926i | 0.902866 | − | 0.328616i | 0.151465 | − | 0.988463i | \(-0.451601\pi\) |
0.751401 | + | 0.659846i | \(0.229379\pi\) | |||||||
\(264\) | −2.84730 | − | 2.38917i | −0.175239 | − | 0.147043i | ||||
\(265\) | 1.04189 | 0.0640027 | ||||||||
\(266\) | 0.188663 | + | 2.31164i | 0.0115677 | + | 0.141735i | ||||
\(267\) | 3.83750 | 0.234851 | ||||||||
\(268\) | 3.91740 | + | 3.28709i | 0.239294 | + | 0.200791i | ||||
\(269\) | −24.2592 | + | 8.82964i | −1.47911 | + | 0.538353i | −0.950558 | − | 0.310547i | \(-0.899488\pi\) |
−0.528554 | + | 0.848900i | \(0.677266\pi\) | |||||||
\(270\) | 0.173648 | + | 0.984808i | 0.0105679 | + | 0.0599335i | ||||
\(271\) | −2.19846 | + | 12.4681i | −0.133547 | + | 0.757383i | 0.842313 | + | 0.538988i | \(0.181193\pi\) |
−0.975860 | + | 0.218395i | \(0.929918\pi\) | |||||||
\(272\) | 0.766044 | + | 0.278817i | 0.0464483 | + | 0.0169058i | ||||
\(273\) | −0.875515 | − | 1.51644i | −0.0529886 | − | 0.0917789i | ||||
\(274\) | 10.0103 | − | 17.3383i | 0.604742 | − | 1.04744i | ||||
\(275\) | 2.84730 | − | 2.38917i | 0.171698 | − | 0.144072i | ||||
\(276\) | −4.47178 | + | 3.75227i | −0.269170 | + | 0.225860i | ||||
\(277\) | −10.7267 | + | 18.5792i | −0.644504 | + | 1.11631i | 0.339912 | + | 0.940457i | \(0.389603\pi\) |
−0.984416 | + | 0.175856i | \(0.943731\pi\) | |||||||
\(278\) | −5.36097 | − | 9.28547i | −0.321529 | − | 0.556905i | ||||
\(279\) | −8.84389 | − | 3.21891i | −0.529470 | − | 0.192711i | ||||
\(280\) | 0.0923963 | − | 0.524005i | 0.00552173 | − | 0.0313153i | ||||
\(281\) | 1.57604 | + | 8.93815i | 0.0940185 | + | 0.533205i | 0.995044 | + | 0.0994387i | \(0.0317047\pi\) |
−0.901025 | + | 0.433767i | \(0.857184\pi\) | |||||||
\(282\) | −10.2442 | + | 3.72859i | −0.610035 | + | 0.222034i | ||||
\(283\) | 15.0025 | + | 12.5886i | 0.891808 | + | 0.748315i | 0.968572 | − | 0.248734i | \(-0.0800144\pi\) |
−0.0767643 | + | 0.997049i | \(0.524459\pi\) | |||||||
\(284\) | 3.43107 | 0.203597 | ||||||||
\(285\) | −1.81908 | − | 3.96118i | −0.107753 | − | 0.234640i | ||||
\(286\) | −12.2317 | −0.723278 | ||||||||
\(287\) | 4.20368 | + | 3.52730i | 0.248135 | + | 0.208210i | ||||
\(288\) | 0.939693 | − | 0.342020i | 0.0553719 | − | 0.0201537i | ||||
\(289\) | −2.83662 | − | 16.0873i | −0.166860 | − | 0.946310i | ||||
\(290\) | −1.74123 | + | 9.87500i | −0.102249 | + | 0.579880i | ||||
\(291\) | −2.47178 | − | 0.899655i | −0.144898 | − | 0.0527387i | ||||
\(292\) | −0.543233 | − | 0.940908i | −0.0317903 | − | 0.0550625i | ||||
\(293\) | 4.17365 | − | 7.22897i | 0.243827 | − | 0.422321i | −0.717974 | − | 0.696070i | \(-0.754930\pi\) |
0.961801 | + | 0.273749i | \(0.0882637\pi\) | |||||||
\(294\) | 5.14543 | − | 4.31753i | 0.300088 | − | 0.251803i | ||||
\(295\) | −5.09627 | + | 4.27628i | −0.296716 | + | 0.248974i | ||||
\(296\) | −4.02094 | + | 6.96448i | −0.233713 | + | 0.404802i | ||||
\(297\) | −1.85844 | − | 3.21891i | −0.107838 | − | 0.186780i | ||||
\(298\) | −0.405078 | − | 0.147436i | −0.0234655 | − | 0.00854075i | ||||
\(299\) | −3.33585 | + | 18.9185i | −0.192917 | + | 1.09409i | ||||
\(300\) | 0.173648 | + | 0.984808i | 0.0100256 | + | 0.0568579i | ||||
\(301\) | −2.21301 | + | 0.805470i | −0.127556 | + | 0.0464265i | ||||
\(302\) | −8.50774 | − | 7.13884i | −0.489565 | − | 0.410794i | ||||
\(303\) | −12.8844 | −0.740192 | ||||||||
\(304\) | −3.58512 | + | 2.47929i | −0.205621 | + | 0.142197i | ||||
\(305\) | −14.3327 | −0.820691 | ||||||||
\(306\) | 0.624485 | + | 0.524005i | 0.0356994 | + | 0.0299554i | ||||
\(307\) | −18.2160 | + | 6.63008i | −1.03964 | + | 0.378399i | −0.804745 | − | 0.593621i | \(-0.797698\pi\) |
−0.234898 | + | 0.972020i | \(0.575476\pi\) | |||||||
\(308\) | 0.343426 | + | 1.94767i | 0.0195685 | + | 0.110979i | ||||
\(309\) | −1.82770 | + | 10.3654i | −0.103974 | + | 0.589666i | ||||
\(310\) | −8.84389 | − | 3.21891i | −0.502299 | − | 0.182822i | ||||
\(311\) | −10.3045 | − | 17.8480i | −0.584316 | − | 1.01207i | −0.994960 | − | 0.100270i | \(-0.968029\pi\) |
0.410644 | − | 0.911796i | \(-0.365304\pi\) | |||||||
\(312\) | 1.64543 | − | 2.84997i | 0.0931541 | − | 0.161348i | ||||
\(313\) | −17.4179 | + | 14.6153i | −0.984516 | + | 0.826107i | −0.984765 | − | 0.173893i | \(-0.944365\pi\) |
0.000248337 | 1.00000i | \(0.499921\pi\) | ||||||||
\(314\) | 12.5005 | − | 10.4891i | 0.705442 | − | 0.591936i | ||||
\(315\) | 0.266044 | − | 0.460802i | 0.0149899 | − | 0.0259633i | ||||
\(316\) | −6.31180 | − | 10.9324i | −0.355067 | − | 0.614994i | ||||
\(317\) | 7.24422 | + | 2.63668i | 0.406876 | + | 0.148091i | 0.537347 | − | 0.843361i | \(-0.319427\pi\) |
−0.130471 | + | 0.991452i | \(0.541649\pi\) | |||||||
\(318\) | 0.180922 | − | 1.02606i | 0.0101456 | − | 0.0575386i | ||||
\(319\) | −6.47194 | − | 36.7042i | −0.362359 | − | 2.05504i | ||||
\(320\) | 0.939693 | − | 0.342020i | 0.0525304 | − | 0.0191195i | ||||
\(321\) | 5.08512 | + | 4.26692i | 0.283824 | + | 0.238156i | ||||
\(322\) | 3.10607 | 0.173094 | ||||||||
\(323\) | −3.21167 | − | 1.52049i | −0.178702 | − | 0.0846025i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 2.52094 | + | 2.11532i | 0.139837 | + | 0.117337i | ||||
\(326\) | 19.8799 | − | 7.23567i | 1.10104 | − | 0.400747i | ||||
\(327\) | 1.97565 | + | 11.2045i | 0.109254 | + | 0.619609i | ||||
\(328\) | −1.79086 | + | 10.1565i | −0.0988837 | + | 0.560797i | ||||
\(329\) | 5.45084 | + | 1.98394i | 0.300514 | + | 0.109378i | ||||
\(330\) | −1.85844 | − | 3.21891i | −0.102304 | − | 0.177195i | ||||
\(331\) | −3.48633 | + | 6.03850i | −0.191626 | + | 0.331906i | −0.945789 | − | 0.324781i | \(-0.894709\pi\) |
0.754163 | + | 0.656687i | \(0.228043\pi\) | |||||||
\(332\) | 13.8216 | − | 11.5977i | 0.758559 | − | 0.636507i | ||||
\(333\) | −6.16044 | + | 5.16923i | −0.337590 | + | 0.283272i | ||||
\(334\) | 3.03936 | − | 5.26433i | 0.166307 | − | 0.288051i | ||||
\(335\) | 2.55690 | + | 4.42869i | 0.139699 | + | 0.241965i | ||||
\(336\) | −0.500000 | − | 0.181985i | −0.0272772 | − | 0.00992810i | ||||
\(337\) | 4.02734 | − | 22.8402i | 0.219383 | − | 1.24418i | −0.653753 | − | 0.756708i | \(-0.726806\pi\) |
0.873136 | − | 0.487476i | \(-0.162082\pi\) | |||||||
\(338\) | 0.376859 | + | 2.13727i | 0.0204984 | + | 0.116252i | ||||
\(339\) | −2.30541 | + | 0.839100i | −0.125213 | + | 0.0455736i | ||||
\(340\) | 0.624485 | + | 0.524005i | 0.0338675 | + | 0.0284182i | ||||
\(341\) | 34.9813 | 1.89435 | ||||||||
\(342\) | −4.21688 | + | 1.10359i | −0.228023 | + | 0.0596753i | ||||
\(343\) | −7.29860 | −0.394087 | ||||||||
\(344\) | −3.39053 | − | 2.84499i | −0.182805 | − | 0.153392i | ||||
\(345\) | −5.48545 | + | 1.99654i | −0.295327 | + | 0.107490i | ||||
\(346\) | 2.54916 | + | 14.4570i | 0.137044 | + | 0.777214i | ||||
\(347\) | −0.192066 | + | 1.08926i | −0.0103107 | + | 0.0584747i | −0.989529 | − | 0.144334i | \(-0.953896\pi\) |
0.979218 | + | 0.202809i | \(0.0650071\pi\) | |||||||
\(348\) | 9.42262 | + | 3.42955i | 0.505105 | + | 0.183843i | ||||
\(349\) | −13.8293 | − | 23.9531i | −0.740268 | − | 1.28218i | −0.952373 | − | 0.304935i | \(-0.901365\pi\) |
0.212105 | − | 0.977247i | \(-0.431968\pi\) | |||||||
\(350\) | 0.266044 | − | 0.460802i | 0.0142207 | − | 0.0246309i | ||||
\(351\) | 2.52094 | − | 2.11532i | 0.134558 | − | 0.112908i | ||||
\(352\) | −2.84730 | + | 2.38917i | −0.151761 | + | 0.127343i | ||||
\(353\) | 5.02734 | − | 8.70761i | 0.267578 | − | 0.463459i | −0.700658 | − | 0.713498i | \(-0.747110\pi\) |
0.968236 | + | 0.250038i | \(0.0804432\pi\) | |||||||
\(354\) | 3.32635 | + | 5.76141i | 0.176794 | + | 0.306216i | ||||
\(355\) | 3.22416 | + | 1.17350i | 0.171120 | + | 0.0622827i | ||||
\(356\) | 0.666374 | − | 3.77920i | 0.0353178 | − | 0.200297i | ||||
\(357\) | −0.0753221 | − | 0.427173i | −0.00398647 | − | 0.0226084i | ||||
\(358\) | −10.3696 | + | 3.77422i | −0.548050 | + | 0.199474i | ||||
\(359\) | 14.3537 | + | 12.0442i | 0.757559 | + | 0.635667i | 0.937490 | − | 0.348012i | \(-0.113143\pi\) |
−0.179931 | + | 0.983679i | \(0.557588\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | 16.5642 | − | 9.30742i | 0.871799 | − | 0.489864i | ||||
\(362\) | −2.46791 | −0.129711 | ||||||||
\(363\) | 2.15657 | + | 1.80958i | 0.113191 | + | 0.0949783i | ||||
\(364\) | −1.64543 | + | 0.598887i | −0.0862439 | + | 0.0313902i | ||||
\(365\) | −0.188663 | − | 1.06996i | −0.00987507 | − | 0.0560043i | ||||
\(366\) | −2.48886 | + | 14.1150i | −0.130095 | + | 0.737803i | ||||
\(367\) | −31.8187 | − | 11.5810i | −1.66092 | − | 0.604526i | −0.670414 | − | 0.741987i | \(-0.733883\pi\) |
−0.990507 | + | 0.137462i | \(0.956106\pi\) | |||||||
\(368\) | 2.91875 | + | 5.05542i | 0.152150 | + | 0.263532i | ||||
\(369\) | −5.15657 | + | 8.93145i | −0.268441 | + | 0.464953i | ||||
\(370\) | −6.16044 | + | 5.16923i | −0.320266 | + | 0.268735i | ||||
\(371\) | −0.424678 | + | 0.356347i | −0.0220482 | + | 0.0185006i | ||||
\(372\) | −4.70574 | + | 8.15058i | −0.243981 | + | 0.422588i | ||||
\(373\) | 0.300660 | + | 0.520758i | 0.0155676 | + | 0.0269638i | 0.873704 | − | 0.486458i | \(-0.161711\pi\) |
−0.858137 | + | 0.513421i | \(0.828378\pi\) | |||||||
\(374\) | −2.84730 | − | 1.03633i | −0.147230 | − | 0.0535874i | ||||
\(375\) | −0.173648 | + | 0.984808i | −0.00896715 | + | 0.0508553i | ||||
\(376\) | 1.89306 | + | 10.7361i | 0.0976269 | + | 0.553670i | ||||
\(377\) | 31.0085 | − | 11.2862i | 1.59702 | − | 0.581268i | ||||
\(378\) | −0.407604 | − | 0.342020i | −0.0209649 | − | 0.0175916i | ||||
\(379\) | 1.82976 | 0.0939882 | 0.0469941 | − | 0.998895i | \(-0.485036\pi\) | ||||
0.0469941 | + | 0.998895i | \(0.485036\pi\) | |||||||
\(380\) | −4.21688 | + | 1.10359i | −0.216321 | + | 0.0566130i | ||||
\(381\) | −2.46110 | −0.126086 | ||||||||
\(382\) | −4.70961 | − | 3.95183i | −0.240964 | − | 0.202193i | ||||
\(383\) | −28.3653 | + | 10.3241i | −1.44940 | + | 0.527538i | −0.942423 | − | 0.334422i | \(-0.891459\pi\) |
−0.506976 | + | 0.861960i | \(0.669237\pi\) | |||||||
\(384\) | −0.173648 | − | 0.984808i | −0.00886145 | − | 0.0502558i | ||||
\(385\) | −0.343426 | + | 1.94767i | −0.0175026 | + | 0.0992622i | ||||
\(386\) | −3.05051 | − | 1.11029i | −0.155267 | − | 0.0565125i | ||||
\(387\) | −2.21301 | − | 3.83305i | −0.112494 | − | 0.194845i | ||||
\(388\) | −1.31521 | + | 2.27801i | −0.0667695 | + | 0.115648i | ||||
\(389\) | −2.17886 | + | 1.82828i | −0.110473 | + | 0.0926976i | −0.696351 | − | 0.717702i | \(-0.745194\pi\) |
0.585878 | + | 0.810399i | \(0.300750\pi\) | |||||||
\(390\) | 2.52094 | − | 2.11532i | 0.127653 | − | 0.107114i | ||||
\(391\) | −2.37939 | + | 4.12122i | −0.120331 | + | 0.208419i | ||||
\(392\) | −3.35844 | − | 5.81699i | −0.169627 | − | 0.293802i | ||||
\(393\) | −5.33275 | − | 1.94096i | −0.269002 | − | 0.0979086i | ||||
\(394\) | 2.08007 | − | 11.7967i | 0.104792 | − | 0.594307i | ||||
\(395\) | −2.19207 | − | 12.4318i | −0.110295 | − | 0.625513i | ||||
\(396\) | −3.49273 | + | 1.27125i | −0.175516 | + | 0.0638826i | ||||
\(397\) | 7.22462 | + | 6.06218i | 0.362593 | + | 0.304252i | 0.805823 | − | 0.592156i | \(-0.201723\pi\) |
−0.443230 | + | 0.896408i | \(0.646168\pi\) | |||||||
\(398\) | 17.0104 | 0.852656 | ||||||||
\(399\) | 2.09627 | + | 0.992431i | 0.104945 | + | 0.0496837i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 8.69640 | + | 7.29715i | 0.434278 | + | 0.364402i | 0.833563 | − | 0.552425i | \(-0.186297\pi\) |
−0.399285 | + | 0.916827i | \(0.630742\pi\) | |||||||
\(402\) | 4.80541 | − | 1.74903i | 0.239672 | − | 0.0872334i | ||||
\(403\) | 5.37820 | + | 30.5013i | 0.267907 | + | 1.51938i | ||||
\(404\) | −2.23736 | + | 12.6887i | −0.111313 | + | 0.631286i | ||||
\(405\) | 0.939693 | + | 0.342020i | 0.0466937 | + | 0.0169951i | ||||
\(406\) | −2.66772 | − | 4.62062i | −0.132397 | − | 0.229318i | ||||
\(407\) | 14.9454 | − | 25.8861i | 0.740815 | − | 1.28313i | ||||
\(408\) | 0.624485 | − | 0.524005i | 0.0309166 | − | 0.0259421i | ||||
\(409\) | 12.6079 | − | 10.5793i | 0.623419 | − | 0.523111i | −0.275457 | − | 0.961313i | \(-0.588829\pi\) |
0.898876 | + | 0.438202i | \(0.144385\pi\) | |||||||
\(410\) | −5.15657 | + | 8.93145i | −0.254665 | + | 0.441093i | ||||
\(411\) | −10.0103 | − | 17.3383i | −0.493770 | − | 0.855235i | ||||
\(412\) | 9.89053 | + | 3.59986i | 0.487271 | + | 0.177352i | ||||
\(413\) | 0.614685 | − | 3.48605i | 0.0302467 | − | 0.171537i | ||||
\(414\) | 1.01367 | + | 5.74881i | 0.0498192 | + | 0.282539i | ||||
\(415\) | 16.9547 | − | 6.17101i | 0.832274 | − | 0.302923i | ||||
\(416\) | −2.52094 | − | 2.11532i | −0.123599 | − | 0.103712i | ||||
\(417\) | −10.7219 | −0.525055 | ||||||||
\(418\) | 13.3255 | − | 9.21524i | 0.651770 | − | 0.450732i | ||||
\(419\) | 0.00505244 | 0.000246828 | 0.000123414 | − | 1.00000i | \(-0.499961\pi\) | ||||
0.000123414 | 1.00000i | \(0.499961\pi\) | ||||||||
\(420\) | −0.407604 | − | 0.342020i | −0.0198890 | − | 0.0166889i | ||||
\(421\) | −10.3366 | + | 3.76222i | −0.503776 | + | 0.183359i | −0.581392 | − | 0.813624i | \(-0.697492\pi\) |
0.0776156 | + | 0.996983i | \(0.475269\pi\) | |||||||
\(422\) | −1.46703 | − | 8.31996i | −0.0714141 | − | 0.405009i | ||||
\(423\) | −1.89306 | + | 10.7361i | −0.0920435 | + | 0.522005i | ||||
\(424\) | −0.979055 | − | 0.356347i | −0.0475471 | − | 0.0173057i | ||||
\(425\) | 0.407604 | + | 0.705990i | 0.0197717 | + | 0.0342456i | ||||
\(426\) | 1.71554 | − | 2.97140i | 0.0831181 | − | 0.143965i | ||||
\(427\) | 5.84208 | − | 4.90209i | 0.282718 | − | 0.237229i | ||||
\(428\) | 5.08512 | − | 4.26692i | 0.245799 | − | 0.206250i | ||||
\(429\) | −6.11587 | + | 10.5930i | −0.295277 | + | 0.511434i | ||||
\(430\) | −2.21301 | − | 3.83305i | −0.106721 | − | 0.184846i | ||||
\(431\) | −33.6313 | − | 12.2408i | −1.61997 | − | 0.589619i | −0.636590 | − | 0.771203i | \(-0.719655\pi\) |
−0.983375 | + | 0.181584i | \(0.941878\pi\) | |||||||
\(432\) | 0.173648 | − | 0.984808i | 0.00835465 | − | 0.0473816i | ||||
\(433\) | 4.05762 | + | 23.0119i | 0.194997 | + | 1.10588i | 0.912423 | + | 0.409247i | \(0.134209\pi\) |
−0.717427 | + | 0.696634i | \(0.754680\pi\) | |||||||
\(434\) | 4.70574 | − | 1.71275i | 0.225883 | − | 0.0822145i | ||||
\(435\) | 7.68139 | + | 6.44545i | 0.368294 | + | 0.309036i | ||||
\(436\) | 11.3773 | 0.544875 | ||||||||
\(437\) | −10.6189 | − | 23.1234i | −0.507969 | − | 1.10614i | ||||
\(438\) | −1.08647 | −0.0519134 | ||||||||
\(439\) | 14.3229 | + | 12.0184i | 0.683597 | + | 0.573606i | 0.917055 | − | 0.398761i | \(-0.130560\pi\) |
−0.233458 | + | 0.972367i | \(0.575004\pi\) | |||||||
\(440\) | −3.49273 | + | 1.27125i | −0.166509 | + | 0.0606044i | ||||
\(441\) | −1.16637 | − | 6.61484i | −0.0555416 | − | 0.314992i | ||||
\(442\) | 0.465852 | − | 2.64198i | 0.0221583 | − | 0.125666i | ||||
\(443\) | 10.4667 | + | 3.80958i | 0.497289 | + | 0.180999i | 0.578474 | − | 0.815701i | \(-0.303648\pi\) |
−0.0811851 | + | 0.996699i | \(0.525870\pi\) | |||||||
\(444\) | 4.02094 | + | 6.96448i | 0.190826 | + | 0.330520i | ||||
\(445\) | 1.91875 | − | 3.32337i | 0.0909574 | − | 0.157543i | ||||
\(446\) | 5.28493 | − | 4.43458i | 0.250249 | − | 0.209984i | ||||
\(447\) | −0.330222 | + | 0.277089i | −0.0156190 | + | 0.0131059i | ||||
\(448\) | −0.266044 | + | 0.460802i | −0.0125694 | + | 0.0217709i | ||||
\(449\) | −17.8576 | − | 30.9302i | −0.842751 | − | 1.45969i | −0.887560 | − | 0.460691i | \(-0.847602\pi\) |
0.0448100 | − | 0.998996i | \(-0.485732\pi\) | |||||||
\(450\) | 0.939693 | + | 0.342020i | 0.0442975 | + | 0.0161230i | ||||
\(451\) | 6.65641 | − | 37.7504i | 0.313438 | − | 1.77760i | ||||
\(452\) | 0.426022 | + | 2.41609i | 0.0200384 | + | 0.113643i | ||||
\(453\) | −10.4363 | + | 3.79850i | −0.490340 | + | 0.178469i | ||||
\(454\) | −10.9684 | − | 9.20356i | −0.514771 | − | 0.431945i | ||||
\(455\) | −1.75103 | −0.0820895 | ||||||||
\(456\) | 0.354570 | + | 4.34445i | 0.0166043 | + | 0.203448i | ||||
\(457\) | 30.8161 | 1.44152 | 0.720759 | − | 0.693186i | \(-0.243793\pi\) | ||||
0.720759 | + | 0.693186i | \(0.243793\pi\) | |||||||
\(458\) | 11.2023 | + | 9.39987i | 0.523451 | + | 0.439227i | ||||
\(459\) | 0.766044 | − | 0.278817i | 0.0357559 | − | 0.0130141i | ||||
\(460\) | 1.01367 | + | 5.74881i | 0.0472626 | + | 0.268040i | ||||
\(461\) | 0.509962 | − | 2.89214i | 0.0237513 | − | 0.134700i | −0.970626 | − | 0.240592i | \(-0.922658\pi\) |
0.994378 | + | 0.105891i | \(0.0337696\pi\) | |||||||
\(462\) | 1.85844 | + | 0.676417i | 0.0864625 | + | 0.0314698i | ||||
\(463\) | 3.82753 | + | 6.62948i | 0.177881 | + | 0.308098i | 0.941154 | − | 0.337977i | \(-0.109743\pi\) |
−0.763274 | + | 0.646075i | \(0.776409\pi\) | |||||||
\(464\) | 5.01367 | − | 8.68393i | 0.232754 | − | 0.403141i | ||||
\(465\) | −7.20961 | + | 6.04958i | −0.334338 | + | 0.280543i | ||||
\(466\) | −2.44562 | + | 2.05212i | −0.113291 | + | 0.0950627i | ||||
\(467\) | −5.92649 | + | 10.2650i | −0.274245 | + | 0.475007i | −0.969944 | − | 0.243327i | \(-0.921761\pi\) |
0.695699 | + | 0.718333i | \(0.255095\pi\) | |||||||
\(468\) | −1.64543 | − | 2.84997i | −0.0760600 | − | 0.131740i | ||||
\(469\) | −2.55690 | − | 0.930637i | −0.118067 | − | 0.0429728i | ||||
\(470\) | −1.89306 | + | 10.7361i | −0.0873202 | + | 0.495217i | ||||
\(471\) | −2.83363 | − | 16.0703i | −0.130567 | − | 0.740480i | ||||
\(472\) | 6.25150 | − | 2.27536i | 0.287748 | − | 0.104732i | ||||
\(473\) | 12.6022 | + | 10.5745i | 0.579450 | + | 0.486216i | ||||
\(474\) | −12.6236 | −0.579822 | ||||||||
\(475\) | −4.34002 | − | 0.405223i | −0.199134 | − | 0.0185929i | ||||
\(476\) | −0.433763 | −0.0198815 | ||||||||
\(477\) | −0.798133 | − | 0.669713i | −0.0365440 | − | 0.0306641i | ||||
\(478\) | −18.4932 | + | 6.73097i | −0.845859 | + | 0.307867i | ||||
\(479\) | −1.34848 | − | 7.64760i | −0.0616136 | − | 0.349428i | −0.999993 | − | 0.00382028i | \(-0.998784\pi\) |
0.938379 | − | 0.345608i | \(-0.112327\pi\) | |||||||
\(480\) | 0.173648 | − | 0.984808i | 0.00792592 | − | 0.0449501i | ||||
\(481\) | 24.8687 | + | 9.05147i | 1.13392 | + | 0.412711i | ||||
\(482\) | 5.86824 | + | 10.1641i | 0.267291 | + | 0.462962i | ||||
\(483\) | 1.55303 | − | 2.68993i | 0.0706655 | − | 0.122396i | ||||
\(484\) | 2.15657 | − | 1.80958i | 0.0980261 | − | 0.0822537i | ||||
\(485\) | −2.01501 | + | 1.69080i | −0.0914971 | + | 0.0767752i | ||||
\(486\) | 0.500000 | − | 0.866025i | 0.0226805 | − | 0.0392837i | ||||
\(487\) | −0.476529 | − | 0.825373i | −0.0215936 | − | 0.0374012i | 0.855027 | − | 0.518584i | \(-0.173541\pi\) |
−0.876620 | + | 0.481183i | \(0.840207\pi\) | |||||||
\(488\) | 13.4684 | + | 4.90209i | 0.609685 | + | 0.221907i | ||||
\(489\) | 3.67365 | − | 20.8343i | 0.166128 | − | 0.942159i | ||||
\(490\) | −1.16637 | − | 6.61484i | −0.0526914 | − | 0.298828i | ||||
\(491\) | 19.5116 | − | 7.10165i | 0.880547 | − | 0.320493i | 0.138116 | − | 0.990416i | \(-0.455895\pi\) |
0.742430 | + | 0.669923i | \(0.233673\pi\) | |||||||
\(492\) | 7.90033 | + | 6.62916i | 0.356174 | + | 0.298866i | ||||
\(493\) | 8.17436 | 0.368155 | ||||||||
\(494\) | 10.0838 | + | 10.2021i | 0.453691 | + | 0.459014i | ||||
\(495\) | −3.71688 | −0.167061 | ||||||||
\(496\) | 7.20961 | + | 6.04958i | 0.323721 | + | 0.271634i | ||||
\(497\) | −1.71554 | + | 0.624404i | −0.0769524 | + | 0.0280084i | ||||
\(498\) | −3.13310 | − | 17.7687i | −0.140398 | − | 0.796235i | ||||
\(499\) | 0.980238 | − | 5.55920i | 0.0438815 | − | 0.248864i | −0.954974 | − | 0.296689i | \(-0.904118\pi\) |
0.998856 | + | 0.0478244i | \(0.0152288\pi\) | |||||||
\(500\) | 0.939693 | + | 0.342020i | 0.0420243 | + | 0.0152956i | ||||
\(501\) | −3.03936 | − | 5.26433i | −0.135789 | − | 0.235193i | ||||
\(502\) | −8.98680 | + | 15.5656i | −0.401100 | + | 0.694726i | ||||
\(503\) | 7.12701 | − | 5.98027i | 0.317778 | − | 0.266647i | −0.469920 | − | 0.882709i | \(-0.655717\pi\) |
0.787698 | + | 0.616062i | \(0.211273\pi\) | |||||||
\(504\) | −0.407604 | + | 0.342020i | −0.0181561 | + | 0.0152348i | ||||
\(505\) | −6.44222 | + | 11.1583i | −0.286675 | + | 0.496536i | ||||
\(506\) | −10.8486 | − | 18.7904i | −0.482281 | − | 0.835335i | ||||
\(507\) | 2.03936 | + | 0.742267i | 0.0905713 | + | 0.0329653i | ||||
\(508\) | −0.427366 | + | 2.42371i | −0.0189613 | + | 0.107535i | ||||
\(509\) | 4.31315 | + | 24.4611i | 0.191177 | + | 1.08422i | 0.917759 | + | 0.397138i | \(0.129997\pi\) |
−0.726582 | + | 0.687080i | \(0.758892\pi\) | |||||||
\(510\) | 0.766044 | − | 0.278817i | 0.0339210 | − | 0.0123462i | ||||
\(511\) | 0.442848 | + | 0.371593i | 0.0195904 | + | 0.0164383i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −1.15270 | + | 4.20372i | −0.0508931 | + | 0.185599i | ||||
\(514\) | 30.2995 | 1.33646 | ||||||||
\(515\) | 8.06283 | + | 6.76552i | 0.355291 | + | 0.298124i | ||||
\(516\) | −4.15910 | + | 1.51379i | −0.183094 | + | 0.0666408i | ||||
\(517\) | −7.03626 | − | 39.9046i | −0.309455 | − | 1.75500i | ||||
\(518\) | 0.743041 | − | 4.21399i | 0.0326473 | − | 0.185152i | ||||
\(519\) | 13.7947 | + | 5.02087i | 0.605521 | + | 0.220392i | ||||
\(520\) | −1.64543 | − | 2.84997i | −0.0721569 | − | 0.124979i | ||||
\(521\) | 0.896926 | − | 1.55352i | 0.0392951 | − | 0.0680610i | −0.845709 | − | 0.533644i | \(-0.820822\pi\) |
0.885004 | + | 0.465583i | \(0.154155\pi\) | |||||||
\(522\) | 7.68139 | − | 6.44545i | 0.336205 | − | 0.282110i | ||||
\(523\) | −21.5089 | + | 18.0481i | −0.940520 | + | 0.789190i | −0.977676 | − | 0.210120i | \(-0.932615\pi\) |
0.0371561 | + | 0.999309i | \(0.488170\pi\) | |||||||
\(524\) | −2.83750 | + | 4.91469i | −0.123957 | + | 0.214699i | ||||
\(525\) | −0.266044 | − | 0.460802i | −0.0116111 | − | 0.0201111i | ||||
\(526\) | −14.6420 | − | 5.32926i | −0.638423 | − | 0.232367i | ||||
\(527\) | −1.33228 | + | 7.55574i | −0.0580351 | + | 0.329133i | ||||
\(528\) | 0.645430 | + | 3.66041i | 0.0280887 | + | 0.159299i | ||||
\(529\) | −10.4084 | + | 3.78834i | −0.452538 | + | 0.164710i | ||||
\(530\) | −0.798133 | − | 0.669713i | −0.0346687 | − | 0.0290905i | ||||
\(531\) | 6.65270 | 0.288703 | ||||||||
\(532\) | 1.34137 | − | 1.89209i | 0.0581556 | − | 0.0820323i | ||||
\(533\) | 33.9391 | 1.47007 | ||||||||
\(534\) | −2.93969 | − | 2.46669i | −0.127213 | − | 0.106744i | ||||
\(535\) | 6.23783 | − | 2.27038i | 0.269685 | − | 0.0981572i | ||||
\(536\) | −0.888003 | − | 5.03612i | −0.0383559 | − | 0.217527i | ||||
\(537\) | −1.91622 | + | 10.8674i | −0.0826911 | + | 0.468964i | ||||
\(538\) | 24.2592 | + | 8.82964i | 1.04589 | + | 0.380673i | ||||
\(539\) | 12.4829 | + | 21.6211i | 0.537678 | + | 0.931285i | ||||
\(540\) | 0.500000 | − | 0.866025i | 0.0215166 | − | 0.0372678i | ||||
\(541\) | 29.4085 | − | 24.6767i | 1.26437 | − | 1.06093i | 0.269170 | − | 0.963093i | \(-0.413251\pi\) |
0.995202 | − | 0.0978411i | \(-0.0311937\pi\) | |||||||
\(542\) | 9.69846 | − | 8.13798i | 0.416585 | − | 0.349556i | ||||
\(543\) | −1.23396 | + | 2.13727i | −0.0529541 | + | 0.0917192i | ||||
\(544\) | −0.407604 | − | 0.705990i | −0.0174759 | − | 0.0302691i | ||||
\(545\) | 10.6912 | + | 3.89127i | 0.457960 | + | 0.166684i | ||||
\(546\) | −0.304063 | + | 1.72443i | −0.0130127 | + | 0.0737987i | ||||
\(547\) | 0.762174 | + | 4.32250i | 0.0325882 | + | 0.184817i | 0.996757 | − | 0.0804736i | \(-0.0256433\pi\) |
−0.964169 | + | 0.265290i | \(0.914532\pi\) | |||||||
\(548\) | −18.8131 | + | 6.84743i | −0.803658 | + | 0.292508i | ||||
\(549\) | 10.9795 | + | 9.21291i | 0.468595 | + | 0.393198i | ||||
\(550\) | −3.71688 | −0.158488 | ||||||||
\(551\) | −25.2784 | + | 35.6568i | −1.07689 | + | 1.51903i | ||||
\(552\) | 5.83750 | 0.248460 | ||||||||
\(553\) | 5.14543 | + | 4.31753i | 0.218806 | + | 0.183600i | ||||
\(554\) | 20.1596 | − | 7.33748i | 0.856498 | − | 0.311740i | ||||
\(555\) | 1.39646 | + | 7.91971i | 0.0592764 | + | 0.336173i | ||||
\(556\) | −1.86184 | + | 10.5590i | −0.0789598 | + | 0.447803i | ||||
\(557\) | 16.8182 | + | 6.12132i | 0.712610 | + | 0.259369i | 0.672785 | − | 0.739838i | \(-0.265098\pi\) |
0.0398248 | + | 0.999207i | \(0.487320\pi\) | |||||||
\(558\) | 4.70574 | + | 8.15058i | 0.199210 | + | 0.345041i | ||||
\(559\) | −7.28271 | + | 12.6140i | −0.308026 | + | 0.533516i | ||||
\(560\) | −0.407604 | + | 0.342020i | −0.0172244 | + | 0.0144530i | ||||
\(561\) | −2.32114 | + | 1.94767i | −0.0979985 | + | 0.0822305i | ||||
\(562\) | 4.53802 | − | 7.86008i | 0.191425 | − | 0.331557i | ||||
\(563\) | −12.6322 | − | 21.8797i | −0.532385 | − | 0.922118i | −0.999285 | − | 0.0378076i | \(-0.987963\pi\) |
0.466900 | − | 0.884310i | \(-0.345371\pi\) | |||||||
\(564\) | 10.2442 | + | 3.72859i | 0.431360 | + | 0.157002i | ||||
\(565\) | −0.426022 | + | 2.41609i | −0.0179229 | + | 0.101646i | ||||
\(566\) | −3.40080 | − | 19.2869i | −0.142946 | − | 0.810688i | ||||
\(567\) | −0.500000 | + | 0.181985i | −0.0209980 | + | 0.00764266i | ||||
\(568\) | −2.62836 | − | 2.20545i | −0.110283 | − | 0.0925387i | ||||
\(569\) | −4.44562 | −0.186370 | −0.0931851 | − | 0.995649i | \(-0.529705\pi\) | ||||
−0.0931851 | + | 0.995649i | \(0.529705\pi\) | |||||||
\(570\) | −1.15270 | + | 4.20372i | −0.0482814 | + | 0.176075i | ||||
\(571\) | 5.02641 | 0.210349 | 0.105174 | − | 0.994454i | \(-0.466460\pi\) | ||||
0.105174 | + | 0.994454i | \(0.466460\pi\) | |||||||
\(572\) | 9.37005 | + | 7.86241i | 0.391782 | + | 0.328744i | ||||
\(573\) | −5.77719 | + | 2.10272i | −0.241346 | + | 0.0878426i | ||||
\(574\) | −0.952896 | − | 5.40414i | −0.0397731 | − | 0.225565i | ||||
\(575\) | −1.01367 | + | 5.74881i | −0.0422730 | + | 0.239742i | ||||
\(576\) | −0.939693 | − | 0.342020i | −0.0391539 | − | 0.0142508i | ||||
\(577\) | −10.4693 | − | 18.1333i | −0.435841 | − | 0.754898i | 0.561523 | − | 0.827461i | \(-0.310216\pi\) |
−0.997364 | + | 0.0725627i | \(0.976882\pi\) | |||||||
\(578\) | −8.16772 | + | 14.1469i | −0.339732 | + | 0.588434i | ||||
\(579\) | −2.48680 | + | 2.08667i | −0.103348 | + | 0.0867190i | ||||
\(580\) | 7.68139 | − | 6.44545i | 0.318952 | − | 0.267633i | ||||
\(581\) | −4.80019 | + | 8.31418i | −0.199146 | + | 0.344930i | ||||
\(582\) | 1.31521 | + | 2.27801i | 0.0545171 | + | 0.0944264i | ||||
\(583\) | 3.63903 | + | 1.32450i | 0.150713 | + | 0.0548552i | ||||
\(584\) | −0.188663 | + | 1.06996i | −0.00780693 | + | 0.0442753i | ||||
\(585\) | −0.571452 | − | 3.24086i | −0.0236266 | − | 0.133993i | ||||
\(586\) | −7.84389 | + | 2.85494i | −0.324028 | + | 0.117937i | ||||
\(587\) | −22.4618 | − | 18.8477i | −0.927098 | − | 0.777928i | 0.0481957 | − | 0.998838i | \(-0.484653\pi\) |
−0.975294 | + | 0.220910i | \(0.929097\pi\) | |||||||
\(588\) | −6.71688 | −0.277000 | ||||||||
\(589\) | −28.8384 | − | 29.1768i | −1.18827 | − | 1.20221i | ||||
\(590\) | 6.65270 | 0.273887 | ||||||||
\(591\) | −9.17617 | − | 7.69972i | −0.377457 | − | 0.316724i | ||||
\(592\) | 7.55690 | − | 2.75049i | 0.310587 | − | 0.113044i | ||||
\(593\) | −4.92309 | − | 27.9202i | −0.202167 | − | 1.14655i | −0.901836 | − | 0.432078i | \(-0.857780\pi\) |
0.699669 | − | 0.714467i | \(-0.253331\pi\) | |||||||
\(594\) | −0.645430 | + | 3.66041i | −0.0264823 | + | 0.150189i | ||||
\(595\) | −0.407604 | − | 0.148356i | −0.0167101 | − | 0.00608199i | ||||
\(596\) | 0.215537 | + | 0.373321i | 0.00882875 | + | 0.0152918i | ||||
\(597\) | 8.50521 | − | 14.7315i | 0.348095 | − | 0.602919i | ||||
\(598\) | 14.7160 | − | 12.3482i | 0.601782 | − | 0.504955i | ||||
\(599\) | 3.16637 | − | 2.65690i | 0.129375 | − | 0.108558i | −0.575804 | − | 0.817587i | \(-0.695311\pi\) |
0.705179 | + | 0.709029i | \(0.250867\pi\) | |||||||
\(600\) | 0.500000 | − | 0.866025i | 0.0204124 | − | 0.0353553i | ||||
\(601\) | 6.69001 | + | 11.5874i | 0.272891 | + | 0.472661i | 0.969601 | − | 0.244692i | \(-0.0786868\pi\) |
−0.696710 | + | 0.717353i | \(0.745353\pi\) | |||||||
\(602\) | 2.21301 | + | 0.805470i | 0.0901956 | + | 0.0328285i | ||||
\(603\) | 0.888003 | − | 5.03612i | 0.0361623 | − | 0.205087i | ||||
\(604\) | 1.92855 | + | 10.9373i | 0.0784715 | + | 0.445034i | ||||
\(605\) | 2.64543 | − | 0.962858i | 0.107552 | − | 0.0391457i | ||||
\(606\) | 9.87005 | + | 8.28196i | 0.400943 | + | 0.336432i | ||||
\(607\) | 44.3688 | 1.80087 | 0.900436 | − | 0.434988i | \(-0.143247\pi\) | ||||
0.900436 | + | 0.434988i | \(0.143247\pi\) | |||||||
\(608\) | 4.34002 | + | 0.405223i | 0.176011 | + | 0.0164340i | ||||
\(609\) | −5.33544 | −0.216203 | ||||||||
\(610\) | 10.9795 | + | 9.21291i | 0.444548 | + | 0.373020i | ||||
\(611\) | 33.7123 | − | 12.2703i | 1.36385 | − | 0.496402i | ||||
\(612\) | −0.141559 | − | 0.802823i | −0.00572220 | − | 0.0324522i | ||||
\(613\) | −1.61510 | + | 9.15966i | −0.0652331 | + | 0.369955i | 0.934663 | + | 0.355535i | \(0.115701\pi\) |
−0.999896 | + | 0.0144202i | \(0.995410\pi\) | |||||||
\(614\) | 18.2160 | + | 6.63008i | 0.735138 | + | 0.267568i | ||||
\(615\) | 5.15657 | + | 8.93145i | 0.207933 | + | 0.360151i | ||||
\(616\) | 0.988856 | − | 1.71275i | 0.0398421 | − | 0.0690086i | ||||
\(617\) | −15.3150 | + | 12.8508i | −0.616557 | + | 0.517353i | −0.896719 | − | 0.442600i | \(-0.854056\pi\) |
0.280162 | + | 0.959953i | \(0.409612\pi\) | |||||||
\(618\) | 8.06283 | − | 6.76552i | 0.324335 | − | 0.272149i | ||||
\(619\) | 8.34255 | − | 14.4497i | 0.335315 | − | 0.580783i | −0.648230 | − | 0.761445i | \(-0.724490\pi\) |
0.983545 | + | 0.180661i | \(0.0578238\pi\) | |||||||
\(620\) | 4.70574 | + | 8.15058i | 0.188987 | + | 0.327335i | ||||
\(621\) | 5.48545 | + | 1.99654i | 0.220124 | + | 0.0801184i | ||||
\(622\) | −3.57873 | + | 20.2960i | −0.143494 | + | 0.813794i | ||||
\(623\) | 0.354570 | + | 2.01087i | 0.0142056 | + | 0.0805637i | ||||
\(624\) | −3.09240 | + | 1.12554i | −0.123795 | + | 0.0450577i | ||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 22.7374 | 0.908770 | ||||||||
\(627\) | −1.31790 | − | 16.1478i | −0.0526317 | − | 0.644882i | ||||
\(628\) | −16.3182 | −0.651167 | ||||||||
\(629\) | 5.02204 | + | 4.21399i | 0.200242 | + | 0.168023i | ||||
\(630\) | −0.500000 | + | 0.181985i | −0.0199205 | + | 0.00725046i | ||||
\(631\) | 5.69341 | + | 32.2889i | 0.226651 | + | 1.28540i | 0.859504 | + | 0.511130i | \(0.170773\pi\) |
−0.632852 | + | 0.774272i | \(0.718116\pi\) | |||||||
\(632\) | −2.19207 | + | 12.4318i | −0.0871957 | + | 0.494512i | ||||
\(633\) | −7.93882 | − | 2.88949i | −0.315540 | − | 0.114847i | ||||
\(634\) | −3.85457 | − | 6.67631i | −0.153085 | − | 0.265150i | ||||
\(635\) | −1.23055 | + | 2.13138i | −0.0488330 | + | 0.0845812i | ||||
\(636\) | −0.798133 | + | 0.669713i | −0.0316480 | + | 0.0265559i | ||||
\(637\) | −16.9329 | + | 14.2084i | −0.670905 | + | 0.562956i | ||||
\(638\) | −18.6352 | + | 32.2771i | −0.737775 | + | 1.27786i | ||||
\(639\) | −1.71554 | − | 2.97140i | −0.0678656 | − | 0.117547i | ||||
\(640\) | −0.939693 | − | 0.342020i | −0.0371446 | − | 0.0135195i | ||||
\(641\) | −0.434640 | + | 2.46497i | −0.0171673 | + | 0.0973603i | −0.992187 | − | 0.124756i | \(-0.960185\pi\) |
0.975020 | + | 0.222116i | \(0.0712964\pi\) | |||||||
\(642\) | −1.15270 | − | 6.53731i | −0.0454936 | − | 0.258007i | ||||
\(643\) | 4.62284 | − | 1.68257i | 0.182307 | − | 0.0663543i | −0.249254 | − | 0.968438i | \(-0.580185\pi\) |
0.431561 | + | 0.902084i | \(0.357963\pi\) | |||||||
\(644\) | −2.37939 | − | 1.99654i | −0.0937609 | − | 0.0786747i | ||||
\(645\) | −4.42602 | −0.174274 | ||||||||
\(646\) | 1.48293 | + | 3.22918i | 0.0583449 | + | 0.127051i | ||||
\(647\) | −36.4807 | −1.43420 | −0.717102 | − | 0.696968i | \(-0.754532\pi\) | ||||
−0.717102 | + | 0.696968i | \(0.754532\pi\) | |||||||
\(648\) | −0.766044 | − | 0.642788i | −0.0300931 | − | 0.0252511i | ||||
\(649\) | −23.2361 | + | 8.45724i | −0.912096 | + | 0.331976i | ||||
\(650\) | −0.571452 | − | 3.24086i | −0.0224142 | − | 0.127117i | ||||
\(651\) | 0.869585 | − | 4.93166i | 0.0340817 | − | 0.193287i | ||||
\(652\) | −19.8799 | − | 7.23567i | −0.778555 | − | 0.283371i | ||||
\(653\) | 8.54488 | + | 14.8002i | 0.334387 | + | 0.579175i | 0.983367 | − | 0.181630i | \(-0.0581374\pi\) |
−0.648980 | + | 0.760806i | \(0.724804\pi\) | |||||||
\(654\) | 5.68866 | − | 9.85305i | 0.222444 | − | 0.385285i | ||||
\(655\) | −4.34730 | + | 3.64781i | −0.169863 | + | 0.142532i | ||||
\(656\) | 7.90033 | − | 6.62916i | 0.308456 | − | 0.258825i | ||||
\(657\) | −0.543233 | + | 0.940908i | −0.0211935 | + | 0.0367083i | ||||
\(658\) | −2.90033 | − | 5.02352i | −0.113067 | − | 0.195837i | ||||
\(659\) | 6.21688 | + | 2.26276i | 0.242175 | + | 0.0881446i | 0.460256 | − | 0.887786i | \(-0.347757\pi\) |
−0.218081 | + | 0.975931i | \(0.569980\pi\) | |||||||
\(660\) | −0.645430 | + | 3.66041i | −0.0251233 | + | 0.142481i | ||||
\(661\) | −6.75578 | − | 38.3139i | −0.262769 | − | 1.49024i | −0.775313 | − | 0.631577i | \(-0.782408\pi\) |
0.512544 | − | 0.858661i | \(-0.328703\pi\) | |||||||
\(662\) | 6.55216 | − | 2.38479i | 0.254657 | − | 0.0926875i | ||||
\(663\) | −2.05509 | − | 1.72443i | −0.0798132 | − | 0.0669712i | ||||
\(664\) | −18.0428 | −0.700197 | ||||||||
\(665\) | 1.90760 | − | 1.31920i | 0.0739737 | − | 0.0511566i | ||||
\(666\) | 8.04189 | 0.311617 | ||||||||
\(667\) | 44.8401 | + | 37.6253i | 1.73621 | + | 1.45686i | ||||
\(668\) | −5.71213 | + | 2.07905i | −0.221009 | + | 0.0804407i | ||||
\(669\) | −1.19800 | − | 6.79417i | −0.0463172 | − | 0.262678i | ||||
\(670\) | 0.888003 | − | 5.03612i | 0.0343066 | − | 0.194562i | ||||
\(671\) | −50.0604 | − | 18.2205i | −1.93256 | − | 0.703394i | ||||
\(672\) | 0.266044 | + | 0.460802i | 0.0102629 | + | 0.0177758i | ||||
\(673\) | 1.36366 | − | 2.36192i | 0.0525650 | − | 0.0910453i | −0.838546 | − | 0.544831i | \(-0.816594\pi\) |
0.891111 | + | 0.453786i | \(0.149927\pi\) | |||||||
\(674\) | −17.7665 | + | 14.9079i | −0.684340 | + | 0.574230i | ||||
\(675\) | 0.766044 | − | 0.642788i | 0.0294851 | − | 0.0247409i | ||||
\(676\) | 1.08512 | − | 1.87949i | 0.0417355 | − | 0.0722880i | ||||
\(677\) | −16.5082 | − | 28.5931i | −0.634462 | − | 1.09892i | −0.986629 | − | 0.162983i | \(-0.947888\pi\) |
0.352167 | − | 0.935937i | \(-0.385445\pi\) | |||||||
\(678\) | 2.30541 | + | 0.839100i | 0.0885386 | + | 0.0322254i | ||||
\(679\) | 0.243041 | − | 1.37835i | 0.00932704 | − | 0.0528963i | ||||
\(680\) | −0.141559 | − | 0.802823i | −0.00542855 | − | 0.0307868i | ||||
\(681\) | −13.4547 | + | 4.89711i | −0.515586 | + | 0.187658i | ||||
\(682\) | −26.7973 | − | 22.4856i | −1.02612 | − | 0.861017i | ||||
\(683\) | 25.3746 | 0.970934 | 0.485467 | − | 0.874255i | \(-0.338650\pi\) | ||||
0.485467 | + | 0.874255i | \(0.338650\pi\) | |||||||
\(684\) | 3.93969 | + | 1.86516i | 0.150638 | + | 0.0713162i | ||||
\(685\) | −20.0205 | −0.764945 | ||||||||
\(686\) | 5.59105 | + | 4.69145i | 0.213467 | + | 0.179120i | ||||
\(687\) | 13.7417 | − | 5.00157i | 0.524278 | − | 0.190822i | ||||
\(688\) | 0.768571 | + | 4.35878i | 0.0293015 | + | 0.166177i | ||||
\(689\) | −0.595389 | + | 3.37662i | −0.0226825 | + | 0.128639i | ||||
\(690\) | 5.48545 | + | 1.99654i | 0.208828 | + | 0.0760070i | ||||
\(691\) | −18.4770 | − | 32.0031i | −0.702898 | − | 1.21746i | −0.967445 | − | 0.253082i | \(-0.918556\pi\) |
0.264547 | − | 0.964373i | \(-0.414778\pi\) | |||||||
\(692\) | 7.34002 | − | 12.7133i | 0.279026 | − | 0.483287i | ||||
\(693\) | 1.51501 | − | 1.27125i | 0.0575507 | − | 0.0482907i | ||||
\(694\) | 0.847296 | − | 0.710966i | 0.0321629 | − | 0.0269879i | ||||
\(695\) | −5.36097 | + | 9.28547i | −0.203353 | + | 0.352218i | ||||
\(696\) | −5.01367 | − | 8.68393i | −0.190043 | − | 0.329164i | ||||
\(697\) | 7.90033 | + | 2.87548i | 0.299246 | + | 0.108917i | ||||
\(698\) | −4.80288 | + | 27.2385i | −0.181792 | + | 1.03099i | ||||
\(699\) | 0.554378 | + | 3.14403i | 0.0209685 | + | 0.118918i | ||||
\(700\) | −0.500000 | + | 0.181985i | −0.0188982 | + | 0.00687839i | ||||
\(701\) | −22.8102 | − | 19.1400i | −0.861530 | − | 0.722909i | 0.100767 | − | 0.994910i | \(-0.467870\pi\) |
−0.962297 | + | 0.272001i | \(0.912315\pi\) | |||||||
\(702\) | −3.29086 | −0.124205 | ||||||||
\(703\) | −33.9117 | + | 8.87495i | −1.27900 | + | 0.334725i | ||||
\(704\) | 3.71688 | 0.140085 | ||||||||
\(705\) | 8.35117 | + | 7.00746i | 0.314523 | + | 0.263916i | ||||
\(706\) | −9.44831 | + | 3.43890i | −0.355592 | + | 0.129425i | ||||
\(707\) | −1.19047 | − | 6.75151i | −0.0447724 | − | 0.253917i | ||||
\(708\) | 1.15523 | − | 6.55163i | 0.0434162 | − | 0.246225i | ||||
\(709\) | 4.92427 | + | 1.79229i | 0.184935 | + | 0.0673107i | 0.432828 | − | 0.901477i | \(-0.357516\pi\) |
−0.247893 | + | 0.968787i | \(0.579738\pi\) | |||||||
\(710\) | −1.71554 | − | 2.97140i | −0.0643830 | − | 0.111515i | ||||
\(711\) | −6.31180 | + | 10.9324i | −0.236711 | + | 0.409996i | ||||
\(712\) | −2.93969 | + | 2.46669i | −0.110170 | + | 0.0924433i | ||||
\(713\) | −42.0861 | + | 35.3144i | −1.57614 | + | 1.32253i | ||||
\(714\) | −0.216881 | + | 0.375650i | −0.00811658 | + | 0.0140583i | ||||
\(715\) | 6.11587 | + | 10.5930i | 0.228720 | + | 0.396155i | ||||
\(716\) | 10.3696 | + | 3.77422i | 0.387530 | + | 0.141049i | ||||
\(717\) | −3.41740 | + | 19.3811i | −0.127625 | + | 0.723799i | ||||
\(718\) | −3.25372 | − | 18.4528i | −0.121428 | − | 0.688651i | ||||
\(719\) | 37.6874 | − | 13.7171i | 1.40550 | − | 0.511561i | 0.475696 | − | 0.879610i | \(-0.342196\pi\) |
0.929806 | + | 0.368049i | \(0.119974\pi\) | |||||||
\(720\) | −0.766044 | − | 0.642788i | −0.0285488 | − | 0.0239553i | ||||
\(721\) | −5.60039 | −0.208569 | ||||||||
\(722\) | −18.6716 | − | 3.51735i | −0.694885 | − | 0.130902i | ||||
\(723\) | 11.7365 | 0.436484 | ||||||||
\(724\) | 1.89053 | + | 1.58634i | 0.0702610 | + | 0.0589560i | ||||
\(725\) | 9.42262 | − | 3.42955i | 0.349947 | − | 0.127370i | ||||
\(726\) | −0.488856 | − | 2.77244i | −0.0181431 | − | 0.102895i | ||||
\(727\) | −7.10725 | + | 40.3072i | −0.263593 | + | 1.49491i | 0.509418 | + | 0.860519i | \(0.329861\pi\) |
−0.773011 | + | 0.634392i | \(0.781250\pi\) | |||||||
\(728\) | 1.64543 | + | 0.598887i | 0.0609837 | + | 0.0221962i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | −0.543233 | + | 0.940908i | −0.0201060 | + | 0.0348246i | ||||
\(731\) | −2.76399 | + | 2.31926i | −0.102230 | + | 0.0857809i | ||||
\(732\) | 10.9795 | − | 9.21291i | 0.405815 | − | 0.340519i | ||||
\(733\) | −19.4918 | + | 33.7609i | −0.719948 | + | 1.24699i | 0.241072 | + | 0.970507i | \(0.422501\pi\) |
−0.961020 | + | 0.276479i | \(0.910832\pi\) | |||||||
\(734\) | 16.9304 | + | 29.3242i | 0.624911 | + | 1.08238i | ||||
\(735\) | −6.31180 | − | 2.29731i | −0.232814 | − | 0.0847375i | ||||
\(736\) | 1.01367 | − | 5.74881i | 0.0373644 | − | 0.211904i | ||||
\(737\) | 3.30060 | + | 18.7187i | 0.121579 | + | 0.689510i | ||||
\(738\) | 9.69119 | − | 3.52730i | 0.356738 | − | 0.129842i | ||||
\(739\) | 21.7310 | + | 18.2345i | 0.799388 | + | 0.670767i | 0.948050 | − | 0.318122i | \(-0.103052\pi\) |
−0.148661 | + | 0.988888i | \(0.547496\pi\) | |||||||
\(740\) | 8.04189 | 0.295626 | ||||||||
\(741\) | 13.8772 | − | 3.63176i | 0.509790 | − | 0.133416i | ||||
\(742\) | 0.554378 | 0.0203518 | ||||||||
\(743\) | −38.4372 | − | 32.2527i | −1.41012 | − | 1.18324i | −0.956388 | − | 0.292100i | \(-0.905646\pi\) |
−0.453737 | − | 0.891136i | \(-0.649909\pi\) | |||||||
\(744\) | 8.84389 | − | 3.21891i | 0.324233 | − | 0.118011i | ||||
\(745\) | 0.0748553 | + | 0.424525i | 0.00274249 | + | 0.0155534i | ||||
\(746\) | 0.104418 | − | 0.592184i | 0.00382301 | − | 0.0216814i | ||||
\(747\) | −16.9547 | − | 6.17101i | −0.620340 | − | 0.225785i | ||||
\(748\) | 1.51501 | + | 2.62408i | 0.0553944 | + | 0.0959460i | ||||
\(749\) | −1.76604 | + | 3.05888i | −0.0645299 | + | 0.111769i | ||||
\(750\) | 0.766044 | − | 0.642788i | 0.0279720 | − | 0.0234713i | ||||
\(751\) | −12.8038 | + | 10.7437i | −0.467218 | + | 0.392042i | −0.845779 | − | 0.533534i | \(-0.820864\pi\) |
0.378561 | + | 0.925576i | \(0.376419\pi\) | |||||||
\(752\) | 5.45084 | − | 9.44113i | 0.198772 | − | 0.344282i | ||||
\(753\) | 8.98680 | + | 15.5656i | 0.327497 | + | 0.567242i | ||||
\(754\) | −31.0085 | − | 11.2862i | −1.12926 | − | 0.411018i | ||||
\(755\) | −1.92855 | + | 10.9373i | −0.0701871 | + | 0.398051i | ||||
\(756\) | 0.0923963 | + | 0.524005i | 0.00336042 | + | 0.0190579i | ||||
\(757\) | 23.6805 | − | 8.61900i | 0.860683 | − | 0.313263i | 0.126295 | − | 0.991993i | \(-0.459691\pi\) |
0.734388 | + | 0.678730i | \(0.237469\pi\) | |||||||
\(758\) | −1.40167 | − | 1.17614i | −0.0509111 | − | 0.0427195i | ||||
\(759\) | −21.6973 | −0.787561 | ||||||||
\(760\) | 3.93969 | + | 1.86516i | 0.142908 | + | 0.0676565i | ||||
\(761\) | −39.0164 | −1.41434 | −0.707172 | − | 0.707042i | \(-0.750029\pi\) | ||||
−0.707172 | + | 0.707042i | \(0.750029\pi\) | |||||||
\(762\) | 1.88532 | + | 1.58197i | 0.0682978 | + | 0.0573086i | ||||
\(763\) | −5.68866 | + | 2.07050i | −0.205943 | + | 0.0749573i | ||||
\(764\) | 1.06758 | + | 6.05455i | 0.0386237 | + | 0.219046i | ||||
\(765\) | 0.141559 | − | 0.802823i | 0.00511809 | − | 0.0290261i | ||||
\(766\) | 28.3653 | + | 10.3241i | 1.02488 | + | 0.373026i | ||||
\(767\) | −10.9466 | − | 18.9600i | −0.395257 | − | 0.684606i | ||||
\(768\) | −0.500000 | + | 0.866025i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | 37.1523 | − | 31.1745i | 1.33975 | − | 1.12418i | 0.358055 | − | 0.933701i | \(-0.383440\pi\) |
0.981691 | − | 0.190480i | \(-0.0610044\pi\) | |||||||
\(770\) | 1.51501 | − | 1.27125i | 0.0545973 | − | 0.0458126i | ||||
\(771\) | 15.1498 | − | 26.2402i | 0.545606 | − | 0.945016i | ||||
\(772\) | 1.62314 | + | 2.81136i | 0.0584181 | + | 0.101183i | ||||
\(773\) | −14.1591 | − | 5.15349i | −0.509267 | − | 0.185358i | 0.0745902 | − | 0.997214i | \(-0.476235\pi\) |
−0.583858 | + | 0.811856i | \(0.698457\pi\) | |||||||
\(774\) | −0.768571 | + | 4.35878i | −0.0276257 | + | 0.156673i | ||||
\(775\) | 1.63429 | + | 9.26849i | 0.0587053 | + | 0.332934i | ||||
\(776\) | 2.47178 | − | 0.899655i | 0.0887318 | − | 0.0322957i | ||||
\(777\) | −3.27790 | − | 2.75049i | −0.117594 | − | 0.0986732i | ||||
\(778\) | 2.84430 | 0.101973 | ||||||||
\(779\) | −36.9739 | + | 25.5693i | −1.32473 | + | 0.916116i | ||||
\(780\) | −3.29086 | −0.117832 | ||||||||
\(781\) | 9.76929 | + | 8.19740i | 0.349573 | + | 0.293326i | ||||
\(782\) | 4.47178 | − | 1.62760i | 0.159911 | − | 0.0582027i | ||||
\(783\) | −1.74123 | − | 9.87500i | −0.0622265 | − | 0.352904i | ||||
\(784\) | −1.16637 | + | 6.61484i | −0.0416562 | + | 0.236244i | ||||
\(785\) | −15.3341 | − | 5.58115i | −0.547297 | − | 0.199200i | ||||
\(786\) | 2.83750 | + | 4.91469i | 0.101210 | + | 0.175301i | ||||
\(787\) | 10.3610 | − | 17.9457i | 0.369329 | − | 0.639696i | −0.620132 | − | 0.784497i | \(-0.712921\pi\) |
0.989461 | + | 0.144802i | \(0.0462544\pi\) | |||||||
\(788\) | −9.17617 | + | 7.69972i | −0.326888 | + | 0.274291i | ||||
\(789\) | −11.9363 | + | 10.0157i | −0.424943 | + | 0.356570i | ||||
\(790\) | −6.31180 | + | 10.9324i | −0.224564 | + | 0.388956i | ||||
\(791\) | −0.652704 | − | 1.13052i | −0.0232075 | − | 0.0401965i | ||||
\(792\) | 3.49273 | + | 1.27125i | 0.124109 | + | 0.0451718i | ||||
\(793\) | 8.19047 | − | 46.4505i | 0.290852 | − | 1.64951i | ||||
\(794\) | −1.63769 | − | 9.28780i | −0.0581194 | − | 0.329612i | ||||
\(795\) | −0.979055 | + | 0.356347i | −0.0347235 | + | 0.0126383i | ||||
\(796\) | −13.0307 | − | 10.9341i | −0.461863 | − | 0.387549i | ||||
\(797\) | 16.9685 | 0.601057 | 0.300528 | − | 0.953773i | \(-0.402837\pi\) | ||||
0.300528 | + | 0.953773i | \(0.402837\pi\) | |||||||
\(798\) | −0.967911 | − | 2.10770i | −0.0342637 | − | 0.0746118i | ||||
\(799\) | 8.88713 | 0.314404 | ||||||||
\(800\) | −0.766044 | − | 0.642788i | −0.0270838 | − | 0.0227260i | ||||
\(801\) | −3.60607 | + | 1.31250i | −0.127414 | + | 0.0463749i | ||||
\(802\) | −1.97131 | − | 11.1799i | −0.0696095 | − | 0.394775i | ||||
\(803\) | 0.701238 | − | 3.97692i | 0.0247461 | − | 0.140342i | ||||
\(804\) | −4.80541 | − | 1.74903i | −0.169474 | − | 0.0616834i | ||||
\(805\) | −1.55303 | − | 2.68993i | −0.0547372 | − | 0.0948077i | ||||
\(806\) | 15.4859 | − | 26.8224i | 0.545468 | − | 0.944779i | ||||
\(807\) | 19.7763 | − | 16.5943i | 0.696159 | − | 0.584147i | ||||
\(808\) | 9.87005 | − | 8.28196i | 0.347227 | − | 0.291358i | ||||
\(809\) | 9.40033 | − | 16.2818i | 0.330498 | − | 0.572439i | −0.652112 | − | 0.758123i | \(-0.726117\pi\) |
0.982610 | + | 0.185684i | \(0.0594500\pi\) | |||||||
\(810\) | −0.500000 | − | 0.866025i | −0.0175682 | − | 0.0304290i | ||||
\(811\) | 8.55216 | + | 3.11273i | 0.300307 | + | 0.109303i | 0.487779 | − | 0.872967i | \(-0.337807\pi\) |
−0.187472 | + | 0.982270i | \(0.560029\pi\) | |||||||
\(812\) | −0.926489 | + | 5.25438i | −0.0325134 | + | 0.184393i | ||||
\(813\) | −2.19846 | − | 12.4681i | −0.0771035 | − | 0.437275i | ||||
\(814\) | −28.0881 | + | 10.2232i | −0.984488 | + | 0.358324i | ||||
\(815\) | −16.2062 | − | 13.5986i | −0.567679 | − | 0.476339i | ||||
\(816\) | −0.815207 | −0.0285380 | ||||||||
\(817\) | −1.56934 | − | 19.2286i | −0.0549041 | − | 0.672725i | ||||
\(818\) | −16.4584 | −0.575455 | ||||||||
\(819\) | 1.34137 | + | 1.12554i | 0.0468711 | + | 0.0393296i | ||||
\(820\) | 9.69119 | − | 3.52730i | 0.338431 | − | 0.123179i | ||||
\(821\) | 0.275434 | + | 1.56206i | 0.00961272 | + | 0.0545164i | 0.989237 | − | 0.146323i | \(-0.0467440\pi\) |
−0.979624 | + | 0.200840i | \(0.935633\pi\) | |||||||
\(822\) | −3.47653 | + | 19.7164i | −0.121258 | + | 0.687688i | ||||
\(823\) | −30.8692 | − | 11.2355i | −1.07603 | − | 0.391644i | −0.257603 | − | 0.966251i | \(-0.582933\pi\) |
−0.818429 | + | 0.574607i | \(0.805155\pi\) | |||||||
\(824\) | −5.26264 | − | 9.11516i | −0.183333 | − | 0.317542i | ||||
\(825\) | −1.85844 | + | 3.21891i | −0.0647026 | + | 0.112068i | ||||
\(826\) | −2.71167 | + | 2.27536i | −0.0943510 | + | 0.0791699i | ||||
\(827\) | 0.950122 | − | 0.797247i | 0.0330390 | − | 0.0277230i | −0.626119 | − | 0.779728i | \(-0.715357\pi\) |
0.659158 | + | 0.752005i | \(0.270913\pi\) | |||||||
\(828\) | 2.91875 | − | 5.05542i | 0.101434 | − | 0.175688i | ||||
\(829\) | 22.9736 | + | 39.7914i | 0.797906 | + | 1.38201i | 0.920978 | + | 0.389616i | \(0.127392\pi\) |
−0.123072 | + | 0.992398i | \(0.539275\pi\) | |||||||
\(830\) | −16.9547 | − | 6.17101i | −0.588506 | − | 0.214199i | ||||
\(831\) | 3.72534 | − | 21.1274i | 0.129231 | − | 0.732903i | ||||
\(832\) | 0.571452 | + | 3.24086i | 0.0198115 | + | 0.112357i | ||||
\(833\) | −5.14543 | + | 1.87278i | −0.178279 | + | 0.0648881i | ||||
\(834\) | 8.21348 | + | 6.89193i | 0.284409 | + | 0.238648i | ||||
\(835\) | −6.07873 | −0.210363 | ||||||||
\(836\) | −16.1313 | − | 1.50617i | −0.557914 | − | 0.0520918i | ||||
\(837\) | 9.41147 | 0.325308 | ||||||||
\(838\) | −0.00387039 | − | 0.00324765i | −0.000133701 | − | 0.000112188i | ||||
\(839\) | −49.5249 | + | 18.0256i | −1.70979 | + | 0.622312i | −0.996879 | − | 0.0789441i | \(-0.974845\pi\) |
−0.712909 | + | 0.701256i | \(0.752623\pi\) | |||||||
\(840\) | 0.0923963 | + | 0.524005i | 0.00318797 | + | 0.0180799i | ||||
\(841\) | 12.4241 | − | 70.4606i | 0.428417 | − | 2.42968i | ||||
\(842\) | 10.3366 | + | 3.76222i | 0.356223 | + | 0.129655i | ||||
\(843\) | −4.53802 | − | 7.86008i | −0.156298 | − | 0.270715i | ||||
\(844\) | −4.22416 | + | 7.31645i | −0.145401 | + | 0.251843i | ||||
\(845\) | 1.66250 | − | 1.39501i | 0.0571919 | − | 0.0479897i | ||||
\(846\) | 8.35117 | − | 7.00746i | 0.287119 | − | 0.240921i | ||||
\(847\) | −0.748970 | + | 1.29725i | −0.0257349 | + | 0.0445742i | ||||
\(848\) | 0.520945 | + | 0.902302i | 0.0178893 | + | 0.0309852i | ||||
\(849\) | −18.4033 | − | 6.69826i | −0.631600 | − | 0.229884i | ||||
\(850\) | 0.141559 | − | 0.802823i | 0.00485544 | − | 0.0275366i | ||||
\(851\) | 8.15183 | + | 46.2313i | 0.279441 | + | 1.58479i | ||||
\(852\) | −3.22416 | + | 1.17350i | −0.110458 | + | 0.0402033i | ||||
\(853\) | −0.605600 | − | 0.508159i | −0.0207353 | − | 0.0173990i | 0.632361 | − | 0.774674i | \(-0.282086\pi\) |
−0.653096 | + | 0.757275i | \(0.726530\pi\) | |||||||
\(854\) | −7.62630 | −0.260966 | ||||||||
\(855\) | 3.06418 | + | 3.10013i | 0.104793 | + | 0.106022i | ||||
\(856\) | −6.63816 | −0.226887 | ||||||||
\(857\) | 1.23467 | + | 1.03601i | 0.0421756 | + | 0.0353895i | 0.663632 | − | 0.748059i | \(-0.269014\pi\) |
−0.621456 | + | 0.783449i | \(0.713459\pi\) | |||||||
\(858\) | 11.4941 | − | 4.18350i | 0.392401 | − | 0.142822i | ||||
\(859\) | 5.75150 | + | 32.6184i | 0.196239 | + | 1.11292i | 0.910644 | + | 0.413192i | \(0.135586\pi\) |
−0.714405 | + | 0.699732i | \(0.753303\pi\) | |||||||
\(860\) | −0.768571 | + | 4.35878i | −0.0262080 | + | 0.148633i | ||||
\(861\) | −5.15657 | − | 1.87684i | −0.175736 | − | 0.0639625i | ||||
\(862\) | 17.8949 | + | 30.9948i | 0.609502 | + | 1.05569i | ||||
\(863\) | 2.49525 | − | 4.32190i | 0.0849394 | − | 0.147119i | −0.820426 | − | 0.571753i | \(-0.806264\pi\) |
0.905365 | + | 0.424633i | \(0.139597\pi\) | |||||||
\(864\) | −0.766044 | + | 0.642788i | −0.0260614 | + | 0.0218681i | ||||
\(865\) | 11.2456 | − | 9.43615i | 0.382361 | − | 0.320839i | ||||
\(866\) | 11.6834 | − | 20.2363i | 0.397020 | − | 0.687658i | ||||
\(867\) | 8.16772 | + | 14.1469i | 0.277390 | + | 0.480454i | ||||
\(868\) | −4.70574 | − | 1.71275i | −0.159723 | − | 0.0581345i | ||||
\(869\) | 8.14765 | − | 46.2076i | 0.276390 | − | 1.56749i | ||||
\(870\) | −1.74123 | − | 9.87500i | −0.0590332 | − | 0.334794i | ||||
\(871\) | −15.8139 | + | 5.75580i | −0.535834 | + | 0.195028i | ||||
\(872\) | −8.71554 | − | 7.31320i | −0.295145 | − | 0.247656i | ||||
\(873\) | 2.63041 | 0.0890261 | ||||||||
\(874\) | −6.72890 | + | 24.5392i | −0.227609 | + | 0.830051i | ||||
\(875\) | −0.532089 | −0.0179879 | ||||||||
\(876\) | 0.832282 | + | 0.698367i | 0.0281202 | + | 0.0235956i | ||||
\(877\) | −14.9329 | + | 5.43513i | −0.504248 | + | 0.183531i | −0.581604 | − | 0.813472i | \(-0.697574\pi\) |
0.0773558 | + | 0.997004i | \(0.475352\pi\) | |||||||
\(878\) | −3.24675 | − | 18.4132i | −0.109572 | − | 0.621416i | ||||
\(879\) | −1.44949 | + | 8.22048i | −0.0488902 | + | 0.277270i | ||||
\(880\) | 3.49273 | + | 1.27125i | 0.117740 | + | 0.0428538i | ||||
\(881\) | −2.00475 | − | 3.47232i | −0.0675417 | − | 0.116986i | 0.830277 | − | 0.557351i | \(-0.188182\pi\) |
−0.897819 | + | 0.440365i | \(0.854849\pi\) | |||||||
\(882\) | −3.35844 | + | 5.81699i | −0.113085 | + | 0.195868i | ||||
\(883\) | −10.3418 | + | 8.67783i | −0.348030 | + | 0.292032i | −0.799999 | − | 0.600002i | \(-0.795166\pi\) |
0.451968 | + | 0.892034i | \(0.350722\pi\) | |||||||
\(884\) | −2.05509 | + | 1.72443i | −0.0691203 | + | 0.0579988i | ||||
\(885\) | 3.32635 | − | 5.76141i | 0.111814 | − | 0.193668i | ||||
\(886\) | −5.56923 | − | 9.64619i | −0.187102 | − | 0.324070i | ||||
\(887\) | −26.2545 | − | 9.55585i | −0.881539 | − | 0.320854i | −0.138709 | − | 0.990333i | \(-0.544295\pi\) |
−0.742831 | + | 0.669479i | \(0.766517\pi\) | |||||||
\(888\) | 1.39646 | − | 7.91971i | 0.0468621 | − | 0.265768i | ||||
\(889\) | −0.227397 | − | 1.28963i | −0.00762664 | − | 0.0432529i | ||||
\(890\) | −3.60607 | + | 1.31250i | −0.120876 | + | 0.0439951i | ||||
\(891\) | 2.84730 | + | 2.38917i | 0.0953880 | + | 0.0800400i | ||||
\(892\) | −6.89899 | −0.230995 | ||||||||
\(893\) | −27.4825 | + | 38.7659i | −0.919667 | + | 1.29725i | ||||
\(894\) | 0.431074 | 0.0144173 | ||||||||
\(895\) | 8.45336 | + | 7.09321i | 0.282565 | + | 0.237100i | ||||
\(896\) | 0.500000 | − | 0.181985i | 0.0167038 | − | 0.00607970i | ||||
\(897\) | −3.33585 | − | 18.9185i | −0.111381 | − | 0.631671i | ||||
\(898\) | −6.20187 | + | 35.1725i | −0.206959 | + | 1.17372i | ||||
\(899\) | 88.6807 | + | 32.2771i | 2.95767 | + | 1.07650i | ||||
\(900\) | −0.500000 | − | 0.866025i | −0.0166667 | − | 0.0288675i | ||||
\(901\) | −0.424678 | + | 0.735564i | −0.0141481 | + | 0.0245052i | ||||
\(902\) | −29.3646 | + | 24.6398i | −0.977734 | + | 0.820416i | ||||
\(903\) | 1.80406 | − | 1.51379i | 0.0600355 | − | 0.0503757i | ||||
\(904\) | 1.22668 | − | 2.12467i | 0.0407988 | − | 0.0706656i | ||||
\(905\) | 1.23396 | + | 2.13727i | 0.0410181 | + | 0.0710454i | ||||
\(906\) | 10.4363 | + | 3.79850i | 0.346722 | + | 0.126197i | ||||
\(907\) | −3.09089 | + | 17.5293i | −0.102631 | + | 0.582051i | 0.889509 | + | 0.456918i | \(0.151047\pi\) |
−0.992140 | + | 0.125133i | \(0.960064\pi\) | |||||||
\(908\) | 2.48633 | + | 14.1007i | 0.0825117 | + | 0.467947i | ||||
\(909\) | 12.1074 | − | 4.40674i | 0.401577 | − | 0.146162i | ||||
\(910\) | 1.34137 | + | 1.12554i | 0.0444659 | + | 0.0373113i | ||||
\(911\) | 38.2012 | 1.26566 | 0.632831 | − | 0.774290i | \(-0.281893\pi\) | ||||
0.632831 | + | 0.774290i | \(0.281893\pi\) | |||||||
\(912\) | 2.52094 | − | 3.55596i | 0.0834768 | − | 0.117750i | ||||
\(913\) | 67.0630 | 2.21946 | ||||||||
\(914\) | −23.6065 | − | 19.8082i | −0.780835 | − | 0.655198i | ||||
\(915\) | 13.4684 | − | 4.90209i | 0.445251 | − | 0.162058i | ||||
\(916\) | −2.53936 | − | 14.4014i | −0.0839029 | − | 0.475837i | ||||
\(917\) | 0.524348 | − | 2.97373i | 0.0173155 | − | 0.0982011i | ||||
\(918\) | −0.766044 | − | 0.278817i | −0.0252832 | − | 0.00920234i | ||||
\(919\) | −14.9802 | − | 25.9465i | −0.494152 | − | 0.855897i | 0.505825 | − | 0.862636i | \(-0.331188\pi\) |
−0.999977 | + | 0.00673907i | \(0.997855\pi\) | |||||||
\(920\) | 2.91875 | − | 5.05542i | 0.0962283 | − | 0.166672i | ||||
\(921\) | 14.8498 | − | 12.4605i | 0.489318 | − | 0.410587i | ||||
\(922\) | −2.24969 | + | 1.88771i | −0.0740894 | + | 0.0621684i | ||||
\(923\) | −5.64559 | + | 9.77845i | −0.185827 | + | 0.321862i | ||||
\(924\) | −0.988856 | − | 1.71275i | −0.0325310 | − | 0.0563453i | ||||
\(925\) | 7.55690 | + | 2.75049i | 0.248469 | + | 0.0904355i | ||||
\(926\) | 1.32929 | − | 7.53877i | 0.0436831 | − | 0.247739i | ||||
\(927\) | −1.82770 | − | 10.3654i | −0.0600294 | − | 0.340444i | ||||
\(928\) | −9.42262 | + | 3.42955i | −0.309313 | + | 0.112581i | ||||
\(929\) | −36.4044 | − | 30.5469i | −1.19439 | − | 1.00221i | −0.999772 | − | 0.0213333i | \(-0.993209\pi\) |
−0.194618 | − | 0.980879i | \(-0.562347\pi\) | |||||||
\(930\) | 9.41147 | 0.308614 | ||||||||
\(931\) | 7.74257 | − | 28.2359i | 0.253753 | − | 0.925394i | ||||
\(932\) | 3.19253 | 0.104575 | ||||||||
\(933\) | 15.7875 | + | 13.2472i | 0.516858 | + | 0.433695i | ||||
\(934\) | 11.1382 | − | 4.05396i | 0.364452 | − | 0.132650i | ||||
\(935\) | 0.526159 | + | 2.98400i | 0.0172072 | + | 0.0975871i | ||||
\(936\) | −0.571452 | + | 3.24086i | −0.0186785 | + | 0.105931i | ||||
\(937\) | −6.42514 | − | 2.33856i | −0.209900 | − | 0.0763975i | 0.234930 | − | 0.972012i | \(-0.424514\pi\) |
−0.444830 | + | 0.895615i | \(0.646736\pi\) | |||||||
\(938\) | 1.36050 | + | 2.35646i | 0.0444219 | + | 0.0769410i | ||||
\(939\) | 11.3687 | − | 19.6912i | 0.371004 | − | 0.642597i | ||||
\(940\) | 8.35117 | − | 7.00746i | 0.272385 | − | 0.228558i | ||||
\(941\) | −30.4197 | + | 25.5251i | −0.991653 | + | 0.832096i | −0.985806 | − | 0.167887i | \(-0.946306\pi\) |
−0.00584704 | + | 0.999983i | \(0.501861\pi\) | |||||||
\(942\) | −8.15910 | + | 14.1320i | −0.265838 | + | 0.460445i | ||||
\(943\) | 30.1015 | + | 52.1373i | 0.980239 | + | 1.69782i | ||||
\(944\) | −6.25150 | − | 2.27536i | −0.203469 | − | 0.0740566i | ||||
\(945\) | −0.0923963 | + | 0.524005i | −0.00300565 | + | 0.0170459i | ||||
\(946\) | −2.85669 | − | 16.2011i | −0.0928789 | − | 0.526742i | ||||
\(947\) | −47.8379 | + | 17.4116i | −1.55452 | + | 0.565800i | −0.969473 | − | 0.245199i | \(-0.921147\pi\) |
−0.585049 | + | 0.810998i | \(0.698925\pi\) | |||||||
\(948\) | 9.67024 | + | 8.11430i | 0.314075 | + | 0.263540i | ||||
\(949\) | 3.57541 | 0.116063 | ||||||||
\(950\) | 3.06418 | + | 3.10013i | 0.0994151 | + | 0.100582i | ||||
\(951\) | −7.70914 | −0.249986 | ||||||||
\(952\) | 0.332282 | + | 0.278817i | 0.0107693 | + | 0.00903652i | ||||
\(953\) | 38.5026 | − | 14.0138i | 1.24722 | − | 0.453951i | 0.367759 | − | 0.929921i | \(-0.380125\pi\) |
0.879462 | + | 0.475970i | \(0.157903\pi\) | |||||||
\(954\) | 0.180922 | + | 1.02606i | 0.00585757 | + | 0.0332199i | ||||
\(955\) | −1.06758 | + | 6.05455i | −0.0345461 | + | 0.195921i | ||||
\(956\) | 18.4932 | + | 6.73097i | 0.598113 | + | 0.217695i | ||||
\(957\) | 18.6352 | + | 32.2771i | 0.602391 | + | 1.04337i | ||||
\(958\) | −3.88279 | + | 6.72519i | −0.125447 | + | 0.217281i | ||||
\(959\) | 8.16044 | − | 6.84743i | 0.263514 | − | 0.221115i | ||||
\(960\) | −0.766044 | + | 0.642788i | −0.0247240 | + | 0.0207459i | ||||
\(961\) | −28.7879 | + | 49.8621i | −0.928643 | + | 1.60846i | ||||
\(962\) | −13.2324 | − | 22.9191i | −0.426629 | − | 0.738942i | ||||
\(963\) | −6.23783 | − | 2.27038i | −0.201011 | − | 0.0731621i | ||||
\(964\) | 2.03802 | − | 11.5582i | 0.0656402 | − | 0.372264i | ||||
\(965\) | 0.563711 | + | 3.19696i | 0.0181465 | + | 0.102914i | ||||
\(966\) | −2.91875 | + | 1.06234i | −0.0939092 | + | 0.0341801i | ||||
\(967\) | −28.3862 | − | 23.8189i | −0.912840 | − | 0.765964i | 0.0598170 | − | 0.998209i | \(-0.480948\pi\) |
−0.972657 | + | 0.232245i | \(0.925393\pi\) | |||||||
\(968\) | −2.81521 | −0.0904842 | ||||||||
\(969\) | 3.53802 | + | 0.330341i | 0.113658 | + | 0.0106121i | ||||
\(970\) | 2.63041 | 0.0844575 | ||||||||
\(971\) | −7.45883 | − | 6.25870i | −0.239365 | − | 0.200851i | 0.515212 | − | 0.857063i | \(-0.327713\pi\) |
−0.754577 | + | 0.656212i | \(0.772158\pi\) | |||||||
\(972\) | −0.939693 | + | 0.342020i | −0.0301407 | + | 0.0109703i | ||||
\(973\) | −0.990667 | − | 5.61835i | −0.0317593 | − | 0.180116i | ||||
\(974\) | −0.165497 | + | 0.938579i | −0.00530286 | + | 0.0300740i | ||||
\(975\) | −3.09240 | − | 1.12554i | −0.0990359 | − | 0.0360461i | ||||
\(976\) | −7.16637 | − | 12.4125i | −0.229390 | − | 0.397315i | ||||
\(977\) | 2.12196 | − | 3.67534i | 0.0678875 | − | 0.117585i | −0.830084 | − | 0.557639i | \(-0.811707\pi\) |
0.897971 | + | 0.440054i | \(0.145041\pi\) | |||||||
\(978\) | −16.2062 | + | 13.5986i | −0.518217 | + | 0.434836i | ||||
\(979\) | 10.9265 | − | 9.16841i | 0.349212 | − | 0.293024i | ||||
\(980\) | −3.35844 | + | 5.81699i | −0.107281 | + | 0.185817i | ||||
\(981\) | −5.68866 | − | 9.85305i | −0.181625 | − | 0.314584i | ||||
\(982\) | −19.5116 | − | 7.10165i | −0.622641 | − | 0.226623i | ||||
\(983\) | 1.81655 | − | 10.3022i | 0.0579390 | − | 0.328588i | −0.942037 | − | 0.335509i | \(-0.891092\pi\) |
0.999976 | + | 0.00692046i | \(0.00220287\pi\) | |||||||
\(984\) | −1.79086 | − | 10.1565i | −0.0570905 | − | 0.323776i | ||||
\(985\) | −11.2562 | + | 4.09694i | −0.358654 | + | 0.130539i | ||||
\(986\) | −6.26193 | − | 5.25438i | −0.199420 | − | 0.167334i | ||||
\(987\) | −5.80066 | −0.184637 | ||||||||
\(988\) | −1.16684 | − | 14.2970i | −0.0371222 | − | 0.454848i | ||||
\(989\) | −25.8369 | −0.821565 | ||||||||
\(990\) | 2.84730 | + | 2.38917i | 0.0904930 | + | 0.0759327i | ||||
\(991\) | −10.8174 | + | 3.93722i | −0.343627 | + | 0.125070i | −0.508068 | − | 0.861317i | \(-0.669640\pi\) |
0.164441 | + | 0.986387i | \(0.447418\pi\) | |||||||
\(992\) | −1.63429 | − | 9.26849i | −0.0518886 | − | 0.294275i | ||||
\(993\) | 1.21079 | − | 6.86673i | 0.0384232 | − | 0.217909i | ||||
\(994\) | 1.71554 | + | 0.624404i | 0.0544135 | + | 0.0198049i | ||||
\(995\) | −8.50521 | − | 14.7315i | −0.269633 | − | 0.467019i | ||||
\(996\) | −9.02141 | + | 15.6255i | −0.285854 | + | 0.495114i | ||||
\(997\) | 2.01186 | − | 1.68815i | 0.0637162 | − | 0.0534643i | −0.610373 | − | 0.792114i | \(-0.708981\pi\) |
0.674090 | + | 0.738650i | \(0.264536\pi\) | |||||||
\(998\) | −4.32429 | + | 3.62851i | −0.136883 | + | 0.114859i | ||||
\(999\) | 4.02094 | − | 6.96448i | 0.127217 | − | 0.220346i |
(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 | 570.2.u.f.301.1 | ✓ | 6 | |
19.6 | even | 9 | inner | 570.2.u.f.481.1 | yes | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.f.301.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
570.2.u.f.481.1 | yes | 6 | 19.6 | even | 9 | inner |