Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(5,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.bf (of order \(18\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.6 | ||
Character | \(\chi\) | \(=\) | 378.101 |
Dual form | 378.2.bf.a.131.6 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.642788 | + | 0.766044i | −0.454519 | + | 0.541675i | ||||
\(3\) | −0.447826 | + | 1.67316i | −0.258553 | + | 0.965997i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | 1.85498 | − | 1.55652i | 0.829574 | − | 0.696095i | −0.125619 | − | 0.992079i | \(-0.540092\pi\) |
0.955193 | + | 0.295983i | \(0.0956473\pi\) | |||||||
\(6\) | −0.993855 | − | 1.41854i | −0.405739 | − | 0.579116i | ||||
\(7\) | −2.64190 | − | 0.142622i | −0.998546 | − | 0.0539061i | ||||
\(8\) | 0.866025 | + | 0.500000i | 0.306186 | + | 0.176777i | ||||
\(9\) | −2.59890 | − | 1.49857i | −0.866301 | − | 0.499522i | ||||
\(10\) | 2.42151i | 0.765749i | ||||||||
\(11\) | −3.21395 | + | 3.83024i | −0.969043 | + | 1.15486i | 0.0188654 | + | 0.999822i | \(0.493995\pi\) |
−0.987908 | + | 0.155038i | \(0.950450\pi\) | |||||||
\(12\) | 1.72550 | + | 0.150482i | 0.498109 | + | 0.0434405i | ||||
\(13\) | −1.16088 | + | 3.18949i | −0.321970 | + | 0.884604i | 0.668106 | + | 0.744066i | \(0.267105\pi\) |
−0.990075 | + | 0.140538i | \(0.955117\pi\) | |||||||
\(14\) | 1.80744 | − | 1.93214i | 0.483058 | − | 0.516386i | ||||
\(15\) | 1.77358 | + | 3.80073i | 0.457937 | + | 0.981343i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −6.88980 | −1.67102 | −0.835511 | − | 0.549474i | \(-0.814828\pi\) | ||||
−0.835511 | + | 0.549474i | \(0.814828\pi\) | |||||||
\(18\) | 2.81851 | − | 1.02761i | 0.664330 | − | 0.242211i | ||||
\(19\) | 7.33408i | 1.68255i | 0.540605 | + | 0.841277i | \(0.318195\pi\) | ||||
−0.540605 | + | 0.841277i | \(0.681805\pi\) | |||||||
\(20\) | −1.85498 | − | 1.55652i | −0.414787 | − | 0.348048i | ||||
\(21\) | 1.42174 | − | 4.35645i | 0.310250 | − | 0.950655i | ||||
\(22\) | −0.868245 | − | 4.92406i | −0.185110 | − | 1.04981i | ||||
\(23\) | 0.798392 | − | 2.19357i | 0.166476 | − | 0.457390i | −0.828201 | − | 0.560432i | \(-0.810635\pi\) |
0.994677 | + | 0.103042i | \(0.0328575\pi\) | |||||||
\(24\) | −1.22441 | + | 1.22508i | −0.249931 | + | 0.250069i | ||||
\(25\) | 0.149981 | − | 0.850586i | 0.0299963 | − | 0.170117i | ||||
\(26\) | −1.69709 | − | 2.93945i | −0.332827 | − | 0.576473i | ||||
\(27\) | 3.67119 | − | 3.67727i | 0.706522 | − | 0.707691i | ||||
\(28\) | 0.318306 | + | 2.62653i | 0.0601543 | + | 0.496368i | ||||
\(29\) | −0.0659681 | − | 0.181246i | −0.0122500 | − | 0.0336565i | 0.933417 | − | 0.358794i | \(-0.116812\pi\) |
−0.945667 | + | 0.325137i | \(0.894590\pi\) | |||||||
\(30\) | −4.05156 | − | 1.08442i | −0.739711 | − | 0.197986i | ||||
\(31\) | 5.42663 | − | 0.956862i | 0.974652 | − | 0.171857i | 0.336429 | − | 0.941709i | \(-0.390781\pi\) |
0.638223 | + | 0.769851i | \(0.279670\pi\) | |||||||
\(32\) | 0.342020 | − | 0.939693i | 0.0604612 | − | 0.166116i | ||||
\(33\) | −4.96929 | − | 7.09273i | −0.865043 | − | 1.23469i | ||||
\(34\) | 4.42868 | − | 5.27789i | 0.759512 | − | 0.905151i | ||||
\(35\) | −5.12268 | + | 3.84761i | −0.865892 | + | 0.650364i | ||||
\(36\) | −1.02451 | + | 2.81964i | −0.170751 | + | 0.469941i | ||||
\(37\) | 2.33166 | − | 4.03856i | 0.383323 | − | 0.663935i | −0.608212 | − | 0.793775i | \(-0.708113\pi\) |
0.991535 | + | 0.129840i | \(0.0414463\pi\) | |||||||
\(38\) | −5.61823 | − | 4.71426i | −0.911397 | − | 0.764753i | ||||
\(39\) | −4.81664 | − | 3.37067i | −0.771279 | − | 0.539739i | ||||
\(40\) | 2.38472 | − | 0.420491i | 0.377058 | − | 0.0664854i | ||||
\(41\) | −7.91571 | − | 2.88108i | −1.23623 | − | 0.449950i | −0.360501 | − | 0.932759i | \(-0.617394\pi\) |
−0.875726 | + | 0.482809i | \(0.839616\pi\) | |||||||
\(42\) | 2.42335 | + | 3.88939i | 0.373932 | + | 0.600146i | ||||
\(43\) | −1.69656 | + | 9.62165i | −0.258722 | + | 1.46729i | 0.527611 | + | 0.849486i | \(0.323088\pi\) |
−0.786334 | + | 0.617802i | \(0.788023\pi\) | |||||||
\(44\) | 4.33015 | + | 2.50001i | 0.652794 | + | 0.376891i | ||||
\(45\) | −7.15347 | + | 1.26542i | −1.06638 | + | 0.188637i | ||||
\(46\) | 1.16717 | + | 2.02160i | 0.172090 | + | 0.298069i | ||||
\(47\) | 1.34884 | − | 7.64966i | 0.196749 | − | 1.11582i | −0.713158 | − | 0.701003i | \(-0.752736\pi\) |
0.909906 | − | 0.414813i | \(-0.136153\pi\) | |||||||
\(48\) | −0.151434 | − | 1.72542i | −0.0218576 | − | 0.249043i | ||||
\(49\) | 6.95932 | + | 0.753588i | 0.994188 | + | 0.107655i | ||||
\(50\) | 0.555181 | + | 0.661639i | 0.0785144 | + | 0.0935698i | ||||
\(51\) | 3.08543 | − | 11.5277i | 0.432047 | − | 1.61420i | ||||
\(52\) | 3.34262 | + | 0.589393i | 0.463537 | + | 0.0817341i | ||||
\(53\) | −2.26642 | − | 1.30852i | −0.311317 | − | 0.179739i | 0.336199 | − | 0.941791i | \(-0.390859\pi\) |
−0.647516 | + | 0.762052i | \(0.724192\pi\) | |||||||
\(54\) | 0.457156 | + | 5.17600i | 0.0622110 | + | 0.704365i | ||||
\(55\) | 12.1076i | 1.63259i | ||||||||
\(56\) | −2.21665 | − | 1.44447i | −0.296212 | − | 0.193025i | ||||
\(57\) | −12.2711 | − | 3.28440i | −1.62534 | − | 0.435029i | ||||
\(58\) | 0.181246 | + | 0.0659681i | 0.0237988 | + | 0.00866204i | ||||
\(59\) | 11.4974 | + | 4.18471i | 1.49683 | + | 0.544802i | 0.955238 | − | 0.295838i | \(-0.0955989\pi\) |
0.541594 | + | 0.840640i | \(0.317821\pi\) | |||||||
\(60\) | 3.43501 | − | 2.40663i | 0.443457 | − | 0.310694i | ||||
\(61\) | 7.33384 | + | 1.29315i | 0.939002 | + | 0.165571i | 0.622145 | − | 0.782902i | \(-0.286261\pi\) |
0.316857 | + | 0.948473i | \(0.397373\pi\) | |||||||
\(62\) | −2.75517 | + | 4.77210i | −0.349907 | + | 0.606057i | ||||
\(63\) | 6.65232 | + | 4.32973i | 0.838114 | + | 0.545495i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 2.81108 | + | 7.72337i | 0.348671 | + | 0.957966i | ||||
\(66\) | 8.62754 | + | 0.752416i | 1.06198 | + | 0.0926160i | ||||
\(67\) | −8.07656 | + | 6.77704i | −0.986709 | + | 0.827947i | −0.985088 | − | 0.172052i | \(-0.944960\pi\) |
−0.00162103 | + | 0.999999i | \(0.500516\pi\) | |||||||
\(68\) | 1.19640 | + | 6.78513i | 0.145085 | + | 0.822818i | ||||
\(69\) | 3.31264 | + | 2.31817i | 0.398795 | + | 0.279075i | ||||
\(70\) | 0.345361 | − | 6.39740i | 0.0412785 | − | 0.764635i | ||||
\(71\) | −1.60661 | + | 0.927576i | −0.190669 | + | 0.110083i | −0.592296 | − | 0.805721i | \(-0.701778\pi\) |
0.401627 | + | 0.915804i | \(0.368445\pi\) | |||||||
\(72\) | −1.50143 | − | 2.59725i | −0.176945 | − | 0.306089i | ||||
\(73\) | 5.38127 | − | 3.10688i | 0.629830 | − | 0.363633i | −0.150856 | − | 0.988556i | \(-0.548203\pi\) |
0.780686 | + | 0.624923i | \(0.214870\pi\) | |||||||
\(74\) | 1.59495 | + | 4.38209i | 0.185409 | + | 0.509408i | ||||
\(75\) | 1.35600 | + | 0.631857i | 0.156577 | + | 0.0729606i | ||||
\(76\) | 7.22266 | − | 1.27355i | 0.828496 | − | 0.146086i | ||||
\(77\) | 9.03723 | − | 9.66074i | 1.02989 | − | 1.10094i | ||||
\(78\) | 5.67815 | − | 1.52313i | 0.642924 | − | 0.172461i | ||||
\(79\) | −3.10226 | − | 2.60311i | −0.349032 | − | 0.292872i | 0.451369 | − | 0.892337i | \(-0.350936\pi\) |
−0.800401 | + | 0.599465i | \(0.795380\pi\) | |||||||
\(80\) | −1.21075 | + | 2.09709i | −0.135366 | + | 0.234462i | ||||
\(81\) | 4.50859 | + | 7.78926i | 0.500955 | + | 0.865473i | ||||
\(82\) | 7.29516 | − | 4.21186i | 0.805616 | − | 0.465122i | ||||
\(83\) | −4.64525 | + | 1.69073i | −0.509882 | + | 0.185582i | −0.584133 | − | 0.811658i | \(-0.698566\pi\) |
0.0742514 | + | 0.997240i | \(0.476343\pi\) | |||||||
\(84\) | −4.53715 | − | 0.643655i | −0.495043 | − | 0.0702285i | ||||
\(85\) | −12.7805 | + | 10.7241i | −1.38624 | + | 1.16319i | ||||
\(86\) | −6.28009 | − | 7.48431i | −0.677199 | − | 0.807054i | ||||
\(87\) | 0.332795 | − | 0.0292082i | 0.0356794 | − | 0.00313145i | ||||
\(88\) | −4.69848 | + | 1.71011i | −0.500860 | + | 0.182298i | ||||
\(89\) | 7.82284 | 0.829219 | 0.414609 | − | 0.909999i | \(-0.363918\pi\) | ||||
0.414609 | + | 0.909999i | \(0.363918\pi\) | |||||||
\(90\) | 3.62879 | − | 6.29327i | 0.382509 | − | 0.663369i | ||||
\(91\) | 3.52182 | − | 8.26075i | 0.369187 | − | 0.865962i | ||||
\(92\) | −2.29888 | − | 0.405354i | −0.239675 | − | 0.0422611i | ||||
\(93\) | −0.829211 | + | 9.50811i | −0.0859851 | + | 0.985945i | ||||
\(94\) | 4.99296 | + | 5.95038i | 0.514984 | + | 0.613734i | ||||
\(95\) | 11.4156 | + | 13.6046i | 1.17122 | + | 1.39580i | ||||
\(96\) | 1.41909 | + | 0.993072i | 0.144835 | + | 0.101355i | ||||
\(97\) | 5.40634 | + | 0.953284i | 0.548931 | + | 0.0967913i | 0.441233 | − | 0.897392i | \(-0.354541\pi\) |
0.107697 | + | 0.994184i | \(0.465652\pi\) | |||||||
\(98\) | −5.05065 | + | 4.84675i | −0.510192 | + | 0.489596i | ||||
\(99\) | 14.0926 | − | 5.13810i | 1.41636 | − | 0.516398i | ||||
\(100\) | −0.863708 | −0.0863708 | ||||||||
\(101\) | 3.60013 | − | 1.31034i | 0.358227 | − | 0.130384i | −0.156636 | − | 0.987656i | \(-0.550065\pi\) |
0.514863 | + | 0.857273i | \(0.327843\pi\) | |||||||
\(102\) | 6.84746 | + | 9.77345i | 0.677999 | + | 0.967716i | ||||
\(103\) | −9.63304 | − | 11.4802i | −0.949171 | − | 1.13118i | −0.991241 | − | 0.132064i | \(-0.957840\pi\) |
0.0420700 | − | 0.999115i | \(-0.486605\pi\) | |||||||
\(104\) | −2.60009 | + | 2.18174i | −0.254960 | + | 0.213937i | ||||
\(105\) | −4.14357 | − | 10.2941i | −0.404371 | − | 1.00460i | ||||
\(106\) | 2.45921 | − | 0.895081i | 0.238860 | − | 0.0869379i | ||||
\(107\) | −12.2712 | + | 7.08479i | −1.18630 | + | 0.684912i | −0.957464 | − | 0.288552i | \(-0.906826\pi\) |
−0.228839 | + | 0.973464i | \(0.573493\pi\) | |||||||
\(108\) | −4.25890 | − | 2.97687i | −0.409813 | − | 0.286449i | ||||
\(109\) | −1.77473 | + | 3.07392i | −0.169988 | + | 0.294428i | −0.938415 | − | 0.345509i | \(-0.887706\pi\) |
0.768427 | + | 0.639937i | \(0.221040\pi\) | |||||||
\(110\) | −9.27496 | − | 7.78262i | −0.884333 | − | 0.742043i | ||||
\(111\) | 5.71296 | + | 5.70981i | 0.542250 | + | 0.541951i | ||||
\(112\) | 2.53136 | − | 0.769564i | 0.239191 | − | 0.0727169i | ||||
\(113\) | 2.13816 | − | 0.377016i | 0.201142 | − | 0.0354667i | −0.0721695 | − | 0.997392i | \(-0.522992\pi\) |
0.273311 | + | 0.961926i | \(0.411881\pi\) | |||||||
\(114\) | 10.4037 | − | 7.28901i | 0.974394 | − | 0.682678i | ||||
\(115\) | −1.93331 | − | 5.31174i | −0.180283 | − | 0.495322i | ||||
\(116\) | −0.167037 | + | 0.0964389i | −0.0155090 | + | 0.00895413i | ||||
\(117\) | 7.79667 | − | 6.54951i | 0.720802 | − | 0.605503i | ||||
\(118\) | −10.5960 | + | 6.11763i | −0.975445 | + | 0.563173i | ||||
\(119\) | 18.2022 | + | 0.982638i | 1.66859 | + | 0.0900783i | ||||
\(120\) | −0.364395 | + | 4.17832i | −0.0332645 | + | 0.381426i | ||||
\(121\) | −2.43111 | − | 13.7875i | −0.221010 | − | 1.25341i | ||||
\(122\) | −5.70471 | + | 4.78682i | −0.516481 | + | 0.433379i | ||||
\(123\) | 8.36537 | − | 11.9540i | 0.754280 | − | 1.07786i | ||||
\(124\) | −1.88465 | − | 5.17803i | −0.169247 | − | 0.465001i | ||||
\(125\) | 5.00804 | + | 8.67417i | 0.447932 | + | 0.775841i | ||||
\(126\) | −7.59280 | + | 2.31288i | −0.676420 | + | 0.206048i | ||||
\(127\) | −7.34238 | + | 12.7174i | −0.651531 | + | 1.12848i | 0.331221 | + | 0.943553i | \(0.392540\pi\) |
−0.982751 | + | 0.184931i | \(0.940794\pi\) | |||||||
\(128\) | −0.984808 | − | 0.173648i | −0.0870455 | − | 0.0153485i | ||||
\(129\) | −15.3388 | − | 7.14743i | −1.35050 | − | 0.629296i | ||||
\(130\) | −7.72337 | − | 2.81108i | −0.677384 | − | 0.246548i | ||||
\(131\) | 1.19666 | + | 0.435548i | 0.104552 | + | 0.0380540i | 0.393767 | − | 0.919210i | \(-0.371172\pi\) |
−0.289214 | + | 0.957264i | \(0.593394\pi\) | |||||||
\(132\) | −6.12206 | + | 6.12544i | −0.532857 | + | 0.533151i | ||||
\(133\) | 1.04600 | − | 19.3759i | 0.0906999 | − | 1.68011i | ||||
\(134\) | − | 10.5432i | − | 0.910794i | ||||||
\(135\) | 1.08627 | − | 12.5356i | 0.0934914 | − | 1.07889i | ||||
\(136\) | −5.96674 | − | 3.44490i | −0.511644 | − | 0.295398i | ||||
\(137\) | −8.13627 | − | 1.43464i | −0.695129 | − | 0.122570i | −0.185090 | − | 0.982722i | \(-0.559258\pi\) |
−0.510038 | + | 0.860152i | \(0.670369\pi\) | |||||||
\(138\) | −3.90514 | + | 1.04753i | −0.332428 | + | 0.0891720i | ||||
\(139\) | −1.33413 | − | 1.58995i | −0.113159 | − | 0.134858i | 0.706491 | − | 0.707722i | \(-0.250277\pi\) |
−0.819651 | + | 0.572864i | \(0.805832\pi\) | |||||||
\(140\) | 4.67870 | + | 4.37673i | 0.395422 | + | 0.369901i | ||||
\(141\) | 12.1950 | + | 5.68254i | 1.02701 | + | 0.478556i | ||||
\(142\) | 0.322144 | − | 1.82697i | 0.0270337 | − | 0.153316i | ||||
\(143\) | −8.48549 | − | 14.6973i | −0.709592 | − | 1.22905i | ||||
\(144\) | 2.95471 | + | 0.519315i | 0.246226 | + | 0.0432763i | ||||
\(145\) | −0.404482 | − | 0.233528i | −0.0335904 | − | 0.0193934i | ||||
\(146\) | −1.07901 | + | 6.11935i | −0.0892993 | + | 0.506441i | ||||
\(147\) | −4.37744 | + | 11.3065i | −0.361045 | + | 0.932548i | ||||
\(148\) | −4.38209 | − | 1.59495i | −0.360206 | − | 0.131104i | ||||
\(149\) | −8.08444 | + | 1.42550i | −0.662303 | + | 0.116782i | −0.494688 | − | 0.869071i | \(-0.664718\pi\) |
−0.167615 | + | 0.985853i | \(0.553607\pi\) | |||||||
\(150\) | −1.35565 | + | 0.632605i | −0.110688 | + | 0.0516520i | ||||
\(151\) | 7.75915 | + | 6.51070i | 0.631430 | + | 0.529833i | 0.901373 | − | 0.433043i | \(-0.142560\pi\) |
−0.269943 | + | 0.962876i | \(0.587005\pi\) | |||||||
\(152\) | −3.66704 | + | 6.35150i | −0.297436 | + | 0.515175i | ||||
\(153\) | 17.9059 | + | 10.3248i | 1.44761 | + | 0.834713i | ||||
\(154\) | 1.59154 | + | 13.1327i | 0.128250 | + | 1.05827i | ||||
\(155\) | 8.57694 | − | 10.2216i | 0.688917 | − | 0.821019i | ||||
\(156\) | −2.48306 | + | 5.32877i | −0.198804 | + | 0.426643i | ||||
\(157\) | −5.33273 | + | 14.6515i | −0.425598 | + | 1.16932i | 0.522860 | + | 0.852418i | \(0.324865\pi\) |
−0.948458 | + | 0.316902i | \(0.897357\pi\) | |||||||
\(158\) | 3.98819 | − | 0.703225i | 0.317283 | − | 0.0559456i | ||||
\(159\) | 3.20432 | − | 3.20609i | 0.254119 | − | 0.254260i | ||||
\(160\) | −0.828205 | − | 2.27547i | −0.0654754 | − | 0.179892i | ||||
\(161\) | −2.42213 | + | 5.68132i | −0.190890 | + | 0.447751i | ||||
\(162\) | −8.86499 | − | 1.55306i | −0.696499 | − | 0.122020i | ||||
\(163\) | 2.69868 | + | 4.67426i | 0.211377 | + | 0.366116i | 0.952146 | − | 0.305644i | \(-0.0988718\pi\) |
−0.740769 | + | 0.671760i | \(0.765538\pi\) | |||||||
\(164\) | −1.46276 | + | 8.29575i | −0.114223 | + | 0.647789i | ||||
\(165\) | −20.2579 | − | 5.42210i | −1.57708 | − | 0.422110i | ||||
\(166\) | 1.69073 | − | 4.64525i | 0.131226 | − | 0.360541i | ||||
\(167\) | −1.74196 | − | 9.87912i | −0.134797 | − | 0.764469i | −0.975001 | − | 0.222200i | \(-0.928676\pi\) |
0.840205 | − | 0.542269i | \(-0.182435\pi\) | |||||||
\(168\) | 3.40949 | − | 3.06192i | 0.263048 | − | 0.236233i | ||||
\(169\) | 1.13339 | + | 0.951030i | 0.0871841 | + | 0.0731561i | ||||
\(170\) | − | 16.6837i | − | 1.27958i | ||||||
\(171\) | 10.9906 | − | 19.0606i | 0.840473 | − | 1.45760i | ||||
\(172\) | 9.77008 | 0.744962 | ||||||||
\(173\) | 13.8080 | − | 5.02572i | 1.04981 | − | 0.382098i | 0.241217 | − | 0.970471i | \(-0.422454\pi\) |
0.808590 | + | 0.588373i | \(0.200231\pi\) | |||||||
\(174\) | −0.191542 | + | 0.273710i | −0.0145207 | + | 0.0207499i | ||||
\(175\) | −0.517549 | + | 2.22578i | −0.0391230 | + | 0.168253i | ||||
\(176\) | 1.71011 | − | 4.69848i | 0.128904 | − | 0.354162i | ||||
\(177\) | −12.1505 | + | 17.3629i | −0.913287 | + | 1.30508i | ||||
\(178\) | −5.02842 | + | 5.99264i | −0.376896 | + | 0.449167i | ||||
\(179\) | 22.9601i | 1.71612i | 0.513551 | + | 0.858059i | \(0.328330\pi\) | ||||
−0.513551 | + | 0.858059i | \(0.671670\pi\) | |||||||
\(180\) | 2.48838 | + | 6.82505i | 0.185473 | + | 0.508709i | ||||
\(181\) | −1.45591 | − | 0.840572i | −0.108217 | − | 0.0624792i | 0.444915 | − | 0.895573i | \(-0.353234\pi\) |
−0.553132 | + | 0.833094i | \(0.686567\pi\) | |||||||
\(182\) | 4.06432 | + | 8.00778i | 0.301267 | + | 0.593576i | ||||
\(183\) | −5.44793 | + | 11.6915i | −0.402723 | + | 0.864264i | ||||
\(184\) | 1.78821 | − | 1.50049i | 0.131829 | − | 0.110617i | ||||
\(185\) | −1.96088 | − | 11.1207i | −0.144167 | − | 0.817612i | ||||
\(186\) | −6.75063 | − | 6.74691i | −0.494980 | − | 0.494707i | ||||
\(187\) | 22.1435 | − | 26.3896i | 1.61929 | − | 1.92980i | ||||
\(188\) | −7.76766 | −0.566515 | ||||||||
\(189\) | −10.2234 | + | 9.19141i | −0.743643 | + | 0.668577i | ||||
\(190\) | −17.7595 | −1.28841 | ||||||||
\(191\) | −0.129125 | + | 0.153885i | −0.00934316 | + | 0.0111347i | −0.770696 | − | 0.637203i | \(-0.780091\pi\) |
0.761353 | + | 0.648338i | \(0.224536\pi\) | |||||||
\(192\) | −1.67291 | + | 0.448749i | −0.120732 | + | 0.0323857i | ||||
\(193\) | 0.933322 | + | 5.29313i | 0.0671820 | + | 0.381008i | 0.999797 | + | 0.0201358i | \(0.00640987\pi\) |
−0.932615 | + | 0.360872i | \(0.882479\pi\) | |||||||
\(194\) | −4.20539 | + | 3.52874i | −0.301929 | + | 0.253349i | ||||
\(195\) | −14.1813 | + | 1.24464i | −1.01554 | + | 0.0891306i | ||||
\(196\) | −0.466333 | − | 6.98445i | −0.0333095 | − | 0.498889i | ||||
\(197\) | 5.06568 | + | 2.92467i | 0.360915 | + | 0.208374i | 0.669482 | − | 0.742828i | \(-0.266516\pi\) |
−0.308567 | + | 0.951203i | \(0.599849\pi\) | |||||||
\(198\) | −5.12255 | + | 14.0983i | −0.364044 | + | 1.00192i | ||||
\(199\) | 8.97040i | 0.635895i | 0.948108 | + | 0.317947i | \(0.102994\pi\) | ||||
−0.948108 | + | 0.317947i | \(0.897006\pi\) | |||||||
\(200\) | 0.555181 | − | 0.661639i | 0.0392572 | − | 0.0467849i | ||||
\(201\) | −7.72215 | − | 16.5483i | −0.544678 | − | 1.16723i | ||||
\(202\) | −1.31034 | + | 3.60013i | −0.0921953 | + | 0.253304i | ||||
\(203\) | 0.148432 | + | 0.488243i | 0.0104179 | + | 0.0342679i | ||||
\(204\) | −11.8884 | − | 1.03679i | −0.832352 | − | 0.0725901i | ||||
\(205\) | −19.1680 | + | 6.97657i | −1.33875 | + | 0.487265i | ||||
\(206\) | 14.9863 | 1.04415 | ||||||||
\(207\) | −5.36215 | + | 4.50442i | −0.372695 | + | 0.313079i | ||||
\(208\) | − | 3.39418i | − | 0.235344i | ||||||
\(209\) | −28.0913 | − | 23.5714i | −1.94311 | − | 1.63047i | ||||
\(210\) | 10.5492 | + | 3.44277i | 0.727963 | + | 0.237573i | ||||
\(211\) | −4.38305 | − | 24.8575i | −0.301742 | − | 1.71126i | −0.638458 | − | 0.769657i | \(-0.720427\pi\) |
0.336716 | − | 0.941606i | \(-0.390684\pi\) | |||||||
\(212\) | −0.895081 | + | 2.45921i | −0.0614744 | + | 0.168899i | ||||
\(213\) | −0.832497 | − | 3.10350i | −0.0570418 | − | 0.212648i | ||||
\(214\) | 2.46052 | − | 13.9543i | 0.168198 | − | 0.953897i | ||||
\(215\) | 11.8292 | + | 20.4887i | 0.806743 | + | 1.39732i | ||||
\(216\) | 5.01798 | − | 1.34901i | 0.341431 | − | 0.0917888i | ||||
\(217\) | −14.4731 | + | 1.75398i | −0.982499 | + | 0.119068i | ||||
\(218\) | −1.21399 | − | 3.33540i | −0.0822215 | − | 0.225902i | ||||
\(219\) | 2.78842 | + | 10.3950i | 0.188424 | + | 0.702432i | ||||
\(220\) | 11.9237 | − | 2.10246i | 0.803893 | − | 0.141748i | ||||
\(221\) | 7.99822 | − | 21.9749i | 0.538018 | − | 1.47819i | ||||
\(222\) | −8.04618 | + | 0.706185i | −0.540024 | + | 0.0473960i | ||||
\(223\) | −6.40857 | + | 7.63744i | −0.429150 | + | 0.511441i | −0.936677 | − | 0.350195i | \(-0.886115\pi\) |
0.507527 | + | 0.861636i | \(0.330560\pi\) | |||||||
\(224\) | −1.03761 | + | 2.43380i | −0.0693279 | + | 0.162615i | ||||
\(225\) | −1.66445 | + | 1.98583i | −0.110963 | + | 0.132389i | ||||
\(226\) | −1.08557 | + | 1.88027i | −0.0722113 | + | 0.125074i | ||||
\(227\) | −10.0514 | − | 8.43416i | −0.667138 | − | 0.559795i | 0.245079 | − | 0.969503i | \(-0.421186\pi\) |
−0.912217 | + | 0.409708i | \(0.865631\pi\) | |||||||
\(228\) | −1.10365 | + | 12.6550i | −0.0730910 | + | 0.838096i | ||||
\(229\) | −7.65616 | + | 1.34999i | −0.505934 | + | 0.0892097i | −0.420788 | − | 0.907159i | \(-0.638247\pi\) |
−0.0851452 | + | 0.996369i | \(0.527135\pi\) | |||||||
\(230\) | 5.31174 | + | 1.93331i | 0.350246 | + | 0.127479i | ||||
\(231\) | 12.1168 | + | 19.4470i | 0.797228 | + | 1.27952i | ||||
\(232\) | 0.0334929 | − | 0.189948i | 0.00219892 | − | 0.0124707i | ||||
\(233\) | −3.83908 | − | 2.21649i | −0.251506 | − | 0.145207i | 0.368947 | − | 0.929450i | \(-0.379718\pi\) |
−0.620454 | + | 0.784243i | \(0.713052\pi\) | |||||||
\(234\) | 0.00561452 | + | 10.1825i | 0.000367032 | + | 0.665653i | ||||
\(235\) | −9.40474 | − | 16.2895i | −0.613497 | − | 1.06261i | ||||
\(236\) | 2.12463 | − | 12.0494i | 0.138302 | − | 0.784348i | ||||
\(237\) | 5.74468 | − | 4.02483i | 0.373157 | − | 0.261441i | ||||
\(238\) | −12.4529 | + | 13.3121i | −0.807201 | + | 0.862893i | ||||
\(239\) | 0.0442139 | + | 0.0526920i | 0.00285996 | + | 0.00340836i | 0.767473 | − | 0.641082i | \(-0.221514\pi\) |
−0.764613 | + | 0.644490i | \(0.777070\pi\) | |||||||
\(240\) | −2.96655 | − | 2.96491i | −0.191490 | − | 0.191384i | ||||
\(241\) | 12.0443 | + | 2.12373i | 0.775840 | + | 0.136801i | 0.547529 | − | 0.836787i | \(-0.315569\pi\) |
0.228311 | + | 0.973588i | \(0.426680\pi\) | |||||||
\(242\) | 12.1245 | + | 7.00011i | 0.779395 | + | 0.449984i | ||||
\(243\) | −15.0517 | + | 4.05534i | −0.965568 | + | 0.260150i | ||||
\(244\) | − | 7.44697i | − | 0.476744i | ||||||
\(245\) | 14.0824 | − | 9.43440i | 0.899691 | − | 0.602742i | ||||
\(246\) | 3.78014 | + | 14.0921i | 0.241013 | + | 0.898481i | ||||
\(247\) | −23.3919 | − | 8.51397i | −1.48839 | − | 0.541731i | ||||
\(248\) | 5.17803 | + | 1.88465i | 0.328805 | + | 0.119675i | ||||
\(249\) | −0.748593 | − | 8.52938i | −0.0474402 | − | 0.540527i | ||||
\(250\) | −9.86390 | − | 1.73927i | −0.623848 | − | 0.110001i | ||||
\(251\) | 3.13252 | − | 5.42569i | 0.197723 | − | 0.342466i | −0.750067 | − | 0.661362i | \(-0.769979\pi\) |
0.947790 | + | 0.318896i | \(0.103312\pi\) | |||||||
\(252\) | 3.10879 | − | 7.30311i | 0.195835 | − | 0.460053i | ||||
\(253\) | 5.83588 | + | 10.1080i | 0.366899 | + | 0.635488i | ||||
\(254\) | −5.02248 | − | 13.7992i | −0.315139 | − | 0.865836i | ||||
\(255\) | −12.2196 | − | 26.1862i | −0.765223 | − | 1.63985i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 0.930208 | + | 5.27547i | 0.0580248 | + | 0.329075i | 0.999978 | − | 0.00666986i | \(-0.00212310\pi\) |
−0.941953 | + | 0.335745i | \(0.891012\pi\) | |||||||
\(258\) | 15.3348 | − | 7.15589i | 0.954704 | − | 0.445506i | ||||
\(259\) | −6.73601 | + | 10.3369i | −0.418556 | + | 0.642306i | ||||
\(260\) | 7.11790 | − | 4.10952i | 0.441433 | − | 0.254862i | ||||
\(261\) | −0.100164 | + | 0.569898i | −0.00620002 | + | 0.0352758i | ||||
\(262\) | −1.10285 | + | 0.636728i | −0.0681340 | + | 0.0393372i | ||||
\(263\) | 9.33788 | + | 25.6556i | 0.575798 | + | 1.58199i | 0.795193 | + | 0.606357i | \(0.207370\pi\) |
−0.219394 | + | 0.975636i | \(0.570408\pi\) | |||||||
\(264\) | −0.757173 | − | 8.62713i | −0.0466008 | − | 0.530963i | ||||
\(265\) | −6.24091 | + | 1.10044i | −0.383376 | + | 0.0675996i | ||||
\(266\) | 14.1705 | + | 13.2559i | 0.868847 | + | 0.812771i | ||||
\(267\) | −3.50327 | + | 13.0888i | −0.214397 | + | 0.801023i | ||||
\(268\) | 8.07656 | + | 6.77704i | 0.493354 | + | 0.413974i | ||||
\(269\) | −4.92476 | + | 8.52993i | −0.300268 | + | 0.520079i | −0.976196 | − | 0.216888i | \(-0.930409\pi\) |
0.675929 | + | 0.736967i | \(0.263743\pi\) | |||||||
\(270\) | 8.90455 | + | 8.88983i | 0.541914 | + | 0.541018i | ||||
\(271\) | 16.5456 | − | 9.55259i | 1.00507 | − | 0.580279i | 0.0953270 | − | 0.995446i | \(-0.469610\pi\) |
0.909745 | + | 0.415167i | \(0.136277\pi\) | |||||||
\(272\) | 6.47429 | − | 2.35645i | 0.392562 | − | 0.142881i | ||||
\(273\) | 12.2444 | + | 9.59194i | 0.741062 | + | 0.580530i | ||||
\(274\) | 6.32890 | − | 5.31057i | 0.382343 | − | 0.320824i | ||||
\(275\) | 2.77592 | + | 3.30821i | 0.167394 | + | 0.199492i | ||||
\(276\) | 1.70772 | − | 3.66486i | 0.102793 | − | 0.220598i | ||||
\(277\) | −6.45570 | + | 2.34968i | −0.387885 | + | 0.141179i | −0.528599 | − | 0.848872i | \(-0.677283\pi\) |
0.140714 | + | 0.990050i | \(0.455060\pi\) | |||||||
\(278\) | 2.07554 | 0.124482 | ||||||||
\(279\) | −15.5372 | − | 5.64538i | −0.930189 | − | 0.337980i | ||||
\(280\) | −6.36018 | + | 0.770782i | −0.380093 | + | 0.0460630i | ||||
\(281\) | −16.2044 | − | 2.85728i | −0.966675 | − | 0.170451i | −0.332042 | − | 0.943265i | \(-0.607738\pi\) |
−0.634633 | + | 0.772814i | \(0.718849\pi\) | |||||||
\(282\) | −12.1919 | + | 5.68926i | −0.726016 | + | 0.338791i | ||||
\(283\) | −2.84602 | − | 3.39175i | −0.169178 | − | 0.201619i | 0.674793 | − | 0.738007i | \(-0.264233\pi\) |
−0.843971 | + | 0.536388i | \(0.819788\pi\) | |||||||
\(284\) | 1.19247 | + | 1.42113i | 0.0707600 | + | 0.0843285i | ||||
\(285\) | −27.8748 | + | 13.0076i | −1.65116 | + | 0.770504i | ||||
\(286\) | 16.7131 | + | 2.94698i | 0.988269 | + | 0.174259i | ||||
\(287\) | 20.5016 | + | 8.74050i | 1.21017 | + | 0.515936i | ||||
\(288\) | −2.29707 | + | 1.92963i | −0.135356 | + | 0.113705i | ||||
\(289\) | 30.4693 | 1.79231 | ||||||||
\(290\) | 0.438889 | − | 0.159742i | 0.0257724 | − | 0.00938040i | ||||
\(291\) | −4.01609 | + | 8.61874i | −0.235428 | + | 0.505240i | ||||
\(292\) | −3.99413 | − | 4.76001i | −0.233738 | − | 0.278559i | ||||
\(293\) | 10.9748 | − | 9.20896i | 0.641155 | − | 0.537993i | −0.263217 | − | 0.964737i | \(-0.584784\pi\) |
0.904373 | + | 0.426743i | \(0.140339\pi\) | |||||||
\(294\) | −5.84756 | − | 10.6210i | −0.341036 | − | 0.619431i | ||||
\(295\) | 27.8410 | − | 10.1333i | 1.62097 | − | 0.589984i | ||||
\(296\) | 4.03856 | − | 2.33166i | 0.234736 | − | 0.135525i | ||||
\(297\) | 2.28579 | + | 25.8801i | 0.132635 | + | 1.50172i | ||||
\(298\) | 4.10458 | − | 7.10934i | 0.237772 | − | 0.411833i | ||||
\(299\) | 6.06951 | + | 5.09292i | 0.351009 | + | 0.294531i | ||||
\(300\) | 0.386791 | − | 1.44512i | 0.0223314 | − | 0.0834339i | ||||
\(301\) | 5.85440 | − | 25.1775i | 0.337442 | − | 1.45121i | ||||
\(302\) | −9.97497 | + | 1.75886i | −0.573995 | + | 0.101211i | ||||
\(303\) | 0.580171 | + | 6.61039i | 0.0333299 | + | 0.379757i | ||||
\(304\) | −2.50840 | − | 6.89178i | −0.143867 | − | 0.395271i | ||||
\(305\) | 15.6170 | − | 9.01646i | 0.894225 | − | 0.516281i | ||||
\(306\) | −19.4190 | + | 7.08006i | −1.11011 | + | 0.404740i | ||||
\(307\) | 26.2998 | − | 15.1842i | 1.50101 | − | 0.866608i | 0.501009 | − | 0.865442i | \(-0.332962\pi\) |
0.999999 | − | 0.00116606i | \(-0.000371168\pi\) | |||||||
\(308\) | −11.0833 | − | 7.22236i | −0.631528 | − | 0.411532i | ||||
\(309\) | 23.5221 | − | 10.9764i | 1.33813 | − | 0.624427i | ||||
\(310\) | 2.31705 | + | 13.1406i | 0.131600 | + | 0.746338i | ||||
\(311\) | 13.8700 | − | 11.6383i | 0.786493 | − | 0.659946i | −0.158382 | − | 0.987378i | \(-0.550628\pi\) |
0.944875 | + | 0.327432i | \(0.106183\pi\) | |||||||
\(312\) | −2.48600 | − | 5.32740i | −0.140742 | − | 0.301605i | ||||
\(313\) | 9.29912 | + | 25.5491i | 0.525617 | + | 1.44412i | 0.864182 | + | 0.503179i | \(0.167836\pi\) |
−0.338565 | + | 0.940943i | \(0.609942\pi\) | |||||||
\(314\) | −7.79593 | − | 13.5029i | −0.439950 | − | 0.762015i | ||||
\(315\) | 19.0793 | − | 2.32287i | 1.07499 | − | 0.130879i | ||||
\(316\) | −2.02486 | + | 3.50716i | −0.113907 | + | 0.197293i | ||||
\(317\) | 0.539221 | + | 0.0950793i | 0.0302857 | + | 0.00534018i | 0.188770 | − | 0.982021i | \(-0.439550\pi\) |
−0.158485 | + | 0.987361i | \(0.550661\pi\) | |||||||
\(318\) | 0.396309 | + | 4.51549i | 0.0222239 | + | 0.253216i | ||||
\(319\) | 0.906234 | + | 0.329842i | 0.0507393 | + | 0.0184676i | ||||
\(320\) | 2.27547 | + | 0.828205i | 0.127203 | + | 0.0462981i | ||||
\(321\) | −6.35858 | − | 23.7044i | −0.354902 | − | 1.32305i | ||||
\(322\) | −2.79523 | − | 5.50734i | −0.155772 | − | 0.306912i | ||||
\(323\) | − | 50.5303i | − | 2.81158i | ||||||
\(324\) | 6.88802 | − | 5.79269i | 0.382668 | − | 0.321816i | ||||
\(325\) | 2.53882 | + | 1.46579i | 0.140829 | + | 0.0813074i | ||||
\(326\) | −5.31537 | − | 0.937243i | −0.294391 | − | 0.0519091i | ||||
\(327\) | −4.34838 | − | 4.34598i | −0.240466 | − | 0.240333i | ||||
\(328\) | −5.41467 | − | 6.45295i | −0.298975 | − | 0.356304i | ||||
\(329\) | −4.65452 | + | 20.0173i | −0.256612 | + | 1.10359i | ||||
\(330\) | 17.1751 | − | 12.0332i | 0.945458 | − | 0.662406i | ||||
\(331\) | −2.28385 | + | 12.9524i | −0.125532 | + | 0.711927i | 0.855459 | + | 0.517871i | \(0.173275\pi\) |
−0.980991 | + | 0.194056i | \(0.937836\pi\) | |||||||
\(332\) | 2.47168 | + | 4.28108i | 0.135651 | + | 0.234955i | ||||
\(333\) | −12.1118 | + | 7.00166i | −0.663723 | + | 0.383689i | ||||
\(334\) | 8.68755 | + | 5.01576i | 0.475362 | + | 0.274450i | ||||
\(335\) | −4.43332 | + | 25.1426i | −0.242218 | + | 1.37369i | ||||
\(336\) | 0.153991 | + | 4.57999i | 0.00840089 | + | 0.249859i | ||||
\(337\) | −6.44993 | − | 2.34758i | −0.351350 | − | 0.127881i | 0.160315 | − | 0.987066i | \(-0.448749\pi\) |
−0.511665 | + | 0.859185i | \(0.670971\pi\) | |||||||
\(338\) | −1.45706 | + | 0.256919i | −0.0792537 | + | 0.0139746i | ||||
\(339\) | −0.326720 | + | 3.74632i | −0.0177450 | + | 0.203472i | ||||
\(340\) | 12.7805 | + | 10.7241i | 0.693118 | + | 0.581595i | ||||
\(341\) | −13.7759 | + | 23.8606i | −0.746008 | + | 1.29212i | ||||
\(342\) | 7.53661 | + | 20.6712i | 0.407533 | + | 1.11777i | ||||
\(343\) | −18.2784 | − | 2.98346i | −0.986939 | − | 0.161092i | ||||
\(344\) | −6.28009 | + | 7.48431i | −0.338600 | + | 0.403527i | ||||
\(345\) | 9.75316 | − | 0.856000i | 0.525092 | − | 0.0460855i | ||||
\(346\) | −5.02572 | + | 13.8080i | −0.270184 | + | 0.742325i | ||||
\(347\) | 6.68724 | − | 1.17914i | 0.358990 | − | 0.0632996i | 0.00875547 | − | 0.999962i | \(-0.497213\pi\) |
0.350234 | + | 0.936662i | \(0.386102\pi\) | |||||||
\(348\) | −0.0865537 | − | 0.322667i | −0.00463977 | − | 0.0172968i | ||||
\(349\) | 10.7820 | + | 29.6233i | 0.577147 | + | 1.58570i | 0.792966 | + | 0.609265i | \(0.208536\pi\) |
−0.215819 | + | 0.976433i | \(0.569242\pi\) | |||||||
\(350\) | −1.37237 | − | 1.82717i | −0.0733563 | − | 0.0976662i | ||||
\(351\) | 7.46680 | + | 15.9781i | 0.398548 | + | 0.852847i | ||||
\(352\) | 2.50001 | + | 4.33015i | 0.133251 | + | 0.230798i | ||||
\(353\) | 0.857051 | − | 4.86058i | 0.0456162 | − | 0.258702i | −0.953468 | − | 0.301495i | \(-0.902514\pi\) |
0.999084 | + | 0.0427926i | \(0.0136255\pi\) | |||||||
\(354\) | −5.49056 | − | 20.4685i | −0.291820 | − | 1.08789i | ||||
\(355\) | −1.53645 | + | 4.22135i | −0.0815461 | + | 0.224046i | ||||
\(356\) | −1.35842 | − | 7.70399i | −0.0719962 | − | 0.408311i | ||||
\(357\) | −9.79553 | + | 30.0151i | −0.518434 | + | 1.58857i | ||||
\(358\) | −17.5884 | − | 14.7585i | −0.929578 | − | 0.780009i | ||||
\(359\) | 2.36896i | 0.125029i | 0.998044 | + | 0.0625145i | \(0.0199120\pi\) | ||||
−0.998044 | + | 0.0625145i | \(0.980088\pi\) | |||||||
\(360\) | −6.82779 | − | 2.48085i | −0.359856 | − | 0.130752i | ||||
\(361\) | −34.7887 | −1.83099 | ||||||||
\(362\) | 1.57976 | − | 0.574985i | 0.0830303 | − | 0.0302206i | ||||
\(363\) | 24.1574 | + | 2.10679i | 1.26793 | + | 0.110578i | ||||
\(364\) | −8.74681 | − | 2.03385i | −0.458457 | − | 0.106603i | ||||
\(365\) | 5.14626 | − | 14.1392i | 0.269368 | − | 0.740082i | ||||
\(366\) | −5.45438 | − | 11.6885i | −0.285105 | − | 0.610970i | ||||
\(367\) | −7.86783 | + | 9.37652i | −0.410697 | + | 0.489450i | −0.931251 | − | 0.364379i | \(-0.881281\pi\) |
0.520553 | + | 0.853829i | \(0.325726\pi\) | |||||||
\(368\) | 2.33434i | 0.121686i | ||||||||
\(369\) | 16.2547 | + | 19.3499i | 0.846184 | + | 1.00731i | ||||
\(370\) | 9.77940 | + | 5.64614i | 0.508407 | + | 0.293529i | ||||
\(371\) | 5.80105 | + | 3.78023i | 0.301176 | + | 0.196260i | ||||
\(372\) | 9.50765 | − | 0.834453i | 0.492949 | − | 0.0432644i | ||||
\(373\) | 14.2079 | − | 11.9218i | 0.735655 | − | 0.617288i | −0.196012 | − | 0.980602i | \(-0.562799\pi\) |
0.931667 | + | 0.363313i | \(0.118355\pi\) | |||||||
\(374\) | 5.98203 | + | 33.9258i | 0.309323 | + | 1.75426i | ||||
\(375\) | −16.7560 | + | 4.49470i | −0.865275 | + | 0.232105i | ||||
\(376\) | 4.99296 | − | 5.95038i | 0.257492 | − | 0.306867i | ||||
\(377\) | 0.654662 | 0.0337168 | ||||||||
\(378\) | −0.469549 | − | 13.7397i | −0.0241510 | − | 0.706694i | ||||
\(379\) | −15.4787 | −0.795089 | −0.397544 | − | 0.917583i | \(-0.630137\pi\) | ||||
−0.397544 | + | 0.917583i | \(0.630137\pi\) | |||||||
\(380\) | 11.4156 | − | 13.6046i | 0.585609 | − | 0.697901i | ||||
\(381\) | −17.9900 | − | 17.9801i | −0.921658 | − | 0.921150i | ||||
\(382\) | −0.0348829 | − | 0.197831i | −0.00178477 | − | 0.0101219i | ||||
\(383\) | −25.6604 | + | 21.5316i | −1.31118 | + | 1.10021i | −0.323089 | + | 0.946368i | \(0.604721\pi\) |
−0.988095 | + | 0.153846i | \(0.950834\pi\) | |||||||
\(384\) | 0.731563 | − | 1.56997i | 0.0373324 | − | 0.0801173i | ||||
\(385\) | 1.72681 | − | 31.9871i | 0.0880065 | − | 1.63021i | ||||
\(386\) | −4.65470 | − | 2.68739i | −0.236918 | − | 0.136785i | ||||
\(387\) | 18.8279 | − | 22.4633i | 0.957075 | − | 1.14188i | ||||
\(388\) | − | 5.48974i | − | 0.278699i | ||||||
\(389\) | 15.1378 | − | 18.0406i | 0.767518 | − | 0.914693i | −0.230780 | − | 0.973006i | \(-0.574128\pi\) |
0.998298 | + | 0.0583133i | \(0.0185723\pi\) | |||||||
\(390\) | 8.16210 | − | 11.6635i | 0.413304 | − | 0.590606i | ||||
\(391\) | −5.50076 | + | 15.1132i | −0.278186 | + | 0.764309i | ||||
\(392\) | 5.65015 | + | 4.13229i | 0.285376 | + | 0.208712i | ||||
\(393\) | −1.26463 | + | 1.80715i | −0.0637924 | + | 0.0911584i | ||||
\(394\) | −5.49658 | + | 2.00059i | −0.276914 | + | 0.100788i | ||||
\(395\) | −9.80642 | −0.493415 | ||||||||
\(396\) | −7.50719 | − | 12.9863i | −0.377251 | − | 0.652586i | ||||
\(397\) | 2.57168i | 0.129069i | 0.997915 | + | 0.0645344i | \(0.0205562\pi\) | ||||
−0.997915 | + | 0.0645344i | \(0.979444\pi\) | |||||||
\(398\) | −6.87172 | − | 5.76606i | −0.344448 | − | 0.289027i | ||||
\(399\) | 31.9505 | + | 10.4272i | 1.59953 | + | 0.522012i | ||||
\(400\) | 0.149981 | + | 0.850586i | 0.00749906 | + | 0.0425293i | ||||
\(401\) | −7.84541 | + | 21.5551i | −0.391781 | + | 1.07641i | 0.574407 | + | 0.818570i | \(0.305233\pi\) |
−0.966188 | + | 0.257840i | \(0.916989\pi\) | |||||||
\(402\) | 17.6404 | + | 4.72152i | 0.879824 | + | 0.235488i | ||||
\(403\) | −3.24776 | + | 18.4190i | −0.161783 | + | 0.917514i | ||||
\(404\) | −1.91559 | − | 3.31790i | −0.0953042 | − | 0.165072i | ||||
\(405\) | 20.4875 | + | 7.43126i | 1.01803 | + | 0.369262i | ||||
\(406\) | −0.469426 | − | 0.200131i | −0.0232972 | − | 0.00993234i | ||||
\(407\) | 7.97479 | + | 21.9105i | 0.395296 | + | 1.08607i | ||||
\(408\) | 8.43592 | − | 8.44057i | 0.417640 | − | 0.417871i | ||||
\(409\) | 9.74312 | − | 1.71797i | 0.481766 | − | 0.0849484i | 0.0725096 | − | 0.997368i | \(-0.476899\pi\) |
0.409257 | + | 0.912419i | \(0.365788\pi\) | |||||||
\(410\) | 6.97657 | − | 19.1680i | 0.344548 | − | 0.946639i | ||||
\(411\) | 6.04402 | − | 12.9708i | 0.298130 | − | 0.639802i | ||||
\(412\) | −9.63304 | + | 11.4802i | −0.474586 | + | 0.565589i | ||||
\(413\) | −29.7782 | − | 12.6954i | −1.46529 | − | 0.624698i | ||||
\(414\) | −0.00386138 | − | 7.00303i | −0.000189776 | − | 0.344180i | ||||
\(415\) | −5.98521 | + | 10.3667i | −0.293802 | + | 0.508880i | ||||
\(416\) | 2.60009 | + | 2.18174i | 0.127480 | + | 0.106968i | ||||
\(417\) | 3.25770 | − | 1.52018i | 0.159530 | − | 0.0744437i | ||||
\(418\) | 36.1135 | − | 6.36778i | 1.76637 | − | 0.311458i | ||||
\(419\) | 5.78462 | + | 2.10543i | 0.282597 | + | 0.102857i | 0.479430 | − | 0.877580i | \(-0.340843\pi\) |
−0.196833 | + | 0.980437i | \(0.563066\pi\) | |||||||
\(420\) | −9.41819 | + | 5.86817i | −0.459561 | + | 0.286338i | ||||
\(421\) | 3.55173 | − | 20.1429i | 0.173101 | − | 0.981704i | −0.767212 | − | 0.641393i | \(-0.778357\pi\) |
0.940313 | − | 0.340310i | \(-0.110532\pi\) | |||||||
\(422\) | 21.8593 | + | 12.6205i | 1.06410 | + | 0.614356i | ||||
\(423\) | −14.9690 | + | 17.8594i | −0.727819 | + | 0.868353i | ||||
\(424\) | −1.30852 | − | 2.26642i | −0.0635474 | − | 0.110067i | ||||
\(425\) | −1.03334 | + | 5.86037i | −0.0501244 | + | 0.284270i | ||||
\(426\) | 2.91254 | + | 1.35716i | 0.141113 | + | 0.0657547i | ||||
\(427\) | −19.1909 | − | 4.46236i | −0.928711 | − | 0.215949i | ||||
\(428\) | 9.10803 | + | 10.8545i | 0.440253 | + | 0.524673i | ||||
\(429\) | 28.3909 | − | 7.61571i | 1.37073 | − | 0.367690i | ||||
\(430\) | −23.2989 | − | 4.10823i | −1.12357 | − | 0.198116i | ||||
\(431\) | −5.50792 | − | 3.18000i | −0.265307 | − | 0.153175i | 0.361446 | − | 0.932393i | \(-0.382283\pi\) |
−0.626753 | + | 0.779218i | \(0.715617\pi\) | |||||||
\(432\) | −2.19209 | + | 4.71113i | −0.105467 | + | 0.226664i | ||||
\(433\) | − | 10.0805i | − | 0.484439i | −0.970221 | − | 0.242220i | \(-0.922125\pi\) | ||
0.970221 | − | 0.242220i | \(-0.0778755\pi\) | |||||||
\(434\) | 7.95951 | − | 12.2145i | 0.382069 | − | 0.586314i | ||||
\(435\) | 0.571866 | − | 0.572182i | 0.0274189 | − | 0.0274340i | ||||
\(436\) | 3.33540 | + | 1.21399i | 0.159737 | + | 0.0581394i | ||||
\(437\) | 16.0878 | + | 5.85547i | 0.769583 | + | 0.280105i | ||||
\(438\) | −9.75543 | − | 4.54576i | −0.466132 | − | 0.217205i | ||||
\(439\) | −30.6887 | − | 5.41125i | −1.46469 | − | 0.258265i | −0.616250 | − | 0.787551i | \(-0.711349\pi\) |
−0.848444 | + | 0.529286i | \(0.822460\pi\) | |||||||
\(440\) | −6.05380 | + | 10.4855i | −0.288604 | + | 0.499876i | ||||
\(441\) | −16.9573 | − | 12.3875i | −0.807490 | − | 0.589881i | ||||
\(442\) | 11.6926 | + | 20.2522i | 0.556161 | + | 0.963299i | ||||
\(443\) | 1.23830 | + | 3.40220i | 0.0588334 | + | 0.161643i | 0.965627 | − | 0.259931i | \(-0.0836998\pi\) |
−0.906794 | + | 0.421574i | \(0.861478\pi\) | |||||||
\(444\) | 4.63102 | − | 6.61766i | 0.219778 | − | 0.314060i | ||||
\(445\) | 14.5112 | − | 12.1764i | 0.687899 | − | 0.577215i | ||||
\(446\) | −1.73127 | − | 9.81850i | −0.0819779 | − | 0.464920i | ||||
\(447\) | 1.23533 | − | 14.1649i | 0.0584293 | − | 0.669977i | ||||
\(448\) | −1.19744 | − | 2.35927i | −0.0565736 | − | 0.111465i | ||||
\(449\) | −13.3495 | + | 7.70733i | −0.630001 | + | 0.363731i | −0.780753 | − | 0.624840i | \(-0.785164\pi\) |
0.150751 | + | 0.988572i | \(0.451831\pi\) | |||||||
\(450\) | −0.451351 | − | 2.55151i | −0.0212769 | − | 0.120279i | ||||
\(451\) | 36.4760 | − | 21.0594i | 1.71759 | − | 0.991649i | ||||
\(452\) | −0.742577 | − | 2.04021i | −0.0349279 | − | 0.0959635i | ||||
\(453\) | −14.3682 | + | 10.0666i | −0.675075 | + | 0.472970i | ||||
\(454\) | 12.9219 | − | 2.27848i | 0.606454 | − | 0.106934i | ||||
\(455\) | −6.32507 | − | 20.8053i | −0.296524 | − | 0.975369i | ||||
\(456\) | −8.98485 | − | 8.97990i | −0.420754 | − | 0.420522i | ||||
\(457\) | −6.15453 | − | 5.16426i | −0.287897 | − | 0.241574i | 0.487389 | − | 0.873185i | \(-0.337949\pi\) |
−0.775285 | + | 0.631611i | \(0.782394\pi\) | |||||||
\(458\) | 3.88714 | − | 6.73272i | 0.181634 | − | 0.314599i | ||||
\(459\) | −25.2938 | + | 25.3357i | −1.18061 | + | 1.18257i | ||||
\(460\) | −4.89533 | + | 2.82632i | −0.228246 | + | 0.131778i | ||||
\(461\) | −4.79686 | + | 1.74591i | −0.223412 | + | 0.0813153i | −0.451301 | − | 0.892372i | \(-0.649040\pi\) |
0.227889 | + | 0.973687i | \(0.426818\pi\) | |||||||
\(462\) | −22.6858 | − | 3.21829i | −1.05544 | − | 0.149728i | ||||
\(463\) | −25.3683 | + | 21.2865i | −1.17897 | + | 0.989270i | −0.178980 | + | 0.983853i | \(0.557280\pi\) |
−0.999985 | + | 0.00541710i | \(0.998276\pi\) | |||||||
\(464\) | 0.123980 | + | 0.147753i | 0.00575560 | + | 0.00685926i | ||||
\(465\) | 13.2614 | + | 18.9281i | 0.614981 | + | 0.877768i | ||||
\(466\) | 4.16565 | − | 1.51617i | 0.192970 | − | 0.0702353i | ||||
\(467\) | 7.56317 | 0.349982 | 0.174991 | − | 0.984570i | \(-0.444010\pi\) | ||||
0.174991 | + | 0.984570i | \(0.444010\pi\) | |||||||
\(468\) | −7.80389 | − | 6.54091i | −0.360735 | − | 0.302354i | ||||
\(469\) | 22.3041 | − | 16.7524i | 1.02991 | − | 0.773554i | ||||
\(470\) | 18.5237 | + | 3.26623i | 0.854435 | + | 0.150660i | ||||
\(471\) | −22.1262 | − | 15.4838i | −1.01952 | − | 0.713458i | ||||
\(472\) | 7.86467 | + | 9.37275i | 0.362001 | + | 0.431416i | ||||
\(473\) | −31.4006 | − | 37.4217i | −1.44380 | − | 1.72065i | ||||
\(474\) | −0.609411 | + | 6.98779i | −0.0279912 | + | 0.320960i | ||||
\(475\) | 6.23827 | + | 1.09997i | 0.286231 | + | 0.0504703i | ||||
\(476\) | −2.19307 | − | 18.0963i | −0.100519 | − | 0.829442i | ||||
\(477\) | 3.92931 | + | 6.79710i | 0.179911 | + | 0.311218i | ||||
\(478\) | −0.0687846 | −0.00314613 | ||||||||
\(479\) | −21.4742 | + | 7.81596i | −0.981180 | + | 0.357120i | −0.782299 | − | 0.622903i | \(-0.785953\pi\) |
−0.198881 | + | 0.980024i | \(0.563731\pi\) | |||||||
\(480\) | 4.17812 | − | 0.366699i | 0.190704 | − | 0.0167374i | ||||
\(481\) | 10.1741 | + | 12.1251i | 0.463901 | + | 0.552856i | ||||
\(482\) | −9.36878 | + | 7.86134i | −0.426736 | + | 0.358074i | ||||
\(483\) | −8.42104 | − | 6.59684i | −0.383171 | − | 0.300167i | ||||
\(484\) | −13.1559 | + | 4.78836i | −0.597996 | + | 0.217653i | ||||
\(485\) | 11.5125 | − | 6.64673i | 0.522755 | − | 0.301812i | ||||
\(486\) | 6.56849 | − | 14.1370i | 0.297953 | − | 0.641268i | ||||
\(487\) | 10.6212 | − | 18.3965i | 0.481293 | − | 0.833624i | −0.518477 | − | 0.855092i | \(-0.673501\pi\) |
0.999770 | + | 0.0214680i | \(0.00683399\pi\) | |||||||
\(488\) | 5.70471 | + | 4.78682i | 0.258240 | + | 0.216689i | ||||
\(489\) | −9.02931 | + | 2.42206i | −0.408319 | + | 0.109530i | ||||
\(490\) | −1.82482 | + | 16.8521i | −0.0824370 | + | 0.761298i | ||||
\(491\) | −1.95216 | + | 0.344218i | −0.0880997 | + | 0.0155344i | −0.217524 | − | 0.976055i | \(-0.569798\pi\) |
0.129425 | + | 0.991589i | \(0.458687\pi\) | |||||||
\(492\) | −13.2250 | − | 6.16249i | −0.596230 | − | 0.277826i | ||||
\(493\) | 0.454507 | + | 1.24875i | 0.0204700 | + | 0.0562408i | ||||
\(494\) | 21.5581 | − | 12.4466i | 0.969946 | − | 0.559999i | ||||
\(495\) | 18.1441 | − | 31.4665i | 0.815515 | − | 1.41431i | ||||
\(496\) | −4.77210 | + | 2.75517i | −0.214274 | + | 0.123711i | ||||
\(497\) | 4.37680 | − | 2.22143i | 0.196326 | − | 0.0996447i | ||||
\(498\) | 7.01507 | + | 4.90912i | 0.314353 | + | 0.219983i | ||||
\(499\) | −0.746568 | − | 4.23400i | −0.0334210 | − | 0.189540i | 0.963527 | − | 0.267612i | \(-0.0862346\pi\) |
−0.996948 | + | 0.0780724i | \(0.975123\pi\) | |||||||
\(500\) | 7.67276 | − | 6.43821i | 0.343136 | − | 0.287925i | ||||
\(501\) | 17.3094 | + | 1.50957i | 0.773327 | + | 0.0674425i | ||||
\(502\) | 2.14277 | + | 5.88722i | 0.0956366 | + | 0.262759i | ||||
\(503\) | −19.4696 | − | 33.7223i | −0.868106 | − | 1.50360i | −0.863930 | − | 0.503613i | \(-0.832004\pi\) |
−0.00417666 | − | 0.999991i | \(-0.501329\pi\) | |||||||
\(504\) | 3.59622 | + | 7.07582i | 0.160188 | + | 0.315182i | ||||
\(505\) | 4.63862 | − | 8.03433i | 0.206416 | − | 0.357523i | ||||
\(506\) | −11.4944 | − | 2.02678i | −0.510991 | − | 0.0901014i | ||||
\(507\) | −2.09879 | + | 1.47045i | −0.0932103 | + | 0.0653049i | ||||
\(508\) | 13.7992 | + | 5.02248i | 0.612239 | + | 0.222837i | ||||
\(509\) | −26.4855 | − | 9.63994i | −1.17395 | − | 0.427283i | −0.319889 | − | 0.947455i | \(-0.603646\pi\) |
−0.854061 | + | 0.520172i | \(0.825868\pi\) | |||||||
\(510\) | 27.9145 | + | 7.47141i | 1.23607 | + | 0.330840i | ||||
\(511\) | −14.6599 | + | 7.44059i | −0.648516 | + | 0.329152i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 26.9694 | + | 26.9248i | 1.19073 | + | 1.18876i | ||||
\(514\) | −4.63917 | − | 2.67843i | −0.204625 | − | 0.118140i | ||||
\(515\) | −35.7383 | − | 6.30162i | −1.57482 | − | 0.277682i | ||||
\(516\) | −4.37530 | + | 16.3469i | −0.192612 | + | 0.719631i | ||||
\(517\) | 24.9649 | + | 29.7520i | 1.09795 | + | 1.30849i | ||||
\(518\) | −3.58872 | − | 11.8045i | −0.157679 | − | 0.518662i | ||||
\(519\) | 2.22520 | + | 25.3537i | 0.0976755 | + | 1.11290i | ||||
\(520\) | −1.42722 | + | 8.09417i | −0.0625878 | + | 0.354953i | ||||
\(521\) | 19.7992 | + | 34.2932i | 0.867418 | + | 1.50241i | 0.864626 | + | 0.502416i | \(0.167555\pi\) |
0.00279144 | + | 0.999996i | \(0.499111\pi\) | |||||||
\(522\) | −0.372183 | − | 0.443054i | −0.0162900 | − | 0.0193919i | ||||
\(523\) | 3.31222 | + | 1.91231i | 0.144833 | + | 0.0836196i | 0.570666 | − | 0.821183i | \(-0.306685\pi\) |
−0.425832 | + | 0.904802i | \(0.640019\pi\) | |||||||
\(524\) | 0.221133 | − | 1.25411i | 0.00966026 | − | 0.0547860i | ||||
\(525\) | −3.49230 | − | 1.86270i | −0.152416 | − | 0.0812950i | ||||
\(526\) | −25.6556 | − | 9.33788i | −1.11864 | − | 0.407151i | ||||
\(527\) | −37.3884 | + | 6.59258i | −1.62866 | + | 0.287178i | ||||
\(528\) | 7.09546 | + | 4.96538i | 0.308790 | + | 0.216091i | ||||
\(529\) | 13.4447 | + | 11.2815i | 0.584553 | + | 0.490498i | ||||
\(530\) | 3.16859 | − | 5.48817i | 0.137635 | − | 0.238391i | ||||
\(531\) | −23.6095 | − | 28.1052i | −1.02457 | − | 1.21966i | ||||
\(532\) | −19.2632 | + | 2.33449i | −0.835166 | + | 0.101213i | ||||
\(533\) | 18.3784 | − | 21.9025i | 0.796055 | − | 0.948701i | ||||
\(534\) | −7.77476 | − | 11.0970i | −0.336447 | − | 0.480214i | ||||
\(535\) | −11.7353 | + | 32.2425i | −0.507362 | + | 1.39397i | ||||
\(536\) | −10.3830 | + | 1.83081i | −0.448478 | + | 0.0790789i | ||||
\(537\) | −38.4158 | − | 10.2821i | −1.65776 | − | 0.443707i | ||||
\(538\) | −3.36873 | − | 9.25551i | −0.145236 | − | 0.399034i | ||||
\(539\) | −25.2533 | + | 24.2339i | −1.08774 | + | 1.04383i | ||||
\(540\) | −12.5337 | + | 1.10701i | −0.539366 | + | 0.0476380i | ||||
\(541\) | 3.72015 | + | 6.44349i | 0.159942 | + | 0.277027i | 0.934847 | − | 0.355050i | \(-0.115536\pi\) |
−0.774906 | + | 0.632077i | \(0.782203\pi\) | |||||||
\(542\) | −3.31758 | + | 18.8149i | −0.142502 | + | 0.808171i | ||||
\(543\) | 2.05841 | − | 2.05954i | 0.0883346 | − | 0.0883833i | ||||
\(544\) | −2.35645 | + | 6.47429i | −0.101032 | + | 0.277583i | ||||
\(545\) | 1.49251 | + | 8.46447i | 0.0639323 | + | 0.362578i | ||||
\(546\) | −15.2184 | + | 3.21415i | −0.651286 | + | 0.137553i | ||||
\(547\) | −0.528178 | − | 0.443194i | −0.0225832 | − | 0.0189496i | 0.631426 | − | 0.775436i | \(-0.282470\pi\) |
−0.654009 | + | 0.756486i | \(0.726914\pi\) | |||||||
\(548\) | 8.26179i | 0.352926i | ||||||||
\(549\) | −17.1221 | − | 14.3510i | −0.730752 | − | 0.612487i | ||||
\(550\) | −4.31856 | −0.184144 | ||||||||
\(551\) | 1.32927 | − | 0.483815i | 0.0566289 | − | 0.0206112i | ||||
\(552\) | 1.70974 | + | 3.66391i | 0.0727714 | + | 0.155947i | ||||
\(553\) | 7.82462 | + | 7.31961i | 0.332737 | + | 0.311261i | ||||
\(554\) | 2.34968 | − | 6.45570i | 0.0998285 | − | 0.274276i | ||||
\(555\) | 19.4848 | + | 1.69929i | 0.827086 | + | 0.0721309i | ||||
\(556\) | −1.33413 | + | 1.58995i | −0.0565797 | + | 0.0674291i | ||||
\(557\) | − | 6.32554i | − | 0.268022i | −0.990980 | − | 0.134011i | \(-0.957214\pi\) | ||
0.990980 | − | 0.134011i | \(-0.0427857\pi\) | |||||||
\(558\) | 14.3117 | − | 8.27341i | 0.605864 | − | 0.350242i | ||||
\(559\) | −28.7186 | − | 16.5807i | −1.21467 | − | 0.701289i | ||||
\(560\) | 3.49779 | − | 5.36763i | 0.147809 | − | 0.226824i | ||||
\(561\) | 34.2374 | + | 48.8675i | 1.44551 | + | 2.06319i | ||||
\(562\) | 12.6048 | − | 10.5767i | 0.531702 | − | 0.446151i | ||||
\(563\) | −0.615555 | − | 3.49098i | −0.0259425 | − | 0.147127i | 0.969085 | − | 0.246727i | \(-0.0793550\pi\) |
−0.995028 | + | 0.0995993i | \(0.968244\pi\) | |||||||
\(564\) | 3.47857 | − | 12.9965i | 0.146474 | − | 0.547252i | ||||
\(565\) | 3.37943 | − | 4.02745i | 0.142174 | − | 0.169436i | ||||
\(566\) | 4.42762 | 0.186107 | ||||||||
\(567\) | −10.8003 | − | 21.2215i | −0.453572 | − | 0.891220i | ||||
\(568\) | −1.85515 | −0.0778404 | ||||||||
\(569\) | −13.9480 | + | 16.6225i | −0.584729 | + | 0.696853i | −0.974584 | − | 0.224024i | \(-0.928081\pi\) |
0.389855 | + | 0.920876i | \(0.372525\pi\) | |||||||
\(570\) | 7.95319 | − | 29.7145i | 0.333123 | − | 1.24460i | ||||
\(571\) | −5.61673 | − | 31.8541i | −0.235053 | − | 1.33305i | −0.842502 | − | 0.538693i | \(-0.818918\pi\) |
0.607449 | − | 0.794359i | \(-0.292193\pi\) | |||||||
\(572\) | −13.0005 | + | 10.9087i | −0.543579 | + | 0.456117i | ||||
\(573\) | −0.199648 | − | 0.284960i | −0.00834043 | − | 0.0119044i | ||||
\(574\) | −19.8738 | + | 10.0869i | −0.829517 | + | 0.421019i | ||||
\(575\) | −1.74607 | − | 1.00810i | −0.0728163 | − | 0.0420405i | ||||
\(576\) | −0.00165416 | − | 3.00000i | −6.89233e−5 | − | 0.125000i | ||||
\(577\) | − | 22.6710i | − | 0.943805i | −0.881651 | − | 0.471903i | \(-0.843567\pi\) | ||
0.881651 | − | 0.471903i | \(-0.156433\pi\) | |||||||
\(578\) | −19.5853 | + | 23.3409i | −0.814641 | + | 0.970852i | ||||
\(579\) | −9.27421 | − | 0.808812i | −0.385423 | − | 0.0336131i | ||||
\(580\) | −0.159742 | + | 0.438889i | −0.00663294 | + | 0.0182239i | ||||
\(581\) | 12.5134 | − | 3.80424i | 0.519145 | − | 0.157826i | ||||
\(582\) | −4.02085 | − | 8.61653i | −0.166669 | − | 0.357167i | ||||
\(583\) | 12.2961 | − | 4.47542i | 0.509253 | − | 0.185353i | ||||
\(584\) | 6.21376 | 0.257127 | ||||||||
\(585\) | 4.26827 | − | 24.2849i | 0.176471 | − | 1.00406i | ||||
\(586\) | 14.3266i | 0.591826i | ||||||||
\(587\) | 7.53131 | + | 6.31952i | 0.310850 | + | 0.260834i | 0.784843 | − | 0.619694i | \(-0.212743\pi\) |
−0.473993 | + | 0.880529i | \(0.657188\pi\) | |||||||
\(588\) | 11.8949 | + | 2.34757i | 0.490538 | + | 0.0968123i | ||||
\(589\) | 7.01770 | + | 39.7994i | 0.289159 | + | 1.63990i | ||||
\(590\) | −10.1333 | + | 27.8410i | −0.417181 | + | 1.14620i | ||||
\(591\) | −7.16198 | + | 7.16593i | −0.294604 | + | 0.294767i | ||||
\(592\) | −0.809778 | + | 4.59248i | −0.0332817 | + | 0.188750i | ||||
\(593\) | 4.00013 | + | 6.92843i | 0.164266 | + | 0.284517i | 0.936394 | − | 0.350950i | \(-0.114141\pi\) |
−0.772129 | + | 0.635466i | \(0.780808\pi\) | |||||||
\(594\) | −21.2946 | − | 14.8844i | −0.873728 | − | 0.610715i | ||||
\(595\) | 35.2943 | − | 26.5092i | 1.44692 | − | 1.08677i | ||||
\(596\) | 2.80770 | + | 7.71408i | 0.115008 | + | 0.315981i | ||||
\(597\) | −15.0089 | − | 4.01718i | −0.614273 | − | 0.164412i | ||||
\(598\) | −7.80281 | + | 1.37585i | −0.319081 | + | 0.0562625i | ||||
\(599\) | −10.6127 | + | 29.1583i | −0.433625 | + | 1.19137i | 0.509947 | + | 0.860206i | \(0.329665\pi\) |
−0.943572 | + | 0.331168i | \(0.892557\pi\) | |||||||
\(600\) | 0.858400 | + | 1.22520i | 0.0350440 | + | 0.0500187i | ||||
\(601\) | 0.959416 | − | 1.14339i | 0.0391354 | − | 0.0466398i | −0.746122 | − | 0.665810i | \(-0.768086\pi\) |
0.785257 | + | 0.619170i | \(0.212531\pi\) | |||||||
\(602\) | 15.5240 | + | 20.6685i | 0.632709 | + | 0.842386i | ||||
\(603\) | 31.1460 | − | 5.50960i | 1.26837 | − | 0.224368i | ||||
\(604\) | 5.06442 | − | 8.77184i | 0.206068 | − | 0.356921i | ||||
\(605\) | −25.9702 | − | 21.7916i | −1.05584 | − | 0.885953i | ||||
\(606\) | −5.43678 | − | 3.80464i | −0.220854 | − | 0.154553i | ||||
\(607\) | 21.8941 | − | 3.86051i | 0.888652 | − | 0.156693i | 0.289357 | − | 0.957221i | \(-0.406559\pi\) |
0.599295 | + | 0.800528i | \(0.295447\pi\) | |||||||
\(608\) | 6.89178 | + | 2.50840i | 0.279499 | + | 0.101729i | ||||
\(609\) | −0.883378 | + | 0.0297014i | −0.0357963 | + | 0.00120356i | ||||
\(610\) | −3.13138 | + | 17.7590i | −0.126786 | + | 0.719039i | ||||
\(611\) | 22.8326 | + | 13.1824i | 0.923709 | + | 0.533304i | ||||
\(612\) | 7.05864 | − | 19.4268i | 0.285329 | − | 0.785281i | ||||
\(613\) | −6.67374 | − | 11.5593i | −0.269550 | − | 0.466874i | 0.699196 | − | 0.714930i | \(-0.253542\pi\) |
−0.968746 | + | 0.248056i | \(0.920208\pi\) | |||||||
\(614\) | −5.27342 | + | 29.9070i | −0.212818 | + | 1.20695i | ||||
\(615\) | −3.08897 | − | 35.1953i | −0.124559 | − | 1.41921i | ||||
\(616\) | 12.6568 | − | 3.84783i | 0.509959 | − | 0.155034i | ||||
\(617\) | −13.5612 | − | 16.1616i | −0.545952 | − | 0.650640i | 0.420559 | − | 0.907265i | \(-0.361834\pi\) |
−0.966511 | + | 0.256625i | \(0.917389\pi\) | |||||||
\(618\) | −6.71128 | + | 25.0745i | −0.269967 | + | 1.00864i | ||||
\(619\) | 4.76309 | + | 0.839862i | 0.191445 | + | 0.0337569i | 0.268548 | − | 0.963266i | \(-0.413456\pi\) |
−0.0771035 | + | 0.997023i | \(0.524567\pi\) | |||||||
\(620\) | −11.5557 | − | 6.67168i | −0.464088 | − | 0.267941i | ||||
\(621\) | −5.13528 | − | 10.9889i | −0.206072 | − | 0.440970i | ||||
\(622\) | 18.1059i | 0.725982i | ||||||||
\(623\) | −20.6672 | − | 1.11571i | −0.828013 | − | 0.0447000i | ||||
\(624\) | 5.67899 | + | 1.52000i | 0.227342 | + | 0.0608489i | ||||
\(625\) | 26.8494 | + | 9.77239i | 1.07398 | + | 0.390895i | ||||
\(626\) | −25.5491 | − | 9.29912i | −1.02115 | − | 0.371668i | ||||
\(627\) | 52.0186 | − | 36.4452i | 2.07742 | − | 1.45548i | ||||
\(628\) | 15.3550 | + | 2.70750i | 0.612730 | + | 0.108041i | ||||
\(629\) | −16.0647 | + | 27.8248i | −0.640541 | + | 1.10945i | ||||
\(630\) | −10.4845 | + | 16.1087i | −0.417712 | + | 0.641785i | ||||
\(631\) | −19.0055 | − | 32.9186i | −0.756599 | − | 1.31047i | −0.944575 | − | 0.328294i | \(-0.893526\pi\) |
0.187977 | − | 0.982174i | \(-0.439807\pi\) | |||||||
\(632\) | −1.38508 | − | 3.80549i | −0.0550957 | − | 0.151374i | ||||
\(633\) | 43.5534 | + | 3.79833i | 1.73109 | + | 0.150970i | ||||
\(634\) | −0.419440 | + | 0.351952i | −0.0166581 | + | 0.0139778i | ||||
\(635\) | 6.17480 | + | 35.0191i | 0.245040 | + | 1.38969i | ||||
\(636\) | −3.71381 | − | 2.59891i | −0.147262 | − | 0.103054i | ||||
\(637\) | −10.4825 | + | 21.3218i | −0.415331 | + | 0.844801i | ||||
\(638\) | −0.835189 | + | 0.482197i | −0.0330655 | + | 0.0190904i | ||||
\(639\) | 5.56545 | − | 0.00306872i | 0.220166 | − | 0.000121397i | ||||
\(640\) | −2.09709 | + | 1.21075i | −0.0828947 | + | 0.0478593i | ||||
\(641\) | 11.8230 | + | 32.4833i | 0.466979 | + | 1.28301i | 0.920141 | + | 0.391586i | \(0.128074\pi\) |
−0.453162 | + | 0.891428i | \(0.649704\pi\) | |||||||
\(642\) | 22.2459 | + | 10.3659i | 0.877974 | + | 0.409111i | ||||
\(643\) | −31.4889 | + | 5.55235i | −1.24180 | + | 0.218963i | −0.755688 | − | 0.654932i | \(-0.772697\pi\) |
−0.486114 | + | 0.873895i | \(0.661586\pi\) | |||||||
\(644\) | 6.01561 | + | 1.39878i | 0.237048 | + | 0.0551196i | ||||
\(645\) | −39.5782 | + | 10.6167i | −1.55839 | + | 0.418030i | ||||
\(646\) | 38.7085 | + | 32.4803i | 1.52296 | + | 1.27792i | ||||
\(647\) | −21.5308 | + | 37.2925i | −0.846464 | + | 1.46612i | 0.0378791 | + | 0.999282i | \(0.487940\pi\) |
−0.884343 | + | 0.466837i | \(0.845394\pi\) | |||||||
\(648\) | 0.00992496 | + | 8.99999i | 0.000389889 | + | 0.353553i | ||||
\(649\) | −52.9805 | + | 30.5883i | −2.07966 | + | 1.20070i | ||||
\(650\) | −2.75478 | + | 1.00266i | −0.108052 | + | 0.0393275i | ||||
\(651\) | 3.54676 | − | 25.0013i | 0.139009 | − | 0.979877i | ||||
\(652\) | 4.13462 | − | 3.46936i | 0.161924 | − | 0.135871i | ||||
\(653\) | 3.37859 | + | 4.02645i | 0.132215 | + | 0.157567i | 0.828090 | − | 0.560596i | \(-0.189428\pi\) |
−0.695875 | + | 0.718163i | \(0.744983\pi\) | |||||||
\(654\) | 6.12430 | − | 0.537508i | 0.239479 | − | 0.0210182i | ||||
\(655\) | 2.89772 | − | 1.05468i | 0.113223 | − | 0.0412099i | ||||
\(656\) | 8.42372 | 0.328891 | ||||||||
\(657\) | −18.6413 | + | 0.0102785i | −0.727265 | + | 0.000401004i | ||||
\(658\) | −12.3423 | − | 16.4324i | −0.481151 | − | 0.640603i | ||||
\(659\) | 24.3847 | + | 4.29967i | 0.949892 | + | 0.167492i | 0.627065 | − | 0.778967i | \(-0.284256\pi\) |
0.322826 | + | 0.946458i | \(0.395367\pi\) | |||||||
\(660\) | −1.82198 | + | 20.8917i | −0.0709205 | + | 0.813208i | ||||
\(661\) | −11.7380 | − | 13.9888i | −0.456554 | − | 0.544100i | 0.487833 | − | 0.872937i | \(-0.337788\pi\) |
−0.944387 | + | 0.328837i | \(0.893343\pi\) | |||||||
\(662\) | −8.45406 | − | 10.0752i | −0.328576 | − | 0.391582i | ||||
\(663\) | 33.1857 | + | 23.2232i | 1.28882 | + | 0.901915i | ||||
\(664\) | −4.86827 | − | 0.858407i | −0.188925 | − | 0.0333126i | ||||
\(665\) | −28.2186 | − | 37.5702i | −1.09427 | − | 1.45691i | ||||
\(666\) | 2.42174 | − | 13.7788i | 0.0938404 | − | 0.533916i | ||||
\(667\) | −0.450243 | −0.0174335 | ||||||||
\(668\) | −9.42654 | + | 3.43098i | −0.364724 | + | 0.132749i | ||||
\(669\) | −9.90870 | − | 14.1428i | −0.383092 | − | 0.546792i | ||||
\(670\) | −16.4107 | − | 19.5575i | −0.633999 | − | 0.755571i | ||||
\(671\) | −28.5237 | + | 23.9342i | −1.10114 | + | 0.923970i | ||||
\(672\) | −3.60746 | − | 2.82600i | −0.139161 | − | 0.109015i | ||||
\(673\) | 40.1228 | − | 14.6035i | 1.54662 | − | 0.562924i | 0.578998 | − | 0.815329i | \(-0.303444\pi\) |
0.967622 | + | 0.252405i | \(0.0812216\pi\) | |||||||
\(674\) | 5.94429 | − | 3.43194i | 0.228965 | − | 0.132193i | ||||
\(675\) | −2.57723 | − | 3.67419i | −0.0991975 | − | 0.141420i | ||||
\(676\) | 0.739770 | − | 1.28132i | 0.0284527 | − | 0.0492815i | ||||
\(677\) | 28.5915 | + | 23.9911i | 1.09886 | + | 0.922053i | 0.997348 | − | 0.0727810i | \(-0.0231874\pi\) |
0.101512 | + | 0.994834i | \(0.467632\pi\) | |||||||
\(678\) | −2.65984 | − | 2.65837i | −0.102150 | − | 0.102094i | ||||
\(679\) | −14.1471 | − | 3.28955i | −0.542915 | − | 0.126241i | ||||
\(680\) | −16.4302 | + | 2.89710i | −0.630071 | + | 0.111099i | ||||
\(681\) | 18.6130 | − | 13.0406i | 0.713250 | − | 0.499716i | ||||
\(682\) | −9.42329 | − | 25.8903i | −0.360836 | − | 0.991390i | ||||
\(683\) | 9.60985 | − | 5.54825i | 0.367711 | − | 0.212298i | −0.304747 | − | 0.952433i | \(-0.598572\pi\) |
0.672458 | + | 0.740135i | \(0.265239\pi\) | |||||||
\(684\) | −20.6795 | − | 7.51381i | −0.790700 | − | 0.287298i | ||||
\(685\) | −17.3257 | + | 10.0030i | −0.661981 | + | 0.382195i | ||||
\(686\) | 14.0346 | − | 12.0843i | 0.535843 | − | 0.461381i | ||||
\(687\) | 1.16989 | − | 13.4145i | 0.0446342 | − | 0.511796i | ||||
\(688\) | −1.69656 | − | 9.62165i | −0.0646806 | − | 0.366822i | ||||
\(689\) | 6.80455 | − | 5.70969i | 0.259233 | − | 0.217522i | ||||
\(690\) | −5.61348 | + | 8.02158i | −0.213701 | + | 0.305376i | ||||
\(691\) | −5.17181 | − | 14.2094i | −0.196745 | − | 0.540553i | 0.801612 | − | 0.597844i | \(-0.203976\pi\) |
−0.998357 | + | 0.0572914i | \(0.981754\pi\) | |||||||
\(692\) | −7.34711 | − | 12.7256i | −0.279295 | − | 0.483753i | ||||
\(693\) | −37.9642 | + | 11.5644i | −1.44214 | + | 0.439297i | ||||
\(694\) | −3.39520 | + | 5.88066i | −0.128880 | + | 0.223227i | ||||
\(695\) | −4.94958 | − | 0.872744i | −0.187748 | − | 0.0331051i | ||||
\(696\) | 0.302813 | + | 0.141102i | 0.0114781 | + | 0.00534847i | ||||
\(697\) | 54.5377 | + | 19.8501i | 2.06576 | + | 0.751876i | ||||
\(698\) | −29.6233 | − | 10.7820i | −1.12126 | − | 0.408105i | ||||
\(699\) | 5.42778 | − | 5.43077i | 0.205298 | − | 0.205411i | ||||
\(700\) | 2.28183 | + | 0.123184i | 0.0862452 | + | 0.00465591i | ||||
\(701\) | − | 32.4598i | − | 1.22599i | −0.790087 | − | 0.612994i | \(-0.789965\pi\) | ||
0.790087 | − | 0.612994i | \(-0.210035\pi\) | |||||||
\(702\) | −17.0395 | − | 4.55062i | −0.643114 | − | 0.171752i | ||||
\(703\) | 29.6191 | + | 17.1006i | 1.11711 | + | 0.644961i | ||||
\(704\) | −4.92406 | − | 0.868245i | −0.185583 | − | 0.0327232i | ||||
\(705\) | 31.4665 | − | 8.44073i | 1.18510 | − | 0.317896i | ||||
\(706\) | 3.17252 | + | 3.78086i | 0.119399 | + | 0.142294i | ||||
\(707\) | −9.69809 | + | 2.94834i | −0.364734 | + | 0.110884i | ||||
\(708\) | 19.2090 | + | 8.95087i | 0.721919 | + | 0.336394i | ||||
\(709\) | −5.13784 | + | 29.1382i | −0.192956 | + | 1.09431i | 0.722344 | + | 0.691534i | \(0.243065\pi\) |
−0.915300 | + | 0.402773i | \(0.868046\pi\) | |||||||
\(710\) | −2.24613 | − | 3.89042i | −0.0842959 | − | 0.146005i | ||||
\(711\) | 4.16155 | + | 11.4142i | 0.156070 | + | 0.428065i | ||||
\(712\) | 6.77478 | + | 3.91142i | 0.253895 | + | 0.146587i | ||||
\(713\) | 2.23364 | − | 12.6676i | 0.0836506 | − | 0.474406i | ||||
\(714\) | −16.6964 | − | 26.7971i | −0.624848 | − | 1.00286i | ||||
\(715\) | −38.6170 | − | 14.0554i | −1.44419 | − | 0.525644i | ||||
\(716\) | 22.6113 | − | 3.98698i | 0.845023 | − | 0.149000i | ||||
\(717\) | −0.107962 | + | 0.0503798i | −0.00403192 | + | 0.00188147i | ||||
\(718\) | −1.81473 | − | 1.52274i | −0.0677251 | − | 0.0568281i | ||||
\(719\) | 18.0895 | − | 31.3319i | 0.674624 | − | 1.16848i | −0.301954 | − | 0.953322i | \(-0.597639\pi\) |
0.976579 | − | 0.215161i | \(-0.0690276\pi\) | |||||||
\(720\) | 6.28926 | − | 3.63573i | 0.234387 | − | 0.135496i | ||||
\(721\) | 23.8122 | + | 31.7035i | 0.886814 | + | 1.18070i | ||||
\(722\) | 22.3618 | − | 26.6497i | 0.832219 | − | 0.991800i | ||||
\(723\) | −8.94707 | + | 19.2009i | −0.332745 | + | 0.714088i | ||||
\(724\) | −0.574985 | + | 1.57976i | −0.0213692 | + | 0.0587113i | ||||
\(725\) | −0.164059 | + | 0.0289281i | −0.00609301 | + | 0.00107436i | ||||
\(726\) | −17.1420 | + | 17.1514i | −0.636198 | + | 0.636549i | ||||
\(727\) | 4.64416 | + | 12.7597i | 0.172242 | + | 0.473232i | 0.995536 | − | 0.0943840i | \(-0.0300881\pi\) |
−0.823294 | + | 0.567616i | \(0.807866\pi\) | |||||||
\(728\) | 7.18036 | − | 5.39311i | 0.266122 | − | 0.199882i | ||||
\(729\) | −0.0446623 | − | 27.0000i | −0.00165416 | − | 0.999999i | ||||
\(730\) | 7.52333 | + | 13.0308i | 0.278451 | + | 0.482291i | ||||
\(731\) | 11.6889 | − | 66.2912i | 0.432331 | − | 2.45187i | ||||
\(732\) | 12.4600 | + | 3.33495i | 0.460533 | + | 0.123263i | ||||
\(733\) | −2.39661 | + | 6.58463i | −0.0885208 | + | 0.243209i | −0.976051 | − | 0.217540i | \(-0.930197\pi\) |
0.887531 | + | 0.460749i | \(0.152419\pi\) | |||||||
\(734\) | −2.12548 | − | 12.0542i | −0.0784530 | − | 0.444929i | ||||
\(735\) | 9.47875 | + | 27.7870i | 0.349629 | + | 1.02494i | ||||
\(736\) | −1.78821 | − | 1.50049i | −0.0659143 | − | 0.0553087i | ||||
\(737\) | − | 52.7162i | − | 1.94183i | ||||||
\(738\) | −25.2712 | + | 0.0139342i | −0.930245 | + | 0.000512924i | ||||
\(739\) | −29.5115 | −1.08560 | −0.542799 | − | 0.839863i | \(-0.682635\pi\) | ||||
−0.542799 | + | 0.839863i | \(0.682635\pi\) | |||||||
\(740\) | −10.6113 | + | 3.86219i | −0.390078 | + | 0.141977i | ||||
\(741\) | 24.7207 | − | 35.3256i | 0.908139 | − | 1.29772i | ||||
\(742\) | −6.62467 | + | 2.01398i | −0.243199 | + | 0.0739355i | ||||
\(743\) | −8.86180 | + | 24.3476i | −0.325108 | + | 0.893226i | 0.664222 | + | 0.747535i | \(0.268763\pi\) |
−0.989330 | + | 0.145691i | \(0.953459\pi\) | |||||||
\(744\) | −5.47217 | + | 7.81966i | −0.200620 | + | 0.286683i | ||||
\(745\) | −12.7777 | + | 15.2278i | −0.468138 | + | 0.557905i | ||||
\(746\) | 18.5471i | 0.679056i | ||||||||
\(747\) | 14.6062 | + | 2.56717i | 0.534414 | + | 0.0939277i | ||||
\(748\) | −29.8338 | − | 17.2246i | −1.09083 | − | 0.629793i | ||||
\(749\) | 33.4298 | − | 16.9672i | 1.22150 | − | 0.619968i | ||||
\(750\) | 7.32739 | − | 15.7250i | 0.267559 | − | 0.574194i | ||||
\(751\) | 40.8561 | − | 34.2824i | 1.49086 | − | 1.25098i | 0.597319 | − | 0.802004i | \(-0.296233\pi\) |
0.893543 | − | 0.448977i | \(-0.148212\pi\) | |||||||
\(752\) | 1.34884 | + | 7.64966i | 0.0491872 | + | 0.278954i | ||||
\(753\) | 7.67520 | + | 7.67096i | 0.279700 | + | 0.279545i | ||||
\(754\) | −0.420809 | + | 0.501500i | −0.0153250 | + | 0.0182636i | ||||
\(755\) | 24.5271 | 0.892632 | ||||||||
\(756\) | 10.8270 | + | 8.47202i | 0.393776 | + | 0.308124i | ||||
\(757\) | 25.1071 | 0.912532 | 0.456266 | − | 0.889843i | \(-0.349187\pi\) | ||||
0.456266 | + | 0.889843i | \(0.349187\pi\) | |||||||
\(758\) | 9.94953 | − | 11.8574i | 0.361383 | − | 0.430680i | ||||
\(759\) | −19.5258 | + | 5.23769i | −0.708742 | + | 0.190116i | ||||
\(760\) | 3.08391 | + | 17.4897i | 0.111865 | + | 0.634419i | ||||
\(761\) | 15.5918 | − | 13.0831i | 0.565202 | − | 0.474261i | −0.314848 | − | 0.949142i | \(-0.601954\pi\) |
0.880050 | + | 0.474882i | \(0.157509\pi\) | |||||||
\(762\) | 25.3373 | − | 2.22377i | 0.917875 | − | 0.0805587i | ||||
\(763\) | 5.12708 | − | 7.86789i | 0.185613 | − | 0.284837i | ||||
\(764\) | 0.173970 | + | 0.100441i | 0.00629400 | + | 0.00363384i | ||||
\(765\) | 49.2859 | − | 8.71847i | 1.78194 | − | 0.315217i | ||||
\(766\) | − | 33.4972i | − | 1.21030i | ||||||
\(767\) | −26.6941 | + | 31.8128i | −0.963869 | + | 1.14869i | ||||
\(768\) | 0.732429 | + | 1.56957i | 0.0264293 | + | 0.0566370i | ||||
\(769\) | 15.8222 | − | 43.4711i | 0.570563 | − | 1.56761i | −0.233056 | − | 0.972463i | \(-0.574873\pi\) |
0.803619 | − | 0.595145i | \(-0.202905\pi\) | |||||||
\(770\) | 23.3936 | + | 21.8837i | 0.843046 | + | 0.788635i | ||||
\(771\) | −9.24326 | − | 0.806113i | −0.332888 | − | 0.0290315i | ||||
\(772\) | 5.05065 | − | 1.83829i | 0.181777 | − | 0.0661614i | ||||
\(773\) | −12.5168 | −0.450196 | −0.225098 | − | 0.974336i | \(-0.572270\pi\) | ||||
−0.225098 | + | 0.974336i | \(0.572270\pi\) | |||||||
\(774\) | 5.10558 | + | 28.8621i | 0.183516 | + | 1.03743i | ||||
\(775\) | − | 4.75933i | − | 0.170960i | ||||||
\(776\) | 4.20539 | + | 3.52874i | 0.150965 | + | 0.126674i | ||||
\(777\) | −14.2787 | − | 15.8996i | −0.512247 | − | 0.570393i | ||||
\(778\) | 4.08946 | + | 23.1925i | 0.146614 | + | 0.831491i | ||||
\(779\) | 21.1301 | − | 58.0545i | 0.757064 | − | 2.08002i | ||||
\(780\) | 3.68829 | + | 13.7497i | 0.132062 | + | 0.492318i | ||||
\(781\) | 1.61073 | − | 9.13488i | 0.0576363 | − | 0.326872i | ||||
\(782\) | −8.04158 | − | 13.9284i | −0.287566 | − | 0.498079i | ||||
\(783\) | −0.908672 | − | 0.422806i | −0.0324733 | − | 0.0151099i | ||||
\(784\) | −6.79736 | + | 1.67209i | −0.242763 | + | 0.0597173i | ||||
\(785\) | 12.9132 | + | 35.4789i | 0.460894 | + | 1.26629i | ||||
\(786\) | −0.571462 | − | 2.13038i | −0.0203834 | − | 0.0759880i | ||||
\(787\) | 43.0811 | − | 7.59636i | 1.53568 | − | 0.270781i | 0.659104 | − | 0.752052i | \(-0.270936\pi\) |
0.876572 | + | 0.481271i | \(0.159825\pi\) | |||||||
\(788\) | 2.00059 | − | 5.49658i | 0.0712682 | − | 0.195808i | ||||
\(789\) | −47.1076 | + | 4.13447i | −1.67707 | + | 0.147191i | ||||
\(790\) | 6.30345 | − | 7.51215i | 0.224267 | − | 0.267270i | ||||
\(791\) | −5.70260 | + | 0.691091i | −0.202761 | + | 0.0245724i | ||||
\(792\) | 14.7736 | + | 2.59659i | 0.524958 | + | 0.0922658i | ||||
\(793\) | −12.6382 | + | 21.8900i | −0.448795 | + | 0.777336i | ||||
\(794\) | −1.97002 | − | 1.65304i | −0.0699133 | − | 0.0586643i | ||||
\(795\) | 0.953636 | − | 10.9348i | 0.0338220 | − | 0.387818i | ||||
\(796\) | 8.83412 | − | 1.55769i | 0.313117 | − | 0.0552110i | ||||
\(797\) | −42.0638 | − | 15.3100i | −1.48997 | − | 0.542307i | −0.536532 | − | 0.843880i | \(-0.680266\pi\) |
−0.953443 | + | 0.301573i | \(0.902488\pi\) | |||||||
\(798\) | −28.5251 | + | 17.7731i | −1.00978 | + | 0.629160i | ||||
\(799\) | −9.29324 | + | 52.7046i | −0.328771 | + | 1.86455i | ||||
\(800\) | −0.747993 | − | 0.431854i | −0.0264455 | − | 0.0152683i | ||||
\(801\) | −20.3308 | − | 11.7230i | −0.718353 | − | 0.414213i | ||||
\(802\) | −11.4692 | − | 19.8653i | −0.404992 | − | 0.701467i | ||||
\(803\) | −5.39506 | + | 30.5969i | −0.190388 | + | 1.07974i | ||||
\(804\) | −14.9559 | + | 10.4784i | −0.527455 | + | 0.369545i | ||||
\(805\) | 4.35006 | + | 14.3088i | 0.153320 | + | 0.504320i | ||||
\(806\) | −12.0221 | − | 14.3274i | −0.423461 | − | 0.504662i | ||||
\(807\) | −12.0665 | − | 12.0598i | −0.424760 | − | 0.424526i | ||||
\(808\) | 3.77298 | + | 0.665278i | 0.132733 | + | 0.0234044i | ||||
\(809\) | 5.43121 | + | 3.13571i | 0.190951 | + | 0.110246i | 0.592428 | − | 0.805624i | \(-0.298170\pi\) |
−0.401477 | + | 0.915869i | \(0.631503\pi\) | |||||||
\(810\) | −18.8618 | + | 10.9176i | −0.662735 | + | 0.383605i | ||||
\(811\) | 19.9066i | 0.699014i | 0.936934 | + | 0.349507i | \(0.113651\pi\) | ||||
−0.936934 | + | 0.349507i | \(0.886349\pi\) | |||||||
\(812\) | 0.455050 | − | 0.230959i | 0.0159691 | − | 0.00810508i | ||||
\(813\) | 8.57343 | + | 31.9612i | 0.300683 | + | 1.12093i | ||||
\(814\) | −21.9105 | − | 7.97479i | −0.767964 | − | 0.279516i | ||||
\(815\) | 12.2816 | + | 4.47013i | 0.430205 | + | 0.156582i | ||||
\(816\) | 1.04335 | + | 11.8878i | 0.0365245 | + | 0.416156i | ||||
\(817\) | −70.5659 | − | 12.4427i | −2.46879 | − | 0.435314i | ||||
\(818\) | −4.94671 | + | 8.56795i | −0.172958 | + | 0.299572i | ||||
\(819\) | −21.5322 | + | 16.1912i | −0.752395 | + | 0.565766i | ||||
\(820\) | 10.1991 | + | 17.6653i | 0.356167 | + | 0.616899i | ||||
\(821\) | 16.1481 | + | 44.3664i | 0.563571 | + | 1.54840i | 0.814362 | + | 0.580357i | \(0.197087\pi\) |
−0.250791 | + | 0.968041i | \(0.580691\pi\) | |||||||
\(822\) | 6.05117 | + | 12.9674i | 0.211059 | + | 0.452292i | ||||
\(823\) | 31.4232 | − | 26.3672i | 1.09534 | − | 0.919103i | 0.0982415 | − | 0.995163i | \(-0.468678\pi\) |
0.997103 | + | 0.0760592i | \(0.0242338\pi\) | |||||||
\(824\) | −2.60235 | − | 14.7587i | −0.0906572 | − | 0.514143i | ||||
\(825\) | −6.77828 | + | 3.16304i | −0.235989 | + | 0.110123i | ||||
\(826\) | 28.8662 | − | 14.6510i | 1.00439 | − | 0.509772i | ||||
\(827\) | 31.4445 | − | 18.1545i | 1.09343 | − | 0.631294i | 0.158945 | − | 0.987287i | \(-0.449191\pi\) |
0.934488 | + | 0.355993i | \(0.115857\pi\) | |||||||
\(828\) | 5.36711 | + | 4.49850i | 0.186520 | + | 0.156334i | ||||
\(829\) | 16.8935 | − | 9.75348i | 0.586736 | − | 0.338752i | −0.177070 | − | 0.984198i | \(-0.556662\pi\) |
0.763806 | + | 0.645446i | \(0.223328\pi\) | |||||||
\(830\) | −4.09412 | − | 11.2485i | −0.142109 | − | 0.390441i | ||||
\(831\) | −1.04035 | − | 11.8536i | −0.0360894 | − | 0.411198i | ||||
\(832\) | −3.34262 | + | 0.589393i | −0.115884 | + | 0.0204335i | ||||
\(833\) | −47.9483 | − | 5.19207i | −1.66131 | − | 0.179895i | ||||
\(834\) | −0.929480 | + | 3.47270i | −0.0321853 | + | 0.120250i | ||||
\(835\) | −18.6083 | − | 15.6142i | −0.643967 | − | 0.540352i | ||||
\(836\) | −18.3353 | + | 31.7576i | −0.634139 | + | 1.09836i | ||||
\(837\) | 16.4036 | − | 23.4680i | 0.566991 | − | 0.811174i | ||||
\(838\) | −5.33113 | + | 3.07793i | −0.184161 | + | 0.106325i | ||||
\(839\) | 34.8662 | − | 12.6902i | 1.20371 | − | 0.438116i | 0.339195 | − | 0.940716i | \(-0.389845\pi\) |
0.864519 | + | 0.502600i | \(0.167623\pi\) | |||||||
\(840\) | 1.55862 | − | 10.9867i | 0.0537774 | − | 0.379079i | ||||
\(841\) | 22.1868 | − | 18.6169i | 0.765062 | − | 0.641963i | ||||
\(842\) | 13.1473 | + | 15.6684i | 0.453087 | + | 0.539968i | ||||
\(843\) | 12.0374 | − | 25.8330i | 0.414592 | − | 0.889735i | ||||
\(844\) | −23.7188 | + | 8.63293i | −0.816434 | + | 0.297158i | ||||
\(845\) | 3.58272 | 0.123249 | ||||||||
\(846\) | −4.05918 | − | 22.9467i | −0.139557 | − | 0.788925i | ||||
\(847\) | 4.45636 | + | 36.7720i | 0.153122 | + | 1.26350i | ||||
\(848\) | 2.57728 | + | 0.454444i | 0.0885042 | + | 0.0156057i | ||||
\(849\) | 6.94945 | − | 3.24291i | 0.238505 | − | 0.111297i | ||||
\(850\) | −3.82508 | − | 4.55856i | −0.131199 | − | 0.156357i | ||||
\(851\) | −6.99726 | − | 8.33901i | −0.239863 | − | 0.285857i | ||||
\(852\) | −2.91179 | + | 1.35877i | −0.0997562 | + | 0.0465506i | ||||
\(853\) | 13.9159 | + | 2.45375i | 0.476472 | + | 0.0840149i | 0.406727 | − | 0.913550i | \(-0.366670\pi\) |
0.0697457 | + | 0.997565i | \(0.477781\pi\) | |||||||
\(854\) | 15.7540 | − | 11.8327i | 0.539091 | − | 0.404907i | ||||
\(855\) | −9.28067 | − | 52.4641i | −0.317392 | − | 1.79423i | ||||
\(856\) | −14.1696 | −0.484306 | ||||||||
\(857\) | 12.8209 | − | 4.66641i | 0.437952 | − | 0.159402i | −0.113628 | − | 0.993523i | \(-0.536247\pi\) |
0.551580 | + | 0.834122i | \(0.314025\pi\) | |||||||
\(858\) | −12.4153 | + | 26.6440i | −0.423853 | + | 0.909610i | ||||
\(859\) | 1.52611 | + | 1.81875i | 0.0520702 | + | 0.0620549i | 0.791451 | − | 0.611233i | \(-0.209326\pi\) |
−0.739381 | + | 0.673288i | \(0.764882\pi\) | |||||||
\(860\) | 18.1233 | − | 15.2073i | 0.618001 | − | 0.518564i | ||||
\(861\) | −23.8054 | + | 30.3882i | −0.811286 | + | 1.03563i | ||||
\(862\) | 5.97644 | − | 2.17525i | 0.203559 | − | 0.0740892i | ||||
\(863\) | 9.85889 | − | 5.69203i | 0.335601 | − | 0.193759i | −0.322724 | − | 0.946493i | \(-0.604599\pi\) |
0.658325 | + | 0.752734i | \(0.271265\pi\) | |||||||
\(864\) | −2.19988 | − | 4.70750i | −0.0748415 | − | 0.160152i | ||||
\(865\) | 17.7911 | − | 30.8151i | 0.604915 | − | 1.04774i | ||||
\(866\) | 7.72214 | + | 6.47964i | 0.262409 | + | 0.220187i | ||||
\(867\) | −13.6450 | + | 50.9799i | −0.463408 | + | 1.73137i | ||||
\(868\) | 4.24056 | + | 13.9487i | 0.143934 | + | 0.473448i | ||||
\(869\) | 19.9410 | − | 3.51614i | 0.676453 | − | 0.119277i | ||||
\(870\) | 0.0707280 | + | 0.805866i | 0.00239791 | + | 0.0273214i | ||||
\(871\) | −12.2394 | − | 33.6274i | −0.414715 | − | 1.13942i | ||||
\(872\) | −3.07392 | + | 1.77473i | −0.104096 | + | 0.0600999i | ||||
\(873\) | −12.6220 | − | 10.5793i | −0.427190 | − | 0.358054i | ||||
\(874\) | −14.8266 | + | 8.56013i | −0.501517 | + | 0.289551i | ||||
\(875\) | −11.9936 | − | 23.6306i | −0.405458 | − | 0.798860i | ||||
\(876\) | 9.75292 | − | 4.55114i | 0.329521 | − | 0.153769i | ||||
\(877\) | 5.87513 | + | 33.3195i | 0.198389 | + | 1.12512i | 0.907509 | + | 0.420032i | \(0.137981\pi\) |
−0.709120 | + | 0.705088i | \(0.750908\pi\) | |||||||
\(878\) | 23.8716 | − | 20.0306i | 0.805627 | − | 0.676002i | ||||
\(879\) | 10.4932 | + | 22.4866i | 0.353927 | + | 0.758454i | ||||
\(880\) | −4.14104 | − | 11.3774i | −0.139595 | − | 0.383533i | ||||
\(881\) | 7.95465 | + | 13.7779i | 0.267999 | + | 0.464188i | 0.968345 | − | 0.249616i | \(-0.0803043\pi\) |
−0.700346 | + | 0.713804i | \(0.746971\pi\) | |||||||
\(882\) | 20.3893 | − | 5.02750i | 0.686544 | − | 0.169285i | ||||
\(883\) | −10.3954 | + | 18.0053i | −0.349832 | + | 0.605926i | −0.986219 | − | 0.165443i | \(-0.947095\pi\) |
0.636388 | + | 0.771369i | \(0.280428\pi\) | |||||||
\(884\) | −23.0299 | − | 4.06080i | −0.774581 | − | 0.136580i | ||||
\(885\) | 4.48665 | + | 51.1203i | 0.150817 | + | 1.71839i | ||||
\(886\) | −3.40220 | − | 1.23830i | −0.114299 | − | 0.0416015i | ||||
\(887\) | 21.0676 | + | 7.66796i | 0.707379 | + | 0.257465i | 0.670558 | − | 0.741857i | \(-0.266055\pi\) |
0.0368210 | + | 0.999322i | \(0.488277\pi\) | |||||||
\(888\) | 2.09266 | + | 7.80132i | 0.0702251 | + | 0.261795i | ||||
\(889\) | 21.2116 | − | 32.5509i | 0.711416 | − | 1.09172i | ||||
\(890\) | 18.9431i | 0.634973i | ||||||||
\(891\) | −44.3251 | − | 7.76533i | −1.48495 | − | 0.260148i | ||||
\(892\) | 8.63425 | + | 4.98498i | 0.289096 | + | 0.166910i | ||||
\(893\) | 56.1032 | + | 9.89251i | 1.87742 | + | 0.331040i | ||||
\(894\) | 10.0569 | + | 10.0513i | 0.336353 | + | 0.336167i | ||||
\(895\) | 35.7378 | + | 42.5906i | 1.19458 | + | 1.42365i | ||||
\(896\) | 2.57700 | + | 0.599217i | 0.0860916 | + | 0.0200184i | ||||
\(897\) | −11.2393 | + | 7.87449i | −0.375271 | + | 0.262922i | ||||
\(898\) | 2.67673 | − | 15.1805i | 0.0893235 | − | 0.506579i | ||||
\(899\) | −0.531412 | − | 0.920433i | −0.0177236 | − | 0.0306981i | ||||
\(900\) | 2.24469 | + | 1.29432i | 0.0748231 | + | 0.0431441i | ||||
\(901\) | 15.6152 | + | 9.01544i | 0.520218 | + | 0.300348i | ||||
\(902\) | −7.31385 | + | 41.4789i | −0.243525 | + | 1.38110i | ||||
\(903\) | 39.5042 | + | 21.0705i | 1.31462 | + | 0.701182i | ||||
\(904\) | 2.04021 | + | 0.742577i | 0.0678565 | + | 0.0246977i | ||||
\(905\) | −4.00906 | + | 0.706906i | −0.133266 | + | 0.0234983i | ||||
\(906\) | 1.52421 | − | 17.4773i | 0.0506386 | − | 0.580646i | ||||
\(907\) | 12.0780 | + | 10.1346i | 0.401043 | + | 0.336515i | 0.820897 | − | 0.571077i | \(-0.193474\pi\) |
−0.419854 | + | 0.907592i | \(0.637919\pi\) | |||||||
\(908\) | −6.56061 | + | 11.3633i | −0.217722 | + | 0.377105i | ||||
\(909\) | −11.3200 | − | 1.98959i | −0.375462 | − | 0.0659906i | ||||
\(910\) | 20.0035 | + | 8.52812i | 0.663109 | + | 0.282704i | ||||
\(911\) | −17.4198 | + | 20.7601i | −0.577145 | + | 0.687814i | −0.973081 | − | 0.230464i | \(-0.925976\pi\) |
0.395936 | + | 0.918278i | \(0.370420\pi\) | |||||||
\(912\) | 12.6544 | − | 1.11063i | 0.419028 | − | 0.0367766i | ||||
\(913\) | 8.45369 | − | 23.2263i | 0.279776 | − | 0.768679i | ||||
\(914\) | 7.91211 | − | 1.39512i | 0.261709 | − | 0.0461464i | ||||
\(915\) | 8.09225 | + | 30.1674i | 0.267522 | + | 0.997305i | ||||
\(916\) | 2.65896 | + | 7.30543i | 0.0878544 | + | 0.241378i | ||||
\(917\) | −3.09934 | − | 1.32135i | −0.102349 | − | 0.0436347i | ||||
\(918\) | −3.14971 | − | 35.6616i | −0.103956 | − | 1.17701i | ||||
\(919\) | −22.2295 | − | 38.5026i | −0.733283 | − | 1.27008i | −0.955473 | − | 0.295080i | \(-0.904654\pi\) |
0.222190 | − | 0.975003i | \(-0.428680\pi\) | |||||||
\(920\) | 0.981570 | − | 5.56676i | 0.0323614 | − | 0.183531i | ||||
\(921\) | 13.6278 | + | 50.8036i | 0.449051 | + | 1.67403i | ||||
\(922\) | 1.74591 | − | 4.79686i | 0.0574986 | − | 0.157976i | ||||
\(923\) | −1.09341 | − | 6.20106i | −0.0359902 | − | 0.204110i | ||||
\(924\) | 17.0475 | − | 15.3097i | 0.560822 | − | 0.503652i | ||||
\(925\) | −3.08543 | − | 2.58899i | −0.101448 | − | 0.0851254i | ||||
\(926\) | − | 33.1160i | − | 1.08826i | ||||||
\(927\) | 7.83147 | + | 44.2717i | 0.257219 | + | 1.45407i | ||||
\(928\) | −0.192878 | −0.00633153 | ||||||||
\(929\) | 31.2490 | − | 11.3737i | 1.02525 | − | 0.373159i | 0.225977 | − | 0.974133i | \(-0.427442\pi\) |
0.799269 | + | 0.600973i | \(0.205220\pi\) | |||||||
\(930\) | −23.0240 | − | 2.00794i | −0.754986 | − | 0.0658430i | ||||
\(931\) | −5.52688 | + | 51.0402i | −0.181136 | + | 1.67277i | ||||
\(932\) | −1.51617 | + | 4.16565i | −0.0496638 | + | 0.136450i | ||||
\(933\) | 13.2613 | + | 28.4185i | 0.434156 | + | 0.930381i | ||||
\(934\) | −4.86151 | + | 5.79373i | −0.159074 | + | 0.189577i | ||||
\(935\) | − | 83.4189i | − | 2.72809i | ||||||
\(936\) | 10.0269 | − | 1.77371i | 0.327738 | − | 0.0579755i | ||||
\(937\) | 5.02418 | + | 2.90071i | 0.164133 | + | 0.0947621i | 0.579816 | − | 0.814747i | \(-0.303124\pi\) |
−0.415684 | + | 0.909509i | \(0.636458\pi\) | |||||||
\(938\) | −1.50369 | + | 27.8541i | −0.0490974 | + | 0.909470i | ||||
\(939\) | −46.9121 | + | 4.11731i | −1.53092 | + | 0.134363i | ||||
\(940\) | −14.4089 | + | 12.0905i | −0.469966 | + | 0.394348i | ||||
\(941\) | −4.72645 | − | 26.8050i | −0.154078 | − | 0.873818i | −0.959624 | − | 0.281285i | \(-0.909239\pi\) |
0.805546 | − | 0.592533i | \(-0.201872\pi\) | |||||||
\(942\) | 26.0837 | − | 6.99683i | 0.849854 | − | 0.227969i | ||||
\(943\) | −12.6397 | + | 15.0634i | −0.411605 | + | 0.490532i | ||||
\(944\) | −12.2353 | −0.398224 | ||||||||
\(945\) | −4.65768 | + | 32.9628i | −0.151514 | + | 1.07228i | ||||
\(946\) | 48.8506 | 1.58827 | ||||||||
\(947\) | −20.8785 | + | 24.8820i | −0.678460 | + | 0.808557i | −0.989909 | − | 0.141706i | \(-0.954741\pi\) |
0.311449 | + | 0.950263i | \(0.399186\pi\) | |||||||
\(948\) | −4.96123 | − | 4.95850i | −0.161133 | − | 0.161045i | ||||
\(949\) | 3.66235 | + | 20.7702i | 0.118885 | + | 0.674229i | ||||
\(950\) | −4.85251 | + | 4.07174i | −0.157436 | + | 0.132105i | ||||
\(951\) | −0.400560 | + | 0.859622i | −0.0129890 | + | 0.0278752i | ||||
\(952\) | 15.2722 | + | 9.95208i | 0.494976 | + | 0.322549i | ||||
\(953\) | −5.71083 | − | 3.29715i | −0.184992 | − | 0.106805i | 0.404644 | − | 0.914474i | \(-0.367395\pi\) |
−0.589636 | + | 0.807669i | \(0.700729\pi\) | |||||||
\(954\) | −7.73260 | − | 1.35907i | −0.250352 | − | 0.0440015i | ||||
\(955\) | 0.486440i | 0.0157408i | ||||||||
\(956\) | 0.0442139 | − | 0.0526920i | 0.00142998 | − | 0.00170418i | ||||
\(957\) | −0.957713 | + | 1.36856i | −0.0309585 | + | 0.0442392i | ||||
\(958\) | 7.81596 | − | 21.4742i | 0.252522 | − | 0.693799i | ||||
\(959\) | 21.2906 | + | 4.95061i | 0.687511 | + | 0.159863i | ||||
\(960\) | −2.40473 | + | 3.43633i | −0.0776125 | + | 0.110907i | ||||
\(961\) | −0.597715 | + | 0.217550i | −0.0192811 | + | 0.00701776i | ||||
\(962\) | −15.8282 | −0.510320 | ||||||||
\(963\) | 42.5087 | − | 0.0234387i | 1.36982 | − | 0.000755303i | ||||
\(964\) | − | 12.2301i | − | 0.393904i | ||||||
\(965\) | 9.97015 | + | 8.36595i | 0.320950 | + | 0.269309i | ||||
\(966\) | 10.4664 | − | 2.21053i | 0.336752 | − | 0.0711225i | ||||
\(967\) | −9.31089 | − | 52.8047i | −0.299418 | − | 1.69808i | −0.648681 | − | 0.761060i | \(-0.724679\pi\) |
0.349263 | − | 0.937025i | \(-0.386432\pi\) | |||||||
\(968\) | 4.78836 | − | 13.1559i | 0.153904 | − | 0.422847i | ||||
\(969\) | 84.5451 | + | 22.6288i | 2.71598 | + | 0.726942i | ||||
\(970\) | −2.30839 | + | 13.0915i | −0.0741178 | + | 0.420343i | ||||
\(971\) | −12.0307 | − | 20.8377i | −0.386083 | − | 0.668715i | 0.605836 | − | 0.795589i | \(-0.292839\pi\) |
−0.991919 | + | 0.126875i | \(0.959505\pi\) | |||||||
\(972\) | 6.60744 | + | 14.1188i | 0.211934 | + | 0.452862i | ||||
\(973\) | 3.29788 | + | 4.39078i | 0.105725 | + | 0.140762i | ||||
\(974\) | 7.26534 | + | 19.9613i | 0.232796 | + | 0.639603i | ||||
\(975\) | −3.58945 | + | 3.59143i | −0.114954 | + | 0.115018i | ||||
\(976\) | −7.33384 | + | 1.29315i | −0.234750 | + | 0.0413928i | ||||
\(977\) | 7.78932 | − | 21.4010i | 0.249202 | − | 0.684678i | −0.750514 | − | 0.660855i | \(-0.770194\pi\) |
0.999716 | − | 0.0238233i | \(-0.00758391\pi\) | |||||||
\(978\) | 3.94852 | − | 8.47372i | 0.126260 | − | 0.270960i | ||||
\(979\) | −25.1422 | + | 29.9633i | −0.803549 | + | 0.957632i | ||||
\(980\) | −11.7364 | − | 12.2302i | −0.374907 | − | 0.390679i | ||||
\(981\) | 9.21883 | − | 5.32927i | 0.294335 | − | 0.170151i | ||||
\(982\) | 0.991137 | − | 1.71670i | 0.0316285 | − | 0.0547821i | ||||
\(983\) | 6.33239 | + | 5.31350i | 0.201972 | + | 0.169474i | 0.738164 | − | 0.674622i | \(-0.235693\pi\) |
−0.536192 | + | 0.844096i | \(0.680138\pi\) | |||||||
\(984\) | 13.2216 | − | 6.16978i | 0.421490 | − | 0.196685i | ||||
\(985\) | 13.9491 | − | 2.45959i | 0.444454 | − | 0.0783692i | ||||
\(986\) | −1.24875 | − | 0.454507i | −0.0397682 | − | 0.0144745i | ||||
\(987\) | −31.4076 | − | 16.7520i | −0.999716 | − | 0.533222i | ||||
\(988\) | −4.32266 | + | 24.5150i | −0.137522 | + | 0.779926i | ||||
\(989\) | 19.7512 | + | 11.4034i | 0.628052 | + | 0.362606i | ||||
\(990\) | 12.4419 | + | 34.1254i | 0.395431 | + | 1.08458i | ||||
\(991\) | −8.83684 | − | 15.3059i | −0.280711 | − | 0.486206i | 0.690849 | − | 0.722999i | \(-0.257237\pi\) |
−0.971560 | + | 0.236793i | \(0.923904\pi\) | |||||||
\(992\) | 0.956862 | − | 5.42663i | 0.0303804 | − | 0.172296i | ||||
\(993\) | −20.6486 | − | 9.62166i | −0.655263 | − | 0.305334i | ||||
\(994\) | −1.11164 | + | 4.78073i | −0.0352590 | + | 0.151636i | ||||
\(995\) | 13.9626 | + | 16.6399i | 0.442643 | + | 0.527522i | ||||
\(996\) | −8.26980 | + | 2.21833i | −0.262039 | + | 0.0702905i | ||||
\(997\) | −40.7715 | − | 7.18912i | −1.29125 | − | 0.227682i | −0.514498 | − | 0.857492i | \(-0.672022\pi\) |
−0.776749 | + | 0.629810i | \(0.783133\pi\) | |||||||
\(998\) | 3.72331 | + | 2.14966i | 0.117859 | + | 0.0680462i | ||||
\(999\) | −6.29089 | − | 23.4005i | −0.199035 | − | 0.740358i |
(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 | 378.2.bf.a.101.6 | yes | 144 | |
7.5 | odd | 6 | 378.2.ba.a.47.22 | ✓ | 144 | ||
27.23 | odd | 18 | 378.2.ba.a.185.22 | yes | 144 | ||
189.131 | even | 18 | inner | 378.2.bf.a.131.6 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.ba.a.47.22 | ✓ | 144 | 7.5 | odd | 6 | ||
378.2.ba.a.185.22 | yes | 144 | 27.23 | odd | 18 | ||
378.2.bf.a.101.6 | yes | 144 | 1.1 | even | 1 | trivial | |
378.2.bf.a.131.6 | yes | 144 | 189.131 | even | 18 | inner |