Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,2,Mod(29,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 200.o (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.59700804043\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.13 | ||
Character | \(\chi\) | \(=\) | 200.29 |
Dual form | 200.2.o.a.69.13 |
$q$-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 \(\left(\mathbb{Z}/200\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(177\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.338435 | − | 1.37312i | −0.239309 | − | 0.970943i | ||||
\(3\) | −2.58107 | − | 1.87526i | −1.49018 | − | 1.08268i | −0.974094 | − | 0.226143i | \(-0.927388\pi\) |
−0.516086 | − | 0.856537i | \(-0.672612\pi\) | |||||||
\(4\) | −1.77092 | + | 0.929423i | −0.885462 | + | 0.464712i | ||||
\(5\) | −0.602254 | − | 2.15344i | −0.269336 | − | 0.963046i | ||||
\(6\) | −1.70143 | + | 4.17877i | −0.694606 | + | 1.70598i | ||||
\(7\) | − | 2.97769i | − | 1.12546i | −0.826641 | − | 0.562730i | \(-0.809751\pi\) | ||
0.826641 | − | 0.562730i | \(-0.190249\pi\) | |||||||
\(8\) | 1.87555 | + | 2.11714i | 0.663108 | + | 0.748524i | ||||
\(9\) | 2.21828 | + | 6.82716i | 0.739426 | + | 2.27572i | ||||
\(10\) | −2.75311 | + | 1.55576i | −0.870609 | + | 0.491976i | ||||
\(11\) | −0.263378 | − | 0.0855768i | −0.0794116 | − | 0.0258024i | 0.269042 | − | 0.963129i | \(-0.413293\pi\) |
−0.348453 | + | 0.937326i | \(0.613293\pi\) | |||||||
\(12\) | 6.31378 | + | 0.922031i | 1.82263 | + | 0.266167i | ||||
\(13\) | 1.36304 | + | 4.19500i | 0.378039 | + | 1.16349i | 0.941405 | + | 0.337278i | \(0.109506\pi\) |
−0.563366 | + | 0.826207i | \(0.690494\pi\) | |||||||
\(14\) | −4.08873 | + | 1.00775i | −1.09276 | + | 0.269333i | ||||
\(15\) | −2.48379 | + | 6.68755i | −0.641311 | + | 1.72672i | ||||
\(16\) | 2.27234 | − | 3.29188i | 0.568086 | − | 0.822969i | ||||
\(17\) | −3.01210 | − | 4.14580i | −0.730542 | − | 1.00551i | −0.999107 | − | 0.0422436i | \(-0.986549\pi\) |
0.268565 | − | 0.963262i | \(-0.413451\pi\) | |||||||
\(18\) | 8.62377 | − | 5.35651i | 2.03264 | − | 1.26254i | ||||
\(19\) | −0.824879 | − | 1.13535i | −0.189240 | − | 0.260467i | 0.703846 | − | 0.710353i | \(-0.251465\pi\) |
−0.893086 | + | 0.449886i | \(0.851465\pi\) | |||||||
\(20\) | 3.06800 | + | 3.25382i | 0.686026 | + | 0.727577i | ||||
\(21\) | −5.58392 | + | 7.68561i | −1.21851 | + | 1.67714i | ||||
\(22\) | −0.0283710 | + | 0.390613i | −0.00604872 | + | 0.0832789i | ||||
\(23\) | −0.307187 | − | 0.0998113i | −0.0640530 | − | 0.0208121i | 0.276815 | − | 0.960923i | \(-0.410721\pi\) |
−0.340868 | + | 0.940111i | \(0.610721\pi\) | |||||||
\(24\) | −0.870742 | − | 8.98164i | −0.177739 | − | 1.83337i | ||||
\(25\) | −4.27458 | + | 2.59383i | −0.854916 | + | 0.518766i | ||||
\(26\) | 5.29895 | − | 3.29135i | 1.03921 | − | 0.645488i | ||||
\(27\) | 4.11950 | − | 12.6785i | 0.792798 | − | 2.43998i | ||||
\(28\) | 2.76753 | + | 5.27326i | 0.523014 | + | 0.996552i | ||||
\(29\) | 2.59226 | − | 3.56794i | 0.481371 | − | 0.662550i | −0.497397 | − | 0.867523i | \(-0.665711\pi\) |
0.978768 | + | 0.204973i | \(0.0657107\pi\) | |||||||
\(30\) | 10.0234 | + | 1.14724i | 1.83002 | + | 0.209457i | ||||
\(31\) | −3.04947 | + | 2.21557i | −0.547702 | + | 0.397929i | −0.826937 | − | 0.562294i | \(-0.809919\pi\) |
0.279236 | + | 0.960223i | \(0.409919\pi\) | |||||||
\(32\) | −5.28919 | − | 2.00612i | −0.935005 | − | 0.354635i | ||||
\(33\) | 0.519319 | + | 0.714781i | 0.0904018 | + | 0.124427i | ||||
\(34\) | −4.67329 | + | 5.53907i | −0.801463 | + | 0.949942i | ||||
\(35\) | −6.41226 | + | 1.79332i | −1.08387 | + | 0.303127i | ||||
\(36\) | −10.2737 | − | 10.0287i | −1.71229 | − | 1.67144i | ||||
\(37\) | 1.24835 | + | 3.84202i | 0.205227 | + | 0.631625i | 0.999704 | + | 0.0243301i | \(0.00774527\pi\) |
−0.794477 | + | 0.607295i | \(0.792255\pi\) | |||||||
\(38\) | −1.27980 | + | 1.51690i | −0.207612 | + | 0.246074i | ||||
\(39\) | 4.34861 | − | 13.3836i | 0.696335 | − | 2.14310i | ||||
\(40\) | 3.42958 | − | 5.31394i | 0.542264 | − | 0.840208i | ||||
\(41\) | −1.97884 | − | 6.09023i | −0.309042 | − | 0.951135i | −0.978138 | − | 0.207958i | \(-0.933318\pi\) |
0.669095 | − | 0.743177i | \(-0.266682\pi\) | |||||||
\(42\) | 12.4431 | + | 5.06633i | 1.92001 | + | 0.781752i | ||||
\(43\) | −10.9079 | −1.66343 | −0.831717 | − | 0.555199i | \(-0.812642\pi\) | ||||
−0.831717 | + | 0.555199i | \(0.812642\pi\) | |||||||
\(44\) | 0.545960 | − | 0.0932399i | 0.0823066 | − | 0.0140564i | ||||
\(45\) | 13.3659 | − | 8.88860i | 1.99247 | − | 1.32503i | ||||
\(46\) | −0.0330901 | + | 0.455585i | −0.00487887 | + | 0.0671724i | ||||
\(47\) | 1.67150 | − | 2.30062i | 0.243813 | − | 0.335580i | −0.669519 | − | 0.742795i | \(-0.733500\pi\) |
0.913333 | + | 0.407214i | \(0.133500\pi\) | |||||||
\(48\) | −12.0382 | + | 4.23533i | −1.73756 | + | 0.611317i | ||||
\(49\) | −1.86662 | −0.266660 | ||||||||
\(50\) | 5.00831 | + | 4.99168i | 0.708282 | + | 0.705930i | ||||
\(51\) | 16.3491i | 2.28933i | ||||||||
\(52\) | −6.31278 | − | 6.16219i | −0.875424 | − | 0.854543i | ||||
\(53\) | 0.378304 | + | 0.274854i | 0.0519641 | + | 0.0377541i | 0.613464 | − | 0.789723i | \(-0.289776\pi\) |
−0.561500 | + | 0.827477i | \(0.689776\pi\) | |||||||
\(54\) | −18.8033 | − | 1.36572i | −2.55881 | − | 0.185852i | ||||
\(55\) | −0.0256637 | + | 0.618708i | −0.00346050 | + | 0.0834265i | ||||
\(56\) | 6.30419 | − | 5.58481i | 0.842433 | − | 0.746302i | ||||
\(57\) | 4.47727i | 0.593029i | ||||||||
\(58\) | −5.77652 | − | 2.35197i | −0.758495 | − | 0.308829i | ||||
\(59\) | −5.09147 | + | 1.65432i | −0.662853 | + | 0.215374i | −0.621073 | − | 0.783753i | \(-0.713303\pi\) |
−0.0417804 | + | 0.999127i | \(0.513303\pi\) | |||||||
\(60\) | −1.81696 | − | 14.1516i | −0.234569 | − | 1.82697i | ||||
\(61\) | −1.96419 | − | 0.638204i | −0.251489 | − | 0.0817137i | 0.180560 | − | 0.983564i | \(-0.442209\pi\) |
−0.432049 | + | 0.901850i | \(0.642209\pi\) | |||||||
\(62\) | 4.07430 | + | 3.43747i | 0.517436 | + | 0.436559i | ||||
\(63\) | 20.3291 | − | 6.60534i | 2.56123 | − | 0.832194i | ||||
\(64\) | −0.964603 | + | 7.94163i | −0.120575 | + | 0.992704i | ||||
\(65\) | 8.21278 | − | 5.46168i | 1.01867 | − | 0.677438i | ||||
\(66\) | 0.805726 | − | 0.954995i | 0.0991780 | − | 0.117552i | ||||
\(67\) | 1.25093 | − | 0.908853i | 0.152825 | − | 0.111034i | −0.508745 | − | 0.860917i | \(-0.669890\pi\) |
0.661570 | + | 0.749883i | \(0.269890\pi\) | |||||||
\(68\) | 9.18741 | + | 4.54239i | 1.11414 | + | 0.550845i | ||||
\(69\) | 0.605700 | + | 0.833675i | 0.0729177 | + | 0.100363i | ||||
\(70\) | 4.63258 | + | 8.19789i | 0.553699 | + | 0.979835i | ||||
\(71\) | 7.81261 | + | 5.67620i | 0.927187 | + | 0.673640i | 0.945302 | − | 0.326195i | \(-0.105767\pi\) |
−0.0181158 | + | 0.999836i | \(0.505767\pi\) | |||||||
\(72\) | −10.2936 | + | 17.5011i | −1.21311 | + | 2.06253i | ||||
\(73\) | −8.54291 | − | 2.77576i | −0.999872 | − | 0.324878i | −0.237057 | − | 0.971496i | \(-0.576183\pi\) |
−0.762814 | + | 0.646618i | \(0.776183\pi\) | |||||||
\(74\) | 4.85308 | − | 3.01441i | 0.564159 | − | 0.350418i | ||||
\(75\) | 15.8971 | + | 1.32108i | 1.83564 | + | 0.152545i | ||||
\(76\) | 2.51602 | + | 1.24395i | 0.288607 | + | 0.142691i | ||||
\(77\) | −0.254821 | + | 0.784258i | −0.0290395 | + | 0.0893745i | ||||
\(78\) | −19.8491 | − | 1.44168i | −2.24747 | − | 0.163238i | ||||
\(79\) | 4.49455 | + | 3.26548i | 0.505677 | + | 0.367396i | 0.811181 | − | 0.584795i | \(-0.198825\pi\) |
−0.305504 | + | 0.952191i | \(0.598825\pi\) | |||||||
\(80\) | −8.45738 | − | 2.91081i | −0.945563 | − | 0.325438i | ||||
\(81\) | −16.9856 | + | 12.3407i | −1.88729 | + | 1.37119i | ||||
\(82\) | −7.69292 | + | 4.77833i | −0.849541 | + | 0.527678i | ||||
\(83\) | 10.7440 | − | 7.80599i | 1.17931 | − | 0.856819i | 0.187217 | − | 0.982319i | \(-0.440053\pi\) |
0.992094 | + | 0.125500i | \(0.0400534\pi\) | |||||||
\(84\) | 2.74552 | − | 18.8005i | 0.299561 | − | 2.05130i | ||||
\(85\) | −7.11368 | + | 8.98320i | −0.771587 | + | 0.974365i | ||||
\(86\) | 3.69160 | + | 14.9778i | 0.398075 | + | 1.61510i | ||||
\(87\) | −13.3816 | + | 4.34795i | −1.43466 | + | 0.466149i | ||||
\(88\) | −0.312802 | − | 0.718114i | −0.0333448 | − | 0.0765512i | ||||
\(89\) | 0.992059 | − | 3.05324i | 0.105158 | − | 0.323643i | −0.884610 | − | 0.466333i | \(-0.845575\pi\) |
0.989768 | + | 0.142689i | \(0.0455750\pi\) | |||||||
\(90\) | −16.7286 | − | 15.3448i | −1.76335 | − | 1.61748i | ||||
\(91\) | 12.4914 | − | 4.05871i | 1.30946 | − | 0.425468i | ||||
\(92\) | 0.636773 | − | 0.108749i | 0.0663881 | − | 0.0113379i | ||||
\(93\) | 12.0257 | 1.24700 | ||||||||
\(94\) | −3.72473 | − | 1.51656i | −0.384176 | − | 0.156421i | ||||
\(95\) | −1.94811 | + | 2.46009i | −0.199872 | + | 0.252400i | ||||
\(96\) | 9.88976 | + | 15.0965i | 1.00937 | + | 1.54078i | ||||
\(97\) | 9.69449 | − | 13.3433i | 0.984327 | − | 1.35481i | 0.0498611 | − | 0.998756i | \(-0.484122\pi\) |
0.934466 | − | 0.356053i | \(-0.115878\pi\) | |||||||
\(98\) | 0.631729 | + | 2.56310i | 0.0638142 | + | 0.258912i | ||||
\(99\) | − | 1.98796i | − | 0.199797i | ||||||
\(100\) | 5.15919 | − | 8.56637i | 0.515919 | − | 0.856637i | ||||
\(101\) | − | 19.4874i | − | 1.93907i | −0.244946 | − | 0.969537i | \(-0.578770\pi\) | ||
0.244946 | − | 0.969537i | \(-0.421230\pi\) | |||||||
\(102\) | 22.4492 | − | 5.53309i | 2.22281 | − | 0.547857i | ||||
\(103\) | −4.15447 | + | 5.71814i | −0.409352 | + | 0.563425i | −0.963060 | − | 0.269286i | \(-0.913212\pi\) |
0.553708 | + | 0.832711i | \(0.313212\pi\) | |||||||
\(104\) | −6.32498 | + | 10.7537i | −0.620215 | + | 1.05449i | ||||
\(105\) | 19.9134 | + | 7.39594i | 1.94335 | + | 0.721770i | ||||
\(106\) | 0.249377 | − | 0.612478i | 0.0242216 | − | 0.0594891i | ||||
\(107\) | −11.2557 | −1.08813 | −0.544064 | − | 0.839044i | \(-0.683115\pi\) | ||||
−0.544064 | + | 0.839044i | \(0.683115\pi\) | |||||||
\(108\) | 4.48838 | + | 26.2814i | 0.431895 | + | 2.52893i | ||||
\(109\) | 9.07913 | − | 2.94999i | 0.869623 | − | 0.282558i | 0.159981 | − | 0.987120i | \(-0.448857\pi\) |
0.709642 | + | 0.704563i | \(0.248857\pi\) | |||||||
\(110\) | 0.858246 | − | 0.174153i | 0.0818306 | − | 0.0166048i | ||||
\(111\) | 3.98270 | − | 12.2575i | 0.378021 | − | 1.16343i | ||||
\(112\) | −9.80218 | − | 6.76633i | −0.926219 | − | 0.639358i | ||||
\(113\) | −10.0510 | + | 3.26576i | −0.945517 | + | 0.307217i | −0.740892 | − | 0.671624i | \(-0.765597\pi\) |
−0.204624 | + | 0.978841i | \(0.565597\pi\) | |||||||
\(114\) | 6.14783 | − | 1.51526i | 0.575797 | − | 0.141917i | ||||
\(115\) | −0.0299325 | + | 0.721621i | −0.00279122 | + | 0.0672915i | ||||
\(116\) | −1.27457 | + | 8.72786i | −0.118341 | + | 0.810361i | ||||
\(117\) | −25.6164 | + | 18.6114i | −2.36823 | + | 1.72062i | ||||
\(118\) | 3.99471 | + | 6.43133i | 0.367743 | + | 0.592052i | ||||
\(119\) | −12.3449 | + | 8.96910i | −1.13166 | + | 0.822196i | ||||
\(120\) | −18.8170 | + | 7.28431i | −1.71775 | + | 0.664963i | ||||
\(121\) | −8.83714 | − | 6.42056i | −0.803377 | − | 0.583687i | ||||
\(122\) | −0.211582 | + | 2.91306i | −0.0191557 | + | 0.263736i | ||||
\(123\) | −6.31323 | + | 19.4301i | −0.569245 | + | 1.75196i | ||||
\(124\) | 3.34118 | − | 6.75786i | 0.300047 | − | 0.606874i | ||||
\(125\) | 8.16003 | + | 7.64290i | 0.729855 | + | 0.683602i | ||||
\(126\) | −15.9500 | − | 25.6789i | −1.42094 | − | 2.28766i | ||||
\(127\) | 1.29082 | + | 0.419412i | 0.114542 | + | 0.0372168i | 0.365727 | − | 0.930722i | \(-0.380820\pi\) |
−0.251185 | + | 0.967939i | \(0.580820\pi\) | |||||||
\(128\) | 11.2313 | − | 1.36321i | 0.992714 | − | 0.120491i | ||||
\(129\) | 28.1540 | + | 20.4550i | 2.47882 | + | 1.80097i | ||||
\(130\) | −10.2790 | − | 9.42873i | −0.901531 | − | 0.826954i | ||||
\(131\) | −0.471129 | − | 0.648453i | −0.0411627 | − | 0.0566556i | 0.787940 | − | 0.615753i | \(-0.211148\pi\) |
−0.829102 | + | 0.559097i | \(0.811148\pi\) | |||||||
\(132\) | −1.58401 | − | 0.783156i | −0.137870 | − | 0.0681650i | ||||
\(133\) | −3.38071 | + | 2.45623i | −0.293145 | + | 0.212982i | ||||
\(134\) | −1.67132 | − | 1.41009i | −0.144380 | − | 0.121813i | ||||
\(135\) | −29.7834 | − | 1.23540i | −2.56334 | − | 0.106326i | ||||
\(136\) | 3.12791 | − | 14.1527i | 0.268216 | − | 1.21359i | ||||
\(137\) | −6.89354 | + | 2.23985i | −0.588955 | + | 0.191363i | −0.588308 | − | 0.808637i | \(-0.700206\pi\) |
−0.000646705 | 1.00000i | \(0.500206\pi\) | ||||||||
\(138\) | 0.939747 | − | 1.11384i | 0.0799966 | − | 0.0948167i | ||||
\(139\) | 0.417329 | + | 0.135598i | 0.0353973 | + | 0.0115013i | 0.326662 | − | 0.945141i | \(-0.394076\pi\) |
−0.291265 | + | 0.956642i | \(0.594076\pi\) | |||||||
\(140\) | 9.68887 | − | 9.13554i | 0.818859 | − | 0.772094i | ||||
\(141\) | −8.62851 | + | 2.80357i | −0.726652 | + | 0.236103i | ||||
\(142\) | 5.15005 | − | 12.6487i | 0.432182 | − | 1.06145i | ||||
\(143\) | − | 1.22152i | − | 0.102148i | ||||||
\(144\) | 27.5148 | + | 8.21136i | 2.29290 | + | 0.684280i | ||||
\(145\) | −9.24453 | − | 3.43346i | −0.767717 | − | 0.285134i | ||||
\(146\) | −0.920239 | + | 12.6699i | −0.0761595 | + | 1.04856i | ||||
\(147\) | 4.81787 | + | 3.50039i | 0.397372 | + | 0.288707i | ||||
\(148\) | −5.78160 | − | 5.64369i | −0.475244 | − | 0.463908i | ||||
\(149\) | − | 1.65547i | − | 0.135621i | −0.997698 | − | 0.0678107i | \(-0.978399\pi\) | ||
0.997698 | − | 0.0678107i | \(-0.0216014\pi\) | |||||||
\(150\) | −3.56612 | − | 22.2757i | −0.291172 | − | 1.81880i | ||||
\(151\) | −14.0629 | −1.14442 | −0.572211 | − | 0.820107i | \(-0.693914\pi\) | ||||
−0.572211 | + | 0.820107i | \(0.693914\pi\) | |||||||
\(152\) | 0.856593 | − | 3.87579i | 0.0694788 | − | 0.314368i | ||||
\(153\) | 21.6224 | − | 29.7606i | 1.74806 | − | 2.40600i | ||||
\(154\) | 1.16312 | + | 0.0844800i | 0.0937270 | + | 0.00680759i | ||||
\(155\) | 6.60765 | + | 5.23251i | 0.530739 | + | 0.420286i | ||||
\(156\) | 4.73801 | + | 27.7431i | 0.379345 | + | 2.22123i | ||||
\(157\) | 9.56521 | 0.763387 | 0.381693 | − | 0.924289i | \(-0.375341\pi\) | ||||
0.381693 | + | 0.924289i | \(0.375341\pi\) | |||||||
\(158\) | 2.96279 | − | 7.27672i | 0.235707 | − | 0.578905i | ||||
\(159\) | −0.461007 | − | 1.41883i | −0.0365603 | − | 0.112521i | ||||
\(160\) | −1.13462 | + | 12.5981i | −0.0896998 | + | 0.995969i | ||||
\(161\) | −0.297207 | + | 0.914708i | −0.0234232 | + | 0.0720891i | ||||
\(162\) | 22.6938 | + | 19.1467i | 1.78300 | + | 1.50431i | ||||
\(163\) | −1.69722 | − | 5.22350i | −0.132936 | − | 0.409136i | 0.862327 | − | 0.506352i | \(-0.169006\pi\) |
−0.995263 | + | 0.0972156i | \(0.969006\pi\) | |||||||
\(164\) | 9.16477 | + | 8.94616i | 0.715649 | + | 0.698578i | ||||
\(165\) | 1.22647 | − | 1.54880i | 0.0954809 | − | 0.120574i | ||||
\(166\) | −14.3547 | − | 12.1110i | −1.11414 | − | 0.939999i | ||||
\(167\) | −7.07399 | − | 9.73651i | −0.547401 | − | 0.753433i | 0.442255 | − | 0.896889i | \(-0.354179\pi\) |
−0.989657 | + | 0.143456i | \(0.954179\pi\) | |||||||
\(168\) | −26.7445 | + | 2.59280i | −2.06338 | + | 0.200039i | ||||
\(169\) | −5.22297 | + | 3.79471i | −0.401767 | + | 0.291901i | ||||
\(170\) | 14.7425 | + | 6.72772i | 1.13070 | + | 0.515992i | ||||
\(171\) | 5.92139 | − | 8.15009i | 0.452820 | − | 0.623253i | ||||
\(172\) | 19.3170 | − | 10.1380i | 1.47291 | − | 0.773018i | ||||
\(173\) | 5.37296 | − | 16.5363i | 0.408498 | − | 1.25723i | −0.509440 | − | 0.860506i | \(-0.670148\pi\) |
0.917939 | − | 0.396722i | \(-0.129852\pi\) | |||||||
\(174\) | 10.4991 | + | 16.9031i | 0.795931 | + | 1.28142i | ||||
\(175\) | 7.72361 | + | 12.7284i | 0.583850 | + | 0.962174i | ||||
\(176\) | −0.880195 | + | 0.672549i | −0.0663472 | + | 0.0506953i | ||||
\(177\) | 16.2437 | + | 5.27790i | 1.22095 | + | 0.396711i | ||||
\(178\) | −4.52822 | − | 0.328894i | −0.339404 | − | 0.0246517i | ||||
\(179\) | 12.5073 | − | 17.2148i | 0.934841 | − | 1.28670i | −0.0231007 | − | 0.999733i | \(-0.507354\pi\) |
0.957941 | − | 0.286964i | \(-0.0926462\pi\) | |||||||
\(180\) | −15.4087 | + | 28.1636i | −1.14850 | + | 2.09919i | ||||
\(181\) | −4.82937 | − | 6.64706i | −0.358964 | − | 0.494072i | 0.590896 | − | 0.806748i | \(-0.298775\pi\) |
−0.949860 | + | 0.312676i | \(0.898775\pi\) | |||||||
\(182\) | −9.80062 | − | 15.7786i | −0.726470 | − | 1.16959i | ||||
\(183\) | 3.87291 | + | 5.33061i | 0.286294 | + | 0.394050i | ||||
\(184\) | −0.364831 | − | 0.837562i | −0.0268957 | − | 0.0617459i | ||||
\(185\) | 7.52173 | − | 5.00211i | 0.553009 | − | 0.367763i | ||||
\(186\) | −4.06990 | − | 16.5127i | −0.298420 | − | 1.21077i | ||||
\(187\) | 0.438538 | + | 1.34968i | 0.0320691 | + | 0.0986985i | ||||
\(188\) | −0.821848 | + | 5.62776i | −0.0599394 | + | 0.410446i | ||||
\(189\) | −37.7526 | − | 12.2666i | −2.74610 | − | 0.892262i | ||||
\(190\) | 4.03731 | + | 1.84242i | 0.292898 | + | 0.133663i | ||||
\(191\) | −1.09517 | − | 3.37058i | −0.0792436 | − | 0.243887i | 0.903585 | − | 0.428410i | \(-0.140926\pi\) |
−0.982828 | + | 0.184523i | \(0.940926\pi\) | |||||||
\(192\) | 17.3823 | − | 18.6890i | 1.25446 | − | 1.34876i | ||||
\(193\) | − | 13.3961i | − | 0.964273i | −0.876096 | − | 0.482137i | \(-0.839861\pi\) | ||
0.876096 | − | 0.482137i | \(-0.160139\pi\) | |||||||
\(194\) | −21.6030 | − | 8.79587i | −1.55100 | − | 0.631507i | ||||
\(195\) | −31.4398 | − | 1.30411i | −2.25145 | − | 0.0933892i | ||||
\(196\) | 3.30564 | − | 1.73488i | 0.236117 | − | 0.123920i | ||||
\(197\) | 4.15379 | + | 3.01790i | 0.295945 | + | 0.215017i | 0.725842 | − | 0.687861i | \(-0.241450\pi\) |
−0.429897 | + | 0.902878i | \(0.641450\pi\) | |||||||
\(198\) | −2.72971 | + | 0.672794i | −0.193992 | + | 0.0478134i | ||||
\(199\) | 12.5552 | 0.890012 | 0.445006 | − | 0.895528i | \(-0.353202\pi\) | ||||
0.445006 | + | 0.895528i | \(0.353202\pi\) | |||||||
\(200\) | −13.5087 | − | 4.18504i | −0.955211 | − | 0.295927i | ||||
\(201\) | −4.93307 | −0.347952 | ||||||||
\(202\) | −26.7586 | + | 6.59523i | −1.88273 | + | 0.464038i | ||||
\(203\) | −10.6242 | − | 7.71894i | −0.745673 | − | 0.541763i | ||||
\(204\) | −15.1952 | − | 28.9530i | −1.06388 | − | 2.02711i | ||||
\(205\) | −11.9232 | + | 7.92916i | −0.832750 | + | 0.553797i | ||||
\(206\) | 9.25771 | + | 3.76938i | 0.645015 | + | 0.262625i | ||||
\(207\) | − | 2.31863i | − | 0.161156i | ||||||
\(208\) | 16.9067 | + | 5.04554i | 1.17227 | + | 0.349845i | ||||
\(209\) | 0.120096 | + | 0.369617i | 0.00830719 | + | 0.0255669i | ||||
\(210\) | 3.41614 | − | 29.8466i | 0.235736 | − | 2.05961i | ||||
\(211\) | 7.25107 | + | 2.35602i | 0.499184 | + | 0.162195i | 0.547778 | − | 0.836624i | \(-0.315474\pi\) |
−0.0485936 | + | 0.998819i | \(0.515474\pi\) | |||||||
\(212\) | −0.925404 | − | 0.135141i | −0.0635570 | − | 0.00928153i | ||||
\(213\) | −9.52057 | − | 29.3013i | −0.652339 | − | 2.00769i | ||||
\(214\) | 3.80931 | + | 15.4554i | 0.260399 | + | 1.05651i | ||||
\(215\) | 6.56930 | + | 23.4894i | 0.448023 | + | 1.60196i | ||||
\(216\) | 34.5686 | − | 15.0576i | 2.35209 | − | 1.02454i | ||||
\(217\) | 6.59728 | + | 9.08038i | 0.447853 | + | 0.616416i | ||||
\(218\) | −7.12338 | − | 11.4684i | −0.482456 | − | 0.776736i | ||||
\(219\) | 16.8446 | + | 23.1846i | 1.13825 | + | 1.56667i | ||||
\(220\) | −0.529593 | − | 1.11954i | −0.0357051 | − | 0.0754791i | ||||
\(221\) | 13.2861 | − | 18.2867i | 0.893717 | − | 1.23010i | ||||
\(222\) | −18.1789 | − | 1.32037i | −1.22009 | − | 0.0886176i | ||||
\(223\) | 18.3487 | + | 5.96185i | 1.22872 | + | 0.399235i | 0.850250 | − | 0.526379i | \(-0.176451\pi\) |
0.378469 | + | 0.925614i | \(0.376451\pi\) | |||||||
\(224\) | −5.97360 | + | 15.7495i | −0.399128 | + | 1.05231i | ||||
\(225\) | −27.1907 | − | 23.4294i | −1.81271 | − | 1.56196i | ||||
\(226\) | 7.88588 | + | 12.6960i | 0.524561 | + | 0.844523i | ||||
\(227\) | −7.44462 | + | 22.9122i | −0.494117 | + | 1.52073i | 0.324212 | + | 0.945984i | \(0.394901\pi\) |
−0.818329 | + | 0.574751i | \(0.805099\pi\) | |||||||
\(228\) | −4.16128 | − | 7.92890i | −0.275587 | − | 0.525105i | ||||
\(229\) | −15.5176 | + | 21.3582i | −1.02544 | + | 1.41139i | −0.117113 | + | 0.993119i | \(0.537364\pi\) |
−0.908322 | + | 0.418272i | \(0.862636\pi\) | |||||||
\(230\) | 1.00100 | − | 0.203120i | 0.0660042 | − | 0.0133934i | ||||
\(231\) | 2.12840 | − | 1.54637i | 0.140038 | − | 0.101744i | ||||
\(232\) | 12.4158 | − | 1.20367i | 0.815135 | − | 0.0790248i | ||||
\(233\) | 14.2161 | + | 19.5668i | 0.931328 | + | 1.28186i | 0.959339 | + | 0.282256i | \(0.0910827\pi\) |
−0.0280108 | + | 0.999608i | \(0.508917\pi\) | |||||||
\(234\) | 34.2251 | + | 28.8756i | 2.23737 | + | 1.88766i | ||||
\(235\) | −5.96091 | − | 2.21391i | −0.388847 | − | 0.144420i | ||||
\(236\) | 7.47905 | − | 7.66181i | 0.486845 | − | 0.498741i | ||||
\(237\) | −5.47713 | − | 16.8569i | −0.355778 | − | 1.09497i | ||||
\(238\) | 16.4936 | + | 13.9156i | 1.06912 | + | 0.902014i | ||||
\(239\) | 4.76280 | − | 14.6584i | 0.308080 | − | 0.948173i | −0.670430 | − | 0.741973i | \(-0.733890\pi\) |
0.978510 | − | 0.206200i | \(-0.0661097\pi\) | |||||||
\(240\) | 16.3706 | + | 23.3727i | 1.05671 | + | 1.50870i | ||||
\(241\) | 4.82186 | + | 14.8402i | 0.310604 | + | 0.955940i | 0.977526 | + | 0.210813i | \(0.0676111\pi\) |
−0.666923 | + | 0.745127i | \(0.732389\pi\) | |||||||
\(242\) | −5.82541 | + | 14.3074i | −0.374472 | + | 0.919715i | ||||
\(243\) | 26.9901 | 1.73141 | ||||||||
\(244\) | 4.07160 | − | 0.695353i | 0.260657 | − | 0.0445154i | ||||
\(245\) | 1.12418 | + | 4.01965i | 0.0718211 | + | 0.256806i | ||||
\(246\) | 28.8165 | + | 2.09301i | 1.83728 | + | 0.133445i | ||||
\(247\) | 3.63845 | − | 5.00790i | 0.231509 | − | 0.318645i | ||||
\(248\) | −10.4101 | − | 2.30075i | −0.661044 | − | 0.146098i | ||||
\(249\) | −42.3693 | −2.68505 | ||||||||
\(250\) | 7.73299 | − | 13.7913i | 0.489077 | − | 0.872241i | ||||
\(251\) | − | 2.59224i | − | 0.163621i | −0.996648 | − | 0.0818104i | \(-0.973930\pi\) | ||
0.996648 | − | 0.0818104i | \(-0.0260702\pi\) | |||||||
\(252\) | −29.8622 | + | 30.5919i | −1.88114 | + | 1.92711i | ||||
\(253\) | 0.0723650 | + | 0.0525763i | 0.00454955 | + | 0.00330544i | ||||
\(254\) | 0.139046 | − | 1.91439i | 0.00872455 | − | 0.120120i | ||||
\(255\) | 35.2067 | − | 9.84628i | 2.20473 | − | 0.616598i | ||||
\(256\) | −5.67290 | − | 14.9606i | −0.354556 | − | 0.935035i | ||||
\(257\) | 1.98944i | 0.124098i | 0.998073 | + | 0.0620490i | \(0.0197635\pi\) | ||||
−0.998073 | + | 0.0620490i | \(0.980236\pi\) | |||||||
\(258\) | 18.5590 | − | 45.5815i | 1.15543 | − | 2.83778i | ||||
\(259\) | 11.4403 | − | 3.71719i | 0.710868 | − | 0.230975i | ||||
\(260\) | −9.46801 | + | 17.3054i | −0.587181 | + | 1.07323i | ||||
\(261\) | 30.1092 | + | 9.78308i | 1.86371 | + | 0.605558i | ||||
\(262\) | −0.730959 | + | 0.866376i | −0.0451588 | + | 0.0535249i | ||||
\(263\) | −14.8066 | + | 4.81097i | −0.913017 | + | 0.296657i | −0.727599 | − | 0.686003i | \(-0.759364\pi\) |
−0.185418 | + | 0.982660i | \(0.559364\pi\) | |||||||
\(264\) | −0.539285 | + | 2.44008i | −0.0331907 | + | 0.150177i | ||||
\(265\) | 0.364046 | − | 0.980187i | 0.0223632 | − | 0.0602124i | ||||
\(266\) | 4.51685 | + | 3.81085i | 0.276946 | + | 0.233658i | ||||
\(267\) | −8.28618 | + | 6.02026i | −0.507106 | + | 0.368434i | ||||
\(268\) | −1.37059 | + | 2.77215i | −0.0837222 | + | 0.169336i | ||||
\(269\) | 0.776787 | + | 1.06916i | 0.0473616 | + | 0.0651876i | 0.832041 | − | 0.554714i | \(-0.187172\pi\) |
−0.784679 | + | 0.619902i | \(0.787172\pi\) | |||||||
\(270\) | 8.38336 | + | 41.3143i | 0.510195 | + | 2.51431i | ||||
\(271\) | 11.7169 | + | 8.51285i | 0.711753 | + | 0.517119i | 0.883739 | − | 0.467981i | \(-0.155018\pi\) |
−0.171986 | + | 0.985099i | \(0.555018\pi\) | |||||||
\(272\) | −20.4920 | + | 0.494775i | −1.24251 | + | 0.0300001i | ||||
\(273\) | −39.8523 | − | 12.9488i | −2.41197 | − | 0.783697i | ||||
\(274\) | 5.40859 | + | 8.70763i | 0.326745 | + | 0.526047i | ||||
\(275\) | 1.34780 | − | 0.317354i | 0.0812756 | − | 0.0191371i | ||||
\(276\) | −1.84749 | − | 0.913423i | −0.111206 | − | 0.0549816i | ||||
\(277\) | 3.95585 | − | 12.1748i | 0.237684 | − | 0.731516i | −0.759070 | − | 0.651009i | \(-0.774346\pi\) |
0.996754 | − | 0.0805069i | \(-0.0256539\pi\) | |||||||
\(278\) | 0.0449545 | − | 0.618934i | 0.00269619 | − | 0.0371212i | ||||
\(279\) | −21.8906 | − | 15.9045i | −1.31056 | − | 0.952176i | ||||
\(280\) | −15.8233 | − | 10.2122i | −0.945621 | − | 0.610296i | ||||
\(281\) | −2.54841 | + | 1.85153i | −0.152025 | + | 0.110453i | −0.661198 | − | 0.750212i | \(-0.729952\pi\) |
0.509172 | + | 0.860665i | \(0.329952\pi\) | |||||||
\(282\) | 6.76983 | + | 10.8992i | 0.403138 | + | 0.649036i | ||||
\(283\) | −10.1940 | + | 7.40638i | −0.605971 | + | 0.440264i | −0.847993 | − | 0.530007i | \(-0.822189\pi\) |
0.242022 | + | 0.970271i | \(0.422189\pi\) | |||||||
\(284\) | −19.1111 | − | 2.79089i | −1.13404 | − | 0.165609i | ||||
\(285\) | 9.64152 | − | 2.69645i | 0.571114 | − | 0.159724i | ||||
\(286\) | −1.67729 | + | 0.413404i | −0.0991804 | + | 0.0244451i | ||||
\(287\) | −18.1348 | + | 5.89236i | −1.07046 | + | 0.347815i | ||||
\(288\) | 1.96321 | − | 40.5602i | 0.115684 | − | 2.39003i | ||||
\(289\) | −2.86164 | + | 8.80721i | −0.168332 | + | 0.518071i | ||||
\(290\) | −1.58589 | + | 13.8559i | −0.0931269 | + | 0.813644i | ||||
\(291\) | −50.0443 | + | 16.2604i | −2.93365 | + | 0.953200i | ||||
\(292\) | 17.7087 | − | 3.02432i | 1.03632 | − | 0.176985i | ||||
\(293\) | −9.19701 | −0.537295 | −0.268647 | − | 0.963239i | \(-0.586577\pi\) | ||||
−0.268647 | + | 0.963239i | \(0.586577\pi\) | |||||||
\(294\) | 3.17593 | − | 7.80018i | 0.185224 | − | 0.454916i | ||||
\(295\) | 6.62883 | + | 9.96785i | 0.385946 | + | 0.580351i | ||||
\(296\) | −5.79278 | + | 9.84885i | −0.336698 | + | 0.572453i | ||||
\(297\) | −2.16997 | + | 2.98671i | −0.125915 | + | 0.173307i | ||||
\(298\) | −2.27316 | + | 0.560268i | −0.131681 | + | 0.0324555i | ||||
\(299\) | − | 1.42470i | − | 0.0823925i | ||||||
\(300\) | −29.3804 | + | 12.4356i | −1.69628 | + | 0.717969i | ||||
\(301\) | 32.4802i | 1.87213i | ||||||||
\(302\) | 4.75937 | + | 19.3101i | 0.273871 | + | 1.11117i | ||||
\(303\) | −36.5440 | + | 50.2984i | −2.09940 | + | 2.88957i | ||||
\(304\) | −5.61183 | + | 0.135496i | −0.321861 | + | 0.00777126i | ||||
\(305\) | −0.191392 | + | 4.61412i | −0.0109591 | + | 0.264204i | ||||
\(306\) | −48.1827 | − | 19.6181i | −2.75442 | − | 1.12149i | ||||
\(307\) | 24.3699 | 1.39087 | 0.695433 | − | 0.718591i | \(-0.255213\pi\) | ||||
0.695433 | + | 0.718591i | \(0.255213\pi\) | |||||||
\(308\) | −0.277639 | − | 1.62570i | −0.0158200 | − | 0.0926328i | ||||
\(309\) | 21.4459 | − | 6.96821i | 1.22002 | − | 0.396407i | ||||
\(310\) | 4.94862 | − | 10.8440i | 0.281063 | − | 0.615896i | ||||
\(311\) | 7.74867 | − | 23.8479i | 0.439387 | − | 1.35229i | −0.449138 | − | 0.893463i | \(-0.648269\pi\) |
0.888524 | − | 0.458830i | \(-0.151731\pi\) | |||||||
\(312\) | 36.4912 | − | 15.8951i | 2.06590 | − | 0.899882i | ||||
\(313\) | 10.3764 | − | 3.37148i | 0.586506 | − | 0.190567i | −0.000706882 | − | 1.00000i | \(-0.500225\pi\) |
0.587213 | + | 0.809432i | \(0.300225\pi\) | |||||||
\(314\) | −3.23720 | − | 13.1342i | −0.182686 | − | 0.741205i | ||||
\(315\) | −26.4675 | − | 39.7994i | −1.49127 | − | 2.24244i | ||||
\(316\) | −10.9945 | − | 1.60558i | −0.618491 | − | 0.0903210i | ||||
\(317\) | −0.695505 | + | 0.505314i | −0.0390635 | + | 0.0283813i | −0.607146 | − | 0.794591i | \(-0.707686\pi\) |
0.568082 | + | 0.822972i | \(0.307686\pi\) | |||||||
\(318\) | −1.79221 | + | 1.11320i | −0.100502 | + | 0.0624253i | ||||
\(319\) | −0.988078 | + | 0.717881i | −0.0553218 | + | 0.0401936i | ||||
\(320\) | 17.6827 | − | 2.70566i | 0.988495 | − | 0.151251i | ||||
\(321\) | 29.0517 | + | 21.1073i | 1.62151 | + | 1.17809i | ||||
\(322\) | 1.35659 | + | 0.0985320i | 0.0755998 | + | 0.00549098i | ||||
\(323\) | −2.22231 | + | 6.83957i | −0.123653 | + | 0.380564i | ||||
\(324\) | 18.6104 | − | 37.6413i | 1.03391 | − | 2.09118i | ||||
\(325\) | −16.7076 | − | 14.3964i | −0.926768 | − | 0.798568i | ||||
\(326\) | −6.59811 | + | 4.09830i | −0.365435 | + | 0.226984i | ||||
\(327\) | −28.9658 | − | 9.41157i | −1.60181 | − | 0.520461i | ||||
\(328\) | 9.18249 | − | 15.6120i | 0.507018 | − | 0.862031i | ||||
\(329\) | −6.85053 | − | 4.97720i | −0.377682 | − | 0.274402i | ||||
\(330\) | −2.54177 | − | 1.15993i | −0.139920 | − | 0.0638521i | ||||
\(331\) | −4.98309 | − | 6.85864i | −0.273895 | − | 0.376985i | 0.649805 | − | 0.760101i | \(-0.274851\pi\) |
−0.923700 | + | 0.383117i | \(0.874851\pi\) | |||||||
\(332\) | −11.7718 | + | 23.8096i | −0.646061 | + | 1.30672i | ||||
\(333\) | −23.4609 | + | 17.0453i | −1.28565 | + | 0.934079i | ||||
\(334\) | −10.9753 | + | 13.0086i | −0.600543 | + | 0.711799i | ||||
\(335\) | −2.71053 | − | 2.14644i | −0.148092 | − | 0.117272i | ||||
\(336\) | 12.6115 | + | 35.8460i | 0.688013 | + | 1.95556i | ||||
\(337\) | 15.9864 | − | 5.19430i | 0.870835 | − | 0.282951i | 0.160688 | − | 0.987005i | \(-0.448629\pi\) |
0.710147 | + | 0.704054i | \(0.248629\pi\) | |||||||
\(338\) | 6.97823 | + | 5.88751i | 0.379566 | + | 0.320238i | ||||
\(339\) | 32.0664 | + | 10.4190i | 1.74161 | + | 0.565883i | ||||
\(340\) | 4.24859 | − | 22.5202i | 0.230412 | − | 1.22133i | ||||
\(341\) | 0.992767 | − | 0.322570i | 0.0537613 | − | 0.0174681i | ||||
\(342\) | −13.1951 | − | 5.37251i | −0.713508 | − | 0.290512i | ||||
\(343\) | − | 15.2856i | − | 0.825345i | ||||||
\(344\) | −20.4583 | − | 23.0935i | −1.10304 | − | 1.24512i | ||||
\(345\) | 1.43048 | − | 1.80642i | 0.0770145 | − | 0.0972544i | ||||
\(346\) | −24.5247 | − | 1.78128i | −1.31845 | − | 0.0957622i | ||||
\(347\) | 14.2663 | + | 10.3651i | 0.765856 | + | 0.556427i | 0.900701 | − | 0.434440i | \(-0.143054\pi\) |
−0.134845 | + | 0.990867i | \(0.543054\pi\) | |||||||
\(348\) | 19.6567 | − | 20.1371i | 1.05371 | − | 1.07946i | ||||
\(349\) | 35.1956i | 1.88398i | 0.335642 | + | 0.941990i | \(0.391047\pi\) | ||||
−0.335642 | + | 0.941990i | \(0.608953\pi\) | |||||||
\(350\) | 14.8637 | − | 14.9132i | 0.794496 | − | 0.797143i | ||||
\(351\) | 58.8015 | 3.13859 | ||||||||
\(352\) | 1.22138 | + | 0.981000i | 0.0650997 | + | 0.0522875i | ||||
\(353\) | −16.7024 | + | 22.9889i | −0.888980 | + | 1.22358i | 0.0848720 | + | 0.996392i | \(0.472952\pi\) |
−0.973852 | + | 0.227184i | \(0.927048\pi\) | |||||||
\(354\) | 1.74977 | − | 24.0908i | 0.0929991 | − | 1.28041i | ||||
\(355\) | 7.51815 | − | 20.2425i | 0.399022 | − | 1.07436i | ||||
\(356\) | 1.08089 | + | 6.32910i | 0.0572873 | + | 0.335442i | ||||
\(357\) | 48.6824 | 2.57655 | ||||||||
\(358\) | −27.8710 | − | 11.3480i | −1.47303 | − | 0.599758i | ||||
\(359\) | 3.94315 | + | 12.1358i | 0.208112 | + | 0.640501i | 0.999571 | + | 0.0292801i | \(0.00932147\pi\) |
−0.791460 | + | 0.611221i | \(0.790679\pi\) | |||||||
\(360\) | 43.8869 | + | 11.6265i | 2.31304 | + | 0.612769i | ||||
\(361\) | 5.26273 | − | 16.1970i | 0.276986 | − | 0.852475i | ||||
\(362\) | −7.49279 | + | 8.88091i | −0.393812 | + | 0.466770i | ||||
\(363\) | 10.7691 | + | 33.1438i | 0.565230 | + | 1.73960i | ||||
\(364\) | −18.3491 | + | 18.7975i | −0.961753 | + | 0.985255i | ||||
\(365\) | −0.832425 | + | 20.0683i | −0.0435711 | + | 1.05042i | ||||
\(366\) | 6.00885 | − | 7.12204i | 0.314087 | − | 0.372275i | ||||
\(367\) | 12.5338 | + | 17.2512i | 0.654257 | + | 0.900507i | 0.999274 | − | 0.0380891i | \(-0.0121271\pi\) |
−0.345018 | + | 0.938596i | \(0.612127\pi\) | |||||||
\(368\) | −1.02660 | + | 0.784418i | −0.0535153 | + | 0.0408906i | ||||
\(369\) | 37.1894 | − | 27.0197i | 1.93600 | − | 1.40659i | ||||
\(370\) | −9.41412 | − | 8.63536i | −0.489417 | − | 0.448931i | ||||
\(371\) | 0.818430 | − | 1.12647i | 0.0424908 | − | 0.0584835i | ||||
\(372\) | −21.2965 | + | 11.1769i | −1.10417 | + | 0.579497i | ||||
\(373\) | 3.63793 | − | 11.1964i | 0.188365 | − | 0.579727i | −0.811625 | − | 0.584178i | \(-0.801417\pi\) |
0.999990 | + | 0.00445132i | \(0.00141691\pi\) | |||||||
\(374\) | 1.70486 | − | 1.05894i | 0.0881562 | − | 0.0547567i | ||||
\(375\) | −6.72921 | − | 35.0290i | −0.347495 | − | 1.80889i | ||||
\(376\) | 8.00574 | − | 0.776131i | 0.412864 | − | 0.0400259i | ||||
\(377\) | 18.5009 | + | 6.01130i | 0.952844 | + | 0.309598i | ||||
\(378\) | −4.06670 | + | 55.9904i | −0.209168 | + | 2.87983i | ||||
\(379\) | 10.7274 | − | 14.7650i | 0.551030 | − | 0.758428i | −0.439121 | − | 0.898428i | \(-0.644710\pi\) |
0.990152 | + | 0.140000i | \(0.0447102\pi\) | |||||||
\(380\) | 1.16350 | − | 6.16726i | 0.0596861 | − | 0.316374i | ||||
\(381\) | −2.54518 | − | 3.50315i | −0.130394 | − | 0.179472i | ||||
\(382\) | −4.25758 | + | 2.64452i | −0.217836 | + | 0.135305i | ||||
\(383\) | −21.1437 | − | 29.1018i | −1.08039 | − | 1.48703i | −0.859087 | − | 0.511830i | \(-0.828968\pi\) |
−0.221307 | − | 0.975204i | \(-0.571032\pi\) | |||||||
\(384\) | −31.5451 | − | 17.5430i | −1.60978 | − | 0.895237i | ||||
\(385\) | 1.84232 | + | 0.0764185i | 0.0938932 | + | 0.00389465i | ||||
\(386\) | −18.3945 | + | 4.53371i | −0.936255 | + | 0.230760i | ||||
\(387\) | −24.1967 | − | 74.4697i | −1.22999 | − | 3.78551i | ||||
\(388\) | −4.76661 | + | 32.6403i | −0.241988 | + | 1.65706i | ||||
\(389\) | 2.67533 | + | 0.869269i | 0.135645 | + | 0.0440737i | 0.376053 | − | 0.926598i | \(-0.377281\pi\) |
−0.240408 | + | 0.970672i | \(0.577281\pi\) | |||||||
\(390\) | 8.84961 | + | 43.6120i | 0.448118 | + | 2.20838i | ||||
\(391\) | 0.511482 | + | 1.57418i | 0.0258668 | + | 0.0796097i | ||||
\(392\) | −3.50094 | − | 3.95190i | −0.176824 | − | 0.199601i | ||||
\(393\) | 2.55719i | 0.128993i | ||||||||
\(394\) | 2.73816 | − | 6.72501i | 0.137947 | − | 0.338801i | ||||
\(395\) | 4.32515 | − | 11.6454i | 0.217622 | − | 0.585943i | ||||
\(396\) | 1.84765 | + | 3.52052i | 0.0928481 | + | 0.176913i | ||||
\(397\) | 6.36873 | + | 4.62715i | 0.319637 | + | 0.232230i | 0.736021 | − | 0.676959i | \(-0.236703\pi\) |
−0.416383 | + | 0.909189i | \(0.636703\pi\) | |||||||
\(398\) | −4.24910 | − | 17.2398i | −0.212988 | − | 0.864151i | ||||
\(399\) | 13.3319 | 0.667430 | ||||||||
\(400\) | −1.17475 | + | 19.9655i | −0.0587377 | + | 0.998273i | ||||
\(401\) | −6.74733 | −0.336946 | −0.168473 | − | 0.985706i | \(-0.553884\pi\) | ||||
−0.168473 | + | 0.985706i | \(0.553884\pi\) | |||||||
\(402\) | 1.66952 | + | 6.77370i | 0.0832681 | + | 0.337841i | ||||
\(403\) | −13.4509 | − | 9.77264i | −0.670037 | − | 0.486810i | ||||
\(404\) | 18.1121 | + | 34.5108i | 0.901110 | + | 1.71698i | ||||
\(405\) | 36.8046 | + | 29.1451i | 1.82884 | + | 1.44823i | ||||
\(406\) | −7.00344 | + | 17.2007i | −0.347575 | + | 0.853655i | ||||
\(407\) | − | 1.11874i | − | 0.0554537i | ||||||
\(408\) | −34.6133 | + | 30.6635i | −1.71362 | + | 1.51807i | ||||
\(409\) | −8.52623 | − | 26.2411i | −0.421595 | − | 1.29754i | −0.906217 | − | 0.422813i | \(-0.861043\pi\) |
0.484622 | − | 0.874724i | \(-0.338957\pi\) | |||||||
\(410\) | 14.9229 | + | 13.6885i | 0.736990 | + | 0.676025i | ||||
\(411\) | 21.9930 | + | 7.14596i | 1.08483 | + | 0.352484i | ||||
\(412\) | 2.04268 | − | 13.9876i | 0.100636 | − | 0.689122i | ||||
\(413\) | 4.92605 | + | 15.1608i | 0.242395 | + | 0.746015i | ||||
\(414\) | −3.18375 | + | 0.784703i | −0.156473 | + | 0.0385661i | ||||
\(415\) | −23.2803 | − | 18.4354i | −1.14279 | − | 0.904958i | ||||
\(416\) | 1.20631 | − | 24.9226i | 0.0591444 | − | 1.22193i | ||||
\(417\) | −0.822872 | − | 1.13259i | −0.0402962 | − | 0.0554630i | ||||
\(418\) | 0.466884 | − | 0.289997i | 0.0228360 | − | 0.0141842i | ||||
\(419\) | −14.4072 | − | 19.8299i | −0.703839 | − | 0.968752i | −0.999908 | − | 0.0135851i | \(-0.995676\pi\) |
0.296068 | − | 0.955167i | \(-0.404324\pi\) | |||||||
\(420\) | −42.1391 | + | 5.41035i | −2.05618 | + | 0.263998i | ||||
\(421\) | 15.9444 | − | 21.9456i | 0.777084 | − | 1.06956i | −0.218514 | − | 0.975834i | \(-0.570121\pi\) |
0.995598 | − | 0.0937303i | \(-0.0298792\pi\) | |||||||
\(422\) | 0.781083 | − | 10.7540i | 0.0380225 | − | 0.523494i | ||||
\(423\) | 19.4146 | + | 6.30817i | 0.943968 | + | 0.306714i | ||||
\(424\) | 0.127624 | + | 1.31643i | 0.00619795 | + | 0.0639314i | ||||
\(425\) | 23.6290 | + | 9.90869i | 1.14617 | + | 0.480642i | ||||
\(426\) | −37.0121 | + | 22.9895i | −1.79324 | + | 1.11384i | ||||
\(427\) | −1.90037 | + | 5.84875i | −0.0919655 | + | 0.283041i | ||||
\(428\) | 19.9330 | − | 10.4613i | 0.963496 | − | 0.505666i | ||||
\(429\) | −2.29066 | + | 3.15282i | −0.110594 | + | 0.152220i | ||||
\(430\) | 30.0305 | − | 16.9701i | 1.44820 | − | 0.818370i | ||||
\(431\) | −6.94699 | + | 5.04728i | −0.334625 | + | 0.243119i | −0.742390 | − | 0.669968i | \(-0.766308\pi\) |
0.407766 | + | 0.913087i | \(0.366308\pi\) | |||||||
\(432\) | −32.3752 | − | 42.3708i | −1.55765 | − | 2.03857i | ||||
\(433\) | 17.2045 | + | 23.6800i | 0.826797 | + | 1.13799i | 0.988511 | + | 0.151150i | \(0.0482978\pi\) |
−0.161714 | + | 0.986838i | \(0.551702\pi\) | |||||||
\(434\) | 10.2357 | − | 12.1320i | 0.491330 | − | 0.582354i | ||||
\(435\) | 17.4221 | + | 26.1979i | 0.835328 | + | 1.25609i | ||||
\(436\) | −13.3367 | + | 13.6626i | −0.638710 | + | 0.654318i | ||||
\(437\) | 0.140072 | + | 0.431097i | 0.00670055 | + | 0.0206222i | ||||
\(438\) | 26.1344 | − | 30.9761i | 1.24875 | − | 1.48009i | ||||
\(439\) | 3.98757 | − | 12.2725i | 0.190317 | − | 0.585734i | −0.809683 | − | 0.586868i | \(-0.800361\pi\) |
0.999999 | + | 0.00113362i | \(0.000360843\pi\) | |||||||
\(440\) | −1.35803 | + | 1.10608i | −0.0647414 | + | 0.0527305i | ||||
\(441\) | −4.14068 | − | 12.7437i | −0.197175 | − | 0.606843i | ||||
\(442\) | −29.6063 | − | 12.0545i | −1.40823 | − | 0.573375i | ||||
\(443\) | 1.10768 | 0.0526274 | 0.0263137 | − | 0.999654i | \(-0.491623\pi\) | ||||
0.0263137 | + | 0.999654i | \(0.491623\pi\) | |||||||
\(444\) | 4.33934 | + | 25.4087i | 0.205936 | + | 1.20584i | ||||
\(445\) | −7.17244 | − | 0.297510i | −0.340006 | − | 0.0141033i | ||||
\(446\) | 1.97651 | − | 27.2127i | 0.0935906 | − | 1.28856i | ||||
\(447\) | −3.10443 | + | 4.27288i | −0.146834 | + | 0.202100i | ||||
\(448\) | 23.6477 | + | 2.87229i | 1.11725 | + | 0.135703i | ||||
\(449\) | −6.01273 | −0.283758 | −0.141879 | − | 0.989884i | \(-0.545314\pi\) | ||||
−0.141879 | + | 0.989884i | \(0.545314\pi\) | |||||||
\(450\) | −22.9691 | + | 45.2654i | −1.08278 | + | 2.13383i | ||||
\(451\) | 1.77338i | 0.0835051i | ||||||||
\(452\) | 14.7642 | − | 15.1250i | 0.694452 | − | 0.711422i | ||||
\(453\) | 36.2973 | + | 26.3715i | 1.70539 | + | 1.23904i | ||||
\(454\) | 33.9807 | + | 2.46809i | 1.59479 | + | 0.115833i | ||||
\(455\) | −16.2632 | − | 24.4551i | −0.762429 | − | 1.14647i | ||||
\(456\) | −9.47903 | + | 8.39736i | −0.443896 | + | 0.393242i | ||||
\(457\) | 36.8695i | 1.72468i | 0.506328 | + | 0.862341i | \(0.331003\pi\) | ||||
−0.506328 | + | 0.862341i | \(0.668997\pi\) | |||||||
\(458\) | 34.5791 | + | 14.0793i | 1.61578 | + | 0.657880i | ||||
\(459\) | −64.9710 | + | 21.1103i | −3.03258 | + | 0.985347i | ||||
\(460\) | −0.617683 | − | 1.30576i | −0.0287996 | − | 0.0608812i | ||||
\(461\) | −32.4405 | − | 10.5406i | −1.51091 | − | 0.490923i | −0.567730 | − | 0.823215i | \(-0.692178\pi\) |
−0.943177 | + | 0.332291i | \(0.892178\pi\) | |||||||
\(462\) | −2.84368 | − | 2.39920i | −0.132300 | − | 0.111621i | ||||
\(463\) | 39.9752 | − | 12.9887i | 1.85780 | − | 0.603637i | 0.862591 | − | 0.505902i | \(-0.168840\pi\) |
0.995212 | − | 0.0977353i | \(-0.0311599\pi\) | |||||||
\(464\) | −5.85471 | − | 16.6410i | −0.271798 | − | 0.772538i | ||||
\(465\) | −7.24250 | − | 25.8965i | −0.335863 | − | 1.20092i | ||||
\(466\) | 22.0564 | − | 26.1425i | 1.02174 | − | 1.21103i | ||||
\(467\) | −9.30036 | + | 6.75711i | −0.430370 | + | 0.312682i | −0.781797 | − | 0.623533i | \(-0.785696\pi\) |
0.351427 | + | 0.936215i | \(0.385696\pi\) | |||||||
\(468\) | 28.0668 | − | 56.7678i | 1.29739 | − | 2.62409i | ||||
\(469\) | −2.70628 | − | 3.72488i | −0.124964 | − | 0.171999i | ||||
\(470\) | −1.02259 | + | 8.93432i | −0.0471686 | + | 0.412109i | ||||
\(471\) | −24.6884 | − | 17.9372i | −1.13758 | − | 0.826503i | ||||
\(472\) | −13.0518 | − | 7.67662i | −0.600756 | − | 0.353345i | ||||
\(473\) | 2.87290 | + | 0.933461i | 0.132096 | + | 0.0429206i | ||||
\(474\) | −21.2929 | + | 13.2257i | −0.978015 | + | 0.607477i | ||||
\(475\) | 6.47091 | + | 2.71354i | 0.296906 | + | 0.124506i | ||||
\(476\) | 13.5258 | − | 27.3572i | 0.619954 | − | 1.25392i | ||||
\(477\) | −1.03729 | + | 3.19245i | −0.0474942 | + | 0.146172i | ||||
\(478\) | −21.7396 | − | 1.57900i | −0.994348 | − | 0.0722216i | ||||
\(479\) | 9.62460 | + | 6.99268i | 0.439759 | + | 0.319504i | 0.785539 | − | 0.618812i | \(-0.212386\pi\) |
−0.345780 | + | 0.938316i | \(0.612386\pi\) | |||||||
\(480\) | 26.5532 | − | 30.3889i | 1.21198 | − | 1.38706i | ||||
\(481\) | −14.4158 | + | 10.4737i | −0.657302 | + | 0.477558i | ||||
\(482\) | 18.7455 | − | 11.6434i | 0.853833 | − | 0.530344i | ||||
\(483\) | 2.48242 | − | 1.80359i | 0.112954 | − | 0.0820660i | ||||
\(484\) | 21.6173 | + | 3.15688i | 0.982606 | + | 0.143494i | ||||
\(485\) | −34.5726 | − | 12.8404i | −1.56986 | − | 0.583053i | ||||
\(486\) | −9.13437 | − | 37.0606i | −0.414343 | − | 1.68110i | ||||
\(487\) | 20.8019 | − | 6.75894i | 0.942622 | − | 0.306277i | 0.202908 | − | 0.979198i | \(-0.434961\pi\) |
0.739714 | + | 0.672921i | \(0.234961\pi\) | |||||||
\(488\) | −2.33277 | − | 5.35546i | −0.105600 | − | 0.242430i | ||||
\(489\) | −5.41477 | + | 16.6649i | −0.244864 | + | 0.753615i | ||||
\(490\) | 5.13900 | − | 2.90402i | 0.232157 | − | 0.131190i | ||||
\(491\) | 3.07965 | − | 1.00064i | 0.138983 | − | 0.0451582i | −0.238700 | − | 0.971093i | \(-0.576721\pi\) |
0.377682 | + | 0.925935i | \(0.376721\pi\) | |||||||
\(492\) | −6.87856 | − | 40.2770i | −0.310110 | − | 1.81583i | ||||
\(493\) | −22.6001 | −1.01786 | ||||||||
\(494\) | −8.10782 | − | 3.30119i | −0.364788 | − | 0.148527i | ||||
\(495\) | −4.28094 | + | 1.19725i | −0.192414 | + | 0.0538126i | ||||
\(496\) | 0.363935 | + | 15.0730i | 0.0163412 | + | 0.676799i | ||||
\(497\) | 16.9019 | − | 23.2635i | 0.758155 | − | 1.04351i | ||||
\(498\) | 14.3392 | + | 58.1782i | 0.642556 | + | 2.60703i | ||||
\(499\) | 4.70824i | 0.210770i | 0.994432 | + | 0.105385i | \(0.0336074\pi\) | ||||
−0.994432 | + | 0.105385i | \(0.966393\pi\) | |||||||
\(500\) | −21.5543 | − | 5.95087i | −0.963937 | − | 0.266131i | ||||
\(501\) | 38.3961i | 1.71541i | ||||||||
\(502\) | −3.55946 | + | 0.877304i | −0.158867 | + | 0.0391560i | ||||
\(503\) | 7.58802 | − | 10.4440i | 0.338333 | − | 0.465676i | −0.605621 | − | 0.795754i | \(-0.707075\pi\) |
0.943954 | + | 0.330078i | \(0.107075\pi\) | |||||||
\(504\) | 52.1128 | + | 30.6511i | 2.32129 | + | 1.36531i | ||||
\(505\) | −41.9650 | + | 11.7364i | −1.86742 | + | 0.522262i | ||||
\(506\) | 0.0477028 | − | 0.117160i | 0.00212065 | − | 0.00520838i | ||||
\(507\) | 20.5969 | 0.914740 | ||||||||
\(508\) | −2.67575 | + | 0.456969i | −0.118717 | + | 0.0202747i | ||||
\(509\) | 8.87419 | − | 2.88340i | 0.393342 | − | 0.127804i | −0.105667 | − | 0.994402i | \(-0.533698\pi\) |
0.499008 | + | 0.866597i | \(0.333698\pi\) | |||||||
\(510\) | −25.4353 | − | 45.0107i | −1.12629 | − | 1.99311i | ||||
\(511\) | −8.26534 | + | 25.4381i | −0.365637 | + | 1.12532i | ||||
\(512\) | −18.6228 | + | 12.8527i | −0.823017 | + | 0.568017i | ||||
\(513\) | −17.7926 | + | 5.78117i | −0.785563 | + | 0.255245i | ||||
\(514\) | 2.73175 | − | 0.673296i | 0.120492 | − | 0.0296978i | ||||
\(515\) | 14.8157 | + | 5.50262i | 0.652857 | + | 0.242474i | ||||
\(516\) | −68.8699 | − | 10.0574i | −3.03183 | − | 0.442752i | ||||
\(517\) | −0.637117 | + | 0.462892i | −0.0280204 | + | 0.0203580i | ||||
\(518\) | −8.97596 | − | 14.4510i | −0.394381 | − | 0.634938i | ||||
\(519\) | −44.8777 | + | 32.6055i | −1.96991 | + | 1.43122i | ||||
\(520\) | 26.9667 | + | 7.14399i | 1.18257 | + | 0.313285i | ||||
\(521\) | −14.6710 | − | 10.6591i | −0.642748 | − | 0.466984i | 0.218045 | − | 0.975939i | \(-0.430032\pi\) |
−0.860793 | + | 0.508955i | \(0.830032\pi\) | |||||||
\(522\) | 3.24336 | − | 44.6546i | 0.141958 | − | 1.95448i | ||||
\(523\) | 7.22455 | − | 22.2349i | 0.315908 | − | 0.972264i | −0.659472 | − | 0.751729i | \(-0.729220\pi\) |
0.975379 | − | 0.220534i | \(-0.0707800\pi\) | |||||||
\(524\) | 1.43702 | + | 0.710483i | 0.0627766 | + | 0.0310376i | ||||
\(525\) | 3.93377 | − | 47.3365i | 0.171684 | − | 2.06594i | ||||
\(526\) | 11.6171 | + | 18.7031i | 0.506531 | + | 0.815495i | ||||
\(527\) | 18.3707 | + | 5.96899i | 0.800238 | + | 0.260013i | ||||
\(528\) | 3.53304 | − | 0.0853046i | 0.153756 | − | 0.00371240i | ||||
\(529\) | −18.5230 | − | 13.4577i | −0.805347 | − | 0.585119i | ||||
\(530\) | −1.46912 | − | 0.168150i | −0.0638145 | − | 0.00730399i | ||||
\(531\) | −22.5886 | − | 31.0905i | −0.980262 | − | 1.34921i | ||||
\(532\) | 3.70411 | − | 7.49191i | 0.160593 | − | 0.324816i | ||||
\(533\) | 22.8513 | − | 16.6025i | 0.989801 | − | 0.719132i | ||||
\(534\) | 11.0709 | + | 9.34047i | 0.479084 | + | 0.404202i | ||||
\(535\) | 6.77877 | + | 24.2384i | 0.293072 | + | 1.04792i | ||||
\(536\) | 4.27036 | + | 0.943796i | 0.184451 | + | 0.0407658i | ||||
\(537\) | −64.5645 | + | 20.9783i | −2.78616 | + | 0.905279i | ||||
\(538\) | 1.20519 | − | 1.42846i | 0.0519594 | − | 0.0615854i | ||||
\(539\) | 0.491627 | + | 0.159739i | 0.0211759 | + | 0.00688046i | ||||
\(540\) | 53.8923 | − | 25.4935i | 2.31915 | − | 1.09707i | ||||
\(541\) | −1.23623 | + | 0.401675i | −0.0531496 | + | 0.0172694i | −0.335471 | − | 0.942050i | \(-0.608896\pi\) |
0.282322 | + | 0.959320i | \(0.408896\pi\) | |||||||
\(542\) | 7.72376 | − | 18.9698i | 0.331764 | − | 0.814823i | ||||
\(543\) | 26.2128i | 1.12490i | ||||||||
\(544\) | 7.61459 | + | 27.9706i | 0.326473 | + | 1.19923i | ||||
\(545\) | −11.8206 | − | 17.7747i | −0.506337 | − | 0.761384i | ||||
\(546\) | −4.29287 | + | 59.1044i | −0.183718 | + | 2.52943i | ||||
\(547\) | 1.78489 | + | 1.29680i | 0.0763163 | + | 0.0554470i | 0.625289 | − | 0.780393i | \(-0.284981\pi\) |
−0.548973 | + | 0.835840i | \(0.684981\pi\) | |||||||
\(548\) | 10.1262 | − | 10.3736i | 0.432569 | − | 0.443139i | ||||
\(549\) | − | 14.8256i | − | 0.632739i | ||||||
\(550\) | −0.891908 | − | 1.74329i | −0.0380311 | − | 0.0743343i | ||||
\(551\) | −6.18915 | −0.263667 | ||||||||
\(552\) | −0.628987 | + | 2.84596i | −0.0267715 | + | 0.121132i | ||||
\(553\) | 9.72359 | − | 13.3834i | 0.413489 | − | 0.569119i | ||||
\(554\) | −18.0563 | − | 1.31147i | −0.767140 | − | 0.0557190i | ||||
\(555\) | −28.7943 | − | 1.19438i | −1.22225 | − | 0.0506985i | ||||
\(556\) | −0.865085 | + | 0.147741i | −0.0366878 | + | 0.00626560i | ||||
\(557\) | −22.2912 | −0.944509 | −0.472255 | − | 0.881462i | \(-0.656560\pi\) | ||||
−0.472255 | + | 0.881462i | \(0.656560\pi\) | |||||||
\(558\) | −14.4302 | + | 35.4411i | −0.610880 | + | 1.50034i | ||||
\(559\) | −14.8679 | − | 45.7586i | −0.628844 | − | 1.93538i | ||||
\(560\) | −8.66747 | + | 25.1834i | −0.366268 | + | 1.06419i | ||||
\(561\) | 1.39910 | − | 4.30599i | 0.0590701 | − | 0.181799i | ||||
\(562\) | 3.40484 | + | 2.87265i | 0.143624 | + | 0.121176i | ||||
\(563\) | 6.54968 | + | 20.1578i | 0.276036 | + | 0.849551i | 0.988943 | + | 0.148293i | \(0.0473780\pi\) |
−0.712907 | + | 0.701258i | \(0.752622\pi\) | |||||||
\(564\) | 12.6747 | − | 12.9845i | 0.533702 | − | 0.546744i | ||||
\(565\) | 13.0858 | + | 19.6773i | 0.550526 | + | 0.827832i | ||||
\(566\) | 13.6199 | + | 11.4910i | 0.572486 | + | 0.483004i | ||||
\(567\) | 36.7469 | + | 50.5777i | 1.54322 | + | 2.12406i | ||||
\(568\) | 2.63564 | + | 27.1864i | 0.110589 | + | 1.14072i | ||||
\(569\) | 1.34832 | − | 0.979610i | 0.0565244 | − | 0.0410674i | −0.559164 | − | 0.829057i | \(-0.688878\pi\) |
0.615689 | + | 0.787989i | \(0.288878\pi\) | |||||||
\(570\) | −6.96558 | − | 12.3264i | −0.291756 | − | 0.516296i | ||||
\(571\) | −2.18726 | + | 3.01051i | −0.0915340 | + | 0.125986i | −0.852328 | − | 0.523008i | \(-0.824810\pi\) |
0.760794 | + | 0.648994i | \(0.224810\pi\) | |||||||
\(572\) | 1.13531 | + | 2.16322i | 0.0474696 | + | 0.0904486i | ||||
\(573\) | −3.49400 | + | 10.7534i | −0.145964 | + | 0.449231i | ||||
\(574\) | 14.2284 | + | 22.9071i | 0.593881 | + | 0.956124i | ||||
\(575\) | 1.57199 | − | 0.370141i | 0.0655566 | − | 0.0154359i | ||||
\(576\) | −56.3585 | + | 11.0312i | −2.34827 | + | 0.459635i | ||||
\(577\) | −23.2030 | − | 7.53910i | −0.965952 | − | 0.313857i | −0.216771 | − | 0.976222i | \(-0.569553\pi\) |
−0.749181 | + | 0.662366i | \(0.769553\pi\) | |||||||
\(578\) | 13.0618 | + | 0.948710i | 0.543301 | + | 0.0394611i | ||||
\(579\) | −25.1211 | + | 34.5763i | −1.04400 | + | 1.43694i | ||||
\(580\) | 19.5625 | − | 2.51168i | 0.812289 | − | 0.104292i | ||||
\(581\) | −23.2438 | − | 31.9924i | −0.964315 | − | 1.32727i | ||||
\(582\) | 39.2642 | + | 63.2138i | 1.62755 | + | 2.62030i | ||||
\(583\) | −0.0761160 | − | 0.104765i | −0.00315240 | − | 0.00433891i | ||||
\(584\) | −10.1460 | − | 23.2927i | −0.419844 | − | 0.963857i | ||||
\(585\) | 55.5060 | + | 43.9544i | 2.29489 | + | 1.81729i | ||||
\(586\) | 3.11258 | + | 12.6286i | 0.128580 | + | 0.521683i | ||||
\(587\) | 4.25195 | + | 13.0862i | 0.175497 | + | 0.540123i | 0.999656 | − | 0.0262350i | \(-0.00835183\pi\) |
−0.824159 | + | 0.566358i | \(0.808352\pi\) | |||||||
\(588\) | −11.7854 | − | 1.72108i | −0.486023 | − | 0.0709762i | ||||
\(589\) | 5.03089 | + | 1.63464i | 0.207294 | + | 0.0673540i | ||||
\(590\) | 11.4436 | − | 12.4757i | 0.471127 | − | 0.513615i | ||||
\(591\) | −5.06187 | − | 15.5788i | −0.208217 | − | 0.640827i | ||||
\(592\) | 15.4841 | + | 4.62099i | 0.636394 | + | 0.189922i | ||||
\(593\) | 18.8934i | 0.775861i | 0.921689 | + | 0.387930i | \(0.126810\pi\) | ||||
−0.921689 | + | 0.387930i | \(0.873190\pi\) | |||||||
\(594\) | 4.83551 | + | 1.96883i | 0.198403 | + | 0.0807821i | ||||
\(595\) | 26.7492 | + | 21.1823i | 1.09661 | + | 0.868390i | ||||
\(596\) | 1.53863 | + | 2.93171i | 0.0630248 | + | 0.120088i | ||||
\(597\) | −32.4057 | − | 23.5441i | −1.32628 | − | 0.963598i | ||||
\(598\) | −1.95629 | + | 0.482168i | −0.0799985 | + | 0.0197173i | ||||
\(599\) | 33.9391 | 1.38671 | 0.693356 | − | 0.720595i | \(-0.256131\pi\) | ||||
0.693356 | + | 0.720595i | \(0.256131\pi\) | |||||||
\(600\) | 27.0189 | + | 36.1342i | 1.10304 | + | 1.47517i | ||||
\(601\) | 13.3568 | 0.544836 | 0.272418 | − | 0.962179i | \(-0.412177\pi\) | ||||
0.272418 | + | 0.962179i | \(0.412177\pi\) | |||||||
\(602\) | 44.5993 | − | 10.9924i | 1.81773 | − | 0.448018i | ||||
\(603\) | 8.97979 | + | 6.52420i | 0.365685 | + | 0.265686i | ||||
\(604\) | 24.9043 | − | 13.0704i | 1.01334 | − | 0.531826i | ||||
\(605\) | −8.50407 | + | 22.8970i | −0.345740 | + | 0.930897i | ||||
\(606\) | 81.4336 | + | 33.1565i | 3.30801 | + | 1.34689i | ||||
\(607\) | − | 22.7175i | − | 0.922076i | −0.887380 | − | 0.461038i | \(-0.847477\pi\) | ||
0.887380 | − | 0.461038i | \(-0.152523\pi\) | |||||||
\(608\) | 2.08529 | + | 7.65987i | 0.0845697 | + | 0.310649i | ||||
\(609\) | 12.9468 | + | 39.8462i | 0.524632 | + | 1.61465i | ||||
\(610\) | 6.40052 | − | 1.29877i | 0.259150 | − | 0.0525858i | ||||
\(611\) | 11.9294 | + | 3.87611i | 0.482614 | + | 0.156811i | ||||
\(612\) | −10.6313 | + | 72.8002i | −0.429747 | + | 2.94277i | ||||
\(613\) | 9.25887 | + | 28.4959i | 0.373962 | + | 1.15094i | 0.944176 | + | 0.329441i | \(0.106860\pi\) |
−0.570214 | + | 0.821496i | \(0.693140\pi\) | |||||||
\(614\) | −8.24763 | − | 33.4629i | −0.332847 | − | 1.35045i | ||||
\(615\) | 45.6437 | + | 1.89328i | 1.84053 | + | 0.0763445i | ||||
\(616\) | −2.13832 | + | 0.931425i | −0.0861553 | + | 0.0375282i | ||||
\(617\) | 14.2585 | + | 19.6251i | 0.574025 | + | 0.790077i | 0.993024 | − | 0.117909i | \(-0.0376192\pi\) |
−0.419000 | + | 0.907986i | \(0.637619\pi\) | |||||||
\(618\) | −16.8262 | − | 27.0896i | −0.676851 | − | 1.08970i | ||||
\(619\) | −20.9345 | − | 28.8138i | −0.841428 | − | 1.15813i | −0.985687 | − | 0.168586i | \(-0.946080\pi\) |
0.144259 | − | 0.989540i | \(-0.453920\pi\) | |||||||
\(620\) | −16.5649 | − | 3.12508i | −0.665261 | − | 0.125506i | ||||
\(621\) | −2.53092 | + | 3.48351i | −0.101562 | + | 0.139788i | ||||
\(622\) | −35.3685 | − | 2.56889i | −1.41815 | − | 0.103003i | ||||
\(623\) | −9.09160 | − | 2.95404i | −0.364247 | − | 0.118351i | ||||
\(624\) | −34.1758 | − | 44.7273i | −1.36813 | − | 1.79053i | ||||
\(625\) | 11.5441 | − | 22.1751i | 0.461764 | − | 0.887003i | ||||
\(626\) | −8.14117 | − | 13.1070i | −0.325387 | − | 0.523860i | ||||
\(627\) | 0.383150 | − | 1.17922i | 0.0153016 | − | 0.0470933i | ||||
\(628\) | −16.9393 | + | 8.89013i | −0.675950 | + | 0.354755i | ||||
\(629\) | 12.1681 | − | 16.7480i | 0.485175 | − | 0.667786i | ||||
\(630\) | −45.6919 | + | 49.8125i | −1.82041 | + | 1.98458i | ||||
\(631\) | −5.35186 | + | 3.88835i | −0.213054 | + | 0.154793i | −0.689194 | − | 0.724576i | \(-0.742035\pi\) |
0.476140 | + | 0.879369i | \(0.342035\pi\) | |||||||
\(632\) | 1.51627 | + | 15.6402i | 0.0603140 | + | 0.622134i | ||||
\(633\) | −14.2974 | − | 19.6786i | −0.568270 | − | 0.782156i | ||||
\(634\) | 0.929240 | + | 0.783997i | 0.0369049 | + | 0.0311365i | ||||
\(635\) | 0.125778 | − | 3.03229i | 0.00499135 | − | 0.120333i | ||||
\(636\) | 2.13511 | + | 2.08418i | 0.0846625 | + | 0.0826430i | ||||
\(637\) | −2.54428 | − | 7.83048i | −0.100808 | − | 0.310255i | ||||
\(638\) | 1.32014 | + | 1.11380i | 0.0522647 | + | 0.0440956i | ||||
\(639\) | −21.4217 | + | 65.9293i | −0.847430 | + | 2.60812i | ||||
\(640\) | −9.69966 | − | 23.3649i | −0.383413 | − | 0.923577i | ||||
\(641\) | 6.78939 | + | 20.8956i | 0.268165 | + | 0.825327i | 0.990947 | + | 0.134251i | \(0.0428629\pi\) |
−0.722782 | + | 0.691076i | \(0.757137\pi\) | |||||||
\(642\) | 19.1508 | − | 47.0349i | 0.755820 | − | 1.85632i | ||||
\(643\) | −32.6614 | −1.28804 | −0.644019 | − | 0.765009i | \(-0.722734\pi\) | ||||
−0.644019 | + | 0.765009i | \(0.722734\pi\) | |||||||
\(644\) | −0.323821 | − | 1.89611i | −0.0127603 | − | 0.0747172i | ||||
\(645\) | 27.0928 | − | 72.9469i | 1.06678 | − | 2.87228i | ||||
\(646\) | 10.1437 | + | 0.736756i | 0.399097 | + | 0.0289873i | ||||
\(647\) | −20.5295 | + | 28.2564i | −0.807098 | + | 1.11088i | 0.184666 | + | 0.982801i | \(0.440880\pi\) |
−0.991765 | + | 0.128074i | \(0.959120\pi\) | |||||||
\(648\) | −57.9845 | − | 12.8152i | −2.27785 | − | 0.503429i | ||||
\(649\) | 1.48256 | 0.0581954 | ||||||||
\(650\) | −14.1136 | + | 27.8137i | −0.553580 | + | 1.09094i | ||||
\(651\) | − | 35.8087i | − | 1.40345i | ||||||
\(652\) | 7.86049 | + | 7.67299i | 0.307841 | + | 0.300498i | ||||
\(653\) | 31.5991 | + | 22.9581i | 1.23657 | + | 0.898420i | 0.997365 | − | 0.0725499i | \(-0.0231137\pi\) |
0.239204 | + | 0.970969i | \(0.423114\pi\) | |||||||
\(654\) | −3.12019 | + | 42.9588i | −0.122009 | + | 1.67982i | ||||
\(655\) | −1.11266 | + | 1.40508i | −0.0434754 | + | 0.0549010i | ||||
\(656\) | −24.5449 | − | 7.32502i | −0.958317 | − | 0.285994i | ||||
\(657\) | − | 64.4812i | − | 2.51565i | ||||||
\(658\) | −4.51585 | + | 11.0911i | −0.176046 | + | 0.432375i | ||||
\(659\) | −40.4722 | + | 13.1502i | −1.57657 | + | 0.512260i | −0.961171 | − | 0.275953i | \(-0.911006\pi\) |
−0.615402 | + | 0.788213i | \(0.711006\pi\) | |||||||
\(660\) | −0.732503 | + | 3.88272i | −0.0285126 | + | 0.151135i | ||||
\(661\) | −15.1858 | − | 4.93417i | −0.590660 | − | 0.191917i | −0.00158966 | − | 0.999999i | \(-0.500506\pi\) |
−0.589071 | + | 0.808082i | \(0.700506\pi\) | |||||||
\(662\) | −7.73129 | + | 9.16359i | −0.300485 | + | 0.356153i | ||||
\(663\) | −68.5844 | + | 22.2844i | −2.66360 | + | 0.865455i | ||||
\(664\) | 36.6774 | + | 8.10611i | 1.42336 | + | 0.314578i | ||||
\(665\) | 7.32538 | + | 5.80088i | 0.284066 | + | 0.224948i | ||||
\(666\) | 31.3453 | + | 26.4459i | 1.21461 | + | 1.02476i | ||||
\(667\) | −1.15243 | + | 0.837290i | −0.0446223 | + | 0.0324200i | ||||
\(668\) | 21.5768 | + | 10.6679i | 0.834832 | + | 0.412753i | ||||
\(669\) | −36.1792 | − | 49.7964i | −1.39877 | − | 1.92524i | ||||
\(670\) | −2.02998 | + | 4.44832i | −0.0784250 | + | 0.171854i | ||||
\(671\) | 0.462710 | + | 0.336178i | 0.0178627 | + | 0.0129780i | ||||
\(672\) | 44.9527 | − | 29.4486i | 1.73409 | − | 1.13600i | ||||
\(673\) | −8.44939 | − | 2.74537i | −0.325700 | − | 0.105826i | 0.141603 | − | 0.989924i | \(-0.454774\pi\) |
−0.467303 | + | 0.884097i | \(0.654774\pi\) | |||||||
\(674\) | −12.5427 | − | 20.1933i | −0.483129 | − | 0.777818i | ||||
\(675\) | 15.2768 | + | 64.8806i | 0.588003 | + | 2.49726i | ||||
\(676\) | 5.72259 | − | 11.5745i | 0.220100 | − | 0.445173i | ||||
\(677\) | 7.28520 | − | 22.4216i | 0.279993 | − | 0.861730i | −0.707862 | − | 0.706351i | \(-0.750340\pi\) |
0.987855 | − | 0.155379i | \(-0.0496600\pi\) | |||||||
\(678\) | 3.45418 | − | 47.5572i | 0.132657 | − | 1.82642i | ||||
\(679\) | −39.7323 | − | 28.8672i | −1.52478 | − | 1.10782i | ||||
\(680\) | −32.3608 | + | 1.78778i | −1.24098 | + | 0.0685582i | ||||
\(681\) | 62.1813 | − | 45.1773i | 2.38279 | − | 1.73120i | ||||
\(682\) | −0.778914 | − | 1.25402i | −0.0298261 | − | 0.0480189i | ||||
\(683\) | 20.8468 | − | 15.1461i | 0.797680 | − | 0.579548i | −0.112553 | − | 0.993646i | \(-0.535903\pi\) |
0.910233 | + | 0.414097i | \(0.135903\pi\) | |||||||
\(684\) | −2.91144 | + | 19.9367i | −0.111322 | + | 0.762298i | ||||
\(685\) | 8.97503 | + | 13.4959i | 0.342918 | + | 0.515650i | ||||
\(686\) | −20.9890 | + | 5.17317i | −0.801363 | + | 0.197513i | ||||
\(687\) | 80.1042 | − | 26.0274i | 3.05617 | − | 0.993009i | ||||
\(688\) | −24.7864 | + | 35.9074i | −0.944974 | + | 1.36896i | ||||
\(689\) | −0.637371 | + | 1.96163i | −0.0242819 | + | 0.0747320i | ||||
\(690\) | −2.96456 | − | 1.35287i | −0.112859 | − | 0.0515028i | ||||
\(691\) | 28.3342 | − | 9.20634i | 1.07788 | − | 0.350225i | 0.284330 | − | 0.958726i | \(-0.408229\pi\) |
0.793553 | + | 0.608501i | \(0.208229\pi\) | |||||||
\(692\) | 5.85409 | + | 34.2782i | 0.222539 | + | 1.30306i | ||||
\(693\) | −5.91952 | −0.224864 | ||||||||
\(694\) | 9.40431 | − | 23.0973i | 0.356983 | − | 0.876761i | ||||
\(695\) | 0.0406647 | − | 0.980355i | 0.00154250 | − | 0.0371870i | ||||
\(696\) | −34.3031 | − | 20.1760i | −1.30026 | − | 0.764769i | ||||
\(697\) | −19.2885 | + | 26.5483i | −0.730602 | + | 1.00559i | ||||
\(698\) | 48.3279 | − | 11.9114i | 1.82924 | − | 0.450854i | ||||
\(699\) | − | 77.1621i | − | 2.91854i | ||||||
\(700\) | −25.5080 | − | 15.3625i | −0.964111 | − | 0.580647i | ||||
\(701\) | − | 5.84579i | − | 0.220792i | −0.993888 | − | 0.110396i | \(-0.964788\pi\) | ||
0.993888 | − | 0.110396i | \(-0.0352120\pi\) | |||||||
\(702\) | −19.9004 | − | 80.7415i | −0.751094 | − | 3.04739i | ||||
\(703\) | 3.33230 | − | 4.58651i | 0.125680 | − | 0.172984i | ||||
\(704\) | 0.933675 | − | 2.00911i | 0.0351892 | − | 0.0757211i | ||||
\(705\) | 11.2339 | + | 16.8925i | 0.423092 | + | 0.636208i | ||||
\(706\) | 37.2192 | + | 15.1542i | 1.40076 | + | 0.570336i | ||||
\(707\) | −58.0275 | −2.18235 | ||||||||
\(708\) | −33.6718 | + | 5.75052i | −1.26546 | + | 0.216118i | ||||
\(709\) | −18.5674 | + | 6.03290i | −0.697312 | + | 0.226570i | −0.636159 | − | 0.771558i | \(-0.719478\pi\) |
−0.0611529 | + | 0.998128i | \(0.519478\pi\) | |||||||
\(710\) | −30.3398 | − | 3.47259i | −1.13863 | − | 0.130324i | ||||
\(711\) | −12.3238 | + | 37.9288i | −0.462179 | + | 1.42244i | ||||
\(712\) | 8.32481 | − | 3.62619i | 0.311986 | − | 0.135897i | ||||
\(713\) | 1.15790 | − | 0.376224i | 0.0433637 | − | 0.0140897i | ||||
\(714\) | −16.4758 | − | 66.8468i | −0.616591 | − | 2.50168i | ||||
\(715\) | −2.63046 | + | 0.735664i | −0.0983737 | + | 0.0275123i | ||||
\(716\) | −6.14963 | + | 42.1108i | −0.229822 | + | 1.57375i | ||||
\(717\) | −39.7814 | + | 28.9028i | −1.48566 | + | 1.07940i | ||||
\(718\) | 15.3294 | − | 9.52159i | 0.572088 | − | 0.355342i | ||||
\(719\) | 37.3747 | − | 27.1543i | 1.39384 | − | 1.01268i | 0.398408 | − | 0.917208i | \(-0.369563\pi\) |
0.995432 | − | 0.0954761i | \(-0.0304373\pi\) | |||||||
\(720\) | 1.11172 | − | 64.1968i | 0.0414315 | − | 2.39247i | ||||
\(721\) | 17.0268 | + | 12.3707i | 0.634112 | + | 0.460709i | ||||
\(722\) | −24.0216 | − | 1.74474i | −0.893990 | − | 0.0649324i | ||||
\(723\) | 15.3836 | − | 47.3457i | 0.572121 | − | 1.76081i | ||||
\(724\) | 14.7304 | + | 7.28291i | 0.547450 | + | 0.270667i | ||||
\(725\) | −1.82620 | + | 21.9753i | −0.0678232 | + | 0.816143i | ||||
\(726\) | 41.8658 | − | 26.0043i | 1.55379 | − | 0.965108i | ||||
\(727\) | 6.84600 | + | 2.22440i | 0.253904 | + | 0.0824984i | 0.433204 | − | 0.901296i | \(-0.357383\pi\) |
−0.179300 | + | 0.983795i | \(0.557383\pi\) | |||||||
\(728\) | 32.0212 | + | 18.8338i | 1.18678 | + | 0.698027i | ||||
\(729\) | −18.7064 | − | 13.5910i | −0.692831 | − | 0.503371i | ||||
\(730\) | 27.8380 | − | 5.64879i | 1.03033 | − | 0.209071i | ||||
\(731\) | 32.8556 | + | 45.2219i | 1.21521 | + | 1.67259i | ||||
\(732\) | −11.8130 | − | 5.84053i | −0.436622 | − | 0.215872i | ||||
\(733\) | 22.7156 | − | 16.5038i | 0.839018 | − | 0.609582i | −0.0830781 | − | 0.996543i | \(-0.526475\pi\) |
0.922096 | + | 0.386961i | \(0.126475\pi\) | |||||||
\(734\) | 19.4462 | − | 23.0488i | 0.717772 | − | 0.850746i | ||||
\(735\) | 4.63629 | − | 12.4831i | 0.171012 | − | 0.460446i | ||||
\(736\) | 1.42454 | + | 1.14418i | 0.0525092 | + | 0.0421749i | ||||
\(737\) | −0.407244 | + | 0.132322i | −0.0150010 | + | 0.00487413i | ||||
\(738\) | −49.6874 | − | 41.9211i | −1.82902 | − | 1.54314i | ||||
\(739\) | 37.8363 | + | 12.2937i | 1.39183 | + | 0.452233i | 0.906540 | − | 0.422121i | \(-0.138714\pi\) |
0.485290 | + | 0.874353i | \(0.338714\pi\) | |||||||
\(740\) | −8.67134 | + | 15.8492i | −0.318765 | + | 0.582630i | ||||
\(741\) | −18.7822 | + | 6.10270i | −0.689980 | + | 0.224188i | ||||
\(742\) | −1.82377 | − | 0.742566i | −0.0669526 | − | 0.0272605i | ||||
\(743\) | − | 20.8383i | − | 0.764482i | −0.924063 | − | 0.382241i | \(-0.875152\pi\) | ||
0.924063 | − | 0.382241i | \(-0.124848\pi\) | |||||||
\(744\) | 22.5548 | + | 25.4601i | 0.826898 | + | 0.933411i | ||||
\(745\) | −3.56495 | + | 0.997013i | −0.130610 | + | 0.0365277i | ||||
\(746\) | −16.6052 | − | 1.20607i | −0.607959 | − | 0.0441574i | ||||
\(747\) | 77.1260 | + | 56.0353i | 2.82189 | + | 2.05022i | ||||
\(748\) | −2.03104 | − | 1.98260i | −0.0742623 | − | 0.0724909i | ||||
\(749\) | 33.5159i | 1.22464i | ||||||||
\(750\) | −45.8216 | + | 21.0950i | −1.67317 | + | 0.770282i | ||||
\(751\) | −48.8753 | −1.78348 | −0.891742 | − | 0.452545i | \(-0.850516\pi\) | ||||
−0.891742 | + | 0.452545i | \(0.850516\pi\) | |||||||
\(752\) | −3.77514 | − | 10.7302i | −0.137665 | − | 0.391289i | ||||
\(753\) | −4.86111 | + | 6.69075i | −0.177149 | + | 0.243824i | ||||
\(754\) | 1.99291 | − | 27.4384i | 0.0725774 | − | 0.999247i | ||||
\(755\) | 8.46943 | + | 30.2835i | 0.308234 | + | 1.10213i | ||||
\(756\) | 78.2579 | − | 13.3650i | 2.84621 | − | 0.486081i | ||||
\(757\) | −18.6251 | −0.676942 | −0.338471 | − | 0.940977i | \(-0.609910\pi\) | ||||
−0.338471 | + | 0.940977i | \(0.609910\pi\) | |||||||
\(758\) | −23.9047 | − | 9.73305i | −0.868257 | − | 0.353520i | ||||
\(759\) | −0.0881851 | − | 0.271406i | −0.00320092 | − | 0.00985141i | ||||
\(760\) | −8.86216 | + | 0.489592i | −0.321464 | + | 0.0177594i | ||||
\(761\) | 12.5520 | − | 38.6311i | 0.455009 | − | 1.40037i | −0.416115 | − | 0.909312i | \(-0.636609\pi\) |
0.871124 | − | 0.491063i | \(-0.163391\pi\) | |||||||
\(762\) | −3.94887 | + | 4.68043i | −0.143052 | + | 0.169554i | ||||
\(763\) | −8.78414 | − | 27.0348i | −0.318007 | − | 0.978726i | ||||
\(764\) | 5.07216 | + | 4.95117i | 0.183504 | + | 0.179127i | ||||
\(765\) | −77.1098 | − | 28.6390i | −2.78791 | − | 1.03544i | ||||
\(766\) | −32.8046 | + | 38.8820i | −1.18528 | + | 1.40486i | ||||
\(767\) | −13.8798 | − | 19.1039i | −0.501169 | − | 0.689800i | ||||
\(768\) | −13.4127 | + | 49.2523i | −0.483990 | + | 1.77724i | ||||
\(769\) | 14.8380 | − | 10.7804i | 0.535072 | − | 0.388753i | −0.287179 | − | 0.957877i | \(-0.592718\pi\) |
0.822252 | + | 0.569124i | \(0.192718\pi\) | |||||||
\(770\) | −0.518572 | − | 2.55559i | −0.0186880 | − | 0.0920970i | ||||
\(771\) | 3.73071 | − | 5.13489i | 0.134358 | − | 0.184928i | ||||
\(772\) | 12.4507 | + | 23.7235i | 0.448109 | + | 0.853827i | ||||
\(773\) | −10.0305 | + | 30.8706i | −0.360770 | + | 1.11034i | 0.591817 | + | 0.806072i | \(0.298411\pi\) |
−0.952588 | + | 0.304265i | \(0.901589\pi\) | |||||||
\(774\) | −94.0670 | + | 58.4281i | −3.38117 | + | 2.10016i | ||||
\(775\) | 7.28841 | − | 17.3805i | 0.261807 | − | 0.624325i | ||||
\(776\) | 46.4323 | − | 4.50147i | 1.66682 | − | 0.161593i | ||||
\(777\) | −36.4990 | − | 11.8592i | −1.30939 | − | 0.425448i | ||||
\(778\) | 0.288186 | − | 3.96775i | 0.0103320 | − | 0.142251i | ||||
\(779\) | −5.28223 | + | 7.27037i | −0.189256 | + | 0.260488i | ||||
\(780\) | 56.8896 | − | 26.9114i | 2.03697 | − | 0.963583i | ||||
\(781\) | −1.57192 | − | 2.16357i | −0.0562478 | − | 0.0774185i | ||||
\(782\) | 1.98844 | − | 1.23508i | 0.0711064 | − | 0.0441665i | ||||
\(783\) | −34.5574 | − | 47.5641i | −1.23498 | − | 1.69980i | ||||
\(784\) | −4.24160 | + | 6.14468i | −0.151486 | + | 0.219453i | ||||
\(785\) | −5.76068 | − | 20.5981i | −0.205607 | − | 0.735177i | ||||
\(786\) | 3.51133 | − | 0.865441i | 0.125245 | − | 0.0308693i | ||||
\(787\) | −11.5801 | − | 35.6398i | −0.412785 | − | 1.27042i | −0.914217 | − | 0.405224i | \(-0.867193\pi\) |
0.501432 | − | 0.865197i | \(-0.332807\pi\) | |||||||
\(788\) | −10.1609 | − | 1.48385i | −0.361969 | − | 0.0528600i | ||||
\(789\) | 47.2388 | + | 15.3488i | 1.68174 | + | 0.546432i | ||||
\(790\) | −17.4543 | − | 1.99776i | −0.620996 | − | 0.0710771i | ||||
\(791\) | 9.72441 | + | 29.9287i | 0.345760 | + | 1.06414i | ||||
\(792\) | 4.20880 | − | 3.72852i | 0.149553 | − | 0.132487i | ||||
\(793\) | − | 9.10969i | − | 0.323495i | ||||||
\(794\) | 4.19824 | − | 10.3110i | 0.148990 | − | 0.365925i | ||||
\(795\) | −2.77773 | + | 1.84725i | −0.0985159 | + | 0.0655152i | ||||
\(796\) | −22.2342 | + | 11.6691i | −0.788072 | + | 0.413599i | ||||
\(797\) | 44.1511 | + | 32.0777i | 1.56391 | + | 1.13625i | 0.932707 | + | 0.360636i | \(0.117440\pi\) |
0.631207 | + | 0.775614i | \(0.282560\pi\) | |||||||
\(798\) | −4.51198 | − | 18.3063i | −0.159722 | − | 0.648037i | ||||
\(799\) | −14.5727 | −0.515544 | ||||||||
\(800\) | 27.8126 | − | 5.14392i | 0.983323 | − | 0.181865i | ||||
\(801\) | 23.0456 | 0.814277 | ||||||||
\(802\) | 2.28353 | + | 9.26490i | 0.0806342 | + | 0.327155i | ||||
\(803\) | 2.01248 | + | 1.46215i | 0.0710187 | + | 0.0515981i | ||||
\(804\) | 8.73608 | − | 4.58491i | 0.308098 | − | 0.161697i | ||||
\(805\) | 2.14876 | + | 0.0891296i | 0.0757338 | + | 0.00314141i | ||||
\(806\) | −8.86678 | + | 21.7771i | −0.312319 | + | 0.767066i | ||||
\(807\) | − | 4.21624i | − | 0.148419i | ||||||
\(808\) | 41.2577 | − | 36.5497i | 1.45144 | − | 1.28582i | ||||
\(809\) | −2.50898 | − | 7.72183i | −0.0882109 | − | 0.271485i | 0.897214 | − | 0.441596i | \(-0.145587\pi\) |
−0.985425 | + | 0.170111i | \(0.945587\pi\) | |||||||
\(810\) | 27.5638 | − | 60.4009i | 0.968494 | − | 2.12227i | ||||
\(811\) | 1.71354 | + | 0.556763i | 0.0601705 | + | 0.0195506i | 0.338948 | − | 0.940805i | \(-0.389929\pi\) |
−0.278777 | + | 0.960356i | \(0.589929\pi\) | |||||||
\(812\) | 25.9888 | + | 3.79527i | 0.912029 | + | 0.133188i | ||||
\(813\) | −14.2784 | − | 43.9445i | −0.500766 | − | 1.54120i | ||||
\(814\) | −1.53616 | + | 0.378619i | −0.0538424 | + | 0.0132706i | ||||
\(815\) | −10.2263 | + | 6.80073i | −0.358213 | + | 0.238219i | ||||
\(816\) | 53.8191 | + | 37.1507i | 1.88405 | + | 1.30053i | ||||
\(817\) | 8.99767 | + | 12.3842i | 0.314789 | + | 0.433269i | ||||
\(818\) | −33.1466 | + | 20.5884i | −1.15894 | + | 0.719858i | ||||
\(819\) | 55.4188 | + | 76.2775i | 1.93649 | + | 2.66535i | ||||
\(820\) | 13.7455 | − | 25.1236i | 0.480013 | − | 0.877355i | ||||
\(821\) | −13.9783 | + | 19.2395i | −0.487848 | + | 0.671465i | −0.979989 | − | 0.199051i | \(-0.936214\pi\) |
0.492142 | + | 0.870515i | \(0.336214\pi\) | |||||||
\(822\) | 2.36908 | − | 32.6175i | 0.0826310 | − | 1.13767i | ||||
\(823\) | −22.5499 | − | 7.32692i | −0.786042 | − | 0.255400i | −0.111624 | − | 0.993751i | \(-0.535605\pi\) |
−0.674418 | + | 0.738350i | \(0.735605\pi\) | |||||||
\(824\) | −19.8980 | + | 1.92905i | −0.693181 | + | 0.0672018i | ||||
\(825\) | −4.07389 | − | 1.70837i | −0.141835 | − | 0.0594777i | ||||
\(826\) | 19.1505 | − | 11.8950i | 0.666331 | − | 0.413880i | ||||
\(827\) | −2.73313 | + | 8.41171i | −0.0950402 | + | 0.292504i | −0.987264 | − | 0.159089i | \(-0.949144\pi\) |
0.892224 | + | 0.451593i | \(0.149144\pi\) | |||||||
\(828\) | 2.15499 | + | 4.10611i | 0.0748909 | + | 0.142697i | ||||
\(829\) | 4.69015 | − | 6.45543i | 0.162896 | − | 0.224206i | −0.719765 | − | 0.694218i | \(-0.755750\pi\) |
0.882660 | + | 0.470012i | \(0.155750\pi\) | |||||||
\(830\) | −17.4352 | + | 38.2059i | −0.605183 | + | 1.32615i | ||||
\(831\) | −33.0413 | + | 24.0059i | −1.14619 | + | 0.832755i | ||||
\(832\) | −34.6300 | + | 6.77825i | −1.20058 | + | 0.234993i | ||||
\(833\) | 5.62245 | + | 7.73864i | 0.194806 | + | 0.268128i | ||||
\(834\) | −1.27669 | + | 1.51321i | −0.0442082 | + | 0.0523982i | ||||
\(835\) | −16.7066 | + | 21.0972i | −0.578156 | + | 0.730100i | ||||
\(836\) | −0.556211 | − | 0.542943i | −0.0192370 | − | 0.0187781i | ||||
\(837\) | 15.5279 | + | 47.7898i | 0.536721 | + | 1.65186i | ||||
\(838\) | −22.3529 | + | 26.4940i | −0.772168 | + | 0.915220i | ||||
\(839\) | −14.2160 | + | 43.7523i | −0.490790 | + | 1.51050i | 0.332627 | + | 0.943058i | \(0.392065\pi\) |
−0.823417 | + | 0.567437i | \(0.807935\pi\) | |||||||
\(840\) | 21.6904 | + | 56.0311i | 0.748390 | + | 1.93326i | ||||
\(841\) | 2.95111 | + | 9.08258i | 0.101762 | + | 0.313193i | ||||
\(842\) | −35.5301 | − | 14.4665i | −1.22445 | − | 0.498548i | ||||
\(843\) | 10.0497 | 0.346130 | ||||||||
\(844\) | −15.0308 | + | 2.56699i | −0.517383 | + | 0.0883594i | ||||
\(845\) | 11.3172 | + | 8.96196i | 0.389324 | + | 0.308301i | ||||
\(846\) | 2.09133 | − | 28.7934i | 0.0719014 | − | 0.989939i | ||||
\(847\) | −19.1184 | + | 26.3142i | −0.656917 | + | 0.904168i | ||||
\(848\) | 1.76442 | − | 0.620768i | 0.0605906 | − | 0.0213173i | ||||
\(849\) | 40.2003 | 1.37967 | ||||||||
\(850\) | 5.60897 | − | 35.7989i | 0.192386 | − | 1.22789i | ||||
\(851\) | − | 1.30482i | − | 0.0447287i | ||||||
\(852\) | 44.0935 | + | 43.0417i | 1.51062 | + | 1.47459i | ||||
\(853\) | −37.0549 | − | 26.9220i | −1.26874 | − | 0.921790i | −0.269584 | − | 0.962977i | \(-0.586886\pi\) |
−0.999151 | + | 0.0411867i | \(0.986886\pi\) | |||||||
\(854\) | 8.67419 | + | 0.630025i | 0.296825 | + | 0.0215590i | ||||
\(855\) | −21.1169 | − | 7.84292i | −0.722182 | − | 0.268222i | ||||
\(856\) | −21.1106 | − | 23.8299i | −0.721546 | − | 0.814489i | ||||
\(857\) | − | 46.7189i | − | 1.59589i | −0.602733 | − | 0.797943i | \(-0.705922\pi\) | ||
0.602733 | − | 0.797943i | \(-0.294078\pi\) | |||||||
\(858\) | 5.10444 | + | 2.07833i | 0.174263 | + | 0.0709530i | ||||
\(859\) | −35.3436 | + | 11.4838i | −1.20591 | + | 0.391824i | −0.841932 | − | 0.539584i | \(-0.818582\pi\) |
−0.363978 | + | 0.931408i | \(0.618582\pi\) | |||||||
\(860\) | −33.4653 | − | 35.4923i | −1.14116 | − | 1.21028i | ||||
\(861\) | 57.8569 | + | 18.7988i | 1.97176 | + | 0.640662i | ||||
\(862\) | 9.28163 | + | 7.83088i | 0.316133 | + | 0.266721i | ||||
\(863\) | 47.5068 | − | 15.4359i | 1.61715 | − | 0.525444i | 0.645883 | − | 0.763436i | \(-0.276489\pi\) |
0.971267 | + | 0.237992i | \(0.0764892\pi\) | |||||||
\(864\) | −47.2234 | + | 58.7948i | −1.60657 | + | 2.00024i | ||||
\(865\) | −38.8457 | − | 1.61130i | −1.32079 | − | 0.0547859i | ||||
\(866\) | 26.6929 | − | 31.6380i | 0.907062 | − | 1.07510i | ||||
\(867\) | 23.9019 | − | 17.3657i | 0.811750 | − | 0.589771i | ||||
\(868\) | −20.1228 | − | 9.94899i | −0.683012 | − | 0.337691i | ||||
\(869\) | −0.904318 | − | 1.24469i | −0.0306769 | − | 0.0422231i | ||||
\(870\) | 30.0766 | − | 32.7890i | 1.01969 | − | 1.11165i | ||||
\(871\) | 5.51771 | + | 4.00885i | 0.186960 | + | 0.135835i | ||||
\(872\) | 23.2739 | + | 13.6890i | 0.788155 | + | 0.463567i | ||||
\(873\) | 112.602 | + | 36.5866i | 3.81100 | + | 1.23827i | ||||
\(874\) | 0.544543 | − | 0.338234i | 0.0184194 | − | 0.0114409i | ||||
\(875\) | 22.7582 | − | 24.2980i | 0.769366 | − | 0.821423i | ||||
\(876\) | −51.3787 | − | 25.4024i | −1.73593 | − | 0.858266i | ||||
\(877\) | 8.12444 | − | 25.0044i | 0.274343 | − | 0.844340i | −0.715050 | − | 0.699073i | \(-0.753596\pi\) |
0.989393 | − | 0.145267i | \(-0.0464040\pi\) | |||||||
\(878\) | −18.2012 | − | 1.32199i | −0.614259 | − | 0.0446149i | ||||
\(879\) | 23.7381 | + | 17.2467i | 0.800666 | + | 0.581718i | ||||
\(880\) | 1.97839 | + | 1.49040i | 0.0666916 | + | 0.0502413i | ||||
\(881\) | −13.3185 | + | 9.67642i | −0.448710 | + | 0.326007i | −0.789086 | − | 0.614282i | \(-0.789446\pi\) |
0.340376 | + | 0.940289i | \(0.389446\pi\) | |||||||
\(882\) | −16.0973 | + | 9.99857i | −0.542024 | + | 0.336669i | ||||
\(883\) | 5.10972 | − | 3.71243i | 0.171956 | − | 0.124933i | −0.498479 | − | 0.866902i | \(-0.666108\pi\) |
0.670434 | + | 0.741969i | \(0.266108\pi\) | |||||||
\(884\) | −6.53252 | + | 44.7327i | −0.219712 | + | 1.50452i | ||||
\(885\) | 1.58280 | − | 38.1585i | 0.0532051 | − | 1.28268i | ||||
\(886\) | −0.374877 | − | 1.52098i | −0.0125942 | − | 0.0510982i | ||||
\(887\) | −26.2498 | + | 8.52907i | −0.881381 | + | 0.286378i | −0.714531 | − | 0.699604i | \(-0.753360\pi\) |
−0.166850 | + | 0.985982i | \(0.553360\pi\) | |||||||
\(888\) | 33.4207 | − | 14.5576i | 1.12152 | − | 0.488522i | ||||
\(889\) | 1.24888 | − | 3.84365i | 0.0418860 | − | 0.128912i | ||||
\(890\) | 2.01888 | + | 9.94931i | 0.0676731 | + | 0.333502i | ||||
\(891\) | 5.52971 | − | 1.79671i | 0.185252 | − | 0.0601922i | ||||
\(892\) | −38.0352 | + | 6.49571i | −1.27351 | + | 0.217493i | ||||
\(893\) | −3.99079 | −0.133547 | ||||||||
\(894\) | 6.91783 | + | 2.81667i | 0.231367 | + | 0.0942035i | ||||
\(895\) | −44.6036 | − | 16.5660i | −1.49094 | − | 0.553741i | ||||
\(896\) | −4.05920 | − | 33.4432i | −0.135608 | − | 1.11726i | ||||
\(897\) | −2.67168 | + | 3.67725i | −0.0892047 | + | 0.122780i | ||||
\(898\) | 2.03492 | + | 8.25621i | 0.0679060 | + | 0.275513i | ||||
\(899\) | 16.6237i | 0.554431i | ||||||||
\(900\) | 69.9285 | + | 16.2200i | 2.33095 | + | 0.540668i | ||||
\(901\) | − | 2.39626i | − | 0.0798312i | ||||||
\(902\) | 2.43506 | − | 0.600172i | 0.0810787 | − | 0.0199836i | ||||
\(903\) | 60.9087 | − | 83.8337i | 2.02692 | − | 2.78981i | ||||
\(904\) | −25.7652 | − | 15.1543i | −0.856939 | − | 0.504024i | ||||
\(905\) | −11.4055 | + | 14.4030i | −0.379132 | + | 0.478771i | ||||
\(906\) | 23.9270 | − | 58.7656i | 0.794923 | − | 1.95236i | ||||
\(907\) | 15.5893 | 0.517636 | 0.258818 | − | 0.965926i | \(-0.416667\pi\) | ||||
0.258818 | + | 0.965926i | \(0.416667\pi\) | |||||||
\(908\) | −8.11126 | − | 47.4949i | −0.269182 | − | 1.57617i | ||||
\(909\) | 133.044 | − | 43.2286i | 4.41279 | − | 1.43380i | ||||
\(910\) | −28.0758 | + | 30.6077i | −0.930704 | + | 1.01464i | ||||
\(911\) | 8.96903 | − | 27.6038i | 0.297157 | − | 0.914556i | −0.685331 | − | 0.728232i | \(-0.740342\pi\) |
0.982488 | − | 0.186324i | \(-0.0596575\pi\) | |||||||
\(912\) | 14.7386 | + | 10.1739i | 0.488044 | + | 0.336891i | ||||
\(913\) | −3.49776 | + | 1.13649i | −0.115759 | + | 0.0376123i | ||||
\(914\) | 50.6263 | − | 12.4779i | 1.67457 | − | 0.412733i | ||||
\(915\) | 9.14666 | − | 11.5505i | 0.302379 | − | 0.381846i | ||||
\(916\) | 7.62976 | − | 52.2462i | 0.252094 | − | 1.72626i | ||||
\(917\) | −1.93089 | + | 1.40287i | −0.0637636 | + | 0.0463270i | ||||
\(918\) | 50.9755 | + | 82.0685i | 1.68244 | + | 2.70867i | ||||
\(919\) | 34.5740 | − | 25.1195i | 1.14049 | − | 0.828616i | 0.153304 | − | 0.988179i | \(-0.451009\pi\) |
0.987188 | + | 0.159563i | \(0.0510086\pi\) | |||||||
\(920\) | −1.58392 | + | 1.29007i | −0.0522201 | + | 0.0425322i | ||||
\(921\) | −62.9005 | − | 45.6999i | −2.07264 | − | 1.50586i | ||||
\(922\) | −3.49448 | + | 48.1121i | −0.115085 | + | 1.58449i | ||||
\(923\) | −13.1628 | + | 40.5108i | −0.433258 | + | 1.33343i | ||||
\(924\) | −2.33199 | + | 4.71668i | −0.0767170 | + | 0.155167i | ||||
\(925\) | −15.3017 | − | 13.1850i | −0.503118 | − | 0.433521i | ||||
\(926\) | −31.3641 | − | 50.4949i | −1.03069 | − | 1.65937i | ||||
\(927\) | −48.2544 | − | 15.6788i | −1.58488 | − | 0.514959i | ||||
\(928\) | −20.8687 | + | 13.6711i | −0.685047 | + | 0.448776i | ||||
\(929\) | −7.83492 | − | 5.69240i | −0.257055 | − | 0.186762i | 0.451792 | − | 0.892123i | \(-0.350785\pi\) |
−0.708848 | + | 0.705361i | \(0.750785\pi\) | |||||||
\(930\) | −33.1079 | + | 18.7091i | −1.08565 | + | 0.613496i | ||||
\(931\) | 1.53974 | + | 2.11926i | 0.0504628 | + | 0.0694561i | ||||
\(932\) | −43.3615 | − | 21.4385i | −1.42035 | − | 0.702242i | ||||
\(933\) | −64.7208 | + | 47.0224i | −2.11886 | + | 1.53945i | ||||
\(934\) | 12.4259 | + | 10.4837i | 0.406588 | + | 0.343037i | ||||
\(935\) | 2.64234 | − | 1.75721i | 0.0864138 | − | 0.0574670i | ||||
\(936\) | −87.4478 | − | 19.3269i | −2.85832 | − | 0.631720i | ||||
\(937\) | 45.0827 | − | 14.6482i | 1.47279 | − | 0.478537i | 0.540837 | − | 0.841127i | \(-0.318107\pi\) |
0.931949 | + | 0.362590i | \(0.118107\pi\) | |||||||
\(938\) | −4.19881 | + | 4.97668i | −0.137096 | + | 0.162494i | ||||
\(939\) | −33.1045 | − | 10.7563i | −1.08032 | − | 0.351018i | ||||
\(940\) | 12.6140 | − | 1.61954i | 0.411423 | − | 0.0528236i | ||||
\(941\) | 14.2417 | − | 4.62742i | 0.464267 | − | 0.150850i | −0.0675373 | − | 0.997717i | \(-0.521514\pi\) |
0.531804 | + | 0.846867i | \(0.321514\pi\) | |||||||
\(942\) | −16.2745 | + | 39.9708i | −0.530253 | + | 1.30232i | ||||
\(943\) | 2.06835i | 0.0673549i | ||||||||
\(944\) | −6.12377 | + | 20.5197i | −0.199312 | + | 0.667859i | ||||
\(945\) | −3.67864 | + | 88.6855i | −0.119666 | + | 2.88494i | ||||
\(946\) | 0.309467 | − | 4.26075i | 0.0100617 | − | 0.138529i | ||||
\(947\) | −21.2273 | − | 15.4226i | −0.689796 | − | 0.501166i | 0.186797 | − | 0.982398i | \(-0.440189\pi\) |
−0.876593 | + | 0.481233i | \(0.840189\pi\) | |||||||
\(948\) | 25.3668 | + | 24.7617i | 0.823874 | + | 0.804222i | ||||
\(949\) | − | 39.6210i | − | 1.28615i | ||||||
\(950\) | 1.53604 | − | 9.80370i | 0.0498358 | − | 0.318074i | ||||
\(951\) | 2.74274 | 0.0889394 | ||||||||
\(952\) | −42.1424 | − | 9.31393i | −1.36584 | − | 0.301866i | ||||
\(953\) | −17.5587 | + | 24.1675i | −0.568782 | + | 0.782861i | −0.992410 | − | 0.122975i | \(-0.960756\pi\) |
0.423628 | + | 0.905836i | \(0.360756\pi\) | |||||||
\(954\) | 4.73467 | + | 0.343889i | 0.153291 | + | 0.0111338i | ||||
\(955\) | −6.59877 | + | 4.38832i | −0.213531 | + | 0.142003i | ||||
\(956\) | 5.18929 | + | 30.3856i | 0.167834 | + | 0.982739i | ||||
\(957\) | 3.89651 | 0.125956 | ||||||||
\(958\) | 6.34450 | − | 15.5823i | 0.204982 | − | 0.503441i | ||||
\(959\) | 6.66957 | + | 20.5268i | 0.215371 | + | 0.662845i | ||||
\(960\) | −50.7142 | − | 26.1762i | −1.63679 | − | 0.844832i | ||||
\(961\) | −5.18900 | + | 15.9701i | −0.167387 | + | 0.515164i | ||||
\(962\) | 19.2604 | + | 16.2499i | 0.620980 | + | 0.523919i | ||||
\(963\) | −24.9682 | − | 76.8443i | −0.804590 | − | 2.47627i | ||||
\(964\) | −22.3320 | − | 21.7993i | −0.719264 | − | 0.702107i | ||||
\(965\) | −28.8477 | + | 8.06786i | −0.928640 | + | 0.259713i | ||||
\(966\) | −3.31668 | − | 2.79827i | −0.106712 | − | 0.0900329i | ||||
\(967\) | 15.3115 | + | 21.0745i | 0.492385 | + | 0.677710i | 0.980826 | − | 0.194887i | \(-0.0624340\pi\) |
−0.488440 | + | 0.872597i | \(0.662434\pi\) | |||||||
\(968\) | −2.98127 | − | 30.7516i | −0.0958217 | − | 0.988394i | ||||
\(969\) | 18.5619 | − | 13.4860i | 0.596294 | − | 0.433233i | ||||
\(970\) | −5.93090 | + | 51.8180i | −0.190430 | + | 1.66377i | ||||
\(971\) | −1.38452 | + | 1.90563i | −0.0444314 | + | 0.0611546i | −0.830655 | − | 0.556788i | \(-0.812034\pi\) |
0.786223 | + | 0.617943i | \(0.212034\pi\) | |||||||
\(972\) | −47.7973 | + | 25.0852i | −1.53310 | + | 0.804608i | ||||
\(973\) | 0.403769 | − | 1.24267i | 0.0129442 | − | 0.0398383i | ||||
\(974\) | −16.3209 | − | 26.2760i | −0.522956 | − | 0.841938i | ||||
\(975\) | 16.1264 | + | 68.4890i | 0.516458 | + | 2.19340i | ||||
\(976\) | −6.56421 | + | 5.01565i | −0.210115 | + | 0.160547i | ||||
\(977\) | −8.92406 | − | 2.89960i | −0.285506 | − | 0.0927665i | 0.162763 | − | 0.986665i | \(-0.447959\pi\) |
−0.448269 | + | 0.893899i | \(0.647959\pi\) | |||||||
\(978\) | 24.7155 | + | 1.79514i | 0.790315 | + | 0.0574023i | ||||
\(979\) | −0.522574 | + | 0.719261i | −0.0167015 | + | 0.0229877i | ||||
\(980\) | −5.72679 | − | 6.07366i | −0.182936 | − | 0.194016i | ||||
\(981\) | 40.2801 | + | 55.4407i | 1.28604 | + | 1.77009i | ||||
\(982\) | −2.41626 | − | 3.89008i | −0.0771059 | − | 0.124137i | ||||
\(983\) | 32.0991 | + | 44.1807i | 1.02380 | + | 1.40914i | 0.909503 | + | 0.415698i | \(0.136463\pi\) |
0.114301 | + | 0.993446i | \(0.463537\pi\) | |||||||
\(984\) | −52.9772 | + | 23.0762i | −1.68885 | + | 0.735643i | ||||
\(985\) | 3.99723 | − | 10.7625i | 0.127362 | − | 0.342920i | ||||
\(986\) | 7.64866 | + | 31.0327i | 0.243583 | + | 0.988283i | ||||
\(987\) | 8.34816 | + | 25.6930i | 0.265725 | + | 0.817817i | ||||
\(988\) | −1.78896 | + | 12.2503i | −0.0569145 | + | 0.389733i | ||||
\(989\) | 3.35076 | + | 1.08873i | 0.106548 | + | 0.0346196i | ||||
\(990\) | 3.09280 | + | 5.47306i | 0.0982955 | + | 0.173945i | ||||
\(991\) | 19.1415 | + | 58.9116i | 0.608051 | + | 1.87139i | 0.474273 | + | 0.880378i | \(0.342711\pi\) |
0.133778 | + | 0.991011i | \(0.457289\pi\) | |||||||
\(992\) | 20.5739 | − | 5.60096i | 0.653223 | − | 0.177831i | ||||
\(993\) | 27.0472i | 0.858316i | ||||||||
\(994\) | −37.6638 | − | 15.3352i | −1.19462 | − | 0.486404i | ||||
\(995\) | −7.56139 | − | 27.0368i | −0.239712 | − | 0.857123i | ||||
\(996\) | 75.0328 | − | 39.3790i | 2.37751 | − | 1.24777i | ||||
\(997\) | −24.8911 | − | 18.0845i | −0.788310 | − | 0.572741i | 0.119151 | − | 0.992876i | \(-0.461983\pi\) |
−0.907462 | + | 0.420135i | \(0.861983\pi\) | |||||||
\(998\) | 6.46498 | − | 1.59343i | 0.204645 | − | 0.0504391i | ||||
\(999\) | 53.8537 | 1.70386 |
(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 | 200.2.o.a.29.13 | yes | 112 | |
4.3 | odd | 2 | 800.2.be.a.529.28 | 112 | |||
5.2 | odd | 4 | 1000.2.t.b.101.51 | 224 | |||
5.3 | odd | 4 | 1000.2.t.b.101.6 | 224 | |||
5.4 | even | 2 | 1000.2.o.a.149.16 | 112 | |||
8.3 | odd | 2 | 800.2.be.a.529.1 | 112 | |||
8.5 | even | 2 | inner | 200.2.o.a.29.7 | ✓ | 112 | |
25.6 | even | 5 | 1000.2.o.a.349.22 | 112 | |||
25.8 | odd | 20 | 1000.2.t.b.901.40 | 224 | |||
25.17 | odd | 20 | 1000.2.t.b.901.17 | 224 | |||
25.19 | even | 10 | inner | 200.2.o.a.69.7 | yes | 112 | |
40.13 | odd | 4 | 1000.2.t.b.101.40 | 224 | |||
40.29 | even | 2 | 1000.2.o.a.149.22 | 112 | |||
40.37 | odd | 4 | 1000.2.t.b.101.17 | 224 | |||
100.19 | odd | 10 | 800.2.be.a.369.1 | 112 | |||
200.19 | odd | 10 | 800.2.be.a.369.28 | 112 | |||
200.69 | even | 10 | inner | 200.2.o.a.69.13 | yes | 112 | |
200.117 | odd | 20 | 1000.2.t.b.901.51 | 224 | |||
200.133 | odd | 20 | 1000.2.t.b.901.6 | 224 | |||
200.181 | even | 10 | 1000.2.o.a.349.16 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
200.2.o.a.29.7 | ✓ | 112 | 8.5 | even | 2 | inner | |
200.2.o.a.29.13 | yes | 112 | 1.1 | even | 1 | trivial | |
200.2.o.a.69.7 | yes | 112 | 25.19 | even | 10 | inner | |
200.2.o.a.69.13 | yes | 112 | 200.69 | even | 10 | inner | |
800.2.be.a.369.1 | 112 | 100.19 | odd | 10 | |||
800.2.be.a.369.28 | 112 | 200.19 | odd | 10 | |||
800.2.be.a.529.1 | 112 | 8.3 | odd | 2 | |||
800.2.be.a.529.28 | 112 | 4.3 | odd | 2 | |||
1000.2.o.a.149.16 | 112 | 5.4 | even | 2 | |||
1000.2.o.a.149.22 | 112 | 40.29 | even | 2 | |||
1000.2.o.a.349.16 | 112 | 200.181 | even | 10 | |||
1000.2.o.a.349.22 | 112 | 25.6 | even | 5 | |||
1000.2.t.b.101.6 | 224 | 5.3 | odd | 4 | |||
1000.2.t.b.101.17 | 224 | 40.37 | odd | 4 | |||
1000.2.t.b.101.40 | 224 | 40.13 | odd | 4 | |||
1000.2.t.b.101.51 | 224 | 5.2 | odd | 4 | |||
1000.2.t.b.901.6 | 224 | 200.133 | odd | 20 | |||
1000.2.t.b.901.17 | 224 | 25.17 | odd | 20 | |||
1000.2.t.b.901.40 | 224 | 25.8 | odd | 20 | |||
1000.2.t.b.901.51 | 224 | 200.117 | odd | 20 |