Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(5,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 80]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.u (of order \(45\), degree \(24\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 418.9 |
Dual form | 418.2.u.b.93.3 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.990268 | + | 0.139173i | 0.700225 | + | 0.0984102i | ||||
\(3\) | −0.585803 | + | 2.34953i | −0.338213 | + | 1.35650i | 0.524760 | + | 0.851250i | \(0.324155\pi\) |
−0.862973 | + | 0.505250i | \(0.831400\pi\) | |||||||
\(4\) | 0.961262 | + | 0.275637i | 0.480631 | + | 0.137819i | ||||
\(5\) | 0.126163 | − | 3.61284i | 0.0564218 | − | 1.61571i | −0.560137 | − | 0.828400i | \(-0.689251\pi\) |
0.616558 | − | 0.787309i | \(-0.288526\pi\) | |||||||
\(6\) | −0.907093 | + | 2.24513i | −0.370319 | + | 0.916572i | ||||
\(7\) | 4.27441 | − | 1.90309i | 1.61558 | − | 0.719301i | 0.617825 | − | 0.786316i | \(-0.288014\pi\) |
0.997752 | + | 0.0670150i | \(0.0213475\pi\) | |||||||
\(8\) | 0.913545 | + | 0.406737i | 0.322987 | + | 0.143803i | ||||
\(9\) | −2.52827 | − | 1.34431i | −0.842757 | − | 0.448102i | ||||
\(10\) | 0.627745 | − | 3.56012i | 0.198510 | − | 1.12581i | ||||
\(11\) | −0.225822 | − | 3.30893i | −0.0680880 | − | 0.997679i | ||||
\(12\) | −1.21073 | + | 2.09704i | −0.349507 | + | 0.605364i | ||||
\(13\) | 1.58355 | − | 0.989510i | 0.439197 | − | 0.274441i | −0.292246 | − | 0.956343i | \(-0.594403\pi\) |
0.731443 | + | 0.681902i | \(0.238847\pi\) | |||||||
\(14\) | 4.49767 | − | 1.28969i | 1.20205 | − | 0.344683i | ||||
\(15\) | 8.41455 | + | 2.41283i | 2.17263 | + | 0.622991i | ||||
\(16\) | 0.848048 | + | 0.529919i | 0.212012 | + | 0.132480i | ||||
\(17\) | −5.83279 | + | 3.10135i | −1.41466 | + | 0.752188i | −0.988323 | − | 0.152376i | \(-0.951307\pi\) |
−0.426337 | + | 0.904564i | \(0.640196\pi\) | |||||||
\(18\) | −2.31657 | − | 1.68309i | −0.546022 | − | 0.396708i | ||||
\(19\) | 1.71620 | + | 4.00683i | 0.393723 | + | 0.919229i | ||||
\(20\) | 1.11711 | − | 3.43811i | 0.249793 | − | 0.768784i | ||||
\(21\) | 1.96740 | + | 11.1577i | 0.429322 | + | 2.43481i | ||||
\(22\) | 0.236889 | − | 3.30815i | 0.0505049 | − | 0.705301i | ||||
\(23\) | −0.688692 | + | 0.250663i | −0.143602 | + | 0.0522669i | −0.412821 | − | 0.910812i | \(-0.635457\pi\) |
0.269219 | + | 0.963079i | \(0.413234\pi\) | |||||||
\(24\) | −1.49080 | + | 1.90813i | −0.304308 | + | 0.389496i | ||||
\(25\) | −8.04885 | − | 0.562830i | −1.60977 | − | 0.112566i | ||||
\(26\) | 1.70585 | − | 0.759493i | 0.334544 | − | 0.148949i | ||||
\(27\) | −0.221259 | + | 0.245733i | −0.0425814 | + | 0.0472914i | ||||
\(28\) | 4.63339 | − | 0.651181i | 0.875629 | − | 0.123062i | ||||
\(29\) | −5.09199 | + | 4.91728i | −0.945559 | + | 0.913116i | −0.996330 | − | 0.0855943i | \(-0.972721\pi\) |
0.0507708 | + | 0.998710i | \(0.483832\pi\) | |||||||
\(30\) | 7.99686 | + | 3.56043i | 1.46002 | + | 0.650043i | ||||
\(31\) | −2.93079 | − | 3.25498i | −0.526386 | − | 0.584611i | 0.420051 | − | 0.907501i | \(-0.362012\pi\) |
−0.946437 | + | 0.322890i | \(0.895346\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | 7.90670 | + | 1.40780i | 1.37638 | + | 0.245067i | ||||
\(34\) | −6.20765 | + | 2.25940i | −1.06460 | + | 0.387484i | ||||
\(35\) | −6.33629 | − | 15.6829i | −1.07103 | − | 2.65089i | ||||
\(36\) | −2.05979 | − | 1.98911i | −0.343298 | − | 0.331519i | ||||
\(37\) | 8.70263 | + | 6.32283i | 1.43070 | + | 1.03947i | 0.989885 | + | 0.141870i | \(0.0453114\pi\) |
0.440818 | + | 0.897597i | \(0.354689\pi\) | |||||||
\(38\) | 1.14185 | + | 4.20668i | 0.185233 | + | 0.682414i | ||||
\(39\) | 1.39723 | + | 4.30024i | 0.223736 | + | 0.688590i | ||||
\(40\) | 1.58473 | − | 3.24918i | 0.250568 | − | 0.513740i | ||||
\(41\) | 0.336892 | − | 1.35120i | 0.0526137 | − | 0.211022i | −0.938235 | − | 0.345998i | \(-0.887540\pi\) |
0.990849 | + | 0.134976i | \(0.0430959\pi\) | |||||||
\(42\) | 0.395405 | + | 11.3229i | 0.0610123 | + | 1.74716i | ||||
\(43\) | 2.51366 | + | 0.914897i | 0.383329 | + | 0.139520i | 0.526495 | − | 0.850178i | \(-0.323506\pi\) |
−0.143166 | + | 0.989699i | \(0.545728\pi\) | |||||||
\(44\) | 0.694990 | − | 3.24299i | 0.104774 | − | 0.488899i | ||||
\(45\) | −5.17573 | + | 8.96462i | −0.771552 | + | 1.33637i | ||||
\(46\) | −0.716875 | + | 0.152376i | −0.105697 | + | 0.0224667i | ||||
\(47\) | −0.762316 | − | 1.56298i | −0.111195 | − | 0.227984i | 0.835938 | − | 0.548823i | \(-0.184924\pi\) |
−0.947134 | + | 0.320839i | \(0.896035\pi\) | |||||||
\(48\) | −1.74185 | + | 1.68208i | −0.251414 | + | 0.242788i | ||||
\(49\) | 9.96494 | − | 11.0672i | 1.42356 | − | 1.58103i | ||||
\(50\) | −7.89219 | − | 1.67754i | −1.11612 | − | 0.237239i | ||||
\(51\) | −3.86984 | − | 15.5211i | −0.541886 | − | 2.17339i | ||||
\(52\) | 1.79495 | − | 0.514693i | 0.248915 | − | 0.0713751i | ||||
\(53\) | 0.256964 | + | 7.35849i | 0.0352967 | + | 1.01077i | 0.879838 | + | 0.475275i | \(0.157651\pi\) |
−0.844541 | + | 0.535491i | \(0.820127\pi\) | |||||||
\(54\) | −0.253305 | + | 0.212548i | −0.0344705 | + | 0.0289242i | ||||
\(55\) | −11.9831 | + | 0.398395i | −1.61580 | + | 0.0537195i | ||||
\(56\) | 4.67893 | 0.625248 | ||||||||
\(57\) | −10.4195 | + | 1.68504i | −1.38010 | + | 0.223190i | ||||
\(58\) | −5.72679 | + | 4.16076i | −0.751964 | + | 0.546334i | ||||
\(59\) | −4.08430 | + | 8.37406i | −0.531731 | + | 1.09021i | 0.448762 | + | 0.893652i | \(0.351865\pi\) |
−0.980492 | + | 0.196558i | \(0.937024\pi\) | |||||||
\(60\) | 7.42352 | + | 4.63873i | 0.958372 | + | 0.598857i | ||||
\(61\) | −1.27214 | − | 1.62826i | −0.162880 | − | 0.208478i | 0.699646 | − | 0.714490i | \(-0.253341\pi\) |
−0.862526 | + | 0.506012i | \(0.831119\pi\) | |||||||
\(62\) | −2.44927 | − | 3.63119i | −0.311057 | − | 0.461161i | ||||
\(63\) | −13.3652 | − | 0.934586i | −1.68386 | − | 0.117747i | ||||
\(64\) | 0.669131 | + | 0.743145i | 0.0836413 | + | 0.0928931i | ||||
\(65\) | −3.37515 | − | 5.84593i | −0.418636 | − | 0.725099i | ||||
\(66\) | 7.63383 | + | 2.49450i | 0.939659 | + | 0.307052i | ||||
\(67\) | 1.27521 | − | 7.23208i | 0.155792 | − | 0.883539i | −0.802267 | − | 0.596966i | \(-0.796373\pi\) |
0.958058 | − | 0.286573i | \(-0.0925162\pi\) | |||||||
\(68\) | −6.46169 | + | 1.37347i | −0.783595 | + | 0.166558i | ||||
\(69\) | −0.185503 | − | 1.76494i | −0.0223319 | − | 0.212474i | ||||
\(70\) | −4.09199 | − | 16.4121i | −0.489086 | − | 1.96162i | ||||
\(71\) | 0.0159401 | − | 0.456464i | 0.00189174 | − | 0.0541723i | −0.998078 | − | 0.0619728i | \(-0.980261\pi\) |
0.999970 | + | 0.00780055i | \(0.00248302\pi\) | |||||||
\(72\) | −1.76291 | − | 2.25642i | −0.207761 | − | 0.265922i | ||||
\(73\) | 2.48159 | − | 0.173530i | 0.290449 | − | 0.0203101i | 0.0762110 | − | 0.997092i | \(-0.475718\pi\) |
0.214238 | + | 0.976782i | \(0.431273\pi\) | |||||||
\(74\) | 7.73797 | + | 7.47247i | 0.899520 | + | 0.868657i | ||||
\(75\) | 6.03742 | − | 18.5813i | 0.697142 | − | 2.14558i | ||||
\(76\) | 0.545285 | + | 4.32466i | 0.0625485 | + | 0.496072i | ||||
\(77\) | −7.26245 | − | 13.7140i | −0.827633 | − | 1.56285i | ||||
\(78\) | 0.785158 | + | 4.45285i | 0.0889016 | + | 0.504186i | ||||
\(79\) | −0.0938407 | − | 0.232264i | −0.0105579 | − | 0.0261317i | 0.921813 | − | 0.387635i | \(-0.126708\pi\) |
−0.932371 | + | 0.361504i | \(0.882264\pi\) | |||||||
\(80\) | 2.02150 | − | 2.99700i | 0.226011 | − | 0.335075i | ||||
\(81\) | −5.25139 | − | 7.78551i | −0.583488 | − | 0.865057i | ||||
\(82\) | 0.521664 | − | 1.29116i | 0.0576081 | − | 0.142585i | ||||
\(83\) | 4.94183 | + | 1.05042i | 0.542436 | + | 0.115298i | 0.470978 | − | 0.882145i | \(-0.343901\pi\) |
0.0714588 | + | 0.997444i | \(0.477235\pi\) | |||||||
\(84\) | −1.18429 | + | 11.2677i | −0.129216 | + | 1.22941i | ||||
\(85\) | 10.4688 | + | 21.4642i | 1.13550 | + | 2.32812i | ||||
\(86\) | 2.36187 | + | 1.25583i | 0.254687 | + | 0.135419i | ||||
\(87\) | −8.57038 | − | 14.8443i | −0.918841 | − | 1.59148i | ||||
\(88\) | 1.13956 | − | 3.11471i | 0.121478 | − | 0.332029i | ||||
\(89\) | 5.38480 | + | 4.51838i | 0.570787 | + | 0.478948i | 0.881907 | − | 0.471423i | \(-0.156260\pi\) |
−0.311120 | + | 0.950371i | \(0.600704\pi\) | |||||||
\(90\) | −6.37299 | + | 8.15706i | −0.671772 | + | 0.859830i | ||||
\(91\) | 4.88561 | − | 7.24321i | 0.512151 | − | 0.759294i | ||||
\(92\) | −0.731105 | + | 0.0511238i | −0.0762230 | + | 0.00533003i | ||||
\(93\) | 9.36452 | − | 4.97920i | 0.971056 | − | 0.516319i | ||||
\(94\) | −0.537372 | − | 1.65386i | −0.0554257 | − | 0.170583i | ||||
\(95\) | 14.6925 | − | 5.69483i | 1.50742 | − | 0.584277i | ||||
\(96\) | −1.95900 | + | 1.42330i | −0.199939 | + | 0.145264i | ||||
\(97\) | −14.8282 | − | 2.08396i | −1.50557 | − | 0.211594i | −0.662364 | − | 0.749182i | \(-0.730447\pi\) |
−0.843208 | + | 0.537587i | \(0.819336\pi\) | |||||||
\(98\) | 11.4082 | − | 9.57263i | 1.15240 | − | 0.966982i | ||||
\(99\) | −3.87727 | + | 8.66944i | −0.389680 | + | 0.871311i | ||||
\(100\) | −7.58191 | − | 2.75959i | −0.758191 | − | 0.275959i | ||||
\(101\) | −14.6866 | + | 9.17724i | −1.46138 | + | 0.913169i | −0.461718 | + | 0.887027i | \(0.652767\pi\) |
−0.999658 | + | 0.0261422i | \(0.991678\pi\) | |||||||
\(102\) | −1.67206 | − | 15.9086i | −0.165559 | − | 1.57519i | ||||
\(103\) | −0.179830 | + | 1.71096i | −0.0177191 | + | 0.168586i | −0.999803 | − | 0.0198592i | \(-0.993678\pi\) |
0.982084 | + | 0.188445i | \(0.0603449\pi\) | |||||||
\(104\) | 1.84911 | − | 0.259876i | 0.181320 | − | 0.0254829i | ||||
\(105\) | 40.5591 | − | 5.70021i | 3.95816 | − | 0.556284i | ||||
\(106\) | −0.769640 | + | 7.32264i | −0.0747540 | + | 0.711237i | ||||
\(107\) | −0.491106 | − | 4.67257i | −0.0474771 | − | 0.451714i | −0.992275 | − | 0.124060i | \(-0.960409\pi\) |
0.944798 | − | 0.327654i | \(-0.106258\pi\) | |||||||
\(108\) | −0.280421 | + | 0.175227i | −0.0269835 | + | 0.0168612i | ||||
\(109\) | −6.45352 | − | 2.34889i | −0.618135 | − | 0.224983i | 0.0139240 | − | 0.999903i | \(-0.495568\pi\) |
−0.632059 | + | 0.774920i | \(0.717790\pi\) | |||||||
\(110\) | −11.9219 | − | 1.27321i | −1.13671 | − | 0.121396i | ||||
\(111\) | −19.9537 | + | 16.7431i | −1.89392 | + | 1.58919i | ||||
\(112\) | 4.63339 | + | 0.651181i | 0.437815 | + | 0.0615308i | ||||
\(113\) | 2.84437 | − | 2.06655i | 0.267575 | − | 0.194405i | −0.445905 | − | 0.895081i | \(-0.647118\pi\) |
0.713480 | + | 0.700676i | \(0.247118\pi\) | |||||||
\(114\) | −10.5526 | + | 0.218531i | −0.988343 | + | 0.0204673i | ||||
\(115\) | 0.818718 | + | 2.51975i | 0.0763458 | + | 0.234968i | ||||
\(116\) | −6.25012 | + | 3.32325i | −0.580309 | + | 0.308556i | ||||
\(117\) | −5.33384 | + | 0.372978i | −0.493113 | + | 0.0344818i | ||||
\(118\) | −5.21000 | + | 7.72414i | −0.479619 | + | 0.711064i | ||||
\(119\) | −19.0296 | + | 24.3568i | −1.74444 | + | 2.23278i | ||||
\(120\) | 6.70569 | + | 5.62674i | 0.612143 | + | 0.513649i | ||||
\(121\) | −10.8980 | + | 1.49446i | −0.990728 | + | 0.135860i | ||||
\(122\) | −1.03315 | − | 1.78946i | −0.0935367 | − | 0.162010i | ||||
\(123\) | 2.97733 | + | 1.58307i | 0.268457 | + | 0.142741i | ||||
\(124\) | −1.92007 | − | 3.93672i | −0.172427 | − | 0.353528i | ||||
\(125\) | −1.15951 | + | 11.0320i | −0.103710 | + | 0.986731i | ||||
\(126\) | −13.1051 | − | 2.78557i | −1.16749 | − | 0.248158i | ||||
\(127\) | 1.02343 | − | 2.53309i | 0.0908152 | − | 0.224775i | −0.874940 | − | 0.484232i | \(-0.839099\pi\) |
0.965755 | + | 0.259457i | \(0.0835435\pi\) | |||||||
\(128\) | 0.559193 | + | 0.829038i | 0.0494261 | + | 0.0732773i | ||||
\(129\) | −3.62208 | + | 5.36996i | −0.318907 | + | 0.472799i | ||||
\(130\) | −2.52871 | − | 6.25877i | −0.221782 | − | 0.548931i | ||||
\(131\) | −0.127002 | − | 0.720263i | −0.0110962 | − | 0.0629297i | 0.978757 | − | 0.205024i | \(-0.0657274\pi\) |
−0.989853 | + | 0.142095i | \(0.954616\pi\) | |||||||
\(132\) | 7.21237 | + | 3.53265i | 0.627756 | + | 0.307478i | ||||
\(133\) | 14.9611 | + | 13.8608i | 1.29729 | + | 1.20188i | ||||
\(134\) | 2.26931 | − | 6.98422i | 0.196039 | − | 0.603345i | ||||
\(135\) | 0.859879 | + | 0.830376i | 0.0740066 | + | 0.0714674i | ||||
\(136\) | −6.58995 | + | 0.460814i | −0.565084 | + | 0.0395145i | ||||
\(137\) | 0.882220 | + | 1.12919i | 0.0753732 | + | 0.0964732i | 0.824220 | − | 0.566270i | \(-0.191614\pi\) |
−0.748846 | + | 0.662744i | \(0.769392\pi\) | |||||||
\(138\) | 0.0619348 | − | 1.77358i | 0.00527224 | − | 0.150977i | ||||
\(139\) | 1.64464 | + | 6.59630i | 0.139497 | + | 0.559491i | 0.998843 | + | 0.0480963i | \(0.0153155\pi\) |
−0.859346 | + | 0.511395i | \(0.829129\pi\) | |||||||
\(140\) | −1.76805 | − | 16.8218i | −0.149427 | − | 1.42171i | ||||
\(141\) | 4.11883 | − | 0.875484i | 0.346868 | − | 0.0737290i | ||||
\(142\) | 0.0793124 | − | 0.449803i | 0.00665575 | − | 0.0377466i | ||||
\(143\) | −3.63182 | − | 5.01639i | −0.303708 | − | 0.419491i | ||||
\(144\) | −1.43172 | − | 2.47981i | −0.119310 | − | 0.206651i | ||||
\(145\) | 17.1229 | + | 19.0169i | 1.42198 | + | 1.57927i | ||||
\(146\) | 2.48159 | + | 0.173530i | 0.205378 | + | 0.0143614i | ||||
\(147\) | 20.1652 | + | 29.8961i | 1.66319 | + | 2.46579i | ||||
\(148\) | 6.62269 | + | 8.47666i | 0.544382 | + | 0.696777i | ||||
\(149\) | 13.2028 | + | 8.25000i | 1.08161 | + | 0.675866i | 0.948992 | − | 0.315301i | \(-0.102105\pi\) |
0.132620 | + | 0.991167i | \(0.457661\pi\) | |||||||
\(150\) | 8.56468 | − | 17.5602i | 0.699303 | − | 1.43378i | ||||
\(151\) | 17.5987 | − | 12.7862i | 1.43216 | − | 1.04052i | 0.442549 | − | 0.896745i | \(-0.354074\pi\) |
0.989610 | − | 0.143779i | \(-0.0459256\pi\) | |||||||
\(152\) | −0.0618979 | + | 4.35846i | −0.00502059 | + | 0.353518i | ||||
\(153\) | 18.9160 | 1.52927 | ||||||||
\(154\) | −5.28316 | − | 14.5912i | −0.425729 | − | 1.17580i | ||||
\(155\) | −12.1295 | + | 10.1778i | −0.974261 | + | 0.817502i | ||||
\(156\) | 0.157800 | + | 4.51879i | 0.0126341 | + | 0.361793i | ||||
\(157\) | 1.68715 | − | 0.483783i | 0.134649 | − | 0.0386101i | −0.207636 | − | 0.978206i | \(-0.566577\pi\) |
0.342285 | + | 0.939596i | \(0.388799\pi\) | |||||||
\(158\) | −0.0606025 | − | 0.243064i | −0.00482128 | − | 0.0193371i | ||||
\(159\) | −17.4395 | − | 3.70688i | −1.38304 | − | 0.293975i | ||||
\(160\) | 2.41893 | − | 2.68650i | 0.191233 | − | 0.212386i | ||||
\(161\) | −2.46672 | + | 2.38208i | −0.194405 | + | 0.187734i | ||||
\(162\) | −4.11675 | − | 8.44060i | −0.323443 | − | 0.663156i | ||||
\(163\) | −9.19525 | + | 1.95451i | −0.720228 | + | 0.153089i | −0.553422 | − | 0.832901i | \(-0.686678\pi\) |
−0.166805 | + | 0.985990i | \(0.553345\pi\) | |||||||
\(164\) | 0.696282 | − | 1.20600i | 0.0543705 | − | 0.0941725i | ||||
\(165\) | 6.08370 | − | 28.3880i | 0.473615 | − | 2.21000i | ||||
\(166\) | 4.74755 | + | 1.72797i | 0.368481 | + | 0.134116i | ||||
\(167\) | −0.658831 | − | 18.8665i | −0.0509819 | − | 1.45993i | −0.708084 | − | 0.706128i | \(-0.750440\pi\) |
0.657102 | − | 0.753802i | \(-0.271782\pi\) | |||||||
\(168\) | −2.74093 | + | 10.9933i | −0.211467 | + | 0.848149i | ||||
\(169\) | −4.17033 | + | 8.55045i | −0.320795 | + | 0.657727i | ||||
\(170\) | 7.37967 | + | 22.7123i | 0.565995 | + | 1.74195i | ||||
\(171\) | 1.04738 | − | 12.4374i | 0.0800955 | − | 0.951114i | ||||
\(172\) | 2.16410 | + | 1.57231i | 0.165011 | + | 0.119888i | ||||
\(173\) | 9.74105 | + | 9.40683i | 0.740599 | + | 0.715188i | 0.965847 | − | 0.259114i | \(-0.0834304\pi\) |
−0.225248 | + | 0.974301i | \(0.572319\pi\) | |||||||
\(174\) | −6.42104 | − | 15.8926i | −0.486778 | − | 1.20482i | ||||
\(175\) | −35.4752 | + | 12.9119i | −2.68168 | + | 0.976050i | ||||
\(176\) | 1.56196 | − | 2.92580i | 0.117737 | − | 0.220540i | ||||
\(177\) | −17.2825 | − | 14.5017i | −1.29903 | − | 1.09002i | ||||
\(178\) | 4.70356 | + | 5.22383i | 0.352546 | + | 0.391543i | ||||
\(179\) | 5.79102 | + | 2.57833i | 0.432841 | + | 0.192713i | 0.611579 | − | 0.791184i | \(-0.290535\pi\) |
−0.178738 | + | 0.983897i | \(0.557201\pi\) | |||||||
\(180\) | −7.44621 | + | 7.19073i | −0.555008 | + | 0.535965i | ||||
\(181\) | −13.2719 | + | 1.86525i | −0.986495 | + | 0.138643i | −0.613927 | − | 0.789362i | \(-0.710411\pi\) |
−0.372567 | + | 0.928005i | \(0.621522\pi\) | |||||||
\(182\) | 5.84612 | − | 6.49277i | 0.433343 | − | 0.481276i | ||||
\(183\) | 4.57087 | − | 2.03508i | 0.337888 | − | 0.150438i | ||||
\(184\) | −0.731105 | − | 0.0511238i | −0.0538978 | − | 0.00376890i | ||||
\(185\) | 23.9413 | − | 30.6435i | 1.76020 | − | 2.25295i | ||||
\(186\) | 9.96636 | − | 3.62746i | 0.730769 | − | 0.265978i | ||||
\(187\) | 11.5793 | + | 18.5999i | 0.846764 | + | 1.36016i | ||||
\(188\) | −0.301969 | − | 1.71255i | −0.0220234 | − | 0.124901i | ||||
\(189\) | −0.478101 | + | 1.47144i | −0.0347767 | + | 0.107032i | ||||
\(190\) | 15.3421 | − | 3.59460i | 1.11303 | − | 0.260780i | ||||
\(191\) | −5.31715 | − | 3.86314i | −0.384736 | − | 0.279527i | 0.378559 | − | 0.925577i | \(-0.376420\pi\) |
−0.763295 | + | 0.646050i | \(0.776420\pi\) | |||||||
\(192\) | −2.13802 | + | 1.13680i | −0.154298 | + | 0.0820418i | ||||
\(193\) | −13.7694 | − | 8.60406i | −0.991141 | − | 0.619333i | −0.0655460 | − | 0.997850i | \(-0.520879\pi\) |
−0.925595 | + | 0.378516i | \(0.876434\pi\) | |||||||
\(194\) | −14.3938 | − | 4.12736i | −1.03342 | − | 0.296328i | ||||
\(195\) | 15.7124 | − | 4.50545i | 1.12519 | − | 0.322642i | ||||
\(196\) | 12.6294 | − | 7.89175i | 0.902103 | − | 0.563697i | ||||
\(197\) | 12.6343 | − | 21.8832i | 0.900156 | − | 1.55912i | 0.0728650 | − | 0.997342i | \(-0.476786\pi\) |
0.827291 | − | 0.561774i | \(-0.189881\pi\) | |||||||
\(198\) | −5.04609 | + | 8.04546i | −0.358610 | + | 0.571766i | ||||
\(199\) | 2.62069 | − | 14.8627i | 0.185776 | − | 1.05359i | −0.739178 | − | 0.673510i | \(-0.764786\pi\) |
0.924954 | − | 0.380079i | \(-0.124103\pi\) | |||||||
\(200\) | −7.12407 | − | 3.78793i | −0.503748 | − | 0.267847i | ||||
\(201\) | 16.2449 | + | 7.23272i | 1.14583 | + | 0.510156i | ||||
\(202\) | −15.8209 | + | 7.04394i | −1.11316 | + | 0.495610i | ||||
\(203\) | −12.4072 | + | 30.7090i | −0.870818 | + | 2.15535i | ||||
\(204\) | 0.558261 | − | 15.9865i | 0.0390861 | − | 1.11928i | ||||
\(205\) | −4.83916 | − | 1.38761i | −0.337982 | − | 0.0969146i | ||||
\(206\) | −0.416200 | + | 1.66929i | −0.0289980 | + | 0.116305i | ||||
\(207\) | 2.07817 | + | 0.292067i | 0.144443 | + | 0.0203001i | ||||
\(208\) | 1.86728 | 0.129473 | ||||||||
\(209\) | 12.8707 | − | 6.58361i | 0.890288 | − | 0.455398i | ||||
\(210\) | 40.9577 | 2.82635 | ||||||||
\(211\) | 11.3807 | + | 1.59946i | 0.783483 | + | 0.110111i | 0.519562 | − | 0.854433i | \(-0.326095\pi\) |
0.263921 | + | 0.964544i | \(0.414984\pi\) | |||||||
\(212\) | −1.78126 | + | 7.14426i | −0.122338 | + | 0.490670i | ||||
\(213\) | 1.06314 | + | 0.304849i | 0.0728449 | + | 0.0208879i | ||||
\(214\) | 0.163968 | − | 4.69544i | 0.0112087 | − | 0.320974i | ||||
\(215\) | 3.62250 | − | 8.96601i | 0.247053 | − | 0.611477i | ||||
\(216\) | −0.302079 | + | 0.134494i | −0.0205539 | + | 0.00915118i | ||||
\(217\) | −18.7219 | − | 8.33555i | −1.27093 | − | 0.565854i | ||||
\(218\) | −6.06381 | − | 3.22419i | −0.410693 | − | 0.218369i | ||||
\(219\) | −1.04601 | + | 5.93223i | −0.0706829 | + | 0.400863i | ||||
\(220\) | −11.6287 | − | 2.92003i | −0.784008 | − | 0.196868i | ||||
\(221\) | −6.16768 | + | 10.6827i | −0.414883 | + | 0.718599i | ||||
\(222\) | −22.0897 | + | 13.8032i | −1.48256 | + | 0.926408i | ||||
\(223\) | −7.73638 | + | 2.21837i | −0.518066 | + | 0.148553i | −0.524474 | − | 0.851426i | \(-0.675738\pi\) |
0.00640785 | + | 0.999979i | \(0.497960\pi\) | |||||||
\(224\) | 4.49767 | + | 1.28969i | 0.300514 | + | 0.0861709i | ||||
\(225\) | 19.5930 | + | 12.2431i | 1.30620 | + | 0.816206i | ||||
\(226\) | 3.10429 | − | 1.65058i | 0.206495 | − | 0.109795i | ||||
\(227\) | −20.0424 | − | 14.5617i | −1.33026 | − | 0.966492i | −0.999742 | − | 0.0226931i | \(-0.992776\pi\) |
−0.330520 | − | 0.943799i | \(-0.607224\pi\) | |||||||
\(228\) | −10.4803 | − | 1.25224i | −0.694077 | − | 0.0829313i | ||||
\(229\) | −5.99105 | + | 18.4386i | −0.395900 | + | 1.21845i | 0.532358 | + | 0.846519i | \(0.321306\pi\) |
−0.928258 | + | 0.371936i | \(0.878694\pi\) | |||||||
\(230\) | 0.460068 | + | 2.60918i | 0.0303360 | + | 0.172044i | ||||
\(231\) | 36.4757 | − | 9.02964i | 2.39992 | − | 0.594107i | ||||
\(232\) | −6.65180 | + | 2.42106i | −0.436712 | + | 0.158950i | ||||
\(233\) | 16.7331 | − | 21.4174i | 1.09622 | − | 1.40310i | 0.189240 | − | 0.981931i | \(-0.439398\pi\) |
0.906982 | − | 0.421169i | \(-0.138380\pi\) | |||||||
\(234\) | −5.33384 | − | 0.372978i | −0.348684 | − | 0.0243823i | ||||
\(235\) | −5.74296 | + | 2.55693i | −0.374630 | + | 0.166796i | ||||
\(236\) | −6.23429 | + | 6.92388i | −0.405817 | + | 0.450706i | ||||
\(237\) | 0.600682 | − | 0.0844204i | 0.0390185 | − | 0.00548369i | ||||
\(238\) | −22.2342 | + | 21.4713i | −1.44123 | + | 1.39178i | ||||
\(239\) | 11.4064 | + | 5.07846i | 0.737819 | + | 0.328498i | 0.741008 | − | 0.671497i | \(-0.234348\pi\) |
−0.00318840 | + | 0.999995i | \(0.501015\pi\) | |||||||
\(240\) | 5.85734 | + | 6.50523i | 0.378089 | + | 0.419911i | ||||
\(241\) | −7.70894 | − | 6.46857i | −0.496577 | − | 0.416677i | 0.359800 | − | 0.933030i | \(-0.382845\pi\) |
−0.856376 | + | 0.516352i | \(0.827290\pi\) | |||||||
\(242\) | −10.9999 | − | 0.0367944i | −0.707103 | − | 0.00236524i | ||||
\(243\) | 20.4364 | − | 7.43823i | 1.31099 | − | 0.477163i | ||||
\(244\) | −0.774047 | − | 1.91583i | −0.0495533 | − | 0.122649i | ||||
\(245\) | −38.7267 | − | 37.3980i | −2.47416 | − | 2.38927i | ||||
\(246\) | 2.72803 | + | 1.98203i | 0.173933 | + | 0.126370i | ||||
\(247\) | 6.68247 | + | 4.64680i | 0.425196 | + | 0.295669i | ||||
\(248\) | −1.35350 | − | 4.16563i | −0.0859470 | − | 0.264518i | ||||
\(249\) | −5.36293 | + | 10.9956i | −0.339862 | + | 0.696820i | ||||
\(250\) | −2.68358 | + | 10.7633i | −0.169725 | + | 0.680728i | ||||
\(251\) | −0.781331 | − | 22.3744i | −0.0493172 | − | 1.41226i | −0.731880 | − | 0.681433i | \(-0.761357\pi\) |
0.682563 | − | 0.730827i | \(-0.260865\pi\) | |||||||
\(252\) | −12.5899 | − | 4.58233i | −0.793086 | − | 0.288660i | ||||
\(253\) | 0.984948 | + | 2.22223i | 0.0619232 | + | 0.139710i | ||||
\(254\) | 1.36601 | − | 2.36600i | 0.0857113 | − | 0.148456i | ||||
\(255\) | −56.5634 | + | 12.0229i | −3.54214 | + | 0.752904i | ||||
\(256\) | 0.438371 | + | 0.898794i | 0.0273982 | + | 0.0561746i | ||||
\(257\) | 7.65478 | − | 7.39213i | 0.477492 | − | 0.461108i | −0.416536 | − | 0.909119i | \(-0.636756\pi\) |
0.894028 | + | 0.448011i | \(0.147867\pi\) | |||||||
\(258\) | −4.33419 | + | 4.81360i | −0.269835 | + | 0.299682i | ||||
\(259\) | 49.2315 | + | 10.4645i | 3.05910 | + | 0.650232i | ||||
\(260\) | −1.63305 | − | 6.54979i | −0.101277 | − | 0.406201i | ||||
\(261\) | 19.4843 | − | 5.58702i | 1.20605 | − | 0.345828i | ||||
\(262\) | −0.0255246 | − | 0.730929i | −0.00157691 | − | 0.0451569i | ||||
\(263\) | −8.30395 | + | 6.96784i | −0.512043 | + | 0.429655i | −0.861848 | − | 0.507167i | \(-0.830693\pi\) |
0.349804 | + | 0.936823i | \(0.386248\pi\) | |||||||
\(264\) | 6.65053 | + | 4.50204i | 0.409312 | + | 0.277081i | ||||
\(265\) | 26.6174 | 1.63510 | ||||||||
\(266\) | 12.8865 | + | 15.8080i | 0.790119 | + | 0.969253i | ||||
\(267\) | −13.7705 | + | 10.0048i | −0.842740 | + | 0.612287i | ||||
\(268\) | 3.21924 | − | 6.60043i | 0.196647 | − | 0.403185i | ||||
\(269\) | −11.8113 | − | 7.38051i | −0.720147 | − | 0.449998i | 0.119708 | − | 0.992809i | \(-0.461804\pi\) |
−0.839855 | + | 0.542811i | \(0.817360\pi\) | |||||||
\(270\) | 0.735945 | + | 0.941967i | 0.0447882 | + | 0.0573263i | ||||
\(271\) | 9.20341 | + | 13.6446i | 0.559067 | + | 0.828852i | 0.997555 | − | 0.0698856i | \(-0.0222634\pi\) |
−0.438488 | + | 0.898737i | \(0.644486\pi\) | |||||||
\(272\) | −6.58995 | − | 0.460814i | −0.399575 | − | 0.0279410i | ||||
\(273\) | 14.1561 | + | 15.7220i | 0.856767 | + | 0.951536i | ||||
\(274\) | 0.716482 | + | 1.24098i | 0.0432842 | + | 0.0749705i | ||||
\(275\) | −0.0447558 | + | 26.7602i | −0.00269888 | + | 1.61370i | ||||
\(276\) | 0.308167 | − | 1.74770i | 0.0185494 | − | 0.105199i | ||||
\(277\) | 7.30058 | − | 1.55179i | 0.438649 | − | 0.0932378i | 0.0167069 | − | 0.999860i | \(-0.494682\pi\) |
0.421942 | + | 0.906623i | \(0.361348\pi\) | |||||||
\(278\) | 0.710610 | + | 6.76100i | 0.0426195 | + | 0.405498i | ||||
\(279\) | 3.03416 | + | 12.1693i | 0.181650 | + | 0.728559i | ||||
\(280\) | 0.590308 | − | 16.9042i | 0.0352776 | − | 1.01022i | ||||
\(281\) | 9.28580 | + | 11.8853i | 0.553944 | + | 0.709016i | 0.980737 | − | 0.195333i | \(-0.0625788\pi\) |
−0.426793 | + | 0.904349i | \(0.640357\pi\) | |||||||
\(282\) | 4.20059 | − | 0.293734i | 0.250141 | − | 0.0174916i | ||||
\(283\) | −5.94952 | − | 5.74539i | −0.353662 | − | 0.341528i | 0.496511 | − | 0.868030i | \(-0.334614\pi\) |
−0.850174 | + | 0.526503i | \(0.823503\pi\) | |||||||
\(284\) | 0.141141 | − | 0.434387i | 0.00837518 | − | 0.0257761i | ||||
\(285\) | 4.77323 | + | 37.8565i | 0.282742 | + | 2.24243i | ||||
\(286\) | −2.89833 | − | 5.47302i | −0.171382 | − | 0.323626i | ||||
\(287\) | −1.13144 | − | 6.41672i | −0.0667869 | − | 0.378767i | ||||
\(288\) | −1.07266 | − | 2.65494i | −0.0632074 | − | 0.156444i | ||||
\(289\) | 14.8968 | − | 22.0854i | 0.876283 | − | 1.29914i | ||||
\(290\) | 14.3096 | + | 21.2149i | 0.840290 | + | 1.24578i | ||||
\(291\) | 13.5827 | − | 33.6184i | 0.796233 | − | 1.97075i | ||||
\(292\) | 2.43329 | + | 0.517212i | 0.142398 | + | 0.0302676i | ||||
\(293\) | −0.776623 | + | 7.38908i | −0.0453708 | + | 0.431674i | 0.948133 | + | 0.317874i | \(0.102969\pi\) |
−0.993504 | + | 0.113800i | \(0.963698\pi\) | |||||||
\(294\) | 15.8082 | + | 32.4116i | 0.921952 | + | 1.89028i | ||||
\(295\) | 29.7388 | + | 15.8124i | 1.73146 | + | 0.920634i | ||||
\(296\) | 5.37852 | + | 9.31587i | 0.312620 | + | 0.541474i | ||||
\(297\) | 0.863079 | + | 0.676639i | 0.0500809 | + | 0.0392626i | ||||
\(298\) | 11.9261 | + | 10.0072i | 0.690860 | + | 0.579700i | ||||
\(299\) | −0.842541 | + | 1.07840i | −0.0487254 | + | 0.0623657i | ||||
\(300\) | 10.9252 | − | 16.1973i | 0.630769 | − | 0.935154i | ||||
\(301\) | 12.4855 | − | 0.873075i | 0.719655 | − | 0.0503232i | ||||
\(302\) | 19.2069 | − | 10.2125i | 1.10523 | − | 0.587662i | ||||
\(303\) | −12.9587 | − | 39.8827i | −0.744457 | − | 2.29120i | ||||
\(304\) | −0.667876 | + | 4.30743i | −0.0383053 | + | 0.247048i | ||||
\(305\) | −6.04314 | + | 4.39060i | −0.346029 | + | 0.251405i | ||||
\(306\) | 18.7319 | + | 2.63260i | 1.07083 | + | 0.150496i | ||||
\(307\) | −7.34187 | + | 6.16056i | −0.419023 | + | 0.351602i | −0.827791 | − | 0.561036i | \(-0.810403\pi\) |
0.408768 | + | 0.912638i | \(0.365958\pi\) | |||||||
\(308\) | −3.20103 | − | 15.1845i | −0.182396 | − | 0.865218i | ||||
\(309\) | −3.91461 | − | 1.42480i | −0.222694 | − | 0.0810542i | ||||
\(310\) | −13.4279 | + | 8.39068i | −0.762653 | + | 0.476558i | ||||
\(311\) | 1.34848 | + | 12.8300i | 0.0764655 | + | 0.727521i | 0.963842 | + | 0.266475i | \(0.0858589\pi\) |
−0.887376 | + | 0.461046i | \(0.847474\pi\) | |||||||
\(312\) | −0.472630 | + | 4.49677i | −0.0267574 | + | 0.254580i | ||||
\(313\) | −17.5626 | + | 2.46826i | −0.992696 | + | 0.139514i | −0.616777 | − | 0.787138i | \(-0.711562\pi\) |
−0.375919 | + | 0.926652i | \(0.622673\pi\) | |||||||
\(314\) | 1.73806 | − | 0.244268i | 0.0980844 | − | 0.0137849i | ||||
\(315\) | −5.06270 | + | 48.1684i | −0.285251 | + | 2.71398i | ||||
\(316\) | −0.0261849 | − | 0.249132i | −0.00147301 | − | 0.0140148i | ||||
\(317\) | −22.1911 | + | 13.8666i | −1.24638 | + | 0.778824i | −0.982595 | − | 0.185758i | \(-0.940526\pi\) |
−0.263783 | + | 0.964582i | \(0.584970\pi\) | |||||||
\(318\) | −16.7539 | − | 6.09791i | −0.939511 | − | 0.341954i | ||||
\(319\) | 17.4208 | + | 15.7386i | 0.975378 | + | 0.881193i | ||||
\(320\) | 2.76928 | − | 2.32370i | 0.154807 | − | 0.129899i | ||||
\(321\) | 11.2660 | + | 1.58333i | 0.628807 | + | 0.0883731i | ||||
\(322\) | −2.77423 | + | 2.01560i | −0.154602 | + | 0.112325i | ||||
\(323\) | −22.4368 | − | 18.0485i | −1.24842 | − | 1.00424i | ||||
\(324\) | −2.90199 | − | 8.93139i | −0.161221 | − | 0.496189i | ||||
\(325\) | −13.3027 | + | 7.07315i | −0.737898 | + | 0.392348i | ||||
\(326\) | −9.37778 | + | 0.655758i | −0.519387 | + | 0.0363191i | ||||
\(327\) | 9.29927 | − | 13.7867i | 0.514251 | − | 0.762408i | ||||
\(328\) | 0.857348 | − | 1.09736i | 0.0473391 | − | 0.0605913i | ||||
\(329\) | −6.23294 | − | 5.23006i | −0.343633 | − | 0.288343i | ||||
\(330\) | 9.97534 | − | 27.2651i | 0.549124 | − | 1.50089i | ||||
\(331\) | −5.30493 | − | 9.18841i | −0.291586 | − | 0.505041i | 0.682599 | − | 0.730793i | \(-0.260849\pi\) |
−0.974185 | + | 0.225752i | \(0.927516\pi\) | |||||||
\(332\) | 4.46086 | + | 2.37188i | 0.244821 | + | 0.130174i | ||||
\(333\) | −13.5028 | − | 27.6848i | −0.739948 | − | 1.51712i | ||||
\(334\) | 1.97328 | − | 18.7745i | 0.107973 | − | 1.02730i | ||||
\(335\) | −25.9674 | − | 5.51955i | −1.41875 | − | 0.301565i | ||||
\(336\) | −4.24422 | + | 10.5048i | −0.231541 | + | 0.573085i | ||||
\(337\) | 11.8219 | + | 17.5268i | 0.643982 | + | 0.954743i | 0.999796 | + | 0.0201864i | \(0.00642597\pi\) |
−0.355814 | + | 0.934557i | \(0.615796\pi\) | |||||||
\(338\) | −5.31974 | + | 7.88684i | −0.289356 | + | 0.428988i | ||||
\(339\) | 3.18918 | + | 7.89351i | 0.173213 | + | 0.428717i | ||||
\(340\) | 4.14691 | + | 23.5183i | 0.224898 | + | 1.27546i | ||||
\(341\) | −10.1086 | + | 10.4328i | −0.547414 | + | 0.564969i | ||||
\(342\) | 2.76815 | − | 12.1706i | 0.149684 | − | 0.658112i | ||||
\(343\) | 11.4113 | − | 35.1205i | 0.616154 | − | 1.89633i | ||||
\(344\) | 1.92422 | + | 1.85820i | 0.103747 | + | 0.100187i | ||||
\(345\) | −6.39984 | + | 0.447520i | −0.344556 | + | 0.0240937i | ||||
\(346\) | 8.33708 | + | 10.6710i | 0.448204 | + | 0.573675i | ||||
\(347\) | 0.240847 | − | 6.89695i | 0.0129293 | − | 0.370248i | −0.975631 | − | 0.219419i | \(-0.929584\pi\) |
0.988560 | − | 0.150828i | \(-0.0481941\pi\) | |||||||
\(348\) | −4.14672 | − | 16.6316i | −0.222288 | − | 0.891548i | ||||
\(349\) | −1.12269 | − | 10.6817i | −0.0600962 | − | 0.571777i | −0.982593 | − | 0.185772i | \(-0.940521\pi\) |
0.922497 | − | 0.386005i | \(-0.126145\pi\) | |||||||
\(350\) | −36.9270 | + | 7.84907i | −1.97383 | + | 0.419551i | ||||
\(351\) | −0.107219 | + | 0.608068i | −0.00572292 | + | 0.0324563i | ||||
\(352\) | 1.95395 | − | 2.67994i | 0.104146 | − | 0.142841i | ||||
\(353\) | −10.9398 | − | 18.9483i | −0.582267 | − | 1.00852i | −0.995210 | − | 0.0977594i | \(-0.968832\pi\) |
0.412943 | − | 0.910757i | \(-0.364501\pi\) | |||||||
\(354\) | −15.0960 | − | 16.7659i | −0.802345 | − | 0.891095i | ||||
\(355\) | −1.64712 | − | 0.115178i | −0.0874199 | − | 0.00611299i | ||||
\(356\) | 3.93077 | + | 5.82760i | 0.208330 | + | 0.308862i | ||||
\(357\) | −46.0793 | − | 58.9789i | −2.43878 | − | 3.12149i | ||||
\(358\) | 5.37582 | + | 3.35919i | 0.284121 | + | 0.177539i | ||||
\(359\) | 15.8227 | − | 32.4414i | 0.835092 | − | 1.71219i | 0.143811 | − | 0.989605i | \(-0.454064\pi\) |
0.691280 | − | 0.722587i | \(-0.257047\pi\) | |||||||
\(360\) | −8.37450 | + | 6.08443i | −0.441375 | + | 0.320678i | ||||
\(361\) | −13.1093 | + | 13.7530i | −0.689964 | + | 0.723843i | ||||
\(362\) | −13.4024 | −0.704412 | ||||||||
\(363\) | 2.87281 | − | 26.4806i | 0.150784 | − | 1.38987i | ||||
\(364\) | 6.69284 | − | 5.61596i | 0.350800 | − | 0.294356i | ||||
\(365\) | −0.313850 | − | 8.98749i | −0.0164277 | − | 0.470427i | ||||
\(366\) | 4.80961 | − | 1.37913i | 0.251402 | − | 0.0720885i | ||||
\(367\) | 1.36236 | + | 5.46414i | 0.0711148 | + | 0.285226i | 0.995315 | − | 0.0966816i | \(-0.0308229\pi\) |
−0.924201 | + | 0.381907i | \(0.875267\pi\) | |||||||
\(368\) | −0.716875 | − | 0.152376i | −0.0373697 | − | 0.00794317i | ||||
\(369\) | −2.66818 | + | 2.96331i | −0.138900 | + | 0.154264i | ||||
\(370\) | 27.9730 | − | 27.0133i | 1.45425 | − | 1.40435i | ||||
\(371\) | 15.1022 | + | 30.9642i | 0.784069 | + | 1.60758i | ||||
\(372\) | 10.3742 | − | 2.20511i | 0.537878 | − | 0.114329i | ||||
\(373\) | 6.83775 | − | 11.8433i | 0.354045 | − | 0.613224i | −0.632909 | − | 0.774226i | \(-0.718139\pi\) |
0.986954 | + | 0.161002i | \(0.0514726\pi\) | |||||||
\(374\) | 8.87802 | + | 20.0304i | 0.459071 | + | 1.03575i | ||||
\(375\) | −25.2407 | − | 9.18687i | −1.30343 | − | 0.474408i | ||||
\(376\) | −0.0606893 | − | 1.73791i | −0.00312981 | − | 0.0896261i | ||||
\(377\) | −3.19771 | + | 12.8253i | −0.164690 | + | 0.660537i | ||||
\(378\) | −0.678233 | + | 1.39058i | −0.0348845 | + | 0.0715239i | ||||
\(379\) | 1.05479 | + | 3.24631i | 0.0541809 | + | 0.166752i | 0.974485 | − | 0.224451i | \(-0.0720590\pi\) |
−0.920304 | + | 0.391203i | \(0.872059\pi\) | |||||||
\(380\) | 15.6931 | − | 1.42441i | 0.805038 | − | 0.0730708i | ||||
\(381\) | 5.35203 | + | 3.88848i | 0.274193 | + | 0.199213i | ||||
\(382\) | −4.72776 | − | 4.56554i | −0.241893 | − | 0.233594i | ||||
\(383\) | 1.49928 | + | 3.71086i | 0.0766099 | + | 0.189616i | 0.960629 | − | 0.277835i | \(-0.0896169\pi\) |
−0.884019 | + | 0.467451i | \(0.845172\pi\) | |||||||
\(384\) | −2.27542 | + | 0.828186i | −0.116117 | + | 0.0422632i | ||||
\(385\) | −50.4626 | + | 24.5079i | −2.57181 | + | 1.24904i | ||||
\(386\) | −12.4379 | − | 10.4366i | −0.633073 | − | 0.531211i | ||||
\(387\) | −5.12531 | − | 5.69223i | −0.260534 | − | 0.289352i | ||||
\(388\) | −13.6793 | − | 6.09043i | −0.694463 | − | 0.309195i | ||||
\(389\) | −14.9381 | + | 14.4255i | −0.757390 | + | 0.731403i | −0.969299 | − | 0.245886i | \(-0.920921\pi\) |
0.211908 | + | 0.977290i | \(0.432032\pi\) | |||||||
\(390\) | 16.1865 | − | 2.27486i | 0.819634 | − | 0.115192i | ||||
\(391\) | 3.23960 | − | 3.59794i | 0.163834 | − | 0.181956i | ||||
\(392\) | 13.6049 | − | 6.05727i | 0.687149 | − | 0.305938i | ||||
\(393\) | 1.76668 | + | 0.123538i | 0.0891170 | + | 0.00623167i | ||||
\(394\) | 15.5569 | − | 19.9119i | 0.783745 | − | 1.00315i | ||||
\(395\) | −0.850970 | + | 0.309728i | −0.0428170 | + | 0.0155841i | ||||
\(396\) | −6.11669 | + | 7.26488i | −0.307375 | + | 0.365074i | ||||
\(397\) | 5.06571 | + | 28.7291i | 0.254241 | + | 1.44187i | 0.798014 | + | 0.602639i | \(0.205884\pi\) |
−0.543773 | + | 0.839232i | \(0.683005\pi\) | |||||||
\(398\) | 4.66368 | − | 14.3533i | 0.233769 | − | 0.719467i | ||||
\(399\) | −41.3305 | + | 27.0318i | −2.06911 | + | 1.35328i | ||||
\(400\) | −6.52756 | − | 4.74255i | −0.326378 | − | 0.237127i | ||||
\(401\) | 1.05711 | − | 0.562075i | 0.0527895 | − | 0.0280687i | −0.442867 | − | 0.896587i | \(-0.646039\pi\) |
0.495656 | + | 0.868519i | \(0.334928\pi\) | |||||||
\(402\) | 15.0803 | + | 9.42319i | 0.752135 | + | 0.469986i | ||||
\(403\) | −7.86188 | − | 2.25436i | −0.391628 | − | 0.112298i | ||||
\(404\) | −16.6473 | + | 4.77354i | −0.828234 | + | 0.237492i | ||||
\(405\) | −28.7903 | + | 17.9902i | −1.43060 | + | 0.893939i | ||||
\(406\) | −16.5604 | + | 28.6834i | −0.821877 | + | 1.42353i | ||||
\(407\) | 18.9565 | − | 30.2242i | 0.939641 | − | 1.49816i | ||||
\(408\) | 2.77772 | − | 15.7532i | 0.137518 | − | 0.779901i | ||||
\(409\) | 18.5639 | + | 9.87057i | 0.917923 | + | 0.488069i | 0.860024 | − | 0.510254i | \(-0.170449\pi\) |
0.0578996 | + | 0.998322i | \(0.481560\pi\) | |||||||
\(410\) | −4.59895 | − | 2.04758i | −0.227126 | − | 0.101123i | ||||
\(411\) | −3.16987 | + | 1.41132i | −0.156358 | + | 0.0696151i | ||||
\(412\) | −0.644469 | + | 1.59512i | −0.0317507 | + | 0.0785858i | ||||
\(413\) | −1.52139 | + | 43.5670i | −0.0748628 | + | 2.14379i | ||||
\(414\) | 2.01729 | + | 0.578450i | 0.0991446 | + | 0.0284292i | ||||
\(415\) | 4.41847 | − | 17.7215i | 0.216894 | − | 0.869914i | ||||
\(416\) | 1.84911 | + | 0.259876i | 0.0906602 | + | 0.0127415i | ||||
\(417\) | −16.4616 | −0.806130 | ||||||||
\(418\) | 13.6617 | − | 4.72828i | 0.668218 | − | 0.231268i | ||||
\(419\) | 1.74962 | 0.0854747 | 0.0427373 | − | 0.999086i | \(-0.486392\pi\) | ||||
0.0427373 | + | 0.999086i | \(0.486392\pi\) | |||||||
\(420\) | 40.5591 | + | 5.70021i | 1.97908 | + | 0.278142i | ||||
\(421\) | −7.01640 | + | 28.1412i | −0.341958 | + | 1.37152i | 0.515466 | + | 0.856910i | \(0.327619\pi\) |
−0.857424 | + | 0.514610i | \(0.827937\pi\) | |||||||
\(422\) | 11.0474 | + | 3.16779i | 0.537779 | + | 0.154206i | ||||
\(423\) | −0.173780 | + | 4.97642i | −0.00844949 | + | 0.241962i | ||||
\(424\) | −2.75822 | + | 6.82683i | −0.133951 | + | 0.331540i | ||||
\(425\) | 48.6928 | − | 21.6794i | 2.36195 | − | 1.05161i | ||||
\(426\) | 1.01036 | + | 0.449842i | 0.0489522 | + | 0.0217949i | ||||
\(427\) | −8.53637 | − | 4.53887i | −0.413104 | − | 0.219651i | ||||
\(428\) | 0.815852 | − | 4.62693i | 0.0394357 | − | 0.223651i | ||||
\(429\) | 13.9137 | − | 5.59444i | 0.671758 | − | 0.270102i | ||||
\(430\) | 4.83508 | − | 8.37460i | 0.233168 | − | 0.403859i | ||||
\(431\) | 2.12306 | − | 1.32663i | 0.102264 | − | 0.0639017i | −0.477823 | − | 0.878456i | \(-0.658574\pi\) |
0.580087 | + | 0.814554i | \(0.303018\pi\) | |||||||
\(432\) | −0.317857 | + | 0.0911441i | −0.0152929 | + | 0.00438517i | ||||
\(433\) | 2.42614 | + | 0.695684i | 0.116593 | + | 0.0334324i | 0.333426 | − | 0.942776i | \(-0.391795\pi\) |
−0.216834 | + | 0.976209i | \(0.569573\pi\) | |||||||
\(434\) | −17.3797 | − | 10.8600i | −0.834250 | − | 0.521297i | ||||
\(435\) | −54.7114 | + | 29.0906i | −2.62321 | + | 1.39479i | ||||
\(436\) | −5.55608 | − | 4.03673i | −0.266088 | − | 0.193324i | ||||
\(437\) | −2.18630 | − | 2.32928i | −0.104585 | − | 0.111425i | ||||
\(438\) | −1.86144 | + | 5.72892i | −0.0889430 | + | 0.273738i | ||||
\(439\) | −4.20289 | − | 23.8358i | −0.200593 | − | 1.13762i | −0.904225 | − | 0.427055i | \(-0.859551\pi\) |
0.703632 | − | 0.710564i | \(-0.251560\pi\) | |||||||
\(440\) | −11.1092 | − | 4.51002i | −0.529608 | − | 0.215007i | ||||
\(441\) | −40.0717 | + | 14.5849i | −1.90818 | + | 0.694520i | ||||
\(442\) | −7.59441 | + | 9.72040i | −0.361229 | + | 0.462352i | ||||
\(443\) | 9.38136 | + | 0.656009i | 0.445722 | + | 0.0311679i | 0.290854 | − | 0.956767i | \(-0.406060\pi\) |
0.154868 | + | 0.987935i | \(0.450505\pi\) | |||||||
\(444\) | −23.7957 | + | 10.5945i | −1.12930 | + | 0.502795i | ||||
\(445\) | 17.0035 | − | 18.8843i | 0.806045 | − | 0.895204i | ||||
\(446\) | −7.96983 | + | 1.12009i | −0.377382 | + | 0.0530376i | ||||
\(447\) | −27.1178 | + | 26.1874i | −1.28263 | + | 1.23862i | ||||
\(448\) | 4.27441 | + | 1.90309i | 0.201947 | + | 0.0899126i | ||||
\(449\) | −7.37221 | − | 8.18767i | −0.347916 | − | 0.386400i | 0.543634 | − | 0.839323i | \(-0.317048\pi\) |
−0.891550 | + | 0.452922i | \(0.850381\pi\) | |||||||
\(450\) | 17.6985 | + | 14.8508i | 0.834313 | + | 0.700072i | ||||
\(451\) | −4.54710 | − | 0.809620i | −0.214115 | − | 0.0381235i | ||||
\(452\) | 3.30380 | − | 1.20248i | 0.155398 | − | 0.0565601i | ||||
\(453\) | 19.7321 | + | 48.8387i | 0.927096 | + | 2.29464i | ||||
\(454\) | −17.8208 | − | 17.2093i | −0.836371 | − | 0.807674i | ||||
\(455\) | −25.5521 | − | 18.5647i | −1.19790 | − | 0.870327i | ||||
\(456\) | −10.2041 | − | 2.69863i | −0.477849 | − | 0.126375i | ||||
\(457\) | −2.52587 | − | 7.77382i | −0.118155 | − | 0.363644i | 0.874437 | − | 0.485139i | \(-0.161231\pi\) |
−0.992592 | + | 0.121495i | \(0.961231\pi\) | |||||||
\(458\) | −8.49890 | + | 17.4253i | −0.397128 | + | 0.814232i | ||||
\(459\) | 0.528454 | − | 2.11951i | 0.0246661 | − | 0.0989304i | ||||
\(460\) | 0.0924637 | + | 2.64781i | 0.00431114 | + | 0.123455i | ||||
\(461\) | 32.3044 | + | 11.7578i | 1.50457 | + | 0.547617i | 0.957238 | − | 0.289301i | \(-0.0934228\pi\) |
0.547328 | + | 0.836918i | \(0.315645\pi\) | |||||||
\(462\) | 37.3774 | − | 3.86533i | 1.73895 | − | 0.179831i | ||||
\(463\) | 13.8706 | − | 24.0246i | 0.644621 | − | 1.11652i | −0.339768 | − | 0.940509i | \(-0.610348\pi\) |
0.984389 | − | 0.176007i | \(-0.0563182\pi\) | |||||||
\(464\) | −6.92402 | + | 1.47175i | −0.321439 | + | 0.0683241i | ||||
\(465\) | −16.8076 | − | 34.4607i | −0.779434 | − | 1.59808i | ||||
\(466\) | 19.5510 | − | 18.8802i | 0.905682 | − | 0.874607i | ||||
\(467\) | −16.1604 | + | 17.9479i | −0.747814 | + | 0.830532i | −0.990201 | − | 0.139648i | \(-0.955403\pi\) |
0.242387 | + | 0.970180i | \(0.422070\pi\) | |||||||
\(468\) | −5.23002 | − | 1.11167i | −0.241758 | − | 0.0513872i | ||||
\(469\) | −8.31253 | − | 33.3397i | −0.383837 | − | 1.53949i | ||||
\(470\) | −6.04293 | + | 1.73278i | −0.278739 | + | 0.0799273i | ||||
\(471\) | 0.148323 | + | 4.24741i | 0.00683435 | + | 0.195710i | ||||
\(472\) | −7.13723 | + | 5.98885i | −0.328518 | + | 0.275659i | ||||
\(473\) | 2.45969 | − | 8.52412i | 0.113097 | − | 0.391939i | ||||
\(474\) | 0.606585 | 0.0278614 | ||||||||
\(475\) | −11.5583 | − | 33.2163i | −0.530329 | − | 1.52407i | ||||
\(476\) | −25.0061 | + | 18.1680i | −1.14615 | + | 0.832728i | ||||
\(477\) | 9.24238 | − | 18.9497i | 0.423179 | − | 0.867646i | ||||
\(478\) | 10.5886 | + | 6.61650i | 0.484312 | + | 0.302632i | ||||
\(479\) | −6.49378 | − | 8.31166i | −0.296708 | − | 0.379770i | 0.616436 | − | 0.787405i | \(-0.288576\pi\) |
−0.913145 | + | 0.407635i | \(0.866354\pi\) | |||||||
\(480\) | 4.89498 | + | 7.25711i | 0.223424 | + | 0.331240i | ||||
\(481\) | 20.0375 | + | 1.40116i | 0.913632 | + | 0.0638874i | ||||
\(482\) | −6.73367 | − | 7.47850i | −0.306710 | − | 0.340636i | ||||
\(483\) | −4.15175 | − | 7.19105i | −0.188911 | − | 0.327204i | ||||
\(484\) | −10.8878 | − | 1.56733i | −0.494899 | − | 0.0712424i | ||||
\(485\) | −9.39978 | + | 53.3088i | −0.426822 | + | 2.42063i | ||||
\(486\) | 21.2727 | − | 4.52165i | 0.964949 | − | 0.205106i | ||||
\(487\) | 0.362918 | + | 3.45293i | 0.0164454 | + | 0.156467i | 0.999663 | − | 0.0259709i | \(-0.00826774\pi\) |
−0.983217 | + | 0.182438i | \(0.941601\pi\) | |||||||
\(488\) | −0.499882 | − | 2.00492i | −0.0226286 | − | 0.0907583i | ||||
\(489\) | 0.794428 | − | 22.7495i | 0.0359253 | − | 1.02877i | ||||
\(490\) | −33.1451 | − | 42.4237i | −1.49734 | − | 1.91651i | ||||
\(491\) | 15.5634 | − | 1.08830i | 0.702367 | − | 0.0491143i | 0.285892 | − | 0.958262i | \(-0.407710\pi\) |
0.416474 | + | 0.909148i | \(0.363266\pi\) | |||||||
\(492\) | 2.42564 | + | 2.34241i | 0.109356 | + | 0.105604i | ||||
\(493\) | 14.4503 | − | 44.4735i | 0.650810 | − | 2.00299i | ||||
\(494\) | 5.97073 | + | 5.53160i | 0.268636 | + | 0.248878i | ||||
\(495\) | 30.8321 | + | 15.1017i | 1.38580 | + | 0.678771i | ||||
\(496\) | −0.760579 | − | 4.31346i | −0.0341510 | − | 0.193680i | ||||
\(497\) | −0.800558 | − | 1.98145i | −0.0359099 | − | 0.0888802i | ||||
\(498\) | −6.84103 | + | 10.1422i | −0.306554 | + | 0.454485i | ||||
\(499\) | 12.0564 | + | 17.8743i | 0.539718 | + | 0.800165i | 0.995970 | − | 0.0896858i | \(-0.0285863\pi\) |
−0.456252 | + | 0.889851i | \(0.650809\pi\) | |||||||
\(500\) | −4.15542 | + | 10.2850i | −0.185836 | + | 0.459960i | ||||
\(501\) | 44.7132 | + | 9.50408i | 1.99764 | + | 0.424611i | ||||
\(502\) | 2.34019 | − | 22.2654i | 0.104448 | − | 0.993753i | ||||
\(503\) | −1.11288 | − | 2.28174i | −0.0496207 | − | 0.101738i | 0.872543 | − | 0.488537i | \(-0.162469\pi\) |
−0.922164 | + | 0.386800i | \(0.873580\pi\) | |||||||
\(504\) | −11.8296 | − | 6.28991i | −0.526932 | − | 0.280175i | ||||
\(505\) | 31.3029 | + | 54.2183i | 1.39296 | + | 2.41268i | ||||
\(506\) | 0.666089 | + | 2.33768i | 0.0296113 | + | 0.103922i | ||||
\(507\) | −17.6465 | − | 14.8072i | −0.783710 | − | 0.657611i | ||||
\(508\) | 1.68200 | − | 2.15287i | 0.0746268 | − | 0.0955180i | ||||
\(509\) | 13.5368 | − | 20.0691i | 0.600006 | − | 0.889546i | −0.399626 | − | 0.916678i | \(-0.630860\pi\) |
0.999632 | + | 0.0271326i | \(0.00863763\pi\) | |||||||
\(510\) | −57.6862 | + | 4.03381i | −2.55439 | + | 0.178620i | ||||
\(511\) | 10.2771 | − | 5.46444i | 0.454633 | − | 0.241733i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −1.36434 | − | 0.464820i | −0.0602369 | − | 0.0205223i | ||||
\(514\) | 8.60907 | − | 6.25485i | 0.379730 | − | 0.275890i | ||||
\(515\) | 6.15875 | + | 0.865555i | 0.271387 | + | 0.0381409i | ||||
\(516\) | −4.96193 | + | 4.16356i | −0.218437 | + | 0.183290i | ||||
\(517\) | −4.99964 | + | 2.87540i | −0.219884 | + | 0.126460i | ||||
\(518\) | 47.2961 | + | 17.2144i | 2.07807 | + | 0.756355i | ||||
\(519\) | −27.8079 | + | 17.3763i | −1.22063 | + | 0.762736i | ||||
\(520\) | −0.705599 | − | 6.71332i | −0.0309426 | − | 0.294399i | ||||
\(521\) | −1.42369 | + | 13.5455i | −0.0623729 | + | 0.593438i | 0.918040 | + | 0.396487i | \(0.129771\pi\) |
−0.980413 | + | 0.196951i | \(0.936896\pi\) | |||||||
\(522\) | 20.0722 | − | 2.82096i | 0.878536 | − | 0.123470i | ||||
\(523\) | −14.9096 | + | 2.09540i | −0.651950 | + | 0.0916256i | −0.457392 | − | 0.889265i | \(-0.651216\pi\) |
−0.194558 | + | 0.980891i | \(0.562327\pi\) | |||||||
\(524\) | 0.0764494 | − | 0.727368i | 0.00333971 | − | 0.0317752i | ||||
\(525\) | −9.55543 | − | 90.9139i | −0.417033 | − | 3.96781i | ||||
\(526\) | −9.19287 | + | 5.74434i | −0.400828 | + | 0.250465i | ||||
\(527\) | 27.1895 | + | 9.89618i | 1.18439 | + | 0.431084i | ||||
\(528\) | 5.95924 | + | 5.38380i | 0.259343 | + | 0.234300i | ||||
\(529\) | −17.2076 | + | 14.4389i | −0.748155 | + | 0.627776i | ||||
\(530\) | 26.3584 | + | 3.70443i | 1.14494 | + | 0.160910i | ||||
\(531\) | 21.5835 | − | 15.6813i | 0.936644 | − | 0.680512i | ||||
\(532\) | 10.5610 | + | 17.4476i | 0.457877 | + | 0.756452i | ||||
\(533\) | −0.803541 | − | 2.47304i | −0.0348052 | − | 0.107119i | ||||
\(534\) | −15.0289 | + | 7.99100i | −0.650363 | + | 0.345804i | ||||
\(535\) | −16.9432 | + | 1.18478i | −0.732517 | + | 0.0512226i | ||||
\(536\) | 4.10651 | − | 6.08816i | 0.177374 | − | 0.262968i | ||||
\(537\) | −9.45024 | + | 12.0958i | −0.407808 | + | 0.521970i | ||||
\(538\) | −10.6692 | − | 8.95250i | −0.459981 | − | 0.385970i | ||||
\(539\) | −38.8708 | − | 30.4741i | −1.67429 | − | 1.31261i | ||||
\(540\) | 0.597686 | + | 1.03522i | 0.0257203 | + | 0.0445489i | ||||
\(541\) | 0.0372897 | + | 0.0198273i | 0.00160321 | + | 0.000852441i | 0.470273 | − | 0.882521i | \(-0.344155\pi\) |
−0.468670 | + | 0.883373i | \(0.655267\pi\) | |||||||
\(542\) | 7.21488 | + | 14.7927i | 0.309906 | + | 0.635401i | ||||
\(543\) | 3.39228 | − | 32.2754i | 0.145577 | − | 1.38507i | ||||
\(544\) | −6.46169 | − | 1.37347i | −0.277043 | − | 0.0588872i | ||||
\(545\) | −9.30035 | + | 23.0192i | −0.398383 | + | 0.986033i | ||||
\(546\) | 11.8303 | + | 17.5391i | 0.506289 | + | 0.750604i | ||||
\(547\) | 9.09282 | − | 13.4807i | 0.388781 | − | 0.576391i | −0.582943 | − | 0.812513i | \(-0.698099\pi\) |
0.971723 | + | 0.236122i | \(0.0758766\pi\) | |||||||
\(548\) | 0.536797 | + | 1.32862i | 0.0229308 | + | 0.0567558i | ||||
\(549\) | 1.02743 | + | 5.82683i | 0.0438495 | + | 0.248683i | ||||
\(550\) | −3.76862 | + | 26.4935i | −0.160694 | + | 1.12969i | ||||
\(551\) | −28.4416 | − | 11.9637i | −1.21165 | − | 0.509671i | ||||
\(552\) | 0.548400 | − | 1.68780i | 0.0233415 | − | 0.0718376i | ||||
\(553\) | −0.843133 | − | 0.814204i | −0.0358537 | − | 0.0346235i | ||||
\(554\) | 7.44550 | − | 0.520640i | 0.316329 | − | 0.0221199i | ||||
\(555\) | 57.9728 | + | 74.2017i | 2.46081 | + | 3.14969i | ||||
\(556\) | −0.237255 | + | 6.79410i | −0.0100619 | + | 0.288134i | ||||
\(557\) | −6.98069 | − | 27.9980i | −0.295781 | − | 1.18631i | −0.915770 | − | 0.401703i | \(-0.868418\pi\) |
0.619989 | − | 0.784611i | \(-0.287137\pi\) | |||||||
\(558\) | 1.31098 | + | 12.4732i | 0.0554984 | + | 0.528032i | ||||
\(559\) | 4.88579 | − | 1.03851i | 0.206647 | − | 0.0439242i | ||||
\(560\) | 2.93717 | − | 16.6575i | 0.124118 | − | 0.703909i | ||||
\(561\) | −50.4842 | + | 16.3100i | −2.13145 | + | 0.688610i | ||||
\(562\) | 7.54132 | + | 13.0619i | 0.318111 | + | 0.550985i | ||||
\(563\) | 9.88313 | + | 10.9763i | 0.416524 | + | 0.462597i | 0.914495 | − | 0.404597i | \(-0.132588\pi\) |
−0.497971 | + | 0.867194i | \(0.665921\pi\) | |||||||
\(564\) | 4.20059 | + | 0.293734i | 0.176877 | + | 0.0123684i | ||||
\(565\) | −7.10726 | − | 10.5370i | −0.299005 | − | 0.443293i | ||||
\(566\) | −5.09202 | − | 6.51749i | −0.214034 | − | 0.273950i | ||||
\(567\) | −37.2632 | − | 23.2846i | −1.56491 | − | 0.977862i | ||||
\(568\) | 0.200222 | − | 0.410517i | 0.00840115 | − | 0.0172249i | ||||
\(569\) | −13.9055 | + | 10.1029i | −0.582949 | + | 0.423538i | −0.839786 | − | 0.542917i | \(-0.817320\pi\) |
0.256837 | + | 0.966455i | \(0.417320\pi\) | |||||||
\(570\) | −0.541833 | + | 38.1524i | −0.0226949 | + | 1.59803i | ||||
\(571\) | 34.4591 | 1.44207 | 0.721035 | − | 0.692899i | \(-0.243667\pi\) | ||||
0.721035 | + | 0.692899i | \(0.243667\pi\) | |||||||
\(572\) | −2.10842 | − | 5.82313i | −0.0881576 | − | 0.243477i | ||||
\(573\) | 12.1913 | − | 10.2298i | 0.509301 | − | 0.427354i | ||||
\(574\) | −0.227395 | − | 6.51174i | −0.00949128 | − | 0.271795i | ||||
\(575\) | 5.68426 | − | 1.62993i | 0.237050 | − | 0.0679729i | ||||
\(576\) | −0.692730 | − | 2.77839i | −0.0288637 | − | 0.115766i | ||||
\(577\) | −29.9010 | − | 6.35566i | −1.24480 | − | 0.264590i | −0.462007 | − | 0.886876i | \(-0.652871\pi\) |
−0.782790 | + | 0.622286i | \(0.786204\pi\) | |||||||
\(578\) | 17.8255 | − | 19.7973i | 0.741444 | − | 0.823457i | ||||
\(579\) | 28.2816 | − | 27.3112i | 1.17534 | − | 1.13502i | ||||
\(580\) | 11.2178 | + | 22.9999i | 0.465795 | + | 0.955021i | ||||
\(581\) | 23.1225 | − | 4.91483i | 0.959282 | − | 0.203902i | ||||
\(582\) | 18.1293 | − | 31.4009i | 0.751484 | − | 1.30161i | ||||
\(583\) | 24.2907 | − | 2.51199i | 1.00602 | − | 0.104036i | ||||
\(584\) | 2.33763 | + | 0.850828i | 0.0967318 | + | 0.0352075i | ||||
\(585\) | 0.674576 | + | 19.3173i | 0.0278903 | + | 0.798673i | ||||
\(586\) | −1.79743 | + | 7.20908i | −0.0742510 | + | 0.297804i | ||||
\(587\) | −1.55196 | + | 3.18200i | −0.0640564 | + | 0.131335i | −0.928420 | − | 0.371532i | \(-0.878833\pi\) |
0.864364 | + | 0.502867i | \(0.167721\pi\) | |||||||
\(588\) | 11.1435 | + | 34.2962i | 0.459551 | + | 1.41435i | ||||
\(589\) | 8.01230 | − | 17.3294i | 0.330141 | − | 0.714044i | ||||
\(590\) | 27.2487 | + | 19.7974i | 1.12181 | + | 0.815045i | ||||
\(591\) | 44.0140 | + | 42.5039i | 1.81050 | + | 1.74838i | ||||
\(592\) | 4.02966 | + | 9.97375i | 0.165618 | + | 0.409919i | ||||
\(593\) | −15.8774 | + | 5.77890i | −0.652007 | + | 0.237311i | −0.646782 | − | 0.762675i | \(-0.723885\pi\) |
−0.00522522 | + | 0.999986i | \(0.501663\pi\) | |||||||
\(594\) | 0.760510 | + | 0.790171i | 0.0312041 | + | 0.0324211i | ||||
\(595\) | 85.5963 | + | 71.8238i | 3.50910 | + | 2.94449i | ||||
\(596\) | 10.4173 | + | 11.5696i | 0.426709 | + | 0.473909i | ||||
\(597\) | 33.3851 | + | 14.8640i | 1.36636 | + | 0.608343i | ||||
\(598\) | −0.984427 | + | 0.950650i | −0.0402562 | + | 0.0388750i | ||||
\(599\) | 28.6949 | − | 4.03280i | 1.17244 | − | 0.164776i | 0.474053 | − | 0.880496i | \(-0.342790\pi\) |
0.698387 | + | 0.715721i | \(0.253902\pi\) | |||||||
\(600\) | 13.0732 | − | 14.5192i | 0.533709 | − | 0.592744i | ||||
\(601\) | −41.0796 | + | 18.2898i | −1.67567 | + | 0.746058i | −0.675713 | + | 0.737164i | \(0.736164\pi\) |
−0.999960 | + | 0.00889361i | \(0.997169\pi\) | |||||||
\(602\) | 12.4855 | + | 0.873075i | 0.508873 | + | 0.0355839i | ||||
\(603\) | −12.9462 | + | 16.5704i | −0.527210 | + | 0.674798i | ||||
\(604\) | 20.4413 | − | 7.44001i | 0.831743 | − | 0.302730i | ||||
\(605\) | 4.02431 | + | 39.5613i | 0.163611 | + | 1.60839i | ||||
\(606\) | −7.28197 | − | 41.2981i | −0.295810 | − | 1.67762i | ||||
\(607\) | −3.01532 | + | 9.28019i | −0.122388 | + | 0.376671i | −0.993416 | − | 0.114562i | \(-0.963454\pi\) |
0.871028 | + | 0.491233i | \(0.163454\pi\) | |||||||
\(608\) | −1.26085 | + | 4.17256i | −0.0511344 | + | 0.169220i | ||||
\(609\) | −64.8835 | − | 47.1406i | −2.62921 | − | 1.91023i | ||||
\(610\) | −6.59538 | + | 3.50683i | −0.267039 | + | 0.141987i | ||||
\(611\) | −2.75374 | − | 1.72073i | −0.111405 | − | 0.0696133i | ||||
\(612\) | 18.1833 | + | 5.21397i | 0.735015 | + | 0.210762i | ||||
\(613\) | −44.7362 | + | 12.8279i | −1.80688 | + | 0.518114i | −0.997596 | − | 0.0693047i | \(-0.977922\pi\) |
−0.809283 | + | 0.587419i | \(0.800144\pi\) | |||||||
\(614\) | −8.12781 | + | 5.07882i | −0.328012 | + | 0.204964i | ||||
\(615\) | 6.09501 | − | 10.5569i | 0.245775 | − | 0.425694i | ||||
\(616\) | −1.05661 | − | 15.4822i | −0.0425719 | − | 0.623797i | ||||
\(617\) | 4.36897 | − | 24.7777i | 0.175888 | − | 0.997511i | −0.761226 | − | 0.648487i | \(-0.775402\pi\) |
0.937114 | − | 0.349024i | \(-0.113487\pi\) | |||||||
\(618\) | −3.67822 | − | 1.95574i | −0.147960 | − | 0.0786716i | ||||
\(619\) | 24.0319 | + | 10.6997i | 0.965923 | + | 0.430057i | 0.828212 | − | 0.560416i | \(-0.189359\pi\) |
0.137712 | + | 0.990472i | \(0.456025\pi\) | |||||||
\(620\) | −14.4650 | + | 6.44022i | −0.580927 | + | 0.258645i | ||||
\(621\) | 0.0907831 | − | 0.224696i | 0.00364300 | − | 0.00901674i | ||||
\(622\) | −0.450226 | + | 12.8928i | −0.0180524 | + | 0.516953i | ||||
\(623\) | 31.6158 | + | 9.06567i | 1.26666 | + | 0.363208i | ||||
\(624\) | −1.09386 | + | 4.38723i | −0.0437895 | + | 0.175630i | ||||
\(625\) | −0.239412 | − | 0.0336472i | −0.00957650 | − | 0.00134589i | ||||
\(626\) | −17.7352 | −0.708841 | ||||||||
\(627\) | 7.92865 | + | 34.0969i | 0.316640 | + | 1.36170i | ||||
\(628\) | 1.75514 | 0.0700378 | ||||||||
\(629\) | −70.3699 | − | 9.88985i | −2.80583 | − | 0.394334i | ||||
\(630\) | −11.7172 | + | 46.9950i | −0.466824 | + | 1.87233i | ||||
\(631\) | 45.8695 | + | 13.1529i | 1.82604 | + | 0.523608i | 0.999243 | − | 0.0388962i | \(-0.0123842\pi\) |
0.826795 | + | 0.562504i | \(0.190162\pi\) | |||||||
\(632\) | 0.00874248 | − | 0.250352i | 0.000347757 | − | 0.00995847i | ||||
\(633\) | −10.4248 | + | 25.8024i | −0.414351 | + | 1.02555i | ||||
\(634\) | −23.9050 | + | 10.6432i | −0.949390 | + | 0.422696i | ||||
\(635\) | −9.02252 | − | 4.01709i | −0.358048 | − | 0.159413i | ||||
\(636\) | −15.7422 | − | 8.37026i | −0.624217 | − | 0.331902i | ||||
\(637\) | 4.82886 | − | 27.3858i | 0.191326 | − | 1.08507i | ||||
\(638\) | 15.0609 | + | 18.0099i | 0.596266 | + | 0.713021i | ||||
\(639\) | −0.653927 | + | 1.13263i | −0.0258690 | + | 0.0448063i | ||||
\(640\) | 3.06573 | − | 1.91568i | 0.121183 | − | 0.0757238i | ||||
\(641\) | 24.6112 | − | 7.05714i | 0.972083 | − | 0.278740i | 0.248235 | − | 0.968700i | \(-0.420149\pi\) |
0.723848 | + | 0.689959i | \(0.242372\pi\) | |||||||
\(642\) | 10.9360 | + | 3.13585i | 0.431610 | + | 0.123762i | ||||
\(643\) | 8.09449 | + | 5.05800i | 0.319215 | + | 0.199468i | 0.680057 | − | 0.733159i | \(-0.261955\pi\) |
−0.360842 | + | 0.932627i | \(0.617511\pi\) | |||||||
\(644\) | −3.02775 | + | 1.60988i | −0.119310 | + | 0.0634383i | ||||
\(645\) | 18.9438 | + | 13.7635i | 0.745912 | + | 0.541937i | ||||
\(646\) | −19.7066 | − | 20.9954i | −0.775345 | − | 0.826053i | ||||
\(647\) | 3.75568 | − | 11.5588i | 0.147651 | − | 0.454423i | −0.849691 | − | 0.527280i | \(-0.823212\pi\) |
0.997342 | + | 0.0728575i | \(0.0232118\pi\) | |||||||
\(648\) | −1.63073 | − | 9.24835i | −0.0640613 | − | 0.363310i | ||||
\(649\) | 28.6315 | + | 11.6236i | 1.12388 | + | 0.456267i | ||||
\(650\) | −14.1576 | + | 5.15294i | −0.555306 | + | 0.202115i | ||||
\(651\) | 30.5520 | − | 39.1047i | 1.19743 | − | 1.53263i | ||||
\(652\) | −9.37778 | − | 0.655758i | −0.367262 | − | 0.0256815i | ||||
\(653\) | 31.3756 | − | 13.9693i | 1.22782 | − | 0.546661i | 0.312704 | − | 0.949851i | \(-0.398765\pi\) |
0.915116 | + | 0.403190i | \(0.132099\pi\) | |||||||
\(654\) | 11.1275 | − | 12.3584i | 0.435120 | − | 0.483250i | ||||
\(655\) | −2.61822 | + | 0.367966i | −0.102302 | + | 0.0143776i | ||||
\(656\) | 1.00173 | − | 0.967357i | 0.0391109 | − | 0.0377689i | ||||
\(657\) | −6.50742 | − | 2.89729i | −0.253879 | − | 0.113034i | ||||
\(658\) | −5.44440 | − | 6.04662i | −0.212245 | − | 0.235722i | ||||
\(659\) | 9.15484 | + | 7.68182i | 0.356622 | + | 0.299241i | 0.803443 | − | 0.595382i | \(-0.202999\pi\) |
−0.446821 | + | 0.894623i | \(0.647444\pi\) | |||||||
\(660\) | 13.6728 | − | 25.6114i | 0.532214 | − | 0.996923i | ||||
\(661\) | −1.62715 | + | 0.592236i | −0.0632890 | + | 0.0230353i | −0.373471 | − | 0.927642i | \(-0.621832\pi\) |
0.310182 | + | 0.950677i | \(0.399610\pi\) | |||||||
\(662\) | −3.97453 | − | 9.83730i | −0.154474 | − | 0.382337i | ||||
\(663\) | −21.4863 | − | 20.7491i | −0.834460 | − | 0.805829i | ||||
\(664\) | 4.08734 | + | 2.96963i | 0.158620 | + | 0.115244i | ||||
\(665\) | 51.9642 | − | 52.3033i | 2.01508 | − | 2.02823i | ||||
\(666\) | −9.51839 | − | 29.2946i | −0.368830 | − | 1.13514i | ||||
\(667\) | 2.27423 | − | 4.66286i | 0.0880586 | − | 0.180547i | ||||
\(668\) | 4.56699 | − | 18.3172i | 0.176702 | − | 0.708714i | ||||
\(669\) | −0.680130 | − | 19.4764i | −0.0262953 | − | 0.753000i | ||||
\(670\) | −24.9466 | − | 9.07980i | −0.963769 | − | 0.350783i | ||||
\(671\) | −5.10052 | + | 4.57711i | −0.196904 | + | 0.176697i | ||||
\(672\) | −5.66491 | + | 9.81191i | −0.218529 | + | 0.378502i | ||||
\(673\) | −5.76858 | + | 1.22615i | −0.222362 | + | 0.0472646i | −0.317745 | − | 0.948176i | \(-0.602926\pi\) |
0.0953831 | + | 0.995441i | \(0.469592\pi\) | |||||||
\(674\) | 9.26764 | + | 19.0015i | 0.356976 | + | 0.731910i | ||||
\(675\) | 1.91919 | − | 1.85334i | 0.0738696 | − | 0.0713350i | ||||
\(676\) | −6.36561 | + | 7.06972i | −0.244831 | + | 0.271912i | ||||
\(677\) | −4.14720 | − | 0.881515i | −0.159390 | − | 0.0338794i | 0.127526 | − | 0.991835i | \(-0.459297\pi\) |
−0.286915 | + | 0.957956i | \(0.592630\pi\) | |||||||
\(678\) | 2.05958 | + | 8.26054i | 0.0790978 | + | 0.317244i | ||||
\(679\) | −67.3477 | + | 19.3116i | −2.58457 | + | 0.741113i | ||||
\(680\) | 0.833439 | + | 23.8666i | 0.0319609 | + | 0.915241i | ||||
\(681\) | 45.9540 | − | 38.5599i | 1.76096 | − | 1.47762i | ||||
\(682\) | −11.4622 | + | 8.92445i | −0.438912 | + | 0.341735i | ||||
\(683\) | 13.4894 | 0.516157 | 0.258078 | − | 0.966124i | \(-0.416911\pi\) | ||||
0.258078 | + | 0.966124i | \(0.416911\pi\) | |||||||
\(684\) | 4.43503 | − | 11.6669i | 0.169578 | − | 0.446096i | ||||
\(685\) | 4.19088 | − | 3.04485i | 0.160125 | − | 0.116338i | ||||
\(686\) | 16.1881 | − | 33.1905i | 0.618064 | − | 1.26722i | ||||
\(687\) | −39.8123 | − | 24.8775i | −1.51894 | − | 0.949136i | ||||
\(688\) | 1.64688 | + | 2.10791i | 0.0627868 | + | 0.0803634i | ||||
\(689\) | 7.68821 | + | 11.3982i | 0.292897 | + | 0.434238i | ||||
\(690\) | −6.39984 | − | 0.447520i | −0.243638 | − | 0.0170368i | ||||
\(691\) | −30.2134 | − | 33.5553i | −1.14937 | − | 1.27650i | −0.955340 | − | 0.295509i | \(-0.904511\pi\) |
−0.194030 | − | 0.980996i | \(-0.562156\pi\) | |||||||
\(692\) | 6.77083 | + | 11.7274i | 0.257388 | + | 0.445810i | ||||
\(693\) | −0.0743176 | + | 44.4356i | −0.00282309 | + | 1.68797i | ||||
\(694\) | 1.19837 | − | 6.79631i | 0.0454896 | − | 0.257985i | ||||
\(695\) | 24.0389 | − | 5.10962i | 0.911846 | − | 0.193819i | ||||
\(696\) | −1.79170 | − | 17.0469i | −0.0679141 | − | 0.646160i | ||||
\(697\) | 2.22552 | + | 8.92608i | 0.0842977 | + | 0.338100i | ||||
\(698\) | 0.374838 | − | 10.7340i | 0.0141878 | − | 0.406287i | ||||
\(699\) | 40.5185 | + | 51.8613i | 1.53255 | + | 1.96157i | ||||
\(700\) | −37.6600 | + | 2.63344i | −1.42341 | + | 0.0995348i | ||||
\(701\) | 0.986884 | + | 0.953022i | 0.0372741 | + | 0.0359952i | 0.713062 | − | 0.701101i | \(-0.247308\pi\) |
−0.675788 | + | 0.737096i | \(0.736197\pi\) | |||||||
\(702\) | −0.190802 | + | 0.587229i | −0.00720136 | + | 0.0221635i | ||||
\(703\) | −10.3990 | + | 45.7211i | −0.392207 | + | 1.72441i | ||||
\(704\) | 2.30791 | − | 2.38192i | 0.0869826 | − | 0.0897721i | ||||
\(705\) | −2.64334 | − | 14.9911i | −0.0995538 | − | 0.564598i | ||||
\(706\) | −8.19625 | − | 20.2864i | −0.308470 | − | 0.763490i | ||||
\(707\) | −45.3117 | + | 67.1773i | −1.70412 | + | 2.52646i | ||||
\(708\) | −12.6158 | − | 18.7036i | −0.474130 | − | 0.702926i | ||||
\(709\) | −13.3062 | + | 32.9340i | −0.499725 | + | 1.23686i | 0.440943 | + | 0.897535i | \(0.354644\pi\) |
−0.940668 | + | 0.339328i | \(0.889800\pi\) | |||||||
\(710\) | −1.61506 | − | 0.343291i | −0.0606120 | − | 0.0128835i | ||||
\(711\) | −0.0749788 | + | 0.713376i | −0.00281193 | + | 0.0267537i | ||||
\(712\) | 3.08147 | + | 6.31794i | 0.115483 | + | 0.236775i | ||||
\(713\) | 2.83432 | + | 1.50703i | 0.106146 | + | 0.0564388i | ||||
\(714\) | −37.4226 | − | 64.8179i | −1.40051 | − | 2.42575i | ||||
\(715\) | −18.5816 | + | 12.4883i | −0.694912 | + | 0.467035i | ||||
\(716\) | 4.85600 | + | 4.07467i | 0.181477 | + | 0.152277i | ||||
\(717\) | −18.6139 | + | 23.8247i | −0.695148 | + | 0.889749i | ||||
\(718\) | 20.1837 | − | 29.9236i | 0.753250 | − | 1.11674i | ||||
\(719\) | 39.0399 | − | 2.72993i | 1.45594 | − | 0.101809i | 0.680277 | − | 0.732955i | \(-0.261859\pi\) |
0.775664 | + | 0.631146i | \(0.217415\pi\) | |||||||
\(720\) | −9.13979 | + | 4.85971i | −0.340620 | + | 0.181111i | ||||
\(721\) | 2.48746 | + | 7.65560i | 0.0926377 | + | 0.285109i | ||||
\(722\) | −14.8958 | + | 11.7947i | −0.554364 | + | 0.438954i | ||||
\(723\) | 19.7140 | − | 14.3231i | 0.733172 | − | 0.532681i | ||||
\(724\) | −13.2719 | − | 1.86525i | −0.493247 | − | 0.0693214i | ||||
\(725\) | 43.7523 | − | 36.7125i | 1.62492 | − | 1.36347i | ||||
\(726\) | 6.53025 | − | 25.8231i | 0.242360 | − | 0.958385i | ||||
\(727\) | −27.6946 | − | 10.0800i | −1.02714 | − | 0.373847i | −0.227146 | − | 0.973861i | \(-0.572939\pi\) |
−0.799990 | + | 0.600014i | \(0.795162\pi\) | |||||||
\(728\) | 7.40930 | − | 4.62984i | 0.274607 | − | 0.171593i | ||||
\(729\) | 2.55975 | + | 24.3544i | 0.0948057 | + | 0.902016i | ||||
\(730\) | 0.940021 | − | 8.94370i | 0.0347917 | − | 0.331021i | ||||
\(731\) | −17.4991 | + | 2.45933i | −0.647226 | + | 0.0909617i | ||||
\(732\) | 4.95474 | − | 0.696344i | 0.183133 | − | 0.0257376i | ||||
\(733\) | 3.53158 | − | 33.6007i | 0.130442 | − | 1.24107i | −0.711959 | − | 0.702221i | \(-0.752192\pi\) |
0.842401 | − | 0.538851i | \(-0.181141\pi\) | |||||||
\(734\) | 0.588643 | + | 5.60057i | 0.0217272 | + | 0.206721i | ||||
\(735\) | 110.554 | − | 69.0817i | 4.07784 | − | 2.54812i | ||||
\(736\) | −0.688692 | − | 0.250663i | −0.0253855 | − | 0.00923957i | ||||
\(737\) | −24.2184 | − | 2.58642i | −0.892096 | − | 0.0952719i | ||||
\(738\) | −3.05462 | + | 2.56313i | −0.112442 | + | 0.0943503i | ||||
\(739\) | −2.51830 | − | 0.353924i | −0.0926372 | − | 0.0130193i | 0.0927022 | − | 0.995694i | \(-0.470450\pi\) |
−0.185339 | + | 0.982675i | \(0.559338\pi\) | |||||||
\(740\) | 31.4603 | − | 22.8573i | 1.15650 | − | 0.840250i | ||||
\(741\) | −14.8324 | + | 12.9785i | −0.544882 | + | 0.476779i | ||||
\(742\) | 10.6459 | + | 32.7647i | 0.390823 | + | 1.20283i | ||||
\(743\) | 26.1232 | − | 13.8899i | 0.958367 | − | 0.509573i | 0.0848646 | − | 0.996392i | \(-0.472954\pi\) |
0.873503 | + | 0.486820i | \(0.161843\pi\) | |||||||
\(744\) | 10.5801 | − | 0.739836i | 0.387887 | − | 0.0271237i | ||||
\(745\) | 31.4716 | − | 46.6586i | 1.15303 | − | 1.70944i | ||||
\(746\) | 8.41947 | − | 10.7764i | 0.308259 | − | 0.394553i | ||||
\(747\) | −11.0822 | − | 9.29907i | −0.405477 | − | 0.340235i | ||||
\(748\) | 6.00392 | + | 21.0711i | 0.219525 | + | 0.770436i | ||||
\(749\) | −10.9915 | − | 19.0379i | −0.401621 | − | 0.695628i | ||||
\(750\) | −23.7165 | − | 12.6103i | −0.866005 | − | 0.460463i | ||||
\(751\) | −6.37477 | − | 13.0702i | −0.232619 | − | 0.476939i | 0.750272 | − | 0.661129i | \(-0.229923\pi\) |
−0.982891 | + | 0.184190i | \(0.941034\pi\) | |||||||
\(752\) | 0.181772 | − | 1.72945i | 0.00662855 | − | 0.0630664i | ||||
\(753\) | 53.0270 | + | 11.2712i | 1.93241 | + | 0.410747i | ||||
\(754\) | −4.95153 | + | 12.2555i | −0.180324 | + | 0.446318i | ||||
\(755\) | −43.9740 | − | 65.1942i | −1.60038 | − | 2.37266i | ||||
\(756\) | −0.865164 | + | 1.28266i | −0.0314657 | + | 0.0466498i | ||||
\(757\) | −19.4708 | − | 48.1920i | −0.707679 | − | 1.75157i | −0.658262 | − | 0.752789i | \(-0.728708\pi\) |
−0.0494172 | − | 0.998778i | \(-0.515736\pi\) | |||||||
\(758\) | 0.592725 | + | 3.36151i | 0.0215288 | + | 0.122096i | ||||
\(759\) | −5.79816 | + | 1.01238i | −0.210460 | + | 0.0367470i | ||||
\(760\) | 15.7386 | + | 0.773504i | 0.570899 | + | 0.0280579i | ||||
\(761\) | 5.05509 | − | 15.5580i | 0.183247 | − | 0.563975i | −0.816667 | − | 0.577109i | \(-0.804181\pi\) |
0.999914 | + | 0.0131337i | \(0.00418070\pi\) | |||||||
\(762\) | 4.75878 | + | 4.59550i | 0.172392 | + | 0.166477i | ||||
\(763\) | −32.0552 | + | 2.24151i | −1.16047 | + | 0.0811483i | ||||
\(764\) | −4.04635 | − | 5.17909i | −0.146392 | − | 0.187373i | ||||
\(765\) | 2.38650 | − | 68.3405i | 0.0862842 | − | 2.47086i | ||||
\(766\) | 0.968242 | + | 3.88341i | 0.0349840 | + | 0.140313i | ||||
\(767\) | 1.81853 | + | 17.3022i | 0.0656633 | + | 0.624745i | ||||
\(768\) | −2.36854 | + | 0.503449i | −0.0854673 | + | 0.0181666i | ||||
\(769\) | 3.03447 | − | 17.2093i | 0.109426 | − | 0.620585i | −0.879934 | − | 0.475096i | \(-0.842413\pi\) |
0.989360 | − | 0.145489i | \(-0.0464755\pi\) | |||||||
\(770\) | −53.3823 | + | 17.2463i | −1.92376 | + | 0.621514i | ||||
\(771\) | 12.8838 | + | 22.3154i | 0.464000 | + | 0.803671i | ||||
\(772\) | −10.8644 | − | 12.0661i | −0.391017 | − | 0.434268i | ||||
\(773\) | 15.9442 | + | 1.11493i | 0.573474 | + | 0.0401012i | 0.353550 | − | 0.935416i | \(-0.384975\pi\) |
0.219924 | + | 0.975517i | \(0.429419\pi\) | |||||||
\(774\) | −4.28322 | − | 6.35014i | −0.153957 | − | 0.228251i | ||||
\(775\) | 21.7575 | + | 27.8484i | 0.781553 | + | 1.00034i | ||||
\(776\) | −12.6986 | − | 7.93495i | −0.455853 | − | 0.284848i | ||||
\(777\) | −53.4266 | + | 109.541i | −1.91667 | + | 3.92975i | ||||
\(778\) | −16.8003 | + | 12.2062i | −0.602321 | + | 0.437612i | ||||
\(779\) | 5.99220 | − | 0.969059i | 0.214693 | − | 0.0347201i | ||||
\(780\) | 16.3456 | 0.585265 | ||||||||
\(781\) | −1.51400 | + | 0.0503351i | −0.0541753 | + | 0.00180113i | ||||
\(782\) | 3.70881 | − | 3.11206i | 0.132627 | − | 0.111287i | ||||
\(783\) | −0.0816889 | − | 2.33927i | −0.00291932 | − | 0.0835985i | ||||
\(784\) | 14.3155 | − | 4.10489i | 0.511267 | − | 0.146603i | ||||
\(785\) | −1.53497 | − | 6.15643i | −0.0547855 | − | 0.219733i | ||||
\(786\) | 1.73229 | + | 0.368210i | 0.0617887 | + | 0.0131336i | ||||
\(787\) | −0.938974 | + | 1.04284i | −0.0334708 | + | 0.0371731i | −0.759648 | − | 0.650335i | \(-0.774629\pi\) |
0.726177 | + | 0.687508i | \(0.241295\pi\) | |||||||
\(788\) | 18.1767 | − | 17.5530i | 0.647518 | − | 0.625301i | ||||
\(789\) | −11.5067 | − | 23.5921i | −0.409648 | − | 0.839902i | ||||
\(790\) | −0.885794 | + | 0.188281i | −0.0315152 | + | 0.00669875i | ||||
\(791\) | 8.22516 | − | 14.2464i | 0.292453 | − | 0.506543i | ||||
\(792\) | −7.06824 | + | 6.34290i | −0.251159 | + | 0.225385i | ||||
\(793\) | −3.62567 | − | 1.31964i | −0.128751 | − | 0.0468616i | ||||
\(794\) | 1.01810 | + | 29.1545i | 0.0361309 | + | 1.03465i | ||||
\(795\) | −15.5926 | + | 62.5384i | −0.553011 | + | 2.21801i | ||||
\(796\) | 6.61589 | − | 13.5646i | 0.234494 | − | 0.480784i | ||||
\(797\) | 14.0120 | + | 43.1246i | 0.496331 | + | 1.52755i | 0.814872 | + | 0.579641i | \(0.196807\pi\) |
−0.318541 | + | 0.947909i | \(0.603193\pi\) | |||||||
\(798\) | −44.6904 | + | 21.0167i | −1.58202 | + | 0.743982i | ||||
\(799\) | 9.29377 | + | 6.75232i | 0.328790 | + | 0.238880i | ||||
\(800\) | −5.80400 | − | 5.60485i | −0.205202 | − | 0.198162i | ||||
\(801\) | −7.54014 | − | 18.6625i | −0.266418 | − | 0.659407i | ||||
\(802\) | 1.12505 | − | 0.409484i | 0.0397268 | − | 0.0144594i | ||||
\(803\) | −1.13460 | − | 8.17223i | −0.0400391 | − | 0.288392i | ||||
\(804\) | 13.6220 | + | 11.4302i | 0.480412 | + | 0.403114i | ||||
\(805\) | 8.29486 | + | 9.21238i | 0.292355 | + | 0.324694i | ||||
\(806\) | −7.47162 | − | 3.32658i | −0.263177 | − | 0.117174i | ||||
\(807\) | 24.2598 | − | 23.4274i | 0.853985 | − | 0.824684i | ||||
\(808\) | −17.1496 | + | 2.41022i | −0.603322 | + | 0.0847914i | ||||
\(809\) | 0.544337 | − | 0.604548i | 0.0191379 | − | 0.0212548i | −0.733500 | − | 0.679690i | \(-0.762115\pi\) |
0.752638 | + | 0.658435i | \(0.228781\pi\) | |||||||
\(810\) | −31.0139 | + | 13.8083i | −1.08972 | + | 0.485173i | ||||
\(811\) | 7.99390 | + | 0.558988i | 0.280704 | + | 0.0196287i | 0.209415 | − | 0.977827i | \(-0.432844\pi\) |
0.0712893 | + | 0.997456i | \(0.477289\pi\) | |||||||
\(812\) | −20.3912 | + | 26.0995i | −0.715590 | + | 0.915913i | ||||
\(813\) | −37.4498 | + | 13.6306i | −1.31342 | + | 0.478046i | ||||
\(814\) | 22.9784 | − | 27.2918i | 0.805394 | − | 0.956578i | ||||
\(815\) | 5.90123 | + | 33.4675i | 0.206711 | + | 1.17232i | ||||
\(816\) | 4.94311 | − | 15.2133i | 0.173043 | − | 0.532573i | ||||
\(817\) | 0.648104 | + | 11.6419i | 0.0226743 | + | 0.407300i | ||||
\(818\) | 17.0095 | + | 12.3581i | 0.594722 | + | 0.432091i | ||||
\(819\) | −22.0892 | + | 11.7450i | −0.771859 | + | 0.410405i | ||||
\(820\) | −4.26922 | − | 2.66771i | −0.149088 | − | 0.0931603i | ||||
\(821\) | 33.3751 | + | 9.57015i | 1.16480 | + | 0.334001i | 0.801687 | − | 0.597745i | \(-0.203936\pi\) |
0.363112 | + | 0.931745i | \(0.381714\pi\) | |||||||
\(822\) | −3.33544 | + | 0.956422i | −0.116337 | + | 0.0333590i | ||||
\(823\) | −14.6214 | + | 9.13644i | −0.509668 | + | 0.318476i | −0.760262 | − | 0.649616i | \(-0.774930\pi\) |
0.250594 | + | 0.968092i | \(0.419374\pi\) | |||||||
\(824\) | −0.860194 | + | 1.48990i | −0.0299663 | + | 0.0519031i | ||||
\(825\) | −62.8475 | − | 15.7813i | −2.18807 | − | 0.549436i | ||||
\(826\) | −7.56994 | + | 42.9313i | −0.263392 | + | 1.49377i | ||||
\(827\) | 20.6449 | + | 10.9771i | 0.717893 | + | 0.381710i | 0.787873 | − | 0.615838i | \(-0.211182\pi\) |
−0.0699801 | + | 0.997548i | \(0.522294\pi\) | |||||||
\(828\) | 1.91716 | + | 0.853573i | 0.0666258 | + | 0.0296637i | ||||
\(829\) | −19.7882 | + | 8.81028i | −0.687273 | + | 0.305994i | −0.720501 | − | 0.693454i | \(-0.756088\pi\) |
0.0332279 | + | 0.999448i | \(0.489421\pi\) | |||||||
\(830\) | 6.84182 | − | 16.9341i | 0.237483 | − | 0.587791i | ||||
\(831\) | −0.630737 | + | 18.0619i | −0.0218800 | + | 0.626562i | ||||
\(832\) | 1.79495 | + | 0.514693i | 0.0622286 | + | 0.0178438i | ||||
\(833\) | −23.8002 | + | 95.4574i | −0.824628 | + | 3.30740i | ||||
\(834\) | −16.3014 | − | 2.29102i | −0.564472 | − | 0.0793314i | ||||
\(835\) | −68.2445 | −2.36170 | ||||||||
\(836\) | 14.1868 | − | 2.78091i | 0.490662 | − | 0.0961799i | ||||
\(837\) | 1.44832 | 0.0500613 | ||||||||
\(838\) | 1.73260 | + | 0.243500i | 0.0598515 | + | 0.00841158i | ||||
\(839\) | 4.24319 | − | 17.0185i | 0.146491 | − | 0.587544i | −0.851509 | − | 0.524340i | \(-0.824312\pi\) |
0.998001 | − | 0.0632049i | \(-0.0201322\pi\) | |||||||
\(840\) | 39.3711 | + | 11.2895i | 1.35843 | + | 0.389524i | ||||
\(841\) | 0.736660 | − | 21.0952i | 0.0254021 | − | 0.727420i | ||||
\(842\) | −10.8646 | + | 26.8909i | −0.374420 | + | 0.926721i | ||||
\(843\) | −33.3644 | + | 14.8548i | −1.14913 | + | 0.511627i | ||||
\(844\) | 10.4990 | + | 4.67446i | 0.361391 | + | 0.160902i | ||||
\(845\) | 30.3652 | + | 16.1455i | 1.04460 | + | 0.555422i | ||||
\(846\) | −0.864672 | + | 4.90380i | −0.0297281 | + | 0.168596i | ||||
\(847\) | −43.7385 | + | 27.1278i | −1.50287 | + | 0.932124i | ||||
\(848\) | −3.68149 | + | 6.37652i | −0.126423 | + | 0.218971i | ||||
\(849\) | 16.9842 | − | 10.6129i | 0.582896 | − | 0.364234i | ||||
\(850\) | 51.2361 | − | 14.6917i | 1.75738 | − | 0.503922i | ||||
\(851\) | −7.57833 | − | 2.17305i | −0.259782 | − | 0.0744912i | ||||
\(852\) | 0.937924 | + | 0.586080i | 0.0321327 | + | 0.0200788i | ||||
\(853\) | 31.4538 | − | 16.7243i | 1.07696 | − | 0.572628i | 0.166420 | − | 0.986055i | \(-0.446779\pi\) |
0.910537 | + | 0.413427i | \(0.135668\pi\) | |||||||
\(854\) | −7.82161 | − | 5.68273i | −0.267650 | − | 0.194459i | ||||
\(855\) | −44.8023 | − | 5.35317i | −1.53221 | − | 0.183075i | ||||
\(856\) | 1.45186 | − | 4.46835i | 0.0496234 | − | 0.152725i | ||||
\(857\) | −1.00153 | − | 5.67993i | −0.0342115 | − | 0.194023i | 0.962912 | − | 0.269815i | \(-0.0869626\pi\) |
−0.997124 | + | 0.0757922i | \(0.975851\pi\) | |||||||
\(858\) | 14.5569 | − | 3.60358i | 0.496963 | − | 0.123024i | ||||
\(859\) | −17.5912 | + | 6.40267i | −0.600204 | + | 0.218456i | −0.624211 | − | 0.781255i | \(-0.714580\pi\) |
0.0240077 | + | 0.999712i | \(0.492357\pi\) | |||||||
\(860\) | 5.95354 | − | 7.62019i | 0.203014 | − | 0.259846i | ||||
\(861\) | 15.7391 | + | 1.10058i | 0.536386 | + | 0.0375077i | ||||
\(862\) | 2.28703 | − | 1.01825i | 0.0778965 | − | 0.0346818i | ||||
\(863\) | 3.22620 | − | 3.58306i | 0.109821 | − | 0.121969i | −0.685728 | − | 0.727858i | \(-0.740516\pi\) |
0.795549 | + | 0.605889i | \(0.207183\pi\) | |||||||
\(864\) | −0.327449 | + | 0.0460199i | −0.0111400 | + | 0.00156563i | ||||
\(865\) | 35.2143 | − | 34.0060i | 1.19732 | − | 1.15624i | ||||
\(866\) | 2.30571 | + | 1.02657i | 0.0783511 | + | 0.0348842i | ||||
\(867\) | 43.1637 | + | 47.9381i | 1.46592 | + | 1.62806i | ||||
\(868\) | −15.6991 | − | 13.1731i | −0.532862 | − | 0.447124i | ||||
\(869\) | −0.747353 | + | 0.362962i | −0.0253522 | + | 0.0123127i | ||||
\(870\) | −58.2276 | + | 21.1931i | −1.97410 | + | 0.718514i | ||||
\(871\) | −5.13686 | − | 12.7142i | −0.174056 | − | 0.430803i | ||||
\(872\) | −4.94020 | − | 4.77070i | −0.167296 | − | 0.161556i | ||||
\(873\) | 34.6881 | + | 25.2024i | 1.17402 | + | 0.852972i | ||||
\(874\) | −1.84085 | − | 2.61089i | −0.0622675 | − | 0.0883145i | ||||
\(875\) | 16.0387 | + | 49.3620i | 0.542206 | + | 1.66874i | ||||
\(876\) | −2.64063 | + | 5.41410i | −0.0892188 | + | 0.182926i | ||||
\(877\) | 2.66816 | − | 10.7014i | 0.0900973 | − | 0.361360i | −0.908276 | − | 0.418371i | \(-0.862601\pi\) |
0.998374 | + | 0.0570104i | \(0.0181568\pi\) | |||||||
\(878\) | −0.844689 | − | 24.1887i | −0.0285069 | − | 0.816330i | ||||
\(879\) | −16.9059 | − | 6.15324i | −0.570221 | − | 0.207544i | ||||
\(880\) | −10.3734 | − | 6.01222i | −0.349686 | − | 0.202672i | ||||
\(881\) | −19.8263 | + | 34.3401i | −0.667964 | + | 1.15695i | 0.310508 | + | 0.950571i | \(0.399501\pi\) |
−0.978472 | + | 0.206377i | \(0.933833\pi\) | |||||||
\(882\) | −41.7116 | + | 8.86607i | −1.40450 | + | 0.298536i | ||||
\(883\) | 14.1641 | + | 29.0407i | 0.476660 | + | 0.977298i | 0.992686 | + | 0.120725i | \(0.0385220\pi\) |
−0.516026 | + | 0.856573i | \(0.672589\pi\) | |||||||
\(884\) | −8.87332 | + | 8.56886i | −0.298442 | + | 0.288202i | ||||
\(885\) | −54.5728 | + | 60.6092i | −1.83444 | + | 2.03736i | ||||
\(886\) | 9.19876 | + | 1.95526i | 0.309038 | + | 0.0656882i | ||||
\(887\) | −10.0770 | − | 40.4165i | −0.338351 | − | 1.35705i | −0.862772 | − | 0.505593i | \(-0.831274\pi\) |
0.524421 | − | 0.851459i | \(-0.324282\pi\) | |||||||
\(888\) | −25.0386 | + | 7.17971i | −0.840242 | + | 0.240935i | ||||
\(889\) | −0.446119 | − | 12.7752i | −0.0149623 | − | 0.428465i | ||||
\(890\) | 19.4663 | − | 16.3341i | 0.652510 | − | 0.547521i | ||||
\(891\) | −24.5758 | + | 19.1346i | −0.823321 | + | 0.641034i | ||||
\(892\) | −8.04815 | −0.269472 | ||||||||
\(893\) | 4.95430 | − | 5.73685i | 0.165789 | − | 0.191976i | ||||
\(894\) | −30.4985 | + | 22.1584i | −1.02002 | + | 0.741089i | ||||
\(895\) | 10.0457 | − | 20.5967i | 0.335790 | − | 0.688472i | ||||
\(896\) | 3.96796 | + | 2.47945i | 0.132560 | + | 0.0828328i | ||||
\(897\) | −2.04018 | − | 2.61131i | −0.0681195 | − | 0.0871890i | ||||
\(898\) | −6.16096 | − | 9.13400i | −0.205594 | − | 0.304806i | ||||
\(899\) | 30.9292 | + | 2.16278i | 1.03155 | + | 0.0721328i | ||||
\(900\) | 15.4594 | + | 17.1694i | 0.515313 | + | 0.572313i | ||||
\(901\) | −24.3201 | − | 42.1236i | −0.810219 | − | 1.40334i | ||||
\(902\) | −4.39017 | − | 1.43457i | −0.146177 | − | 0.0477661i | ||||
\(903\) | −5.26276 | + | 29.8466i | −0.175134 | + | 0.993232i | ||||
\(904\) | 3.43900 | − | 0.730982i | 0.114379 | − | 0.0243121i | ||||
\(905\) | 5.06441 | + | 48.1846i | 0.168347 | + | 1.60171i | ||||
\(906\) | 12.7431 | + | 51.1096i | 0.423359 | + | 1.69800i | ||||
\(907\) | 1.07587 | − | 30.8089i | 0.0357237 | − | 1.02299i | −0.840714 | − | 0.541479i | \(-0.817865\pi\) |
0.876438 | − | 0.481515i | \(-0.159913\pi\) | |||||||
\(908\) | −15.2523 | − | 19.5220i | −0.506164 | − | 0.647861i | ||||
\(909\) | 49.4688 | − | 3.45920i | 1.64078 | − | 0.114734i | ||||
\(910\) | −22.7198 | − | 21.9402i | −0.753153 | − | 0.727311i | ||||
\(911\) | −8.43712 | + | 25.9668i | −0.279534 | + | 0.860318i | 0.708450 | + | 0.705761i | \(0.249395\pi\) |
−0.987984 | + | 0.154557i | \(0.950605\pi\) | |||||||
\(912\) | −9.72918 | − | 4.09250i | −0.322165 | − | 0.135516i | ||||
\(913\) | 2.35978 | − | 16.5894i | 0.0780975 | − | 0.549028i | ||||
\(914\) | −1.41938 | − | 8.04970i | −0.0469489 | − | 0.266260i | ||||
\(915\) | −6.77574 | − | 16.7705i | −0.223999 | − | 0.554417i | ||||
\(916\) | −10.8413 | + | 16.0729i | −0.358208 | + | 0.531065i | ||||
\(917\) | −1.91359 | − | 2.83701i | −0.0631921 | − | 0.0936862i | ||||
\(918\) | 0.818290 | − | 2.02534i | 0.0270076 | − | 0.0668462i | ||||
\(919\) | −40.5947 | − | 8.62868i | −1.33910 | − | 0.284634i | −0.517979 | − | 0.855393i | \(-0.673316\pi\) |
−0.821117 | + | 0.570759i | \(0.806649\pi\) | |||||||
\(920\) | −0.276940 | + | 2.63491i | −0.00913046 | + | 0.0868705i | ||||
\(921\) | −10.1735 | − | 20.8588i | −0.335229 | − | 0.687321i | ||||
\(922\) | 30.3536 | + | 16.1393i | 0.999644 | + | 0.531520i | ||||
\(923\) | −0.426433 | − | 0.738604i | −0.0140362 | − | 0.0243115i | ||||
\(924\) | 37.5516 | + | 1.37422i | 1.23536 | + | 0.0452084i | ||||
\(925\) | −66.4874 | − | 55.7896i | −2.18609 | − | 1.83435i | ||||
\(926\) | 17.0792 | − | 21.8604i | 0.561257 | − | 0.718376i | ||||
\(927\) | 2.75472 | − | 4.08403i | 0.0904767 | − | 0.134137i | ||||
\(928\) | −7.06146 | + | 0.493785i | −0.231804 | + | 0.0162093i | ||||
\(929\) | −35.2235 | + | 18.7287i | −1.15565 | + | 0.614468i | −0.932803 | − | 0.360386i | \(-0.882645\pi\) |
−0.222843 | + | 0.974854i | \(0.571534\pi\) | |||||||
\(930\) | −11.8480 | − | 36.4645i | −0.388512 | − | 1.19572i | ||||
\(931\) | 61.4461 | + | 20.9343i | 2.01382 | + | 0.686094i | ||||
\(932\) | 21.9883 | − | 15.9755i | 0.720252 | − | 0.523293i | ||||
\(933\) | −30.9343 | − | 4.34753i | −1.01274 | − | 0.142332i | ||||
\(934\) | −18.5010 | + | 15.5242i | −0.605371 | + | 0.507967i | ||||
\(935\) | 68.6594 | − | 39.4876i | 2.24540 | − | 1.29138i | ||||
\(936\) | −5.02441 | − | 1.82873i | −0.164228 | − | 0.0597740i | ||||
\(937\) | 9.95985 | − | 6.22360i | 0.325374 | − | 0.203316i | −0.357390 | − | 0.933955i | \(-0.616333\pi\) |
0.682764 | + | 0.730639i | \(0.260778\pi\) | |||||||
\(938\) | −3.59164 | − | 34.1722i | −0.117271 | − | 1.11576i | ||||
\(939\) | 4.48897 | − | 42.7097i | 0.146492 | − | 1.39378i | ||||
\(940\) | −6.22528 | + | 0.874905i | −0.203046 | + | 0.0285363i | ||||
\(941\) | 5.17335 | − | 0.727066i | 0.168646 | − | 0.0237017i | −0.0543445 | − | 0.998522i | \(-0.517307\pi\) |
0.222991 | + | 0.974821i | \(0.428418\pi\) | |||||||
\(942\) | −0.444246 | + | 4.22671i | −0.0144743 | + | 0.137714i | ||||
\(943\) | 0.106681 | + | 1.01501i | 0.00347403 | + | 0.0330531i | ||||
\(944\) | −7.90126 | + | 4.93725i | −0.257164 | + | 0.160694i | ||||
\(945\) | 5.25576 | + | 1.91294i | 0.170970 | + | 0.0622280i | ||||
\(946\) | 3.62208 | − | 8.09884i | 0.117764 | − | 0.263316i | ||||
\(947\) | 35.7584 | − | 30.0049i | 1.16199 | − | 0.975027i | 0.162061 | − | 0.986781i | \(-0.448186\pi\) |
0.999931 | + | 0.0117533i | \(0.00374127\pi\) | |||||||
\(948\) | 0.600682 | + | 0.0844204i | 0.0195093 | + | 0.00274185i | ||||
\(949\) | 3.75801 | − | 2.73035i | 0.121990 | − | 0.0886310i | ||||
\(950\) | −6.82296 | − | 34.5016i | −0.221366 | − | 1.11938i | ||||
\(951\) | −19.5802 | − | 60.2617i | −0.634932 | − | 1.95412i | ||||
\(952\) | −27.2912 | + | 14.5110i | −0.884513 | + | 0.470304i | ||||
\(953\) | −27.0361 | + | 1.89055i | −0.875784 | + | 0.0612408i | −0.500569 | − | 0.865697i | \(-0.666876\pi\) |
−0.375216 | + | 0.926938i | \(0.622431\pi\) | |||||||
\(954\) | 11.7897 | − | 17.4790i | 0.381706 | − | 0.565903i | ||||
\(955\) | −14.6277 | + | 18.7226i | −0.473341 | + | 0.605849i | ||||
\(956\) | 9.56473 | + | 8.02576i | 0.309345 | + | 0.259572i | ||||
\(957\) | −47.1834 | + | 31.7109i | −1.52522 | + | 1.02507i | ||||
\(958\) | −5.27383 | − | 9.13453i | −0.170390 | − | 0.295123i | ||||
\(959\) | 5.91993 | + | 3.14768i | 0.191164 | + | 0.101644i | ||||
\(960\) | 3.83735 | + | 7.86773i | 0.123850 | + | 0.253930i | ||||
\(961\) | 1.23506 | − | 11.7509i | 0.0398408 | − | 0.379060i | ||||
\(962\) | 19.6475 | + | 4.17621i | 0.633461 | + | 0.134646i | ||||
\(963\) | −5.03970 | + | 12.4737i | −0.162402 | + | 0.401960i | ||||
\(964\) | −5.62733 | − | 8.34286i | −0.181244 | − | 0.268706i | ||||
\(965\) | −32.8222 | + | 48.6610i | −1.05658 | + | 1.56645i | ||||
\(966\) | −3.11055 | − | 7.69888i | −0.100080 | − | 0.247707i | ||||
\(967\) | 0.842714 | + | 4.77927i | 0.0270998 | + | 0.153691i | 0.995355 | − | 0.0962733i | \(-0.0306923\pi\) |
−0.968255 | + | 0.249964i | \(0.919581\pi\) | |||||||
\(968\) | −10.5637 | − | 3.06736i | −0.339529 | − | 0.0985888i | ||||
\(969\) | 55.5489 | − | 42.1430i | 1.78449 | − | 1.35383i | ||||
\(970\) | −16.7275 | + | 51.4818i | −0.537086 | + | 1.65298i | ||||
\(971\) | −14.4742 | − | 13.9775i | −0.464498 | − | 0.448560i | 0.425207 | − | 0.905096i | \(-0.360201\pi\) |
−0.889705 | + | 0.456536i | \(0.849090\pi\) | |||||||
\(972\) | 21.6950 | − | 1.51706i | 0.695866 | − | 0.0486597i | ||||
\(973\) | 19.5833 | + | 25.0654i | 0.627810 | + | 0.803561i | ||||
\(974\) | −0.121169 | + | 3.46984i | −0.00388252 | + | 0.111181i | ||||
\(975\) | −8.82582 | − | 35.3984i | −0.282652 | − | 1.13366i | ||||
\(976\) | −0.215986 | − | 2.05497i | −0.00691356 | − | 0.0657781i | ||||
\(977\) | 0.473982 | − | 0.100748i | 0.0151640 | − | 0.00322322i | −0.200323 | − | 0.979730i | \(-0.564199\pi\) |
0.215487 | + | 0.976507i | \(0.430866\pi\) | |||||||
\(978\) | 3.95281 | − | 22.4175i | 0.126397 | − | 0.716832i | ||||
\(979\) | 13.7350 | − | 18.8383i | 0.438972 | − | 0.602073i | ||||
\(980\) | −26.9182 | − | 46.6238i | −0.859872 | − | 1.48934i | ||||
\(981\) | 13.1586 | + | 14.6141i | 0.420122 | + | 0.466593i | ||||
\(982\) | 15.5634 | + | 1.08830i | 0.496648 | + | 0.0347290i | ||||
\(983\) | 2.04250 | + | 3.02813i | 0.0651456 | + | 0.0965823i | 0.860203 | − | 0.509952i | \(-0.170337\pi\) |
−0.795057 | + | 0.606535i | \(0.792559\pi\) | |||||||
\(984\) | 2.07603 | + | 2.65720i | 0.0661814 | + | 0.0847084i | ||||
\(985\) | −77.4666 | − | 48.4065i | −2.46829 | − | 1.54236i | ||||
\(986\) | 20.4992 | − | 42.0296i | 0.652828 | − | 1.33850i | ||||
\(987\) | 15.9394 | − | 11.5807i | 0.507358 | − | 0.368617i | ||||
\(988\) | 5.14277 | + | 6.30873i | 0.163613 | + | 0.200708i | ||||
\(989\) | −1.96047 | −0.0623392 | ||||||||
\(990\) | 28.4303 | + | 19.2457i | 0.903574 | + | 0.611669i | ||||
\(991\) | −41.4319 | + | 34.7655i | −1.31613 | + | 1.10436i | −0.329017 | + | 0.944324i | \(0.606717\pi\) |
−0.987111 | + | 0.160038i | \(0.948838\pi\) | |||||||
\(992\) | −0.152860 | − | 4.37733i | −0.00485331 | − | 0.138980i | ||||
\(993\) | 24.6961 | − | 7.08149i | 0.783706 | − | 0.224724i | ||||
\(994\) | −0.517002 | − | 2.07358i | −0.0163983 | − | 0.0657700i | ||||
\(995\) | −53.3659 | − | 11.3433i | −1.69181 | − | 0.359606i | ||||
\(996\) | −8.18598 | + | 9.09145i | −0.259383 | + | 0.288074i | ||||
\(997\) | 26.8770 | − | 25.9549i | 0.851205 | − | 0.821999i | −0.134424 | − | 0.990924i | \(-0.542919\pi\) |
0.985629 | + | 0.168925i | \(0.0540296\pi\) | |||||||
\(998\) | 9.45143 | + | 19.3783i | 0.299180 | + | 0.613409i | ||||
\(999\) | −3.47927 | + | 0.739541i | −0.110079 | + | 0.0233980i |
(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 | 418.2.u.b.9.3 | ✓ | 264 | |
11.5 | even | 5 | inner | 418.2.u.b.313.3 | yes | 264 | |
19.17 | even | 9 | inner | 418.2.u.b.207.3 | yes | 264 | |
209.93 | even | 45 | inner | 418.2.u.b.93.3 | yes | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.u.b.9.3 | ✓ | 264 | 1.1 | even | 1 | trivial | |
418.2.u.b.93.3 | yes | 264 | 209.93 | even | 45 | inner | |
418.2.u.b.207.3 | yes | 264 | 19.17 | even | 9 | inner | |
418.2.u.b.313.3 | yes | 264 | 11.5 | even | 5 | inner |