Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 23.25 | ||
Character | \(\chi\) | \(=\) | 570.23 |
Dual form | 570.2.bi.a.347.25 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.422618 | + | 0.906308i | 0.298836 | + | 0.640856i | ||||
\(3\) | −1.13165 | − | 1.31125i | −0.653356 | − | 0.757051i | ||||
\(4\) | −0.642788 | + | 0.766044i | −0.321394 | + | 0.383022i | ||||
\(5\) | −1.05411 | − | 1.97202i | −0.471412 | − | 0.881913i | ||||
\(6\) | 0.710142 | − | 1.57978i | 0.289914 | − | 0.644942i | ||||
\(7\) | −0.0450943 | − | 0.168294i | −0.0170441 | − | 0.0636093i | 0.956880 | − | 0.290483i | \(-0.0938161\pi\) |
−0.973924 | + | 0.226874i | \(0.927149\pi\) | |||||||
\(8\) | −0.965926 | − | 0.258819i | −0.341506 | − | 0.0915064i | ||||
\(9\) | −0.438754 | + | 2.96774i | −0.146251 | + | 0.989247i | ||||
\(10\) | 1.34177 | − | 1.78876i | 0.424305 | − | 0.565655i | ||||
\(11\) | −1.02542 | + | 0.592026i | −0.309176 | + | 0.178503i | −0.646557 | − | 0.762865i | \(-0.723792\pi\) |
0.337382 | + | 0.941368i | \(0.390459\pi\) | |||||||
\(12\) | 1.73188 | − | 0.0240358i | 0.499952 | − | 0.00693854i | ||||
\(13\) | −0.862888 | + | 0.604200i | −0.239322 | + | 0.167575i | −0.687085 | − | 0.726577i | \(-0.741110\pi\) |
0.447763 | + | 0.894152i | \(0.352221\pi\) | |||||||
\(14\) | 0.133469 | − | 0.111994i | 0.0356710 | − | 0.0299316i | ||||
\(15\) | −1.39293 | + | 3.61383i | −0.359653 | + | 0.933086i | ||||
\(16\) | −0.173648 | − | 0.984808i | −0.0434120 | − | 0.246202i | ||||
\(17\) | 0.00890995 | + | 0.0191074i | 0.00216098 | + | 0.00463424i | 0.907385 | − | 0.420300i | \(-0.138075\pi\) |
−0.905224 | + | 0.424934i | \(0.860297\pi\) | |||||||
\(18\) | −2.87511 | + | 0.856576i | −0.677671 | + | 0.201897i | ||||
\(19\) | −3.61463 | + | 2.43607i | −0.829253 | + | 0.558873i | ||||
\(20\) | 2.18822 | + | 0.460094i | 0.489301 | + | 0.102880i | ||||
\(21\) | −0.169645 | + | 0.249580i | −0.0370196 | + | 0.0544627i | ||||
\(22\) | −0.969919 | − | 0.679144i | −0.206787 | − | 0.144794i | ||||
\(23\) | −5.33961 | + | 0.467155i | −1.11339 | + | 0.0974086i | −0.628970 | − | 0.777429i | \(-0.716523\pi\) |
−0.484416 | + | 0.874838i | \(0.660968\pi\) | |||||||
\(24\) | 0.753710 | + | 1.55946i | 0.153850 | + | 0.318324i | ||||
\(25\) | −2.77771 | + | 4.15745i | −0.555541 | + | 0.831489i | ||||
\(26\) | −0.912264 | − | 0.526696i | −0.178910 | − | 0.103294i | ||||
\(27\) | 4.38797 | − | 2.78312i | 0.844465 | − | 0.535611i | ||||
\(28\) | 0.157907 | + | 0.0736333i | 0.0298416 | + | 0.0139154i | ||||
\(29\) | −6.37018 | + | 2.31856i | −1.18291 | + | 0.430545i | −0.857230 | − | 0.514934i | \(-0.827816\pi\) |
−0.325683 | + | 0.945479i | \(0.605594\pi\) | |||||||
\(30\) | −3.86392 | + | 0.264847i | −0.705452 | + | 0.0483542i | ||||
\(31\) | −2.85262 | + | 4.94088i | −0.512346 | + | 0.887409i | 0.487552 | + | 0.873094i | \(0.337890\pi\) |
−0.999898 | + | 0.0143149i | \(0.995443\pi\) | |||||||
\(32\) | 0.819152 | − | 0.573576i | 0.144807 | − | 0.101395i | ||||
\(33\) | 1.93671 | + | 0.674617i | 0.337137 | + | 0.117436i | ||||
\(34\) | −0.0135517 | + | 0.0161503i | −0.00232410 | + | 0.00276975i | ||||
\(35\) | −0.284345 | + | 0.266328i | −0.0480631 | + | 0.0450176i | ||||
\(36\) | −1.99140 | − | 2.24373i | −0.331899 | − | 0.373956i | ||||
\(37\) | 2.29125 | − | 2.29125i | 0.376679 | − | 0.376679i | −0.493223 | − | 0.869903i | \(-0.664181\pi\) |
0.869903 | + | 0.493223i | \(0.164181\pi\) | |||||||
\(38\) | −3.73544 | − | 2.24644i | −0.605968 | − | 0.364421i | ||||
\(39\) | 1.76874 | + | 0.447721i | 0.283225 | + | 0.0716927i | ||||
\(40\) | 0.507796 | + | 2.17765i | 0.0802896 | + | 0.344316i | ||||
\(41\) | −1.39028 | + | 0.245143i | −0.217125 | + | 0.0382850i | −0.281152 | − | 0.959663i | \(-0.590717\pi\) |
0.0640275 | + | 0.997948i | \(0.479605\pi\) | |||||||
\(42\) | −0.297891 | − | 0.0482739i | −0.0459656 | − | 0.00744882i | ||||
\(43\) | −8.71430 | − | 0.762403i | −1.32892 | − | 0.116265i | −0.599523 | − | 0.800358i | \(-0.704643\pi\) |
−0.729395 | + | 0.684092i | \(0.760199\pi\) | |||||||
\(44\) | 0.205609 | − | 1.16606i | 0.0309966 | − | 0.175791i | ||||
\(45\) | 6.31493 | − | 2.26309i | 0.941375 | − | 0.337362i | ||||
\(46\) | −2.68000 | − | 4.64190i | −0.395145 | − | 0.684411i | ||||
\(47\) | 3.72060 | + | 1.73495i | 0.542706 | + | 0.253068i | 0.674584 | − | 0.738198i | \(-0.264323\pi\) |
−0.131878 | + | 0.991266i | \(0.542101\pi\) | |||||||
\(48\) | −1.09482 | + | 1.34215i | −0.158024 | + | 0.193723i | ||||
\(49\) | 6.03589 | − | 3.48482i | 0.862270 | − | 0.497832i | ||||
\(50\) | −4.94183 | − | 0.760444i | −0.698881 | − | 0.107543i | ||||
\(51\) | 0.0149717 | − | 0.0333060i | 0.00209646 | − | 0.00466378i | ||||
\(52\) | 0.0918091 | − | 1.04938i | 0.0127316 | − | 0.145523i | ||||
\(53\) | 0.422288 | − | 0.0369454i | 0.0580057 | − | 0.00507484i | −0.0581159 | − | 0.998310i | \(-0.518509\pi\) |
0.116122 | + | 0.993235i | \(0.462954\pi\) | |||||||
\(54\) | 4.37680 | + | 2.80065i | 0.595607 | + | 0.381121i | ||||
\(55\) | 2.24839 | + | 1.39808i | 0.303173 | + | 0.188518i | ||||
\(56\) | 0.174231i | 0.0232826i | ||||||||
\(57\) | 7.28478 | + | 1.98292i | 0.964893 | + | 0.262644i | ||||
\(58\) | −4.79348 | − | 4.79348i | −0.629415 | − | 0.629415i | ||||
\(59\) | −6.34170 | − | 2.30819i | −0.825619 | − | 0.300501i | −0.105559 | − | 0.994413i | \(-0.533663\pi\) |
−0.720060 | + | 0.693912i | \(0.755886\pi\) | |||||||
\(60\) | −1.87299 | − | 3.38997i | −0.241803 | − | 0.437643i | ||||
\(61\) | −3.04574 | − | 2.55568i | −0.389968 | − | 0.327222i | 0.426633 | − | 0.904425i | \(-0.359700\pi\) |
−0.816601 | + | 0.577203i | \(0.804144\pi\) | |||||||
\(62\) | −5.68353 | − | 0.497245i | −0.721809 | − | 0.0631501i | ||||
\(63\) | 0.519240 | − | 0.0599885i | 0.0654180 | − | 0.00755784i | ||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 2.10107 | + | 1.06474i | 0.260606 | + | 0.132064i | ||||
\(66\) | 0.207076 | + | 2.04036i | 0.0254894 | + | 0.251151i | ||||
\(67\) | 6.76170 | − | 14.5005i | 0.826074 | − | 1.77152i | 0.221145 | − | 0.975241i | \(-0.429021\pi\) |
0.604929 | − | 0.796279i | \(-0.293202\pi\) | |||||||
\(68\) | −0.0203644 | − | 0.00545661i | −0.00246954 | − | 0.000661711i | ||||
\(69\) | 6.65511 | + | 6.47291i | 0.801181 | + | 0.779247i | ||||
\(70\) | −0.361544 | − | 0.145149i | −0.0432128 | − | 0.0173487i | ||||
\(71\) | 3.95549 | + | 4.71397i | 0.469430 | + | 0.559445i | 0.947863 | − | 0.318679i | \(-0.103239\pi\) |
−0.478432 | + | 0.878124i | \(0.658795\pi\) | |||||||
\(72\) | 1.19191 | − | 2.75306i | 0.140468 | − | 0.324451i | ||||
\(73\) | 3.74724 | − | 5.35161i | 0.438581 | − | 0.626358i | −0.537630 | − | 0.843181i | \(-0.680680\pi\) |
0.976211 | + | 0.216822i | \(0.0695693\pi\) | |||||||
\(74\) | 3.04490 | + | 1.10825i | 0.353963 | + | 0.128832i | ||||
\(75\) | 8.59483 | − | 1.06249i | 0.992446 | − | 0.122686i | ||||
\(76\) | 0.457302 | − | 4.33484i | 0.0524561 | − | 0.497241i | ||||
\(77\) | 0.145875 | + | 0.145875i | 0.0166240 | + | 0.0166240i | ||||
\(78\) | 0.341730 | + | 1.79224i | 0.0386933 | + | 0.202931i | ||||
\(79\) | −10.5286 | + | 1.85648i | −1.18456 | + | 0.208870i | −0.731015 | − | 0.682362i | \(-0.760953\pi\) |
−0.453548 | + | 0.891232i | \(0.649842\pi\) | |||||||
\(80\) | −1.75901 | + | 1.38053i | −0.196664 | + | 0.154348i | ||||
\(81\) | −8.61499 | − | 2.60422i | −0.957221 | − | 0.289358i | ||||
\(82\) | −0.809732 | − | 1.15642i | −0.0894199 | − | 0.127705i | ||||
\(83\) | 1.55242 | + | 5.79372i | 0.170400 | + | 0.635943i | 0.997289 | + | 0.0735780i | \(0.0234418\pi\) |
−0.826889 | + | 0.562365i | \(0.809892\pi\) | |||||||
\(84\) | −0.0821433 | − | 0.290382i | −0.00896256 | − | 0.0316833i | ||||
\(85\) | 0.0282881 | − | 0.0377119i | 0.00306828 | − | 0.00409043i | ||||
\(86\) | −2.99185 | − | 8.22004i | −0.322620 | − | 0.886390i | ||||
\(87\) | 10.2490 | + | 5.72912i | 1.09881 | + | 0.614226i | ||||
\(88\) | 1.14371 | − | 0.306455i | 0.121920 | − | 0.0326682i | ||||
\(89\) | −0.687430 | + | 3.89861i | −0.0728674 | + | 0.413252i | 0.926454 | + | 0.376409i | \(0.122841\pi\) |
−0.999321 | + | 0.0368429i | \(0.988270\pi\) | |||||||
\(90\) | 4.71987 | + | 4.76685i | 0.497518 | + | 0.502470i | ||||
\(91\) | 0.140595 | + | 0.117973i | 0.0147383 | + | 0.0123669i | ||||
\(92\) | 3.07437 | − | 4.39066i | 0.320526 | − | 0.457758i | ||||
\(93\) | 9.70689 | − | 1.85083i | 1.00656 | − | 0.191922i | ||||
\(94\) | 4.10523i | 0.423422i | ||||||||
\(95\) | 8.61419 | + | 4.56023i | 0.883797 | + | 0.467870i | ||||
\(96\) | −1.67909 | − | 0.425028i | −0.171372 | − | 0.0433792i | ||||
\(97\) | 10.7077 | − | 4.99306i | 1.08720 | − | 0.506969i | 0.205440 | − | 0.978670i | \(-0.434138\pi\) |
0.881759 | + | 0.471701i | \(0.156360\pi\) | |||||||
\(98\) | 5.70920 | + | 3.99762i | 0.576716 | + | 0.403821i | ||||
\(99\) | −1.30707 | − | 3.30293i | −0.131366 | − | 0.331957i | ||||
\(100\) | −1.39931 | − | 4.80020i | −0.139931 | − | 0.480020i | ||||
\(101\) | 12.6283 | + | 2.22671i | 1.25656 | + | 0.221566i | 0.762001 | − | 0.647576i | \(-0.224217\pi\) |
0.494562 | + | 0.869142i | \(0.335328\pi\) | |||||||
\(102\) | 0.0365128 | 0.000506740i | 0.00361531 | 5.01748e-5i | ||||||
\(103\) | −0.216284 | + | 0.807183i | −0.0213111 | + | 0.0795341i | −0.975762 | − | 0.218833i | \(-0.929775\pi\) |
0.954451 | + | 0.298367i | \(0.0964418\pi\) | |||||||
\(104\) | 0.989864 | − | 0.360281i | 0.0970642 | − | 0.0353285i | ||||
\(105\) | 0.671000 | + | 0.0714590i | 0.0654829 | + | 0.00697368i | ||||
\(106\) | 0.211951 | + | 0.367109i | 0.0205865 | + | 0.0356568i | ||||
\(107\) | −15.1590 | + | 4.06183i | −1.46547 | + | 0.392672i | −0.901376 | − | 0.433037i | \(-0.857442\pi\) |
−0.564096 | + | 0.825709i | \(0.690775\pi\) | |||||||
\(108\) | −0.688539 | + | 5.15033i | −0.0662547 | + | 0.495591i | ||||
\(109\) | −1.92348 | − | 2.29231i | −0.184236 | − | 0.219564i | 0.666019 | − | 0.745935i | \(-0.267997\pi\) |
−0.850255 | + | 0.526371i | \(0.823552\pi\) | |||||||
\(110\) | −0.316884 | + | 2.62859i | −0.0302137 | + | 0.250626i | ||||
\(111\) | −5.59729 | − | 0.411518i | −0.531271 | − | 0.0390596i | ||||
\(112\) | −0.157907 | + | 0.0736333i | −0.0149208 | + | 0.00695769i | ||||
\(113\) | 2.46000 | − | 2.46000i | 0.231418 | − | 0.231418i | −0.581867 | − | 0.813284i | \(-0.697677\pi\) |
0.813284 | + | 0.581867i | \(0.197677\pi\) | |||||||
\(114\) | 1.28155 | + | 7.44027i | 0.120028 | + | 0.696845i | ||||
\(115\) | 6.54977 | + | 10.0374i | 0.610770 | + | 0.935990i | ||||
\(116\) | 2.31856 | − | 6.37018i | 0.215273 | − | 0.591457i | ||||
\(117\) | −1.41452 | − | 2.82592i | −0.130772 | − | 0.261257i | ||||
\(118\) | −0.588188 | − | 6.72301i | −0.0541470 | − | 0.618904i | ||||
\(119\) | 0.00281389 | − | 0.00236113i | 0.000257949 | − | 0.000216445i | ||||
\(120\) | 2.28079 | − | 3.13017i | 0.208207 | − | 0.285744i | ||||
\(121\) | −4.79901 | + | 8.31213i | −0.436274 | + | 0.755648i | ||||
\(122\) | 1.02905 | − | 3.84046i | 0.0931657 | − | 0.347699i | ||||
\(123\) | 1.89475 | + | 1.54559i | 0.170843 | + | 0.139361i | ||||
\(124\) | −1.95131 | − | 5.36117i | −0.175233 | − | 0.481448i | ||||
\(125\) | 11.1266 | + | 1.09528i | 0.995190 | + | 0.0979649i | ||||
\(126\) | 0.273808 | + | 0.445239i | 0.0243928 | + | 0.0396650i | ||||
\(127\) | −9.95976 | − | 14.2240i | −0.883786 | − | 1.26218i | −0.964136 | − | 0.265410i | \(-0.914493\pi\) |
0.0803499 | − | 0.996767i | \(-0.474396\pi\) | |||||||
\(128\) | −0.0871557 | + | 0.996195i | −0.00770355 | + | 0.0880520i | ||||
\(129\) | 8.86180 | + | 12.2894i | 0.780238 | + | 1.08202i | ||||
\(130\) | −0.0770271 | + | 2.35419i | −0.00675573 | + | 0.206477i | ||||
\(131\) | 3.62538 | − | 9.96065i | 0.316751 | − | 0.870266i | −0.674500 | − | 0.738275i | \(-0.735641\pi\) |
0.991251 | − | 0.131991i | \(-0.0421371\pi\) | |||||||
\(132\) | −1.76168 | + | 1.04997i | −0.153334 | + | 0.0913879i | ||||
\(133\) | 0.572976 | + | 0.498469i | 0.0496834 | + | 0.0432228i | ||||
\(134\) | 15.9996 | 1.38215 | ||||||||
\(135\) | −10.1138 | − | 5.71944i | −0.870453 | − | 0.492251i | ||||
\(136\) | −0.00366098 | − | 0.0207624i | −0.000313926 | − | 0.00178036i | ||||
\(137\) | 0.254507 | + | 2.90903i | 0.0217440 | + | 0.248535i | 0.999286 | + | 0.0377927i | \(0.0120326\pi\) |
−0.977542 | + | 0.210743i | \(0.932412\pi\) | |||||||
\(138\) | −3.05388 | + | 8.76715i | −0.259964 | + | 0.746309i | ||||
\(139\) | −13.8604 | − | 2.44397i | −1.17563 | − | 0.207295i | −0.448490 | − | 0.893788i | \(-0.648038\pi\) |
−0.727136 | + | 0.686494i | \(0.759149\pi\) | |||||||
\(140\) | −0.0212453 | − | 0.389013i | −0.00179555 | − | 0.0328776i | ||||
\(141\) | −1.93546 | − | 6.84198i | −0.162995 | − | 0.576199i | ||||
\(142\) | −2.60065 | + | 5.57710i | −0.218241 | + | 0.468020i | ||||
\(143\) | 0.527119 | − | 1.13041i | 0.0440799 | − | 0.0945297i | ||||
\(144\) | 2.99884 | − | 0.0832545i | 0.249904 | − | 0.00693787i | ||||
\(145\) | 11.2871 | + | 10.1181i | 0.937343 | + | 0.840262i | ||||
\(146\) | 6.43385 | + | 1.13446i | 0.532470 | + | 0.0938888i | ||||
\(147\) | −11.4000 | − | 3.97097i | −0.940253 | − | 0.327520i | ||||
\(148\) | 0.282412 | + | 3.22799i | 0.0232142 | + | 0.265339i | ||||
\(149\) | −2.63897 | − | 14.9664i | −0.216193 | − | 1.22609i | −0.878824 | − | 0.477146i | \(-0.841671\pi\) |
0.662631 | − | 0.748946i | \(-0.269440\pi\) | |||||||
\(150\) | 4.59527 | + | 7.34053i | 0.375203 | + | 0.599352i | ||||
\(151\) | −17.3716 | −1.41368 | −0.706842 | − | 0.707372i | \(-0.749881\pi\) | ||||
−0.706842 | + | 0.707372i | \(0.749881\pi\) | |||||||
\(152\) | 4.12197 | − | 1.41753i | 0.334336 | − | 0.114977i | ||||
\(153\) | −0.0606152 | + | 0.0180590i | −0.00490045 | + | 0.00145998i | ||||
\(154\) | −0.0705583 | + | 0.193857i | −0.00568575 | + | 0.0156215i | ||||
\(155\) | 12.7505 | + | 0.417184i | 1.02414 | + | 0.0335091i | ||||
\(156\) | −1.47990 | + | 1.06715i | −0.118487 | + | 0.0854400i | ||||
\(157\) | −0.602158 | + | 6.88269i | −0.0480574 | + | 0.549299i | 0.933558 | + | 0.358427i | \(0.116687\pi\) |
−0.981615 | + | 0.190871i | \(0.938869\pi\) | |||||||
\(158\) | −6.13213 | − | 8.75759i | −0.487846 | − | 0.696717i | ||||
\(159\) | −0.526325 | − | 0.511916i | −0.0417403 | − | 0.0405976i | ||||
\(160\) | −1.99458 | − | 1.01077i | −0.157685 | − | 0.0799084i | ||||
\(161\) | 0.319406 | + | 0.877560i | 0.0251727 | + | 0.0691614i | ||||
\(162\) | −1.28063 | − | 8.90842i | −0.100616 | − | 0.699912i | ||||
\(163\) | 3.52150 | − | 13.1424i | 0.275825 | − | 1.02939i | −0.679462 | − | 0.733711i | \(-0.737787\pi\) |
0.955287 | − | 0.295682i | \(-0.0955467\pi\) | |||||||
\(164\) | 0.705862 | − | 1.22259i | 0.0551186 | − | 0.0954682i | ||||
\(165\) | −0.711144 | − | 4.53034i | −0.0553625 | − | 0.352686i | ||||
\(166\) | −4.59481 | + | 3.85550i | −0.356626 | + | 0.299245i | ||||
\(167\) | 1.60190 | + | 18.3098i | 0.123959 | + | 1.41685i | 0.762362 | + | 0.647151i | \(0.224040\pi\) |
−0.638403 | + | 0.769702i | \(0.720405\pi\) | |||||||
\(168\) | 0.228461 | − | 0.197168i | 0.0176261 | − | 0.0152118i | ||||
\(169\) | −4.06674 | + | 11.1733i | −0.312827 | + | 0.859484i | ||||
\(170\) | 0.0461337 | + | 0.00970003i | 0.00353829 | + | 0.000743958i | ||||
\(171\) | −5.64369 | − | 11.7961i | −0.431584 | − | 0.902073i | ||||
\(172\) | 6.18548 | − | 6.18548i | 0.471638 | − | 0.471638i | ||||
\(173\) | 2.95433 | − | 1.37763i | 0.224614 | − | 0.104739i | −0.307054 | − | 0.951692i | \(-0.599343\pi\) |
0.531668 | + | 0.846953i | \(0.321566\pi\) | |||||||
\(174\) | −0.860929 | + | 11.7100i | −0.0652669 | + | 0.887731i | ||||
\(175\) | 0.824933 | + | 0.279995i | 0.0623591 | + | 0.0211656i | ||||
\(176\) | 0.761094 | + | 0.907037i | 0.0573696 | + | 0.0683705i | ||||
\(177\) | 4.14994 | + | 10.9276i | 0.311929 | + | 0.821369i | ||||
\(178\) | −3.82386 | + | 1.02460i | −0.286610 | + | 0.0767970i | ||||
\(179\) | −5.22165 | − | 9.04417i | −0.390285 | − | 0.675993i | 0.602202 | − | 0.798343i | \(-0.294290\pi\) |
−0.992487 | + | 0.122351i | \(0.960957\pi\) | |||||||
\(180\) | −2.32553 | + | 6.29221i | −0.173335 | + | 0.468994i | ||||
\(181\) | 3.76249 | − | 1.36943i | 0.279663 | − | 0.101789i | −0.198381 | − | 0.980125i | \(-0.563568\pi\) |
0.478044 | + | 0.878336i | \(0.341346\pi\) | |||||||
\(182\) | −0.0475020 | + | 0.177280i | −0.00352108 | + | 0.0131409i | ||||
\(183\) | 0.0955649 | + | 6.88586i | 0.00706436 | + | 0.509018i | ||||
\(184\) | 5.27858 | + | 0.930756i | 0.389142 | + | 0.0686162i | ||||
\(185\) | −6.93362 | − | 2.10316i | −0.509770 | − | 0.154627i | ||||
\(186\) | 5.77973 | + | 8.01524i | 0.423791 | + | 0.587706i | ||||
\(187\) | −0.0204485 | − | 0.0143182i | −0.00149534 | − | 0.00104705i | ||||
\(188\) | −3.72060 | + | 1.73495i | −0.271353 | + | 0.126534i | ||||
\(189\) | −0.666255 | − | 0.612967i | −0.0484630 | − | 0.0445868i | ||||
\(190\) | −0.492458 | + | 9.73435i | −0.0357267 | + | 0.706204i | ||||
\(191\) | 22.1168i | 1.60032i | 0.599788 | + | 0.800159i | \(0.295252\pi\) | ||||
−0.599788 | + | 0.800159i | \(0.704748\pi\) | |||||||
\(192\) | −0.324409 | − | 1.70140i | −0.0234122 | − | 0.122788i | ||||
\(193\) | 11.5804 | − | 16.5385i | 0.833575 | − | 1.19047i | −0.145979 | − | 0.989288i | \(-0.546633\pi\) |
0.979554 | − | 0.201181i | \(-0.0644779\pi\) | |||||||
\(194\) | 9.05050 | + | 7.59428i | 0.649788 | + | 0.545237i | ||||
\(195\) | −0.981535 | − | 3.95994i | −0.0702892 | − | 0.283577i | ||||
\(196\) | −1.21027 | + | 6.86376i | −0.0864476 | + | 0.490268i | ||||
\(197\) | 13.6188 | − | 3.64914i | 0.970298 | − | 0.259990i | 0.261344 | − | 0.965246i | \(-0.415834\pi\) |
0.708953 | + | 0.705255i | \(0.249168\pi\) | |||||||
\(198\) | 2.44108 | − | 2.58049i | 0.173480 | − | 0.183388i | ||||
\(199\) | 3.38501 | + | 9.30025i | 0.239957 | + | 0.659277i | 0.999956 | + | 0.00935304i | \(0.00297721\pi\) |
−0.759999 | + | 0.649924i | \(0.774801\pi\) | |||||||
\(200\) | 3.75908 | − | 3.29686i | 0.265807 | − | 0.233123i | ||||
\(201\) | −26.6657 | + | 7.54317i | −1.88085 | + | 0.532054i | ||||
\(202\) | 3.31887 | + | 12.3862i | 0.233515 | + | 0.871488i | ||||
\(203\) | 0.677459 | + | 0.967512i | 0.0475483 | + | 0.0679060i | ||||
\(204\) | 0.0158903 | + | 0.0328777i | 0.00111254 | + | 0.00230190i | ||||
\(205\) | 1.94893 | + | 2.48324i | 0.136119 | + | 0.173437i | ||||
\(206\) | −0.822962 | + | 0.145110i | −0.0573385 | + | 0.0101103i | ||||
\(207\) | 0.956380 | − | 16.0516i | 0.0664730 | − | 1.11566i | ||||
\(208\) | 0.744860 | + | 0.744860i | 0.0516468 | + | 0.0516468i | ||||
\(209\) | 2.26430 | − | 4.63795i | 0.156625 | − | 0.320814i | ||||
\(210\) | 0.218813 | + | 0.638332i | 0.0150995 | + | 0.0440491i | ||||
\(211\) | 8.63122 | + | 3.14151i | 0.594198 | + | 0.216270i | 0.621575 | − | 0.783355i | \(-0.286493\pi\) |
−0.0273771 | + | 0.999625i | \(0.508715\pi\) | |||||||
\(212\) | −0.243140 | + | 0.347239i | −0.0166989 | + | 0.0238485i | ||||
\(213\) | 1.70498 | − | 10.5212i | 0.116823 | − | 0.720900i | ||||
\(214\) | −10.0877 | − | 12.0221i | −0.689583 | − | 0.821813i | ||||
\(215\) | 7.68236 | + | 17.9884i | 0.523932 | + | 1.22680i | ||||
\(216\) | −4.95877 | + | 1.55260i | −0.337402 | + | 0.105641i | ||||
\(217\) | 0.960160 | + | 0.257274i | 0.0651799 | + | 0.0174649i | ||||
\(218\) | 1.26464 | − | 2.71204i | 0.0856526 | − | 0.183682i | ||||
\(219\) | −11.2578 | + | 1.14256i | −0.760734 | + | 0.0772072i | ||||
\(220\) | −2.51623 | + | 0.823696i | −0.169644 | + | 0.0555335i | ||||
\(221\) | −0.0192330 | − | 0.0111042i | −0.00129375 | − | 0.000746948i | ||||
\(222\) | −1.99255 | − | 5.24678i | −0.133731 | − | 0.352141i | ||||
\(223\) | −20.6443 | − | 1.80614i | −1.38244 | − | 0.120948i | −0.628461 | − | 0.777841i | \(-0.716315\pi\) |
−0.753984 | + | 0.656893i | \(0.771870\pi\) | |||||||
\(224\) | −0.133469 | − | 0.111994i | −0.00891776 | − | 0.00748289i | ||||
\(225\) | −11.1195 | − | 10.0676i | −0.741300 | − | 0.671174i | ||||
\(226\) | 3.26916 | + | 1.18988i | 0.217461 | + | 0.0791495i | ||||
\(227\) | −0.447561 | − | 0.447561i | −0.0297057 | − | 0.0297057i | 0.692098 | − | 0.721804i | \(-0.256687\pi\) |
−0.721804 | + | 0.692098i | \(0.756687\pi\) | |||||||
\(228\) | −6.20157 | + | 4.30587i | −0.410709 | + | 0.285163i | ||||
\(229\) | 9.68915i | 0.640277i | 0.947371 | + | 0.320139i | \(0.103729\pi\) | ||||
−0.947371 | + | 0.320139i | \(0.896271\pi\) | |||||||
\(230\) | −6.32890 | + | 10.1781i | −0.417315 | + | 0.671123i | ||||
\(231\) | 0.0261998 | − | 0.356358i | 0.00172382 | − | 0.0234466i | ||||
\(232\) | 6.75321 | − | 0.590829i | 0.443370 | − | 0.0387898i | ||||
\(233\) | −0.0504192 | + | 0.576294i | −0.00330307 | + | 0.0377543i | −0.997667 | − | 0.0682629i | \(-0.978254\pi\) |
0.994364 | + | 0.106017i | \(0.0338099\pi\) | |||||||
\(234\) | 1.96336 | − | 2.47627i | 0.128349 | − | 0.161879i | ||||
\(235\) | −0.500580 | − | 9.16592i | −0.0326543 | − | 0.597918i | ||||
\(236\) | 5.84454 | − | 3.37435i | 0.380447 | − | 0.219651i | ||||
\(237\) | 14.3490 | + | 11.7048i | 0.932067 | + | 0.760307i | ||||
\(238\) | 0.00332911 | + | 0.00155239i | 0.000215794 | + | 0.000100627i | ||||
\(239\) | −4.53038 | − | 7.84685i | −0.293046 | − | 0.507570i | 0.681483 | − | 0.731834i | \(-0.261336\pi\) |
−0.974528 | + | 0.224264i | \(0.928002\pi\) | |||||||
\(240\) | 3.80080 | + | 0.744233i | 0.245341 | + | 0.0480400i | ||||
\(241\) | 0.572978 | − | 3.24952i | 0.0369088 | − | 0.209320i | −0.960776 | − | 0.277325i | \(-0.910552\pi\) |
0.997685 | + | 0.0680048i | \(0.0216633\pi\) | |||||||
\(242\) | −9.56150 | − | 0.836523i | −0.614636 | − | 0.0537737i | ||||
\(243\) | 6.33434 | + | 14.2435i | 0.406348 | + | 0.913718i | ||||
\(244\) | 3.91553 | − | 0.690414i | 0.250666 | − | 0.0441992i | ||||
\(245\) | −13.2346 | − | 8.22949i | −0.845529 | − | 0.525763i | ||||
\(246\) | −0.600022 | + | 2.37042i | −0.0382560 | + | 0.151132i | ||||
\(247\) | 1.64715 | − | 4.28602i | 0.104805 | − | 0.272713i | ||||
\(248\) | 4.03422 | − | 4.03422i | 0.256173 | − | 0.256173i | ||||
\(249\) | 5.84022 | − | 8.59205i | 0.370109 | − | 0.544499i | ||||
\(250\) | 3.70963 | + | 10.5470i | 0.234617 | + | 0.667049i | ||||
\(251\) | −5.39472 | + | 6.42918i | −0.340512 | + | 0.405806i | −0.908940 | − | 0.416926i | \(-0.863107\pi\) |
0.568428 | + | 0.822733i | \(0.307552\pi\) | |||||||
\(252\) | −0.287807 | + | 0.436321i | −0.0181301 | + | 0.0274856i | ||||
\(253\) | 5.19877 | − | 3.64022i | 0.326844 | − | 0.228859i | ||||
\(254\) | 8.68215 | − | 15.0379i | 0.544767 | − | 0.943564i | ||||
\(255\) | −0.0814619 | + | 0.00558369i | −0.00510134 | + | 0.000349664i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −21.4084 | − | 9.98289i | −1.33542 | − | 0.622716i | −0.381942 | − | 0.924186i | \(-0.624745\pi\) |
−0.953476 | + | 0.301470i | \(0.902523\pi\) | |||||||
\(258\) | −7.39282 | + | 13.2252i | −0.460257 | + | 0.823368i | ||||
\(259\) | −0.488927 | − | 0.282282i | −0.0303805 | − | 0.0175402i | ||||
\(260\) | −2.16618 | + | 0.925115i | −0.134341 | + | 0.0573732i | ||||
\(261\) | −4.08593 | − | 19.9223i | −0.252913 | − | 1.23316i | ||||
\(262\) | 10.5596 | − | 0.923842i | 0.652372 | − | 0.0570752i | ||||
\(263\) | −8.09780 | − | 5.67014i | −0.499332 | − | 0.349636i | 0.296620 | − | 0.954995i | \(-0.404140\pi\) |
−0.795952 | + | 0.605360i | \(0.793029\pi\) | |||||||
\(264\) | −1.69611 | − | 1.15289i | −0.104388 | − | 0.0709553i | ||||
\(265\) | −0.517995 | − | 0.793815i | −0.0318202 | − | 0.0487637i | ||||
\(266\) | −0.209616 | + | 0.729955i | −0.0128524 | + | 0.0447564i | ||||
\(267\) | 5.88998 | − | 3.51045i | 0.360461 | − | 0.214836i | ||||
\(268\) | 6.76170 | + | 14.5005i | 0.413037 | + | 0.885760i | ||||
\(269\) | −3.04002 | − | 17.2408i | −0.185354 | − | 1.05119i | −0.925500 | − | 0.378747i | \(-0.876355\pi\) |
0.740147 | − | 0.672445i | \(-0.234756\pi\) | |||||||
\(270\) | 0.909313 | − | 11.5833i | 0.0553390 | − | 0.704938i | ||||
\(271\) | −0.477497 | + | 0.400668i | −0.0290059 | + | 0.0243388i | −0.657175 | − | 0.753738i | \(-0.728249\pi\) |
0.628169 | + | 0.778077i | \(0.283804\pi\) | |||||||
\(272\) | 0.0172700 | − | 0.0120926i | 0.00104715 | − | 0.000733219i | ||||
\(273\) | −0.00441138 | − | 0.317859i | −0.000266989 | − | 0.0192377i | ||||
\(274\) | −2.52892 | + | 1.46007i | −0.152778 | + | 0.0882062i | ||||
\(275\) | 0.386997 | − | 5.90760i | 0.0233368 | − | 0.356242i | ||||
\(276\) | −9.23636 | + | 0.937401i | −0.555963 | + | 0.0564249i | ||||
\(277\) | 2.86699 | + | 0.768207i | 0.172261 | + | 0.0461571i | 0.343918 | − | 0.939000i | \(-0.388246\pi\) |
−0.171658 | + | 0.985157i | \(0.554912\pi\) | |||||||
\(278\) | −3.64268 | − | 13.5947i | −0.218474 | − | 0.815354i | ||||
\(279\) | −13.4117 | − | 10.6337i | −0.802936 | − | 0.636622i | ||||
\(280\) | 0.343587 | − | 0.183659i | 0.0205332 | − | 0.0109757i | ||||
\(281\) | −14.8251 | + | 17.6678i | −0.884390 | + | 1.05397i | 0.113780 | + | 0.993506i | \(0.463704\pi\) |
−0.998170 | + | 0.0604687i | \(0.980740\pi\) | |||||||
\(282\) | 5.38298 | − | 4.64567i | 0.320552 | − | 0.276645i | ||||
\(283\) | −1.87570 | − | 4.02245i | −0.111499 | − | 0.239110i | 0.842638 | − | 0.538480i | \(-0.181001\pi\) |
−0.954137 | + | 0.299370i | \(0.903223\pi\) | |||||||
\(284\) | −6.15365 | −0.365152 | ||||||||
\(285\) | −3.76861 | − | 16.4559i | −0.223233 | − | 0.974765i | ||||
\(286\) | 1.24727 | 0.0737526 | ||||||||
\(287\) | 0.103950 | + | 0.222921i | 0.00613597 | + | 0.0131586i | ||||
\(288\) | 1.34282 | + | 2.68269i | 0.0791265 | + | 0.158079i | ||||
\(289\) | 10.9271 | − | 13.0224i | 0.642771 | − | 0.766024i | ||||
\(290\) | −4.39997 | + | 14.5057i | −0.258375 | + | 0.851803i | ||||
\(291\) | −18.6644 | − | 8.39004i | −1.09413 | − | 0.491833i | ||||
\(292\) | 1.69089 | + | 6.31050i | 0.0989520 | + | 0.369294i | ||||
\(293\) | −28.0801 | − | 7.52404i | −1.64046 | − | 0.439559i | −0.683538 | − | 0.729915i | \(-0.739560\pi\) |
−0.956919 | + | 0.290356i | \(0.906226\pi\) | |||||||
\(294\) | −1.21891 | − | 12.0101i | −0.0710881 | − | 0.700442i | ||||
\(295\) | 2.13306 | + | 14.9390i | 0.124191 | + | 0.869784i | ||||
\(296\) | −2.80620 | + | 1.62016i | −0.163107 | + | 0.0941698i | ||||
\(297\) | −2.85183 | + | 5.45165i | −0.165480 | + | 0.316337i | ||||
\(298\) | 12.4488 | − | 8.71677i | 0.721142 | − | 0.504949i | ||||
\(299\) | 4.32523 | − | 3.62930i | 0.250134 | − | 0.209888i | ||||
\(300\) | −4.71074 | + | 7.26698i | −0.271975 | + | 0.419559i | ||||
\(301\) | 0.264658 | + | 1.50095i | 0.0152546 | + | 0.0865132i | ||||
\(302\) | −7.34157 | − | 15.7440i | −0.422460 | − | 0.905968i | ||||
\(303\) | −11.3710 | − | 19.0787i | −0.653246 | − | 1.09604i | ||||
\(304\) | 3.02674 | + | 3.13670i | 0.173595 | + | 0.179902i | ||||
\(305\) | −1.82930 | + | 8.70023i | −0.104746 | + | 0.498174i | ||||
\(306\) | −0.0419841 | − | 0.0473040i | −0.00240007 | − | 0.00270419i | ||||
\(307\) | −6.58261 | − | 4.60919i | −0.375689 | − | 0.263060i | 0.370447 | − | 0.928854i | \(-0.379204\pi\) |
−0.746136 | + | 0.665793i | \(0.768093\pi\) | |||||||
\(308\) | −0.205514 | + | 0.0179801i | −0.0117102 | + | 0.00102451i | ||||
\(309\) | 1.30318 | − | 0.629843i | 0.0741351 | − | 0.0358305i | ||||
\(310\) | 5.01049 | + | 11.7322i | 0.284577 | + | 0.666343i | ||||
\(311\) | 18.4798 | + | 10.6693i | 1.04790 | + | 0.605003i | 0.922060 | − | 0.387048i | \(-0.126505\pi\) |
0.125836 | + | 0.992051i | \(0.459839\pi\) | |||||||
\(312\) | −1.59259 | − | 0.890249i | −0.0901629 | − | 0.0504004i | ||||
\(313\) | 16.6632 | + | 7.77019i | 0.941861 | + | 0.439197i | 0.832016 | − | 0.554752i | \(-0.187187\pi\) |
0.109845 | + | 0.993949i | \(0.464965\pi\) | |||||||
\(314\) | −6.49232 | + | 2.36301i | −0.366383 | + | 0.133352i | ||||
\(315\) | −0.665634 | − | 0.960715i | −0.0375042 | − | 0.0541302i | ||||
\(316\) | 5.34552 | − | 9.25872i | 0.300709 | − | 0.520844i | ||||
\(317\) | −15.2430 | + | 10.6733i | −0.856133 | + | 0.599471i | −0.917095 | − | 0.398669i | \(-0.869472\pi\) |
0.0609615 | + | 0.998140i | \(0.480583\pi\) | |||||||
\(318\) | 0.241519 | − | 0.693358i | 0.0135437 | − | 0.0388816i | ||||
\(319\) | 5.15946 | − | 6.14881i | 0.288874 | − | 0.344267i | ||||
\(320\) | 0.0731230 | − | 2.23487i | 0.00408770 | − | 0.124933i | ||||
\(321\) | 22.4807 | + | 15.2806i | 1.25475 | + | 0.852882i | ||||
\(322\) | −0.660353 | + | 0.660353i | −0.0368000 | + | 0.0368000i | ||||
\(323\) | −0.0787532 | − | 0.0473611i | −0.00438195 | − | 0.00263524i | ||||
\(324\) | 7.53256 | − | 4.92550i | 0.418475 | − | 0.273639i | ||||
\(325\) | −0.115082 | − | 5.26570i | −0.00638362 | − | 0.292088i | ||||
\(326\) | 13.3993 | − | 2.36266i | 0.742119 | − | 0.130856i | ||||
\(327\) | −0.829099 | + | 5.11625i | −0.0458493 | + | 0.282929i | ||||
\(328\) | 1.40635 | + | 0.123040i | 0.0776528 | + | 0.00679374i | ||||
\(329\) | 0.124203 | − | 0.704393i | 0.00684756 | − | 0.0388344i | ||||
\(330\) | 3.80534 | − | 2.55912i | 0.209477 | − | 0.140875i | ||||
\(331\) | −3.06107 | − | 5.30193i | −0.168252 | − | 0.291420i | 0.769554 | − | 0.638582i | \(-0.220479\pi\) |
−0.937805 | + | 0.347162i | \(0.887145\pi\) | |||||||
\(332\) | −5.43612 | − | 2.53491i | −0.298346 | − | 0.139121i | ||||
\(333\) | 5.79455 | + | 7.80514i | 0.317539 | + | 0.427719i | ||||
\(334\) | −15.9173 | + | 9.18986i | −0.870956 | + | 0.502847i | ||||
\(335\) | −35.7229 | + | 1.95094i | −1.95175 | + | 0.106591i | ||||
\(336\) | 0.275247 | + | 0.123729i | 0.0150159 | + | 0.00674996i | ||||
\(337\) | −0.330975 | + | 3.78307i | −0.0180294 | + | 0.206077i | 0.981837 | + | 0.189727i | \(0.0607602\pi\) |
−0.999866 | + | 0.0163501i | \(0.994795\pi\) | |||||||
\(338\) | −11.8451 | + | 1.03631i | −0.644290 | + | 0.0563680i | ||||
\(339\) | −6.00953 | − | 0.441827i | −0.326393 | − | 0.0239967i | ||||
\(340\) | 0.0107057 | + | 0.0459107i | 0.000580600 | + | 0.00248986i | ||||
\(341\) | − | 6.75530i | − | 0.365820i | ||||||
\(342\) | 8.30580 | − | 10.1002i | 0.449126 | − | 0.546155i | ||||
\(343\) | −1.72106 | − | 1.72106i | −0.0929285 | − | 0.0929285i | ||||
\(344\) | 8.22004 | + | 2.99185i | 0.443195 | + | 0.161310i | ||||
\(345\) | 5.74948 | − | 19.9471i | 0.309542 | − | 1.07392i | ||||
\(346\) | 2.49711 | + | 2.09532i | 0.134245 | + | 0.112645i | ||||
\(347\) | 10.1664 | + | 0.889446i | 0.545762 | + | 0.0477479i | 0.356703 | − | 0.934218i | \(-0.383901\pi\) |
0.189059 | + | 0.981966i | \(0.439456\pi\) | |||||||
\(348\) | −10.9767 | + | 4.16858i | −0.588412 | + | 0.223460i | ||||
\(349\) | 15.8399 | + | 9.14516i | 0.847890 | + | 0.489529i | 0.859938 | − | 0.510398i | \(-0.170502\pi\) |
−0.0120486 | + | 0.999927i | \(0.503835\pi\) | |||||||
\(350\) | 0.0948703 | + | 0.865975i | 0.00507103 | + | 0.0462883i | ||||
\(351\) | −2.10476 | + | 5.05273i | −0.112344 | + | 0.269695i | ||||
\(352\) | −0.500402 | + | 1.07312i | −0.0266715 | + | 0.0571973i | ||||
\(353\) | 25.9287 | + | 6.94757i | 1.38004 | + | 0.369782i | 0.871137 | − | 0.491040i | \(-0.163383\pi\) |
0.508907 | + | 0.860821i | \(0.330050\pi\) | |||||||
\(354\) | −8.14993 | + | 8.37933i | −0.433164 | + | 0.445357i | ||||
\(355\) | 5.12651 | − | 12.7693i | 0.272087 | − | 0.677726i | ||||
\(356\) | −2.54464 | − | 3.03258i | −0.134865 | − | 0.160726i | ||||
\(357\) | −0.00628036 | − | 0.00101774i | −0.000332392 | − | 5.38647e-5i | ||||
\(358\) | 5.99003 | − | 8.55465i | 0.316583 | − | 0.452127i | ||||
\(359\) | −11.3260 | − | 4.12234i | −0.597765 | − | 0.217569i | 0.0253762 | − | 0.999678i | \(-0.491922\pi\) |
−0.623141 | + | 0.782109i | \(0.714144\pi\) | |||||||
\(360\) | −6.68549 | + | 0.551556i | −0.352356 | + | 0.0290696i | ||||
\(361\) | 7.13112 | − | 17.6110i | 0.375322 | − | 0.926894i | ||||
\(362\) | 2.83122 | + | 2.83122i | 0.148806 | + | 0.148806i | ||||
\(363\) | 16.3301 | − | 3.11369i | 0.857106 | − | 0.163426i | ||||
\(364\) | −0.180745 | + | 0.0318703i | −0.00947363 | + | 0.00167046i | ||||
\(365\) | −14.5035 | − | 1.74843i | −0.759146 | − | 0.0915172i | ||||
\(366\) | −6.20032 | + | 2.99670i | −0.324096 | + | 0.156640i | ||||
\(367\) | 12.0216 | + | 17.1686i | 0.627523 | + | 0.896196i | 0.999486 | − | 0.0320518i | \(-0.0102041\pi\) |
−0.371963 | + | 0.928247i | \(0.621315\pi\) | |||||||
\(368\) | 1.38727 | + | 5.17737i | 0.0723166 | + | 0.269889i | ||||
\(369\) | −0.117532 | − | 4.23354i | −0.00611849 | − | 0.220389i | ||||
\(370\) | −1.02417 | − | 7.17282i | −0.0532438 | − | 0.372897i | ||||
\(371\) | −0.0252605 | − | 0.0694027i | −0.00131146 | − | 0.00360321i | ||||
\(372\) | −4.82165 | + | 8.62560i | −0.249991 | + | 0.447217i | ||||
\(373\) | −11.0329 | + | 2.95626i | −0.571263 | + | 0.153070i | −0.532876 | − | 0.846193i | \(-0.678889\pi\) |
−0.0383873 | + | 0.999263i | \(0.512222\pi\) | |||||||
\(374\) | 0.00433479 | − | 0.0245838i | 0.000224147 | − | 0.00127120i | ||||
\(375\) | −11.1551 | − | 15.8292i | −0.576049 | − | 0.817415i | ||||
\(376\) | −3.14479 | − | 2.63879i | −0.162180 | − | 0.136085i | ||||
\(377\) | 4.09588 | − | 5.84952i | 0.210948 | − | 0.301266i | ||||
\(378\) | 0.273965 | − | 0.862884i | 0.0140913 | − | 0.0443819i | ||||
\(379\) | 18.0520i | 0.927268i | 0.886027 | + | 0.463634i | \(0.153455\pi\) | ||||
−0.886027 | + | 0.463634i | \(0.846545\pi\) | |||||||
\(380\) | −9.03044 | + | 3.66759i | −0.463252 | + | 0.188144i | ||||
\(381\) | −7.38031 | + | 29.1563i | −0.378105 | + | 1.49372i | ||||
\(382\) | −20.0447 | + | 9.34698i | −1.02557 | + | 0.478233i | ||||
\(383\) | −13.5316 | − | 9.47493i | −0.691433 | − | 0.484146i | 0.174275 | − | 0.984697i | \(-0.444242\pi\) |
−0.865707 | + | 0.500551i | \(0.833131\pi\) | |||||||
\(384\) | 1.40489 | − | 1.01306i | 0.0716930 | − | 0.0516973i | ||||
\(385\) | 0.133900 | − | 0.441437i | 0.00682418 | − | 0.0224977i | ||||
\(386\) | 19.8831 | + | 3.50592i | 1.01202 | + | 0.178447i | ||||
\(387\) | 6.08605 | − | 25.5273i | 0.309371 | − | 1.29763i | ||||
\(388\) | −3.05784 | + | 11.4120i | −0.155238 | + | 0.579358i | ||||
\(389\) | −13.6632 | + | 4.97299i | −0.692751 | + | 0.252141i | −0.664313 | − | 0.747455i | \(-0.731276\pi\) |
−0.0284383 | + | 0.999596i | \(0.509053\pi\) | |||||||
\(390\) | 3.17411 | − | 2.56311i | 0.160727 | − | 0.129788i | ||||
\(391\) | −0.0565018 | − | 0.0978640i | −0.00285742 | − | 0.00494919i | ||||
\(392\) | −6.73216 | + | 1.80388i | −0.340025 | + | 0.0911095i | ||||
\(393\) | −17.1636 | + | 6.51815i | −0.865787 | + | 0.328797i | ||||
\(394\) | 9.06279 | + | 10.8006i | 0.456577 | + | 0.544127i | ||||
\(395\) | 14.7593 | + | 18.8057i | 0.742623 | + | 0.946217i | ||||
\(396\) | 3.37037 | + | 1.12181i | 0.169367 | + | 0.0563730i | ||||
\(397\) | −35.6093 | + | 16.6049i | −1.78718 | + | 0.833377i | −0.823043 | + | 0.567979i | \(0.807725\pi\) |
−0.964139 | + | 0.265397i | \(0.914497\pi\) | |||||||
\(398\) | −6.99832 | + | 6.99832i | −0.350794 | + | 0.350794i | ||||
\(399\) | 0.00521126 | − | 1.31541i | 0.000260890 | − | 0.0658527i | ||||
\(400\) | 4.57663 | + | 2.01357i | 0.228831 | + | 0.100679i | ||||
\(401\) | −3.74108 | + | 10.2785i | −0.186821 | + | 0.513285i | −0.997378 | − | 0.0723745i | \(-0.976942\pi\) |
0.810557 | + | 0.585660i | \(0.199165\pi\) | |||||||
\(402\) | −18.1058 | − | 20.9794i | −0.903037 | − | 1.04636i | ||||
\(403\) | −0.523793 | − | 5.98698i | −0.0260920 | − | 0.298233i | ||||
\(404\) | −9.82307 | + | 8.24254i | −0.488716 | + | 0.410082i | ||||
\(405\) | 3.94558 | + | 19.7340i | 0.196057 | + | 0.980592i | ||||
\(406\) | −0.590557 | + | 1.02287i | −0.0293088 | + | 0.0507644i | ||||
\(407\) | −0.993013 | + | 3.70597i | −0.0492218 | + | 0.183698i | ||||
\(408\) | −0.0230818 | + | 0.0282962i | −0.00114272 | + | 0.00140087i | ||||
\(409\) | 1.98981 | + | 5.46697i | 0.0983899 | + | 0.270324i | 0.979116 | − | 0.203302i | \(-0.0651672\pi\) |
−0.880726 | + | 0.473626i | \(0.842945\pi\) | |||||||
\(410\) | −1.42693 | + | 2.81580i | −0.0704710 | + | 0.139062i | ||||
\(411\) | 3.52646 | − | 3.62572i | 0.173947 | − | 0.178843i | ||||
\(412\) | −0.479313 | − | 0.684530i | −0.0236141 | − | 0.0337244i | ||||
\(413\) | −0.102481 | + | 1.17136i | −0.00504274 | + | 0.0576388i | ||||
\(414\) | 14.9518 | − | 5.91691i | 0.734843 | − | 0.290800i | ||||
\(415\) | 9.78889 | − | 9.16862i | 0.480518 | − | 0.450070i | ||||
\(416\) | −0.360281 | + | 0.989864i | −0.0176642 | + | 0.0485321i | ||||
\(417\) | 12.4804 | + | 20.9402i | 0.611170 | + | 1.02545i | ||||
\(418\) | 5.16034 | + | 0.0920663i | 0.252401 | + | 0.00450311i | ||||
\(419\) | 36.3736 | 1.77696 | 0.888482 | − | 0.458911i | \(-0.151760\pi\) | ||||
0.888482 | + | 0.458911i | \(0.151760\pi\) | |||||||
\(420\) | −0.486051 | + | 0.468083i | −0.0237169 | + | 0.0228401i | ||||
\(421\) | 6.49842 | + | 36.8544i | 0.316714 | + | 1.79617i | 0.562445 | + | 0.826835i | \(0.309861\pi\) |
−0.245731 | + | 0.969338i | \(0.579028\pi\) | |||||||
\(422\) | 0.800539 | + | 9.15020i | 0.0389696 | + | 0.445425i | ||||
\(423\) | −6.78130 | + | 10.2806i | −0.329718 | + | 0.499859i | ||||
\(424\) | −0.417461 | − | 0.0736096i | −0.0202737 | − | 0.00357480i | ||||
\(425\) | −0.104187 | − | 0.0160322i | −0.00505383 | − | 0.000777678i | ||||
\(426\) | 10.2560 | − | 2.90121i | 0.496904 | − | 0.140564i | ||||
\(427\) | −0.292761 | + | 0.627829i | −0.0141677 | + | 0.0303828i | ||||
\(428\) | 6.63245 | − | 14.2233i | 0.320592 | − | 0.687511i | ||||
\(429\) | −2.07876 | + | 0.588040i | −0.100364 | + | 0.0283908i | ||||
\(430\) | −13.0563 | + | 14.5648i | −0.629632 | + | 0.702378i | ||||
\(431\) | 33.4789 | + | 5.90323i | 1.61262 | + | 0.284349i | 0.906011 | − | 0.423255i | \(-0.139112\pi\) |
0.706610 | + | 0.707603i | \(0.250224\pi\) | |||||||
\(432\) | −3.50280 | − | 3.83802i | −0.168528 | − | 0.184657i | ||||
\(433\) | 1.77322 | + | 20.2680i | 0.0852156 | + | 0.974019i | 0.911645 | + | 0.410979i | \(0.134813\pi\) |
−0.826429 | + | 0.563041i | \(0.809631\pi\) | |||||||
\(434\) | 0.172612 | + | 0.978929i | 0.00828562 | + | 0.0469901i | ||||
\(435\) | 0.494350 | − | 26.2503i | 0.0237022 | − | 1.25861i | ||||
\(436\) | 2.99240 | 0.143310 | ||||||||
\(437\) | 18.1627 | − | 14.6963i | 0.868840 | − | 0.703018i | ||||
\(438\) | −5.79328 | − | 9.72020i | −0.276814 | − | 0.464449i | ||||
\(439\) | 3.48257 | − | 9.56829i | 0.166214 | − | 0.456670i | −0.828422 | − | 0.560104i | \(-0.810761\pi\) |
0.994636 | + | 0.103435i | \(0.0329833\pi\) | |||||||
\(440\) | −1.80993 | − | 1.93237i | −0.0862849 | − | 0.0921222i | ||||
\(441\) | 7.69378 | + | 19.4419i | 0.366371 | + | 0.925807i | ||||
\(442\) | 0.00193559 | − | 0.0221239i | 9.20665e−5 | − | 0.00105232i | ||||
\(443\) | −3.07762 | − | 4.39530i | −0.146222 | − | 0.208827i | 0.739359 | − | 0.673311i | \(-0.235129\pi\) |
−0.885581 | + | 0.464484i | \(0.846240\pi\) | |||||||
\(444\) | 3.91311 | − | 4.02325i | 0.185708 | − | 0.190935i | ||||
\(445\) | 8.41275 | − | 2.75394i | 0.398803 | − | 0.130549i | ||||
\(446\) | −7.08774 | − | 19.4734i | −0.335614 | − | 0.922092i | ||||
\(447\) | −16.6383 | + | 20.3970i | −0.786962 | + | 0.964743i | ||||
\(448\) | 0.0450943 | − | 0.168294i | 0.00213051 | − | 0.00795116i | ||||
\(449\) | −6.67699 | + | 11.5649i | −0.315107 | + | 0.545781i | −0.979460 | − | 0.201638i | \(-0.935374\pi\) |
0.664354 | + | 0.747418i | \(0.268707\pi\) | |||||||
\(450\) | 4.42505 | − | 14.3324i | 0.208599 | − | 0.675638i | ||||
\(451\) | 1.28049 | − | 1.07445i | 0.0602957 | − | 0.0505941i | ||||
\(452\) | 0.303212 | + | 3.46573i | 0.0142619 | + | 0.163014i | ||||
\(453\) | 19.6585 | + | 22.7786i | 0.923639 | + | 1.07023i | ||||
\(454\) | 0.216481 | − | 0.594776i | 0.0101599 | − | 0.0279142i | ||||
\(455\) | 0.0844426 | − | 0.401612i | 0.00395873 | − | 0.0188279i | ||||
\(456\) | −6.52334 | − | 3.80079i | −0.305483 | − | 0.177988i | ||||
\(457\) | −12.9927 | + | 12.9927i | −0.607775 | + | 0.607775i | −0.942364 | − | 0.334589i | \(-0.891402\pi\) |
0.334589 | + | 0.942364i | \(0.391402\pi\) | |||||||
\(458\) | −8.78135 | + | 4.09481i | −0.410326 | + | 0.191338i | ||||
\(459\) | 0.0922748 | + | 0.0590454i | 0.00430702 | + | 0.00275600i | ||||
\(460\) | −11.8992 | − | 1.43448i | −0.554802 | − | 0.0668830i | ||||
\(461\) | −19.7131 | − | 23.4932i | −0.918132 | − | 1.09419i | −0.995268 | − | 0.0971666i | \(-0.969022\pi\) |
0.0771361 | − | 0.997021i | \(-0.475422\pi\) | |||||||
\(462\) | 0.334043 | − | 0.126858i | 0.0155411 | − | 0.00590199i | ||||
\(463\) | −37.7596 | + | 10.1177i | −1.75484 | + | 0.470207i | −0.985648 | − | 0.168814i | \(-0.946006\pi\) |
−0.769189 | + | 0.639021i | \(0.779339\pi\) | |||||||
\(464\) | 3.38950 | + | 5.87079i | 0.157354 | + | 0.272545i | ||||
\(465\) | −13.8820 | − | 17.1912i | −0.643763 | − | 0.797222i | ||||
\(466\) | −0.543608 | + | 0.197857i | −0.0251822 | + | 0.00916556i | ||||
\(467\) | −10.5631 | + | 39.4221i | −0.488803 | + | 1.82424i | 0.0734859 | + | 0.997296i | \(0.476588\pi\) |
−0.562289 | + | 0.826941i | \(0.690079\pi\) | |||||||
\(468\) | 3.07402 | + | 0.732887i | 0.142096 | + | 0.0338777i | ||||
\(469\) | −2.74527 | − | 0.484065i | −0.126765 | − | 0.0223521i | ||||
\(470\) | 8.09559 | − | 4.32736i | 0.373422 | − | 0.199606i | ||||
\(471\) | 9.70636 | − | 6.99919i | 0.447246 | − | 0.322506i | ||||
\(472\) | 5.52821 | + | 3.87089i | 0.254456 | + | 0.178172i | ||||
\(473\) | 9.38717 | − | 4.37731i | 0.431623 | − | 0.201269i | ||||
\(474\) | −4.54399 | + | 17.9513i | −0.208712 | + | 0.824528i | ||||
\(475\) | −0.0874475 | − | 21.7943i | −0.00401237 | − | 0.999992i | ||||
\(476\) | 0.00367327i | 0.000168364i | ||||||||
\(477\) | −0.0756362 | + | 1.26945i | −0.00346314 | + | 0.0581242i | ||||
\(478\) | 5.19704 | − | 7.42214i | 0.237707 | − | 0.339481i | ||||
\(479\) | 21.0703 | + | 17.6801i | 0.962727 | + | 0.807824i | 0.981394 | − | 0.192002i | \(-0.0614981\pi\) |
−0.0186679 | + | 0.999826i | \(0.505943\pi\) | |||||||
\(480\) | 0.931785 | + | 3.75923i | 0.0425300 | + | 0.171584i | ||||
\(481\) | −0.592717 | + | 3.36147i | −0.0270256 | + | 0.153270i | ||||
\(482\) | 3.18722 | − | 0.854012i | 0.145174 | − | 0.0388992i | ||||
\(483\) | 0.789247 | − | 1.41191i | 0.0359120 | − | 0.0642441i | ||||
\(484\) | −3.28272 | − | 9.01919i | −0.149214 | − | 0.409963i | ||||
\(485\) | −21.1335 | − | 15.8525i | −0.959621 | − | 0.719823i | ||||
\(486\) | −10.2320 | + | 11.7604i | −0.464131 | + | 0.533463i | ||||
\(487\) | −5.24352 | − | 19.5691i | −0.237606 | − | 0.886759i | −0.976957 | − | 0.213438i | \(-0.931534\pi\) |
0.739350 | − | 0.673321i | \(-0.235133\pi\) | |||||||
\(488\) | 2.28050 | + | 3.25690i | 0.103234 | + | 0.147433i | ||||
\(489\) | −21.2181 | + | 10.2550i | −0.959514 | + | 0.463747i | ||||
\(490\) | 1.86526 | − | 15.4726i | 0.0842640 | − | 0.698980i | ||||
\(491\) | 22.2954 | − | 3.93127i | 1.00618 | − | 0.177416i | 0.353807 | − | 0.935318i | \(-0.384887\pi\) |
0.652368 | + | 0.757902i | \(0.273776\pi\) | |||||||
\(492\) | −2.40191 | + | 0.457976i | −0.108286 | + | 0.0206472i | ||||
\(493\) | −0.101060 | − | 0.101060i | −0.00455150 | − | 0.00455150i | ||||
\(494\) | 4.58056 | − | 0.318528i | 0.206089 | − | 0.0143312i | ||||
\(495\) | −5.13564 | + | 6.05923i | −0.230830 | + | 0.272342i | ||||
\(496\) | 5.36117 | + | 1.95131i | 0.240724 | + | 0.0876163i | ||||
\(497\) | 0.614964 | − | 0.878260i | 0.0275849 | − | 0.0393954i | ||||
\(498\) | 10.2552 | + | 1.66188i | 0.459548 | + | 0.0744706i | ||||
\(499\) | 23.8480 | + | 28.4209i | 1.06758 | + | 1.27230i | 0.960570 | + | 0.278038i | \(0.0896841\pi\) |
0.107013 | + | 0.994258i | \(0.465871\pi\) | |||||||
\(500\) | −7.99105 | + | 7.81941i | −0.357371 | + | 0.349695i | ||||
\(501\) | 22.1959 | − | 22.8207i | 0.991640 | − | 1.01955i | ||||
\(502\) | −8.10673 | − | 2.17219i | −0.361821 | − | 0.0969496i | ||||
\(503\) | 6.35856 | − | 13.6360i | 0.283514 | − | 0.607998i | −0.712045 | − | 0.702134i | \(-0.752231\pi\) |
0.995559 | + | 0.0941355i | \(0.0300087\pi\) | |||||||
\(504\) | −0.517073 | − | 0.0764447i | −0.0230323 | − | 0.00340512i | ||||
\(505\) | −8.92050 | − | 27.2504i | −0.396957 | − | 1.21263i | ||||
\(506\) | 5.49625 | + | 3.17326i | 0.244338 | + | 0.141069i | ||||
\(507\) | 19.2531 | − | 7.31169i | 0.855060 | − | 0.324724i | ||||
\(508\) | 17.2982 | + | 1.51340i | 0.767485 | + | 0.0671462i | ||||
\(509\) | 14.7743 | + | 12.3971i | 0.654859 | + | 0.549492i | 0.908541 | − | 0.417796i | \(-0.137197\pi\) |
−0.253682 | + | 0.967288i | \(0.581642\pi\) | |||||||
\(510\) | −0.0394878 | − | 0.0714698i | −0.00174855 | − | 0.00316474i | ||||
\(511\) | −1.06962 | − | 0.389312i | −0.0473174 | − | 0.0172221i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −9.08101 | + | 20.7493i | −0.400937 | + | 0.916106i | ||||
\(514\) | − | 23.6215i | − | 1.04190i | ||||||
\(515\) | 1.81977 | − | 0.424343i | 0.0801885 | − | 0.0186988i | ||||
\(516\) | −15.1105 | − | 1.11094i | −0.665202 | − | 0.0489063i | ||||
\(517\) | −4.84231 | + | 0.423647i | −0.212965 | + | 0.0186320i | ||||
\(518\) | 0.0492050 | − | 0.562416i | 0.00216194 | − | 0.0247111i | ||||
\(519\) | −5.14967 | − | 2.31488i | −0.226045 | − | 0.101612i | ||||
\(520\) | −1.75391 | − | 1.57225i | −0.0769139 | − | 0.0689479i | ||||
\(521\) | 32.8524 | − | 18.9674i | 1.43929 | − | 0.830976i | 0.441492 | − | 0.897265i | \(-0.354450\pi\) |
0.997800 | + | 0.0662899i | \(0.0211162\pi\) | |||||||
\(522\) | 16.3290 | − | 12.1227i | 0.714700 | − | 0.530594i | ||||
\(523\) | 29.4220 | + | 13.7197i | 1.28653 | + | 0.599921i | 0.940975 | − | 0.338476i | \(-0.109911\pi\) |
0.345559 | + | 0.938397i | \(0.387689\pi\) | |||||||
\(524\) | 5.29995 | + | 9.17979i | 0.231529 | + | 0.401021i | ||||
\(525\) | −0.566389 | − | 1.39855i | −0.0247193 | − | 0.0610377i | ||||
\(526\) | 1.71661 | − | 9.73540i | 0.0748479 | − | 0.424484i | ||||
\(527\) | −0.119824 | − | 0.0104833i | −0.00521963 | − | 0.000456659i | ||||
\(528\) | 0.328063 | − | 2.02443i | 0.0142771 | − | 0.0881020i | ||||
\(529\) | 5.64263 | − | 0.994948i | 0.245332 | − | 0.0432586i | ||||
\(530\) | 0.500526 | − | 0.804943i | 0.0217415 | − | 0.0349645i | ||||
\(531\) | 9.63256 | − | 17.8078i | 0.418017 | − | 0.772793i | ||||
\(532\) | −0.750152 | + | 0.118516i | −0.0325232 | + | 0.00513830i | ||||
\(533\) | 1.05154 | − | 1.05154i | 0.0455471 | − | 0.0455471i | ||||
\(534\) | 5.67076 | + | 3.85455i | 0.245398 | + | 0.166803i | ||||
\(535\) | 23.9892 | + | 25.6121i | 1.03714 | + | 1.10731i | ||||
\(536\) | −10.2843 | + | 12.2564i | −0.444215 | + | 0.529395i | ||||
\(537\) | −5.95010 | + | 17.0817i | −0.256766 | + | 0.737129i | ||||
\(538\) | 14.3407 | − | 10.0415i | 0.618273 | − | 0.432919i | ||||
\(539\) | −4.12621 | + | 7.14681i | −0.177728 | + | 0.307835i | ||||
\(540\) | 10.8823 | − | 4.07120i | 0.468301 | − | 0.175197i | ||||
\(541\) | 21.9271 | − | 7.98082i | 0.942721 | − | 0.343122i | 0.175481 | − | 0.984483i | \(-0.443852\pi\) |
0.767240 | + | 0.641361i | \(0.221630\pi\) | |||||||
\(542\) | −0.564927 | − | 0.263430i | −0.0242657 | − | 0.0113153i | ||||
\(543\) | −6.05347 | − | 3.38385i | −0.259779 | − | 0.145215i | ||||
\(544\) | 0.0182582 | + | 0.0105414i | 0.000782813 | + | 0.000451957i | ||||
\(545\) | −2.49293 | + | 6.20949i | −0.106785 | + | 0.265985i | ||||
\(546\) | 0.286214 | − | 0.138331i | 0.0122488 | − | 0.00592002i | ||||
\(547\) | 2.68584 | − | 0.234980i | 0.114838 | − | 0.0100470i | −0.0295918 | − | 0.999562i | \(-0.509421\pi\) |
0.144430 | + | 0.989515i | \(0.453865\pi\) | |||||||
\(548\) | −2.39204 | − | 1.67493i | −0.102183 | − | 0.0715493i | ||||
\(549\) | 8.92094 | − | 7.91767i | 0.380737 | − | 0.337918i | ||||
\(550\) | 5.51765 | − | 2.14592i | 0.235274 | − | 0.0915024i | ||||
\(551\) | 17.3777 | − | 23.8989i | 0.740315 | − | 1.01813i | ||||
\(552\) | −4.75303 | − | 7.97482i | −0.202302 | − | 0.339431i | ||||
\(553\) | 0.787217 | + | 1.68819i | 0.0334759 | + | 0.0717892i | ||||
\(554\) | 0.515409 | + | 2.92303i | 0.0218976 | + | 0.124188i | ||||
\(555\) | 5.08864 | + | 11.4717i | 0.216001 | + | 0.486948i | ||||
\(556\) | 10.7815 | − | 9.04675i | 0.457237 | − | 0.383668i | ||||
\(557\) | 11.1925 | − | 7.83708i | 0.474242 | − | 0.332068i | −0.311899 | − | 0.950115i | \(-0.600965\pi\) |
0.786141 | + | 0.618047i | \(0.212076\pi\) | |||||||
\(558\) | 3.96937 | − | 16.6491i | 0.168037 | − | 0.704812i | ||||
\(559\) | 7.98011 | − | 4.60732i | 0.337523 | − | 0.194869i | ||||
\(560\) | 0.311657 | + | 0.233778i | 0.0131699 | + | 0.00987892i | ||||
\(561\) | 0.00436574 | + | 0.0430163i | 0.000184322 | + | 0.00181615i | ||||
\(562\) | −22.2778 | − | 5.96933i | −0.939734 | − | 0.251801i | ||||
\(563\) | −9.50570 | − | 35.4757i | −0.400617 | − | 1.49512i | −0.811998 | − | 0.583660i | \(-0.801620\pi\) |
0.411381 | − | 0.911464i | \(-0.365047\pi\) | |||||||
\(564\) | 6.48535 | + | 2.91530i | 0.273083 | + | 0.122756i | ||||
\(565\) | −7.44428 | − | 2.25806i | −0.313183 | − | 0.0949971i | ||||
\(566\) | 2.85287 | − | 3.39992i | 0.119915 | − | 0.142909i | ||||
\(567\) | −0.0497882 | + | 1.56729i | −0.00209091 | + | 0.0658200i | ||||
\(568\) | −2.60065 | − | 5.57710i | −0.109121 | − | 0.234010i | ||||
\(569\) | −37.4018 | −1.56796 | −0.783982 | − | 0.620783i | \(-0.786815\pi\) | ||||
−0.783982 | + | 0.620783i | \(0.786815\pi\) | |||||||
\(570\) | 13.3215 | − | 10.3701i | 0.557974 | − | 0.434356i | ||||
\(571\) | 29.3354 | 1.22765 | 0.613823 | − | 0.789443i | \(-0.289631\pi\) | ||||
0.613823 | + | 0.789443i | \(0.289631\pi\) | |||||||
\(572\) | 0.527119 | + | 1.13041i | 0.0220400 | + | 0.0472648i | ||||
\(573\) | 29.0007 | − | 25.0284i | 1.21152 | − | 1.04558i | ||||
\(574\) | −0.158104 | + | 0.188421i | −0.00659914 | + | 0.00786455i | ||||
\(575\) | 12.8897 | − | 23.4968i | 0.537537 | − | 0.979883i | ||||
\(576\) | −1.86384 | + | 2.35076i | −0.0776601 | + | 0.0979485i | ||||
\(577\) | −4.70641 | − | 17.5645i | −0.195930 | − | 0.731222i | −0.992024 | − | 0.126048i | \(-0.959771\pi\) |
0.796094 | − | 0.605173i | \(-0.206896\pi\) | |||||||
\(578\) | 16.4203 | + | 4.39981i | 0.682995 | + | 0.183008i | ||||
\(579\) | −34.7910 | + | 3.53095i | −1.44587 | + | 0.146741i | ||||
\(580\) | −15.0061 | + | 2.14264i | −0.623095 | + | 0.0889681i | ||||
\(581\) | 0.905045 | − | 0.522528i | 0.0375476 | − | 0.0216781i | ||||
\(582\) | −0.283973 | − | 20.4615i | −0.0117711 | − | 0.848157i | ||||
\(583\) | −0.411150 | + | 0.287890i | −0.0170281 | + | 0.0119232i | ||||
\(584\) | −5.00465 | + | 4.19940i | −0.207094 | + | 0.173772i | ||||
\(585\) | −4.08172 | + | 5.76828i | −0.168758 | + | 0.238489i | ||||
\(586\) | −5.04807 | − | 28.6290i | −0.208534 | − | 1.18265i | ||||
\(587\) | −11.5830 | − | 24.8398i | −0.478081 | − | 1.02525i | −0.986443 | − | 0.164105i | \(-0.947526\pi\) |
0.508361 | − | 0.861144i | \(-0.330251\pi\) | |||||||
\(588\) | 10.3697 | − | 6.18038i | 0.427639 | − | 0.254875i | ||||
\(589\) | −1.72517 | − | 24.8087i | −0.0710844 | − | 1.02222i | ||||
\(590\) | −12.6379 | + | 8.24671i | −0.520294 | + | 0.339512i | ||||
\(591\) | −20.1966 | − | 13.7281i | −0.830776 | − | 0.564698i | ||||
\(592\) | −2.65431 | − | 1.85857i | −0.109092 | − | 0.0763868i | ||||
\(593\) | 28.5473 | − | 2.49756i | 1.17230 | − | 0.102563i | 0.515675 | − | 0.856784i | \(-0.327541\pi\) |
0.656620 | + | 0.754222i | \(0.271986\pi\) | |||||||
\(594\) | −6.14611 | − | 0.280666i | −0.252178 | − | 0.0115159i | ||||
\(595\) | −0.00762234 | − | 0.00306014i | −0.000312485 | − | 0.000125454i | ||||
\(596\) | 13.1612 | + | 7.59862i | 0.539103 | + | 0.311251i | ||||
\(597\) | 8.36432 | − | 14.9632i | 0.342329 | − | 0.612403i | ||||
\(598\) | 5.11718 | + | 2.38618i | 0.209257 | + | 0.0975782i | ||||
\(599\) | −16.0206 | + | 5.83100i | −0.654582 | + | 0.238248i | −0.647895 | − | 0.761729i | \(-0.724351\pi\) |
−0.00668653 | + | 0.999978i | \(0.502128\pi\) | |||||||
\(600\) | −8.57696 | − | 1.19822i | −0.350153 | − | 0.0489171i | ||||
\(601\) | −15.3348 | + | 26.5606i | −0.625518 | + | 1.08343i | 0.362923 | + | 0.931819i | \(0.381779\pi\) |
−0.988440 | + | 0.151609i | \(0.951554\pi\) | |||||||
\(602\) | −1.24847 | + | 0.874189i | −0.0508839 | + | 0.0356293i | ||||
\(603\) | 40.0671 | + | 26.4292i | 1.63166 | + | 1.07628i | ||||
\(604\) | 11.1663 | − | 13.3074i | 0.454349 | − | 0.541472i | ||||
\(605\) | 21.4503 | + | 0.701836i | 0.872081 | + | 0.0285337i | ||||
\(606\) | 12.4856 | − | 18.3686i | 0.507193 | − | 0.746175i | ||||
\(607\) | −11.0024 | + | 11.0024i | −0.446573 | + | 0.446573i | −0.894214 | − | 0.447640i | \(-0.852264\pi\) |
0.447640 | + | 0.894214i | \(0.352264\pi\) | |||||||
\(608\) | −1.56366 | + | 4.06878i | −0.0634148 | + | 0.165011i | ||||
\(609\) | 0.502006 | − | 1.98320i | 0.0203423 | − | 0.0803633i | ||||
\(610\) | −8.65819 | + | 2.01897i | −0.350560 | + | 0.0817455i | ||||
\(611\) | −4.25872 | + | 0.750927i | −0.172289 | + | 0.0303792i | ||||
\(612\) | 0.0251288 | − | 0.0580420i | 0.00101577 | − | 0.00234621i | ||||
\(613\) | 18.0753 | + | 1.58138i | 0.730053 | + | 0.0638714i | 0.446120 | − | 0.894973i | \(-0.352805\pi\) |
0.283933 | + | 0.958844i | \(0.408361\pi\) | |||||||
\(614\) | 1.39542 | − | 7.91380i | 0.0563144 | − | 0.319375i | ||||
\(615\) | 1.05065 | − | 5.36569i | 0.0423664 | − | 0.216365i | ||||
\(616\) | −0.103149 | − | 0.178660i | −0.00415601 | − | 0.00719842i | ||||
\(617\) | 28.8047 | + | 13.4319i | 1.15964 | + | 0.540747i | 0.904632 | − | 0.426194i | \(-0.140146\pi\) |
0.255003 | + | 0.966940i | \(0.417924\pi\) | |||||||
\(618\) | 1.12158 | + | 0.914895i | 0.0451165 | + | 0.0368025i | ||||
\(619\) | 27.0379 | − | 15.6103i | 1.08674 | − | 0.627432i | 0.154037 | − | 0.988065i | \(-0.450773\pi\) |
0.932708 | + | 0.360633i | \(0.117439\pi\) | |||||||
\(620\) | −8.51544 | + | 9.49928i | −0.341988 | + | 0.381500i | ||||
\(621\) | −22.1299 | + | 16.9106i | −0.888042 | + | 0.678600i | ||||
\(622\) | −1.85979 | + | 21.2575i | −0.0745707 | + | 0.852348i | ||||
\(623\) | 0.687113 | − | 0.0601146i | 0.0275286 | − | 0.00240844i | ||||
\(624\) | 0.133780 | − | 1.81962i | 0.00535548 | − | 0.0728429i | ||||
\(625\) | −9.56870 | − | 23.0963i | −0.382748 | − | 0.923853i | ||||
\(626\) | 18.3858i | 0.734845i | ||||||||
\(627\) | −8.64389 | + | 2.27946i | −0.345204 | + | 0.0910329i | ||||
\(628\) | −4.88539 | − | 4.88539i | −0.194948 | − | 0.194948i | ||||
\(629\) | 0.0641949 | + | 0.0233650i | 0.00255962 | + | 0.000931624i | ||||
\(630\) | 0.589395 | − | 1.00928i | 0.0234820 | − | 0.0402109i | ||||
\(631\) | −0.309647 | − | 0.259824i | −0.0123268 | − | 0.0103434i | 0.636603 | − | 0.771191i | \(-0.280339\pi\) |
−0.648930 | + | 0.760848i | \(0.724783\pi\) | |||||||
\(632\) | 10.6504 | + | 0.931786i | 0.423649 | + | 0.0370645i | ||||
\(633\) | −5.64818 | − | 14.8728i | −0.224495 | − | 0.591139i | ||||
\(634\) | −16.1153 | − | 9.30415i | −0.640018 | − | 0.369515i | ||||
\(635\) | −17.5513 | + | 34.6345i | −0.696503 | + | 1.37443i | ||||
\(636\) | 0.730466 | − | 0.0741352i | 0.0289649 | − | 0.00293965i | ||||
\(637\) | −3.10276 | + | 6.65390i | −0.122936 | + | 0.263637i | ||||
\(638\) | 7.75319 | + | 2.07746i | 0.306952 | + | 0.0822475i | ||||
\(639\) | −15.7253 | + | 9.67060i | −0.622085 | + | 0.382563i | ||||
\(640\) | 2.05639 | − | 0.878226i | 0.0812858 | − | 0.0347149i | ||||
\(641\) | −23.9834 | − | 28.5824i | −0.947289 | − | 1.12894i | −0.991525 | − | 0.129914i | \(-0.958530\pi\) |
0.0442360 | − | 0.999021i | \(-0.485915\pi\) | |||||||
\(642\) | −4.34822 | + | 26.8323i | −0.171611 | + | 1.05899i | ||||
\(643\) | −22.2622 | + | 31.7937i | −0.877935 | + | 1.25382i | 0.0882837 | + | 0.996095i | \(0.471862\pi\) |
−0.966218 | + | 0.257725i | \(0.917027\pi\) | |||||||
\(644\) | −0.877560 | − | 0.319406i | −0.0345807 | − | 0.0125864i | ||||
\(645\) | 14.8936 | − | 30.4300i | 0.586435 | − | 1.19818i | ||||
\(646\) | 0.00964117 | − | 0.0913903i | 0.000379327 | − | 0.00359570i | ||||
\(647\) | 9.29410 | + | 9.29410i | 0.365389 | + | 0.365389i | 0.865792 | − | 0.500404i | \(-0.166815\pi\) |
−0.500404 | + | 0.865792i | \(0.666815\pi\) | |||||||
\(648\) | 7.64742 | + | 4.74521i | 0.300419 | + | 0.186409i | ||||
\(649\) | 7.86941 | − | 1.38759i | 0.308901 | − | 0.0544676i | ||||
\(650\) | 4.72371 | − | 2.32968i | 0.185279 | − | 0.0913776i | ||||
\(651\) | −0.749211 | − | 1.55015i | −0.0293639 | − | 0.0607553i | ||||
\(652\) | 7.80409 | + | 11.1454i | 0.305632 | + | 0.436487i | ||||
\(653\) | 5.66296 | + | 21.1345i | 0.221609 | + | 0.827055i | 0.983735 | + | 0.179627i | \(0.0574889\pi\) |
−0.762126 | + | 0.647429i | \(0.775844\pi\) | |||||||
\(654\) | −4.98729 | + | 1.41080i | −0.195019 | + | 0.0551668i | ||||
\(655\) | −23.4641 | + | 3.35030i | −0.916819 | + | 0.130907i | ||||
\(656\) | 0.482838 | + | 1.32659i | 0.0188517 | + | 0.0517945i | ||||
\(657\) | 14.2381 | + | 13.4689i | 0.555480 | + | 0.525471i | ||||
\(658\) | 0.690887 | − | 0.185123i | 0.0269336 | − | 0.00721683i | ||||
\(659\) | 8.35945 | − | 47.4088i | 0.325638 | − | 1.84679i | −0.179515 | − | 0.983755i | \(-0.557453\pi\) |
0.505153 | − | 0.863030i | \(-0.331436\pi\) | |||||||
\(660\) | 3.92756 | + | 2.36728i | 0.152880 | + | 0.0921462i | ||||
\(661\) | 13.4232 | + | 11.2634i | 0.522102 | + | 0.438096i | 0.865364 | − | 0.501144i | \(-0.167087\pi\) |
−0.343262 | + | 0.939240i | \(0.611532\pi\) | |||||||
\(662\) | 3.51151 | − | 5.01496i | 0.136479 | − | 0.194912i | ||||
\(663\) | 0.00720460 | + | 0.0377853i | 0.000279803 | + | 0.00146746i | ||||
\(664\) | − | 5.99810i | − | 0.232771i | ||||||
\(665\) | 0.379010 | − | 1.65536i | 0.0146974 | − | 0.0641921i | ||||
\(666\) | −4.62498 | + | 8.55024i | −0.179214 | + | 0.331315i | ||||
\(667\) | 32.9312 | − | 15.3561i | 1.27510 | − | 0.594589i | ||||
\(668\) | −15.0558 | − | 10.5422i | −0.582526 | − | 0.407889i | ||||
\(669\) | 20.9937 | + | 29.1138i | 0.811665 | + | 1.12560i | ||||
\(670\) | −16.8653 | − | 31.5514i | −0.651563 | − | 1.21894i | ||||
\(671\) | 4.63620 | + | 0.817487i | 0.178978 | + | 0.0315587i | ||||
\(672\) | 0.00418779 | + | 0.301748i | 0.000161547 | + | 0.0116402i | ||||
\(673\) | −8.87067 | + | 33.1058i | −0.341939 | + | 1.27613i | 0.554208 | + | 0.832378i | \(0.313021\pi\) |
−0.896147 | + | 0.443757i | \(0.853646\pi\) | |||||||
\(674\) | −3.56850 | + | 1.29883i | −0.137453 | + | 0.0500290i | ||||
\(675\) | −0.617824 | + | 25.9734i | −0.0237800 | + | 0.999717i | ||||
\(676\) | −5.94518 | − | 10.2974i | −0.228661 | − | 0.396052i | ||||
\(677\) | −38.5981 | + | 10.3423i | −1.48345 | + | 0.397489i | −0.907519 | − | 0.420012i | \(-0.862026\pi\) |
−0.575929 | + | 0.817500i | \(0.695359\pi\) | |||||||
\(678\) | −2.13931 | − | 5.63321i | −0.0821596 | − | 0.216342i | ||||
\(679\) | −1.32316 | − | 1.57688i | −0.0507782 | − | 0.0605151i | ||||
\(680\) | −0.0370848 | + | 0.0291054i | −0.00142214 | + | 0.00111614i | ||||
\(681\) | −0.0803838 | + | 1.09335i | −0.00308032 | + | 0.0418971i | ||||
\(682\) | 6.12238 | − | 2.85491i | 0.234438 | − | 0.109320i | ||||
\(683\) | −29.7592 | + | 29.7592i | −1.13870 | + | 1.13870i | −0.150021 | + | 0.988683i | \(0.547934\pi\) |
−0.988683 | + | 0.150021i | \(0.952066\pi\) | |||||||
\(684\) | 12.6641 | + | 3.25909i | 0.484222 | + | 0.124614i | ||||
\(685\) | 5.46838 | − | 3.56833i | 0.208936 | − | 0.136339i | ||||
\(686\) | 0.832459 | − | 2.28716i | 0.0317834 | − | 0.0873243i | ||||
\(687\) | 12.7049 | − | 10.9647i | 0.484722 | − | 0.418329i | ||||
\(688\) | 0.762403 | + | 8.71430i | 0.0290663 | + | 0.332230i | ||||
\(689\) | −0.342065 | + | 0.287026i | −0.0130316 | + | 0.0109348i | ||||
\(690\) | 20.5081 | − | 3.21923i | 0.780730 | − | 0.122554i | ||||
\(691\) | −12.7205 | + | 22.0325i | −0.483909 | + | 0.838155i | −0.999829 | − | 0.0184819i | \(-0.994117\pi\) |
0.515920 | + | 0.856637i | \(0.327450\pi\) | |||||||
\(692\) | −0.843683 | + | 3.14867i | −0.0320720 | + | 0.119694i | ||||
\(693\) | −0.496924 | + | 0.368917i | −0.0188766 | + | 0.0140140i | ||||
\(694\) | 3.49040 | + | 9.58979i | 0.132494 | + | 0.364024i | ||||
\(695\) | 9.79086 | + | 29.9092i | 0.371388 | + | 1.13452i | ||||
\(696\) | −8.41697 | − | 8.18654i | −0.319044 | − | 0.310310i | ||||
\(697\) | −0.0170714 | − | 0.0243804i | −0.000646624 | − | 0.000923474i | ||||
\(698\) | −1.59411 | + | 18.2207i | −0.0603378 | + | 0.689665i | ||||
\(699\) | 0.812723 | − | 0.586049i | 0.0307400 | − | 0.0221664i | ||||
\(700\) | −0.744746 | + | 0.451958i | −0.0281487 | + | 0.0170824i | ||||
\(701\) | −0.448403 | + | 1.23198i | −0.0169360 | + | 0.0465311i | −0.947873 | − | 0.318650i | \(-0.896771\pi\) |
0.930937 | + | 0.365181i | \(0.118993\pi\) | |||||||
\(702\) | −5.46884 | + | 0.227813i | −0.206408 | + | 0.00859827i | ||||
\(703\) | −2.70038 | + | 13.8637i | −0.101847 | + | 0.522879i | ||||
\(704\) | −1.18405 | −0.0446256 | ||||||||
\(705\) | −11.4523 | + | 11.0290i | −0.431320 | + | 0.415375i | ||||
\(706\) | 4.66130 | + | 26.4355i | 0.175430 | + | 0.994915i | ||||
\(707\) | −0.194722 | − | 2.22568i | −0.00732328 | − | 0.0837054i | ||||
\(708\) | −11.0386 | − | 3.84509i | −0.414855 | − | 0.144507i | ||||
\(709\) | −41.7823 | − | 7.36734i | −1.56917 | − | 0.276686i | −0.679631 | − | 0.733554i | \(-0.737860\pi\) |
−0.889535 | + | 0.456868i | \(0.848971\pi\) | |||||||
\(710\) | 13.7395 | − | 0.750359i | 0.515635 | − | 0.0281605i | ||||
\(711\) | −0.890077 | − | 32.0608i | −0.0333805 | − | 1.20237i | ||||
\(712\) | 1.67304 | − | 3.58785i | 0.0626999 | − | 0.134460i | ||||
\(713\) | 12.9237 | − | 27.7150i | 0.483997 | − | 1.03794i | ||||
\(714\) | −0.00173180 | − | 0.00612205i | −6.48111e−5 | − | 0.000229112i | ||||
\(715\) | −2.78483 | + | 0.152089i | −0.104147 | + | 0.00568779i | ||||
\(716\) | 10.2846 | + | 1.81346i | 0.384355 | + | 0.0677722i | ||||
\(717\) | −5.16239 | + | 14.8203i | −0.192793 | + | 0.553475i | ||||
\(718\) | −1.05048 | − | 12.0070i | −0.0392036 | − | 0.448099i | ||||
\(719\) | −5.09393 | − | 28.8891i | −0.189972 | − | 1.07738i | −0.919399 | − | 0.393325i | \(-0.871325\pi\) |
0.729428 | − | 0.684058i | \(-0.239786\pi\) | |||||||
\(720\) | −3.32529 | − | 5.82601i | −0.123926 | − | 0.217123i | ||||
\(721\) | 0.145598 | 0.00542233 | ||||||||
\(722\) | 18.9747 | − | 0.979738i | 0.706166 | − | 0.0364621i | ||||
\(723\) | −4.90934 | + | 2.92599i | −0.182580 | + | 0.108819i | ||||
\(724\) | −1.36943 | + | 3.76249i | −0.0508946 | + | 0.139832i | ||||
\(725\) | 8.05522 | − | 32.9239i | 0.299163 | − | 1.22276i | ||||
\(726\) | 9.72334 | + | 13.4842i | 0.360867 | + | 0.500444i | ||||
\(727\) | −3.68977 | + | 42.1742i | −0.136846 | + | 1.56416i | 0.548633 | + | 0.836063i | \(0.315149\pi\) |
−0.685479 | + | 0.728093i | \(0.740407\pi\) | |||||||
\(728\) | −0.105271 | − | 0.150342i | −0.00390159 | − | 0.00557204i | ||||
\(729\) | 11.5085 | − | 24.4245i | 0.426241 | − | 0.904610i | ||||
\(730\) | −4.54481 | − | 13.8835i | −0.168211 | − | 0.513852i | ||||
\(731\) | −0.0630764 | − | 0.173301i | −0.00233296 | − | 0.00640977i | ||||
\(732\) | −5.33630 | − | 4.35294i | −0.197236 | − | 0.160889i | ||||
\(733\) | −5.16599 | + | 19.2797i | −0.190810 | + | 0.712113i | 0.802502 | + | 0.596650i | \(0.203502\pi\) |
−0.993312 | + | 0.115463i | \(0.963165\pi\) | |||||||
\(734\) | −10.4795 | + | 18.1511i | −0.386806 | + | 0.669968i | ||||
\(735\) | 4.18598 | + | 26.6668i | 0.154402 | + | 0.983619i | ||||
\(736\) | −4.10600 | + | 3.44535i | −0.151349 | + | 0.126997i | ||||
\(737\) | 1.65111 | + | 18.8722i | 0.0608192 | + | 0.695167i | ||||
\(738\) | 3.78722 | − | 1.89569i | 0.139410 | − | 0.0697814i | ||||
\(739\) | 0.459799 | − | 1.26329i | 0.0169140 | − | 0.0464708i | −0.930948 | − | 0.365151i | \(-0.881017\pi\) |
0.947862 | + | 0.318680i | \(0.103240\pi\) | |||||||
\(740\) | 6.06796 | − | 3.95958i | 0.223062 | − | 0.145557i | ||||
\(741\) | −7.48403 | + | 2.69043i | −0.274933 | + | 0.0988356i | ||||
\(742\) | 0.0522246 | − | 0.0522246i | 0.00191723 | − | 0.00191723i | ||||
\(743\) | −11.7064 | + | 5.45879i | −0.429467 | + | 0.200264i | −0.625318 | − | 0.780370i | \(-0.715031\pi\) |
0.195851 | + | 0.980634i | \(0.437253\pi\) | |||||||
\(744\) | −9.85517 | − | 0.724562i | −0.361308 | − | 0.0265637i | ||||
\(745\) | −26.7321 | + | 20.9803i | −0.979390 | + | 0.768658i | ||||
\(746\) | −7.34200 | − | 8.74985i | −0.268810 | − | 0.320355i | ||||
\(747\) | −17.8754 | + | 2.06517i | −0.654027 | + | 0.0755606i | ||||
\(748\) | 0.0241125 | − | 0.00646091i | 0.000881639 | − | 0.000236234i | ||||
\(749\) | 1.36717 | + | 2.36800i | 0.0499552 | + | 0.0865249i | ||||
\(750\) | 9.63174 | − | 16.7997i | 0.351701 | − | 0.613438i | ||||
\(751\) | −4.88419 | + | 1.77770i | −0.178227 | + | 0.0648692i | −0.429592 | − | 0.903023i | \(-0.641343\pi\) |
0.251365 | + | 0.967892i | \(0.419120\pi\) | |||||||
\(752\) | 1.06251 | − | 3.96535i | 0.0387458 | − | 0.144601i | ||||
\(753\) | 14.5352 | − | 0.201725i | 0.529692 | − | 0.00735128i | ||||
\(754\) | 7.03246 | + | 1.24001i | 0.256107 | + | 0.0451586i | ||||
\(755\) | 18.3116 | + | 34.2572i | 0.666427 | + | 1.24675i | ||||
\(756\) | 0.897821 | − | 0.116373i | 0.0326534 | − | 0.00423246i | ||||
\(757\) | −23.3325 | − | 16.3376i | −0.848032 | − | 0.593799i | 0.0667390 | − | 0.997770i | \(-0.478741\pi\) |
−0.914771 | + | 0.403972i | \(0.867629\pi\) | |||||||
\(758\) | −16.3607 | + | 7.62910i | −0.594246 | + | 0.277101i | ||||
\(759\) | −10.6564 | − | 2.69745i | −0.386803 | − | 0.0979113i | ||||
\(760\) | −7.14040 | − | 6.63436i | −0.259009 | − | 0.240654i | ||||
\(761\) | − | 2.78671i | − | 0.101018i | −0.998724 | − | 0.0505091i | \(-0.983916\pi\) | ||
0.998724 | − | 0.0505091i | \(-0.0160844\pi\) | |||||||
\(762\) | −29.5436 | + | 5.63314i | −1.07025 | + | 0.204067i | ||||
\(763\) | −0.299046 | + | 0.427081i | −0.0108262 | + | 0.0154614i | ||||
\(764\) | −16.9425 | − | 14.2164i | −0.612957 | − | 0.514332i | ||||
\(765\) | 0.0995077 | + | 0.100498i | 0.00359771 | + | 0.00363352i | ||||
\(766\) | 2.86850 | − | 16.2681i | 0.103643 | − | 0.587789i | ||||
\(767\) | 6.86678 | − | 1.83995i | 0.247945 | − | 0.0664367i | ||||
\(768\) | 1.51187 | + | 0.845126i | 0.0545550 | + | 0.0304959i | ||||
\(769\) | −7.98023 | − | 21.9255i | −0.287775 | − | 0.790654i | −0.996377 | − | 0.0850462i | \(-0.972896\pi\) |
0.708602 | − | 0.705608i | \(-0.249326\pi\) | |||||||
\(770\) | 0.456666 | − | 0.0652047i | 0.0164571 | − | 0.00234981i | ||||
\(771\) | 11.1366 | + | 39.3688i | 0.401076 | + | 1.41783i | ||||
\(772\) | 5.22551 | + | 19.5019i | 0.188070 | + | 0.701887i | ||||
\(773\) | −7.83181 | − | 11.1850i | −0.281691 | − | 0.402296i | 0.653226 | − | 0.757163i | \(-0.273415\pi\) |
−0.934917 | + | 0.354867i | \(0.884526\pi\) | |||||||
\(774\) | 25.7077 | − | 5.27246i | 0.924043 | − | 0.189515i | ||||
\(775\) | −12.6177 | − | 25.5839i | −0.453242 | − | 0.919002i | ||||
\(776\) | −11.6351 | + | 2.05158i | −0.417676 | + | 0.0736475i | ||||
\(777\) | 0.183150 | + | 0.960549i | 0.00657046 | + | 0.0344595i | ||||
\(778\) | −10.2814 | − | 10.2814i | −0.368605 | − | 0.368605i | ||||
\(779\) | 4.42815 | − | 4.27292i | 0.158655 | − | 0.153093i | ||||
\(780\) | 3.66440 | + | 1.79350i | 0.131207 | + | 0.0642175i | ||||
\(781\) | −6.84683 | − | 2.49204i | −0.244999 | − | 0.0891723i | ||||
\(782\) | 0.0648162 | − | 0.0925671i | 0.00231782 | − | 0.00331019i | ||||
\(783\) | −21.4993 | + | 27.9027i | −0.768324 | + | 0.997162i | ||||
\(784\) | −4.48000 | − | 5.33906i | −0.160000 | − | 0.190681i | ||||
\(785\) | 14.2075 | − | 6.06765i | 0.507089 | − | 0.216564i | ||||
\(786\) | −13.1611 | − | 12.8008i | −0.469440 | − | 0.456588i | ||||
\(787\) | −5.16829 | − | 1.38484i | −0.184230 | − | 0.0493642i | 0.165525 | − | 0.986206i | \(-0.447068\pi\) |
−0.349754 | + | 0.936841i | \(0.613735\pi\) | |||||||
\(788\) | −5.95858 | + | 12.7782i | −0.212266 | + | 0.455205i | ||||
\(789\) | 1.72887 | + | 17.0348i | 0.0615494 | + | 0.606456i | ||||
\(790\) | −10.8062 | + | 21.3241i | −0.384467 | + | 0.758679i | ||||
\(791\) | −0.524937 | − | 0.303072i | −0.0186646 | − | 0.0107760i | ||||
\(792\) | 0.407674 | + | 3.52869i | 0.0144861 | + | 0.125386i | ||||
\(793\) | 4.17228 | + | 0.365027i | 0.148162 | + | 0.0129625i | ||||
\(794\) | −30.0983 | − | 25.2555i | −1.06815 | − | 0.896284i | ||||
\(795\) | −0.454703 | + | 1.57754i | −0.0161267 | + | 0.0559495i | ||||
\(796\) | −9.30025 | − | 3.38501i | −0.329639 | − | 0.119979i | ||||
\(797\) | 1.48948 | + | 1.48948i | 0.0527603 | + | 0.0527603i | 0.732995 | − | 0.680234i | \(-0.238122\pi\) |
−0.680234 | + | 0.732995i | \(0.738122\pi\) | |||||||
\(798\) | 1.19437 | − | 0.551192i | 0.0422801 | − | 0.0195120i | ||||
\(799\) | 0.0865495i | 0.00306190i | ||||||||
\(800\) | 0.109249 | + | 4.99881i | 0.00386255 | + | 0.176734i | ||||
\(801\) | −11.2685 | − | 3.75065i | −0.398151 | − | 0.132523i | ||||
\(802\) | −10.8966 | + | 0.953326i | −0.384771 | + | 0.0336631i | ||||
\(803\) | −0.674197 | + | 7.70610i | −0.0237919 | + | 0.271942i | ||||
\(804\) | 11.3620 | − | 25.2757i | 0.400705 | − | 0.891407i | ||||
\(805\) | 1.39388 | − | 1.55492i | 0.0491277 | − | 0.0548037i | ||||
\(806\) | 5.20468 | − | 3.00493i | 0.183327 | − | 0.105844i | ||||
\(807\) | −19.1668 | + | 23.4968i | −0.674704 | + | 0.827125i | ||||
\(808\) | −11.6217 | − | 5.41928i | −0.408849 | − | 0.190650i | ||||
\(809\) | −6.47241 | − | 11.2105i | −0.227558 | − | 0.394142i | 0.729526 | − | 0.683953i | \(-0.239741\pi\) |
−0.957084 | + | 0.289811i | \(0.906407\pi\) | |||||||
\(810\) | −16.2176 | + | 11.9159i | −0.569830 | + | 0.418681i | ||||
\(811\) | 8.20492 | − | 46.5324i | 0.288114 | − | 1.63397i | −0.405833 | − | 0.913947i | \(-0.633018\pi\) |
0.693946 | − | 0.720027i | \(-0.255870\pi\) | |||||||
\(812\) | −1.17662 | − | 0.102941i | −0.0412912 | − | 0.00361252i | ||||
\(813\) | 1.06573 | + | 0.172704i | 0.0373769 | + | 0.00605700i | ||||
\(814\) | −3.77842 | + | 0.666237i | −0.132433 | + | 0.0233516i | ||||
\(815\) | −29.6291 | + | 6.90908i | −1.03786 | + | 0.242015i | ||||
\(816\) | −0.0353998 | − | 0.00896074i | −0.00123924 | − | 0.000313689i | ||||
\(817\) | 33.3563 | − | 18.4728i | 1.16699 | − | 0.646283i | ||||
\(818\) | −4.11382 | + | 4.11382i | −0.143836 | + | 0.143836i | ||||
\(819\) | −0.411800 | + | 0.365488i | −0.0143895 | + | 0.0127712i | ||||
\(820\) | −3.15502 | − | 0.103230i | −0.110178 | − | 0.00360493i | ||||
\(821\) | −8.27166 | + | 9.85778i | −0.288683 | + | 0.344039i | −0.890822 | − | 0.454352i | \(-0.849871\pi\) |
0.602139 | + | 0.798391i | \(0.294315\pi\) | |||||||
\(822\) | 4.77636 | + | 1.66376i | 0.166595 | + | 0.0580303i | ||||
\(823\) | 12.8538 | − | 9.00036i | 0.448057 | − | 0.313733i | −0.327681 | − | 0.944789i | \(-0.606267\pi\) |
0.775737 | + | 0.631056i | \(0.217378\pi\) | |||||||
\(824\) | 0.417829 | − | 0.723700i | 0.0145557 | − | 0.0252113i | ||||
\(825\) | −8.18428 | + | 6.17786i | −0.284940 | + | 0.215086i | ||||
\(826\) | −1.10492 | + | 0.402159i | −0.0384451 | + | 0.0139929i | ||||
\(827\) | 20.5054 | + | 9.56182i | 0.713042 | + | 0.332497i | 0.745067 | − | 0.666990i | \(-0.232418\pi\) |
−0.0320243 | + | 0.999487i | \(0.510195\pi\) | |||||||
\(828\) | 11.6815 | + | 11.0504i | 0.405959 | + | 0.384027i | ||||
\(829\) | −43.4943 | − | 25.1114i | −1.51062 | − | 0.872157i | −0.999923 | − | 0.0123953i | \(-0.996054\pi\) |
−0.510696 | − | 0.859761i | \(-0.670612\pi\) | |||||||
\(830\) | 12.4466 | + | 4.99692i | 0.432026 | + | 0.173446i | ||||
\(831\) | −2.23710 | − | 4.62868i | −0.0776043 | − | 0.160567i | ||||
\(832\) | −1.04938 | + | 0.0918091i | −0.0363808 | + | 0.00318291i | ||||
\(833\) | 0.120365 | + | 0.0842808i | 0.00417042 | + | 0.00292016i | ||||
\(834\) | −13.7038 | + | 20.1608i | −0.474523 | + | 0.698112i | ||||
\(835\) | 34.4186 | − | 22.4595i | 1.19111 | − | 0.777242i | ||||
\(836\) | 2.09741 | + | 4.71577i | 0.0725406 | + | 0.163098i | ||||
\(837\) | 1.23385 | + | 29.6196i | 0.0426482 | + | 1.02380i | ||||
\(838\) | 15.3721 | + | 32.9656i | 0.531021 | + | 1.13878i | ||||
\(839\) | 2.36447 | + | 13.4096i | 0.0816306 | + | 0.462950i | 0.998033 | + | 0.0626917i | \(0.0199685\pi\) |
−0.916402 | + | 0.400258i | \(0.868920\pi\) | |||||||
\(840\) | −0.629641 | − | 0.242692i | −0.0217247 | − | 0.00837366i | ||||
\(841\) | 12.9882 | − | 10.8984i | 0.447870 | − | 0.375807i | ||||
\(842\) | −30.6551 | + | 21.4649i | −1.05644 | + | 0.739729i | ||||
\(843\) | 39.9437 | − | 0.554355i | 1.37573 | − | 0.0190930i | ||||
\(844\) | −7.95457 | + | 4.59258i | −0.273808 | + | 0.158083i | ||||
\(845\) | 26.3207 | − | 3.75818i | 0.905460 | − | 0.129285i | ||||
\(846\) | −12.1833 | − | 1.80119i | −0.418869 | − | 0.0619261i | ||||
\(847\) | 1.61529 | + | 0.432816i | 0.0555021 | + | 0.0148717i | ||||
\(848\) | −0.109714 | − | 0.409457i | −0.00376758 | − | 0.0140608i | ||||
\(849\) | −3.15181 | + | 7.01150i | −0.108170 | + | 0.240634i | ||||
\(850\) | −0.0295013 | − | 0.101201i | −0.00101189 | − | 0.00347118i | ||||
\(851\) | −11.1640 | + | 13.3048i | −0.382698 | + | 0.456081i | ||||
\(852\) | 6.96376 | + | 8.06898i | 0.238574 | + | 0.276439i | ||||
\(853\) | −20.0918 | − | 43.0871i | −0.687931 | − | 1.47527i | −0.870545 | − | 0.492088i | \(-0.836234\pi\) |
0.182614 | − | 0.983185i | \(-0.441544\pi\) | |||||||
\(854\) | −0.692732 | −0.0237048 | ||||||||
\(855\) | −17.3131 | + | 23.5639i | −0.592096 | + | 0.805868i | ||||
\(856\) | 15.6937 | 0.536400 | ||||||||
\(857\) | −15.1463 | − | 32.4814i | −0.517389 | − | 1.10955i | −0.975368 | − | 0.220582i | \(-0.929204\pi\) |
0.457979 | − | 0.888963i | \(-0.348573\pi\) | |||||||
\(858\) | −1.41147 | − | 1.63548i | −0.0481867 | − | 0.0558345i | ||||
\(859\) | −5.78001 | + | 6.88834i | −0.197211 | + | 0.235027i | −0.855583 | − | 0.517666i | \(-0.826801\pi\) |
0.658372 | + | 0.752693i | \(0.271246\pi\) | |||||||
\(860\) | −18.7180 | − | 5.67770i | −0.638280 | − | 0.193608i | ||||
\(861\) | 0.174671 | − | 0.388572i | 0.00595277 | − | 0.0132425i | ||||
\(862\) | 8.79864 | + | 32.8370i | 0.299683 | + | 1.11843i | ||||
\(863\) | −28.5036 | − | 7.63751i | −0.970273 | − | 0.259984i | −0.261330 | − | 0.965250i | \(-0.584161\pi\) |
−0.708943 | + | 0.705266i | \(0.750828\pi\) | |||||||
\(864\) | 1.99808 | − | 4.79663i | 0.0679761 | − | 0.163185i | ||||
\(865\) | −5.83089 | − | 4.37382i | −0.198256 | − | 0.148714i | ||||
\(866\) | −17.6197 | + | 10.1727i | −0.598741 | + | 0.345683i | ||||
\(867\) | −29.4413 | + | 0.408598i | −0.999878 | + | 0.0138767i | ||||
\(868\) | −0.814262 | + | 0.570153i | −0.0276379 | + | 0.0193522i | ||||
\(869\) | 9.69717 | − | 8.13689i | 0.328954 | − | 0.276025i | ||||
\(870\) | 23.9998 | − | 10.6458i | 0.813669 | − | 0.360928i | ||||
\(871\) | 2.92663 | + | 16.5977i | 0.0991651 | + | 0.562393i | ||||
\(872\) | 1.26464 | + | 2.71204i | 0.0428263 | + | 0.0918412i | ||||
\(873\) | 10.1201 | + | 33.9683i | 0.342513 | + | 1.14965i | ||||
\(874\) | 20.9952 | + | 10.2501i | 0.710174 | + | 0.346714i | ||||
\(875\) | −0.317415 | − | 1.92193i | −0.0107306 | − | 0.0649730i | ||||
\(876\) | 6.36115 | − | 9.35843i | 0.214923 | − | 0.316192i | ||||
\(877\) | −27.2977 | − | 19.1141i | −0.921778 | − | 0.645436i | 0.0132869 | − | 0.999912i | \(-0.495771\pi\) |
−0.935065 | + | 0.354476i | \(0.884659\pi\) | |||||||
\(878\) | 10.1436 | − | 0.887451i | 0.342330 | − | 0.0299500i | ||||
\(879\) | 21.9108 | + | 45.3346i | 0.739034 | + | 1.52910i | ||||
\(880\) | 0.986415 | − | 2.45701i | 0.0332521 | − | 0.0828257i | ||||
\(881\) | −26.7707 | − | 15.4561i | −0.901929 | − | 0.520729i | −0.0241032 | − | 0.999709i | \(-0.507673\pi\) |
−0.877825 | + | 0.478981i | \(0.841006\pi\) | |||||||
\(882\) | −14.3689 | + | 15.1895i | −0.483824 | + | 0.511456i | ||||
\(883\) | 31.7539 | + | 14.8071i | 1.06860 | + | 0.498298i | 0.875668 | − | 0.482913i | \(-0.160421\pi\) |
0.192936 | + | 0.981211i | \(0.438199\pi\) | |||||||
\(884\) | 0.0208690 | − | 0.00759571i | 0.000701902 | − | 0.000255471i | ||||
\(885\) | 17.1749 | − | 19.7027i | 0.577329 | − | 0.662298i | ||||
\(886\) | 2.68283 | − | 4.64680i | 0.0901316 | − | 0.156112i | ||||
\(887\) | 22.3311 | − | 15.6364i | 0.749805 | − | 0.525019i | −0.135076 | − | 0.990835i | \(-0.543128\pi\) |
0.884882 | + | 0.465816i | \(0.154239\pi\) | |||||||
\(888\) | 5.30006 | + | 1.84618i | 0.177858 | + | 0.0619538i | ||||
\(889\) | −1.94469 | + | 2.31759i | −0.0652229 | + | 0.0777296i | ||||
\(890\) | 6.05130 | + | 6.46068i | 0.202840 | + | 0.216562i | ||||
\(891\) | 10.3757 | − | 2.42988i | 0.347600 | − | 0.0814041i | ||||
\(892\) | 14.6535 | − | 14.6535i | 0.490635 | − | 0.490635i | ||||
\(893\) | −17.6751 | + | 2.79246i | −0.591473 | + | 0.0934462i | ||||
\(894\) | −25.5176 | − | 6.45925i | −0.853435 | − | 0.216029i | ||||
\(895\) | −12.3311 | + | 19.8307i | −0.412182 | + | 0.662868i | ||||
\(896\) | 0.171584 | − | 0.0302549i | 0.00573223 | − | 0.00101075i | ||||
\(897\) | −9.65355 | − | 1.56438i | −0.322323 | − | 0.0522330i | ||||
\(898\) | −13.3032 | − | 1.16388i | −0.443932 | − | 0.0388390i | ||||
\(899\) | 6.71599 | − | 38.0883i | 0.223991 | − | 1.27032i | ||||
\(900\) | 14.8597 | − | 2.04669i | 0.495324 | − | 0.0682231i | ||||
\(901\) | 0.00446850 | + | 0.00773966i | 0.000148867 | + | 0.000257845i | ||||
\(902\) | 1.51494 | + | 0.706430i | 0.0504421 | + | 0.0235215i | ||||
\(903\) | 1.66862 | − | 2.04557i | 0.0555282 | − | 0.0680724i | ||||
\(904\) | −3.01288 | + | 1.73948i | −0.100207 | + | 0.0578544i | ||||
\(905\) | −6.66662 | − | 5.97616i | −0.221606 | − | 0.198654i | ||||
\(906\) | −12.3363 | + | 27.4433i | −0.409847 | + | 0.911743i | ||||
\(907\) | −0.141257 | + | 1.61458i | −0.00469038 | + | 0.0536113i | −0.998179 | − | 0.0603186i | \(-0.980788\pi\) |
0.993489 | + | 0.113930i | \(0.0363439\pi\) | |||||||
\(908\) | 0.630539 | − | 0.0551650i | 0.0209252 | − | 0.00183071i | ||||
\(909\) | −12.1490 | + | 36.5006i | −0.402958 | + | 1.21065i | ||||
\(910\) | 0.399671 | − | 0.0931976i | 0.0132490 | − | 0.00308947i | ||||
\(911\) | − | 13.1393i | − | 0.435325i | −0.976024 | − | 0.217662i | \(-0.930157\pi\) | ||
0.976024 | − | 0.217662i | \(-0.0698432\pi\) | |||||||
\(912\) | 0.687803 | − | 7.51844i | 0.0227754 | − | 0.248960i | ||||
\(913\) | −5.02192 | − | 5.02192i | −0.166201 | − | 0.166201i | ||||
\(914\) | −17.2664 | − | 6.28445i | −0.571121 | − | 0.207871i | ||||
\(915\) | 13.4783 | − | 7.44691i | 0.445579 | − | 0.246187i | ||||
\(916\) | −7.42232 | − | 6.22807i | −0.245240 | − | 0.205781i | ||||
\(917\) | −1.83981 | − | 0.160962i | −0.0607557 | − | 0.00531544i | ||||
\(918\) | −0.0145163 | + | 0.108583i | −0.000479109 | + | 0.00358377i | ||||
\(919\) | 4.59694 | + | 2.65404i | 0.151639 | + | 0.0875488i | 0.573900 | − | 0.818926i | \(-0.305430\pi\) |
−0.422261 | + | 0.906474i | \(0.638763\pi\) | |||||||
\(920\) | −3.72873 | − | 11.3906i | −0.122933 | − | 0.375536i | ||||
\(921\) | 1.40538 | + | 13.8474i | 0.0463088 | + | 0.456288i | ||||
\(922\) | 12.9609 | − | 27.7948i | 0.426846 | − | 0.915374i | ||||
\(923\) | −6.26133 | − | 1.67772i | −0.206094 | − | 0.0552228i | ||||
\(924\) | 0.256145 | + | 0.249133i | 0.00842656 | + | 0.00819587i | ||||
\(925\) | 3.16133 | + | 15.8902i | 0.103944 | + | 0.522466i | ||||
\(926\) | −25.1276 | − | 29.9459i | −0.825744 | − | 0.984083i | ||||
\(927\) | −2.30062 | − | 0.996030i | −0.0755621 | − | 0.0327139i | ||||
\(928\) | −3.88828 | + | 5.55304i | −0.127639 | + | 0.182287i | ||||
\(929\) | 25.7304 | + | 9.36509i | 0.844186 | + | 0.307259i | 0.727668 | − | 0.685930i | \(-0.240604\pi\) |
0.116519 | + | 0.993189i | \(0.462827\pi\) | |||||||
\(930\) | 9.71371 | − | 19.8467i | 0.318525 | − | 0.650798i | ||||
\(931\) | −13.3282 | + | 27.3002i | −0.436815 | + | 0.894728i | ||||
\(932\) | −0.409058 | − | 0.409058i | −0.0133991 | − | 0.0133991i | ||||
\(933\) | −6.92246 | − | 36.3056i | −0.226631 | − | 1.18859i | ||||
\(934\) | −40.1927 | + | 7.08706i | −1.31515 | + | 0.231896i | ||||
\(935\) | −0.00668078 | + | 0.0554178i | −0.000218485 | + | 0.00181236i | ||||
\(936\) | 0.634914 | + | 3.09574i | 0.0207528 | + | 0.101187i | ||||
\(937\) | −22.1246 | − | 31.5973i | −0.722780 | − | 1.03224i | −0.997497 | − | 0.0707120i | \(-0.977473\pi\) |
0.274716 | − | 0.961525i | \(-0.411416\pi\) | |||||||
\(938\) | −0.721489 | − | 2.69263i | −0.0235575 | − | 0.0879176i | ||||
\(939\) | −8.66821 | − | 30.6428i | −0.282876 | − | 0.999988i | ||||
\(940\) | 7.34327 | + | 5.50827i | 0.239511 | + | 0.179660i | ||||
\(941\) | −0.833897 | − | 2.29111i | −0.0271843 | − | 0.0746881i | 0.925358 | − | 0.379094i | \(-0.123764\pi\) |
−0.952542 | + | 0.304406i | \(0.901542\pi\) | |||||||
\(942\) | 10.4455 | + | 5.83896i | 0.340333 | + | 0.190244i | ||||
\(943\) | 7.30902 | − | 1.95845i | 0.238014 | − | 0.0637758i | ||||
\(944\) | −1.17190 | + | 6.64617i | −0.0381420 | + | 0.216314i | ||||
\(945\) | −0.506476 | + | 1.96000i | −0.0164757 | + | 0.0637589i | ||||
\(946\) | 7.93438 | + | 6.65774i | 0.257969 | + | 0.216462i | ||||
\(947\) | −32.7235 | + | 46.7340i | −1.06337 | + | 1.51865i | −0.224381 | + | 0.974502i | \(0.572036\pi\) |
−0.838989 | + | 0.544148i | \(0.816853\pi\) | |||||||
\(948\) | −18.1897 | + | 3.46827i | −0.590775 | + | 0.112644i | ||||
\(949\) | 6.88192i | 0.223397i | ||||||||
\(950\) | 19.7154 | − | 9.28993i | 0.639652 | − | 0.301405i | ||||
\(951\) | 31.2450 | + | 7.90904i | 1.01319 | + | 0.256468i | ||||
\(952\) | −0.00332911 | + | 0.00155239i | −0.000107897 | + | 5.03133e-5i | ||||
\(953\) | 22.0061 | + | 15.4089i | 0.712849 | + | 0.499142i | 0.872859 | − | 0.487973i | \(-0.162264\pi\) |
−0.160010 | + | 0.987115i | \(0.551153\pi\) | |||||||
\(954\) | −1.18248 | + | 0.467944i | −0.0382842 | + | 0.0151502i | ||||
\(955\) | 43.6148 | − | 23.3136i | 1.41134 | − | 0.754409i | ||||
\(956\) | 8.92310 | + | 1.57338i | 0.288594 | + | 0.0508869i | ||||
\(957\) | −13.9013 | + | 0.192928i | −0.449365 | + | 0.00623648i | ||||
\(958\) | −7.11890 | + | 26.5681i | −0.230001 | + | 0.858376i | ||||
\(959\) | 0.478097 | − | 0.174013i | 0.0154385 | − | 0.00561917i | ||||
\(960\) | −3.01323 | + | 2.43320i | −0.0972514 | + | 0.0785312i | ||||
\(961\) | −0.774893 | − | 1.34215i | −0.0249965 | − | 0.0432953i | ||||
\(962\) | −3.29702 | + | 0.883433i | −0.106300 | + | 0.0284830i | ||||
\(963\) | −5.40341 | − | 46.7700i | −0.174122 | − | 1.50714i | ||||
\(964\) | 2.12097 | + | 2.52768i | 0.0683120 | + | 0.0814110i | ||||
\(965\) | −44.8213 | − | 5.40333i | −1.44285 | − | 0.173939i | ||||
\(966\) | 1.61317 | + | 0.118602i | 0.0519030 | + | 0.00381596i | ||||
\(967\) | −52.6123 | + | 24.5335i | −1.69190 | + | 0.788945i | −0.694300 | + | 0.719686i | \(0.744286\pi\) |
−0.997599 | + | 0.0692593i | \(0.977936\pi\) | |||||||
\(968\) | 6.78683 | − | 6.78683i | 0.218137 | − | 0.218137i | ||||
\(969\) | 0.0270186 | + | 0.156861i | 0.000867961 | + | 0.00503911i | ||||
\(970\) | 5.43582 | − | 25.8530i | 0.174534 | − | 0.830088i | ||||
\(971\) | 5.37226 | − | 14.7602i | 0.172404 | − | 0.473676i | −0.823155 | − | 0.567817i | \(-0.807788\pi\) |
0.995559 | + | 0.0941410i | \(0.0300104\pi\) | |||||||
\(972\) | −14.9828 | − | 4.30314i | −0.480572 | − | 0.138023i | ||||
\(973\) | 0.213721 | + | 2.44284i | 0.00685157 | + | 0.0783138i | ||||
\(974\) | 15.5196 | − | 13.0225i | 0.497280 | − | 0.417267i | ||||
\(975\) | −6.77442 | + | 6.10981i | −0.216955 | + | 0.195671i | ||||
\(976\) | −1.98797 | + | 3.44326i | −0.0636333 | + | 0.110216i | ||||
\(977\) | 13.9051 | − | 51.8947i | 0.444865 | − | 1.66026i | −0.271429 | − | 0.962458i | \(-0.587496\pi\) |
0.716294 | − | 0.697799i | \(-0.245837\pi\) | |||||||
\(978\) | −18.2613 | − | 14.8962i | −0.583933 | − | 0.476327i | ||||
\(979\) | −1.60317 | − | 4.40469i | −0.0512377 | − | 0.140774i | ||||
\(980\) | 14.8112 | − | 4.84849i | 0.473127 | − | 0.154879i | ||||
\(981\) | 7.64694 | − | 4.70263i | 0.244148 | − | 0.150143i | ||||
\(982\) | 12.9854 | + | 18.5450i | 0.414380 | + | 0.591796i | ||||
\(983\) | 1.82653 | − | 20.8773i | 0.0582571 | − | 0.665882i | −0.909783 | − | 0.415085i | \(-0.863752\pi\) |
0.968040 | − | 0.250797i | \(-0.0806926\pi\) | |||||||
\(984\) | −1.43016 | − | 1.98332i | −0.0455917 | − | 0.0632258i | ||||
\(985\) | −21.5519 | − | 23.0099i | −0.686699 | − | 0.733155i | ||||
\(986\) | 0.0488815 | − | 0.134301i | 0.00155670 | − | 0.00427701i | ||||
\(987\) | −1.06419 | + | 0.634261i | −0.0338735 | + | 0.0201888i | ||||
\(988\) | 2.22451 | + | 4.01679i | 0.0707712 | + | 0.127791i | ||||
\(989\) | 46.8871 | 1.49092 | ||||||||
\(990\) | −7.66194 | − | 2.09373i | −0.243513 | − | 0.0665433i | ||||
\(991\) | 4.60305 | + | 26.1052i | 0.146221 | + | 0.829259i | 0.966379 | + | 0.257122i | \(0.0827743\pi\) |
−0.820158 | + | 0.572137i | \(0.806115\pi\) | |||||||
\(992\) | 0.497245 | + | 5.68353i | 0.0157875 | + | 0.180452i | ||||
\(993\) | −3.48811 | + | 10.0137i | −0.110692 | + | 0.317776i | ||||
\(994\) | 1.05587 | + | 0.186178i | 0.0334901 | + | 0.00590522i | ||||
\(995\) | 14.7721 | − | 16.4788i | 0.468306 | − | 0.522413i | ||||
\(996\) | 2.82787 | + | 9.99673i | 0.0896045 | + | 0.316759i | ||||
\(997\) | 23.9460 | − | 51.3523i | 0.758377 | − | 1.62634i | −0.0209924 | − | 0.999780i | \(-0.506683\pi\) |
0.779369 | − | 0.626565i | \(-0.215540\pi\) | |||||||
\(998\) | −15.6795 | + | 33.6248i | −0.496326 | + | 1.06438i | ||||
\(999\) | 3.67711 | − | 16.4308i | 0.116339 | − | 0.519846i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 570.2.bi.a.23.25 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.23.18 | ✓ | 480 | |
5.2 | odd | 4 | inner | 570.2.bi.a.137.6 | yes | 480 | |
15.2 | even | 4 | inner | 570.2.bi.a.137.32 | yes | 480 | |
19.5 | even | 9 | inner | 570.2.bi.a.233.32 | yes | 480 | |
57.5 | odd | 18 | inner | 570.2.bi.a.233.6 | yes | 480 | |
95.62 | odd | 36 | inner | 570.2.bi.a.347.18 | yes | 480 | |
285.62 | even | 36 | inner | 570.2.bi.a.347.25 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.23.18 | ✓ | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.23.25 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.137.6 | yes | 480 | 5.2 | odd | 4 | inner | |
570.2.bi.a.137.32 | yes | 480 | 15.2 | even | 4 | inner | |
570.2.bi.a.233.6 | yes | 480 | 57.5 | odd | 18 | inner | |
570.2.bi.a.233.32 | yes | 480 | 19.5 | even | 9 | inner | |
570.2.bi.a.347.18 | yes | 480 | 95.62 | odd | 36 | inner | |
570.2.bi.a.347.25 | yes | 480 | 285.62 | even | 36 | inner |