Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(16,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.s (of order \(55\), degree \(40\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(880\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 16.5 | ||
Character | \(\chi\) | \(=\) | 605.16 |
Dual form | 605.2.s.a.416.5 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.96587 | − | 0.225563i | −1.39008 | − | 0.159497i | −0.613590 | − | 0.789625i | \(-0.710275\pi\) |
−0.776492 | + | 0.630128i | \(0.783003\pi\) | |||||||
\(3\) | −1.14488 | − | 0.831801i | −0.660994 | − | 0.480241i | 0.206004 | − | 0.978551i | \(-0.433954\pi\) |
−0.866999 | + | 0.498311i | \(0.833954\pi\) | |||||||
\(4\) | 1.86575 | + | 0.433862i | 0.932876 | + | 0.216931i | ||||
\(5\) | 0.564443 | − | 0.825472i | 0.252427 | − | 0.369162i | ||||
\(6\) | 2.06306 | + | 1.89346i | 0.842239 | + | 0.773000i | ||||
\(7\) | 2.64315 | + | 2.71973i | 0.999016 | + | 1.02796i | 0.999609 | + | 0.0279630i | \(0.00890206\pi\) |
−0.000593295 | 1.00000i | \(0.500189\pi\) | ||||||||
\(8\) | 0.157420 | + | 0.0561672i | 0.0556562 | + | 0.0198581i | ||||
\(9\) | −0.308203 | − | 0.948551i | −0.102734 | − | 0.316184i | ||||
\(10\) | −1.29582 | + | 1.49546i | −0.409774 | + | 0.472904i | ||||
\(11\) | −2.27014 | + | 2.41794i | −0.684473 | + | 0.729038i | ||||
\(12\) | −1.77517 | − | 2.04865i | −0.512447 | − | 0.591395i | ||||
\(13\) | −2.88217 | + | 4.77954i | −0.799370 | + | 1.32561i | 0.142557 | + | 0.989787i | \(0.454468\pi\) |
−0.941926 | + | 0.335819i | \(0.890987\pi\) | |||||||
\(14\) | −4.58262 | − | 5.94285i | −1.22476 | − | 1.58829i | ||||
\(15\) | −1.33285 | + | 0.475558i | −0.344139 | + | 0.122789i | ||||
\(16\) | −3.73479 | − | 1.83627i | −0.933698 | − | 0.459068i | ||||
\(17\) | 5.17233 | − | 4.22939i | 1.25447 | − | 1.02578i | 0.256226 | − | 0.966617i | \(-0.417521\pi\) |
0.998248 | − | 0.0591619i | \(-0.0188428\pi\) | |||||||
\(18\) | 0.391930 | + | 1.93425i | 0.0923788 | + | 0.455907i | ||||
\(19\) | −4.44602 | − | 0.254233i | −1.01999 | − | 0.0583250i | −0.460915 | − | 0.887444i | \(-0.652479\pi\) |
−0.559072 | + | 0.829119i | \(0.688842\pi\) | |||||||
\(20\) | 1.41125 | − | 1.29524i | 0.315566 | − | 0.289624i | ||||
\(21\) | −0.763798 | − | 5.31233i | −0.166674 | − | 1.15925i | ||||
\(22\) | 5.00821 | − | 4.24131i | 1.06775 | − | 0.904251i | ||||
\(23\) | 0.675653 | − | 4.69927i | 0.140883 | − | 0.979865i | −0.789624 | − | 0.613591i | \(-0.789724\pi\) |
0.930507 | − | 0.366274i | \(-0.119367\pi\) | |||||||
\(24\) | −0.133506 | − | 0.195246i | −0.0272518 | − | 0.0398545i | ||||
\(25\) | −0.362808 | − | 0.931864i | −0.0725615 | − | 0.186373i | ||||
\(26\) | 6.74406 | − | 8.74586i | 1.32262 | − | 1.71520i | ||||
\(27\) | −1.74806 | + | 5.37998i | −0.336415 | + | 1.03538i | ||||
\(28\) | 3.75147 | + | 6.22111i | 0.708961 | + | 1.17568i | ||||
\(29\) | −2.83718 | + | 7.28725i | −0.526852 | + | 1.35321i | 0.377337 | + | 0.926076i | \(0.376840\pi\) |
−0.904189 | + | 0.427132i | \(0.859524\pi\) | |||||||
\(30\) | 2.72747 | − | 0.634247i | 0.497966 | − | 0.115797i | ||||
\(31\) | −8.20214 | − | 3.46625i | −1.47315 | − | 0.622558i | −0.502829 | − | 0.864386i | \(-0.667707\pi\) |
−0.970319 | + | 0.241828i | \(0.922253\pi\) | |||||||
\(32\) | 6.64671 | + | 4.27158i | 1.17498 | + | 0.755117i | ||||
\(33\) | 4.61028 | − | 0.879941i | 0.802547 | − | 0.153178i | ||||
\(34\) | −11.1221 | + | 7.14776i | −1.90743 | + | 1.22583i | ||||
\(35\) | 3.73697 | − | 0.646708i | 0.631663 | − | 0.109314i | ||||
\(36\) | −0.163490 | − | 1.90348i | −0.0272483 | − | 0.317247i | ||||
\(37\) | −0.264622 | + | 3.08093i | −0.0435035 | + | 0.506502i | 0.941856 | + | 0.336016i | \(0.109079\pi\) |
−0.985360 | + | 0.170487i | \(0.945466\pi\) | |||||||
\(38\) | 8.68297 | + | 1.50265i | 1.40856 | + | 0.243761i | ||||
\(39\) | 7.27535 | − | 3.07459i | 1.16499 | − | 0.492328i | ||||
\(40\) | 0.135219 | − | 0.0982422i | 0.0213800 | − | 0.0155335i | ||||
\(41\) | −1.38469 | + | 0.781972i | −0.216253 | + | 0.122123i | −0.596053 | − | 0.802945i | \(-0.703265\pi\) |
0.379801 | + | 0.925068i | \(0.375993\pi\) | |||||||
\(42\) | 0.303265 | + | 10.6156i | 0.0467948 | + | 1.63803i | ||||
\(43\) | −7.43447 | + | 2.18296i | −1.13375 | + | 0.332898i | −0.794179 | − | 0.607684i | \(-0.792099\pi\) |
−0.339568 | + | 0.940582i | \(0.610281\pi\) | |||||||
\(44\) | −5.28458 | + | 3.52636i | −0.796680 | + | 0.531618i | ||||
\(45\) | −0.956966 | − | 0.280990i | −0.142656 | − | 0.0418876i | ||||
\(46\) | −2.38823 | + | 9.08576i | −0.352125 | + | 1.33962i | ||||
\(47\) | −1.93407 | + | 9.54504i | −0.282114 | + | 1.39229i | 0.548832 | + | 0.835933i | \(0.315073\pi\) |
−0.830946 | + | 0.556354i | \(0.812200\pi\) | |||||||
\(48\) | 2.74846 | + | 5.20891i | 0.396706 | + | 0.751841i | ||||
\(49\) | −0.210834 | + | 7.38017i | −0.0301192 | + | 1.05431i | ||||
\(50\) | 0.503040 | + | 1.91376i | 0.0711406 | + | 0.270647i | ||||
\(51\) | −9.43969 | + | 0.539781i | −1.32182 | + | 0.0755845i | ||||
\(52\) | −7.45107 | + | 7.66697i | −1.03328 | + | 1.06322i | ||||
\(53\) | −0.0898247 | + | 0.0441638i | −0.0123384 | + | 0.00606637i | −0.447380 | − | 0.894344i | \(-0.647643\pi\) |
0.435041 | + | 0.900410i | \(0.356734\pi\) | |||||||
\(54\) | 4.64999 | − | 10.1821i | 0.632784 | − | 1.38560i | ||||
\(55\) | 0.714580 | + | 3.23873i | 0.0963539 | + | 0.436710i | ||||
\(56\) | 0.263323 | + | 0.576598i | 0.0351881 | + | 0.0770511i | ||||
\(57\) | 4.87867 | + | 3.98927i | 0.646196 | + | 0.528392i | ||||
\(58\) | 7.22128 | − | 13.6858i | 0.948200 | − | 1.79704i | ||||
\(59\) | 4.25687 | + | 2.40397i | 0.554197 | + | 0.312970i | 0.743268 | − | 0.668994i | \(-0.233275\pi\) |
−0.189070 | + | 0.981964i | \(0.560547\pi\) | |||||||
\(60\) | −2.69309 | + | 0.309003i | −0.347676 | + | 0.0398921i | ||||
\(61\) | 3.54512 | − | 0.406765i | 0.453907 | − | 0.0520809i | 0.115976 | − | 0.993252i | \(-0.463000\pi\) |
0.337930 | + | 0.941171i | \(0.390273\pi\) | |||||||
\(62\) | 15.3425 | + | 8.66431i | 1.94850 | + | 1.10037i | ||||
\(63\) | 1.76518 | − | 3.34539i | 0.222392 | − | 0.421480i | ||||
\(64\) | −5.65944 | − | 4.62770i | −0.707430 | − | 0.578463i | ||||
\(65\) | 2.31856 | + | 5.07693i | 0.287581 | + | 0.629715i | ||||
\(66\) | −9.26170 | + | 0.689944i | −1.14004 | + | 0.0849262i | ||||
\(67\) | 0.122269 | − | 0.267732i | 0.0149376 | − | 0.0327087i | −0.902016 | − | 0.431702i | \(-0.857913\pi\) |
0.916954 | + | 0.398994i | \(0.130640\pi\) | |||||||
\(68\) | 11.4853 | − | 5.64692i | 1.39279 | − | 0.684790i | ||||
\(69\) | −4.68240 | + | 4.81807i | −0.563694 | + | 0.580028i | ||||
\(70\) | −7.49228 | + | 0.428424i | −0.895499 | + | 0.0512065i | ||||
\(71\) | 0.563553 | + | 2.14398i | 0.0668815 | + | 0.254444i | 0.992183 | − | 0.124788i | \(-0.0398249\pi\) |
−0.925302 | + | 0.379231i | \(0.876189\pi\) | |||||||
\(72\) | 0.00476028 | − | 0.166631i | 0.000561004 | − | 0.0196377i | ||||
\(73\) | 1.61874 | + | 3.06785i | 0.189459 | + | 0.359065i | 0.960749 | − | 0.277419i | \(-0.0894790\pi\) |
−0.771290 | + | 0.636484i | \(0.780388\pi\) | |||||||
\(74\) | 1.21516 | − | 5.99703i | 0.141259 | − | 0.697141i | ||||
\(75\) | −0.359756 | + | 1.36865i | −0.0415410 | + | 0.158038i | ||||
\(76\) | −8.18487 | − | 2.40330i | −0.938869 | − | 0.275677i | ||||
\(77\) | −12.5765 | + | 0.216803i | −1.43322 | + | 0.0247069i | ||||
\(78\) | −14.9959 | + | 4.40320i | −1.69795 | + | 0.498564i | ||||
\(79\) | 0.239960 | + | 8.39969i | 0.0269976 | + | 0.945039i | 0.894356 | + | 0.447355i | \(0.147634\pi\) |
−0.867359 | + | 0.497683i | \(0.834184\pi\) | |||||||
\(80\) | −3.62387 | + | 2.04649i | −0.405161 | + | 0.228805i | ||||
\(81\) | 4.05573 | − | 2.94666i | 0.450637 | − | 0.327407i | ||||
\(82\) | 2.89851 | − | 1.22492i | 0.320087 | − | 0.135270i | ||||
\(83\) | −8.28762 | − | 1.43423i | −0.909685 | − | 0.157427i | −0.303574 | − | 0.952808i | \(-0.598180\pi\) |
−0.606110 | + | 0.795381i | \(0.707271\pi\) | |||||||
\(84\) | 0.879762 | − | 10.2429i | 0.0959899 | − | 1.11759i | ||||
\(85\) | −0.571759 | − | 6.65687i | −0.0620159 | − | 0.722039i | ||||
\(86\) | 15.1076 | − | 2.61448i | 1.62910 | − | 0.281926i | ||||
\(87\) | 9.30977 | − | 5.98302i | 0.998112 | − | 0.641447i | ||||
\(88\) | −0.493174 | + | 0.253124i | −0.0525725 | + | 0.0269831i | ||||
\(89\) | −0.716893 | − | 0.460719i | −0.0759905 | − | 0.0488361i | 0.502094 | − | 0.864813i | \(-0.332563\pi\) |
−0.578084 | + | 0.815977i | \(0.696200\pi\) | |||||||
\(90\) | 1.81789 | + | 0.768247i | 0.191623 | + | 0.0809804i | ||||
\(91\) | −20.6171 | + | 4.79429i | −2.16126 | + | 0.502579i | ||||
\(92\) | 3.29944 | − | 8.47453i | 0.343990 | − | 0.883531i | ||||
\(93\) | 6.50720 | + | 10.7910i | 0.674765 | + | 1.11897i | ||||
\(94\) | 5.95515 | − | 18.3281i | 0.614227 | − | 1.89040i | ||||
\(95\) | −2.71939 | + | 3.52657i | −0.279003 | + | 0.361818i | ||||
\(96\) | −4.05656 | − | 10.4192i | −0.414020 | − | 1.06340i | ||||
\(97\) | 4.78752 | + | 7.00152i | 0.486099 | + | 0.710896i | 0.988073 | − | 0.153986i | \(-0.0492110\pi\) |
−0.501974 | + | 0.864882i | \(0.667393\pi\) | |||||||
\(98\) | 2.07917 | − | 14.4609i | 0.210027 | − | 1.46077i | ||||
\(99\) | 2.99321 | + | 1.40813i | 0.300829 | + | 0.141522i | ||||
\(100\) | −0.272609 | − | 1.89604i | −0.0272609 | − | 0.189604i | ||||
\(101\) | 2.92615 | − | 2.68560i | 0.291163 | − | 0.267227i | −0.517261 | − | 0.855828i | \(-0.673048\pi\) |
0.808424 | + | 0.588601i | \(0.200321\pi\) | |||||||
\(102\) | 18.6790 | + | 1.06810i | 1.84950 | + | 0.105758i | ||||
\(103\) | 2.64460 | + | 13.0516i | 0.260580 | + | 1.28601i | 0.869955 | + | 0.493131i | \(0.164148\pi\) |
−0.609375 | + | 0.792882i | \(0.708580\pi\) | |||||||
\(104\) | −0.722163 | + | 0.590510i | −0.0708139 | + | 0.0579043i | ||||
\(105\) | −4.81630 | − | 2.36802i | −0.470023 | − | 0.231095i | ||||
\(106\) | 0.186546 | − | 0.0665593i | 0.0181189 | − | 0.00646481i | ||||
\(107\) | 1.63883 | + | 2.12527i | 0.158432 | + | 0.205458i | 0.864427 | − | 0.502759i | \(-0.167682\pi\) |
−0.705995 | + | 0.708217i | \(0.749500\pi\) | |||||||
\(108\) | −5.59562 | + | 9.27930i | −0.538439 | + | 0.892901i | ||||
\(109\) | 1.79431 | + | 2.07074i | 0.171863 | + | 0.198341i | 0.835146 | − | 0.550028i | \(-0.185383\pi\) |
−0.663283 | + | 0.748369i | \(0.730837\pi\) | |||||||
\(110\) | −0.674235 | − | 6.52811i | −0.0642858 | − | 0.622431i | ||||
\(111\) | 2.86568 | − | 3.30717i | 0.271999 | − | 0.313903i | ||||
\(112\) | −4.87743 | − | 15.0112i | −0.460874 | − | 1.41842i | ||||
\(113\) | −14.9374 | − | 5.32967i | −1.40520 | − | 0.501373i | −0.478801 | − | 0.877924i | \(-0.658928\pi\) |
−0.926396 | + | 0.376550i | \(0.877110\pi\) | |||||||
\(114\) | −8.69102 | − | 8.94284i | −0.813988 | − | 0.837574i | ||||
\(115\) | −3.49775 | − | 3.21020i | −0.326167 | − | 0.299353i | ||||
\(116\) | −8.45515 | + | 12.3653i | −0.785041 | + | 1.14809i | ||||
\(117\) | 5.42193 | + | 1.26082i | 0.501258 | + | 0.116562i | ||||
\(118\) | −7.82622 | − | 5.68608i | −0.720462 | − | 0.523446i | ||||
\(119\) | 25.1741 | + | 2.88845i | 2.30770 | + | 0.264784i | ||||
\(120\) | −0.236527 | −0.0215918 | ||||||||
\(121\) | −0.692915 | − | 10.9782i | −0.0629922 | − | 0.998014i | ||||
\(122\) | −7.06101 | −0.639274 | ||||||||
\(123\) | 2.23575 | + | 0.256528i | 0.201590 | + | 0.0231303i | ||||
\(124\) | −13.7993 | − | 10.0258i | −1.23921 | − | 0.900341i | ||||
\(125\) | −0.974012 | − | 0.226497i | −0.0871183 | − | 0.0202585i | ||||
\(126\) | −4.22472 | + | 6.17845i | −0.376368 | + | 0.550420i | ||||
\(127\) | 2.65087 | + | 2.43295i | 0.235227 | + | 0.215889i | 0.785117 | − | 0.619348i | \(-0.212603\pi\) |
−0.549890 | + | 0.835237i | \(0.685330\pi\) | |||||||
\(128\) | −0.931056 | − | 0.958034i | −0.0822945 | − | 0.0846791i | ||||
\(129\) | 10.3273 | + | 3.68479i | 0.909271 | + | 0.324427i | ||||
\(130\) | −3.41282 | − | 10.5036i | −0.299324 | − | 0.921224i | ||||
\(131\) | 6.83160 | − | 7.88409i | 0.596880 | − | 0.688836i | −0.374266 | − | 0.927321i | \(-0.622105\pi\) |
0.971146 | + | 0.238485i | \(0.0766508\pi\) | |||||||
\(132\) | 8.98341 | + | 0.358474i | 0.781906 | + | 0.0312012i | ||||
\(133\) | −11.0600 | − | 12.7640i | −0.959027 | − | 1.10678i | ||||
\(134\) | −0.300756 | + | 0.498748i | −0.0259814 | + | 0.0430852i | ||||
\(135\) | 3.45434 | + | 4.47967i | 0.297303 | + | 0.385549i | ||||
\(136\) | 1.05178 | − | 0.375274i | 0.0901893 | − | 0.0321795i | ||||
\(137\) | 4.58921 | + | 2.25636i | 0.392082 | + | 0.192774i | 0.626605 | − | 0.779337i | \(-0.284444\pi\) |
−0.234523 | + | 0.972111i | \(0.575353\pi\) | |||||||
\(138\) | 10.2918 | − | 8.41554i | 0.876094 | − | 0.716378i | ||||
\(139\) | −2.32246 | − | 11.4618i | −0.196988 | − | 0.972176i | −0.949541 | − | 0.313644i | \(-0.898450\pi\) |
0.752552 | − | 0.658533i | \(-0.228823\pi\) | |||||||
\(140\) | 7.25284 | + | 0.414733i | 0.612977 | + | 0.0350513i | ||||
\(141\) | 10.1538 | − | 9.31912i | 0.855108 | − | 0.784811i | ||||
\(142\) | −0.624272 | − | 4.34191i | −0.0523877 | − | 0.364365i | ||||
\(143\) | −5.01373 | − | 17.8192i | −0.419269 | − | 1.49011i | ||||
\(144\) | −0.590725 | + | 4.10859i | −0.0492271 | + | 0.342382i | ||||
\(145\) | 4.41399 | + | 6.45525i | 0.366562 | + | 0.536080i | ||||
\(146\) | −2.49024 | − | 6.39614i | −0.206094 | − | 0.529348i | ||||
\(147\) | 6.38021 | − | 8.27401i | 0.526231 | − | 0.682428i | ||||
\(148\) | −1.83042 | + | 5.63345i | −0.150459 | + | 0.463067i | ||||
\(149\) | 2.59354 | + | 4.30090i | 0.212471 | + | 0.352344i | 0.944267 | − | 0.329180i | \(-0.106772\pi\) |
−0.731796 | + | 0.681524i | \(0.761318\pi\) | |||||||
\(150\) | 1.01595 | − | 2.60945i | 0.0829521 | − | 0.213061i | ||||
\(151\) | −18.9076 | + | 4.39677i | −1.53868 | + | 0.357804i | −0.908244 | − | 0.418441i | \(-0.862577\pi\) |
−0.630432 | + | 0.776245i | \(0.717122\pi\) | |||||||
\(152\) | −0.685611 | − | 0.289742i | −0.0556104 | − | 0.0235012i | ||||
\(153\) | −5.60593 | − | 3.60271i | −0.453212 | − | 0.291262i | ||||
\(154\) | 24.7727 | + | 2.41058i | 1.99624 | + | 0.194250i | ||||
\(155\) | −7.49094 | + | 4.81413i | −0.601687 | + | 0.386681i | ||||
\(156\) | 14.9080 | − | 2.57992i | 1.19359 | − | 0.206559i | ||||
\(157\) | 0.303475 | + | 3.53329i | 0.0242199 | + | 0.281988i | 0.998415 | + | 0.0562800i | \(0.0179239\pi\) |
−0.974195 | + | 0.225708i | \(0.927531\pi\) | |||||||
\(158\) | 1.42293 | − | 16.5668i | 0.113202 | − | 1.31799i | ||||
\(159\) | 0.139574 | + | 0.0241542i | 0.0110689 | + | 0.00191555i | ||||
\(160\) | 7.27777 | − | 3.07561i | 0.575358 | − | 0.243148i | ||||
\(161\) | 14.5666 | − | 10.5833i | 1.14801 | − | 0.834078i | ||||
\(162\) | −8.63772 | + | 4.87794i | −0.678643 | + | 0.383247i | ||||
\(163\) | 0.567627 | + | 19.8695i | 0.0444600 | + | 1.55630i | 0.649657 | + | 0.760227i | \(0.274913\pi\) |
−0.605197 | + | 0.796076i | \(0.706906\pi\) | |||||||
\(164\) | −2.92276 | + | 0.858200i | −0.228229 | + | 0.0670142i | ||||
\(165\) | 1.87587 | − | 4.30233i | 0.146037 | − | 0.334936i | ||||
\(166\) | 15.9689 | + | 4.68889i | 1.23943 | + | 0.363929i | ||||
\(167\) | −3.33101 | + | 12.6725i | −0.257762 | + | 0.980627i | 0.704765 | + | 0.709441i | \(0.251052\pi\) |
−0.962527 | + | 0.271186i | \(0.912584\pi\) | |||||||
\(168\) | 0.178142 | − | 0.879165i | 0.0137440 | − | 0.0678291i | ||||
\(169\) | −8.47043 | − | 16.0533i | −0.651572 | − | 1.23487i | ||||
\(170\) | −0.377537 | + | 13.2155i | −0.0289558 | + | 1.01358i | ||||
\(171\) | 1.12912 | + | 4.29563i | 0.0863463 | + | 0.328495i | ||||
\(172\) | −14.8180 | + | 0.847323i | −1.12986 | + | 0.0646078i | ||||
\(173\) | 11.6834 | − | 12.0220i | 0.888276 | − | 0.914015i | −0.108512 | − | 0.994095i | \(-0.534609\pi\) |
0.996788 | + | 0.0800806i | \(0.0255178\pi\) | |||||||
\(174\) | −19.6514 | + | 9.66192i | −1.48977 | + | 0.732469i | ||||
\(175\) | 1.57547 | − | 3.44979i | 0.119094 | − | 0.260780i | ||||
\(176\) | 12.9185 | − | 4.86192i | 0.973769 | − | 0.366481i | ||||
\(177\) | −2.87397 | − | 6.29311i | −0.216021 | − | 0.473019i | ||||
\(178\) | 1.30540 | + | 1.06742i | 0.0978438 | + | 0.0800065i | ||||
\(179\) | 7.40802 | − | 14.0398i | 0.553702 | − | 1.04938i | −0.435133 | − | 0.900366i | \(-0.643299\pi\) |
0.988835 | − | 0.149015i | \(-0.0476103\pi\) | |||||||
\(180\) | −1.66355 | − | 0.939450i | −0.123994 | − | 0.0700224i | ||||
\(181\) | −25.4810 | + | 2.92368i | −1.89399 | + | 0.217315i | −0.981456 | − | 0.191687i | \(-0.938604\pi\) |
−0.912534 | + | 0.409002i | \(0.865877\pi\) | |||||||
\(182\) | 41.6120 | − | 4.77453i | 3.08448 | − | 0.353911i | ||||
\(183\) | −4.39707 | − | 2.48314i | −0.325041 | − | 0.183559i | ||||
\(184\) | 0.370306 | − | 0.701807i | 0.0272993 | − | 0.0517379i | ||||
\(185\) | 2.39386 | + | 1.95745i | 0.176000 | + | 0.143915i | ||||
\(186\) | −10.3583 | − | 22.6815i | −0.759506 | − | 1.66309i | ||||
\(187\) | −1.51548 | + | 22.1077i | −0.110823 | + | 1.61668i | ||||
\(188\) | −7.74973 | + | 16.9696i | −0.565208 | + | 1.23763i | ||||
\(189\) | −19.2525 | + | 9.46582i | −1.40041 | + | 0.688537i | ||||
\(190\) | 6.14143 | − | 6.31939i | 0.445546 | − | 0.458456i | ||||
\(191\) | −18.5347 | + | 1.05985i | −1.34112 | + | 0.0766880i | −0.712855 | − | 0.701311i | \(-0.752598\pi\) |
−0.628265 | + | 0.777999i | \(0.716235\pi\) | |||||||
\(192\) | 2.63003 | + | 10.0057i | 0.189806 | + | 0.722097i | ||||
\(193\) | 0.363318 | − | 12.7178i | 0.0261522 | − | 0.915447i | −0.875560 | − | 0.483110i | \(-0.839507\pi\) |
0.901712 | − | 0.432337i | \(-0.142311\pi\) | |||||||
\(194\) | −7.83236 | − | 14.8440i | −0.562331 | − | 1.06574i | ||||
\(195\) | 1.56854 | − | 7.74103i | 0.112325 | − | 0.554347i | ||||
\(196\) | −3.59534 | + | 13.6781i | −0.256810 | + | 0.977007i | ||||
\(197\) | −0.231473 | − | 0.0679667i | −0.0164918 | − | 0.00484242i | 0.273476 | − | 0.961879i | \(-0.411827\pi\) |
−0.289968 | + | 0.957036i | \(0.593645\pi\) | |||||||
\(198\) | −5.56665 | − | 3.44336i | −0.395604 | − | 0.244709i | ||||
\(199\) | −1.62720 | + | 0.477790i | −0.115349 | + | 0.0338696i | −0.338898 | − | 0.940823i | \(-0.610054\pi\) |
0.223548 | + | 0.974693i | \(0.428236\pi\) | |||||||
\(200\) | −0.00477285 | − | 0.167072i | −0.000337491 | − | 0.0118137i | ||||
\(201\) | −0.362683 | + | 0.204816i | −0.0255817 | + | 0.0144466i | ||||
\(202\) | −6.35822 | + | 4.61951i | −0.447362 | + | 0.325028i | ||||
\(203\) | −27.3185 | + | 11.5449i | −1.91738 | + | 0.810292i | ||||
\(204\) | −17.8463 | − | 3.08843i | −1.24949 | − | 0.216233i | ||||
\(205\) | −0.136085 | + | 1.58440i | −0.00950455 | + | 0.110660i | ||||
\(206\) | −2.25499 | − | 26.2543i | −0.157112 | − | 1.82923i | ||||
\(207\) | −4.66574 | + | 0.807437i | −0.324291 | + | 0.0561208i | ||||
\(208\) | 19.5408 | − | 12.5581i | 1.35491 | − | 0.870750i | ||||
\(209\) | 10.7078 | − | 10.1731i | 0.740675 | − | 0.703687i | ||||
\(210\) | 8.93410 | + | 5.74160i | 0.616511 | + | 0.396208i | ||||
\(211\) | 23.2101 | + | 9.80866i | 1.59785 | + | 0.675256i | 0.992672 | − | 0.120837i | \(-0.0385579\pi\) |
0.605175 | + | 0.796093i | \(0.293103\pi\) | |||||||
\(212\) | −0.186752 | + | 0.0434272i | −0.0128262 | + | 0.00298259i | ||||
\(213\) | 1.13817 | − | 2.92336i | 0.0779858 | − | 0.200305i | ||||
\(214\) | −2.74235 | − | 4.54767i | −0.187463 | − | 0.310872i | ||||
\(215\) | −2.39437 | + | 7.36911i | −0.163295 | + | 0.502569i | ||||
\(216\) | −0.577358 | + | 0.748731i | −0.0392842 | + | 0.0509447i | ||||
\(217\) | −12.2522 | − | 31.4695i | −0.831732 | − | 2.13629i | ||||
\(218\) | −3.06029 | − | 4.47554i | −0.207269 | − | 0.303122i | ||||
\(219\) | 0.698588 | − | 4.85878i | 0.0472062 | − | 0.328326i | ||||
\(220\) | −0.0719341 | + | 6.35270i | −0.00484980 | + | 0.428299i | ||||
\(221\) | 5.30703 | + | 36.9112i | 0.356989 | + | 2.48292i | ||||
\(222\) | −6.37954 | + | 5.85509i | −0.428167 | + | 0.392968i | ||||
\(223\) | 12.4421 | + | 0.711464i | 0.833183 | + | 0.0476431i | 0.468473 | − | 0.883478i | \(-0.344804\pi\) |
0.364710 | + | 0.931121i | \(0.381168\pi\) | |||||||
\(224\) | 5.95067 | + | 29.3677i | 0.397596 | + | 1.96221i | ||||
\(225\) | −0.772102 | + | 0.631345i | −0.0514735 | + | 0.0420897i | ||||
\(226\) | 28.1629 | + | 13.8468i | 1.87337 | + | 0.921075i | ||||
\(227\) | −21.6727 | + | 7.73281i | −1.43847 | + | 0.513245i | −0.936200 | − | 0.351467i | \(-0.885683\pi\) |
−0.502269 | + | 0.864712i | \(0.667501\pi\) | |||||||
\(228\) | 7.37160 | + | 9.55966i | 0.488196 | + | 0.633104i | ||||
\(229\) | −12.4456 | + | 20.6387i | −0.822429 | + | 1.36385i | 0.106777 | + | 0.994283i | \(0.465947\pi\) |
−0.929206 | + | 0.369562i | \(0.879508\pi\) | |||||||
\(230\) | 6.15202 | + | 7.09981i | 0.405652 | + | 0.468148i | ||||
\(231\) | 14.5789 | + | 10.2129i | 0.959218 | + | 0.671961i | ||||
\(232\) | −0.855933 | + | 0.987799i | −0.0561947 | + | 0.0648522i | ||||
\(233\) | −6.50456 | − | 20.0190i | −0.426128 | − | 1.31149i | −0.901910 | − | 0.431924i | \(-0.857835\pi\) |
0.475782 | − | 0.879563i | \(-0.342165\pi\) | |||||||
\(234\) | −10.3744 | − | 3.70159i | −0.678198 | − | 0.241981i | ||||
\(235\) | 6.78748 | + | 6.98416i | 0.442767 | + | 0.455596i | ||||
\(236\) | 6.89928 | + | 6.33210i | 0.449105 | + | 0.412185i | ||||
\(237\) | 6.71214 | − | 9.81620i | 0.436001 | − | 0.637631i | ||||
\(238\) | −48.8375 | − | 11.3567i | −3.16566 | − | 0.736143i | ||||
\(239\) | 7.05713 | + | 5.12731i | 0.456488 | + | 0.331658i | 0.792152 | − | 0.610324i | \(-0.208961\pi\) |
−0.335664 | + | 0.941982i | \(0.608961\pi\) | |||||||
\(240\) | 5.85116 | + | 0.671358i | 0.377691 | + | 0.0433360i | ||||
\(241\) | 6.92791 | 0.446266 | 0.223133 | − | 0.974788i | \(-0.428372\pi\) | ||||
0.223133 | + | 0.974788i | \(0.428372\pi\) | |||||||
\(242\) | −1.11408 | + | 21.7379i | −0.0716159 | + | 1.39737i | ||||
\(243\) | 9.87620 | 0.633559 | ||||||||
\(244\) | 6.79080 | + | 0.779172i | 0.434737 | + | 0.0498814i | ||||
\(245\) | 5.97312 | + | 4.33972i | 0.381608 | + | 0.277255i | ||||
\(246\) | −4.33733 | − | 1.00860i | −0.276538 | − | 0.0643061i | ||||
\(247\) | 14.0293 | − | 20.5172i | 0.892663 | − | 1.30548i | ||||
\(248\) | −1.09649 | − | 1.00635i | −0.0696271 | − | 0.0639031i | ||||
\(249\) | 8.29531 | + | 8.53567i | 0.525694 | + | 0.540926i | ||||
\(250\) | 1.86369 | + | 0.664965i | 0.117870 | + | 0.0420561i | ||||
\(251\) | −8.03155 | − | 24.7186i | −0.506947 | − | 1.56022i | −0.797473 | − | 0.603355i | \(-0.793830\pi\) |
0.290526 | − | 0.956867i | \(-0.406170\pi\) | |||||||
\(252\) | 4.74483 | − | 5.47583i | 0.298896 | − | 0.344945i | ||||
\(253\) | 9.82874 | + | 12.3017i | 0.617928 | + | 0.773401i | ||||
\(254\) | −4.66250 | − | 5.38081i | −0.292551 | − | 0.337622i | ||||
\(255\) | −4.88260 | + | 8.09688i | −0.305760 | + | 0.507046i | ||||
\(256\) | 10.5426 | + | 13.6719i | 0.658916 | + | 0.854497i | ||||
\(257\) | 14.1109 | − | 5.03475i | 0.880212 | − | 0.314059i | 0.143002 | − | 0.989722i | \(-0.454325\pi\) |
0.737210 | + | 0.675663i | \(0.236143\pi\) | |||||||
\(258\) | −19.4711 | − | 9.57329i | −1.21222 | − | 0.596007i | ||||
\(259\) | −9.07875 | + | 7.42366i | −0.564126 | + | 0.461284i | ||||
\(260\) | 2.12316 | + | 10.4782i | 0.131673 | + | 0.649832i | ||||
\(261\) | 7.78676 | + | 0.445263i | 0.481988 | + | 0.0275611i | ||||
\(262\) | −15.2084 | + | 13.9582i | −0.939579 | + | 0.862338i | ||||
\(263\) | 2.53249 | + | 17.6138i | 0.156160 | + | 1.08612i | 0.905627 | + | 0.424074i | \(0.139400\pi\) |
−0.749468 | + | 0.662041i | \(0.769691\pi\) | |||||||
\(264\) | 0.775172 | + | 0.120427i | 0.0477085 | + | 0.00741174i | ||||
\(265\) | −0.0142449 | + | 0.0990757i | −0.000875059 | + | 0.00608617i | ||||
\(266\) | 18.8636 | + | 27.5871i | 1.15660 | + | 1.69147i | ||||
\(267\) | 0.437527 | + | 1.12378i | 0.0267762 | + | 0.0687741i | ||||
\(268\) | 0.344283 | − | 0.446474i | 0.0210304 | − | 0.0272727i | ||||
\(269\) | 2.19190 | − | 6.74597i | 0.133642 | − | 0.411309i | −0.861734 | − | 0.507360i | \(-0.830621\pi\) |
0.995376 | + | 0.0960513i | \(0.0306213\pi\) | |||||||
\(270\) | −5.78035 | − | 9.58564i | −0.351781 | − | 0.583363i | ||||
\(271\) | −9.15354 | + | 23.5107i | −0.556038 | + | 1.42817i | 0.320690 | + | 0.947184i | \(0.396085\pi\) |
−0.876727 | + | 0.480987i | \(0.840278\pi\) | |||||||
\(272\) | −27.0839 | + | 6.29809i | −1.64220 | + | 0.381878i | ||||
\(273\) | 27.5919 | + | 11.6604i | 1.66994 | + | 0.705721i | ||||
\(274\) | −8.51284 | − | 5.47087i | −0.514280 | − | 0.330507i | ||||
\(275\) | 3.07682 | + | 1.23821i | 0.185539 | + | 0.0746671i | ||||
\(276\) | −10.8266 | + | 6.95781i | −0.651683 | + | 0.418811i | ||||
\(277\) | 8.33417 | − | 1.44228i | 0.500752 | − | 0.0866585i | 0.0854504 | − | 0.996342i | \(-0.472767\pi\) |
0.415301 | + | 0.909684i | \(0.363676\pi\) | |||||||
\(278\) | 1.98031 | + | 23.0563i | 0.118771 | + | 1.38282i | ||||
\(279\) | −0.759995 | + | 8.84846i | −0.0454997 | + | 0.529744i | ||||
\(280\) | 0.624596 | + | 0.108091i | 0.0373268 | + | 0.00645965i | ||||
\(281\) | 3.41916 | − | 1.44495i | 0.203970 | − | 0.0861985i | −0.284892 | − | 0.958560i | \(-0.591958\pi\) |
0.488862 | + | 0.872361i | \(0.337412\pi\) | |||||||
\(282\) | −22.0632 | + | 16.0299i | −1.31385 | + | 0.954565i | ||||
\(283\) | −24.6974 | + | 13.9473i | −1.46811 | + | 0.829080i | −0.998551 | − | 0.0538213i | \(-0.982860\pi\) |
−0.469559 | + | 0.882901i | \(0.655587\pi\) | |||||||
\(284\) | 0.121260 | + | 4.24464i | 0.00719543 | + | 0.251873i | ||||
\(285\) | 6.04676 | − | 1.77549i | 0.358179 | − | 0.105171i | ||||
\(286\) | 5.83702 | + | 36.1611i | 0.345150 | + | 2.13825i | ||||
\(287\) | −5.78670 | − | 1.69913i | −0.341578 | − | 0.100296i | ||||
\(288\) | 2.00328 | − | 7.62126i | 0.118044 | − | 0.449087i | ||||
\(289\) | 5.48920 | − | 27.0903i | 0.322894 | − | 1.59354i | ||||
\(290\) | −7.22128 | − | 13.6858i | −0.424048 | − | 0.803660i | ||||
\(291\) | 0.342759 | − | 11.9981i | 0.0200929 | − | 0.703343i | ||||
\(292\) | 1.68914 | + | 6.42617i | 0.0988496 | + | 0.376063i | ||||
\(293\) | 19.2033 | − | 1.09808i | 1.12187 | − | 0.0641506i | 0.513707 | − | 0.857966i | \(-0.328272\pi\) |
0.608159 | + | 0.793815i | \(0.291908\pi\) | |||||||
\(294\) | −14.4090 | + | 14.8265i | −0.840349 | + | 0.864699i | ||||
\(295\) | 4.38717 | − | 2.15703i | 0.255431 | − | 0.125587i | ||||
\(296\) | −0.214704 | + | 0.470136i | −0.0124794 | + | 0.0273261i | ||||
\(297\) | −9.04016 | − | 16.4400i | −0.524563 | − | 0.953948i | ||||
\(298\) | −4.12845 | − | 9.04004i | −0.239154 | − | 0.523675i | ||||
\(299\) | 20.5130 | + | 16.7734i | 1.18630 | + | 0.970030i | ||||
\(300\) | −1.26502 | + | 2.39748i | −0.0730361 | + | 0.138419i | ||||
\(301\) | −25.5875 | − | 14.4499i | −1.47484 | − | 0.832879i | ||||
\(302\) | 38.1616 | − | 4.37864i | 2.19595 | − | 0.251962i | ||||
\(303\) | −5.58397 | + | 0.640701i | −0.320791 | + | 0.0368073i | ||||
\(304\) | 16.1381 | + | 9.11362i | 0.925585 | + | 0.522702i | ||||
\(305\) | 1.66525 | − | 3.15600i | 0.0953518 | − | 0.180712i | ||||
\(306\) | 10.2079 | + | 8.34696i | 0.583547 | + | 0.477164i | ||||
\(307\) | 2.10328 | + | 4.60554i | 0.120041 | + | 0.262852i | 0.960108 | − | 0.279630i | \(-0.0902118\pi\) |
−0.840067 | + | 0.542482i | \(0.817485\pi\) | |||||||
\(308\) | −23.5587 | − | 5.05196i | −1.34238 | − | 0.287862i | ||||
\(309\) | 7.82860 | − | 17.1423i | 0.445354 | − | 0.975189i | ||||
\(310\) | 15.8121 | − | 7.77430i | 0.898068 | − | 0.441550i | ||||
\(311\) | 6.68237 | − | 6.87600i | 0.378923 | − | 0.389902i | −0.500663 | − | 0.865642i | \(-0.666911\pi\) |
0.879586 | + | 0.475740i | \(0.157820\pi\) | |||||||
\(312\) | 1.31797 | − | 0.0753645i | 0.0746156 | − | 0.00426667i | ||||
\(313\) | −2.73325 | − | 10.3984i | −0.154493 | − | 0.587751i | −0.998664 | − | 0.0516772i | \(-0.983543\pi\) |
0.844171 | − | 0.536074i | \(-0.180093\pi\) | |||||||
\(314\) | 0.200387 | − | 7.01446i | 0.0113085 | − | 0.395849i | ||||
\(315\) | −1.76518 | − | 3.34539i | −0.0994567 | − | 0.188491i | ||||
\(316\) | −3.19660 | + | 15.7758i | −0.179823 | + | 0.887461i | ||||
\(317\) | −0.741440 | + | 2.82073i | −0.0416434 | + | 0.158428i | −0.984719 | − | 0.174150i | \(-0.944282\pi\) |
0.943076 | + | 0.332578i | \(0.107919\pi\) | |||||||
\(318\) | −0.268936 | − | 0.0789666i | −0.0150812 | − | 0.00442823i | ||||
\(319\) | −11.1794 | − | 23.4032i | −0.625924 | − | 1.31033i | ||||
\(320\) | −7.01447 | + | 2.05963i | −0.392121 | + | 0.115137i | ||||
\(321\) | −0.108453 | − | 3.79635i | −0.00605326 | − | 0.211892i | ||||
\(322\) | −31.0233 | + | 17.5197i | −1.72886 | + | 0.976332i | ||||
\(323\) | −24.0715 | + | 17.4890i | −1.33938 | + | 0.973114i | ||||
\(324\) | 8.84544 | − | 3.73812i | 0.491414 | − | 0.207673i | ||||
\(325\) | 5.49955 | + | 0.951735i | 0.305060 | + | 0.0527928i | ||||
\(326\) | 3.36595 | − | 39.1890i | 0.186423 | − | 2.17048i | ||||
\(327\) | −0.331814 | − | 3.86324i | −0.0183494 | − | 0.213638i | ||||
\(328\) | −0.261899 | + | 0.0453234i | −0.0144609 | + | 0.00250256i | ||||
\(329\) | −31.0720 | + | 19.9688i | −1.71305 | + | 1.10091i | ||||
\(330\) | −4.65818 | + | 8.03471i | −0.256424 | + | 0.442296i | ||||
\(331\) | −0.225182 | − | 0.144715i | −0.0123771 | − | 0.00795428i | 0.534438 | − | 0.845208i | \(-0.320523\pi\) |
−0.546815 | + | 0.837254i | \(0.684160\pi\) | |||||||
\(332\) | −14.8404 | − | 6.27160i | −0.814472 | − | 0.344199i | ||||
\(333\) | 3.00398 | − | 0.698546i | 0.164617 | − | 0.0382801i | ||||
\(334\) | 9.40679 | − | 24.1612i | 0.514717 | − | 1.32204i | ||||
\(335\) | −0.151991 | − | 0.252049i | −0.00830417 | − | 0.0137709i | ||||
\(336\) | −6.90227 | + | 21.2430i | −0.376549 | + | 1.15890i | ||||
\(337\) | 7.47862 | − | 9.69845i | 0.407386 | − | 0.528308i | −0.542853 | − | 0.839827i | \(-0.682656\pi\) |
0.950240 | + | 0.311519i | \(0.100838\pi\) | |||||||
\(338\) | 13.0308 | + | 33.4693i | 0.708780 | + | 1.82049i | ||||
\(339\) | 12.6683 | + | 18.5268i | 0.688048 | + | 1.00624i | ||||
\(340\) | 1.82140 | − | 12.6681i | 0.0987794 | − | 0.687026i | ||||
\(341\) | 27.0012 | − | 11.9634i | 1.46220 | − | 0.647857i | ||||
\(342\) | −1.25078 | − | 8.69936i | −0.0676344 | − | 0.470407i | ||||
\(343\) | −1.07064 | + | 0.982626i | −0.0578092 | + | 0.0530568i | ||||
\(344\) | −1.29294 | − | 0.0739331i | −0.0697108 | − | 0.00398621i | ||||
\(345\) | 1.33424 | + | 6.58471i | 0.0718328 | + | 0.354509i | ||||
\(346\) | −25.6799 | + | 20.9983i | −1.38056 | + | 1.12888i | ||||
\(347\) | 16.2827 | + | 8.00566i | 0.874101 | + | 0.429767i | 0.822409 | − | 0.568897i | \(-0.192630\pi\) |
0.0516920 | + | 0.998663i | \(0.483539\pi\) | |||||||
\(348\) | 19.9655 | − | 7.12369i | 1.07026 | − | 0.381870i | ||||
\(349\) | −3.36024 | − | 4.35764i | −0.179870 | − | 0.233259i | 0.693332 | − | 0.720618i | \(-0.256142\pi\) |
−0.873201 | + | 0.487359i | \(0.837960\pi\) | |||||||
\(350\) | −3.87532 | + | 6.42649i | −0.207144 | + | 0.343510i | ||||
\(351\) | −20.6756 | − | 23.8610i | −1.10358 | − | 1.27360i | ||||
\(352\) | −25.4174 | + | 6.37429i | −1.35475 | + | 0.339751i | ||||
\(353\) | 14.5141 | − | 16.7502i | 0.772508 | − | 0.891522i | −0.224036 | − | 0.974581i | \(-0.571923\pi\) |
0.996545 | + | 0.0830585i | \(0.0264688\pi\) | |||||||
\(354\) | 4.23036 | + | 13.0197i | 0.224841 | + | 0.691990i | ||||
\(355\) | 2.08789 | + | 0.744957i | 0.110814 | + | 0.0395382i | ||||
\(356\) | −1.13766 | − | 1.17062i | −0.0602957 | − | 0.0620428i | ||||
\(357\) | −26.4186 | − | 24.2467i | −1.39822 | − | 1.28327i | ||||
\(358\) | −17.7301 | + | 25.9294i | −0.937064 | + | 1.37041i | ||||
\(359\) | −21.5320 | − | 5.00705i | −1.13641 | − | 0.264262i | −0.384244 | − | 0.923231i | \(-0.625538\pi\) |
−0.752170 | + | 0.658970i | \(0.770993\pi\) | |||||||
\(360\) | −0.134863 | − | 0.0979835i | −0.00710789 | − | 0.00516418i | ||||
\(361\) | 0.826315 | + | 0.0948109i | 0.0434903 | + | 0.00499005i | ||||
\(362\) | 50.7519 | 2.66746 | ||||||||
\(363\) | −8.33834 | + | 13.1450i | −0.437649 | + | 0.689933i | ||||
\(364\) | −40.5464 | −2.12521 | ||||||||
\(365\) | 3.44611 | + | 0.395405i | 0.180378 | + | 0.0206964i | ||||
\(366\) | 8.08398 | + | 5.87336i | 0.422557 | + | 0.307005i | ||||
\(367\) | −7.78432 | − | 1.81017i | −0.406338 | − | 0.0944899i | 0.0183454 | − | 0.999832i | \(-0.494160\pi\) |
−0.424684 | + | 0.905342i | \(0.639615\pi\) | |||||||
\(368\) | −11.1526 | + | 16.3101i | −0.581368 | + | 0.850223i | ||||
\(369\) | 1.16851 | + | 1.07245i | 0.0608300 | + | 0.0558293i | ||||
\(370\) | −4.26450 | − | 4.38806i | −0.221701 | − | 0.228125i | ||||
\(371\) | −0.357534 | − | 0.127568i | −0.0185622 | − | 0.00662299i | ||||
\(372\) | 7.45903 | + | 22.9565i | 0.386733 | + | 1.19024i | ||||
\(373\) | −13.0541 | + | 15.0652i | −0.675914 | + | 0.780047i | −0.985290 | − | 0.170893i | \(-0.945335\pi\) |
0.309375 | + | 0.950940i | \(0.399880\pi\) | |||||||
\(374\) | 7.96593 | − | 43.1192i | 0.411908 | − | 2.22964i | ||||
\(375\) | 0.926723 | + | 1.06949i | 0.0478558 | + | 0.0552285i | ||||
\(376\) | −0.840579 | + | 1.39394i | −0.0433496 | + | 0.0718872i | ||||
\(377\) | −26.6525 | − | 34.5635i | −1.37267 | − | 1.78011i | ||||
\(378\) | 39.9831 | − | 14.2660i | 2.05651 | − | 0.733761i | ||||
\(379\) | −3.47758 | − | 1.70981i | −0.178631 | − | 0.0878271i | 0.349715 | − | 0.936856i | \(-0.386279\pi\) |
−0.528346 | + | 0.849029i | \(0.677188\pi\) | |||||||
\(380\) | −6.60375 | + | 5.39986i | −0.338765 | + | 0.277007i | ||||
\(381\) | −1.01119 | − | 4.99042i | −0.0518049 | − | 0.255667i | ||||
\(382\) | 36.6758 | + | 2.09720i | 1.87650 | + | 0.107302i | ||||
\(383\) | 23.7625 | − | 21.8090i | 1.21421 | − | 1.11439i | 0.224027 | − | 0.974583i | \(-0.428080\pi\) |
0.990179 | − | 0.139805i | \(-0.0446477\pi\) | |||||||
\(384\) | 0.269050 | + | 1.87128i | 0.0137299 | + | 0.0954936i | ||||
\(385\) | −6.91975 | + | 10.5039i | −0.352663 | + | 0.535329i | ||||
\(386\) | −3.58290 | + | 24.9196i | −0.182365 | + | 1.26838i | ||||
\(387\) | 4.36198 | + | 6.37919i | 0.221732 | + | 0.324272i | ||||
\(388\) | 5.89463 | + | 15.1402i | 0.299254 | + | 0.768628i | ||||
\(389\) | −5.62011 | + | 7.28829i | −0.284951 | + | 0.369531i | −0.912521 | − | 0.409029i | \(-0.865868\pi\) |
0.627571 | + | 0.778560i | \(0.284049\pi\) | |||||||
\(390\) | −4.82963 | + | 14.8641i | −0.244558 | + | 0.752672i | ||||
\(391\) | −16.3804 | − | 27.1638i | −0.828390 | − | 1.37373i | ||||
\(392\) | −0.447713 | + | 1.14994i | −0.0226129 | + | 0.0580808i | ||||
\(393\) | −14.3793 | + | 3.34377i | −0.725342 | + | 0.168671i | ||||
\(394\) | 0.439716 | + | 0.185826i | 0.0221526 | + | 0.00936176i | ||||
\(395\) | 7.06915 | + | 4.54307i | 0.355687 | + | 0.228586i | ||||
\(396\) | 4.97365 | + | 3.92586i | 0.249936 | + | 0.197282i | ||||
\(397\) | 8.56639 | − | 5.50529i | 0.429935 | − | 0.276302i | −0.307724 | − | 0.951476i | \(-0.599567\pi\) |
0.737659 | + | 0.675173i | \(0.235931\pi\) | |||||||
\(398\) | 3.30665 | − | 0.572238i | 0.165747 | − | 0.0286837i | ||||
\(399\) | 2.04529 | + | 23.8129i | 0.102393 | + | 1.19214i | ||||
\(400\) | −0.356146 | + | 4.14653i | −0.0178073 | + | 0.207327i | ||||
\(401\) | −34.5946 | − | 5.98684i | −1.72757 | − | 0.298968i | −0.781736 | − | 0.623609i | \(-0.785666\pi\) |
−0.945837 | + | 0.324641i | \(0.894757\pi\) | |||||||
\(402\) | 0.759187 | − | 0.320835i | 0.0378648 | − | 0.0160018i | ||||
\(403\) | 40.2071 | − | 29.2121i | 2.00286 | − | 1.45516i | ||||
\(404\) | 6.62466 | − | 3.74112i | 0.329589 | − | 0.186127i | ||||
\(405\) | −0.143156 | − | 5.01112i | −0.00711349 | − | 0.249005i | ||||
\(406\) | 56.3087 | − | 16.5337i | 2.79456 | − | 0.820556i | ||||
\(407\) | −6.84880 | − | 7.63400i | −0.339482 | − | 0.378403i | ||||
\(408\) | −1.51631 | − | 0.445229i | −0.0750686 | − | 0.0220421i | ||||
\(409\) | 5.12966 | − | 19.5152i | 0.253645 | − | 0.964967i | −0.711380 | − | 0.702808i | \(-0.751929\pi\) |
0.965025 | − | 0.262159i | \(-0.0844343\pi\) | |||||||
\(410\) | 0.624907 | − | 3.08404i | 0.0308620 | − | 0.152310i | ||||
\(411\) | −3.37723 | − | 6.40056i | −0.166586 | − | 0.315716i | ||||
\(412\) | −0.728432 | + | 25.4985i | −0.0358873 | + | 1.25622i | ||||
\(413\) | 4.71339 | + | 17.9316i | 0.231931 | + | 0.882356i | ||||
\(414\) | 9.35437 | − | 0.534902i | 0.459742 | − | 0.0262890i | ||||
\(415\) | −5.86181 | + | 6.03166i | −0.287745 | + | 0.296082i | ||||
\(416\) | −39.5732 | + | 19.4568i | −1.94023 | + | 0.953949i | ||||
\(417\) | −6.87500 | + | 15.0542i | −0.336670 | + | 0.737205i | ||||
\(418\) | −23.3449 | + | 17.5837i | −1.14184 | + | 0.860047i | ||||
\(419\) | −7.54235 | − | 16.5154i | −0.368468 | − | 0.806832i | −0.999517 | − | 0.0310891i | \(-0.990102\pi\) |
0.631049 | − | 0.775743i | \(-0.282625\pi\) | |||||||
\(420\) | −7.95863 | − | 6.50774i | −0.388341 | − | 0.317545i | ||||
\(421\) | 6.80110 | − | 12.8895i | 0.331465 | − | 0.628196i | −0.661047 | − | 0.750345i | \(-0.729887\pi\) |
0.992512 | + | 0.122148i | \(0.0389784\pi\) | |||||||
\(422\) | −43.4156 | − | 24.5179i | −2.11344 | − | 1.19351i | ||||
\(423\) | 9.65004 | − | 1.10724i | 0.469201 | − | 0.0538358i | ||||
\(424\) | −0.0166207 | + | 0.00190705i | −0.000807173 | + | 9.26145e-5i | ||||
\(425\) | −5.81778 | − | 3.28545i | −0.282204 | − | 0.159368i | ||||
\(426\) | −2.89689 | + | 5.49022i | −0.140355 | + | 0.266002i | ||||
\(427\) | 10.4766 | + | 8.56665i | 0.506997 | + | 0.414569i | ||||
\(428\) | 2.13557 | + | 4.67625i | 0.103227 | + | 0.226035i | ||||
\(429\) | −9.08189 | + | 24.5712i | −0.438478 | + | 1.18631i | ||||
\(430\) | 6.36922 | − | 13.9466i | 0.307151 | − | 0.672567i | ||||
\(431\) | 3.34990 | − | 1.64704i | 0.161359 | − | 0.0793350i | −0.358755 | − | 0.933432i | \(-0.616799\pi\) |
0.520114 | + | 0.854097i | \(0.325889\pi\) | |||||||
\(432\) | 16.4078 | − | 16.8832i | 0.789419 | − | 0.812293i | ||||
\(433\) | 16.7003 | − | 0.954956i | 0.802564 | − | 0.0458923i | 0.349008 | − | 0.937120i | \(-0.386519\pi\) |
0.453556 | + | 0.891228i | \(0.350155\pi\) | |||||||
\(434\) | 16.9879 | + | 64.6286i | 0.815444 | + | 3.10227i | ||||
\(435\) | 0.316017 | − | 11.0620i | 0.0151518 | − | 0.530384i | ||||
\(436\) | 2.44931 | + | 4.64197i | 0.117301 | + | 0.222310i | ||||
\(437\) | −4.19867 | + | 20.7213i | −0.200850 | + | 0.991233i | ||||
\(438\) | −2.46930 | + | 9.39417i | −0.117987 | + | 0.448871i | ||||
\(439\) | 21.0797 | + | 6.18955i | 1.00608 | + | 0.295411i | 0.742948 | − | 0.669349i | \(-0.233427\pi\) |
0.263130 | + | 0.964760i | \(0.415245\pi\) | |||||||
\(440\) | −0.0694216 | + | 0.549976i | −0.00330955 | + | 0.0262191i | ||||
\(441\) | 7.06545 | − | 2.07460i | 0.336450 | − | 0.0987906i | ||||
\(442\) | −2.10715 | − | 73.7598i | −0.100227 | − | 3.50839i | ||||
\(443\) | 17.8800 | − | 10.0973i | 0.849503 | − | 0.479736i | −0.00450924 | − | 0.999990i | \(-0.501435\pi\) |
0.854012 | + | 0.520254i | \(0.174163\pi\) | |||||||
\(444\) | 6.78151 | − | 4.92706i | 0.321836 | − | 0.233828i | ||||
\(445\) | −0.784956 | + | 0.331725i | −0.0372105 | + | 0.0157253i | ||||
\(446\) | −24.2991 | − | 4.20512i | −1.15059 | − | 0.199118i | ||||
\(447\) | 0.608214 | − | 7.08131i | 0.0287676 | − | 0.334935i | ||||
\(448\) | −2.37262 | − | 27.6239i | −0.112096 | − | 1.30511i | ||||
\(449\) | −1.29171 | + | 0.223540i | −0.0609597 | + | 0.0105495i | −0.200920 | − | 0.979608i | \(-0.564393\pi\) |
0.139961 | + | 0.990157i | \(0.455302\pi\) | |||||||
\(450\) | 1.66026 | − | 1.06699i | 0.0782655 | − | 0.0502982i | ||||
\(451\) | 1.25268 | − | 5.12330i | 0.0589865 | − | 0.241247i | ||||
\(452\) | −25.5572 | − | 16.4246i | −1.20211 | − | 0.772550i | ||||
\(453\) | 25.3041 | + | 10.6936i | 1.18889 | + | 0.502428i | ||||
\(454\) | 44.3500 | − | 10.3132i | 2.08145 | − | 0.484021i | ||||
\(455\) | −7.67961 | + | 19.7249i | −0.360026 | + | 0.924719i | ||||
\(456\) | 0.543932 | + | 0.902011i | 0.0254720 | + | 0.0422405i | ||||
\(457\) | 10.6822 | − | 32.8763i | 0.499691 | − | 1.53789i | −0.309826 | − | 0.950793i | \(-0.600271\pi\) |
0.809517 | − | 0.587097i | \(-0.199729\pi\) | |||||||
\(458\) | 29.1218 | − | 37.7658i | 1.36077 | − | 1.76468i | ||||
\(459\) | 13.7125 | + | 35.2203i | 0.640045 | + | 1.64394i | ||||
\(460\) | −5.13314 | − | 7.50698i | −0.239334 | − | 0.350015i | ||||
\(461\) | −3.46198 | + | 24.0786i | −0.161240 | + | 1.12145i | 0.735059 | + | 0.678003i | \(0.237154\pi\) |
−0.896300 | + | 0.443449i | \(0.853755\pi\) | |||||||
\(462\) | −26.3565 | − | 23.3658i | −1.22622 | − | 1.08707i | ||||
\(463\) | 1.15050 | + | 8.00194i | 0.0534685 | + | 0.371882i | 0.998934 | + | 0.0461595i | \(0.0146983\pi\) |
−0.945466 | + | 0.325722i | \(0.894393\pi\) | |||||||
\(464\) | 23.9777 | − | 22.0065i | 1.11314 | − | 1.02163i | ||||
\(465\) | 12.5806 | + | 0.719385i | 0.583411 | + | 0.0333607i | ||||
\(466\) | 8.27160 | + | 40.8219i | 0.383174 | + | 1.89104i | ||||
\(467\) | 5.93283 | − | 4.85125i | 0.274538 | − | 0.224489i | −0.485712 | − | 0.874119i | \(-0.661440\pi\) |
0.760251 | + | 0.649630i | \(0.225076\pi\) | |||||||
\(468\) | 9.56896 | + | 4.70474i | 0.442325 | + | 0.217477i | ||||
\(469\) | 1.05134 | − | 0.375116i | 0.0485462 | − | 0.0173212i | ||||
\(470\) | −11.7680 | − | 15.2610i | −0.542816 | − | 0.703936i | ||||
\(471\) | 2.59156 | − | 4.29761i | 0.119413 | − | 0.198024i | ||||
\(472\) | 0.535091 | + | 0.617528i | 0.0246296 | + | 0.0284240i | ||||
\(473\) | 11.5990 | − | 22.9318i | 0.533324 | − | 1.05440i | ||||
\(474\) | −15.4094 | + | 17.7834i | −0.707777 | + | 0.816818i | ||||
\(475\) | 1.37614 | + | 4.23532i | 0.0631417 | + | 0.194330i | ||||
\(476\) | 45.7154 | + | 16.3112i | 2.09536 | + | 0.747623i | ||||
\(477\) | 0.0695759 | + | 0.0715919i | 0.00318566 | + | 0.00327797i | ||||
\(478\) | −12.7169 | − | 11.6715i | −0.581657 | − | 0.533840i | ||||
\(479\) | −7.11257 | + | 10.4018i | −0.324982 | + | 0.475270i | −0.953018 | − | 0.302913i | \(-0.902041\pi\) |
0.628036 | + | 0.778184i | \(0.283859\pi\) | |||||||
\(480\) | −10.8904 | − | 2.53246i | −0.497078 | − | 0.115591i | ||||
\(481\) | −13.9628 | − | 10.1445i | −0.636647 | − | 0.462551i | ||||
\(482\) | −13.6194 | − | 1.56268i | −0.620346 | − | 0.0711780i | ||||
\(483\) | −25.4801 | −1.15939 | ||||||||
\(484\) | 3.47020 | − | 20.7831i | 0.157736 | − | 0.944689i | ||||
\(485\) | 8.48184 | 0.385140 | ||||||||
\(486\) | −19.4154 | − | 2.22770i | −0.880698 | − | 0.101051i | ||||
\(487\) | 18.6236 | + | 13.5308i | 0.843914 | + | 0.613140i | 0.923461 | − | 0.383692i | \(-0.125347\pi\) |
−0.0795471 | + | 0.996831i | \(0.525347\pi\) | |||||||
\(488\) | 0.580919 | + | 0.135087i | 0.0262970 | + | 0.00611510i | ||||
\(489\) | 15.8777 | − | 23.2203i | 0.718012 | − | 1.05006i | ||||
\(490\) | −10.7635 | − | 9.87866i | −0.486246 | − | 0.446272i | ||||
\(491\) | 14.9553 | + | 15.3887i | 0.674924 | + | 0.694481i | 0.964919 | − | 0.262548i | \(-0.0845627\pi\) |
−0.289995 | + | 0.957028i | \(0.593654\pi\) | |||||||
\(492\) | 4.06005 | + | 1.44862i | 0.183041 | + | 0.0653090i | ||||
\(493\) | 16.1458 | + | 49.6916i | 0.727170 | + | 2.23800i | ||||
\(494\) | −32.2077 | + | 37.1697i | −1.44909 | + | 1.67234i | ||||
\(495\) | 2.85187 | − | 1.67600i | 0.128182 | − | 0.0753307i | ||||
\(496\) | 24.2683 | + | 28.0071i | 1.08968 | + | 1.25756i | ||||
\(497\) | −4.34150 | + | 7.19957i | −0.194743 | + | 0.322945i | ||||
\(498\) | −14.3822 | − | 18.6511i | −0.644481 | − | 0.835778i | ||||
\(499\) | −8.49115 | + | 3.02964i | −0.380116 | + | 0.135625i | −0.519194 | − | 0.854656i | \(-0.673768\pi\) |
0.139078 | + | 0.990281i | \(0.455586\pi\) | |||||||
\(500\) | −1.71900 | − | 0.845174i | −0.0768759 | − | 0.0377973i | ||||
\(501\) | 14.3546 | − | 11.7377i | 0.641316 | − | 0.524401i | ||||
\(502\) | 10.2134 | + | 50.4052i | 0.455847 | + | 2.24969i | ||||
\(503\) | −9.02759 | − | 0.516216i | −0.402520 | − | 0.0230170i | −0.145343 | − | 0.989381i | \(-0.546429\pi\) |
−0.257177 | + | 0.966364i | \(0.582792\pi\) | |||||||
\(504\) | 0.465775 | − | 0.427485i | 0.0207473 | − | 0.0190417i | ||||
\(505\) | −0.565239 | − | 3.93133i | −0.0251528 | − | 0.174942i | ||||
\(506\) | −16.5473 | − | 26.4006i | −0.735615 | − | 1.17365i | ||||
\(507\) | −3.65552 | + | 25.4247i | −0.162347 | + | 1.12915i | ||||
\(508\) | 3.89031 | + | 5.68939i | 0.172605 | + | 0.252426i | ||||
\(509\) | −15.1001 | − | 38.7842i | −0.669299 | − | 1.71908i | −0.694597 | − | 0.719399i | \(-0.744417\pi\) |
0.0252981 | − | 0.999680i | \(-0.491947\pi\) | |||||||
\(510\) | 11.4249 | − | 14.8161i | 0.505904 | − | 0.656068i | ||||
\(511\) | −4.06518 | + | 12.5113i | −0.179833 | + | 0.553469i | ||||
\(512\) | −16.2619 | − | 26.9673i | −0.718680 | − | 1.19180i | ||||
\(513\) | 9.13969 | − | 23.4751i | 0.403527 | − | 1.03645i | ||||
\(514\) | −28.8758 | + | 6.71479i | −1.27366 | + | 0.296177i | ||||
\(515\) | 12.2665 | + | 5.18385i | 0.540525 | + | 0.228428i | ||||
\(516\) | 17.6696 | + | 11.3555i | 0.777859 | + | 0.499900i | ||||
\(517\) | −18.6887 | − | 26.3451i | −0.821930 | − | 1.15865i | ||||
\(518\) | 19.5222 | − | 12.5461i | 0.857755 | − | 0.551246i | ||||
\(519\) | −23.3760 | + | 4.04538i | −1.02609 | + | 0.177572i | ||||
\(520\) | 0.0798292 | + | 0.929435i | 0.00350074 | + | 0.0407584i | ||||
\(521\) | −1.73354 | + | 20.1833i | −0.0759478 | + | 0.884244i | 0.854889 | + | 0.518810i | \(0.173625\pi\) |
−0.930837 | + | 0.365434i | \(0.880921\pi\) | |||||||
\(522\) | −15.2073 | − | 2.63173i | −0.665607 | − | 0.115188i | ||||
\(523\) | 15.5292 | − | 6.56269i | 0.679044 | − | 0.286967i | −0.0223393 | − | 0.999750i | \(-0.507111\pi\) |
0.701384 | + | 0.712784i | \(0.252566\pi\) | |||||||
\(524\) | 16.1667 | − | 11.7458i | 0.706245 | − | 0.513117i | ||||
\(525\) | −4.67326 | + | 2.63911i | −0.203958 | + | 0.115180i | ||||
\(526\) | −1.00552 | − | 35.1978i | −0.0438427 | − | 1.53470i | ||||
\(527\) | −57.0843 | + | 16.7615i | −2.48663 | + | 0.730141i | ||||
\(528\) | −18.8342 | − | 5.17934i | −0.819655 | − | 0.225402i | ||||
\(529\) | 0.441721 | + | 0.129701i | 0.0192053 | + | 0.00563917i | ||||
\(530\) | 0.0503515 | − | 0.191557i | 0.00218713 | − | 0.00832071i | ||||
\(531\) | 0.968304 | − | 4.77877i | 0.0420208 | − | 0.207381i | ||||
\(532\) | −15.0975 | − | 28.6129i | −0.654560 | − | 1.24053i | ||||
\(533\) | 0.253452 | − | 8.87197i | 0.0109782 | − | 0.384287i | ||||
\(534\) | −0.606639 | − | 2.30790i | −0.0262519 | − | 0.0998724i | ||||
\(535\) | 2.67938 | − | 0.153212i | 0.115840 | − | 0.00662395i | ||||
\(536\) | 0.0342853 | − | 0.0352788i | 0.00148090 | − | 0.00152381i | ||||
\(537\) | −20.1596 | + | 9.91179i | −0.869949 | + | 0.427725i | ||||
\(538\) | −5.83063 | + | 12.7673i | −0.251376 | + | 0.550438i | ||||
\(539\) | −17.3662 | − | 17.2638i | −0.748016 | − | 0.743605i | ||||
\(540\) | 4.50139 | + | 9.85667i | 0.193709 | + | 0.424164i | ||||
\(541\) | −8.71526 | − | 7.12644i | −0.374698 | − | 0.306389i | 0.426846 | − | 0.904324i | \(-0.359625\pi\) |
−0.801545 | + | 0.597935i | \(0.795988\pi\) | |||||||
\(542\) | 23.2978 | − | 44.1543i | 1.00073 | − | 1.89659i | ||||
\(543\) | 31.6045 | + | 17.8479i | 1.35628 | + | 0.765927i | ||||
\(544\) | 52.4452 | − | 6.01753i | 2.24857 | − | 0.257999i | ||||
\(545\) | 2.72212 | − | 0.312334i | 0.116603 | − | 0.0133789i | ||||
\(546\) | −51.6120 | − | 29.1466i | −2.20879 | − | 1.24736i | ||||
\(547\) | −3.67233 | + | 6.95985i | −0.157018 | + | 0.297582i | −0.950336 | − | 0.311225i | \(-0.899261\pi\) |
0.793318 | + | 0.608807i | \(0.208352\pi\) | |||||||
\(548\) | 7.58337 | + | 6.20089i | 0.323946 | + | 0.264889i | ||||
\(549\) | −1.47846 | − | 3.23737i | −0.0630989 | − | 0.138167i | ||||
\(550\) | −5.76934 | − | 3.12819i | −0.246006 | − | 0.133386i | ||||
\(551\) | 14.4668 | − | 31.6780i | 0.616308 | − | 1.34953i | ||||
\(552\) | −1.00772 | + | 0.495462i | −0.0428913 | + | 0.0210883i | ||||
\(553\) | −22.2107 | + | 22.8542i | −0.944493 | + | 0.971861i | ||||
\(554\) | −16.7092 | + | 0.955469i | −0.709908 | + | 0.0405940i | ||||
\(555\) | −1.11246 | − | 4.23225i | −0.0472215 | − | 0.179649i | ||||
\(556\) | 0.639702 | − | 22.3925i | 0.0271294 | − | 0.949653i | ||||
\(557\) | −4.01312 | − | 7.60571i | −0.170041 | − | 0.322264i | 0.784610 | − | 0.619989i | \(-0.212863\pi\) |
−0.954652 | + | 0.297725i | \(0.903772\pi\) | |||||||
\(558\) | 3.48994 | − | 17.2235i | 0.147741 | − | 0.729130i | ||||
\(559\) | 10.9939 | − | 41.8250i | 0.464991 | − | 1.76901i | ||||
\(560\) | −15.1443 | − | 4.44678i | −0.639965 | − | 0.187911i | ||||
\(561\) | 20.1243 | − | 24.0500i | 0.849648 | − | 1.01539i | ||||
\(562\) | −7.04757 | + | 2.06935i | −0.297284 | + | 0.0872904i | ||||
\(563\) | −1.16391 | − | 40.7423i | −0.0490531 | − | 1.71708i | −0.536475 | − | 0.843916i | \(-0.680244\pi\) |
0.487422 | − | 0.873167i | \(-0.337937\pi\) | |||||||
\(564\) | 22.9878 | − | 12.9818i | 0.967960 | − | 0.546632i | ||||
\(565\) | −12.8308 | + | 9.32215i | −0.539797 | + | 0.392186i | ||||
\(566\) | 51.6980 | − | 21.8478i | 2.17303 | − | 0.918329i | ||||
\(567\) | 18.7340 | + | 3.24205i | 0.786756 | + | 0.136153i | ||||
\(568\) | −0.0317070 | + | 0.369158i | −0.00133039 | + | 0.0154895i | ||||
\(569\) | 1.81651 | + | 21.1492i | 0.0761520 | + | 0.886622i | 0.930350 | + | 0.366673i | \(0.119503\pi\) |
−0.854198 | + | 0.519948i | \(0.825951\pi\) | |||||||
\(570\) | −12.2877 | + | 2.12646i | −0.514673 | + | 0.0890677i | ||||
\(571\) | 24.3551 | − | 15.6521i | 1.01923 | − | 0.655018i | 0.0794629 | − | 0.996838i | \(-0.474679\pi\) |
0.939766 | + | 0.341819i | \(0.111043\pi\) | |||||||
\(572\) | −1.62333 | − | 35.4214i | −0.0678747 | − | 1.48104i | ||||
\(573\) | 22.1015 | + | 14.2037i | 0.923302 | + | 0.593370i | ||||
\(574\) | 10.9927 | + | 4.64553i | 0.458825 | + | 0.193901i | ||||
\(575\) | −4.62421 | + | 1.07531i | −0.192843 | + | 0.0448437i | ||||
\(576\) | −2.64536 | + | 6.79454i | −0.110223 | + | 0.283106i | ||||
\(577\) | 22.6701 | + | 37.5941i | 0.943768 | + | 1.56506i | 0.819702 | + | 0.572790i | \(0.194139\pi\) |
0.124066 | + | 0.992274i | \(0.460406\pi\) | |||||||
\(578\) | −16.9016 | + | 52.0178i | −0.703014 | + | 2.16366i | ||||
\(579\) | −10.9946 | + | 14.2581i | −0.456921 | + | 0.592546i | ||||
\(580\) | 5.43472 | + | 13.9590i | 0.225665 | + | 0.579615i | ||||
\(581\) | −18.0047 | − | 26.3310i | −0.746960 | − | 1.09239i | ||||
\(582\) | −3.38015 | + | 23.5095i | −0.140112 | + | 0.974499i | ||||
\(583\) | 0.0971290 | − | 0.317449i | 0.00402267 | − | 0.0131474i | ||||
\(584\) | 0.0825087 | + | 0.573860i | 0.00341423 | + | 0.0237465i | ||||
\(585\) | 4.10114 | − | 3.76399i | 0.169561 | − | 0.155622i | ||||
\(586\) | −37.9989 | − | 2.17285i | −1.56972 | − | 0.0897597i | ||||
\(587\) | −8.02455 | − | 39.6027i | −0.331209 | − | 1.63458i | −0.706530 | − | 0.707684i | \(-0.749740\pi\) |
0.375321 | − | 0.926895i | \(-0.377532\pi\) | |||||||
\(588\) | 15.4937 | − | 12.6691i | 0.638948 | − | 0.522465i | ||||
\(589\) | 35.5857 | + | 17.4963i | 1.46628 | + | 0.720922i | ||||
\(590\) | −9.11116 | + | 3.25086i | −0.375101 | + | 0.133836i | ||||
\(591\) | 0.208473 | + | 0.270353i | 0.00857545 | + | 0.0111208i | ||||
\(592\) | 6.64574 | − | 11.0207i | 0.273138 | − | 0.452949i | ||||
\(593\) | 14.5326 | + | 16.7715i | 0.596781 | + | 0.688722i | 0.971126 | − | 0.238567i | \(-0.0766777\pi\) |
−0.374345 | + | 0.927290i | \(0.622132\pi\) | |||||||
\(594\) | 14.0635 | + | 34.3582i | 0.577034 | + | 1.40973i | ||||
\(595\) | 16.5937 | − | 19.1501i | 0.680274 | − | 0.785078i | ||||
\(596\) | 2.97291 | + | 9.14966i | 0.121775 | + | 0.374785i | ||||
\(597\) | 2.26037 | + | 0.806499i | 0.0925109 | + | 0.0330078i | ||||
\(598\) | −36.5425 | − | 37.6013i | −1.49433 | − | 1.53763i | ||||
\(599\) | −28.7440 | − | 26.3810i | −1.17445 | − | 1.07790i | −0.995570 | − | 0.0940276i | \(-0.970026\pi\) |
−0.178879 | − | 0.983871i | \(-0.557247\pi\) | |||||||
\(600\) | −0.133506 | + | 0.195246i | −0.00545036 | + | 0.00797089i | ||||
\(601\) | 21.9072 | + | 5.09430i | 0.893613 | + | 0.207801i | 0.648066 | − | 0.761584i | \(-0.275578\pi\) |
0.245547 | + | 0.969385i | \(0.421032\pi\) | |||||||
\(602\) | 47.0424 | + | 34.1783i | 1.91730 | + | 1.39300i | ||||
\(603\) | −0.291641 | − | 0.0334627i | −0.0118766 | − | 0.00136271i | ||||
\(604\) | −37.1844 | −1.51301 | ||||||||
\(605\) | −9.45327 | − | 5.62456i | −0.384330 | − | 0.228671i | ||||
\(606\) | 11.1219 | 0.451796 | ||||||||
\(607\) | 7.00656 | + | 0.803927i | 0.284387 | + | 0.0326304i | 0.255011 | − | 0.966938i | \(-0.417921\pi\) |
0.0293759 | + | 0.999568i | \(0.490648\pi\) | |||||||
\(608\) | −28.4655 | − | 20.6814i | −1.15443 | − | 0.838740i | ||||
\(609\) | 40.8793 | + | 9.50608i | 1.65651 | + | 0.385206i | ||||
\(610\) | −3.98554 | + | 5.82867i | −0.161370 | + | 0.235996i | ||||
\(611\) | −40.0465 | − | 36.7544i | −1.62011 | − | 1.48692i | ||||
\(612\) | −8.89619 | − | 9.15396i | −0.359607 | − | 0.370027i | ||||
\(613\) | −20.9928 | − | 7.49022i | −0.847891 | − | 0.302527i | −0.123865 | − | 0.992299i | \(-0.539529\pi\) |
−0.724026 | + | 0.689772i | \(0.757711\pi\) | |||||||
\(614\) | −3.09594 | − | 9.52833i | −0.124942 | − | 0.384532i | ||||
\(615\) | 1.47371 | − | 1.70075i | 0.0594256 | − | 0.0685809i | ||||
\(616\) | −1.99196 | − | 0.672257i | −0.0802584 | − | 0.0270860i | ||||
\(617\) | 14.0127 | + | 16.1715i | 0.564128 | + | 0.651039i | 0.964116 | − | 0.265482i | \(-0.0855310\pi\) |
−0.399988 | + | 0.916521i | \(0.630986\pi\) | |||||||
\(618\) | −19.2567 | + | 31.9336i | −0.774618 | + | 1.28456i | ||||
\(619\) | −5.76538 | − | 7.47668i | −0.231730 | − | 0.300513i | 0.661651 | − | 0.749812i | \(-0.269856\pi\) |
−0.893382 | + | 0.449298i | \(0.851674\pi\) | |||||||
\(620\) | −16.0649 | + | 5.73195i | −0.645182 | + | 0.230201i | ||||
\(621\) | 24.1009 | + | 11.8496i | 0.967136 | + | 0.475509i | ||||
\(622\) | −14.6877 | + | 12.0100i | −0.588922 | + | 0.481559i | ||||
\(623\) | −0.641820 | − | 3.16751i | −0.0257140 | − | 0.126903i | ||||
\(624\) | −32.8177 | − | 1.87658i | −1.31376 | − | 0.0751235i | ||||
\(625\) | −0.736741 | + | 0.676175i | −0.0294696 | + | 0.0270470i | ||||
\(626\) | 3.02774 | + | 21.0584i | 0.121013 | + | 0.841663i | ||||
\(627\) | −20.7211 | + | 2.74015i | −0.827521 | + | 0.109431i | ||||
\(628\) | −0.966753 | + | 6.72392i | −0.0385777 | + | 0.268314i | ||||
\(629\) | 11.6618 | + | 17.0548i | 0.464985 | + | 0.680019i | ||||
\(630\) | 2.71553 | + | 6.97477i | 0.108189 | + | 0.277882i | ||||
\(631\) | −18.8015 | + | 24.3823i | −0.748477 | + | 0.970643i | 0.251519 | + | 0.967852i | \(0.419070\pi\) |
−0.999996 | + | 0.00279039i | \(0.999112\pi\) | |||||||
\(632\) | −0.434012 | + | 1.33575i | −0.0172641 | + | 0.0531334i | ||||
\(633\) | −18.4138 | − | 30.5359i | −0.731883 | − | 1.21369i | ||||
\(634\) | 2.09383 | − | 5.37796i | 0.0831566 | − | 0.213586i | ||||
\(635\) | 3.50460 | − | 0.814959i | 0.139076 | − | 0.0323407i | ||||
\(636\) | 0.249930 | + | 0.105621i | 0.00991038 | + | 0.00418816i | ||||
\(637\) | −34.6661 | − | 22.2786i | −1.37352 | − | 0.882709i | ||||
\(638\) | 16.6983 | + | 48.5294i | 0.661092 | + | 1.92130i | ||||
\(639\) | 1.85999 | − | 1.19534i | 0.0735799 | − | 0.0472869i | ||||
\(640\) | −1.31636 | + | 0.227805i | −0.0520337 | + | 0.00900478i | ||||
\(641\) | 0.737966 | + | 8.59198i | 0.0291479 | + | 0.339363i | 0.996350 | + | 0.0853566i | \(0.0272030\pi\) |
−0.967203 | + | 0.254006i | \(0.918252\pi\) | |||||||
\(642\) | −0.643111 | + | 7.48760i | −0.0253816 | + | 0.295512i | ||||
\(643\) | −34.9316 | − | 6.04514i | −1.37757 | − | 0.238397i | −0.566842 | − | 0.823826i | \(-0.691835\pi\) |
−0.810724 | + | 0.585429i | \(0.800926\pi\) | |||||||
\(644\) | 31.7694 | − | 13.4258i | 1.25189 | − | 0.529052i | ||||
\(645\) | 8.87088 | − | 6.44508i | 0.349291 | − | 0.253775i | ||||
\(646\) | 51.2665 | − | 28.9515i | 2.01705 | − | 1.13908i | ||||
\(647\) | −0.579215 | − | 20.2752i | −0.0227713 | − | 0.797099i | −0.928088 | − | 0.372362i | \(-0.878548\pi\) |
0.905316 | − | 0.424738i | \(-0.139634\pi\) | |||||||
\(648\) | 0.803958 | − | 0.236063i | 0.0315824 | − | 0.00927344i | ||||
\(649\) | −15.4764 | + | 4.83554i | −0.607500 | + | 0.189811i | ||||
\(650\) | −10.5967 | − | 3.11149i | −0.415639 | − | 0.122043i | ||||
\(651\) | −12.1491 | + | 46.2200i | −0.476161 | + | 1.81150i | ||||
\(652\) | −7.56159 | + | 37.3179i | −0.296135 | + | 1.46148i | ||||
\(653\) | 11.0355 | + | 20.9146i | 0.431852 | + | 0.818451i | 0.999990 | − | 0.00448226i | \(-0.00142675\pi\) |
−0.568138 | + | 0.822934i | \(0.692336\pi\) | |||||||
\(654\) | −0.219100 | + | 7.66949i | −0.00856748 | + | 0.299901i | ||||
\(655\) | −2.65204 | − | 10.0894i | −0.103624 | − | 0.394226i | ||||
\(656\) | 6.60745 | − | 0.377828i | 0.257978 | − | 0.0147517i | ||||
\(657\) | 2.41112 | − | 2.48098i | 0.0940666 | − | 0.0967923i | ||||
\(658\) | 65.5878 | − | 32.2474i | 2.55688 | − | 1.25713i | ||||
\(659\) | −3.11386 | + | 6.81840i | −0.121299 | + | 0.265607i | −0.960535 | − | 0.278160i | \(-0.910275\pi\) |
0.839236 | + | 0.543768i | \(0.183003\pi\) | |||||||
\(660\) | 5.36654 | − | 7.21322i | 0.208892 | − | 0.280774i | ||||
\(661\) | 16.2403 | + | 35.5614i | 0.631675 | + | 1.38318i | 0.906715 | + | 0.421743i | \(0.138582\pi\) |
−0.275040 | + | 0.961433i | \(0.588691\pi\) | |||||||
\(662\) | 0.410036 | + | 0.335285i | 0.0159365 | + | 0.0130312i | ||||
\(663\) | 24.6269 | − | 46.6731i | 0.956429 | − | 1.81263i | ||||
\(664\) | −1.22408 | − | 0.691268i | −0.0475034 | − | 0.0268264i | ||||
\(665\) | −16.7791 | + | 1.92522i | −0.650664 | + | 0.0746568i | ||||
\(666\) | −6.06301 | + | 0.695665i | −0.234937 | + | 0.0269565i | ||||
\(667\) | 32.3278 | + | 18.2563i | 1.25174 | + | 0.706888i | ||||
\(668\) | −11.7130 | + | 22.1985i | −0.453188 | + | 0.858887i | ||||
\(669\) | −13.6528 | − | 11.1639i | −0.527849 | − | 0.431620i | ||||
\(670\) | 0.241943 | + | 0.529780i | 0.00934706 | + | 0.0204672i | ||||
\(671\) | −7.06440 | + | 9.49533i | −0.272718 | + | 0.366563i | ||||
\(672\) | 17.6153 | − | 38.5722i | 0.679526 | − | 1.48795i | ||||
\(673\) | −34.2489 | + | 16.8390i | −1.32020 | + | 0.649097i | −0.959004 | − | 0.283394i | \(-0.908540\pi\) |
−0.361193 | + | 0.932491i | \(0.617631\pi\) | |||||||
\(674\) | −16.8896 | + | 17.3790i | −0.650564 | + | 0.669414i | ||||
\(675\) | 5.64762 | − | 0.322943i | 0.217377 | − | 0.0124301i | ||||
\(676\) | −8.83883 | − | 33.6264i | −0.339955 | − | 1.29332i | ||||
\(677\) | −0.271740 | + | 9.51214i | −0.0104438 | + | 0.365581i | 0.977515 | + | 0.210865i | \(0.0676281\pi\) |
−0.987959 | + | 0.154716i | \(0.950554\pi\) | |||||||
\(678\) | −20.7253 | − | 39.2788i | −0.795951 | − | 1.50849i | ||||
\(679\) | −6.38816 | + | 31.5268i | −0.245155 | + | 1.20989i | ||||
\(680\) | 0.283891 | − | 1.08004i | 0.0108867 | − | 0.0414175i | ||||
\(681\) | 31.2447 | + | 9.17428i | 1.19730 | + | 0.351559i | ||||
\(682\) | −55.7795 | + | 17.4281i | −2.13591 | + | 0.667357i | ||||
\(683\) | −26.8986 | + | 7.89813i | −1.02924 | + | 0.302214i | −0.752404 | − | 0.658702i | \(-0.771106\pi\) |
−0.276841 | + | 0.960916i | \(0.589288\pi\) | |||||||
\(684\) | 0.242953 | + | 8.50447i | 0.00928955 | + | 0.325177i | ||||
\(685\) | 4.45291 | − | 2.51467i | 0.170137 | − | 0.0960807i | ||||
\(686\) | 2.32639 | − | 1.69022i | 0.0888219 | − | 0.0645329i | ||||
\(687\) | 31.4160 | − | 13.2765i | 1.19859 | − | 0.506530i | ||||
\(688\) | 31.7747 | + | 5.49883i | 1.21140 | + | 0.209641i | ||||
\(689\) | 0.0478071 | − | 0.556608i | 0.00182131 | − | 0.0212051i | ||||
\(690\) | −1.13767 | − | 13.2457i | −0.0433104 | − | 0.504254i | ||||
\(691\) | 38.8644 | − | 6.72575i | 1.47847 | − | 0.255860i | 0.626489 | − | 0.779430i | \(-0.284491\pi\) |
0.851983 | + | 0.523570i | \(0.175400\pi\) | |||||||
\(692\) | 27.0143 | − | 17.3610i | 1.02693 | − | 0.659968i | ||||
\(693\) | 4.08176 | + | 11.8626i | 0.155053 | + | 0.450624i | ||||
\(694\) | −30.2039 | − | 19.4109i | −1.14653 | − | 0.736827i | ||||
\(695\) | −10.7723 | − | 4.55240i | −0.408616 | − | 0.172683i | ||||
\(696\) | 1.80159 | − | 0.418942i | 0.0682891 | − | 0.0158799i | ||||
\(697\) | −3.85482 | + | 9.90103i | −0.146012 | + | 0.375028i | ||||
\(698\) | 5.62288 | + | 9.32450i | 0.212829 | + | 0.352938i | ||||
\(699\) | −9.20489 | + | 28.3297i | −0.348161 | + | 1.07153i | ||||
\(700\) | 4.43617 | − | 5.75293i | 0.167671 | − | 0.217440i | ||||
\(701\) | 2.73689 | + | 7.02964i | 0.103371 | + | 0.265506i | 0.974045 | − | 0.226354i | \(-0.0726807\pi\) |
−0.870674 | + | 0.491860i | \(0.836317\pi\) | |||||||
\(702\) | 35.2635 | + | 51.5713i | 1.33094 | + | 1.94643i | ||||
\(703\) | 1.95979 | − | 13.6306i | 0.0739148 | − | 0.514089i | ||||
\(704\) | 24.0373 | − | 3.17868i | 0.905938 | − | 0.119801i | ||||
\(705\) | −1.96140 | − | 13.6418i | −0.0738705 | − | 0.513781i | ||||
\(706\) | −32.3111 | + | 29.6549i | −1.21605 | + | 1.11608i | ||||
\(707\) | 15.0384 | + | 0.859925i | 0.565576 | + | 0.0323408i | ||||
\(708\) | −2.63177 | − | 12.9883i | −0.0989080 | − | 0.488130i | ||||
\(709\) | 35.7722 | − | 29.2508i | 1.34345 | − | 1.09854i | 0.357068 | − | 0.934078i | \(-0.383776\pi\) |
0.986384 | − | 0.164457i | \(-0.0525872\pi\) | |||||||
\(710\) | −3.93649 | − | 1.93544i | −0.147734 | − | 0.0726358i | ||||
\(711\) | 7.89358 | − | 2.81642i | 0.296032 | − | 0.105624i | ||||
\(712\) | −0.0869757 | − | 0.112792i | −0.00325955 | − | 0.00422706i | ||||
\(713\) | −21.8307 | + | 36.2021i | −0.817565 | + | 1.35578i | ||||
\(714\) | 46.4664 | + | 53.6250i | 1.73896 | + | 2.00687i | ||||
\(715\) | −17.5392 | − | 5.91921i | −0.655928 | − | 0.221366i | ||||
\(716\) | 19.9129 | − | 22.9807i | 0.744179 | − | 0.858828i | ||||
\(717\) | −3.81464 | − | 11.7403i | −0.142460 | − | 0.438448i | ||||
\(718\) | 41.1997 | + | 14.7000i | 1.53756 | + | 0.548600i | ||||
\(719\) | 9.80821 | + | 10.0924i | 0.365785 | + | 0.376383i | 0.874891 | − | 0.484320i | \(-0.160933\pi\) |
−0.509106 | + | 0.860704i | \(0.670024\pi\) | |||||||
\(720\) | 3.05809 | + | 2.80669i | 0.113968 | + | 0.104599i | ||||
\(721\) | −28.5068 | + | 41.6899i | −1.06165 | + | 1.55261i | ||||
\(722\) | −1.60305 | − | 0.372772i | −0.0596592 | − | 0.0138731i | ||||
\(723\) | −7.93159 | − | 5.76264i | −0.294979 | − | 0.214315i | ||||
\(724\) | −48.8098 | − | 5.60040i | −1.81400 | − | 0.208137i | ||||
\(725\) | 7.82008 | 0.290430 | ||||||||
\(726\) | 19.3571 | − | 23.9606i | 0.718411 | − | 0.889260i | ||||
\(727\) | −6.61665 | −0.245398 | −0.122699 | − | 0.992444i | \(-0.539155\pi\) | ||||
−0.122699 | + | 0.992444i | \(0.539155\pi\) | |||||||
\(728\) | −3.51481 | − | 0.403287i | −0.130268 | − | 0.0149468i | ||||
\(729\) | −23.4742 | − | 17.0550i | −0.869416 | − | 0.631668i | ||||
\(730\) | −6.68543 | − | 1.55463i | −0.247439 | − | 0.0575395i | ||||
\(731\) | −29.2210 | + | 42.7343i | −1.08078 | + | 1.58059i | ||||
\(732\) | −7.12651 | − | 6.54065i | −0.263403 | − | 0.241750i | ||||
\(733\) | 10.5176 | + | 10.8223i | 0.388476 | + | 0.399732i | 0.882955 | − | 0.469457i | \(-0.155550\pi\) |
−0.494479 | + | 0.869189i | \(0.664641\pi\) | |||||||
\(734\) | 14.8947 | + | 5.31441i | 0.549773 | + | 0.196158i | ||||
\(735\) | −3.22869 | − | 9.93689i | −0.119092 | − | 0.366528i | ||||
\(736\) | 24.5642 | − | 28.3486i | 0.905448 | − | 1.04494i | ||||
\(737\) | 0.369793 | + | 0.903430i | 0.0136215 | + | 0.0332783i | ||||
\(738\) | −2.05523 | − | 2.37186i | −0.0756541 | − | 0.0873095i | ||||
\(739\) | −7.93147 | + | 13.1529i | −0.291764 | + | 0.483836i | −0.967350 | − | 0.253445i | \(-0.918436\pi\) |
0.675586 | + | 0.737281i | \(0.263891\pi\) | |||||||
\(740\) | 3.61709 | + | 4.69072i | 0.132967 | + | 0.172434i | ||||
\(741\) | −33.1280 | + | 11.8201i | −1.21699 | + | 0.434221i | ||||
\(742\) | 0.674091 | + | 0.331428i | 0.0247467 | + | 0.0121671i | ||||
\(743\) | −13.0988 | + | 10.7108i | −0.480547 | + | 0.392941i | −0.842024 | − | 0.539440i | \(-0.818636\pi\) |
0.361477 | + | 0.932381i | \(0.382273\pi\) | |||||||
\(744\) | 0.418262 | + | 2.06420i | 0.0153342 | + | 0.0756774i | ||||
\(745\) | 5.01418 | + | 0.286721i | 0.183705 | + | 0.0105047i | ||||
\(746\) | 29.0608 | − | 26.6718i | 1.06399 | − | 0.976523i | ||||
\(747\) | 1.19383 | + | 8.30327i | 0.0436799 | + | 0.303801i | ||||
\(748\) | −12.4192 | + | 40.5901i | −0.454092 | + | 1.48412i | ||||
\(749\) | −1.44851 | + | 10.0746i | −0.0529273 | + | 0.368117i | ||||
\(750\) | −1.58058 | − | 2.31152i | −0.0577146 | − | 0.0844050i | ||||
\(751\) | −1.22449 | − | 3.14508i | −0.0446823 | − | 0.114766i | 0.907754 | − | 0.419502i | \(-0.137795\pi\) |
−0.952437 | + | 0.304736i | \(0.901432\pi\) | |||||||
\(752\) | 24.7507 | − | 32.0972i | 0.902564 | − | 1.17047i | ||||
\(753\) | −11.3658 | + | 34.9803i | −0.414193 | + | 1.27475i | ||||
\(754\) | 44.5991 | + | 73.9593i | 1.62420 | + | 2.69344i | ||||
\(755\) | −7.04284 | + | 18.0894i | −0.256315 | + | 0.658340i | ||||
\(756\) | −40.0273 | + | 9.30795i | −1.45578 | + | 0.338527i | ||||
\(757\) | −32.1250 | − | 13.5761i | −1.16760 | − | 0.493433i | −0.282699 | − | 0.959209i | \(-0.591230\pi\) |
−0.884903 | + | 0.465776i | \(0.845775\pi\) | |||||||
\(758\) | 6.45081 | + | 4.14568i | 0.234304 | + | 0.150578i | ||||
\(759\) | −1.02013 | − | 22.2595i | −0.0370284 | − | 0.807968i | ||||
\(760\) | −0.626162 | + | 0.402410i | −0.0227133 | + | 0.0145969i | ||||
\(761\) | −13.5816 | + | 2.35039i | −0.492332 | + | 0.0852014i | −0.411281 | − | 0.911509i | \(-0.634919\pi\) |
−0.0810510 | + | 0.996710i | \(0.525828\pi\) | |||||||
\(762\) | 0.862218 | + | 10.0386i | 0.0312349 | + | 0.363661i | ||||
\(763\) | −0.889246 | + | 10.3533i | −0.0321929 | + | 0.374815i | ||||
\(764\) | −35.0409 | − | 6.06407i | −1.26774 | − | 0.219390i | ||||
\(765\) | −6.13816 | + | 2.59401i | −0.221926 | + | 0.0937866i | ||||
\(766\) | −51.6333 | + | 37.5138i | −1.86559 | + | 1.35543i | ||||
\(767\) | −23.7589 | + | 13.4173i | −0.857883 | + | 0.484469i | ||||
\(768\) | −0.697683 | − | 24.4221i | −0.0251754 | − | 0.881256i | ||||
\(769\) | 31.5396 | − | 9.26087i | 1.13735 | − | 0.333956i | 0.341756 | − | 0.939789i | \(-0.388978\pi\) |
0.795592 | + | 0.605833i | \(0.207160\pi\) | |||||||
\(770\) | 15.9726 | − | 19.0885i | 0.575614 | − | 0.687902i | ||||
\(771\) | −20.3431 | − | 5.97328i | −0.732639 | − | 0.215122i | ||||
\(772\) | 6.19563 | − | 23.5706i | 0.222986 | − | 0.848326i | ||||
\(773\) | −8.95235 | + | 44.1816i | −0.321994 | + | 1.58910i | 0.412808 | + | 0.910818i | \(0.364548\pi\) |
−0.734801 | + | 0.678282i | \(0.762725\pi\) | |||||||
\(774\) | −7.13618 | − | 13.5246i | −0.256505 | − | 0.486130i | ||||
\(775\) | −0.254277 | + | 8.90086i | −0.00913391 | + | 0.319728i | ||||
\(776\) | 0.360393 | + | 1.37108i | 0.0129374 | + | 0.0492188i | ||||
\(777\) | 16.5691 | − | 0.947453i | 0.594412 | − | 0.0339897i | ||||
\(778\) | 12.6924 | − | 13.0602i | 0.455044 | − | 0.468229i | ||||
\(779\) | 6.35517 | − | 3.12463i | 0.227698 | − | 0.111951i | ||||
\(780\) | 6.28504 | − | 13.7623i | 0.225041 | − | 0.492770i | ||||
\(781\) | −6.46337 | − | 3.50450i | −0.231278 | − | 0.125401i | ||||
\(782\) | 26.0746 | + | 57.0953i | 0.932424 | + | 2.04172i | ||||
\(783\) | −34.2457 | − | 28.0026i | −1.22384 | − | 1.00073i | ||||
\(784\) | 14.3394 | − | 27.1762i | 0.512122 | − | 0.970580i | ||||
\(785\) | 3.08793 | + | 1.74383i | 0.110213 | + | 0.0622401i | ||||
\(786\) | 29.0222 | − | 3.32998i | 1.03519 | − | 0.118777i | ||||
\(787\) | 21.0529 | − | 2.41560i | 0.750455 | − | 0.0861067i | 0.269679 | − | 0.962950i | \(-0.413082\pi\) |
0.480776 | + | 0.876843i | \(0.340355\pi\) | |||||||
\(788\) | −0.402384 | − | 0.227236i | −0.0143343 | − | 0.00809496i | ||||
\(789\) | 11.7518 | − | 22.2722i | 0.418376 | − | 0.792910i | ||||
\(790\) | −12.8723 | − | 10.5256i | −0.457976 | − | 0.374485i | ||||
\(791\) | −24.9866 | − | 54.7130i | −0.888421 | − | 1.94537i | ||||
\(792\) | 0.392099 | + | 0.389787i | 0.0139326 | + | 0.0138505i | ||||
\(793\) | −8.27349 | + | 18.1164i | −0.293800 | + | 0.643333i | ||||
\(794\) | −18.0822 | + | 8.89043i | −0.641714 | + | 0.315510i | ||||
\(795\) | 0.0987200 | − | 0.101580i | 0.00350124 | − | 0.00360269i | ||||
\(796\) | −3.24325 | + | 0.185456i | −0.114954 | + | 0.00657331i | ||||
\(797\) | 0.281547 | + | 1.07112i | 0.00997292 | + | 0.0379409i | 0.971947 | − | 0.235199i | \(-0.0755742\pi\) |
−0.961974 | + | 0.273140i | \(0.911938\pi\) | |||||||
\(798\) | 1.35052 | − | 47.2745i | 0.0478080 | − | 1.67350i | ||||
\(799\) | 30.3660 | + | 57.5501i | 1.07427 | + | 2.03597i | ||||
\(800\) | 1.56906 | − | 7.74360i | 0.0554745 | − | 0.273778i | ||||
\(801\) | −0.216067 | + | 0.822005i | −0.00763436 | + | 0.0290441i | ||||
\(802\) | 66.6582 | + | 19.5726i | 2.35378 | + | 0.691133i | ||||
\(803\) | −11.0927 | − | 3.05044i | −0.391452 | − | 0.107648i | ||||
\(804\) | −0.765539 | + | 0.224782i | −0.0269985 | + | 0.00792746i | ||||
\(805\) | −0.514161 | − | 17.9980i | −0.0181218 | − | 0.634345i | ||||
\(806\) | −85.6311 | + | 48.3581i | −3.01623 | + | 1.70334i | ||||
\(807\) | −8.12076 | + | 5.90008i | −0.285864 | + | 0.207692i | ||||
\(808\) | 0.611476 | − | 0.258412i | 0.0215117 | − | 0.00909090i | ||||
\(809\) | 9.78481 | + | 1.69333i | 0.344016 | + | 0.0595342i | 0.339912 | − | 0.940457i | \(-0.389603\pi\) |
0.00410385 | + | 0.999992i | \(0.498694\pi\) | |||||||
\(810\) | −0.848896 | + | 9.88351i | −0.0298272 | + | 0.347271i | ||||
\(811\) | −3.33138 | − | 38.7866i | −0.116981 | − | 1.36198i | −0.785765 | − | 0.618525i | \(-0.787730\pi\) |
0.668784 | − | 0.743457i | \(-0.266815\pi\) | |||||||
\(812\) | −55.9784 | + | 9.68744i | −1.96446 | + | 0.339963i | ||||
\(813\) | 30.0359 | − | 19.3029i | 1.05340 | − | 0.676982i | ||||
\(814\) | 11.7419 | + | 16.5523i | 0.411554 | + | 0.580158i | ||||
\(815\) | 16.7221 | + | 10.7467i | 0.585751 | + | 0.376439i | ||||
\(816\) | 36.2465 | + | 15.3179i | 1.26888 | + | 0.536233i | ||||
\(817\) | 33.6088 | − | 7.81539i | 1.17582 | − | 0.273426i | ||||
\(818\) | −14.4862 | + | 37.2074i | −0.506497 | + | 1.30093i | ||||
\(819\) | 10.9019 | + | 18.0787i | 0.380942 | + | 0.631722i | ||||
\(820\) | −0.941313 | + | 2.89706i | −0.0328721 | + | 0.101170i | ||||
\(821\) | 2.62520 | − | 3.40442i | 0.0916200 | − | 0.118815i | −0.743861 | − | 0.668335i | \(-0.767007\pi\) |
0.835481 | + | 0.549520i | \(0.185189\pi\) | |||||||
\(822\) | 5.19547 | + | 13.3445i | 0.181213 | + | 0.465442i | ||||
\(823\) | −18.2487 | − | 26.6879i | −0.636111 | − | 0.930283i | 0.363888 | − | 0.931443i | \(-0.381449\pi\) |
−0.999999 | + | 0.00115967i | \(0.999631\pi\) | |||||||
\(824\) | −0.316761 | + | 2.20312i | −0.0110349 | + | 0.0767493i | ||||
\(825\) | −2.49263 | − | 3.97690i | −0.0867822 | − | 0.138458i | ||||
\(826\) | −5.22122 | − | 36.3144i | −0.181670 | − | 1.26354i | ||||
\(827\) | −40.6788 | + | 37.3347i | −1.41454 | + | 1.29825i | −0.517939 | + | 0.855418i | \(0.673300\pi\) |
−0.896603 | + | 0.442836i | \(0.853972\pi\) | |||||||
\(828\) | −9.05542 | − | 0.517808i | −0.314698 | − | 0.0179951i | ||||
\(829\) | 1.08775 | + | 5.36824i | 0.0377790 | + | 0.186447i | 0.994528 | − | 0.104467i | \(-0.0333135\pi\) |
−0.956749 | + | 0.290913i | \(0.906041\pi\) | |||||||
\(830\) | 12.8841 | − | 10.5353i | 0.447213 | − | 0.365684i | ||||
\(831\) | −10.7413 | − | 5.28113i | −0.372611 | − | 0.183201i | ||||
\(832\) | 38.4298 | − | 13.7117i | 1.33231 | − | 0.475368i | ||||
\(833\) | 30.1231 | + | 39.0644i | 1.04370 | + | 1.35350i | ||||
\(834\) | 16.9110 | − | 28.0438i | 0.585581 | − | 0.971078i | ||||
\(835\) | 8.58062 | + | 9.90256i | 0.296945 | + | 0.342692i | ||||
\(836\) | 24.3919 | − | 14.3348i | 0.843610 | − | 0.495778i | ||||
\(837\) | 32.9863 | − | 38.0682i | 1.14017 | − | 1.31583i | ||||
\(838\) | 11.1020 | + | 34.1685i | 0.383513 | + | 1.18033i | ||||
\(839\) | 42.2529 | + | 15.0758i | 1.45873 | + | 0.520475i | 0.941982 | − | 0.335662i | \(-0.108960\pi\) |
0.516750 | + | 0.856137i | \(0.327142\pi\) | |||||||
\(840\) | −0.625175 | − | 0.643290i | −0.0215706 | − | 0.0221956i | ||||
\(841\) | −23.6889 | − | 21.7415i | −0.816859 | − | 0.749706i | ||||
\(842\) | −16.2775 | + | 23.8051i | −0.560959 | + | 0.820377i | ||||
\(843\) | −5.11643 | − | 1.18977i | −0.176219 | − | 0.0409780i | ||||
\(844\) | 39.0486 | + | 28.3705i | 1.34411 | + | 0.976553i | ||||
\(845\) | −18.0326 | − | 2.06905i | −0.620340 | − | 0.0711774i | ||||
\(846\) | −19.2205 | −0.660815 | ||||||||
\(847\) | 28.0262 | − | 30.9014i | 0.962991 | − | 1.06179i | ||||
\(848\) | 0.416573 | 0.0143052 | ||||||||
\(849\) | 39.8769 | + | 4.57544i | 1.36857 | + | 0.157029i | ||||
\(850\) | 10.6959 | + | 7.77106i | 0.366868 | + | 0.266545i | ||||
\(851\) | 14.2993 | + | 3.32517i | 0.490175 | + | 0.113985i | ||||
\(852\) | 3.39187 | − | 4.96045i | 0.116204 | − | 0.169942i | ||||
\(853\) | 23.0340 | + | 21.1404i | 0.788668 | + | 0.723833i | 0.965499 | − | 0.260408i | \(-0.0838571\pi\) |
−0.176830 | + | 0.984241i | \(0.556584\pi\) | |||||||
\(854\) | −18.6633 | − | 19.2041i | −0.638645 | − | 0.657150i | ||||
\(855\) | 4.18325 | + | 1.49258i | 0.143064 | + | 0.0510452i | ||||
\(856\) | 0.138613 | + | 0.426608i | 0.00473770 | + | 0.0145811i | ||||
\(857\) | −18.3955 | + | 21.2296i | −0.628379 | + | 0.725189i | −0.977276 | − | 0.211973i | \(-0.932011\pi\) |
0.348896 | + | 0.937161i | \(0.386557\pi\) | |||||||
\(858\) | 23.3962 | − | 46.2552i | 0.798732 | − | 1.57913i | ||||
\(859\) | −25.4076 | − | 29.3219i | −0.866895 | − | 1.00045i | −0.999956 | − | 0.00934232i | \(-0.997026\pi\) |
0.133061 | − | 0.991108i | \(-0.457519\pi\) | |||||||
\(860\) | −7.66447 | + | 12.7101i | −0.261356 | + | 0.433411i | ||||
\(861\) | 5.21172 | + | 6.75867i | 0.177615 | + | 0.230335i | ||||
\(862\) | −6.95700 | + | 2.48225i | −0.236956 | + | 0.0845458i | ||||
\(863\) | 37.8225 | + | 18.5961i | 1.28749 | + | 0.633017i | 0.951152 | − | 0.308724i | \(-0.0999018\pi\) |
0.336340 | + | 0.941741i | \(0.390811\pi\) | |||||||
\(864\) | −34.5999 | + | 28.2922i | −1.17711 | + | 0.962521i | ||||
\(865\) | −3.32917 | − | 16.4301i | −0.113195 | − | 0.558640i | ||||
\(866\) | −33.0460 | − | 1.88964i | −1.12295 | − | 0.0642126i | ||||
\(867\) | −28.8181 | + | 26.4491i | −0.978716 | + | 0.898257i | ||||
\(868\) | −9.20612 | − | 64.0300i | −0.312476 | − | 2.17332i | ||||
\(869\) | −20.8547 | − | 18.4883i | −0.707448 | − | 0.627172i | ||||
\(870\) | −3.11643 | + | 21.6753i | −0.105657 | + | 0.734860i | ||||
\(871\) | 0.927236 | + | 1.35604i | 0.0314182 | + | 0.0459476i | ||||
\(872\) | 0.166151 | + | 0.426756i | 0.00562659 | + | 0.0144518i | ||||
\(873\) | 5.16577 | − | 6.69909i | 0.174835 | − | 0.226730i | ||||
\(874\) | 12.9280 | − | 39.7883i | 0.437296 | − | 1.34586i | ||||
\(875\) | −1.95845 | − | 3.24772i | −0.0662075 | − | 0.109793i | ||||
\(876\) | 3.41143 | − | 8.76220i | 0.115262 | − | 0.296047i | ||||
\(877\) | 16.2317 | − | 3.77452i | 0.548106 | − | 0.127457i | 0.0567066 | − | 0.998391i | \(-0.481940\pi\) |
0.491400 | + | 0.870934i | \(0.336485\pi\) | |||||||
\(878\) | −40.0438 | − | 16.9227i | −1.35141 | − | 0.571112i | ||||
\(879\) | −22.8987 | − | 14.7161i | −0.772355 | − | 0.496363i | ||||
\(880\) | 3.27839 | − | 13.4081i | 0.110514 | − | 0.451989i | ||||
\(881\) | 4.29292 | − | 2.75889i | 0.144632 | − | 0.0929494i | −0.466323 | − | 0.884614i | \(-0.654422\pi\) |
0.610956 | + | 0.791665i | \(0.290785\pi\) | |||||||
\(882\) | −14.3577 | + | 2.48470i | −0.483450 | + | 0.0836643i | ||||
\(883\) | 2.04926 | + | 23.8591i | 0.0689630 | + | 0.802921i | 0.946351 | + | 0.323140i | \(0.104738\pi\) |
−0.877388 | + | 0.479781i | \(0.840716\pi\) | |||||||
\(884\) | −6.11277 | + | 71.1697i | −0.205595 | + | 2.39369i | ||||
\(885\) | −6.81698 | − | 1.17972i | −0.229150 | − | 0.0396560i | ||||
\(886\) | −37.4273 | + | 15.8169i | −1.25739 | + | 0.531379i | ||||
\(887\) | 30.2831 | − | 22.0020i | 1.01681 | − | 0.738754i | 0.0511816 | − | 0.998689i | \(-0.483701\pi\) |
0.965626 | + | 0.259935i | \(0.0837013\pi\) | |||||||
\(888\) | 0.636869 | − | 0.359657i | 0.0213719 | − | 0.0120693i | ||||
\(889\) | 0.389672 | + | 13.6403i | 0.0130692 | + | 0.457481i | ||||
\(890\) | 1.61795 | − | 0.475073i | 0.0542338 | − | 0.0159245i | ||||
\(891\) | −2.08222 | + | 16.4959i | −0.0697570 | + | 0.552633i | ||||
\(892\) | 22.9052 | + | 6.72556i | 0.766922 | + | 0.225188i | ||||
\(893\) | 11.0256 | − | 41.9457i | 0.368958 | − | 1.40366i | ||||
\(894\) | −2.79295 | + | 13.7838i | −0.0934103 | + | 0.460998i | ||||
\(895\) | −7.40802 | − | 14.0398i | −0.247623 | − | 0.469298i | ||||
\(896\) | 0.144680 | − | 5.06445i | 0.00483341 | − | 0.169191i | ||||
\(897\) | −9.53271 | − | 36.2662i | −0.318288 | − | 1.21089i | ||||
\(898\) | 2.58976 | − | 0.148088i | 0.0864216 | − | 0.00494176i | ||||
\(899\) | 48.5304 | − | 49.9367i | 1.61858 | − | 1.66548i | ||||
\(900\) | −1.71447 | + | 0.842948i | −0.0571490 | + | 0.0280983i | ||||
\(901\) | −0.277817 | + | 0.608334i | −0.00925542 | + | 0.0202665i | ||||
\(902\) | −3.61824 | + | 9.78919i | −0.120474 | + | 0.325944i | ||||
\(903\) | 17.2750 | + | 37.8270i | 0.574877 | + | 1.25881i | ||||
\(904\) | −2.05209 | − | 1.67799i | −0.0682516 | − | 0.0558091i | ||||
\(905\) | −11.9692 | + | 22.6841i | −0.397869 | + | 0.754046i | ||||
\(906\) | −47.3325 | − | 26.7299i | −1.57252 | − | 0.888041i | ||||
\(907\) | −38.2470 | + | 4.38843i | −1.26997 | + | 0.145716i | −0.722654 | − | 0.691210i | \(-0.757078\pi\) |
−0.547317 | + | 0.836926i | \(0.684351\pi\) | |||||||
\(908\) | −43.7909 | + | 5.02454i | −1.45325 | + | 0.166745i | ||||
\(909\) | −3.44928 | − | 1.94790i | −0.114405 | − | 0.0646077i | ||||
\(910\) | 19.5463 | − | 37.0444i | 0.647955 | − | 1.22801i | ||||
\(911\) | −9.63961 | − | 7.88227i | −0.319375 | − | 0.261151i | 0.459711 | − | 0.888068i | \(-0.347953\pi\) |
−0.779086 | + | 0.626917i | \(0.784317\pi\) | |||||||
\(912\) | −10.8954 | − | 23.8577i | −0.360784 | − | 0.790006i | ||||
\(913\) | 22.2820 | − | 16.7831i | 0.737425 | − | 0.555440i | ||||
\(914\) | −28.4155 | + | 62.2212i | −0.939900 | + | 2.05809i | ||||
\(915\) | −4.53166 | + | 2.22807i | −0.149812 | + | 0.0736577i | ||||
\(916\) | −32.1748 | + | 33.1071i | −1.06308 | + | 1.09389i | ||||
\(917\) | 39.4996 | − | 2.25867i | 1.30439 | − | 0.0745878i | ||||
\(918\) | −19.0127 | − | 72.3317i | −0.627511 | − | 2.38730i | ||||
\(919\) | 0.866877 | − | 30.3447i | 0.0285956 | − | 1.00098i | −0.850974 | − | 0.525208i | \(-0.823988\pi\) |
0.879570 | − | 0.475770i | \(-0.157831\pi\) | |||||||
\(920\) | −0.370306 | − | 0.701807i | −0.0122086 | − | 0.0231379i | ||||
\(921\) | 1.42290 | − | 7.02228i | 0.0468861 | − | 0.231392i | ||||
\(922\) | 12.2370 | − | 46.5545i | 0.403005 | − | 1.53319i | ||||
\(923\) | −11.8715 | − | 3.48578i | −0.390755 | − | 0.114736i | ||||
\(924\) | 22.7695 | + | 25.3800i | 0.749063 | + | 0.834941i | ||||
\(925\) | 2.96702 | − | 0.871195i | 0.0975549 | − | 0.0286447i | ||||
\(926\) | −0.456806 | − | 15.9903i | −0.0150116 | − | 0.525474i | ||||
\(927\) | 11.5650 | − | 6.53108i | 0.379846 | − | 0.214509i | ||||
\(928\) | −49.9861 | + | 36.3170i | −1.64087 | + | 1.19216i | ||||
\(929\) | −7.32716 | + | 3.09648i | −0.240396 | + | 0.101592i | −0.506140 | − | 0.862451i | \(-0.668928\pi\) |
0.265744 | + | 0.964044i | \(0.414383\pi\) | |||||||
\(930\) | −24.5696 | − | 4.25193i | −0.805668 | − | 0.139426i | ||||
\(931\) | 2.81365 | − | 32.7588i | 0.0922138 | − | 1.07363i | ||||
\(932\) | −3.45042 | − | 40.1725i | −0.113022 | − | 1.31590i | ||||
\(933\) | −13.3700 | + | 2.31376i | −0.437713 | + | 0.0757491i | ||||
\(934\) | −12.7574 | + | 8.19871i | −0.417436 | + | 0.268270i | ||||
\(935\) | 17.3939 | + | 13.7295i | 0.568842 | + | 0.449004i | ||||
\(936\) | 0.782702 | + | 0.503012i | 0.0255834 | + | 0.0164415i | ||||
\(937\) | −48.8262 | − | 20.6341i | −1.59508 | − | 0.674088i | −0.602778 | − | 0.797909i | \(-0.705940\pi\) |
−0.992305 | + | 0.123821i | \(0.960485\pi\) | |||||||
\(938\) | −2.15140 | + | 0.500288i | −0.0702458 | + | 0.0163350i | ||||
\(939\) | −5.52014 | + | 14.1784i | −0.180143 | + | 0.462694i | ||||
\(940\) | 9.63360 | + | 15.9755i | 0.314213 | + | 0.521065i | ||||
\(941\) | −8.28171 | + | 25.4885i | −0.269976 | + | 0.830901i | 0.720529 | + | 0.693425i | \(0.243899\pi\) |
−0.990505 | + | 0.137476i | \(0.956101\pi\) | |||||||
\(942\) | −6.06405 | + | 7.86400i | −0.197577 | + | 0.256223i | ||||
\(943\) | 2.73912 | + | 7.03538i | 0.0891981 | + | 0.229104i | ||||
\(944\) | −11.4842 | − | 16.7951i | −0.373779 | − | 0.546634i | ||||
\(945\) | −3.05318 | + | 21.2353i | −0.0993199 | + | 0.690785i | ||||
\(946\) | −27.9748 | + | 42.4646i | −0.909539 | + | 1.38064i | ||||
\(947\) | 8.32965 | + | 57.9340i | 0.270677 | + | 1.88260i | 0.441442 | + | 0.897290i | \(0.354467\pi\) |
−0.170764 | + | 0.985312i | \(0.554624\pi\) | |||||||
\(948\) | 16.7821 | − | 15.4025i | 0.545057 | − | 0.500248i | ||||
\(949\) | −19.3284 | − | 1.10524i | −0.627427 | − | 0.0358776i | ||||
\(950\) | −1.74998 | − | 8.63651i | −0.0567770 | − | 0.280206i | ||||
\(951\) | 3.19514 | − | 2.61266i | 0.103610 | − | 0.0847212i | ||||
\(952\) | 3.80065 | + | 1.86866i | 0.123180 | + | 0.0605635i | ||||
\(953\) | −4.36359 | + | 1.55693i | −0.141350 | + | 0.0504338i | −0.405777 | − | 0.913972i | \(-0.632999\pi\) |
0.264427 | + | 0.964406i | \(0.414817\pi\) | |||||||
\(954\) | −0.120629 | − | 0.156434i | −0.00390550 | − | 0.00506475i | ||||
\(955\) | −9.58688 | + | 15.8981i | −0.310224 | + | 0.514449i | ||||
\(956\) | 10.9423 | + | 12.6281i | 0.353900 | + | 0.408422i | ||||
\(957\) | −6.66787 | + | 36.0928i | −0.215542 | + | 1.16671i | ||||
\(958\) | 16.3287 | − | 18.8443i | 0.527555 | − | 0.608831i | ||||
\(959\) | 5.99325 | + | 18.4453i | 0.193532 | + | 0.595630i | ||||
\(960\) | 9.74391 | + | 3.47662i | 0.314483 | + | 0.112207i | ||||
\(961\) | 33.6551 | + | 34.6303i | 1.08565 | + | 1.11711i | ||||
\(962\) | 25.1608 | + | 23.0924i | 0.811216 | + | 0.744527i | ||||
\(963\) | 1.51084 | − | 2.20953i | 0.0486860 | − | 0.0712010i | ||||
\(964\) | 12.9258 | + | 3.00576i | 0.416311 | + | 0.0968089i | ||||
\(965\) | −10.2931 | − | 7.47838i | −0.331347 | − | 0.240738i | ||||
\(966\) | 50.0907 | + | 5.74737i | 1.61164 | + | 0.184919i | ||||
\(967\) | −36.6261 | −1.17781 | −0.588907 | − | 0.808201i | \(-0.700442\pi\) | ||||
−0.588907 | + | 0.808201i | \(0.700442\pi\) | |||||||
\(968\) | 0.507534 | − | 1.76710i | 0.0163128 | − | 0.0567966i | ||||
\(969\) | 42.1063 | 1.35265 | ||||||||
\(970\) | −16.6742 | − | 1.91319i | −0.535377 | − | 0.0614288i | ||||
\(971\) | 29.3609 | + | 21.3320i | 0.942237 | + | 0.684575i | 0.948958 | − | 0.315402i | \(-0.102139\pi\) |
−0.00672118 | + | 0.999977i | \(0.502139\pi\) | |||||||
\(972\) | 18.4265 | + | 4.28491i | 0.591032 | + | 0.137439i | ||||
\(973\) | 25.0344 | − | 36.6117i | 0.802567 | − | 1.17372i | ||||
\(974\) | −33.5595 | − | 30.8006i | −1.07532 | − | 0.986916i | ||||
\(975\) | −5.50465 | − | 5.66415i | −0.176290 | − | 0.181398i | ||||
\(976\) | −13.9872 | − | 4.99063i | −0.447720 | − | 0.159746i | ||||
\(977\) | −13.2926 | − | 40.9103i | −0.425267 | − | 1.30884i | −0.902738 | − | 0.430190i | \(-0.858446\pi\) |
0.477471 | − | 0.878647i | \(-0.341554\pi\) | |||||||
\(978\) | −36.4511 | + | 42.0668i | −1.16558 | + | 1.34515i | ||||
\(979\) | 2.74144 | − | 0.687510i | 0.0876169 | − | 0.0219729i | ||||
\(980\) | 9.26152 | + | 10.6884i | 0.295848 | + | 0.341427i | ||||
\(981\) | 1.41119 | − | 2.34020i | 0.0450559 | − | 0.0747168i | ||||
\(982\) | −25.9291 | − | 33.6255i | −0.827432 | − | 1.07303i | ||||
\(983\) | 12.0858 | − | 4.31221i | 0.385478 | − | 0.137538i | −0.136199 | − | 0.990682i | \(-0.543489\pi\) |
0.521677 | + | 0.853143i | \(0.325307\pi\) | |||||||
\(984\) | 0.337542 | + | 0.165958i | 0.0107604 | + | 0.00529055i | ||||
\(985\) | −0.186758 | + | 0.152711i | −0.00595061 | + | 0.00486579i | ||||
\(986\) | −20.5320 | − | 101.329i | −0.653872 | − | 3.22698i | ||||
\(987\) | 52.1836 | + | 2.98397i | 1.66102 | + | 0.0949807i | ||||
\(988\) | 35.0768 | − | 32.1932i | 1.11594 | − | 1.02420i | ||||
\(989\) | 5.23519 | + | 36.4115i | 0.166469 | + | 1.15782i | ||||
\(990\) | −5.98445 | + | 2.65153i | −0.190198 | + | 0.0842712i | ||||
\(991\) | 5.68456 | − | 39.5370i | 0.180576 | − | 1.25593i | −0.674829 | − | 0.737974i | \(-0.735783\pi\) |
0.855405 | − | 0.517960i | \(-0.173308\pi\) | |||||||
\(992\) | −39.7109 | − | 58.0753i | −1.26082 | − | 1.84389i | ||||
\(993\) | 0.137431 | + | 0.352987i | 0.00436123 | + | 0.0112017i | ||||
\(994\) | 10.1588 | − | 13.1742i | 0.322217 | − | 0.417859i | ||||
\(995\) | −0.524062 | + | 1.61290i | −0.0166139 | + | 0.0511322i | ||||
\(996\) | 11.7737 | + | 19.5245i | 0.373063 | + | 0.618656i | ||||
\(997\) | −4.05092 | + | 10.4047i | −0.128294 | + | 0.329520i | −0.981330 | − | 0.192332i | \(-0.938395\pi\) |
0.853036 | + | 0.521852i | \(0.174759\pi\) | |||||||
\(998\) | 17.3759 | − | 4.04059i | 0.550024 | − | 0.127903i | ||||
\(999\) | −16.1128 | − | 6.80933i | −0.509786 | − | 0.215438i |
(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 | 605.2.s.a.16.5 | ✓ | 880 | |
121.53 | even | 55 | inner | 605.2.s.a.416.5 | yes | 880 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.s.a.16.5 | ✓ | 880 | 1.1 | even | 1 | trivial | |
605.2.s.a.416.5 | yes | 880 | 121.53 | even | 55 | inner |