Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(6,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.g (of order \(11\), degree \(10\), 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: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 31.5 | ||
Character | \(\chi\) | \(=\) | 115.31 |
Dual form | 115.2.g.c.26.5 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.395474 | − | 2.75058i | 0.279642 | − | 1.94495i | −0.0446667 | − | 0.999002i | \(-0.514223\pi\) |
0.324309 | − | 0.945951i | \(-0.394868\pi\) | |||||||
\(3\) | 0.0237855 | + | 0.0520830i | 0.0137326 | + | 0.0300701i | 0.916374 | − | 0.400323i | \(-0.131102\pi\) |
−0.902641 | + | 0.430393i | \(0.858375\pi\) | |||||||
\(4\) | −5.49030 | − | 1.61210i | −2.74515 | − | 0.806049i | ||||
\(5\) | −0.654861 | − | 0.755750i | −0.292863 | − | 0.337981i | ||||
\(6\) | 0.152665 | − | 0.0448264i | 0.0623252 | − | 0.0183003i | ||||
\(7\) | 1.15709 | + | 0.743614i | 0.437337 | + | 0.281060i | 0.740726 | − | 0.671807i | \(-0.234482\pi\) |
−0.303389 | + | 0.952867i | \(0.598118\pi\) | |||||||
\(8\) | −4.29671 | + | 9.40848i | −1.51912 | + | 3.32640i | ||||
\(9\) | 1.96244 | − | 2.26477i | 0.654145 | − | 0.754924i | ||||
\(10\) | −2.33773 | + | 1.50237i | −0.739255 | + | 0.475090i | ||||
\(11\) | −0.191163 | − | 1.32957i | −0.0576378 | − | 0.400880i | −0.998133 | − | 0.0610736i | \(-0.980548\pi\) |
0.940495 | − | 0.339806i | \(-0.110362\pi\) | |||||||
\(12\) | −0.0466267 | − | 0.324296i | −0.0134600 | − | 0.0936161i | ||||
\(13\) | 3.77568 | − | 2.42648i | 1.04719 | − | 0.672985i | 0.100432 | − | 0.994944i | \(-0.467978\pi\) |
0.946754 | + | 0.321959i | \(0.104341\pi\) | |||||||
\(14\) | 2.50297 | − | 2.88858i | 0.668946 | − | 0.772005i | ||||
\(15\) | 0.0237855 | − | 0.0520830i | 0.00614139 | − | 0.0134478i | ||||
\(16\) | 14.5521 | + | 9.35205i | 3.63802 | + | 2.33801i | ||||
\(17\) | −4.59136 | + | 1.34814i | −1.11357 | + | 0.326973i | −0.786230 | − | 0.617934i | \(-0.787970\pi\) |
−0.327338 | + | 0.944907i | \(0.606152\pi\) | |||||||
\(18\) | −5.45334 | − | 6.29349i | −1.28536 | − | 1.48339i | ||||
\(19\) | 4.28580 | + | 1.25843i | 0.983231 | + | 0.288703i | 0.733557 | − | 0.679628i | \(-0.237859\pi\) |
0.249673 | + | 0.968330i | \(0.419677\pi\) | |||||||
\(20\) | 2.37704 | + | 5.20499i | 0.531522 | + | 1.16387i | ||||
\(21\) | −0.0112078 | + | 0.0779517i | −0.00244573 | + | 0.0170105i | ||||
\(22\) | −3.73268 | −0.795811 | ||||||||
\(23\) | −1.09795 | + | 4.66846i | −0.228939 | + | 0.973441i | ||||
\(24\) | −0.592221 | −0.120887 | ||||||||
\(25\) | −0.142315 | + | 0.989821i | −0.0284630 | + | 0.197964i | ||||
\(26\) | −5.18105 | − | 11.3449i | −1.01609 | − | 2.22492i | ||||
\(27\) | 0.329447 | + | 0.0967344i | 0.0634021 | + | 0.0186165i | ||||
\(28\) | −5.15397 | − | 5.94800i | −0.974009 | − | 1.12407i | ||||
\(29\) | 0.946733 | − | 0.277986i | 0.175804 | − | 0.0516207i | −0.192646 | − | 0.981268i | \(-0.561707\pi\) |
0.368450 | + | 0.929648i | \(0.379889\pi\) | |||||||
\(30\) | −0.133852 | − | 0.0860213i | −0.0244379 | − | 0.0157053i | ||||
\(31\) | 0.902580 | − | 1.97638i | 0.162108 | − | 0.354968i | −0.811095 | − | 0.584915i | \(-0.801128\pi\) |
0.973203 | + | 0.229947i | \(0.0738553\pi\) | |||||||
\(32\) | 17.9319 | − | 20.6945i | 3.16993 | − | 3.65830i | ||||
\(33\) | 0.0647009 | − | 0.0415808i | 0.0112630 | − | 0.00723828i | ||||
\(34\) | 1.89242 | + | 13.1621i | 0.324547 | + | 2.25727i | ||||
\(35\) | −0.195744 | − | 1.36143i | −0.0330868 | − | 0.230124i | ||||
\(36\) | −14.4254 | + | 9.27064i | −2.40423 | + | 1.54511i | ||||
\(37\) | −2.99668 | + | 3.45835i | −0.492651 | + | 0.568549i | −0.946572 | − | 0.322493i | \(-0.895479\pi\) |
0.453921 | + | 0.891042i | \(0.350025\pi\) | |||||||
\(38\) | 5.15632 | − | 11.2908i | 0.836466 | − | 1.83160i | ||||
\(39\) | 0.216185 | + | 0.138934i | 0.0346173 | + | 0.0222472i | ||||
\(40\) | 9.92420 | − | 2.91401i | 1.56915 | − | 0.460745i | ||||
\(41\) | 1.68289 | + | 1.94216i | 0.262824 | + | 0.303315i | 0.871788 | − | 0.489882i | \(-0.162960\pi\) |
−0.608965 | + | 0.793197i | \(0.708415\pi\) | |||||||
\(42\) | 0.209980 | + | 0.0616557i | 0.0324006 | + | 0.00951367i | ||||
\(43\) | 3.33639 | + | 7.30568i | 0.508795 | + | 1.11411i | 0.973510 | + | 0.228645i | \(0.0734295\pi\) |
−0.464715 | + | 0.885460i | \(0.653843\pi\) | |||||||
\(44\) | −1.09385 | + | 7.60790i | −0.164904 | + | 1.14693i | ||||
\(45\) | −2.99672 | −0.446725 | ||||||||
\(46\) | 12.4068 | + | 4.86625i | 1.82928 | + | 0.717490i | ||||
\(47\) | −3.65973 | −0.533826 | −0.266913 | − | 0.963721i | \(-0.586004\pi\) | ||||
−0.266913 | + | 0.963721i | \(0.586004\pi\) | |||||||
\(48\) | −0.140954 | + | 0.980359i | −0.0203450 | + | 0.141503i | ||||
\(49\) | −2.12202 | − | 4.64657i | −0.303146 | − | 0.663796i | ||||
\(50\) | 2.66630 | + | 0.782896i | 0.377072 | + | 0.110718i | ||||
\(51\) | −0.179423 | − | 0.207065i | −0.0251243 | − | 0.0289949i | ||||
\(52\) | −24.6414 | + | 7.23536i | −3.41714 | + | 1.00336i | ||||
\(53\) | 0.752147 | + | 0.483375i | 0.103315 | + | 0.0663967i | 0.591278 | − | 0.806468i | \(-0.298624\pi\) |
−0.487963 | + | 0.872864i | \(0.662260\pi\) | |||||||
\(54\) | 0.396363 | − | 0.867914i | 0.0539382 | − | 0.118108i | ||||
\(55\) | −0.879635 | + | 1.01515i | −0.118610 | + | 0.136883i | ||||
\(56\) | −11.9679 | + | 7.69133i | −1.59928 | + | 1.02780i | ||||
\(57\) | 0.0363974 | + | 0.253150i | 0.00482095 | + | 0.0335305i | ||||
\(58\) | −0.390214 | − | 2.71400i | −0.0512376 | − | 0.356366i | ||||
\(59\) | 2.03565 | − | 1.30824i | 0.265020 | − | 0.170318i | −0.401382 | − | 0.915911i | \(-0.631470\pi\) |
0.666402 | + | 0.745593i | \(0.267834\pi\) | |||||||
\(60\) | −0.214552 | + | 0.247607i | −0.0276986 | + | 0.0319659i | ||||
\(61\) | −3.37105 | + | 7.38156i | −0.431618 | + | 0.945113i | 0.561443 | + | 0.827515i | \(0.310246\pi\) |
−0.993061 | + | 0.117597i | \(0.962481\pi\) | |||||||
\(62\) | −5.07923 | − | 3.26422i | −0.645063 | − | 0.414557i | ||||
\(63\) | 3.95482 | − | 1.16124i | 0.498261 | − | 0.146303i | ||||
\(64\) | −27.1745 | − | 31.3611i | −3.39681 | − | 3.92013i | ||||
\(65\) | −4.30636 | − | 1.26446i | −0.534138 | − | 0.156837i | ||||
\(66\) | −0.0887837 | − | 0.194409i | −0.0109285 | − | 0.0239301i | ||||
\(67\) | −1.68495 | + | 11.7191i | −0.205849 | + | 1.43171i | 0.580667 | + | 0.814142i | \(0.302792\pi\) |
−0.786516 | + | 0.617570i | \(0.788117\pi\) | |||||||
\(68\) | 27.3813 | 3.32047 | ||||||||
\(69\) | −0.269262 | + | 0.0538571i | −0.0324154 | + | 0.00648363i | ||||
\(70\) | −3.82214 | −0.456833 | ||||||||
\(71\) | −1.07551 | + | 7.48031i | −0.127639 | + | 0.887750i | 0.820896 | + | 0.571078i | \(0.193474\pi\) |
−0.948535 | + | 0.316672i | \(0.897435\pi\) | |||||||
\(72\) | 12.8760 | + | 28.1946i | 1.51746 | + | 3.32276i | ||||
\(73\) | −8.00567 | − | 2.35068i | −0.936993 | − | 0.275126i | −0.222631 | − | 0.974903i | \(-0.571465\pi\) |
−0.714362 | + | 0.699777i | \(0.753283\pi\) | |||||||
\(74\) | 8.32736 | + | 9.61028i | 0.968036 | + | 1.11717i | ||||
\(75\) | −0.0549379 | + | 0.0161312i | −0.00634368 | + | 0.00186267i | ||||
\(76\) | −21.5016 | − | 13.8183i | −2.46641 | − | 1.58506i | ||||
\(77\) | 0.767493 | − | 1.68058i | 0.0874640 | − | 0.191519i | ||||
\(78\) | 0.467643 | − | 0.539689i | 0.0529502 | − | 0.0611077i | ||||
\(79\) | 11.4753 | − | 7.37474i | 1.29107 | − | 0.829723i | 0.298864 | − | 0.954296i | \(-0.403392\pi\) |
0.992211 | + | 0.124572i | \(0.0397558\pi\) | |||||||
\(80\) | −2.46178 | − | 17.1220i | −0.275235 | − | 1.91430i | ||||
\(81\) | −1.27664 | − | 8.87920i | −0.141848 | − | 0.986578i | ||||
\(82\) | 6.00761 | − | 3.86086i | 0.663430 | − | 0.426361i | ||||
\(83\) | 2.84808 | − | 3.28686i | 0.312617 | − | 0.360780i | −0.577597 | − | 0.816322i | \(-0.696009\pi\) |
0.890214 | + | 0.455543i | \(0.150555\pi\) | |||||||
\(84\) | 0.187200 | − | 0.409910i | 0.0204252 | − | 0.0447249i | ||||
\(85\) | 4.02556 | + | 2.58707i | 0.436633 | + | 0.280607i | ||||
\(86\) | 21.4143 | − | 6.28780i | 2.30916 | − | 0.678031i | ||||
\(87\) | 0.0369968 | + | 0.0426966i | 0.00396648 | + | 0.00457756i | ||||
\(88\) | 13.3306 | + | 3.91421i | 1.42104 | + | 0.417256i | ||||
\(89\) | −6.62960 | − | 14.5168i | −0.702736 | − | 1.53878i | −0.836623 | − | 0.547780i | \(-0.815473\pi\) |
0.133887 | − | 0.990997i | \(-0.457254\pi\) | |||||||
\(90\) | −1.18512 | + | 8.24272i | −0.124923 | + | 0.868859i | ||||
\(91\) | 6.17316 | 0.647123 | ||||||||
\(92\) | 13.5541 | − | 23.8612i | 1.41311 | − | 2.48771i | ||||
\(93\) | 0.124404 | 0.0129001 | ||||||||
\(94\) | −1.44733 | + | 10.0664i | −0.149280 | + | 1.03827i | ||||
\(95\) | −1.85555 | − | 4.06309i | −0.190375 | − | 0.416864i | ||||
\(96\) | 1.50435 | + | 0.441716i | 0.153537 | + | 0.0450825i | ||||
\(97\) | −11.2852 | − | 13.0238i | −1.14583 | − | 1.32236i | −0.938972 | − | 0.343994i | \(-0.888220\pi\) |
−0.206863 | − | 0.978370i | \(-0.566325\pi\) | |||||||
\(98\) | −13.6200 | + | 3.99918i | −1.37582 | + | 0.403979i | ||||
\(99\) | −3.38631 | − | 2.17625i | −0.340337 | − | 0.218721i | ||||
\(100\) | 2.37704 | − | 5.20499i | 0.237704 | − | 0.520499i | ||||
\(101\) | −6.19001 | + | 7.14365i | −0.615929 | + | 0.710820i | −0.974929 | − | 0.222518i | \(-0.928572\pi\) |
0.359000 | + | 0.933338i | \(0.383118\pi\) | |||||||
\(102\) | −0.640507 | + | 0.411629i | −0.0634196 | + | 0.0407573i | ||||
\(103\) | 1.26746 | + | 8.81535i | 0.124886 | + | 0.868602i | 0.951897 | + | 0.306417i | \(0.0991301\pi\) |
−0.827011 | + | 0.562185i | \(0.809961\pi\) | |||||||
\(104\) | 6.60651 | + | 45.9493i | 0.647822 | + | 4.50570i | ||||
\(105\) | 0.0662515 | − | 0.0425772i | 0.00646548 | − | 0.00415511i | ||||
\(106\) | 1.62702 | − | 1.87768i | 0.158030 | − | 0.182376i | ||||
\(107\) | −2.62099 | + | 5.73916i | −0.253380 | + | 0.554826i | −0.992988 | − | 0.118212i | \(-0.962284\pi\) |
0.739608 | + | 0.673038i | \(0.235011\pi\) | |||||||
\(108\) | −1.65282 | − | 1.06220i | −0.159042 | − | 0.102210i | ||||
\(109\) | −0.904128 | + | 0.265476i | −0.0865998 | + | 0.0254280i | −0.324745 | − | 0.945801i | \(-0.605279\pi\) |
0.238146 | + | 0.971229i | \(0.423460\pi\) | |||||||
\(110\) | 2.44439 | + | 2.82097i | 0.233063 | + | 0.268969i | ||||
\(111\) | −0.251399 | − | 0.0738173i | −0.0238617 | − | 0.00700642i | ||||
\(112\) | 9.88369 | + | 21.6423i | 0.933921 | + | 2.04500i | ||||
\(113\) | 1.27711 | − | 8.88246i | 0.120140 | − | 0.835592i | −0.837255 | − | 0.546812i | \(-0.815841\pi\) |
0.957395 | − | 0.288780i | \(-0.0932496\pi\) | |||||||
\(114\) | 0.710702 | 0.0665633 | ||||||||
\(115\) | 4.24719 | − | 2.22741i | 0.396053 | − | 0.207707i | ||||
\(116\) | −5.64599 | −0.524217 | ||||||||
\(117\) | 1.91410 | − | 13.3129i | 0.176959 | − | 1.23078i | ||||
\(118\) | −2.79336 | − | 6.11660i | −0.257149 | − | 0.563079i | ||||
\(119\) | −6.31510 | − | 1.85428i | −0.578904 | − | 0.169982i | ||||
\(120\) | 0.387822 | + | 0.447570i | 0.0354031 | + | 0.0408574i | ||||
\(121\) | 8.82321 | − | 2.59073i | 0.802110 | − | 0.235521i | ||||
\(122\) | 18.9704 | + | 12.1915i | 1.71750 | + | 1.10377i | ||||
\(123\) | −0.0611251 | + | 0.133845i | −0.00551147 | + | 0.0120684i | ||||
\(124\) | −8.14155 | + | 9.39585i | −0.731133 | + | 0.843772i | ||||
\(125\) | 0.841254 | − | 0.540641i | 0.0752440 | − | 0.0483564i | ||||
\(126\) | −1.63006 | − | 11.3373i | −0.145217 | − | 1.01001i | ||||
\(127\) | −0.343569 | − | 2.38958i | −0.0304868 | − | 0.212041i | 0.968884 | − | 0.247516i | \(-0.0796144\pi\) |
−0.999371 | + | 0.0354758i | \(0.988705\pi\) | |||||||
\(128\) | −50.9363 | + | 32.7348i | −4.50217 | + | 2.89337i | ||||
\(129\) | −0.301144 | + | 0.347538i | −0.0265142 | + | 0.0305990i | ||||
\(130\) | −5.18105 | + | 11.3449i | −0.454408 | + | 0.995015i | ||||
\(131\) | −9.24697 | − | 5.94266i | −0.807911 | − | 0.519213i | 0.0702774 | − | 0.997527i | \(-0.477612\pi\) |
−0.878189 | + | 0.478315i | \(0.841248\pi\) | |||||||
\(132\) | −0.422260 | + | 0.123987i | −0.0367530 | + | 0.0107917i | ||||
\(133\) | 4.02326 | + | 4.64309i | 0.348861 | + | 0.402607i | ||||
\(134\) | 31.5679 | + | 9.26916i | 2.72705 | + | 0.800734i | ||||
\(135\) | −0.142635 | − | 0.312327i | −0.0122761 | − | 0.0268808i | ||||
\(136\) | 7.04374 | − | 48.9903i | 0.603996 | − | 4.20088i | ||||
\(137\) | 1.43118 | 0.122274 | 0.0611371 | − | 0.998129i | \(-0.480527\pi\) | ||||
0.0611371 | + | 0.998129i | \(0.480527\pi\) | |||||||
\(138\) | 0.0416519 | + | 0.761927i | 0.00354565 | + | 0.0648595i | ||||
\(139\) | −1.70367 | −0.144503 | −0.0722517 | − | 0.997386i | \(-0.523018\pi\) | ||||
−0.0722517 | + | 0.997386i | \(0.523018\pi\) | |||||||
\(140\) | −1.12007 | + | 7.79022i | −0.0946628 | + | 0.658394i | ||||
\(141\) | −0.0870484 | − | 0.190609i | −0.00733080 | − | 0.0160522i | ||||
\(142\) | 20.1499 | + | 5.91653i | 1.69094 | + | 0.496504i | ||||
\(143\) | −3.94795 | − | 4.55617i | −0.330144 | − | 0.381006i | ||||
\(144\) | 49.7378 | − | 14.6043i | 4.14481 | − | 1.21703i | ||||
\(145\) | −0.830066 | − | 0.533451i | −0.0689332 | − | 0.0443007i | ||||
\(146\) | −9.63176 | + | 21.0906i | −0.797130 | + | 1.74547i | ||||
\(147\) | 0.191534 | − | 0.221042i | 0.0157975 | − | 0.0182312i | ||||
\(148\) | 22.0279 | − | 14.1564i | 1.81068 | − | 1.16365i | ||||
\(149\) | 1.13160 | + | 7.87047i | 0.0927045 | + | 0.644774i | 0.982201 | + | 0.187832i | \(0.0601461\pi\) |
−0.889497 | + | 0.456942i | \(0.848945\pi\) | |||||||
\(150\) | 0.0226437 | + | 0.157490i | 0.00184885 | + | 0.0128590i | ||||
\(151\) | 8.45022 | − | 5.43063i | 0.687669 | − | 0.441938i | −0.149587 | − | 0.988749i | \(-0.547794\pi\) |
0.837257 | + | 0.546810i | \(0.184158\pi\) | |||||||
\(152\) | −30.2547 | + | 34.9158i | −2.45398 | + | 2.83204i | ||||
\(153\) | −5.95701 | + | 13.0440i | −0.481595 | + | 1.05455i | ||||
\(154\) | −4.31903 | − | 2.77567i | −0.348038 | − | 0.223670i | ||||
\(155\) | −2.08471 | + | 0.612126i | −0.167448 | + | 0.0491671i | ||||
\(156\) | −0.962945 | − | 1.11130i | −0.0770973 | − | 0.0889751i | ||||
\(157\) | 9.52091 | + | 2.79559i | 0.759851 | + | 0.223112i | 0.638631 | − | 0.769513i | \(-0.279501\pi\) |
0.121220 | + | 0.992626i | \(0.461319\pi\) | |||||||
\(158\) | −15.7466 | − | 34.4803i | −1.25273 | − | 2.74311i | ||||
\(159\) | −0.00728544 | + | 0.0506713i | −0.000577773 | + | 0.00401850i | ||||
\(160\) | −27.3827 | −2.16479 | ||||||||
\(161\) | −4.74195 | + | 4.58536i | −0.373718 | + | 0.361377i | ||||
\(162\) | −24.9278 | −1.95851 | ||||||||
\(163\) | −0.337865 | + | 2.34990i | −0.0264636 | + | 0.184058i | −0.998766 | − | 0.0496691i | \(-0.984183\pi\) |
0.972302 | + | 0.233728i | \(0.0750924\pi\) | |||||||
\(164\) | −6.10864 | − | 13.3761i | −0.477004 | − | 1.04449i | ||||
\(165\) | −0.0737947 | − | 0.0216681i | −0.00574491 | − | 0.00168686i | ||||
\(166\) | −7.91443 | − | 9.13374i | −0.614279 | − | 0.708916i | ||||
\(167\) | −3.79183 | + | 1.11338i | −0.293421 | + | 0.0861561i | −0.425130 | − | 0.905132i | \(-0.639772\pi\) |
0.131709 | + | 0.991288i | \(0.457953\pi\) | |||||||
\(168\) | −0.685250 | − | 0.440384i | −0.0528682 | − | 0.0339763i | ||||
\(169\) | 2.96756 | − | 6.49804i | 0.228274 | − | 0.499849i | ||||
\(170\) | 8.70795 | − | 10.0495i | 0.667869 | − | 0.770762i | ||||
\(171\) | 11.2607 | − | 7.23678i | 0.861124 | − | 0.553411i | ||||
\(172\) | −6.54032 | − | 45.4889i | −0.498695 | − | 3.46850i | ||||
\(173\) | −0.00901048 | − | 0.0626692i | −0.000685054 | − | 0.00476465i | 0.989476 | − | 0.144697i | \(-0.0462207\pi\) |
−0.990161 | + | 0.139932i | \(0.955312\pi\) | |||||||
\(174\) | 0.132072 | − | 0.0848773i | 0.0100123 | − | 0.00643453i | ||||
\(175\) | −0.900716 | + | 1.03948i | −0.0680877 | + | 0.0785774i | ||||
\(176\) | 9.65237 | − | 21.1357i | 0.727575 | − | 1.59317i | ||||
\(177\) | 0.116556 | + | 0.0749059i | 0.00876087 | + | 0.00563027i | ||||
\(178\) | −42.5514 | + | 12.4942i | −3.18936 | + | 0.936481i | ||||
\(179\) | −3.81649 | − | 4.40447i | −0.285258 | − | 0.329205i | 0.594978 | − | 0.803742i | \(-0.297161\pi\) |
−0.880236 | + | 0.474537i | \(0.842615\pi\) | |||||||
\(180\) | 16.4529 | + | 4.83101i | 1.22633 | + | 0.360082i | ||||
\(181\) | 3.75100 | + | 8.21354i | 0.278809 | + | 0.610508i | 0.996289 | − | 0.0860721i | \(-0.0274316\pi\) |
−0.717479 | + | 0.696580i | \(0.754704\pi\) | |||||||
\(182\) | 2.44132 | − | 16.9798i | 0.180963 | − | 1.25862i | ||||
\(183\) | −0.464636 | −0.0343469 | ||||||||
\(184\) | −39.2055 | − | 30.3890i | −2.89027 | − | 2.24031i | ||||
\(185\) | 4.57605 | 0.336438 | ||||||||
\(186\) | 0.0491984 | − | 0.342182i | 0.00360740 | − | 0.0250900i | ||||
\(187\) | 2.67015 | + | 5.84681i | 0.195261 | + | 0.427561i | ||||
\(188\) | 20.0930 | + | 5.89984i | 1.46543 | + | 0.430290i | ||||
\(189\) | 0.309265 | + | 0.356911i | 0.0224958 | + | 0.0259615i | ||||
\(190\) | −11.9097 | + | 3.49699i | −0.864018 | + | 0.253699i | ||||
\(191\) | 11.4811 | + | 7.37846i | 0.830744 | + | 0.533887i | 0.885514 | − | 0.464612i | \(-0.153806\pi\) |
−0.0547703 | + | 0.998499i | \(0.517443\pi\) | |||||||
\(192\) | 0.987018 | − | 2.16127i | 0.0712319 | − | 0.155976i | ||||
\(193\) | −9.41083 | + | 10.8607i | −0.677406 | + | 0.781769i | −0.985516 | − | 0.169582i | \(-0.945758\pi\) |
0.308110 | + | 0.951351i | \(0.400304\pi\) | |||||||
\(194\) | −40.2859 | + | 25.8902i | −2.89236 | + | 1.85881i | ||||
\(195\) | −0.0365720 | − | 0.254364i | −0.00261897 | − | 0.0182154i | ||||
\(196\) | 4.15979 | + | 28.9320i | 0.297128 | + | 2.06657i | ||||
\(197\) | 16.3987 | − | 10.5388i | 1.16836 | − | 0.750858i | 0.195147 | − | 0.980774i | \(-0.437482\pi\) |
0.973210 | + | 0.229916i | \(0.0738452\pi\) | |||||||
\(198\) | −7.32515 | + | 8.45367i | −0.520576 | + | 0.600776i | ||||
\(199\) | −8.49813 | + | 18.6083i | −0.602417 | + | 1.31911i | 0.325225 | + | 0.945637i | \(0.394560\pi\) |
−0.927641 | + | 0.373472i | \(0.878167\pi\) | |||||||
\(200\) | −8.70123 | − | 5.59194i | −0.615270 | − | 0.395410i | ||||
\(201\) | −0.650441 | + | 0.190987i | −0.0458786 | + | 0.0134712i | ||||
\(202\) | 17.2012 | + | 19.8512i | 1.21027 | + | 1.39673i | ||||
\(203\) | 1.30217 | + | 0.382350i | 0.0913941 | + | 0.0268357i | ||||
\(204\) | 0.651277 | + | 1.42610i | 0.0455985 | + | 0.0998469i | ||||
\(205\) | 0.365728 | − | 2.54369i | 0.0255435 | − | 0.177659i | ||||
\(206\) | 24.7486 | 1.72431 | ||||||||
\(207\) | 8.41833 | + | 11.6482i | 0.585115 | + | 0.809603i | ||||
\(208\) | 77.6366 | 5.38313 | ||||||||
\(209\) | 0.853875 | − | 5.93883i | 0.0590638 | − | 0.410798i | ||||
\(210\) | −0.0909113 | − | 0.199068i | −0.00627348 | − | 0.0137370i | ||||
\(211\) | −16.8716 | − | 4.95394i | −1.16149 | − | 0.341043i | −0.356476 | − | 0.934304i | \(-0.616022\pi\) |
−0.805010 | + | 0.593261i | \(0.797840\pi\) | |||||||
\(212\) | −3.35026 | − | 3.86641i | −0.230097 | − | 0.265546i | ||||
\(213\) | −0.415178 | + | 0.121907i | −0.0284475 | + | 0.00835295i | ||||
\(214\) | 14.7495 | + | 9.47892i | 1.00825 | + | 0.647966i | ||||
\(215\) | 3.33639 | − | 7.30568i | 0.227540 | − | 0.498243i | ||||
\(216\) | −2.32566 | + | 2.68396i | −0.158241 | + | 0.182620i | ||||
\(217\) | 2.51402 | − | 1.61566i | 0.170663 | − | 0.109678i | ||||
\(218\) | 0.372654 | + | 2.59186i | 0.0252393 | + | 0.175543i | ||||
\(219\) | −0.0679886 | − | 0.472871i | −0.00459424 | − | 0.0319537i | ||||
\(220\) | 6.46599 | − | 4.15544i | 0.435937 | − | 0.280160i | ||||
\(221\) | −14.0643 | + | 16.2310i | −0.946065 | + | 1.09182i | ||||
\(222\) | −0.302462 | + | 0.662299i | −0.0202999 | + | 0.0444506i | ||||
\(223\) | 6.95767 | + | 4.47142i | 0.465920 | + | 0.299429i | 0.752458 | − | 0.658640i | \(-0.228868\pi\) |
−0.286538 | + | 0.958069i | \(0.592504\pi\) | |||||||
\(224\) | 36.1374 | − | 10.6109i | 2.41453 | − | 0.708970i | ||||
\(225\) | 1.96244 | + | 2.26477i | 0.130829 | + | 0.150985i | ||||
\(226\) | −23.9269 | − | 7.02556i | −1.59159 | − | 0.467333i | ||||
\(227\) | 1.88705 | + | 4.13206i | 0.125248 | + | 0.274254i | 0.961860 | − | 0.273541i | \(-0.0881948\pi\) |
−0.836613 | + | 0.547795i | \(0.815467\pi\) | |||||||
\(228\) | 0.208269 | − | 1.44854i | 0.0137930 | − | 0.0959321i | ||||
\(229\) | −9.25944 | −0.611881 | −0.305941 | − | 0.952051i | \(-0.598971\pi\) | ||||
−0.305941 | + | 0.952051i | \(0.598971\pi\) | |||||||
\(230\) | −4.44703 | − | 12.5631i | −0.293228 | − | 0.828387i | ||||
\(231\) | 0.105785 | 0.00696011 | ||||||||
\(232\) | −1.45241 | + | 10.1017i | −0.0953554 | + | 0.663212i | ||||
\(233\) | −0.651928 | − | 1.42752i | −0.0427092 | − | 0.0935201i | 0.887075 | − | 0.461626i | \(-0.152734\pi\) |
−0.929784 | + | 0.368106i | \(0.880006\pi\) | |||||||
\(234\) | −35.8611 | − | 10.5298i | −2.34432 | − | 0.688353i | ||||
\(235\) | 2.39661 | + | 2.76584i | 0.156338 | + | 0.180423i | ||||
\(236\) | −13.2854 | + | 3.90093i | −0.864803 | + | 0.253929i | ||||
\(237\) | 0.657045 | + | 0.422257i | 0.0426796 | + | 0.0274285i | ||||
\(238\) | −7.59780 | + | 16.6369i | −0.492492 | + | 1.07841i | ||||
\(239\) | −12.3633 | + | 14.2680i | −0.799712 | + | 0.922917i | −0.998365 | − | 0.0571528i | \(-0.981798\pi\) |
0.198653 | + | 0.980070i | \(0.436343\pi\) | |||||||
\(240\) | 0.833211 | − | 0.535472i | 0.0537835 | − | 0.0345646i | ||||
\(241\) | 2.23804 | + | 15.5659i | 0.144165 | + | 1.00269i | 0.925546 | + | 0.378636i | \(0.123607\pi\) |
−0.781381 | + | 0.624055i | \(0.785484\pi\) | |||||||
\(242\) | −3.63666 | − | 25.2935i | −0.233773 | − | 1.62593i | ||||
\(243\) | 1.29864 | − | 0.834583i | 0.0833075 | − | 0.0535385i | ||||
\(244\) | 30.4079 | − | 35.0926i | 1.94666 | − | 2.24657i | ||||
\(245\) | −2.12202 | + | 4.64657i | −0.135571 | + | 0.296859i | ||||
\(246\) | 0.343979 | + | 0.221062i | 0.0219313 | + | 0.0140944i | ||||
\(247\) | 19.2354 | − | 5.64802i | 1.22392 | − | 0.359375i | ||||
\(248\) | 14.7166 | + | 16.9838i | 0.934503 | + | 1.07847i | ||||
\(249\) | 0.238932 | + | 0.0701569i | 0.0151417 | + | 0.00444601i | ||||
\(250\) | −1.15438 | − | 2.52774i | −0.0730095 | − | 0.159869i | ||||
\(251\) | −0.896052 | + | 6.23218i | −0.0565583 | + | 0.393372i | 0.941804 | + | 0.336163i | \(0.109129\pi\) |
−0.998362 | + | 0.0572089i | \(0.981780\pi\) | |||||||
\(252\) | −23.5852 | −1.48573 | ||||||||
\(253\) | 6.41692 | + | 0.567363i | 0.403428 | + | 0.0356698i | ||||
\(254\) | −6.70859 | −0.420934 | ||||||||
\(255\) | −0.0389924 | + | 0.271198i | −0.00244180 | + | 0.0169831i | ||||
\(256\) | 35.4190 | + | 77.5567i | 2.21369 | + | 4.84730i | ||||
\(257\) | −2.15270 | − | 0.632091i | −0.134282 | − | 0.0394287i | 0.213901 | − | 0.976855i | \(-0.431383\pi\) |
−0.348183 | + | 0.937427i | \(0.613201\pi\) | |||||||
\(258\) | 0.836837 | + | 0.965761i | 0.0520992 | + | 0.0601257i | ||||
\(259\) | −6.03909 | + | 1.77324i | −0.375251 | + | 0.110184i | ||||
\(260\) | 21.6048 | + | 13.8845i | 1.33987 | + | 0.861083i | ||||
\(261\) | 1.22833 | − | 2.68966i | 0.0760316 | − | 0.166486i | ||||
\(262\) | −20.0027 | + | 23.0843i | −1.23577 | + | 1.42616i | ||||
\(263\) | 2.50513 | − | 1.60995i | 0.154473 | − | 0.0992735i | −0.461121 | − | 0.887337i | \(-0.652553\pi\) |
0.615594 | + | 0.788064i | \(0.288916\pi\) | |||||||
\(264\) | 0.113211 | + | 0.787398i | 0.00696764 | + | 0.0484610i | ||||
\(265\) | −0.127241 | − | 0.884978i | −0.00781633 | − | 0.0543638i | ||||
\(266\) | 14.3623 | − | 9.23007i | 0.880608 | − | 0.565932i | ||||
\(267\) | 0.598389 | − | 0.690578i | 0.0366208 | − | 0.0422627i | ||||
\(268\) | 28.1431 | − | 61.6249i | 1.71912 | − | 3.76434i | ||||
\(269\) | 0.953299 | + | 0.612648i | 0.0581237 | + | 0.0373538i | 0.569380 | − | 0.822074i | \(-0.307183\pi\) |
−0.511256 | + | 0.859428i | \(0.670820\pi\) | |||||||
\(270\) | −0.915488 | + | 0.268812i | −0.0557149 | + | 0.0163594i | ||||
\(271\) | −9.69109 | − | 11.1841i | −0.588692 | − | 0.679386i | 0.380759 | − | 0.924674i | \(-0.375663\pi\) |
−0.969450 | + | 0.245288i | \(0.921117\pi\) | |||||||
\(272\) | −79.4218 | − | 23.3203i | −4.81565 | − | 1.41400i | ||||
\(273\) | 0.146832 | + | 0.321516i | 0.00888665 | + | 0.0194590i | ||||
\(274\) | 0.565995 | − | 3.93658i | 0.0341930 | − | 0.237818i | ||||
\(275\) | 1.34324 | 0.0810004 | ||||||||
\(276\) | 1.56515 | + | 0.138386i | 0.0942112 | + | 0.00832985i | ||||
\(277\) | 4.80882 | 0.288934 | 0.144467 | − | 0.989510i | \(-0.453853\pi\) | ||||
0.144467 | + | 0.989510i | \(0.453853\pi\) | |||||||
\(278\) | −0.673756 | + | 4.68608i | −0.0404092 | + | 0.281052i | ||||
\(279\) | −2.70478 | − | 5.92265i | −0.161931 | − | 0.354580i | ||||
\(280\) | 13.6500 | + | 4.00802i | 0.815746 | + | 0.239525i | ||||
\(281\) | −1.80054 | − | 2.07793i | −0.107411 | − | 0.123959i | 0.699498 | − | 0.714634i | \(-0.253407\pi\) |
−0.806909 | + | 0.590675i | \(0.798861\pi\) | |||||||
\(282\) | −0.558712 | + | 0.164053i | −0.0332708 | + | 0.00976919i | ||||
\(283\) | −16.9762 | − | 10.9099i | −1.00913 | − | 0.648529i | −0.0719627 | − | 0.997407i | \(-0.522926\pi\) |
−0.937168 | + | 0.348878i | \(0.886563\pi\) | |||||||
\(284\) | 17.9638 | − | 39.3353i | 1.06596 | − | 2.33412i | ||||
\(285\) | 0.167482 | − | 0.193285i | 0.00992080 | − | 0.0114492i | ||||
\(286\) | −14.0934 | + | 9.05729i | −0.833361 | + | 0.535569i | ||||
\(287\) | 0.503033 | + | 3.49867i | 0.0296931 | + | 0.206520i | ||||
\(288\) | −11.6781 | − | 81.2231i | −0.688140 | − | 4.78612i | ||||
\(289\) | 4.96178 | − | 3.18874i | 0.291869 | − | 0.187573i | ||||
\(290\) | −1.79557 | + | 2.07220i | −0.105439 | + | 0.121684i | ||||
\(291\) | 0.409894 | − | 0.897542i | 0.0240284 | − | 0.0526148i | ||||
\(292\) | 40.1640 | + | 25.8119i | 2.35042 | + | 1.51052i | ||||
\(293\) | 19.7136 | − | 5.78842i | 1.15168 | − | 0.338163i | 0.350485 | − | 0.936568i | \(-0.386017\pi\) |
0.801194 | + | 0.598405i | \(0.204199\pi\) | |||||||
\(294\) | −0.532247 | − | 0.614246i | −0.0310413 | − | 0.0358235i | ||||
\(295\) | −2.32177 | − | 0.681733i | −0.135179 | − | 0.0396920i | ||||
\(296\) | −19.6620 | − | 43.0537i | −1.14283 | − | 2.50244i | ||||
\(297\) | 0.0656368 | − | 0.456514i | 0.00380864 | − | 0.0264896i | ||||
\(298\) | 22.0959 | 1.27998 | ||||||||
\(299\) | 7.18242 | + | 20.2908i | 0.415370 | + | 1.17345i | ||||
\(300\) | 0.327630 | 0.0189158 | ||||||||
\(301\) | −1.57211 | + | 10.9343i | −0.0906151 | + | 0.630242i | ||||
\(302\) | −11.5955 | − | 25.3907i | −0.667248 | − | 1.46107i | ||||
\(303\) | −0.519295 | − | 0.152479i | −0.0298327 | − | 0.00875967i | ||||
\(304\) | 50.5985 | + | 58.3938i | 2.90202 | + | 3.34911i | ||||
\(305\) | 7.78618 | − | 2.28623i | 0.445835 | − | 0.130909i | ||||
\(306\) | 33.5228 | + | 21.5438i | 1.91637 | + | 1.23158i | ||||
\(307\) | 9.83198 | − | 21.5290i | 0.561141 | − | 1.22873i | −0.390241 | − | 0.920713i | \(-0.627608\pi\) |
0.951382 | − | 0.308014i | \(-0.0996645\pi\) | |||||||
\(308\) | −6.92302 | + | 7.98959i | −0.394476 | + | 0.455249i | ||||
\(309\) | −0.428982 | + | 0.275690i | −0.0244040 | + | 0.0156835i | ||||
\(310\) | 0.859253 | + | 5.97624i | 0.0488023 | + | 0.339428i | ||||
\(311\) | −4.50813 | − | 31.3547i | −0.255632 | − | 1.77796i | −0.563085 | − | 0.826399i | \(-0.690386\pi\) |
0.307453 | − | 0.951563i | \(-0.400523\pi\) | |||||||
\(312\) | −2.23604 | + | 1.43701i | −0.126591 | + | 0.0813549i | ||||
\(313\) | −8.43094 | + | 9.72982i | −0.476545 | + | 0.549962i | −0.942220 | − | 0.334993i | \(-0.891266\pi\) |
0.465676 | + | 0.884955i | \(0.345811\pi\) | |||||||
\(314\) | 11.4548 | − | 25.0824i | 0.646429 | − | 1.41548i | ||||
\(315\) | −3.46746 | − | 2.22840i | −0.195369 | − | 0.125556i | ||||
\(316\) | −74.8918 | + | 21.9902i | −4.21299 | + | 1.23705i | ||||
\(317\) | 9.25227 | + | 10.6777i | 0.519659 | + | 0.599719i | 0.953546 | − | 0.301249i | \(-0.0974034\pi\) |
−0.433886 | + | 0.900968i | \(0.642858\pi\) | |||||||
\(318\) | 0.136494 | + | 0.0400784i | 0.00765422 | + | 0.00224748i | ||||
\(319\) | −0.550581 | − | 1.20560i | −0.0308266 | − | 0.0675009i | ||||
\(320\) | −5.90559 | + | 41.0743i | −0.330132 | + | 2.29612i | ||||
\(321\) | −0.361254 | −0.0201632 | ||||||||
\(322\) | 10.7371 | + | 14.8565i | 0.598353 | + | 0.827921i | ||||
\(323\) | −21.3742 | −1.18929 | ||||||||
\(324\) | −7.30502 | + | 50.8075i | −0.405834 | + | 2.82264i | ||||
\(325\) | 1.86445 | + | 4.08258i | 0.103421 | + | 0.226461i | ||||
\(326\) | 6.32997 | + | 1.85865i | 0.350585 | + | 0.102941i | ||||
\(327\) | −0.0353319 | − | 0.0407752i | −0.00195386 | − | 0.00225487i | ||||
\(328\) | −25.5037 | + | 7.48856i | −1.40821 | + | 0.413487i | ||||
\(329\) | −4.23462 | − | 2.72143i | −0.233462 | − | 0.150037i | ||||
\(330\) | −0.0887837 | + | 0.194409i | −0.00488738 | + | 0.0107019i | ||||
\(331\) | 20.4528 | − | 23.6038i | 1.12419 | − | 1.29738i | 0.174337 | − | 0.984686i | \(-0.444222\pi\) |
0.949853 | − | 0.312698i | \(-0.101233\pi\) | |||||||
\(332\) | −20.9356 | + | 13.4545i | −1.14899 | + | 0.738410i | ||||
\(333\) | 1.95159 | + | 13.5736i | 0.106946 | + | 0.743827i | ||||
\(334\) | 1.56288 | + | 10.8700i | 0.0855168 | + | 0.594782i | ||||
\(335\) | 9.96009 | − | 6.40096i | 0.544178 | − | 0.349722i | ||||
\(336\) | −0.892105 | + | 1.02954i | −0.0486683 | + | 0.0561662i | ||||
\(337\) | 9.83740 | − | 21.5409i | 0.535877 | − | 1.17341i | −0.427194 | − | 0.904160i | \(-0.640498\pi\) |
0.963071 | − | 0.269247i | \(-0.0867750\pi\) | |||||||
\(338\) | −16.6998 | − | 10.7323i | −0.908349 | − | 0.583760i | ||||
\(339\) | 0.493002 | − | 0.144758i | 0.0267762 | − | 0.00786219i | ||||
\(340\) | −17.9309 | − | 20.6934i | −0.972441 | − | 1.12226i | ||||
\(341\) | −2.80027 | − | 0.822232i | −0.151643 | − | 0.0445264i | ||||
\(342\) | −15.4521 | − | 33.8353i | −0.835551 | − | 1.82960i | ||||
\(343\) | 2.37011 | − | 16.4845i | 0.127974 | − | 0.890077i | ||||
\(344\) | −83.0708 | −4.47888 | ||||||||
\(345\) | 0.217032 | + | 0.168226i | 0.0116846 | + | 0.00905699i | ||||
\(346\) | −0.175940 | −0.00945860 | ||||||||
\(347\) | −2.89231 | + | 20.1165i | −0.155267 | + | 1.07991i | 0.751942 | + | 0.659229i | \(0.229117\pi\) |
−0.907209 | + | 0.420679i | \(0.861792\pi\) | |||||||
\(348\) | −0.134293 | − | 0.294060i | −0.00719884 | − | 0.0157633i | ||||
\(349\) | 18.8607 | + | 5.53800i | 1.00959 | + | 0.296442i | 0.744385 | − | 0.667750i | \(-0.232743\pi\) |
0.265204 | + | 0.964192i | \(0.414561\pi\) | |||||||
\(350\) | 2.50297 | + | 2.88858i | 0.133789 | + | 0.154401i | ||||
\(351\) | 1.47861 | − | 0.434159i | 0.0789224 | − | 0.0231737i | ||||
\(352\) | −30.9426 | − | 19.8856i | −1.64925 | − | 1.05991i | ||||
\(353\) | 8.40026 | − | 18.3940i | 0.447101 | − | 0.979015i | −0.543139 | − | 0.839643i | \(-0.682764\pi\) |
0.990240 | − | 0.139372i | \(-0.0445083\pi\) | |||||||
\(354\) | 0.252129 | − | 0.290973i | 0.0134005 | − | 0.0154650i | ||||
\(355\) | 6.35755 | − | 4.08575i | 0.337424 | − | 0.216849i | ||||
\(356\) | 12.9960 | + | 90.3891i | 0.688786 | + | 4.79061i | ||||
\(357\) | −0.0536313 | − | 0.373014i | −0.00283847 | − | 0.0197420i | ||||
\(358\) | −13.6242 | + | 8.75571i | −0.720059 | + | 0.462754i | ||||
\(359\) | −7.89436 | + | 9.11057i | −0.416648 | + | 0.480838i | −0.924813 | − | 0.380422i | \(-0.875779\pi\) |
0.508165 | + | 0.861260i | \(0.330324\pi\) | |||||||
\(360\) | 12.8760 | − | 28.1946i | 0.678627 | − | 1.48599i | ||||
\(361\) | 0.800653 | + | 0.514549i | 0.0421396 | + | 0.0270815i | ||||
\(362\) | 24.0754 | − | 7.06918i | 1.26538 | − | 0.371548i | ||||
\(363\) | 0.344797 | + | 0.397917i | 0.0180972 | + | 0.0208852i | ||||
\(364\) | −33.8925 | − | 9.95173i | −1.77645 | − | 0.521612i | ||||
\(365\) | 3.46608 | + | 7.58965i | 0.181423 | + | 0.397260i | ||||
\(366\) | −0.183751 | + | 1.27802i | −0.00960483 | + | 0.0668030i | ||||
\(367\) | −29.4350 | −1.53649 | −0.768247 | − | 0.640154i | \(-0.778871\pi\) | ||||
−0.768247 | + | 0.640154i | \(0.778871\pi\) | |||||||
\(368\) | −59.6371 | + | 57.6677i | −3.10880 | + | 3.00614i | ||||
\(369\) | 7.70113 | 0.400905 | ||||||||
\(370\) | 1.80971 | − | 12.5868i | 0.0940822 | − | 0.654356i | ||||
\(371\) | 0.510854 | + | 1.11861i | 0.0265222 | + | 0.0580755i | ||||
\(372\) | −0.683014 | − | 0.200551i | −0.0354126 | − | 0.0103981i | ||||
\(373\) | −19.5046 | − | 22.5095i | −1.00991 | − | 1.16550i | −0.986163 | − | 0.165780i | \(-0.946986\pi\) |
−0.0237471 | − | 0.999718i | \(-0.507560\pi\) | |||||||
\(374\) | 17.1381 | − | 5.03220i | 0.886189 | − | 0.260209i | ||||
\(375\) | 0.0481678 | + | 0.0309556i | 0.00248737 | + | 0.00159854i | ||||
\(376\) | 15.7248 | − | 34.4325i | 0.810944 | − | 1.77572i | ||||
\(377\) | 2.90003 | − | 3.34682i | 0.149359 | − | 0.172370i | ||||
\(378\) | 1.10402 | − | 0.709510i | 0.0567846 | − | 0.0364933i | ||||
\(379\) | 0.390306 | + | 2.71464i | 0.0200487 | + | 0.139442i | 0.997387 | − | 0.0722405i | \(-0.0230149\pi\) |
−0.977339 | + | 0.211682i | \(0.932106\pi\) | |||||||
\(380\) | 3.63743 | + | 25.2989i | 0.186596 | + | 1.29781i | ||||
\(381\) | 0.116284 | − | 0.0747313i | 0.00595742 | − | 0.00382860i | ||||
\(382\) | 24.8355 | − | 28.6617i | 1.27070 | − | 1.46646i | ||||
\(383\) | −3.46772 | + | 7.59326i | −0.177192 | + | 0.387997i | −0.977300 | − | 0.211859i | \(-0.932048\pi\) |
0.800108 | + | 0.599856i | \(0.204776\pi\) | |||||||
\(384\) | −2.91647 | − | 1.87430i | −0.148830 | − | 0.0956475i | ||||
\(385\) | −1.77270 | + | 0.520510i | −0.0903449 | + | 0.0265277i | ||||
\(386\) | 26.1514 | + | 30.1803i | 1.33107 | + | 1.53614i | ||||
\(387\) | 23.0931 | + | 6.78076i | 1.17389 | + | 0.344685i | ||||
\(388\) | 40.9634 | + | 89.6972i | 2.07960 | + | 4.55369i | ||||
\(389\) | −2.69359 | + | 18.7343i | −0.136570 | + | 0.949867i | 0.800153 | + | 0.599796i | \(0.204752\pi\) |
−0.936723 | + | 0.350071i | \(0.886157\pi\) | |||||||
\(390\) | −0.714111 | −0.0361604 | ||||||||
\(391\) | −1.25267 | − | 22.9148i | −0.0633504 | − | 1.15885i | ||||
\(392\) | 52.8349 | 2.66856 | ||||||||
\(393\) | 0.0895679 | − | 0.622958i | 0.00451810 | − | 0.0314241i | ||||
\(394\) | −22.5025 | − | 49.2737i | −1.13366 | − | 2.48237i | ||||
\(395\) | −13.0882 | − | 3.84304i | −0.658539 | − | 0.193364i | ||||
\(396\) | 15.0835 | + | 17.4073i | 0.757977 | + | 0.874752i | ||||
\(397\) | −11.6175 | + | 3.41120i | −0.583064 | + | 0.171203i | −0.559945 | − | 0.828530i | \(-0.689178\pi\) |
−0.0231190 | + | 0.999733i | \(0.507360\pi\) | |||||||
\(398\) | 47.8229 | + | 30.7339i | 2.39714 | + | 1.54055i | ||||
\(399\) | −0.146131 | + | 0.319981i | −0.00731568 | + | 0.0160191i | ||||
\(400\) | −11.3278 | + | 13.0730i | −0.566392 | + | 0.653651i | ||||
\(401\) | 11.8052 | − | 7.58675i | 0.589524 | − | 0.378864i | −0.211605 | − | 0.977355i | \(-0.567869\pi\) |
0.801129 | + | 0.598491i | \(0.204233\pi\) | |||||||
\(402\) | 0.268092 | + | 1.86462i | 0.0133712 | + | 0.0929988i | ||||
\(403\) | −1.38779 | − | 9.65226i | −0.0691305 | − | 0.480813i | ||||
\(404\) | 45.5013 | − | 29.2419i | 2.26377 | − | 1.45484i | ||||
\(405\) | −5.87443 | + | 6.77946i | −0.291903 | + | 0.336874i | ||||
\(406\) | 1.56666 | − | 3.43050i | 0.0777519 | − | 0.170253i | ||||
\(407\) | 5.17097 | + | 3.32318i | 0.256315 | + | 0.164724i | ||||
\(408\) | 2.71910 | − | 0.798399i | 0.134615 | − | 0.0395266i | ||||
\(409\) | −13.7072 | − | 15.8189i | −0.677777 | − | 0.782196i | 0.307795 | − | 0.951453i | \(-0.400409\pi\) |
−0.985572 | + | 0.169256i | \(0.945863\pi\) | |||||||
\(410\) | −6.85199 | − | 2.01193i | −0.338396 | − | 0.0993620i | ||||
\(411\) | 0.0340414 | + | 0.0745402i | 0.00167914 | + | 0.00367680i | ||||
\(412\) | 7.25249 | − | 50.4422i | 0.357305 | − | 2.48511i | ||||
\(413\) | 3.32825 | 0.163772 | ||||||||
\(414\) | 35.3684 | − | 18.5488i | 1.73826 | − | 0.911622i | ||||
\(415\) | −4.34914 | −0.213491 | ||||||||
\(416\) | 17.4902 | − | 121.647i | 0.857528 | − | 5.96424i | ||||
\(417\) | −0.0405226 | − | 0.0887321i | −0.00198440 | − | 0.00434523i | ||||
\(418\) | −15.9975 | − | 4.69730i | −0.782465 | − | 0.229753i | ||||
\(419\) | −16.5994 | − | 19.1568i | −0.810935 | − | 0.935869i | 0.187992 | − | 0.982171i | \(-0.439802\pi\) |
−0.998928 | + | 0.0463013i | \(0.985257\pi\) | |||||||
\(420\) | −0.432379 | + | 0.126958i | −0.0210979 | + | 0.00619491i | ||||
\(421\) | 12.1501 | + | 7.80841i | 0.592161 | + | 0.380559i | 0.802130 | − | 0.597149i | \(-0.203700\pi\) |
−0.209969 | + | 0.977708i | \(0.567336\pi\) | |||||||
\(422\) | −20.2985 | + | 44.4474i | −0.988113 | + | 2.16367i | ||||
\(423\) | −7.18198 | + | 8.28845i | −0.349200 | + | 0.402998i | ||||
\(424\) | −7.77958 | + | 4.99963i | −0.377810 | + | 0.242804i | ||||
\(425\) | −0.681004 | − | 4.73649i | −0.0330335 | − | 0.229753i | ||||
\(426\) | 0.171124 | + | 1.19019i | 0.00829097 | + | 0.0576650i | ||||
\(427\) | −9.38963 | + | 6.03435i | −0.454396 | + | 0.292023i | ||||
\(428\) | 23.6421 | − | 27.2844i | 1.14278 | − | 1.31884i | ||||
\(429\) | 0.143395 | − | 0.313991i | 0.00692318 | − | 0.0151596i | ||||
\(430\) | −18.7754 | − | 12.0662i | −0.905430 | − | 0.581884i | ||||
\(431\) | −36.7603 | + | 10.7938i | −1.77068 | + | 0.519918i | −0.993942 | − | 0.109906i | \(-0.964945\pi\) |
−0.776737 | + | 0.629825i | \(0.783127\pi\) | |||||||
\(432\) | 3.88947 | + | 4.48869i | 0.187132 | + | 0.215962i | ||||
\(433\) | −0.151836 | − | 0.0445831i | −0.00729678 | − | 0.00214253i | 0.278082 | − | 0.960557i | \(-0.410301\pi\) |
−0.285379 | + | 0.958415i | \(0.592119\pi\) | |||||||
\(434\) | −3.44978 | − | 7.55397i | −0.165595 | − | 0.362602i | ||||
\(435\) | 0.00804018 | − | 0.0559207i | 0.000385497 | − | 0.00268119i | ||||
\(436\) | 5.39191 | 0.258226 | ||||||||
\(437\) | −10.5805 | + | 18.6264i | −0.506134 | + | 0.891022i | ||||
\(438\) | −1.32756 | −0.0634331 | ||||||||
\(439\) | 2.03753 | − | 14.1713i | 0.0972461 | − | 0.676361i | −0.881635 | − | 0.471932i | \(-0.843557\pi\) |
0.978881 | − | 0.204430i | \(-0.0655340\pi\) | |||||||
\(440\) | −5.77151 | − | 12.6378i | −0.275146 | − | 0.602486i | ||||
\(441\) | −14.6877 | − | 4.31271i | −0.699417 | − | 0.205367i | ||||
\(442\) | 39.0827 | + | 45.1038i | 1.85897 | + | 2.14537i | ||||
\(443\) | 12.8611 | − | 3.77635i | 0.611047 | − | 0.179420i | 0.0384556 | − | 0.999260i | \(-0.487756\pi\) |
0.572592 | + | 0.819841i | \(0.305938\pi\) | |||||||
\(444\) | 1.26125 | + | 0.810558i | 0.0598564 | + | 0.0384674i | ||||
\(445\) | −6.62960 | + | 14.5168i | −0.314273 | + | 0.688162i | ||||
\(446\) | 15.0506 | − | 17.3693i | 0.712666 | − | 0.822460i | ||||
\(447\) | −0.383001 | + | 0.246140i | −0.0181153 | + | 0.0116420i | ||||
\(448\) | −8.12273 | − | 56.4948i | −0.383763 | − | 2.66913i | ||||
\(449\) | 0.438262 | + | 3.04818i | 0.0206829 | + | 0.143852i | 0.997546 | − | 0.0700124i | \(-0.0223039\pi\) |
−0.976863 | + | 0.213865i | \(0.931395\pi\) | |||||||
\(450\) | 7.00552 | − | 4.50218i | 0.330244 | − | 0.212235i | ||||
\(451\) | 2.26053 | − | 2.60879i | 0.106444 | − | 0.122843i | ||||
\(452\) | −21.3311 | + | 46.7086i | −1.00333 | + | 2.19699i | ||||
\(453\) | 0.483836 | + | 0.310942i | 0.0227326 | + | 0.0146093i | ||||
\(454\) | 12.1118 | − | 3.55635i | 0.568436 | − | 0.166908i | ||||
\(455\) | −4.04256 | − | 4.66536i | −0.189518 | − | 0.218715i | ||||
\(456\) | −2.53814 | − | 0.745265i | −0.118859 | − | 0.0349002i | ||||
\(457\) | −11.6496 | − | 25.5090i | −0.544944 | − | 1.19326i | −0.959103 | − | 0.283057i | \(-0.908651\pi\) |
0.414159 | − | 0.910205i | \(-0.364076\pi\) | |||||||
\(458\) | −3.66186 | + | 25.4688i | −0.171108 | + | 1.19008i | ||||
\(459\) | −1.64302 | −0.0766897 | ||||||||
\(460\) | −26.9092 | + | 5.38229i | −1.25465 | + | 0.250951i | ||||
\(461\) | 30.7064 | 1.43014 | 0.715069 | − | 0.699054i | \(-0.246395\pi\) | ||||
0.715069 | + | 0.699054i | \(0.246395\pi\) | |||||||
\(462\) | 0.0418350 | − | 0.290969i | 0.00194634 | − | 0.0135371i | ||||
\(463\) | 7.82196 | + | 17.1277i | 0.363517 | + | 0.795992i | 0.999701 | + | 0.0244540i | \(0.00778472\pi\) |
−0.636184 | + | 0.771538i | \(0.719488\pi\) | |||||||
\(464\) | 16.3767 | + | 4.80862i | 0.760268 | + | 0.223235i | ||||
\(465\) | −0.0814672 | − | 0.0940181i | −0.00377795 | − | 0.00435999i | ||||
\(466\) | −4.18434 | + | 1.22863i | −0.193836 | + | 0.0569153i | ||||
\(467\) | −31.4449 | − | 20.2084i | −1.45509 | − | 0.935133i | −0.998977 | − | 0.0452130i | \(-0.985603\pi\) |
−0.456117 | − | 0.889920i | \(-0.650760\pi\) | |||||||
\(468\) | −31.9706 | + | 70.0060i | −1.47784 | + | 3.23603i | ||||
\(469\) | −10.6641 | + | 12.3070i | −0.492422 | + | 0.568285i | ||||
\(470\) | 8.55545 | − | 5.49826i | 0.394634 | − | 0.253616i | ||||
\(471\) | 0.0808568 | + | 0.562371i | 0.00372568 | + | 0.0259127i | ||||
\(472\) | 3.56189 | + | 24.7735i | 0.163949 | + | 1.14029i | ||||
\(473\) | 9.07560 | − | 5.83253i | 0.417296 | − | 0.268180i | ||||
\(474\) | 1.42129 | − | 1.64026i | 0.0652822 | − | 0.0753397i | ||||
\(475\) | −1.85555 | + | 4.06309i | −0.0851385 | + | 0.186427i | ||||
\(476\) | 31.6825 | + | 20.3611i | 1.45217 | + | 0.933250i | ||||
\(477\) | 2.57077 | − | 0.754847i | 0.117708 | − | 0.0345621i | ||||
\(478\) | 34.3558 | + | 39.6487i | 1.57140 | + | 1.81349i | ||||
\(479\) | 21.6798 | + | 6.36575i | 0.990573 | + | 0.290859i | 0.736582 | − | 0.676348i | \(-0.236438\pi\) |
0.253991 | + | 0.967207i | \(0.418257\pi\) | |||||||
\(480\) | −0.651311 | − | 1.42617i | −0.0297281 | − | 0.0650956i | ||||
\(481\) | −2.92287 | + | 20.3290i | −0.133271 | + | 0.926923i | ||||
\(482\) | 43.7004 | 1.99050 | ||||||||
\(483\) | −0.351609 | − | 0.137910i | −0.0159987 | − | 0.00627512i | ||||
\(484\) | −52.6186 | −2.39176 | ||||||||
\(485\) | −2.45250 | + | 17.0575i | −0.111362 | + | 0.774542i | ||||
\(486\) | −1.78201 | − | 3.90206i | −0.0808336 | − | 0.177001i | ||||
\(487\) | −23.7002 | − | 6.95901i | −1.07396 | − | 0.315343i | −0.303499 | − | 0.952832i | \(-0.598155\pi\) |
−0.770459 | + | 0.637489i | \(0.779973\pi\) | |||||||
\(488\) | −54.9649 | − | 63.4329i | −2.48814 | − | 2.87147i | ||||
\(489\) | −0.130426 | + | 0.0382966i | −0.00589807 | + | 0.00173183i | ||||
\(490\) | 11.9416 | + | 7.67438i | 0.539465 | + | 0.346693i | ||||
\(491\) | −5.87923 | + | 12.8737i | −0.265326 | + | 0.580983i | −0.994664 | − | 0.103171i | \(-0.967101\pi\) |
0.729338 | + | 0.684154i | \(0.239828\pi\) | |||||||
\(492\) | 0.551367 | − | 0.636312i | 0.0248576 | − | 0.0286872i | ||||
\(493\) | −3.97202 | + | 2.55267i | −0.178891 | + | 0.114966i | ||||
\(494\) | −7.92823 | − | 55.1421i | −0.356708 | − | 2.48096i | ||||
\(495\) | 0.572862 | + | 3.98435i | 0.0257482 | + | 0.179083i | ||||
\(496\) | 31.6176 | − | 20.3194i | 1.41967 | − | 0.912368i | ||||
\(497\) | −6.80692 | + | 7.85560i | −0.305332 | + | 0.352372i | ||||
\(498\) | 0.287463 | − | 0.629457i | 0.0128815 | − | 0.0282067i | ||||
\(499\) | 20.9399 | + | 13.4572i | 0.937398 | + | 0.602429i | 0.917656 | − | 0.397376i | \(-0.130079\pi\) |
0.0197420 | + | 0.999805i | \(0.493716\pi\) | |||||||
\(500\) | −5.49030 | + | 1.61210i | −0.245534 | + | 0.0720952i | ||||
\(501\) | −0.148179 | − | 0.171007i | −0.00662014 | − | 0.00764005i | ||||
\(502\) | 16.7877 | + | 4.92932i | 0.749273 | + | 0.220006i | ||||
\(503\) | −11.1275 | − | 24.3658i | −0.496151 | − | 1.08642i | −0.977701 | − | 0.210001i | \(-0.932653\pi\) |
0.481550 | − | 0.876419i | \(-0.340074\pi\) | |||||||
\(504\) | −6.06721 | + | 42.1984i | −0.270255 | + | 1.87966i | ||||
\(505\) | 9.45240 | 0.420626 | ||||||||
\(506\) | 4.09830 | − | 17.4259i | 0.182192 | − | 0.774674i | ||||
\(507\) | 0.409022 | 0.0181653 | ||||||||
\(508\) | −1.96593 | + | 13.6734i | −0.0872241 | + | 0.606657i | ||||
\(509\) | 15.5721 | + | 34.0981i | 0.690220 | + | 1.51137i | 0.851439 | + | 0.524453i | \(0.175730\pi\) |
−0.161219 | + | 0.986919i | \(0.551543\pi\) | |||||||
\(510\) | 0.730531 | + | 0.214503i | 0.0323484 | + | 0.00949836i | ||||
\(511\) | −7.51526 | − | 8.67307i | −0.332455 | − | 0.383674i | ||||
\(512\) | 111.142 | − | 32.6343i | 4.91184 | − | 1.44225i | ||||
\(513\) | 1.29021 | + | 0.829169i | 0.0569642 | + | 0.0366087i | ||||
\(514\) | −2.58995 | + | 5.67121i | −0.114238 | + | 0.250146i | ||||
\(515\) | 5.83219 | − | 6.73071i | 0.256997 | − | 0.296590i | ||||
\(516\) | 2.21363 | − | 1.42262i | 0.0974498 | − | 0.0626272i | ||||
\(517\) | 0.699605 | + | 4.86586i | 0.0307686 | + | 0.214000i | ||||
\(518\) | 2.48913 | + | 17.3123i | 0.109366 | + | 0.760657i | ||||
\(519\) | 0.00304968 | − | 0.00195991i | 0.000133866 | − | 8.60305e-5i | ||||
\(520\) | 30.3998 | − | 35.0833i | 1.33312 | − | 1.53850i | ||||
\(521\) | −15.2664 | + | 33.4287i | −0.668831 | + | 1.46454i | 0.205227 | + | 0.978714i | \(0.434207\pi\) |
−0.874058 | + | 0.485822i | \(0.838520\pi\) | |||||||
\(522\) | −6.91236 | − | 4.44230i | −0.302546 | − | 0.194434i | ||||
\(523\) | −11.7544 | + | 3.45139i | −0.513983 | + | 0.150919i | −0.528430 | − | 0.848977i | \(-0.677219\pi\) |
0.0144476 | + | 0.999896i | \(0.495401\pi\) | |||||||
\(524\) | 41.1885 | + | 47.5340i | 1.79933 | + | 2.07653i | ||||
\(525\) | −0.0755632 | − | 0.0221874i | −0.00329785 | − | 0.000968336i | ||||
\(526\) | −3.43757 | − | 7.52724i | −0.149885 | − | 0.328203i | ||||
\(527\) | −1.47963 | + | 10.2911i | −0.0644537 | + | 0.448286i | ||||
\(528\) | 1.33040 | 0.0578982 | ||||||||
\(529\) | −20.5890 | − | 10.2515i | −0.895174 | − | 0.445716i | ||||
\(530\) | −2.48452 | −0.107921 | ||||||||
\(531\) | 1.03199 | − | 7.17762i | 0.0447844 | − | 0.311482i | ||||
\(532\) | −14.6038 | − | 31.9778i | −0.633155 | − | 1.38642i | ||||
\(533\) | 11.0667 | + | 3.24948i | 0.479352 | + | 0.140750i | ||||
\(534\) | −1.66284 | − | 1.91902i | −0.0719582 | − | 0.0830442i | ||||
\(535\) | 6.05375 | − | 1.77754i | 0.261727 | − | 0.0768498i | ||||
\(536\) | −103.019 | − | 66.2062i | −4.44974 | − | 2.85967i | ||||
\(537\) | 0.138620 | − | 0.303537i | 0.00598192 | − | 0.0130986i | ||||
\(538\) | 2.06214 | − | 2.37984i | 0.0889053 | − | 0.102602i | ||||
\(539\) | −5.77228 | + | 3.70962i | −0.248630 | + | 0.159785i | ||||
\(540\) | 0.279607 | + | 1.94471i | 0.0120324 | + | 0.0836870i | ||||
\(541\) | 0.827414 | + | 5.75479i | 0.0355733 | + | 0.247418i | 0.999847 | − | 0.0174901i | \(-0.00556757\pi\) |
−0.964274 | + | 0.264908i | \(0.914658\pi\) | |||||||
\(542\) | −34.5954 | + | 22.2331i | −1.48600 | + | 0.954993i | ||||
\(543\) | −0.338566 | + | 0.390726i | −0.0145293 | + | 0.0167677i | ||||
\(544\) | −54.4325 | + | 119.190i | −2.33377 | + | 5.11025i | ||||
\(545\) | 0.792711 | + | 0.509445i | 0.0339560 | + | 0.0218222i | ||||
\(546\) | 0.942424 | − | 0.276721i | 0.0403320 | − | 0.0118425i | ||||
\(547\) | −3.18432 | − | 3.67490i | −0.136152 | − | 0.157127i | 0.683579 | − | 0.729876i | \(-0.260422\pi\) |
−0.819731 | + | 0.572749i | \(0.805877\pi\) | |||||||
\(548\) | −7.85762 | − | 2.30721i | −0.335661 | − | 0.0985590i | ||||
\(549\) | 10.1021 | + | 22.1205i | 0.431147 | + | 0.944080i | ||||
\(550\) | 0.531216 | − | 3.69469i | 0.0226511 | − | 0.157542i | ||||
\(551\) | 4.40733 | 0.187759 | ||||||||
\(552\) | 0.650229 | − | 2.76476i | 0.0276756 | − | 0.117676i | ||||
\(553\) | 18.7619 | 0.797837 | ||||||||
\(554\) | 1.90176 | − | 13.2271i | 0.0807982 | − | 0.561964i | ||||
\(555\) | 0.108844 | + | 0.238334i | 0.00462016 | + | 0.0101167i | ||||
\(556\) | 9.35366 | + | 2.74648i | 0.396683 | + | 0.116477i | ||||
\(557\) | −12.6801 | − | 14.6337i | −0.537274 | − | 0.620048i | 0.420596 | − | 0.907248i | \(-0.361821\pi\) |
−0.957871 | + | 0.287200i | \(0.907275\pi\) | |||||||
\(558\) | −17.3604 | + | 5.09747i | −0.734923 | + | 0.215793i | ||||
\(559\) | 30.3243 | + | 19.4882i | 1.28258 | + | 0.824264i | ||||
\(560\) | 9.88369 | − | 21.6423i | 0.417662 | − | 0.914552i | ||||
\(561\) | −0.241008 | + | 0.278138i | −0.0101754 | + | 0.0117430i | ||||
\(562\) | −6.42758 | + | 4.13076i | −0.271131 | + | 0.174245i | ||||
\(563\) | −5.44167 | − | 37.8476i | −0.229339 | − | 1.59509i | −0.700903 | − | 0.713256i | \(-0.747220\pi\) |
0.471564 | − | 0.881832i | \(-0.343689\pi\) | |||||||
\(564\) | 0.170641 | + | 1.18683i | 0.00718528 | + | 0.0499747i | ||||
\(565\) | −7.54925 | + | 4.85161i | −0.317599 | + | 0.204109i | ||||
\(566\) | −36.7223 | + | 42.3798i | −1.54355 | + | 1.78136i | ||||
\(567\) | 5.12552 | − | 11.2233i | 0.215252 | − | 0.471335i | ||||
\(568\) | −65.7572 | − | 42.2596i | −2.75911 | − | 1.77317i | ||||
\(569\) | 43.3225 | − | 12.7206i | 1.81618 | − | 0.533277i | 0.817109 | − | 0.576483i | \(-0.195575\pi\) |
0.999066 | + | 0.0432061i | \(0.0137572\pi\) | |||||||
\(570\) | −0.465411 | − | 0.537113i | −0.0194939 | − | 0.0224972i | ||||
\(571\) | −1.95923 | − | 0.575282i | −0.0819912 | − | 0.0240748i | 0.240480 | − | 0.970654i | \(-0.422695\pi\) |
−0.322471 | + | 0.946579i | \(0.604513\pi\) | |||||||
\(572\) | 14.3304 | + | 31.3792i | 0.599185 | + | 1.31203i | ||||
\(573\) | −0.111208 | + | 0.773470i | −0.00464579 | + | 0.0323122i | ||||
\(574\) | 9.82232 | 0.409976 | ||||||||
\(575\) | −4.46469 | − | 1.75117i | −0.186190 | − | 0.0730287i | ||||
\(576\) | −124.354 | −5.18141 | ||||||||
\(577\) | 4.53084 | − | 31.5127i | 0.188621 | − | 1.31189i | −0.646961 | − | 0.762523i | \(-0.723960\pi\) |
0.835582 | − | 0.549366i | \(-0.185131\pi\) | |||||||
\(578\) | −6.80864 | − | 14.9088i | −0.283202 | − | 0.620126i | ||||
\(579\) | −0.789497 | − | 0.231817i | −0.0328104 | − | 0.00963400i | ||||
\(580\) | 3.69734 | + | 4.26695i | 0.153523 | + | 0.177176i | ||||
\(581\) | 5.73963 | − | 1.68531i | 0.238120 | − | 0.0699183i | ||||
\(582\) | −2.30666 | − | 1.48240i | −0.0956140 | − | 0.0614474i | ||||
\(583\) | 0.498898 | − | 1.09243i | 0.0206622 | − | 0.0452440i | ||||
\(584\) | 56.5143 | − | 65.2210i | 2.33858 | − | 2.69887i | ||||
\(585\) | −11.3147 | + | 7.27150i | −0.467804 | + | 0.300639i | ||||
\(586\) | −8.12532 | − | 56.5129i | −0.335654 | − | 2.33453i | ||||
\(587\) | 4.71425 | + | 32.7884i | 0.194578 | + | 1.35332i | 0.819700 | + | 0.572793i | \(0.194140\pi\) |
−0.625122 | + | 0.780527i | \(0.714951\pi\) | |||||||
\(588\) | −1.40792 | + | 0.904816i | −0.0580617 | + | 0.0373140i | ||||
\(589\) | 6.35540 | − | 7.33453i | 0.261870 | − | 0.302214i | ||||
\(590\) | −2.79336 | + | 6.11660i | −0.115001 | + | 0.251816i | ||||
\(591\) | 0.938942 | + | 0.603421i | 0.0386229 | + | 0.0248214i | ||||
\(592\) | −75.9506 | + | 22.3011i | −3.12155 | + | 0.916569i | ||||
\(593\) | −17.7135 | − | 20.4425i | −0.727407 | − | 0.839473i | 0.264770 | − | 0.964312i | \(-0.414704\pi\) |
−0.992177 | + | 0.124839i | \(0.960159\pi\) | |||||||
\(594\) | −1.22972 | − | 0.361079i | −0.0504561 | − | 0.0148152i | ||||
\(595\) | 2.73414 | + | 5.98693i | 0.112089 | + | 0.245440i | ||||
\(596\) | 6.47512 | − | 45.0355i | 0.265231 | − | 1.84473i | ||||
\(597\) | −1.17131 | −0.0479385 | ||||||||
\(598\) | 58.6518 | − | 11.7314i | 2.39845 | − | 0.479731i | ||||
\(599\) | −13.6754 | −0.558761 | −0.279380 | − | 0.960181i | \(-0.590129\pi\) | ||||
−0.279380 | + | 0.960181i | \(0.590129\pi\) | |||||||
\(600\) | 0.0842818 | − | 0.586193i | 0.00344079 | − | 0.0239312i | ||||
\(601\) | −15.9112 | − | 34.8406i | −0.649030 | − | 1.42118i | −0.892401 | − | 0.451243i | \(-0.850981\pi\) |
0.243371 | − | 0.969933i | \(-0.421747\pi\) | |||||||
\(602\) | 29.4539 | + | 8.64844i | 1.20045 | + | 0.352484i | ||||
\(603\) | 23.2344 | + | 26.8139i | 0.946178 | + | 1.09195i | ||||
\(604\) | −55.1490 | + | 16.1932i | −2.24398 | + | 0.658892i | ||||
\(605\) | −7.73592 | − | 4.97157i | −0.314510 | − | 0.202123i | ||||
\(606\) | −0.624772 | + | 1.36806i | −0.0253796 | + | 0.0555736i | ||||
\(607\) | −29.8121 | + | 34.4050i | −1.21004 | + | 1.39646i | −0.315821 | + | 0.948819i | \(0.602280\pi\) |
−0.894215 | + | 0.447637i | \(0.852266\pi\) | |||||||
\(608\) | 102.895 | − | 66.1265i | 4.17294 | − | 2.68178i | ||||
\(609\) | 0.0110587 | + | 0.0769150i | 0.000448121 | + | 0.00311675i | ||||
\(610\) | −3.20923 | − | 22.3207i | −0.129938 | − | 0.903737i | ||||
\(611\) | −13.8180 | + | 8.88027i | −0.559015 | + | 0.359257i | ||||
\(612\) | 53.7340 | − | 62.0123i | 2.17207 | − | 2.50670i | ||||
\(613\) | −2.60443 | + | 5.70291i | −0.105192 | + | 0.230339i | −0.954908 | − | 0.296903i | \(-0.904046\pi\) |
0.849716 | + | 0.527241i | \(0.176774\pi\) | |||||||
\(614\) | −55.3290 | − | 35.5578i | −2.23290 | − | 1.43500i | ||||
\(615\) | 0.141182 | − | 0.0414548i | 0.00569301 | − | 0.00167162i | ||||
\(616\) | 12.5140 | + | 14.4419i | 0.504202 | + | 0.581880i | ||||
\(617\) | 23.5938 | + | 6.92777i | 0.949851 | + | 0.278901i | 0.719725 | − | 0.694260i | \(-0.244268\pi\) |
0.230126 | + | 0.973161i | \(0.426086\pi\) | |||||||
\(618\) | 0.588657 | + | 1.28898i | 0.0236792 | + | 0.0518503i | ||||
\(619\) | 3.41152 | − | 23.7276i | 0.137120 | − | 0.953694i | −0.798829 | − | 0.601558i | \(-0.794547\pi\) |
0.935949 | − | 0.352135i | \(-0.114544\pi\) | |||||||
\(620\) | 12.4325 | 0.499301 | ||||||||
\(621\) | −0.813317 | + | 1.43180i | −0.0326373 | + | 0.0574562i | ||||
\(622\) | −88.0264 | −3.52954 | ||||||||
\(623\) | 3.12388 | − | 21.7270i | 0.125155 | − | 0.870475i | ||||
\(624\) | 1.84663 | + | 4.04354i | 0.0739242 | + | 0.161871i | ||||
\(625\) | −0.959493 | − | 0.281733i | −0.0383797 | − | 0.0112693i | ||||
\(626\) | 23.4284 | + | 27.0379i | 0.936388 | + | 1.08065i | ||||
\(627\) | 0.329622 | − | 0.0967857i | 0.0131638 | − | 0.00386525i | ||||
\(628\) | −47.7659 | − | 30.6973i | −1.90607 | − | 1.22495i | ||||
\(629\) | 9.09647 | − | 19.9185i | 0.362700 | − | 0.794202i | ||||
\(630\) | −7.50069 | + | 8.65626i | −0.298835 | + | 0.344874i | ||||
\(631\) | 36.2486 | − | 23.2956i | 1.44303 | − | 0.927382i | 0.443518 | − | 0.896265i | \(-0.353730\pi\) |
0.999516 | − | 0.0311161i | \(-0.00990617\pi\) | |||||||
\(632\) | 20.0790 | + | 139.652i | 0.798699 | + | 5.55508i | ||||
\(633\) | −0.143283 | − | 0.996553i | −0.00569497 | − | 0.0396094i | ||||
\(634\) | 33.0289 | − | 21.2264i | 1.31174 | − | 0.843007i | ||||
\(635\) | −1.58093 | + | 1.82449i | −0.0627373 | + | 0.0724027i | ||||
\(636\) | 0.121686 | − | 0.266456i | 0.00482518 | − | 0.0105657i | ||||
\(637\) | −19.2869 | − | 12.3949i | −0.764175 | − | 0.491105i | ||||
\(638\) | −3.53385 | + | 1.03763i | −0.139907 | + | 0.0410803i | ||||
\(639\) | 14.8306 | + | 17.1154i | 0.586689 | + | 0.677075i | ||||
\(640\) | 58.0955 | + | 17.0584i | 2.29642 | + | 0.674291i | ||||
\(641\) | 16.5774 | + | 36.2995i | 0.654769 | + | 1.43374i | 0.887317 | + | 0.461159i | \(0.152566\pi\) |
−0.232549 | + | 0.972585i | \(0.574706\pi\) | |||||||
\(642\) | −0.142866 | + | 0.993658i | −0.00563849 | + | 0.0392165i | ||||
\(643\) | −1.64545 | −0.0648904 | −0.0324452 | − | 0.999474i | \(-0.510329\pi\) | ||||
−0.0324452 | + | 0.999474i | \(0.510329\pi\) | |||||||
\(644\) | 33.4268 | − | 17.5305i | 1.31720 | − | 0.690798i | ||||
\(645\) | 0.459859 | 0.0181069 | ||||||||
\(646\) | −8.45293 | + | 58.7914i | −0.332576 | + | 2.31312i | ||||
\(647\) | 10.7513 | + | 23.5421i | 0.422678 | + | 0.925535i | 0.994459 | + | 0.105128i | \(0.0335254\pi\) |
−0.571781 | + | 0.820406i | \(0.693747\pi\) | |||||||
\(648\) | 89.0251 | + | 26.1401i | 3.49724 | + | 1.02688i | ||||
\(649\) | −2.12853 | − | 2.45645i | −0.0835521 | − | 0.0964243i | ||||
\(650\) | 11.9668 | − | 3.51377i | 0.469376 | − | 0.137821i | ||||
\(651\) | 0.143946 | + | 0.0925084i | 0.00564168 | + | 0.00362569i | ||||
\(652\) | 5.64325 | − | 12.3570i | 0.221007 | − | 0.483937i | ||||
\(653\) | 22.6600 | − | 26.1510i | 0.886754 | − | 1.02337i | −0.112803 | − | 0.993617i | \(-0.535983\pi\) |
0.999557 | − | 0.0297518i | \(-0.00947168\pi\) | |||||||
\(654\) | −0.126128 | + | 0.0810577i | −0.00493200 | + | 0.00316961i | ||||
\(655\) | 1.56431 | + | 10.8800i | 0.0611226 | + | 0.425117i | ||||
\(656\) | 6.32639 | + | 44.0010i | 0.247004 | + | 1.71795i | ||||
\(657\) | −21.0344 | + | 13.5180i | −0.820629 | + | 0.527386i | ||||
\(658\) | −9.16018 | + | 10.5714i | −0.357101 | + | 0.412116i | ||||
\(659\) | 4.61030 | − | 10.0951i | 0.179592 | − | 0.393251i | −0.798331 | − | 0.602219i | \(-0.794283\pi\) |
0.977922 | + | 0.208968i | \(0.0670105\pi\) | |||||||
\(660\) | 0.370224 | + | 0.237929i | 0.0144110 | + | 0.00926136i | ||||
\(661\) | 29.5705 | − | 8.68267i | 1.15016 | − | 0.337717i | 0.349557 | − | 0.936915i | \(-0.386332\pi\) |
0.800601 | + | 0.599198i | \(0.204514\pi\) | |||||||
\(662\) | −56.8357 | − | 65.5919i | −2.20898 | − | 2.54930i | ||||
\(663\) | −1.17989 | − | 0.346446i | −0.0458229 | − | 0.0134548i | ||||
\(664\) | 18.6870 | + | 40.9188i | 0.725196 | + | 1.58796i | ||||
\(665\) | 0.874338 | − | 6.08115i | 0.0339054 | − | 0.235817i | ||||
\(666\) | 38.1070 | 1.47662 | ||||||||
\(667\) | 0.258299 | + | 4.72500i | 0.0100014 | + | 0.182953i | ||||
\(668\) | 22.6132 | 0.874930 | ||||||||
\(669\) | −0.0673934 | + | 0.468731i | −0.00260558 | + | 0.0181222i | ||||
\(670\) | −13.6674 | − | 29.9274i | −0.528017 | − | 1.15620i | ||||
\(671\) | 10.4587 | + | 3.07095i | 0.403754 | + | 0.118553i | ||||
\(672\) | 1.41219 | + | 1.62976i | 0.0544765 | + | 0.0628692i | ||||
\(673\) | −8.66804 | + | 2.54517i | −0.334128 | + | 0.0981090i | −0.444493 | − | 0.895782i | \(-0.646616\pi\) |
0.110365 | + | 0.993891i | \(0.464798\pi\) | |||||||
\(674\) | −55.3595 | − | 35.5774i | −2.13237 | − | 1.37039i | ||||
\(675\) | −0.142635 | + | 0.312327i | −0.00549002 | + | 0.0120215i | ||||
\(676\) | −26.7683 | + | 30.8922i | −1.02955 | + | 1.18816i | ||||
\(677\) | 8.41490 | − | 5.40793i | 0.323411 | − | 0.207844i | −0.368853 | − | 0.929488i | \(-0.620250\pi\) |
0.692264 | + | 0.721644i | \(0.256613\pi\) | |||||||
\(678\) | −0.203200 | − | 1.41329i | −0.00780385 | − | 0.0542770i | ||||
\(679\) | −3.37324 | − | 23.4614i | −0.129453 | − | 0.900367i | ||||
\(680\) | −41.6371 | + | 26.7585i | −1.59671 | + | 1.02614i | ||||
\(681\) | −0.170325 | + | 0.196566i | −0.00652688 | + | 0.00753242i | ||||
\(682\) | −3.36905 | + | 7.37718i | −0.129007 | + | 0.282487i | ||||
\(683\) | 35.6932 | + | 22.9386i | 1.36576 | + | 0.877722i | 0.998624 | − | 0.0524448i | \(-0.0167014\pi\) |
0.367138 | + | 0.930167i | \(0.380338\pi\) | |||||||
\(684\) | −73.4908 | + | 21.5788i | −2.80999 | + | 0.825088i | ||||
\(685\) | −0.937225 | − | 1.08162i | −0.0358095 | − | 0.0413264i | ||||
\(686\) | −44.4045 | − | 13.0383i | −1.69537 | − | 0.497806i | ||||
\(687\) | −0.220240 | − | 0.482259i | −0.00840269 | − | 0.0183993i | ||||
\(688\) | −19.7717 | + | 137.515i | −0.753787 | + | 5.24271i | ||||
\(689\) | 4.01277 | 0.152874 | ||||||||
\(690\) | 0.548549 | − | 0.530434i | 0.0208829 | − | 0.0201933i | ||||
\(691\) | 15.2544 | 0.580306 | 0.290153 | − | 0.956980i | \(-0.406294\pi\) | ||||
0.290153 | + | 0.956980i | \(0.406294\pi\) | |||||||
\(692\) | −0.0515587 | + | 0.358599i | −0.00195997 | + | 0.0136319i | ||||
\(693\) | −2.29996 | − | 5.03622i | −0.0873684 | − | 0.191310i | ||||
\(694\) | 54.1881 | + | 15.9111i | 2.05695 | + | 0.603976i | ||||
\(695\) | 1.11567 | + | 1.28755i | 0.0423196 | + | 0.0488395i | ||||
\(696\) | −0.560675 | + | 0.164629i | −0.0212523 | + | 0.00624024i | ||||
\(697\) | −10.3451 | − | 6.64839i | −0.391848 | − | 0.251826i | ||||
\(698\) | 22.6916 | − | 49.6877i | 0.858890 | − | 1.88071i | ||||
\(699\) | 0.0588432 | − | 0.0679087i | 0.00222565 | − | 0.00256854i | ||||
\(700\) | 6.62094 | − | 4.25502i | 0.250248 | − | 0.160825i | ||||
\(701\) | −3.79143 | − | 26.3699i | −0.143200 | − | 0.995979i | −0.927026 | − | 0.374998i | \(-0.877643\pi\) |
0.783826 | − | 0.620981i | \(-0.213266\pi\) | |||||||
\(702\) | −0.609438 | − | 4.23874i | −0.0230018 | − | 0.159981i | ||||
\(703\) | −17.1952 | + | 11.0507i | −0.648531 | + | 0.416785i | ||||
\(704\) | −36.5019 | + | 42.1254i | −1.37572 | + | 1.58766i | ||||
\(705\) | −0.0870484 | + | 0.190609i | −0.00327843 | + | 0.00717877i | ||||
\(706\) | −47.2721 | − | 30.3799i | −1.77911 | − | 1.14336i | ||||
\(707\) | −12.4745 | + | 3.66284i | −0.469151 | + | 0.137755i | ||||
\(708\) | −0.519171 | − | 0.599155i | −0.0195116 | − | 0.0225176i | ||||
\(709\) | −7.34445 | − | 2.15652i | −0.275827 | − | 0.0809900i | 0.140894 | − | 0.990025i | \(-0.455002\pi\) |
−0.416720 | + | 0.909035i | \(0.636821\pi\) | |||||||
\(710\) | −8.72393 | − | 19.1027i | −0.327403 | − | 0.716913i | ||||
\(711\) | 5.81748 | − | 40.4614i | 0.218172 | − | 1.51742i | ||||
\(712\) | 165.066 | 6.18612 | ||||||||
\(713\) | 8.23564 | + | 6.38362i | 0.308427 | + | 0.239069i | ||||
\(714\) | −1.04721 | −0.0391910 | ||||||||
\(715\) | −0.857971 | + | 5.96732i | −0.0320863 | + | 0.223165i | ||||
\(716\) | 13.8533 | + | 30.3344i | 0.517721 | + | 1.13365i | ||||
\(717\) | −1.03718 | − | 0.304544i | −0.0387343 | − | 0.0113734i | ||||
\(718\) | 21.9373 | + | 25.3170i | 0.818694 | + | 0.944824i | ||||
\(719\) | −1.59535 | + | 0.468438i | −0.0594967 | + | 0.0174698i | −0.311345 | − | 0.950297i | \(-0.600780\pi\) |
0.251849 | + | 0.967767i | \(0.418961\pi\) | |||||||
\(720\) | −43.6085 | − | 28.0255i | −1.62519 | − | 1.04445i | ||||
\(721\) | −5.08866 | + | 11.1426i | −0.189512 | + | 0.414973i | ||||
\(722\) | 1.73194 | − | 1.99877i | 0.0644563 | − | 0.0743865i | ||||
\(723\) | −0.757487 | + | 0.486807i | −0.0281712 | + | 0.0181046i | ||||
\(724\) | −7.35308 | − | 51.1418i | −0.273275 | − | 1.90067i | ||||
\(725\) | 0.140422 | + | 0.976658i | 0.00521515 | + | 0.0362722i | ||||
\(726\) | 1.23086 | − | 0.791027i | 0.0456815 | − | 0.0293577i | ||||
\(727\) | 10.1840 | − | 11.7529i | 0.377702 | − | 0.435892i | −0.534790 | − | 0.844985i | \(-0.679609\pi\) |
0.912493 | + | 0.409093i | \(0.134155\pi\) | |||||||
\(728\) | −26.5242 | + | 58.0800i | −0.983054 | + | 2.15259i | ||||
\(729\) | −22.5651 | − | 14.5017i | −0.835743 | − | 0.537099i | ||||
\(730\) | 22.2467 | − | 6.53221i | 0.823386 | − | 0.241768i | ||||
\(731\) | −25.1677 | − | 29.0451i | −0.930860 | − | 1.07427i | ||||
\(732\) | 2.55099 | + | 0.749038i | 0.0942873 | + | 0.0276852i | ||||
\(733\) | −10.6065 | − | 23.2251i | −0.391762 | − | 0.857839i | −0.998040 | − | 0.0625857i | \(-0.980065\pi\) |
0.606278 | − | 0.795253i | \(-0.292662\pi\) | |||||||
\(734\) | −11.6408 | + | 80.9632i | −0.429668 | + | 2.98841i | ||||
\(735\) | −0.292481 | −0.0107883 | ||||||||
\(736\) | 76.9230 | + | 106.436i | 2.83542 | + | 3.92327i | ||||
\(737\) | 15.9034 | 0.585809 | ||||||||
\(738\) | 3.04559 | − | 21.1826i | 0.112110 | − | 0.779741i | ||||
\(739\) | 14.1984 | + | 31.0902i | 0.522298 | + | 1.14367i | 0.968562 | + | 0.248772i | \(0.0800269\pi\) |
−0.446264 | + | 0.894901i | \(0.647246\pi\) | |||||||
\(740\) | −25.1239 | − | 7.37704i | −0.923573 | − | 0.271186i | ||||
\(741\) | 0.751688 | + | 0.867494i | 0.0276140 | + | 0.0318682i | ||||
\(742\) | 3.27886 | − | 0.962762i | 0.120371 | − | 0.0353441i | ||||
\(743\) | 3.08210 | + | 1.98074i | 0.113071 | + | 0.0726664i | 0.595954 | − | 0.803018i | \(-0.296774\pi\) |
−0.482883 | + | 0.875685i | \(0.660410\pi\) | |||||||
\(744\) | −0.534527 | + | 1.17045i | −0.0195967 | + | 0.0429108i | ||||
\(745\) | 5.20706 | − | 6.00927i | 0.190772 | − | 0.220163i | ||||
\(746\) | −69.6277 | + | 44.7470i | −2.54925 | + | 1.63831i | ||||
\(747\) | −1.85481 | − | 12.9005i | −0.0678640 | − | 0.472005i | ||||
\(748\) | −5.23429 | − | 36.4053i | −0.191385 | − | 1.33111i | ||||
\(749\) | −7.30043 | + | 4.69170i | −0.266752 | + | 0.171431i | ||||
\(750\) | 0.104195 | − | 0.120247i | 0.00380466 | − | 0.00439081i | ||||
\(751\) | −11.4969 | + | 25.1746i | −0.419527 | + | 0.918635i | 0.575385 | + | 0.817883i | \(0.304852\pi\) |
−0.994912 | + | 0.100752i | \(0.967875\pi\) | |||||||
\(752\) | −53.2567 | − | 34.2260i | −1.94207 | − | 1.24809i | ||||
\(753\) | −0.345903 | + | 0.101566i | −0.0126054 | + | 0.00370128i | ||||
\(754\) | −8.05880 | − | 9.30035i | −0.293484 | − | 0.338699i | ||||
\(755\) | −9.63791 | − | 2.82995i | −0.350760 | − | 0.102992i | ||||
\(756\) | −1.12258 | − | 2.45812i | −0.0408280 | − | 0.0894009i | ||||
\(757\) | −1.90508 | + | 13.2502i | −0.0692415 | + | 0.481585i | 0.925465 | + | 0.378832i | \(0.123674\pi\) |
−0.994707 | + | 0.102753i | \(0.967235\pi\) | |||||||
\(758\) | 7.62119 | 0.276814 | ||||||||
\(759\) | 0.123080 | + | 0.347707i | 0.00446751 | + | 0.0126210i | ||||
\(760\) | 46.2002 | 1.67586 | ||||||||
\(761\) | −5.45664 | + | 37.9518i | −0.197803 | + | 1.37575i | 0.612838 | + | 0.790208i | \(0.290028\pi\) |
−0.810641 | + | 0.585543i | \(0.800881\pi\) | |||||||
\(762\) | −0.159567 | − | 0.349403i | −0.00578051 | − | 0.0126575i | ||||
\(763\) | −1.24357 | − | 0.365144i | −0.0450201 | − | 0.0132191i | ||||
\(764\) | −51.1399 | − | 59.0186i | −1.85018 | − | 2.13522i | ||||
\(765\) | 13.7590 | − | 4.04001i | 0.497459 | − | 0.146067i | ||||
\(766\) | 19.5145 | + | 12.5412i | 0.705086 | + | 0.453131i | ||||
\(767\) | 4.51157 | − | 9.87896i | 0.162903 | − | 0.356709i | ||||
\(768\) | −3.19693 | + | 3.68945i | −0.115359 | + | 0.133132i | ||||
\(769\) | 1.99895 | − | 1.28464i | 0.0720838 | − | 0.0463255i | −0.504103 | − | 0.863644i | \(-0.668177\pi\) |
0.576186 | + | 0.817318i | \(0.304540\pi\) | |||||||
\(770\) | 0.730651 | + | 5.08179i | 0.0263308 | + | 0.183135i | ||||
\(771\) | −0.0182819 | − | 0.127154i | −0.000658408 | − | 0.00457933i | ||||
\(772\) | 69.1768 | − | 44.4572i | 2.48973 | − | 1.60005i | ||||
\(773\) | −1.74108 | + | 2.00931i | −0.0626221 | + | 0.0722698i | −0.786196 | − | 0.617977i | \(-0.787953\pi\) |
0.723574 | + | 0.690247i | \(0.242498\pi\) | |||||||
\(774\) | 27.7837 | − | 60.8379i | 0.998666 | − | 2.18677i | ||||
\(775\) | 1.82781 | + | 1.17466i | 0.0656568 | + | 0.0421951i | ||||
\(776\) | 171.023 | − | 50.2169i | 6.13937 | − | 1.80268i | ||||
\(777\) | −0.235998 | − | 0.272356i | −0.00846639 | − | 0.00977073i | ||||
\(778\) | 50.4650 | + | 14.8179i | 1.80926 | + | 0.531246i | ||||
\(779\) | 4.76848 | + | 10.4415i | 0.170849 | + | 0.374106i | ||||
\(780\) | −0.209268 | + | 1.45549i | −0.00749300 | + | 0.0521149i | ||||
\(781\) | 10.1512 | 0.363238 | ||||||||
\(782\) | −63.5243 | − | 5.61661i | −2.27162 | − | 0.200850i | ||||
\(783\) | 0.338789 | 0.0121073 | ||||||||
\(784\) | 12.5752 | − | 87.4625i | 0.449115 | − | 3.12366i | ||||
\(785\) | −4.12210 | − | 9.02614i | −0.147124 | − | 0.322157i | ||||
\(786\) | −1.67807 | − | 0.492727i | −0.0598549 | − | 0.0175750i | ||||
\(787\) | 4.27068 | + | 4.92863i | 0.152233 | + | 0.175687i | 0.826744 | − | 0.562579i | \(-0.190191\pi\) |
−0.674510 | + | 0.738265i | \(0.735645\pi\) | |||||||
\(788\) | −107.023 | + | 31.4249i | −3.81255 | + | 1.11946i | ||||
\(789\) | 0.143436 | + | 0.0921810i | 0.00510647 | + | 0.00328173i | ||||
\(790\) | −15.7466 | + | 34.4803i | −0.560240 | + | 1.22675i | ||||
\(791\) | 8.08285 | − | 9.32810i | 0.287393 | − | 0.331669i | ||||
\(792\) | 35.0252 | − | 22.5093i | 1.24457 | − | 0.799834i | ||||
\(793\) | 5.18324 | + | 36.0502i | 0.184062 | + | 1.28018i | ||||
\(794\) | 4.78837 | + | 33.3038i | 0.169933 | + | 1.18191i | ||||
\(795\) | 0.0430658 | − | 0.0276767i | 0.00152739 | − | 0.000981592i | ||||
\(796\) | 76.6557 | − | 88.4654i | 2.71699 | − | 3.13557i | ||||
\(797\) | 15.8399 | − | 34.6845i | 0.561077 | − | 1.22859i | −0.390337 | − | 0.920672i | \(-0.627642\pi\) |
0.951414 | − | 0.307915i | \(-0.0996311\pi\) | |||||||
\(798\) | 0.822343 | + | 0.528488i | 0.0291106 | + | 0.0187083i | ||||
\(799\) | 16.8031 | − | 4.93384i | 0.594452 | − | 0.174547i | ||||
\(800\) | 17.9319 | + | 20.6945i | 0.633987 | + | 0.731660i | ||||
\(801\) | −45.8874 | − | 13.4737i | −1.62135 | − | 0.476071i | ||||
\(802\) | −16.1993 | − | 35.4715i | −0.572017 | − | 1.25254i | ||||
\(803\) | −1.59500 | + | 11.0935i | −0.0562862 | + | 0.391479i | ||||
\(804\) | 3.87901 | 0.136802 | ||||||||
\(805\) | 6.57070 | + | 0.580960i | 0.231587 | + | 0.0204762i | ||||
\(806\) | −27.0981 | −0.954491 | ||||||||
\(807\) | −0.00923384 | + | 0.0642228i | −0.000325047 | + | 0.00226075i | ||||
\(808\) | −40.6142 | − | 88.9327i | −1.42880 | − | 3.12864i | ||||
\(809\) | 29.2033 | + | 8.57488i | 1.02673 | + | 0.301477i | 0.751383 | − | 0.659867i | \(-0.229387\pi\) |
0.275352 | + | 0.961343i | \(0.411205\pi\) | |||||||
\(810\) | 16.3242 | + | 18.8392i | 0.573576 | + | 0.661942i | ||||
\(811\) | 39.0572 | − | 11.4682i | 1.37148 | − | 0.402704i | 0.488687 | − | 0.872459i | \(-0.337476\pi\) |
0.882797 | + | 0.469755i | \(0.155658\pi\) | |||||||
\(812\) | −6.53289 | − | 4.19844i | −0.229260 | − | 0.147336i | ||||
\(813\) | 0.351994 | − | 0.770760i | 0.0123450 | − | 0.0270317i | ||||
\(814\) | 11.1856 | − | 12.9089i | 0.392057 | − | 0.452457i | ||||
\(815\) | 1.99719 | − | 1.28352i | 0.0699586 | − | 0.0449596i | ||||
\(816\) | −0.674494 | − | 4.69121i | −0.0236120 | − | 0.164225i | ||||
\(817\) | 5.10546 | + | 35.5093i | 0.178618 | + | 1.24231i | ||||
\(818\) | −48.9321 | + | 31.4467i | −1.71087 | + | 1.09951i | ||||
\(819\) | 12.1144 | − | 13.9808i | 0.423312 | − | 0.488528i | ||||
\(820\) | −6.10864 | + | 13.3761i | −0.213323 | + | 0.467112i | ||||
\(821\) | 8.18866 | + | 5.26253i | 0.285786 | + | 0.183664i | 0.675678 | − | 0.737197i | \(-0.263851\pi\) |
−0.389892 | + | 0.920861i | \(0.627487\pi\) | |||||||
\(822\) | 0.218491 | − | 0.0641548i | 0.00762076 | − | 0.00223766i | ||||
\(823\) | 13.4911 | + | 15.5695i | 0.470270 | + | 0.542720i | 0.940487 | − | 0.339831i | \(-0.110370\pi\) |
−0.470217 | + | 0.882551i | \(0.655824\pi\) | |||||||
\(824\) | −88.3849 | − | 25.9521i | −3.07903 | − | 0.904086i | ||||
\(825\) | 0.0319496 | + | 0.0699599i | 0.00111234 | + | 0.00243569i | ||||
\(826\) | 1.31623 | − | 9.15461i | 0.0457977 | − | 0.318530i | ||||
\(827\) | −18.6033 | −0.646900 | −0.323450 | − | 0.946245i | \(-0.604843\pi\) | ||||
−0.323450 | + | 0.946245i | \(0.604843\pi\) | |||||||
\(828\) | −27.4412 | − | 77.5230i | −0.953648 | − | 2.69411i | ||||
\(829\) | −37.9511 | −1.31809 | −0.659047 | − | 0.752102i | \(-0.729040\pi\) | ||||
−0.659047 | + | 0.752102i | \(0.729040\pi\) | |||||||
\(830\) | −1.71997 | + | 11.9627i | −0.0597010 | + | 0.415230i | ||||
\(831\) | 0.114380 | + | 0.250458i | 0.00396781 | + | 0.00868828i | ||||
\(832\) | −178.699 | − | 52.4709i | −6.19529 | − | 1.81910i | ||||
\(833\) | 16.0072 | + | 18.4733i | 0.554617 | + | 0.640062i | ||||
\(834\) | −0.260090 | + | 0.0763694i | −0.00900619 | + | 0.00264446i | ||||
\(835\) | 3.32456 | + | 2.13656i | 0.115051 | + | 0.0739389i | ||||
\(836\) | −14.2620 | + | 31.2294i | −0.493262 | + | 1.08009i | ||||
\(837\) | 0.488536 | − | 0.563800i | 0.0168863 | − | 0.0194878i | ||||
\(838\) | −59.2568 | + | 38.0821i | −2.04699 | + | 1.31552i | ||||
\(839\) | 0.596429 | + | 4.14825i | 0.0205910 | + | 0.143214i | 0.997523 | − | 0.0703351i | \(-0.0224069\pi\) |
−0.976932 | + | 0.213549i | \(0.931498\pi\) | |||||||
\(840\) | 0.115924 | + | 0.806267i | 0.00399975 | + | 0.0278189i | ||||
\(841\) | −23.5773 | + | 15.1522i | −0.813011 | + | 0.522491i | ||||
\(842\) | 26.2827 | − | 30.3319i | 0.905762 | − | 1.04530i | ||||
\(843\) | 0.0653982 | − | 0.143202i | 0.00225243 | − | 0.00493214i | ||||
\(844\) | 84.6437 | + | 54.3972i | 2.91356 | + | 1.87243i | ||||
\(845\) | −6.85423 | + | 2.01258i | −0.235793 | + | 0.0692350i | ||||
\(846\) | 19.9577 | + | 23.0325i | 0.686161 | + | 0.791873i | ||||
\(847\) | 12.1357 | + | 3.56337i | 0.416988 | + | 0.122439i | ||||
\(848\) | 6.42475 | + | 14.0682i | 0.220627 | + | 0.483105i | ||||
\(849\) | 0.164435 | − | 1.14367i | 0.00564339 | − | 0.0392506i | ||||
\(850\) | −13.2974 | −0.456097 | ||||||||
\(851\) | −12.8550 | − | 17.7870i | −0.440662 | − | 0.609729i | ||||
\(852\) | 2.47598 | 0.0848257 | ||||||||
\(853\) | 3.79232 | − | 26.3762i | 0.129847 | − | 0.903102i | −0.815899 | − | 0.578194i | \(-0.803758\pi\) |
0.945746 | − | 0.324908i | \(-0.105333\pi\) | |||||||
\(854\) | 12.8846 | + | 28.2133i | 0.440902 | + | 0.965441i | ||||
\(855\) | −12.8434 | − | 3.77115i | −0.439234 | − | 0.128971i | ||||
\(856\) | −42.7352 | − | 49.3190i | −1.46066 | − | 1.68569i | ||||
\(857\) | 0.594650 | − | 0.174605i | 0.0203129 | − | 0.00596440i | −0.271560 | − | 0.962421i | \(-0.587540\pi\) |
0.291873 | + | 0.956457i | \(0.405721\pi\) | |||||||
\(858\) | −0.806949 | − | 0.518595i | −0.0275488 | − | 0.0177045i | ||||
\(859\) | −19.6631 | + | 43.0562i | −0.670897 | + | 1.46906i | 0.201111 | + | 0.979568i | \(0.435545\pi\) |
−0.872008 | + | 0.489491i | \(0.837183\pi\) | |||||||
\(860\) | −30.0953 | + | 34.7318i | −1.02624 | + | 1.18434i | ||||
\(861\) | −0.170256 | + | 0.109417i | −0.00580232 | + | 0.00372893i | ||||
\(862\) | 15.1515 | + | 105.381i | 0.516060 | + | 3.58928i | ||||
\(863\) | −2.27113 | − | 15.7960i | −0.0773101 | − | 0.537704i | −0.991265 | − | 0.131887i | \(-0.957896\pi\) |
0.913955 | − | 0.405816i | \(-0.133013\pi\) | |||||||
\(864\) | 7.90946 | − | 5.08310i | 0.269085 | − | 0.172931i | ||||
\(865\) | −0.0414616 | + | 0.0478493i | −0.00140974 | + | 0.00162692i | ||||
\(866\) | −0.182676 | + | 0.400006i | −0.00620760 | + | 0.0135927i | ||||
\(867\) | 0.284097 | + | 0.182578i | 0.00964846 | + | 0.00620069i | ||||
\(868\) | −16.4074 | + | 4.81763i | −0.556902 | + | 0.163521i | ||||
\(869\) | −11.9989 | − | 13.8474i | −0.407034 | − | 0.469742i | ||||
\(870\) | −0.150635 | − | 0.0442303i | −0.00510699 | − | 0.00149955i | ||||
\(871\) | 22.0743 | + | 48.3360i | 0.747959 | + | 1.63780i | ||||
\(872\) | 1.38705 | − | 9.64714i | 0.0469714 | − | 0.326693i | ||||
\(873\) | −51.6423 | −1.74783 | ||||||||
\(874\) | 47.0491 | + | 36.4688i | 1.59146 | + | 1.23357i | ||||
\(875\) | 1.37543 | 0.0464980 | ||||||||
\(876\) | −0.389037 | + | 2.70581i | −0.0131443 | + | 0.0914208i | ||||
\(877\) | 16.5849 | + | 36.3159i | 0.560032 | + | 1.22630i | 0.951937 | + | 0.306294i | \(0.0990889\pi\) |
−0.391905 | + | 0.920006i | \(0.628184\pi\) | |||||||
\(878\) | −38.1736 | − | 11.2088i | −1.28830 | − | 0.378278i | ||||
\(879\) | 0.770375 | + | 0.889060i | 0.0259841 | + | 0.0299872i | ||||
\(880\) | −22.2943 | + | 6.54619i | −0.751540 | + | 0.220672i | ||||
\(881\) | −35.1486 | − | 22.5887i | −1.18419 | − | 0.761031i | −0.208036 | − | 0.978121i | \(-0.566707\pi\) |
−0.976152 | + | 0.217090i | \(0.930344\pi\) | |||||||
\(882\) | −17.6711 | + | 38.6943i | −0.595016 | + | 1.30290i | ||||
\(883\) | 15.4950 | − | 17.8822i | 0.521448 | − | 0.601783i | −0.432545 | − | 0.901612i | \(-0.642384\pi\) |
0.953993 | + | 0.299829i | \(0.0969297\pi\) | |||||||
\(884\) | 103.383 | − | 66.4402i | 3.47715 | − | 2.23463i | ||||
\(885\) | −0.0197177 | − | 0.137140i | −0.000662805 | − | 0.00460991i | ||||
\(886\) | −5.30094 | − | 36.8688i | −0.178088 | − | 1.23863i | ||||
\(887\) | 8.98726 | − | 5.77576i | 0.301763 | − | 0.193931i | −0.380993 | − | 0.924578i | \(-0.624418\pi\) |
0.682756 | + | 0.730647i | \(0.260781\pi\) | |||||||
\(888\) | 1.77469 | − | 2.04811i | 0.0595548 | − | 0.0687299i | ||||
\(889\) | 1.37938 | − | 3.02043i | 0.0462630 | − | 0.101302i | ||||
\(890\) | 37.3077 | + | 23.9762i | 1.25056 | + | 0.803685i | ||||
\(891\) | −11.5615 | + | 3.39475i | −0.387323 | + | 0.113728i | ||||
\(892\) | −30.9913 | − | 35.7659i | −1.03767 | − | 1.19753i | ||||
\(893\) | −15.6849 | − | 4.60549i | −0.524874 | − | 0.154117i | ||||
\(894\) | 0.525561 | + | 1.15082i | 0.0175774 | + | 0.0384891i | ||||
\(895\) | −0.829403 | + | 5.76862i | −0.0277239 | + | 0.192824i | ||||
\(896\) | −83.2797 | −2.78218 | ||||||||
\(897\) | −0.885966 | + | 0.856708i | −0.0295815 | + | 0.0286046i | ||||
\(898\) | 8.55758 | 0.285570 | ||||||||
\(899\) | 0.305098 | − | 2.12200i | 0.0101756 | − | 0.0707728i | ||||
\(900\) | −7.12333 | − | 15.5979i | −0.237444 | − | 0.519930i | ||||
\(901\) | −4.10504 | − | 1.20535i | −0.136759 | − | 0.0401559i | ||||
\(902\) | −6.28171 | − | 7.24948i | −0.209158 | − | 0.241381i | ||||
\(903\) | −0.606883 | + | 0.178197i | −0.0201958 | + | 0.00593002i | ||||
\(904\) | 78.0831 | + | 50.1810i | 2.59701 | + | 1.66899i | ||||
\(905\) | 3.75100 | − | 8.21354i | 0.124687 | − | 0.273027i | ||||
\(906\) | 1.04662 | − | 1.20786i | 0.0347715 | − | 0.0401284i | ||||
\(907\) | −20.2974 | + | 13.0443i | −0.673964 | + | 0.433130i | −0.832352 | − | 0.554247i | \(-0.813006\pi\) |
0.158389 | + | 0.987377i | \(0.449370\pi\) | |||||||
\(908\) | −3.69918 | − | 25.7283i | −0.122761 | − | 0.853825i | ||||
\(909\) | 4.03124 | + | 28.0379i | 0.133708 | + | 0.929958i | ||||
\(910\) | −14.4312 | + | 9.27435i | −0.478388 | + | 0.307442i | ||||
\(911\) | −7.42553 | + | 8.56952i | −0.246019 | + | 0.283921i | −0.865306 | − | 0.501244i | \(-0.832876\pi\) |
0.619288 | + | 0.785164i | \(0.287422\pi\) | |||||||
\(912\) | −1.83781 | + | 4.02424i | −0.0608560 | + | 0.133256i | ||||
\(913\) | −4.91455 | − | 3.15839i | −0.162648 | − | 0.104527i | ||||
\(914\) | −74.7717 | + | 21.9549i | −2.47323 | + | 0.726205i | ||||
\(915\) | 0.304272 | + | 0.351148i | 0.0100589 | + | 0.0116086i | ||||
\(916\) | 50.8371 | + | 14.9271i | 1.67971 | + | 0.493206i | ||||
\(917\) | −6.28049 | − | 13.7523i | −0.207400 | − | 0.454142i | ||||
\(918\) | −0.649772 | + | 4.51926i | −0.0214457 | + | 0.149158i | ||||
\(919\) | −45.0516 | −1.48612 | −0.743058 | − | 0.669227i | \(-0.766625\pi\) | ||||
−0.743058 | + | 0.669227i | \(0.766625\pi\) | |||||||
\(920\) | 2.70764 | + | 49.5301i | 0.0892684 | + | 1.63296i | ||||
\(921\) | 1.35515 | 0.0446539 | ||||||||
\(922\) | 12.1436 | − | 84.4603i | 0.399927 | − | 2.78155i | ||||
\(923\) | 14.0901 | + | 30.8530i | 0.463781 | + | 1.01554i | ||||
\(924\) | −0.580789 | − | 0.170535i | −0.0191066 | − | 0.00561019i | ||||
\(925\) | −2.99668 | − | 3.45835i | −0.0985301 | − | 0.113710i | ||||
\(926\) | 50.2045 | − | 14.7414i | 1.64982 | − | 0.484431i | ||||
\(927\) | 22.4520 | + | 14.4291i | 0.737422 | + | 0.473912i | ||||
\(928\) | 11.2239 | − | 24.5769i | 0.368443 | − | 0.806777i | ||||
\(929\) | 38.9310 | − | 44.9287i | 1.27728 | − | 1.47406i | 0.471487 | − | 0.881873i | \(-0.343718\pi\) |
0.805797 | − | 0.592191i | \(-0.201737\pi\) | |||||||
\(930\) | −0.290822 | + | 0.186900i | −0.00953644 | + | 0.00612870i | ||||
\(931\) | −3.24719 | − | 22.5847i | −0.106422 | − | 0.740184i | ||||
\(932\) | 1.27797 | + | 8.88850i | 0.0418614 | + | 0.291153i | ||||
\(933\) | 1.52582 | − | 0.980583i | 0.0499530 | − | 0.0321029i | ||||
\(934\) | −68.0204 | + | 78.4997i | −2.22569 | + | 2.56859i | ||||
\(935\) | 2.67015 | − | 5.84681i | 0.0873232 | − | 0.191211i | ||||
\(936\) | 117.030 | + | 75.2103i | 3.82523 | + | 2.45833i | ||||
\(937\) | −21.2130 | + | 6.22870i | −0.692998 | + | 0.203483i | −0.609219 | − | 0.793002i | \(-0.708517\pi\) |
−0.0837788 | + | 0.996484i | \(0.526699\pi\) | |||||||
\(938\) | 29.6341 | + | 34.1995i | 0.967586 | + | 1.11665i | ||||
\(939\) | −0.707292 | − | 0.207680i | −0.0230816 | − | 0.00677737i | ||||
\(940\) | −8.69932 | − | 19.0489i | −0.283741 | − | 0.621305i | ||||
\(941\) | 0.995120 | − | 6.92121i | 0.0324400 | − | 0.225625i | −0.967152 | − | 0.254200i | \(-0.918188\pi\) |
0.999592 | + | 0.0285750i | \(0.00909693\pi\) | |||||||
\(942\) | 1.57882 | 0.0514409 | ||||||||
\(943\) | −10.9146 | + | 5.72412i | −0.355430 | + | 0.186403i | ||||
\(944\) | 41.8577 | 1.36235 | ||||||||
\(945\) | 0.0672098 | − | 0.467455i | 0.00218634 | − | 0.0152063i | ||||
\(946\) | −12.4537 | − | 27.2698i | −0.404904 | − | 0.886617i | ||||
\(947\) | 40.8351 | + | 11.9903i | 1.32696 | + | 0.389631i | 0.867000 | − | 0.498308i | \(-0.166045\pi\) |
0.459962 | + | 0.887939i | \(0.347863\pi\) | |||||||
\(948\) | −2.92665 | − | 3.37754i | −0.0950533 | − | 0.109697i | ||||
\(949\) | −35.9308 | + | 10.5502i | −1.16636 | + | 0.342475i | ||||
\(950\) | 10.4420 | + | 6.71068i | 0.338784 | + | 0.217723i | ||||
\(951\) | −0.336056 | + | 0.735860i | −0.0108974 | + | 0.0238619i | ||||
\(952\) | 44.5801 | − | 51.4482i | 1.44485 | − | 1.66744i | ||||
\(953\) | −9.51037 | + | 6.11194i | −0.308071 | + | 0.197985i | −0.685536 | − | 0.728039i | \(-0.740432\pi\) |
0.377465 | + | 0.926024i | \(0.376796\pi\) | |||||||
\(954\) | −1.05959 | − | 7.36964i | −0.0343056 | − | 0.238601i | ||||
\(955\) | −1.94226 | − | 13.5087i | −0.0628500 | − | 0.437132i | ||||
\(956\) | 90.8793 | − | 58.4046i | 2.93925 | − | 1.88894i | ||||
\(957\) | 0.0496956 | − | 0.0573518i | 0.00160643 | − | 0.00185392i | ||||
\(958\) | 26.0833 | − | 57.1144i | 0.842712 | − | 1.84528i | ||||
\(959\) | 1.65600 | + | 1.06425i | 0.0534751 | + | 0.0343663i | ||||
\(960\) | −2.27974 | + | 0.669391i | −0.0735782 | + | 0.0216045i | ||||
\(961\) | 17.2093 | + | 19.8606i | 0.555138 | + | 0.640663i | ||||
\(962\) | 54.7607 | + | 16.0792i | 1.76555 | + | 0.518414i | ||||
\(963\) | 7.85437 | + | 17.1987i | 0.253104 | + | 0.554219i | ||||
\(964\) | 12.8063 | − | 89.0696i | 0.412463 | − | 2.86874i | ||||
\(965\) | 14.3707 | 0.462610 | ||||||||
\(966\) | −0.518384 | + | 0.912588i | −0.0166787 | + | 0.0293620i | ||||
\(967\) | −8.23635 | −0.264863 | −0.132432 | − | 0.991192i | \(-0.542278\pi\) | ||||
−0.132432 | + | 0.991192i | \(0.542278\pi\) | |||||||
\(968\) | −13.5360 | + | 94.1446i | −0.435062 | + | 3.02592i | ||||
\(969\) | −0.508396 | − | 1.11323i | −0.0163320 | − | 0.0357621i | ||||
\(970\) | 45.9482 | + | 13.4916i | 1.47531 | + | 0.433189i | ||||
\(971\) | 24.7568 | + | 28.5709i | 0.794484 | + | 0.916883i | 0.998065 | − | 0.0621747i | \(-0.0198036\pi\) |
−0.203581 | + | 0.979058i | \(0.565258\pi\) | |||||||
\(972\) | −8.47533 | + | 2.48858i | −0.271846 | + | 0.0798213i | ||||
\(973\) | −1.97129 | − | 1.26687i | −0.0631967 | − | 0.0406141i | ||||
\(974\) | −28.5141 | + | 62.4372i | −0.913651 | + | 2.00062i | ||||
\(975\) | −0.168286 | + | 0.194212i | −0.00538946 | + | 0.00621976i | ||||
\(976\) | −118.089 | + | 75.8909i | −3.77992 | + | 2.42921i | ||||
\(977\) | −0.100780 | − | 0.700939i | −0.00322423 | − | 0.0224250i | 0.988146 | − | 0.153518i | \(-0.0490604\pi\) |
−0.991370 | + | 0.131093i | \(0.958151\pi\) | |||||||
\(978\) | 0.0537576 | + | 0.373893i | 0.00171898 | + | 0.0119558i | ||||
\(979\) | −18.0337 | + | 11.5896i | −0.576360 | + | 0.370404i | ||||
\(980\) | 19.1413 | − | 22.0902i | 0.611445 | − | 0.705645i | ||||
\(981\) | −1.17305 | + | 2.56862i | −0.0374526 | + | 0.0820098i | ||||
\(982\) | 33.0851 | + | 21.2625i | 1.05579 | + | 0.678514i | ||||
\(983\) | −26.3290 | + | 7.73089i | −0.839765 | + | 0.246577i | −0.673207 | − | 0.739454i | \(-0.735084\pi\) |
−0.166558 | + | 0.986032i | \(0.553265\pi\) | |||||||
\(984\) | −0.996645 | − | 1.15019i | −0.0317719 | − | 0.0366667i | ||||
\(985\) | −18.7035 | − | 5.49186i | −0.595944 | − | 0.174985i | ||||
\(986\) | 5.45048 | + | 11.9349i | 0.173579 | + | 0.380084i | ||||
\(987\) | 0.0410174 | − | 0.285282i | 0.00130560 | − | 0.00908062i | ||||
\(988\) | −114.713 | −3.64951 | ||||||||
\(989\) | −37.7694 | + | 7.55453i | −1.20100 | + | 0.240220i | ||||
\(990\) | 11.1858 | 0.355508 | ||||||||
\(991\) | −6.49869 | + | 45.1994i | −0.206438 | + | 1.43581i | 0.578222 | + | 0.815879i | \(0.303747\pi\) |
−0.784660 | + | 0.619926i | \(0.787162\pi\) | |||||||
\(992\) | −24.7151 | − | 54.1185i | −0.784705 | − | 1.71826i | ||||
\(993\) | 1.71584 | + | 0.503816i | 0.0544505 | + | 0.0159881i | ||||
\(994\) | 18.9155 | + | 21.8296i | 0.599963 | + | 0.692394i | ||||
\(995\) | 19.6283 | − | 5.76340i | 0.622260 | − | 0.182712i | ||||
\(996\) | −1.19871 | − | 0.770365i | −0.0379826 | − | 0.0244099i | ||||
\(997\) | 12.4926 | − | 27.3549i | 0.395643 | − | 0.866338i | −0.602050 | − | 0.798458i | \(-0.705649\pi\) |
0.997694 | − | 0.0678796i | \(-0.0216234\pi\) | |||||||
\(998\) | 45.2964 | − | 52.2748i | 1.43383 | − | 1.65473i | ||||
\(999\) | −1.32179 | + | 0.849461i | −0.0418195 | + | 0.0268758i |
(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 | 115.2.g.c.31.5 | yes | 50 | |
5.2 | odd | 4 | 575.2.p.d.399.10 | 100 | |||
5.3 | odd | 4 | 575.2.p.d.399.1 | 100 | |||
5.4 | even | 2 | 575.2.k.d.376.1 | 50 | |||
23.3 | even | 11 | inner | 115.2.g.c.26.5 | ✓ | 50 | |
23.7 | odd | 22 | 2645.2.a.x.1.1 | 25 | |||
23.16 | even | 11 | 2645.2.a.y.1.1 | 25 | |||
115.3 | odd | 44 | 575.2.p.d.49.10 | 100 | |||
115.49 | even | 22 | 575.2.k.d.26.1 | 50 | |||
115.72 | odd | 44 | 575.2.p.d.49.1 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.g.c.26.5 | ✓ | 50 | 23.3 | even | 11 | inner | |
115.2.g.c.31.5 | yes | 50 | 1.1 | even | 1 | trivial | |
575.2.k.d.26.1 | 50 | 115.49 | even | 22 | |||
575.2.k.d.376.1 | 50 | 5.4 | even | 2 | |||
575.2.p.d.49.1 | 100 | 115.72 | odd | 44 | |||
575.2.p.d.49.10 | 100 | 115.3 | odd | 44 | |||
575.2.p.d.399.1 | 100 | 5.3 | odd | 4 | |||
575.2.p.d.399.10 | 100 | 5.2 | odd | 4 | |||
2645.2.a.x.1.1 | 25 | 23.7 | odd | 22 | |||
2645.2.a.y.1.1 | 25 | 23.16 | even | 11 |