Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [889,2,Mod(2,889)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(889, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("889.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 889 = 7 \cdot 127 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 889.bm (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.09870073969\) |
Analytic rank: | \(0\) |
Dimension: | \(1008\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 2.14 | ||
Character | \(\chi\) | \(=\) | 889.2 |
Dual form | 889.2.bm.a.445.14 |
$q$-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 \(\left(\mathbb{Z}/889\mathbb{Z}\right)^\times\).
\(n\) | \(255\) | \(638\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{4}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.73594 | + | 1.18354i | −1.22749 | + | 0.836891i | −0.990885 | − | 0.134713i | \(-0.956989\pi\) |
−0.236610 | + | 0.971605i | \(0.576036\pi\) | |||||||
\(3\) | −1.77532 | + | 0.547615i | −1.02498 | + | 0.316166i | −0.761270 | − | 0.648435i | \(-0.775424\pi\) |
−0.263714 | + | 0.964601i | \(0.584948\pi\) | |||||||
\(4\) | 0.882028 | − | 2.24737i | 0.441014 | − | 1.12368i | ||||
\(5\) | 0.0270140 | + | 0.0688306i | 0.0120810 | + | 0.0307820i | 0.936787 | − | 0.349900i | \(-0.113784\pi\) |
−0.924706 | + | 0.380682i | \(0.875689\pi\) | |||||||
\(6\) | 2.43373 | − | 3.05180i | 0.993566 | − | 1.24589i | ||||
\(7\) | 0.776326 | + | 2.52929i | 0.293424 | + | 0.955982i | ||||
\(8\) | 0.193674 | + | 0.848541i | 0.0684741 | + | 0.300005i | ||||
\(9\) | 0.373178 | − | 0.254429i | 0.124393 | − | 0.0848096i | ||||
\(10\) | −0.128359 | − | 0.0875135i | −0.0405906 | − | 0.0276742i | ||||
\(11\) | −0.769292 | − | 0.524494i | −0.231950 | − | 0.158141i | 0.441768 | − | 0.897129i | \(-0.354351\pi\) |
−0.673718 | + | 0.738988i | \(0.735304\pi\) | |||||||
\(12\) | −0.335192 | + | 4.47282i | −0.0967615 | + | 1.29119i | ||||
\(13\) | 0.581928 | − | 0.729714i | 0.161398 | − | 0.202386i | −0.694556 | − | 0.719438i | \(-0.744399\pi\) |
0.855954 | + | 0.517052i | \(0.172971\pi\) | |||||||
\(14\) | −4.34118 | − | 3.47188i | −1.16023 | − | 0.927899i | ||||
\(15\) | −0.0856514 | − | 0.107403i | −0.0221151 | − | 0.0277314i | ||||
\(16\) | 2.19906 | + | 2.04043i | 0.549766 | + | 0.510108i | ||||
\(17\) | 4.93251 | + | 0.743457i | 1.19631 | + | 0.180315i | 0.716836 | − | 0.697241i | \(-0.245589\pi\) |
0.479474 | + | 0.877556i | \(0.340828\pi\) | |||||||
\(18\) | −0.346688 | + | 0.883346i | −0.0817150 | + | 0.208207i | ||||
\(19\) | −2.74163 | + | 4.74864i | −0.628972 | + | 1.08941i | 0.358786 | + | 0.933420i | \(0.383191\pi\) |
−0.987758 | + | 0.155992i | \(0.950143\pi\) | |||||||
\(20\) | 0.178515 | 0.0399172 | ||||||||
\(21\) | −2.76331 | − | 4.06519i | −0.603004 | − | 0.887096i | ||||
\(22\) | 1.95621 | 0.417064 | ||||||||
\(23\) | −4.32229 | + | 2.94688i | −0.901259 | + | 0.614468i | −0.922791 | − | 0.385300i | \(-0.874098\pi\) |
0.0215323 | + | 0.999768i | \(0.493146\pi\) | |||||||
\(24\) | −0.808508 | − | 1.40038i | −0.165036 | − | 0.285851i | ||||
\(25\) | 3.66125 | − | 3.39714i | 0.732250 | − | 0.679429i | ||||
\(26\) | −0.146543 | + | 1.95548i | −0.0287394 | + | 0.383500i | ||||
\(27\) | 2.95189 | − | 3.70156i | 0.568092 | − | 0.712365i | ||||
\(28\) | 6.36900 | + | 0.486213i | 1.20363 | + | 0.0918857i | ||||
\(29\) | −1.34140 | + | 5.87706i | −0.249092 | + | 1.09134i | 0.683369 | + | 0.730073i | \(0.260514\pi\) |
−0.932461 | + | 0.361270i | \(0.882343\pi\) | |||||||
\(30\) | 0.275802 | + | 0.0850737i | 0.0503543 | + | 0.0155323i | ||||
\(31\) | −3.66138 | + | 9.32905i | −0.657604 | + | 1.67555i | 0.0769835 | + | 0.997032i | \(0.475471\pi\) |
−0.734587 | + | 0.678514i | \(0.762624\pi\) | |||||||
\(32\) | −7.95366 | − | 1.19882i | −1.40602 | − | 0.211924i | ||||
\(33\) | 1.65296 | + | 0.509872i | 0.287744 | + | 0.0887573i | ||||
\(34\) | −9.44245 | + | 4.54725i | −1.61937 | + | 0.779846i | ||||
\(35\) | −0.153121 | + | 0.121761i | −0.0258822 | + | 0.0205814i | ||||
\(36\) | −0.242642 | − | 1.06308i | −0.0404403 | − | 0.177181i | ||||
\(37\) | −2.53754 | + | 4.39514i | −0.417168 | + | 0.722557i | −0.995653 | − | 0.0931361i | \(-0.970311\pi\) |
0.578485 | + | 0.815693i | \(0.303644\pi\) | |||||||
\(38\) | −0.860920 | − | 11.4882i | −0.139660 | − | 1.86363i | ||||
\(39\) | −0.633508 | + | 1.61415i | −0.101442 | + | 0.258471i | ||||
\(40\) | −0.0531737 | + | 0.0362532i | −0.00840750 | + | 0.00573214i | ||||
\(41\) | 3.35628 | − | 4.20865i | 0.524164 | − | 0.657280i | −0.447324 | − | 0.894372i | \(-0.647623\pi\) |
0.971487 | + | 0.237092i | \(0.0761942\pi\) | |||||||
\(42\) | 9.60826 | + | 3.78642i | 1.48259 | + | 0.584257i | ||||
\(43\) | 0.299343 | − | 1.31151i | 0.0456494 | − | 0.200003i | −0.946961 | − | 0.321349i | \(-0.895864\pi\) |
0.992610 | + | 0.121346i | \(0.0387210\pi\) | |||||||
\(44\) | −1.85727 | + | 1.26627i | −0.279994 | + | 0.190897i | ||||
\(45\) | 0.0275935 | + | 0.0188130i | 0.00411340 | + | 0.00280447i | ||||
\(46\) | 4.01546 | − | 10.2312i | 0.592047 | − | 1.50851i | ||||
\(47\) | −1.70107 | + | 0.256395i | −0.248126 | + | 0.0373991i | −0.271928 | − | 0.962318i | \(-0.587661\pi\) |
0.0238013 | + | 0.999717i | \(0.492423\pi\) | |||||||
\(48\) | −5.02142 | − | 2.41819i | −0.724780 | − | 0.349035i | ||||
\(49\) | −5.79464 | + | 3.92711i | −0.827805 | + | 0.561016i | ||||
\(50\) | −2.33504 | + | 10.2305i | −0.330225 | + | 1.44681i | ||||
\(51\) | −9.16394 | + | 1.38124i | −1.28321 | + | 0.193412i | ||||
\(52\) | −1.12666 | − | 1.95143i | −0.156240 | − | 0.270615i | ||||
\(53\) | 0.0172795 | + | 0.230579i | 0.00237352 | + | 0.0316724i | 0.998265 | − | 0.0588845i | \(-0.0187544\pi\) |
−0.995891 | + | 0.0905569i | \(0.971135\pi\) | |||||||
\(54\) | −0.743354 | + | 9.91937i | −0.101158 | + | 1.34986i | ||||
\(55\) | 0.0153196 | − | 0.0671196i | 0.00206569 | − | 0.00905040i | ||||
\(56\) | −1.99585 | + | 1.14860i | −0.266707 | + | 0.153489i | ||||
\(57\) | 2.26685 | − | 9.93173i | 0.300252 | − | 1.31549i | ||||
\(58\) | −4.62717 | − | 11.7898i | −0.607577 | − | 1.54808i | ||||
\(59\) | −6.42544 | − | 11.1292i | −0.836521 | − | 1.44890i | −0.892786 | − | 0.450481i | \(-0.851252\pi\) |
0.0562647 | − | 0.998416i | \(-0.482081\pi\) | |||||||
\(60\) | −0.316922 | + | 0.0977575i | −0.0409145 | + | 0.0126204i | ||||
\(61\) | 3.09114 | + | 2.86816i | 0.395780 | + | 0.367231i | 0.852810 | − | 0.522221i | \(-0.174896\pi\) |
−0.457030 | + | 0.889451i | \(0.651087\pi\) | |||||||
\(62\) | −4.68540 | − | 20.5281i | −0.595046 | − | 2.60707i | ||||
\(63\) | 0.933233 | + | 0.746357i | 0.117576 | + | 0.0940322i | ||||
\(64\) | 9.82034 | − | 4.72923i | 1.22754 | − | 0.591153i | ||||
\(65\) | 0.0659469 | + | 0.0203419i | 0.00817970 | + | 0.00252310i | ||||
\(66\) | −3.47290 | + | 1.07125i | −0.427484 | + | 0.131861i | ||||
\(67\) | 5.65462 | − | 1.74422i | 0.690821 | − | 0.213090i | 0.0705858 | − | 0.997506i | \(-0.477513\pi\) |
0.620236 | + | 0.784416i | \(0.287037\pi\) | |||||||
\(68\) | 6.02144 | − | 10.4294i | 0.730206 | − | 1.26475i | ||||
\(69\) | 6.05970 | − | 7.59863i | 0.729502 | − | 0.914767i | ||||
\(70\) | 0.121699 | − | 0.392596i | 0.0145458 | − | 0.0469242i | ||||
\(71\) | −0.861327 | − | 0.414793i | −0.102221 | − | 0.0492269i | 0.382075 | − | 0.924131i | \(-0.375210\pi\) |
−0.484295 | + | 0.874905i | \(0.660924\pi\) | |||||||
\(72\) | 0.288168 | + | 0.267381i | 0.0339610 | + | 0.0315112i | ||||
\(73\) | −8.70897 | − | 5.93767i | −1.01931 | − | 0.694952i | −0.0662691 | − | 0.997802i | \(-0.521110\pi\) |
−0.953038 | + | 0.302850i | \(0.902062\pi\) | |||||||
\(74\) | −0.796832 | − | 10.6330i | −0.0926298 | − | 1.23606i | ||||
\(75\) | −4.63958 | + | 8.03599i | −0.535733 | + | 0.927916i | ||||
\(76\) | 8.25375 | + | 10.3499i | 0.946771 | + | 1.18721i | ||||
\(77\) | 0.729378 | − | 2.35294i | 0.0831203 | − | 0.268143i | ||||
\(78\) | −0.810687 | − | 3.55185i | −0.0917922 | − | 0.402168i | ||||
\(79\) | 0.507736 | − | 0.346169i | 0.0571248 | − | 0.0389470i | −0.534421 | − | 0.845218i | \(-0.679470\pi\) |
0.591546 | + | 0.806271i | \(0.298518\pi\) | |||||||
\(80\) | −0.0810387 | + | 0.206483i | −0.00906040 | + | 0.0230855i | ||||
\(81\) | −3.70857 | + | 9.44928i | −0.412063 | + | 1.04992i | ||||
\(82\) | −0.845189 | + | 11.2783i | −0.0933355 | + | 1.24548i | ||||
\(83\) | −12.0297 | − | 5.79320i | −1.32043 | − | 0.635886i | −0.364974 | − | 0.931018i | \(-0.618922\pi\) |
−0.955457 | + | 0.295132i | \(0.904636\pi\) | |||||||
\(84\) | −11.5733 | + | 2.62457i | −1.26275 | + | 0.286364i | ||||
\(85\) | 0.0820745 | + | 0.359592i | 0.00890223 | + | 0.0390032i | ||||
\(86\) | 1.03258 | + | 2.63098i | 0.111346 | + | 0.283706i | ||||
\(87\) | −0.836945 | − | 11.1683i | −0.0897300 | − | 1.19736i | ||||
\(88\) | 0.296063 | − | 0.754357i | 0.0315604 | − | 0.0804147i | ||||
\(89\) | 8.68731 | − | 5.92291i | 0.920853 | − | 0.627827i | −0.00732136 | − | 0.999973i | \(-0.502330\pi\) |
0.928174 | + | 0.372146i | \(0.121378\pi\) | |||||||
\(90\) | −0.0701667 | −0.00739622 | ||||||||
\(91\) | 2.29743 | + | 0.905368i | 0.240836 | + | 0.0949084i | ||||
\(92\) | 2.81036 | + | 12.3130i | 0.293001 | + | 1.28372i | ||||
\(93\) | 1.39141 | − | 18.5671i | 0.144283 | − | 1.92532i | ||||
\(94\) | 2.64950 | − | 2.45838i | 0.273275 | − | 0.253562i | ||||
\(95\) | −0.400914 | − | 0.0604281i | −0.0411329 | − | 0.00619979i | ||||
\(96\) | 14.7768 | − | 2.22725i | 1.50815 | − | 0.227317i | ||||
\(97\) | −1.89631 | − | 8.30827i | −0.192541 | − | 0.843577i | −0.975235 | − | 0.221170i | \(-0.929012\pi\) |
0.782694 | − | 0.622406i | \(-0.213845\pi\) | |||||||
\(98\) | 5.41123 | − | 13.6754i | 0.546616 | − | 1.38143i | ||||
\(99\) | −0.420530 | −0.0422648 | ||||||||
\(100\) | −4.40532 | − | 11.2246i | −0.440532 | − | 1.12246i | ||||
\(101\) | −6.25843 | − | 4.26693i | −0.622737 | − | 0.424575i | 0.210420 | − | 0.977611i | \(-0.432517\pi\) |
−0.833157 | + | 0.553036i | \(0.813469\pi\) | |||||||
\(102\) | 14.2733 | − | 13.2437i | 1.41327 | − | 1.31132i | ||||
\(103\) | −0.0900938 | + | 0.156047i | −0.00887720 | + | 0.0153758i | −0.870430 | − | 0.492292i | \(-0.836159\pi\) |
0.861553 | + | 0.507668i | \(0.169492\pi\) | |||||||
\(104\) | 0.731897 | + | 0.352463i | 0.0717684 | + | 0.0345618i | ||||
\(105\) | 0.205161 | − | 0.300017i | 0.0200217 | − | 0.0292787i | ||||
\(106\) | −0.302896 | − | 0.379820i | −0.0294199 | − | 0.0368913i | ||||
\(107\) | 6.58451 | − | 11.4047i | 0.636549 | − | 1.10254i | −0.349636 | − | 0.936886i | \(-0.613695\pi\) |
0.986185 | − | 0.165649i | \(-0.0529720\pi\) | |||||||
\(108\) | −5.71512 | − | 9.89888i | −0.549938 | − | 0.952520i | ||||
\(109\) | −5.57901 | + | 14.2151i | −0.534372 | + | 1.36156i | 0.367688 | + | 0.929949i | \(0.380149\pi\) |
−0.902061 | + | 0.431609i | \(0.857946\pi\) | |||||||
\(110\) | 0.0528450 | + | 0.134647i | 0.00503857 | + | 0.0128381i | ||||
\(111\) | 2.09810 | − | 9.19240i | 0.199143 | − | 0.872504i | ||||
\(112\) | −3.45366 | + | 7.14611i | −0.326340 | + | 0.675244i | ||||
\(113\) | 13.9430 | − | 6.71461i | 1.31165 | − | 0.631658i | 0.358323 | − | 0.933598i | \(-0.383349\pi\) |
0.953327 | + | 0.301940i | \(0.0976342\pi\) | |||||||
\(114\) | 7.81951 | + | 19.9238i | 0.732364 | + | 1.86603i | ||||
\(115\) | −0.319598 | − | 0.217898i | −0.0298027 | − | 0.0203191i | ||||
\(116\) | 12.0248 | + | 8.19835i | 1.11647 | + | 0.761198i | ||||
\(117\) | 0.0315026 | − | 0.420373i | 0.00291241 | − | 0.0388635i | ||||
\(118\) | 24.3261 | + | 11.7148i | 2.23939 | + | 1.07844i | ||||
\(119\) | 1.94882 | + | 13.0529i | 0.178648 | + | 1.19656i | ||||
\(120\) | 0.0745478 | − | 0.0934800i | 0.00680525 | − | 0.00853351i | ||||
\(121\) | −3.70204 | − | 9.43263i | −0.336549 | − | 0.857512i | ||||
\(122\) | −8.76063 | − | 1.32045i | −0.793150 | − | 0.119548i | ||||
\(123\) | −3.65377 | + | 9.30967i | −0.329450 | + | 0.839424i | ||||
\(124\) | 17.7364 | + | 16.4570i | 1.59277 | + | 1.47788i | ||||
\(125\) | 0.665830 | + | 0.320647i | 0.0595536 | + | 0.0286795i | ||||
\(126\) | −2.50338 | − | 0.191110i | −0.223019 | − | 0.0170254i | ||||
\(127\) | 6.41370 | + | 9.26631i | 0.569124 | + | 0.822252i | ||||
\(128\) | −3.40677 | + | 5.90070i | −0.301119 | + | 0.521553i | ||||
\(129\) | 0.186770 | + | 2.49228i | 0.0164442 | + | 0.219433i | ||||
\(130\) | −0.138555 | + | 0.0427387i | −0.0121521 | + | 0.00374843i | ||||
\(131\) | −7.24359 | + | 1.09180i | −0.632876 | + | 0.0953906i | −0.457642 | − | 0.889136i | \(-0.651306\pi\) |
−0.175233 | + | 0.984527i | \(0.556068\pi\) | |||||||
\(132\) | 2.60383 | − | 3.26510i | 0.226634 | − | 0.284191i | ||||
\(133\) | −14.1391 | − | 3.24788i | −1.22601 | − | 0.281627i | ||||
\(134\) | −7.75171 | + | 9.72034i | −0.669646 | + | 0.839710i | ||||
\(135\) | 0.334523 | + | 0.103187i | 0.0287912 | + | 0.00888090i | ||||
\(136\) | 0.324446 | + | 4.32943i | 0.0278210 | + | 0.371245i | ||||
\(137\) | −15.4254 | − | 10.5168i | −1.31788 | − | 0.898515i | −0.319090 | − | 0.947724i | \(-0.603377\pi\) |
−0.998788 | + | 0.0492097i | \(0.984330\pi\) | |||||||
\(138\) | −1.52597 | + | 20.3627i | −0.129899 | + | 1.73339i | ||||
\(139\) | −15.2556 | + | 7.34671i | −1.29396 | + | 0.623140i | −0.948941 | − | 0.315454i | \(-0.897843\pi\) |
−0.345023 | + | 0.938594i | \(0.612129\pi\) | |||||||
\(140\) | 0.138586 | + | 0.451517i | 0.0117126 | + | 0.0381601i | ||||
\(141\) | 2.87954 | − | 1.38672i | 0.242501 | − | 0.116783i | ||||
\(142\) | 1.98614 | − | 0.299362i | 0.166673 | − | 0.0251219i | ||||
\(143\) | −0.830403 | + | 0.256145i | −0.0694418 | + | 0.0214200i | ||||
\(144\) | 1.33979 | + | 0.201940i | 0.111649 | + | 0.0168284i | ||||
\(145\) | −0.440758 | + | 0.0664336i | −0.0366030 | + | 0.00551701i | ||||
\(146\) | 22.1457 | 1.83279 | ||||||||
\(147\) | 8.13681 | − | 10.1451i | 0.671113 | − | 0.836756i | ||||
\(148\) | 7.63933 | + | 9.57942i | 0.627949 | + | 0.787424i | ||||
\(149\) | −11.4549 | + | 19.8404i | −0.938418 | + | 1.62539i | −0.169996 | + | 0.985445i | \(0.554375\pi\) |
−0.768422 | + | 0.639943i | \(0.778958\pi\) | |||||||
\(150\) | −1.45691 | − | 19.4411i | −0.118956 | − | 1.58736i | ||||
\(151\) | 8.39489 | + | 14.5404i | 0.683166 | + | 1.18328i | 0.974009 | + | 0.226508i | \(0.0727308\pi\) |
−0.290843 | + | 0.956771i | \(0.593936\pi\) | |||||||
\(152\) | −4.56040 | − | 1.40670i | −0.369897 | − | 0.114098i | ||||
\(153\) | 2.02986 | − | 0.977531i | 0.164105 | − | 0.0790287i | ||||
\(154\) | 1.51865 | + | 4.94782i | 0.122377 | + | 0.398706i | ||||
\(155\) | −0.741033 | −0.0595212 | ||||||||
\(156\) | 3.06882 | + | 2.84745i | 0.245703 | + | 0.227979i | ||||
\(157\) | −7.22923 | + | 6.70775i | −0.576956 | + | 0.535337i | −0.913769 | − | 0.406235i | \(-0.866841\pi\) |
0.336813 | + | 0.941572i | \(0.390651\pi\) | |||||||
\(158\) | −0.471694 | + | 1.20186i | −0.0375259 | + | 0.0956145i | ||||
\(159\) | −0.156945 | − | 0.399890i | −0.0124466 | − | 0.0317133i | ||||
\(160\) | −0.132345 | − | 0.579840i | −0.0104628 | − | 0.0458404i | ||||
\(161\) | −10.8090 | − | 8.64458i | −0.851871 | − | 0.681288i | ||||
\(162\) | −4.74578 | − | 20.7926i | −0.372864 | − | 1.63362i | ||||
\(163\) | −21.2529 | − | 6.55567i | −1.66466 | − | 0.513479i | −0.687536 | − | 0.726151i | \(-0.741307\pi\) |
−0.977124 | + | 0.212671i | \(0.931784\pi\) | |||||||
\(164\) | −6.49805 | − | 11.2550i | −0.507413 | − | 0.878864i | ||||
\(165\) | 0.00955842 | + | 0.127548i | 0.000744122 | + | 0.00992962i | ||||
\(166\) | 27.7393 | − | 4.18103i | 2.15299 | − | 0.324511i | ||||
\(167\) | −21.9040 | − | 10.5484i | −1.69498 | − | 0.816260i | −0.994749 | − | 0.102345i | \(-0.967365\pi\) |
−0.700232 | − | 0.713915i | \(-0.746920\pi\) | |||||||
\(168\) | 2.91430 | − | 3.13210i | 0.224843 | − | 0.241647i | ||||
\(169\) | 2.69893 | + | 11.8248i | 0.207610 | + | 0.909599i | ||||
\(170\) | −0.568069 | − | 0.527091i | −0.0435689 | − | 0.0404260i | ||||
\(171\) | 0.185074 | + | 2.46964i | 0.0141529 | + | 0.188858i | ||||
\(172\) | −2.68341 | − | 1.82952i | −0.204608 | − | 0.139500i | ||||
\(173\) | −11.7650 | + | 1.77329i | −0.894479 | + | 0.134821i | −0.580166 | − | 0.814498i | \(-0.697012\pi\) |
−0.314313 | + | 0.949319i | \(0.601774\pi\) | |||||||
\(174\) | 14.6710 | + | 18.3969i | 1.11221 | + | 1.39466i | ||||
\(175\) | 11.4347 | + | 6.62308i | 0.864382 | + | 0.500658i | ||||
\(176\) | −0.621526 | − | 2.72308i | −0.0468493 | − | 0.205260i | ||||
\(177\) | 17.5018 | + | 16.2393i | 1.31551 | + | 1.22062i | ||||
\(178\) | −8.07062 | + | 20.5636i | −0.604919 | + | 1.54131i | ||||
\(179\) | 3.03065 | + | 5.24924i | 0.226522 | + | 0.392347i | 0.956775 | − | 0.290830i | \(-0.0939313\pi\) |
−0.730253 | + | 0.683177i | \(0.760598\pi\) | |||||||
\(180\) | 0.0666180 | − | 0.0454194i | 0.00496541 | − | 0.00338536i | ||||
\(181\) | 7.43341 | − | 3.57974i | 0.552521 | − | 0.266080i | −0.136723 | − | 0.990609i | \(-0.543657\pi\) |
0.689244 | + | 0.724529i | \(0.257943\pi\) | |||||||
\(182\) | −5.05973 | + | 1.14744i | −0.375052 | + | 0.0850537i | ||||
\(183\) | −7.05843 | − | 3.39916i | −0.521774 | − | 0.251273i | ||||
\(184\) | −3.33767 | − | 3.09690i | −0.246056 | − | 0.228307i | ||||
\(185\) | −0.371070 | − | 0.0559297i | −0.0272816 | − | 0.00411204i | ||||
\(186\) | 19.5596 | + | 33.8782i | 1.43418 | + | 2.48407i | ||||
\(187\) | −3.40460 | − | 3.15901i | −0.248969 | − | 0.231010i | ||||
\(188\) | −0.924176 | + | 4.04908i | −0.0674025 | + | 0.295310i | ||||
\(189\) | 11.6540 | + | 4.59259i | 0.847700 | + | 0.334061i | ||||
\(190\) | 0.767482 | − | 0.369600i | 0.0556790 | − | 0.0268136i | ||||
\(191\) | −1.12374 | + | 14.9953i | −0.0813111 | + | 1.08502i | 0.796063 | + | 0.605214i | \(0.206912\pi\) |
−0.877374 | + | 0.479807i | \(0.840707\pi\) | |||||||
\(192\) | −14.8445 | + | 13.7737i | −1.07131 | + | 0.994030i | ||||
\(193\) | −2.53708 | + | 0.782587i | −0.182623 | + | 0.0563318i | −0.384718 | − | 0.923034i | \(-0.625701\pi\) |
0.202095 | + | 0.979366i | \(0.435225\pi\) | |||||||
\(194\) | 13.1251 | + | 12.1783i | 0.942325 | + | 0.874350i | ||||
\(195\) | −0.128217 | −0.00918179 | ||||||||
\(196\) | 3.71464 | + | 16.4865i | 0.265332 | + | 1.17761i | ||||
\(197\) | 4.72656 | − | 20.7084i | 0.336754 | − | 1.47541i | −0.469018 | − | 0.883189i | \(-0.655392\pi\) |
0.805772 | − | 0.592226i | \(-0.201751\pi\) | |||||||
\(198\) | 0.730014 | − | 0.497715i | 0.0518798 | − | 0.0353711i | ||||
\(199\) | 7.91868 | − | 2.44259i | 0.561340 | − | 0.173150i | −0.00108399 | − | 0.999999i | \(-0.500345\pi\) |
0.562424 | + | 0.826849i | \(0.309869\pi\) | |||||||
\(200\) | 3.59171 | + | 2.44878i | 0.253972 | + | 0.173155i | ||||
\(201\) | −9.08362 | + | 6.19311i | −0.640709 | + | 0.436828i | ||||
\(202\) | 15.9144 | 1.11973 | ||||||||
\(203\) | −15.9062 | + | 1.16972i | −1.11639 | + | 0.0820984i | ||||
\(204\) | −4.97869 | + | 21.8131i | −0.348578 | + | 1.52722i | ||||
\(205\) | 0.380351 | + | 0.117323i | 0.0265648 | + | 0.00819417i | ||||
\(206\) | −0.0282911 | − | 0.377518i | −0.00197113 | − | 0.0263029i | ||||
\(207\) | −0.863212 | + | 2.19943i | −0.0599974 | + | 0.152871i | ||||
\(208\) | 2.76863 | − | 0.417303i | 0.191970 | − | 0.0289348i | ||||
\(209\) | 4.59975 | − | 2.21512i | 0.318171 | − | 0.153223i | ||||
\(210\) | −0.00106377 | + | 0.763629i | −7.34068e−5 | + | 0.0526954i | ||||
\(211\) | 0.378373 | − | 1.65776i | 0.0260483 | − | 0.114125i | −0.960232 | − | 0.279202i | \(-0.909930\pi\) |
0.986281 | + | 0.165077i | \(0.0527873\pi\) | |||||||
\(212\) | 0.533437 | + | 0.164543i | 0.0366366 | + | 0.0113009i | ||||
\(213\) | 1.75628 | + | 0.264717i | 0.120338 | + | 0.0181381i | ||||
\(214\) | 2.06766 | + | 27.5909i | 0.141342 | + | 1.88608i | ||||
\(215\) | 0.0983584 | − | 0.0148251i | 0.00670799 | − | 0.00101107i | ||||
\(216\) | 3.71263 | + | 1.78791i | 0.252612 | + | 0.121652i | ||||
\(217\) | −26.4383 | − | 2.01832i | −1.79475 | − | 0.137012i | ||||
\(218\) | −7.13935 | − | 31.2795i | −0.483538 | − | 2.11852i | ||||
\(219\) | 18.7128 | + | 5.77213i | 1.26449 | + | 0.390045i | ||||
\(220\) | −0.137330 | − | 0.0936301i | −0.00925880 | − | 0.00631254i | ||||
\(221\) | 3.41288 | − | 3.16669i | 0.229575 | − | 0.213014i | ||||
\(222\) | 7.23742 | + | 18.4406i | 0.485744 | + | 1.23765i | ||||
\(223\) | 14.7655 | + | 18.5153i | 0.988769 | + | 1.23988i | 0.970763 | + | 0.240039i | \(0.0771603\pi\) |
0.0180058 | + | 0.999838i | \(0.494268\pi\) | |||||||
\(224\) | −3.14247 | − | 21.0478i | −0.209965 | − | 1.40632i | ||||
\(225\) | 0.501969 | − | 2.19927i | 0.0334646 | − | 0.146618i | ||||
\(226\) | −16.2572 | + | 28.1583i | −1.08141 | + | 1.87306i | ||||
\(227\) | 0.113607 | + | 0.0171235i | 0.00754037 | + | 0.00113653i | 0.152811 | − | 0.988255i | \(-0.451167\pi\) |
−0.145271 | + | 0.989392i | \(0.546405\pi\) | |||||||
\(228\) | −20.3208 | − | 13.8545i | −1.34578 | − | 0.917538i | ||||
\(229\) | −20.8953 | − | 6.44534i | −1.38080 | − | 0.425920i | −0.486614 | − | 0.873617i | \(-0.661768\pi\) |
−0.894185 | + | 0.447697i | \(0.852244\pi\) | |||||||
\(230\) | 0.812695 | 0.0535876 | ||||||||
\(231\) | −0.00637546 | + | 4.57666i | −0.000419475 | + | 0.301122i | ||||
\(232\) | −5.24672 | −0.344464 | ||||||||
\(233\) | 8.78419 | − | 1.32400i | 0.575471 | − | 0.0867383i | 0.145143 | − | 0.989411i | \(-0.453636\pi\) |
0.430328 | + | 0.902672i | \(0.358398\pi\) | |||||||
\(234\) | 0.442843 | + | 0.767026i | 0.0289495 | + | 0.0501421i | ||||
\(235\) | −0.0636006 | − | 0.110159i | −0.00414884 | − | 0.00718601i | ||||
\(236\) | −30.6788 | + | 4.62409i | −1.99702 | + | 0.301003i | ||||
\(237\) | −0.711830 | + | 0.892606i | −0.0462383 | + | 0.0579810i | ||||
\(238\) | −18.8317 | − | 20.3526i | −1.22068 | − | 1.31926i | ||||
\(239\) | −0.459730 | − | 0.576483i | −0.0297374 | − | 0.0372896i | 0.766740 | − | 0.641957i | \(-0.221877\pi\) |
−0.796478 | + | 0.604668i | \(0.793306\pi\) | |||||||
\(240\) | 0.0307966 | − | 0.410953i | 0.00198791 | − | 0.0265269i | ||||
\(241\) | 14.4909 | + | 2.18415i | 0.933441 | + | 0.140694i | 0.598117 | − | 0.801409i | \(-0.295916\pi\) |
0.335324 | + | 0.942103i | \(0.391154\pi\) | |||||||
\(242\) | 17.5904 | + | 11.9930i | 1.13076 | + | 0.770936i | ||||
\(243\) | 0.347923 | − | 4.64271i | 0.0223193 | − | 0.297830i | ||||
\(244\) | 9.17230 | − | 4.41715i | 0.587196 | − | 0.282779i | ||||
\(245\) | −0.426842 | − | 0.292761i | −0.0272699 | − | 0.0187038i | ||||
\(246\) | −4.67566 | − | 20.4854i | −0.298109 | − | 1.30610i | ||||
\(247\) | 1.86972 | + | 4.76397i | 0.118967 | + | 0.303124i | ||||
\(248\) | −8.62520 | − | 1.30004i | −0.547701 | − | 0.0825526i | ||||
\(249\) | 24.5291 | + | 3.69716i | 1.55447 | + | 0.234298i | ||||
\(250\) | −1.53534 | + | 0.231415i | −0.0971034 | + | 0.0146360i | ||||
\(251\) | −1.84857 | + | 8.09913i | −0.116681 | + | 0.511212i | 0.882484 | + | 0.470343i | \(0.155870\pi\) |
−0.999165 | + | 0.0408692i | \(0.986987\pi\) | |||||||
\(252\) | 2.50048 | − | 1.43901i | 0.157515 | − | 0.0906492i | ||||
\(253\) | 4.87072 | 0.306220 | ||||||||
\(254\) | −22.1009 | − | 8.49486i | −1.38673 | − | 0.533015i | ||||
\(255\) | −0.342627 | − | 0.593447i | −0.0214561 | − | 0.0371631i | ||||
\(256\) | 0.559293 | + | 7.46325i | 0.0349558 | + | 0.466453i | ||||
\(257\) | 3.61935 | + | 3.35826i | 0.225769 | + | 0.209483i | 0.784944 | − | 0.619567i | \(-0.212692\pi\) |
−0.559175 | + | 0.829049i | \(0.688882\pi\) | |||||||
\(258\) | −3.27394 | − | 4.10539i | −0.203827 | − | 0.255590i | ||||
\(259\) | −13.0866 | − | 3.00611i | −0.813159 | − | 0.186790i | ||||
\(260\) | 0.103883 | − | 0.130265i | 0.00644254 | − | 0.00807869i | ||||
\(261\) | 0.994711 | + | 2.53448i | 0.0615711 | + | 0.156881i | ||||
\(262\) | 11.2822 | − | 10.4684i | 0.697019 | − | 0.646740i | ||||
\(263\) | 1.52672 | + | 20.3727i | 0.0941419 | + | 1.25624i | 0.821592 | + | 0.570075i | \(0.193086\pi\) |
−0.727450 | + | 0.686160i | \(0.759295\pi\) | |||||||
\(264\) | −0.112511 | + | 1.50136i | −0.00692458 | + | 0.0924021i | ||||
\(265\) | −0.0154041 | + | 0.00741822i | −0.000946266 | + | 0.000455698i | ||||
\(266\) | 28.3886 | − | 11.0961i | 1.74062 | − | 0.680345i | ||||
\(267\) | −12.1793 | + | 15.2724i | −0.745362 | + | 0.934654i | ||||
\(268\) | 1.06763 | − | 14.2465i | 0.0652156 | − | 0.870241i | ||||
\(269\) | 5.45617 | − | 13.9021i | 0.332669 | − | 0.847626i | −0.662465 | − | 0.749093i | \(-0.730490\pi\) |
0.995134 | − | 0.0985331i | \(-0.0314150\pi\) | |||||||
\(270\) | −0.702838 | + | 0.216797i | −0.0427733 | + | 0.0131938i | ||||
\(271\) | −2.88130 | − | 7.34143i | −0.175026 | − | 0.445960i | 0.816260 | − | 0.577685i | \(-0.196044\pi\) |
−0.991286 | + | 0.131725i | \(0.957949\pi\) | |||||||
\(272\) | 9.32993 | + | 11.6994i | 0.565710 | + | 0.709378i | ||||
\(273\) | −4.57447 | − | 0.349218i | −0.276859 | − | 0.0211356i | ||||
\(274\) | 39.2247 | 2.36965 | ||||||||
\(275\) | −4.59836 | + | 0.693091i | −0.277291 | + | 0.0417949i | ||||
\(276\) | −11.7321 | − | 20.3206i | −0.706189 | − | 1.22316i | ||||
\(277\) | −0.380438 | − | 5.07659i | −0.0228583 | − | 0.305023i | −0.996901 | − | 0.0786606i | \(-0.974936\pi\) |
0.974043 | − | 0.226362i | \(-0.0726834\pi\) | |||||||
\(278\) | 17.7876 | − | 30.8091i | 1.06683 | − | 1.84781i | ||||
\(279\) | 1.00723 | + | 4.41296i | 0.0603013 | + | 0.264197i | ||||
\(280\) | −0.132975 | − | 0.106348i | −0.00794678 | − | 0.00635548i | ||||
\(281\) | −7.61585 | + | 9.54997i | −0.454323 | + | 0.569703i | −0.955255 | − | 0.295783i | \(-0.904419\pi\) |
0.500932 | + | 0.865487i | \(0.332991\pi\) | |||||||
\(282\) | −3.35748 | + | 5.81532i | −0.199935 | + | 0.346297i | ||||
\(283\) | 10.2720 | − | 3.16848i | 0.610605 | − | 0.188347i | 0.0259962 | − | 0.999662i | \(-0.491724\pi\) |
0.584609 | + | 0.811315i | \(0.301248\pi\) | |||||||
\(284\) | −1.69191 | + | 1.56986i | −0.100396 | + | 0.0931542i | ||||
\(285\) | 0.744844 | − | 0.112267i | 0.0441208 | − | 0.00665013i | ||||
\(286\) | 1.13837 | − | 1.42747i | 0.0673132 | − | 0.0844081i | ||||
\(287\) | 13.2505 | + | 5.22174i | 0.782150 | + | 0.308230i | ||||
\(288\) | −3.27315 | + | 1.57627i | −0.192872 | + | 0.0928823i | ||||
\(289\) | 7.53222 | + | 2.32338i | 0.443072 | + | 0.136669i | ||||
\(290\) | 0.686503 | − | 0.636981i | 0.0403128 | − | 0.0374048i | ||||
\(291\) | 7.91630 | + | 13.7114i | 0.464061 | + | 0.803778i | ||||
\(292\) | −21.0257 | + | 14.3351i | −1.23044 | + | 0.838897i | ||||
\(293\) | 3.10056 | + | 3.88798i | 0.181137 | + | 0.227138i | 0.864107 | − | 0.503308i | \(-0.167884\pi\) |
−0.682971 | + | 0.730446i | \(0.739312\pi\) | |||||||
\(294\) | −2.11781 | + | 27.2416i | −0.123513 | + | 1.58876i | ||||
\(295\) | 0.592452 | − | 0.742912i | 0.0344939 | − | 0.0432540i | ||||
\(296\) | −4.22091 | − | 1.30198i | −0.245336 | − | 0.0756760i | ||||
\(297\) | −4.21232 | + | 1.29933i | −0.244423 | + | 0.0753946i | ||||
\(298\) | −3.59703 | − | 47.9990i | −0.208370 | − | 2.78051i | ||||
\(299\) | −0.364874 | + | 4.86891i | −0.0211012 | + | 0.281576i | ||||
\(300\) | 13.9676 | + | 17.5148i | 0.806420 | + | 1.01122i | ||||
\(301\) | 3.54957 | − | 0.261032i | 0.204594 | − | 0.0150456i | ||||
\(302\) | −31.7822 | − | 15.3055i | −1.82886 | − | 0.880732i | ||||
\(303\) | 13.4474 | + | 4.14797i | 0.772532 | + | 0.238295i | ||||
\(304\) | −15.7183 | + | 4.84845i | −0.901505 | + | 0.278078i | ||||
\(305\) | −0.113913 | + | 0.290246i | −0.00652265 | + | 0.0166194i | ||||
\(306\) | −2.36677 | + | 4.09937i | −0.135299 | + | 0.234345i | ||||
\(307\) | −11.9413 | − | 5.75063i | −0.681526 | − | 0.328206i | 0.0608904 | − | 0.998144i | \(-0.480606\pi\) |
−0.742416 | + | 0.669939i | \(0.766320\pi\) | |||||||
\(308\) | −4.64460 | − | 3.71454i | −0.264651 | − | 0.211656i | ||||
\(309\) | 0.0744920 | − | 0.326371i | 0.00423770 | − | 0.0185666i | ||||
\(310\) | 1.28639 | − | 0.877045i | 0.0730619 | − | 0.0498128i | ||||
\(311\) | −19.1733 | + | 5.91419i | −1.08722 | + | 0.335363i | −0.786022 | − | 0.618199i | \(-0.787863\pi\) |
−0.301198 | + | 0.953562i | \(0.597386\pi\) | |||||||
\(312\) | −1.49237 | − | 0.224938i | −0.0844887 | − | 0.0127346i | ||||
\(313\) | 9.88268 | − | 17.1173i | 0.558602 | − | 0.967527i | −0.439011 | − | 0.898481i | \(-0.644671\pi\) |
0.997613 | − | 0.0690457i | \(-0.0219954\pi\) | |||||||
\(314\) | 4.61060 | − | 20.2003i | 0.260191 | − | 1.13997i | ||||
\(315\) | −0.0261619 | + | 0.0843971i | −0.00147405 | + | 0.00475524i | ||||
\(316\) | −0.330132 | − | 1.44640i | −0.0185714 | − | 0.0813665i | ||||
\(317\) | −0.110828 | + | 1.47889i | −0.00622470 | + | 0.0830629i | −0.999451 | − | 0.0331338i | \(-0.989451\pi\) |
0.993226 | + | 0.116197i | \(0.0370703\pi\) | |||||||
\(318\) | 0.745734 | + | 0.508433i | 0.0418187 | + | 0.0285115i | ||||
\(319\) | 4.11441 | − | 3.81762i | 0.230363 | − | 0.213746i | ||||
\(320\) | 0.590803 | + | 0.548185i | 0.0330269 | + | 0.0306445i | ||||
\(321\) | −5.44426 | + | 23.8528i | −0.303869 | + | 1.33134i | ||||
\(322\) | 28.9951 | + | 2.21350i | 1.61583 | + | 0.123354i | ||||
\(323\) | −17.0535 | + | 21.3844i | −0.948883 | + | 1.18986i | ||||
\(324\) | 17.9650 | + | 16.6691i | 0.998054 | + | 0.926059i | ||||
\(325\) | −0.348361 | − | 4.64856i | −0.0193236 | − | 0.257856i | ||||
\(326\) | 44.6527 | − | 13.7735i | 2.47309 | − | 0.762846i | ||||
\(327\) | 2.12016 | − | 28.2915i | 0.117245 | − | 1.56453i | ||||
\(328\) | 4.22124 | + | 2.03284i | 0.233079 | + | 0.112245i | ||||
\(329\) | −1.96908 | − | 4.10346i | −0.108559 | − | 0.226231i | ||||
\(330\) | −0.167552 | − | 0.210103i | −0.00922342 | − | 0.0115658i | ||||
\(331\) | −11.1363 | − | 10.3330i | −0.612106 | − | 0.567951i | 0.312003 | − | 0.950081i | \(-0.399000\pi\) |
−0.924109 | + | 0.382130i | \(0.875191\pi\) | |||||||
\(332\) | −23.6300 | + | 21.9254i | −1.29686 | + | 1.20331i | ||||
\(333\) | 0.171297 | + | 2.28579i | 0.00938700 | + | 0.125261i | ||||
\(334\) | 50.5085 | − | 7.61293i | 2.76370 | − | 0.416561i | ||||
\(335\) | 0.272810 | + | 0.342093i | 0.0149052 | + | 0.0186905i | ||||
\(336\) | 2.21804 | − | 14.5779i | 0.121004 | − | 0.795292i | ||||
\(337\) | 21.4372 | + | 10.3236i | 1.16776 | + | 0.562362i | 0.914321 | − | 0.404990i | \(-0.132725\pi\) |
0.253436 | + | 0.967352i | \(0.418439\pi\) | |||||||
\(338\) | −18.6803 | − | 17.3328i | −1.01608 | − | 0.942780i | ||||
\(339\) | −21.0764 | + | 19.5560i | −1.14471 | + | 1.06214i | ||||
\(340\) | 0.880528 | + | 0.132718i | 0.0477533 | + | 0.00719765i | ||||
\(341\) | 7.70971 | − | 5.25639i | 0.417504 | − | 0.284649i | ||||
\(342\) | −3.24420 | − | 4.06810i | −0.175426 | − | 0.219978i | ||||
\(343\) | −14.4313 | − | 11.6076i | −0.779219 | − | 0.626752i | ||||
\(344\) | 1.17084 | 0.0631276 | ||||||||
\(345\) | 0.686715 | + | 0.211824i | 0.0369715 | + | 0.0114042i | ||||
\(346\) | 18.3246 | − | 17.0028i | 0.985138 | − | 0.914074i | ||||
\(347\) | 25.1850 | + | 17.1708i | 1.35200 | + | 0.921778i | 0.999899 | − | 0.0141842i | \(-0.00451512\pi\) |
0.352101 | + | 0.935962i | \(0.385467\pi\) | |||||||
\(348\) | −25.8374 | − | 7.96979i | −1.38503 | − | 0.427226i | ||||
\(349\) | 16.2786 | − | 20.4127i | 0.871375 | − | 1.09267i | −0.123579 | − | 0.992335i | \(-0.539437\pi\) |
0.994954 | − | 0.100335i | \(-0.0319913\pi\) | |||||||
\(350\) | −27.6886 | + | 2.03619i | −1.48002 | + | 0.108839i | ||||
\(351\) | −0.983291 | − | 4.30808i | −0.0524842 | − | 0.229948i | ||||
\(352\) | 5.48991 | + | 5.09389i | 0.292613 | + | 0.271505i | ||||
\(353\) | 11.3074 | + | 19.5850i | 0.601834 | + | 1.04241i | 0.992543 | + | 0.121892i | \(0.0388963\pi\) |
−0.390710 | + | 0.920514i | \(0.627770\pi\) | |||||||
\(354\) | −49.6018 | − | 7.47627i | −2.63631 | − | 0.397360i | ||||
\(355\) | 0.00528257 | − | 0.0704909i | 0.000280369 | − | 0.00374127i | ||||
\(356\) | −5.64851 | − | 24.7478i | −0.299371 | − | 1.31163i | ||||
\(357\) | −10.6078 | − | 22.1060i | −0.561423 | − | 1.16997i | ||||
\(358\) | −11.4737 | − | 5.52546i | −0.606406 | − | 0.292030i | ||||
\(359\) | −0.672849 | + | 1.16541i | −0.0355116 | + | 0.0615079i | −0.883235 | − | 0.468931i | \(-0.844639\pi\) |
0.847723 | + | 0.530439i | \(0.177973\pi\) | |||||||
\(360\) | −0.0106194 | + | 0.0270578i | −0.000559693 | + | 0.00142607i | ||||
\(361\) | −5.53304 | − | 9.58350i | −0.291213 | − | 0.504395i | ||||
\(362\) | −8.66716 | + | 15.0120i | −0.455536 | + | 0.789012i | ||||
\(363\) | 11.7378 | + | 14.7187i | 0.616073 | + | 0.772531i | ||||
\(364\) | 4.06109 | − | 4.36460i | 0.212859 | − | 0.228767i | ||||
\(365\) | 0.173429 | − | 0.759844i | 0.00907771 | − | 0.0397721i | ||||
\(366\) | 16.2761 | − | 2.45322i | 0.850764 | − | 0.128232i | ||||
\(367\) | 0.588325 | + | 0.401113i | 0.0307103 | + | 0.0209379i | 0.578578 | − | 0.815627i | \(-0.303608\pi\) |
−0.547868 | + | 0.836565i | \(0.684560\pi\) | |||||||
\(368\) | −15.5179 | − | 2.33895i | −0.808926 | − | 0.121926i | ||||
\(369\) | 0.181692 | − | 2.42451i | 0.00945851 | − | 0.126215i | ||||
\(370\) | 0.710349 | − | 0.342086i | 0.0369293 | − | 0.0177842i | ||||
\(371\) | −0.569786 | + | 0.222709i | −0.0295818 | + | 0.0115625i | ||||
\(372\) | −40.4999 | − | 19.5037i | −2.09982 | − | 1.01122i | ||||
\(373\) | −8.08043 | − | 2.49248i | −0.418389 | − | 0.129056i | 0.0784109 | − | 0.996921i | \(-0.475015\pi\) |
−0.496800 | + | 0.867865i | \(0.665492\pi\) | |||||||
\(374\) | 9.64901 | + | 1.45435i | 0.498938 | + | 0.0752029i | ||||
\(375\) | −1.35766 | − | 0.204634i | −0.0701090 | − | 0.0105672i | ||||
\(376\) | −0.547015 | − | 1.39377i | −0.0282101 | − | 0.0718782i | ||||
\(377\) | 3.50798 | + | 4.39886i | 0.180670 | + | 0.226553i | ||||
\(378\) | −25.6661 | + | 5.82051i | −1.32012 | + | 0.299375i | ||||
\(379\) | 12.7407 | + | 6.13560i | 0.654446 | + | 0.315165i | 0.731479 | − | 0.681864i | \(-0.238830\pi\) |
−0.0770327 | + | 0.997029i | \(0.524545\pi\) | |||||||
\(380\) | −0.489422 | + | 0.847703i | −0.0251068 | + | 0.0434863i | ||||
\(381\) | −16.4608 | − | 12.9385i | −0.843311 | − | 0.662858i | ||||
\(382\) | −15.7968 | − | 27.3609i | −0.808236 | − | 1.39991i | ||||
\(383\) | −22.5437 | + | 15.3700i | −1.15193 | + | 0.785372i | −0.979855 | − | 0.199712i | \(-0.935999\pi\) |
−0.172074 | + | 0.985084i | \(0.555047\pi\) | |||||||
\(384\) | 2.81681 | − | 12.3413i | 0.143745 | − | 0.629787i | ||||
\(385\) | 0.181658 | − | 0.0133589i | 0.00925815 | − | 0.000680834i | ||||
\(386\) | 3.47800 | − | 4.36127i | 0.177025 | − | 0.221983i | ||||
\(387\) | −0.221977 | − | 0.565588i | −0.0112837 | − | 0.0287505i | ||||
\(388\) | −20.3443 | − | 3.06642i | −1.03283 | − | 0.155674i | ||||
\(389\) | −7.36022 | + | 6.82929i | −0.373178 | + | 0.346259i | −0.844359 | − | 0.535778i | \(-0.820018\pi\) |
0.471181 | + | 0.882037i | \(0.343828\pi\) | |||||||
\(390\) | 0.222576 | − | 0.151750i | 0.0112706 | − | 0.00768416i | ||||
\(391\) | −23.5106 | + | 11.3221i | −1.18898 | + | 0.572584i | ||||
\(392\) | −4.45459 | − | 4.15641i | −0.224991 | − | 0.209930i | ||||
\(393\) | 12.2618 | − | 5.90499i | 0.618528 | − | 0.297867i | ||||
\(394\) | 16.3043 | + | 41.5427i | 0.821399 | + | 2.09289i | ||||
\(395\) | 0.0375430 | + | 0.0255964i | 0.00188899 | + | 0.00128789i | ||||
\(396\) | −0.370919 | + | 0.945086i | −0.0186394 | + | 0.0474923i | ||||
\(397\) | −9.93610 | − | 9.21936i | −0.498679 | − | 0.462706i | 0.390278 | − | 0.920697i | \(-0.372379\pi\) |
−0.888957 | + | 0.457991i | \(0.848569\pi\) | |||||||
\(398\) | −10.8554 | + | 13.6123i | −0.544134 | + | 0.682322i | ||||
\(399\) | 26.8801 | − | 1.97673i | 1.34569 | − | 0.0989603i | ||||
\(400\) | 14.9830 | 0.749148 | ||||||||
\(401\) | 5.18500 | − | 8.98069i | 0.258927 | − | 0.448474i | −0.707028 | − | 0.707186i | \(-0.749964\pi\) |
0.965955 | + | 0.258711i | \(0.0832978\pi\) | |||||||
\(402\) | 8.43880 | − | 21.5017i | 0.420889 | − | 1.07241i | ||||
\(403\) | 4.67688 | + | 8.10059i | 0.232972 | + | 0.403519i | ||||
\(404\) | −15.1095 | + | 10.3015i | −0.751725 | + | 0.512517i | ||||
\(405\) | −0.750584 | −0.0372968 | ||||||||
\(406\) | 26.2277 | − | 20.8562i | 1.30166 | − | 1.03508i | ||||
\(407\) | 4.25733 | − | 2.05022i | 0.211028 | − | 0.101626i | ||||
\(408\) | −2.94686 | − | 7.50847i | −0.145891 | − | 0.371725i | ||||
\(409\) | −8.59918 | − | 14.8942i | −0.425202 | − | 0.736472i | 0.571237 | − | 0.820785i | \(-0.306464\pi\) |
−0.996439 | + | 0.0843134i | \(0.973130\pi\) | |||||||
\(410\) | −0.799122 | + | 0.246496i | −0.0394658 | + | 0.0121736i | ||||
\(411\) | 33.1442 | + | 10.2236i | 1.63488 | + | 0.504295i | ||||
\(412\) | 0.271230 | + | 0.340112i | 0.0133625 | + | 0.0167561i | ||||
\(413\) | 23.1607 | − | 24.8917i | 1.13967 | − | 1.22484i | ||||
\(414\) | −1.10463 | − | 4.83972i | −0.0542898 | − | 0.237859i | ||||
\(415\) | 0.0737788 | − | 0.984509i | 0.00362166 | − | 0.0483277i | ||||
\(416\) | −5.50325 | + | 5.10627i | −0.269819 | + | 0.250355i | ||||
\(417\) | 23.0605 | − | 21.3970i | 1.12928 | − | 1.04782i | ||||
\(418\) | −5.36319 | + | 9.28931i | −0.262322 | + | 0.454355i | ||||
\(419\) | −34.5371 | − | 16.6322i | −1.68725 | − | 0.812536i | −0.995944 | − | 0.0899711i | \(-0.971323\pi\) |
−0.691303 | − | 0.722565i | \(-0.742963\pi\) | |||||||
\(420\) | −0.493292 | − | 0.725697i | −0.0240702 | − | 0.0354104i | ||||
\(421\) | −1.23612 | − | 0.595282i | −0.0602446 | − | 0.0290123i | 0.403519 | − | 0.914971i | \(-0.367787\pi\) |
−0.463763 | + | 0.885959i | \(0.653501\pi\) | |||||||
\(422\) | 1.30520 | + | 3.32559i | 0.0635361 | + | 0.161887i | ||||
\(423\) | −0.569568 | + | 0.528482i | −0.0276934 | + | 0.0256957i | ||||
\(424\) | −0.192309 | + | 0.0593195i | −0.00933935 | + | 0.00288081i | ||||
\(425\) | 20.5848 | − | 14.0345i | 0.998509 | − | 0.680772i | ||||
\(426\) | −3.36210 | + | 1.61910i | −0.162894 | + | 0.0784458i | ||||
\(427\) | −4.85468 | + | 10.0450i | −0.234935 | + | 0.486113i | ||||
\(428\) | −19.8229 | − | 24.8571i | −0.958175 | − | 1.20151i | ||||
\(429\) | 1.33397 | − | 0.909483i | 0.0644045 | − | 0.0439102i | ||||
\(430\) | −0.153198 | + | 0.142147i | −0.00738786 | + | 0.00685493i | ||||
\(431\) | 14.8188 | − | 4.57099i | 0.713796 | − | 0.220177i | 0.0834732 | − | 0.996510i | \(-0.473399\pi\) |
0.630323 | + | 0.776333i | \(0.282922\pi\) | |||||||
\(432\) | 14.0442 | − | 2.11682i | 0.675701 | − | 0.101845i | ||||
\(433\) | −31.6508 | −1.52104 | −0.760519 | − | 0.649316i | \(-0.775055\pi\) | ||||
−0.760519 | + | 0.649316i | \(0.775055\pi\) | |||||||
\(434\) | 48.2841 | − | 27.7872i | 2.31771 | − | 1.33383i | ||||
\(435\) | 0.746109 | − | 0.359307i | 0.0357732 | − | 0.0172275i | ||||
\(436\) | 27.0257 | + | 25.0762i | 1.29430 | + | 1.20093i | ||||
\(437\) | −2.14359 | − | 28.6042i | −0.102542 | − | 1.36833i | ||||
\(438\) | −39.3158 | + | 12.1273i | −1.87858 | + | 0.579466i | ||||
\(439\) | 6.38037 | + | 16.2569i | 0.304518 | + | 0.775900i | 0.998439 | + | 0.0558486i | \(0.0177864\pi\) |
−0.693921 | + | 0.720051i | \(0.744118\pi\) | |||||||
\(440\) | 0.0599207 | 0.00285661 | ||||||||
\(441\) | −1.16326 | + | 2.93984i | −0.0553935 | + | 0.139992i | ||||
\(442\) | −2.17663 | + | 9.53646i | −0.103532 | + | 0.453603i | ||||
\(443\) | 12.8483 | + | 3.96316i | 0.610439 | + | 0.188295i | 0.584534 | − | 0.811369i | \(-0.301277\pi\) |
0.0259045 | + | 0.999664i | \(0.491753\pi\) | |||||||
\(444\) | −18.8081 | − | 12.8232i | −0.892594 | − | 0.608561i | ||||
\(445\) | 0.642357 | + | 0.437951i | 0.0304506 | + | 0.0207609i | ||||
\(446\) | −47.5456 | − | 14.6659i | −2.25135 | − | 0.694450i | ||||
\(447\) | 9.47119 | − | 41.4960i | 0.447972 | − | 1.96269i | ||||
\(448\) | 19.5854 | + | 21.1671i | 0.925323 | + | 1.00005i | ||||
\(449\) | −11.5839 | −0.546680 | −0.273340 | − | 0.961917i | \(-0.588128\pi\) | ||||
−0.273340 | + | 0.961917i | \(0.588128\pi\) | |||||||
\(450\) | 1.73154 | + | 4.41190i | 0.0816257 | + | 0.207979i | ||||
\(451\) | −4.78937 | + | 1.47733i | −0.225523 | + | 0.0695646i | ||||
\(452\) | −2.79207 | − | 37.2576i | −0.131328 | − | 1.75245i | ||||
\(453\) | −22.8662 | − | 21.2167i | −1.07435 | − | 0.996848i | ||||
\(454\) | −0.217481 | + | 0.104734i | −0.0102069 | + | 0.00491539i | ||||
\(455\) | −0.000254356 | 0.182591i | −1.19244e−5 | 0.00855999i | ||||||
\(456\) | 8.86651 | 0.415212 | ||||||||
\(457\) | 15.7692 | − | 2.37682i | 0.737651 | − | 0.111183i | 0.230539 | − | 0.973063i | \(-0.425951\pi\) |
0.507112 | + | 0.861880i | \(0.330713\pi\) | |||||||
\(458\) | 43.9013 | − | 13.5418i | 2.05137 | − | 0.632765i | ||||
\(459\) | 17.3122 | − | 16.0634i | 0.808065 | − | 0.749774i | ||||
\(460\) | −0.771593 | + | 0.526063i | −0.0359757 | + | 0.0245278i | ||||
\(461\) | −0.954557 | − | 1.19698i | −0.0444582 | − | 0.0557488i | 0.759105 | − | 0.650968i | \(-0.225637\pi\) |
−0.803564 | + | 0.595219i | \(0.797065\pi\) | |||||||
\(462\) | −5.40560 | − | 7.95234i | −0.251491 | − | 0.369976i | ||||
\(463\) | 0.539343 | − | 0.259734i | 0.0250654 | − | 0.0120709i | −0.421309 | − | 0.906917i | \(-0.638429\pi\) |
0.446374 | + | 0.894846i | \(0.352715\pi\) | |||||||
\(464\) | −14.9416 | + | 10.1870i | −0.693645 | + | 0.472919i | ||||
\(465\) | 1.31557 | − | 0.405801i | 0.0610083 | − | 0.0188186i | ||||
\(466\) | −13.6818 | + | 12.6949i | −0.633797 | + | 0.588078i | ||||
\(467\) | 4.96039 | + | 12.6389i | 0.229539 | + | 0.584857i | 0.998518 | − | 0.0544175i | \(-0.0173302\pi\) |
−0.768979 | + | 0.639274i | \(0.779235\pi\) | |||||||
\(468\) | −0.916947 | − | 0.441578i | −0.0423859 | − | 0.0204120i | ||||
\(469\) | 8.80147 | + | 12.9481i | 0.406414 | + | 0.597888i | ||||
\(470\) | 0.240785 | + | 0.115956i | 0.0111066 | + | 0.00534865i | ||||
\(471\) | 9.16097 | − | 15.8673i | 0.422115 | − | 0.731125i | ||||
\(472\) | 8.19914 | − | 7.60769i | 0.377396 | − | 0.350172i | ||||
\(473\) | −0.918161 | + | 0.851929i | −0.0422171 | + | 0.0391717i | ||||
\(474\) | 0.179255 | − | 2.39199i | 0.00823345 | − | 0.109868i | ||||
\(475\) | 6.09402 | + | 26.6997i | 0.279613 | + | 1.22506i | ||||
\(476\) | 31.0537 | + | 7.13333i | 1.42334 | + | 0.326955i | ||||
\(477\) | 0.0651142 | + | 0.0816506i | 0.00298137 | + | 0.00373852i | ||||
\(478\) | 1.48035 | + | 0.456629i | 0.0677098 | + | 0.0208857i | ||||
\(479\) | −4.10730 | + | 1.26694i | −0.187667 | + | 0.0578878i | −0.387164 | − | 0.922011i | \(-0.626545\pi\) |
0.199497 | + | 0.979898i | \(0.436069\pi\) | |||||||
\(480\) | 0.552484 | + | 0.956931i | 0.0252173 | + | 0.0436777i | ||||
\(481\) | 1.73053 | + | 4.40933i | 0.0789056 | + | 0.201048i | ||||
\(482\) | −27.7404 | + | 13.3591i | −1.26354 | + | 0.608488i | ||||
\(483\) | 23.9234 | + | 9.42774i | 1.08855 | + | 0.428977i | ||||
\(484\) | −24.4639 | −1.11200 | ||||||||
\(485\) | 0.520636 | − | 0.354964i | 0.0236409 | − | 0.0161181i | ||||
\(486\) | 4.89088 | + | 8.47125i | 0.221855 | + | 0.384264i | ||||
\(487\) | 8.27379 | − | 21.0813i | 0.374921 | − | 0.955284i | −0.611529 | − | 0.791222i | \(-0.709445\pi\) |
0.986450 | − | 0.164062i | \(-0.0524597\pi\) | |||||||
\(488\) | −1.83508 | + | 3.17845i | −0.0830702 | + | 0.143882i | ||||
\(489\) | 41.3209 | 1.86859 | ||||||||
\(490\) | 1.08747 | + | 0.00302978i | 0.0491268 | + | 0.000136871i | ||||
\(491\) | −20.9350 | + | 26.2517i | −0.944786 | + | 1.18472i | 0.0378699 | + | 0.999283i | \(0.487943\pi\) |
−0.982655 | + | 0.185441i | \(0.940629\pi\) | |||||||
\(492\) | 17.6995 | + | 16.4228i | 0.797957 | + | 0.740396i | ||||
\(493\) | −10.9858 | + | 27.9914i | −0.494776 | + | 1.26067i | ||||
\(494\) | −8.88408 | − | 6.05706i | −0.399714 | − | 0.272520i | ||||
\(495\) | −0.0113602 | − | 0.0289453i | −0.000510603 | − | 0.00130100i | ||||
\(496\) | −27.0869 | + | 13.0444i | −1.21624 | + | 0.585709i | ||||
\(497\) | 0.380463 | − | 2.50056i | 0.0170661 | − | 0.112166i | ||||
\(498\) | −46.9567 | + | 22.6132i | −2.10418 | + | 1.01332i | ||||
\(499\) | 23.6921 | − | 16.1530i | 1.06060 | − | 0.723106i | 0.0983188 | − | 0.995155i | \(-0.468654\pi\) |
0.962284 | + | 0.272049i | \(0.0877011\pi\) | |||||||
\(500\) | 1.30789 | − | 1.21355i | 0.0584907 | − | 0.0542715i | ||||
\(501\) | 44.6631 | + | 6.73189i | 1.99540 | + | 0.300758i | ||||
\(502\) | −6.37666 | − | 16.2475i | −0.284604 | − | 0.725160i | ||||
\(503\) | −12.5712 | + | 15.7638i | −0.560524 | + | 0.702875i | −0.978655 | − | 0.205512i | \(-0.934114\pi\) |
0.418131 | + | 0.908387i | \(0.362685\pi\) | |||||||
\(504\) | −0.452572 | + | 0.936436i | −0.0201592 | + | 0.0417122i | ||||
\(505\) | 0.124630 | − | 0.546039i | 0.00554595 | − | 0.0242984i | ||||
\(506\) | −8.45528 | + | 5.76471i | −0.375883 | + | 0.256273i | ||||
\(507\) | −11.2669 | − | 19.5148i | −0.500381 | − | 0.866685i | ||||
\(508\) | 26.4819 | − | 6.24081i | 1.17494 | − | 0.276891i | ||||
\(509\) | 13.2577 | − | 22.9630i | 0.587636 | − | 1.01782i | −0.406905 | − | 0.913470i | \(-0.633392\pi\) |
0.994541 | − | 0.104345i | \(-0.0332745\pi\) | |||||||
\(510\) | 1.29715 | + | 0.624674i | 0.0574387 | + | 0.0276610i | ||||
\(511\) | 8.25711 | − | 26.6371i | 0.365273 | − | 1.17836i | ||||
\(512\) | −18.3003 | − | 22.9479i | −0.808767 | − | 1.01416i | ||||
\(513\) | 9.48437 | + | 24.1658i | 0.418745 | + | 1.06694i | ||||
\(514\) | −10.2576 | − | 1.54609i | −0.452444 | − | 0.0681950i | ||||
\(515\) | −0.0131746 | − | 0.00198575i | −0.000580543 | − | 8.75027e-5i | ||||
\(516\) | 5.76580 | + | 1.77852i | 0.253825 | + | 0.0782948i | ||||
\(517\) | 1.44310 | + | 0.694959i | 0.0634673 | + | 0.0305643i | ||||
\(518\) | 26.2753 | − | 10.2701i | 1.15447 | − | 0.451242i | ||||
\(519\) | 19.9157 | − | 9.59088i | 0.874201 | − | 0.420993i | ||||
\(520\) | −0.00448876 | + | 0.0598983i | −0.000196845 | + | 0.00262672i | ||||
\(521\) | −25.6703 | − | 3.86917i | −1.12464 | − | 0.169512i | −0.439721 | − | 0.898135i | \(-0.644923\pi\) |
−0.684915 | + | 0.728623i | \(0.740161\pi\) | |||||||
\(522\) | −4.72643 | − | 3.22242i | −0.206870 | − | 0.141042i | ||||
\(523\) | −32.2873 | + | 4.86653i | −1.41183 | + | 0.212799i | −0.810282 | − | 0.586040i | \(-0.800686\pi\) |
−0.601545 | + | 0.798839i | \(0.705448\pi\) | |||||||
\(524\) | −3.93538 | + | 17.2420i | −0.171918 | + | 0.753221i | ||||
\(525\) | −23.9272 | − | 5.49631i | −1.04427 | − | 0.239878i | ||||
\(526\) | −26.7623 | − | 33.5589i | −1.16689 | − | 1.46324i | ||||
\(527\) | −24.9956 | + | 43.2936i | −1.08882 | + | 1.88590i | ||||
\(528\) | 2.59461 | + | 4.49400i | 0.112916 | + | 0.195576i | ||||
\(529\) | 1.59518 | − | 4.06446i | 0.0693559 | − | 0.176716i | ||||
\(530\) | 0.0179608 | − | 0.0311090i | 0.000780166 | − | 0.00135129i | ||||
\(531\) | −5.22942 | − | 2.51836i | −0.226938 | − | 0.109287i | ||||
\(532\) | −19.7703 | + | 28.9110i | −0.857150 | + | 1.25345i | ||||
\(533\) | −1.11799 | − | 4.89826i | −0.0484257 | − | 0.212167i | ||||
\(534\) | 3.06703 | − | 40.9267i | 0.132723 | − | 1.77107i | ||||
\(535\) | 0.962868 | + | 0.145129i | 0.0416284 | + | 0.00627447i | ||||
\(536\) | 2.57519 | + | 4.46037i | 0.111231 | + | 0.192658i | ||||
\(537\) | −8.25496 | − | 7.65948i | −0.356228 | − | 0.330531i | ||||
\(538\) | 6.98215 | + | 30.5908i | 0.301022 | + | 1.31886i | ||||
\(539\) | 6.51751 | + | 0.0181583i | 0.280729 | + | 0.000782135i | ||||
\(540\) | 0.526957 | − | 0.660784i | 0.0226766 | − | 0.0284356i | ||||
\(541\) | −19.3933 | − | 5.98203i | −0.833781 | − | 0.257187i | −0.151666 | − | 0.988432i | \(-0.548464\pi\) |
−0.682116 | + | 0.731244i | \(0.738940\pi\) | |||||||
\(542\) | 13.6907 | + | 9.33414i | 0.588064 | + | 0.400935i | ||||
\(543\) | −11.2364 | + | 10.4258i | −0.482200 | + | 0.447416i | ||||
\(544\) | −38.3403 | − | 11.8264i | −1.64383 | − | 0.507053i | ||||
\(545\) | −1.12914 | −0.0483673 | ||||||||
\(546\) | 8.35431 | − | 4.80786i | 0.357532 | − | 0.205757i | ||||
\(547\) | 10.0361 | + | 12.5849i | 0.429113 | + | 0.538090i | 0.948638 | − | 0.316365i | \(-0.102462\pi\) |
−0.519525 | + | 0.854455i | \(0.673891\pi\) | |||||||
\(548\) | −37.2408 | + | 25.3904i | −1.59085 | + | 1.08462i | ||||
\(549\) | 1.88329 | + | 0.283861i | 0.0803769 | + | 0.0121149i | ||||
\(550\) | 7.16216 | − | 6.64551i | 0.305396 | − | 0.283366i | ||||
\(551\) | −24.2304 | − | 22.4825i | −1.03225 | − | 0.957788i | ||||
\(552\) | 7.62135 | + | 3.67025i | 0.324386 | + | 0.156216i | ||||
\(553\) | 1.26973 | + | 1.01547i | 0.0539945 | + | 0.0431823i | ||||
\(554\) | 6.66879 | + | 8.36239i | 0.283330 | + | 0.355284i | ||||
\(555\) | 0.689397 | − | 0.103910i | 0.0292633 | − | 0.00441073i | ||||
\(556\) | 3.05491 | + | 40.7650i | 0.129557 | + | 1.72882i | ||||
\(557\) | −21.9680 | + | 20.3834i | −0.930816 | + | 0.863671i | −0.990911 | − | 0.134522i | \(-0.957050\pi\) |
0.0600946 | + | 0.998193i | \(0.480860\pi\) | |||||||
\(558\) | −6.97142 | − | 6.46853i | −0.295124 | − | 0.273835i | ||||
\(559\) | −0.782830 | − | 0.981637i | −0.0331102 | − | 0.0415188i | ||||
\(560\) | −0.585169 | − | 0.0446721i | −0.0247279 | − | 0.00188774i | ||||
\(561\) | 7.77420 | + | 3.74386i | 0.328227 | + | 0.158066i | ||||
\(562\) | 1.91784 | − | 25.5918i | 0.0808994 | − | 1.07953i | ||||
\(563\) | 44.0016 | − | 13.5727i | 1.85445 | − | 0.572021i | 0.855957 | − | 0.517046i | \(-0.172968\pi\) |
0.998488 | − | 0.0549744i | \(-0.0175077\pi\) | |||||||
\(564\) | −0.576625 | − | 7.69452i | −0.0242803 | − | 0.323998i | ||||
\(565\) | 0.838829 | + | 0.778319i | 0.0352898 | + | 0.0327441i | ||||
\(566\) | −14.0815 | + | 17.6576i | −0.591888 | + | 0.742204i | ||||
\(567\) | −26.7791 | − | 2.04433i | −1.12461 | − | 0.0858538i | ||||
\(568\) | 0.185153 | − | 0.811206i | 0.00776883 | − | 0.0340375i | ||||
\(569\) | 27.9912 | + | 25.9720i | 1.17345 | + | 1.08880i | 0.994477 | + | 0.104951i | \(0.0334685\pi\) |
0.178975 | + | 0.983854i | \(0.442722\pi\) | |||||||
\(570\) | −1.16013 | + | 1.07644i | −0.0485925 | + | 0.0450873i | ||||
\(571\) | −12.0952 | − | 8.24638i | −0.506169 | − | 0.345100i | 0.283158 | − | 0.959073i | \(-0.408618\pi\) |
−0.789327 | + | 0.613973i | \(0.789570\pi\) | |||||||
\(572\) | −0.156785 | + | 2.09215i | −0.00655551 | + | 0.0874772i | ||||
\(573\) | −6.21664 | − | 27.2369i | −0.259704 | − | 1.13784i | ||||
\(574\) | −29.1822 | + | 6.61788i | −1.21804 | + | 0.276225i | ||||
\(575\) | −5.81398 | + | 25.4727i | −0.242460 | + | 1.06229i | ||||
\(576\) | 2.46149 | − | 4.26342i | 0.102562 | − | 0.177643i | ||||
\(577\) | 13.6670 | + | 2.05997i | 0.568964 | + | 0.0857576i | 0.427223 | − | 0.904146i | \(-0.359492\pi\) |
0.141741 | + | 0.989904i | \(0.454730\pi\) | |||||||
\(578\) | −15.8253 | + | 4.88146i | −0.658245 | + | 0.203042i | ||||
\(579\) | 4.07559 | − | 2.77869i | 0.169376 | − | 0.115478i | ||||
\(580\) | −0.239460 | + | 1.04914i | −0.00994304 | + | 0.0435633i | ||||
\(581\) | 5.31372 | − | 34.9240i | 0.220450 | − | 1.44889i | ||||
\(582\) | −29.9703 | − | 14.4329i | −1.24231 | − | 0.598264i | ||||
\(583\) | 0.107644 | − | 0.186445i | 0.00445817 | − | 0.00772178i | ||||
\(584\) | 3.35166 | − | 8.53989i | 0.138693 | − | 0.353383i | ||||
\(585\) | 0.0297855 | − | 0.00918762i | 0.00123148 | − | 0.000379861i | ||||
\(586\) | −9.98398 | − | 3.07965i | −0.412434 | − | 0.127219i | ||||
\(587\) | 30.2115 | + | 14.5491i | 1.24696 | + | 0.600505i | 0.936696 | − | 0.350144i | \(-0.113868\pi\) |
0.310266 | + | 0.950650i | \(0.399582\pi\) | |||||||
\(588\) | −15.6230 | − | 27.2347i | −0.644280 | − | 1.12314i | ||||
\(589\) | −34.2621 | − | 42.9634i | −1.41175 | − | 1.77027i | ||||
\(590\) | −0.149193 | + | 1.99084i | −0.00614218 | + | 0.0819617i | ||||
\(591\) | 2.94906 | + | 39.3525i | 0.121308 | + | 1.61875i | ||||
\(592\) | −14.5482 | + | 4.48752i | −0.597927 | + | 0.184436i | ||||
\(593\) | −16.3238 | − | 5.03523i | −0.670339 | − | 0.206772i | −0.0591406 | − | 0.998250i | \(-0.518836\pi\) |
−0.611198 | + | 0.791477i | \(0.709312\pi\) | |||||||
\(594\) | 5.77451 | − | 7.24101i | 0.236931 | − | 0.297102i | ||||
\(595\) | −0.845796 | + | 0.486751i | −0.0346743 | + | 0.0199548i | ||||
\(596\) | 34.4852 | + | 43.2431i | 1.41257 | + | 1.77130i | ||||
\(597\) | −12.7206 | + | 8.67277i | −0.520620 | + | 0.354953i | ||||
\(598\) | −5.12916 | − | 8.88397i | −0.209747 | − | 0.363292i | ||||
\(599\) | −10.7063 | + | 9.93399i | −0.437447 | + | 0.405892i | −0.867914 | − | 0.496715i | \(-0.834540\pi\) |
0.430467 | + | 0.902607i | \(0.358349\pi\) | |||||||
\(600\) | −7.71744 | − | 2.38051i | −0.315063 | − | 0.0971841i | ||||
\(601\) | 5.99797 | − | 2.88847i | 0.244662 | − | 0.117823i | −0.307535 | − | 0.951537i | \(-0.599504\pi\) |
0.552197 | + | 0.833714i | \(0.313790\pi\) | |||||||
\(602\) | −5.85290 | + | 4.65421i | −0.238546 | + | 0.189691i | ||||
\(603\) | 1.66640 | − | 2.08960i | 0.0678611 | − | 0.0850952i | ||||
\(604\) | 40.0821 | − | 6.04141i | 1.63092 | − | 0.245821i | ||||
\(605\) | 0.549247 | − | 0.509627i | 0.0223301 | − | 0.0207193i | ||||
\(606\) | −28.2531 | + | 8.71494i | −1.14771 | + | 0.354020i | ||||
\(607\) | −5.31194 | + | 9.20055i | −0.215605 | + | 0.373439i | −0.953460 | − | 0.301521i | \(-0.902506\pi\) |
0.737855 | + | 0.674960i | \(0.235839\pi\) | |||||||
\(608\) | 27.4987 | − | 34.4823i | 1.11522 | − | 1.39844i | ||||
\(609\) | 27.5980 | − | 10.7871i | 1.11833 | − | 0.437115i | ||||
\(610\) | −0.145772 | − | 0.638671i | −0.00590215 | − | 0.0258590i | ||||
\(611\) | −0.802804 | + | 1.39050i | −0.0324780 | + | 0.0562535i | ||||
\(612\) | −0.406477 | − | 5.42407i | −0.0164309 | − | 0.219255i | ||||
\(613\) | 3.91491 | + | 6.78083i | 0.158122 | + | 0.273875i | 0.934191 | − | 0.356772i | \(-0.116123\pi\) |
−0.776070 | + | 0.630647i | \(0.782789\pi\) | |||||||
\(614\) | 27.5355 | − | 4.15030i | 1.11124 | − | 0.167493i | ||||
\(615\) | −0.739493 | −0.0298193 | ||||||||
\(616\) | 2.13783 | + | 0.163203i | 0.0861356 | + | 0.00657565i | ||||
\(617\) | 25.6207 | + | 32.1274i | 1.03145 | + | 1.29340i | 0.955089 | + | 0.296321i | \(0.0957597\pi\) |
0.0763639 | + | 0.997080i | \(0.475669\pi\) | |||||||
\(618\) | 0.256960 | + | 0.654724i | 0.0103365 | + | 0.0263369i | ||||
\(619\) | 29.9090 | − | 9.22569i | 1.20214 | − | 0.370812i | 0.371931 | − | 0.928260i | \(-0.378696\pi\) |
0.830211 | + | 0.557449i | \(0.188220\pi\) | |||||||
\(620\) | −0.653612 | + | 1.66538i | −0.0262497 | + | 0.0668831i | ||||
\(621\) | −1.85087 | + | 24.6981i | −0.0742727 | + | 0.991100i | ||||
\(622\) | 26.2840 | − | 32.9591i | 1.05389 | − | 1.32154i | ||||
\(623\) | 21.7249 | + | 17.3746i | 0.870391 | + | 0.696100i | ||||
\(624\) | −4.68669 | + | 2.25699i | −0.187618 | + | 0.0903519i | ||||
\(625\) | 1.86213 | − | 24.8483i | 0.0744850 | − | 0.993934i | ||||
\(626\) | 3.10334 | + | 41.4112i | 0.124034 | + | 1.65512i | ||||
\(627\) | −6.95301 | + | 6.45145i | −0.277676 | + | 0.257646i | ||||
\(628\) | 8.69841 | + | 22.1632i | 0.347104 | + | 0.884407i | ||||
\(629\) | −15.7840 | + | 19.7925i | −0.629351 | + | 0.789181i | ||||
\(630\) | −0.0544722 | − | 0.177472i | −0.00217023 | − | 0.00707065i | ||||
\(631\) | 24.6200 | + | 30.8725i | 0.980106 | + | 1.22901i | 0.973418 | + | 0.229037i | \(0.0735576\pi\) |
0.00668854 | + | 0.999978i | \(0.497871\pi\) | |||||||
\(632\) | 0.392074 | + | 0.363791i | 0.0155959 | + | 0.0144708i | ||||
\(633\) | 0.236080 | + | 3.15027i | 0.00938333 | + | 0.125212i | ||||
\(634\) | −1.55794 | − | 2.69844i | −0.0618738 | − | 0.107169i | ||||
\(635\) | −0.464546 | + | 0.691779i | −0.0184349 | + | 0.0274524i | ||||
\(636\) | −1.03713 | −0.0411249 | ||||||||
\(637\) | −0.506389 | + | 6.51372i | −0.0200639 | + | 0.258083i | ||||
\(638\) | −2.62406 | + | 11.4967i | −0.103887 | + | 0.455160i | ||||
\(639\) | −0.426964 | + | 0.0643545i | −0.0168904 | + | 0.00254582i | ||||
\(640\) | −0.498179 | − | 0.0750885i | −0.0196923 | − | 0.00296813i | ||||
\(641\) | −25.8627 | − | 3.89818i | −1.02152 | − | 0.153969i | −0.383137 | − | 0.923691i | \(-0.625156\pi\) |
−0.638378 | + | 0.769723i | \(0.720394\pi\) | |||||||
\(642\) | −18.7800 | − | 47.8506i | −0.741186 | − | 1.88851i | ||||
\(643\) | −6.85677 | − | 30.0415i | −0.270405 | − | 1.18472i | −0.909537 | − | 0.415623i | \(-0.863564\pi\) |
0.639133 | − | 0.769097i | \(-0.279294\pi\) | |||||||
\(644\) | −28.9614 | + | 16.6671i | −1.14124 | + | 0.656778i | ||||
\(645\) | −0.166500 | + | 0.0801820i | −0.00655591 | + | 0.00315716i | ||||
\(646\) | 4.29446 | − | 57.3056i | 0.168963 | − | 2.25466i | ||||
\(647\) | 20.5695 | + | 14.0240i | 0.808669 | + | 0.551341i | 0.895593 | − | 0.444874i | \(-0.146751\pi\) |
−0.0869244 | + | 0.996215i | \(0.527704\pi\) | |||||||
\(648\) | −8.73636 | − | 1.31679i | −0.343197 | − | 0.0517286i | ||||
\(649\) | −0.894158 | + | 11.9317i | −0.0350988 | + | 0.468360i | ||||
\(650\) | 6.10650 | + | 7.65731i | 0.239517 | + | 0.300345i | ||||
\(651\) | 48.0419 | − | 10.8949i | 1.88291 | − | 0.427003i | ||||
\(652\) | −33.4787 | + | 41.9810i | −1.31113 | + | 1.64410i | ||||
\(653\) | −2.87372 | + | 0.433143i | −0.112457 | + | 0.0169502i | −0.205030 | − | 0.978756i | \(-0.565729\pi\) |
0.0925725 | + | 0.995706i | \(0.470491\pi\) | |||||||
\(654\) | 29.8038 | + | 51.6217i | 1.16542 | + | 2.01857i | ||||
\(655\) | −0.270828 | − | 0.469087i | −0.0105821 | − | 0.0183288i | ||||
\(656\) | 15.9681 | − | 2.40681i | 0.623451 | − | 0.0939701i | ||||
\(657\) | −4.76071 | −0.185733 | ||||||||
\(658\) | 8.27482 | + | 4.79285i | 0.322586 | + | 0.186845i | ||||
\(659\) | −18.4662 | −0.719342 | −0.359671 | − | 0.933079i | \(-0.617111\pi\) | ||||
−0.359671 | + | 0.933079i | \(0.617111\pi\) | |||||||
\(660\) | 0.295079 | + | 0.0910198i | 0.0114859 | + | 0.00354294i | ||||
\(661\) | 26.1707 | + | 17.8429i | 1.01792 | + | 0.694007i | 0.952715 | − | 0.303865i | \(-0.0982773\pi\) |
0.0652057 | + | 0.997872i | \(0.479230\pi\) | |||||||
\(662\) | 31.5614 | + | 4.75712i | 1.22667 | + | 0.184891i | ||||
\(663\) | −4.32484 | + | 7.49084i | −0.167963 | + | 0.290920i | ||||
\(664\) | 2.58593 | − | 11.3297i | 0.100353 | − | 0.439677i | ||||
\(665\) | −0.158400 | − | 1.06094i | −0.00614248 | − | 0.0411415i | ||||
\(666\) | −3.00270 | − | 3.76526i | −0.116352 | − | 0.145901i | ||||
\(667\) | −11.5211 | − | 29.3553i | −0.446099 | − | 1.13664i | ||||
\(668\) | −43.0261 | + | 39.9224i | −1.66473 | + | 1.54464i | ||||
\(669\) | −36.3528 | − | 24.7849i | −1.40548 | − | 0.958239i | ||||
\(670\) | −0.878462 | − | 0.270970i | −0.0339380 | − | 0.0104685i | ||||
\(671\) | −0.873657 | − | 3.82774i | −0.0337272 | − | 0.147768i | ||||
\(672\) | 17.1050 | + | 35.6458i | 0.659839 | + | 1.37507i | ||||
\(673\) | 15.4297 | + | 7.43057i | 0.594773 | + | 0.286427i | 0.706953 | − | 0.707260i | \(-0.250069\pi\) |
−0.112180 | + | 0.993688i | \(0.535783\pi\) | |||||||
\(674\) | −49.4321 | + | 7.45068i | −1.90405 | + | 0.286990i | ||||
\(675\) | −1.76710 | − | 23.5803i | −0.0680158 | − | 0.907608i | ||||
\(676\) | 28.9552 | + | 4.36429i | 1.11366 | + | 0.167857i | ||||
\(677\) | 4.99128 | + | 1.53961i | 0.191831 | + | 0.0591719i | 0.389182 | − | 0.921161i | \(-0.372758\pi\) |
−0.197351 | + | 0.980333i | \(0.563234\pi\) | |||||||
\(678\) | 13.4419 | − | 58.8929i | 0.516234 | − | 2.26177i | ||||
\(679\) | 19.5419 | − | 11.2462i | 0.749949 | − | 0.431591i | ||||
\(680\) | −0.289233 | + | 0.139287i | −0.0110916 | + | 0.00534142i | ||||
\(681\) | −0.211067 | + | 0.0318132i | −0.00808809 | + | 0.00121908i | ||||
\(682\) | −7.16242 | + | 18.2495i | −0.274263 | + | 0.698811i | ||||
\(683\) | −1.77838 | − | 23.7309i | −0.0680479 | − | 0.908036i | −0.921877 | − | 0.387483i | \(-0.873345\pi\) |
0.853829 | − | 0.520554i | \(-0.174274\pi\) | |||||||
\(684\) | 5.71343 | + | 1.76236i | 0.218458 | + | 0.0673855i | ||||
\(685\) | 0.307179 | − | 1.34584i | 0.0117367 | − | 0.0514219i | ||||
\(686\) | 38.7900 | + | 3.06998i | 1.48101 | + | 0.117212i | ||||
\(687\) | 40.6255 | 1.54996 | ||||||||
\(688\) | 3.33432 | − | 2.27330i | 0.127120 | − | 0.0866687i | ||||
\(689\) | 0.178312 | + | 0.121571i | 0.00679314 | + | 0.00463149i | ||||
\(690\) | −1.44280 | + | 0.445044i | −0.0549264 | + | 0.0169425i | ||||
\(691\) | 25.0682 | − | 17.0912i | 0.953638 | − | 0.650179i | 0.0167685 | − | 0.999859i | \(-0.494662\pi\) |
0.936869 | + | 0.349680i | \(0.113710\pi\) | |||||||
\(692\) | −6.39184 | + | 28.0045i | −0.242981 | + | 1.06457i | ||||
\(693\) | −0.326468 | − | 1.06364i | −0.0124015 | − | 0.0404044i | ||||
\(694\) | −64.0420 | −2.43100 | ||||||||
\(695\) | −0.917794 | − | 0.851589i | −0.0348139 | − | 0.0323026i | ||||
\(696\) | 9.31463 | − | 2.87318i | 0.353070 | − | 0.108908i | ||||
\(697\) | 19.6839 | − | 18.2640i | 0.745579 | − | 0.691797i | ||||
\(698\) | −4.09933 | + | 54.7017i | −0.155162 | + | 2.07049i | ||||
\(699\) | −14.8697 | + | 7.16089i | −0.562425 | + | 0.270850i | ||||
\(700\) | 24.9702 | − | 19.8563i | 0.943786 | − | 0.750496i | ||||
\(701\) | −7.85309 | + | 34.4066i | −0.296607 | + | 1.29952i | 0.578536 | + | 0.815657i | \(0.303624\pi\) |
−0.875143 | + | 0.483864i | \(0.839233\pi\) | |||||||
\(702\) | 6.80573 | + | 6.31479i | 0.256866 | + | 0.238336i | ||||
\(703\) | −13.9140 | − | 24.0997i | −0.524775 | − | 0.908937i | ||||
\(704\) | −10.0352 | − | 1.51256i | −0.378214 | − | 0.0570067i | ||||
\(705\) | 0.173237 | + | 0.160740i | 0.00652447 | + | 0.00605382i | ||||
\(706\) | −42.8087 | − | 20.6156i | −1.61113 | − | 0.775878i | ||||
\(707\) | 5.93372 | − | 19.1419i | 0.223161 | − | 0.719907i | ||||
\(708\) | 51.9326 | − | 25.0094i | 1.95175 | − | 0.939913i | ||||
\(709\) | −39.1481 | + | 26.6907i | −1.47024 | + | 1.00239i | −0.477957 | + | 0.878383i | \(0.658623\pi\) |
−0.992281 | + | 0.124008i | \(0.960425\pi\) | |||||||
\(710\) | 0.0742589 | + | 0.128620i | 0.00278689 | + | 0.00482703i | ||||
\(711\) | 0.101401 | − | 0.258366i | 0.00380283 | − | 0.00968946i | ||||
\(712\) | 6.70833 | + | 6.22442i | 0.251405 | + | 0.233270i | ||||
\(713\) | −11.6661 | − | 51.1125i | −0.436899 | − | 1.91418i | ||||
\(714\) | 44.5778 | + | 25.8199i | 1.66828 | + | 0.966285i | ||||
\(715\) | −0.0400632 | − | 0.0502377i | −0.00149828 | − | 0.00187878i | ||||
\(716\) | 14.4701 | − | 2.18102i | 0.540773 | − | 0.0815085i | ||||
\(717\) | 1.13186 | + | 0.771689i | 0.0422701 | + | 0.0288193i | ||||
\(718\) | −0.211287 | − | 2.81942i | −0.00788515 | − | 0.105220i | ||||
\(719\) | −20.6189 | − | 19.1315i | −0.768955 | − | 0.713486i | 0.194633 | − | 0.980876i | \(-0.437648\pi\) |
−0.963588 | + | 0.267390i | \(0.913839\pi\) | |||||||
\(720\) | 0.0222934 | + | 0.0976736i | 0.000830825 | + | 0.00364008i | ||||
\(721\) | −0.464630 | − | 0.106730i | −0.0173037 | − | 0.00397483i | ||||
\(722\) | 20.9475 | + | 10.0878i | 0.779586 | + | 0.375429i | ||||
\(723\) | −26.9221 | + | 4.05786i | −1.00124 | + | 0.150913i | ||||
\(724\) | −1.48853 | − | 19.8630i | −0.0553208 | − | 0.738204i | ||||
\(725\) | 15.0540 | + | 26.0743i | 0.559092 | + | 0.968376i | ||||
\(726\) | −37.7963 | − | 11.6586i | −1.40275 | − | 0.432691i | ||||
\(727\) | 0.987952 | + | 4.32850i | 0.0366411 | + | 0.160535i | 0.989939 | − | 0.141498i | \(-0.0451918\pi\) |
−0.953297 | + | 0.302033i | \(0.902335\pi\) | |||||||
\(728\) | −0.323291 | + | 2.12481i | −0.0119820 | + | 0.0787506i | ||||
\(729\) | −4.85167 | − | 21.2566i | −0.179692 | − | 0.787281i | ||||
\(730\) | 0.598245 | + | 1.52430i | 0.0221421 | + | 0.0564170i | ||||
\(731\) | 2.45156 | − | 6.24648i | 0.0906743 | − | 0.231034i | ||||
\(732\) | −13.8649 | + | 12.8648i | −0.512462 | + | 0.475495i | ||||
\(733\) | −17.0506 | − | 15.8206i | −0.629777 | − | 0.584348i | 0.299334 | − | 0.954148i | \(-0.403236\pi\) |
−0.929111 | + | 0.369801i | \(0.879426\pi\) | |||||||
\(734\) | −1.49603 | −0.0552195 | ||||||||
\(735\) | 0.918104 | + | 0.286001i | 0.0338648 | + | 0.0105493i | ||||
\(736\) | 37.9108 | − | 18.2569i | 1.39741 | − | 0.672957i | ||||
\(737\) | −5.26488 | − | 1.62400i | −0.193935 | − | 0.0598209i | ||||
\(738\) | 2.55411 | + | 4.42384i | 0.0940180 | + | 0.162844i | ||||
\(739\) | 3.28992 | + | 43.9009i | 0.121022 | + | 1.61492i | 0.645681 | + | 0.763608i | \(0.276574\pi\) |
−0.524659 | + | 0.851312i | \(0.675807\pi\) | |||||||
\(740\) | −0.452988 | + | 0.784599i | −0.0166522 | + | 0.0288424i | ||||
\(741\) | −5.92818 | − | 7.43370i | −0.217777 | − | 0.273084i | ||||
\(742\) | 0.725528 | − | 1.06098i | 0.0266350 | − | 0.0389497i | ||||
\(743\) | 15.4189 | 0.565665 | 0.282832 | − | 0.959169i | \(-0.408726\pi\) | ||||
0.282832 | + | 0.959169i | \(0.408726\pi\) | |||||||
\(744\) | 16.0244 | − | 2.41530i | 0.587485 | − | 0.0885491i | ||||
\(745\) | −1.67507 | − | 0.252476i | −0.0613698 | − | 0.00925000i | ||||
\(746\) | 16.9771 | − | 5.23674i | 0.621575 | − | 0.191731i | ||||
\(747\) | −5.96318 | + | 0.898805i | −0.218181 | + | 0.0328855i | ||||
\(748\) | −10.1024 | + | 4.86507i | −0.369381 | + | 0.177885i | ||||
\(749\) | 33.9576 | + | 7.80038i | 1.24078 | + | 0.285020i | ||||
\(750\) | 2.59900 | − | 1.25161i | 0.0949020 | − | 0.0457024i | ||||
\(751\) | −0.826099 | + | 11.0235i | −0.0301448 | + | 0.402254i | 0.961638 | + | 0.274321i | \(0.0884532\pi\) |
−0.991783 | + | 0.127933i | \(0.959166\pi\) | |||||||
\(752\) | −4.26391 | − | 2.90709i | −0.155489 | − | 0.106011i | ||||
\(753\) | −1.15339 | − | 15.3909i | −0.0420318 | − | 0.560875i | ||||
\(754\) | −11.2959 | − | 3.48432i | −0.411371 | − | 0.126891i | ||||
\(755\) | −0.774043 | + | 0.970619i | −0.0281703 | + | 0.0353245i | ||||
\(756\) | 20.6003 | − | 22.1400i | 0.749227 | − | 0.805223i | ||||
\(757\) | 4.97701 | − | 6.24097i | 0.180892 | − | 0.226832i | −0.683115 | − | 0.730311i | \(-0.739375\pi\) |
0.864008 | + | 0.503479i | \(0.167947\pi\) | |||||||
\(758\) | −29.3789 | + | 4.42815i | −1.06709 | + | 0.160838i | ||||
\(759\) | −8.64712 | + | 2.66728i | −0.313870 | + | 0.0968162i | ||||
\(760\) | −0.0263709 | − | 0.351895i | −0.000956574 | − | 0.0127646i | ||||
\(761\) | −0.280024 | + | 0.485015i | −0.0101508 | + | 0.0175818i | −0.871056 | − | 0.491183i | \(-0.836565\pi\) |
0.860905 | + | 0.508765i | \(0.169898\pi\) | |||||||
\(762\) | 43.8881 | + | 2.97836i | 1.58990 | + | 0.107895i | ||||
\(763\) | −40.2852 | − | 3.07540i | −1.45842 | − | 0.111337i | ||||
\(764\) | 32.7088 | + | 15.7517i | 1.18336 | + | 0.569877i | ||||
\(765\) | 0.122119 | + | 0.113310i | 0.00441522 | + | 0.00409672i | ||||
\(766\) | 20.9434 | − | 53.3629i | 0.756715 | − | 1.92808i | ||||
\(767\) | −11.8603 | − | 1.78765i | −0.428249 | − | 0.0645482i | ||||
\(768\) | −5.07991 | − | 12.9434i | −0.183306 | − | 0.467055i | ||||
\(769\) | −20.4477 | + | 25.6406i | −0.737363 | + | 0.924624i | −0.999180 | − | 0.0404936i | \(-0.987107\pi\) |
0.261817 | + | 0.965118i | \(0.415678\pi\) | |||||||
\(770\) | −0.299536 | + | 0.238190i | −0.0107945 | + | 0.00858378i | ||||
\(771\) | −8.26455 | − | 3.98000i | −0.297641 | − | 0.143336i | ||||
\(772\) | −0.479017 | + | 6.39203i | −0.0172402 | + | 0.230054i | ||||
\(773\) | 29.6192 | + | 20.1940i | 1.06533 | + | 0.726328i | 0.963293 | − | 0.268453i | \(-0.0865125\pi\) |
0.102034 | + | 0.994781i | \(0.467465\pi\) | |||||||
\(774\) | 1.05474 | + | 0.719107i | 0.0379117 | + | 0.0258478i | ||||
\(775\) | 18.2869 | + | 46.5942i | 0.656885 | + | 1.67371i | ||||
\(776\) | 6.68264 | − | 3.21819i | 0.239893 | − | 0.115526i | ||||
\(777\) | 24.8791 | − | 1.82958i | 0.892532 | − | 0.0656358i | ||||
\(778\) | 4.69414 | − | 20.5664i | 0.168293 | − | 0.737340i | ||||
\(779\) | 10.7837 | + | 27.4763i | 0.386365 | + | 0.984441i | ||||
\(780\) | −0.113091 | + | 0.288150i | −0.00404929 | + | 0.0103174i | ||||
\(781\) | 0.445055 | + | 0.770859i | 0.0159253 | + | 0.0275835i | ||||
\(782\) | 27.4128 | − | 47.4803i | 0.980279 | − | 1.69789i | ||||
\(783\) | 17.7946 | + | 22.3137i | 0.635927 | + | 0.797428i | ||||
\(784\) | −20.7558 | − | 3.18759i | −0.741277 | − | 0.113843i | ||||
\(785\) | −0.656989 | − | 0.316389i | −0.0234490 | − | 0.0112924i | ||||
\(786\) | −14.2970 | + | 24.7631i | −0.509957 | + | 0.883271i | ||||
\(787\) | −6.62252 | + | 6.14480i | −0.236067 | + | 0.219039i | −0.789331 | − | 0.613967i | \(-0.789573\pi\) |
0.553264 | + | 0.833006i | \(0.313382\pi\) | |||||||
\(788\) | −42.3705 | − | 28.8878i | −1.50939 | − | 1.02908i | ||||
\(789\) | −13.8668 | − | 35.3321i | −0.493673 | − | 1.25786i | ||||
\(790\) | −0.0954669 | −0.00339656 | ||||||||
\(791\) | 27.8076 | + | 30.0533i | 0.988723 | + | 1.06857i | ||||
\(792\) | −0.0814457 | − | 0.356837i | −0.00289405 | − | 0.0126796i | ||||
\(793\) | 3.89176 | − | 0.586588i | 0.138200 | − | 0.0208304i | ||||
\(794\) | 28.1600 | + | 4.24443i | 0.999360 | + | 0.150629i | ||||
\(795\) | 0.0232849 | − | 0.0216053i | 0.000825831 | − | 0.000766260i | ||||
\(796\) | 1.49509 | − | 19.9506i | 0.0529922 | − | 0.707131i | ||||
\(797\) | 3.21440 | + | 14.0832i | 0.113860 | + | 0.498853i | 0.999411 | + | 0.0343113i | \(0.0109238\pi\) |
−0.885551 | + | 0.464542i | \(0.846219\pi\) | |||||||
\(798\) | −44.3226 | + | 35.2452i | −1.56900 | + | 1.24767i | ||||
\(799\) | −8.58117 | −0.303580 | ||||||||
\(800\) | −33.1929 | + | 22.6305i | −1.17355 | + | 0.800111i | ||||
\(801\) | 1.73496 | − | 4.42060i | 0.0613017 | − | 0.156194i | ||||
\(802\) | 1.62818 | + | 21.7266i | 0.0574932 | + | 0.767193i | ||||
\(803\) | 3.58546 | + | 9.13561i | 0.126528 | + | 0.322389i | ||||
\(804\) | 5.90620 | + | 25.8767i | 0.208296 | + | 0.912603i | ||||
\(805\) | 0.303016 | − | 0.977518i | 0.0106799 | − | 0.0344530i | ||||
\(806\) | −17.7062 | − | 8.52685i | −0.623673 | − | 0.300345i | ||||
\(807\) | −2.07348 | + | 27.6686i | −0.0729898 | + | 0.973981i | ||||
\(808\) | 2.40857 | − | 6.13693i | 0.0847331 | − | 0.215897i | ||||
\(809\) | −8.26161 | + | 21.0503i | −0.290463 | + | 0.740087i | 0.708931 | + | 0.705278i | \(0.249178\pi\) |
−0.999394 | + | 0.0348096i | \(0.988918\pi\) | |||||||
\(810\) | 1.30297 | − | 0.888348i | 0.0457816 | − | 0.0312134i | ||||
\(811\) | 3.50295 | + | 15.3474i | 0.123005 | + | 0.538922i | 0.998453 | + | 0.0556081i | \(0.0177097\pi\) |
−0.875447 | + | 0.483314i | \(0.839433\pi\) | |||||||
\(812\) | −11.4009 | + | 36.7788i | −0.400092 | + | 1.29068i | ||||
\(813\) | 9.13552 | + | 11.4556i | 0.320397 | + | 0.401765i | ||||
\(814\) | −4.96394 | + | 8.59780i | −0.173986 | + | 0.301353i | ||||
\(815\) | −0.122897 | − | 1.63995i | −0.00430490 | − | 0.0574449i | ||||
\(816\) | −22.9704 | − | 15.6610i | −0.804125 | − | 0.548243i | ||||
\(817\) | 5.40719 | + | 5.01714i | 0.189174 | + | 0.175527i | ||||
\(818\) | 32.5556 | + | 15.6780i | 1.13828 | + | 0.548167i | ||||
\(819\) | 1.08770 | − | 0.246667i | 0.0380074 | − | 0.00861925i | ||||
\(820\) | 0.599147 | − | 0.751307i | 0.0209231 | − | 0.0262368i | ||||
\(821\) | 3.35709 | − | 5.81464i | 0.117163 | − | 0.202932i | −0.801479 | − | 0.598023i | \(-0.795953\pi\) |
0.918642 | + | 0.395090i | \(0.129287\pi\) | |||||||
\(822\) | −69.6365 | + | 21.4800i | −2.42885 | + | 0.749201i | ||||
\(823\) | −46.4941 | + | 14.3415i | −1.62068 | + | 0.499914i | −0.966553 | − | 0.256469i | \(-0.917441\pi\) |
−0.654129 | + | 0.756383i | \(0.726965\pi\) | |||||||
\(824\) | −0.149861 | − | 0.0462260i | −0.00522066 | − | 0.00161036i | ||||
\(825\) | 7.78403 | − | 3.74859i | 0.271005 | − | 0.130509i | ||||
\(826\) | −10.7452 | + | 70.6222i | −0.373874 | + | 2.45726i | ||||
\(827\) | −4.29970 | − | 18.8382i | −0.149515 | − | 0.655069i | −0.993020 | − | 0.117947i | \(-0.962369\pi\) |
0.843505 | − | 0.537122i | \(-0.180488\pi\) | |||||||
\(828\) | 4.18155 | + | 3.87991i | 0.145319 | + | 0.134836i | ||||
\(829\) | 41.4214 | − | 12.7768i | 1.43863 | − | 0.443757i | 0.525275 | − | 0.850932i | \(-0.323962\pi\) |
0.913350 | + | 0.407175i | \(0.133486\pi\) | |||||||
\(830\) | 1.03713 | + | 1.79637i | 0.0359994 | + | 0.0623529i | ||||
\(831\) | 3.45542 | + | 8.80427i | 0.119867 | + | 0.305417i | ||||
\(832\) | 2.26374 | − | 9.91811i | 0.0784812 | − | 0.343849i | ||||
\(833\) | −31.5017 | + | 15.0625i | −1.09147 | + | 0.521884i | ||||
\(834\) | −14.7073 | + | 64.4370i | −0.509273 | + | 2.23127i | ||||
\(835\) | 0.134338 | − | 1.79262i | 0.00464897 | − | 0.0620362i | ||||
\(836\) | −0.921093 | − | 12.2911i | −0.0318567 | − | 0.425098i | ||||
\(837\) | 23.7240 | + | 41.0912i | 0.820022 | + | 1.42032i | ||||
\(838\) | 79.6392 | − | 12.0037i | 2.75109 | − | 0.414660i | ||||
\(839\) | −1.02239 | + | 4.47940i | −0.0352970 | + | 0.154646i | −0.989505 | − | 0.144497i | \(-0.953844\pi\) |
0.954208 | + | 0.299143i | \(0.0967008\pi\) | |||||||
\(840\) | 0.294312 | + | 0.115982i | 0.0101547 | + | 0.00400176i | ||||
\(841\) | −6.61239 | − | 3.18436i | −0.228013 | − | 0.109805i | ||||
\(842\) | 2.85036 | − | 0.429623i | 0.0982300 | − | 0.0148058i | ||||
\(843\) | 8.29089 | − | 21.1248i | 0.285553 | − | 0.727578i | ||||
\(844\) | −3.39187 | − | 2.31253i | −0.116753 | − | 0.0796007i | ||||
\(845\) | −0.740998 | + | 0.505204i | −0.0254911 | + | 0.0173795i | ||||
\(846\) | 0.363254 | − | 1.59152i | 0.0124889 | − | 0.0547176i | ||||
\(847\) | 20.9839 | − | 16.6863i | 0.721015 | − | 0.573349i | ||||
\(848\) | −0.432481 | + | 0.542315i | −0.0148515 | + | 0.0186232i | ||||
\(849\) | −16.5010 | + | 11.2502i | −0.566312 | + | 0.386105i | ||||
\(850\) | −19.1235 | + | 48.7260i | −0.655932 | + | 1.67129i | ||||
\(851\) | −1.98402 | − | 26.4749i | −0.0680113 | − | 0.907548i | ||||
\(852\) | 2.14401 | − | 3.71353i | 0.0734525 | − | 0.127223i | ||||
\(853\) | −7.12081 | − | 31.1983i | −0.243812 | − | 1.06821i | −0.937514 | − | 0.347948i | \(-0.886879\pi\) |
0.693702 | − | 0.720262i | \(-0.255978\pi\) | |||||||
\(854\) | −3.46130 | − | 23.1833i | −0.118443 | − | 0.793316i | ||||
\(855\) | −0.164987 | + | 0.0794536i | −0.00564244 | + | 0.00271726i | ||||
\(856\) | 10.9526 | + | 3.37843i | 0.374353 | + | 0.115473i | ||||
\(857\) | 28.8441 | + | 4.34754i | 0.985294 | + | 0.148509i | 0.621875 | − | 0.783116i | \(-0.286371\pi\) |
0.363419 | + | 0.931626i | \(0.381609\pi\) | |||||||
\(858\) | −1.23927 | + | 3.15761i | −0.0423080 | + | 0.107799i | ||||
\(859\) | 45.7748 | + | 14.1196i | 1.56182 | + | 0.481756i | 0.950785 | − | 0.309851i | \(-0.100279\pi\) |
0.611030 | + | 0.791607i | \(0.290755\pi\) | |||||||
\(860\) | 0.0534372 | − | 0.234124i | 0.00182219 | − | 0.00798356i | ||||
\(861\) | −26.3834 | − | 2.01412i | −0.899143 | − | 0.0686412i | ||||
\(862\) | −20.3146 | + | 25.4736i | −0.691916 | + | 0.867636i | ||||
\(863\) | 2.85132 | − | 38.0482i | 0.0970600 | − | 1.29518i | −0.709787 | − | 0.704416i | \(-0.751209\pi\) |
0.806847 | − | 0.590760i | \(-0.201172\pi\) | |||||||
\(864\) | −27.9159 | + | 25.9021i | −0.949717 | + | 0.881209i | ||||
\(865\) | −0.439878 | − | 0.761891i | −0.0149563 | − | 0.0259051i | ||||
\(866\) | 54.9438 | − | 37.4600i | 1.86707 | − | 1.27294i | ||||
\(867\) | −14.6444 | −0.497351 | ||||||||
\(868\) | −27.8552 | + | 57.6365i | −0.945468 | + | 1.95631i | ||||
\(869\) | −0.572161 | −0.0194092 | ||||||||
\(870\) | −0.869944 | + | 1.50679i | −0.0294939 | + | 0.0510849i | ||||
\(871\) | 2.01780 | − | 5.14126i | 0.0683704 | − | 0.174205i | ||||
\(872\) | −13.1426 | − | 1.98093i | −0.445064 | − | 0.0670827i | ||||
\(873\) | −2.82152 | − | 2.61799i | −0.0954941 | − | 0.0886056i | ||||
\(874\) | 37.5755 | + | 47.1182i | 1.27101 | + | 1.59380i | ||||
\(875\) | −0.294108 | + | 1.93300i | −0.00994267 | + | 0.0653475i | ||||
\(876\) | 29.4773 | − | 36.9634i | 0.995947 | − | 1.24888i | ||||
\(877\) | 0.0119411 | − | 0.159343i | 0.000403222 | − | 0.00538063i | −0.996999 | − | 0.0774201i | \(-0.975332\pi\) |
0.997402 | + | 0.0720395i | \(0.0229508\pi\) | |||||||
\(878\) | −30.3167 | − | 20.6696i | −1.02314 | − | 0.697564i | ||||
\(879\) | −7.63362 | − | 5.20451i | −0.257476 | − | 0.175544i | ||||
\(880\) | 0.170642 | − | 0.116342i | 0.00575233 | − | 0.00392187i | ||||
\(881\) | 8.34154 | + | 36.5467i | 0.281034 | + | 1.23129i | 0.896471 | + | 0.443103i | \(0.146122\pi\) |
−0.615437 | + | 0.788186i | \(0.711020\pi\) | |||||||
\(882\) | −1.46007 | − | 6.48015i | −0.0491631 | − | 0.218198i | ||||
\(883\) | −6.88266 | + | 8.63058i | −0.231620 | + | 0.290442i | −0.884036 | − | 0.467419i | \(-0.845184\pi\) |
0.652416 | + | 0.757861i | \(0.273755\pi\) | |||||||
\(884\) | −4.10646 | − | 10.4631i | −0.138115 | − | 0.351912i | ||||
\(885\) | −0.644965 | + | 1.64334i | −0.0216803 | + | 0.0552404i | ||||
\(886\) | −26.9944 | + | 8.32666i | −0.906893 | + | 0.279739i | ||||
\(887\) | 35.3176 | − | 24.0792i | 1.18585 | − | 0.808499i | 0.200609 | − | 0.979671i | \(-0.435708\pi\) |
0.985241 | + | 0.171172i | \(0.0547554\pi\) | |||||||
\(888\) | 8.20648 | 0.275391 | ||||||||
\(889\) | −18.4581 | + | 23.4158i | −0.619064 | + | 0.785341i | ||||
\(890\) | −1.63343 | −0.0547526 | ||||||||
\(891\) | 7.80907 | − | 5.32413i | 0.261614 | − | 0.178365i | ||||
\(892\) | 54.6343 | − | 16.8525i | 1.82929 | − | 0.564262i | ||||
\(893\) | 3.44617 | − | 8.78070i | 0.115322 | − | 0.293835i | ||||
\(894\) | 32.6709 | + | 83.2440i | 1.09268 | + | 2.78410i | ||||
\(895\) | −0.279439 | + | 0.350405i | −0.00934060 | + | 0.0117127i | ||||
\(896\) | −17.5694 | − | 4.03585i | −0.586951 | − | 0.134828i | ||||
\(897\) | −2.01852 | − | 8.84370i | −0.0673963 | − | 0.295283i | ||||
\(898\) | 20.1090 | − | 13.7101i | 0.671047 | − | 0.457512i | ||||
\(899\) | −49.9160 | − | 34.0322i | −1.66479 | − | 1.13504i | ||||
\(900\) | −4.49982 | − | 3.06793i | −0.149994 | − | 0.102264i | ||||
\(901\) | −0.0861940 | + | 1.15018i | −0.00287154 | + | 0.0383180i | ||||
\(902\) | 6.56558 | − | 8.23298i | 0.218610 | − | 0.274128i | ||||
\(903\) | −6.15870 | + | 2.40722i | −0.204949 | + | 0.0801072i | ||||
\(904\) | 8.39803 | + | 10.5308i | 0.279314 | + | 0.350249i | ||||
\(905\) | 0.447202 | + | 0.414943i | 0.0148655 | + | 0.0137932i | ||||
\(906\) | 64.8052 | + | 9.76781i | 2.15301 | + | 0.324514i | ||||
\(907\) | −13.5156 | + | 34.4373i | −0.448780 | + | 1.14347i | 0.510215 | + | 0.860047i | \(0.329566\pi\) |
−0.958994 | + | 0.283425i | \(0.908529\pi\) | |||||||
\(908\) | 0.138687 | − | 0.240214i | 0.00460251 | − | 0.00797177i | ||||
\(909\) | −3.42114 | −0.113472 | ||||||||
\(910\) | −0.215663 | − | 0.317268i | −0.00714915 | − | 0.0105173i | ||||
\(911\) | −12.0640 | −0.399697 | −0.199849 | − | 0.979827i | \(-0.564045\pi\) | ||||
−0.199849 | + | 0.979827i | \(0.564045\pi\) | |||||||
\(912\) | 25.2500 | − | 17.2151i | 0.836110 | − | 0.570050i | ||||
\(913\) | 6.21585 | + | 10.7662i | 0.205715 | + | 0.356308i | ||||
\(914\) | −24.5613 | + | 22.7895i | −0.812414 | + | 0.753810i | ||||
\(915\) | 0.0432897 | − | 0.577661i | 0.00143111 | − | 0.0190969i | ||||
\(916\) | −32.9153 | + | 41.2745i | −1.08755 | + | 1.36375i | ||||
\(917\) | −8.38486 | − | 17.4736i | −0.276892 | − | 0.577028i | ||||
\(918\) | −11.0412 | + | 48.3748i | −0.364415 | + | 1.59661i | ||||
\(919\) | 6.51178 | + | 2.00862i | 0.214804 | + | 0.0662582i | 0.400289 | − | 0.916389i | \(-0.368910\pi\) |
−0.185486 | + | 0.982647i | \(0.559386\pi\) | |||||||
\(920\) | 0.122998 | − | 0.313394i | 0.00405512 | − | 0.0103323i | ||||
\(921\) | 24.3488 | + | 3.66999i | 0.802320 | + | 0.120930i | ||||
\(922\) | 3.07373 | + | 0.948119i | 0.101228 | + | 0.0312246i | ||||
\(923\) | −0.803911 | + | 0.387143i | −0.0264610 | + | 0.0127430i | ||||
\(924\) | 10.2798 | + | 4.05106i | 0.338181 | + | 0.133270i | ||||
\(925\) | 5.64038 | + | 24.7121i | 0.185454 | + | 0.812529i | ||||
\(926\) | −0.628861 | + | 1.08922i | −0.0206656 | + | 0.0357939i | ||||
\(927\) | 0.00608179 | + | 0.0811558i | 0.000199752 | + | 0.00266551i | ||||
\(928\) | 17.7146 | − | 45.1360i | 0.581510 | − | 1.48166i | ||||
\(929\) | 28.6457 | − | 19.5303i | 0.939834 | − | 0.640768i | 0.00657751 | − | 0.999978i | \(-0.497906\pi\) |
0.933257 | + | 0.359210i | \(0.116954\pi\) | |||||||
\(930\) | −1.80347 | + | 2.26148i | −0.0591382 | + | 0.0741570i | ||||
\(931\) | −2.76170 | − | 38.2833i | −0.0905110 | − | 1.25468i | ||||
\(932\) | 4.77237 | − | 20.9091i | 0.156324 | − | 0.684901i | ||||
\(933\) | 30.8002 | − | 20.9992i | 1.00835 | − | 0.687483i | ||||
\(934\) | −23.5696 | − | 16.0695i | −0.771220 | − | 0.525809i | ||||
\(935\) | 0.125465 | − | 0.319679i | 0.00410313 | − | 0.0104546i | ||||
\(936\) | 0.362805 | − | 0.0546840i | 0.0118586 | − | 0.00178740i | ||||
\(937\) | −7.54559 | − | 3.63376i | −0.246504 | − | 0.118710i | 0.306553 | − | 0.951854i | \(-0.400824\pi\) |
−0.553057 | + | 0.833144i | \(0.686539\pi\) | |||||||
\(938\) | −30.6034 | − | 12.0602i | −0.999238 | − | 0.393779i | ||||
\(939\) | −8.17127 | + | 35.8007i | −0.266659 | + | 1.16831i | ||||
\(940\) | −0.303666 | + | 0.0457704i | −0.00990451 | + | 0.00149286i | ||||
\(941\) | 16.0409 | + | 27.7836i | 0.522918 | + | 0.905721i | 0.999644 | + | 0.0266689i | \(0.00848997\pi\) |
−0.476726 | + | 0.879052i | \(0.658177\pi\) | |||||||
\(942\) | 2.87671 | + | 38.3870i | 0.0937282 | + | 1.25072i | ||||
\(943\) | −2.10442 | + | 28.0816i | −0.0685294 | + | 0.914461i | ||||
\(944\) | 8.57841 | − | 37.5845i | 0.279203 | − | 1.22327i | ||||
\(945\) | −0.00129025 | + | 0.926213i | −4.19719e−5 | + | 0.0301297i | ||||
\(946\) | 0.585577 | − | 2.56558i | 0.0190387 | − | 0.0834142i | ||||
\(947\) | 11.5881 | + | 29.5260i | 0.376563 | + | 0.959467i | 0.986017 | + | 0.166645i | \(0.0532935\pi\) |
−0.609454 | + | 0.792821i | \(0.708611\pi\) | |||||||
\(948\) | 1.37816 | + | 2.38705i | 0.0447606 | + | 0.0775277i | ||||
\(949\) | −9.40079 | + | 2.89976i | −0.305163 | + | 0.0941302i | ||||
\(950\) | −42.1791 | − | 39.1364i | −1.36847 | − | 1.26975i | ||||
\(951\) | −0.613109 | − | 2.68620i | −0.0198814 | − | 0.0871062i | ||||
\(952\) | −10.6985 | + | 4.18167i | −0.346741 | + | 0.135529i | ||||
\(953\) | −10.7134 | + | 5.15933i | −0.347043 | + | 0.167127i | −0.599282 | − | 0.800538i | \(-0.704547\pi\) |
0.252239 | + | 0.967665i | \(0.418833\pi\) | |||||||
\(954\) | −0.209671 | − | 0.0646750i | −0.00678836 | − | 0.00209393i | ||||
\(955\) | −1.06249 | + | 0.327735i | −0.0343814 | + | 0.0106053i | ||||
\(956\) | −1.70106 | + | 0.524709i | −0.0550163 | + | 0.0169703i | ||||
\(957\) | −5.21384 | + | 9.03063i | −0.168539 | + | 0.291919i | ||||
\(958\) | 5.63056 | − | 7.06049i | 0.181915 | − | 0.228114i | ||||
\(959\) | 14.6250 | − | 47.1798i | 0.472267 | − | 1.52351i | ||||
\(960\) | −1.34906 | − | 0.649673i | −0.0435408 | − | 0.0209681i | ||||
\(961\) | −50.9008 | − | 47.2291i | −1.64196 | − | 1.52352i | ||||
\(962\) | −8.22274 | − | 5.60617i | −0.265112 | − | 0.180750i | ||||
\(963\) | −0.444488 | − | 5.93128i | −0.0143234 | − | 0.191133i | ||||
\(964\) | 17.6900 | − | 30.6399i | 0.569756 | − | 0.986846i | ||||
\(965\) | −0.122403 | − | 0.153488i | −0.00394029 | − | 0.00494096i | ||||
\(966\) | −52.6878 | + | 11.9484i | −1.69520 | + | 0.384435i | ||||
\(967\) | −7.65175 | − | 33.5245i | −0.246064 | − | 1.07808i | −0.935388 | − | 0.353623i | \(-0.884950\pi\) |
0.689324 | − | 0.724453i | \(-0.257908\pi\) | |||||||
\(968\) | 7.28699 | − | 4.96818i | 0.234213 | − | 0.159684i | ||||
\(969\) | 18.5651 | − | 47.3031i | 0.596397 | − | 1.51959i | ||||
\(970\) | −0.483678 | + | 1.23239i | −0.0155300 | + | 0.0395697i | ||||
\(971\) | 0.678271 | − | 9.05090i | 0.0217667 | − | 0.290457i | −0.975689 | − | 0.219162i | \(-0.929668\pi\) |
0.997455 | − | 0.0712952i | \(-0.0227132\pi\) | |||||||
\(972\) | −10.1270 | − | 4.87692i | −0.324824 | − | 0.156427i | ||||
\(973\) | −30.4253 | − | 32.8824i | −0.975391 | − | 1.05416i | ||||
\(974\) | 10.5878 | + | 46.3882i | 0.339255 | + | 1.48637i | ||||
\(975\) | 3.16408 | + | 8.06193i | 0.101332 | + | 0.258188i | ||||
\(976\) | 0.945329 | + | 12.6145i | 0.0302592 | + | 0.403781i | ||||
\(977\) | −14.9775 | + | 38.1620i | −0.479172 | + | 1.22091i | 0.463174 | + | 0.886268i | \(0.346711\pi\) |
−0.942345 | + | 0.334642i | \(0.891385\pi\) | |||||||
\(978\) | −71.7305 | + | 48.9050i | −2.29369 | + | 1.56381i | ||||
\(979\) | −9.78961 | −0.312877 | ||||||||
\(980\) | −1.03443 | + | 0.701048i | −0.0330436 | + | 0.0223942i | ||||
\(981\) | 1.53476 | + | 6.72422i | 0.0490011 | + | 0.214688i | ||||
\(982\) | 5.27192 | − | 70.3489i | 0.168234 | − | 2.24492i | ||||
\(983\) | 0.621502 | − | 0.576670i | 0.0198228 | − | 0.0183929i | −0.670199 | − | 0.742181i | \(-0.733791\pi\) |
0.690022 | + | 0.723788i | \(0.257601\pi\) | |||||||
\(984\) | −8.60728 | − | 1.29734i | −0.274390 | − | 0.0413576i | ||||
\(985\) | 1.55306 | − | 0.234086i | 0.0494845 | − | 0.00745860i | ||||
\(986\) | −14.0583 | − | 61.5936i | −0.447708 | − | 1.96154i | ||||
\(987\) | 5.74287 | + | 6.20667i | 0.182798 | + | 0.197560i | ||||
\(988\) | 12.3555 | 0.393082 | ||||||||
\(989\) | 2.57102 | + | 6.55084i | 0.0817536 | + | 0.208305i | ||||
\(990\) | 0.0539787 | + | 0.0368020i | 0.00171555 | + | 0.00116965i | ||||
\(991\) | 20.6380 | − | 19.1493i | 0.655587 | − | 0.608296i | −0.280588 | − | 0.959828i | \(-0.590530\pi\) |
0.936176 | + | 0.351532i | \(0.114339\pi\) | |||||||
\(992\) | 40.3053 | − | 69.8107i | 1.27969 | − | 2.21649i | ||||
\(993\) | 25.4290 | + | 12.2460i | 0.806966 | + | 0.388614i | ||||
\(994\) | 2.29906 | + | 4.79112i | 0.0729219 | + | 0.151965i | ||||
\(995\) | 0.382040 | + | 0.479063i | 0.0121115 | + | 0.0151873i | ||||
\(996\) | 29.9442 | − | 51.8649i | 0.948818 | − | 1.64340i | ||||
\(997\) | 14.2600 | + | 24.6991i | 0.451620 | + | 0.782228i | 0.998487 | − | 0.0549912i | \(-0.0175131\pi\) |
−0.546867 | + | 0.837219i | \(0.684180\pi\) | |||||||
\(998\) | −22.0102 | + | 56.0812i | −0.696722 | + | 1.77522i | ||||
\(999\) | 8.77834 | + | 22.3668i | 0.277734 | + | 0.707655i |
(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 | 889.2.bm.a.2.14 | ✓ | 1008 | |
7.4 | even | 3 | inner | 889.2.bm.a.256.14 | yes | 1008 | |
127.64 | even | 7 | inner | 889.2.bm.a.191.14 | yes | 1008 | |
889.445 | even | 21 | inner | 889.2.bm.a.445.14 | yes | 1008 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
889.2.bm.a.2.14 | ✓ | 1008 | 1.1 | even | 1 | trivial | |
889.2.bm.a.191.14 | yes | 1008 | 127.64 | even | 7 | inner | |
889.2.bm.a.256.14 | yes | 1008 | 7.4 | even | 3 | inner | |
889.2.bm.a.445.14 | yes | 1008 | 889.445 | even | 21 | inner |