Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(11,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bb (of order \(22\), 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: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 920.11 |
Dual form | 920.2.bb.a.251.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41066 | + | 0.100200i | −0.997487 | + | 0.0708523i | ||||
\(3\) | 0.472161 | − | 3.28395i | 0.272602 | − | 1.89599i | −0.148394 | − | 0.988928i | \(-0.547410\pi\) |
0.420996 | − | 0.907063i | \(-0.361681\pi\) | |||||||
\(4\) | 1.97992 | − | 0.282697i | 0.989960 | − | 0.141348i | ||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | −0.337006 | + | 4.67985i | −0.137582 | + | 1.91054i | ||||
\(7\) | −2.50066 | − | 2.88591i | −0.945160 | − | 1.09077i | −0.995754 | − | 0.0920532i | \(-0.970657\pi\) |
0.0505944 | − | 0.998719i | \(-0.483888\pi\) | |||||||
\(8\) | −2.76467 | + | 0.597177i | −0.977457 | + | 0.211134i | ||||
\(9\) | −7.68293 | − | 2.25591i | −2.56098 | − | 0.751971i | ||||
\(10\) | 1.32529 | − | 0.493570i | 0.419093 | − | 0.156081i | ||||
\(11\) | 3.41038 | − | 5.30666i | 1.02827 | − | 1.60002i | 0.253957 | − | 0.967215i | \(-0.418268\pi\) |
0.774313 | − | 0.632803i | \(-0.218096\pi\) | |||||||
\(12\) | 0.00647816 | − | 6.63544i | 0.00187008 | − | 1.91549i | ||||
\(13\) | −2.21330 | − | 1.91783i | −0.613858 | − | 0.531911i | 0.291494 | − | 0.956573i | \(-0.405848\pi\) |
−0.905352 | + | 0.424662i | \(0.860393\pi\) | |||||||
\(14\) | 3.81675 | + | 3.82047i | 1.02007 | + | 1.02106i | ||||
\(15\) | 0.472161 | + | 3.28395i | 0.121911 | + | 0.847913i | ||||
\(16\) | 3.84017 | − | 1.11943i | 0.960041 | − | 0.279859i | ||||
\(17\) | 2.31222 | − | 1.05596i | 0.560796 | − | 0.256107i | −0.114788 | − | 0.993390i | \(-0.536619\pi\) |
0.675584 | + | 0.737283i | \(0.263892\pi\) | |||||||
\(18\) | 11.0640 | + | 2.41249i | 2.60782 | + | 0.568630i | ||||
\(19\) | 4.58611 | + | 2.09441i | 1.05213 | + | 0.480490i | 0.864961 | − | 0.501838i | \(-0.167343\pi\) |
0.187165 | + | 0.982328i | \(0.440070\pi\) | |||||||
\(20\) | −1.82007 | + | 0.829053i | −0.406981 | + | 0.185382i | ||||
\(21\) | −10.6579 | + | 6.84943i | −2.32575 | + | 1.49467i | ||||
\(22\) | −4.27916 | + | 7.82761i | −0.912320 | + | 1.66885i | ||||
\(23\) | −4.07093 | − | 2.53526i | −0.848847 | − | 0.528639i | ||||
\(24\) | 0.655734 | + | 9.36100i | 0.133851 | + | 1.91081i | ||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | 3.31438 | + | 2.48364i | 0.650002 | + | 0.487081i | ||||
\(27\) | −6.90119 | + | 15.1115i | −1.32814 | + | 2.90821i | ||||
\(28\) | −5.76694 | − | 5.00695i | −1.08985 | − | 0.946224i | ||||
\(29\) | −2.30440 | + | 1.05238i | −0.427916 | + | 0.195423i | −0.617718 | − | 0.786400i | \(-0.711943\pi\) |
0.189802 | + | 0.981822i | \(0.439215\pi\) | |||||||
\(30\) | −0.995111 | − | 4.58523i | −0.181682 | − | 0.837144i | ||||
\(31\) | 7.20895 | − | 1.03649i | 1.29477 | − | 0.186159i | 0.539728 | − | 0.841840i | \(-0.318527\pi\) |
0.755039 | + | 0.655680i | \(0.227618\pi\) | |||||||
\(32\) | −5.30500 | + | 1.96393i | −0.937800 | + | 0.347176i | ||||
\(33\) | −15.8166 | − | 13.7051i | −2.75331 | − | 2.38576i | ||||
\(34\) | −3.15595 | + | 1.72128i | −0.541241 | + | 0.295197i | ||||
\(35\) | 3.21242 | + | 2.06450i | 0.542998 | + | 0.348964i | ||||
\(36\) | −15.8493 | − | 2.29458i | −2.64155 | − | 0.382431i | ||||
\(37\) | 4.44531 | + | 1.30526i | 0.730804 | + | 0.214584i | 0.625905 | − | 0.779899i | \(-0.284730\pi\) |
0.104899 | + | 0.994483i | \(0.466548\pi\) | |||||||
\(38\) | −6.67930 | − | 2.49497i | −1.08353 | − | 0.404737i | ||||
\(39\) | −7.34310 | + | 6.36284i | −1.17584 | + | 1.01887i | ||||
\(40\) | 2.48443 | − | 1.35188i | 0.392823 | − | 0.213752i | ||||
\(41\) | −1.04437 | + | 0.306656i | −0.163104 | + | 0.0478916i | −0.362265 | − | 0.932075i | \(-0.617996\pi\) |
0.199161 | + | 0.979967i | \(0.436178\pi\) | |||||||
\(42\) | 14.3484 | − | 10.7301i | 2.21400 | − | 1.65570i | ||||
\(43\) | 2.20221 | + | 0.316629i | 0.335833 | + | 0.0482855i | 0.308169 | − | 0.951332i | \(-0.400284\pi\) |
0.0276646 | + | 0.999617i | \(0.491193\pi\) | |||||||
\(44\) | 5.25211 | − | 11.4709i | 0.791786 | − | 1.72930i | ||||
\(45\) | 8.00728 | 1.19365 | ||||||||
\(46\) | 5.99672 | + | 3.16849i | 0.884169 | + | 0.467168i | ||||
\(47\) | 3.74592i | 0.546398i | 0.961958 | + | 0.273199i | \(0.0880818\pi\) | ||||
−0.961958 | + | 0.273199i | \(0.911918\pi\) | |||||||
\(48\) | −1.86299 | − | 13.1395i | −0.268900 | − | 1.89652i | ||||
\(49\) | −1.07900 | + | 7.50461i | −0.154143 | + | 1.07209i | ||||
\(50\) | −1.13255 | + | 0.846954i | −0.160167 | + | 0.119777i | ||||
\(51\) | −2.37597 | − | 8.09181i | −0.332702 | − | 1.13308i | ||||
\(52\) | −4.92432 | − | 3.17146i | −0.682880 | − | 0.439803i | ||||
\(53\) | 2.63107 | + | 3.03642i | 0.361406 | + | 0.417084i | 0.907110 | − | 0.420893i | \(-0.138283\pi\) |
−0.545704 | + | 0.837978i | \(0.683738\pi\) | |||||||
\(54\) | 8.22106 | − | 22.0087i | 1.11874 | − | 2.99500i | ||||
\(55\) | −1.77718 | + | 6.05252i | −0.239635 | + | 0.816122i | ||||
\(56\) | 8.63689 | + | 6.48525i | 1.15415 | + | 0.866628i | ||||
\(57\) | 9.04332 | − | 14.0717i | 1.19782 | − | 1.86384i | ||||
\(58\) | 3.14527 | − | 1.71545i | 0.412994 | − | 0.225250i | ||||
\(59\) | −6.58513 | + | 7.59965i | −0.857311 | + | 0.989390i | −1.00000 | 0.000377513i | \(-0.999880\pi\) | |
0.142688 | + | 0.989768i | \(0.454425\pi\) | |||||||
\(60\) | 1.86320 | + | 6.36848i | 0.240539 | + | 0.822168i | ||||
\(61\) | 0.283392 | + | 1.97104i | 0.0362847 | + | 0.252365i | 0.999888 | − | 0.0149710i | \(-0.00476560\pi\) |
−0.963603 | + | 0.267336i | \(0.913857\pi\) | |||||||
\(62\) | −10.0655 | + | 2.18447i | −1.27832 | + | 0.277429i | ||||
\(63\) | 12.7020 | + | 27.8135i | 1.60030 | + | 3.50418i | ||||
\(64\) | 7.28676 | − | 3.30199i | 0.910845 | − | 0.412749i | ||||
\(65\) | 2.66396 | + | 1.21659i | 0.330423 | + | 0.150899i | ||||
\(66\) | 23.6851 | + | 17.7485i | 2.91543 | + | 2.18468i | ||||
\(67\) | −4.44821 | − | 6.92155i | −0.543435 | − | 0.845602i | 0.455570 | − | 0.890200i | \(-0.349436\pi\) |
−0.999005 | + | 0.0445982i | \(0.985799\pi\) | |||||||
\(68\) | 4.27950 | − | 2.74437i | 0.518966 | − | 0.332803i | ||||
\(69\) | −10.2478 | + | 12.1717i | −1.23369 | + | 1.46530i | ||||
\(70\) | −4.73849 | − | 2.59042i | −0.566358 | − | 0.309614i | ||||
\(71\) | −0.130034 | − | 0.202337i | −0.0154322 | − | 0.0240130i | 0.833452 | − | 0.552592i | \(-0.186361\pi\) |
−0.848884 | + | 0.528579i | \(0.822725\pi\) | |||||||
\(72\) | 22.5879 | + | 1.64877i | 2.66201 | + | 0.194310i | ||||
\(73\) | 1.49297 | − | 3.26915i | 0.174739 | − | 0.382626i | −0.801916 | − | 0.597436i | \(-0.796186\pi\) |
0.976656 | + | 0.214811i | \(0.0689134\pi\) | |||||||
\(74\) | −6.40161 | − | 1.39586i | −0.744172 | − | 0.162265i | ||||
\(75\) | −1.37823 | − | 3.01791i | −0.159144 | − | 0.348478i | ||||
\(76\) | 9.67222 | + | 2.85028i | 1.10948 | + | 0.326950i | ||||
\(77\) | −23.8428 | + | 3.42807i | −2.71714 | + | 0.390665i | ||||
\(78\) | 9.72106 | − | 9.71157i | 1.10069 | − | 1.09962i | ||||
\(79\) | 6.19095 | − | 7.14474i | 0.696537 | − | 0.803846i | −0.291744 | − | 0.956497i | \(-0.594235\pi\) |
0.988280 | + | 0.152650i | \(0.0487808\pi\) | |||||||
\(80\) | −3.36923 | + | 2.15599i | −0.376691 | + | 0.241047i | ||||
\(81\) | 26.1585 | + | 16.8111i | 2.90650 | + | 1.86790i | ||||
\(82\) | 1.44253 | − | 0.537233i | 0.159301 | − | 0.0593275i | ||||
\(83\) | 0.562599 | − | 1.91603i | 0.0617532 | − | 0.210312i | −0.922837 | − | 0.385192i | \(-0.874135\pi\) |
0.984590 | + | 0.174879i | \(0.0559536\pi\) | |||||||
\(84\) | −19.1655 | + | 16.5743i | −2.09113 | + | 1.80840i | ||||
\(85\) | −1.92106 | + | 1.66461i | −0.208369 | + | 0.180552i | ||||
\(86\) | −3.13829 | − | 0.225995i | −0.338410 | − | 0.0243696i | ||||
\(87\) | 2.36793 | + | 8.06442i | 0.253869 | + | 0.864597i | ||||
\(88\) | −6.25956 | + | 16.7078i | −0.667271 | + | 1.78105i | ||||
\(89\) | −6.65719 | − | 0.957159i | −0.705661 | − | 0.101459i | −0.219864 | − | 0.975531i | \(-0.570561\pi\) |
−0.485797 | + | 0.874072i | \(0.661470\pi\) | |||||||
\(90\) | −11.2955 | + | 0.802332i | −1.19066 | + | 0.0845732i | ||||
\(91\) | 11.1832i | 1.17232i | ||||||||
\(92\) | −8.77682 | − | 3.86878i | −0.915046 | − | 0.403349i | ||||
\(93\) | − | 24.1633i | − | 2.50561i | ||||||
\(94\) | −0.375342 | − | 5.28421i | −0.0387136 | − | 0.545025i | ||||
\(95\) | −4.99041 | − | 0.717512i | −0.512005 | − | 0.0736152i | ||||
\(96\) | 3.94463 | + | 18.3486i | 0.402597 | + | 1.87270i | ||||
\(97\) | −2.22710 | − | 7.58480i | −0.226127 | − | 0.770119i | −0.991901 | − | 0.127010i | \(-0.959462\pi\) |
0.765774 | − | 0.643110i | \(-0.222356\pi\) | |||||||
\(98\) | 0.770138 | − | 10.6946i | 0.0777957 | − | 1.08031i | ||||
\(99\) | −38.1731 | + | 33.0772i | −3.83654 | + | 3.32438i | ||||
\(100\) | 1.51278 | − | 1.30825i | 0.151278 | − | 0.130825i | ||||
\(101\) | 2.31322 | − | 7.87811i | 0.230174 | − | 0.783901i | −0.760699 | − | 0.649105i | \(-0.775144\pi\) |
0.990873 | − | 0.134797i | \(-0.0430381\pi\) | |||||||
\(102\) | 4.16249 | + | 11.1767i | 0.412148 | + | 1.10666i | ||||
\(103\) | 10.3382 | + | 6.64398i | 1.01866 | + | 0.654651i | 0.939619 | − | 0.342221i | \(-0.111179\pi\) |
0.0790369 | + | 0.996872i | \(0.474816\pi\) | |||||||
\(104\) | 7.26431 | + | 3.98044i | 0.712324 | + | 0.390314i | ||||
\(105\) | 8.29649 | − | 9.57466i | 0.809654 | − | 0.934391i | ||||
\(106\) | −4.01580 | − | 4.01972i | −0.390049 | − | 0.390430i | ||||
\(107\) | −0.276759 | + | 0.0397919i | −0.0267553 | + | 0.00384683i | −0.155679 | − | 0.987808i | \(-0.549757\pi\) |
0.128924 | + | 0.991654i | \(0.458848\pi\) | |||||||
\(108\) | −9.39183 | + | 31.8705i | −0.903730 | + | 3.06674i | ||||
\(109\) | 3.94901 | + | 8.64712i | 0.378246 | + | 0.828244i | 0.999020 | + | 0.0442543i | \(0.0140912\pi\) |
−0.620774 | + | 0.783990i | \(0.713182\pi\) | |||||||
\(110\) | 1.90053 | − | 8.71612i | 0.181209 | − | 0.831049i | ||||
\(111\) | 6.38532 | − | 13.9819i | 0.606067 | − | 1.32710i | ||||
\(112\) | −12.8335 | − | 8.28306i | −1.21265 | − | 0.782676i | ||||
\(113\) | 8.24399 | + | 12.8279i | 0.775530 | + | 1.20675i | 0.973979 | + | 0.226637i | \(0.0727730\pi\) |
−0.198450 | + | 0.980111i | \(0.563591\pi\) | |||||||
\(114\) | −11.3471 | + | 20.7565i | −1.06275 | + | 1.94402i | ||||
\(115\) | 4.62029 | + | 1.28566i | 0.430844 | + | 0.119888i | ||||
\(116\) | −4.26502 | + | 2.73508i | −0.395997 | + | 0.253946i | ||||
\(117\) | 12.6781 | + | 19.7276i | 1.17209 | + | 1.82381i | ||||
\(118\) | 8.52789 | − | 11.3803i | 0.785056 | − | 1.04765i | ||||
\(119\) | −8.82948 | − | 4.03229i | −0.809397 | − | 0.369639i | ||||
\(120\) | −3.26647 | − | 8.79707i | −0.298187 | − | 0.803059i | ||||
\(121\) | −11.9604 | − | 26.1896i | −1.08731 | − | 2.38087i | ||||
\(122\) | −0.597268 | − | 2.75207i | −0.0540741 | − | 0.249160i | ||||
\(123\) | 0.513930 | + | 3.57446i | 0.0463395 | + | 0.322298i | ||||
\(124\) | 13.9801 | − | 4.09012i | 1.25545 | − | 0.367303i | ||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | −20.7051 | − | 37.9627i | −1.84456 | − | 3.38198i | ||||
\(127\) | 9.94328 | − | 15.4720i | 0.882324 | − | 1.37292i | −0.0451288 | − | 0.998981i | \(-0.514370\pi\) |
0.927452 | − | 0.373941i | \(-0.121994\pi\) | |||||||
\(128\) | −9.94827 | + | 5.38812i | −0.879311 | + | 0.476247i | ||||
\(129\) | 2.07959 | − | 7.08244i | 0.183098 | − | 0.623574i | ||||
\(130\) | −3.87984 | − | 1.44926i | −0.340285 | − | 0.127109i | ||||
\(131\) | 2.51164 | + | 2.89858i | 0.219443 | + | 0.253250i | 0.854787 | − | 0.518978i | \(-0.173687\pi\) |
−0.635345 | + | 0.772229i | \(0.719142\pi\) | |||||||
\(132\) | −35.1900 | − | 22.6638i | −3.06289 | − | 1.97263i | ||||
\(133\) | −5.42402 | − | 18.4725i | −0.470322 | − | 1.60177i | ||||
\(134\) | 6.96845 | + | 9.31824i | 0.601982 | + | 0.804973i | ||||
\(135\) | 2.36424 | − | 16.4437i | 0.203482 | − | 1.41525i | ||||
\(136\) | −5.76193 | + | 4.30018i | −0.494082 | + | 0.368737i | ||||
\(137\) | 7.96683i | 0.680652i | 0.940307 | + | 0.340326i | \(0.110538\pi\) | ||||
−0.940307 | + | 0.340326i | \(0.889462\pi\) | |||||||
\(138\) | 13.2366 | − | 18.1969i | 1.12677 | − | 1.54902i | ||||
\(139\) | 1.92759 | 0.163496 | 0.0817480 | − | 0.996653i | \(-0.473950\pi\) | ||||
0.0817480 | + | 0.996653i | \(0.473950\pi\) | |||||||
\(140\) | 6.94396 | + | 3.17940i | 0.586872 | + | 0.268708i | ||||
\(141\) | 12.3014 | + | 1.76868i | 1.03597 | + | 0.148949i | ||||
\(142\) | 0.203708 | + | 0.272399i | 0.0170948 | + | 0.0228592i | ||||
\(143\) | −17.7255 | + | 5.20467i | −1.48228 | + | 0.435236i | ||||
\(144\) | −32.0291 | − | 0.0625398i | −2.66909 | − | 0.00521165i | ||||
\(145\) | 1.91456 | − | 1.65898i | 0.158996 | − | 0.137771i | ||||
\(146\) | −1.77851 | + | 4.76126i | −0.147190 | + | 0.394045i | ||||
\(147\) | 24.1353 | + | 7.08677i | 1.99065 | + | 0.584507i | ||||
\(148\) | 9.17035 | + | 1.32764i | 0.753798 | + | 0.109131i | ||||
\(149\) | −18.4088 | − | 11.8306i | −1.50811 | − | 0.969201i | −0.993751 | − | 0.111623i | \(-0.964395\pi\) |
−0.514355 | − | 0.857577i | \(-0.671969\pi\) | |||||||
\(150\) | 2.24661 | + | 4.11914i | 0.183435 | + | 0.336326i | ||||
\(151\) | −1.27629 | − | 1.10592i | −0.103863 | − | 0.0899981i | 0.601381 | − | 0.798962i | \(-0.294617\pi\) |
−0.705245 | + | 0.708964i | \(0.749163\pi\) | |||||||
\(152\) | −13.9298 | − | 3.05162i | −1.12986 | − | 0.247519i | ||||
\(153\) | −20.1468 | + | 2.89667i | −1.62877 | + | 0.234182i | ||||
\(154\) | 33.2905 | − | 7.22489i | 2.68263 | − | 0.582199i | ||||
\(155\) | −6.62493 | + | 3.02550i | −0.532127 | + | 0.243014i | ||||
\(156\) | −12.7400 | + | 14.6738i | −1.02002 | + | 1.17484i | ||||
\(157\) | −7.78932 | + | 17.0562i | −0.621655 | + | 1.36123i | 0.292654 | + | 0.956218i | \(0.405462\pi\) |
−0.914309 | + | 0.405017i | \(0.867266\pi\) | |||||||
\(158\) | −8.01742 | + | 10.6991i | −0.637832 | + | 0.851177i | ||||
\(159\) | 11.2138 | − | 7.20664i | 0.889308 | − | 0.571524i | ||||
\(160\) | 4.53681 | − | 3.37896i | 0.358666 | − | 0.267131i | ||||
\(161\) | 2.86344 | + | 18.0882i | 0.225670 | + | 1.42555i | ||||
\(162\) | −38.5853 | − | 21.0936i | −3.03154 | − | 1.65727i | ||||
\(163\) | −8.17565 | + | 5.25417i | −0.640366 | + | 0.411538i | −0.820135 | − | 0.572171i | \(-0.806102\pi\) |
0.179768 | + | 0.983709i | \(0.442465\pi\) | |||||||
\(164\) | −1.98108 | + | 0.902394i | −0.154697 | + | 0.0704652i | ||||
\(165\) | 19.0371 | + | 8.69394i | 1.48203 | + | 0.676822i | ||||
\(166\) | −0.601648 | + | 2.75924i | −0.0466969 | + | 0.214159i | ||||
\(167\) | −5.15435 | + | 2.35391i | −0.398855 | + | 0.182151i | −0.604736 | − | 0.796426i | \(-0.706721\pi\) |
0.205881 | + | 0.978577i | \(0.433994\pi\) | |||||||
\(168\) | 25.3753 | − | 25.3010i | 1.95774 | − | 1.95202i | ||||
\(169\) | −0.629492 | − | 4.37821i | −0.0484225 | − | 0.336786i | ||||
\(170\) | 2.54317 | − | 2.54069i | 0.195052 | − | 0.194862i | ||||
\(171\) | −30.5100 | − | 26.4371i | −2.33316 | − | 2.02169i | ||||
\(172\) | 4.44970 | + | 0.00434423i | 0.339287 | + | 0.000331244i | ||||
\(173\) | 1.58177 | − | 2.46128i | 0.120260 | − | 0.187128i | −0.775904 | − | 0.630851i | \(-0.782706\pi\) |
0.896164 | + | 0.443723i | \(0.146342\pi\) | |||||||
\(174\) | −4.14840 | − | 11.1389i | −0.314489 | − | 0.844437i | ||||
\(175\) | −3.66393 | − | 1.07583i | −0.276967 | − | 0.0813249i | ||||
\(176\) | 7.15598 | − | 24.1962i | 0.539402 | − | 1.82385i | ||||
\(177\) | 21.8476 | + | 25.2135i | 1.64217 | + | 1.89516i | ||||
\(178\) | 9.48694 | + | 0.683174i | 0.711076 | + | 0.0512061i | ||||
\(179\) | −6.07908 | + | 1.78498i | −0.454372 | + | 0.133416i | −0.500907 | − | 0.865501i | \(-0.667000\pi\) |
0.0465353 | + | 0.998917i | \(0.485182\pi\) | |||||||
\(180\) | 15.8538 | − | 2.26363i | 1.18167 | − | 0.168721i | ||||
\(181\) | 0.694522 | − | 4.83050i | 0.0516234 | − | 0.359049i | −0.947593 | − | 0.319479i | \(-0.896492\pi\) |
0.999217 | − | 0.0395698i | \(-0.0125987\pi\) | |||||||
\(182\) | −1.12056 | − | 15.7757i | −0.0830616 | − | 1.16937i | ||||
\(183\) | 6.60660 | 0.488374 | ||||||||
\(184\) | 12.7688 | + | 4.57810i | 0.941325 | + | 0.337502i | ||||
\(185\) | −4.63298 | −0.340623 | ||||||||
\(186\) | 2.42116 | + | 34.0861i | 0.177528 | + | 2.49932i | ||||
\(187\) | 2.28196 | − | 15.8714i | 0.166874 | − | 1.16063i | ||||
\(188\) | 1.05896 | + | 7.41662i | 0.0772325 | + | 0.540912i | ||||
\(189\) | 60.8680 | − | 17.8725i | 4.42750 | − | 1.30003i | ||||
\(190\) | 7.11166 | + | 0.512125i | 0.515934 | + | 0.0371535i | ||||
\(191\) | −9.58928 | − | 11.0666i | −0.693856 | − | 0.800753i | 0.294053 | − | 0.955789i | \(-0.404996\pi\) |
−0.987909 | + | 0.155037i | \(0.950450\pi\) | |||||||
\(192\) | −7.40306 | − | 25.4884i | −0.534270 | − | 1.83947i | ||||
\(193\) | 25.8414 | + | 7.58771i | 1.86010 | + | 0.546175i | 0.999307 | + | 0.0372227i | \(0.0118511\pi\) |
0.860795 | + | 0.508952i | \(0.169967\pi\) | |||||||
\(194\) | 3.90167 | + | 10.4764i | 0.280124 | + | 0.752162i | ||||
\(195\) | 5.25304 | − | 8.17389i | 0.376178 | − | 0.585344i | ||||
\(196\) | −0.0148041 | + | 15.1636i | −0.00105744 | + | 1.08311i | ||||
\(197\) | 4.08293 | + | 3.53788i | 0.290897 | + | 0.252064i | 0.788067 | − | 0.615590i | \(-0.211082\pi\) |
−0.497170 | + | 0.867653i | \(0.665627\pi\) | |||||||
\(198\) | 50.5349 | − | 50.4856i | 3.59136 | − | 3.58786i | ||||
\(199\) | −1.30163 | − | 9.05300i | −0.0922698 | − | 0.641750i | −0.982503 | − | 0.186246i | \(-0.940368\pi\) |
0.890233 | − | 0.455505i | \(-0.150541\pi\) | |||||||
\(200\) | −2.00293 | + | 1.99707i | −0.141628 | + | 0.141214i | ||||
\(201\) | −24.8303 | + | 11.3396i | −1.75140 | + | 0.799836i | ||||
\(202\) | −2.47378 | + | 11.3451i | −0.174055 | + | 0.798239i | ||||
\(203\) | 8.79959 | + | 4.01864i | 0.617610 | + | 0.282053i | ||||
\(204\) | −6.99176 | − | 15.3495i | −0.489521 | − | 1.07468i | ||||
\(205\) | 0.915674 | − | 0.588468i | 0.0639534 | − | 0.0411004i | ||||
\(206\) | −15.2495 | − | 8.33650i | −1.06248 | − | 0.580831i | ||||
\(207\) | 25.5573 | + | 28.6619i | 1.77636 | + | 1.99214i | ||||
\(208\) | −10.6463 | − | 4.88715i | −0.738189 | − | 0.338863i | ||||
\(209\) | 26.7547 | − | 17.1942i | 1.85066 | − | 1.18935i | ||||
\(210\) | −10.7441 | + | 14.3379i | −0.741416 | + | 0.989408i | ||||
\(211\) | −2.83880 | + | 6.21610i | −0.195431 | + | 0.427934i | −0.981824 | − | 0.189792i | \(-0.939219\pi\) |
0.786393 | + | 0.617726i | \(0.211946\pi\) | |||||||
\(212\) | 6.06770 | + | 5.26807i | 0.416731 | + | 0.361813i | ||||
\(213\) | −0.725862 | + | 0.331490i | −0.0497352 | + | 0.0227133i | ||||
\(214\) | 0.386425 | − | 0.0838641i | 0.0264155 | − | 0.00573283i | ||||
\(215\) | −2.20221 | + | 0.316629i | −0.150189 | + | 0.0215939i | ||||
\(216\) | 10.0552 | − | 45.8995i | 0.684173 | − | 3.12307i | ||||
\(217\) | −21.0183 | − | 18.2125i | −1.42682 | − | 1.23635i | ||||
\(218\) | −6.43715 | − | 11.8024i | −0.435979 | − | 0.799363i | ||||
\(219\) | −10.0308 | − | 6.44642i | −0.677820 | − | 0.435609i | ||||
\(220\) | −1.80765 | + | 12.4859i | −0.121872 | + | 0.841800i | ||||
\(221\) | −7.14278 | − | 2.09731i | −0.480476 | − | 0.141080i | ||||
\(222\) | −7.60652 | + | 20.3635i | −0.510516 | + | 1.36671i | ||||
\(223\) | 11.5546 | − | 10.0121i | 0.773750 | − | 0.670458i | −0.175676 | − | 0.984448i | \(-0.556211\pi\) |
0.949426 | + | 0.313990i | \(0.101666\pi\) | |||||||
\(224\) | 18.9337 | + | 10.3987i | 1.26506 | + | 0.694789i | ||||
\(225\) | −7.68293 | + | 2.25591i | −0.512195 | + | 0.150394i | ||||
\(226\) | −12.9148 | − | 17.2698i | −0.859081 | − | 1.14877i | ||||
\(227\) | 4.93879 | + | 0.710090i | 0.327799 | + | 0.0471304i | 0.304250 | − | 0.952592i | \(-0.401594\pi\) |
0.0235492 | + | 0.999723i | \(0.492503\pi\) | |||||||
\(228\) | 13.9270 | − | 30.4173i | 0.922340 | − | 2.01444i | ||||
\(229\) | −5.90998 | −0.390543 | −0.195271 | − | 0.980749i | \(-0.562559\pi\) | ||||
−0.195271 | + | 0.980749i | \(0.562559\pi\) | |||||||
\(230\) | −6.64648 | − | 1.35067i | −0.438256 | − | 0.0890605i | ||||
\(231\) | 79.9171i | 5.25816i | ||||||||
\(232\) | 5.74243 | − | 4.28562i | 0.377009 | − | 0.281365i | ||||
\(233\) | 2.56986 | − | 17.8737i | 0.168357 | − | 1.17095i | −0.713923 | − | 0.700224i | \(-0.753084\pi\) |
0.882280 | − | 0.470724i | \(-0.156007\pi\) | |||||||
\(234\) | −19.8612 | − | 26.5585i | −1.29837 | − | 1.73619i | ||||
\(235\) | −1.05535 | − | 3.59418i | −0.0688432 | − | 0.234459i | ||||
\(236\) | −10.8896 | + | 16.9083i | −0.708855 | + | 1.10064i | ||||
\(237\) | −20.5399 | − | 23.7043i | −1.33421 | − | 1.53976i | ||||
\(238\) | 12.8594 | + | 4.80347i | 0.833552 | + | 0.311363i | ||||
\(239\) | −2.70416 | + | 9.20954i | −0.174918 | + | 0.595715i | 0.824631 | + | 0.565671i | \(0.191383\pi\) |
−0.999549 | + | 0.0300441i | \(0.990435\pi\) | |||||||
\(240\) | 5.48935 | + | 12.0824i | 0.354336 | + | 0.779913i | ||||
\(241\) | −10.6466 | + | 16.5665i | −0.685810 | + | 1.06714i | 0.307487 | + | 0.951552i | \(0.400512\pi\) |
−0.993297 | + | 0.115589i | \(0.963124\pi\) | |||||||
\(242\) | 19.4962 | + | 35.7461i | 1.25326 | + | 2.29785i | ||||
\(243\) | 34.9206 | − | 40.3006i | 2.24016 | − | 2.58528i | ||||
\(244\) | 1.11830 | + | 3.82238i | 0.0715918 | + | 0.244703i | ||||
\(245\) | −1.07900 | − | 7.50461i | −0.0689348 | − | 0.479452i | ||||
\(246\) | −1.08314 | − | 4.99085i | −0.0690586 | − | 0.318205i | ||||
\(247\) | −6.13371 | − | 13.4309i | −0.390278 | − | 0.854591i | ||||
\(248\) | −19.3114 | + | 7.17058i | −1.22627 | + | 0.455332i | ||||
\(249\) | −6.02653 | − | 2.75222i | −0.381916 | − | 0.174415i | ||||
\(250\) | 0.848059 | − | 1.13172i | 0.0536360 | − | 0.0715764i | ||||
\(251\) | 1.14395 | + | 1.78002i | 0.0722054 | + | 0.112354i | 0.875478 | − | 0.483257i | \(-0.160546\pi\) |
−0.803273 | + | 0.595611i | \(0.796910\pi\) | |||||||
\(252\) | 33.0118 | + | 51.4777i | 2.07955 | + | 3.24279i | ||||
\(253\) | −27.3372 | + | 12.9568i | −1.71868 | + | 0.814587i | ||||
\(254\) | −12.4763 | + | 22.8221i | −0.782831 | + | 1.43199i | ||||
\(255\) | 4.55945 | + | 7.09465i | 0.285524 | + | 0.444284i | ||||
\(256\) | 13.4937 | − | 8.59762i | 0.843358 | − | 0.537351i | ||||
\(257\) | 4.81085 | − | 10.5343i | 0.300092 | − | 0.657111i | −0.698176 | − | 0.715926i | \(-0.746005\pi\) |
0.998269 | + | 0.0588149i | \(0.0187322\pi\) | |||||||
\(258\) | −2.22393 | + | 10.1993i | −0.138456 | + | 0.634980i | ||||
\(259\) | −7.34933 | − | 16.0928i | −0.456665 | − | 0.999957i | ||||
\(260\) | 5.61835 | + | 1.65566i | 0.348435 | + | 0.102679i | ||||
\(261\) | 20.0786 | − | 2.88687i | 1.24283 | − | 0.178693i | ||||
\(262\) | −3.83350 | − | 3.83725i | −0.236834 | − | 0.237066i | ||||
\(263\) | 1.52686 | − | 1.76209i | 0.0941501 | − | 0.108655i | −0.706719 | − | 0.707494i | \(-0.749826\pi\) |
0.800869 | + | 0.598839i | \(0.204371\pi\) | |||||||
\(264\) | 51.9120 | + | 28.4448i | 3.19496 | + | 1.75066i | ||||
\(265\) | −3.37996 | − | 2.17217i | −0.207629 | − | 0.133435i | ||||
\(266\) | 9.50240 | + | 25.5149i | 0.582629 | + | 1.56442i | ||||
\(267\) | −6.28653 | + | 21.4100i | −0.384730 | + | 1.31027i | ||||
\(268\) | −10.7638 | − | 12.4466i | −0.657504 | − | 0.760298i | ||||
\(269\) | 22.1402 | − | 19.1846i | 1.34991 | − | 1.16970i | 0.380352 | − | 0.924842i | \(-0.375803\pi\) |
0.969558 | − | 0.244861i | \(-0.0787425\pi\) | |||||||
\(270\) | −1.68748 | + | 23.4333i | −0.102697 | + | 1.42611i | ||||
\(271\) | −4.20792 | − | 14.3309i | −0.255613 | − | 0.870539i | −0.982890 | − | 0.184194i | \(-0.941032\pi\) |
0.727277 | − | 0.686344i | \(-0.240786\pi\) | |||||||
\(272\) | 7.69724 | − | 6.64343i | 0.466714 | − | 0.402817i | ||||
\(273\) | 36.7252 | + | 5.28028i | 2.22271 | + | 0.319577i | ||||
\(274\) | −0.798279 | − | 11.2385i | −0.0482258 | − | 0.678942i | ||||
\(275\) | − | 6.30804i | − | 0.380389i | ||||||
\(276\) | −16.8490 | + | 26.9960i | −1.01419 | + | 1.62497i | ||||
\(277\) | − | 25.9316i | − | 1.55808i | −0.626977 | − | 0.779038i | \(-0.715708\pi\) | ||
0.626977 | − | 0.779038i | \(-0.284292\pi\) | |||||||
\(278\) | −2.71917 | + | 0.193145i | −0.163085 | + | 0.0115841i | ||||
\(279\) | −57.7241 | − | 8.29948i | −3.45585 | − | 0.496877i | ||||
\(280\) | −10.1141 | − | 3.78926i | −0.604435 | − | 0.226452i | ||||
\(281\) | −6.52226 | − | 22.2128i | −0.389085 | − | 1.32510i | −0.888554 | − | 0.458771i | \(-0.848290\pi\) |
0.499469 | − | 0.866332i | \(-0.333528\pi\) | |||||||
\(282\) | −17.5303 | − | 1.26240i | −1.04392 | − | 0.0751745i | ||||
\(283\) | 9.87372 | − | 8.55563i | 0.586932 | − | 0.508579i | −0.310007 | − | 0.950734i | \(-0.600331\pi\) |
0.896939 | + | 0.442155i | \(0.145786\pi\) | |||||||
\(284\) | −0.314657 | − | 0.363851i | −0.0186715 | − | 0.0215906i | ||||
\(285\) | −4.71255 | + | 16.0495i | −0.279147 | + | 0.950689i | ||||
\(286\) | 24.4831 | − | 9.11812i | 1.44772 | − | 0.539165i | ||||
\(287\) | 3.49660 | + | 2.24713i | 0.206398 | + | 0.132644i | ||||
\(288\) | 45.1884 | − | 3.12110i | 2.66275 | − | 0.183912i | ||||
\(289\) | −6.90130 | + | 7.96453i | −0.405959 | + | 0.468502i | ||||
\(290\) | −2.53456 | + | 2.53209i | −0.148835 | + | 0.148690i | ||||
\(291\) | −25.9597 | + | 3.73244i | −1.52178 | + | 0.218799i | ||||
\(292\) | 2.03179 | − | 6.89472i | 0.118901 | − | 0.403483i | ||||
\(293\) | −2.06410 | − | 4.51974i | −0.120586 | − | 0.264046i | 0.839707 | − | 0.543039i | \(-0.182727\pi\) |
−0.960293 | + | 0.278993i | \(0.909999\pi\) | |||||||
\(294\) | −34.7568 | − | 7.57865i | −2.02706 | − | 0.441996i | ||||
\(295\) | 4.17732 | − | 9.14706i | 0.243213 | − | 0.532562i | ||||
\(296\) | −13.0693 | − | 0.953972i | −0.759636 | − | 0.0554485i | ||||
\(297\) | 56.6559 | + | 88.1583i | 3.28751 | + | 5.11547i | ||||
\(298\) | 27.1539 | + | 14.8444i | 1.57299 | + | 0.859912i | ||||
\(299\) | 4.14795 | + | 13.4186i | 0.239882 | + | 0.776020i | ||||
\(300\) | −3.58194 | − | 5.58559i | −0.206803 | − | 0.322484i | ||||
\(301\) | −4.59320 | − | 7.14716i | −0.264748 | − | 0.411955i | ||||
\(302\) | 1.91123 | + | 1.43219i | 0.109979 | + | 0.0824130i | ||||
\(303\) | −24.7791 | − | 11.3162i | −1.42352 | − | 0.650101i | ||||
\(304\) | 19.9560 | + | 2.90902i | 1.14455 | + | 0.166844i | ||||
\(305\) | −0.827218 | − | 1.81135i | −0.0473664 | − | 0.103718i | ||||
\(306\) | 28.1300 | − | 6.10493i | 1.60809 | − | 0.348996i | ||||
\(307\) | 0.845010 | + | 5.87717i | 0.0482273 | + | 0.335428i | 0.999623 | + | 0.0274569i | \(0.00874090\pi\) |
−0.951396 | + | 0.307971i | \(0.900350\pi\) | |||||||
\(308\) | −46.2377 | + | 13.5276i | −2.63464 | + | 0.770806i | ||||
\(309\) | 26.6998 | − | 30.8132i | 1.51890 | − | 1.75290i | ||||
\(310\) | 9.04236 | − | 4.93177i | 0.513572 | − | 0.280106i | ||||
\(311\) | 4.93134 | − | 7.67331i | 0.279630 | − | 0.435113i | −0.672820 | − | 0.739806i | \(-0.734917\pi\) |
0.952451 | + | 0.304692i | \(0.0985537\pi\) | |||||||
\(312\) | 16.5015 | − | 21.9763i | 0.934213 | − | 1.24416i | ||||
\(313\) | −1.67260 | + | 5.69636i | −0.0945411 | + | 0.321977i | −0.993161 | − | 0.116750i | \(-0.962752\pi\) |
0.898620 | + | 0.438727i | \(0.144571\pi\) | |||||||
\(314\) | 9.27904 | − | 24.8410i | 0.523646 | − | 1.40186i | ||||
\(315\) | −20.0235 | − | 23.1083i | −1.12819 | − | 1.30201i | ||||
\(316\) | 10.2378 | − | 15.8962i | 0.575921 | − | 0.894230i | ||||
\(317\) | 3.28144 | + | 11.1755i | 0.184304 | + | 0.627681i | 0.998866 | + | 0.0476051i | \(0.0151589\pi\) |
−0.814562 | + | 0.580076i | \(0.803023\pi\) | |||||||
\(318\) | −15.0967 | + | 11.2897i | −0.846580 | + | 0.633097i | ||||
\(319\) | −2.27424 | + | 15.8177i | −0.127333 | + | 0.885620i | ||||
\(320\) | −6.06131 | + | 5.22116i | −0.338838 | + | 0.291871i | ||||
\(321\) | 0.927651i | 0.0517764i | ||||||||
\(322\) | −5.85177 | − | 25.2293i | −0.326107 | − | 1.40598i | ||||
\(323\) | 12.8157 | 0.713086 | ||||||||
\(324\) | 56.5442 | + | 25.8896i | 3.14135 | + | 1.43831i | ||||
\(325\) | −2.89880 | − | 0.416785i | −0.160797 | − | 0.0231191i | ||||
\(326\) | 11.0066 | − | 8.23105i | 0.609599 | − | 0.455876i | ||||
\(327\) | 30.2613 | − | 8.88552i | 1.67345 | − | 0.491370i | ||||
\(328\) | 2.70421 | − | 1.47148i | 0.149315 | − | 0.0812487i | ||||
\(329\) | 10.8104 | − | 9.36726i | 0.595996 | − | 0.516434i | ||||
\(330\) | −27.7260 | − | 10.3567i | −1.52626 | − | 0.570116i | ||||
\(331\) | 6.35492 | + | 1.86597i | 0.349298 | + | 0.102563i | 0.451675 | − | 0.892183i | \(-0.350827\pi\) |
−0.102377 | + | 0.994746i | \(0.532645\pi\) | |||||||
\(332\) | 0.572243 | − | 3.95264i | 0.0314059 | − | 0.216929i | ||||
\(333\) | −31.2085 | − | 20.0565i | −1.71021 | − | 1.09909i | ||||
\(334\) | 7.03516 | − | 3.83703i | 0.384947 | − | 0.209953i | ||||
\(335\) | 6.21805 | + | 5.38797i | 0.339729 | + | 0.294376i | ||||
\(336\) | −33.2607 | + | 38.2338i | −1.81452 | + | 2.08582i | ||||
\(337\) | −7.52130 | + | 1.08140i | −0.409711 | + | 0.0589076i | −0.344089 | − | 0.938937i | \(-0.611812\pi\) |
−0.0656221 | + | 0.997845i | \(0.520903\pi\) | |||||||
\(338\) | 1.32670 | + | 6.11309i | 0.0721628 | + | 0.332508i | ||||
\(339\) | 46.0187 | − | 21.0160i | 2.49939 | − | 1.14144i | ||||
\(340\) | −3.33297 | + | 3.83888i | −0.180756 | + | 0.208192i | ||||
\(341\) | 19.0850 | − | 41.7903i | 1.03351 | − | 2.26307i | ||||
\(342\) | 45.6882 | + | 34.2366i | 2.47054 | + | 1.85130i | ||||
\(343\) | 1.86892 | − | 1.20108i | 0.100912 | − | 0.0648524i | ||||
\(344\) | −6.27745 | + | 0.439733i | −0.338457 | + | 0.0237088i | ||||
\(345\) | 6.40356 | − | 14.5658i | 0.344756 | − | 0.784195i | ||||
\(346\) | −1.98472 | + | 3.63052i | −0.106699 | + | 0.195178i | ||||
\(347\) | −12.3076 | + | 7.90962i | −0.660707 | + | 0.424611i | −0.827565 | − | 0.561370i | \(-0.810274\pi\) |
0.166858 | + | 0.985981i | \(0.446638\pi\) | |||||||
\(348\) | 6.96810 | + | 15.2975i | 0.373529 | + | 0.820032i | ||||
\(349\) | 22.1363 | + | 10.1093i | 1.18493 | + | 0.541139i | 0.907682 | − | 0.419659i | \(-0.137850\pi\) |
0.277248 | + | 0.960798i | \(0.410578\pi\) | |||||||
\(350\) | 5.27635 | + | 1.15050i | 0.282033 | + | 0.0614967i | ||||
\(351\) | 44.2557 | − | 20.2109i | 2.36220 | − | 1.07878i | ||||
\(352\) | −7.67019 | + | 34.8496i | −0.408823 | + | 1.85749i | ||||
\(353\) | −1.62579 | − | 11.3076i | −0.0865320 | − | 0.601844i | −0.986236 | − | 0.165343i | \(-0.947127\pi\) |
0.899704 | − | 0.436500i | \(-0.143782\pi\) | |||||||
\(354\) | −33.3460 | − | 33.3786i | −1.77232 | − | 1.77405i | ||||
\(355\) | 0.181772 | + | 0.157506i | 0.00964744 | + | 0.00835955i | ||||
\(356\) | −13.4513 | − | 0.0131324i | −0.712917 | − | 0.000696018i | ||||
\(357\) | −17.4108 | + | 27.0917i | −0.921476 | + | 1.43384i | ||||
\(358\) | 8.39666 | − | 3.12712i | 0.443777 | − | 0.165274i | ||||
\(359\) | −16.1990 | − | 4.75645i | −0.854949 | − | 0.251036i | −0.175247 | − | 0.984524i | \(-0.556073\pi\) |
−0.679702 | + | 0.733489i | \(0.737891\pi\) | |||||||
\(360\) | −22.1375 | + | 4.78177i | −1.16675 | + | 0.252021i | ||||
\(361\) | 4.20354 | + | 4.85114i | 0.221239 | + | 0.255323i | ||||
\(362\) | −0.495716 | + | 6.88379i | −0.0260542 | + | 0.361804i | ||||
\(363\) | −91.6525 | + | 26.9116i | −4.81051 | + | 1.41249i | ||||
\(364\) | 3.16146 | + | 22.1419i | 0.165706 | + | 1.16055i | ||||
\(365\) | −0.511470 | + | 3.55735i | −0.0267716 | + | 0.186200i | ||||
\(366\) | −9.31966 | + | 0.661983i | −0.487146 | + | 0.0346024i | ||||
\(367\) | −36.9007 | −1.92620 | −0.963102 | − | 0.269138i | \(-0.913261\pi\) | ||||
−0.963102 | + | 0.269138i | \(0.913261\pi\) | |||||||
\(368\) | −18.4711 | − | 5.17870i | −0.962872 | − | 0.269959i | ||||
\(369\) | 8.71563 | 0.453718 | ||||||||
\(370\) | 6.53555 | − | 0.464226i | 0.339767 | − | 0.0241339i | ||||
\(371\) | 2.18343 | − | 15.1861i | 0.113358 | − | 0.788423i | ||||
\(372\) | −6.83088 | − | 47.8413i | −0.354164 | − | 2.48046i | ||||
\(373\) | −10.9357 | + | 3.21101i | −0.566228 | + | 0.166260i | −0.552303 | − | 0.833643i | \(-0.686251\pi\) |
−0.0139252 | + | 0.999903i | \(0.504433\pi\) | |||||||
\(374\) | −1.62875 | + | 22.6178i | −0.0842209 | + | 1.16954i | ||||
\(375\) | 2.17265 | + | 2.50737i | 0.112195 | + | 0.129480i | ||||
\(376\) | −2.23698 | − | 10.3562i | −0.115363 | − | 0.534081i | ||||
\(377\) | 7.11861 | + | 2.09021i | 0.366627 | + | 0.107651i | ||||
\(378\) | −84.0732 | + | 31.3109i | −4.32426 | + | 1.61046i | ||||
\(379\) | −8.70294 | + | 13.5420i | −0.447040 | + | 0.695608i | −0.989510 | − | 0.144468i | \(-0.953853\pi\) |
0.542470 | + | 0.840075i | \(0.317489\pi\) | |||||||
\(380\) | −10.0834 | − | 0.00984443i | −0.517270 | − | 0.000505009i | ||||
\(381\) | −46.1146 | − | 39.9586i | −2.36252 | − | 2.04714i | ||||
\(382\) | 14.6361 | + | 14.6504i | 0.748847 | + | 0.749579i | ||||
\(383\) | 2.88632 | + | 20.0748i | 0.147484 | + | 1.02577i | 0.920320 | + | 0.391167i | \(0.127928\pi\) |
−0.772836 | + | 0.634606i | \(0.781162\pi\) | |||||||
\(384\) | 12.9971 | + | 35.2137i | 0.663258 | + | 1.79699i | ||||
\(385\) | 21.9112 | − | 10.0065i | 1.11670 | − | 0.509978i | ||||
\(386\) | −37.2136 | − | 8.11436i | −1.89412 | − | 0.413010i | ||||
\(387\) | −16.2051 | − | 7.40062i | −0.823752 | − | 0.376195i | ||||
\(388\) | −6.55367 | − | 14.3877i | −0.332712 | − | 0.730425i | ||||
\(389\) | −22.0958 | + | 14.2001i | −1.12030 | + | 0.719974i | −0.963514 | − | 0.267658i | \(-0.913750\pi\) |
−0.156788 | + | 0.987632i | \(0.550114\pi\) | |||||||
\(390\) | −6.59122 | + | 12.0569i | −0.333760 | + | 0.610526i | ||||
\(391\) | −12.0900 | − | 1.56338i | −0.611418 | − | 0.0790634i | ||||
\(392\) | −1.49851 | − | 21.3921i | −0.0756861 | − | 1.08046i | ||||
\(393\) | 10.7047 | − | 6.87949i | 0.539981 | − | 0.347025i | ||||
\(394\) | −6.11412 | − | 4.58163i | −0.308025 | − | 0.230819i | ||||
\(395\) | −3.92727 | + | 8.59952i | −0.197602 | + | 0.432689i | ||||
\(396\) | −66.2289 | + | 76.2816i | −3.32813 | + | 3.83329i | ||||
\(397\) | −26.0458 | + | 11.8947i | −1.30720 | + | 0.596980i | −0.942519 | − | 0.334152i | \(-0.891550\pi\) |
−0.364684 | + | 0.931131i | \(0.618823\pi\) | |||||||
\(398\) | 2.74326 | + | 12.6403i | 0.137507 | + | 0.633600i | ||||
\(399\) | −63.2239 | + | 9.09022i | −3.16515 | + | 0.455080i | ||||
\(400\) | 2.62534 | − | 3.01788i | 0.131267 | − | 0.150894i | ||||
\(401\) | −4.84985 | − | 4.20242i | −0.242190 | − | 0.209859i | 0.525305 | − | 0.850914i | \(-0.323951\pi\) |
−0.767495 | + | 0.641056i | \(0.778497\pi\) | |||||||
\(402\) | 33.8909 | − | 18.4844i | 1.69032 | − | 0.921916i | ||||
\(403\) | −17.9434 | − | 11.5315i | −0.893823 | − | 0.574425i | ||||
\(404\) | 2.35288 | − | 16.2520i | 0.117060 | − | 0.808566i | ||||
\(405\) | −29.8352 | − | 8.76039i | −1.48252 | − | 0.435307i | ||||
\(406\) | −12.8159 | − | 4.78721i | −0.636042 | − | 0.237585i | ||||
\(407\) | 22.0868 | − | 19.1383i | 1.09480 | − | 0.948651i | ||||
\(408\) | 11.4010 | + | 20.9523i | 0.564434 | + | 1.03729i | ||||
\(409\) | 13.0567 | − | 3.83380i | 0.645613 | − | 0.189569i | 0.0574969 | − | 0.998346i | \(-0.481688\pi\) |
0.588116 | + | 0.808777i | \(0.299870\pi\) | |||||||
\(410\) | −1.23274 | + | 0.921878i | −0.0608806 | + | 0.0455283i | ||||
\(411\) | 26.1627 | + | 3.76163i | 1.29051 | + | 0.185547i | ||||
\(412\) | 22.3471 | + | 10.2320i | 1.10096 | + | 0.504092i | ||||
\(413\) | 38.3991 | 1.88950 | ||||||||
\(414\) | −38.9246 | − | 37.8713i | −1.91304 | − | 1.86128i | ||||
\(415\) | 1.99692i | 0.0980252i | ||||||||
\(416\) | 15.5080 | + | 5.82735i | 0.760343 | + | 0.285709i | ||||
\(417\) | 0.910133 | − | 6.33011i | 0.0445694 | − | 0.309987i | ||||
\(418\) | −36.0189 | + | 26.9360i | −1.76174 | + | 1.31748i | ||||
\(419\) | 4.05425 | + | 13.8075i | 0.198063 | + | 0.674541i | 0.997294 | + | 0.0735171i | \(0.0234224\pi\) |
−0.799231 | + | 0.601024i | \(0.794759\pi\) | |||||||
\(420\) | 13.7197 | − | 21.3024i | 0.669451 | − | 1.03945i | ||||
\(421\) | 21.8898 | + | 25.2622i | 1.06685 | + | 1.23121i | 0.971818 | + | 0.235731i | \(0.0757485\pi\) |
0.0950277 | + | 0.995475i | \(0.469706\pi\) | |||||||
\(422\) | 3.38172 | − | 9.05325i | 0.164620 | − | 0.440705i | ||||
\(423\) | 8.45046 | − | 28.7796i | 0.410875 | − | 1.39931i | ||||
\(424\) | −9.08732 | − | 6.82347i | −0.441319 | − | 0.331377i | ||||
\(425\) | 1.37427 | − | 2.13841i | 0.0666620 | − | 0.103728i | ||||
\(426\) | 0.990729 | − | 0.540351i | 0.0480010 | − | 0.0261801i | ||||
\(427\) | 4.97957 | − | 5.74673i | 0.240978 | − | 0.278104i | ||||
\(428\) | −0.536711 | + | 0.157024i | −0.0259429 | + | 0.00759002i | ||||
\(429\) | 8.72261 | + | 60.6671i | 0.421132 | + | 2.92903i | ||||
\(430\) | 3.07484 | − | 0.667318i | 0.148282 | − | 0.0321809i | ||||
\(431\) | −0.396216 | − | 0.867592i | −0.0190851 | − | 0.0417905i | 0.899849 | − | 0.436201i | \(-0.143676\pi\) |
−0.918935 | + | 0.394410i | \(0.870949\pi\) | |||||||
\(432\) | −9.58539 | + | 65.7561i | −0.461177 | + | 3.16369i | ||||
\(433\) | −35.3548 | − | 16.1460i | −1.69905 | − | 0.775928i | −0.998027 | − | 0.0627850i | \(-0.980002\pi\) |
−0.701018 | − | 0.713143i | \(-0.747271\pi\) | |||||||
\(434\) | 31.4746 | + | 23.5856i | 1.51083 | + | 1.13214i | ||||
\(435\) | −4.54402 | − | 7.07064i | −0.217869 | − | 0.339011i | ||||
\(436\) | 10.2632 | + | 16.0042i | 0.491520 | + | 0.766464i | ||||
\(437\) | −13.3598 | − | 20.1532i | −0.639088 | − | 0.964058i | ||||
\(438\) | 14.7960 | + | 8.08861i | 0.706981 | + | 0.386489i | ||||
\(439\) | −7.86280 | − | 12.2347i | −0.375271 | − | 0.583933i | 0.601328 | − | 0.799002i | \(-0.294639\pi\) |
−0.976599 | + | 0.215070i | \(0.931002\pi\) | |||||||
\(440\) | 1.29888 | − | 17.7945i | 0.0619218 | − | 0.848319i | ||||
\(441\) | 25.2196 | − | 55.2233i | 1.20093 | − | 2.62968i | ||||
\(442\) | 10.2862 | + | 2.24288i | 0.489264 | + | 0.106683i | ||||
\(443\) | −9.37626 | − | 20.5311i | −0.445480 | − | 0.975464i | −0.990560 | − | 0.137080i | \(-0.956228\pi\) |
0.545080 | − | 0.838384i | \(-0.316499\pi\) | |||||||
\(444\) | 8.68978 | − | 29.4881i | 0.412399 | − | 1.39945i | ||||
\(445\) | 6.65719 | − | 0.957159i | 0.315581 | − | 0.0453737i | ||||
\(446\) | −15.2963 | + | 15.2814i | −0.724302 | + | 0.723595i | ||||
\(447\) | −47.5430 | + | 54.8676i | −2.24871 | + | 2.59515i | ||||
\(448\) | −27.7509 | − | 12.7718i | −1.31111 | − | 0.603411i | ||||
\(449\) | −17.1643 | − | 11.0308i | −0.810032 | − | 0.520576i | 0.0688433 | − | 0.997627i | \(-0.478069\pi\) |
−0.878875 | + | 0.477052i | \(0.841705\pi\) | |||||||
\(450\) | 10.6120 | − | 3.95215i | 0.500252 | − | 0.186306i | ||||
\(451\) | −1.93440 | + | 6.58795i | −0.0910871 | + | 0.310214i | ||||
\(452\) | 19.9489 | + | 23.0677i | 0.938315 | + | 1.08501i | ||||
\(453\) | −4.23439 | + | 3.66912i | −0.198949 | + | 0.172390i | ||||
\(454\) | −7.03810 | − | 0.506828i | −0.330314 | − | 0.0237866i | ||||
\(455\) | −3.15068 | − | 10.7302i | −0.147706 | − | 0.503041i | ||||
\(456\) | −16.5985 | + | 44.3040i | −0.777295 | + | 2.07472i | ||||
\(457\) | −14.8702 | − | 2.13801i | −0.695597 | − | 0.100012i | −0.214558 | − | 0.976711i | \(-0.568831\pi\) |
−0.481038 | + | 0.876700i | \(0.659740\pi\) | |||||||
\(458\) | 8.33697 | − | 0.592182i | 0.389561 | − | 0.0276708i | ||||
\(459\) | 42.2285i | 1.97106i | ||||||||
\(460\) | 9.51126 | + | 1.23936i | 0.443465 | + | 0.0577853i | ||||
\(461\) | 7.52873i | 0.350648i | 0.984511 | + | 0.175324i | \(0.0560973\pi\) | ||||
−0.984511 | + | 0.175324i | \(0.943903\pi\) | |||||||
\(462\) | −8.00772 | − | 112.736i | −0.372553 | − | 5.24495i | ||||
\(463\) | 35.3314 | + | 5.07989i | 1.64199 | + | 0.236083i | 0.900492 | − | 0.434872i | \(-0.143206\pi\) |
0.741499 | + | 0.670954i | \(0.234115\pi\) | |||||||
\(464\) | −7.67119 | + | 6.62094i | −0.356126 | + | 0.307370i | ||||
\(465\) | 6.80758 | + | 23.1845i | 0.315694 | + | 1.07515i | ||||
\(466\) | −1.83424 | + | 25.4713i | −0.0849695 | + | 1.17993i | ||||
\(467\) | −14.2578 | + | 12.3545i | −0.659773 | + | 0.571696i | −0.919067 | − | 0.394102i | \(-0.871056\pi\) |
0.259294 | + | 0.965798i | \(0.416510\pi\) | |||||||
\(468\) | 30.6786 | + | 35.4749i | 1.41812 | + | 1.63983i | ||||
\(469\) | −8.85154 | + | 30.1456i | −0.408726 | + | 1.39199i | ||||
\(470\) | 1.84887 | + | 4.96442i | 0.0852821 | + | 0.228992i | ||||
\(471\) | 52.3340 | + | 33.6330i | 2.41142 | + | 1.54973i | ||||
\(472\) | 13.6674 | − | 24.9430i | 0.629091 | − | 1.14809i | ||||
\(473\) | 9.19061 | − | 10.6065i | 0.422585 | − | 0.487689i | ||||
\(474\) | 31.3499 | + | 31.3806i | 1.43995 | + | 1.44136i | ||||
\(475\) | 4.99041 | − | 0.717512i | 0.228976 | − | 0.0329217i | ||||
\(476\) | −18.6216 | − | 5.48754i | −0.853518 | − | 0.251521i | ||||
\(477\) | −13.3645 | − | 29.2641i | −0.611916 | − | 1.33991i | ||||
\(478\) | 2.89186 | − | 13.2625i | 0.132270 | − | 0.606612i | ||||
\(479\) | 12.3817 | − | 27.1122i | 0.565735 | − | 1.23879i | −0.383302 | − | 0.923623i | \(-0.625213\pi\) |
0.949037 | − | 0.315164i | \(-0.102060\pi\) | |||||||
\(480\) | −8.95425 | − | 16.4941i | −0.408704 | − | 0.752848i | ||||
\(481\) | −7.33552 | − | 11.4143i | −0.334471 | − | 0.520447i | ||||
\(482\) | 13.3588 | − | 24.4365i | 0.608477 | − | 1.11305i | ||||
\(483\) | 60.7527 | − | 0.862862i | 2.76434 | − | 0.0392616i | ||||
\(484\) | −31.0843 | − | 48.4721i | −1.41292 | − | 2.20328i | ||||
\(485\) | 4.27377 | + | 6.65011i | 0.194062 | + | 0.301966i | ||||
\(486\) | −45.2230 | + | 60.3494i | −2.05136 | + | 2.73751i | ||||
\(487\) | 15.9971 | + | 7.30562i | 0.724897 | + | 0.331049i | 0.743462 | − | 0.668778i | \(-0.233182\pi\) |
−0.0185650 | + | 0.999828i | \(0.505910\pi\) | |||||||
\(488\) | −1.96054 | − | 5.28002i | −0.0887496 | − | 0.239015i | ||||
\(489\) | 13.3942 | + | 29.3293i | 0.605708 | + | 1.32632i | ||||
\(490\) | 2.27406 | + | 10.4783i | 0.102732 | + | 0.473363i | ||||
\(491\) | 1.75601 | + | 12.2133i | 0.0792477 | + | 0.551180i | 0.990306 | + | 0.138902i | \(0.0443574\pi\) |
−0.911058 | + | 0.412277i | \(0.864733\pi\) | |||||||
\(492\) | 2.02803 | + | 6.93186i | 0.0914306 | + | 0.312512i | ||||
\(493\) | −4.21701 | + | 4.86669i | −0.189925 | + | 0.219185i | ||||
\(494\) | 9.99835 | + | 18.3319i | 0.449847 | + | 0.824791i | ||||
\(495\) | 27.3079 | − | 42.4919i | 1.22740 | − | 1.90987i | ||||
\(496\) | 26.5233 | − | 12.0502i | 1.19093 | − | 0.541072i | ||||
\(497\) | −0.258756 | + | 0.881242i | −0.0116068 | + | 0.0395291i | ||||
\(498\) | 8.77716 | + | 3.27859i | 0.393314 | + | 0.146917i | ||||
\(499\) | 26.3208 | + | 30.3759i | 1.17828 | + | 1.35981i | 0.919121 | + | 0.393976i | \(0.128901\pi\) |
0.259161 | + | 0.965834i | \(0.416554\pi\) | |||||||
\(500\) | −1.08292 | + | 1.68145i | −0.0484298 | + | 0.0751968i | ||||
\(501\) | 5.29645 | + | 18.0381i | 0.236628 | + | 0.805881i | ||||
\(502\) | −1.79208 | − | 2.39638i | −0.0799844 | − | 0.106955i | ||||
\(503\) | −2.01754 | + | 14.0323i | −0.0899575 | + | 0.625668i | 0.894107 | + | 0.447854i | \(0.147812\pi\) |
−0.984064 | + | 0.177814i | \(0.943097\pi\) | |||||||
\(504\) | −51.7264 | − | 69.3098i | −2.30408 | − | 3.08730i | ||||
\(505\) | 8.21070i | 0.365371i | ||||||||
\(506\) | 37.2652 | − | 21.0168i | 1.65664 | − | 0.934312i | ||||
\(507\) | −14.6751 | −0.651743 | ||||||||
\(508\) | 15.3130 | − | 33.4444i | 0.679405 | − | 1.48385i | ||||
\(509\) | −12.4446 | − | 1.78926i | −0.551597 | − | 0.0793076i | −0.139120 | − | 0.990276i | \(-0.544427\pi\) |
−0.412477 | + | 0.910968i | \(0.635336\pi\) | |||||||
\(510\) | −7.14272 | − | 9.55127i | −0.316285 | − | 0.422938i | ||||
\(511\) | −13.1679 | + | 3.86645i | −0.582514 | + | 0.171042i | ||||
\(512\) | −18.1736 | + | 13.4804i | −0.803166 | + | 0.595755i | ||||
\(513\) | −63.2993 | + | 54.8492i | −2.79473 | + | 2.42165i | ||||
\(514\) | −5.73093 | + | 15.3423i | −0.252780 | + | 0.676722i | ||||
\(515\) | −11.7913 | − | 3.46223i | −0.519586 | − | 0.152564i | ||||
\(516\) | 2.11524 | − | 14.6106i | 0.0931183 | − | 0.643194i | ||||
\(517\) | 19.8783 | + | 12.7750i | 0.874247 | + | 0.561845i | ||||
\(518\) | 11.9799 | + | 21.9650i | 0.526367 | + | 0.965088i | ||||
\(519\) | −7.33588 | − | 6.35658i | −0.322010 | − | 0.279023i | ||||
\(520\) | −8.09148 | − | 1.77261i | −0.354835 | − | 0.0777340i | ||||
\(521\) | −26.4935 | + | 3.80918i | −1.16070 | + | 0.166883i | −0.695636 | − | 0.718394i | \(-0.744878\pi\) |
−0.465063 | + | 0.885277i | \(0.653968\pi\) | |||||||
\(522\) | −28.0348 | + | 6.08427i | −1.22705 | + | 0.266301i | ||||
\(523\) | 8.09353 | − | 3.69619i | 0.353905 | − | 0.161623i | −0.230526 | − | 0.973066i | \(-0.574045\pi\) |
0.584432 | + | 0.811443i | \(0.301318\pi\) | |||||||
\(524\) | 5.79226 | + | 5.02893i | 0.253036 | + | 0.219690i | ||||
\(525\) | −5.26293 | + | 11.5242i | −0.229693 | + | 0.502958i | ||||
\(526\) | −1.97731 | + | 2.63870i | −0.0862150 | + | 0.115053i | ||||
\(527\) | 15.5742 | − | 10.0089i | 0.678424 | − | 0.435996i | ||||
\(528\) | −76.0803 | − | 34.9244i | −3.31097 | − | 1.51989i | ||||
\(529\) | 10.1449 | + | 20.6417i | 0.441081 | + | 0.897467i | ||||
\(530\) | 4.98562 | + | 2.72551i | 0.216561 | + | 0.118389i | ||||
\(531\) | 67.7373 | − | 43.5321i | 2.93955 | − | 1.88913i | ||||
\(532\) | −15.9613 | − | 35.0408i | −0.692008 | − | 1.51921i | ||||
\(533\) | 2.89962 | + | 1.32421i | 0.125597 | + | 0.0573580i | ||||
\(534\) | 6.72287 | − | 30.8321i | 0.290927 | − | 1.33423i | ||||
\(535\) | 0.254337 | − | 0.116152i | 0.0109960 | − | 0.00502169i | ||||
\(536\) | 16.4312 | + | 16.4794i | 0.709720 | + | 0.711802i | ||||
\(537\) | 2.99148 | + | 20.8062i | 0.129092 | + | 0.897854i | ||||
\(538\) | −29.3099 | + | 29.2813i | −1.26364 | + | 1.26241i | ||||
\(539\) | 36.1446 | + | 31.3195i | 1.55686 | + | 1.34903i | ||||
\(540\) | 0.0324380 | − | 33.2255i | 0.00139591 | − | 1.42980i | ||||
\(541\) | −6.05141 | + | 9.41619i | −0.260171 | + | 0.404833i | −0.946624 | − | 0.322341i | \(-0.895530\pi\) |
0.686453 | + | 0.727174i | \(0.259167\pi\) | |||||||
\(542\) | 7.37191 | + | 19.7943i | 0.316650 | + | 0.850240i | ||||
\(543\) | −15.5352 | − | 4.56155i | −0.666680 | − | 0.195755i | ||||
\(544\) | −10.1925 | + | 10.1429i | −0.437001 | + | 0.434872i | ||||
\(545\) | −6.22522 | − | 7.18429i | −0.266659 | − | 0.307741i | ||||
\(546\) | −52.3358 | − | 3.76881i | −2.23977 | − | 0.161290i | ||||
\(547\) | 28.7980 | − | 8.45586i | 1.23131 | − | 0.361547i | 0.399569 | − | 0.916703i | \(-0.369160\pi\) |
0.831746 | + | 0.555157i | \(0.187342\pi\) | |||||||
\(548\) | 2.25220 | + | 15.7737i | 0.0962091 | + | 0.673819i | ||||
\(549\) | 2.26920 | − | 15.7826i | 0.0968472 | − | 0.673587i | ||||
\(550\) | 0.632067 | + | 8.89850i | 0.0269514 | + | 0.379433i | ||||
\(551\) | −12.7723 | −0.544120 | ||||||||
\(552\) | 21.0632 | − | 39.7704i | 0.896508 | − | 1.69274i | ||||
\(553\) | −36.1006 | −1.53515 | ||||||||
\(554\) | 2.59835 | + | 36.5806i | 0.110393 | + | 1.55416i | ||||
\(555\) | −2.18751 | + | 15.2145i | −0.0928547 | + | 0.645819i | ||||
\(556\) | 3.81647 | − | 0.544924i | 0.161855 | − | 0.0231099i | ||||
\(557\) | −9.15771 | + | 2.68894i | −0.388024 | + | 0.113934i | −0.469925 | − | 0.882706i | \(-0.655719\pi\) |
0.0819008 | + | 0.996640i | \(0.473901\pi\) | |||||||
\(558\) | 82.2607 | + | 5.92376i | 3.48237 | + | 0.250773i | ||||
\(559\) | −4.26689 | − | 4.92426i | −0.180470 | − | 0.208274i | ||||
\(560\) | 14.6473 | + | 4.33192i | 0.618961 | + | 0.183057i | ||||
\(561\) | −51.0435 | − | 14.9877i | −2.15506 | − | 0.632782i | ||||
\(562\) | 11.4264 | + | 30.6811i | 0.481994 | + | 1.29421i | ||||
\(563\) | 8.73447 | − | 13.5911i | 0.368114 | − | 0.572797i | −0.606944 | − | 0.794744i | \(-0.707605\pi\) |
0.975059 | + | 0.221947i | \(0.0712413\pi\) | |||||||
\(564\) | 24.8558 | + | 0.0242666i | 1.04662 | + | 0.00102181i | ||||
\(565\) | −11.5241 | − | 9.98568i | −0.484822 | − | 0.420101i | ||||
\(566\) | −13.0712 | + | 13.0584i | −0.549423 | + | 0.548887i | ||||
\(567\) | −16.8983 | − | 117.530i | −0.709660 | − | 4.93579i | ||||
\(568\) | 0.480332 | + | 0.481741i | 0.0201543 | + | 0.0202134i | ||||
\(569\) | 0.719580 | − | 0.328621i | 0.0301664 | − | 0.0137765i | −0.400275 | − | 0.916395i | \(-0.631085\pi\) |
0.430441 | + | 0.902619i | \(0.358358\pi\) | |||||||
\(570\) | 5.03964 | − | 23.1125i | 0.211087 | − | 0.968078i | ||||
\(571\) | 13.9637 | + | 6.37702i | 0.584364 | + | 0.266870i | 0.685584 | − | 0.727994i | \(-0.259547\pi\) |
−0.101219 | + | 0.994864i | \(0.532274\pi\) | |||||||
\(572\) | −33.6237 | + | 15.3158i | −1.40588 | + | 0.640384i | ||||
\(573\) | −40.8699 | + | 26.2655i | −1.70737 | + | 1.09726i | ||||
\(574\) | −5.15767 | − | 2.81957i | −0.215277 | − | 0.117687i | ||||
\(575\) | −4.79535 | + | 0.0681077i | −0.199980 | + | 0.00284029i | ||||
\(576\) | −63.4327 | + | 8.93069i | −2.64303 | + | 0.372112i | ||||
\(577\) | −34.9950 | + | 22.4899i | −1.45686 | + | 0.936269i | −0.457982 | + | 0.888962i | \(0.651428\pi\) |
−0.998880 | + | 0.0473070i | \(0.984936\pi\) | |||||||
\(578\) | 8.93734 | − | 11.9267i | 0.371744 | − | 0.496087i | ||||
\(579\) | 37.1190 | − | 81.2792i | 1.54261 | − | 3.37785i | ||||
\(580\) | 3.32169 | − | 3.82588i | 0.137926 | − | 0.158861i | ||||
\(581\) | −6.93638 | + | 3.16774i | −0.287769 | + | 0.131420i | ||||
\(582\) | 36.2463 | − | 7.86636i | 1.50246 | − | 0.326071i | ||||
\(583\) | 25.0862 | − | 3.60686i | 1.03897 | − | 0.149381i | ||||
\(584\) | −2.17531 | + | 9.92969i | −0.0900148 | + | 0.410894i | ||||
\(585\) | −17.7225 | − | 15.3566i | −0.732735 | − | 0.634918i | ||||
\(586\) | 3.36461 | + | 6.16899i | 0.138991 | + | 0.254839i | ||||
\(587\) | 26.2152 | + | 16.8475i | 1.08202 | + | 0.695370i | 0.955022 | − | 0.296534i | \(-0.0958307\pi\) |
0.126994 | + | 0.991903i | \(0.459467\pi\) | |||||||
\(588\) | 49.7894 | + | 7.20826i | 2.05328 | + | 0.297263i | ||||
\(589\) | 35.2319 | + | 10.3450i | 1.45171 | + | 0.426259i | ||||
\(590\) | −4.97624 | + | 13.3220i | −0.204869 | + | 0.548456i | ||||
\(591\) | 13.5460 | − | 11.7377i | 0.557209 | − | 0.482825i | ||||
\(592\) | 18.5319 | + | 0.0361852i | 0.761655 | + | 0.00148720i | ||||
\(593\) | 32.9447 | − | 9.67343i | 1.35288 | − | 0.397240i | 0.476630 | − | 0.879104i | \(-0.341858\pi\) |
0.876246 | + | 0.481864i | \(0.160040\pi\) | |||||||
\(594\) | −88.7557 | − | 118.684i | −3.64169 | − | 4.86968i | ||||
\(595\) | 9.60785 | + | 1.38140i | 0.393883 | + | 0.0566319i | ||||
\(596\) | −39.7924 | − | 18.2195i | −1.62996 | − | 0.746301i | ||||
\(597\) | −30.3442 | −1.24191 | ||||||||
\(598\) | −7.19590 | − | 18.5135i | −0.294262 | − | 0.757074i | ||||
\(599\) | 31.0476i | 1.26857i | 0.773100 | + | 0.634284i | \(0.218705\pi\) | ||||
−0.773100 | + | 0.634284i | \(0.781295\pi\) | |||||||
\(600\) | 5.61258 | + | 7.52045i | 0.229132 | + | 0.307021i | ||||
\(601\) | 5.15493 | − | 35.8533i | 0.210274 | − | 1.46249i | −0.561968 | − | 0.827159i | \(-0.689955\pi\) |
0.772242 | − | 0.635329i | \(-0.219135\pi\) | |||||||
\(602\) | 7.19559 | + | 9.62196i | 0.293270 | + | 0.392162i | ||||
\(603\) | 18.5609 | + | 63.2126i | 0.755858 | + | 2.57421i | ||||
\(604\) | −2.83960 | − | 1.82882i | −0.115542 | − | 0.0744136i | ||||
\(605\) | 18.8543 | + | 21.7591i | 0.766538 | + | 0.884632i | ||||
\(606\) | 36.0888 | + | 13.4805i | 1.46601 | + | 0.547608i | ||||
\(607\) | 9.33300 | − | 31.7853i | 0.378815 | − | 1.29012i | −0.520889 | − | 0.853624i | \(-0.674400\pi\) |
0.899704 | − | 0.436500i | \(-0.143782\pi\) | |||||||
\(608\) | −28.4426 | − | 2.10404i | −1.15350 | − | 0.0853302i | ||||
\(609\) | 17.3518 | − | 27.0000i | 0.703132 | − | 1.09410i | ||||
\(610\) | 1.34842 | + | 2.47232i | 0.0545960 | + | 0.100101i | ||||
\(611\) | 7.18404 | − | 8.29083i | 0.290635 | − | 0.335411i | ||||
\(612\) | −39.0702 | + | 11.4306i | −1.57932 | + | 0.462055i | ||||
\(613\) | 1.36167 | + | 9.47063i | 0.0549974 | + | 0.382515i | 0.998667 | + | 0.0516247i | \(0.0164400\pi\) |
−0.943669 | + | 0.330890i | \(0.892651\pi\) | |||||||
\(614\) | −1.78091 | − | 8.20602i | −0.0718719 | − | 0.331168i | ||||
\(615\) | −1.50015 | − | 3.28488i | −0.0604921 | − | 0.132459i | ||||
\(616\) | 63.8701 | − | 23.7158i | 2.57340 | − | 0.955538i | ||||
\(617\) | 5.71630 | + | 2.61055i | 0.230130 | + | 0.105097i | 0.527143 | − | 0.849777i | \(-0.323263\pi\) |
−0.297013 | + | 0.954873i | \(0.595991\pi\) | |||||||
\(618\) | −34.5769 | + | 46.1423i | −1.39089 | + | 1.85612i | ||||
\(619\) | 14.2016 | + | 22.0982i | 0.570812 | + | 0.888201i | 0.999886 | − | 0.0150681i | \(-0.00479651\pi\) |
−0.429074 | + | 0.903269i | \(0.641160\pi\) | |||||||
\(620\) | −12.2615 | + | 7.86310i | −0.492435 | + | 0.315790i | ||||
\(621\) | 66.4059 | − | 44.0215i | 2.66478 | − | 1.76652i | ||||
\(622\) | −6.18757 | + | 11.3185i | −0.248099 | + | 0.453832i | ||||
\(623\) | 13.8851 | + | 21.6056i | 0.556294 | + | 0.865610i | ||||
\(624\) | −21.0760 | + | 32.6545i | −0.843713 | + | 1.30722i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 1.78870 | − | 8.20322i | 0.0714906 | − | 0.327867i | ||||
\(627\) | −43.8325 | − | 95.9797i | −1.75050 | − | 3.83306i | ||||
\(628\) | −10.6005 | + | 35.9720i | −0.423005 | + | 1.43544i | ||||
\(629\) | 11.6568 | − | 1.67600i | 0.464789 | − | 0.0668266i | ||||
\(630\) | 30.5618 | + | 30.5916i | 1.21761 | + | 1.21880i | ||||
\(631\) | 13.0996 | − | 15.1178i | 0.521489 | − | 0.601830i | −0.432514 | − | 0.901627i | \(-0.642374\pi\) |
0.954003 | + | 0.299797i | \(0.0969190\pi\) | |||||||
\(632\) | −12.8492 | + | 23.4499i | −0.511115 | + | 0.932788i | ||||
\(633\) | 19.0730 | + | 12.2575i | 0.758084 | + | 0.487191i | ||||
\(634\) | −5.74878 | − | 15.4361i | −0.228313 | − | 0.613045i | ||||
\(635\) | −5.18153 | + | 17.6467i | −0.205623 | + | 0.700287i | ||||
\(636\) | 20.1650 | − | 17.4387i | 0.799596 | − | 0.691488i | ||||
\(637\) | 16.7807 | − | 14.5406i | 0.664877 | − | 0.576119i | ||||
\(638\) | 1.62324 | − | 22.5412i | 0.0642648 | − | 0.892416i | ||||
\(639\) | 0.542588 | + | 1.84789i | 0.0214645 | + | 0.0731012i | ||||
\(640\) | 8.02729 | − | 7.97262i | 0.317306 | − | 0.315145i | ||||
\(641\) | 21.7337 | + | 3.12484i | 0.858430 | + | 0.123424i | 0.557454 | − | 0.830208i | \(-0.311778\pi\) |
0.300976 | + | 0.953632i | \(0.402687\pi\) | |||||||
\(642\) | −0.0929508 | − | 1.30860i | −0.00366848 | − | 0.0516463i | ||||
\(643\) | − | 8.65195i | − | 0.341200i | −0.985340 | − | 0.170600i | \(-0.945429\pi\) | ||
0.985340 | − | 0.170600i | \(-0.0545705\pi\) | |||||||
\(644\) | 10.7828 | + | 35.0036i | 0.424903 | + | 1.37934i | ||||
\(645\) | 7.38144i | 0.290644i | ||||||||
\(646\) | −18.0786 | + | 1.28414i | −0.711294 | + | 0.0505238i | ||||
\(647\) | 11.5671 | + | 1.66310i | 0.454750 | + | 0.0653832i | 0.365884 | − | 0.930660i | \(-0.380767\pi\) |
0.0888658 | + | 0.996044i | \(0.471676\pi\) | |||||||
\(648\) | −82.3588 | − | 30.8557i | −3.23536 | − | 1.21213i | ||||
\(649\) | 17.8709 | + | 60.8628i | 0.701495 | + | 2.38907i | ||||
\(650\) | 4.13098 | + | 0.297481i | 0.162031 | + | 0.0116682i | ||||
\(651\) | −69.7330 | + | 60.4240i | −2.73305 | + | 2.36820i | ||||
\(652\) | −14.7018 | + | 12.7141i | −0.575767 | + | 0.497921i | ||||
\(653\) | −5.18740 | + | 17.6667i | −0.202999 | + | 0.691350i | 0.793562 | + | 0.608489i | \(0.208224\pi\) |
−0.996561 | + | 0.0828613i | \(0.973594\pi\) | |||||||
\(654\) | −41.7981 | + | 15.5666i | −1.63443 | + | 0.608703i | ||||
\(655\) | −3.22652 | − | 2.07356i | −0.126071 | − | 0.0810207i | ||||
\(656\) | −3.66728 | + | 2.34671i | −0.143183 | + | 0.0916238i | ||||
\(657\) | −18.8453 | + | 21.7487i | −0.735226 | + | 0.848497i | ||||
\(658\) | −14.3112 | + | 14.2972i | −0.557908 | + | 0.557363i | ||||
\(659\) | 33.5260 | − | 4.82031i | 1.30599 | − | 0.187773i | 0.546041 | − | 0.837758i | \(-0.316134\pi\) |
0.759947 | + | 0.649986i | \(0.225225\pi\) | |||||||
\(660\) | 40.1496 | + | 11.8316i | 1.56282 | + | 0.460544i | ||||
\(661\) | 16.6281 | + | 36.4105i | 0.646758 | + | 1.41620i | 0.894363 | + | 0.447342i | \(0.147629\pi\) |
−0.247605 | + | 0.968861i | \(0.579643\pi\) | |||||||
\(662\) | −9.15160 | − | 1.99549i | −0.355687 | − | 0.0775568i | ||||
\(663\) | −10.2600 | + | 22.4663i | −0.398466 | + | 0.872519i | ||||
\(664\) | −0.411185 | + | 5.63317i | −0.0159571 | + | 0.218609i | ||||
\(665\) | 10.4086 | + | 16.1961i | 0.403629 | + | 0.628059i | ||||
\(666\) | 46.0342 | + | 25.1657i | 1.78379 | + | 0.975152i | ||||
\(667\) | 12.0491 | + | 1.55809i | 0.466543 | + | 0.0603293i | ||||
\(668\) | −9.53975 | + | 6.11767i | −0.369104 | + | 0.236700i | ||||
\(669\) | −27.4236 | − | 42.6719i | −1.06026 | − | 1.64979i | ||||
\(670\) | −9.31143 | − | 6.97755i | −0.359732 | − | 0.269566i | ||||
\(671\) | 11.4261 | + | 5.21813i | 0.441100 | + | 0.201444i | ||||
\(672\) | 43.0884 | − | 57.2675i | 1.66217 | − | 2.20914i | ||||
\(673\) | 11.3035 | + | 24.7513i | 0.435720 | + | 0.954093i | 0.992364 | + | 0.123342i | \(0.0393612\pi\) |
−0.556645 | + | 0.830751i | \(0.687911\pi\) | |||||||
\(674\) | 10.5016 | − | 2.27912i | 0.404508 | − | 0.0877885i | ||||
\(675\) | 2.36424 | + | 16.4437i | 0.0909998 | + | 0.632917i | ||||
\(676\) | −2.48405 | − | 8.49056i | −0.0955404 | − | 0.326560i | ||||
\(677\) | 8.72040 | − | 10.0639i | 0.335152 | − | 0.386786i | −0.563010 | − | 0.826450i | \(-0.690357\pi\) |
0.898163 | + | 0.439664i | \(0.144902\pi\) | |||||||
\(678\) | −62.8109 | + | 34.2576i | −2.41224 | + | 1.31565i | ||||
\(679\) | −16.3199 | + | 25.3942i | −0.626299 | + | 0.974540i | ||||
\(680\) | 4.31703 | − | 5.74931i | 0.165551 | − | 0.220476i | ||||
\(681\) | 4.66381 | − | 15.8835i | 0.178717 | − | 0.608656i | ||||
\(682\) | −22.7350 | + | 60.8642i | −0.870569 | + | 2.33061i | ||||
\(683\) | 5.83371 | + | 6.73246i | 0.223221 | + | 0.257610i | 0.856303 | − | 0.516474i | \(-0.172756\pi\) |
−0.633082 | + | 0.774085i | \(0.718210\pi\) | |||||||
\(684\) | −67.8810 | − | 43.7182i | −2.59550 | − | 1.67161i | ||||
\(685\) | −2.24452 | − | 7.64412i | −0.0857586 | − | 0.292067i | ||||
\(686\) | −2.51607 | + | 1.88159i | −0.0960638 | + | 0.0718393i | ||||
\(687\) | −2.79046 | + | 19.4081i | −0.106463 | + | 0.740465i | ||||
\(688\) | 8.81128 | − | 1.24932i | 0.335927 | − | 0.0476297i | ||||
\(689\) | − | 11.7665i | − | 0.448266i | ||||||
\(690\) | −7.57374 | + | 21.1890i | −0.288328 | + | 0.806651i | ||||
\(691\) | −1.20960 | −0.0460155 | −0.0230078 | − | 0.999735i | \(-0.507324\pi\) | ||||
−0.0230078 | + | 0.999735i | \(0.507324\pi\) | |||||||
\(692\) | 2.43598 | − | 5.32030i | 0.0926021 | − | 0.202248i | ||||
\(693\) | 190.916 | + | 27.4495i | 7.25229 | + | 1.04272i | ||||
\(694\) | 16.5693 | − | 12.3910i | 0.628962 | − | 0.470356i | ||||
\(695\) | −1.84951 | + | 0.543065i | −0.0701559 | + | 0.0205996i | ||||
\(696\) | −11.3624 | − | 20.8814i | −0.430692 | − | 0.791506i | ||||
\(697\) | −2.09101 | + | 1.81187i | −0.0792026 | + | 0.0686294i | ||||
\(698\) | −32.2398 | − | 12.0427i | −1.22029 | − | 0.455824i | ||||
\(699\) | −57.4832 | − | 16.8786i | −2.17421 | − | 0.638406i | ||||
\(700\) | −7.55842 | − | 1.09427i | −0.285681 | − | 0.0413595i | ||||
\(701\) | 2.11593 | + | 1.35983i | 0.0799177 | + | 0.0513600i | 0.579989 | − | 0.814624i | \(-0.303057\pi\) |
−0.500072 | + | 0.865984i | \(0.666693\pi\) | |||||||
\(702\) | −60.4046 | + | 32.9451i | −2.27983 | + | 1.24343i | ||||
\(703\) | 17.6529 | + | 15.2964i | 0.665794 | + | 0.576913i | ||||
\(704\) | 7.32809 | − | 49.9294i | 0.276188 | − | 1.88179i | ||||
\(705\) | −12.3014 | + | 1.76868i | −0.463298 | + | 0.0666122i | ||||
\(706\) | 3.42646 | + | 15.7883i | 0.128957 | + | 0.594200i | ||||
\(707\) | −28.5201 | + | 13.0247i | −1.07261 | + | 0.489844i | ||||
\(708\) | 50.3844 | + | 43.7445i | 1.89356 | + | 1.64402i | ||||
\(709\) | 7.15096 | − | 15.6584i | 0.268560 | − | 0.588064i | −0.726519 | − | 0.687146i | \(-0.758863\pi\) |
0.995079 | + | 0.0990818i | \(0.0315905\pi\) | |||||||
\(710\) | −0.272200 | − | 0.203974i | −0.0102155 | − | 0.00765500i | ||||
\(711\) | −63.6826 | + | 40.9263i | −2.38828 | + | 1.53486i | ||||
\(712\) | 18.9765 | − | 1.32930i | 0.711175 | − | 0.0498175i | ||||
\(713\) | −31.9749 | − | 14.0571i | −1.19747 | − | 0.526444i | ||||
\(714\) | 21.8461 | − | 39.9617i | 0.817569 | − | 1.49553i | ||||
\(715\) | 15.5412 | − | 9.98769i | 0.581206 | − | 0.373518i | ||||
\(716\) | −11.5315 | + | 5.25265i | −0.430952 | + | 0.196301i | ||||
\(717\) | 28.9669 | + | 13.2287i | 1.08179 | + | 0.494036i | ||||
\(718\) | 23.3278 | + | 5.08659i | 0.870587 | + | 0.189830i | ||||
\(719\) | 48.1029 | − | 21.9679i | 1.79394 | − | 0.819264i | 0.827893 | − | 0.560886i | \(-0.189539\pi\) |
0.966044 | − | 0.258378i | \(-0.0831879\pi\) | |||||||
\(720\) | 30.7493 | − | 8.96362i | 1.14596 | − | 0.334055i | ||||
\(721\) | −6.67844 | − | 46.4496i | −0.248718 | − | 1.72987i | ||||
\(722\) | −6.41585 | − | 6.42212i | −0.238773 | − | 0.239006i | ||||
\(723\) | 49.3767 | + | 42.7851i | 1.83634 | + | 1.59120i | ||||
\(724\) | 0.00952900 | − | 9.76035i | 0.000354142 | − | 0.362741i | ||||
\(725\) | −1.36962 | + | 2.13117i | −0.0508664 | + | 0.0791497i | ||||
\(726\) | 126.594 | − | 47.1467i | 4.69834 | − | 1.74978i | ||||
\(727\) | 37.5962 | + | 11.0392i | 1.39437 | + | 0.409423i | 0.890746 | − | 0.454502i | \(-0.150183\pi\) |
0.503621 | + | 0.863925i | \(0.332001\pi\) | |||||||
\(728\) | −6.67837 | − | 30.9179i | −0.247517 | − | 1.14589i | ||||
\(729\) | −54.7689 | − | 63.2067i | −2.02848 | − | 2.34099i | ||||
\(730\) | 0.365062 | − | 5.06946i | 0.0135116 | − | 0.187629i | ||||
\(731\) | 5.42634 | − | 1.59332i | 0.200700 | − | 0.0589309i | ||||
\(732\) | 13.0805 | − | 1.86766i | 0.483470 | − | 0.0690309i | ||||
\(733\) | 5.08741 | − | 35.3837i | 0.187908 | − | 1.30693i | −0.649506 | − | 0.760357i | \(-0.725024\pi\) |
0.837413 | − | 0.546570i | \(-0.184067\pi\) | |||||||
\(734\) | 52.0544 | − | 3.69746i | 1.92136 | − | 0.136476i | ||||
\(735\) | −25.1542 | −0.927828 | ||||||||
\(736\) | 26.5753 | + | 5.45458i | 0.979579 | + | 0.201058i | ||||
\(737\) | −51.9004 | −1.91178 | ||||||||
\(738\) | −12.2948 | + | 0.873308i | −0.452577 | + | 0.0321469i | ||||
\(739\) | −5.17621 | + | 36.0013i | −0.190410 | + | 1.32433i | 0.640515 | + | 0.767945i | \(0.278721\pi\) |
−0.830925 | + | 0.556384i | \(0.812188\pi\) | |||||||
\(740\) | −9.17293 | + | 1.30973i | −0.337203 | + | 0.0481466i | ||||
\(741\) | −47.0027 | + | 13.8012i | −1.72669 | + | 0.507001i | ||||
\(742\) | −1.55843 | + | 21.6412i | −0.0572117 | + | 0.794473i | ||||
\(743\) | −25.3646 | − | 29.2724i | −0.930539 | − | 1.07390i | −0.997099 | − | 0.0761165i | \(-0.975748\pi\) |
0.0665602 | − | 0.997782i | \(-0.478798\pi\) | |||||||
\(744\) | 14.4297 | + | 66.8033i | 0.529020 | + | 2.44913i | ||||
\(745\) | 20.9962 | + | 6.16503i | 0.769240 | + | 0.225869i | ||||
\(746\) | 15.1048 | − | 5.62539i | 0.553025 | − | 0.205960i | ||||
\(747\) | −8.64481 | + | 13.4516i | −0.316297 | + | 0.492168i | ||||
\(748\) | 0.0313091 | − | 32.0692i | 0.00114477 | − | 1.17257i | ||||
\(749\) | 0.806915 | + | 0.699196i | 0.0294840 | + | 0.0255481i | ||||
\(750\) | −3.31610 | − | 3.31934i | −0.121087 | − | 0.121205i | ||||
\(751\) | −4.13765 | − | 28.7780i | −0.150985 | − | 1.05012i | −0.914573 | − | 0.404421i | \(-0.867473\pi\) |
0.763588 | − | 0.645704i | \(-0.223436\pi\) | |||||||
\(752\) | 4.19331 | + | 14.3849i | 0.152914 | + | 0.524565i | ||||
\(753\) | 6.38562 | − | 2.91622i | 0.232705 | − | 0.106273i | ||||
\(754\) | −10.2514 | − | 2.23529i | −0.373333 | − | 0.0814045i | ||||
\(755\) | 1.53617 | + | 0.701545i | 0.0559069 | + | 0.0255318i | ||||
\(756\) | 115.461 | − | 52.5932i | 4.19929 | − | 1.91280i | ||||
\(757\) | −18.1974 | + | 11.6948i | −0.661395 | + | 0.425053i | −0.827814 | − | 0.561002i | \(-0.810416\pi\) |
0.166419 | + | 0.986055i | \(0.446780\pi\) | |||||||
\(758\) | 10.9200 | − | 19.9752i | 0.396631 | − | 0.725533i | ||||
\(759\) | 29.6419 | + | 95.8918i | 1.07593 | + | 3.48065i | ||||
\(760\) | 14.2253 | − | 0.996476i | 0.516006 | − | 0.0361460i | ||||
\(761\) | −34.5120 | + | 22.1795i | −1.25106 | + | 0.804007i | −0.987034 | − | 0.160508i | \(-0.948687\pi\) |
−0.264025 | + | 0.964516i | \(0.585050\pi\) | |||||||
\(762\) | 69.0559 | + | 51.7472i | 2.50163 | + | 1.87460i | ||||
\(763\) | 15.0797 | − | 33.0200i | 0.545922 | − | 1.19540i | ||||
\(764\) | −22.1145 | − | 19.2002i | −0.800075 | − | 0.694637i | ||||
\(765\) | 18.5146 | − | 8.45534i | 0.669397 | − | 0.305704i | ||||
\(766\) | −6.08311 | − | 28.0295i | −0.219792 | − | 1.01275i | ||||
\(767\) | 29.1497 | − | 4.19110i | 1.05254 | − | 0.151332i | ||||
\(768\) | −21.8630 | − | 48.3722i | −0.788912 | − | 1.74548i | ||||
\(769\) | −29.3137 | − | 25.4005i | −1.05708 | − | 0.915965i | −0.0604641 | − | 0.998170i | \(-0.519258\pi\) |
−0.996615 | + | 0.0822058i | \(0.973804\pi\) | |||||||
\(770\) | −29.9065 | + | 16.3113i | −1.07776 | + | 0.587817i | ||||
\(771\) | −32.3226 | − | 20.7725i | −1.16407 | − | 0.748103i | ||||
\(772\) | 53.3088 | + | 7.71778i | 1.91863 | + | 0.277769i | ||||
\(773\) | −20.6966 | − | 6.07708i | −0.744406 | − | 0.218577i | −0.112532 | − | 0.993648i | \(-0.535896\pi\) |
−0.631874 | + | 0.775071i | \(0.717714\pi\) | |||||||
\(774\) | 23.6014 | + | 8.81600i | 0.848336 | + | 0.316885i | ||||
\(775\) | 5.50419 | − | 4.76941i | 0.197716 | − | 0.171322i | ||||
\(776\) | 10.6867 | + | 19.6395i | 0.383628 | + | 0.705016i | ||||
\(777\) | −56.3180 | + | 16.5365i | −2.02040 | + | 0.593242i | ||||
\(778\) | 29.7468 | − | 22.2455i | 1.06647 | − | 0.797541i | ||||
\(779\) | −5.43187 | − | 0.780986i | −0.194617 | − | 0.0279817i | ||||
\(780\) | 8.08986 | − | 17.6687i | 0.289664 | − | 0.632639i | ||||
\(781\) | −1.51720 | −0.0542897 | ||||||||
\(782\) | 17.2115 | + | 0.993969i | 0.615484 | + | 0.0355443i | ||||
\(783\) | − | 42.0856i | − | 1.50402i | ||||||
\(784\) | 4.25738 | + | 30.0268i | 0.152049 | + | 1.07239i | ||||
\(785\) | 2.66850 | − | 18.5598i | 0.0952429 | − | 0.662429i | ||||
\(786\) | −14.4114 | + | 10.7772i | −0.514036 | + | 0.384411i | ||||
\(787\) | 12.5387 | + | 42.7029i | 0.446957 | + | 1.52220i | 0.807736 | + | 0.589544i | \(0.200693\pi\) |
−0.360779 | + | 0.932651i | \(0.617489\pi\) | |||||||
\(788\) | 9.08403 | + | 5.85049i | 0.323605 | + | 0.208415i | ||||
\(789\) | −5.06569 | − | 5.84612i | −0.180343 | − | 0.208127i | ||||
\(790\) | 4.67837 | − | 12.5245i | 0.166449 | − | 0.445602i | ||||
\(791\) | 16.4048 | − | 55.8696i | 0.583288 | − | 1.98650i | ||||
\(792\) | 85.7830 | − | 114.243i | 3.04816 | − | 4.05947i | ||||
\(793\) | 3.15289 | − | 4.90599i | 0.111962 | − | 0.174217i | ||||
\(794\) | 35.5500 | − | 19.3892i | 1.26162 | − | 0.688098i | ||||
\(795\) | −8.72917 | + | 10.0740i | −0.309592 | + | 0.357288i | ||||
\(796\) | −5.13637 | − | 17.5563i | −0.182054 | − | 0.622265i | ||||
\(797\) | −2.72490 | − | 18.9521i | −0.0965208 | − | 0.671317i | −0.979432 | − | 0.201776i | \(-0.935329\pi\) |
0.882911 | − | 0.469541i | \(-0.155580\pi\) | |||||||
\(798\) | 88.2765 | − | 19.1583i | 3.12496 | − | 0.678195i | ||||
\(799\) | 3.95553 | + | 8.66140i | 0.139936 | + | 0.306418i | ||||
\(800\) | −3.40107 | + | 4.52026i | −0.120246 | + | 0.159815i | ||||
\(801\) | 48.9875 | + | 22.3718i | 1.73089 | + | 0.790470i | ||||
\(802\) | 7.26257 | + | 5.44222i | 0.256450 | + | 0.192172i | ||||
\(803\) | −12.2567 | − | 19.0718i | −0.432529 | − | 0.673028i | ||||
\(804\) | −45.9564 | + | 29.4710i | −1.62076 | + | 1.03936i | ||||
\(805\) | −7.84347 | − | 16.5487i | −0.276446 | − | 0.583267i | ||||
\(806\) | 26.4674 | + | 14.4691i | 0.932276 | + | 0.509652i | ||||
\(807\) | −52.5475 | − | 81.7655i | −1.84976 | − | 2.87828i | ||||
\(808\) | −1.69066 | + | 23.1617i | −0.0594771 | + | 0.814827i | ||||
\(809\) | 17.5032 | − | 38.3266i | 0.615378 | − | 1.34749i | −0.303455 | − | 0.952846i | \(-0.598140\pi\) |
0.918834 | − | 0.394645i | \(-0.129132\pi\) | |||||||
\(810\) | 42.9650 | + | 9.36844i | 1.50964 | + | 0.329173i | ||||
\(811\) | −0.397935 | − | 0.871357i | −0.0139734 | − | 0.0305975i | 0.902517 | − | 0.430655i | \(-0.141717\pi\) |
−0.916490 | + | 0.400058i | \(0.868990\pi\) | |||||||
\(812\) | 18.5585 | + | 5.46897i | 0.651277 | + | 0.191923i | ||||
\(813\) | −49.0487 | + | 7.05214i | −1.72021 | + | 0.247329i | ||||
\(814\) | −29.2393 | + | 29.2107i | −1.02484 | + | 1.02384i | ||||
\(815\) | 6.36421 | − | 7.34469i | 0.222928 | − | 0.257273i | ||||
\(816\) | −18.1824 | − | 28.4142i | −0.636510 | − | 0.994694i | ||||
\(817\) | 9.43642 | + | 6.06442i | 0.330138 | + | 0.212167i | ||||
\(818\) | −18.0344 | + | 6.71647i | −0.630559 | + | 0.234836i | ||||
\(819\) | 25.2284 | − | 85.9199i | 0.881550 | − | 3.00229i | ||||
\(820\) | 1.64660 | − | 1.42398i | 0.0575019 | − | 0.0497274i | ||||
\(821\) | −39.8420 | + | 34.5233i | −1.39050 | + | 1.20487i | −0.438512 | + | 0.898725i | \(0.644494\pi\) |
−0.951984 | + | 0.306147i | \(0.900960\pi\) | |||||||
\(822\) | −37.2836 | − | 2.68487i | −1.30041 | − | 0.0936455i | ||||
\(823\) | 11.9771 | + | 40.7901i | 0.417494 | + | 1.42185i | 0.853114 | + | 0.521724i | \(0.174711\pi\) |
−0.435620 | + | 0.900131i | \(0.643471\pi\) | |||||||
\(824\) | −32.5494 | − | 12.1946i | −1.13391 | − | 0.424820i | ||||
\(825\) | −20.7153 | − | 2.97841i | −0.721214 | − | 0.103695i | ||||
\(826\) | −54.1680 | + | 3.84760i | −1.88475 | + | 0.133875i | ||||
\(827\) | 11.3451i | 0.394508i | 0.980352 | + | 0.197254i | \(0.0632024\pi\) | ||||
−0.980352 | + | 0.197254i | \(0.936798\pi\) | |||||||
\(828\) | 58.7040 | + | 49.5233i | 2.04011 | + | 1.72105i | ||||
\(829\) | − | 30.6448i | − | 1.06434i | −0.846638 | − | 0.532169i | \(-0.821377\pi\) | ||
0.846638 | − | 0.532169i | \(-0.178623\pi\) | |||||||
\(830\) | −0.200092 | − | 2.81698i | −0.00694530 | − | 0.0977788i | ||||
\(831\) | −85.1580 | − | 12.2439i | −2.95410 | − | 0.424735i | ||||
\(832\) | −22.4604 | − | 6.66649i | −0.778675 | − | 0.231119i | ||||
\(833\) | 5.42965 | + | 18.4917i | 0.188126 | + | 0.640700i | ||||
\(834\) | −0.649609 | + | 9.02083i | −0.0224941 | + | 0.312366i | ||||
\(835\) | 4.28239 | − | 3.71071i | 0.148198 | − | 0.128414i | ||||
\(836\) | 48.1115 | − | 41.6067i | 1.66397 | − | 1.43900i | ||||
\(837\) | −34.0874 | + | 116.091i | −1.17823 | + | 4.01270i | ||||
\(838\) | −7.10269 | − | 19.0715i | −0.245358 | − | 0.658813i | ||||
\(839\) | 28.4595 | + | 18.2898i | 0.982532 | + | 0.631435i | 0.930145 | − | 0.367192i | \(-0.119681\pi\) |
0.0523867 | + | 0.998627i | \(0.483317\pi\) | |||||||
\(840\) | −17.2193 | + | 31.4252i | −0.594121 | + | 1.08427i | ||||
\(841\) | −14.7882 | + | 17.0665i | −0.509939 | + | 0.588501i | ||||
\(842\) | −33.4104 | − | 33.4430i | −1.15140 | − | 1.15252i | ||||
\(843\) | −76.0253 | + | 10.9308i | −2.61845 | + | 0.376476i | ||||
\(844\) | −3.86332 | + | 13.1099i | −0.132981 | + | 0.451261i | ||||
\(845\) | 1.83748 | + | 4.02352i | 0.0632112 | + | 0.138413i | ||||
\(846\) | −9.03699 | + | 41.4450i | −0.310698 | + | 1.42491i | ||||
\(847\) | −45.6720 | + | 100.008i | −1.56931 | + | 3.43631i | ||||
\(848\) | 13.5028 | + | 8.71504i | 0.463689 | + | 0.299276i | ||||
\(849\) | −23.4343 | − | 36.4645i | −0.804263 | − | 1.25146i | ||||
\(850\) | −1.72436 | + | 3.15427i | −0.0591451 | + | 0.108191i | ||||
\(851\) | −14.7873 | − | 16.5837i | −0.506904 | − | 0.568480i | ||||
\(852\) | −1.34344 | + | 0.861523i | −0.0460254 | + | 0.0295153i | ||||
\(853\) | 11.6781 | + | 18.1715i | 0.399851 | + | 0.622180i | 0.981546 | − | 0.191227i | \(-0.0612467\pi\) |
−0.581695 | + | 0.813407i | \(0.697610\pi\) | |||||||
\(854\) | −6.44866 | + | 8.60564i | −0.220668 | + | 0.294479i | ||||
\(855\) | 36.7223 | + | 16.7705i | 1.25588 | + | 0.573539i | ||||
\(856\) | 0.741383 | − | 0.275285i | 0.0253399 | − | 0.00940906i | ||||
\(857\) | −11.4363 | − | 25.0421i | −0.390658 | − | 0.855421i | −0.998133 | − | 0.0610825i | \(-0.980545\pi\) |
0.607475 | − | 0.794339i | \(-0.292183\pi\) | |||||||
\(858\) | −18.3835 | − | 84.7066i | −0.627602 | − | 2.89184i | ||||
\(859\) | −3.69794 | − | 25.7198i | −0.126172 | − | 0.877547i | −0.950343 | − | 0.311205i | \(-0.899267\pi\) |
0.824170 | − | 0.566342i | \(-0.191642\pi\) | |||||||
\(860\) | −4.27068 | + | 1.24946i | −0.145629 | + | 0.0426061i | ||||
\(861\) | 9.03042 | − | 10.4217i | 0.307756 | − | 0.355169i | ||||
\(862\) | 0.645859 | + | 1.18418i | 0.0219980 | + | 0.0403332i | ||||
\(863\) | −4.13293 | + | 6.43097i | −0.140687 | + | 0.218913i | −0.904446 | − | 0.426589i | \(-0.859715\pi\) |
0.763759 | + | 0.645501i | \(0.223352\pi\) | |||||||
\(864\) | 6.93294 | − | 93.7199i | 0.235863 | − | 3.18842i | ||||
\(865\) | −0.824274 | + | 2.80722i | −0.0280262 | + | 0.0954483i | ||||
\(866\) | 51.4915 | + | 19.2340i | 1.74975 | + | 0.653597i | ||||
\(867\) | 22.8966 | + | 26.4241i | 0.777609 | + | 0.897409i | ||||
\(868\) | −46.7633 | − | 30.1175i | −1.58725 | − | 1.02225i | ||||
\(869\) | −16.8012 | − | 57.2196i | −0.569942 | − | 1.94104i | ||||
\(870\) | 7.11855 | + | 9.51895i | 0.241341 | + | 0.322723i | ||||
\(871\) | −3.42917 | + | 23.8504i | −0.116193 | + | 0.808139i | ||||
\(872\) | −16.0816 | − | 21.5481i | −0.544590 | − | 0.729712i | ||||
\(873\) | 63.2976i | 2.14230i | ||||||||
\(874\) | 20.8655 | + | 27.0906i | 0.705788 | + | 0.916354i | ||||
\(875\) | 3.81861 | 0.129093 | ||||||||
\(876\) | −21.6826 | − | 9.92771i | −0.732588 | − | 0.335426i | ||||
\(877\) | −47.8267 | − | 6.87645i | −1.61499 | − | 0.232201i | −0.725192 | − | 0.688547i | \(-0.758249\pi\) |
−0.889803 | + | 0.456346i | \(0.849158\pi\) | |||||||
\(878\) | 12.3177 | + | 16.4712i | 0.415701 | + | 0.555876i | ||||
\(879\) | −15.8172 | + | 4.64435i | −0.533501 | + | 0.156650i | ||||
\(880\) | −0.0492681 | + | 25.2321i | −0.00166083 | + | 0.850574i | ||||
\(881\) | 14.6371 | − | 12.6831i | 0.493135 | − | 0.427304i | −0.372460 | − | 0.928048i | \(-0.621486\pi\) |
0.865595 | + | 0.500744i | \(0.166940\pi\) | |||||||
\(882\) | −30.0429 | + | 80.4282i | −1.01160 | + | 2.70816i | ||||
\(883\) | −9.90800 | − | 2.90925i | −0.333431 | − | 0.0979041i | 0.110732 | − | 0.993850i | \(-0.464681\pi\) |
−0.444163 | + | 0.895946i | \(0.646499\pi\) | |||||||
\(884\) | −14.7350 | − | 2.13326i | −0.495593 | − | 0.0717494i | ||||
\(885\) | −28.0661 | − | 18.0370i | −0.943433 | − | 0.606307i | ||||
\(886\) | 15.2839 | + | 28.0230i | 0.513474 | + | 0.941449i | ||||
\(887\) | −1.81259 | − | 1.57061i | −0.0608607 | − | 0.0527361i | 0.623899 | − | 0.781505i | \(-0.285548\pi\) |
−0.684760 | + | 0.728769i | \(0.740093\pi\) | |||||||
\(888\) | −9.30360 | + | 42.4684i | −0.312208 | + | 1.42515i | ||||
\(889\) | −69.5157 | + | 9.99485i | −2.33148 | + | 0.335217i | ||||
\(890\) | −9.29512 | + | 2.01728i | −0.311573 | + | 0.0676193i | ||||
\(891\) | 178.421 | − | 81.4823i | 5.97734 | − | 2.72976i | ||||
\(892\) | 20.0467 | − | 23.0895i | 0.671213 | − | 0.773095i | ||||
\(893\) | −7.84548 | + | 17.1792i | −0.262539 | + | 0.574880i | ||||
\(894\) | 61.5693 | − | 82.1633i | 2.05919 | − | 2.74795i | ||||
\(895\) | 5.32995 | − | 3.42535i | 0.178160 | − | 0.114497i | ||||
\(896\) | 40.4269 | + | 15.2360i | 1.35057 | + | 0.508999i | ||||
\(897\) | 46.0247 | − | 7.28591i | 1.53672 | − | 0.243270i | ||||
\(898\) | 25.3182 | + | 13.8408i | 0.844880 | + | 0.461875i | ||||
\(899\) | −15.5215 | + | 9.97507i | −0.517671 | + | 0.332687i | ||||
\(900\) | −14.5738 | + | 6.63846i | −0.485795 | + | 0.221282i | ||||
\(901\) | 9.28996 | + | 4.24258i | 0.309493 | + | 0.141341i | ||||
\(902\) | 2.06866 | − | 9.48718i | 0.0688788 | − | 0.315888i | ||||
\(903\) | −25.6397 | + | 11.7092i | −0.853234 | + | 0.389659i | ||||
\(904\) | −30.4524 | − | 30.5417i | −1.01283 | − | 1.01580i | ||||
\(905\) | 0.694522 | + | 4.83050i | 0.0230867 | + | 0.160571i | ||||
\(906\) | 5.60564 | − | 5.60017i | 0.186235 | − | 0.186053i | ||||
\(907\) | −38.8379 | − | 33.6533i | −1.28959 | − | 1.11744i | −0.986374 | − | 0.164517i | \(-0.947393\pi\) |
−0.303218 | − | 0.952921i | \(-0.598061\pi\) | |||||||
\(908\) | 9.97914 | + | 0.00974260i | 0.331170 | + | 0.000323320i | ||||
\(909\) | −35.5446 | + | 55.3085i | −1.17894 | + | 1.83447i | ||||
\(910\) | 5.51970 | + | 14.8210i | 0.182976 | + | 0.491311i | ||||
\(911\) | 5.62508 | + | 1.65167i | 0.186367 | + | 0.0547224i | 0.373584 | − | 0.927596i | \(-0.378129\pi\) |
−0.187217 | + | 0.982319i | \(0.559947\pi\) | |||||||
\(912\) | 18.9755 | − | 64.1610i | 0.628342 | − | 2.12458i | ||||
\(913\) | −8.24907 | − | 9.51994i | −0.273004 | − | 0.315064i | ||||
\(914\) | 21.1910 | + | 1.52600i | 0.700934 | + | 0.0504757i | ||||
\(915\) | −6.33898 | + | 1.86129i | −0.209560 | + | 0.0615325i | ||||
\(916\) | −11.7013 | + | 1.67073i | −0.386622 | + | 0.0552026i | ||||
\(917\) | 2.08431 | − | 14.4967i | 0.0688301 | − | 0.478724i | ||||
\(918\) | −4.23131 | − | 59.5701i | −0.139654 | − | 1.96611i | ||||
\(919\) | 47.7657 | 1.57564 | 0.787822 | − | 0.615903i | \(-0.211209\pi\) | ||||
0.787822 | + | 0.615903i | \(0.211209\pi\) | |||||||
\(920\) | −13.5413 | − | 0.795279i | −0.446444 | − | 0.0262196i | ||||
\(921\) | 19.6993 | 0.649115 | ||||||||
\(922\) | −0.754380 | − | 10.6205i | −0.0248442 | − | 0.349767i | ||||
\(923\) | −0.100244 | + | 0.697215i | −0.00329959 | + | 0.0229491i | ||||
\(924\) | 22.5923 | + | 158.229i | 0.743233 | + | 5.20537i | ||||
\(925\) | 4.44531 | − | 1.30526i | 0.146161 | − | 0.0429167i | ||||
\(926\) | −50.3496 | − | 3.62578i | −1.65459 | − | 0.119151i | ||||
\(927\) | −64.4397 | − | 74.3674i | −2.11648 | − | 2.44254i | ||||
\(928\) | 10.1580 | − | 10.1086i | 0.333453 | − | 0.331829i | ||||
\(929\) | 49.2129 | + | 14.4502i | 1.61462 | + | 0.474096i | 0.959566 | − | 0.281484i | \(-0.0908268\pi\) |
0.655056 | + | 0.755580i | \(0.272645\pi\) | |||||||
\(930\) | −11.9263 | − | 32.0233i | −0.391077 | − | 1.05008i | ||||
\(931\) | −20.6661 | + | 32.1571i | −0.677305 | + | 1.05391i | ||||
\(932\) | 0.0352590 | − | 36.1151i | 0.00115495 | − | 1.18299i | ||||
\(933\) | −22.8704 | − | 19.8173i | −0.748743 | − | 0.648790i | ||||
\(934\) | 18.8750 | − | 18.8566i | 0.617609 | − | 0.617006i | ||||
\(935\) | 2.28196 | + | 15.8714i | 0.0746282 | + | 0.519050i | ||||
\(936\) | −46.8317 | − | 46.9691i | −1.53074 | − | 1.53523i | ||||
\(937\) | 41.8425 | − | 19.1088i | 1.36694 | − | 0.624259i | 0.409343 | − | 0.912381i | \(-0.365758\pi\) |
0.957594 | + | 0.288122i | \(0.0930308\pi\) | |||||||
\(938\) | 9.46591 | − | 43.4121i | 0.309073 | − | 1.41745i | ||||
\(939\) | 17.9168 | + | 8.18235i | 0.584694 | + | 0.267021i | ||||
\(940\) | −3.10557 | − | 6.81785i | −0.101292 | − | 0.222374i | ||||
\(941\) | −35.2493 | + | 22.6533i | −1.14909 | + | 0.738477i | −0.969458 | − | 0.245256i | \(-0.921128\pi\) |
−0.179635 | + | 0.983733i | \(0.557492\pi\) | |||||||
\(942\) | −77.1955 | − | 42.2009i | −2.51517 | − | 1.37498i | ||||
\(943\) | 5.02902 | + | 1.39939i | 0.163767 | + | 0.0455704i | ||||
\(944\) | −16.7807 | + | 36.5555i | −0.546165 | + | 1.18978i | ||||
\(945\) | −53.3672 | + | 34.2970i | −1.73603 | + | 1.11568i | ||||
\(946\) | −11.9020 | + | 15.8831i | −0.386969 | + | 0.516404i | ||||
\(947\) | 10.6834 | − | 23.3934i | 0.347164 | − | 0.760183i | −0.652832 | − | 0.757502i | \(-0.726419\pi\) |
0.999996 | − | 0.00268076i | \(-0.000853313\pi\) | |||||||
\(948\) | −47.3684 | − | 41.1260i | −1.53845 | − | 1.33571i | ||||
\(949\) | −9.57408 | + | 4.37234i | −0.310788 | + | 0.141932i | ||||
\(950\) | −6.96787 | + | 1.51221i | −0.226068 | + | 0.0490624i | ||||
\(951\) | 38.2493 | − | 5.49942i | 1.24032 | − | 0.178331i | ||||
\(952\) | 26.8185 | + | 5.87516i | 0.869194 | + | 0.190415i | ||||
\(953\) | 11.6474 | + | 10.0925i | 0.377295 | + | 0.326928i | 0.822779 | − | 0.568362i | \(-0.192423\pi\) |
−0.445483 | + | 0.895290i | \(0.646968\pi\) | |||||||
\(954\) | 21.7850 | + | 39.9425i | 0.705314 | + | 1.29319i | ||||
\(955\) | 12.3187 | + | 7.91673i | 0.398623 | + | 0.256179i | ||||
\(956\) | −2.75052 | + | 18.9986i | −0.0889582 | + | 0.614459i | ||||
\(957\) | 50.8707 | + | 14.9370i | 1.64442 | + | 0.482844i | ||||
\(958\) | −14.7497 | + | 39.4867i | −0.476542 | + | 1.27576i | ||||
\(959\) | 22.9916 | − | 19.9223i | 0.742437 | − | 0.643325i | ||||
\(960\) | 14.2841 | + | 22.3703i | 0.461018 | + | 0.721998i | ||||
\(961\) | 21.1504 | − | 6.21033i | 0.682272 | − | 0.200333i | ||||
\(962\) | 11.4916 | + | 15.3667i | 0.370505 | + | 0.495441i | ||||
\(963\) | 2.21609 | + | 0.318625i | 0.0714123 | + | 0.0102675i | ||||
\(964\) | −16.3962 | + | 35.8101i | −0.528086 | + | 1.15337i | ||||
\(965\) | −26.9323 | −0.866982 | ||||||||
\(966\) | −85.6149 | + | 7.30464i | −2.75461 | + | 0.235023i | ||||
\(967\) | − | 23.1422i | − | 0.744202i | −0.928192 | − | 0.372101i | \(-0.878638\pi\) | ||
0.928192 | − | 0.372101i | \(-0.121362\pi\) | |||||||
\(968\) | 48.7063 | + | 65.2629i | 1.56548 | + | 2.09763i | ||||
\(969\) | 6.05109 | − | 42.0862i | 0.194389 | − | 1.35200i | ||||
\(970\) | −6.69518 | − | 8.95281i | −0.214969 | − | 0.287458i | ||||
\(971\) | 4.41267 | + | 15.0282i | 0.141609 | + | 0.482277i | 0.999502 | − | 0.0315517i | \(-0.0100449\pi\) |
−0.857893 | + | 0.513829i | \(0.828227\pi\) | |||||||
\(972\) | 57.7472 | − | 89.6639i | 1.85224 | − | 2.87597i | ||||
\(973\) | −4.82024 | − | 5.56286i | −0.154530 | − | 0.178337i | ||||
\(974\) | −23.2985 | − | 8.70283i | −0.746531 | − | 0.278857i | ||||
\(975\) | −2.73740 | + | 9.32274i | −0.0876671 | + | 0.298567i | ||||
\(976\) | 3.29472 | + | 7.25187i | 0.105461 | + | 0.232127i | ||||
\(977\) | −17.0572 | + | 26.5415i | −0.545709 | + | 0.849139i | −0.999111 | − | 0.0421670i | \(-0.986574\pi\) |
0.453402 | + | 0.891306i | \(0.350210\pi\) | |||||||
\(978\) | −21.8335 | − | 40.0315i | −0.698158 | − | 1.28007i | ||||
\(979\) | −27.7829 | + | 32.0632i | −0.887945 | + | 1.02474i | ||||
\(980\) | −4.25786 | − | 14.5535i | −0.136012 | − | 0.464894i | ||||
\(981\) | −10.8328 | − | 75.3438i | −0.345865 | − | 2.40554i | ||||
\(982\) | −3.70091 | − | 17.0529i | −0.118101 | − | 0.544180i | ||||
\(983\) | 9.87806 | + | 21.6299i | 0.315061 | + | 0.689888i | 0.999222 | − | 0.0394436i | \(-0.0125585\pi\) |
−0.684161 | + | 0.729331i | \(0.739831\pi\) | |||||||
\(984\) | −3.55543 | − | 9.57529i | −0.113343 | − | 0.305249i | ||||
\(985\) | −4.91428 | − | 2.24428i | −0.156582 | − | 0.0715086i | ||||
\(986\) | 5.46112 | − | 7.28778i | 0.173917 | − | 0.232090i | ||||
\(987\) | −25.6574 | − | 39.9237i | −0.816683 | − | 1.27078i | ||||
\(988\) | −15.9411 | − | 24.8582i | −0.507155 | − | 0.790845i | ||||
\(989\) | −8.16228 | − | 6.87215i | −0.259545 | − | 0.218522i | ||||
\(990\) | −34.2645 | + | 62.6779i | −1.08900 | + | 1.99203i | ||||
\(991\) | 4.30473 | + | 6.69830i | 0.136744 | + | 0.212778i | 0.902871 | − | 0.429911i | \(-0.141455\pi\) |
−0.766127 | + | 0.642689i | \(0.777819\pi\) | |||||||
\(992\) | −36.2079 | + | 19.6564i | −1.14960 | + | 0.624092i | ||||
\(993\) | 9.12831 | − | 19.9882i | 0.289678 | − | 0.634307i | ||||
\(994\) | 0.276716 | − | 1.26906i | 0.00877690 | − | 0.0402521i | ||||
\(995\) | 3.79943 | + | 8.31958i | 0.120450 | + | 0.263749i | ||||
\(996\) | −12.7101 | − | 3.74550i | −0.402735 | − | 0.118681i | ||||
\(997\) | 54.6260 | − | 7.85403i | 1.73002 | − | 0.248740i | 0.795832 | − | 0.605517i | \(-0.207034\pi\) |
0.934189 | + | 0.356778i | \(0.116125\pi\) | |||||||
\(998\) | −40.1734 | − | 40.2126i | −1.27167 | − | 1.27291i | ||||
\(999\) | −50.4024 | + | 58.1675i | −1.59466 | + | 1.84034i |
(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 | 920.2.bb.a.11.3 | ✓ | 480 | |
8.3 | odd | 2 | 920.2.bb.b.11.17 | yes | 480 | ||
23.21 | odd | 22 | 920.2.bb.b.251.17 | yes | 480 | ||
184.67 | even | 22 | inner | 920.2.bb.a.251.3 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bb.a.11.3 | ✓ | 480 | 1.1 | even | 1 | trivial | |
920.2.bb.a.251.3 | yes | 480 | 184.67 | even | 22 | inner | |
920.2.bb.b.11.17 | yes | 480 | 8.3 | odd | 2 | ||
920.2.bb.b.251.17 | yes | 480 | 23.21 | odd | 22 |